id	sid	tid	token	lemma	pos
cord-239632-dyvhzvmm	1	1	key	key	NN
cord-239632-dyvhzvmm	1	2	:	:	:
cord-239632-dyvhzvmm	2	1	cord-239632-dyvhzvmm	cord-239632-dyvhzvmm	NNP
cord-239632-dyvhzvmm	2	2	authors	author	NNS
cord-239632-dyvhzvmm	2	3	:	:	:
cord-239632-dyvhzvmm	2	4	McGuigan	McGuigan	NNP
cord-239632-dyvhzvmm	2	5	,	,	,
cord-239632-dyvhzvmm	2	6	Michael	Michael	NNP
cord-239632-dyvhzvmm	2	7	title	title	NN
cord-239632-dyvhzvmm	2	8	:	:	:
cord-239632-dyvhzvmm	2	9	Pandemic	pandemic	NN
cord-239632-dyvhzvmm	2	10	modeling	modeling	NN
cord-239632-dyvhzvmm	2	11	and	and	CC
cord-239632-dyvhzvmm	2	12	the	the	DT
cord-239632-dyvhzvmm	2	13	renormalization	renormalization	NN
cord-239632-dyvhzvmm	2	14	group	group	NN
cord-239632-dyvhzvmm	2	15	equations	equation	NNS
cord-239632-dyvhzvmm	2	16	:	:	:
cord-239632-dyvhzvmm	2	17	Effect	effect	NN
cord-239632-dyvhzvmm	2	18	of	of	IN
cord-239632-dyvhzvmm	2	19	contact	contact	NN
cord-239632-dyvhzvmm	2	20	matrices	matrix	NNS
cord-239632-dyvhzvmm	2	21	,	,	,
cord-239632-dyvhzvmm	2	22	fixed	fix	VBN
cord-239632-dyvhzvmm	2	23	points	point	NNS
cord-239632-dyvhzvmm	2	24	and	and	CC
cord-239632-dyvhzvmm	2	25	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	2	26	vaccine	vaccine	NN
cord-239632-dyvhzvmm	2	27	waning	wane	VBG
cord-239632-dyvhzvmm	2	28	date	date	NN
cord-239632-dyvhzvmm	2	29	:	:	:
cord-239632-dyvhzvmm	2	30	2020	2020	CD
cord-239632-dyvhzvmm	2	31	-	-	HYPH
cord-239632-dyvhzvmm	2	32	08	08	CD
cord-239632-dyvhzvmm	2	33	-	-	HYPH
cord-239632-dyvhzvmm	2	34	03	03	CD
cord-239632-dyvhzvmm	2	35	journal	journal	NN
cord-239632-dyvhzvmm	2	36	:	:	:
cord-239632-dyvhzvmm	3	1	nan	nan	NNP
cord-239632-dyvhzvmm	3	2	DOI	DOI	NNP
cord-239632-dyvhzvmm	3	3	:	:	:
cord-239632-dyvhzvmm	3	4	nan	nan	NNP
cord-239632-dyvhzvmm	3	5	sha	sha	NNP
cord-239632-dyvhzvmm	3	6	:	:	:
cord-239632-dyvhzvmm	3	7	9eea3e968fdb79bf98f4aa2b0482e9dd6bee5e9d	9eea3e968fdb79bf98f4aa2b0482e9dd6bee5e9d	CD
cord-239632-dyvhzvmm	3	8	doc_id	doc_id	CD
cord-239632-dyvhzvmm	3	9	:	:	:
cord-239632-dyvhzvmm	3	10	239632	239632	CD
cord-239632-dyvhzvmm	3	11	cord_uid	cord_uid	NNS
cord-239632-dyvhzvmm	3	12	:	:	:
cord-239632-dyvhzvmm	3	13	dyvhzvmm	dyvhzvmm	NNP
cord-239632-dyvhzvmm	4	1	In	in	IN
cord-239632-dyvhzvmm	4	2	this	this	DT
cord-239632-dyvhzvmm	4	3	paper	paper	NN
cord-239632-dyvhzvmm	4	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	4	5	find	find	VBP
cord-239632-dyvhzvmm	4	6	common	common	JJ
cord-239632-dyvhzvmm	4	7	features	feature	NNS
cord-239632-dyvhzvmm	4	8	between	between	IN
cord-239632-dyvhzvmm	4	9	the	the	DT
cord-239632-dyvhzvmm	4	10	equations	equation	NNS
cord-239632-dyvhzvmm	4	11	that	that	WDT
cord-239632-dyvhzvmm	4	12	are	be	VBP
cord-239632-dyvhzvmm	4	13	used	use	VBN
cord-239632-dyvhzvmm	4	14	for	for	IN
cord-239632-dyvhzvmm	4	15	pandemic	pandemic	NN
cord-239632-dyvhzvmm	4	16	or	or	CC
cord-239632-dyvhzvmm	4	17	epidemic	epidemic	NN
cord-239632-dyvhzvmm	4	18	modeling	modeling	NN
cord-239632-dyvhzvmm	4	19	and	and	CC
cord-239632-dyvhzvmm	4	20	the	the	DT
cord-239632-dyvhzvmm	4	21	renormalization	renormalization	NN
cord-239632-dyvhzvmm	4	22	group	group	NN
cord-239632-dyvhzvmm	4	23	equations	equation	NNS
cord-239632-dyvhzvmm	4	24	that	that	WDT
cord-239632-dyvhzvmm	4	25	are	be	VBP
cord-239632-dyvhzvmm	4	26	used	use	VBN
cord-239632-dyvhzvmm	4	27	in	in	IN
cord-239632-dyvhzvmm	4	28	high	high	JJ
cord-239632-dyvhzvmm	4	29	energy	energy	NN
cord-239632-dyvhzvmm	4	30	physics	physics	NN
cord-239632-dyvhzvmm	4	31	.	.	.
cord-239632-dyvhzvmm	5	1	Some	some	DT
cord-239632-dyvhzvmm	5	2	of	of	IN
cord-239632-dyvhzvmm	5	3	these	these	DT
cord-239632-dyvhzvmm	5	4	features	feature	NNS
cord-239632-dyvhzvmm	5	5	include	include	VBP
cord-239632-dyvhzvmm	5	6	the	the	DT
cord-239632-dyvhzvmm	5	7	relation	relation	NN
cord-239632-dyvhzvmm	5	8	of	of	IN
cord-239632-dyvhzvmm	5	9	contact	contact	NN
cord-239632-dyvhzvmm	5	10	matrices	matrix	NNS
cord-239632-dyvhzvmm	5	11	in	in	IN
cord-239632-dyvhzvmm	5	12	pandemic	pandemic	NN
cord-239632-dyvhzvmm	5	13	modeling	modeling	NN
cord-239632-dyvhzvmm	5	14	and	and	CC
cord-239632-dyvhzvmm	5	15	operator	operator	NN
cord-239632-dyvhzvmm	5	16	mixing	mixing	NN
cord-239632-dyvhzvmm	5	17	in	in	IN
cord-239632-dyvhzvmm	5	18	the	the	DT
cord-239632-dyvhzvmm	5	19	renormalization	renormalization	NN
cord-239632-dyvhzvmm	5	20	group	group	NN
cord-239632-dyvhzvmm	5	21	equations	equation	NNS
cord-239632-dyvhzvmm	5	22	.	.	.
cord-239632-dyvhzvmm	6	1	Another	another	DT
cord-239632-dyvhzvmm	6	2	common	common	JJ
cord-239632-dyvhzvmm	6	3	feature	feature	NN
cord-239632-dyvhzvmm	6	4	are	be	VBP
cord-239632-dyvhzvmm	6	5	the	the	DT
cord-239632-dyvhzvmm	6	6	use	use	NN
cord-239632-dyvhzvmm	6	7	of	of	IN
cord-239632-dyvhzvmm	6	8	flow	flow	NN
cord-239632-dyvhzvmm	6	9	diagrams	diagram	NNS
cord-239632-dyvhzvmm	6	10	and	and	CC
cord-239632-dyvhzvmm	6	11	the	the	DT
cord-239632-dyvhzvmm	6	12	study	study	NN
cord-239632-dyvhzvmm	6	13	of	of	IN
cord-239632-dyvhzvmm	6	14	fixed	fix	VBN
cord-239632-dyvhzvmm	6	15	points	point	NNS
cord-239632-dyvhzvmm	6	16	both	both	CC
cord-239632-dyvhzvmm	6	17	in	in	IN
cord-239632-dyvhzvmm	6	18	pandemic	pandemic	NN
cord-239632-dyvhzvmm	6	19	modeling	modeling	NN
cord-239632-dyvhzvmm	6	20	and	and	CC
cord-239632-dyvhzvmm	6	21	in	in	IN
cord-239632-dyvhzvmm	6	22	evolution	evolution	NN
cord-239632-dyvhzvmm	6	23	under	under	IN
cord-239632-dyvhzvmm	6	24	renormalization	renormalization	NN
cord-239632-dyvhzvmm	6	25	group	group	NN
cord-239632-dyvhzvmm	6	26	equations	equation	NNS
cord-239632-dyvhzvmm	6	27	.	.	.
cord-239632-dyvhzvmm	7	1	We	-PRON-	PRP
cord-239632-dyvhzvmm	7	2	illustrate	illustrate	VBP
cord-239632-dyvhzvmm	7	3	these	these	DT
cord-239632-dyvhzvmm	7	4	relations	relation	NNS
cord-239632-dyvhzvmm	7	5	through	through	IN
cord-239632-dyvhzvmm	7	6	the	the	DT
cord-239632-dyvhzvmm	7	7	study	study	NN
cord-239632-dyvhzvmm	7	8	of	of	IN
cord-239632-dyvhzvmm	7	9	some	some	DT
cord-239632-dyvhzvmm	7	10	cases	case	NNS
cord-239632-dyvhzvmm	7	11	of	of	IN
cord-239632-dyvhzvmm	7	12	interest	interest	NN
cord-239632-dyvhzvmm	7	13	to	to	IN
cord-239632-dyvhzvmm	7	14	the	the	DT
cord-239632-dyvhzvmm	7	15	current	current	JJ
cord-239632-dyvhzvmm	7	16	COVID-19	COVID-19	NNP
cord-239632-dyvhzvmm	7	17	pandemic	pandemic	NN
cord-239632-dyvhzvmm	7	18	.	.	.
cord-239632-dyvhzvmm	8	1	These	these	DT
cord-239632-dyvhzvmm	8	2	include	include	VBP
cord-239632-dyvhzvmm	8	3	pandemic	pandemic	NN
cord-239632-dyvhzvmm	8	4	modeling	model	VBG
cord-239632-dyvhzvmm	8	5	with	with	IN
cord-239632-dyvhzvmm	8	6	mixing	mix	VBG
cord-239632-dyvhzvmm	8	7	between	between	IN
cord-239632-dyvhzvmm	8	8	different	different	JJ
cord-239632-dyvhzvmm	8	9	age	age	NN
cord-239632-dyvhzvmm	8	10	groups	group	NNS
cord-239632-dyvhzvmm	8	11	and	and	CC
cord-239632-dyvhzvmm	8	12	also	also	RB
cord-239632-dyvhzvmm	8	13	contact	contact	VB
cord-239632-dyvhzvmm	8	14	matrices	matrix	NNS
cord-239632-dyvhzvmm	8	15	associated	associate	VBN
cord-239632-dyvhzvmm	8	16	with	with	IN
cord-239632-dyvhzvmm	8	17	contact	contact	NN
cord-239632-dyvhzvmm	8	18	between	between	IN
cord-239632-dyvhzvmm	8	19	countries	country	NNS
cord-239632-dyvhzvmm	8	20	.	.	.
cord-239632-dyvhzvmm	9	1	For	for	IN
cord-239632-dyvhzvmm	9	2	the	the	DT
cord-239632-dyvhzvmm	9	3	final	final	JJ
cord-239632-dyvhzvmm	9	4	example	example	NN
cord-239632-dyvhzvmm	9	5	we	-PRON-	PRP
cord-239632-dyvhzvmm	9	6	study	study	VBP
cord-239632-dyvhzvmm	9	7	the	the	DT
cord-239632-dyvhzvmm	9	8	effect	effect	NN
cord-239632-dyvhzvmm	9	9	on	on	IN
cord-239632-dyvhzvmm	9	10	mortality	mortality	NN
cord-239632-dyvhzvmm	9	11	of	of	IN
cord-239632-dyvhzvmm	9	12	waning	wane	VBG
cord-239632-dyvhzvmm	9	13	from	from	IN
cord-239632-dyvhzvmm	9	14	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	9	15	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	9	16	which	which	WDT
cord-239632-dyvhzvmm	9	17	are	be	VBP
cord-239632-dyvhzvmm	9	18	designed	design	VBN
cord-239632-dyvhzvmm	9	19	to	to	TO
cord-239632-dyvhzvmm	9	20	combat	combat	VB
cord-239632-dyvhzvmm	9	21	different	different	JJ
cord-239632-dyvhzvmm	9	22	pathogens	pathogen	NNS
cord-239632-dyvhzvmm	9	23	but	but	CC
cord-239632-dyvhzvmm	9	24	nevertheless	nevertheless	RB
cord-239632-dyvhzvmm	9	25	may	may	MD
cord-239632-dyvhzvmm	9	26	lessen	lessen	VB
cord-239632-dyvhzvmm	9	27	the	the	DT
cord-239632-dyvhzvmm	9	28	severity	severity	NN
cord-239632-dyvhzvmm	9	29	and	and	CC
cord-239632-dyvhzvmm	9	30	mortality	mortality	NN
cord-239632-dyvhzvmm	9	31	of	of	IN
cord-239632-dyvhzvmm	9	32	COVID-19	covid-19	JJ
cord-239632-dyvhzvmm	9	33	infections	infection	NNS
cord-239632-dyvhzvmm	9	34	.	.	.
cord-239632-dyvhzvmm	10	1	It	-PRON-	PRP
cord-239632-dyvhzvmm	10	2	is	be	VBZ
cord-239632-dyvhzvmm	10	3	well	well	RB
cord-239632-dyvhzvmm	10	4	known	know	VBN
cord-239632-dyvhzvmm	10	5	that	that	IN
cord-239632-dyvhzvmm	10	6	in	in	IN
cord-239632-dyvhzvmm	10	7	physics	physics	NN
cord-239632-dyvhzvmm	10	8	phenomena	phenomenon	NNS
cord-239632-dyvhzvmm	10	9	that	that	WDT
cord-239632-dyvhzvmm	10	10	are	be	VBP
cord-239632-dyvhzvmm	10	11	governed	govern	VBN
cord-239632-dyvhzvmm	10	12	by	by	IN
cord-239632-dyvhzvmm	10	13	the	the	DT
cord-239632-dyvhzvmm	10	14	same	same	JJ
cord-239632-dyvhzvmm	10	15	type	type	NN
cord-239632-dyvhzvmm	10	16	of	of	IN
cord-239632-dyvhzvmm	10	17	equations	equation	NNS
cord-239632-dyvhzvmm	10	18	can	can	MD
cord-239632-dyvhzvmm	10	19	benefit	benefit	VB
cord-239632-dyvhzvmm	10	20	from	from	IN
cord-239632-dyvhzvmm	10	21	the	the	DT
cord-239632-dyvhzvmm	10	22	sharing	sharing	NN
cord-239632-dyvhzvmm	10	23	of	of	IN
cord-239632-dyvhzvmm	10	24	techniques	technique	NNS
cord-239632-dyvhzvmm	10	25	for	for	IN
cord-239632-dyvhzvmm	10	26	the	the	DT
cord-239632-dyvhzvmm	10	27	solution	solution	NN
cord-239632-dyvhzvmm	10	28	and	and	CC
cord-239632-dyvhzvmm	10	29	visualization	visualization	NN
cord-239632-dyvhzvmm	10	30	of	of	IN
cord-239632-dyvhzvmm	10	31	the	the	DT
cord-239632-dyvhzvmm	10	32	solutions	solution	NNS
cord-239632-dyvhzvmm	10	33	to	to	IN
cord-239632-dyvhzvmm	10	34	those	those	DT
cord-239632-dyvhzvmm	10	35	equations	equation	NNS
cord-239632-dyvhzvmm	10	36	.	.	.
cord-239632-dyvhzvmm	11	1	For	for	IN
cord-239632-dyvhzvmm	11	2	example	example	NN
cord-239632-dyvhzvmm	11	3	the	the	DT
cord-239632-dyvhzvmm	11	4	simple	simple	JJ
cord-239632-dyvhzvmm	11	5	harmonic	harmonic	JJ
cord-239632-dyvhzvmm	11	6	oscillator	oscillator	NN
cord-239632-dyvhzvmm	11	7	and	and	CC
cord-239632-dyvhzvmm	11	8	electronic	electronic	JJ
cord-239632-dyvhzvmm	11	9	circuits	circuit	NNS
cord-239632-dyvhzvmm	11	10	are	be	VBP
cord-239632-dyvhzvmm	11	11	described	describe	VBN
cord-239632-dyvhzvmm	11	12	by	by	IN
cord-239632-dyvhzvmm	11	13	similar	similar	JJ
cord-239632-dyvhzvmm	11	14	equations	equation	NNS
cord-239632-dyvhzvmm	11	15	and	and	CC
cord-239632-dyvhzvmm	11	16	insight	insight	NN
cord-239632-dyvhzvmm	11	17	from	from	IN
cord-239632-dyvhzvmm	11	18	one	one	CD
cord-239632-dyvhzvmm	11	19	equation	equation	NN
cord-239632-dyvhzvmm	11	20	can	can	MD
cord-239632-dyvhzvmm	11	21	be	be	VB
cord-239632-dyvhzvmm	11	22	applied	apply	VBN
cord-239632-dyvhzvmm	11	23	to	to	IN
cord-239632-dyvhzvmm	11	24	the	the	DT
cord-239632-dyvhzvmm	11	25	other	other	JJ
cord-239632-dyvhzvmm	11	26	.	.	.
cord-239632-dyvhzvmm	12	1	The	the	DT
cord-239632-dyvhzvmm	12	2	first	first	JJ
cord-239632-dyvhzvmm	12	3	order	order	NN
cord-239632-dyvhzvmm	12	4	nature	nature	NN
cord-239632-dyvhzvmm	12	5	of	of	IN
cord-239632-dyvhzvmm	12	6	the	the	DT
cord-239632-dyvhzvmm	12	7	differential	differential	JJ
cord-239632-dyvhzvmm	12	8	equations	equation	NNS
cord-239632-dyvhzvmm	12	9	used	use	VBN
cord-239632-dyvhzvmm	12	10	in	in	IN
cord-239632-dyvhzvmm	12	11	compartment	compartment	NN
cord-239632-dyvhzvmm	12	12	models	model	NNS
cord-239632-dyvhzvmm	12	13	for	for	IN
cord-239632-dyvhzvmm	12	14	epidemic	epidemic	NN
cord-239632-dyvhzvmm	12	15	modeling	modeling	NN
cord-239632-dyvhzvmm	12	16	draw	draw	VBP
cord-239632-dyvhzvmm	12	17	a	a	DT
cord-239632-dyvhzvmm	12	18	striking	striking	JJ
cord-239632-dyvhzvmm	12	19	resemblance	resemblance	NN
cord-239632-dyvhzvmm	12	20	to	to	IN
cord-239632-dyvhzvmm	12	21	the	the	DT
cord-239632-dyvhzvmm	12	22	renormalization	renormalization	NN
cord-239632-dyvhzvmm	12	23	group	group	NN
cord-239632-dyvhzvmm	12	24	equations	equation	NNS
cord-239632-dyvhzvmm	12	25	used	use	VBN
cord-239632-dyvhzvmm	12	26	to	to	TO
cord-239632-dyvhzvmm	12	27	describe	describe	VB
cord-239632-dyvhzvmm	12	28	high	high	JJ
cord-239632-dyvhzvmm	12	29	energy	energy	NN
cord-239632-dyvhzvmm	12	30	physics	physics	NN
cord-239632-dyvhzvmm	12	31	models	model	NNS
cord-239632-dyvhzvmm	12	32	.	.	.
cord-239632-dyvhzvmm	13	1	Essentially	essentially	RB
cord-239632-dyvhzvmm	13	2	each	each	DT
cord-239632-dyvhzvmm	13	3	compartment	compartment	NN
cord-239632-dyvhzvmm	13	4	or	or	CC
cord-239632-dyvhzvmm	13	5	the	the	DT
cord-239632-dyvhzvmm	13	6	number	number	NN
cord-239632-dyvhzvmm	13	7	of	of	IN
cord-239632-dyvhzvmm	13	8	class	class	NN
cord-239632-dyvhzvmm	13	9	of	of	IN
cord-239632-dyvhzvmm	13	10	individuals	individual	NNS
cord-239632-dyvhzvmm	13	11	in	in	IN
cord-239632-dyvhzvmm	13	12	the	the	DT
cord-239632-dyvhzvmm	13	13	model	model	NN
cord-239632-dyvhzvmm	13	14	correspond	correspond	VBP
cord-239632-dyvhzvmm	13	15	to	to	IN
cord-239632-dyvhzvmm	13	16	a	a	DT
cord-239632-dyvhzvmm	13	17	coupling	coupling	NN
cord-239632-dyvhzvmm	13	18	constant	constant	NN
cord-239632-dyvhzvmm	13	19	in	in	IN
cord-239632-dyvhzvmm	13	20	the	the	DT
cord-239632-dyvhzvmm	13	21	high	high	JJ
cord-239632-dyvhzvmm	13	22	energy	energy	NN
cord-239632-dyvhzvmm	13	23	physics	physics	NN
cord-239632-dyvhzvmm	13	24	model	model	NN
cord-239632-dyvhzvmm	13	25	.	.	.
cord-239632-dyvhzvmm	14	1	One	one	PRP
cord-239632-dyvhzvmm	14	2	can	can	MD
cord-239632-dyvhzvmm	14	3	even	even	RB
cord-239632-dyvhzvmm	14	4	go	go	VB
cord-239632-dyvhzvmm	14	5	beyond	beyond	IN
cord-239632-dyvhzvmm	14	6	this	this	DT
cord-239632-dyvhzvmm	14	7	and	and	CC
cord-239632-dyvhzvmm	14	8	draw	draw	VB
cord-239632-dyvhzvmm	14	9	a	a	DT
cord-239632-dyvhzvmm	14	10	closer	close	JJR
cord-239632-dyvhzvmm	14	11	relation	relation	NN
cord-239632-dyvhzvmm	14	12	to	to	IN
cord-239632-dyvhzvmm	14	13	scaling	scale	VBG
cord-239632-dyvhzvmm	14	14	structure	structure	NN
cord-239632-dyvhzvmm	14	15	of	of	IN
cord-239632-dyvhzvmm	14	16	virus	virus	NN
cord-239632-dyvhzvmm	14	17	spreading	spreading	NN
cord-239632-dyvhzvmm	14	18	and	and	CC
cord-239632-dyvhzvmm	14	19	evolution	evolution	NN
cord-239632-dyvhzvmm	14	20	of	of	IN
cord-239632-dyvhzvmm	14	21	a	a	DT
cord-239632-dyvhzvmm	14	22	physics	physics	NN
cord-239632-dyvhzvmm	14	23	model	model	NN
cord-239632-dyvhzvmm	14	24	under	under	IN
cord-239632-dyvhzvmm	14	25	change	change	NN
cord-239632-dyvhzvmm	14	26	in	in	IN
cord-239632-dyvhzvmm	14	27	scale	scale	NN
cord-239632-dyvhzvmm	14	28	[	[	-LRB-
cord-239632-dyvhzvmm	14	29	1	1	CD
cord-239632-dyvhzvmm	14	30	]	]	-RRB-
cord-239632-dyvhzvmm	14	31	[	[	-LRB-
cord-239632-dyvhzvmm	14	32	2	2	CD
cord-239632-dyvhzvmm	14	33	]	]	-RRB-
cord-239632-dyvhzvmm	14	34	.	.	.
cord-239632-dyvhzvmm	15	1	In	in	IN
cord-239632-dyvhzvmm	15	2	this	this	DT
cord-239632-dyvhzvmm	15	3	paper	paper	NN
cord-239632-dyvhzvmm	15	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	15	5	illustrate	illustrate	VBP
cord-239632-dyvhzvmm	15	6	the	the	DT
cord-239632-dyvhzvmm	15	7	relation	relation	NN
cord-239632-dyvhzvmm	15	8	between	between	IN
cord-239632-dyvhzvmm	15	9	.	.	.
cord-239632-dyvhzvmm	16	1	the	the	DT
cord-239632-dyvhzvmm	16	2	techniques	technique	NNS
cord-239632-dyvhzvmm	16	3	used	use	VBN
cord-239632-dyvhzvmm	16	4	in	in	IN
cord-239632-dyvhzvmm	16	5	high	high	JJ
cord-239632-dyvhzvmm	16	6	energy	energy	NN
cord-239632-dyvhzvmm	16	7	physics	physics	NN
cord-239632-dyvhzvmm	16	8	and	and	CC
cord-239632-dyvhzvmm	16	9	apply	apply	VB
cord-239632-dyvhzvmm	16	10	these	these	DT
cord-239632-dyvhzvmm	16	11	to	to	IN
cord-239632-dyvhzvmm	16	12	cases	case	NNS
cord-239632-dyvhzvmm	16	13	of	of	IN
cord-239632-dyvhzvmm	16	14	interest	interest	NN
cord-239632-dyvhzvmm	16	15	to	to	IN
cord-239632-dyvhzvmm	16	16	pandemics	pandemic	NNS
cord-239632-dyvhzvmm	16	17	with	with	IN
cord-239632-dyvhzvmm	16	18	similar	similar	JJ
cord-239632-dyvhzvmm	16	19	characteristics	characteristic	NNS
cord-239632-dyvhzvmm	16	20	to	to	IN
cord-239632-dyvhzvmm	16	21	the	the	DT
cord-239632-dyvhzvmm	16	22	current	current	JJ
cord-239632-dyvhzvmm	16	23	COVID-19	COVID-19	NNP
cord-239632-dyvhzvmm	16	24	pandemic	pandemic	NN
cord-239632-dyvhzvmm	16	25	.	.	.
cord-239632-dyvhzvmm	17	1	This	this	DT
cord-239632-dyvhzvmm	17	2	paper	paper	NN
cord-239632-dyvhzvmm	17	3	is	be	VBZ
cord-239632-dyvhzvmm	17	4	organized	organize	VBN
cord-239632-dyvhzvmm	17	5	as	as	IN
cord-239632-dyvhzvmm	17	6	follows	follow	NNS
cord-239632-dyvhzvmm	17	7	.	.	.
cord-239632-dyvhzvmm	18	1	In	in	IN
cord-239632-dyvhzvmm	18	2	section	section	NN
cord-239632-dyvhzvmm	18	3	one	one	CD
cord-239632-dyvhzvmm	18	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	18	5	give	give	VBP
cord-239632-dyvhzvmm	18	6	a	a	DT
cord-239632-dyvhzvmm	18	7	basic	basic	JJ
cord-239632-dyvhzvmm	18	8	introduction	introduction	NN
cord-239632-dyvhzvmm	18	9	to	to	IN
cord-239632-dyvhzvmm	18	10	our	-PRON-	PRP$
cord-239632-dyvhzvmm	18	11	approach	approach	NN
cord-239632-dyvhzvmm	18	12	.	.	.
cord-239632-dyvhzvmm	19	1	In	in	IN
cord-239632-dyvhzvmm	19	2	section	section	NN
cord-239632-dyvhzvmm	19	3	two	two	CD
cord-239632-dyvhzvmm	19	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	19	5	give	give	VBP
cord-239632-dyvhzvmm	19	6	the	the	DT
cord-239632-dyvhzvmm	19	7	basic	basic	JJ
cord-239632-dyvhzvmm	19	8	equations	equation	NNS
cord-239632-dyvhzvmm	19	9	that	that	WDT
cord-239632-dyvhzvmm	19	10	are	be	VBP
cord-239632-dyvhzvmm	19	11	used	use	VBN
cord-239632-dyvhzvmm	19	12	in	in	IN
cord-239632-dyvhzvmm	19	13	pandemic	pandemic	NN
cord-239632-dyvhzvmm	19	14	and	and	CC
cord-239632-dyvhzvmm	19	15	epidemic	epidemic	NN
cord-239632-dyvhzvmm	19	16	modeling	modeling	NN
cord-239632-dyvhzvmm	19	17	based	base	VBN
cord-239632-dyvhzvmm	19	18	on	on	IN
cord-239632-dyvhzvmm	19	19	classifying	classify	VBG
cord-239632-dyvhzvmm	19	20	individuals	individual	NNS
cord-239632-dyvhzvmm	19	21	in	in	IN
cord-239632-dyvhzvmm	19	22	different	different	JJ
cord-239632-dyvhzvmm	19	23	compartments	compartment	NNS
cord-239632-dyvhzvmm	19	24	.	.	.
cord-239632-dyvhzvmm	20	1	In	in	IN
cord-239632-dyvhzvmm	20	2	section	section	NN
cord-239632-dyvhzvmm	20	3	three	three	CD
cord-239632-dyvhzvmm	20	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	20	5	give	give	VBP
cord-239632-dyvhzvmm	20	6	the	the	DT
cord-239632-dyvhzvmm	20	7	basic	basic	JJ
cord-239632-dyvhzvmm	20	8	renormalization	renormalization	NN
cord-239632-dyvhzvmm	20	9	group	group	NN
cord-239632-dyvhzvmm	20	10	equations	equation	NNS
cord-239632-dyvhzvmm	20	11	of	of	IN
cord-239632-dyvhzvmm	20	12	high	high	JJ
cord-239632-dyvhzvmm	20	13	energy	energy	NN
cord-239632-dyvhzvmm	20	14	physics	physics	NN
cord-239632-dyvhzvmm	20	15	associated	associate	VBN
cord-239632-dyvhzvmm	20	16	with	with	IN
cord-239632-dyvhzvmm	20	17	coupling	couple	VBG
cord-239632-dyvhzvmm	20	18	constants	constant	NNS
cord-239632-dyvhzvmm	20	19	.	.	.
cord-239632-dyvhzvmm	21	1	We	-PRON-	PRP
cord-239632-dyvhzvmm	21	2	show	show	VBP
cord-239632-dyvhzvmm	21	3	how	how	WRB
cord-239632-dyvhzvmm	21	4	basic	basic	JJ
cord-239632-dyvhzvmm	21	5	solution	solution	NN
cord-239632-dyvhzvmm	21	6	techniques	technique	NNS
cord-239632-dyvhzvmm	21	7	and	and	CC
cord-239632-dyvhzvmm	21	8	visualizations	visualization	NNS
cord-239632-dyvhzvmm	21	9	involving	involve	VBG
cord-239632-dyvhzvmm	21	10	flow	flow	NN
cord-239632-dyvhzvmm	21	11	diagrams	diagram	NNS
cord-239632-dyvhzvmm	21	12	can	can	MD
cord-239632-dyvhzvmm	21	13	also	also	RB
cord-239632-dyvhzvmm	21	14	be	be	VB
cord-239632-dyvhzvmm	21	15	applied	apply	VBN
cord-239632-dyvhzvmm	21	16	to	to	IN
cord-239632-dyvhzvmm	21	17	compartment	compartment	NN
cord-239632-dyvhzvmm	21	18	models	model	NNS
cord-239632-dyvhzvmm	21	19	of	of	IN
cord-239632-dyvhzvmm	21	20	pandemic	pandemic	NN
cord-239632-dyvhzvmm	21	21	modeling	modeling	NN
cord-239632-dyvhzvmm	21	22	and	and	CC
cord-239632-dyvhzvmm	21	23	how	how	WRB
cord-239632-dyvhzvmm	21	24	these	these	DT
cord-239632-dyvhzvmm	21	25	can	can	MD
cord-239632-dyvhzvmm	21	26	be	be	VB
cord-239632-dyvhzvmm	21	27	used	use	VBN
cord-239632-dyvhzvmm	21	28	to	to	TO
cord-239632-dyvhzvmm	21	29	identify	identify	VB
cord-239632-dyvhzvmm	21	30	fixed	fix	VBN
cord-239632-dyvhzvmm	21	31	points	point	NNS
cord-239632-dyvhzvmm	21	32	of	of	IN
cord-239632-dyvhzvmm	21	33	final	final	JJ
cord-239632-dyvhzvmm	21	34	state	state	NN
cord-239632-dyvhzvmm	21	35	equilibrium	equilibrium	NN
cord-239632-dyvhzvmm	21	36	in	in	IN
cord-239632-dyvhzvmm	21	37	pandemic	pandemic	NN
cord-239632-dyvhzvmm	21	38	modeling	modeling	NN
cord-239632-dyvhzvmm	21	39	.	.	.
cord-239632-dyvhzvmm	22	1	We	-PRON-	PRP
cord-239632-dyvhzvmm	22	2	also	also	RB
cord-239632-dyvhzvmm	22	3	draw	draw	VBP
cord-239632-dyvhzvmm	22	4	a	a	DT
cord-239632-dyvhzvmm	22	5	parallel	parallel	NN
cord-239632-dyvhzvmm	22	6	between	between	IN
cord-239632-dyvhzvmm	22	7	the	the	DT
cord-239632-dyvhzvmm	22	8	between	between	IN
cord-239632-dyvhzvmm	22	9	pandemic	pandemic	NN
cord-239632-dyvhzvmm	22	10	contact	contact	NN
cord-239632-dyvhzvmm	22	11	matrices	matrix	NNS
cord-239632-dyvhzvmm	22	12	and	and	CC
cord-239632-dyvhzvmm	22	13	operator	operator	NN
cord-239632-dyvhzvmm	22	14	mixing	mixing	NN
cord-239632-dyvhzvmm	22	15	where	where	WRB
cord-239632-dyvhzvmm	22	16	a	a	DT
cord-239632-dyvhzvmm	22	17	coefficient	coefficient	NN
cord-239632-dyvhzvmm	22	18	of	of	IN
cord-239632-dyvhzvmm	22	19	an	an	DT
cord-239632-dyvhzvmm	22	20	operator	operator	NN
cord-239632-dyvhzvmm	22	21	that	that	WDT
cord-239632-dyvhzvmm	22	22	may	may	MD
cord-239632-dyvhzvmm	22	23	be	be	VB
cord-239632-dyvhzvmm	22	24	zero	zero	CD
cord-239632-dyvhzvmm	22	25	at	at	IN
cord-239632-dyvhzvmm	22	26	some	some	DT
cord-239632-dyvhzvmm	22	27	scale	scale	NN
cord-239632-dyvhzvmm	22	28	nevertheless	nevertheless	RB
cord-239632-dyvhzvmm	22	29	can	can	MD
cord-239632-dyvhzvmm	22	30	become	become	VB
cord-239632-dyvhzvmm	22	31	nonzero	nonzero	NN
cord-239632-dyvhzvmm	22	32	at	at	IN
cord-239632-dyvhzvmm	22	33	a	a	DT
cord-239632-dyvhzvmm	22	34	different	different	JJ
cord-239632-dyvhzvmm	22	35	scale	scale	NN
cord-239632-dyvhzvmm	22	36	through	through	IN
cord-239632-dyvhzvmm	22	37	mixing	mix	VBG
cord-239632-dyvhzvmm	22	38	with	with	IN
cord-239632-dyvhzvmm	22	39	other	other	JJ
cord-239632-dyvhzvmm	22	40	operators	operator	NNS
cord-239632-dyvhzvmm	22	41	in	in	IN
cord-239632-dyvhzvmm	22	42	the	the	DT
cord-239632-dyvhzvmm	22	43	theory	theory	NN
cord-239632-dyvhzvmm	22	44	.	.	.
cord-239632-dyvhzvmm	23	1	In	in	IN
cord-239632-dyvhzvmm	23	2	section	section	NN
cord-239632-dyvhzvmm	23	3	four	four	CD
cord-239632-dyvhzvmm	23	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	23	5	illustrate	illustrate	VBP
cord-239632-dyvhzvmm	23	6	the	the	DT
cord-239632-dyvhzvmm	23	7	above	above	JJ
cord-239632-dyvhzvmm	23	8	relations	relation	NNS
cord-239632-dyvhzvmm	23	9	using	use	VBG
cord-239632-dyvhzvmm	23	10	contact	contact	NN
cord-239632-dyvhzvmm	23	11	matrices	matrix	NNS
cord-239632-dyvhzvmm	23	12	between	between	IN
cord-239632-dyvhzvmm	23	13	different	different	JJ
cord-239632-dyvhzvmm	23	14	age	age	NN
cord-239632-dyvhzvmm	23	15	groups	group	NNS
cord-239632-dyvhzvmm	23	16	using	use	VBG
cord-239632-dyvhzvmm	23	17	demographics	demographic	NNS
cord-239632-dyvhzvmm	23	18	and	and	CC
cord-239632-dyvhzvmm	23	19	pandemic	pandemic	NN
cord-239632-dyvhzvmm	23	20	characteristics	characteristic	NNS
cord-239632-dyvhzvmm	23	21	similar	similar	JJ
cord-239632-dyvhzvmm	23	22	to	to	IN
cord-239632-dyvhzvmm	23	23	the	the	DT
cord-239632-dyvhzvmm	23	24	current	current	JJ
cord-239632-dyvhzvmm	23	25	COVID-19	COVID-19	NNP
cord-239632-dyvhzvmm	23	26	pandemic	pandemic	NN
cord-239632-dyvhzvmm	23	27	.	.	.
cord-239632-dyvhzvmm	24	1	In	in	IN
cord-239632-dyvhzvmm	24	2	section	section	NN
cord-239632-dyvhzvmm	24	3	five	five	CD
cord-239632-dyvhzvmm	24	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	24	5	further	further	RB
cord-239632-dyvhzvmm	24	6	illustrate	illustrate	VBP
cord-239632-dyvhzvmm	24	7	the	the	DT
cord-239632-dyvhzvmm	24	8	techniques	technique	NNS
cord-239632-dyvhzvmm	24	9	using	use	VBG
cord-239632-dyvhzvmm	24	10	contact	contact	NN
cord-239632-dyvhzvmm	24	11	matrices	matrix	NNS
cord-239632-dyvhzvmm	24	12	between	between	IN
cord-239632-dyvhzvmm	24	13	different	different	JJ
cord-239632-dyvhzvmm	24	14	countries	country	NNS
cord-239632-dyvhzvmm	24	15	which	which	WDT
cord-239632-dyvhzvmm	24	16	encounter	encounter	VBP
cord-239632-dyvhzvmm	24	17	the	the	DT
cord-239632-dyvhzvmm	24	18	virus	virus	NN
cord-239632-dyvhzvmm	24	19	through	through	IN
cord-239632-dyvhzvmm	24	20	delayed	delay	VBN
cord-239632-dyvhzvmm	24	21	interaction	interaction	NN
cord-239632-dyvhzvmm	24	22	and	and	CC
cord-239632-dyvhzvmm	24	23	visualizing	visualize	VBG
cord-239632-dyvhzvmm	24	24	the	the	DT
cord-239632-dyvhzvmm	24	25	curves	curve	NNS
cord-239632-dyvhzvmm	24	26	for	for	IN
cord-239632-dyvhzvmm	24	27	infection	infection	NN
cord-239632-dyvhzvmm	24	28	and	and	CC
cord-239632-dyvhzvmm	24	29	mortality	mortality	NN
cord-239632-dyvhzvmm	24	30	during	during	IN
cord-239632-dyvhzvmm	24	31	the	the	DT
cord-239632-dyvhzvmm	24	32	pandemic	pandemic	NN
cord-239632-dyvhzvmm	24	33	.	.	.
cord-239632-dyvhzvmm	25	1	In	in	IN
cord-239632-dyvhzvmm	25	2	section	section	NN
cord-239632-dyvhzvmm	25	3	six	six	CD
cord-239632-dyvhzvmm	25	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	25	5	study	study	VBP
cord-239632-dyvhzvmm	25	6	the	the	DT
cord-239632-dyvhzvmm	25	7	effect	effect	NN
cord-239632-dyvhzvmm	25	8	of	of	IN
cord-239632-dyvhzvmm	25	9	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	25	10	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	25	11	that	that	WDT
cord-239632-dyvhzvmm	25	12	do	do	VBP
cord-239632-dyvhzvmm	25	13	not	not	RB
cord-239632-dyvhzvmm	25	14	prevent	prevent	VB
cord-239632-dyvhzvmm	25	15	infection	infection	NN
cord-239632-dyvhzvmm	25	16	but	but	CC
cord-239632-dyvhzvmm	25	17	may	may	MD
cord-239632-dyvhzvmm	25	18	lessen	lessen	VB
cord-239632-dyvhzvmm	25	19	the	the	DT
cord-239632-dyvhzvmm	25	20	severity	severity	NN
cord-239632-dyvhzvmm	25	21	and	and	CC
cord-239632-dyvhzvmm	25	22	mortality	mortality	NN
cord-239632-dyvhzvmm	25	23	of	of	IN
cord-239632-dyvhzvmm	25	24	the	the	DT
cord-239632-dyvhzvmm	25	25	pandemic	pandemic	NN
cord-239632-dyvhzvmm	25	26	by	by	IN
cord-239632-dyvhzvmm	25	27	studying	study	VBG
cord-239632-dyvhzvmm	25	28	the	the	DT
cord-239632-dyvhzvmm	25	29	model	model	NN
cord-239632-dyvhzvmm	25	30	with	with	IN
cord-239632-dyvhzvmm	25	31	separate	separate	JJ
cord-239632-dyvhzvmm	25	32	age	age	NN
cord-239632-dyvhzvmm	25	33	groups	group	NNS
cord-239632-dyvhzvmm	25	34	both	both	CC
cord-239632-dyvhzvmm	25	35	with	with	IN
cord-239632-dyvhzvmm	25	36	and	and	CC
cord-239632-dyvhzvmm	25	37	without	without	IN
cord-239632-dyvhzvmm	25	38	the	the	DT
cord-239632-dyvhzvmm	25	39	use	use	NN
cord-239632-dyvhzvmm	25	40	of	of	IN
cord-239632-dyvhzvmm	25	41	a	a	DT
cord-239632-dyvhzvmm	25	42	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	25	43	vaccine	vaccine	NN
cord-239632-dyvhzvmm	25	44	.	.	.
cord-239632-dyvhzvmm	26	1	Finally	finally	RB
cord-239632-dyvhzvmm	26	2	in	in	IN
cord-239632-dyvhzvmm	26	3	section	section	NN
cord-239632-dyvhzvmm	26	4	seven	seven	CD
cord-239632-dyvhzvmm	27	1	we	-PRON-	PRP
cord-239632-dyvhzvmm	27	2	state	state	VBP
cord-239632-dyvhzvmm	27	3	the	the	DT
cord-239632-dyvhzvmm	27	4	main	main	JJ
cord-239632-dyvhzvmm	27	5	conclusions	conclusion	NNS
cord-239632-dyvhzvmm	27	6	of	of	IN
cord-239632-dyvhzvmm	27	7	the	the	DT
cord-239632-dyvhzvmm	27	8	paper	paper	NN
cord-239632-dyvhzvmm	27	9	and	and	CC
cord-239632-dyvhzvmm	27	10	opportunities	opportunity	NNS
cord-239632-dyvhzvmm	27	11	for	for	IN
cord-239632-dyvhzvmm	27	12	further	further	JJ
cord-239632-dyvhzvmm	27	13	exploration	exploration	NN
cord-239632-dyvhzvmm	27	14	of	of	IN
cord-239632-dyvhzvmm	27	15	the	the	DT
cord-239632-dyvhzvmm	27	16	common	common	JJ
cord-239632-dyvhzvmm	27	17	features	feature	NNS
cord-239632-dyvhzvmm	27	18	of	of	IN
cord-239632-dyvhzvmm	27	19	pandemic	pandemic	NN
cord-239632-dyvhzvmm	27	20	modeling	modeling	NN
cord-239632-dyvhzvmm	27	21	and	and	CC
cord-239632-dyvhzvmm	27	22	remormalization	remormalization	NNP
cord-239632-dyvhzvmm	27	23	group	group	NN
cord-239632-dyvhzvmm	27	24	equations	equation	NNS
cord-239632-dyvhzvmm	27	25	.	.	.
