id	sid	tid	token	lemma	pos
cord-290952-tbsccwgx	1	1	key	key	NN
cord-290952-tbsccwgx	1	2	:	:	:
cord-290952-tbsccwgx	1	3	cord-290952-tbsccwgx	cord-290952-tbsccwgx	NNP
cord-290952-tbsccwgx	2	1	authors	author	NNS
cord-290952-tbsccwgx	2	2	:	:	:
cord-290952-tbsccwgx	2	3	Ullah	Ullah	NNP
cord-290952-tbsccwgx	2	4	,	,	,
cord-290952-tbsccwgx	2	5	Saif	Saif	NNP
cord-290952-tbsccwgx	2	6	;	;	:
cord-290952-tbsccwgx	2	7	Khan	Khan	NNP
cord-290952-tbsccwgx	2	8	,	,	,
cord-290952-tbsccwgx	2	9	Muhammad	Muhammad	NNP
cord-290952-tbsccwgx	2	10	Altaf	Altaf	NNP
cord-290952-tbsccwgx	3	1	title	title	NN
cord-290952-tbsccwgx	3	2	:	:	:
cord-290952-tbsccwgx	3	3	Modeling	model	VBG
cord-290952-tbsccwgx	3	4	the	the	DT
cord-290952-tbsccwgx	3	5	impact	impact	NN
cord-290952-tbsccwgx	3	6	of	of	IN
cord-290952-tbsccwgx	3	7	non	non	JJ
cord-290952-tbsccwgx	3	8	-	-	JJ
cord-290952-tbsccwgx	3	9	pharmaceutical	pharmaceutical	JJ
cord-290952-tbsccwgx	3	10	interventions	intervention	NNS
cord-290952-tbsccwgx	3	11	on	on	IN
cord-290952-tbsccwgx	3	12	the	the	DT
cord-290952-tbsccwgx	3	13	dynamics	dynamic	NNS
cord-290952-tbsccwgx	3	14	of	of	IN
cord-290952-tbsccwgx	3	15	novel	novel	JJ
cord-290952-tbsccwgx	3	16	coronavirus	coronavirus	NN
cord-290952-tbsccwgx	3	17	with	with	IN
cord-290952-tbsccwgx	3	18	optimal	optimal	JJ
cord-290952-tbsccwgx	3	19	control	control	NN
cord-290952-tbsccwgx	3	20	analysis	analysis	NN
cord-290952-tbsccwgx	3	21	with	with	IN
cord-290952-tbsccwgx	3	22	a	a	DT
cord-290952-tbsccwgx	3	23	case	case	NN
cord-290952-tbsccwgx	3	24	study	study	NN
cord-290952-tbsccwgx	3	25	date	date	NN
cord-290952-tbsccwgx	3	26	:	:	:
cord-290952-tbsccwgx	3	27	2020	2020	CD
cord-290952-tbsccwgx	3	28	-	-	HYPH
cord-290952-tbsccwgx	3	29	07	07	CD
cord-290952-tbsccwgx	3	30	-	-	HYPH
cord-290952-tbsccwgx	3	31	03	03	CD
cord-290952-tbsccwgx	3	32	journal	journal	NN
cord-290952-tbsccwgx	3	33	:	:	:
cord-290952-tbsccwgx	4	1	Chaos	Chaos	NNP
cord-290952-tbsccwgx	4	2	Solitons	Solitons	NNPS
cord-290952-tbsccwgx	5	1	Fractals	fractal	NNS
cord-290952-tbsccwgx	5	2	DOI	DOI	NNP
cord-290952-tbsccwgx	5	3	:	:	:
cord-290952-tbsccwgx	5	4	10.1016	10.1016	CD
cord-290952-tbsccwgx	5	5	/	/	SYM
cord-290952-tbsccwgx	5	6	j.chaos.2020.110075	j.chaos.2020.110075	NN
cord-290952-tbsccwgx	5	7	sha	sha	NNP
cord-290952-tbsccwgx	5	8	:	:	:
cord-290952-tbsccwgx	5	9	ea3ac6ba998941d89d5ddf9c130a7bd935ac67cd	ea3ac6ba998941d89d5ddf9c130a7bd935ac67cd	NNP
cord-290952-tbsccwgx	5	10	doc_id	doc_id	CD
cord-290952-tbsccwgx	5	11	:	:	:
cord-290952-tbsccwgx	5	12	290952	290952	CD
cord-290952-tbsccwgx	5	13	cord_uid	cord_uid	NNS
cord-290952-tbsccwgx	5	14	:	:	:
cord-290952-tbsccwgx	5	15	tbsccwgx	tbsccwgx	NN
cord-290952-tbsccwgx	5	16	Coronavirus	Coronavirus	NNP
cord-290952-tbsccwgx	5	17	disease	disease	NN
cord-290952-tbsccwgx	5	18	(	(	-LRB-
cord-290952-tbsccwgx	5	19	COVID-19	covid-19	VB
cord-290952-tbsccwgx	5	20	)	)	-RRB-
cord-290952-tbsccwgx	6	1	is	be	VBZ
cord-290952-tbsccwgx	6	2	the	the	DT
cord-290952-tbsccwgx	6	3	biggest	big	JJS
cord-290952-tbsccwgx	6	4	public	public	JJ
cord-290952-tbsccwgx	6	5	health	health	NN
cord-290952-tbsccwgx	6	6	challenge	challenge	NN
cord-290952-tbsccwgx	6	7	the	the	DT
cord-290952-tbsccwgx	6	8	world	world	NN
cord-290952-tbsccwgx	6	9	is	be	VBZ
cord-290952-tbsccwgx	6	10	facing	face	VBG
cord-290952-tbsccwgx	6	11	in	in	IN
cord-290952-tbsccwgx	6	12	recent	recent	JJ
cord-290952-tbsccwgx	6	13	days	day	NNS
cord-290952-tbsccwgx	6	14	.	.	.
cord-290952-tbsccwgx	7	1	Since	since	IN
cord-290952-tbsccwgx	7	2	there	there	EX
cord-290952-tbsccwgx	7	3	is	be	VBZ
cord-290952-tbsccwgx	7	4	no	no	DT
cord-290952-tbsccwgx	7	5	effective	effective	JJ
cord-290952-tbsccwgx	7	6	vaccine	vaccine	NN
cord-290952-tbsccwgx	7	7	and	and	CC
cord-290952-tbsccwgx	7	8	treatment	treatment	NN
cord-290952-tbsccwgx	7	9	for	for	IN
cord-290952-tbsccwgx	7	10	this	this	DT
cord-290952-tbsccwgx	7	11	virus	virus	NN
cord-290952-tbsccwgx	7	12	,	,	,
cord-290952-tbsccwgx	7	13	therefore	therefore	RB
cord-290952-tbsccwgx	7	14	,	,	,
cord-290952-tbsccwgx	7	15	the	the	DT
cord-290952-tbsccwgx	7	16	only	only	JJ
cord-290952-tbsccwgx	7	17	way	way	NN
cord-290952-tbsccwgx	7	18	to	to	TO
cord-290952-tbsccwgx	7	19	mitigate	mitigate	VB
cord-290952-tbsccwgx	7	20	this	this	DT
cord-290952-tbsccwgx	7	21	infection	infection	NN
cord-290952-tbsccwgx	7	22	is	be	VBZ
cord-290952-tbsccwgx	7	23	the	the	DT
cord-290952-tbsccwgx	7	24	implementation	implementation	NN
cord-290952-tbsccwgx	7	25	of	of	IN
cord-290952-tbsccwgx	7	26	non	non	JJ
cord-290952-tbsccwgx	7	27	-	-	JJ
cord-290952-tbsccwgx	7	28	pharmaceutical	pharmaceutical	JJ
cord-290952-tbsccwgx	7	29	interventions	intervention	NNS
cord-290952-tbsccwgx	7	30	such	such	JJ
cord-290952-tbsccwgx	7	31	as	as	IN
cord-290952-tbsccwgx	7	32	social	social	NN
cord-290952-tbsccwgx	7	33	-	-	HYPH
cord-290952-tbsccwgx	7	34	distancing	distancing	NN
cord-290952-tbsccwgx	7	35	,	,	,
cord-290952-tbsccwgx	7	36	community	community	NN
cord-290952-tbsccwgx	7	37	lockdown	lockdown	NN
cord-290952-tbsccwgx	7	38	,	,	,
cord-290952-tbsccwgx	7	39	quarantine	quarantine	NN
cord-290952-tbsccwgx	7	40	,	,	,
cord-290952-tbsccwgx	7	41	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	7	42	or	or	CC
cord-290952-tbsccwgx	7	43	self	self	NN
cord-290952-tbsccwgx	7	44	-	-	HYPH
cord-290952-tbsccwgx	7	45	isolation	isolation	NN
cord-290952-tbsccwgx	7	46	and	and	CC
cord-290952-tbsccwgx	7	47	contact	contact	NN
cord-290952-tbsccwgx	7	48	-	-	HYPH
cord-290952-tbsccwgx	7	49	tracing	tracing	NN
cord-290952-tbsccwgx	7	50	.	.	.
cord-290952-tbsccwgx	8	1	In	in	IN
cord-290952-tbsccwgx	8	2	this	this	DT
cord-290952-tbsccwgx	8	3	paper	paper	NN
cord-290952-tbsccwgx	8	4	,	,	,
cord-290952-tbsccwgx	8	5	we	-PRON-	PRP
cord-290952-tbsccwgx	8	6	develop	develop	VBP
cord-290952-tbsccwgx	8	7	a	a	DT
cord-290952-tbsccwgx	8	8	mathematical	mathematical	JJ
cord-290952-tbsccwgx	8	9	model	model	NN
cord-290952-tbsccwgx	8	10	to	to	TO
cord-290952-tbsccwgx	8	11	explore	explore	VB
cord-290952-tbsccwgx	8	12	the	the	DT
cord-290952-tbsccwgx	8	13	transmission	transmission	NN
cord-290952-tbsccwgx	8	14	dynamics	dynamic	NNS
cord-290952-tbsccwgx	8	15	and	and	CC
cord-290952-tbsccwgx	8	16	possible	possible	JJ
cord-290952-tbsccwgx	8	17	control	control	NN
cord-290952-tbsccwgx	8	18	of	of	IN
cord-290952-tbsccwgx	8	19	the	the	DT
cord-290952-tbsccwgx	8	20	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	8	21	pandemic	pandemic	NN
cord-290952-tbsccwgx	8	22	in	in	IN
cord-290952-tbsccwgx	8	23	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	8	24	,	,	,
cord-290952-tbsccwgx	8	25	one	one	CD
cord-290952-tbsccwgx	8	26	of	of	IN
cord-290952-tbsccwgx	8	27	the	the	DT
cord-290952-tbsccwgx	8	28	Asian	asian	JJ
cord-290952-tbsccwgx	8	29	countries	country	NNS
cord-290952-tbsccwgx	8	30	with	with	IN
cord-290952-tbsccwgx	8	31	a	a	DT
cord-290952-tbsccwgx	8	32	high	high	JJ
cord-290952-tbsccwgx	8	33	burden	burden	NN
cord-290952-tbsccwgx	8	34	of	of	IN
cord-290952-tbsccwgx	8	35	disease	disease	NN
cord-290952-tbsccwgx	8	36	with	with	IN
cord-290952-tbsccwgx	8	37	more	more	JJR
cord-290952-tbsccwgx	8	38	than	than	IN
cord-290952-tbsccwgx	8	39	100,000	100,000	CD
cord-290952-tbsccwgx	8	40	confirmed	confirm	VBD
cord-290952-tbsccwgx	8	41	infected	infected	JJ
cord-290952-tbsccwgx	8	42	cases	case	NNS
cord-290952-tbsccwgx	8	43	so	so	RB
cord-290952-tbsccwgx	8	44	far	far	RB
cord-290952-tbsccwgx	8	45	.	.	.
