id	sid	tid	token	lemma	pos
cord-348010-m3a3utvz	1	1	key	key	NN
cord-348010-m3a3utvz	1	2	:	:	:
cord-348010-m3a3utvz	1	3	cord-348010-m3a3utvz	cord-348010-m3a3utvz	NNS
cord-348010-m3a3utvz	1	4	authors	author	NNS
cord-348010-m3a3utvz	1	5	:	:	:
cord-348010-m3a3utvz	1	6	Wolff	Wolff	NNP
cord-348010-m3a3utvz	1	7	,	,	,
cord-348010-m3a3utvz	2	1	Michael	Michael	NNP
cord-348010-m3a3utvz	2	2	title	title	NN
cord-348010-m3a3utvz	2	3	:	:	:
cord-348010-m3a3utvz	3	1	On	on	IN
cord-348010-m3a3utvz	3	2	build‐up	build‐up	JJ
cord-348010-m3a3utvz	3	3	of	of	IN
cord-348010-m3a3utvz	3	4	epidemiologic	epidemiologic	JJ
cord-348010-m3a3utvz	3	5	models	model	NNS
cord-348010-m3a3utvz	3	6	—	—	:
cord-348010-m3a3utvz	3	7	Development	development	NN
cord-348010-m3a3utvz	3	8	of	of	IN
cord-348010-m3a3utvz	3	9	a	a	DT
cord-348010-m3a3utvz	3	10	SEI(3)RSD	sei(3)rsd	NN
cord-348010-m3a3utvz	3	11	model	model	NN
cord-348010-m3a3utvz	3	12	for	for	IN
cord-348010-m3a3utvz	3	13	the	the	DT
cord-348010-m3a3utvz	3	14	spread	spread	NN
cord-348010-m3a3utvz	3	15	of	of	IN
cord-348010-m3a3utvz	3	16	SARS‐CoV‐2	SARS‐CoV‐2	NNP
cord-348010-m3a3utvz	3	17	date	date	NN
cord-348010-m3a3utvz	3	18	:	:	:
cord-348010-m3a3utvz	3	19	2020	2020	CD
cord-348010-m3a3utvz	3	20	-	-	SYM
cord-348010-m3a3utvz	3	21	10	10	CD
cord-348010-m3a3utvz	3	22	-	-	SYM
cord-348010-m3a3utvz	3	23	13	13	CD
cord-348010-m3a3utvz	3	24	journal	journal	NN
cord-348010-m3a3utvz	3	25	:	:	:
cord-348010-m3a3utvz	3	26	Z	Z	NNP
cord-348010-m3a3utvz	3	27	Angew	Angew	NNP
cord-348010-m3a3utvz	3	28	Math	Math	NNP
cord-348010-m3a3utvz	3	29	Mech	Mech	NNP
cord-348010-m3a3utvz	3	30	DOI	DOI	NNP
cord-348010-m3a3utvz	3	31	:	:	:
cord-348010-m3a3utvz	3	32	10.1002	10.1002	CD
cord-348010-m3a3utvz	3	33	/	/	SYM
cord-348010-m3a3utvz	3	34	zamm.202000230	zamm.202000230	NNP
cord-348010-m3a3utvz	3	35	sha	sha	NNP
cord-348010-m3a3utvz	3	36	:	:	:
cord-348010-m3a3utvz	3	37	f0152b757da7738009af1ae5a7166dd82ed86b0f	f0152b757da7738009af1ae5a7166dd82ed86b0f	VBG
cord-348010-m3a3utvz	3	38	doc_id	doc_id	CD
cord-348010-m3a3utvz	3	39	:	:	:
cord-348010-m3a3utvz	3	40	348010	348010	CD
cord-348010-m3a3utvz	3	41	cord_uid	cord_uid	NNS
cord-348010-m3a3utvz	3	42	:	:	:
cord-348010-m3a3utvz	3	43	m3a3utvz	m3a3utvz	.
cord-348010-m3a3utvz	4	1	The	the	DT
cord-348010-m3a3utvz	4	2	present	present	JJ
cord-348010-m3a3utvz	4	3	study	study	NN
cord-348010-m3a3utvz	4	4	investigates	investigate	VBZ
cord-348010-m3a3utvz	4	5	essential	essential	JJ
cord-348010-m3a3utvz	4	6	steps	step	NNS
cord-348010-m3a3utvz	4	7	in	in	IN
cord-348010-m3a3utvz	4	8	build‐up	build‐up	NNP
cord-348010-m3a3utvz	4	9	of	of	IN
cord-348010-m3a3utvz	4	10	models	model	NNS
cord-348010-m3a3utvz	4	11	for	for	IN
cord-348010-m3a3utvz	4	12	description	description	NN
cord-348010-m3a3utvz	4	13	of	of	IN
cord-348010-m3a3utvz	4	14	the	the	DT
cord-348010-m3a3utvz	4	15	spread	spread	NN
cord-348010-m3a3utvz	4	16	of	of	IN
cord-348010-m3a3utvz	4	17	infectious	infectious	JJ
cord-348010-m3a3utvz	4	18	diseases	disease	NNS
cord-348010-m3a3utvz	4	19	.	.	.
cord-348010-m3a3utvz	5	1	Combining	combine	VBG
cord-348010-m3a3utvz	5	2	these	these	DT
cord-348010-m3a3utvz	5	3	modules	module	NNS
cord-348010-m3a3utvz	5	4	,	,	,
cord-348010-m3a3utvz	5	5	a	a	DT
cord-348010-m3a3utvz	5	6	SEI(3)RSD	sei(3)rsd	NN
cord-348010-m3a3utvz	5	7	model	model	NN
cord-348010-m3a3utvz	5	8	will	will	MD
cord-348010-m3a3utvz	5	9	be	be	VB
cord-348010-m3a3utvz	5	10	developed	develop	VBN
cord-348010-m3a3utvz	5	11	,	,	,
cord-348010-m3a3utvz	5	12	which	which	WDT
cord-348010-m3a3utvz	5	13	can	can	MD
cord-348010-m3a3utvz	5	14	take	take	VB
cord-348010-m3a3utvz	5	15	into	into	IN
cord-348010-m3a3utvz	5	16	account	account	NN
cord-348010-m3a3utvz	5	17	a	a	DT
cord-348010-m3a3utvz	5	18	possible	possible	JJ
cord-348010-m3a3utvz	5	19	passive	passive	JJ
cord-348010-m3a3utvz	5	20	immunisation	immunisation	NN
cord-348010-m3a3utvz	5	21	by	by	IN
cord-348010-m3a3utvz	5	22	vaccination	vaccination	NN
cord-348010-m3a3utvz	5	23	as	as	RB
cord-348010-m3a3utvz	5	24	well	well	RB
cord-348010-m3a3utvz	5	25	as	as	IN
cord-348010-m3a3utvz	5	26	different	different	JJ
cord-348010-m3a3utvz	5	27	durations	duration	NNS
cord-348010-m3a3utvz	5	28	of	of	IN
cord-348010-m3a3utvz	5	29	latent	latent	JJ
cord-348010-m3a3utvz	5	30	and	and	CC
cord-348010-m3a3utvz	5	31	incubation	incubation	NN
cord-348010-m3a3utvz	5	32	periods	period	NNS
cord-348010-m3a3utvz	5	33	.	.	.
cord-348010-m3a3utvz	6	1	Besides	besides	RB
cord-348010-m3a3utvz	6	2	,	,	,
cord-348010-m3a3utvz	6	3	infectious	infectious	JJ
cord-348010-m3a3utvz	6	4	persons	person	NNS
cord-348010-m3a3utvz	6	5	with	with	IN
cord-348010-m3a3utvz	6	6	and	and	CC
cord-348010-m3a3utvz	6	7	without	without	IN
cord-348010-m3a3utvz	6	8	symptoms	symptom	NNS
cord-348010-m3a3utvz	6	9	can	can	MD
cord-348010-m3a3utvz	6	10	be	be	VB
cord-348010-m3a3utvz	6	11	distinguished	distinguish	VBN
cord-348010-m3a3utvz	6	12	.	.	.
cord-348010-m3a3utvz	7	1	Due	due	IN
cord-348010-m3a3utvz	7	2	to	to	IN
cord-348010-m3a3utvz	7	3	the	the	DT
cord-348010-m3a3utvz	7	4	current	current	JJ
cord-348010-m3a3utvz	7	5	world‐wide	world‐wide	NNP
cord-348010-m3a3utvz	7	6	SARS‐CoV‐2	SARS‐CoV‐2	NNP
cord-348010-m3a3utvz	7	7	pandemic	pandemic	NN
cord-348010-m3a3utvz	7	8	(	(	-LRB-
cord-348010-m3a3utvz	7	9	COVID‐19	COVID‐19	NNP
cord-348010-m3a3utvz	7	10	pandemic	pandemic	NN
cord-348010-m3a3utvz	7	11	)	)	-RRB-
cord-348010-m3a3utvz	7	12	models	model	NNS
cord-348010-m3a3utvz	7	13	for	for	IN
cord-348010-m3a3utvz	7	14	description	description	NN
cord-348010-m3a3utvz	7	15	of	of	IN
cord-348010-m3a3utvz	7	16	the	the	DT
cord-348010-m3a3utvz	7	17	spread	spread	NN
cord-348010-m3a3utvz	7	18	of	of	IN
cord-348010-m3a3utvz	7	19	infectious	infectious	JJ
cord-348010-m3a3utvz	7	20	diseases	disease	NNS
cord-348010-m3a3utvz	7	21	and	and	CC
cord-348010-m3a3utvz	7	22	their	-PRON-	PRP$
cord-348010-m3a3utvz	7	23	application	application	NN
cord-348010-m3a3utvz	7	24	for	for	IN
cord-348010-m3a3utvz	7	25	forecasts	forecast	NNS
cord-348010-m3a3utvz	7	26	have	have	VBP
cord-348010-m3a3utvz	7	27	become	become	VBN
cord-348010-m3a3utvz	7	28	into	into	IN
cord-348010-m3a3utvz	7	29	the	the	DT
cord-348010-m3a3utvz	7	30	focus	focus	NN
cord-348010-m3a3utvz	7	31	of	of	IN
cord-348010-m3a3utvz	7	32	the	the	DT
cord-348010-m3a3utvz	7	33	scientific	scientific	JJ
cord-348010-m3a3utvz	7	34	community	community	NN
cord-348010-m3a3utvz	7	35	as	as	RB
cord-348010-m3a3utvz	7	36	well	well	RB
cord-348010-m3a3utvz	7	37	as	as	IN
cord-348010-m3a3utvz	7	38	of	of	IN
cord-348010-m3a3utvz	7	39	broad	broad	JJ
cord-348010-m3a3utvz	7	40	public	public	NN
cord-348010-m3a3utvz	7	41	more	more	RBR
cord-348010-m3a3utvz	7	42	than	than	IN
cord-348010-m3a3utvz	7	43	usual	usual	JJ
cord-348010-m3a3utvz	7	44	.	.	.
cord-348010-m3a3utvz	8	1	Currently	currently	RB
cord-348010-m3a3utvz	8	2	,	,	,
cord-348010-m3a3utvz	8	3	many	many	JJ
cord-348010-m3a3utvz	8	4	papers	paper	NNS
cord-348010-m3a3utvz	8	5	and	and	CC
cord-348010-m3a3utvz	8	6	studies	study	NNS
cord-348010-m3a3utvz	8	7	have	have	VBP
cord-348010-m3a3utvz	8	8	appeared	appear	VBN
cord-348010-m3a3utvz	8	9	and	and	CC
cord-348010-m3a3utvz	8	10	appear	appear	VB
cord-348010-m3a3utvz	8	11	dealing	deal	VBG
cord-348010-m3a3utvz	8	12	with	with	IN
cord-348010-m3a3utvz	8	13	the	the	DT
cord-348010-m3a3utvz	8	14	virus	virus	NN
cord-348010-m3a3utvz	8	15	SARS‐CoV‐2	sars‐cov‐2	NN
cord-348010-m3a3utvz	8	16	and	and	CC
cord-348010-m3a3utvz	8	17	the	the	DT
cord-348010-m3a3utvz	8	18	COVID‐19	COVID‐19	NNP
cord-348010-m3a3utvz	8	19	disease	disease	NN
cord-348010-m3a3utvz	8	20	caused	cause	VBN
cord-348010-m3a3utvz	8	21	by	by	IN
cord-348010-m3a3utvz	8	22	it	-PRON-	PRP
cord-348010-m3a3utvz	8	23	.	.	.
cord-348010-m3a3utvz	9	1	This	this	DT
cord-348010-m3a3utvz	9	2	occurs	occur	VBZ
cord-348010-m3a3utvz	9	3	under	under	IN
cord-348010-m3a3utvz	9	4	medical	medical	JJ
cord-348010-m3a3utvz	9	5	,	,	,
cord-348010-m3a3utvz	9	6	virological	virological	JJ
cord-348010-m3a3utvz	9	7	,	,	,
cord-348010-m3a3utvz	9	8	economic	economic	JJ
cord-348010-m3a3utvz	9	9	,	,	,
cord-348010-m3a3utvz	9	10	sociological	sociological	JJ
cord-348010-m3a3utvz	9	11	and	and	CC
cord-348010-m3a3utvz	9	12	further	further	JJ
cord-348010-m3a3utvz	9	13	aspects	aspect	NNS
cord-348010-m3a3utvz	9	14	as	as	RB
cord-348010-m3a3utvz	9	15	well	well	RB
cord-348010-m3a3utvz	9	16	as	as	IN
cord-348010-m3a3utvz	9	17	under	under	IN
cord-348010-m3a3utvz	9	18	mathematical	mathematical	JJ
cord-348010-m3a3utvz	9	19	points	point	NNS
cord-348010-m3a3utvz	9	20	of	of	IN
cord-348010-m3a3utvz	9	21	view	view	NN
cord-348010-m3a3utvz	9	22	.	.	.
cord-348010-m3a3utvz	10	1	Concerning	concern	VBG
cord-348010-m3a3utvz	10	2	the	the	DT
cord-348010-m3a3utvz	10	3	last‐mentioned	last‐mentioned	JJ
cord-348010-m3a3utvz	10	4	point	point	NN
cord-348010-m3a3utvz	10	5	,	,	,
cord-348010-m3a3utvz	10	6	the	the	DT
cord-348010-m3a3utvz	10	7	main	main	JJ
cord-348010-m3a3utvz	10	8	focus	focus	NN
cord-348010-m3a3utvz	10	9	lies	lie	VBZ
cord-348010-m3a3utvz	10	10	on	on	IN
cord-348010-m3a3utvz	10	11	the	the	DT
cord-348010-m3a3utvz	10	12	application	application	NN
cord-348010-m3a3utvz	10	13	of	of	IN
cord-348010-m3a3utvz	10	14	existing	exist	VBG
cord-348010-m3a3utvz	10	15	models	model	NNS
cord-348010-m3a3utvz	10	16	and	and	CC
cord-348010-m3a3utvz	10	17	their	-PRON-	PRP$
cord-348010-m3a3utvz	10	18	adaptation	adaptation	NN
cord-348010-m3a3utvz	10	19	to	to	IN
cord-348010-m3a3utvz	10	20	data	datum	NNS
cord-348010-m3a3utvz	10	21	about	about	IN
cord-348010-m3a3utvz	10	22	the	the	DT
cord-348010-m3a3utvz	10	23	course	course	NN
cord-348010-m3a3utvz	10	24	of	of	IN
cord-348010-m3a3utvz	10	25	infection	infection	NN
cord-348010-m3a3utvz	10	26	available	available	JJ
cord-348010-m3a3utvz	10	27	at	at	IN
cord-348010-m3a3utvz	10	28	the	the	DT
cord-348010-m3a3utvz	10	29	current	current	JJ
cord-348010-m3a3utvz	10	30	time	time	NN
cord-348010-m3a3utvz	10	31	.	.	.
cord-348010-m3a3utvz	11	1	Clearly	clearly	RB
cord-348010-m3a3utvz	11	2	,	,	,
cord-348010-m3a3utvz	11	3	the	the	DT
cord-348010-m3a3utvz	11	4	aim	aim	NN
cord-348010-m3a3utvz	11	5	is	be	VBZ
cord-348010-m3a3utvz	11	6	to	to	TO
cord-348010-m3a3utvz	11	7	predict	predict	VB
cord-348010-m3a3utvz	11	8	the	the	DT
cord-348010-m3a3utvz	11	9	possible	possible	JJ
cord-348010-m3a3utvz	11	10	further	further	JJ
cord-348010-m3a3utvz	11	11	development	development	NN
cord-348010-m3a3utvz	11	12	,	,	,
cord-348010-m3a3utvz	11	13	for	for	IN
cord-348010-m3a3utvz	11	14	instance	instance	NN
cord-348010-m3a3utvz	11	15	in	in	IN
cord-348010-m3a3utvz	11	16	Germany	Germany	NNP
cord-348010-m3a3utvz	11	17	.	.	.
cord-348010-m3a3utvz	12	1	It	-PRON-	PRP
cord-348010-m3a3utvz	12	2	is	be	VBZ
cord-348010-m3a3utvz	12	3	of	of	IN
cord-348010-m3a3utvz	12	4	particular	particular	JJ
cord-348010-m3a3utvz	12	5	interest	interest	NN
cord-348010-m3a3utvz	12	6	to	to	TO
cord-348010-m3a3utvz	12	7	investigate	investigate	VB
cord-348010-m3a3utvz	12	8	how	how	WRB
cord-348010-m3a3utvz	12	9	will	will	MD
cord-348010-m3a3utvz	12	10	be	be	VB
cord-348010-m3a3utvz	12	11	the	the	DT
cord-348010-m3a3utvz	12	12	influence	influence	NN
cord-348010-m3a3utvz	12	13	of	of	IN
cord-348010-m3a3utvz	12	14	political	political	JJ
cord-348010-m3a3utvz	12	15	and	and	CC
cord-348010-m3a3utvz	12	16	administrative	administrative	JJ
cord-348010-m3a3utvz	12	17	measures	measure	NNS
cord-348010-m3a3utvz	12	18	like	like	IN
cord-348010-m3a3utvz	12	19	contact	contact	NN
cord-348010-m3a3utvz	12	20	restrictions	restriction	NNS
cord-348010-m3a3utvz	12	21	,	,	,
cord-348010-m3a3utvz	12	22	closing	close	VBG
cord-348010-m3a3utvz	12	23	or	or	CC
cord-348010-m3a3utvz	12	24	rather	rather	RB
cord-348010-m3a3utvz	12	25	re‐opening	re‐opening	NNP
cord-348010-m3a3utvz	12	26	of	of	IN
cord-348010-m3a3utvz	12	27	schools	school	NNS
cord-348010-m3a3utvz	12	28	,	,	,
cord-348010-m3a3utvz	12	29	restaurants	restaurant	NNS
cord-348010-m3a3utvz	12	30	,	,	,
cord-348010-m3a3utvz	12	31	hotels	hotel	NNS
cord-348010-m3a3utvz	12	32	etc	etc	FW
cord-348010-m3a3utvz	12	33	.	.	.
cord-348010-m3a3utvz	13	1	on	on	IN
cord-348010-m3a3utvz	13	2	the	the	DT
cord-348010-m3a3utvz	13	3	course	course	NN
cord-348010-m3a3utvz	13	4	of	of	IN
cord-348010-m3a3utvz	13	5	infection	infection	NN
cord-348010-m3a3utvz	13	6	.	.	.
cord-348010-m3a3utvz	14	1	The	the	DT
cord-348010-m3a3utvz	14	2	steps	step	NNS
cord-348010-m3a3utvz	14	3	considered	consider	VBN
cord-348010-m3a3utvz	14	4	here	here	RB
cord-348010-m3a3utvz	14	5	for	for	IN
cord-348010-m3a3utvz	14	6	building	build	VBG
cord-348010-m3a3utvz	14	7	up	up	RP
cord-348010-m3a3utvz	14	8	suitable	suitable	JJ
cord-348010-m3a3utvz	14	9	models	model	NNS
cord-348010-m3a3utvz	14	10	are	be	VBP
cord-348010-m3a3utvz	14	11	well‐known	well‐known	JJ
cord-348010-m3a3utvz	14	12	for	for	IN
cord-348010-m3a3utvz	14	13	long	long	JJ
cord-348010-m3a3utvz	14	14	time	time	NN
cord-348010-m3a3utvz	14	15	.	.	.
cord-348010-m3a3utvz	15	1	However	however	RB
cord-348010-m3a3utvz	15	2	,	,	,
cord-348010-m3a3utvz	15	3	understandably	understandably	RB
cord-348010-m3a3utvz	15	4	they	-PRON-	PRP
cord-348010-m3a3utvz	15	5	will	will	MD
cord-348010-m3a3utvz	15	6	not	not	RB
cord-348010-m3a3utvz	15	7	be	be	VB
cord-348010-m3a3utvz	15	8	dealt	deal	VBN
cord-348010-m3a3utvz	15	9	with	with	IN
cord-348010-m3a3utvz	15	10	in	in	IN
cord-348010-m3a3utvz	15	11	an	an	DT
cord-348010-m3a3utvz	15	12	extended	extended	JJ
cord-348010-m3a3utvz	15	13	way	way	NN
cord-348010-m3a3utvz	15	14	in	in	IN
cord-348010-m3a3utvz	15	15	current	current	JJ
cord-348010-m3a3utvz	15	16	application‐oriented	application‐oriented	JJ
cord-348010-m3a3utvz	15	17	works	work	NNS
cord-348010-m3a3utvz	15	18	.	.	.
cord-348010-m3a3utvz	16	1	Therefore	therefore	RB
cord-348010-m3a3utvz	16	2	,	,	,
cord-348010-m3a3utvz	16	3	it	-PRON-	PRP
cord-348010-m3a3utvz	16	4	is	be	VBZ
cord-348010-m3a3utvz	16	5	the	the	DT
cord-348010-m3a3utvz	16	6	aim	aim	NN
cord-348010-m3a3utvz	16	7	of	of	IN
cord-348010-m3a3utvz	16	8	this	this	DT
cord-348010-m3a3utvz	16	9	study	study	NN
cord-348010-m3a3utvz	16	10	to	to	TO
cord-348010-m3a3utvz	16	11	present	present	VB
cord-348010-m3a3utvz	16	12	some	some	DT
cord-348010-m3a3utvz	16	13	existing	exist	VBG
cord-348010-m3a3utvz	16	14	steps	step	NNS
cord-348010-m3a3utvz	16	15	of	of	IN
cord-348010-m3a3utvz	16	16	modelling	model	VBG
cord-348010-m3a3utvz	16	17	without	without	IN
cord-348010-m3a3utvz	16	18	any	any	DT
cord-348010-m3a3utvz	16	19	pretension	pretension	NN
cord-348010-m3a3utvz	16	20	of	of	IN
cord-348010-m3a3utvz	16	21	completeness	completeness	NN
cord-348010-m3a3utvz	16	22	.	.	.
cord-348010-m3a3utvz	17	1	Thus	thus	RB
cord-348010-m3a3utvz	17	2	,	,	,
cord-348010-m3a3utvz	17	3	on	on	IN
cord-348010-m3a3utvz	17	4	the	the	DT
cord-348010-m3a3utvz	17	5	one	one	CD
cord-348010-m3a3utvz	17	6	hand	hand	NN
cord-348010-m3a3utvz	17	7	we	-PRON-	PRP
cord-348010-m3a3utvz	17	8	give	give	VBP
cord-348010-m3a3utvz	17	9	assistance	assistance	NN
cord-348010-m3a3utvz	17	10	and	and	CC
cord-348010-m3a3utvz	17	11	,	,	,
cord-348010-m3a3utvz	17	12	on	on	IN
cord-348010-m3a3utvz	17	13	the	the	DT
cord-348010-m3a3utvz	17	14	other	other	JJ
cord-348010-m3a3utvz	17	15	hand	hand	NN
cord-348010-m3a3utvz	17	16	,	,	,
cord-348010-m3a3utvz	17	17	we	-PRON-	PRP
cord-348010-m3a3utvz	17	18	develop	develop	VBP
cord-348010-m3a3utvz	17	19	a	a	DT
cord-348010-m3a3utvz	17	20	model	model	NN
cord-348010-m3a3utvz	17	21	capable	capable	JJ
cord-348010-m3a3utvz	17	22	to	to	TO
cord-348010-m3a3utvz	17	23	take	take	VB
cord-348010-m3a3utvz	17	24	already	already	RB
cord-348010-m3a3utvz	17	25	known	know	VBN
cord-348010-m3a3utvz	17	26	properties	property	NNS
cord-348010-m3a3utvz	17	27	of	of	IN
cord-348010-m3a3utvz	17	28	COVID‐19	COVID‐19	NNP
cord-348010-m3a3utvz	17	29	as	as	RB
cord-348010-m3a3utvz	17	30	well	well	RB
cord-348010-m3a3utvz	17	31	as	as	IN
cord-348010-m3a3utvz	17	32	a	a	DT
cord-348010-m3a3utvz	17	33	later	later	JJ
cord-348010-m3a3utvz	17	34	possible	possible	JJ
cord-348010-m3a3utvz	17	35	passive	passive	JJ
cord-348010-m3a3utvz	17	36	immunisation	immunisation	NN
cord-348010-m3a3utvz	17	37	by	by	IN
cord-348010-m3a3utvz	17	38	vaccination	vaccination	NN
cord-348010-m3a3utvz	17	39	and	and	CC
cord-348010-m3a3utvz	17	40	a	a	DT
cord-348010-m3a3utvz	17	41	possible	possible	JJ
cord-348010-m3a3utvz	17	42	loss	loss	NN
cord-348010-m3a3utvz	17	43	of	of	IN
cord-348010-m3a3utvz	17	44	immunity	immunity	NN
cord-348010-m3a3utvz	17	45	of	of	IN
cord-348010-m3a3utvz	17	46	recovered	recover	VBN
cord-348010-m3a3utvz	17	47	persons	person	NNS
cord-348010-m3a3utvz	17	48	into	into	IN
cord-348010-m3a3utvz	17	49	account	account	NN
cord-348010-m3a3utvz	17	50	.	.	.
cord-348010-m3a3utvz	18	1	The	the	DT
cord-348010-m3a3utvz	18	2	present	present	JJ
cord-348010-m3a3utvz	18	3	study	study	NN
cord-348010-m3a3utvz	18	4	investigates	investigate	VBZ
cord-348010-m3a3utvz	18	5	essential	essential	JJ
cord-348010-m3a3utvz	18	6	steps	step	NNS
cord-348010-m3a3utvz	18	7	in	in	IN
cord-348010-m3a3utvz	18	8	build	build	NN
cord-348010-m3a3utvz	18	9	-	-	HYPH
cord-348010-m3a3utvz	18	10	up	up	NN
cord-348010-m3a3utvz	18	11	of	of	IN
cord-348010-m3a3utvz	18	12	models	model	NNS
cord-348010-m3a3utvz	18	13	for	for	IN
cord-348010-m3a3utvz	18	14	description	description	NN
cord-348010-m3a3utvz	18	15	of	of	IN
cord-348010-m3a3utvz	18	16	the	the	DT
cord-348010-m3a3utvz	18	17	spread	spread	NN
cord-348010-m3a3utvz	18	18	of	of	IN
cord-348010-m3a3utvz	18	19	infectious	infectious	JJ
cord-348010-m3a3utvz	18	20	diseases	disease	NNS
cord-348010-m3a3utvz	18	21	.	.	.
cord-348010-m3a3utvz	19	1	Combining	combine	VBG
cord-348010-m3a3utvz	19	2	these	these	DT
cord-348010-m3a3utvz	19	3	modules	module	NNS
cord-348010-m3a3utvz	19	4	,	,	,
cord-348010-m3a3utvz	19	5	a	a	DT
cord-348010-m3a3utvz	19	6	SEI	SEI	NNP
cord-348010-m3a3utvz	19	7	3	3	CD
cord-348010-m3a3utvz	19	8	RSD	RSD	NNP
cord-348010-m3a3utvz	19	9	model	model	NN
cord-348010-m3a3utvz	19	10	will	will	MD
cord-348010-m3a3utvz	19	11	be	be	VB
cord-348010-m3a3utvz	19	12	developed	develop	VBN
cord-348010-m3a3utvz	19	13	,	,	,
cord-348010-m3a3utvz	19	14	which	which	WDT
cord-348010-m3a3utvz	19	15	can	can	MD
cord-348010-m3a3utvz	19	16	take	take	VB
cord-348010-m3a3utvz	19	17	into	into	IN
cord-348010-m3a3utvz	19	18	account	account	NN
cord-348010-m3a3utvz	19	19	a	a	DT
cord-348010-m3a3utvz	19	20	possible	possible	JJ
cord-348010-m3a3utvz	19	21	passive	passive	JJ
cord-348010-m3a3utvz	19	22	immunisation	immunisation	NN
cord-348010-m3a3utvz	19	23	by	by	IN
cord-348010-m3a3utvz	19	24	vaccination	vaccination	NN
cord-348010-m3a3utvz	19	25	as	as	RB
cord-348010-m3a3utvz	19	26	well	well	RB
cord-348010-m3a3utvz	19	27	as	as	IN
cord-348010-m3a3utvz	19	28	different	different	JJ
cord-348010-m3a3utvz	19	29	durations	duration	NNS
cord-348010-m3a3utvz	19	30	of	of	IN
cord-348010-m3a3utvz	19	31	latent	latent	JJ
cord-348010-m3a3utvz	19	32	and	and	CC
cord-348010-m3a3utvz	19	33	incubation	incubation	NN
cord-348010-m3a3utvz	19	34	periods	period	NNS
cord-348010-m3a3utvz	19	35	.	.	.
cord-348010-m3a3utvz	20	1	Besides	besides	RB
cord-348010-m3a3utvz	20	2	,	,	,
cord-348010-m3a3utvz	20	3	infectious	infectious	JJ
cord-348010-m3a3utvz	20	4	persons	person	NNS
cord-348010-m3a3utvz	20	5	with	with	IN
cord-348010-m3a3utvz	20	6	and	and	CC
cord-348010-m3a3utvz	20	7	without	without	IN
cord-348010-m3a3utvz	20	8	symptoms	symptom	NNS
cord-348010-m3a3utvz	20	9	can	can	MD
cord-348010-m3a3utvz	20	10	be	be	VB
cord-348010-m3a3utvz	20	11	distinguished	distinguish	VBN
cord-348010-m3a3utvz	20	12	.	.	.
cord-348010-m3a3utvz	21	1	Due	due	IN
cord-348010-m3a3utvz	21	2	to	to	IN
cord-348010-m3a3utvz	21	3	the	the	DT
cord-348010-m3a3utvz	21	4	current	current	JJ
cord-348010-m3a3utvz	21	5	world	world	NN
cord-348010-m3a3utvz	21	6	-	-	HYPH
cord-348010-m3a3utvz	21	7	wide	wide	JJ
cord-348010-m3a3utvz	21	8	SARS	SARS	NNP
cord-348010-m3a3utvz	21	9	-	-	HYPH
cord-348010-m3a3utvz	21	10	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	21	11	pandemic	pandemic	NN
cord-348010-m3a3utvz	21	12	(	(	-LRB-
cord-348010-m3a3utvz	21	13	COVID-19	covid-19	JJ
cord-348010-m3a3utvz	21	14	pandemic	pandemic	NN
cord-348010-m3a3utvz	21	15	)	)	-RRB-
cord-348010-m3a3utvz	21	16	models	model	NNS
cord-348010-m3a3utvz	21	17	for	for	IN
cord-348010-m3a3utvz	21	18	description	description	NN
cord-348010-m3a3utvz	21	19	of	of	IN
cord-348010-m3a3utvz	21	20	the	the	DT
cord-348010-m3a3utvz	21	21	spread	spread	NN
cord-348010-m3a3utvz	21	22	of	of	IN
cord-348010-m3a3utvz	21	23	infectious	infectious	JJ
cord-348010-m3a3utvz	21	24	diseases	disease	NNS
cord-348010-m3a3utvz	21	25	and	and	CC
cord-348010-m3a3utvz	21	26	their	-PRON-	PRP$
cord-348010-m3a3utvz	21	27	application	application	NN
cord-348010-m3a3utvz	21	28	for	for	IN
cord-348010-m3a3utvz	21	29	forecasts	forecast	NNS
cord-348010-m3a3utvz	21	30	have	have	VBP
cord-348010-m3a3utvz	21	31	become	become	VBN
cord-348010-m3a3utvz	21	32	into	into	IN
cord-348010-m3a3utvz	21	33	the	the	DT
cord-348010-m3a3utvz	21	34	focus	focus	NN
cord-348010-m3a3utvz	21	35	of	of	IN
cord-348010-m3a3utvz	21	36	the	the	DT
cord-348010-m3a3utvz	21	37	scientific	scientific	JJ
cord-348010-m3a3utvz	21	38	community	community	NN
cord-348010-m3a3utvz	21	39	as	as	RB
cord-348010-m3a3utvz	21	40	well	well	RB
cord-348010-m3a3utvz	21	41	as	as	IN
cord-348010-m3a3utvz	21	42	of	of	IN
cord-348010-m3a3utvz	21	43	broad	broad	JJ
cord-348010-m3a3utvz	21	44	public	public	NN
cord-348010-m3a3utvz	21	45	more	more	RBR
cord-348010-m3a3utvz	21	46	than	than	IN
cord-348010-m3a3utvz	21	47	usual	usual	JJ
cord-348010-m3a3utvz	21	48	.	.	.
cord-348010-m3a3utvz	22	1	Currently	currently	RB
cord-348010-m3a3utvz	22	2	,	,	,
cord-348010-m3a3utvz	22	3	many	many	JJ
cord-348010-m3a3utvz	22	4	papers	paper	NNS
cord-348010-m3a3utvz	22	5	and	and	CC
cord-348010-m3a3utvz	22	6	studies	study	NNS
cord-348010-m3a3utvz	22	7	have	have	VBP
cord-348010-m3a3utvz	22	8	appeared	appear	VBN
cord-348010-m3a3utvz	22	9	and	and	CC
cord-348010-m3a3utvz	22	10	appear	appear	VB
cord-348010-m3a3utvz	22	11	dealing	deal	VBG
cord-348010-m3a3utvz	22	12	with	with	IN
cord-348010-m3a3utvz	22	13	the	the	DT
cord-348010-m3a3utvz	22	14	virus	virus	NN
cord-348010-m3a3utvz	22	15	SARS	SARS	NNP
cord-348010-m3a3utvz	22	16	-	-	HYPH
cord-348010-m3a3utvz	22	17	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	22	18	and	and	CC
cord-348010-m3a3utvz	22	19	the	the	DT
cord-348010-m3a3utvz	22	20	COVID-19	COVID-19	NNP
cord-348010-m3a3utvz	22	21	disease	disease	NN
cord-348010-m3a3utvz	22	22	caused	cause	VBN
cord-348010-m3a3utvz	22	23	by	by	IN
cord-348010-m3a3utvz	22	24	it	-PRON-	PRP
cord-348010-m3a3utvz	22	25	.	.	.
cord-348010-m3a3utvz	23	1	This	this	DT
cord-348010-m3a3utvz	23	2	occurs	occur	VBZ
cord-348010-m3a3utvz	23	3	under	under	IN
cord-348010-m3a3utvz	23	4	medical	medical	JJ
cord-348010-m3a3utvz	23	5	,	,	,
cord-348010-m3a3utvz	23	6	virological	virological	JJ
cord-348010-m3a3utvz	23	7	,	,	,
cord-348010-m3a3utvz	23	8	economic	economic	JJ
cord-348010-m3a3utvz	23	9	,	,	,
cord-348010-m3a3utvz	23	10	sociological	sociological	JJ
cord-348010-m3a3utvz	23	11	and	and	CC
cord-348010-m3a3utvz	23	12	further	further	JJ
cord-348010-m3a3utvz	23	13	aspects	aspect	NNS
cord-348010-m3a3utvz	23	14	as	as	RB
cord-348010-m3a3utvz	23	15	well	well	RB
cord-348010-m3a3utvz	23	16	as	as	IN
cord-348010-m3a3utvz	23	17	under	under	IN
cord-348010-m3a3utvz	23	18	mathematical	mathematical	JJ
cord-348010-m3a3utvz	23	19	points	point	NNS
cord-348010-m3a3utvz	23	20	of	of	IN
cord-348010-m3a3utvz	23	21	view	view	NN
cord-348010-m3a3utvz	23	22	.	.	.
cord-348010-m3a3utvz	24	1	Concerning	concern	VBG
cord-348010-m3a3utvz	24	2	the	the	DT
cord-348010-m3a3utvz	24	3	last	last	RB
cord-348010-m3a3utvz	24	4	-	-	HYPH
cord-348010-m3a3utvz	24	5	mentioned	mention	VBN
cord-348010-m3a3utvz	24	6	point	point	NN
cord-348010-m3a3utvz	24	7	,	,	,
cord-348010-m3a3utvz	24	8	the	the	DT
cord-348010-m3a3utvz	24	9	main	main	JJ
cord-348010-m3a3utvz	24	10	focus	focus	NN
cord-348010-m3a3utvz	24	11	lies	lie	VBZ
cord-348010-m3a3utvz	24	12	on	on	IN
cord-348010-m3a3utvz	24	13	the	the	DT
cord-348010-m3a3utvz	24	14	application	application	NN
cord-348010-m3a3utvz	24	15	of	of	IN
cord-348010-m3a3utvz	24	16	existing	exist	VBG
cord-348010-m3a3utvz	24	17	models	model	NNS
cord-348010-m3a3utvz	24	18	and	and	CC
cord-348010-m3a3utvz	24	19	their	-PRON-	PRP$
cord-348010-m3a3utvz	24	20	adaptation	adaptation	NN
cord-348010-m3a3utvz	24	21	to	to	IN
cord-348010-m3a3utvz	24	22	data	datum	NNS
cord-348010-m3a3utvz	24	23	about	about	IN
cord-348010-m3a3utvz	24	24	the	the	DT
cord-348010-m3a3utvz	24	25	course	course	NN
cord-348010-m3a3utvz	24	26	of	of	IN
cord-348010-m3a3utvz	24	27	infection	infection	NN
cord-348010-m3a3utvz	24	28	available	available	JJ
cord-348010-m3a3utvz	24	29	at	at	IN
cord-348010-m3a3utvz	24	30	the	the	DT
cord-348010-m3a3utvz	24	31	current	current	JJ
cord-348010-m3a3utvz	24	32	time	time	NN
cord-348010-m3a3utvz	24	33	.	.	.
cord-348010-m3a3utvz	25	1	Clearly	clearly	RB
cord-348010-m3a3utvz	25	2	,	,	,
cord-348010-m3a3utvz	25	3	the	the	DT
cord-348010-m3a3utvz	25	4	aim	aim	NN
cord-348010-m3a3utvz	25	5	is	be	VBZ
cord-348010-m3a3utvz	25	6	to	to	TO
cord-348010-m3a3utvz	25	7	predict	predict	VB
cord-348010-m3a3utvz	25	8	the	the	DT
cord-348010-m3a3utvz	25	9	possible	possible	JJ
cord-348010-m3a3utvz	25	10	further	further	JJ
cord-348010-m3a3utvz	25	11	development	development	NN
cord-348010-m3a3utvz	25	12	,	,	,
cord-348010-m3a3utvz	25	13	for	for	IN
cord-348010-m3a3utvz	25	14	instance	instance	NN
cord-348010-m3a3utvz	25	15	in	in	IN
cord-348010-m3a3utvz	25	16	Germany	Germany	NNP
cord-348010-m3a3utvz	25	17	.	.	.
cord-348010-m3a3utvz	26	1	It	-PRON-	PRP
cord-348010-m3a3utvz	26	2	is	be	VBZ
cord-348010-m3a3utvz	26	3	of	of	IN
cord-348010-m3a3utvz	26	4	particular	particular	JJ
cord-348010-m3a3utvz	26	5	interest	interest	NN
cord-348010-m3a3utvz	26	6	to	to	TO
cord-348010-m3a3utvz	26	7	investigate	investigate	VB
cord-348010-m3a3utvz	26	8	how	how	WRB
cord-348010-m3a3utvz	26	9	will	will	MD
cord-348010-m3a3utvz	26	10	be	be	VB
cord-348010-m3a3utvz	26	11	the	the	DT
cord-348010-m3a3utvz	26	12	influence	influence	NN
cord-348010-m3a3utvz	26	13	of	of	IN
cord-348010-m3a3utvz	26	14	political	political	JJ
cord-348010-m3a3utvz	26	15	and	and	CC
cord-348010-m3a3utvz	26	16	administrative	administrative	JJ
cord-348010-m3a3utvz	26	17	measures	measure	NNS
cord-348010-m3a3utvz	26	18	like	like	IN
cord-348010-m3a3utvz	26	19	contact	contact	NN
cord-348010-m3a3utvz	26	20	restrictions	restriction	NNS
cord-348010-m3a3utvz	26	21	,	,	,
cord-348010-m3a3utvz	26	22	closing	close	VBG
cord-348010-m3a3utvz	26	23	or	or	CC
cord-348010-m3a3utvz	26	24	rather	rather	RB
cord-348010-m3a3utvz	26	25	re	re	NN
cord-348010-m3a3utvz	26	26	-	-	NN
cord-348010-m3a3utvz	26	27	opening	opening	NN
cord-348010-m3a3utvz	26	28	of	of	IN
cord-348010-m3a3utvz	26	29	schools	school	NNS
cord-348010-m3a3utvz	26	30	,	,	,
cord-348010-m3a3utvz	26	31	restaurants	restaurant	NNS
cord-348010-m3a3utvz	26	32	,	,	,
cord-348010-m3a3utvz	26	33	hotels	hotel	NNS
cord-348010-m3a3utvz	26	34	etc	etc	FW
cord-348010-m3a3utvz	26	35	.	.	.
cord-348010-m3a3utvz	27	1	on	on	IN
cord-348010-m3a3utvz	27	2	the	the	DT
cord-348010-m3a3utvz	27	3	course	course	NN
cord-348010-m3a3utvz	27	4	of	of	IN
cord-348010-m3a3utvz	27	5	infection	infection	NN
cord-348010-m3a3utvz	27	6	.	.	.
cord-348010-m3a3utvz	28	1	The	the	DT
cord-348010-m3a3utvz	28	2	steps	step	NNS
cord-348010-m3a3utvz	28	3	considered	consider	VBN
cord-348010-m3a3utvz	28	4	here	here	RB
cord-348010-m3a3utvz	28	5	for	for	IN
cord-348010-m3a3utvz	28	6	building	build	VBG
cord-348010-m3a3utvz	28	7	up	up	RP
cord-348010-m3a3utvz	28	8	suitable	suitable	JJ
cord-348010-m3a3utvz	28	9	models	model	NNS
cord-348010-m3a3utvz	28	10	are	be	VBP
cord-348010-m3a3utvz	28	11	well	well	RB
cord-348010-m3a3utvz	28	12	-	-	HYPH
cord-348010-m3a3utvz	28	13	known	know	VBN
cord-348010-m3a3utvz	28	14	for	for	IN
cord-348010-m3a3utvz	28	15	long	long	JJ
cord-348010-m3a3utvz	28	16	time	time	NN
cord-348010-m3a3utvz	28	17	.	.	.
cord-348010-m3a3utvz	29	1	However	however	RB
cord-348010-m3a3utvz	29	2	,	,	,
cord-348010-m3a3utvz	29	3	understandably	understandably	RB
cord-348010-m3a3utvz	29	4	they	-PRON-	PRP
cord-348010-m3a3utvz	29	5	will	will	MD
cord-348010-m3a3utvz	29	6	not	not	RB
cord-348010-m3a3utvz	29	7	be	be	VB
cord-348010-m3a3utvz	29	8	dealt	deal	VBN
cord-348010-m3a3utvz	29	9	with	with	IN
cord-348010-m3a3utvz	29	10	in	in	IN
cord-348010-m3a3utvz	29	11	an	an	DT
cord-348010-m3a3utvz	29	12	extended	extended	JJ
cord-348010-m3a3utvz	29	13	way	way	NN
cord-348010-m3a3utvz	29	14	in	in	IN
cord-348010-m3a3utvz	29	15	current	current	JJ
cord-348010-m3a3utvz	29	16	application	application	NN
cord-348010-m3a3utvz	29	17	-	-	HYPH
cord-348010-m3a3utvz	29	18	oriented	orient	VBN
cord-348010-m3a3utvz	29	19	works	work	NNS
cord-348010-m3a3utvz	29	20	.	.	.
cord-348010-m3a3utvz	30	1	Therefore	therefore	RB
cord-348010-m3a3utvz	30	2	,	,	,
cord-348010-m3a3utvz	30	3	it	-PRON-	PRP
cord-348010-m3a3utvz	30	4	is	be	VBZ
cord-348010-m3a3utvz	30	5	the	the	DT
cord-348010-m3a3utvz	30	6	aim	aim	NN
cord-348010-m3a3utvz	30	7	of	of	IN
cord-348010-m3a3utvz	30	8	this	this	DT
cord-348010-m3a3utvz	30	9	study	study	NN
cord-348010-m3a3utvz	30	10	to	to	TO
cord-348010-m3a3utvz	30	11	present	present	VB
cord-348010-m3a3utvz	30	12	some	some	DT
cord-348010-m3a3utvz	30	13	existing	exist	VBG
cord-348010-m3a3utvz	30	14	steps	step	NNS
cord-348010-m3a3utvz	30	15	of	of	IN
cord-348010-m3a3utvz	30	16	modelling	model	VBG
cord-348010-m3a3utvz	30	17	without	without	IN
cord-348010-m3a3utvz	30	18	any	any	DT
cord-348010-m3a3utvz	30	19	pretension	pretension	NN
cord-348010-m3a3utvz	30	20	of	of	IN
cord-348010-m3a3utvz	30	21	completeness	completeness	NN
cord-348010-m3a3utvz	30	22	.	.	.
cord-348010-m3a3utvz	31	1	Thus	thus	RB
cord-348010-m3a3utvz	31	2	,	,	,
cord-348010-m3a3utvz	31	3	on	on	IN
cord-348010-m3a3utvz	31	4	the	the	DT
cord-348010-m3a3utvz	31	5	one	one	CD
cord-348010-m3a3utvz	31	6	hand	hand	NN
cord-348010-m3a3utvz	31	7	we	-PRON-	PRP
cord-348010-m3a3utvz	31	8	give	give	VBP
cord-348010-m3a3utvz	31	9	assistance	assistance	NN
cord-348010-m3a3utvz	31	10	and	and	CC
cord-348010-m3a3utvz	31	11	,	,	,
cord-348010-m3a3utvz	31	12	on	on	IN
cord-348010-m3a3utvz	31	13	the	the	DT
cord-348010-m3a3utvz	31	14	other	other	JJ
cord-348010-m3a3utvz	31	15	hand	hand	NN
cord-348010-m3a3utvz	31	16	,	,	,
cord-348010-m3a3utvz	31	17	we	-PRON-	PRP
cord-348010-m3a3utvz	31	18	develop	develop	VBP
cord-348010-m3a3utvz	31	19	a	a	DT
cord-348010-m3a3utvz	31	20	model	model	NN
cord-348010-m3a3utvz	31	21	capable	capable	JJ
cord-348010-m3a3utvz	31	22	to	to	TO
cord-348010-m3a3utvz	31	23	take	take	VB
cord-348010-m3a3utvz	31	24	already	already	RB
cord-348010-m3a3utvz	31	25	known	know	VBN
cord-348010-m3a3utvz	31	26	properties	property	NNS
cord-348010-m3a3utvz	31	27	of	of	IN
cord-348010-m3a3utvz	31	28	COVID-19	COVID-19	NNP
cord-348010-m3a3utvz	31	29	as	as	RB
cord-348010-m3a3utvz	31	30	well	well	RB
cord-348010-m3a3utvz	31	31	as	as	IN
cord-348010-m3a3utvz	31	32	a	a	DT
cord-348010-m3a3utvz	31	33	later	later	JJ
cord-348010-m3a3utvz	31	34	possible	possible	JJ
cord-348010-m3a3utvz	31	35	passive	passive	JJ
cord-348010-m3a3utvz	31	36	immunisation	immunisation	NN
cord-348010-m3a3utvz	31	37	by	by	IN
cord-348010-m3a3utvz	31	38	vaccination	vaccination	NN
cord-348010-m3a3utvz	31	39	and	and	CC
cord-348010-m3a3utvz	31	40	a	a	DT
cord-348010-m3a3utvz	31	41	possible	possible	JJ
cord-348010-m3a3utvz	31	42	loss	loss	NN
cord-348010-m3a3utvz	31	43	of	of	IN
cord-348010-m3a3utvz	31	44	immunity	immunity	NN
cord-348010-m3a3utvz	31	45	of	of	IN
cord-348010-m3a3utvz	31	46	recovered	recover	VBN
cord-348010-m3a3utvz	31	47	persons	person	NNS
cord-348010-m3a3utvz	31	48	into	into	IN
cord-348010-m3a3utvz	31	49	account	account	NN
cord-348010-m3a3utvz	31	50	.	.	.
cord-348010-m3a3utvz	32	1	INTRODUCTION	INTRODUCTION	NNP
cord-348010-m3a3utvz	33	1	At	at	IN
cord-348010-m3a3utvz	33	2	first	first	RB
cord-348010-m3a3utvz	33	3	,	,	,
cord-348010-m3a3utvz	33	4	in	in	IN
cord-348010-m3a3utvz	33	5	December	December	NNP
cord-348010-m3a3utvz	33	6	2019	2019	CD
cord-348010-m3a3utvz	33	7	several	several	JJ
cord-348010-m3a3utvz	33	8	cases	case	NNS
cord-348010-m3a3utvz	33	9	of	of	IN
cord-348010-m3a3utvz	33	10	a	a	DT
cord-348010-m3a3utvz	33	11	serious	serious	JJ
cord-348010-m3a3utvz	33	12	lung	lung	NN
cord-348010-m3a3utvz	33	13	disease	disease	NN
cord-348010-m3a3utvz	33	14	occurred	occur	VBD
cord-348010-m3a3utvz	33	15	in	in	IN
cord-348010-m3a3utvz	33	16	the	the	DT
cord-348010-m3a3utvz	33	17	Chinese	chinese	JJ
cord-348010-m3a3utvz	33	18	city	city	NN
cord-348010-m3a3utvz	33	19	Wuhan	Wuhan	NNP
cord-348010-m3a3utvz	33	20	.	.	.
cord-348010-m3a3utvz	34	1	Shortly	shortly	RB
cord-348010-m3a3utvz	34	2	after	after	RB
cord-348010-m3a3utvz	34	3	,	,	,
cord-348010-m3a3utvz	34	4	a	a	DT
cord-348010-m3a3utvz	34	5	new	new	JJ
cord-348010-m3a3utvz	34	6	virus	virus	NN
cord-348010-m3a3utvz	34	7	of	of	IN
cord-348010-m3a3utvz	34	8	the	the	DT
cord-348010-m3a3utvz	34	9	corona	corona	NN
cord-348010-m3a3utvz	34	10	family	family	NN
cord-348010-m3a3utvz	34	11	was	be	VBD
cord-348010-m3a3utvz	34	12	identified	identify	VBN
cord-348010-m3a3utvz	34	13	and	and	CC
cord-348010-m3a3utvz	34	14	its	-PRON-	PRP$
cord-348010-m3a3utvz	34	15	complete	complete	JJ
cord-348010-m3a3utvz	34	16	genome	genome	NN
cord-348010-m3a3utvz	34	17	sequence	sequence	NN
cord-348010-m3a3utvz	34	18	was	be	VBD
cord-348010-m3a3utvz	34	19	published	publish	VBN
cord-348010-m3a3utvz	34	20	,	,	,
cord-348010-m3a3utvz	34	21	see	see	VB
cord-348010-m3a3utvz	34	22	[	[	-LRB-
cord-348010-m3a3utvz	34	23	1	1	CD
cord-348010-m3a3utvz	34	24	]	]	-RRB-
cord-348010-m3a3utvz	34	25	,	,	.
cord-348010-m3a3utvz	35	1	e.g.	e.g.	RB
cord-348010-m3a3utvz	35	2	Afterwards	afterwards	RB
cord-348010-m3a3utvz	35	3	,	,	,
cord-348010-m3a3utvz	35	4	the	the	DT
cord-348010-m3a3utvz	35	5	virus	virus	NN
cord-348010-m3a3utvz	35	6	has	have	VBZ
cord-348010-m3a3utvz	35	7	spread	spread	VBN
cord-348010-m3a3utvz	35	8	in	in	IN
cord-348010-m3a3utvz	35	9	almost	almost	RB
cord-348010-m3a3utvz	35	10	all	all	DT
cord-348010-m3a3utvz	35	11	countries	country	NNS
cord-348010-m3a3utvz	35	12	.	.	.
cord-348010-m3a3utvz	36	1	On	on	IN
cord-348010-m3a3utvz	36	2	11	11	CD
cord-348010-m3a3utvz	36	3	March	March	NNP
cord-348010-m3a3utvz	36	4	2020	2020	CD
cord-348010-m3a3utvz	36	5	the	the	DT
cord-348010-m3a3utvz	36	6	WHO	who	WP
cord-348010-m3a3utvz	36	7	classified	classify	VBD
cord-348010-m3a3utvz	36	8	this	this	DT
cord-348010-m3a3utvz	36	9	new	new	JJ
cord-348010-m3a3utvz	36	10	disease	disease	NN
cord-348010-m3a3utvz	36	11	as	as	IN
cord-348010-m3a3utvz	36	12	pandemic	pandemic	NN
cord-348010-m3a3utvz	36	13	.	.	.
cord-348010-m3a3utvz	37	1	The	the	DT
cord-348010-m3a3utvz	37	2	virus	virus	NN
cord-348010-m3a3utvz	37	3	was	be	VBD
cord-348010-m3a3utvz	37	4	officially	officially	RB
cord-348010-m3a3utvz	37	5	nominated	nominate	VBN
cord-348010-m3a3utvz	37	6	as	as	IN
cord-348010-m3a3utvz	37	7	SARS	SARS	NNP
cord-348010-m3a3utvz	37	8	-	-	HYPH
cord-348010-m3a3utvz	37	9	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	37	10	,	,	,
cord-348010-m3a3utvz	37	11	the	the	DT
cord-348010-m3a3utvz	37	12	triggered	trigger	VBN
cord-348010-m3a3utvz	37	13	disease	disease	NN
cord-348010-m3a3utvz	37	14	as	as	IN
cord-348010-m3a3utvz	37	15	COVID-19	COVID-19	NNP
cord-348010-m3a3utvz	37	16	.	.	.
cord-348010-m3a3utvz	38	1	Meanwhile	meanwhile	RB
cord-348010-m3a3utvz	38	2	,	,	,
cord-348010-m3a3utvz	38	3	the	the	DT
cord-348010-m3a3utvz	38	4	SARS	SARS	NNP
cord-348010-m3a3utvz	38	5	-	-	HYPH
cord-348010-m3a3utvz	38	6	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	38	7	pandemic	pandemic	NN
cord-348010-m3a3utvz	38	8	has	have	VBZ
cord-348010-m3a3utvz	38	9	become	become	VBN
cord-348010-m3a3utvz	38	10	a	a	DT
cord-348010-m3a3utvz	38	11	serious	serious	JJ
cord-348010-m3a3utvz	38	12	challenge	challenge	NN
cord-348010-m3a3utvz	38	13	for	for	IN
cord-348010-m3a3utvz	38	14	the	the	DT
cord-348010-m3a3utvz	38	15	whole	whole	JJ
cord-348010-m3a3utvz	38	16	world	world	NN
cord-348010-m3a3utvz	38	17	,	,	,
cord-348010-m3a3utvz	38	18	its	-PRON-	PRP$
cord-348010-m3a3utvz	38	19	social	social	JJ
cord-348010-m3a3utvz	38	20	,	,	,
cord-348010-m3a3utvz	38	21	economic	economic	JJ
cord-348010-m3a3utvz	38	22	,	,	,
cord-348010-m3a3utvz	38	23	political	political	JJ
cord-348010-m3a3utvz	38	24	and	and	CC
cord-348010-m3a3utvz	38	25	first	first	RB
cord-348010-m3a3utvz	38	26	of	of	IN
cord-348010-m3a3utvz	38	27	all	all	DT
cord-348010-m3a3utvz	38	28	medical	medical	JJ
cord-348010-m3a3utvz	38	29	consequences	consequence	NNS
cord-348010-m3a3utvz	38	30	hardly	hardly	RB
cord-348010-m3a3utvz	38	31	can	can	MD
cord-348010-m3a3utvz	38	32	be	be	VB
cord-348010-m3a3utvz	38	33	estimated	estimate	VBN
cord-348010-m3a3utvz	38	34	.	.	.
cord-348010-m3a3utvz	39	1	Studies	study	NNS
cord-348010-m3a3utvz	39	2	show	show	VBP
cord-348010-m3a3utvz	39	3	that	that	IN
cord-348010-m3a3utvz	39	4	the	the	DT
cord-348010-m3a3utvz	39	5	virus	virus	NN
cord-348010-m3a3utvz	39	6	primarily	primarily	RB
cord-348010-m3a3utvz	39	7	is	be	VBZ
cord-348010-m3a3utvz	39	8	quickly	quickly	RB
cord-348010-m3a3utvz	39	9	spread	spread	VBN
cord-348010-m3a3utvz	39	10	via	via	IN
cord-348010-m3a3utvz	39	11	droplet	droplet	NN
cord-348010-m3a3utvz	39	12	infection	infection	NN
cord-348010-m3a3utvz	39	13	and	and	CC
cord-348010-m3a3utvz	39	14	by	by	IN
cord-348010-m3a3utvz	39	15	aerosols	aerosol	NNS
cord-348010-m3a3utvz	39	16	,	,	,
cord-348010-m3a3utvz	39	17	especially	especially	RB
cord-348010-m3a3utvz	39	18	,	,	,
cord-348010-m3a3utvz	39	19	if	if	IN
cord-348010-m3a3utvz	39	20	persons	person	NNS
cord-348010-m3a3utvz	39	21	get	get	VBP
cord-348010-m3a3utvz	39	22	in	in	RP
cord-348010-m3a3utvz	39	23	near	near	JJ
cord-348010-m3a3utvz	39	24	and	and	CC
cord-348010-m3a3utvz	39	25	longer	long	JJR
cord-348010-m3a3utvz	39	26	contact	contact	NN
cord-348010-m3a3utvz	39	27	.	.	.
cord-348010-m3a3utvz	40	1	Without	without	IN
cord-348010-m3a3utvz	40	2	any	any	DT
cord-348010-m3a3utvz	40	3	pretension	pretension	NN
cord-348010-m3a3utvz	40	4	of	of	IN
cord-348010-m3a3utvz	40	5	reasonable	reasonable	JJ
cord-348010-m3a3utvz	40	6	completeness	completeness	NN
cord-348010-m3a3utvz	40	7	we	-PRON-	PRP
cord-348010-m3a3utvz	40	8	refer	refer	VBP
cord-348010-m3a3utvz	40	9	to	to	IN
cord-348010-m3a3utvz	40	10	[	[	-LRB-
cord-348010-m3a3utvz	40	11	1	1	CD
cord-348010-m3a3utvz	40	12	,	,	,
cord-348010-m3a3utvz	40	13	2	2	CD
cord-348010-m3a3utvz	40	14	]	]	-RRB-
cord-348010-m3a3utvz	40	15	for	for	IN
cord-348010-m3a3utvz	40	16	overview	overview	NN
cord-348010-m3a3utvz	40	17	and	and	CC
cord-348010-m3a3utvz	40	18	current	current	JJ
cord-348010-m3a3utvz	40	19	information	information	NN
cord-348010-m3a3utvz	40	20	as	as	RB
cord-348010-m3a3utvz	40	21	well	well	RB
cord-348010-m3a3utvz	40	22	as	as	IN
cord-348010-m3a3utvz	40	23	to	to	IN
cord-348010-m3a3utvz	40	24	[	[	-LRB-
cord-348010-m3a3utvz	40	25	3	3	CD
cord-348010-m3a3utvz	40	26	]	]	-RRB-
cord-348010-m3a3utvz	40	27	[	[	-LRB-
cord-348010-m3a3utvz	40	28	4	4	CD
cord-348010-m3a3utvz	40	29	]	]	-RRB-
cord-348010-m3a3utvz	40	30	[	[	-LRB-
cord-348010-m3a3utvz	40	31	5	5	CD
cord-348010-m3a3utvz	40	32	]	]	-RRB-
cord-348010-m3a3utvz	40	33	[	[	-LRB-
cord-348010-m3a3utvz	40	34	6	6	CD
cord-348010-m3a3utvz	40	35	]	]	-RRB-
cord-348010-m3a3utvz	40	36	[	[	-LRB-
cord-348010-m3a3utvz	40	37	7	7	CD
cord-348010-m3a3utvz	40	38	]	]	-RRB-
cord-348010-m3a3utvz	40	39	and	and	CC
cord-348010-m3a3utvz	40	40	the	the	DT
cord-348010-m3a3utvz	40	41	references	reference	NNS
cord-348010-m3a3utvz	40	42	cited	cite	VBN
cord-348010-m3a3utvz	40	43	therein	therein	RB
cord-348010-m3a3utvz	40	44	.	.	.
cord-348010-m3a3utvz	41	1	Besides	besides	RB
cord-348010-m3a3utvz	41	2	,	,	,
cord-348010-m3a3utvz	41	3	we	-PRON-	PRP
cord-348010-m3a3utvz	41	4	refer	refer	VBP
cord-348010-m3a3utvz	41	5	to	to	IN
cord-348010-m3a3utvz	41	6	[	[	-LRB-
cord-348010-m3a3utvz	41	7	8	8	CD
cord-348010-m3a3utvz	41	8	]	]	-RRB-
cord-348010-m3a3utvz	41	9	for	for	IN
cord-348010-m3a3utvz	41	10	fluidic	fluidic	JJ
cord-348010-m3a3utvz	41	11	investigations	investigation	NNS
cord-348010-m3a3utvz	41	12	concerning	concern	VBG
cord-348010-m3a3utvz	41	13	the	the	DT
cord-348010-m3a3utvz	41	14	spread	spread	NN
cord-348010-m3a3utvz	41	15	of	of	IN
cord-348010-m3a3utvz	41	16	SARS	SARS	NNP
cord-348010-m3a3utvz	41	17	-	-	HYPH
cord-348010-m3a3utvz	41	18	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	41	19	in	in	IN
cord-348010-m3a3utvz	41	20	air	air	NN
cord-348010-m3a3utvz	41	21	.	.	.
cord-348010-m3a3utvz	42	1	In	in	IN
cord-348010-m3a3utvz	42	2	[	[	-LRB-
cord-348010-m3a3utvz	42	3	9	9	CD
cord-348010-m3a3utvz	42	4	]	]	-RRB-
cord-348010-m3a3utvz	42	5	,	,	,
cord-348010-m3a3utvz	42	6	the	the	DT
cord-348010-m3a3utvz	42	7	role	role	NN
cord-348010-m3a3utvz	42	8	of	of	IN
cord-348010-m3a3utvz	42	9	relative	relative	JJ
cord-348010-m3a3utvz	42	10	humidity	humidity	NN
cord-348010-m3a3utvz	42	11	in	in	IN
cord-348010-m3a3utvz	42	12	airborne	airborne	JJ
cord-348010-m3a3utvz	42	13	transmission	transmission	NN
cord-348010-m3a3utvz	42	14	of	of	IN
cord-348010-m3a3utvz	42	15	SARS	SARS	NNP
cord-348010-m3a3utvz	42	16	-	-	HYPH
cord-348010-m3a3utvz	42	17	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	42	18	in	in	IN
cord-348010-m3a3utvz	42	19	indoor	indoor	JJ
cord-348010-m3a3utvz	42	20	environments	environment	NNS
cord-348010-m3a3utvz	42	21	has	have	VBZ
cord-348010-m3a3utvz	42	22	been	be	VBN
cord-348010-m3a3utvz	42	23	discussed	discuss	VBN
cord-348010-m3a3utvz	42	24	.	.	.
cord-348010-m3a3utvz	43	1	In	in	IN
cord-348010-m3a3utvz	43	2	[	[	-LRB-
cord-348010-m3a3utvz	43	3	10	10	CD
cord-348010-m3a3utvz	43	4	]	]	-RRB-
cord-348010-m3a3utvz	43	5	,	,	,
cord-348010-m3a3utvz	43	6	the	the	DT
cord-348010-m3a3utvz	43	7	possible	possible	JJ
cord-348010-m3a3utvz	43	8	protection	protection	NN
cord-348010-m3a3utvz	43	9	of	of	IN
cord-348010-m3a3utvz	43	10	masks	mask	NNS
cord-348010-m3a3utvz	43	11	,	,	,
cord-348010-m3a3utvz	43	12	including	include	VBG
cord-348010-m3a3utvz	43	13	simple	simple	JJ
cord-348010-m3a3utvz	43	14	ones	one	NNS
cord-348010-m3a3utvz	43	15	,	,	,
cord-348010-m3a3utvz	43	16	against	against	IN
cord-348010-m3a3utvz	43	17	infection	infection	NN
cord-348010-m3a3utvz	43	18	has	have	VBZ
cord-348010-m3a3utvz	43	19	been	be	VBN
cord-348010-m3a3utvz	43	20	studied	study	VBN
cord-348010-m3a3utvz	43	21	,	,	,
cord-348010-m3a3utvz	43	22	see	see	VB
cord-348010-m3a3utvz	43	23	also	also	RB
cord-348010-m3a3utvz	43	24	[	[	-LRB-
cord-348010-m3a3utvz	43	25	11	11	CD
cord-348010-m3a3utvz	43	26	]	]	-RRB-
cord-348010-m3a3utvz	43	27	for	for	IN
cord-348010-m3a3utvz	43	28	a	a	DT
cord-348010-m3a3utvz	43	29	corresponding	correspond	VBG
cord-348010-m3a3utvz	43	30	meta	meta	NN
cord-348010-m3a3utvz	43	31	-	-	HYPH
cord-348010-m3a3utvz	43	32	analysis	analysis	NN
cord-348010-m3a3utvz	43	33	.	.	.
cord-348010-m3a3utvz	44	1	In	in	IN
cord-348010-m3a3utvz	44	2	some	some	DT
cord-348010-m3a3utvz	44	3	meat	meat	NN
cord-348010-m3a3utvz	44	4	-	-	HYPH
cord-348010-m3a3utvz	44	5	processing	process	VBG
cord-348010-m3a3utvz	44	6	plants	plant	NNS
cord-348010-m3a3utvz	44	7	in	in	IN
cord-348010-m3a3utvz	44	8	Germany	Germany	NNP
cord-348010-m3a3utvz	44	9	and	and	CC
cord-348010-m3a3utvz	44	10	other	other	JJ
cord-348010-m3a3utvz	44	11	countries	country	NNS
cord-348010-m3a3utvz	44	12	,	,	,
cord-348010-m3a3utvz	44	13	super	super	RB
cord-348010-m3a3utvz	44	14	-	-	JJ
cord-348010-m3a3utvz	44	15	spreading	spread	VBG
cord-348010-m3a3utvz	44	16	events	event	NNS
cord-348010-m3a3utvz	44	17	occurred	occur	VBD
cord-348010-m3a3utvz	44	18	promoted	promote	VBN
cord-348010-m3a3utvz	44	19	by	by	IN
cord-348010-m3a3utvz	44	20	special	special	JJ
cord-348010-m3a3utvz	44	21	climatic	climatic	JJ
cord-348010-m3a3utvz	44	22	working	working	NN
cord-348010-m3a3utvz	44	23	conditions	condition	NNS
cord-348010-m3a3utvz	44	24	,	,	,
cord-348010-m3a3utvz	44	25	see	see	VB
cord-348010-m3a3utvz	44	26	[	[	-LRB-
cord-348010-m3a3utvz	44	27	12	12	CD
cord-348010-m3a3utvz	44	28	]	]	-RRB-
cord-348010-m3a3utvz	44	29	.	.	.
cord-348010-m3a3utvz	45	1	Concerning	concern	VBG
cord-348010-m3a3utvz	45	2	the	the	DT
cord-348010-m3a3utvz	45	3	risk	risk	NN
cord-348010-m3a3utvz	45	4	of	of	IN
cord-348010-m3a3utvz	45	5	an	an	DT
cord-348010-m3a3utvz	45	6	infection	infection	NN
cord-348010-m3a3utvz	45	7	in	in	IN
cord-348010-m3a3utvz	45	8	trains	train	NNS
cord-348010-m3a3utvz	45	9	we	-PRON-	PRP
cord-348010-m3a3utvz	45	10	refer	refer	VBP
cord-348010-m3a3utvz	45	11	to	to	IN
cord-348010-m3a3utvz	45	12	[	[	-LRB-
cord-348010-m3a3utvz	45	13	13	13	CD
cord-348010-m3a3utvz	45	14	]	]	-RRB-
cord-348010-m3a3utvz	45	15	.	.	.
cord-348010-m3a3utvz	46	1	The	the	DT
cord-348010-m3a3utvz	46	2	spread	spread	NN
cord-348010-m3a3utvz	46	3	of	of	IN
cord-348010-m3a3utvz	46	4	infection	infection	NN
cord-348010-m3a3utvz	46	5	is	be	VBZ
cord-348010-m3a3utvz	46	6	promoted	promote	VBN
cord-348010-m3a3utvz	46	7	by	by	IN
cord-348010-m3a3utvz	46	8	a	a	DT
cord-348010-m3a3utvz	46	9	wide	wide	JJ
cord-348010-m3a3utvz	46	10	absence	absence	NN
cord-348010-m3a3utvz	46	11	of	of	IN
cord-348010-m3a3utvz	46	12	immunity	immunity	NN
cord-348010-m3a3utvz	46	13	within	within	IN
cord-348010-m3a3utvz	46	14	the	the	DT
cord-348010-m3a3utvz	46	15	population	population	NN
cord-348010-m3a3utvz	46	16	as	as	RB
cord-348010-m3a3utvz	46	17	well	well	RB
cord-348010-m3a3utvz	46	18	as	as	IN
cord-348010-m3a3utvz	46	19	by	by	IN
cord-348010-m3a3utvz	46	20	not	not	RB
cord-348010-m3a3utvz	46	21	yet	yet	RB
cord-348010-m3a3utvz	46	22	existing	exist	VBG
cord-348010-m3a3utvz	46	23	vaccine	vaccine	NN
cord-348010-m3a3utvz	46	24	and	and	CC
cord-348010-m3a3utvz	46	25	medicines	medicine	NNS
cord-348010-m3a3utvz	46	26	.	.	.
cord-348010-m3a3utvz	47	1	The	the	DT
cord-348010-m3a3utvz	47	2	initial	initial	JJ
cord-348010-m3a3utvz	47	3	hope	hope	NN
cord-348010-m3a3utvz	47	4	of	of	IN
cord-348010-m3a3utvz	47	5	immunity	immunity	NN
cord-348010-m3a3utvz	47	6	after	after	IN
cord-348010-m3a3utvz	47	7	a	a	DT
cord-348010-m3a3utvz	47	8	survived	survive	VBN
cord-348010-m3a3utvz	47	9	infection	infection	NN
cord-348010-m3a3utvz	47	10	could	could	MD
cord-348010-m3a3utvz	47	11	not	not	RB
cord-348010-m3a3utvz	47	12	been	be	VBN
cord-348010-m3a3utvz	47	13	strengthened	strengthen	VBN
cord-348010-m3a3utvz	47	14	,	,	,
cord-348010-m3a3utvz	47	15	see	see	VB
cord-348010-m3a3utvz	47	16	[	[	-LRB-
cord-348010-m3a3utvz	47	17	14	14	CD
cord-348010-m3a3utvz	47	18	]	]	-RRB-
cord-348010-m3a3utvz	47	19	.	.	.
cord-348010-m3a3utvz	48	1	At	at	IN
cord-348010-m3a3utvz	48	2	many	many	JJ
cord-348010-m3a3utvz	48	3	laboratories	laboratory	NNS
cord-348010-m3a3utvz	48	4	all	all	RB
cord-348010-m3a3utvz	48	5	over	over	IN
cord-348010-m3a3utvz	48	6	the	the	DT
cord-348010-m3a3utvz	48	7	world	world	NN
cord-348010-m3a3utvz	48	8	,	,	,
cord-348010-m3a3utvz	48	9	scientist	scientist	NN
cord-348010-m3a3utvz	48	10	are	be	VBP
cord-348010-m3a3utvz	48	11	intensively	intensively	RB
cord-348010-m3a3utvz	48	12	searching	search	VBG
cord-348010-m3a3utvz	48	13	for	for	IN
cord-348010-m3a3utvz	48	14	an	an	DT
cord-348010-m3a3utvz	48	15	adequate	adequate	JJ
cord-348010-m3a3utvz	48	16	vaccine	vaccine	NN
cord-348010-m3a3utvz	48	17	.	.	.
cord-348010-m3a3utvz	49	1	Scientists	scientist	NNS
cord-348010-m3a3utvz	49	2	of	of	IN
cord-348010-m3a3utvz	49	3	very	very	RB
cord-348010-m3a3utvz	49	4	different	different	JJ
cord-348010-m3a3utvz	49	5	disciplines	discipline	NNS
cord-348010-m3a3utvz	49	6	investigate	investigate	VBP
cord-348010-m3a3utvz	49	7	virus	virus	NN
cord-348010-m3a3utvz	49	8	,	,	,
cord-348010-m3a3utvz	49	9	disease	disease	NN
cord-348010-m3a3utvz	49	10	,	,	,
cord-348010-m3a3utvz	49	11	possible	possible	JJ
cord-348010-m3a3utvz	49	12	vaccines	vaccine	NNS
cord-348010-m3a3utvz	49	13	and	and	CC
cord-348010-m3a3utvz	49	14	medicines	medicine	NNS
cord-348010-m3a3utvz	49	15	,	,	,
cord-348010-m3a3utvz	49	16	economic	economic	JJ
cord-348010-m3a3utvz	49	17	,	,	,
cord-348010-m3a3utvz	49	18	political	political	JJ
cord-348010-m3a3utvz	49	19	,	,	,
cord-348010-m3a3utvz	49	20	social	social	JJ
cord-348010-m3a3utvz	49	21	,	,	,
cord-348010-m3a3utvz	49	22	psychological	psychological	JJ
cord-348010-m3a3utvz	49	23	and	and	CC
cord-348010-m3a3utvz	49	24	other	other	JJ
cord-348010-m3a3utvz	49	25	consequences	consequence	NNS
cord-348010-m3a3utvz	49	26	.	.	.
cord-348010-m3a3utvz	50	1	Current	current	JJ
cord-348010-m3a3utvz	50	2	data	datum	NNS
cord-348010-m3a3utvz	50	3	concerning	concern	VBG
cord-348010-m3a3utvz	50	4	the	the	DT
cord-348010-m3a3utvz	50	5	course	course	NN
cord-348010-m3a3utvz	50	6	of	of	IN
cord-348010-m3a3utvz	50	7	infection	infection	NN
cord-348010-m3a3utvz	50	8	are	be	VBP
cord-348010-m3a3utvz	50	9	collected	collect	VBN
cord-348010-m3a3utvz	50	10	and	and	CC
cord-348010-m3a3utvz	50	11	provided	provide	VBN
cord-348010-m3a3utvz	50	12	by	by	IN
cord-348010-m3a3utvz	50	13	the	the	DT
cord-348010-m3a3utvz	50	14	Johns	Johns	NNP
cord-348010-m3a3utvz	50	15	Hopkins	Hopkins	NNP
cord-348010-m3a3utvz	50	16	University	University	NNP
cord-348010-m3a3utvz	50	17	in	in	IN
cord-348010-m3a3utvz	50	18	Baltimore	Baltimore	NNP
cord-348010-m3a3utvz	50	19	,	,	,
cord-348010-m3a3utvz	50	20	USA	USA	NNP
cord-348010-m3a3utvz	50	21	,	,	,
cord-348010-m3a3utvz	50	22	and	and	CC
cord-348010-m3a3utvz	50	23	in	in	IN
cord-348010-m3a3utvz	50	24	Germany	Germany	NNP
cord-348010-m3a3utvz	50	25	by	by	IN
cord-348010-m3a3utvz	50	26	the	the	DT
cord-348010-m3a3utvz	50	27	Robert	Robert	NNP
cord-348010-m3a3utvz	50	28	Koch	Koch	NNP
cord-348010-m3a3utvz	50	29	-	-	HYPH
cord-348010-m3a3utvz	50	30	Institut	Institut	NNP
cord-348010-m3a3utvz	50	31	(	(	-LRB-
cord-348010-m3a3utvz	50	32	RKI	RKI	NNP
cord-348010-m3a3utvz	50	33	)	)	-RRB-
cord-348010-m3a3utvz	50	34	[	[	-LRB-
cord-348010-m3a3utvz	50	35	2	2	CD
cord-348010-m3a3utvz	50	36	]	]	-RRB-
cord-348010-m3a3utvz	50	37	.	.	.
cord-348010-m3a3utvz	51	1	The	the	DT
cord-348010-m3a3utvz	51	2	serious	serious	JJ
cord-348010-m3a3utvz	51	3	situation	situation	NN
cord-348010-m3a3utvz	51	4	in	in	IN
cord-348010-m3a3utvz	51	5	many	many	JJ
cord-348010-m3a3utvz	51	6	countries	country	NNS
cord-348010-m3a3utvz	51	7	caused	cause	VBN
cord-348010-m3a3utvz	51	8	by	by	IN
cord-348010-m3a3utvz	51	9	the	the	DT
cord-348010-m3a3utvz	51	10	pandemic	pandemic	NN
cord-348010-m3a3utvz	51	11	has	have	VBZ
cord-348010-m3a3utvz	51	12	not	not	RB
cord-348010-m3a3utvz	51	13	only	only	RB
cord-348010-m3a3utvz	51	14	challenged	challenge	VBN
cord-348010-m3a3utvz	51	15	the	the	DT
cord-348010-m3a3utvz	51	16	policy	policy	NN
cord-348010-m3a3utvz	51	17	but	but	CC
cord-348010-m3a3utvz	51	18	also	also	RB
cord-348010-m3a3utvz	51	19	the	the	DT
cord-348010-m3a3utvz	51	20	scientific	scientific	JJ
cord-348010-m3a3utvz	51	21	community	community	NN
cord-348010-m3a3utvz	51	22	.	.	.
cord-348010-m3a3utvz	52	1	In	in	IN
cord-348010-m3a3utvz	52	2	some	some	DT
cord-348010-m3a3utvz	52	3	countries	country	NNS
cord-348010-m3a3utvz	52	4	the	the	DT
cord-348010-m3a3utvz	52	5	spread	spread	NN
cord-348010-m3a3utvz	52	6	of	of	IN
cord-348010-m3a3utvz	52	7	SARS	SARS	NNP
cord-348010-m3a3utvz	52	8	-	-	HYPH
cord-348010-m3a3utvz	52	9	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	52	10	could	could	MD
cord-348010-m3a3utvz	52	11	be	be	VB
cord-348010-m3a3utvz	52	12	decelerated	decelerate	VBN
cord-348010-m3a3utvz	52	13	by	by	IN
cord-348010-m3a3utvz	52	14	partially	partially	RB
cord-348010-m3a3utvz	52	15	deep	deep	JJ
cord-348010-m3a3utvz	52	16	cuts	cut	NNS
cord-348010-m3a3utvz	52	17	into	into	IN
cord-348010-m3a3utvz	52	18	the	the	DT
cord-348010-m3a3utvz	52	19	social	social	JJ
cord-348010-m3a3utvz	52	20	and	and	CC
cord-348010-m3a3utvz	52	21	economic	economic	JJ
cord-348010-m3a3utvz	52	22	life	life	NN
cord-348010-m3a3utvz	52	23	.	.	.
cord-348010-m3a3utvz	53	1	However	however	RB
cord-348010-m3a3utvz	53	2	,	,	,
cord-348010-m3a3utvz	53	3	the	the	DT
cord-348010-m3a3utvz	53	4	proceedings	proceeding	NNS
cord-348010-m3a3utvz	53	5	of	of	IN
cord-348010-m3a3utvz	53	6	infection	infection	NN
cord-348010-m3a3utvz	53	7	locally	locally	RB
cord-348010-m3a3utvz	53	8	and	and	CC
cord-348010-m3a3utvz	53	9	temporally	temporally	RB
cord-348010-m3a3utvz	53	10	differ	differ	VBP
cord-348010-m3a3utvz	53	11	remarkably	remarkably	RB
cord-348010-m3a3utvz	53	12	in	in	IN
cord-348010-m3a3utvz	53	13	various	various	JJ
cord-348010-m3a3utvz	53	14	countries	country	NNS
cord-348010-m3a3utvz	53	15	and	and	CC
cord-348010-m3a3utvz	53	16	regions	region	NNS
cord-348010-m3a3utvz	53	17	.	.	.
cord-348010-m3a3utvz	54	1	After	after	IN
cord-348010-m3a3utvz	54	2	the	the	DT
cord-348010-m3a3utvz	54	3	Chinese	chinese	JJ
cord-348010-m3a3utvz	54	4	region	region	NN
cord-348010-m3a3utvz	54	5	around	around	IN
cord-348010-m3a3utvz	54	6	Wuhan	Wuhan	NNP
cord-348010-m3a3utvz	54	7	,	,	,
cord-348010-m3a3utvz	54	8	the	the	DT
cord-348010-m3a3utvz	54	9	virus	virus	NN
cord-348010-m3a3utvz	54	10	came	come	VBD
cord-348010-m3a3utvz	54	11	to	to	IN
cord-348010-m3a3utvz	54	12	western	western	JJ
cord-348010-m3a3utvz	54	13	Europe	Europe	NNP
cord-348010-m3a3utvz	54	14	,	,	,
cord-348010-m3a3utvz	54	15	at	at	IN
cord-348010-m3a3utvz	54	16	first	first	RB
cord-348010-m3a3utvz	54	17	to	to	IN
cord-348010-m3a3utvz	54	18	Italy	Italy	NNP
cord-348010-m3a3utvz	54	19	,	,	,
cord-348010-m3a3utvz	54	20	then	then	RB
cord-348010-m3a3utvz	54	21	to	to	IN
cord-348010-m3a3utvz	54	22	other	other	JJ
cord-348010-m3a3utvz	54	23	European	european	JJ
cord-348010-m3a3utvz	54	24	countries	country	NNS
cord-348010-m3a3utvz	54	25	,	,	,
cord-348010-m3a3utvz	54	26	to	to	IN
cord-348010-m3a3utvz	54	27	the	the	DT
cord-348010-m3a3utvz	54	28	USA	USA	NNP
cord-348010-m3a3utvz	54	29	,	,	,
cord-348010-m3a3utvz	54	30	Brazil	Brazil	NNP
cord-348010-m3a3utvz	54	31	,	,	,
cord-348010-m3a3utvz	54	32	Russia	Russia	NNP
cord-348010-m3a3utvz	54	33	,	,	,
cord-348010-m3a3utvz	54	34	India	India	NNP
cord-348010-m3a3utvz	54	35	,	,	,
cord-348010-m3a3utvz	54	36	South	South	NNP
cord-348010-m3a3utvz	54	37	Africa	Africa	NNP
cord-348010-m3a3utvz	54	38	and	and	CC
cord-348010-m3a3utvz	54	39	nearly	nearly	RB
cord-348010-m3a3utvz	54	40	to	to	IN
cord-348010-m3a3utvz	54	41	all	all	DT
cord-348010-m3a3utvz	54	42	countries	country	NNS
cord-348010-m3a3utvz	54	43	.	.	.
cord-348010-m3a3utvz	55	1	Unfortunately	unfortunately	RB
cord-348010-m3a3utvz	55	2	,	,	,
cord-348010-m3a3utvz	55	3	after	after	IN
cord-348010-m3a3utvz	55	4	a	a	DT
cord-348010-m3a3utvz	55	5	successful	successful	JJ
cord-348010-m3a3utvz	55	6	deceleration	deceleration	NN
cord-348010-m3a3utvz	55	7	the	the	DT
cord-348010-m3a3utvz	55	8	number	number	NN
cord-348010-m3a3utvz	55	9	of	of	IN
cord-348010-m3a3utvz	55	10	new	new	JJ
cord-348010-m3a3utvz	55	11	infections	infection	NNS
cord-348010-m3a3utvz	55	12	is	be	VBZ
cord-348010-m3a3utvz	55	13	growing	grow	VBG
cord-348010-m3a3utvz	55	14	again	again	RB
cord-348010-m3a3utvz	55	15	in	in	IN
cord-348010-m3a3utvz	55	16	many	many	JJ
cord-348010-m3a3utvz	55	17	countries	country	NNS
cord-348010-m3a3utvz	55	18	.	.	.
cord-348010-m3a3utvz	56	1	Now	now	RB
cord-348010-m3a3utvz	56	2	,	,	,
cord-348010-m3a3utvz	56	3	in	in	IN
cord-348010-m3a3utvz	56	4	August	August	NNP
cord-348010-m3a3utvz	56	5	2020	2020	CD
cord-348010-m3a3utvz	56	6	,	,	,
cord-348010-m3a3utvz	56	7	considering	consider	VBG
cord-348010-m3a3utvz	56	8	the	the	DT
cord-348010-m3a3utvz	56	9	whole	whole	JJ
cord-348010-m3a3utvz	56	10	world	world	NN
cord-348010-m3a3utvz	56	11	,	,	,
cord-348010-m3a3utvz	56	12	the	the	DT
cord-348010-m3a3utvz	56	13	SARS	SARS	NNP
cord-348010-m3a3utvz	56	14	-	-	HYPH
cord-348010-m3a3utvz	56	15	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	56	16	pandemic	pandemic	NN
cord-348010-m3a3utvz	56	17	goes	go	VBZ
cord-348010-m3a3utvz	56	18	on	on	RB
cord-348010-m3a3utvz	56	19	and	and	CC
cord-348010-m3a3utvz	56	20	a	a	DT
cord-348010-m3a3utvz	56	21	point	point	NN
cord-348010-m3a3utvz	56	22	of	of	IN
cord-348010-m3a3utvz	56	23	culmination	culmination	NN
cord-348010-m3a3utvz	56	24	is	be	VBZ
cord-348010-m3a3utvz	56	25	not	not	RB
cord-348010-m3a3utvz	56	26	yet	yet	RB
cord-348010-m3a3utvz	56	27	reached	reach	VBN
cord-348010-m3a3utvz	56	28	.	.	.
cord-348010-m3a3utvz	57	1	Due	due	IN
cord-348010-m3a3utvz	57	2	to	to	IN
cord-348010-m3a3utvz	57	3	the	the	DT
cord-348010-m3a3utvz	57	4	SARS	SARS	NNP
cord-348010-m3a3utvz	57	5	-	-	HYPH
cord-348010-m3a3utvz	57	6	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	57	7	pandemic	pandemic	NN
cord-348010-m3a3utvz	57	8	,	,	,
cord-348010-m3a3utvz	57	9	suddenly	suddenly	RB
cord-348010-m3a3utvz	57	10	models	model	NNS
cord-348010-m3a3utvz	57	11	describing	describe	VBG
cord-348010-m3a3utvz	57	12	the	the	DT
cord-348010-m3a3utvz	57	13	spread	spread	NN
cord-348010-m3a3utvz	57	14	of	of	IN
cord-348010-m3a3utvz	57	15	infectious	infectious	JJ
cord-348010-m3a3utvz	57	16	diseases	disease	NNS
cord-348010-m3a3utvz	57	17	are	be	VBP
cord-348010-m3a3utvz	57	18	not	not	RB
cord-348010-m3a3utvz	57	19	only	only	RB
cord-348010-m3a3utvz	57	20	object	object	NN
cord-348010-m3a3utvz	57	21	of	of	IN
cord-348010-m3a3utvz	57	22	research	research	NN
cord-348010-m3a3utvz	57	23	at	at	IN
cord-348010-m3a3utvz	57	24	specialized	specialized	JJ
cord-348010-m3a3utvz	57	25	institutions	institution	NNS
cord-348010-m3a3utvz	57	26	and	and	CC
cord-348010-m3a3utvz	57	27	of	of	IN
cord-348010-m3a3utvz	57	28	comparatively	comparatively	RB
cord-348010-m3a3utvz	57	29	few	few	JJ
cord-348010-m3a3utvz	57	30	scientists	scientist	NNS
cord-348010-m3a3utvz	57	31	,	,	,
cord-348010-m3a3utvz	57	32	but	but	CC
cord-348010-m3a3utvz	57	33	they	-PRON-	PRP
cord-348010-m3a3utvz	57	34	have	have	VBP
cord-348010-m3a3utvz	57	35	come	come	VBN
cord-348010-m3a3utvz	57	36	highly	highly	RB
cord-348010-m3a3utvz	57	37	into	into	IN
cord-348010-m3a3utvz	57	38	the	the	DT
cord-348010-m3a3utvz	57	39	focus	focus	NN
cord-348010-m3a3utvz	57	40	of	of	IN
cord-348010-m3a3utvz	57	41	many	many	JJ
cord-348010-m3a3utvz	57	42	medics	medic	NNS
cord-348010-m3a3utvz	57	43	,	,	,
cord-348010-m3a3utvz	57	44	virologists	virologist	NNS
cord-348010-m3a3utvz	57	45	,	,	,
cord-348010-m3a3utvz	57	46	economists	economist	NNS
cord-348010-m3a3utvz	57	47	and	and	CC
cord-348010-m3a3utvz	57	48	mathematicians	mathematician	NNS
cord-348010-m3a3utvz	57	49	.	.	.
cord-348010-m3a3utvz	58	1	There	there	EX
cord-348010-m3a3utvz	58	2	is	be	VBZ
cord-348010-m3a3utvz	58	3	a	a	DT
cord-348010-m3a3utvz	58	4	long	long	JJ
cord-348010-m3a3utvz	58	5	tradition	tradition	NN
cord-348010-m3a3utvz	58	6	of	of	IN
cord-348010-m3a3utvz	58	7	investigation	investigation	NN
cord-348010-m3a3utvz	58	8	of	of	IN
cord-348010-m3a3utvz	58	9	infectious	infectious	JJ
cord-348010-m3a3utvz	58	10	diseases	disease	NNS
cord-348010-m3a3utvz	58	11	,	,	,
cord-348010-m3a3utvz	58	12	of	of	IN
cord-348010-m3a3utvz	58	13	their	-PRON-	PRP$
cord-348010-m3a3utvz	58	14	spread	spread	NN
cord-348010-m3a3utvz	58	15	within	within	IN
cord-348010-m3a3utvz	58	16	human	human	JJ
cord-348010-m3a3utvz	58	17	community	community	NN
cord-348010-m3a3utvz	58	18	as	as	RB
cord-348010-m3a3utvz	58	19	well	well	RB
cord-348010-m3a3utvz	58	20	as	as	IN
cord-348010-m3a3utvz	58	21	of	of	IN
cord-348010-m3a3utvz	58	22	a	a	DT
cord-348010-m3a3utvz	58	23	corresponding	correspond	VBG
cord-348010-m3a3utvz	58	24	development	development	NN
cord-348010-m3a3utvz	58	25	of	of	IN
cord-348010-m3a3utvz	58	26	mathematical	mathematical	JJ
cord-348010-m3a3utvz	58	27	models	model	NNS
cord-348010-m3a3utvz	58	28	for	for	IN
cord-348010-m3a3utvz	58	29	description	description	NN
cord-348010-m3a3utvz	58	30	.	.	.
cord-348010-m3a3utvz	59	1	Exemplarily	exemplarily	RB
cord-348010-m3a3utvz	59	2	we	-PRON-	PRP
cord-348010-m3a3utvz	59	3	refer	refer	VBP
cord-348010-m3a3utvz	59	4	to	to	IN
cord-348010-m3a3utvz	59	5	[	[	-LRB-
cord-348010-m3a3utvz	59	6	15	15	CD
cord-348010-m3a3utvz	59	7	]	]	-RRB-
cord-348010-m3a3utvz	59	8	[	[	-LRB-
cord-348010-m3a3utvz	59	9	16	16	CD
cord-348010-m3a3utvz	59	10	]	]	-RRB-
cord-348010-m3a3utvz	59	11	[	[	-LRB-
cord-348010-m3a3utvz	59	12	17	17	CD
cord-348010-m3a3utvz	59	13	]	]	-RRB-
cord-348010-m3a3utvz	59	14	,	,	,
cord-348010-m3a3utvz	59	15	to	to	IN
cord-348010-m3a3utvz	59	16	[	[	-LRB-
cord-348010-m3a3utvz	59	17	18	18	CD
cord-348010-m3a3utvz	59	18	]	]	-RRB-
cord-348010-m3a3utvz	59	19	for	for	IN
cord-348010-m3a3utvz	59	20	introduction	introduction	NN
cord-348010-m3a3utvz	59	21	to	to	IN
cord-348010-m3a3utvz	59	22	biomathematics	biomathematic	NNS
cord-348010-m3a3utvz	59	23	and	and	CC
cord-348010-m3a3utvz	59	24	modelling	model	VBG
cord-348010-m3a3utvz	59	25	in	in	IN
cord-348010-m3a3utvz	59	26	biology	biology	NN
cord-348010-m3a3utvz	59	27	and	and	CC
cord-348010-m3a3utvz	59	28	epidemiology	epidemiology	NN
cord-348010-m3a3utvz	59	29	,	,	,
cord-348010-m3a3utvz	59	30	to	to	IN
cord-348010-m3a3utvz	59	31	[	[	-LRB-
cord-348010-m3a3utvz	59	32	19	19	CD
cord-348010-m3a3utvz	59	33	]	]	-RRB-
cord-348010-m3a3utvz	59	34	for	for	IN
cord-348010-m3a3utvz	59	35	medical	medical	JJ
cord-348010-m3a3utvz	59	36	and	and	CC
cord-348010-m3a3utvz	59	37	epidemiological	epidemiological	JJ
cord-348010-m3a3utvz	59	38	background	background	NN
cord-348010-m3a3utvz	59	39	as	as	RB
cord-348010-m3a3utvz	59	40	well	well	RB
cord-348010-m3a3utvz	59	41	as	as	IN
cord-348010-m3a3utvz	59	42	to	to	IN
cord-348010-m3a3utvz	59	43	[	[	-LRB-
cord-348010-m3a3utvz	59	44	20	20	CD
cord-348010-m3a3utvz	59	45	]	]	-RRB-
cord-348010-m3a3utvz	59	46	for	for	IN
cord-348010-m3a3utvz	59	47	comprehensive	comprehensive	JJ
cord-348010-m3a3utvz	59	48	modelling	modelling	NN
cord-348010-m3a3utvz	59	49	of	of	IN
cord-348010-m3a3utvz	59	50	infectious	infectious	JJ
cord-348010-m3a3utvz	59	51	diseases	disease	NNS
cord-348010-m3a3utvz	59	52	.	.	.
cord-348010-m3a3utvz	60	1	It	-PRON-	PRP
cord-348010-m3a3utvz	60	2	is	be	VBZ
cord-348010-m3a3utvz	60	3	impossible	impossible	JJ
cord-348010-m3a3utvz	60	4	to	to	TO
cord-348010-m3a3utvz	60	5	appreciate	appreciate	VB
cord-348010-m3a3utvz	60	6	here	here	RB
cord-348010-m3a3utvz	60	7	in	in	IN
cord-348010-m3a3utvz	60	8	an	an	DT
cord-348010-m3a3utvz	60	9	adequate	adequate	JJ
cord-348010-m3a3utvz	60	10	manner	manner	NN
cord-348010-m3a3utvz	60	11	all	all	PDT
cord-348010-m3a3utvz	60	12	these	these	DT
cord-348010-m3a3utvz	60	13	mathematical	mathematical	JJ
cord-348010-m3a3utvz	60	14	or	or	CC
cord-348010-m3a3utvz	60	15	highly	highly	RB
cord-348010-m3a3utvz	60	16	mathematically	mathematically	RB
cord-348010-m3a3utvz	60	17	oriented	orient	VBN
cord-348010-m3a3utvz	60	18	works	work	NNS
cord-348010-m3a3utvz	60	19	concerning	concern	VBG
cord-348010-m3a3utvz	60	20	the	the	DT
cord-348010-m3a3utvz	60	21	pandemic	pandemic	NN
cord-348010-m3a3utvz	60	22	and	and	CC
cord-348010-m3a3utvz	60	23	its	-PRON-	PRP$
cord-348010-m3a3utvz	60	24	possible	possible	JJ
cord-348010-m3a3utvz	60	25	consequences	consequence	NNS
cord-348010-m3a3utvz	60	26	which	which	WDT
cord-348010-m3a3utvz	60	27	have	have	VBP
cord-348010-m3a3utvz	60	28	been	be	VBN
cord-348010-m3a3utvz	60	29	published	publish	VBN
cord-348010-m3a3utvz	60	30	last	last	JJ
cord-348010-m3a3utvz	60	31	time	time	NN
cord-348010-m3a3utvz	60	32	.	.	.
cord-348010-m3a3utvz	61	1	A	a	DT
cord-348010-m3a3utvz	61	2	small	small	JJ
cord-348010-m3a3utvz	61	3	overview	overview	NN
cord-348010-m3a3utvz	61	4	can	can	MD
cord-348010-m3a3utvz	61	5	be	be	VB
cord-348010-m3a3utvz	61	6	found	find	VBN
cord-348010-m3a3utvz	61	7	in	in	IN
cord-348010-m3a3utvz	61	8	[	[	-LRB-
cord-348010-m3a3utvz	61	9	3	3	CD
cord-348010-m3a3utvz	61	10	]	]	-RRB-
cord-348010-m3a3utvz	61	11	.	.	.
cord-348010-m3a3utvz	62	1	Moreover	moreover	RB
cord-348010-m3a3utvz	62	2	,	,	,
cord-348010-m3a3utvz	62	3	we	-PRON-	PRP
cord-348010-m3a3utvz	62	4	refer	refer	VBP
cord-348010-m3a3utvz	62	5	to	to	IN
cord-348010-m3a3utvz	62	6	[	[	-LRB-
cord-348010-m3a3utvz	62	7	21	21	CD
cord-348010-m3a3utvz	62	8	]	]	-RRB-
cord-348010-m3a3utvz	62	9	.	.	.
cord-348010-m3a3utvz	63	1	Contrary	contrary	JJ
cord-348010-m3a3utvz	63	2	to	to	IN
cord-348010-m3a3utvz	63	3	standard	standard	JJ
cord-348010-m3a3utvz	63	4	models	model	NNS
cord-348010-m3a3utvz	63	5	,	,	,
cord-348010-m3a3utvz	63	6	there	there	RB
cord-348010-m3a3utvz	63	7	the	the	DT
cord-348010-m3a3utvz	63	8	individual	individual	JJ
cord-348010-m3a3utvz	63	9	groups	group	NNS
cord-348010-m3a3utvz	63	10	of	of	IN
cord-348010-m3a3utvz	63	11	persons	person	NNS
cord-348010-m3a3utvz	63	12	like	like	IN
cord-348010-m3a3utvz	63	13	susceptible	susceptible	JJ
cord-348010-m3a3utvz	63	14	and	and	CC
cord-348010-m3a3utvz	63	15	infective	infective	JJ
cord-348010-m3a3utvz	63	16	ones	one	NNS
cord-348010-m3a3utvz	63	17	are	be	VBP
cord-348010-m3a3utvz	63	18	further	further	RB
cord-348010-m3a3utvz	63	19	subdivided	subdivide	VBN
cord-348010-m3a3utvz	63	20	to	to	TO
cord-348010-m3a3utvz	63	21	address	address	VB
cord-348010-m3a3utvz	63	22	specific	specific	JJ
cord-348010-m3a3utvz	63	23	moments	moment	NNS
cord-348010-m3a3utvz	63	24	in	in	IN
cord-348010-m3a3utvz	63	25	their	-PRON-	PRP$
cord-348010-m3a3utvz	63	26	behaviour	behaviour	NN
cord-348010-m3a3utvz	63	27	.	.	.
cord-348010-m3a3utvz	64	1	The	the	DT
cord-348010-m3a3utvz	64	2	arising	arise	VBG
cord-348010-m3a3utvz	64	3	complex	complex	JJ
cord-348010-m3a3utvz	64	4	model	model	NN
cord-348010-m3a3utvz	64	5	is	be	VBZ
cord-348010-m3a3utvz	64	6	strongly	strongly	RB
cord-348010-m3a3utvz	64	7	tailored	tailor	VBN
cord-348010-m3a3utvz	64	8	to	to	IN
cord-348010-m3a3utvz	64	9	the	the	DT
cord-348010-m3a3utvz	64	10	COVID-19	covid-19	JJ
cord-348010-m3a3utvz	64	11	epidemic	epidemic	NN
cord-348010-m3a3utvz	64	12	in	in	IN
cord-348010-m3a3utvz	64	13	Germany	Germany	NNP
cord-348010-m3a3utvz	64	14	.	.	.
cord-348010-m3a3utvz	65	1	In	in	IN
cord-348010-m3a3utvz	65	2	[	[	-LRB-
cord-348010-m3a3utvz	65	3	22	22	CD
cord-348010-m3a3utvz	65	4	]	]	-RRB-
cord-348010-m3a3utvz	65	5	the	the	DT
cord-348010-m3a3utvz	65	6	authors	author	NNS
cord-348010-m3a3utvz	65	7	investigate	investigate	VBP
cord-348010-m3a3utvz	65	8	several	several	JJ
cord-348010-m3a3utvz	65	9	possible	possible	JJ
cord-348010-m3a3utvz	65	10	scenarios	scenario	NNS
cord-348010-m3a3utvz	65	11	after	after	IN
cord-348010-m3a3utvz	65	12	easing	ease	VBG
cord-348010-m3a3utvz	65	13	existing	exist	VBG
cord-348010-m3a3utvz	65	14	restrictions	restriction	NNS
cord-348010-m3a3utvz	65	15	of	of	IN
cord-348010-m3a3utvz	65	16	public	public	JJ
cord-348010-m3a3utvz	65	17	life	life	NN
cord-348010-m3a3utvz	65	18	.	.	.
cord-348010-m3a3utvz	66	1	In	in	IN
cord-348010-m3a3utvz	66	2	[	[	-LRB-
cord-348010-m3a3utvz	66	3	23	23	CD
cord-348010-m3a3utvz	66	4	]	]	-RRB-
cord-348010-m3a3utvz	66	5	,	,	,
cord-348010-m3a3utvz	66	6	the	the	DT
cord-348010-m3a3utvz	66	7	effects	effect	NNS
cord-348010-m3a3utvz	66	8	of	of	IN
cord-348010-m3a3utvz	66	9	several	several	JJ
cord-348010-m3a3utvz	66	10	measures	measure	NNS
cord-348010-m3a3utvz	66	11	for	for	IN
cord-348010-m3a3utvz	66	12	containment	containment	NN
cord-348010-m3a3utvz	66	13	performed	perform	VBN
cord-348010-m3a3utvz	66	14	in	in	IN
cord-348010-m3a3utvz	66	15	Germany	Germany	NNP
cord-348010-m3a3utvz	66	16	are	be	VBP
cord-348010-m3a3utvz	66	17	investigated	investigate	VBN
cord-348010-m3a3utvz	66	18	a	a	DT
cord-348010-m3a3utvz	66	19	posteriori	posteriori	NN
cord-348010-m3a3utvz	66	20	.	.	.
cord-348010-m3a3utvz	67	1	In	in	IN
cord-348010-m3a3utvz	67	2	[	[	-LRB-
cord-348010-m3a3utvz	67	3	24	24	CD
cord-348010-m3a3utvz	67	4	]	]	-RRB-
cord-348010-m3a3utvz	67	5	,	,	,
cord-348010-m3a3utvz	67	6	some	some	DT
cord-348010-m3a3utvz	67	7	aspects	aspect	NNS
cord-348010-m3a3utvz	67	8	of	of	IN
cord-348010-m3a3utvz	67	9	parameter	parameter	NN
cord-348010-m3a3utvz	67	10	exploitation	exploitation	NN
cord-348010-m3a3utvz	67	11	from	from	IN
cord-348010-m3a3utvz	67	12	available	available	JJ
cord-348010-m3a3utvz	67	13	data	datum	NNS
cord-348010-m3a3utvz	67	14	are	be	VBP
cord-348010-m3a3utvz	67	15	considered	consider	VBN
cord-348010-m3a3utvz	67	16	,	,	,
cord-348010-m3a3utvz	67	17	particularly	particularly	RB
cord-348010-m3a3utvz	67	18	concerning	concern	VBG
cord-348010-m3a3utvz	67	19	the	the	DT
cord-348010-m3a3utvz	67	20	reproduction	reproduction	NN
cord-348010-m3a3utvz	67	21	number	number	NN
cord-348010-m3a3utvz	67	22	.	.	.
cord-348010-m3a3utvz	68	1	Moreover	moreover	RB
cord-348010-m3a3utvz	68	2	,	,	,
cord-348010-m3a3utvz	68	3	we	-PRON-	PRP
cord-348010-m3a3utvz	68	4	refer	refer	VBP
cord-348010-m3a3utvz	68	5	to	to	IN
cord-348010-m3a3utvz	68	6	[	[	-LRB-
cord-348010-m3a3utvz	68	7	25	25	CD
cord-348010-m3a3utvz	68	8	]	]	-RRB-
cord-348010-m3a3utvz	68	9	and	and	CC
cord-348010-m3a3utvz	68	10	[	[	-LRB-
cord-348010-m3a3utvz	68	11	26	26	CD
cord-348010-m3a3utvz	68	12	]	]	-RRB-
cord-348010-m3a3utvz	68	13	for	for	IN
cord-348010-m3a3utvz	68	14	results	result	NNS
cord-348010-m3a3utvz	68	15	of	of	IN
cord-348010-m3a3utvz	68	16	a	a	DT
cord-348010-m3a3utvz	68	17	strong	strong	JJ
cord-348010-m3a3utvz	68	18	lock	lock	NN
cord-348010-m3a3utvz	68	19	down	down	RP
cord-348010-m3a3utvz	68	20	to	to	IN
cord-348010-m3a3utvz	68	21	the	the	DT
cord-348010-m3a3utvz	68	22	course	course	NN
cord-348010-m3a3utvz	68	23	of	of	IN
cord-348010-m3a3utvz	68	24	infection	infection	NN
cord-348010-m3a3utvz	68	25	.	.	.
cord-348010-m3a3utvz	69	1	In	in	IN
cord-348010-m3a3utvz	69	2	[	[	-LRB-
cord-348010-m3a3utvz	69	3	27	27	CD
cord-348010-m3a3utvz	69	4	]	]	-RRB-
cord-348010-m3a3utvz	69	5	,	,	,
cord-348010-m3a3utvz	69	6	a	a	DT
cord-348010-m3a3utvz	69	7	mathematical	mathematical	JJ
cord-348010-m3a3utvz	69	8	model	model	NN
cord-348010-m3a3utvz	69	9	has	have	VBZ
cord-348010-m3a3utvz	69	10	been	be	VBN
cord-348010-m3a3utvz	69	11	developed	develop	VBN
cord-348010-m3a3utvz	69	12	which	which	WDT
cord-348010-m3a3utvz	69	13	describes	describe	VBZ
cord-348010-m3a3utvz	69	14	the	the	DT
cord-348010-m3a3utvz	69	15	begin	begin	NN
cord-348010-m3a3utvz	69	16	of	of	IN
cord-348010-m3a3utvz	69	17	the	the	DT
cord-348010-m3a3utvz	69	18	SARS	SARS	NNP
cord-348010-m3a3utvz	69	19	-	-	HYPH
cord-348010-m3a3utvz	69	20	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	69	21	epidemic	epidemic	NN
cord-348010-m3a3utvz	69	22	in	in	IN
cord-348010-m3a3utvz	69	23	France	France	NNP
cord-348010-m3a3utvz	69	24	.	.	.
cord-348010-m3a3utvz	70	1	In	in	IN
cord-348010-m3a3utvz	70	2	[	[	-LRB-
cord-348010-m3a3utvz	70	3	28	28	CD
cord-348010-m3a3utvz	70	4	]	]	-RRB-
cord-348010-m3a3utvz	70	5	,	,	,
cord-348010-m3a3utvz	70	6	the	the	DT
cord-348010-m3a3utvz	70	7	standard	standard	JJ
cord-348010-m3a3utvz	70	8	SIR	SIR	NNP
cord-348010-m3a3utvz	70	9	model	model	NN
cord-348010-m3a3utvz	70	10	is	be	VBZ
cord-348010-m3a3utvz	70	11	analysed	analyse	VBN
cord-348010-m3a3utvz	70	12	in	in	IN
cord-348010-m3a3utvz	70	13	a	a	DT
cord-348010-m3a3utvz	70	14	comprehensive	comprehensive	JJ
cord-348010-m3a3utvz	70	15	way	way	NN
cord-348010-m3a3utvz	70	16	.	.	.
cord-348010-m3a3utvz	71	1	Based	base	VBN
cord-348010-m3a3utvz	71	2	on	on	IN
cord-348010-m3a3utvz	71	3	current	current	JJ
cord-348010-m3a3utvz	71	4	available	available	JJ
cord-348010-m3a3utvz	71	5	data	datum	NNS
cord-348010-m3a3utvz	71	6	,	,	,
cord-348010-m3a3utvz	71	7	a	a	DT
cord-348010-m3a3utvz	71	8	special	special	JJ
cord-348010-m3a3utvz	71	9	variation	variation	NN
cord-348010-m3a3utvz	71	10	is	be	VBZ
cord-348010-m3a3utvz	71	11	presented	present	VBN
cord-348010-m3a3utvz	71	12	allowing	allow	VBG
cord-348010-m3a3utvz	71	13	for	for	IN
cord-348010-m3a3utvz	71	14	an	an	DT
cord-348010-m3a3utvz	71	15	improved	improved	JJ
cord-348010-m3a3utvz	71	16	monitoring	monitoring	NN
cord-348010-m3a3utvz	71	17	of	of	IN
cord-348010-m3a3utvz	71	18	the	the	DT
cord-348010-m3a3utvz	71	19	pandemic	pandemic	NN
cord-348010-m3a3utvz	71	20	.	.	.
cord-348010-m3a3utvz	72	1	This	this	DT
cord-348010-m3a3utvz	72	2	study	study	NN
cord-348010-m3a3utvz	72	3	is	be	VBZ
cord-348010-m3a3utvz	72	4	a	a	DT
cord-348010-m3a3utvz	72	5	revised	revise	VBN
cord-348010-m3a3utvz	72	6	and	and	CC
cord-348010-m3a3utvz	72	7	updated	update	VBN
cord-348010-m3a3utvz	72	8	version	version	NN
cord-348010-m3a3utvz	72	9	of	of	IN
cord-348010-m3a3utvz	72	10	the	the	DT
cord-348010-m3a3utvz	72	11	former	former	JJ
cord-348010-m3a3utvz	72	12	papers	paper	NNS
cord-348010-m3a3utvz	72	13	[	[	-LRB-
cord-348010-m3a3utvz	72	14	29	29	CD
cord-348010-m3a3utvz	72	15	,	,	,
cord-348010-m3a3utvz	72	16	30	30	CD
cord-348010-m3a3utvz	72	17	]	]	-RRB-
cord-348010-m3a3utvz	72	18	.	.	.
cord-348010-m3a3utvz	73	1	It	-PRON-	PRP
cord-348010-m3a3utvz	73	2	is	be	VBZ
cord-348010-m3a3utvz	73	3	the	the	DT
cord-348010-m3a3utvz	73	4	aim	aim	NN
cord-348010-m3a3utvz	73	5	to	to	TO
cord-348010-m3a3utvz	73	6	provide	provide	VB
cord-348010-m3a3utvz	73	7	systematically	systematically	RB
cord-348010-m3a3utvz	73	8	some	some	DT
cord-348010-m3a3utvz	73	9	general	general	JJ
cord-348010-m3a3utvz	73	10	components	component	NNS
cord-348010-m3a3utvz	73	11	for	for	IN
cord-348010-m3a3utvz	73	12	building	building	NN
cord-348010-m3a3utvz	73	13	-	-	HYPH
cord-348010-m3a3utvz	73	14	up	up	RP
cord-348010-m3a3utvz	73	15	deterministic	deterministic	JJ
cord-348010-m3a3utvz	73	16	models	model	NNS
cord-348010-m3a3utvz	73	17	for	for	IN
cord-348010-m3a3utvz	73	18	the	the	DT
cord-348010-m3a3utvz	73	19	spread	spread	NN
cord-348010-m3a3utvz	73	20	of	of	IN
cord-348010-m3a3utvz	73	21	infectious	infectious	JJ
cord-348010-m3a3utvz	73	22	diseases	disease	NNS
cord-348010-m3a3utvz	73	23	.	.	.
cord-348010-m3a3utvz	74	1	The	the	DT
cord-348010-m3a3utvz	74	2	approaches	approach	NNS
cord-348010-m3a3utvz	74	3	summarized	summarize	VBN
cord-348010-m3a3utvz	74	4	here	here	RB
cord-348010-m3a3utvz	74	5	are	be	VBP
cord-348010-m3a3utvz	74	6	well	well	RB
cord-348010-m3a3utvz	74	7	-	-	HYPH
cord-348010-m3a3utvz	74	8	known	know	VBN
cord-348010-m3a3utvz	74	9	.	.	.
cord-348010-m3a3utvz	75	1	However	however	RB
cord-348010-m3a3utvz	75	2	,	,	,
cord-348010-m3a3utvz	75	3	they	-PRON-	PRP
cord-348010-m3a3utvz	75	4	could	could	MD
cord-348010-m3a3utvz	75	5	be	be	VB
cord-348010-m3a3utvz	75	6	an	an	DT
cord-348010-m3a3utvz	75	7	assistance	assistance	NN
cord-348010-m3a3utvz	75	8	for	for	IN
cord-348010-m3a3utvz	75	9	interested	interested	JJ
cord-348010-m3a3utvz	75	10	colleagues	colleague	NNS
cord-348010-m3a3utvz	75	11	who	who	WP
cord-348010-m3a3utvz	75	12	do	do	VBP
cord-348010-m3a3utvz	75	13	not	not	RB
cord-348010-m3a3utvz	75	14	deal	deal	VB
cord-348010-m3a3utvz	75	15	with	with	IN
cord-348010-m3a3utvz	75	16	mathematical	mathematical	JJ
cord-348010-m3a3utvz	75	17	modelling	modelling	NN
cord-348010-m3a3utvz	75	18	every	every	DT
cord-348010-m3a3utvz	75	19	day	day	NN
cord-348010-m3a3utvz	75	20	.	.	.
cord-348010-m3a3utvz	76	1	In	in	IN
cord-348010-m3a3utvz	76	2	this	this	DT
cord-348010-m3a3utvz	76	3	study	study	NN
cord-348010-m3a3utvz	76	4	,	,	,
cord-348010-m3a3utvz	76	5	modelling	modelling	NN
cord-348010-m3a3utvz	76	6	means	mean	VBZ
cord-348010-m3a3utvz	76	7	building	build	VBG
cord-348010-m3a3utvz	76	8	-	-	HYPH
cord-348010-m3a3utvz	76	9	up	up	RP
cord-348010-m3a3utvz	76	10	models	model	NNS
cord-348010-m3a3utvz	76	11	,	,	,
cord-348010-m3a3utvz	76	12	i.e.	i.e.	FW
cord-348010-m3a3utvz	76	13	,	,	,
cord-348010-m3a3utvz	76	14	the	the	DT
cord-348010-m3a3utvz	76	15	derivation	derivation	NN
cord-348010-m3a3utvz	76	16	of	of	IN
cord-348010-m3a3utvz	76	17	mathematical	mathematical	JJ
cord-348010-m3a3utvz	76	18	descriptions	description	NNS
cord-348010-m3a3utvz	76	19	for	for	IN
cord-348010-m3a3utvz	76	20	real	real	JJ
cord-348010-m3a3utvz	76	21	processes	process	NNS
cord-348010-m3a3utvz	76	22	,	,	,
cord-348010-m3a3utvz	76	23	here	here	RB
cord-348010-m3a3utvz	76	24	the	the	DT
cord-348010-m3a3utvz	76	25	spread	spread	NN
cord-348010-m3a3utvz	76	26	of	of	IN
cord-348010-m3a3utvz	76	27	infectious	infectious	JJ
cord-348010-m3a3utvz	76	28	diseases	disease	NNS
cord-348010-m3a3utvz	76	29	,	,	,
cord-348010-m3a3utvz	76	30	starting	start	VBG
cord-348010-m3a3utvz	76	31	with	with	IN
cord-348010-m3a3utvz	76	32	some	some	DT
cord-348010-m3a3utvz	76	33	basic	basic	JJ
cord-348010-m3a3utvz	76	34	assumptions	assumption	NNS
cord-348010-m3a3utvz	76	35	confirmed	confirm	VBN
cord-348010-m3a3utvz	76	36	by	by	IN
cord-348010-m3a3utvz	76	37	empirical	empirical	JJ
cord-348010-m3a3utvz	76	38	findings	finding	NNS
cord-348010-m3a3utvz	76	39	.	.	.
cord-348010-m3a3utvz	77	1	Outline	Outline	NNP
cord-348010-m3a3utvz	77	2	of	of	IN
cord-348010-m3a3utvz	77	3	the	the	DT
cord-348010-m3a3utvz	77	4	remaining	remain	VBG
cord-348010-m3a3utvz	77	5	paper	paper	NN
cord-348010-m3a3utvz	77	6	:	:	:
cord-348010-m3a3utvz	77	7	(	(	-LRB-
cord-348010-m3a3utvz	77	8	i	i	NN
cord-348010-m3a3utvz	77	9	)	)	-RRB-
cord-348010-m3a3utvz	78	1	In	in	IN
cord-348010-m3a3utvz	78	2	Section	section	NN
cord-348010-m3a3utvz	78	3	2	2	CD
cord-348010-m3a3utvz	78	4	,	,	,
cord-348010-m3a3utvz	78	5	we	-PRON-	PRP
cord-348010-m3a3utvz	78	6	investigate	investigate	VBP
cord-348010-m3a3utvz	78	7	some	some	DT
cord-348010-m3a3utvz	78	8	general	general	JJ
cord-348010-m3a3utvz	78	9	aspects	aspect	NNS
cord-348010-m3a3utvz	78	10	of	of	IN
cord-348010-m3a3utvz	78	11	modelling	model	VBG
cord-348010-m3a3utvz	78	12	the	the	DT
cord-348010-m3a3utvz	78	13	spread	spread	NN
cord-348010-m3a3utvz	78	14	of	of	IN
cord-348010-m3a3utvz	78	15	infectious	infectious	JJ
cord-348010-m3a3utvz	78	16	diseases	disease	NNS
cord-348010-m3a3utvz	78	17	in	in	IN
cord-348010-m3a3utvz	78	18	human	human	JJ
cord-348010-m3a3utvz	78	19	communities	community	NNS
cord-348010-m3a3utvz	78	20	.	.	.
cord-348010-m3a3utvz	79	1	Although	although	IN
cord-348010-m3a3utvz	79	2	this	this	DT
cord-348010-m3a3utvz	79	3	work	work	NN
cord-348010-m3a3utvz	79	4	is	be	VBZ
cord-348010-m3a3utvz	79	5	also	also	RB
cord-348010-m3a3utvz	79	6	a	a	DT
cord-348010-m3a3utvz	79	7	consequence	consequence	NN
cord-348010-m3a3utvz	79	8	of	of	IN
cord-348010-m3a3utvz	79	9	the	the	DT
cord-348010-m3a3utvz	79	10	COVID-19	covid-19	JJ
cord-348010-m3a3utvz	79	11	pandemic	pandemic	NN
cord-348010-m3a3utvz	79	12	,	,	,
cord-348010-m3a3utvz	79	13	our	-PRON-	PRP$
cord-348010-m3a3utvz	79	14	presentation	presentation	NN
cord-348010-m3a3utvz	79	15	is	be	VBZ
cord-348010-m3a3utvz	79	16	not	not	RB
cord-348010-m3a3utvz	79	17	to	to	TO
cord-348010-m3a3utvz	79	18	closely	closely	RB
cord-348010-m3a3utvz	79	19	oriented	orient	VBN
cord-348010-m3a3utvz	79	20	to	to	IN
cord-348010-m3a3utvz	79	21	known	know	VBN
cord-348010-m3a3utvz	79	22	specifics	specific	NNS
cord-348010-m3a3utvz	79	23	of	of	IN
cord-348010-m3a3utvz	79	24	SARS	SARS	NNP
cord-348010-m3a3utvz	79	25	-	-	HYPH
cord-348010-m3a3utvz	79	26	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	79	27	.	.	.
cord-348010-m3a3utvz	80	1	(	(	-LRB-
cord-348010-m3a3utvz	80	2	ii	ii	NN
cord-348010-m3a3utvz	80	3	)	)	-RRB-
cord-348010-m3a3utvz	81	1	In	in	IN
cord-348010-m3a3utvz	81	2	Section	section	NN
cord-348010-m3a3utvz	81	3	3	3	CD
cord-348010-m3a3utvz	81	4	,	,	,
cord-348010-m3a3utvz	81	5	we	-PRON-	PRP
cord-348010-m3a3utvz	81	6	get	get	VBP
cord-348010-m3a3utvz	81	7	a	a	DT
cord-348010-m3a3utvz	81	8	SEI	SEI	NNP
cord-348010-m3a3utvz	81	9	3	3	CD
cord-348010-m3a3utvz	81	10	RSD	RSD	NNP
cord-348010-m3a3utvz	81	11	model	model	NN
cord-348010-m3a3utvz	81	12	,	,	,
cord-348010-m3a3utvz	81	13	which	which	WDT
cord-348010-m3a3utvz	81	14	can	can	MD
cord-348010-m3a3utvz	81	15	take	take	VB
cord-348010-m3a3utvz	81	16	essential	essential	JJ
cord-348010-m3a3utvz	81	17	items	item	NNS
cord-348010-m3a3utvz	81	18	of	of	IN
cord-348010-m3a3utvz	81	19	COVID-19	covid-19	RB
cord-348010-m3a3utvz	81	20	known	know	VBN
cord-348010-m3a3utvz	81	21	today	today	NN
cord-348010-m3a3utvz	81	22	into	into	IN
cord-348010-m3a3utvz	81	23	account	account	NN
cord-348010-m3a3utvz	81	24	.	.	.
cord-348010-m3a3utvz	82	1	I	-PRON-	PRP
cord-348010-m3a3utvz	82	2	3	3	CD
cord-348010-m3a3utvz	82	3	means	mean	VBZ
cord-348010-m3a3utvz	82	4	,	,	,
cord-348010-m3a3utvz	82	5	that	that	IN
cord-348010-m3a3utvz	82	6	there	there	EX
cord-348010-m3a3utvz	82	7	are	be	VBP
cord-348010-m3a3utvz	82	8	distinguished	distinguish	VBN
cord-348010-m3a3utvz	82	9	three	three	CD
cord-348010-m3a3utvz	82	10	classes	class	NNS
cord-348010-m3a3utvz	82	11	of	of	IN
cord-348010-m3a3utvz	82	12	infectious	infectious	JJ
cord-348010-m3a3utvz	82	13	persons	person	NNS
cord-348010-m3a3utvz	82	14	.	.	.
cord-348010-m3a3utvz	83	1	Contrary	contrary	JJ
cord-348010-m3a3utvz	83	2	to	to	IN
cord-348010-m3a3utvz	83	3	[	[	-LRB-
cord-348010-m3a3utvz	83	4	21	21	CD
cord-348010-m3a3utvz	83	5	]	]	-RRB-
cord-348010-m3a3utvz	84	1	we	-PRON-	PRP
cord-348010-m3a3utvz	84	2	only	only	RB
cord-348010-m3a3utvz	84	3	subdivide	subdivide	VBP
cord-348010-m3a3utvz	84	4	classes	class	NNS
cord-348010-m3a3utvz	84	5	of	of	IN
cord-348010-m3a3utvz	84	6	population	population	NN
cord-348010-m3a3utvz	84	7	with	with	IN
cord-348010-m3a3utvz	84	8	respect	respect	NN
cord-348010-m3a3utvz	84	9	to	to	IN
cord-348010-m3a3utvz	84	10	the	the	DT
cord-348010-m3a3utvz	84	11	course	course	NN
cord-348010-m3a3utvz	84	12	of	of	IN
cord-348010-m3a3utvz	84	13	infection	infection	NN
cord-348010-m3a3utvz	84	14	and	and	CC
cord-348010-m3a3utvz	84	15	disease	disease	NN
cord-348010-m3a3utvz	84	16	,	,	,
cord-348010-m3a3utvz	84	17	but	but	CC
cord-348010-m3a3utvz	84	18	not	not	RB
cord-348010-m3a3utvz	84	19	with	with	IN
cord-348010-m3a3utvz	84	20	respect	respect	NN
cord-348010-m3a3utvz	84	21	to	to	IN
cord-348010-m3a3utvz	84	22	age	age	NN
cord-348010-m3a3utvz	84	23	or	or	CC
cord-348010-m3a3utvz	84	24	social	social	JJ
cord-348010-m3a3utvz	84	25	behaviour	behaviour	NN
cord-348010-m3a3utvz	84	26	.	.	.
cord-348010-m3a3utvz	85	1	However	however	RB
cord-348010-m3a3utvz	85	2	,	,	,
cord-348010-m3a3utvz	85	3	the	the	DT
cord-348010-m3a3utvz	85	4	mentioned	mention	VBN
cord-348010-m3a3utvz	85	5	modular	modular	JJ
cord-348010-m3a3utvz	85	6	design	design	NN
cord-348010-m3a3utvz	85	7	principle	principle	NN
cord-348010-m3a3utvz	85	8	allows	allow	VBZ
cord-348010-m3a3utvz	85	9	to	to	TO
cord-348010-m3a3utvz	85	10	extend	extend	VB
cord-348010-m3a3utvz	85	11	the	the	DT
cord-348010-m3a3utvz	85	12	model	model	NN
cord-348010-m3a3utvz	85	13	in	in	IN
cord-348010-m3a3utvz	85	14	case	case	NN
cord-348010-m3a3utvz	85	15	of	of	IN
cord-348010-m3a3utvz	85	16	necessity	necessity	NN
cord-348010-m3a3utvz	85	17	.	.	.
cord-348010-m3a3utvz	86	1	(	(	-LRB-
cord-348010-m3a3utvz	86	2	iii	iii	NN
cord-348010-m3a3utvz	86	3	)	)	-RRB-
cord-348010-m3a3utvz	87	1	In	in	IN
cord-348010-m3a3utvz	87	2	Section	section	NN
cord-348010-m3a3utvz	87	3	4	4	CD
cord-348010-m3a3utvz	87	4	,	,	,
cord-348010-m3a3utvz	87	5	we	-PRON-	PRP
cord-348010-m3a3utvz	87	6	deal	deal	VBP
cord-348010-m3a3utvz	87	7	with	with	IN
cord-348010-m3a3utvz	87	8	some	some	DT
cord-348010-m3a3utvz	87	9	mathematical	mathematical	JJ
cord-348010-m3a3utvz	87	10	questions	question	NNS
cord-348010-m3a3utvz	87	11	arising	arise	VBG
cord-348010-m3a3utvz	87	12	from	from	IN
cord-348010-m3a3utvz	87	13	the	the	DT
cord-348010-m3a3utvz	87	14	developed	develop	VBN
cord-348010-m3a3utvz	87	15	models	model	NNS
cord-348010-m3a3utvz	87	16	.	.	.
