id	sid	tid	token	lemma	pos
cord-140977-mg04drna	1	1	key	key	NN
cord-140977-mg04drna	1	2	:	:	:
cord-140977-mg04drna	1	3	cord-140977-mg04drna	cord-140977-mg04drna	NNS
cord-140977-mg04drna	1	4	authors	author	NNS
cord-140977-mg04drna	1	5	:	:	:
cord-140977-mg04drna	1	6	Maltezos	Maltezos	NNP
cord-140977-mg04drna	1	7	,	,	,
cord-140977-mg04drna	1	8	S.	S.	NNP
cord-140977-mg04drna	1	9	title	title	NN
cord-140977-mg04drna	1	10	:	:	:
cord-140977-mg04drna	1	11	Methodology	methodology	NN
cord-140977-mg04drna	1	12	for	for	IN
cord-140977-mg04drna	1	13	Modelling	model	VBG
cord-140977-mg04drna	1	14	the	the	DT
cord-140977-mg04drna	1	15	new	new	JJ
cord-140977-mg04drna	1	16	COVID-19	COVID-19	NNP
cord-140977-mg04drna	1	17	Pandemic	Pandemic	NNP
cord-140977-mg04drna	1	18	Spread	Spread	NNP
cord-140977-mg04drna	1	19	and	and	CC
cord-140977-mg04drna	1	20	Implementation	implementation	NN
cord-140977-mg04drna	1	21	to	to	IN
cord-140977-mg04drna	1	22	European	european	JJ
cord-140977-mg04drna	1	23	Countries	Countries	NNPS
cord-140977-mg04drna	1	24	date	date	NN
cord-140977-mg04drna	1	25	:	:	:
cord-140977-mg04drna	1	26	2020	2020	CD
cord-140977-mg04drna	1	27	-	-	HYPH
cord-140977-mg04drna	1	28	06	06	CD
cord-140977-mg04drna	1	29	-	-	SYM
cord-140977-mg04drna	1	30	27	27	CD
cord-140977-mg04drna	1	31	journal	journal	NN
cord-140977-mg04drna	1	32	:	:	:
cord-140977-mg04drna	2	1	nan	nan	NNP
cord-140977-mg04drna	2	2	DOI	DOI	NNP
cord-140977-mg04drna	2	3	:	:	:
cord-140977-mg04drna	2	4	nan	nan	NNP
cord-140977-mg04drna	2	5	sha	sha	NNP
cord-140977-mg04drna	2	6	:	:	:
cord-140977-mg04drna	3	1	81b27081094296177bc4b76dbc14fc533b1e54ca	81b27081094296177bc4b76dbc14fc533b1e54ca	NNP
cord-140977-mg04drna	3	2	doc_id	doc_id	CD
cord-140977-mg04drna	3	3	:	:	:
cord-140977-mg04drna	3	4	140977	140977	CD
cord-140977-mg04drna	3	5	cord_uid	cord_uid	NNS
cord-140977-mg04drna	3	6	:	:	:
cord-140977-mg04drna	3	7	mg04drna	mg04drna	NNP
cord-140977-mg04drna	4	1	After	after	IN
cord-140977-mg04drna	4	2	the	the	DT
cord-140977-mg04drna	4	3	breakout	breakout	NN
cord-140977-mg04drna	4	4	of	of	IN
cord-140977-mg04drna	4	5	the	the	DT
cord-140977-mg04drna	4	6	disease	disease	NN
cord-140977-mg04drna	4	7	caused	cause	VBN
cord-140977-mg04drna	4	8	by	by	IN
cord-140977-mg04drna	4	9	the	the	DT
cord-140977-mg04drna	4	10	new	new	JJ
cord-140977-mg04drna	4	11	virus	virus	NN
cord-140977-mg04drna	4	12	COVID-19	covid-19	CD
cord-140977-mg04drna	4	13	,	,	,
cord-140977-mg04drna	4	14	the	the	DT
cord-140977-mg04drna	4	15	mitigation	mitigation	NN
cord-140977-mg04drna	4	16	stage	stage	NN
cord-140977-mg04drna	4	17	has	have	VBZ
cord-140977-mg04drna	4	18	been	be	VBN
cord-140977-mg04drna	4	19	reached	reach	VBN
cord-140977-mg04drna	4	20	in	in	IN
cord-140977-mg04drna	4	21	most	most	JJS
cord-140977-mg04drna	4	22	of	of	IN
cord-140977-mg04drna	4	23	the	the	DT
cord-140977-mg04drna	4	24	countries	country	NNS
cord-140977-mg04drna	4	25	in	in	IN
cord-140977-mg04drna	4	26	the	the	DT
cord-140977-mg04drna	4	27	world	world	NN
cord-140977-mg04drna	4	28	.	.	.
cord-140977-mg04drna	5	1	During	during	IN
cord-140977-mg04drna	5	2	this	this	DT
cord-140977-mg04drna	5	3	stage	stage	NN
cord-140977-mg04drna	5	4	,	,	,
cord-140977-mg04drna	5	5	a	a	DT
cord-140977-mg04drna	5	6	more	more	RBR
cord-140977-mg04drna	5	7	accurate	accurate	JJ
cord-140977-mg04drna	5	8	data	datum	NNS
cord-140977-mg04drna	5	9	analysis	analysis	NN
cord-140977-mg04drna	5	10	of	of	IN
cord-140977-mg04drna	5	11	the	the	DT
cord-140977-mg04drna	5	12	daily	daily	JJ
cord-140977-mg04drna	5	13	reported	report	VBN
cord-140977-mg04drna	5	14	cases	case	NNS
cord-140977-mg04drna	5	15	and	and	CC
cord-140977-mg04drna	5	16	other	other	JJ
cord-140977-mg04drna	5	17	parameters	parameter	NNS
cord-140977-mg04drna	5	18	became	become	VBD
cord-140977-mg04drna	5	19	possible	possible	JJ
cord-140977-mg04drna	5	20	for	for	IN
cord-140977-mg04drna	5	21	the	the	DT
cord-140977-mg04drna	5	22	European	european	JJ
cord-140977-mg04drna	5	23	countries	country	NNS
cord-140977-mg04drna	5	24	and	and	CC
cord-140977-mg04drna	5	25	has	have	VBZ
cord-140977-mg04drna	5	26	been	be	VBN
cord-140977-mg04drna	5	27	performed	perform	VBN
cord-140977-mg04drna	5	28	in	in	IN
cord-140977-mg04drna	5	29	this	this	DT
cord-140977-mg04drna	5	30	work	work	NN
cord-140977-mg04drna	5	31	.	.	.
cord-140977-mg04drna	6	1	Based	base	VBN
cord-140977-mg04drna	6	2	on	on	IN
cord-140977-mg04drna	6	3	a	a	DT
cord-140977-mg04drna	6	4	proposed	propose	VBN
cord-140977-mg04drna	6	5	parametrization	parametrization	NN
cord-140977-mg04drna	6	6	model	model	NN
cord-140977-mg04drna	6	7	appropriate	appropriate	JJ
cord-140977-mg04drna	6	8	for	for	IN
cord-140977-mg04drna	6	9	implementation	implementation	NN
cord-140977-mg04drna	6	10	to	to	IN
cord-140977-mg04drna	6	11	an	an	DT
cord-140977-mg04drna	6	12	epidemic	epidemic	NN
cord-140977-mg04drna	6	13	in	in	IN
cord-140977-mg04drna	6	14	a	a	DT
cord-140977-mg04drna	6	15	large	large	JJ
cord-140977-mg04drna	6	16	population	population	NN
cord-140977-mg04drna	6	17	,	,	,
cord-140977-mg04drna	6	18	we	-PRON-	PRP
cord-140977-mg04drna	6	19	focused	focus	VBD
cord-140977-mg04drna	6	20	on	on	IN
cord-140977-mg04drna	6	21	the	the	DT
cord-140977-mg04drna	6	22	disease	disease	NN
cord-140977-mg04drna	6	23	spread	spread	VBD
cord-140977-mg04drna	7	1	and	and	CC
cord-140977-mg04drna	7	2	we	-PRON-	PRP
cord-140977-mg04drna	7	3	studied	study	VBD
cord-140977-mg04drna	7	4	the	the	DT
cord-140977-mg04drna	7	5	obtained	obtain	VBN
cord-140977-mg04drna	7	6	curves	curve	NNS
cord-140977-mg04drna	7	7	,	,	,
cord-140977-mg04drna	7	8	as	as	RB
cord-140977-mg04drna	7	9	well	well	RB
cord-140977-mg04drna	7	10	as	as	IN
cord-140977-mg04drna	7	11	,	,	,
cord-140977-mg04drna	7	12	we	-PRON-	PRP
cord-140977-mg04drna	7	13	investigated	investigate	VBD
cord-140977-mg04drna	7	14	probable	probable	JJ
cord-140977-mg04drna	7	15	correlations	correlation	NNS
cord-140977-mg04drna	7	16	between	between	IN
cord-140977-mg04drna	7	17	the	the	DT
cord-140977-mg04drna	7	18	country	country	NN
cord-140977-mg04drna	7	19	's	's	POS
cord-140977-mg04drna	7	20	characteristics	characteristic	NNS
cord-140977-mg04drna	7	21	and	and	CC
cord-140977-mg04drna	7	22	the	the	DT
cord-140977-mg04drna	7	23	parameters	parameter	NNS
cord-140977-mg04drna	7	24	of	of	IN
cord-140977-mg04drna	7	25	the	the	DT
cord-140977-mg04drna	7	26	parametrization	parametrization	NN
cord-140977-mg04drna	7	27	.	.	.
cord-140977-mg04drna	8	1	We	-PRON-	PRP
cord-140977-mg04drna	8	2	have	have	VBP
cord-140977-mg04drna	8	3	also	also	RB
cord-140977-mg04drna	8	4	developed	develop	VBN
cord-140977-mg04drna	8	5	a	a	DT
cord-140977-mg04drna	8	6	methodology	methodology	NN
cord-140977-mg04drna	8	7	for	for	IN
cord-140977-mg04drna	8	8	coupling	couple	VBG
cord-140977-mg04drna	8	9	our	-PRON-	PRP$
cord-140977-mg04drna	8	10	model	model	NN
cord-140977-mg04drna	8	11	to	to	IN
cord-140977-mg04drna	8	12	the	the	DT
cord-140977-mg04drna	8	13	SIR	SIR	NNP
cord-140977-mg04drna	8	14	-	-	HYPH
cord-140977-mg04drna	8	15	based	base	VBN
cord-140977-mg04drna	8	16	models	model	NNS
cord-140977-mg04drna	8	17	determining	determine	VBG
cord-140977-mg04drna	8	18	the	the	DT
cord-140977-mg04drna	8	19	basic	basic	JJ
cord-140977-mg04drna	8	20	and	and	CC
cord-140977-mg04drna	8	21	the	the	DT
cord-140977-mg04drna	8	22	effective	effective	JJ
cord-140977-mg04drna	8	23	reproductive	reproductive	JJ
cord-140977-mg04drna	8	24	number	number	NN
cord-140977-mg04drna	8	25	referring	refer	VBG
cord-140977-mg04drna	8	26	to	to	IN
cord-140977-mg04drna	8	27	the	the	DT
cord-140977-mg04drna	8	28	parameter	parameter	NN
cord-140977-mg04drna	8	29	space	space	NN
cord-140977-mg04drna	8	30	.	.	.
cord-140977-mg04drna	9	1	The	the	DT
cord-140977-mg04drna	9	2	obtained	obtain	VBN
cord-140977-mg04drna	9	3	results	result	NNS
cord-140977-mg04drna	9	4	and	and	CC
cord-140977-mg04drna	9	5	conclusions	conclusion	NNS
cord-140977-mg04drna	9	6	could	could	MD
cord-140977-mg04drna	9	7	be	be	VB
cord-140977-mg04drna	9	8	useful	useful	JJ
cord-140977-mg04drna	9	9	in	in	IN
cord-140977-mg04drna	9	10	the	the	DT
cord-140977-mg04drna	9	11	case	case	NN
cord-140977-mg04drna	9	12	of	of	IN
cord-140977-mg04drna	9	13	a	a	DT
cord-140977-mg04drna	9	14	recurrence	recurrence	NN
cord-140977-mg04drna	9	15	of	of	IN
cord-140977-mg04drna	9	16	this	this	DT
cord-140977-mg04drna	9	17	repulsive	repulsive	JJ
cord-140977-mg04drna	9	18	disease	disease	NN
cord-140977-mg04drna	9	19	in	in	IN
cord-140977-mg04drna	9	20	the	the	DT
cord-140977-mg04drna	9	21	future	future	NN
cord-140977-mg04drna	9	22	.	.	.
cord-140977-mg04drna	10	1	The	the	DT
cord-140977-mg04drna	10	2	disease	disease	NN
cord-140977-mg04drna	10	3	of	of	IN
cord-140977-mg04drna	10	4	the	the	DT
cord-140977-mg04drna	10	5	new	new	JJ
cord-140977-mg04drna	10	6	virus	virus	NN
cord-140977-mg04drna	10	7	COVID-19	COVID-19	NNP
cord-140977-mg04drna	10	8	which	which	WDT
cord-140977-mg04drna	10	9	has	have	VBZ
cord-140977-mg04drna	10	10	been	be	VBN
cord-140977-mg04drna	10	11	pandemic	pandemic	JJ
cord-140977-mg04drna	10	12	in	in	IN
cord-140977-mg04drna	10	13	the	the	DT
cord-140977-mg04drna	10	14	world	world	NN
cord-140977-mg04drna	10	15	for	for	IN
cord-140977-mg04drna	10	16	about	about	RB
cord-140977-mg04drna	10	17	90	90	CD
cord-140977-mg04drna	10	18	days	day	NNS
cord-140977-mg04drna	10	19	,	,	,
cord-140977-mg04drna	10	20	the	the	DT
cord-140977-mg04drna	10	21	"	"	``
cord-140977-mg04drna	10	22	wavefront	wavefront	NN
cord-140977-mg04drna	10	23	"	"	''
cord-140977-mg04drna	10	24	of	of	IN
cord-140977-mg04drna	10	25	infection	infection	NN
cord-140977-mg04drna	10	26	has	have	VBZ
cord-140977-mg04drna	10	27	reached	reach	VBN
cord-140977-mg04drna	10	28	its	-PRON-	PRP$
cord-140977-mg04drna	10	29	mitigation	mitigation	NN
cord-140977-mg04drna	10	30	stage	stage	NN
cord-140977-mg04drna	10	31	.	.	.
cord-140977-mg04drna	11	1	Therefore	therefore	RB
cord-140977-mg04drna	11	2	,	,	,
cord-140977-mg04drna	11	3	this	this	DT
cord-140977-mg04drna	11	4	is	be	VBZ
cord-140977-mg04drna	11	5	the	the	DT
cord-140977-mg04drna	11	6	time	time	NN
cord-140977-mg04drna	11	7	to	to	IN
cord-140977-mg04drna	11	8	turning	turn	VBG
cord-140977-mg04drna	11	9	our	-PRON-	PRP$
cord-140977-mg04drna	11	10	thoughts	thought	NNS
cord-140977-mg04drna	11	11	not	not	RB
cord-140977-mg04drna	11	12	only	only	RB
cord-140977-mg04drna	11	13	to	to	IN
cord-140977-mg04drna	11	14	its	-PRON-	PRP$
cord-140977-mg04drna	11	15	subsequent	subsequent	JJ
cord-140977-mg04drna	11	16	,	,	,
cord-140977-mg04drna	11	17	painful	painful	JJ
cord-140977-mg04drna	11	18	and	and	CC
cord-140977-mg04drna	11	19	serious	serious	JJ
cord-140977-mg04drna	11	20	implications	implication	NNS
cord-140977-mg04drna	11	21	of	of	IN
cord-140977-mg04drna	11	22	this	this	DT
cord-140977-mg04drna	11	23	pandemic	pandemic	NN
cord-140977-mg04drna	11	24	[	[	-LRB-
cord-140977-mg04drna	11	25	1	1	CD
cord-140977-mg04drna	11	26	]	]	-RRB-
cord-140977-mg04drna	11	27	,	,	,
cord-140977-mg04drna	11	28	[	[	-LRB-
cord-140977-mg04drna	11	29	2	2	CD
cord-140977-mg04drna	11	30	]	]	-RRB-
cord-140977-mg04drna	11	31	,	,	,
cord-140977-mg04drna	11	32	[	[	-LRB-
cord-140977-mg04drna	11	33	3	3	CD
cord-140977-mg04drna	11	34	]	]	-RRB-
cord-140977-mg04drna	11	35	,	,	,
cord-140977-mg04drna	11	36	[	[	-LRB-
cord-140977-mg04drna	11	37	4	4	CD
cord-140977-mg04drna	11	38	]	]	-RRB-
cord-140977-mg04drna	11	39	but	but	CC
cord-140977-mg04drna	11	40	also	also	RB
cord-140977-mg04drna	11	41	,	,	,
cord-140977-mg04drna	11	42	it	-PRON-	PRP
cord-140977-mg04drna	11	43	could	could	MD
cord-140977-mg04drna	11	44	be	be	VB
cord-140977-mg04drna	11	45	useful	useful	JJ
cord-140977-mg04drna	11	46	to	to	TO
cord-140977-mg04drna	11	47	analyse	analyse	VB
cord-140977-mg04drna	11	48	the	the	DT
cord-140977-mg04drna	11	49	way	way	NN
cord-140977-mg04drna	11	50	of	of	IN
cord-140977-mg04drna	11	51	growth	growth	NN
cord-140977-mg04drna	11	52	of	of	IN
cord-140977-mg04drna	11	53	the	the	DT
cord-140977-mg04drna	11	54	disease	disease	NN
cord-140977-mg04drna	11	55	among	among	IN
cord-140977-mg04drna	11	56	the	the	DT
cord-140977-mg04drna	11	57	countries	country	NNS
cord-140977-mg04drna	11	58	until	until	IN
cord-140977-mg04drna	11	59	the	the	DT
cord-140977-mg04drna	11	60	10	10	CD
cord-140977-mg04drna	11	61	th	th	NN
cord-140977-mg04drna	11	62	of	of	IN
cord-140977-mg04drna	11	63	May	May	NNP
cord-140977-mg04drna	11	64	2020	2020	CD
cord-140977-mg04drna	11	65	,	,	,
cord-140977-mg04drna	11	66	as	as	RB
cord-140977-mg04drna	11	67	well	well	RB
cord-140977-mg04drna	11	68	as	as	IN
cord-140977-mg04drna	11	69	,	,	,
cord-140977-mg04drna	11	70	to	to	TO
cord-140977-mg04drna	11	71	correlate	correlate	VB
cord-140977-mg04drna	11	72	these	these	DT
cord-140977-mg04drna	11	73	with	with	IN
cord-140977-mg04drna	11	74	the	the	DT
cord-140977-mg04drna	11	75	main	main	JJ
cord-140977-mg04drna	11	76	parameters	parameter	NNS
cord-140977-mg04drna	11	77	that	that	WDT
cord-140977-mg04drna	11	78	likely	likely	RB
cord-140977-mg04drna	11	79	played	play	VBD
cord-140977-mg04drna	11	80	a	a	DT
cord-140977-mg04drna	11	81	significant	significant	JJ
cord-140977-mg04drna	11	82	role	role	NN
cord-140977-mg04drna	11	83	.	.	.
cord-140977-mg04drna	12	1	In	in	IN
cord-140977-mg04drna	12	2	particular	particular	JJ
cord-140977-mg04drna	12	3	,	,	,
cord-140977-mg04drna	12	4	we	-PRON-	PRP
cord-140977-mg04drna	12	5	consider	consider	VBP
cord-140977-mg04drna	12	6	extremely	extremely	RB
cord-140977-mg04drna	12	7	useful	useful	JJ
cord-140977-mg04drna	12	8	to	to	TO
cord-140977-mg04drna	12	9	study	study	VB
cord-140977-mg04drna	12	10	the	the	DT
cord-140977-mg04drna	12	11	specific	specific	JJ
cord-140977-mg04drna	12	12	characteristics	characteristic	NNS
cord-140977-mg04drna	12	13	of	of	IN
cord-140977-mg04drna	12	14	each	each	DT
cord-140977-mg04drna	12	15	country	country	NN
cord-140977-mg04drna	12	16	that	that	WDT
cord-140977-mg04drna	12	17	played	play	VBD
cord-140977-mg04drna	12	18	a	a	DT
cord-140977-mg04drna	12	19	role	role	NN
cord-140977-mg04drna	12	20	,	,	,
cord-140977-mg04drna	12	21	the	the	DT
cord-140977-mg04drna	12	22	financial	financial	JJ
cord-140977-mg04drna	12	23	level	level	NN
cord-140977-mg04drna	12	24	or	or	CC
cord-140977-mg04drna	12	25	even	even	RB
cord-140977-mg04drna	12	26	genetic	genetic	JJ
cord-140977-mg04drna	12	27	behaviour	behaviour	NN
cord-140977-mg04drna	12	28	against	against	IN
cord-140977-mg04drna	12	29	to	to	IN
cord-140977-mg04drna	12	30	the	the	DT
cord-140977-mg04drna	12	31	new	new	JJ
cord-140977-mg04drna	12	32	corona	corona	NN
cord-140977-mg04drna	12	33	virus	virus	NN
cord-140977-mg04drna	12	34	and	and	CC
cord-140977-mg04drna	12	35	the	the	DT
cord-140977-mg04drna	12	36	associated	associated	JJ
cord-140977-mg04drna	12	37	disease	disease	NN
cord-140977-mg04drna	12	38	.	.	.
cord-140977-mg04drna	13	1	Some	some	DT
cord-140977-mg04drna	13	2	of	of	IN
cord-140977-mg04drna	13	3	these	these	DT
cord-140977-mg04drna	13	4	characteristics	characteristic	NNS
cord-140977-mg04drna	13	5	used	use	VBN
cord-140977-mg04drna	13	6	as	as	IN
cord-140977-mg04drna	13	7	mathematical	mathematical	JJ
cord-140977-mg04drna	13	8	parameters	parameter	NNS
cord-140977-mg04drna	13	9	for	for	IN
cord-140977-mg04drna	13	10	performing	perform	VBG
cord-140977-mg04drna	13	11	correlation	correlation	NN
cord-140977-mg04drna	13	12	studies	study	NNS
cord-140977-mg04drna	13	13	.	.	.
cord-140977-mg04drna	14	1	The	the	DT
cord-140977-mg04drna	14	2	results	result	NNS
cord-140977-mg04drna	14	3	of	of	IN
cord-140977-mg04drna	14	4	this	this	DT
cord-140977-mg04drna	14	5	study	study	NN
cord-140977-mg04drna	14	6	could	could	MD
cord-140977-mg04drna	14	7	give	give	VB
cord-140977-mg04drna	14	8	us	-PRON-	PRP
cord-140977-mg04drna	14	9	information	information	NN
cord-140977-mg04drna	14	10	for	for	IN
cord-140977-mg04drna	14	11	preparing	prepare	VBG
cord-140977-mg04drna	14	12	more	more	JJR
cord-140977-mg04drna	14	13	effective	effective	JJ
cord-140977-mg04drna	14	14	defensive	defensive	JJ
cord-140977-mg04drna	14	15	strategies	strategy	NNS
cord-140977-mg04drna	14	16	or	or	CC
cord-140977-mg04drna	14	17	practical	practical	JJ
cord-140977-mg04drna	14	18	"	"	''
cord-140977-mg04drna	14	19	tools	tool	NNS
cord-140977-mg04drna	14	20	"	"	''
cord-140977-mg04drna	14	21	in	in	IN
cord-140977-mg04drna	14	22	a	a	DT
cord-140977-mg04drna	14	23	possible	possible	JJ
cord-140977-mg04drna	14	24	future	future	JJ
cord-140977-mg04drna	14	25	return	return	NN
cord-140977-mg04drna	14	26	of	of	IN
cord-140977-mg04drna	14	27	the	the	DT
cord-140977-mg04drna	14	28	pandemic	pandemic	NN
cord-140977-mg04drna	14	29	which	which	WDT
cord-140977-mg04drna	14	30	constitutes	constitute	VBZ
cord-140977-mg04drna	14	31	the	the	DT
cord-140977-mg04drna	14	32	central	central	JJ
cord-140977-mg04drna	14	33	goal	goal	NN
cord-140977-mg04drna	14	34	of	of	IN
cord-140977-mg04drna	14	35	the	the	DT
cord-140977-mg04drna	14	36	present	present	JJ
cord-140977-mg04drna	14	37	work	work	NN
cord-140977-mg04drna	14	38	.	.	.
cord-140977-mg04drna	15	1	The	the	DT
cord-140977-mg04drna	15	2	outline	outline	NN
cord-140977-mg04drna	15	3	of	of	IN
cord-140977-mg04drna	15	4	the	the	DT
cord-140977-mg04drna	15	5	paper	paper	NN
cord-140977-mg04drna	15	6	is	be	VBZ
cord-140977-mg04drna	15	7	as	as	IN
cord-140977-mg04drna	15	8	follows	follow	VBZ
cord-140977-mg04drna	15	9	.	.	.
cord-140977-mg04drna	16	1	In	in	IN
cord-140977-mg04drna	16	2	Section	section	NN
cord-140977-mg04drna	16	3	2	2	CD
cord-140977-mg04drna	16	4	we	-PRON-	PRP
cord-140977-mg04drna	16	5	present	present	VBP
cord-140977-mg04drna	16	6	a	a	DT
cord-140977-mg04drna	16	7	theoretical	theoretical	JJ
cord-140977-mg04drna	16	8	methodology	methodology	NN
cord-140977-mg04drna	16	9	for	for	IN
cord-140977-mg04drna	16	10	parametrizing	parametrize	VBG
cord-140977-mg04drna	16	11	an	an	DT
cord-140977-mg04drna	16	12	epidemic	epidemic	NN
cord-140977-mg04drna	16	13	,	,	,
cord-140977-mg04drna	16	14	in	in	IN
cord-140977-mg04drna	16	15	Section	section	NN
cord-140977-mg04drna	16	16	3	3	CD
cord-140977-mg04drna	17	1	we	-PRON-	PRP
cord-140977-mg04drna	17	2	explain	explain	VBP
cord-140977-mg04drna	17	3	how	how	WRB
cord-140977-mg04drna	17	4	to	to	TO
cord-140977-mg04drna	17	5	couple	couple	VB
cord-140977-mg04drna	17	6	the	the	DT
cord-140977-mg04drna	17	7	present	present	JJ
cord-140977-mg04drna	17	8	parametrization	parametrization	NN
cord-140977-mg04drna	17	9	model	model	NN
cord-140977-mg04drna	17	10	with	with	IN
cord-140977-mg04drna	17	11	the	the	DT
cord-140977-mg04drna	17	12	basic	basic	JJ
cord-140977-mg04drna	17	13	SIR	SIR	NNP
cord-140977-mg04drna	17	14	model	model	NN
cord-140977-mg04drna	17	15	,	,	,
cord-140977-mg04drna	17	16	in	in	IN
cord-140977-mg04drna	17	17	Section	section	NN
cord-140977-mg04drna	17	18	4	4	CD
cord-140977-mg04drna	17	19	we	-PRON-	PRP
cord-140977-mg04drna	17	20	give	give	VBP
cord-140977-mg04drna	17	21	results	result	NNS
cord-140977-mg04drna	17	22	relevant	relevant	JJ
cord-140977-mg04drna	17	23	to	to	IN
cord-140977-mg04drna	17	24	the	the	DT
cord-140977-mg04drna	17	25	end	end	NN
cord-140977-mg04drna	17	26	-	-	HYPH
cord-140977-mg04drna	17	27	to	to	IN
cord-140977-mg04drna	17	28	-	-	HYPH
cord-140977-mg04drna	17	29	end	end	NN
cord-140977-mg04drna	17	30	epidemics	epidemic	NNS
cord-140977-mg04drna	17	31	growth	growth	NN
cord-140977-mg04drna	17	32	and	and	CC
cord-140977-mg04drna	17	33	in	in	IN
cord-140977-mg04drna	17	34	Section	section	NN
cord-140977-mg04drna	17	35	5	5	CD
cord-140977-mg04drna	17	36	we	-PRON-	PRP
cord-140977-mg04drna	17	37	discuss	discuss	VBP
cord-140977-mg04drna	17	38	the	the	DT
cord-140977-mg04drna	17	39	conclusions	conclusion	NNS
cord-140977-mg04drna	17	40	.	.	.
cord-140977-mg04drna	18	1	Our	-PRON-	PRP$
cord-140977-mg04drna	18	2	methodology	methodology	NN
cord-140977-mg04drna	18	3	is	be	VBZ
cord-140977-mg04drna	18	4	based	base	VBN
cord-140977-mg04drna	18	5	on	on	IN
cord-140977-mg04drna	18	6	the	the	DT
cord-140977-mg04drna	18	7	parametrization	parametrization	NN
cord-140977-mg04drna	18	8	of	of	IN
cord-140977-mg04drna	18	9	the	the	DT
cord-140977-mg04drna	18	10	growth	growth	NN
cord-140977-mg04drna	18	11	of	of	IN
cord-140977-mg04drna	18	12	the	the	DT
cord-140977-mg04drna	18	13	COVId-19	COVId-19	NNP
cord-140977-mg04drna	18	14	disease	disease	NN
cord-140977-mg04drna	18	15	that	that	WDT
cord-140977-mg04drna	18	16	we	-PRON-	PRP
cord-140977-mg04drna	18	17	used	use	VBD
cord-140977-mg04drna	18	18	in	in	IN
cord-140977-mg04drna	18	19	our	-PRON-	PRP$
cord-140977-mg04drna	18	20	recent	recent	JJ
cord-140977-mg04drna	18	21	work	work	NN
cord-140977-mg04drna	18	22	[	[	-LRB-
cord-140977-mg04drna	18	23	5	5	CD
cord-140977-mg04drna	18	24	]	]	-RRB-
cord-140977-mg04drna	18	25	and	and	CC
cord-140977-mg04drna	18	26	also	also	RB
cord-140977-mg04drna	18	27	in	in	IN
cord-140977-mg04drna	18	28	[	[	-LRB-
cord-140977-mg04drna	18	29	6	6	CD
cord-140977-mg04drna	18	30	]	]	-RRB-
cord-140977-mg04drna	18	31	and	and	CC
cord-140977-mg04drna	18	32	[	[	-LRB-
cord-140977-mg04drna	18	33	7	7	CD
cord-140977-mg04drna	18	34	]	]	-RRB-
cord-140977-mg04drna	18	35	,	,	,
cord-140977-mg04drna	18	36	that	that	IN
cord-140977-mg04drna	18	37	we	-PRON-	PRP
cord-140977-mg04drna	18	38	call	call	VBP
cord-140977-mg04drna	18	39	"	"	``
cord-140977-mg04drna	18	40	semi	semi	JJ
cord-140977-mg04drna	18	41	-	-	JJ
cord-140977-mg04drna	18	42	gaussian	gaussian	NN
cord-140977-mg04drna	18	43	of	of	IN
cord-140977-mg04drna	18	44	n	n	NN
cord-140977-mg04drna	18	45	-	-	HYPH
cord-140977-mg04drna	18	46	degree	degree	NN
cord-140977-mg04drna	18	47	"	"	''
cord-140977-mg04drna	18	48	.	.	.
cord-140977-mg04drna	19	1	It	-PRON-	PRP
cord-140977-mg04drna	19	2	was	be	VBD
cord-140977-mg04drna	19	3	used	use	VBN
cord-140977-mg04drna	19	4	for	for	IN
cord-140977-mg04drna	19	5	fitting	fit	VBG
cord-140977-mg04drna	19	6	the	the	DT
cord-140977-mg04drna	19	7	disease	disease	NN
cord-140977-mg04drna	19	8	's	's	POS
cord-140977-mg04drna	19	9	growth	growth	NN
cord-140977-mg04drna	19	10	at	at	IN
cord-140977-mg04drna	19	11	various	various	JJ
cord-140977-mg04drna	19	12	indicative	indicative	JJ
cord-140977-mg04drna	19	13	countries	country	NNS
cord-140977-mg04drna	19	14	and	and	CC
cord-140977-mg04drna	19	15	it	-PRON-	PRP
cord-140977-mg04drna	19	16	belongs	belong	VBZ
cord-140977-mg04drna	19	17	to	to	IN
cord-140977-mg04drna	19	18	the	the	DT
cord-140977-mg04drna	19	19	model	model	NN
cord-140977-mg04drna	19	20	category	category	NN
cord-140977-mg04drna	19	21	of	of	IN
cord-140977-mg04drna	19	22	"	"	``
cord-140977-mg04drna	19	23	Regression	regression	NN
cord-140977-mg04drna	19	24	Techniques	technique	NNS
cord-140977-mg04drna	19	25	"	"	''
cord-140977-mg04drna	19	26	for	for	IN
cord-140977-mg04drna	19	27	epidemic	epidemic	NN
cord-140977-mg04drna	19	28	surveillance	surveillance	NN
cord-140977-mg04drna	19	29	.	.	.