cord-239632-dyvhzvmm	27	26	 	 	_SP
cord-239632-dyvhzvmm	28	1	Here	here	RB
cord-239632-dyvhzvmm	28	2	S	S	NNP
cord-239632-dyvhzvmm	28	3	is	be	VBZ
cord-239632-dyvhzvmm	28	4	the	the	DT
cord-239632-dyvhzvmm	28	5	fraction	fraction	NN
cord-239632-dyvhzvmm	28	6	of	of	IN
cord-239632-dyvhzvmm	28	7	the	the	DT
cord-239632-dyvhzvmm	28	8	population	population	NN
cord-239632-dyvhzvmm	28	9	of	of	IN
cord-239632-dyvhzvmm	28	10	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	28	11	individuals	individual	NNS
cord-239632-dyvhzvmm	28	12	,	,	,
cord-239632-dyvhzvmm	28	13	I	-PRON-	PRP
cord-239632-dyvhzvmm	28	14	is	be	VBZ
cord-239632-dyvhzvmm	28	15	the	the	DT
cord-239632-dyvhzvmm	28	16	fraction	fraction	NN
cord-239632-dyvhzvmm	28	17	of	of	IN
cord-239632-dyvhzvmm	28	18	infected	infected	JJ
cord-239632-dyvhzvmm	28	19	individuals	individual	NNS
cord-239632-dyvhzvmm	28	20	and	and	CC
cord-239632-dyvhzvmm	28	21	R	r	NN
cord-239632-dyvhzvmm	28	22	is	be	VBZ
cord-239632-dyvhzvmm	28	23	the	the	DT
cord-239632-dyvhzvmm	28	24	fraction	fraction	NN
cord-239632-dyvhzvmm	28	25	of	of	IN
cord-239632-dyvhzvmm	28	26	recovered	recover	VBN
cord-239632-dyvhzvmm	28	27	individuals	individual	NNS
cord-239632-dyvhzvmm	28	28	.	.	.
cord-239632-dyvhzvmm	29	1	In	in	IN
cord-239632-dyvhzvmm	29	2	these	these	DT
cord-239632-dyvhzvmm	29	3	equations	equation	NNS
cord-239632-dyvhzvmm	29	4	β	β	NNP
cord-239632-dyvhzvmm	29	5	and	and	CC
cord-239632-dyvhzvmm	29	6	γ	γ	NNP
cord-239632-dyvhzvmm	29	7	are	be	VBP
cord-239632-dyvhzvmm	29	8	constants	constant	NNS
cord-239632-dyvhzvmm	29	9	associated	associate	VBN
cord-239632-dyvhzvmm	29	10	with	with	IN
cord-239632-dyvhzvmm	29	11	the	the	DT
cord-239632-dyvhzvmm	29	12	epidemics	epidemic	NNS
cord-239632-dyvhzvmm	29	13	that	that	WDT
cord-239632-dyvhzvmm	29	14	determine	determine	VBP
cord-239632-dyvhzvmm	29	15	the	the	DT
cord-239632-dyvhzvmm	29	16	likelihood	likelihood	NN
cord-239632-dyvhzvmm	29	17	of	of	IN
cord-239632-dyvhzvmm	29	18	infection	infection	NN
cord-239632-dyvhzvmm	29	19	and	and	CC
cord-239632-dyvhzvmm	29	20	the	the	DT
cord-239632-dyvhzvmm	29	21	rate	rate	NN
cord-239632-dyvhzvmm	29	22	of	of	IN
cord-239632-dyvhzvmm	29	23	recovery	recovery	NN
cord-239632-dyvhzvmm	29	24	.	.	.
cord-239632-dyvhzvmm	30	1	Another	another	DT
cord-239632-dyvhzvmm	30	2	model	model	NN
cord-239632-dyvhzvmm	30	3	that	that	IN
cord-239632-dyvhzvmm	30	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	30	5	will	will	MD
cord-239632-dyvhzvmm	30	6	use	use	VB
cord-239632-dyvhzvmm	30	7	is	be	VBZ
cord-239632-dyvhzvmm	30	8	the	the	DT
cord-239632-dyvhzvmm	30	9	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	30	10	model	model	NN
cord-239632-dyvhzvmm	30	11	which	which	WDT
cord-239632-dyvhzvmm	30	12	is	be	VBZ
cord-239632-dyvhzvmm	30	13	similar	similar	JJ
cord-239632-dyvhzvmm	30	14	to	to	IN
cord-239632-dyvhzvmm	30	15	the	the	DT
cord-239632-dyvhzvmm	30	16	SIR	SIR	NNP
cord-239632-dyvhzvmm	30	17	model	model	NN
cord-239632-dyvhzvmm	30	18	but	but	CC
cord-239632-dyvhzvmm	30	19	takes	take	VBZ
cord-239632-dyvhzvmm	30	20	into	into	IN
cord-239632-dyvhzvmm	30	21	account	account	NN
cord-239632-dyvhzvmm	30	22	mortality	mortality	NN
cord-239632-dyvhzvmm	30	23	associated	associate	VBN
cord-239632-dyvhzvmm	30	24	with	with	IN
cord-239632-dyvhzvmm	30	25	the	the	DT
cord-239632-dyvhzvmm	30	26	infection	infection	NN
cord-239632-dyvhzvmm	30	27	.	.	.
cord-239632-dyvhzvmm	31	1	For	for	IN
cord-239632-dyvhzvmm	31	2	the	the	DT
cord-239632-dyvhzvmm	31	3	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	31	4	model	model	NN
cord-239632-dyvhzvmm	31	5	the	the	DT
cord-239632-dyvhzvmm	31	6	compartment	compartment	NN
cord-239632-dyvhzvmm	31	7	equations	equation	NNS
cord-239632-dyvhzvmm	31	8	are	be	VBP
cord-239632-dyvhzvmm	31	9	:	:	:
cord-239632-dyvhzvmm	31	10	with	with	IN
cord-239632-dyvhzvmm	31	11	initial	initial	JJ
cord-239632-dyvhzvmm	31	12	conditions	condition	NNS
cord-239632-dyvhzvmm	32	1	Here	here	RB
cord-239632-dyvhzvmm	32	2	S	S	NNP
cord-239632-dyvhzvmm	32	3	is	be	VBZ
cord-239632-dyvhzvmm	32	4	the	the	DT
cord-239632-dyvhzvmm	32	5	fraction	fraction	NN
cord-239632-dyvhzvmm	32	6	of	of	IN
cord-239632-dyvhzvmm	32	7	the	the	DT
cord-239632-dyvhzvmm	32	8	population	population	NN
cord-239632-dyvhzvmm	32	9	of	of	IN
cord-239632-dyvhzvmm	32	10	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	32	11	individuals	individual	NNS
cord-239632-dyvhzvmm	32	12	,	,	,
cord-239632-dyvhzvmm	32	13	I	-PRON-	PRP
cord-239632-dyvhzvmm	32	14	is	be	VBZ
cord-239632-dyvhzvmm	32	15	the	the	DT
cord-239632-dyvhzvmm	32	16	fraction	fraction	NN
cord-239632-dyvhzvmm	32	17	of	of	IN
cord-239632-dyvhzvmm	32	18	infected	infected	JJ
cord-239632-dyvhzvmm	32	19	individuals	individual	NNS
cord-239632-dyvhzvmm	32	20	,	,	,
cord-239632-dyvhzvmm	32	21	R	r	NN
cord-239632-dyvhzvmm	32	22	is	be	VBZ
cord-239632-dyvhzvmm	32	23	the	the	DT
cord-239632-dyvhzvmm	32	24	fraction	fraction	NN
cord-239632-dyvhzvmm	32	25	of	of	IN
cord-239632-dyvhzvmm	32	26	recovered	recover	VBN
cord-239632-dyvhzvmm	32	27	individuals	individual	NNS
cord-239632-dyvhzvmm	32	28	and	and	CC
cord-239632-dyvhzvmm	32	29	D	D	NNP
cord-239632-dyvhzvmm	32	30	is	be	VBZ
cord-239632-dyvhzvmm	32	31	the	the	DT
cord-239632-dyvhzvmm	32	32	fraction	fraction	NN
cord-239632-dyvhzvmm	32	33	of	of	IN
cord-239632-dyvhzvmm	32	34	deceased	deceased	JJ
cord-239632-dyvhzvmm	32	35	individuals	individual	NNS
cord-239632-dyvhzvmm	32	36	.	.	.
cord-239632-dyvhzvmm	33	1	In	in	IN
cord-239632-dyvhzvmm	33	2	these	these	DT
cord-239632-dyvhzvmm	33	3	equations	equation	NNS
cord-239632-dyvhzvmm	33	4	β	β	NNP
cord-239632-dyvhzvmm	33	5	,	,	,
cord-239632-dyvhzvmm	33	6	γ	γ	NN
cord-239632-dyvhzvmm	33	7	and	and	CC
cord-239632-dyvhzvmm	33	8	µ	µ	NNS
cord-239632-dyvhzvmm	33	9	are	be	VBP
cord-239632-dyvhzvmm	33	10	constants	constant	NNS
cord-239632-dyvhzvmm	33	11	associated	associate	VBN
cord-239632-dyvhzvmm	33	12	with	with	IN
cord-239632-dyvhzvmm	33	13	the	the	DT
cord-239632-dyvhzvmm	33	14	epidemics	epidemic	NNS
cord-239632-dyvhzvmm	33	15	that	that	WDT
cord-239632-dyvhzvmm	33	16	determine	determine	VBP
cord-239632-dyvhzvmm	33	17	the	the	DT
cord-239632-dyvhzvmm	33	18	likelihood	likelihood	NN
cord-239632-dyvhzvmm	33	19	of	of	IN
cord-239632-dyvhzvmm	33	20	infection	infection	NN
cord-239632-dyvhzvmm	33	21	,	,	,
cord-239632-dyvhzvmm	33	22	the	the	DT
cord-239632-dyvhzvmm	33	23	rate	rate	NN
cord-239632-dyvhzvmm	33	24	of	of	IN
cord-239632-dyvhzvmm	33	25	recovery	recovery	NN
cord-239632-dyvhzvmm	33	26	and	and	CC
cord-239632-dyvhzvmm	33	27	the	the	DT
cord-239632-dyvhzvmm	33	28	rate	rate	NN
cord-239632-dyvhzvmm	33	29	of	of	IN
cord-239632-dyvhzvmm	33	30	dying	die	VBG
cord-239632-dyvhzvmm	33	31	from	from	IN
cord-239632-dyvhzvmm	33	32	the	the	DT
cord-239632-dyvhzvmm	33	33	infection	infection	NN
cord-239632-dyvhzvmm	33	34	.	.	.
cord-239632-dyvhzvmm	34	1	For	for	IN
cord-239632-dyvhzvmm	34	2	small	small	JJ
cord-239632-dyvhzvmm	34	3	number	number	NN
cord-239632-dyvhzvmm	34	4	of	of	IN
cord-239632-dyvhzvmm	34	5	compartments	compartment	NNS
cord-239632-dyvhzvmm	34	6	these	these	DT
cord-239632-dyvhzvmm	34	7	epidemic	epidemic	NN
cord-239632-dyvhzvmm	34	8	equations	equation	NNS
cord-239632-dyvhzvmm	34	9	are	be	VBP
cord-239632-dyvhzvmm	34	10	not	not	RB
cord-239632-dyvhzvmm	34	11	difficult	difficult	JJ
cord-239632-dyvhzvmm	34	12	to	to	TO
cord-239632-dyvhzvmm	34	13	solve	solve	VB
cord-239632-dyvhzvmm	34	14	numerically	numerically	RB
cord-239632-dyvhzvmm	34	15	using	use	VBG
cord-239632-dyvhzvmm	34	16	software	software	NN
cord-239632-dyvhzvmm	34	17	such	such	JJ
cord-239632-dyvhzvmm	34	18	as	as	IN
cord-239632-dyvhzvmm	34	19	Mathematica	Mathematica	NNP
cord-239632-dyvhzvmm	34	20	or	or	CC
cord-239632-dyvhzvmm	34	21	MATLAB	MATLAB	NNP
cord-239632-dyvhzvmm	34	22	[	[	-LRB-
cord-239632-dyvhzvmm	34	23	8	8	CD
cord-239632-dyvhzvmm	34	24	]	]	-RRB-
cord-239632-dyvhzvmm	34	25	.	.	.
cord-239632-dyvhzvmm	35	1	In	in	IN
cord-239632-dyvhzvmm	35	2	figure	figure	NN
cord-239632-dyvhzvmm	35	3	1	1	CD
cord-239632-dyvhzvmm	35	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	35	5	show	show	VBP
cord-239632-dyvhzvmm	35	6	the	the	DT
cord-239632-dyvhzvmm	35	7	numerical	numerical	JJ
cord-239632-dyvhzvmm	35	8	solution	solution	NN
cord-239632-dyvhzvmm	35	9	for	for	IN
cord-239632-dyvhzvmm	35	10	an	an	DT
cord-239632-dyvhzvmm	35	11	epidemic	epidemic	NN
cord-239632-dyvhzvmm	35	12	described	describe	VBN
cord-239632-dyvhzvmm	35	13	by	by	IN
cord-239632-dyvhzvmm	35	14	an	an	DT
cord-239632-dyvhzvmm	35	15	SIR	SIR	NNP
cord-239632-dyvhzvmm	35	16	model	model	NN
cord-239632-dyvhzvmm	35	17	for	for	IN
cord-239632-dyvhzvmm	35	18	parameters	parameter	NNS
cord-239632-dyvhzvmm	35	19	(	(	-LRB-
cord-239632-dyvhzvmm	35	20	β	β	NN
cord-239632-dyvhzvmm	35	21	=	=	SYM
cord-239632-dyvhzvmm	35	22	3/2	3/2	NN
cord-239632-dyvhzvmm	35	23	,	,	,
cord-239632-dyvhzvmm	35	24	γ	γ	NN
cord-239632-dyvhzvmm	35	25	=	=	SYM
cord-239632-dyvhzvmm	35	26	2/3	2/3	CD
cord-239632-dyvhzvmm	35	27	)	)	-RRB-
cord-239632-dyvhzvmm	35	28	with	with	IN
cord-239632-dyvhzvmm	35	29	initial	initial	JJ
cord-239632-dyvhzvmm	35	30	conditions	condition	NNS
cord-239632-dyvhzvmm	35	31	(	(	-LRB-
cord-239632-dyvhzvmm	35	32	S	s	NN
cord-239632-dyvhzvmm	35	33	0	0	CD
cord-239632-dyvhzvmm	35	34	=	=	SYM
cord-239632-dyvhzvmm	35	35	.999	.999	CD
cord-239632-dyvhzvmm	35	36	,	,	,
cord-239632-dyvhzvmm	35	37	I	i	NN
cord-239632-dyvhzvmm	35	38	0	0	CD
cord-239632-dyvhzvmm	35	39	=	=	SYM
cord-239632-dyvhzvmm	35	40	.001	.001	NN
cord-239632-dyvhzvmm	35	41	,	,	,
cord-239632-dyvhzvmm	35	42	R	r	NN
cord-239632-dyvhzvmm	35	43	0	0	CD
cord-239632-dyvhzvmm	35	44	=	=	SYM
cord-239632-dyvhzvmm	35	45	0	0	CD
cord-239632-dyvhzvmm	35	46	)	)	-RRB-
cord-239632-dyvhzvmm	35	47	.	.	.
cord-239632-dyvhzvmm	35	48	 	 	_SP
cord-239632-dyvhzvmm	36	1	In	in	IN
cord-239632-dyvhzvmm	36	2	the	the	DT
cord-239632-dyvhzvmm	36	3	compartmental	compartmental	JJ
cord-239632-dyvhzvmm	36	4	models	model	NNS
cord-239632-dyvhzvmm	36	5	of	of	IN
cord-239632-dyvhzvmm	36	6	epidemics	epidemic	NNS
cord-239632-dyvhzvmm	36	7	one	one	PRP
cord-239632-dyvhzvmm	36	8	has	have	VBZ
cord-239632-dyvhzvmm	36	9	different	different	JJ
cord-239632-dyvhzvmm	36	10	compartments	compartment	NNS
cord-239632-dyvhzvmm	36	11	associated	associate	VBN
cord-239632-dyvhzvmm	36	12	with	with	IN
cord-239632-dyvhzvmm	36	13	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	36	14	,	,	,
cord-239632-dyvhzvmm	36	15	infected	infected	JJ
cord-239632-dyvhzvmm	36	16	,	,	,
cord-239632-dyvhzvmm	36	17	recovered	recover	VBN
cord-239632-dyvhzvmm	36	18	and	and	CC
cord-239632-dyvhzvmm	36	19	deceased	deceased	JJ
cord-239632-dyvhzvmm	36	20	individuals	individual	NNS
cord-239632-dyvhzvmm	36	21	.	.	.
cord-239632-dyvhzvmm	37	1	In	in	IN
cord-239632-dyvhzvmm	37	2	the	the	DT
cord-239632-dyvhzvmm	37	3	renormalization	renormalization	NN
cord-239632-dyvhzvmm	37	4	group	group	NN
cord-239632-dyvhzvmm	37	5	equations	equation	NNS
cord-239632-dyvhzvmm	37	6	of	of	IN
cord-239632-dyvhzvmm	37	7	high	high	JJ
cord-239632-dyvhzvmm	37	8	energy	energy	NN
cord-239632-dyvhzvmm	37	9	physics	physics	NN
cord-239632-dyvhzvmm	37	10	instead	instead	RB
cord-239632-dyvhzvmm	37	11	of	of	IN
cord-239632-dyvhzvmm	37	12	compartments	compartment	NNS
cord-239632-dyvhzvmm	37	13	one	one	PRP
cord-239632-dyvhzvmm	37	14	has	have	VBZ
cord-239632-dyvhzvmm	37	15	coupling	couple	VBG
cord-239632-dyvhzvmm	37	16	constants	constant	NNS
cord-239632-dyvhzvmm	37	17	that	that	WDT
cord-239632-dyvhzvmm	37	18	describe	describe	VBP
cord-239632-dyvhzvmm	37	19	interactions	interaction	NNS
cord-239632-dyvhzvmm	37	20	in	in	IN
cord-239632-dyvhzvmm	37	21	the	the	DT
cord-239632-dyvhzvmm	37	22	high	high	JJ
cord-239632-dyvhzvmm	37	23	energy	energy	NN
cord-239632-dyvhzvmm	37	24	physics	physics	NN
cord-239632-dyvhzvmm	37	25	model	model	NN
cord-239632-dyvhzvmm	37	26	.	.	.
cord-239632-dyvhzvmm	38	1	Instead	instead	RB
cord-239632-dyvhzvmm	38	2	of	of	IN
cord-239632-dyvhzvmm	38	3	evolving	evolve	VBG
cord-239632-dyvhzvmm	38	4	the	the	DT
cord-239632-dyvhzvmm	38	5	system	system	NN
cord-239632-dyvhzvmm	38	6	of	of	IN
cord-239632-dyvhzvmm	38	7	equations	equation	NNS
cord-239632-dyvhzvmm	38	8	in	in	IN
cord-239632-dyvhzvmm	38	9	time	time	NN
cord-239632-dyvhzvmm	38	10	as	as	IN
cord-239632-dyvhzvmm	38	11	in	in	IN
cord-239632-dyvhzvmm	38	12	the	the	DT
cord-239632-dyvhzvmm	38	13	equations	equation	NNS
cord-239632-dyvhzvmm	38	14	of	of	IN
cord-239632-dyvhzvmm	38	15	epidemic	epidemic	NN
cord-239632-dyvhzvmm	38	16	modeling	modeling	NN
cord-239632-dyvhzvmm	38	17	in	in	IN
cord-239632-dyvhzvmm	38	18	the	the	DT
cord-239632-dyvhzvmm	38	19	renomalization	renomalization	NN
cord-239632-dyvhzvmm	38	20	group	group	NN
cord-239632-dyvhzvmm	38	21	equation	equation	NN
cord-239632-dyvhzvmm	38	22	one	one	CD
cord-239632-dyvhzvmm	38	23	has	have	VBZ
cord-239632-dyvhzvmm	38	24	evolution	evolution	NN
cord-239632-dyvhzvmm	38	25	with	with	IN
cord-239632-dyvhzvmm	38	26	respect	respect	NN
cord-239632-dyvhzvmm	38	27	to	to	IN
cord-239632-dyvhzvmm	38	28	energy	energy	NN
cord-239632-dyvhzvmm	38	29	scale	scale	NN
cord-239632-dyvhzvmm	38	30	whose	whose	WP$
cord-239632-dyvhzvmm	38	31	logarithm	logarithm	NN
cord-239632-dyvhzvmm	38	32	is	be	VBZ
cord-239632-dyvhzvmm	38	33	denoted	denote	VBN
cord-239632-dyvhzvmm	38	34	as	as	IN
cord-239632-dyvhzvmm	38	35	t.	t.	NN
cord-239632-dyvhzvmm	39	1	Perhaps	perhaps	RB
cord-239632-dyvhzvmm	39	2	the	the	DT
cord-239632-dyvhzvmm	39	3	most	most	RBS
cord-239632-dyvhzvmm	39	4	important	important	JJ
cord-239632-dyvhzvmm	39	5	system	system	NN
cord-239632-dyvhzvmm	39	6	of	of	IN
cord-239632-dyvhzvmm	39	7	renormalization	renormalization	NN
cord-239632-dyvhzvmm	39	8	group	group	NN
cord-239632-dyvhzvmm	39	9	equations	equation	NNS
cord-239632-dyvhzvmm	39	10	of	of	IN
cord-239632-dyvhzvmm	39	11	high	high	JJ
cord-239632-dyvhzvmm	39	12	energy	energy	NN
cord-239632-dyvhzvmm	39	13	physics	physics	NN
cord-239632-dyvhzvmm	39	14	is	be	VBZ
cord-239632-dyvhzvmm	39	15	the	the	DT
cord-239632-dyvhzvmm	39	16	equations	equation	NNS
cord-239632-dyvhzvmm	39	17	governing	govern	VBG
cord-239632-dyvhzvmm	39	18	the	the	DT
cord-239632-dyvhzvmm	39	19	coupling	coupling	NN
cord-239632-dyvhzvmm	39	20	constants	constant	NNS
cord-239632-dyvhzvmm	39	21	of	of	IN
cord-239632-dyvhzvmm	39	22	the	the	DT
cord-239632-dyvhzvmm	39	23	standard	standard	JJ
cord-239632-dyvhzvmm	39	24	model	model	NN
cord-239632-dyvhzvmm	39	25	of	of	IN
cord-239632-dyvhzvmm	39	26	high	high	JJ
cord-239632-dyvhzvmm	39	27	energy	energy	NN
cord-239632-dyvhzvmm	39	28	physics	physics	NN
cord-239632-dyvhzvmm	39	29	[	[	-LRB-
cord-239632-dyvhzvmm	39	30	9	9	CD
cord-239632-dyvhzvmm	39	31	]	]	-RRB-
cord-239632-dyvhzvmm	39	32	.	.	.
cord-239632-dyvhzvmm	40	1	These	these	DT
cord-239632-dyvhzvmm	40	2	can	can	MD
cord-239632-dyvhzvmm	40	3	be	be	VB
cord-239632-dyvhzvmm	40	4	written	write	VBN
cord-239632-dyvhzvmm	40	5	as	as	IN
cord-239632-dyvhzvmm	40	6	:	:	:
cord-239632-dyvhzvmm	40	7	with	with	IN
cord-239632-dyvhzvmm	40	8	the	the	DT
cord-239632-dyvhzvmm	40	9	right	right	JJ
cord-239632-dyvhzvmm	40	10	hand	hand	NN
cord-239632-dyvhzvmm	40	11	side	side	NN
cord-239632-dyvhzvmm	40	12	give	give	VB
cord-239632-dyvhzvmm	40	13	by	by	IN
cord-239632-dyvhzvmm	40	14	the	the	DT
cord-239632-dyvhzvmm	40	15	beta	beta	NN
cord-239632-dyvhzvmm	40	16	functions	function	NNS
cord-239632-dyvhzvmm	40	17	of	of	IN
cord-239632-dyvhzvmm	40	18	the	the	DT
cord-239632-dyvhzvmm	40	19	theory	theory	NN
cord-239632-dyvhzvmm	40	20	whose	whose	WP$
cord-239632-dyvhzvmm	40	21	coefficients	coefficient	NNS
cord-239632-dyvhzvmm	40	22	are	be	VBP
cord-239632-dyvhzvmm	40	23	computed	compute	VBN
cord-239632-dyvhzvmm	40	24	using	use	VBG
cord-239632-dyvhzvmm	40	25	Feynman	Feynman	NNP
cord-239632-dyvhzvmm	40	26	diagrams	diagram	NNS
cord-239632-dyvhzvmm	40	27	and	and	CC
cord-239632-dyvhzvmm	40	28	are	be	VBP
cord-239632-dyvhzvmm	40	29	given	give	VBN
cord-239632-dyvhzvmm	40	30	by	by	IN
cord-239632-dyvhzvmm	40	31	:	:	:
cord-239632-dyvhzvmm	40	32	with	with	IN
cord-239632-dyvhzvmm	40	33	initial	initial	JJ
cord-239632-dyvhzvmm	40	34	conditions	condition	NNS
cord-239632-dyvhzvmm	40	35	given	give	VBN
cord-239632-dyvhzvmm	40	36	by	by	IN
cord-239632-dyvhzvmm	40	37	:	:	:
cord-239632-dyvhzvmm	40	38	In	in	IN
cord-239632-dyvhzvmm	40	39	these	these	DT
cord-239632-dyvhzvmm	40	40	equations	equation	NNS
cord-239632-dyvhzvmm	40	41	λ	λ	NNP
cord-239632-dyvhzvmm	40	42	is	be	VBZ
cord-239632-dyvhzvmm	40	43	the	the	DT
cord-239632-dyvhzvmm	40	44	coupling	coupling	NN
cord-239632-dyvhzvmm	40	45	constant	constant	NN
cord-239632-dyvhzvmm	40	46	of	of	IN
cord-239632-dyvhzvmm	40	47	the	the	DT
cord-239632-dyvhzvmm	40	48	Higgs	Higgs	NNP
cord-239632-dyvhzvmm	40	49	boson	boson	NN
cord-239632-dyvhzvmm	40	50	,	,	,
cord-239632-dyvhzvmm	40	51	y	y	NNP
cord-239632-dyvhzvmm	40	52	t	t	NNP
cord-239632-dyvhzvmm	40	53	is	be	VBZ
cord-239632-dyvhzvmm	40	54	the	the	DT
cord-239632-dyvhzvmm	40	55	coupling	coupling	NN
cord-239632-dyvhzvmm	40	56	constant	constant	NN
cord-239632-dyvhzvmm	40	57	of	of	IN
cord-239632-dyvhzvmm	40	58	the	the	DT
cord-239632-dyvhzvmm	40	59	top	top	JJ
cord-239632-dyvhzvmm	40	60	quark	quark	NN
cord-239632-dyvhzvmm	40	61	and	and	CC
cord-239632-dyvhzvmm	41	1	(	(	-LRB-
cord-239632-dyvhzvmm	41	2	g	g	NNP
cord-239632-dyvhzvmm	41	3	1	1	CD
cord-239632-dyvhzvmm	41	4	,	,	,
cord-239632-dyvhzvmm	41	5	g	g	NNP
cord-239632-dyvhzvmm	41	6	2	2	CD
cord-239632-dyvhzvmm	41	7	,	,	,
cord-239632-dyvhzvmm	41	8	g	g	NNP
cord-239632-dyvhzvmm	41	9	3	3	CD
cord-239632-dyvhzvmm	41	10	)	)	-RRB-
cord-239632-dyvhzvmm	41	11	are	be	VBP
cord-239632-dyvhzvmm	41	12	the	the	DT
cord-239632-dyvhzvmm	41	13	coupling	coupling	NN
cord-239632-dyvhzvmm	41	14	constants	constant	NNS
cord-239632-dyvhzvmm	41	15	the	the	DT
cord-239632-dyvhzvmm	41	16	electroweak	electroweak	NN
cord-239632-dyvhzvmm	41	17	and	and	CC
cord-239632-dyvhzvmm	41	18	strong	strong	JJ
cord-239632-dyvhzvmm	41	19	interactions	interaction	NNS
cord-239632-dyvhzvmm	41	20	.	.	.
cord-239632-dyvhzvmm	42	1	Looking	look	VBG
cord-239632-dyvhzvmm	42	2	at	at	IN
cord-239632-dyvhzvmm	42	3	the	the	DT
cord-239632-dyvhzvmm	42	4	structure	structure	NN
cord-239632-dyvhzvmm	42	5	of	of	IN
cord-239632-dyvhzvmm	42	6	the	the	DT
cord-239632-dyvhzvmm	42	7	system	system	NN
cord-239632-dyvhzvmm	42	8	of	of	IN
cord-239632-dyvhzvmm	42	9	differential	differential	JJ
cord-239632-dyvhzvmm	42	10	equations	equation	NNS
cord-239632-dyvhzvmm	42	11	describing	describe	VBG
cord-239632-dyvhzvmm	42	12	the	the	DT
cord-239632-dyvhzvmm	42	13	renormalization	renormalization	NN
cord-239632-dyvhzvmm	42	14	group	group	NN
cord-239632-dyvhzvmm	42	15	one	one	PRP
cord-239632-dyvhzvmm	42	16	can	can	MD
cord-239632-dyvhzvmm	42	17	see	see	VB
cord-239632-dyvhzvmm	42	18	that	that	IN
cord-239632-dyvhzvmm	42	19	it	-PRON-	PRP
cord-239632-dyvhzvmm	42	20	describes	describe	VBZ
cord-239632-dyvhzvmm	42	21	a	a	DT
cord-239632-dyvhzvmm	42	22	system	system	NN
cord-239632-dyvhzvmm	42	23	of	of	IN
cord-239632-dyvhzvmm	42	24	similar	similar	JJ
cord-239632-dyvhzvmm	42	25	complexity	complexity	NN
cord-239632-dyvhzvmm	42	26	to	to	IN
cord-239632-dyvhzvmm	42	27	a	a	DT
cord-239632-dyvhzvmm	42	28	five	five	CD
cord-239632-dyvhzvmm	42	29	compartment	compartment	NN
cord-239632-dyvhzvmm	42	30	epidemic	epidemic	NN
cord-239632-dyvhzvmm	42	31	model	model	NN
cord-239632-dyvhzvmm	42	32	.	.	.
cord-239632-dyvhzvmm	43	1	In	in	IN
cord-239632-dyvhzvmm	43	2	the	the	DT
cord-239632-dyvhzvmm	43	3	following	following	JJ
cord-239632-dyvhzvmm	43	4	sections	section	NNS
cord-239632-dyvhzvmm	43	5	we	-PRON-	PRP
cord-239632-dyvhzvmm	43	6	will	will	MD
cord-239632-dyvhzvmm	43	7	consider	consider	VB
cord-239632-dyvhzvmm	43	8	models	model	NNS
cord-239632-dyvhzvmm	43	9	with	with	IN
cord-239632-dyvhzvmm	43	10	eight	eight	CD
cord-239632-dyvhzvmm	43	11	and	and	CC
cord-239632-dyvhzvmm	43	12	twelve	twelve	CD
cord-239632-dyvhzvmm	43	13	compartments	compartment	NNS
cord-239632-dyvhzvmm	43	14	of	of	IN
cord-239632-dyvhzvmm	43	15	even	even	RB
cord-239632-dyvhzvmm	43	16	greater	great	JJR
cord-239632-dyvhzvmm	43	17	complexity	complexity	NN
cord-239632-dyvhzvmm	43	18	.	.	.
cord-239632-dyvhzvmm	44	1	One	one	PRP
cord-239632-dyvhzvmm	44	2	can	can	MD
cord-239632-dyvhzvmm	44	3	study	study	VB
cord-239632-dyvhzvmm	44	4	a	a	DT
cord-239632-dyvhzvmm	44	5	simpler	simple	JJR
cord-239632-dyvhzvmm	44	6	form	form	NN
cord-239632-dyvhzvmm	44	7	of	of	IN
cord-239632-dyvhzvmm	44	8	renoramlization	renoramlization	NNP
cord-239632-dyvhzvmm	44	9	group	group	NN
cord-239632-dyvhzvmm	44	10	equations	equation	NNS
cord-239632-dyvhzvmm	44	11	associated	associate	VBN
cord-239632-dyvhzvmm	44	12	with	with	IN
cord-239632-dyvhzvmm	44	13	the	the	DT
cord-239632-dyvhzvmm	44	14	Higgs	Higgs	NNP
cord-239632-dyvhzvmm	44	15	boson	boson	NN
cord-239632-dyvhzvmm	44	16	coupled	couple	VBN
cord-239632-dyvhzvmm	44	17	to	to	IN
cord-239632-dyvhzvmm	44	18	the	the	DT
cord-239632-dyvhzvmm	44	19	top	top	JJ
cord-239632-dyvhzvmm	44	20	quark	quark	NN
cord-239632-dyvhzvmm	44	21	in	in	IN
cord-239632-dyvhzvmm	44	22	a	a	DT
cord-239632-dyvhzvmm	44	23	model	model	NN
cord-239632-dyvhzvmm	44	24	referred	refer	VBN
cord-239632-dyvhzvmm	44	25	to	to	IN
cord-239632-dyvhzvmm	44	26	as	as	IN
cord-239632-dyvhzvmm	44	27	the	the	DT
cord-239632-dyvhzvmm	44	28	Yukawa	Yukawa	NNP
cord-239632-dyvhzvmm	44	29	model	model	NN
cord-239632-dyvhzvmm	44	30	[	[	-LRB-
cord-239632-dyvhzvmm	44	31	10	10	CD
cord-239632-dyvhzvmm	44	32	]	]	-RRB-
cord-239632-dyvhzvmm	44	33	.	.	.
cord-239632-dyvhzvmm	45	1	For	for	IN
cord-239632-dyvhzvmm	45	2	this	this	DT
cord-239632-dyvhzvmm	45	3	model	model	NN
cord-239632-dyvhzvmm	45	4	one	one	PRP
cord-239632-dyvhzvmm	45	5	has	have	VBZ
cord-239632-dyvhzvmm	45	6	two	two	CD
cord-239632-dyvhzvmm	45	7	coupling	couple	VBG
cord-239632-dyvhzvmm	45	8	constants	constant	NNS
cord-239632-dyvhzvmm	45	9	and	and	CC
cord-239632-dyvhzvmm	45	10	the	the	DT
cord-239632-dyvhzvmm	45	11	renormalization	renormalization	NN
cord-239632-dyvhzvmm	45	12	group	group	NN
cord-239632-dyvhzvmm	45	13	equations	equation	NNS
cord-239632-dyvhzvmm	45	14	are	be	VBP
cord-239632-dyvhzvmm	45	15	given	give	VBN
cord-239632-dyvhzvmm	45	16	by	by	IN
cord-239632-dyvhzvmm	45	17	:	:	:
cord-239632-dyvhzvmm	45	18	Now	now	RB
cord-239632-dyvhzvmm	45	19	defining	define	VBG
cord-239632-dyvhzvmm	45	20	as	as	IN
cord-239632-dyvhzvmm	45	21	in	in	IN
cord-239632-dyvhzvmm	45	22	[	[	-LRB-
cord-239632-dyvhzvmm	45	23	10	10	CD
cord-239632-dyvhzvmm	45	24	]	]	-RRB-
cord-239632-dyvhzvmm	45	25	:	:	:
cord-239632-dyvhzvmm	45	26	 	 	_SP
cord-239632-dyvhzvmm	46	1	we	-PRON-	PRP
cord-239632-dyvhzvmm	46	2	have	have	VBP
cord-239632-dyvhzvmm	46	3	:	:	:
cord-239632-dyvhzvmm	46	4	with	with	IN
cord-239632-dyvhzvmm	46	5	β	β	NNP
cord-239632-dyvhzvmm	46	6	a	a	DT
cord-239632-dyvhzvmm	46	7	λ	λ	NN
cord-239632-dyvhzvmm	46	8	=	=	XX
cord-239632-dyvhzvmm	47	1	2(12a	2(12a	LS
cord-239632-dyvhzvmm	47	2	2	2	CD
cord-239632-dyvhzvmm	47	3	λ	λ	NN
cord-239632-dyvhzvmm	47	4	+	+	SYM
cord-239632-dyvhzvmm	47	5	2a	2a	NNP
cord-239632-dyvhzvmm	47	6	y	y	NNP
cord-239632-dyvhzvmm	47	7	a	a	DT
cord-239632-dyvhzvmm	47	8	λ	λ	NNP
cord-239632-dyvhzvmm	47	9	−	−	NN
cord-239632-dyvhzvmm	47	10	a	a	DT
cord-239632-dyvhzvmm	47	11	2	2	CD
cord-239632-dyvhzvmm	47	12	y	y	NN
cord-239632-dyvhzvmm	47	13	)	)	-RRB-
cord-239632-dyvhzvmm	48	1	β	β	NNP
cord-239632-dyvhzvmm	48	2	ay	ay	NNP
cord-239632-dyvhzvmm	48	3	=	=	SYM
cord-239632-dyvhzvmm	48	4	5a	5a	CD
cord-239632-dyvhzvmm	48	5	2	2	CD
cord-239632-dyvhzvmm	48	6	y	y	NN
cord-239632-dyvhzvmm	48	7	(	(	-LRB-
cord-239632-dyvhzvmm	48	8	3.8	3.8	CD
cord-239632-dyvhzvmm	48	9	)	)	-RRB-
cord-239632-dyvhzvmm	49	1	In	in	IN
cord-239632-dyvhzvmm	49	2	this	this	DT
cord-239632-dyvhzvmm	49	3	form	form	NN
cord-239632-dyvhzvmm	49	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	49	5	see	see	VBP
cord-239632-dyvhzvmm	49	6	that	that	IN
cord-239632-dyvhzvmm	49	7	the	the	DT
cord-239632-dyvhzvmm	49	8	renormalization	renormalization	NN
cord-239632-dyvhzvmm	49	9	group	group	NN
cord-239632-dyvhzvmm	49	10	equations	equation	NNS
cord-239632-dyvhzvmm	49	11	of	of	IN
cord-239632-dyvhzvmm	49	12	the	the	DT
cord-239632-dyvhzvmm	49	13	Yukawa	Yukawa	NNP
cord-239632-dyvhzvmm	49	14	theory	theory	NN
cord-239632-dyvhzvmm	49	15	have	have	VBP
cord-239632-dyvhzvmm	49	16	a	a	DT
cord-239632-dyvhzvmm	49	17	strong	strong	JJ
cord-239632-dyvhzvmm	49	18	resemblance	resemblance	NN
cord-239632-dyvhzvmm	49	19	to	to	IN
cord-239632-dyvhzvmm	49	20	the	the	DT
cord-239632-dyvhzvmm	49	21	system	system	NN
cord-239632-dyvhzvmm	49	22	of	of	IN
cord-239632-dyvhzvmm	49	23	differential	differential	JJ
cord-239632-dyvhzvmm	49	24	equations	equation	NNS
cord-239632-dyvhzvmm	49	25	used	use	VBN
cord-239632-dyvhzvmm	49	26	to	to	TO
cord-239632-dyvhzvmm	49	27	describe	describe	VB
cord-239632-dyvhzvmm	49	28	the	the	DT
cord-239632-dyvhzvmm	49	29	SIR	SIR	NNP
cord-239632-dyvhzvmm	49	30	model	model	NN
cord-239632-dyvhzvmm	49	31	.	.	.
cord-239632-dyvhzvmm	50	1	We	-PRON-	PRP
cord-239632-dyvhzvmm	50	2	may	may	MD
cord-239632-dyvhzvmm	50	3	then	then	RB
cord-239632-dyvhzvmm	50	4	expect	expect	VB
cord-239632-dyvhzvmm	50	5	that	that	IN
cord-239632-dyvhzvmm	50	6	techniques	technique	NNS
cord-239632-dyvhzvmm	50	7	and	and	CC
cord-239632-dyvhzvmm	50	8	visualizations	visualization	NNS
cord-239632-dyvhzvmm	50	9	used	use	VBN
cord-239632-dyvhzvmm	50	10	in	in	IN
cord-239632-dyvhzvmm	50	11	the	the	DT
cord-239632-dyvhzvmm	50	12	renormalization	renormalization	NN
cord-239632-dyvhzvmm	50	13	group	group	NN
cord-239632-dyvhzvmm	50	14	equations	equation	NNS
cord-239632-dyvhzvmm	50	15	should	should	MD
cord-239632-dyvhzvmm	50	16	be	be	VB
cord-239632-dyvhzvmm	50	17	applicable	applicable	JJ
cord-239632-dyvhzvmm	50	18	to	to	IN
cord-239632-dyvhzvmm	50	19	the	the	DT
cord-239632-dyvhzvmm	50	20	equations	equation	NNS
cord-239632-dyvhzvmm	50	21	used	use	VBN
cord-239632-dyvhzvmm	50	22	in	in	IN
cord-239632-dyvhzvmm	50	23	epidemic	epidemic	NN
cord-239632-dyvhzvmm	50	24	modeling	modeling	NN
cord-239632-dyvhzvmm	50	25	.	.	.
cord-239632-dyvhzvmm	51	1	Below	below	IN
cord-239632-dyvhzvmm	51	2	we	-PRON-	PRP
cord-239632-dyvhzvmm	51	3	illustrate	illustrate	VBP
cord-239632-dyvhzvmm	51	4	this	this	DT
cord-239632-dyvhzvmm	51	5	using	use	VBG
cord-239632-dyvhzvmm	51	6	the	the	DT
cord-239632-dyvhzvmm	51	7	example	example	NN
cord-239632-dyvhzvmm	51	8	of	of	IN
cord-239632-dyvhzvmm	51	9	flow	flow	NN
cord-239632-dyvhzvmm	51	10	diagrams	diagram	NNS
cord-239632-dyvhzvmm	51	11	and	and	CC
cord-239632-dyvhzvmm	51	12	mixing	mix	VBG
cord-239632-dyvhzvmm	51	13	terms	term	NNS
cord-239632-dyvhzvmm	51	14	in	in	IN
cord-239632-dyvhzvmm	51	15	the	the	DT
cord-239632-dyvhzvmm	51	16	equations	equation	NNS
cord-239632-dyvhzvmm	51	17	.	.	.
cord-239632-dyvhzvmm	51	18	 	 	_SP
cord-239632-dyvhzvmm	52	1	The	the	DT
cord-239632-dyvhzvmm	52	2	renormalization	renormalization	NN
cord-239632-dyvhzvmm	52	3	group	group	NN
cord-239632-dyvhzvmm	52	4	flow	flow	NN
cord-239632-dyvhzvmm	52	5	diagrams	diagram	NNS
cord-239632-dyvhzvmm	52	6	illustrate	illustrate	VBP
cord-239632-dyvhzvmm	52	7	fixed	fix	VBN
cord-239632-dyvhzvmm	52	8	points	point	NNS
cord-239632-dyvhzvmm	52	9	in	in	IN
cord-239632-dyvhzvmm	52	10	the	the	DT
cord-239632-dyvhzvmm	52	11	renormalization	renormalization	NN
cord-239632-dyvhzvmm	52	12	flow	flow	NN
cord-239632-dyvhzvmm	52	13	where	where	WRB
cord-239632-dyvhzvmm	52	14	the	the	DT
cord-239632-dyvhzvmm	52	15	coupling	coupling	NN
cord-239632-dyvhzvmm	52	16	constants	constant	NNS
cord-239632-dyvhzvmm	52	17	do	do	VBP
cord-239632-dyvhzvmm	52	18	not	not	RB
cord-239632-dyvhzvmm	52	19	change	change	VB
cord-239632-dyvhzvmm	52	20	in	in	IN
cord-239632-dyvhzvmm	52	21	scale	scale	NN
cord-239632-dyvhzvmm	52	22	.	.	.