cord-290952-tbsccwgx	9	1	Initially	initially	RB
cord-290952-tbsccwgx	9	2	,	,	,
cord-290952-tbsccwgx	9	3	a	a	DT
cord-290952-tbsccwgx	9	4	mathematical	mathematical	JJ
cord-290952-tbsccwgx	9	5	model	model	NN
cord-290952-tbsccwgx	9	6	without	without	IN
cord-290952-tbsccwgx	9	7	optimal	optimal	JJ
cord-290952-tbsccwgx	9	8	control	control	NN
cord-290952-tbsccwgx	9	9	is	be	VBZ
cord-290952-tbsccwgx	9	10	formulated	formulate	VBN
cord-290952-tbsccwgx	9	11	and	and	CC
cord-290952-tbsccwgx	9	12	some	some	DT
cord-290952-tbsccwgx	9	13	of	of	IN
cord-290952-tbsccwgx	9	14	the	the	DT
cord-290952-tbsccwgx	9	15	basic	basic	JJ
cord-290952-tbsccwgx	9	16	necessary	necessary	JJ
cord-290952-tbsccwgx	9	17	analysis	analysis	NN
cord-290952-tbsccwgx	9	18	of	of	IN
cord-290952-tbsccwgx	9	19	the	the	DT
cord-290952-tbsccwgx	9	20	model	model	NN
cord-290952-tbsccwgx	9	21	,	,	,
cord-290952-tbsccwgx	9	22	including	include	VBG
cord-290952-tbsccwgx	9	23	stability	stability	NN
cord-290952-tbsccwgx	9	24	results	result	NNS
cord-290952-tbsccwgx	9	25	of	of	IN
cord-290952-tbsccwgx	9	26	the	the	DT
cord-290952-tbsccwgx	9	27	disease	disease	NN
cord-290952-tbsccwgx	9	28	-	-	HYPH
cord-290952-tbsccwgx	9	29	free	free	JJ
cord-290952-tbsccwgx	9	30	equilibrium	equilibrium	NN
cord-290952-tbsccwgx	9	31	is	be	VBZ
cord-290952-tbsccwgx	9	32	presented	present	VBN
cord-290952-tbsccwgx	9	33	.	.	.
cord-290952-tbsccwgx	10	1	It	-PRON-	PRP
cord-290952-tbsccwgx	10	2	is	be	VBZ
cord-290952-tbsccwgx	10	3	found	find	VBN
cord-290952-tbsccwgx	10	4	that	that	IN
cord-290952-tbsccwgx	10	5	the	the	DT
cord-290952-tbsccwgx	10	6	model	model	NN
cord-290952-tbsccwgx	10	7	is	be	VBZ
cord-290952-tbsccwgx	10	8	stable	stable	JJ
cord-290952-tbsccwgx	10	9	around	around	IN
cord-290952-tbsccwgx	10	10	the	the	DT
cord-290952-tbsccwgx	10	11	disease	disease	NN
cord-290952-tbsccwgx	10	12	-	-	HYPH
cord-290952-tbsccwgx	10	13	free	free	JJ
cord-290952-tbsccwgx	10	14	equilibrium	equilibrium	NN
cord-290952-tbsccwgx	10	15	both	both	CC
cord-290952-tbsccwgx	10	16	locally	locally	RB
cord-290952-tbsccwgx	10	17	and	and	CC
cord-290952-tbsccwgx	10	18	globally	globally	RB
cord-290952-tbsccwgx	10	19	when	when	WRB
cord-290952-tbsccwgx	10	20	the	the	DT
cord-290952-tbsccwgx	10	21	basic	basic	JJ
cord-290952-tbsccwgx	10	22	reproduction	reproduction	NN
cord-290952-tbsccwgx	10	23	number	number	NN
cord-290952-tbsccwgx	10	24	is	be	VBZ
cord-290952-tbsccwgx	10	25	less	less	JJR
cord-290952-tbsccwgx	10	26	than	than	IN
cord-290952-tbsccwgx	10	27	unity	unity	NN
cord-290952-tbsccwgx	10	28	.	.	.
cord-290952-tbsccwgx	11	1	Despite	despite	IN
cord-290952-tbsccwgx	11	2	the	the	DT
cord-290952-tbsccwgx	11	3	basic	basic	JJ
cord-290952-tbsccwgx	11	4	analysis	analysis	NN
cord-290952-tbsccwgx	11	5	of	of	IN
cord-290952-tbsccwgx	11	6	the	the	DT
cord-290952-tbsccwgx	11	7	model	model	NN
cord-290952-tbsccwgx	11	8	,	,	,
cord-290952-tbsccwgx	11	9	we	-PRON-	PRP
cord-290952-tbsccwgx	11	10	further	further	RB
cord-290952-tbsccwgx	11	11	consider	consider	VBP
cord-290952-tbsccwgx	11	12	the	the	DT
cord-290952-tbsccwgx	11	13	confirmed	confirm	VBN
cord-290952-tbsccwgx	11	14	infected	infected	JJ
cord-290952-tbsccwgx	11	15	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	11	16	cases	case	NNS
cord-290952-tbsccwgx	11	17	documented	document	VBN
cord-290952-tbsccwgx	11	18	in	in	IN
cord-290952-tbsccwgx	11	19	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	11	20	from	from	IN
cord-290952-tbsccwgx	11	21	March	March	NNP
cord-290952-tbsccwgx	11	22	1	1	CD
cord-290952-tbsccwgx	11	23	till	till	IN
cord-290952-tbsccwgx	11	24	May	May	NNP
cord-290952-tbsccwgx	11	25	28	28	CD
cord-290952-tbsccwgx	11	26	,	,	,
cord-290952-tbsccwgx	11	27	2020	2020	CD
cord-290952-tbsccwgx	11	28	and	and	CC
cord-290952-tbsccwgx	11	29	estimate	estimate	VB
cord-290952-tbsccwgx	11	30	the	the	DT
cord-290952-tbsccwgx	11	31	model	model	NN
cord-290952-tbsccwgx	11	32	parameters	parameter	NNS
cord-290952-tbsccwgx	11	33	using	use	VBG
cord-290952-tbsccwgx	11	34	the	the	DT
cord-290952-tbsccwgx	11	35	least	least	JJS
cord-290952-tbsccwgx	11	36	square	square	JJ
cord-290952-tbsccwgx	11	37	fitting	fitting	JJ
cord-290952-tbsccwgx	11	38	tools	tool	NNS
cord-290952-tbsccwgx	11	39	from	from	IN
cord-290952-tbsccwgx	11	40	statistics	statistic	NNS
cord-290952-tbsccwgx	11	41	and	and	CC
cord-290952-tbsccwgx	11	42	probability	probability	NN
cord-290952-tbsccwgx	11	43	theory	theory	NN
cord-290952-tbsccwgx	11	44	.	.	.
cord-290952-tbsccwgx	12	1	The	the	DT
cord-290952-tbsccwgx	12	2	results	result	NNS
cord-290952-tbsccwgx	12	3	show	show	VBP
cord-290952-tbsccwgx	12	4	that	that	IN
cord-290952-tbsccwgx	12	5	the	the	DT
cord-290952-tbsccwgx	12	6	model	model	NN
cord-290952-tbsccwgx	12	7	output	output	NN
cord-290952-tbsccwgx	12	8	is	be	VBZ
cord-290952-tbsccwgx	12	9	in	in	IN
cord-290952-tbsccwgx	12	10	good	good	JJ
cord-290952-tbsccwgx	12	11	agreement	agreement	NN
cord-290952-tbsccwgx	12	12	with	with	IN
cord-290952-tbsccwgx	12	13	the	the	DT
cord-290952-tbsccwgx	12	14	reported	report	VBN
cord-290952-tbsccwgx	12	15	COVID-19	covid-19	CD
cord-290952-tbsccwgx	12	16	infected	infected	JJ
cord-290952-tbsccwgx	12	17	cases	case	NNS
cord-290952-tbsccwgx	12	18	.	.	.
cord-290952-tbsccwgx	13	1	The	the	DT
cord-290952-tbsccwgx	13	2	approximate	approximate	JJ
cord-290952-tbsccwgx	13	3	value	value	NN
cord-290952-tbsccwgx	13	4	of	of	IN
cord-290952-tbsccwgx	13	5	the	the	DT
cord-290952-tbsccwgx	13	6	basic	basic	JJ
cord-290952-tbsccwgx	13	7	reproductive	reproductive	JJ
cord-290952-tbsccwgx	13	8	number	number	NN
cord-290952-tbsccwgx	13	9	based	base	VBN
cord-290952-tbsccwgx	13	10	on	on	IN
cord-290952-tbsccwgx	13	11	the	the	DT
cord-290952-tbsccwgx	13	12	estimated	estimate	VBN
cord-290952-tbsccwgx	13	13	parameters	parameter	NNS
cord-290952-tbsccwgx	13	14	is	be	VBZ
cord-290952-tbsccwgx	13	15	[	[	-LRB-
cord-290952-tbsccwgx	13	16	Formula	formula	NN
cord-290952-tbsccwgx	13	17	:	:	:
cord-290952-tbsccwgx	13	18	see	see	VB
cord-290952-tbsccwgx	13	19	text	text	NN
cord-290952-tbsccwgx	13	20	]	]	-RRB-
cord-290952-tbsccwgx	13	21	.	.	.
cord-290952-tbsccwgx	14	1	The	the	DT
cord-290952-tbsccwgx	14	2	effect	effect	NN
cord-290952-tbsccwgx	14	3	of	of	IN
cord-290952-tbsccwgx	14	4	low	low	JJ
cord-290952-tbsccwgx	14	5	(	(	-LRB-
cord-290952-tbsccwgx	14	6	or	or	CC
cord-290952-tbsccwgx	14	7	mild	mild	JJ
cord-290952-tbsccwgx	14	8	)	)	-RRB-
cord-290952-tbsccwgx	14	9	,	,	,
cord-290952-tbsccwgx	14	10	moderate	moderate	JJ
cord-290952-tbsccwgx	14	11	,	,	,
cord-290952-tbsccwgx	14	12	and	and	CC
cord-290952-tbsccwgx	14	13	comparatively	comparatively	RB
cord-290952-tbsccwgx	14	14	strict	strict	JJ
cord-290952-tbsccwgx	14	15	control	control	NN
cord-290952-tbsccwgx	14	16	interventions	intervention	NNS
cord-290952-tbsccwgx	14	17	like	like	IN
cord-290952-tbsccwgx	14	18	social	social	NN
cord-290952-tbsccwgx	14	19	-	-	HYPH
cord-290952-tbsccwgx	14	20	distancing	distancing	NN
cord-290952-tbsccwgx	14	21	,	,	,
cord-290952-tbsccwgx	14	22	quarantine	quarantine	NN
cord-290952-tbsccwgx	14	23	rate	rate	NN
cord-290952-tbsccwgx	14	24	,	,	,
cord-290952-tbsccwgx	14	25	(	(	-LRB-
cord-290952-tbsccwgx	14	26	or	or	CC
cord-290952-tbsccwgx	14	27	contact	contact	NN
cord-290952-tbsccwgx	14	28	-	-	HYPH
cord-290952-tbsccwgx	14	29	tracing	tracing	NN
cord-290952-tbsccwgx	14	30	of	of	IN
cord-290952-tbsccwgx	14	31	suspected	suspect	VBN
cord-290952-tbsccwgx	14	32	people	people	NNS
cord-290952-tbsccwgx	14	33	)	)	-RRB-
cord-290952-tbsccwgx	14	34	and	and	CC
cord-290952-tbsccwgx	14	35	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	14	36	(	(	-LRB-
cord-290952-tbsccwgx	14	37	or	or	CC
cord-290952-tbsccwgx	14	38	self	self	NN
cord-290952-tbsccwgx	14	39	-	-	HYPH
cord-290952-tbsccwgx	14	40	isolation	isolation	NN
cord-290952-tbsccwgx	14	41	)	)	-RRB-
cord-290952-tbsccwgx	14	42	of	of	IN
cord-290952-tbsccwgx	14	43	testing	test	VBG
cord-290952-tbsccwgx	14	44	positive	positive	JJ
cord-290952-tbsccwgx	14	45	COVID-19	covid-19	CD
cord-290952-tbsccwgx	14	46	cases	case	NNS
cord-290952-tbsccwgx	14	47	are	be	VBP
cord-290952-tbsccwgx	14	48	shown	show	VBN
cord-290952-tbsccwgx	14	49	graphically	graphically	RB
cord-290952-tbsccwgx	14	50	.	.	.