cord-140977-mg04drna	20	1	The	the	DT
cord-140977-mg04drna	20	2	basic	basic	JJ
cord-140977-mg04drna	20	3	-	-	HYPH
cord-140977-mg04drna	20	4	single	single	JJ
cord-140977-mg04drna	20	5	term	term	NN
cord-140977-mg04drna	20	6	expression	expression	NN
cord-140977-mg04drna	20	7	of	of	IN
cord-140977-mg04drna	20	8	this	this	DT
cord-140977-mg04drna	20	9	parametrization	parametrization	NN
cord-140977-mg04drna	20	10	model	model	NN
cord-140977-mg04drna	20	11	is	be	VBZ
cord-140977-mg04drna	20	12	where	where	WRB
cord-140977-mg04drna	20	13	the	the	DT
cord-140977-mg04drna	20	14	function	function	NN
cord-140977-mg04drna	20	15	c(t	c(t	VBN
cord-140977-mg04drna	20	16	)	)	-RRB-
cord-140977-mg04drna	20	17	applied	apply	VBD
cord-140977-mg04drna	20	18	in	in	IN
cord-140977-mg04drna	20	19	an	an	DT
cord-140977-mg04drna	20	20	epidemic	epidemic	NN
cord-140977-mg04drna	20	21	spread	spread	NN
cord-140977-mg04drna	20	22	represents	represent	VBZ
cord-140977-mg04drna	20	23	the	the	DT
cord-140977-mg04drna	20	24	rate	rate	NN
cord-140977-mg04drna	20	25	of	of	IN
cord-140977-mg04drna	20	26	the	the	DT
cord-140977-mg04drna	20	27	infected	infected	JJ
cord-140977-mg04drna	20	28	individuals	individual	NNS
cord-140977-mg04drna	20	29	as	as	IN
cord-140977-mg04drna	20	30	the	the	DT
cord-140977-mg04drna	20	31	new	new	JJ
cord-140977-mg04drna	20	32	daily	daily	NN
cord-140977-mg04drna	20	33	reported	report	VBN
cord-140977-mg04drna	20	34	cases	case	NNS
cord-140977-mg04drna	20	35	(	(	-LRB-
cord-140977-mg04drna	20	36	DRC	DRC	NNP
cord-140977-mg04drna	20	37	)	)	-RRB-
cord-140977-mg04drna	20	38	and	and	CC
cord-140977-mg04drna	20	39	coincides	coincide	VBZ
cord-140977-mg04drna	20	40	with	with	IN
cord-140977-mg04drna	20	41	the	the	DT
cord-140977-mg04drna	20	42	function	function	NN
cord-140977-mg04drna	20	43	I(t	I(t	NNP
cord-140977-mg04drna	20	44	)	)	-RRB-
cord-140977-mg04drna	20	45	in	in	IN
cord-140977-mg04drna	20	46	the	the	DT
cord-140977-mg04drna	20	47	SIR	SIR	NNP
cord-140977-mg04drna	20	48	model	model	NN
cord-140977-mg04drna	20	49	,	,	,
cord-140977-mg04drna	20	50	as	as	IN
cord-140977-mg04drna	20	51	we	-PRON-	PRP
cord-140977-mg04drna	20	52	can	can	MD
cord-140977-mg04drna	20	53	see	see	VB
cord-140977-mg04drna	20	54	in	in	IN
cord-140977-mg04drna	20	55	the	the	DT
cord-140977-mg04drna	20	56	following	following	NN
cord-140977-mg04drna	20	57	.	.	.
cord-140977-mg04drna	21	1	Also	also	RB
cord-140977-mg04drna	21	2	A	a	DT
cord-140977-mg04drna	21	3	is	be	VBZ
cord-140977-mg04drna	21	4	constant	constant	JJ
cord-140977-mg04drna	21	5	while	while	IN
cord-140977-mg04drna	21	6	n	n	NN
cord-140977-mg04drna	21	7	and	and	CC
cord-140977-mg04drna	21	8	τ	τ	NN
cord-140977-mg04drna	21	9	are	be	VBP
cord-140977-mg04drna	21	10	model	model	NN
cord-140977-mg04drna	21	11	parameters	parameter	NNS
cord-140977-mg04drna	21	12	.	.	.
cord-140977-mg04drna	22	1	The	the	DT
cord-140977-mg04drna	22	2	more	more	RBR
cord-140977-mg04drna	22	3	analytical	analytical	JJ
cord-140977-mg04drna	22	4	approach	approach	NN
cord-140977-mg04drna	22	5	,	,	,
cord-140977-mg04drna	22	6	in	in	IN
cord-140977-mg04drna	22	7	the	the	DT
cord-140977-mg04drna	22	8	general	general	JJ
cord-140977-mg04drna	22	9	case	case	NN
cord-140977-mg04drna	22	10	from	from	IN
cord-140977-mg04drna	22	11	the	the	DT
cord-140977-mg04drna	22	12	mathematical	mathematical	JJ
cord-140977-mg04drna	22	13	point	point	NN
cord-140977-mg04drna	22	14	of	of	IN
cord-140977-mg04drna	22	15	view	view	NN
cord-140977-mg04drna	22	16	,	,	,
cord-140977-mg04drna	22	17	comes	come	VBZ
cord-140977-mg04drna	22	18	from	from	IN
cord-140977-mg04drna	22	19	the	the	DT
cord-140977-mg04drna	22	20	fundamental	fundamental	JJ
cord-140977-mg04drna	22	21	study	study	NN
cord-140977-mg04drna	22	22	of	of	IN
cord-140977-mg04drna	22	23	the	the	DT
cord-140977-mg04drna	22	24	epidemic	epidemic	NN
cord-140977-mg04drna	22	25	growth	growth	NN
cord-140977-mg04drna	22	26	and	and	CC
cord-140977-mg04drna	22	27	includes	include	VBZ
cord-140977-mg04drna	22	28	a	a	DT
cord-140977-mg04drna	22	29	number	number	NN
cord-140977-mg04drna	22	30	of	of	IN
cord-140977-mg04drna	22	31	terms	term	NNS
cord-140977-mg04drna	22	32	in	in	IN
cord-140977-mg04drna	22	33	a	a	DT
cord-140977-mg04drna	22	34	form	form	NN
cord-140977-mg04drna	22	35	of	of	IN
cord-140977-mg04drna	22	36	double	double	JJ
cord-140977-mg04drna	22	37	summation	summation	NN
cord-140977-mg04drna	22	38	related	relate	VBN
cord-140977-mg04drna	22	39	to	to	IN
cord-140977-mg04drna	22	40	the	the	DT
cord-140977-mg04drna	22	41	inverse	inverse	NN
cord-140977-mg04drna	22	42	Laplace	Laplace	NNP
cord-140977-mg04drna	22	43	Transform	Transform	NNP
cord-140977-mg04drna	22	44	of	of	IN
cord-140977-mg04drna	22	45	a	a	DT
cord-140977-mg04drna	22	46	rational	rational	JJ
cord-140977-mg04drna	22	47	function	function	NN
cord-140977-mg04drna	22	48	given	give	VBN
cord-140977-mg04drna	22	49	in	in	IN
cord-140977-mg04drna	22	50	[	[	-LRB-
cord-140977-mg04drna	22	51	8	8	CD
cord-140977-mg04drna	22	52	]	]	-RRB-
cord-140977-mg04drna	22	53	,	,	,
cord-140977-mg04drna	22	54	referring	refer	VBG
cord-140977-mg04drna	22	55	to	to	IN
cord-140977-mg04drna	22	56	the	the	DT
cord-140977-mg04drna	22	57	"	"	``
cord-140977-mg04drna	22	58	Earlier	early	JJR
cord-140977-mg04drna	22	59	stages	stage	NNS
cord-140977-mg04drna	22	60	of	of	IN
cord-140977-mg04drna	22	61	an	an	DT
cord-140977-mg04drna	22	62	epidemic	epidemic	NN
cord-140977-mg04drna	22	63	in	in	IN
cord-140977-mg04drna	22	64	a	a	DT
cord-140977-mg04drna	22	65	large	large	JJ
cord-140977-mg04drna	22	66	population	population	NN
cord-140977-mg04drna	22	67	"	"	''
cord-140977-mg04drna	22	68	.	.	.
cord-140977-mg04drna	23	1	In	in	IN
cord-140977-mg04drna	23	2	this	this	DT
cord-140977-mg04drna	23	3	hypothesis	hypothesis	NN
cord-140977-mg04drna	23	4	,	,	,
cord-140977-mg04drna	23	5	the	the	DT
cord-140977-mg04drna	23	6	number	number	NN
cord-140977-mg04drna	23	7	of	of	IN
cord-140977-mg04drna	23	8	unaffected	unaffected	JJ
cord-140977-mg04drna	23	9	individuals	individual	NNS
cord-140977-mg04drna	23	10	may	may	MD
cord-140977-mg04drna	23	11	be	be	VB
cord-140977-mg04drna	23	12	considered	consider	VBN
cord-140977-mg04drna	23	13	to	to	TO
cord-140977-mg04drna	23	14	be	be	VB
cord-140977-mg04drna	23	15	constant	constant	JJ
cord-140977-mg04drna	23	16	,	,	,
cord-140977-mg04drna	23	17	while	while	IN
cord-140977-mg04drna	23	18	any	any	DT
cord-140977-mg04drna	23	19	alternation	alternation	NN
cord-140977-mg04drna	23	20	is	be	VBZ
cord-140977-mg04drna	23	21	assumed	assume	VBN
cord-140977-mg04drna	23	22	small	small	JJ
cord-140977-mg04drna	23	23	compared	compare	VBN
cord-140977-mg04drna	23	24	to	to	IN
cord-140977-mg04drna	23	25	the	the	DT
cord-140977-mg04drna	23	26	total	total	JJ
cord-140977-mg04drna	23	27	number	number	NN
cord-140977-mg04drna	23	28	of	of	IN
cord-140977-mg04drna	23	29	exposed	expose	VBN
cord-140977-mg04drna	23	30	individuals	individual	NNS
cord-140977-mg04drna	23	31	.	.	.
cord-140977-mg04drna	24	1	This	this	DT
cord-140977-mg04drna	24	2	function	function	NN
cord-140977-mg04drna	24	3	,	,	,
cord-140977-mg04drna	24	4	which	which	WDT
cord-140977-mg04drna	24	5	could	could	MD
cord-140977-mg04drna	24	6	be	be	VB
cord-140977-mg04drna	24	7	called	call	VBN
cord-140977-mg04drna	24	8	"	"	``
cord-140977-mg04drna	24	9	Large	large	JJ
cord-140977-mg04drna	24	10	Population	population	NN
cord-140977-mg04drna	24	11	Epidemic	epidemic	NN
cord-140977-mg04drna	24	12	Semi	semi	JJ
cord-140977-mg04drna	24	13	-	-	JJ
cord-140977-mg04drna	24	14	Gaussian	gaussian	JJ
cord-140977-mg04drna	24	15	model	model	NN
cord-140977-mg04drna	24	16	"	"	''
cord-140977-mg04drna	24	17	(	(	-LRB-
cord-140977-mg04drna	24	18	LPE	LPE	NNP
cord-140977-mg04drna	24	19	-	-	HYPH
cord-140977-mg04drna	24	20	SG	SG	NNP
cord-140977-mg04drna	24	21	)	)	-RRB-
cord-140977-mg04drna	24	22	,	,	,
cord-140977-mg04drna	24	23	is	be	VBZ
cord-140977-mg04drna	24	24	the	the	DT
cord-140977-mg04drna	24	25	following	follow	VBG
cord-140977-mg04drna	24	26	where	where	WRB
cord-140977-mg04drna	24	27	A	a	DT
cord-140977-mg04drna	24	28	ij	ij	NN
cord-140977-mg04drna	24	29	are	be	VBP
cord-140977-mg04drna	24	30	arbitrary	arbitrary	JJ
cord-140977-mg04drna	24	31	amplitudes	amplitude	NNS
cord-140977-mg04drna	24	32	,	,	,
cord-140977-mg04drna	24	33	n	n	NNP
cord-140977-mg04drna	24	34	ij	ij	NNP
cord-140977-mg04drna	24	35	are	be	VBP
cord-140977-mg04drna	24	36	the	the	DT
cord-140977-mg04drna	24	37	degrees	degree	NNS
cord-140977-mg04drna	24	38	of	of	IN
cord-140977-mg04drna	24	39	the	the	DT
cord-140977-mg04drna	24	40	model	model	NN
cord-140977-mg04drna	24	41	(	(	-LRB-
cord-140977-mg04drna	24	42	assumed	assume	VBN
cord-140977-mg04drna	24	43	fractional	fractional	JJ
cord-140977-mg04drna	24	44	in	in	IN
cord-140977-mg04drna	24	45	a	a	DT
cord-140977-mg04drna	24	46	general	general	JJ
cord-140977-mg04drna	24	47	case	case	NN
cord-140977-mg04drna	24	48	)	)	-RRB-
cord-140977-mg04drna	24	49	and	and	CC
cord-140977-mg04drna	24	50	τ	τ	NN
cord-140977-mg04drna	24	51	ij	ij	NNP
cord-140977-mg04drna	24	52	are	be	VBP
cord-140977-mg04drna	24	53	the	the	DT
cord-140977-mg04drna	24	54	time	time	NN
cord-140977-mg04drna	24	55	constants	constant	NNS
cord-140977-mg04drna	24	56	representing	represent	VBG
cord-140977-mg04drna	24	57	in	in	IN
cord-140977-mg04drna	24	58	our	-PRON-	PRP$
cord-140977-mg04drna	24	59	case	case	NN
cord-140977-mg04drna	24	60	a	a	DT
cord-140977-mg04drna	24	61	mean	mean	JJ
cord-140977-mg04drna	24	62	infection	infection	NN
cord-140977-mg04drna	24	63	time	time	NN
cord-140977-mg04drna	24	64	respectively	respectively	RB
cord-140977-mg04drna	24	65	.	.	.
cord-140977-mg04drna	25	1	Also	also	RB
cord-140977-mg04drna	25	2	,	,	,
cord-140977-mg04drna	25	3	M	M	NNP
cord-140977-mg04drna	25	4	and	and	CC
cord-140977-mg04drna	25	5	N	N	NNP
cord-140977-mg04drna	25	6	are	be	VBP
cord-140977-mg04drna	25	7	the	the	DT
cord-140977-mg04drna	25	8	finite	finite	JJ
cord-140977-mg04drna	25	9	number	number	NN
cord-140977-mg04drna	25	10	of	of	IN
cord-140977-mg04drna	25	11	terms	term	NNS
cord-140977-mg04drna	25	12	to	to	TO
cord-140977-mg04drna	25	13	be	be	VB
cord-140977-mg04drna	25	14	included	include	VBN
cord-140977-mg04drna	25	15	.	.	.
cord-140977-mg04drna	26	1	It	-PRON-	PRP
cord-140977-mg04drna	26	2	is	be	VBZ
cord-140977-mg04drna	26	3	easy	easy	JJ
cord-140977-mg04drna	26	4	to	to	TO
cord-140977-mg04drna	26	5	prove	prove	VB
cord-140977-mg04drna	26	6	that	that	IN
cord-140977-mg04drna	26	7	the	the	DT
cord-140977-mg04drna	26	8	"	"	``
cord-140977-mg04drna	26	9	peaking	peak	VBG
cord-140977-mg04drna	26	10	time	time	NN
cord-140977-mg04drna	26	11	"	"	''
cord-140977-mg04drna	26	12	of	of	IN
cord-140977-mg04drna	26	13	the	the	DT
cord-140977-mg04drna	26	14	function	function	NN
cord-140977-mg04drna	26	15	of	of	IN
cord-140977-mg04drna	26	16	each	each	DT
cord-140977-mg04drna	26	17	term	term	NN
cord-140977-mg04drna	26	18	depends	depend	VBZ
cord-140977-mg04drna	26	19	on	on	IN
cord-140977-mg04drna	26	20	the	the	DT
cord-140977-mg04drna	26	21	product	product	NN
cord-140977-mg04drna	26	22	of	of	IN
cord-140977-mg04drna	26	23	n	n	NNP
cord-140977-mg04drna	26	24	ij	ij	NNP
cord-140977-mg04drna	26	25	by	by	IN
cord-140977-mg04drna	26	26	τ	τ	NNP
cord-140977-mg04drna	26	27	ij	ij	NNP
cord-140977-mg04drna	26	28	,	,	,
cord-140977-mg04drna	26	29	that	that	RB
cord-140977-mg04drna	26	30	is	is	RB
cord-140977-mg04drna	26	31	,	,	,
cord-140977-mg04drna	26	32	t	t	NNP
cord-140977-mg04drna	26	33	pij	pij	NNP
cord-140977-mg04drna	26	34	=	=	SYM
cord-140977-mg04drna	26	35	n	n	NNP
cord-140977-mg04drna	26	36	ij	ij	NNP
cord-140977-mg04drna	26	37	τ	τ	NN
cord-140977-mg04drna	26	38	ij	ij	NNP
cord-140977-mg04drna	26	39	.	.	.
cord-140977-mg04drna	27	1	In	in	IN
cord-140977-mg04drna	27	2	practice	practice	NN
cord-140977-mg04drna	27	3	,	,	,
cord-140977-mg04drna	27	4	the	the	DT
cord-140977-mg04drna	27	5	number	number	NN
cord-140977-mg04drna	27	6	of	of	IN
cord-140977-mg04drna	27	7	the	the	DT
cord-140977-mg04drna	27	8	required	require	VBN
cord-140977-mg04drna	27	9	terms	term	NNS
cord-140977-mg04drna	27	10	should	should	MD
cord-140977-mg04drna	27	11	be	be	VB
cord-140977-mg04drna	27	12	determined	determine	VBN
cord-140977-mg04drna	27	13	according	accord	VBG
cord-140977-mg04drna	27	14	to	to	IN
cord-140977-mg04drna	27	15	the	the	DT
cord-140977-mg04drna	27	16	shape	shape	NN
cord-140977-mg04drna	27	17	of	of	IN
cord-140977-mg04drna	27	18	the	the	DT
cord-140977-mg04drna	27	19	data	datum	NNS
cord-140977-mg04drna	27	20	and	and	CC
cord-140977-mg04drna	27	21	the	the	DT
cord-140977-mg04drna	27	22	desired	desire	VBN
cord-140977-mg04drna	27	23	achievable	achievable	JJ
cord-140977-mg04drna	27	24	accuracy	accuracy	NN
cord-140977-mg04drna	27	25	.	.	.
cord-140977-mg04drna	28	1	After	after	IN
cord-140977-mg04drna	28	2	investigation	investigation	NN
cord-140977-mg04drna	28	3	of	of	IN
cord-140977-mg04drna	28	4	the	the	DT
cord-140977-mg04drna	28	5	fitting	fitting	JJ
cord-140977-mg04drna	28	6	performance	performance	NN
cord-140977-mg04drna	28	7	we	-PRON-	PRP
cord-140977-mg04drna	28	8	concluded	conclude	VBD
cord-140977-mg04drna	28	9	that	that	IN
cord-140977-mg04drna	28	10	,	,	,
cord-140977-mg04drna	28	11	at	at	IN
cord-140977-mg04drna	28	12	most	most	JJS
cord-140977-mg04drna	28	13	,	,	,
cord-140977-mg04drna	28	14	two	two	CD
cord-140977-mg04drna	28	15	terms	term	NNS
cord-140977-mg04drna	28	16	of	of	IN
cord-140977-mg04drna	28	17	the	the	DT
cord-140977-mg04drna	28	18	above	above	JJ
cord-140977-mg04drna	28	19	double	double	JJ
cord-140977-mg04drna	28	20	sum	sum	NN
cord-140977-mg04drna	28	21	are	be	VBP
cord-140977-mg04drna	28	22	adequate	adequate	JJ
cord-140977-mg04drna	28	23	for	for	IN
cord-140977-mg04drna	28	24	our	-PRON-	PRP$
cord-140977-mg04drna	28	25	purpose	purpose	NN
cord-140977-mg04drna	28	26	.	.	.
cord-140977-mg04drna	29	1	Also	also	RB
cord-140977-mg04drna	29	2	,	,	,
cord-140977-mg04drna	29	3	the	the	DT
cord-140977-mg04drna	29	4	cross	cross	NN
cord-140977-mg04drna	29	5	terms	term	NNS
cord-140977-mg04drna	29	6	,	,	,
cord-140977-mg04drna	29	7	with	with	IN
cord-140977-mg04drna	29	8	indices	index	NNS
cord-140977-mg04drna	29	9	ij	ij	NNP
cord-140977-mg04drna	29	10	and	and	CC
cord-140977-mg04drna	29	11	ji	ji	NNP
cord-140977-mg04drna	29	12	,	,	,
cord-140977-mg04drna	29	13	can	can	MD
cord-140977-mg04drna	29	14	not	not	RB
cord-140977-mg04drna	29	15	help	help	VB
cord-140977-mg04drna	29	16	more	more	RBR
cord-140977-mg04drna	29	17	the	the	DT
cord-140977-mg04drna	29	18	flexibility	flexibility	NN
cord-140977-mg04drna	29	19	of	of	IN
cord-140977-mg04drna	29	20	the	the	DT
cord-140977-mg04drna	29	21	model	model	NN
cord-140977-mg04drna	29	22	.	.	.
cord-140977-mg04drna	30	1	In	in	IN
cord-140977-mg04drna	30	2	particular	particular	JJ
cord-140977-mg04drna	30	3	,	,	,
cord-140977-mg04drna	30	4	a	a	LS
cord-140977-mg04drna	30	5	)	)	-RRB-
cord-140977-mg04drna	30	6	the	the	DT
cord-140977-mg04drna	30	7	degree	degree	NN
cord-140977-mg04drna	30	8	of	of	IN
cord-140977-mg04drna	30	9	the	the	DT
cord-140977-mg04drna	30	10	model	model	NN
cord-140977-mg04drna	30	11	can	can	MD
cord-140977-mg04drna	30	12	"	"	``
cord-140977-mg04drna	30	13	cover	cover	VB
cord-140977-mg04drna	30	14	"	"	''
cord-140977-mg04drna	30	15	any	any	DT
cord-140977-mg04drna	30	16	early	early	JJ
cord-140977-mg04drna	30	17	or	or	CC
cord-140977-mg04drna	30	18	late	late	JJ
cord-140977-mg04drna	30	19	smaller	small	JJR
cord-140977-mg04drna	30	20	outbreak	outbreak	NN
cord-140977-mg04drna	30	21	of	of	IN
cord-140977-mg04drna	30	22	the	the	DT
cord-140977-mg04drna	30	23	daily	daily	JJ
cord-140977-mg04drna	30	24	cases	case	NNS
cord-140977-mg04drna	30	25	,	,	,
cord-140977-mg04drna	30	26	while	while	IN
cord-140977-mg04drna	30	27	b	b	LS
cord-140977-mg04drna	30	28	)	)	-RRB-
cord-140977-mg04drna	30	29	the	the	DT
cord-140977-mg04drna	30	30	mean	mean	JJ
cord-140977-mg04drna	30	31	infection	infection	NN
cord-140977-mg04drna	30	32	time	time	NN
cord-140977-mg04drna	30	33	is	be	VBZ
cord-140977-mg04drna	30	34	a	a	DT
cord-140977-mg04drna	30	35	characteristic	characteristic	JJ
cord-140977-mg04drna	30	36	inherent	inherent	JJ
cord-140977-mg04drna	30	37	parameter	parameter	NN
cord-140977-mg04drna	30	38	of	of	IN
cord-140977-mg04drna	30	39	the	the	DT
cord-140977-mg04drna	30	40	disease	disease	NN
cord-140977-mg04drna	30	41	under	under	IN
cord-140977-mg04drna	30	42	study	study	NN
cord-140977-mg04drna	30	43	and	and	CC
cord-140977-mg04drna	30	44	thus	thus	RB
cord-140977-mg04drna	30	45	should	should	MD
cord-140977-mg04drna	30	46	be	be	VB
cord-140977-mg04drna	30	47	essentially	essentially	RB
cord-140977-mg04drna	30	48	constant	constant	JJ
cord-140977-mg04drna	30	49	.	.	.
cord-140977-mg04drna	31	1	For	for	IN
cord-140977-mg04drna	31	2	these	these	DT
cord-140977-mg04drna	31	3	reasons	reason	NNS
cord-140977-mg04drna	31	4	,	,	,
cord-140977-mg04drna	31	5	the	the	DT
cord-140977-mg04drna	31	6	expression	expression	NN
cord-140977-mg04drna	31	7	with	with	IN
cord-140977-mg04drna	31	8	one	one	CD
cord-140977-mg04drna	31	9	term	term	NN
cord-140977-mg04drna	31	10	was	be	VBD
cord-140977-mg04drna	31	11	adequate	adequate	JJ
cord-140977-mg04drna	31	12	in	in	IN
cord-140977-mg04drna	31	13	most	most	JJS
cord-140977-mg04drna	31	14	of	of	IN
cord-140977-mg04drna	31	15	the	the	DT
cord-140977-mg04drna	31	16	cases	case	NNS
cord-140977-mg04drna	31	17	,	,	,
cord-140977-mg04drna	31	18	whereas	whereas	RB
cord-140977-mg04drna	31	19	,	,	,
cord-140977-mg04drna	31	20	the	the	DT
cord-140977-mg04drna	31	21	6	6	CD
cord-140977-mg04drna	31	22	free	free	JJ
cord-140977-mg04drna	31	23	parameters	parameter	NNS
cord-140977-mg04drna	31	24	allow	allow	VBP
cord-140977-mg04drna	31	25	a	a	DT
cord-140977-mg04drna	31	26	very	very	RB
cord-140977-mg04drna	31	27	good	good	JJ
cord-140977-mg04drna	31	28	flexibility	flexibility	NN
cord-140977-mg04drna	31	29	for	for	IN
cord-140977-mg04drna	31	30	the	the	DT
cord-140977-mg04drna	31	31	fitting	fitting	NN
cord-140977-mg04drna	31	32	.	.	.
cord-140977-mg04drna	32	1	Therefore	therefore	RB
cord-140977-mg04drna	32	2	,	,	,
cord-140977-mg04drna	32	3	we	-PRON-	PRP
cord-140977-mg04drna	32	4	can	can	MD
cord-140977-mg04drna	32	5	write	write	VB
cord-140977-mg04drna	32	6	For	for	IN
cord-140977-mg04drna	32	7	the	the	DT
cord-140977-mg04drna	32	8	fitting	fitting	JJ
cord-140977-mg04drna	32	9	procedure	procedure	NN
cord-140977-mg04drna	32	10	,	,	,
cord-140977-mg04drna	32	11	we	-PRON-	PRP
cord-140977-mg04drna	32	12	have	have	VBP
cord-140977-mg04drna	32	13	used	use	VBN
cord-140977-mg04drna	32	14	two	two	CD
cord-140977-mg04drna	32	15	alternative	alternative	JJ
cord-140977-mg04drna	32	16	tactics	tactic	NNS
cord-140977-mg04drna	32	17	,	,	,
cord-140977-mg04drna	32	18	based	base	VBN
cord-140977-mg04drna	32	19	on	on	IN
cord-140977-mg04drna	32	20	either	either	CC
cord-140977-mg04drna	32	21	the	the	DT
cord-140977-mg04drna	32	22	daily	daily	JJ
cord-140977-mg04drna	32	23	model	model	NN
cord-140977-mg04drna	32	24	or	or	CC
cord-140977-mg04drna	32	25	on	on	IN
cord-140977-mg04drna	32	26	the	the	DT
cord-140977-mg04drna	32	27	cumulative	cumulative	JJ
cord-140977-mg04drna	32	28	integral	integral	NN
cord-140977-mg04drna	32	29	of	of	IN
cord-140977-mg04drna	32	30	it	-PRON-	PRP
cord-140977-mg04drna	32	31	.	.	.
cord-140977-mg04drna	33	1	The	the	DT
cord-140977-mg04drna	33	2	decision	decision	NN
cord-140977-mg04drna	33	3	depends	depend	VBZ
cord-140977-mg04drna	33	4	on	on	IN
cord-140977-mg04drna	33	5	the	the	DT
cord-140977-mg04drna	33	6	goodness	goodness	NN
cord-140977-mg04drna	33	7	of	of	IN
cord-140977-mg04drna	33	8	the	the	DT
cord-140977-mg04drna	33	9	fit	fit	NN
cord-140977-mg04drna	33	10	in	in	IN
cord-140977-mg04drna	33	11	each	each	DT
cord-140977-mg04drna	33	12	case	case	NN
cord-140977-mg04drna	33	13	based	base	VBN
cord-140977-mg04drna	33	14	on	on	IN
cord-140977-mg04drna	33	15	the	the	DT
cord-140977-mg04drna	33	16	criterion	criterion	NN
cord-140977-mg04drna	33	17	of	of	IN
cord-140977-mg04drna	33	18	minimizing	minimize	VBG
cord-140977-mg04drna	33	19	the	the	DT
cord-140977-mg04drna	33	20	χ	χ	CD
cord-140977-mg04drna	33	21	2	2	CD
cord-140977-mg04drna	33	22	/dof	/dof	,
cord-140977-mg04drna	33	23	,	,	,
cord-140977-mg04drna	33	24	as	as	IN
cord-140977-mg04drna	33	25	we	-PRON-	PRP
cord-140977-mg04drna	33	26	have	have	VBP
cord-140977-mg04drna	33	27	done	do	VBN
cord-140977-mg04drna	33	28	in	in	IN
cord-140977-mg04drna	33	29	our	-PRON-	PRP$
cord-140977-mg04drna	33	30	previous	previous	JJ
cord-140977-mg04drna	33	31	work	work	NN
cord-140977-mg04drna	33	32	.	.	.
cord-140977-mg04drna	34	1	[	[	-LRB-
cord-140977-mg04drna	34	2	5	5	CD
cord-140977-mg04drna	34	3	]	]	-RRB-
cord-140977-mg04drna	34	4	.	.	.
cord-140977-mg04drna	35	1	The	the	DT
cord-140977-mg04drna	35	2	starting	start	VBG
cord-140977-mg04drna	35	3	date	date	NN
cord-140977-mg04drna	35	4	(	(	-LRB-
cord-140977-mg04drna	35	5	at	at	IN
cord-140977-mg04drna	35	6	t	t	NN
cord-140977-mg04drna	35	7	=	=	SYM
cord-140977-mg04drna	35	8	0	0	NFP
cord-140977-mg04drna	35	9	)	)	-RRB-
cord-140977-mg04drna	35	10	was	be	VBD
cord-140977-mg04drna	35	11	one	one	CD
cord-140977-mg04drna	35	12	day	day	NN
cord-140977-mg04drna	35	13	before	before	IN
cord-140977-mg04drna	35	14	the	the	DT
cord-140977-mg04drna	35	15	first	first	JJ
cord-140977-mg04drna	35	16	reported	report	VBN
cord-140977-mg04drna	35	17	case	case	NN
cord-140977-mg04drna	35	18	(	(	-LRB-
cord-140977-mg04drna	35	19	or	or	CC
cord-140977-mg04drna	35	20	cases	case	NNS
cord-140977-mg04drna	35	21	)	)	-RRB-
cord-140977-mg04drna	35	22	.	.	.
cord-140977-mg04drna	36	1	The	the	DT
cord-140977-mg04drna	36	2	cumulative	cumulative	JJ
cord-140977-mg04drna	36	3	parametrization	parametrization	NN
cord-140977-mg04drna	36	4	model	model	NN
cord-140977-mg04drna	36	5	and	and	CC
cord-140977-mg04drna	36	6	the	the	DT
cord-140977-mg04drna	36	7	fitting	fitting	JJ
cord-140977-mg04drna	36	8	model	model	NN
cord-140977-mg04drna	36	9	take	take	VB
cord-140977-mg04drna	36	10	the	the	DT
cord-140977-mg04drna	36	11	following	follow	VBG
cord-140977-mg04drna	36	12	forms	form	NNS
cord-140977-mg04drna	36	13	respectively	respectively	RB
cord-140977-mg04drna	36	14	where	where	WRB
cord-140977-mg04drna	36	15	the	the	DT
cord-140977-mg04drna	36	16	symbol	symbol	NN
cord-140977-mg04drna	36	17	Γ	Γ	NNP
cord-140977-mg04drna	36	18	represents	represent	VBZ
cord-140977-mg04drna	36	19	the	the	DT
cord-140977-mg04drna	36	20	gamma	gamma	NN
cord-140977-mg04drna	36	21	function	function	NN
cord-140977-mg04drna	36	22	and	and	CC
cord-140977-mg04drna	36	23	the	the	DT
cord-140977-mg04drna	36	24	Γ	Γ	NNP
cord-140977-mg04drna	36	25	c	c	NN
cord-140977-mg04drna	36	26	the	the	DT
cord-140977-mg04drna	36	27	upper	upper	JJ
cord-140977-mg04drna	36	28	incomplete	incomplete	JJ
cord-140977-mg04drna	36	29	gamma	gamma	NN
cord-140977-mg04drna	36	30	function	function	NN
cord-140977-mg04drna	36	31	at	at	IN
cord-140977-mg04drna	36	32	time	time	NN
cord-140977-mg04drna	37	1	t.	t.	NNP
cord-140977-mg04drna	38	1	The	the	DT
cord-140977-mg04drna	38	2	above	above	IN
cord-140977-mg04drna	38	3	generalized	generalized	JJ
cord-140977-mg04drna	38	4	mathematical	mathematical	JJ
cord-140977-mg04drna	38	5	model	model	NN
cord-140977-mg04drna	38	6	,	,	,
cord-140977-mg04drna	38	7	has	have	VBZ
cord-140977-mg04drna	38	8	the	the	DT
cord-140977-mg04drna	38	9	advantage	advantage	NN
cord-140977-mg04drna	38	10	of	of	IN
cord-140977-mg04drna	38	11	providing	provide	VBG
cord-140977-mg04drna	38	12	more	more	JJR
cord-140977-mg04drna	38	13	flexibility	flexibility	NN
cord-140977-mg04drna	38	14	when	when	WRB
cord-140977-mg04drna	38	15	the	the	DT
cord-140977-mg04drna	38	16	raw	raw	JJ
cord-140977-mg04drna	38	17	data	datum	NNS
cord-140977-mg04drna	38	18	include	include	VBP
cord-140977-mg04drna	38	19	a	a	DT
cord-140977-mg04drna	38	20	composite	composite	JJ
cord-140977-mg04drna	38	21	structure	structure	NN
cord-140977-mg04drna	38	22	or	or	CC
cord-140977-mg04drna	38	23	superposition	superposition	NN
cord-140977-mg04drna	38	24	of	of	IN
cord-140977-mg04drna	38	25	more	more	JJR
cord-140977-mg04drna	38	26	than	than	IN
cord-140977-mg04drna	38	27	one	one	CD
cord-140977-mg04drna	38	28	growth	growth	NN
cord-140977-mg04drna	38	29	curves	curve	NNS
cord-140977-mg04drna	38	30	which	which	WDT
cord-140977-mg04drna	38	31	could	could	MD
cord-140977-mg04drna	38	32	be	be	VB
cord-140977-mg04drna	38	33	coexisting	coexist	VBG
cord-140977-mg04drna	38	34	.	.	.