cord-348010-m3a3utvz	88	1	In	in	IN
cord-348010-m3a3utvz	88	2	particular	particular	JJ
cord-348010-m3a3utvz	88	3	,	,	,
cord-348010-m3a3utvz	88	4	we	-PRON-	PRP
cord-348010-m3a3utvz	88	5	investigate	investigate	VBP
cord-348010-m3a3utvz	88	6	some	some	DT
cord-348010-m3a3utvz	88	7	solution	solution	NN
cord-348010-m3a3utvz	88	8	behaviour	behaviour	NN
cord-348010-m3a3utvz	88	9	of	of	IN
cord-348010-m3a3utvz	88	10	the	the	DT
cord-348010-m3a3utvz	88	11	corresponding	correspond	VBG
cord-348010-m3a3utvz	88	12	mathematical	mathematical	JJ
cord-348010-m3a3utvz	88	13	problems	problem	NNS
cord-348010-m3a3utvz	88	14	like	like	IN
cord-348010-m3a3utvz	88	15	unique	unique	JJ
cord-348010-m3a3utvz	88	16	global	global	JJ
cord-348010-m3a3utvz	88	17	solvability	solvability	NN
cord-348010-m3a3utvz	88	18	and	and	CC
cord-348010-m3a3utvz	88	19	nonnegativity	nonnegativity	NN
cord-348010-m3a3utvz	88	20	of	of	IN
cord-348010-m3a3utvz	88	21	each	each	DT
cord-348010-m3a3utvz	88	22	solution	solution	NN
cord-348010-m3a3utvz	88	23	component	component	NN
cord-348010-m3a3utvz	88	24	.	.	.
cord-348010-m3a3utvz	89	1	Besides	besides	IN
cord-348010-m3a3utvz	89	2	this	this	DT
cord-348010-m3a3utvz	89	3	,	,	,
cord-348010-m3a3utvz	89	4	some	some	DT
cord-348010-m3a3utvz	89	5	aspects	aspect	NNS
cord-348010-m3a3utvz	89	6	of	of	IN
cord-348010-m3a3utvz	89	7	dimensional	dimensional	JJ
cord-348010-m3a3utvz	89	8	analysis	analysis	NN
cord-348010-m3a3utvz	89	9	and	and	CC
cord-348010-m3a3utvz	89	10	its	-PRON-	PRP$
cord-348010-m3a3utvz	89	11	application	application	NN
cord-348010-m3a3utvz	89	12	to	to	IN
cord-348010-m3a3utvz	89	13	the	the	DT
cord-348010-m3a3utvz	89	14	models	model	NNS
cord-348010-m3a3utvz	89	15	are	be	VBP
cord-348010-m3a3utvz	89	16	treated	treat	VBN
cord-348010-m3a3utvz	89	17	.	.	.
cord-348010-m3a3utvz	90	1	Here	here	RB
cord-348010-m3a3utvz	90	2	we	-PRON-	PRP
cord-348010-m3a3utvz	90	3	present	present	VBP
cord-348010-m3a3utvz	90	4	in	in	IN
cord-348010-m3a3utvz	90	5	short	short	JJ
cord-348010-m3a3utvz	90	6	some	some	DT
cord-348010-m3a3utvz	90	7	items	item	NNS
cord-348010-m3a3utvz	90	8	of	of	IN
cord-348010-m3a3utvz	90	9	deterministic	deterministic	JJ
cord-348010-m3a3utvz	90	10	models	model	NNS
cord-348010-m3a3utvz	90	11	for	for	IN
cord-348010-m3a3utvz	90	12	courses	course	NNS
cord-348010-m3a3utvz	90	13	of	of	IN
cord-348010-m3a3utvz	90	14	infections	infection	NNS
cord-348010-m3a3utvz	90	15	in	in	IN
cord-348010-m3a3utvz	90	16	human	human	JJ
cord-348010-m3a3utvz	90	17	communities	community	NNS
cord-348010-m3a3utvz	90	18	.	.	.
cord-348010-m3a3utvz	91	1	We	-PRON-	PRP
cord-348010-m3a3utvz	91	2	are	be	VBP
cord-348010-m3a3utvz	91	3	geared	gear	VBN
cord-348010-m3a3utvz	91	4	to	to	IN
cord-348010-m3a3utvz	91	5	the	the	DT
cord-348010-m3a3utvz	91	6	review	review	NN
cord-348010-m3a3utvz	91	7	paper	paper	NN
cord-348010-m3a3utvz	91	8	by	by	IN
cord-348010-m3a3utvz	91	9	[	[	-LRB-
cord-348010-m3a3utvz	91	10	16	16	CD
cord-348010-m3a3utvz	91	11	]	]	-RRB-
cord-348010-m3a3utvz	91	12	as	as	RB
cord-348010-m3a3utvz	91	13	well	well	RB
cord-348010-m3a3utvz	91	14	as	as	IN
cord-348010-m3a3utvz	91	15	to	to	IN
cord-348010-m3a3utvz	91	16	the	the	DT
cord-348010-m3a3utvz	91	17	books	book	NNS
cord-348010-m3a3utvz	91	18	by	by	IN
cord-348010-m3a3utvz	91	19	[	[	-LRB-
cord-348010-m3a3utvz	91	20	20	20	CD
cord-348010-m3a3utvz	91	21	]	]	-RRB-
cord-348010-m3a3utvz	91	22	and	and	CC
cord-348010-m3a3utvz	91	23	by	by	IN
cord-348010-m3a3utvz	91	24	[	[	-LRB-
cord-348010-m3a3utvz	91	25	18	18	CD
cord-348010-m3a3utvz	91	26	]	]	-RRB-
cord-348010-m3a3utvz	91	27	,	,	,
cord-348010-m3a3utvz	91	28	Ch	Ch	NNP
cord-348010-m3a3utvz	91	29	.	.	NNP
cord-348010-m3a3utvz	91	30	5	5	CD
cord-348010-m3a3utvz	91	31	.	.	.
cord-348010-m3a3utvz	92	1	Concerning	concern	VBG
cord-348010-m3a3utvz	92	2	epidemiological	epidemiological	JJ
cord-348010-m3a3utvz	92	3	issues	issue	NNS
cord-348010-m3a3utvz	92	4	,	,	,
cord-348010-m3a3utvz	92	5	we	-PRON-	PRP
cord-348010-m3a3utvz	92	6	only	only	RB
cord-348010-m3a3utvz	92	7	go	go	VBP
cord-348010-m3a3utvz	92	8	into	into	IN
cord-348010-m3a3utvz	92	9	details	detail	NNS
cord-348010-m3a3utvz	92	10	,	,	,
cord-348010-m3a3utvz	92	11	if	if	IN
cord-348010-m3a3utvz	92	12	this	this	DT
cord-348010-m3a3utvz	92	13	seems	seem	VBZ
cord-348010-m3a3utvz	92	14	to	to	TO
cord-348010-m3a3utvz	92	15	be	be	VB
cord-348010-m3a3utvz	92	16	necessary	necessary	JJ
cord-348010-m3a3utvz	92	17	for	for	IN
cord-348010-m3a3utvz	92	18	general	general	JJ
cord-348010-m3a3utvz	92	19	understanding	understanding	NN
cord-348010-m3a3utvz	92	20	.	.	.
cord-348010-m3a3utvz	93	1	At	at	IN
cord-348010-m3a3utvz	93	2	some	some	DT
cord-348010-m3a3utvz	93	3	places	place	NNS
cord-348010-m3a3utvz	93	4	,	,	,
cord-348010-m3a3utvz	93	5	we	-PRON-	PRP
cord-348010-m3a3utvz	93	6	refer	refer	VBP
cord-348010-m3a3utvz	93	7	to	to	IN
cord-348010-m3a3utvz	93	8	current	current	JJ
cord-348010-m3a3utvz	93	9	findings	finding	NNS
cord-348010-m3a3utvz	93	10	related	relate	VBN
cord-348010-m3a3utvz	93	11	to	to	IN
cord-348010-m3a3utvz	93	12	SARS	SARS	NNP
cord-348010-m3a3utvz	93	13	-	-	HYPH
cord-348010-m3a3utvz	93	14	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	93	15	.	.	.
cord-348010-m3a3utvz	94	1	This	this	DT
cord-348010-m3a3utvz	94	2	allows	allow	VBZ
cord-348010-m3a3utvz	94	3	a	a	DT
cord-348010-m3a3utvz	94	4	reasonable	reasonable	JJ
cord-348010-m3a3utvz	94	5	selection	selection	NN
cord-348010-m3a3utvz	94	6	of	of	IN
cord-348010-m3a3utvz	94	7	modelling	model	VBG
cord-348010-m3a3utvz	94	8	steps	step	NNS
cord-348010-m3a3utvz	94	9	in	in	IN
cord-348010-m3a3utvz	94	10	order	order	NN
cord-348010-m3a3utvz	94	11	to	to	TO
cord-348010-m3a3utvz	94	12	develop	develop	VB
cord-348010-m3a3utvz	94	13	a	a	DT
cord-348010-m3a3utvz	94	14	basic	basic	JJ
cord-348010-m3a3utvz	94	15	model	model	NN
cord-348010-m3a3utvz	94	16	for	for	IN
cord-348010-m3a3utvz	94	17	the	the	DT
cord-348010-m3a3utvz	94	18	spread	spread	NN
cord-348010-m3a3utvz	94	19	of	of	IN
cord-348010-m3a3utvz	94	20	SARS	SARS	NNP
cord-348010-m3a3utvz	94	21	-	-	HYPH
cord-348010-m3a3utvz	94	22	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	94	23	in	in	IN
cord-348010-m3a3utvz	94	24	Section	section	NN
cord-348010-m3a3utvz	94	25	3	3	CD
cord-348010-m3a3utvz	94	26	.	.	.
cord-348010-m3a3utvz	95	1	We	-PRON-	PRP
cord-348010-m3a3utvz	95	2	provide	provide	VBP
cord-348010-m3a3utvz	95	3	some	some	DT
cord-348010-m3a3utvz	95	4	useful	useful	JJ
cord-348010-m3a3utvz	95	5	definitions	definition	NNS
cord-348010-m3a3utvz	95	6	and	and	CC
cord-348010-m3a3utvz	95	7	explications	explication	NNS
cord-348010-m3a3utvz	95	8	,	,	,
cord-348010-m3a3utvz	95	9	other	other	JJ
cord-348010-m3a3utvz	95	10	ones	one	NNS
cord-348010-m3a3utvz	95	11	will	will	MD
cord-348010-m3a3utvz	95	12	be	be	VB
cord-348010-m3a3utvz	95	13	introduced	introduce	VBN
cord-348010-m3a3utvz	95	14	later	later	RB
cord-348010-m3a3utvz	95	15	.	.	.
cord-348010-m3a3utvz	96	1	Thus	thus	RB
cord-348010-m3a3utvz	96	2	,	,	,
cord-348010-m3a3utvz	96	3	misunderstandings	misunderstanding	NNS
cord-348010-m3a3utvz	96	4	can	can	MD
cord-348010-m3a3utvz	96	5	be	be	VB
cord-348010-m3a3utvz	96	6	excluded	exclude	VBN
cord-348010-m3a3utvz	96	7	,	,	,
cord-348010-m3a3utvz	96	8	and	and	CC
cord-348010-m3a3utvz	96	9	we	-PRON-	PRP
cord-348010-m3a3utvz	96	10	can	can	MD
cord-348010-m3a3utvz	96	11	limit	limit	VB
cord-348010-m3a3utvz	96	12	the	the	DT
cord-348010-m3a3utvz	96	13	frame	frame	NN
cord-348010-m3a3utvz	96	14	of	of	IN
cord-348010-m3a3utvz	96	15	our	-PRON-	PRP$
cord-348010-m3a3utvz	96	16	study	study	NN
cord-348010-m3a3utvz	96	17	.	.	.
cord-348010-m3a3utvz	97	1	We	-PRON-	PRP
cord-348010-m3a3utvz	97	2	follow	follow	VBP
cord-348010-m3a3utvz	97	3	approximately	approximately	RB
cord-348010-m3a3utvz	97	4	[	[	-LRB-
cord-348010-m3a3utvz	97	5	20	20	CD
cord-348010-m3a3utvz	97	6	]	]	-RRB-
cord-348010-m3a3utvz	97	7	,	,	,
cord-348010-m3a3utvz	97	8	pp	pp	NNP
cord-348010-m3a3utvz	97	9	.	.	.
cord-348010-m3a3utvz	98	1	xxi	xxi	NNP
cord-348010-m3a3utvz	98	2	-	-	HYPH
cord-348010-m3a3utvz	98	3	xxvi	xxvi	NNP
cord-348010-m3a3utvz	98	4	,	,	,
cord-348010-m3a3utvz	98	5	and	and	CC
cord-348010-m3a3utvz	98	6	Ch	Ch	NNP
cord-348010-m3a3utvz	98	7	.	.	.
cord-348010-m3a3utvz	99	1	1	1	LS
cord-348010-m3a3utvz	99	2	.	.	.
cord-348010-m3a3utvz	100	1	An	an	DT
cord-348010-m3a3utvz	100	2	infection	infection	NN
cord-348010-m3a3utvz	100	3	is	be	VBZ
cord-348010-m3a3utvz	100	4	understood	understand	VBN
cord-348010-m3a3utvz	100	5	as	as	IN
cord-348010-m3a3utvz	100	6	the	the	DT
cord-348010-m3a3utvz	100	7	invasion	invasion	NN
cord-348010-m3a3utvz	100	8	of	of	IN
cord-348010-m3a3utvz	100	9	one	one	CD
cord-348010-m3a3utvz	100	10	organism	organism	NN
cord-348010-m3a3utvz	100	11	by	by	IN
cord-348010-m3a3utvz	100	12	a	a	DT
cord-348010-m3a3utvz	100	13	smaller	small	JJR
cord-348010-m3a3utvz	100	14	one	one	CD
cord-348010-m3a3utvz	100	15	(	(	-LRB-
cord-348010-m3a3utvz	100	16	infecting	infect	VBG
cord-348010-m3a3utvz	100	17	organism	organism	NN
cord-348010-m3a3utvz	100	18	)	)	-RRB-
cord-348010-m3a3utvz	100	19	.	.	.
cord-348010-m3a3utvz	101	1	If	if	IN
cord-348010-m3a3utvz	101	2	the	the	DT
cord-348010-m3a3utvz	101	3	latter	latter	NN
cord-348010-m3a3utvz	101	4	is	be	VBZ
cord-348010-m3a3utvz	101	5	not	not	RB
cord-348010-m3a3utvz	101	6	harmful	harmful	JJ
cord-348010-m3a3utvz	101	7	,	,	,
cord-348010-m3a3utvz	101	8	it	-PRON-	PRP
cord-348010-m3a3utvz	101	9	is	be	VBZ
cord-348010-m3a3utvz	101	10	called	call	VBN
cord-348010-m3a3utvz	101	11	pathogenic	pathogenic	JJ
cord-348010-m3a3utvz	101	12	agent	agent	NN
cord-348010-m3a3utvz	101	13	or	or	CC
cord-348010-m3a3utvz	101	14	pathogen	pathogen	NN
cord-348010-m3a3utvz	101	15	and	and	CC
cord-348010-m3a3utvz	101	16	can	can	MD
cord-348010-m3a3utvz	101	17	cause	cause	VB
cord-348010-m3a3utvz	101	18	an	an	DT
cord-348010-m3a3utvz	101	19	infectious	infectious	JJ
cord-348010-m3a3utvz	101	20	disease	disease	NN
cord-348010-m3a3utvz	101	21	.	.	.
cord-348010-m3a3utvz	102	1	We	-PRON-	PRP
cord-348010-m3a3utvz	102	2	only	only	RB
cord-348010-m3a3utvz	102	3	consider	consider	VBP
cord-348010-m3a3utvz	102	4	microscopic	microscopic	JJ
cord-348010-m3a3utvz	102	5	pathogens	pathogen	NNS
cord-348010-m3a3utvz	102	6	(	(	-LRB-
cord-348010-m3a3utvz	102	7	viruses	virus	NNS
cord-348010-m3a3utvz	102	8	,	,	,
cord-348010-m3a3utvz	102	9	bacteria	bacteria	NNS
cord-348010-m3a3utvz	102	10	,	,	,
cord-348010-m3a3utvz	102	11	protozoa	protozoan	NNS
cord-348010-m3a3utvz	102	12	)	)	-RRB-
cord-348010-m3a3utvz	102	13	as	as	RB
cord-348010-m3a3utvz	102	14	well	well	RB
cord-348010-m3a3utvz	102	15	as	as	IN
cord-348010-m3a3utvz	102	16	infections	infection	NNS
cord-348010-m3a3utvz	102	17	in	in	IN
cord-348010-m3a3utvz	102	18	human	human	JJ
cord-348010-m3a3utvz	102	19	communities	community	NNS
cord-348010-m3a3utvz	102	20	.	.	.
cord-348010-m3a3utvz	103	1	The	the	DT
cord-348010-m3a3utvz	103	2	majority	majority	NN
cord-348010-m3a3utvz	103	3	of	of	IN
cord-348010-m3a3utvz	103	4	pathogens	pathogen	NNS
cord-348010-m3a3utvz	103	5	effecting	effect	VBG
cord-348010-m3a3utvz	103	6	humans	human	NNS
cord-348010-m3a3utvz	103	7	live	live	VBP
cord-348010-m3a3utvz	103	8	only	only	RB
cord-348010-m3a3utvz	103	9	in	in	IN
cord-348010-m3a3utvz	103	10	humans	human	NNS
cord-348010-m3a3utvz	103	11	or	or	CC
cord-348010-m3a3utvz	103	12	vertebrate	vertebrate	JJ
cord-348010-m3a3utvz	103	13	animals	animal	NNS
cord-348010-m3a3utvz	103	14	,	,	,
cord-348010-m3a3utvz	103	15	their	-PRON-	PRP$
cord-348010-m3a3utvz	103	16	transmission	transmission	NN
cord-348010-m3a3utvz	103	17	from	from	IN
cord-348010-m3a3utvz	103	18	one	one	CD
cord-348010-m3a3utvz	103	19	to	to	IN
cord-348010-m3a3utvz	103	20	another	another	DT
cord-348010-m3a3utvz	103	21	host	host	NN
cord-348010-m3a3utvz	103	22	occurs	occur	VBZ
cord-348010-m3a3utvz	103	23	in	in	IN
cord-348010-m3a3utvz	103	24	a	a	DT
cord-348010-m3a3utvz	103	25	variety	variety	NN
cord-348010-m3a3utvz	103	26	of	of	IN
cord-348010-m3a3utvz	103	27	ways	way	NNS
cord-348010-m3a3utvz	103	28	:	:	:
cord-348010-m3a3utvz	103	29	(	(	-LRB-
cord-348010-m3a3utvz	103	30	i	i	NN
cord-348010-m3a3utvz	103	31	)	)	-RRB-
cord-348010-m3a3utvz	103	32	by	by	IN
cord-348010-m3a3utvz	103	33	direct	direct	JJ
cord-348010-m3a3utvz	103	34	contact	contact	NN
cord-348010-m3a3utvz	103	35	(	(	-LRB-
cord-348010-m3a3utvz	103	36	leprosy	leprosy	NN
cord-348010-m3a3utvz	103	37	,	,	,
cord-348010-m3a3utvz	103	38	e.g.	e.g.	RB
cord-348010-m3a3utvz	103	39	)	)	-RRB-
cord-348010-m3a3utvz	103	40	,	,	.
cord-348010-m3a3utvz	104	1	(	(	-LRB-
cord-348010-m3a3utvz	104	2	ii	ii	NN
cord-348010-m3a3utvz	104	3	)	)	-RRB-
cord-348010-m3a3utvz	105	1	via	via	IN
cord-348010-m3a3utvz	105	2	the	the	DT
cord-348010-m3a3utvz	105	3	respiratory	respiratory	JJ
cord-348010-m3a3utvz	105	4	route	route	NN
cord-348010-m3a3utvz	105	5	(	(	-LRB-
cord-348010-m3a3utvz	105	6	influenza	influenza	NN
cord-348010-m3a3utvz	105	7	,	,	,
cord-348010-m3a3utvz	105	8	SARS	SARS	NNP
cord-348010-m3a3utvz	105	9	-	-	HYPH
cord-348010-m3a3utvz	105	10	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	105	11	,	,	,
cord-348010-m3a3utvz	105	12	e.g.	e.g.	RB
cord-348010-m3a3utvz	105	13	)	)	-RRB-
cord-348010-m3a3utvz	105	14	,	,	,
cord-348010-m3a3utvz	105	15	(	(	-LRB-
cord-348010-m3a3utvz	105	16	iii	iii	NN
cord-348010-m3a3utvz	105	17	)	)	-RRB-
cord-348010-m3a3utvz	105	18	via	via	IN
cord-348010-m3a3utvz	105	19	the	the	DT
cord-348010-m3a3utvz	105	20	faecal	faecal	JJ
cord-348010-m3a3utvz	105	21	-	-	HYPH
cord-348010-m3a3utvz	105	22	oral	oral	JJ
cord-348010-m3a3utvz	105	23	route	route	NN
cord-348010-m3a3utvz	105	24	(	(	-LRB-
cord-348010-m3a3utvz	105	25	dysentery	dysentery	NN
cord-348010-m3a3utvz	105	26	,	,	,
cord-348010-m3a3utvz	105	27	e.g.	e.g.	RB
cord-348010-m3a3utvz	105	28	)	)	-RRB-
cord-348010-m3a3utvz	105	29	,	,	,
cord-348010-m3a3utvz	105	30	(	(	-LRB-
cord-348010-m3a3utvz	105	31	iv	iv	LS
cord-348010-m3a3utvz	105	32	)	)	-RRB-
cord-348010-m3a3utvz	105	33	by	by	IN
cord-348010-m3a3utvz	105	34	sexual	sexual	JJ
cord-348010-m3a3utvz	105	35	contact	contact	NN
cord-348010-m3a3utvz	105	36	(	(	-LRB-
cord-348010-m3a3utvz	105	37	HIV	HIV	NNP
cord-348010-m3a3utvz	105	38	,	,	,
cord-348010-m3a3utvz	105	39	gonorrhoea	gonorrhoea	NN
cord-348010-m3a3utvz	105	40	,	,	,
cord-348010-m3a3utvz	105	41	e.g.	e.g.	RB
cord-348010-m3a3utvz	105	42	)	)	-RRB-
cord-348010-m3a3utvz	106	1	(	(	-LRB-
cord-348010-m3a3utvz	106	2	v	v	LS
cord-348010-m3a3utvz	106	3	)	)	-RRB-
cord-348010-m3a3utvz	106	4	by	by	IN
cord-348010-m3a3utvz	106	5	contacts	contact	NNS
cord-348010-m3a3utvz	106	6	with	with	IN
cord-348010-m3a3utvz	106	7	insects	insect	NNS
cord-348010-m3a3utvz	106	8	(	(	-LRB-
cord-348010-m3a3utvz	106	9	vector	vector	NN
cord-348010-m3a3utvz	106	10	-	-	HYPH
cord-348010-m3a3utvz	106	11	borne	bear	VBN
cord-348010-m3a3utvz	106	12	infection	infection	NN
cord-348010-m3a3utvz	106	13	)	)	-RRB-
cord-348010-m3a3utvz	107	1	(	(	-LRB-
cord-348010-m3a3utvz	107	2	malaria	malaria	NN
cord-348010-m3a3utvz	107	3	,	,	.
cord-348010-m3a3utvz	108	1	e.g.	e.g.	RB
cord-348010-m3a3utvz	108	2	)	)	-RRB-
cord-348010-m3a3utvz	108	3	We	-PRON-	PRP
cord-348010-m3a3utvz	108	4	note	note	VBP
cord-348010-m3a3utvz	108	5	that	that	IN
cord-348010-m3a3utvz	108	6	sexually	sexually	RB
cord-348010-m3a3utvz	108	7	transmitted	transmit	VBN
cord-348010-m3a3utvz	108	8	diseases	disease	NNS
cord-348010-m3a3utvz	108	9	require	require	VBP
cord-348010-m3a3utvz	108	10	a	a	DT
cord-348010-m3a3utvz	108	11	special	special	JJ
cord-348010-m3a3utvz	108	12	modelling	modelling	NN
cord-348010-m3a3utvz	108	13	,	,	,
cord-348010-m3a3utvz	108	14	since	since	IN
cord-348010-m3a3utvz	108	15	not	not	RB
cord-348010-m3a3utvz	108	16	all	all	DT
cord-348010-m3a3utvz	108	17	parts	part	NNS
cord-348010-m3a3utvz	108	18	of	of	IN
cord-348010-m3a3utvz	108	19	the	the	DT
cord-348010-m3a3utvz	108	20	population	population	NN
cord-348010-m3a3utvz	108	21	have	have	VBP
cord-348010-m3a3utvz	108	22	nearly	nearly	RB
cord-348010-m3a3utvz	108	23	the	the	DT
cord-348010-m3a3utvz	108	24	same	same	JJ
cord-348010-m3a3utvz	108	25	sexual	sexual	JJ
cord-348010-m3a3utvz	108	26	activity	activity	NN
cord-348010-m3a3utvz	108	27	.	.	.
cord-348010-m3a3utvz	109	1	This	this	DT
cord-348010-m3a3utvz	109	2	is	be	VBZ
cord-348010-m3a3utvz	109	3	not	not	RB
cord-348010-m3a3utvz	109	4	in	in	IN
cord-348010-m3a3utvz	109	5	the	the	DT
cord-348010-m3a3utvz	109	6	focus	focus	NN
cord-348010-m3a3utvz	109	7	here	here	RB
cord-348010-m3a3utvz	109	8	.	.	.
cord-348010-m3a3utvz	110	1	Moreover	moreover	RB
cord-348010-m3a3utvz	110	2	,	,	,
cord-348010-m3a3utvz	110	3	the	the	DT
cord-348010-m3a3utvz	110	4	modelling	modelling	NN
cord-348010-m3a3utvz	110	5	of	of	IN
cord-348010-m3a3utvz	110	6	HIV	HIV	NNP
cord-348010-m3a3utvz	110	7	/	/	SYM
cord-348010-m3a3utvz	110	8	AIDS	AIDS	NNP
cord-348010-m3a3utvz	110	9	contains	contain	VBZ
cord-348010-m3a3utvz	110	10	special	special	JJ
cord-348010-m3a3utvz	110	11	features	feature	NNS
cord-348010-m3a3utvz	110	12	,	,	,
cord-348010-m3a3utvz	110	13	we	-PRON-	PRP
cord-348010-m3a3utvz	110	14	refer	refer	VBP
cord-348010-m3a3utvz	110	15	to	to	IN
cord-348010-m3a3utvz	110	16	[	[	-LRB-
cord-348010-m3a3utvz	110	17	20	20	CD
cord-348010-m3a3utvz	110	18	]	]	-RRB-
cord-348010-m3a3utvz	110	19	,	,	,
cord-348010-m3a3utvz	110	20	Ch	Ch	NNP
cord-348010-m3a3utvz	110	21	.	.	.
cord-348010-m3a3utvz	111	1	8	8	CD
cord-348010-m3a3utvz	111	2	and	and	CC
cord-348010-m3a3utvz	111	3	9.4	9.4	CD
cord-348010-m3a3utvz	111	4	-	-	SYM
cord-348010-m3a3utvz	111	5	9.6	9.6	CD
cord-348010-m3a3utvz	111	6	,	,	,
cord-348010-m3a3utvz	111	7	to	to	IN
cord-348010-m3a3utvz	111	8	[	[	-LRB-
cord-348010-m3a3utvz	111	9	31	31	CD
cord-348010-m3a3utvz	111	10	]	]	-RRB-
cord-348010-m3a3utvz	111	11	and	and	CC
cord-348010-m3a3utvz	111	12	to	to	IN
cord-348010-m3a3utvz	111	13	the	the	DT
cord-348010-m3a3utvz	111	14	references	reference	NNS
cord-348010-m3a3utvz	111	15	cited	cite	VBN
cord-348010-m3a3utvz	111	16	therein	therein	RB
cord-348010-m3a3utvz	111	17	.	.	.
cord-348010-m3a3utvz	112	1	In	in	IN
cord-348010-m3a3utvz	112	2	order	order	NN
cord-348010-m3a3utvz	112	3	to	to	TO
cord-348010-m3a3utvz	112	4	model	model	VB
cord-348010-m3a3utvz	112	5	the	the	DT
cord-348010-m3a3utvz	112	6	spread	spread	NN
cord-348010-m3a3utvz	112	7	of	of	IN
cord-348010-m3a3utvz	112	8	infectious	infectious	JJ
cord-348010-m3a3utvz	112	9	diseases	disease	NNS
cord-348010-m3a3utvz	112	10	the	the	DT
cord-348010-m3a3utvz	112	11	term	term	NN
cord-348010-m3a3utvz	112	12	contact	contact	NN
cord-348010-m3a3utvz	112	13	needs	need	VBZ
cord-348010-m3a3utvz	112	14	more	more	JJR
cord-348010-m3a3utvz	112	15	explication	explication	NN
cord-348010-m3a3utvz	112	16	.	.	.
cord-348010-m3a3utvz	113	1	Clearly	clearly	RB
cord-348010-m3a3utvz	113	2	,	,	,
cord-348010-m3a3utvz	113	3	each	each	DT
cord-348010-m3a3utvz	113	4	contact	contact	NN
cord-348010-m3a3utvz	113	5	between	between	IN
cord-348010-m3a3utvz	113	6	two	two	CD
cord-348010-m3a3utvz	113	7	individuals	individual	NNS
cord-348010-m3a3utvz	113	8	is	be	VBZ
cord-348010-m3a3utvz	113	9	a	a	DT
cord-348010-m3a3utvz	113	10	singular	singular	JJ
cord-348010-m3a3utvz	113	11	event	event	NN
cord-348010-m3a3utvz	113	12	.	.	.
cord-348010-m3a3utvz	114	1	A	a	DT
cord-348010-m3a3utvz	114	2	pathogen	pathogen	NN
cord-348010-m3a3utvz	114	3	can	can	MD
cord-348010-m3a3utvz	114	4	be	be	VB
cord-348010-m3a3utvz	114	5	transmitted	transmit	VBN
cord-348010-m3a3utvz	114	6	or	or	CC
cord-348010-m3a3utvz	114	7	not	not	RB
cord-348010-m3a3utvz	114	8	.	.	.
cord-348010-m3a3utvz	115	1	Moreover	moreover	RB
cord-348010-m3a3utvz	115	2	,	,	,
cord-348010-m3a3utvz	115	3	depending	depend	VBG
cord-348010-m3a3utvz	115	4	on	on	IN
cord-348010-m3a3utvz	115	5	the	the	DT
cord-348010-m3a3utvz	115	6	individuals	individual	NNS
cord-348010-m3a3utvz	115	7	,	,	,
cord-348010-m3a3utvz	115	8	a	a	DT
cord-348010-m3a3utvz	115	9	formally	formally	RB
cord-348010-m3a3utvz	115	10	equal	equal	JJ
cord-348010-m3a3utvz	115	11	contact	contact	NN
cord-348010-m3a3utvz	115	12	can	can	MD
cord-348010-m3a3utvz	115	13	lead	lead	VB
cord-348010-m3a3utvz	115	14	to	to	IN
cord-348010-m3a3utvz	115	15	a	a	DT
cord-348010-m3a3utvz	115	16	transmission	transmission	NN
cord-348010-m3a3utvz	115	17	or	or	CC
cord-348010-m3a3utvz	115	18	not	not	RB
cord-348010-m3a3utvz	115	19	.	.	.
cord-348010-m3a3utvz	116	1	Thus	thus	RB
cord-348010-m3a3utvz	116	2	,	,	,
cord-348010-m3a3utvz	116	3	for	for	IN
cord-348010-m3a3utvz	116	4	a	a	DT
cord-348010-m3a3utvz	116	5	suitable	suitable	JJ
cord-348010-m3a3utvz	116	6	modelling	modelling	NN
cord-348010-m3a3utvz	116	7	generalisation	generalisation	NN
cord-348010-m3a3utvz	116	8	and	and	CC
cord-348010-m3a3utvz	116	9	averaging	averaging	NN
cord-348010-m3a3utvz	116	10	are	be	VBP
cord-348010-m3a3utvz	116	11	required	require	VBN
cord-348010-m3a3utvz	116	12	.	.	.
cord-348010-m3a3utvz	117	1	For	for	IN
cord-348010-m3a3utvz	117	2	this	this	DT
cord-348010-m3a3utvz	117	3	reason	reason	NN
cord-348010-m3a3utvz	117	4	,	,	,
cord-348010-m3a3utvz	117	5	the	the	DT
cord-348010-m3a3utvz	117	6	concepts	concept	NNS
cord-348010-m3a3utvz	117	7	of	of	IN
cord-348010-m3a3utvz	117	8	an	an	DT
cord-348010-m3a3utvz	117	9	adequate	adequate	JJ
cord-348010-m3a3utvz	117	10	contact	contact	NN
cord-348010-m3a3utvz	117	11	,	,	,
cord-348010-m3a3utvz	117	12	contact	contact	NN
cord-348010-m3a3utvz	117	13	and	and	CC
cord-348010-m3a3utvz	117	14	reproduction	reproduction	NN
cord-348010-m3a3utvz	117	15	numbers	number	NNS
cord-348010-m3a3utvz	117	16	were	be	VBD
cord-348010-m3a3utvz	117	17	introduced	introduce	VBN
cord-348010-m3a3utvz	117	18	.	.	.
cord-348010-m3a3utvz	118	1	Definition	Definition	NNP
cord-348010-m3a3utvz	118	2	2.1	2.1	CD
cord-348010-m3a3utvz	118	3	.	.	.
cord-348010-m3a3utvz	119	1	(	(	-LRB-
cord-348010-m3a3utvz	119	2	Adequate	adequate	JJ
cord-348010-m3a3utvz	119	3	contacts	contact	NNS
cord-348010-m3a3utvz	119	4	,	,	,
cord-348010-m3a3utvz	119	5	reproduction	reproduction	NN
cord-348010-m3a3utvz	119	6	and	and	CC
cord-348010-m3a3utvz	119	7	contact	contact	NN
cord-348010-m3a3utvz	119	8	numbers	number	NNS
cord-348010-m3a3utvz	119	9	)	)	-RRB-
cord-348010-m3a3utvz	120	1	(	(	-LRB-
cord-348010-m3a3utvz	120	2	i	i	NN
cord-348010-m3a3utvz	120	3	)	)	-RRB-
cord-348010-m3a3utvz	121	1	A	a	DT
cord-348010-m3a3utvz	121	2	contact	contact	NN
cord-348010-m3a3utvz	121	3	is	be	VBZ
cord-348010-m3a3utvz	121	4	called	call	VBN
cord-348010-m3a3utvz	121	5	adequate	adequate	JJ
cord-348010-m3a3utvz	121	6	(	(	-LRB-
cord-348010-m3a3utvz	121	7	also	also	RB
cord-348010-m3a3utvz	121	8	effective	effective	JJ
cord-348010-m3a3utvz	121	9	)	)	-RRB-
cord-348010-m3a3utvz	121	10	,	,	,
cord-348010-m3a3utvz	121	11	if	if	IN
cord-348010-m3a3utvz	121	12	it	-PRON-	PRP
cord-348010-m3a3utvz	121	13	leads	lead	VBZ
cord-348010-m3a3utvz	121	14	to	to	IN
cord-348010-m3a3utvz	121	15	a	a	DT
cord-348010-m3a3utvz	121	16	transmission	transmission	NN
cord-348010-m3a3utvz	121	17	of	of	IN
cord-348010-m3a3utvz	121	18	the	the	DT
cord-348010-m3a3utvz	121	19	pathogen	pathogen	NN
cord-348010-m3a3utvz	121	20	from	from	IN
cord-348010-m3a3utvz	121	21	an	an	DT
cord-348010-m3a3utvz	121	22	infectious	infectious	JJ
cord-348010-m3a3utvz	121	23	person	person	NN
cord-348010-m3a3utvz	121	24	to	to	IN
cord-348010-m3a3utvz	121	25	another	another	DT
cord-348010-m3a3utvz	121	26	one	one	NN
cord-348010-m3a3utvz	121	27	,	,	,
cord-348010-m3a3utvz	121	28	and	and	CC
cord-348010-m3a3utvz	121	29	,	,	,
cord-348010-m3a3utvz	121	30	if	if	IN
cord-348010-m3a3utvz	121	31	the	the	DT
cord-348010-m3a3utvz	121	32	affected	affected	JJ
cord-348010-m3a3utvz	121	33	individual	individual	NN
cord-348010-m3a3utvz	121	34	is	be	VBZ
cord-348010-m3a3utvz	121	35	susceptible	susceptible	JJ
cord-348010-m3a3utvz	121	36	,	,	,
cord-348010-m3a3utvz	121	37	then	then	RB
cord-348010-m3a3utvz	121	38	an	an	DT
cord-348010-m3a3utvz	121	39	infection	infection	NN
cord-348010-m3a3utvz	121	40	is	be	VBZ
cord-348010-m3a3utvz	121	41	provoked	provoke	VBN
cord-348010-m3a3utvz	121	42	.	.	.
cord-348010-m3a3utvz	122	1	(	(	-LRB-
cord-348010-m3a3utvz	122	2	ii	ii	NN
cord-348010-m3a3utvz	122	3	)	)	-RRB-
cord-348010-m3a3utvz	123	1	The	the	DT
cord-348010-m3a3utvz	123	2	basic	basic	JJ
cord-348010-m3a3utvz	123	3	reproduction	reproduction	NN
cord-348010-m3a3utvz	123	4	number	number	NN
cord-348010-m3a3utvz	123	5	0	0	NFP
cord-348010-m3a3utvz	123	6	is	be	VBZ
cord-348010-m3a3utvz	123	7	the	the	DT
cord-348010-m3a3utvz	123	8	average	average	JJ
cord-348010-m3a3utvz	123	9	number	number	NN
cord-348010-m3a3utvz	123	10	of	of	IN
cord-348010-m3a3utvz	123	11	adequate	adequate	JJ
cord-348010-m3a3utvz	123	12	contacts	contact	NNS
cord-348010-m3a3utvz	123	13	of	of	IN
cord-348010-m3a3utvz	123	14	an	an	DT
cord-348010-m3a3utvz	123	15	infectious	infectious	JJ
cord-348010-m3a3utvz	123	16	individual	individual	NN
cord-348010-m3a3utvz	123	17	during	during	IN
cord-348010-m3a3utvz	123	18	its	-PRON-	PRP$
cord-348010-m3a3utvz	123	19	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	123	20	,	,	,
cord-348010-m3a3utvz	123	21	if	if	IN
cord-348010-m3a3utvz	123	22	it	-PRON-	PRP
cord-348010-m3a3utvz	123	23	is	be	VBZ
cord-348010-m3a3utvz	123	24	introduced	introduce	VBN
cord-348010-m3a3utvz	123	25	into	into	IN
cord-348010-m3a3utvz	123	26	a	a	DT
cord-348010-m3a3utvz	123	27	host	host	NN
cord-348010-m3a3utvz	123	28	population	population	NN
cord-348010-m3a3utvz	123	29	where	where	WRB
cord-348010-m3a3utvz	123	30	everyone	everyone	NN
cord-348010-m3a3utvz	123	31	is	be	VBZ
cord-348010-m3a3utvz	123	32	susceptible	susceptible	JJ
cord-348010-m3a3utvz	123	33	.	.	.
cord-348010-m3a3utvz	124	1	(	(	-LRB-
cord-348010-m3a3utvz	124	2	iii	iii	NN
cord-348010-m3a3utvz	124	3	)	)	-RRB-
cord-348010-m3a3utvz	125	1	The	the	DT
cord-348010-m3a3utvz	125	2	contact	contact	NN
cord-348010-m3a3utvz	125	3	number	number	NN
cord-348010-m3a3utvz	125	4	is	be	VBZ
cord-348010-m3a3utvz	125	5	the	the	DT
cord-348010-m3a3utvz	125	6	average	average	JJ
cord-348010-m3a3utvz	125	7	number	number	NN
cord-348010-m3a3utvz	125	8	of	of	IN
cord-348010-m3a3utvz	125	9	adequate	adequate	JJ
cord-348010-m3a3utvz	125	10	contacts	contact	NNS
cord-348010-m3a3utvz	125	11	of	of	IN
cord-348010-m3a3utvz	125	12	a	a	DT
cord-348010-m3a3utvz	125	13	typical	typical	JJ
cord-348010-m3a3utvz	125	14	infectious	infectious	JJ
cord-348010-m3a3utvz	125	15	person	person	NN
cord-348010-m3a3utvz	125	16	during	during	IN
cord-348010-m3a3utvz	125	17	its	-PRON-	PRP$
cord-348010-m3a3utvz	125	18	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	125	19	with	with	IN
cord-348010-m3a3utvz	125	20	all	all	DT
cord-348010-m3a3utvz	125	21	persons	person	NNS
cord-348010-m3a3utvz	125	22	.	.	.
cord-348010-m3a3utvz	126	1	(	(	-LRB-
cord-348010-m3a3utvz	126	2	iv	iv	LS
cord-348010-m3a3utvz	126	3	)	)	-RRB-
cord-348010-m3a3utvz	127	1	The	the	DT
cord-348010-m3a3utvz	127	2	replacement	replacement	NN
cord-348010-m3a3utvz	127	3	number	number	NN
cord-348010-m3a3utvz	127	4	(	(	-LRB-
cord-348010-m3a3utvz	127	5	also	also	RB
cord-348010-m3a3utvz	127	6	called	call	VBN
cord-348010-m3a3utvz	127	7	reproduction	reproduction	NN
cord-348010-m3a3utvz	127	8	number	number	NN
cord-348010-m3a3utvz	127	9	)	)	-RRB-
cord-348010-m3a3utvz	127	10	is	be	VBZ
cord-348010-m3a3utvz	127	11	the	the	DT
cord-348010-m3a3utvz	127	12	average	average	JJ
cord-348010-m3a3utvz	127	13	number	number	NN
cord-348010-m3a3utvz	127	14	of	of	IN
cord-348010-m3a3utvz	127	15	adequate	adequate	JJ
cord-348010-m3a3utvz	127	16	contacts	contact	NNS
cord-348010-m3a3utvz	127	17	of	of	IN
cord-348010-m3a3utvz	127	18	an	an	DT
cord-348010-m3a3utvz	127	19	infectious	infectious	JJ
cord-348010-m3a3utvz	127	20	individual	individual	NN
cord-348010-m3a3utvz	127	21	during	during	IN
cord-348010-m3a3utvz	127	22	its	-PRON-	PRP$
cord-348010-m3a3utvz	127	23	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	127	24	with	with	IN
cord-348010-m3a3utvz	127	25	only	only	JJ
cord-348010-m3a3utvz	127	26	susceptible	susceptible	JJ
cord-348010-m3a3utvz	127	27	persons	person	NNS
cord-348010-m3a3utvz	127	28	.	.	.
cord-348010-m3a3utvz	128	1	Here	here	RB
cord-348010-m3a3utvz	128	2	we	-PRON-	PRP
cord-348010-m3a3utvz	128	3	use	use	VBP
cord-348010-m3a3utvz	128	4	the	the	DT
cord-348010-m3a3utvz	128	5	letter	letter	NN
cord-348010-m3a3utvz	128	6	instead	instead	RB
cord-348010-m3a3utvz	128	7	of	of	IN
cord-348010-m3a3utvz	128	8	like	like	UH
cord-348010-m3a3utvz	128	9	in	in	IN
cord-348010-m3a3utvz	128	10	[	[	-LRB-
cord-348010-m3a3utvz	128	11	16	16	CD
cord-348010-m3a3utvz	128	12	,	,	,
cord-348010-m3a3utvz	128	13	20	20	CD
cord-348010-m3a3utvz	128	14	]	]	-RRB-
cord-348010-m3a3utvz	128	15	,	,	,
cord-348010-m3a3utvz	128	16	to	to	TO
cord-348010-m3a3utvz	128	17	avoid	avoid	VB
cord-348010-m3a3utvz	128	18	confusion	confusion	NN
cord-348010-m3a3utvz	128	19	with	with	IN
cord-348010-m3a3utvz	128	20	the	the	DT
cord-348010-m3a3utvz	128	21	number	number	NN
cord-348010-m3a3utvz	128	22	of	of	IN
cord-348010-m3a3utvz	128	23	recovered	recover	VBN
cord-348010-m3a3utvz	128	24	persons	person	NNS
cord-348010-m3a3utvz	128	25	(	(	-LRB-
cord-348010-m3a3utvz	128	26	see	see	VB
cord-348010-m3a3utvz	128	27	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	128	28	2.1.5	2.1.5	CD
cord-348010-m3a3utvz	128	29	)	)	-RRB-
cord-348010-m3a3utvz	128	30	.	.	.
cord-348010-m3a3utvz	129	1	In	in	IN
cord-348010-m3a3utvz	129	2	other	other	JJ
cord-348010-m3a3utvz	129	3	words	word	NNS
cord-348010-m3a3utvz	129	4	,	,	,
cord-348010-m3a3utvz	129	5	during	during	IN
cord-348010-m3a3utvz	129	6	an	an	DT
cord-348010-m3a3utvz	129	7	adequate	adequate	JJ
cord-348010-m3a3utvz	129	8	contact	contact	NN
cord-348010-m3a3utvz	129	9	the	the	DT
cord-348010-m3a3utvz	129	10	pathogen	pathogen	NN
cord-348010-m3a3utvz	129	11	is	be	VBZ
cord-348010-m3a3utvz	129	12	transmitted	transmit	VBN
cord-348010-m3a3utvz	129	13	with	with	IN
cord-348010-m3a3utvz	129	14	the	the	DT
cord-348010-m3a3utvz	129	15	probability	probability	NN
cord-348010-m3a3utvz	129	16	one	one	CD
cord-348010-m3a3utvz	129	17	(	(	-LRB-
cord-348010-m3a3utvz	129	18	[	[	-LRB-
cord-348010-m3a3utvz	129	19	31	31	CD
cord-348010-m3a3utvz	129	20	]	]	-RRB-
cord-348010-m3a3utvz	129	21	,	,	,
cord-348010-m3a3utvz	129	22	p.	p.	NN
cord-348010-m3a3utvz	129	23	66	66	CD
cord-348010-m3a3utvz	129	24	)	)	-RRB-
cord-348010-m3a3utvz	129	25	.	.	.
cord-348010-m3a3utvz	130	1	Sometimes	sometimes	RB
cord-348010-m3a3utvz	130	2	,	,	,
cord-348010-m3a3utvz	130	3	the	the	DT
cord-348010-m3a3utvz	130	4	result	result	NN
cord-348010-m3a3utvz	130	5	of	of	IN
cord-348010-m3a3utvz	130	6	an	an	DT
cord-348010-m3a3utvz	130	7	adequate	adequate	JJ
cord-348010-m3a3utvz	130	8	contact	contact	NN
cord-348010-m3a3utvz	130	9	of	of	IN
cord-348010-m3a3utvz	130	10	an	an	DT
cord-348010-m3a3utvz	130	11	infectious	infectious	JJ
cord-348010-m3a3utvz	130	12	with	with	IN
cord-348010-m3a3utvz	130	13	a	a	DT
cord-348010-m3a3utvz	130	14	susceptible	susceptible	JJ
cord-348010-m3a3utvz	130	15	person	person	NN
cord-348010-m3a3utvz	130	16	is	be	VBZ
cord-348010-m3a3utvz	130	17	called	call	VBN
cord-348010-m3a3utvz	130	18	secondary	secondary	JJ
cord-348010-m3a3utvz	130	19	infection	infection	NN
cord-348010-m3a3utvz	130	20	.	.	.
cord-348010-m3a3utvz	131	1	Thus	thus	RB
cord-348010-m3a3utvz	131	2	,	,	,
cord-348010-m3a3utvz	131	3	one	one	PRP
cord-348010-m3a3utvz	131	4	can	can	MD
cord-348010-m3a3utvz	131	5	say	say	VB
cord-348010-m3a3utvz	131	6	that	that	DT
cord-348010-m3a3utvz	131	7	is	be	VBZ
cord-348010-m3a3utvz	131	8	the	the	DT
cord-348010-m3a3utvz	131	9	number	number	NN
cord-348010-m3a3utvz	131	10	of	of	IN
cord-348010-m3a3utvz	131	11	secondary	secondary	JJ
cord-348010-m3a3utvz	131	12	infections	infection	NNS
cord-348010-m3a3utvz	131	13	produced	produce	VBN
cord-348010-m3a3utvz	131	14	by	by	IN
cord-348010-m3a3utvz	131	15	an	an	DT
cord-348010-m3a3utvz	131	16	infectious	infectious	JJ
cord-348010-m3a3utvz	131	17	person	person	NN
cord-348010-m3a3utvz	131	18	during	during	IN
cord-348010-m3a3utvz	131	19	its	-PRON-	PRP$
cord-348010-m3a3utvz	131	20	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	131	21	.	.	.
cord-348010-m3a3utvz	132	1	Thus	thus	RB
cord-348010-m3a3utvz	132	2	,	,	,
cord-348010-m3a3utvz	132	3	takes	take	VBZ
cord-348010-m3a3utvz	132	4	into	into	IN
cord-348010-m3a3utvz	132	5	account	account	NN
cord-348010-m3a3utvz	132	6	,	,	,
cord-348010-m3a3utvz	132	7	that	that	IN
cord-348010-m3a3utvz	132	8	not	not	RB
cord-348010-m3a3utvz	132	9	each	each	DT
cord-348010-m3a3utvz	132	10	adequate	adequate	JJ
cord-348010-m3a3utvz	132	11	contact	contact	NN
cord-348010-m3a3utvz	132	12	produces	produce	VBZ
cord-348010-m3a3utvz	132	13	an	an	DT
cord-348010-m3a3utvz	132	14	infection	infection	NN
cord-348010-m3a3utvz	132	15	,	,	,
cord-348010-m3a3utvz	132	16	because	because	IN
cord-348010-m3a3utvz	132	17	the	the	DT
cord-348010-m3a3utvz	132	18	fraction	fraction	NN
cord-348010-m3a3utvz	132	19	of	of	IN
cord-348010-m3a3utvz	132	20	susceptible	susceptible	JJ
cord-348010-m3a3utvz	132	21	persons	person	NNS
cord-348010-m3a3utvz	132	22	generally	generally	RB
cord-348010-m3a3utvz	132	23	shrinks	shrink	VBZ
cord-348010-m3a3utvz	132	24	in	in	IN
cord-348010-m3a3utvz	132	25	the	the	DT
cord-348010-m3a3utvz	132	26	course	course	NN
cord-348010-m3a3utvz	132	27	of	of	IN
cord-348010-m3a3utvz	132	28	infection	infection	NN
cord-348010-m3a3utvz	132	29	.	.	.
cord-348010-m3a3utvz	133	1	Therefore	therefore	RB
cord-348010-m3a3utvz	133	2	,	,	,
cord-348010-m3a3utvz	133	3	is	be	VBZ
cord-348010-m3a3utvz	133	4	time	time	NN
cord-348010-m3a3utvz	133	5	-	-	HYPH
cord-348010-m3a3utvz	133	6	dependent	dependent	JJ
cord-348010-m3a3utvz	133	7	.	.	.
cord-348010-m3a3utvz	134	1	The	the	DT
cord-348010-m3a3utvz	134	2	basic	basic	JJ
cord-348010-m3a3utvz	134	3	reproduction	reproduction	NN
cord-348010-m3a3utvz	134	4	number	number	NN
cord-348010-m3a3utvz	134	5	0	0	NFP
cord-348010-m3a3utvz	134	6	is	be	VBZ
cord-348010-m3a3utvz	134	7	constant	constant	JJ
cord-348010-m3a3utvz	134	8	,	,	,
cord-348010-m3a3utvz	134	9	it	-PRON-	PRP
cord-348010-m3a3utvz	134	10	is	be	VBZ
cord-348010-m3a3utvz	134	11	related	relate	VBN
cord-348010-m3a3utvz	134	12	to	to	IN
cord-348010-m3a3utvz	134	13	the	the	DT
cord-348010-m3a3utvz	134	14	beginning	beginning	NN
cord-348010-m3a3utvz	134	15	of	of	IN
cord-348010-m3a3utvz	134	16	an	an	DT
cord-348010-m3a3utvz	134	17	infection	infection	NN
cord-348010-m3a3utvz	134	18	course	course	NN
cord-348010-m3a3utvz	134	19	.	.	.
cord-348010-m3a3utvz	135	1	The	the	DT
cord-348010-m3a3utvz	135	2	contact	contact	NN
cord-348010-m3a3utvz	135	3	number	number	NN
cord-348010-m3a3utvz	135	4	may	may	MD
cord-348010-m3a3utvz	135	5	be	be	VB
cord-348010-m3a3utvz	135	6	time	time	NN
cord-348010-m3a3utvz	135	7	-	-	HYPH
cord-348010-m3a3utvz	135	8	dependent	dependent	JJ
cord-348010-m3a3utvz	135	9	.	.	.
cord-348010-m3a3utvz	136	1	This	this	DT
cord-348010-m3a3utvz	136	2	is	be	VBZ
cord-348010-m3a3utvz	136	3	the	the	DT
cord-348010-m3a3utvz	136	4	case	case	NN
cord-348010-m3a3utvz	136	5	,	,	,
cord-348010-m3a3utvz	136	6	if	if	IN
cord-348010-m3a3utvz	136	7	infectious	infectious	JJ
cord-348010-m3a3utvz	136	8	persons	person	NNS
cord-348010-m3a3utvz	136	9	change	change	VBP
cord-348010-m3a3utvz	136	10	their	-PRON-	PRP$
cord-348010-m3a3utvz	136	11	contact	contact	NN
cord-348010-m3a3utvz	136	12	behaviour	behaviour	NN
cord-348010-m3a3utvz	136	13	voluntarily	voluntarily	RB
cord-348010-m3a3utvz	136	14	or	or	CC
cord-348010-m3a3utvz	136	15	due	due	IN
cord-348010-m3a3utvz	136	16	to	to	IN
cord-348010-m3a3utvz	136	17	restrictions	restriction	NNS
cord-348010-m3a3utvz	136	18	mandated	mandate	VBN
cord-348010-m3a3utvz	136	19	by	by	IN
cord-348010-m3a3utvz	136	20	authorities	authority	NNS
cord-348010-m3a3utvz	136	21	.	.	.
cord-348010-m3a3utvz	137	1	Thus	thus	RB
cord-348010-m3a3utvz	137	2	,	,	,
cord-348010-m3a3utvz	137	3	at	at	IN
cord-348010-m3a3utvz	137	4	the	the	DT
cord-348010-m3a3utvz	137	5	beginning	beginning	NN
cord-348010-m3a3utvz	137	6	,	,	,
cord-348010-m3a3utvz	137	7	equals	equal	VBZ
cord-348010-m3a3utvz	137	8	to	to	IN
cord-348010-m3a3utvz	137	9	0	0	CD
cord-348010-m3a3utvz	137	10	and	and	CC
cord-348010-m3a3utvz	137	11	.	.	.
cord-348010-m3a3utvz	138	1	Summarizing	summarize	VBG
cord-348010-m3a3utvz	138	2	these	these	DT
cord-348010-m3a3utvz	138	3	thoughts	thought	NNS
cord-348010-m3a3utvz	138	4	,	,	,
cord-348010-m3a3utvz	138	5	there	there	EX
cord-348010-m3a3utvz	138	6	holds	hold	VBZ
cord-348010-m3a3utvz	138	7	in	in	IN
cord-348010-m3a3utvz	138	8	almost	almost	RB
cord-348010-m3a3utvz	138	9	all	all	DT
cord-348010-m3a3utvz	138	10	cases	case	NNS
cord-348010-m3a3utvz	139	1	In	in	IN
cord-348010-m3a3utvz	139	2	the	the	DT
cord-348010-m3a3utvz	139	3	case	case	NN
cord-348010-m3a3utvz	139	4	of	of	IN
cord-348010-m3a3utvz	139	5	concrete	concrete	JJ
cord-348010-m3a3utvz	139	6	models	model	NNS
cord-348010-m3a3utvz	139	7	one	one	CD
cord-348010-m3a3utvz	139	8	uses	use	VBZ
cord-348010-m3a3utvz	139	9	generally	generally	RB
cord-348010-m3a3utvz	139	10	contact	contact	NN
cord-348010-m3a3utvz	139	11	and	and	CC
cord-348010-m3a3utvz	139	12	replacement	replacement	NN
cord-348010-m3a3utvz	139	13	numbers	number	NNS
cord-348010-m3a3utvz	139	14	,	,	,
cord-348010-m3a3utvz	139	15	and	and	CC
cord-348010-m3a3utvz	139	16	,	,	,
cord-348010-m3a3utvz	139	17	which	which	WDT
cord-348010-m3a3utvz	139	18	reflect	reflect	VBP
cord-348010-m3a3utvz	139	19	the	the	DT
cord-348010-m3a3utvz	139	20	current	current	JJ
cord-348010-m3a3utvz	139	21	infection	infection	NN
cord-348010-m3a3utvz	139	22	behaviour	behaviour	NN
cord-348010-m3a3utvz	139	23	.	.	.
cord-348010-m3a3utvz	140	1	Moreover	moreover	RB
cord-348010-m3a3utvz	140	2	,	,	,
cord-348010-m3a3utvz	140	3	these	these	DT
cord-348010-m3a3utvz	140	4	current	current	JJ
cord-348010-m3a3utvz	140	5	numbers	number	NNS
cord-348010-m3a3utvz	140	6	can	can	MD
cord-348010-m3a3utvz	140	7	be	be	VB
cord-348010-m3a3utvz	140	8	related	relate	VBN
cord-348010-m3a3utvz	140	9	to	to	IN
cord-348010-m3a3utvz	140	10	other	other	JJ
cord-348010-m3a3utvz	140	11	quantities	quantity	NNS
cord-348010-m3a3utvz	140	12	describing	describe	VBG
cord-348010-m3a3utvz	140	13	the	the	DT
cord-348010-m3a3utvz	140	14	model	model	NN
cord-348010-m3a3utvz	140	15	in	in	IN
cord-348010-m3a3utvz	140	16	a	a	DT
cord-348010-m3a3utvz	140	17	natural	natural	JJ
cord-348010-m3a3utvz	140	18	way	way	NN
cord-348010-m3a3utvz	140	19	.	.	.
cord-348010-m3a3utvz	141	1	We	-PRON-	PRP
cord-348010-m3a3utvz	141	2	return	return	VBP
cord-348010-m3a3utvz	141	3	to	to	IN
cord-348010-m3a3utvz	141	4	this	this	DT
cord-348010-m3a3utvz	141	5	in	in	IN
cord-348010-m3a3utvz	141	6	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	141	7	2.2.2	2.2.2	CD
cord-348010-m3a3utvz	141	8	.	.	.
cord-348010-m3a3utvz	142	1	As	as	IN
cord-348010-m3a3utvz	142	2	we	-PRON-	PRP
cord-348010-m3a3utvz	142	3	will	will	MD
cord-348010-m3a3utvz	142	4	see	see	VB
cord-348010-m3a3utvz	142	5	later	later	RB
cord-348010-m3a3utvz	142	6	,	,	,
cord-348010-m3a3utvz	142	7	0	0	CD
cord-348010-m3a3utvz	142	8	,	,	,
cord-348010-m3a3utvz	142	9	and	and	CC
cord-348010-m3a3utvz	142	10	are	be	VBP
cord-348010-m3a3utvz	142	11	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	142	12	quantities	quantity	NNS
cord-348010-m3a3utvz	142	13	,	,	,
cord-348010-m3a3utvz	142	14	i.e.	i.e.	FW
cord-348010-m3a3utvz	142	15	,	,	,
cord-348010-m3a3utvz	142	16	they	-PRON-	PRP
cord-348010-m3a3utvz	142	17	do	do	VBP
cord-348010-m3a3utvz	142	18	not	not	RB
cord-348010-m3a3utvz	142	19	have	have	VB
cord-348010-m3a3utvz	142	20	any	any	DT
cord-348010-m3a3utvz	142	21	units	unit	NNS
cord-348010-m3a3utvz	142	22	.	.	.
cord-348010-m3a3utvz	143	1	Finally	finally	RB
cord-348010-m3a3utvz	143	2	,	,	,
cord-348010-m3a3utvz	143	3	we	-PRON-	PRP
cord-348010-m3a3utvz	143	4	note	note	VBP
cord-348010-m3a3utvz	143	5	that	that	IN
cord-348010-m3a3utvz	143	6	an	an	DT
cord-348010-m3a3utvz	143	7	adequate	adequate	JJ
cord-348010-m3a3utvz	143	8	contact	contact	NN
cord-348010-m3a3utvz	143	9	and	and	CC
cord-348010-m3a3utvz	143	10	hence	hence	RB
cord-348010-m3a3utvz	143	11	the	the	DT
cord-348010-m3a3utvz	143	12	contact	contact	NN
cord-348010-m3a3utvz	143	13	number	number	NN
cord-348010-m3a3utvz	143	14	are	be	VBP
cord-348010-m3a3utvz	143	15	infection	infection	NN
cord-348010-m3a3utvz	143	16	-	-	HYPH
cord-348010-m3a3utvz	143	17	dependent	dependent	JJ
cord-348010-m3a3utvz	143	18	.	.	.
cord-348010-m3a3utvz	144	1	A	a	DT
cord-348010-m3a3utvz	144	2	physically	physically	RB
cord-348010-m3a3utvz	144	3	equal	equal	JJ
cord-348010-m3a3utvz	144	4	contact	contact	NN
cord-348010-m3a3utvz	144	5	is	be	VBZ
cord-348010-m3a3utvz	144	6	adequate	adequate	JJ
cord-348010-m3a3utvz	144	7	for	for	IN
cord-348010-m3a3utvz	144	8	one	one	CD
cord-348010-m3a3utvz	144	9	pathogen	pathogen	NN
cord-348010-m3a3utvz	144	10	but	but	CC
cord-348010-m3a3utvz	144	11	not	not	RB
cord-348010-m3a3utvz	144	12	for	for	IN
cord-348010-m3a3utvz	144	13	another	another	DT
cord-348010-m3a3utvz	144	14	one	one	NN
cord-348010-m3a3utvz	144	15	.	.	.
cord-348010-m3a3utvz	145	1	Clearly	clearly	RB
cord-348010-m3a3utvz	145	2	,	,	,
cord-348010-m3a3utvz	145	3	the	the	DT
cord-348010-m3a3utvz	145	4	contact	contact	NN
cord-348010-m3a3utvz	145	5	number	number	NN
cord-348010-m3a3utvz	145	6	depends	depend	VBZ
cord-348010-m3a3utvz	145	7	on	on	IN
cord-348010-m3a3utvz	145	8	the	the	DT
cord-348010-m3a3utvz	145	9	mean	mean	JJ
cord-348010-m3a3utvz	145	10	duration	duration	NN
cord-348010-m3a3utvz	145	11	of	of	IN
cord-348010-m3a3utvz	145	12	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	145	13	.	.	.
cord-348010-m3a3utvz	146	1	The	the	DT
cord-348010-m3a3utvz	146	2	concept	concept	NN
cord-348010-m3a3utvz	146	3	of	of	IN
cord-348010-m3a3utvz	146	4	the	the	DT
cord-348010-m3a3utvz	146	5	contact	contact	NN
cord-348010-m3a3utvz	146	6	number	number	NN
cord-348010-m3a3utvz	146	7	averages	average	VBZ
cord-348010-m3a3utvz	146	8	the	the	DT
cord-348010-m3a3utvz	146	9	different	different	JJ
cord-348010-m3a3utvz	146	10	and	and	CC
cord-348010-m3a3utvz	146	11	random	random	JJ
cord-348010-m3a3utvz	146	12	behaviour	behaviour	NN
cord-348010-m3a3utvz	146	13	of	of	IN
cord-348010-m3a3utvz	146	14	individuals	individual	NNS
cord-348010-m3a3utvz	146	15	.	.	.
cord-348010-m3a3utvz	147	1	When	when	WRB
cord-348010-m3a3utvz	147	2	investigating	investigate	VBG
cord-348010-m3a3utvz	147	3	the	the	DT
cord-348010-m3a3utvz	147	4	spread	spread	NN
cord-348010-m3a3utvz	147	5	of	of	IN
cord-348010-m3a3utvz	147	6	infectious	infectious	JJ
cord-348010-m3a3utvz	147	7	diseases	disease	NNS
cord-348010-m3a3utvz	147	8	,	,	,
cord-348010-m3a3utvz	147	9	generally	generally	RB
cord-348010-m3a3utvz	147	10	two	two	CD
cord-348010-m3a3utvz	147	11	mutually	mutually	RB
cord-348010-m3a3utvz	147	12	influencing	influence	VBG
cord-348010-m3a3utvz	147	13	processes	process	NNS
cord-348010-m3a3utvz	147	14	have	have	VBP
cord-348010-m3a3utvz	147	15	to	to	TO
cord-348010-m3a3utvz	147	16	be	be	VB
cord-348010-m3a3utvz	147	17	considered	consider	VBN
cord-348010-m3a3utvz	147	18	:	:	:
cord-348010-m3a3utvz	147	19	The	the	DT
cord-348010-m3a3utvz	147	20	development	development	NN
cord-348010-m3a3utvz	147	21	of	of	IN
cord-348010-m3a3utvz	147	22	the	the	DT
cord-348010-m3a3utvz	147	23	infection	infection	NN
cord-348010-m3a3utvz	147	24	itself	-PRON-	PRP
cord-348010-m3a3utvz	147	25	and	and	CC
cord-348010-m3a3utvz	147	26	the	the	DT
cord-348010-m3a3utvz	147	27	dynamics	dynamic	NNS
cord-348010-m3a3utvz	147	28	of	of	IN
cord-348010-m3a3utvz	147	29	the	the	DT
cord-348010-m3a3utvz	147	30	population	population	NN
cord-348010-m3a3utvz	147	31	in	in	IN
cord-348010-m3a3utvz	147	32	which	which	WDT
cord-348010-m3a3utvz	147	33	the	the	DT
cord-348010-m3a3utvz	147	34	infection	infection	NN
cord-348010-m3a3utvz	147	35	extends	extend	VBZ
cord-348010-m3a3utvz	147	36	,	,	,
cord-348010-m3a3utvz	147	37	see	see	VB
cord-348010-m3a3utvz	147	38	[	[	-LRB-
cord-348010-m3a3utvz	147	39	16	16	CD
cord-348010-m3a3utvz	147	40	]	]	-RRB-
cord-348010-m3a3utvz	147	41	.	.	.
cord-348010-m3a3utvz	148	1	The	the	DT
cord-348010-m3a3utvz	148	2	assumptions	assumption	NNS
cord-348010-m3a3utvz	148	3	listed	list	VBN
cord-348010-m3a3utvz	148	4	up	up	RP
cord-348010-m3a3utvz	148	5	consecutively	consecutively	RB
cord-348010-m3a3utvz	148	6	must	must	MD
cord-348010-m3a3utvz	148	7	be	be	VB
cord-348010-m3a3utvz	148	8	chosen	choose	VBN
cord-348010-m3a3utvz	148	9	in	in	IN
cord-348010-m3a3utvz	148	10	accordance	accordance	NN
cord-348010-m3a3utvz	148	11	with	with	IN
cord-348010-m3a3utvz	148	12	real	real	JJ
cord-348010-m3a3utvz	148	13	proceedings	proceeding	NNS
cord-348010-m3a3utvz	148	14	of	of	IN
cord-348010-m3a3utvz	148	15	infections	infection	NNS
cord-348010-m3a3utvz	148	16	.	.	.
cord-348010-m3a3utvz	149	1	Moreover	moreover	RB
cord-348010-m3a3utvz	149	2	,	,	,
cord-348010-m3a3utvz	149	3	these	these	DT
cord-348010-m3a3utvz	149	4	assumptions	assumption	NNS
cord-348010-m3a3utvz	149	5	should	should	MD
cord-348010-m3a3utvz	149	6	be	be	VB
cord-348010-m3a3utvz	149	7	supported	support	VBN
cord-348010-m3a3utvz	149	8	by	by	IN
cord-348010-m3a3utvz	149	9	as	as	RB
cord-348010-m3a3utvz	149	10	much	much	JJ
cord-348010-m3a3utvz	149	11	as	as	IN
cord-348010-m3a3utvz	149	12	possible	possible	JJ
cord-348010-m3a3utvz	149	13	empirical	empirical	JJ
cord-348010-m3a3utvz	149	14	and	and	CC
cord-348010-m3a3utvz	149	15	medical	medical	JJ
cord-348010-m3a3utvz	149	16	findings	finding	NNS
cord-348010-m3a3utvz	149	17	.	.	.
cord-348010-m3a3utvz	150	1	In	in	IN
cord-348010-m3a3utvz	150	2	[	[	-LRB-
cord-348010-m3a3utvz	150	3	16	16	CD
cord-348010-m3a3utvz	150	4	]	]	-RRB-
cord-348010-m3a3utvz	150	5	,	,	,
cord-348010-m3a3utvz	150	6	many	many	JJ
cord-348010-m3a3utvz	150	7	cases	case	NNS
cord-348010-m3a3utvz	150	8	of	of	IN
cord-348010-m3a3utvz	150	9	infections	infection	NNS
cord-348010-m3a3utvz	150	10	occurred	occur	VBD
cord-348010-m3a3utvz	150	11	in	in	IN
cord-348010-m3a3utvz	150	12	earlier	early	JJR
cord-348010-m3a3utvz	150	13	time	time	NN
cord-348010-m3a3utvz	150	14	or	or	CC
cord-348010-m3a3utvz	150	15	recently	recently	RB
cord-348010-m3a3utvz	150	16	are	be	VBP
cord-348010-m3a3utvz	150	17	discussed	discuss	VBN
cord-348010-m3a3utvz	150	18	in	in	IN
cord-348010-m3a3utvz	150	19	detail	detail	NN
cord-348010-m3a3utvz	150	20	.	.	.
cord-348010-m3a3utvz	151	1	(	(	-LRB-
cord-348010-m3a3utvz	151	2	i	i	NN
cord-348010-m3a3utvz	151	3	)	)	-RRB-
cord-348010-m3a3utvz	151	4	(	(	-LRB-
cord-348010-m3a3utvz	151	5	Closed	close	VBN
cord-348010-m3a3utvz	151	6	-	-	HYPH
cord-348010-m3a3utvz	151	7	population	population	NN
cord-348010-m3a3utvz	151	8	model	model	NN
cord-348010-m3a3utvz	151	9	)	)	-RRB-
cord-348010-m3a3utvz	152	1	An	an	DT
cord-348010-m3a3utvz	152	2	assumed	assume	VBN
cord-348010-m3a3utvz	152	3	constant	constant	JJ
cord-348010-m3a3utvz	152	4	number	number	NN
cord-348010-m3a3utvz	152	5	of	of	IN
cord-348010-m3a3utvz	152	6	community	community	NN
cord-348010-m3a3utvz	152	7	members	member	NNS
cord-348010-m3a3utvz	152	8	(	(	-LRB-
cord-348010-m3a3utvz	152	9	see	see	VB
cord-348010-m3a3utvz	152	10	Remark	Remark	NNP
cord-348010-m3a3utvz	152	11	2.2	2.2	CD
cord-348010-m3a3utvz	152	12	)	)	-RRB-
cord-348010-m3a3utvz	152	13	seems	seem	VBZ
cord-348010-m3a3utvz	152	14	to	to	TO
cord-348010-m3a3utvz	152	15	be	be	VB
cord-348010-m3a3utvz	152	16	justified	justify	VBN
cord-348010-m3a3utvz	152	17	,	,	,
cord-348010-m3a3utvz	152	18	if	if	IN
cord-348010-m3a3utvz	152	19	the	the	DT
cord-348010-m3a3utvz	152	20	infection	infection	NN
cord-348010-m3a3utvz	152	21	spreads	spread	VBZ
cord-348010-m3a3utvz	152	22	quickly	quickly	RB
cord-348010-m3a3utvz	152	23	,	,	,
cord-348010-m3a3utvz	152	24	approximately	approximately	RB
cord-348010-m3a3utvz	152	25	within	within	IN
cord-348010-m3a3utvz	152	26	a	a	DT
cord-348010-m3a3utvz	152	27	year	year	NN
cord-348010-m3a3utvz	152	28	,	,	,
cord-348010-m3a3utvz	152	29	and/or	and/or	CC
cord-348010-m3a3utvz	152	30	,	,	,
cord-348010-m3a3utvz	152	31	if	if	IN
cord-348010-m3a3utvz	152	32	there	there	EX
cord-348010-m3a3utvz	152	33	is	be	VBZ
cord-348010-m3a3utvz	152	34	a	a	DT
cord-348010-m3a3utvz	152	35	balance	balance	NN
cord-348010-m3a3utvz	152	36	between	between	IN
cord-348010-m3a3utvz	152	37	births	birth	NNS
cord-348010-m3a3utvz	152	38	,	,	,
cord-348010-m3a3utvz	152	39	migration	migration	NN
cord-348010-m3a3utvz	152	40	and	and	CC
cord-348010-m3a3utvz	152	41	non	non	JJ
cord-348010-m3a3utvz	152	42	-	-	JJ
cord-348010-m3a3utvz	152	43	disease	disease	JJ
cord-348010-m3a3utvz	152	44	-	-	HYPH
cord-348010-m3a3utvz	152	45	related	relate	VBN
cord-348010-m3a3utvz	152	46	deaths	death	NNS
cord-348010-m3a3utvz	152	47	.	.	.
cord-348010-m3a3utvz	153	1	In	in	IN
cord-348010-m3a3utvz	153	2	connection	connection	NN
cord-348010-m3a3utvz	153	3	with	with	IN
cord-348010-m3a3utvz	153	4	disease	disease	NN
cord-348010-m3a3utvz	153	5	modelling	modelling	NN
cord-348010-m3a3utvz	153	6	,	,	,
cord-348010-m3a3utvz	153	7	these	these	DT
cord-348010-m3a3utvz	153	8	deaths	death	NNS
cord-348010-m3a3utvz	153	9	are	be	VBP
cord-348010-m3a3utvz	153	10	often	often	RB
cord-348010-m3a3utvz	153	11	referred	refer	VBN
cord-348010-m3a3utvz	153	12	to	to	IN
cord-348010-m3a3utvz	153	13	as	as	IN
cord-348010-m3a3utvz	153	14	"	"	``
cord-348010-m3a3utvz	153	15	natural	natural	JJ
cord-348010-m3a3utvz	153	16	deaths	death	NNS
cord-348010-m3a3utvz	153	17	"	"	''
cord-348010-m3a3utvz	153	18	.	.	.
cord-348010-m3a3utvz	154	1	The	the	DT
cord-348010-m3a3utvz	154	2	deaths	death	NNS
cord-348010-m3a3utvz	154	3	caused	cause	VBN
cord-348010-m3a3utvz	154	4	by	by	IN
cord-348010-m3a3utvz	154	5	infection	infection	NN
cord-348010-m3a3utvz	154	6	can	can	MD
cord-348010-m3a3utvz	154	7	be	be	VB
cord-348010-m3a3utvz	154	8	listed	list	VBN
cord-348010-m3a3utvz	154	9	as	as	IN
cord-348010-m3a3utvz	154	10	an	an	DT
cord-348010-m3a3utvz	154	11	extra	extra	JJ
cord-348010-m3a3utvz	154	12	class	class	NN
cord-348010-m3a3utvz	154	13	,	,	,
cord-348010-m3a3utvz	154	14	or	or	CC
cord-348010-m3a3utvz	154	15	,	,	,
cord-348010-m3a3utvz	154	16	they	-PRON-	PRP
cord-348010-m3a3utvz	154	17	can	can	MD
cord-348010-m3a3utvz	154	18	be	be	VB
cord-348010-m3a3utvz	154	19	included	include	VBN
cord-348010-m3a3utvz	154	20	into	into	IN
cord-348010-m3a3utvz	154	21	the	the	DT
cord-348010-m3a3utvz	154	22	group	group	NN
cord-348010-m3a3utvz	154	23	of	of	IN
cord-348010-m3a3utvz	154	24	(	(	-LRB-
cord-348010-m3a3utvz	154	25	immune	immune	JJ
cord-348010-m3a3utvz	154	26	)	)	-RRB-
cord-348010-m3a3utvz	154	27	recovered	recover	VBN
cord-348010-m3a3utvz	154	28	persons	person	NNS
cord-348010-m3a3utvz	154	29	.	.	.
cord-348010-m3a3utvz	155	1	(	(	-LRB-
cord-348010-m3a3utvz	155	2	ii	ii	NN
cord-348010-m3a3utvz	155	3	)	)	-RRB-
cord-348010-m3a3utvz	156	1	(	(	-LRB-
cord-348010-m3a3utvz	156	2	Dynamic	dynamic	JJ
cord-348010-m3a3utvz	156	3	-	-	HYPH
cord-348010-m3a3utvz	156	4	population	population	NN
cord-348010-m3a3utvz	156	5	model	model	NN
cord-348010-m3a3utvz	156	6	)	)	-RRB-
cord-348010-m3a3utvz	157	1	A	a	DT
cord-348010-m3a3utvz	157	2	variable	variable	JJ
cord-348010-m3a3utvz	157	3	number	number	NN
cord-348010-m3a3utvz	157	4	of	of	IN
cord-348010-m3a3utvz	157	5	community	community	NN
cord-348010-m3a3utvz	157	6	members	member	NNS
cord-348010-m3a3utvz	157	7	should	should	MD
cord-348010-m3a3utvz	157	8	be	be	VB
cord-348010-m3a3utvz	157	9	taken	take	VBN
cord-348010-m3a3utvz	157	10	into	into	IN
cord-348010-m3a3utvz	157	11	account	account	NN
cord-348010-m3a3utvz	157	12	,	,	,
cord-348010-m3a3utvz	157	13	if	if	IN
cord-348010-m3a3utvz	157	14	the	the	DT
cord-348010-m3a3utvz	157	15	infection	infection	NN
cord-348010-m3a3utvz	157	16	leads	lead	VBZ
cord-348010-m3a3utvz	157	17	to	to	IN
cord-348010-m3a3utvz	157	18	many	many	JJ
cord-348010-m3a3utvz	157	19	deaths	death	NNS
cord-348010-m3a3utvz	157	20	,	,	,
cord-348010-m3a3utvz	157	21	or	or	CC
cord-348010-m3a3utvz	157	22	,	,	,
cord-348010-m3a3utvz	157	23	if	if	IN
cord-348010-m3a3utvz	157	24	a	a	DT
cord-348010-m3a3utvz	157	25	big	big	JJ
cord-348010-m3a3utvz	157	26	growth	growth	NN
cord-348010-m3a3utvz	157	27	of	of	IN
cord-348010-m3a3utvz	157	28	population	population	NN
cord-348010-m3a3utvz	157	29	and/or	and/or	CC
cord-348010-m3a3utvz	157	30	an	an	DT
cord-348010-m3a3utvz	157	31	essential	essential	JJ
cord-348010-m3a3utvz	157	32	migration	migration	NN
cord-348010-m3a3utvz	157	33	substantially	substantially	RB
cord-348010-m3a3utvz	157	34	influence	influence	VBP
cord-348010-m3a3utvz	157	35	the	the	DT
cord-348010-m3a3utvz	157	36	population	population	NN
cord-348010-m3a3utvz	157	37	balance	balance	NN
cord-348010-m3a3utvz	157	38	.	.	.
cord-348010-m3a3utvz	158	1	Now	now	RB
cord-348010-m3a3utvz	158	2	,	,	,
cord-348010-m3a3utvz	158	3	it	-PRON-	PRP
cord-348010-m3a3utvz	158	4	is	be	VBZ
cord-348010-m3a3utvz	158	5	necessary	necessary	JJ
cord-348010-m3a3utvz	158	6	to	to	TO
cord-348010-m3a3utvz	158	7	consider	consider	VB
cord-348010-m3a3utvz	158	8	an	an	DT
cord-348010-m3a3utvz	158	9	additional	additional	JJ
cord-348010-m3a3utvz	158	10	equation	equation	NN
cord-348010-m3a3utvz	158	11	for	for	IN
cord-348010-m3a3utvz	158	12	the	the	DT
cord-348010-m3a3utvz	158	13	population	population	NN
cord-348010-m3a3utvz	158	14	development	development	NN
cord-348010-m3a3utvz	158	15	,	,	,
cord-348010-m3a3utvz	158	16	either	either	CC
cord-348010-m3a3utvz	158	17	with	with	IN
cord-348010-m3a3utvz	158	18	given	give	VBN
cord-348010-m3a3utvz	158	19	rates	rate	NNS
cord-348010-m3a3utvz	158	20	of	of	IN
cord-348010-m3a3utvz	158	21	births	birth	NNS
cord-348010-m3a3utvz	158	22	,	,	,
cord-348010-m3a3utvz	158	23	deaths	death	NNS
cord-348010-m3a3utvz	158	24	and	and	CC
cord-348010-m3a3utvz	158	25	migration	migration	NN
cord-348010-m3a3utvz	158	26	or	or	CC
cord-348010-m3a3utvz	158	27	as	as	IN
cord-348010-m3a3utvz	158	28	a	a	DT
cord-348010-m3a3utvz	158	29	logistic	logistic	JJ
cord-348010-m3a3utvz	158	30	equation	equation	NN
cord-348010-m3a3utvz	158	31	(	(	-LRB-
cord-348010-m3a3utvz	158	32	see	see	VB
cord-348010-m3a3utvz	158	33	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	158	34	2.2.1	2.2.1	CD
cord-348010-m3a3utvz	158	35	)	)	-RRB-
cord-348010-m3a3utvz	158	36	.	.	.
cord-348010-m3a3utvz	159	1	Generally	generally	RB
cord-348010-m3a3utvz	159	2	,	,	,
cord-348010-m3a3utvz	159	3	in	in	IN
cord-348010-m3a3utvz	159	4	the	the	DT
cord-348010-m3a3utvz	159	5	case	case	NN
cord-348010-m3a3utvz	159	6	of	of	IN
cord-348010-m3a3utvz	159	7	constant	constant	JJ
cord-348010-m3a3utvz	159	8	population	population	NN
cord-348010-m3a3utvz	159	9	the	the	DT
cord-348010-m3a3utvz	159	10	model	model	NN
cord-348010-m3a3utvz	159	11	which	which	WDT
cord-348010-m3a3utvz	159	12	has	have	VBZ
cord-348010-m3a3utvz	159	13	to	to	TO
cord-348010-m3a3utvz	159	14	be	be	VB
cord-348010-m3a3utvz	159	15	developed	develop	VBN
cord-348010-m3a3utvz	159	16	becomes	become	VBZ
cord-348010-m3a3utvz	159	17	easier	easy	JJR
cord-348010-m3a3utvz	159	18	as	as	IN
cord-348010-m3a3utvz	159	19	for	for	IN
cord-348010-m3a3utvz	159	20	variable	variable	JJ
cord-348010-m3a3utvz	159	21	population	population	NN
cord-348010-m3a3utvz	159	22	.	.	.
cord-348010-m3a3utvz	160	1	For	for	IN
cord-348010-m3a3utvz	160	2	a	a	DT
cord-348010-m3a3utvz	160	3	better	well	JJR
cord-348010-m3a3utvz	160	4	overview	overview	NN
cord-348010-m3a3utvz	160	5	,	,	,
cord-348010-m3a3utvz	160	6	at	at	IN
cord-348010-m3a3utvz	160	7	first	first	RB
cord-348010-m3a3utvz	160	8	we	-PRON-	PRP
cord-348010-m3a3utvz	160	9	deal	deal	VBP
cord-348010-m3a3utvz	160	10	with	with	IN
cord-348010-m3a3utvz	160	11	a	a	DT
cord-348010-m3a3utvz	160	12	constant	constant	JJ
cord-348010-m3a3utvz	160	13	number	number	NN
cord-348010-m3a3utvz	160	14	of	of	IN
cord-348010-m3a3utvz	160	15	community	community	NN
cord-348010-m3a3utvz	160	16	members	member	NNS
cord-348010-m3a3utvz	160	17	,	,	,
cord-348010-m3a3utvz	160	18	in	in	IN
cord-348010-m3a3utvz	160	19	Subsection	Subsection	NNP
cord-348010-m3a3utvz	160	20	2.3.3	2.3.3	CD
cord-348010-m3a3utvz	160	21	,	,	,
cord-348010-m3a3utvz	160	22	a	a	DT
cord-348010-m3a3utvz	160	23	variable	variable	JJ
cord-348010-m3a3utvz	160	24	population	population	NN
cord-348010-m3a3utvz	160	25	is	be	VBZ
cord-348010-m3a3utvz	160	26	considered	consider	VBN
cord-348010-m3a3utvz	160	27	in	in	IN
cord-348010-m3a3utvz	160	28	short	short	JJ
cord-348010-m3a3utvz	160	29	.	.	.
cord-348010-m3a3utvz	161	1	In	in	IN
cord-348010-m3a3utvz	161	2	accordance	accordance	NN
cord-348010-m3a3utvz	161	3	with	with	IN
cord-348010-m3a3utvz	161	4	current	current	JJ
cord-348010-m3a3utvz	161	5	findings	finding	NNS
cord-348010-m3a3utvz	161	6	about	about	IN
cord-348010-m3a3utvz	161	7	SARS	SARS	NNP
cord-348010-m3a3utvz	161	8	-	-	HYPH
cord-348010-m3a3utvz	161	9	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	161	10	and	and	CC
cord-348010-m3a3utvz	161	11	with	with	IN
cord-348010-m3a3utvz	161	12	the	the	DT
cord-348010-m3a3utvz	161	13	demographical	demographical	JJ
cord-348010-m3a3utvz	161	14	development	development	NN
cord-348010-m3a3utvz	161	15	at	at	IN
cord-348010-m3a3utvz	161	16	least	least	JJS
cord-348010-m3a3utvz	161	17	in	in	IN
cord-348010-m3a3utvz	161	18	Germany	Germany	NNP
cord-348010-m3a3utvz	161	19	,	,	,
cord-348010-m3a3utvz	161	20	an	an	DT
cord-348010-m3a3utvz	161	21	assumed	assume	VBN
cord-348010-m3a3utvz	161	22	constant	constant	JJ
cord-348010-m3a3utvz	161	23	population	population	NN
cord-348010-m3a3utvz	161	24	seems	seem	VBZ
cord-348010-m3a3utvz	161	25	to	to	TO
cord-348010-m3a3utvz	161	26	be	be	VB
cord-348010-m3a3utvz	161	27	justified	justify	VBN
cord-348010-m3a3utvz	161	28	.	.	.
cord-348010-m3a3utvz	162	1	Assumptions	assumption	NNS
cord-348010-m3a3utvz	162	2	concerning	concern	VBG
cord-348010-m3a3utvz	162	3	the	the	DT
cord-348010-m3a3utvz	162	4	course	course	NN
cord-348010-m3a3utvz	162	5	of	of	IN
cord-348010-m3a3utvz	162	6	infection	infection	NN
cord-348010-m3a3utvz	163	1	(	(	-LRB-
cord-348010-m3a3utvz	163	2	i	i	NN
cord-348010-m3a3utvz	163	3	)	)	-RRB-
cord-348010-m3a3utvz	164	1	The	the	DT
cord-348010-m3a3utvz	164	2	whole	whole	JJ
cord-348010-m3a3utvz	164	3	population	population	NN
cord-348010-m3a3utvz	164	4	is	be	VBZ
cord-348010-m3a3utvz	164	5	divided	divide	VBN
cord-348010-m3a3utvz	164	6	in	in	IN
cord-348010-m3a3utvz	164	7	several	several	JJ
cord-348010-m3a3utvz	164	8	disjoint	disjoint	JJ
cord-348010-m3a3utvz	164	9	classes	class	NNS
cord-348010-m3a3utvz	164	10	w.r.t	w.r.t	JJ
cord-348010-m3a3utvz	164	11	.	.	.
cord-348010-m3a3utvz	165	1	the	the	DT
cord-348010-m3a3utvz	165	2	course	course	NN
cord-348010-m3a3utvz	165	3	of	of	IN
cord-348010-m3a3utvz	165	4	infection	infection	NN
cord-348010-m3a3utvz	165	5	.	.	.
cord-348010-m3a3utvz	166	1	The	the	DT
cord-348010-m3a3utvz	166	2	temporal	temporal	JJ
cord-348010-m3a3utvz	166	3	development	development	NN
cord-348010-m3a3utvz	166	4	of	of	IN
cord-348010-m3a3utvz	166	5	each	each	DT
cord-348010-m3a3utvz	166	6	class	class	NN
cord-348010-m3a3utvz	166	7	and	and	CC
cord-348010-m3a3utvz	166	8	its	-PRON-	PRP$
cord-348010-m3a3utvz	166	9	interaction	interaction	NN
cord-348010-m3a3utvz	166	10	with	with	IN
cord-348010-m3a3utvz	166	11	others	other	NNS
cord-348010-m3a3utvz	166	12	is	be	VBZ
cord-348010-m3a3utvz	166	13	described	describe	VBN
cord-348010-m3a3utvz	166	14	by	by	IN
cord-348010-m3a3utvz	166	15	an	an	DT
cord-348010-m3a3utvz	166	16	own	own	JJ
cord-348010-m3a3utvz	166	17	equation	equation	NN
cord-348010-m3a3utvz	166	18	.	.	.
cord-348010-m3a3utvz	167	1	In	in	IN
cord-348010-m3a3utvz	167	2	the	the	DT
cord-348010-m3a3utvz	167	3	simplest	simple	JJS
cord-348010-m3a3utvz	167	4	case	case	NN
cord-348010-m3a3utvz	167	5	there	there	EX
cord-348010-m3a3utvz	167	6	are	be	VBP
cord-348010-m3a3utvz	167	7	two	two	CD
cord-348010-m3a3utvz	167	8	classes	class	NNS
cord-348010-m3a3utvz	167	9	:	:	:
cord-348010-m3a3utvz	167	10	Persons	person	NNS
cord-348010-m3a3utvz	167	11	who	who	WP
cord-348010-m3a3utvz	167	12	are	be	VBP
cord-348010-m3a3utvz	167	13	susceptible	susceptible	JJ
cord-348010-m3a3utvz	167	14	for	for	IN
cord-348010-m3a3utvz	167	15	the	the	DT
cord-348010-m3a3utvz	167	16	infection	infection	NN
cord-348010-m3a3utvz	167	17	and	and	CC
cord-348010-m3a3utvz	167	18	infected	infected	JJ
cord-348010-m3a3utvz	167	19	individuals	individual	NNS
cord-348010-m3a3utvz	167	20	.	.	.
cord-348010-m3a3utvz	168	1	This	this	DT
cord-348010-m3a3utvz	168	2	approach	approach	NN
cord-348010-m3a3utvz	168	3	leads	lead	VBZ
cord-348010-m3a3utvz	168	4	to	to	IN
cord-348010-m3a3utvz	168	5	compartment	compartment	NN
cord-348010-m3a3utvz	168	6	models	model	NNS
cord-348010-m3a3utvz	168	7	.	.	.
cord-348010-m3a3utvz	169	1	In	in	IN
cord-348010-m3a3utvz	169	2	Section	section	NN
cord-348010-m3a3utvz	169	3	2.1.5	2.1.5	CD
cord-348010-m3a3utvz	169	4	,	,	,
cord-348010-m3a3utvz	169	5	we	-PRON-	PRP
cord-348010-m3a3utvz	169	6	deal	deal	VBP
cord-348010-m3a3utvz	169	7	with	with	IN
cord-348010-m3a3utvz	169	8	this	this	DT
cord-348010-m3a3utvz	169	9	item	item	NN
cord-348010-m3a3utvz	169	10	in	in	IN
cord-348010-m3a3utvz	169	11	detail	detail	NN
cord-348010-m3a3utvz	169	12	.	.	.
cord-348010-m3a3utvz	170	1	(	(	-LRB-
cord-348010-m3a3utvz	170	2	ii	ii	NN
cord-348010-m3a3utvz	170	3	)	)	-RRB-
cord-348010-m3a3utvz	171	1	The	the	DT
cord-348010-m3a3utvz	171	2	specifics	specific	NNS
cord-348010-m3a3utvz	171	3	of	of	IN
cord-348010-m3a3utvz	171	4	an	an	DT
cord-348010-m3a3utvz	171	5	infection	infection	NN
cord-348010-m3a3utvz	171	6	process	process	NN
cord-348010-m3a3utvz	171	7	are	be	VBP
cord-348010-m3a3utvz	171	8	taken	take	VBN
cord-348010-m3a3utvz	171	9	into	into	IN
cord-348010-m3a3utvz	171	10	account	account	NN
cord-348010-m3a3utvz	171	11	like	like	IN
cord-348010-m3a3utvz	171	12	mean	mean	JJ
cord-348010-m3a3utvz	171	13	duration	duration	NN
cord-348010-m3a3utvz	171	14	of	of	IN
cord-348010-m3a3utvz	171	15	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	171	16	of	of	IN
cord-348010-m3a3utvz	171	17	an	an	DT
cord-348010-m3a3utvz	171	18	individual	individual	NN
cord-348010-m3a3utvz	171	19	,	,	,
cord-348010-m3a3utvz	171	20	delay	delay	NN
cord-348010-m3a3utvz	171	21	of	of	IN
cord-348010-m3a3utvz	171	22	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	171	23	by	by	IN
cord-348010-m3a3utvz	171	24	a	a	DT
cord-348010-m3a3utvz	171	25	newly	newly	RB
cord-348010-m3a3utvz	171	26	infected	infect	VBN
cord-348010-m3a3utvz	171	27	person	person	NN
cord-348010-m3a3utvz	171	28	(	(	-LRB-
cord-348010-m3a3utvz	171	29	latent	latent	JJ
cord-348010-m3a3utvz	171	30	period	period	NN
cord-348010-m3a3utvz	171	31	)	)	-RRB-
cord-348010-m3a3utvz	171	32	,	,	,
cord-348010-m3a3utvz	171	33	mean	mean	JJ
cord-348010-m3a3utvz	171	34	duration	duration	NN
cord-348010-m3a3utvz	171	35	of	of	IN
cord-348010-m3a3utvz	171	36	acquired	acquire	VBN
cord-348010-m3a3utvz	171	37	immunity	immunity	NN
cord-348010-m3a3utvz	171	38	after	after	IN
cord-348010-m3a3utvz	171	39	an	an	DT
cord-348010-m3a3utvz	171	40	overcome	overcome	NN
cord-348010-m3a3utvz	171	41	infection	infection	NN
cord-348010-m3a3utvz	171	42	.	.	.
cord-348010-m3a3utvz	172	1	Detailed	detailed	JJ
cord-348010-m3a3utvz	172	2	explications	explication	NNS
cord-348010-m3a3utvz	172	3	are	be	VBP
cord-348010-m3a3utvz	172	4	given	give	VBN
cord-348010-m3a3utvz	172	5	in	in	IN
cord-348010-m3a3utvz	172	6	Section	section	NN
cord-348010-m3a3utvz	172	7	2.2	2.2	CD
cord-348010-m3a3utvz	172	8	.	.	.
cord-348010-m3a3utvz	173	1	(	(	-LRB-
cord-348010-m3a3utvz	173	2	iii	iii	NN
cord-348010-m3a3utvz	173	3	)	)	-RRB-
cord-348010-m3a3utvz	174	1	Outer	outer	JJ
cord-348010-m3a3utvz	174	2	influences	influence	NNS
cord-348010-m3a3utvz	174	3	on	on	IN
cord-348010-m3a3utvz	174	4	the	the	DT
cord-348010-m3a3utvz	174	5	infection	infection	NN
cord-348010-m3a3utvz	174	6	process	process	NN
cord-348010-m3a3utvz	174	7	are	be	VBP
cord-348010-m3a3utvz	174	8	considered	consider	VBN
cord-348010-m3a3utvz	174	9	like	like	IN
cord-348010-m3a3utvz	174	10	vaccinations	vaccination	NNS
cord-348010-m3a3utvz	174	11	and	and	CC
cord-348010-m3a3utvz	174	12	their	-PRON-	PRP$
cord-348010-m3a3utvz	174	13	temporal	temporal	JJ
cord-348010-m3a3utvz	174	14	delay	delay	NN
cord-348010-m3a3utvz	174	15	after	after	IN
cord-348010-m3a3utvz	174	16	the	the	DT
cord-348010-m3a3utvz	174	17	begin	begin	NN
cord-348010-m3a3utvz	174	18	of	of	IN
cord-348010-m3a3utvz	174	19	infection	infection	NN
cord-348010-m3a3utvz	174	20	(	(	-LRB-
cord-348010-m3a3utvz	174	21	see	see	VB
cord-348010-m3a3utvz	174	22	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	174	23	3.3	3.3	CD
cord-348010-m3a3utvz	174	24	)	)	-RRB-
cord-348010-m3a3utvz	174	25	,	,	,
cord-348010-m3a3utvz	174	26	available	available	JJ
cord-348010-m3a3utvz	174	27	capacities	capacity	NNS
cord-348010-m3a3utvz	174	28	of	of	IN
cord-348010-m3a3utvz	174	29	intensive	intensive	JJ
cord-348010-m3a3utvz	174	30	care	care	NN
cord-348010-m3a3utvz	174	31	or	or	CC
cord-348010-m3a3utvz	174	32	political	political	JJ
cord-348010-m3a3utvz	174	33	measures	measure	NNS
cord-348010-m3a3utvz	174	34	to	to	TO
cord-348010-m3a3utvz	174	35	contain	contain	VB
cord-348010-m3a3utvz	174	36	further	further	JJ
cord-348010-m3a3utvz	174	37	infections	infection	NNS
cord-348010-m3a3utvz	174	38	,	,	,
cord-348010-m3a3utvz	174	39	see	see	VB
cord-348010-m3a3utvz	174	40	for	for	IN
cord-348010-m3a3utvz	174	41	instance	instance	NN
cord-348010-m3a3utvz	174	42	[	[	-LRB-
cord-348010-m3a3utvz	174	43	21	21	CD
cord-348010-m3a3utvz	174	44	,	,	,
cord-348010-m3a3utvz	174	45	22	22	CD
cord-348010-m3a3utvz	174	46	]	]	-RRB-
cord-348010-m3a3utvz	174	47	.	.	.
cord-348010-m3a3utvz	175	1	We	-PRON-	PRP
cord-348010-m3a3utvz	175	2	note	note	VBP
cord-348010-m3a3utvz	175	3	,	,	,
cord-348010-m3a3utvz	175	4	that	that	IN
cord-348010-m3a3utvz	175	5	for	for	IN
cord-348010-m3a3utvz	175	6	modelling	model	VBG
cord-348010-m3a3utvz	175	7	one	one	CD
cord-348010-m3a3utvz	175	8	assumes	assume	VBZ
cord-348010-m3a3utvz	175	9	homogeneity	homogeneity	NN
cord-348010-m3a3utvz	175	10	within	within	IN
cord-348010-m3a3utvz	175	11	the	the	DT
cord-348010-m3a3utvz	175	12	separate	separate	JJ
cord-348010-m3a3utvz	175	13	classes	class	NNS
cord-348010-m3a3utvz	175	14	of	of	IN
cord-348010-m3a3utvz	175	15	population	population	NN
cord-348010-m3a3utvz	175	16	with	with	IN
cord-348010-m3a3utvz	175	17	respect	respect	NN
cord-348010-m3a3utvz	175	18	to	to	IN
cord-348010-m3a3utvz	175	19	contact	contact	NN
cord-348010-m3a3utvz	175	20	behaviour	behaviour	NN
cord-348010-m3a3utvz	175	21	and	and	CC
cord-348010-m3a3utvz	175	22	course	course	NN
cord-348010-m3a3utvz	175	23	of	of	IN
cord-348010-m3a3utvz	175	24	infection	infection	NN
cord-348010-m3a3utvz	175	25	.	.	.
cord-348010-m3a3utvz	176	1	Otherwise	otherwise	RB
cord-348010-m3a3utvz	176	2	,	,	,
cord-348010-m3a3utvz	176	3	a	a	DT
cord-348010-m3a3utvz	176	4	further	further	JJ
cord-348010-m3a3utvz	176	5	subdivision	subdivision	NN
cord-348010-m3a3utvz	176	6	is	be	VBZ
cord-348010-m3a3utvz	176	7	necessary	necessary	JJ
cord-348010-m3a3utvz	176	8	.	.	.
cord-348010-m3a3utvz	177	1	In	in	IN
cord-348010-m3a3utvz	177	2	the	the	DT
cord-348010-m3a3utvz	177	3	same	same	JJ
cord-348010-m3a3utvz	177	4	manner	manner	NN
cord-348010-m3a3utvz	177	5	,	,	,
cord-348010-m3a3utvz	177	6	the	the	DT
cord-348010-m3a3utvz	177	7	durations	duration	NNS
cord-348010-m3a3utvz	177	8	mentioned	mention	VBN
cord-348010-m3a3utvz	177	9	above	above	RB
cord-348010-m3a3utvz	177	10	are	be	VBP
cord-348010-m3a3utvz	177	11	averaged	average	VBN
cord-348010-m3a3utvz	177	12	quantities	quantity	NNS
cord-348010-m3a3utvz	177	13	.	.	.
cord-348010-m3a3utvz	178	1	The	the	DT
cord-348010-m3a3utvz	178	2	real	real	JJ
cord-348010-m3a3utvz	178	3	existing	exist	VBG
cord-348010-m3a3utvz	178	4	heterogeneity	heterogeneity	NN
cord-348010-m3a3utvz	178	5	even	even	RB
cord-348010-m3a3utvz	178	6	within	within	IN
cord-348010-m3a3utvz	178	7	the	the	DT
cord-348010-m3a3utvz	178	8	same	same	JJ
cord-348010-m3a3utvz	178	9	class	class	NN
cord-348010-m3a3utvz	178	10	is	be	VBZ
cord-348010-m3a3utvz	178	11	averaged	average	VBN
cord-348010-m3a3utvz	178	12	based	base	VBN
cord-348010-m3a3utvz	178	13	on	on	IN
cord-348010-m3a3utvz	178	14	the	the	DT
cord-348010-m3a3utvz	178	15	large	large	JJ
cord-348010-m3a3utvz	178	16	number	number	NN
cord-348010-m3a3utvz	178	17	of	of	IN
cord-348010-m3a3utvz	178	18	individuals	individual	NNS
cord-348010-m3a3utvz	178	19	.	.	.
cord-348010-m3a3utvz	179	1	Depending	depend	VBG
cord-348010-m3a3utvz	179	2	on	on	IN
cord-348010-m3a3utvz	179	3	specific	specific	JJ
cord-348010-m3a3utvz	179	4	characteristics	characteristic	NNS
cord-348010-m3a3utvz	179	5	of	of	IN
cord-348010-m3a3utvz	179	6	infection	infection	NN
cord-348010-m3a3utvz	179	7	the	the	DT
cord-348010-m3a3utvz	179	8	population	population	NN
cord-348010-m3a3utvz	179	9	is	be	VBZ
cord-348010-m3a3utvz	179	10	divided	divide	VBN
cord-348010-m3a3utvz	179	11	into	into	IN
cord-348010-m3a3utvz	179	12	disjoint	disjoint	JJ
cord-348010-m3a3utvz	179	13	subsets	subset	NNS
cord-348010-m3a3utvz	179	14	(	(	-LRB-
cord-348010-m3a3utvz	179	15	classes	class	NNS
cord-348010-m3a3utvz	179	16	,	,	,
cord-348010-m3a3utvz	179	17	compartments	compartment	NNS
cord-348010-m3a3utvz	179	18	)	)	-RRB-
cord-348010-m3a3utvz	179	19	(	(	-LRB-
cord-348010-m3a3utvz	179	20	see	see	VB
cord-348010-m3a3utvz	179	21	remarks	remark	NNS
cord-348010-m3a3utvz	179	22	2.2	2.2	CD
cord-348010-m3a3utvz	179	23	concerning	concern	VBG
cord-348010-m3a3utvz	179	24	terms	term	NNS
cord-348010-m3a3utvz	179	25	like	like	IN
cord-348010-m3a3utvz	179	26	'	'	``
cord-348010-m3a3utvz	179	27	number	number	NN
cord-348010-m3a3utvz	179	28	'	'	''
cord-348010-m3a3utvz	179	29	and	and	CC
cord-348010-m3a3utvz	179	30	'	'	``
cord-348010-m3a3utvz	179	31	fraction	fraction	NN
cord-348010-m3a3utvz	179	32	'	'	''
cord-348010-m3a3utvz	179	33	)	)	-RRB-
cord-348010-m3a3utvz	179	34	.	.	.
cord-348010-m3a3utvz	180	1	(	(	-LRB-
cord-348010-m3a3utvz	180	2	i	i	NN
cord-348010-m3a3utvz	180	3	)	)	-RRB-
cord-348010-m3a3utvz	181	1	The	the	DT
cord-348010-m3a3utvz	181	2	number	number	NN
cord-348010-m3a3utvz	181	3	of	of	IN
cord-348010-m3a3utvz	181	4	persons	person	NNS
cord-348010-m3a3utvz	181	5	susceptible	susceptible	JJ
cord-348010-m3a3utvz	181	6	for	for	IN
cord-348010-m3a3utvz	181	7	an	an	DT
cord-348010-m3a3utvz	181	8	infection	infection	NN
cord-348010-m3a3utvz	181	9	is	be	VBZ
cord-348010-m3a3utvz	181	10	mostly	mostly	RB
cord-348010-m3a3utvz	181	11	abbreviated	abbreviate	VBN
cord-348010-m3a3utvz	181	12	by	by	IN
cord-348010-m3a3utvz	181	13	.	.	.
cord-348010-m3a3utvz	182	1	The	the	DT
cord-348010-m3a3utvz	182	2	fraction	fraction	NN
cord-348010-m3a3utvz	182	3	of	of	IN
cord-348010-m3a3utvz	182	4	w.r.t	w.r.t	NN
cord-348010-m3a3utvz	182	5	.	.	.
cord-348010-m3a3utvz	182	6	the	the	DT
cord-348010-m3a3utvz	182	7	whole	whole	JJ
cord-348010-m3a3utvz	182	8	population	population	NN
cord-348010-m3a3utvz	182	9	is	be	VBZ
cord-348010-m3a3utvz	182	10	abbreviated	abbreviate	VBN
cord-348010-m3a3utvz	182	11	by	by	IN
cord-348010-m3a3utvz	182	12	.	.	.
cord-348010-m3a3utvz	183	1	This	this	DT
cord-348010-m3a3utvz	183	2	class	class	NN
cord-348010-m3a3utvz	183	3	is	be	VBZ
cord-348010-m3a3utvz	183	4	also	also	RB
cord-348010-m3a3utvz	183	5	named	name	VBN
cord-348010-m3a3utvz	183	6	vulnerable	vulnerable	JJ
cord-348010-m3a3utvz	183	7	,	,	,
cord-348010-m3a3utvz	183	8	its	-PRON-	PRP$
cord-348010-m3a3utvz	183	9	members	member	NNS
cord-348010-m3a3utvz	183	10	are	be	VBP
cord-348010-m3a3utvz	183	11	potentially	potentially	RB
cord-348010-m3a3utvz	183	12	at	at	IN
cord-348010-m3a3utvz	183	13	risk	risk	NN
cord-348010-m3a3utvz	183	14	by	by	IN
cord-348010-m3a3utvz	183	15	the	the	DT
cord-348010-m3a3utvz	183	16	infection	infection	NN
cord-348010-m3a3utvz	183	17	.	.	.
cord-348010-m3a3utvz	184	1	(	(	-LRB-
cord-348010-m3a3utvz	184	2	ii	ii	NN
cord-348010-m3a3utvz	184	3	)	)	-RRB-
cord-348010-m3a3utvz	185	1	The	the	DT
cord-348010-m3a3utvz	185	2	number	number	NN
cord-348010-m3a3utvz	185	3	of	of	IN
cord-348010-m3a3utvz	185	4	infected	infected	JJ
cord-348010-m3a3utvz	185	5	persons	person	NNS
cord-348010-m3a3utvz	185	6	is	be	VBZ
cord-348010-m3a3utvz	185	7	named	name	VBN
cord-348010-m3a3utvz	185	8	by	by	IN
cord-348010-m3a3utvz	185	9	,	,	,
cord-348010-m3a3utvz	185	10	the	the	DT
cord-348010-m3a3utvz	185	11	fraction	fraction	NN
cord-348010-m3a3utvz	185	12	by	by	IN
cord-348010-m3a3utvz	185	13	(	(	-LRB-
cord-348010-m3a3utvz	185	14	Greek	greek	JJ
cord-348010-m3a3utvz	185	15	iota	iota	NN
cord-348010-m3a3utvz	185	16	)	)	-RRB-
cord-348010-m3a3utvz	185	17	.	.	.
cord-348010-m3a3utvz	186	1	(	(	-LRB-
cord-348010-m3a3utvz	186	2	Using	use	VBG
cord-348010-m3a3utvz	186	3	,	,	,
cord-348010-m3a3utvz	186	4	there	there	EX
cord-348010-m3a3utvz	186	5	arise	arise	VBP
cord-348010-m3a3utvz	186	6	difficulties	difficulty	NNS
cord-348010-m3a3utvz	186	7	with	with	IN
cord-348010-m3a3utvz	186	8	the	the	DT
cord-348010-m3a3utvz	186	9	dot	dot	NN
cord-348010-m3a3utvz	186	10	indicating	indicate	VBG
cord-348010-m3a3utvz	186	11	the	the	DT
cord-348010-m3a3utvz	186	12	time	time	NN
cord-348010-m3a3utvz	186	13	derivation	derivation	NN
cord-348010-m3a3utvz	186	14	.	.	.
cord-348010-m3a3utvz	186	15	)	)	-RRB-
cord-348010-m3a3utvz	187	1	If	if	IN
cord-348010-m3a3utvz	187	2	the	the	DT
cord-348010-m3a3utvz	187	3	model	model	NN
cord-348010-m3a3utvz	187	4	is	be	VBZ
cord-348010-m3a3utvz	187	5	to	to	TO
cord-348010-m3a3utvz	187	6	be	be	VB
cord-348010-m3a3utvz	187	7	to	to	TO
cord-348010-m3a3utvz	187	8	take	take	VB
cord-348010-m3a3utvz	187	9	a	a	DT
cord-348010-m3a3utvz	187	10	latent	latent	JJ
cord-348010-m3a3utvz	187	11	period	period	NN
cord-348010-m3a3utvz	187	12	into	into	IN
cord-348010-m3a3utvz	187	13	account	account	NN
cord-348010-m3a3utvz	187	14	,	,	,
cord-348010-m3a3utvz	187	15	the	the	DT
cord-348010-m3a3utvz	187	16	class	class	NN
cord-348010-m3a3utvz	187	17	of	of	IN
cord-348010-m3a3utvz	187	18	infected	infected	JJ
cord-348010-m3a3utvz	187	19	is	be	VBZ
cord-348010-m3a3utvz	187	20	divided	divide	VBN
cord-348010-m3a3utvz	187	21	into	into	IN
cord-348010-m3a3utvz	187	22	subclasses	subclass	NNS
cord-348010-m3a3utvz	187	23	in	in	IN
cord-348010-m3a3utvz	187	24	the	the	DT
cord-348010-m3a3utvz	187	25	following	following	JJ
cord-348010-m3a3utvz	187	26	way	way	NN
cord-348010-m3a3utvz	187	27	.	.	.
cord-348010-m3a3utvz	188	1	(	(	-LRB-
cord-348010-m3a3utvz	188	2	A	a	NN
cord-348010-m3a3utvz	188	3	)	)	-RRB-
cord-348010-m3a3utvz	189	1	The	the	DT
cord-348010-m3a3utvz	189	2	number	number	NN
cord-348010-m3a3utvz	189	3	of	of	IN
cord-348010-m3a3utvz	189	4	exposed	expose	VBN
cord-348010-m3a3utvz	189	5	persons	person	NNS
cord-348010-m3a3utvz	189	6	which	which	WDT
cord-348010-m3a3utvz	189	7	had	have	VBD
cord-348010-m3a3utvz	189	8	an	an	DT
cord-348010-m3a3utvz	189	9	adequate	adequate	JJ
cord-348010-m3a3utvz	189	10	contact	contact	NN
cord-348010-m3a3utvz	189	11	with	with	IN
cord-348010-m3a3utvz	189	12	an	an	DT
cord-348010-m3a3utvz	189	13	infectious	infectious	JJ
cord-348010-m3a3utvz	189	14	infected	infect	VBN
cord-348010-m3a3utvz	189	15	individual	individual	NN
cord-348010-m3a3utvz	189	16	is	be	VBZ
cord-348010-m3a3utvz	189	17	abbreviated	abbreviate	VBN
cord-348010-m3a3utvz	189	18	by	by	IN
cord-348010-m3a3utvz	189	19	and	and	CC
cord-348010-m3a3utvz	189	20	,	,	,
cord-348010-m3a3utvz	189	21	respectively	respectively	RB
cord-348010-m3a3utvz	189	22	.	.	.
cord-348010-m3a3utvz	190	1	That	that	DT
cord-348010-m3a3utvz	190	2	means	mean	VBZ
cord-348010-m3a3utvz	190	3	,	,	,
cord-348010-m3a3utvz	190	4	these	these	DT
cord-348010-m3a3utvz	190	5	persons	person	NNS
cord-348010-m3a3utvz	190	6	already	already	RB
cord-348010-m3a3utvz	190	7	have	have	VBP
cord-348010-m3a3utvz	190	8	the	the	DT
cord-348010-m3a3utvz	190	9	pathogen	pathogen	NN
cord-348010-m3a3utvz	190	10	of	of	IN
cord-348010-m3a3utvz	190	11	infection	infection	NN
cord-348010-m3a3utvz	190	12	,	,	,
cord-348010-m3a3utvz	190	13	but	but	CC
cord-348010-m3a3utvz	190	14	can	can	MD
cord-348010-m3a3utvz	190	15	not	not	RB
cord-348010-m3a3utvz	190	16	yet	yet	RB
cord-348010-m3a3utvz	190	17	transmit	transmit	VB
cord-348010-m3a3utvz	190	18	it	-PRON-	PRP
cord-348010-m3a3utvz	190	19	to	to	IN
cord-348010-m3a3utvz	190	20	further	further	JJ
cord-348010-m3a3utvz	190	21	persons	person	NNS
cord-348010-m3a3utvz	190	22	.	.	.
cord-348010-m3a3utvz	191	1	The	the	DT
cord-348010-m3a3utvz	191	2	mean	mean	JJ
cord-348010-m3a3utvz	191	3	duration	duration	NN
cord-348010-m3a3utvz	191	4	of	of	IN
cord-348010-m3a3utvz	191	5	disposition	disposition	NN
cord-348010-m3a3utvz	191	6	in	in	IN
cord-348010-m3a3utvz	191	7	this	this	DT
cord-348010-m3a3utvz	191	8	class	class	NN
cord-348010-m3a3utvz	191	9	is	be	VBZ
cord-348010-m3a3utvz	191	10	referred	refer	VBN
cord-348010-m3a3utvz	191	11	to	to	IN
cord-348010-m3a3utvz	191	12	as	as	RB
cord-348010-m3a3utvz	191	13	latent	latent	JJ
cord-348010-m3a3utvz	191	14	period	period	NN
cord-348010-m3a3utvz	191	15	.	.	.
cord-348010-m3a3utvz	192	1	(	(	-LRB-
cord-348010-m3a3utvz	192	2	B	b	NN
cord-348010-m3a3utvz	192	3	)	)	-RRB-
cord-348010-m3a3utvz	193	1	The	the	DT
cord-348010-m3a3utvz	193	2	number	number	NN
cord-348010-m3a3utvz	193	3	of	of	IN
cord-348010-m3a3utvz	193	4	infectious	infectious	JJ
cord-348010-m3a3utvz	193	5	persons	person	NNS
cord-348010-m3a3utvz	193	6	is	be	VBZ
cord-348010-m3a3utvz	193	7	abbreviated	abbreviate	VBN
cord-348010-m3a3utvz	193	8	by	by	IN
cord-348010-m3a3utvz	193	9	and	and	CC
cord-348010-m3a3utvz	193	10	,	,	,
cord-348010-m3a3utvz	193	11	respectively	respectively	RB
cord-348010-m3a3utvz	193	12	.	.	.
cord-348010-m3a3utvz	194	1	This	this	DT
cord-348010-m3a3utvz	194	2	class	class	NN
cord-348010-m3a3utvz	194	3	contains	contain	VBZ
cord-348010-m3a3utvz	194	4	former	former	JJ
cord-348010-m3a3utvz	194	5	exposed	expose	VBN
cord-348010-m3a3utvz	194	6	persons	person	NNS
cord-348010-m3a3utvz	194	7	which	which	WDT
cord-348010-m3a3utvz	194	8	have	have	VBP
cord-348010-m3a3utvz	194	9	become	become	VBN
cord-348010-m3a3utvz	194	10	infectious	infectious	JJ
cord-348010-m3a3utvz	194	11	after	after	IN
cord-348010-m3a3utvz	194	12	ending	end	VBG
cord-348010-m3a3utvz	194	13	of	of	IN
cord-348010-m3a3utvz	194	14	latent	latent	JJ
cord-348010-m3a3utvz	194	15	period	period	NN
cord-348010-m3a3utvz	194	16	.	.	.
cord-348010-m3a3utvz	195	1	Via	via	IN
cord-348010-m3a3utvz	195	2	an	an	DT
cord-348010-m3a3utvz	195	3	adequate	adequate	JJ
cord-348010-m3a3utvz	195	4	contact	contact	NN
cord-348010-m3a3utvz	195	5	they	-PRON-	PRP
cord-348010-m3a3utvz	195	6	can	can	MD
cord-348010-m3a3utvz	195	7	infect	infect	VB
cord-348010-m3a3utvz	195	8	susceptible	susceptible	JJ
cord-348010-m3a3utvz	195	9	persons	person	NNS
cord-348010-m3a3utvz	195	10	.	.	.
cord-348010-m3a3utvz	196	1	The	the	DT
cord-348010-m3a3utvz	196	2	mean	mean	JJ
cord-348010-m3a3utvz	196	3	time	time	NN
cord-348010-m3a3utvz	196	4	duration	duration	NN
cord-348010-m3a3utvz	196	5	between	between	IN
cord-348010-m3a3utvz	196	6	infection	infection	NN
cord-348010-m3a3utvz	196	7	and	and	CC
cord-348010-m3a3utvz	196	8	first	first	JJ
cord-348010-m3a3utvz	196	9	appearance	appearance	NN
cord-348010-m3a3utvz	196	10	of	of	IN
cord-348010-m3a3utvz	196	11	symptoms	symptom	NNS
cord-348010-m3a3utvz	196	12	is	be	VBZ
cord-348010-m3a3utvz	196	13	named	name	VBN
cord-348010-m3a3utvz	196	14	incubation	incubation	NN
cord-348010-m3a3utvz	196	15	period	period	NN
cord-348010-m3a3utvz	196	16	.	.	.
cord-348010-m3a3utvz	197	1	The	the	DT
cord-348010-m3a3utvz	197	2	latent	latent	JJ
cord-348010-m3a3utvz	197	3	period	period	NN
cord-348010-m3a3utvz	197	4	can	can	MD
cord-348010-m3a3utvz	197	5	be	be	VB
cord-348010-m3a3utvz	197	6	shorter	short	JJR
cord-348010-m3a3utvz	197	7	as	as	IN
cord-348010-m3a3utvz	197	8	the	the	DT
cord-348010-m3a3utvz	197	9	incubation	incubation	NN
cord-348010-m3a3utvz	197	10	one	one	CD
cord-348010-m3a3utvz	197	11	.	.	.
cord-348010-m3a3utvz	198	1	Besides	besides	RB
cord-348010-m3a3utvz	198	2	,	,	,
cord-348010-m3a3utvz	198	3	the	the	DT
cord-348010-m3a3utvz	198	4	infectious	infectious	JJ
cord-348010-m3a3utvz	198	5	stage	stage	NN
cord-348010-m3a3utvz	198	6	can	can	MD
cord-348010-m3a3utvz	198	7	end	end	VB
cord-348010-m3a3utvz	198	8	before	before	IN
cord-348010-m3a3utvz	198	9	the	the	DT
cord-348010-m3a3utvz	198	10	symptoms	symptom	NNS
cord-348010-m3a3utvz	198	11	disappear	disappear	VBP
cord-348010-m3a3utvz	198	12	.	.	.
cord-348010-m3a3utvz	199	1	Depending	depend	VBG
cord-348010-m3a3utvz	199	2	on	on	IN
cord-348010-m3a3utvz	199	3	concrete	concrete	JJ
cord-348010-m3a3utvz	199	4	circumstances	circumstance	NNS
cord-348010-m3a3utvz	199	5	,	,	,
cord-348010-m3a3utvz	199	6	the	the	DT
cord-348010-m3a3utvz	199	7	class	class	NN
cord-348010-m3a3utvz	199	8	can	can	MD
cord-348010-m3a3utvz	199	9	be	be	VB
cord-348010-m3a3utvz	199	10	further	further	RB
cord-348010-m3a3utvz	199	11	divided	divide	VBN
cord-348010-m3a3utvz	199	12	,	,	,
cord-348010-m3a3utvz	199	13	with	with	IN
cord-348010-m3a3utvz	199	14	regard	regard	NN
cord-348010-m3a3utvz	199	15	to	to	IN
cord-348010-m3a3utvz	199	16	time	time	NN
cord-348010-m3a3utvz	199	17	and/or	and/or	CC
cord-348010-m3a3utvz	199	18	in	in	IN
cord-348010-m3a3utvz	199	19	parallel	parallel	NN
cord-348010-m3a3utvz	199	20	.	.	.
cord-348010-m3a3utvz	200	1	A	a	DT
cord-348010-m3a3utvz	200	2	splitting	splitting	NN
cord-348010-m3a3utvz	200	3	with	with	IN
cord-348010-m3a3utvz	200	4	respect	respect	NN
cord-348010-m3a3utvz	200	5	to	to	IN
cord-348010-m3a3utvz	200	6	time	time	NN
cord-348010-m3a3utvz	200	7	can	can	MD
cord-348010-m3a3utvz	200	8	be	be	VB
cord-348010-m3a3utvz	200	9	done	do	VBN
cord-348010-m3a3utvz	200	10	into	into	IN
cord-348010-m3a3utvz	200	11	(	(	-LRB-
cord-348010-m3a3utvz	200	12	a	a	DT
cord-348010-m3a3utvz	200	13	)	)	-RRB-
cord-348010-m3a3utvz	200	14	a	a	DT
cord-348010-m3a3utvz	200	15	class	class	NN
cord-348010-m3a3utvz	200	16	1	1	CD
cord-348010-m3a3utvz	200	17	of	of	IN
cord-348010-m3a3utvz	200	18	infectious	infectious	JJ
cord-348010-m3a3utvz	200	19	persons	person	NNS
cord-348010-m3a3utvz	200	20	without	without	IN
cord-348010-m3a3utvz	200	21	symptoms	symptom	NNS
cord-348010-m3a3utvz	200	22	,	,	,
cord-348010-m3a3utvz	200	23	i.e.	i.e.	FW
cord-348010-m3a3utvz	200	24	,	,	,
cord-348010-m3a3utvz	200	25	before	before	IN
cord-348010-m3a3utvz	200	26	ending	end	VBG
cord-348010-m3a3utvz	200	27	the	the	DT
cord-348010-m3a3utvz	200	28	incubation	incubation	NN
cord-348010-m3a3utvz	200	29	period	period	NN
cord-348010-m3a3utvz	200	30	.	.	.
cord-348010-m3a3utvz	201	1	(	(	-LRB-
cord-348010-m3a3utvz	201	2	b	b	LS
cord-348010-m3a3utvz	201	3	)	)	-RRB-
cord-348010-m3a3utvz	201	4	a	a	DT
cord-348010-m3a3utvz	201	5	class	class	NN
cord-348010-m3a3utvz	201	6	2	2	CD
cord-348010-m3a3utvz	201	7	of	of	IN
cord-348010-m3a3utvz	201	8	infectious	infectious	JJ
cord-348010-m3a3utvz	201	9	persons	person	NNS
cord-348010-m3a3utvz	201	10	with	with	IN
cord-348010-m3a3utvz	201	11	symptoms	symptom	NNS
cord-348010-m3a3utvz	201	12	,	,	,
cord-348010-m3a3utvz	201	13	i.e.	i.e.	FW
cord-348010-m3a3utvz	201	14	,	,	,
cord-348010-m3a3utvz	201	15	after	after	IN
cord-348010-m3a3utvz	201	16	ending	end	VBG
cord-348010-m3a3utvz	201	17	the	the	DT
cord-348010-m3a3utvz	201	18	incubation	incubation	NN
cord-348010-m3a3utvz	201	19	period	period	NN
cord-348010-m3a3utvz	201	20	.	.	.
cord-348010-m3a3utvz	202	1	If	if	IN
cord-348010-m3a3utvz	202	2	necessary	necessary	JJ
cord-348010-m3a3utvz	202	3	,	,	,
cord-348010-m3a3utvz	202	4	the	the	DT
cord-348010-m3a3utvz	202	5	last	last	JJ
cord-348010-m3a3utvz	202	6	class	class	NN
cord-348010-m3a3utvz	202	7	2	2	CD
cord-348010-m3a3utvz	202	8	can	can	MD
cord-348010-m3a3utvz	202	9	be	be	VB
cord-348010-m3a3utvz	202	10	divided	divide	VBN
cord-348010-m3a3utvz	202	11	in	in	IN
cord-348010-m3a3utvz	202	12	parallel	parallel	NN
cord-348010-m3a3utvz	202	13	into	into	IN
cord-348010-m3a3utvz	202	14	(	(	-LRB-
cord-348010-m3a3utvz	202	15	)	)	-RRB-
cord-348010-m3a3utvz	202	16	infectious	infectious	JJ
cord-348010-m3a3utvz	202	17	persons	person	NNS
cord-348010-m3a3utvz	202	18	21	21	CD
cord-348010-m3a3utvz	202	19	showing	show	VBG
cord-348010-m3a3utvz	202	20	only	only	RB
cord-348010-m3a3utvz	202	21	weak	weak	JJ
cord-348010-m3a3utvz	202	22	or	or	CC
cord-348010-m3a3utvz	202	23	no	no	DT
cord-348010-m3a3utvz	202	24	symptoms	symptom	NNS
cord-348010-m3a3utvz	202	25	.	.	.
cord-348010-m3a3utvz	203	1	These	these	DT
cord-348010-m3a3utvz	203	2	individuals	individual	NNS
cord-348010-m3a3utvz	203	3	are	be	VBP
cord-348010-m3a3utvz	203	4	not	not	RB
cord-348010-m3a3utvz	203	5	aware	aware	JJ
cord-348010-m3a3utvz	203	6	of	of	IN
cord-348010-m3a3utvz	203	7	their	-PRON-	PRP$
cord-348010-m3a3utvz	203	8	disease	disease	NN
cord-348010-m3a3utvz	203	9	and	and	CC
cord-348010-m3a3utvz	203	10	danger	danger	NN
cord-348010-m3a3utvz	203	11	of	of	IN
cord-348010-m3a3utvz	203	12	infection	infection	NN
cord-348010-m3a3utvz	203	13	for	for	IN
cord-348010-m3a3utvz	203	14	others	other	NNS
cord-348010-m3a3utvz	203	15	.	.	.
cord-348010-m3a3utvz	204	1	Therefore	therefore	RB
cord-348010-m3a3utvz	204	2	,	,	,
cord-348010-m3a3utvz	204	3	they	-PRON-	PRP
cord-348010-m3a3utvz	204	4	do	do	VBP
cord-348010-m3a3utvz	204	5	not	not	RB
cord-348010-m3a3utvz	204	6	reduce	reduce	VB
cord-348010-m3a3utvz	204	7	their	-PRON-	PRP$
cord-348010-m3a3utvz	204	8	contact	contact	NN
cord-348010-m3a3utvz	204	9	behaviour	behaviour	NN
cord-348010-m3a3utvz	204	10	,	,	,
cord-348010-m3a3utvz	204	11	at	at	IN
cord-348010-m3a3utvz	204	12	least	least	JJS
cord-348010-m3a3utvz	204	13	not	not	RB
cord-348010-m3a3utvz	204	14	more	more	JJR
cord-348010-m3a3utvz	204	15	than	than	IN
cord-348010-m3a3utvz	204	16	it	-PRON-	PRP
cord-348010-m3a3utvz	204	17	is	be	VBZ
cord-348010-m3a3utvz	204	18	currently	currently	RB
cord-348010-m3a3utvz	204	19	usual	usual	JJ
cord-348010-m3a3utvz	204	20	.	.	.