cord-290952-tbsccwgx	15	1	It	-PRON-	PRP
cord-290952-tbsccwgx	15	2	is	be	VBZ
cord-290952-tbsccwgx	15	3	observed	observe	VBN
cord-290952-tbsccwgx	15	4	that	that	IN
cord-290952-tbsccwgx	15	5	the	the	DT
cord-290952-tbsccwgx	15	6	most	most	RBS
cord-290952-tbsccwgx	15	7	effective	effective	JJ
cord-290952-tbsccwgx	15	8	strategy	strategy	NN
cord-290952-tbsccwgx	15	9	to	to	TO
cord-290952-tbsccwgx	15	10	minimize	minimize	VB
cord-290952-tbsccwgx	15	11	the	the	DT
cord-290952-tbsccwgx	15	12	disease	disease	NN
cord-290952-tbsccwgx	15	13	burden	burden	NN
cord-290952-tbsccwgx	15	14	is	be	VBZ
cord-290952-tbsccwgx	15	15	the	the	DT
cord-290952-tbsccwgx	15	16	implementation	implementation	NN
cord-290952-tbsccwgx	15	17	of	of	IN
cord-290952-tbsccwgx	15	18	maintaining	maintain	VBG
cord-290952-tbsccwgx	15	19	a	a	DT
cord-290952-tbsccwgx	15	20	strict	strict	JJ
cord-290952-tbsccwgx	15	21	social	social	NN
cord-290952-tbsccwgx	15	22	-	-	HYPH
cord-290952-tbsccwgx	15	23	distancing	distancing	NN
cord-290952-tbsccwgx	15	24	and	and	CC
cord-290952-tbsccwgx	15	25	contact	contact	NN
cord-290952-tbsccwgx	15	26	-	-	HYPH
cord-290952-tbsccwgx	15	27	tracing	tracing	NN
cord-290952-tbsccwgx	15	28	to	to	TO
cord-290952-tbsccwgx	15	29	quarantine	quarantine	VB
cord-290952-tbsccwgx	15	30	the	the	DT
cord-290952-tbsccwgx	15	31	exposed	expose	VBN
cord-290952-tbsccwgx	15	32	people	people	NNS
cord-290952-tbsccwgx	15	33	.	.	.
cord-290952-tbsccwgx	16	1	Furthermore	furthermore	RB
cord-290952-tbsccwgx	16	2	,	,	,
cord-290952-tbsccwgx	16	3	we	-PRON-	PRP
cord-290952-tbsccwgx	16	4	carried	carry	VBD
cord-290952-tbsccwgx	16	5	out	out	RP
cord-290952-tbsccwgx	16	6	the	the	DT
cord-290952-tbsccwgx	16	7	global	global	JJ
cord-290952-tbsccwgx	16	8	sensitivity	sensitivity	NN
cord-290952-tbsccwgx	16	9	analysis	analysis	NN
cord-290952-tbsccwgx	16	10	of	of	IN
cord-290952-tbsccwgx	16	11	the	the	DT
cord-290952-tbsccwgx	16	12	most	most	RBS
cord-290952-tbsccwgx	16	13	crucial	crucial	JJ
cord-290952-tbsccwgx	16	14	parameter	parameter	NN
cord-290952-tbsccwgx	16	15	known	know	VBN
cord-290952-tbsccwgx	16	16	as	as	IN
cord-290952-tbsccwgx	16	17	the	the	DT
cord-290952-tbsccwgx	16	18	basic	basic	JJ
cord-290952-tbsccwgx	16	19	reproduction	reproduction	NN
cord-290952-tbsccwgx	16	20	number	number	NN
cord-290952-tbsccwgx	16	21	using	use	VBG
cord-290952-tbsccwgx	16	22	the	the	DT
cord-290952-tbsccwgx	16	23	Latin	Latin	NNP
cord-290952-tbsccwgx	16	24	Hypercube	Hypercube	NNP
cord-290952-tbsccwgx	16	25	Sampling	Sampling	NNP
cord-290952-tbsccwgx	16	26	(	(	-LRB-
cord-290952-tbsccwgx	16	27	LHS	LHS	NNP
cord-290952-tbsccwgx	16	28	)	)	-RRB-
cord-290952-tbsccwgx	16	29	and	and	CC
cord-290952-tbsccwgx	16	30	the	the	DT
cord-290952-tbsccwgx	16	31	partial	partial	JJ
cord-290952-tbsccwgx	16	32	rank	rank	NN
cord-290952-tbsccwgx	16	33	correlation	correlation	NN
cord-290952-tbsccwgx	16	34	coefficient	coefficient	NN
cord-290952-tbsccwgx	16	35	(	(	-LRB-
cord-290952-tbsccwgx	16	36	PRCC	PRCC	NNP
cord-290952-tbsccwgx	16	37	)	)	-RRB-
cord-290952-tbsccwgx	16	38	techniques	technique	NNS
cord-290952-tbsccwgx	16	39	.	.	.
cord-290952-tbsccwgx	17	1	The	the	DT
cord-290952-tbsccwgx	17	2	proposed	propose	VBN
cord-290952-tbsccwgx	17	3	model	model	NN
cord-290952-tbsccwgx	17	4	is	be	VBZ
cord-290952-tbsccwgx	17	5	then	then	RB
cord-290952-tbsccwgx	17	6	reformulated	reformulate	VBN
cord-290952-tbsccwgx	17	7	by	by	IN
cord-290952-tbsccwgx	17	8	adding	add	VBG
cord-290952-tbsccwgx	17	9	the	the	DT
cord-290952-tbsccwgx	17	10	time	time	NN
cord-290952-tbsccwgx	17	11	-	-	HYPH
cord-290952-tbsccwgx	17	12	dependent	dependent	JJ
cord-290952-tbsccwgx	17	13	control	control	NN
cord-290952-tbsccwgx	17	14	variables	variable	NNS
cord-290952-tbsccwgx	17	15	u(1)(t	u(1)(t	CD
cord-290952-tbsccwgx	17	16	)	)	-RRB-
cord-290952-tbsccwgx	17	17	for	for	IN
cord-290952-tbsccwgx	17	18	quarantine	quarantine	NN
cord-290952-tbsccwgx	17	19	and	and	CC
cord-290952-tbsccwgx	17	20	u(2)(t	u(2)(t	LS
cord-290952-tbsccwgx	17	21	)	)	-RRB-
cord-290952-tbsccwgx	17	22	for	for	IN
cord-290952-tbsccwgx	17	23	the	the	DT
cord-290952-tbsccwgx	17	24	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	17	25	interventions	intervention	NNS
cord-290952-tbsccwgx	17	26	and	and	CC
cord-290952-tbsccwgx	17	27	present	present	VBP
cord-290952-tbsccwgx	17	28	the	the	DT
cord-290952-tbsccwgx	17	29	necessary	necessary	JJ
cord-290952-tbsccwgx	17	30	optimality	optimality	NN
cord-290952-tbsccwgx	17	31	conditions	condition	NNS
cord-290952-tbsccwgx	17	32	using	use	VBG
cord-290952-tbsccwgx	17	33	the	the	DT
cord-290952-tbsccwgx	17	34	optimal	optimal	JJ
cord-290952-tbsccwgx	17	35	control	control	NN
cord-290952-tbsccwgx	17	36	theory	theory	NN
cord-290952-tbsccwgx	17	37	and	and	CC
cord-290952-tbsccwgx	17	38	Pontryagin	Pontryagin	NNP
cord-290952-tbsccwgx	17	39	’s	’s	POS
cord-290952-tbsccwgx	17	40	maximum	maximum	JJ
cord-290952-tbsccwgx	17	41	principle	principle	NN
cord-290952-tbsccwgx	17	42	.	.	.
cord-290952-tbsccwgx	18	1	Finally	finally	RB
cord-290952-tbsccwgx	18	2	,	,	,
cord-290952-tbsccwgx	18	3	the	the	DT
cord-290952-tbsccwgx	18	4	impact	impact	NN
cord-290952-tbsccwgx	18	5	of	of	IN
cord-290952-tbsccwgx	18	6	constant	constant	JJ
cord-290952-tbsccwgx	18	7	and	and	CC
cord-290952-tbsccwgx	18	8	optimal	optimal	JJ
cord-290952-tbsccwgx	18	9	control	control	NN
cord-290952-tbsccwgx	18	10	interventions	intervention	NNS
cord-290952-tbsccwgx	18	11	on	on	IN
cord-290952-tbsccwgx	18	12	infected	infected	JJ
cord-290952-tbsccwgx	18	13	individuals	individual	NNS
cord-290952-tbsccwgx	18	14	is	be	VBZ
cord-290952-tbsccwgx	18	15	compared	compare	VBN
cord-290952-tbsccwgx	18	16	graphically	graphically	RB
cord-290952-tbsccwgx	18	17	.	.	.
cord-290952-tbsccwgx	19	1	Modeling	model	VBG
cord-290952-tbsccwgx	19	2	the	the	DT
cord-290952-tbsccwgx	19	3	impact	impact	NN
cord-290952-tbsccwgx	19	4	of	of	IN
cord-290952-tbsccwgx	19	5	non	non	JJ
cord-290952-tbsccwgx	19	6	-	-	JJ
cord-290952-tbsccwgx	19	7	pharmaceutical	pharmaceutical	JJ
cord-290952-tbsccwgx	19	8	interventions	intervention	NNS
cord-290952-tbsccwgx	19	9	on	on	IN
cord-290952-tbsccwgx	19	10	the	the	DT
cord-290952-tbsccwgx	19	11	dynamics	dynamic	NNS
cord-290952-tbsccwgx	19	12	of	of	IN
cord-290952-tbsccwgx	19	13	novel	novel	JJ
cord-290952-tbsccwgx	19	14	coronavirus	coronavirus	NN
cord-290952-tbsccwgx	19	15	with	with	IN
cord-290952-tbsccwgx	19	16	optimal	optimal	JJ
cord-290952-tbsccwgx	19	17	control	control	NN
cord-290952-tbsccwgx	19	18	analysis	analysis	NN
cord-290952-tbsccwgx	19	19	with	with	IN
cord-290952-tbsccwgx	19	20	a	a	DT
cord-290952-tbsccwgx	19	21	case	case	NN
cord-290952-tbsccwgx	19	22	study	study	NN
cord-290952-tbsccwgx	19	23	 	 	_SP
cord-290952-tbsccwgx	19	24	Coronavirus	Coronavirus	NNP
cord-290952-tbsccwgx	19	25	disease	disease	NN
cord-290952-tbsccwgx	19	26	is	be	VBZ
cord-290952-tbsccwgx	19	27	the	the	DT
cord-290952-tbsccwgx	19	28	biggest	big	JJS
cord-290952-tbsccwgx	19	29	public	public	JJ
cord-290952-tbsccwgx	19	30	health	health	NN
cord-290952-tbsccwgx	19	31	challenge	challenge	NN
cord-290952-tbsccwgx	19	32	the	the	DT
cord-290952-tbsccwgx	19	33	world	world	NN
cord-290952-tbsccwgx	19	34	is	be	VBZ
cord-290952-tbsccwgx	19	35	facing	face	VBG
cord-290952-tbsccwgx	19	36	in	in	IN
cord-290952-tbsccwgx	19	37	recent	recent	JJ
cord-290952-tbsccwgx	19	38	days	day	NNS
cord-290952-tbsccwgx	19	39	.	.	.