cord-239632-dyvhzvmm	53	1	Thus	thus	RB
cord-239632-dyvhzvmm	53	2	they	-PRON-	PRP
cord-239632-dyvhzvmm	53	3	become	become	VBP
cord-239632-dyvhzvmm	53	4	fixed	fix	VBN
cord-239632-dyvhzvmm	53	5	at	at	IN
cord-239632-dyvhzvmm	53	6	whatever	whatever	WDT
cord-239632-dyvhzvmm	53	7	value	value	NN
cord-239632-dyvhzvmm	53	8	make	make	VBP
cord-239632-dyvhzvmm	53	9	the	the	DT
cord-239632-dyvhzvmm	53	10	beta	beta	NN
cord-239632-dyvhzvmm	53	11	functions	function	NNS
cord-239632-dyvhzvmm	53	12	vanish	vanish	VBP
cord-239632-dyvhzvmm	53	13	.	.	.
cord-239632-dyvhzvmm	54	1	In	in	IN
cord-239632-dyvhzvmm	54	2	the	the	DT
cord-239632-dyvhzvmm	54	3	pandemic	pandemic	NN
cord-239632-dyvhzvmm	54	4	context	context	NN
cord-239632-dyvhzvmm	54	5	a	a	DT
cord-239632-dyvhzvmm	54	6	similar	similar	JJ
cord-239632-dyvhzvmm	54	7	phenomena	phenomena	NN
cord-239632-dyvhzvmm	54	8	happens	happen	VBZ
cord-239632-dyvhzvmm	54	9	when	when	WRB
cord-239632-dyvhzvmm	54	10	we	-PRON-	PRP
cord-239632-dyvhzvmm	54	11	reach	reach	VBP
cord-239632-dyvhzvmm	54	12	a	a	DT
cord-239632-dyvhzvmm	54	13	point	point	NN
cord-239632-dyvhzvmm	54	14	in	in	IN
cord-239632-dyvhzvmm	54	15	the	the	DT
cord-239632-dyvhzvmm	54	16	pandemic	pandemic	NN
cord-239632-dyvhzvmm	54	17	when	when	WRB
cord-239632-dyvhzvmm	54	18	the	the	DT
cord-239632-dyvhzvmm	54	19	number	number	NN
cord-239632-dyvhzvmm	54	20	of	of	IN
cord-239632-dyvhzvmm	54	21	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	54	22	,	,	,
cord-239632-dyvhzvmm	54	23	infected	infected	JJ
cord-239632-dyvhzvmm	54	24	and	and	CC
cord-239632-dyvhzvmm	54	25	recovered	recover	VBN
cord-239632-dyvhzvmm	54	26	individuals	individual	NNS
cord-239632-dyvhzvmm	54	27	are	be	VBP
cord-239632-dyvhzvmm	54	28	not	not	RB
cord-239632-dyvhzvmm	54	29	changing	change	VBG
cord-239632-dyvhzvmm	54	30	in	in	IN
cord-239632-dyvhzvmm	54	31	time	time	NN
cord-239632-dyvhzvmm	54	32	.	.	.
cord-239632-dyvhzvmm	55	1	This	this	DT
cord-239632-dyvhzvmm	55	2	can	can	MD
cord-239632-dyvhzvmm	55	3	occur	occur	VB
cord-239632-dyvhzvmm	55	4	if	if	IN
cord-239632-dyvhzvmm	55	5	the	the	DT
cord-239632-dyvhzvmm	55	6	number	number	NN
cord-239632-dyvhzvmm	55	7	of	of	IN
cord-239632-dyvhzvmm	55	8	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	55	9	individuals	individual	NNS
cord-239632-dyvhzvmm	55	10	dropped	drop	VBD
cord-239632-dyvhzvmm	55	11	to	to	IN
cord-239632-dyvhzvmm	55	12	a	a	DT
cord-239632-dyvhzvmm	55	13	level	level	NN
cord-239632-dyvhzvmm	55	14	that	that	IN
cord-239632-dyvhzvmm	55	15	the	the	DT
cord-239632-dyvhzvmm	55	16	pandemic	pandemic	NN
cord-239632-dyvhzvmm	55	17	is	be	VBZ
cord-239632-dyvhzvmm	55	18	extinguished	extinguish	VBN
cord-239632-dyvhzvmm	55	19	or	or	CC
cord-239632-dyvhzvmm	55	20	it	-PRON-	PRP
cord-239632-dyvhzvmm	55	21	can	can	MD
cord-239632-dyvhzvmm	55	22	also	also	RB
cord-239632-dyvhzvmm	55	23	occur	occur	VB
cord-239632-dyvhzvmm	55	24	if	if	IN
cord-239632-dyvhzvmm	55	25	the	the	DT
cord-239632-dyvhzvmm	55	26	number	number	NN
cord-239632-dyvhzvmm	55	27	of	of	IN
cord-239632-dyvhzvmm	55	28	infected	infected	JJ
cord-239632-dyvhzvmm	55	29	individuals	individual	NNS
cord-239632-dyvhzvmm	55	30	reaches	reach	VBZ
cord-239632-dyvhzvmm	55	31	a	a	DT
cord-239632-dyvhzvmm	55	32	constant	constant	JJ
cord-239632-dyvhzvmm	55	33	level	level	NN
cord-239632-dyvhzvmm	55	34	in	in	IN
cord-239632-dyvhzvmm	55	35	the	the	DT
cord-239632-dyvhzvmm	55	36	population	population	NN
cord-239632-dyvhzvmm	55	37	and	and	CC
cord-239632-dyvhzvmm	55	38	then	then	RB
cord-239632-dyvhzvmm	55	39	the	the	DT
cord-239632-dyvhzvmm	55	40	pandemic	pandemic	NN
cord-239632-dyvhzvmm	55	41	virus	virus	NN
cord-239632-dyvhzvmm	55	42	becomes	become	VBZ
cord-239632-dyvhzvmm	55	43	endemic	endemic	JJ
cord-239632-dyvhzvmm	55	44	in	in	IN
cord-239632-dyvhzvmm	55	45	the	the	DT
cord-239632-dyvhzvmm	55	46	population	population	NN
cord-239632-dyvhzvmm	55	47	.	.	.
cord-239632-dyvhzvmm	56	1	In	in	IN
cord-239632-dyvhzvmm	56	2	such	such	JJ
cord-239632-dyvhzvmm	56	3	cases	case	NNS
cord-239632-dyvhzvmm	56	4	the	the	DT
cord-239632-dyvhzvmm	56	5	fixed	fix	VBN
cord-239632-dyvhzvmm	56	6	points	point	NNS
cord-239632-dyvhzvmm	56	7	of	of	IN
cord-239632-dyvhzvmm	56	8	the	the	DT
cord-239632-dyvhzvmm	56	9	flow	flow	NN
cord-239632-dyvhzvmm	56	10	diagram	diagram	NN
cord-239632-dyvhzvmm	56	11	represent	represent	VBP
cord-239632-dyvhzvmm	56	12	points	point	NNS
cord-239632-dyvhzvmm	56	13	of	of	IN
cord-239632-dyvhzvmm	56	14	endemic	endemic	JJ
cord-239632-dyvhzvmm	56	15	equilibrium	equilibrium	NN
cord-239632-dyvhzvmm	56	16	in	in	IN
cord-239632-dyvhzvmm	56	17	(	(	-LRB-
cord-239632-dyvhzvmm	56	18	S	S	NNP
cord-239632-dyvhzvmm	56	19	,	,	,
cord-239632-dyvhzvmm	56	20	I	-PRON-	PRP
cord-239632-dyvhzvmm	56	21	,	,	,
cord-239632-dyvhzvmm	56	22	R	r	NN
cord-239632-dyvhzvmm	56	23	)	)	-RRB-
cord-239632-dyvhzvmm	56	24	space	space	NN
cord-239632-dyvhzvmm	56	25	[	[	-LRB-
cord-239632-dyvhzvmm	56	26	11	11	CD
cord-239632-dyvhzvmm	56	27	]	]	-RRB-
cord-239632-dyvhzvmm	56	28	[	[	-LRB-
cord-239632-dyvhzvmm	56	29	12	12	CD
cord-239632-dyvhzvmm	56	30	]	]	-RRB-
cord-239632-dyvhzvmm	56	31	.	.	.
cord-239632-dyvhzvmm	57	1	In	in	IN
cord-239632-dyvhzvmm	57	2	figure	figure	NN
cord-239632-dyvhzvmm	57	3	2	2	CD
cord-239632-dyvhzvmm	57	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	57	5	show	show	VBP
cord-239632-dyvhzvmm	57	6	the	the	DT
cord-239632-dyvhzvmm	57	7	renormalization	renormalization	NN
cord-239632-dyvhzvmm	57	8	group	group	NN
cord-239632-dyvhzvmm	57	9	flow	flow	NN
cord-239632-dyvhzvmm	57	10	for	for	IN
cord-239632-dyvhzvmm	57	11	the	the	DT
cord-239632-dyvhzvmm	57	12	Yukawa	Yukawa	NNP
cord-239632-dyvhzvmm	57	13	theory	theory	NN
cord-239632-dyvhzvmm	57	14	considered	consider	VBN
cord-239632-dyvhzvmm	57	15	in	in	IN
cord-239632-dyvhzvmm	57	16	[	[	-LRB-
cord-239632-dyvhzvmm	57	17	10	10	CD
cord-239632-dyvhzvmm	57	18	]	]	-RRB-
cord-239632-dyvhzvmm	57	19	.	.	.
cord-239632-dyvhzvmm	58	1	It	-PRON-	PRP
cord-239632-dyvhzvmm	58	2	is	be	VBZ
cord-239632-dyvhzvmm	58	3	clear	clear	JJ
cord-239632-dyvhzvmm	58	4	from	from	IN
cord-239632-dyvhzvmm	58	5	the	the	DT
cord-239632-dyvhzvmm	58	6	diagram	diagram	NN
cord-239632-dyvhzvmm	58	7	that	that	WDT
cord-239632-dyvhzvmm	58	8	the	the	DT
cord-239632-dyvhzvmm	58	9	flow	flow	NN
cord-239632-dyvhzvmm	58	10	of	of	IN
cord-239632-dyvhzvmm	58	11	coupling	couple	VBG
cord-239632-dyvhzvmm	58	12	constant	constant	NN
cord-239632-dyvhzvmm	58	13	when	when	WRB
cord-239632-dyvhzvmm	58	14	the	the	DT
cord-239632-dyvhzvmm	58	15	scale	scale	NN
cord-239632-dyvhzvmm	58	16	changes	change	NNS
cord-239632-dyvhzvmm	58	17	goes	go	VBZ
cord-239632-dyvhzvmm	58	18	to	to	IN
cord-239632-dyvhzvmm	58	19	a	a	DT
cord-239632-dyvhzvmm	58	20	fixed	fix	VBN
cord-239632-dyvhzvmm	58	21	point	point	NN
cord-239632-dyvhzvmm	58	22	in	in	IN
cord-239632-dyvhzvmm	58	23	coupling	couple	VBG
cord-239632-dyvhzvmm	58	24	constant	constant	JJ
cord-239632-dyvhzvmm	58	25	space	space	NN
cord-239632-dyvhzvmm	58	26	where	where	WRB
cord-239632-dyvhzvmm	58	27	the	the	DT
cord-239632-dyvhzvmm	58	28	flow	flow	NN
cord-239632-dyvhzvmm	58	29	is	be	VBZ
cord-239632-dyvhzvmm	58	30	stationary	stationary	JJ
cord-239632-dyvhzvmm	58	31	and	and	CC
cord-239632-dyvhzvmm	58	32	the	the	DT
cord-239632-dyvhzvmm	58	33	beta	beta	NN
cord-239632-dyvhzvmm	58	34	functions	function	NNS
cord-239632-dyvhzvmm	58	35	or	or	CC
cord-239632-dyvhzvmm	58	36	the	the	DT
cord-239632-dyvhzvmm	58	37	right	right	JJ
cord-239632-dyvhzvmm	58	38	hand	hand	NN
cord-239632-dyvhzvmm	58	39	side	side	NN
cord-239632-dyvhzvmm	58	40	of	of	IN
cord-239632-dyvhzvmm	58	41	the	the	DT
cord-239632-dyvhzvmm	58	42	renormalization	renormalization	NN
cord-239632-dyvhzvmm	58	43	group	group	NN
cord-239632-dyvhzvmm	58	44	equations	equation	NNS
cord-239632-dyvhzvmm	58	45	vanishes	vanish	VBZ
cord-239632-dyvhzvmm	58	46	.	.	.
cord-239632-dyvhzvmm	59	1	In	in	IN
cord-239632-dyvhzvmm	59	2	figure	figure	NN
cord-239632-dyvhzvmm	59	3	 	 	_SP
cord-239632-dyvhzvmm	59	4	3	3	CD
cord-239632-dyvhzvmm	59	5	we	-PRON-	PRP
cord-239632-dyvhzvmm	59	6	show	show	VBP
cord-239632-dyvhzvmm	59	7	a	a	DT
cord-239632-dyvhzvmm	59	8	similar	similar	JJ
cord-239632-dyvhzvmm	59	9	flow	flow	NN
cord-239632-dyvhzvmm	59	10	diagram	diagram	NN
cord-239632-dyvhzvmm	59	11	for	for	IN
cord-239632-dyvhzvmm	59	12	the	the	DT
cord-239632-dyvhzvmm	59	13	SIR	SIR	NNP
cord-239632-dyvhzvmm	59	14	epidemic	epidemic	NN
cord-239632-dyvhzvmm	59	15	model	model	NN
cord-239632-dyvhzvmm	59	16	.	.	.
cord-239632-dyvhzvmm	60	1	In	in	IN
cord-239632-dyvhzvmm	60	2	this	this	DT
cord-239632-dyvhzvmm	60	3	case	case	NN
cord-239632-dyvhzvmm	60	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	60	5	also	also	RB
cord-239632-dyvhzvmm	60	6	see	see	VBP
cord-239632-dyvhzvmm	60	7	that	that	IN
cord-239632-dyvhzvmm	60	8	the	the	DT
cord-239632-dyvhzvmm	60	9	flow	flow	NN
cord-239632-dyvhzvmm	60	10	goes	go	VBZ
cord-239632-dyvhzvmm	60	11	to	to	IN
cord-239632-dyvhzvmm	60	12	a	a	DT
cord-239632-dyvhzvmm	60	13	point	point	NN
cord-239632-dyvhzvmm	60	14	where	where	WRB
cord-239632-dyvhzvmm	60	15	the	the	DT
cord-239632-dyvhzvmm	60	16	compartments	compartment	NNS
cord-239632-dyvhzvmm	60	17	I	-PRON-	PRP
cord-239632-dyvhzvmm	60	18	and	and	CC
cord-239632-dyvhzvmm	60	19	S	S	NNP
cord-239632-dyvhzvmm	60	20	become	become	VBP
cord-239632-dyvhzvmm	60	21	stationary	stationary	JJ
cord-239632-dyvhzvmm	60	22	when	when	WRB
cord-239632-dyvhzvmm	60	23	the	the	DT
cord-239632-dyvhzvmm	60	24	epidemic	epidemic	NN
cord-239632-dyvhzvmm	60	25	has	have	VBZ
cord-239632-dyvhzvmm	60	26	ended	end	VBN
cord-239632-dyvhzvmm	60	27	after	after	IN
cord-239632-dyvhzvmm	60	28	the	the	DT
cord-239632-dyvhzvmm	60	29	number	number	NN
cord-239632-dyvhzvmm	60	30	of	of	IN
cord-239632-dyvhzvmm	60	31	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	60	32	individuals	individual	NNS
cord-239632-dyvhzvmm	60	33	drops	drop	VBZ
cord-239632-dyvhzvmm	60	34	to	to	IN
cord-239632-dyvhzvmm	60	35	a	a	DT
cord-239632-dyvhzvmm	60	36	level	level	NN
cord-239632-dyvhzvmm	60	37	so	so	IN
cord-239632-dyvhzvmm	60	38	that	that	IN
cord-239632-dyvhzvmm	60	39	the	the	DT
cord-239632-dyvhzvmm	60	40	epidemic	epidemic	NN
cord-239632-dyvhzvmm	60	41	can	can	MD
cord-239632-dyvhzvmm	60	42	no	no	RB
cord-239632-dyvhzvmm	60	43	longer	longer	RB
cord-239632-dyvhzvmm	60	44	be	be	VB
cord-239632-dyvhzvmm	60	45	sustained	sustain	VBN
cord-239632-dyvhzvmm	60	46	.	.	.
cord-239632-dyvhzvmm	61	1	It	-PRON-	PRP
cord-239632-dyvhzvmm	61	2	will	will	MD
cord-239632-dyvhzvmm	61	3	also	also	RB
cord-239632-dyvhzvmm	61	4	be	be	VB
cord-239632-dyvhzvmm	61	5	important	important	JJ
cord-239632-dyvhzvmm	61	6	to	to	TO
cord-239632-dyvhzvmm	61	7	study	study	VB
cord-239632-dyvhzvmm	61	8	flow	flow	NN
cord-239632-dyvhzvmm	61	9	visualizations	visualization	NNS
cord-239632-dyvhzvmm	61	10	over	over	IN
cord-239632-dyvhzvmm	61	11	longer	long	JJR
cord-239632-dyvhzvmm	61	12	time	time	NN
cord-239632-dyvhzvmm	61	13	scales	scale	NNS
cord-239632-dyvhzvmm	61	14	where	where	WRB
cord-239632-dyvhzvmm	61	15	the	the	DT
cord-239632-dyvhzvmm	61	16	virus	virus	NN
cord-239632-dyvhzvmm	61	17	can	can	MD
cord-239632-dyvhzvmm	61	18	be	be	VB
cord-239632-dyvhzvmm	61	19	come	come	VBN
cord-239632-dyvhzvmm	61	20	endemic	endemic	JJ
cord-239632-dyvhzvmm	61	21	and	and	CC
cord-239632-dyvhzvmm	61	22	then	then	RB
cord-239632-dyvhzvmm	61	23	recur	recur	VB
cord-239632-dyvhzvmm	61	24	at	at	IN
cord-239632-dyvhzvmm	61	25	a	a	DT
cord-239632-dyvhzvmm	61	26	later	later	JJ
cord-239632-dyvhzvmm	61	27	date	date	NN
cord-239632-dyvhzvmm	61	28	.	.	.
cord-239632-dyvhzvmm	62	1	The	the	DT
cord-239632-dyvhzvmm	62	2	contact	contact	NN
cord-239632-dyvhzvmm	62	3	matrix	matrix	NN
cord-239632-dyvhzvmm	62	4	is	be	VBZ
cord-239632-dyvhzvmm	62	5	a	a	DT
cord-239632-dyvhzvmm	62	6	symmetric	symmetric	JJ
cord-239632-dyvhzvmm	62	7	matrix	matrix	NN
cord-239632-dyvhzvmm	62	8	that	that	WDT
cord-239632-dyvhzvmm	62	9	indicates	indicate	VBZ
cord-239632-dyvhzvmm	62	10	the	the	DT
cord-239632-dyvhzvmm	62	11	number	number	NN
cord-239632-dyvhzvmm	62	12	of	of	IN
cord-239632-dyvhzvmm	62	13	contacts	contact	NNS
cord-239632-dyvhzvmm	62	14	between	between	IN
cord-239632-dyvhzvmm	62	15	different	different	JJ
cord-239632-dyvhzvmm	62	16	groups	group	NNS
cord-239632-dyvhzvmm	62	17	.	.	.
cord-239632-dyvhzvmm	63	1	If	if	IN
cord-239632-dyvhzvmm	63	2	the	the	DT
cord-239632-dyvhzvmm	63	3	matrix	matrix	NN
cord-239632-dyvhzvmm	63	4	is	be	VBZ
cord-239632-dyvhzvmm	63	5	diagonal	diagonal	JJ
cord-239632-dyvhzvmm	63	6	then	then	RB
cord-239632-dyvhzvmm	63	7	the	the	DT
cord-239632-dyvhzvmm	63	8	different	different	JJ
cord-239632-dyvhzvmm	63	9	groups	group	NNS
cord-239632-dyvhzvmm	63	10	do	do	VBP
cord-239632-dyvhzvmm	63	11	not	not	RB
cord-239632-dyvhzvmm	63	12	mix	mix	VB
cord-239632-dyvhzvmm	63	13	.	.	.
cord-239632-dyvhzvmm	64	1	For	for	IN
cord-239632-dyvhzvmm	64	2	example	example	NN
cord-239632-dyvhzvmm	64	3	if	if	IN
cord-239632-dyvhzvmm	64	4	two	two	CD
cord-239632-dyvhzvmm	64	5	countries	country	NNS
cord-239632-dyvhzvmm	64	6	are	be	VBP
cord-239632-dyvhzvmm	64	7	island	island	NN
cord-239632-dyvhzvmm	64	8	countries	country	NNS
cord-239632-dyvhzvmm	64	9	and	and	CC
cord-239632-dyvhzvmm	64	10	have	have	VBP
cord-239632-dyvhzvmm	64	11	no	no	DT
cord-239632-dyvhzvmm	64	12	boat	boat	NN
cord-239632-dyvhzvmm	64	13	or	or	CC
cord-239632-dyvhzvmm	64	14	air	air	NN
cord-239632-dyvhzvmm	64	15	travel	travel	NN
cord-239632-dyvhzvmm	64	16	between	between	IN
cord-239632-dyvhzvmm	64	17	them	-PRON-	PRP
cord-239632-dyvhzvmm	64	18	then	then	RB
cord-239632-dyvhzvmm	64	19	contact	contact	NN
cord-239632-dyvhzvmm	64	20	matrix	matrix	NN
cord-239632-dyvhzvmm	64	21	will	will	MD
cord-239632-dyvhzvmm	64	22	be	be	VB
cord-239632-dyvhzvmm	64	23	diagonal	diagonal	JJ
cord-239632-dyvhzvmm	64	24	.	.	.
cord-239632-dyvhzvmm	65	1	For	for	IN
cord-239632-dyvhzvmm	65	2	the	the	DT
cord-239632-dyvhzvmm	65	3	renormalization	renormalization	NN
cord-239632-dyvhzvmm	65	4	group	group	NN
cord-239632-dyvhzvmm	65	5	one	one	CD
cord-239632-dyvhzvmm	65	6	has	have	VBZ
cord-239632-dyvhzvmm	65	7	an	an	DT
cord-239632-dyvhzvmm	65	8	analogous	analogous	JJ
cord-239632-dyvhzvmm	65	9	concept	concept	NN
cord-239632-dyvhzvmm	65	10	of	of	IN
cord-239632-dyvhzvmm	65	11	operator	operator	NN
cord-239632-dyvhzvmm	65	12	mixing	mixing	NN
cord-239632-dyvhzvmm	65	13	.	.	.
cord-239632-dyvhzvmm	66	1	This	this	DT
cord-239632-dyvhzvmm	66	2	occurs	occur	VBZ
cord-239632-dyvhzvmm	66	3	because	because	IN
cord-239632-dyvhzvmm	66	4	loop	loop	NN
cord-239632-dyvhzvmm	66	5	graphs	graph	NNS
cord-239632-dyvhzvmm	66	6	induce	induce	VBP
cord-239632-dyvhzvmm	66	7	new	new	JJ
cord-239632-dyvhzvmm	66	8	operators	operator	NNS
cord-239632-dyvhzvmm	66	9	that	that	WDT
cord-239632-dyvhzvmm	66	10	were	be	VBD
cord-239632-dyvhzvmm	66	11	not	not	RB
cord-239632-dyvhzvmm	66	12	present	present	JJ
cord-239632-dyvhzvmm	66	13	in	in	RB
cord-239632-dyvhzvmm	66	14	in	in	IN
cord-239632-dyvhzvmm	66	15	initial	initial	JJ
cord-239632-dyvhzvmm	66	16	renormalization	renormalization	NN
cord-239632-dyvhzvmm	66	17	group	group	NN
cord-239632-dyvhzvmm	66	18	evolution	evolution	NN
cord-239632-dyvhzvmm	66	19	.	.	.
cord-239632-dyvhzvmm	67	1	The	the	DT
cord-239632-dyvhzvmm	67	2	matrix	matrix	NN
cord-239632-dyvhzvmm	67	3	of	of	IN
cord-239632-dyvhzvmm	67	4	coefficients	coefficient	NNS
cord-239632-dyvhzvmm	67	5	that	that	WDT
cord-239632-dyvhzvmm	67	6	describe	describe	VBP
cord-239632-dyvhzvmm	67	7	this	this	DT
cord-239632-dyvhzvmm	67	8	operator	operator	NN
cord-239632-dyvhzvmm	67	9	mixing	mix	VBG
cord-239632-dyvhzvmm	67	10	is	be	VBZ
cord-239632-dyvhzvmm	67	11	the	the	DT
cord-239632-dyvhzvmm	67	12	anomalous	anomalous	JJ
cord-239632-dyvhzvmm	67	13	dimension	dimension	NN
cord-239632-dyvhzvmm	67	14	matrix	matrix	NN
cord-239632-dyvhzvmm	67	15	and	and	CC
cord-239632-dyvhzvmm	67	16	is	be	VBZ
cord-239632-dyvhzvmm	67	17	analogous	analogous	JJ
cord-239632-dyvhzvmm	67	18	to	to	IN
cord-239632-dyvhzvmm	67	19	the	the	DT
cord-239632-dyvhzvmm	67	20	contact	contact	NN
cord-239632-dyvhzvmm	67	21	matrix	matrix	NN
cord-239632-dyvhzvmm	67	22	.	.	.
cord-239632-dyvhzvmm	68	1	For	for	IN
cord-239632-dyvhzvmm	68	2	the	the	DT
cord-239632-dyvhzvmm	68	3	renormalization	renormalization	NN
cord-239632-dyvhzvmm	68	4	group	group	NN
cord-239632-dyvhzvmm	68	5	equation	equation	NN
cord-239632-dyvhzvmm	68	6	the	the	DT
cord-239632-dyvhzvmm	68	7	effect	effect	NN
cord-239632-dyvhzvmm	68	8	of	of	IN
cord-239632-dyvhzvmm	68	9	operator	operator	NN
cord-239632-dyvhzvmm	68	10	mixing	mixing	NN
cord-239632-dyvhzvmm	68	11	is	be	VBZ
cord-239632-dyvhzvmm	68	12	described	describe	VBN
cord-239632-dyvhzvmm	68	13	by	by	IN
cord-239632-dyvhzvmm	68	14	the	the	DT
cord-239632-dyvhzvmm	68	15	anomalous	anomalous	JJ
cord-239632-dyvhzvmm	68	16	dimension	dimension	NN
cord-239632-dyvhzvmm	68	17	matrix	matrix	NN
cord-239632-dyvhzvmm	68	18	γ	γ	NN
cord-239632-dyvhzvmm	68	19	i	i	NNP
cord-239632-dyvhzvmm	68	20	,	,	,
cord-239632-dyvhzvmm	68	21	j	j	NNP
cord-239632-dyvhzvmm	68	22	through	through	IN
cord-239632-dyvhzvmm	68	23	the	the	DT
cord-239632-dyvhzvmm	68	24	equation	equation	NN
cord-239632-dyvhzvmm	68	25	:	:	:
cord-239632-dyvhzvmm	68	26	where	where	WRB
cord-239632-dyvhzvmm	68	27	C	C	NNP
cord-239632-dyvhzvmm	68	28	i	i	PRP
cord-239632-dyvhzvmm	68	29	is	be	VBZ
cord-239632-dyvhzvmm	68	30	the	the	DT
cord-239632-dyvhzvmm	68	31	coefficient	coefficient	NN
cord-239632-dyvhzvmm	68	32	of	of	IN
cord-239632-dyvhzvmm	68	33	an	an	DT
cord-239632-dyvhzvmm	68	34	operator	operator	NN
cord-239632-dyvhzvmm	68	35	O	o	UH
cord-239632-dyvhzvmm	68	36	i	i	NN
cord-239632-dyvhzvmm	68	37	.	.	.
cord-239632-dyvhzvmm	69	1	These	these	DT
cord-239632-dyvhzvmm	69	2	matrices	matrix	NNS
cord-239632-dyvhzvmm	69	3	have	have	VBP
cord-239632-dyvhzvmm	69	4	an	an	DT
cord-239632-dyvhzvmm	69	5	important	important	JJ
cord-239632-dyvhzvmm	69	6	physical	physical	JJ
cord-239632-dyvhzvmm	69	7	effect	effect	NN
cord-239632-dyvhzvmm	69	8	as	as	IN
cord-239632-dyvhzvmm	69	9	operators	operator	NNS
cord-239632-dyvhzvmm	69	10	which	which	WDT
cord-239632-dyvhzvmm	69	11	have	have	VBP
cord-239632-dyvhzvmm	69	12	vanishing	vanish	VBG
cord-239632-dyvhzvmm	69	13	coefficient	coefficient	NN
cord-239632-dyvhzvmm	69	14	at	at	IN
cord-239632-dyvhzvmm	69	15	one	one	CD
cord-239632-dyvhzvmm	69	16	scale	scale	NN
cord-239632-dyvhzvmm	69	17	but	but	CC
cord-239632-dyvhzvmm	69	18	which	which	WDT
cord-239632-dyvhzvmm	69	19	develop	develop	VBP
cord-239632-dyvhzvmm	69	20	a	a	DT
cord-239632-dyvhzvmm	69	21	nonzero	nonzero	JJ
cord-239632-dyvhzvmm	69	22	value	value	NN
cord-239632-dyvhzvmm	69	23	at	at	IN
cord-239632-dyvhzvmm	69	24	a	a	DT
cord-239632-dyvhzvmm	69	25	different	different	JJ
cord-239632-dyvhzvmm	69	26	scale	scale	NN
cord-239632-dyvhzvmm	69	27	through	through	IN
cord-239632-dyvhzvmm	69	28	the	the	DT
cord-239632-dyvhzvmm	69	29	mixing	mixing	NN
cord-239632-dyvhzvmm	69	30	with	with	IN
cord-239632-dyvhzvmm	69	31	other	other	JJ
cord-239632-dyvhzvmm	69	32	operators	operator	NNS
cord-239632-dyvhzvmm	69	33	in	in	IN
cord-239632-dyvhzvmm	69	34	the	the	DT
cord-239632-dyvhzvmm	69	35	theory	theory	NN
cord-239632-dyvhzvmm	69	36	.	.	.
cord-239632-dyvhzvmm	70	1	For	for	IN
cord-239632-dyvhzvmm	70	2	the	the	DT
cord-239632-dyvhzvmm	70	3	SIR	SIR	NNP
cord-239632-dyvhzvmm	70	4	model	model	VB
cord-239632-dyvhzvmm	70	5	the	the	DT
cord-239632-dyvhzvmm	70	6	contact	contact	NN
cord-239632-dyvhzvmm	70	7	matrix	matrix	NN
cord-239632-dyvhzvmm	70	8	plays	play	VBZ
cord-239632-dyvhzvmm	70	9	a	a	DT
cord-239632-dyvhzvmm	70	10	similar	similar	JJ
cord-239632-dyvhzvmm	70	11	role	role	NN
cord-239632-dyvhzvmm	70	12	.	.	.
cord-239632-dyvhzvmm	71	1	In	in	IN
cord-239632-dyvhzvmm	71	2	this	this	DT
cord-239632-dyvhzvmm	71	3	case	case	NN
cord-239632-dyvhzvmm	71	4	a	a	DT
cord-239632-dyvhzvmm	71	5	subset	subset	JJ
cord-239632-dyvhzvmm	71	6	population	population	NN
cord-239632-dyvhzvmm	71	7	may	may	MD
cord-239632-dyvhzvmm	71	8	have	have	VB
cord-239632-dyvhzvmm	71	9	a	a	DT
cord-239632-dyvhzvmm	71	10	vanishing	vanish	VBG
cord-239632-dyvhzvmm	71	11	number	number	NN
cord-239632-dyvhzvmm	71	12	of	of	IN
cord-239632-dyvhzvmm	71	13	infections	infection	NNS
cord-239632-dyvhzvmm	71	14	at	at	IN
cord-239632-dyvhzvmm	71	15	one	one	CD
cord-239632-dyvhzvmm	71	16	time	time	NN
cord-239632-dyvhzvmm	71	17	but	but	CC
cord-239632-dyvhzvmm	71	18	develop	develop	VB
cord-239632-dyvhzvmm	71	19	infections	infection	NNS
cord-239632-dyvhzvmm	71	20	through	through	IN
cord-239632-dyvhzvmm	71	21	the	the	DT
cord-239632-dyvhzvmm	71	22	contact	contact	NN
cord-239632-dyvhzvmm	71	23	with	with	IN
cord-239632-dyvhzvmm	71	24	another	another	DT
cord-239632-dyvhzvmm	71	25	segment	segment	NN
cord-239632-dyvhzvmm	71	26	of	of	IN
cord-239632-dyvhzvmm	71	27	the	the	DT
cord-239632-dyvhzvmm	71	28	population	population	NN
cord-239632-dyvhzvmm	71	29	at	at	IN
cord-239632-dyvhzvmm	71	30	a	a	DT
cord-239632-dyvhzvmm	71	31	later	later	JJ
cord-239632-dyvhzvmm	71	32	time	time	NN
cord-239632-dyvhzvmm	71	33	.	.	.
cord-239632-dyvhzvmm	72	1	This	this	DT
cord-239632-dyvhzvmm	72	2	contact	contact	NN
cord-239632-dyvhzvmm	72	3	matrix	matrix	NN
cord-239632-dyvhzvmm	72	4	is	be	VBZ
cord-239632-dyvhzvmm	72	5	proportional	proportional	JJ
cord-239632-dyvhzvmm	72	6	to	to	IN
cord-239632-dyvhzvmm	72	7	the	the	DT
cord-239632-dyvhzvmm	72	8	number	number	NN
cord-239632-dyvhzvmm	72	9	of	of	IN
cord-239632-dyvhzvmm	72	10	contacts	contact	NNS
cord-239632-dyvhzvmm	72	11	between	between	IN
cord-239632-dyvhzvmm	72	12	the	the	DT
cord-239632-dyvhzvmm	72	13	different	different	JJ
cord-239632-dyvhzvmm	72	14	populations	population	NNS
cord-239632-dyvhzvmm	72	15	and	and	CC
cord-239632-dyvhzvmm	72	16	is	be	VBZ
cord-239632-dyvhzvmm	72	17	represented	represent	VBN
cord-239632-dyvhzvmm	72	18	in	in	IN
cord-239632-dyvhzvmm	72	19	the	the	DT
cord-239632-dyvhzvmm	72	20	differential	differential	JJ
cord-239632-dyvhzvmm	72	21	equations	equation	NNS
cord-239632-dyvhzvmm	72	22	of	of	IN
cord-239632-dyvhzvmm	72	23	the	the	DT
cord-239632-dyvhzvmm	72	24	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	72	25	model	model	NN
cord-239632-dyvhzvmm	72	26	in	in	IN
cord-239632-dyvhzvmm	72	27	a	a	DT
cord-239632-dyvhzvmm	72	28	similar	similar	JJ
cord-239632-dyvhzvmm	72	29	manner	manner	NN
cord-239632-dyvhzvmm	72	30	to	to	IN
cord-239632-dyvhzvmm	72	31	the	the	DT
cord-239632-dyvhzvmm	72	32	anomalous	anomalous	JJ
cord-239632-dyvhzvmm	72	33	dimension	dimension	NN
cord-239632-dyvhzvmm	72	34	matrix	matrix	NN
cord-239632-dyvhzvmm	72	35	in	in	IN
cord-239632-dyvhzvmm	72	36	the	the	DT
cord-239632-dyvhzvmm	72	37	Renormalization	Renormalization	NNP
cord-239632-dyvhzvmm	72	38	Group	Group	NNP
cord-239632-dyvhzvmm	72	39	Equations	Equations	NNPS
cord-239632-dyvhzvmm	72	40	.	.	.
cord-239632-dyvhzvmm	73	1	For	for	IN
cord-239632-dyvhzvmm	73	2	the	the	DT
cord-239632-dyvhzvmm	73	3	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	73	4	model	model	VB
cord-239632-dyvhzvmm	73	5	the	the	DT
cord-239632-dyvhzvmm	73	6	effect	effect	NN
cord-239632-dyvhzvmm	73	7	contact	contact	NN
cord-239632-dyvhzvmm	73	8	matrix	matrix	NN
cord-239632-dyvhzvmm	73	9	c	c	NNP
cord-239632-dyvhzvmm	73	10	ij	ij	NNP
cord-239632-dyvhzvmm	73	11	is	be	VBZ
cord-239632-dyvhzvmm	73	12	given	give	VBN
cord-239632-dyvhzvmm	73	13	by	by	IN
cord-239632-dyvhzvmm	73	14	[	[	-LRB-
cord-239632-dyvhzvmm	73	15	13	13	CD
cord-239632-dyvhzvmm	73	16	]	]	-RRB-
cord-239632-dyvhzvmm	73	17	:	:	:
cord-239632-dyvhzvmm	74	1	In	in	IN
cord-239632-dyvhzvmm	74	2	these	these	DT
cord-239632-dyvhzvmm	74	3	equations	equation	NNS
cord-239632-dyvhzvmm	74	4	β	β	NNP
cord-239632-dyvhzvmm	74	5	i	i	PRP
cord-239632-dyvhzvmm	74	6	is	be	VBZ
cord-239632-dyvhzvmm	74	7	the	the	DT
cord-239632-dyvhzvmm	74	8	contact	contact	NN
cord-239632-dyvhzvmm	74	9	coefficient	coefficient	NN
cord-239632-dyvhzvmm	74	10	between	between	IN
cord-239632-dyvhzvmm	74	11	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	74	12	and	and	CC
cord-239632-dyvhzvmm	74	13	infected	infected	JJ
cord-239632-dyvhzvmm	74	14	individuals	individual	NNS
cord-239632-dyvhzvmm	74	15	in	in	IN
cord-239632-dyvhzvmm	74	16	group	group	NN
cord-239632-dyvhzvmm	74	17	i	i	NNP
cord-239632-dyvhzvmm	74	18	,	,	,
cord-239632-dyvhzvmm	74	19	γ	γ	NNP
cord-239632-dyvhzvmm	75	1	i	i	PRP
cord-239632-dyvhzvmm	75	2	is	be	VBZ
cord-239632-dyvhzvmm	75	3	the	the	DT
cord-239632-dyvhzvmm	75	4	infection	infection	NN
cord-239632-dyvhzvmm	75	5	rate	rate	NN
cord-239632-dyvhzvmm	75	6	in	in	IN
cord-239632-dyvhzvmm	75	7	group	group	NN
cord-239632-dyvhzvmm	75	8	i	i	NN
cord-239632-dyvhzvmm	75	9	and	and	CC
cord-239632-dyvhzvmm	75	10	µ	µ	NN
cord-239632-dyvhzvmm	76	1	i	i	PRP
cord-239632-dyvhzvmm	76	2	is	be	VBZ
cord-239632-dyvhzvmm	76	3	the	the	DT
cord-239632-dyvhzvmm	76	4	death	death	NN
cord-239632-dyvhzvmm	76	5	rate	rate	NN
cord-239632-dyvhzvmm	76	6	in	in	IN
cord-239632-dyvhzvmm	76	7	group	group	NN
cord-239632-dyvhzvmm	76	8	i	i	NNP
cord-239632-dyvhzvmm	76	9	and	and	CC
cord-239632-dyvhzvmm	76	10	c	c	NNP
cord-239632-dyvhzvmm	76	11	ij	ij	NNP
cord-239632-dyvhzvmm	77	1	is	be	VBZ
cord-239632-dyvhzvmm	77	2	the	the	DT
cord-239632-dyvhzvmm	77	3	contact	contact	NN
cord-239632-dyvhzvmm	77	4	matrix	matrix	NN
cord-239632-dyvhzvmm	77	5	between	between	IN
cord-239632-dyvhzvmm	77	6	different	different	JJ
cord-239632-dyvhzvmm	77	7	groups	group	NNS
cord-239632-dyvhzvmm	77	8	.	.	.
cord-239632-dyvhzvmm	78	1	In	in	IN
cord-239632-dyvhzvmm	78	2	the	the	DT
cord-239632-dyvhzvmm	78	3	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	78	4	model	model	NN
cord-239632-dyvhzvmm	78	5	S	S	NNP
cord-239632-dyvhzvmm	78	6	i	i	PRP
cord-239632-dyvhzvmm	78	7	is	be	VBZ
cord-239632-dyvhzvmm	78	8	the	the	DT
cord-239632-dyvhzvmm	78	9	number	number	NN
cord-239632-dyvhzvmm	78	10	of	of	IN
cord-239632-dyvhzvmm	78	11	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	78	12	individuals	individual	NNS
cord-239632-dyvhzvmm	78	13	in	in	IN
cord-239632-dyvhzvmm	78	14	group	group	NN
cord-239632-dyvhzvmm	78	15	i	i	CD
cord-239632-dyvhzvmm	79	1	,	,	,
cord-239632-dyvhzvmm	79	2	I	-PRON-	PRP
cord-239632-dyvhzvmm	79	3	i	i	PRP
cord-239632-dyvhzvmm	79	4	is	be	VBZ
cord-239632-dyvhzvmm	79	5	the	the	DT
cord-239632-dyvhzvmm	79	6	number	number	NN
cord-239632-dyvhzvmm	79	7	of	of	IN
cord-239632-dyvhzvmm	79	8	infected	infected	JJ
cord-239632-dyvhzvmm	79	9	individulas	individulas	NN
cord-239632-dyvhzvmm	79	10	in	in	IN
cord-239632-dyvhzvmm	79	11	group	group	NN
cord-239632-dyvhzvmm	79	12	i	i	CD
cord-239632-dyvhzvmm	80	1	,	,	,
cord-239632-dyvhzvmm	80	2	R	r	NN
cord-239632-dyvhzvmm	80	3	i	i	PRP
cord-239632-dyvhzvmm	80	4	is	be	VBZ
cord-239632-dyvhzvmm	80	5	the	the	DT
cord-239632-dyvhzvmm	80	6	number	number	NN
cord-239632-dyvhzvmm	80	7	of	of	IN
cord-239632-dyvhzvmm	80	8	recovered	recover	VBN
cord-239632-dyvhzvmm	80	9	individuals	individual	NNS
cord-239632-dyvhzvmm	80	10	in	in	IN
cord-239632-dyvhzvmm	80	11	group	group	NN
cord-239632-dyvhzvmm	80	12	i	i	NNP
cord-239632-dyvhzvmm	80	13	and	and	CC
cord-239632-dyvhzvmm	80	14	D	D	NNP
cord-239632-dyvhzvmm	81	1	i	i	PRP
cord-239632-dyvhzvmm	81	2	is	be	VBZ
cord-239632-dyvhzvmm	81	3	the	the	DT
cord-239632-dyvhzvmm	81	4	number	number	NN
cord-239632-dyvhzvmm	81	5	of	of	IN
cord-239632-dyvhzvmm	81	6	individuals	individual	NNS
cord-239632-dyvhzvmm	81	7	who	who	WP
cord-239632-dyvhzvmm	81	8	died	die	VBD
cord-239632-dyvhzvmm	81	9	in	in	IN
cord-239632-dyvhzvmm	81	10	group	group	NN
cord-239632-dyvhzvmm	81	11	i.	i.	NN
cord-239632-dyvhzvmm	82	1	The	the	DT
cord-239632-dyvhzvmm	82	2	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	82	3	model	model	NN
cord-239632-dyvhzvmm	82	4	has	have	VBZ
cord-239632-dyvhzvmm	82	5	been	be	VBN
cord-239632-dyvhzvmm	82	6	applied	apply	VBN
cord-239632-dyvhzvmm	82	7	to	to	IN
cord-239632-dyvhzvmm	82	8	pandemics	pandemic	NNS
cord-239632-dyvhzvmm	82	9	including	include	VBG
cord-239632-dyvhzvmm	82	10	the	the	DT
cord-239632-dyvhzvmm	82	11	ongoing	ongoing	JJ
cord-239632-dyvhzvmm	82	12	COVID-19	covid-19	JJ
cord-239632-dyvhzvmm	82	13	pandemic	pandemic	NN
cord-239632-dyvhzvmm	82	14	in	in	IN
cord-239632-dyvhzvmm	82	15	[	[	-LRB-
cord-239632-dyvhzvmm	82	16	14	14	CD
cord-239632-dyvhzvmm	82	17	]	]	-RRB-
cord-239632-dyvhzvmm	82	18	[	[	-LRB-
cord-239632-dyvhzvmm	82	19	15	15	CD
cord-239632-dyvhzvmm	82	20	]	]	-RRB-
cord-239632-dyvhzvmm	82	21	[	[	-LRB-
cord-239632-dyvhzvmm	82	22	16	16	CD
cord-239632-dyvhzvmm	82	23	]	]	-RRB-
cord-239632-dyvhzvmm	82	24	.	.	.