cord-348010-m3a3utvz	205	1	(	(	-LRB-
cord-348010-m3a3utvz	205	2	)	)	-RRB-
cord-348010-m3a3utvz	205	3	infectious	infectious	JJ
cord-348010-m3a3utvz	205	4	persons	person	NNS
cord-348010-m3a3utvz	205	5	22	22	CD
cord-348010-m3a3utvz	205	6	exhibiting	exhibit	VBG
cord-348010-m3a3utvz	205	7	distinct	distinct	JJ
cord-348010-m3a3utvz	205	8	symptoms	symptom	NNS
cord-348010-m3a3utvz	205	9	.	.	.
cord-348010-m3a3utvz	206	1	Thus	thus	RB
cord-348010-m3a3utvz	206	2	,	,	,
cord-348010-m3a3utvz	206	3	they	-PRON-	PRP
cord-348010-m3a3utvz	206	4	are	be	VBP
cord-348010-m3a3utvz	206	5	aware	aware	JJ
cord-348010-m3a3utvz	206	6	of	of	IN
cord-348010-m3a3utvz	206	7	their	-PRON-	PRP$
cord-348010-m3a3utvz	206	8	disease	disease	NN
cord-348010-m3a3utvz	206	9	and	and	CC
cord-348010-m3a3utvz	206	10	,	,	,
cord-348010-m3a3utvz	206	11	therefore	therefore	RB
cord-348010-m3a3utvz	206	12	,	,	,
cord-348010-m3a3utvz	206	13	they	-PRON-	PRP
cord-348010-m3a3utvz	206	14	strongly	strongly	RB
cord-348010-m3a3utvz	206	15	change	change	VBP
cord-348010-m3a3utvz	206	16	their	-PRON-	PRP$
cord-348010-m3a3utvz	206	17	contact	contact	NN
cord-348010-m3a3utvz	206	18	behaviour	behaviour	NN
cord-348010-m3a3utvz	206	19	or	or	CC
cord-348010-m3a3utvz	206	20	they	-PRON-	PRP
cord-348010-m3a3utvz	206	21	are	be	VBP
cord-348010-m3a3utvz	206	22	hospitalized	hospitalize	VBN
cord-348010-m3a3utvz	206	23	.	.	.
cord-348010-m3a3utvz	207	1	Sometimes	sometimes	RB
cord-348010-m3a3utvz	207	2	,	,	,
cord-348010-m3a3utvz	207	3	a	a	DT
cord-348010-m3a3utvz	207	4	further	further	JJ
cord-348010-m3a3utvz	207	5	subdivision	subdivision	NN
cord-348010-m3a3utvz	207	6	in	in	IN
cord-348010-m3a3utvz	207	7	parallel	parallel	NN
cord-348010-m3a3utvz	207	8	is	be	VBZ
cord-348010-m3a3utvz	207	9	performed	perform	VBN
cord-348010-m3a3utvz	207	10	,	,	,
cord-348010-m3a3utvz	207	11	for	for	IN
cord-348010-m3a3utvz	207	12	instance	instance	NN
cord-348010-m3a3utvz	207	13	,	,	,
cord-348010-m3a3utvz	207	14	infectious	infectious	JJ
cord-348010-m3a3utvz	207	15	persons	person	NNS
cord-348010-m3a3utvz	207	16	(	(	-LRB-
cord-348010-m3a3utvz	207	17	without	without	IN
cord-348010-m3a3utvz	207	18	symptoms	symptom	NNS
cord-348010-m3a3utvz	207	19	)	)	-RRB-
cord-348010-m3a3utvz	207	20	in	in	IN
cord-348010-m3a3utvz	207	21	quarantine	quarantine	NN
cord-348010-m3a3utvz	207	22	can	can	MD
cord-348010-m3a3utvz	207	23	be	be	VB
cord-348010-m3a3utvz	207	24	considered	consider	VBN
cord-348010-m3a3utvz	207	25	,	,	,
cord-348010-m3a3utvz	207	26	see	see	VB
cord-348010-m3a3utvz	207	27	[	[	-LRB-
cord-348010-m3a3utvz	207	28	21	21	CD
cord-348010-m3a3utvz	207	29	]	]	-RRB-
cord-348010-m3a3utvz	207	30	.	.	.
cord-348010-m3a3utvz	208	1	(	(	-LRB-
cord-348010-m3a3utvz	208	2	iii	iii	NN
cord-348010-m3a3utvz	208	3	)	)	-RRB-
cord-348010-m3a3utvz	209	1	The	the	DT
cord-348010-m3a3utvz	209	2	number	number	NN
cord-348010-m3a3utvz	209	3	of	of	IN
cord-348010-m3a3utvz	209	4	recovered	recover	VBN
cord-348010-m3a3utvz	209	5	persons	person	NNS
cord-348010-m3a3utvz	209	6	is	be	VBZ
cord-348010-m3a3utvz	209	7	usually	usually	RB
cord-348010-m3a3utvz	209	8	abbreviated	abbreviate	VBN
cord-348010-m3a3utvz	209	9	by	by	IN
cord-348010-m3a3utvz	209	10	and	and	CC
cord-348010-m3a3utvz	209	11	,	,	,
cord-348010-m3a3utvz	209	12	respectively	respectively	RB
cord-348010-m3a3utvz	209	13	.	.	.
cord-348010-m3a3utvz	210	1	Depending	depend	VBG
cord-348010-m3a3utvz	210	2	on	on	IN
cord-348010-m3a3utvz	210	3	the	the	DT
cord-348010-m3a3utvz	210	4	concrete	concrete	JJ
cord-348010-m3a3utvz	210	5	disease	disease	NN
cord-348010-m3a3utvz	210	6	,	,	,
cord-348010-m3a3utvz	210	7	recovered	recover	VBN
cord-348010-m3a3utvz	210	8	individuals	individual	NNS
cord-348010-m3a3utvz	210	9	may	may	MD
cord-348010-m3a3utvz	210	10	be	be	VB
cord-348010-m3a3utvz	210	11	temporarily	temporarily	RB
cord-348010-m3a3utvz	210	12	or	or	CC
cord-348010-m3a3utvz	210	13	permanently	permanently	RB
cord-348010-m3a3utvz	210	14	immune	immune	JJ
cord-348010-m3a3utvz	210	15	or	or	CC
cord-348010-m3a3utvz	210	16	immediately	immediately	RB
cord-348010-m3a3utvz	210	17	susceptible	susceptible	JJ
cord-348010-m3a3utvz	210	18	again	again	RB
cord-348010-m3a3utvz	210	19	,	,	,
cord-348010-m3a3utvz	210	20	see	see	VB
cord-348010-m3a3utvz	210	21	[	[	-LRB-
cord-348010-m3a3utvz	210	22	16	16	CD
cord-348010-m3a3utvz	210	23	]	]	-RRB-
cord-348010-m3a3utvz	210	24	and	and	CC
cord-348010-m3a3utvz	210	25	[	[	-LRB-
cord-348010-m3a3utvz	210	26	20	20	CD
cord-348010-m3a3utvz	210	27	]	]	-RRB-
cord-348010-m3a3utvz	210	28	for	for	IN
cord-348010-m3a3utvz	210	29	examples	example	NNS
cord-348010-m3a3utvz	210	30	,	,	,
cord-348010-m3a3utvz	210	31	e.g.	e.g.	RB
cord-348010-m3a3utvz	211	1	(	(	-LRB-
cord-348010-m3a3utvz	211	2	iv	iv	LS
cord-348010-m3a3utvz	211	3	)	)	-RRB-
cord-348010-m3a3utvz	212	1	The	the	DT
cord-348010-m3a3utvz	212	2	number	number	NN
cord-348010-m3a3utvz	212	3	of	of	IN
cord-348010-m3a3utvz	212	4	immune	immune	JJ
cord-348010-m3a3utvz	212	5	persons	person	NNS
cord-348010-m3a3utvz	212	6	is	be	VBZ
cord-348010-m3a3utvz	212	7	often	often	RB
cord-348010-m3a3utvz	212	8	named	name	VBN
cord-348010-m3a3utvz	212	9	by	by	IN
cord-348010-m3a3utvz	212	10	and	and	CC
cord-348010-m3a3utvz	212	11	,	,	,
cord-348010-m3a3utvz	212	12	respectively	respectively	RB
cord-348010-m3a3utvz	212	13	.	.	.
cord-348010-m3a3utvz	213	1	Often	often	RB
cord-348010-m3a3utvz	213	2	immune	immune	JJ
cord-348010-m3a3utvz	213	3	individuals	individual	NNS
cord-348010-m3a3utvz	213	4	are	be	VBP
cord-348010-m3a3utvz	213	5	included	include	VBN
cord-348010-m3a3utvz	213	6	into	into	IN
cord-348010-m3a3utvz	213	7	the	the	DT
cord-348010-m3a3utvz	213	8	class	class	NN
cord-348010-m3a3utvz	213	9	of	of	IN
cord-348010-m3a3utvz	213	10	recovered	recovered	JJ
cord-348010-m3a3utvz	213	11	ones	one	NNS
cord-348010-m3a3utvz	213	12	,	,	,
cord-348010-m3a3utvz	213	13	in	in	IN
cord-348010-m3a3utvz	213	14	particular	particular	JJ
cord-348010-m3a3utvz	213	15	,	,	,
cord-348010-m3a3utvz	213	16	if	if	IN
cord-348010-m3a3utvz	213	17	their	-PRON-	PRP$
cord-348010-m3a3utvz	213	18	acquired	acquire	VBN
cord-348010-m3a3utvz	213	19	immunity	immunity	NN
cord-348010-m3a3utvz	213	20	is	be	VBZ
cord-348010-m3a3utvz	213	21	permanent	permanent	JJ
cord-348010-m3a3utvz	213	22	.	.	.
cord-348010-m3a3utvz	214	1	Persons	person	NNS
cord-348010-m3a3utvz	214	2	can	can	MD
cord-348010-m3a3utvz	214	3	be	be	VB
cord-348010-m3a3utvz	214	4	immune	immune	JJ
cord-348010-m3a3utvz	214	5	via	via	IN
cord-348010-m3a3utvz	214	6	vaccination	vaccination	NN
cord-348010-m3a3utvz	214	7	(	(	-LRB-
cord-348010-m3a3utvz	214	8	passive	passive	JJ
cord-348010-m3a3utvz	214	9	immunisation	immunisation	NN
cord-348010-m3a3utvz	214	10	)	)	-RRB-
cord-348010-m3a3utvz	214	11	or	or	CC
cord-348010-m3a3utvz	214	12	by	by	IN
cord-348010-m3a3utvz	214	13	birth	birth	NN
cord-348010-m3a3utvz	214	14	(	(	-LRB-
cord-348010-m3a3utvz	214	15	or	or	CC
cord-348010-m3a3utvz	214	16	after	after	IN
cord-348010-m3a3utvz	214	17	survived	survive	VBN
cord-348010-m3a3utvz	214	18	disease	disease	NN
cord-348010-m3a3utvz	214	19	)	)	-RRB-
cord-348010-m3a3utvz	214	20	temporarily	temporarily	RB
cord-348010-m3a3utvz	214	21	or	or	CC
cord-348010-m3a3utvz	214	22	permanently	permanently	RB
cord-348010-m3a3utvz	214	23	(	(	-LRB-
cord-348010-m3a3utvz	214	24	active	active	JJ
cord-348010-m3a3utvz	214	25	immunisation	immunisation	NN
cord-348010-m3a3utvz	214	26	)	)	-RRB-
cord-348010-m3a3utvz	214	27	,	,	,
cord-348010-m3a3utvz	214	28	see	see	VB
cord-348010-m3a3utvz	214	29	[	[	-LRB-
cord-348010-m3a3utvz	214	30	16	16	CD
cord-348010-m3a3utvz	214	31	]	]	-RRB-
cord-348010-m3a3utvz	214	32	.	.	.
cord-348010-m3a3utvz	215	1	(	(	-LRB-
cord-348010-m3a3utvz	215	2	v	v	LS
cord-348010-m3a3utvz	215	3	)	)	-RRB-
cord-348010-m3a3utvz	215	4	The	the	DT
cord-348010-m3a3utvz	215	5	number	number	NN
cord-348010-m3a3utvz	215	6	of	of	IN
cord-348010-m3a3utvz	215	7	dead	dead	JJ
cord-348010-m3a3utvz	215	8	persons	person	NNS
cord-348010-m3a3utvz	215	9	is	be	VBZ
cord-348010-m3a3utvz	215	10	usually	usually	RB
cord-348010-m3a3utvz	215	11	abbreviated	abbreviate	VBN
cord-348010-m3a3utvz	215	12	by	by	IN
cord-348010-m3a3utvz	215	13	and	and	CC
cord-348010-m3a3utvz	215	14	,	,	,
cord-348010-m3a3utvz	215	15	respectively	respectively	RB
cord-348010-m3a3utvz	215	16	.	.	.
cord-348010-m3a3utvz	216	1	Sometimes	sometimes	RB
cord-348010-m3a3utvz	216	2	,	,	,
cord-348010-m3a3utvz	216	3	to	to	TO
cord-348010-m3a3utvz	216	4	simplify	simplify	VB
cord-348010-m3a3utvz	216	5	the	the	DT
cord-348010-m3a3utvz	216	6	model	model	NN
cord-348010-m3a3utvz	216	7	,	,	,
cord-348010-m3a3utvz	216	8	this	this	DT
cord-348010-m3a3utvz	216	9	class	class	NN
cord-348010-m3a3utvz	216	10	is	be	VBZ
cord-348010-m3a3utvz	216	11	included	include	VBN
cord-348010-m3a3utvz	216	12	into	into	IN
cord-348010-m3a3utvz	216	13	the	the	DT
cord-348010-m3a3utvz	216	14	recovered	recovered	JJ
cord-348010-m3a3utvz	216	15	or	or	CC
cord-348010-m3a3utvz	216	16	recovered	recover	VBN
cord-348010-m3a3utvz	216	17	immune	immune	JJ
cord-348010-m3a3utvz	216	18	persons	person	NNS
cord-348010-m3a3utvz	216	19	,	,	,
cord-348010-m3a3utvz	216	20	because	because	IN
cord-348010-m3a3utvz	216	21	they	-PRON-	PRP
cord-348010-m3a3utvz	216	22	are	be	VBP
cord-348010-m3a3utvz	216	23	not	not	RB
cord-348010-m3a3utvz	216	24	involved	involve	VBN
cord-348010-m3a3utvz	216	25	in	in	IN
cord-348010-m3a3utvz	216	26	the	the	DT
cord-348010-m3a3utvz	216	27	further	further	JJ
cord-348010-m3a3utvz	216	28	course	course	NN
cord-348010-m3a3utvz	216	29	of	of	IN
cord-348010-m3a3utvz	216	30	infection	infection	NN
cord-348010-m3a3utvz	216	31	.	.	.
cord-348010-m3a3utvz	217	1	However	however	RB
cord-348010-m3a3utvz	217	2	,	,	,
cord-348010-m3a3utvz	217	3	to	to	TO
cord-348010-m3a3utvz	217	4	get	get	VB
cord-348010-m3a3utvz	217	5	a	a	DT
cord-348010-m3a3utvz	217	6	complete	complete	JJ
cord-348010-m3a3utvz	217	7	result	result	NN
cord-348010-m3a3utvz	217	8	,	,	,
cord-348010-m3a3utvz	217	9	dead	dead	JJ
cord-348010-m3a3utvz	217	10	individuals	individual	NNS
cord-348010-m3a3utvz	217	11	should	should	MD
cord-348010-m3a3utvz	217	12	constitute	constitute	VB
cord-348010-m3a3utvz	217	13	an	an	DT
cord-348010-m3a3utvz	217	14	extra	extra	JJ
cord-348010-m3a3utvz	217	15	class	class	NN
cord-348010-m3a3utvz	217	16	.	.	.
cord-348010-m3a3utvz	218	1	This	this	DT
cord-348010-m3a3utvz	218	2	is	be	VBZ
cord-348010-m3a3utvz	218	3	particularly	particularly	RB
cord-348010-m3a3utvz	218	4	the	the	DT
cord-348010-m3a3utvz	218	5	case	case	NN
cord-348010-m3a3utvz	218	6	,	,	,
cord-348010-m3a3utvz	218	7	if	if	IN
cord-348010-m3a3utvz	218	8	the	the	DT
cord-348010-m3a3utvz	218	9	lethality	lethality	NN
cord-348010-m3a3utvz	218	10	is	be	VBZ
cord-348010-m3a3utvz	218	11	influenced	influence	VBN
cord-348010-m3a3utvz	218	12	by	by	IN
cord-348010-m3a3utvz	218	13	outer	outer	JJ
cord-348010-m3a3utvz	218	14	circumstances	circumstance	NNS
cord-348010-m3a3utvz	218	15	like	like	IN
cord-348010-m3a3utvz	218	16	availability	availability	NN
cord-348010-m3a3utvz	218	17	of	of	IN
cord-348010-m3a3utvz	218	18	intensive	intensive	JJ
cord-348010-m3a3utvz	218	19	-	-	HYPH
cord-348010-m3a3utvz	218	20	care	care	NN
cord-348010-m3a3utvz	218	21	units	unit	NNS
cord-348010-m3a3utvz	218	22	in	in	IN
cord-348010-m3a3utvz	218	23	hospitals	hospital	NNS
cord-348010-m3a3utvz	218	24	,	,	,
cord-348010-m3a3utvz	218	25	see	see	VB
cord-348010-m3a3utvz	218	26	[	[	-LRB-
cord-348010-m3a3utvz	218	27	21	21	CD
cord-348010-m3a3utvz	218	28	]	]	-RRB-
cord-348010-m3a3utvz	218	29	.	.	.
cord-348010-m3a3utvz	219	1	A	a	DT
cord-348010-m3a3utvz	219	2	further	further	JJ
cord-348010-m3a3utvz	219	3	subdivision	subdivision	NN
cord-348010-m3a3utvz	219	4	of	of	IN
cord-348010-m3a3utvz	219	5	the	the	DT
cord-348010-m3a3utvz	219	6	classes	class	NNS
cord-348010-m3a3utvz	219	7	defined	define	VBN
cord-348010-m3a3utvz	219	8	above	above	RB
cord-348010-m3a3utvz	219	9	by	by	IN
cord-348010-m3a3utvz	219	10	attributes	attribute	NNS
cord-348010-m3a3utvz	219	11	like	like	IN
cord-348010-m3a3utvz	219	12	age	age	NN
cord-348010-m3a3utvz	219	13	,	,	,
cord-348010-m3a3utvz	219	14	danger	danger	NN
cord-348010-m3a3utvz	219	15	,	,	,
cord-348010-m3a3utvz	219	16	social	social	JJ
cord-348010-m3a3utvz	219	17	state	state	NN
cord-348010-m3a3utvz	219	18	or	or	CC
cord-348010-m3a3utvz	219	19	sex	sex	NN
cord-348010-m3a3utvz	219	20	is	be	VBZ
cord-348010-m3a3utvz	219	21	discussed	discuss	VBN
cord-348010-m3a3utvz	219	22	in	in	IN
cord-348010-m3a3utvz	219	23	detail	detail	NN
cord-348010-m3a3utvz	219	24	in	in	IN
cord-348010-m3a3utvz	219	25	[	[	-LRB-
cord-348010-m3a3utvz	219	26	16	16	CD
cord-348010-m3a3utvz	219	27	]	]	-RRB-
cord-348010-m3a3utvz	219	28	and	and	CC
cord-348010-m3a3utvz	219	29	[	[	-LRB-
cord-348010-m3a3utvz	219	30	20	20	CD
cord-348010-m3a3utvz	219	31	]	]	-RRB-
cord-348010-m3a3utvz	219	32	.	.	.
cord-348010-m3a3utvz	220	1	Moreover	moreover	RB
cord-348010-m3a3utvz	220	2	,	,	,
cord-348010-m3a3utvz	220	3	in	in	IN
cord-348010-m3a3utvz	220	4	[	[	-LRB-
cord-348010-m3a3utvz	220	5	21	21	CD
cord-348010-m3a3utvz	220	6	]	]	-RRB-
cord-348010-m3a3utvz	220	7	,	,	,
cord-348010-m3a3utvz	220	8	pursuing	pursue	VBG
cord-348010-m3a3utvz	220	9	this	this	DT
cord-348010-m3a3utvz	220	10	way	way	NN
cord-348010-m3a3utvz	220	11	,	,	,
cord-348010-m3a3utvz	220	12	the	the	DT
cord-348010-m3a3utvz	220	13	authors	author	NNS
cord-348010-m3a3utvz	220	14	develop	develop	VBP
cord-348010-m3a3utvz	220	15	a	a	DT
cord-348010-m3a3utvz	220	16	suitable	suitable	JJ
cord-348010-m3a3utvz	220	17	as	as	IN
cord-348010-m3a3utvz	220	18	possible	possible	JJ
cord-348010-m3a3utvz	220	19	specific	specific	JJ
cord-348010-m3a3utvz	220	20	model	model	NN
cord-348010-m3a3utvz	220	21	for	for	IN
cord-348010-m3a3utvz	220	22	the	the	DT
cord-348010-m3a3utvz	220	23	description	description	NN
cord-348010-m3a3utvz	220	24	of	of	IN
cord-348010-m3a3utvz	220	25	SARS	SARS	NNP
cord-348010-m3a3utvz	220	26	-	-	HYPH
cord-348010-m3a3utvz	220	27	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	220	28	epidemic	epidemic	NN
cord-348010-m3a3utvz	220	29	in	in	IN
cord-348010-m3a3utvz	220	30	Germany	Germany	NNP
cord-348010-m3a3utvz	220	31	.	.	.
cord-348010-m3a3utvz	221	1	How	how	WRB
cord-348010-m3a3utvz	221	2	many	many	JJ
cord-348010-m3a3utvz	221	3	classes	class	NNS
cord-348010-m3a3utvz	221	4	have	have	VBP
cord-348010-m3a3utvz	221	5	to	to	TO
cord-348010-m3a3utvz	221	6	be	be	VB
cord-348010-m3a3utvz	221	7	considered	consider	VBN
cord-348010-m3a3utvz	221	8	for	for	IN
cord-348010-m3a3utvz	221	9	a	a	DT
cord-348010-m3a3utvz	221	10	concrete	concrete	JJ
cord-348010-m3a3utvz	221	11	model	model	NN
cord-348010-m3a3utvz	221	12	depends	depend	VBZ
cord-348010-m3a3utvz	221	13	on	on	IN
cord-348010-m3a3utvz	221	14	virological	virological	JJ
cord-348010-m3a3utvz	221	15	and	and	CC
cord-348010-m3a3utvz	221	16	medical	medical	JJ
cord-348010-m3a3utvz	221	17	findings	finding	NNS
cord-348010-m3a3utvz	221	18	,	,	,
cord-348010-m3a3utvz	221	19	and	and	CC
cord-348010-m3a3utvz	221	20	on	on	IN
cord-348010-m3a3utvz	221	21	how	how	WRB
cord-348010-m3a3utvz	221	22	far	far	RB
cord-348010-m3a3utvz	221	23	the	the	DT
cord-348010-m3a3utvz	221	24	models	model	NNS
cord-348010-m3a3utvz	221	25	sufficiently	sufficiently	RB
cord-348010-m3a3utvz	221	26	well	well	RB
cord-348010-m3a3utvz	221	27	represent	represent	VBP
cord-348010-m3a3utvz	221	28	the	the	DT
cord-348010-m3a3utvz	221	29	course	course	NN
cord-348010-m3a3utvz	221	30	of	of	IN
cord-348010-m3a3utvz	221	31	infection	infection	NN
cord-348010-m3a3utvz	221	32	as	as	RB
cord-348010-m3a3utvz	221	33	well	well	RB
cord-348010-m3a3utvz	221	34	as	as	IN
cord-348010-m3a3utvz	221	35	for	for	IN
cord-348010-m3a3utvz	221	36	which	which	WDT
cord-348010-m3a3utvz	221	37	purpose	purpose	NN
cord-348010-m3a3utvz	221	38	they	-PRON-	PRP
cord-348010-m3a3utvz	221	39	are	be	VBP
cord-348010-m3a3utvz	221	40	intended	intend	VBN
cord-348010-m3a3utvz	221	41	.	.	.
cord-348010-m3a3utvz	222	1	In	in	IN
cord-348010-m3a3utvz	222	2	[	[	-LRB-
cord-348010-m3a3utvz	222	3	16	16	CD
cord-348010-m3a3utvz	222	4	]	]	-RRB-
cord-348010-m3a3utvz	222	5	and	and	CC
cord-348010-m3a3utvz	222	6	[	[	-LRB-
cord-348010-m3a3utvz	222	7	20	20	CD
cord-348010-m3a3utvz	222	8	]	]	-RRB-
cord-348010-m3a3utvz	222	9	many	many	JJ
cord-348010-m3a3utvz	222	10	examples	example	NNS
cord-348010-m3a3utvz	222	11	are	be	VBP
cord-348010-m3a3utvz	222	12	discussed	discuss	VBN
cord-348010-m3a3utvz	222	13	.	.	.
cord-348010-m3a3utvz	223	1	Concerning	concern	VBG
cord-348010-m3a3utvz	223	2	the	the	DT
cord-348010-m3a3utvz	223	3	virus	virus	NN
cord-348010-m3a3utvz	223	4	SARS	SARS	NNP
cord-348010-m3a3utvz	223	5	-	-	HYPH
cord-348010-m3a3utvz	223	6	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	223	7	,	,	,
cord-348010-m3a3utvz	223	8	up	up	IN
cord-348010-m3a3utvz	223	9	to	to	IN
cord-348010-m3a3utvz	223	10	now	now	RB
cord-348010-m3a3utvz	223	11	it	-PRON-	PRP
cord-348010-m3a3utvz	223	12	seems	seem	VBZ
cord-348010-m3a3utvz	223	13	to	to	TO
cord-348010-m3a3utvz	223	14	be	be	VB
cord-348010-m3a3utvz	223	15	assured	assure	VBN
cord-348010-m3a3utvz	223	16	,	,	,
cord-348010-m3a3utvz	223	17	that	that	IN
cord-348010-m3a3utvz	223	18	infected	infected	JJ
cord-348010-m3a3utvz	223	19	persons	person	NNS
cord-348010-m3a3utvz	223	20	are	be	VBP
cord-348010-m3a3utvz	223	21	already	already	RB
cord-348010-m3a3utvz	223	22	infectious	infectious	JJ
cord-348010-m3a3utvz	223	23	before	before	IN
cord-348010-m3a3utvz	223	24	showing	show	VBG
cord-348010-m3a3utvz	223	25	symptoms	symptom	NNS
cord-348010-m3a3utvz	223	26	.	.	.
cord-348010-m3a3utvz	224	1	Therefore	therefore	RB
cord-348010-m3a3utvz	224	2	,	,	,
cord-348010-m3a3utvz	224	3	the	the	DT
cord-348010-m3a3utvz	224	4	latent	latent	JJ
cord-348010-m3a3utvz	224	5	period	period	NN
cord-348010-m3a3utvz	224	6	is	be	VBZ
cord-348010-m3a3utvz	224	7	essentially	essentially	RB
cord-348010-m3a3utvz	224	8	shorter	short	JJR
cord-348010-m3a3utvz	224	9	than	than	IN
cord-348010-m3a3utvz	224	10	the	the	DT
cord-348010-m3a3utvz	224	11	incubation	incubation	NN
cord-348010-m3a3utvz	224	12	one	one	CD
cord-348010-m3a3utvz	224	13	.	.	.
cord-348010-m3a3utvz	225	1	Moreover	moreover	RB
cord-348010-m3a3utvz	225	2	,	,	,
cord-348010-m3a3utvz	225	3	there	there	EX
cord-348010-m3a3utvz	225	4	are	be	VBP
cord-348010-m3a3utvz	225	5	infected	infected	JJ
cord-348010-m3a3utvz	225	6	persons	person	NNS
cord-348010-m3a3utvz	225	7	showing	show	VBG
cord-348010-m3a3utvz	225	8	after	after	IN
cord-348010-m3a3utvz	225	9	the	the	DT
cord-348010-m3a3utvz	225	10	incubation	incubation	NN
cord-348010-m3a3utvz	225	11	period	period	NN
cord-348010-m3a3utvz	226	1	no	no	UH
cord-348010-m3a3utvz	226	2	or	or	CC
cord-348010-m3a3utvz	226	3	only	only	JJ
cord-348010-m3a3utvz	226	4	weak	weak	JJ
cord-348010-m3a3utvz	226	5	symptoms	symptom	NNS
cord-348010-m3a3utvz	226	6	and	and	CC
cord-348010-m3a3utvz	227	1	being	be	VBG
cord-348010-m3a3utvz	227	2	nevertheless	nevertheless	RB
cord-348010-m3a3utvz	227	3	infectious	infectious	JJ
cord-348010-m3a3utvz	227	4	.	.	.
cord-348010-m3a3utvz	228	1	We	-PRON-	PRP
cord-348010-m3a3utvz	228	2	refer	refer	VBP
cord-348010-m3a3utvz	228	3	to	to	IN
cord-348010-m3a3utvz	228	4	[	[	-LRB-
cord-348010-m3a3utvz	228	5	1	1	CD
cord-348010-m3a3utvz	228	6	-	-	SYM
cord-348010-m3a3utvz	228	7	4	4	CD
cord-348010-m3a3utvz	228	8	]	]	-RRB-
cord-348010-m3a3utvz	228	9	and	and	CC
cord-348010-m3a3utvz	228	10	the	the	DT
cord-348010-m3a3utvz	228	11	references	reference	NNS
cord-348010-m3a3utvz	228	12	cited	cite	VBN
cord-348010-m3a3utvz	228	13	therein	therein	RB
cord-348010-m3a3utvz	228	14	.	.	.
cord-348010-m3a3utvz	229	1	A	a	DT
cord-348010-m3a3utvz	229	2	permanent	permanent	JJ
cord-348010-m3a3utvz	229	3	immunity	immunity	NN
cord-348010-m3a3utvz	229	4	after	after	IN
cord-348010-m3a3utvz	229	5	survived	survive	VBD
cord-348010-m3a3utvz	229	6	disease	disease	NN
cord-348010-m3a3utvz	229	7	is	be	VBZ
cord-348010-m3a3utvz	229	8	not	not	RB
cord-348010-m3a3utvz	229	9	yet	yet	RB
cord-348010-m3a3utvz	229	10	assured	assure	VBN
cord-348010-m3a3utvz	229	11	.	.	.
cord-348010-m3a3utvz	230	1	Some	some	DT
cord-348010-m3a3utvz	230	2	studies	study	NNS
cord-348010-m3a3utvz	230	3	indicate	indicate	VBP
cord-348010-m3a3utvz	230	4	only	only	RB
cord-348010-m3a3utvz	230	5	a	a	DT
cord-348010-m3a3utvz	230	6	temporary	temporary	JJ
cord-348010-m3a3utvz	230	7	immunity	immunity	NN
cord-348010-m3a3utvz	230	8	,	,	,
cord-348010-m3a3utvz	230	9	see	see	VB
cord-348010-m3a3utvz	230	10	[	[	-LRB-
cord-348010-m3a3utvz	230	11	14	14	CD
cord-348010-m3a3utvz	230	12	]	]	-RRB-
cord-348010-m3a3utvz	230	13	and	and	CC
cord-348010-m3a3utvz	230	14	[	[	-LRB-
cord-348010-m3a3utvz	230	15	1	1	CD
cord-348010-m3a3utvz	230	16	]	]	-RRB-
cord-348010-m3a3utvz	230	17	.	.	.
cord-348010-m3a3utvz	231	1	Insofar	insofar	RB
cord-348010-m3a3utvz	231	2	a	a	DT
cord-348010-m3a3utvz	231	3	model	model	NN
cord-348010-m3a3utvz	231	4	for	for	IN
cord-348010-m3a3utvz	231	5	the	the	DT
cord-348010-m3a3utvz	231	6	spread	spread	NN
cord-348010-m3a3utvz	231	7	of	of	IN
cord-348010-m3a3utvz	231	8	SARS	SARS	NNP
cord-348010-m3a3utvz	231	9	-	-	HYPH
cord-348010-m3a3utvz	231	10	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	231	11	should	should	MD
cord-348010-m3a3utvz	231	12	take	take	VB
cord-348010-m3a3utvz	231	13	the	the	DT
cord-348010-m3a3utvz	231	14	classes	class	NNS
cord-348010-m3a3utvz	231	15	,	,	,
cord-348010-m3a3utvz	231	16	,	,	,
cord-348010-m3a3utvz	231	17	1	1	CD
cord-348010-m3a3utvz	231	18	,	,	,
cord-348010-m3a3utvz	231	19	21	21	CD
cord-348010-m3a3utvz	231	20	,	,	,
cord-348010-m3a3utvz	231	21	21	21	CD
cord-348010-m3a3utvz	231	22	,	,	,
cord-348010-m3a3utvz	231	23	and	and	CC
cord-348010-m3a3utvz	231	24	into	into	IN
cord-348010-m3a3utvz	231	25	account	account	NN
cord-348010-m3a3utvz	231	26	.	.	.
cord-348010-m3a3utvz	232	1	In	in	IN
cord-348010-m3a3utvz	232	2	Section	section	NN
cord-348010-m3a3utvz	232	3	3	3	CD
cord-348010-m3a3utvz	232	4	we	-PRON-	PRP
cord-348010-m3a3utvz	232	5	discuss	discuss	VBP
cord-348010-m3a3utvz	232	6	this	this	DT
cord-348010-m3a3utvz	232	7	and	and	CC
cord-348010-m3a3utvz	232	8	present	present	VB
cord-348010-m3a3utvz	232	9	a	a	DT
cord-348010-m3a3utvz	232	10	corresponding	corresponding	JJ
cord-348010-m3a3utvz	232	11	SEI	SEI	NNP
cord-348010-m3a3utvz	232	12	3	3	CD
cord-348010-m3a3utvz	232	13	RSD	RSD	NNP
cord-348010-m3a3utvz	232	14	model	model	NN
cord-348010-m3a3utvz	232	15	.	.	.
cord-348010-m3a3utvz	233	1	If	if	IN
cord-348010-m3a3utvz	233	2	future	future	JJ
cord-348010-m3a3utvz	233	3	findings	finding	NNS
cord-348010-m3a3utvz	233	4	show	show	VBP
cord-348010-m3a3utvz	233	5	an	an	DT
cord-348010-m3a3utvz	233	6	essential	essential	JJ
cord-348010-m3a3utvz	233	7	difference	difference	NN
cord-348010-m3a3utvz	233	8	between	between	IN
cord-348010-m3a3utvz	233	9	the	the	DT
cord-348010-m3a3utvz	233	10	durations	duration	NNS
cord-348010-m3a3utvz	233	11	of	of	IN
cord-348010-m3a3utvz	233	12	immunity	immunity	NN
cord-348010-m3a3utvz	233	13	obtained	obtain	VBN
cord-348010-m3a3utvz	233	14	after	after	IN
cord-348010-m3a3utvz	233	15	surviving	survive	VBG
cord-348010-m3a3utvz	233	16	the	the	DT
cord-348010-m3a3utvz	233	17	infection	infection	NN
cord-348010-m3a3utvz	233	18	and	and	CC
cord-348010-m3a3utvz	233	19	by	by	IN
cord-348010-m3a3utvz	233	20	vaccination	vaccination	NN
cord-348010-m3a3utvz	233	21	,	,	,
cord-348010-m3a3utvz	233	22	then	then	RB
cord-348010-m3a3utvz	233	23	an	an	DT
cord-348010-m3a3utvz	233	24	additional	additional	JJ
cord-348010-m3a3utvz	233	25	class	class	NN
cord-348010-m3a3utvz	233	26	of	of	IN
cord-348010-m3a3utvz	233	27	immune	immune	JJ
cord-348010-m3a3utvz	233	28	individuals	individual	NNS
cord-348010-m3a3utvz	233	29	has	have	VBZ
cord-348010-m3a3utvz	233	30	to	to	TO
cord-348010-m3a3utvz	233	31	be	be	VB
cord-348010-m3a3utvz	233	32	considered	consider	VBN
cord-348010-m3a3utvz	233	33	.	.	.
cord-348010-m3a3utvz	234	1	Based	base	VBN
cord-348010-m3a3utvz	234	2	on	on	IN
cord-348010-m3a3utvz	234	3	a	a	DT
cord-348010-m3a3utvz	234	4	division	division	NN
cord-348010-m3a3utvz	234	5	into	into	IN
cord-348010-m3a3utvz	234	6	classes	class	NNS
cord-348010-m3a3utvz	234	7	,	,	,
cord-348010-m3a3utvz	234	8	different	different	JJ
cord-348010-m3a3utvz	234	9	models	model	NNS
cord-348010-m3a3utvz	234	10	have	have	VBP
cord-348010-m3a3utvz	234	11	been	be	VBN
cord-348010-m3a3utvz	234	12	investigated	investigate	VBN
cord-348010-m3a3utvz	234	13	.	.	.
cord-348010-m3a3utvz	235	1	Usually	usually	RB
cord-348010-m3a3utvz	235	2	,	,	,
cord-348010-m3a3utvz	235	3	they	-PRON-	PRP
cord-348010-m3a3utvz	235	4	are	be	VBP
cord-348010-m3a3utvz	235	5	abbreviated	abbreviate	VBN
cord-348010-m3a3utvz	235	6	by	by	IN
cord-348010-m3a3utvz	235	7	SI	SI	NNP
cord-348010-m3a3utvz	235	8	,	,	,
cord-348010-m3a3utvz	235	9	SIS	SIS	NNP
cord-348010-m3a3utvz	235	10	,	,	,
cord-348010-m3a3utvz	235	11	SIR	SIR	NNP
cord-348010-m3a3utvz	235	12	,	,	,
cord-348010-m3a3utvz	235	13	SEIR	SEIR	NNP
cord-348010-m3a3utvz	235	14	etc	etc	FW
cord-348010-m3a3utvz	235	15	.	.	.
cord-348010-m3a3utvz	236	1	Sometimes	sometimes	RB
cord-348010-m3a3utvz	236	2	,	,	,
cord-348010-m3a3utvz	236	3	there	there	EX
cord-348010-m3a3utvz	236	4	are	be	VBP
cord-348010-m3a3utvz	236	5	additions	addition	NNS
cord-348010-m3a3utvz	236	6	like	like	IN
cord-348010-m3a3utvz	236	7	"	"	``
cord-348010-m3a3utvz	236	8	with	with	IN
cord-348010-m3a3utvz	236	9	delay	delay	NN
cord-348010-m3a3utvz	236	10	"	"	''
cord-348010-m3a3utvz	236	11	or	or	CC
cord-348010-m3a3utvz	236	12	with	with	IN
cord-348010-m3a3utvz	236	13	notes	note	NNS
cord-348010-m3a3utvz	236	14	to	to	IN
cord-348010-m3a3utvz	236	15	population	population	NN
cord-348010-m3a3utvz	236	16	dynamics	dynamic	NNS
cord-348010-m3a3utvz	236	17	.	.	.
cord-348010-m3a3utvz	237	1	We	-PRON-	PRP
cord-348010-m3a3utvz	237	2	refer	refer	VBP
cord-348010-m3a3utvz	237	3	to	to	IN
cord-348010-m3a3utvz	237	4	[	[	-LRB-
cord-348010-m3a3utvz	237	5	15	15	CD
cord-348010-m3a3utvz	237	6	]	]	-RRB-
cord-348010-m3a3utvz	237	7	[	[	-LRB-
cord-348010-m3a3utvz	237	8	16	16	CD
cord-348010-m3a3utvz	237	9	]	]	-RRB-
cord-348010-m3a3utvz	237	10	[	[	-LRB-
cord-348010-m3a3utvz	237	11	17	17	CD
cord-348010-m3a3utvz	237	12	]	]	-RRB-
cord-348010-m3a3utvz	237	13	[	[	-LRB-
cord-348010-m3a3utvz	237	14	18	18	CD
cord-348010-m3a3utvz	237	15	]	]	-RRB-
cord-348010-m3a3utvz	237	16	20	20	CD
cord-348010-m3a3utvz	237	17	,	,	,
cord-348010-m3a3utvz	237	18	32	32	CD
cord-348010-m3a3utvz	237	19	,	,	,
cord-348010-m3a3utvz	237	20	33	33	CD
cord-348010-m3a3utvz	237	21	]	]	-RRB-
cord-348010-m3a3utvz	237	22	and	and	CC
cord-348010-m3a3utvz	237	23	the	the	DT
cord-348010-m3a3utvz	237	24	references	reference	NNS
cord-348010-m3a3utvz	237	25	cited	cite	VBN
cord-348010-m3a3utvz	237	26	therein	therein	RB
cord-348010-m3a3utvz	237	27	.	.	.
cord-348010-m3a3utvz	238	1	(	(	-LRB-
cord-348010-m3a3utvz	238	2	i	i	NN
cord-348010-m3a3utvz	238	3	)	)	-RRB-
cord-348010-m3a3utvz	239	1	The	the	DT
cord-348010-m3a3utvz	239	2	number	number	NN
cord-348010-m3a3utvz	239	3	of	of	IN
cord-348010-m3a3utvz	239	4	individuals	individual	NNS
cord-348010-m3a3utvz	239	5	in	in	IN
cord-348010-m3a3utvz	239	6	classes	class	NNS
cord-348010-m3a3utvz	239	7	like	like	IN
cord-348010-m3a3utvz	239	8	,	,	,
cord-348010-m3a3utvz	239	9	etc	etc	FW
cord-348010-m3a3utvz	239	10	.	.	.
cord-348010-m3a3utvz	240	1	are	be	VBP
cord-348010-m3a3utvz	240	2	quantities	quantity	NNS
cord-348010-m3a3utvz	240	3	equipped	equip	VBN
cord-348010-m3a3utvz	240	4	with	with	IN
cord-348010-m3a3utvz	240	5	the	the	DT
cord-348010-m3a3utvz	240	6	dimension	dimension	NN
cord-348010-m3a3utvz	240	7	persons	person	NNS
cord-348010-m3a3utvz	240	8	,	,	,
cord-348010-m3a3utvz	240	9	measured	measure	VBN
cord-348010-m3a3utvz	240	10	for	for	IN
cord-348010-m3a3utvz	240	11	instance	instance	NN
cord-348010-m3a3utvz	240	12	by	by	IN
cord-348010-m3a3utvz	240	13	units	unit	NNS
cord-348010-m3a3utvz	240	14	like	like	IN
cord-348010-m3a3utvz	240	15	one	one	CD
cord-348010-m3a3utvz	240	16	person	person	NN
cord-348010-m3a3utvz	240	17	or	or	CC
cord-348010-m3a3utvz	240	18	thousand	thousand	CD
cord-348010-m3a3utvz	240	19	persons	person	NNS
cord-348010-m3a3utvz	240	20	.	.	.
cord-348010-m3a3utvz	241	1	However	however	RB
cord-348010-m3a3utvz	241	2	,	,	,
cord-348010-m3a3utvz	241	3	we	-PRON-	PRP
cord-348010-m3a3utvz	241	4	note	note	VBP
cord-348010-m3a3utvz	241	5	that	that	IN
cord-348010-m3a3utvz	241	6	the	the	DT
cord-348010-m3a3utvz	241	7	term	term	NN
cord-348010-m3a3utvz	241	8	number	number	NN
cord-348010-m3a3utvz	241	9	is	be	VBZ
cord-348010-m3a3utvz	241	10	often	often	RB
cord-348010-m3a3utvz	241	11	used	use	VBN
cord-348010-m3a3utvz	241	12	for	for	IN
cord-348010-m3a3utvz	241	13	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	241	14	quantities	quantity	NNS
cord-348010-m3a3utvz	241	15	in	in	IN
cord-348010-m3a3utvz	241	16	physics	physics	NN
cord-348010-m3a3utvz	241	17	and	and	CC
cord-348010-m3a3utvz	241	18	natural	natural	JJ
cord-348010-m3a3utvz	241	19	sciences	science	NNS
cord-348010-m3a3utvz	241	20	.	.	.
cord-348010-m3a3utvz	242	1	An	an	DT
cord-348010-m3a3utvz	242	2	important	important	JJ
cord-348010-m3a3utvz	242	3	example	example	NN
cord-348010-m3a3utvz	242	4	is	be	VBZ
cord-348010-m3a3utvz	242	5	the	the	DT
cord-348010-m3a3utvz	242	6	Reynolds	Reynolds	NNP
cord-348010-m3a3utvz	242	7	number	number	NN
cord-348010-m3a3utvz	242	8	in	in	IN
cord-348010-m3a3utvz	242	9	fluid	fluid	JJ
cord-348010-m3a3utvz	242	10	mechanics	mechanic	NNS
cord-348010-m3a3utvz	242	11	.	.	.
cord-348010-m3a3utvz	243	1	Thus	thus	RB
cord-348010-m3a3utvz	243	2	,	,	,
cord-348010-m3a3utvz	243	3	there	there	EX
cord-348010-m3a3utvz	243	4	may	may	MD
cord-348010-m3a3utvz	243	5	be	be	VB
cord-348010-m3a3utvz	243	6	a	a	DT
cord-348010-m3a3utvz	243	7	source	source	NN
cord-348010-m3a3utvz	243	8	of	of	IN
cord-348010-m3a3utvz	243	9	confusion	confusion	NN
cord-348010-m3a3utvz	243	10	.	.	.
cord-348010-m3a3utvz	244	1	In	in	IN
cord-348010-m3a3utvz	244	2	Sections	section	NNS
cord-348010-m3a3utvz	244	3	2.2.2	2.2.2	CD
cord-348010-m3a3utvz	244	4	and	and	CC
cord-348010-m3a3utvz	244	5	4.1	4.1	CD
cord-348010-m3a3utvz	244	6	,	,	,
cord-348010-m3a3utvz	244	7	we	-PRON-	PRP
cord-348010-m3a3utvz	244	8	deal	deal	VBP
cord-348010-m3a3utvz	244	9	with	with	IN
cord-348010-m3a3utvz	244	10	these	these	DT
cord-348010-m3a3utvz	244	11	questions	question	NNS
cord-348010-m3a3utvz	244	12	in	in	IN
cord-348010-m3a3utvz	244	13	the	the	DT
cord-348010-m3a3utvz	244	14	framework	framework	NN
cord-348010-m3a3utvz	244	15	of	of	IN
cord-348010-m3a3utvz	244	16	dimensional	dimensional	JJ
cord-348010-m3a3utvz	244	17	analysis	analysis	NN
cord-348010-m3a3utvz	244	18	.	.	.
cord-348010-m3a3utvz	245	1	(	(	-LRB-
cord-348010-m3a3utvz	245	2	ii	ii	NN
cord-348010-m3a3utvz	245	3	)	)	-RRB-
cord-348010-m3a3utvz	246	1	Generally	generally	RB
cord-348010-m3a3utvz	246	2	,	,	,
cord-348010-m3a3utvz	246	3	a	a	DT
cord-348010-m3a3utvz	246	4	fraction	fraction	NN
cord-348010-m3a3utvz	246	5	is	be	VBZ
cord-348010-m3a3utvz	246	6	the	the	DT
cord-348010-m3a3utvz	246	7	ratio	ratio	NN
cord-348010-m3a3utvz	246	8	of	of	IN
cord-348010-m3a3utvz	246	9	two	two	CD
cord-348010-m3a3utvz	246	10	quantities	quantity	NNS
cord-348010-m3a3utvz	246	11	with	with	IN
cord-348010-m3a3utvz	246	12	the	the	DT
cord-348010-m3a3utvz	246	13	same	same	JJ
cord-348010-m3a3utvz	246	14	dimension	dimension	NN
cord-348010-m3a3utvz	246	15	,	,	,
cord-348010-m3a3utvz	246	16	and	and	CC
cord-348010-m3a3utvz	246	17	thus	thus	RB
cord-348010-m3a3utvz	246	18	,	,	,
cord-348010-m3a3utvz	246	19	it	-PRON-	PRP
cord-348010-m3a3utvz	246	20	is	be	VBZ
cord-348010-m3a3utvz	246	21	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	246	22	like	like	IN
cord-348010-m3a3utvz	246	23	mass	mass	NN
cord-348010-m3a3utvz	246	24	or	or	CC
cord-348010-m3a3utvz	246	25	volume	volume	NN
cord-348010-m3a3utvz	246	26	fractions	fraction	NNS
cord-348010-m3a3utvz	246	27	in	in	IN
cord-348010-m3a3utvz	246	28	physics	physics	NN
cord-348010-m3a3utvz	246	29	and	and	CC
cord-348010-m3a3utvz	246	30	chemistry	chemistry	NN
cord-348010-m3a3utvz	246	31	.	.	.
cord-348010-m3a3utvz	247	1	Again	again	RB
cord-348010-m3a3utvz	247	2	,	,	,
cord-348010-m3a3utvz	247	3	we	-PRON-	PRP
cord-348010-m3a3utvz	247	4	refer	refer	VBP
cord-348010-m3a3utvz	247	5	to	to	IN
cord-348010-m3a3utvz	247	6	Section	section	NN
cord-348010-m3a3utvz	247	7	4.1	4.1	CD
cord-348010-m3a3utvz	247	8	for	for	IN
cord-348010-m3a3utvz	247	9	details	detail	NNS
cord-348010-m3a3utvz	247	10	.	.	.
cord-348010-m3a3utvz	248	1	Now	now	RB
cord-348010-m3a3utvz	248	2	let	let	VB
cord-348010-m3a3utvz	248	3	us	-PRON-	PRP
cord-348010-m3a3utvz	248	4	come	come	VB
cord-348010-m3a3utvz	248	5	to	to	IN
cord-348010-m3a3utvz	248	6	concrete	concrete	JJ
cord-348010-m3a3utvz	248	7	steps	step	NNS
cord-348010-m3a3utvz	248	8	in	in	IN
cord-348010-m3a3utvz	248	9	modelling	modelling	NN
cord-348010-m3a3utvz	248	10	.	.	.
cord-348010-m3a3utvz	249	1	At	at	IN
cord-348010-m3a3utvz	249	2	first	first	RB
cord-348010-m3a3utvz	249	3	,	,	,
cord-348010-m3a3utvz	249	4	it	-PRON-	PRP
cord-348010-m3a3utvz	249	5	is	be	VBZ
cord-348010-m3a3utvz	249	6	important	important	JJ
cord-348010-m3a3utvz	249	7	to	to	TO
cord-348010-m3a3utvz	249	8	model	model	VB
cord-348010-m3a3utvz	249	9	the	the	DT
cord-348010-m3a3utvz	249	10	infection	infection	NN
cord-348010-m3a3utvz	249	11	mechanism	mechanism	NN
cord-348010-m3a3utvz	249	12	of	of	IN
cord-348010-m3a3utvz	249	13	susceptible	susceptible	JJ
cord-348010-m3a3utvz	249	14	persons	person	NNS
cord-348010-m3a3utvz	249	15	by	by	IN
cord-348010-m3a3utvz	249	16	infectious	infectious	JJ
cord-348010-m3a3utvz	249	17	infected	infect	VBN
cord-348010-m3a3utvz	249	18	individuals	individual	NNS
cord-348010-m3a3utvz	249	19	.	.	.
cord-348010-m3a3utvz	250	1	Clearly	clearly	RB
cord-348010-m3a3utvz	250	2	,	,	,
cord-348010-m3a3utvz	250	3	the	the	DT
cord-348010-m3a3utvz	250	4	medical	medical	JJ
cord-348010-m3a3utvz	250	5	and	and	CC
cord-348010-m3a3utvz	250	6	virological	virological	JJ
cord-348010-m3a3utvz	250	7	details	detail	NNS
cord-348010-m3a3utvz	250	8	of	of	IN
cord-348010-m3a3utvz	250	9	infection	infection	NN
cord-348010-m3a3utvz	250	10	processes	process	NNS
cord-348010-m3a3utvz	250	11	are	be	VBP
cord-348010-m3a3utvz	250	12	beyond	beyond	IN
cord-348010-m3a3utvz	250	13	this	this	DT
cord-348010-m3a3utvz	250	14	study	study	NN
cord-348010-m3a3utvz	250	15	,	,	,
cord-348010-m3a3utvz	250	16	see	see	VB
cord-348010-m3a3utvz	250	17	for	for	IN
cord-348010-m3a3utvz	250	18	instance	instance	NN
cord-348010-m3a3utvz	250	19	[	[	-LRB-
cord-348010-m3a3utvz	250	20	20	20	CD
cord-348010-m3a3utvz	250	21	]	]	-RRB-
cord-348010-m3a3utvz	250	22	,	,	,
cord-348010-m3a3utvz	250	23	Ch	Ch	NNP
cord-348010-m3a3utvz	250	24	.	.	NNP
cord-348010-m3a3utvz	250	25	1	1	CD
cord-348010-m3a3utvz	250	26	,	,	,
cord-348010-m3a3utvz	250	27	and	and	CC
cord-348010-m3a3utvz	250	28	the	the	DT
cord-348010-m3a3utvz	250	29	references	reference	NNS
cord-348010-m3a3utvz	250	30	cited	cite	VBN
cord-348010-m3a3utvz	250	31	therein	therein	RB
cord-348010-m3a3utvz	250	32	.	.	.
cord-348010-m3a3utvz	251	1	A	a	DT
cord-348010-m3a3utvz	251	2	mathematical	mathematical	JJ
cord-348010-m3a3utvz	251	3	modelling	modelling	NN
cord-348010-m3a3utvz	251	4	can	can	MD
cord-348010-m3a3utvz	251	5	be	be	VB
cord-348010-m3a3utvz	251	6	performed	perform	VBN
cord-348010-m3a3utvz	251	7	in	in	IN
cord-348010-m3a3utvz	251	8	a	a	DT
cord-348010-m3a3utvz	251	9	discrete	discrete	JJ
cord-348010-m3a3utvz	251	10	manner	manner	NN
cord-348010-m3a3utvz	251	11	using	use	VBG
cord-348010-m3a3utvz	251	12	difference	difference	NN
cord-348010-m3a3utvz	251	13	equations	equation	NNS
cord-348010-m3a3utvz	251	14	,	,	,
cord-348010-m3a3utvz	251	15	or	or	CC
cord-348010-m3a3utvz	251	16	in	in	IN
cord-348010-m3a3utvz	251	17	a	a	DT
cord-348010-m3a3utvz	251	18	continuous	continuous	JJ
cord-348010-m3a3utvz	251	19	way	way	NN
cord-348010-m3a3utvz	251	20	using	use	VBG
cord-348010-m3a3utvz	251	21	differential	differential	JJ
cord-348010-m3a3utvz	251	22	or	or	CC
cord-348010-m3a3utvz	251	23	integral	integral	JJ
cord-348010-m3a3utvz	251	24	equations	equation	NNS
cord-348010-m3a3utvz	251	25	.	.	.
cord-348010-m3a3utvz	252	1	Here	here	RB
cord-348010-m3a3utvz	252	2	,	,	,
cord-348010-m3a3utvz	252	3	we	-PRON-	PRP
cord-348010-m3a3utvz	252	4	only	only	RB
cord-348010-m3a3utvz	252	5	pursue	pursue	VBP
cord-348010-m3a3utvz	252	6	the	the	DT
cord-348010-m3a3utvz	252	7	second	second	JJ
cord-348010-m3a3utvz	252	8	way	way	NN
cord-348010-m3a3utvz	252	9	.	.	.
cord-348010-m3a3utvz	253	1	However	however	RB
cord-348010-m3a3utvz	253	2	,	,	,
cord-348010-m3a3utvz	253	3	many	many	JJ
cord-348010-m3a3utvz	253	4	basic	basic	JJ
cord-348010-m3a3utvz	253	5	ideas	idea	NNS
cord-348010-m3a3utvz	253	6	of	of	IN
cord-348010-m3a3utvz	253	7	modelling	modelling	NN
cord-348010-m3a3utvz	253	8	are	be	VBP
cord-348010-m3a3utvz	253	9	the	the	DT
cord-348010-m3a3utvz	253	10	same	same	JJ
cord-348010-m3a3utvz	253	11	.	.	.
cord-348010-m3a3utvz	254	1	Besides	besides	IN
cord-348010-m3a3utvz	254	2	the	the	DT
cord-348010-m3a3utvz	254	3	approach	approach	NN
cord-348010-m3a3utvz	254	4	with	with	IN
cord-348010-m3a3utvz	254	5	ordinary	ordinary	JJ
cord-348010-m3a3utvz	254	6	differential	differential	JJ
cord-348010-m3a3utvz	254	7	equations	equation	NNS
cord-348010-m3a3utvz	254	8	(	(	-LRB-
cord-348010-m3a3utvz	254	9	ODE	ODE	NNP
cord-348010-m3a3utvz	254	10	)	)	-RRB-
cord-348010-m3a3utvz	254	11	,	,	,
cord-348010-m3a3utvz	254	12	in	in	IN
cord-348010-m3a3utvz	254	13	Subsection	Subsection	NNP
cord-348010-m3a3utvz	254	14	2.2.3	2.2.3	CD
cord-348010-m3a3utvz	254	15	,	,	,
cord-348010-m3a3utvz	254	16	we	-PRON-	PRP
cord-348010-m3a3utvz	254	17	deal	deal	VBP
cord-348010-m3a3utvz	254	18	in	in	IN
cord-348010-m3a3utvz	254	19	short	short	JJ
cord-348010-m3a3utvz	254	20	with	with	IN
cord-348010-m3a3utvz	254	21	an	an	DT
cord-348010-m3a3utvz	254	22	alternative	alternative	JJ
cord-348010-m3a3utvz	254	23	approach	approach	NN
cord-348010-m3a3utvz	254	24	using	use	VBG
cord-348010-m3a3utvz	254	25	an	an	DT
cord-348010-m3a3utvz	254	26	integral	integral	JJ
cord-348010-m3a3utvz	254	27	equation	equation	NN
cord-348010-m3a3utvz	254	28	.	.	.
cord-348010-m3a3utvz	255	1	An	an	DT
cord-348010-m3a3utvz	255	2	advantage	advantage	NN
cord-348010-m3a3utvz	255	3	of	of	IN
cord-348010-m3a3utvz	255	4	differential	differential	JJ
cord-348010-m3a3utvz	255	5	-	-	HYPH
cord-348010-m3a3utvz	255	6	equation	equation	NN
cord-348010-m3a3utvz	255	7	models	model	NNS
cord-348010-m3a3utvz	255	8	is	be	VBZ
cord-348010-m3a3utvz	255	9	the	the	DT
cord-348010-m3a3utvz	255	10	availability	availability	NN
cord-348010-m3a3utvz	255	11	of	of	IN
cord-348010-m3a3utvz	255	12	broadly	broadly	RB
cord-348010-m3a3utvz	255	13	developed	develop	VBN
cord-348010-m3a3utvz	255	14	theoretical	theoretical	JJ
cord-348010-m3a3utvz	255	15	results	result	NNS
cord-348010-m3a3utvz	255	16	and	and	CC
cord-348010-m3a3utvz	255	17	numerical	numerical	JJ
cord-348010-m3a3utvz	255	18	procedures	procedure	NNS
cord-348010-m3a3utvz	255	19	.	.	.
cord-348010-m3a3utvz	256	1	For	for	IN
cord-348010-m3a3utvz	256	2	difference	difference	NN
cord-348010-m3a3utvz	256	3	-	-	HYPH
cord-348010-m3a3utvz	256	4	equation	equation	NN
cord-348010-m3a3utvz	256	5	models	model	NNS
cord-348010-m3a3utvz	256	6	and	and	CC
cord-348010-m3a3utvz	256	7	further	further	JJ
cord-348010-m3a3utvz	256	8	aspects	aspect	NNS
cord-348010-m3a3utvz	256	9	of	of	IN
cord-348010-m3a3utvz	256	10	modelling	modelling	NN
cord-348010-m3a3utvz	256	11	we	-PRON-	PRP
cord-348010-m3a3utvz	256	12	refer	refer	VBP
cord-348010-m3a3utvz	256	13	to	to	IN
cord-348010-m3a3utvz	256	14	[	[	-LRB-
cord-348010-m3a3utvz	256	15	20	20	CD
cord-348010-m3a3utvz	256	16	]	]	-RRB-
cord-348010-m3a3utvz	256	17	,	,	,
cord-348010-m3a3utvz	256	18	Ch	Ch	NNP
cord-348010-m3a3utvz	256	19	.	.	NNP
cord-348010-m3a3utvz	256	20	2	2	CD
cord-348010-m3a3utvz	256	21	.	.	.
cord-348010-m3a3utvz	257	1	Approach	approach	VB
cord-348010-m3a3utvz	257	2	for	for	IN
cord-348010-m3a3utvz	257	3	I	-PRON-	PRP
cord-348010-m3a3utvz	257	4	with	with	IN
cord-348010-m3a3utvz	257	5	a	a	DT
cord-348010-m3a3utvz	257	6	differential	differential	JJ
cord-348010-m3a3utvz	257	7	equation	equation	NN
cord-348010-m3a3utvz	258	1	At	at	IN
cord-348010-m3a3utvz	258	2	first	first	RB
cord-348010-m3a3utvz	258	3	we	-PRON-	PRP
cord-348010-m3a3utvz	258	4	suppose	suppose	VBP
cord-348010-m3a3utvz	258	5	that	that	IN
cord-348010-m3a3utvz	258	6	infected	infected	JJ
cord-348010-m3a3utvz	258	7	persons	person	NNS
cord-348010-m3a3utvz	258	8	are	be	VBP
cord-348010-m3a3utvz	258	9	infectious	infectious	JJ
cord-348010-m3a3utvz	258	10	from	from	IN
cord-348010-m3a3utvz	258	11	the	the	DT
cord-348010-m3a3utvz	258	12	beginning	beginning	NN
cord-348010-m3a3utvz	258	13	of	of	IN
cord-348010-m3a3utvz	258	14	their	-PRON-	PRP$
cord-348010-m3a3utvz	258	15	infection	infection	NN
cord-348010-m3a3utvz	258	16	and	and	CC
cord-348010-m3a3utvz	258	17	that	that	IN
cord-348010-m3a3utvz	258	18	they	-PRON-	PRP
cord-348010-m3a3utvz	258	19	remain	remain	VBP
cord-348010-m3a3utvz	258	20	permanently	permanently	RB
cord-348010-m3a3utvz	258	21	infectious	infectious	JJ
cord-348010-m3a3utvz	258	22	.	.	.
cord-348010-m3a3utvz	259	1	Moreover	moreover	RB
cord-348010-m3a3utvz	259	2	,	,	,
cord-348010-m3a3utvz	259	3	we	-PRON-	PRP
cord-348010-m3a3utvz	259	4	assume	assume	VBP
cord-348010-m3a3utvz	259	5	that	that	IN
cord-348010-m3a3utvz	259	6	there	there	EX
cord-348010-m3a3utvz	259	7	are	be	VBP
cord-348010-m3a3utvz	259	8	only	only	RB
cord-348010-m3a3utvz	259	9	susceptible	susceptible	JJ
cord-348010-m3a3utvz	259	10	and	and	CC
cord-348010-m3a3utvz	259	11	infected	infected	JJ
cord-348010-m3a3utvz	259	12	,	,	,
cord-348010-m3a3utvz	259	13	leading	lead	VBG
cord-348010-m3a3utvz	259	14	to	to	IN
cord-348010-m3a3utvz	259	15	an	an	DT
cord-348010-m3a3utvz	259	16	SI	SI	NNP
cord-348010-m3a3utvz	259	17	model	model	NN
cord-348010-m3a3utvz	259	18	.	.	.
cord-348010-m3a3utvz	260	1	Preparation	preparation	NN
cord-348010-m3a3utvz	260	2	-exponential	-exponential	JJ
cord-348010-m3a3utvz	260	3	growth	growth	NN
cord-348010-m3a3utvz	260	4	.	.	.
cord-348010-m3a3utvz	261	1	Like	like	IN
cord-348010-m3a3utvz	261	2	for	for	IN
cord-348010-m3a3utvz	261	3	other	other	JJ
cord-348010-m3a3utvz	261	4	comparable	comparable	JJ
cord-348010-m3a3utvz	261	5	growth	growth	NN
cord-348010-m3a3utvz	261	6	processes	process	NNS
cord-348010-m3a3utvz	261	7	(	(	-LRB-
cord-348010-m3a3utvz	261	8	bacterial	bacterial	JJ
cord-348010-m3a3utvz	261	9	culture	culture	NN
cord-348010-m3a3utvz	261	10	,	,	,
cord-348010-m3a3utvz	261	11	non	non	JJ
cord-348010-m3a3utvz	261	12	-	-	JJ
cord-348010-m3a3utvz	261	13	controlled	controlled	JJ
cord-348010-m3a3utvz	261	14	chain	chain	NN
cord-348010-m3a3utvz	261	15	reaction	reaction	NN
cord-348010-m3a3utvz	261	16	in	in	IN
cord-348010-m3a3utvz	261	17	nuclear	nuclear	JJ
cord-348010-m3a3utvz	261	18	fission	fission	NN
cord-348010-m3a3utvz	261	19	)	)	-RRB-
cord-348010-m3a3utvz	261	20	it	-PRON-	PRP
cord-348010-m3a3utvz	261	21	seems	seem	VBZ
cord-348010-m3a3utvz	261	22	to	to	TO
cord-348010-m3a3utvz	261	23	be	be	VB
cord-348010-m3a3utvz	261	24	plausible	plausible	JJ
cord-348010-m3a3utvz	261	25	assuming	assume	VBG
cord-348010-m3a3utvz	261	26	an	an	DT
cord-348010-m3a3utvz	261	27	exponential	exponential	JJ
cord-348010-m3a3utvz	261	28	growth	growth	NN
cord-348010-m3a3utvz	261	29	,	,	,
cord-348010-m3a3utvz	261	30	at	at	IN
cord-348010-m3a3utvz	261	31	least	least	JJS
cord-348010-m3a3utvz	261	32	for	for	IN
cord-348010-m3a3utvz	261	33	the	the	DT
cord-348010-m3a3utvz	261	34	beginning	beginning	NN
cord-348010-m3a3utvz	261	35	,	,	,
cord-348010-m3a3utvz	261	36	see	see	VB
cord-348010-m3a3utvz	261	37	[	[	-LRB-
cord-348010-m3a3utvz	261	38	34	34	CD
cord-348010-m3a3utvz	261	39	]	]	-RRB-
cord-348010-m3a3utvz	261	40	,	,	.
cord-348010-m3a3utvz	262	1	e.g.	e.g.	RB
cord-348010-m3a3utvz	262	2	Let	let	VB
cord-348010-m3a3utvz	262	3	the	the	DT
cord-348010-m3a3utvz	262	4	increment	increment	NN
cord-348010-m3a3utvz	262	5	of	of	IN
cord-348010-m3a3utvz	262	6	infected	infected	JJ
cord-348010-m3a3utvz	262	7	△	△	NNP
cord-348010-m3a3utvz	262	8	(	(	-LRB-
cord-348010-m3a3utvz	262	9	)	)	-RRB-
cord-348010-m3a3utvz	263	1	(	(	-LRB-
cord-348010-m3a3utvz	263	2	this	this	DT
cord-348010-m3a3utvz	263	3	is	be	VBZ
cord-348010-m3a3utvz	263	4	the	the	DT
cord-348010-m3a3utvz	263	5	number	number	NN
cord-348010-m3a3utvz	263	6	of	of	IN
cord-348010-m3a3utvz	263	7	newly	newly	RB
cord-348010-m3a3utvz	263	8	infected	infect	VBN
cord-348010-m3a3utvz	263	9	persons	person	NNS
cord-348010-m3a3utvz	263	10	)	)	-RRB-
cord-348010-m3a3utvz	263	11	during	during	IN
cord-348010-m3a3utvz	263	12	a	a	DT
cord-348010-m3a3utvz	263	13	time	time	NN
cord-348010-m3a3utvz	263	14	period	period	NN
cord-348010-m3a3utvz	263	15	△	△	NNP
cord-348010-m3a3utvz	263	16	be	be	VB
cord-348010-m3a3utvz	263	17	proportional	proportional	JJ
cord-348010-m3a3utvz	263	18	to	to	IN
cord-348010-m3a3utvz	263	19	the	the	DT
cord-348010-m3a3utvz	263	20	number	number	NN
cord-348010-m3a3utvz	263	21	of	of	IN
cord-348010-m3a3utvz	263	22	already	already	RB
cord-348010-m3a3utvz	263	23	existing	exist	VBG
cord-348010-m3a3utvz	263	24	infected	infect	VBN
cord-348010-m3a3utvz	263	25	(	(	-LRB-
cord-348010-m3a3utvz	263	26	)	)	-RRB-
cord-348010-m3a3utvz	263	27	as	as	RB
cord-348010-m3a3utvz	263	28	well	well	RB
cord-348010-m3a3utvz	263	29	as	as	IN
cord-348010-m3a3utvz	263	30	to	to	IN
cord-348010-m3a3utvz	263	31	the	the	DT
cord-348010-m3a3utvz	263	32	considered	consider	VBN
cord-348010-m3a3utvz	263	33	time	time	NN
cord-348010-m3a3utvz	263	34	period	period	NN
cord-348010-m3a3utvz	263	35	:	:	:
cord-348010-m3a3utvz	263	36	>	>	NFP
cord-348010-m3a3utvz	263	37	0	0	NFP
cord-348010-m3a3utvz	263	38	is	be	VBZ
cord-348010-m3a3utvz	263	39	the	the	DT
cord-348010-m3a3utvz	263	40	(	(	-LRB-
cord-348010-m3a3utvz	263	41	generally	generally	RB
cord-348010-m3a3utvz	263	42	time	time	NN
cord-348010-m3a3utvz	263	43	-	-	HYPH
cord-348010-m3a3utvz	263	44	dependent	dependent	JJ
cord-348010-m3a3utvz	263	45	)	)	-RRB-
cord-348010-m3a3utvz	263	46	factor	factor	NN
cord-348010-m3a3utvz	263	47	of	of	IN
cord-348010-m3a3utvz	263	48	proportionality	proportionality	NN
cord-348010-m3a3utvz	263	49	(	(	-LRB-
cord-348010-m3a3utvz	263	50	see	see	VB
cord-348010-m3a3utvz	263	51	Remark	Remark	NNP
cord-348010-m3a3utvz	263	52	2.3	2.3	CD
cord-348010-m3a3utvz	263	53	for	for	IN
cord-348010-m3a3utvz	263	54	time	time	NN
cord-348010-m3a3utvz	263	55	dependence	dependence	NN
cord-348010-m3a3utvz	263	56	)	)	-RRB-
cord-348010-m3a3utvz	263	57	.	.	.
cord-348010-m3a3utvz	264	1	If	if	IN
cord-348010-m3a3utvz	264	2	there	there	EX
cord-348010-m3a3utvz	264	3	were	be	VBD
cord-348010-m3a3utvz	264	4	(	(	-LRB-
cord-348010-m3a3utvz	264	5	)	)	-RRB-
cord-348010-m3a3utvz	264	6	infected	infect	VBN
cord-348010-m3a3utvz	264	7	individuals	individual	NNS
cord-348010-m3a3utvz	264	8	at	at	IN
cord-348010-m3a3utvz	264	9	time	time	NN
cord-348010-m3a3utvz	264	10	,	,	,
cord-348010-m3a3utvz	264	11	so	so	CC
cord-348010-m3a3utvz	264	12	there	there	EX
cord-348010-m3a3utvz	264	13	are	be	VBP
cord-348010-m3a3utvz	264	14	already	already	RB
cord-348010-m3a3utvz	264	15	(	(	-LRB-
cord-348010-m3a3utvz	264	16	)	)	-RRB-
cord-348010-m3a3utvz	264	17	+	+	.
cord-348010-m3a3utvz	265	1	(	(	-LRB-
cord-348010-m3a3utvz	265	2	)	)	-RRB-
cord-348010-m3a3utvz	265	3	△	△	NN
cord-348010-m3a3utvz	265	4	at	at	IN
cord-348010-m3a3utvz	265	5	time	time	NN
cord-348010-m3a3utvz	265	6	+	+	CC
cord-348010-m3a3utvz	265	7	△	△	NN
cord-348010-m3a3utvz	265	8	.	.	.
cord-348010-m3a3utvz	266	1	As	as	IN
cord-348010-m3a3utvz	266	2	it	-PRON-	PRP
cord-348010-m3a3utvz	266	3	is	be	VBZ
cord-348010-m3a3utvz	266	4	usual	usual	JJ
cord-348010-m3a3utvz	266	5	,	,	,
cord-348010-m3a3utvz	266	6	after	after	IN
cord-348010-m3a3utvz	266	7	division	division	NN
cord-348010-m3a3utvz	266	8	by	by	IN
cord-348010-m3a3utvz	266	9	△	△	NNP
cord-348010-m3a3utvz	266	10	and	and	CC
cord-348010-m3a3utvz	266	11	performing	perform	VBG
cord-348010-m3a3utvz	266	12	a	a	DT
cord-348010-m3a3utvz	266	13	limit	limit	NN
cord-348010-m3a3utvz	266	14	process	process	NN
cord-348010-m3a3utvz	266	15	for	for	IN
cord-348010-m3a3utvz	266	16	△	△	NNP
cord-348010-m3a3utvz	266	17	→	→	SYM
cord-348010-m3a3utvz	266	18	0	0	CD
cord-348010-m3a3utvz	266	19	,	,	,
cord-348010-m3a3utvz	266	20	from	from	IN
cord-348010-m3a3utvz	266	21	(	(	-LRB-
cord-348010-m3a3utvz	266	22	2.2	2.2	CD
cord-348010-m3a3utvz	266	23	)	)	-RRB-
cord-348010-m3a3utvz	266	24	one	one	NN
cord-348010-m3a3utvz	266	25	obtains	obtain	VBZ
cord-348010-m3a3utvz	266	26	the	the	DT
cord-348010-m3a3utvz	266	27	well	well	RB
cord-348010-m3a3utvz	266	28	-	-	HYPH
cord-348010-m3a3utvz	266	29	known	know	VBN
cord-348010-m3a3utvz	266	30	differential	differential	JJ
cord-348010-m3a3utvz	266	31	equation	equation	NN
cord-348010-m3a3utvz	266	32	This	this	DT
cord-348010-m3a3utvz	266	33	equation	equation	NN
cord-348010-m3a3utvz	266	34	is	be	VBZ
cord-348010-m3a3utvz	266	35	completed	complete	VBN
cord-348010-m3a3utvz	266	36	by	by	IN
cord-348010-m3a3utvz	266	37	the	the	DT
cord-348010-m3a3utvz	266	38	initial	initial	JJ
cord-348010-m3a3utvz	266	39	condition	condition	NN
cord-348010-m3a3utvz	266	40	with	with	IN
cord-348010-m3a3utvz	266	41	0	0	CD
cord-348010-m3a3utvz	266	42	≤	≤	NN
cord-348010-m3a3utvz	266	43	0	0	CD
cord-348010-m3a3utvz	266	44	≤	≤	NN
cord-348010-m3a3utvz	266	45	(	(	-LRB-
cord-348010-m3a3utvz	266	46	0	0	CD
cord-348010-m3a3utvz	266	47	)	)	-RRB-
cord-348010-m3a3utvz	266	48	,	,	,
cord-348010-m3a3utvz	266	49	and	and	CC
cord-348010-m3a3utvz	266	50	=	=	NFP
cord-348010-m3a3utvz	267	1	(	(	-LRB-
cord-348010-m3a3utvz	267	2	)	)	-RRB-
cord-348010-m3a3utvz	267	3	is	be	VBZ
cord-348010-m3a3utvz	267	4	the	the	DT
cord-348010-m3a3utvz	267	5	generally	generally	RB
cord-348010-m3a3utvz	267	6	time	time	NN
cord-348010-m3a3utvz	267	7	-	-	HYPH
cord-348010-m3a3utvz	267	8	dependent	dependent	JJ
cord-348010-m3a3utvz	267	9	number	number	NN
cord-348010-m3a3utvz	267	10	of	of	IN
cord-348010-m3a3utvz	267	11	population	population	NN
cord-348010-m3a3utvz	267	12	members	member	NNS
cord-348010-m3a3utvz	267	13	.	.	.
cord-348010-m3a3utvz	268	1	It	-PRON-	PRP
cord-348010-m3a3utvz	268	2	is	be	VBZ
cord-348010-m3a3utvz	268	3	well	well	RB
cord-348010-m3a3utvz	268	4	-	-	HYPH
cord-348010-m3a3utvz	268	5	known	know	VBN
cord-348010-m3a3utvz	268	6	that	that	IN
cord-348010-m3a3utvz	268	7	for	for	IN
cord-348010-m3a3utvz	268	8	constant	constant	JJ
cord-348010-m3a3utvz	268	9	the	the	DT
cord-348010-m3a3utvz	268	10	unique	unique	JJ
cord-348010-m3a3utvz	268	11	global	global	JJ
cord-348010-m3a3utvz	268	12	solution	solution	NN
cord-348010-m3a3utvz	268	13	of	of	IN
cord-348010-m3a3utvz	268	14	the	the	DT
cord-348010-m3a3utvz	268	15	initial	initial	JJ
cord-348010-m3a3utvz	268	16	-	-	HYPH
cord-348010-m3a3utvz	268	17	value	value	NN
cord-348010-m3a3utvz	268	18	problem	problem	NN
cord-348010-m3a3utvz	268	19	(	(	-LRB-
cord-348010-m3a3utvz	268	20	2.3	2.3	CD
cord-348010-m3a3utvz	268	21	)	)	-RRB-
cord-348010-m3a3utvz	268	22	,	,	,
cord-348010-m3a3utvz	268	23	(	(	-LRB-
cord-348010-m3a3utvz	268	24	2.4	2.4	CD
cord-348010-m3a3utvz	268	25	)	)	-RRB-
cord-348010-m3a3utvz	268	26	is	be	VBZ
cord-348010-m3a3utvz	268	27	given	give	VBN
cord-348010-m3a3utvz	268	28	by	by	IN
cord-348010-m3a3utvz	268	29	the	the	DT
cord-348010-m3a3utvz	268	30	exponential	exponential	JJ
cord-348010-m3a3utvz	268	31	function	function	NN
cord-348010-m3a3utvz	269	1	See	see	VB
cord-348010-m3a3utvz	269	2	Remark	remark	NN
cord-348010-m3a3utvz	269	3	2.4	2.4	CD
cord-348010-m3a3utvz	269	4	for	for	IN
cord-348010-m3a3utvz	269	5	further	further	JJ
cord-348010-m3a3utvz	269	6	comments	comment	NNS
cord-348010-m3a3utvz	269	7	.	.	.
cord-348010-m3a3utvz	270	1	Clearly	clearly	RB
cord-348010-m3a3utvz	270	2	,	,	,
cord-348010-m3a3utvz	270	3	the	the	DT
cord-348010-m3a3utvz	270	4	initial	initial	JJ
cord-348010-m3a3utvz	270	5	-	-	HYPH
cord-348010-m3a3utvz	270	6	value	value	NN
cord-348010-m3a3utvz	270	7	problem	problem	NN
cord-348010-m3a3utvz	270	8	(	(	-LRB-
cord-348010-m3a3utvz	270	9	2.3	2.3	CD
cord-348010-m3a3utvz	270	10	)	)	-RRB-
cord-348010-m3a3utvz	270	11	,	,	,
cord-348010-m3a3utvz	270	12	(	(	-LRB-
cord-348010-m3a3utvz	270	13	2.4	2.4	CD
cord-348010-m3a3utvz	270	14	)	)	-RRB-
cord-348010-m3a3utvz	270	15	has	have	VBZ
cord-348010-m3a3utvz	270	16	also	also	RB
cord-348010-m3a3utvz	270	17	a	a	DT
cord-348010-m3a3utvz	270	18	unique	unique	JJ
cord-348010-m3a3utvz	270	19	global	global	JJ
cord-348010-m3a3utvz	270	20	solution	solution	NN
cord-348010-m3a3utvz	270	21	for	for	IN
cord-348010-m3a3utvz	270	22	a	a	DT
cord-348010-m3a3utvz	270	23	variable	variable	JJ
cord-348010-m3a3utvz	270	24	continuous	continuous	JJ
cord-348010-m3a3utvz	270	25	=	=	NN
cord-348010-m3a3utvz	270	26	(	(	-LRB-
cord-348010-m3a3utvz	270	27	)	)	-RRB-
cord-348010-m3a3utvz	270	28	,	,	,
cord-348010-m3a3utvz	270	29	see	see	VB
cord-348010-m3a3utvz	270	30	[	[	-LRB-
cord-348010-m3a3utvz	270	31	34	34	CD
cord-348010-m3a3utvz	270	32	,	,	,
cord-348010-m3a3utvz	270	33	35	35	CD
cord-348010-m3a3utvz	270	34	]	]	-RRB-
cord-348010-m3a3utvz	270	35	.	.	.
cord-348010-m3a3utvz	271	1	This	this	DT
cord-348010-m3a3utvz	271	2	solution	solution	NN
cord-348010-m3a3utvz	271	3	is	be	VBZ
cord-348010-m3a3utvz	271	4	given	give	VBN
cord-348010-m3a3utvz	271	5	by	by	IN
cord-348010-m3a3utvz	271	6	Due	due	IN
cord-348010-m3a3utvz	271	7	to	to	IN
cord-348010-m3a3utvz	271	8	(	(	-LRB-
cord-348010-m3a3utvz	271	9	2.5	2.5	CD
cord-348010-m3a3utvz	271	10	)	)	-RRB-
cord-348010-m3a3utvz	271	11	,	,	,
cord-348010-m3a3utvz	271	12	a	a	DT
cord-348010-m3a3utvz	271	13	constant	constant	NN
cord-348010-m3a3utvz	271	14	is	be	VBZ
cord-348010-m3a3utvz	271	15	not	not	RB
cord-348010-m3a3utvz	271	16	realistic	realistic	JJ
cord-348010-m3a3utvz	271	17	after	after	IN
cord-348010-m3a3utvz	271	18	some	some	DT
cord-348010-m3a3utvz	271	19	time	time	NN
cord-348010-m3a3utvz	271	20	for	for	IN
cord-348010-m3a3utvz	271	21	real	real	JJ
cord-348010-m3a3utvz	271	22	processes	process	NNS
cord-348010-m3a3utvz	271	23	.	.	.
cord-348010-m3a3utvz	272	1	Thus	thus	RB
cord-348010-m3a3utvz	272	2	,	,	,
cord-348010-m3a3utvz	272	3	there	there	EX
cord-348010-m3a3utvz	272	4	remains	remain	VBZ
cord-348010-m3a3utvz	272	5	the	the	DT
cord-348010-m3a3utvz	272	6	task	task	NN
cord-348010-m3a3utvz	272	7	to	to	TO
cord-348010-m3a3utvz	272	8	find	find	VB
cord-348010-m3a3utvz	272	9	out	out	RP
cord-348010-m3a3utvz	272	10	the	the	DT
cord-348010-m3a3utvz	272	11	detailed	detailed	JJ
cord-348010-m3a3utvz	272	12	structure	structure	NN
cord-348010-m3a3utvz	272	13	of	of	IN
cord-348010-m3a3utvz	272	14	for	for	IN
cord-348010-m3a3utvz	272	15	an	an	DT
cord-348010-m3a3utvz	272	16	infection	infection	NN
cord-348010-m3a3utvz	272	17	process	process	NN
cord-348010-m3a3utvz	272	18	.	.	.
cord-348010-m3a3utvz	273	1	We	-PRON-	PRP
cord-348010-m3a3utvz	273	2	return	return	VBP
cord-348010-m3a3utvz	273	3	to	to	IN
cord-348010-m3a3utvz	273	4	this	this	DT
cord-348010-m3a3utvz	273	5	in	in	IN
cord-348010-m3a3utvz	273	6	the	the	DT
cord-348010-m3a3utvz	273	7	next	next	JJ
cord-348010-m3a3utvz	273	8	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	273	9	2.2.1	2.2.1	CD
cord-348010-m3a3utvz	273	10	.	.	.
cord-348010-m3a3utvz	274	1	(	(	-LRB-
cord-348010-m3a3utvz	274	2	i	i	NN
cord-348010-m3a3utvz	274	3	)	)	-RRB-
cord-348010-m3a3utvz	275	1	In	in	IN
cord-348010-m3a3utvz	275	2	empirical	empirical	JJ
cord-348010-m3a3utvz	275	3	sciences	science	NNS
cord-348010-m3a3utvz	275	4	parameters	parameter	NNS
cord-348010-m3a3utvz	275	5	are	be	VBP
cord-348010-m3a3utvz	275	6	calculated	calculate	VBN
cord-348010-m3a3utvz	275	7	from	from	IN
cord-348010-m3a3utvz	275	8	measured	measure	VBN
cord-348010-m3a3utvz	275	9	data	datum	NNS
cord-348010-m3a3utvz	275	10	,	,	,
cord-348010-m3a3utvz	275	11	or	or	CC
cord-348010-m3a3utvz	275	12	in	in	IN
cord-348010-m3a3utvz	275	13	some	some	DT
cord-348010-m3a3utvz	275	14	cases	case	NNS
cord-348010-m3a3utvz	275	15	,	,	,
cord-348010-m3a3utvz	275	16	they	-PRON-	PRP
cord-348010-m3a3utvz	275	17	are	be	VBP
cord-348010-m3a3utvz	275	18	determined	determine	VBN
cord-348010-m3a3utvz	275	19	by	by	IN
cord-348010-m3a3utvz	275	20	direct	direct	JJ
cord-348010-m3a3utvz	275	21	measurements	measurement	NNS
cord-348010-m3a3utvz	275	22	.	.	.
cord-348010-m3a3utvz	276	1	As	as	IN
cord-348010-m3a3utvz	276	2	a	a	DT
cord-348010-m3a3utvz	276	3	rule	rule	NN
cord-348010-m3a3utvz	276	4	,	,	,
cord-348010-m3a3utvz	276	5	one	one	PRP
cord-348010-m3a3utvz	276	6	gets	get	VBZ
cord-348010-m3a3utvz	276	7	discrete	discrete	JJ
cord-348010-m3a3utvz	276	8	values	value	NNS
cord-348010-m3a3utvz	276	9	,	,	,
cord-348010-m3a3utvz	276	10	for	for	IN
cord-348010-m3a3utvz	276	11	instance	instance	NN
cord-348010-m3a3utvz	276	12	the	the	DT
cord-348010-m3a3utvz	276	13	maximum	maximum	JJ
cord-348010-m3a3utvz	276	14	air	air	NN
cord-348010-m3a3utvz	276	15	temperature	temperature	NN
cord-348010-m3a3utvz	276	16	for	for	IN
cord-348010-m3a3utvz	276	17	each	each	DT
cord-348010-m3a3utvz	276	18	day	day	NN
cord-348010-m3a3utvz	276	19	measured	measure	VBN
cord-348010-m3a3utvz	276	20	at	at	IN
cord-348010-m3a3utvz	276	21	one	one	CD
cord-348010-m3a3utvz	276	22	chosen	choose	VBN
cord-348010-m3a3utvz	276	23	place	place	NN
cord-348010-m3a3utvz	276	24	.	.	.
cord-348010-m3a3utvz	277	1	For	for	IN
cord-348010-m3a3utvz	277	2	further	further	JJ
cord-348010-m3a3utvz	277	3	mathematical	mathematical	JJ
cord-348010-m3a3utvz	277	4	treatment	treatment	NN
cord-348010-m3a3utvz	277	5	often	often	RB
cord-348010-m3a3utvz	277	6	a	a	DT
cord-348010-m3a3utvz	277	7	parameter	parameter	NN
cord-348010-m3a3utvz	277	8	function	function	NN
cord-348010-m3a3utvz	277	9	is	be	VBZ
cord-348010-m3a3utvz	277	10	constructed	construct	VBN
cord-348010-m3a3utvz	277	11	using	use	VBG
cord-348010-m3a3utvz	277	12	the	the	DT
cord-348010-m3a3utvz	277	13	obtained	obtain	VBN
cord-348010-m3a3utvz	277	14	discrete	discrete	JJ
cord-348010-m3a3utvz	277	15	values	value	NNS
cord-348010-m3a3utvz	277	16	.	.	.
cord-348010-m3a3utvz	278	1	A	a	DT
cord-348010-m3a3utvz	278	2	simple	simple	JJ
cord-348010-m3a3utvz	278	3	way	way	NN
cord-348010-m3a3utvz	278	4	to	to	TO
cord-348010-m3a3utvz	278	5	do	do	VB
cord-348010-m3a3utvz	278	6	this	this	DT
cord-348010-m3a3utvz	278	7	consists	consist	VBZ
cord-348010-m3a3utvz	278	8	in	in	IN
cord-348010-m3a3utvz	278	9	building	build	VBG
cord-348010-m3a3utvz	278	10	a	a	DT
cord-348010-m3a3utvz	278	11	step	step	NN
cord-348010-m3a3utvz	278	12	function	function	NN
cord-348010-m3a3utvz	278	13	.	.	.
cord-348010-m3a3utvz	279	1	The	the	DT
cord-348010-m3a3utvz	279	2	drawback	drawback	NN
cord-348010-m3a3utvz	279	3	is	be	VBZ
cord-348010-m3a3utvz	279	4	that	that	IN
cord-348010-m3a3utvz	279	5	step	step	NN
cord-348010-m3a3utvz	279	6	functions	function	NNS
cord-348010-m3a3utvz	279	7	are	be	VBP
cord-348010-m3a3utvz	279	8	not	not	RB
cord-348010-m3a3utvz	279	9	continuous	continuous	JJ
cord-348010-m3a3utvz	279	10	at	at	IN
cord-348010-m3a3utvz	279	11	all	all	DT
cord-348010-m3a3utvz	279	12	arguments	argument	NNS
cord-348010-m3a3utvz	279	13	.	.	.
cord-348010-m3a3utvz	280	1	The	the	DT
cord-348010-m3a3utvz	280	2	way	way	NN
cord-348010-m3a3utvz	280	3	out	out	RP
cord-348010-m3a3utvz	280	4	is	be	VBZ
cord-348010-m3a3utvz	280	5	an	an	DT
cord-348010-m3a3utvz	280	6	interpolation	interpolation	NN
cord-348010-m3a3utvz	280	7	to	to	IN
cord-348010-m3a3utvz	280	8	a	a	DT
cord-348010-m3a3utvz	280	9	piece	piece	NN
cord-348010-m3a3utvz	280	10	-	-	HYPH
cord-348010-m3a3utvz	280	11	wise	wise	JJ
cord-348010-m3a3utvz	280	12	linear	linear	JJ
cord-348010-m3a3utvz	280	13	continuous	continuous	JJ
cord-348010-m3a3utvz	280	14	function	function	NN
cord-348010-m3a3utvz	280	15	or	or	CC
cord-348010-m3a3utvz	280	16	to	to	IN
cord-348010-m3a3utvz	280	17	functions	function	NNS
cord-348010-m3a3utvz	280	18	exhibiting	exhibit	VBG
cord-348010-m3a3utvz	280	19	differentiability	differentiability	NN
cord-348010-m3a3utvz	280	20	of	of	IN
cord-348010-m3a3utvz	280	21	some	some	DT
cord-348010-m3a3utvz	280	22	order	order	NN
cord-348010-m3a3utvz	280	23	.	.	.
cord-348010-m3a3utvz	281	1	(	(	-LRB-
cord-348010-m3a3utvz	281	2	ii	ii	NN
cord-348010-m3a3utvz	281	3	)	)	-RRB-
cord-348010-m3a3utvz	282	1	For	for	IN
cord-348010-m3a3utvz	282	2	convenience	convenience	NN
cord-348010-m3a3utvz	282	3	,	,	,
cord-348010-m3a3utvz	282	4	in	in	IN
cord-348010-m3a3utvz	282	5	this	this	DT
cord-348010-m3a3utvz	282	6	study	study	NN
cord-348010-m3a3utvz	282	7	we	-PRON-	PRP
cord-348010-m3a3utvz	282	8	assume	assume	VBP
cord-348010-m3a3utvz	282	9	continuity	continuity	NN
cord-348010-m3a3utvz	282	10	of	of	IN
cord-348010-m3a3utvz	282	11	arising	arise	VBG
cord-348010-m3a3utvz	282	12	parameter	parameter	NN
cord-348010-m3a3utvz	282	13	functions	function	NNS
cord-348010-m3a3utvz	282	14	.	.	.
cord-348010-m3a3utvz	283	1	However	however	RB
cord-348010-m3a3utvz	283	2	,	,	,
cord-348010-m3a3utvz	283	3	some	some	DT
cord-348010-m3a3utvz	283	4	mathematical	mathematical	JJ
cord-348010-m3a3utvz	283	5	results	result	NNS
cord-348010-m3a3utvz	283	6	remain	remain	VBP
cord-348010-m3a3utvz	283	7	valid	valid	JJ
cord-348010-m3a3utvz	283	8	under	under	IN
cord-348010-m3a3utvz	283	9	slightly	slightly	RB
cord-348010-m3a3utvz	283	10	changed	change	VBN
cord-348010-m3a3utvz	283	11	conditions	condition	NNS
cord-348010-m3a3utvz	283	12	for	for	IN
cord-348010-m3a3utvz	283	13	step	step	NN
cord-348010-m3a3utvz	283	14	functions	function	NNS
cord-348010-m3a3utvz	283	15	,	,	,
cord-348010-m3a3utvz	283	16	see	see	VB
cord-348010-m3a3utvz	283	17	Remark	remark	NN
cord-348010-m3a3utvz	283	18	4.4	4.4	CD
cord-348010-m3a3utvz	283	19	(	(	-LRB-
cord-348010-m3a3utvz	283	20	i	i	NN
cord-348010-m3a3utvz	283	21	)	)	-RRB-
cord-348010-m3a3utvz	283	22	.	.	.
cord-348010-m3a3utvz	284	1	This	this	DT
cord-348010-m3a3utvz	284	2	point	point	NN
cord-348010-m3a3utvz	284	3	plays	play	VBZ
cord-348010-m3a3utvz	284	4	some	some	DT
cord-348010-m3a3utvz	284	5	role	role	NN
cord-348010-m3a3utvz	284	6	in	in	IN
cord-348010-m3a3utvz	284	7	Section	section	NN
cord-348010-m3a3utvz	284	8	4	4	CD
cord-348010-m3a3utvz	284	9	.	.	.
cord-348010-m3a3utvz	285	1	Remarks	remark	NNS
cord-348010-m3a3utvz	285	2	2.4	2.4	CD
cord-348010-m3a3utvz	285	3	.	.	.
cord-348010-m3a3utvz	286	1	(	(	-LRB-
cord-348010-m3a3utvz	286	2	Exponential	exponential	JJ
cord-348010-m3a3utvz	286	3	growth	growth	NN
cord-348010-m3a3utvz	286	4	and	and	CC
cord-348010-m3a3utvz	286	5	decay	decay	NN
cord-348010-m3a3utvz	286	6	)	)	-RRB-
cord-348010-m3a3utvz	286	7	3	3	CD
cord-348010-m3a3utvz	286	8	)	)	-RRB-
cord-348010-m3a3utvz	286	9	describes	describe	VBZ
cord-348010-m3a3utvz	286	10	an	an	DT
cord-348010-m3a3utvz	286	11	exponential	exponential	JJ
cord-348010-m3a3utvz	286	12	decay	decay	NN
cord-348010-m3a3utvz	286	13	,	,	,
cord-348010-m3a3utvz	286	14	for	for	IN
cord-348010-m3a3utvz	286	15	instance	instance	NN
cord-348010-m3a3utvz	286	16	radioactive	radioactive	JJ
cord-348010-m3a3utvz	286	17	decay	decay	NN
cord-348010-m3a3utvz	286	18	.	.	.
cord-348010-m3a3utvz	287	1	(	(	-LRB-
cord-348010-m3a3utvz	287	2	ii	ii	NN
cord-348010-m3a3utvz	287	3	)	)	-RRB-
cord-348010-m3a3utvz	288	1	Typical	typical	JJ
cord-348010-m3a3utvz	288	2	issues	issue	NNS
cord-348010-m3a3utvz	288	3	of	of	IN
cord-348010-m3a3utvz	288	4	exponential	exponential	JJ
cord-348010-m3a3utvz	288	5	growth	growth	NN
cord-348010-m3a3utvz	288	6	and	and	CC
cord-348010-m3a3utvz	288	7	decay	decay	VB
cord-348010-m3a3utvz	288	8	(	(	-LRB-
cord-348010-m3a3utvz	288	9	with	with	IN
cord-348010-m3a3utvz	288	10	constant	constant	JJ
cord-348010-m3a3utvz	288	11	)	)	-RRB-
cord-348010-m3a3utvz	288	12	are	be	VBP
cord-348010-m3a3utvz	288	13	doubling	double	VBG
cord-348010-m3a3utvz	288	14	time	time	NN
cord-348010-m3a3utvz	288	15	and	and	CC
cord-348010-m3a3utvz	288	16	half	half	JJ
cord-348010-m3a3utvz	288	17	-	-	HYPH
cord-348010-m3a3utvz	288	18	value	value	NN
cord-348010-m3a3utvz	288	19	time	time	NN
cord-348010-m3a3utvz	288	20	(	(	-LRB-
cord-348010-m3a3utvz	288	21	or	or	CC
cord-348010-m3a3utvz	288	22	half	half	JJ
cord-348010-m3a3utvz	288	23	time	time	NN
cord-348010-m3a3utvz	288	24	)	)	-RRB-
cord-348010-m3a3utvz	288	25	,	,	,
cord-348010-m3a3utvz	288	26	respectively	respectively	RB
cord-348010-m3a3utvz	288	27	.	.	.
cord-348010-m3a3utvz	289	1	These	these	DT
cord-348010-m3a3utvz	289	2	quantities	quantity	NNS
cord-348010-m3a3utvz	289	3	mean	mean	VBP
cord-348010-m3a3utvz	289	4	the	the	DT
cord-348010-m3a3utvz	289	5	time	time	NN
cord-348010-m3a3utvz	289	6	duration	duration	NN
cord-348010-m3a3utvz	289	7	,	,	,
cord-348010-m3a3utvz	289	8	during	during	IN
cord-348010-m3a3utvz	289	9	which	which	WDT
cord-348010-m3a3utvz	289	10	a	a	DT
cord-348010-m3a3utvz	289	11	growing	grow	VBG
cord-348010-m3a3utvz	289	12	quantity	quantity	NN
cord-348010-m3a3utvz	289	13	reduplicates	reduplicate	NNS
cord-348010-m3a3utvz	289	14	and	and	CC
cord-348010-m3a3utvz	289	15	a	a	DT
cord-348010-m3a3utvz	289	16	shrinking	shrink	VBG
cord-348010-m3a3utvz	289	17	quantity	quantity	NN
cord-348010-m3a3utvz	289	18	is	be	VBZ
cord-348010-m3a3utvz	289	19	divided	divide	VBN
cord-348010-m3a3utvz	289	20	in	in	IN
cord-348010-m3a3utvz	289	21	half	half	NN
cord-348010-m3a3utvz	289	22	,	,	,
cord-348010-m3a3utvz	289	23	respectively	respectively	RB
cord-348010-m3a3utvz	289	24	.	.	.
cord-348010-m3a3utvz	290	1	Suppose	suppose	VB
cord-348010-m3a3utvz	290	2	,	,	,
cord-348010-m3a3utvz	290	3	a	a	DT
cord-348010-m3a3utvz	290	4	growing	grow	VBG
cord-348010-m3a3utvz	290	5	quantity	quantity	NN
cord-348010-m3a3utvz	290	6	reduplicates	reduplicate	NNS
cord-348010-m3a3utvz	290	7	during	during	IN
cord-348010-m3a3utvz	290	8	the	the	DT
cord-348010-m3a3utvz	290	9	time	time	NN
cord-348010-m3a3utvz	290	10	interval	interval	NN
cord-348010-m3a3utvz	290	11	[	[	-LRB-
cord-348010-m3a3utvz	290	12	1	1	CD
cord-348010-m3a3utvz	290	13	,	,	,
cord-348010-m3a3utvz	290	14	2	2	CD
cord-348010-m3a3utvz	290	15	]	]	-RRB-
cord-348010-m3a3utvz	290	16	with	with	IN
cord-348010-m3a3utvz	290	17	0	0	CD
cord-348010-m3a3utvz	290	18	≤	≤	NN
cord-348010-m3a3utvz	290	19	1	1	CD
cord-348010-m3a3utvz	290	20	<	<	XX
cord-348010-m3a3utvz	290	21	2	2	CD
cord-348010-m3a3utvz	290	22	<	<	XX
cord-348010-m3a3utvz	290	23	∞.	∞.	XX
cord-348010-m3a3utvz	291	1	Then	then	RB
cord-348010-m3a3utvz	291	2	the	the	DT
cord-348010-m3a3utvz	291	3	doubling	double	VBG
cord-348010-m3a3utvz	291	4	time	time	NN
cord-348010-m3a3utvz	291	5	fulfils	fulfil	VBZ
cord-348010-m3a3utvz	291	6	∶=	∶=	CD
cord-348010-m3a3utvz	291	7	2	2	CD
cord-348010-m3a3utvz	291	8	−	−	NN
cord-348010-m3a3utvz	291	9	1	1	CD
cord-348010-m3a3utvz	291	10	=	=	SYM
cord-348010-m3a3utvz	291	11	1	1	CD
cord-348010-m3a3utvz	291	12	∕	∕	JJ
cord-348010-m3a3utvz	291	13	ln(2	ln(2	NNPS
cord-348010-m3a3utvz	291	14	)	)	-RRB-
cord-348010-m3a3utvz	291	15	and	and	CC
cord-348010-m3a3utvz	291	16	is	be	VBZ
cord-348010-m3a3utvz	291	17	only	only	RB
cord-348010-m3a3utvz	291	18	determined	determine	VBN
cord-348010-m3a3utvz	291	19	by	by	IN
cord-348010-m3a3utvz	291	20	the	the	DT
cord-348010-m3a3utvz	291	21	length	length	NN
cord-348010-m3a3utvz	291	22	2	2	CD
cord-348010-m3a3utvz	291	23	−	−	NN
cord-348010-m3a3utvz	291	24	1	1	CD
cord-348010-m3a3utvz	291	25	of	of	IN
cord-348010-m3a3utvz	291	26	the	the	DT
cord-348010-m3a3utvz	291	27	interval	interval	NN
cord-348010-m3a3utvz	291	28	and	and	CC
cord-348010-m3a3utvz	291	29	not	not	RB
cord-348010-m3a3utvz	291	30	by	by	IN
cord-348010-m3a3utvz	291	31	its	-PRON-	PRP$
cord-348010-m3a3utvz	291	32	position	position	NN
cord-348010-m3a3utvz	291	33	on	on	IN
cord-348010-m3a3utvz	291	34	the	the	DT
cord-348010-m3a3utvz	291	35	real	real	JJ
cord-348010-m3a3utvz	291	36	line	line	NN
cord-348010-m3a3utvz	291	37	.	.	.
cord-348010-m3a3utvz	292	1	An	an	DT
cord-348010-m3a3utvz	292	2	analogous	analogous	JJ
cord-348010-m3a3utvz	292	3	assertion	assertion	NN
cord-348010-m3a3utvz	292	4	holds	hold	VBZ
cord-348010-m3a3utvz	292	5	for	for	IN
cord-348010-m3a3utvz	292	6	<	<	XX
cord-348010-m3a3utvz	292	7	0	0	NFP
cord-348010-m3a3utvz	292	8	:	:	:
cord-348010-m3a3utvz	292	9	The	the	DT
cord-348010-m3a3utvz	292	10	halfvalue	halfvalue	NNS
cord-348010-m3a3utvz	292	11	time	time	NN
cord-348010-m3a3utvz	292	12	ℎ	ℎ	NNP
cord-348010-m3a3utvz	292	13	is	be	VBZ
cord-348010-m3a3utvz	292	14	given	give	VBN
cord-348010-m3a3utvz	292	15	by	by	IN
cord-348010-m3a3utvz	292	16	ℎ	ℎ	NN
cord-348010-m3a3utvz	293	1	∶=	∶=	CD
cord-348010-m3a3utvz	293	2	2	2	CD
cord-348010-m3a3utvz	293	3	−	−	NN
cord-348010-m3a3utvz	294	1	1	1	LS
cord-348010-m3a3utvz	294	2	=	=	SYM
cord-348010-m3a3utvz	294	3	−	−	NN
cord-348010-m3a3utvz	295	1	1	1	LS
cord-348010-m3a3utvz	295	2	∕	∕	CD
cord-348010-m3a3utvz	295	3	ln(2	ln(2	NNS
cord-348010-m3a3utvz	295	4	)	)	-RRB-
cord-348010-m3a3utvz	295	5	.	.	.
cord-348010-m3a3utvz	296	1	If	if	IN
cord-348010-m3a3utvz	296	2	the	the	DT
cord-348010-m3a3utvz	296	3	half	half	JJ
cord-348010-m3a3utvz	296	4	-	-	HYPH
cord-348010-m3a3utvz	296	5	value	value	NN
cord-348010-m3a3utvz	296	6	time	time	NN
cord-348010-m3a3utvz	296	7	is	be	VBZ
cord-348010-m3a3utvz	296	8	over	over	RB
cord-348010-m3a3utvz	296	9	,	,	,
cord-348010-m3a3utvz	296	10	a	a	DT
cord-348010-m3a3utvz	296	11	half	half	NN
cord-348010-m3a3utvz	296	12	of	of	IN
cord-348010-m3a3utvz	296	13	the	the	DT
cord-348010-m3a3utvz	296	14	initially	initially	RB
cord-348010-m3a3utvz	296	15	existing	exist	VBG
cord-348010-m3a3utvz	296	16	radioactive	radioactive	JJ
cord-348010-m3a3utvz	296	17	substance	substance	NN
cord-348010-m3a3utvz	296	18	has	have	VBZ
cord-348010-m3a3utvz	296	19	decayed	decay	VBN
cord-348010-m3a3utvz	296	20	.	.	.
cord-348010-m3a3utvz	297	1	Moreover	moreover	RB
cord-348010-m3a3utvz	297	2	,	,	,
cord-348010-m3a3utvz	297	3	the	the	DT
cord-348010-m3a3utvz	297	4	half	half	JJ
cord-348010-m3a3utvz	297	5	-	-	HYPH
cord-348010-m3a3utvz	297	6	value	value	NN
cord-348010-m3a3utvz	297	7	time	time	NN
cord-348010-m3a3utvz	297	8	is	be	VBZ
cord-348010-m3a3utvz	297	9	also	also	RB
cord-348010-m3a3utvz	297	10	the	the	DT
cord-348010-m3a3utvz	297	11	mean	mean	JJ
cord-348010-m3a3utvz	297	12	"	"	``
cord-348010-m3a3utvz	297	13	life	life	NN
cord-348010-m3a3utvz	297	14	span	span	NN
cord-348010-m3a3utvz	297	15	"	"	''
cord-348010-m3a3utvz	297	16	of	of	IN
cord-348010-m3a3utvz	297	17	a	a	DT
cord-348010-m3a3utvz	297	18	radioactive	radioactive	JJ
cord-348010-m3a3utvz	297	19	atom	atom	NN
cord-348010-m3a3utvz	297	20	.	.	.
cord-348010-m3a3utvz	298	1	The	the	DT
cord-348010-m3a3utvz	298	2	value	value	NN
cord-348010-m3a3utvz	298	3	exp	exp	NN
cord-348010-m3a3utvz	298	4	(	(	-LRB-
cord-348010-m3a3utvz	298	5	)	)	-RRB-
cord-348010-m3a3utvz	298	6	(	(	-LRB-
cord-348010-m3a3utvz	298	7	with	with	IN
cord-348010-m3a3utvz	298	8	<	<	XX
cord-348010-m3a3utvz	298	9	0	0	NFP
cord-348010-m3a3utvz	298	10	)	)	-RRB-
cord-348010-m3a3utvz	298	11	can	can	MD
cord-348010-m3a3utvz	298	12	be	be	VB
cord-348010-m3a3utvz	298	13	interpreted	interpret	VBN
cord-348010-m3a3utvz	298	14	as	as	IN
cord-348010-m3a3utvz	298	15	the	the	DT
cord-348010-m3a3utvz	298	16	probability	probability	NN
cord-348010-m3a3utvz	298	17	,	,	,
cord-348010-m3a3utvz	298	18	that	that	IN
cord-348010-m3a3utvz	298	19	a	a	DT
cord-348010-m3a3utvz	298	20	radioactive	radioactive	JJ
cord-348010-m3a3utvz	298	21	atom	atom	NN
cord-348010-m3a3utvz	298	22	is	be	VBZ
cord-348010-m3a3utvz	298	23	not	not	RB
cord-348010-m3a3utvz	298	24	yet	yet	RB
cord-348010-m3a3utvz	298	25	decayed	decay	VBN
cord-348010-m3a3utvz	298	26	at	at	IN
cord-348010-m3a3utvz	298	27	.	.	.
cord-348010-m3a3utvz	299	1	This	this	DT
cord-348010-m3a3utvz	299	2	last	last	JJ
cord-348010-m3a3utvz	299	3	thought	thought	NN
cord-348010-m3a3utvz	299	4	plays	play	VBZ
cord-348010-m3a3utvz	299	5	an	an	DT
cord-348010-m3a3utvz	299	6	important	important	JJ
cord-348010-m3a3utvz	299	7	role	role	NN
cord-348010-m3a3utvz	299	8	later	later	RB
cord-348010-m3a3utvz	299	9	on	on	RB
cord-348010-m3a3utvz	299	10	when	when	WRB
cord-348010-m3a3utvz	299	11	dealing	deal	VBG
cord-348010-m3a3utvz	299	12	with	with	IN
cord-348010-m3a3utvz	299	13	latent	latent	NN
cord-348010-m3a3utvz	299	14	and	and	CC
cord-348010-m3a3utvz	299	15	incubation	incubation	NN
cord-348010-m3a3utvz	299	16	periods	period	NNS
cord-348010-m3a3utvz	299	17	.	.	.
cord-348010-m3a3utvz	300	1	Limited	limited	JJ
cord-348010-m3a3utvz	300	2	growth	growth	NN
cord-348010-m3a3utvz	300	3	-non	-non	HYPH
cord-348010-m3a3utvz	300	4	-	-	HYPH
cord-348010-m3a3utvz	300	5	linear	linear	JJ
cord-348010-m3a3utvz	300	6	equation	equation	NN
cord-348010-m3a3utvz	300	7	for	for	IN
cord-348010-m3a3utvz	300	8	.	.	.
cord-348010-m3a3utvz	301	1	In	in	IN
cord-348010-m3a3utvz	301	2	real	real	JJ
cord-348010-m3a3utvz	301	3	applications	application	NNS
cord-348010-m3a3utvz	301	4	,	,	,
cord-348010-m3a3utvz	301	5	an	an	DT
cord-348010-m3a3utvz	301	6	unlimited	unlimited	JJ
cord-348010-m3a3utvz	301	7	exponential	exponential	JJ
cord-348010-m3a3utvz	301	8	growth	growth	NN
cord-348010-m3a3utvz	301	9	predicted	predict	VBN
cord-348010-m3a3utvz	301	10	by	by	IN
cord-348010-m3a3utvz	301	11	equation	equation	NN
cord-348010-m3a3utvz	301	12	(	(	-LRB-
cord-348010-m3a3utvz	301	13	2.5	2.5	CD
cord-348010-m3a3utvz	301	14	)	)	-RRB-
cord-348010-m3a3utvz	301	15	is	be	VBZ
cord-348010-m3a3utvz	301	16	no	no	DT
cord-348010-m3a3utvz	301	17	longer	long	RBR
cord-348010-m3a3utvz	301	18	observed	observe	VBN
cord-348010-m3a3utvz	301	19	after	after	IN
cord-348010-m3a3utvz	301	20	some	some	DT
cord-348010-m3a3utvz	301	21	time	time	NN
cord-348010-m3a3utvz	301	22	.	.	.
cord-348010-m3a3utvz	302	1	Concerning	concern	VBG
cord-348010-m3a3utvz	302	2	infectious	infectious	JJ
cord-348010-m3a3utvz	302	3	diseases	disease	NNS
cord-348010-m3a3utvz	302	4	,	,	,
cord-348010-m3a3utvz	302	5	after	after	IN
cord-348010-m3a3utvz	302	6	some	some	DT
cord-348010-m3a3utvz	302	7	time	time	NN
cord-348010-m3a3utvz	302	8	an	an	DT
cord-348010-m3a3utvz	302	9	infectious	infectious	JJ
cord-348010-m3a3utvz	302	10	person	person	NN
cord-348010-m3a3utvz	302	11	has	have	VBZ
cord-348010-m3a3utvz	302	12	also	also	RB
cord-348010-m3a3utvz	302	13	adequate	adequate	JJ
cord-348010-m3a3utvz	302	14	contacts	contact	NNS
cord-348010-m3a3utvz	302	15	(	(	-LRB-
cord-348010-m3a3utvz	302	16	see	see	VB
cord-348010-m3a3utvz	302	17	Definition	Definition	NNP
cord-348010-m3a3utvz	302	18	2.1	2.1	CD
cord-348010-m3a3utvz	302	19	(	(	-LRB-
cord-348010-m3a3utvz	302	20	i	i	NN
cord-348010-m3a3utvz	302	21	)	)	-RRB-
cord-348010-m3a3utvz	302	22	)	)	-RRB-
cord-348010-m3a3utvz	302	23	to	to	IN
cord-348010-m3a3utvz	302	24	already	already	RB
cord-348010-m3a3utvz	302	25	infected	infect	VBN
cord-348010-m3a3utvz	302	26	ones	one	NNS
cord-348010-m3a3utvz	302	27	.	.	.
cord-348010-m3a3utvz	303	1	These	these	DT
cord-348010-m3a3utvz	303	2	contacts	contact	NNS
cord-348010-m3a3utvz	303	3	do	do	VBP
cord-348010-m3a3utvz	303	4	not	not	RB
cord-348010-m3a3utvz	303	5	produce	produce	VB
cord-348010-m3a3utvz	303	6	new	new	JJ
cord-348010-m3a3utvz	303	7	infected	infected	JJ
cord-348010-m3a3utvz	303	8	individuals	individual	NNS
cord-348010-m3a3utvz	303	9	.	.	.
cord-348010-m3a3utvz	304	1	Therefore	therefore	RB
cord-348010-m3a3utvz	304	2	,	,	,
cord-348010-m3a3utvz	304	3	a	a	DT
cord-348010-m3a3utvz	304	4	constant	constant	JJ
cord-348010-m3a3utvz	304	5	proportionality	proportionality	NN
cord-348010-m3a3utvz	304	6	factor	factor	NN
cord-348010-m3a3utvz	304	7	in	in	IN
cord-348010-m3a3utvz	304	8	(	(	-LRB-
cord-348010-m3a3utvz	304	9	2.3	2.3	CD
cord-348010-m3a3utvz	304	10	)	)	-RRB-
cord-348010-m3a3utvz	304	11	is	be	VBZ
cord-348010-m3a3utvz	304	12	not	not	RB
cord-348010-m3a3utvz	304	13	realistic	realistic	JJ
cord-348010-m3a3utvz	304	14	.	.	.
cord-348010-m3a3utvz	305	1	We	-PRON-	PRP
cord-348010-m3a3utvz	305	2	change	change	VBP
cord-348010-m3a3utvz	305	3	this	this	DT
cord-348010-m3a3utvz	305	4	equation	equation	NN
cord-348010-m3a3utvz	305	5	in	in	IN
cord-348010-m3a3utvz	305	6	the	the	DT
cord-348010-m3a3utvz	305	7	following	following	JJ
cord-348010-m3a3utvz	305	8	way	way	NN
cord-348010-m3a3utvz	305	9	.	.	.
cord-348010-m3a3utvz	306	1	Instead	instead	RB
cord-348010-m3a3utvz	306	2	of	of	IN
cord-348010-m3a3utvz	306	3	there	there	EX
cord-348010-m3a3utvz	306	4	is	be	VBZ
cord-348010-m3a3utvz	306	5	the	the	DT
cord-348010-m3a3utvz	306	6	expression	expression	NN
cord-348010-m3a3utvz	306	7	(	(	-LRB-
cord-348010-m3a3utvz	306	8	)	)	-RRB-
cord-348010-m3a3utvz	306	9	(	(	-LRB-
cord-348010-m3a3utvz	306	10	)	)	-RRB-
cord-348010-m3a3utvz	306	11	∕	∕	JJ
cord-348010-m3a3utvz	306	12	(	(	-LRB-
cord-348010-m3a3utvz	306	13	)	)	-RRB-
cord-348010-m3a3utvz	306	14	with	with	IN
cord-348010-m3a3utvz	306	15	a	a	DT
cord-348010-m3a3utvz	306	16	positive	positive	JJ
cord-348010-m3a3utvz	306	17	continuous	continuous	JJ
cord-348010-m3a3utvz	306	18	.	.	.
cord-348010-m3a3utvz	307	1	It	-PRON-	PRP
cord-348010-m3a3utvz	307	2	expresses	express	VBZ
cord-348010-m3a3utvz	307	3	how	how	WRB
cord-348010-m3a3utvz	307	4	many	many	JJ
cord-348010-m3a3utvz	307	5	adequate	adequate	JJ
cord-348010-m3a3utvz	307	6	contacts	contact	NNS
cord-348010-m3a3utvz	307	7	one	one	CD
cord-348010-m3a3utvz	307	8	infectious	infectious	JJ
cord-348010-m3a3utvz	307	9	individual	individual	NN
cord-348010-m3a3utvz	307	10	has	have	VBZ
cord-348010-m3a3utvz	307	11	during	during	IN
cord-348010-m3a3utvz	307	12	a	a	DT
cord-348010-m3a3utvz	307	13	time	time	NN
cord-348010-m3a3utvz	307	14	unit	unit	NN
cord-348010-m3a3utvz	307	15	in	in	IN
cord-348010-m3a3utvz	307	16	the	the	DT
cord-348010-m3a3utvz	307	17	middle	middle	NN
cord-348010-m3a3utvz	307	18	with	with	IN
cord-348010-m3a3utvz	307	19	all	all	DT
cord-348010-m3a3utvz	307	20	persons	person	NNS
cord-348010-m3a3utvz	307	21	of	of	IN
cord-348010-m3a3utvz	307	22	the	the	DT
cord-348010-m3a3utvz	307	23	population	population	NN
cord-348010-m3a3utvz	307	24	.	.	.
cord-348010-m3a3utvz	308	1	Hence	hence	RB
cord-348010-m3a3utvz	308	2	,	,	,
cord-348010-m3a3utvz	308	3	is	be	VBZ
cord-348010-m3a3utvz	308	4	also	also	RB
cord-348010-m3a3utvz	308	5	named	name	VBN
cord-348010-m3a3utvz	308	6	contact	contact	NN
cord-348010-m3a3utvz	308	7	coefficient	coefficient	NN
cord-348010-m3a3utvz	308	8	or	or	CC
cord-348010-m3a3utvz	308	9	contact	contact	NN
cord-348010-m3a3utvz	308	10	rate	rate	NN
cord-348010-m3a3utvz	308	11	.	.	.
cord-348010-m3a3utvz	309	1	We	-PRON-	PRP
cord-348010-m3a3utvz	309	2	prefer	prefer	VBP
cord-348010-m3a3utvz	309	3	the	the	DT
cord-348010-m3a3utvz	309	4	first	first	JJ
cord-348010-m3a3utvz	309	5	name	name	NN
cord-348010-m3a3utvz	309	6	.	.	.
cord-348010-m3a3utvz	310	1	In	in	IN
cord-348010-m3a3utvz	310	2	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	310	3	2.2.2	2.2.2	CD
cord-348010-m3a3utvz	310	4	,	,	,
cord-348010-m3a3utvz	310	5	we	-PRON-	PRP
cord-348010-m3a3utvz	310	6	discuss	discuss	VBP
cord-348010-m3a3utvz	310	7	the	the	DT
cord-348010-m3a3utvz	310	8	relations	relation	NNS
cord-348010-m3a3utvz	310	9	of	of	IN
cord-348010-m3a3utvz	310	10	with	with	IN
cord-348010-m3a3utvz	310	11	the	the	DT
cord-348010-m3a3utvz	310	12	mentioned	mention	VBN
cord-348010-m3a3utvz	310	13	above	above	IN
cord-348010-m3a3utvz	310	14	contact	contact	NN
cord-348010-m3a3utvz	310	15	and	and	CC
cord-348010-m3a3utvz	310	16	reproduction	reproduction	NN
cord-348010-m3a3utvz	310	17	number	number	NN
cord-348010-m3a3utvz	310	18	(	(	-LRB-
cord-348010-m3a3utvz	310	19	see	see	VB
cord-348010-m3a3utvz	310	20	Definition	Definition	NNP
cord-348010-m3a3utvz	310	21	2.1	2.1	CD
cord-348010-m3a3utvz	310	22	(	(	-LRB-
cord-348010-m3a3utvz	310	23	ii)-(iv	ii)-(iv	NN
cord-348010-m3a3utvz	310	24	)	)	-RRB-
cord-348010-m3a3utvz	310	25	)	)	-RRB-
cord-348010-m3a3utvz	310	26	.	.	.
cord-348010-m3a3utvz	311	1	Due	due	IN
cord-348010-m3a3utvz	311	2	to	to	IN
cord-348010-m3a3utvz	311	3	[	[	-LRB-
cord-348010-m3a3utvz	311	4	16	16	CD
cord-348010-m3a3utvz	311	5	]	]	-RRB-
cord-348010-m3a3utvz	311	6	,	,	,
cord-348010-m3a3utvz	311	7	does	do	VBZ
cord-348010-m3a3utvz	311	8	not	not	RB
cord-348010-m3a3utvz	311	9	essentially	essentially	RB
cord-348010-m3a3utvz	311	10	depend	depend	VB
cord-348010-m3a3utvz	311	11	on	on	IN
cord-348010-m3a3utvz	311	12	the	the	DT
cord-348010-m3a3utvz	311	13	size	size	NN
cord-348010-m3a3utvz	311	14	of	of	IN
cord-348010-m3a3utvz	311	15	human	human	JJ
cord-348010-m3a3utvz	311	16	population	population	NN
cord-348010-m3a3utvz	311	17	,	,	,
cord-348010-m3a3utvz	311	18	contrary	contrary	JJ
cord-348010-m3a3utvz	311	19	to	to	IN
cord-348010-m3a3utvz	311	20	infections	infection	NNS
cord-348010-m3a3utvz	311	21	spread	spread	VBN
cord-348010-m3a3utvz	311	22	among	among	IN
cord-348010-m3a3utvz	311	23	animals	animal	NNS
cord-348010-m3a3utvz	311	24	.	.	.
cord-348010-m3a3utvz	312	1	But	but	CC
cord-348010-m3a3utvz	312	2	there	there	EX
cord-348010-m3a3utvz	312	3	is	be	VBZ
cord-348010-m3a3utvz	312	4	generally	generally	RB
cord-348010-m3a3utvz	312	5	a	a	DT
cord-348010-m3a3utvz	312	6	density	density	NN
cord-348010-m3a3utvz	312	7	dependence	dependence	NN
cord-348010-m3a3utvz	312	8	of	of	IN
cord-348010-m3a3utvz	312	9	,	,	,
cord-348010-m3a3utvz	312	10	see	see	VB
cord-348010-m3a3utvz	312	11	[	[	-LRB-
cord-348010-m3a3utvz	312	12	20	20	CD
cord-348010-m3a3utvz	312	13	]	]	-RRB-
cord-348010-m3a3utvz	312	14	,	,	,
cord-348010-m3a3utvz	312	15	p.31	p.31	JJ
cord-348010-m3a3utvz	312	16	.	.	.
cord-348010-m3a3utvz	313	1	That	that	DT
cord-348010-m3a3utvz	313	2	means	mean	VBZ
cord-348010-m3a3utvz	313	3	,	,	,
cord-348010-m3a3utvz	313	4	if	if	IN
cord-348010-m3a3utvz	313	5	more	more	JJR
cord-348010-m3a3utvz	313	6	people	people	NNS
cord-348010-m3a3utvz	313	7	live	live	VBP
cord-348010-m3a3utvz	313	8	on	on	IN
cord-348010-m3a3utvz	313	9	the	the	DT
cord-348010-m3a3utvz	313	10	same	same	JJ
cord-348010-m3a3utvz	313	11	place	place	NN
cord-348010-m3a3utvz	313	12	,	,	,
cord-348010-m3a3utvz	313	13	the	the	DT
cord-348010-m3a3utvz	313	14	mean	mean	JJ
cord-348010-m3a3utvz	313	15	number	number	NN
cord-348010-m3a3utvz	313	16	of	of	IN
cord-348010-m3a3utvz	313	17	contacts	contact	NNS
cord-348010-m3a3utvz	313	18	grows	grow	VBZ
cord-348010-m3a3utvz	313	19	.	.	.
cord-348010-m3a3utvz	314	1	Thus	thus	RB
cord-348010-m3a3utvz	314	2	,	,	,
cord-348010-m3a3utvz	314	3	in	in	IN
cord-348010-m3a3utvz	314	4	applications	application	NNS
cord-348010-m3a3utvz	314	5	,	,	,
cord-348010-m3a3utvz	314	6	is	be	VBZ
cord-348010-m3a3utvz	314	7	related	relate	VBN
cord-348010-m3a3utvz	314	8	to	to	IN
cord-348010-m3a3utvz	314	9	the	the	DT
cord-348010-m3a3utvz	314	10	territory	territory	NN
cord-348010-m3a3utvz	314	11	considered	consider	VBN
cord-348010-m3a3utvz	314	12	,	,	,
cord-348010-m3a3utvz	314	13	for	for	IN
cord-348010-m3a3utvz	314	14	instance	instance	NN
cord-348010-m3a3utvz	314	15	for	for	IN
cord-348010-m3a3utvz	314	16	whole	whole	JJ
cord-348010-m3a3utvz	314	17	Germany	Germany	NNP
cord-348010-m3a3utvz	314	18	,	,	,
cord-348010-m3a3utvz	314	19	or	or	CC
cord-348010-m3a3utvz	314	20	only	only	RB
cord-348010-m3a3utvz	314	21	for	for	IN
cord-348010-m3a3utvz	314	22	its	-PRON-	PRP$
cord-348010-m3a3utvz	314	23	capital	capital	NN
cord-348010-m3a3utvz	314	24	Berlin	Berlin	NNP
cord-348010-m3a3utvz	314	25	.	.	.
cord-348010-m3a3utvz	315	1	Here	here	RB
cord-348010-m3a3utvz	315	2	,	,	,
cord-348010-m3a3utvz	315	3	has	have	VBZ
cord-348010-m3a3utvz	315	4	the	the	DT
cord-348010-m3a3utvz	315	5	unit	unit	NN
cord-348010-m3a3utvz	315	6	per	per	IN
cord-348010-m3a3utvz	315	7	time	time	NN
cord-348010-m3a3utvz	315	8	like	like	UH
cord-348010-m3a3utvz	315	9	in	in	IN
cord-348010-m3a3utvz	315	10	[	[	-LRB-
cord-348010-m3a3utvz	315	11	16	16	CD
cord-348010-m3a3utvz	315	12	]	]	-RRB-
cord-348010-m3a3utvz	315	13	.	.	.
cord-348010-m3a3utvz	316	1	Contrary	contrary	JJ
cord-348010-m3a3utvz	316	2	to	to	IN
cord-348010-m3a3utvz	316	3	this	this	DT
cord-348010-m3a3utvz	316	4	,	,	,
cord-348010-m3a3utvz	316	5	in	in	IN
cord-348010-m3a3utvz	316	6	[	[	-LRB-
cord-348010-m3a3utvz	316	7	20	20	CD
cord-348010-m3a3utvz	316	8	]	]	-RRB-
cord-348010-m3a3utvz	316	9	,	,	,
cord-348010-m3a3utvz	316	10	p.	p.	NN
cord-348010-m3a3utvz	316	11	xxi	xxi	NNP
cord-348010-m3a3utvz	316	12	,	,	,
cord-348010-m3a3utvz	316	13	and	and	CC
cord-348010-m3a3utvz	316	14	Ch	Ch	NNP
cord-348010-m3a3utvz	316	15	.	.	.