cord-290952-tbsccwgx	20	1	Since	since	IN
cord-290952-tbsccwgx	20	2	there	there	EX
cord-290952-tbsccwgx	20	3	is	be	VBZ
cord-290952-tbsccwgx	20	4	no	no	DT
cord-290952-tbsccwgx	20	5	effective	effective	JJ
cord-290952-tbsccwgx	20	6	vaccine	vaccine	NN
cord-290952-tbsccwgx	20	7	and	and	CC
cord-290952-tbsccwgx	20	8	treatment	treatment	NN
cord-290952-tbsccwgx	20	9	for	for	IN
cord-290952-tbsccwgx	20	10	this	this	DT
cord-290952-tbsccwgx	20	11	virus	virus	NN
cord-290952-tbsccwgx	20	12	,	,	,
cord-290952-tbsccwgx	20	13	therefore	therefore	RB
cord-290952-tbsccwgx	20	14	,	,	,
cord-290952-tbsccwgx	20	15	the	the	DT
cord-290952-tbsccwgx	20	16	only	only	JJ
cord-290952-tbsccwgx	20	17	way	way	NN
cord-290952-tbsccwgx	20	18	to	to	TO
cord-290952-tbsccwgx	20	19	mitigate	mitigate	VB
cord-290952-tbsccwgx	20	20	this	this	DT
cord-290952-tbsccwgx	20	21	infection	infection	NN
cord-290952-tbsccwgx	20	22	is	be	VBZ
cord-290952-tbsccwgx	20	23	the	the	DT
cord-290952-tbsccwgx	20	24	implementation	implementation	NN
cord-290952-tbsccwgx	20	25	of	of	IN
cord-290952-tbsccwgx	20	26	non	non	JJ
cord-290952-tbsccwgx	20	27	-	-	JJ
cord-290952-tbsccwgx	20	28	pharmaceutical	pharmaceutical	JJ
cord-290952-tbsccwgx	20	29	interventions	intervention	NNS
cord-290952-tbsccwgx	20	30	such	such	JJ
cord-290952-tbsccwgx	20	31	as	as	IN
cord-290952-tbsccwgx	20	32	social	social	NN
cord-290952-tbsccwgx	20	33	-	-	HYPH
cord-290952-tbsccwgx	20	34	distancing	distancing	NN
cord-290952-tbsccwgx	20	35	,	,	,
cord-290952-tbsccwgx	20	36	community	community	NN
cord-290952-tbsccwgx	20	37	lockdown	lockdown	NN
cord-290952-tbsccwgx	20	38	,	,	,
cord-290952-tbsccwgx	20	39	quarantine	quarantine	NN
cord-290952-tbsccwgx	20	40	,	,	,
cord-290952-tbsccwgx	20	41	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	20	42	or	or	CC
cord-290952-tbsccwgx	20	43	self	self	NN
cord-290952-tbsccwgx	20	44	-	-	HYPH
cord-290952-tbsccwgx	20	45	isolation	isolation	NN
cord-290952-tbsccwgx	20	46	and	and	CC
cord-290952-tbsccwgx	20	47	contact	contact	NN
cord-290952-tbsccwgx	20	48	-	-	HYPH
cord-290952-tbsccwgx	20	49	tracing	tracing	NN
cord-290952-tbsccwgx	20	50	.	.	.
cord-290952-tbsccwgx	21	1	In	in	IN
cord-290952-tbsccwgx	21	2	this	this	DT
cord-290952-tbsccwgx	21	3	paper	paper	NN
cord-290952-tbsccwgx	21	4	,	,	,
cord-290952-tbsccwgx	21	5	we	-PRON-	PRP
cord-290952-tbsccwgx	21	6	develop	develop	VBP
cord-290952-tbsccwgx	21	7	a	a	DT
cord-290952-tbsccwgx	21	8	mathematical	mathematical	JJ
cord-290952-tbsccwgx	21	9	model	model	NN
cord-290952-tbsccwgx	21	10	to	to	TO
cord-290952-tbsccwgx	21	11	explore	explore	VB
cord-290952-tbsccwgx	21	12	the	the	DT
cord-290952-tbsccwgx	21	13	transmission	transmission	NN
cord-290952-tbsccwgx	21	14	dynamics	dynamic	NNS
cord-290952-tbsccwgx	21	15	and	and	CC
cord-290952-tbsccwgx	21	16	possible	possible	JJ
cord-290952-tbsccwgx	21	17	control	control	NN
cord-290952-tbsccwgx	21	18	of	of	IN
cord-290952-tbsccwgx	21	19	the	the	DT
cord-290952-tbsccwgx	21	20	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	21	21	pandemic	pandemic	NN
cord-290952-tbsccwgx	21	22	in	in	IN
cord-290952-tbsccwgx	21	23	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	21	24	,	,	,
cord-290952-tbsccwgx	21	25	one	one	CD
cord-290952-tbsccwgx	21	26	of	of	IN
cord-290952-tbsccwgx	21	27	the	the	DT
cord-290952-tbsccwgx	21	28	Asian	asian	JJ
cord-290952-tbsccwgx	21	29	countries	country	NNS
cord-290952-tbsccwgx	21	30	with	with	IN
cord-290952-tbsccwgx	21	31	a	a	DT
cord-290952-tbsccwgx	21	32	high	high	JJ
cord-290952-tbsccwgx	21	33	burden	burden	NN
cord-290952-tbsccwgx	21	34	of	of	IN
cord-290952-tbsccwgx	21	35	disease	disease	NN
cord-290952-tbsccwgx	21	36	with	with	IN
cord-290952-tbsccwgx	21	37	more	more	JJR
cord-290952-tbsccwgx	21	38	than	than	IN
cord-290952-tbsccwgx	21	39	100,000	100,000	CD
cord-290952-tbsccwgx	21	40	confirmed	confirm	VBD
cord-290952-tbsccwgx	21	41	infected	infected	JJ
cord-290952-tbsccwgx	21	42	cases	case	NNS
cord-290952-tbsccwgx	21	43	so	so	RB
cord-290952-tbsccwgx	21	44	far	far	RB
cord-290952-tbsccwgx	21	45	.	.	.
cord-290952-tbsccwgx	22	1	Initially	initially	RB
cord-290952-tbsccwgx	22	2	,	,	,
cord-290952-tbsccwgx	22	3	a	a	DT
cord-290952-tbsccwgx	22	4	mathematical	mathematical	JJ
cord-290952-tbsccwgx	22	5	model	model	NN
cord-290952-tbsccwgx	22	6	without	without	IN
cord-290952-tbsccwgx	22	7	optimal	optimal	JJ
cord-290952-tbsccwgx	22	8	control	control	NN
cord-290952-tbsccwgx	22	9	is	be	VBZ
cord-290952-tbsccwgx	22	10	formulated	formulate	VBN
cord-290952-tbsccwgx	22	11	and	and	CC
cord-290952-tbsccwgx	22	12	some	some	DT
cord-290952-tbsccwgx	22	13	of	of	IN
cord-290952-tbsccwgx	22	14	the	the	DT
cord-290952-tbsccwgx	22	15	basic	basic	JJ
cord-290952-tbsccwgx	22	16	necessary	necessary	JJ
cord-290952-tbsccwgx	22	17	analysis	analysis	NN
cord-290952-tbsccwgx	22	18	of	of	IN
cord-290952-tbsccwgx	22	19	the	the	DT
cord-290952-tbsccwgx	22	20	model	model	NN
cord-290952-tbsccwgx	22	21	,	,	,
cord-290952-tbsccwgx	22	22	including	include	VBG
cord-290952-tbsccwgx	22	23	stability	stability	NN
cord-290952-tbsccwgx	22	24	results	result	NNS
cord-290952-tbsccwgx	22	25	of	of	IN
cord-290952-tbsccwgx	22	26	the	the	DT
cord-290952-tbsccwgx	22	27	disease	disease	NN
cord-290952-tbsccwgx	22	28	-	-	HYPH
cord-290952-tbsccwgx	22	29	free	free	JJ
cord-290952-tbsccwgx	22	30	equilibrium	equilibrium	NN
cord-290952-tbsccwgx	22	31	is	be	VBZ
cord-290952-tbsccwgx	22	32	presented	present	VBN
cord-290952-tbsccwgx	22	33	.	.	.
cord-290952-tbsccwgx	23	1	It	-PRON-	PRP
cord-290952-tbsccwgx	23	2	is	be	VBZ
cord-290952-tbsccwgx	23	3	found	find	VBN
cord-290952-tbsccwgx	23	4	that	that	IN
cord-290952-tbsccwgx	23	5	the	the	DT
cord-290952-tbsccwgx	23	6	model	model	NN
cord-290952-tbsccwgx	23	7	is	be	VBZ
cord-290952-tbsccwgx	23	8	stable	stable	JJ
cord-290952-tbsccwgx	23	9	around	around	IN
cord-290952-tbsccwgx	23	10	the	the	DT
cord-290952-tbsccwgx	23	11	disease	disease	NN
cord-290952-tbsccwgx	23	12	-	-	HYPH
cord-290952-tbsccwgx	23	13	free	free	JJ
cord-290952-tbsccwgx	23	14	equilibrium	equilibrium	NN
cord-290952-tbsccwgx	23	15	both	both	CC
cord-290952-tbsccwgx	23	16	locally	locally	RB
cord-290952-tbsccwgx	23	17	and	and	CC
cord-290952-tbsccwgx	23	18	globally	globally	RB
cord-290952-tbsccwgx	23	19	when	when	WRB
cord-290952-tbsccwgx	23	20	the	the	DT
cord-290952-tbsccwgx	23	21	basic	basic	JJ
cord-290952-tbsccwgx	23	22	reproduction	reproduction	NN
cord-290952-tbsccwgx	23	23	number	number	NN
cord-290952-tbsccwgx	23	24	is	be	VBZ
cord-290952-tbsccwgx	23	25	less	less	JJR
cord-290952-tbsccwgx	23	26	than	than	IN
cord-290952-tbsccwgx	23	27	unity	unity	NN
cord-290952-tbsccwgx	23	28	.	.	.
cord-290952-tbsccwgx	24	1	Despite	despite	IN
cord-290952-tbsccwgx	24	2	the	the	DT
cord-290952-tbsccwgx	24	3	basic	basic	JJ
cord-290952-tbsccwgx	24	4	analysis	analysis	NN
cord-290952-tbsccwgx	24	5	of	of	IN
cord-290952-tbsccwgx	24	6	the	the	DT
cord-290952-tbsccwgx	24	7	model	model	NN
cord-290952-tbsccwgx	24	8	,	,	,
cord-290952-tbsccwgx	24	9	we	-PRON-	PRP
cord-290952-tbsccwgx	24	10	further	further	RB
cord-290952-tbsccwgx	24	11	consider	consider	VBP
cord-290952-tbsccwgx	24	12	the	the	DT
cord-290952-tbsccwgx	24	13	confirmed	confirm	VBN
cord-290952-tbsccwgx	24	14	infected	infected	JJ
cord-290952-tbsccwgx	24	15	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	24	16	cases	case	NNS
cord-290952-tbsccwgx	24	17	documented	document	VBN
cord-290952-tbsccwgx	24	18	in	in	IN
cord-290952-tbsccwgx	24	19	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	24	20	from	from	IN
cord-290952-tbsccwgx	24	21	March	March	NNP
cord-290952-tbsccwgx	24	22	1	1	CD
cord-290952-tbsccwgx	24	23	till	till	IN
cord-290952-tbsccwgx	24	24	May	May	NNP
cord-290952-tbsccwgx	24	25	28	28	CD
cord-290952-tbsccwgx	24	26	,	,	,
cord-290952-tbsccwgx	24	27	2020	2020	CD
cord-290952-tbsccwgx	24	28	and	and	CC
cord-290952-tbsccwgx	24	29	estimate	estimate	VB
cord-290952-tbsccwgx	24	30	the	the	DT
cord-290952-tbsccwgx	24	31	model	model	NN
cord-290952-tbsccwgx	24	32	parameters	parameter	NNS
cord-290952-tbsccwgx	24	33	using	use	VBG
cord-290952-tbsccwgx	24	34	the	the	DT
cord-290952-tbsccwgx	24	35	least	least	JJS
cord-290952-tbsccwgx	24	36	square	square	JJ
cord-290952-tbsccwgx	24	37	fitting	fitting	JJ
cord-290952-tbsccwgx	24	38	tools	tool	NNS
cord-290952-tbsccwgx	24	39	from	from	IN
cord-290952-tbsccwgx	24	40	statistics	statistic	NNS
cord-290952-tbsccwgx	24	41	and	and	CC
cord-290952-tbsccwgx	24	42	probability	probability	NN
cord-290952-tbsccwgx	24	43	theory	theory	NN
cord-290952-tbsccwgx	24	44	.	.	.