cord-140977-mg04drna	39	1	This	this	DT
cord-140977-mg04drna	39	2	is	be	VBZ
cord-140977-mg04drna	39	3	possible	possible	JJ
cord-140977-mg04drna	39	4	to	to	TO
cord-140977-mg04drna	39	5	happen	happen	VB
cord-140977-mg04drna	39	6	due	due	IN
cord-140977-mg04drna	39	7	to	to	IN
cord-140977-mg04drna	39	8	restriction	restriction	NN
cord-140977-mg04drna	39	9	measures	measure	NNS
cord-140977-mg04drna	39	10	applied	apply	VBN
cord-140977-mg04drna	39	11	during	during	IN
cord-140977-mg04drna	39	12	the	the	DT
cord-140977-mg04drna	39	13	evolution	evolution	NN
cord-140977-mg04drna	39	14	of	of	IN
cord-140977-mg04drna	39	15	an	an	DT
cord-140977-mg04drna	39	16	epidemic	epidemic	NN
cord-140977-mg04drna	39	17	.	.	.
cord-140977-mg04drna	40	1	Regardless	regardless	RB
cord-140977-mg04drna	40	2	of	of	IN
cord-140977-mg04drna	40	3	the	the	DT
cord-140977-mg04drna	40	4	number	number	NN
cord-140977-mg04drna	40	5	of	of	IN
cord-140977-mg04drna	40	6	terms	term	NNS
cord-140977-mg04drna	40	7	used	use	VBN
cord-140977-mg04drna	40	8	,	,	,
cord-140977-mg04drna	40	9	the	the	DT
cord-140977-mg04drna	40	10	obtained	obtain	VBN
cord-140977-mg04drna	40	11	parameters	parameter	NNS
cord-140977-mg04drna	40	12	must	must	MD
cord-140977-mg04drna	40	13	be	be	VB
cord-140977-mg04drna	40	14	well	well	RB
cord-140977-mg04drna	40	15	understood	understand	VBN
cord-140977-mg04drna	40	16	,	,	,
cord-140977-mg04drna	40	17	in	in	IN
cord-140977-mg04drna	40	18	the	the	DT
cord-140977-mg04drna	40	19	sense	sense	NN
cord-140977-mg04drna	40	20	of	of	IN
cord-140977-mg04drna	40	21	their	-PRON-	PRP$
cord-140977-mg04drna	40	22	role	role	NN
cord-140977-mg04drna	40	23	in	in	IN
cord-140977-mg04drna	40	24	the	the	DT
cord-140977-mg04drna	40	25	problem	problem	NN
cord-140977-mg04drna	40	26	.	.	.
cord-140977-mg04drna	41	1	Let	let	VB
cord-140977-mg04drna	41	2	us	-PRON-	PRP
cord-140977-mg04drna	41	3	consider	consider	VB
cord-140977-mg04drna	41	4	a	a	DT
cord-140977-mg04drna	41	5	country	country	NN
cord-140977-mg04drna	41	6	where	where	WRB
cord-140977-mg04drna	41	7	the	the	DT
cord-140977-mg04drna	41	8	disease	disease	NN
cord-140977-mg04drna	41	9	starts	start	VBZ
cord-140977-mg04drna	41	10	to	to	TO
cord-140977-mg04drna	41	11	outbreak	outbreak	VB
cord-140977-mg04drna	41	12	due	due	IN
cord-140977-mg04drna	41	13	to	to	IN
cord-140977-mg04drna	41	14	a	a	DT
cord-140977-mg04drna	41	15	small	small	JJ
cord-140977-mg04drna	41	16	number	number	NN
cord-140977-mg04drna	41	17	of	of	IN
cord-140977-mg04drna	41	18	infected	infected	JJ
cord-140977-mg04drna	41	19	individuals	individual	NNS
cord-140977-mg04drna	41	20	.	.	.
cord-140977-mg04drna	42	1	In	in	IN
cord-140977-mg04drna	42	2	this	this	DT
cord-140977-mg04drna	42	3	stage	stage	NN
cord-140977-mg04drna	42	4	we	-PRON-	PRP
cord-140977-mg04drna	42	5	assume	assume	VBP
cord-140977-mg04drna	42	6	that	that	IN
cord-140977-mg04drna	42	7	the	the	DT
cord-140977-mg04drna	42	8	country	country	NN
cord-140977-mg04drna	42	9	has	have	VBZ
cord-140977-mg04drna	42	10	been	be	VBN
cord-140977-mg04drna	42	11	isolated	isolate	VBN
cord-140977-mg04drna	42	12	in	in	IN
cord-140977-mg04drna	42	13	a	a	DT
cord-140977-mg04drna	42	14	relatively	relatively	RB
cord-140977-mg04drna	42	15	high	high	JJ
cord-140977-mg04drna	42	16	degree	degree	NN
cord-140977-mg04drna	42	17	,	,	,
cord-140977-mg04drna	42	18	but	but	CC
cord-140977-mg04drna	42	19	of	of	IN
cord-140977-mg04drna	42	20	course	course	NN
cord-140977-mg04drna	42	21	not	not	RB
cord-140977-mg04drna	42	22	ideally	ideally	RB
cord-140977-mg04drna	42	23	.	.	.
cord-140977-mg04drna	43	1	At	at	IN
cord-140977-mg04drna	43	2	this	this	DT
cord-140977-mg04drna	43	3	point	point	NN
cord-140977-mg04drna	43	4	,	,	,
cord-140977-mg04drna	43	5	the	the	DT
cord-140977-mg04drna	43	6	disease	disease	NN
cord-140977-mg04drna	43	7	starts	start	VBZ
cord-140977-mg04drna	43	8	with	with	IN
cord-140977-mg04drna	43	9	a	a	DT
cord-140977-mg04drna	43	10	transmission	transmission	NN
cord-140977-mg04drna	43	11	rate	rate	NN
cord-140977-mg04drna	43	12	which	which	WDT
cord-140977-mg04drna	43	13	depends	depend	VBZ
cord-140977-mg04drna	43	14	on	on	IN
cord-140977-mg04drna	43	15	the	the	DT
cord-140977-mg04drna	43	16	dynamics	dynamic	NNS
cord-140977-mg04drna	43	17	of	of	IN
cord-140977-mg04drna	43	18	the	the	DT
cord-140977-mg04drna	43	19	spread	spread	NN
cord-140977-mg04drna	43	20	in	in	IN
cord-140977-mg04drna	43	21	each	each	DT
cord-140977-mg04drna	43	22	city	city	NN
cord-140977-mg04drna	43	23	and	and	CC
cord-140977-mg04drna	43	24	village	village	NN
cord-140977-mg04drna	43	25	,	,	,
cord-140977-mg04drna	43	26	while	while	IN
cord-140977-mg04drna	43	27	other	other	JJ
cord-140977-mg04drna	43	28	inherent	inherent	JJ
cord-140977-mg04drna	43	29	properties	property	NNS
cord-140977-mg04drna	43	30	of	of	IN
cord-140977-mg04drna	43	31	the	the	DT
cord-140977-mg04drna	43	32	disease	disease	NN
cord-140977-mg04drna	43	33	affect	affect	VB
cord-140977-mg04drna	43	34	its	-PRON-	PRP$
cord-140977-mg04drna	43	35	dynamics	dynamic	NNS
cord-140977-mg04drna	43	36	(	(	-LRB-
cord-140977-mg04drna	43	37	e.g.	e.g.	IN
cord-140977-mg04drna	43	38	the	the	DT
cord-140977-mg04drna	43	39	immune	immune	JJ
cord-140977-mg04drna	43	40	reaction	reaction	NN
cord-140977-mg04drna	43	41	,	,	,
cord-140977-mg04drna	43	42	the	the	DT
cord-140977-mg04drna	43	43	incubation	incubation	NN
cord-140977-mg04drna	43	44	time	time	NN
cord-140977-mg04drna	43	45	and	and	CC
cord-140977-mg04drna	43	46	recovering	recover	VBG
cord-140977-mg04drna	43	47	time	time	NN
cord-140977-mg04drna	43	48	)	)	-RRB-
cord-140977-mg04drna	43	49	.	.	.
cord-140977-mg04drna	44	1	At	at	IN
cord-140977-mg04drna	44	2	this	this	DT
cord-140977-mg04drna	44	3	point	point	NN
cord-140977-mg04drna	44	4	,	,	,
cord-140977-mg04drna	44	5	we	-PRON-	PRP
cord-140977-mg04drna	44	6	must	must	MD
cord-140977-mg04drna	44	7	clarify	clarify	VB
cord-140977-mg04drna	44	8	also	also	RB
cord-140977-mg04drna	44	9	the	the	DT
cord-140977-mg04drna	44	10	issue	issue	NN
cord-140977-mg04drna	44	11	of	of	IN
cord-140977-mg04drna	44	12	the	the	DT
cord-140977-mg04drna	44	13	"	"	``
cord-140977-mg04drna	44	14	size	size	NN
cord-140977-mg04drna	44	15	"	"	''
cord-140977-mg04drna	44	16	of	of	IN
cord-140977-mg04drna	44	17	the	the	DT
cord-140977-mg04drna	44	18	epidemic	epidemic	NN
cord-140977-mg04drna	44	19	.	.	.
cord-140977-mg04drna	45	1	The	the	DT
cord-140977-mg04drna	45	2	SIR	SIR	NNP
cord-140977-mg04drna	45	3	-	-	HYPH
cord-140977-mg04drna	45	4	based	base	VBN
cord-140977-mg04drna	45	5	models	model	NNS
cord-140977-mg04drna	45	6	assume	assume	VBP
cord-140977-mg04drna	45	7	that	that	IN
cord-140977-mg04drna	45	8	the	the	DT
cord-140977-mg04drna	45	9	size	size	NN
cord-140977-mg04drna	45	10	,	,	,
cord-140977-mg04drna	45	11	N	N	NNP
cord-140977-mg04drna	45	12	,	,	,
cord-140977-mg04drna	45	13	that	that	DT
cord-140977-mg04drna	45	14	is	be	VBZ
cord-140977-mg04drna	45	15	the	the	DT
cord-140977-mg04drna	45	16	total	total	JJ
cord-140977-mg04drna	45	17	number	number	NN
cord-140977-mg04drna	45	18	of	of	IN
cord-140977-mg04drna	45	19	individuals	individual	NNS
cord-140977-mg04drna	45	20	exposable	exposable	JJ
cord-140977-mg04drna	45	21	to	to	IN
cord-140977-mg04drna	45	22	the	the	DT
cord-140977-mg04drna	45	23	disease	disease	NN
cord-140977-mg04drna	45	24	is	be	VBZ
cord-140977-mg04drna	45	25	unchanged	unchanged	JJ
cord-140977-mg04drna	45	26	during	during	IN
cord-140977-mg04drna	45	27	its	-PRON-	PRP$
cord-140977-mg04drna	45	28	evolution	evolution	NN
cord-140977-mg04drna	45	29	,	,	,
cord-140977-mg04drna	45	30	a	a	DT
cord-140977-mg04drna	45	31	fact	fact	NN
cord-140977-mg04drna	45	32	which	which	WDT
cord-140977-mg04drna	45	33	can	can	MD
cord-140977-mg04drna	45	34	not	not	RB
cord-140977-mg04drna	45	35	be	be	VB
cord-140977-mg04drna	45	36	exactly	exactly	RB
cord-140977-mg04drna	45	37	true	true	JJ
cord-140977-mg04drna	45	38	.	.	.
cord-140977-mg04drna	46	1	On	on	IN
cord-140977-mg04drna	46	2	the	the	DT
cord-140977-mg04drna	46	3	other	other	JJ
cord-140977-mg04drna	46	4	hand	hand	NN
cord-140977-mg04drna	46	5	,	,	,
cord-140977-mg04drna	46	6	a	a	DT
cord-140977-mg04drna	46	7	fraction	fraction	NN
cord-140977-mg04drna	46	8	of	of	IN
cord-140977-mg04drna	46	9	the	the	DT
cord-140977-mg04drna	46	10	size	size	NN
cord-140977-mg04drna	46	11	concerns	concern	VBZ
cord-140977-mg04drna	46	12	individuals	individual	NNS
cord-140977-mg04drna	46	13	who	who	WP
cord-140977-mg04drna	46	14	are	be	VBP
cord-140977-mg04drna	46	15	in	in	IN
cord-140977-mg04drna	46	16	quarantine	quarantine	NN
cord-140977-mg04drna	46	17	for	for	IN
cord-140977-mg04drna	46	18	different	different	JJ
cord-140977-mg04drna	46	19	reasons	reason	NNS
cord-140977-mg04drna	46	20	(	(	-LRB-
cord-140977-mg04drna	46	21	due	due	IN
cord-140977-mg04drna	46	22	to	to	IN
cord-140977-mg04drna	46	23	tracing	trace	VBG
cord-140977-mg04drna	46	24	or	or	CC
cord-140977-mg04drna	46	25	for	for	IN
cord-140977-mg04drna	46	26	precautionary	precautionary	JJ
cord-140977-mg04drna	46	27	reasons	reason	NNS
cord-140977-mg04drna	46	28	)	)	-RRB-
cord-140977-mg04drna	46	29	.	.	.
cord-140977-mg04drna	47	1	Therefore	therefore	RB
cord-140977-mg04drna	47	2	,	,	,
cord-140977-mg04drna	47	3	the	the	DT
cord-140977-mg04drna	47	4	size	size	NN
cord-140977-mg04drna	47	5	can	can	MD
cord-140977-mg04drna	47	6	not	not	RB
cord-140977-mg04drna	47	7	be	be	VB
cord-140977-mg04drna	47	8	absolutely	absolutely	RB
cord-140977-mg04drna	47	9	constant	constant	JJ
cord-140977-mg04drna	47	10	and	and	CC
cord-140977-mg04drna	47	11	the	the	DT
cord-140977-mg04drna	47	12	forecasting	forecasting	NN
cord-140977-mg04drna	47	13	at	at	IN
cord-140977-mg04drna	47	14	the	the	DT
cord-140977-mg04drna	47	15	first	first	JJ
cord-140977-mg04drna	47	16	stage	stage	NN
cord-140977-mg04drna	47	17	(	(	-LRB-
cord-140977-mg04drna	47	18	during	during	IN
cord-140977-mg04drna	47	19	the	the	DT
cord-140977-mg04drna	47	20	growing	growing	NN
cord-140977-mg04drna	47	21	of	of	IN
cord-140977-mg04drna	47	22	the	the	DT
cord-140977-mg04drna	47	23	epidemic	epidemic	NN
cord-140977-mg04drna	47	24	)	)	-RRB-
cord-140977-mg04drna	47	25	should	should	MD
cord-140977-mg04drna	47	26	be	be	VB
cord-140977-mg04drna	47	27	very	very	RB
cord-140977-mg04drna	47	28	uncertain	uncertain	JJ
cord-140977-mg04drna	47	29	.	.	.
cord-140977-mg04drna	48	1	In	in	IN
cord-140977-mg04drna	48	2	the	the	DT
cord-140977-mg04drna	48	3	second	second	JJ
cord-140977-mg04drna	48	4	stage	stage	NN
cord-140977-mg04drna	48	5	(	(	-LRB-
cord-140977-mg04drna	48	6	around	around	IN
cord-140977-mg04drna	48	7	the	the	DT
cord-140977-mg04drna	48	8	turning	turning	NN
cord-140977-mg04drna	48	9	point	point	NN
cord-140977-mg04drna	48	10	)	)	-RRB-
cord-140977-mg04drna	48	11	,	,	,
cord-140977-mg04drna	48	12	the	the	DT
cord-140977-mg04drna	48	13	situation	situation	NN
cord-140977-mg04drna	48	14	is	be	VBZ
cord-140977-mg04drna	48	15	more	more	RBR
cord-140977-mg04drna	48	16	clear	clear	JJ
cord-140977-mg04drna	48	17	by	by	IN
cord-140977-mg04drna	48	18	means	mean	NNS
cord-140977-mg04drna	48	19	of	of	IN
cord-140977-mg04drna	48	20	more	more	RBR
cord-140977-mg04drna	48	21	accurate	accurate	JJ
cord-140977-mg04drna	48	22	parametrization	parametrization	NN
cord-140977-mg04drna	48	23	,	,	,
cord-140977-mg04drna	48	24	although	although	IN
cord-140977-mg04drna	48	25	high	high	JJ
cord-140977-mg04drna	48	26	fluctuations	fluctuation	NNS
cord-140977-mg04drna	48	27	could	could	MD
cord-140977-mg04drna	48	28	still	still	RB
cord-140977-mg04drna	48	29	be	be	VB
cord-140977-mg04drna	48	30	present	present	JJ
cord-140977-mg04drna	48	31	.	.	.
cord-140977-mg04drna	49	1	At	at	IN
cord-140977-mg04drna	49	2	the	the	DT
cord-140977-mg04drna	49	3	third	third	JJ
cord-140977-mg04drna	49	4	stage	stage	NN
cord-140977-mg04drna	49	5	(	(	-LRB-
cord-140977-mg04drna	49	6	mitigation	mitigation	NN
cord-140977-mg04drna	49	7	or	or	CC
cord-140977-mg04drna	49	8	suppress	suppress	VB
cord-140977-mg04drna	49	9	)	)	-RRB-
cord-140977-mg04drna	49	10	,	,	,
cord-140977-mg04drna	49	11	an	an	DT
cord-140977-mg04drna	49	12	overall	overall	JJ
cord-140977-mg04drna	49	13	parametrization	parametrization	NN
cord-140977-mg04drna	49	14	can	can	MD
cord-140977-mg04drna	49	15	be	be	VB
cord-140977-mg04drna	49	16	made	make	VBN
cord-140977-mg04drna	49	17	and	and	CC
cord-140977-mg04drna	49	18	any	any	DT
cord-140977-mg04drna	49	19	trial	trial	NN
cord-140977-mg04drna	49	20	for	for	IN
cord-140977-mg04drna	49	21	forecasting	forecasting	NN
cord-140977-mg04drna	49	22	concerns	concern	NNS
cord-140977-mg04drna	49	23	a	a	DT
cord-140977-mg04drna	49	24	likely	likely	JJ
cord-140977-mg04drna	49	25	future	future	JJ
cord-140977-mg04drna	49	26	comeback	comeback	NN
cord-140977-mg04drna	49	27	of	of	IN
cord-140977-mg04drna	49	28	the	the	DT
cord-140977-mg04drna	49	29	epidemic	epidemic	NN
cord-140977-mg04drna	49	30	.	.	.
cord-140977-mg04drna	50	1	In	in	IN
cord-140977-mg04drna	50	2	any	any	DT
cord-140977-mg04drna	50	3	of	of	IN
cord-140977-mg04drna	50	4	the	the	DT
cord-140977-mg04drna	50	5	three	three	CD
cord-140977-mg04drna	50	6	stages	stage	NNS
cord-140977-mg04drna	50	7	regardless	regardless	RB
cord-140977-mg04drna	50	8	of	of	IN
cord-140977-mg04drna	50	9	the	the	DT
cord-140977-mg04drna	50	10	level	level	NN
cord-140977-mg04drna	50	11	of	of	IN
cord-140977-mg04drna	50	12	uncertainties	uncertainty	NNS
cord-140977-mg04drna	50	13	the	the	DT
cord-140977-mg04drna	50	14	parametrization	parametrization	NN
cord-140977-mg04drna	50	15	specifies	specify	VBZ
cord-140977-mg04drna	50	16	the	the	DT
cord-140977-mg04drna	50	17	associated	associate	VBN
cord-140977-mg04drna	50	18	parameters	parameter	NNS
cord-140977-mg04drna	50	19	according	accord	VBG
cord-140977-mg04drna	50	20	to	to	IN
cord-140977-mg04drna	50	21	the	the	DT
cord-140977-mg04drna	50	22	epidemic	epidemic	NN
cord-140977-mg04drna	50	23	model	model	NN
cord-140977-mg04drna	50	24	used	use	VBN
cord-140977-mg04drna	50	25	.	.	.
cord-140977-mg04drna	51	1	It	-PRON-	PRP
cord-140977-mg04drna	51	2	is	be	VBZ
cord-140977-mg04drna	51	3	known	know	VBN
cord-140977-mg04drna	51	4	that	that	IN
cord-140977-mg04drna	51	5	the	the	DT
cord-140977-mg04drna	51	6	"	"	``
cord-140977-mg04drna	51	7	basic	basic	JJ
cord-140977-mg04drna	51	8	reproductive	reproductive	JJ
cord-140977-mg04drna	51	9	number	number	NN
cord-140977-mg04drna	51	10	"	"	''
cord-140977-mg04drna	51	11	symbolized	symbolize	VBN
cord-140977-mg04drna	51	12	by	by	IN
cord-140977-mg04drna	51	13	R	r	NN
cord-140977-mg04drna	51	14	0	0	CD
cord-140977-mg04drna	51	15	is	be	VBZ
cord-140977-mg04drna	51	16	a	a	DT
cord-140977-mg04drna	51	17	very	very	RB
cord-140977-mg04drna	51	18	important	important	JJ
cord-140977-mg04drna	51	19	parameter	parameter	NN
cord-140977-mg04drna	51	20	of	of	IN
cord-140977-mg04drna	51	21	the	the	DT
cord-140977-mg04drna	51	22	spreading	spreading	NN
cord-140977-mg04drna	51	23	of	of	IN
cord-140977-mg04drna	51	24	the	the	DT
cord-140977-mg04drna	51	25	epidemic	epidemic	NN
cord-140977-mg04drna	51	26	.	.	.
cord-140977-mg04drna	52	1	In	in	IN
cord-140977-mg04drna	52	2	the	the	DT
cord-140977-mg04drna	52	3	SIR	SIR	NNP
cord-140977-mg04drna	52	4	-	-	HYPH
cord-140977-mg04drna	52	5	based	base	VBN
cord-140977-mg04drna	52	6	models	model	NNS
cord-140977-mg04drna	52	7	it	-PRON-	PRP
cord-140977-mg04drna	52	8	is	be	VBZ
cord-140977-mg04drna	52	9	determined	determine	VBN
cord-140977-mg04drna	52	10	at	at	IN
cord-140977-mg04drna	52	11	the	the	DT
cord-140977-mg04drna	52	12	first	first	JJ
cord-140977-mg04drna	52	13	moments	moment	NNS
cord-140977-mg04drna	52	14	of	of	IN
cord-140977-mg04drna	52	15	the	the	DT
cord-140977-mg04drna	52	16	epidemic	epidemic	NN
cord-140977-mg04drna	52	17	(	(	-LRB-
cord-140977-mg04drna	52	18	mathematically	mathematically	RB
cord-140977-mg04drna	52	19	at	at	IN
cord-140977-mg04drna	52	20	t	t	NN
cord-140977-mg04drna	52	21	=	=	SYM
cord-140977-mg04drna	52	22	0	0	CD
cord-140977-mg04drna	52	23	)	)	-RRB-
cord-140977-mg04drna	52	24	and	and	CC
cord-140977-mg04drna	52	25	is	be	VBZ
cord-140977-mg04drna	52	26	related	relate	VBN
cord-140977-mg04drna	52	27	to	to	IN
cord-140977-mg04drna	52	28	the	the	DT
cord-140977-mg04drna	52	29	associated	associate	VBN
cord-140977-mg04drna	52	30	parameters	parameter	NNS
cord-140977-mg04drna	52	31	.	.	.
cord-140977-mg04drna	53	1	Moreover	moreover	RB
cord-140977-mg04drna	53	2	,	,	,
cord-140977-mg04drna	53	3	as	as	IN
cord-140977-mg04drna	53	4	it	-PRON-	PRP
cord-140977-mg04drna	53	5	is	be	VBZ
cord-140977-mg04drna	53	6	proven	prove	VBN
cord-140977-mg04drna	53	7	in	in	IN
cord-140977-mg04drna	53	8	the	the	DT
cord-140977-mg04drna	53	9	next	next	JJ
cord-140977-mg04drna	53	10	,	,	,
cord-140977-mg04drna	53	11	this	this	DT
cord-140977-mg04drna	53	12	parameter	parameter	NN
cord-140977-mg04drna	53	13	does	do	VBZ
cord-140977-mg04drna	53	14	n't	not	RB
cord-140977-mg04drna	53	15	depend	depend	VB
cord-140977-mg04drna	53	16	on	on	IN
cord-140977-mg04drna	53	17	the	the	DT
cord-140977-mg04drna	53	18	size	size	NN
cord-140977-mg04drna	53	19	N	n	CD
cord-140977-mg04drna	53	20	of	of	IN
cord-140977-mg04drna	53	21	the	the	DT
cord-140977-mg04drna	53	22	epidemic	epidemic	NN
cord-140977-mg04drna	53	23	.	.	.
cord-140977-mg04drna	54	1	By	by	IN
cord-140977-mg04drna	54	2	using	use	VBG
cord-140977-mg04drna	54	3	the	the	DT
cord-140977-mg04drna	54	4	present	present	JJ
cord-140977-mg04drna	54	5	parametrization	parametrization	NN
cord-140977-mg04drna	54	6	model	model	NN
cord-140977-mg04drna	54	7	we	-PRON-	PRP
cord-140977-mg04drna	54	8	assume	assume	VBP
cord-140977-mg04drna	54	9	that	that	IN
cord-140977-mg04drna	54	10	the	the	DT
cord-140977-mg04drna	54	11	size	size	NN
cord-140977-mg04drna	54	12	of	of	IN
cord-140977-mg04drna	54	13	the	the	DT
cord-140977-mg04drna	54	14	epidemic	epidemic	NN
cord-140977-mg04drna	54	15	is	be	VBZ
cord-140977-mg04drna	54	16	,	,	,
cord-140977-mg04drna	54	17	not	not	RB
cord-140977-mg04drna	54	18	only	only	RB
cord-140977-mg04drna	54	19	unknown	unknown	JJ
cord-140977-mg04drna	54	20	,	,	,
cord-140977-mg04drna	54	21	but	but	CC
cord-140977-mg04drna	54	22	also	also	RB
cord-140977-mg04drna	54	23	much	much	RB
cord-140977-mg04drna	54	24	smaller	small	JJR
cord-140977-mg04drna	54	25	than	than	IN
cord-140977-mg04drna	54	26	the	the	DT
cord-140977-mg04drna	54	27	population	population	NN
cord-140977-mg04drna	54	28	of	of	IN
cord-140977-mg04drna	54	29	the	the	DT
cord-140977-mg04drna	54	30	country	country	NN
cord-140977-mg04drna	54	31	or	or	CC
cord-140977-mg04drna	54	32	city	city	NN
cord-140977-mg04drna	54	33	under	under	IN
cord-140977-mg04drna	54	34	study	study	NN
cord-140977-mg04drna	54	35	,	,	,
cord-140977-mg04drna	54	36	that	that	RB
cord-140977-mg04drna	54	37	is	is	RB
cord-140977-mg04drna	54	38	,	,	,
cord-140977-mg04drna	54	39	it	-PRON-	PRP
cord-140977-mg04drna	54	40	constitutes	constitute	VBZ
cord-140977-mg04drna	54	41	an	an	DT
cord-140977-mg04drna	54	42	unbiased	unbiased	JJ
cord-140977-mg04drna	54	43	sample	sample	NN
cord-140977-mg04drna	54	44	of	of	IN
cord-140977-mg04drna	54	45	the	the	DT
cord-140977-mg04drna	54	46	potentially	potentially	RB
cord-140977-mg04drna	54	47	exposable	exposable	JJ
cord-140977-mg04drna	54	48	generic	generic	JJ
cord-140977-mg04drna	54	49	population	population	NN
cord-140977-mg04drna	54	50	.	.	.
cord-140977-mg04drna	55	1	Once	once	RB
cord-140977-mg04drna	55	2	the	the	DT
cord-140977-mg04drna	55	3	epidemic	epidemic	NN
cord-140977-mg04drna	55	4	is	be	VBZ
cord-140977-mg04drna	55	5	pretty	pretty	RB
cord-140977-mg04drna	55	6	much	much	RB
cord-140977-mg04drna	55	7	eliminated	eliminate	VBN
cord-140977-mg04drna	55	8	,	,	,
cord-140977-mg04drna	55	9	the	the	DT
cord-140977-mg04drna	55	10	size	size	NN
cord-140977-mg04drna	55	11	could	could	MD
cord-140977-mg04drna	55	12	be	be	VB
cord-140977-mg04drna	55	13	also	also	RB
cord-140977-mg04drna	55	14	estimated	estimate	VBN
cord-140977-mg04drna	55	15	"	"	``
cord-140977-mg04drna	55	16	a	a	DT
cord-140977-mg04drna	55	17	posteriori	posteriori	FW
cord-140977-mg04drna	55	18	"	"	''
cord-140977-mg04drna	55	19	by	by	IN
cord-140977-mg04drna	55	20	the	the	DT
cord-140977-mg04drna	55	21	help	help	NN
cord-140977-mg04drna	55	22	of	of	IN
cord-140977-mg04drna	55	23	a	a	DT
cord-140977-mg04drna	55	24	SIR	SIR	NNP
cord-140977-mg04drna	55	25	-	-	HYPH
cord-140977-mg04drna	55	26	based	base	VBN
cord-140977-mg04drna	55	27	model	model	NN
cord-140977-mg04drna	55	28	.	.	.
cord-140977-mg04drna	56	1	However	however	RB
cord-140977-mg04drna	56	2	,	,	,
cord-140977-mg04drna	56	3	in	in	IN
cord-140977-mg04drna	56	4	this	this	DT
cord-140977-mg04drna	56	5	case	case	NN
cord-140977-mg04drna	56	6	,	,	,
cord-140977-mg04drna	56	7	the	the	DT
cord-140977-mg04drna	56	8	parameters	parameter	NNS
cord-140977-mg04drna	56	9	of	of	IN
cord-140977-mg04drna	56	10	the	the	DT
cord-140977-mg04drna	56	11	spread	spread	NN
cord-140977-mg04drna	56	12	,	,	,
cord-140977-mg04drna	56	13	as	as	RB
cord-140977-mg04drna	56	14	well	well	RB
cord-140977-mg04drna	56	15	as	as	IN
cord-140977-mg04drna	56	16	,	,	,
cord-140977-mg04drna	56	17	the	the	DT
cord-140977-mg04drna	56	18	reproductive	reproductive	JJ
cord-140977-mg04drna	56	19	number	number	NN
cord-140977-mg04drna	56	20	are	be	VBP
cord-140977-mg04drna	56	21	already	already	RB
cord-140977-mg04drna	56	22	determined	determine	VBN
cord-140977-mg04drna	56	23	by	by	IN
cord-140977-mg04drna	56	24	the	the	DT
cord-140977-mg04drna	56	25	methodology	methodology	NN
cord-140977-mg04drna	56	26	given	give	VBN
cord-140977-mg04drna	56	27	in	in	IN
cord-140977-mg04drna	56	28	the	the	DT
cord-140977-mg04drna	56	29	next	next	JJ
cord-140977-mg04drna	56	30	.	.	.
cord-140977-mg04drna	57	1	We	-PRON-	PRP
cord-140977-mg04drna	57	2	consider	consider	VBP
cord-140977-mg04drna	57	3	that	that	IN
cord-140977-mg04drna	57	4	this	this	DT
cord-140977-mg04drna	57	5	more	more	RBR
cord-140977-mg04drna	57	6	generic	generic	JJ
cord-140977-mg04drna	57	7	approach	approach	NN
cord-140977-mg04drna	57	8	facilitates	facilitate	VBZ
cord-140977-mg04drna	57	9	the	the	DT
cord-140977-mg04drna	57	10	fitting	fitting	JJ
cord-140977-mg04drna	57	11	process	process	NN
cord-140977-mg04drna	57	12	and	and	CC
cord-140977-mg04drna	57	13	improves	improve	VBZ
cord-140977-mg04drna	57	14	the	the	DT
cord-140977-mg04drna	57	15	accuracy	accuracy	NN
cord-140977-mg04drna	57	16	because	because	IN
cord-140977-mg04drna	57	17	of	of	IN
cord-140977-mg04drna	57	18	the	the	DT
cord-140977-mg04drna	57	19	existence	existence	NN
cord-140977-mg04drna	57	20	of	of	IN
cord-140977-mg04drna	57	21	an	an	DT
cord-140977-mg04drna	57	22	analytical	analytical	JJ
cord-140977-mg04drna	57	23	mathematically	mathematically	RB
cord-140977-mg04drna	57	24	optimal	optimal	JJ
cord-140977-mg04drna	57	25	solution	solution	NN
cord-140977-mg04drna	57	26	.	.	.