cord-239632-dyvhzvmm	83	1	We	-PRON-	PRP
cord-239632-dyvhzvmm	83	2	will	will	MD
cord-239632-dyvhzvmm	83	3	give	give	VB
cord-239632-dyvhzvmm	83	4	two	two	CD
cord-239632-dyvhzvmm	83	5	examples	example	NNS
cord-239632-dyvhzvmm	83	6	of	of	IN
cord-239632-dyvhzvmm	83	7	the	the	DT
cord-239632-dyvhzvmm	83	8	use	use	NN
cord-239632-dyvhzvmm	83	9	of	of	IN
cord-239632-dyvhzvmm	83	10	the	the	DT
cord-239632-dyvhzvmm	83	11	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	83	12	model	model	NN
cord-239632-dyvhzvmm	83	13	in	in	IN
cord-239632-dyvhzvmm	83	14	grouping	grouping	NN
cord-239632-dyvhzvmm	83	15	by	by	IN
cord-239632-dyvhzvmm	83	16	age	age	NN
cord-239632-dyvhzvmm	83	17	and	and	CC
cord-239632-dyvhzvmm	83	18	also	also	RB
cord-239632-dyvhzvmm	83	19	by	by	IN
cord-239632-dyvhzvmm	83	20	country	country	NN
cord-239632-dyvhzvmm	83	21	in	in	IN
cord-239632-dyvhzvmm	83	22	the	the	DT
cord-239632-dyvhzvmm	83	23	next	next	JJ
cord-239632-dyvhzvmm	83	24	two	two	CD
cord-239632-dyvhzvmm	83	25	sections	section	NNS
cord-239632-dyvhzvmm	83	26	.	.	.
cord-239632-dyvhzvmm	84	1	The	the	DT
cord-239632-dyvhzvmm	84	2	contact	contact	NN
cord-239632-dyvhzvmm	84	3	matrix	matrix	NN
cord-239632-dyvhzvmm	84	4	between	between	IN
cord-239632-dyvhzvmm	84	5	different	different	JJ
cord-239632-dyvhzvmm	84	6	age	age	NN
cord-239632-dyvhzvmm	84	7	groups	group	NNS
cord-239632-dyvhzvmm	84	8	can	can	MD
cord-239632-dyvhzvmm	84	9	be	be	VB
cord-239632-dyvhzvmm	84	10	important	important	JJ
cord-239632-dyvhzvmm	84	11	especially	especially	RB
cord-239632-dyvhzvmm	84	12	if	if	IN
cord-239632-dyvhzvmm	84	13	one	one	CD
cord-239632-dyvhzvmm	84	14	age	age	NN
cord-239632-dyvhzvmm	84	15	group	group	NN
cord-239632-dyvhzvmm	84	16	is	be	VBZ
cord-239632-dyvhzvmm	84	17	more	more	RBR
cord-239632-dyvhzvmm	84	18	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	84	19	or	or	CC
cord-239632-dyvhzvmm	84	20	has	have	VBZ
cord-239632-dyvhzvmm	84	21	a	a	DT
cord-239632-dyvhzvmm	84	22	higher	high	JJR
cord-239632-dyvhzvmm	84	23	mortality	mortality	NN
cord-239632-dyvhzvmm	84	24	rate	rate	NN
cord-239632-dyvhzvmm	84	25	than	than	IN
cord-239632-dyvhzvmm	84	26	the	the	DT
cord-239632-dyvhzvmm	84	27	other	other	JJ
cord-239632-dyvhzvmm	84	28	.	.	.
cord-239632-dyvhzvmm	85	1	For	for	IN
cord-239632-dyvhzvmm	85	2	example	example	NN
cord-239632-dyvhzvmm	85	3	the	the	DT
cord-239632-dyvhzvmm	85	4	older	old	JJR
cord-239632-dyvhzvmm	85	5	population	population	NN
cord-239632-dyvhzvmm	85	6	may	may	MD
cord-239632-dyvhzvmm	85	7	be	be	VB
cord-239632-dyvhzvmm	85	8	more	more	RBR
cord-239632-dyvhzvmm	85	9	inclined	inclined	JJ
cord-239632-dyvhzvmm	85	10	to	to	IN
cord-239632-dyvhzvmm	85	11	severe	severe	JJ
cord-239632-dyvhzvmm	85	12	outcomes	outcome	NNS
cord-239632-dyvhzvmm	85	13	if	if	IN
cord-239632-dyvhzvmm	85	14	they	-PRON-	PRP
cord-239632-dyvhzvmm	85	15	have	have	VBP
cord-239632-dyvhzvmm	85	16	weakened	weaken	VBN
cord-239632-dyvhzvmm	85	17	immune	immune	JJ
cord-239632-dyvhzvmm	85	18	systems	system	NNS
cord-239632-dyvhzvmm	85	19	or	or	CC
cord-239632-dyvhzvmm	85	20	secondary	secondary	JJ
cord-239632-dyvhzvmm	85	21	health	health	NN
cord-239632-dyvhzvmm	85	22	conditions	condition	NNS
cord-239632-dyvhzvmm	85	23	.	.	.
cord-239632-dyvhzvmm	86	1	The	the	DT
cord-239632-dyvhzvmm	86	2	other	other	JJ
cord-239632-dyvhzvmm	86	3	way	way	NN
cord-239632-dyvhzvmm	86	4	around	around	RB
cord-239632-dyvhzvmm	86	5	is	be	VBZ
cord-239632-dyvhzvmm	86	6	possible	possible	JJ
cord-239632-dyvhzvmm	86	7	too	too	RB
cord-239632-dyvhzvmm	86	8	.	.	.
cord-239632-dyvhzvmm	87	1	Older	old	JJR
cord-239632-dyvhzvmm	87	2	segments	segment	NNS
cord-239632-dyvhzvmm	87	3	of	of	IN
cord-239632-dyvhzvmm	87	4	the	the	DT
cord-239632-dyvhzvmm	87	5	population	population	NN
cord-239632-dyvhzvmm	87	6	may	may	MD
cord-239632-dyvhzvmm	87	7	have	have	VB
cord-239632-dyvhzvmm	87	8	been	be	VBN
cord-239632-dyvhzvmm	87	9	exposed	expose	VBN
cord-239632-dyvhzvmm	87	10	earlier	early	RBR
cord-239632-dyvhzvmm	87	11	in	in	IN
cord-239632-dyvhzvmm	87	12	life	life	NN
cord-239632-dyvhzvmm	87	13	to	to	IN
cord-239632-dyvhzvmm	87	14	a	a	DT
cord-239632-dyvhzvmm	87	15	similar	similar	JJ
cord-239632-dyvhzvmm	87	16	pathogen	pathogen	NN
cord-239632-dyvhzvmm	87	17	and	and	CC
cord-239632-dyvhzvmm	87	18	still	still	RB
cord-239632-dyvhzvmm	87	19	retain	retain	VB
cord-239632-dyvhzvmm	87	20	some	some	DT
cord-239632-dyvhzvmm	87	21	immunity	immunity	NN
cord-239632-dyvhzvmm	87	22	while	while	IN
cord-239632-dyvhzvmm	87	23	the	the	DT
cord-239632-dyvhzvmm	87	24	younger	young	JJR
cord-239632-dyvhzvmm	87	25	population	population	NN
cord-239632-dyvhzvmm	87	26	would	would	MD
cord-239632-dyvhzvmm	87	27	not	not	RB
cord-239632-dyvhzvmm	87	28	been	be	VBN
cord-239632-dyvhzvmm	87	29	alive	alive	JJ
cord-239632-dyvhzvmm	87	30	during	during	IN
cord-239632-dyvhzvmm	87	31	this	this	DT
cord-239632-dyvhzvmm	87	32	time	time	NN
cord-239632-dyvhzvmm	87	33	and	and	CC
cord-239632-dyvhzvmm	87	34	would	would	MD
cord-239632-dyvhzvmm	87	35	be	be	VB
cord-239632-dyvhzvmm	87	36	completely	completely	RB
cord-239632-dyvhzvmm	87	37	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	87	38	.	.	.
cord-239632-dyvhzvmm	88	1	Still	still	RB
cord-239632-dyvhzvmm	88	2	another	another	DT
cord-239632-dyvhzvmm	88	3	scenario	scenario	NN
cord-239632-dyvhzvmm	88	4	is	be	VBZ
cord-239632-dyvhzvmm	88	5	that	that	IN
cord-239632-dyvhzvmm	88	6	the	the	DT
cord-239632-dyvhzvmm	88	7	younger	young	JJR
cord-239632-dyvhzvmm	88	8	population	population	NN
cord-239632-dyvhzvmm	88	9	was	be	VBD
cord-239632-dyvhzvmm	88	10	vaccinated	vaccinate	VBN
cord-239632-dyvhzvmm	88	11	against	against	IN
cord-239632-dyvhzvmm	88	12	a	a	DT
cord-239632-dyvhzvmm	88	13	similar	similar	JJ
cord-239632-dyvhzvmm	88	14	pathogen	pathogen	NN
cord-239632-dyvhzvmm	88	15	as	as	IN
cord-239632-dyvhzvmm	88	16	part	part	NN
cord-239632-dyvhzvmm	88	17	of	of	IN
cord-239632-dyvhzvmm	88	18	routine	routine	JJ
cord-239632-dyvhzvmm	88	19	child	child	NN
cord-239632-dyvhzvmm	88	20	immunizations	immunization	NNS
cord-239632-dyvhzvmm	88	21	where	where	WRB
cord-239632-dyvhzvmm	88	22	s	s	VBZ
cord-239632-dyvhzvmm	88	23	the	the	DT
cord-239632-dyvhzvmm	88	24	older	old	JJR
cord-239632-dyvhzvmm	88	25	population	population	NN
cord-239632-dyvhzvmm	88	26	either	either	CC
cord-239632-dyvhzvmm	88	27	never	never	RB
cord-239632-dyvhzvmm	88	28	received	receive	VBD
cord-239632-dyvhzvmm	88	29	them	-PRON-	PRP
cord-239632-dyvhzvmm	88	30	or	or	CC
cord-239632-dyvhzvmm	88	31	the	the	DT
cord-239632-dyvhzvmm	88	32	effect	effect	NN
cord-239632-dyvhzvmm	88	33	of	of	IN
cord-239632-dyvhzvmm	88	34	the	the	DT
cord-239632-dyvhzvmm	88	35	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	88	36	have	have	VBP
cord-239632-dyvhzvmm	88	37	waned	wane	VBN
cord-239632-dyvhzvmm	88	38	leaving	leave	VBG
cord-239632-dyvhzvmm	88	39	them	-PRON-	PRP
cord-239632-dyvhzvmm	88	40	vulnerable	vulnerable	JJ
cord-239632-dyvhzvmm	88	41	.	.	.
cord-239632-dyvhzvmm	89	1	The	the	DT
cord-239632-dyvhzvmm	89	2	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	89	3	model	model	NN
cord-239632-dyvhzvmm	89	4	among	among	IN
cord-239632-dyvhzvmm	89	5	two	two	CD
cord-239632-dyvhzvmm	89	6	age	age	NN
cord-239632-dyvhzvmm	89	7	groups	group	NNS
cord-239632-dyvhzvmm	89	8	is	be	VBZ
cord-239632-dyvhzvmm	89	9	given	give	VBN
cord-239632-dyvhzvmm	89	10	by	by	IN
cord-239632-dyvhzvmm	89	11	an	an	DT
cord-239632-dyvhzvmm	89	12	eight	eight	CD
cord-239632-dyvhzvmm	89	13	compartment	compartment	NN
cord-239632-dyvhzvmm	89	14	model	model	NN
cord-239632-dyvhzvmm	89	15	[	[	-LRB-
cord-239632-dyvhzvmm	89	16	17	17	CD
cord-239632-dyvhzvmm	89	17	]	]	-RRB-
cord-239632-dyvhzvmm	89	18	:	:	:
cord-239632-dyvhzvmm	90	1	The	the	DT
cord-239632-dyvhzvmm	90	2	contact	contact	NN
cord-239632-dyvhzvmm	90	3	matrix	matrix	NN
cord-239632-dyvhzvmm	90	4	between	between	IN
cord-239632-dyvhzvmm	90	5	the	the	DT
cord-239632-dyvhzvmm	90	6	two	two	CD
cord-239632-dyvhzvmm	90	7	age	age	NN
cord-239632-dyvhzvmm	90	8	groups	group	NNS
cord-239632-dyvhzvmm	90	9	is	be	VBZ
cord-239632-dyvhzvmm	90	10	taken	take	VBN
cord-239632-dyvhzvmm	90	11	to	to	TO
cord-239632-dyvhzvmm	90	12	be	be	VB
cord-239632-dyvhzvmm	90	13	:	:	:
cord-239632-dyvhzvmm	90	14	Other	other	JJ
cord-239632-dyvhzvmm	90	15	parameters	parameter	NNS
cord-239632-dyvhzvmm	90	16	we	-PRON-	PRP
cord-239632-dyvhzvmm	90	17	use	use	VBP
cord-239632-dyvhzvmm	90	18	are	be	VBP
cord-239632-dyvhzvmm	90	19	:	:	:
cord-239632-dyvhzvmm	91	1	Where	where	WRB
cord-239632-dyvhzvmm	91	2	group	group	NN
cord-239632-dyvhzvmm	91	3	1	1	CD
cord-239632-dyvhzvmm	91	4	is	be	VBZ
cord-239632-dyvhzvmm	91	5	the	the	DT
cord-239632-dyvhzvmm	91	6	age	age	NN
cord-239632-dyvhzvmm	91	7	group	group	NN
cord-239632-dyvhzvmm	91	8	0	0	CD
cord-239632-dyvhzvmm	91	9	-	-	SYM
cord-239632-dyvhzvmm	91	10	49	49	CD
cord-239632-dyvhzvmm	91	11	with	with	IN
cord-239632-dyvhzvmm	91	12	a	a	DT
cord-239632-dyvhzvmm	91	13	low	low	JJ
cord-239632-dyvhzvmm	91	14	mortality	mortality	NN
cord-239632-dyvhzvmm	91	15	rate	rate	NN
cord-239632-dyvhzvmm	91	16	and	and	CC
cord-239632-dyvhzvmm	91	17	group	group	NN
cord-239632-dyvhzvmm	91	18	2	2	CD
cord-239632-dyvhzvmm	91	19	is	be	VBZ
cord-239632-dyvhzvmm	91	20	the	the	DT
cord-239632-dyvhzvmm	91	21	age	age	NN
cord-239632-dyvhzvmm	91	22	group	group	NN
cord-239632-dyvhzvmm	91	23	50	50	CD
cord-239632-dyvhzvmm	92	1	+	+	CC
cord-239632-dyvhzvmm	92	2	with	with	IN
cord-239632-dyvhzvmm	92	3	a	a	DT
cord-239632-dyvhzvmm	92	4	substantially	substantially	RB
cord-239632-dyvhzvmm	92	5	higher	high	JJR
cord-239632-dyvhzvmm	92	6	mortality	mortality	NN
cord-239632-dyvhzvmm	92	7	rate	rate	NN
cord-239632-dyvhzvmm	92	8	.	.	.
cord-239632-dyvhzvmm	93	1	The	the	DT
cord-239632-dyvhzvmm	93	2	initial	initial	JJ
cord-239632-dyvhzvmm	93	3	population	population	NN
cord-239632-dyvhzvmm	93	4	of	of	IN
cord-239632-dyvhzvmm	93	5	group	group	NN
cord-239632-dyvhzvmm	93	6	1	1	CD
cord-239632-dyvhzvmm	93	7	is	be	VBZ
cord-239632-dyvhzvmm	93	8	taken	take	VBN
cord-239632-dyvhzvmm	93	9	to	to	TO
cord-239632-dyvhzvmm	93	10	be	be	VB
cord-239632-dyvhzvmm	93	11	60,000	60,000	CD
cord-239632-dyvhzvmm	93	12	and	and	CC
cord-239632-dyvhzvmm	93	13	for	for	IN
cord-239632-dyvhzvmm	93	14	group	group	NN
cord-239632-dyvhzvmm	93	15	2	2	CD
cord-239632-dyvhzvmm	93	16	the	the	DT
cord-239632-dyvhzvmm	93	17	initial	initial	JJ
cord-239632-dyvhzvmm	93	18	population	population	NN
cord-239632-dyvhzvmm	93	19	taken	take	VBN
cord-239632-dyvhzvmm	93	20	to	to	TO
cord-239632-dyvhzvmm	93	21	be	be	VB
cord-239632-dyvhzvmm	93	22	40,000	40,000	CD
cord-239632-dyvhzvmm	93	23	so	so	IN
cord-239632-dyvhzvmm	93	24	that	that	IN
cord-239632-dyvhzvmm	93	25	the	the	DT
cord-239632-dyvhzvmm	93	26	total	total	JJ
cord-239632-dyvhzvmm	93	27	initial	initial	JJ
cord-239632-dyvhzvmm	93	28	population	population	NN
cord-239632-dyvhzvmm	93	29	of	of	IN
cord-239632-dyvhzvmm	93	30	the	the	DT
cord-239632-dyvhzvmm	93	31	two	two	CD
cord-239632-dyvhzvmm	93	32	groups	group	NNS
cord-239632-dyvhzvmm	93	33	is	be	VBZ
cord-239632-dyvhzvmm	93	34	100,000	100,000	CD
cord-239632-dyvhzvmm	93	35	.	.	.
cord-239632-dyvhzvmm	94	1	The	the	DT
cord-239632-dyvhzvmm	94	2	initial	initial	JJ
cord-239632-dyvhzvmm	94	3	number	number	NN
cord-239632-dyvhzvmm	94	4	of	of	IN
cord-239632-dyvhzvmm	94	5	infected	infected	JJ
cord-239632-dyvhzvmm	94	6	individuals	individual	NNS
cord-239632-dyvhzvmm	94	7	in	in	IN
cord-239632-dyvhzvmm	94	8	group	group	NN
cord-239632-dyvhzvmm	94	9	1	1	CD
cord-239632-dyvhzvmm	94	10	was	be	VBD
cord-239632-dyvhzvmm	94	11	taken	take	VBN
cord-239632-dyvhzvmm	94	12	to	to	TO
cord-239632-dyvhzvmm	94	13	be	be	VB
cord-239632-dyvhzvmm	94	14	100	100	CD
cord-239632-dyvhzvmm	94	15	and	and	CC
cord-239632-dyvhzvmm	94	16	in	in	IN
cord-239632-dyvhzvmm	94	17	group	group	NN
cord-239632-dyvhzvmm	94	18	2	2	CD
cord-239632-dyvhzvmm	95	1	it	-PRON-	PRP
cord-239632-dyvhzvmm	95	2	was	be	VBD
cord-239632-dyvhzvmm	95	3	taken	take	VBN
cord-239632-dyvhzvmm	95	4	to	to	TO
cord-239632-dyvhzvmm	95	5	be	be	VB
cord-239632-dyvhzvmm	95	6	0	0	CD
cord-239632-dyvhzvmm	95	7	.	.	.
cord-239632-dyvhzvmm	96	1	Solving	solve	VBG
cord-239632-dyvhzvmm	96	2	these	these	DT
cord-239632-dyvhzvmm	96	3	equations	equation	NNS
cord-239632-dyvhzvmm	96	4	with	with	IN
cord-239632-dyvhzvmm	96	5	the	the	DT
cord-239632-dyvhzvmm	96	6	parameters	parameter	NNS
cord-239632-dyvhzvmm	96	7	and	and	CC
cord-239632-dyvhzvmm	96	8	initial	initial	JJ
cord-239632-dyvhzvmm	96	9	condition	condition	NN
cord-239632-dyvhzvmm	96	10	we	-PRON-	PRP
cord-239632-dyvhzvmm	96	11	see	see	VBP
cord-239632-dyvhzvmm	96	12	that	that	IN
cord-239632-dyvhzvmm	96	13	as	as	IN
cord-239632-dyvhzvmm	96	14	the	the	DT
cord-239632-dyvhzvmm	96	15	infections	infection	NNS
cord-239632-dyvhzvmm	96	16	in	in	IN
cord-239632-dyvhzvmm	96	17	group	group	NN
cord-239632-dyvhzvmm	96	18	1	1	CD
cord-239632-dyvhzvmm	96	19	go	go	VBP
cord-239632-dyvhzvmm	96	20	down	down	RB
cord-239632-dyvhzvmm	96	21	but	but	CC
cord-239632-dyvhzvmm	96	22	once	once	RB
cord-239632-dyvhzvmm	96	23	contact	contact	NN
cord-239632-dyvhzvmm	96	24	with	with	IN
cord-239632-dyvhzvmm	96	25	group	group	NN
cord-239632-dyvhzvmm	96	26	2	2	CD
cord-239632-dyvhzvmm	96	27	is	be	VBZ
cord-239632-dyvhzvmm	96	28	initiated	initiate	VBN
cord-239632-dyvhzvmm	96	29	the	the	DT
cord-239632-dyvhzvmm	96	30	infections	infection	NNS
cord-239632-dyvhzvmm	96	31	in	in	IN
cord-239632-dyvhzvmm	96	32	group	group	NN
cord-239632-dyvhzvmm	96	33	2	2	CD
cord-239632-dyvhzvmm	96	34	increase	increase	NN
cord-239632-dyvhzvmm	96	35	and	and	CC
cord-239632-dyvhzvmm	96	36	one	one	NN
cord-239632-dyvhzvmm	96	37	obtains	obtain	VBZ
cord-239632-dyvhzvmm	96	38	a	a	DT
cord-239632-dyvhzvmm	96	39	second	second	JJ
cord-239632-dyvhzvmm	96	40	peak	peak	NN
cord-239632-dyvhzvmm	96	41	of	of	IN
cord-239632-dyvhzvmm	96	42	infections	infection	NNS
cord-239632-dyvhzvmm	96	43	in	in	IN
cord-239632-dyvhzvmm	96	44	group	group	NN
cord-239632-dyvhzvmm	96	45	2	2	CD
cord-239632-dyvhzvmm	96	46	with	with	IN
cord-239632-dyvhzvmm	96	47	contributes	contribute	NNS
cord-239632-dyvhzvmm	96	48	substantially	substantially	RB
cord-239632-dyvhzvmm	96	49	to	to	IN
cord-239632-dyvhzvmm	96	50	the	the	DT
cord-239632-dyvhzvmm	96	51	total	total	JJ
cord-239632-dyvhzvmm	96	52	number	number	NN
cord-239632-dyvhzvmm	96	53	of	of	IN
cord-239632-dyvhzvmm	96	54	deaths	death	NNS
cord-239632-dyvhzvmm	96	55	due	due	JJ
cord-239632-dyvhzvmm	96	56	to	to	IN
cord-239632-dyvhzvmm	96	57	the	the	DT
cord-239632-dyvhzvmm	96	58	high	high	JJ
cord-239632-dyvhzvmm	96	59	mortality	mortality	NN
cord-239632-dyvhzvmm	96	60	in	in	IN
cord-239632-dyvhzvmm	96	61	group	group	NN
cord-239632-dyvhzvmm	96	62	2	2	CD
cord-239632-dyvhzvmm	96	63	.	.	.
cord-239632-dyvhzvmm	97	1	Often	often	RB
cord-239632-dyvhzvmm	97	2	during	during	IN
cord-239632-dyvhzvmm	97	3	pandemics	pandemic	NNS
cord-239632-dyvhzvmm	97	4	segments	segment	NNS
cord-239632-dyvhzvmm	97	5	of	of	IN
cord-239632-dyvhzvmm	97	6	the	the	DT
cord-239632-dyvhzvmm	97	7	population	population	NN
cord-239632-dyvhzvmm	97	8	are	be	VBP
cord-239632-dyvhzvmm	97	9	kept	keep	VBN
cord-239632-dyvhzvmm	97	10	from	from	IN
cord-239632-dyvhzvmm	97	11	the	the	DT
cord-239632-dyvhzvmm	97	12	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	97	13	part	part	NN
cord-239632-dyvhzvmm	97	14	of	of	IN
cord-239632-dyvhzvmm	97	15	the	the	DT
cord-239632-dyvhzvmm	97	16	population	population	NN
cord-239632-dyvhzvmm	97	17	through	through	IN
cord-239632-dyvhzvmm	97	18	stay	stay	NN
cord-239632-dyvhzvmm	97	19	at	at	IN
cord-239632-dyvhzvmm	97	20	home	home	NN
cord-239632-dyvhzvmm	97	21	orders	order	NNS
cord-239632-dyvhzvmm	97	22	.	.	.
cord-239632-dyvhzvmm	98	1	These	these	DT
cord-239632-dyvhzvmm	98	2	segments	segment	NNS
cord-239632-dyvhzvmm	98	3	may	may	MD
cord-239632-dyvhzvmm	98	4	be	be	VB
cord-239632-dyvhzvmm	98	5	added	add	VBN
cord-239632-dyvhzvmm	98	6	later	later	RB
cord-239632-dyvhzvmm	98	7	to	to	IN
cord-239632-dyvhzvmm	98	8	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	98	9	pool	pool	NN
cord-239632-dyvhzvmm	98	10	at	at	IN
cord-239632-dyvhzvmm	98	11	a	a	DT
cord-239632-dyvhzvmm	98	12	later	later	JJ
cord-239632-dyvhzvmm	98	13	stage	stage	NN
cord-239632-dyvhzvmm	98	14	in	in	IN
cord-239632-dyvhzvmm	98	15	the	the	DT
cord-239632-dyvhzvmm	98	16	pandemic	pandemic	NN
cord-239632-dyvhzvmm	98	17	when	when	WRB
cord-239632-dyvhzvmm	98	18	restrictions	restriction	NNS
cord-239632-dyvhzvmm	98	19	are	be	VBP
cord-239632-dyvhzvmm	98	20	eased	ease	VBN
cord-239632-dyvhzvmm	98	21	.	.	.
cord-239632-dyvhzvmm	99	1	This	this	DT
cord-239632-dyvhzvmm	99	2	can	can	MD
cord-239632-dyvhzvmm	99	3	be	be	VB
cord-239632-dyvhzvmm	99	4	modeled	model	VBN
cord-239632-dyvhzvmm	99	5	with	with	IN
cord-239632-dyvhzvmm	99	6	nine	nine	CD
cord-239632-dyvhzvmm	99	7	groups	group	NNS
cord-239632-dyvhzvmm	99	8	from	from	IN
cord-239632-dyvhzvmm	99	9	0	0	CD
cord-239632-dyvhzvmm	99	10	to	to	IN
cord-239632-dyvhzvmm	99	11	80	80	CD
cord-239632-dyvhzvmm	99	12	+	+	CC
cord-239632-dyvhzvmm	99	13	in	in	IN
cord-239632-dyvhzvmm	99	14	ten	ten	CD
cord-239632-dyvhzvmm	99	15	year	year	NN
cord-239632-dyvhzvmm	99	16	intervals	interval	NNS
cord-239632-dyvhzvmm	99	17	as	as	IN
cord-239632-dyvhzvmm	99	18	in	in	IN
cord-239632-dyvhzvmm	99	19	figure	figure	NN
cord-239632-dyvhzvmm	99	20	4	4	CD
cord-239632-dyvhzvmm	99	21	or	or	CC
cord-239632-dyvhzvmm	99	22	as	as	IN
cord-239632-dyvhzvmm	99	23	two	two	CD
cord-239632-dyvhzvmm	99	24	age	age	NN
cord-239632-dyvhzvmm	99	25	groups	group	NNS
cord-239632-dyvhzvmm	99	26	one	one	CD
cord-239632-dyvhzvmm	99	27	group	group	NN
cord-239632-dyvhzvmm	99	28	under	under	IN
cord-239632-dyvhzvmm	99	29	50	50	CD
cord-239632-dyvhzvmm	99	30	and	and	CC
cord-239632-dyvhzvmm	99	31	the	the	DT
cord-239632-dyvhzvmm	99	32	other	other	JJ
cord-239632-dyvhzvmm	99	33	over	over	IN
cord-239632-dyvhzvmm	99	34	50	50	CD
cord-239632-dyvhzvmm	99	35	as	as	IN
cord-239632-dyvhzvmm	99	36	in	in	IN
cord-239632-dyvhzvmm	99	37	figure	figure	NN
cord-239632-dyvhzvmm	99	38	5	5	CD
cord-239632-dyvhzvmm	99	39	.	.	.
cord-239632-dyvhzvmm	100	1	In	in	IN
cord-239632-dyvhzvmm	100	2	either	either	DT
cord-239632-dyvhzvmm	100	3	case	case	NN
cord-239632-dyvhzvmm	100	4	the	the	DT
cord-239632-dyvhzvmm	100	5	population	population	NN
cord-239632-dyvhzvmm	100	6	with	with	IN
cord-239632-dyvhzvmm	100	7	a	a	DT
cord-239632-dyvhzvmm	100	8	contact	contact	NN
cord-239632-dyvhzvmm	100	9	matrix	matrix	NN
cord-239632-dyvhzvmm	100	10	which	which	WDT
cord-239632-dyvhzvmm	100	11	is	be	VBZ
cord-239632-dyvhzvmm	100	12	diagonal	diagonal	JJ
cord-239632-dyvhzvmm	100	13	initially	initially	RB
cord-239632-dyvhzvmm	100	14	and	and	CC
cord-239632-dyvhzvmm	100	15	is	be	VBZ
cord-239632-dyvhzvmm	100	16	non	non	JJ
cord-239632-dyvhzvmm	100	17	-	-	JJ
cord-239632-dyvhzvmm	100	18	diagonal	diagonal	JJ
cord-239632-dyvhzvmm	100	19	at	at	IN
cord-239632-dyvhzvmm	100	20	a	a	DT
cord-239632-dyvhzvmm	100	21	later	later	JJ
cord-239632-dyvhzvmm	100	22	stage	stage	NN
cord-239632-dyvhzvmm	100	23	.	.	.
cord-239632-dyvhzvmm	101	1	The	the	DT
cord-239632-dyvhzvmm	101	2	results	result	NNS
cord-239632-dyvhzvmm	101	3	from	from	IN
cord-239632-dyvhzvmm	101	4	the	the	DT
cord-239632-dyvhzvmm	101	5	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	101	6	model	model	NN
cord-239632-dyvhzvmm	101	7	for	for	IN
cord-239632-dyvhzvmm	101	8	the	the	DT
cord-239632-dyvhzvmm	101	9	the	the	DT
cord-239632-dyvhzvmm	101	10	two	two	CD
cord-239632-dyvhzvmm	101	11	age	age	NN
cord-239632-dyvhzvmm	101	12	group	group	NN
cord-239632-dyvhzvmm	101	13	case	case	NN
cord-239632-dyvhzvmm	101	14	is	be	VBZ
cord-239632-dyvhzvmm	101	15	shown	show	VBN
cord-239632-dyvhzvmm	101	16	in	in	IN
cord-239632-dyvhzvmm	101	17	figure	figure	NN
cord-239632-dyvhzvmm	101	18	 	 	_SP
cord-239632-dyvhzvmm	101	19	6	6	CD
cord-239632-dyvhzvmm	101	20	and	and	CC
cord-239632-dyvhzvmm	101	21	figure	figure	VB
cord-239632-dyvhzvmm	101	22	7	7	CD
cord-239632-dyvhzvmm	101	23	.	.	.
cord-239632-dyvhzvmm	102	1	We	-PRON-	PRP
cord-239632-dyvhzvmm	102	2	clearly	clearly	RB
cord-239632-dyvhzvmm	102	3	see	see	VBP
cord-239632-dyvhzvmm	102	4	the	the	DT
cord-239632-dyvhzvmm	102	5	second	second	JJ
cord-239632-dyvhzvmm	102	6	peak	peak	NN
cord-239632-dyvhzvmm	102	7	of	of	IN
cord-239632-dyvhzvmm	102	8	infection	infection	NN
cord-239632-dyvhzvmm	102	9	in	in	IN
cord-239632-dyvhzvmm	102	10	the	the	DT
cord-239632-dyvhzvmm	102	11	older	old	JJR
cord-239632-dyvhzvmm	102	12	age	age	NN
cord-239632-dyvhzvmm	102	13	group	group	NN
cord-239632-dyvhzvmm	102	14	due	due	IN
cord-239632-dyvhzvmm	102	15	to	to	IN
cord-239632-dyvhzvmm	102	16	the	the	DT
cord-239632-dyvhzvmm	102	17	the	the	DT
cord-239632-dyvhzvmm	102	18	effects	effect	NNS
cord-239632-dyvhzvmm	102	19	of	of	IN
cord-239632-dyvhzvmm	102	20	the	the	DT
cord-239632-dyvhzvmm	102	21	contact	contact	NN
cord-239632-dyvhzvmm	102	22	matrix	matrix	NN
cord-239632-dyvhzvmm	102	23	and	and	CC
cord-239632-dyvhzvmm	102	24	initial	initial	JJ
cord-239632-dyvhzvmm	102	25	infection	infection	NN
cord-239632-dyvhzvmm	102	26	in	in	IN
cord-239632-dyvhzvmm	102	27	the	the	DT
cord-239632-dyvhzvmm	102	28	younger	young	JJR
cord-239632-dyvhzvmm	102	29	age	age	NN
cord-239632-dyvhzvmm	102	30	group	group	NN
cord-239632-dyvhzvmm	102	31	.	.	.
cord-239632-dyvhzvmm	103	1	Because	because	IN
cord-239632-dyvhzvmm	103	2	of	of	IN
cord-239632-dyvhzvmm	103	3	the	the	DT
cord-239632-dyvhzvmm	103	4	higher	high	JJR
cord-239632-dyvhzvmm	103	5	mortality	mortality	NN
cord-239632-dyvhzvmm	103	6	rate	rate	NN
cord-239632-dyvhzvmm	103	7	in	in	IN
cord-239632-dyvhzvmm	103	8	the	the	DT
cord-239632-dyvhzvmm	103	9	older	old	JJR
cord-239632-dyvhzvmm	103	10	age	age	NN
cord-239632-dyvhzvmm	103	11	group	group	NN
cord-239632-dyvhzvmm	103	12	the	the	DT
cord-239632-dyvhzvmm	103	13	model	model	NN
cord-239632-dyvhzvmm	103	14	predicts	predict	VBZ
cord-239632-dyvhzvmm	103	15	that	that	IN
cord-239632-dyvhzvmm	103	16	most	most	JJS
cord-239632-dyvhzvmm	103	17	of	of	IN
cord-239632-dyvhzvmm	103	18	the	the	DT
cord-239632-dyvhzvmm	103	19	deaths	death	NNS
cord-239632-dyvhzvmm	103	20	occur	occur	VBP
cord-239632-dyvhzvmm	103	21	there	there	RB
cord-239632-dyvhzvmm	103	22	.	.	.
cord-239632-dyvhzvmm	104	1	For	for	IN
cord-239632-dyvhzvmm	104	2	the	the	DT
cord-239632-dyvhzvmm	104	3	parameters	parameter	NNS
cord-239632-dyvhzvmm	104	4	that	that	WDT
cord-239632-dyvhzvmm	104	5	we	-PRON-	PRP
cord-239632-dyvhzvmm	104	6	chose	choose	VBD
cord-239632-dyvhzvmm	104	7	in	in	IN
cord-239632-dyvhzvmm	104	8	the	the	DT
cord-239632-dyvhzvmm	104	9	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	104	10	simulation	simulation	NN
cord-239632-dyvhzvmm	104	11	with	with	IN
cord-239632-dyvhzvmm	104	12	a	a	DT
cord-239632-dyvhzvmm	104	13	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	104	14	population	population	NN
cord-239632-dyvhzvmm	104	15	of	of	IN
cord-239632-dyvhzvmm	104	16	60,000	60,000	CD
cord-239632-dyvhzvmm	104	17	in	in	IN
cord-239632-dyvhzvmm	104	18	the	the	DT
cord-239632-dyvhzvmm	104	19	younger	young	JJR
cord-239632-dyvhzvmm	104	20	age	age	NN
cord-239632-dyvhzvmm	104	21	group	group	NN
cord-239632-dyvhzvmm	104	22	and	and	CC
cord-239632-dyvhzvmm	104	23	40,000	40,000	CD
cord-239632-dyvhzvmm	104	24	in	in	IN
cord-239632-dyvhzvmm	104	25	the	the	DT
cord-239632-dyvhzvmm	104	26	older	old	JJR
cord-239632-dyvhzvmm	104	27	age	age	NN
cord-239632-dyvhzvmm	104	28	group	group	NN
cord-239632-dyvhzvmm	105	1	and	and	CC
cord-239632-dyvhzvmm	105	2	we	-PRON-	PRP
cord-239632-dyvhzvmm	105	3	found	find	VBD
cord-239632-dyvhzvmm	105	4	that	that	IN
cord-239632-dyvhzvmm	105	5	the	the	DT
cord-239632-dyvhzvmm	105	6	number	number	NN
cord-239632-dyvhzvmm	105	7	of	of	IN
cord-239632-dyvhzvmm	105	8	deaths	death	NNS
cord-239632-dyvhzvmm	105	9	were	be	VBD
cord-239632-dyvhzvmm	105	10	86	86	CD
cord-239632-dyvhzvmm	105	11	in	in	IN
cord-239632-dyvhzvmm	105	12	the	the	DT
cord-239632-dyvhzvmm	105	13	younger	young	JJR
cord-239632-dyvhzvmm	105	14	age	age	NN
cord-239632-dyvhzvmm	105	15	group	group	NN
cord-239632-dyvhzvmm	105	16	and	and	CC
cord-239632-dyvhzvmm	105	17	1283	1283	CD
cord-239632-dyvhzvmm	105	18	in	in	IN
cord-239632-dyvhzvmm	105	19	the	the	DT
cord-239632-dyvhzvmm	105	20	older	old	JJR
cord-239632-dyvhzvmm	105	21	age	age	NN
cord-239632-dyvhzvmm	105	22	group	group	NN
cord-239632-dyvhzvmm	105	23	for	for	IN
cord-239632-dyvhzvmm	105	24	at	at	IN
cord-239632-dyvhzvmm	105	25	total	total	NN
cord-239632-dyvhzvmm	105	26	of	of	IN
cord-239632-dyvhzvmm	105	27	1369	1369	CD
cord-239632-dyvhzvmm	105	28	deaths	death	NNS
cord-239632-dyvhzvmm	105	29	out	out	IN
cord-239632-dyvhzvmm	105	30	of	of	IN
cord-239632-dyvhzvmm	105	31	the	the	DT
cord-239632-dyvhzvmm	105	32	100,000	100,000	CD
cord-239632-dyvhzvmm	105	33	population	population	NN
cord-239632-dyvhzvmm	105	34	.	.	.
cord-239632-dyvhzvmm	106	1	This	this	DT
cord-239632-dyvhzvmm	106	2	is	be	VBZ
cord-239632-dyvhzvmm	106	3	a	a	DT
cord-239632-dyvhzvmm	106	4	dramatic	dramatic	JJ
cord-239632-dyvhzvmm	106	5	illustration	illustration	NN
cord-239632-dyvhzvmm	106	6	of	of	IN
cord-239632-dyvhzvmm	106	7	the	the	DT
cord-239632-dyvhzvmm	106	8	effect	effect	NN
cord-239632-dyvhzvmm	106	9	of	of	IN
cord-239632-dyvhzvmm	106	10	the	the	DT
cord-239632-dyvhzvmm	106	11	contact	contact	NN
cord-239632-dyvhzvmm	106	12	matrix	matrix	NN
cord-239632-dyvhzvmm	106	13	between	between	IN
cord-239632-dyvhzvmm	106	14	different	different	JJ
cord-239632-dyvhzvmm	106	15	age	age	NN
cord-239632-dyvhzvmm	106	16	populations	population	NNS
cord-239632-dyvhzvmm	106	17	in	in	IN
cord-239632-dyvhzvmm	106	18	pandemic	pandemic	NN
cord-239632-dyvhzvmm	106	19	modeling	modeling	NN
cord-239632-dyvhzvmm	106	20	.	.	.
cord-239632-dyvhzvmm	107	1	It	-PRON-	PRP
cord-239632-dyvhzvmm	107	2	is	be	VBZ
cord-239632-dyvhzvmm	107	3	important	important	JJ
cord-239632-dyvhzvmm	107	4	to	to	TO
cord-239632-dyvhzvmm	107	5	note	note	VB
cord-239632-dyvhzvmm	107	6	in	in	IN
cord-239632-dyvhzvmm	107	7	the	the	DT
cord-239632-dyvhzvmm	107	8	early	early	JJ
cord-239632-dyvhzvmm	107	9	phase	phase	NN
cord-239632-dyvhzvmm	107	10	of	of	IN
cord-239632-dyvhzvmm	107	11	a	a	DT
cord-239632-dyvhzvmm	107	12	pandemic	pandemic	NN
cord-239632-dyvhzvmm	107	13	such	such	JJ
cord-239632-dyvhzvmm	107	14	as	as	IN
cord-239632-dyvhzvmm	107	15	from	from	IN
cord-239632-dyvhzvmm	107	16	COVID-19	COVID-19	NNP
cord-239632-dyvhzvmm	107	17	the	the	DT
cord-239632-dyvhzvmm	107	18	model	model	NN
cord-239632-dyvhzvmm	107	19	parameters	parameter	NNS
cord-239632-dyvhzvmm	107	20	are	be	VBP
cord-239632-dyvhzvmm	107	21	not	not	RB
cord-239632-dyvhzvmm	107	22	known	know	VBN
cord-239632-dyvhzvmm	107	23	accurately	accurately	RB
cord-239632-dyvhzvmm	107	24	.	.	.
cord-239632-dyvhzvmm	108	1	These	these	DT
cord-239632-dyvhzvmm	108	2	uncertainties	uncertainty	NNS
cord-239632-dyvhzvmm	108	3	can	can	MD
cord-239632-dyvhzvmm	108	4	lead	lead	VB
cord-239632-dyvhzvmm	108	5	to	to	IN
cord-239632-dyvhzvmm	108	6	a	a	DT
cord-239632-dyvhzvmm	108	7	range	range	NN
cord-239632-dyvhzvmm	108	8	of	of	IN
cord-239632-dyvhzvmm	108	9	predictions	prediction	NNS
cord-239632-dyvhzvmm	108	10	that	that	WDT
cord-239632-dyvhzvmm	108	11	depend	depend	VBP
cord-239632-dyvhzvmm	108	12	on	on	IN
cord-239632-dyvhzvmm	108	13	these	these	DT
cord-239632-dyvhzvmm	108	14	uncertainties	uncertainty	NNS
cord-239632-dyvhzvmm	108	15	.	.	.