cord-290952-tbsccwgx	25	1	The	the	DT
cord-290952-tbsccwgx	25	2	results	result	NNS
cord-290952-tbsccwgx	25	3	show	show	VBP
cord-290952-tbsccwgx	25	4	that	that	IN
cord-290952-tbsccwgx	25	5	the	the	DT
cord-290952-tbsccwgx	25	6	model	model	NN
cord-290952-tbsccwgx	25	7	output	output	NN
cord-290952-tbsccwgx	25	8	is	be	VBZ
cord-290952-tbsccwgx	25	9	in	in	IN
cord-290952-tbsccwgx	25	10	good	good	JJ
cord-290952-tbsccwgx	25	11	agreement	agreement	NN
cord-290952-tbsccwgx	25	12	with	with	IN
cord-290952-tbsccwgx	25	13	the	the	DT
cord-290952-tbsccwgx	25	14	reported	report	VBN
cord-290952-tbsccwgx	25	15	COVID-19	covid-19	CD
cord-290952-tbsccwgx	25	16	infected	infected	JJ
cord-290952-tbsccwgx	25	17	cases	case	NNS
cord-290952-tbsccwgx	25	18	.	.	.
cord-290952-tbsccwgx	26	1	The	the	DT
cord-290952-tbsccwgx	26	2	approximate	approximate	JJ
cord-290952-tbsccwgx	26	3	value	value	NN
cord-290952-tbsccwgx	26	4	of	of	IN
cord-290952-tbsccwgx	26	5	the	the	DT
cord-290952-tbsccwgx	26	6	basic	basic	JJ
cord-290952-tbsccwgx	26	7	reproductive	reproductive	JJ
cord-290952-tbsccwgx	26	8	number	number	NN
cord-290952-tbsccwgx	26	9	based	base	VBN
cord-290952-tbsccwgx	26	10	on	on	IN
cord-290952-tbsccwgx	26	11	the	the	DT
cord-290952-tbsccwgx	26	12	estimated	estimate	VBN
cord-290952-tbsccwgx	26	13	parameters	parameter	NNS
cord-290952-tbsccwgx	26	14	is	be	VBZ
cord-290952-tbsccwgx	26	15	R	r	NN
cord-290952-tbsccwgx	26	16	0	0	CD
cord-290952-tbsccwgx	26	17	≈	≈	NNP
cord-290952-tbsccwgx	26	18	1.87	1.87	CD
cord-290952-tbsccwgx	26	19	.	.	.
cord-290952-tbsccwgx	27	1	The	the	DT
cord-290952-tbsccwgx	27	2	effect	effect	NN
cord-290952-tbsccwgx	27	3	of	of	IN
cord-290952-tbsccwgx	27	4	low	low	JJ
cord-290952-tbsccwgx	27	5	(	(	-LRB-
cord-290952-tbsccwgx	27	6	or	or	CC
cord-290952-tbsccwgx	27	7	mild	mild	JJ
cord-290952-tbsccwgx	27	8	)	)	-RRB-
cord-290952-tbsccwgx	27	9	,	,	,
cord-290952-tbsccwgx	27	10	moderate	moderate	JJ
cord-290952-tbsccwgx	27	11	,	,	,
cord-290952-tbsccwgx	27	12	and	and	CC
cord-290952-tbsccwgx	27	13	comparatively	comparatively	RB
cord-290952-tbsccwgx	27	14	strict	strict	JJ
cord-290952-tbsccwgx	27	15	control	control	NN
cord-290952-tbsccwgx	27	16	interventions	intervention	NNS
cord-290952-tbsccwgx	27	17	like	like	IN
cord-290952-tbsccwgx	27	18	social	social	NN
cord-290952-tbsccwgx	27	19	-	-	HYPH
cord-290952-tbsccwgx	27	20	distancing	distancing	NN
cord-290952-tbsccwgx	27	21	,	,	,
cord-290952-tbsccwgx	27	22	quarantine	quarantine	NN
cord-290952-tbsccwgx	27	23	rate	rate	NN
cord-290952-tbsccwgx	27	24	,	,	,
cord-290952-tbsccwgx	27	25	(	(	-LRB-
cord-290952-tbsccwgx	27	26	or	or	CC
cord-290952-tbsccwgx	27	27	contact	contact	NN
cord-290952-tbsccwgx	27	28	-	-	HYPH
cord-290952-tbsccwgx	27	29	tracing	tracing	NN
cord-290952-tbsccwgx	27	30	of	of	IN
cord-290952-tbsccwgx	27	31	suspected	suspect	VBN
cord-290952-tbsccwgx	27	32	people	people	NNS
cord-290952-tbsccwgx	27	33	)	)	-RRB-
cord-290952-tbsccwgx	27	34	and	and	CC
cord-290952-tbsccwgx	27	35	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	27	36	(	(	-LRB-
cord-290952-tbsccwgx	27	37	or	or	CC
cord-290952-tbsccwgx	27	38	self	self	NN
cord-290952-tbsccwgx	27	39	-	-	HYPH
cord-290952-tbsccwgx	27	40	isolation	isolation	NN
cord-290952-tbsccwgx	27	41	)	)	-RRB-
cord-290952-tbsccwgx	27	42	of	of	IN
cord-290952-tbsccwgx	27	43	testing	test	VBG
cord-290952-tbsccwgx	27	44	positive	positive	JJ
cord-290952-tbsccwgx	27	45	COVID-19	covid-19	CD
cord-290952-tbsccwgx	27	46	cases	case	NNS
cord-290952-tbsccwgx	27	47	are	be	VBP
cord-290952-tbsccwgx	27	48	shown	show	VBN
cord-290952-tbsccwgx	27	49	graphically	graphically	RB
cord-290952-tbsccwgx	27	50	.	.	.
cord-290952-tbsccwgx	28	1	It	-PRON-	PRP
cord-290952-tbsccwgx	28	2	is	be	VBZ
cord-290952-tbsccwgx	28	3	observed	observe	VBN
cord-290952-tbsccwgx	28	4	that	that	IN
cord-290952-tbsccwgx	28	5	the	the	DT
cord-290952-tbsccwgx	28	6	most	most	RBS
cord-290952-tbsccwgx	28	7	effective	effective	JJ
cord-290952-tbsccwgx	28	8	strategy	strategy	NN
cord-290952-tbsccwgx	28	9	to	to	TO
cord-290952-tbsccwgx	28	10	minimize	minimize	VB
cord-290952-tbsccwgx	28	11	the	the	DT
cord-290952-tbsccwgx	28	12	disease	disease	NN
cord-290952-tbsccwgx	28	13	burden	burden	NN
cord-290952-tbsccwgx	28	14	is	be	VBZ
cord-290952-tbsccwgx	28	15	the	the	DT
cord-290952-tbsccwgx	28	16	implementation	implementation	NN
cord-290952-tbsccwgx	28	17	of	of	IN
cord-290952-tbsccwgx	28	18	maintaining	maintain	VBG
cord-290952-tbsccwgx	28	19	a	a	DT
cord-290952-tbsccwgx	28	20	strict	strict	JJ
cord-290952-tbsccwgx	28	21	social	social	NN
cord-290952-tbsccwgx	28	22	-	-	HYPH
cord-290952-tbsccwgx	28	23	distancing	distancing	NN
cord-290952-tbsccwgx	28	24	and	and	CC
cord-290952-tbsccwgx	28	25	contact	contact	NN
cord-290952-tbsccwgx	28	26	-	-	HYPH
cord-290952-tbsccwgx	28	27	tracing	tracing	NN
cord-290952-tbsccwgx	28	28	to	to	TO
cord-290952-tbsccwgx	28	29	quarantine	quarantine	VB
cord-290952-tbsccwgx	28	30	the	the	DT
cord-290952-tbsccwgx	28	31	exposed	expose	VBN
cord-290952-tbsccwgx	28	32	people	people	NNS
cord-290952-tbsccwgx	28	33	.	.	.
cord-290952-tbsccwgx	29	1	Furthermore	furthermore	RB
cord-290952-tbsccwgx	29	2	,	,	,
cord-290952-tbsccwgx	29	3	we	-PRON-	PRP
cord-290952-tbsccwgx	29	4	carried	carry	VBD
cord-290952-tbsccwgx	29	5	out	out	RP
cord-290952-tbsccwgx	29	6	the	the	DT
cord-290952-tbsccwgx	29	7	global	global	JJ
cord-290952-tbsccwgx	29	8	sensitivity	sensitivity	NN
cord-290952-tbsccwgx	29	9	analysis	analysis	NN
cord-290952-tbsccwgx	29	10	of	of	IN
cord-290952-tbsccwgx	29	11	the	the	DT
cord-290952-tbsccwgx	29	12	most	most	RBS
cord-290952-tbsccwgx	29	13	crucial	crucial	JJ
cord-290952-tbsccwgx	29	14	parameter	parameter	NN
cord-290952-tbsccwgx	29	15	known	know	VBN
cord-290952-tbsccwgx	29	16	as	as	IN
cord-290952-tbsccwgx	29	17	the	the	DT
cord-290952-tbsccwgx	29	18	basic	basic	JJ
cord-290952-tbsccwgx	29	19	reproduction	reproduction	NN
cord-290952-tbsccwgx	29	20	number	number	NN
cord-290952-tbsccwgx	29	21	using	use	VBG
cord-290952-tbsccwgx	29	22	the	the	DT
cord-290952-tbsccwgx	29	23	Latin	Latin	NNP
cord-290952-tbsccwgx	29	24	Hypercube	Hypercube	NNP
cord-290952-tbsccwgx	29	25	Sampling	Sampling	NNP
cord-290952-tbsccwgx	29	26	(	(	-LRB-
cord-290952-tbsccwgx	29	27	LHS	LHS	NNP
cord-290952-tbsccwgx	29	28	)	)	-RRB-
cord-290952-tbsccwgx	29	29	and	and	CC
cord-290952-tbsccwgx	29	30	the	the	DT
cord-290952-tbsccwgx	29	31	partial	partial	JJ
cord-290952-tbsccwgx	29	32	rank	rank	NN
cord-290952-tbsccwgx	29	33	correlation	correlation	NN
cord-290952-tbsccwgx	29	34	coefficient	coefficient	NN
cord-290952-tbsccwgx	29	35	(	(	-LRB-
cord-290952-tbsccwgx	29	36	PRCC	PRCC	NNP
cord-290952-tbsccwgx	29	37	)	)	-RRB-
cord-290952-tbsccwgx	29	38	techniques	technique	NNS
cord-290952-tbsccwgx	29	39	.	.	.