cord-348010-m3a3utvz	317	1	2	2	LS
cord-348010-m3a3utvz	317	2	,	,	,
cord-348010-m3a3utvz	317	3	has	have	VBZ
cord-348010-m3a3utvz	317	4	the	the	DT
cord-348010-m3a3utvz	317	5	unit	unit	NN
cord-348010-m3a3utvz	317	6	per	per	IN
cord-348010-m3a3utvz	317	7	person	person	NN
cord-348010-m3a3utvz	317	8	,	,	,
cord-348010-m3a3utvz	317	9	due	due	IN
cord-348010-m3a3utvz	317	10	to	to	IN
cord-348010-m3a3utvz	317	11	the	the	DT
cord-348010-m3a3utvz	317	12	difference	difference	NN
cord-348010-m3a3utvz	317	13	-	-	HYPH
cord-348010-m3a3utvz	317	14	equation	equation	NN
cord-348010-m3a3utvz	317	15	approach	approach	NN
cord-348010-m3a3utvz	317	16	.	.	.
cord-348010-m3a3utvz	318	1	The	the	DT
cord-348010-m3a3utvz	318	2	factor	factor	NN
cord-348010-m3a3utvz	318	3	(	(	-LRB-
cord-348010-m3a3utvz	318	4	)	)	-RRB-
cord-348010-m3a3utvz	318	5	∕	∕	JJ
cord-348010-m3a3utvz	318	6	(	(	-LRB-
cord-348010-m3a3utvz	318	7	)	)	-RRB-
cord-348010-m3a3utvz	318	8	=	=	NFP
cord-348010-m3a3utvz	319	1	(	(	-LRB-
cord-348010-m3a3utvz	319	2	)	)	-RRB-
cord-348010-m3a3utvz	319	3	is	be	VBZ
cord-348010-m3a3utvz	319	4	the	the	DT
cord-348010-m3a3utvz	319	5	fraction	fraction	NN
cord-348010-m3a3utvz	319	6	of	of	IN
cord-348010-m3a3utvz	319	7	susceptible	susceptible	JJ
cord-348010-m3a3utvz	319	8	persons	person	NNS
cord-348010-m3a3utvz	319	9	within	within	IN
cord-348010-m3a3utvz	319	10	the	the	DT
cord-348010-m3a3utvz	319	11	whole	whole	JJ
cord-348010-m3a3utvz	319	12	population	population	NN
cord-348010-m3a3utvz	319	13	.	.	.
cord-348010-m3a3utvz	320	1	It	-PRON-	PRP
cord-348010-m3a3utvz	320	2	expresses	express	VBZ
cord-348010-m3a3utvz	320	3	the	the	DT
cord-348010-m3a3utvz	320	4	probability	probability	NN
cord-348010-m3a3utvz	320	5	to	to	TO
cord-348010-m3a3utvz	320	6	meet	meet	VB
cord-348010-m3a3utvz	320	7	an	an	DT
cord-348010-m3a3utvz	320	8	individual	individual	NN
cord-348010-m3a3utvz	320	9	of	of	IN
cord-348010-m3a3utvz	320	10	the	the	DT
cord-348010-m3a3utvz	320	11	class	class	NN
cord-348010-m3a3utvz	320	12	at	at	IN
cord-348010-m3a3utvz	320	13	time	time	NN
cord-348010-m3a3utvz	320	14	.	.	.
cord-348010-m3a3utvz	321	1	Even	even	RB
cord-348010-m3a3utvz	321	2	though	though	RB
cord-348010-m3a3utvz	321	3	is	be	VBZ
cord-348010-m3a3utvz	321	4	constant	constant	JJ
cord-348010-m3a3utvz	321	5	,	,	,
cord-348010-m3a3utvz	321	6	the	the	DT
cord-348010-m3a3utvz	321	7	expression	expression	NN
cord-348010-m3a3utvz	321	8	(	(	-LRB-
cord-348010-m3a3utvz	321	9	)	)	-RRB-
cord-348010-m3a3utvz	321	10	∕	∕	JJ
cord-348010-m3a3utvz	321	11	(	(	-LRB-
cord-348010-m3a3utvz	321	12	)	)	-RRB-
cord-348010-m3a3utvz	321	13	decreases	decrease	VBZ
cord-348010-m3a3utvz	321	14	due	due	IN
cord-348010-m3a3utvz	321	15	to	to	IN
cord-348010-m3a3utvz	321	16	a	a	DT
cord-348010-m3a3utvz	321	17	shrinking	shrink	VBG
cord-348010-m3a3utvz	321	18	class	class	NN
cord-348010-m3a3utvz	321	19	in	in	IN
cord-348010-m3a3utvz	321	20	favour	favour	NN
cord-348010-m3a3utvz	321	21	of	of	IN
cord-348010-m3a3utvz	321	22	.	.	.
cord-348010-m3a3utvz	322	1	Thus	thus	RB
cord-348010-m3a3utvz	322	2	,	,	,
cord-348010-m3a3utvz	322	3	(	(	-LRB-
cord-348010-m3a3utvz	322	4	)	)	-RRB-
cord-348010-m3a3utvz	322	5	(	(	-LRB-
cord-348010-m3a3utvz	322	6	)	)	-RRB-
cord-348010-m3a3utvz	322	7	∕	∕	JJ
cord-348010-m3a3utvz	322	8	(	(	-LRB-
cord-348010-m3a3utvz	322	9	)	)	-RRB-
cord-348010-m3a3utvz	322	10	is	be	VBZ
cord-348010-m3a3utvz	322	11	also	also	RB
cord-348010-m3a3utvz	322	12	named	name	VBN
cord-348010-m3a3utvz	322	13	effective	effective	JJ
cord-348010-m3a3utvz	322	14	contact	contact	NN
cord-348010-m3a3utvz	322	15	coefficient	coefficient	NN
cord-348010-m3a3utvz	322	16	or	or	CC
cord-348010-m3a3utvz	322	17	effective	effective	JJ
cord-348010-m3a3utvz	322	18	contact	contact	NN
cord-348010-m3a3utvz	322	19	rate	rate	NN
cord-348010-m3a3utvz	322	20	.	.	.
cord-348010-m3a3utvz	323	1	From	from	IN
cord-348010-m3a3utvz	323	2	the	the	DT
cord-348010-m3a3utvz	323	3	viewpoint	viewpoint	NN
cord-348010-m3a3utvz	323	4	of	of	IN
cord-348010-m3a3utvz	323	5	it	-PRON-	PRP
cord-348010-m3a3utvz	323	6	can	can	MD
cord-348010-m3a3utvz	323	7	be	be	VB
cord-348010-m3a3utvz	323	8	spoken	speak	VBN
cord-348010-m3a3utvz	323	9	about	about	IN
cord-348010-m3a3utvz	323	10	an	an	DT
cord-348010-m3a3utvz	323	11	active	active	JJ
cord-348010-m3a3utvz	323	12	effective	effective	JJ
cord-348010-m3a3utvz	323	13	infection	infection	NN
cord-348010-m3a3utvz	323	14	coefficient	coefficient	NN
cord-348010-m3a3utvz	323	15	.	.	.
cord-348010-m3a3utvz	324	1	The	the	DT
cord-348010-m3a3utvz	324	2	whole	whole	JJ
cord-348010-m3a3utvz	324	3	expression	expression	NN
cord-348010-m3a3utvz	324	4	on	on	IN
cord-348010-m3a3utvz	324	5	the	the	DT
cord-348010-m3a3utvz	324	6	right	right	JJ
cord-348010-m3a3utvz	324	7	-	-	HYPH
cord-348010-m3a3utvz	324	8	hand	hand	NN
cord-348010-m3a3utvz	324	9	side	side	NN
cord-348010-m3a3utvz	324	10	of	of	IN
cord-348010-m3a3utvz	324	11	(	(	-LRB-
cord-348010-m3a3utvz	324	12	2.7	2.7	CD
cord-348010-m3a3utvz	324	13	)	)	-RRB-
cord-348010-m3a3utvz	324	14	is	be	VBZ
cord-348010-m3a3utvz	324	15	often	often	RB
cord-348010-m3a3utvz	324	16	named	name	VBN
cord-348010-m3a3utvz	324	17	standard	standard	JJ
cord-348010-m3a3utvz	324	18	incidence	incidence	NN
cord-348010-m3a3utvz	324	19	.	.	.
cord-348010-m3a3utvz	325	1	It	-PRON-	PRP
cord-348010-m3a3utvz	325	2	states	state	VBZ
cord-348010-m3a3utvz	325	3	how	how	WRB
cord-348010-m3a3utvz	325	4	many	many	JJ
cord-348010-m3a3utvz	325	5	cases	case	NNS
cord-348010-m3a3utvz	325	6	of	of	IN
cord-348010-m3a3utvz	325	7	infection	infection	NN
cord-348010-m3a3utvz	325	8	occur	occur	VBP
cord-348010-m3a3utvz	325	9	in	in	IN
cord-348010-m3a3utvz	325	10	a	a	DT
cord-348010-m3a3utvz	325	11	time	time	NN
cord-348010-m3a3utvz	325	12	unit	unit	NN
cord-348010-m3a3utvz	325	13	.	.	.
cord-348010-m3a3utvz	326	1	The	the	DT
cord-348010-m3a3utvz	326	2	equation	equation	NN
cord-348010-m3a3utvz	326	3	(	(	-LRB-
cord-348010-m3a3utvz	326	4	2.7	2.7	CD
cord-348010-m3a3utvz	326	5	)	)	-RRB-
cord-348010-m3a3utvz	326	6	means	mean	VBZ
cord-348010-m3a3utvz	326	7	that	that	IN
cord-348010-m3a3utvz	326	8	for	for	IN
cord-348010-m3a3utvz	326	9	≈	≈	NNP
cord-348010-m3a3utvz	326	10	,	,	,
cord-348010-m3a3utvz	326	11	also	also	RB
cord-348010-m3a3utvz	326	12	at	at	IN
cord-348010-m3a3utvz	326	13	the	the	DT
cord-348010-m3a3utvz	326	14	begin	begin	NN
cord-348010-m3a3utvz	326	15	with	with	IN
cord-348010-m3a3utvz	326	16	only	only	RB
cord-348010-m3a3utvz	326	17	some	some	DT
cord-348010-m3a3utvz	326	18	few	few	JJ
cord-348010-m3a3utvz	326	19	infective	infective	JJ
cord-348010-m3a3utvz	326	20	individuals	individual	NNS
cord-348010-m3a3utvz	326	21	,	,	,
cord-348010-m3a3utvz	326	22	the	the	DT
cord-348010-m3a3utvz	326	23	fraction	fraction	NN
cord-348010-m3a3utvz	326	24	∕	∕	VBP
cord-348010-m3a3utvz	326	25	approximately	approximately	RB
cord-348010-m3a3utvz	326	26	equals	equal	VBZ
cord-348010-m3a3utvz	326	27	to	to	IN
cord-348010-m3a3utvz	326	28	one	one	CD
cord-348010-m3a3utvz	326	29	.	.	.
cord-348010-m3a3utvz	327	1	Thus	thus	RB
cord-348010-m3a3utvz	327	2	,	,	,
cord-348010-m3a3utvz	327	3	at	at	IN
cord-348010-m3a3utvz	327	4	this	this	DT
cord-348010-m3a3utvz	327	5	time	time	NN
cord-348010-m3a3utvz	327	6	,	,	,
cord-348010-m3a3utvz	327	7	exponential	exponential	JJ
cord-348010-m3a3utvz	327	8	growth	growth	NN
cord-348010-m3a3utvz	327	9	occurs	occur	VBZ
cord-348010-m3a3utvz	327	10	else	else	RB
cord-348010-m3a3utvz	327	11	.	.	.
cord-348010-m3a3utvz	328	1	If	if	IN
cord-348010-m3a3utvz	328	2	grows	grow	VBZ
cord-348010-m3a3utvz	328	3	,	,	,
cord-348010-m3a3utvz	328	4	this	this	DT
cord-348010-m3a3utvz	328	5	fraction	fraction	NN
cord-348010-m3a3utvz	328	6	becomes	become	VBZ
cord-348010-m3a3utvz	328	7	smaller	small	JJR
cord-348010-m3a3utvz	328	8	,	,	,
cord-348010-m3a3utvz	328	9	and	and	CC
cord-348010-m3a3utvz	328	10	the	the	DT
cord-348010-m3a3utvz	328	11	growth	growth	NN
cord-348010-m3a3utvz	328	12	of	of	IN
cord-348010-m3a3utvz	328	13	essentially	essentially	RB
cord-348010-m3a3utvz	328	14	decelerates	decelerate	VBZ
cord-348010-m3a3utvz	328	15	.	.	.
cord-348010-m3a3utvz	329	1	The	the	DT
cord-348010-m3a3utvz	329	2	effective	effective	JJ
cord-348010-m3a3utvz	329	3	contact	contact	NN
cord-348010-m3a3utvz	329	4	coefficient	coefficient	NN
cord-348010-m3a3utvz	329	5	in	in	IN
cord-348010-m3a3utvz	329	6	(	(	-LRB-
cord-348010-m3a3utvz	329	7	2.7	2.7	CD
cord-348010-m3a3utvz	329	8	)	)	-RRB-
cord-348010-m3a3utvz	329	9	tends	tend	VBZ
cord-348010-m3a3utvz	329	10	to	to	IN
cord-348010-m3a3utvz	329	11	zero	zero	CD
cord-348010-m3a3utvz	329	12	,	,	,
cord-348010-m3a3utvz	329	13	at	at	IN
cord-348010-m3a3utvz	329	14	least	least	JJS
cord-348010-m3a3utvz	329	15	for	for	IN
cord-348010-m3a3utvz	329	16	constant	constant	JJ
cord-348010-m3a3utvz	329	17	and	and	CC
cord-348010-m3a3utvz	329	18	.	.	.
cord-348010-m3a3utvz	330	1	The	the	DT
cord-348010-m3a3utvz	330	2	realistic	realistic	JJ
cord-348010-m3a3utvz	330	3	assumption	assumption	NN
cord-348010-m3a3utvz	330	4	∕	∕	IN
cord-348010-m3a3utvz	330	5	≈	≈	NNP
cord-348010-m3a3utvz	330	6	1	1	CD
cord-348010-m3a3utvz	330	7	for	for	IN
cord-348010-m3a3utvz	330	8	the	the	DT
cord-348010-m3a3utvz	330	9	begin	begin	NN
cord-348010-m3a3utvz	330	10	can	can	MD
cord-348010-m3a3utvz	330	11	be	be	VB
cord-348010-m3a3utvz	330	12	applied	apply	VBN
cord-348010-m3a3utvz	330	13	to	to	IN
cord-348010-m3a3utvz	330	14	linearise	linearise	NN
cord-348010-m3a3utvz	330	15	the	the	DT
cord-348010-m3a3utvz	330	16	equation	equation	NN
cord-348010-m3a3utvz	330	17	(	(	-LRB-
cord-348010-m3a3utvz	330	18	2.7	2.7	CD
cord-348010-m3a3utvz	330	19	)	)	-RRB-
cord-348010-m3a3utvz	330	20	as	as	RB
cord-348010-m3a3utvz	330	21	well	well	RB
cord-348010-m3a3utvz	330	22	as	as	IN
cord-348010-m3a3utvz	330	23	the	the	DT
cord-348010-m3a3utvz	330	24	equations	equation	NNS
cord-348010-m3a3utvz	330	25	(	(	-LRB-
cord-348010-m3a3utvz	330	26	2.8	2.8	CD
cord-348010-m3a3utvz	330	27	)	)	-RRB-
cord-348010-m3a3utvz	330	28	and	and	CC
cord-348010-m3a3utvz	330	29	(	(	-LRB-
cord-348010-m3a3utvz	330	30	2.43	2.43	CD
cord-348010-m3a3utvz	330	31	)	)	-RRB-
cord-348010-m3a3utvz	330	32	,	,	,
cord-348010-m3a3utvz	330	33	(	(	-LRB-
cord-348010-m3a3utvz	330	34	2.44	2.44	CD
cord-348010-m3a3utvz	330	35	)	)	-RRB-
cord-348010-m3a3utvz	330	36	below	below	RB
cord-348010-m3a3utvz	330	37	.	.	.
cord-348010-m3a3utvz	331	1	Based	base	VBN
cord-348010-m3a3utvz	331	2	on	on	IN
cord-348010-m3a3utvz	331	3	this	this	DT
cord-348010-m3a3utvz	331	4	,	,	,
cord-348010-m3a3utvz	331	5	qualitative	qualitative	JJ
cord-348010-m3a3utvz	331	6	investigations	investigation	NNS
cord-348010-m3a3utvz	331	7	can	can	MD
cord-348010-m3a3utvz	331	8	be	be	VB
cord-348010-m3a3utvz	331	9	performed	perform	VBN
cord-348010-m3a3utvz	331	10	,	,	,
cord-348010-m3a3utvz	331	11	see	see	VB
cord-348010-m3a3utvz	331	12	[	[	-LRB-
cord-348010-m3a3utvz	331	13	27	27	CD
cord-348010-m3a3utvz	331	14	]	]	-RRB-
cord-348010-m3a3utvz	331	15	and	and	CC
cord-348010-m3a3utvz	331	16	the	the	DT
cord-348010-m3a3utvz	331	17	references	reference	NNS
cord-348010-m3a3utvz	331	18	therein	therein	RB
cord-348010-m3a3utvz	331	19	.	.	.
cord-348010-m3a3utvz	332	1	We	-PRON-	PRP
cord-348010-m3a3utvz	332	2	note	note	VBP
cord-348010-m3a3utvz	332	3	that	that	IN
cord-348010-m3a3utvz	332	4	the	the	DT
cord-348010-m3a3utvz	332	5	contact	contact	NN
cord-348010-m3a3utvz	332	6	coefficient	coefficient	NN
cord-348010-m3a3utvz	332	7	is	be	VBZ
cord-348010-m3a3utvz	332	8	a	a	DT
cord-348010-m3a3utvz	332	9	parameter	parameter	NN
cord-348010-m3a3utvz	332	10	of	of	IN
cord-348010-m3a3utvz	332	11	infection	infection	NN
cord-348010-m3a3utvz	332	12	course	course	NN
cord-348010-m3a3utvz	332	13	being	be	VBG
cord-348010-m3a3utvz	332	14	strongly	strongly	RB
cord-348010-m3a3utvz	332	15	influenced	influence	VBN
cord-348010-m3a3utvz	332	16	from	from	IN
cord-348010-m3a3utvz	332	17	"	"	``
cord-348010-m3a3utvz	332	18	outside	outside	RB
cord-348010-m3a3utvz	332	19	"	"	''
cord-348010-m3a3utvz	332	20	.	.	.
cord-348010-m3a3utvz	333	1	It	-PRON-	PRP
cord-348010-m3a3utvz	333	2	depends	depend	VBZ
cord-348010-m3a3utvz	333	3	on	on	IN
cord-348010-m3a3utvz	333	4	the	the	DT
cord-348010-m3a3utvz	333	5	pathogen	pathogen	NN
cord-348010-m3a3utvz	333	6	's	's	POS
cord-348010-m3a3utvz	333	7	properties	property	NNS
cord-348010-m3a3utvz	333	8	as	as	RB
cord-348010-m3a3utvz	333	9	well	well	RB
cord-348010-m3a3utvz	333	10	as	as	IN
cord-348010-m3a3utvz	333	11	on	on	IN
cord-348010-m3a3utvz	333	12	social	social	JJ
cord-348010-m3a3utvz	333	13	behaviour	behaviour	NN
cord-348010-m3a3utvz	333	14	,	,	,
cord-348010-m3a3utvz	333	15	namely	namely	RB
cord-348010-m3a3utvz	333	16	on	on	IN
cord-348010-m3a3utvz	333	17	contact	contact	NN
cord-348010-m3a3utvz	333	18	manner	manner	NN
cord-348010-m3a3utvz	333	19	within	within	IN
cord-348010-m3a3utvz	333	20	a	a	DT
cord-348010-m3a3utvz	333	21	considered	consider	VBN
cord-348010-m3a3utvz	333	22	population	population	NN
cord-348010-m3a3utvz	333	23	.	.	.
cord-348010-m3a3utvz	334	1	can	can	MD
cord-348010-m3a3utvz	334	2	be	be	VB
cord-348010-m3a3utvz	334	3	considerably	considerably	RB
cord-348010-m3a3utvz	334	4	reduced	reduce	VBN
cord-348010-m3a3utvz	334	5	,	,	,
cord-348010-m3a3utvz	334	6	voluntarily	voluntarily	RB
cord-348010-m3a3utvz	334	7	and	and	CC
cord-348010-m3a3utvz	334	8	by	by	IN
cord-348010-m3a3utvz	334	9	means	mean	NNS
cord-348010-m3a3utvz	334	10	of	of	IN
cord-348010-m3a3utvz	334	11	administrative	administrative	JJ
cord-348010-m3a3utvz	334	12	measures	measure	NNS
cord-348010-m3a3utvz	334	13	.	.	.
cord-348010-m3a3utvz	335	1	During	during	IN
cord-348010-m3a3utvz	335	2	the	the	DT
cord-348010-m3a3utvz	335	3	COVID-19	COVID-19	NNP
cord-348010-m3a3utvz	335	4	pandemic	pandemic	JJ
cord-348010-m3a3utvz	335	5	political	political	JJ
cord-348010-m3a3utvz	335	6	authorities	authority	NNS
cord-348010-m3a3utvz	335	7	in	in	IN
cord-348010-m3a3utvz	335	8	many	many	JJ
cord-348010-m3a3utvz	335	9	countries	country	NNS
cord-348010-m3a3utvz	335	10	have	have	VBP
cord-348010-m3a3utvz	335	11	ordered	order	VBN
cord-348010-m3a3utvz	335	12	strong	strong	JJ
cord-348010-m3a3utvz	335	13	rules	rule	NNS
cord-348010-m3a3utvz	335	14	concerning	concern	VBG
cord-348010-m3a3utvz	335	15	limitations	limitation	NNS
cord-348010-m3a3utvz	335	16	of	of	IN
cord-348010-m3a3utvz	335	17	contacts	contact	NNS
cord-348010-m3a3utvz	335	18	,	,	,
cord-348010-m3a3utvz	335	19	distances	distance	NNS
cord-348010-m3a3utvz	335	20	to	to	IN
cord-348010-m3a3utvz	335	21	foreign	foreign	JJ
cord-348010-m3a3utvz	335	22	persons	person	NNS
cord-348010-m3a3utvz	335	23	,	,	,
cord-348010-m3a3utvz	335	24	closings	closing	NNS
cord-348010-m3a3utvz	335	25	of	of	IN
cord-348010-m3a3utvz	335	26	schools	school	NNS
cord-348010-m3a3utvz	335	27	and	and	CC
cord-348010-m3a3utvz	335	28	universities	university	NNS
cord-348010-m3a3utvz	335	29	,	,	,
cord-348010-m3a3utvz	335	30	churches	church	NNS
cord-348010-m3a3utvz	335	31	,	,	,
cord-348010-m3a3utvz	335	32	restaurants	restaurant	NNS
cord-348010-m3a3utvz	335	33	etc	etc	FW
cord-348010-m3a3utvz	335	34	.	.	.
cord-348010-m3a3utvz	336	1	As	as	IN
cord-348010-m3a3utvz	336	2	a	a	DT
cord-348010-m3a3utvz	336	3	result	result	NN
cord-348010-m3a3utvz	336	4	one	one	CD
cord-348010-m3a3utvz	336	5	observes	observe	VBZ
cord-348010-m3a3utvz	336	6	a	a	DT
cord-348010-m3a3utvz	336	7	decreasing	decreasing	NN
cord-348010-m3a3utvz	336	8	and	and	CC
cord-348010-m3a3utvz	336	9	an	an	DT
cord-348010-m3a3utvz	336	10	end	end	NN
cord-348010-m3a3utvz	336	11	of	of	IN
cord-348010-m3a3utvz	336	12	exponential	exponential	JJ
cord-348010-m3a3utvz	336	13	growth	growth	NN
cord-348010-m3a3utvz	336	14	of	of	IN
cord-348010-m3a3utvz	336	15	accumulated	accumulate	VBN
cord-348010-m3a3utvz	336	16	cases	case	NNS
cord-348010-m3a3utvz	336	17	in	in	IN
cord-348010-m3a3utvz	336	18	some	some	DT
cord-348010-m3a3utvz	336	19	countries	country	NNS
cord-348010-m3a3utvz	336	20	,	,	,
cord-348010-m3a3utvz	336	21	for	for	IN
cord-348010-m3a3utvz	336	22	instance	instance	NN
cord-348010-m3a3utvz	336	23	in	in	IN
cord-348010-m3a3utvz	336	24	Germany	Germany	NNP
cord-348010-m3a3utvz	336	25	.	.	.
cord-348010-m3a3utvz	337	1	However	however	RB
cord-348010-m3a3utvz	337	2	,	,	,
cord-348010-m3a3utvz	337	3	an	an	DT
cord-348010-m3a3utvz	337	4	easing	easing	NN
cord-348010-m3a3utvz	337	5	of	of	IN
cord-348010-m3a3utvz	337	6	mandated	mandate	VBN
cord-348010-m3a3utvz	337	7	measures	measure	NNS
cord-348010-m3a3utvz	337	8	and	and	CC
cord-348010-m3a3utvz	337	9	more	more	JJR
cord-348010-m3a3utvz	337	10	carelessness	carelessness	NN
cord-348010-m3a3utvz	337	11	may	may	MD
cord-348010-m3a3utvz	337	12	lead	lead	VB
cord-348010-m3a3utvz	337	13	to	to	IN
cord-348010-m3a3utvz	337	14	an	an	DT
cord-348010-m3a3utvz	337	15	increasing	increase	VBG
cord-348010-m3a3utvz	337	16	and	and	CC
cord-348010-m3a3utvz	337	17	to	to	TO
cord-348010-m3a3utvz	337	18	essentially	essentially	RB
cord-348010-m3a3utvz	337	19	more	more	JJR
cord-348010-m3a3utvz	337	20	cases	case	NNS
cord-348010-m3a3utvz	337	21	,	,	,
cord-348010-m3a3utvz	337	22	like	like	IN
cord-348010-m3a3utvz	337	23	in	in	IN
cord-348010-m3a3utvz	337	24	Israel	Israel	NNP
cord-348010-m3a3utvz	337	25	or	or	CC
cord-348010-m3a3utvz	337	26	Australia	Australia	NNP
cord-348010-m3a3utvz	337	27	in	in	IN
cord-348010-m3a3utvz	337	28	July	July	NNP
cord-348010-m3a3utvz	337	29	,	,	,
cord-348010-m3a3utvz	337	30	and	and	CC
cord-348010-m3a3utvz	337	31	now	now	RB
cord-348010-m3a3utvz	337	32	,	,	,
cord-348010-m3a3utvz	337	33	in	in	IN
cord-348010-m3a3utvz	337	34	August	August	NNP
cord-348010-m3a3utvz	337	35	2020	2020	CD
cord-348010-m3a3utvz	337	36	in	in	IN
cord-348010-m3a3utvz	337	37	some	some	DT
cord-348010-m3a3utvz	337	38	European	european	JJ
cord-348010-m3a3utvz	337	39	countries	country	NNS
cord-348010-m3a3utvz	337	40	.	.	.
cord-348010-m3a3utvz	338	1	The	the	DT
cord-348010-m3a3utvz	338	2	equation	equation	NN
cord-348010-m3a3utvz	338	3	(	(	-LRB-
cord-348010-m3a3utvz	338	4	2.7	2.7	CD
cord-348010-m3a3utvz	338	5	)	)	-RRB-
cord-348010-m3a3utvz	338	6	describes	describe	VBZ
cord-348010-m3a3utvz	338	7	the	the	DT
cord-348010-m3a3utvz	338	8	special	special	JJ
cord-348010-m3a3utvz	338	9	situation	situation	NN
cord-348010-m3a3utvz	338	10	that	that	WDT
cord-348010-m3a3utvz	338	11	all	all	DT
cord-348010-m3a3utvz	338	12	susceptible	susceptible	JJ
cord-348010-m3a3utvz	338	13	individuals	individual	NNS
cord-348010-m3a3utvz	338	14	will	will	MD
cord-348010-m3a3utvz	338	15	be	be	VB
cord-348010-m3a3utvz	338	16	infected	infect	VBN
cord-348010-m3a3utvz	338	17	in	in	IN
cord-348010-m3a3utvz	338	18	the	the	DT
cord-348010-m3a3utvz	338	19	course	course	NN
cord-348010-m3a3utvz	338	20	of	of	IN
cord-348010-m3a3utvz	338	21	time	time	NN
cord-348010-m3a3utvz	338	22	,	,	,
cord-348010-m3a3utvz	338	23	and	and	CC
cord-348010-m3a3utvz	338	24	they	-PRON-	PRP
cord-348010-m3a3utvz	338	25	will	will	MD
cord-348010-m3a3utvz	338	26	remain	remain	VB
cord-348010-m3a3utvz	338	27	infectious	infectious	JJ
cord-348010-m3a3utvz	338	28	(	(	-LRB-
cord-348010-m3a3utvz	338	29	see	see	VB
cord-348010-m3a3utvz	338	30	(	(	-LRB-
cord-348010-m3a3utvz	338	31	2.11	2.11	CD
cord-348010-m3a3utvz	338	32	)	)	-RRB-
cord-348010-m3a3utvz	338	33	)	)	-RRB-
cord-348010-m3a3utvz	338	34	.	.	.
cord-348010-m3a3utvz	339	1	If	if	IN
cord-348010-m3a3utvz	339	2	a	a	DT
cord-348010-m3a3utvz	339	3	convalescence	convalescence	NN
cord-348010-m3a3utvz	339	4	has	have	VBZ
cord-348010-m3a3utvz	339	5	to	to	TO
cord-348010-m3a3utvz	339	6	be	be	VB
cord-348010-m3a3utvz	339	7	taken	take	VBN
cord-348010-m3a3utvz	339	8	into	into	IN
cord-348010-m3a3utvz	339	9	account	account	NN
cord-348010-m3a3utvz	339	10	,	,	,
cord-348010-m3a3utvz	339	11	than	than	IN
cord-348010-m3a3utvz	339	12	this	this	DT
cord-348010-m3a3utvz	339	13	equation	equation	NN
cord-348010-m3a3utvz	339	14	has	have	VBZ
cord-348010-m3a3utvz	339	15	to	to	TO
cord-348010-m3a3utvz	339	16	be	be	VB
cord-348010-m3a3utvz	339	17	changed	change	VBN
cord-348010-m3a3utvz	339	18	bẏ	bẏ	NNP
cord-348010-m3a3utvz	339	19	(	(	-LRB-
cord-348010-m3a3utvz	339	20	That	that	DT
cord-348010-m3a3utvz	339	21	means	mean	VBZ
cord-348010-m3a3utvz	339	22	,	,	,
cord-348010-m3a3utvz	339	23	in	in	IN
cord-348010-m3a3utvz	339	24	a	a	DT
cord-348010-m3a3utvz	339	25	time	time	NN
cord-348010-m3a3utvz	339	26	unit	unit	NN
cord-348010-m3a3utvz	339	27	the	the	DT
cord-348010-m3a3utvz	339	28	class	class	NN
cord-348010-m3a3utvz	339	29	loses	lose	VBZ
cord-348010-m3a3utvz	340	1	(	(	-LRB-
cord-348010-m3a3utvz	340	2	)	)	-RRB-
cord-348010-m3a3utvz	340	3	individuals	individual	NNS
cord-348010-m3a3utvz	340	4	due	due	JJ
cord-348010-m3a3utvz	340	5	to	to	IN
cord-348010-m3a3utvz	340	6	recovery	recovery	NN
cord-348010-m3a3utvz	340	7	(	(	-LRB-
cord-348010-m3a3utvz	340	8	and	and	CC
cord-348010-m3a3utvz	340	9	loss	loss	NN
cord-348010-m3a3utvz	340	10	of	of	IN
cord-348010-m3a3utvz	340	11	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	340	12	)	)	-RRB-
cord-348010-m3a3utvz	340	13	.	.	.
cord-348010-m3a3utvz	341	1	The	the	DT
cord-348010-m3a3utvz	341	2	coefficient	coefficient	NN
cord-348010-m3a3utvz	341	3	>	>	XX
cord-348010-m3a3utvz	341	4	0	0	NFP
cord-348010-m3a3utvz	341	5	is	be	VBZ
cord-348010-m3a3utvz	341	6	the	the	DT
cord-348010-m3a3utvz	341	7	reciprocal	reciprocal	JJ
cord-348010-m3a3utvz	341	8	value	value	NN
cord-348010-m3a3utvz	341	9	of	of	IN
cord-348010-m3a3utvz	341	10	the	the	DT
cord-348010-m3a3utvz	341	11	mean	mean	JJ
cord-348010-m3a3utvz	341	12	infection	infection	NN
cord-348010-m3a3utvz	341	13	duration	duration	NN
cord-348010-m3a3utvz	341	14	,	,	,
cord-348010-m3a3utvz	341	15	i.e.	i.e.	FW
cord-348010-m3a3utvz	341	16	,	,	,
cord-348010-m3a3utvz	341	17	=	=	SYM
cord-348010-m3a3utvz	341	18	1	1	CD
cord-348010-m3a3utvz	341	19	∕	∕	CD
cord-348010-m3a3utvz	341	20	.	.	.
cord-348010-m3a3utvz	342	1	Since	since	IN
cord-348010-m3a3utvz	342	2	the	the	DT
cord-348010-m3a3utvz	342	3	average	average	JJ
cord-348010-m3a3utvz	342	4	duration	duration	NN
cord-348010-m3a3utvz	342	5	of	of	IN
cord-348010-m3a3utvz	342	6	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	342	7	is	be	VBZ
cord-348010-m3a3utvz	342	8	disease	disease	NN
cord-348010-m3a3utvz	342	9	-	-	HYPH
cord-348010-m3a3utvz	342	10	specific	specific	JJ
cord-348010-m3a3utvz	342	11	,	,	,
cord-348010-m3a3utvz	342	12	an	an	DT
cord-348010-m3a3utvz	342	13	assumed	assume	VBN
cord-348010-m3a3utvz	342	14	constant	constant	NN
cord-348010-m3a3utvz	342	15	(	(	-LRB-
cord-348010-m3a3utvz	342	16	and	and	CC
cord-348010-m3a3utvz	342	17	thus	thus	RB
cord-348010-m3a3utvz	342	18	a	a	DT
cord-348010-m3a3utvz	342	19	constant	constant	NN
cord-348010-m3a3utvz	342	20	)	)	-RRB-
cord-348010-m3a3utvz	342	21	seems	seem	VBZ
cord-348010-m3a3utvz	342	22	to	to	TO
cord-348010-m3a3utvz	342	23	be	be	VB
cord-348010-m3a3utvz	342	24	plausible	plausible	JJ
cord-348010-m3a3utvz	342	25	.	.	.
cord-348010-m3a3utvz	343	1	The	the	DT
cord-348010-m3a3utvz	343	2	value	value	NN
cord-348010-m3a3utvz	343	3	exp(−	exp(−	NNS
cord-348010-m3a3utvz	343	4	)	)	-RRB-
cord-348010-m3a3utvz	343	5	can	can	MD
cord-348010-m3a3utvz	343	6	be	be	VB
cord-348010-m3a3utvz	343	7	interpreted	interpret	VBN
cord-348010-m3a3utvz	343	8	as	as	IN
cord-348010-m3a3utvz	343	9	the	the	DT
cord-348010-m3a3utvz	343	10	probability	probability	NN
cord-348010-m3a3utvz	343	11	that	that	IN
cord-348010-m3a3utvz	343	12	an	an	DT
cord-348010-m3a3utvz	343	13	infected	infected	JJ
cord-348010-m3a3utvz	343	14	person	person	NN
cord-348010-m3a3utvz	343	15	is	be	VBZ
cord-348010-m3a3utvz	343	16	still	still	RB
cord-348010-m3a3utvz	343	17	infectious	infectious	JJ
cord-348010-m3a3utvz	343	18	at	at	IN
cord-348010-m3a3utvz	343	19	time	time	NN
cord-348010-m3a3utvz	343	20	(	(	-LRB-
cord-348010-m3a3utvz	343	21	see	see	VB
cord-348010-m3a3utvz	343	22	Remark	Remark	NNP
cord-348010-m3a3utvz	343	23	2.4	2.4	CD
cord-348010-m3a3utvz	343	24	(	(	-LRB-
cord-348010-m3a3utvz	343	25	ii	ii	NN
cord-348010-m3a3utvz	343	26	)	)	-RRB-
cord-348010-m3a3utvz	343	27	and	and	CC
cord-348010-m3a3utvz	343	28	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	343	29	2.2.3	2.2.3	CD
cord-348010-m3a3utvz	343	30	)	)	-RRB-
cord-348010-m3a3utvz	343	31	.	.	.
cord-348010-m3a3utvz	344	1	And	and	CC
cord-348010-m3a3utvz	344	2	,	,	,
cord-348010-m3a3utvz	344	3	otherwise	otherwise	RB
cord-348010-m3a3utvz	344	4	,	,	,
cord-348010-m3a3utvz	344	5	1	1	CD
cord-348010-m3a3utvz	344	6	−	−	CD
cord-348010-m3a3utvz	344	7	exp(−	exp(−	NNS
cord-348010-m3a3utvz	344	8	)	)	-RRB-
cord-348010-m3a3utvz	344	9	is	be	VBZ
cord-348010-m3a3utvz	344	10	the	the	DT
cord-348010-m3a3utvz	344	11	probability	probability	NN
cord-348010-m3a3utvz	344	12	that	that	IN
cord-348010-m3a3utvz	344	13	an	an	DT
cord-348010-m3a3utvz	344	14	infected	infected	JJ
cord-348010-m3a3utvz	344	15	loses	lose	VBZ
cord-348010-m3a3utvz	344	16	its	-PRON-	PRP$
cord-348010-m3a3utvz	344	17	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	344	18	at	at	IN
cord-348010-m3a3utvz	344	19	time	time	NN
cord-348010-m3a3utvz	344	20	.	.	.
cord-348010-m3a3utvz	345	1	If	if	IN
cord-348010-m3a3utvz	345	2	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	345	3	and	and	CC
cord-348010-m3a3utvz	345	4	disease	disease	NN
cord-348010-m3a3utvz	345	5	have	have	VBP
cord-348010-m3a3utvz	345	6	very	very	RB
cord-348010-m3a3utvz	345	7	different	different	JJ
cord-348010-m3a3utvz	345	8	mean	mean	JJ
cord-348010-m3a3utvz	345	9	durations	duration	NNS
cord-348010-m3a3utvz	345	10	,	,	,
cord-348010-m3a3utvz	345	11	the	the	DT
cord-348010-m3a3utvz	345	12	model	model	NN
cord-348010-m3a3utvz	345	13	could	could	MD
cord-348010-m3a3utvz	345	14	be	be	VB
cord-348010-m3a3utvz	345	15	extended	extend	VBN
cord-348010-m3a3utvz	345	16	.	.	.
cord-348010-m3a3utvz	346	1	If	if	IN
cord-348010-m3a3utvz	346	2	the	the	DT
cord-348010-m3a3utvz	346	3	models	model	NNS
cord-348010-m3a3utvz	346	4	are	be	VBP
cord-348010-m3a3utvz	346	5	more	more	RBR
cord-348010-m3a3utvz	346	6	complex	complex	JJ
cord-348010-m3a3utvz	346	7	,	,	,
cord-348010-m3a3utvz	346	8	in	in	IN
cord-348010-m3a3utvz	346	9	(	(	-LRB-
cord-348010-m3a3utvz	346	10	2.7	2.7	CD
cord-348010-m3a3utvz	346	11	)	)	-RRB-
cord-348010-m3a3utvz	346	12	and	and	CC
cord-348010-m3a3utvz	346	13	(	(	-LRB-
cord-348010-m3a3utvz	346	14	2.8	2.8	CD
cord-348010-m3a3utvz	346	15	)	)	-RRB-
cord-348010-m3a3utvz	346	16	,	,	,
cord-348010-m3a3utvz	346	17	respectively	respectively	RB
cord-348010-m3a3utvz	346	18	,	,	,
cord-348010-m3a3utvz	346	19	one	one	PRP
cord-348010-m3a3utvz	346	20	has	have	VBZ
cord-348010-m3a3utvz	346	21	to	to	TO
cord-348010-m3a3utvz	346	22	divide	divide	VB
cord-348010-m3a3utvz	346	23	by	by	IN
cord-348010-m3a3utvz	346	24	−	−	NNP
cord-348010-m3a3utvz	346	25	instead	instead	RB
cord-348010-m3a3utvz	346	26	of	of	IN
cord-348010-m3a3utvz	346	27	,	,	,
cord-348010-m3a3utvz	346	28	where	where	WRB
cord-348010-m3a3utvz	346	29	is	be	VBZ
cord-348010-m3a3utvz	346	30	the	the	DT
cord-348010-m3a3utvz	346	31	number	number	NN
cord-348010-m3a3utvz	346	32	of	of	IN
cord-348010-m3a3utvz	346	33	persons	person	NNS
cord-348010-m3a3utvz	346	34	died	die	VBN
cord-348010-m3a3utvz	346	35	by	by	IN
cord-348010-m3a3utvz	346	36	infection	infection	NN
cord-348010-m3a3utvz	346	37	,	,	,
cord-348010-m3a3utvz	346	38	see	see	VB
cord-348010-m3a3utvz	346	39	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	346	40	2.3.2	2.3.2	CD
cord-348010-m3a3utvz	346	41	.	.	.
cord-348010-m3a3utvz	347	1	In	in	IN
cord-348010-m3a3utvz	347	2	accordance	accordance	NN
cord-348010-m3a3utvz	347	3	with	with	IN
cord-348010-m3a3utvz	347	4	our	-PRON-	PRP$
cord-348010-m3a3utvz	347	5	assumption	assumption	NN
cord-348010-m3a3utvz	347	6	at	at	IN
cord-348010-m3a3utvz	347	7	the	the	DT
cord-348010-m3a3utvz	347	8	beginning	beginning	NN
cord-348010-m3a3utvz	347	9	of	of	IN
cord-348010-m3a3utvz	347	10	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	347	11	2.2.1	2.2.1	CD
cord-348010-m3a3utvz	348	1	there	there	EX
cord-348010-m3a3utvz	348	2	holds	hold	VBZ
cord-348010-m3a3utvz	348	3	Contrary	contrary	JJ
cord-348010-m3a3utvz	348	4	to	to	IN
cord-348010-m3a3utvz	348	5	(	(	-LRB-
cord-348010-m3a3utvz	348	6	2.7	2.7	CD
cord-348010-m3a3utvz	348	7	)	)	-RRB-
cord-348010-m3a3utvz	348	8	,	,	,
cord-348010-m3a3utvz	348	9	in	in	IN
cord-348010-m3a3utvz	348	10	the	the	DT
cord-348010-m3a3utvz	348	11	case	case	NN
cord-348010-m3a3utvz	348	12	of	of	IN
cord-348010-m3a3utvz	348	13	equation	equation	NN
cord-348010-m3a3utvz	348	14	(	(	-LRB-
cord-348010-m3a3utvz	348	15	2.8	2.8	CD
cord-348010-m3a3utvz	348	16	)	)	-RRB-
cord-348010-m3a3utvz	348	17	,	,	,
cord-348010-m3a3utvz	348	18	due	due	IN
cord-348010-m3a3utvz	348	19	to	to	IN
cord-348010-m3a3utvz	348	20	the	the	DT
cord-348010-m3a3utvz	348	21	"	"	``
cord-348010-m3a3utvz	348	22	outflow	outflow	NN
cord-348010-m3a3utvz	348	23	"	"	''
cord-348010-m3a3utvz	348	24	(	(	-LRB-
cord-348010-m3a3utvz	348	25	)	)	-RRB-
cord-348010-m3a3utvz	349	1	the	the	DT
cord-348010-m3a3utvz	349	2	evolution	evolution	NN
cord-348010-m3a3utvz	349	3	of	of	IN
cord-348010-m3a3utvz	349	4	and	and	CC
cord-348010-m3a3utvz	349	5	is	be	VBZ
cord-348010-m3a3utvz	349	6	more	more	RBR
cord-348010-m3a3utvz	349	7	complex	complex	JJ
cord-348010-m3a3utvz	349	8	.	.	.
cord-348010-m3a3utvz	350	1	There	there	EX
cord-348010-m3a3utvz	350	2	will	will	MD
cord-348010-m3a3utvz	350	3	be	be	VB
cord-348010-m3a3utvz	350	4	an	an	DT
cord-348010-m3a3utvz	350	5	equilibrium	equilibrium	NN
cord-348010-m3a3utvz	350	6	,	,	,
cord-348010-m3a3utvz	350	7	see	see	VB
cord-348010-m3a3utvz	350	8	the	the	DT
cord-348010-m3a3utvz	350	9	second	second	JJ
cord-348010-m3a3utvz	350	10	case	case	NN
cord-348010-m3a3utvz	350	11	in	in	IN
cord-348010-m3a3utvz	350	12	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	350	13	2.2.1	2.2.1	CD
cord-348010-m3a3utvz	350	14	.	.	.
cord-348010-m3a3utvz	351	1	Since	since	IN
cord-348010-m3a3utvz	351	2	the	the	DT
cord-348010-m3a3utvz	351	3	fractions	fraction	NNS
cord-348010-m3a3utvz	351	4	and	and	CC
cord-348010-m3a3utvz	351	5	lie	lie	VB
cord-348010-m3a3utvz	351	6	between	between	IN
cord-348010-m3a3utvz	351	7	zero	zero	CD
cord-348010-m3a3utvz	351	8	and	and	CC
cord-348010-m3a3utvz	351	9	one	one	CD
cord-348010-m3a3utvz	351	10	,	,	,
cord-348010-m3a3utvz	351	11	they	-PRON-	PRP
cord-348010-m3a3utvz	351	12	can	can	MD
cord-348010-m3a3utvz	351	13	be	be	VB
cord-348010-m3a3utvz	351	14	also	also	RB
cord-348010-m3a3utvz	351	15	interpreted	interpret	VBN
cord-348010-m3a3utvz	351	16	as	as	IN
cord-348010-m3a3utvz	351	17	probabilities	probability	NNS
cord-348010-m3a3utvz	351	18	to	to	TO
cord-348010-m3a3utvz	351	19	meet	meet	VB
cord-348010-m3a3utvz	351	20	a	a	DT
cord-348010-m3a3utvz	351	21	susceptible	susceptible	JJ
cord-348010-m3a3utvz	351	22	and	and	CC
cord-348010-m3a3utvz	351	23	an	an	DT
cord-348010-m3a3utvz	351	24	infectious	infectious	JJ
cord-348010-m3a3utvz	351	25	person	person	NN
cord-348010-m3a3utvz	351	26	,	,	,
cord-348010-m3a3utvz	351	27	respectively	respectively	RB
cord-348010-m3a3utvz	351	28	,	,	,
cord-348010-m3a3utvz	351	29	see	see	VB
cord-348010-m3a3utvz	351	30	[	[	-LRB-
cord-348010-m3a3utvz	351	31	16	16	CD
cord-348010-m3a3utvz	351	32	]	]	-RRB-
cord-348010-m3a3utvz	352	1	e.g.	e.g.	RB
cord-348010-m3a3utvz	352	2	We	-PRON-	PRP
cord-348010-m3a3utvz	352	3	return	return	VBP
cord-348010-m3a3utvz	352	4	to	to	IN
cord-348010-m3a3utvz	352	5	fractions	fraction	NNS
cord-348010-m3a3utvz	352	6	in	in	IN
cord-348010-m3a3utvz	352	7	connection	connection	NN
cord-348010-m3a3utvz	352	8	with	with	IN
cord-348010-m3a3utvz	352	9	dimensional	dimensional	JJ
cord-348010-m3a3utvz	352	10	analyse	analyse	NN
cord-348010-m3a3utvz	352	11	in	in	IN
cord-348010-m3a3utvz	352	12	paragraphs	paragraph	NNS
cord-348010-m3a3utvz	352	13	4.1	4.1	CD
cord-348010-m3a3utvz	352	14	and	and	CC
cord-348010-m3a3utvz	352	15	4.3.1	4.3.1	CD
cord-348010-m3a3utvz	352	16	.	.	.
cord-348010-m3a3utvz	353	1	Relation	relation	NN
cord-348010-m3a3utvz	353	2	to	to	IN
cord-348010-m3a3utvz	353	3	the	the	DT
cord-348010-m3a3utvz	353	4	logistic	logistic	JJ
cord-348010-m3a3utvz	353	5	equation	equation	NN
cord-348010-m3a3utvz	353	6	.	.	.
cord-348010-m3a3utvz	354	1	(	(	-LRB-
cord-348010-m3a3utvz	354	2	SI	SI	NNP
cord-348010-m3a3utvz	354	3	model	model	NN
cord-348010-m3a3utvz	354	4	)	)	-RRB-
cord-348010-m3a3utvz	355	1	Substituting	substitute	VBG
cord-348010-m3a3utvz	355	2	by	by	IN
cord-348010-m3a3utvz	355	3	−	−	CD
cord-348010-m3a3utvz	355	4	in	in	IN
cord-348010-m3a3utvz	355	5	(	(	-LRB-
cord-348010-m3a3utvz	355	6	2.7	2.7	CD
cord-348010-m3a3utvz	355	7	)	)	-RRB-
cord-348010-m3a3utvz	355	8	,	,	,
cord-348010-m3a3utvz	355	9	one	one	CD
cord-348010-m3a3utvz	355	10	getṡ	getṡ	NNS
cord-348010-m3a3utvz	355	11	For	for	IN
cord-348010-m3a3utvz	355	12	constant	constant	JJ
cord-348010-m3a3utvz	356	1	and	and	CC
cord-348010-m3a3utvz	356	2	,	,	,
cord-348010-m3a3utvz	356	3	this	this	DT
cord-348010-m3a3utvz	356	4	is	be	VBZ
cord-348010-m3a3utvz	356	5	the	the	DT
cord-348010-m3a3utvz	356	6	(	(	-LRB-
cord-348010-m3a3utvz	356	7	classical	classical	JJ
cord-348010-m3a3utvz	356	8	)	)	-RRB-
cord-348010-m3a3utvz	356	9	logistic	logistic	JJ
cord-348010-m3a3utvz	356	10	differential	differential	NN
cord-348010-m3a3utvz	356	11	equation	equation	NN
cord-348010-m3a3utvz	356	12	.	.	.
cord-348010-m3a3utvz	357	1	For	for	IN
cord-348010-m3a3utvz	357	2	an	an	DT
cord-348010-m3a3utvz	357	3	initial	initial	JJ
cord-348010-m3a3utvz	357	4	value	value	NN
cord-348010-m3a3utvz	357	5	0	0	NFP
cord-348010-m3a3utvz	357	6	<	<	XX
cord-348010-m3a3utvz	357	7	0	0	NFP
cord-348010-m3a3utvz	357	8	<	<	XX
cord-348010-m3a3utvz	357	9	,	,	,
cord-348010-m3a3utvz	357	10	=	=	NFP
cord-348010-m3a3utvz	357	11	.	.	.
cord-348010-m3a3utvz	357	12	>	>	XX
cord-348010-m3a3utvz	357	13	0	0	CD
cord-348010-m3a3utvz	357	14	,	,	,
cord-348010-m3a3utvz	357	15	continuous	continuous	JJ
cord-348010-m3a3utvz	357	16	with	with	IN
cord-348010-m3a3utvz	357	17	(	(	-LRB-
cord-348010-m3a3utvz	357	18	)	)	-RRB-
cord-348010-m3a3utvz	357	19	≥	≥	SYM
cord-348010-m3a3utvz	357	20	0	0	NFP
cord-348010-m3a3utvz	357	21	the	the	DT
cord-348010-m3a3utvz	357	22	unique	unique	JJ
cord-348010-m3a3utvz	357	23	solution	solution	NN
cord-348010-m3a3utvz	357	24	to	to	IN
cord-348010-m3a3utvz	357	25	(	(	-LRB-
cord-348010-m3a3utvz	357	26	2.11	2.11	CD
cord-348010-m3a3utvz	357	27	)	)	-RRB-
cord-348010-m3a3utvz	357	28	is	be	VBZ
cord-348010-m3a3utvz	357	29	given	give	VBN
cord-348010-m3a3utvz	357	30	by	by	IN
cord-348010-m3a3utvz	357	31	.	.	.
cord-348010-m3a3utvz	358	1	(	(	-LRB-
cord-348010-m3a3utvz	358	2	2.12	2.12	CD
cord-348010-m3a3utvz	358	3	)	)	-RRB-
cord-348010-m3a3utvz	359	1	For	for	IN
cord-348010-m3a3utvz	359	2	with	with	IN
cord-348010-m3a3utvz	359	3	the	the	DT
cord-348010-m3a3utvz	359	4	solution	solution	NN
cord-348010-m3a3utvz	359	5	grows	grow	VBZ
cord-348010-m3a3utvz	359	6	asymptotically	asymptotically	RB
cord-348010-m3a3utvz	359	7	to	to	IN
cord-348010-m3a3utvz	359	8	.	.	.
cord-348010-m3a3utvz	360	1	This	this	DT
cord-348010-m3a3utvz	360	2	case	case	NN
cord-348010-m3a3utvz	360	3	includes	include	VBZ
cord-348010-m3a3utvz	360	4	=	=	NFP
cord-348010-m3a3utvz	360	5	.	.	.
cord-348010-m3a3utvz	361	1	>	>	XX
cord-348010-m3a3utvz	362	1	0	0	NFP
cord-348010-m3a3utvz	362	2	.	.	.
cord-348010-m3a3utvz	363	1	The	the	DT
cord-348010-m3a3utvz	363	2	logistic	logistic	JJ
cord-348010-m3a3utvz	363	3	differential	differential	JJ
cord-348010-m3a3utvz	363	4	equation	equation	NN
cord-348010-m3a3utvz	363	5	is	be	VBZ
cord-348010-m3a3utvz	363	6	discussed	discuss	VBN
cord-348010-m3a3utvz	363	7	in	in	IN
cord-348010-m3a3utvz	363	8	detail	detail	NN
cord-348010-m3a3utvz	363	9	in	in	IN
cord-348010-m3a3utvz	363	10	many	many	JJ
cord-348010-m3a3utvz	363	11	textbooks	textbook	NNS
cord-348010-m3a3utvz	363	12	on	on	IN
cord-348010-m3a3utvz	363	13	ordinary	ordinary	JJ
cord-348010-m3a3utvz	363	14	differential	differential	JJ
cord-348010-m3a3utvz	363	15	equations	equation	NNS
cord-348010-m3a3utvz	363	16	and	and	CC
cord-348010-m3a3utvz	363	17	on	on	IN
cord-348010-m3a3utvz	363	18	biomathematics	biomathematic	NNS
cord-348010-m3a3utvz	363	19	,	,	,
cord-348010-m3a3utvz	363	20	see	see	VB
cord-348010-m3a3utvz	363	21	for	for	IN
cord-348010-m3a3utvz	363	22	instance	instance	NN
cord-348010-m3a3utvz	363	23	[	[	-LRB-
cord-348010-m3a3utvz	363	24	18	18	CD
cord-348010-m3a3utvz	363	25	,	,	,
cord-348010-m3a3utvz	363	26	34	34	CD
cord-348010-m3a3utvz	363	27	,	,	,
cord-348010-m3a3utvz	363	28	35	35	CD
cord-348010-m3a3utvz	363	29	]	]	-RRB-
cord-348010-m3a3utvz	363	30	.	.	.
cord-348010-m3a3utvz	364	1	(	(	-LRB-
cord-348010-m3a3utvz	364	2	SIS	SIS	NNP
cord-348010-m3a3utvz	364	3	model	model	NN
cord-348010-m3a3utvz	364	4	)	)	-RRB-
cord-348010-m3a3utvz	365	1	Substituting	substitute	VBG
cord-348010-m3a3utvz	365	2	by	by	IN
cord-348010-m3a3utvz	365	3	−	−	CD
cord-348010-m3a3utvz	365	4	in	in	IN
cord-348010-m3a3utvz	365	5	(	(	-LRB-
cord-348010-m3a3utvz	365	6	2.8	2.8	CD
cord-348010-m3a3utvz	365	7	)	)	-RRB-
cord-348010-m3a3utvz	365	8	,	,	,
cord-348010-m3a3utvz	365	9	one	one	CD
cord-348010-m3a3utvz	365	10	getṡ	getṡ	NNS
cord-348010-m3a3utvz	365	11	For	for	IN
cord-348010-m3a3utvz	365	12	constant	constant	JJ
cord-348010-m3a3utvz	365	13	,	,	,
cord-348010-m3a3utvz	365	14	and	and	CC
cord-348010-m3a3utvz	365	15	with	with	IN
cord-348010-m3a3utvz	365	16	0	0	NFP
cord-348010-m3a3utvz	365	17	<	<	XX
cord-348010-m3a3utvz	365	18	<	<	XX
cord-348010-m3a3utvz	365	19	and	and	CC
cord-348010-m3a3utvz	366	1	0	0	NFP
cord-348010-m3a3utvz	366	2	<	<	XX
cord-348010-m3a3utvz	366	3	0	0	NFP
cord-348010-m3a3utvz	366	4	<	<	XX
cord-348010-m3a3utvz	366	5	the	the	DT
cord-348010-m3a3utvz	366	6	unique	unique	JJ
cord-348010-m3a3utvz	366	7	solution	solution	NN
cord-348010-m3a3utvz	366	8	to	to	IN
cord-348010-m3a3utvz	366	9	(	(	-LRB-
cord-348010-m3a3utvz	366	10	2.14	2.14	CD
cord-348010-m3a3utvz	366	11	)	)	-RRB-
cord-348010-m3a3utvz	366	12	is	be	VBZ
cord-348010-m3a3utvz	366	13	given	give	VBN
cord-348010-m3a3utvz	366	14	by	by	IN
cord-348010-m3a3utvz	366	15	.	.	.
cord-348010-m3a3utvz	367	1	(	(	-LRB-
cord-348010-m3a3utvz	367	2	2.15	2.15	CD
cord-348010-m3a3utvz	367	3	)	)	-RRB-
cord-348010-m3a3utvz	368	1	Hence	hence	RB
cord-348010-m3a3utvz	368	2	,	,	,
cord-348010-m3a3utvz	368	3	the	the	DT
cord-348010-m3a3utvz	368	4	solution	solution	NN
cord-348010-m3a3utvz	368	5	grows	grow	VBZ
cord-348010-m3a3utvz	368	6	asymptotically	asymptotically	RB
cord-348010-m3a3utvz	368	7	to	to	IN
cord-348010-m3a3utvz	368	8	(	(	-LRB-
cord-348010-m3a3utvz	368	9	1	1	CD
cord-348010-m3a3utvz	368	10	−	−	CD
cord-348010-m3a3utvz	368	11	∕	∕	CD
cord-348010-m3a3utvz	368	12	)	)	-RRB-
cord-348010-m3a3utvz	369	1	<	<	XX
cord-348010-m3a3utvz	369	2	.	.	.
cord-348010-m3a3utvz	370	1	Therefore	therefore	RB
cord-348010-m3a3utvz	370	2	,	,	,
cord-348010-m3a3utvz	370	3	a	a	DT
cord-348010-m3a3utvz	370	4	dynamic	dynamic	JJ
cord-348010-m3a3utvz	370	5	equilibrium	equilibrium	NN
cord-348010-m3a3utvz	370	6	between	between	IN
cord-348010-m3a3utvz	370	7	infected	infected	JJ
cord-348010-m3a3utvz	370	8	and	and	CC
cord-348010-m3a3utvz	370	9	susceptible	susceptible	JJ
cord-348010-m3a3utvz	370	10	persons	person	NNS
cord-348010-m3a3utvz	370	11	will	will	MD
cord-348010-m3a3utvz	370	12	be	be	VB
cord-348010-m3a3utvz	370	13	reached	reach	VBN
cord-348010-m3a3utvz	370	14	after	after	IN
cord-348010-m3a3utvz	370	15	certain	certain	JJ
cord-348010-m3a3utvz	370	16	time	time	NN
cord-348010-m3a3utvz	370	17	.	.	.
cord-348010-m3a3utvz	371	1	In	in	IN
cord-348010-m3a3utvz	371	2	Definition	Definition	NNP
cord-348010-m3a3utvz	371	3	2.1	2.1	CD
cord-348010-m3a3utvz	371	4	(	(	-LRB-
cord-348010-m3a3utvz	371	5	ii)-(iv	ii)-(iv	NN
cord-348010-m3a3utvz	371	6	)	)	-RRB-
cord-348010-m3a3utvz	371	7	,	,	,
cord-348010-m3a3utvz	371	8	contact	contact	NN
cord-348010-m3a3utvz	371	9	and	and	CC
cord-348010-m3a3utvz	371	10	reproduction	reproduction	NN
cord-348010-m3a3utvz	371	11	numbers	number	NNS
cord-348010-m3a3utvz	371	12	are	be	VBP
cord-348010-m3a3utvz	371	13	defined	define	VBN
cord-348010-m3a3utvz	371	14	independently	independently	RB
cord-348010-m3a3utvz	371	15	of	of	IN
cord-348010-m3a3utvz	371	16	concrete	concrete	JJ
cord-348010-m3a3utvz	371	17	infection	infection	NN
cord-348010-m3a3utvz	371	18	models	model	NNS
cord-348010-m3a3utvz	371	19	.	.	.
cord-348010-m3a3utvz	372	1	Generally	generally	RB
cord-348010-m3a3utvz	372	2	,	,	,
cord-348010-m3a3utvz	372	3	these	these	DT
cord-348010-m3a3utvz	372	4	s	s	POS
cord-348010-m3a3utvz	372	5	numbers	number	NNS
cord-348010-m3a3utvz	372	6	play	play	VBP
cord-348010-m3a3utvz	372	7	an	an	DT
cord-348010-m3a3utvz	372	8	important	important	JJ
cord-348010-m3a3utvz	372	9	role	role	NN
cord-348010-m3a3utvz	372	10	in	in	IN
cord-348010-m3a3utvz	372	11	epidemiology	epidemiology	NN
cord-348010-m3a3utvz	372	12	.	.	.
cord-348010-m3a3utvz	373	1	Now	now	RB
cord-348010-m3a3utvz	373	2	,	,	,
cord-348010-m3a3utvz	373	3	it	-PRON-	PRP
cord-348010-m3a3utvz	373	4	is	be	VBZ
cord-348010-m3a3utvz	373	5	the	the	DT
cord-348010-m3a3utvz	373	6	aim	aim	NN
cord-348010-m3a3utvz	373	7	to	to	TO
cord-348010-m3a3utvz	373	8	find	find	VB
cord-348010-m3a3utvz	373	9	out	out	RP
cord-348010-m3a3utvz	373	10	concrete	concrete	JJ
cord-348010-m3a3utvz	373	11	expressions	expression	NNS
cord-348010-m3a3utvz	373	12	for	for	IN
cord-348010-m3a3utvz	373	13	0	0	CD
cord-348010-m3a3utvz	373	14	,	,	,
cord-348010-m3a3utvz	373	15	,	,	,
cord-348010-m3a3utvz	373	16	in	in	IN
cord-348010-m3a3utvz	373	17	the	the	DT
cord-348010-m3a3utvz	373	18	case	case	NN
cord-348010-m3a3utvz	373	19	of	of	IN
cord-348010-m3a3utvz	373	20	models	model	NNS
cord-348010-m3a3utvz	373	21	with	with	IN
cord-348010-m3a3utvz	373	22	equation	equation	NN
cord-348010-m3a3utvz	373	23	(	(	-LRB-
cord-348010-m3a3utvz	373	24	2.8	2.8	CD
cord-348010-m3a3utvz	373	25	)	)	-RRB-
cord-348010-m3a3utvz	373	26	for	for	IN
cord-348010-m3a3utvz	373	27	the	the	DT
cord-348010-m3a3utvz	373	28	infectious	infectious	JJ
cord-348010-m3a3utvz	373	29	infected	infected	JJ
cord-348010-m3a3utvz	373	30	persons	person	NNS
cord-348010-m3a3utvz	373	31	.	.	.
cord-348010-m3a3utvz	374	1	In	in	IN
cord-348010-m3a3utvz	374	2	doing	do	VBG
cord-348010-m3a3utvz	374	3	so	so	RB
cord-348010-m3a3utvz	374	4	,	,	,
cord-348010-m3a3utvz	374	5	there	there	EX
cord-348010-m3a3utvz	374	6	arise	arise	VBP
cord-348010-m3a3utvz	374	7	some	some	DT
cord-348010-m3a3utvz	374	8	modifications	modification	NNS
cord-348010-m3a3utvz	374	9	compared	compare	VBN
cord-348010-m3a3utvz	374	10	with	with	IN
cord-348010-m3a3utvz	374	11	Definition	Definition	NNP
cord-348010-m3a3utvz	374	12	2.1	2.1	CD
cord-348010-m3a3utvz	374	13	.	.	.
cord-348010-m3a3utvz	375	1	At	at	IN
cord-348010-m3a3utvz	375	2	first	first	RB
cord-348010-m3a3utvz	375	3	,	,	,
cord-348010-m3a3utvz	375	4	we	-PRON-	PRP
cord-348010-m3a3utvz	375	5	assume	assume	VBP
cord-348010-m3a3utvz	375	6	a	a	DT
cord-348010-m3a3utvz	375	7	constant	constant	JJ
cord-348010-m3a3utvz	375	8	contact	contact	NN
cord-348010-m3a3utvz	375	9	coefficient	coefficient	NN
cord-348010-m3a3utvz	375	10	.	.	.
cord-348010-m3a3utvz	376	1	As	as	IN
cord-348010-m3a3utvz	376	2	described	describe	VBN
cord-348010-m3a3utvz	376	3	after	after	IN
cord-348010-m3a3utvz	376	4	Equation	equation	NN
cord-348010-m3a3utvz	376	5	As	as	IN
cord-348010-m3a3utvz	376	6	already	already	RB
cord-348010-m3a3utvz	376	7	stated	state	VBN
cord-348010-m3a3utvz	376	8	,	,	,
cord-348010-m3a3utvz	376	9	0	0	NFP
cord-348010-m3a3utvz	376	10	remains	remain	VBZ
cord-348010-m3a3utvz	376	11	constant	constant	JJ
cord-348010-m3a3utvz	376	12	in	in	IN
cord-348010-m3a3utvz	376	13	either	either	DT
cord-348010-m3a3utvz	376	14	case	case	NN
cord-348010-m3a3utvz	376	15	.	.	.
cord-348010-m3a3utvz	377	1	The	the	DT
cord-348010-m3a3utvz	377	2	factor	factor	NN
cord-348010-m3a3utvz	377	3	(	(	-LRB-
cord-348010-m3a3utvz	377	4	)	)	-RRB-
cord-348010-m3a3utvz	377	5	∕	∕	JJ
cord-348010-m3a3utvz	377	6	takes	take	NNS
cord-348010-m3a3utvz	377	7	into	into	IN
cord-348010-m3a3utvz	377	8	account	account	NN
cord-348010-m3a3utvz	377	9	that	that	IN
cord-348010-m3a3utvz	377	10	the	the	DT
cord-348010-m3a3utvz	377	11	replacement	replacement	NN
cord-348010-m3a3utvz	377	12	number	number	NN
cord-348010-m3a3utvz	377	13	counts	count	VBZ
cord-348010-m3a3utvz	377	14	only	only	RB
cord-348010-m3a3utvz	377	15	adequate	adequate	JJ
cord-348010-m3a3utvz	377	16	contacts	contact	NNS
cord-348010-m3a3utvz	377	17	with	with	IN
cord-348010-m3a3utvz	377	18	susceptible	susceptible	JJ
cord-348010-m3a3utvz	377	19	persons	person	NNS
cord-348010-m3a3utvz	377	20	(	(	-LRB-
cord-348010-m3a3utvz	377	21	during	during	IN
cord-348010-m3a3utvz	377	22	its	-PRON-	PRP$
cord-348010-m3a3utvz	377	23	period	period	NN
cord-348010-m3a3utvz	377	24	of	of	IN
cord-348010-m3a3utvz	377	25	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	377	26	)	)	-RRB-
cord-348010-m3a3utvz	377	27	.	.	.
cord-348010-m3a3utvz	378	1	This	this	DT
cord-348010-m3a3utvz	378	2	is	be	VBZ
cord-348010-m3a3utvz	378	3	the	the	DT
cord-348010-m3a3utvz	378	4	difference	difference	NN
cord-348010-m3a3utvz	378	5	to	to	IN
cord-348010-m3a3utvz	378	6	,	,	,
cord-348010-m3a3utvz	378	7	cf	cf	NNP
cord-348010-m3a3utvz	378	8	.	.	.
cord-348010-m3a3utvz	379	1	Definition	Definition	NNP
cord-348010-m3a3utvz	379	2	2.1	2.1	CD
cord-348010-m3a3utvz	379	3	(	(	-LRB-
cord-348010-m3a3utvz	379	4	iii	iii	NN
cord-348010-m3a3utvz	379	5	)	)	-RRB-
cord-348010-m3a3utvz	379	6	,	,	,
cord-348010-m3a3utvz	379	7	(	(	-LRB-
cord-348010-m3a3utvz	379	8	iv	iv	LS
cord-348010-m3a3utvz	379	9	)	)	-RRB-
cord-348010-m3a3utvz	379	10	.	.	.
cord-348010-m3a3utvz	380	1	A	a	DT
cord-348010-m3a3utvz	380	2	detailed	detailed	JJ
cord-348010-m3a3utvz	380	3	inspection	inspection	NN
cord-348010-m3a3utvz	380	4	shows	show	NNS
cord-348010-m3a3utvz	380	5	,	,	,
cord-348010-m3a3utvz	380	6	that	that	IN
cord-348010-m3a3utvz	380	7	some	some	DT
cord-348010-m3a3utvz	380	8	explanation	explanation	NN
cord-348010-m3a3utvz	380	9	needs	need	VBZ
cord-348010-m3a3utvz	380	10	concerning	concern	VBG
cord-348010-m3a3utvz	380	11	and	and	CC
cord-348010-m3a3utvz	380	12	.	.	.
cord-348010-m3a3utvz	381	1	(	(	-LRB-
cord-348010-m3a3utvz	381	2	)	)	-RRB-
cord-348010-m3a3utvz	381	3	and	and	CC
cord-348010-m3a3utvz	381	4	(	(	-LRB-
cord-348010-m3a3utvz	381	5	)	)	-RRB-
cord-348010-m3a3utvz	381	6	are	be	VBP
cord-348010-m3a3utvz	381	7	indeed	indeed	RB
cord-348010-m3a3utvz	381	8	current	current	JJ
cord-348010-m3a3utvz	381	9	contact	contact	NN
cord-348010-m3a3utvz	381	10	and	and	CC
cord-348010-m3a3utvz	381	11	replacement	replacement	NN
cord-348010-m3a3utvz	381	12	number	number	NN
cord-348010-m3a3utvz	381	13	,	,	,
cord-348010-m3a3utvz	381	14	respectively	respectively	RB
cord-348010-m3a3utvz	381	15	.	.	.
cord-348010-m3a3utvz	382	1	They	-PRON-	PRP
cord-348010-m3a3utvz	382	2	explain	explain	VBP
cord-348010-m3a3utvz	382	3	the	the	DT
cord-348010-m3a3utvz	382	4	average	average	JJ
cord-348010-m3a3utvz	382	5	number	number	NN
cord-348010-m3a3utvz	382	6	of	of	IN
cord-348010-m3a3utvz	382	7	adequate	adequate	JJ
cord-348010-m3a3utvz	382	8	contacts	contact	NNS
cord-348010-m3a3utvz	382	9	(	(	-LRB-
cord-348010-m3a3utvz	382	10	with	with	IN
cord-348010-m3a3utvz	382	11	all	all	DT
cord-348010-m3a3utvz	382	12	persons	person	NNS
cord-348010-m3a3utvz	382	13	and	and	CC
cord-348010-m3a3utvz	382	14	with	with	IN
cord-348010-m3a3utvz	382	15	susceptible	susceptible	JJ
cord-348010-m3a3utvz	382	16	ones	one	NNS
cord-348010-m3a3utvz	382	17	,	,	,
cord-348010-m3a3utvz	382	18	respectively	respectively	RB
cord-348010-m3a3utvz	382	19	)	)	-RRB-
cord-348010-m3a3utvz	382	20	of	of	IN
cord-348010-m3a3utvz	382	21	a	a	DT
cord-348010-m3a3utvz	382	22	new	new	JJ
cord-348010-m3a3utvz	382	23	infectious	infectious	JJ
cord-348010-m3a3utvz	382	24	person	person	NN
cord-348010-m3a3utvz	382	25	,	,	,
cord-348010-m3a3utvz	382	26	assuming	assume	VBG
cord-348010-m3a3utvz	382	27	that	that	DT
cord-348010-m3a3utvz	382	28	(	(	-LRB-
cord-348010-m3a3utvz	382	29	)	)	-RRB-
cord-348010-m3a3utvz	382	30	(	(	-LRB-
cord-348010-m3a3utvz	382	31	and	and	CC
cord-348010-m3a3utvz	382	32	(	(	-LRB-
cord-348010-m3a3utvz	382	33	)	)	-RRB-
cord-348010-m3a3utvz	382	34	∕	∕	JJ
cord-348010-m3a3utvz	382	35	)	)	-RRB-
cord-348010-m3a3utvz	382	36	remain	remain	VBP
cord-348010-m3a3utvz	382	37	constant	constant	JJ
cord-348010-m3a3utvz	382	38	during	during	IN
cord-348010-m3a3utvz	382	39	its	-PRON-	PRP$
cord-348010-m3a3utvz	382	40	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	382	41	.	.	.
cord-348010-m3a3utvz	383	1	Thus	thus	RB
cord-348010-m3a3utvz	383	2	,	,	,
cord-348010-m3a3utvz	383	3	in	in	IN
cord-348010-m3a3utvz	383	4	some	some	DT
cord-348010-m3a3utvz	383	5	sense	sense	NN
cord-348010-m3a3utvz	383	6	,	,	,
cord-348010-m3a3utvz	383	7	(	(	-LRB-
cord-348010-m3a3utvz	383	8	)	)	-RRB-
cord-348010-m3a3utvz	383	9	and	and	CC
cord-348010-m3a3utvz	383	10	(	(	-LRB-
cord-348010-m3a3utvz	383	11	)	)	-RRB-
cord-348010-m3a3utvz	383	12	are	be	VBP
cord-348010-m3a3utvz	383	13	virtual	virtual	JJ
cord-348010-m3a3utvz	383	14	contact	contact	NN
cord-348010-m3a3utvz	383	15	and	and	CC
cord-348010-m3a3utvz	383	16	replacement	replacement	NN
cord-348010-m3a3utvz	383	17	number	number	NN
cord-348010-m3a3utvz	383	18	,	,	,
cord-348010-m3a3utvz	383	19	respectively	respectively	RB
cord-348010-m3a3utvz	383	20	,	,	,
cord-348010-m3a3utvz	383	21	describing	describe	VBG
cord-348010-m3a3utvz	383	22	a	a	DT
cord-348010-m3a3utvz	383	23	frozen	frozen	JJ
cord-348010-m3a3utvz	383	24	state	state	NN
cord-348010-m3a3utvz	383	25	.	.	.
cord-348010-m3a3utvz	384	1	However	however	RB
cord-348010-m3a3utvz	384	2	,	,	,
cord-348010-m3a3utvz	384	3	just	just	RB
cord-348010-m3a3utvz	384	4	these	these	DT
cord-348010-m3a3utvz	384	5	numbers	number	NNS
cord-348010-m3a3utvz	384	6	play	play	VBP
cord-348010-m3a3utvz	384	7	an	an	DT
cord-348010-m3a3utvz	384	8	important	important	JJ
cord-348010-m3a3utvz	384	9	role	role	NN
cord-348010-m3a3utvz	384	10	,	,	,
cord-348010-m3a3utvz	384	11	see	see	VB
cord-348010-m3a3utvz	384	12	Paragraphs	paragraph	NNS
cord-348010-m3a3utvz	384	13	4.3.1	4.3.1	CD
cord-348010-m3a3utvz	384	14	and	and	CC
cord-348010-m3a3utvz	384	15	4.3.2	4.3.2	LS
cord-348010-m3a3utvz	384	16	.	.	.
cord-348010-m3a3utvz	385	1	Based	base	VBN
cord-348010-m3a3utvz	385	2	on	on	IN
cord-348010-m3a3utvz	385	3	Definition	Definition	NNP
cord-348010-m3a3utvz	385	4	2.1	2.1	CD
cord-348010-m3a3utvz	385	5	,	,	,
cord-348010-m3a3utvz	385	6	the	the	DT
cord-348010-m3a3utvz	385	7	individual	individual	NN
cord-348010-m3a3utvz	385	8	(	(	-LRB-
cord-348010-m3a3utvz	385	9	real	real	JJ
cord-348010-m3a3utvz	385	10	)	)	-RRB-
cord-348010-m3a3utvz	385	11	contact	contact	NN
cord-348010-m3a3utvz	385	12	and	and	CC
cord-348010-m3a3utvz	385	13	replacement	replacement	NN
cord-348010-m3a3utvz	385	14	number	number	NN
cord-348010-m3a3utvz	385	15	,	,	,
cord-348010-m3a3utvz	385	16	and	and	CC
cord-348010-m3a3utvz	385	17	,	,	,
cord-348010-m3a3utvz	385	18	respectively	respectively	RB
cord-348010-m3a3utvz	385	19	,	,	,
cord-348010-m3a3utvz	385	20	of	of	IN
cord-348010-m3a3utvz	385	21	an	an	DT
cord-348010-m3a3utvz	385	22	individual	individual	NN
cord-348010-m3a3utvz	385	23	(	(	-LRB-
cord-348010-m3a3utvz	385	24	still	still	RB
cord-348010-m3a3utvz	385	25	with	with	IN
cord-348010-m3a3utvz	385	26	an	an	DT
cord-348010-m3a3utvz	385	27	averaged	average	VBN
cord-348010-m3a3utvz	385	28	contact	contact	NN
cord-348010-m3a3utvz	385	29	behaviour	behaviour	NN
cord-348010-m3a3utvz	385	30	)	)	-RRB-
cord-348010-m3a3utvz	385	31	can	can	MD
cord-348010-m3a3utvz	385	32	be	be	VB
cord-348010-m3a3utvz	385	33	calculated	calculate	VBN
cord-348010-m3a3utvz	385	34	by	by	IN
cord-348010-m3a3utvz	385	35	Here	here	RB
cord-348010-m3a3utvz	385	36	,	,	,
cord-348010-m3a3utvz	385	37	the	the	DT
cord-348010-m3a3utvz	385	38	mean	mean	JJ
cord-348010-m3a3utvz	385	39	duration	duration	NN
cord-348010-m3a3utvz	385	40	of	of	IN
cord-348010-m3a3utvz	385	41	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	385	42	is	be	VBZ
cord-348010-m3a3utvz	385	43	used	use	VBN
cord-348010-m3a3utvz	385	44	,	,	,
cord-348010-m3a3utvz	385	45	and	and	CC
cord-348010-m3a3utvz	385	46	0	0	CD
cord-348010-m3a3utvz	386	1	(	(	-LRB-
cord-348010-m3a3utvz	386	2	)	)	-RRB-
cord-348010-m3a3utvz	386	3	is	be	VBZ
cord-348010-m3a3utvz	386	4	the	the	DT
cord-348010-m3a3utvz	386	5	begin	begin	NN
cord-348010-m3a3utvz	386	6	of	of	IN
cord-348010-m3a3utvz	386	7	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	386	8	of	of	IN
cord-348010-m3a3utvz	386	9	the	the	DT
cord-348010-m3a3utvz	386	10	individual	individual	NN
cord-348010-m3a3utvz	386	11	.	.	.
cord-348010-m3a3utvz	387	1	It	-PRON-	PRP
cord-348010-m3a3utvz	387	2	is	be	VBZ
cord-348010-m3a3utvz	387	3	thinkable	thinkable	JJ
cord-348010-m3a3utvz	387	4	to	to	TO
cord-348010-m3a3utvz	387	5	use	use	VB
cord-348010-m3a3utvz	387	6	an	an	DT
cord-348010-m3a3utvz	387	7	individual	individual	NN
cord-348010-m3a3utvz	387	8	(	(	-LRB-
cord-348010-m3a3utvz	387	9	)	)	-RRB-
cord-348010-m3a3utvz	387	10	.	.	.
cord-348010-m3a3utvz	388	1	At	at	IN
cord-348010-m3a3utvz	388	2	least	least	JJS
cord-348010-m3a3utvz	388	3	in	in	IN
cord-348010-m3a3utvz	388	4	this	this	DT
cord-348010-m3a3utvz	388	5	study	study	NN
cord-348010-m3a3utvz	388	6	,	,	,
cord-348010-m3a3utvz	388	7	these	these	DT
cord-348010-m3a3utvz	388	8	numbers	number	NNS
cord-348010-m3a3utvz	388	9	do	do	VBP
cord-348010-m3a3utvz	388	10	not	not	RB
cord-348010-m3a3utvz	388	11	play	play	VB
cord-348010-m3a3utvz	388	12	any	any	DT
cord-348010-m3a3utvz	388	13	role	role	NN
cord-348010-m3a3utvz	388	14	.	.	.
cord-348010-m3a3utvz	389	1	Even	even	RB
cord-348010-m3a3utvz	389	2	for	for	IN
cord-348010-m3a3utvz	389	3	constant	constant	JJ
cord-348010-m3a3utvz	389	4	,	,	,
cord-348010-m3a3utvz	389	5	the	the	DT
cord-348010-m3a3utvz	389	6	replacement	replacement	NN
cord-348010-m3a3utvz	389	7	number	number	NN
cord-348010-m3a3utvz	389	8	depends	depend	VBZ
cord-348010-m3a3utvz	389	9	on	on	IN
cord-348010-m3a3utvz	389	10	time	time	NN
cord-348010-m3a3utvz	389	11	.	.	.
cord-348010-m3a3utvz	390	1	Equation	equation	NN
cord-348010-m3a3utvz	390	2	(	(	-LRB-
cord-348010-m3a3utvz	390	3	2.17	2.17	CD
cord-348010-m3a3utvz	390	4	)	)	-RRB-
cord-348010-m3a3utvz	390	5	confirms	confirm	VBZ
cord-348010-m3a3utvz	390	6	the	the	DT
cord-348010-m3a3utvz	390	7	assertion	assertion	NN
cord-348010-m3a3utvz	390	8	mentioned	mention	VBN
cord-348010-m3a3utvz	390	9	above	above	RB
cord-348010-m3a3utvz	390	10	,	,	,
cord-348010-m3a3utvz	390	11	that	that	IN
cord-348010-m3a3utvz	390	12	the	the	DT
cord-348010-m3a3utvz	390	13	quantities	quantity	NNS
cord-348010-m3a3utvz	390	14	,	,	,
cord-348010-m3a3utvz	390	15	and	and	CC
cord-348010-m3a3utvz	390	16	0	0	CD
cord-348010-m3a3utvz	390	17	are	be	VBP
cord-348010-m3a3utvz	390	18	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	390	19	.	.	.
cord-348010-m3a3utvz	391	1	In	in	IN
cord-348010-m3a3utvz	391	2	other	other	JJ
cord-348010-m3a3utvz	391	3	words	word	NNS
cord-348010-m3a3utvz	391	4	,	,	,
cord-348010-m3a3utvz	391	5	they	-PRON-	PRP
cord-348010-m3a3utvz	391	6	are	be	VBP
cord-348010-m3a3utvz	391	7	numbers	number	NNS
cord-348010-m3a3utvz	391	8	in	in	IN
cord-348010-m3a3utvz	391	9	the	the	DT
cord-348010-m3a3utvz	391	10	sense	sense	NN
cord-348010-m3a3utvz	391	11	of	of	IN
cord-348010-m3a3utvz	391	12	Remark	Remark	NNP
cord-348010-m3a3utvz	391	13	2.2	2.2	CD
cord-348010-m3a3utvz	391	14	(	(	-LRB-
cord-348010-m3a3utvz	391	15	i	i	NN
cord-348010-m3a3utvz	391	16	)	)	-RRB-
cord-348010-m3a3utvz	391	17	.	.	.
cord-348010-m3a3utvz	392	1	Note	note	VB
cord-348010-m3a3utvz	392	2	that	that	IN
cord-348010-m3a3utvz	392	3	for	for	IN
cord-348010-m3a3utvz	392	4	more	more	JJR
cord-348010-m3a3utvz	392	5	complex	complex	JJ
cord-348010-m3a3utvz	392	6	models	model	NNS
cord-348010-m3a3utvz	392	7	the	the	DT
cord-348010-m3a3utvz	392	8	expressions	expression	NNS
cord-348010-m3a3utvz	392	9	for	for	IN
cord-348010-m3a3utvz	392	10	and	and	CC
cord-348010-m3a3utvz	392	11	generally	generally	RB
cord-348010-m3a3utvz	392	12	differ	differ	VBP
cord-348010-m3a3utvz	392	13	from	from	IN
cord-348010-m3a3utvz	392	14	(	(	-LRB-
cord-348010-m3a3utvz	392	15	2.17	2.17	CD
cord-348010-m3a3utvz	392	16	)	)	-RRB-
cord-348010-m3a3utvz	392	17	,	,	,
cord-348010-m3a3utvz	392	18	see	see	VB
cord-348010-m3a3utvz	392	19	Remark	remark	NN
cord-348010-m3a3utvz	392	20	3.1	3.1	CD
cord-348010-m3a3utvz	392	21	and	and	CC
cord-348010-m3a3utvz	392	22	Section	section	NN
cord-348010-m3a3utvz	392	23	4.3.1	4.3.1	CD
cord-348010-m3a3utvz	392	24	.	.	.
cord-348010-m3a3utvz	393	1	Equation	equation	NN
cord-348010-m3a3utvz	393	2	(	(	-LRB-
cord-348010-m3a3utvz	393	3	2.8	2.8	CD
cord-348010-m3a3utvz	393	4	)	)	-RRB-
cord-348010-m3a3utvz	393	5	and	and	CC
cord-348010-m3a3utvz	393	6	the	the	DT
cord-348010-m3a3utvz	393	7	last	last	JJ
cord-348010-m3a3utvz	393	8	relation	relation	NN
cord-348010-m3a3utvz	393	9	in	in	IN
cord-348010-m3a3utvz	393	10	(	(	-LRB-
cord-348010-m3a3utvz	393	11	2.17	2.17	CD
cord-348010-m3a3utvz	393	12	)	)	-RRB-
cord-348010-m3a3utvz	393	13	allow	allow	VB
cord-348010-m3a3utvz	393	14	the	the	DT
cord-348010-m3a3utvz	393	15	following	following	JJ
cord-348010-m3a3utvz	393	16	interpretation	interpretation	NN
cord-348010-m3a3utvz	393	17	.	.	.
cord-348010-m3a3utvz	394	1	The	the	DT
cord-348010-m3a3utvz	394	2	current	current	JJ
cord-348010-m3a3utvz	394	3	replacement	replacement	NN
cord-348010-m3a3utvz	394	4	number	number	NN
cord-348010-m3a3utvz	394	5	(	(	-LRB-
cord-348010-m3a3utvz	394	6	)	)	-RRB-
cord-348010-m3a3utvz	394	7	is	be	VBZ
cord-348010-m3a3utvz	394	8	the	the	DT
cord-348010-m3a3utvz	394	9	ratio	ratio	NN
cord-348010-m3a3utvz	394	10	of	of	IN
cord-348010-m3a3utvz	394	11	inflow	inflow	JJ
cord-348010-m3a3utvz	394	12	∕	∕	JJ
cord-348010-m3a3utvz	394	13	and	and	CC
cord-348010-m3a3utvz	394	14	outflow	outflow	NN
cord-348010-m3a3utvz	394	15	of	of	IN
cord-348010-m3a3utvz	394	16	infectious	infectious	JJ
cord-348010-m3a3utvz	394	17	persons	person	NNS
cord-348010-m3a3utvz	394	18	,	,	,
cord-348010-m3a3utvz	394	19	see	see	VB
cord-348010-m3a3utvz	394	20	[	[	-LRB-
cord-348010-m3a3utvz	394	21	24	24	CD
cord-348010-m3a3utvz	394	22	]	]	-RRB-
cord-348010-m3a3utvz	394	23	,	,	,
cord-348010-m3a3utvz	394	24	also	also	RB
cord-348010-m3a3utvz	394	25	for	for	IN
cord-348010-m3a3utvz	394	26	an	an	DT
cord-348010-m3a3utvz	394	27	application	application	NN
cord-348010-m3a3utvz	394	28	of	of	IN
cord-348010-m3a3utvz	394	29	this	this	DT
cord-348010-m3a3utvz	394	30	idea	idea	NN
cord-348010-m3a3utvz	394	31	.	.	.
cord-348010-m3a3utvz	395	1	Thus	thus	RB
cord-348010-m3a3utvz	395	2	,	,	,
cord-348010-m3a3utvz	395	3	the	the	DT
cord-348010-m3a3utvz	395	4	meaning	meaning	NN
cord-348010-m3a3utvz	395	5	of	of	IN
cord-348010-m3a3utvz	395	6	replacement	replacement	NN
cord-348010-m3a3utvz	395	7	number	number	NN
cord-348010-m3a3utvz	395	8	can	can	MD
cord-348010-m3a3utvz	395	9	be	be	VB
cord-348010-m3a3utvz	395	10	well	well	RB
cord-348010-m3a3utvz	395	11	explained	explain	VBN
cord-348010-m3a3utvz	395	12	.	.	.
cord-348010-m3a3utvz	396	1	In	in	IN
cord-348010-m3a3utvz	396	2	accordance	accordance	NN
cord-348010-m3a3utvz	396	3	with	with	IN
cord-348010-m3a3utvz	396	4	many	many	JJ
cord-348010-m3a3utvz	396	5	deterministic	deterministic	JJ
cord-348010-m3a3utvz	396	6	epidemiologic	epidemiologic	JJ
cord-348010-m3a3utvz	396	7	models	model	NNS
cord-348010-m3a3utvz	396	8	an	an	DT
cord-348010-m3a3utvz	396	9	infection	infection	NN
cord-348010-m3a3utvz	396	10	within	within	IN
cord-348010-m3a3utvz	396	11	a	a	DT
cord-348010-m3a3utvz	396	12	completely	completely	RB
cord-348010-m3a3utvz	396	13	susceptible	susceptible	JJ
cord-348010-m3a3utvz	396	14	population	population	NN
cord-348010-m3a3utvz	396	15	can	can	MD
cord-348010-m3a3utvz	396	16	start	start	VB
cord-348010-m3a3utvz	396	17	if	if	IN
cord-348010-m3a3utvz	396	18	and	and	CC
cord-348010-m3a3utvz	396	19	only	only	RB
cord-348010-m3a3utvz	396	20	if	if	IN
cord-348010-m3a3utvz	396	21	there	there	EX
cord-348010-m3a3utvz	396	22	holds	hold	VBZ
cord-348010-m3a3utvz	396	23	For	for	IN
cord-348010-m3a3utvz	396	24	further	further	JJ
cord-348010-m3a3utvz	396	25	discussion	discussion	NN
cord-348010-m3a3utvz	396	26	and	and	CC
cord-348010-m3a3utvz	396	27	for	for	IN
cord-348010-m3a3utvz	396	28	the	the	DT
cord-348010-m3a3utvz	396	29	question	question	NN
cord-348010-m3a3utvz	396	30	how	how	WRB
cord-348010-m3a3utvz	396	31	to	to	TO
cord-348010-m3a3utvz	396	32	determine	determine	VB
cord-348010-m3a3utvz	396	33	with	with	IN
cord-348010-m3a3utvz	396	34	the	the	DT
cord-348010-m3a3utvz	396	35	help	help	NN
cord-348010-m3a3utvz	396	36	of	of	IN
cord-348010-m3a3utvz	396	37	available	available	JJ
cord-348010-m3a3utvz	396	38	data	datum	NNS
cord-348010-m3a3utvz	396	39	we	-PRON-	PRP
cord-348010-m3a3utvz	396	40	refer	refer	VBP
cord-348010-m3a3utvz	396	41	to	to	IN
cord-348010-m3a3utvz	396	42	[	[	-LRB-
cord-348010-m3a3utvz	396	43	16	16	CD
cord-348010-m3a3utvz	396	44	,	,	,
cord-348010-m3a3utvz	396	45	20	20	CD
cord-348010-m3a3utvz	396	46	]	]	-RRB-
cord-348010-m3a3utvz	396	47	and	and	CC
cord-348010-m3a3utvz	396	48	,	,	,
cord-348010-m3a3utvz	396	49	especially	especially	RB
cord-348010-m3a3utvz	396	50	concerning	concern	VBG
cord-348010-m3a3utvz	396	51	SARS	SARS	NNP
cord-348010-m3a3utvz	396	52	-	-	HYPH
cord-348010-m3a3utvz	396	53	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	396	54	,	,	,
cord-348010-m3a3utvz	396	55	to	to	IN
cord-348010-m3a3utvz	396	56	[	[	-LRB-
cord-348010-m3a3utvz	396	57	2	2	CD
cord-348010-m3a3utvz	396	58	,	,	,
cord-348010-m3a3utvz	396	59	24	24	CD
cord-348010-m3a3utvz	396	60	,	,	,
cord-348010-m3a3utvz	396	61	36	36	CD
cord-348010-m3a3utvz	396	62	]	]	-RRB-
cord-348010-m3a3utvz	396	63	and	and	CC
cord-348010-m3a3utvz	396	64	to	to	IN
cord-348010-m3a3utvz	396	65	the	the	DT
cord-348010-m3a3utvz	396	66	references	reference	NNS
cord-348010-m3a3utvz	396	67	therein	therein	RB
cord-348010-m3a3utvz	396	68	.	.	.
cord-348010-m3a3utvz	397	1	In	in	IN
cord-348010-m3a3utvz	397	2	connection	connection	NN
cord-348010-m3a3utvz	397	3	with	with	IN
cord-348010-m3a3utvz	397	4	dimensional	dimensional	JJ
cord-348010-m3a3utvz	397	5	analysis	analysis	NN
cord-348010-m3a3utvz	397	6	we	-PRON-	PRP
cord-348010-m3a3utvz	397	7	return	return	VBP
cord-348010-m3a3utvz	397	8	to	to	IN
cord-348010-m3a3utvz	397	9	in	in	IN
cord-348010-m3a3utvz	397	10	Paragraphs	paragraphs	JJ
cord-348010-m3a3utvz	397	11	4.3.1	4.3.1	CD
cord-348010-m3a3utvz	397	12	and	and	CC
cord-348010-m3a3utvz	397	13	4.3.2	4.3.2	LS
cord-348010-m3a3utvz	397	14	.	.	.
cord-348010-m3a3utvz	398	1	We	-PRON-	PRP
cord-348010-m3a3utvz	398	2	close	close	VBP
cord-348010-m3a3utvz	398	3	this	this	DT
cord-348010-m3a3utvz	398	4	paragraph	paragraph	NN
cord-348010-m3a3utvz	398	5	with	with	IN
cord-348010-m3a3utvz	398	6	remarks	remark	NNS
cord-348010-m3a3utvz	398	7	concerning	concern	VBG
cord-348010-m3a3utvz	398	8	the	the	DT
cord-348010-m3a3utvz	398	9	use	use	NN
cord-348010-m3a3utvz	398	10	of	of	IN
cord-348010-m3a3utvz	398	11	some	some	DT
cord-348010-m3a3utvz	398	12	terms	term	NNS
cord-348010-m3a3utvz	398	13	,	,	,
cord-348010-m3a3utvz	398	14	Remarks	remark	VBZ
cord-348010-m3a3utvz	398	15	2.5	2.5	CD
cord-348010-m3a3utvz	398	16	.	.	.
cord-348010-m3a3utvz	399	1	(	(	-LRB-
cord-348010-m3a3utvz	399	2	On	on	IN
cord-348010-m3a3utvz	399	3	parameters	parameter	NNS
cord-348010-m3a3utvz	399	4	,	,	,
cord-348010-m3a3utvz	399	5	numbers	number	NNS
cord-348010-m3a3utvz	399	6	and	and	CC
cord-348010-m3a3utvz	399	7	rates	rate	NNS
cord-348010-m3a3utvz	399	8	)	)	-RRB-
cord-348010-m3a3utvz	399	9	(	(	-LRB-
cord-348010-m3a3utvz	399	10	i	i	NN
cord-348010-m3a3utvz	399	11	)	)	-RRB-
cord-348010-m3a3utvz	400	1	A	a	DT
cord-348010-m3a3utvz	400	2	parameter	parameter	NN
cord-348010-m3a3utvz	400	3	and	and	CC
cord-348010-m3a3utvz	400	4	a	a	DT
cord-348010-m3a3utvz	400	5	coefficient	coefficient	NN
cord-348010-m3a3utvz	400	6	are	be	VBP
cord-348010-m3a3utvz	400	7	understood	understand	VBN
cord-348010-m3a3utvz	400	8	as	as	IN
cord-348010-m3a3utvz	400	9	additional	additional	JJ
cord-348010-m3a3utvz	400	10	quantities	quantity	NNS
cord-348010-m3a3utvz	400	11	in	in	IN
cord-348010-m3a3utvz	400	12	equations	equation	NNS
cord-348010-m3a3utvz	400	13	or	or	CC
cord-348010-m3a3utvz	400	14	as	as	IN
cord-348010-m3a3utvz	400	15	quantities	quantity	NNS
cord-348010-m3a3utvz	400	16	formed	form	VBN
cord-348010-m3a3utvz	400	17	by	by	IN
cord-348010-m3a3utvz	400	18	them	-PRON-	PRP
cord-348010-m3a3utvz	400	19	.	.	.
cord-348010-m3a3utvz	401	1	Parameters	parameter	NNS
cord-348010-m3a3utvz	401	2	can	can	MD
cord-348010-m3a3utvz	401	3	be	be	VB
cord-348010-m3a3utvz	401	4	provided	provide	VBN
cord-348010-m3a3utvz	401	5	with	with	IN
cord-348010-m3a3utvz	401	6	units	unit	NNS
cord-348010-m3a3utvz	401	7	,	,	,
cord-348010-m3a3utvz	401	8	than	than	IN
cord-348010-m3a3utvz	401	9	they	-PRON-	PRP
cord-348010-m3a3utvz	401	10	have	have	VBP
cord-348010-m3a3utvz	401	11	a	a	DT
cord-348010-m3a3utvz	401	12	dimension	dimension	NN
cord-348010-m3a3utvz	401	13	.	.	.
cord-348010-m3a3utvz	402	1	If	if	IN
cord-348010-m3a3utvz	402	2	they	-PRON-	PRP
cord-348010-m3a3utvz	402	3	occur	occur	VBP
cord-348010-m3a3utvz	402	4	without	without	IN
cord-348010-m3a3utvz	402	5	units	unit	NNS
cord-348010-m3a3utvz	402	6	,	,	,
cord-348010-m3a3utvz	402	7	they	-PRON-	PRP
cord-348010-m3a3utvz	402	8	are	be	VBP
cord-348010-m3a3utvz	402	9	called	call	VBN
cord-348010-m3a3utvz	402	10	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	402	11	.	.	.
cord-348010-m3a3utvz	403	1	In	in	IN
cord-348010-m3a3utvz	403	2	the	the	DT
cord-348010-m3a3utvz	403	3	last	last	JJ
cord-348010-m3a3utvz	403	4	case	case	NN
cord-348010-m3a3utvz	403	5	,	,	,
cord-348010-m3a3utvz	403	6	they	-PRON-	PRP
cord-348010-m3a3utvz	403	7	are	be	VBP
cord-348010-m3a3utvz	403	8	also	also	RB
cord-348010-m3a3utvz	403	9	called	call	VBN
cord-348010-m3a3utvz	403	10	(	(	-LRB-
cord-348010-m3a3utvz	403	11	characteristic	characteristic	JJ
cord-348010-m3a3utvz	403	12	)	)	-RRB-
cord-348010-m3a3utvz	403	13	numbers	number	NNS
cord-348010-m3a3utvz	403	14	or	or	CC
cord-348010-m3a3utvz	403	15	ratios	ratio	NNS
cord-348010-m3a3utvz	403	16	.	.	.
cord-348010-m3a3utvz	404	1	As	as	IN
cord-348010-m3a3utvz	404	2	an	an	DT
cord-348010-m3a3utvz	404	3	example	example	NN
cord-348010-m3a3utvz	404	4	,	,	,
cord-348010-m3a3utvz	404	5	the	the	DT
cord-348010-m3a3utvz	404	6	contact	contact	NN
cord-348010-m3a3utvz	404	7	coefficient	coefficient	NN
cord-348010-m3a3utvz	404	8	in	in	IN
cord-348010-m3a3utvz	404	9	(	(	-LRB-
cord-348010-m3a3utvz	404	10	2.3	2.3	CD
cord-348010-m3a3utvz	404	11	)	)	-RRB-
cord-348010-m3a3utvz	404	12	has	have	VBZ
cord-348010-m3a3utvz	404	13	the	the	DT
cord-348010-m3a3utvz	404	14	dimension	dimension	NN
cord-348010-m3a3utvz	404	15	'	'	``
cord-348010-m3a3utvz	404	16	reciprocal	reciprocal	JJ
cord-348010-m3a3utvz	404	17	time	time	NN
cord-348010-m3a3utvz	404	18	'	'	''
cord-348010-m3a3utvz	404	19	,	,	,
cord-348010-m3a3utvz	404	20	i.e.	i.e.	FW
cord-348010-m3a3utvz	404	21	1	1	CD
cord-348010-m3a3utvz	404	22	∕	∕	CD
cord-348010-m3a3utvz	404	23	.	.	.
cord-348010-m3a3utvz	405	1	(	(	-LRB-
cord-348010-m3a3utvz	405	2	stands	stand	VBZ
cord-348010-m3a3utvz	405	3	for	for	IN
cord-348010-m3a3utvz	405	4	the	the	DT
cord-348010-m3a3utvz	405	5	dimension	dimension	NN
cord-348010-m3a3utvz	405	6	time	time	NN
cord-348010-m3a3utvz	405	7	.	.	.
cord-348010-m3a3utvz	405	8	)	)	-RRB-
cord-348010-m3a3utvz	406	1	The	the	DT
cord-348010-m3a3utvz	406	2	basic	basic	JJ
cord-348010-m3a3utvz	406	3	reproduction	reproduction	NN
cord-348010-m3a3utvz	406	4	number	number	NN
cord-348010-m3a3utvz	406	5	0	0	CD
cord-348010-m3a3utvz	406	6	,	,	,
cord-348010-m3a3utvz	406	7	the	the	DT
cord-348010-m3a3utvz	406	8	replacement	replacement	NN
cord-348010-m3a3utvz	406	9	number	number	NN
cord-348010-m3a3utvz	406	10	and	and	CC
cord-348010-m3a3utvz	406	11	the	the	DT
cord-348010-m3a3utvz	406	12	contact	contact	NN
cord-348010-m3a3utvz	406	13	number	number	NN
cord-348010-m3a3utvz	406	14	are	be	VBP
cord-348010-m3a3utvz	406	15	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	406	16	and	and	CC
cord-348010-m3a3utvz	406	17	thus	thus	RB
cord-348010-m3a3utvz	406	18	(	(	-LRB-
cord-348010-m3a3utvz	406	19	characteristic	characteristic	JJ
cord-348010-m3a3utvz	406	20	)	)	-RRB-
cord-348010-m3a3utvz	406	21	numbers	number	NNS
cord-348010-m3a3utvz	406	22	.	.	.
cord-348010-m3a3utvz	407	1	Note	note	VB
cord-348010-m3a3utvz	407	2	,	,	,
cord-348010-m3a3utvz	407	3	that	that	IN
cord-348010-m3a3utvz	407	4	in	in	IN
cord-348010-m3a3utvz	407	5	current	current	JJ
cord-348010-m3a3utvz	407	6	discussions	discussion	NNS
cord-348010-m3a3utvz	407	7	about	about	IN
cord-348010-m3a3utvz	407	8	the	the	DT
cord-348010-m3a3utvz	407	9	SARS	SARS	NNP
cord-348010-m3a3utvz	407	10	-	-	HYPH
cord-348010-m3a3utvz	407	11	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	407	12	pandemic	pandemic	NN
cord-348010-m3a3utvz	407	13	sometimes	sometimes	RB
cord-348010-m3a3utvz	407	14	the	the	DT
cord-348010-m3a3utvz	407	15	terms	term	NNS
cord-348010-m3a3utvz	407	16	reproduction	reproduction	NN
cord-348010-m3a3utvz	407	17	rate	rate	NN
cord-348010-m3a3utvz	407	18	and	and	CC
cord-348010-m3a3utvz	407	19	infection	infection	NN
cord-348010-m3a3utvz	407	20	rate	rate	NN
cord-348010-m3a3utvz	407	21	are	be	VBP
cord-348010-m3a3utvz	407	22	used	use	VBN
cord-348010-m3a3utvz	407	23	incorrectly	incorrectly	RB
cord-348010-m3a3utvz	407	24	.	.	.
cord-348010-m3a3utvz	408	1	This	this	DT
cord-348010-m3a3utvz	408	2	may	may	MD
cord-348010-m3a3utvz	408	3	lead	lead	VB
cord-348010-m3a3utvz	408	4	to	to	IN
cord-348010-m3a3utvz	408	5	confusion	confusion	NN
cord-348010-m3a3utvz	408	6	in	in	IN
cord-348010-m3a3utvz	408	7	the	the	DT
cord-348010-m3a3utvz	408	8	broad	broad	JJ
cord-348010-m3a3utvz	408	9	public	public	NN
cord-348010-m3a3utvz	408	10	.	.	.
cord-348010-m3a3utvz	409	1	(	(	-LRB-
cord-348010-m3a3utvz	409	2	ii	ii	NN
cord-348010-m3a3utvz	409	3	)	)	-RRB-
cord-348010-m3a3utvz	410	1	A	a	DT
cord-348010-m3a3utvz	410	2	rate	rate	NN
cord-348010-m3a3utvz	410	3	is	be	VBZ
cord-348010-m3a3utvz	410	4	often	often	RB
cord-348010-m3a3utvz	410	5	understood	understand	VBN
cord-348010-m3a3utvz	410	6	as	as	IN
cord-348010-m3a3utvz	410	7	a	a	DT
cord-348010-m3a3utvz	410	8	quantity	quantity	NN
cord-348010-m3a3utvz	410	9	which	which	WDT
cord-348010-m3a3utvz	410	10	dimension	dimension	NN
cord-348010-m3a3utvz	410	11	has	have	VBZ
cord-348010-m3a3utvz	410	12	the	the	DT
cord-348010-m3a3utvz	410	13	time	time	NN
cord-348010-m3a3utvz	410	14	in	in	IN
cord-348010-m3a3utvz	410	15	the	the	DT
cord-348010-m3a3utvz	410	16	denominator	denominator	NN
cord-348010-m3a3utvz	410	17	.	.	.
cord-348010-m3a3utvz	411	1	For	for	IN
cord-348010-m3a3utvz	411	2	instance	instance	NN
cord-348010-m3a3utvz	411	3	,	,	,
cord-348010-m3a3utvz	411	4	the	the	DT
cord-348010-m3a3utvz	411	5	contact	contact	NN
cord-348010-m3a3utvz	411	6	coefficient	coefficient	NN
cord-348010-m3a3utvz	411	7	is	be	VBZ
cord-348010-m3a3utvz	411	8	a	a	DT
cord-348010-m3a3utvz	411	9	rate	rate	NN
cord-348010-m3a3utvz	411	10	.	.	.
cord-348010-m3a3utvz	412	1	Moreover	moreover	RB
cord-348010-m3a3utvz	412	2	,	,	,
cord-348010-m3a3utvz	412	3	the	the	DT
cord-348010-m3a3utvz	412	4	whole	whole	JJ
cord-348010-m3a3utvz	412	5	right	right	JJ
cord-348010-m3a3utvz	412	6	-	-	HYPH
cord-348010-m3a3utvz	412	7	hand	hand	NN
cord-348010-m3a3utvz	412	8	side	side	NN
cord-348010-m3a3utvz	412	9	(	(	-LRB-
cord-348010-m3a3utvz	412	10	)	)	-RRB-
cord-348010-m3a3utvz	412	11	(	(	-LRB-
cord-348010-m3a3utvz	412	12	)	)	-RRB-
cord-348010-m3a3utvz	412	13	(	(	-LRB-
cord-348010-m3a3utvz	412	14	)	)	-RRB-
cord-348010-m3a3utvz	413	1	∕	∕	JJ
cord-348010-m3a3utvz	413	2	(	(	-LRB-
cord-348010-m3a3utvz	413	3	)	)	-RRB-
cord-348010-m3a3utvz	413	4	of	of	IN
cord-348010-m3a3utvz	413	5	(	(	-LRB-
cord-348010-m3a3utvz	413	6	2.7	2.7	CD
cord-348010-m3a3utvz	413	7	)	)	-RRB-
cord-348010-m3a3utvz	413	8	is	be	VBZ
cord-348010-m3a3utvz	413	9	a	a	DT
cord-348010-m3a3utvz	413	10	rate	rate	NN
cord-348010-m3a3utvz	413	11	,	,	,
cord-348010-m3a3utvz	413	12	the	the	DT
cord-348010-m3a3utvz	413	13	total	total	JJ
cord-348010-m3a3utvz	413	14	contact	contact	NN
cord-348010-m3a3utvz	413	15	rate	rate	NN
cord-348010-m3a3utvz	413	16	.	.	.
cord-348010-m3a3utvz	414	1	The	the	DT
cord-348010-m3a3utvz	414	2	derivations	derivation	NNS
cord-348010-m3a3utvz	414	3	of	of	IN
cord-348010-m3a3utvz	414	4	differential	differential	JJ
cord-348010-m3a3utvz	414	5	Equations	equation	NNS
cord-348010-m3a3utvz	414	6	(	(	-LRB-
cord-348010-m3a3utvz	414	7	2.3	2.3	CD
cord-348010-m3a3utvz	414	8	)	)	-RRB-
cord-348010-m3a3utvz	414	9	and	and	CC
cord-348010-m3a3utvz	414	10	(	(	-LRB-
cord-348010-m3a3utvz	414	11	2.7	2.7	CD
cord-348010-m3a3utvz	414	12	)	)	-RRB-
cord-348010-m3a3utvz	414	13	have	have	VBP
cord-348010-m3a3utvz	414	14	been	be	VBN
cord-348010-m3a3utvz	414	15	performed	perform	VBN
cord-348010-m3a3utvz	414	16	under	under	IN
cord-348010-m3a3utvz	414	17	the	the	DT
cord-348010-m3a3utvz	414	18	assumption	assumption	NN
cord-348010-m3a3utvz	414	19	that	that	IN
cord-348010-m3a3utvz	414	20	each	each	DT
cord-348010-m3a3utvz	414	21	infected	infected	JJ
cord-348010-m3a3utvz	414	22	person	person	NN
cord-348010-m3a3utvz	414	23	is	be	VBZ
cord-348010-m3a3utvz	414	24	infectious	infectious	JJ
cord-348010-m3a3utvz	414	25	from	from	IN
cord-348010-m3a3utvz	414	26	the	the	DT
cord-348010-m3a3utvz	414	27	begin	begin	NN
cord-348010-m3a3utvz	414	28	and	and	CC
cord-348010-m3a3utvz	414	29	for	for	IN
cord-348010-m3a3utvz	414	30	all	all	DT
cord-348010-m3a3utvz	414	31	time	time	NN
cord-348010-m3a3utvz	414	32	.	.	.
cord-348010-m3a3utvz	415	1	Generally	generally	RB
cord-348010-m3a3utvz	415	2	,	,	,
cord-348010-m3a3utvz	415	3	this	this	DT
cord-348010-m3a3utvz	415	4	is	be	VBZ
cord-348010-m3a3utvz	415	5	not	not	RB
cord-348010-m3a3utvz	415	6	the	the	DT
cord-348010-m3a3utvz	415	7	case	case	NN
cord-348010-m3a3utvz	415	8	.	.	.
cord-348010-m3a3utvz	416	1	Equation	equation	NN
cord-348010-m3a3utvz	416	2	(	(	-LRB-
cord-348010-m3a3utvz	416	3	2.8	2.8	CD
cord-348010-m3a3utvz	416	4	)	)	-RRB-
cord-348010-m3a3utvz	416	5	models	model	VBZ
cord-348010-m3a3utvz	416	6	a	a	DT
cord-348010-m3a3utvz	416	7	finite	finite	JJ
cord-348010-m3a3utvz	416	8	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	416	9	,	,	,
cord-348010-m3a3utvz	416	10	assuming	assume	VBG
cord-348010-m3a3utvz	416	11	an	an	DT
cord-348010-m3a3utvz	416	12	exponential	exponential	JJ
cord-348010-m3a3utvz	416	13	decay	decay	NN
cord-348010-m3a3utvz	416	14	,	,	,
cord-348010-m3a3utvz	416	15	cf	cf	NN
cord-348010-m3a3utvz	416	16	.	.	.
cord-348010-m3a3utvz	417	1	Remark	remark	NN
cord-348010-m3a3utvz	417	2	2.4	2.4	CD
cord-348010-m3a3utvz	417	3	(	(	-LRB-
cord-348010-m3a3utvz	417	4	ii	ii	NNP
cord-348010-m3a3utvz	417	5	)	)	-RRB-
cord-348010-m3a3utvz	417	6	,	,	,
cord-348010-m3a3utvz	417	7	which	which	WDT
cord-348010-m3a3utvz	417	8	does	do	VBZ
cord-348010-m3a3utvz	417	9	not	not	RB
cord-348010-m3a3utvz	417	10	need	need	VB
cord-348010-m3a3utvz	417	11	to	to	TO
cord-348010-m3a3utvz	417	12	be	be	VB
cord-348010-m3a3utvz	417	13	the	the	DT
cord-348010-m3a3utvz	417	14	case	case	NN
cord-348010-m3a3utvz	417	15	.	.	.
cord-348010-m3a3utvz	418	1	Thus	thus	RB
cord-348010-m3a3utvz	418	2	,	,	,
cord-348010-m3a3utvz	418	3	there	there	EX
cord-348010-m3a3utvz	418	4	were	be	VBD
cord-348010-m3a3utvz	418	5	developed	develop	VBN
cord-348010-m3a3utvz	418	6	general	general	JJ
cord-348010-m3a3utvz	418	7	approaches	approach	NNS
cord-348010-m3a3utvz	418	8	containing	contain	VBG
cord-348010-m3a3utvz	418	9	explicitly	explicitly	RB
cord-348010-m3a3utvz	418	10	stochastic	stochastic	JJ
cord-348010-m3a3utvz	418	11	moments	moment	NNS
cord-348010-m3a3utvz	418	12	and	and	CC
cord-348010-m3a3utvz	418	13	leading	lead	VBG
cord-348010-m3a3utvz	418	14	to	to	IN
cord-348010-m3a3utvz	418	15	integral	integral	JJ
cord-348010-m3a3utvz	418	16	equations	equation	NNS
cord-348010-m3a3utvz	418	17	for	for	IN
cord-348010-m3a3utvz	418	18	.	.	.
cord-348010-m3a3utvz	419	1	In	in	IN
cord-348010-m3a3utvz	419	2	a	a	DT
cord-348010-m3a3utvz	419	3	special	special	JJ
cord-348010-m3a3utvz	419	4	case	case	NN
cord-348010-m3a3utvz	419	5	,	,	,
cord-348010-m3a3utvz	419	6	this	this	DT
cord-348010-m3a3utvz	419	7	is	be	VBZ
cord-348010-m3a3utvz	419	8	equivalent	equivalent	JJ
cord-348010-m3a3utvz	419	9	to	to	IN
cord-348010-m3a3utvz	419	10	differential	differential	JJ
cord-348010-m3a3utvz	419	11	equations	equation	NNS
cord-348010-m3a3utvz	419	12	.	.	.
cord-348010-m3a3utvz	420	1	We	-PRON-	PRP
cord-348010-m3a3utvz	420	2	explain	explain	VBP
cord-348010-m3a3utvz	420	3	this	this	DT
cord-348010-m3a3utvz	420	4	in	in	IN
cord-348010-m3a3utvz	420	5	short	short	JJ
cord-348010-m3a3utvz	420	6	and	and	CC
cord-348010-m3a3utvz	420	7	follow	follow	VB
cord-348010-m3a3utvz	420	8	[	[	-LRB-
cord-348010-m3a3utvz	420	9	32	32	CD
cord-348010-m3a3utvz	420	10	,	,	,
cord-348010-m3a3utvz	420	11	33	33	CD
cord-348010-m3a3utvz	420	12	]	]	-RRB-
cord-348010-m3a3utvz	420	13	.	.	.
cord-348010-m3a3utvz	421	1	Since	since	IN
cord-348010-m3a3utvz	421	2	models	model	NNS
cord-348010-m3a3utvz	421	3	with	with	IN
cord-348010-m3a3utvz	421	4	differential	differential	JJ
cord-348010-m3a3utvz	421	5	equations	equation	NNS
cord-348010-m3a3utvz	421	6	are	be	VBP
cord-348010-m3a3utvz	421	7	in	in	IN
cord-348010-m3a3utvz	421	8	the	the	DT
cord-348010-m3a3utvz	421	9	focus	focus	NN
cord-348010-m3a3utvz	421	10	of	of	IN
cord-348010-m3a3utvz	421	11	this	this	DT
cord-348010-m3a3utvz	421	12	study	study	NN
cord-348010-m3a3utvz	421	13	,	,	,
cord-348010-m3a3utvz	421	14	we	-PRON-	PRP
cord-348010-m3a3utvz	421	15	do	do	VBP
cord-348010-m3a3utvz	421	16	not	not	RB
cord-348010-m3a3utvz	421	17	want	want	VB
cord-348010-m3a3utvz	421	18	to	to	TO
cord-348010-m3a3utvz	421	19	apply	apply	VB
cord-348010-m3a3utvz	421	20	this	this	DT
cord-348010-m3a3utvz	421	21	approach	approach	NN
cord-348010-m3a3utvz	421	22	to	to	IN
cord-348010-m3a3utvz	421	23	more	more	RBR
cord-348010-m3a3utvz	421	24	complex	complex	JJ
cord-348010-m3a3utvz	421	25	models	model	NNS
cord-348010-m3a3utvz	421	26	like	like	IN
cord-348010-m3a3utvz	421	27	SEIRD	SEIRD	NNP
cord-348010-m3a3utvz	421	28	ones	one	NNS
cord-348010-m3a3utvz	421	29	.	.	.
cord-348010-m3a3utvz	422	1	For	for	IN
cord-348010-m3a3utvz	422	2	≥	≥	CD
cord-348010-m3a3utvz	422	3	0	0	CD
cord-348010-m3a3utvz	422	4	we	-PRON-	PRP
cord-348010-m3a3utvz	422	5	note	note	VBP
cord-348010-m3a3utvz	422	6	by	by	IN
cord-348010-m3a3utvz	422	7	(	(	-LRB-
cord-348010-m3a3utvz	422	8	)	)	-RRB-
cord-348010-m3a3utvz	422	9	the	the	DT
cord-348010-m3a3utvz	422	10	probability	probability	NN
cord-348010-m3a3utvz	422	11	that	that	IN
cord-348010-m3a3utvz	422	12	an	an	DT
cord-348010-m3a3utvz	422	13	infected	infected	JJ
cord-348010-m3a3utvz	422	14	is	be	VBZ
cord-348010-m3a3utvz	422	15	infectious	infectious	JJ
cord-348010-m3a3utvz	422	16	until	until	IN
cord-348010-m3a3utvz	422	17	time	time	NN
cord-348010-m3a3utvz	422	18	.	.	.
cord-348010-m3a3utvz	423	1	We	-PRON-	PRP
cord-348010-m3a3utvz	423	2	assume	assume	VBP
cord-348010-m3a3utvz	423	3	:	:	:
cord-348010-m3a3utvz	423	4	(	(	-LRB-
cord-348010-m3a3utvz	423	5	i	i	NN
cord-348010-m3a3utvz	423	6	)	)	-RRB-
cord-348010-m3a3utvz	424	1	The	the	DT
cord-348010-m3a3utvz	424	2	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	424	3	begins	begin	VBZ
cord-348010-m3a3utvz	424	4	immediately	immediately	RB
cord-348010-m3a3utvz	424	5	after	after	IN
cord-348010-m3a3utvz	424	6	an	an	DT
cord-348010-m3a3utvz	424	7	adequate	adequate	JJ
cord-348010-m3a3utvz	424	8	contact	contact	NN
cord-348010-m3a3utvz	424	9	.	.	.
cord-348010-m3a3utvz	425	1	(	(	-LRB-
cord-348010-m3a3utvz	425	2	ii	ii	NN
cord-348010-m3a3utvz	425	3	)	)	-RRB-
cord-348010-m3a3utvz	426	1	There	there	EX
cord-348010-m3a3utvz	426	2	are	be	VBP
cord-348010-m3a3utvz	426	3	no	no	DT
cord-348010-m3a3utvz	426	4	death	death	NN
cord-348010-m3a3utvz	426	5	cases	case	NNS
cord-348010-m3a3utvz	426	6	,	,	,
cord-348010-m3a3utvz	426	7	neither	neither	CC
cord-348010-m3a3utvz	426	8	infection	infection	NN
cord-348010-m3a3utvz	426	9	-	-	HYPH
cord-348010-m3a3utvz	426	10	related	relate	VBN
cord-348010-m3a3utvz	426	11	nor	nor	CC
cord-348010-m3a3utvz	426	12	other	other	JJ
cord-348010-m3a3utvz	426	13	ones	one	NNS
cord-348010-m3a3utvz	426	14	.	.	.
cord-348010-m3a3utvz	427	1	These	these	DT
cord-348010-m3a3utvz	427	2	two	two	CD
cord-348010-m3a3utvz	427	3	assumption	assumption	NN
cord-348010-m3a3utvz	427	4	are	be	VBP
cord-348010-m3a3utvz	427	5	made	make	VBN
cord-348010-m3a3utvz	427	6	to	to	TO
cord-348010-m3a3utvz	427	7	focus	focus	VB
cord-348010-m3a3utvz	427	8	on	on	IN
cord-348010-m3a3utvz	427	9	essential	essential	JJ
cord-348010-m3a3utvz	427	10	items	item	NNS
cord-348010-m3a3utvz	427	11	.	.	.
cord-348010-m3a3utvz	428	1	If	if	IN
cord-348010-m3a3utvz	428	2	necessary	necessary	JJ
cord-348010-m3a3utvz	428	3	,	,	,
cord-348010-m3a3utvz	428	4	the	the	DT
cord-348010-m3a3utvz	428	5	model	model	NN
cord-348010-m3a3utvz	428	6	can	can	MD
cord-348010-m3a3utvz	428	7	be	be	VB
cord-348010-m3a3utvz	428	8	suitably	suitably	RB
cord-348010-m3a3utvz	428	9	extended	extend	VBN
cord-348010-m3a3utvz	428	10	(	(	-LRB-
cord-348010-m3a3utvz	428	11	see	see	VB
cord-348010-m3a3utvz	428	12	Remark	Remark	NNP
cord-348010-m3a3utvz	428	13	2.7	2.7	CD
cord-348010-m3a3utvz	428	14	(	(	-LRB-
cord-348010-m3a3utvz	428	15	i	i	NN
cord-348010-m3a3utvz	428	16	)	)	-RRB-
cord-348010-m3a3utvz	428	17	,	,	,
cord-348010-m3a3utvz	428	18	(	(	-LRB-
cord-348010-m3a3utvz	428	19	ii	ii	NN
cord-348010-m3a3utvz	428	20	)	)	-RRB-
cord-348010-m3a3utvz	428	21	)	)	-RRB-
cord-348010-m3a3utvz	428	22	.	.	.
cord-348010-m3a3utvz	429	1	Let	let	VB
cord-348010-m3a3utvz	429	2	be	be	VB
cord-348010-m3a3utvz	429	3	fulfil	fulfil	VB
cord-348010-m3a3utvz	429	4	Again	again	RB
cord-348010-m3a3utvz	429	5	,	,	,
cord-348010-m3a3utvz	429	6	0	0	NFP
cord-348010-m3a3utvz	429	7	<	<	XX
cord-348010-m3a3utvz	429	8	=	=	XX
cord-348010-m3a3utvz	429	9	<	<	XX
cord-348010-m3a3utvz	430	1	∞	∞	NNP
cord-348010-m3a3utvz	430	2	is	be	VBZ
cord-348010-m3a3utvz	430	3	the	the	DT
cord-348010-m3a3utvz	430	4	average	average	JJ
cord-348010-m3a3utvz	430	5	duration	duration	NN
cord-348010-m3a3utvz	430	6	of	of	IN
cord-348010-m3a3utvz	430	7	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	430	8	(	(	-LRB-
cord-348010-m3a3utvz	430	9	see	see	VB
cord-348010-m3a3utvz	430	10	Remark	Remark	NNP
cord-348010-m3a3utvz	430	11	2.4	2.4	CD
cord-348010-m3a3utvz	430	12	(	(	-LRB-
cord-348010-m3a3utvz	430	13	ii	ii	NN
cord-348010-m3a3utvz	430	14	)	)	-RRB-
cord-348010-m3a3utvz	430	15	as	as	RB
cord-348010-m3a3utvz	430	16	well	well	RB
cord-348010-m3a3utvz	430	17	as	as	IN
cord-348010-m3a3utvz	430	18	the	the	DT
cord-348010-m3a3utvz	430	19	explications	explication	NNS
cord-348010-m3a3utvz	430	20	after	after	IN
cord-348010-m3a3utvz	430	21	(	(	-LRB-
cord-348010-m3a3utvz	430	22	2.8	2.8	CD
cord-348010-m3a3utvz	430	23	)	)	-RRB-
cord-348010-m3a3utvz	430	24	)	)	-RRB-
cord-348010-m3a3utvz	430	25	.	.	.
cord-348010-m3a3utvz	431	1	For	for	IN
cord-348010-m3a3utvz	431	2	the	the	DT
cord-348010-m3a3utvz	431	3	case	case	NN
cord-348010-m3a3utvz	431	4	=	=	LS
cord-348010-m3a3utvz	431	5	∞	∞	NNP
cord-348010-m3a3utvz	431	6	we	-PRON-	PRP
cord-348010-m3a3utvz	431	7	refer	refer	VBP
cord-348010-m3a3utvz	431	8	to	to	IN
cord-348010-m3a3utvz	431	9	[	[	-LRB-
cord-348010-m3a3utvz	431	10	33	33	CD
cord-348010-m3a3utvz	431	11	]	]	-RRB-
cord-348010-m3a3utvz	431	12	.	.	.
cord-348010-m3a3utvz	432	1	We	-PRON-	PRP
cord-348010-m3a3utvz	432	2	follow	follow	VBP
cord-348010-m3a3utvz	432	3	[	[	-LRB-
cord-348010-m3a3utvz	432	4	33	33	CD
cord-348010-m3a3utvz	432	5	]	]	-RRB-
cord-348010-m3a3utvz	432	6	with	with	IN
cord-348010-m3a3utvz	432	7	small	small	JJ
cord-348010-m3a3utvz	432	8	changes	change	NNS
cord-348010-m3a3utvz	432	9	,	,	,
cord-348010-m3a3utvz	432	10	allowing	allow	VBG
cord-348010-m3a3utvz	432	11	furthermore	furthermore	RB
cord-348010-m3a3utvz	432	12	a	a	DT
cord-348010-m3a3utvz	432	13	continuous	continuous	JJ
cord-348010-m3a3utvz	432	14	=	=	NN
cord-348010-m3a3utvz	432	15	(	(	-LRB-
cord-348010-m3a3utvz	432	16	)	)	-RRB-
cord-348010-m3a3utvz	432	17	.	.	.