cord-239632-dyvhzvmm	109	1	Although	although	IN
cord-239632-dyvhzvmm	109	2	there	there	EX
cord-239632-dyvhzvmm	109	3	are	be	VBP
cord-239632-dyvhzvmm	109	4	several	several	JJ
cord-239632-dyvhzvmm	109	5	parameters	parameter	NNS
cord-239632-dyvhzvmm	109	6	in	in	IN
cord-239632-dyvhzvmm	109	7	the	the	DT
cord-239632-dyvhzvmm	109	8	models	model	NNS
cord-239632-dyvhzvmm	109	9	we	-PRON-	PRP
cord-239632-dyvhzvmm	109	10	simulate	simulate	VBP
cord-239632-dyvhzvmm	109	11	we	-PRON-	PRP
cord-239632-dyvhzvmm	109	12	found	find	VBD
cord-239632-dyvhzvmm	109	13	the	the	DT
cord-239632-dyvhzvmm	109	14	parameter	parameter	NN
cord-239632-dyvhzvmm	109	15	β	β	XX
cord-239632-dyvhzvmm	109	16	that	that	WDT
cord-239632-dyvhzvmm	109	17	indicated	indicate	VBD
cord-239632-dyvhzvmm	109	18	the	the	DT
cord-239632-dyvhzvmm	109	19	interaction	interaction	NN
cord-239632-dyvhzvmm	109	20	between	between	IN
cord-239632-dyvhzvmm	109	21	the	the	DT
cord-239632-dyvhzvmm	109	22	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	109	23	and	and	CC
cord-239632-dyvhzvmm	109	24	infected	infected	JJ
cord-239632-dyvhzvmm	109	25	populations	population	NNS
cord-239632-dyvhzvmm	109	26	to	to	TO
cord-239632-dyvhzvmm	109	27	be	be	VB
cord-239632-dyvhzvmm	109	28	very	very	RB
cord-239632-dyvhzvmm	109	29	important	important	JJ
cord-239632-dyvhzvmm	109	30	.	.	.
cord-239632-dyvhzvmm	110	1	For	for	IN
cord-239632-dyvhzvmm	110	2	the	the	DT
cord-239632-dyvhzvmm	110	3	simulation	simulation	NN
cord-239632-dyvhzvmm	110	4	results	result	NNS
cord-239632-dyvhzvmm	110	5	shown	show	VBN
cord-239632-dyvhzvmm	110	6	figure	figure	NN
cord-239632-dyvhzvmm	110	7	6	6	CD
cord-239632-dyvhzvmm	110	8	increasing	increase	VBG
cord-239632-dyvhzvmm	110	9	β	β	NN
cord-239632-dyvhzvmm	110	10	by	by	IN
cord-239632-dyvhzvmm	110	11	10	10	CD
cord-239632-dyvhzvmm	110	12	percent	percent	NN
cord-239632-dyvhzvmm	110	13	lead	lead	NN
cord-239632-dyvhzvmm	110	14	to	to	IN
cord-239632-dyvhzvmm	110	15	a	a	DT
cord-239632-dyvhzvmm	110	16	peak	peak	NN
cord-239632-dyvhzvmm	110	17	in	in	IN
cord-239632-dyvhzvmm	110	18	infection	infection	NN
cord-239632-dyvhzvmm	110	19	in	in	IN
cord-239632-dyvhzvmm	110	20	the	the	DT
cord-239632-dyvhzvmm	110	21	younger	young	JJR
cord-239632-dyvhzvmm	110	22	group	group	NN
cord-239632-dyvhzvmm	110	23	increasing	increase	VBG
cord-239632-dyvhzvmm	110	24	from	from	IN
cord-239632-dyvhzvmm	110	25	12,000	12,000	CD
cord-239632-dyvhzvmm	110	26	to	to	IN
cord-239632-dyvhzvmm	110	27	13,800	13,800	CD
cord-239632-dyvhzvmm	110	28	and	and	CC
cord-239632-dyvhzvmm	110	29	and	and	CC
cord-239632-dyvhzvmm	110	30	an	an	DT
cord-239632-dyvhzvmm	110	31	increase	increase	NN
cord-239632-dyvhzvmm	110	32	the	the	DT
cord-239632-dyvhzvmm	110	33	peak	peak	NN
cord-239632-dyvhzvmm	110	34	in	in	IN
cord-239632-dyvhzvmm	110	35	the	the	DT
cord-239632-dyvhzvmm	110	36	older	old	JJR
cord-239632-dyvhzvmm	110	37	group	group	NN
cord-239632-dyvhzvmm	110	38	from	from	IN
cord-239632-dyvhzvmm	110	39	8000	8000	CD
cord-239632-dyvhzvmm	110	40	to	to	IN
cord-239632-dyvhzvmm	110	41	9500	9500	CD
cord-239632-dyvhzvmm	110	42	.	.	.
cord-239632-dyvhzvmm	111	1	Decreasing	decrease	VBG
cord-239632-dyvhzvmm	111	2	β	β	XX
cord-239632-dyvhzvmm	111	3	by	by	IN
cord-239632-dyvhzvmm	111	4	ten	ten	CD
cord-239632-dyvhzvmm	111	5	percent	percent	NN
cord-239632-dyvhzvmm	111	6	lead	lead	NN
cord-239632-dyvhzvmm	111	7	to	to	IN
cord-239632-dyvhzvmm	111	8	a	a	DT
cord-239632-dyvhzvmm	111	9	peak	peak	NN
cord-239632-dyvhzvmm	111	10	in	in	IN
cord-239632-dyvhzvmm	111	11	infection	infection	NN
cord-239632-dyvhzvmm	111	12	in	in	IN
cord-239632-dyvhzvmm	111	13	the	the	DT
cord-239632-dyvhzvmm	111	14	younger	young	JJR
cord-239632-dyvhzvmm	111	15	group	group	NN
cord-239632-dyvhzvmm	111	16	with	with	IN
cord-239632-dyvhzvmm	111	17	a	a	DT
cord-239632-dyvhzvmm	111	18	decrease	decrease	NN
cord-239632-dyvhzvmm	111	19	from	from	IN
cord-239632-dyvhzvmm	111	20	12,000	12,000	CD
cord-239632-dyvhzvmm	111	21	to	to	TO
cord-239632-dyvhzvmm	111	22	9500	9500	CD
cord-239632-dyvhzvmm	111	23	and	and	CC
cord-239632-dyvhzvmm	111	24	and	and	CC
cord-239632-dyvhzvmm	111	25	an	an	DT
cord-239632-dyvhzvmm	111	26	decrease	decrease	NN
cord-239632-dyvhzvmm	111	27	in	in	IN
cord-239632-dyvhzvmm	111	28	the	the	DT
cord-239632-dyvhzvmm	111	29	peak	peak	NN
cord-239632-dyvhzvmm	111	30	in	in	IN
cord-239632-dyvhzvmm	111	31	the	the	DT
cord-239632-dyvhzvmm	111	32	older	old	JJR
cord-239632-dyvhzvmm	111	33	group	group	NN
cord-239632-dyvhzvmm	111	34	from	from	IN
cord-239632-dyvhzvmm	111	35	8000	8000	CD
cord-239632-dyvhzvmm	111	36	to	to	IN
cord-239632-dyvhzvmm	111	37	7060	7060	CD
cord-239632-dyvhzvmm	111	38	.	.	.
cord-239632-dyvhzvmm	112	1	For	for	IN
cord-239632-dyvhzvmm	112	2	the	the	DT
cord-239632-dyvhzvmm	112	3	simulation	simulation	NN
cord-239632-dyvhzvmm	112	4	results	result	NNS
cord-239632-dyvhzvmm	112	5	in	in	IN
cord-239632-dyvhzvmm	112	6	figure	figure	NN
cord-239632-dyvhzvmm	112	7	7	7	CD
cord-239632-dyvhzvmm	112	8	increasing	increase	VBG
cord-239632-dyvhzvmm	112	9	β	β	XX
cord-239632-dyvhzvmm	112	10	by	by	IN
cord-239632-dyvhzvmm	112	11	10	10	CD
cord-239632-dyvhzvmm	112	12	percent	percent	NN
cord-239632-dyvhzvmm	112	13	lead	lead	NN
cord-239632-dyvhzvmm	112	14	to	to	IN
cord-239632-dyvhzvmm	112	15	deaths	death	NNS
cord-239632-dyvhzvmm	112	16	in	in	IN
cord-239632-dyvhzvmm	112	17	the	the	DT
cord-239632-dyvhzvmm	112	18	younger	young	JJR
cord-239632-dyvhzvmm	112	19	group	group	NN
cord-239632-dyvhzvmm	112	20	increasing	increase	VBG
cord-239632-dyvhzvmm	112	21	from	from	IN
cord-239632-dyvhzvmm	112	22	86	86	CD
cord-239632-dyvhzvmm	112	23	to	to	IN
cord-239632-dyvhzvmm	112	24	89	89	CD
cord-239632-dyvhzvmm	112	25	and	and	CC
cord-239632-dyvhzvmm	112	26	and	and	CC
cord-239632-dyvhzvmm	112	27	an	an	DT
cord-239632-dyvhzvmm	112	28	increase	increase	NN
cord-239632-dyvhzvmm	112	29	in	in	IN
cord-239632-dyvhzvmm	112	30	deaths	death	NNS
cord-239632-dyvhzvmm	112	31	in	in	IN
cord-239632-dyvhzvmm	112	32	the	the	DT
cord-239632-dyvhzvmm	112	33	older	old	JJR
cord-239632-dyvhzvmm	112	34	group	group	NN
cord-239632-dyvhzvmm	112	35	from	from	IN
cord-239632-dyvhzvmm	112	36	1283	1283	CD
cord-239632-dyvhzvmm	112	37	to	to	IN
cord-239632-dyvhzvmm	112	38	1335	1335	CD
cord-239632-dyvhzvmm	112	39	.	.	.
cord-239632-dyvhzvmm	113	1	Decreasing	decrease	VBG
cord-239632-dyvhzvmm	113	2	β	β	XX
cord-239632-dyvhzvmm	113	3	by	by	IN
cord-239632-dyvhzvmm	113	4	ten	ten	CD
cord-239632-dyvhzvmm	113	5	percent	percent	NN
cord-239632-dyvhzvmm	113	6	lead	lead	NN
cord-239632-dyvhzvmm	113	7	to	to	IN
cord-239632-dyvhzvmm	113	8	deaths	death	NNS
cord-239632-dyvhzvmm	113	9	in	in	IN
cord-239632-dyvhzvmm	113	10	the	the	DT
cord-239632-dyvhzvmm	113	11	younger	young	JJR
cord-239632-dyvhzvmm	113	12	to	to	TO
cord-239632-dyvhzvmm	113	13	decrease	decrease	VB
cord-239632-dyvhzvmm	113	14	from	from	IN
cord-239632-dyvhzvmm	113	15	86	86	CD
cord-239632-dyvhzvmm	113	16	to	to	IN
cord-239632-dyvhzvmm	113	17	82	82	CD
cord-239632-dyvhzvmm	113	18	and	and	CC
cord-239632-dyvhzvmm	113	19	and	and	CC
cord-239632-dyvhzvmm	113	20	an	an	DT
cord-239632-dyvhzvmm	113	21	increase	increase	NN
cord-239632-dyvhzvmm	113	22	in	in	IN
cord-239632-dyvhzvmm	113	23	deaths	death	NNS
cord-239632-dyvhzvmm	113	24	in	in	IN
cord-239632-dyvhzvmm	113	25	the	the	DT
cord-239632-dyvhzvmm	113	26	older	old	JJR
cord-239632-dyvhzvmm	113	27	group	group	NN
cord-239632-dyvhzvmm	113	28	from	from	IN
cord-239632-dyvhzvmm	113	29	1283	1283	CD
cord-239632-dyvhzvmm	113	30	to	to	IN
cord-239632-dyvhzvmm	113	31	1212	1212	CD
cord-239632-dyvhzvmm	113	32	.	.	.
cord-239632-dyvhzvmm	114	1	Figure	figure	NN
cord-239632-dyvhzvmm	114	2	6	6	CD
cord-239632-dyvhzvmm	114	3	:	:	:
cord-239632-dyvhzvmm	114	4	Infections	infection	NNS
cord-239632-dyvhzvmm	114	5	as	as	IN
cord-239632-dyvhzvmm	114	6	a	a	DT
cord-239632-dyvhzvmm	114	7	function	function	NN
cord-239632-dyvhzvmm	114	8	of	of	IN
cord-239632-dyvhzvmm	114	9	time	time	NN
cord-239632-dyvhzvmm	114	10	for	for	IN
cord-239632-dyvhzvmm	114	11	two	two	CD
cord-239632-dyvhzvmm	114	12	age	age	NN
cord-239632-dyvhzvmm	114	13	groups	group	NNS
cord-239632-dyvhzvmm	114	14	(	(	-LRB-
cord-239632-dyvhzvmm	114	15	0	0	CD
cord-239632-dyvhzvmm	114	16	−	−	NNP
cord-239632-dyvhzvmm	114	17	49	49	CD
cord-239632-dyvhzvmm	114	18	)	)	-RRB-
cord-239632-dyvhzvmm	114	19	and	and	CC
cord-239632-dyvhzvmm	114	20	50	50	CD
cord-239632-dyvhzvmm	115	1	+	+	CC
cord-239632-dyvhzvmm	116	1	where	where	WRB
cord-239632-dyvhzvmm	116	2	there	there	EX
cord-239632-dyvhzvmm	116	3	is	be	VBZ
cord-239632-dyvhzvmm	116	4	a	a	DT
cord-239632-dyvhzvmm	116	5	nondiagonal	nondiagonal	JJ
cord-239632-dyvhzvmm	116	6	contact	contact	NN
cord-239632-dyvhzvmm	116	7	matrix	matrix	NN
cord-239632-dyvhzvmm	116	8	in	in	IN
cord-239632-dyvhzvmm	116	9	the	the	DT
cord-239632-dyvhzvmm	116	10	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	116	11	model	model	NN
cord-239632-dyvhzvmm	116	12	describing	describe	VBG
cord-239632-dyvhzvmm	116	13	the	the	DT
cord-239632-dyvhzvmm	116	14	interaction	interaction	NN
cord-239632-dyvhzvmm	116	15	between	between	IN
cord-239632-dyvhzvmm	116	16	the	the	DT
cord-239632-dyvhzvmm	116	17	two	two	CD
cord-239632-dyvhzvmm	116	18	age	age	NN
cord-239632-dyvhzvmm	116	19	groups	group	NNS
cord-239632-dyvhzvmm	116	20	during	during	IN
cord-239632-dyvhzvmm	116	21	the	the	DT
cord-239632-dyvhzvmm	116	22	pandemic	pandemic	NN
cord-239632-dyvhzvmm	116	23	.	.	.
cord-239632-dyvhzvmm	117	1	Note	note	VB
cord-239632-dyvhzvmm	117	2	the	the	DT
cord-239632-dyvhzvmm	117	3	presence	presence	NN
cord-239632-dyvhzvmm	117	4	of	of	IN
cord-239632-dyvhzvmm	117	5	two	two	CD
cord-239632-dyvhzvmm	117	6	peaks	peak	NNS
cord-239632-dyvhzvmm	117	7	corresponding	correspond	VBG
cord-239632-dyvhzvmm	117	8	to	to	IN
cord-239632-dyvhzvmm	117	9	peak	peak	JJ
cord-239632-dyvhzvmm	117	10	infections	infection	NNS
cord-239632-dyvhzvmm	117	11	in	in	IN
cord-239632-dyvhzvmm	117	12	both	both	DT
cord-239632-dyvhzvmm	117	13	age	age	NN
cord-239632-dyvhzvmm	117	14	groups	group	NNS
cord-239632-dyvhzvmm	117	15	.	.	.
cord-239632-dyvhzvmm	118	1	Figure	figure	NN
cord-239632-dyvhzvmm	118	2	7	7	CD
cord-239632-dyvhzvmm	118	3	:	:	:
cord-239632-dyvhzvmm	119	1	Deaths	death	NNS
cord-239632-dyvhzvmm	119	2	as	as	IN
cord-239632-dyvhzvmm	119	3	a	a	DT
cord-239632-dyvhzvmm	119	4	function	function	NN
cord-239632-dyvhzvmm	119	5	of	of	IN
cord-239632-dyvhzvmm	119	6	time	time	NN
cord-239632-dyvhzvmm	119	7	for	for	IN
cord-239632-dyvhzvmm	119	8	two	two	CD
cord-239632-dyvhzvmm	119	9	age	age	NN
cord-239632-dyvhzvmm	119	10	groups	group	NNS
cord-239632-dyvhzvmm	119	11	(	(	-LRB-
cord-239632-dyvhzvmm	119	12	0	0	CD
cord-239632-dyvhzvmm	119	13	−	−	NNP
cord-239632-dyvhzvmm	119	14	49	49	CD
cord-239632-dyvhzvmm	119	15	)	)	-RRB-
cord-239632-dyvhzvmm	119	16	and	and	CC
cord-239632-dyvhzvmm	119	17	50	50	CD
cord-239632-dyvhzvmm	119	18	+	+	CD
cord-239632-dyvhzvmm	120	1	where	where	WRB
cord-239632-dyvhzvmm	120	2	there	there	EX
cord-239632-dyvhzvmm	120	3	is	be	VBZ
cord-239632-dyvhzvmm	120	4	a	a	DT
cord-239632-dyvhzvmm	120	5	nondiagonal	nondiagonal	JJ
cord-239632-dyvhzvmm	120	6	contact	contact	NN
cord-239632-dyvhzvmm	120	7	matrix	matrix	NN
cord-239632-dyvhzvmm	120	8	in	in	IN
cord-239632-dyvhzvmm	120	9	the	the	DT
cord-239632-dyvhzvmm	120	10	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	120	11	model	model	NN
cord-239632-dyvhzvmm	120	12	describing	describe	VBG
cord-239632-dyvhzvmm	120	13	the	the	DT
cord-239632-dyvhzvmm	120	14	interaction	interaction	NN
cord-239632-dyvhzvmm	120	15	between	between	IN
cord-239632-dyvhzvmm	120	16	the	the	DT
cord-239632-dyvhzvmm	120	17	two	two	CD
cord-239632-dyvhzvmm	120	18	age	age	NN
cord-239632-dyvhzvmm	120	19	groups	group	NNS
cord-239632-dyvhzvmm	120	20	during	during	IN
cord-239632-dyvhzvmm	120	21	the	the	DT
cord-239632-dyvhzvmm	120	22	pandemic	pandemic	NN
cord-239632-dyvhzvmm	120	23	.	.	.
cord-239632-dyvhzvmm	121	1	Note	note	VB
cord-239632-dyvhzvmm	121	2	the	the	DT
cord-239632-dyvhzvmm	121	3	older	old	JJR
cord-239632-dyvhzvmm	121	4	age	age	NN
cord-239632-dyvhzvmm	121	5	group	group	NN
cord-239632-dyvhzvmm	121	6	leads	lead	VBZ
cord-239632-dyvhzvmm	121	7	to	to	IN
cord-239632-dyvhzvmm	121	8	far	far	RB
cord-239632-dyvhzvmm	121	9	more	more	JJR
cord-239632-dyvhzvmm	121	10	deaths	death	NNS
cord-239632-dyvhzvmm	121	11	than	than	IN
cord-239632-dyvhzvmm	121	12	the	the	DT
cord-239632-dyvhzvmm	121	13	younger	young	JJR
cord-239632-dyvhzvmm	121	14	age	age	NN
cord-239632-dyvhzvmm	121	15	group	group	NN
cord-239632-dyvhzvmm	121	16	due	due	IN
cord-239632-dyvhzvmm	121	17	to	to	IN
cord-239632-dyvhzvmm	121	18	the	the	DT
cord-239632-dyvhzvmm	121	19	higher	high	JJR
cord-239632-dyvhzvmm	121	20	mortality	mortality	NN
cord-239632-dyvhzvmm	121	21	rate	rate	NN
cord-239632-dyvhzvmm	121	22	in	in	IN
cord-239632-dyvhzvmm	121	23	the	the	DT
cord-239632-dyvhzvmm	121	24	older	old	JJR
cord-239632-dyvhzvmm	121	25	age	age	NN
cord-239632-dyvhzvmm	121	26	group	group	NN
cord-239632-dyvhzvmm	121	27	.	.	.
cord-239632-dyvhzvmm	122	1	In	in	IN
cord-239632-dyvhzvmm	122	2	this	this	DT
cord-239632-dyvhzvmm	122	3	section	section	NN
cord-239632-dyvhzvmm	122	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	122	5	consider	consider	VBP
cord-239632-dyvhzvmm	122	6	a	a	DT
cord-239632-dyvhzvmm	122	7	simple	simple	JJ
cord-239632-dyvhzvmm	122	8	three	three	CD
cord-239632-dyvhzvmm	122	9	compartment	compartment	NN
cord-239632-dyvhzvmm	122	10	model	model	NN
cord-239632-dyvhzvmm	122	11	involving	involve	VBG
cord-239632-dyvhzvmm	122	12	three	three	CD
cord-239632-dyvhzvmm	122	13	countries	country	NNS
cord-239632-dyvhzvmm	122	14	involved	involve	VBN
cord-239632-dyvhzvmm	122	15	in	in	IN
cord-239632-dyvhzvmm	122	16	virus	virus	NN
cord-239632-dyvhzvmm	122	17	spreading	spread	VBG
cord-239632-dyvhzvmm	122	18	.	.	.
cord-239632-dyvhzvmm	123	1	In	in	IN
cord-239632-dyvhzvmm	123	2	country	country	NN
cord-239632-dyvhzvmm	123	3	1	1	CD
cord-239632-dyvhzvmm	123	4	the	the	DT
cord-239632-dyvhzvmm	123	5	virus	virus	NN
cord-239632-dyvhzvmm	123	6	starts	start	VBZ
cord-239632-dyvhzvmm	123	7	an	an	DT
cord-239632-dyvhzvmm	123	8	exponential	exponential	JJ
cord-239632-dyvhzvmm	123	9	growth	growth	NN
cord-239632-dyvhzvmm	123	10	pattern	pattern	NN
cord-239632-dyvhzvmm	123	11	.	.	.
cord-239632-dyvhzvmm	124	1	Travel	travel	NN
cord-239632-dyvhzvmm	124	2	between	between	IN
cord-239632-dyvhzvmm	124	3	country	country	NN
cord-239632-dyvhzvmm	124	4	1	1	CD
cord-239632-dyvhzvmm	124	5	and	and	CC
cord-239632-dyvhzvmm	124	6	country	country	NN
cord-239632-dyvhzvmm	124	7	2	2	CD
cord-239632-dyvhzvmm	124	8	takes	take	VBZ
cord-239632-dyvhzvmm	124	9	place	place	NN
cord-239632-dyvhzvmm	124	10	,	,	,
cord-239632-dyvhzvmm	124	11	followed	follow	VBD
cord-239632-dyvhzvmm	124	12	at	at	IN
cord-239632-dyvhzvmm	124	13	a	a	DT
cord-239632-dyvhzvmm	124	14	later	later	JJ
cord-239632-dyvhzvmm	124	15	date	date	NN
cord-239632-dyvhzvmm	124	16	by	by	IN
cord-239632-dyvhzvmm	124	17	travel	travel	NN
cord-239632-dyvhzvmm	124	18	from	from	IN
cord-239632-dyvhzvmm	124	19	country	country	NN
cord-239632-dyvhzvmm	124	20	2	2	CD
cord-239632-dyvhzvmm	124	21	to	to	IN
cord-239632-dyvhzvmm	124	22	3	3	CD
cord-239632-dyvhzvmm	124	23	.	.	.
cord-239632-dyvhzvmm	125	1	The	the	DT
cord-239632-dyvhzvmm	125	2	three	three	CD
cord-239632-dyvhzvmm	125	3	country	country	NN
cord-239632-dyvhzvmm	125	4	model	model	NN
cord-239632-dyvhzvmm	125	5	can	can	MD
cord-239632-dyvhzvmm	125	6	be	be	VB
cord-239632-dyvhzvmm	125	7	described	describe	VBN
cord-239632-dyvhzvmm	125	8	by	by	IN
cord-239632-dyvhzvmm	125	9	the	the	DT
cord-239632-dyvhzvmm	125	10	twelve	twelve	CD
cord-239632-dyvhzvmm	125	11	compartment	compartment	NN
cord-239632-dyvhzvmm	125	12	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	125	13	model	model	NN
cord-239632-dyvhzvmm	125	14	:	:	:
cord-239632-dyvhzvmm	125	15	with	with	IN
cord-239632-dyvhzvmm	125	16	contact	contact	NN
cord-239632-dyvhzvmm	125	17	matrix	matrix	NN
cord-239632-dyvhzvmm	125	18	between	between	IN
cord-239632-dyvhzvmm	125	19	the	the	DT
cord-239632-dyvhzvmm	125	20	countries	country	NNS
cord-239632-dyvhzvmm	125	21	given	give	VBN
cord-239632-dyvhzvmm	125	22	by	by	IN
cord-239632-dyvhzvmm	125	23	the	the	DT
cord-239632-dyvhzvmm	125	24	three	three	CD
cord-239632-dyvhzvmm	125	25	by	by	IN
cord-239632-dyvhzvmm	125	26	three	three	CD
cord-239632-dyvhzvmm	125	27	matrix	matrix	NN
cord-239632-dyvhzvmm	125	28	which	which	WDT
cord-239632-dyvhzvmm	125	29	we	-PRON-	PRP
cord-239632-dyvhzvmm	125	30	take	take	VBP
cord-239632-dyvhzvmm	125	31	to	to	TO
cord-239632-dyvhzvmm	125	32	be	be	VB
cord-239632-dyvhzvmm	125	33	:	:	:
cord-239632-dyvhzvmm	125	34	Other	other	JJ
cord-239632-dyvhzvmm	125	35	parameters	parameter	NNS
cord-239632-dyvhzvmm	125	36	we	-PRON-	PRP
cord-239632-dyvhzvmm	125	37	use	use	VBP
cord-239632-dyvhzvmm	125	38	in	in	IN
cord-239632-dyvhzvmm	125	39	the	the	DT
cord-239632-dyvhzvmm	125	40	simulation	simulation	NN
cord-239632-dyvhzvmm	125	41	are	be	VBP
cord-239632-dyvhzvmm	125	42	:	:	:
cord-239632-dyvhzvmm	126	1	With	with	IN
cord-239632-dyvhzvmm	126	2	these	these	DT
cord-239632-dyvhzvmm	126	3	parameters	parameter	NNS
cord-239632-dyvhzvmm	126	4	and	and	CC
cord-239632-dyvhzvmm	126	5	also	also	RB
cord-239632-dyvhzvmm	126	6	multiplying	multiply	VBG
cord-239632-dyvhzvmm	126	7	the	the	DT
cord-239632-dyvhzvmm	126	8	contact	contact	NN
cord-239632-dyvhzvmm	126	9	matrix	matrix	NN
cord-239632-dyvhzvmm	126	10	with	with	IN
cord-239632-dyvhzvmm	126	11	a	a	DT
cord-239632-dyvhzvmm	126	12	smoothed	smooth	VBN
cord-239632-dyvhzvmm	126	13	out	out	RP
cord-239632-dyvhzvmm	126	14	step	step	NN
cord-239632-dyvhzvmm	126	15	function	function	NN
cord-239632-dyvhzvmm	126	16	to	to	TO
cord-239632-dyvhzvmm	126	17	model	model	VB
cord-239632-dyvhzvmm	126	18	time	time	NN
cord-239632-dyvhzvmm	126	19	delay	delay	NN
cord-239632-dyvhzvmm	126	20	in	in	IN
cord-239632-dyvhzvmm	126	21	establishing	establish	VBG
cord-239632-dyvhzvmm	126	22	contact	contact	NN
cord-239632-dyvhzvmm	126	23	between	between	IN
cord-239632-dyvhzvmm	126	24	the	the	DT
cord-239632-dyvhzvmm	126	25	countries	country	NNS
cord-239632-dyvhzvmm	126	26	we	-PRON-	PRP
cord-239632-dyvhzvmm	126	27	obtain	obtain	VBP
cord-239632-dyvhzvmm	126	28	the	the	DT
cord-239632-dyvhzvmm	126	29	results	result	NNS
cord-239632-dyvhzvmm	126	30	for	for	IN
cord-239632-dyvhzvmm	126	31	infections	infection	NNS
cord-239632-dyvhzvmm	126	32	in	in	IN
cord-239632-dyvhzvmm	126	33	figure	figure	NN
cord-239632-dyvhzvmm	126	34	8	8	CD
cord-239632-dyvhzvmm	126	35	and	and	CC
cord-239632-dyvhzvmm	126	36	deaths	death	NNS
cord-239632-dyvhzvmm	126	37	figure	figure	VBP
cord-239632-dyvhzvmm	126	38	9	9	CD
cord-239632-dyvhzvmm	126	39	.	.	.
cord-239632-dyvhzvmm	127	1	Note	note	VB
cord-239632-dyvhzvmm	127	2	that	that	IN
cord-239632-dyvhzvmm	127	3	when	when	WRB
cord-239632-dyvhzvmm	127	4	the	the	DT
cord-239632-dyvhzvmm	127	5	first	first	JJ
cord-239632-dyvhzvmm	127	6	country	country	NN
cord-239632-dyvhzvmm	127	7	has	have	VBZ
cord-239632-dyvhzvmm	127	8	contact	contact	NN
cord-239632-dyvhzvmm	127	9	with	with	IN
cord-239632-dyvhzvmm	127	10	the	the	DT
cord-239632-dyvhzvmm	127	11	second	second	JJ
cord-239632-dyvhzvmm	127	12	the	the	DT
cord-239632-dyvhzvmm	127	13	infections	infection	NNS
cord-239632-dyvhzvmm	127	14	in	in	IN
cord-239632-dyvhzvmm	127	15	country	country	NN
cord-239632-dyvhzvmm	127	16	1	1	CD
cord-239632-dyvhzvmm	127	17	have	have	VBP
cord-239632-dyvhzvmm	127	18	dropped	drop	VBN
cord-239632-dyvhzvmm	127	19	substantially	substantially	RB
cord-239632-dyvhzvmm	127	20	nevertheless	nevertheless	RB
cord-239632-dyvhzvmm	127	21	there	there	EX
cord-239632-dyvhzvmm	127	22	were	be	VBD
cord-239632-dyvhzvmm	127	23	enough	enough	JJ
cord-239632-dyvhzvmm	127	24	cases	case	NNS
cord-239632-dyvhzvmm	127	25	to	to	TO
cord-239632-dyvhzvmm	127	26	continue	continue	VB
cord-239632-dyvhzvmm	127	27	the	the	DT
cord-239632-dyvhzvmm	127	28	pandemic	pandemic	NN
cord-239632-dyvhzvmm	127	29	into	into	IN
cord-239632-dyvhzvmm	127	30	country	country	NN
cord-239632-dyvhzvmm	127	31	2	2	CD
cord-239632-dyvhzvmm	127	32	.	.	.
cord-239632-dyvhzvmm	128	1	The	the	DT
cord-239632-dyvhzvmm	128	2	same	same	JJ
cord-239632-dyvhzvmm	128	3	scenario	scenario	NN
cord-239632-dyvhzvmm	128	4	then	then	RB
cord-239632-dyvhzvmm	128	5	repeats	repeat	VBZ
cord-239632-dyvhzvmm	128	6	itself	-PRON-	PRP
cord-239632-dyvhzvmm	128	7	after	after	IN
cord-239632-dyvhzvmm	128	8	country	country	NN
cord-239632-dyvhzvmm	128	9	2	2	CD
cord-239632-dyvhzvmm	128	10	's	's	POS
cord-239632-dyvhzvmm	128	11	infections	infection	NNS
cord-239632-dyvhzvmm	128	12	go	go	VBP
cord-239632-dyvhzvmm	128	13	down	down	RB
cord-239632-dyvhzvmm	128	14	and	and	CC
cord-239632-dyvhzvmm	128	15	contact	contact	NN
cord-239632-dyvhzvmm	128	16	starts	start	NNS
cord-239632-dyvhzvmm	128	17	between	between	IN
cord-239632-dyvhzvmm	128	18	country	country	NN
cord-239632-dyvhzvmm	128	19	2	2	CD
cord-239632-dyvhzvmm	128	20	and	and	CC
cord-239632-dyvhzvmm	128	21	country	country	NN
cord-239632-dyvhzvmm	128	22	3	3	CD
cord-239632-dyvhzvmm	128	23	.	.	.
cord-239632-dyvhzvmm	129	1	The	the	DT
cord-239632-dyvhzvmm	129	2	same	same	JJ
cord-239632-dyvhzvmm	129	3	step	step	NN
cord-239632-dyvhzvmm	129	4	like	like	IN
cord-239632-dyvhzvmm	129	5	effect	effect	NN
cord-239632-dyvhzvmm	129	6	can	can	MD
cord-239632-dyvhzvmm	129	7	be	be	VB
cord-239632-dyvhzvmm	129	8	seen	see	VBN
cord-239632-dyvhzvmm	129	9	in	in	IN
cord-239632-dyvhzvmm	129	10	deaths	death	NNS
cord-239632-dyvhzvmm	129	11	in	in	IN
cord-239632-dyvhzvmm	129	12	figure	figure	NN
cord-239632-dyvhzvmm	129	13	9	9	CD
cord-239632-dyvhzvmm	129	14	where	where	WRB
cord-239632-dyvhzvmm	129	15	deaths	death	NNS
cord-239632-dyvhzvmm	129	16	in	in	IN
cord-239632-dyvhzvmm	129	17	country	country	NN
cord-239632-dyvhzvmm	129	18	2	2	CD
cord-239632-dyvhzvmm	129	19	pick	pick	VBP
cord-239632-dyvhzvmm	129	20	up	up	RP
cord-239632-dyvhzvmm	129	21	after	after	IN
cord-239632-dyvhzvmm	129	22	contact	contact	NN
cord-239632-dyvhzvmm	129	23	is	be	VBZ
cord-239632-dyvhzvmm	129	24	initiated	initiate	VBN
cord-239632-dyvhzvmm	129	25	with	with	IN
cord-239632-dyvhzvmm	129	26	the	the	DT
cord-239632-dyvhzvmm	129	27	initial	initial	JJ
cord-239632-dyvhzvmm	129	28	infection	infection	NN
cord-239632-dyvhzvmm	129	29	in	in	IN
cord-239632-dyvhzvmm	129	30	country	country	NN
cord-239632-dyvhzvmm	129	31	1	1	CD
cord-239632-dyvhzvmm	129	32	with	with	IN
cord-239632-dyvhzvmm	129	33	the	the	DT
cord-239632-dyvhzvmm	129	34	same	same	JJ
cord-239632-dyvhzvmm	129	35	scenario	scenario	NN
cord-239632-dyvhzvmm	129	36	continuing	continue	VBG
cord-239632-dyvhzvmm	129	37	between	between	IN
cord-239632-dyvhzvmm	129	38	country	country	NN
cord-239632-dyvhzvmm	129	39	2	2	CD
cord-239632-dyvhzvmm	129	40	and	and	CC
cord-239632-dyvhzvmm	129	41	3	3	CD
cord-239632-dyvhzvmm	129	42	.	.	.
cord-239632-dyvhzvmm	130	1	Note	note	VB
cord-239632-dyvhzvmm	130	2	the	the	DT
cord-239632-dyvhzvmm	130	3	three	three	CD
cord-239632-dyvhzvmm	130	4	separate	separate	JJ
cord-239632-dyvhzvmm	130	5	peaks	peak	NNS
cord-239632-dyvhzvmm	130	6	in	in	IN
cord-239632-dyvhzvmm	130	7	the	the	DT
cord-239632-dyvhzvmm	130	8	number	number	NN
cord-239632-dyvhzvmm	130	9	of	of	IN
cord-239632-dyvhzvmm	130	10	infections	infection	NNS
cord-239632-dyvhzvmm	130	11	which	which	WDT
cord-239632-dyvhzvmm	130	12	arise	arise	VBP
cord-239632-dyvhzvmm	130	13	when	when	WRB
cord-239632-dyvhzvmm	130	14	travel	travel	NN
cord-239632-dyvhzvmm	130	15	restrictions	restriction	NNS
cord-239632-dyvhzvmm	130	16	are	be	VBP
cord-239632-dyvhzvmm	130	17	eased	ease	VBN
cord-239632-dyvhzvmm	130	18	between	between	IN
cord-239632-dyvhzvmm	130	19	countries	country	NNS
cord-239632-dyvhzvmm	130	20	and	and	CC
cord-239632-dyvhzvmm	130	21	the	the	DT
cord-239632-dyvhzvmm	130	22	stair	stair	NN
cord-239632-dyvhzvmm	130	23	like	like	IN
cord-239632-dyvhzvmm	130	24	structure	structure	NN
cord-239632-dyvhzvmm	130	25	in	in	IN
cord-239632-dyvhzvmm	130	26	the	the	DT
cord-239632-dyvhzvmm	130	27	number	number	NN
cord-239632-dyvhzvmm	130	28	of	of	IN
cord-239632-dyvhzvmm	130	29	deaths	death	NNS
cord-239632-dyvhzvmm	130	30	as	as	IN
cord-239632-dyvhzvmm	130	31	the	the	DT
cord-239632-dyvhzvmm	130	32	pandemic	pandemic	NN
cord-239632-dyvhzvmm	130	33	moves	move	NNS
cord-239632-dyvhzvmm	130	34	between	between	IN
cord-239632-dyvhzvmm	130	35	the	the	DT
cord-239632-dyvhzvmm	130	36	countries	country	NNS
cord-239632-dyvhzvmm	130	37	.	.	.
cord-239632-dyvhzvmm	131	1	The	the	DT
cord-239632-dyvhzvmm	131	2	number	number	NN
cord-239632-dyvhzvmm	131	3	of	of	IN
cord-239632-dyvhzvmm	131	4	deaths	death	NNS
cord-239632-dyvhzvmm	131	5	occurring	occur	VBG
cord-239632-dyvhzvmm	131	6	assuming	assume	VBG
cord-239632-dyvhzvmm	131	7	each	each	DT
cord-239632-dyvhzvmm	131	8	country	country	NN
cord-239632-dyvhzvmm	131	9	has	have	VBZ
cord-239632-dyvhzvmm	131	10	a	a	DT
cord-239632-dyvhzvmm	131	11	population	population	NN
cord-239632-dyvhzvmm	131	12	of	of	IN
cord-239632-dyvhzvmm	131	13	100,000	100,000	CD
cord-239632-dyvhzvmm	131	14	is	be	VBZ
cord-239632-dyvhzvmm	131	15	1356	1356	CD
cord-239632-dyvhzvmm	131	16	per	per	IN
cord-239632-dyvhzvmm	131	17	country	country	NN
cord-239632-dyvhzvmm	131	18	for	for	IN
cord-239632-dyvhzvmm	131	19	a	a	DT
cord-239632-dyvhzvmm	131	20	total	total	JJ
cord-239632-dyvhzvmm	131	21	4068	4068	CD
cord-239632-dyvhzvmm	131	22	deaths	death	NNS
cord-239632-dyvhzvmm	131	23	for	for	IN
cord-239632-dyvhzvmm	131	24	the	the	DT
cord-239632-dyvhzvmm	131	25	total	total	JJ
cord-239632-dyvhzvmm	131	26	population	population	NN
cord-239632-dyvhzvmm	131	27	of	of	IN
cord-239632-dyvhzvmm	131	28	the	the	DT
cord-239632-dyvhzvmm	131	29	three	three	CD
cord-239632-dyvhzvmm	131	30	countries	country	NNS
cord-239632-dyvhzvmm	131	31	of	of	IN
cord-239632-dyvhzvmm	131	32	300,000	300,000	CD
cord-239632-dyvhzvmm	131	33	.	.	.
cord-239632-dyvhzvmm	132	1	This	this	DT
cord-239632-dyvhzvmm	132	2	is	be	VBZ
cord-239632-dyvhzvmm	132	3	also	also	RB
cord-239632-dyvhzvmm	132	4	a	a	DT
cord-239632-dyvhzvmm	132	5	dramatic	dramatic	JJ
cord-239632-dyvhzvmm	132	6	illustration	illustration	NN
cord-239632-dyvhzvmm	132	7	of	of	IN
cord-239632-dyvhzvmm	132	8	the	the	DT
cord-239632-dyvhzvmm	132	9	effect	effect	NN
cord-239632-dyvhzvmm	132	10	of	of	IN
cord-239632-dyvhzvmm	132	11	contact	contact	NN
cord-239632-dyvhzvmm	132	12	matrix	matrix	NN
cord-239632-dyvhzvmm	132	13	in	in	IN
cord-239632-dyvhzvmm	132	14	this	this	DT
cord-239632-dyvhzvmm	132	15	case	case	NN
cord-239632-dyvhzvmm	132	16	between	between	IN
cord-239632-dyvhzvmm	132	17	countries	country	NNS
cord-239632-dyvhzvmm	132	18	in	in	IN
cord-239632-dyvhzvmm	132	19	pandemic	pandemic	NN
cord-239632-dyvhzvmm	132	20	modeling	modeling	NN
cord-239632-dyvhzvmm	132	21	.	.	.
cord-239632-dyvhzvmm	133	1	Again	again	RB
cord-239632-dyvhzvmm	133	2	it	-PRON-	PRP
cord-239632-dyvhzvmm	133	3	is	be	VBZ
cord-239632-dyvhzvmm	133	4	important	important	JJ
cord-239632-dyvhzvmm	133	5	to	to	TO
cord-239632-dyvhzvmm	133	6	note	note	VB
cord-239632-dyvhzvmm	133	7	in	in	IN
cord-239632-dyvhzvmm	133	8	the	the	DT
cord-239632-dyvhzvmm	133	9	early	early	JJ
cord-239632-dyvhzvmm	133	10	phase	phase	NN
cord-239632-dyvhzvmm	133	11	of	of	IN
cord-239632-dyvhzvmm	133	12	a	a	DT
cord-239632-dyvhzvmm	133	13	pandemic	pandemic	NN
cord-239632-dyvhzvmm	133	14	such	such	JJ
cord-239632-dyvhzvmm	133	15	from	from	IN
cord-239632-dyvhzvmm	133	16	COVID-19	COVID-19	NNP
cord-239632-dyvhzvmm	133	17	the	the	DT
cord-239632-dyvhzvmm	133	18	model	model	NN
cord-239632-dyvhzvmm	133	19	parameters	parameter	NNS
cord-239632-dyvhzvmm	133	20	are	be	VBP
cord-239632-dyvhzvmm	133	21	not	not	RB
cord-239632-dyvhzvmm	133	22	known	know	VBN
cord-239632-dyvhzvmm	133	23	accurately	accurately	RB
cord-239632-dyvhzvmm	133	24	.	.	.