cord-290952-tbsccwgx	30	1	The	the	DT
cord-290952-tbsccwgx	30	2	proposed	propose	VBN
cord-290952-tbsccwgx	30	3	model	model	NN
cord-290952-tbsccwgx	30	4	is	be	VBZ
cord-290952-tbsccwgx	30	5	then	then	RB
cord-290952-tbsccwgx	30	6	reformulated	reformulate	VBN
cord-290952-tbsccwgx	30	7	by	by	IN
cord-290952-tbsccwgx	30	8	The	the	DT
cord-290952-tbsccwgx	30	9	novel	novel	JJ
cord-290952-tbsccwgx	30	10	coronavirus	coronavirus	NN
cord-290952-tbsccwgx	30	11	infectious	infectious	JJ
cord-290952-tbsccwgx	30	12	disease	disease	NN
cord-290952-tbsccwgx	30	13	,	,	,
cord-290952-tbsccwgx	30	14	caused	cause	VBN
cord-290952-tbsccwgx	30	15	by	by	IN
cord-290952-tbsccwgx	30	16	the	the	DT
cord-290952-tbsccwgx	30	17	coronavirus	coronavirus	NN
cord-290952-tbsccwgx	30	18	is	be	VBZ
cord-290952-tbsccwgx	30	19	commonly	commonly	RB
cord-290952-tbsccwgx	30	20	known	know	VBN
cord-290952-tbsccwgx	30	21	as	as	IN
cord-290952-tbsccwgx	30	22	COVID-	covid-	NN
cord-290952-tbsccwgx	30	23	19	19	CD
cord-290952-tbsccwgx	30	24	.	.	.
cord-290952-tbsccwgx	31	1	It	-PRON-	PRP
cord-290952-tbsccwgx	31	2	has	have	VBZ
cord-290952-tbsccwgx	31	3	become	become	VBN
cord-290952-tbsccwgx	31	4	the	the	DT
cord-290952-tbsccwgx	31	5	greatest	great	JJS
cord-290952-tbsccwgx	31	6	challenge	challenge	NN
cord-290952-tbsccwgx	31	7	the	the	DT
cord-290952-tbsccwgx	31	8	history	history	NN
cord-290952-tbsccwgx	31	9	has	have	VBZ
cord-290952-tbsccwgx	31	10	ever	ever	RB
cord-290952-tbsccwgx	31	11	seen	see	VBN
cord-290952-tbsccwgx	31	12	.	.	.
cord-290952-tbsccwgx	32	1	Started	start	VBN
cord-290952-tbsccwgx	32	2	from	from	IN
cord-290952-tbsccwgx	32	3	Wuhan	Wuhan	NNP
cord-290952-tbsccwgx	32	4	city	city	NN
cord-290952-tbsccwgx	32	5	of	of	IN
cord-290952-tbsccwgx	32	6	China	China	NNP
cord-290952-tbsccwgx	32	7	earlier	early	RBR
cord-290952-tbsccwgx	32	8	this	this	DT
cord-290952-tbsccwgx	32	9	year	year	NN
cord-290952-tbsccwgx	32	10	,	,	,
cord-290952-tbsccwgx	32	11	it	-PRON-	PRP
cord-290952-tbsccwgx	32	12	spread	spread	VBD
cord-290952-tbsccwgx	32	13	to	to	IN
cord-290952-tbsccwgx	32	14	the	the	DT
cord-290952-tbsccwgx	32	15	rest	rest	NN
cord-290952-tbsccwgx	32	16	of	of	IN
cord-290952-tbsccwgx	32	17	the	the	DT
cord-290952-tbsccwgx	32	18	world	world	NN
cord-290952-tbsccwgx	32	19	in	in	IN
cord-290952-tbsccwgx	32	20	a	a	DT
cord-290952-tbsccwgx	32	21	few	few	JJ
cord-290952-tbsccwgx	32	22	months	month	NNS
cord-290952-tbsccwgx	32	23	and	and	CC
cord-290952-tbsccwgx	32	24	was	be	VBD
cord-290952-tbsccwgx	32	25	declared	declare	VBN
cord-290952-tbsccwgx	32	26	a	a	DT
cord-290952-tbsccwgx	32	27	pandemic	pandemic	NN
cord-290952-tbsccwgx	32	28	by	by	IN
cord-290952-tbsccwgx	32	29	the	the	DT
cord-290952-tbsccwgx	32	30	UN	UN	NNP
cord-290952-tbsccwgx	32	31	.	.	.
cord-290952-tbsccwgx	33	1	It	-PRON-	PRP
cord-290952-tbsccwgx	33	2	has	have	VBZ
cord-290952-tbsccwgx	33	3	paralyzed	paralyze	VBN
cord-290952-tbsccwgx	33	4	life	life	NN
cord-290952-tbsccwgx	33	5	across	across	IN
cord-290952-tbsccwgx	33	6	the	the	DT
cord-290952-tbsccwgx	33	7	globe	globe	NN
cord-290952-tbsccwgx	33	8	.	.	.
cord-290952-tbsccwgx	34	1	The	the	DT
cord-290952-tbsccwgx	34	2	main	main	JJ
cord-290952-tbsccwgx	34	3	cause	cause	NN
cord-290952-tbsccwgx	34	4	of	of	IN
cord-290952-tbsccwgx	34	5	the	the	DT
cord-290952-tbsccwgx	34	6	virus	virus	NN
cord-290952-tbsccwgx	34	7	is	be	VBZ
cord-290952-tbsccwgx	34	8	yet	yet	RB
cord-290952-tbsccwgx	34	9	to	to	TO
cord-290952-tbsccwgx	34	10	be	be	VB
cord-290952-tbsccwgx	34	11	discovered	discover	VBN
cord-290952-tbsccwgx	34	12	,	,	,
cord-290952-tbsccwgx	34	13	but	but	CC
cord-290952-tbsccwgx	34	14	it	-PRON-	PRP
cord-290952-tbsccwgx	34	15	is	be	VBZ
cord-290952-tbsccwgx	34	16	presumed	presume	VBN
cord-290952-tbsccwgx	34	17	that	that	IN
cord-290952-tbsccwgx	34	18	it	-PRON-	PRP
cord-290952-tbsccwgx	34	19	has	have	VBZ
cord-290952-tbsccwgx	34	20	emerged	emerge	VBN
cord-290952-tbsccwgx	34	21	in	in	IN
cord-290952-tbsccwgx	34	22	one	one	NN
cord-290952-tbsccwgx	34	23	the	the	DT
cord-290952-tbsccwgx	34	24	biggest	big	JJS
cord-290952-tbsccwgx	34	25	animal	animal	NN
cord-290952-tbsccwgx	34	26	market	market	NN
cord-290952-tbsccwgx	34	27	in	in	IN
cord-290952-tbsccwgx	34	28	the	the	DT
cord-290952-tbsccwgx	34	29	Chinese	Chinese	NNP
cord-290952-tbsccwgx	34	30	City	City	NNP
cord-290952-tbsccwgx	34	31	of	of	IN
cord-290952-tbsccwgx	34	32	Wuhan	Wuhan	NNP
cord-290952-tbsccwgx	34	33	[	[	-LRB-
cord-290952-tbsccwgx	34	34	1	1	CD
cord-290952-tbsccwgx	34	35	,	,	,
cord-290952-tbsccwgx	34	36	2	2	CD
cord-290952-tbsccwgx	34	37	,	,	,
cord-290952-tbsccwgx	34	38	3	3	CD
cord-290952-tbsccwgx	34	39	]	]	-RRB-
cord-290952-tbsccwgx	34	40	.	.	.
cord-290952-tbsccwgx	35	1	So	so	RB
cord-290952-tbsccwgx	35	2	far	far	RB
cord-290952-tbsccwgx	35	3	,	,	,
cord-290952-tbsccwgx	35	4	it	-PRON-	PRP
cord-290952-tbsccwgx	35	5	has	have	VBZ
cord-290952-tbsccwgx	35	6	engulfed	engulf	VBN
cord-290952-tbsccwgx	35	7	more	more	JJR
cord-290952-tbsccwgx	35	8	than	than	IN
cord-290952-tbsccwgx	35	9	210	210	CD
cord-290952-tbsccwgx	35	10	countries	country	NNS
cord-290952-tbsccwgx	35	11	of	of	IN
cord-290952-tbsccwgx	35	12	the	the	DT
cord-290952-tbsccwgx	35	13	world	world	NN
cord-290952-tbsccwgx	35	14	and	and	CC
cord-290952-tbsccwgx	35	15	according	accord	VBG
cord-290952-tbsccwgx	35	16	to	to	IN
cord-290952-tbsccwgx	35	17	WHO	WHO	NNP
cord-290952-tbsccwgx	35	18	statistics	statistic	NNS
cord-290952-tbsccwgx	35	19	,	,	,
cord-290952-tbsccwgx	35	20	the	the	DT
cord-290952-tbsccwgx	35	21	virus	virus	NN
cord-290952-tbsccwgx	35	22	has	have	VBZ
cord-290952-tbsccwgx	35	23	affected	affect	VBN
cord-290952-tbsccwgx	35	24	around	around	IN
cord-290952-tbsccwgx	35	25	6	6	CD
cord-290952-tbsccwgx	35	26	million	million	CD
cord-290952-tbsccwgx	35	27	people	people	NNS
cord-290952-tbsccwgx	35	28	across	across	IN
cord-290952-tbsccwgx	35	29	the	the	DT
cord-290952-tbsccwgx	35	30	world	world	NN
cord-290952-tbsccwgx	35	31	and	and	CC
cord-290952-tbsccwgx	35	32	more	more	JJR
cord-290952-tbsccwgx	35	33	than	than	IN
cord-290952-tbsccwgx	35	34	300	300	CD
cord-290952-tbsccwgx	35	35	thousand	thousand	CD
cord-290952-tbsccwgx	35	36	people	people	NNS
cord-290952-tbsccwgx	35	37	have	have	VBP
cord-290952-tbsccwgx	35	38	died	die	VBN
cord-290952-tbsccwgx	35	39	so	so	RB
cord-290952-tbsccwgx	35	40	far	far	RB
cord-290952-tbsccwgx	35	41	[	[	-LRB-
cord-290952-tbsccwgx	35	42	1	1	CD
cord-290952-tbsccwgx	35	43	,	,	,
cord-290952-tbsccwgx	35	44	2	2	CD
cord-290952-tbsccwgx	35	45	,	,	,
cord-290952-tbsccwgx	35	46	3	3	CD
cord-290952-tbsccwgx	35	47	]	]	-RRB-
cord-290952-tbsccwgx	35	48	.	.	.
cord-290952-tbsccwgx	36	1	The	the	DT
cord-290952-tbsccwgx	36	2	recovery	recovery	NN
cord-290952-tbsccwgx	36	3	rate	rate	NN
cord-290952-tbsccwgx	36	4	is	be	VBZ
cord-290952-tbsccwgx	36	5	higher	high	JJR
cord-290952-tbsccwgx	36	6	than	than	IN
cord-290952-tbsccwgx	36	7	the	the	DT
cord-290952-tbsccwgx	36	8	mortality	mortality	NN
cord-290952-tbsccwgx	36	9	rate	rate	NN
cord-290952-tbsccwgx	36	10	.	.	.
cord-290952-tbsccwgx	37	1	However	however	RB
cord-290952-tbsccwgx	37	2	,	,	,
cord-290952-tbsccwgx	37	3	the	the	DT
cord-290952-tbsccwgx	37	4	ratio	ratio	NN
cord-290952-tbsccwgx	37	5	varies	vary	VBZ
cord-290952-tbsccwgx	37	6	from	from	IN
cord-290952-tbsccwgx	37	7	country	country	NN
cord-290952-tbsccwgx	37	8	to	to	IN
cord-290952-tbsccwgx	37	9	country	country	NN
cord-290952-tbsccwgx	37	10	and	and	CC
cord-290952-tbsccwgx	37	11	region	region	NN
cord-290952-tbsccwgx	37	12	to	to	IN
cord-290952-tbsccwgx	37	13	region	region	NN
cord-290952-tbsccwgx	37	14	.	.	.