cord-140977-mg04drna	58	1	3	3	LS
cord-140977-mg04drna	59	1	Coupling	couple	VBG
cord-140977-mg04drna	59	2	with	with	IN
cord-140977-mg04drna	59	3	the	the	DT
cord-140977-mg04drna	59	4	SIR	SIR	NNP
cord-140977-mg04drna	59	5	-	-	HYPH
cord-140977-mg04drna	59	6	based	base	VBN
cord-140977-mg04drna	59	7	models	model	NNS
cord-140977-mg04drna	59	8	3	3	CD
cord-140977-mg04drna	59	9	 	 	_SP
cord-140977-mg04drna	59	10	The	the	DT
cord-140977-mg04drna	59	11	classical	classical	JJ
cord-140977-mg04drna	59	12	model	model	NN
cord-140977-mg04drna	59	13	for	for	IN
cord-140977-mg04drna	59	14	studying	study	VBG
cord-140977-mg04drna	59	15	the	the	DT
cord-140977-mg04drna	59	16	spread	spread	NN
cord-140977-mg04drna	59	17	of	of	IN
cord-140977-mg04drna	59	18	an	an	DT
cord-140977-mg04drna	59	19	epidemic	epidemic	NN
cord-140977-mg04drna	59	20	,	,	,
cord-140977-mg04drna	59	21	SIR	SIR	NNP
cord-140977-mg04drna	59	22	,	,	,
cord-140977-mg04drna	59	23	belongs	belong	VBZ
cord-140977-mg04drna	59	24	to	to	IN
cord-140977-mg04drna	59	25	the	the	DT
cord-140977-mg04drna	59	26	Mathematical	Mathematical	NNP
cord-140977-mg04drna	59	27	or	or	CC
cord-140977-mg04drna	59	28	State	State	NNP
cord-140977-mg04drna	59	29	-	-	HYPH
cord-140977-mg04drna	59	30	Space	Space	NNP
cord-140977-mg04drna	59	31	category	category	NN
cord-140977-mg04drna	59	32	of	of	IN
cord-140977-mg04drna	59	33	models	model	NNS
cord-140977-mg04drna	59	34	along	along	IN
cord-140977-mg04drna	59	35	with	with	IN
cord-140977-mg04drna	59	36	a	a	DT
cord-140977-mg04drna	59	37	large	large	JJ
cord-140977-mg04drna	59	38	number	number	NN
cord-140977-mg04drna	59	39	of	of	IN
cord-140977-mg04drna	59	40	other	other	JJ
cord-140977-mg04drna	59	41	types	type	NNS
cord-140977-mg04drna	59	42	which	which	WDT
cord-140977-mg04drna	59	43	are	be	VBP
cord-140977-mg04drna	59	44	analytically	analytically	RB
cord-140977-mg04drna	59	45	described	describe	VBN
cord-140977-mg04drna	59	46	in	in	IN
cord-140977-mg04drna	59	47	[	[	-LRB-
cord-140977-mg04drna	59	48	9	9	CD
cord-140977-mg04drna	59	49	]	]	-RRB-
cord-140977-mg04drna	59	50	.	.	.
cord-140977-mg04drna	60	1	Our	-PRON-	PRP$
cord-140977-mg04drna	60	2	model	model	NN
cord-140977-mg04drna	60	3	belongs	belong	VBZ
cord-140977-mg04drna	60	4	to	to	IN
cord-140977-mg04drna	60	5	the	the	DT
cord-140977-mg04drna	60	6	continuum	continuum	NN
cord-140977-mg04drna	60	7	deterministic	deterministic	JJ
cord-140977-mg04drna	60	8	SIR	SIR	NNP
cord-140977-mg04drna	60	9	models	model	NNS
cord-140977-mg04drna	60	10	in	in	IN
cord-140977-mg04drna	60	11	the	the	DT
cord-140977-mg04drna	60	12	special	special	JJ
cord-140977-mg04drna	60	13	case	case	NN
cord-140977-mg04drna	60	14	applied	apply	VBN
cord-140977-mg04drna	60	15	at	at	IN
cord-140977-mg04drna	60	16	the	the	DT
cord-140977-mg04drna	60	17	earlier	early	JJR
cord-140977-mg04drna	60	18	stage	stage	NN
cord-140977-mg04drna	60	19	of	of	IN
cord-140977-mg04drna	60	20	an	an	DT
cord-140977-mg04drna	60	21	epidemic	epidemic	NN
cord-140977-mg04drna	60	22	,	,	,
cord-140977-mg04drna	60	23	assuming	assume	VBG
cord-140977-mg04drna	60	24	that	that	IN
cord-140977-mg04drna	60	25	the	the	DT
cord-140977-mg04drna	60	26	population	population	NN
cord-140977-mg04drna	60	27	is	be	VBZ
cord-140977-mg04drna	60	28	much	much	RB
cord-140977-mg04drna	60	29	greater	great	JJR
cord-140977-mg04drna	60	30	than	than	IN
cord-140977-mg04drna	60	31	the	the	DT
cord-140977-mg04drna	60	32	infected	infected	JJ
cord-140977-mg04drna	60	33	number	number	NN
cord-140977-mg04drna	60	34	of	of	IN
cord-140977-mg04drna	60	35	people	people	NNS
cord-140977-mg04drna	60	36	[	[	-LRB-
cord-140977-mg04drna	60	37	8	8	CD
cord-140977-mg04drna	60	38	]	]	-RRB-
cord-140977-mg04drna	60	39	.	.	.
cord-140977-mg04drna	61	1	This	this	DT
cord-140977-mg04drna	61	2	model	model	NN
cord-140977-mg04drna	61	3	can	can	MD
cord-140977-mg04drna	61	4	be	be	VB
cord-140977-mg04drna	61	5	applied	apply	VBN
cord-140977-mg04drna	61	6	also	also	RB
cord-140977-mg04drna	61	7	when	when	WRB
cord-140977-mg04drna	61	8	the	the	DT
cord-140977-mg04drna	61	9	epidemic	epidemic	NN
cord-140977-mg04drna	61	10	is	be	VBZ
cord-140977-mg04drna	61	11	in	in	IN
cord-140977-mg04drna	61	12	each	each	DT
cord-140977-mg04drna	61	13	latest	late	JJS
cord-140977-mg04drna	61	14	stage	stage	NN
cord-140977-mg04drna	61	15	where	where	WRB
cord-140977-mg04drna	61	16	the	the	DT
cord-140977-mg04drna	61	17	total	total	JJ
cord-140977-mg04drna	61	18	number	number	NN
cord-140977-mg04drna	61	19	of	of	IN
cord-140977-mg04drna	61	20	infected	infected	JJ
cord-140977-mg04drna	61	21	individuals	individual	NNS
cord-140977-mg04drna	61	22	is	be	VBZ
cord-140977-mg04drna	61	23	an	an	DT
cord-140977-mg04drna	61	24	unbiased	unbiased	JJ
cord-140977-mg04drna	61	25	sample	sample	NN
cord-140977-mg04drna	61	26	of	of	IN
cord-140977-mg04drna	61	27	the	the	DT
cord-140977-mg04drna	61	28	population	population	NN
cord-140977-mg04drna	61	29	.	.	.
cord-140977-mg04drna	62	1	Under	under	IN
cord-140977-mg04drna	62	2	these	these	DT
cord-140977-mg04drna	62	3	assumptions	assumption	NNS
cord-140977-mg04drna	62	4	,	,	,
cord-140977-mg04drna	62	5	this	this	DT
cord-140977-mg04drna	62	6	model	model	NN
cord-140977-mg04drna	62	7	can	can	MD
cord-140977-mg04drna	62	8	be	be	VB
cord-140977-mg04drna	62	9	related	relate	VBN
cord-140977-mg04drna	62	10	to	to	IN
cord-140977-mg04drna	62	11	the	the	DT
cord-140977-mg04drna	62	12	classical	classical	JJ
cord-140977-mg04drna	62	13	SIR	SIR	NNP
cord-140977-mg04drna	62	14	model	model	NN
cord-140977-mg04drna	62	15	,	,	,
cord-140977-mg04drna	62	16	or	or	CC
cord-140977-mg04drna	62	17	even	even	RB
cord-140977-mg04drna	62	18	with	with	IN
cord-140977-mg04drna	62	19	its	-PRON-	PRP$
cord-140977-mg04drna	62	20	extensions	extension	NNS
cord-140977-mg04drna	62	21	(	(	-LRB-
cord-140977-mg04drna	62	22	SEIR	SEIR	NNP
cord-140977-mg04drna	62	23	and	and	CC
cord-140977-mg04drna	62	24	SIRD	SIRD	NNP
cord-140977-mg04drna	62	25	)	)	-RRB-
cord-140977-mg04drna	62	26	,	,	,
cord-140977-mg04drna	62	27	by	by	IN
cord-140977-mg04drna	62	28	means	mean	NNS
cord-140977-mg04drna	62	29	of	of	IN
cord-140977-mg04drna	62	30	correlating	correlate	VBG
cord-140977-mg04drna	62	31	their	-PRON-	PRP$
cord-140977-mg04drna	62	32	parameters	parameter	NNS
cord-140977-mg04drna	62	33	.	.	.
cord-140977-mg04drna	63	1	Below	below	RB
cord-140977-mg04drna	63	2	,	,	,
cord-140977-mg04drna	63	3	we	-PRON-	PRP
cord-140977-mg04drna	63	4	give	give	VBP
cord-140977-mg04drna	63	5	a	a	DT
cord-140977-mg04drna	63	6	brief	brief	JJ
cord-140977-mg04drna	63	7	description	description	NN
cord-140977-mg04drna	63	8	of	of	IN
cord-140977-mg04drna	63	9	the	the	DT
cord-140977-mg04drna	63	10	basic	basic	JJ
cord-140977-mg04drna	63	11	SIR	SIR	NNP
cord-140977-mg04drna	63	12	epidemic	epidemic	NN
cord-140977-mg04drna	63	13	model	model	NN
cord-140977-mg04drna	63	14	.	.	.
cord-140977-mg04drna	64	1	Let	let	VB
cord-140977-mg04drna	64	2	us	-PRON-	PRP
cord-140977-mg04drna	64	3	describe	describe	VB
cord-140977-mg04drna	64	4	briefly	briefly	NN
cord-140977-mg04drna	64	5	the	the	DT
cord-140977-mg04drna	64	6	three	three	CD
cord-140977-mg04drna	64	7	state	state	NN
cord-140977-mg04drna	64	8	equations	equation	NNS
cord-140977-mg04drna	64	9	of	of	IN
cord-140977-mg04drna	64	10	the	the	DT
cord-140977-mg04drna	64	11	SIR	SIR	NNP
cord-140977-mg04drna	64	12	model	model	NN
cord-140977-mg04drna	64	13	:	:	:
cord-140977-mg04drna	65	1	The	the	DT
cord-140977-mg04drna	65	2	function	function	NN
cord-140977-mg04drna	65	3	S	s	NN
cord-140977-mg04drna	65	4	=	=	SYM
cord-140977-mg04drna	65	5	S(t	S(t	NNP
cord-140977-mg04drna	65	6	)	)	-RRB-
cord-140977-mg04drna	65	7	represents	represent	VBZ
cord-140977-mg04drna	65	8	the	the	DT
cord-140977-mg04drna	65	9	number	number	NN
cord-140977-mg04drna	65	10	of	of	IN
cord-140977-mg04drna	65	11	susceptible	susceptible	JJ
cord-140977-mg04drna	65	12	individuals	individual	NNS
cord-140977-mg04drna	65	13	,	,	,
cord-140977-mg04drna	65	14	I	-PRON-	PRP
cord-140977-mg04drna	65	15	=	=	SYM
cord-140977-mg04drna	65	16	I(t	I(t	NNP
cord-140977-mg04drna	65	17	)	)	-RRB-
cord-140977-mg04drna	66	1	the	the	DT
cord-140977-mg04drna	66	2	number	number	NN
cord-140977-mg04drna	66	3	of	of	IN
cord-140977-mg04drna	66	4	infected	infected	JJ
cord-140977-mg04drna	66	5	individuals	individual	NNS
cord-140977-mg04drna	66	6	and	and	CC
cord-140977-mg04drna	66	7	R	r	NN
cord-140977-mg04drna	66	8	=	=	SYM
cord-140977-mg04drna	66	9	R(t	r(t	NN
cord-140977-mg04drna	66	10	)	)	-RRB-
cord-140977-mg04drna	67	1	the	the	DT
cord-140977-mg04drna	67	2	number	number	NN
cord-140977-mg04drna	67	3	of	of	IN
cord-140977-mg04drna	67	4	recovered	recover	VBN
cord-140977-mg04drna	67	5	individuals	individual	NNS
cord-140977-mg04drna	67	6	,	,	,
cord-140977-mg04drna	67	7	all	all	DT
cord-140977-mg04drna	67	8	referred	refer	VBN
cord-140977-mg04drna	67	9	per	per	IN
cord-140977-mg04drna	67	10	unit	unit	NN
cord-140977-mg04drna	67	11	time	time	NN
cord-140977-mg04drna	67	12	,	,	,
cord-140977-mg04drna	67	13	usually	usually	RB
cord-140977-mg04drna	67	14	measured	measure	VBN
cord-140977-mg04drna	67	15	in	in	IN
cord-140977-mg04drna	67	16	[	[	-LRB-
cord-140977-mg04drna	67	17	days	day	NNS
cord-140977-mg04drna	67	18	]	]	-RRB-
cord-140977-mg04drna	67	19	.	.	.
cord-140977-mg04drna	68	1	The	the	DT
cord-140977-mg04drna	68	2	constant	constant	JJ
cord-140977-mg04drna	68	3	factor	factor	NN
cord-140977-mg04drna	68	4	a	a	DT
cord-140977-mg04drna	68	5	is	be	VBZ
cord-140977-mg04drna	68	6	the	the	DT
cord-140977-mg04drna	68	7	transmission	transmission	NN
cord-140977-mg04drna	68	8	rate	rate	NN
cord-140977-mg04drna	68	9	,	,	,
cord-140977-mg04drna	68	10	the	the	DT
cord-140977-mg04drna	68	11	constant	constant	JJ
cord-140977-mg04drna	68	12	factor	factor	NN
cord-140977-mg04drna	69	1	β	β	NN
cord-140977-mg04drna	69	2	is	be	VBZ
cord-140977-mg04drna	69	3	the	the	DT
cord-140977-mg04drna	69	4	recovering	recover	VBG
cord-140977-mg04drna	69	5	rate	rate	NN
cord-140977-mg04drna	69	6	and	and	CC
cord-140977-mg04drna	69	7	N	n	NN
cord-140977-mg04drna	69	8	is	be	VBZ
cord-140977-mg04drna	69	9	the	the	DT
cord-140977-mg04drna	69	10	size	size	NN
cord-140977-mg04drna	69	11	of	of	IN
cord-140977-mg04drna	69	12	the	the	DT
cord-140977-mg04drna	69	13	system	system	NN
cord-140977-mg04drna	69	14	(	(	-LRB-
cord-140977-mg04drna	69	15	the	the	DT
cord-140977-mg04drna	69	16	total	total	JJ
cord-140977-mg04drna	69	17	number	number	NN
cord-140977-mg04drna	69	18	of	of	IN
cord-140977-mg04drna	69	19	individuals	individual	NNS
cord-140977-mg04drna	69	20	assumed	assume	VBN
cord-140977-mg04drna	69	21	constant	constant	JJ
cord-140977-mg04drna	69	22	in	in	IN
cord-140977-mg04drna	69	23	time	time	NN
cord-140977-mg04drna	69	24	)	)	-RRB-
cord-140977-mg04drna	69	25	,	,	,
cord-140977-mg04drna	69	26	that	that	RB
cord-140977-mg04drna	69	27	is	is	RB
cord-140977-mg04drna	69	28	,	,	,
cord-140977-mg04drna	69	29	S	S	NNP
cord-140977-mg04drna	70	1	+	+	CC
cord-140977-mg04drna	71	1	I	-PRON-	PRP
cord-140977-mg04drna	71	2	+	+	CC
cord-140977-mg04drna	72	1	R	r	NN
cord-140977-mg04drna	72	2	=	=	SYM
cord-140977-mg04drna	72	3	N	n	NN
cord-140977-mg04drna	72	4	,	,	,
cord-140977-mg04drna	72	5	at	at	IN
cord-140977-mg04drna	72	6	every	every	DT
cord-140977-mg04drna	72	7	time	time	NN
cord-140977-mg04drna	72	8	.	.	.
cord-140977-mg04drna	73	1	The	the	DT
cord-140977-mg04drna	73	2	assumptions	assumption	NNS
cord-140977-mg04drna	73	3	concerning	concern	VBG
cord-140977-mg04drna	73	4	the	the	DT
cord-140977-mg04drna	73	5	initial	initial	JJ
cord-140977-mg04drna	73	6	and	and	CC
cord-140977-mg04drna	73	7	final	final	JJ
cord-140977-mg04drna	73	8	conditions	condition	NNS
cord-140977-mg04drna	73	9	are	be	VBP
cord-140977-mg04drna	73	10	,	,	,
cord-140977-mg04drna	73	11	S(0	S(0	NNP
cord-140977-mg04drna	73	12	)	)	-RRB-
cord-140977-mg04drna	73	13	=	=	SYM
cord-140977-mg04drna	73	14	0	0	CD
cord-140977-mg04drna	73	15	,	,	,
cord-140977-mg04drna	73	16	S(∞	S(∞	NNP
cord-140977-mg04drna	73	17	)	)	-RRB-
cord-140977-mg04drna	73	18	>	>	XX
cord-140977-mg04drna	73	19	0	0	NFP
cord-140977-mg04drna	73	20	,	,	,
cord-140977-mg04drna	73	21	I(∞	I(∞	NNP
cord-140977-mg04drna	73	22	)	)	-RRB-
cord-140977-mg04drna	73	23	=	=	SYM
cord-140977-mg04drna	73	24	0	0	NFP
cord-140977-mg04drna	74	1	and	and	CC
cord-140977-mg04drna	74	2	This	this	DT
cord-140977-mg04drna	74	3	model	model	NN
cord-140977-mg04drna	74	4	does	do	VBZ
cord-140977-mg04drna	74	5	not	not	RB
cord-140977-mg04drna	74	6	have	have	VB
cord-140977-mg04drna	74	7	an	an	DT
cord-140977-mg04drna	74	8	analytical	analytical	JJ
cord-140977-mg04drna	74	9	mathematical	mathematical	JJ
cord-140977-mg04drna	74	10	solution	solution	NN
cord-140977-mg04drna	74	11	additional	additional	JJ
cord-140977-mg04drna	74	12	the	the	DT
cord-140977-mg04drna	74	13	two	two	CD
cord-140977-mg04drna	74	14	parameters	parameter	NNS
cord-140977-mg04drna	74	15	a	a	DT
cord-140977-mg04drna	74	16	and	and	CC
cord-140977-mg04drna	74	17	β	β	NN
cord-140977-mg04drna	74	18	are	be	VBP
cord-140977-mg04drna	74	19	constant	constant	JJ
cord-140977-mg04drna	74	20	during	during	IN
cord-140977-mg04drna	74	21	the	the	DT
cord-140977-mg04drna	74	22	spread	spread	NN
cord-140977-mg04drna	74	23	of	of	IN
cord-140977-mg04drna	74	24	the	the	DT
cord-140977-mg04drna	74	25	epidemic	epidemic	NN
cord-140977-mg04drna	74	26	.	.	.
cord-140977-mg04drna	75	1	A	a	DT
cord-140977-mg04drna	75	2	solution	solution	NN
cord-140977-mg04drna	75	3	is	be	VBZ
cord-140977-mg04drna	75	4	derived	derive	VBN
cord-140977-mg04drna	75	5	only	only	RB
cord-140977-mg04drna	75	6	with	with	IN
cord-140977-mg04drna	75	7	the	the	DT
cord-140977-mg04drna	75	8	approximation	approximation	NN
cord-140977-mg04drna	75	9	,	,	,
cord-140977-mg04drna	75	10	βR	βR	NNP
cord-140977-mg04drna	75	11	/	/	SYM
cord-140977-mg04drna	75	12	N	n	NN
cord-140977-mg04drna	75	13	<	<	XX
cord-140977-mg04drna	75	14	1	1	CD
cord-140977-mg04drna	75	15	,	,	,
cord-140977-mg04drna	75	16	that	that	RB
cord-140977-mg04drna	75	17	is	is	RB
cord-140977-mg04drna	75	18	,	,	,
cord-140977-mg04drna	75	19	when	when	WRB
cord-140977-mg04drna	75	20	the	the	DT
cord-140977-mg04drna	75	21	epidemic	epidemic	NN
cord-140977-mg04drna	75	22	essentially	essentially	RB
cord-140977-mg04drna	75	23	concerns	concern	VBZ
cord-140977-mg04drna	75	24	a	a	DT
cord-140977-mg04drna	75	25	small	small	JJ
cord-140977-mg04drna	75	26	number	number	NN
cord-140977-mg04drna	75	27	of	of	IN
cord-140977-mg04drna	75	28	recovered	recover	VBN
cord-140977-mg04drna	75	29	compared	compare	VBN
cord-140977-mg04drna	75	30	to	to	IN
cord-140977-mg04drna	75	31	the	the	DT
cord-140977-mg04drna	75	32	total	total	JJ
cord-140977-mg04drna	75	33	number	number	NN
cord-140977-mg04drna	75	34	of	of	IN
cord-140977-mg04drna	75	35	individuals	individual	NNS
cord-140977-mg04drna	75	36	.	.	.
cord-140977-mg04drna	76	1	In	in	IN
cord-140977-mg04drna	76	2	this	this	DT
cord-140977-mg04drna	76	3	case	case	NN
cord-140977-mg04drna	76	4	a	a	DT
cord-140977-mg04drna	76	5	Taylor	Taylor	NNP
cord-140977-mg04drna	76	6	's	's	POS
cord-140977-mg04drna	76	7	expansion	expansion	NN
cord-140977-mg04drna	76	8	to	to	IN
cord-140977-mg04drna	76	9	an	an	DT
cord-140977-mg04drna	76	10	exponential	exponential	JJ
cord-140977-mg04drna	76	11	function	function	NN
cord-140977-mg04drna	76	12	is	be	VBZ
cord-140977-mg04drna	76	13	used	use	VBN
cord-140977-mg04drna	76	14	.	.	.
cord-140977-mg04drna	77	1	In	in	IN
cord-140977-mg04drna	77	2	our	-PRON-	PRP$
cord-140977-mg04drna	77	3	study	study	NN
cord-140977-mg04drna	77	4	,	,	,
cord-140977-mg04drna	77	5	we	-PRON-	PRP
cord-140977-mg04drna	77	6	work	work	VBP
cord-140977-mg04drna	77	7	for	for	IN
cord-140977-mg04drna	77	8	the	the	DT
cord-140977-mg04drna	77	9	general	general	JJ
cord-140977-mg04drna	77	10	case	case	NN
cord-140977-mg04drna	77	11	without	without	IN
cord-140977-mg04drna	77	12	this	this	DT
cord-140977-mg04drna	77	13	assumption	assumption	NN
cord-140977-mg04drna	77	14	.	.	.
cord-140977-mg04drna	78	1	In	in	IN
cord-140977-mg04drna	78	2	our	-PRON-	PRP$
cord-140977-mg04drna	78	3	basic	basic	JJ
cord-140977-mg04drna	78	4	model	model	NN
cord-140977-mg04drna	78	5	,	,	,
cord-140977-mg04drna	78	6	C(t	C(t	NNP
cord-140977-mg04drna	78	7	)	)	-RRB-
cord-140977-mg04drna	78	8	,	,	,
cord-140977-mg04drna	78	9	the	the	DT
cord-140977-mg04drna	78	10	integral	integral	NN
cord-140977-mg04drna	78	11	of	of	IN
cord-140977-mg04drna	78	12	the	the	DT
cord-140977-mg04drna	78	13	function	function	NN
cord-140977-mg04drna	78	14	c(t	c(t	VBN
cord-140977-mg04drna	78	15	)	)	-RRB-
cord-140977-mg04drna	78	16	,	,	,
cord-140977-mg04drna	78	17	must	must	MD
cord-140977-mg04drna	78	18	be	be	VB
cord-140977-mg04drna	78	19	compared	compare	VBN
cord-140977-mg04drna	78	20	to	to	IN
cord-140977-mg04drna	78	21	the	the	DT
cord-140977-mg04drna	78	22	total	total	JJ
cord-140977-mg04drna	78	23	number	number	NN
cord-140977-mg04drna	78	24	of	of	IN
cord-140977-mg04drna	78	25	infected	infected	JJ
cord-140977-mg04drna	78	26	individuals	individual	NNS
cord-140977-mg04drna	78	27	I	-PRON-	PRP
cord-140977-mg04drna	78	28	,	,	,
cord-140977-mg04drna	78	29	while	while	IN
cord-140977-mg04drna	78	30	the	the	DT
cord-140977-mg04drna	78	31	parameter	parameter	NN
cord-140977-mg04drna	78	32	A	a	NN
cord-140977-mg04drna	78	33	undertakes	undertake	VBZ
cord-140977-mg04drna	78	34	the	the	DT
cord-140977-mg04drna	78	35	scaling	scaling	NN
cord-140977-mg04drna	78	36	of	of	IN
cord-140977-mg04drna	78	37	the	the	DT
cord-140977-mg04drna	78	38	particular	particular	JJ
cord-140977-mg04drna	78	39	data	datum	NNS
cord-140977-mg04drna	78	40	.	.	.
cord-140977-mg04drna	79	1	The	the	DT
cord-140977-mg04drna	79	2	parameter	parameter	NN
cord-140977-mg04drna	79	3	τ	τ	NN
cord-140977-mg04drna	79	4	does	do	VBZ
cord-140977-mg04drna	79	5	not	not	RB
cord-140977-mg04drna	79	6	necessarily	necessarily	RB
cord-140977-mg04drna	79	7	coincides	coincide	VBZ
cord-140977-mg04drna	79	8	with	with	IN
cord-140977-mg04drna	79	9	the	the	DT
cord-140977-mg04drna	79	10	inverse	inverse	NN
cord-140977-mg04drna	79	11	of	of	IN
cord-140977-mg04drna	79	12	the	the	DT
cord-140977-mg04drna	79	13	"	"	``
cord-140977-mg04drna	79	14	mean	mean	JJ
cord-140977-mg04drna	79	15	infection	infection	NN
cord-140977-mg04drna	79	16	rate	rate	NN
cord-140977-mg04drna	79	17	"	"	''
cord-140977-mg04drna	79	18	,	,	,
cord-140977-mg04drna	79	19	a	a	DT
cord-140977-mg04drna	79	20	,	,	,
cord-140977-mg04drna	79	21	but	but	CC
cord-140977-mg04drna	79	22	1	1	CD
cord-140977-mg04drna	79	23	/	/	SYM
cord-140977-mg04drna	79	24	τ	τ	NN
cord-140977-mg04drna	79	25	expresses	express	VBZ
cord-140977-mg04drna	79	26	an	an	DT
cord-140977-mg04drna	79	27	"	"	``
cord-140977-mg04drna	79	28	effective	effective	JJ
cord-140977-mg04drna	79	29	transmission	transmission	NN
cord-140977-mg04drna	79	30	rate	rate	NN
cord-140977-mg04drna	79	31	"	"	''
cord-140977-mg04drna	79	32	in	in	IN
cord-140977-mg04drna	79	33	our	-PRON-	PRP$
cord-140977-mg04drna	79	34	model	model	NN
cord-140977-mg04drna	79	35	.	.	.
cord-140977-mg04drna	80	1	The	the	DT
cord-140977-mg04drna	80	2	parameter	parameter	NN
cord-140977-mg04drna	80	3	n	n	NN
cord-140977-mg04drna	80	4	can	can	MD
cord-140977-mg04drna	80	5	not	not	RB
cord-140977-mg04drna	80	6	be	be	VB
cord-140977-mg04drna	80	7	equalized	equalize	VBN
cord-140977-mg04drna	80	8	to	to	IN
cord-140977-mg04drna	80	9	any	any	DT
cord-140977-mg04drna	80	10	of	of	IN
cord-140977-mg04drna	80	11	the	the	DT
cord-140977-mg04drna	80	12	parameters	parameter	NNS
cord-140977-mg04drna	80	13	of	of	IN
cord-140977-mg04drna	80	14	the	the	DT
cord-140977-mg04drna	80	15	SIR	SIR	NNP
cord-140977-mg04drna	80	16	model	model	NN
cord-140977-mg04drna	80	17	.	.	.
cord-140977-mg04drna	81	1	However	however	RB
cord-140977-mg04drna	81	2	,	,	,
cord-140977-mg04drna	81	3	this	this	DT
cord-140977-mg04drna	81	4	parameter	parameter	NN
cord-140977-mg04drna	81	5	contributes	contribute	VBZ
cord-140977-mg04drna	81	6	to	to	IN
cord-140977-mg04drna	81	7	the	the	DT
cord-140977-mg04drna	81	8	key	key	JJ
cord-140977-mg04drna	81	9	parameter	parameter	NN
cord-140977-mg04drna	81	10	of	of	IN
cord-140977-mg04drna	81	11	the	the	DT
cord-140977-mg04drna	81	12	epidemic	epidemic	NN
cord-140977-mg04drna	81	13	spread	spread	NN
cord-140977-mg04drna	81	14	,	,	,
cord-140977-mg04drna	81	15	the	the	DT
cord-140977-mg04drna	81	16	so	so	RB
cord-140977-mg04drna	81	17	-	-	HYPH
cord-140977-mg04drna	81	18	called	call	VBN
cord-140977-mg04drna	81	19	"	"	``
cord-140977-mg04drna	81	20	basic	basic	JJ
cord-140977-mg04drna	81	21	reproductive	reproductive	JJ
cord-140977-mg04drna	81	22	number	number	NN
cord-140977-mg04drna	81	23	"	"	''
cord-140977-mg04drna	81	24	,	,	,
cord-140977-mg04drna	81	25	R	R	NNP
cord-140977-mg04drna	81	26	0	0	CD
cord-140977-mg04drna	81	27	,	,	,
cord-140977-mg04drna	81	28	which	which	WDT
cord-140977-mg04drna	81	29	is	be	VBZ
cord-140977-mg04drna	81	30	defined	define	VBN
cord-140977-mg04drna	81	31	at	at	IN
cord-140977-mg04drna	81	32	t	t	NN
cord-140977-mg04drna	81	33	=	=	SYM
cord-140977-mg04drna	81	34	0	0	NFP
cord-140977-mg04drna	81	35	and	and	CC
cord-140977-mg04drna	81	36	is	be	VBZ
cord-140977-mg04drna	81	37	equal	equal	JJ
cord-140977-mg04drna	81	38	to	to	IN
cord-140977-mg04drna	81	39	R	r	NN
cord-140977-mg04drna	81	40	0	0	CD
cord-140977-mg04drna	81	41	=	=	NFP
cord-140977-mg04drna	82	1	(	(	-LRB-
cord-140977-mg04drna	82	2	a	a	DT
cord-140977-mg04drna	82	3	/	/	SYM
cord-140977-mg04drna	82	4	β)(S(0)/N	β)(S(0)/N	NNP
cord-140977-mg04drna	82	5	)	)	-RRB-
cord-140977-mg04drna	82	6	,	,	.
cord-140977-mg04drna	83	1	where	where	WRB
cord-140977-mg04drna	83	2	β	β	NN
cord-140977-mg04drna	83	3	is	be	VBZ
cord-140977-mg04drna	83	4	the	the	DT
cord-140977-mg04drna	83	5	"	"	``
cord-140977-mg04drna	83	6	mean	mean	VB
cord-140977-mg04drna	83	7	recovering	recover	VBG
cord-140977-mg04drna	83	8	rate	rate	NN
cord-140977-mg04drna	83	9	"	"	''
cord-140977-mg04drna	83	10	.	.	.
cord-140977-mg04drna	84	1	Because	because	IN
cord-140977-mg04drna	84	2	S(0	S(0	NNP
cord-140977-mg04drna	84	3	)	)	-RRB-
cord-140977-mg04drna	85	1	≈	≈	NNP
cord-140977-mg04drna	85	2	N	N	NNP
cord-140977-mg04drna	85	3	,	,	,
cord-140977-mg04drna	85	4	it	-PRON-	PRP
cord-140977-mg04drna	85	5	becomes	become	VBZ
cord-140977-mg04drna	85	6	R	r	NN
cord-140977-mg04drna	85	7	0	0	CD
cord-140977-mg04drna	85	8	≈	≈	XX
cord-140977-mg04drna	86	1	a	a	LS
cord-140977-mg04drna	86	2	/	/	SYM
cord-140977-mg04drna	86	3	β	β	NN
cord-140977-mg04drna	86	4	.	.	.
cord-140977-mg04drna	87	1	However	however	RB
cord-140977-mg04drna	87	2	,	,	,
cord-140977-mg04drna	87	3	the	the	DT
cord-140977-mg04drna	87	4	S(0)/N	S(0)/N	NNP
cord-140977-mg04drna	87	5	)	)	-RRB-
cord-140977-mg04drna	87	6	represents	represent	VBZ
cord-140977-mg04drna	87	7	a	a	DT
cord-140977-mg04drna	87	8	basic	basic	JJ
cord-140977-mg04drna	87	9	threshold	threshold	NN
cord-140977-mg04drna	87	10	,	,	,
cord-140977-mg04drna	87	11	the	the	DT
cord-140977-mg04drna	87	12	so	so	RB
cord-140977-mg04drna	87	13	called	call	VBN
cord-140977-mg04drna	87	14	"	"	``
cord-140977-mg04drna	87	15	population	population	NN
cord-140977-mg04drna	87	16	density	density	NN
cord-140977-mg04drna	87	17	"	"	''
cord-140977-mg04drna	87	18	,	,	,
cord-140977-mg04drna	87	19	above	above	IN
cord-140977-mg04drna	87	20	which	which	WDT
cord-140977-mg04drna	87	21	the	the	DT
cord-140977-mg04drna	87	22	epidemic	epidemic	NN
cord-140977-mg04drna	87	23	is	be	VBZ
cord-140977-mg04drna	87	24	initiated	initiate	VBN
cord-140977-mg04drna	87	25	and	and	CC
cord-140977-mg04drna	87	26	growing	grow	VBG
cord-140977-mg04drna	87	27	when	when	WRB
cord-140977-mg04drna	87	28	R	r	NN
cord-140977-mg04drna	87	29	o	o	NN
cord-140977-mg04drna	87	30	=	=	,
cord-140977-mg04drna	87	31	(	(	-LRB-
cord-140977-mg04drna	87	32	a	a	NN
cord-140977-mg04drna	87	33	/	/	SYM
cord-140977-mg04drna	87	34	β	β	NN
cord-140977-mg04drna	87	35	)	)	-RRB-
cord-140977-mg04drna	88	1	>	>	XX
cord-140977-mg04drna	89	1	1	1	LS
cord-140977-mg04drna	89	2	.	.	.