cord-348010-m3a3utvz	433	1	The	the	DT
cord-348010-m3a3utvz	433	2	approach	approach	NN
cord-348010-m3a3utvz	433	3	for	for	IN
cord-348010-m3a3utvz	433	4	infected	infected	JJ
cord-348010-m3a3utvz	433	5	persons	person	NNS
cord-348010-m3a3utvz	433	6	is	be	VBZ
cord-348010-m3a3utvz	433	7	given	give	VBN
cord-348010-m3a3utvz	433	8	by	by	IN
cord-348010-m3a3utvz	433	9	(	(	-LRB-
cord-348010-m3a3utvz	433	10	2.22	2.22	CD
cord-348010-m3a3utvz	433	11	)	)	-RRB-
cord-348010-m3a3utvz	433	12	0	0	NFP
cord-348010-m3a3utvz	434	1	(	(	-LRB-
cord-348010-m3a3utvz	434	2	)	)	-RRB-
cord-348010-m3a3utvz	434	3	means	mean	VBZ
cord-348010-m3a3utvz	434	4	the	the	DT
cord-348010-m3a3utvz	434	5	(	(	-LRB-
cord-348010-m3a3utvz	434	6	probable	probable	JJ
cord-348010-m3a3utvz	434	7	)	)	-RRB-
cord-348010-m3a3utvz	434	8	number	number	NN
cord-348010-m3a3utvz	434	9	of	of	IN
cord-348010-m3a3utvz	434	10	initially	initially	RB
cord-348010-m3a3utvz	434	11	infected	infect	VBN
cord-348010-m3a3utvz	434	12	persons	person	NNS
cord-348010-m3a3utvz	434	13	being	be	VBG
cord-348010-m3a3utvz	434	14	still	still	RB
cord-348010-m3a3utvz	434	15	infectious	infectious	JJ
cord-348010-m3a3utvz	434	16	at	at	IN
cord-348010-m3a3utvz	434	17	time	time	NN
cord-348010-m3a3utvz	434	18	.	.	.
cord-348010-m3a3utvz	435	1	The	the	DT
cord-348010-m3a3utvz	435	2	integral	integral	NN
cord-348010-m3a3utvz	435	3	is	be	VBZ
cord-348010-m3a3utvz	435	4	the	the	DT
cord-348010-m3a3utvz	435	5	sum	sum	NN
cord-348010-m3a3utvz	435	6	of	of	IN
cord-348010-m3a3utvz	435	7	persons	person	NNS
cord-348010-m3a3utvz	435	8	infected	infect	VBN
cord-348010-m3a3utvz	435	9	at	at	IN
cord-348010-m3a3utvz	435	10	,	,	,
cord-348010-m3a3utvz	435	11	being	be	VBG
cord-348010-m3a3utvz	435	12	(	(	-LRB-
cord-348010-m3a3utvz	435	13	probable	probable	JJ
cord-348010-m3a3utvz	435	14	)	)	-RRB-
cord-348010-m3a3utvz	435	15	still	still	RB
cord-348010-m3a3utvz	435	16	infectious	infectious	JJ
cord-348010-m3a3utvz	435	17	.	.	.
cord-348010-m3a3utvz	436	1	Remark	remark	NN
cord-348010-m3a3utvz	436	2	2.6	2.6	CD
cord-348010-m3a3utvz	436	3	.	.	.
cord-348010-m3a3utvz	437	1	Contrary	contrary	JJ
cord-348010-m3a3utvz	437	2	to	to	IN
cord-348010-m3a3utvz	437	3	(	(	-LRB-
cord-348010-m3a3utvz	437	4	2.8	2.8	CD
cord-348010-m3a3utvz	437	5	)	)	-RRB-
cord-348010-m3a3utvz	437	6	,	,	,
cord-348010-m3a3utvz	437	7	the	the	DT
cord-348010-m3a3utvz	437	8	approach	approach	NN
cord-348010-m3a3utvz	437	9	in	in	IN
cord-348010-m3a3utvz	437	10	(	(	-LRB-
cord-348010-m3a3utvz	437	11	2.22	2.22	CD
cord-348010-m3a3utvz	437	12	)	)	-RRB-
cord-348010-m3a3utvz	437	13	contains	contain	VBZ
cord-348010-m3a3utvz	437	14	explicitly	explicitly	RB
cord-348010-m3a3utvz	437	15	a	a	DT
cord-348010-m3a3utvz	437	16	stochastic	stochastic	JJ
cord-348010-m3a3utvz	437	17	moment	moment	NN
cord-348010-m3a3utvz	437	18	.	.	.
cord-348010-m3a3utvz	438	1	However	however	RB
cord-348010-m3a3utvz	438	2	,	,	,
cord-348010-m3a3utvz	438	3	let	let	VB
cord-348010-m3a3utvz	438	4	us	-PRON-	PRP
cord-348010-m3a3utvz	438	5	remark	remark	VB
cord-348010-m3a3utvz	438	6	,	,	,
cord-348010-m3a3utvz	438	7	that	that	IN
cord-348010-m3a3utvz	438	8	the	the	DT
cord-348010-m3a3utvz	438	9	approach	approach	NN
cord-348010-m3a3utvz	438	10	in	in	IN
cord-348010-m3a3utvz	438	11	(	(	-LRB-
cord-348010-m3a3utvz	438	12	2.8	2.8	CD
cord-348010-m3a3utvz	438	13	)	)	-RRB-
cord-348010-m3a3utvz	438	14	contains	contain	VBZ
cord-348010-m3a3utvz	438	15	indirectly	indirectly	RB
cord-348010-m3a3utvz	438	16	a	a	DT
cord-348010-m3a3utvz	438	17	stochastic	stochastic	JJ
cord-348010-m3a3utvz	438	18	moment	moment	NN
cord-348010-m3a3utvz	438	19	via	via	IN
cord-348010-m3a3utvz	438	20	the	the	DT
cord-348010-m3a3utvz	438	21	concept	concept	NN
cord-348010-m3a3utvz	438	22	of	of	IN
cord-348010-m3a3utvz	438	23	adequate	adequate	JJ
cord-348010-m3a3utvz	438	24	contacts	contact	NNS
cord-348010-m3a3utvz	438	25	,	,	,
cord-348010-m3a3utvz	438	26	which	which	WDT
cord-348010-m3a3utvz	438	27	is	be	VBZ
cord-348010-m3a3utvz	438	28	averaged	average	VBN
cord-348010-m3a3utvz	438	29	by	by	IN
cord-348010-m3a3utvz	438	30	a	a	DT
cord-348010-m3a3utvz	438	31	generally	generally	RB
cord-348010-m3a3utvz	438	32	large	large	JJ
cord-348010-m3a3utvz	438	33	number	number	NN
cord-348010-m3a3utvz	438	34	of	of	IN
cord-348010-m3a3utvz	438	35	individuals	individual	NNS
cord-348010-m3a3utvz	438	36	.	.	.
cord-348010-m3a3utvz	439	1	Now	now	RB
cord-348010-m3a3utvz	439	2	we	-PRON-	PRP
cord-348010-m3a3utvz	439	3	consider	consider	VBP
cord-348010-m3a3utvz	439	4	two	two	CD
cord-348010-m3a3utvz	439	5	special	special	JJ
cord-348010-m3a3utvz	439	6	cases	case	NNS
cord-348010-m3a3utvz	439	7	for	for	IN
cord-348010-m3a3utvz	439	8	.	.	.
cord-348010-m3a3utvz	440	1	Exponentially	exponentially	RB
cord-348010-m3a3utvz	440	2	decaying	decay	VBG
cord-348010-m3a3utvz	440	3	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	440	4	.	.	.
cord-348010-m3a3utvz	441	1	Now	now	RB
cord-348010-m3a3utvz	441	2	we	-PRON-	PRP
cord-348010-m3a3utvz	441	3	assume	assume	VBP
cord-348010-m3a3utvz	441	4	From	from	IN
cord-348010-m3a3utvz	441	5	condition	condition	NN
cord-348010-m3a3utvz	441	6	(	(	-LRB-
cord-348010-m3a3utvz	441	7	2.21	2.21	CD
cord-348010-m3a3utvz	441	8	)	)	-RRB-
cord-348010-m3a3utvz	441	9	there	there	EX
cord-348010-m3a3utvz	441	10	follows	follow	VBZ
cord-348010-m3a3utvz	441	11	As	as	IN
cord-348010-m3a3utvz	441	12	it	-PRON-	PRP
cord-348010-m3a3utvz	441	13	has	have	VBZ
cord-348010-m3a3utvz	441	14	been	be	VBN
cord-348010-m3a3utvz	441	15	mentioned	mention	VBN
cord-348010-m3a3utvz	441	16	above	above	RB
cord-348010-m3a3utvz	441	17	,	,	,
cord-348010-m3a3utvz	441	18	is	be	VBZ
cord-348010-m3a3utvz	441	19	the	the	DT
cord-348010-m3a3utvz	441	20	reciprocal	reciprocal	JJ
cord-348010-m3a3utvz	441	21	mean	mean	JJ
cord-348010-m3a3utvz	441	22	duration	duration	NN
cord-348010-m3a3utvz	441	23	of	of	IN
cord-348010-m3a3utvz	441	24	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	441	25	=	=	NFP
cord-348010-m3a3utvz	441	26	.	.	.
cord-348010-m3a3utvz	442	1	In	in	IN
cord-348010-m3a3utvz	442	2	[	[	-LRB-
cord-348010-m3a3utvz	442	3	15	15	CD
cord-348010-m3a3utvz	442	4	]	]	-RRB-
cord-348010-m3a3utvz	442	5	,	,	,
cord-348010-m3a3utvz	442	6	it	-PRON-	PRP
cord-348010-m3a3utvz	442	7	was	be	VBD
cord-348010-m3a3utvz	442	8	proved	prove	VBN
cord-348010-m3a3utvz	442	9	that	that	IN
cord-348010-m3a3utvz	442	10	under	under	IN
cord-348010-m3a3utvz	442	11	assumption	assumption	NN
cord-348010-m3a3utvz	442	12	(	(	-LRB-
cord-348010-m3a3utvz	442	13	2.23	2.23	CD
cord-348010-m3a3utvz	442	14	)	)	-RRB-
cord-348010-m3a3utvz	442	15	the	the	DT
cord-348010-m3a3utvz	442	16	integral	integral	JJ
cord-348010-m3a3utvz	442	17	approach	approach	NN
cord-348010-m3a3utvz	442	18	in	in	IN
cord-348010-m3a3utvz	442	19	(	(	-LRB-
cord-348010-m3a3utvz	442	20	2.22	2.22	CD
cord-348010-m3a3utvz	442	21	)	)	-RRB-
cord-348010-m3a3utvz	442	22	is	be	VBZ
cord-348010-m3a3utvz	442	23	equivalent	equivalent	JJ
cord-348010-m3a3utvz	442	24	to	to	IN
cord-348010-m3a3utvz	442	25	the	the	DT
cord-348010-m3a3utvz	442	26	one	one	CD
cord-348010-m3a3utvz	442	27	with	with	IN
cord-348010-m3a3utvz	442	28	differential	differential	JJ
cord-348010-m3a3utvz	442	29	equation	equation	NN
cord-348010-m3a3utvz	442	30	(	(	-LRB-
cord-348010-m3a3utvz	442	31	2.8	2.8	CD
cord-348010-m3a3utvz	442	32	)	)	-RRB-
cord-348010-m3a3utvz	442	33	.	.	.
cord-348010-m3a3utvz	443	1	A	a	DT
cord-348010-m3a3utvz	443	2	probability	probability	NN
cord-348010-m3a3utvz	443	3	tending	tend	VBG
cord-348010-m3a3utvz	443	4	to	to	IN
cord-348010-m3a3utvz	443	5	zero	zero	CD
cord-348010-m3a3utvz	443	6	causes	cause	NNS
cord-348010-m3a3utvz	443	7	a	a	DT
cord-348010-m3a3utvz	443	8	decay	decay	NN
cord-348010-m3a3utvz	443	9	of	of	IN
cord-348010-m3a3utvz	443	10	infective	infective	JJ
cord-348010-m3a3utvz	443	11	individuals	individual	NNS
cord-348010-m3a3utvz	443	12	.	.	.
cord-348010-m3a3utvz	444	1	Infectivity	infectivity	NN
cord-348010-m3a3utvz	444	2	of	of	IN
cord-348010-m3a3utvz	444	3	equal	equal	JJ
cord-348010-m3a3utvz	444	4	duration	duration	NN
cord-348010-m3a3utvz	444	5	.	.	.
cord-348010-m3a3utvz	445	1	Now	now	RB
cord-348010-m3a3utvz	445	2	it	-PRON-	PRP
cord-348010-m3a3utvz	445	3	is	be	VBZ
cord-348010-m3a3utvz	445	4	assumed	assume	VBN
cord-348010-m3a3utvz	445	5	that	that	IN
cord-348010-m3a3utvz	445	6	the	the	DT
cord-348010-m3a3utvz	445	7	common	common	JJ
cord-348010-m3a3utvz	445	8	duration	duration	NN
cord-348010-m3a3utvz	445	9	of	of	IN
cord-348010-m3a3utvz	445	10	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	445	11	for	for	IN
cord-348010-m3a3utvz	445	12	all	all	DT
cord-348010-m3a3utvz	445	13	infective	infective	JJ
cord-348010-m3a3utvz	445	14	persons	person	NNS
cord-348010-m3a3utvz	445	15	amounts	amount	VBZ
cord-348010-m3a3utvz	445	16	to	to	IN
cord-348010-m3a3utvz	445	17	0	0	CD
cord-348010-m3a3utvz	446	1	<	<	XX
cord-348010-m3a3utvz	446	2	<	<	XX
cord-348010-m3a3utvz	446	3	∞.	∞.	NNP
cord-348010-m3a3utvz	447	1	This	this	DT
cord-348010-m3a3utvz	447	2	corresponds	correspond	VBZ
cord-348010-m3a3utvz	447	3	to	to	IN
cord-348010-m3a3utvz	447	4	the	the	DT
cord-348010-m3a3utvz	447	5	function	function	NN
cord-348010-m3a3utvz	447	6	referred	refer	VBN
cord-348010-m3a3utvz	447	7	to	to	IN
cord-348010-m3a3utvz	447	8	 	 	_SP
cord-348010-m3a3utvz	447	9	for	for	IN
cord-348010-m3a3utvz	447	10	>	>	XX
cord-348010-m3a3utvz	447	11	.	.	.
cord-348010-m3a3utvz	448	1	(	(	-LRB-
cord-348010-m3a3utvz	448	2	2.26	2.26	CD
cord-348010-m3a3utvz	448	3	)	)	-RRB-
cord-348010-m3a3utvz	449	1	These	these	DT
cord-348010-m3a3utvz	449	2	two	two	CD
cord-348010-m3a3utvz	449	3	integral	integral	JJ
cord-348010-m3a3utvz	449	4	equations	equation	NNS
cord-348010-m3a3utvz	449	5	are	be	VBP
cord-348010-m3a3utvz	449	6	equivalent	equivalent	JJ
cord-348010-m3a3utvz	449	7	to	to	IN
cord-348010-m3a3utvz	449	8	an	an	DT
cord-348010-m3a3utvz	449	9	initial	initial	JJ
cord-348010-m3a3utvz	449	10	-	-	HYPH
cord-348010-m3a3utvz	449	11	value	value	NN
cord-348010-m3a3utvz	449	12	problem	problem	NN
cord-348010-m3a3utvz	449	13	for	for	IN
cord-348010-m3a3utvz	449	14	a	a	DT
cord-348010-m3a3utvz	449	15	differential	differential	JJ
cord-348010-m3a3utvz	449	16	equation	equation	NN
cord-348010-m3a3utvz	449	17	as	as	RB
cord-348010-m3a3utvz	449	18	well	well	RB
cord-348010-m3a3utvz	449	19	as	as	IN
cord-348010-m3a3utvz	449	20	to	to	IN
cord-348010-m3a3utvz	449	21	an	an	DT
cord-348010-m3a3utvz	449	22	initialvalue	initialvalue	NN
cord-348010-m3a3utvz	449	23	problem	problem	NN
cord-348010-m3a3utvz	449	24	for	for	IN
cord-348010-m3a3utvz	449	25	a	a	DT
cord-348010-m3a3utvz	449	26	differential	differential	JJ
cord-348010-m3a3utvz	449	27	equation	equation	NN
cord-348010-m3a3utvz	449	28	with	with	IN
cord-348010-m3a3utvz	449	29	delay	delay	NN
cord-348010-m3a3utvz	449	30	,	,	,
cord-348010-m3a3utvz	449	31	more	more	RBR
cord-348010-m3a3utvz	449	32	preciously	preciously	RB
cord-348010-m3a3utvz	449	33	to	to	IN
cord-348010-m3a3utvz	449	34	the	the	DT
cord-348010-m3a3utvz	449	35	probleṁ	probleṁ	NN
cord-348010-m3a3utvz	449	36	Here	here	RB
cord-348010-m3a3utvz	449	37	,	,	,
cord-348010-m3a3utvz	449	38	is	be	VBZ
cord-348010-m3a3utvz	449	39	the	the	DT
cord-348010-m3a3utvz	449	40	solution	solution	NN
cord-348010-m3a3utvz	449	41	of	of	IN
cord-348010-m3a3utvz	449	42	problem	problem	NN
cord-348010-m3a3utvz	449	43	(	(	-LRB-
cord-348010-m3a3utvz	449	44	2.27	2.27	CD
cord-348010-m3a3utvz	449	45	)	)	-RRB-
cord-348010-m3a3utvz	449	46	.	.	.
cord-348010-m3a3utvz	450	1	In	in	IN
cord-348010-m3a3utvz	450	2	order	order	NN
cord-348010-m3a3utvz	450	3	to	to	TO
cord-348010-m3a3utvz	450	4	avoid	avoid	VB
cord-348010-m3a3utvz	450	5	a	a	DT
cord-348010-m3a3utvz	450	6	jump	jump	NN
cord-348010-m3a3utvz	450	7	function	function	NN
cord-348010-m3a3utvz	450	8	regularisations	regularisation	NNS
cord-348010-m3a3utvz	450	9	can	can	MD
cord-348010-m3a3utvz	450	10	be	be	VB
cord-348010-m3a3utvz	450	11	used	use	VBN
cord-348010-m3a3utvz	450	12	(	(	-LRB-
cord-348010-m3a3utvz	450	13	see	see	VB
cord-348010-m3a3utvz	450	14	Remark	Remark	NNP
cord-348010-m3a3utvz	450	15	2.7	2.7	CD
cord-348010-m3a3utvz	450	16	(	(	-LRB-
cord-348010-m3a3utvz	450	17	iii	iii	NN
cord-348010-m3a3utvz	450	18	)	)	-RRB-
cord-348010-m3a3utvz	450	19	)	)	-RRB-
cord-348010-m3a3utvz	450	20	.	.	.
cord-348010-m3a3utvz	451	1	If	if	IN
cord-348010-m3a3utvz	451	2	0	0	CD
cord-348010-m3a3utvz	451	3	=	=	SYM
cord-348010-m3a3utvz	451	4	0	0	CD
cord-348010-m3a3utvz	451	5	,	,	,
cord-348010-m3a3utvz	451	6	than	than	IN
cord-348010-m3a3utvz	451	7	is	be	VBZ
cord-348010-m3a3utvz	451	8	also	also	RB
cord-348010-m3a3utvz	451	9	continuous	continuous	JJ
cord-348010-m3a3utvz	451	10	in	in	IN
cord-348010-m3a3utvz	451	11	=	=	SYM
cord-348010-m3a3utvz	451	12	,	,	,
cord-348010-m3a3utvz	451	13	however	however	RB
cord-348010-m3a3utvz	451	14	,	,	,
cord-348010-m3a3utvz	451	15	it	-PRON-	PRP
cord-348010-m3a3utvz	451	16	is	be	VBZ
cord-348010-m3a3utvz	451	17	identically	identically	RB
cord-348010-m3a3utvz	451	18	zero	zero	CD
cord-348010-m3a3utvz	451	19	.	.	.
cord-348010-m3a3utvz	452	1	We	-PRON-	PRP
cord-348010-m3a3utvz	452	2	close	close	VBP
cord-348010-m3a3utvz	452	3	this	this	DT
cord-348010-m3a3utvz	452	4	paragraph	paragraph	NN
cord-348010-m3a3utvz	452	5	with	with	IN
cord-348010-m3a3utvz	452	6	additional	additional	JJ
cord-348010-m3a3utvz	452	7	remarks	remark	NNS
cord-348010-m3a3utvz	452	8	.	.	.
cord-348010-m3a3utvz	453	1	Remarks	remark	NNS
cord-348010-m3a3utvz	453	2	2.7	2.7	CD
cord-348010-m3a3utvz	453	3	.	.	.
cord-348010-m3a3utvz	454	1	(	(	-LRB-
cord-348010-m3a3utvz	454	2	i	i	NN
cord-348010-m3a3utvz	454	3	)	)	-RRB-
cord-348010-m3a3utvz	455	1	The	the	DT
cord-348010-m3a3utvz	455	2	case	case	NN
cord-348010-m3a3utvz	455	3	of	of	IN
cord-348010-m3a3utvz	455	4	a	a	DT
cord-348010-m3a3utvz	455	5	delayed	delay	VBN
cord-348010-m3a3utvz	455	6	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	455	7	of	of	IN
cord-348010-m3a3utvz	455	8	infected	infected	JJ
cord-348010-m3a3utvz	455	9	persons	person	NNS
cord-348010-m3a3utvz	455	10	has	have	VBZ
cord-348010-m3a3utvz	455	11	not	not	RB
cord-348010-m3a3utvz	455	12	been	be	VBN
cord-348010-m3a3utvz	455	13	considered	consider	VBN
cord-348010-m3a3utvz	455	14	in	in	IN
cord-348010-m3a3utvz	455	15	this	this	DT
cord-348010-m3a3utvz	455	16	paragraph	paragraph	NN
cord-348010-m3a3utvz	455	17	.	.	.
cord-348010-m3a3utvz	456	1	Two	two	CD
cord-348010-m3a3utvz	456	2	possibilities	possibility	NNS
cord-348010-m3a3utvz	456	3	may	may	MD
cord-348010-m3a3utvz	456	4	be	be	VB
cord-348010-m3a3utvz	456	5	offered	offer	VBN
cord-348010-m3a3utvz	456	6	.	.	.
cord-348010-m3a3utvz	457	1	At	at	IN
cord-348010-m3a3utvz	457	2	first	first	RB
cord-348010-m3a3utvz	457	3	,	,	,
cord-348010-m3a3utvz	457	4	one	one	PRP
cord-348010-m3a3utvz	457	5	can	can	MD
cord-348010-m3a3utvz	457	6	introduce	introduce	VB
cord-348010-m3a3utvz	457	7	a	a	DT
cord-348010-m3a3utvz	457	8	further	further	JJ
cord-348010-m3a3utvz	457	9	class	class	NN
cord-348010-m3a3utvz	457	10	of	of	IN
cord-348010-m3a3utvz	457	11	already	already	RB
cord-348010-m3a3utvz	457	12	infected	infect	VBN
cord-348010-m3a3utvz	457	13	persons	person	NNS
cord-348010-m3a3utvz	457	14	who	who	WP
cord-348010-m3a3utvz	457	15	can	can	MD
cord-348010-m3a3utvz	457	16	not	not	RB
cord-348010-m3a3utvz	457	17	yet	yet	RB
cord-348010-m3a3utvz	457	18	infect	infect	VB
cord-348010-m3a3utvz	457	19	others	other	NNS
cord-348010-m3a3utvz	457	20	(	(	-LRB-
cord-348010-m3a3utvz	457	21	see	see	VB
cord-348010-m3a3utvz	457	22	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	457	23	2.1.5	2.1.5	CD
cord-348010-m3a3utvz	457	24	)	)	-RRB-
cord-348010-m3a3utvz	457	25	.	.	.
cord-348010-m3a3utvz	458	1	The	the	DT
cord-348010-m3a3utvz	458	2	further	further	JJ
cord-348010-m3a3utvz	458	3	procedure	procedure	NN
cord-348010-m3a3utvz	458	4	is	be	VBZ
cord-348010-m3a3utvz	458	5	analogous	analogous	JJ
cord-348010-m3a3utvz	458	6	,	,	,
cord-348010-m3a3utvz	458	7	a	a	DT
cord-348010-m3a3utvz	458	8	probability	probability	NN
cord-348010-m3a3utvz	458	9	has	have	VBZ
cord-348010-m3a3utvz	458	10	to	to	TO
cord-348010-m3a3utvz	458	11	be	be	VB
cord-348010-m3a3utvz	458	12	defined	define	VBN
cord-348010-m3a3utvz	458	13	which	which	WDT
cord-348010-m3a3utvz	458	14	determines	determine	VBZ
cord-348010-m3a3utvz	458	15	how	how	WRB
cord-348010-m3a3utvz	458	16	long	long	JJ
cord-348010-m3a3utvz	458	17	an	an	DT
cord-348010-m3a3utvz	458	18	individual	individual	NN
cord-348010-m3a3utvz	458	19	in	in	IN
cord-348010-m3a3utvz	458	20	is	be	VBZ
cord-348010-m3a3utvz	458	21	not	not	RB
cord-348010-m3a3utvz	458	22	yet	yet	RB
cord-348010-m3a3utvz	458	23	infectious	infectious	JJ
cord-348010-m3a3utvz	458	24	.	.	.
cord-348010-m3a3utvz	459	1	Another	another	DT
cord-348010-m3a3utvz	459	2	possibility	possibility	NN
cord-348010-m3a3utvz	459	3	would	would	MD
cord-348010-m3a3utvz	459	4	be	be	VB
cord-348010-m3a3utvz	459	5	to	to	TO
cord-348010-m3a3utvz	459	6	continue	continue	VB
cord-348010-m3a3utvz	459	7	with	with	IN
cord-348010-m3a3utvz	459	8	the	the	DT
cord-348010-m3a3utvz	459	9	class	class	NN
cord-348010-m3a3utvz	459	10	as	as	IN
cord-348010-m3a3utvz	459	11	before	before	RB
cord-348010-m3a3utvz	459	12	and	and	CC
cord-348010-m3a3utvz	459	13	define	define	VB
cord-348010-m3a3utvz	459	14	the	the	DT
cord-348010-m3a3utvz	459	15	function	function	NN
cord-348010-m3a3utvz	459	16	differently	differently	RB
cord-348010-m3a3utvz	459	17	from	from	IN
cord-348010-m3a3utvz	459	18	(	(	-LRB-
cord-348010-m3a3utvz	459	19	2.20	2.20	CD
cord-348010-m3a3utvz	459	20	)	)	-RRB-
cord-348010-m3a3utvz	459	21	,	,	,
cord-348010-m3a3utvz	459	22	setting	set	VBG
cord-348010-m3a3utvz	459	23	it	-PRON-	PRP
cord-348010-m3a3utvz	459	24	zero	zero	CD
cord-348010-m3a3utvz	459	25	at	at	IN
cord-348010-m3a3utvz	459	26	some	some	DT
cord-348010-m3a3utvz	459	27	initial	initial	JJ
cord-348010-m3a3utvz	459	28	time	time	NN
cord-348010-m3a3utvz	459	29	interval	interval	NN
cord-348010-m3a3utvz	459	30	.	.	.
cord-348010-m3a3utvz	460	1	Of	of	RB
cord-348010-m3a3utvz	460	2	course	course	RB
cord-348010-m3a3utvz	460	3	,	,	,
cord-348010-m3a3utvz	460	4	this	this	DT
cord-348010-m3a3utvz	460	5	violates	violate	VBZ
cord-348010-m3a3utvz	460	6	the	the	DT
cord-348010-m3a3utvz	460	7	monotony	monotony	NN
cord-348010-m3a3utvz	460	8	condition	condition	NN
cord-348010-m3a3utvz	460	9	in	in	IN
cord-348010-m3a3utvz	460	10	(	(	-LRB-
cord-348010-m3a3utvz	460	11	2.20	2.20	CD
cord-348010-m3a3utvz	460	12	)	)	-RRB-
cord-348010-m3a3utvz	460	13	.	.	.
cord-348010-m3a3utvz	461	1	Moreover	moreover	RB
cord-348010-m3a3utvz	461	2	,	,	,
cord-348010-m3a3utvz	461	3	it	-PRON-	PRP
cord-348010-m3a3utvz	461	4	is	be	VBZ
cord-348010-m3a3utvz	461	5	not	not	RB
cord-348010-m3a3utvz	461	6	clear	clear	JJ
cord-348010-m3a3utvz	461	7	,	,	,
cord-348010-m3a3utvz	461	8	whether	whether	IN
cord-348010-m3a3utvz	461	9	the	the	DT
cord-348010-m3a3utvz	461	10	mathematical	mathematical	JJ
cord-348010-m3a3utvz	461	11	results	result	NNS
cord-348010-m3a3utvz	461	12	in	in	IN
cord-348010-m3a3utvz	461	13	[	[	-LRB-
cord-348010-m3a3utvz	461	14	32	32	CD
cord-348010-m3a3utvz	461	15	,	,	,
cord-348010-m3a3utvz	461	16	33	33	CD
cord-348010-m3a3utvz	461	17	]	]	-RRB-
cord-348010-m3a3utvz	461	18	can	can	MD
cord-348010-m3a3utvz	461	19	be	be	VB
cord-348010-m3a3utvz	461	20	extended	extend	VBN
cord-348010-m3a3utvz	461	21	to	to	IN
cord-348010-m3a3utvz	461	22	this	this	DT
cord-348010-m3a3utvz	461	23	case	case	NN
cord-348010-m3a3utvz	461	24	.	.	.
cord-348010-m3a3utvz	462	1	(	(	-LRB-
cord-348010-m3a3utvz	462	2	ii	ii	NN
cord-348010-m3a3utvz	462	3	)	)	-RRB-
cord-348010-m3a3utvz	462	4	Cases	case	NNS
cord-348010-m3a3utvz	462	5	of	of	IN
cord-348010-m3a3utvz	462	6	death	death	NN
cord-348010-m3a3utvz	462	7	caused	cause	VBN
cord-348010-m3a3utvz	462	8	by	by	IN
cord-348010-m3a3utvz	462	9	disease	disease	NN
cord-348010-m3a3utvz	462	10	or	or	CC
cord-348010-m3a3utvz	462	11	not	not	RB
cord-348010-m3a3utvz	462	12	can	can	MD
cord-348010-m3a3utvz	462	13	be	be	VB
cord-348010-m3a3utvz	462	14	taken	take	VBN
cord-348010-m3a3utvz	462	15	into	into	IN
cord-348010-m3a3utvz	462	16	account	account	NN
cord-348010-m3a3utvz	462	17	by	by	IN
cord-348010-m3a3utvz	462	18	additional	additional	JJ
cord-348010-m3a3utvz	462	19	exponential	exponential	JJ
cord-348010-m3a3utvz	462	20	terms	term	NNS
cord-348010-m3a3utvz	462	21	within	within	IN
cord-348010-m3a3utvz	462	22	the	the	DT
cord-348010-m3a3utvz	462	23	integral	integral	JJ
cord-348010-m3a3utvz	462	24	equations	equation	NNS
cord-348010-m3a3utvz	462	25	for	for	IN
cord-348010-m3a3utvz	462	26	,	,	,
cord-348010-m3a3utvz	462	27	see	see	VB
cord-348010-m3a3utvz	462	28	[	[	-LRB-
cord-348010-m3a3utvz	462	29	32	32	CD
cord-348010-m3a3utvz	462	30	,	,	,
cord-348010-m3a3utvz	462	31	33	33	CD
cord-348010-m3a3utvz	462	32	]	]	-RRB-
cord-348010-m3a3utvz	462	33	.	.	.
cord-348010-m3a3utvz	463	1	(	(	-LRB-
cord-348010-m3a3utvz	463	2	2	2	CD
cord-348010-m3a3utvz	463	3	.	.	.
cord-348010-m3a3utvz	463	4	30	30	CD
cord-348010-m3a3utvz	463	5	)	)	-RRB-
cord-348010-m3a3utvz	463	6	with	with	IN
cord-348010-m3a3utvz	463	7	some	some	DT
cord-348010-m3a3utvz	463	8	0	0	CD
cord-348010-m3a3utvz	463	9	<	<	XX
cord-348010-m3a3utvz	463	10	<	<	XX
cord-348010-m3a3utvz	463	11	.	.	.
cord-348010-m3a3utvz	464	1	Up	up	IN
cord-348010-m3a3utvz	464	2	to	to	TO
cord-348010-m3a3utvz	464	3	=	=	SYM
cord-348010-m3a3utvz	464	4	−	−	XX
cord-348010-m3a3utvz	465	1	all	all	DT
cord-348010-m3a3utvz	465	2	infected	infect	VBN
cord-348010-m3a3utvz	465	3	individuals	individual	NNS
cord-348010-m3a3utvz	465	4	are	be	VBP
cord-348010-m3a3utvz	465	5	infectious	infectious	JJ
cord-348010-m3a3utvz	465	6	,	,	,
cord-348010-m3a3utvz	465	7	from	from	IN
cord-348010-m3a3utvz	465	8	=	=	NFP
cord-348010-m3a3utvz	466	1	+	+	CC
cord-348010-m3a3utvz	466	2	nobody	nobody	NN
cord-348010-m3a3utvz	466	3	is	be	VBZ
cord-348010-m3a3utvz	466	4	else	else	RB
cord-348010-m3a3utvz	466	5	infectious	infectious	JJ
cord-348010-m3a3utvz	466	6	.	.	.
cord-348010-m3a3utvz	467	1	Between	between	IN
cord-348010-m3a3utvz	467	2	these	these	DT
cord-348010-m3a3utvz	467	3	points	point	NNS
cord-348010-m3a3utvz	467	4	in	in	IN
cord-348010-m3a3utvz	467	5	time	time	NN
cord-348010-m3a3utvz	467	6	,	,	,
cord-348010-m3a3utvz	467	7	there	there	EX
cord-348010-m3a3utvz	467	8	is	be	VBZ
cord-348010-m3a3utvz	467	9	a	a	DT
cord-348010-m3a3utvz	467	10	linear	linear	JJ
cord-348010-m3a3utvz	467	11	decay	decay	NN
cord-348010-m3a3utvz	467	12	of	of	IN
cord-348010-m3a3utvz	467	13	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	467	14	.	.	.
cord-348010-m3a3utvz	468	1	(	(	-LRB-
cord-348010-m3a3utvz	468	2	iv	iv	LS
cord-348010-m3a3utvz	468	3	)	)	-RRB-
cord-348010-m3a3utvz	469	1	In	in	IN
cord-348010-m3a3utvz	469	2	[	[	-LRB-
cord-348010-m3a3utvz	469	3	33	33	CD
cord-348010-m3a3utvz	469	4	]	]	-RRB-
cord-348010-m3a3utvz	469	5	,	,	,
cord-348010-m3a3utvz	469	6	the	the	DT
cord-348010-m3a3utvz	469	7	presentation	presentation	NN
cord-348010-m3a3utvz	469	8	is	be	VBZ
cord-348010-m3a3utvz	469	9	more	more	RBR
cord-348010-m3a3utvz	469	10	general	general	JJ
cord-348010-m3a3utvz	469	11	as	as	IN
cord-348010-m3a3utvz	469	12	in	in	IN
cord-348010-m3a3utvz	469	13	our	-PRON-	PRP$
cord-348010-m3a3utvz	469	14	study	study	NN
cord-348010-m3a3utvz	469	15	,	,	,
cord-348010-m3a3utvz	469	16	and	and	CC
cord-348010-m3a3utvz	469	17	mathematical	mathematical	JJ
cord-348010-m3a3utvz	469	18	results	result	NNS
cord-348010-m3a3utvz	469	19	are	be	VBP
cord-348010-m3a3utvz	469	20	presented	present	VBN
cord-348010-m3a3utvz	469	21	.	.	.
cord-348010-m3a3utvz	470	1	After	after	IN
cord-348010-m3a3utvz	470	2	dealing	deal	VBG
cord-348010-m3a3utvz	470	3	with	with	IN
cord-348010-m3a3utvz	470	4	equations	equation	NNS
cord-348010-m3a3utvz	470	5	for	for	IN
cord-348010-m3a3utvz	470	6	the	the	DT
cord-348010-m3a3utvz	470	7	class	class	NN
cord-348010-m3a3utvz	470	8	of	of	IN
cord-348010-m3a3utvz	470	9	infectious	infectious	JJ
cord-348010-m3a3utvz	470	10	infected	infected	JJ
cord-348010-m3a3utvz	470	11	persons	person	NNS
cord-348010-m3a3utvz	470	12	,	,	,
cord-348010-m3a3utvz	470	13	it	-PRON-	PRP
cord-348010-m3a3utvz	470	14	is	be	VBZ
cord-348010-m3a3utvz	470	15	now	now	RB
cord-348010-m3a3utvz	470	16	the	the	DT
cord-348010-m3a3utvz	470	17	aim	aim	NN
cord-348010-m3a3utvz	470	18	to	to	TO
cord-348010-m3a3utvz	470	19	add	add	VB
cord-348010-m3a3utvz	470	20	further	further	JJ
cord-348010-m3a3utvz	470	21	equations	equation	NNS
cord-348010-m3a3utvz	470	22	for	for	IN
cord-348010-m3a3utvz	470	23	remaining	remain	VBG
cord-348010-m3a3utvz	470	24	classes	class	NNS
cord-348010-m3a3utvz	470	25	like	like	IN
cord-348010-m3a3utvz	470	26	,	,	,
cord-348010-m3a3utvz	470	27	and	and	CC
cord-348010-m3a3utvz	470	28	.	.	.
cord-348010-m3a3utvz	471	1	As	as	IN
cord-348010-m3a3utvz	471	2	a	a	DT
cord-348010-m3a3utvz	471	3	result	result	NN
cord-348010-m3a3utvz	471	4	,	,	,
cord-348010-m3a3utvz	471	5	we	-PRON-	PRP
cord-348010-m3a3utvz	471	6	get	get	VBP
cord-348010-m3a3utvz	471	7	complete	complete	JJ
cord-348010-m3a3utvz	471	8	models	model	NNS
cord-348010-m3a3utvz	471	9	suitable	suitable	JJ
cord-348010-m3a3utvz	471	10	for	for	IN
cord-348010-m3a3utvz	471	11	several	several	JJ
cord-348010-m3a3utvz	471	12	kinds	kind	NNS
cord-348010-m3a3utvz	471	13	of	of	IN
cord-348010-m3a3utvz	471	14	infection	infection	NN
cord-348010-m3a3utvz	471	15	courses	course	NNS
cord-348010-m3a3utvz	471	16	.	.	.
cord-348010-m3a3utvz	472	1	In	in	IN
cord-348010-m3a3utvz	472	2	this	this	DT
cord-348010-m3a3utvz	472	3	Section	section	NN
cord-348010-m3a3utvz	472	4	2.3	2.3	CD
cord-348010-m3a3utvz	472	5	,	,	,
cord-348010-m3a3utvz	472	6	the	the	DT
cord-348010-m3a3utvz	472	7	focus	focus	NN
cord-348010-m3a3utvz	472	8	lies	lie	VBZ
cord-348010-m3a3utvz	472	9	on	on	IN
cord-348010-m3a3utvz	472	10	development	development	NN
cord-348010-m3a3utvz	472	11	and	and	CC
cord-348010-m3a3utvz	472	12	reasoning	reasoning	NN
cord-348010-m3a3utvz	472	13	of	of	IN
cord-348010-m3a3utvz	472	14	models	model	NNS
cord-348010-m3a3utvz	472	15	.	.	.
cord-348010-m3a3utvz	473	1	In	in	IN
cord-348010-m3a3utvz	473	2	connection	connection	NN
cord-348010-m3a3utvz	473	3	with	with	IN
cord-348010-m3a3utvz	473	4	mathematical	mathematical	JJ
cord-348010-m3a3utvz	473	5	investigations	investigation	NNS
cord-348010-m3a3utvz	473	6	in	in	IN
cord-348010-m3a3utvz	473	7	Section	section	NN
cord-348010-m3a3utvz	473	8	4	4	CD
cord-348010-m3a3utvz	473	9	the	the	DT
cord-348010-m3a3utvz	473	10	needed	need	VBN
cord-348010-m3a3utvz	473	11	equations	equation	NNS
cord-348010-m3a3utvz	473	12	will	will	MD
cord-348010-m3a3utvz	473	13	be	be	VB
cord-348010-m3a3utvz	473	14	presented	present	VBN
cord-348010-m3a3utvz	473	15	in	in	IN
cord-348010-m3a3utvz	473	16	a	a	DT
cord-348010-m3a3utvz	473	17	compact	compact	JJ
cord-348010-m3a3utvz	473	18	way	way	NN
cord-348010-m3a3utvz	473	19	as	as	RB
cord-348010-m3a3utvz	473	20	well	well	RB
cord-348010-m3a3utvz	473	21	as	as	IN
cord-348010-m3a3utvz	473	22	completed	complete	VBN
cord-348010-m3a3utvz	473	23	with	with	IN
cord-348010-m3a3utvz	473	24	initial	initial	JJ
cord-348010-m3a3utvz	473	25	and	and	CC
cord-348010-m3a3utvz	473	26	other	other	JJ
cord-348010-m3a3utvz	473	27	conditions	condition	NNS
cord-348010-m3a3utvz	473	28	.	.	.
cord-348010-m3a3utvz	474	1	In	in	IN
cord-348010-m3a3utvz	474	2	this	this	DT
cord-348010-m3a3utvz	474	3	paragraph	paragraph	NN
cord-348010-m3a3utvz	474	4	we	-PRON-	PRP
cord-348010-m3a3utvz	474	5	consider	consider	VBP
cord-348010-m3a3utvz	474	6	only	only	RB
cord-348010-m3a3utvz	474	7	models	model	NNS
cord-348010-m3a3utvz	474	8	described	describe	VBN
cord-348010-m3a3utvz	474	9	with	with	IN
cord-348010-m3a3utvz	474	10	the	the	DT
cord-348010-m3a3utvz	474	11	two	two	CD
cord-348010-m3a3utvz	474	12	classes	class	NNS
cord-348010-m3a3utvz	474	13	and	and	CC
cord-348010-m3a3utvz	474	14	.	.	.
cord-348010-m3a3utvz	475	1	Either	either	CC
cord-348010-m3a3utvz	475	2	the	the	DT
cord-348010-m3a3utvz	475	3	infected	infected	JJ
cord-348010-m3a3utvz	475	4	persons	person	NNS
cord-348010-m3a3utvz	475	5	remain	remain	VBP
cord-348010-m3a3utvz	475	6	in	in	IN
cord-348010-m3a3utvz	475	7	for	for	IN
cord-348010-m3a3utvz	475	8	all	all	DT
cord-348010-m3a3utvz	475	9	time	time	NN
cord-348010-m3a3utvz	475	10	(	(	-LRB-
cord-348010-m3a3utvz	475	11	SI	SI	NNP
cord-348010-m3a3utvz	475	12	model	model	NN
cord-348010-m3a3utvz	475	13	)	)	-RRB-
cord-348010-m3a3utvz	475	14	,	,	,
cord-348010-m3a3utvz	475	15	or	or	CC
cord-348010-m3a3utvz	475	16	they	-PRON-	PRP
cord-348010-m3a3utvz	475	17	return	return	VBP
cord-348010-m3a3utvz	475	18	to	to	IN
cord-348010-m3a3utvz	475	19	after	after	IN
cord-348010-m3a3utvz	475	20	survived	survive	VBN
cord-348010-m3a3utvz	475	21	disease	disease	NN
cord-348010-m3a3utvz	475	22	(	(	-LRB-
cord-348010-m3a3utvz	475	23	SIS	SIS	NNP
cord-348010-m3a3utvz	475	24	model	model	NN
cord-348010-m3a3utvz	475	25	)	)	-RRB-
cord-348010-m3a3utvz	475	26	.	.	.
cord-348010-m3a3utvz	476	1	Therefore	therefore	RB
cord-348010-m3a3utvz	476	2	,	,	,
cord-348010-m3a3utvz	476	3	we	-PRON-	PRP
cord-348010-m3a3utvz	476	4	need	need	VBP
cord-348010-m3a3utvz	476	5	a	a	DT
cord-348010-m3a3utvz	476	6	suitable	suitable	JJ
cord-348010-m3a3utvz	476	7	equation	equation	NN
cord-348010-m3a3utvz	476	8	for	for	IN
cord-348010-m3a3utvz	476	9	.	.	.
cord-348010-m3a3utvz	477	1	We	-PRON-	PRP
cord-348010-m3a3utvz	477	2	distinguish	distinguish	VBP
cord-348010-m3a3utvz	477	3	two	two	CD
cord-348010-m3a3utvz	477	4	basic	basic	JJ
cord-348010-m3a3utvz	477	5	cases	case	NNS
cord-348010-m3a3utvz	477	6	oriented	orient	VBN
cord-348010-m3a3utvz	477	7	to	to	IN
cord-348010-m3a3utvz	477	8	Paragraphs	paragraph	NNS
cord-348010-m3a3utvz	477	9	2.2.1	2.2.1	CD
cord-348010-m3a3utvz	477	10	and	and	CC
cord-348010-m3a3utvz	477	11	2.2.3	2.2.3	CD
cord-348010-m3a3utvz	477	12	.	.	.
cord-348010-m3a3utvz	478	1	Modelling	model	VBG
cord-348010-m3a3utvz	478	2	with	with	IN
cord-348010-m3a3utvz	478	3	differential	differential	JJ
cord-348010-m3a3utvz	478	4	equations	equation	NNS
cord-348010-m3a3utvz	478	5	.	.	.
cord-348010-m3a3utvz	479	1	Let	let	VB
cord-348010-m3a3utvz	479	2	us	-PRON-	PRP
cord-348010-m3a3utvz	479	3	suppose	suppose	VB
cord-348010-m3a3utvz	479	4	that	that	IN
cord-348010-m3a3utvz	479	5	the	the	DT
cord-348010-m3a3utvz	479	6	evolution	evolution	NN
cord-348010-m3a3utvz	479	7	of	of	IN
cord-348010-m3a3utvz	479	8	is	be	VBZ
cord-348010-m3a3utvz	479	9	given	give	VBN
cord-348010-m3a3utvz	479	10	by	by	IN
cord-348010-m3a3utvz	479	11	the	the	DT
cord-348010-m3a3utvz	479	12	differential	differential	JJ
cord-348010-m3a3utvz	479	13	equation	equation	NN
cord-348010-m3a3utvz	479	14	(	(	-LRB-
cord-348010-m3a3utvz	479	15	2.8	2.8	CD
cord-348010-m3a3utvz	479	16	)	)	-RRB-
cord-348010-m3a3utvz	479	17	.	.	.
cord-348010-m3a3utvz	480	1	Clearly	clearly	RB
cord-348010-m3a3utvz	480	2	,	,	,
cord-348010-m3a3utvz	480	3	the	the	DT
cord-348010-m3a3utvz	480	4	growth	growth	NN
cord-348010-m3a3utvz	480	5	rate	rate	NN
cord-348010-m3a3utvz	480	6	for	for	IN
cord-348010-m3a3utvz	480	7	is	be	VBZ
cord-348010-m3a3utvz	480	8	the	the	DT
cord-348010-m3a3utvz	480	9	loss	loss	NN
cord-348010-m3a3utvz	480	10	rate	rate	NN
cord-348010-m3a3utvz	480	11	for	for	IN
cord-348010-m3a3utvz	480	12	.	.	.
cord-348010-m3a3utvz	481	1	Therefore	therefore	RB
cord-348010-m3a3utvz	481	2	,	,	,
cord-348010-m3a3utvz	481	3	it	-PRON-	PRP
cord-348010-m3a3utvz	481	4	yieldṡ	yieldṡ	FW
cord-348010-m3a3utvz	481	5	Neglecting	neglect	VBG
cord-348010-m3a3utvz	481	6	birth	birth	NN
cord-348010-m3a3utvz	481	7	and	and	CC
cord-348010-m3a3utvz	481	8	death	death	NN
cord-348010-m3a3utvz	481	9	rates	rate	NNS
cord-348010-m3a3utvz	481	10	as	as	RB
cord-348010-m3a3utvz	481	11	well	well	RB
cord-348010-m3a3utvz	481	12	as	as	IN
cord-348010-m3a3utvz	481	13	migration	migration	NN
cord-348010-m3a3utvz	481	14	,	,	,
cord-348010-m3a3utvz	481	15	i.e.	i.e.	FW
cord-348010-m3a3utvz	481	16	,	,	,
cord-348010-m3a3utvz	481	17	setting	set	VBG
cord-348010-m3a3utvz	481	18	(	(	-LRB-
cord-348010-m3a3utvz	481	19	)	)	-RRB-
cord-348010-m3a3utvz	481	20	=	=	SYM
cord-348010-m3a3utvz	481	21	0	0	CD
cord-348010-m3a3utvz	481	22	=	=	SYM
cord-348010-m3a3utvz	481	23	.	.	NN
cord-348010-m3a3utvz	481	24	,	,	,
cord-348010-m3a3utvz	481	25	or	or	CC
cord-348010-m3a3utvz	481	26	assuming	assume	VBG
cord-348010-m3a3utvz	481	27	=	=	NFP
cord-348010-m3a3utvz	481	28	(	(	-LRB-
cord-348010-m3a3utvz	481	29	)	)	-RRB-
cord-348010-m3a3utvz	481	30	as	as	IN
cord-348010-m3a3utvz	481	31	given	give	VBN
cord-348010-m3a3utvz	481	32	,	,	,
cord-348010-m3a3utvz	481	33	we	-PRON-	PRP
cord-348010-m3a3utvz	481	34	get	get	VBP
cord-348010-m3a3utvz	481	35	a	a	DT
cord-348010-m3a3utvz	481	36	closed	closed	JJ
cord-348010-m3a3utvz	481	37	simple	simple	JJ
cord-348010-m3a3utvz	481	38	SIS	SIS	NNP
cord-348010-m3a3utvz	481	39	model	model	NN
cord-348010-m3a3utvz	481	40	formed	form	VBN
cord-348010-m3a3utvz	481	41	by	by	IN
cord-348010-m3a3utvz	481	42	(	(	-LRB-
cord-348010-m3a3utvz	481	43	2.8	2.8	CD
cord-348010-m3a3utvz	481	44	)	)	-RRB-
cord-348010-m3a3utvz	481	45	and	and	CC
cord-348010-m3a3utvz	481	46	(	(	-LRB-
cord-348010-m3a3utvz	481	47	2.31	2.31	CD
cord-348010-m3a3utvz	481	48	)	)	-RRB-
cord-348010-m3a3utvz	481	49	together	together	RB
cord-348010-m3a3utvz	481	50	with	with	IN
cord-348010-m3a3utvz	481	51	initial	initial	JJ
cord-348010-m3a3utvz	481	52	conditions	condition	NNS
cord-348010-m3a3utvz	481	53	for	for	IN
cord-348010-m3a3utvz	481	54	and	and	CC
cord-348010-m3a3utvz	481	55	.	.	.
cord-348010-m3a3utvz	482	1	Clearly	clearly	RB
cord-348010-m3a3utvz	482	2	,	,	,
cord-348010-m3a3utvz	482	3	for	for	IN
cord-348010-m3a3utvz	482	4	≡	≡	NN
cord-348010-m3a3utvz	482	5	0	0	NFP
cord-348010-m3a3utvz	482	6	it	-PRON-	PRP
cord-348010-m3a3utvz	482	7	turns	turn	VBZ
cord-348010-m3a3utvz	482	8	into	into	IN
cord-348010-m3a3utvz	482	9	an	an	DT
cord-348010-m3a3utvz	482	10	SI	SI	NNP
cord-348010-m3a3utvz	482	11	model	model	NN
cord-348010-m3a3utvz	482	12	.	.	.
cord-348010-m3a3utvz	483	1	For	for	IN
cord-348010-m3a3utvz	483	2	mathematical	mathematical	JJ
cord-348010-m3a3utvz	483	3	and	and	CC
cord-348010-m3a3utvz	483	4	numerical	numerical	JJ
cord-348010-m3a3utvz	483	5	investigations	investigation	NNS
cord-348010-m3a3utvz	483	6	it	-PRON-	PRP
cord-348010-m3a3utvz	483	7	is	be	VBZ
cord-348010-m3a3utvz	483	8	mostly	mostly	RB
cord-348010-m3a3utvz	483	9	sufficient	sufficient	JJ
cord-348010-m3a3utvz	483	10	to	to	TO
cord-348010-m3a3utvz	483	11	solve	solve	VB
cord-348010-m3a3utvz	483	12	only	only	RB
cord-348010-m3a3utvz	483	13	one	one	CD
cord-348010-m3a3utvz	483	14	equation	equation	NN
cord-348010-m3a3utvz	483	15	,	,	,
cord-348010-m3a3utvz	483	16	after	after	IN
cord-348010-m3a3utvz	483	17	substituting	substitute	VBG
cord-348010-m3a3utvz	483	18	in	in	IN
cord-348010-m3a3utvz	483	19	(	(	-LRB-
cord-348010-m3a3utvz	483	20	2.31	2.31	CD
cord-348010-m3a3utvz	483	21	)	)	-RRB-
cord-348010-m3a3utvz	483	22	by	by	IN
cord-348010-m3a3utvz	483	23	−	−	NNP
cord-348010-m3a3utvz	483	24	,	,	,
cord-348010-m3a3utvz	483	25	for	for	IN
cord-348010-m3a3utvz	483	26	instance	instance	NN
cord-348010-m3a3utvz	483	27	.	.	.
cord-348010-m3a3utvz	484	1	Supplement	supplement	NN
cord-348010-m3a3utvz	484	2	:	:	:
cord-348010-m3a3utvz	484	3	Modelling	modelling	NN
cord-348010-m3a3utvz	484	4	with	with	IN
cord-348010-m3a3utvz	484	5	integral	integral	JJ
cord-348010-m3a3utvz	484	6	equations	equation	NNS
cord-348010-m3a3utvz	484	7	.	.	.
cord-348010-m3a3utvz	485	1	As	as	IN
cord-348010-m3a3utvz	485	2	explained	explain	VBN
cord-348010-m3a3utvz	485	3	in	in	IN
cord-348010-m3a3utvz	485	4	Paragraphs	Paragraphs	NNP
cord-348010-m3a3utvz	485	5	2.2.3	2.2.3	CD
cord-348010-m3a3utvz	485	6	and	and	CC
cord-348010-m3a3utvz	485	7	2.2.3	2.2.3	CD
cord-348010-m3a3utvz	485	8	,	,	,
cord-348010-m3a3utvz	485	9	the	the	DT
cord-348010-m3a3utvz	485	10	approach	approach	NN
cord-348010-m3a3utvz	485	11	with	with	IN
cord-348010-m3a3utvz	485	12	a	a	DT
cord-348010-m3a3utvz	485	13	differential	differential	JJ
cord-348010-m3a3utvz	485	14	equation	equation	NN
cord-348010-m3a3utvz	485	15	for	for	IN
cord-348010-m3a3utvz	485	16	can	can	MD
cord-348010-m3a3utvz	485	17	be	be	VB
cord-348010-m3a3utvz	485	18	regarded	regard	VBN
cord-348010-m3a3utvz	485	19	as	as	IN
cord-348010-m3a3utvz	485	20	a	a	DT
cord-348010-m3a3utvz	485	21	special	special	JJ
cord-348010-m3a3utvz	485	22	case	case	NN
cord-348010-m3a3utvz	485	23	corresponding	correspond	VBG
cord-348010-m3a3utvz	485	24	to	to	IN
cord-348010-m3a3utvz	485	25	an	an	DT
cord-348010-m3a3utvz	485	26	exponentially	exponentially	RB
cord-348010-m3a3utvz	485	27	decaying	decaying	JJ
cord-348010-m3a3utvz	485	28	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	485	29	.	.	.
cord-348010-m3a3utvz	486	1	Let	let	VB
cord-348010-m3a3utvz	486	2	us	-PRON-	PRP
cord-348010-m3a3utvz	486	3	repeat	repeat	VB
cord-348010-m3a3utvz	486	4	equation	equation	NN
cord-348010-m3a3utvz	486	5	(	(	-LRB-
cord-348010-m3a3utvz	486	6	2.22	2.22	CD
cord-348010-m3a3utvz	486	7	)	)	-RRB-
cord-348010-m3a3utvz	486	8	again	again	RB
cord-348010-m3a3utvz	486	9	.	.	.
cord-348010-m3a3utvz	487	1	Since	since	IN
cord-348010-m3a3utvz	487	2	there	there	EX
cord-348010-m3a3utvz	487	3	are	be	VBP
cord-348010-m3a3utvz	487	4	only	only	RB
cord-348010-m3a3utvz	487	5	the	the	DT
cord-348010-m3a3utvz	487	6	classes	class	NNS
cord-348010-m3a3utvz	487	7	and	and	CC
cord-348010-m3a3utvz	487	8	,	,	,
cord-348010-m3a3utvz	487	9	due	due	IN
cord-348010-m3a3utvz	487	10	to	to	IN
cord-348010-m3a3utvz	487	11	(	(	-LRB-
cord-348010-m3a3utvz	487	12	)	)	-RRB-
cord-348010-m3a3utvz	487	13	=	=	NFP
cord-348010-m3a3utvz	488	1	(	(	-LRB-
cord-348010-m3a3utvz	488	2	)	)	-RRB-
cord-348010-m3a3utvz	488	3	+	+	JJ
cord-348010-m3a3utvz	488	4	(	(	-LRB-
cord-348010-m3a3utvz	488	5	)	)	-RRB-
cord-348010-m3a3utvz	488	6	it	-PRON-	PRP
cord-348010-m3a3utvz	488	7	yields	yield	VBZ
cord-348010-m3a3utvz	488	8	For	for	IN
cord-348010-m3a3utvz	488	9	≡	≡	NNP
cord-348010-m3a3utvz	488	10	1	1	CD
cord-348010-m3a3utvz	489	1	(	(	-LRB-
cord-348010-m3a3utvz	489	2	corresponds	correspond	VBZ
cord-348010-m3a3utvz	489	3	to	to	IN
cord-348010-m3a3utvz	489	4	permanent	permanent	JJ
cord-348010-m3a3utvz	489	5	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	489	6	and	and	CC
cord-348010-m3a3utvz	489	7	≡	≡	NNP
cord-348010-m3a3utvz	489	8	0	0	NFP
cord-348010-m3a3utvz	489	9	)	)	-RRB-
cord-348010-m3a3utvz	489	10	and	and	CC
cord-348010-m3a3utvz	490	1	(	(	-LRB-
cord-348010-m3a3utvz	490	2	)	)	-RRB-
cord-348010-m3a3utvz	490	3	=	=	SYM
cord-348010-m3a3utvz	490	4	0	0	NFP
cord-348010-m3a3utvz	491	1	=	=	NFP
cord-348010-m3a3utvz	491	2	.	.	.
cord-348010-m3a3utvz	492	1	the	the	DT
cord-348010-m3a3utvz	492	2	well	well	RB
cord-348010-m3a3utvz	492	3	-	-	HYPH
cord-348010-m3a3utvz	492	4	known	know	VBN
cord-348010-m3a3utvz	492	5	SI	si	NN
cord-348010-m3a3utvz	492	6	model	model	NN
cord-348010-m3a3utvz	492	7	(	(	-LRB-
cord-348010-m3a3utvz	492	8	2.8	2.8	CD
cord-348010-m3a3utvz	492	9	)	)	-RRB-
cord-348010-m3a3utvz	492	10	and	and	CC
cord-348010-m3a3utvz	492	11	(	(	-LRB-
cord-348010-m3a3utvz	492	12	2.31	2.31	CD
cord-348010-m3a3utvz	492	13	)	)	-RRB-
cord-348010-m3a3utvz	492	14	for	for	IN
cord-348010-m3a3utvz	492	15	≡	≡	NNP
cord-348010-m3a3utvz	492	16	0	0	NFP
cord-348010-m3a3utvz	492	17	easily	easily	RB
cord-348010-m3a3utvz	492	18	follows	follow	VBZ
cord-348010-m3a3utvz	492	19	by	by	IN
cord-348010-m3a3utvz	492	20	taking	take	VBG
cord-348010-m3a3utvz	492	21	the	the	DT
cord-348010-m3a3utvz	492	22	time	time	NN
cord-348010-m3a3utvz	492	23	derivative	derivative	JJ
cord-348010-m3a3utvz	492	24	.	.	.
cord-348010-m3a3utvz	493	1	In	in	IN
cord-348010-m3a3utvz	493	2	this	this	DT
cord-348010-m3a3utvz	493	3	simple	simple	JJ
cord-348010-m3a3utvz	493	4	case	case	NN
cord-348010-m3a3utvz	493	5	,	,	,
cord-348010-m3a3utvz	493	6	as	as	IN
cord-348010-m3a3utvz	493	7	a	a	DT
cord-348010-m3a3utvz	493	8	rule	rule	NN
cord-348010-m3a3utvz	493	9	,	,	,
cord-348010-m3a3utvz	493	10	the	the	DT
cord-348010-m3a3utvz	493	11	formulation	formulation	NN
cord-348010-m3a3utvz	493	12	with	with	IN
cord-348010-m3a3utvz	493	13	differential	differential	JJ
cord-348010-m3a3utvz	493	14	equations	equation	NNS
cord-348010-m3a3utvz	493	15	is	be	VBZ
cord-348010-m3a3utvz	493	16	more	more	RBR
cord-348010-m3a3utvz	493	17	convenient	convenient	JJ
cord-348010-m3a3utvz	493	18	.	.	.
cord-348010-m3a3utvz	494	1	The	the	DT
cord-348010-m3a3utvz	494	2	following	following	JJ
cord-348010-m3a3utvz	494	3	models	model	NNS
cord-348010-m3a3utvz	494	4	contain	contain	VBP
cord-348010-m3a3utvz	494	5	more	more	JJR
cord-348010-m3a3utvz	494	6	than	than	IN
cord-348010-m3a3utvz	494	7	two	two	CD
cord-348010-m3a3utvz	494	8	classes	class	NNS
cord-348010-m3a3utvz	494	9	.	.	.
cord-348010-m3a3utvz	495	1	In	in	IN
cord-348010-m3a3utvz	495	2	SIRD	SIRD	NNP
cord-348010-m3a3utvz	495	3	and	and	CC
cord-348010-m3a3utvz	495	4	SIRSD	SIRSD	NNP
cord-348010-m3a3utvz	495	5	models	model	NNS
cord-348010-m3a3utvz	495	6	,	,	,
cord-348010-m3a3utvz	495	7	the	the	DT
cord-348010-m3a3utvz	495	8	class	class	NN
cord-348010-m3a3utvz	495	9	loses	lose	VBZ
cord-348010-m3a3utvz	495	10	members	member	NNS
cord-348010-m3a3utvz	495	11	to	to	IN
cord-348010-m3a3utvz	495	12	the	the	DT
cord-348010-m3a3utvz	495	13	class	class	NN
cord-348010-m3a3utvz	495	14	of	of	IN
cord-348010-m3a3utvz	495	15	recovered	recovered	JJ
cord-348010-m3a3utvz	495	16	persons	person	NNS
cord-348010-m3a3utvz	495	17	as	as	RB
cord-348010-m3a3utvz	495	18	well	well	RB
cord-348010-m3a3utvz	495	19	as	as	IN
cord-348010-m3a3utvz	495	20	to	to	IN
cord-348010-m3a3utvz	495	21	the	the	DT
cord-348010-m3a3utvz	495	22	class	class	NN
cord-348010-m3a3utvz	495	23	of	of	IN
cord-348010-m3a3utvz	495	24	infection	infection	NN
cord-348010-m3a3utvz	495	25	-	-	HYPH
cord-348010-m3a3utvz	495	26	died	die	VBN
cord-348010-m3a3utvz	495	27	individuals	individual	NNS
cord-348010-m3a3utvz	495	28	.	.	.
cord-348010-m3a3utvz	496	1	In	in	IN
cord-348010-m3a3utvz	496	2	SEIRD	SEIRD	NNP
cord-348010-m3a3utvz	496	3	and	and	CC
cord-348010-m3a3utvz	496	4	SEIRSD	SEIRSD	NNP
cord-348010-m3a3utvz	496	5	models	model	NNS
cord-348010-m3a3utvz	496	6	,	,	,
cord-348010-m3a3utvz	496	7	there	there	EX
cord-348010-m3a3utvz	496	8	occurs	occur	VBZ
cord-348010-m3a3utvz	496	9	a	a	DT
cord-348010-m3a3utvz	496	10	special	special	JJ
cord-348010-m3a3utvz	496	11	class	class	NN
cord-348010-m3a3utvz	496	12	of	of	IN
cord-348010-m3a3utvz	496	13	already	already	RB
cord-348010-m3a3utvz	496	14	infected	infect	VBN
cord-348010-m3a3utvz	496	15	,	,	,
cord-348010-m3a3utvz	496	16	but	but	CC
cord-348010-m3a3utvz	496	17	not	not	RB
cord-348010-m3a3utvz	496	18	yet	yet	RB
cord-348010-m3a3utvz	496	19	infectious	infectious	JJ
cord-348010-m3a3utvz	496	20	persons	person	NNS
cord-348010-m3a3utvz	496	21	.	.	.
cord-348010-m3a3utvz	497	1	As	as	IN
cord-348010-m3a3utvz	497	2	a	a	DT
cord-348010-m3a3utvz	497	3	new	new	JJ
cord-348010-m3a3utvz	497	4	issue	issue	NN
cord-348010-m3a3utvz	497	5	,	,	,
cord-348010-m3a3utvz	497	6	in	in	IN
cord-348010-m3a3utvz	497	7	the	the	DT
cord-348010-m3a3utvz	497	8	denominator	denominator	NN
cord-348010-m3a3utvz	497	9	is	be	VBZ
cord-348010-m3a3utvz	497	10	substituted	substitute	VBN
cord-348010-m3a3utvz	497	11	by	by	IN
cord-348010-m3a3utvz	497	12	−	−	NNP
cord-348010-m3a3utvz	497	13	,	,	,
cord-348010-m3a3utvz	497	14	since	since	IN
cord-348010-m3a3utvz	497	15	died	die	VBN
cord-348010-m3a3utvz	497	16	persons	person	NNS
cord-348010-m3a3utvz	497	17	do	do	VBP
cord-348010-m3a3utvz	497	18	not	not	RB
cord-348010-m3a3utvz	497	19	have	have	VB
cord-348010-m3a3utvz	497	20	any	any	DT
cord-348010-m3a3utvz	497	21	contacts	contact	NNS
cord-348010-m3a3utvz	497	22	.	.	.
cord-348010-m3a3utvz	498	1	The	the	DT
cord-348010-m3a3utvz	498	2	numbers	number	NNS
cord-348010-m3a3utvz	498	3	of	of	IN
cord-348010-m3a3utvz	498	4	individuals	individual	NNS
cord-348010-m3a3utvz	498	5	in	in	IN
cord-348010-m3a3utvz	498	6	will	will	MD
cord-348010-m3a3utvz	498	7	not	not	RB
cord-348010-m3a3utvz	498	8	be	be	VB
cord-348010-m3a3utvz	498	9	subtracted	subtract	VBN
cord-348010-m3a3utvz	498	10	from	from	IN
cord-348010-m3a3utvz	498	11	.	.	.
cord-348010-m3a3utvz	499	1	Persons	person	NNS
cord-348010-m3a3utvz	499	2	from	from	IN
cord-348010-m3a3utvz	499	3	have	have	VBP
cord-348010-m3a3utvz	499	4	furthermore	furthermore	RB
cord-348010-m3a3utvz	499	5	adequate	adequate	JJ
cord-348010-m3a3utvz	499	6	contacts	contact	NNS
cord-348010-m3a3utvz	499	7	with	with	IN
cord-348010-m3a3utvz	499	8	individuals	individual	NNS
cord-348010-m3a3utvz	499	9	,	,	,
cord-348010-m3a3utvz	499	10	but	but	CC
cord-348010-m3a3utvz	499	11	these	these	DT
cord-348010-m3a3utvz	499	12	contacts	contact	NNS
cord-348010-m3a3utvz	499	13	do	do	VBP
cord-348010-m3a3utvz	499	14	not	not	RB
cord-348010-m3a3utvz	499	15	lead	lead	VB
cord-348010-m3a3utvz	499	16	to	to	IN
cord-348010-m3a3utvz	499	17	infections	infection	NNS
cord-348010-m3a3utvz	499	18	.	.	.
cord-348010-m3a3utvz	500	1	The	the	DT
cord-348010-m3a3utvz	500	2	class	class	NN
cord-348010-m3a3utvz	500	3	loses	lose	VBZ
cord-348010-m3a3utvz	500	4	members	member	NNS
cord-348010-m3a3utvz	500	5	to	to	IN
cord-348010-m3a3utvz	500	6	and	and	CC
cord-348010-m3a3utvz	500	7	to	to	TO
cord-348010-m3a3utvz	500	8	.	.	.
cord-348010-m3a3utvz	501	1	Thus	thus	RB
cord-348010-m3a3utvz	501	2	,	,	,
cord-348010-m3a3utvz	501	3	the	the	DT
cord-348010-m3a3utvz	501	4	equation	equation	NN
cord-348010-m3a3utvz	501	5	(	(	-LRB-
cord-348010-m3a3utvz	501	6	2.8	2.8	CD
cord-348010-m3a3utvz	501	7	)	)	-RRB-
cord-348010-m3a3utvz	501	8	must	must	MD
cord-348010-m3a3utvz	501	9	be	be	VB
cord-348010-m3a3utvz	501	10	changed	change	VBN
cord-348010-m3a3utvz	501	11	:	:	:
cord-348010-m3a3utvz	501	12	Again	again	RB
cord-348010-m3a3utvz	501	13	,	,	,
cord-348010-m3a3utvz	501	14	>	>	XX
cord-348010-m3a3utvz	501	15	0	0	CD
cord-348010-m3a3utvz	501	16	,	,	,
cord-348010-m3a3utvz	501	17	and	and	CC
cord-348010-m3a3utvz	501	18	=	=	SYM
cord-348010-m3a3utvz	501	19	1	1	CD
cord-348010-m3a3utvz	501	20	∕	∕	CD
cord-348010-m3a3utvz	501	21	is	be	VBZ
cord-348010-m3a3utvz	501	22	the	the	DT
cord-348010-m3a3utvz	501	23	mean	mean	JJ
cord-348010-m3a3utvz	501	24	duration	duration	NN
cord-348010-m3a3utvz	501	25	of	of	IN
cord-348010-m3a3utvz	501	26	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	501	27	.	.	.
cord-348010-m3a3utvz	502	1	In	in	IN
cord-348010-m3a3utvz	502	2	this	this	DT
cord-348010-m3a3utvz	502	3	approach	approach	NN
cord-348010-m3a3utvz	502	4	,	,	,
cord-348010-m3a3utvz	502	5	the	the	DT
cord-348010-m3a3utvz	502	6	last	last	JJ
cord-348010-m3a3utvz	502	7	one	one	NN
cord-348010-m3a3utvz	502	8	ends	end	VBZ
cord-348010-m3a3utvz	502	9	with	with	IN
cord-348010-m3a3utvz	502	10	the	the	DT
cord-348010-m3a3utvz	502	11	disease	disease	NN
cord-348010-m3a3utvz	502	12	,	,	,
cord-348010-m3a3utvz	502	13	or	or	CC
cord-348010-m3a3utvz	502	14	,	,	,
cord-348010-m3a3utvz	502	15	the	the	DT
cord-348010-m3a3utvz	502	16	patient	patient	NN
cord-348010-m3a3utvz	502	17	is	be	VBZ
cord-348010-m3a3utvz	502	18	regarded	regard	VBN
cord-348010-m3a3utvz	502	19	as	as	IN
cord-348010-m3a3utvz	502	20	recovered	recover	VBN
cord-348010-m3a3utvz	502	21	after	after	IN
cord-348010-m3a3utvz	502	22	his	-PRON-	PRP$
cord-348010-m3a3utvz	502	23	or	or	CC
cord-348010-m3a3utvz	502	24	her	-PRON-	PRP$
cord-348010-m3a3utvz	502	25	infectious	infectious	JJ
cord-348010-m3a3utvz	502	26	period	period	NN
cord-348010-m3a3utvz	502	27	.	.	.
cord-348010-m3a3utvz	503	1	The	the	DT
cord-348010-m3a3utvz	503	2	term	term	NN
cord-348010-m3a3utvz	503	3	−	−	NNP
cord-348010-m3a3utvz	503	4	(	(	-LRB-
cord-348010-m3a3utvz	503	5	)	)	-RRB-
cord-348010-m3a3utvz	503	6	describes	describe	VBZ
cord-348010-m3a3utvz	503	7	that	that	IN
cord-348010-m3a3utvz	503	8	infected	infected	JJ
cord-348010-m3a3utvz	503	9	persons	person	NNS
cord-348010-m3a3utvz	503	10	leave	leave	VBP
cord-348010-m3a3utvz	503	11	class	class	NN
cord-348010-m3a3utvz	503	12	.	.	.
cord-348010-m3a3utvz	504	1	Here	here	RB
cord-348010-m3a3utvz	504	2	,	,	,
cord-348010-m3a3utvz	504	3	a	a	DT
cord-348010-m3a3utvz	504	4	permanent	permanent	JJ
cord-348010-m3a3utvz	504	5	immunity	immunity	NN
cord-348010-m3a3utvz	504	6	is	be	VBZ
cord-348010-m3a3utvz	504	7	assumed	assume	VBN
cord-348010-m3a3utvz	504	8	.	.	.
cord-348010-m3a3utvz	505	1	The	the	DT
cord-348010-m3a3utvz	505	2	sum	sum	NN
cord-348010-m3a3utvz	505	3	+	+	CC
cord-348010-m3a3utvz	506	1	+	+	CC
cord-348010-m3a3utvz	506	2	represents	represent	VBZ
cord-348010-m3a3utvz	506	3	the	the	DT
cord-348010-m3a3utvz	506	4	whole	whole	JJ
cord-348010-m3a3utvz	506	5	number	number	NN
cord-348010-m3a3utvz	506	6	of	of	IN
cord-348010-m3a3utvz	506	7	infected	infected	JJ
cord-348010-m3a3utvz	506	8	individuals	individual	NNS
cord-348010-m3a3utvz	506	9	,	,	,
cord-348010-m3a3utvz	506	10	currently	currently	RB
cord-348010-m3a3utvz	506	11	and	and	CC
cord-348010-m3a3utvz	506	12	formerly	formerly	RB
cord-348010-m3a3utvz	506	13	(	(	-LRB-
cord-348010-m3a3utvz	506	14	accumulated	accumulate	VBN
cord-348010-m3a3utvz	506	15	cases	case	NNS
cord-348010-m3a3utvz	506	16	)	)	-RRB-
cord-348010-m3a3utvz	506	17	.	.	.
cord-348010-m3a3utvz	507	1	Furthermore	furthermore	RB
cord-348010-m3a3utvz	507	2	,	,	,
cord-348010-m3a3utvz	507	3	via	via	IN
cord-348010-m3a3utvz	507	4	=	=	SYM
cord-348010-m3a3utvz	507	5	−	−	NNP
cord-348010-m3a3utvz	507	6	−	−	NNP
cord-348010-m3a3utvz	507	7	−	−	NNP
cord-348010-m3a3utvz	507	8	,	,	,
cord-348010-m3a3utvz	507	9	can	can	MD
cord-348010-m3a3utvz	507	10	be	be	VB
cord-348010-m3a3utvz	507	11	excluded	exclude	VBN
cord-348010-m3a3utvz	507	12	on	on	IN
cord-348010-m3a3utvz	507	13	the	the	DT
cord-348010-m3a3utvz	507	14	right	right	JJ
cord-348010-m3a3utvz	507	15	-	-	HYPH
cord-348010-m3a3utvz	507	16	hand	hand	NN
cord-348010-m3a3utvz	507	17	side	side	NN
cord-348010-m3a3utvz	507	18	.	.	.
cord-348010-m3a3utvz	508	1	In	in	IN
cord-348010-m3a3utvz	508	2	applications	application	NNS
cord-348010-m3a3utvz	508	3	,	,	,
cord-348010-m3a3utvz	508	4	equation	equation	NN
cord-348010-m3a3utvz	508	5	(	(	-LRB-
cord-348010-m3a3utvz	508	6	2.40	2.40	CD
cord-348010-m3a3utvz	508	7	)	)	-RRB-
cord-348010-m3a3utvz	508	8	can	can	MD
cord-348010-m3a3utvz	508	9	be	be	VB
cord-348010-m3a3utvz	508	10	used	use	VBN
cord-348010-m3a3utvz	508	11	for	for	IN
cord-348010-m3a3utvz	508	12	determining	determine	VBG
cord-348010-m3a3utvz	508	13	from	from	IN
cord-348010-m3a3utvz	508	14	measured	measure	VBN
cord-348010-m3a3utvz	508	15	data	datum	NNS
cord-348010-m3a3utvz	508	16	,	,	,
cord-348010-m3a3utvz	508	17	or	or	CC
cord-348010-m3a3utvz	508	18	more	more	RBR
cord-348010-m3a3utvz	508	19	precisely	precisely	RB
cord-348010-m3a3utvz	508	20	from	from	IN
cord-348010-m3a3utvz	508	21	daily	daily	RB
cord-348010-m3a3utvz	508	22	reported	report	VBN
cord-348010-m3a3utvz	508	23	numbers	number	NNS
cord-348010-m3a3utvz	508	24	of	of	IN
cord-348010-m3a3utvz	508	25	newly	newly	RB
cord-348010-m3a3utvz	508	26	infected	infect	VBN
cord-348010-m3a3utvz	508	27	,	,	,
cord-348010-m3a3utvz	508	28	recovered	recover	VBN
cord-348010-m3a3utvz	508	29	and	and	CC
cord-348010-m3a3utvz	508	30	died	die	VBD
cord-348010-m3a3utvz	508	31	persons	person	NNS
cord-348010-m3a3utvz	508	32	.	.	.
cord-348010-m3a3utvz	509	1	(	(	-LRB-
cord-348010-m3a3utvz	509	2	ii	ii	NN
cord-348010-m3a3utvz	509	3	)	)	-RRB-
cord-348010-m3a3utvz	509	4	(	(	-LRB-
cord-348010-m3a3utvz	509	5	SIR	SIR	NNP
cord-348010-m3a3utvz	509	6	model	model	NN
cord-348010-m3a3utvz	509	7	)	)	-RRB-
cord-348010-m3a3utvz	510	1	Sometimes	sometimes	RB
cord-348010-m3a3utvz	510	2	,	,	,
cord-348010-m3a3utvz	510	3	in	in	IN
cord-348010-m3a3utvz	510	4	the	the	DT
cord-348010-m3a3utvz	510	5	case	case	NN
cord-348010-m3a3utvz	510	6	of	of	IN
cord-348010-m3a3utvz	510	7	small	small	JJ
cord-348010-m3a3utvz	510	8	lethality	lethality	NN
cord-348010-m3a3utvz	510	9	,	,	,
cord-348010-m3a3utvz	510	10	the	the	DT
cord-348010-m3a3utvz	510	11	died	die	VBN
cord-348010-m3a3utvz	510	12	persons	person	NNS
cord-348010-m3a3utvz	510	13	are	be	VBP
cord-348010-m3a3utvz	510	14	included	include	VBN
cord-348010-m3a3utvz	510	15	in	in	IN
cord-348010-m3a3utvz	510	16	the	the	DT
cord-348010-m3a3utvz	510	17	class	class	NN
cord-348010-m3a3utvz	510	18	,	,	,
cord-348010-m3a3utvz	510	19	and	and	CC
cord-348010-m3a3utvz	510	20	the	the	DT
cord-348010-m3a3utvz	510	21	SIRD	SIRD	NNP
cord-348010-m3a3utvz	510	22	model	model	NN
cord-348010-m3a3utvz	510	23	becomes	become	VBZ
cord-348010-m3a3utvz	510	24	a	a	DT
cord-348010-m3a3utvz	510	25	SIR	SIR	NNP
cord-348010-m3a3utvz	510	26	one	one	CD
cord-348010-m3a3utvz	510	27	,	,	,
cord-348010-m3a3utvz	510	28	see	see	VB
cord-348010-m3a3utvz	510	29	[	[	-LRB-
cord-348010-m3a3utvz	510	30	28	28	CD
cord-348010-m3a3utvz	510	31	]	]	-RRB-
cord-348010-m3a3utvz	510	32	,	,	,
cord-348010-m3a3utvz	510	33	e.g.	e.g.	JJ
cord-348010-m3a3utvz	510	34	(	(	-LRB-
cord-348010-m3a3utvz	510	35	SIRSD	SIRSD	NNP
cord-348010-m3a3utvz	510	36	model	model	NN
cord-348010-m3a3utvz	510	37	)	)	-RRB-
cord-348010-m3a3utvz	511	1	A	a	DT
cord-348010-m3a3utvz	511	2	loss	loss	NN
cord-348010-m3a3utvz	511	3	of	of	IN
cord-348010-m3a3utvz	511	4	immunity	immunity	NN
cord-348010-m3a3utvz	511	5	of	of	IN
cord-348010-m3a3utvz	511	6	recovered	recover	VBN
cord-348010-m3a3utvz	511	7	persons	person	NNS
cord-348010-m3a3utvz	511	8	can	can	MD
cord-348010-m3a3utvz	511	9	be	be	VB
cord-348010-m3a3utvz	511	10	integrated	integrate	VBN
cord-348010-m3a3utvz	511	11	in	in	IN
cord-348010-m3a3utvz	511	12	the	the	DT
cord-348010-m3a3utvz	511	13	following	following	JJ
cord-348010-m3a3utvz	511	14	way	way	NN
cord-348010-m3a3utvz	511	15	.	.	.
cord-348010-m3a3utvz	512	1	Assuming	assume	VBG
cord-348010-m3a3utvz	512	2	a	a	DT
cord-348010-m3a3utvz	512	3	mean	mean	JJ
cord-348010-m3a3utvz	512	4	duration	duration	NN
cord-348010-m3a3utvz	512	5	of	of	IN
cord-348010-m3a3utvz	512	6	immunity	immunity	NN
cord-348010-m3a3utvz	512	7	and	and	CC
cord-348010-m3a3utvz	512	8	setting	set	VBG
cord-348010-m3a3utvz	512	9	∶=	∶=	NNP
cord-348010-m3a3utvz	512	10	1	1	CD
cord-348010-m3a3utvz	512	11	∕	∕	CD
cord-348010-m3a3utvz	512	12	,	,	,
cord-348010-m3a3utvz	512	13	the	the	DT
cord-348010-m3a3utvz	512	14	term	term	NN
cord-348010-m3a3utvz	512	15	−	−	NNP
cord-348010-m3a3utvz	512	16	(	(	-LRB-
cord-348010-m3a3utvz	512	17	)	)	-RRB-
cord-348010-m3a3utvz	512	18	is	be	VBZ
cord-348010-m3a3utvz	512	19	the	the	DT
cord-348010-m3a3utvz	512	20	rate	rate	NN
cord-348010-m3a3utvz	512	21	of	of	IN
cord-348010-m3a3utvz	512	22	loss	loss	NN
cord-348010-m3a3utvz	512	23	for	for	IN
cord-348010-m3a3utvz	512	24	and	and	CC
cord-348010-m3a3utvz	512	25	of	of	IN
cord-348010-m3a3utvz	512	26	benefit	benefit	NN
cord-348010-m3a3utvz	512	27	for	for	IN
cord-348010-m3a3utvz	512	28	.	.	.
cord-348010-m3a3utvz	513	1	Thus	thus	RB
cord-348010-m3a3utvz	513	2	,	,	,
cord-348010-m3a3utvz	513	3	there	there	EX
cord-348010-m3a3utvz	513	4	must	must	MD
cord-348010-m3a3utvz	513	5	be	be	VB
cord-348010-m3a3utvz	513	6	added	add	VBN
cord-348010-m3a3utvz	513	7	−	−	NNP
cord-348010-m3a3utvz	513	8	(	(	-LRB-
cord-348010-m3a3utvz	513	9	)	)	-RRB-
cord-348010-m3a3utvz	513	10	on	on	IN
cord-348010-m3a3utvz	513	11	the	the	DT
cord-348010-m3a3utvz	513	12	right	right	JJ
cord-348010-m3a3utvz	513	13	-	-	HYPH
cord-348010-m3a3utvz	513	14	hand	hand	NN
cord-348010-m3a3utvz	513	15	side	side	NN
cord-348010-m3a3utvz	513	16	of	of	IN
cord-348010-m3a3utvz	513	17	(	(	-LRB-
cord-348010-m3a3utvz	513	18	2.36	2.36	CD
cord-348010-m3a3utvz	513	19	)	)	-RRB-
cord-348010-m3a3utvz	513	20	,	,	,
cord-348010-m3a3utvz	513	21	and	and	CC
cord-348010-m3a3utvz	514	1	(	(	-LRB-
cord-348010-m3a3utvz	514	2	)	)	-RRB-
cord-348010-m3a3utvz	514	3	on	on	IN
cord-348010-m3a3utvz	514	4	the	the	DT
cord-348010-m3a3utvz	514	5	right	right	JJ
cord-348010-m3a3utvz	514	6	-	-	HYPH
cord-348010-m3a3utvz	514	7	hand	hand	NN
cord-348010-m3a3utvz	514	8	side	side	NN
cord-348010-m3a3utvz	514	9	of	of	IN
cord-348010-m3a3utvz	514	10	(	(	-LRB-
cord-348010-m3a3utvz	514	11	2.34	2.34	CD
cord-348010-m3a3utvz	514	12	)	)	-RRB-
cord-348010-m3a3utvz	514	13	.	.	.
cord-348010-m3a3utvz	515	1	Therefore	therefore	RB
cord-348010-m3a3utvz	515	2	,	,	,
cord-348010-m3a3utvz	515	3	equations	equation	NNS
cord-348010-m3a3utvz	515	4	(	(	-LRB-
cord-348010-m3a3utvz	515	5	2.34	2.34	CD
cord-348010-m3a3utvz	515	6	)	)	-RRB-
cord-348010-m3a3utvz	515	7	and	and	CC
cord-348010-m3a3utvz	515	8	(	(	-LRB-
cord-348010-m3a3utvz	515	9	2.36	2.36	CD
cord-348010-m3a3utvz	515	10	)	)	-RRB-
cord-348010-m3a3utvz	515	11	are	be	VBP
cord-348010-m3a3utvz	515	12	replaced	replace	VBN
cord-348010-m3a3utvz	515	13	by	by	IN
cord-348010-m3a3utvz	515	14	the	the	DT
cord-348010-m3a3utvz	515	15	following	follow	VBG
cord-348010-m3a3utvz	515	16	ones	one	NNS
cord-348010-m3a3utvz	515	17	.	.	.
cord-348010-m3a3utvz	516	1	SEIRD	SEIRD	NNP
cord-348010-m3a3utvz	516	2	and	and	CC
cord-348010-m3a3utvz	516	3	SEIRSD	SEIRSD	NNP
cord-348010-m3a3utvz	516	4	models	model	NNS
cord-348010-m3a3utvz	516	5	.	.	.
cord-348010-m3a3utvz	517	1	Now	now	RB
cord-348010-m3a3utvz	517	2	we	-PRON-	PRP
cord-348010-m3a3utvz	517	3	consider	consider	VBP
cord-348010-m3a3utvz	517	4	a	a	DT
cord-348010-m3a3utvz	517	5	more	more	RBR
cord-348010-m3a3utvz	517	6	general	general	JJ
cord-348010-m3a3utvz	517	7	case	case	NN
cord-348010-m3a3utvz	517	8	.	.	.
cord-348010-m3a3utvz	518	1	The	the	DT
cord-348010-m3a3utvz	518	2	class	class	NN
cord-348010-m3a3utvz	518	3	directly	directly	RB
cord-348010-m3a3utvz	518	4	loses	lose	VBZ
cord-348010-m3a3utvz	518	5	members	member	NNS
cord-348010-m3a3utvz	518	6	to	to	IN
cord-348010-m3a3utvz	518	7	the	the	DT
cord-348010-m3a3utvz	518	8	class	class	NN
cord-348010-m3a3utvz	518	9	consisting	consist	VBG
cord-348010-m3a3utvz	518	10	of	of	IN
cord-348010-m3a3utvz	518	11	infected	infected	JJ
cord-348010-m3a3utvz	518	12	persons	person	NNS
cord-348010-m3a3utvz	518	13	who	who	WP
cord-348010-m3a3utvz	518	14	are	be	VBP
cord-348010-m3a3utvz	518	15	not	not	RB
cord-348010-m3a3utvz	518	16	yet	yet	RB
cord-348010-m3a3utvz	518	17	infectious	infectious	JJ
cord-348010-m3a3utvz	518	18	.	.	.
cord-348010-m3a3utvz	519	1	After	after	IN
cord-348010-m3a3utvz	519	2	expiration	expiration	NN
cord-348010-m3a3utvz	519	3	of	of	IN
cord-348010-m3a3utvz	519	4	latent	latent	JJ
cord-348010-m3a3utvz	519	5	period	period	NN
cord-348010-m3a3utvz	519	6	the	the	DT
cord-348010-m3a3utvz	519	7	individuals	individual	NNS
cord-348010-m3a3utvz	519	8	of	of	IN
cord-348010-m3a3utvz	519	9	become	become	VBN
cord-348010-m3a3utvz	519	10	infectious	infectious	JJ
cord-348010-m3a3utvz	519	11	.	.	.
cord-348010-m3a3utvz	520	1	Then	then	RB
cord-348010-m3a3utvz	520	2	they	-PRON-	PRP
cord-348010-m3a3utvz	520	3	belong	belong	VBP
cord-348010-m3a3utvz	520	4	to	to	IN
cord-348010-m3a3utvz	520	5	an	an	DT
cord-348010-m3a3utvz	520	6	class	class	NN
cord-348010-m3a3utvz	520	7	.	.	.
cord-348010-m3a3utvz	521	1	Besides	besides	IN
cord-348010-m3a3utvz	521	2	this	this	DT
cord-348010-m3a3utvz	521	3	,	,	,
cord-348010-m3a3utvz	521	4	we	-PRON-	PRP
cord-348010-m3a3utvz	521	5	assume	assume	VBP
cord-348010-m3a3utvz	521	6	that	that	IN
cord-348010-m3a3utvz	521	7	after	after	IN
cord-348010-m3a3utvz	521	8	overcome	overcome	VBN
cord-348010-m3a3utvz	521	9	infection	infection	NN
cord-348010-m3a3utvz	521	10	former	former	JJ
cord-348010-m3a3utvz	521	11	infected	infected	JJ
cord-348010-m3a3utvz	521	12	persons	person	NNS
cord-348010-m3a3utvz	521	13	go	go	VBP
cord-348010-m3a3utvz	521	14	into	into	IN
cord-348010-m3a3utvz	521	15	class	class	NN
cord-348010-m3a3utvz	521	16	of	of	IN
cord-348010-m3a3utvz	521	17	recovered	recover	VBN
cord-348010-m3a3utvz	521	18	individuals	individual	NNS
cord-348010-m3a3utvz	521	19	.	.	.
cord-348010-m3a3utvz	522	1	Either	either	CC
cord-348010-m3a3utvz	522	2	they	-PRON-	PRP
cord-348010-m3a3utvz	522	3	remain	remain	VBP
cord-348010-m3a3utvz	522	4	there	there	RB
cord-348010-m3a3utvz	522	5	being	be	VBG
cord-348010-m3a3utvz	522	6	permanently	permanently	RB
cord-348010-m3a3utvz	522	7	immune	immune	JJ
cord-348010-m3a3utvz	522	8	or	or	CC
cord-348010-m3a3utvz	522	9	they	-PRON-	PRP
cord-348010-m3a3utvz	522	10	become	become	VBP
cord-348010-m3a3utvz	522	11	susceptible	susceptible	JJ
cord-348010-m3a3utvz	522	12	again	again	RB
cord-348010-m3a3utvz	522	13	after	after	IN
cord-348010-m3a3utvz	522	14	some	some	DT
cord-348010-m3a3utvz	522	15	time	time	NN
cord-348010-m3a3utvz	522	16	.	.	.
cord-348010-m3a3utvz	523	1	Finally	finally	RB
cord-348010-m3a3utvz	523	2	,	,	,
cord-348010-m3a3utvz	523	3	individuals	individual	NNS
cord-348010-m3a3utvz	523	4	from	from	IN
cord-348010-m3a3utvz	523	5	may	may	MD
cord-348010-m3a3utvz	523	6	die	die	VB
cord-348010-m3a3utvz	523	7	by	by	IN
cord-348010-m3a3utvz	523	8	the	the	DT
cord-348010-m3a3utvz	523	9	infection	infection	NN
cord-348010-m3a3utvz	523	10	-	-	HYPH
cord-348010-m3a3utvz	523	11	caused	cause	VBN
cord-348010-m3a3utvz	523	12	disease	disease	NN
cord-348010-m3a3utvz	523	13	.	.	.
cord-348010-m3a3utvz	524	1	The	the	DT
cord-348010-m3a3utvz	524	2	equation	equation	NN
cord-348010-m3a3utvz	524	3	for	for	IN
cord-348010-m3a3utvz	524	4	is	be	VBZ
cord-348010-m3a3utvz	524	5	given	give	VBN
cord-348010-m3a3utvz	524	6	by	by	IN
cord-348010-m3a3utvz	524	7	(	(	-LRB-
cord-348010-m3a3utvz	524	8	2.34	2.34	CD
cord-348010-m3a3utvz	524	9	)	)	-RRB-
cord-348010-m3a3utvz	524	10	,	,	,
cord-348010-m3a3utvz	524	11	assuming	assume	VBG
cord-348010-m3a3utvz	524	12	a	a	DT
cord-348010-m3a3utvz	524	13	permanent	permanent	JJ
cord-348010-m3a3utvz	524	14	immunity	immunity	NN
cord-348010-m3a3utvz	524	15	in	in	IN
cord-348010-m3a3utvz	524	16	.	.	.
cord-348010-m3a3utvz	525	1	The	the	DT
cord-348010-m3a3utvz	525	2	special	special	JJ
cord-348010-m3a3utvz	525	3	feature	feature	NN
cord-348010-m3a3utvz	525	4	of	of	IN
cord-348010-m3a3utvz	525	5	class	class	NN
cord-348010-m3a3utvz	525	6	is	be	VBZ
cord-348010-m3a3utvz	525	7	expressed	express	VBN
cord-348010-m3a3utvz	525	8	in	in	IN
cord-348010-m3a3utvz	525	9	modelling	modelling	NN
cord-348010-m3a3utvz	525	10	,	,	,
cord-348010-m3a3utvz	525	11	too	too	RB
cord-348010-m3a3utvz	525	12	.	.	.
cord-348010-m3a3utvz	526	1	Individuals	individual	NNS
cord-348010-m3a3utvz	526	2	from	from	IN
cord-348010-m3a3utvz	526	3	can	can	MD
cord-348010-m3a3utvz	526	4	not	not	RB
cord-348010-m3a3utvz	526	5	be	be	VB
cord-348010-m3a3utvz	526	6	(	(	-LRB-
cord-348010-m3a3utvz	526	7	newly	newly	RB
cord-348010-m3a3utvz	526	8	)	)	-RRB-
cord-348010-m3a3utvz	526	9	infected	infect	VBN
cord-348010-m3a3utvz	526	10	,	,	,
cord-348010-m3a3utvz	526	11	and	and	CC
cord-348010-m3a3utvz	526	12	they	-PRON-	PRP
cord-348010-m3a3utvz	526	13	can	can	MD
cord-348010-m3a3utvz	526	14	not	not	RB
cord-348010-m3a3utvz	526	15	infect	infect	VB
cord-348010-m3a3utvz	526	16	others	other	NNS
cord-348010-m3a3utvz	526	17	.	.	.
cord-348010-m3a3utvz	527	1	Thus	thus	RB
cord-348010-m3a3utvz	527	2	,	,	,
cord-348010-m3a3utvz	527	3	can	can	MD
cord-348010-m3a3utvz	527	4	only	only	RB
cord-348010-m3a3utvz	527	5	grow	grow	VB
cord-348010-m3a3utvz	527	6	,	,	,
cord-348010-m3a3utvz	527	7	if	if	IN
cord-348010-m3a3utvz	527	8	there	there	EX
cord-348010-m3a3utvz	527	9	are	be	VBP
cord-348010-m3a3utvz	527	10	adequate	adequate	JJ
cord-348010-m3a3utvz	527	11	contacts	contact	NNS
cord-348010-m3a3utvz	527	12	between	between	IN
cord-348010-m3a3utvz	527	13	persons	person	NNS
cord-348010-m3a3utvz	527	14	from	from	IN
cord-348010-m3a3utvz	527	15	and	and	CC
cord-348010-m3a3utvz	527	16	.	.	.
cord-348010-m3a3utvz	528	1	Based	base	VBN
cord-348010-m3a3utvz	528	2	on	on	IN
cord-348010-m3a3utvz	528	3	(	(	-LRB-
cord-348010-m3a3utvz	528	4	2.8	2.8	CD
cord-348010-m3a3utvz	528	5	)	)	-RRB-
cord-348010-m3a3utvz	528	6	we	-PRON-	PRP
cord-348010-m3a3utvz	528	7	can	can	MD
cord-348010-m3a3utvz	528	8	write:̇	write:̇	VB
cord-348010-m3a3utvz	528	9	(	(	-LRB-
cord-348010-m3a3utvz	528	10	Here	here	RB
cord-348010-m3a3utvz	528	11	,	,	,
cord-348010-m3a3utvz	528	12	>	>	XX
cord-348010-m3a3utvz	528	13	0	0	NFP
cord-348010-m3a3utvz	528	14	is	be	VBZ
cord-348010-m3a3utvz	528	15	a	a	DT
cord-348010-m3a3utvz	528	16	parameter	parameter	NN
cord-348010-m3a3utvz	528	17	which	which	WDT
cord-348010-m3a3utvz	528	18	can	can	MD
cord-348010-m3a3utvz	528	19	be	be	VB
cord-348010-m3a3utvz	528	20	referred	refer	VBN
cord-348010-m3a3utvz	528	21	to	to	IN
cord-348010-m3a3utvz	528	22	the	the	DT
cord-348010-m3a3utvz	528	23	reciprocal	reciprocal	JJ
cord-348010-m3a3utvz	528	24	value	value	NN
cord-348010-m3a3utvz	528	25	of	of	IN
cord-348010-m3a3utvz	528	26	the	the	DT
cord-348010-m3a3utvz	528	27	latent	latent	JJ
cord-348010-m3a3utvz	528	28	period	period	NN
cord-348010-m3a3utvz	528	29	,	,	,
cord-348010-m3a3utvz	528	30	i.e.	i.e.	FW
cord-348010-m3a3utvz	528	31	,	,	,
cord-348010-m3a3utvz	528	32	=	=	NFP
cord-348010-m3a3utvz	529	1	1	1	CD
cord-348010-m3a3utvz	529	2	∕	∕	CD
cord-348010-m3a3utvz	529	3	,	,	,
cord-348010-m3a3utvz	529	4	see	see	VB
cord-348010-m3a3utvz	529	5	[	[	-LRB-
cord-348010-m3a3utvz	529	6	21	21	CD
cord-348010-m3a3utvz	529	7	]	]	-RRB-
cord-348010-m3a3utvz	529	8	.	.	.
cord-348010-m3a3utvz	530	1	The	the	DT
cord-348010-m3a3utvz	530	2	term	term	NN
cord-348010-m3a3utvz	530	3	−	−	NNP
cord-348010-m3a3utvz	530	4	(	(	-LRB-
cord-348010-m3a3utvz	530	5	)	)	-RRB-
cord-348010-m3a3utvz	530	6	describes	describe	VBZ
cord-348010-m3a3utvz	530	7	the	the	DT
cord-348010-m3a3utvz	530	8	loss	loss	NN
cord-348010-m3a3utvz	530	9	of	of	IN
cord-348010-m3a3utvz	530	10	to	to	IN
cord-348010-m3a3utvz	530	11	.	.	.
cord-348010-m3a3utvz	531	1	This	this	DT
cord-348010-m3a3utvz	531	2	loss	loss	NN
cord-348010-m3a3utvz	531	3	is	be	VBZ
cord-348010-m3a3utvz	531	4	the	the	DT
cord-348010-m3a3utvz	531	5	benefit	benefit	NN
cord-348010-m3a3utvz	531	6	for	for	IN
cord-348010-m3a3utvz	531	7	.	.	.
cord-348010-m3a3utvz	532	1	Therefore	therefore	RB
cord-348010-m3a3utvz	532	2	,	,	,
cord-348010-m3a3utvz	532	3	we	-PRON-	PRP
cord-348010-m3a3utvz	532	4	can	can	MD
cord-348010-m3a3utvz	532	5	writė	writė	VB
cord-348010-m3a3utvz	532	6	Again	again	RB
cord-348010-m3a3utvz	532	7	,	,	,
cord-348010-m3a3utvz	532	8	>	>	XX
cord-348010-m3a3utvz	532	9	0	0	CD
cord-348010-m3a3utvz	532	10	,	,	,
cord-348010-m3a3utvz	532	11	and	and	CC
cord-348010-m3a3utvz	533	1	=	=	SYM
cord-348010-m3a3utvz	533	2	1	1	CD
cord-348010-m3a3utvz	533	3	∕	∕	CD
cord-348010-m3a3utvz	533	4	is	be	VBZ
cord-348010-m3a3utvz	533	5	the	the	DT
cord-348010-m3a3utvz	533	6	mean	mean	JJ
cord-348010-m3a3utvz	533	7	duration	duration	NN
cord-348010-m3a3utvz	533	8	of	of	IN
cord-348010-m3a3utvz	533	9	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	533	10	.	.	.
cord-348010-m3a3utvz	534	1	Contrary	contrary	JJ
cord-348010-m3a3utvz	534	2	to	to	IN
cord-348010-m3a3utvz	534	3	the	the	DT
cord-348010-m3a3utvz	534	4	situation	situation	NN
cord-348010-m3a3utvz	534	5	in	in	IN
cord-348010-m3a3utvz	534	6	Subsection	subsection	NN
cord-348010-m3a3utvz	534	7	2.2	2.2	CD
cord-348010-m3a3utvz	534	8	and	and	CC
cord-348010-m3a3utvz	534	9	in	in	IN
cord-348010-m3a3utvz	534	10	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	534	11	2.3.2	2.3.2	CD
cord-348010-m3a3utvz	534	12	,	,	,
cord-348010-m3a3utvz	534	13	now	now	RB
cord-348010-m3a3utvz	534	14	the	the	DT
cord-348010-m3a3utvz	534	15	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	534	16	begins	begin	VBZ
cord-348010-m3a3utvz	534	17	only	only	RB
cord-348010-m3a3utvz	534	18	after	after	IN
cord-348010-m3a3utvz	534	19	the	the	DT
cord-348010-m3a3utvz	534	20	end	end	NN
cord-348010-m3a3utvz	534	21	of	of	IN
cord-348010-m3a3utvz	534	22	latent	latent	JJ
cord-348010-m3a3utvz	534	23	period	period	NN
cord-348010-m3a3utvz	534	24	.	.	.
cord-348010-m3a3utvz	535	1	The	the	DT
cord-348010-m3a3utvz	535	2	term	term	NN
cord-348010-m3a3utvz	535	3	−	−	NNP
cord-348010-m3a3utvz	535	4	(	(	-LRB-
cord-348010-m3a3utvz	535	5	)	)	-RRB-
cord-348010-m3a3utvz	535	6	describes	describe	VBZ
cord-348010-m3a3utvz	535	7	that	that	IN
cord-348010-m3a3utvz	535	8	infected	infected	JJ
cord-348010-m3a3utvz	535	9	persons	person	NNS
cord-348010-m3a3utvz	535	10	leave	leave	VBP
cord-348010-m3a3utvz	535	11	class	class	NN
cord-348010-m3a3utvz	535	12	.	.	.
cord-348010-m3a3utvz	536	1	As	as	IN
cord-348010-m3a3utvz	536	2	above	above	RB
cord-348010-m3a3utvz	536	3	in	in	IN
cord-348010-m3a3utvz	536	4	the	the	DT
cord-348010-m3a3utvz	536	5	previous	previous	JJ
cord-348010-m3a3utvz	536	6	paragraph	paragraph	NN
cord-348010-m3a3utvz	536	7	,	,	,
cord-348010-m3a3utvz	536	8	>	>	XX
cord-348010-m3a3utvz	536	9	0	0	NFP
cord-348010-m3a3utvz	536	10	is	be	VBZ
cord-348010-m3a3utvz	536	11	the	the	DT
cord-348010-m3a3utvz	536	12	infection	infection	NN
cord-348010-m3a3utvz	536	13	-	-	HYPH
cord-348010-m3a3utvz	536	14	specific	specific	JJ
cord-348010-m3a3utvz	536	15	lethality	lethality	NN
cord-348010-m3a3utvz	536	16	coefficient	coefficient	NN
cord-348010-m3a3utvz	536	17	.	.	.
cord-348010-m3a3utvz	537	1	The	the	DT
cord-348010-m3a3utvz	537	2	equations	equation	NNS
cord-348010-m3a3utvz	537	3	for	for	IN
cord-348010-m3a3utvz	537	4	and	and	CC
cord-348010-m3a3utvz	537	5	are	be	VBP
cord-348010-m3a3utvz	537	6	the	the	DT
cord-348010-m3a3utvz	537	7	same	same	JJ
cord-348010-m3a3utvz	537	8	ones	one	NNS
cord-348010-m3a3utvz	537	9	as	as	IN
cord-348010-m3a3utvz	537	10	in	in	IN
cord-348010-m3a3utvz	537	11	(	(	-LRB-
cord-348010-m3a3utvz	537	12	2.36	2.36	CD
cord-348010-m3a3utvz	537	13	)	)	-RRB-
cord-348010-m3a3utvz	537	14	and	and	CC
cord-348010-m3a3utvz	537	15	(	(	-LRB-
cord-348010-m3a3utvz	537	16	2.37	2.37	CD
cord-348010-m3a3utvz	537	17	)	)	-RRB-
cord-348010-m3a3utvz	537	18	.	.	.
cord-348010-m3a3utvz	538	1	Finally	finally	RB
cord-348010-m3a3utvz	538	2	,	,	,
cord-348010-m3a3utvz	538	3	the	the	DT
cord-348010-m3a3utvz	538	4	differential	differential	JJ
cord-348010-m3a3utvz	538	5	equations	equation	NNS
cord-348010-m3a3utvz	538	6	(	(	-LRB-
cord-348010-m3a3utvz	538	7	2.34	2.34	CD
cord-348010-m3a3utvz	538	8	)	)	-RRB-
cord-348010-m3a3utvz	538	9	,	,	,
cord-348010-m3a3utvz	538	10	(	(	-LRB-
cord-348010-m3a3utvz	538	11	2.36	2.36	CD
cord-348010-m3a3utvz	538	12	)	)	-RRB-
cord-348010-m3a3utvz	538	13	,	,	,
cord-348010-m3a3utvz	538	14	(	(	-LRB-
cord-348010-m3a3utvz	538	15	2.37	2.37	CD
cord-348010-m3a3utvz	538	16	)	)	-RRB-
cord-348010-m3a3utvz	538	17	,	,	,
cord-348010-m3a3utvz	538	18	(	(	-LRB-
cord-348010-m3a3utvz	538	19	2.43	2.43	CD
cord-348010-m3a3utvz	538	20	)	)	-RRB-
cord-348010-m3a3utvz	538	21	,	,	,
cord-348010-m3a3utvz	538	22	(	(	-LRB-
cord-348010-m3a3utvz	538	23	2.44	2.44	CD
cord-348010-m3a3utvz	538	24	)	)	-RRB-
cord-348010-m3a3utvz	538	25	(	(	-LRB-
cord-348010-m3a3utvz	538	26	together	together	RB
cord-348010-m3a3utvz	538	27	with	with	IN
cord-348010-m3a3utvz	538	28	corresponding	correspond	VBG
cord-348010-m3a3utvz	538	29	initial	initial	JJ
cord-348010-m3a3utvz	538	30	conditions	condition	NNS
cord-348010-m3a3utvz	538	31	-see	-see	:
cord-348010-m3a3utvz	538	32	Subsection	subsection	NN
cord-348010-m3a3utvz	538	33	3.2	3.2	CD
cord-348010-m3a3utvz	538	34	)	)	-RRB-
cord-348010-m3a3utvz	538	35	describe	describe	VBP
cord-348010-m3a3utvz	538	36	a	a	DT
cord-348010-m3a3utvz	538	37	SEIRD	SEIRD	NNP
cord-348010-m3a3utvz	538	38	model	model	NN
cord-348010-m3a3utvz	538	39	for	for	IN
cord-348010-m3a3utvz	538	40	an	an	DT
cord-348010-m3a3utvz	538	41	assumed	assume	VBN
cord-348010-m3a3utvz	538	42	constant	constant	JJ
cord-348010-m3a3utvz	538	43	population	population	NN
cord-348010-m3a3utvz	538	44	.	.	.
cord-348010-m3a3utvz	539	1	(	(	-LRB-
cord-348010-m3a3utvz	539	2	SEIRSD	SEIRSD	NNP
cord-348010-m3a3utvz	539	3	model	model	NN
cord-348010-m3a3utvz	539	4	)	)	-RRB-
cord-348010-m3a3utvz	540	1	The	the	DT
cord-348010-m3a3utvz	540	2	difference	difference	NN
cord-348010-m3a3utvz	540	3	between	between	IN
cord-348010-m3a3utvz	540	4	SEIRD	SEIRD	NNP
cord-348010-m3a3utvz	540	5	and	and	CC
cord-348010-m3a3utvz	540	6	SEIRSD	SEIRSD	NNP
cord-348010-m3a3utvz	540	7	models	model	NNS
cord-348010-m3a3utvz	540	8	is	be	VBZ
cord-348010-m3a3utvz	540	9	that	that	IN
cord-348010-m3a3utvz	540	10	recovered	recover	VBN
cord-348010-m3a3utvz	540	11	persons	person	NNS
cord-348010-m3a3utvz	540	12	loss	loss	VBP
cord-348010-m3a3utvz	540	13	their	-PRON-	PRP$
cord-348010-m3a3utvz	540	14	immunity	immunity	NN
cord-348010-m3a3utvz	540	15	.	.	.
cord-348010-m3a3utvz	541	1	Again	again	RB
cord-348010-m3a3utvz	541	2	,	,	,
cord-348010-m3a3utvz	541	3	as	as	IN
cord-348010-m3a3utvz	541	4	a	a	DT
cord-348010-m3a3utvz	541	5	consequence	consequence	NN
cord-348010-m3a3utvz	541	6	,	,	,
cord-348010-m3a3utvz	541	7	Equations	Equations	NNPS
cord-348010-m3a3utvz	541	8	(	(	-LRB-
cord-348010-m3a3utvz	541	9	2.34	2.34	CD
cord-348010-m3a3utvz	541	10	)	)	-RRB-
cord-348010-m3a3utvz	541	11	and	and	CC
cord-348010-m3a3utvz	541	12	(	(	-LRB-
cord-348010-m3a3utvz	541	13	2.36	2.36	CD
cord-348010-m3a3utvz	541	14	)	)	-RRB-
cord-348010-m3a3utvz	541	15	must	must	MD
cord-348010-m3a3utvz	541	16	be	be	VB
cord-348010-m3a3utvz	541	17	replaced	replace	VBN
cord-348010-m3a3utvz	541	18	by	by	IN
cord-348010-m3a3utvz	541	19	(	(	-LRB-
cord-348010-m3a3utvz	541	20	2.41	2.41	CD
cord-348010-m3a3utvz	541	21	)	)	-RRB-
cord-348010-m3a3utvz	541	22	and	and	CC
cord-348010-m3a3utvz	541	23	(	(	-LRB-
cord-348010-m3a3utvz	541	24	2.42	2.42	CD
cord-348010-m3a3utvz	541	25	)	)	-RRB-
cord-348010-m3a3utvz	541	26	.	.	.
cord-348010-m3a3utvz	542	1	Now	now	RB
cord-348010-m3a3utvz	542	2	,	,	,
cord-348010-m3a3utvz	542	3	we	-PRON-	PRP
cord-348010-m3a3utvz	542	4	want	want	VBP
cord-348010-m3a3utvz	542	5	to	to	TO
cord-348010-m3a3utvz	542	6	discuss	discuss	VB
cord-348010-m3a3utvz	542	7	in	in	IN
cord-348010-m3a3utvz	542	8	short	short	JJ
cord-348010-m3a3utvz	542	9	how	how	WRB
cord-348010-m3a3utvz	542	10	a	a	DT
cord-348010-m3a3utvz	542	11	variable	variable	JJ
cord-348010-m3a3utvz	542	12	population	population	NN
cord-348010-m3a3utvz	542	13	number	number	NN
cord-348010-m3a3utvz	542	14	can	can	MD
cord-348010-m3a3utvz	542	15	be	be	VB
cord-348010-m3a3utvz	542	16	taken	take	VBN
cord-348010-m3a3utvz	542	17	into	into	IN
cord-348010-m3a3utvz	542	18	account	account	NN
cord-348010-m3a3utvz	542	19	within	within	IN
cord-348010-m3a3utvz	542	20	the	the	DT
cord-348010-m3a3utvz	542	21	models	model	NNS
cord-348010-m3a3utvz	542	22	presented	present	VBN
cord-348010-m3a3utvz	542	23	above	above	RB
cord-348010-m3a3utvz	542	24	.	.	.
cord-348010-m3a3utvz	543	1	There	there	EX
cord-348010-m3a3utvz	543	2	are	be	VBP
cord-348010-m3a3utvz	543	3	two	two	CD
cord-348010-m3a3utvz	543	4	possible	possible	JJ
cord-348010-m3a3utvz	543	5	approaches	approach	NNS
cord-348010-m3a3utvz	543	6	,	,	,
cord-348010-m3a3utvz	543	7	see	see	VB
cord-348010-m3a3utvz	543	8	[	[	-LRB-
cord-348010-m3a3utvz	543	9	33	33	CD
cord-348010-m3a3utvz	543	10	]	]	-RRB-
cord-348010-m3a3utvz	543	11	:	:	:
cord-348010-m3a3utvz	544	1	(	(	-LRB-
cord-348010-m3a3utvz	544	2	i	i	NN
cord-348010-m3a3utvz	544	3	)	)	-RRB-
cord-348010-m3a3utvz	545	1	The	the	DT
cord-348010-m3a3utvz	545	2	population	population	NN
cord-348010-m3a3utvz	545	3	development	development	NN
cord-348010-m3a3utvz	545	4	is	be	VBZ
cord-348010-m3a3utvz	545	5	controlled	control	VBN
cord-348010-m3a3utvz	545	6	by	by	IN
cord-348010-m3a3utvz	545	7	rates	rate	NNS
cord-348010-m3a3utvz	545	8	for	for	IN
cord-348010-m3a3utvz	545	9	births	birth	NNS
cord-348010-m3a3utvz	545	10	,	,	,
cord-348010-m3a3utvz	545	11	migration	migration	NN
cord-348010-m3a3utvz	545	12	and	and	CC
cord-348010-m3a3utvz	545	13	deaths	death	NNS
cord-348010-m3a3utvz	545	14	non	non	JJ
cord-348010-m3a3utvz	545	15	-	-	JJ
cord-348010-m3a3utvz	545	16	caused	cause	VBN
cord-348010-m3a3utvz	545	17	by	by	IN
cord-348010-m3a3utvz	545	18	the	the	DT
cord-348010-m3a3utvz	545	19	infection	infection	NN
cord-348010-m3a3utvz	545	20	under	under	IN
cord-348010-m3a3utvz	545	21	consideration	consideration	NN
cord-348010-m3a3utvz	545	22	.	.	.
cord-348010-m3a3utvz	546	1	(	(	-LRB-
cord-348010-m3a3utvz	546	2	ii	ii	NN
cord-348010-m3a3utvz	546	3	)	)	-RRB-
cord-348010-m3a3utvz	547	1	A	a	DT
cord-348010-m3a3utvz	547	2	modified	modified	JJ
cord-348010-m3a3utvz	547	3	logistic	logistic	JJ
cord-348010-m3a3utvz	547	4	equation	equation	NN
cord-348010-m3a3utvz	547	5	is	be	VBZ
cord-348010-m3a3utvz	547	6	used	use	VBN
cord-348010-m3a3utvz	547	7	.	.	.
cord-348010-m3a3utvz	548	1	Here	here	RB
cord-348010-m3a3utvz	548	2	,	,	,
cord-348010-m3a3utvz	548	3	we	-PRON-	PRP
cord-348010-m3a3utvz	548	4	only	only	RB
cord-348010-m3a3utvz	548	5	consider	consider	VBP
cord-348010-m3a3utvz	548	6	the	the	DT
cord-348010-m3a3utvz	548	7	first	first	JJ
cord-348010-m3a3utvz	548	8	case	case	NN
cord-348010-m3a3utvz	548	9	in	in	IN
cord-348010-m3a3utvz	548	10	more	more	JJR
cord-348010-m3a3utvz	548	11	detail	detail	NN
cord-348010-m3a3utvz	548	12	,	,	,
cord-348010-m3a3utvz	548	13	for	for	IN
cord-348010-m3a3utvz	548	14	the	the	DT
cord-348010-m3a3utvz	548	15	second	second	JJ
cord-348010-m3a3utvz	548	16	one	one	NN
cord-348010-m3a3utvz	548	17	more	more	JJR
cord-348010-m3a3utvz	548	18	complex	complex	JJ
cord-348010-m3a3utvz	548	19	we	-PRON-	PRP
cord-348010-m3a3utvz	548	20	refer	refer	VBP
cord-348010-m3a3utvz	548	21	to	to	IN
cord-348010-m3a3utvz	548	22	[	[	-LRB-
cord-348010-m3a3utvz	548	23	33	33	CD
cord-348010-m3a3utvz	548	24	]	]	-RRB-
cord-348010-m3a3utvz	548	25	and	and	CC
cord-348010-m3a3utvz	548	26	to	to	IN
cord-348010-m3a3utvz	548	27	the	the	DT
cord-348010-m3a3utvz	548	28	references	reference	NNS
cord-348010-m3a3utvz	548	29	cited	cite	VBN
cord-348010-m3a3utvz	548	30	therein	therein	RB
cord-348010-m3a3utvz	548	31	.	.	.
cord-348010-m3a3utvz	549	1	In	in	IN
cord-348010-m3a3utvz	549	2	the	the	DT
cord-348010-m3a3utvz	549	3	case	case	NN
cord-348010-m3a3utvz	549	4	of	of	IN
cord-348010-m3a3utvz	549	5	a	a	DT
cord-348010-m3a3utvz	549	6	variable	variable	JJ
cord-348010-m3a3utvz	549	7	population	population	NN
cord-348010-m3a3utvz	549	8	number	number	NN
cord-348010-m3a3utvz	549	9	,	,	,
cord-348010-m3a3utvz	549	10	=	=	NFP
cord-348010-m3a3utvz	549	11	(	(	-LRB-
cord-348010-m3a3utvz	549	12	)	)	-RRB-
cord-348010-m3a3utvz	549	13	,	,	,
cord-348010-m3a3utvz	549	14	died	die	VBD
cord-348010-m3a3utvz	549	15	persons	person	NNS
cord-348010-m3a3utvz	549	16	are	be	VBP
cord-348010-m3a3utvz	549	17	not	not	RB
cord-348010-m3a3utvz	549	18	included	include	VBN
cord-348010-m3a3utvz	549	19	into	into	IN
cord-348010-m3a3utvz	549	20	,	,	,
cord-348010-m3a3utvz	549	21	independently	independently	RB
cord-348010-m3a3utvz	549	22	of	of	IN
cord-348010-m3a3utvz	549	23	the	the	DT
cord-348010-m3a3utvz	549	24	death	death	NN
cord-348010-m3a3utvz	549	25	reason	reason	NN
cord-348010-m3a3utvz	549	26	.	.	.
cord-348010-m3a3utvz	550	1	The	the	DT
cord-348010-m3a3utvz	550	2	classes	class	NNS
cord-348010-m3a3utvz	550	3	of	of	IN
cord-348010-m3a3utvz	550	4	died	die	VBN
cord-348010-m3a3utvz	550	5	individuals	individual	NNS
cord-348010-m3a3utvz	550	6	can	can	MD
cord-348010-m3a3utvz	550	7	be	be	VB
cord-348010-m3a3utvz	550	8	calculated	calculate	VBN
cord-348010-m3a3utvz	550	9	a	a	DT
cord-348010-m3a3utvz	550	10	posteriori	posteriori	NN
cord-348010-m3a3utvz	550	11	.	.	.
cord-348010-m3a3utvz	551	1	The	the	DT
cord-348010-m3a3utvz	551	2	temporal	temporal	JJ
cord-348010-m3a3utvz	551	3	course	course	NN
cord-348010-m3a3utvz	551	4	of	of	IN
cord-348010-m3a3utvz	551	5	is	be	VBZ
cord-348010-m3a3utvz	551	6	described	describe	VBN
cord-348010-m3a3utvz	551	7	by	by	IN
cord-348010-m3a3utvz	551	8	a	a	DT
cord-348010-m3a3utvz	551	9	differential	differential	JJ
cord-348010-m3a3utvz	551	10	equation	equation	NN
cord-348010-m3a3utvz	551	11	along	along	IN
cord-348010-m3a3utvz	551	12	with	with	IN
cord-348010-m3a3utvz	551	13	an	an	DT
cord-348010-m3a3utvz	551	14	initial	initial	JJ
cord-348010-m3a3utvz	551	15	condition	condition	NN
cord-348010-m3a3utvz	551	16	.	.	.
cord-348010-m3a3utvz	552	1	Here	here	RB
cord-348010-m3a3utvz	552	2	are	be	VBP
cord-348010-m3a3utvz	552	3	≥	≥	CD
cord-348010-m3a3utvz	552	4	0	0	CD
cord-348010-m3a3utvz	552	5	,	,	,
cord-348010-m3a3utvz	553	1	≥	≥	CD
cord-348010-m3a3utvz	553	2	0	0	CD
cord-348010-m3a3utvz	553	3	birth	birth	NN
cord-348010-m3a3utvz	553	4	and	and	CC
cord-348010-m3a3utvz	553	5	death	death	NN
cord-348010-m3a3utvz	553	6	coefficients	coefficient	NNS
cord-348010-m3a3utvz	553	7	related	relate	VBN
cord-348010-m3a3utvz	553	8	to	to	IN
cord-348010-m3a3utvz	553	9	the	the	DT
cord-348010-m3a3utvz	553	10	whole	whole	JJ
cord-348010-m3a3utvz	553	11	population	population	NN
cord-348010-m3a3utvz	553	12	,	,	,
cord-348010-m3a3utvz	553	13	the	the	DT
cord-348010-m3a3utvz	553	14	death	death	NN
cord-348010-m3a3utvz	553	15	coefficient	coefficient	NN
cord-348010-m3a3utvz	553	16	≥	≥	NN
cord-348010-m3a3utvz	553	17	0	0	NN
cord-348010-m3a3utvz	553	18	is	be	VBZ
cord-348010-m3a3utvz	553	19	related	relate	VBN
cord-348010-m3a3utvz	553	20	to	to	IN
cord-348010-m3a3utvz	553	21	infected	infected	JJ
cord-348010-m3a3utvz	553	22	persons	person	NNS
cord-348010-m3a3utvz	553	23	,	,	,
cord-348010-m3a3utvz	553	24	is	be	VBZ
cord-348010-m3a3utvz	553	25	the	the	DT
cord-348010-m3a3utvz	553	26	migration	migration	NN
cord-348010-m3a3utvz	553	27	rate	rate	NN
cord-348010-m3a3utvz	553	28	.	.	.
cord-348010-m3a3utvz	554	1	All	all	PDT
cord-348010-m3a3utvz	554	2	these	these	DT
cord-348010-m3a3utvz	554	3	quantities	quantity	NNS
cord-348010-m3a3utvz	554	4	may	may	MD
cord-348010-m3a3utvz	554	5	be	be	VB
cord-348010-m3a3utvz	554	6	time	time	NN
cord-348010-m3a3utvz	554	7	-	-	HYPH
cord-348010-m3a3utvz	554	8	dependent	dependent	JJ
cord-348010-m3a3utvz	554	9	continuous	continuous	JJ
cord-348010-m3a3utvz	554	10	functions	function	NNS
cord-348010-m3a3utvz	554	11	.	.	.
cord-348010-m3a3utvz	555	1	The	the	DT
cord-348010-m3a3utvz	555	2	migration	migration	NN
cord-348010-m3a3utvz	555	3	rate	rate	NN
cord-348010-m3a3utvz	555	4	can	can	MD
cord-348010-m3a3utvz	555	5	be	be	VB
cord-348010-m3a3utvz	555	6	regarded	regard	VBN
cord-348010-m3a3utvz	555	7	as	as	IN
cord-348010-m3a3utvz	555	8	difference	difference	NN
cord-348010-m3a3utvz	555	9	of	of	IN
cord-348010-m3a3utvz	555	10	immigration	immigration	NN
cord-348010-m3a3utvz	555	11	and	and	CC
cord-348010-m3a3utvz	555	12	emigration	emigration	NN
cord-348010-m3a3utvz	555	13	rate	rate	NN
cord-348010-m3a3utvz	555	14	:	:	:
cord-348010-m3a3utvz	555	15	Here	here	RB
cord-348010-m3a3utvz	555	16	,	,	,
cord-348010-m3a3utvz	555	17	it	-PRON-	PRP
cord-348010-m3a3utvz	555	18	has	have	VBZ
cord-348010-m3a3utvz	555	19	been	be	VBN
cord-348010-m3a3utvz	555	20	supposed	suppose	VBN
cord-348010-m3a3utvz	555	21	that	that	IN
cord-348010-m3a3utvz	555	22	all	all	DT
cord-348010-m3a3utvz	555	23	newborns	newborn	NNS
cord-348010-m3a3utvz	555	24	are	be	VBP
cord-348010-m3a3utvz	555	25	susceptible	susceptible	JJ
cord-348010-m3a3utvz	555	26	(	(	-LRB-
cord-348010-m3a3utvz	555	27	otherwise	otherwise	RB
cord-348010-m3a3utvz	555	28	,	,	,
cord-348010-m3a3utvz	555	29	an	an	DT
cord-348010-m3a3utvz	555	30	additional	additional	JJ
cord-348010-m3a3utvz	555	31	class	class	NN
cord-348010-m3a3utvz	555	32	is	be	VBZ
cord-348010-m3a3utvz	555	33	needed	need	VBN
cord-348010-m3a3utvz	555	34	)	)	-RRB-
cord-348010-m3a3utvz	555	35	,	,	,
cord-348010-m3a3utvz	555	36	and	and	CC
cord-348010-m3a3utvz	555	37	that	that	IN
cord-348010-m3a3utvz	555	38	only	only	RB
cord-348010-m3a3utvz	555	39	infectious	infectious	JJ
cord-348010-m3a3utvz	555	40	infected	infect	VBN
cord-348010-m3a3utvz	555	41	can	can	MD
cord-348010-m3a3utvz	555	42	die	die	VB
cord-348010-m3a3utvz	555	43	caused	cause	VBN
cord-348010-m3a3utvz	555	44	by	by	IN
cord-348010-m3a3utvz	555	45	infection	infection	NN
cord-348010-m3a3utvz	555	46	.	.	.