cord-290952-tbsccwgx	38	1	USA	USA	NNP
cord-290952-tbsccwgx	38	2	is	be	VBZ
cord-290952-tbsccwgx	38	3	the	the	DT
cord-290952-tbsccwgx	38	4	most	most	RBS
cord-290952-tbsccwgx	38	5	affected	affected	JJ
cord-290952-tbsccwgx	38	6	country	country	NN
cord-290952-tbsccwgx	38	7	which	which	WDT
cord-290952-tbsccwgx	38	8	is	be	VBZ
cord-290952-tbsccwgx	38	9	the	the	DT
cord-290952-tbsccwgx	38	10	epicenter	epicenter	NN
cord-290952-tbsccwgx	38	11	of	of	IN
cord-290952-tbsccwgx	38	12	the	the	DT
cord-290952-tbsccwgx	38	13	virus	virus	NN
cord-290952-tbsccwgx	38	14	followed	follow	VBN
cord-290952-tbsccwgx	38	15	by	by	IN
cord-290952-tbsccwgx	38	16	Europe	Europe	NNP
cord-290952-tbsccwgx	38	17	[	[	-LRB-
cord-290952-tbsccwgx	38	18	2	2	CD
cord-290952-tbsccwgx	38	19	]	]	-RRB-
cord-290952-tbsccwgx	38	20	.	.	.
cord-290952-tbsccwgx	39	1	Scientists	scientist	NNS
cord-290952-tbsccwgx	39	2	are	be	VBP
cord-290952-tbsccwgx	39	3	struggling	struggle	VBG
cord-290952-tbsccwgx	39	4	to	to	TO
cord-290952-tbsccwgx	39	5	discover	discover	VB
cord-290952-tbsccwgx	39	6	or	or	CC
cord-290952-tbsccwgx	39	7	invent	invent	VB
cord-290952-tbsccwgx	39	8	a	a	DT
cord-290952-tbsccwgx	39	9	vaccine	vaccine	NN
cord-290952-tbsccwgx	39	10	for	for	IN
cord-290952-tbsccwgx	39	11	the	the	DT
cord-290952-tbsccwgx	39	12	treatment	treatment	NN
cord-290952-tbsccwgx	39	13	,	,	,
cord-290952-tbsccwgx	39	14	but	but	CC
cord-290952-tbsccwgx	39	15	it	-PRON-	PRP
cord-290952-tbsccwgx	39	16	is	be	VBZ
cord-290952-tbsccwgx	39	17	yet	yet	RB
cord-290952-tbsccwgx	39	18	to	to	TO
cord-290952-tbsccwgx	39	19	be	be	VB
cord-290952-tbsccwgx	39	20	discovered	discover	VBN
cord-290952-tbsccwgx	39	21	.	.	.
cord-290952-tbsccwgx	40	1	The	the	DT
cord-290952-tbsccwgx	40	2	question	question	NN
cord-290952-tbsccwgx	40	3	,	,	,
cord-290952-tbsccwgx	40	4	how	how	WRB
cord-290952-tbsccwgx	40	5	long	long	RB
cord-290952-tbsccwgx	40	6	it	-PRON-	PRP
cord-290952-tbsccwgx	40	7	will	will	MD
cord-290952-tbsccwgx	40	8	last	last	VB
cord-290952-tbsccwgx	40	9	?	?	.
cord-290952-tbsccwgx	41	1	is	be	VBZ
cord-290952-tbsccwgx	41	2	on	on	IN
cord-290952-tbsccwgx	41	3	everyone	everyone	NN
cord-290952-tbsccwgx	41	4	's	's	POS
cord-290952-tbsccwgx	41	5	lips	lip	NNS
cord-290952-tbsccwgx	41	6	.	.	.
cord-290952-tbsccwgx	42	1	Although	although	IN
cord-290952-tbsccwgx	42	2	research	research	NN
cord-290952-tbsccwgx	42	3	is	be	VBZ
cord-290952-tbsccwgx	42	4	in	in	IN
cord-290952-tbsccwgx	42	5	a	a	DT
cord-290952-tbsccwgx	42	6	very	very	RB
cord-290952-tbsccwgx	42	7	early	early	JJ
cord-290952-tbsccwgx	42	8	stage	stage	NN
cord-290952-tbsccwgx	42	9	and	and	CC
cord-290952-tbsccwgx	42	10	with	with	IN
cord-290952-tbsccwgx	42	11	the	the	DT
cord-290952-tbsccwgx	42	12	passage	passage	NN
cord-290952-tbsccwgx	42	13	of	of	IN
cord-290952-tbsccwgx	42	14	time	time	NN
cord-290952-tbsccwgx	42	15	things	thing	NNS
cord-290952-tbsccwgx	42	16	will	will	MD
cord-290952-tbsccwgx	42	17	unfold	unfold	VB
cord-290952-tbsccwgx	42	18	.	.	.
cord-290952-tbsccwgx	43	1	The	the	DT
cord-290952-tbsccwgx	43	2	scientists	scientist	NNS
cord-290952-tbsccwgx	43	3	are	be	VBP
cord-290952-tbsccwgx	43	4	trying	try	VBG
cord-290952-tbsccwgx	43	5	to	to	TO
cord-290952-tbsccwgx	43	6	dig	dig	VB
cord-290952-tbsccwgx	43	7	out	out	RP
cord-290952-tbsccwgx	43	8	the	the	DT
cord-290952-tbsccwgx	43	9	main	main	JJ
cord-290952-tbsccwgx	43	10	symptoms	symptom	NNS
cord-290952-tbsccwgx	43	11	and	and	CC
cord-290952-tbsccwgx	43	12	causes	cause	NNS
cord-290952-tbsccwgx	43	13	of	of	IN
cord-290952-tbsccwgx	43	14	transmission	transmission	NN
cord-290952-tbsccwgx	43	15	.	.	.
cord-290952-tbsccwgx	44	1	However	however	RB
cord-290952-tbsccwgx	44	2	,	,	,
cord-290952-tbsccwgx	44	3	according	accord	VBG
cord-290952-tbsccwgx	44	4	to	to	IN
cord-290952-tbsccwgx	44	5	the	the	DT
cord-290952-tbsccwgx	44	6	information	information	NN
cord-290952-tbsccwgx	44	7	available	available	JJ
cord-290952-tbsccwgx	44	8	the	the	DT
cord-290952-tbsccwgx	44	9	main	main	JJ
cord-290952-tbsccwgx	44	10	symptoms	symptom	NNS
cord-290952-tbsccwgx	44	11	are	be	VBP
cord-290952-tbsccwgx	44	12	high	high	JJ
cord-290952-tbsccwgx	44	13	fever	fever	NN
cord-290952-tbsccwgx	44	14	,	,	,
cord-290952-tbsccwgx	44	15	severe	severe	JJ
cord-290952-tbsccwgx	44	16	chest	chest	NN
cord-290952-tbsccwgx	44	17	pain	pain	NN
cord-290952-tbsccwgx	44	18	,	,	,
cord-290952-tbsccwgx	44	19	continuous	continuous	JJ
cord-290952-tbsccwgx	44	20	dry	dry	JJ
cord-290952-tbsccwgx	44	21	coughing	coughing	NN
cord-290952-tbsccwgx	44	22	,	,	,
cord-290952-tbsccwgx	44	23	body	body	NN
cord-290952-tbsccwgx	44	24	aches	ache	NNS
cord-290952-tbsccwgx	44	25	,	,	,
cord-290952-tbsccwgx	44	26	headache	headache	NN
cord-290952-tbsccwgx	44	27	and	and	CC
cord-290952-tbsccwgx	44	28	difficulty	difficulty	NN
cord-290952-tbsccwgx	44	29	in	in	IN
cord-290952-tbsccwgx	44	30	the	the	DT
cord-290952-tbsccwgx	44	31	respiratory	respiratory	JJ
cord-290952-tbsccwgx	44	32	system	system	NN
cord-290952-tbsccwgx	44	33	.	.	.
cord-290952-tbsccwgx	45	1	The	the	DT
cord-290952-tbsccwgx	45	2	spread	spread	NN
cord-290952-tbsccwgx	45	3	,	,	,
cord-290952-tbsccwgx	45	4	according	accord	VBG
cord-290952-tbsccwgx	45	5	to	to	IN
cord-290952-tbsccwgx	45	6	available	available	JJ
cord-290952-tbsccwgx	45	7	information	information	NN
cord-290952-tbsccwgx	45	8	,	,	,
cord-290952-tbsccwgx	45	9	is	be	VBZ
cord-290952-tbsccwgx	45	10	droplets	droplet	NNS
cord-290952-tbsccwgx	45	11	,	,	,
cord-290952-tbsccwgx	45	12	produced	produce	VBN
cord-290952-tbsccwgx	45	13	by	by	IN
cord-290952-tbsccwgx	45	14	an	an	DT
cord-290952-tbsccwgx	45	15	infected	infected	JJ
cord-290952-tbsccwgx	45	16	person	person	NN
cord-290952-tbsccwgx	45	17	during	during	IN
cord-290952-tbsccwgx	45	18	coughing	cough	VBG
cord-290952-tbsccwgx	45	19	and	and	CC
cord-290952-tbsccwgx	45	20	sneezing	sneeze	VBG
cord-290952-tbsccwgx	45	21	and	and	CC
cord-290952-tbsccwgx	45	22	physical	physical	JJ
cord-290952-tbsccwgx	45	23	contacts	contact	NNS
cord-290952-tbsccwgx	45	24	,	,	,
cord-290952-tbsccwgx	45	25	etc	etc	FW
cord-290952-tbsccwgx	45	26	.	.	.
cord-290952-tbsccwgx	46	1	[	[	-LRB-
cord-290952-tbsccwgx	46	2	4	4	CD
cord-290952-tbsccwgx	46	3	]	]	-RRB-
cord-290952-tbsccwgx	46	4	.	.	.
cord-290952-tbsccwgx	47	1	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	47	2	pandemic	pandemic	NN
cord-290952-tbsccwgx	47	3	has	have	VBZ
cord-290952-tbsccwgx	47	4	caused	cause	VBN
cord-290952-tbsccwgx	47	5	great	great	JJ
cord-290952-tbsccwgx	47	6	damage	damage	NN
cord-290952-tbsccwgx	47	7	not	not	RB
cord-290952-tbsccwgx	47	8	only	only	RB
cord-290952-tbsccwgx	47	9	to	to	IN
cord-290952-tbsccwgx	47	10	human	human	JJ
cord-290952-tbsccwgx	47	11	lives	life	NNS
cord-290952-tbsccwgx	47	12	and	and	CC
cord-290952-tbsccwgx	47	13	health	health	NN
cord-290952-tbsccwgx	47	14	it	-PRON-	PRP
cord-290952-tbsccwgx	47	15	has	have	VBZ
cord-290952-tbsccwgx	47	16	multidimensional	multidimensional	JJ
cord-290952-tbsccwgx	47	17	effects	effect	NNS
cord-290952-tbsccwgx	47	18	.	.	.
cord-290952-tbsccwgx	48	1	It	-PRON-	PRP
cord-290952-tbsccwgx	48	2	not	not	RB
cord-290952-tbsccwgx	48	3	only	only	RB
cord-290952-tbsccwgx	48	4	exposed	expose	VBD
cord-290952-tbsccwgx	48	5	the	the	DT
cord-290952-tbsccwgx	48	6	weak	weak	JJ
cord-290952-tbsccwgx	48	7	health	health	NN
cord-290952-tbsccwgx	48	8	infrastructure	infrastructure	NN
cord-290952-tbsccwgx	48	9	even	even	RB
cord-290952-tbsccwgx	48	10	in	in	IN
cord-290952-tbsccwgx	48	11	the	the	DT
cord-290952-tbsccwgx	48	12	most	most	RBS
cord-290952-tbsccwgx	48	13	advanced	advanced	JJ
cord-290952-tbsccwgx	48	14	countries	country	NNS
cord-290952-tbsccwgx	48	15	of	of	IN
cord-290952-tbsccwgx	48	16	the	the	DT
cord-290952-tbsccwgx	48	17	world	world	NN
cord-290952-tbsccwgx	48	18	,	,	,
cord-290952-tbsccwgx	48	19	but	but	CC
cord-290952-tbsccwgx	48	20	also	also	RB
cord-290952-tbsccwgx	48	21	badly	badly	RB
cord-290952-tbsccwgx	48	22	affected	affect	VBD
cord-290952-tbsccwgx	48	23	the	the	DT
cord-290952-tbsccwgx	48	24	world	world	NN
cord-290952-tbsccwgx	48	25	economy	economy	NN
cord-290952-tbsccwgx	48	26	.	.	.