cord-239632-dyvhzvmm	134	1	For	for	IN
cord-239632-dyvhzvmm	134	2	the	the	DT
cord-239632-dyvhzvmm	134	3	simulation	simulation	NN
cord-239632-dyvhzvmm	134	4	results	result	NNS
cord-239632-dyvhzvmm	134	5	shown	show	VBN
cord-239632-dyvhzvmm	134	6	figure	figure	NN
cord-239632-dyvhzvmm	134	7	8	8	CD
cord-239632-dyvhzvmm	134	8	increasing	increase	VBG
cord-239632-dyvhzvmm	134	9	β	β	XX
cord-239632-dyvhzvmm	134	10	by	by	IN
cord-239632-dyvhzvmm	134	11	10	10	CD
cord-239632-dyvhzvmm	134	12	percent	percent	NN
cord-239632-dyvhzvmm	134	13	lead	lead	NN
cord-239632-dyvhzvmm	134	14	to	to	IN
cord-239632-dyvhzvmm	134	15	a	a	DT
cord-239632-dyvhzvmm	134	16	peak	peak	NN
cord-239632-dyvhzvmm	134	17	in	in	IN
cord-239632-dyvhzvmm	134	18	infection	infection	NN
cord-239632-dyvhzvmm	134	19	in	in	IN
cord-239632-dyvhzvmm	134	20	the	the	DT
cord-239632-dyvhzvmm	134	21	first	first	JJ
cord-239632-dyvhzvmm	134	22	country	country	NN
cord-239632-dyvhzvmm	134	23	increasing	increase	VBG
cord-239632-dyvhzvmm	134	24	from	from	IN
cord-239632-dyvhzvmm	134	25	19,560	19,560	CD
cord-239632-dyvhzvmm	134	26	to	to	IN
cord-239632-dyvhzvmm	134	27	23,020	23,020	CD
cord-239632-dyvhzvmm	134	28	,	,	,
cord-239632-dyvhzvmm	134	29	an	an	DT
cord-239632-dyvhzvmm	134	30	increase	increase	NN
cord-239632-dyvhzvmm	134	31	the	the	DT
cord-239632-dyvhzvmm	134	32	peak	peak	NN
cord-239632-dyvhzvmm	134	33	in	in	IN
cord-239632-dyvhzvmm	134	34	the	the	DT
cord-239632-dyvhzvmm	134	35	second	second	JJ
cord-239632-dyvhzvmm	134	36	country	country	NN
cord-239632-dyvhzvmm	134	37	from	from	IN
cord-239632-dyvhzvmm	134	38	19,630	19,630	CD
cord-239632-dyvhzvmm	134	39	to	to	TO
cord-239632-dyvhzvmm	134	40	23,030	23,030	CD
cord-239632-dyvhzvmm	134	41	,	,	,
cord-239632-dyvhzvmm	134	42	and	and	CC
cord-239632-dyvhzvmm	134	43	an	an	DT
cord-239632-dyvhzvmm	134	44	increase	increase	NN
cord-239632-dyvhzvmm	134	45	the	the	DT
cord-239632-dyvhzvmm	134	46	peak	peak	NN
cord-239632-dyvhzvmm	134	47	in	in	IN
cord-239632-dyvhzvmm	134	48	the	the	DT
cord-239632-dyvhzvmm	134	49	third	third	JJ
cord-239632-dyvhzvmm	134	50	country	country	NN
cord-239632-dyvhzvmm	134	51	from	from	IN
cord-239632-dyvhzvmm	134	52	19,630	19,630	CD
cord-239632-dyvhzvmm	134	53	to	to	IN
cord-239632-dyvhzvmm	134	54	23,025	23,025	CD
cord-239632-dyvhzvmm	134	55	.	.	.
cord-239632-dyvhzvmm	135	1	Decreasing	decrease	VBG
cord-239632-dyvhzvmm	135	2	β	β	XX
cord-239632-dyvhzvmm	135	3	by	by	IN
cord-239632-dyvhzvmm	135	4	ten	ten	CD
cord-239632-dyvhzvmm	135	5	percent	percent	NN
cord-239632-dyvhzvmm	135	6	lead	lead	NN
cord-239632-dyvhzvmm	135	7	to	to	IN
cord-239632-dyvhzvmm	135	8	a	a	DT
cord-239632-dyvhzvmm	135	9	peak	peak	NN
cord-239632-dyvhzvmm	135	10	in	in	IN
cord-239632-dyvhzvmm	135	11	infection	infection	NN
cord-239632-dyvhzvmm	135	12	in	in	IN
cord-239632-dyvhzvmm	135	13	the	the	DT
cord-239632-dyvhzvmm	135	14	first	first	JJ
cord-239632-dyvhzvmm	135	15	country	country	NN
cord-239632-dyvhzvmm	135	16	with	with	IN
cord-239632-dyvhzvmm	135	17	a	a	DT
cord-239632-dyvhzvmm	135	18	decrease	decrease	NN
cord-239632-dyvhzvmm	135	19	from	from	IN
cord-239632-dyvhzvmm	135	20	19,960	19,960	CD
cord-239632-dyvhzvmm	135	21	to	to	IN
cord-239632-dyvhzvmm	135	22	18,800	18,800	CD
cord-239632-dyvhzvmm	135	23	,	,	,
cord-239632-dyvhzvmm	135	24	a	a	DT
cord-239632-dyvhzvmm	135	25	decrease	decrease	NN
cord-239632-dyvhzvmm	135	26	in	in	IN
cord-239632-dyvhzvmm	135	27	the	the	DT
cord-239632-dyvhzvmm	135	28	peak	peak	NN
cord-239632-dyvhzvmm	135	29	in	in	IN
cord-239632-dyvhzvmm	135	30	the	the	DT
cord-239632-dyvhzvmm	135	31	second	second	JJ
cord-239632-dyvhzvmm	135	32	country	country	NN
cord-239632-dyvhzvmm	135	33	from	from	IN
cord-239632-dyvhzvmm	135	34	19,630	19,630	CD
cord-239632-dyvhzvmm	135	35	to	to	TO
cord-239632-dyvhzvmm	135	36	16,000	16,000	CD
cord-239632-dyvhzvmm	135	37	and	and	CC
cord-239632-dyvhzvmm	135	38	a	a	DT
cord-239632-dyvhzvmm	135	39	decrease	decrease	NN
cord-239632-dyvhzvmm	135	40	in	in	IN
cord-239632-dyvhzvmm	135	41	the	the	DT
cord-239632-dyvhzvmm	135	42	peak	peak	NN
cord-239632-dyvhzvmm	135	43	in	in	IN
cord-239632-dyvhzvmm	135	44	the	the	DT
cord-239632-dyvhzvmm	135	45	third	third	JJ
cord-239632-dyvhzvmm	135	46	country	country	NN
cord-239632-dyvhzvmm	135	47	from	from	IN
cord-239632-dyvhzvmm	135	48	19,630	19,630	CD
cord-239632-dyvhzvmm	135	49	to	to	TO
cord-239632-dyvhzvmm	135	50	16,000	16,000	CD
cord-239632-dyvhzvmm	135	51	as	as	RB
cord-239632-dyvhzvmm	135	52	well	well	RB
cord-239632-dyvhzvmm	135	53	.	.	.
cord-239632-dyvhzvmm	136	1	For	for	IN
cord-239632-dyvhzvmm	136	2	the	the	DT
cord-239632-dyvhzvmm	136	3	simulation	simulation	NN
cord-239632-dyvhzvmm	136	4	results	result	NNS
cord-239632-dyvhzvmm	136	5	in	in	IN
cord-239632-dyvhzvmm	136	6	figure	figure	NN
cord-239632-dyvhzvmm	136	7	 	 	_SP
cord-239632-dyvhzvmm	136	8	9	9	CD
cord-239632-dyvhzvmm	136	9	increasing	increase	VBG
cord-239632-dyvhzvmm	136	10	β	β	XX
cord-239632-dyvhzvmm	136	11	by	by	IN
cord-239632-dyvhzvmm	136	12	10	10	CD
cord-239632-dyvhzvmm	136	13	percent	percent	NN
cord-239632-dyvhzvmm	136	14	lead	lead	NN
cord-239632-dyvhzvmm	136	15	to	to	IN
cord-239632-dyvhzvmm	136	16	deaths	death	NNS
cord-239632-dyvhzvmm	136	17	in	in	IN
cord-239632-dyvhzvmm	136	18	the	the	DT
cord-239632-dyvhzvmm	136	19	first	first	JJ
cord-239632-dyvhzvmm	136	20	country	country	NN
cord-239632-dyvhzvmm	136	21	increasing	increase	VBG
cord-239632-dyvhzvmm	136	22	from	from	IN
cord-239632-dyvhzvmm	136	23	1350	1350	CD
cord-239632-dyvhzvmm	136	24	to	to	IN
cord-239632-dyvhzvmm	136	25	1445	1445	CD
cord-239632-dyvhzvmm	136	26	,	,	,
cord-239632-dyvhzvmm	136	27	an	an	DT
cord-239632-dyvhzvmm	136	28	increase	increase	NN
cord-239632-dyvhzvmm	136	29	in	in	IN
cord-239632-dyvhzvmm	136	30	deaths	death	NNS
cord-239632-dyvhzvmm	136	31	in	in	IN
cord-239632-dyvhzvmm	136	32	the	the	DT
cord-239632-dyvhzvmm	136	33	second	second	JJ
cord-239632-dyvhzvmm	136	34	country	country	NN
cord-239632-dyvhzvmm	136	35	from	from	IN
cord-239632-dyvhzvmm	136	36	1387	1387	CD
cord-239632-dyvhzvmm	136	37	to	to	IN
cord-239632-dyvhzvmm	136	38	1445	1445	CD
cord-239632-dyvhzvmm	136	39	,	,	,
cord-239632-dyvhzvmm	136	40	and	and	CC
cord-239632-dyvhzvmm	136	41	an	an	DT
cord-239632-dyvhzvmm	136	42	increase	increase	NN
cord-239632-dyvhzvmm	136	43	in	in	IN
cord-239632-dyvhzvmm	136	44	the	the	DT
cord-239632-dyvhzvmm	136	45	deaths	death	NNS
cord-239632-dyvhzvmm	136	46	in	in	IN
cord-239632-dyvhzvmm	136	47	the	the	DT
cord-239632-dyvhzvmm	136	48	third	third	JJ
cord-239632-dyvhzvmm	136	49	country	country	NN
cord-239632-dyvhzvmm	136	50	from	from	IN
cord-239632-dyvhzvmm	136	51	1387	1387	CD
cord-239632-dyvhzvmm	136	52	to	to	IN
cord-239632-dyvhzvmm	136	53	1417	1417	CD
cord-239632-dyvhzvmm	136	54	.	.	.
cord-239632-dyvhzvmm	137	1	Decreasing	decrease	VBG
cord-239632-dyvhzvmm	137	2	β	β	XX
cord-239632-dyvhzvmm	137	3	by	by	IN
cord-239632-dyvhzvmm	137	4	ten	ten	CD
cord-239632-dyvhzvmm	137	5	percent	percent	NN
cord-239632-dyvhzvmm	137	6	lead	lead	NN
cord-239632-dyvhzvmm	137	7	to	to	IN
cord-239632-dyvhzvmm	137	8	deaths	death	NNS
cord-239632-dyvhzvmm	137	9	in	in	IN
cord-239632-dyvhzvmm	137	10	the	the	DT
cord-239632-dyvhzvmm	137	11	first	first	JJ
cord-239632-dyvhzvmm	137	12	country	country	NN
cord-239632-dyvhzvmm	137	13	to	to	TO
cord-239632-dyvhzvmm	137	14	decrease	decrease	VB
cord-239632-dyvhzvmm	137	15	from	from	IN
cord-239632-dyvhzvmm	137	16	1350	1350	CD
cord-239632-dyvhzvmm	137	17	to	to	IN
cord-239632-dyvhzvmm	137	18	1323	1323	CD
cord-239632-dyvhzvmm	137	19	,	,	,
cord-239632-dyvhzvmm	137	20	deaths	death	NNS
cord-239632-dyvhzvmm	137	21	in	in	IN
cord-239632-dyvhzvmm	137	22	the	the	DT
cord-239632-dyvhzvmm	137	23	second	second	JJ
cord-239632-dyvhzvmm	137	24	country	country	NN
cord-239632-dyvhzvmm	137	25	to	to	TO
cord-239632-dyvhzvmm	137	26	decrease	decrease	VB
cord-239632-dyvhzvmm	137	27	from	from	IN
cord-239632-dyvhzvmm	137	28	1387	1387	CD
cord-239632-dyvhzvmm	137	29	to	to	IN
cord-239632-dyvhzvmm	137	30	1324	1324	CD
cord-239632-dyvhzvmm	137	31	,	,	,
cord-239632-dyvhzvmm	137	32	and	and	CC
cord-239632-dyvhzvmm	137	33	deaths	death	NNS
cord-239632-dyvhzvmm	137	34	in	in	IN
cord-239632-dyvhzvmm	137	35	the	the	DT
cord-239632-dyvhzvmm	137	36	third	third	JJ
cord-239632-dyvhzvmm	137	37	country	country	NN
cord-239632-dyvhzvmm	137	38	to	to	TO
cord-239632-dyvhzvmm	137	39	decrease	decrease	VB
cord-239632-dyvhzvmm	137	40	from	from	IN
cord-239632-dyvhzvmm	137	41	1387	1387	CD
cord-239632-dyvhzvmm	137	42	to	to	IN
cord-239632-dyvhzvmm	137	43	1324	1324	CD
cord-239632-dyvhzvmm	137	44	as	as	RB
cord-239632-dyvhzvmm	137	45	well	well	RB
cord-239632-dyvhzvmm	137	46	.	.	.
cord-239632-dyvhzvmm	138	1	Figure	figure	NN
cord-239632-dyvhzvmm	138	2	8	8	CD
cord-239632-dyvhzvmm	138	3	:	:	:
cord-239632-dyvhzvmm	138	4	Infections	infection	NNS
cord-239632-dyvhzvmm	138	5	as	as	IN
cord-239632-dyvhzvmm	138	6	a	a	DT
cord-239632-dyvhzvmm	138	7	function	function	NN
cord-239632-dyvhzvmm	138	8	of	of	IN
cord-239632-dyvhzvmm	138	9	time	time	NN
cord-239632-dyvhzvmm	138	10	for	for	IN
cord-239632-dyvhzvmm	138	11	three	three	CD
cord-239632-dyvhzvmm	138	12	countries	country	NNS
cord-239632-dyvhzvmm	138	13	whose	whose	WP$
cord-239632-dyvhzvmm	138	14	interactions	interaction	NNS
cord-239632-dyvhzvmm	138	15	are	be	VBP
cord-239632-dyvhzvmm	138	16	described	describe	VBN
cord-239632-dyvhzvmm	138	17	by	by	IN
cord-239632-dyvhzvmm	138	18	an	an	DT
cord-239632-dyvhzvmm	138	19	nondiagonal	nondiagonal	JJ
cord-239632-dyvhzvmm	138	20	contact	contact	NN
cord-239632-dyvhzvmm	138	21	matrix	matrix	NN
cord-239632-dyvhzvmm	138	22	.	.	.
cord-239632-dyvhzvmm	139	1	Note	note	VB
cord-239632-dyvhzvmm	139	2	that	that	IN
cord-239632-dyvhzvmm	139	3	although	although	IN
cord-239632-dyvhzvmm	139	4	the	the	DT
cord-239632-dyvhzvmm	139	5	contacts	contact	NNS
cord-239632-dyvhzvmm	139	6	between	between	IN
cord-239632-dyvhzvmm	139	7	country	country	NN
cord-239632-dyvhzvmm	139	8	1	1	CD
cord-239632-dyvhzvmm	139	9	and	and	CC
cord-239632-dyvhzvmm	139	10	country	country	NN
cord-239632-dyvhzvmm	139	11	3	3	CD
cord-239632-dyvhzvmm	139	12	are	be	VBP
cord-239632-dyvhzvmm	139	13	zero	zero	CD
cord-239632-dyvhzvmm	139	14	country	country	NN
cord-239632-dyvhzvmm	139	15	3	3	CD
cord-239632-dyvhzvmm	139	16	nevertheless	nevertheless	RB
cord-239632-dyvhzvmm	139	17	becomes	become	VBZ
cord-239632-dyvhzvmm	139	18	part	part	NN
cord-239632-dyvhzvmm	139	19	of	of	IN
cord-239632-dyvhzvmm	139	20	the	the	DT
cord-239632-dyvhzvmm	139	21	pandemic	pandemic	NN
cord-239632-dyvhzvmm	139	22	because	because	IN
cord-239632-dyvhzvmm	139	23	both	both	DT
cord-239632-dyvhzvmm	139	24	countries	country	NNS
cord-239632-dyvhzvmm	139	25	1	1	CD
cord-239632-dyvhzvmm	139	26	and	and	CC
cord-239632-dyvhzvmm	139	27	3	3	CD
cord-239632-dyvhzvmm	139	28	interact	interact	VB
cord-239632-dyvhzvmm	139	29	with	with	IN
cord-239632-dyvhzvmm	139	30	country	country	NN
cord-239632-dyvhzvmm	139	31	2	2	CD
cord-239632-dyvhzvmm	139	32	.	.	.
cord-239632-dyvhzvmm	140	1	Figure	figure	NN
cord-239632-dyvhzvmm	140	2	9	9	CD
cord-239632-dyvhzvmm	140	3	:	:	:
cord-239632-dyvhzvmm	141	1	Deaths	death	NNS
cord-239632-dyvhzvmm	141	2	as	as	IN
cord-239632-dyvhzvmm	141	3	a	a	DT
cord-239632-dyvhzvmm	141	4	function	function	NN
cord-239632-dyvhzvmm	141	5	of	of	IN
cord-239632-dyvhzvmm	141	6	time	time	NN
cord-239632-dyvhzvmm	141	7	for	for	IN
cord-239632-dyvhzvmm	141	8	three	three	CD
cord-239632-dyvhzvmm	141	9	countries	country	NNS
cord-239632-dyvhzvmm	141	10	whose	whose	WP$
cord-239632-dyvhzvmm	141	11	interactions	interaction	NNS
cord-239632-dyvhzvmm	141	12	are	be	VBP
cord-239632-dyvhzvmm	141	13	described	describe	VBN
cord-239632-dyvhzvmm	141	14	by	by	IN
cord-239632-dyvhzvmm	141	15	an	an	DT
cord-239632-dyvhzvmm	141	16	nondiagonal	nondiagonal	JJ
cord-239632-dyvhzvmm	141	17	contact	contact	NN
cord-239632-dyvhzvmm	141	18	matrix	matrix	NN
cord-239632-dyvhzvmm	141	19	.	.	.
cord-239632-dyvhzvmm	142	1	Note	note	VB
cord-239632-dyvhzvmm	142	2	the	the	DT
cord-239632-dyvhzvmm	142	3	stair	stair	NN
cord-239632-dyvhzvmm	142	4	like	like	IN
cord-239632-dyvhzvmm	142	5	structure	structure	NN
cord-239632-dyvhzvmm	142	6	in	in	IN
cord-239632-dyvhzvmm	142	7	the	the	DT
cord-239632-dyvhzvmm	142	8	number	number	NN
cord-239632-dyvhzvmm	142	9	of	of	IN
cord-239632-dyvhzvmm	142	10	deaths	death	NNS
cord-239632-dyvhzvmm	142	11	as	as	IN
cord-239632-dyvhzvmm	142	12	the	the	DT
cord-239632-dyvhzvmm	142	13	pandemic	pandemic	NN
cord-239632-dyvhzvmm	142	14	moves	move	VBZ
cord-239632-dyvhzvmm	142	15	from	from	IN
cord-239632-dyvhzvmm	142	16	country	country	NN
cord-239632-dyvhzvmm	142	17	1	1	CD
cord-239632-dyvhzvmm	142	18	to	to	IN
cord-239632-dyvhzvmm	142	19	country	country	NN
cord-239632-dyvhzvmm	142	20	2	2	CD
cord-239632-dyvhzvmm	142	21	and	and	CC
cord-239632-dyvhzvmm	142	22	from	from	IN
cord-239632-dyvhzvmm	142	23	country	country	NN
cord-239632-dyvhzvmm	142	24	2	2	CD
cord-239632-dyvhzvmm	142	25	to	to	IN
cord-239632-dyvhzvmm	142	26	country	country	NN
cord-239632-dyvhzvmm	142	27	3	3	CD
cord-239632-dyvhzvmm	142	28	.	.	.
cord-239632-dyvhzvmm	143	1	There	there	EX
cord-239632-dyvhzvmm	143	2	are	be	VBP
cord-239632-dyvhzvmm	143	3	two	two	CD
cord-239632-dyvhzvmm	143	4	possible	possible	JJ
cord-239632-dyvhzvmm	143	5	effects	effect	NNS
cord-239632-dyvhzvmm	143	6	of	of	IN
cord-239632-dyvhzvmm	143	7	vaccine	vaccine	NN
cord-239632-dyvhzvmm	143	8	waning	wane	VBG
cord-239632-dyvhzvmm	143	9	in	in	IN
cord-239632-dyvhzvmm	143	10	pandemic	pandemic	NN
cord-239632-dyvhzvmm	143	11	modeling	modeling	NN
cord-239632-dyvhzvmm	143	12	.	.	.
cord-239632-dyvhzvmm	144	1	In	in	IN
cord-239632-dyvhzvmm	144	2	the	the	DT
cord-239632-dyvhzvmm	144	3	first	first	JJ
cord-239632-dyvhzvmm	144	4	case	case	NN
cord-239632-dyvhzvmm	144	5	a	a	DT
cord-239632-dyvhzvmm	144	6	vaccine	vaccine	NN
cord-239632-dyvhzvmm	144	7	is	be	VBZ
cord-239632-dyvhzvmm	144	8	developed	develop	VBN
cord-239632-dyvhzvmm	144	9	specifically	specifically	RB
cord-239632-dyvhzvmm	144	10	targeting	target	VBG
cord-239632-dyvhzvmm	144	11	the	the	DT
cord-239632-dyvhzvmm	144	12	virus	virus	NN
cord-239632-dyvhzvmm	144	13	.	.	.
cord-239632-dyvhzvmm	145	1	Like	like	IN
cord-239632-dyvhzvmm	145	2	the	the	DT
cord-239632-dyvhzvmm	145	3	seasonal	seasonal	JJ
cord-239632-dyvhzvmm	145	4	flu	flu	NN
cord-239632-dyvhzvmm	145	5	vaccine	vaccine	NN
cord-239632-dyvhzvmm	145	6	the	the	DT
cord-239632-dyvhzvmm	145	7	effectiveness	effectiveness	NN
cord-239632-dyvhzvmm	145	8	of	of	IN
cord-239632-dyvhzvmm	145	9	this	this	DT
cord-239632-dyvhzvmm	145	10	vaccine	vaccine	NN
cord-239632-dyvhzvmm	145	11	can	can	MD
cord-239632-dyvhzvmm	145	12	effectively	effectively	RB
cord-239632-dyvhzvmm	145	13	wane	wane	VB
cord-239632-dyvhzvmm	145	14	perhaps	perhaps	RB
cord-239632-dyvhzvmm	145	15	in	in	IN
cord-239632-dyvhzvmm	145	16	short	short	JJ
cord-239632-dyvhzvmm	145	17	enough	enough	JJ
cord-239632-dyvhzvmm	145	18	time	time	NN
cord-239632-dyvhzvmm	145	19	scales	scale	NNS
cord-239632-dyvhzvmm	145	20	so	so	IN
cord-239632-dyvhzvmm	145	21	that	that	IN
cord-239632-dyvhzvmm	145	22	people	people	NNS
cord-239632-dyvhzvmm	145	23	will	will	MD
cord-239632-dyvhzvmm	145	24	lose	lose	VB
cord-239632-dyvhzvmm	145	25	immunity	immunity	NN
cord-239632-dyvhzvmm	145	26	to	to	IN
cord-239632-dyvhzvmm	145	27	the	the	DT
cord-239632-dyvhzvmm	145	28	specific	specific	JJ
cord-239632-dyvhzvmm	145	29	virus	virus	NN
cord-239632-dyvhzvmm	145	30	during	during	IN
cord-239632-dyvhzvmm	145	31	the	the	DT
cord-239632-dyvhzvmm	145	32	pandemic	pandemic	NN
cord-239632-dyvhzvmm	145	33	and	and	CC
cord-239632-dyvhzvmm	145	34	will	will	MD
cord-239632-dyvhzvmm	145	35	require	require	VB
cord-239632-dyvhzvmm	145	36	a	a	DT
cord-239632-dyvhzvmm	145	37	booster	booster	NN
cord-239632-dyvhzvmm	145	38	to	to	TO
cord-239632-dyvhzvmm	145	39	regain	regain	VB
cord-239632-dyvhzvmm	145	40	immunity	immunity	NN
cord-239632-dyvhzvmm	145	41	[	[	-LRB-
cord-239632-dyvhzvmm	145	42	18	18	CD
cord-239632-dyvhzvmm	145	43	]	]	-RRB-
cord-239632-dyvhzvmm	145	44	[	[	-LRB-
cord-239632-dyvhzvmm	145	45	25	25	CD
cord-239632-dyvhzvmm	145	46	]	]	-RRB-
cord-239632-dyvhzvmm	145	47	.	.	.
cord-239632-dyvhzvmm	146	1	In	in	IN
cord-239632-dyvhzvmm	146	2	the	the	DT
cord-239632-dyvhzvmm	146	3	second	second	JJ
cord-239632-dyvhzvmm	146	4	case	case	NN
cord-239632-dyvhzvmm	146	5	one	one	PRP
cord-239632-dyvhzvmm	146	6	sees	see	VBZ
cord-239632-dyvhzvmm	146	7	some	some	DT
cord-239632-dyvhzvmm	146	8	efficacy	efficacy	NN
cord-239632-dyvhzvmm	146	9	from	from	IN
cord-239632-dyvhzvmm	146	10	a	a	DT
cord-239632-dyvhzvmm	146	11	vaccine	vaccine	NN
cord-239632-dyvhzvmm	146	12	which	which	WDT
cord-239632-dyvhzvmm	146	13	we	-PRON-	PRP
cord-239632-dyvhzvmm	146	14	call	call	VBP
cord-239632-dyvhzvmm	146	15	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	146	16	to	to	IN
cord-239632-dyvhzvmm	146	17	the	the	DT
cord-239632-dyvhzvmm	146	18	pandemic	pandemic	NN
cord-239632-dyvhzvmm	146	19	virus	virus	NN
cord-239632-dyvhzvmm	146	20	but	but	CC
cord-239632-dyvhzvmm	146	21	was	be	VBD
cord-239632-dyvhzvmm	146	22	developed	develop	VBN
cord-239632-dyvhzvmm	146	23	for	for	IN
cord-239632-dyvhzvmm	146	24	a	a	DT
cord-239632-dyvhzvmm	146	25	different	different	JJ
cord-239632-dyvhzvmm	146	26	pathogen	pathogen	NN
cord-239632-dyvhzvmm	146	27	but	but	CC
cord-239632-dyvhzvmm	146	28	nevertheless	nevertheless	RB
cord-239632-dyvhzvmm	146	29	may	may	MD
cord-239632-dyvhzvmm	146	30	have	have	VB
cord-239632-dyvhzvmm	146	31	some	some	DT
cord-239632-dyvhzvmm	146	32	positive	positive	JJ
cord-239632-dyvhzvmm	146	33	effects	effect	NNS
cord-239632-dyvhzvmm	146	34	that	that	WDT
cord-239632-dyvhzvmm	146	35	result	result	VBP
cord-239632-dyvhzvmm	146	36	in	in	IN
cord-239632-dyvhzvmm	146	37	lower	low	JJR
cord-239632-dyvhzvmm	146	38	morbidity	morbidity	NN
cord-239632-dyvhzvmm	146	39	to	to	IN
cord-239632-dyvhzvmm	146	40	the	the	DT
cord-239632-dyvhzvmm	146	41	pandemic	pandemic	NN
cord-239632-dyvhzvmm	146	42	virus	virus	NN
cord-239632-dyvhzvmm	146	43	.	.	.
cord-239632-dyvhzvmm	147	1	In	in	IN
cord-239632-dyvhzvmm	147	2	references	reference	NNS
cord-239632-dyvhzvmm	147	3	[	[	-LRB-
cord-239632-dyvhzvmm	147	4	26	26	CD
cord-239632-dyvhzvmm	147	5	]	]	-RRB-
cord-239632-dyvhzvmm	147	6	[	[	-LRB-
cord-239632-dyvhzvmm	147	7	27	27	CD
cord-239632-dyvhzvmm	147	8	]	]	-RRB-
cord-239632-dyvhzvmm	147	9	[	[	-LRB-
cord-239632-dyvhzvmm	147	10	28	28	CD
cord-239632-dyvhzvmm	147	11	]	]	-RRB-
cord-239632-dyvhzvmm	147	12	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	147	13	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	147	14	that	that	WDT
cord-239632-dyvhzvmm	147	15	are	be	VBP
cord-239632-dyvhzvmm	147	16	being	be	VBG
cord-239632-dyvhzvmm	147	17	studied	study	VBN
cord-239632-dyvhzvmm	147	18	including	include	VBG
cord-239632-dyvhzvmm	147	19	the	the	DT
cord-239632-dyvhzvmm	147	20	MMR	MMR	NNP
cord-239632-dyvhzvmm	147	21	vaccine	vaccine	NN
cord-239632-dyvhzvmm	147	22	,	,	,
cord-239632-dyvhzvmm	147	23	the	the	DT
cord-239632-dyvhzvmm	147	24	live	live	JJ
cord-239632-dyvhzvmm	147	25	attenuated	attenuate	VBN
cord-239632-dyvhzvmm	147	26	Polio	Polio	NNP
cord-239632-dyvhzvmm	147	27	vaccine	vaccine	NN
cord-239632-dyvhzvmm	147	28	and	and	CC
cord-239632-dyvhzvmm	147	29	the	the	DT
cord-239632-dyvhzvmm	147	30	BCG	BCG	NNP
cord-239632-dyvhzvmm	147	31	Tuberculosis	Tuberculosis	NNP
cord-239632-dyvhzvmm	147	32	vaccine	vaccine	NN
cord-239632-dyvhzvmm	147	33	.	.	.
cord-239632-dyvhzvmm	148	1	The	the	DT
cord-239632-dyvhzvmm	148	2	effects	effect	NNS
cord-239632-dyvhzvmm	148	3	of	of	IN
cord-239632-dyvhzvmm	148	4	this	this	DT
cord-239632-dyvhzvmm	148	5	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	148	6	vaccine	vaccine	NN
cord-239632-dyvhzvmm	148	7	could	could	MD
cord-239632-dyvhzvmm	148	8	also	also	RB
cord-239632-dyvhzvmm	148	9	wane	wane	VB
cord-239632-dyvhzvmm	148	10	over	over	IN
cord-239632-dyvhzvmm	148	11	time	time	NN
cord-239632-dyvhzvmm	148	12	.	.	.
cord-239632-dyvhzvmm	149	1	This	this	DT
cord-239632-dyvhzvmm	149	2	can	can	MD
cord-239632-dyvhzvmm	149	3	also	also	RB
cord-239632-dyvhzvmm	149	4	lead	lead	VB
cord-239632-dyvhzvmm	149	5	to	to	IN
cord-239632-dyvhzvmm	149	6	sporadic	sporadic	JJ
cord-239632-dyvhzvmm	149	7	outbreaks	outbreak	NNS
cord-239632-dyvhzvmm	149	8	of	of	IN
cord-239632-dyvhzvmm	149	9	the	the	DT
cord-239632-dyvhzvmm	149	10	original	original	JJ
cord-239632-dyvhzvmm	149	11	virus	virus	NN
cord-239632-dyvhzvmm	149	12	it	-PRON-	PRP
cord-239632-dyvhzvmm	149	13	was	be	VBD
cord-239632-dyvhzvmm	149	14	designed	design	VBN
cord-239632-dyvhzvmm	149	15	to	to	TO
cord-239632-dyvhzvmm	149	16	protect	protect	VB
cord-239632-dyvhzvmm	149	17	against	against	IN
cord-239632-dyvhzvmm	149	18	as	as	IN
cord-239632-dyvhzvmm	149	19	for	for	IN
cord-239632-dyvhzvmm	149	20	example	example	NN
cord-239632-dyvhzvmm	149	21	has	have	VBZ
cord-239632-dyvhzvmm	149	22	been	be	VBN
cord-239632-dyvhzvmm	149	23	seen	see	VBN
cord-239632-dyvhzvmm	149	24	in	in	IN
cord-239632-dyvhzvmm	149	25	outbreaks	outbreak	NNS
cord-239632-dyvhzvmm	149	26	of	of	IN
cord-239632-dyvhzvmm	149	27	mumps	mump	NNS
cord-239632-dyvhzvmm	149	28	.	.	.
cord-239632-dyvhzvmm	150	1	If	if	IN
cord-239632-dyvhzvmm	150	2	the	the	DT
cord-239632-dyvhzvmm	150	3	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	150	4	vaccine	vaccine	NN
cord-239632-dyvhzvmm	150	5	has	have	VBZ
cord-239632-dyvhzvmm	150	6	a	a	DT
cord-239632-dyvhzvmm	150	7	positive	positive	JJ
cord-239632-dyvhzvmm	150	8	effect	effect	NN
cord-239632-dyvhzvmm	150	9	against	against	IN
cord-239632-dyvhzvmm	150	10	the	the	DT
cord-239632-dyvhzvmm	150	11	pandemic	pandemic	NN
cord-239632-dyvhzvmm	150	12	then	then	RB
cord-239632-dyvhzvmm	150	13	the	the	DT
cord-239632-dyvhzvmm	150	14	effect	effect	NN
cord-239632-dyvhzvmm	150	15	of	of	IN
cord-239632-dyvhzvmm	150	16	vaccine	vaccine	NN
cord-239632-dyvhzvmm	150	17	waning	waning	NN
cord-239632-dyvhzvmm	150	18	may	may	MD
cord-239632-dyvhzvmm	150	19	also	also	RB
cord-239632-dyvhzvmm	150	20	contribute	contribute	VB
cord-239632-dyvhzvmm	150	21	to	to	IN
cord-239632-dyvhzvmm	150	22	age	age	NN
cord-239632-dyvhzvmm	150	23	dependence	dependence	NN
cord-239632-dyvhzvmm	150	24	of	of	IN
cord-239632-dyvhzvmm	150	25	pandemic	pandemic	NN
cord-239632-dyvhzvmm	150	26	morbidity	morbidity	NN
cord-239632-dyvhzvmm	150	27	as	as	IN
cord-239632-dyvhzvmm	150	28	vaccine	vaccine	NN
cord-239632-dyvhzvmm	150	29	waning	wane	VBG
cord-239632-dyvhzvmm	150	30	may	may	MD
cord-239632-dyvhzvmm	150	31	reduce	reduce	VB
cord-239632-dyvhzvmm	150	32	the	the	DT
cord-239632-dyvhzvmm	150	33	effect	effect	NN
cord-239632-dyvhzvmm	150	34	of	of	IN
cord-239632-dyvhzvmm	150	35	the	the	DT
cord-239632-dyvhzvmm	150	36	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	150	37	vaccine	vaccine	NN
cord-239632-dyvhzvmm	150	38	in	in	IN
cord-239632-dyvhzvmm	150	39	older	old	JJR
cord-239632-dyvhzvmm	150	40	populations	population	NNS
cord-239632-dyvhzvmm	150	41	who	who	WP
cord-239632-dyvhzvmm	150	42	have	have	VBP
cord-239632-dyvhzvmm	150	43	not	not	RB
cord-239632-dyvhzvmm	150	44	received	receive	VBN
cord-239632-dyvhzvmm	150	45	a	a	DT
cord-239632-dyvhzvmm	150	46	booster	booster	NN
cord-239632-dyvhzvmm	150	47	and	and	CC
cord-239632-dyvhzvmm	150	48	have	have	VB
cord-239632-dyvhzvmm	150	49	a	a	DT
cord-239632-dyvhzvmm	150	50	longer	long	JJR
cord-239632-dyvhzvmm	150	51	time	time	NN
cord-239632-dyvhzvmm	150	52	period	period	NN
cord-239632-dyvhzvmm	150	53	from	from	IN
cord-239632-dyvhzvmm	150	54	inoculation	inoculation	NN
cord-239632-dyvhzvmm	150	55	.	.	.
cord-239632-dyvhzvmm	151	1	The	the	DT
cord-239632-dyvhzvmm	151	2	waning	waning	NN
cord-239632-dyvhzvmm	151	3	involved	involve	VBN
cord-239632-dyvhzvmm	151	4	in	in	IN
cord-239632-dyvhzvmm	151	5	the	the	DT
cord-239632-dyvhzvmm	151	6	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	151	7	vaccine	vaccine	NN
cord-239632-dyvhzvmm	151	8	could	could	MD
cord-239632-dyvhzvmm	151	9	be	be	VB
cord-239632-dyvhzvmm	151	10	much	much	RB
cord-239632-dyvhzvmm	151	11	longer	long	JJR
cord-239632-dyvhzvmm	151	12	than	than	IN
cord-239632-dyvhzvmm	151	13	the	the	DT
cord-239632-dyvhzvmm	151	14	time	time	NN
cord-239632-dyvhzvmm	151	15	frame	frame	NN
cord-239632-dyvhzvmm	151	16	of	of	IN
cord-239632-dyvhzvmm	151	17	the	the	DT
cord-239632-dyvhzvmm	151	18	pandemic	pandemic	NN
cord-239632-dyvhzvmm	151	19	and	and	CC
cord-239632-dyvhzvmm	151	20	the	the	DT
cord-239632-dyvhzvmm	151	21	main	main	JJ
cord-239632-dyvhzvmm	151	22	effect	effect	NN
cord-239632-dyvhzvmm	151	23	would	would	MD
cord-239632-dyvhzvmm	151	24	be	be	VB
cord-239632-dyvhzvmm	151	25	a	a	DT
cord-239632-dyvhzvmm	151	26	contribution	contribution	NN
cord-239632-dyvhzvmm	151	27	to	to	IN
cord-239632-dyvhzvmm	151	28	the	the	DT
cord-239632-dyvhzvmm	151	29	age	age	NN
cord-239632-dyvhzvmm	151	30	distribution	distribution	NN
cord-239632-dyvhzvmm	151	31	of	of	IN
cord-239632-dyvhzvmm	151	32	pandemic	pandemic	NN
cord-239632-dyvhzvmm	151	33	morbidity	morbidity	NN
cord-239632-dyvhzvmm	151	34	.	.	.
cord-239632-dyvhzvmm	152	1	Here	here	RB
cord-239632-dyvhzvmm	152	2	we	-PRON-	PRP
cord-239632-dyvhzvmm	152	3	study	study	VBP
cord-239632-dyvhzvmm	152	4	a	a	DT
cord-239632-dyvhzvmm	152	5	set	set	NN
cord-239632-dyvhzvmm	152	6	of	of	IN
cord-239632-dyvhzvmm	152	7	two	two	CD
cord-239632-dyvhzvmm	152	8	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	152	9	models	model	NNS
cord-239632-dyvhzvmm	152	10	to	to	TO
cord-239632-dyvhzvmm	152	11	study	study	VB
cord-239632-dyvhzvmm	152	12	this	this	DT
cord-239632-dyvhzvmm	152	13	effect	effect	NN
cord-239632-dyvhzvmm	152	14	.	.	.
cord-239632-dyvhzvmm	153	1	In	in	IN
cord-239632-dyvhzvmm	153	2	the	the	DT
cord-239632-dyvhzvmm	153	3	first	first	JJ
cord-239632-dyvhzvmm	153	4	model	model	NN
cord-239632-dyvhzvmm	153	5	we	-PRON-	PRP
cord-239632-dyvhzvmm	153	6	study	study	VBP
cord-239632-dyvhzvmm	153	7	a	a	DT
cord-239632-dyvhzvmm	153	8	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	153	9	model	model	NN
cord-239632-dyvhzvmm	153	10	with	with	IN
cord-239632-dyvhzvmm	153	11	two	two	CD
cord-239632-dyvhzvmm	153	12	age	age	NN
cord-239632-dyvhzvmm	153	13	groups	group	NNS
cord-239632-dyvhzvmm	153	14	and	and	CC
cord-239632-dyvhzvmm	153	15	no	no	DT
cord-239632-dyvhzvmm	153	16	effect	effect	NN
cord-239632-dyvhzvmm	153	17	of	of	IN
cord-239632-dyvhzvmm	153	18	the	the	DT
cord-239632-dyvhzvmm	153	19	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	153	20	vaccine	vaccine	NN
cord-239632-dyvhzvmm	153	21	.	.	.
cord-239632-dyvhzvmm	154	1	In	in	IN
cord-239632-dyvhzvmm	154	2	the	the	DT
cord-239632-dyvhzvmm	154	3	second	second	JJ
cord-239632-dyvhzvmm	154	4	model	model	NN
cord-239632-dyvhzvmm	154	5	we	-PRON-	PRP
cord-239632-dyvhzvmm	154	6	consider	consider	VBP
cord-239632-dyvhzvmm	154	7	a	a	DT
cord-239632-dyvhzvmm	154	8	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	154	9	model	model	NN
cord-239632-dyvhzvmm	154	10	including	include	VBG
cord-239632-dyvhzvmm	154	11	a	a	DT
cord-239632-dyvhzvmm	154	12	possible	possible	JJ
cord-239632-dyvhzvmm	154	13	effect	effect	NN
cord-239632-dyvhzvmm	154	14	reducing	reduce	VBG
cord-239632-dyvhzvmm	154	15	the	the	DT
cord-239632-dyvhzvmm	154	16	morbidity	morbidity	NN
cord-239632-dyvhzvmm	154	17	with	with	IN
cord-239632-dyvhzvmm	154	18	a	a	DT
cord-239632-dyvhzvmm	154	19	greater	great	JJR
cord-239632-dyvhzvmm	154	20	effect	effect	NN
cord-239632-dyvhzvmm	154	21	on	on	IN
cord-239632-dyvhzvmm	154	22	the	the	DT
cord-239632-dyvhzvmm	154	23	younger	young	JJR
cord-239632-dyvhzvmm	154	24	age	age	NN
cord-239632-dyvhzvmm	154	25	group	group	NN
cord-239632-dyvhzvmm	154	26	due	due	IN
cord-239632-dyvhzvmm	154	27	to	to	IN
cord-239632-dyvhzvmm	154	28	possible	possible	JJ
cord-239632-dyvhzvmm	154	29	waning	waning	NN
cord-239632-dyvhzvmm	154	30	of	of	IN
cord-239632-dyvhzvmm	154	31	the	the	DT
cord-239632-dyvhzvmm	154	32	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	154	33	vaccine	vaccine	NN
cord-239632-dyvhzvmm	154	34	.	.	.
cord-239632-dyvhzvmm	155	1	The	the	DT
cord-239632-dyvhzvmm	155	2	amount	amount	NN
cord-239632-dyvhzvmm	155	3	of	of	IN
cord-239632-dyvhzvmm	155	4	waning	wane	VBG
cord-239632-dyvhzvmm	155	5	by	by	IN
cord-239632-dyvhzvmm	155	6	age	age	NN
cord-239632-dyvhzvmm	155	7	group	group	NN
cord-239632-dyvhzvmm	155	8	is	be	VBZ
cord-239632-dyvhzvmm	155	9	given	give	VBN
cord-239632-dyvhzvmm	155	10	in	in	IN
cord-239632-dyvhzvmm	155	11	figure	figure	NN
cord-239632-dyvhzvmm	155	12	10	10	CD
cord-239632-dyvhzvmm	155	13	and	and	CC
cord-239632-dyvhzvmm	155	14	the	the	DT
cord-239632-dyvhzvmm	155	15	effect	effect	NN
cord-239632-dyvhzvmm	155	16	on	on	IN
cord-239632-dyvhzvmm	155	17	the	the	DT
cord-239632-dyvhzvmm	155	18	death	death	NN
cord-239632-dyvhzvmm	155	19	rate	rate	NN
cord-239632-dyvhzvmm	155	20	with	with	IN
cord-239632-dyvhzvmm	155	21	or	or	CC
cord-239632-dyvhzvmm	155	22	without	without	IN
cord-239632-dyvhzvmm	155	23	the	the	DT
cord-239632-dyvhzvmm	155	24	hypothetical	hypothetical	JJ
cord-239632-dyvhzvmm	155	25	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	155	26	vaccine	vaccine	NN
cord-239632-dyvhzvmm	155	27	that	that	IN
cord-239632-dyvhzvmm	155	28	we	-PRON-	PRP
cord-239632-dyvhzvmm	155	29	used	use	VBD
cord-239632-dyvhzvmm	155	30	in	in	IN
cord-239632-dyvhzvmm	155	31	the	the	DT
cord-239632-dyvhzvmm	155	32	simulation	simulation	NN
cord-239632-dyvhzvmm	155	33	are	be	VBP
cord-239632-dyvhzvmm	155	34	shown	show	VBN
cord-239632-dyvhzvmm	155	35	in	in	IN
cord-239632-dyvhzvmm	155	36	figure	figure	NN
cord-239632-dyvhzvmm	155	37	11	11	CD
cord-239632-dyvhzvmm	155	38	.	.	.