cord-348010-m3a3utvz	556	1	The	the	DT
cord-348010-m3a3utvz	556	2	initial	initial	JJ
cord-348010-m3a3utvz	556	3	values	value	NNS
cord-348010-m3a3utvz	556	4	0	0	CD
cord-348010-m3a3utvz	556	5	,	,	,
cord-348010-m3a3utvz	556	6	0	0	CD
cord-348010-m3a3utvz	556	7	,	,	,
cord-348010-m3a3utvz	556	8	0	0	CD
cord-348010-m3a3utvz	556	9	and	and	CC
cord-348010-m3a3utvz	556	10	0	0	NFP
cord-348010-m3a3utvz	556	11	should	should	MD
cord-348010-m3a3utvz	556	12	be	be	VB
cord-348010-m3a3utvz	556	13	meaningfully	meaningfully	RB
cord-348010-m3a3utvz	556	14	between	between	IN
cord-348010-m3a3utvz	556	15	0	0	CD
cord-348010-m3a3utvz	556	16	and	and	CC
cord-348010-m3a3utvz	556	17	0	0	NFP
cord-348010-m3a3utvz	556	18	fulfilling	fulfil	VBG
cord-348010-m3a3utvz	556	19	the	the	DT
cord-348010-m3a3utvz	556	20	condition	condition	NN
cord-348010-m3a3utvz	556	21	0	0	CD
cord-348010-m3a3utvz	556	22	=	=	SYM
cord-348010-m3a3utvz	556	23	0	0	CD
cord-348010-m3a3utvz	556	24	+	+	SYM
cord-348010-m3a3utvz	556	25	0	0	CD
cord-348010-m3a3utvz	557	1	+	+	SYM
cord-348010-m3a3utvz	557	2	0	0	CD
cord-348010-m3a3utvz	557	3	+	+	SYM
cord-348010-m3a3utvz	557	4	0	0	CD
cord-348010-m3a3utvz	557	5	.	.	.
cord-348010-m3a3utvz	558	1	(	(	-LRB-
cord-348010-m3a3utvz	558	2	2.54	2.54	CD
cord-348010-m3a3utvz	558	3	)	)	-RRB-
cord-348010-m3a3utvz	559	1	It	-PRON-	PRP
cord-348010-m3a3utvz	559	2	is	be	VBZ
cord-348010-m3a3utvz	559	3	easy	easy	JJ
cord-348010-m3a3utvz	559	4	to	to	TO
cord-348010-m3a3utvz	559	5	see	see	VB
cord-348010-m3a3utvz	559	6	that	that	IN
cord-348010-m3a3utvz	559	7	the	the	DT
cord-348010-m3a3utvz	559	8	right	right	JJ
cord-348010-m3a3utvz	559	9	-	-	HYPH
cord-348010-m3a3utvz	559	10	hand	hand	NN
cord-348010-m3a3utvz	559	11	side	side	NN
cord-348010-m3a3utvz	559	12	of	of	IN
cord-348010-m3a3utvz	559	13	(	(	-LRB-
cord-348010-m3a3utvz	559	14	2.45	2.45	CD
cord-348010-m3a3utvz	559	15	)	)	-RRB-
cord-348010-m3a3utvz	559	16	for	for	IN
cord-348010-m3a3utvz	559	17	can	can	MD
cord-348010-m3a3utvz	559	18	be	be	VB
cord-348010-m3a3utvz	559	19	obtained	obtain	VBN
cord-348010-m3a3utvz	559	20	after	after	IN
cord-348010-m3a3utvz	559	21	addition	addition	NN
cord-348010-m3a3utvz	559	22	of	of	IN
cord-348010-m3a3utvz	559	23	the	the	DT
cord-348010-m3a3utvz	559	24	right	right	JJ
cord-348010-m3a3utvz	559	25	-	-	HYPH
cord-348010-m3a3utvz	559	26	hand	hand	NN
cord-348010-m3a3utvz	559	27	sides	side	NNS
cord-348010-m3a3utvz	559	28	of	of	IN
cord-348010-m3a3utvz	559	29	(	(	-LRB-
cord-348010-m3a3utvz	559	30	2.50)-(2.53	2.50)-(2.53	NNP
cord-348010-m3a3utvz	559	31	)	)	-RRB-
cord-348010-m3a3utvz	559	32	.	.	.
cord-348010-m3a3utvz	560	1	Hence	hence	RB
cord-348010-m3a3utvz	560	2	,	,	,
cord-348010-m3a3utvz	560	3	die	die	VB
cord-348010-m3a3utvz	560	4	condition	condition	NN
cord-348010-m3a3utvz	560	5	(	(	-LRB-
cord-348010-m3a3utvz	560	6	2.54	2.54	CD
cord-348010-m3a3utvz	560	7	)	)	-RRB-
cord-348010-m3a3utvz	560	8	ensures	ensure	VBZ
cord-348010-m3a3utvz	560	9	that	that	DT
cord-348010-m3a3utvz	560	10	for	for	IN
cord-348010-m3a3utvz	560	11	an	an	DT
cord-348010-m3a3utvz	560	12	existing	exist	VBG
cord-348010-m3a3utvz	560	13	unique	unique	JJ
cord-348010-m3a3utvz	560	14	solution	solution	NN
cord-348010-m3a3utvz	560	15	there	there	EX
cord-348010-m3a3utvz	560	16	holds	hold	VBZ
cord-348010-m3a3utvz	560	17	for	for	IN
cord-348010-m3a3utvz	560	18	all	all	DT
cord-348010-m3a3utvz	560	19	(	(	-LRB-
cord-348010-m3a3utvz	560	20	)	)	-RRB-
cord-348010-m3a3utvz	560	21	=	=	NFP
cord-348010-m3a3utvz	561	1	(	(	-LRB-
cord-348010-m3a3utvz	561	2	)	)	-RRB-
cord-348010-m3a3utvz	561	3	+	+	.
cord-348010-m3a3utvz	562	1	(	(	-LRB-
cord-348010-m3a3utvz	562	2	)	)	-RRB-
cord-348010-m3a3utvz	562	3	+	+	.
cord-348010-m3a3utvz	563	1	(	(	-LRB-
cord-348010-m3a3utvz	563	2	)	)	-RRB-
cord-348010-m3a3utvz	563	3	+	+	JJ
cord-348010-m3a3utvz	563	4	(	(	-LRB-
cord-348010-m3a3utvz	563	5	)	)	-RRB-
cord-348010-m3a3utvz	563	6	.	.	.
cord-348010-m3a3utvz	564	1	(	(	-LRB-
cord-348010-m3a3utvz	564	2	2.55	2.55	CD
cord-348010-m3a3utvz	564	3	)	)	-RRB-
cord-348010-m3a3utvz	565	1	Therefore	therefore	RB
cord-348010-m3a3utvz	565	2	,	,	,
cord-348010-m3a3utvz	565	3	in	in	IN
cord-348010-m3a3utvz	565	4	the	the	DT
cord-348010-m3a3utvz	565	5	equations	equation	NNS
cord-348010-m3a3utvz	565	6	(	(	-LRB-
cord-348010-m3a3utvz	565	7	2.50	2.50	CD
cord-348010-m3a3utvz	565	8	)	)	-RRB-
cord-348010-m3a3utvz	565	9	and	and	CC
cord-348010-m3a3utvz	565	10	(	(	-LRB-
cord-348010-m3a3utvz	565	11	2.51	2.51	CD
cord-348010-m3a3utvz	565	12	)	)	-RRB-
cord-348010-m3a3utvz	565	13	,	,	,
cord-348010-m3a3utvz	565	14	can	can	MD
cord-348010-m3a3utvz	565	15	be	be	VB
cord-348010-m3a3utvz	565	16	substituted	substitute	VBN
cord-348010-m3a3utvz	565	17	reducing	reduce	VBG
cord-348010-m3a3utvz	565	18	the	the	DT
cord-348010-m3a3utvz	565	19	whole	whole	JJ
cord-348010-m3a3utvz	565	20	system	system	NN
cord-348010-m3a3utvz	565	21	of	of	IN
cord-348010-m3a3utvz	565	22	equations	equation	NNS
cord-348010-m3a3utvz	565	23	.	.	.
cord-348010-m3a3utvz	566	1	Via	via	IN
cord-348010-m3a3utvz	566	2	the	the	DT
cord-348010-m3a3utvz	566	3	number	number	NN
cord-348010-m3a3utvz	566	4	of	of	IN
cord-348010-m3a3utvz	566	5	died	die	VBN
cord-348010-m3a3utvz	566	6	persons	person	NNS
cord-348010-m3a3utvz	566	7	can	can	MD
cord-348010-m3a3utvz	566	8	be	be	VB
cord-348010-m3a3utvz	566	9	calculated	calculate	VBN
cord-348010-m3a3utvz	566	10	a	a	DT
cord-348010-m3a3utvz	566	11	posteriori	posteriori	NN
cord-348010-m3a3utvz	566	12	.	.	.
cord-348010-m3a3utvz	567	1	Remark	remark	NN
cord-348010-m3a3utvz	567	2	2.9	2.9	CD
cord-348010-m3a3utvz	567	3	.	.	.
cord-348010-m3a3utvz	568	1	The	the	DT
cord-348010-m3a3utvz	568	2	numbers	number	NNS
cord-348010-m3a3utvz	568	3	,	,	,
cord-348010-m3a3utvz	568	4	etc	etc	FW
cord-348010-m3a3utvz	568	5	.	.	.
cord-348010-m3a3utvz	569	1	are	be	VBP
cord-348010-m3a3utvz	569	2	all	all	DT
cord-348010-m3a3utvz	569	3	non	non	JJ
cord-348010-m3a3utvz	569	4	-	-	JJ
cord-348010-m3a3utvz	569	5	negative	negative	JJ
cord-348010-m3a3utvz	569	6	.	.	.
cord-348010-m3a3utvz	570	1	Thus	thus	RB
cord-348010-m3a3utvz	570	2	,	,	,
cord-348010-m3a3utvz	570	3	the	the	DT
cord-348010-m3a3utvz	570	4	model	model	NN
cord-348010-m3a3utvz	570	5	allows	allow	VBZ
cord-348010-m3a3utvz	570	6	an	an	DT
cord-348010-m3a3utvz	570	7	unlimited	unlimited	JJ
cord-348010-m3a3utvz	570	8	immigration	immigration	NN
cord-348010-m3a3utvz	570	9	,	,	,
cord-348010-m3a3utvz	570	10	but	but	CC
cord-348010-m3a3utvz	570	11	not	not	RB
cord-348010-m3a3utvz	570	12	a	a	DT
cord-348010-m3a3utvz	570	13	suchlike	suchlike	JJ
cord-348010-m3a3utvz	570	14	emigration	emigration	NN
cord-348010-m3a3utvz	570	15	.	.	.
cord-348010-m3a3utvz	571	1	Strictly	strictly	RB
cord-348010-m3a3utvz	571	2	speaking	speak	VBG
cord-348010-m3a3utvz	571	3	,	,	,
cord-348010-m3a3utvz	571	4	all	all	DT
cord-348010-m3a3utvz	571	5	emigration	emigration	NN
cord-348010-m3a3utvz	571	6	rates	rate	NNS
cord-348010-m3a3utvz	571	7	,	,	,
cord-348010-m3a3utvz	571	8	etc	etc	FW
cord-348010-m3a3utvz	571	9	.	.	.
cord-348010-m3a3utvz	571	10	must	must	MD
cord-348010-m3a3utvz	571	11	be	be	VB
cord-348010-m3a3utvz	571	12	equipped	equip	VBN
cord-348010-m3a3utvz	571	13	with	with	IN
cord-348010-m3a3utvz	571	14	switch	switch	VB
cord-348010-m3a3utvz	571	15	-	-	HYPH
cord-348010-m3a3utvz	571	16	off	off	RP
cord-348010-m3a3utvz	571	17	functions	function	NNS
cord-348010-m3a3utvz	571	18	,	,	,
cord-348010-m3a3utvz	571	19	which	which	WDT
cord-348010-m3a3utvz	571	20	prevent	prevent	VBP
cord-348010-m3a3utvz	571	21	negative	negative	JJ
cord-348010-m3a3utvz	571	22	values	value	NNS
cord-348010-m3a3utvz	571	23	for	for	IN
cord-348010-m3a3utvz	571	24	,	,	,
cord-348010-m3a3utvz	571	25	etc	etc	FW
cord-348010-m3a3utvz	571	26	.	.	.
cord-348010-m3a3utvz	572	1	We	-PRON-	PRP
cord-348010-m3a3utvz	572	2	drop	drop	VBP
cord-348010-m3a3utvz	572	3	this	this	DT
cord-348010-m3a3utvz	572	4	here	here	RB
cord-348010-m3a3utvz	572	5	,	,	,
cord-348010-m3a3utvz	572	6	because	because	IN
cord-348010-m3a3utvz	572	7	in	in	IN
cord-348010-m3a3utvz	572	8	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	572	9	3	3	CD
cord-348010-m3a3utvz	572	10	there	there	RB
cord-348010-m3a3utvz	572	11	arise	arise	VBP
cord-348010-m3a3utvz	572	12	an	an	DT
cord-348010-m3a3utvz	572	13	analogous	analogous	JJ
cord-348010-m3a3utvz	572	14	problem	problem	NN
cord-348010-m3a3utvz	572	15	connected	connect	VBN
cord-348010-m3a3utvz	572	16	with	with	IN
cord-348010-m3a3utvz	572	17	the	the	DT
cord-348010-m3a3utvz	572	18	vaccination	vaccination	NN
cord-348010-m3a3utvz	572	19	rate	rate	NN
cord-348010-m3a3utvz	572	20	.	.	.
cord-348010-m3a3utvz	573	1	There	there	RB
cord-348010-m3a3utvz	573	2	,	,	,
cord-348010-m3a3utvz	573	3	a	a	DT
cord-348010-m3a3utvz	573	4	suitable	suitable	JJ
cord-348010-m3a3utvz	573	5	switch	switch	NN
cord-348010-m3a3utvz	573	6	-	-	HYPH
cord-348010-m3a3utvz	573	7	off	off	RP
cord-348010-m3a3utvz	573	8	function	function	NN
cord-348010-m3a3utvz	573	9	will	will	MD
cord-348010-m3a3utvz	573	10	be	be	VB
cord-348010-m3a3utvz	573	11	constructed	construct	VBN
cord-348010-m3a3utvz	573	12	.	.	.
cord-348010-m3a3utvz	574	1	Now	now	RB
cord-348010-m3a3utvz	574	2	it	-PRON-	PRP
cord-348010-m3a3utvz	574	3	is	be	VBZ
cord-348010-m3a3utvz	574	4	the	the	DT
cord-348010-m3a3utvz	574	5	aim	aim	NN
cord-348010-m3a3utvz	574	6	to	to	TO
cord-348010-m3a3utvz	574	7	develop	develop	VB
cord-348010-m3a3utvz	574	8	a	a	DT
cord-348010-m3a3utvz	574	9	model	model	NN
cord-348010-m3a3utvz	574	10	which	which	WDT
cord-348010-m3a3utvz	574	11	is	be	VBZ
cord-348010-m3a3utvz	574	12	better	well	RBR
cord-348010-m3a3utvz	574	13	adjusted	adjust	VBN
cord-348010-m3a3utvz	574	14	to	to	IN
cord-348010-m3a3utvz	574	15	so	so	RB
cord-348010-m3a3utvz	574	16	far	far	RB
cord-348010-m3a3utvz	574	17	known	know	VBN
cord-348010-m3a3utvz	574	18	findings	finding	NNS
cord-348010-m3a3utvz	574	19	about	about	IN
cord-348010-m3a3utvz	574	20	SARS	SARS	NNP
cord-348010-m3a3utvz	574	21	-	-	HYPH
cord-348010-m3a3utvz	574	22	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	574	23	,	,	,
cord-348010-m3a3utvz	574	24	without	without	IN
cord-348010-m3a3utvz	574	25	aspiring	aspire	VBG
cord-348010-m3a3utvz	574	26	the	the	DT
cord-348010-m3a3utvz	574	27	elaborateness	elaborateness	NN
cord-348010-m3a3utvz	574	28	in	in	IN
cord-348010-m3a3utvz	574	29	[	[	-LRB-
cord-348010-m3a3utvz	574	30	21	21	CD
cord-348010-m3a3utvz	574	31	]	]	-RRB-
cord-348010-m3a3utvz	574	32	.	.	.
cord-348010-m3a3utvz	575	1	In	in	IN
cord-348010-m3a3utvz	575	2	particular	particular	JJ
cord-348010-m3a3utvz	575	3	,	,	,
cord-348010-m3a3utvz	575	4	we	-PRON-	PRP
cord-348010-m3a3utvz	575	5	do	do	VBP
cord-348010-m3a3utvz	575	6	not	not	RB
cord-348010-m3a3utvz	575	7	divide	divide	VB
cord-348010-m3a3utvz	575	8	the	the	DT
cord-348010-m3a3utvz	575	9	classes	class	NNS
cord-348010-m3a3utvz	575	10	,	,	,
cord-348010-m3a3utvz	575	11	,	,	,
cord-348010-m3a3utvz	575	12	into	into	IN
cord-348010-m3a3utvz	575	13	further	further	JJ
cord-348010-m3a3utvz	575	14	subclasses	subclass	NNS
cord-348010-m3a3utvz	575	15	in	in	IN
cord-348010-m3a3utvz	575	16	accordance	accordance	NN
cord-348010-m3a3utvz	575	17	with	with	IN
cord-348010-m3a3utvz	575	18	social	social	JJ
cord-348010-m3a3utvz	575	19	or	or	CC
cord-348010-m3a3utvz	575	20	other	other	JJ
cord-348010-m3a3utvz	575	21	aspects	aspect	NNS
cord-348010-m3a3utvz	575	22	.	.	.
cord-348010-m3a3utvz	576	1	Some	some	DT
cord-348010-m3a3utvz	576	2	findings	finding	NNS
cord-348010-m3a3utvz	576	3	relevant	relevant	JJ
cord-348010-m3a3utvz	576	4	for	for	IN
cord-348010-m3a3utvz	576	5	modelling	modelling	NN
cord-348010-m3a3utvz	576	6	are	be	VBP
cord-348010-m3a3utvz	576	7	:	:	:
cord-348010-m3a3utvz	576	8	Latent	latent	JJ
cord-348010-m3a3utvz	576	9	and	and	CC
cord-348010-m3a3utvz	576	10	incubation	incubation	NN
cord-348010-m3a3utvz	576	11	periods	period	NNS
cord-348010-m3a3utvz	576	12	differ	differ	VBP
cord-348010-m3a3utvz	576	13	,	,	,
cord-348010-m3a3utvz	576	14	infected	infected	JJ
cord-348010-m3a3utvz	576	15	persons	person	NNS
cord-348010-m3a3utvz	576	16	are	be	VBP
cord-348010-m3a3utvz	576	17	infectious	infectious	JJ
cord-348010-m3a3utvz	576	18	after	after	IN
cord-348010-m3a3utvz	576	19	the	the	DT
cord-348010-m3a3utvz	576	20	end	end	NN
cord-348010-m3a3utvz	576	21	of	of	IN
cord-348010-m3a3utvz	576	22	incubation	incubation	NN
cord-348010-m3a3utvz	576	23	period	period	NN
cord-348010-m3a3utvz	576	24	and	and	CC
cord-348010-m3a3utvz	576	25	there	there	EX
cord-348010-m3a3utvz	576	26	exist	exist	VBP
cord-348010-m3a3utvz	576	27	infectious	infectious	JJ
cord-348010-m3a3utvz	576	28	infected	infected	JJ
cord-348010-m3a3utvz	576	29	persons	person	NNS
cord-348010-m3a3utvz	576	30	without	without	IN
cord-348010-m3a3utvz	576	31	or	or	CC
cord-348010-m3a3utvz	576	32	only	only	RB
cord-348010-m3a3utvz	576	33	with	with	IN
cord-348010-m3a3utvz	576	34	light	light	JJ
cord-348010-m3a3utvz	576	35	symptoms	symptom	NNS
cord-348010-m3a3utvz	576	36	,	,	,
cord-348010-m3a3utvz	576	37	see	see	VB
cord-348010-m3a3utvz	576	38	[	[	-LRB-
cord-348010-m3a3utvz	576	39	1,2	1,2	CD
cord-348010-m3a3utvz	576	40	]	]	-RRB-
cord-348010-m3a3utvz	576	41	,	,	.
cord-348010-m3a3utvz	577	1	e.g.	e.g.	RB
cord-348010-m3a3utvz	577	2	Thus	thus	RB
cord-348010-m3a3utvz	577	3	,	,	,
cord-348010-m3a3utvz	577	4	we	-PRON-	PRP
cord-348010-m3a3utvz	577	5	introduce	introduce	VBP
cord-348010-m3a3utvz	577	6	the	the	DT
cord-348010-m3a3utvz	577	7	class	class	NN
cord-348010-m3a3utvz	577	8	and	and	CC
cord-348010-m3a3utvz	577	9	subdivide	subdivide	VB
cord-348010-m3a3utvz	577	10	the	the	DT
cord-348010-m3a3utvz	577	11	class	class	NN
cord-348010-m3a3utvz	577	12	.	.	.
cord-348010-m3a3utvz	578	1	Additionally	additionally	RB
cord-348010-m3a3utvz	578	2	,	,	,
cord-348010-m3a3utvz	578	3	we	-PRON-	PRP
cord-348010-m3a3utvz	578	4	take	take	VBP
cord-348010-m3a3utvz	578	5	into	into	IN
cord-348010-m3a3utvz	578	6	account	account	NN
cord-348010-m3a3utvz	578	7	that	that	WDT
cord-348010-m3a3utvz	578	8	recovered	recover	VBD
cord-348010-m3a3utvz	578	9	persons	person	NNS
cord-348010-m3a3utvz	578	10	lose	lose	VBP
cord-348010-m3a3utvz	578	11	their	-PRON-	PRP$
cord-348010-m3a3utvz	578	12	acquired	acquire	VBN
cord-348010-m3a3utvz	578	13	immunity	immunity	NN
cord-348010-m3a3utvz	578	14	and	and	CC
cord-348010-m3a3utvz	578	15	that	that	IN
cord-348010-m3a3utvz	578	16	susceptible	susceptible	JJ
cord-348010-m3a3utvz	578	17	individuals	individual	NNS
cord-348010-m3a3utvz	578	18	become	become	VBP
cord-348010-m3a3utvz	578	19	temporarily	temporarily	RB
cord-348010-m3a3utvz	578	20	immune	immune	JJ
cord-348010-m3a3utvz	578	21	via	via	IN
cord-348010-m3a3utvz	578	22	vaccination	vaccination	NN
cord-348010-m3a3utvz	578	23	.	.	.
cord-348010-m3a3utvz	579	1	For	for	IN
cord-348010-m3a3utvz	579	2	a	a	DT
cord-348010-m3a3utvz	579	3	better	well	JJR
cord-348010-m3a3utvz	579	4	overview	overview	NN
cord-348010-m3a3utvz	579	5	we	-PRON-	PRP
cord-348010-m3a3utvz	579	6	assume	assume	VBP
cord-348010-m3a3utvz	579	7	a	a	DT
cord-348010-m3a3utvz	579	8	constant	constant	JJ
cord-348010-m3a3utvz	579	9	population	population	NN
cord-348010-m3a3utvz	579	10	number	number	NN
cord-348010-m3a3utvz	579	11	=	=	SYM
cord-348010-m3a3utvz	579	12	0	0	CD
cord-348010-m3a3utvz	579	13	.	.	.
cord-348010-m3a3utvz	580	1	The	the	DT
cord-348010-m3a3utvz	580	2	considerations	consideration	NNS
cord-348010-m3a3utvz	580	3	concerning	concern	VBG
cord-348010-m3a3utvz	580	4	a	a	DT
cord-348010-m3a3utvz	580	5	variable	variable	NN
cord-348010-m3a3utvz	580	6	in	in	IN
cord-348010-m3a3utvz	580	7	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	580	8	2.3.3	2.3.3	NNP
cord-348010-m3a3utvz	580	9	can	can	MD
cord-348010-m3a3utvz	580	10	be	be	VB
cord-348010-m3a3utvz	580	11	included	include	VBN
cord-348010-m3a3utvz	580	12	without	without	IN
cord-348010-m3a3utvz	580	13	any	any	DT
cord-348010-m3a3utvz	580	14	difficulties	difficulty	NNS
cord-348010-m3a3utvz	580	15	,	,	,
cord-348010-m3a3utvz	580	16	if	if	IN
cord-348010-m3a3utvz	580	17	needed	need	VBN
cord-348010-m3a3utvz	580	18	.	.	.
cord-348010-m3a3utvz	581	1	A	a	DT
cord-348010-m3a3utvz	581	2	specific	specific	JJ
cord-348010-m3a3utvz	581	3	feature	feature	NN
cord-348010-m3a3utvz	581	4	of	of	IN
cord-348010-m3a3utvz	581	5	the	the	DT
cord-348010-m3a3utvz	581	6	present	present	JJ
cord-348010-m3a3utvz	581	7	model	model	NN
cord-348010-m3a3utvz	581	8	is	be	VBZ
cord-348010-m3a3utvz	581	9	that	that	IN
cord-348010-m3a3utvz	581	10	the	the	DT
cord-348010-m3a3utvz	581	11	class	class	NN
cord-348010-m3a3utvz	581	12	of	of	IN
cord-348010-m3a3utvz	581	13	infectious	infectious	JJ
cord-348010-m3a3utvz	581	14	infected	infected	JJ
cord-348010-m3a3utvz	581	15	individuals	individual	NNS
cord-348010-m3a3utvz	581	16	I	-PRON-	PRP
cord-348010-m3a3utvz	581	17	is	be	VBZ
cord-348010-m3a3utvz	581	18	subdivided	subdivided	JJ
cord-348010-m3a3utvz	581	19	(	(	-LRB-
cord-348010-m3a3utvz	581	20	see	see	VB
cord-348010-m3a3utvz	581	21	also	also	RB
cord-348010-m3a3utvz	581	22	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	581	23	2.1.5	2.1.5	CD
cord-348010-m3a3utvz	581	24	)	)	-RRB-
cord-348010-m3a3utvz	581	25	.	.	.
cord-348010-m3a3utvz	582	1	(	(	-LRB-
cord-348010-m3a3utvz	582	2	i	i	NN
cord-348010-m3a3utvz	582	3	)	)	-RRB-
cord-348010-m3a3utvz	583	1	The	the	DT
cord-348010-m3a3utvz	583	2	class	class	NN
cord-348010-m3a3utvz	583	3	(	(	-LRB-
cord-348010-m3a3utvz	583	4	of	of	IN
cord-348010-m3a3utvz	583	5	infected	infect	VBN
cord-348010-m3a3utvz	583	6	,	,	,
cord-348010-m3a3utvz	583	7	but	but	CC
cord-348010-m3a3utvz	583	8	not	not	RB
cord-348010-m3a3utvz	583	9	infectious	infectious	JJ
cord-348010-m3a3utvz	583	10	persons	person	NNS
cord-348010-m3a3utvz	583	11	)	)	-RRB-
cord-348010-m3a3utvz	583	12	loses	lose	VBZ
cord-348010-m3a3utvz	583	13	to	to	IN
cord-348010-m3a3utvz	583	14	the	the	DT
cord-348010-m3a3utvz	583	15	class	class	NN
cord-348010-m3a3utvz	583	16	1	1	CD
cord-348010-m3a3utvz	583	17	consisting	consist	VBG
cord-348010-m3a3utvz	583	18	of	of	IN
cord-348010-m3a3utvz	583	19	individuals	individual	NNS
cord-348010-m3a3utvz	583	20	who	who	WP
cord-348010-m3a3utvz	583	21	are	be	VBP
cord-348010-m3a3utvz	583	22	already	already	RB
cord-348010-m3a3utvz	583	23	infectious	infectious	JJ
cord-348010-m3a3utvz	583	24	,	,	,
cord-348010-m3a3utvz	583	25	but	but	CC
cord-348010-m3a3utvz	583	26	they	-PRON-	PRP
cord-348010-m3a3utvz	583	27	do	do	VBP
cord-348010-m3a3utvz	583	28	not	not	RB
cord-348010-m3a3utvz	583	29	have	have	VB
cord-348010-m3a3utvz	583	30	any	any	DT
cord-348010-m3a3utvz	583	31	disease	disease	NN
cord-348010-m3a3utvz	583	32	symptoms	symptom	NNS
cord-348010-m3a3utvz	583	33	.	.	.
cord-348010-m3a3utvz	584	1	The	the	DT
cord-348010-m3a3utvz	584	2	mean	mean	JJ
cord-348010-m3a3utvz	584	3	length	length	NN
cord-348010-m3a3utvz	584	4	of	of	IN
cord-348010-m3a3utvz	584	5	stay	stay	NN
cord-348010-m3a3utvz	584	6	in	in	IN
cord-348010-m3a3utvz	584	7	1	1	CD
cord-348010-m3a3utvz	584	8	equals	equal	NNS
cord-348010-m3a3utvz	584	9	to	to	IN
cord-348010-m3a3utvz	584	10	the	the	DT
cord-348010-m3a3utvz	584	11	difference	difference	NN
cord-348010-m3a3utvz	584	12	between	between	IN
cord-348010-m3a3utvz	584	13	incubation	incubation	NN
cord-348010-m3a3utvz	584	14	and	and	CC
cord-348010-m3a3utvz	584	15	latent	latent	JJ
cord-348010-m3a3utvz	584	16	period	period	NN
cord-348010-m3a3utvz	584	17	,	,	,
cord-348010-m3a3utvz	584	18	and	and	CC
cord-348010-m3a3utvz	584	19	,	,	,
cord-348010-m3a3utvz	584	20	respectively	respectively	RB
cord-348010-m3a3utvz	584	21	.	.	.
cord-348010-m3a3utvz	585	1	(	(	-LRB-
cord-348010-m3a3utvz	585	2	ii	ii	NN
cord-348010-m3a3utvz	585	3	)	)	-RRB-
cord-348010-m3a3utvz	586	1	After	after	IN
cord-348010-m3a3utvz	586	2	the	the	DT
cord-348010-m3a3utvz	586	3	end	end	NN
cord-348010-m3a3utvz	586	4	of	of	IN
cord-348010-m3a3utvz	586	5	incubation	incubation	NN
cord-348010-m3a3utvz	586	6	period	period	NN
cord-348010-m3a3utvz	586	7	the	the	DT
cord-348010-m3a3utvz	586	8	class	class	NN
cord-348010-m3a3utvz	586	9	1	1	CD
cord-348010-m3a3utvz	586	10	loses	lose	VBZ
cord-348010-m3a3utvz	586	11	parallelly	parallelly	RB
cord-348010-m3a3utvz	586	12	to	to	IN
cord-348010-m3a3utvz	586	13	two	two	CD
cord-348010-m3a3utvz	586	14	further	further	JJ
cord-348010-m3a3utvz	586	15	classes	class	NNS
cord-348010-m3a3utvz	586	16	,	,	,
cord-348010-m3a3utvz	586	17	more	more	RBR
cord-348010-m3a3utvz	586	18	precisely	precisely	RB
cord-348010-m3a3utvz	586	19	to	to	IN
cord-348010-m3a3utvz	586	20	(	(	-LRB-
cord-348010-m3a3utvz	586	21	a	a	LS
cord-348010-m3a3utvz	586	22	)	)	-RRB-
cord-348010-m3a3utvz	586	23	21	21	CD
cord-348010-m3a3utvz	586	24	consisting	consist	VBG
cord-348010-m3a3utvz	586	25	of	of	IN
cord-348010-m3a3utvz	586	26	furthermore	furthermore	RB
cord-348010-m3a3utvz	586	27	infectious	infectious	JJ
cord-348010-m3a3utvz	586	28	infected	infected	JJ
cord-348010-m3a3utvz	586	29	persons	person	NNS
cord-348010-m3a3utvz	586	30	without	without	IN
cord-348010-m3a3utvz	586	31	or	or	CC
cord-348010-m3a3utvz	586	32	with	with	IN
cord-348010-m3a3utvz	586	33	only	only	JJ
cord-348010-m3a3utvz	586	34	weak	weak	JJ
cord-348010-m3a3utvz	586	35	symptoms	symptom	NNS
cord-348010-m3a3utvz	586	36	.	.	.
cord-348010-m3a3utvz	587	1	Thus	thus	RB
cord-348010-m3a3utvz	587	2	,	,	,
cord-348010-m3a3utvz	587	3	the	the	DT
cord-348010-m3a3utvz	587	4	affected	affect	VBN
cord-348010-m3a3utvz	587	5	are	be	VBP
cord-348010-m3a3utvz	587	6	not	not	RB
cord-348010-m3a3utvz	587	7	aware	aware	JJ
cord-348010-m3a3utvz	587	8	to	to	IN
cord-348010-m3a3utvz	587	9	their	-PRON-	PRP$
cord-348010-m3a3utvz	587	10	illness	illness	NN
cord-348010-m3a3utvz	587	11	.	.	.
cord-348010-m3a3utvz	588	1	The	the	DT
cord-348010-m3a3utvz	588	2	loss	loss	NN
cord-348010-m3a3utvz	588	3	of	of	IN
cord-348010-m3a3utvz	588	4	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	588	5	is	be	VBZ
cord-348010-m3a3utvz	588	6	assumed	assume	VBN
cord-348010-m3a3utvz	588	7	to	to	TO
cord-348010-m3a3utvz	588	8	be	be	VB
cord-348010-m3a3utvz	588	9	the	the	DT
cord-348010-m3a3utvz	588	10	beginning	beginning	NN
cord-348010-m3a3utvz	588	11	of	of	IN
cord-348010-m3a3utvz	588	12	recovery	recovery	NN
cord-348010-m3a3utvz	588	13	after	after	IN
cord-348010-m3a3utvz	588	14	a	a	DT
cord-348010-m3a3utvz	588	15	mean	mean	NN
cord-348010-m3a3utvz	588	16	'	'	``
cord-348010-m3a3utvz	588	17	disease	disease	NN
cord-348010-m3a3utvz	588	18	duration	duration	NN
cord-348010-m3a3utvz	588	19	'	'	''
cord-348010-m3a3utvz	588	20	,	,	,
cord-348010-m3a3utvz	588	21	1	1	CD
cord-348010-m3a3utvz	588	22	−	−	CD
cord-348010-m3a3utvz	588	23	;	;	:
cord-348010-m3a3utvz	589	1	(	(	-LRB-
cord-348010-m3a3utvz	589	2	b	b	NN
cord-348010-m3a3utvz	589	3	)	)	-RRB-
cord-348010-m3a3utvz	589	4	22	22	CD
cord-348010-m3a3utvz	589	5	consisting	consist	VBG
cord-348010-m3a3utvz	589	6	of	of	IN
cord-348010-m3a3utvz	589	7	furthermore	furthermore	RB
cord-348010-m3a3utvz	589	8	infectious	infectious	JJ
cord-348010-m3a3utvz	589	9	infected	infected	JJ
cord-348010-m3a3utvz	589	10	persons	person	NNS
cord-348010-m3a3utvz	589	11	exhibiting	exhibit	VBG
cord-348010-m3a3utvz	589	12	stronger	strong	JJR
cord-348010-m3a3utvz	589	13	symptoms	symptom	NNS
cord-348010-m3a3utvz	589	14	and	and	CC
cord-348010-m3a3utvz	589	15	feeling	feel	VBG
cord-348010-m3a3utvz	589	16	ill	ill	JJ
cord-348010-m3a3utvz	589	17	.	.	.
cord-348010-m3a3utvz	590	1	Thus	thus	RB
cord-348010-m3a3utvz	590	2	,	,	,
cord-348010-m3a3utvz	590	3	the	the	DT
cord-348010-m3a3utvz	590	4	affected	affect	VBN
cord-348010-m3a3utvz	590	5	are	be	VBP
cord-348010-m3a3utvz	590	6	either	either	CC
cord-348010-m3a3utvz	590	7	in	in	IN
cord-348010-m3a3utvz	590	8	home	home	NN
cord-348010-m3a3utvz	590	9	isolation	isolation	NN
cord-348010-m3a3utvz	590	10	or	or	CC
cord-348010-m3a3utvz	590	11	in	in	IN
cord-348010-m3a3utvz	590	12	a	a	DT
cord-348010-m3a3utvz	590	13	hospital	hospital	NN
cord-348010-m3a3utvz	590	14	.	.	.
cord-348010-m3a3utvz	591	1	Their	-PRON-	PRP$
cord-348010-m3a3utvz	591	2	recovery	recovery	NN
cord-348010-m3a3utvz	591	3	also	also	RB
cord-348010-m3a3utvz	591	4	starts	start	VBZ
cord-348010-m3a3utvz	591	5	with	with	IN
cord-348010-m3a3utvz	591	6	the	the	DT
cord-348010-m3a3utvz	591	7	loss	loss	NN
cord-348010-m3a3utvz	591	8	of	of	IN
cord-348010-m3a3utvz	591	9	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	591	10	after	after	IN
cord-348010-m3a3utvz	591	11	a	a	DT
cord-348010-m3a3utvz	591	12	mean	mean	NN
cord-348010-m3a3utvz	591	13	'	'	``
cord-348010-m3a3utvz	591	14	disease	disease	NN
cord-348010-m3a3utvz	591	15	duration	duration	NN
cord-348010-m3a3utvz	591	16	'	'	''
cord-348010-m3a3utvz	591	17	,	,	,
cord-348010-m3a3utvz	591	18	2	2	CD
cord-348010-m3a3utvz	591	19	−	−	NN
cord-348010-m3a3utvz	591	20	.	.	.
cord-348010-m3a3utvz	592	1	If	if	IN
cord-348010-m3a3utvz	592	2	the	the	DT
cord-348010-m3a3utvz	592	3	start	start	NN
cord-348010-m3a3utvz	592	4	of	of	IN
cord-348010-m3a3utvz	592	5	recovery	recovery	NN
cord-348010-m3a3utvz	592	6	and	and	CC
cord-348010-m3a3utvz	592	7	the	the	DT
cord-348010-m3a3utvz	592	8	end	end	NN
cord-348010-m3a3utvz	592	9	of	of	IN
cord-348010-m3a3utvz	592	10	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	592	11	do	do	VBP
cord-348010-m3a3utvz	592	12	not	not	RB
cord-348010-m3a3utvz	592	13	coincide	coincide	VB
cord-348010-m3a3utvz	592	14	,	,	,
cord-348010-m3a3utvz	592	15	then	then	RB
cord-348010-m3a3utvz	592	16	,	,	,
cord-348010-m3a3utvz	592	17	when	when	WRB
cord-348010-m3a3utvz	592	18	indicated	indicate	VBN
cord-348010-m3a3utvz	592	19	,	,	,
cord-348010-m3a3utvz	592	20	the	the	DT
cord-348010-m3a3utvz	592	21	classes	class	NNS
cord-348010-m3a3utvz	592	22	21	21	CD
cord-348010-m3a3utvz	592	23	and	and	CC
cord-348010-m3a3utvz	592	24	22	22	CD
cord-348010-m3a3utvz	592	25	have	have	VBP
cord-348010-m3a3utvz	592	26	to	to	TO
cord-348010-m3a3utvz	592	27	be	be	VB
cord-348010-m3a3utvz	592	28	subdivided	subdivide	VBN
cord-348010-m3a3utvz	592	29	further	further	RB
cord-348010-m3a3utvz	592	30	.	.	.
cord-348010-m3a3utvz	593	1	We	-PRON-	PRP
cord-348010-m3a3utvz	593	2	drop	drop	VBP
cord-348010-m3a3utvz	593	3	this	this	DT
cord-348010-m3a3utvz	593	4	here	here	RB
cord-348010-m3a3utvz	593	5	.	.	.
cord-348010-m3a3utvz	594	1	However	however	RB
cord-348010-m3a3utvz	594	2	,	,	,
cord-348010-m3a3utvz	594	3	the	the	DT
cord-348010-m3a3utvz	594	4	model	model	NN
cord-348010-m3a3utvz	594	5	allows	allow	VBZ
cord-348010-m3a3utvz	594	6	different	different	JJ
cord-348010-m3a3utvz	594	7	lengths	length	NNS
cord-348010-m3a3utvz	594	8	of	of	IN
cord-348010-m3a3utvz	594	9	disease	disease	NN
cord-348010-m3a3utvz	594	10	periods	period	NNS
cord-348010-m3a3utvz	594	11	.	.	.
cord-348010-m3a3utvz	595	1	The	the	DT
cord-348010-m3a3utvz	595	2	partition	partition	NN
cord-348010-m3a3utvz	595	3	into	into	IN
cord-348010-m3a3utvz	595	4	21	21	CD
cord-348010-m3a3utvz	595	5	and	and	CC
cord-348010-m3a3utvz	595	6	22	22	CD
cord-348010-m3a3utvz	595	7	is	be	VBZ
cord-348010-m3a3utvz	595	8	hence	hence	RB
cord-348010-m3a3utvz	595	9	relevant	relevant	JJ
cord-348010-m3a3utvz	595	10	,	,	,
cord-348010-m3a3utvz	595	11	because	because	IN
cord-348010-m3a3utvz	595	12	it	-PRON-	PRP
cord-348010-m3a3utvz	595	13	is	be	VBZ
cord-348010-m3a3utvz	595	14	plausible	plausible	JJ
cord-348010-m3a3utvz	595	15	that	that	IN
cord-348010-m3a3utvz	595	16	the	the	DT
cord-348010-m3a3utvz	595	17	individuals	individual	NNS
cord-348010-m3a3utvz	595	18	certainly	certainly	RB
cord-348010-m3a3utvz	595	19	exhibit	exhibit	VBP
cord-348010-m3a3utvz	595	20	different	different	JJ
cord-348010-m3a3utvz	595	21	contact	contact	NN
cord-348010-m3a3utvz	595	22	behaviour	behaviour	NN
cord-348010-m3a3utvz	595	23	.	.	.
cord-348010-m3a3utvz	596	1	People	People	NNS
cord-348010-m3a3utvz	596	2	with	with	IN
cord-348010-m3a3utvz	596	3	remarkable	remarkable	JJ
cord-348010-m3a3utvz	596	4	disease	disease	NN
cord-348010-m3a3utvz	596	5	symptoms	symptom	NNS
cord-348010-m3a3utvz	596	6	generally	generally	RB
cord-348010-m3a3utvz	596	7	behave	behave	VBP
cord-348010-m3a3utvz	596	8	more	more	RBR
cord-348010-m3a3utvz	596	9	carefully	carefully	RB
cord-348010-m3a3utvz	596	10	or	or	CC
cord-348010-m3a3utvz	596	11	are	be	VBP
cord-348010-m3a3utvz	596	12	even	even	RB
cord-348010-m3a3utvz	596	13	hospitalized	hospitalize	VBN
cord-348010-m3a3utvz	596	14	.	.	.
cord-348010-m3a3utvz	597	1	In	in	IN
cord-348010-m3a3utvz	597	2	both	both	DT
cord-348010-m3a3utvz	597	3	cases	case	NNS
cord-348010-m3a3utvz	597	4	one	one	PRP
cord-348010-m3a3utvz	597	5	can	can	MD
cord-348010-m3a3utvz	597	6	assume	assume	VB
cord-348010-m3a3utvz	597	7	that	that	IN
cord-348010-m3a3utvz	597	8	they	-PRON-	PRP
cord-348010-m3a3utvz	597	9	infect	infect	VBP
cord-348010-m3a3utvz	597	10	essentially	essentially	RB
cord-348010-m3a3utvz	597	11	less	less	RBR
cord-348010-m3a3utvz	597	12	susceptible	susceptible	JJ
cord-348010-m3a3utvz	597	13	persons	person	NNS
cord-348010-m3a3utvz	597	14	.	.	.
cord-348010-m3a3utvz	598	1	Summarising	summarise	VBG
cord-348010-m3a3utvz	598	2	the	the	DT
cord-348010-m3a3utvz	598	3	considerations	consideration	NNS
cord-348010-m3a3utvz	598	4	above	above	RB
cord-348010-m3a3utvz	598	5	,	,	,
cord-348010-m3a3utvz	598	6	now	now	RB
cord-348010-m3a3utvz	598	7	we	-PRON-	PRP
cord-348010-m3a3utvz	598	8	write	write	VBP
cord-348010-m3a3utvz	598	9	down	down	RP
cord-348010-m3a3utvz	598	10	all	all	DT
cord-348010-m3a3utvz	598	11	equations	equation	NNS
cord-348010-m3a3utvz	598	12	.	.	.
cord-348010-m3a3utvz	599	1	For	for	IN
cord-348010-m3a3utvz	599	2	we	-PRON-	PRP
cord-348010-m3a3utvz	599	3	present	present	VBP
cord-348010-m3a3utvz	599	4	a	a	DT
cord-348010-m3a3utvz	599	5	modified	modify	VBN
cord-348010-m3a3utvz	599	6	version	version	NN
cord-348010-m3a3utvz	599	7	of	of	IN
cord-348010-m3a3utvz	599	8	(	(	-LRB-
cord-348010-m3a3utvz	599	9	2.41	2.41	CD
cord-348010-m3a3utvz	599	10	)	)	-RRB-
cord-348010-m3a3utvz	599	11	.	.	.
cord-348010-m3a3utvz	600	1	The	the	DT
cord-348010-m3a3utvz	600	2	parameter	parameter	NN
cord-348010-m3a3utvz	600	3	fulfils	fulfil	VBZ
cord-348010-m3a3utvz	600	4	0	0	NFP
cord-348010-m3a3utvz	600	5	<	<	XX
cord-348010-m3a3utvz	600	6	<	<	XX
cord-348010-m3a3utvz	600	7	1	1	CD
cord-348010-m3a3utvz	600	8	.	.	.
cord-348010-m3a3utvz	601	1	(	(	-LRB-
cord-348010-m3a3utvz	601	2	3.7	3.7	CD
cord-348010-m3a3utvz	601	3	)	)	-RRB-
cord-348010-m3a3utvz	601	4	1	1	CD
cord-348010-m3a3utvz	601	5	−	−	NNS
cord-348010-m3a3utvz	601	6	and	and	CC
cord-348010-m3a3utvz	601	7	reflect	reflect	VB
cord-348010-m3a3utvz	601	8	the	the	DT
cord-348010-m3a3utvz	601	9	partition	partition	NN
cord-348010-m3a3utvz	601	10	of	of	IN
cord-348010-m3a3utvz	601	11	infectious	infectious	JJ
cord-348010-m3a3utvz	601	12	infected	infected	JJ
cord-348010-m3a3utvz	601	13	individuals	individual	NNS
cord-348010-m3a3utvz	601	14	from	from	IN
cord-348010-m3a3utvz	601	15	1	1	CD
cord-348010-m3a3utvz	601	16	to	to	IN
cord-348010-m3a3utvz	601	17	21	21	CD
cord-348010-m3a3utvz	601	18	and	and	CC
cord-348010-m3a3utvz	601	19	22	22	CD
cord-348010-m3a3utvz	601	20	after	after	IN
cord-348010-m3a3utvz	601	21	the	the	DT
cord-348010-m3a3utvz	601	22	end	end	NN
cord-348010-m3a3utvz	601	23	of	of	IN
cord-348010-m3a3utvz	601	24	incubation	incubation	NN
cord-348010-m3a3utvz	601	25	period	period	NN
cord-348010-m3a3utvz	601	26	.	.	.
cord-348010-m3a3utvz	602	1	is	be	VBZ
cord-348010-m3a3utvz	602	2	also	also	RB
cord-348010-m3a3utvz	602	3	called	call	VBN
cord-348010-m3a3utvz	602	4	manifestation	manifestation	NN
cord-348010-m3a3utvz	602	5	index	index	NN
cord-348010-m3a3utvz	602	6	,	,	,
cord-348010-m3a3utvz	602	7	since	since	IN
cord-348010-m3a3utvz	602	8	it	-PRON-	PRP
cord-348010-m3a3utvz	602	9	characterizes	characterize	VBZ
cord-348010-m3a3utvz	602	10	the	the	DT
cord-348010-m3a3utvz	602	11	fraction	fraction	NN
cord-348010-m3a3utvz	602	12	of	of	IN
cord-348010-m3a3utvz	602	13	ill	ill	JJ
cord-348010-m3a3utvz	602	14	persons	person	NNS
cord-348010-m3a3utvz	602	15	with	with	IN
cord-348010-m3a3utvz	602	16	remarkable	remarkable	JJ
cord-348010-m3a3utvz	602	17	symptoms	symptom	NNS
cord-348010-m3a3utvz	602	18	.	.	.
cord-348010-m3a3utvz	603	1	The	the	DT
cord-348010-m3a3utvz	603	2	time	time	NN
cord-348010-m3a3utvz	603	3	duration	duration	NN
cord-348010-m3a3utvz	603	4	,	,	,
cord-348010-m3a3utvz	603	5	1	1	CD
cord-348010-m3a3utvz	603	6	−	−	NN
cord-348010-m3a3utvz	603	7	is	be	VBZ
cord-348010-m3a3utvz	603	8	the	the	DT
cord-348010-m3a3utvz	603	9	reciprocal	reciprocal	JJ
cord-348010-m3a3utvz	603	10	value	value	NN
cord-348010-m3a3utvz	603	11	of	of	IN
cord-348010-m3a3utvz	603	12	21	21	CD
cord-348010-m3a3utvz	603	13	,	,	,
cord-348010-m3a3utvz	603	14	,	,	,
cord-348010-m3a3utvz	603	15	2	2	CD
cord-348010-m3a3utvz	603	16	−	−	NN
cord-348010-m3a3utvz	603	17	correspondingly	correspondingly	RB
cord-348010-m3a3utvz	603	18	to	to	IN
cord-348010-m3a3utvz	603	19	22	22	CD
cord-348010-m3a3utvz	603	20	.	.	.
cord-348010-m3a3utvz	604	1	,	,	,
cord-348010-m3a3utvz	604	2	1	1	CD
cord-348010-m3a3utvz	604	3	is	be	VBZ
cord-348010-m3a3utvz	604	4	the	the	DT
cord-348010-m3a3utvz	604	5	point	point	NN
cord-348010-m3a3utvz	604	6	of	of	IN
cord-348010-m3a3utvz	604	7	time	time	NN
cord-348010-m3a3utvz	604	8	of	of	IN
cord-348010-m3a3utvz	604	9	recovery	recovery	NN
cord-348010-m3a3utvz	604	10	ever	ever	RB
cord-348010-m3a3utvz	604	11	since	since	IN
cord-348010-m3a3utvz	604	12	of	of	IN
cord-348010-m3a3utvz	604	13	infection	infection	NN
cord-348010-m3a3utvz	604	14	for	for	IN
cord-348010-m3a3utvz	604	15	1	1	CD
cord-348010-m3a3utvz	604	16	and	and	CC
cord-348010-m3a3utvz	604	17	,	,	,
cord-348010-m3a3utvz	604	18	2	2	CD
cord-348010-m3a3utvz	604	19	correspondingly	correspondingly	RB
cord-348010-m3a3utvz	604	20	for	for	IN
cord-348010-m3a3utvz	604	21	2	2	CD
cord-348010-m3a3utvz	604	22	.	.	.
cord-348010-m3a3utvz	605	1	The	the	DT
cord-348010-m3a3utvz	605	2	relation	relation	NN
cord-348010-m3a3utvz	605	3	,	,	,
cord-348010-m3a3utvz	605	4	2	2	CD
cord-348010-m3a3utvz	605	5	>	>	XX
cord-348010-m3a3utvz	605	6	,	,	,
cord-348010-m3a3utvz	605	7	1	1	CD
cord-348010-m3a3utvz	605	8	seems	seem	VBZ
cord-348010-m3a3utvz	605	9	to	to	TO
cord-348010-m3a3utvz	605	10	be	be	VB
cord-348010-m3a3utvz	605	11	plausible	plausible	JJ
cord-348010-m3a3utvz	605	12	,	,	,
cord-348010-m3a3utvz	605	13	but	but	CC
cord-348010-m3a3utvz	605	14	it	-PRON-	PRP
cord-348010-m3a3utvz	605	15	has	have	VBZ
cord-348010-m3a3utvz	605	16	no	no	DT
cord-348010-m3a3utvz	605	17	mathematical	mathematical	JJ
cord-348010-m3a3utvz	605	18	relevance	relevance	NN
cord-348010-m3a3utvz	605	19	.	.	.
cord-348010-m3a3utvz	606	1	>	>	XX
cord-348010-m3a3utvz	606	2	0	0	NFP
cord-348010-m3a3utvz	606	3	is	be	VBZ
cord-348010-m3a3utvz	606	4	the	the	DT
cord-348010-m3a3utvz	606	5	lethality	lethality	NN
cord-348010-m3a3utvz	606	6	coefficient	coefficient	NN
cord-348010-m3a3utvz	606	7	,	,	,
cord-348010-m3a3utvz	606	8	the	the	DT
cord-348010-m3a3utvz	606	9	model	model	NN
cord-348010-m3a3utvz	606	10	approach	approach	NN
cord-348010-m3a3utvz	606	11	is	be	VBZ
cord-348010-m3a3utvz	606	12	,	,	,
cord-348010-m3a3utvz	606	13	that	that	IN
cord-348010-m3a3utvz	606	14	only	only	RB
cord-348010-m3a3utvz	606	15	heavily	heavily	RB
cord-348010-m3a3utvz	606	16	diseased	diseased	JJ
cord-348010-m3a3utvz	606	17	persons	person	NNS
cord-348010-m3a3utvz	606	18	die	die	VBP
cord-348010-m3a3utvz	606	19	caused	cause	VBN
cord-348010-m3a3utvz	606	20	by	by	IN
cord-348010-m3a3utvz	606	21	infection	infection	NN
cord-348010-m3a3utvz	606	22	.	.	.
cord-348010-m3a3utvz	607	1	Now	now	RB
cord-348010-m3a3utvz	607	2	,	,	,
cord-348010-m3a3utvz	607	3	the	the	DT
cord-348010-m3a3utvz	607	4	class	class	NN
cord-348010-m3a3utvz	607	5	consists	consist	VBZ
cord-348010-m3a3utvz	607	6	of	of	IN
cord-348010-m3a3utvz	607	7	individuals	individual	NNS
cord-348010-m3a3utvz	607	8	stemming	stem	VBG
cord-348010-m3a3utvz	607	9	from	from	IN
cord-348010-m3a3utvz	607	10	21	21	CD
cord-348010-m3a3utvz	607	11	and	and	CC
cord-348010-m3a3utvz	607	12	22	22	CD
cord-348010-m3a3utvz	607	13	as	as	RB
cord-348010-m3a3utvz	607	14	well	well	RB
cord-348010-m3a3utvz	607	15	as	as	IN
cord-348010-m3a3utvz	607	16	of	of	IN
cord-348010-m3a3utvz	607	17	persons	person	NNS
cord-348010-m3a3utvz	607	18	immunized	immunize	VBN
cord-348010-m3a3utvz	607	19	by	by	IN
cord-348010-m3a3utvz	607	20	vaccination	vaccination	NN
cord-348010-m3a3utvz	607	21	.	.	.
cord-348010-m3a3utvz	608	1	If	if	IN
cord-348010-m3a3utvz	608	2	recovered	recover	VBN
cord-348010-m3a3utvz	608	3	lose	lose	VB
cord-348010-m3a3utvz	608	4	their	-PRON-	PRP$
cord-348010-m3a3utvz	608	5	immunity	immunity	NN
cord-348010-m3a3utvz	608	6	,	,	,
cord-348010-m3a3utvz	608	7	they	-PRON-	PRP
cord-348010-m3a3utvz	608	8	return	return	VBP
cord-348010-m3a3utvz	608	9	to	to	IN
cord-348010-m3a3utvz	608	10	.	.	.
cord-348010-m3a3utvz	609	1	Thus	thus	RB
cord-348010-m3a3utvz	609	2	,	,	,
cord-348010-m3a3utvz	609	3	the	the	DT
cord-348010-m3a3utvz	609	4	equations	equation	NNS
cord-348010-m3a3utvz	609	5	for	for	IN
cord-348010-m3a3utvz	609	6	and	and	CC
cord-348010-m3a3utvz	609	7	arė	arė	JJ
cord-348010-m3a3utvz	609	8	 	 	_SP
cord-348010-m3a3utvz	609	9	Mostly	mostly	RB
cord-348010-m3a3utvz	609	10	,	,	,
cord-348010-m3a3utvz	609	11	one	one	PRP
cord-348010-m3a3utvz	609	12	chooses	choose	VBZ
cord-348010-m3a3utvz	609	13	0	0	CD
cord-348010-m3a3utvz	609	14	=	=	SYM
cord-348010-m3a3utvz	609	15	0	0	CD
cord-348010-m3a3utvz	609	16	,	,	,
cord-348010-m3a3utvz	609	17	but	but	CC
cord-348010-m3a3utvz	609	18	this	this	DT
cord-348010-m3a3utvz	609	19	is	be	VBZ
cord-348010-m3a3utvz	609	20	not	not	RB
cord-348010-m3a3utvz	609	21	mathematically	mathematically	RB
cord-348010-m3a3utvz	609	22	required	require	VBN
cord-348010-m3a3utvz	609	23	.	.	.
cord-348010-m3a3utvz	610	1	The	the	DT
cord-348010-m3a3utvz	610	2	initial	initial	JJ
cord-348010-m3a3utvz	610	3	values	value	NNS
cord-348010-m3a3utvz	610	4	should	should	MD
cord-348010-m3a3utvz	610	5	be	be	VB
cord-348010-m3a3utvz	610	6	consistent	consistent	JJ
cord-348010-m3a3utvz	610	7	with	with	IN
cord-348010-m3a3utvz	610	8	0	0	CD
cord-348010-m3a3utvz	610	9	,	,	,
cord-348010-m3a3utvz	610	10	therefore	therefore	RB
cord-348010-m3a3utvz	610	11	,	,	,
cord-348010-m3a3utvz	610	12	we	-PRON-	PRP
cord-348010-m3a3utvz	610	13	assume	assume	VBP
cord-348010-m3a3utvz	610	14	0	0	CD
cord-348010-m3a3utvz	610	15	=	=	SYM
cord-348010-m3a3utvz	610	16	0	0	CD
cord-348010-m3a3utvz	610	17	+	+	SYM
cord-348010-m3a3utvz	610	18	0	0	CD
cord-348010-m3a3utvz	611	1	+	+	CC
cord-348010-m3a3utvz	612	1	10	10	CD
cord-348010-m3a3utvz	612	2	+	+	SYM
cord-348010-m3a3utvz	612	3	210	210	CD
cord-348010-m3a3utvz	612	4	+	+	SYM
cord-348010-m3a3utvz	612	5	220	220	CD
cord-348010-m3a3utvz	612	6	+	+	SYM
cord-348010-m3a3utvz	612	7	0	0	CD
cord-348010-m3a3utvz	612	8	+	+	SYM
cord-348010-m3a3utvz	612	9	0	0	CD
cord-348010-m3a3utvz	612	10	.	.	.
cord-348010-m3a3utvz	613	1	(	(	-LRB-
cord-348010-m3a3utvz	613	2	3.17	3.17	CD
cord-348010-m3a3utvz	613	3	)	)	-RRB-
cord-348010-m3a3utvz	614	1	For	for	IN
cord-348010-m3a3utvz	614	2	the	the	DT
cord-348010-m3a3utvz	614	3	start	start	NN
cord-348010-m3a3utvz	614	4	of	of	IN
cord-348010-m3a3utvz	614	5	an	an	DT
cord-348010-m3a3utvz	614	6	infection	infection	NN
cord-348010-m3a3utvz	614	7	there	there	EX
cord-348010-m3a3utvz	614	8	must	must	MD
cord-348010-m3a3utvz	614	9	hold	hold	VB
cord-348010-m3a3utvz	614	10	as	as	RB
cord-348010-m3a3utvz	614	11	minimal	minimal	JJ
cord-348010-m3a3utvz	614	12	requirement	requirement	NN
cord-348010-m3a3utvz	614	13	0	0	CD
cord-348010-m3a3utvz	614	14	+	+	SYM
cord-348010-m3a3utvz	614	15	10	10	CD
cord-348010-m3a3utvz	614	16	+	+	SYM
cord-348010-m3a3utvz	614	17	210	210	CD
cord-348010-m3a3utvz	614	18	+	+	SYM
cord-348010-m3a3utvz	614	19	220	220	CD
cord-348010-m3a3utvz	614	20	>	>	XX
cord-348010-m3a3utvz	614	21	0	0	NFP
cord-348010-m3a3utvz	614	22	(	(	-LRB-
cord-348010-m3a3utvz	614	23	3	3	CD
cord-348010-m3a3utvz	614	24	.	.	.
cord-348010-m3a3utvz	614	25	18	18	CD
cord-348010-m3a3utvz	614	26	)	)	-RRB-
cord-348010-m3a3utvz	615	1	Again	again	RB
cord-348010-m3a3utvz	615	2	,	,	,
cord-348010-m3a3utvz	615	3	this	this	DT
cord-348010-m3a3utvz	615	4	is	be	VBZ
cord-348010-m3a3utvz	615	5	not	not	RB
cord-348010-m3a3utvz	615	6	an	an	DT
cord-348010-m3a3utvz	615	7	actual	actual	JJ
cord-348010-m3a3utvz	615	8	mathematical	mathematical	JJ
cord-348010-m3a3utvz	615	9	assumption	assumption	NN
cord-348010-m3a3utvz	615	10	,	,	,
cord-348010-m3a3utvz	615	11	but	but	CC
cord-348010-m3a3utvz	615	12	a	a	DT
cord-348010-m3a3utvz	615	13	vanishing	vanish	VBG
cord-348010-m3a3utvz	615	14	sum	sum	NN
cord-348010-m3a3utvz	615	15	in	in	IN
cord-348010-m3a3utvz	615	16	(	(	-LRB-
cord-348010-m3a3utvz	615	17	3.18	3.18	CD
cord-348010-m3a3utvz	615	18	)	)	-RRB-
cord-348010-m3a3utvz	615	19	very	very	RB
cord-348010-m3a3utvz	615	20	simplifies	simplify	VBZ
cord-348010-m3a3utvz	615	21	the	the	DT
cord-348010-m3a3utvz	615	22	problem	problem	NN
cord-348010-m3a3utvz	615	23	.	.	.
cord-348010-m3a3utvz	616	1	Remarks	remark	NNS
cord-348010-m3a3utvz	616	2	3.1	3.1	CD
cord-348010-m3a3utvz	616	3	.	.	.
cord-348010-m3a3utvz	617	1	(	(	-LRB-
cord-348010-m3a3utvz	617	2	i	i	NN
cord-348010-m3a3utvz	617	3	)	)	-RRB-
cord-348010-m3a3utvz	618	1	(	(	-LRB-
cord-348010-m3a3utvz	618	2	Different	different	JJ
cord-348010-m3a3utvz	618	3	durations	duration	NNS
cord-348010-m3a3utvz	618	4	of	of	IN
cord-348010-m3a3utvz	618	5	immunity	immunity	NN
cord-348010-m3a3utvz	618	6	)	)	-RRB-
cord-348010-m3a3utvz	619	1	In	in	IN
cord-348010-m3a3utvz	619	2	the	the	DT
cord-348010-m3a3utvz	619	3	model	model	NN
cord-348010-m3a3utvz	619	4	,	,	,
cord-348010-m3a3utvz	619	5	it	-PRON-	PRP
cord-348010-m3a3utvz	619	6	is	be	VBZ
cord-348010-m3a3utvz	619	7	implemented	implement	VBN
cord-348010-m3a3utvz	619	8	that	that	IN
cord-348010-m3a3utvz	619	9	recovered	recover	VBN
cord-348010-m3a3utvz	619	10	and	and	CC
cord-348010-m3a3utvz	619	11	vaccinated	vaccinate	VBN
cord-348010-m3a3utvz	619	12	susceptible	susceptible	JJ
cord-348010-m3a3utvz	619	13	persons	person	NNS
cord-348010-m3a3utvz	619	14	have	have	VBP
cord-348010-m3a3utvz	619	15	immunity	immunity	NN
cord-348010-m3a3utvz	619	16	of	of	IN
cord-348010-m3a3utvz	619	17	the	the	DT
cord-348010-m3a3utvz	619	18	same	same	JJ
cord-348010-m3a3utvz	619	19	mean	mean	JJ
cord-348010-m3a3utvz	619	20	duration	duration	NN
cord-348010-m3a3utvz	619	21	1	1	CD
cord-348010-m3a3utvz	619	22	∕	∕	CD
cord-348010-m3a3utvz	619	23	.	.	.
cord-348010-m3a3utvz	620	1	If	if	IN
cord-348010-m3a3utvz	620	2	this	this	DT
cord-348010-m3a3utvz	620	3	is	be	VBZ
cord-348010-m3a3utvz	620	4	not	not	RB
cord-348010-m3a3utvz	620	5	the	the	DT
cord-348010-m3a3utvz	620	6	case	case	NN
cord-348010-m3a3utvz	620	7	,	,	,
cord-348010-m3a3utvz	620	8	one	one	PRP
cord-348010-m3a3utvz	620	9	could	could	MD
cord-348010-m3a3utvz	620	10	consider	consider	VB
cord-348010-m3a3utvz	620	11	a	a	DT
cord-348010-m3a3utvz	620	12	further	further	JJ
cord-348010-m3a3utvz	620	13	class	class	NN
cord-348010-m3a3utvz	620	14	of	of	IN
cord-348010-m3a3utvz	620	15	"	"	``
cord-348010-m3a3utvz	620	16	immune	immune	JJ
cord-348010-m3a3utvz	620	17	after	after	IN
cord-348010-m3a3utvz	620	18	vaccination	vaccination	NN
cord-348010-m3a3utvz	620	19	"	"	''
cord-348010-m3a3utvz	620	20	.	.	.
cord-348010-m3a3utvz	621	1	Equally	equally	RB
cord-348010-m3a3utvz	621	2	,	,	,
cord-348010-m3a3utvz	621	3	a	a	DT
cord-348010-m3a3utvz	621	4	further	further	JJ
cord-348010-m3a3utvz	621	5	class	class	NN
cord-348010-m3a3utvz	621	6	could	could	MD
cord-348010-m3a3utvz	621	7	be	be	VB
cord-348010-m3a3utvz	621	8	convenient	convenient	JJ
cord-348010-m3a3utvz	621	9	,	,	,
cord-348010-m3a3utvz	621	10	if	if	IN
cord-348010-m3a3utvz	621	11	for	for	IN
cord-348010-m3a3utvz	621	12	instance	instance	NN
cord-348010-m3a3utvz	621	13	recovered	recover	VBN
cord-348010-m3a3utvz	621	14	persons	person	NNS
cord-348010-m3a3utvz	621	15	are	be	VBP
cord-348010-m3a3utvz	621	16	permanently	permanently	RB
cord-348010-m3a3utvz	621	17	immune	immune	JJ
cord-348010-m3a3utvz	621	18	and	and	CC
cord-348010-m3a3utvz	621	19	vaccinated	vaccinated	JJ
cord-348010-m3a3utvz	621	20	ones	one	NNS
cord-348010-m3a3utvz	621	21	only	only	RB
cord-348010-m3a3utvz	621	22	for	for	IN
cord-348010-m3a3utvz	621	23	some	some	DT
cord-348010-m3a3utvz	621	24	time	time	NN
cord-348010-m3a3utvz	621	25	.	.	.
cord-348010-m3a3utvz	622	1	The	the	DT
cord-348010-m3a3utvz	622	2	first	first	JJ
cord-348010-m3a3utvz	622	3	addend	addend	NN
cord-348010-m3a3utvz	622	4	represents	represent	VBZ
cord-348010-m3a3utvz	622	5	the	the	DT
cord-348010-m3a3utvz	622	6	1	1	CD
cord-348010-m3a3utvz	622	7	individuals	individual	NNS
cord-348010-m3a3utvz	622	8	,	,	,
cord-348010-m3a3utvz	622	9	the	the	DT
cord-348010-m3a3utvz	622	10	second	second	JJ
cord-348010-m3a3utvz	622	11	one	one	CD
cord-348010-m3a3utvz	622	12	21	21	CD
cord-348010-m3a3utvz	622	13	members	member	NNS
cord-348010-m3a3utvz	622	14	,	,	,
cord-348010-m3a3utvz	622	15	and	and	CC
cord-348010-m3a3utvz	622	16	,	,	,
cord-348010-m3a3utvz	622	17	finally	finally	RB
cord-348010-m3a3utvz	622	18	,	,	,
cord-348010-m3a3utvz	622	19	the	the	DT
cord-348010-m3a3utvz	622	20	third	third	JJ
cord-348010-m3a3utvz	622	21	one	one	NN
cord-348010-m3a3utvz	622	22	is	be	VBZ
cord-348010-m3a3utvz	622	23	related	relate	VBN
cord-348010-m3a3utvz	622	24	to	to	IN
cord-348010-m3a3utvz	622	25	22	22	CD
cord-348010-m3a3utvz	622	26	individuals	individual	NNS
cord-348010-m3a3utvz	622	27	,	,	,
cord-348010-m3a3utvz	622	28	taking	take	VBG
cord-348010-m3a3utvz	622	29	the	the	DT
cord-348010-m3a3utvz	622	30	infection	infection	NN
cord-348010-m3a3utvz	622	31	-	-	HYPH
cord-348010-m3a3utvz	622	32	related	relate	VBN
cord-348010-m3a3utvz	622	33	death	death	NN
cord-348010-m3a3utvz	622	34	coefficient	coefficient	NN
cord-348010-m3a3utvz	622	35	into	into	IN
cord-348010-m3a3utvz	622	36	account	account	NN
cord-348010-m3a3utvz	622	37	(	(	-LRB-
cord-348010-m3a3utvz	622	38	see	see	VB
cord-348010-m3a3utvz	622	39	Remark	remark	NN
cord-348010-m3a3utvz	622	40	4.6	4.6	CD
cord-348010-m3a3utvz	622	41	for	for	IN
cord-348010-m3a3utvz	622	42	reasoning	reason	VBG
cord-348010-m3a3utvz	622	43	)	)	-RRB-
cord-348010-m3a3utvz	622	44	.	.	.
cord-348010-m3a3utvz	623	1	Moreover	moreover	RB
cord-348010-m3a3utvz	623	2	,	,	,
cord-348010-m3a3utvz	623	3	after	after	IN
cord-348010-m3a3utvz	623	4	incubation	incubation	NN
cord-348010-m3a3utvz	623	5	period	period	NN
cord-348010-m3a3utvz	623	6	,	,	,
cord-348010-m3a3utvz	623	7	an	an	DT
cord-348010-m3a3utvz	623	8	infected	infected	JJ
cord-348010-m3a3utvz	623	9	individual	individual	NN
cord-348010-m3a3utvz	623	10	belongs	belong	VBZ
cord-348010-m3a3utvz	623	11	to	to	IN
cord-348010-m3a3utvz	623	12	22	22	CD
cord-348010-m3a3utvz	623	13	with	with	IN
cord-348010-m3a3utvz	623	14	the	the	DT
cord-348010-m3a3utvz	623	15	probability	probability	NN
cord-348010-m3a3utvz	623	16	and	and	CC
cord-348010-m3a3utvz	623	17	to	to	IN
cord-348010-m3a3utvz	623	18	21	21	CD
cord-348010-m3a3utvz	623	19	with	with	IN
cord-348010-m3a3utvz	623	20	the	the	DT
cord-348010-m3a3utvz	623	21	probability	probability	NN
cord-348010-m3a3utvz	623	22	1	1	CD
cord-348010-m3a3utvz	623	23	−	−	NN
cord-348010-m3a3utvz	623	24	.	.	.
cord-348010-m3a3utvz	624	1	Hence	hence	RB
cord-348010-m3a3utvz	624	2	,	,	,
cord-348010-m3a3utvz	624	3	one	one	PRP
cord-348010-m3a3utvz	624	4	gets	get	VBZ
cord-348010-m3a3utvz	624	5	the	the	DT
cord-348010-m3a3utvz	624	6	following	follow	VBG
cord-348010-m3a3utvz	624	7	(	(	-LRB-
cord-348010-m3a3utvz	624	8	virtual	virtual	JJ
cord-348010-m3a3utvz	624	9	)	)	-RRB-
cord-348010-m3a3utvz	624	10	replacement	replacement	NN
cord-348010-m3a3utvz	624	11	number	number	NN
cord-348010-m3a3utvz	624	12	(	(	-LRB-
cord-348010-m3a3utvz	624	13	reproduction	reproduction	NN
cord-348010-m3a3utvz	624	14	number	number	NN
cord-348010-m3a3utvz	624	15	)	)	-RRB-
cord-348010-m3a3utvz	624	16	,	,	,
cord-348010-m3a3utvz	624	17	observing	observe	VBG
cord-348010-m3a3utvz	624	18	(	(	-LRB-
cord-348010-m3a3utvz	624	19	2.16	2.16	CD
cord-348010-m3a3utvz	624	20	)	)	-RRB-
cord-348010-m3a3utvz	624	21	.	.	.
cord-348010-m3a3utvz	624	22	 	 	_SP
cord-348010-m3a3utvz	625	1	The	the	DT
cord-348010-m3a3utvz	625	2	term	term	NN
cord-348010-m3a3utvz	625	3	(	(	-LRB-
cord-348010-m3a3utvz	625	4	)	)	-RRB-
cord-348010-m3a3utvz	625	5	in	in	IN
cord-348010-m3a3utvz	625	6	(	(	-LRB-
cord-348010-m3a3utvz	625	7	3.1	3.1	CD
cord-348010-m3a3utvz	625	8	)	)	-RRB-
cord-348010-m3a3utvz	625	9	,	,	,
cord-348010-m3a3utvz	625	10	the	the	DT
cord-348010-m3a3utvz	625	11	vaccination	vaccination	NN
cord-348010-m3a3utvz	625	12	rate	rate	NN
cord-348010-m3a3utvz	625	13	,	,	,
cord-348010-m3a3utvz	625	14	indicates	indicate	VBZ
cord-348010-m3a3utvz	625	15	how	how	WRB
cord-348010-m3a3utvz	625	16	many	many	JJ
cord-348010-m3a3utvz	625	17	persons	person	NNS
cord-348010-m3a3utvz	625	18	are	be	VBP
cord-348010-m3a3utvz	625	19	vaccinated	vaccinate	VBN
cord-348010-m3a3utvz	625	20	in	in	IN
cord-348010-m3a3utvz	625	21	a	a	DT
cord-348010-m3a3utvz	625	22	time	time	NN
cord-348010-m3a3utvz	625	23	unit	unit	NN
cord-348010-m3a3utvz	625	24	.	.	.
cord-348010-m3a3utvz	626	1	The	the	DT
cord-348010-m3a3utvz	626	2	part	part	NN
cord-348010-m3a3utvz	626	3	is	be	VBZ
cord-348010-m3a3utvz	626	4	the	the	DT
cord-348010-m3a3utvz	626	5	actual	actual	JJ
cord-348010-m3a3utvz	626	6	vaccination	vaccination	NN
cord-348010-m3a3utvz	626	7	rate	rate	NN
cord-348010-m3a3utvz	626	8	.	.	.
cord-348010-m3a3utvz	627	1	It	-PRON-	PRP
cord-348010-m3a3utvz	627	2	is	be	VBZ
cord-348010-m3a3utvz	627	3	justified	justify	VBN
cord-348010-m3a3utvz	627	4	,	,	,
cord-348010-m3a3utvz	627	5	if	if	IN
cord-348010-m3a3utvz	627	6	there	there	EX
cord-348010-m3a3utvz	627	7	are	be	VBP
cord-348010-m3a3utvz	627	8	sufficiently	sufficiently	RB
cord-348010-m3a3utvz	627	9	many	many	JJ
cord-348010-m3a3utvz	627	10	persons	person	NNS
cord-348010-m3a3utvz	627	11	for	for	IN
cord-348010-m3a3utvz	627	12	vaccination	vaccination	NN
cord-348010-m3a3utvz	627	13	.	.	.
cord-348010-m3a3utvz	628	1	This	this	DT
cord-348010-m3a3utvz	628	2	is	be	VBZ
cord-348010-m3a3utvz	628	3	surely	surely	RB
cord-348010-m3a3utvz	628	4	the	the	DT
cord-348010-m3a3utvz	628	5	case	case	NN
cord-348010-m3a3utvz	628	6	at	at	IN
cord-348010-m3a3utvz	628	7	begin	begin	NN
cord-348010-m3a3utvz	628	8	of	of	IN
cord-348010-m3a3utvz	628	9	a	a	DT
cord-348010-m3a3utvz	628	10	vaccination	vaccination	NN
cord-348010-m3a3utvz	628	11	campaign	campaign	NN
cord-348010-m3a3utvz	628	12	.	.	.
cord-348010-m3a3utvz	629	1	The	the	DT
cord-348010-m3a3utvz	629	2	part	part	NN
cord-348010-m3a3utvz	629	3	(	(	-LRB-
cord-348010-m3a3utvz	629	4	)	)	-RRB-
cord-348010-m3a3utvz	629	5	is	be	VBZ
cord-348010-m3a3utvz	629	6	a	a	DT
cord-348010-m3a3utvz	629	7	control	control	NN
cord-348010-m3a3utvz	629	8	function	function	NN
cord-348010-m3a3utvz	629	9	.	.	.
cord-348010-m3a3utvz	630	1	If	if	IN
cord-348010-m3a3utvz	630	2	there	there	EX
cord-348010-m3a3utvz	630	3	are	be	VBP
cord-348010-m3a3utvz	630	4	no	no	DT
cord-348010-m3a3utvz	630	5	persons	person	NNS
cord-348010-m3a3utvz	630	6	to	to	TO
cord-348010-m3a3utvz	630	7	be	be	VB
cord-348010-m3a3utvz	630	8	vaccinated	vaccinate	VBN
cord-348010-m3a3utvz	630	9	,	,	,
cord-348010-m3a3utvz	630	10	the	the	DT
cord-348010-m3a3utvz	630	11	vaccination	vaccination	NN
cord-348010-m3a3utvz	630	12	process	process	NN
cord-348010-m3a3utvz	630	13	ends	end	VBZ
cord-348010-m3a3utvz	630	14	.	.	.
cord-348010-m3a3utvz	631	1	Otherwise	otherwise	RB
cord-348010-m3a3utvz	631	2	,	,	,
cord-348010-m3a3utvz	631	3	the	the	DT
cord-348010-m3a3utvz	631	4	function	function	NN
cord-348010-m3a3utvz	631	5	would	would	MD
cord-348010-m3a3utvz	631	6	be	be	VB
cord-348010-m3a3utvz	631	7	sometime	sometime	RB
cord-348010-m3a3utvz	631	8	negative	negative	JJ
cord-348010-m3a3utvz	631	9	for	for	IN
cord-348010-m3a3utvz	631	10	mathematical	mathematical	JJ
cord-348010-m3a3utvz	631	11	reason	reason	NN
cord-348010-m3a3utvz	631	12	.	.	.
cord-348010-m3a3utvz	632	1	For	for	IN
cord-348010-m3a3utvz	632	2	the	the	DT
cord-348010-m3a3utvz	632	3	actual	actual	JJ
cord-348010-m3a3utvz	632	4	vaccination	vaccination	NN
cord-348010-m3a3utvz	632	5	rate	rate	NN
cord-348010-m3a3utvz	632	6	we	-PRON-	PRP
cord-348010-m3a3utvz	632	7	propose	propose	VBP
cord-348010-m3a3utvz	632	8	a	a	DT
cord-348010-m3a3utvz	632	9	piece	piece	NN
cord-348010-m3a3utvz	632	10	-	-	HYPH
cord-348010-m3a3utvz	632	11	wise	wise	JJ
cord-348010-m3a3utvz	632	12	linear	linear	JJ
cord-348010-m3a3utvz	632	13	approach	approach	NN
cord-348010-m3a3utvz	632	14	:	:	:
cord-348010-m3a3utvz	632	15	The	the	DT
cord-348010-m3a3utvz	632	16	formula	formula	NN
cord-348010-m3a3utvz	632	17	(	(	-LRB-
cord-348010-m3a3utvz	632	18	3.21	3.21	CD
cord-348010-m3a3utvz	632	19	)	)	-RRB-
cord-348010-m3a3utvz	632	20	means	mean	VBZ
cord-348010-m3a3utvz	632	21	that	that	IN
cord-348010-m3a3utvz	632	22	for	for	IN
cord-348010-m3a3utvz	632	23	1	1	CD
cord-348010-m3a3utvz	632	24	=	=	SYM
cord-348010-m3a3utvz	632	25	0	0	NFP
cord-348010-m3a3utvz	632	26	the	the	DT
cord-348010-m3a3utvz	632	27	vaccination	vaccination	NN
cord-348010-m3a3utvz	632	28	campaign	campaign	NN
cord-348010-m3a3utvz	632	29	starts	start	VBZ
cord-348010-m3a3utvz	632	30	with	with	IN
cord-348010-m3a3utvz	632	31	the	the	DT
cord-348010-m3a3utvz	632	32	begin	begin	NN
cord-348010-m3a3utvz	632	33	of	of	IN
cord-348010-m3a3utvz	632	34	infection	infection	NN
cord-348010-m3a3utvz	632	35	.	.	.
cord-348010-m3a3utvz	633	1	In	in	IN
cord-348010-m3a3utvz	633	2	the	the	DT
cord-348010-m3a3utvz	633	3	current	current	JJ
cord-348010-m3a3utvz	633	4	case	case	NN
cord-348010-m3a3utvz	633	5	of	of	IN
cord-348010-m3a3utvz	633	6	COVID-19	COVID-19	NNP
cord-348010-m3a3utvz	633	7	this	this	DT
cord-348010-m3a3utvz	633	8	is	be	VBZ
cord-348010-m3a3utvz	633	9	impossible	impossible	JJ
cord-348010-m3a3utvz	633	10	,	,	,
cord-348010-m3a3utvz	633	11	hence	hence	RB
cord-348010-m3a3utvz	633	12	,	,	,
cord-348010-m3a3utvz	633	13	a	a	DT
cord-348010-m3a3utvz	633	14	begin	begin	NN
cord-348010-m3a3utvz	633	15	at	at	IN
cord-348010-m3a3utvz	633	16	1	1	CD
cord-348010-m3a3utvz	633	17	>	>	SYM
cord-348010-m3a3utvz	633	18	0	0	NFP
cord-348010-m3a3utvz	633	19	reflects	reflect	VBZ
cord-348010-m3a3utvz	633	20	the	the	DT
cord-348010-m3a3utvz	633	21	real	real	JJ
cord-348010-m3a3utvz	633	22	situation	situation	NN
cord-348010-m3a3utvz	633	23	.	.	.
cord-348010-m3a3utvz	634	1	After	after	IN
cord-348010-m3a3utvz	634	2	that	that	DT
cord-348010-m3a3utvz	634	3	,	,	,
cord-348010-m3a3utvz	634	4	grows	grow	VBZ
cord-348010-m3a3utvz	634	5	linearly	linearly	RB
cord-348010-m3a3utvz	634	6	up	up	IN
cord-348010-m3a3utvz	634	7	to	to	IN
cord-348010-m3a3utvz	634	8	the	the	DT
cord-348010-m3a3utvz	634	9	final	final	JJ
cord-348010-m3a3utvz	634	10	rate	rate	NN
cord-348010-m3a3utvz	634	11	1	1	CD
cord-348010-m3a3utvz	634	12	,	,	,
cord-348010-m3a3utvz	634	13	i.e.	i.e.	FW
cord-348010-m3a3utvz	634	14	,	,	,
cord-348010-m3a3utvz	634	15	the	the	DT
cord-348010-m3a3utvz	634	16	limit	limit	NN
cord-348010-m3a3utvz	634	17	of	of	IN
cord-348010-m3a3utvz	634	18	capacity	capacity	NN
cord-348010-m3a3utvz	634	19	is	be	VBZ
cord-348010-m3a3utvz	634	20	reached	reach	VBN
cord-348010-m3a3utvz	634	21	.	.	.
cord-348010-m3a3utvz	635	1	This	this	DT
cord-348010-m3a3utvz	635	2	approach	approach	NN
cord-348010-m3a3utvz	635	3	seems	seem	VBZ
cord-348010-m3a3utvz	635	4	to	to	TO
cord-348010-m3a3utvz	635	5	be	be	VB
cord-348010-m3a3utvz	635	6	realistic	realistic	JJ
cord-348010-m3a3utvz	635	7	for	for	IN
cord-348010-m3a3utvz	635	8	a	a	DT
cord-348010-m3a3utvz	635	9	new	new	JJ
cord-348010-m3a3utvz	635	10	vaccine	vaccine	NN
cord-348010-m3a3utvz	635	11	which	which	WDT
cord-348010-m3a3utvz	635	12	production	production	NN
cord-348010-m3a3utvz	635	13	has	have	VBZ
cord-348010-m3a3utvz	635	14	to	to	TO
cord-348010-m3a3utvz	635	15	be	be	VB
cord-348010-m3a3utvz	635	16	start	start	VB
cord-348010-m3a3utvz	635	17	-	-	HYPH
cord-348010-m3a3utvz	635	18	up	up	NN
cord-348010-m3a3utvz	635	19	and	and	CC
cord-348010-m3a3utvz	635	20	its	-PRON-	PRP$
cord-348010-m3a3utvz	635	21	distribution	distribution	NN
cord-348010-m3a3utvz	635	22	surely	surely	RB
cord-348010-m3a3utvz	635	23	has	have	VBZ
cord-348010-m3a3utvz	635	24	to	to	TO
cord-348010-m3a3utvz	635	25	be	be	VB
cord-348010-m3a3utvz	635	26	improved	improve	VBN
cord-348010-m3a3utvz	635	27	.	.	.
cord-348010-m3a3utvz	636	1	Clearly	clearly	RB
cord-348010-m3a3utvz	636	2	,	,	,
cord-348010-m3a3utvz	636	3	instead	instead	RB
cord-348010-m3a3utvz	636	4	of	of	IN
cord-348010-m3a3utvz	636	5	(	(	-LRB-
cord-348010-m3a3utvz	636	6	3.21	3.21	CD
cord-348010-m3a3utvz	636	7	)	)	-RRB-
cord-348010-m3a3utvz	636	8	other	other	JJ
cord-348010-m3a3utvz	636	9	approaches	approach	NNS
cord-348010-m3a3utvz	636	10	are	be	VBP
cord-348010-m3a3utvz	636	11	possible	possible	JJ
cord-348010-m3a3utvz	636	12	.	.	.
cord-348010-m3a3utvz	637	1	The	the	DT
cord-348010-m3a3utvz	637	2	constant	constant	JJ
cord-348010-m3a3utvz	637	3	1	1	CD
cord-348010-m3a3utvz	637	4	has	have	VBZ
cord-348010-m3a3utvz	637	5	the	the	DT
cord-348010-m3a3utvz	637	6	dimension	dimension	NN
cord-348010-m3a3utvz	637	7	∕	∕	JJ
cord-348010-m3a3utvz	637	8	,	,	,
cord-348010-m3a3utvz	637	9	persons	person	NNS
cord-348010-m3a3utvz	637	10	per	per	IN
cord-348010-m3a3utvz	637	11	time	time	NN
cord-348010-m3a3utvz	637	12	.	.	.
cord-348010-m3a3utvz	638	1	The	the	DT
cord-348010-m3a3utvz	638	2	control	control	NN
cord-348010-m3a3utvz	638	3	function	function	NN
cord-348010-m3a3utvz	638	4	(	(	-LRB-
cord-348010-m3a3utvz	638	5	)	)	-RRB-
cord-348010-m3a3utvz	638	6	ensures	ensure	VBZ
cord-348010-m3a3utvz	638	7	that	that	IN
cord-348010-m3a3utvz	638	8	the	the	DT
cord-348010-m3a3utvz	638	9	vaccination	vaccination	NN
cord-348010-m3a3utvz	638	10	campaign	campaign	NN
cord-348010-m3a3utvz	638	11	ends	end	VBZ
cord-348010-m3a3utvz	638	12	,	,	,
cord-348010-m3a3utvz	638	13	if	if	IN
cord-348010-m3a3utvz	638	14	the	the	DT
cord-348010-m3a3utvz	638	15	number	number	NN
cord-348010-m3a3utvz	638	16	of	of	IN
cord-348010-m3a3utvz	638	17	susceptible	susceptible	JJ
cord-348010-m3a3utvz	638	18	persons	person	NNS
cord-348010-m3a3utvz	638	19	comes	come	VBZ
cord-348010-m3a3utvz	638	20	up	up	IN
cord-348010-m3a3utvz	638	21	to	to	IN
cord-348010-m3a3utvz	638	22	zero	zero	CD
cord-348010-m3a3utvz	638	23	.	.	.
cord-348010-m3a3utvz	639	1	At	at	IN
cord-348010-m3a3utvz	639	2	first	first	RB
cord-348010-m3a3utvz	639	3	we	-PRON-	PRP
cord-348010-m3a3utvz	639	4	define	define	VBP
cord-348010-m3a3utvz	639	5	a	a	DT
cord-348010-m3a3utvz	639	6	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	639	7	cut	cut	NN
cord-348010-m3a3utvz	639	8	function	function	NN
cord-348010-m3a3utvz	639	9	for	for	IN
cord-348010-m3a3utvz	639	10	an	an	DT
cord-348010-m3a3utvz	639	11	arbitrarily	arbitrarily	RB
cord-348010-m3a3utvz	639	12	chosen	choose	VBN
cord-348010-m3a3utvz	639	13	and	and	CC
cord-348010-m3a3utvz	639	14	fixed	fix	VBN
cord-348010-m3a3utvz	640	1	>	>	XX
cord-348010-m3a3utvz	640	2	0	0	NFP
cord-348010-m3a3utvz	640	3	via	via	IN
cord-348010-m3a3utvz	640	4	,	,	,
cord-348010-m3a3utvz	640	5	for	for	IN
cord-348010-m3a3utvz	640	6	0	0	CD
cord-348010-m3a3utvz	640	7	≤	≤	NN
cord-348010-m3a3utvz	640	8	≤	≤	NN
cord-348010-m3a3utvz	640	9	,	,	,
cord-348010-m3a3utvz	640	10	0	0	CD
cord-348010-m3a3utvz	640	11	,	,	,
cord-348010-m3a3utvz	640	12	for	for	IN
cord-348010-m3a3utvz	640	13	<	<	XX
cord-348010-m3a3utvz	640	14	0	0	NFP
cord-348010-m3a3utvz	640	15	.	.	.
cord-348010-m3a3utvz	641	1	(	(	-LRB-
cord-348010-m3a3utvz	641	2	3.23	3.23	CD
cord-348010-m3a3utvz	641	3	)	)	-RRB-
cord-348010-m3a3utvz	642	1	The	the	DT
cord-348010-m3a3utvz	642	2	slope	slope	NN
cord-348010-m3a3utvz	642	3	of	of	IN
cord-348010-m3a3utvz	642	4	between	between	IN
cord-348010-m3a3utvz	642	5	zero	zero	CD
cord-348010-m3a3utvz	642	6	and	and	CC
cord-348010-m3a3utvz	642	7	one	one	CD
cord-348010-m3a3utvz	642	8	is	be	VBZ
cord-348010-m3a3utvz	642	9	1	1	CD
cord-348010-m3a3utvz	642	10	∕	∕	CD
cord-348010-m3a3utvz	642	11	.	.	.
cord-348010-m3a3utvz	643	1	If	if	IN
cord-348010-m3a3utvz	643	2	tends	tend	VBZ
cord-348010-m3a3utvz	643	3	to	to	IN
cord-348010-m3a3utvz	643	4	zero	zero	CD
cord-348010-m3a3utvz	643	5	,	,	,
cord-348010-m3a3utvz	643	6	tends	tend	VBZ
cord-348010-m3a3utvz	643	7	(	(	-LRB-
cord-348010-m3a3utvz	643	8	point	point	NN
cord-348010-m3a3utvz	643	9	-	-	HYPH
cord-348010-m3a3utvz	643	10	wise	wise	JJ
cord-348010-m3a3utvz	643	11	,	,	,
cord-348010-m3a3utvz	643	12	but	but	CC
cord-348010-m3a3utvz	643	13	not	not	RB
cord-348010-m3a3utvz	643	14	uniformly	uniformly	RB
cord-348010-m3a3utvz	643	15	)	)	-RRB-
cord-348010-m3a3utvz	643	16	to	to	IN
cord-348010-m3a3utvz	643	17	a	a	DT
cord-348010-m3a3utvz	643	18	jump	jump	NN
cord-348010-m3a3utvz	643	19	function	function	NN
cord-348010-m3a3utvz	643	20	.	.	.
cord-348010-m3a3utvz	644	1	Due	due	IN
cord-348010-m3a3utvz	644	2	to	to	IN
cord-348010-m3a3utvz	644	3	its	-PRON-	PRP$
cord-348010-m3a3utvz	644	4	non	non	JJ
cord-348010-m3a3utvz	644	5	-	-	JJ
cord-348010-m3a3utvz	644	6	continuity	continuity	NN
cord-348010-m3a3utvz	644	7	in	in	IN
cord-348010-m3a3utvz	644	8	the	the	DT
cord-348010-m3a3utvz	644	9	point	point	NN
cord-348010-m3a3utvz	644	10	zero	zero	CD
cord-348010-m3a3utvz	644	11	,	,	,
cord-348010-m3a3utvz	644	12	we	-PRON-	PRP
cord-348010-m3a3utvz	644	13	want	want	VBP
cord-348010-m3a3utvz	644	14	to	to	TO
cord-348010-m3a3utvz	644	15	avoid	avoid	VB
cord-348010-m3a3utvz	644	16	it	-PRON-	PRP
cord-348010-m3a3utvz	644	17	for	for	IN
cord-348010-m3a3utvz	644	18	mathematical	mathematical	JJ
cord-348010-m3a3utvz	644	19	reasons	reason	NNS
cord-348010-m3a3utvz	644	20	.	.	.
cord-348010-m3a3utvz	645	1	Finally	finally	RB
cord-348010-m3a3utvz	645	2	,	,	,
cord-348010-m3a3utvz	645	3	we	-PRON-	PRP
cord-348010-m3a3utvz	645	4	define	define	VBP
cord-348010-m3a3utvz	645	5	the	the	DT
cord-348010-m3a3utvz	645	6	term	term	NN
cord-348010-m3a3utvz	645	7	(	(	-LRB-
cord-348010-m3a3utvz	645	8	)	)	-RRB-
cord-348010-m3a3utvz	645	9	by	by	IN
cord-348010-m3a3utvz	645	10	.	.	.
cord-348010-m3a3utvz	646	1	(	(	-LRB-
cord-348010-m3a3utvz	646	2	3.24	3.24	CD
cord-348010-m3a3utvz	646	3	)	)	-RRB-
cord-348010-m3a3utvz	647	1	For	for	IN
cord-348010-m3a3utvz	647	2	reasons	reason	NNS
cord-348010-m3a3utvz	647	3	of	of	IN
cord-348010-m3a3utvz	647	4	dimensional	dimensional	JJ
cord-348010-m3a3utvz	647	5	homogeneity	homogeneity	NN
cord-348010-m3a3utvz	647	6	,	,	,
cord-348010-m3a3utvz	647	7	∕	∕	JJ
cord-348010-m3a3utvz	647	8	0	0	CD
cord-348010-m3a3utvz	647	9	has	have	VBZ
cord-348010-m3a3utvz	647	10	been	be	VBN
cord-348010-m3a3utvz	647	11	chosen	choose	VBN
cord-348010-m3a3utvz	647	12	as	as	IN
cord-348010-m3a3utvz	647	13	argument	argument	NN
cord-348010-m3a3utvz	647	14	of	of	IN
cord-348010-m3a3utvz	647	15	1	1	CD
cord-348010-m3a3utvz	647	16	.	.	.
cord-348010-m3a3utvz	648	1	This	this	DT
cord-348010-m3a3utvz	648	2	will	will	MD
cord-348010-m3a3utvz	648	3	be	be	VB
cord-348010-m3a3utvz	648	4	beneficial	beneficial	JJ
cord-348010-m3a3utvz	648	5	later	later	RB
cord-348010-m3a3utvz	648	6	on	on	RB
cord-348010-m3a3utvz	648	7	.	.	.
cord-348010-m3a3utvz	649	1	From	from	IN
cord-348010-m3a3utvz	649	2	(	(	-LRB-
cord-348010-m3a3utvz	649	3	3	3	CD
cord-348010-m3a3utvz	649	4	.	.	.
cord-348010-m3a3utvz	649	5	25	25	CD
cord-348010-m3a3utvz	649	6	)	)	-RRB-
cord-348010-m3a3utvz	650	1	In	in	IN
cord-348010-m3a3utvz	650	2	applications	application	NNS
cord-348010-m3a3utvz	650	3	,	,	,
cord-348010-m3a3utvz	650	4	the	the	DT
cord-348010-m3a3utvz	650	5	threshold	threshold	NN
cord-348010-m3a3utvz	650	6	value	value	NN
cord-348010-m3a3utvz	650	7	>	>	XX
cord-348010-m3a3utvz	650	8	0	0	NFP
cord-348010-m3a3utvz	650	9	has	have	VBZ
cord-348010-m3a3utvz	650	10	to	to	TO
cord-348010-m3a3utvz	650	11	be	be	VB
cord-348010-m3a3utvz	650	12	chosen	choose	VBN
cord-348010-m3a3utvz	650	13	suitably	suitably	RB
cord-348010-m3a3utvz	650	14	small	small	JJ
cord-348010-m3a3utvz	650	15	.	.	.
cord-348010-m3a3utvz	651	1	Generally	generally	RB
cord-348010-m3a3utvz	651	2	,	,	,
cord-348010-m3a3utvz	651	3	at	at	IN
cord-348010-m3a3utvz	651	4	beginning	beginning	NN
cord-348010-m3a3utvz	651	5	of	of	IN
cord-348010-m3a3utvz	651	6	the	the	DT
cord-348010-m3a3utvz	651	7	infection	infection	NN
cord-348010-m3a3utvz	651	8	course	course	NN
cord-348010-m3a3utvz	651	9	,	,	,
cord-348010-m3a3utvz	651	10	one	one	PRP
cord-348010-m3a3utvz	651	11	can	can	MD
cord-348010-m3a3utvz	651	12	expect	expect	VB
cord-348010-m3a3utvz	651	13	∕	∕	CD
cord-348010-m3a3utvz	651	14	0	0	CD
cord-348010-m3a3utvz	651	15	≈	≈	NNP
cord-348010-m3a3utvz	651	16	1	1	CD
cord-348010-m3a3utvz	651	17	.	.	.
cord-348010-m3a3utvz	652	1	Thus	thus	RB
cord-348010-m3a3utvz	652	2	,	,	,
cord-348010-m3a3utvz	652	3	should	should	MD
cord-348010-m3a3utvz	652	4	be	be	VB
cord-348010-m3a3utvz	652	5	small	small	JJ
cord-348010-m3a3utvz	652	6	,	,	,
cord-348010-m3a3utvz	652	7	more	more	RBR
cord-348010-m3a3utvz	652	8	precisely	precisely	RB
cord-348010-m3a3utvz	653	1	≪	≪	XX
cord-348010-m3a3utvz	654	1	∕	∕	JJ
cord-348010-m3a3utvz	654	2	0	0	CD
cord-348010-m3a3utvz	654	3	,	,	,
cord-348010-m3a3utvz	654	4	in	in	IN
cord-348010-m3a3utvz	654	5	order	order	NN
cord-348010-m3a3utvz	654	6	to	to	TO
cord-348010-m3a3utvz	654	7	avoid	avoid	VB
cord-348010-m3a3utvz	654	8	an	an	DT
cord-348010-m3a3utvz	654	9	essential	essential	JJ
cord-348010-m3a3utvz	654	10	influence	influence	NN
cord-348010-m3a3utvz	654	11	to	to	IN
cord-348010-m3a3utvz	654	12	the	the	DT
cord-348010-m3a3utvz	654	13	model	model	NN
cord-348010-m3a3utvz	654	14	at	at	IN
cord-348010-m3a3utvz	654	15	begin	begin	NN
cord-348010-m3a3utvz	654	16	.	.	.
cord-348010-m3a3utvz	655	1	For	for	IN
cord-348010-m3a3utvz	655	2	mathematical	mathematical	JJ
cord-348010-m3a3utvz	655	3	reason	reason	NN
cord-348010-m3a3utvz	655	4	the	the	DT
cord-348010-m3a3utvz	655	5	function	function	NN
cord-348010-m3a3utvz	655	6	(	(	-LRB-
cord-348010-m3a3utvz	655	7	)	)	-RRB-
cord-348010-m3a3utvz	655	8	is	be	VBZ
cord-348010-m3a3utvz	655	9	also	also	RB
cord-348010-m3a3utvz	655	10	defined	define	VBN
cord-348010-m3a3utvz	655	11	for	for	IN
cord-348010-m3a3utvz	655	12	negative	negative	JJ
cord-348010-m3a3utvz	655	13	.	.	.
cord-348010-m3a3utvz	656	1	Under	under	IN
cord-348010-m3a3utvz	656	2	mild	mild	JJ
cord-348010-m3a3utvz	656	3	assumptions	assumption	NNS
cord-348010-m3a3utvz	656	4	the	the	DT
cord-348010-m3a3utvz	656	5	non	non	NN
cord-348010-m3a3utvz	656	6	-	-	JJ
cord-348010-m3a3utvz	656	7	negativity	negativity	NN
cord-348010-m3a3utvz	656	8	of	of	IN
cord-348010-m3a3utvz	656	9	can	can	MD
cord-348010-m3a3utvz	656	10	be	be	VB
cord-348010-m3a3utvz	656	11	proved	prove	VBN
cord-348010-m3a3utvz	656	12	(	(	-LRB-
cord-348010-m3a3utvz	656	13	see	see	VB
cord-348010-m3a3utvz	656	14	Section	section	NN
cord-348010-m3a3utvz	656	15	4.2	4.2	CD
cord-348010-m3a3utvz	656	16	)	)	-RRB-
cord-348010-m3a3utvz	656	17	.	.	.
cord-348010-m3a3utvz	657	1	Thus	thus	RB
cord-348010-m3a3utvz	657	2	,	,	,
cord-348010-m3a3utvz	657	3	there	there	EX
cord-348010-m3a3utvz	657	4	is	be	VBZ
cord-348010-m3a3utvz	657	5	no	no	DT
cord-348010-m3a3utvz	657	6	practical	practical	JJ
cord-348010-m3a3utvz	657	7	consequence	consequence	NN
cord-348010-m3a3utvz	657	8	in	in	IN
cord-348010-m3a3utvz	657	9	applications	application	NNS
cord-348010-m3a3utvz	657	10	.	.	.
cord-348010-m3a3utvz	658	1	The	the	DT
cord-348010-m3a3utvz	658	2	SEI	SEI	NNP
cord-348010-m3a3utvz	658	3	3	3	CD
cord-348010-m3a3utvz	658	4	RSD	RSD	NNP
cord-348010-m3a3utvz	658	5	model	model	NN
cord-348010-m3a3utvz	658	6	developed	develop	VBN
cord-348010-m3a3utvz	658	7	above	above	RB
cord-348010-m3a3utvz	658	8	takes	take	VBZ
cord-348010-m3a3utvz	658	9	several	several	JJ
cord-348010-m3a3utvz	658	10	known	know	VBN
cord-348010-m3a3utvz	658	11	findings	finding	NNS
cord-348010-m3a3utvz	658	12	about	about	IN
cord-348010-m3a3utvz	658	13	SARS	SARS	NNP
cord-348010-m3a3utvz	658	14	-	-	HYPH
cord-348010-m3a3utvz	658	15	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	658	16	and	and	CC
cord-348010-m3a3utvz	658	17	COVID-19	COVID-19	NNP
cord-348010-m3a3utvz	658	18	into	into	IN
cord-348010-m3a3utvz	658	19	account	account	NN
cord-348010-m3a3utvz	658	20	.	.	.
cord-348010-m3a3utvz	659	1	However	however	RB
cord-348010-m3a3utvz	659	2	,	,	,
cord-348010-m3a3utvz	659	3	it	-PRON-	PRP
cord-348010-m3a3utvz	659	4	is	be	VBZ
cord-348010-m3a3utvz	659	5	less	less	RBR
cord-348010-m3a3utvz	659	6	complex	complex	JJ
cord-348010-m3a3utvz	659	7	than	than	IN
cord-348010-m3a3utvz	659	8	the	the	DT
cord-348010-m3a3utvz	659	9	model	model	NN
cord-348010-m3a3utvz	659	10	developed	develop	VBN
cord-348010-m3a3utvz	659	11	and	and	CC
cord-348010-m3a3utvz	659	12	numerically	numerically	RB
cord-348010-m3a3utvz	659	13	investigated	investigate	VBN
cord-348010-m3a3utvz	659	14	in	in	IN
cord-348010-m3a3utvz	659	15	[	[	-LRB-
cord-348010-m3a3utvz	659	16	21	21	CD
cord-348010-m3a3utvz	659	17	]	]	-RRB-
cord-348010-m3a3utvz	659	18	.	.	.
cord-348010-m3a3utvz	660	1	If	if	IN
cord-348010-m3a3utvz	660	2	necessary	necessary	JJ
cord-348010-m3a3utvz	660	3	,	,	,
cord-348010-m3a3utvz	660	4	the	the	DT
cord-348010-m3a3utvz	660	5	modular	modular	JJ
cord-348010-m3a3utvz	660	6	design	design	NN
cord-348010-m3a3utvz	660	7	principle	principle	NN
cord-348010-m3a3utvz	660	8	allows	allow	VBZ
cord-348010-m3a3utvz	660	9	extensions	extension	NNS
cord-348010-m3a3utvz	660	10	and	and	CC
cord-348010-m3a3utvz	660	11	simplifications	simplification	NNS
cord-348010-m3a3utvz	660	12	of	of	IN
cord-348010-m3a3utvz	660	13	the	the	DT
cord-348010-m3a3utvz	660	14	model	model	NN
cord-348010-m3a3utvz	660	15	described	describe	VBN
cord-348010-m3a3utvz	660	16	above	above	RB
cord-348010-m3a3utvz	660	17	.	.	.
cord-348010-m3a3utvz	661	1	This	this	DT
cord-348010-m3a3utvz	661	2	model	model	NN
cord-348010-m3a3utvz	661	3	is	be	VBZ
cord-348010-m3a3utvz	661	4	a	a	DT
cord-348010-m3a3utvz	661	5	continuous	continuous	JJ
cord-348010-m3a3utvz	661	6	one	one	NN
cord-348010-m3a3utvz	661	7	,	,	,
cord-348010-m3a3utvz	661	8	the	the	DT
cord-348010-m3a3utvz	661	9	arising	arise	VBG
cord-348010-m3a3utvz	661	10	mathematical	mathematical	JJ
cord-348010-m3a3utvz	661	11	task	task	NN
cord-348010-m3a3utvz	661	12	is	be	VBZ
cord-348010-m3a3utvz	661	13	an	an	DT
cord-348010-m3a3utvz	661	14	initial	initial	JJ
cord-348010-m3a3utvz	661	15	-	-	HYPH
cord-348010-m3a3utvz	661	16	value	value	NN
cord-348010-m3a3utvz	661	17	problem	problem	NN
cord-348010-m3a3utvz	661	18	for	for	IN
cord-348010-m3a3utvz	661	19	a	a	DT
cord-348010-m3a3utvz	661	20	system	system	NN
cord-348010-m3a3utvz	661	21	of	of	IN
cord-348010-m3a3utvz	661	22	ordinary	ordinary	JJ
cord-348010-m3a3utvz	661	23	differential	differential	JJ
cord-348010-m3a3utvz	661	24	equations	equation	NNS
cord-348010-m3a3utvz	661	25	(	(	-LRB-
cord-348010-m3a3utvz	661	26	ODE	ODE	NNP
cord-348010-m3a3utvz	661	27	)	)	-RRB-
cord-348010-m3a3utvz	661	28	.	.	.
cord-348010-m3a3utvz	662	1	As	as	IN
cord-348010-m3a3utvz	662	2	an	an	DT
cord-348010-m3a3utvz	662	3	advantage	advantage	NN
cord-348010-m3a3utvz	662	4	,	,	,
cord-348010-m3a3utvz	662	5	the	the	DT
cord-348010-m3a3utvz	662	6	extensive	extensive	JJ
cord-348010-m3a3utvz	662	7	mathematical	mathematical	JJ
cord-348010-m3a3utvz	662	8	instruments	instrument	NNS
cord-348010-m3a3utvz	662	9	on	on	IN
cord-348010-m3a3utvz	662	10	theory	theory	NN
cord-348010-m3a3utvz	662	11	and	and	CC
cord-348010-m3a3utvz	662	12	numerics	numeric	NNS
cord-348010-m3a3utvz	662	13	of	of	IN
cord-348010-m3a3utvz	662	14	ODE	ODE	NNP
cord-348010-m3a3utvz	662	15	are	be	VBP
cord-348010-m3a3utvz	662	16	well	well	RB
cord-348010-m3a3utvz	662	17	available	available	JJ
cord-348010-m3a3utvz	662	18	.	.	.
cord-348010-m3a3utvz	663	1	Otherwise	otherwise	RB
cord-348010-m3a3utvz	663	2	,	,	,
cord-348010-m3a3utvz	663	3	the	the	DT
cord-348010-m3a3utvz	663	4	population	population	NN
cord-348010-m3a3utvz	663	5	is	be	VBZ
cord-348010-m3a3utvz	663	6	discrete	discrete	JJ
cord-348010-m3a3utvz	663	7	.	.	.
cord-348010-m3a3utvz	664	1	Therefore	therefore	RB
cord-348010-m3a3utvz	664	2	,	,	,
cord-348010-m3a3utvz	664	3	to	to	TO
cord-348010-m3a3utvz	664	4	correspond	correspond	VB
cord-348010-m3a3utvz	664	5	possibly	possibly	RB
cord-348010-m3a3utvz	664	6	well	well	RB
cord-348010-m3a3utvz	664	7	to	to	IN
cord-348010-m3a3utvz	664	8	the	the	DT
cord-348010-m3a3utvz	664	9	reality	reality	NN
cord-348010-m3a3utvz	664	10	,	,	,
cord-348010-m3a3utvz	664	11	"	"	''
cord-348010-m3a3utvz	664	12	sufficiently	sufficiently	RB
cord-348010-m3a3utvz	664	13	large	large	JJ
cord-348010-m3a3utvz	664	14	"	"	''
cord-348010-m3a3utvz	664	15	populations	population	NNS
cord-348010-m3a3utvz	664	16	must	must	MD
cord-348010-m3a3utvz	664	17	be	be	VB
cord-348010-m3a3utvz	664	18	assumed	assume	VBN
cord-348010-m3a3utvz	664	19	.	.	.
cord-348010-m3a3utvz	665	1	An	an	DT
cord-348010-m3a3utvz	665	2	alternative	alternative	NN
cord-348010-m3a3utvz	665	3	to	to	IN
cord-348010-m3a3utvz	665	4	a	a	DT
cord-348010-m3a3utvz	665	5	continuous	continuous	JJ
cord-348010-m3a3utvz	665	6	model	model	NN
cord-348010-m3a3utvz	665	7	is	be	VBZ
cord-348010-m3a3utvz	665	8	a	a	DT
cord-348010-m3a3utvz	665	9	discrete	discrete	JJ
cord-348010-m3a3utvz	665	10	one	one	NN
cord-348010-m3a3utvz	665	11	based	base	VBN
cord-348010-m3a3utvz	665	12	on	on	IN
cord-348010-m3a3utvz	665	13	difference	difference	NN
cord-348010-m3a3utvz	665	14	equations	equation	NNS
cord-348010-m3a3utvz	665	15	,	,	,
cord-348010-m3a3utvz	665	16	see	see	VB
cord-348010-m3a3utvz	665	17	[	[	-LRB-
cord-348010-m3a3utvz	665	18	20	20	CD
cord-348010-m3a3utvz	665	19	]	]	-RRB-
cord-348010-m3a3utvz	665	20	,	,	.
cord-348010-m3a3utvz	666	1	e.g.	e.g.	RB
cord-348010-m3a3utvz	666	2	Generally	generally	RB
cord-348010-m3a3utvz	666	3	,	,	,
cord-348010-m3a3utvz	666	4	concerning	concern	VBG
cord-348010-m3a3utvz	666	5	models	model	NNS
cord-348010-m3a3utvz	666	6	of	of	IN
cord-348010-m3a3utvz	666	7	phenomena	phenomenon	NNS
cord-348010-m3a3utvz	666	8	in	in	IN
cord-348010-m3a3utvz	666	9	empirical	empirical	JJ
cord-348010-m3a3utvz	666	10	sciences	science	NNS
cord-348010-m3a3utvz	667	1	,	,	,
cord-348010-m3a3utvz	667	2	an	an	DT
cord-348010-m3a3utvz	667	3	important	important	JJ
cord-348010-m3a3utvz	667	4	task	task	NN
cord-348010-m3a3utvz	667	5	consists	consist	VBZ
cord-348010-m3a3utvz	667	6	in	in	IN
cord-348010-m3a3utvz	667	7	validation	validation	NN
cord-348010-m3a3utvz	667	8	and	and	CC
cord-348010-m3a3utvz	667	9	verification	verification	NN
cord-348010-m3a3utvz	667	10	in	in	IN
cord-348010-m3a3utvz	667	11	order	order	NN
cord-348010-m3a3utvz	667	12	to	to	TO
cord-348010-m3a3utvz	667	13	decide	decide	VB
cord-348010-m3a3utvz	667	14	,	,	,
cord-348010-m3a3utvz	667	15	under	under	IN
cord-348010-m3a3utvz	667	16	which	which	WDT
cord-348010-m3a3utvz	667	17	conditions	condition	VBZ
cord-348010-m3a3utvz	667	18	the	the	DT
cord-348010-m3a3utvz	667	19	applied	apply	VBN
cord-348010-m3a3utvz	667	20	models	model	NNS
cord-348010-m3a3utvz	667	21	yield	yield	VBP
cord-348010-m3a3utvz	667	22	sufficiently	sufficiently	RB
cord-348010-m3a3utvz	667	23	good	good	JJ
cord-348010-m3a3utvz	667	24	approximations	approximation	NNS
cord-348010-m3a3utvz	667	25	with	with	IN
cord-348010-m3a3utvz	667	26	the	the	DT
cord-348010-m3a3utvz	667	27	reality	reality	NN
cord-348010-m3a3utvz	667	28	.	.	.
cord-348010-m3a3utvz	668	1	In	in	IN
cord-348010-m3a3utvz	668	2	particular	particular	JJ
cord-348010-m3a3utvz	668	3	,	,	,
cord-348010-m3a3utvz	668	4	a	a	DT
cord-348010-m3a3utvz	668	5	typical	typical	JJ
cord-348010-m3a3utvz	668	6	question	question	NN
cord-348010-m3a3utvz	668	7	is	be	VBZ
cord-348010-m3a3utvz	668	8	whether	whether	IN
cord-348010-m3a3utvz	668	9	a	a	DT
cord-348010-m3a3utvz	668	10	SIRD	SIRD	NNP
cord-348010-m3a3utvz	668	11	model	model	NN
cord-348010-m3a3utvz	668	12	can	can	MD
cord-348010-m3a3utvz	668	13	sufficiently	sufficiently	RB
cord-348010-m3a3utvz	668	14	well	well	RB
cord-348010-m3a3utvz	668	15	describe	describe	VB
cord-348010-m3a3utvz	668	16	a	a	DT
cord-348010-m3a3utvz	668	17	real	real	JJ
cord-348010-m3a3utvz	668	18	course	course	NN
cord-348010-m3a3utvz	668	19	of	of	IN
cord-348010-m3a3utvz	668	20	infection	infection	NN
cord-348010-m3a3utvz	668	21	,	,	,
cord-348010-m3a3utvz	668	22	or	or	CC
cord-348010-m3a3utvz	668	23	a	a	DT
cord-348010-m3a3utvz	668	24	SEIRD	SEIRD	NNP
cord-348010-m3a3utvz	668	25	model	model	NN
cord-348010-m3a3utvz	668	26	must	must	MD
cord-348010-m3a3utvz	668	27	be	be	VB
cord-348010-m3a3utvz	668	28	chosen	choose	VBN
cord-348010-m3a3utvz	668	29	.	.	.
cord-348010-m3a3utvz	669	1	A	a	DT
cord-348010-m3a3utvz	669	2	general	general	JJ
cord-348010-m3a3utvz	669	3	drawback	drawback	NN
cord-348010-m3a3utvz	669	4	of	of	IN
cord-348010-m3a3utvz	669	5	modelling	model	VBG
cord-348010-m3a3utvz	669	6	with	with	IN
cord-348010-m3a3utvz	669	7	ODE	ODE	NNP
cord-348010-m3a3utvz	669	8	is	be	VBZ
cord-348010-m3a3utvz	669	9	the	the	DT
cord-348010-m3a3utvz	669	10	absence	absence	NN
cord-348010-m3a3utvz	669	11	of	of	IN
cord-348010-m3a3utvz	669	12	local	local	JJ
cord-348010-m3a3utvz	669	13	dependence	dependence	NN
cord-348010-m3a3utvz	669	14	of	of	IN
cord-348010-m3a3utvz	669	15	the	the	DT
cord-348010-m3a3utvz	669	16	functions	function	NNS
cord-348010-m3a3utvz	669	17	looked	look	VBD
cord-348010-m3a3utvz	669	18	for	for	IN
cord-348010-m3a3utvz	669	19	,	,	,
cord-348010-m3a3utvz	669	20	here	here	RB
cord-348010-m3a3utvz	669	21	,	,	,
cord-348010-m3a3utvz	669	22	,	,	,
cord-348010-m3a3utvz	669	23	1	1	CD
cord-348010-m3a3utvz	669	24	,	,	,
cord-348010-m3a3utvz	669	25	21	21	CD
cord-348010-m3a3utvz	669	26	,	,	,
cord-348010-m3a3utvz	669	27	22	22	CD
cord-348010-m3a3utvz	669	28	,	,	,
cord-348010-m3a3utvz	669	29	and	and	CC
cord-348010-m3a3utvz	669	30	.	.	.
cord-348010-m3a3utvz	670	1	However	however	RB
cord-348010-m3a3utvz	670	2	,	,	,
cord-348010-m3a3utvz	670	3	in	in	IN
cord-348010-m3a3utvz	670	4	many	many	JJ
cord-348010-m3a3utvz	670	5	countries	country	NNS
cord-348010-m3a3utvz	670	6	the	the	DT
cord-348010-m3a3utvz	670	7	spread	spread	NN
cord-348010-m3a3utvz	670	8	of	of	IN
cord-348010-m3a3utvz	670	9	SARS	SARS	NNP
cord-348010-m3a3utvz	670	10	-	-	HYPH
cord-348010-m3a3utvz	670	11	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	670	12	essentially	essentially	RB
cord-348010-m3a3utvz	670	13	differs	differ	VBZ
cord-348010-m3a3utvz	670	14	from	from	IN
cord-348010-m3a3utvz	670	15	region	region	NN
cord-348010-m3a3utvz	670	16	to	to	IN
cord-348010-m3a3utvz	670	17	region	region	NN
cord-348010-m3a3utvz	670	18	.	.	.
cord-348010-m3a3utvz	671	1	Therefore	therefore	RB
cord-348010-m3a3utvz	671	2	,	,	,
cord-348010-m3a3utvz	671	3	the	the	DT
cord-348010-m3a3utvz	671	4	models	model	NNS
cord-348010-m3a3utvz	671	5	discussed	discuss	VBN
cord-348010-m3a3utvz	671	6	here	here	RB
cord-348010-m3a3utvz	671	7	only	only	RB
cord-348010-m3a3utvz	671	8	reflect	reflect	VBP
cord-348010-m3a3utvz	671	9	a	a	DT
cord-348010-m3a3utvz	671	10	mean	mean	JJ
cord-348010-m3a3utvz	671	11	situation	situation	NN
cord-348010-m3a3utvz	671	12	,	,	,
cord-348010-m3a3utvz	671	13	for	for	IN
cord-348010-m3a3utvz	671	14	instance	instance	NN
cord-348010-m3a3utvz	671	15	in	in	IN
cord-348010-m3a3utvz	671	16	Germany	Germany	NNP
cord-348010-m3a3utvz	671	17	or	or	CC
cord-348010-m3a3utvz	671	18	in	in	IN
cord-348010-m3a3utvz	671	19	a	a	DT
cord-348010-m3a3utvz	671	20	single	single	JJ
cord-348010-m3a3utvz	671	21	federal	federal	JJ
cord-348010-m3a3utvz	671	22	land	land	NN
cord-348010-m3a3utvz	671	23	.	.	.
cord-348010-m3a3utvz	672	1	A	a	DT
cord-348010-m3a3utvz	672	2	way	way	NN
cord-348010-m3a3utvz	672	3	out	out	IN
cord-348010-m3a3utvz	672	4	with	with	IN
cord-348010-m3a3utvz	672	5	partial	partial	JJ
cord-348010-m3a3utvz	672	6	differential	differential	JJ
cord-348010-m3a3utvz	672	7	equations	equation	NNS
cord-348010-m3a3utvz	672	8	(	(	-LRB-
cord-348010-m3a3utvz	672	9	PDE	PDE	NNP
cord-348010-m3a3utvz	672	10	)	)	-RRB-
cord-348010-m3a3utvz	672	11	containing	contain	VBG
cord-348010-m3a3utvz	672	12	terms	term	NNS
cord-348010-m3a3utvz	672	13	describing	describe	VBG
cord-348010-m3a3utvz	672	14	local	local	JJ
cord-348010-m3a3utvz	672	15	movements	movement	NNS
cord-348010-m3a3utvz	672	16	of	of	IN
cord-348010-m3a3utvz	672	17	population	population	NN
cord-348010-m3a3utvz	672	18	parts	part	NNS
cord-348010-m3a3utvz	672	19	seems	seem	VBZ
cord-348010-m3a3utvz	672	20	theoretically	theoretically	RB
cord-348010-m3a3utvz	672	21	possible	possible	JJ
cord-348010-m3a3utvz	672	22	.	.	.
cord-348010-m3a3utvz	673	1	Surely	surely	RB
cord-348010-m3a3utvz	673	2	,	,	,
cord-348010-m3a3utvz	673	3	there	there	EX
cord-348010-m3a3utvz	673	4	will	will	MD
cord-348010-m3a3utvz	673	5	arise	arise	VB
cord-348010-m3a3utvz	673	6	large	large	JJ
cord-348010-m3a3utvz	673	7	difficulties	difficulty	NNS
cord-348010-m3a3utvz	673	8	in	in	IN
cord-348010-m3a3utvz	673	9	determining	determine	VBG
cord-348010-m3a3utvz	673	10	various	various	JJ
cord-348010-m3a3utvz	673	11	parameter	parameter	NN
cord-348010-m3a3utvz	673	12	functions	function	NNS
cord-348010-m3a3utvz	673	13	.	.	.
cord-348010-m3a3utvz	674	1	Instead	instead	RB
cord-348010-m3a3utvz	674	2	of	of	IN
cord-348010-m3a3utvz	674	3	population	population	NN
cord-348010-m3a3utvz	674	4	numbers	number	NNS
cord-348010-m3a3utvz	674	5	corresponding	correspond	VBG
cord-348010-m3a3utvz	674	6	density	density	NN
cord-348010-m3a3utvz	674	7	functions	function	NNS
cord-348010-m3a3utvz	674	8	have	have	VBP
cord-348010-m3a3utvz	674	9	to	to	TO
cord-348010-m3a3utvz	674	10	be	be	VB
cord-348010-m3a3utvz	674	11	used	use	VBN
cord-348010-m3a3utvz	674	12	(	(	-LRB-
cord-348010-m3a3utvz	674	13	persons	person	NNS
cord-348010-m3a3utvz	674	14	per	per	IN
cord-348010-m3a3utvz	674	15	quadrate	quadrate	JJ
cord-348010-m3a3utvz	674	16	kilometre	kilometre	NN
cord-348010-m3a3utvz	674	17	,	,	,
cord-348010-m3a3utvz	674	18	e.g.	e.g.	RB
cord-348010-m3a3utvz	674	19	)	)	-RRB-
cord-348010-m3a3utvz	674	20	.	.	.
cord-348010-m3a3utvz	675	1	Additionally	additionally	RB
cord-348010-m3a3utvz	675	2	,	,	,
cord-348010-m3a3utvz	675	3	there	there	EX
cord-348010-m3a3utvz	675	4	may	may	MD
cord-348010-m3a3utvz	675	5	be	be	VB
cord-348010-m3a3utvz	675	6	non	non	JJ
cord-348010-m3a3utvz	675	7	-	-	JJ
cord-348010-m3a3utvz	675	8	local	local	JJ
cord-348010-m3a3utvz	675	9	effects	effect	NNS
cord-348010-m3a3utvz	675	10	caused	cause	VBN
cord-348010-m3a3utvz	675	11	by	by	IN
cord-348010-m3a3utvz	675	12	travelling	travel	VBG
cord-348010-m3a3utvz	675	13	excelling	excel	VBG
cord-348010-m3a3utvz	675	14	daily	daily	JJ
cord-348010-m3a3utvz	675	15	usual	usual	JJ
cord-348010-m3a3utvz	675	16	movement	movement	NN
cord-348010-m3a3utvz	675	17	in	in	IN
cord-348010-m3a3utvz	675	18	the	the	DT
cord-348010-m3a3utvz	675	19	surrounding	surround	VBG
cord-348010-m3a3utvz	675	20	field	field	NN
cord-348010-m3a3utvz	675	21	.	.	.
cord-348010-m3a3utvz	676	1	Hence	hence	RB
cord-348010-m3a3utvz	676	2	,	,	,
cord-348010-m3a3utvz	676	3	it	-PRON-	PRP
cord-348010-m3a3utvz	676	4	is	be	VBZ
cord-348010-m3a3utvz	676	5	not	not	RB
cord-348010-m3a3utvz	676	6	a	a	DT
cord-348010-m3a3utvz	676	7	surprise	surprise	NN
cord-348010-m3a3utvz	676	8	that	that	IN
cord-348010-m3a3utvz	676	9	the	the	DT
cord-348010-m3a3utvz	676	10	author	author	NN
cord-348010-m3a3utvz	676	11	did	do	VBD
cord-348010-m3a3utvz	676	12	not	not	RB
cord-348010-m3a3utvz	676	13	find	find	VB
cord-348010-m3a3utvz	676	14	corresponding	corresponding	JJ
cord-348010-m3a3utvz	676	15	references	reference	NNS
cord-348010-m3a3utvz	676	16	to	to	IN
cord-348010-m3a3utvz	676	17	PDE	PDE	NNP
cord-348010-m3a3utvz	676	18	.	.	.
cord-348010-m3a3utvz	677	1	In	in	IN
cord-348010-m3a3utvz	677	2	[	[	-LRB-
cord-348010-m3a3utvz	677	3	16	16	CD
cord-348010-m3a3utvz	677	4	]	]	-RRB-
cord-348010-m3a3utvz	677	5	and	and	CC
cord-348010-m3a3utvz	677	6	in	in	IN
cord-348010-m3a3utvz	677	7	[	[	-LRB-
cord-348010-m3a3utvz	677	8	20	20	CD
cord-348010-m3a3utvz	677	9	]	]	-RRB-
cord-348010-m3a3utvz	677	10	,	,	,
cord-348010-m3a3utvz	677	11	PDE	PDE	NNP
cord-348010-m3a3utvz	677	12	are	be	VBP
cord-348010-m3a3utvz	677	13	addressed	address	VBN
cord-348010-m3a3utvz	677	14	in	in	IN
cord-348010-m3a3utvz	677	15	short	short	JJ
cord-348010-m3a3utvz	677	16	to	to	TO
cord-348010-m3a3utvz	677	17	model	model	VB
cord-348010-m3a3utvz	677	18	a	a	DT
cord-348010-m3a3utvz	677	19	dependence	dependence	NN
cord-348010-m3a3utvz	677	20	on	on	IN
cord-348010-m3a3utvz	677	21	age	age	NN
cord-348010-m3a3utvz	677	22	.	.	.