cord-140977-mg04drna	90	1	Moreover	moreover	RB
cord-140977-mg04drna	90	2	the	the	DT
cord-140977-mg04drna	90	3	"	"	``
cord-140977-mg04drna	90	4	effective	effective	JJ
cord-140977-mg04drna	90	5	reproductive	reproductive	JJ
cord-140977-mg04drna	90	6	number	number	NN
cord-140977-mg04drna	90	7	"	"	''
cord-140977-mg04drna	90	8	,	,	,
cord-140977-mg04drna	90	9	R	r	NN
cord-140977-mg04drna	90	10	e	e	NN
cord-140977-mg04drna	90	11	,	,	,
cord-140977-mg04drna	90	12	a	a	DT
cord-140977-mg04drna	90	13	variable	variable	NN
cord-140977-mg04drna	90	14	as	as	IN
cord-140977-mg04drna	90	15	a	a	DT
cord-140977-mg04drna	90	16	function	function	NN
cord-140977-mg04drna	90	17	of	of	IN
cord-140977-mg04drna	90	18	time	time	NN
cord-140977-mg04drna	90	19	is	be	VBZ
cord-140977-mg04drna	90	20	also	also	RB
cord-140977-mg04drna	90	21	defined	define	VBN
cord-140977-mg04drna	90	22	by	by	IN
cord-140977-mg04drna	90	23	the	the	DT
cord-140977-mg04drna	90	24	same	same	JJ
cord-140977-mg04drna	90	25	way	way	NN
cord-140977-mg04drna	90	26	as	as	IN
cord-140977-mg04drna	90	27	follows	follow	VBZ
cord-140977-mg04drna	91	1	Because	because	IN
cord-140977-mg04drna	91	2	the	the	DT
cord-140977-mg04drna	91	3	condition	condition	NN
cord-140977-mg04drna	91	4	for	for	IN
cord-140977-mg04drna	91	5	creating	create	VBG
cord-140977-mg04drna	91	6	an	an	DT
cord-140977-mg04drna	91	7	epidemic	epidemic	NN
cord-140977-mg04drna	91	8	is	be	VBZ
cord-140977-mg04drna	91	9	R	r	NN
cord-140977-mg04drna	91	10	e	e	NN
cord-140977-mg04drna	91	11	>	>	XX
cord-140977-mg04drna	91	12	1	1	CD
cord-140977-mg04drna	91	13	,	,	,
cord-140977-mg04drna	91	14	the	the	DT
cord-140977-mg04drna	91	15	corresponding	corresponding	JJ
cord-140977-mg04drna	91	16	condition	condition	NN
cord-140977-mg04drna	91	17	should	should	MD
cord-140977-mg04drna	91	18	be	be	VB
cord-140977-mg04drna	92	1	S	S	NNP
cord-140977-mg04drna	92	2	/	/	SYM
cord-140977-mg04drna	92	3	N	N	NNP
cord-140977-mg04drna	93	1	>	>	XX
cord-140977-mg04drna	93	2	1	1	CD
cord-140977-mg04drna	93	3	/	/	SYM
cord-140977-mg04drna	93	4	R	r	NN
cord-140977-mg04drna	93	5	0	0	CD
cord-140977-mg04drna	93	6	.	.	.
cord-140977-mg04drna	94	1	Also	also	RB
cord-140977-mg04drna	94	2	,	,	,
cord-140977-mg04drna	94	3	at	at	IN
cord-140977-mg04drna	94	4	t	t	NN
cord-140977-mg04drna	94	5	=	=	SYM
cord-140977-mg04drna	94	6	0	0	CD
cord-140977-mg04drna	94	7	should	should	MD
cord-140977-mg04drna	94	8	be	be	VB
cord-140977-mg04drna	94	9	R	r	NN
cord-140977-mg04drna	94	10	e	e	NN
cord-140977-mg04drna	94	11	(	(	-LRB-
cord-140977-mg04drna	94	12	0	0	NFP
cord-140977-mg04drna	94	13	)	)	-RRB-
cord-140977-mg04drna	95	1	≡	≡	NNP
cord-140977-mg04drna	95	2	R	R	NNP
cord-140977-mg04drna	95	3	0	0	CD
cord-140977-mg04drna	95	4	,	,	,
cord-140977-mg04drna	95	5	at	at	IN
cord-140977-mg04drna	95	6	the	the	DT
cord-140977-mg04drna	95	7	peaking	peak	VBG
cord-140977-mg04drna	95	8	time	time	NN
cord-140977-mg04drna	95	9	t	t	NN
cord-140977-mg04drna	95	10	=	=	SYM
cord-140977-mg04drna	95	11	t	t	NN
cord-140977-mg04drna	95	12	p	p	NN
cord-140977-mg04drna	95	13	should	should	MD
cord-140977-mg04drna	95	14	be	be	VB
cord-140977-mg04drna	95	15	R	R	NNP
cord-140977-mg04drna	95	16	e	e	NN
cord-140977-mg04drna	95	17	(	(	-LRB-
cord-140977-mg04drna	95	18	t	t	NN
cord-140977-mg04drna	95	19	p	p	NN
cord-140977-mg04drna	95	20	)	)	-RRB-
cord-140977-mg04drna	95	21	=	=	SYM
cord-140977-mg04drna	95	22	1	1	CD
cord-140977-mg04drna	95	23	and	and	CC
cord-140977-mg04drna	95	24	at	at	IN
cord-140977-mg04drna	95	25	t	t	NN
cord-140977-mg04drna	96	1	=	=	NFP
cord-140977-mg04drna	97	1	∞	∞	NNP
cord-140977-mg04drna	97	2	takes	take	VBZ
cord-140977-mg04drna	97	3	the	the	DT
cord-140977-mg04drna	97	4	value	value	NN
cord-140977-mg04drna	97	5	R	r	NN
cord-140977-mg04drna	97	6	t	t	NN
cord-140977-mg04drna	97	7	=	=	SYM
cord-140977-mg04drna	97	8	R	r	NN
cord-140977-mg04drna	97	9	0	0	CD
cord-140977-mg04drna	97	10	S	s	NN
cord-140977-mg04drna	97	11	N	N	NNP
cord-140977-mg04drna	97	12	(	(	-LRB-
cord-140977-mg04drna	97	13	∞	∞	NNP
cord-140977-mg04drna	97	14	)	)	-RRB-
cord-140977-mg04drna	97	15	<	<	XX
cord-140977-mg04drna	97	16	R	r	NN
cord-140977-mg04drna	97	17	0	0	CD
cord-140977-mg04drna	97	18	.	.	.
cord-140977-mg04drna	98	1	By	by	IN
cord-140977-mg04drna	98	2	using	use	VBG
cord-140977-mg04drna	98	3	the	the	DT
cord-140977-mg04drna	98	4	expressions	expression	NNS
cord-140977-mg04drna	98	5	of	of	IN
cord-140977-mg04drna	98	6	Eq	Eq	NNP
cord-140977-mg04drna	98	7	.	.	NNP
cord-140977-mg04drna	98	8	9	9	CD
cord-140977-mg04drna	98	9	,	,	,
cord-140977-mg04drna	98	10	including	include	VBG
cord-140977-mg04drna	98	11	only	only	RB
cord-140977-mg04drna	98	12	the	the	DT
cord-140977-mg04drna	98	13	value	value	NN
cord-140977-mg04drna	98	14	of	of	IN
cord-140977-mg04drna	98	15	I	-PRON-	PRP
cord-140977-mg04drna	98	16	and	and	CC
cord-140977-mg04drna	98	17	its	-PRON-	PRP$
cord-140977-mg04drna	98	18	derivative	derivative	NN
cord-140977-mg04drna	98	19	,	,	,
cord-140977-mg04drna	98	20	one	one	PRP
cord-140977-mg04drna	98	21	can	can	MD
cord-140977-mg04drna	98	22	estimate	estimate	VB
cord-140977-mg04drna	98	23	roughly	roughly	RB
cord-140977-mg04drna	98	24	the	the	DT
cord-140977-mg04drna	98	25	R	r	NN
cord-140977-mg04drna	98	26	e	e	NN
cord-140977-mg04drna	98	27	at	at	IN
cord-140977-mg04drna	98	28	any	any	DT
cord-140977-mg04drna	98	29	time	time	NN
cord-140977-mg04drna	99	1	t.	t.	NNP
cord-140977-mg04drna	100	1	It	-PRON-	PRP
cord-140977-mg04drna	100	2	can	can	MD
cord-140977-mg04drna	100	3	be	be	VB
cord-140977-mg04drna	100	4	also	also	RB
cord-140977-mg04drna	100	5	shown	show	VBN
cord-140977-mg04drna	100	6	,	,	,
cord-140977-mg04drna	100	7	that	that	IN
cord-140977-mg04drna	100	8	the	the	DT
cord-140977-mg04drna	100	9	S(∞)/N	S(∞)/N	NNP
cord-140977-mg04drna	100	10	can	can	MD
cord-140977-mg04drna	100	11	be	be	VB
cord-140977-mg04drna	100	12	determined	determine	VBN
cord-140977-mg04drna	100	13	by	by	IN
cord-140977-mg04drna	100	14	solving	solve	VBG
cord-140977-mg04drna	100	15	the	the	DT
cord-140977-mg04drna	100	16	following	following	JJ
cord-140977-mg04drna	100	17	transcendental	transcendental	JJ
cord-140977-mg04drna	100	18	equation	equation	NN
cord-140977-mg04drna	100	19	numerically	numerically	RB
cord-140977-mg04drna	100	20	.	.	.
cord-140977-mg04drna	101	1	Therefore	therefore	RB
cord-140977-mg04drna	101	2	,	,	,
cord-140977-mg04drna	101	3	we	-PRON-	PRP
cord-140977-mg04drna	101	4	can	can	MD
cord-140977-mg04drna	101	5	conclude	conclude	VB
cord-140977-mg04drna	101	6	that	that	IN
cord-140977-mg04drna	101	7	for	for	IN
cord-140977-mg04drna	101	8	R	r	NN
cord-140977-mg04drna	101	9	e	e	NN
cord-140977-mg04drna	101	10	,	,	,
cord-140977-mg04drna	101	11	at	at	IN
cord-140977-mg04drna	101	12	the	the	DT
cord-140977-mg04drna	101	13	outbreak	outbreak	NN
cord-140977-mg04drna	101	14	of	of	IN
cord-140977-mg04drna	101	15	the	the	DT
cord-140977-mg04drna	101	16	epidemic	epidemic	NN
cord-140977-mg04drna	101	17	(	(	-LRB-
cord-140977-mg04drna	101	18	rising	rise	VBG
cord-140977-mg04drna	101	19	branch	branch	NN
cord-140977-mg04drna	101	20	of	of	IN
cord-140977-mg04drna	101	21	the	the	DT
cord-140977-mg04drna	101	22	curve	curve	NN
cord-140977-mg04drna	101	23	)	)	-RRB-
cord-140977-mg04drna	101	24	we	-PRON-	PRP
cord-140977-mg04drna	101	25	have	have	VBP
cord-140977-mg04drna	101	26	,	,	,
cord-140977-mg04drna	101	27	1	1	CD
cord-140977-mg04drna	101	28	<	<	XX
cord-140977-mg04drna	101	29	R	r	NN
cord-140977-mg04drna	101	30	e	e	NN
cord-140977-mg04drna	101	31	<	<	XX
cord-140977-mg04drna	101	32	R	r	NN
cord-140977-mg04drna	101	33	0	0	CD
cord-140977-mg04drna	101	34	,	,	,
cord-140977-mg04drna	101	35	exactly	exactly	RB
cord-140977-mg04drna	101	36	at	at	IN
cord-140977-mg04drna	101	37	the	the	DT
cord-140977-mg04drna	101	38	peak	peak	NN
cord-140977-mg04drna	101	39	of	of	IN
cord-140977-mg04drna	101	40	the	the	DT
cord-140977-mg04drna	101	41	curve	curve	NN
cord-140977-mg04drna	101	42	,	,	.
cord-140977-mg04drna	102	1	R	r	NN
cord-140977-mg04drna	102	2	e	e	NN
cord-140977-mg04drna	102	3	=	=	NN
cord-140977-mg04drna	102	4	1	1	CD
cord-140977-mg04drna	103	1	(	(	-LRB-
cord-140977-mg04drna	103	2	because	because	IN
cord-140977-mg04drna	103	3	S	S	NNP
cord-140977-mg04drna	103	4	=	=	SYM
cord-140977-mg04drna	103	5	N	N	NNP
cord-140977-mg04drna	103	6	/	/	SYM
cord-140977-mg04drna	103	7	R	r	NN
cord-140977-mg04drna	103	8	0	0	CD
cord-140977-mg04drna	103	9	,	,	,
cord-140977-mg04drna	103	10	as	as	IN
cord-140977-mg04drna	103	11	we	-PRON-	PRP
cord-140977-mg04drna	103	12	explain	explain	VBP
cord-140977-mg04drna	103	13	in	in	IN
cord-140977-mg04drna	103	14	the	the	DT
cord-140977-mg04drna	103	15	next	next	JJ
cord-140977-mg04drna	103	16	)	)	-RRB-
cord-140977-mg04drna	103	17	and	and	CC
cord-140977-mg04drna	103	18	at	at	IN
cord-140977-mg04drna	103	19	the	the	DT
cord-140977-mg04drna	103	20	mitigation	mitigation	NN
cord-140977-mg04drna	103	21	stage	stage	NN
cord-140977-mg04drna	103	22	(	(	-LRB-
cord-140977-mg04drna	103	23	leading	lead	VBG
cord-140977-mg04drna	103	24	branch	branch	NN
cord-140977-mg04drna	103	25	of	of	IN
cord-140977-mg04drna	103	26	the	the	DT
cord-140977-mg04drna	103	27	curve	curve	NN
cord-140977-mg04drna	103	28	)	)	-RRB-
cord-140977-mg04drna	103	29	,	,	,
cord-140977-mg04drna	103	30	R	r	NN
cord-140977-mg04drna	103	31	e	e	NN
cord-140977-mg04drna	103	32	<	<	XX
cord-140977-mg04drna	103	33	1	1	CD
cord-140977-mg04drna	103	34	and	and	CC
cord-140977-mg04drna	103	35	tends	tend	VBZ
cord-140977-mg04drna	103	36	to	to	IN
cord-140977-mg04drna	103	37	a	a	DT
cord-140977-mg04drna	103	38	minimum	minimum	JJ
cord-140977-mg04drna	103	39	value	value	NN
cord-140977-mg04drna	103	40	at	at	IN
cord-140977-mg04drna	103	41	the	the	DT
cord-140977-mg04drna	103	42	asymptotic	asymptotic	JJ
cord-140977-mg04drna	103	43	tail	tail	NN
cord-140977-mg04drna	103	44	of	of	IN
cord-140977-mg04drna	103	45	the	the	DT
cord-140977-mg04drna	103	46	curve	curve	NN
cord-140977-mg04drna	103	47	which	which	WDT
cord-140977-mg04drna	103	48	is	be	VBZ
cord-140977-mg04drna	103	49	Once	once	RB
cord-140977-mg04drna	103	50	the	the	DT
cord-140977-mg04drna	103	51	above	above	JJ
cord-140977-mg04drna	103	52	relationship	relationship	NN
cord-140977-mg04drna	103	53	is	be	VBZ
cord-140977-mg04drna	103	54	achieved	achieve	VBN
cord-140977-mg04drna	103	55	,	,	,
cord-140977-mg04drna	103	56	the	the	DT
cord-140977-mg04drna	103	57	R	r	NN
cord-140977-mg04drna	103	58	0	0	CD
cord-140977-mg04drna	103	59	can	can	MD
cord-140977-mg04drna	103	60	be	be	VB
cord-140977-mg04drna	103	61	determined	determine	VBN
cord-140977-mg04drna	103	62	by	by	IN
cord-140977-mg04drna	103	63	solving	solve	VBG
cord-140977-mg04drna	103	64	the	the	DT
cord-140977-mg04drna	103	65	derived	derive	VBN
cord-140977-mg04drna	103	66	algebraic	algebraic	JJ
cord-140977-mg04drna	103	67	equation	equation	NN
cord-140977-mg04drna	103	68	.	.	.
cord-140977-mg04drna	104	1	Indeed	indeed	RB
cord-140977-mg04drna	104	2	,	,	,
cord-140977-mg04drna	104	3	this	this	DT
cord-140977-mg04drna	104	4	was	be	VBD
cord-140977-mg04drna	104	5	our	-PRON-	PRP$
cord-140977-mg04drna	104	6	initial	initial	JJ
cord-140977-mg04drna	104	7	motivation	motivation	NN
cord-140977-mg04drna	104	8	to	to	TO
cord-140977-mg04drna	104	9	perform	perform	VB
cord-140977-mg04drna	104	10	the	the	DT
cord-140977-mg04drna	104	11	following	follow	VBG
cord-140977-mg04drna	104	12	analysis	analysis	NN
cord-140977-mg04drna	104	13	.	.	.
cord-140977-mg04drna	105	1	The	the	DT
cord-140977-mg04drna	105	2	methodology	methodology	NN
cord-140977-mg04drna	105	3	for	for	IN
cord-140977-mg04drna	105	4	accomplishing	accomplish	VBG
cord-140977-mg04drna	105	5	it	-PRON-	PRP
cord-140977-mg04drna	105	6	,	,	,
cord-140977-mg04drna	105	7	was	be	VBD
cord-140977-mg04drna	105	8	based	base	VBN
cord-140977-mg04drna	105	9	on	on	IN
cord-140977-mg04drna	105	10	the	the	DT
cord-140977-mg04drna	105	11	idea	idea	NN
cord-140977-mg04drna	105	12	to	to	TO
cord-140977-mg04drna	105	13	exploit	exploit	VB
cord-140977-mg04drna	105	14	the	the	DT
cord-140977-mg04drna	105	15	property	property	NN
cord-140977-mg04drna	105	16	of	of	IN
cord-140977-mg04drna	105	17	our	-PRON-	PRP$
cord-140977-mg04drna	105	18	model	model	NN
cord-140977-mg04drna	105	19	at	at	IN
cord-140977-mg04drna	105	20	its	-PRON-	PRP$
cord-140977-mg04drna	105	21	maximum	maximum	NN
cord-140977-mg04drna	105	22	at	at	IN
cord-140977-mg04drna	105	23	the	the	DT
cord-140977-mg04drna	105	24	peaking	peak	VBG
cord-140977-mg04drna	105	25	time	time	NN
cord-140977-mg04drna	105	26	,	,	,
cord-140977-mg04drna	105	27	which	which	WDT
cord-140977-mg04drna	105	28	is	be	VBZ
cord-140977-mg04drna	105	29	t	t	NN
cord-140977-mg04drna	105	30	p	p	NN
cord-140977-mg04drna	105	31	=	=	SYM
cord-140977-mg04drna	105	32	nτ	nτ	NN
cord-140977-mg04drna	105	33	,	,	,
cord-140977-mg04drna	105	34	as	as	IN
cord-140977-mg04drna	105	35	it	-PRON-	PRP
cord-140977-mg04drna	105	36	can	can	MD
cord-140977-mg04drna	105	37	be	be	VB
cord-140977-mg04drna	105	38	easily	easily	RB
cord-140977-mg04drna	105	39	proven	prove	VBN
cord-140977-mg04drna	105	40	by	by	IN
cord-140977-mg04drna	105	41	differentiation	differentiation	NN
cord-140977-mg04drna	105	42	.	.	.
cord-140977-mg04drna	106	1	On	on	IN
cord-140977-mg04drna	106	2	the	the	DT
cord-140977-mg04drna	106	3	other	other	JJ
cord-140977-mg04drna	106	4	hand	hand	NN
cord-140977-mg04drna	106	5	,	,	,
cord-140977-mg04drna	106	6	in	in	IN
cord-140977-mg04drna	106	7	the	the	DT
cord-140977-mg04drna	106	8	SIR	SIR	NNP
cord-140977-mg04drna	106	9	model	model	VB
cord-140977-mg04drna	106	10	a	a	DT
cord-140977-mg04drna	106	11	peak	peak	NN
cord-140977-mg04drna	106	12	is	be	VBZ
cord-140977-mg04drna	106	13	expected	expect	VBN
cord-140977-mg04drna	106	14	some	some	DT
cord-140977-mg04drna	106	15	time	time	NN
cord-140977-mg04drna	106	16	for	for	IN
cord-140977-mg04drna	106	17	the	the	DT
cord-140977-mg04drna	106	18	function	function	NN
cord-140977-mg04drna	107	1	I	-PRON-	PRP
cord-140977-mg04drna	107	2	,	,	,
cord-140977-mg04drna	107	3	as	as	IN
cord-140977-mg04drna	107	4	the	the	DT
cord-140977-mg04drna	107	5	typical	typical	JJ
cord-140977-mg04drna	107	6	effect	effect	NN
cord-140977-mg04drna	107	7	of	of	IN
cord-140977-mg04drna	107	8	the	the	DT
cord-140977-mg04drna	107	9	epidemic	epidemic	NN
cord-140977-mg04drna	107	10	's	's	POS
cord-140977-mg04drna	107	11	spread	spread	NN
cord-140977-mg04drna	107	12	.	.	.
cord-140977-mg04drna	108	1	Considering	consider	VBG
cord-140977-mg04drna	108	2	that	that	IN
cord-140977-mg04drna	108	3	both	both	DT
cord-140977-mg04drna	108	4	models	model	NNS
cord-140977-mg04drna	108	5	can	can	MD
cord-140977-mg04drna	108	6	be	be	VB
cord-140977-mg04drna	108	7	fitted	fit	VBN
cord-140977-mg04drna	108	8	to	to	IN
cord-140977-mg04drna	108	9	the	the	DT
cord-140977-mg04drna	108	10	data	datum	NNS
cord-140977-mg04drna	108	11	,	,	,
cord-140977-mg04drna	108	12	in	in	IN
cord-140977-mg04drna	108	13	the	the	DT
cord-140977-mg04drna	108	14	vicinity	vicinity	NN
cord-140977-mg04drna	108	15	of	of	IN
cord-140977-mg04drna	108	16	the	the	DT
cord-140977-mg04drna	108	17	peak	peak	NN
cord-140977-mg04drna	108	18	must	must	MD
cord-140977-mg04drna	108	19	agree	agree	VB
cord-140977-mg04drna	108	20	,	,	,
cord-140977-mg04drna	108	21	and	and	CC
cord-140977-mg04drna	108	22	therefore	therefore	RB
cord-140977-mg04drna	108	23	,	,	,
cord-140977-mg04drna	108	24	we	-PRON-	PRP
cord-140977-mg04drna	108	25	must	must	MD
cord-140977-mg04drna	108	26	claim	claim	VB
cord-140977-mg04drna	108	27	that	that	IN
cord-140977-mg04drna	108	28	I	i	NN
cord-140977-mg04drna	108	29	p	p	NN
cord-140977-mg04drna	108	30	=	=	SYM
cord-140977-mg04drna	108	31	C(t	c(t	NN
cord-140977-mg04drna	108	32	p	p	NN
cord-140977-mg04drna	108	33	)	)	-RRB-
cord-140977-mg04drna	108	34	.	.	.
cord-140977-mg04drna	109	1	Let	let	VB
cord-140977-mg04drna	109	2	us	-PRON-	PRP
cord-140977-mg04drna	109	3	first	first	RB
cord-140977-mg04drna	109	4	find	find	VB
cord-140977-mg04drna	109	5	an	an	DT
cord-140977-mg04drna	109	6	expression	expression	NN
cord-140977-mg04drna	109	7	of	of	IN
cord-140977-mg04drna	109	8	the	the	DT
cord-140977-mg04drna	109	9	S	S	NNP
cord-140977-mg04drna	109	10	,	,	,
cord-140977-mg04drna	109	11	R	r	NN
cord-140977-mg04drna	109	12	and	and	CC
cord-140977-mg04drna	109	13	I	-PRON-	PRP
cord-140977-mg04drna	109	14	at	at	IN
cord-140977-mg04drna	109	15	the	the	DT
cord-140977-mg04drna	109	16	peaking	peak	VBG
cord-140977-mg04drna	109	17	time	time	NN
cord-140977-mg04drna	109	18	,	,	,
cord-140977-mg04drna	109	19	symbolizing	symbolize	VBG
cord-140977-mg04drna	109	20	them	-PRON-	PRP
cord-140977-mg04drna	109	21	by	by	RB
cord-140977-mg04drna	109	22	,	,	,
cord-140977-mg04drna	109	23	S	S	NNP
cord-140977-mg04drna	109	24	p	p	NNP
cord-140977-mg04drna	109	25	,	,	,
cord-140977-mg04drna	109	26	R	r	NN
cord-140977-mg04drna	109	27	p	p	NN
cord-140977-mg04drna	109	28	and	and	CC
cord-140977-mg04drna	109	29	I	i	NN
cord-140977-mg04drna	109	30	p	p	NN
cord-140977-mg04drna	109	31	respectively	respectively	RB
cord-140977-mg04drna	109	32	.	.	.
cord-140977-mg04drna	110	1	In	in	IN
cord-140977-mg04drna	110	2	order	order	NN
cord-140977-mg04drna	110	3	to	to	TO
cord-140977-mg04drna	110	4	relate	relate	VB
cord-140977-mg04drna	110	5	S	S	NNP
cord-140977-mg04drna	110	6	with	with	IN
cord-140977-mg04drna	110	7	R	r	NN
cord-140977-mg04drna	110	8	,	,	,
cord-140977-mg04drna	110	9	we	-PRON-	PRP
cord-140977-mg04drna	110	10	replace	replace	VBP
cord-140977-mg04drna	110	11	I	-PRON-	PRP
cord-140977-mg04drna	110	12	from	from	IN
cord-140977-mg04drna	110	13	Eq	Eq	NNP
cord-140977-mg04drna	110	14	.	.	.
cord-140977-mg04drna	111	1	6	6	CD
cord-140977-mg04drna	111	2	into	into	IN
cord-140977-mg04drna	111	3	Eq	Eq	NNP
cord-140977-mg04drna	111	4	.	.	.
cord-140977-mg04drna	112	1	8	8	CD
cord-140977-mg04drna	112	2	,	,	,
cord-140977-mg04drna	112	3	we	-PRON-	PRP
cord-140977-mg04drna	112	4	obtain	obtain	VBP
cord-140977-mg04drna	112	5	from	from	IN
cord-140977-mg04drna	112	6	which	which	WDT
cord-140977-mg04drna	112	7	,	,	,
cord-140977-mg04drna	112	8	taking	take	VBG
cord-140977-mg04drna	112	9	into	into	IN
cord-140977-mg04drna	112	10	account	account	NN
cord-140977-mg04drna	112	11	that	that	DT
cord-140977-mg04drna	113	1	S(0	S(0	NNP
cord-140977-mg04drna	113	2	)	)	-RRB-
cord-140977-mg04drna	114	1	≈	≈	NNP
cord-140977-mg04drna	114	2	N	N	NNP
cord-140977-mg04drna	114	3	,	,	,
cord-140977-mg04drna	114	4	we	-PRON-	PRP
cord-140977-mg04drna	114	5	derive	derive	VBP
cord-140977-mg04drna	114	6	the	the	DT
cord-140977-mg04drna	114	7	solution	solution	NN
cord-140977-mg04drna	115	1	The	the	DT
cord-140977-mg04drna	115	2	later	later	JJ
cord-140977-mg04drna	115	3	result	result	NN
cord-140977-mg04drna	115	4	at	at	IN
cord-140977-mg04drna	115	5	the	the	DT
cord-140977-mg04drna	115	6	peaking	peak	VBG
cord-140977-mg04drna	115	7	time	time	NN
cord-140977-mg04drna	115	8	gives	give	VBZ
cord-140977-mg04drna	115	9	us	-PRON-	PRP
cord-140977-mg04drna	115	10	an	an	DT
cord-140977-mg04drna	115	11	expression	expression	NN
cord-140977-mg04drna	115	12	of	of	IN
cord-140977-mg04drna	115	13	R	r	NN
cord-140977-mg04drna	115	14	p	p	NN
cord-140977-mg04drna	115	15	Also	also	RB
cord-140977-mg04drna	115	16	,	,	,
cord-140977-mg04drna	115	17	according	accord	VBG
cord-140977-mg04drna	115	18	to	to	IN
cord-140977-mg04drna	115	19	Eq	Eq	NNP
cord-140977-mg04drna	115	20	.	.	.
cord-140977-mg04drna	116	1	7	7	CD
cord-140977-mg04drna	116	2	,	,	,
cord-140977-mg04drna	116	3	at	at	IN
cord-140977-mg04drna	116	4	the	the	DT
cord-140977-mg04drna	116	5	peaking	peak	VBG
cord-140977-mg04drna	116	6	time	time	NN
cord-140977-mg04drna	116	7	we	-PRON-	PRP
cord-140977-mg04drna	116	8	might	may	MD
cord-140977-mg04drna	116	9	have	have	VB
cord-140977-mg04drna	116	10	From	from	IN
cord-140977-mg04drna	116	11	this	this	DT
cord-140977-mg04drna	116	12	equation	equation	NN
cord-140977-mg04drna	116	13	,	,	,
cord-140977-mg04drna	116	14	and	and	CC
cord-140977-mg04drna	116	15	using	use	VBG
cord-140977-mg04drna	116	16	the	the	DT
cord-140977-mg04drna	116	17	definition	definition	NN
cord-140977-mg04drna	116	18	of	of	IN
cord-140977-mg04drna	116	19	R	r	NN
cord-140977-mg04drna	116	20	0	0	CD
cord-140977-mg04drna	116	21	,	,	,
cord-140977-mg04drna	116	22	we	-PRON-	PRP
cord-140977-mg04drna	116	23	obtain	obtain	VBP
cord-140977-mg04drna	116	24	Based	base	VBN
cord-140977-mg04drna	116	25	on	on	IN
cord-140977-mg04drna	116	26	Eq	Eq	NNP
cord-140977-mg04drna	116	27	.	.	.
cord-140977-mg04drna	117	1	14	14	CD
cord-140977-mg04drna	118	1	we	-PRON-	PRP
cord-140977-mg04drna	118	2	calculate	calculate	VBP
cord-140977-mg04drna	118	3	R	r	NN
cord-140977-mg04drna	118	4	p	p	NN
cord-140977-mg04drna	118	5	as	as	IN
cord-140977-mg04drna	118	6	follows	follow	VBZ
cord-140977-mg04drna	118	7	Adding	add	VBG
cord-140977-mg04drna	118	8	the	the	DT
cord-140977-mg04drna	118	9	three	three	CD
cord-140977-mg04drna	118	10	functions	function	NNS
cord-140977-mg04drna	118	11	at	at	IN
cord-140977-mg04drna	118	12	the	the	DT
cord-140977-mg04drna	118	13	peaking	peak	VBG
cord-140977-mg04drna	118	14	time	time	NN
cord-140977-mg04drna	118	15	,	,	,
cord-140977-mg04drna	118	16	S	S	NNP
cord-140977-mg04drna	118	17	p	p	NN
cord-140977-mg04drna	118	18	,	,	,
cord-140977-mg04drna	118	19	I	i	NN
cord-140977-mg04drna	118	20	p	p	NN
cord-140977-mg04drna	118	21	and	and	CC
cord-140977-mg04drna	118	22	R	r	NN
cord-140977-mg04drna	118	23	p	p	NN
cord-140977-mg04drna	118	24	,	,	,
cord-140977-mg04drna	118	25	we	-PRON-	PRP
cord-140977-mg04drna	118	26	derive	derive	VBP
cord-140977-mg04drna	118	27	the	the	DT
cord-140977-mg04drna	118	28	algebraic	algebraic	JJ
cord-140977-mg04drna	118	29	equation	equation	NN
cord-140977-mg04drna	119	1	In	in	IN
cord-140977-mg04drna	119	2	order	order	NN
cord-140977-mg04drna	119	3	to	to	TO
cord-140977-mg04drna	119	4	achieve	achieve	VB
cord-140977-mg04drna	119	5	an	an	DT
cord-140977-mg04drna	119	6	equation	equation	NN
cord-140977-mg04drna	119	7	independent	independent	JJ
cord-140977-mg04drna	119	8	of	of	IN
cord-140977-mg04drna	119	9	size	size	NN
cord-140977-mg04drna	119	10	N	N	NNP
cord-140977-mg04drna	119	11	,	,	,
cord-140977-mg04drna	119	12	we	-PRON-	PRP
cord-140977-mg04drna	119	13	must	must	MD
cord-140977-mg04drna	119	14	express	express	VB
cord-140977-mg04drna	119	15	I	I	NNP
cord-140977-mg04drna	119	16	p	p	NNP
cord-140977-mg04drna	119	17	/N	/N	NNP
cord-140977-mg04drna	119	18	as	as	IN
cord-140977-mg04drna	119	19	a	a	DT
cord-140977-mg04drna	119	20	function	function	NN
cord-140977-mg04drna	119	21	of	of	IN
cord-140977-mg04drna	119	22	the	the	DT
cord-140977-mg04drna	119	23	model	model	NN
cord-140977-mg04drna	119	24	parameters	parameter	NNS
cord-140977-mg04drna	119	25	,	,	,
cord-140977-mg04drna	119	26	that	that	RB
cord-140977-mg04drna	119	27	is	is	RB
cord-140977-mg04drna	119	28	,	,	,
cord-140977-mg04drna	119	29	by	by	IN
cord-140977-mg04drna	119	30	using	use	VBG
cord-140977-mg04drna	119	31	the	the	DT
cord-140977-mg04drna	119	32	maximum	maximum	JJ
cord-140977-mg04drna	119	33	value	value	NN
cord-140977-mg04drna	119	34	of	of	IN
cord-140977-mg04drna	119	35	the	the	DT
cord-140977-mg04drna	119	36	model	model	NN
cord-140977-mg04drna	119	37	curve	curve	NN
cord-140977-mg04drna	119	38	[	[	-LRB-
cord-140977-mg04drna	119	39	5	5	CD
cord-140977-mg04drna	119	40	]	]	-RRB-
cord-140977-mg04drna	119	41	and	and	CC
cord-140977-mg04drna	119	42	the	the	DT
cord-140977-mg04drna	119	43	Eq	Eq	NNP
cord-140977-mg04drna	119	44	.	.	.