cord-239632-dyvhzvmm	156	1	The	the	DT
cord-239632-dyvhzvmm	156	2	model	model	NN
cord-239632-dyvhzvmm	156	3	we	-PRON-	PRP
cord-239632-dyvhzvmm	156	4	used	use	VBD
cord-239632-dyvhzvmm	156	5	for	for	IN
cord-239632-dyvhzvmm	156	6	the	the	DT
cord-239632-dyvhzvmm	156	7	second	second	JJ
cord-239632-dyvhzvmm	156	8	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	156	9	model	model	NN
cord-239632-dyvhzvmm	156	10	is	be	VBZ
cord-239632-dyvhzvmm	156	11	given	give	VBN
cord-239632-dyvhzvmm	156	12	by	by	IN
cord-239632-dyvhzvmm	156	13	:	:	:
cord-239632-dyvhzvmm	156	14	Then	then	RB
cord-239632-dyvhzvmm	156	15	we	-PRON-	PRP
cord-239632-dyvhzvmm	156	16	compare	compare	VBP
cord-239632-dyvhzvmm	156	17	the	the	DT
cord-239632-dyvhzvmm	156	18	results	result	NNS
cord-239632-dyvhzvmm	156	19	of	of	IN
cord-239632-dyvhzvmm	156	20	these	these	DT
cord-239632-dyvhzvmm	156	21	two	two	CD
cord-239632-dyvhzvmm	156	22	models	model	NNS
cord-239632-dyvhzvmm	156	23	to	to	TO
cord-239632-dyvhzvmm	156	24	see	see	VB
cord-239632-dyvhzvmm	156	25	the	the	DT
cord-239632-dyvhzvmm	156	26	effect	effect	NN
cord-239632-dyvhzvmm	156	27	of	of	IN
cord-239632-dyvhzvmm	156	28	the	the	DT
cord-239632-dyvhzvmm	156	29	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	156	30	vaccine	vaccine	NN
cord-239632-dyvhzvmm	156	31	and	and	CC
cord-239632-dyvhzvmm	156	32	the	the	DT
cord-239632-dyvhzvmm	156	33	pandemic	pandemic	NN
cord-239632-dyvhzvmm	156	34	.	.	.
cord-239632-dyvhzvmm	157	1	We	-PRON-	PRP
cord-239632-dyvhzvmm	157	2	see	see	VBP
cord-239632-dyvhzvmm	157	3	from	from	IN
cord-239632-dyvhzvmm	157	4	figure	figure	NN
cord-239632-dyvhzvmm	157	5	with	with	IN
cord-239632-dyvhzvmm	157	6	the	the	DT
cord-239632-dyvhzvmm	157	7	same	same	JJ
cord-239632-dyvhzvmm	157	8	contact	contact	NN
cord-239632-dyvhzvmm	157	9	matrix	matrix	NN
cord-239632-dyvhzvmm	157	10	c	c	NN
cord-239632-dyvhzvmm	157	11	ij	ij	NN
cord-239632-dyvhzvmm	157	12	from	from	IN
cord-239632-dyvhzvmm	157	13	(	(	-LRB-
cord-239632-dyvhzvmm	157	14	4.2	4.2	CD
cord-239632-dyvhzvmm	157	15	)	)	-RRB-
cord-239632-dyvhzvmm	157	16	.	.	.
cord-239632-dyvhzvmm	158	1	We	-PRON-	PRP
cord-239632-dyvhzvmm	158	2	see	see	VBP
cord-239632-dyvhzvmm	158	3	that	that	IN
cord-239632-dyvhzvmm	158	4	there	there	EX
cord-239632-dyvhzvmm	158	5	is	be	VBZ
cord-239632-dyvhzvmm	158	6	an	an	DT
cord-239632-dyvhzvmm	158	7	age	age	NN
cord-239632-dyvhzvmm	158	8	related	relate	VBN
cord-239632-dyvhzvmm	158	9	effect	effect	NN
cord-239632-dyvhzvmm	158	10	in	in	IN
cord-239632-dyvhzvmm	158	11	pandemic	pandemic	NN
cord-239632-dyvhzvmm	158	12	modeling	modeling	NN
cord-239632-dyvhzvmm	158	13	somewhat	somewhat	RB
cord-239632-dyvhzvmm	158	14	similar	similar	JJ
cord-239632-dyvhzvmm	158	15	to	to	IN
cord-239632-dyvhzvmm	158	16	what	what	WP
cord-239632-dyvhzvmm	158	17	is	be	VBZ
cord-239632-dyvhzvmm	158	18	seen	see	VBN
cord-239632-dyvhzvmm	158	19	in	in	IN
cord-239632-dyvhzvmm	158	20	the	the	DT
cord-239632-dyvhzvmm	158	21	COVID-19	covid-19	JJ
cord-239632-dyvhzvmm	158	22	pandemic	pandemic	NN
cord-239632-dyvhzvmm	158	23	.	.	.
cord-239632-dyvhzvmm	159	1	It	-PRON-	PRP
cord-239632-dyvhzvmm	159	2	would	would	MD
cord-239632-dyvhzvmm	159	3	be	be	VB
cord-239632-dyvhzvmm	159	4	very	very	RB
cord-239632-dyvhzvmm	159	5	interesting	interesting	JJ
cord-239632-dyvhzvmm	159	6	add	add	VB
cord-239632-dyvhzvmm	159	7	more	more	JJR
cord-239632-dyvhzvmm	159	8	compartments	compartment	NNS
cord-239632-dyvhzvmm	159	9	and	and	CC
cord-239632-dyvhzvmm	159	10	to	to	TO
cord-239632-dyvhzvmm	159	11	represent	represent	VB
cord-239632-dyvhzvmm	159	12	comorbidities	comorbiditie	NNS
cord-239632-dyvhzvmm	159	13	in	in	IN
cord-239632-dyvhzvmm	159	14	the	the	DT
cord-239632-dyvhzvmm	159	15	different	different	JJ
cord-239632-dyvhzvmm	159	16	age	age	NN
cord-239632-dyvhzvmm	159	17	groups	group	NNS
cord-239632-dyvhzvmm	159	18	to	to	IN
cord-239632-dyvhzvmm	159	19	more	more	RBR
cord-239632-dyvhzvmm	159	20	closely	closely	RB
cord-239632-dyvhzvmm	159	21	model	model	VB
cord-239632-dyvhzvmm	159	22	the	the	DT
cord-239632-dyvhzvmm	159	23	different	different	JJ
cord-239632-dyvhzvmm	159	24	age	age	NN
cord-239632-dyvhzvmm	159	25	populations	population	NNS
cord-239632-dyvhzvmm	159	26	reaction	reaction	VBP
cord-239632-dyvhzvmm	159	27	to	to	IN
cord-239632-dyvhzvmm	159	28	the	the	DT
cord-239632-dyvhzvmm	159	29	disease	disease	NN
cord-239632-dyvhzvmm	159	30	.	.	.
cord-239632-dyvhzvmm	160	1	Figure	figure	NN
cord-239632-dyvhzvmm	160	2	11	11	CD
cord-239632-dyvhzvmm	160	3	:	:	:
cord-239632-dyvhzvmm	160	4	(	(	-LRB-
cord-239632-dyvhzvmm	160	5	Left	left	NN
cord-239632-dyvhzvmm	160	6	)	)	-RRB-
cord-239632-dyvhzvmm	160	7	Death	death	NN
cord-239632-dyvhzvmm	160	8	rate	rate	NN
cord-239632-dyvhzvmm	160	9	for	for	IN
cord-239632-dyvhzvmm	160	10	a	a	DT
cord-239632-dyvhzvmm	160	11	population	population	NN
cord-239632-dyvhzvmm	160	12	without	without	IN
cord-239632-dyvhzvmm	160	13	a	a	DT
cord-239632-dyvhzvmm	160	14	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	160	15	vaccine	vaccine	NN
cord-239632-dyvhzvmm	160	16	for	for	IN
cord-239632-dyvhzvmm	160	17	two	two	CD
cord-239632-dyvhzvmm	160	18	age	age	NN
cord-239632-dyvhzvmm	160	19	groups	group	NNS
cord-239632-dyvhzvmm	160	20	(	(	-LRB-
cord-239632-dyvhzvmm	160	21	0	0	CD
cord-239632-dyvhzvmm	160	22	−	−	NNP
cord-239632-dyvhzvmm	160	23	49	49	CD
cord-239632-dyvhzvmm	160	24	)	)	-RRB-
cord-239632-dyvhzvmm	160	25	and	and	CC
cord-239632-dyvhzvmm	160	26	50	50	CD
cord-239632-dyvhzvmm	160	27	+	+	NN
cord-239632-dyvhzvmm	160	28	.	.	.
cord-239632-dyvhzvmm	161	1	(	(	-LRB-
cord-239632-dyvhzvmm	161	2	Right	right	UH
cord-239632-dyvhzvmm	161	3	)	)	-RRB-
cord-239632-dyvhzvmm	161	4	Deathrate	Deathrate	NNP
cord-239632-dyvhzvmm	161	5	for	for	IN
cord-239632-dyvhzvmm	161	6	a	a	DT
cord-239632-dyvhzvmm	161	7	population	population	NN
cord-239632-dyvhzvmm	161	8	with	with	IN
cord-239632-dyvhzvmm	161	9	a	a	DT
cord-239632-dyvhzvmm	161	10	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	161	11	vaccine	vaccine	NN
cord-239632-dyvhzvmm	161	12	taking	take	VBG
cord-239632-dyvhzvmm	161	13	into	into	IN
cord-239632-dyvhzvmm	161	14	account	account	NN
cord-239632-dyvhzvmm	161	15	vaccine	vaccine	NN
cord-239632-dyvhzvmm	161	16	waning	wane	VBG
cord-239632-dyvhzvmm	161	17	for	for	IN
cord-239632-dyvhzvmm	161	18	two	two	CD
cord-239632-dyvhzvmm	161	19	age	age	NN
cord-239632-dyvhzvmm	161	20	groups	group	NNS
cord-239632-dyvhzvmm	161	21	(	(	-LRB-
cord-239632-dyvhzvmm	161	22	0−49	0−49	NFP
cord-239632-dyvhzvmm	161	23	)	)	-RRB-
cord-239632-dyvhzvmm	161	24	and	and	CC
cord-239632-dyvhzvmm	161	25	50	50	CD
cord-239632-dyvhzvmm	161	26	+	+	NN
cord-239632-dyvhzvmm	161	27	.	.	.
cord-239632-dyvhzvmm	162	1	Note	note	VB
cord-239632-dyvhzvmm	162	2	the	the	DT
cord-239632-dyvhzvmm	162	3	deathrate	deathrate	NN
cord-239632-dyvhzvmm	162	4	is	be	VBZ
cord-239632-dyvhzvmm	162	5	reduced	reduce	VBN
cord-239632-dyvhzvmm	162	6	more	more	JJR
cord-239632-dyvhzvmm	162	7	for	for	IN
cord-239632-dyvhzvmm	162	8	the	the	DT
cord-239632-dyvhzvmm	162	9	younger	young	JJR
cord-239632-dyvhzvmm	162	10	age	age	NN
cord-239632-dyvhzvmm	162	11	group	group	NN
cord-239632-dyvhzvmm	162	12	as	as	IN
cord-239632-dyvhzvmm	162	13	the	the	DT
cord-239632-dyvhzvmm	162	14	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	162	15	vaccine	vaccine	NN
cord-239632-dyvhzvmm	162	16	wanes	wane	VBZ
cord-239632-dyvhzvmm	162	17	less	less	JJR
cord-239632-dyvhzvmm	162	18	than	than	IN
cord-239632-dyvhzvmm	162	19	the	the	DT
cord-239632-dyvhzvmm	162	20	older	old	JJR
cord-239632-dyvhzvmm	162	21	age	age	NN
cord-239632-dyvhzvmm	162	22	group	group	NN
cord-239632-dyvhzvmm	162	23	.	.	.
cord-239632-dyvhzvmm	163	1	We	-PRON-	PRP
cord-239632-dyvhzvmm	163	2	also	also	RB
cord-239632-dyvhzvmm	163	3	see	see	VBP
cord-239632-dyvhzvmm	163	4	from	from	IN
cord-239632-dyvhzvmm	163	5	figure	figure	NN
cord-239632-dyvhzvmm	163	6	12	12	CD
cord-239632-dyvhzvmm	163	7	that	that	IN
cord-239632-dyvhzvmm	163	8	the	the	DT
cord-239632-dyvhzvmm	163	9	number	number	NN
cord-239632-dyvhzvmm	163	10	of	of	IN
cord-239632-dyvhzvmm	163	11	deaths	death	NNS
cord-239632-dyvhzvmm	163	12	in	in	IN
cord-239632-dyvhzvmm	163	13	both	both	DT
cord-239632-dyvhzvmm	163	14	age	age	NN
cord-239632-dyvhzvmm	163	15	groups	group	NNS
cord-239632-dyvhzvmm	163	16	decrease	decrease	VBP
cord-239632-dyvhzvmm	163	17	with	with	IN
cord-239632-dyvhzvmm	163	18	the	the	DT
cord-239632-dyvhzvmm	163	19	hypothetical	hypothetical	JJ
cord-239632-dyvhzvmm	163	20	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	163	21	vaccine	vaccine	NN
cord-239632-dyvhzvmm	163	22	.	.	.
cord-239632-dyvhzvmm	164	1	We	-PRON-	PRP
cord-239632-dyvhzvmm	164	2	chose	choose	VBD
cord-239632-dyvhzvmm	164	3	parameters	parameter	NNS
cord-239632-dyvhzvmm	164	4	in	in	IN
cord-239632-dyvhzvmm	164	5	the	the	DT
cord-239632-dyvhzvmm	164	6	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	164	7	simulation	simulation	NN
cord-239632-dyvhzvmm	164	8	from	from	IN
cord-239632-dyvhzvmm	164	9	(	(	-LRB-
cord-239632-dyvhzvmm	164	10	6.3	6.3	CD
cord-239632-dyvhzvmm	164	11	)	)	-RRB-
cord-239632-dyvhzvmm	164	12	with	with	IN
cord-239632-dyvhzvmm	164	13	a	a	DT
cord-239632-dyvhzvmm	164	14	susceptible	susceptible	JJ
cord-239632-dyvhzvmm	164	15	population	population	NN
cord-239632-dyvhzvmm	164	16	of	of	IN
cord-239632-dyvhzvmm	164	17	60,000	60,000	CD
cord-239632-dyvhzvmm	164	18	in	in	IN
cord-239632-dyvhzvmm	164	19	the	the	DT
cord-239632-dyvhzvmm	164	20	younger	young	JJR
cord-239632-dyvhzvmm	164	21	age	age	NN
cord-239632-dyvhzvmm	164	22	group	group	NN
cord-239632-dyvhzvmm	164	23	and	and	CC
cord-239632-dyvhzvmm	164	24	40,000	40,000	CD
cord-239632-dyvhzvmm	164	25	in	in	IN
cord-239632-dyvhzvmm	164	26	the	the	DT
cord-239632-dyvhzvmm	164	27	older	old	JJR
cord-239632-dyvhzvmm	164	28	age	age	NN
cord-239632-dyvhzvmm	164	29	group	group	NN
cord-239632-dyvhzvmm	164	30	.	.	.
cord-239632-dyvhzvmm	165	1	We	-PRON-	PRP
cord-239632-dyvhzvmm	165	2	found	find	VBD
cord-239632-dyvhzvmm	165	3	that	that	IN
cord-239632-dyvhzvmm	165	4	the	the	DT
cord-239632-dyvhzvmm	165	5	number	number	NN
cord-239632-dyvhzvmm	165	6	of	of	IN
cord-239632-dyvhzvmm	165	7	deaths	death	NNS
cord-239632-dyvhzvmm	165	8	decreased	decrease	VBD
cord-239632-dyvhzvmm	165	9	from	from	IN
cord-239632-dyvhzvmm	165	10	158	158	CD
cord-239632-dyvhzvmm	165	11	to	to	TO
cord-239632-dyvhzvmm	165	12	86	86	CD
cord-239632-dyvhzvmm	165	13	with	with	IN
cord-239632-dyvhzvmm	165	14	the	the	DT
cord-239632-dyvhzvmm	165	15	use	use	NN
cord-239632-dyvhzvmm	165	16	of	of	IN
cord-239632-dyvhzvmm	165	17	the	the	DT
cord-239632-dyvhzvmm	165	18	hypothetical	hypothetical	JJ
cord-239632-dyvhzvmm	165	19	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	165	20	vaccine	vaccine	NN
cord-239632-dyvhzvmm	165	21	in	in	IN
cord-239632-dyvhzvmm	165	22	the	the	DT
cord-239632-dyvhzvmm	165	23	younger	young	JJR
cord-239632-dyvhzvmm	165	24	age	age	NN
cord-239632-dyvhzvmm	165	25	group	group	NN
cord-239632-dyvhzvmm	165	26	.	.	.
cord-239632-dyvhzvmm	166	1	The	the	DT
cord-239632-dyvhzvmm	166	2	number	number	NN
cord-239632-dyvhzvmm	166	3	of	of	IN
cord-239632-dyvhzvmm	166	4	deaths	death	NNS
cord-239632-dyvhzvmm	166	5	in	in	IN
cord-239632-dyvhzvmm	166	6	the	the	DT
cord-239632-dyvhzvmm	166	7	older	old	JJR
cord-239632-dyvhzvmm	166	8	age	age	NN
cord-239632-dyvhzvmm	166	9	group	group	NN
cord-239632-dyvhzvmm	166	10	decreased	decrease	VBD
cord-239632-dyvhzvmm	166	11	from	from	IN
cord-239632-dyvhzvmm	166	12	1351	1351	CD
cord-239632-dyvhzvmm	166	13	to	to	IN
cord-239632-dyvhzvmm	166	14	1283	1283	CD
cord-239632-dyvhzvmm	166	15	with	with	IN
cord-239632-dyvhzvmm	166	16	the	the	DT
cord-239632-dyvhzvmm	166	17	use	use	NN
cord-239632-dyvhzvmm	166	18	of	of	IN
cord-239632-dyvhzvmm	166	19	the	the	DT
cord-239632-dyvhzvmm	166	20	hypothetical	hypothetical	JJ
cord-239632-dyvhzvmm	166	21	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	166	22	vaccine	vaccine	NN
cord-239632-dyvhzvmm	166	23	.	.	.
cord-239632-dyvhzvmm	167	1	Overall	overall	RB
cord-239632-dyvhzvmm	167	2	the	the	DT
cord-239632-dyvhzvmm	167	3	number	number	NN
cord-239632-dyvhzvmm	167	4	of	of	IN
cord-239632-dyvhzvmm	167	5	deaths	death	NNS
cord-239632-dyvhzvmm	167	6	in	in	IN
cord-239632-dyvhzvmm	167	7	the	the	DT
cord-239632-dyvhzvmm	167	8	total	total	JJ
cord-239632-dyvhzvmm	167	9	population	population	NN
cord-239632-dyvhzvmm	167	10	of	of	IN
cord-239632-dyvhzvmm	167	11	100,000	100,000	CD
cord-239632-dyvhzvmm	167	12	decreased	decrease	VBD
cord-239632-dyvhzvmm	167	13	from	from	IN
cord-239632-dyvhzvmm	167	14	1509	1509	CD
cord-239632-dyvhzvmm	167	15	to	to	IN
cord-239632-dyvhzvmm	167	16	1369	1369	CD
cord-239632-dyvhzvmm	167	17	due	due	IN
cord-239632-dyvhzvmm	167	18	to	to	IN
cord-239632-dyvhzvmm	167	19	the	the	DT
cord-239632-dyvhzvmm	167	20	effect	effect	NN
cord-239632-dyvhzvmm	167	21	of	of	IN
cord-239632-dyvhzvmm	167	22	the	the	DT
cord-239632-dyvhzvmm	167	23	hypothetical	hypothetical	JJ
cord-239632-dyvhzvmm	167	24	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	167	25	vaccine	vaccine	NN
cord-239632-dyvhzvmm	167	26	using	use	VBG
cord-239632-dyvhzvmm	167	27	the	the	DT
cord-239632-dyvhzvmm	167	28	parameters	parameter	NNS
cord-239632-dyvhzvmm	168	1	Figure	figure	NN
cord-239632-dyvhzvmm	168	2	12	12	CD
cord-239632-dyvhzvmm	168	3	:	:	:
cord-239632-dyvhzvmm	169	1	(	(	-LRB-
cord-239632-dyvhzvmm	169	2	Left	left	NN
cord-239632-dyvhzvmm	169	3	)	)	-RRB-
cord-239632-dyvhzvmm	169	4	Deaths	death	NNS
cord-239632-dyvhzvmm	169	5	for	for	IN
cord-239632-dyvhzvmm	169	6	a	a	DT
cord-239632-dyvhzvmm	169	7	population	population	NN
cord-239632-dyvhzvmm	169	8	without	without	IN
cord-239632-dyvhzvmm	169	9	a	a	DT
cord-239632-dyvhzvmm	169	10	hypothetical	hypothetical	JJ
cord-239632-dyvhzvmm	169	11	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	169	12	vaccine	vaccine	NN
cord-239632-dyvhzvmm	169	13	for	for	IN
cord-239632-dyvhzvmm	169	14	two	two	CD
cord-239632-dyvhzvmm	169	15	age	age	NN
cord-239632-dyvhzvmm	169	16	groups	group	NNS
cord-239632-dyvhzvmm	169	17	(	(	-LRB-
cord-239632-dyvhzvmm	169	18	0	0	CD
cord-239632-dyvhzvmm	169	19	−	−	NNP
cord-239632-dyvhzvmm	169	20	49	49	CD
cord-239632-dyvhzvmm	169	21	)	)	-RRB-
cord-239632-dyvhzvmm	169	22	and	and	CC
cord-239632-dyvhzvmm	169	23	50	50	CD
cord-239632-dyvhzvmm	169	24	+	+	NN
cord-239632-dyvhzvmm	169	25	.	.	.
cord-239632-dyvhzvmm	170	1	(	(	-LRB-
cord-239632-dyvhzvmm	170	2	Right	right	UH
cord-239632-dyvhzvmm	170	3	)	)	-RRB-
cord-239632-dyvhzvmm	170	4	Deaths	death	NNS
cord-239632-dyvhzvmm	170	5	for	for	IN
cord-239632-dyvhzvmm	170	6	a	a	DT
cord-239632-dyvhzvmm	170	7	population	population	NN
cord-239632-dyvhzvmm	170	8	with	with	IN
cord-239632-dyvhzvmm	170	9	a	a	DT
cord-239632-dyvhzvmm	170	10	hypothetical	hypothetical	JJ
cord-239632-dyvhzvmm	170	11	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	170	12	vaccine	vaccine	NN
cord-239632-dyvhzvmm	170	13	taking	take	VBG
cord-239632-dyvhzvmm	170	14	into	into	IN
cord-239632-dyvhzvmm	170	15	account	account	NN
cord-239632-dyvhzvmm	170	16	vaccine	vaccine	NN
cord-239632-dyvhzvmm	170	17	waning	wane	VBG
cord-239632-dyvhzvmm	170	18	for	for	IN
cord-239632-dyvhzvmm	170	19	two	two	CD
cord-239632-dyvhzvmm	170	20	age	age	NN
cord-239632-dyvhzvmm	170	21	groups	group	NNS
cord-239632-dyvhzvmm	170	22	(	(	-LRB-
cord-239632-dyvhzvmm	170	23	0−49	0−49	NFP
cord-239632-dyvhzvmm	170	24	)	)	-RRB-
cord-239632-dyvhzvmm	170	25	and	and	CC
cord-239632-dyvhzvmm	170	26	50	50	CD
cord-239632-dyvhzvmm	170	27	+	+	NN
cord-239632-dyvhzvmm	170	28	.	.	.
cord-239632-dyvhzvmm	171	1	Note	note	VB
cord-239632-dyvhzvmm	171	2	the	the	DT
cord-239632-dyvhzvmm	171	3	number	number	NN
cord-239632-dyvhzvmm	171	4	of	of	IN
cord-239632-dyvhzvmm	171	5	deaths	death	NNS
cord-239632-dyvhzvmm	171	6	is	be	VBZ
cord-239632-dyvhzvmm	171	7	reduced	reduce	VBN
cord-239632-dyvhzvmm	171	8	more	more	JJR
cord-239632-dyvhzvmm	171	9	for	for	IN
cord-239632-dyvhzvmm	171	10	the	the	DT
cord-239632-dyvhzvmm	171	11	younger	young	JJR
cord-239632-dyvhzvmm	171	12	age	age	NN
cord-239632-dyvhzvmm	171	13	group	group	NN
cord-239632-dyvhzvmm	171	14	as	as	IN
cord-239632-dyvhzvmm	171	15	the	the	DT
cord-239632-dyvhzvmm	171	16	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	171	17	vaccine	vaccine	NN
cord-239632-dyvhzvmm	171	18	wanes	wane	VBZ
cord-239632-dyvhzvmm	171	19	less	less	JJR
cord-239632-dyvhzvmm	171	20	than	than	IN
cord-239632-dyvhzvmm	171	21	in	in	IN
cord-239632-dyvhzvmm	171	22	the	the	DT
cord-239632-dyvhzvmm	171	23	older	old	JJR
cord-239632-dyvhzvmm	171	24	age	age	NN
cord-239632-dyvhzvmm	171	25	group	group	NN
cord-239632-dyvhzvmm	171	26	.	.	.
cord-239632-dyvhzvmm	172	1	(	(	-LRB-
cord-239632-dyvhzvmm	172	2	6.3	6.3	CD
cord-239632-dyvhzvmm	172	3	)	)	-RRB-
cord-239632-dyvhzvmm	172	4	of	of	IN
cord-239632-dyvhzvmm	172	5	the	the	DT
cord-239632-dyvhzvmm	172	6	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	172	7	model	model	NN
cord-239632-dyvhzvmm	172	8	.	.	.
cord-239632-dyvhzvmm	173	1	The	the	DT
cord-239632-dyvhzvmm	173	2	effect	effect	NN
cord-239632-dyvhzvmm	173	3	in	in	IN
cord-239632-dyvhzvmm	173	4	the	the	DT
cord-239632-dyvhzvmm	173	5	older	old	JJR
cord-239632-dyvhzvmm	173	6	age	age	NN
cord-239632-dyvhzvmm	173	7	group	group	NN
cord-239632-dyvhzvmm	173	8	is	be	VBZ
cord-239632-dyvhzvmm	173	9	less	less	JJR
cord-239632-dyvhzvmm	173	10	because	because	IN
cord-239632-dyvhzvmm	173	11	of	of	IN
cord-239632-dyvhzvmm	173	12	the	the	DT
cord-239632-dyvhzvmm	173	13	vaccine	vaccine	NN
cord-239632-dyvhzvmm	173	14	waning	wane	VBG
cord-239632-dyvhzvmm	173	15	varying	vary	VBG
cord-239632-dyvhzvmm	173	16	with	with	IN
cord-239632-dyvhzvmm	173	17	the	the	DT
cord-239632-dyvhzvmm	173	18	number	number	NN
cord-239632-dyvhzvmm	173	19	of	of	IN
cord-239632-dyvhzvmm	173	20	years	year	NNS
cord-239632-dyvhzvmm	173	21	from	from	IN
cord-239632-dyvhzvmm	173	22	vaccination	vaccination	NN
cord-239632-dyvhzvmm	173	23	.	.	.
cord-239632-dyvhzvmm	174	1	The	the	DT
cord-239632-dyvhzvmm	174	2	application	application	NN
cord-239632-dyvhzvmm	174	3	of	of	IN
cord-239632-dyvhzvmm	174	4	a	a	DT
cord-239632-dyvhzvmm	174	5	booster	booster	NN
cord-239632-dyvhzvmm	174	6	of	of	IN
cord-239632-dyvhzvmm	174	7	the	the	DT
cord-239632-dyvhzvmm	174	8	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	174	9	vaccine	vaccine	NN
cord-239632-dyvhzvmm	174	10	to	to	IN
cord-239632-dyvhzvmm	174	11	the	the	DT
cord-239632-dyvhzvmm	174	12	older	old	JJR
cord-239632-dyvhzvmm	174	13	age	age	NN
cord-239632-dyvhzvmm	174	14	group	group	NN
cord-239632-dyvhzvmm	174	15	could	could	MD
cord-239632-dyvhzvmm	174	16	be	be	VB
cord-239632-dyvhzvmm	174	17	expected	expect	VBN
cord-239632-dyvhzvmm	174	18	to	to	TO
cord-239632-dyvhzvmm	174	19	lower	lower	VB
cord-239632-dyvhzvmm	174	20	the	the	DT
cord-239632-dyvhzvmm	174	21	mortality	mortality	NN
cord-239632-dyvhzvmm	174	22	even	even	RB
cord-239632-dyvhzvmm	174	23	further	far	RBR
cord-239632-dyvhzvmm	174	24	as	as	IN
cord-239632-dyvhzvmm	174	25	more	more	JJR
cord-239632-dyvhzvmm	174	26	fatalities	fatality	NNS
cord-239632-dyvhzvmm	174	27	are	be	VBP
cord-239632-dyvhzvmm	174	28	recorded	record	VBN
cord-239632-dyvhzvmm	174	29	in	in	IN
cord-239632-dyvhzvmm	174	30	the	the	DT
cord-239632-dyvhzvmm	174	31	older	old	JJR
cord-239632-dyvhzvmm	174	32	age	age	NN
cord-239632-dyvhzvmm	174	33	group	group	NN
cord-239632-dyvhzvmm	174	34	where	where	WRB
cord-239632-dyvhzvmm	174	35	the	the	DT
cord-239632-dyvhzvmm	174	36	mortality	mortality	NN
cord-239632-dyvhzvmm	174	37	rate	rate	NN
cord-239632-dyvhzvmm	174	38	is	be	VBZ
cord-239632-dyvhzvmm	174	39	higher	high	JJR
cord-239632-dyvhzvmm	174	40	.	.	.
cord-239632-dyvhzvmm	175	1	It	-PRON-	PRP
cord-239632-dyvhzvmm	175	2	will	will	MD
cord-239632-dyvhzvmm	175	3	be	be	VB
cord-239632-dyvhzvmm	175	4	interesting	interesting	JJ
cord-239632-dyvhzvmm	175	5	to	to	TO
cord-239632-dyvhzvmm	175	6	examine	examine	VB
cord-239632-dyvhzvmm	175	7	the	the	DT
cord-239632-dyvhzvmm	175	8	projections	projection	NNS
cord-239632-dyvhzvmm	175	9	for	for	IN
cord-239632-dyvhzvmm	175	10	pandemic	pandemic	NN
cord-239632-dyvhzvmm	175	11	modeling	modeling	NN
cord-239632-dyvhzvmm	175	12	as	as	IN
cord-239632-dyvhzvmm	175	13	more	more	JJR
cord-239632-dyvhzvmm	175	14	data	data	NN
cord-239632-dyvhzvmm	175	15	becomes	become	VBZ
cord-239632-dyvhzvmm	175	16	available	available	JJ
cord-239632-dyvhzvmm	175	17	on	on	IN
cord-239632-dyvhzvmm	175	18	the	the	DT
cord-239632-dyvhzvmm	175	19	effect	effect	NN
cord-239632-dyvhzvmm	175	20	of	of	IN
cord-239632-dyvhzvmm	175	21	booster	booster	NN
cord-239632-dyvhzvmm	175	22	for	for	IN
cord-239632-dyvhzvmm	175	23	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	175	24	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	175	25	[	[	-LRB-
cord-239632-dyvhzvmm	175	26	26	26	CD
cord-239632-dyvhzvmm	175	27	]	]	-RRB-
cord-239632-dyvhzvmm	175	28	[	[	-LRB-
cord-239632-dyvhzvmm	175	29	27	27	CD
cord-239632-dyvhzvmm	175	30	]	]	-RRB-
cord-239632-dyvhzvmm	175	31	[	[	-LRB-
cord-239632-dyvhzvmm	175	32	28	28	CD
cord-239632-dyvhzvmm	175	33	]	]	-RRB-
cord-239632-dyvhzvmm	175	34	.	.	.
cord-239632-dyvhzvmm	176	1	This	this	DT
cord-239632-dyvhzvmm	176	2	type	type	NN
cord-239632-dyvhzvmm	176	3	of	of	IN
cord-239632-dyvhzvmm	176	4	analysis	analysis	NN
cord-239632-dyvhzvmm	176	5	could	could	MD
cord-239632-dyvhzvmm	176	6	also	also	RB
cord-239632-dyvhzvmm	176	7	be	be	VB
cord-239632-dyvhzvmm	176	8	important	important	JJ
cord-239632-dyvhzvmm	176	9	for	for	IN
cord-239632-dyvhzvmm	176	10	specific	specific	JJ
cord-239632-dyvhzvmm	176	11	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	176	12	as	as	IN
cord-239632-dyvhzvmm	176	13	more	more	JJR
cord-239632-dyvhzvmm	176	14	data	data	NN
cord-239632-dyvhzvmm	176	15	becomes	become	VBZ
cord-239632-dyvhzvmm	176	16	available	available	JJ
cord-239632-dyvhzvmm	176	17	from	from	IN
cord-239632-dyvhzvmm	176	18	clinical	clinical	JJ
cord-239632-dyvhzvmm	176	19	trials	trial	NNS
cord-239632-dyvhzvmm	176	20	and	and	CC
cord-239632-dyvhzvmm	176	21	measurements	measurement	NNS
cord-239632-dyvhzvmm	176	22	are	be	VBP
cord-239632-dyvhzvmm	176	23	made	make	VBN
cord-239632-dyvhzvmm	176	24	as	as	IN
cord-239632-dyvhzvmm	176	25	to	to	IN
cord-239632-dyvhzvmm	176	26	the	the	DT
cord-239632-dyvhzvmm	176	27	amount	amount	NN
cord-239632-dyvhzvmm	176	28	waning	waning	NN
cord-239632-dyvhzvmm	176	29	that	that	WDT
cord-239632-dyvhzvmm	176	30	occurs	occur	VBZ
cord-239632-dyvhzvmm	176	31	for	for	IN
cord-239632-dyvhzvmm	176	32	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	176	33	designed	design	VBN
cord-239632-dyvhzvmm	176	34	specifically	specifically	RB
cord-239632-dyvhzvmm	176	35	for	for	IN
cord-239632-dyvhzvmm	176	36	the	the	DT
cord-239632-dyvhzvmm	176	37	pandemic	pandemic	NN
cord-239632-dyvhzvmm	176	38	pathogen	pathogen	NN
cord-239632-dyvhzvmm	176	39	[	[	-LRB-
cord-239632-dyvhzvmm	176	40	29	29	CD
cord-239632-dyvhzvmm	176	41	]	]	-RRB-
cord-239632-dyvhzvmm	176	42	.	.	.
cord-239632-dyvhzvmm	177	1	Finally	finally	RB
cord-239632-dyvhzvmm	177	2	The	the	DT
cord-239632-dyvhzvmm	177	3	number	number	NN
cord-239632-dyvhzvmm	177	4	of	of	IN
cord-239632-dyvhzvmm	177	5	infections	infection	NNS
cord-239632-dyvhzvmm	177	6	per	per	IN
cord-239632-dyvhzvmm	177	7	day	day	NN
cord-239632-dyvhzvmm	177	8	remain	remain	VBP
cord-239632-dyvhzvmm	177	9	the	the	DT
cord-239632-dyvhzvmm	177	10	same	same	JJ
cord-239632-dyvhzvmm	177	11	with	with	IN
cord-239632-dyvhzvmm	177	12	or	or	CC
cord-239632-dyvhzvmm	177	13	without	without	IN
cord-239632-dyvhzvmm	177	14	the	the	DT
cord-239632-dyvhzvmm	177	15	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	177	16	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	177	17	in	in	IN
cord-239632-dyvhzvmm	177	18	the	the	DT
cord-239632-dyvhzvmm	177	19	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	177	20	model	model	NN
cord-239632-dyvhzvmm	177	21	we	-PRON-	PRP
cord-239632-dyvhzvmm	177	22	considered	consider	VBD
cord-239632-dyvhzvmm	177	23	.	.	.
cord-239632-dyvhzvmm	178	1	This	this	DT
cord-239632-dyvhzvmm	178	2	is	be	VBZ
cord-239632-dyvhzvmm	178	3	because	because	IN
cord-239632-dyvhzvmm	178	4	the	the	DT
cord-239632-dyvhzvmm	178	5	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	178	6	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	178	7	reduce	reduce	VBP
cord-239632-dyvhzvmm	178	8	the	the	DT
cord-239632-dyvhzvmm	178	9	severity	severity	NN
cord-239632-dyvhzvmm	178	10	of	of	IN
cord-239632-dyvhzvmm	178	11	the	the	DT
cord-239632-dyvhzvmm	178	12	illness	illness	NN
cord-239632-dyvhzvmm	178	13	and	and	CC
cord-239632-dyvhzvmm	178	14	lower	low	JJR
cord-239632-dyvhzvmm	178	15	mortality	mortality	NN
cord-239632-dyvhzvmm	178	16	but	but	CC
cord-239632-dyvhzvmm	178	17	do	do	VBP
cord-239632-dyvhzvmm	178	18	not	not	RB
cord-239632-dyvhzvmm	178	19	prevent	prevent	VB
cord-239632-dyvhzvmm	178	20	infection	infection	NN
cord-239632-dyvhzvmm	178	21	with	with	IN
cord-239632-dyvhzvmm	178	22	the	the	DT
cord-239632-dyvhzvmm	178	23	pandemic	pandemic	JJ
cord-239632-dyvhzvmm	178	24	pathogen	pathogen	NN
cord-239632-dyvhzvmm	178	25	as	as	IN
cord-239632-dyvhzvmm	178	26	would	would	MD
cord-239632-dyvhzvmm	178	27	happen	happen	VB
cord-239632-dyvhzvmm	178	28	with	with	IN
cord-239632-dyvhzvmm	178	29	a	a	DT
cord-239632-dyvhzvmm	178	30	specific	specific	JJ
cord-239632-dyvhzvmm	178	31	vaccine	vaccine	NN
cord-239632-dyvhzvmm	178	32	targeted	target	VBN
cord-239632-dyvhzvmm	178	33	to	to	IN
cord-239632-dyvhzvmm	178	34	the	the	DT
cord-239632-dyvhzvmm	178	35	pandemic	pandemic	NN
cord-239632-dyvhzvmm	178	36	virus	virus	NN
cord-239632-dyvhzvmm	178	37	[	[	-LRB-
cord-239632-dyvhzvmm	178	38	29	29	CD
cord-239632-dyvhzvmm	178	39	]	]	-RRB-
cord-239632-dyvhzvmm	178	40	.	.	.
cord-239632-dyvhzvmm	179	1	For	for	IN
cord-239632-dyvhzvmm	179	2	early	early	JJ
cord-239632-dyvhzvmm	179	3	stages	stage	NNS
cord-239632-dyvhzvmm	179	4	of	of	IN
cord-239632-dyvhzvmm	179	5	pandemics	pandemic	NNS
cord-239632-dyvhzvmm	179	6	model	model	NN
cord-239632-dyvhzvmm	179	7	parameters	parameter	NNS
cord-239632-dyvhzvmm	179	8	are	be	VBP
cord-239632-dyvhzvmm	179	9	not	not	RB
cord-239632-dyvhzvmm	179	10	known	know	VBN
cord-239632-dyvhzvmm	179	11	accurately	accurately	RB
cord-239632-dyvhzvmm	179	12	.	.	.
cord-239632-dyvhzvmm	180	1	To	to	TO
cord-239632-dyvhzvmm	180	2	gauge	gauge	VB
cord-239632-dyvhzvmm	180	3	the	the	DT
cord-239632-dyvhzvmm	180	4	effects	effect	NNS
cord-239632-dyvhzvmm	180	5	of	of	IN
cord-239632-dyvhzvmm	180	6	parameter	parameter	NN
cord-239632-dyvhzvmm	180	7	uncertainties	uncertainty	NNS
cord-239632-dyvhzvmm	180	8	in	in	IN
cord-239632-dyvhzvmm	180	9	figure	figure	NN
cord-239632-dyvhzvmm	180	10	12	12	CD
cord-239632-dyvhzvmm	180	11	we	-PRON-	PRP
cord-239632-dyvhzvmm	180	12	vary	vary	VBP
cord-239632-dyvhzvmm	180	13	the	the	DT
cord-239632-dyvhzvmm	180	14	important	important	JJ
cord-239632-dyvhzvmm	180	15	parameter	parameter	NN
cord-239632-dyvhzvmm	180	16	β	β	NN
cord-239632-dyvhzvmm	180	17	to	to	TO
cord-239632-dyvhzvmm	180	18	see	see	VB
cord-239632-dyvhzvmm	180	19	its	-PRON-	PRP$
cord-239632-dyvhzvmm	180	20	effects	effect	NNS
cord-239632-dyvhzvmm	180	21	on	on	IN
cord-239632-dyvhzvmm	180	22	the	the	DT
cord-239632-dyvhzvmm	180	23	simulation	simulation	NN
cord-239632-dyvhzvmm	180	24	.	.	.
cord-239632-dyvhzvmm	181	1	For	for	IN
cord-239632-dyvhzvmm	181	2	figure	figure	NN
cord-239632-dyvhzvmm	181	3	12	12	CD
cord-239632-dyvhzvmm	181	4	(	(	-LRB-
cord-239632-dyvhzvmm	181	5	left	left	RB
cord-239632-dyvhzvmm	181	6	)	)	-RRB-
cord-239632-dyvhzvmm	181	7	increasing	increase	VBG
cord-239632-dyvhzvmm	181	8	β	β	XX
cord-239632-dyvhzvmm	181	9	by	by	IN
cord-239632-dyvhzvmm	181	10	10	10	CD
cord-239632-dyvhzvmm	181	11	percent	percent	NN
cord-239632-dyvhzvmm	181	12	increased	increase	VBD
cord-239632-dyvhzvmm	181	13	the	the	DT
cord-239632-dyvhzvmm	181	14	deaths	death	NNS
cord-239632-dyvhzvmm	181	15	in	in	IN
cord-239632-dyvhzvmm	181	16	the	the	DT
cord-239632-dyvhzvmm	181	17	simulation	simulation	NN
cord-239632-dyvhzvmm	181	18	without	without	IN
cord-239632-dyvhzvmm	181	19	the	the	DT
cord-239632-dyvhzvmm	181	20	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	181	21	vaccine	vaccine	NN
cord-239632-dyvhzvmm	181	22	from	from	IN
cord-239632-dyvhzvmm	181	23	158	158	CD
cord-239632-dyvhzvmm	181	24	to	to	TO
cord-239632-dyvhzvmm	181	25	164	164	CD
cord-239632-dyvhzvmm	181	26	for	for	IN
cord-239632-dyvhzvmm	181	27	the	the	DT
cord-239632-dyvhzvmm	181	28	younger	young	JJR
cord-239632-dyvhzvmm	181	29	age	age	NN
cord-239632-dyvhzvmm	181	30	group	group	NN
cord-239632-dyvhzvmm	181	31	and	and	CC
cord-239632-dyvhzvmm	181	32	from	from	IN
cord-239632-dyvhzvmm	181	33	1351	1351	CD
cord-239632-dyvhzvmm	181	34	to	to	IN
cord-239632-dyvhzvmm	181	35	1406	1406	CD
cord-239632-dyvhzvmm	181	36	for	for	IN
cord-239632-dyvhzvmm	181	37	the	the	DT
cord-239632-dyvhzvmm	181	38	older	old	JJR
cord-239632-dyvhzvmm	181	39	age	age	NN
cord-239632-dyvhzvmm	181	40	group	group	NN
cord-239632-dyvhzvmm	181	41	.	.	.