cord-348010-m3a3utvz	678	1	Now	now	RB
cord-348010-m3a3utvz	678	2	,	,	,
cord-348010-m3a3utvz	678	3	it	-PRON-	PRP
cord-348010-m3a3utvz	678	4	is	be	VBZ
cord-348010-m3a3utvz	678	5	the	the	DT
cord-348010-m3a3utvz	678	6	aim	aim	NN
cord-348010-m3a3utvz	678	7	to	to	TO
cord-348010-m3a3utvz	678	8	investigate	investigate	VB
cord-348010-m3a3utvz	678	9	the	the	DT
cord-348010-m3a3utvz	678	10	mathematical	mathematical	JJ
cord-348010-m3a3utvz	678	11	problem	problem	NN
cord-348010-m3a3utvz	678	12	arising	arise	VBG
cord-348010-m3a3utvz	678	13	from	from	IN
cord-348010-m3a3utvz	678	14	the	the	DT
cord-348010-m3a3utvz	678	15	SEI	SEI	NNP
cord-348010-m3a3utvz	678	16	3	3	CD
cord-348010-m3a3utvz	678	17	RSD	RSD	NNP
cord-348010-m3a3utvz	678	18	model	model	NN
cord-348010-m3a3utvz	678	19	.	.	.
cord-348010-m3a3utvz	679	1	At	at	IN
cord-348010-m3a3utvz	679	2	first	first	RB
cord-348010-m3a3utvz	679	3	,	,	,
cord-348010-m3a3utvz	679	4	we	-PRON-	PRP
cord-348010-m3a3utvz	679	5	formulate	formulate	VBP
cord-348010-m3a3utvz	679	6	in	in	IN
cord-348010-m3a3utvz	679	7	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	679	8	4.1	4.1	CD
cord-348010-m3a3utvz	679	9	an	an	DT
cord-348010-m3a3utvz	679	10	equivalent	equivalent	JJ
cord-348010-m3a3utvz	679	11	problem	problem	NN
cord-348010-m3a3utvz	679	12	in	in	IN
cord-348010-m3a3utvz	679	13	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	679	14	quantities	quantity	NNS
cord-348010-m3a3utvz	679	15	.	.	.
cord-348010-m3a3utvz	680	1	This	this	DT
cord-348010-m3a3utvz	680	2	so	so	RB
cord-348010-m3a3utvz	680	3	-	-	HYPH
cord-348010-m3a3utvz	680	4	called	call	VBN
cord-348010-m3a3utvz	680	5	non	non	JJ
cord-348010-m3a3utvz	680	6	-	-	JJ
cord-348010-m3a3utvz	680	7	dimensionalized	dimensionalized	JJ
cord-348010-m3a3utvz	680	8	form	form	NN
cord-348010-m3a3utvz	680	9	may	may	MD
cord-348010-m3a3utvz	680	10	have	have	VB
cord-348010-m3a3utvz	680	11	some	some	DT
cord-348010-m3a3utvz	680	12	advantages	advantage	NNS
cord-348010-m3a3utvz	680	13	.	.	.
cord-348010-m3a3utvz	681	1	After	after	IN
cord-348010-m3a3utvz	681	2	that	that	DT
cord-348010-m3a3utvz	681	3	,	,	,
cord-348010-m3a3utvz	681	4	in	in	IN
cord-348010-m3a3utvz	681	5	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	681	6	4.2	4.2	CD
cord-348010-m3a3utvz	681	7	,	,	,
cord-348010-m3a3utvz	681	8	we	-PRON-	PRP
cord-348010-m3a3utvz	681	9	prove	prove	VBP
cord-348010-m3a3utvz	681	10	existence	existence	NN
cord-348010-m3a3utvz	681	11	and	and	CC
cord-348010-m3a3utvz	681	12	uniqueness	uniqueness	NN
cord-348010-m3a3utvz	681	13	of	of	IN
cord-348010-m3a3utvz	681	14	a	a	DT
cord-348010-m3a3utvz	681	15	global	global	JJ
cord-348010-m3a3utvz	681	16	solution	solution	NN
cord-348010-m3a3utvz	681	17	and	and	CC
cord-348010-m3a3utvz	681	18	study	study	VB
cord-348010-m3a3utvz	681	19	its	-PRON-	PRP$
cord-348010-m3a3utvz	681	20	properties	property	NNS
cord-348010-m3a3utvz	681	21	.	.	.
cord-348010-m3a3utvz	682	1	We	-PRON-	PRP
cord-348010-m3a3utvz	682	2	focus	focus	VBP
cord-348010-m3a3utvz	682	3	on	on	IN
cord-348010-m3a3utvz	682	4	the	the	DT
cord-348010-m3a3utvz	682	5	SEI	SEI	NNP
cord-348010-m3a3utvz	682	6	3	3	CD
cord-348010-m3a3utvz	682	7	RSD	RSD	NNP
cord-348010-m3a3utvz	682	8	model	model	NN
cord-348010-m3a3utvz	682	9	,	,	,
cord-348010-m3a3utvz	682	10	although	although	IN
cord-348010-m3a3utvz	682	11	many	many	JJ
cord-348010-m3a3utvz	682	12	results	result	NNS
cord-348010-m3a3utvz	682	13	can	can	MD
cord-348010-m3a3utvz	682	14	be	be	VB
cord-348010-m3a3utvz	682	15	applied	apply	VBN
cord-348010-m3a3utvz	682	16	in	in	IN
cord-348010-m3a3utvz	682	17	modified	modify	VBN
cord-348010-m3a3utvz	682	18	form	form	NN
cord-348010-m3a3utvz	682	19	to	to	IN
cord-348010-m3a3utvz	682	20	less	less	RBR
cord-348010-m3a3utvz	682	21	complex	complex	JJ
cord-348010-m3a3utvz	682	22	models	model	NNS
cord-348010-m3a3utvz	682	23	like	like	IN
cord-348010-m3a3utvz	682	24	SIR	SIR	NNP
cord-348010-m3a3utvz	682	25	ones	one	NNS
cord-348010-m3a3utvz	682	26	.	.	.
cord-348010-m3a3utvz	683	1	Finally	finally	RB
cord-348010-m3a3utvz	683	2	,	,	,
cord-348010-m3a3utvz	683	3	in	in	IN
cord-348010-m3a3utvz	683	4	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	683	5	4.3	4.3	CD
cord-348010-m3a3utvz	683	6	,	,	,
cord-348010-m3a3utvz	683	7	we	-PRON-	PRP
cord-348010-m3a3utvz	683	8	discuss	discuss	VBP
cord-348010-m3a3utvz	683	9	some	some	DT
cord-348010-m3a3utvz	683	10	issues	issue	NNS
cord-348010-m3a3utvz	683	11	related	relate	VBN
cord-348010-m3a3utvz	683	12	to	to	IN
cord-348010-m3a3utvz	683	13	contact	contact	NN
cord-348010-m3a3utvz	683	14	and	and	CC
cord-348010-m3a3utvz	683	15	replacement	replacement	NN
cord-348010-m3a3utvz	683	16	numbers	number	NNS
cord-348010-m3a3utvz	683	17	for	for	IN
cord-348010-m3a3utvz	683	18	some	some	DT
cord-348010-m3a3utvz	683	19	models	model	NNS
cord-348010-m3a3utvz	683	20	.	.	.
cord-348010-m3a3utvz	684	1	Now	now	RB
cord-348010-m3a3utvz	684	2	,	,	,
cord-348010-m3a3utvz	684	3	we	-PRON-	PRP
cord-348010-m3a3utvz	684	4	want	want	VBP
cord-348010-m3a3utvz	684	5	to	to	TO
cord-348010-m3a3utvz	684	6	deal	deal	VB
cord-348010-m3a3utvz	684	7	in	in	IN
cord-348010-m3a3utvz	684	8	more	more	JJR
cord-348010-m3a3utvz	684	9	detail	detail	NN
cord-348010-m3a3utvz	684	10	with	with	IN
cord-348010-m3a3utvz	684	11	the	the	DT
cord-348010-m3a3utvz	684	12	dimensions	dimension	NNS
cord-348010-m3a3utvz	684	13	of	of	IN
cord-348010-m3a3utvz	684	14	functions	function	NNS
cord-348010-m3a3utvz	684	15	and	and	CC
cord-348010-m3a3utvz	684	16	parameters	parameter	NNS
cord-348010-m3a3utvz	684	17	involved	involve	VBN
cord-348010-m3a3utvz	684	18	in	in	IN
cord-348010-m3a3utvz	684	19	problem	problem	NN
cord-348010-m3a3utvz	684	20	(	(	-LRB-
cord-348010-m3a3utvz	684	21	3.1	3.1	CD
cord-348010-m3a3utvz	684	22	)	)	-RRB-
cord-348010-m3a3utvz	684	23	,	,	,
cord-348010-m3a3utvz	684	24	(	(	-LRB-
cord-348010-m3a3utvz	684	25	3.3)-(3.6	3.3)-(3.6	NNP
cord-348010-m3a3utvz	684	26	)	)	-RRB-
cord-348010-m3a3utvz	684	27	,	,	,
cord-348010-m3a3utvz	684	28	(	(	-LRB-
cord-348010-m3a3utvz	684	29	3.8)-(3.16	3.8)-(3.16	NNP
cord-348010-m3a3utvz	684	30	)	)	-RRB-
cord-348010-m3a3utvz	684	31	.	.	.
cord-348010-m3a3utvz	685	1	For	for	IN
cord-348010-m3a3utvz	685	2	lack	lack	NN
cord-348010-m3a3utvz	685	3	of	of	IN
cord-348010-m3a3utvz	685	4	space	space	NN
cord-348010-m3a3utvz	685	5	,	,	,
cord-348010-m3a3utvz	685	6	here	here	RB
cord-348010-m3a3utvz	685	7	we	-PRON-	PRP
cord-348010-m3a3utvz	685	8	do	do	VBP
cord-348010-m3a3utvz	685	9	not	not	RB
cord-348010-m3a3utvz	685	10	repeat	repeat	VB
cord-348010-m3a3utvz	685	11	all	all	DT
cord-348010-m3a3utvz	685	12	equations	equation	NNS
cord-348010-m3a3utvz	685	13	and	and	CC
cord-348010-m3a3utvz	685	14	initial	initial	JJ
cord-348010-m3a3utvz	685	15	conditions	condition	NNS
cord-348010-m3a3utvz	685	16	,	,	,
cord-348010-m3a3utvz	685	17	but	but	CC
cord-348010-m3a3utvz	685	18	we	-PRON-	PRP
cord-348010-m3a3utvz	685	19	write	write	VBP
cord-348010-m3a3utvz	685	20	them	-PRON-	PRP
cord-348010-m3a3utvz	685	21	alike	alike	RB
cord-348010-m3a3utvz	685	22	in	in	IN
cord-348010-m3a3utvz	685	23	an	an	DT
cord-348010-m3a3utvz	685	24	equivalent	equivalent	JJ
cord-348010-m3a3utvz	685	25	form	form	NN
cord-348010-m3a3utvz	685	26	with	with	IN
cord-348010-m3a3utvz	685	27	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	685	28	quantities	quantity	NNS
cord-348010-m3a3utvz	685	29	.	.	.
cord-348010-m3a3utvz	686	1	This	this	DT
cord-348010-m3a3utvz	686	2	procedure	procedure	NN
cord-348010-m3a3utvz	686	3	is	be	VBZ
cord-348010-m3a3utvz	686	4	also	also	RB
cord-348010-m3a3utvz	686	5	called	call	VBN
cord-348010-m3a3utvz	686	6	non	non	JJ
cord-348010-m3a3utvz	686	7	-	-	JJ
cord-348010-m3a3utvz	686	8	dimensionalisation	dimensionalisation	JJ
cord-348010-m3a3utvz	686	9	.	.	.
cord-348010-m3a3utvz	687	1	An	an	DT
cord-348010-m3a3utvz	687	2	advantage	advantage	NN
cord-348010-m3a3utvz	687	3	of	of	IN
cord-348010-m3a3utvz	687	4	this	this	DT
cord-348010-m3a3utvz	687	5	procedure	procedure	NN
cord-348010-m3a3utvz	687	6	is	be	VBZ
cord-348010-m3a3utvz	687	7	generally	generally	RB
cord-348010-m3a3utvz	687	8	a	a	DT
cord-348010-m3a3utvz	687	9	reduction	reduction	NN
cord-348010-m3a3utvz	687	10	of	of	IN
cord-348010-m3a3utvz	687	11	the	the	DT
cord-348010-m3a3utvz	687	12	number	number	NN
cord-348010-m3a3utvz	687	13	of	of	IN
cord-348010-m3a3utvz	687	14	parameters	parameter	NNS
cord-348010-m3a3utvz	687	15	determining	determine	VBG
cord-348010-m3a3utvz	687	16	the	the	DT
cord-348010-m3a3utvz	687	17	equivalent	equivalent	JJ
cord-348010-m3a3utvz	687	18	problem	problem	NN
cord-348010-m3a3utvz	687	19	.	.	.
cord-348010-m3a3utvz	688	1	Sometimes	sometimes	RB
cord-348010-m3a3utvz	688	2	,	,	,
cord-348010-m3a3utvz	688	3	there	there	EX
cord-348010-m3a3utvz	688	4	can	can	MD
cord-348010-m3a3utvz	688	5	be	be	VB
cord-348010-m3a3utvz	688	6	an	an	DT
cord-348010-m3a3utvz	688	7	advantage	advantage	NN
cord-348010-m3a3utvz	688	8	in	in	IN
cord-348010-m3a3utvz	688	9	numerical	numerical	JJ
cord-348010-m3a3utvz	688	10	investigations	investigation	NNS
cord-348010-m3a3utvz	688	11	.	.	.
cord-348010-m3a3utvz	689	1	Moreover	moreover	RB
cord-348010-m3a3utvz	689	2	,	,	,
cord-348010-m3a3utvz	689	3	the	the	DT
cord-348010-m3a3utvz	689	4	influence	influence	NN
cord-348010-m3a3utvz	689	5	of	of	IN
cord-348010-m3a3utvz	689	6	parameters	parameter	NNS
cord-348010-m3a3utvz	689	7	and	and	CC
cord-348010-m3a3utvz	689	8	their	-PRON-	PRP$
cord-348010-m3a3utvz	689	9	interplay	interplay	NN
cord-348010-m3a3utvz	689	10	can	can	MD
cord-348010-m3a3utvz	689	11	be	be	VB
cord-348010-m3a3utvz	689	12	well	well	RB
cord-348010-m3a3utvz	689	13	investigated	investigate	VBN
cord-348010-m3a3utvz	689	14	.	.	.
cord-348010-m3a3utvz	690	1	For	for	IN
cord-348010-m3a3utvz	690	2	more	more	JJR
cord-348010-m3a3utvz	690	3	information	information	NN
cord-348010-m3a3utvz	690	4	we	-PRON-	PRP
cord-348010-m3a3utvz	690	5	refer	refer	VBP
cord-348010-m3a3utvz	690	6	exemplarily	exemplarily	RB
cord-348010-m3a3utvz	690	7	to	to	IN
cord-348010-m3a3utvz	690	8	[	[	-LRB-
cord-348010-m3a3utvz	690	9	37	37	CD
cord-348010-m3a3utvz	690	10	]	]	-RRB-
cord-348010-m3a3utvz	690	11	[	[	-LRB-
cord-348010-m3a3utvz	690	12	38	38	CD
cord-348010-m3a3utvz	690	13	]	]	-RRB-
cord-348010-m3a3utvz	690	14	[	[	-LRB-
cord-348010-m3a3utvz	690	15	39	39	CD
cord-348010-m3a3utvz	690	16	]	]	-RRB-
cord-348010-m3a3utvz	691	1	[	[	-LRB-
cord-348010-m3a3utvz	691	2	40	40	CD
cord-348010-m3a3utvz	691	3	]	]	-RRB-
cord-348010-m3a3utvz	691	4	as	as	RB
cord-348010-m3a3utvz	691	5	well	well	RB
cord-348010-m3a3utvz	691	6	as	as	IN
cord-348010-m3a3utvz	691	7	to	to	IN
cord-348010-m3a3utvz	691	8	a	a	DT
cord-348010-m3a3utvz	691	9	compact	compact	JJ
cord-348010-m3a3utvz	691	10	presentation	presentation	NN
cord-348010-m3a3utvz	691	11	in	in	IN
cord-348010-m3a3utvz	691	12	the	the	DT
cord-348010-m3a3utvz	691	13	lecture	lecture	NN
cord-348010-m3a3utvz	691	14	[	[	-LRB-
cord-348010-m3a3utvz	691	15	41	41	CD
cord-348010-m3a3utvz	691	16	]	]	-RRB-
cord-348010-m3a3utvz	691	17	(	(	-LRB-
cord-348010-m3a3utvz	691	18	Chapter	chapter	NN
cord-348010-m3a3utvz	691	19	7	7	CD
cord-348010-m3a3utvz	691	20	)	)	-RRB-
cord-348010-m3a3utvz	691	21	.	.	.
cord-348010-m3a3utvz	692	1	We	-PRON-	PRP
cord-348010-m3a3utvz	692	2	record	record	VBP
cord-348010-m3a3utvz	692	3	that	that	IN
cord-348010-m3a3utvz	692	4	all	all	DT
cord-348010-m3a3utvz	692	5	numbers	number	NNS
cord-348010-m3a3utvz	692	6	of	of	IN
cord-348010-m3a3utvz	692	7	persons	person	NNS
cord-348010-m3a3utvz	692	8	,	,	,
cord-348010-m3a3utvz	692	9	,	,	,
cord-348010-m3a3utvz	692	10	,	,	,
cord-348010-m3a3utvz	692	11	1	1	CD
cord-348010-m3a3utvz	692	12	,	,	,
cord-348010-m3a3utvz	692	13	21	21	CD
cord-348010-m3a3utvz	692	14	,	,	,
cord-348010-m3a3utvz	692	15	22	22	CD
cord-348010-m3a3utvz	692	16	,	,	,
cord-348010-m3a3utvz	692	17	,	,	,
cord-348010-m3a3utvz	692	18	and	and	CC
cord-348010-m3a3utvz	692	19	0	0	CD
cord-348010-m3a3utvz	692	20	,	,	,
cord-348010-m3a3utvz	692	21	0	0	CD
cord-348010-m3a3utvz	692	22	,	,	,
cord-348010-m3a3utvz	692	23	0	0	CD
cord-348010-m3a3utvz	692	24	,	,	,
cord-348010-m3a3utvz	692	25	210	210	CD
cord-348010-m3a3utvz	692	26	,	,	,
cord-348010-m3a3utvz	692	27	220	220	CD
cord-348010-m3a3utvz	692	28	,	,	,
cord-348010-m3a3utvz	692	29	0	0	CD
cord-348010-m3a3utvz	692	30	and	and	CC
cord-348010-m3a3utvz	692	31	0	0	NFP
cord-348010-m3a3utvz	692	32	have	have	VBP
cord-348010-m3a3utvz	692	33	the	the	DT
cord-348010-m3a3utvz	692	34	dimension	dimension	NN
cord-348010-m3a3utvz	692	35	persons	person	NNS
cord-348010-m3a3utvz	692	36	,	,	,
cord-348010-m3a3utvz	692	37	abbreviated	abbreviate	VBN
cord-348010-m3a3utvz	692	38	by	by	IN
cord-348010-m3a3utvz	692	39	,	,	,
cord-348010-m3a3utvz	692	40	corresponding	correspond	VBG
cord-348010-m3a3utvz	692	41	units	unit	NNS
cord-348010-m3a3utvz	692	42	may	may	MD
cord-348010-m3a3utvz	692	43	be	be	VB
cord-348010-m3a3utvz	692	44	=	=	SYM
cord-348010-m3a3utvz	692	45	1	1	CD
cord-348010-m3a3utvz	692	46	as	as	RB
cord-348010-m3a3utvz	692	47	well	well	RB
cord-348010-m3a3utvz	692	48	other	other	JJ
cord-348010-m3a3utvz	692	49	ones	one	NNS
cord-348010-m3a3utvz	692	50	like	like	IN
cord-348010-m3a3utvz	692	51	100	100	CD
cord-348010-m3a3utvz	692	52	.	.	.
cord-348010-m3a3utvz	693	1	The	the	DT
cord-348010-m3a3utvz	693	2	time	time	NN
cord-348010-m3a3utvz	693	3	derivatives	derivative	NNS
cord-348010-m3a3utvz	693	4	of	of	IN
cord-348010-m3a3utvz	693	5	the	the	DT
cord-348010-m3a3utvz	693	6	functions	function	NNS
cord-348010-m3a3utvz	693	7	,	,	,
cord-348010-m3a3utvz	693	8	etc	etc	FW
cord-348010-m3a3utvz	693	9	.	.	.
cord-348010-m3a3utvz	694	1	have	have	VBP
cord-348010-m3a3utvz	694	2	the	the	DT
cord-348010-m3a3utvz	694	3	dimension	dimension	NN
cord-348010-m3a3utvz	694	4	∕	∕	JJ
cord-348010-m3a3utvz	694	5	,	,	,
cord-348010-m3a3utvz	694	6	being	be	VBG
cord-348010-m3a3utvz	694	7	the	the	DT
cord-348010-m3a3utvz	694	8	dimension	dimension	NN
cord-348010-m3a3utvz	694	9	time	time	NN
cord-348010-m3a3utvz	694	10	.	.	.
cord-348010-m3a3utvz	695	1	In	in	IN
cord-348010-m3a3utvz	695	2	connection	connection	NN
cord-348010-m3a3utvz	695	3	with	with	IN
cord-348010-m3a3utvz	695	4	epidemics	epidemic	NNS
cord-348010-m3a3utvz	695	5	the	the	DT
cord-348010-m3a3utvz	695	6	time	time	NN
cord-348010-m3a3utvz	695	7	is	be	VBZ
cord-348010-m3a3utvz	695	8	often	often	RB
cord-348010-m3a3utvz	695	9	measured	measure	VBN
cord-348010-m3a3utvz	695	10	by	by	IN
cord-348010-m3a3utvz	695	11	the	the	DT
cord-348010-m3a3utvz	695	12	unit	unit	NN
cord-348010-m3a3utvz	695	13	day	day	NN
cord-348010-m3a3utvz	695	14	.	.	.
cord-348010-m3a3utvz	696	1	Bearing	bear	VBG
cord-348010-m3a3utvz	696	2	in	in	IN
cord-348010-m3a3utvz	696	3	mind	mind	NN
cord-348010-m3a3utvz	696	4	these	these	DT
cord-348010-m3a3utvz	696	5	informations	information	NNS
cord-348010-m3a3utvz	696	6	,	,	,
cord-348010-m3a3utvz	696	7	it	-PRON-	PRP
cord-348010-m3a3utvz	696	8	follows	follow	VBZ
cord-348010-m3a3utvz	696	9	that	that	IN
cord-348010-m3a3utvz	696	10	all	all	DT
cord-348010-m3a3utvz	696	11	parameters	parameter	NNS
cord-348010-m3a3utvz	696	12	1	1	CD
cord-348010-m3a3utvz	696	13	,	,	,
cord-348010-m3a3utvz	696	14	22	22	CD
cord-348010-m3a3utvz	696	15	,	,	,
cord-348010-m3a3utvz	696	16	,	,	,
cord-348010-m3a3utvz	696	17	,	,	,
cord-348010-m3a3utvz	696	18	1	1	CD
cord-348010-m3a3utvz	696	19	,	,	,
cord-348010-m3a3utvz	696	20	21	21	CD
cord-348010-m3a3utvz	696	21	,	,	,
cord-348010-m3a3utvz	696	22	Here	here	RB
cord-348010-m3a3utvz	696	23	,	,	,
cord-348010-m3a3utvz	696	24	let	let	VB
cord-348010-m3a3utvz	696	25	>	>	XX
cord-348010-m3a3utvz	696	26	0	0	CD
cord-348010-m3a3utvz	696	27	or	or	CC
cord-348010-m3a3utvz	696	28	=	=	NFP
cord-348010-m3a3utvz	697	1	∞	∞	NNP
cord-348010-m3a3utvz	697	2	,	,	,
cord-348010-m3a3utvz	697	3	the	the	DT
cord-348010-m3a3utvz	697	4	index	index	NN
cord-348010-m3a3utvz	697	5	points	point	VBZ
cord-348010-m3a3utvz	697	6	to	to	IN
cord-348010-m3a3utvz	697	7	'	'	''
cord-348010-m3a3utvz	697	8	existence	existence	NN
cord-348010-m3a3utvz	697	9	interval	interval	NN
cord-348010-m3a3utvz	697	10	'	'	''
cord-348010-m3a3utvz	697	11	.	.	.
cord-348010-m3a3utvz	698	1	The	the	DT
cord-348010-m3a3utvz	698	2	choice	choice	NN
cord-348010-m3a3utvz	698	3	in	in	IN
cord-348010-m3a3utvz	698	4	(	(	-LRB-
cord-348010-m3a3utvz	698	5	4.1	4.1	CD
cord-348010-m3a3utvz	698	6	)	)	-RRB-
cord-348010-m3a3utvz	698	7	and	and	CC
cord-348010-m3a3utvz	698	8	(	(	-LRB-
cord-348010-m3a3utvz	698	9	4.2	4.2	CD
cord-348010-m3a3utvz	698	10	)	)	-RRB-
cord-348010-m3a3utvz	698	11	is	be	VBZ
cord-348010-m3a3utvz	698	12	motivated	motivate	VBN
cord-348010-m3a3utvz	698	13	by	by	IN
cord-348010-m3a3utvz	698	14	up	up	IN
cord-348010-m3a3utvz	698	15	to	to	IN
cord-348010-m3a3utvz	698	16	now	now	RB
cord-348010-m3a3utvz	698	17	known	know	VBN
cord-348010-m3a3utvz	698	18	findings	finding	NNS
cord-348010-m3a3utvz	698	19	on	on	IN
cord-348010-m3a3utvz	698	20	SARS	SARS	NNP
cord-348010-m3a3utvz	698	21	-	-	HYPH
cord-348010-m3a3utvz	698	22	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	698	23	.	.	.
cord-348010-m3a3utvz	699	1	The	the	DT
cord-348010-m3a3utvz	699	2	parameters	parameter	NNS
cord-348010-m3a3utvz	699	3	1	1	CD
cord-348010-m3a3utvz	699	4	and	and	CC
cord-348010-m3a3utvz	699	5	22	22	CD
cord-348010-m3a3utvz	699	6	strongly	strongly	RB
cord-348010-m3a3utvz	699	7	depend	depend	VBP
cord-348010-m3a3utvz	699	8	on	on	IN
cord-348010-m3a3utvz	699	9	human	human	JJ
cord-348010-m3a3utvz	699	10	contact	contact	NN
cord-348010-m3a3utvz	699	11	behaviour	behaviour	NN
cord-348010-m3a3utvz	699	12	,	,	,
cord-348010-m3a3utvz	699	13	the	the	DT
cord-348010-m3a3utvz	699	14	lethality	lethality	NN
cord-348010-m3a3utvz	699	15	coefficient	coefficient	NN
cord-348010-m3a3utvz	699	16	seems	seem	VBZ
cord-348010-m3a3utvz	699	17	to	to	TO
cord-348010-m3a3utvz	699	18	be	be	VB
cord-348010-m3a3utvz	699	19	influenced	influence	VBN
cord-348010-m3a3utvz	699	20	by	by	IN
cord-348010-m3a3utvz	699	21	the	the	DT
cord-348010-m3a3utvz	699	22	capacities	capacity	NNS
cord-348010-m3a3utvz	699	23	of	of	IN
cord-348010-m3a3utvz	699	24	health	health	NN
cord-348010-m3a3utvz	699	25	systems	system	NNS
cord-348010-m3a3utvz	699	26	in	in	IN
cord-348010-m3a3utvz	699	27	divers	diver	NNS
cord-348010-m3a3utvz	699	28	countries	country	NNS
cord-348010-m3a3utvz	699	29	.	.	.
cord-348010-m3a3utvz	700	1	The	the	DT
cord-348010-m3a3utvz	700	2	constance	constance	NN
cord-348010-m3a3utvz	700	3	of	of	IN
cord-348010-m3a3utvz	700	4	remaining	remain	VBG
cord-348010-m3a3utvz	700	5	parameters	parameter	NNS
cord-348010-m3a3utvz	700	6	is	be	VBZ
cord-348010-m3a3utvz	700	7	not	not	RB
cord-348010-m3a3utvz	700	8	mathematically	mathematically	RB
cord-348010-m3a3utvz	700	9	predicted	predict	VBN
cord-348010-m3a3utvz	700	10	.	.	.
cord-348010-m3a3utvz	701	1	The	the	DT
cord-348010-m3a3utvz	701	2	case	case	NN
cord-348010-m3a3utvz	701	3	≡	≡	NN
cord-348010-m3a3utvz	701	4	0	0	NFP
cord-348010-m3a3utvz	701	5	means	mean	VBZ
cord-348010-m3a3utvz	701	6	permanent	permanent	JJ
cord-348010-m3a3utvz	701	7	immunity	immunity	NN
cord-348010-m3a3utvz	701	8	.	.	.
cord-348010-m3a3utvz	702	1	The	the	DT
cord-348010-m3a3utvz	702	2	continuity	continuity	NN
cord-348010-m3a3utvz	702	3	requirements	requirement	NNS
cord-348010-m3a3utvz	702	4	in	in	IN
cord-348010-m3a3utvz	702	5	(	(	-LRB-
cord-348010-m3a3utvz	702	6	4.1	4.1	CD
cord-348010-m3a3utvz	702	7	)	)	-RRB-
cord-348010-m3a3utvz	702	8	allow	allow	VBP
cord-348010-m3a3utvz	702	9	to	to	TO
cord-348010-m3a3utvz	702	10	deal	deal	VB
cord-348010-m3a3utvz	702	11	within	within	IN
cord-348010-m3a3utvz	702	12	the	the	DT
cord-348010-m3a3utvz	702	13	framework	framework	NN
cord-348010-m3a3utvz	702	14	of	of	IN
cord-348010-m3a3utvz	702	15	continuously	continuously	RB
cord-348010-m3a3utvz	702	16	differentiable	differentiable	JJ
cord-348010-m3a3utvz	702	17	solutions	solution	NNS
cord-348010-m3a3utvz	702	18	,	,	,
cord-348010-m3a3utvz	702	19	see	see	VB
cord-348010-m3a3utvz	702	20	Remark	remark	NN
cord-348010-m3a3utvz	702	21	4.4	4.4	CD
cord-348010-m3a3utvz	702	22	(	(	-LRB-
cord-348010-m3a3utvz	702	23	i	i	NN
cord-348010-m3a3utvz	702	24	)	)	-RRB-
cord-348010-m3a3utvz	702	25	.	.	.
cord-348010-m3a3utvz	703	1	The	the	DT
cord-348010-m3a3utvz	703	2	next	next	JJ
cord-348010-m3a3utvz	703	3	step	step	NN
cord-348010-m3a3utvz	703	4	is	be	VBZ
cord-348010-m3a3utvz	703	5	to	to	TO
cord-348010-m3a3utvz	703	6	define	define	VB
cord-348010-m3a3utvz	703	7	a	a	DT
cord-348010-m3a3utvz	703	8	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	703	9	time	time	NN
cord-348010-m3a3utvz	703	10	(	(	-LRB-
cord-348010-m3a3utvz	703	11	number	number	NN
cord-348010-m3a3utvz	703	12	)	)	-RRB-
cord-348010-m3a3utvz	703	13	(	(	-LRB-
cord-348010-m3a3utvz	703	14	see	see	VB
cord-348010-m3a3utvz	703	15	Remark	remark	NN
cord-348010-m3a3utvz	703	16	4.2	4.2	CD
cord-348010-m3a3utvz	703	17	(	(	-LRB-
cord-348010-m3a3utvz	703	18	iii	iii	NN
cord-348010-m3a3utvz	703	19	)	)	-RRB-
cord-348010-m3a3utvz	703	20	)	)	-RRB-
cord-348010-m3a3utvz	703	21	.	.	.
cord-348010-m3a3utvz	704	1	We	-PRON-	PRP
cord-348010-m3a3utvz	704	2	choose	choose	VBP
cord-348010-m3a3utvz	704	3	the	the	DT
cord-348010-m3a3utvz	704	4	approach	approach	NN
cord-348010-m3a3utvz	704	5	For	for	IN
cord-348010-m3a3utvz	704	6	a	a	DT
cord-348010-m3a3utvz	704	7	better	well	JJR
cord-348010-m3a3utvz	704	8	overview	overview	NN
cord-348010-m3a3utvz	704	9	we	-PRON-	PRP
cord-348010-m3a3utvz	704	10	usually	usually	RB
cord-348010-m3a3utvz	704	11	do	do	VBP
cord-348010-m3a3utvz	704	12	not	not	RB
cord-348010-m3a3utvz	704	13	write	write	VB
cord-348010-m3a3utvz	704	14	the	the	DT
cord-348010-m3a3utvz	704	15	argument	argument	NN
cord-348010-m3a3utvz	704	16	,	,	,
cord-348010-m3a3utvz	704	17	derivatives	derivative	NNS
cord-348010-m3a3utvz	704	18	with	with	IN
cord-348010-m3a3utvz	704	19	respect	respect	NN
cord-348010-m3a3utvz	704	20	to	to	TO
cord-348010-m3a3utvz	704	21	are	be	VBP
cord-348010-m3a3utvz	704	22	also	also	RB
cord-348010-m3a3utvz	704	23	indicated	indicate	VBN
cord-348010-m3a3utvz	704	24	by	by	IN
cord-348010-m3a3utvz	704	25	a	a	DT
cord-348010-m3a3utvz	704	26	dot	dot	NN
cord-348010-m3a3utvz	704	27	.	.	.
cord-348010-m3a3utvz	705	1	The	the	DT
cord-348010-m3a3utvz	705	2	dimensionless	dimensionless	NN
cord-348010-m3a3utvz	705	3	functioñhas	functioñha	VBZ
cord-348010-m3a3utvz	705	4	the	the	DT
cord-348010-m3a3utvz	705	5	following	follow	VBG
cord-348010-m3a3utvz	705	6	form	form	NN
cord-348010-m3a3utvz	705	7	.	.	.
cord-348010-m3a3utvz	705	8	.	.	.
cord-348010-m3a3utvz	706	1	(	(	-LRB-
cord-348010-m3a3utvz	706	2	4.14	4.14	CD
cord-348010-m3a3utvz	706	3	)	)	-RRB-
cord-348010-m3a3utvz	706	4	Taking	take	VBG
cord-348010-m3a3utvz	706	5	(	(	-LRB-
cord-348010-m3a3utvz	706	6	3.23	3.23	CD
cord-348010-m3a3utvz	706	7	)	)	-RRB-
cord-348010-m3a3utvz	706	8	,	,	,
cord-348010-m3a3utvz	706	9	(	(	-LRB-
cord-348010-m3a3utvz	706	10	4.13	4.13	CD
cord-348010-m3a3utvz	706	11	)	)	-RRB-
cord-348010-m3a3utvz	706	12	and	and	CC
cord-348010-m3a3utvz	706	13	(	(	-LRB-
cord-348010-m3a3utvz	706	14	4.14	4.14	CD
cord-348010-m3a3utvz	706	15	)	)	-RRB-
cord-348010-m3a3utvz	706	16	into	into	IN
cord-348010-m3a3utvz	706	17	account	account	NN
cord-348010-m3a3utvz	706	18	,	,	,
cord-348010-m3a3utvz	706	19	the	the	DT
cord-348010-m3a3utvz	706	20	term̃	term̃	NNP
cord-348010-m3a3utvz	707	1	(	(	-LRB-
cord-348010-m3a3utvz	707	2	)	)	-RRB-
cord-348010-m3a3utvz	707	3	is	be	VBZ
cord-348010-m3a3utvz	707	4	written	write	VBN
cord-348010-m3a3utvz	707	5	as	as	IN
cord-348010-m3a3utvz	707	6	,	,	,
cord-348010-m3a3utvz	707	7	for	for	IN
cord-348010-m3a3utvz	707	8	0	0	CD
cord-348010-m3a3utvz	707	9	≤	≤	NN
cord-348010-m3a3utvz	707	10	≤	≤	NN
cord-348010-m3a3utvz	707	11	,	,	,
cord-348010-m3a3utvz	707	12	0	0	CD
cord-348010-m3a3utvz	707	13	,	,	,
cord-348010-m3a3utvz	707	14	for	for	IN
cord-348010-m3a3utvz	707	15	<	<	XX
cord-348010-m3a3utvz	707	16	0	0	NFP
cord-348010-m3a3utvz	707	17	.	.	.
cord-348010-m3a3utvz	708	1	1	1	LS
cord-348010-m3a3utvz	708	2	=	=	SYM
cord-348010-m3a3utvz	708	3	0	0	CD
cord-348010-m3a3utvz	708	4	+	+	CD
cord-348010-m3a3utvz	709	1	0	0	NFP
cord-348010-m3a3utvz	709	2	+	+	CD
cord-348010-m3a3utvz	710	1	10	10	CD
cord-348010-m3a3utvz	710	2	+	+	SYM
cord-348010-m3a3utvz	710	3	210	210	CD
cord-348010-m3a3utvz	710	4	+	+	SYM
cord-348010-m3a3utvz	710	5	220	220	CD
cord-348010-m3a3utvz	710	6	+	+	SYM
cord-348010-m3a3utvz	710	7	0	0	CD
cord-348010-m3a3utvz	710	8	+	+	SYM
cord-348010-m3a3utvz	710	9	0	0	CD
cord-348010-m3a3utvz	710	10	.	.	.
cord-348010-m3a3utvz	711	1	(	(	-LRB-
cord-348010-m3a3utvz	711	2	4.23	4.23	CD
cord-348010-m3a3utvz	711	3	)	)	-RRB-
cord-348010-m3a3utvz	712	1	The	the	DT
cord-348010-m3a3utvz	712	2	additional	additional	JJ
cord-348010-m3a3utvz	712	3	condition	condition	NN
cord-348010-m3a3utvz	712	4	(	(	-LRB-
cord-348010-m3a3utvz	712	5	3.18	3.18	CD
cord-348010-m3a3utvz	712	6	)	)	-RRB-
cord-348010-m3a3utvz	712	7	necessary	necessary	JJ
cord-348010-m3a3utvz	712	8	for	for	IN
cord-348010-m3a3utvz	712	9	a	a	DT
cord-348010-m3a3utvz	712	10	release	release	NN
cord-348010-m3a3utvz	712	11	of	of	IN
cord-348010-m3a3utvz	712	12	infection	infection	NN
cord-348010-m3a3utvz	712	13	leads	lead	VBZ
cord-348010-m3a3utvz	712	14	to	to	IN
cord-348010-m3a3utvz	712	15	its	-PRON-	PRP$
cord-348010-m3a3utvz	712	16	counterpart	counterpart	NN
cord-348010-m3a3utvz	712	17	0	0	CD
cord-348010-m3a3utvz	712	18	+	+	SYM
cord-348010-m3a3utvz	712	19	10	10	CD
cord-348010-m3a3utvz	712	20	+	+	SYM
cord-348010-m3a3utvz	712	21	210	210	CD
cord-348010-m3a3utvz	712	22	+	+	SYM
cord-348010-m3a3utvz	712	23	220	220	CD
cord-348010-m3a3utvz	713	1	>	>	XX
cord-348010-m3a3utvz	713	2	0	0	NFP
cord-348010-m3a3utvz	713	3	.	.	.
cord-348010-m3a3utvz	714	1	(	(	-LRB-
cord-348010-m3a3utvz	714	2	4.24	4.24	CD
cord-348010-m3a3utvz	714	3	)	)	-RRB-
cord-348010-m3a3utvz	715	1	The	the	DT
cord-348010-m3a3utvz	715	2	mathematical	mathematical	JJ
cord-348010-m3a3utvz	715	3	problem	problem	NN
cord-348010-m3a3utvz	715	4	(	(	-LRB-
cord-348010-m3a3utvz	715	5	4.6)-(4.12	4.6)-(4.12	CD
cord-348010-m3a3utvz	715	6	)	)	-RRB-
cord-348010-m3a3utvz	715	7	,	,	,
cord-348010-m3a3utvz	715	8	(	(	-LRB-
cord-348010-m3a3utvz	715	9	4.16)-(4.22	4.16)-(4.22	CD
cord-348010-m3a3utvz	715	10	)	)	-RRB-
cord-348010-m3a3utvz	715	11	consists	consist	VBZ
cord-348010-m3a3utvz	715	12	in	in	IN
cord-348010-m3a3utvz	715	13	determining	determine	VBG
cord-348010-m3a3utvz	715	14	seven	seven	CD
cord-348010-m3a3utvz	715	15	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	715	16	functions	function	NNS
cord-348010-m3a3utvz	715	17	,	,	,
cord-348010-m3a3utvz	715	18	,	,	,
cord-348010-m3a3utvz	715	19	,	,	,
cord-348010-m3a3utvz	715	20	1	1	CD
cord-348010-m3a3utvz	715	21	,	,	,
cord-348010-m3a3utvz	715	22	21	21	CD
cord-348010-m3a3utvz	715	23	,	,	,
cord-348010-m3a3utvz	715	24	22	22	CD
cord-348010-m3a3utvz	715	25	,	,	,
cord-348010-m3a3utvz	715	26	,	,	,
cord-348010-m3a3utvz	715	27	which	which	WDT
cord-348010-m3a3utvz	715	28	argument	argument	NN
cord-348010-m3a3utvz	715	29	is	be	VBZ
cord-348010-m3a3utvz	715	30	the	the	DT
cord-348010-m3a3utvz	715	31	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	715	32	time	time	NN
cord-348010-m3a3utvz	715	33	(	(	-LRB-
cord-348010-m3a3utvz	715	34	number	number	NN
cord-348010-m3a3utvz	715	35	)	)	-RRB-
cord-348010-m3a3utvz	715	36	.	.	.
cord-348010-m3a3utvz	716	1	This	this	DT
cord-348010-m3a3utvz	716	2	problem	problem	NN
cord-348010-m3a3utvz	716	3	is	be	VBZ
cord-348010-m3a3utvz	716	4	governed	govern	VBN
cord-348010-m3a3utvz	716	5	by	by	IN
cord-348010-m3a3utvz	716	6	seven	seven	CD
cord-348010-m3a3utvz	716	7	(	(	-LRB-
cord-348010-m3a3utvz	716	8	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	716	9	)	)	-RRB-
cord-348010-m3a3utvz	716	10	parameter	parameter	NN
cord-348010-m3a3utvz	716	11	functions	function	NNS
cord-348010-m3a3utvz	716	12	in	in	IN
cord-348010-m3a3utvz	716	13	(	(	-LRB-
cord-348010-m3a3utvz	716	14	4.5	4.5	CD
cord-348010-m3a3utvz	716	15	)	)	-RRB-
cord-348010-m3a3utvz	716	16	,	,	,
cord-348010-m3a3utvz	716	17	by	by	IN
cord-348010-m3a3utvz	716	18	,	,	,
cord-348010-m3a3utvz	716	19	by	by	IN
cord-348010-m3a3utvz	716	20	three	three	CD
cord-348010-m3a3utvz	716	21	numbers	number	NNS
cord-348010-m3a3utvz	716	22	1	1	CD
cord-348010-m3a3utvz	716	23	,	,	,
cord-348010-m3a3utvz	716	24	2	2	CD
cord-348010-m3a3utvz	716	25	,	,	,
cord-348010-m3a3utvz	716	26	̃1	̃1	CD
cord-348010-m3a3utvz	716	27	and	and	CC
cord-348010-m3a3utvz	716	28	the	the	DT
cord-348010-m3a3utvz	716	29	threshold	threshold	NN
cord-348010-m3a3utvz	716	30	value	value	NN
cord-348010-m3a3utvz	716	31	induced	induce	VBN
cord-348010-m3a3utvz	716	32	by	by	IN
cord-348010-m3a3utvz	716	33	the	the	DT
cord-348010-m3a3utvz	716	34	vaccination	vaccination	NN
cord-348010-m3a3utvz	716	35	rate	rate	NN
cord-348010-m3a3utvz	716	36	as	as	RB
cord-348010-m3a3utvz	716	37	well	well	RB
cord-348010-m3a3utvz	716	38	as	as	IN
cord-348010-m3a3utvz	716	39	by	by	IN
cord-348010-m3a3utvz	716	40	seven	seven	CD
cord-348010-m3a3utvz	716	41	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	716	42	initial	initial	JJ
cord-348010-m3a3utvz	716	43	conditions	condition	NNS
cord-348010-m3a3utvz	716	44	0	0	CD
cord-348010-m3a3utvz	716	45	,	,	,
cord-348010-m3a3utvz	716	46	0	0	CD
cord-348010-m3a3utvz	716	47	,	,	,
cord-348010-m3a3utvz	716	48	10	10	CD
cord-348010-m3a3utvz	716	49	,	,	,
cord-348010-m3a3utvz	716	50	210	210	CD
cord-348010-m3a3utvz	716	51	,	,	,
cord-348010-m3a3utvz	716	52	220	220	CD
cord-348010-m3a3utvz	716	53	,	,	,
cord-348010-m3a3utvz	716	54	0	0	CD
cord-348010-m3a3utvz	716	55	,	,	,
cord-348010-m3a3utvz	716	56	0	0	CD
cord-348010-m3a3utvz	716	57	.	.	.
cord-348010-m3a3utvz	717	1	Now	now	RB
cord-348010-m3a3utvz	717	2	,	,	,
cord-348010-m3a3utvz	717	3	it	-PRON-	PRP
cord-348010-m3a3utvz	717	4	is	be	VBZ
cord-348010-m3a3utvz	717	5	the	the	DT
cord-348010-m3a3utvz	717	6	aim	aim	NN
cord-348010-m3a3utvz	717	7	to	to	TO
cord-348010-m3a3utvz	717	8	define	define	VB
cord-348010-m3a3utvz	717	9	a	a	DT
cord-348010-m3a3utvz	717	10	solution	solution	NN
cord-348010-m3a3utvz	717	11	to	to	IN
cord-348010-m3a3utvz	717	12	the	the	DT
cord-348010-m3a3utvz	717	13	non	non	JJ
cord-348010-m3a3utvz	717	14	-	-	JJ
cord-348010-m3a3utvz	717	15	dimensionalized	dimensionalized	JJ
cord-348010-m3a3utvz	717	16	problem	problem	NN
cord-348010-m3a3utvz	717	17	(	(	-LRB-
cord-348010-m3a3utvz	717	18	4.6)-(4.12	4.6)-(4.12	CD
cord-348010-m3a3utvz	717	19	)	)	-RRB-
cord-348010-m3a3utvz	717	20	,	,	,
cord-348010-m3a3utvz	717	21	(	(	-LRB-
cord-348010-m3a3utvz	717	22	4.16)-(4.22	4.16)-(4.22	CD
cord-348010-m3a3utvz	717	23	)	)	-RRB-
cord-348010-m3a3utvz	717	24	and	and	CC
cord-348010-m3a3utvz	717	25	hence	hence	RB
cord-348010-m3a3utvz	717	26	also	also	RB
cord-348010-m3a3utvz	717	27	for	for	IN
cord-348010-m3a3utvz	717	28	the	the	DT
cord-348010-m3a3utvz	717	29	original	original	JJ
cord-348010-m3a3utvz	717	30	problem	problem	NN
cord-348010-m3a3utvz	717	31	(	(	-LRB-
cord-348010-m3a3utvz	717	32	3.1	3.1	CD
cord-348010-m3a3utvz	717	33	)	)	-RRB-
cord-348010-m3a3utvz	717	34	,	,	,
cord-348010-m3a3utvz	717	35	(	(	-LRB-
cord-348010-m3a3utvz	717	36	3.3)-(3.6	3.3)-(3.6	NNP
cord-348010-m3a3utvz	717	37	)	)	-RRB-
cord-348010-m3a3utvz	717	38	,	,	,
cord-348010-m3a3utvz	717	39	(	(	-LRB-
cord-348010-m3a3utvz	717	40	3.8)-(3.16	3.8)-(3.16	NNP
cord-348010-m3a3utvz	717	41	)	)	-RRB-
cord-348010-m3a3utvz	717	42	.	.	.
cord-348010-m3a3utvz	718	1	We	-PRON-	PRP
cord-348010-m3a3utvz	718	2	use	use	VBP
cord-348010-m3a3utvz	718	3	mathematical	mathematical	JJ
cord-348010-m3a3utvz	718	4	standard	standard	JJ
cord-348010-m3a3utvz	718	5	notations	notation	NNS
cord-348010-m3a3utvz	718	6	for	for	IN
cord-348010-m3a3utvz	718	7	spaces	space	NNS
cord-348010-m3a3utvz	718	8	of	of	IN
cord-348010-m3a3utvz	718	9	continuous	continuous	JJ
cord-348010-m3a3utvz	718	10	and	and	CC
cord-348010-m3a3utvz	718	11	continuously	continuously	RB
cord-348010-m3a3utvz	718	12	differentiable	differentiable	JJ
cord-348010-m3a3utvz	718	13	functions	function	NNS
cord-348010-m3a3utvz	718	14	with	with	IN
cord-348010-m3a3utvz	718	15	values	value	NNS
cord-348010-m3a3utvz	718	16	in	in	IN
cord-348010-m3a3utvz	718	17	ℝ	ℝ	NNP
cord-348010-m3a3utvz	718	18	as	as	RB
cord-348010-m3a3utvz	718	19	well	well	RB
cord-348010-m3a3utvz	718	20	as	as	IN
cord-348010-m3a3utvz	718	21	in	in	IN
cord-348010-m3a3utvz	718	22	ℝ	ℝ	NN
cord-348010-m3a3utvz	718	23	(	(	-LRB-
cord-348010-m3a3utvz	718	24	∈	∈	NN
cord-348010-m3a3utvz	718	25	ℕ	ℕ	NNP
cord-348010-m3a3utvz	718	26	)	)	-RRB-
cord-348010-m3a3utvz	718	27	,	,	,
cord-348010-m3a3utvz	718	28	see	see	VB
cord-348010-m3a3utvz	718	29	[	[	-LRB-
cord-348010-m3a3utvz	718	30	42	42	CD
cord-348010-m3a3utvz	718	31	]	]	-RRB-
cord-348010-m3a3utvz	718	32	,	,	.
cord-348010-m3a3utvz	719	1	e.g.	e.g.	RB
cord-348010-m3a3utvz	719	2	For	for	IN
cord-348010-m3a3utvz	719	3	the	the	DT
cord-348010-m3a3utvz	719	4	theory	theory	NN
cord-348010-m3a3utvz	719	5	of	of	IN
cord-348010-m3a3utvz	719	6	ordinary	ordinary	JJ
cord-348010-m3a3utvz	719	7	differential	differential	JJ
cord-348010-m3a3utvz	719	8	equations	equation	NNS
cord-348010-m3a3utvz	719	9	(	(	-LRB-
cord-348010-m3a3utvz	719	10	ODE	ODE	NNP
cord-348010-m3a3utvz	719	11	)	)	-RRB-
cord-348010-m3a3utvz	719	12	we	-PRON-	PRP
cord-348010-m3a3utvz	719	13	refer	refer	VBP
cord-348010-m3a3utvz	719	14	exemplarily	exemplarily	RB
cord-348010-m3a3utvz	719	15	to	to	IN
cord-348010-m3a3utvz	719	16	[	[	-LRB-
cord-348010-m3a3utvz	719	17	34	34	CD
cord-348010-m3a3utvz	719	18	,	,	,
cord-348010-m3a3utvz	719	19	35	35	CD
cord-348010-m3a3utvz	719	20	,	,	,
cord-348010-m3a3utvz	719	21	43	43	CD
cord-348010-m3a3utvz	719	22	]	]	-RRB-
cord-348010-m3a3utvz	719	23	.	.	.
cord-348010-m3a3utvz	720	1	The	the	DT
cord-348010-m3a3utvz	720	2	preceding	precede	VBG
cord-348010-m3a3utvz	720	3	definition	definition	NN
cord-348010-m3a3utvz	720	4	contains	contain	VBZ
cord-348010-m3a3utvz	720	5	also	also	RB
cord-348010-m3a3utvz	720	6	assumptions	assumption	NNS
cord-348010-m3a3utvz	720	7	which	which	WDT
cord-348010-m3a3utvz	720	8	are	be	VBP
cord-348010-m3a3utvz	720	9	not	not	RB
cord-348010-m3a3utvz	720	10	mandatory	mandatory	JJ
cord-348010-m3a3utvz	720	11	.	.	.
cord-348010-m3a3utvz	721	1	However	however	RB
cord-348010-m3a3utvz	721	2	,	,	,
cord-348010-m3a3utvz	721	3	in	in	IN
cord-348010-m3a3utvz	721	4	doing	do	VBG
cord-348010-m3a3utvz	721	5	so	so	RB
cord-348010-m3a3utvz	721	6	,	,	,
cord-348010-m3a3utvz	721	7	we	-PRON-	PRP
cord-348010-m3a3utvz	721	8	do	do	VBP
cord-348010-m3a3utvz	721	9	not	not	RB
cord-348010-m3a3utvz	721	10	need	need	VB
cord-348010-m3a3utvz	721	11	to	to	TO
cord-348010-m3a3utvz	721	12	repeat	repeat	VB
cord-348010-m3a3utvz	721	13	them	-PRON-	PRP
cord-348010-m3a3utvz	721	14	below	below	RB
cord-348010-m3a3utvz	721	15	.	.	.
cord-348010-m3a3utvz	722	1	For	for	IN
cord-348010-m3a3utvz	722	2	convenience	convenience	NN
cord-348010-m3a3utvz	722	3	we	-PRON-	PRP
cord-348010-m3a3utvz	722	4	define	define	VBP
cord-348010-m3a3utvz	722	5	local	local	JJ
cord-348010-m3a3utvz	722	6	solutions	solution	NNS
cord-348010-m3a3utvz	722	7	on	on	IN
cord-348010-m3a3utvz	722	8	closed	closed	JJ
cord-348010-m3a3utvz	722	9	intervals	interval	NNS
cord-348010-m3a3utvz	722	10	.	.	.
cord-348010-m3a3utvz	723	1	This	this	DT
cord-348010-m3a3utvz	723	2	is	be	VBZ
cord-348010-m3a3utvz	723	3	also	also	RB
cord-348010-m3a3utvz	723	4	not	not	RB
cord-348010-m3a3utvz	723	5	mandatory	mandatory	JJ
cord-348010-m3a3utvz	723	6	.	.	.
cord-348010-m3a3utvz	724	1	Analogously	analogously	RB
cord-348010-m3a3utvz	724	2	,	,	,
cord-348010-m3a3utvz	724	3	local	local	JJ
cord-348010-m3a3utvz	724	4	and	and	CC
cord-348010-m3a3utvz	724	5	global	global	JJ
cord-348010-m3a3utvz	724	6	solutions	solution	NNS
cord-348010-m3a3utvz	724	7	to	to	IN
cord-348010-m3a3utvz	724	8	the	the	DT
cord-348010-m3a3utvz	724	9	original	original	JJ
cord-348010-m3a3utvz	724	10	problem	problem	NN
cord-348010-m3a3utvz	724	11	(	(	-LRB-
cord-348010-m3a3utvz	724	12	3.1	3.1	CD
cord-348010-m3a3utvz	724	13	)	)	-RRB-
cord-348010-m3a3utvz	724	14	,	,	,
cord-348010-m3a3utvz	724	15	(	(	-LRB-
cord-348010-m3a3utvz	724	16	3.3)-(3.6	3.3)-(3.6	NNP
cord-348010-m3a3utvz	724	17	)	)	-RRB-
cord-348010-m3a3utvz	724	18	,	,	,
cord-348010-m3a3utvz	724	19	(	(	-LRB-
cord-348010-m3a3utvz	724	20	3.8)-(3.16	3.8)-(3.16	NNP
cord-348010-m3a3utvz	724	21	)	)	-RRB-
cord-348010-m3a3utvz	724	22	can	can	MD
cord-348010-m3a3utvz	724	23	be	be	VB
cord-348010-m3a3utvz	724	24	defined	define	VBN
cord-348010-m3a3utvz	724	25	.	.	.
cord-348010-m3a3utvz	725	1	There	there	EX
cord-348010-m3a3utvz	725	2	holds	hold	VBZ
cord-348010-m3a3utvz	725	3	the	the	DT
cord-348010-m3a3utvz	725	4	following	follow	VBG
cord-348010-m3a3utvz	725	5	important	important	JJ
cord-348010-m3a3utvz	725	6	assertion	assertion	NN
cord-348010-m3a3utvz	725	7	.	.	.
cord-348010-m3a3utvz	726	1	In	in	IN
cord-348010-m3a3utvz	726	2	many	many	JJ
cord-348010-m3a3utvz	726	3	cases	case	NNS
cord-348010-m3a3utvz	726	4	,	,	,
cord-348010-m3a3utvz	726	5	the	the	DT
cord-348010-m3a3utvz	726	6	corresponding	corresponding	JJ
cord-348010-m3a3utvz	726	7	non	non	JJ
cord-348010-m3a3utvz	726	8	-	-	JJ
cord-348010-m3a3utvz	726	9	dimensionalized	dimensionalized	JJ
cord-348010-m3a3utvz	726	10	problems	problem	NNS
cord-348010-m3a3utvz	726	11	are	be	VBP
cord-348010-m3a3utvz	726	12	simplifications	simplification	NNS
cord-348010-m3a3utvz	726	13	of	of	IN
cord-348010-m3a3utvz	726	14	the	the	DT
cord-348010-m3a3utvz	726	15	equivalent	equivalent	JJ
cord-348010-m3a3utvz	726	16	original	original	JJ
cord-348010-m3a3utvz	726	17	ones	one	NNS
cord-348010-m3a3utvz	726	18	.	.	.
cord-348010-m3a3utvz	727	1	(	(	-LRB-
cord-348010-m3a3utvz	727	2	Here	here	RB
cord-348010-m3a3utvz	727	3	,	,	,
cord-348010-m3a3utvz	727	4	the	the	DT
cord-348010-m3a3utvz	727	5	non	non	JJ
cord-348010-m3a3utvz	727	6	-	-	JJ
cord-348010-m3a3utvz	727	7	dimensionalized	dimensionalized	JJ
cord-348010-m3a3utvz	727	8	problem	problem	NN
cord-348010-m3a3utvz	727	9	is	be	VBZ
cord-348010-m3a3utvz	727	10	governed	govern	VBN
cord-348010-m3a3utvz	727	11	by	by	IN
cord-348010-m3a3utvz	727	12	only	only	RB
cord-348010-m3a3utvz	727	13	seven	seven	CD
cord-348010-m3a3utvz	727	14	parameters	parameter	NNS
cord-348010-m3a3utvz	727	15	instead	instead	RB
cord-348010-m3a3utvz	727	16	of	of	IN
cord-348010-m3a3utvz	727	17	eight	eight	CD
cord-348010-m3a3utvz	727	18	ones	one	NNS
cord-348010-m3a3utvz	727	19	.	.	.
cord-348010-m3a3utvz	727	20	)	)	-RRB-
cord-348010-m3a3utvz	728	1	As	as	IN
cord-348010-m3a3utvz	728	2	a	a	DT
cord-348010-m3a3utvz	728	3	consequence	consequence	NN
cord-348010-m3a3utvz	728	4	,	,	,
cord-348010-m3a3utvz	728	5	theoretical	theoretical	JJ
cord-348010-m3a3utvz	728	6	and	and	CC
cord-348010-m3a3utvz	728	7	numerical	numerical	JJ
cord-348010-m3a3utvz	728	8	investigations	investigation	NNS
cord-348010-m3a3utvz	728	9	may	may	MD
cord-348010-m3a3utvz	728	10	be	be	VB
cord-348010-m3a3utvz	728	11	easier	easy	JJR
cord-348010-m3a3utvz	728	12	,	,	,
cord-348010-m3a3utvz	728	13	see	see	VB
cord-348010-m3a3utvz	728	14	Section	section	NN
cord-348010-m3a3utvz	728	15	4.3	4.3	CD
cord-348010-m3a3utvz	728	16	for	for	IN
cord-348010-m3a3utvz	728	17	examples	example	NNS
cord-348010-m3a3utvz	728	18	.	.	.
cord-348010-m3a3utvz	729	1	After	after	IN
cord-348010-m3a3utvz	729	2	dealing	deal	VBG
cord-348010-m3a3utvz	729	3	with	with	IN
cord-348010-m3a3utvz	729	4	the	the	DT
cord-348010-m3a3utvz	729	5	non	non	JJ
cord-348010-m3a3utvz	729	6	-	-	JJ
cord-348010-m3a3utvz	729	7	dimensionalized	dimensionalized	JJ
cord-348010-m3a3utvz	729	8	problem	problem	NN
cord-348010-m3a3utvz	729	9	,	,	,
cord-348010-m3a3utvz	729	10	the	the	DT
cord-348010-m3a3utvz	729	11	transformation	transformation	NN
cord-348010-m3a3utvz	729	12	back	back	RB
cord-348010-m3a3utvz	729	13	to	to	IN
cord-348010-m3a3utvz	729	14	the	the	DT
cord-348010-m3a3utvz	729	15	solution	solution	NN
cord-348010-m3a3utvz	729	16	of	of	IN
cord-348010-m3a3utvz	729	17	the	the	DT
cord-348010-m3a3utvz	729	18	original	original	JJ
cord-348010-m3a3utvz	729	19	problem	problem	NN
cord-348010-m3a3utvz	729	20	is	be	VBZ
cord-348010-m3a3utvz	729	21	performed	perform	VBN
cord-348010-m3a3utvz	729	22	with	with	IN
cord-348010-m3a3utvz	729	23	the	the	DT
cord-348010-m3a3utvz	729	24	simple	simple	JJ
cord-348010-m3a3utvz	729	25	scaling	scaling	NN
cord-348010-m3a3utvz	729	26	in	in	IN
cord-348010-m3a3utvz	729	27	(	(	-LRB-
cord-348010-m3a3utvz	729	28	4.25	4.25	CD
cord-348010-m3a3utvz	729	29	)	)	-RRB-
cord-348010-m3a3utvz	729	30	for	for	IN
cord-348010-m3a3utvz	729	31	all	all	DT
cord-348010-m3a3utvz	729	32	solution	solution	NN
cord-348010-m3a3utvz	729	33	components	component	NNS
cord-348010-m3a3utvz	729	34	without	without	IN
cord-348010-m3a3utvz	729	35	a	a	DT
cord-348010-m3a3utvz	729	36	noteworthy	noteworthy	JJ
cord-348010-m3a3utvz	729	37	effort	effort	NN
cord-348010-m3a3utvz	729	38	.	.	.
cord-348010-m3a3utvz	730	1	We	-PRON-	PRP
cord-348010-m3a3utvz	730	2	close	close	VBP
cord-348010-m3a3utvz	730	3	this	this	DT
cord-348010-m3a3utvz	730	4	paragraph	paragraph	NN
cord-348010-m3a3utvz	730	5	with	with	IN
cord-348010-m3a3utvz	730	6	some	some	DT
cord-348010-m3a3utvz	730	7	remarks	remark	NNS
cord-348010-m3a3utvz	730	8	.	.	.
cord-348010-m3a3utvz	731	1	For	for	IN
cord-348010-m3a3utvz	731	2	instance	instance	NN
cord-348010-m3a3utvz	731	3	,	,	,
cord-348010-m3a3utvz	731	4	in	in	IN
cord-348010-m3a3utvz	731	5	[	[	-LRB-
cord-348010-m3a3utvz	731	6	29	29	CD
cord-348010-m3a3utvz	731	7	]	]	-RRB-
cord-348010-m3a3utvz	731	8	,	,	,
cord-348010-m3a3utvz	731	9	the	the	DT
cord-348010-m3a3utvz	731	10	above	above	JJ
cord-348010-m3a3utvz	731	11	problem	problem	NN
cord-348010-m3a3utvz	731	12	is	be	VBZ
cord-348010-m3a3utvz	731	13	considered	consider	VBN
cord-348010-m3a3utvz	731	14	with	with	IN
cord-348010-m3a3utvz	731	15	variable	variable	JJ
cord-348010-m3a3utvz	731	16	parameters	parameter	NNS
cord-348010-m3a3utvz	731	17	,	,	,
cord-348010-m3a3utvz	731	18	and	and	CC
cord-348010-m3a3utvz	731	19	is	be	VBZ
cord-348010-m3a3utvz	731	20	chosen	choose	VBN
cord-348010-m3a3utvz	731	21	by	by	IN
cord-348010-m3a3utvz	731	22	∶=	∶=	NNP
cord-348010-m3a3utvz	731	23	1	1	CD
cord-348010-m3a3utvz	731	24	(	(	-LRB-
cord-348010-m3a3utvz	731	25	0	0	NFP
cord-348010-m3a3utvz	731	26	)	)	-RRB-
cord-348010-m3a3utvz	731	27	.	.	.
cord-348010-m3a3utvz	732	1	Another	another	DT
cord-348010-m3a3utvz	732	2	approach	approach	NN
cord-348010-m3a3utvz	732	3	uses	use	VBZ
cord-348010-m3a3utvz	732	4	the	the	DT
cord-348010-m3a3utvz	732	5	latent	latent	JJ
cord-348010-m3a3utvz	732	6	period	period	NN
cord-348010-m3a3utvz	732	7	,	,	,
cord-348010-m3a3utvz	732	8	setting	set	VBG
cord-348010-m3a3utvz	732	9	∶=	∶=	NNP
cord-348010-m3a3utvz	732	10	∕	∕	JJ
cord-348010-m3a3utvz	732	11	.	.	.
cord-348010-m3a3utvz	733	1	Again	again	RB
cord-348010-m3a3utvz	733	2	,	,	,
cord-348010-m3a3utvz	733	3	based	base	VBN
cord-348010-m3a3utvz	733	4	on	on	IN
cord-348010-m3a3utvz	733	5	further	further	JJ
cord-348010-m3a3utvz	733	6	investigations	investigation	NNS
cord-348010-m3a3utvz	733	7	,	,	,
cord-348010-m3a3utvz	733	8	a	a	DT
cord-348010-m3a3utvz	733	9	chosen	choose	VBN
cord-348010-m3a3utvz	733	10	approach	approach	NN
cord-348010-m3a3utvz	733	11	can	can	MD
cord-348010-m3a3utvz	733	12	prove	prove	VB
cord-348010-m3a3utvz	733	13	to	to	TO
cord-348010-m3a3utvz	733	14	be	be	VB
cord-348010-m3a3utvz	733	15	more	more	RBR
cord-348010-m3a3utvz	733	16	or	or	CC
cord-348010-m3a3utvz	733	17	less	less	RBR
cord-348010-m3a3utvz	733	18	convenient	convenient	JJ
cord-348010-m3a3utvz	733	19	.	.	.
cord-348010-m3a3utvz	734	1	(	(	-LRB-
cord-348010-m3a3utvz	734	2	ii	ii	NN
cord-348010-m3a3utvz	734	3	)	)	-RRB-
cord-348010-m3a3utvz	735	1	As	as	IN
cord-348010-m3a3utvz	735	2	it	-PRON-	PRP
cord-348010-m3a3utvz	735	3	can	can	MD
cord-348010-m3a3utvz	735	4	be	be	VB
cord-348010-m3a3utvz	735	5	seen	see	VBN
cord-348010-m3a3utvz	735	6	in	in	IN
cord-348010-m3a3utvz	735	7	(	(	-LRB-
cord-348010-m3a3utvz	735	8	4.5	4.5	CD
cord-348010-m3a3utvz	735	9	)	)	-RRB-
cord-348010-m3a3utvz	735	10	,	,	,
cord-348010-m3a3utvz	735	11	the	the	DT
cord-348010-m3a3utvz	735	12	behaviour	behaviour	NN
cord-348010-m3a3utvz	735	13	of	of	IN
cord-348010-m3a3utvz	735	14	the	the	DT
cord-348010-m3a3utvz	735	15	solution	solution	NN
cord-348010-m3a3utvz	735	16	of	of	IN
cord-348010-m3a3utvz	735	17	the	the	DT
cord-348010-m3a3utvz	735	18	non	non	JJ
cord-348010-m3a3utvz	735	19	-	-	JJ
cord-348010-m3a3utvz	735	20	dimensionalized	dimensionalized	JJ
cord-348010-m3a3utvz	735	21	problem	problem	NN
cord-348010-m3a3utvz	735	22	does	do	VBZ
cord-348010-m3a3utvz	735	23	not	not	RB
cord-348010-m3a3utvz	735	24	depend	depend	VB
cord-348010-m3a3utvz	735	25	on	on	IN
cord-348010-m3a3utvz	735	26	the	the	DT
cord-348010-m3a3utvz	735	27	absolute	absolute	JJ
cord-348010-m3a3utvz	735	28	quantities	quantity	NNS
cord-348010-m3a3utvz	735	29	of	of	IN
cord-348010-m3a3utvz	735	30	the	the	DT
cord-348010-m3a3utvz	735	31	parameters	parameter	NNS
cord-348010-m3a3utvz	735	32	,	,	,
cord-348010-m3a3utvz	735	33	but	but	CC
cord-348010-m3a3utvz	735	34	only	only	RB
cord-348010-m3a3utvz	735	35	on	on	IN
cord-348010-m3a3utvz	735	36	their	-PRON-	PRP$
cord-348010-m3a3utvz	735	37	ratios	ratio	NNS
cord-348010-m3a3utvz	735	38	.	.	.
cord-348010-m3a3utvz	736	1	This	this	DT
cord-348010-m3a3utvz	736	2	general	general	JJ
cord-348010-m3a3utvz	736	3	finding	finding	NN
cord-348010-m3a3utvz	736	4	plays	play	VBZ
cord-348010-m3a3utvz	736	5	an	an	DT
cord-348010-m3a3utvz	736	6	important	important	JJ
cord-348010-m3a3utvz	736	7	role	role	NN
cord-348010-m3a3utvz	736	8	in	in	IN
cord-348010-m3a3utvz	736	9	the	the	DT
cord-348010-m3a3utvz	736	10	model	model	NN
cord-348010-m3a3utvz	736	11	theory	theory	NN
cord-348010-m3a3utvz	736	12	,	,	,
cord-348010-m3a3utvz	736	13	in	in	IN
cord-348010-m3a3utvz	736	14	particular	particular	JJ
cord-348010-m3a3utvz	736	15	in	in	IN
cord-348010-m3a3utvz	736	16	hydro	hydro	NN
cord-348010-m3a3utvz	736	17	-	-	HYPH
cord-348010-m3a3utvz	736	18	and	and	CC
cord-348010-m3a3utvz	736	19	aerodynamics	aerodynamic	NNS
cord-348010-m3a3utvz	736	20	as	as	RB
cord-348010-m3a3utvz	736	21	well	well	RB
cord-348010-m3a3utvz	736	22	as	as	IN
cord-348010-m3a3utvz	736	23	in	in	IN
cord-348010-m3a3utvz	736	24	heat	heat	NN
cord-348010-m3a3utvz	736	25	conduction	conduction	NN
cord-348010-m3a3utvz	736	26	.	.	.
cord-348010-m3a3utvz	737	1	We	-PRON-	PRP
cord-348010-m3a3utvz	737	2	refer	refer	VBP
cord-348010-m3a3utvz	737	3	to	to	IN
cord-348010-m3a3utvz	737	4	[	[	-LRB-
cord-348010-m3a3utvz	737	5	39	39	CD
cord-348010-m3a3utvz	737	6	,	,	,
cord-348010-m3a3utvz	737	7	40	40	CD
cord-348010-m3a3utvz	737	8	]	]	-RRB-
cord-348010-m3a3utvz	737	9	,	,	,
cord-348010-m3a3utvz	737	10	e.g.	e.g.	RB
cord-348010-m3a3utvz	737	11	(	(	-LRB-
cord-348010-m3a3utvz	737	12	iii	iii	NN
cord-348010-m3a3utvz	737	13	)	)	-RRB-
cord-348010-m3a3utvz	738	1	A	a	DT
cord-348010-m3a3utvz	738	2	great	great	JJ
cord-348010-m3a3utvz	738	3	advantage	advantage	NN
cord-348010-m3a3utvz	738	4	of	of	IN
cord-348010-m3a3utvz	738	5	the	the	DT
cord-348010-m3a3utvz	738	6	dimension	dimension	NN
cord-348010-m3a3utvz	738	7	analyse	analyse	NN
cord-348010-m3a3utvz	738	8	is	be	VBZ
cord-348010-m3a3utvz	738	9	,	,	,
cord-348010-m3a3utvz	738	10	that	that	IN
cord-348010-m3a3utvz	738	11	characteristics	characteristic	NNS
cord-348010-m3a3utvz	738	12	of	of	IN
cord-348010-m3a3utvz	738	13	the	the	DT
cord-348010-m3a3utvz	738	14	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	738	15	functions	function	NNS
cord-348010-m3a3utvz	738	16	,	,	,
cord-348010-m3a3utvz	738	17	,	,	,
cord-348010-m3a3utvz	738	18	,	,	,
cord-348010-m3a3utvz	738	19	1	1	CD
cord-348010-m3a3utvz	738	20	,	,	,
cord-348010-m3a3utvz	738	21	21	21	CD
cord-348010-m3a3utvz	738	22	,	,	,
cord-348010-m3a3utvz	738	23	22	22	CD
cord-348010-m3a3utvz	738	24	,	,	,
cord-348010-m3a3utvz	738	25	,	,	,
cord-348010-m3a3utvz	738	26	like	like	IN
cord-348010-m3a3utvz	738	27	possible	possible	JJ
cord-348010-m3a3utvz	738	28	maxima	maxima	NN
cord-348010-m3a3utvz	738	29	or	or	CC
cord-348010-m3a3utvz	738	30	inflection	inflection	NN
cord-348010-m3a3utvz	738	31	points	point	NNS
cord-348010-m3a3utvz	738	32	of	of	IN
cord-348010-m3a3utvz	738	33	the	the	DT
cord-348010-m3a3utvz	738	34	curves	curve	NNS
cord-348010-m3a3utvz	738	35	depend	depend	VBP
cord-348010-m3a3utvz	738	36	only	only	RB
cord-348010-m3a3utvz	738	37	on	on	IN
cord-348010-m3a3utvz	738	38	the	the	DT
cord-348010-m3a3utvz	738	39	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	738	40	parameters	parameter	NNS
cord-348010-m3a3utvz	738	41	and	and	CC
cord-348010-m3a3utvz	738	42	(	(	-LRB-
cord-348010-m3a3utvz	738	43	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	738	44	)	)	-RRB-
cord-348010-m3a3utvz	738	45	initial	initial	JJ
cord-348010-m3a3utvz	738	46	values	value	NNS
cord-348010-m3a3utvz	738	47	.	.	.
cord-348010-m3a3utvz	739	1	Based	base	VBN
cord-348010-m3a3utvz	739	2	on	on	IN
cord-348010-m3a3utvz	739	3	practical	practical	JJ
cord-348010-m3a3utvz	739	4	experience	experience	NN
cord-348010-m3a3utvz	739	5	,	,	,
cord-348010-m3a3utvz	739	6	on	on	IN
cord-348010-m3a3utvz	739	7	theoretical	theoretical	JJ
cord-348010-m3a3utvz	739	8	considerations	consideration	NNS
cord-348010-m3a3utvz	739	9	as	as	RB
cord-348010-m3a3utvz	739	10	well	well	RB
cord-348010-m3a3utvz	739	11	as	as	IN
cord-348010-m3a3utvz	739	12	on	on	IN
cord-348010-m3a3utvz	739	13	real	real	JJ
cord-348010-m3a3utvz	739	14	and	and	CC
cord-348010-m3a3utvz	739	15	numerical	numerical	JJ
cord-348010-m3a3utvz	739	16	experiments	experiment	NNS
cord-348010-m3a3utvz	739	17	,	,	,
cord-348010-m3a3utvz	739	18	the	the	DT
cord-348010-m3a3utvz	739	19	real	real	JJ
cord-348010-m3a3utvz	739	20	influence	influence	NN
cord-348010-m3a3utvz	739	21	of	of	IN
cord-348010-m3a3utvz	739	22	the	the	DT
cord-348010-m3a3utvz	739	23	characteristic	characteristic	JJ
cord-348010-m3a3utvz	739	24	numbers	number	NNS
cord-348010-m3a3utvz	739	25	(	(	-LRB-
cord-348010-m3a3utvz	739	26	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	739	27	parameters	parameter	NNS
cord-348010-m3a3utvz	739	28	)	)	-RRB-
cord-348010-m3a3utvz	739	29	can	can	MD
cord-348010-m3a3utvz	739	30	be	be	VB
cord-348010-m3a3utvz	739	31	estimated	estimate	VBN
cord-348010-m3a3utvz	739	32	.	.	.
cord-348010-m3a3utvz	740	1	On	on	IN
cord-348010-m3a3utvz	740	2	solution	solution	NN
cord-348010-m3a3utvz	740	3	behaviour	behaviour	NN
cord-348010-m3a3utvz	740	4	of	of	IN
cord-348010-m3a3utvz	740	5	the	the	DT
cord-348010-m3a3utvz	740	6	initial	initial	JJ
cord-348010-m3a3utvz	740	7	-	-	HYPH
cord-348010-m3a3utvz	740	8	value	value	NN
cord-348010-m3a3utvz	740	9	problem	problem	NN
cord-348010-m3a3utvz	740	10	0	0	CD
cord-348010-m3a3utvz	740	11	≤	≤	NN
cord-348010-m3a3utvz	740	12	220	220	CD
cord-348010-m3a3utvz	740	13	exp(−ˆ(̃2	exp(−ˆ(̃2	NNP
cord-348010-m3a3utvz	740	14	2	2	CD
cord-348010-m3a3utvz	740	15	+	+	SYM
cord-348010-m3a3utvz	740	16	̃ˆ	̃ˆ	NNP
cord-348010-m3a3utvz	740	17	)	)	-RRB-
cord-348010-m3a3utvz	740	18	)	)	-RRB-
cord-348010-m3a3utvz	740	19	≤	≤	NNP
cord-348010-m3a3utvz	740	20	22	22	CD
cord-348010-m3a3utvz	740	21	(	(	-LRB-
cord-348010-m3a3utvz	740	22	)	)	-RRB-
cord-348010-m3a3utvz	740	23	≤	≤	NNP
cord-348010-m3a3utvz	740	24	max	max	NNP
cord-348010-m3a3utvz	740	25	{	{	-LRB-
cord-348010-m3a3utvz	740	26	1	1	CD
cord-348010-m3a3utvz	740	27	,	,	,
cord-348010-m3a3utvz	740	28	220	220	CD
cord-348010-m3a3utvz	740	29	+	+	CC
cord-348010-m3a3utvz	741	1	ˆ̃1	ˆ̃1	NNP
cord-348010-m3a3utvz	742	1	exp(ˆ(̃2	exp(ˆ(̃2	NNP
cord-348010-m3a3utvz	742	2	2	2	CD
cord-348010-m3a3utvz	742	3	+	+	SYM
cord-348010-m3a3utvz	742	4	̃ˆ	̃ˆ	NNP
cord-348010-m3a3utvz	742	5	)	)	-RRB-
cord-348010-m3a3utvz	742	6	)	)	-RRB-
cord-348010-m3a3utvz	742	7	}	}	-RRB-
cord-348010-m3a3utvz	742	8	≤	≤	NNP
cord-348010-m3a3utvz	742	9	1	1	CD
cord-348010-m3a3utvz	742	10	,	,	,
cord-348010-m3a3utvz	742	11	(	(	-LRB-
cord-348010-m3a3utvz	742	12	4.36	4.36	CD
cord-348010-m3a3utvz	742	13	)	)	-RRB-
cord-348010-m3a3utvz	743	1	The	the	DT
cord-348010-m3a3utvz	743	2	function	function	NN
cord-348010-m3a3utvz	743	3	is	be	VBZ
cord-348010-m3a3utvz	743	4	monotonously	monotonously	RB
cord-348010-m3a3utvz	743	5	increasing	increase	VBG
cord-348010-m3a3utvz	743	6	.	.	.
cord-348010-m3a3utvz	744	1	Proof	proof	NN
cord-348010-m3a3utvz	744	2	.	.	.
cord-348010-m3a3utvz	745	1	The	the	DT
cord-348010-m3a3utvz	745	2	proof	proof	NN
cord-348010-m3a3utvz	745	3	consists	consist	VBZ
cord-348010-m3a3utvz	745	4	of	of	IN
cord-348010-m3a3utvz	745	5	several	several	JJ
cord-348010-m3a3utvz	745	6	steps	step	NNS
cord-348010-m3a3utvz	745	7	.	.	.
cord-348010-m3a3utvz	746	1	At	at	IN
cord-348010-m3a3utvz	746	2	first	first	RB
cord-348010-m3a3utvz	746	3	,	,	,
cord-348010-m3a3utvz	746	4	the	the	DT
cord-348010-m3a3utvz	746	5	existence	existence	NN
cord-348010-m3a3utvz	746	6	of	of	IN
cord-348010-m3a3utvz	746	7	a	a	DT
cord-348010-m3a3utvz	746	8	unique	unique	JJ
cord-348010-m3a3utvz	746	9	local	local	JJ
cord-348010-m3a3utvz	746	10	solution	solution	NN
cord-348010-m3a3utvz	746	11	is	be	VBZ
cord-348010-m3a3utvz	746	12	proven	prove	VBN
cord-348010-m3a3utvz	746	13	via	via	IN
cord-348010-m3a3utvz	746	14	a	a	DT
cord-348010-m3a3utvz	746	15	special	special	JJ
cord-348010-m3a3utvz	746	16	auxiliary	auxiliary	JJ
cord-348010-m3a3utvz	746	17	problem	problem	NN
cord-348010-m3a3utvz	746	18	.	.	.
cord-348010-m3a3utvz	747	1	As	as	IN
cord-348010-m3a3utvz	747	2	a	a	DT
cord-348010-m3a3utvz	747	3	result	result	NN
cord-348010-m3a3utvz	747	4	the	the	DT
cord-348010-m3a3utvz	747	5	original	original	JJ
cord-348010-m3a3utvz	747	6	problem	problem	NN
cord-348010-m3a3utvz	747	7	has	have	VBZ
cord-348010-m3a3utvz	747	8	exactly	exactly	RB
cord-348010-m3a3utvz	747	9	one	one	CD
cord-348010-m3a3utvz	747	10	local	local	JJ
cord-348010-m3a3utvz	747	11	solution	solution	NN
cord-348010-m3a3utvz	747	12	which	which	WDT
cord-348010-m3a3utvz	747	13	components	component	NNS
cord-348010-m3a3utvz	747	14	are	be	VBP
cord-348010-m3a3utvz	747	15	non	non	JJ
cord-348010-m3a3utvz	747	16	-	-	JJ
cord-348010-m3a3utvz	747	17	negative	negative	JJ
cord-348010-m3a3utvz	747	18	on	on	IN
cord-348010-m3a3utvz	747	19	the	the	DT
cord-348010-m3a3utvz	747	20	existence	existence	NN
cord-348010-m3a3utvz	747	21	interval	interval	NN
cord-348010-m3a3utvz	747	22	and	and	CC
cord-348010-m3a3utvz	747	23	their	-PRON-	PRP$
cord-348010-m3a3utvz	747	24	sum	sum	NN
cord-348010-m3a3utvz	747	25	is	be	VBZ
cord-348010-m3a3utvz	747	26	one	one	CD
cord-348010-m3a3utvz	747	27	.	.	.
cord-348010-m3a3utvz	748	1	Additionally	additionally	RB
cord-348010-m3a3utvz	748	2	,	,	,
cord-348010-m3a3utvz	748	3	the	the	DT
cord-348010-m3a3utvz	748	4	inequalities	inequality	NNS
cord-348010-m3a3utvz	748	5	in	in	IN
cord-348010-m3a3utvz	748	6	(	(	-LRB-
cord-348010-m3a3utvz	748	7	4.32)-(4.38	4.32)-(4.38	CD
cord-348010-m3a3utvz	748	8	)	)	-RRB-
cord-348010-m3a3utvz	748	9	are	be	VBP
cord-348010-m3a3utvz	748	10	valid	valid	JJ
cord-348010-m3a3utvz	748	11	.	.	.
cord-348010-m3a3utvz	749	1	Finally	finally	RB
cord-348010-m3a3utvz	749	2	,	,	,
cord-348010-m3a3utvz	749	3	a	a	DT
cord-348010-m3a3utvz	749	4	suitable	suitable	JJ
cord-348010-m3a3utvz	749	5	a	a	DT
cord-348010-m3a3utvz	749	6	-	-	HYPH
cord-348010-m3a3utvz	749	7	priori	priori	JJ
cord-348010-m3a3utvz	749	8	estimate	estimate	NN
cord-348010-m3a3utvz	749	9	on	on	IN
cord-348010-m3a3utvz	749	10	an	an	DT
cord-348010-m3a3utvz	749	11	arbitrarily	arbitrarily	RB
cord-348010-m3a3utvz	749	12	chosen	choose	VBN
cord-348010-m3a3utvz	749	13	interval	interval	NN
cord-348010-m3a3utvz	749	14	[	[	-LRB-
cord-348010-m3a3utvz	749	15	0,ˆ	0,ˆ	XX
cord-348010-m3a3utvz	749	16	]	]	-RRB-
cord-348010-m3a3utvz	749	17	allows	allow	VBZ
cord-348010-m3a3utvz	749	18	the	the	DT
cord-348010-m3a3utvz	749	19	continuation	continuation	NN
cord-348010-m3a3utvz	749	20	to	to	IN
cord-348010-m3a3utvz	749	21	a	a	DT
cord-348010-m3a3utvz	749	22	unique	unique	JJ
cord-348010-m3a3utvz	749	23	global	global	JJ
cord-348010-m3a3utvz	749	24	solution	solution	NN
cord-348010-m3a3utvz	749	25	.	.	.
cord-348010-m3a3utvz	750	1	(	(	-LRB-
cord-348010-m3a3utvz	750	2	i	i	NN
cord-348010-m3a3utvz	750	3	)	)	-RRB-
cord-348010-m3a3utvz	751	1	(	(	-LRB-
cord-348010-m3a3utvz	751	2	Construction	construction	NN
cord-348010-m3a3utvz	751	3	of	of	IN
cord-348010-m3a3utvz	751	4	an	an	DT
cord-348010-m3a3utvz	751	5	auxiliary	auxiliary	JJ
cord-348010-m3a3utvz	751	6	problem	problem	NN
cord-348010-m3a3utvz	751	7	)	)	-RRB-
cord-348010-m3a3utvz	752	1	To	to	TO
cord-348010-m3a3utvz	752	2	prove	prove	VB
cord-348010-m3a3utvz	752	3	the	the	DT
cord-348010-m3a3utvz	752	4	non	non	JJ
cord-348010-m3a3utvz	752	5	-	-	JJ
cord-348010-m3a3utvz	752	6	negativeness	negativeness	NN
cord-348010-m3a3utvz	752	7	of	of	IN
cord-348010-m3a3utvz	752	8	the	the	DT
cord-348010-m3a3utvz	752	9	components	component	NNS
cord-348010-m3a3utvz	752	10	to	to	IN
cord-348010-m3a3utvz	752	11	a	a	DT
cord-348010-m3a3utvz	752	12	local	local	JJ
cord-348010-m3a3utvz	752	13	solutions	solution	NNS
cord-348010-m3a3utvz	752	14	and	and	CC
cord-348010-m3a3utvz	752	15	to	to	TO
cord-348010-m3a3utvz	752	16	get	get	VB
cord-348010-m3a3utvz	752	17	a	a	DT
cord-348010-m3a3utvz	752	18	good	good	JJ
cord-348010-m3a3utvz	752	19	basis	basis	NN
cord-348010-m3a3utvz	752	20	for	for	IN
cord-348010-m3a3utvz	752	21	a	a	DT
cord-348010-m3a3utvz	752	22	-	-	HYPH
cord-348010-m3a3utvz	752	23	priori	priori	FW
cord-348010-m3a3utvz	752	24	estimates	estimate	NNS
cord-348010-m3a3utvz	752	25	,	,	,
cord-348010-m3a3utvz	752	26	we	-PRON-	PRP
cord-348010-m3a3utvz	752	27	consider	consider	VBP
cord-348010-m3a3utvz	752	28	a	a	DT
cord-348010-m3a3utvz	752	29	special	special	JJ
cord-348010-m3a3utvz	752	30	auxiliary	auxiliary	JJ
cord-348010-m3a3utvz	752	31	problem	problem	NN
cord-348010-m3a3utvz	752	32	.	.	.
cord-348010-m3a3utvz	753	1	For	for	IN
cord-348010-m3a3utvz	753	2	this	this	DT
cord-348010-m3a3utvz	753	3	purpose	purpose	NN
cord-348010-m3a3utvz	753	4	we	-PRON-	PRP
cord-348010-m3a3utvz	753	5	define	define	VBP
cord-348010-m3a3utvz	753	6	two	two	CD
cord-348010-m3a3utvz	753	7	functions	function	NNS
cord-348010-m3a3utvz	753	8	:	:	:
cord-348010-m3a3utvz	753	9	We	-PRON-	PRP
cord-348010-m3a3utvz	753	10	change	change	VBP
cord-348010-m3a3utvz	753	11	the	the	DT
cord-348010-m3a3utvz	753	12	equations	equation	NNS
cord-348010-m3a3utvz	753	13	(	(	-LRB-
cord-348010-m3a3utvz	753	14	4.6)-(4.12	4.6)-(4.12	CD
cord-348010-m3a3utvz	753	15	)	)	-RRB-
cord-348010-m3a3utvz	753	16	in	in	IN
cord-348010-m3a3utvz	753	17	the	the	DT
cord-348010-m3a3utvz	753	18	following	following	JJ
cord-348010-m3a3utvz	753	19	way	way	NN
cord-348010-m3a3utvz	753	20	.	.	.
cord-348010-m3a3utvz	754	1	is	be	VBZ
cord-348010-m3a3utvz	754	2	also	also	RB
cord-348010-m3a3utvz	754	3	a	a	DT
cord-348010-m3a3utvz	754	4	solution	solution	NN
cord-348010-m3a3utvz	754	5	to	to	IN
cord-348010-m3a3utvz	754	6	the	the	DT
cord-348010-m3a3utvz	754	7	following	follow	VBG
cord-348010-m3a3utvz	754	8	probleṁ	probleṁ	NNP
cord-348010-m3a3utvz	754	9	Now	now	RB
cord-348010-m3a3utvz	754	10	,	,	,
cord-348010-m3a3utvz	754	11	we	-PRON-	PRP
cord-348010-m3a3utvz	754	12	want	want	VBP
cord-348010-m3a3utvz	754	13	to	to	TO
cord-348010-m3a3utvz	754	14	derive	derive	VB
cord-348010-m3a3utvz	754	15	an	an	DT
cord-348010-m3a3utvz	754	16	estimation	estimation	NN
cord-348010-m3a3utvz	754	17	for	for	IN
cord-348010-m3a3utvz	754	18	the	the	DT
cord-348010-m3a3utvz	754	19	function	function	NN
cord-348010-m3a3utvz	754	20	,	,	,
cord-348010-m3a3utvz	754	21	taking	take	VBG
cord-348010-m3a3utvz	754	22	into	into	IN
cord-348010-m3a3utvz	754	23	account	account	NN
cord-348010-m3a3utvz	754	24	that	that	IN
cord-348010-m3a3utvz	754	25	the	the	DT
cord-348010-m3a3utvz	754	26	local	local	JJ
cord-348010-m3a3utvz	754	27	solution	solution	NN
cord-348010-m3a3utvz	754	28	to	to	IN
cord-348010-m3a3utvz	754	29	the	the	DT
cord-348010-m3a3utvz	754	30	auxiliary	auxiliary	JJ
cord-348010-m3a3utvz	754	31	problem	problem	NN
cord-348010-m3a3utvz	754	32	is	be	VBZ
cord-348010-m3a3utvz	754	33	at	at	IN
cord-348010-m3a3utvz	754	34	once	once	RB
cord-348010-m3a3utvz	754	35	a	a	DT
cord-348010-m3a3utvz	754	36	local	local	JJ
cord-348010-m3a3utvz	754	37	solution	solution	NN
cord-348010-m3a3utvz	754	38	to	to	IN
cord-348010-m3a3utvz	754	39	the	the	DT
cord-348010-m3a3utvz	754	40	problem	problem	NN
cord-348010-m3a3utvz	754	41	under	under	IN
cord-348010-m3a3utvz	754	42	consideration	consideration	NN
cord-348010-m3a3utvz	754	43	fulfilling	fulfil	VBG
cord-348010-m3a3utvz	754	44	(	(	-LRB-
cord-348010-m3a3utvz	754	45	4.47	4.47	CD
cord-348010-m3a3utvz	754	46	)	)	-RRB-
cord-348010-m3a3utvz	754	47	.	.	.
cord-348010-m3a3utvz	755	1	From	from	IN
cord-348010-m3a3utvz	755	2	(	(	-LRB-
cord-348010-m3a3utvz	755	3	4.48	4.48	CD
cord-348010-m3a3utvz	755	4	)	)	-RRB-
cord-348010-m3a3utvz	755	5	for	for	IN
cord-348010-m3a3utvz	755	6	one	one	CD
cord-348010-m3a3utvz	755	7	obtains	obtain	VBZ
cord-348010-m3a3utvz	755	8	the	the	DT
cord-348010-m3a3utvz	755	9	representation	representation	NN
cord-348010-m3a3utvz	755	10	formula	formula	NN
cord-348010-m3a3utvz	755	11	for	for	IN
cord-348010-m3a3utvz	755	12	a	a	DT
cord-348010-m3a3utvz	755	13	solution	solution	NN
cord-348010-m3a3utvz	755	14	to	to	IN
cord-348010-m3a3utvz	755	15	a	a	DT
cord-348010-m3a3utvz	755	16	linear	linear	JJ
cord-348010-m3a3utvz	755	17	differential	differential	JJ
cord-348010-m3a3utvz	755	18	equation	equation	NN
cord-348010-m3a3utvz	755	19	of	of	IN
cord-348010-m3a3utvz	755	20	first	first	JJ
cord-348010-m3a3utvz	755	21	order	order	NN
cord-348010-m3a3utvz	755	22	:	:	:
cord-348010-m3a3utvz	755	23	Taking	take	VBG
cord-348010-m3a3utvz	755	24	(	(	-LRB-
cord-348010-m3a3utvz	755	25	4.47	4.47	CD
cord-348010-m3a3utvz	755	26	)	)	-RRB-
cord-348010-m3a3utvz	755	27	,	,	,
cord-348010-m3a3utvz	755	28	(	(	-LRB-
cord-348010-m3a3utvz	755	29	3.2	3.2	CD
cord-348010-m3a3utvz	755	30	)	)	-RRB-
cord-348010-m3a3utvz	755	31	,	,	,
cord-348010-m3a3utvz	755	32	≤	≤	NNP
cord-348010-m3a3utvz	755	33	1	1	CD
cord-348010-m3a3utvz	755	34	,	,	,
cord-348010-m3a3utvz	755	35	(	(	-LRB-
cord-348010-m3a3utvz	755	36	4.13	4.13	CD
cord-348010-m3a3utvz	755	37	)	)	-RRB-
cord-348010-m3a3utvz	755	38	and	and	CC
cord-348010-m3a3utvz	755	39	(	(	-LRB-
cord-348010-m3a3utvz	755	40	4.15	4.15	CD
cord-348010-m3a3utvz	755	41	)	)	-RRB-
cord-348010-m3a3utvz	755	42	into	into	IN
cord-348010-m3a3utvz	755	43	account	account	NN
cord-348010-m3a3utvz	755	44	,	,	,
cord-348010-m3a3utvz	755	45	the	the	DT
cord-348010-m3a3utvz	755	46	assertions	assertion	NNS
cord-348010-m3a3utvz	755	47	in	in	IN
cord-348010-m3a3utvz	755	48	(	(	-LRB-
cord-348010-m3a3utvz	755	49	4.32	4.32	CD
cord-348010-m3a3utvz	755	50	)	)	-RRB-
cord-348010-m3a3utvz	755	51	follow	follow	VB
cord-348010-m3a3utvz	755	52	with	with	IN
cord-348010-m3a3utvz	755	53	instead	instead	RB
cord-348010-m3a3utvz	755	54	ofˆ.	ofˆ.	NNP
cord-348010-m3a3utvz	756	1	In	in	IN
cord-348010-m3a3utvz	756	2	particular	particular	JJ
cord-348010-m3a3utvz	756	3	,	,	,
cord-348010-m3a3utvz	756	4	there	there	EX
cord-348010-m3a3utvz	756	5	holds	hold	VBZ
cord-348010-m3a3utvz	756	6	This	this	DT
cord-348010-m3a3utvz	756	7	estimation	estimation	NN
cord-348010-m3a3utvz	756	8	is	be	VBZ
cord-348010-m3a3utvz	756	9	of	of	IN
cord-348010-m3a3utvz	756	10	special	special	JJ
cord-348010-m3a3utvz	756	11	importance	importance	NN
cord-348010-m3a3utvz	756	12	for	for	IN
cord-348010-m3a3utvz	756	13	the	the	DT
cord-348010-m3a3utvz	756	14	continuation	continuation	NN
cord-348010-m3a3utvz	756	15	of	of	IN
cord-348010-m3a3utvz	756	16	the	the	DT
cord-348010-m3a3utvz	756	17	local	local	JJ
cord-348010-m3a3utvz	756	18	solution	solution	NN
cord-348010-m3a3utvz	756	19	.	.	.
cord-348010-m3a3utvz	757	1	The	the	DT
cord-348010-m3a3utvz	757	2	quantitỹ1	quantitỹ1	NNP
cord-348010-m3a3utvz	757	3	is	be	VBZ
cord-348010-m3a3utvz	757	4	defined	define	VBN
cord-348010-m3a3utvz	757	5	analogously	analogously	RB
cord-348010-m3a3utvz	757	6	tõ1	tõ1	JJ
cord-348010-m3a3utvz	757	7	via	via	IN
cord-348010-m3a3utvz	757	8	(	(	-LRB-
cord-348010-m3a3utvz	757	9	4.31	4.31	CD
cord-348010-m3a3utvz	757	10	)	)	-RRB-
cord-348010-m3a3utvz	757	11	.	.	.
cord-348010-m3a3utvz	758	1	The	the	DT
cord-348010-m3a3utvz	758	2	remaining	remain	VBG
cord-348010-m3a3utvz	758	3	assertions	assertion	NNS
cord-348010-m3a3utvz	758	4	in	in	IN
cord-348010-m3a3utvz	758	5	(	(	-LRB-
cord-348010-m3a3utvz	758	6	4.32)-(4.38	4.32)-(4.38	CD
cord-348010-m3a3utvz	758	7	)	)	-RRB-
cord-348010-m3a3utvz	758	8	follow	follow	VB
cord-348010-m3a3utvz	758	9	in	in	IN
cord-348010-m3a3utvz	758	10	the	the	DT
cord-348010-m3a3utvz	758	11	same	same	JJ
cord-348010-m3a3utvz	758	12	manner	manner	NN
cord-348010-m3a3utvz	758	13	via	via	IN
cord-348010-m3a3utvz	758	14	corresponding	correspond	VBG
cord-348010-m3a3utvz	758	15	representation	representation	NN
cord-348010-m3a3utvz	758	16	formulas	formula	NNS
cord-348010-m3a3utvz	758	17	,	,	,
cord-348010-m3a3utvz	758	18	for	for	IN
cord-348010-m3a3utvz	758	19	the	the	DT
cord-348010-m3a3utvz	758	20	present	present	NN
cord-348010-m3a3utvz	758	21	with	with	IN
cord-348010-m3a3utvz	758	22	instead	instead	RB
cord-348010-m3a3utvz	758	23	ofˆ.	ofˆ.	NNP
cord-348010-m3a3utvz	759	1	(	(	-LRB-
cord-348010-m3a3utvz	759	2	iv	iv	LS
cord-348010-m3a3utvz	759	3	)	)	-RRB-
cord-348010-m3a3utvz	760	1	(	(	-LRB-
cord-348010-m3a3utvz	760	2	Continuation	continuation	NN
cord-348010-m3a3utvz	760	3	of	of	IN
cord-348010-m3a3utvz	760	4	the	the	DT
cord-348010-m3a3utvz	760	5	local	local	JJ
cord-348010-m3a3utvz	760	6	solution	solution	NN
cord-348010-m3a3utvz	760	7	to	to	IN
cord-348010-m3a3utvz	760	8	a	a	DT
cord-348010-m3a3utvz	760	9	global	global	JJ
cord-348010-m3a3utvz	760	10	one	one	CD
cord-348010-m3a3utvz	760	11	)	)	-RRB-
cord-348010-m3a3utvz	761	1	Letˆ	Letˆ	NNP
cord-348010-m3a3utvz	761	2	>	>	XX
cord-348010-m3a3utvz	761	3	>	>	XX
cord-348010-m3a3utvz	762	1	0	0	NFP
cord-348010-m3a3utvz	762	2	be	be	VB
cord-348010-m3a3utvz	762	3	arbitrarily	arbitrarily	RB
cord-348010-m3a3utvz	762	4	chosen	choose	VBN
cord-348010-m3a3utvz	762	5	and	and	CC
cord-348010-m3a3utvz	762	6	fixed	fix	VBN
cord-348010-m3a3utvz	762	7	.	.	.
cord-348010-m3a3utvz	763	1	Due	due	IN
cord-348010-m3a3utvz	763	2	to	to	IN
cord-348010-m3a3utvz	763	3	(	(	-LRB-
cord-348010-m3a3utvz	763	4	4.31	4.31	CD
cord-348010-m3a3utvz	763	5	)	)	-RRB-
cord-348010-m3a3utvz	763	6	the	the	DT
cord-348010-m3a3utvz	763	7	quantities	quantity	NNS
cord-348010-m3a3utvz	763	8	defined	define	VBN
cord-348010-m3a3utvz	763	9	there	there	EX
cord-348010-m3a3utvz	763	10	are	be	VBP
cord-348010-m3a3utvz	763	11	monotonously	monotonously	RB
cord-348010-m3a3utvz	763	12	increasing	increase	VBG
cord-348010-m3a3utvz	763	13	for	for	IN
cord-348010-m3a3utvz	763	14	increasingˆ.	increasingˆ.	NNS
cord-348010-m3a3utvz	764	1	Hence	hence	RB
cord-348010-m3a3utvz	764	2	,	,	,
cord-348010-m3a3utvz	764	3	there	there	EX
cord-348010-m3a3utvz	764	4	hold	hold	VB
cord-348010-m3a3utvz	764	5	)	)	-RRB-
cord-348010-m3a3utvz	764	6	.	.	.
cord-348010-m3a3utvz	765	1	(	(	-LRB-
cord-348010-m3a3utvz	765	2	4.58	4.58	CD
cord-348010-m3a3utvz	765	3	)	)	-RRB-
cord-348010-m3a3utvz	766	1	We	-PRON-	PRP
cord-348010-m3a3utvz	766	2	define	define	VBP
cord-348010-m3a3utvz	766	3	the	the	DT
cord-348010-m3a3utvz	766	4	numberˆ∶	numberˆ∶	NNP
cord-348010-m3a3utvz	766	5	(	(	-LRB-
cord-348010-m3a3utvz	766	6	4.59	4.59	CD
cord-348010-m3a3utvz	766	7	)	)	-RRB-
cord-348010-m3a3utvz	766	8	The	the	DT
cord-348010-m3a3utvz	766	9	[	[	-LRB-
cord-348010-m3a3utvz	766	10	43	43	CD
cord-348010-m3a3utvz	766	11	]	]	-RRB-
cord-348010-m3a3utvz	766	12	,	,	,
cord-348010-m3a3utvz	766	13	e.g.	e.g.	JJ
cord-348010-m3a3utvz	766	14	(	(	-LRB-
cord-348010-m3a3utvz	766	15	ii	ii	NN
cord-348010-m3a3utvz	766	16	)	)	-RRB-
cord-348010-m3a3utvz	767	1	Since	since	IN
cord-348010-m3a3utvz	767	2	is	be	VBZ
cord-348010-m3a3utvz	767	3	positive	positive	JJ
cord-348010-m3a3utvz	767	4	on	on	IN
cord-348010-m3a3utvz	767	5	each	each	DT
cord-348010-m3a3utvz	767	6	finite	finite	JJ
cord-348010-m3a3utvz	767	7	interval	interval	NN
cord-348010-m3a3utvz	767	8	,	,	,
cord-348010-m3a3utvz	767	9	the	the	DT
cord-348010-m3a3utvz	767	10	remaining	remain	VBG
cord-348010-m3a3utvz	767	11	functions	function	NNS
cord-348010-m3a3utvz	767	12	can	can	MD
cord-348010-m3a3utvz	767	13	not	not	RB
cord-348010-m3a3utvz	767	14	be	be	VB
cord-348010-m3a3utvz	767	15	equal	equal	JJ
cord-348010-m3a3utvz	767	16	to	to	IN
cord-348010-m3a3utvz	767	17	one	one	CD
cord-348010-m3a3utvz	767	18	on	on	IN
cord-348010-m3a3utvz	767	19	any	any	DT
cord-348010-m3a3utvz	767	20	finite	finite	JJ
cord-348010-m3a3utvz	767	21	interval	interval	NN
cord-348010-m3a3utvz	767	22	.	.	.
cord-348010-m3a3utvz	768	1	(	(	-LRB-
cord-348010-m3a3utvz	768	2	iii	iii	NN
cord-348010-m3a3utvz	768	3	)	)	-RRB-
cord-348010-m3a3utvz	769	1	Positive	positive	JJ
cord-348010-m3a3utvz	769	2	initial	initial	JJ
cord-348010-m3a3utvz	769	3	values	value	NNS
cord-348010-m3a3utvz	769	4	of	of	IN
cord-348010-m3a3utvz	769	5	,	,	,
cord-348010-m3a3utvz	769	6	1	1	CD
cord-348010-m3a3utvz	769	7	,	,	,
cord-348010-m3a3utvz	769	8	21	21	CD
cord-348010-m3a3utvz	769	9	,	,	,
cord-348010-m3a3utvz	769	10	22	22	CD
cord-348010-m3a3utvz	769	11	,	,	,
cord-348010-m3a3utvz	769	12	,	,	,
cord-348010-m3a3utvz	769	13	lead	lead	VBP
cord-348010-m3a3utvz	769	14	to	to	IN
cord-348010-m3a3utvz	769	15	positive	positive	JJ
cord-348010-m3a3utvz	769	16	values	value	NNS
cord-348010-m3a3utvz	769	17	on	on	IN
cord-348010-m3a3utvz	769	18	finite	finite	JJ
cord-348010-m3a3utvz	769	19	intervals	interval	NNS
cord-348010-m3a3utvz	769	20	.	.	.
cord-348010-m3a3utvz	770	1	(	(	-LRB-
cord-348010-m3a3utvz	770	2	iv	iv	LS
cord-348010-m3a3utvz	770	3	)	)	-RRB-
cord-348010-m3a3utvz	771	1	The	the	DT
cord-348010-m3a3utvz	771	2	essential	essential	JJ
cord-348010-m3a3utvz	771	3	assertions	assertion	NNS
cord-348010-m3a3utvz	771	4	of	of	IN
cord-348010-m3a3utvz	771	5	Theorem	theorem	NN
cord-348010-m3a3utvz	771	6	4.3	4.3	CD
cord-348010-m3a3utvz	771	7	can	can	MD
cord-348010-m3a3utvz	771	8	also	also	RB
cord-348010-m3a3utvz	771	9	be	be	VB
cord-348010-m3a3utvz	771	10	proven	prove	VBN
cord-348010-m3a3utvz	771	11	for	for	IN
cord-348010-m3a3utvz	771	12	initial	initial	JJ
cord-348010-m3a3utvz	771	13	-	-	HYPH
cord-348010-m3a3utvz	771	14	value	value	NN
cord-348010-m3a3utvz	771	15	problems	problem	NNS
cord-348010-m3a3utvz	771	16	arising	arise	VBG
cord-348010-m3a3utvz	771	17	from	from	IN
cord-348010-m3a3utvz	771	18	other	other	JJ
cord-348010-m3a3utvz	771	19	models	model	NNS
cord-348010-m3a3utvz	771	20	,	,	,
cord-348010-m3a3utvz	771	21	for	for	IN
cord-348010-m3a3utvz	771	22	instance	instance	NN
cord-348010-m3a3utvz	771	23	from	from	IN
cord-348010-m3a3utvz	771	24	a	a	DT
cord-348010-m3a3utvz	771	25	SIRD	SIRD	NNP
cord-348010-m3a3utvz	771	26	model	model	NN
cord-348010-m3a3utvz	771	27	[	[	-LRB-
cord-348010-m3a3utvz	771	28	44	44	CD
cord-348010-m3a3utvz	771	29	]	]	-RRB-
cord-348010-m3a3utvz	771	30	.	.	.
cord-348010-m3a3utvz	772	1	In	in	IN
cord-348010-m3a3utvz	772	2	[	[	-LRB-
cord-348010-m3a3utvz	772	3	29	29	CD
cord-348010-m3a3utvz	772	4	]	]	-RRB-
cord-348010-m3a3utvz	772	5	,	,	,
cord-348010-m3a3utvz	772	6	the	the	DT
cord-348010-m3a3utvz	772	7	above	above	JJ
cord-348010-m3a3utvz	772	8	problem	problem	NN
cord-348010-m3a3utvz	772	9	with	with	IN
cord-348010-m3a3utvz	772	10	variable	variable	JJ
cord-348010-m3a3utvz	772	11	coefficients	coefficient	NNS
cord-348010-m3a3utvz	772	12	has	have	VBZ
cord-348010-m3a3utvz	772	13	been	be	VBN
cord-348010-m3a3utvz	772	14	dealt	deal	VBN
cord-348010-m3a3utvz	772	15	with	with	IN
cord-348010-m3a3utvz	772	16	.	.	.
cord-348010-m3a3utvz	773	1	The	the	DT
cord-348010-m3a3utvz	773	2	changes	change	NNS
cord-348010-m3a3utvz	773	3	are	be	VBP
cord-348010-m3a3utvz	773	4	only	only	RB
cord-348010-m3a3utvz	773	5	technical	technical	JJ
cord-348010-m3a3utvz	773	6	.	.	.
cord-348010-m3a3utvz	774	1	Above	above	IN
cord-348010-m3a3utvz	774	2	all	all	DT
cord-348010-m3a3utvz	774	3	one	one	NN
cord-348010-m3a3utvz	774	4	can	can	MD
cord-348010-m3a3utvz	774	5	conjecture	conjecture	VB
cord-348010-m3a3utvz	774	6	,	,	,
cord-348010-m3a3utvz	774	7	that	that	IN
cord-348010-m3a3utvz	774	8	for	for	IN
cord-348010-m3a3utvz	774	9	more	more	JJR
cord-348010-m3a3utvz	774	10	complex	complex	JJ
cord-348010-m3a3utvz	774	11	models	model	NNS
cord-348010-m3a3utvz	774	12	like	like	VBP
cord-348010-m3a3utvz	774	13	in	in	IN
cord-348010-m3a3utvz	774	14	[	[	-LRB-
cord-348010-m3a3utvz	774	15	21	21	CD
cord-348010-m3a3utvz	774	16	]	]	-RRB-
cord-348010-m3a3utvz	775	1	analogous	analogous	JJ
cord-348010-m3a3utvz	775	2	assertions	assertion	NNS
cord-348010-m3a3utvz	775	3	hold	hold	VBP
cord-348010-m3a3utvz	775	4	.	.	.
cord-348010-m3a3utvz	776	1	However	however	RB
cord-348010-m3a3utvz	776	2	,	,	,
cord-348010-m3a3utvz	776	3	the	the	DT
cord-348010-m3a3utvz	776	4	technical	technical	JJ
cord-348010-m3a3utvz	776	5	effort	effort	NN
cord-348010-m3a3utvz	776	6	would	would	MD
cord-348010-m3a3utvz	776	7	be	be	VB
cord-348010-m3a3utvz	776	8	considerably	considerably	RB
cord-348010-m3a3utvz	776	9	larger	large	JJR
cord-348010-m3a3utvz	776	10	.	.	.
cord-348010-m3a3utvz	777	1	We	-PRON-	PRP
cord-348010-m3a3utvz	777	2	end	end	VBP
cord-348010-m3a3utvz	777	3	the	the	DT
cord-348010-m3a3utvz	777	4	present	present	JJ
cord-348010-m3a3utvz	777	5	study	study	NN
cord-348010-m3a3utvz	777	6	with	with	IN
cord-348010-m3a3utvz	777	7	some	some	DT
cord-348010-m3a3utvz	777	8	remarks	remark	NNS
cord-348010-m3a3utvz	777	9	on	on	IN
cord-348010-m3a3utvz	777	10	qualitative	qualitative	JJ
cord-348010-m3a3utvz	777	11	properties	property	NNS
cord-348010-m3a3utvz	777	12	of	of	IN
cord-348010-m3a3utvz	777	13	some	some	DT
cord-348010-m3a3utvz	777	14	models	model	NNS
cord-348010-m3a3utvz	777	15	considered	consider	VBN
cord-348010-m3a3utvz	777	16	above	above	RB
cord-348010-m3a3utvz	777	17	.	.	.
cord-348010-m3a3utvz	778	1	The	the	DT
cord-348010-m3a3utvz	778	2	focus	focus	NN
cord-348010-m3a3utvz	778	3	lies	lie	VBZ
cord-348010-m3a3utvz	778	4	on	on	IN
cord-348010-m3a3utvz	778	5	a	a	DT
cord-348010-m3a3utvz	778	6	connection	connection	NN
cord-348010-m3a3utvz	778	7	with	with	IN
cord-348010-m3a3utvz	778	8	items	item	NNS
cord-348010-m3a3utvz	778	9	of	of	IN
cord-348010-m3a3utvz	778	10	the	the	DT
cord-348010-m3a3utvz	778	11	dimensional	dimensional	JJ
cord-348010-m3a3utvz	778	12	analysis	analysis	NN
cord-348010-m3a3utvz	778	13	.	.	.
cord-348010-m3a3utvz	779	1	An	an	DT
cord-348010-m3a3utvz	779	2	important	important	JJ
cord-348010-m3a3utvz	779	3	question	question	NN
cord-348010-m3a3utvz	779	4	is	be	VBZ
cord-348010-m3a3utvz	779	5	,	,	,
cord-348010-m3a3utvz	779	6	where	where	WRB
cord-348010-m3a3utvz	779	7	the	the	DT
cord-348010-m3a3utvz	779	8	current	current	JJ
cord-348010-m3a3utvz	779	9	contact	contact	NN
cord-348010-m3a3utvz	779	10	and	and	CC
cord-348010-m3a3utvz	779	11	replacement	replacement	NN
cord-348010-m3a3utvz	779	12	number	number	NN
cord-348010-m3a3utvz	779	13	,	,	,
cord-348010-m3a3utvz	779	14	respectively	respectively	RB
cord-348010-m3a3utvz	779	15	,	,	,
cord-348010-m3a3utvz	779	16	occur	occur	VBP
cord-348010-m3a3utvz	779	17	in	in	IN
cord-348010-m3a3utvz	779	18	the	the	DT
cord-348010-m3a3utvz	779	19	non	non	JJ
cord-348010-m3a3utvz	779	20	-	-	JJ
cord-348010-m3a3utvz	779	21	dimensionalized	dimensionalized	JJ
cord-348010-m3a3utvz	779	22	equations	equation	NNS
cord-348010-m3a3utvz	779	23	.	.	.
cord-348010-m3a3utvz	780	1	Clearly	clearly	RB
cord-348010-m3a3utvz	780	2	,	,	,
cord-348010-m3a3utvz	780	3	there	there	EX
cord-348010-m3a3utvz	780	4	are	be	VBP
cord-348010-m3a3utvz	780	5	a	a	DT
cord-348010-m3a3utvz	780	6	lot	lot	NN
cord-348010-m3a3utvz	780	7	of	of	IN
cord-348010-m3a3utvz	780	8	papers	paper	NNS
cord-348010-m3a3utvz	780	9	on	on	IN
cord-348010-m3a3utvz	780	10	qualitative	qualitative	JJ
cord-348010-m3a3utvz	780	11	behaviour	behaviour	NN
cord-348010-m3a3utvz	780	12	including	include	VBG
cord-348010-m3a3utvz	780	13	numerical	numerical	JJ
cord-348010-m3a3utvz	780	14	examples	example	NNS
cord-348010-m3a3utvz	780	15	and	and	CC
cord-348010-m3a3utvz	780	16	discussions	discussion	NNS
cord-348010-m3a3utvz	780	17	of	of	IN
cord-348010-m3a3utvz	780	18	former	former	JJ
cord-348010-m3a3utvz	780	19	real	real	JJ
cord-348010-m3a3utvz	780	20	infection	infection	NN
cord-348010-m3a3utvz	780	21	courses	course	NNS
cord-348010-m3a3utvz	780	22	.	.	.
cord-348010-m3a3utvz	781	1	We	-PRON-	PRP
cord-348010-m3a3utvz	781	2	refer	refer	VBP
cord-348010-m3a3utvz	781	3	to	to	IN
cord-348010-m3a3utvz	781	4	[	[	-LRB-
cord-348010-m3a3utvz	781	5	16	16	CD
cord-348010-m3a3utvz	781	6	,	,	,
cord-348010-m3a3utvz	781	7	20	20	CD
cord-348010-m3a3utvz	781	8	]	]	-RRB-
cord-348010-m3a3utvz	781	9	[	[	-LRB-
cord-348010-m3a3utvz	781	10	27	27	CD
cord-348010-m3a3utvz	781	11	]	]	-RRB-
cord-348010-m3a3utvz	781	12	and	and	CC
cord-348010-m3a3utvz	781	13	to	to	IN
cord-348010-m3a3utvz	781	14	the	the	DT
cord-348010-m3a3utvz	781	15	literature	literature	NN
cord-348010-m3a3utvz	781	16	cited	cite	VBN
cord-348010-m3a3utvz	781	17	therein	therein	RB
cord-348010-m3a3utvz	781	18	.	.	.
cord-348010-m3a3utvz	782	1	This	this	DT
cord-348010-m3a3utvz	782	2	paragraph	paragraph	NN
cord-348010-m3a3utvz	782	3	is	be	VBZ
cord-348010-m3a3utvz	782	4	structured	structure	VBN
cord-348010-m3a3utvz	782	5	as	as	IN
cord-348010-m3a3utvz	782	6	follows	follow	VBZ
cord-348010-m3a3utvz	782	7	.	.	.
cord-348010-m3a3utvz	783	1	At	at	IN
cord-348010-m3a3utvz	783	2	first	first	RB
cord-348010-m3a3utvz	783	3	,	,	,
cord-348010-m3a3utvz	783	4	we	-PRON-	PRP
cord-348010-m3a3utvz	783	5	consider	consider	VBP
cord-348010-m3a3utvz	783	6	SIRSD	SIRSD	NNP
cord-348010-m3a3utvz	783	7	and	and	CC
cord-348010-m3a3utvz	783	8	SIRD	SIRD	NNP
cord-348010-m3a3utvz	783	9	models	model	NNS
cord-348010-m3a3utvz	783	10	.	.	.
cord-348010-m3a3utvz	784	1	They	-PRON-	PRP
cord-348010-m3a3utvz	784	2	are	be	VBP
cord-348010-m3a3utvz	784	3	of	of	IN
cord-348010-m3a3utvz	784	4	middle	middle	JJ
cord-348010-m3a3utvz	784	5	complexity	complexity	NN
cord-348010-m3a3utvz	784	6	.	.	.
cord-348010-m3a3utvz	785	1	After	after	IN
cord-348010-m3a3utvz	785	2	that	that	DT
cord-348010-m3a3utvz	785	3	,	,	,
cord-348010-m3a3utvz	785	4	we	-PRON-	PRP
cord-348010-m3a3utvz	785	5	deal	deal	VBP
cord-348010-m3a3utvz	785	6	in	in	IN
cord-348010-m3a3utvz	785	7	short	short	JJ
cord-348010-m3a3utvz	785	8	with	with	IN
cord-348010-m3a3utvz	785	9	SIR	SIR	NNP
cord-348010-m3a3utvz	785	10	and	and	CC
cord-348010-m3a3utvz	785	11	SIS	SIS	NNP
cord-348010-m3a3utvz	785	12	models	model	NNS
cord-348010-m3a3utvz	785	13	.	.	.
cord-348010-m3a3utvz	786	1	They	-PRON-	PRP
cord-348010-m3a3utvz	786	2	are	be	VBP
cord-348010-m3a3utvz	786	3	special	special	JJ
cord-348010-m3a3utvz	786	4	cases	case	NNS
cord-348010-m3a3utvz	786	5	in	in	IN
cord-348010-m3a3utvz	786	6	some	some	DT
cord-348010-m3a3utvz	786	7	kind	kind	NN
cord-348010-m3a3utvz	786	8	,	,	,
cord-348010-m3a3utvz	786	9	however	however	RB
cord-348010-m3a3utvz	786	10	,	,	,
cord-348010-m3a3utvz	786	11	they	-PRON-	PRP
cord-348010-m3a3utvz	786	12	obey	obey	VBP
cord-348010-m3a3utvz	786	13	some	some	DT
cord-348010-m3a3utvz	786	14	own	own	JJ
cord-348010-m3a3utvz	786	15	features	feature	NNS
cord-348010-m3a3utvz	786	16	.	.	.
cord-348010-m3a3utvz	787	1	At	at	IN
cord-348010-m3a3utvz	787	2	the	the	DT
cord-348010-m3a3utvz	787	3	end	end	NN
cord-348010-m3a3utvz	787	4	,	,	,
cord-348010-m3a3utvz	787	5	we	-PRON-	PRP
cord-348010-m3a3utvz	787	6	consider	consider	VBP
cord-348010-m3a3utvz	787	7	SEIRSD	SEIRSD	NNP
cord-348010-m3a3utvz	787	8	and	and	CC
cord-348010-m3a3utvz	787	9	SEI	SEI	NNP
cord-348010-m3a3utvz	787	10	3	3	CD
cord-348010-m3a3utvz	787	11	RD	RD	NNP
cord-348010-m3a3utvz	787	12	models	model	NNS
cord-348010-m3a3utvz	787	13	.	.	.
cord-348010-m3a3utvz	788	1	Obviously	obviously	RB
cord-348010-m3a3utvz	788	2	,	,	,
cord-348010-m3a3utvz	788	3	under	under	IN
cord-348010-m3a3utvz	788	4	corresponding	correspond	VBG
cord-348010-m3a3utvz	788	5	mild	mild	JJ
cord-348010-m3a3utvz	788	6	assumptions	assumption	NNS
cord-348010-m3a3utvz	788	7	,	,	,
cord-348010-m3a3utvz	788	8	Lemma	Lemma	NNP
cord-348010-m3a3utvz	788	9	2	2	CD
cord-348010-m3a3utvz	788	10	and	and	CC
cord-348010-m3a3utvz	788	11	Theorem	theorem	NN
cord-348010-m3a3utvz	788	12	4.3	4.3	CD
cord-348010-m3a3utvz	788	13	can	can	MD
cord-348010-m3a3utvz	788	14	be	be	VB
cord-348010-m3a3utvz	788	15	easily	easily	RB
cord-348010-m3a3utvz	788	16	applied	apply	VBN
cord-348010-m3a3utvz	788	17	to	to	IN
cord-348010-m3a3utvz	788	18	the	the	DT
cord-348010-m3a3utvz	788	19	subsequent	subsequent	JJ
cord-348010-m3a3utvz	788	20	mathematical	mathematical	JJ
cord-348010-m3a3utvz	788	21	problems	problem	NNS
cord-348010-m3a3utvz	788	22	arising	arise	VBG
cord-348010-m3a3utvz	788	23	from	from	IN
cord-348010-m3a3utvz	788	24	SIRSD	SIRSD	NNP
cord-348010-m3a3utvz	788	25	,	,	,
cord-348010-m3a3utvz	788	26	SIRD	SIRD	NNP
cord-348010-m3a3utvz	788	27	,	,	,
cord-348010-m3a3utvz	788	28	SIR	SIR	NNP
cord-348010-m3a3utvz	788	29	and	and	CC
cord-348010-m3a3utvz	788	30	SIS	SIS	NNP
cord-348010-m3a3utvz	788	31	models	model	NNS
cord-348010-m3a3utvz	788	32	.	.	.
cord-348010-m3a3utvz	789	1	In	in	IN
cord-348010-m3a3utvz	789	2	particular	particular	JJ
cord-348010-m3a3utvz	789	3	,	,	,
cord-348010-m3a3utvz	789	4	all	all	DT
cord-348010-m3a3utvz	789	5	solutions	solution	NNS
cord-348010-m3a3utvz	789	6	components	component	NNS
cord-348010-m3a3utvz	789	7	like	like	IN
cord-348010-m3a3utvz	789	8	,	,	,
cord-348010-m3a3utvz	789	9	I	-PRON-	PRP
cord-348010-m3a3utvz	789	10	etc	etc	FW
cord-348010-m3a3utvz	789	11	.	.	.
cord-348010-m3a3utvz	790	1	are	be	VBP
cord-348010-m3a3utvz	790	2	non	non	JJ
cord-348010-m3a3utvz	790	3	-	-	JJ
cord-348010-m3a3utvz	790	4	negative	negative	JJ
cord-348010-m3a3utvz	790	5	.	.	.
cord-348010-m3a3utvz	791	1	We	-PRON-	PRP
cord-348010-m3a3utvz	791	2	want	want	VBP
cord-348010-m3a3utvz	791	3	to	to	TO
cord-348010-m3a3utvz	791	4	return	return	VB
cord-348010-m3a3utvz	791	5	to	to	IN
cord-348010-m3a3utvz	791	6	the	the	DT
cord-348010-m3a3utvz	791	7	role	role	NN
cord-348010-m3a3utvz	791	8	of	of	IN
cord-348010-m3a3utvz	791	9	the	the	DT
cord-348010-m3a3utvz	791	10	replacement	replacement	NN
cord-348010-m3a3utvz	791	11	number	number	NN
cord-348010-m3a3utvz	791	12	(	(	-LRB-
cord-348010-m3a3utvz	791	13	reproduction	reproduction	NN
cord-348010-m3a3utvz	791	14	number	number	NN
cord-348010-m3a3utvz	791	15	)	)	-RRB-
cord-348010-m3a3utvz	791	16	in	in	IN
cord-348010-m3a3utvz	791	17	the	the	DT
cord-348010-m3a3utvz	791	18	light	light	NN
cord-348010-m3a3utvz	791	19	of	of	IN
cord-348010-m3a3utvz	791	20	dimension	dimension	NN
cord-348010-m3a3utvz	791	21	analyse	analyse	NNP
cord-348010-m3a3utvz	791	22	,	,	,
cord-348010-m3a3utvz	791	23	see	see	VB
cord-348010-m3a3utvz	791	24	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	791	25	2.2.2	2.2.2	CD
cord-348010-m3a3utvz	791	26	.	.	.
cord-348010-m3a3utvz	792	1	For	for	IN
cord-348010-m3a3utvz	792	2	this	this	DT
cord-348010-m3a3utvz	792	3	reason	reason	NN
cord-348010-m3a3utvz	792	4	,	,	,
cord-348010-m3a3utvz	792	5	we	-PRON-	PRP
cord-348010-m3a3utvz	792	6	consider	consider	VBP
cord-348010-m3a3utvz	792	7	a	a	DT
cord-348010-m3a3utvz	792	8	SIRSD	SIRSD	NNP
cord-348010-m3a3utvz	792	9	model	model	NN
cord-348010-m3a3utvz	792	10	given	give	VBN
cord-348010-m3a3utvz	792	11	bẏ	bẏ	IN
cord-348010-m3a3utvz	793	1	Based	base	VBN
cord-348010-m3a3utvz	793	2	on	on	IN
cord-348010-m3a3utvz	793	3	Lemma	Lemma	NNP
cord-348010-m3a3utvz	793	4	2	2	CD
cord-348010-m3a3utvz	793	5	,	,	,
cord-348010-m3a3utvz	793	6	the	the	DT
cord-348010-m3a3utvz	793	7	denominator	denominator	NN
cord-348010-m3a3utvz	793	8	1	1	CD
cord-348010-m3a3utvz	793	9	−	−	CD
cord-348010-m3a3utvz	793	10	equals	equal	VBZ
cord-348010-m3a3utvz	793	11	to	to	IN
cord-348010-m3a3utvz	794	1	+	+	CC
cord-348010-m3a3utvz	795	1	+	+	UH
cord-348010-m3a3utvz	795	2	,	,	.