cord-140977-mg04drna	120	1	8	8	CD
cord-140977-mg04drna	120	2	of	of	IN
cord-140977-mg04drna	120	3	the	the	DT
cord-140977-mg04drna	120	4	SIR	SIR	NNP
cord-140977-mg04drna	120	5	model	model	NN
cord-140977-mg04drna	120	6	by	by	IN
cord-140977-mg04drna	120	7	integration	integration	NN
cord-140977-mg04drna	120	8	with	with	IN
cord-140977-mg04drna	120	9	upper	upper	JJ
cord-140977-mg04drna	120	10	limit	limit	NN
cord-140977-mg04drna	120	11	the	the	DT
cord-140977-mg04drna	120	12	infinity	infinity	NN
cord-140977-mg04drna	120	13	,	,	,
cord-140977-mg04drna	120	14	as	as	IN
cord-140977-mg04drna	120	15	follows	follow	VBZ
cord-140977-mg04drna	120	16	Aβτ	Aβτ	NNP
cord-140977-mg04drna	120	17	0	0	CD
cord-140977-mg04drna	120	18	1−n0	1−n0	CD
cord-140977-mg04drna	121	1	Γ(n	γ(n	CC
cord-140977-mg04drna	121	2	0	0	CD
cord-140977-mg04drna	122	1	+	+	CC
cord-140977-mg04drna	122	2	1	1	CD
cord-140977-mg04drna	122	3	)	)	-RRB-
cord-140977-mg04drna	122	4	1	1	CD
cord-140977-mg04drna	122	5	+	+	CC
cord-140977-mg04drna	122	6	S(∞	S(∞	NNP
cord-140977-mg04drna	122	7	)	)	-RRB-
cord-140977-mg04drna	122	8	where	where	WRB
cord-140977-mg04drna	122	9	the	the	DT
cord-140977-mg04drna	122	10	symbol	symbol	NN
cord-140977-mg04drna	122	11	Γ	Γ	NNP
cord-140977-mg04drna	122	12	represents	represent	VBZ
cord-140977-mg04drna	122	13	the	the	DT
cord-140977-mg04drna	122	14	gamma	gamma	NN
cord-140977-mg04drna	122	15	function	function	NN
cord-140977-mg04drna	122	16	,	,	,
cord-140977-mg04drna	122	17	n	n	NN
cord-140977-mg04drna	122	18	0	0	CD
cord-140977-mg04drna	122	19	and	and	CC
cord-140977-mg04drna	122	20	τ	τ	NN
cord-140977-mg04drna	122	21	0	0	NFP
cord-140977-mg04drna	123	1	are	be	VBP
cord-140977-mg04drna	123	2	the	the	DT
cord-140977-mg04drna	123	3	particular	particular	JJ
cord-140977-mg04drna	123	4	values	value	NNS
cord-140977-mg04drna	123	5	obtained	obtain	VBN
cord-140977-mg04drna	123	6	by	by	IN
cord-140977-mg04drna	123	7	a	a	DT
cord-140977-mg04drna	123	8	fitting	fitting	NN
cord-140977-mg04drna	123	9	)	)	-RRB-
cord-140977-mg04drna	123	10	and	and	CC
cord-140977-mg04drna	123	11	τ	τ	NN
cord-140977-mg04drna	123	12	0	0	CD
cord-140977-mg04drna	123	13	=	=	SYM
cord-140977-mg04drna	123	14	1	1	CD
cord-140977-mg04drna	123	15	/	/	SYM
cord-140977-mg04drna	123	16	β	β	NN
cord-140977-mg04drna	123	17	.	.	.
cord-140977-mg04drna	124	1	Replacing	replace	VBG
cord-140977-mg04drna	124	2	the	the	DT
cord-140977-mg04drna	124	3	above	above	JJ
cord-140977-mg04drna	124	4	expression	expression	NN
cord-140977-mg04drna	124	5	to	to	IN
cord-140977-mg04drna	124	6	Eq	Eq	NNP
cord-140977-mg04drna	124	7	.	.	.
cord-140977-mg04drna	125	1	18	18	CD
cord-140977-mg04drna	125	2	and	and	CC
cord-140977-mg04drna	125	3	setting	set	VBG
cord-140977-mg04drna	125	4	s	s	NN
cord-140977-mg04drna	126	1	N	n	NN
cord-140977-mg04drna	126	2	=	=	NFP
cord-140977-mg04drna	127	1	S(∞)/N	S(∞)/N	NNP
cord-140977-mg04drna	128	1	we	-PRON-	PRP
cord-140977-mg04drna	128	2	obtain	obtain	VBP
cord-140977-mg04drna	129	1	This	this	DT
cord-140977-mg04drna	129	2	transcendental	transcendental	JJ
cord-140977-mg04drna	129	3	equation	equation	NN
cord-140977-mg04drna	129	4	can	can	MD
cord-140977-mg04drna	129	5	be	be	VB
cord-140977-mg04drna	129	6	solved	solve	VBN
cord-140977-mg04drna	129	7	only	only	RB
cord-140977-mg04drna	129	8	numerically	numerically	RB
cord-140977-mg04drna	129	9	for	for	IN
cord-140977-mg04drna	129	10	R	r	NN
cord-140977-mg04drna	129	11	0	0	CD
cord-140977-mg04drna	129	12	in	in	IN
cord-140977-mg04drna	129	13	which	which	WDT
cord-140977-mg04drna	129	14	the	the	DT
cord-140977-mg04drna	129	15	combined	combined	JJ
cord-140977-mg04drna	129	16	unknown	unknown	NN
cord-140977-mg04drna	129	17	s	s	NN
cord-140977-mg04drna	129	18	N	N	NNP
cord-140977-mg04drna	129	19	is	be	VBZ
cord-140977-mg04drna	129	20	also	also	RB
cord-140977-mg04drna	129	21	found	find	VBN
cord-140977-mg04drna	129	22	numerically	numerically	RB
cord-140977-mg04drna	129	23	by	by	IN
cord-140977-mg04drna	129	24	using	use	VBG
cord-140977-mg04drna	129	25	again	again	RB
cord-140977-mg04drna	129	26	another	another	DT
cord-140977-mg04drna	129	27	transcendental	transcendental	JJ
cord-140977-mg04drna	129	28	Eq	eq	NN
cord-140977-mg04drna	129	29	.	.	.
cord-140977-mg04drna	130	1	10	10	CD
cord-140977-mg04drna	130	2	,	,	,
cord-140977-mg04drna	130	3	by	by	IN
cord-140977-mg04drna	130	4	using	use	VBG
cord-140977-mg04drna	130	5	multiple	multiple	JJ
cord-140977-mg04drna	130	6	iterations	iteration	NNS
cord-140977-mg04drna	130	7	leading	lead	VBG
cord-140977-mg04drna	130	8	to	to	IN
cord-140977-mg04drna	130	9	a	a	DT
cord-140977-mg04drna	130	10	converging	converging	JJ
cord-140977-mg04drna	130	11	accurate	accurate	JJ
cord-140977-mg04drna	130	12	solution	solution	NN
cord-140977-mg04drna	130	13	within	within	IN
cord-140977-mg04drna	130	14	12	12	CD
cord-140977-mg04drna	130	15	loops	loop	NNS
cord-140977-mg04drna	130	16	.	.	.
cord-140977-mg04drna	131	1	The	the	DT
cord-140977-mg04drna	131	2	parameter	parameter	NN
cord-140977-mg04drna	131	3	n	n	NN
cord-140977-mg04drna	131	4	of	of	IN
cord-140977-mg04drna	131	5	the	the	DT
cord-140977-mg04drna	131	6	model	model	NN
cord-140977-mg04drna	131	7	is	be	VBZ
cord-140977-mg04drna	131	8	essentially	essentially	RB
cord-140977-mg04drna	131	9	the	the	DT
cord-140977-mg04drna	131	10	expresser	expresser	NN
cord-140977-mg04drna	131	11	of	of	IN
cord-140977-mg04drna	131	12	R	R	NNP
cord-140977-mg04drna	131	13	0	0	CD
cord-140977-mg04drna	131	14	,	,	,
cord-140977-mg04drna	131	15	while	while	IN
cord-140977-mg04drna	131	16	the	the	DT
cord-140977-mg04drna	131	17	obtained	obtain	VBN
cord-140977-mg04drna	131	18	value	value	NN
cord-140977-mg04drna	131	19	of	of	IN
cord-140977-mg04drna	131	20	R	r	NN
cord-140977-mg04drna	131	21	0	0	CD
cord-140977-mg04drna	131	22	concerns	concern	VBZ
cord-140977-mg04drna	131	23	an	an	DT
cord-140977-mg04drna	131	24	hypothetical	hypothetical	JJ
cord-140977-mg04drna	131	25	SIR	SIR	NNP
cord-140977-mg04drna	131	26	model	model	NN
cord-140977-mg04drna	131	27	fitted	fit	VBN
cord-140977-mg04drna	131	28	to	to	IN
cord-140977-mg04drna	131	29	the	the	DT
cord-140977-mg04drna	131	30	data	datum	NNS
cord-140977-mg04drna	131	31	of	of	IN
cord-140977-mg04drna	131	32	the	the	DT
cord-140977-mg04drna	131	33	daily	daily	JJ
cord-140977-mg04drna	131	34	reported	report	VBN
cord-140977-mg04drna	131	35	cases	case	NNS
cord-140977-mg04drna	131	36	(	(	-LRB-
cord-140977-mg04drna	131	37	DRC	DRC	NNP
cord-140977-mg04drna	131	38	)	)	-RRB-
cord-140977-mg04drna	131	39	.	.	.
cord-140977-mg04drna	132	1	From	from	IN
cord-140977-mg04drna	132	2	the	the	DT
cord-140977-mg04drna	132	3	obtained	obtain	VBN
cord-140977-mg04drna	132	4	solution	solution	NN
cord-140977-mg04drna	132	5	for	for	IN
cord-140977-mg04drna	132	6	R	r	NN
cord-140977-mg04drna	132	7	0	0	CD
cord-140977-mg04drna	132	8	we	-PRON-	PRP
cord-140977-mg04drna	132	9	can	can	MD
cord-140977-mg04drna	132	10	also	also	RB
cord-140977-mg04drna	132	11	calculate	calculate	VB
cord-140977-mg04drna	132	12	the	the	DT
cord-140977-mg04drna	132	13	parameter	parameter	NN
cord-140977-mg04drna	132	14	a	a	DT
cord-140977-mg04drna	132	15	of	of	IN
cord-140977-mg04drna	132	16	SIR	SIR	NNP
cord-140977-mg04drna	132	17	model	model	NN
cord-140977-mg04drna	132	18	,	,	,
cord-140977-mg04drna	132	19	a	a	DT
cord-140977-mg04drna	132	20	=	=	SYM
cord-140977-mg04drna	132	21	βR	βr	XX
cord-140977-mg04drna	132	22	0	0	NFP
cord-140977-mg04drna	132	23	,	,	,
cord-140977-mg04drna	132	24	where	where	WRB
cord-140977-mg04drna	132	25	β	β	NN
cord-140977-mg04drna	132	26	can	can	MD
cord-140977-mg04drna	132	27	be	be	VB
cord-140977-mg04drna	132	28	calculated	calculate	VBN
cord-140977-mg04drna	132	29	from	from	IN
cord-140977-mg04drna	132	30	the	the	DT
cord-140977-mg04drna	132	31	peak	peak	NN
cord-140977-mg04drna	132	32	value	value	NN
cord-140977-mg04drna	132	33	of	of	IN
cord-140977-mg04drna	132	34	the	the	DT
cord-140977-mg04drna	132	35	daily	daily	JJ
cord-140977-mg04drna	132	36	reported	report	VBN
cord-140977-mg04drna	132	37	recovered	recover	VBN
cord-140977-mg04drna	132	38	individuals	individual	NNS
cord-140977-mg04drna	132	39	by	by	IN
cord-140977-mg04drna	132	40	the	the	DT
cord-140977-mg04drna	132	41	formula	formula	NN
cord-140977-mg04drna	132	42	,	,	,
cord-140977-mg04drna	132	43	β	β	NN
cord-140977-mg04drna	132	44	=	=	SYM
cord-140977-mg04drna	132	45	R	r	NN
cord-140977-mg04drna	132	46	p	p	NN
cord-140977-mg04drna	132	47	/I	/i	NN
cord-140977-mg04drna	132	48	tot	tot	NNP
cord-140977-mg04drna	132	49	,	,	,
cord-140977-mg04drna	132	50	p	p	NNP
cord-140977-mg04drna	132	51	,	,	,
cord-140977-mg04drna	132	52	where	where	WRB
cord-140977-mg04drna	132	53	I	-PRON-	PRP
cord-140977-mg04drna	132	54	tot	tot	VBP
cord-140977-mg04drna	132	55	,	,	,
cord-140977-mg04drna	132	56	p	p	NN
cord-140977-mg04drna	132	57	represents	represent	VBZ
cord-140977-mg04drna	132	58	the	the	DT
cord-140977-mg04drna	132	59	integral	integral	NN
cord-140977-mg04drna	132	60	of	of	IN
cord-140977-mg04drna	132	61	the	the	DT
cord-140977-mg04drna	132	62	DRC	DRC	NNP
cord-140977-mg04drna	132	63	curve	curve	NN
cord-140977-mg04drna	132	64	with	with	IN
cord-140977-mg04drna	132	65	upper	upper	JJ
cord-140977-mg04drna	132	66	limit	limit	NN
cord-140977-mg04drna	132	67	the	the	DT
cord-140977-mg04drna	132	68	peaking	peak	VBG
cord-140977-mg04drna	132	69	time	time	NN
cord-140977-mg04drna	132	70	t	t	NN
cord-140977-mg04drna	132	71	p	p	NN
cord-140977-mg04drna	132	72	.	.	.
cord-140977-mg04drna	133	1	In	in	IN
cord-140977-mg04drna	133	2	particular	particular	JJ
cord-140977-mg04drna	133	3	,	,	,
cord-140977-mg04drna	133	4	Implementing	implement	VBG
cord-140977-mg04drna	133	5	the	the	DT
cord-140977-mg04drna	133	6	above	above	JJ
cord-140977-mg04drna	133	7	methodology	methodology	NN
cord-140977-mg04drna	133	8	,	,	,
cord-140977-mg04drna	133	9	by	by	IN
cord-140977-mg04drna	133	10	using	use	VBG
cord-140977-mg04drna	133	11	home	home	NN
cord-140977-mg04drna	133	12	made	make	VBN
cord-140977-mg04drna	133	13	software	software	NN
cord-140977-mg04drna	133	14	codes	code	NNS
cord-140977-mg04drna	133	15	written	write	VBN
cord-140977-mg04drna	133	16	in	in	IN
cord-140977-mg04drna	133	17	Matlab	Matlab	NNP
cord-140977-mg04drna	133	18	platform	platform	NN
cord-140977-mg04drna	133	19	[	[	-LRB-
cord-140977-mg04drna	133	20	10	10	CD
cord-140977-mg04drna	133	21	]	]	-RRB-
cord-140977-mg04drna	133	22	,	,	,
cord-140977-mg04drna	133	23	we	-PRON-	PRP
cord-140977-mg04drna	133	24	obtained	obtain	VBD
cord-140977-mg04drna	133	25	the	the	DT
cord-140977-mg04drna	133	26	fitting	fitting	NN
cord-140977-mg04drna	133	27	of	of	IN
cord-140977-mg04drna	133	28	the	the	DT
cord-140977-mg04drna	133	29	DRC	DRC	NNP
cord-140977-mg04drna	133	30	curve	curve	NN
cord-140977-mg04drna	133	31	for	for	IN
cord-140977-mg04drna	133	32	Greece	Greece	NNP
cord-140977-mg04drna	133	33	at	at	IN
cord-140977-mg04drna	133	34	the	the	DT
cord-140977-mg04drna	133	35	mitigation	mitigation	NN
cord-140977-mg04drna	133	36	stage	stage	NN
cord-140977-mg04drna	133	37	,	,	,
cord-140977-mg04drna	133	38	shown	show	VBN
cord-140977-mg04drna	133	39	in	in	IN
cord-140977-mg04drna	133	40	Fig	Fig	NNP
cord-140977-mg04drna	133	41	.	.	.
cord-140977-mg04drna	134	1	1	1	CD
cord-140977-mg04drna	134	2	and	and	CC
cord-140977-mg04drna	134	3	Fig	Fig	NNP
cord-140977-mg04drna	134	4	.	.	.
cord-140977-mg04drna	135	1	2	2	LS
cord-140977-mg04drna	135	2	.	.	.
cord-140977-mg04drna	136	1	The	the	DT
cord-140977-mg04drna	136	2	fitted	fit	VBN
cord-140977-mg04drna	136	3	parameters	parameter	NNS
cord-140977-mg04drna	136	4	,	,	,
cord-140977-mg04drna	136	5	n	n	NN
cord-140977-mg04drna	136	6	0	0	CD
cord-140977-mg04drna	136	7	=	=	SYM
cord-140977-mg04drna	136	8	4.57	4.57	CD
cord-140977-mg04drna	136	9	and	and	CC
cord-140977-mg04drna	136	10	τ	τ	NN
cord-140977-mg04drna	136	11	0	0	CD
cord-140977-mg04drna	136	12	=	=	SYM
cord-140977-mg04drna	136	13	5.96	5.96	CD
cord-140977-mg04drna	136	14	and	and	CC
cord-140977-mg04drna	136	15	the	the	DT
cord-140977-mg04drna	136	16	solutions	solution	NNS
cord-140977-mg04drna	136	17	R	r	NN
cord-140977-mg04drna	136	18	0	0	CD
cord-140977-mg04drna	136	19	=	=	NFP
cord-140977-mg04drna	137	1	2.90	2.90	CD
cord-140977-mg04drna	138	1	and	and	CC
cord-140977-mg04drna	138	2	s	s	NN
cord-140977-mg04drna	138	3	N	n	NN
cord-140977-mg04drna	138	4	=	=	SYM
cord-140977-mg04drna	138	5	0.06	0.06	CD
cord-140977-mg04drna	138	6	.	.	.
cord-140977-mg04drna	139	1	For	for	IN
cord-140977-mg04drna	139	2	the	the	DT
cord-140977-mg04drna	139	3	parameter	parameter	NN
cord-140977-mg04drna	139	4	β	β	NN
cord-140977-mg04drna	139	5	we	-PRON-	PRP
cord-140977-mg04drna	139	6	used	use	VBD
cord-140977-mg04drna	139	7	a	a	DT
cord-140977-mg04drna	139	8	typical	typical	JJ
cord-140977-mg04drna	139	9	-	-	HYPH
cord-140977-mg04drna	139	10	average	average	JJ
cord-140977-mg04drna	139	11	value	value	NN
cord-140977-mg04drna	139	12	found	find	VBN
cord-140977-mg04drna	139	13	in	in	IN
cord-140977-mg04drna	139	14	the	the	DT
cord-140977-mg04drna	139	15	literature	literature	NN
cord-140977-mg04drna	139	16	where	where	WRB
cord-140977-mg04drna	139	17	,	,	,
cord-140977-mg04drna	139	18	β	β	NN
cord-140977-mg04drna	139	19	=	=	SYM
cord-140977-mg04drna	139	20	0.10	0.10	CD
cord-140977-mg04drna	139	21	and	and	CC
cord-140977-mg04drna	139	22	the	the	DT
cord-140977-mg04drna	139	23	same	same	JJ
cord-140977-mg04drna	139	24	value	value	NN
cord-140977-mg04drna	139	25	we	-PRON-	PRP
cord-140977-mg04drna	139	26	used	use	VBD
cord-140977-mg04drna	139	27	for	for	IN
cord-140977-mg04drna	139	28	the	the	DT
cord-140977-mg04drna	139	29	other	other	JJ
cord-140977-mg04drna	139	30	analyzed	analyze	VBN
cord-140977-mg04drna	139	31	countries	country	NNS
cord-140977-mg04drna	139	32	.	.	.
cord-140977-mg04drna	140	1	Two	two	CD
cord-140977-mg04drna	140	2	characteristic	characteristic	JJ
cord-140977-mg04drna	140	3	parametrizations	parametrization	NNS
cord-140977-mg04drna	140	4	of	of	IN
cord-140977-mg04drna	140	5	very	very	RB
cord-140977-mg04drna	140	6	large	large	JJ
cord-140977-mg04drna	140	7	normalized	normalize	VBN
cord-140977-mg04drna	140	8	size	size	NN
cord-140977-mg04drna	140	9	and	and	CC
cord-140977-mg04drna	140	10	very	very	RB
cord-140977-mg04drna	140	11	small	small	JJ
cord-140977-mg04drna	140	12	one	one	CD
cord-140977-mg04drna	140	13	(	(	-LRB-
cord-140977-mg04drna	140	14	64	64	CD
cord-140977-mg04drna	140	15	times	time	NNS
cord-140977-mg04drna	140	16	smaller	small	JJR
cord-140977-mg04drna	140	17	)	)	-RRB-
cord-140977-mg04drna	140	18	,	,	,
cord-140977-mg04drna	140	19	that	that	RB
cord-140977-mg04drna	140	20	is	is	RB
cord-140977-mg04drna	140	21	,	,	,
cord-140977-mg04drna	140	22	of	of	IN
cord-140977-mg04drna	140	23	Belgium	Belgium	NNP
cord-140977-mg04drna	140	24	and	and	CC
cord-140977-mg04drna	140	25	Malta	Malta	NNP
cord-140977-mg04drna	140	26	,	,	,
cord-140977-mg04drna	140	27	respectively	respectively	RB
cord-140977-mg04drna	140	28	,	,	,
cord-140977-mg04drna	140	29	are	be	VBP
cord-140977-mg04drna	140	30	given	give	VBN
cord-140977-mg04drna	140	31	in	in	IN
cord-140977-mg04drna	140	32	Fig	Fig	NNP
cord-140977-mg04drna	140	33	.	.	.
cord-140977-mg04drna	141	1	3	3	CD
cord-140977-mg04drna	141	2	and	and	CC
cord-140977-mg04drna	141	3	Fig	Fig	NNP
cord-140977-mg04drna	141	4	.	.	.
cord-140977-mg04drna	142	1	4	4	LS
cord-140977-mg04drna	142	2	.	.	.
cord-140977-mg04drna	143	1	Definitely	definitely	RB
cord-140977-mg04drna	143	2	,	,	,
cord-140977-mg04drna	143	3	without	without	IN
cord-140977-mg04drna	143	4	seeing	see	VBG
cord-140977-mg04drna	143	5	the	the	DT
cord-140977-mg04drna	143	6	vertical	vertical	JJ
cord-140977-mg04drna	143	7	scale	scale	NN
cord-140977-mg04drna	143	8	,	,	,
cord-140977-mg04drna	143	9	one	one	PRP
cord-140977-mg04drna	143	10	can	can	MD
cord-140977-mg04drna	143	11	not	not	RB
cord-140977-mg04drna	143	12	distinguish	distinguish	VB
cord-140977-mg04drna	143	13	which	which	WDT
cord-140977-mg04drna	143	14	corresponds	correspond	VBZ
cord-140977-mg04drna	143	15	a	a	DT
cord-140977-mg04drna	143	16	large	large	JJ
cord-140977-mg04drna	143	17	or	or	CC
cord-140977-mg04drna	143	18	a	a	DT
cord-140977-mg04drna	143	19	small	small	JJ
cord-140977-mg04drna	143	20	normalized	normalize	VBN
cord-140977-mg04drna	143	21	size	size	NN
cord-140977-mg04drna	143	22	.	.	.
cord-140977-mg04drna	144	1	The	the	DT
cord-140977-mg04drna	144	2	only	only	JJ
cord-140977-mg04drna	144	3	visible	visible	JJ
cord-140977-mg04drna	144	4	difference	difference	NN
cord-140977-mg04drna	144	5	at	at	IN
cord-140977-mg04drna	144	6	a	a	DT
cord-140977-mg04drna	144	7	glance	glance	NN
cord-140977-mg04drna	144	8	,	,	,
cord-140977-mg04drna	144	9	is	be	VBZ
cord-140977-mg04drna	144	10	the	the	DT
cord-140977-mg04drna	144	11	peaking	peak	VBG
cord-140977-mg04drna	144	12	time	time	NN
cord-140977-mg04drna	144	13	(	(	-LRB-
cord-140977-mg04drna	144	14	29	29	CD
cord-140977-mg04drna	144	15	and	and	CC
cord-140977-mg04drna	144	16	16	16	CD
cord-140977-mg04drna	144	17	days	day	NNS
cord-140977-mg04drna	144	18	respectively	respectively	RB
cord-140977-mg04drna	144	19	)	)	-RRB-
cord-140977-mg04drna	144	20	.	.	.
cord-140977-mg04drna	145	1	4	4	LS
cord-140977-mg04drna	145	2	Study	study	NN
cord-140977-mg04drna	145	3	of	of	IN
cord-140977-mg04drna	145	4	the	the	DT
cord-140977-mg04drna	145	5	end	end	NN
cord-140977-mg04drna	145	6	-	-	HYPH
cord-140977-mg04drna	145	7	to	to	IN
cord-140977-mg04drna	145	8	-	-	HYPH
cord-140977-mg04drna	145	9	end	end	NN
cord-140977-mg04drna	145	10	epidemic	epidemic	NN
cord-140977-mg04drna	145	11	growth	growth	NN
cord-140977-mg04drna	145	12	For	for	IN
cord-140977-mg04drna	145	13	the	the	DT
cord-140977-mg04drna	145	14	data	data	NN
cord-140977-mg04drna	145	15	analysis	analysis	NN
cord-140977-mg04drna	145	16	we	-PRON-	PRP
cord-140977-mg04drna	145	17	selected	select	VBD
cord-140977-mg04drna	145	18	the	the	DT
cord-140977-mg04drna	145	19	29	29	CD
cord-140977-mg04drna	145	20	countries	country	NNS
cord-140977-mg04drna	145	21	of	of	IN
cord-140977-mg04drna	145	22	EU	EU	NNP
cord-140977-mg04drna	145	23	,	,	,
cord-140977-mg04drna	145	24	including	include	VBG
cord-140977-mg04drna	145	25	Switzerland	Switzerland	NNP
cord-140977-mg04drna	145	26	and	and	CC
cord-140977-mg04drna	145	27	UK	UK	NNP
cord-140977-mg04drna	145	28	obtained	obtain	VBD
cord-140977-mg04drna	145	29	from	from	IN
cord-140977-mg04drna	145	30	[	[	-LRB-
cord-140977-mg04drna	145	31	11	11	CD
cord-140977-mg04drna	145	32	]	]	-RRB-
cord-140977-mg04drna	145	33	.	.	.
cord-140977-mg04drna	146	1	The	the	DT
cord-140977-mg04drna	146	2	characteristics	characteristic	NNS
cord-140977-mg04drna	146	3	of	of	IN
cord-140977-mg04drna	146	4	the	the	DT
cord-140977-mg04drna	146	5	countries	country	NNS
cord-140977-mg04drna	146	6	relevant	relevant	JJ
cord-140977-mg04drna	146	7	to	to	IN
cord-140977-mg04drna	146	8	our	-PRON-	PRP$
cord-140977-mg04drna	146	9	study	study	NN
cord-140977-mg04drna	146	10	are	be	VBP
cord-140977-mg04drna	146	11	summarized	summarize	VBN
cord-140977-mg04drna	146	12	in	in	IN
cord-140977-mg04drna	146	13	Table	Table	NNP
cord-140977-mg04drna	146	14	1	1	CD
cord-140977-mg04drna	146	15	.	.	.
cord-140977-mg04drna	147	1	In	in	IN
cord-140977-mg04drna	147	2	particular	particular	JJ
cord-140977-mg04drna	147	3	,	,	,
cord-140977-mg04drna	147	4	we	-PRON-	PRP
cord-140977-mg04drna	147	5	used	use	VBD
cord-140977-mg04drna	147	6	the	the	DT
cord-140977-mg04drna	147	7	population	population	NN
cord-140977-mg04drna	147	8	density	density	NN
cord-140977-mg04drna	147	9	,	,	,
cord-140977-mg04drna	147	10	the	the	DT
cord-140977-mg04drna	147	11	estimated	estimate	VBN
cord-140977-mg04drna	147	12	normalized	normalize	VBN
cord-140977-mg04drna	147	13	total	total	JJ
cord-140977-mg04drna	147	14	number	number	NN
cord-140977-mg04drna	147	15	of	of	IN
cord-140977-mg04drna	147	16	infected	infected	JJ
cord-140977-mg04drna	147	17	individuals	individual	NNS
cord-140977-mg04drna	147	18	(	(	-LRB-
cord-140977-mg04drna	147	19	determined	determine	VBN
cord-140977-mg04drna	147	20	by	by	IN
cord-140977-mg04drna	147	21	the	the	DT
cord-140977-mg04drna	147	22	number	number	NN
cord-140977-mg04drna	147	23	of	of	IN
cord-140977-mg04drna	147	24	deaths	death	NNS
cord-140977-mg04drna	147	25	by	by	IN
cord-140977-mg04drna	147	26	using	use	VBG
cord-140977-mg04drna	147	27	a	a	DT
cord-140977-mg04drna	147	28	typical	typical	JJ
cord-140977-mg04drna	147	29	constant	constant	JJ
cord-140977-mg04drna	147	30	factor	factor	NN
cord-140977-mg04drna	147	31	)	)	-RRB-
cord-140977-mg04drna	147	32	and	and	CC
cord-140977-mg04drna	147	33	the	the	DT
cord-140977-mg04drna	147	34	Gross	Gross	NNP
cord-140977-mg04drna	147	35	Domestic	Domestic	NNP
cord-140977-mg04drna	147	36	Product	Product	NNP
cord-140977-mg04drna	147	37	(	(	-LRB-
cord-140977-mg04drna	147	38	GDP	GDP	NNP
cord-140977-mg04drna	147	39	)	)	-RRB-
cord-140977-mg04drna	147	40	,	,	,
cord-140977-mg04drna	147	41	nominal	nominal	JJ
cord-140977-mg04drna	147	42	per	per	IN
cord-140977-mg04drna	147	43	capita	capita	NN
cord-140977-mg04drna	147	44	.	.	.
cord-140977-mg04drna	148	1	The	the	DT
cord-140977-mg04drna	148	2	degree	degree	NN
cord-140977-mg04drna	148	3	of	of	IN
cord-140977-mg04drna	148	4	correlation	correlation	NN
cord-140977-mg04drna	148	5	among	among	IN
cord-140977-mg04drna	148	6	the	the	DT
cord-140977-mg04drna	148	7	above	above	JJ
cord-140977-mg04drna	148	8	characteristics	characteristic	NNS
cord-140977-mg04drna	148	9	and	and	CC
cord-140977-mg04drna	148	10	the	the	DT
cord-140977-mg04drna	148	11	modelling	modelling	NN
cord-140977-mg04drna	148	12	parameters	parameter	NNS
cord-140977-mg04drna	148	13	,	,	,
cord-140977-mg04drna	148	14	was	be	VBD
cord-140977-mg04drna	148	15	studied	study	VBN
cord-140977-mg04drna	148	16	by	by	IN
cord-140977-mg04drna	148	17	the	the	DT
cord-140977-mg04drna	148	18	"	"	``
cord-140977-mg04drna	148	19	theoretical	theoretical	JJ
cord-140977-mg04drna	148	20	pearson	pearson	NNP
cord-140977-mg04drna	148	21	linear	linear	JJ
cord-140977-mg04drna	148	22	correlation	correlation	NN
cord-140977-mg04drna	148	23	coefficient	coefficient	NN
cord-140977-mg04drna	148	24	"	"	''
cord-140977-mg04drna	148	25	given	give	VBN
cord-140977-mg04drna	148	26	by	by	IN
cord-140977-mg04drna	148	27	the	the	DT
cord-140977-mg04drna	148	28	following	following	JJ
cord-140977-mg04drna	148	29	formula	formula	NN
cord-140977-mg04drna	148	30	where	where	WRB
cord-140977-mg04drna	148	31	X	X	NNP
cord-140977-mg04drna	148	32	and	and	CC
cord-140977-mg04drna	148	33	Y	Y	NNP
cord-140977-mg04drna	148	34	are	be	VBP
cord-140977-mg04drna	148	35	considered	consider	VBN
cord-140977-mg04drna	148	36	normal	normal	JJ
cord-140977-mg04drna	148	37	random	random	JJ
cord-140977-mg04drna	148	38	variables	variable	NNS
cord-140977-mg04drna	148	39	,	,	,
cord-140977-mg04drna	149	1	σ	σ	NNP
cord-140977-mg04drna	149	2	x	x	NNP
cord-140977-mg04drna	149	3	and	and	CC
cord-140977-mg04drna	149	4	σ	σ	NNP
cord-140977-mg04drna	149	5	y	y	NNP
cord-140977-mg04drna	149	6	are	be	VBP
cord-140977-mg04drna	149	7	the	the	DT
cord-140977-mg04drna	149	8	corresponding	corresponding	JJ
cord-140977-mg04drna	149	9	standard	standard	JJ
cord-140977-mg04drna	149	10	deviations	deviation	NNS
cord-140977-mg04drna	149	11	and	and	CC
cord-140977-mg04drna	149	12	Cov(X	Cov(X	NNP
cord-140977-mg04drna	149	13	,	,	,
cord-140977-mg04drna	149	14	Y	Y	NNP
cord-140977-mg04drna	149	15	)	)	-RRB-
cord-140977-mg04drna	149	16	is	be	VBZ
cord-140977-mg04drna	149	17	their	-PRON-	PRP$
cord-140977-mg04drna	149	18	covariance	covariance	NN
cord-140977-mg04drna	149	19	.	.	.