cord-239632-dyvhzvmm	182	1	Decreasing	decrease	VBG
cord-239632-dyvhzvmm	182	2	β	β	XX
cord-239632-dyvhzvmm	182	3	by	by	IN
cord-239632-dyvhzvmm	182	4	10	10	CD
cord-239632-dyvhzvmm	182	5	percent	percent	NN
cord-239632-dyvhzvmm	182	6	decreased	decrease	VBD
cord-239632-dyvhzvmm	182	7	the	the	DT
cord-239632-dyvhzvmm	182	8	deaths	death	NNS
cord-239632-dyvhzvmm	182	9	in	in	IN
cord-239632-dyvhzvmm	182	10	the	the	DT
cord-239632-dyvhzvmm	182	11	simulation	simulation	NN
cord-239632-dyvhzvmm	182	12	without	without	IN
cord-239632-dyvhzvmm	182	13	the	the	DT
cord-239632-dyvhzvmm	182	14	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	182	15	vaccine	vaccine	NN
cord-239632-dyvhzvmm	182	16	in	in	IN
cord-239632-dyvhzvmm	182	17	the	the	DT
cord-239632-dyvhzvmm	182	18	younger	young	JJR
cord-239632-dyvhzvmm	182	19	group	group	NN
cord-239632-dyvhzvmm	182	20	from	from	IN
cord-239632-dyvhzvmm	182	21	158	158	CD
cord-239632-dyvhzvmm	182	22	to	to	TO
cord-239632-dyvhzvmm	182	23	150	150	CD
cord-239632-dyvhzvmm	182	24	and	and	CC
cord-239632-dyvhzvmm	182	25	from	from	IN
cord-239632-dyvhzvmm	182	26	1351	1351	CD
cord-239632-dyvhzvmm	182	27	to	to	IN
cord-239632-dyvhzvmm	182	28	1277	1277	CD
cord-239632-dyvhzvmm	182	29	in	in	IN
cord-239632-dyvhzvmm	182	30	the	the	DT
cord-239632-dyvhzvmm	182	31	older	old	JJR
cord-239632-dyvhzvmm	182	32	age	age	NN
cord-239632-dyvhzvmm	182	33	group	group	NN
cord-239632-dyvhzvmm	182	34	.	.	.
cord-239632-dyvhzvmm	183	1	For	for	IN
cord-239632-dyvhzvmm	183	2	figure	figure	NN
cord-239632-dyvhzvmm	183	3	12	12	CD
cord-239632-dyvhzvmm	183	4	(	(	-LRB-
cord-239632-dyvhzvmm	183	5	right	right	RB
cord-239632-dyvhzvmm	183	6	)	)	-RRB-
cord-239632-dyvhzvmm	183	7	increasing	increase	VBG
cord-239632-dyvhzvmm	183	8	β	β	XX
cord-239632-dyvhzvmm	183	9	by	by	IN
cord-239632-dyvhzvmm	183	10	10	10	CD
cord-239632-dyvhzvmm	183	11	percent	percent	NN
cord-239632-dyvhzvmm	183	12	increased	increase	VBD
cord-239632-dyvhzvmm	183	13	the	the	DT
cord-239632-dyvhzvmm	183	14	deaths	death	NNS
cord-239632-dyvhzvmm	183	15	in	in	IN
cord-239632-dyvhzvmm	183	16	the	the	DT
cord-239632-dyvhzvmm	183	17	simulation	simulation	NN
cord-239632-dyvhzvmm	183	18	with	with	IN
cord-239632-dyvhzvmm	183	19	the	the	DT
cord-239632-dyvhzvmm	183	20	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	183	21	vaccine	vaccine	NN
cord-239632-dyvhzvmm	183	22	from	from	IN
cord-239632-dyvhzvmm	183	23	86	86	CD
cord-239632-dyvhzvmm	183	24	to	to	IN
cord-239632-dyvhzvmm	183	25	89	89	CD
cord-239632-dyvhzvmm	183	26	for	for	IN
cord-239632-dyvhzvmm	183	27	the	the	DT
cord-239632-dyvhzvmm	183	28	younger	young	JJR
cord-239632-dyvhzvmm	183	29	age	age	NN
cord-239632-dyvhzvmm	183	30	group	group	NN
cord-239632-dyvhzvmm	183	31	and	and	CC
cord-239632-dyvhzvmm	183	32	from	from	IN
cord-239632-dyvhzvmm	183	33	1283	1283	CD
cord-239632-dyvhzvmm	183	34	to	to	IN
cord-239632-dyvhzvmm	183	35	1335	1335	CD
cord-239632-dyvhzvmm	183	36	for	for	IN
cord-239632-dyvhzvmm	183	37	the	the	DT
cord-239632-dyvhzvmm	183	38	older	old	JJR
cord-239632-dyvhzvmm	183	39	age	age	NN
cord-239632-dyvhzvmm	183	40	group	group	NN
cord-239632-dyvhzvmm	183	41	.	.	.
cord-239632-dyvhzvmm	184	1	Decreasing	decrease	VBG
cord-239632-dyvhzvmm	184	2	β	β	XX
cord-239632-dyvhzvmm	184	3	by	by	IN
cord-239632-dyvhzvmm	184	4	10	10	CD
cord-239632-dyvhzvmm	184	5	percent	percent	NN
cord-239632-dyvhzvmm	184	6	decreased	decrease	VBD
cord-239632-dyvhzvmm	184	7	the	the	DT
cord-239632-dyvhzvmm	184	8	deaths	death	NNS
cord-239632-dyvhzvmm	184	9	in	in	IN
cord-239632-dyvhzvmm	184	10	the	the	DT
cord-239632-dyvhzvmm	184	11	simulation	simulation	NN
cord-239632-dyvhzvmm	184	12	without	without	IN
cord-239632-dyvhzvmm	184	13	the	the	DT
cord-239632-dyvhzvmm	184	14	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	184	15	vaccine	vaccine	NN
cord-239632-dyvhzvmm	184	16	in	in	IN
cord-239632-dyvhzvmm	184	17	the	the	DT
cord-239632-dyvhzvmm	184	18	younger	young	JJR
cord-239632-dyvhzvmm	184	19	group	group	NN
cord-239632-dyvhzvmm	184	20	from	from	IN
cord-239632-dyvhzvmm	184	21	86	86	CD
cord-239632-dyvhzvmm	184	22	to	to	IN
cord-239632-dyvhzvmm	184	23	82	82	CD
cord-239632-dyvhzvmm	184	24	and	and	CC
cord-239632-dyvhzvmm	184	25	from	from	IN
cord-239632-dyvhzvmm	184	26	1283	1283	CD
cord-239632-dyvhzvmm	184	27	to	to	IN
cord-239632-dyvhzvmm	184	28	1212	1212	CD
cord-239632-dyvhzvmm	184	29	in	in	IN
cord-239632-dyvhzvmm	184	30	the	the	DT
cord-239632-dyvhzvmm	184	31	older	old	JJR
cord-239632-dyvhzvmm	184	32	age	age	NN
cord-239632-dyvhzvmm	184	33	group	group	NN
cord-239632-dyvhzvmm	184	34	.	.	.
cord-239632-dyvhzvmm	185	1	In	in	IN
cord-239632-dyvhzvmm	185	2	this	this	DT
cord-239632-dyvhzvmm	185	3	paper	paper	NN
cord-239632-dyvhzvmm	185	4	we	-PRON-	PRP
cord-239632-dyvhzvmm	185	5	have	have	VBP
cord-239632-dyvhzvmm	185	6	examined	examine	VBN
cord-239632-dyvhzvmm	185	7	some	some	DT
cord-239632-dyvhzvmm	185	8	similar	similar	JJ
cord-239632-dyvhzvmm	185	9	concepts	concept	NNS
cord-239632-dyvhzvmm	185	10	in	in	IN
cord-239632-dyvhzvmm	185	11	the	the	DT
cord-239632-dyvhzvmm	185	12	renormalization	renormalization	NN
cord-239632-dyvhzvmm	185	13	group	group	NN
cord-239632-dyvhzvmm	185	14	equations	equation	NNS
cord-239632-dyvhzvmm	185	15	of	of	IN
cord-239632-dyvhzvmm	185	16	high	high	JJ
cord-239632-dyvhzvmm	185	17	energy	energy	NN
cord-239632-dyvhzvmm	185	18	physics	physics	NN
cord-239632-dyvhzvmm	185	19	and	and	CC
cord-239632-dyvhzvmm	185	20	pandemic	pandemic	NN
cord-239632-dyvhzvmm	185	21	modeling	modeling	NN
cord-239632-dyvhzvmm	185	22	based	base	VBN
cord-239632-dyvhzvmm	185	23	on	on	IN
cord-239632-dyvhzvmm	185	24	differential	differential	JJ
cord-239632-dyvhzvmm	185	25	equations	equation	NNS
cord-239632-dyvhzvmm	185	26	.	.	.
cord-239632-dyvhzvmm	186	1	This	this	DT
cord-239632-dyvhzvmm	186	2	include	include	VBP
cord-239632-dyvhzvmm	186	3	the	the	DT
cord-239632-dyvhzvmm	186	4	nonlinear	nonlinear	JJ
cord-239632-dyvhzvmm	186	5	behavior	behavior	NN
cord-239632-dyvhzvmm	186	6	of	of	IN
cord-239632-dyvhzvmm	186	7	the	the	DT
cord-239632-dyvhzvmm	186	8	differential	differential	JJ
cord-239632-dyvhzvmm	186	9	equations	equation	NNS
cord-239632-dyvhzvmm	186	10	,	,	,
cord-239632-dyvhzvmm	186	11	the	the	DT
cord-239632-dyvhzvmm	186	12	dependence	dependence	NN
cord-239632-dyvhzvmm	186	13	on	on	IN
cord-239632-dyvhzvmm	186	14	the	the	DT
cord-239632-dyvhzvmm	186	15	initial	initial	JJ
cord-239632-dyvhzvmm	186	16	conditions	condition	NNS
cord-239632-dyvhzvmm	186	17	and	and	CC
cord-239632-dyvhzvmm	186	18	renormlalization	renormlalization	NN
cord-239632-dyvhzvmm	186	19	group	group	NN
cord-239632-dyvhzvmm	186	20	evolution	evolution	NN
cord-239632-dyvhzvmm	186	21	,	,	,
cord-239632-dyvhzvmm	186	22	the	the	DT
cord-239632-dyvhzvmm	186	23	similar	similar	JJ
cord-239632-dyvhzvmm	186	24	nature	nature	NN
cord-239632-dyvhzvmm	186	25	of	of	IN
cord-239632-dyvhzvmm	186	26	the	the	DT
cord-239632-dyvhzvmm	186	27	contact	contact	NN
cord-239632-dyvhzvmm	186	28	matrix	matrix	NN
cord-239632-dyvhzvmm	186	29	between	between	IN
cord-239632-dyvhzvmm	186	30	compartment	compartment	NN
cord-239632-dyvhzvmm	186	31	groups	group	NNS
cord-239632-dyvhzvmm	186	32	in	in	IN
cord-239632-dyvhzvmm	186	33	epidemic	epidemic	NN
cord-239632-dyvhzvmm	186	34	modeling	modeling	NN
cord-239632-dyvhzvmm	186	35	and	and	CC
cord-239632-dyvhzvmm	186	36	the	the	DT
cord-239632-dyvhzvmm	186	37	notion	notion	NN
cord-239632-dyvhzvmm	186	38	of	of	IN
cord-239632-dyvhzvmm	186	39	operator	operator	NN
cord-239632-dyvhzvmm	186	40	mixing	mixing	NN
cord-239632-dyvhzvmm	186	41	and	and	CC
cord-239632-dyvhzvmm	186	42	fixed	fix	VBN
cord-239632-dyvhzvmm	186	43	points	point	NNS
cord-239632-dyvhzvmm	186	44	in	in	IN
cord-239632-dyvhzvmm	186	45	the	the	DT
cord-239632-dyvhzvmm	186	46	renormalization	renormalization	NN
cord-239632-dyvhzvmm	186	47	group	group	NN
cord-239632-dyvhzvmm	186	48	equations	equation	NNS
cord-239632-dyvhzvmm	186	49	.	.	.
cord-239632-dyvhzvmm	187	1	We	-PRON-	PRP
cord-239632-dyvhzvmm	187	2	put	put	VBD
cord-239632-dyvhzvmm	187	3	these	these	DT
cord-239632-dyvhzvmm	187	4	features	feature	NNS
cord-239632-dyvhzvmm	187	5	together	together	RB
cord-239632-dyvhzvmm	187	6	in	in	IN
cord-239632-dyvhzvmm	187	7	models	model	NNS
cord-239632-dyvhzvmm	187	8	with	with	IN
cord-239632-dyvhzvmm	187	9	mixing	mix	VBG
cord-239632-dyvhzvmm	187	10	between	between	IN
cord-239632-dyvhzvmm	187	11	different	different	JJ
cord-239632-dyvhzvmm	187	12	age	age	NN
cord-239632-dyvhzvmm	187	13	groups	group	NNS
cord-239632-dyvhzvmm	187	14	,	,	,
cord-239632-dyvhzvmm	187	15	mixing	mix	VBG
cord-239632-dyvhzvmm	187	16	with	with	IN
cord-239632-dyvhzvmm	187	17	different	different	JJ
cord-239632-dyvhzvmm	187	18	countries	country	NNS
cord-239632-dyvhzvmm	187	19	and	and	CC
cord-239632-dyvhzvmm	187	20	the	the	DT
cord-239632-dyvhzvmm	187	21	effect	effect	NN
cord-239632-dyvhzvmm	187	22	of	of	IN
cord-239632-dyvhzvmm	187	23	waning	wane	VBG
cord-239632-dyvhzvmm	187	24	of	of	IN
cord-239632-dyvhzvmm	187	25	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	187	26	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	187	27	that	that	WDT
cord-239632-dyvhzvmm	187	28	were	be	VBD
cord-239632-dyvhzvmm	187	29	designed	design	VBN
cord-239632-dyvhzvmm	187	30	for	for	IN
cord-239632-dyvhzvmm	187	31	different	different	JJ
cord-239632-dyvhzvmm	187	32	diseases	disease	NNS
cord-239632-dyvhzvmm	187	33	but	but	CC
cord-239632-dyvhzvmm	187	34	can	can	MD
cord-239632-dyvhzvmm	187	35	lessen	lessen	VB
cord-239632-dyvhzvmm	187	36	the	the	DT
cord-239632-dyvhzvmm	187	37	severity	severity	NN
cord-239632-dyvhzvmm	187	38	of	of	IN
cord-239632-dyvhzvmm	187	39	infection	infection	NN
cord-239632-dyvhzvmm	187	40	and	and	CC
cord-239632-dyvhzvmm	187	41	mortality	mortality	NN
cord-239632-dyvhzvmm	187	42	for	for	IN
cord-239632-dyvhzvmm	187	43	a	a	DT
cord-239632-dyvhzvmm	187	44	pathogen	pathogen	NN
cord-239632-dyvhzvmm	187	45	associated	associate	VBN
cord-239632-dyvhzvmm	187	46	with	with	IN
cord-239632-dyvhzvmm	187	47	a	a	DT
cord-239632-dyvhzvmm	187	48	pandemic	pandemic	NN
cord-239632-dyvhzvmm	187	49	.	.	.
cord-239632-dyvhzvmm	188	1	In	in	IN
cord-239632-dyvhzvmm	188	2	the	the	DT
cord-239632-dyvhzvmm	188	3	future	future	NN
cord-239632-dyvhzvmm	188	4	it	-PRON-	PRP
cord-239632-dyvhzvmm	188	5	would	would	MD
cord-239632-dyvhzvmm	188	6	be	be	VB
cord-239632-dyvhzvmm	188	7	interesting	interesting	JJ
cord-239632-dyvhzvmm	188	8	to	to	TO
cord-239632-dyvhzvmm	188	9	extend	extend	VB
cord-239632-dyvhzvmm	188	10	these	these	DT
cord-239632-dyvhzvmm	188	11	case	case	NN
cord-239632-dyvhzvmm	188	12	studies	study	NNS
cord-239632-dyvhzvmm	188	13	using	use	VBG
cord-239632-dyvhzvmm	188	14	more	more	JJR
cord-239632-dyvhzvmm	188	15	data	datum	NNS
cord-239632-dyvhzvmm	188	16	with	with	IN
cord-239632-dyvhzvmm	188	17	respect	respect	NN
cord-239632-dyvhzvmm	188	18	to	to	IN
cord-239632-dyvhzvmm	188	19	different	different	JJ
cord-239632-dyvhzvmm	188	20	regions	region	NNS
cord-239632-dyvhzvmm	188	21	,	,	,
cord-239632-dyvhzvmm	188	22	age	age	NN
cord-239632-dyvhzvmm	188	23	demographics	demographic	NNS
cord-239632-dyvhzvmm	188	24	and	and	CC
cord-239632-dyvhzvmm	188	25	age	age	NN
cord-239632-dyvhzvmm	188	26	related	related	JJ
cord-239632-dyvhzvmm	188	27	mortality	mortality	NN
cord-239632-dyvhzvmm	188	28	.	.	.
cord-239632-dyvhzvmm	189	1	It	-PRON-	PRP
cord-239632-dyvhzvmm	189	2	will	will	MD
cord-239632-dyvhzvmm	189	3	also	also	RB
cord-239632-dyvhzvmm	189	4	be	be	VB
cord-239632-dyvhzvmm	189	5	interesting	interesting	JJ
cord-239632-dyvhzvmm	189	6	to	to	TO
cord-239632-dyvhzvmm	189	7	extend	extend	VB
cord-239632-dyvhzvmm	189	8	the	the	DT
cord-239632-dyvhzvmm	189	9	contact	contact	NN
cord-239632-dyvhzvmm	189	10	matrix	matrix	NN
cord-239632-dyvhzvmm	189	11	study	study	NN
cord-239632-dyvhzvmm	189	12	with	with	IN
cord-239632-dyvhzvmm	189	13	different	different	JJ
cord-239632-dyvhzvmm	189	14	countries	country	NNS
cord-239632-dyvhzvmm	189	15	as	as	IN
cord-239632-dyvhzvmm	189	16	travel	travel	NN
cord-239632-dyvhzvmm	189	17	is	be	VBZ
cord-239632-dyvhzvmm	189	18	resumed	resume	VBN
cord-239632-dyvhzvmm	189	19	between	between	IN
cord-239632-dyvhzvmm	189	20	countries	country	NNS
cord-239632-dyvhzvmm	189	21	with	with	IN
cord-239632-dyvhzvmm	189	22	lower	low	JJR
cord-239632-dyvhzvmm	189	23	rates	rate	NNS
cord-239632-dyvhzvmm	189	24	of	of	IN
cord-239632-dyvhzvmm	189	25	infection	infection	NN
cord-239632-dyvhzvmm	189	26	.	.	.
cord-239632-dyvhzvmm	190	1	Finally	finally	RB
cord-239632-dyvhzvmm	190	2	we	-PRON-	PRP
cord-239632-dyvhzvmm	190	3	would	would	MD
cord-239632-dyvhzvmm	190	4	like	like	VB
cord-239632-dyvhzvmm	190	5	to	to	TO
cord-239632-dyvhzvmm	190	6	update	update	VB
cord-239632-dyvhzvmm	190	7	the	the	DT
cord-239632-dyvhzvmm	190	8	model	model	NN
cord-239632-dyvhzvmm	190	9	associated	associate	VBN
cord-239632-dyvhzvmm	190	10	with	with	IN
cord-239632-dyvhzvmm	190	11	waning	wane	VBG
cord-239632-dyvhzvmm	190	12	of	of	IN
cord-239632-dyvhzvmm	190	13	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	190	14	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	190	15	as	as	RB
cord-239632-dyvhzvmm	190	16	well	well	RB
cord-239632-dyvhzvmm	190	17	as	as	IN
cord-239632-dyvhzvmm	190	18	specific	specific	JJ
cord-239632-dyvhzvmm	190	19	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	190	20	as	as	IN
cord-239632-dyvhzvmm	190	21	more	more	JJR
cord-239632-dyvhzvmm	190	22	data	data	NN
cord-239632-dyvhzvmm	190	23	becomes	become	VBZ
cord-239632-dyvhzvmm	190	24	available	available	JJ
cord-239632-dyvhzvmm	190	25	from	from	IN
cord-239632-dyvhzvmm	190	26	clinical	clinical	JJ
cord-239632-dyvhzvmm	190	27	trials	trial	NNS
cord-239632-dyvhzvmm	190	28	about	about	IN
cord-239632-dyvhzvmm	190	29	the	the	DT
cord-239632-dyvhzvmm	190	30	effect	effect	NN
cord-239632-dyvhzvmm	190	31	of	of	IN
cord-239632-dyvhzvmm	190	32	nonspecific	nonspecific	JJ
cord-239632-dyvhzvmm	190	33	and	and	CC
cord-239632-dyvhzvmm	190	34	specific	specific	JJ
cord-239632-dyvhzvmm	190	35	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	190	36	on	on	IN
cord-239632-dyvhzvmm	190	37	the	the	DT
cord-239632-dyvhzvmm	190	38	rate	rate	NN
cord-239632-dyvhzvmm	190	39	of	of	IN
cord-239632-dyvhzvmm	190	40	mortality	mortality	NN
cord-239632-dyvhzvmm	190	41	for	for	IN
cord-239632-dyvhzvmm	190	42	the	the	DT
cord-239632-dyvhzvmm	190	43	pandemic	pandemic	NN
cord-239632-dyvhzvmm	190	44	.	.	.
cord-239632-dyvhzvmm	191	1	Nonperturbative	Nonperturbative	NNP
cord-239632-dyvhzvmm	191	2	Renormalization	Renormalization	NNP
cord-239632-dyvhzvmm	191	3	Group	Group	NNP
cord-239632-dyvhzvmm	191	4	for	for	IN
cord-239632-dyvhzvmm	191	5	the	the	DT
cord-239632-dyvhzvmm	191	6	Diffusive	Diffusive	NNP
cord-239632-dyvhzvmm	191	7	Epidemic	Epidemic	NNP
cord-239632-dyvhzvmm	191	8	Process	Process	NNP
cord-239632-dyvhzvmm	191	9	Renormalization	Renormalization	NNP
cord-239632-dyvhzvmm	191	10	Group	Group	NNP
cord-239632-dyvhzvmm	191	11	Approach	Approach	NNP
cord-239632-dyvhzvmm	191	12	to	to	IN
cord-239632-dyvhzvmm	191	13	Pandemics	pandemic	NNS
cord-239632-dyvhzvmm	191	14	:	:	:
cord-239632-dyvhzvmm	192	1	The	the	DT
cord-239632-dyvhzvmm	192	2	COVID-19	COVID-19	NNP
cord-239632-dyvhzvmm	192	3	Case	case	NN
cord-239632-dyvhzvmm	193	1	A	a	DT
cord-239632-dyvhzvmm	193	2	Contribution	contribution	NN
cord-239632-dyvhzvmm	193	3	to	to	IN
cord-239632-dyvhzvmm	193	4	the	the	DT
cord-239632-dyvhzvmm	193	5	Mathematical	Mathematical	NNP
cord-239632-dyvhzvmm	193	6	Theory	Theory	NNP
cord-239632-dyvhzvmm	193	7	of	of	IN
cord-239632-dyvhzvmm	193	8	Epidemics	epidemic	NNS
cord-239632-dyvhzvmm	194	1	Simple	simple	JJ
cord-239632-dyvhzvmm	194	2	models	model	NNS
cord-239632-dyvhzvmm	194	3	for	for	IN
cord-239632-dyvhzvmm	194	4	containment	containment	NN
cord-239632-dyvhzvmm	194	5	of	of	IN
cord-239632-dyvhzvmm	194	6	a	a	DT
cord-239632-dyvhzvmm	194	7	pandemic	pandemic	NN
cord-239632-dyvhzvmm	194	8	A	a	DT
cord-239632-dyvhzvmm	194	9	model	model	NN
cord-239632-dyvhzvmm	194	10	for	for	IN
cord-239632-dyvhzvmm	194	11	influenza	influenza	NN
cord-239632-dyvhzvmm	194	12	with	with	IN
cord-239632-dyvhzvmm	194	13	vaccination	vaccination	NN
cord-239632-dyvhzvmm	194	14	and	and	CC
cord-239632-dyvhzvmm	194	15	antiviral	antiviral	JJ
cord-239632-dyvhzvmm	194	16	treatment	treatment	NN
cord-239632-dyvhzvmm	195	1	The	the	DT
cord-239632-dyvhzvmm	195	2	SIR	SIR	NNP
cord-239632-dyvhzvmm	195	3	model	model	NN
cord-239632-dyvhzvmm	195	4	and	and	CC
cord-239632-dyvhzvmm	195	5	the	the	DT
cord-239632-dyvhzvmm	195	6	foundation	foundation	NN
cord-239632-dyvhzvmm	195	7	of	of	IN
cord-239632-dyvhzvmm	195	8	public	public	JJ
cord-239632-dyvhzvmm	195	9	health	health	NN
cord-239632-dyvhzvmm	195	10	Influenza	Influenza	NNP
cord-239632-dyvhzvmm	195	11	models	model	NNS
cord-239632-dyvhzvmm	195	12	with	with	IN
cord-239632-dyvhzvmm	195	13	Wolfram	Wolfram	NNP
cord-239632-dyvhzvmm	195	14	Mathematica	Mathematica	NNP
cord-239632-dyvhzvmm	195	15	Self	self	NN
cord-239632-dyvhzvmm	195	16	-	-	HYPH
cord-239632-dyvhzvmm	195	17	consistence	consistence	NN
cord-239632-dyvhzvmm	195	18	of	of	IN
cord-239632-dyvhzvmm	195	19	the	the	DT
cord-239632-dyvhzvmm	195	20	Standard	Standard	NNP
cord-239632-dyvhzvmm	195	21	Model	Model	NNP
cord-239632-dyvhzvmm	195	22	via	via	IN
cord-239632-dyvhzvmm	195	23	the	the	DT
cord-239632-dyvhzvmm	195	24	renormalization	renormalization	NN
cord-239632-dyvhzvmm	195	25	group	group	NN
cord-239632-dyvhzvmm	195	26	analysis	analysis	NN
cord-239632-dyvhzvmm	195	27	Renormalization	Renormalization	NNP
cord-239632-dyvhzvmm	195	28	-	-	HYPH
cord-239632-dyvhzvmm	195	29	Group	Group	NNP
cord-239632-dyvhzvmm	195	30	Flows	flow	VBZ
cord-239632-dyvhzvmm	195	31	and	and	CC
cord-239632-dyvhzvmm	195	32	Fixed	fix	VBN
cord-239632-dyvhzvmm	195	33	Points	Points	NNP
cord-239632-dyvhzvmm	195	34	in	in	IN
cord-239632-dyvhzvmm	195	35	Yukawa	Yukawa	NNP
cord-239632-dyvhzvmm	195	36	Theories	Theories	NNP
cord-239632-dyvhzvmm	195	37	Fixed	Fixed	NNP
cord-239632-dyvhzvmm	195	38	point	point	NN
cord-239632-dyvhzvmm	195	39	analysis	analysis	NN
cord-239632-dyvhzvmm	195	40	of	of	IN
cord-239632-dyvhzvmm	195	41	the	the	DT
cord-239632-dyvhzvmm	195	42	Kermack	Kermack	NNP
cord-239632-dyvhzvmm	195	43	McKendrick	McKendrick	NNP
cord-239632-dyvhzvmm	195	44	SIR	SIR	NNP
cord-239632-dyvhzvmm	195	45	Model	Model	NNP
cord-239632-dyvhzvmm	195	46	A	a	DT
cord-239632-dyvhzvmm	195	47	fixed	fix	VBN
cord-239632-dyvhzvmm	195	48	point	point	NN
cord-239632-dyvhzvmm	195	49	theorem	theorem	NN
cord-239632-dyvhzvmm	195	50	for	for	IN
cord-239632-dyvhzvmm	195	51	a	a	DT
cord-239632-dyvhzvmm	195	52	general	general	JJ
cord-239632-dyvhzvmm	195	53	epidemic	epidemic	NN
cord-239632-dyvhzvmm	195	54	model	model	NN
cord-239632-dyvhzvmm	195	55	Social	social	JJ
cord-239632-dyvhzvmm	195	56	contacts	contact	NNS
cord-239632-dyvhzvmm	195	57	and	and	CC
cord-239632-dyvhzvmm	195	58	mixing	mix	VBG
cord-239632-dyvhzvmm	195	59	patterns	pattern	NNS
cord-239632-dyvhzvmm	195	60	relevant	relevant	JJ
cord-239632-dyvhzvmm	195	61	to	to	IN
cord-239632-dyvhzvmm	195	62	the	the	DT
cord-239632-dyvhzvmm	195	63	spread	spread	NN
cord-239632-dyvhzvmm	195	64	of	of	IN
cord-239632-dyvhzvmm	195	65	infectious	infectious	JJ
cord-239632-dyvhzvmm	195	66	diseases	disease	NNS
cord-239632-dyvhzvmm	195	67	Estimating	Estimating	NNP
cord-239632-dyvhzvmm	195	68	and	and	CC
cord-239632-dyvhzvmm	195	69	simulating	simulate	VBG
cord-239632-dyvhzvmm	195	70	a	a	DT
cord-239632-dyvhzvmm	195	71	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	195	72	model	model	NN
cord-239632-dyvhzvmm	195	73	of	of	IN
cord-239632-dyvhzvmm	195	74	COVID-19	COVID-19	NNP
cord-239632-dyvhzvmm	195	75	for	for	IN
cord-239632-dyvhzvmm	195	76	many	many	JJ
cord-239632-dyvhzvmm	195	77	countries	country	NNS
cord-239632-dyvhzvmm	195	78	,	,	,
cord-239632-dyvhzvmm	195	79	states	state	NNS
cord-239632-dyvhzvmm	195	80	and	and	CC
cord-239632-dyvhzvmm	195	81	cities	city	NNS
cord-239632-dyvhzvmm	195	82	Studying	study	VBG
cord-239632-dyvhzvmm	195	83	the	the	DT
cord-239632-dyvhzvmm	195	84	progress	progress	NN
cord-239632-dyvhzvmm	195	85	of	of	IN
cord-239632-dyvhzvmm	195	86	COVID-19	covid-19	JJ
cord-239632-dyvhzvmm	195	87	outbreak	outbreak	NN
cord-239632-dyvhzvmm	195	88	in	in	IN
cord-239632-dyvhzvmm	195	89	India	India	NNP
cord-239632-dyvhzvmm	195	90	using	use	VBG
cord-239632-dyvhzvmm	195	91	the	the	DT
cord-239632-dyvhzvmm	195	92	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	195	93	model	model	NN
cord-239632-dyvhzvmm	195	94	Analyzing	analyze	VBG
cord-239632-dyvhzvmm	195	95	COVID-19	COVID-19	NNP
cord-239632-dyvhzvmm	195	96	data	datum	NNS
cord-239632-dyvhzvmm	195	97	using	use	VBG
cord-239632-dyvhzvmm	195	98	SIRD	SIRD	NNP
cord-239632-dyvhzvmm	195	99	Models	Models	NNPS
cord-239632-dyvhzvmm	195	100	Stability	Stability	NNP
cord-239632-dyvhzvmm	195	101	analysis	analysis	NN
cord-239632-dyvhzvmm	195	102	of	of	IN
cord-239632-dyvhzvmm	195	103	an	an	DT
cord-239632-dyvhzvmm	195	104	age	age	NN
cord-239632-dyvhzvmm	195	105	structured	structure	VBN
cord-239632-dyvhzvmm	195	106	SEIRS	SEIRS	NNP
cord-239632-dyvhzvmm	195	107	model	model	NN
cord-239632-dyvhzvmm	195	108	with	with	IN
cord-239632-dyvhzvmm	195	109	time	time	NN
cord-239632-dyvhzvmm	195	110	delay	delay	NN
cord-239632-dyvhzvmm	195	111	Waning	wane	VBG
cord-239632-dyvhzvmm	195	112	immunity	immunity	NN
cord-239632-dyvhzvmm	195	113	and	and	CC
cord-239632-dyvhzvmm	195	114	mocrobial	mocrobial	JJ
cord-239632-dyvhzvmm	195	115	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	195	116	-Workshop	-Workshop	VBZ
cord-239632-dyvhzvmm	195	117	of	of	IN
cord-239632-dyvhzvmm	195	118	the	the	DT
cord-239632-dyvhzvmm	195	119	National	National	NNP
cord-239632-dyvhzvmm	195	120	Institute	Institute	NNP
cord-239632-dyvhzvmm	195	121	of	of	IN
cord-239632-dyvhzvmm	195	122	Allergy	Allergy	NNP
cord-239632-dyvhzvmm	195	123	and	and	CC
cord-239632-dyvhzvmm	195	124	Infectious	Infectious	NNP
cord-239632-dyvhzvmm	195	125	Diseases	Diseases	NNPS
cord-239632-dyvhzvmm	195	126	Implications	implication	NNS
cord-239632-dyvhzvmm	195	127	of	of	IN
cord-239632-dyvhzvmm	195	128	vaccination	vaccination	NN
cord-239632-dyvhzvmm	195	129	and	and	CC
cord-239632-dyvhzvmm	195	130	waning	wane	VBG
cord-239632-dyvhzvmm	195	131	immunity	immunity	NN
cord-239632-dyvhzvmm	195	132	Vaccine	vaccine	NN
cord-239632-dyvhzvmm	195	133	waning	waning	NN
cord-239632-dyvhzvmm	195	134	and	and	CC
cord-239632-dyvhzvmm	195	135	mumps	mumps	NN
cord-239632-dyvhzvmm	195	136	re	re	NN
cord-239632-dyvhzvmm	195	137	-	-	NN
cord-239632-dyvhzvmm	195	138	emergence	emergence	NN
cord-239632-dyvhzvmm	195	139	in	in	IN
cord-239632-dyvhzvmm	195	140	the	the	DT
cord-239632-dyvhzvmm	195	141	United	United	NNP
cord-239632-dyvhzvmm	195	142	States	States	NNP
cord-239632-dyvhzvmm	196	1	How	how	WRB
cord-239632-dyvhzvmm	196	2	long	long	RB
cord-239632-dyvhzvmm	196	3	do	do	VBP
cord-239632-dyvhzvmm	196	4	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	196	5	last	last	JJ
cord-239632-dyvhzvmm	196	6	?	?	.
cord-239632-dyvhzvmm	197	1	The	the	DT
cord-239632-dyvhzvmm	197	2	surprising	surprising	JJ
cord-239632-dyvhzvmm	197	3	answer	answer	NN
cord-239632-dyvhzvmm	197	4	may	may	MD
cord-239632-dyvhzvmm	197	5	help	help	VB
cord-239632-dyvhzvmm	197	6	protect	protect	VB
cord-239632-dyvhzvmm	197	7	people	people	NNS
cord-239632-dyvhzvmm	197	8	longer	long	RBR
cord-239632-dyvhzvmm	197	9	Modelling	model	VBG
cord-239632-dyvhzvmm	197	10	the	the	DT
cord-239632-dyvhzvmm	197	11	strategies	strategy	NNS
cord-239632-dyvhzvmm	197	12	for	for	IN
cord-239632-dyvhzvmm	197	13	age	age	NN
cord-239632-dyvhzvmm	197	14	specific	specific	JJ
cord-239632-dyvhzvmm	197	15	vaccination	vaccination	NN
cord-239632-dyvhzvmm	197	16	scheduling	scheduling	NN
cord-239632-dyvhzvmm	197	17	during	during	IN
cord-239632-dyvhzvmm	197	18	influenza	influenza	JJ
cord-239632-dyvhzvmm	197	19	pandemic	pandemic	NN
cord-239632-dyvhzvmm	197	20	outbreaks	outbreak	NNS
cord-239632-dyvhzvmm	197	21	SIR	SIR	NNP
cord-239632-dyvhzvmm	197	22	-	-	HYPH
cord-239632-dyvhzvmm	197	23	based	base	VBN
cord-239632-dyvhzvmm	197	24	mathematical	mathematical	JJ
cord-239632-dyvhzvmm	197	25	modeling	modeling	NN
cord-239632-dyvhzvmm	197	26	of	of	IN
cord-239632-dyvhzvmm	197	27	infectious	infectious	JJ
cord-239632-dyvhzvmm	197	28	diseases	disease	NNS
cord-239632-dyvhzvmm	197	29	with	with	IN
cord-239632-dyvhzvmm	197	30	vaccination	vaccination	NN
cord-239632-dyvhzvmm	197	31	and	and	CC
cord-239632-dyvhzvmm	197	32	waning	wane	VBG
cord-239632-dyvhzvmm	197	33	immunity	immunity	NN
cord-239632-dyvhzvmm	197	34	Modeling	model	VBG
cord-239632-dyvhzvmm	197	35	the	the	DT
cord-239632-dyvhzvmm	197	36	effects	effect	NNS
cord-239632-dyvhzvmm	197	37	of	of	IN
cord-239632-dyvhzvmm	197	38	vaccination	vaccination	NN
cord-239632-dyvhzvmm	197	39	and	and	CC
cord-239632-dyvhzvmm	197	40	treatment	treatment	NN
cord-239632-dyvhzvmm	197	41	on	on	IN
cord-239632-dyvhzvmm	197	42	pandemic	pandemic	NN
cord-239632-dyvhzvmm	197	43	influenza	influenza	NN
cord-239632-dyvhzvmm	197	44	Impact	Impact	NNP
cord-239632-dyvhzvmm	197	45	of	of	IN
cord-239632-dyvhzvmm	197	46	A	a	DT
cord-239632-dyvhzvmm	197	47	Waning	Waning	NNP
cord-239632-dyvhzvmm	197	48	Vaccine	Vaccine	NNP
cord-239632-dyvhzvmm	197	49	and	and	CC
cord-239632-dyvhzvmm	197	50	Altered	alter	VBD
cord-239632-dyvhzvmm	197	51	Behavior	Behavior	NNP
cord-239632-dyvhzvmm	197	52	on	on	IN
cord-239632-dyvhzvmm	197	53	the	the	DT
cord-239632-dyvhzvmm	197	54	Spread	spread	NN
cord-239632-dyvhzvmm	197	55	of	of	IN
cord-239632-dyvhzvmm	197	56	Influenza	Influenza	NNP
cord-239632-dyvhzvmm	198	1	Could	Could	MD
cord-239632-dyvhzvmm	198	2	an	an	DT
cord-239632-dyvhzvmm	198	3	unrelated	unrelated	JJ
cord-239632-dyvhzvmm	198	4	live	live	JJ
cord-239632-dyvhzvmm	198	5	attenuated	attenuated	JJ
cord-239632-dyvhzvmm	198	6	vaccine	vaccine	NN
cord-239632-dyvhzvmm	198	7	serve	serve	VBP
cord-239632-dyvhzvmm	198	8	as	as	IN
cord-239632-dyvhzvmm	198	9	a	a	DT
cord-239632-dyvhzvmm	198	10	preventive	preventive	JJ
cord-239632-dyvhzvmm	198	11	measure	measure	NN
cord-239632-dyvhzvmm	198	12	to	to	TO
cord-239632-dyvhzvmm	198	13	dampen	dampen	VB
cord-239632-dyvhzvmm	198	14	septic	septic	JJ
cord-239632-dyvhzvmm	198	15	inflammation	inflammation	NN
cord-239632-dyvhzvmm	198	16	associated	associate	VBN
cord-239632-dyvhzvmm	198	17	with	with	IN
cord-239632-dyvhzvmm	198	18	COVID-19	covid-19	JJ
cord-239632-dyvhzvmm	198	19	infection	infection	NN
cord-239632-dyvhzvmm	198	20	?	?	.
cord-239632-dyvhzvmm	199	1	Can	Can	MD
cord-239632-dyvhzvmm	199	2	existing	exist	VBG
cord-239632-dyvhzvmm	199	3	live	live	JJ
cord-239632-dyvhzvmm	199	4	vaccines	vaccine	NNS
cord-239632-dyvhzvmm	199	5	prevent	prevent	VBP
cord-239632-dyvhzvmm	199	6	COVID-19	covid-19	CD
cord-239632-dyvhzvmm	199	7	?	?	.
cord-239632-dyvhzvmm	200	1	BCG	BCG	NNP
cord-239632-dyvhzvmm	200	2	vaccine	vaccine	NN
cord-239632-dyvhzvmm	200	3	protection	protection	NN
cord-239632-dyvhzvmm	200	4	from	from	IN
cord-239632-dyvhzvmm	200	5	severe	severe	JJ
cord-239632-dyvhzvmm	200	6	coronavirus	coronavirus	NN
cord-239632-dyvhzvmm	200	7	disease	disease	NN
cord-239632-dyvhzvmm	200	8	COVID-19	COVID-19	NNP
cord-239632-dyvhzvmm	200	9	Safety	Safety	NNP
cord-239632-dyvhzvmm	200	10	and	and	CC
cord-239632-dyvhzvmm	200	11	immunogenicity	immunogenicity	NN
cord-239632-dyvhzvmm	200	12	of	of	IN
cord-239632-dyvhzvmm	200	13	the	the	DT
cord-239632-dyvhzvmm	200	14	ChAdOx1	ChAdOx1	NNP
cord-239632-dyvhzvmm	200	15	nCoV-19	ncov-19	CD
cord-239632-dyvhzvmm	200	16	vaccine	vaccine	NN
cord-239632-dyvhzvmm	200	17	against	against	IN
cord-239632-dyvhzvmm	200	18	SARS	SARS	NNP
cord-239632-dyvhzvmm	200	19	-	-	HYPH
cord-239632-dyvhzvmm	200	20	CoV-2	CoV-2	NNP
cord-239632-dyvhzvmm	200	21	:	:	:
cord-239632-dyvhzvmm	200	22	a	a	DT
cord-239632-dyvhzvmm	200	23	preliminary	preliminary	JJ
cord-239632-dyvhzvmm	200	24	report	report	NN
cord-239632-dyvhzvmm	200	25	of	of	IN
cord-239632-dyvhzvmm	200	26	a	a	DT
cord-239632-dyvhzvmm	200	27	phase	phase	NN
cord-239632-dyvhzvmm	200	28	1/2	1/2	CD
cord-239632-dyvhzvmm	200	29	,	,	,
cord-239632-dyvhzvmm	200	30	single	single	JJ
cord-239632-dyvhzvmm	200	31	-	-	HYPH
cord-239632-dyvhzvmm	200	32	blind	blind	JJ
cord-239632-dyvhzvmm	200	33	,	,	,
cord-239632-dyvhzvmm	200	34	randomised	randomised	JJ
cord-239632-dyvhzvmm	200	35	controlled	control	VBN
cord-239632-dyvhzvmm	200	36	trial	trial	NN
cord-239632-dyvhzvmm	200	37	This	this	DT
cord-239632-dyvhzvmm	200	38	manuscript	manuscript	NN
cord-239632-dyvhzvmm	200	39	has	have	VBZ
cord-239632-dyvhzvmm	200	40	been	be	VBN
cord-239632-dyvhzvmm	200	41	authored	author	VBN
cord-239632-dyvhzvmm	200	42	by	by	IN
cord-239632-dyvhzvmm	200	43	employees	employee	NNS
cord-239632-dyvhzvmm	200	44	of	of	IN
cord-239632-dyvhzvmm	200	45	Brookhaven	Brookhaven	NNP
cord-239632-dyvhzvmm	200	46	Science	Science	NNP
cord-239632-dyvhzvmm	200	47	Associates	Associates	NNPS
cord-239632-dyvhzvmm	200	48	,	,	,
cord-239632-dyvhzvmm	200	49	LLC	LLC	NNP
cord-239632-dyvhzvmm	200	50	under	under	IN
cord-239632-dyvhzvmm	200	51	Contract	Contract	NNP
cord-239632-dyvhzvmm	200	52	No	No	NNP
cord-239632-dyvhzvmm	200	53	.	.	NN
cord-239632-dyvhzvmm	200	54	de	de	NN
cord-239632-dyvhzvmm	200	55	-	-	NN
cord-239632-dyvhzvmm	200	56	sc0012704	sc0012704	NN
cord-239632-dyvhzvmm	200	57	with	with	IN
cord-239632-dyvhzvmm	200	58	the	the	DT
cord-239632-dyvhzvmm	200	59	U.S.	U.S.	NNP
cord-239632-dyvhzvmm	200	60	Department	Department	NNP
cord-239632-dyvhzvmm	200	61	of	of	IN
cord-239632-dyvhzvmm	200	62	Energy	Energy	NNP
cord-239632-dyvhzvmm	200	63	.	.	.