cord-348010-m3a3utvz	796	1	and	and	CC
cord-348010-m3a3utvz	796	2	,	,	,
cord-348010-m3a3utvz	796	3	hence	hence	RB
cord-348010-m3a3utvz	796	4	equations	equation	NNS
cord-348010-m3a3utvz	796	5	(	(	-LRB-
cord-348010-m3a3utvz	796	6	4.68	4.68	CD
cord-348010-m3a3utvz	796	7	)	)	-RRB-
cord-348010-m3a3utvz	796	8	and	and	CC
cord-348010-m3a3utvz	796	9	(	(	-LRB-
cord-348010-m3a3utvz	796	10	4.69	4.69	CD
cord-348010-m3a3utvz	796	11	)	)	-RRB-
cord-348010-m3a3utvz	796	12	can	can	MD
cord-348010-m3a3utvz	796	13	be	be	VB
cord-348010-m3a3utvz	796	14	reformulated	reformulate	VBN
cord-348010-m3a3utvz	796	15	without	without	IN
cord-348010-m3a3utvz	796	16	.	.	.
cord-348010-m3a3utvz	797	1	For	for	IN
cord-348010-m3a3utvz	797	2	convenience	convenience	NN
cord-348010-m3a3utvz	797	3	,	,	,
cord-348010-m3a3utvz	797	4	we	-PRON-	PRP
cord-348010-m3a3utvz	797	5	repeat	repeat	VBP
cord-348010-m3a3utvz	797	6	all	all	DT
cord-348010-m3a3utvz	797	7	equations	equation	NNS
cord-348010-m3a3utvz	797	8	and	and	CC
cord-348010-m3a3utvz	797	9	get	get	VB
cord-348010-m3a3utvz	797	10	the	the	DT
cord-348010-m3a3utvz	797	11	equivalent	equivalent	JJ
cord-348010-m3a3utvz	797	12	system	system	NN
cord-348010-m3a3utvz	797	13	:	:	:
cord-348010-m3a3utvz	797	14	As	as	IN
cord-348010-m3a3utvz	797	15	a	a	DT
cord-348010-m3a3utvz	797	16	consequence	consequence	NN
cord-348010-m3a3utvz	797	17	,	,	,
cord-348010-m3a3utvz	797	18	the	the	DT
cord-348010-m3a3utvz	797	19	first	first	JJ
cord-348010-m3a3utvz	797	20	three	three	CD
cord-348010-m3a3utvz	797	21	equations	equation	NNS
cord-348010-m3a3utvz	797	22	do	do	VBP
cord-348010-m3a3utvz	797	23	not	not	RB
cord-348010-m3a3utvz	797	24	contain	contain	VB
cord-348010-m3a3utvz	797	25	.	.	.
cord-348010-m3a3utvz	798	1	They	-PRON-	PRP
cord-348010-m3a3utvz	798	2	can	can	MD
cord-348010-m3a3utvz	798	3	be	be	VB
cord-348010-m3a3utvz	798	4	solved	solve	VBN
cord-348010-m3a3utvz	798	5	separately	separately	RB
cord-348010-m3a3utvz	798	6	,	,	,
cord-348010-m3a3utvz	798	7	after	after	IN
cord-348010-m3a3utvz	798	8	that	that	DT
cord-348010-m3a3utvz	798	9	,	,	,
cord-348010-m3a3utvz	798	10	can	can	MD
cord-348010-m3a3utvz	798	11	be	be	VB
cord-348010-m3a3utvz	798	12	obtained	obtain	VBN
cord-348010-m3a3utvz	798	13	via	via	IN
cord-348010-m3a3utvz	798	14	simple	simple	JJ
cord-348010-m3a3utvz	798	15	integration	integration	NN
cord-348010-m3a3utvz	798	16	.	.	.
cord-348010-m3a3utvz	799	1	If	if	IN
cord-348010-m3a3utvz	799	2	additionally	additionally	RB
cord-348010-m3a3utvz	799	3	≡	≡	NNP
cord-348010-m3a3utvz	799	4	0	0	NFP
cord-348010-m3a3utvz	799	5	,	,	,
cord-348010-m3a3utvz	799	6	at	at	IN
cord-348010-m3a3utvz	799	7	first	first	RB
cord-348010-m3a3utvz	799	8	,	,	,
cord-348010-m3a3utvz	799	9	the	the	DT
cord-348010-m3a3utvz	799	10	subsystem	subsystem	NN
cord-348010-m3a3utvz	799	11	for	for	IN
cord-348010-m3a3utvz	799	12	and	and	CC
cord-348010-m3a3utvz	799	13	can	can	MD
cord-348010-m3a3utvz	799	14	be	be	VB
cord-348010-m3a3utvz	799	15	solved	solve	VBN
cord-348010-m3a3utvz	799	16	and	and	CC
cord-348010-m3a3utvz	799	17	afterwards	afterwards	RB
cord-348010-m3a3utvz	799	18	and	and	CC
cord-348010-m3a3utvz	799	19	can	can	MD
cord-348010-m3a3utvz	799	20	be	be	VB
cord-348010-m3a3utvz	799	21	obtained	obtain	VBN
cord-348010-m3a3utvz	799	22	.	.	.
cord-348010-m3a3utvz	800	1	This	this	DT
cord-348010-m3a3utvz	800	2	is	be	VBZ
cord-348010-m3a3utvz	800	3	an	an	DT
cord-348010-m3a3utvz	800	4	advantage	advantage	NN
cord-348010-m3a3utvz	800	5	for	for	IN
cord-348010-m3a3utvz	800	6	numerical	numerical	JJ
cord-348010-m3a3utvz	800	7	studies	study	NNS
cord-348010-m3a3utvz	800	8	.	.	.
cord-348010-m3a3utvz	801	1	Now	now	RB
cord-348010-m3a3utvz	801	2	,	,	,
cord-348010-m3a3utvz	801	3	we	-PRON-	PRP
cord-348010-m3a3utvz	801	4	want	want	VBP
cord-348010-m3a3utvz	801	5	to	to	TO
cord-348010-m3a3utvz	801	6	get	get	VB
cord-348010-m3a3utvz	801	7	the	the	DT
cord-348010-m3a3utvz	801	8	specific	specific	JJ
cord-348010-m3a3utvz	801	9	expressions	expression	NNS
cord-348010-m3a3utvz	801	10	for	for	IN
cord-348010-m3a3utvz	801	11	the	the	DT
cord-348010-m3a3utvz	801	12	basic	basic	JJ
cord-348010-m3a3utvz	801	13	reproduction	reproduction	NN
cord-348010-m3a3utvz	801	14	number	number	NN
cord-348010-m3a3utvz	801	15	0	0	CD
cord-348010-m3a3utvz	801	16	,	,	,
cord-348010-m3a3utvz	801	17	contact	contact	NN
cord-348010-m3a3utvz	801	18	number	number	NN
cord-348010-m3a3utvz	801	19	and	and	CC
cord-348010-m3a3utvz	801	20	replacement	replacement	NN
cord-348010-m3a3utvz	801	21	number	number	NN
cord-348010-m3a3utvz	801	22	.	.	.
cord-348010-m3a3utvz	802	1	We	-PRON-	PRP
cord-348010-m3a3utvz	802	2	remember	remember	VBP
cord-348010-m3a3utvz	802	3	the	the	DT
cord-348010-m3a3utvz	802	4	ideas	idea	NNS
cord-348010-m3a3utvz	802	5	in	in	IN
cord-348010-m3a3utvz	802	6	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	802	7	2.2.2	2.2.2	CD
cord-348010-m3a3utvz	802	8	.	.	.
cord-348010-m3a3utvz	803	1	An	an	DT
cord-348010-m3a3utvz	803	2	easy	easy	JJ
cord-348010-m3a3utvz	803	3	way	way	NN
cord-348010-m3a3utvz	803	4	to	to	TO
cord-348010-m3a3utvz	803	5	find	find	VB
cord-348010-m3a3utvz	803	6	consists	consist	VBZ
cord-348010-m3a3utvz	803	7	in	in	IN
cord-348010-m3a3utvz	803	8	taking	take	VBG
cord-348010-m3a3utvz	803	9	the	the	DT
cord-348010-m3a3utvz	803	10	ratio	ratio	NN
cord-348010-m3a3utvz	803	11	of	of	IN
cord-348010-m3a3utvz	803	12	inflow	inflow	NN
cord-348010-m3a3utvz	803	13	and	and	CC
cord-348010-m3a3utvz	803	14	outflow	outflow	NN
cord-348010-m3a3utvz	803	15	in	in	IN
cord-348010-m3a3utvz	803	16	(	(	-LRB-
cord-348010-m3a3utvz	803	17	4.74	4.74	CD
cord-348010-m3a3utvz	803	18	)	)	-RRB-
cord-348010-m3a3utvz	803	19	(	(	-LRB-
cord-348010-m3a3utvz	803	20	or	or	CC
cord-348010-m3a3utvz	803	21	in	in	IN
cord-348010-m3a3utvz	803	22	(	(	-LRB-
cord-348010-m3a3utvz	803	23	4.62	4.62	CD
cord-348010-m3a3utvz	803	24	)	)	-RRB-
cord-348010-m3a3utvz	803	25	)	)	-RRB-
cord-348010-m3a3utvz	803	26	.	.	.
cord-348010-m3a3utvz	804	1	Thus	thus	RB
cord-348010-m3a3utvz	804	2	,	,	,
cord-348010-m3a3utvz	804	3	we	-PRON-	PRP
cord-348010-m3a3utvz	804	4	get	get	VBP
cord-348010-m3a3utvz	804	5	=	=	NFP
cord-348010-m3a3utvz	805	1	1	1	LS
cord-348010-m3a3utvz	806	1	+	+	CC
cord-348010-m3a3utvz	807	1	̃+	̃+	NNP
cord-348010-m3a3utvz	808	1	+	+	CC
cord-348010-m3a3utvz	808	2	=	=	NFP
cord-348010-m3a3utvz	809	1	+	+	CC
cord-348010-m3a3utvz	810	1	+	+	CC
cord-348010-m3a3utvz	810	2	+	+	CC
cord-348010-m3a3utvz	810	3	.	.	.
cord-348010-m3a3utvz	811	1	(	(	-LRB-
cord-348010-m3a3utvz	811	2	4.77	4.77	CD
cord-348010-m3a3utvz	811	3	)	)	-RRB-
cord-348010-m3a3utvz	812	1	Thus	thus	RB
cord-348010-m3a3utvz	812	2	,	,	,
cord-348010-m3a3utvz	812	3	the	the	DT
cord-348010-m3a3utvz	812	4	(	(	-LRB-
cord-348010-m3a3utvz	812	5	current	current	JJ
cord-348010-m3a3utvz	812	6	)	)	-RRB-
cord-348010-m3a3utvz	812	7	contact	contact	NN
cord-348010-m3a3utvz	812	8	number	number	NN
cord-348010-m3a3utvz	812	9	and	and	CC
cord-348010-m3a3utvz	812	10	the	the	DT
cord-348010-m3a3utvz	812	11	basic	basic	JJ
cord-348010-m3a3utvz	812	12	reproduction	reproduction	NN
cord-348010-m3a3utvz	812	13	number	number	NN
cord-348010-m3a3utvz	812	14	0	0	NFP
cord-348010-m3a3utvz	812	15	follow	follow	NN
cord-348010-m3a3utvz	812	16	in	in	IN
cord-348010-m3a3utvz	812	17	accordance	accordance	NN
cord-348010-m3a3utvz	812	18	with	with	IN
cord-348010-m3a3utvz	812	19	As	as	IN
cord-348010-m3a3utvz	812	20	already	already	RB
cord-348010-m3a3utvz	812	21	stated	state	VBN
cord-348010-m3a3utvz	812	22	,	,	,
cord-348010-m3a3utvz	812	23	the	the	DT
cord-348010-m3a3utvz	812	24	quantities	quantity	NNS
cord-348010-m3a3utvz	812	25	0	0	CD
cord-348010-m3a3utvz	812	26	,	,	,
cord-348010-m3a3utvz	812	27	and	and	CC
cord-348010-m3a3utvz	812	28	are	be	VBP
cord-348010-m3a3utvz	812	29	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	812	30	,	,	,
cord-348010-m3a3utvz	812	31	0	0	NFP
cord-348010-m3a3utvz	812	32	is	be	VBZ
cord-348010-m3a3utvz	812	33	always	always	RB
cord-348010-m3a3utvz	812	34	a	a	DT
cord-348010-m3a3utvz	812	35	constant	constant	NN
cord-348010-m3a3utvz	812	36	.	.	.
cord-348010-m3a3utvz	813	1	The	the	DT
cord-348010-m3a3utvz	813	2	following	follow	VBG
cord-348010-m3a3utvz	813	3	assertions	assertion	NNS
cord-348010-m3a3utvz	813	4	easily	easily	RB
cord-348010-m3a3utvz	813	5	follow	follow	VBP
cord-348010-m3a3utvz	813	6	.	.	.
cord-348010-m3a3utvz	814	1	(	(	-LRB-
cord-348010-m3a3utvz	814	2	4.79	4.79	CD
cord-348010-m3a3utvz	814	3	)	)	-RRB-
cord-348010-m3a3utvz	814	4	A	a	DT
cord-348010-m3a3utvz	814	5	sufficient	sufficient	JJ
cord-348010-m3a3utvz	814	6	and	and	CC
cord-348010-m3a3utvz	814	7	necessary	necessary	JJ
cord-348010-m3a3utvz	814	8	condition	condition	NN
cord-348010-m3a3utvz	814	9	is	be	VBZ
cord-348010-m3a3utvz	814	10	given	give	VBN
cord-348010-m3a3utvz	814	11	by	by	IN
cord-348010-m3a3utvz	814	12	However	however	RB
cord-348010-m3a3utvz	814	13	,	,	,
cord-348010-m3a3utvz	814	14	due	due	IN
cord-348010-m3a3utvz	814	15	to	to	IN
cord-348010-m3a3utvz	814	16	0∕	0∕	CD
cord-348010-m3a3utvz	814	17	0	0	CD
cord-348010-m3a3utvz	814	18	+	+	SYM
cord-348010-m3a3utvz	814	19	0	0	CD
cord-348010-m3a3utvz	814	20	+	+	SYM
cord-348010-m3a3utvz	814	21	0	0	CD
cord-348010-m3a3utvz	814	22	≈	≈	NNP
cord-348010-m3a3utvz	814	23	1	1	CD
cord-348010-m3a3utvz	814	24	in	in	IN
cord-348010-m3a3utvz	814	25	many	many	JJ
cord-348010-m3a3utvz	814	26	cases	case	NNS
cord-348010-m3a3utvz	814	27	,	,	,
cord-348010-m3a3utvz	814	28	in	in	IN
cord-348010-m3a3utvz	814	29	reality	reality	NN
cord-348010-m3a3utvz	814	30	,	,	,
cord-348010-m3a3utvz	814	31	condition	condition	NN
cord-348010-m3a3utvz	814	32	(	(	-LRB-
cord-348010-m3a3utvz	814	33	4.79	4.79	CD
cord-348010-m3a3utvz	814	34	)	)	-RRB-
cord-348010-m3a3utvz	814	35	is	be	VBZ
cord-348010-m3a3utvz	814	36	often	often	RB
cord-348010-m3a3utvz	814	37	also	also	RB
cord-348010-m3a3utvz	814	38	sufficient	sufficient	JJ
cord-348010-m3a3utvz	814	39	.	.	.
cord-348010-m3a3utvz	815	1	(	(	-LRB-
cord-348010-m3a3utvz	815	2	iv	iv	LS
cord-348010-m3a3utvz	815	3	)	)	-RRB-
cord-348010-m3a3utvz	815	4	The	the	DT
cord-348010-m3a3utvz	815	5	lethality	lethality	NN
cord-348010-m3a3utvz	815	6	coefficient	coefficient	NN
cord-348010-m3a3utvz	815	7	has	have	VBZ
cord-348010-m3a3utvz	815	8	only	only	RB
cord-348010-m3a3utvz	815	9	a	a	DT
cord-348010-m3a3utvz	815	10	significant	significant	JJ
cord-348010-m3a3utvz	815	11	influence	influence	NN
cord-348010-m3a3utvz	815	12	,	,	,
cord-348010-m3a3utvz	815	13	if	if	IN
cord-348010-m3a3utvz	815	14	it	-PRON-	PRP
cord-348010-m3a3utvz	815	15	has	have	VBZ
cord-348010-m3a3utvz	815	16	the	the	DT
cord-348010-m3a3utvz	815	17	same	same	JJ
cord-348010-m3a3utvz	815	18	magnitude	magnitude	NN
cord-348010-m3a3utvz	815	19	of	of	IN
cord-348010-m3a3utvz	815	20	order	order	NN
cord-348010-m3a3utvz	815	21	as	as	IN
cord-348010-m3a3utvz	815	22	.	.	.
cord-348010-m3a3utvz	816	1	And	and	CC
cord-348010-m3a3utvz	816	2	,	,	,
cord-348010-m3a3utvz	816	3	if	if	IN
cord-348010-m3a3utvz	816	4	this	this	DT
cord-348010-m3a3utvz	816	5	is	be	VBZ
cord-348010-m3a3utvz	816	6	the	the	DT
cord-348010-m3a3utvz	816	7	case	case	NN
cord-348010-m3a3utvz	816	8	,	,	,
cord-348010-m3a3utvz	816	9	then	then	RB
cord-348010-m3a3utvz	816	10	the	the	DT
cord-348010-m3a3utvz	816	11	spread	spread	NN
cord-348010-m3a3utvz	816	12	of	of	IN
cord-348010-m3a3utvz	816	13	infection	infection	NN
cord-348010-m3a3utvz	816	14	is	be	VBZ
cord-348010-m3a3utvz	816	15	essentially	essentially	RB
cord-348010-m3a3utvz	816	16	braked	brake	VBN
cord-348010-m3a3utvz	816	17	by	by	IN
cord-348010-m3a3utvz	816	18	death	death	NN
cord-348010-m3a3utvz	816	19	cases	case	NNS
cord-348010-m3a3utvz	816	20	.	.	.
cord-348010-m3a3utvz	817	1	This	this	DT
cord-348010-m3a3utvz	817	2	can	can	MD
cord-348010-m3a3utvz	817	3	explain	explain	VB
cord-348010-m3a3utvz	817	4	,	,	,
cord-348010-m3a3utvz	817	5	that	that	IN
cord-348010-m3a3utvz	817	6	the	the	DT
cord-348010-m3a3utvz	817	7	evolution	evolution	NN
cord-348010-m3a3utvz	817	8	led	lead	VBD
cord-348010-m3a3utvz	817	9	to	to	IN
cord-348010-m3a3utvz	817	10	pathogens	pathogen	NNS
cord-348010-m3a3utvz	817	11	which	which	WDT
cord-348010-m3a3utvz	817	12	(	(	-LRB-
cord-348010-m3a3utvz	817	13	as	as	IN
cord-348010-m3a3utvz	817	14	a	a	DT
cord-348010-m3a3utvz	817	15	rule	rule	NN
cord-348010-m3a3utvz	817	16	)	)	-RRB-
cord-348010-m3a3utvz	817	17	do	do	VBP
cord-348010-m3a3utvz	817	18	not	not	RB
cord-348010-m3a3utvz	817	19	have	have	VB
cord-348010-m3a3utvz	817	20	too	too	RB
cord-348010-m3a3utvz	817	21	high	high	JJ
cord-348010-m3a3utvz	817	22	lethality	lethality	NN
cord-348010-m3a3utvz	817	23	.	.	.
cord-348010-m3a3utvz	818	1	(	(	-LRB-
cord-348010-m3a3utvz	818	2	v	v	LS
cord-348010-m3a3utvz	818	3	)	)	-RRB-
cord-348010-m3a3utvz	818	4	The	the	DT
cord-348010-m3a3utvz	818	5	function	function	NN
cord-348010-m3a3utvz	818	6	can	can	MD
cord-348010-m3a3utvz	818	7	only	only	RB
cord-348010-m3a3utvz	818	8	grow	grow	VB
cord-348010-m3a3utvz	818	9	,	,	,
cord-348010-m3a3utvz	818	10	so	so	RB
cord-348010-m3a3utvz	818	11	long	long	RB
cord-348010-m3a3utvz	818	12	as	as	IN
cord-348010-m3a3utvz	818	13	the	the	DT
cord-348010-m3a3utvz	818	14	replacement	replacement	NN
cord-348010-m3a3utvz	818	15	number	number	NN
cord-348010-m3a3utvz	818	16	fulfils	fulfil	VBZ
cord-348010-m3a3utvz	818	17	(	(	-LRB-
cord-348010-m3a3utvz	818	18	)	)	-RRB-
cord-348010-m3a3utvz	818	19	>	>	XX
cord-348010-m3a3utvz	819	1	1	1	LS
cord-348010-m3a3utvz	819	2	.	.	.
cord-348010-m3a3utvz	820	1	(	(	-LRB-
cord-348010-m3a3utvz	820	2	vi	vi	NNP
cord-348010-m3a3utvz	820	3	)	)	-RRB-
cord-348010-m3a3utvz	821	1	If	if	IN
cord-348010-m3a3utvz	821	2	(	(	-LRB-
cord-348010-m3a3utvz	821	3	)	)	-RRB-
cord-348010-m3a3utvz	821	4	<	<	XX
cord-348010-m3a3utvz	821	5	1	1	CD
cord-348010-m3a3utvz	821	6	,	,	,
cord-348010-m3a3utvz	821	7	then	then	RB
cord-348010-m3a3utvz	821	8	also	also	RB
cord-348010-m3a3utvz	821	9	holds	hold	VBZ
cord-348010-m3a3utvz	821	10	(	(	-LRB-
cord-348010-m3a3utvz	821	11	)	)	-RRB-
cord-348010-m3a3utvz	821	12	<	<	XX
cord-348010-m3a3utvz	821	13	1	1	CD
cord-348010-m3a3utvz	821	14	,	,	,
cord-348010-m3a3utvz	821	15	and	and	CC
cord-348010-m3a3utvz	821	16	decreases	decrease	VBZ
cord-348010-m3a3utvz	821	17	.	.	.
cord-348010-m3a3utvz	822	1	(	(	-LRB-
cord-348010-m3a3utvz	822	2	vii	vii	NN
cord-348010-m3a3utvz	822	3	)	)	-RRB-
cord-348010-m3a3utvz	823	1	If	if	IN
cord-348010-m3a3utvz	823	2	=	=	SYM
cord-348010-m3a3utvz	823	3	0	0	NFP
cord-348010-m3a3utvz	823	4	,	,	,
cord-348010-m3a3utvz	823	5	then	then	RB
cord-348010-m3a3utvz	823	6	can	can	MD
cord-348010-m3a3utvz	823	7	only	only	RB
cord-348010-m3a3utvz	823	8	grow	grow	VB
cord-348010-m3a3utvz	823	9	,	,	,
cord-348010-m3a3utvz	823	10	and	and	CC
cord-348010-m3a3utvz	823	11	can	can	MD
cord-348010-m3a3utvz	823	12	only	only	RB
cord-348010-m3a3utvz	823	13	fall	fall	VB
cord-348010-m3a3utvz	823	14	.	.	.
cord-348010-m3a3utvz	824	1	The	the	DT
cord-348010-m3a3utvz	824	2	case	case	NN
cord-348010-m3a3utvz	824	3	≠	≠	NN
cord-348010-m3a3utvz	824	4	0	0	CD
cord-348010-m3a3utvz	824	5	is	be	VBZ
cord-348010-m3a3utvz	824	6	more	more	RBR
cord-348010-m3a3utvz	824	7	complex	complex	JJ
cord-348010-m3a3utvz	824	8	and	and	CC
cord-348010-m3a3utvz	824	9	needs	need	VBZ
cord-348010-m3a3utvz	824	10	detailed	detailed	JJ
cord-348010-m3a3utvz	824	11	investigations	investigation	NNS
cord-348010-m3a3utvz	824	12	.	.	.
cord-348010-m3a3utvz	825	1	Remark	remark	NN
cord-348010-m3a3utvz	825	2	4.6	4.6	CD
cord-348010-m3a3utvz	825	3	.	.	.
cord-348010-m3a3utvz	826	1	(	(	-LRB-
cord-348010-m3a3utvz	826	2	Death	death	NN
cord-348010-m3a3utvz	826	3	-	-	HYPH
cord-348010-m3a3utvz	826	4	adjusted	adjust	VBN
cord-348010-m3a3utvz	826	5	infectious	infectious	JJ
cord-348010-m3a3utvz	826	6	period	period	NN
cord-348010-m3a3utvz	826	7	)	)	-RRB-
cord-348010-m3a3utvz	827	1	In	in	IN
cord-348010-m3a3utvz	827	2	simple	simple	JJ
cord-348010-m3a3utvz	827	3	models	model	NNS
cord-348010-m3a3utvz	827	4	like	like	IN
cord-348010-m3a3utvz	827	5	SIS	SIS	NNP
cord-348010-m3a3utvz	827	6	and	and	CC
cord-348010-m3a3utvz	827	7	SIR	SIR	NNP
cord-348010-m3a3utvz	827	8	,	,	,
cord-348010-m3a3utvz	827	9	the	the	DT
cord-348010-m3a3utvz	827	10	contact	contact	NN
cord-348010-m3a3utvz	827	11	number	number	NN
cord-348010-m3a3utvz	827	12	fulfils	fulfil	VBZ
cord-348010-m3a3utvz	827	13	the	the	DT
cord-348010-m3a3utvz	827	14	relation	relation	NN
cord-348010-m3a3utvz	827	15	(	(	-LRB-
cord-348010-m3a3utvz	827	16	)	)	-RRB-
cord-348010-m3a3utvz	827	17	=	=	NFP
cord-348010-m3a3utvz	828	1	(	(	-LRB-
cord-348010-m3a3utvz	828	2	)	)	-RRB-
cord-348010-m3a3utvz	828	3	(	(	-LRB-
cord-348010-m3a3utvz	828	4	see	see	VB
cord-348010-m3a3utvz	828	5	formula	formula	NN
cord-348010-m3a3utvz	828	6	(	(	-LRB-
cord-348010-m3a3utvz	828	7	2.16	2.16	CD
cord-348010-m3a3utvz	828	8	)	)	-RRB-
cord-348010-m3a3utvz	828	9	)	)	-RRB-
cord-348010-m3a3utvz	828	10	,	,	,
cord-348010-m3a3utvz	828	11	where	where	WRB
cord-348010-m3a3utvz	828	12	=	=	NN
cord-348010-m3a3utvz	828	13	=	=	SYM
cord-348010-m3a3utvz	828	14	1	1	CD
cord-348010-m3a3utvz	828	15	∕	∕	CD
cord-348010-m3a3utvz	828	16	.	.	.
cord-348010-m3a3utvz	829	1	These	these	DT
cord-348010-m3a3utvz	829	2	models	model	NNS
cord-348010-m3a3utvz	829	3	are	be	VBP
cord-348010-m3a3utvz	829	4	applied	apply	VBN
cord-348010-m3a3utvz	829	5	,	,	,
cord-348010-m3a3utvz	829	6	if	if	IN
cord-348010-m3a3utvz	829	7	infection	infection	NN
cord-348010-m3a3utvz	829	8	-	-	HYPH
cord-348010-m3a3utvz	829	9	related	relate	VBN
cord-348010-m3a3utvz	829	10	deaths	death	NNS
cord-348010-m3a3utvz	829	11	(	(	-LRB-
cord-348010-m3a3utvz	829	12	and	and	CC
cord-348010-m3a3utvz	829	13	generally	generally	RB
cord-348010-m3a3utvz	829	14	death	death	NN
cord-348010-m3a3utvz	829	15	cases	case	NNS
cord-348010-m3a3utvz	829	16	)	)	-RRB-
cord-348010-m3a3utvz	829	17	do	do	VBP
cord-348010-m3a3utvz	829	18	not	not	RB
cord-348010-m3a3utvz	829	19	play	play	VB
cord-348010-m3a3utvz	829	20	a	a	DT
cord-348010-m3a3utvz	829	21	significant	significant	JJ
cord-348010-m3a3utvz	829	22	role	role	NN
cord-348010-m3a3utvz	829	23	.	.	.
cord-348010-m3a3utvz	830	1	However	however	RB
cord-348010-m3a3utvz	830	2	,	,	,
cord-348010-m3a3utvz	830	3	considering	consider	VBG
cord-348010-m3a3utvz	830	4	a	a	DT
cord-348010-m3a3utvz	830	5	SIRD	SIRD	NNP
cord-348010-m3a3utvz	830	6	model	model	NN
cord-348010-m3a3utvz	830	7	as	as	IN
cord-348010-m3a3utvz	830	8	above	above	RB
cord-348010-m3a3utvz	830	9	,	,	,
cord-348010-m3a3utvz	830	10	the	the	DT
cord-348010-m3a3utvz	830	11	mean	mean	JJ
cord-348010-m3a3utvz	830	12	effective	effective	JJ
cord-348010-m3a3utvz	830	13	infectious	infectious	JJ
cord-348010-m3a3utvz	830	14	period	period	NN
cord-348010-m3a3utvz	830	15	(	(	-LRB-
cord-348010-m3a3utvz	830	16	or	or	CC
cord-348010-m3a3utvz	830	17	the	the	DT
cord-348010-m3a3utvz	830	18	mean	mean	JJ
cord-348010-m3a3utvz	830	19	death	death	NN
cord-348010-m3a3utvz	830	20	-	-	HYPH
cord-348010-m3a3utvz	830	21	adjusted	adjust	VBN
cord-348010-m3a3utvz	830	22	infectious	infectious	JJ
cord-348010-m3a3utvz	830	23	period	period	NN
cord-348010-m3a3utvz	830	24	,	,	,
cord-348010-m3a3utvz	830	25	see	see	VB
cord-348010-m3a3utvz	830	26	[	[	-LRB-
cord-348010-m3a3utvz	830	27	16	16	CD
cord-348010-m3a3utvz	830	28	]	]	-RRB-
cord-348010-m3a3utvz	830	29	)	)	-RRB-
cord-348010-m3a3utvz	830	30	is	be	VBZ
cord-348010-m3a3utvz	830	31	not	not	RB
cord-348010-m3a3utvz	830	32	1	1	CD
cord-348010-m3a3utvz	830	33	∕	∕	CD
cord-348010-m3a3utvz	830	34	,	,	,
cord-348010-m3a3utvz	830	35	but	but	CC
cord-348010-m3a3utvz	830	36	has	have	VBZ
cord-348010-m3a3utvz	830	37	to	to	TO
cord-348010-m3a3utvz	830	38	be	be	VB
cord-348010-m3a3utvz	830	39	corrected	correct	VBN
cord-348010-m3a3utvz	830	40	.	.	.
cord-348010-m3a3utvz	831	1	As	as	IN
cord-348010-m3a3utvz	831	2	a	a	DT
cord-348010-m3a3utvz	831	3	result	result	NN
cord-348010-m3a3utvz	831	4	one	one	NN
cord-348010-m3a3utvz	831	5	obtains	obtain	VBZ
cord-348010-m3a3utvz	831	6	represents	represent	VBZ
cord-348010-m3a3utvz	831	7	the	the	DT
cord-348010-m3a3utvz	831	8	mean	mean	JJ
cord-348010-m3a3utvz	831	9	effective	effective	JJ
cord-348010-m3a3utvz	831	10	infectious	infectious	JJ
cord-348010-m3a3utvz	831	11	period	period	NN
cord-348010-m3a3utvz	831	12	(	(	-LRB-
cord-348010-m3a3utvz	831	13	see	see	VB
cord-348010-m3a3utvz	831	14	formula	formula	NN
cord-348010-m3a3utvz	831	15	(	(	-LRB-
cord-348010-m3a3utvz	831	16	2.21	2.21	CD
cord-348010-m3a3utvz	831	17	)	)	-RRB-
cord-348010-m3a3utvz	831	18	)	)	-RRB-
cord-348010-m3a3utvz	831	19	.	.	.
cord-348010-m3a3utvz	832	1	Thus	thus	RB
cord-348010-m3a3utvz	832	2	,	,	,
cord-348010-m3a3utvz	832	3	besides	besides	IN
cord-348010-m3a3utvz	832	4	using	use	VBG
cord-348010-m3a3utvz	832	5	the	the	DT
cord-348010-m3a3utvz	832	6	ratio	ratio	NN
cord-348010-m3a3utvz	832	7	of	of	IN
cord-348010-m3a3utvz	832	8	inflow	inflow	NN
cord-348010-m3a3utvz	832	9	and	and	CC
cord-348010-m3a3utvz	832	10	outflow	outflow	NN
cord-348010-m3a3utvz	832	11	,	,	,
cord-348010-m3a3utvz	832	12	there	there	EX
cord-348010-m3a3utvz	832	13	is	be	VBZ
cord-348010-m3a3utvz	832	14	an	an	DT
cord-348010-m3a3utvz	832	15	alternative	alternative	JJ
cord-348010-m3a3utvz	832	16	way	way	NN
cord-348010-m3a3utvz	832	17	to	to	TO
cord-348010-m3a3utvz	832	18	obtain	obtain	VB
cord-348010-m3a3utvz	832	19	relations	relation	NNS
cord-348010-m3a3utvz	832	20	(	(	-LRB-
cord-348010-m3a3utvz	832	21	4.77	4.77	CD
cord-348010-m3a3utvz	832	22	)	)	-RRB-
cord-348010-m3a3utvz	832	23	and	and	CC
cord-348010-m3a3utvz	832	24	(	(	-LRB-
cord-348010-m3a3utvz	832	25	4.78	4.78	CD
cord-348010-m3a3utvz	832	26	)	)	-RRB-
cord-348010-m3a3utvz	832	27	via	via	IN
cord-348010-m3a3utvz	832	28	a	a	DT
cord-348010-m3a3utvz	832	29	mean	mean	JJ
cord-348010-m3a3utvz	832	30	effective	effective	JJ
cord-348010-m3a3utvz	832	31	duration	duration	NN
cord-348010-m3a3utvz	832	32	of	of	IN
cord-348010-m3a3utvz	832	33	infectiousness	infectiousness	NN
cord-348010-m3a3utvz	832	34	.	.	.
cord-348010-m3a3utvz	833	1	Obviously	obviously	RB
cord-348010-m3a3utvz	833	2	,	,	,
cord-348010-m3a3utvz	833	3	and	and	CC
cord-348010-m3a3utvz	833	4	SIR	SIR	NNP
cord-348010-m3a3utvz	833	5	models	model	NNS
cord-348010-m3a3utvz	833	6	are	be	VBP
cord-348010-m3a3utvz	833	7	special	special	JJ
cord-348010-m3a3utvz	833	8	cases	case	NNS
cord-348010-m3a3utvz	833	9	of	of	IN
cord-348010-m3a3utvz	833	10	SIRSD	SIRSD	NNP
cord-348010-m3a3utvz	833	11	and	and	CC
cord-348010-m3a3utvz	833	12	SIRD	SIRD	NNP
cord-348010-m3a3utvz	833	13	ones	one	NNS
cord-348010-m3a3utvz	833	14	.	.	.
cord-348010-m3a3utvz	834	1	Thus	thus	RB
cord-348010-m3a3utvz	834	2	,	,	,
cord-348010-m3a3utvz	834	3	the	the	DT
cord-348010-m3a3utvz	834	4	assertions	assertion	NNS
cord-348010-m3a3utvz	834	5	in	in	IN
cord-348010-m3a3utvz	834	6	the	the	DT
cord-348010-m3a3utvz	834	7	preceding	precede	VBG
cord-348010-m3a3utvz	834	8	paragraph	paragraph	NN
cord-348010-m3a3utvz	834	9	remain	remain	VBP
cord-348010-m3a3utvz	834	10	valid	valid	JJ
cord-348010-m3a3utvz	834	11	after	after	IN
cord-348010-m3a3utvz	834	12	slight	slight	JJ
cord-348010-m3a3utvz	834	13	modifications	modification	NNS
cord-348010-m3a3utvz	834	14	.	.	.
cord-348010-m3a3utvz	835	1	However	however	RB
cord-348010-m3a3utvz	835	2	,	,	,
cord-348010-m3a3utvz	835	3	neglecting	neglect	VBG
cord-348010-m3a3utvz	835	4	the	the	DT
cord-348010-m3a3utvz	835	5	lethality	lethality	NN
cord-348010-m3a3utvz	835	6	coefficient	coefficient	NN
cord-348010-m3a3utvz	835	7	,	,	,
cord-348010-m3a3utvz	835	8	and	and	CC
cord-348010-m3a3utvz	835	9	thus	thus	RB
cord-348010-m3a3utvz	835	10	,	,	,
cord-348010-m3a3utvz	835	11	the	the	DT
cord-348010-m3a3utvz	835	12	contact	contact	NN
cord-348010-m3a3utvz	835	13	number	number	NN
cord-348010-m3a3utvz	835	14	directly	directly	RB
cord-348010-m3a3utvz	835	15	occurs	occur	VBZ
cord-348010-m3a3utvz	835	16	in	in	IN
cord-348010-m3a3utvz	835	17	the	the	DT
cord-348010-m3a3utvz	835	18	equations	equation	NNS
cord-348010-m3a3utvz	835	19	for	for	IN
cord-348010-m3a3utvz	835	20	and	and	CC
cord-348010-m3a3utvz	835	21	.	.	.
cord-348010-m3a3utvz	836	1	This	this	DT
cord-348010-m3a3utvz	836	2	can	can	MD
cord-348010-m3a3utvz	836	3	be	be	VB
cord-348010-m3a3utvz	836	4	done	do	VBN
cord-348010-m3a3utvz	836	5	,	,	,
cord-348010-m3a3utvz	836	6	if	if	IN
cord-348010-m3a3utvz	836	7	≪	≪	NNP
cord-348010-m3a3utvz	836	8	.	.	.
cord-348010-m3a3utvz	837	1	Therefore	therefore	RB
cord-348010-m3a3utvz	837	2	,	,	,
cord-348010-m3a3utvz	837	3	setting	set	VBG
cord-348010-m3a3utvz	837	4	≡	≡	NNP
cord-348010-m3a3utvz	837	5	0	0	NFP
cord-348010-m3a3utvz	837	6	and	and	CC
cord-348010-m3a3utvz	837	7	≡	≡	NNP
cord-348010-m3a3utvz	837	8	0	0	NFP
cord-348010-m3a3utvz	837	9	,	,	,
cord-348010-m3a3utvz	837	10	from	from	IN
cord-348010-m3a3utvz	837	11	(	(	-LRB-
cord-348010-m3a3utvz	837	12	4.77	4.77	CD
cord-348010-m3a3utvz	837	13	)	)	-RRB-
cord-348010-m3a3utvz	837	14	and	and	CC
cord-348010-m3a3utvz	837	15	(	(	-LRB-
cord-348010-m3a3utvz	837	16	4.78	4.78	CD
cord-348010-m3a3utvz	837	17	)	)	-RRB-
cord-348010-m3a3utvz	837	18	one	one	NN
cord-348010-m3a3utvz	837	19	obtains	obtain	VBZ
cord-348010-m3a3utvz	837	20	(	(	-LRB-
cord-348010-m3a3utvz	837	21	4.84	4.84	CD
cord-348010-m3a3utvz	837	22	)	)	-RRB-
cord-348010-m3a3utvz	837	23	)	)	-RRB-
cord-348010-m3a3utvz	837	24	.	.	.
cord-348010-m3a3utvz	838	1	For̃=	for̃=	LS
cord-348010-m3a3utvz	838	2	0	0	CD
cord-348010-m3a3utvz	839	1	a	a	DT
cord-348010-m3a3utvz	839	2	SIRS	SIRS	NNP
cord-348010-m3a3utvz	839	3	model	model	NN
cord-348010-m3a3utvz	839	4	becomes	become	VBZ
cord-348010-m3a3utvz	839	5	a	a	DT
cord-348010-m3a3utvz	839	6	SIR	SIR	NNP
cord-348010-m3a3utvz	839	7	one	one	CD
cord-348010-m3a3utvz	839	8	.	.	.
cord-348010-m3a3utvz	840	1	Thus	thus	RB
cord-348010-m3a3utvz	840	2	,	,	,
cord-348010-m3a3utvz	840	3	due	due	IN
cord-348010-m3a3utvz	840	4	to	to	IN
cord-348010-m3a3utvz	840	5	(	(	-LRB-
cord-348010-m3a3utvz	840	6	4.86	4.86	CD
cord-348010-m3a3utvz	840	7	)	)	-RRB-
cord-348010-m3a3utvz	840	8	,	,	,
cord-348010-m3a3utvz	840	9	grows	grow	VBZ
cord-348010-m3a3utvz	840	10	as	as	RB
cord-348010-m3a3utvz	840	11	long	long	RB
cord-348010-m3a3utvz	840	12	as	as	IN
cord-348010-m3a3utvz	840	13	reaches	reach	VBZ
cord-348010-m3a3utvz	840	14	its	-PRON-	PRP$
cord-348010-m3a3utvz	840	15	final	final	JJ
cord-348010-m3a3utvz	840	16	value	value	NN
cord-348010-m3a3utvz	840	17	=	=	NFP
cord-348010-m3a3utvz	841	1	1	1	CD
cord-348010-m3a3utvz	841	2	∕	∕	CD
cord-348010-m3a3utvz	841	3	0	0	CD
cord-348010-m3a3utvz	841	4	.	.	.
cord-348010-m3a3utvz	842	1	Concerning	concern	VBG
cord-348010-m3a3utvz	842	2	COVID-19	covid-19	CD
cord-348010-m3a3utvz	842	3	,	,	,
cord-348010-m3a3utvz	842	4	0	0	CD
cord-348010-m3a3utvz	842	5	=	=	SYM
cord-348010-m3a3utvz	842	6	3	3	CD
cord-348010-m3a3utvz	842	7	seems	seem	VBZ
cord-348010-m3a3utvz	842	8	to	to	TO
cord-348010-m3a3utvz	842	9	be	be	VB
cord-348010-m3a3utvz	842	10	realistic	realistic	JJ
cord-348010-m3a3utvz	842	11	.	.	.
cord-348010-m3a3utvz	843	1	Therefore	therefore	RB
cord-348010-m3a3utvz	843	2	,	,	,
cord-348010-m3a3utvz	843	3	=	=	SYM
cord-348010-m3a3utvz	843	4	0.33	0.33	CD
cord-348010-m3a3utvz	843	5	.	.	.
cord-348010-m3a3utvz	844	1	If	if	IN
cord-348010-m3a3utvz	844	2	there	there	EX
cord-348010-m3a3utvz	844	3	is	be	VBZ
cord-348010-m3a3utvz	844	4	no	no	DT
cord-348010-m3a3utvz	844	5	change	change	NN
cord-348010-m3a3utvz	844	6	of	of	IN
cord-348010-m3a3utvz	844	7	contact	contact	NN
cord-348010-m3a3utvz	844	8	behaviour	behaviour	NN
cord-348010-m3a3utvz	844	9	,	,	,
cord-348010-m3a3utvz	844	10	two	two	CD
cord-348010-m3a3utvz	844	11	-	-	HYPH
cord-348010-m3a3utvz	844	12	thirds	third	NNS
cord-348010-m3a3utvz	844	13	(	(	-LRB-
cord-348010-m3a3utvz	844	14	herd	herd	NN
cord-348010-m3a3utvz	844	15	immunity	immunity	NN
cord-348010-m3a3utvz	844	16	)	)	-RRB-
cord-348010-m3a3utvz	844	17	of	of	IN
cord-348010-m3a3utvz	844	18	an	an	DT
cord-348010-m3a3utvz	844	19	initially	initially	RB
cord-348010-m3a3utvz	844	20	fully	fully	RB
cord-348010-m3a3utvz	844	21	susceptible	susceptible	JJ
cord-348010-m3a3utvz	844	22	population	population	NN
cord-348010-m3a3utvz	844	23	will	will	MD
cord-348010-m3a3utvz	844	24	be	be	VB
cord-348010-m3a3utvz	844	25	infected	infect	VBN
cord-348010-m3a3utvz	844	26	,	,	,
cord-348010-m3a3utvz	844	27	before	before	IN
cord-348010-m3a3utvz	844	28	the	the	DT
cord-348010-m3a3utvz	844	29	epidemic	epidemic	NN
cord-348010-m3a3utvz	844	30	comes	come	VBZ
cord-348010-m3a3utvz	844	31	to	to	IN
cord-348010-m3a3utvz	844	32	an	an	DT
cord-348010-m3a3utvz	844	33	end	end	NN
cord-348010-m3a3utvz	844	34	.	.	.
cord-348010-m3a3utvz	845	1	Note	note	VB
cord-348010-m3a3utvz	845	2	that	that	IN
cord-348010-m3a3utvz	845	3	this	this	DT
cord-348010-m3a3utvz	845	4	consideration	consideration	NN
cord-348010-m3a3utvz	845	5	is	be	VBZ
cord-348010-m3a3utvz	845	6	based	base	VBN
cord-348010-m3a3utvz	845	7	on	on	IN
cord-348010-m3a3utvz	845	8	an	an	DT
cord-348010-m3a3utvz	845	9	assumed	assume	VBN
cord-348010-m3a3utvz	845	10	permanent	permanent	JJ
cord-348010-m3a3utvz	845	11	immunity	immunity	NN
cord-348010-m3a3utvz	845	12	of	of	IN
cord-348010-m3a3utvz	845	13	recovered	recover	VBN
cord-348010-m3a3utvz	845	14	persons	person	NNS
cord-348010-m3a3utvz	845	15	.	.	.
cord-348010-m3a3utvz	846	1	(	(	-LRB-
cord-348010-m3a3utvz	846	2	ii	ii	NN
cord-348010-m3a3utvz	846	3	)	)	-RRB-
cord-348010-m3a3utvz	847	1	(	(	-LRB-
cord-348010-m3a3utvz	847	2	SI	SI	NNP
cord-348010-m3a3utvz	847	3	and	and	CC
cord-348010-m3a3utvz	847	4	SIS	SIS	NNP
cord-348010-m3a3utvz	847	5	models	model	NNS
cord-348010-m3a3utvz	847	6	)	)	-RRB-
cord-348010-m3a3utvz	848	1	These	these	DT
cord-348010-m3a3utvz	848	2	models	model	NNS
cord-348010-m3a3utvz	848	3	have	have	VBP
cord-348010-m3a3utvz	848	4	been	be	VBN
cord-348010-m3a3utvz	848	5	already	already	RB
cord-348010-m3a3utvz	848	6	considered	consider	VBN
cord-348010-m3a3utvz	848	7	in	in	IN
cord-348010-m3a3utvz	848	8	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	848	9	2.2.1	2.2.1	CD
cord-348010-m3a3utvz	848	10	.	.	.
cord-348010-m3a3utvz	849	1	In	in	IN
cord-348010-m3a3utvz	849	2	[	[	-LRB-
cord-348010-m3a3utvz	849	3	18	18	CD
cord-348010-m3a3utvz	849	4	]	]	-RRB-
cord-348010-m3a3utvz	849	5	,	,	,
cord-348010-m3a3utvz	849	6	Chapter	chapter	NN
cord-348010-m3a3utvz	849	7	5.2	5.2	CD
cord-348010-m3a3utvz	849	8	,	,	,
cord-348010-m3a3utvz	849	9	the	the	DT
cord-348010-m3a3utvz	849	10	corresponding	correspond	VBG
cord-348010-m3a3utvz	849	11	system	system	NN
cord-348010-m3a3utvz	849	12	(	(	-LRB-
cord-348010-m3a3utvz	849	13	with	with	IN
cord-348010-m3a3utvz	849	14	=	=	SYM
cord-348010-m3a3utvz	849	15	0	0	NFP
cord-348010-m3a3utvz	849	16	)	)	-RRB-
cord-348010-m3a3utvz	849	17	is	be	VBZ
cord-348010-m3a3utvz	849	18	studied	study	VBN
cord-348010-m3a3utvz	849	19	for	for	IN
cord-348010-m3a3utvz	849	20	the	the	DT
cord-348010-m3a3utvz	849	21	fractions	fraction	NNS
cord-348010-m3a3utvz	849	22	of	of	IN
cord-348010-m3a3utvz	849	23	,	,	,
cord-348010-m3a3utvz	849	24	I	-PRON-	PRP
cord-348010-m3a3utvz	849	25	and	and	CC
cord-348010-m3a3utvz	849	26	,	,	,
cord-348010-m3a3utvz	849	27	named	name	VBN
cord-348010-m3a3utvz	849	28	also	also	RB
cord-348010-m3a3utvz	849	29	by	by	RB
cord-348010-m3a3utvz	849	30	,	,	,
cord-348010-m3a3utvz	849	31	and	and	CC
cord-348010-m3a3utvz	849	32	,	,	,
cord-348010-m3a3utvz	849	33	without	without	IN
cord-348010-m3a3utvz	849	34	transforming	transform	VBG
cord-348010-m3a3utvz	849	35	the	the	DT
cord-348010-m3a3utvz	849	36	time	time	NN
cord-348010-m3a3utvz	849	37	.	.	.
cord-348010-m3a3utvz	850	1	In	in	IN
cord-348010-m3a3utvz	850	2	[	[	-LRB-
cord-348010-m3a3utvz	850	3	28	28	CD
cord-348010-m3a3utvz	850	4	]	]	-RRB-
cord-348010-m3a3utvz	850	5	,	,	,
cord-348010-m3a3utvz	850	6	a	a	DT
cord-348010-m3a3utvz	850	7	SIR	SIR	NNP
cord-348010-m3a3utvz	850	8	model	model	NN
cord-348010-m3a3utvz	850	9	is	be	VBZ
cord-348010-m3a3utvz	850	10	investigated	investigate	VBN
cord-348010-m3a3utvz	850	11	in	in	IN
cord-348010-m3a3utvz	850	12	detail	detail	NN
cord-348010-m3a3utvz	850	13	,	,	,
cord-348010-m3a3utvz	850	14	analytically	analytically	RB
cord-348010-m3a3utvz	850	15	as	as	RB
cord-348010-m3a3utvz	850	16	well	well	RB
cord-348010-m3a3utvz	850	17	as	as	IN
cord-348010-m3a3utvz	850	18	numerically	numerically	RB
cord-348010-m3a3utvz	850	19	.	.	.
cord-348010-m3a3utvz	851	1	Now	now	RB
cord-348010-m3a3utvz	851	2	,	,	,
cord-348010-m3a3utvz	851	3	we	-PRON-	PRP
cord-348010-m3a3utvz	851	4	want	want	VBP
cord-348010-m3a3utvz	851	5	to	to	TO
cord-348010-m3a3utvz	851	6	study	study	VB
cord-348010-m3a3utvz	851	7	how	how	WRB
cord-348010-m3a3utvz	851	8	important	important	JJ
cord-348010-m3a3utvz	851	9	dimensionless	dimensionless	JJ
cord-348010-m3a3utvz	851	10	numbers	number	NNS
cord-348010-m3a3utvz	851	11	influence	influence	VBP
cord-348010-m3a3utvz	851	12	the	the	DT
cord-348010-m3a3utvz	851	13	infection	infection	NN
cord-348010-m3a3utvz	851	14	course	course	NN
cord-348010-m3a3utvz	851	15	in	in	IN
cord-348010-m3a3utvz	851	16	the	the	DT
cord-348010-m3a3utvz	851	17	case	case	NN
cord-348010-m3a3utvz	851	18	of	of	IN
cord-348010-m3a3utvz	851	19	more	more	JJR
cord-348010-m3a3utvz	851	20	complex	complex	JJ
cord-348010-m3a3utvz	851	21	models	model	NNS
cord-348010-m3a3utvz	851	22	.	.	.
cord-348010-m3a3utvz	852	1	In	in	IN
cord-348010-m3a3utvz	852	2	[	[	-LRB-
cord-348010-m3a3utvz	852	3	27	27	CD
cord-348010-m3a3utvz	852	4	]	]	-RRB-
cord-348010-m3a3utvz	852	5	,	,	,
cord-348010-m3a3utvz	852	6	a	a	DT
cord-348010-m3a3utvz	852	7	special	special	JJ
cord-348010-m3a3utvz	852	8	SEIR	seir	NN
cord-348010-m3a3utvz	852	9	1	1	CD
cord-348010-m3a3utvz	852	10	R	r	NN
cord-348010-m3a3utvz	852	11	2	2	CD
cord-348010-m3a3utvz	852	12	model	model	NN
cord-348010-m3a3utvz	852	13	has	have	VBZ
cord-348010-m3a3utvz	852	14	been	be	VBN
cord-348010-m3a3utvz	852	15	investigated	investigate	VBN
cord-348010-m3a3utvz	852	16	,	,	,
cord-348010-m3a3utvz	852	17	addressing	address	VBG
cord-348010-m3a3utvz	852	18	the	the	DT
cord-348010-m3a3utvz	852	19	begin	begin	NN
cord-348010-m3a3utvz	852	20	of	of	IN
cord-348010-m3a3utvz	852	21	the	the	DT
cord-348010-m3a3utvz	852	22	SARS	SARS	NNP
cord-348010-m3a3utvz	852	23	-	-	HYPH
cord-348010-m3a3utvz	852	24	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	852	25	epidemic	epidemic	NN
cord-348010-m3a3utvz	852	26	in	in	IN
cord-348010-m3a3utvz	852	27	France	France	NNP
cord-348010-m3a3utvz	852	28	.	.	.
cord-348010-m3a3utvz	853	1	To	to	TO
cord-348010-m3a3utvz	853	2	focus	focus	VB
cord-348010-m3a3utvz	853	3	on	on	IN
cord-348010-m3a3utvz	853	4	main	main	JJ
cord-348010-m3a3utvz	853	5	items	item	NNS
cord-348010-m3a3utvz	853	6	,	,	,
cord-348010-m3a3utvz	853	7	we	-PRON-	PRP
cord-348010-m3a3utvz	853	8	deal	deal	VBP
cord-348010-m3a3utvz	853	9	at	at	IN
cord-348010-m3a3utvz	853	10	first	first	RB
cord-348010-m3a3utvz	853	11	with	with	IN
cord-348010-m3a3utvz	853	12	the	the	DT
cord-348010-m3a3utvz	853	13	following	follow	VBG
cord-348010-m3a3utvz	853	14	SEIR	SEIR	NNP
cord-348010-m3a3utvz	853	15	model	model	NN
cord-348010-m3a3utvz	853	16	.	.	.
cord-348010-m3a3utvz	854	1	(	(	-LRB-
cord-348010-m3a3utvz	854	2	4.93	4.93	CD
cord-348010-m3a3utvz	854	3	)	)	-RRB-
cord-348010-m3a3utvz	855	1	For	for	IN
cord-348010-m3a3utvz	855	2	a	a	DT
cord-348010-m3a3utvz	855	3	better	well	JJR
cord-348010-m3a3utvz	855	4	overview	overview	NN
cord-348010-m3a3utvz	855	5	we	-PRON-	PRP
cord-348010-m3a3utvz	855	6	drop	drop	VBP
cord-348010-m3a3utvz	855	7	a	a	DT
cord-348010-m3a3utvz	855	8	possible	possible	JJ
cord-348010-m3a3utvz	855	9	loss	loss	NN
cord-348010-m3a3utvz	855	10	of	of	IN
cord-348010-m3a3utvz	855	11	immunity	immunity	NN
cord-348010-m3a3utvz	855	12	and	and	CC
cord-348010-m3a3utvz	855	13	vaccination	vaccination	NN
cord-348010-m3a3utvz	855	14	.	.	.
cord-348010-m3a3utvz	856	1	Besides	besides	RB
cord-348010-m3a3utvz	856	2	,	,	,
cord-348010-m3a3utvz	856	3	infection	infection	NN
cord-348010-m3a3utvz	856	4	-	-	HYPH
cord-348010-m3a3utvz	856	5	related	relate	VBN
cord-348010-m3a3utvz	856	6	deaths	death	NNS
cord-348010-m3a3utvz	856	7	are	be	VBP
cord-348010-m3a3utvz	856	8	included	include	VBN
cord-348010-m3a3utvz	856	9	in	in	IN
cord-348010-m3a3utvz	856	10	.	.	.
cord-348010-m3a3utvz	857	1	If	if	IN
cord-348010-m3a3utvz	857	2	necessary	necessary	JJ
cord-348010-m3a3utvz	857	3	,	,	,
cord-348010-m3a3utvz	857	4	these	these	DT
cord-348010-m3a3utvz	857	5	items	item	NNS
cord-348010-m3a3utvz	857	6	can	can	MD
cord-348010-m3a3utvz	857	7	be	be	VB
cord-348010-m3a3utvz	857	8	added	add	VBN
cord-348010-m3a3utvz	857	9	without	without	IN
cord-348010-m3a3utvz	857	10	any	any	DT
cord-348010-m3a3utvz	857	11	special	special	JJ
cord-348010-m3a3utvz	857	12	effort	effort	NN
cord-348010-m3a3utvz	857	13	.	.	.
cord-348010-m3a3utvz	858	1	Obviously	obviously	RB
cord-348010-m3a3utvz	858	2	,	,	,
cord-348010-m3a3utvz	858	3	the	the	DT
cord-348010-m3a3utvz	858	4	system	system	NN
cord-348010-m3a3utvz	858	5	(	(	-LRB-
cord-348010-m3a3utvz	858	6	4.88)-(4.91	4.88)-(4.91	CD
cord-348010-m3a3utvz	858	7	)	)	-RRB-
cord-348010-m3a3utvz	858	8	is	be	VBZ
cord-348010-m3a3utvz	858	9	a	a	DT
cord-348010-m3a3utvz	858	10	simplification	simplification	NN
cord-348010-m3a3utvz	858	11	of	of	IN
cord-348010-m3a3utvz	858	12	(	(	-LRB-
cord-348010-m3a3utvz	858	13	4.6)-(4.12	4.6)-(4.12	CD
cord-348010-m3a3utvz	858	14	)	)	-RRB-
cord-348010-m3a3utvz	858	15	.	.	.
cord-348010-m3a3utvz	859	1	We	-PRON-	PRP
cord-348010-m3a3utvz	859	2	set	set	VBD
cord-348010-m3a3utvz	859	3	the	the	DT
cord-348010-m3a3utvz	859	4	initial	initial	JJ
cord-348010-m3a3utvz	859	5	conditions	condition	NNS
cord-348010-m3a3utvz	859	6	as	as	IN
cord-348010-m3a3utvz	859	7	in	in	IN
cord-348010-m3a3utvz	859	8	(	(	-LRB-
cord-348010-m3a3utvz	859	9	4.16)-(4.21	4.16)-(4.21	CD
cord-348010-m3a3utvz	859	10	)	)	-RRB-
cord-348010-m3a3utvz	859	11	and	and	CC
cord-348010-m3a3utvz	859	12	the	the	DT
cord-348010-m3a3utvz	859	13	condition	condition	NN
cord-348010-m3a3utvz	859	14	(	(	-LRB-
cord-348010-m3a3utvz	859	15	4.23	4.23	CD
cord-348010-m3a3utvz	859	16	)	)	-RRB-
cord-348010-m3a3utvz	859	17	with	with	IN
cord-348010-m3a3utvz	859	18	0	0	CD
cord-348010-m3a3utvz	859	19	=	=	SYM
cord-348010-m3a3utvz	859	20	0	0	CD
cord-348010-m3a3utvz	859	21	.	.	.
cord-348010-m3a3utvz	860	1	To	to	TO
cord-348010-m3a3utvz	860	2	avoid	avoid	VB
cord-348010-m3a3utvz	860	3	trivial	trivial	JJ
cord-348010-m3a3utvz	860	4	cases	case	NNS
cord-348010-m3a3utvz	860	5	,	,	,
cord-348010-m3a3utvz	860	6	we	-PRON-	PRP
cord-348010-m3a3utvz	860	7	assume	assume	VBP
cord-348010-m3a3utvz	860	8	0	0	CD
cord-348010-m3a3utvz	860	9	+	+	SYM
cord-348010-m3a3utvz	860	10	0	0	CD
cord-348010-m3a3utvz	861	1	>	>	XX
cord-348010-m3a3utvz	861	2	0	0	NFP
cord-348010-m3a3utvz	861	3	.	.	.
cord-348010-m3a3utvz	862	1	Thus	thus	RB
cord-348010-m3a3utvz	862	2	,	,	,
cord-348010-m3a3utvz	862	3	for	for	IN
cord-348010-m3a3utvz	862	4	>	>	NN
cord-348010-m3a3utvz	862	5	1	1	CD
cord-348010-m3a3utvz	862	6	,	,	,
cord-348010-m3a3utvz	862	7	0	0	CD
cord-348010-m3a3utvz	862	8	+	+	SYM
cord-348010-m3a3utvz	862	9	0	0	CD
cord-348010-m3a3utvz	862	10	+	+	SYM
cord-348010-m3a3utvz	862	11	0	0	CD
cord-348010-m3a3utvz	862	12	≪	≪	CD
cord-348010-m3a3utvz	862	13	1	1	CD
cord-348010-m3a3utvz	862	14	,	,	,
cord-348010-m3a3utvz	862	15	(	(	-LRB-
cord-348010-m3a3utvz	862	16	4.96	4.96	CD
cord-348010-m3a3utvz	862	17	)	)	-RRB-
cord-348010-m3a3utvz	862	18	the	the	DT
cord-348010-m3a3utvz	862	19	sum	sum	NN
cord-348010-m3a3utvz	862	20	+	+	SYM
cord-348010-m3a3utvz	862	21	grows	grow	VBZ
cord-348010-m3a3utvz	862	22	up	up	RP
cord-348010-m3a3utvz	862	23	so	so	RB
cord-348010-m3a3utvz	862	24	long	long	RB
cord-348010-m3a3utvz	862	25	as	as	IN
cord-348010-m3a3utvz	862	26	=	=	XX
cord-348010-m3a3utvz	862	27	>	>	XX
cord-348010-m3a3utvz	863	1	1	1	CD
cord-348010-m3a3utvz	863	2	,	,	,
cord-348010-m3a3utvz	863	3	or	or	CC
cord-348010-m3a3utvz	863	4	,	,	,
cord-348010-m3a3utvz	863	5	equivalently	equivalently	RB
cord-348010-m3a3utvz	863	6	>	>	XX
cord-348010-m3a3utvz	864	1	∶=	∶=	CD
cord-348010-m3a3utvz	864	2	1	1	CD
cord-348010-m3a3utvz	864	3	∕	∕	CD
cord-348010-m3a3utvz	864	4	.	.	.
cord-348010-m3a3utvz	865	1	The	the	DT
cord-348010-m3a3utvz	865	2	growing	grow	VBG
cord-348010-m3a3utvz	865	3	sum	sum	NN
cord-348010-m3a3utvz	866	1	+	+	CC
cord-348010-m3a3utvz	866	2	allows	allow	VBZ
cord-348010-m3a3utvz	866	3	three	three	CD
cord-348010-m3a3utvz	866	4	cases	case	NNS
cord-348010-m3a3utvz	866	5	:	:	:
cord-348010-m3a3utvz	866	6	(	(	-LRB-
cord-348010-m3a3utvz	866	7	i	i	NN
cord-348010-m3a3utvz	866	8	)	)	-RRB-
cord-348010-m3a3utvz	866	9	and	and	CC
cord-348010-m3a3utvz	866	10	grow	grow	VB
cord-348010-m3a3utvz	866	11	,	,	,
cord-348010-m3a3utvz	866	12	(	(	-LRB-
cord-348010-m3a3utvz	866	13	ii	ii	NN
cord-348010-m3a3utvz	866	14	)	)	-RRB-
cord-348010-m3a3utvz	866	15	grows	grow	VBZ
cord-348010-m3a3utvz	866	16	,	,	,
cord-348010-m3a3utvz	866	17	decreases	decrease	VBZ
cord-348010-m3a3utvz	866	18	,	,	,
cord-348010-m3a3utvz	866	19	(	(	-LRB-
cord-348010-m3a3utvz	866	20	iii	iii	NN
cord-348010-m3a3utvz	866	21	)	)	-RRB-
cord-348010-m3a3utvz	866	22	decreases	decrease	VBZ
cord-348010-m3a3utvz	866	23	,	,	,
cord-348010-m3a3utvz	866	24	grows	grow	VBZ
cord-348010-m3a3utvz	866	25	.	.	.
cord-348010-m3a3utvz	867	1	These	these	DT
cord-348010-m3a3utvz	867	2	cases	case	NNS
cord-348010-m3a3utvz	867	3	are	be	VBP
cord-348010-m3a3utvz	867	4	determined	determine	VBN
cord-348010-m3a3utvz	867	5	by	by	IN
cord-348010-m3a3utvz	867	6	the	the	DT
cord-348010-m3a3utvz	867	7	initial	initial	JJ
cord-348010-m3a3utvz	867	8	conditions	condition	NNS
cord-348010-m3a3utvz	867	9	for	for	IN
cord-348010-m3a3utvz	867	10	and	and	CC
cord-348010-m3a3utvz	867	11	.	.	.
cord-348010-m3a3utvz	868	1	Let	let	VB
cord-348010-m3a3utvz	868	2	be	be	VB
cord-348010-m3a3utvz	868	3	0	0	NFP
cord-348010-m3a3utvz	868	4	>	>	XX
cord-348010-m3a3utvz	868	5	0	0	NFP
cord-348010-m3a3utvz	868	6	.	.	.
cord-348010-m3a3utvz	869	1	Then	then	RB
cord-348010-m3a3utvz	869	2	,	,	,
cord-348010-m3a3utvz	869	3	due	due	IN
cord-348010-m3a3utvz	869	4	to	to	IN
cord-348010-m3a3utvz	869	5	Theorem	theorem	NN
cord-348010-m3a3utvz	869	6	4.3	4.3	CD
cord-348010-m3a3utvz	869	7	,	,	,
cord-348010-m3a3utvz	869	8	>	>	XX
cord-348010-m3a3utvz	869	9	0	0	CD
cord-348010-m3a3utvz	869	10	for	for	IN
cord-348010-m3a3utvz	869	11	all	all	DT
cord-348010-m3a3utvz	869	12	time	time	NN
cord-348010-m3a3utvz	869	13	.	.	.
cord-348010-m3a3utvz	870	1	Hence	hence	RB
cord-348010-m3a3utvz	870	2	,	,	,
cord-348010-m3a3utvz	870	3	we	-PRON-	PRP
cord-348010-m3a3utvz	870	4	can	can	MD
cord-348010-m3a3utvz	870	5	re	re	VB
cord-348010-m3a3utvz	870	6	-	-	VB
cord-348010-m3a3utvz	870	7	write	write	VB
cord-348010-m3a3utvz	871	1	the	the	DT
cord-348010-m3a3utvz	871	2	equations	equation	NNS
cord-348010-m3a3utvz	871	3	(	(	-LRB-
cord-348010-m3a3utvz	871	4	4.89	4.89	CD
cord-348010-m3a3utvz	871	5	)	)	-RRB-
cord-348010-m3a3utvz	871	6	and	and	CC
cord-348010-m3a3utvz	871	7	(	(	-LRB-
cord-348010-m3a3utvz	871	8	4	4	CD
cord-348010-m3a3utvz	871	9	.	.	.
cord-348010-m3a3utvz	871	10	The	the	DT
cord-348010-m3a3utvz	871	11	initial	initial	JJ
cord-348010-m3a3utvz	871	12	value	value	NN
cord-348010-m3a3utvz	871	13	0∕	0∕	CD
cord-348010-m3a3utvz	871	14	0	0	CD
cord-348010-m3a3utvz	871	15	of	of	IN
cord-348010-m3a3utvz	871	16	the	the	DT
cord-348010-m3a3utvz	871	17	ratio	ratio	NN
cord-348010-m3a3utvz	871	18	∕	∕	CD
cord-348010-m3a3utvz	871	19	determines	determine	VBZ
cord-348010-m3a3utvz	871	20	the	the	DT
cord-348010-m3a3utvz	871	21	begin	begin	NN
cord-348010-m3a3utvz	871	22	of	of	IN
cord-348010-m3a3utvz	871	23	the	the	DT
cord-348010-m3a3utvz	871	24	evolution	evolution	NN
cord-348010-m3a3utvz	871	25	of	of	IN
cord-348010-m3a3utvz	871	26	and	and	CC
cord-348010-m3a3utvz	871	27	.	.	.
cord-348010-m3a3utvz	872	1	If	if	IN
cord-348010-m3a3utvz	872	2	1	1	CD
cord-348010-m3a3utvz	872	3	<	<	XX
cord-348010-m3a3utvz	872	4	0	0	CD
cord-348010-m3a3utvz	872	5	0	0	NFP
cord-348010-m3a3utvz	872	6	<	<	XX
cord-348010-m3a3utvz	872	7	,	,	,
cord-348010-m3a3utvz	872	8	(	(	-LRB-
cord-348010-m3a3utvz	872	9	4.100	4.100	CD
cord-348010-m3a3utvz	872	10	)	)	-RRB-
cord-348010-m3a3utvz	872	11	then	then	RB
cord-348010-m3a3utvz	872	12	at	at	IN
cord-348010-m3a3utvz	872	13	least	least	JJS
cord-348010-m3a3utvz	872	14	for	for	IN
cord-348010-m3a3utvz	872	15	some	some	DT
cord-348010-m3a3utvz	872	16	time	time	NN
cord-348010-m3a3utvz	872	17	after	after	IN
cord-348010-m3a3utvz	872	18	beginning	begin	VBG
cord-348010-m3a3utvz	872	19	both	both	DT
cord-348010-m3a3utvz	872	20	functions	function	NNS
cord-348010-m3a3utvz	872	21	and	and	CC
cord-348010-m3a3utvz	872	22	grow	grow	VB
cord-348010-m3a3utvz	872	23	.	.	.
cord-348010-m3a3utvz	873	1	The	the	DT
cord-348010-m3a3utvz	873	2	limit	limit	NN
cord-348010-m3a3utvz	873	3	of	of	IN
cord-348010-m3a3utvz	873	4	∕	∕	JJ
cord-348010-m3a3utvz	873	5	is	be	VBZ
cord-348010-m3a3utvz	873	6	1	1	CD
cord-348010-m3a3utvz	873	7	∕̃	∕̃	CD
cord-348010-m3a3utvz	873	8	,	,	,
cord-348010-m3a3utvz	873	9	or	or	CC
cord-348010-m3a3utvz	873	10	,	,	,
cord-348010-m3a3utvz	873	11	in	in	IN
cord-348010-m3a3utvz	873	12	other	other	JJ
cord-348010-m3a3utvz	873	13	words	word	NNS
cord-348010-m3a3utvz	873	14	,	,	,
cord-348010-m3a3utvz	873	15	there	there	EX
cord-348010-m3a3utvz	873	16	holds	hold	VBZ
cord-348010-m3a3utvz	873	17	→	→	SYM
cord-348010-m3a3utvz	873	18	1	1	CD
cord-348010-m3a3utvz	873	19	=	=	SYM
cord-348010-m3a3utvz	873	20	.	.	.
cord-348010-m3a3utvz	874	1	(	(	-LRB-
cord-348010-m3a3utvz	874	2	4.101	4.101	CD
cord-348010-m3a3utvz	874	3	)	)	-RRB-
cord-348010-m3a3utvz	875	1	The	the	DT
cord-348010-m3a3utvz	875	2	remaining	remain	VBG
cord-348010-m3a3utvz	875	3	cases	case	NNS
cord-348010-m3a3utvz	875	4	0	0	CD
cord-348010-m3a3utvz	875	5	0	0	CD
cord-348010-m3a3utvz	876	1	<	<	XX
cord-348010-m3a3utvz	876	2	1	1	CD
cord-348010-m3a3utvz	876	3	<	<	XX
cord-348010-m3a3utvz	876	4	,	,	,
cord-348010-m3a3utvz	876	5	and	and	CC
cord-348010-m3a3utvz	876	6	1	1	CD
cord-348010-m3a3utvz	876	7	<	<	XX
cord-348010-m3a3utvz	876	8	<	<	XX
cord-348010-m3a3utvz	876	9	0	0	CD
cord-348010-m3a3utvz	876	10	0	0	CD
cord-348010-m3a3utvz	876	11	(	(	-LRB-
cord-348010-m3a3utvz	876	12	4.102	4.102	CD
cord-348010-m3a3utvz	876	13	)	)	-RRB-
cord-348010-m3a3utvz	876	14	imply	imply	VB
cord-348010-m3a3utvz	876	15	a	a	DT
cord-348010-m3a3utvz	876	16	growing	growing	NN
cord-348010-m3a3utvz	876	17	and	and	CC
cord-348010-m3a3utvz	876	18	a	a	DT
cord-348010-m3a3utvz	876	19	decreasing	decreasing	NN
cord-348010-m3a3utvz	876	20	and	and	CC
cord-348010-m3a3utvz	876	21	a	a	DT
cord-348010-m3a3utvz	876	22	decreasing	decreasing	NN
cord-348010-m3a3utvz	876	23	and	and	CC
cord-348010-m3a3utvz	876	24	a	a	DT
cord-348010-m3a3utvz	876	25	growing	growing	NN
cord-348010-m3a3utvz	876	26	,	,	,
cord-348010-m3a3utvz	876	27	respectively	respectively	RB
cord-348010-m3a3utvz	876	28	,	,	,
cord-348010-m3a3utvz	876	29	at	at	IN
cord-348010-m3a3utvz	876	30	least	least	JJS
cord-348010-m3a3utvz	876	31	for	for	IN
cord-348010-m3a3utvz	876	32	some	some	DT
cord-348010-m3a3utvz	876	33	time	time	NN
cord-348010-m3a3utvz	876	34	.	.	.
cord-348010-m3a3utvz	877	1	Additionally	additionally	RB
cord-348010-m3a3utvz	877	2	,	,	,
cord-348010-m3a3utvz	877	3	for	for	IN
cord-348010-m3a3utvz	877	4	these	these	DT
cord-348010-m3a3utvz	877	5	cases	case	NNS
cord-348010-m3a3utvz	877	6	the	the	DT
cord-348010-m3a3utvz	877	7	relation	relation	NN
cord-348010-m3a3utvz	877	8	(	(	-LRB-
cord-348010-m3a3utvz	877	9	4.101	4.101	CD
cord-348010-m3a3utvz	877	10	)	)	-RRB-
cord-348010-m3a3utvz	877	11	remains	remain	VBZ
cord-348010-m3a3utvz	877	12	to	to	TO
cord-348010-m3a3utvz	877	13	hold	hold	VB
cord-348010-m3a3utvz	877	14	.	.	.
cord-348010-m3a3utvz	878	1	The	the	DT
cord-348010-m3a3utvz	878	2	case	case	NN
cord-348010-m3a3utvz	878	3	0	0	NFP
cord-348010-m3a3utvz	878	4	>	>	XX
cord-348010-m3a3utvz	878	5	0	0	NFP
cord-348010-m3a3utvz	878	6	can	can	MD
cord-348010-m3a3utvz	878	7	be	be	VB
cord-348010-m3a3utvz	878	8	dealt	deal	VBN
cord-348010-m3a3utvz	878	9	with	with	IN
cord-348010-m3a3utvz	878	10	analogously	analogously	RB
cord-348010-m3a3utvz	878	11	,	,	,
cord-348010-m3a3utvz	878	12	re	re	NN
cord-348010-m3a3utvz	878	13	-	-	NN
cord-348010-m3a3utvz	878	14	writing	writing	NN
cord-348010-m3a3utvz	878	15	(	(	-LRB-
cord-348010-m3a3utvz	878	16	4.89	4.89	CD
cord-348010-m3a3utvz	878	17	)	)	-RRB-
cord-348010-m3a3utvz	878	18	and	and	CC
cord-348010-m3a3utvz	878	19	(	(	-LRB-
cord-348010-m3a3utvz	878	20	4.90	4.90	CD
cord-348010-m3a3utvz	878	21	)	)	-RRB-
cord-348010-m3a3utvz	878	22	in	in	IN
cord-348010-m3a3utvz	878	23	the	the	DT
cord-348010-m3a3utvz	878	24	following	following	JJ
cord-348010-m3a3utvz	878	25	way	way	NN
cord-348010-m3a3utvz	878	26	.	.	.
cord-348010-m3a3utvz	879	1	And	and	CC
cord-348010-m3a3utvz	879	2	,	,	,
cord-348010-m3a3utvz	879	3	finally	finally	RB
cord-348010-m3a3utvz	879	4	,	,	,
cord-348010-m3a3utvz	879	5	the	the	DT
cord-348010-m3a3utvz	879	6	asymptotic	asymptotic	JJ
cord-348010-m3a3utvz	879	7	behaviour	behaviour	NN
cord-348010-m3a3utvz	879	8	of	of	IN
cord-348010-m3a3utvz	879	9	∕	∕	JJ
cord-348010-m3a3utvz	879	10	is	be	VBZ
cord-348010-m3a3utvz	879	11	given	give	VBN
cord-348010-m3a3utvz	879	12	by	by	IN
cord-348010-m3a3utvz	879	13	→̃=	→̃=	NN
cord-348010-m3a3utvz	879	14	.	.	.
cord-348010-m3a3utvz	880	1	(	(	-LRB-
cord-348010-m3a3utvz	880	2	4.105	4.105	CD
cord-348010-m3a3utvz	880	3	)	)	-RRB-
cord-348010-m3a3utvz	881	1	Clearly	clearly	RB
cord-348010-m3a3utvz	881	2	,	,	,
cord-348010-m3a3utvz	881	3	this	this	DT
cord-348010-m3a3utvz	881	4	is	be	VBZ
cord-348010-m3a3utvz	881	5	equivalent	equivalent	JJ
cord-348010-m3a3utvz	881	6	to	to	IN
cord-348010-m3a3utvz	881	7	(	(	-LRB-
cord-348010-m3a3utvz	881	8	4.101	4.101	CD
cord-348010-m3a3utvz	881	9	)	)	-RRB-
cord-348010-m3a3utvz	881	10	.	.	.
cord-348010-m3a3utvz	882	1	Obviously	obviously	RB
cord-348010-m3a3utvz	882	2	,	,	,
cord-348010-m3a3utvz	882	3	for	for	IN
cord-348010-m3a3utvz	882	4	≤	≤	NNP
cord-348010-m3a3utvz	882	5	1	1	CD
cord-348010-m3a3utvz	882	6	,	,	,
cord-348010-m3a3utvz	882	7	the	the	DT
cord-348010-m3a3utvz	882	8	sum	sum	NN
cord-348010-m3a3utvz	882	9	+	+	SYM
cord-348010-m3a3utvz	882	10	can	can	MD
cord-348010-m3a3utvz	882	11	not	not	RB
cord-348010-m3a3utvz	882	12	grow	grow	VB
cord-348010-m3a3utvz	882	13	,	,	,
cord-348010-m3a3utvz	882	14	and	and	CC
cord-348010-m3a3utvz	882	15	the	the	DT
cord-348010-m3a3utvz	882	16	infection	infection	NN
cord-348010-m3a3utvz	882	17	so	so	RB
cord-348010-m3a3utvz	882	18	does	do	VBZ
cord-348010-m3a3utvz	882	19	.	.	.
cord-348010-m3a3utvz	883	1	Depending	depend	VBG
cord-348010-m3a3utvz	883	2	on	on	IN
cord-348010-m3a3utvz	883	3	initial	initial	JJ
cord-348010-m3a3utvz	883	4	values	value	NNS
cord-348010-m3a3utvz	883	5	0	0	NFP
cord-348010-m3a3utvz	883	6	and	and	CC
cord-348010-m3a3utvz	883	7	0	0	CD
cord-348010-m3a3utvz	883	8	,	,	,
cord-348010-m3a3utvz	883	9	one	one	CD
cord-348010-m3a3utvz	883	10	of	of	IN
cord-348010-m3a3utvz	883	11	these	these	DT
cord-348010-m3a3utvz	883	12	two	two	CD
cord-348010-m3a3utvz	883	13	functions	function	NNS
cord-348010-m3a3utvz	883	14	can	can	MD
cord-348010-m3a3utvz	883	15	grow	grow	VB
cord-348010-m3a3utvz	883	16	for	for	IN
cord-348010-m3a3utvz	883	17	short	short	JJ
cord-348010-m3a3utvz	883	18	time	time	NN
cord-348010-m3a3utvz	883	19	.	.	.
cord-348010-m3a3utvz	883	20	 	 	_SP
cord-348010-m3a3utvz	884	1	Finally	finally	RB
cord-348010-m3a3utvz	884	2	,	,	,
cord-348010-m3a3utvz	884	3	we	-PRON-	PRP
cord-348010-m3a3utvz	884	4	want	want	VBP
cord-348010-m3a3utvz	884	5	to	to	TO
cord-348010-m3a3utvz	884	6	deal	deal	VB
cord-348010-m3a3utvz	884	7	with	with	IN
cord-348010-m3a3utvz	884	8	complex	complex	JJ
cord-348010-m3a3utvz	884	9	models	model	NNS
cord-348010-m3a3utvz	884	10	of	of	IN
cord-348010-m3a3utvz	884	11	SEI	SEI	NNP
cord-348010-m3a3utvz	884	12	3	3	CD
cord-348010-m3a3utvz	884	13	R	r	NN
cord-348010-m3a3utvz	884	14	kind	kind	NN
cord-348010-m3a3utvz	884	15	.	.	.
cord-348010-m3a3utvz	885	1	In	in	IN
cord-348010-m3a3utvz	885	2	order	order	NN
cord-348010-m3a3utvz	885	3	to	to	TO
cord-348010-m3a3utvz	885	4	focus	focus	VB
cord-348010-m3a3utvz	885	5	,	,	,
cord-348010-m3a3utvz	885	6	at	at	IN
cord-348010-m3a3utvz	885	7	first	first	RB
cord-348010-m3a3utvz	885	8	we	-PRON-	PRP
cord-348010-m3a3utvz	885	9	drop	drop	VBP
cord-348010-m3a3utvz	885	10	,	,	,
cord-348010-m3a3utvz	885	11	loss	loss	NN
cord-348010-m3a3utvz	885	12	of	of	IN
cord-348010-m3a3utvz	885	13	immunity	immunity	NN
cord-348010-m3a3utvz	885	14	and	and	CC
cord-348010-m3a3utvz	885	15	vaccination	vaccination	NN
cord-348010-m3a3utvz	885	16	within	within	IN
cord-348010-m3a3utvz	885	17	the	the	DT
cord-348010-m3a3utvz	885	18	SEI	SEI	NNP
cord-348010-m3a3utvz	885	19	3	3	CD
cord-348010-m3a3utvz	885	20	RSD	RSD	NNP
cord-348010-m3a3utvz	885	21	model	model	NN
cord-348010-m3a3utvz	885	22	presented	present	VBN
cord-348010-m3a3utvz	885	23	above	above	RB
cord-348010-m3a3utvz	885	24	in	in	IN
cord-348010-m3a3utvz	885	25	Section	section	NN
cord-348010-m3a3utvz	885	26	3	3	CD
cord-348010-m3a3utvz	885	27	and	and	CC
cord-348010-m3a3utvz	885	28	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	885	29	4.1	4.1	CD
cord-348010-m3a3utvz	885	30	.	.	.
cord-348010-m3a3utvz	886	1	Neglecting	neglect	VBG
cord-348010-m3a3utvz	886	2	and	and	CC
cord-348010-m3a3utvz	886	3	taking	take	VBG
cord-348010-m3a3utvz	886	4	1	1	CD
cord-348010-m3a3utvz	886	5	=	=	NFP
cord-348010-m3a3utvz	887	1	+	+	CC
cord-348010-m3a3utvz	888	1	+	+	CC
cord-348010-m3a3utvz	888	2	1	1	CD
cord-348010-m3a3utvz	888	3	+	+	SYM
cord-348010-m3a3utvz	888	4	21	21	CD
cord-348010-m3a3utvz	888	5	+	+	SYM
cord-348010-m3a3utvz	888	6	22	22	CD
cord-348010-m3a3utvz	888	7	+	+	CC
cord-348010-m3a3utvz	888	8	into	into	IN
cord-348010-m3a3utvz	888	9	account	account	NN
cord-348010-m3a3utvz	888	10	,	,	,
cord-348010-m3a3utvz	888	11	we	-PRON-	PRP
cord-348010-m3a3utvz	888	12	obtain	obtain	VBP
cord-348010-m3a3utvz	888	13	from	from	IN
cord-348010-m3a3utvz	888	14	(	(	-LRB-
cord-348010-m3a3utvz	888	15	4.6)-(4.11	4.6)-(4.11	CD
cord-348010-m3a3utvz	888	16	)	)	-RRB-
cord-348010-m3a3utvz	888	17	:	:	:
cord-348010-m3a3utvz	888	18	The	the	DT
cord-348010-m3a3utvz	888	19	definition	definition	NN
cord-348010-m3a3utvz	888	20	of	of	IN
cord-348010-m3a3utvz	888	21	parameters	parameter	NNS
cord-348010-m3a3utvz	888	22	as	as	RB
cord-348010-m3a3utvz	888	23	well	well	RB
cord-348010-m3a3utvz	888	24	as	as	IN
cord-348010-m3a3utvz	888	25	the	the	DT
cord-348010-m3a3utvz	888	26	initial	initial	JJ
cord-348010-m3a3utvz	888	27	conditions	condition	NNS
cord-348010-m3a3utvz	888	28	(	(	-LRB-
cord-348010-m3a3utvz	888	29	with	with	IN
cord-348010-m3a3utvz	888	30	0	0	CD
cord-348010-m3a3utvz	888	31	=	=	SYM
cord-348010-m3a3utvz	888	32	0	0	NFP
cord-348010-m3a3utvz	888	33	)	)	-RRB-
cord-348010-m3a3utvz	888	34	are	be	VBP
cord-348010-m3a3utvz	888	35	given	give	VBN
cord-348010-m3a3utvz	888	36	as	as	IN
cord-348010-m3a3utvz	888	37	in	in	IN
cord-348010-m3a3utvz	888	38	Subsection	subsection	NN
cord-348010-m3a3utvz	888	39	4.1	4.1	CD
cord-348010-m3a3utvz	888	40	.	.	.
cord-348010-m3a3utvz	889	1	Contrary	contrary	JJ
cord-348010-m3a3utvz	889	2	to	to	IN
cord-348010-m3a3utvz	889	3	the	the	DT
cord-348010-m3a3utvz	889	4	previous	previous	JJ
cord-348010-m3a3utvz	889	5	models	model	NNS
cord-348010-m3a3utvz	889	6	above	above	RB
cord-348010-m3a3utvz	889	7	,	,	,
cord-348010-m3a3utvz	889	8	it	-PRON-	PRP
cord-348010-m3a3utvz	889	9	is	be	VBZ
cord-348010-m3a3utvz	889	10	not	not	RB
cord-348010-m3a3utvz	889	11	clear	clear	JJ
cord-348010-m3a3utvz	889	12	,	,	,
cord-348010-m3a3utvz	889	13	where	where	WRB
cord-348010-m3a3utvz	889	14	in	in	IN
cord-348010-m3a3utvz	889	15	the	the	DT
cord-348010-m3a3utvz	889	16	equations	equation	NNS
cord-348010-m3a3utvz	889	17	contact	contact	NN
cord-348010-m3a3utvz	889	18	and	and	CC
cord-348010-m3a3utvz	889	19	replacement	replacement	NN
cord-348010-m3a3utvz	889	20	numbers	number	NNS
cord-348010-m3a3utvz	889	21	occur	occur	VBP
cord-348010-m3a3utvz	889	22	.	.	.
cord-348010-m3a3utvz	890	1	Based	base	VBN
cord-348010-m3a3utvz	890	2	on	on	IN
cord-348010-m3a3utvz	890	3	definitions	definition	NNS
cord-348010-m3a3utvz	890	4	in	in	IN
cord-348010-m3a3utvz	890	5	Paragraph	Paragraph	NNP
cord-348010-m3a3utvz	890	6	2.2.2	2.2.2	CD
cord-348010-m3a3utvz	890	7	and	and	CC
cord-348010-m3a3utvz	890	8	in	in	IN
cord-348010-m3a3utvz	890	9	Remark	Remark	NNP
cord-348010-m3a3utvz	890	10	3.1	3.1	CD
cord-348010-m3a3utvz	890	11	,	,	,
cord-348010-m3a3utvz	890	12	the	the	DT
cord-348010-m3a3utvz	890	13	contact	contact	NN
cord-348010-m3a3utvz	890	14	and	and	CC
cord-348010-m3a3utvz	890	15	replacement	replacement	NN
cord-348010-m3a3utvz	890	16	number	number	NN
cord-348010-m3a3utvz	890	17	are	be	VBP
cord-348010-m3a3utvz	890	18	presented	present	VBN
cord-348010-m3a3utvz	890	19	for	for	IN
cord-348010-m3a3utvz	890	20	the	the	DT
cord-348010-m3a3utvz	890	21	full	full	JJ
cord-348010-m3a3utvz	890	22	problem	problem	NN
cord-348010-m3a3utvz	890	23	.	.	.
cord-348010-m3a3utvz	891	1	Neglecting	neglect	VBG
cord-348010-m3a3utvz	891	2	and	and	CC
cord-348010-m3a3utvz	891	3	,	,	,
cord-348010-m3a3utvz	891	4	we	-PRON-	PRP
cord-348010-m3a3utvz	891	5	obtain	obtain	VBP
cord-348010-m3a3utvz	891	6	:	:	:
cord-348010-m3a3utvz	892	1	An	an	DT
cord-348010-m3a3utvz	892	2	investigation	investigation	NN
cord-348010-m3a3utvz	892	3	like	like	IN
cord-348010-m3a3utvz	892	4	for	for	IN
cord-348010-m3a3utvz	892	5	models	model	NNS
cord-348010-m3a3utvz	892	6	before	before	IN
cord-348010-m3a3utvz	892	7	turns	turn	VBZ
cord-348010-m3a3utvz	892	8	out	out	RP
cord-348010-m3a3utvz	892	9	to	to	TO
cord-348010-m3a3utvz	892	10	be	be	VB
cord-348010-m3a3utvz	892	11	more	more	RBR
cord-348010-m3a3utvz	892	12	complex	complex	JJ
cord-348010-m3a3utvz	892	13	.	.	.
cord-348010-m3a3utvz	893	1	We	-PRON-	PRP
cord-348010-m3a3utvz	893	2	only	only	RB
cord-348010-m3a3utvz	893	3	sketch	sketch	VBP
cord-348010-m3a3utvz	893	4	some	some	DT
cord-348010-m3a3utvz	893	5	ideas	idea	NNS
cord-348010-m3a3utvz	893	6	.	.	.
cord-348010-m3a3utvz	894	1	The	the	DT
cord-348010-m3a3utvz	894	2	addition	addition	NN
cord-348010-m3a3utvz	894	3	of	of	IN
cord-348010-m3a3utvz	894	4	equations	equation	NNS
cord-348010-m3a3utvz	894	5	(	(	-LRB-
cord-348010-m3a3utvz	894	6	4.107)-(4.110	4.107)-(4.110	CD
cord-348010-m3a3utvz	894	7	)	)	-RRB-
cord-348010-m3a3utvz	894	8	yields	yield	VBZ
cord-348010-m3a3utvz	894	9	an	an	DT
cord-348010-m3a3utvz	894	10	equation	equation	NN
cord-348010-m3a3utvz	894	11	for	for	IN
cord-348010-m3a3utvz	894	12	the	the	DT
cord-348010-m3a3utvz	894	13	sum	sum	NN
cord-348010-m3a3utvz	895	1	+	+	CC
cord-348010-m3a3utvz	896	1	1	1	CD
cord-348010-m3a3utvz	896	2	+	+	SYM
cord-348010-m3a3utvz	896	3	21	21	CD
cord-348010-m3a3utvz	896	4	+	+	SYM
cord-348010-m3a3utvz	896	5	22	22	CD
cord-348010-m3a3utvz	896	6	:	:	:
cord-348010-m3a3utvz	897	1	+	+	CC
cord-348010-m3a3utvz	898	1	̇1	̇1	NNP
cord-348010-m3a3utvz	898	2	+	+	CC
cord-348010-m3a3utvz	899	1	̇2	̇2	NNP
cord-348010-m3a3utvz	899	2	1	1	CD
cord-348010-m3a3utvz	900	1	+	+	CC
cord-348010-m3a3utvz	900	2	̇2	̇2	NNP
cord-348010-m3a3utvz	900	3	2	2	CD
cord-348010-m3a3utvz	901	1	=	=	NFP
cord-348010-m3a3utvz	902	1	̃1	̃1	CD
cord-348010-m3a3utvz	902	2	1	1	CD
cord-348010-m3a3utvz	903	1	+	+	CC
cord-348010-m3a3utvz	904	1	(	(	-LRB-
cord-348010-m3a3utvz	904	2	̃1	̃1	NNP
cord-348010-m3a3utvz	904	3	−̃2	−̃2	NN
cord-348010-m3a3utvz	904	4	1	1	CD
cord-348010-m3a3utvz	904	5	)	)	-RRB-
cord-348010-m3a3utvz	904	6	21	21	CD
cord-348010-m3a3utvz	905	1	Again	again	RB
cord-348010-m3a3utvz	905	2	,	,	,
cord-348010-m3a3utvz	905	3	this	this	DT
cord-348010-m3a3utvz	905	4	is	be	VBZ
cord-348010-m3a3utvz	905	5	a	a	DT
cord-348010-m3a3utvz	905	6	rough	rough	JJ
cord-348010-m3a3utvz	905	7	sufficient	sufficient	JJ
cord-348010-m3a3utvz	905	8	condition	condition	NN
cord-348010-m3a3utvz	905	9	,	,	,
cord-348010-m3a3utvz	905	10	disregarding	disregard	VBG
cord-348010-m3a3utvz	905	11	the	the	DT
cord-348010-m3a3utvz	905	12	remaining	remain	VBG
cord-348010-m3a3utvz	905	13	terms	term	NNS
cord-348010-m3a3utvz	905	14	in	in	IN
cord-348010-m3a3utvz	905	15	(	(	-LRB-
cord-348010-m3a3utvz	905	16	4.100	4.100	CD
cord-348010-m3a3utvz	905	17	)	)	-RRB-
cord-348010-m3a3utvz	905	18	.	.	.
cord-348010-m3a3utvz	906	1	The	the	DT
cord-348010-m3a3utvz	906	2	author	author	NN
cord-348010-m3a3utvz	906	3	thanks	thank	NNS
cord-348010-m3a3utvz	906	4	PD	PD	NNP
cord-348010-m3a3utvz	906	5	Dr.	Dr.	NNP
cord-348010-m3a3utvz	906	6	Georg	Georg	NNP
cord-348010-m3a3utvz	906	7	Quaas	Quaas	NNP
cord-348010-m3a3utvz	906	8	,	,	,
cord-348010-m3a3utvz	906	9	Leipzig	Leipzig	NNP
cord-348010-m3a3utvz	906	10	,	,	,
cord-348010-m3a3utvz	906	11	and	and	CC
cord-348010-m3a3utvz	906	12	Prof.	Prof.	NNP
cord-348010-m3a3utvz	906	13	Dr.	Dr.	NNP
cord-348010-m3a3utvz	906	14	Michael	Michael	NNP
cord-348010-m3a3utvz	906	15	Böhm	Böhm	NNP
cord-348010-m3a3utvz	906	16	,	,	,
cord-348010-m3a3utvz	906	17	Bremen	Bremen	NNP
cord-348010-m3a3utvz	906	18	,	,	,
cord-348010-m3a3utvz	906	19	for	for	IN
cord-348010-m3a3utvz	906	20	fruitful	fruitful	JJ
cord-348010-m3a3utvz	906	21	proposals	proposal	NNS
cord-348010-m3a3utvz	906	22	and	and	CC
cord-348010-m3a3utvz	906	23	discussions	discussion	NNS
cord-348010-m3a3utvz	906	24	when	when	WRB
cord-348010-m3a3utvz	906	25	preparing	prepare	VBG
cord-348010-m3a3utvz	906	26	this	this	DT
cord-348010-m3a3utvz	906	27	study	study	NN
cord-348010-m3a3utvz	906	28	.	.	.
cord-348010-m3a3utvz	906	29	 	 	_SP
cord-348010-m3a3utvz	907	1	Detection	detection	NN
cord-348010-m3a3utvz	907	2	of	of	IN
cord-348010-m3a3utvz	907	3	SARS	SARS	NNP
cord-348010-m3a3utvz	907	4	-	-	HYPH
cord-348010-m3a3utvz	907	5	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	907	6	in	in	IN
cord-348010-m3a3utvz	907	7	human	human	JJ
cord-348010-m3a3utvz	907	8	breastmilk	breastmilk	NN
cord-348010-m3a3utvz	908	1	Wo	Wo	MD
cord-348010-m3a3utvz	908	2	das	das	NNP
cord-348010-m3a3utvz	908	3	Corona	Corona	NNP
cord-348010-m3a3utvz	908	4	-	-	HYPH
cord-348010-m3a3utvz	908	5	Infektionsrisiko	Infektionsrisiko	NNP
cord-348010-m3a3utvz	908	6	am	be	VBP
cord-348010-m3a3utvz	909	1	größten	größten	NNP
cord-348010-m3a3utvz	909	2	ist	ist	NNP
cord-348010-m3a3utvz	909	3	Viable	viable	JJ
cord-348010-m3a3utvz	909	4	SARS	SARS	NNP
cord-348010-m3a3utvz	909	5	-	-	HYPH
cord-348010-m3a3utvz	909	6	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	909	7	in	in	IN
cord-348010-m3a3utvz	909	8	the	the	DT
cord-348010-m3a3utvz	909	9	air	air	NN
cord-348010-m3a3utvz	909	10	of	of	IN
cord-348010-m3a3utvz	909	11	a	a	DT
cord-348010-m3a3utvz	909	12	hospital	hospital	NN
cord-348010-m3a3utvz	909	13	room	room	NN
cord-348010-m3a3utvz	909	14	with	with	IN
cord-348010-m3a3utvz	909	15	COVID-19	covid-19	JJ
cord-348010-m3a3utvz	909	16	patients	patient	NNS
cord-348010-m3a3utvz	909	17	.	.	.
cord-348010-m3a3utvz	910	1	medRxiv	medRxiv	NNP
cord-348010-m3a3utvz	910	2	SARS	SARS	NNP
cord-348010-m3a3utvz	910	3	-	-	HYPH
cord-348010-m3a3utvz	910	4	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	910	5	blog	blog	NN
cord-348010-m3a3utvz	910	6	,	,	,
cord-348010-m3a3utvz	910	7	hermann	hermann	NNP
cord-348010-m3a3utvz	910	8	rietschel	rietschel	NNP
cord-348010-m3a3utvz	911	1	institut	institut	NNP
cord-348010-m3a3utvz	911	2	An	an	DT
cord-348010-m3a3utvz	911	3	overview	overview	NN
cord-348010-m3a3utvz	911	4	on	on	IN
cord-348010-m3a3utvz	911	5	the	the	DT
cord-348010-m3a3utvz	911	6	role	role	NN
cord-348010-m3a3utvz	911	7	of	of	IN
cord-348010-m3a3utvz	911	8	relative	relative	JJ
cord-348010-m3a3utvz	911	9	humidity	humidity	NN
cord-348010-m3a3utvz	911	10	in	in	IN
cord-348010-m3a3utvz	911	11	airborne	airborne	JJ
cord-348010-m3a3utvz	911	12	transmission	transmission	NN
cord-348010-m3a3utvz	911	13	of	of	IN
cord-348010-m3a3utvz	911	14	SARS	SARS	NNP
cord-348010-m3a3utvz	911	15	-	-	HYPH
cord-348010-m3a3utvz	911	16	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	911	17	in	in	IN
cord-348010-m3a3utvz	911	18	indoor	indoor	JJ
cord-348010-m3a3utvz	911	19	environments	environment	NNS
cord-348010-m3a3utvz	912	1	Maskenpflicht	Maskenpflicht	NNP
cord-348010-m3a3utvz	912	2	und	und	IN
cord-348010-m3a3utvz	912	3	ihre	ihre	NNP
cord-348010-m3a3utvz	913	1	Wirkung	Wirkung	NNP
cord-348010-m3a3utvz	913	2	auf	auf	NNP
cord-348010-m3a3utvz	913	3	die	die	VBP
cord-348010-m3a3utvz	913	4	Corona	Corona	NNP
cord-348010-m3a3utvz	913	5	-	-	HYPH
cord-348010-m3a3utvz	913	6	Pandemie	Pandemie	NNP
cord-348010-m3a3utvz	914	1	:	:	:
cord-348010-m3a3utvz	914	2	Was	be	VBD
cord-348010-m3a3utvz	914	3	die	die	VB
cord-348010-m3a3utvz	914	4	Welt	Welt	NNP
cord-348010-m3a3utvz	914	5	von	von	NNP
cord-348010-m3a3utvz	914	6	Jena	Jena	NNP
cord-348010-m3a3utvz	914	7	lernen	lernen	NNP
cord-348010-m3a3utvz	914	8	kann	kann	NNP
cord-348010-m3a3utvz	914	9	Physical	Physical	NNP
cord-348010-m3a3utvz	914	10	distancing	distancing	NN
cord-348010-m3a3utvz	914	11	,	,	,
cord-348010-m3a3utvz	914	12	face	face	NN
cord-348010-m3a3utvz	914	13	masks	mask	NNS
cord-348010-m3a3utvz	914	14	,	,	,
cord-348010-m3a3utvz	914	15	and	and	CC
cord-348010-m3a3utvz	914	16	eye	eye	NN
cord-348010-m3a3utvz	914	17	protection	protection	NN
cord-348010-m3a3utvz	914	18	to	to	TO
cord-348010-m3a3utvz	914	19	prevent	prevent	VB
cord-348010-m3a3utvz	914	20	person	person	NN
cord-348010-m3a3utvz	914	21	-	-	HYPH
cord-348010-m3a3utvz	914	22	to	to	IN
cord-348010-m3a3utvz	914	23	-	-	HYPH
cord-348010-m3a3utvz	914	24	person	person	NN
cord-348010-m3a3utvz	914	25	transmission	transmission	NN
cord-348010-m3a3utvz	914	26	of	of	IN
cord-348010-m3a3utvz	914	27	SARS	SARS	NNP
cord-348010-m3a3utvz	914	28	-	-	HYPH
cord-348010-m3a3utvz	914	29	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	914	30	and	and	CC
cord-348010-m3a3utvz	914	31	COVID-19	COVID-19	NNP
cord-348010-m3a3utvz	914	32	:	:	:
cord-348010-m3a3utvz	914	33	a	a	DT
cord-348010-m3a3utvz	914	34	systematic	systematic	JJ
cord-348010-m3a3utvz	914	35	review	review	NN
cord-348010-m3a3utvz	914	36	and	and	CC
cord-348010-m3a3utvz	914	37	meta	meta	NNP
cord-348010-m3a3utvz	914	38	-	-	HYPH
cord-348010-m3a3utvz	914	39	analysis	analysis	NNP
cord-348010-m3a3utvz	914	40	Investigation	Investigation	NNP
cord-348010-m3a3utvz	914	41	of	of	IN
cord-348010-m3a3utvz	914	42	a	a	DT
cord-348010-m3a3utvz	914	43	superspreading	superspreade	VBG
cord-348010-m3a3utvz	914	44	event	event	NN
cord-348010-m3a3utvz	914	45	preceding	precede	VBG
cord-348010-m3a3utvz	914	46	the	the	DT
cord-348010-m3a3utvz	914	47	largest	large	JJS
cord-348010-m3a3utvz	914	48	meat	meat	NN
cord-348010-m3a3utvz	914	49	processing	processing	NN
cord-348010-m3a3utvz	914	50	plant	plant	NN
cord-348010-m3a3utvz	914	51	-	-	HYPH
cord-348010-m3a3utvz	914	52	related	relate	VBN
cord-348010-m3a3utvz	914	53	SARS	SARS	NNP
cord-348010-m3a3utvz	914	54	-	-	HYPH
cord-348010-m3a3utvz	914	55	Coronavirus	Coronavirus	NNP
cord-348010-m3a3utvz	914	56	2	2	CD
cord-348010-m3a3utvz	914	57	outbreak	outbreak	NN
cord-348010-m3a3utvz	914	58	in	in	IN
cord-348010-m3a3utvz	914	59	Germany	Germany	NNP
cord-348010-m3a3utvz	915	1	The	the	DT
cord-348010-m3a3utvz	915	2	risk	risk	NN
cord-348010-m3a3utvz	915	3	of	of	IN
cord-348010-m3a3utvz	915	4	COVID-19	covid-19	JJ
cord-348010-m3a3utvz	915	5	transmission	transmission	NN
cord-348010-m3a3utvz	915	6	in	in	IN
cord-348010-m3a3utvz	915	7	train	train	NN
cord-348010-m3a3utvz	915	8	passengers	passenger	NNS
cord-348010-m3a3utvz	915	9	:	:	:
cord-348010-m3a3utvz	915	10	an	an	DT
cord-348010-m3a3utvz	915	11	epidemiological	epidemiological	JJ
cord-348010-m3a3utvz	915	12	and	and	CC
cord-348010-m3a3utvz	915	13	modelling	modelling	NN
cord-348010-m3a3utvz	915	14	study	study	NN
cord-348010-m3a3utvz	915	15	Next	next	JJ
cord-348010-m3a3utvz	915	16	generation	generation	NN
cord-348010-m3a3utvz	915	17	sequencing	sequencing	NN
cord-348010-m3a3utvz	915	18	of	of	IN
cord-348010-m3a3utvz	915	19	T	T	NNP
cord-348010-m3a3utvz	915	20	and	and	CC
cord-348010-m3a3utvz	915	21	B	b	NN
cord-348010-m3a3utvz	915	22	cell	cell	NN
cord-348010-m3a3utvz	915	23	receptor	receptor	NN
cord-348010-m3a3utvz	915	24	repertoires	repertoire	NNS
cord-348010-m3a3utvz	915	25	from	from	IN
cord-348010-m3a3utvz	915	26	COVID-19	covid-19	JJ
cord-348010-m3a3utvz	915	27	patients	patient	NNS
cord-348010-m3a3utvz	915	28	showed	show	VBD
cord-348010-m3a3utvz	915	29	signatures	signature	NNS
cord-348010-m3a3utvz	915	30	associated	associate	VBN
cord-348010-m3a3utvz	915	31	with	with	IN
cord-348010-m3a3utvz	915	32	severity	severity	NN
cord-348010-m3a3utvz	915	33	o	o	NN
cord-348010-m3a3utvz	915	34	disease	disease	NN
cord-348010-m3a3utvz	915	35	Periodicity	periodicity	NN
cord-348010-m3a3utvz	915	36	and	and	CC
cord-348010-m3a3utvz	915	37	stability	stability	NN
cord-348010-m3a3utvz	915	38	in	in	IN
cord-348010-m3a3utvz	915	39	epidemic	epidemic	NN
cord-348010-m3a3utvz	915	40	models	model	NNS
cord-348010-m3a3utvz	915	41	:	:	:
cord-348010-m3a3utvz	915	42	a	a	DT
cord-348010-m3a3utvz	915	43	survey	survey	NN
cord-348010-m3a3utvz	915	44	The	the	DT
cord-348010-m3a3utvz	915	45	mathematics	mathematic	NNS
cord-348010-m3a3utvz	915	46	of	of	IN
cord-348010-m3a3utvz	915	47	infectious	infectious	JJ
cord-348010-m3a3utvz	915	48	diseases	disease	NNS
cord-348010-m3a3utvz	915	49	Vertically	vertically	RB
cord-348010-m3a3utvz	915	50	transmitted	transmit	VBN
cord-348010-m3a3utvz	915	51	diseases	disease	NNS
cord-348010-m3a3utvz	915	52	,	,	,
cord-348010-m3a3utvz	915	53	Biomathematics	Biomathematics	NNP
cord-348010-m3a3utvz	915	54	Grundkurs	Grundkurs	NNP
cord-348010-m3a3utvz	915	55	Biomathematik	Biomathematik	NNP
cord-348010-m3a3utvz	915	56	:	:	:
cord-348010-m3a3utvz	916	1	Mathematische	Mathematische	NNP
cord-348010-m3a3utvz	916	2	Modelle	Modelle	NNP
cord-348010-m3a3utvz	916	3	in	in	IN
cord-348010-m3a3utvz	916	4	Biologie	Biologie	NNP
cord-348010-m3a3utvz	916	5	,	,	,
cord-348010-m3a3utvz	916	6	Biochemie	Biochemie	NNP
cord-348010-m3a3utvz	916	7	,	,	,
cord-348010-m3a3utvz	916	8	Medizin	Medizin	NNP
cord-348010-m3a3utvz	916	9	und	und	IN
cord-348010-m3a3utvz	916	10	Pharmazie	Pharmazie	NNP
cord-348010-m3a3utvz	916	11	mit	mit	NNP
cord-348010-m3a3utvz	916	12	Computerlösungen	Computerlösungen	NNP
cord-348010-m3a3utvz	916	13	in	in	IN
cord-348010-m3a3utvz	916	14	Mathematica	Mathematica	NNP
cord-348010-m3a3utvz	916	15	Infektionsepidemiologie	Infektionsepidemiologie	NNP
cord-348010-m3a3utvz	916	16	:	:	:
cord-348010-m3a3utvz	916	17	Methoden	Methoden	NNP
cord-348010-m3a3utvz	916	18	,	,	,
cord-348010-m3a3utvz	916	19	moderne	moderne	NNP
cord-348010-m3a3utvz	916	20	Surveillance	Surveillance	NNP
cord-348010-m3a3utvz	916	21	,	,	,
cord-348010-m3a3utvz	916	22	mathematische	mathematische	NNP
cord-348010-m3a3utvz	916	23	Modelle	Modelle	NNP
cord-348010-m3a3utvz	916	24	,	,	,
cord-348010-m3a3utvz	916	25	Global	Global	NNP
cord-348010-m3a3utvz	916	26	Public	Public	NNP
cord-348010-m3a3utvz	916	27	Health	Health	NNP
cord-348010-m3a3utvz	917	1	An	an	DT
cord-348010-m3a3utvz	917	2	Introduction	introduction	NN
cord-348010-m3a3utvz	917	3	to	to	IN
cord-348010-m3a3utvz	917	4	Infectious	Infectious	NNP
cord-348010-m3a3utvz	917	5	Disease	Disease	NNP
cord-348010-m3a3utvz	917	6	modelling	modelling	NN
cord-348010-m3a3utvz	917	7	Extensions	extension	NNS
cord-348010-m3a3utvz	917	8	of	of	IN
cord-348010-m3a3utvz	917	9	the	the	DT
cord-348010-m3a3utvz	917	10	SEIR	SEIR	NNP
cord-348010-m3a3utvz	917	11	model	model	NN
cord-348010-m3a3utvz	917	12	for	for	IN
cord-348010-m3a3utvz	917	13	the	the	DT
cord-348010-m3a3utvz	917	14	analysis	analysis	NN
cord-348010-m3a3utvz	917	15	of	of	IN
cord-348010-m3a3utvz	917	16	tailored	tailor	VBN
cord-348010-m3a3utvz	917	17	social	social	JJ
cord-348010-m3a3utvz	917	18	distancing	distancing	NN
cord-348010-m3a3utvz	917	19	and	and	CC
cord-348010-m3a3utvz	917	20	tracing	trace	VBG
cord-348010-m3a3utvz	917	21	approaches	approach	NNS
cord-348010-m3a3utvz	917	22	to	to	TO
cord-348010-m3a3utvz	917	23	cope	cope	VB
cord-348010-m3a3utvz	917	24	with	with	IN
cord-348010-m3a3utvz	917	25	Inferring	infer	VBG
cord-348010-m3a3utvz	917	26	change	change	NN
cord-348010-m3a3utvz	917	27	points	point	NNS
cord-348010-m3a3utvz	917	28	in	in	IN
cord-348010-m3a3utvz	917	29	the	the	DT
cord-348010-m3a3utvz	917	30	COVID-19	covid-19	JJ
cord-348010-m3a3utvz	917	31	spreading	spreading	NN
cord-348010-m3a3utvz	917	32	reveals	reveal	VBZ
cord-348010-m3a3utvz	917	33	the	the	DT
cord-348010-m3a3utvz	917	34	effectiveness	effectiveness	NN
cord-348010-m3a3utvz	917	35	of	of	IN
cord-348010-m3a3utvz	917	36	interventions	intervention	NNS
cord-348010-m3a3utvz	917	37	Welche	Welche	NNP
cord-348010-m3a3utvz	917	38	Maßnahmen	Maßnahmen	NNP
cord-348010-m3a3utvz	917	39	brachten	brachten	NNP
cord-348010-m3a3utvz	917	40	Corona	Corona	NNP
cord-348010-m3a3utvz	917	41	unter	unter	NNP
cord-348010-m3a3utvz	917	42	Kontrolle	Kontrolle	NNP
cord-348010-m3a3utvz	918	1	The	the	DT
cord-348010-m3a3utvz	918	2	reproduction	reproduction	NN
cord-348010-m3a3utvz	918	3	number	number	NN
cord-348010-m3a3utvz	918	4	in	in	IN
cord-348010-m3a3utvz	918	5	the	the	DT
cord-348010-m3a3utvz	918	6	classical	classical	JJ
cord-348010-m3a3utvz	918	7	epidemiological	epidemiological	JJ
cord-348010-m3a3utvz	918	8	model	model	NN
cord-348010-m3a3utvz	918	9	Bringing	bring	VBG
cord-348010-m3a3utvz	918	10	accountability	accountability	NN
cord-348010-m3a3utvz	918	11	to	to	IN
cord-348010-m3a3utvz	918	12	the	the	DT
cord-348010-m3a3utvz	918	13	peak	peak	NN
cord-348010-m3a3utvz	918	14	of	of	IN
cord-348010-m3a3utvz	918	15	the	the	DT
cord-348010-m3a3utvz	918	16	pandemic	pandemic	NN
cord-348010-m3a3utvz	918	17	using	use	VBG
cord-348010-m3a3utvz	918	18	linear	linear	JJ
cord-348010-m3a3utvz	918	19	response	response	NN
cord-348010-m3a3utvz	918	20	theory	theory	NN
cord-348010-m3a3utvz	919	1	A	a	DT
cord-348010-m3a3utvz	919	2	very	very	RB
cord-348010-m3a3utvz	919	3	flat	flat	JJ
cord-348010-m3a3utvz	919	4	peak	peak	NN
cord-348010-m3a3utvz	919	5	:	:	:
cord-348010-m3a3utvz	919	6	Exponential	exponential	JJ
cord-348010-m3a3utvz	919	7	growth	growth	NN
cord-348010-m3a3utvz	919	8	phase	phase	NN
cord-348010-m3a3utvz	919	9	of	of	IN
cord-348010-m3a3utvz	919	10	COVID-19	covid-19	NN
cord-348010-m3a3utvz	919	11	is	be	VBZ
cord-348010-m3a3utvz	919	12	mostly	mostly	RB
cord-348010-m3a3utvz	919	13	followed	follow	VBN
cord-348010-m3a3utvz	919	14	by	by	IN
cord-348010-m3a3utvz	919	15	a	a	DT
cord-348010-m3a3utvz	919	16	prolonged	prolonged	JJ
cord-348010-m3a3utvz	919	17	linear	linear	JJ
cord-348010-m3a3utvz	919	18	growth	growth	NN
cord-348010-m3a3utvz	919	19	phase	phase	NN
cord-348010-m3a3utvz	919	20	Ein	Ein	NNP
cord-348010-m3a3utvz	919	21	mathematisches	mathematische	NNS
cord-348010-m3a3utvz	919	22	Modell	Modell	NNP
cord-348010-m3a3utvz	919	23	der	der	NNP
cord-348010-m3a3utvz	919	24	Anfänge	Anfänge	NNP
cord-348010-m3a3utvz	919	25	der	der	NNP
cord-348010-m3a3utvz	919	26	Coronavirus	Coronavirus	NNP
cord-348010-m3a3utvz	919	27	-	-	HYPH
cord-348010-m3a3utvz	919	28	Epidemie	Epidemie	NNP
cord-348010-m3a3utvz	919	29	in	in	IN
cord-348010-m3a3utvz	919	30	Frankreich	Frankreich	NNP
cord-348010-m3a3utvz	920	1	On	on	IN
cord-348010-m3a3utvz	920	2	COVID-19	COVID-19	NNP
cord-348010-m3a3utvz	920	3	Modelling	Modelling	NNP
cord-348010-m3a3utvz	920	4	Zum	Zum	NNP
cord-348010-m3a3utvz	920	5	Aufbau	Aufbau	NNP
cord-348010-m3a3utvz	920	6	epidemiologischer	epidemiologischer	NN
cord-348010-m3a3utvz	920	7	Modelle	Modelle	NNP
cord-348010-m3a3utvz	920	8	-Entwicklung	-Entwicklung	HYPH
cord-348010-m3a3utvz	920	9	eines	eines	NNP
cord-348010-m3a3utvz	921	1	SEI3RSD	SEI3RSD	NNP
cord-348010-m3a3utvz	921	2	-	-	HYPH
cord-348010-m3a3utvz	921	3	Modells	Modells	NNP
cord-348010-m3a3utvz	921	4	zur	zur	NNP
cord-348010-m3a3utvz	921	5	Ausbreitung	Ausbreitung	NNP
cord-348010-m3a3utvz	921	6	von	von	NNP
cord-348010-m3a3utvz	921	7	SARS	SARS	NNP
cord-348010-m3a3utvz	921	8	-	-	HYPH
cord-348010-m3a3utvz	921	9	CoV-2	CoV-2	NNP
cord-348010-m3a3utvz	922	1	On	on	IN
cord-348010-m3a3utvz	922	2	build	build	NN
cord-348010-m3a3utvz	922	3	-	-	HYPH
cord-348010-m3a3utvz	922	4	up	up	NN
cord-348010-m3a3utvz	922	5	of	of	IN
cord-348010-m3a3utvz	922	6	epidemiologic	epidemiologic	JJ
cord-348010-m3a3utvz	922	7	models	model	NNS
cord-348010-m3a3utvz	922	8	-	-	:
cord-348010-m3a3utvz	922	9	development	development	NN
cord-348010-m3a3utvz	922	10	of	of	IN
cord-348010-m3a3utvz	922	11	a	a	DT
cord-348010-m3a3utvz	922	12	3	3	CD
cord-348010-m3a3utvz	922	13	model	model	NN
cord-348010-m3a3utvz	922	14	for	for	IN
cord-348010-m3a3utvz	922	15	the	the	DT
cord-348010-m3a3utvz	922	16	spread	spread	NN
cord-348010-m3a3utvz	922	17	of	of	IN
cord-348010-m3a3utvz	922	18	sars	sars	NNP
cord-348010-m3a3utvz	923	1	-cov-2	-cov-2	:
cord-348010-m3a3utvz	923	2	On	on	IN
cord-348010-m3a3utvz	923	3	the	the	DT
cord-348010-m3a3utvz	923	4	structure	structure	NN
cord-348010-m3a3utvz	923	5	of	of	IN
cord-348010-m3a3utvz	923	6	the	the	DT
cord-348010-m3a3utvz	923	7	epidemic	epidemic	NN
cord-348010-m3a3utvz	923	8	spread	spread	NN
cord-348010-m3a3utvz	923	9	of	of	IN
cord-348010-m3a3utvz	923	10	AIDS	AIDS	NNP
cord-348010-m3a3utvz	923	11	:	:	:
cord-348010-m3a3utvz	923	12	the	the	DT
cord-348010-m3a3utvz	923	13	influence	influence	NN
cord-348010-m3a3utvz	923	14	of	of	IN
cord-348010-m3a3utvz	923	15	an	an	DT
cord-348010-m3a3utvz	923	16	infectious	infectious	JJ
cord-348010-m3a3utvz	923	17	coagent	coagent	NN
cord-348010-m3a3utvz	923	18	An	an	DT
cord-348010-m3a3utvz	923	19	SIS	SIS	NNP
cord-348010-m3a3utvz	923	20	epidemic	epidemic	NN
cord-348010-m3a3utvz	923	21	model	model	NN
cord-348010-m3a3utvz	923	22	with	with	IN
cord-348010-m3a3utvz	923	23	variable	variable	JJ
cord-348010-m3a3utvz	923	24	population	population	NN
cord-348010-m3a3utvz	923	25	size	size	NN
cord-348010-m3a3utvz	923	26	and	and	CC
cord-348010-m3a3utvz	923	27	a	a	DT
cord-348010-m3a3utvz	923	28	delay	delay	NN
cord-348010-m3a3utvz	923	29	Two	two	CD
cord-348010-m3a3utvz	923	30	SIS	SIS	NNP
cord-348010-m3a3utvz	923	31	epidemiologic	epidemiologic	JJ
cord-348010-m3a3utvz	923	32	models	model	NNS
cord-348010-m3a3utvz	923	33	with	with	IN
cord-348010-m3a3utvz	923	34	delays	delay	NNS
cord-348010-m3a3utvz	923	35	Gewöhnliche	Gewöhnliche	NNP
cord-348010-m3a3utvz	923	36	Differentialgleichungen	Differentialgleichungen	NNP
cord-348010-m3a3utvz	923	37	Gewöhnliche	Gewöhnliche	NNP
cord-348010-m3a3utvz	923	38	Differentialgleichungen	Differentialgleichungen	NNP
cord-348010-m3a3utvz	924	1	-Eine	-Eine	:
cord-348010-m3a3utvz	924	2	Einführung	Einführung	NNP
cord-348010-m3a3utvz	924	3	Schätzung	Schätzung	NNP
cord-348010-m3a3utvz	924	4	einer	einer	NNP
cord-348010-m3a3utvz	925	1	zeitabhängigen	zeitabhängigen	NNP
cord-348010-m3a3utvz	926	1	Reproduktionszahl	Reproduktionszahl	NNP
cord-348010-m3a3utvz	926	2	R	r	NN
cord-348010-m3a3utvz	926	3	für	für	NN
cord-348010-m3a3utvz	926	4	Daten	Daten	NNP
cord-348010-m3a3utvz	927	1	mit	mit	NNP
cord-348010-m3a3utvz	927	2	einer	einer	NNP
cord-348010-m3a3utvz	927	3	wöchentlichen	wöchentlichen	NNP
cord-348010-m3a3utvz	927	4	Periodizität	Periodizität	NNP
cord-348010-m3a3utvz	927	5	am	be	VBP
cord-348010-m3a3utvz	927	6	Beispiel	Beispiel	NNP
cord-348010-m3a3utvz	927	7	von	von	NNP
cord-348010-m3a3utvz	927	8	SARS	SARS	NNP
cord-348010-m3a3utvz	927	9	-	-	HYPH
cord-348010-m3a3utvz	927	10	CoV-2-Infektionen	CoV-2-Infektionen	NNP
cord-348010-m3a3utvz	927	11	und	und	IN
cord-348010-m3a3utvz	927	12	COVID-19	COVID-19	NNP
cord-348010-m3a3utvz	927	13	Fluid	Fluid	NNP
cord-348010-m3a3utvz	927	14	-	-	HYPH
cord-348010-m3a3utvz	927	15	und	und	NNP
cord-348010-m3a3utvz	927	16	Thermodynamik	Thermodynamik	NNP
cord-348010-m3a3utvz	927	17	:	:	:
cord-348010-m3a3utvz	928	1	Eine	Eine	NNP
cord-348010-m3a3utvz	928	2	Einführung	Einführung	NNP
cord-348010-m3a3utvz	928	3	Continuum	Continuum	NNP
cord-348010-m3a3utvz	928	4	Methods	Methods	NNPS
cord-348010-m3a3utvz	928	5	of	of	IN
cord-348010-m3a3utvz	928	6	Physical	Physical	NNP
cord-348010-m3a3utvz	928	7	Modeling	Modeling	NNP
cord-348010-m3a3utvz	928	8	:	:	:
cord-348010-m3a3utvz	928	9	Continuum	Continuum	NNP
cord-348010-m3a3utvz	928	10	Mechanics	Mechanics	NNPS
cord-348010-m3a3utvz	928	11	,	,	,
cord-348010-m3a3utvz	928	12	Dimensional	Dimensional	NNP
cord-348010-m3a3utvz	928	13	Analysis	Analysis	NNP
cord-348010-m3a3utvz	928	14	,	,	,
cord-348010-m3a3utvz	928	15	Turbulence	Turbulence	NNP
cord-348010-m3a3utvz	928	16	Scale	scale	NN
cord-348010-m3a3utvz	928	17	-	-	HYPH
cord-348010-m3a3utvz	928	18	up	up	NN
cord-348010-m3a3utvz	928	19	-Modellübertragung	-modellübertragung	NN
cord-348010-m3a3utvz	928	20	in	in	IN
cord-348010-m3a3utvz	928	21	der	der	NNP
cord-348010-m3a3utvz	928	22	Verfahrenstechnik	Verfahrenstechnik	NNP
cord-348010-m3a3utvz	928	23	,	,	,
cord-348010-m3a3utvz	928	24	2.Aufl	2.aufl	DT
cord-348010-m3a3utvz	928	25	Mathematische	Mathematische	NNP
cord-348010-m3a3utvz	928	26	Modellierung	Modellierung	NNP
cord-348010-m3a3utvz	928	27	Oxford	Oxford	NNP
cord-348010-m3a3utvz	928	28	Users	Users	NNPS
cord-348010-m3a3utvz	928	29	'	'	POS
cord-348010-m3a3utvz	928	30	Guide	Guide	NNP
cord-348010-m3a3utvz	928	31	to	to	IN
cord-348010-m3a3utvz	928	32	Mathematics	Mathematics	NNP
cord-348010-m3a3utvz	928	33	Gewöhnliche	Gewöhnliche	NNP
cord-348010-m3a3utvz	928	34	Differentialgleichungen	Differentialgleichungen	NNP
cord-348010-m3a3utvz	928	35	-2	-2	NNP
cord-348010-m3a3utvz	928	36	.	.	NNP
cord-348010-m3a3utvz	928	37	,	,	,
cord-348010-m3a3utvz	928	38	überarb	überarb	NNP
cord-348010-m3a3utvz	928	39	.	.	.
cord-348010-m3a3utvz	929	1	Aufl	Aufl	NNP
cord-348010-m3a3utvz	930	1	On	on	IN
cord-348010-m3a3utvz	930	2	build	build	NN
cord-348010-m3a3utvz	930	3	-	-	HYPH
cord-348010-m3a3utvz	930	4	up	up	NN
cord-348010-m3a3utvz	930	5	of	of	IN
cord-348010-m3a3utvz	930	6	epidemiologic	epidemiologic	JJ
cord-348010-m3a3utvz	930	7	models	model	NNS
cord-348010-m3a3utvz	930	8	-	-	:
cord-348010-m3a3utvz	930	9	Development	Development	NNP
cord-348010-m3a3utvz	930	10	of	of	IN
cord-348010-m3a3utvz	930	11	a	a	DT
cord-348010-m3a3utvz	930	12	SEI	SEI	NNP
cord-348010-m3a3utvz	930	13	3	3	CD
cord-348010-m3a3utvz	930	14	RSD	RSD	NNP
cord-348010-m3a3utvz	930	15	model	model	NN
cord-348010-m3a3utvz	930	16	for	for	IN
cord-348010-m3a3utvz	930	17	the	the	DT
cord-348010-m3a3utvz	930	18	spread	spread	NN
cord-348010-m3a3utvz	930	19	of	of	IN
cord-348010-m3a3utvz	930	20	SARS	SARS	NNP
cord-348010-m3a3utvz	930	21	-	-	HYPH
cord-348010-m3a3utvz	930	22	CoV-2	CoV-2	NNP