cord-140977-mg04drna	150	1	However	however	RB
cord-140977-mg04drna	150	2	,	,	,
cord-140977-mg04drna	150	3	as	as	IN
cord-140977-mg04drna	150	4	it	-PRON-	PRP
cord-140977-mg04drna	150	5	is	be	VBZ
cord-140977-mg04drna	150	6	done	do	VBN
cord-140977-mg04drna	150	7	in	in	IN
cord-140977-mg04drna	150	8	practice	practice	NN
cord-140977-mg04drna	150	9	,	,	,
cord-140977-mg04drna	150	10	we	-PRON-	PRP
cord-140977-mg04drna	150	11	calculated	calculate	VBD
cord-140977-mg04drna	150	12	the	the	DT
cord-140977-mg04drna	150	13	"	"	``
cord-140977-mg04drna	150	14	sampling	sampling	NN
cord-140977-mg04drna	150	15	pearson	pearson	NNP
cord-140977-mg04drna	150	16	coefficient	coefficient	NN
cord-140977-mg04drna	150	17	"	"	''
cord-140977-mg04drna	150	18	(	(	-LRB-
cord-140977-mg04drna	150	19	SPC	SPC	NNP
cord-140977-mg04drna	150	20	)	)	-RRB-
cord-140977-mg04drna	150	21	,	,	,
cord-140977-mg04drna	150	22	r(X	r(X	NNP
cord-140977-mg04drna	150	23	,	,	,
cord-140977-mg04drna	150	24	Y	Y	NNP
cord-140977-mg04drna	150	25	)	)	-RRB-
cord-140977-mg04drna	150	26	,	,	,
cord-140977-mg04drna	150	27	for	for	IN
cord-140977-mg04drna	150	28	n	n	LS
cord-140977-mg04drna	150	29	observed	observe	VBD
cord-140977-mg04drna	150	30	random	random	JJ
cord-140977-mg04drna	150	31	pairs	pair	NNS
cord-140977-mg04drna	150	32	(	(	-LRB-
cord-140977-mg04drna	150	33	X	x	UH
cord-140977-mg04drna	150	34	i	i	NNP
cord-140977-mg04drna	150	35	,	,	,
cord-140977-mg04drna	150	36	Y	Y	NNP
cord-140977-mg04drna	150	37	i	i	NN
cord-140977-mg04drna	150	38	,	,	,
cord-140977-mg04drna	150	39	...	...	NFP
cord-140977-mg04drna	150	40	,	,	,
cord-140977-mg04drna	150	41	X	x	NN
cord-140977-mg04drna	150	42	n	n	NNP
cord-140977-mg04drna	150	43	,	,	,
cord-140977-mg04drna	150	44	Y	Y	NNP
cord-140977-mg04drna	150	45	n	n	NNP
cord-140977-mg04drna	150	46	)	)	-RRB-
cord-140977-mg04drna	150	47	,	,	,
cord-140977-mg04drna	150	48	where	where	WRB
cord-140977-mg04drna	150	49	the	the	DT
cord-140977-mg04drna	150	50	X	x	NN
cord-140977-mg04drna	150	51	can	can	MD
cord-140977-mg04drna	150	52	represent	represent	VB
cord-140977-mg04drna	150	53	the	the	DT
cord-140977-mg04drna	150	54	first	first	JJ
cord-140977-mg04drna	150	55	selected	select	VBN
cord-140977-mg04drna	150	56	variable	variable	NN
cord-140977-mg04drna	150	57	and	and	CC
cord-140977-mg04drna	150	58	Y	Y	NNP
cord-140977-mg04drna	150	59	the	the	DT
cord-140977-mg04drna	150	60	second	second	JJ
cord-140977-mg04drna	150	61	one	one	NN
cord-140977-mg04drna	150	62	.	.	.
cord-140977-mg04drna	151	1	The	the	DT
cord-140977-mg04drna	151	2	correlation	correlation	NN
cord-140977-mg04drna	151	3	study	study	NN
cord-140977-mg04drna	151	4	concerned	concern	VBD
cord-140977-mg04drna	151	5	eight	eight	CD
cord-140977-mg04drna	151	6	pairs	pair	NNS
cord-140977-mg04drna	151	7	,	,	,
cord-140977-mg04drna	151	8	as	as	IN
cord-140977-mg04drna	151	9	is	be	VBZ
cord-140977-mg04drna	151	10	illustrated	illustrate	VBN
cord-140977-mg04drna	151	11	in	in	IN
cord-140977-mg04drna	151	12	Table	Table	NNP
cord-140977-mg04drna	151	13	2	2	CD
cord-140977-mg04drna	151	14	.	.	.
cord-140977-mg04drna	152	1	The	the	DT
cord-140977-mg04drna	152	2	conclusions	conclusion	NNS
cord-140977-mg04drna	152	3	of	of	IN
cord-140977-mg04drna	152	4	the	the	DT
cord-140977-mg04drna	152	5	linear	linear	JJ
cord-140977-mg04drna	152	6	correlation	correlation	NN
cord-140977-mg04drna	152	7	study	study	NN
cord-140977-mg04drna	152	8	are	be	VBP
cord-140977-mg04drna	152	9	the	the	DT
cord-140977-mg04drna	152	10	following	follow	VBG
cord-140977-mg04drna	152	11	:	:	:
cord-140977-mg04drna	152	12	1	1	CD
cord-140977-mg04drna	152	13	.	.	.
cord-140977-mg04drna	153	1	For	for	IN
cord-140977-mg04drna	153	2	the	the	DT
cord-140977-mg04drna	153	3	population	population	NN
cord-140977-mg04drna	153	4	density	density	NN
cord-140977-mg04drna	153	5	D	d	NN
cord-140977-mg04drna	153	6	:	:	:
cord-140977-mg04drna	153	7	no	no	DT
cord-140977-mg04drna	153	8	correlation	correlation	NN
cord-140977-mg04drna	153	9	was	be	VBD
cord-140977-mg04drna	153	10	found	find	VBN
cord-140977-mg04drna	153	11	with	with	IN
cord-140977-mg04drna	153	12	other	other	JJ
cord-140977-mg04drna	153	13	parameters	parameter	NNS
cord-140977-mg04drna	153	14	.	.	.
cord-140977-mg04drna	154	1	2	2	LS
cord-140977-mg04drna	154	2	.	.	.
cord-140977-mg04drna	155	1	For	for	IN
cord-140977-mg04drna	155	2	the	the	DT
cord-140977-mg04drna	155	3	model	model	NN
cord-140977-mg04drna	155	4	parameters	parameter	VBZ
cord-140977-mg04drna	155	5	n	n	NN
cord-140977-mg04drna	155	6	0	0	CD
cord-140977-mg04drna	155	7	and	and	CC
cord-140977-mg04drna	155	8	τ	τ	NN
cord-140977-mg04drna	155	9	0	0	CD
cord-140977-mg04drna	155	10	:	:	:
cord-140977-mg04drna	155	11	strong	strong	JJ
cord-140977-mg04drna	155	12	anti	anti	JJ
cord-140977-mg04drna	155	13	-	-	JJ
cord-140977-mg04drna	155	14	correlation	correlation	NN
cord-140977-mg04drna	155	15	was	be	VBD
cord-140977-mg04drna	155	16	found	find	VBN
cord-140977-mg04drna	155	17	.	.	.
cord-140977-mg04drna	156	1	3	3	LS
cord-140977-mg04drna	156	2	.	.	.
cord-140977-mg04drna	157	1	For	for	IN
cord-140977-mg04drna	157	2	the	the	DT
cord-140977-mg04drna	157	3	peaking	peak	VBG
cord-140977-mg04drna	157	4	time	time	NN
cord-140977-mg04drna	157	5	t	t	NN
cord-140977-mg04drna	157	6	p	p	NN
cord-140977-mg04drna	157	7	:	:	:
cord-140977-mg04drna	157	8	very	very	RB
cord-140977-mg04drna	157	9	strong	strong	JJ
cord-140977-mg04drna	157	10	anti	anti	JJ
cord-140977-mg04drna	157	11	-	-	JJ
cord-140977-mg04drna	157	12	correlation	correlation	NN
cord-140977-mg04drna	157	13	was	be	VBD
cord-140977-mg04drna	157	14	found	find	VBN
cord-140977-mg04drna	157	15	with	with	IN
cord-140977-mg04drna	157	16	the	the	DT
cord-140977-mg04drna	157	17	basic	basic	JJ
cord-140977-mg04drna	157	18	reproductive	reproductive	JJ
cord-140977-mg04drna	157	19	number	number	NN
cord-140977-mg04drna	157	20	,	,	,
cord-140977-mg04drna	157	21	R	r	NN
cord-140977-mg04drna	157	22	0	0	CD
cord-140977-mg04drna	157	23	.	.	.
cord-140977-mg04drna	158	1	The	the	DT
cord-140977-mg04drna	158	2	scatter	scatter	NN
cord-140977-mg04drna	158	3	plot	plot	NN
cord-140977-mg04drna	158	4	of	of	IN
cord-140977-mg04drna	158	5	the	the	DT
cord-140977-mg04drna	158	6	basic	basic	JJ
cord-140977-mg04drna	158	7	reproductive	reproductive	JJ
cord-140977-mg04drna	158	8	number	number	NN
cord-140977-mg04drna	158	9	R	r	NN
cord-140977-mg04drna	158	10	0	0	CD
cord-140977-mg04drna	158	11	and	and	CC
cord-140977-mg04drna	158	12	the	the	DT
cord-140977-mg04drna	158	13	peaking	peak	VBG
cord-140977-mg04drna	158	14	time	time	NN
cord-140977-mg04drna	158	15	t	t	NN
cord-140977-mg04drna	158	16	p	p	NN
cord-140977-mg04drna	158	17	is	be	VBZ
cord-140977-mg04drna	158	18	shown	show	VBN
cord-140977-mg04drna	158	19	in	in	IN
cord-140977-mg04drna	158	20	Fig	Fig	NNP
cord-140977-mg04drna	158	21	.	.	.
cord-140977-mg04drna	159	1	5	5	LS
cord-140977-mg04drna	159	2	.	.	.
cord-140977-mg04drna	160	1	This	this	DT
cord-140977-mg04drna	160	2	correlation	correlation	NN
cord-140977-mg04drna	160	3	gives	give	VBZ
cord-140977-mg04drna	160	4	us	-PRON-	PRP
cord-140977-mg04drna	160	5	the	the	DT
cord-140977-mg04drna	160	6	following	following	JJ
cord-140977-mg04drna	160	7	message	message	NN
cord-140977-mg04drna	160	8	:	:	:
cord-140977-mg04drna	160	9	the	the	DT
cord-140977-mg04drna	160	10	higher	high	JJR
cord-140977-mg04drna	160	11	R	r	NN
cord-140977-mg04drna	160	12	0	0	CD
cord-140977-mg04drna	160	13	results	result	NNS
cord-140977-mg04drna	160	14	to	to	IN
cord-140977-mg04drna	160	15	less	less	JJR
cord-140977-mg04drna	160	16	a	a	DT
cord-140977-mg04drna	160	17	delay	delay	NN
cord-140977-mg04drna	160	18	of	of	IN
cord-140977-mg04drna	160	19	the	the	DT
cord-140977-mg04drna	160	20	upcoming	upcoming	JJ
cord-140977-mg04drna	160	21	peak	peak	NN
cord-140977-mg04drna	160	22	in	in	IN
cord-140977-mg04drna	160	23	the	the	DT
cord-140977-mg04drna	160	24	DRC	DRC	NNP
cord-140977-mg04drna	160	25	curve	curve	NN
cord-140977-mg04drna	160	26	.	.	.
cord-140977-mg04drna	161	1	The	the	DT
cord-140977-mg04drna	161	2	obtained	obtain	VBN
cord-140977-mg04drna	161	3	slope	slope	NN
cord-140977-mg04drna	161	4	of	of	IN
cord-140977-mg04drna	161	5	the	the	DT
cord-140977-mg04drna	161	6	linear	linear	JJ
cord-140977-mg04drna	161	7	fit	fit	NN
cord-140977-mg04drna	161	8	was	be	VBD
cord-140977-mg04drna	162	1	−8.4	−8.4	NN
cord-140977-mg04drna	162	2	±	±	NNP
cord-140977-mg04drna	162	3	0.2	0.2	CD
cord-140977-mg04drna	162	4	days	day	NNS
cord-140977-mg04drna	162	5	.	.	.
cord-140977-mg04drna	163	1	On	on	IN
cord-140977-mg04drna	163	2	the	the	DT
cord-140977-mg04drna	163	3	other	other	JJ
cord-140977-mg04drna	163	4	hand	hand	NN
cord-140977-mg04drna	163	5	,	,	,
cord-140977-mg04drna	163	6	the	the	DT
cord-140977-mg04drna	163	7	R	r	NN
cord-140977-mg04drna	163	8	0	0	CD
cord-140977-mg04drna	163	9	among	among	IN
cord-140977-mg04drna	163	10	the	the	DT
cord-140977-mg04drna	163	11	analyzed	analyze	VBN
cord-140977-mg04drna	163	12	countries	country	NNS
cord-140977-mg04drna	163	13	,	,	,
cord-140977-mg04drna	163	14	present	present	JJ
cord-140977-mg04drna	163	15	statistical	statistical	JJ
cord-140977-mg04drna	163	16	fluctuations	fluctuation	NNS
cord-140977-mg04drna	163	17	from	from	IN
cord-140977-mg04drna	163	18	about	about	IN
cord-140977-mg04drna	163	19	2	2	CD
cord-140977-mg04drna	163	20	to	to	IN
cord-140977-mg04drna	163	21	4.6	4.6	CD
cord-140977-mg04drna	163	22	,	,	,
cord-140977-mg04drna	163	23	obeying	obey	VBG
cord-140977-mg04drna	163	24	roughly	roughly	RB
cord-140977-mg04drna	163	25	a	a	DT
cord-140977-mg04drna	163	26	gaussian	gaussian	JJ
cord-140977-mg04drna	163	27	distribution	distribution	NN
cord-140977-mg04drna	163	28	with	with	IN
cord-140977-mg04drna	163	29	mean	mean	JJ
cord-140977-mg04drna	163	30	value	value	NN
cord-140977-mg04drna	163	31	2.96	2.96	CD
cord-140977-mg04drna	163	32	and	and	CC
cord-140977-mg04drna	163	33	standard	standard	JJ
cord-140977-mg04drna	163	34	deviation	deviation	NN
cord-140977-mg04drna	163	35	0.68	0.68	CD
cord-140977-mg04drna	163	36	(	(	-LRB-
cord-140977-mg04drna	163	37	or	or	CC
cord-140977-mg04drna	163	38	relative	relative	JJ
cord-140977-mg04drna	163	39	to	to	TO
cord-140977-mg04drna	163	40	mean	mean	VB
cord-140977-mg04drna	163	41	23	23	CD
cord-140977-mg04drna	163	42	%	%	NN
cord-140977-mg04drna	163	43	)	)	-RRB-
cord-140977-mg04drna	163	44	.	.	.
cord-140977-mg04drna	164	1	The	the	DT
cord-140977-mg04drna	164	2	parameters	parameter	NNS
cord-140977-mg04drna	164	3	n	n	NN
cord-140977-mg04drna	164	4	and	and	CC
cord-140977-mg04drna	164	5	τ	τ	NN
cord-140977-mg04drna	164	6	also	also	RB
cord-140977-mg04drna	164	7	fluctuate	fluctuate	VBP
cord-140977-mg04drna	164	8	,	,	,
cord-140977-mg04drna	164	9	as	as	IN
cord-140977-mg04drna	164	10	we	-PRON-	PRP
cord-140977-mg04drna	164	11	can	can	MD
cord-140977-mg04drna	164	12	see	see	VB
cord-140977-mg04drna	164	13	in	in	IN
cord-140977-mg04drna	164	14	Fig	Fig	NNP
cord-140977-mg04drna	164	15	.	.	.
cord-140977-mg04drna	164	16	6	6	CD
cord-140977-mg04drna	164	17	while	while	IN
cord-140977-mg04drna	164	18	the	the	DT
cord-140977-mg04drna	164	19	peaking	peak	VBG
cord-140977-mg04drna	164	20	time	time	NN
cord-140977-mg04drna	164	21	t	t	NN
cord-140977-mg04drna	164	22	p	p	NN
cord-140977-mg04drna	164	23	shows	show	VBZ
cord-140977-mg04drna	164	24	stochastic	stochastic	JJ
cord-140977-mg04drna	164	25	characteristics	characteristic	NNS
cord-140977-mg04drna	164	26	obeying	obey	VBG
cord-140977-mg04drna	164	27	similarly	similarly	RB
cord-140977-mg04drna	164	28	a	a	DT
cord-140977-mg04drna	164	29	gaussian	gaussian	JJ
cord-140977-mg04drna	164	30	distribution	distribution	NN
cord-140977-mg04drna	164	31	with	with	IN
cord-140977-mg04drna	164	32	mean	mean	JJ
cord-140977-mg04drna	164	33	25.7	25.7	CD
cord-140977-mg04drna	164	34	days	day	NNS
cord-140977-mg04drna	164	35	and	and	CC
cord-140977-mg04drna	164	36	standard	standard	JJ
cord-140977-mg04drna	164	37	deviation	deviation	NN
cord-140977-mg04drna	164	38	7.8	7.8	CD
cord-140977-mg04drna	164	39	days	day	NNS
cord-140977-mg04drna	164	40	(	(	-LRB-
cord-140977-mg04drna	164	41	or	or	CC
cord-140977-mg04drna	164	42	relative	relative	JJ
cord-140977-mg04drna	164	43	to	to	TO
cord-140977-mg04drna	164	44	mean	mean	VB
cord-140977-mg04drna	164	45	30	30	CD
cord-140977-mg04drna	164	46	%	%	NN
cord-140977-mg04drna	164	47	)	)	-RRB-
cord-140977-mg04drna	164	48	.	.	.
cord-140977-mg04drna	165	1	Since	since	IN
cord-140977-mg04drna	165	2	R	r	NN
cord-140977-mg04drna	165	3	0	0	CD
cord-140977-mg04drna	165	4	fluctuates	fluctuate	NNS
cord-140977-mg04drna	165	5	(	(	-LRB-
cord-140977-mg04drna	165	6	and	and	CC
cord-140977-mg04drna	165	7	in	in	IN
cord-140977-mg04drna	165	8	turn	turn	NN
cord-140977-mg04drna	165	9	the	the	DT
cord-140977-mg04drna	165	10	t	t	NN
cord-140977-mg04drna	165	11	p	p	NN
cord-140977-mg04drna	165	12	due	due	IN
cord-140977-mg04drna	165	13	to	to	IN
cord-140977-mg04drna	165	14	their	-PRON-	PRP$
cord-140977-mg04drna	165	15	linear	linear	JJ
cord-140977-mg04drna	165	16	correlation	correlation	NN
cord-140977-mg04drna	165	17	)	)	-RRB-
cord-140977-mg04drna	165	18	among	among	IN
cord-140977-mg04drna	165	19	the	the	DT
cord-140977-mg04drna	165	20	different	different	JJ
cord-140977-mg04drna	165	21	countries	country	NNS
cord-140977-mg04drna	165	22	randomly	randomly	RB
cord-140977-mg04drna	165	23	without	without	IN
cord-140977-mg04drna	165	24	presenting	present	VBG
cord-140977-mg04drna	165	25	any	any	DT
cord-140977-mg04drna	165	26	correlation	correlation	NN
cord-140977-mg04drna	165	27	with	with	IN
cord-140977-mg04drna	165	28	their	-PRON-	PRP$
cord-140977-mg04drna	165	29	associated	associate	VBN
cord-140977-mg04drna	165	30	parameters	parameter	NNS
cord-140977-mg04drna	165	31	,	,	,
cord-140977-mg04drna	165	32	we	-PRON-	PRP
cord-140977-mg04drna	165	33	can	can	MD
cord-140977-mg04drna	165	34	conclude	conclude	VB
cord-140977-mg04drna	165	35	that	that	IN
cord-140977-mg04drna	165	36	the	the	DT
cord-140977-mg04drna	165	37	normalized	normalized	JJ
cord-140977-mg04drna	165	38	size	size	NN
cord-140977-mg04drna	165	39	of	of	IN
cord-140977-mg04drna	165	40	the	the	DT
cord-140977-mg04drna	165	41	epidemic	epidemic	NN
cord-140977-mg04drna	165	42	can	can	MD
cord-140977-mg04drna	165	43	be	be	VB
cord-140977-mg04drna	165	44	explained	explain	VBN
cord-140977-mg04drna	165	45	only	only	RB
cord-140977-mg04drna	165	46	by	by	IN
cord-140977-mg04drna	165	47	taking	take	VBG
cord-140977-mg04drna	165	48	into	into	IN
cord-140977-mg04drna	165	49	account	account	NN
cord-140977-mg04drna	165	50	other	other	JJ
cord-140977-mg04drna	165	51	reasons	reason	NNS
cord-140977-mg04drna	165	52	and	and	CC
cord-140977-mg04drna	165	53	aspects	aspect	NNS
cord-140977-mg04drna	165	54	related	relate	VBN
cord-140977-mg04drna	165	55	to	to	IN
cord-140977-mg04drna	165	56	the	the	DT
cord-140977-mg04drna	165	57	way	way	NN
cord-140977-mg04drna	165	58	citizens	citizen	NNS
cord-140977-mg04drna	165	59	interact	interact	VBP
cord-140977-mg04drna	165	60	and	and	CC
cord-140977-mg04drna	165	61	behave	behave	VBP
cord-140977-mg04drna	165	62	as	as	RB
cord-140977-mg04drna	165	63	well	well	RB
cord-140977-mg04drna	165	64	as	as	IN
cord-140977-mg04drna	165	65	the	the	DT
cord-140977-mg04drna	165	66	degree	degree	NN
cord-140977-mg04drna	165	67	of	of	IN
cord-140977-mg04drna	165	68	social	social	JJ
cord-140977-mg04drna	165	69	distances	distance	NNS
cord-140977-mg04drna	165	70	and	and	CC
cord-140977-mg04drna	165	71	mobility	mobility	NN
cord-140977-mg04drna	165	72	or	or	CC
cord-140977-mg04drna	165	73	transport	transport	NN
cord-140977-mg04drna	165	74	within	within	IN
cord-140977-mg04drna	165	75	a	a	DT
cord-140977-mg04drna	165	76	country	country	NN
cord-140977-mg04drna	165	77	's	's	POS
cord-140977-mg04drna	165	78	major	major	JJ
cord-140977-mg04drna	165	79	cities	city	NNS
cord-140977-mg04drna	165	80	.	.	.
cord-140977-mg04drna	166	1	Also	also	RB
cord-140977-mg04drna	166	2	,	,	,
cord-140977-mg04drna	166	3	a	a	DT
cord-140977-mg04drna	166	4	crucial	crucial	JJ
cord-140977-mg04drna	166	5	role	role	NN
cord-140977-mg04drna	166	6	played	play	VBD
cord-140977-mg04drna	166	7	definitely	definitely	RB
cord-140977-mg04drna	166	8	the	the	DT
cord-140977-mg04drna	166	9	degree	degree	NN
cord-140977-mg04drna	166	10	of	of	IN
cord-140977-mg04drna	166	11	quarantine	quarantine	NN
cord-140977-mg04drna	166	12	and	and	CC
cord-140977-mg04drna	166	13	likely	likely	RB
cord-140977-mg04drna	166	14	some	some	DT
cord-140977-mg04drna	166	15	individual	individual	JJ
cord-140977-mg04drna	166	16	biological	biological	JJ
cord-140977-mg04drna	166	17	differentiations	differentiation	NNS
cord-140977-mg04drna	166	18	(	(	-LRB-
cord-140977-mg04drna	166	19	genetic	genetic	JJ
cord-140977-mg04drna	166	20	and	and	CC
cord-140977-mg04drna	166	21	other	other	JJ
cord-140977-mg04drna	166	22	related	related	JJ
cord-140977-mg04drna	166	23	characteristics	characteristic	NNS
cord-140977-mg04drna	166	24	)	)	-RRB-
cord-140977-mg04drna	166	25	.	.	.
cord-140977-mg04drna	166	26	 	 	_SP
cord-140977-mg04drna	167	1	The	the	DT
cord-140977-mg04drna	167	2	capability	capability	NN
cord-140977-mg04drna	167	3	for	for	IN
cord-140977-mg04drna	167	4	surveying	survey	VBG
cord-140977-mg04drna	167	5	the	the	DT
cord-140977-mg04drna	167	6	epidemic	epidemic	NN
cord-140977-mg04drna	167	7	spread	spread	NN
cord-140977-mg04drna	167	8	during	during	IN
cord-140977-mg04drna	167	9	the	the	DT
cord-140977-mg04drna	167	10	three	three	CD
cord-140977-mg04drna	167	11	main	main	JJ
cord-140977-mg04drna	167	12	stages	stage	NNS
cord-140977-mg04drna	167	13	is	be	VBZ
cord-140977-mg04drna	167	14	very	very	RB
cord-140977-mg04drna	167	15	important	important	JJ
cord-140977-mg04drna	167	16	and	and	CC
cord-140977-mg04drna	167	17	could	could	MD
cord-140977-mg04drna	167	18	be	be	VB
cord-140977-mg04drna	167	19	based	base	VBN
cord-140977-mg04drna	167	20	on	on	IN
cord-140977-mg04drna	167	21	the	the	DT
cord-140977-mg04drna	167	22	daily	daily	JJ
cord-140977-mg04drna	167	23	data	datum	NNS
cord-140977-mg04drna	167	24	and	and	CC
cord-140977-mg04drna	167	25	the	the	DT
cord-140977-mg04drna	167	26	mathematical	mathematical	JJ
cord-140977-mg04drna	167	27	modelling	modelling	NN
cord-140977-mg04drna	167	28	we	-PRON-	PRP
cord-140977-mg04drna	167	29	presented	present	VBD
cord-140977-mg04drna	167	30	.	.	.
cord-140977-mg04drna	168	1	In	in	IN
cord-140977-mg04drna	168	2	the	the	DT
cord-140977-mg04drna	168	3	mitigation	mitigation	NN
cord-140977-mg04drna	168	4	stage	stage	NN
cord-140977-mg04drna	168	5	the	the	DT
cord-140977-mg04drna	168	6	surveying	surveying	NN
cord-140977-mg04drna	168	7	is	be	VBZ
cord-140977-mg04drna	168	8	even	even	RB
cord-140977-mg04drna	168	9	more	more	RBR
cord-140977-mg04drna	168	10	useful	useful	JJ
cord-140977-mg04drna	168	11	and	and	CC
cord-140977-mg04drna	168	12	crucial	crucial	JJ
cord-140977-mg04drna	168	13	when	when	WRB
cord-140977-mg04drna	168	14	the	the	DT
cord-140977-mg04drna	168	15	restriction	restriction	NN
cord-140977-mg04drna	168	16	measures	measure	NNS
cord-140977-mg04drna	168	17	are	be	VBP
cord-140977-mg04drna	168	18	starting	start	VBG
cord-140977-mg04drna	168	19	to	to	TO
cord-140977-mg04drna	168	20	be	be	VB
cord-140977-mg04drna	168	21	relaxed	relaxed	JJ
cord-140977-mg04drna	168	22	.	.	.
cord-140977-mg04drna	169	1	The	the	DT
cord-140977-mg04drna	169	2	crucial	crucial	JJ
cord-140977-mg04drna	169	3	condition	condition	NN
cord-140977-mg04drna	169	4	for	for	IN
cord-140977-mg04drna	169	5	a	a	DT
cord-140977-mg04drna	169	6	new	new	JJ
cord-140977-mg04drna	169	7	epidemic	epidemic	NN
cord-140977-mg04drna	169	8	reappearance	reappearance	NN
cord-140977-mg04drna	169	9	is	be	VBZ
cord-140977-mg04drna	169	10	based	base	VBN
cord-140977-mg04drna	169	11	on	on	IN
cord-140977-mg04drna	169	12	the	the	DT
cord-140977-mg04drna	169	13	effective	effective	JJ
cord-140977-mg04drna	169	14	reproductive	reproductive	JJ
cord-140977-mg04drna	169	15	number	number	NN
cord-140977-mg04drna	169	16	,	,	,
cord-140977-mg04drna	169	17	R	r	NN
cord-140977-mg04drna	169	18	e	e	NN
cord-140977-mg04drna	169	19	,	,	,
cord-140977-mg04drna	169	20	as	as	RB
cord-140977-mg04drna	169	21	well	well	RB
cord-140977-mg04drna	169	22	as	as	IN
cord-140977-mg04drna	169	23	,	,	,
cord-140977-mg04drna	169	24	on	on	IN
cord-140977-mg04drna	169	25	the	the	DT
cord-140977-mg04drna	169	26	corresponding	correspond	VBG
cord-140977-mg04drna	169	27	population	population	NN
cord-140977-mg04drna	169	28	threshold	threshold	NN
cord-140977-mg04drna	169	29	.	.	.
cord-140977-mg04drna	170	1	However	however	RB
cord-140977-mg04drna	170	2	,	,	,
cord-140977-mg04drna	170	3	because	because	IN
cord-140977-mg04drna	170	4	of	of	IN
cord-140977-mg04drna	170	5	the	the	DT
cord-140977-mg04drna	170	6	large	large	JJ
cord-140977-mg04drna	170	7	statistical	statistical	JJ
cord-140977-mg04drna	170	8	fluctuations	fluctuation	NNS
cord-140977-mg04drna	170	9	caused	cause	VBN
cord-140977-mg04drna	170	10	by	by	IN
cord-140977-mg04drna	170	11	the	the	DT
cord-140977-mg04drna	170	12	poor	poor	JJ
cord-140977-mg04drna	170	13	statistics	statistic	NNS
cord-140977-mg04drna	170	14	of	of	IN
cord-140977-mg04drna	170	15	data	datum	NNS
cord-140977-mg04drna	170	16	as	as	RB
cord-140977-mg04drna	170	17	well	well	RB
cord-140977-mg04drna	170	18	as	as	IN
cord-140977-mg04drna	170	19	because	because	IN
cord-140977-mg04drna	170	20	of	of	IN
cord-140977-mg04drna	170	21	the	the	DT
cord-140977-mg04drna	170	22	low	low	JJ
cord-140977-mg04drna	170	23	slope	slope	NN
cord-140977-mg04drna	170	24	of	of	IN
cord-140977-mg04drna	170	25	the	the	DT
cord-140977-mg04drna	170	26	epidemic	epidemic	NN
cord-140977-mg04drna	170	27	curve	curve	NN
cord-140977-mg04drna	170	28	in	in	IN
cord-140977-mg04drna	170	29	this	this	DT
cord-140977-mg04drna	170	30	stage	stage	NN
cord-140977-mg04drna	170	31	,	,	,
cord-140977-mg04drna	170	32	it	-PRON-	PRP
cord-140977-mg04drna	170	33	is	be	VBZ
cord-140977-mg04drna	170	34	very	very	RB
cord-140977-mg04drna	170	35	hard	hard	JJ
cord-140977-mg04drna	170	36	to	to	TO
cord-140977-mg04drna	170	37	achieve	achieve	VB
cord-140977-mg04drna	170	38	accurate	accurate	JJ
cord-140977-mg04drna	170	39	numbers	number	NNS
cord-140977-mg04drna	170	40	,	,	,
cord-140977-mg04drna	170	41	but	but	CC
cord-140977-mg04drna	170	42	only	only	RB
cord-140977-mg04drna	170	43	a	a	DT
cord-140977-mg04drna	170	44	qualitative	qualitative	JJ
cord-140977-mg04drna	170	45	estimate	estimate	NN
cord-140977-mg04drna	170	46	as	as	IN
cord-140977-mg04drna	170	47	follows	follow	VBZ
cord-140977-mg04drna	170	48	.	.	.
cord-140977-mg04drna	171	1	The	the	DT
cord-140977-mg04drna	171	2	R	r	NN
cord-140977-mg04drna	171	3	e	e	NN
cord-140977-mg04drna	171	4	can	can	MD
cord-140977-mg04drna	171	5	be	be	VB
cord-140977-mg04drna	171	6	estimated	estimate	VBN
cord-140977-mg04drna	171	7	from	from	IN
cord-140977-mg04drna	171	8	the	the	DT
cord-140977-mg04drna	171	9	expressions	expression	NNS
cord-140977-mg04drna	171	10	in	in	IN
cord-140977-mg04drna	171	11	Eq	Eq	NNP
cord-140977-mg04drna	171	12	.	.	NNP
cord-140977-mg04drna	171	13	9	9	CD
cord-140977-mg04drna	171	14	and	and	CC
cord-140977-mg04drna	171	15	using	use	VBG
cord-140977-mg04drna	171	16	average	average	JJ
cord-140977-mg04drna	171	17	numerical	numerical	JJ
cord-140977-mg04drna	171	18	approximations	approximation	NNS
cord-140977-mg04drna	171	19	of	of	IN
cord-140977-mg04drna	171	20	the	the	DT
cord-140977-mg04drna	171	21	slope	slope	NN
cord-140977-mg04drna	171	22	,	,	,
cord-140977-mg04drna	171	23	dI	dI	NNP
cord-140977-mg04drna	171	24	/	/	SYM
cord-140977-mg04drna	171	25	dt	dt	NN
cord-140977-mg04drna	171	26	.	.	.
cord-140977-mg04drna	172	1	An	an	DT
cord-140977-mg04drna	172	2	alternative	alternative	JJ
cord-140977-mg04drna	172	3	and	and	CC
cord-140977-mg04drna	172	4	practical	practical	JJ
cord-140977-mg04drna	172	5	formula	formula	NN
cord-140977-mg04drna	172	6	based	base	VBN
cord-140977-mg04drna	172	7	on	on	IN
cord-140977-mg04drna	172	8	the	the	DT
cord-140977-mg04drna	172	9	parametrization	parametrization	NN
cord-140977-mg04drna	172	10	model	model	NN
cord-140977-mg04drna	172	11	SG	SG	NNP
cord-140977-mg04drna	172	12	-	-	HYPH
cord-140977-mg04drna	172	13	LPE	LPE	NNP
cord-140977-mg04drna	172	14	can	can	MD
cord-140977-mg04drna	172	15	be	be	VB
cord-140977-mg04drna	172	16	easily	easily	RB
cord-140977-mg04drna	172	17	proven	prove	VBN
cord-140977-mg04drna	172	18	and	and	CC
cord-140977-mg04drna	172	19	is	be	VBZ
cord-140977-mg04drna	172	20	,	,	,
cord-140977-mg04drna	172	21	R	r	NN
cord-140977-mg04drna	172	22	e	e	NN
cord-140977-mg04drna	173	1	=	=	SYM
cord-140977-mg04drna	173	2	1	1	CD
cord-140977-mg04drna	174	1	+	+	CC
cord-140977-mg04drna	174	2	(	(	-LRB-
cord-140977-mg04drna	174	3	nτ	nτ	IN
cord-140977-mg04drna	174	4	/t	/t	NNP
cord-140977-mg04drna	174	5	−	−	CD
cord-140977-mg04drna	174	6	1)/β	1)/β	CD
cord-140977-mg04drna	174	7	.	.	.
cord-140977-mg04drna	175	1	This	this	DT
cord-140977-mg04drna	175	2	formula	formula	NN
cord-140977-mg04drna	175	3	is	be	VBZ
cord-140977-mg04drna	175	4	valid	valid	JJ
cord-140977-mg04drna	175	5	only	only	RB
cord-140977-mg04drna	175	6	in	in	IN
cord-140977-mg04drna	175	7	the	the	DT
cord-140977-mg04drna	175	8	vicinity	vicinity	NN
cord-140977-mg04drna	175	9	of	of	IN
cord-140977-mg04drna	175	10	the	the	DT
cord-140977-mg04drna	175	11	peak	peak	NN
cord-140977-mg04drna	175	12	,	,	,
cord-140977-mg04drna	175	13	namely	namely	RB
cord-140977-mg04drna	175	14	in	in	IN
cord-140977-mg04drna	175	15	the	the	DT
cord-140977-mg04drna	175	16	narrow	narrow	JJ
cord-140977-mg04drna	175	17	range	range	NN
cord-140977-mg04drna	175	18	from	from	IN
cord-140977-mg04drna	175	19	0.5	0.5	CD
cord-140977-mg04drna	175	20	t	t	NN
cord-140977-mg04drna	175	21	p	p	NN
cord-140977-mg04drna	175	22	to	to	IN
cord-140977-mg04drna	175	23	1.5	1.5	CD
cord-140977-mg04drna	175	24	t	t	NN
cord-140977-mg04drna	175	25	p	p	NN
cord-140977-mg04drna	175	26	,	,	,
cord-140977-mg04drna	175	27	because	because	IN
cord-140977-mg04drna	175	28	the	the	DT
cord-140977-mg04drna	175	29	fitted	fit	VBN
cord-140977-mg04drna	175	30	model	model	NN
cord-140977-mg04drna	175	31	and	and	CC
cord-140977-mg04drna	175	32	the	the	DT
cord-140977-mg04drna	175	33	SIR	SIR	NNP
cord-140977-mg04drna	175	34	one	one	CD
cord-140977-mg04drna	175	35	differ	differ	VBP
cord-140977-mg04drna	175	36	in	in	IN
cord-140977-mg04drna	175	37	the	the	DT
cord-140977-mg04drna	175	38	slopes	slope	NNS
cord-140977-mg04drna	175	39	at	at	IN
cord-140977-mg04drna	175	40	both	both	DT
cord-140977-mg04drna	175	41	side	side	NN
cord-140977-mg04drna	175	42	tails	tail	NNS
cord-140977-mg04drna	175	43	.	.	.
cord-140977-mg04drna	176	1	Once	once	RB
cord-140977-mg04drna	176	2	R	r	NN
cord-140977-mg04drna	176	3	e	e	NN
cord-140977-mg04drna	176	4	is	be	VBZ
cord-140977-mg04drna	176	5	estimated	estimate	VBN
cord-140977-mg04drna	176	6	,	,	,
cord-140977-mg04drna	176	7	the	the	DT
cord-140977-mg04drna	176	8	population	population	NN
cord-140977-mg04drna	176	9	density	density	NN
cord-140977-mg04drna	176	10	threshold	threshold	NN
cord-140977-mg04drna	176	11	,	,	,
cord-140977-mg04drna	176	12	in	in	IN
cord-140977-mg04drna	176	13	turn	turn	NN
cord-140977-mg04drna	176	14	,	,	,
cord-140977-mg04drna	176	15	can	can	MD
cord-140977-mg04drna	176	16	be	be	VB
cord-140977-mg04drna	176	17	calculated	calculate	VBN
cord-140977-mg04drna	176	18	and	and	CC
cord-140977-mg04drna	176	19	should	should	MD
cord-140977-mg04drna	176	20	be	be	VB
cord-140977-mg04drna	176	21	S(t)/N	s(t)/n	NN
cord-140977-mg04drna	176	22	=	=	NFP
cord-140977-mg04drna	177	1	1	1	LS
cord-140977-mg04drna	177	2	/	/	SYM
cord-140977-mg04drna	177	3	R	r	NN
cord-140977-mg04drna	177	4	e	e	NN
cord-140977-mg04drna	177	5	,	,	,
cord-140977-mg04drna	177	6	assuming	assume	VBG
cord-140977-mg04drna	177	7	that	that	IN
cord-140977-mg04drna	177	8	the	the	DT
cord-140977-mg04drna	177	9	normalized	normalized	JJ
cord-140977-mg04drna	177	10	size	size	NN
cord-140977-mg04drna	177	11	N	N	NNP
cord-140977-mg04drna	177	12	can	can	MD
cord-140977-mg04drna	177	13	also	also	RB
cord-140977-mg04drna	177	14	be	be	VB
cord-140977-mg04drna	177	15	estimated	estimate	VBN
cord-140977-mg04drna	177	16	by	by	IN
cord-140977-mg04drna	177	17	a	a	DT
cord-140977-mg04drna	177	18	similar	similar	JJ
cord-140977-mg04drna	177	19	level	level	NN
cord-140977-mg04drna	177	20	of	of	IN
cord-140977-mg04drna	177	21	accuracy	accuracy	NN
cord-140977-mg04drna	177	22	.	.	.
cord-140977-mg04drna	178	1	Therefore	therefore	RB
cord-140977-mg04drna	178	2	the	the	DT
cord-140977-mg04drna	178	3	crucial	crucial	JJ
cord-140977-mg04drna	178	4	condition	condition	NN
cord-140977-mg04drna	178	5	in	in	IN
cord-140977-mg04drna	178	6	the	the	DT
cord-140977-mg04drna	178	7	mitigation	mitigation	NN
cord-140977-mg04drna	178	8	stage	stage	NN
cord-140977-mg04drna	178	9	is	be	VBZ
cord-140977-mg04drna	178	10	written	write	VBN
cord-140977-mg04drna	178	11	as	as	IN
cord-140977-mg04drna	178	12	The	the	DT
cord-140977-mg04drna	178	13	derivative	derivative	NN
cord-140977-mg04drna	178	14	has	have	VBZ
cord-140977-mg04drna	178	15	to	to	TO
cord-140977-mg04drna	178	16	be	be	VB
cord-140977-mg04drna	178	17	calculated	calculate	VBN
cord-140977-mg04drna	178	18	as	as	IN
cord-140977-mg04drna	178	19	an	an	DT
cord-140977-mg04drna	178	20	average	average	JJ
cord-140977-mg04drna	178	21	slope	slope	NN
cord-140977-mg04drna	178	22	,	,	,
cord-140977-mg04drna	178	23	∆I/∆t	∆I/∆t	NNP
cord-140977-mg04drna	178	24	,	,	,
cord-140977-mg04drna	178	25	preferably	preferably	RB
cord-140977-mg04drna	178	26	at	at	IN
cord-140977-mg04drna	178	27	least	least	JJS
cord-140977-mg04drna	178	28	within	within	IN
cord-140977-mg04drna	178	29	one	one	CD
cord-140977-mg04drna	178	30	week	week	NN
cord-140977-mg04drna	178	31	.	.	.
cord-140977-mg04drna	179	1	Assuming	assume	VBG
cord-140977-mg04drna	179	2	that	that	IN
cord-140977-mg04drna	179	3	this	this	DT
cord-140977-mg04drna	179	4	slope	slope	NN
cord-140977-mg04drna	179	5	is	be	VBZ
cord-140977-mg04drna	179	6	I	-PRON-	PRP
cord-140977-mg04drna	179	7	w	w	NN
cord-140977-mg04drna	179	8	and	and	CC
cord-140977-mg04drna	179	9	the	the	DT
cord-140977-mg04drna	179	10	corresponding	corresponding	JJ
cord-140977-mg04drna	179	11	average	average	JJ
cord-140977-mg04drna	179	12	cases	case	NNS
cord-140977-mg04drna	179	13	in	in	IN
cord-140977-mg04drna	179	14	a	a	DT
cord-140977-mg04drna	179	15	week	week	NN
cord-140977-mg04drna	179	16	is	be	VBZ
cord-140977-mg04drna	179	17	I	-PRON-	PRP
cord-140977-mg04drna	179	18	av	av	VBP
cord-140977-mg04drna	179	19	the	the	DT
cord-140977-mg04drna	179	20	crucial	crucial	JJ
cord-140977-mg04drna	179	21	condition	condition	NN
cord-140977-mg04drna	179	22	becomes	become	VBZ
cord-140977-mg04drna	179	23	where	where	WRB
cord-140977-mg04drna	179	24	we	-PRON-	PRP
cord-140977-mg04drna	179	25	used	use	VBD
cord-140977-mg04drna	179	26	the	the	DT
cord-140977-mg04drna	179	27	typical	typical	JJ
cord-140977-mg04drna	179	28	values	value	NNS
cord-140977-mg04drna	179	29	,	,	,
cord-140977-mg04drna	179	30	β	β	NN
cord-140977-mg04drna	179	31	=	=	SYM
cord-140977-mg04drna	179	32	0.1	0.1	CD
cord-140977-mg04drna	179	33	days	day	NNS
cord-140977-mg04drna	179	34	−1	−1	NNP
cord-140977-mg04drna	179	35	and	and	CC
cord-140977-mg04drna	179	36	N	N	NNP
cord-140977-mg04drna	179	37	S(∞	S(∞	NNP
cord-140977-mg04drna	179	38	)	)	-RRB-
cord-140977-mg04drna	180	1	≈	≈	NNP
cord-140977-mg04drna	180	2	15	15	CD
cord-140977-mg04drna	180	3	for	for	IN
cord-140977-mg04drna	180	4	having	have	VBG
cord-140977-mg04drna	180	5	a	a	DT
cord-140977-mg04drna	180	6	practical	practical	JJ
cord-140977-mg04drna	180	7	result	result	NN
cord-140977-mg04drna	180	8	as	as	IN
cord-140977-mg04drna	180	9	a	a	DT
cord-140977-mg04drna	180	10	case	case	NN
cord-140977-mg04drna	180	11	study	study	NN
cord-140977-mg04drna	180	12	.	.	.
cord-140977-mg04drna	181	1	This	this	DT
cord-140977-mg04drna	181	2	simplified	simplify	VBN
cord-140977-mg04drna	181	3	formula	formula	NN
cord-140977-mg04drna	181	4	combined	combine	VBN
cord-140977-mg04drna	181	5	with	with	IN
cord-140977-mg04drna	181	6	one	one	CD
cord-140977-mg04drna	181	7	-	-	HYPH
cord-140977-mg04drna	181	8	week	week	NN
cord-140977-mg04drna	181	9	measurements	measurement	NNS
cord-140977-mg04drna	181	10	should	should	MD
cord-140977-mg04drna	181	11	be	be	VB
cord-140977-mg04drna	181	12	very	very	RB
cord-140977-mg04drna	181	13	useful	useful	JJ
cord-140977-mg04drna	181	14	because	because	IN
cord-140977-mg04drna	181	15	the	the	DT
cord-140977-mg04drna	181	16	relative	relative	JJ
cord-140977-mg04drna	181	17	fluctuations	fluctuation	NNS
cord-140977-mg04drna	181	18	of	of	IN
cord-140977-mg04drna	181	19	the	the	DT
cord-140977-mg04drna	181	20	DRC	DRC	NNP
cord-140977-mg04drna	181	21	are	be	VBP
cord-140977-mg04drna	181	22	expected	expect	VBN
cord-140977-mg04drna	181	23	to	to	TO
cord-140977-mg04drna	181	24	be	be	VB
cord-140977-mg04drna	181	25	very	very	RB
cord-140977-mg04drna	181	26	large	large	JJ
cord-140977-mg04drna	181	27	.	.	.
cord-140977-mg04drna	182	1	A	a	DT
cord-140977-mg04drna	182	2	systematic	systematic	JJ
cord-140977-mg04drna	182	3	analysis	analysis	NN
cord-140977-mg04drna	182	4	of	of	IN
cord-140977-mg04drna	182	5	the	the	DT
cord-140977-mg04drna	182	6	epidemic	epidemic	NN
cord-140977-mg04drna	182	7	characteristics	characteristic	NNS
cord-140977-mg04drna	182	8	of	of	IN
cord-140977-mg04drna	182	9	the	the	DT
cord-140977-mg04drna	182	10	new	new	JJ
cord-140977-mg04drna	182	11	virus	virus	NN
cord-140977-mg04drna	182	12	COVID-19	COVID-19	NNP
cord-140977-mg04drna	182	13	disease	disease	NN
cord-140977-mg04drna	182	14	spread	spread	NN
cord-140977-mg04drna	182	15	is	be	VBZ
cord-140977-mg04drna	182	16	presented	present	VBN
cord-140977-mg04drna	182	17	in	in	IN
cord-140977-mg04drna	182	18	this	this	DT
cord-140977-mg04drna	182	19	work	work	NN
cord-140977-mg04drna	182	20	.	.	.
cord-140977-mg04drna	183	1	For	for	IN
cord-140977-mg04drna	183	2	the	the	DT
cord-140977-mg04drna	183	3	mathematical	mathematical	JJ
cord-140977-mg04drna	183	4	analysis	analysis	NN
cord-140977-mg04drna	183	5	,	,	,
cord-140977-mg04drna	183	6	we	-PRON-	PRP
cord-140977-mg04drna	183	7	used	use	VBD
cord-140977-mg04drna	183	8	a	a	DT
cord-140977-mg04drna	183	9	model	model	NN
cord-140977-mg04drna	183	10	that	that	WDT
cord-140977-mg04drna	183	11	we	-PRON-	PRP
cord-140977-mg04drna	183	12	called	call	VBD
cord-140977-mg04drna	183	13	LPE	LPE	NNP
cord-140977-mg04drna	183	14	-	-	HYPH
cord-140977-mg04drna	183	15	SG	SG	NNP
cord-140977-mg04drna	183	16	which	which	WDT
cord-140977-mg04drna	183	17	facilitates	facilitate	VBZ
cord-140977-mg04drna	183	18	the	the	DT
cord-140977-mg04drna	183	19	parametrization	parametrization	NN
cord-140977-mg04drna	183	20	by	by	IN
cord-140977-mg04drna	183	21	an	an	DT
cord-140977-mg04drna	183	22	analytical	analytical	JJ
cord-140977-mg04drna	183	23	mathematical	mathematical	JJ
cord-140977-mg04drna	183	24	description	description	NN
cord-140977-mg04drna	183	25	.	.	.
cord-140977-mg04drna	184	1	We	-PRON-	PRP
cord-140977-mg04drna	184	2	also	also	RB
cord-140977-mg04drna	184	3	presented	present	VBD
cord-140977-mg04drna	184	4	a	a	DT
cord-140977-mg04drna	184	5	methodology	methodology	NN
cord-140977-mg04drna	184	6	of	of	IN
cord-140977-mg04drna	184	7	its	-PRON-	PRP$
cord-140977-mg04drna	184	8	coupling	coupling	NN
cord-140977-mg04drna	184	9	with	with	IN
cord-140977-mg04drna	184	10	the	the	DT
cord-140977-mg04drna	184	11	SIR	SIR	NNP
cord-140977-mg04drna	184	12	-	-	HYPH
cord-140977-mg04drna	184	13	based	base	VBN
cord-140977-mg04drna	184	14	models	model	NNS
cord-140977-mg04drna	184	15	aiming	aim	VBG
cord-140977-mg04drna	184	16	to	to	TO
cord-140977-mg04drna	184	17	determine	determine	VB
cord-140977-mg04drna	184	18	the	the	DT
cord-140977-mg04drna	184	19	basic	basic	JJ
cord-140977-mg04drna	184	20	and	and	CC
cord-140977-mg04drna	184	21	effective	effective	JJ
cord-140977-mg04drna	184	22	reproductive	reproductive	JJ
cord-140977-mg04drna	184	23	numbers	number	NNS
cord-140977-mg04drna	184	24	based	base	VBN
cord-140977-mg04drna	184	25	on	on	IN
cord-140977-mg04drna	184	26	the	the	DT
cord-140977-mg04drna	184	27	fitted	fit	VBN
cord-140977-mg04drna	184	28	parameters	parameter	NNS
cord-140977-mg04drna	184	29	.	.	.
cord-140977-mg04drna	185	1	Analysing	analyse	VBG
cord-140977-mg04drna	185	2	the	the	DT
cord-140977-mg04drna	185	3	daily	daily	JJ
cord-140977-mg04drna	185	4	reported	report	VBN
cord-140977-mg04drna	185	5	cases	case	NNS
cord-140977-mg04drna	185	6	of	of	IN
cord-140977-mg04drna	185	7	European	european	JJ
cord-140977-mg04drna	185	8	countries	country	NNS
cord-140977-mg04drna	185	9	,	,	,
cord-140977-mg04drna	185	10	we	-PRON-	PRP
cord-140977-mg04drna	185	11	found	find	VBD
cord-140977-mg04drna	185	12	no	no	DT
cord-140977-mg04drna	185	13	correlation	correlation	NN
cord-140977-mg04drna	185	14	between	between	IN
cord-140977-mg04drna	185	15	the	the	DT
cord-140977-mg04drna	185	16	population	population	NN
cord-140977-mg04drna	185	17	density	density	NN
cord-140977-mg04drna	185	18	,	,	,
cord-140977-mg04drna	185	19	normalized	normalized	JJ
cord-140977-mg04drna	185	20	size	size	NN
cord-140977-mg04drna	185	21	or	or	CC
cord-140977-mg04drna	185	22	GDP	gdp	NN
cord-140977-mg04drna	185	23	of	of	IN
cord-140977-mg04drna	185	24	the	the	DT
cord-140977-mg04drna	185	25	countries	country	NNS
cord-140977-mg04drna	185	26	with	with	IN
cord-140977-mg04drna	185	27	respect	respect	NN
cord-140977-mg04drna	185	28	to	to	IN
cord-140977-mg04drna	185	29	the	the	DT
cord-140977-mg04drna	185	30	spreading	spread	VBG
cord-140977-mg04drna	185	31	characteristics	characteristic	NNS
cord-140977-mg04drna	185	32	.	.	.
cord-140977-mg04drna	186	1	Another	another	DT
cord-140977-mg04drna	186	2	important	important	JJ
cord-140977-mg04drna	186	3	finding	finding	NN
cord-140977-mg04drna	186	4	of	of	IN
cord-140977-mg04drna	186	5	our	-PRON-	PRP$
cord-140977-mg04drna	186	6	study	study	NN
cord-140977-mg04drna	186	7	was	be	VBD
cord-140977-mg04drna	186	8	a	a	DT
cord-140977-mg04drna	186	9	strong	strong	JJ
cord-140977-mg04drna	186	10	anti	anti	JJ
cord-140977-mg04drna	186	11	-	-	JJ
cord-140977-mg04drna	186	12	correlation	correlation	JJ
cord-140977-mg04drna	186	13	,	,	,
cord-140977-mg04drna	186	14	statistically	statistically	RB
cord-140977-mg04drna	186	15	significant	significant	JJ
cord-140977-mg04drna	186	16	,	,	,
cord-140977-mg04drna	186	17	of	of	IN
cord-140977-mg04drna	186	18	the	the	DT
cord-140977-mg04drna	186	19	basic	basic	JJ
cord-140977-mg04drna	186	20	reproductive	reproductive	JJ
cord-140977-mg04drna	186	21	number	number	NN
cord-140977-mg04drna	186	22	and	and	CC
cord-140977-mg04drna	186	23	the	the	DT
cord-140977-mg04drna	186	24	peaking	peak	VBG
cord-140977-mg04drna	186	25	time	time	NN
cord-140977-mg04drna	186	26	.	.	.
cord-140977-mg04drna	187	1	Moreover	moreover	RB
cord-140977-mg04drna	187	2	,	,	,
cord-140977-mg04drna	187	3	we	-PRON-	PRP
cord-140977-mg04drna	187	4	found	find	VBD
cord-140977-mg04drna	187	5	that	that	IN
cord-140977-mg04drna	187	6	the	the	DT
cord-140977-mg04drna	187	7	basic	basic	JJ
cord-140977-mg04drna	187	8	reproductive	reproductive	JJ
cord-140977-mg04drna	187	9	number	number	NN
cord-140977-mg04drna	187	10	in	in	IN
cord-140977-mg04drna	187	11	the	the	DT
cord-140977-mg04drna	187	12	epidemics	epidemic	NNS
cord-140977-mg04drna	187	13	studied	study	VBN
cord-140977-mg04drna	187	14	showed	show	VBD
cord-140977-mg04drna	187	15	a	a	DT
cord-140977-mg04drna	187	16	uniform	uniform	JJ
cord-140977-mg04drna	187	17	distribution	distribution	NN
cord-140977-mg04drna	187	18	with	with	IN
cord-140977-mg04drna	187	19	a	a	DT
cord-140977-mg04drna	187	20	wide	wide	JJ
cord-140977-mg04drna	187	21	range	range	NN
cord-140977-mg04drna	187	22	of	of	IN
cord-140977-mg04drna	187	23	values	value	NNS
cord-140977-mg04drna	187	24	.	.	.
cord-140977-mg04drna	188	1	This	this	DT
cord-140977-mg04drna	188	2	means	mean	VBZ
cord-140977-mg04drna	188	3	that	that	IN
cord-140977-mg04drna	188	4	it	-PRON-	PRP
cord-140977-mg04drna	188	5	is	be	VBZ
cord-140977-mg04drna	188	6	mainly	mainly	RB
cord-140977-mg04drna	188	7	influenced	influence	VBN
cord-140977-mg04drna	188	8	by	by	IN
cord-140977-mg04drna	188	9	many	many	JJ
cord-140977-mg04drna	188	10	factors	factor	NNS
cord-140977-mg04drna	188	11	and	and	CC
cord-140977-mg04drna	188	12	generic	generic	JJ
cord-140977-mg04drna	188	13	characteristics	characteristic	NNS
cord-140977-mg04drna	188	14	of	of	IN
cord-140977-mg04drna	188	15	the	the	DT
cord-140977-mg04drna	188	16	society	society	NN
cord-140977-mg04drna	188	17	in	in	IN
cord-140977-mg04drna	188	18	a	a	DT
cord-140977-mg04drna	188	19	country	country	NN
cord-140977-mg04drna	188	20	.	.	.
cord-140977-mg04drna	189	1	Databased	databased	JJ
cord-140977-mg04drna	189	2	analysis	analysis	NN
cord-140977-mg04drna	189	3	,	,	,
cord-140977-mg04drna	189	4	modelling	modelling	NN
cord-140977-mg04drna	189	5	and	and	CC
cord-140977-mg04drna	189	6	forecasting	forecasting	NN
cord-140977-mg04drna	189	7	of	of	IN
cord-140977-mg04drna	189	8	the	the	DT
cord-140977-mg04drna	189	9	COVID-19	COVID-19	NNP
cord-140977-mg04drna	189	10	outbreak	outbreak	NN
cord-140977-mg04drna	189	11	Epidemic	Epidemic	NNP
cord-140977-mg04drna	189	12	analysis	analysis	NN
cord-140977-mg04drna	189	13	of	of	IN
cord-140977-mg04drna	189	14	COVID-19	COVID-19	NNP
cord-140977-mg04drna	189	15	in	in	IN
cord-140977-mg04drna	189	16	China	China	NNP
cord-140977-mg04drna	189	17	by	by	IN
cord-140977-mg04drna	189	18	dynamical	dynamical	JJ
cord-140977-mg04drna	189	19	modeling	modeling	NN
cord-140977-mg04drna	190	1	A	a	DT
cord-140977-mg04drna	190	2	Robust	robust	JJ
cord-140977-mg04drna	190	3	Stochastic	Stochastic	NNP
cord-140977-mg04drna	190	4	Method	method	NN
cord-140977-mg04drna	190	5	of	of	IN
cord-140977-mg04drna	190	6	Estimating	estimate	VBG
cord-140977-mg04drna	190	7	the	the	DT
cord-140977-mg04drna	190	8	Transmission	Transmission	NNP
cord-140977-mg04drna	190	9	Potential	potential	NN
cord-140977-mg04drna	190	10	of	of	IN
cord-140977-mg04drna	190	11	2019-nCoV	2019-ncov	CD
cord-140977-mg04drna	191	1	Predicting	predict	VBG
cord-140977-mg04drna	191	2	the	the	DT
cord-140977-mg04drna	191	3	cumulative	cumulative	JJ
cord-140977-mg04drna	191	4	number	number	NN
cord-140977-mg04drna	191	5	of	of	IN
cord-140977-mg04drna	191	6	cases	case	NNS
cord-140977-mg04drna	191	7	for	for	IN
cord-140977-mg04drna	191	8	the	the	DT
cord-140977-mg04drna	191	9	COVID-19	covid-19	JJ
cord-140977-mg04drna	191	10	epidemic	epidemic	NN
cord-140977-mg04drna	191	11	in	in	IN
cord-140977-mg04drna	191	12	China	China	NNP
cord-140977-mg04drna	191	13	from	from	IN
cord-140977-mg04drna	191	14	early	early	JJ
cord-140977-mg04drna	191	15	data	datum	NNS
cord-140977-mg04drna	191	16	Parametrization	Parametrization	NNP
cord-140977-mg04drna	191	17	Model	Model	NNP
cord-140977-mg04drna	191	18	Motivated	motivate	VBN
cord-140977-mg04drna	191	19	from	from	IN
cord-140977-mg04drna	191	20	Physical	physical	JJ
cord-140977-mg04drna	191	21	Processes	process	NNS
cord-140977-mg04drna	191	22	for	for	IN
cord-140977-mg04drna	191	23	Studying	study	VBG
cord-140977-mg04drna	191	24	the	the	DT
cord-140977-mg04drna	191	25	Spread	spread	NN
cord-140977-mg04drna	191	26	of	of	IN
cord-140977-mg04drna	191	27	CIVID-19	CIVID-19	``
cord-140977-mg04drna	191	28	Epidemic	epidemic	NN
cord-140977-mg04drna	191	29	Polynomial	polynomial	JJ
cord-140977-mg04drna	191	30	growth	growth	NN
cord-140977-mg04drna	191	31	in	in	IN
cord-140977-mg04drna	191	32	branching	branch	VBG
cord-140977-mg04drna	191	33	processes	process	NNS
cord-140977-mg04drna	191	34	with	with	IN
cord-140977-mg04drna	191	35	diverging	diverge	VBG
cord-140977-mg04drna	191	36	reproductive	reproductive	JJ
cord-140977-mg04drna	191	37	number	number	NN
cord-140977-mg04drna	191	38	Fractal	Fractal	NNP
cord-140977-mg04drna	191	39	kinetics	kinetic	NNS
cord-140977-mg04drna	191	40	of	of	IN
cord-140977-mg04drna	191	41	COVID-19	COVID-19	NNP
cord-140977-mg04drna	191	42	pandemic	pandemic	NN
cord-140977-mg04drna	191	43	A	a	DT
cord-140977-mg04drna	191	44	Contribution	Contribution	NNP
cord-140977-mg04drna	191	45	to	to	IN
cord-140977-mg04drna	191	46	the	the	DT
cord-140977-mg04drna	191	47	Mathematical	Mathematical	NNP
cord-140977-mg04drna	191	48	Theory	Theory	NNP
cord-140977-mg04drna	191	49	of	of	IN
cord-140977-mg04drna	191	50	Epodemics	Epodemics	NNP
cord-140977-mg04drna	191	51	Mathematical	Mathematical	NNP
cord-140977-mg04drna	191	52	modeling	modeling	NN
cord-140977-mg04drna	191	53	of	of	IN
cord-140977-mg04drna	191	54	infectious	infectious	JJ
cord-140977-mg04drna	191	55	disease	disease	NN
cord-140977-mg04drna	191	56	dynamics	dynamic	NNS
cord-140977-mg04drna	191	57	I	-PRON-	PRP
cord-140977-mg04drna	191	58	would	would	MD
cord-140977-mg04drna	191	59	like	like	VB
cord-140977-mg04drna	191	60	to	to	TO
cord-140977-mg04drna	191	61	thank	thank	VB
cord-140977-mg04drna	191	62	my	-PRON-	PRP$
cord-140977-mg04drna	191	63	daughter	daughter	NN
cord-140977-mg04drna	191	64	V.	V.	NNP
cord-140977-mg04drna	191	65	Maltezou	Maltezou	NNP
cord-140977-mg04drna	191	66	,	,	,
cord-140977-mg04drna	191	67	a	a	DT
cord-140977-mg04drna	191	68	Graduate	Graduate	NNP
cord-140977-mg04drna	191	69	of	of	IN
cord-140977-mg04drna	191	70	the	the	DT
cord-140977-mg04drna	191	71	Department	Department	NNP
cord-140977-mg04drna	191	72	of	of	IN
cord-140977-mg04drna	191	73	Agriculture	Agriculture	NNP
cord-140977-mg04drna	191	74	of	of	IN
cord-140977-mg04drna	191	75	the	the	DT
cord-140977-mg04drna	191	76	Aristotle	Aristotle	NNP
cord-140977-mg04drna	191	77	University	University	NNP
cord-140977-mg04drna	191	78	of	of	IN
cord-140977-mg04drna	191	79	Thessaloniki	Thessaloniki	NNP
cord-140977-mg04drna	191	80	and	and	CC
cord-140977-mg04drna	191	81	,	,	,
cord-140977-mg04drna	191	82	of	of	IN
cord-140977-mg04drna	191	83	Athens	Athens	NNP
cord-140977-mg04drna	191	84	School	School	NNP
cord-140977-mg04drna	191	85	of	of	IN
cord-140977-mg04drna	191	86	Fine	Fine	NNP
cord-140977-mg04drna	191	87	Arts	Arts	NNP
cord-140977-mg04drna	191	88	,	,	,
cord-140977-mg04drna	191	89	for	for	IN
cord-140977-mg04drna	191	90	our	-PRON-	PRP$
cord-140977-mg04drna	191	91	discussions	discussion	NNS
cord-140977-mg04drna	191	92	on	on	IN
cord-140977-mg04drna	191	93	the	the	DT
cord-140977-mg04drna	191	94	global	global	JJ
cord-140977-mg04drna	191	95	epidemiological	epidemiological	JJ
cord-140977-mg04drna	191	96	problem	problem	NN
cord-140977-mg04drna	191	97	,	,	,
cord-140977-mg04drna	191	98	which	which	WDT
cord-140977-mg04drna	191	99	gave	give	VBD
cord-140977-mg04drna	191	100	me	-PRON-	PRP
cord-140977-mg04drna	191	101	the	the	DT
cord-140977-mg04drna	191	102	warmth	warmth	NN
cord-140977-mg04drna	191	103	and	and	CC
cord-140977-mg04drna	191	104	the	the	DT
cord-140977-mg04drna	191	105	motivation	motivation	NN
cord-140977-mg04drna	191	106	for	for	IN
cord-140977-mg04drna	191	107	doing	do	VBG
cord-140977-mg04drna	191	108	this	this	DT
cord-140977-mg04drna	191	109	work	work	NN
cord-140977-mg04drna	191	110	.	.	.
cord-140977-mg04drna	192	1	Also	also	RB
cord-140977-mg04drna	192	2	,	,	,
cord-140977-mg04drna	192	3	I	-PRON-	PRP
cord-140977-mg04drna	192	4	thank	thank	VBP
cord-140977-mg04drna	192	5	my	-PRON-	PRP$
cord-140977-mg04drna	192	6	colleagues	colleague	NNS
cord-140977-mg04drna	192	7	,	,	,
cord-140977-mg04drna	192	8	Prof.	Prof.	NNP
cord-140977-mg04drna	192	9	Emeritus	Emeritus	NNP
cord-140977-mg04drna	192	10	E.	E.	NNP
cord-140977-mg04drna	192	11	Fokitis	Fokitis	NNP
cord-140977-mg04drna	192	12	and	and	CC
cord-140977-mg04drna	192	13	E.	E.	NNP
cord-140977-mg04drna	192	14	Katsoufis	Katsoufis	NNP
cord-140977-mg04drna	192	15	,	,	,
cord-140977-mg04drna	192	16	for	for	IN
cord-140977-mg04drna	192	17	their	-PRON-	PRP$
cord-140977-mg04drna	192	18	insightful	insightful	JJ
cord-140977-mg04drna	192	19	comments	comment	NNS
cord-140977-mg04drna	192	20	and	and	CC
cord-140977-mg04drna	192	21	our	-PRON-	PRP$
cord-140977-mg04drna	192	22	useful	useful	JJ
cord-140977-mg04drna	192	23	discussions	discussion	NNS
cord-140977-mg04drna	192	24	.	.	.