cord-290952-tbsccwgx	49	1	Almost	almost	RB
cord-290952-tbsccwgx	49	2	the	the	DT
cord-290952-tbsccwgx	49	3	entire	entire	JJ
cord-290952-tbsccwgx	49	4	world	world	NN
cord-290952-tbsccwgx	49	5	is	be	VBZ
cord-290952-tbsccwgx	49	6	on	on	IN
cord-290952-tbsccwgx	49	7	lockdown	lockdown	NN
cord-290952-tbsccwgx	49	8	and	and	CC
cord-290952-tbsccwgx	49	9	all	all	PDT
cord-290952-tbsccwgx	49	10	the	the	DT
cord-290952-tbsccwgx	49	11	economic	economic	JJ
cord-290952-tbsccwgx	49	12	and	and	CC
cord-290952-tbsccwgx	49	13	business	business	NN
cord-290952-tbsccwgx	49	14	activities	activity	NNS
cord-290952-tbsccwgx	49	15	are	be	VBP
cord-290952-tbsccwgx	49	16	halted	halt	VBN
cord-290952-tbsccwgx	49	17	.	.	.
cord-290952-tbsccwgx	50	1	It	-PRON-	PRP
cord-290952-tbsccwgx	50	2	has	have	VBZ
cord-290952-tbsccwgx	50	3	shocked	shock	VBN
cord-290952-tbsccwgx	50	4	the	the	DT
cord-290952-tbsccwgx	50	5	largest	large	JJS
cord-290952-tbsccwgx	50	6	economies	economy	NNS
cord-290952-tbsccwgx	50	7	of	of	IN
cord-290952-tbsccwgx	50	8	the	the	DT
cord-290952-tbsccwgx	50	9	world	world	NN
cord-290952-tbsccwgx	50	10	,	,	,
cord-290952-tbsccwgx	50	11	i.e.	i.e.	FW
cord-290952-tbsccwgx	50	12	China	China	NNP
cord-290952-tbsccwgx	50	13	and	and	CC
cord-290952-tbsccwgx	50	14	USA	USA	NNP
cord-290952-tbsccwgx	50	15	where	where	WRB
cord-290952-tbsccwgx	50	16	the	the	DT
cord-290952-tbsccwgx	50	17	economic	economic	JJ
cord-290952-tbsccwgx	50	18	slowdown	slowdown	NN
cord-290952-tbsccwgx	50	19	is	be	VBZ
cord-290952-tbsccwgx	50	20	observed	observe	VBN
cord-290952-tbsccwgx	50	21	since	since	IN
cord-290952-tbsccwgx	50	22	the	the	DT
cord-290952-tbsccwgx	50	23	outbreak	outbreak	NN
cord-290952-tbsccwgx	50	24	of	of	IN
cord-290952-tbsccwgx	50	25	coronavirus	coronavirus	NN
cord-290952-tbsccwgx	50	26	.	.	.
cord-290952-tbsccwgx	51	1	The	the	DT
cord-290952-tbsccwgx	51	2	third	third	JJ
cord-290952-tbsccwgx	51	3	world	world	NN
cord-290952-tbsccwgx	51	4	countries	country	NNS
cord-290952-tbsccwgx	51	5	,	,	,
cord-290952-tbsccwgx	51	6	particularly	particularly	RB
cord-290952-tbsccwgx	51	7	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	51	8	,	,	,
cord-290952-tbsccwgx	51	9	are	be	VBP
cord-290952-tbsccwgx	51	10	the	the	DT
cord-290952-tbsccwgx	51	11	prime	prime	JJ
cord-290952-tbsccwgx	51	12	targets	target	NNS
cord-290952-tbsccwgx	51	13	of	of	IN
cord-290952-tbsccwgx	51	14	the	the	DT
cord-290952-tbsccwgx	51	15	economic	economic	JJ
cord-290952-tbsccwgx	51	16	devastation	devastation	NN
cord-290952-tbsccwgx	51	17	.	.	.
cord-290952-tbsccwgx	52	1	Millions	million	NNS
cord-290952-tbsccwgx	52	2	of	of	IN
cord-290952-tbsccwgx	52	3	people	people	NNS
cord-290952-tbsccwgx	52	4	have	have	VBP
cord-290952-tbsccwgx	52	5	lost	lose	VBN
cord-290952-tbsccwgx	52	6	their	-PRON-	PRP$
cord-290952-tbsccwgx	52	7	jobs	job	NNS
cord-290952-tbsccwgx	52	8	in	in	IN
cord-290952-tbsccwgx	52	9	the	the	DT
cord-290952-tbsccwgx	52	10	past	past	JJ
cord-290952-tbsccwgx	52	11	few	few	JJ
cord-290952-tbsccwgx	52	12	months	month	NNS
cord-290952-tbsccwgx	52	13	.	.	.
cord-290952-tbsccwgx	53	1	Poor	poor	JJ
cord-290952-tbsccwgx	53	2	countries	country	NNS
cord-290952-tbsccwgx	53	3	are	be	VBP
cord-290952-tbsccwgx	53	4	unable	unable	JJ
cord-290952-tbsccwgx	53	5	to	to	TO
cord-290952-tbsccwgx	53	6	repay	repay	VB
cord-290952-tbsccwgx	53	7	their	-PRON-	PRP$
cord-290952-tbsccwgx	53	8	debts	debt	NNS
cord-290952-tbsccwgx	53	9	.	.	.
cord-290952-tbsccwgx	54	1	They	-PRON-	PRP
cord-290952-tbsccwgx	54	2	are	be	VBP
cord-290952-tbsccwgx	54	3	even	even	RB
cord-290952-tbsccwgx	54	4	unable	unable	JJ
cord-290952-tbsccwgx	54	5	to	to	TO
cord-290952-tbsccwgx	54	6	support	support	VB
cord-290952-tbsccwgx	54	7	poor	poor	JJ
cord-290952-tbsccwgx	54	8	citizens	citizen	NNS
cord-290952-tbsccwgx	54	9	who	who	WP
cord-290952-tbsccwgx	54	10	can	can	MD
cord-290952-tbsccwgx	54	11	not	not	RB
cord-290952-tbsccwgx	54	12	earn	earn	VB
cord-290952-tbsccwgx	54	13	their	-PRON-	PRP$
cord-290952-tbsccwgx	54	14	livelihood	livelihood	NN
cord-290952-tbsccwgx	54	15	.	.	.
cord-290952-tbsccwgx	55	1	The	the	DT
cord-290952-tbsccwgx	55	2	social	social	JJ
cord-290952-tbsccwgx	55	3	and	and	CC
cord-290952-tbsccwgx	55	4	political	political	JJ
cord-290952-tbsccwgx	55	5	lives	life	NNS
cord-290952-tbsccwgx	55	6	of	of	IN
cord-290952-tbsccwgx	55	7	the	the	DT
cord-290952-tbsccwgx	55	8	nations	nation	NNS
cord-290952-tbsccwgx	55	9	are	be	VBP
cord-290952-tbsccwgx	55	10	affected	affect	VBN
cord-290952-tbsccwgx	55	11	badly	badly	RB
cord-290952-tbsccwgx	55	12	.	.	.
cord-290952-tbsccwgx	56	1	People	People	NNS
cord-290952-tbsccwgx	56	2	across	across	IN
cord-290952-tbsccwgx	56	3	the	the	DT
cord-290952-tbsccwgx	56	4	world	world	NN
cord-290952-tbsccwgx	56	5	have	have	VBP
cord-290952-tbsccwgx	56	6	severed	sever	VBN
cord-290952-tbsccwgx	56	7	social	social	JJ
cord-290952-tbsccwgx	56	8	relations	relation	NNS
cord-290952-tbsccwgx	56	9	.	.	.
cord-290952-tbsccwgx	57	1	They	-PRON-	PRP
cord-290952-tbsccwgx	57	2	avoid	avoid	VBP
cord-290952-tbsccwgx	57	3	meeting	meet	VBG
cord-290952-tbsccwgx	57	4	each	each	DT
cord-290952-tbsccwgx	57	5	other	other	JJ
cord-290952-tbsccwgx	57	6	even	even	RB
cord-290952-tbsccwgx	57	7	in	in	IN
cord-290952-tbsccwgx	57	8	the	the	DT
cord-290952-tbsccwgx	57	9	gravest	grave	JJS
cord-290952-tbsccwgx	57	10	times	time	NNS
cord-290952-tbsccwgx	57	11	.	.	.
cord-290952-tbsccwgx	58	1	Governments	government	NNS
cord-290952-tbsccwgx	58	2	of	of	IN
cord-290952-tbsccwgx	58	3	all	all	PDT
cord-290952-tbsccwgx	58	4	the	the	DT
cord-290952-tbsccwgx	58	5	countries	country	NNS
cord-290952-tbsccwgx	58	6	have	have	VBP
cord-290952-tbsccwgx	58	7	diverted	divert	VBN
cord-290952-tbsccwgx	58	8	their	-PRON-	PRP$
cord-290952-tbsccwgx	58	9	attention	attention	NN
cord-290952-tbsccwgx	58	10	and	and	CC
cord-290952-tbsccwgx	58	11	resources	resource	NNS
cord-290952-tbsccwgx	58	12	to	to	TO
cord-290952-tbsccwgx	58	13	cope	cope	VB
cord-290952-tbsccwgx	58	14	with	with	IN
cord-290952-tbsccwgx	58	15	the	the	DT
cord-290952-tbsccwgx	58	16	challenge	challenge	NN
cord-290952-tbsccwgx	58	17	of	of	IN
cord-290952-tbsccwgx	58	18	this	this	DT
cord-290952-tbsccwgx	58	19	mysterious	mysterious	JJ
cord-290952-tbsccwgx	58	20	disease	disease	NN
cord-290952-tbsccwgx	58	21	and	and	CC
cord-290952-tbsccwgx	58	22	thus	thus	RB
cord-290952-tbsccwgx	58	23	no	no	DT
cord-290952-tbsccwgx	58	24	political	political	JJ
cord-290952-tbsccwgx	58	25	activity	activity	NN
cord-290952-tbsccwgx	58	26	is	be	VBZ
cord-290952-tbsccwgx	58	27	visible	visible	JJ
cord-290952-tbsccwgx	58	28	.	.	.
cord-290952-tbsccwgx	59	1	Like	like	IN
cord-290952-tbsccwgx	59	2	other	other	JJ
cord-290952-tbsccwgx	59	3	countries	country	NNS
cord-290952-tbsccwgx	59	4	in	in	IN
cord-290952-tbsccwgx	59	5	the	the	DT
cord-290952-tbsccwgx	59	6	world	world	NN
cord-290952-tbsccwgx	59	7	,	,	,
cord-290952-tbsccwgx	59	8	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	59	9	pandemic	pandemic	NN
cord-290952-tbsccwgx	59	10	poses	pose	VBZ
cord-290952-tbsccwgx	59	11	a	a	DT
cord-290952-tbsccwgx	59	12	huge	huge	JJ
cord-290952-tbsccwgx	59	13	threat	threat	NN
cord-290952-tbsccwgx	59	14	to	to	IN
cord-290952-tbsccwgx	59	15	both	both	DT
cord-290952-tbsccwgx	59	16	humans	human	NNS
cord-290952-tbsccwgx	59	17	health	health	NN
cord-290952-tbsccwgx	59	18	and	and	CC
cord-290952-tbsccwgx	59	19	economy	economy	NN
cord-290952-tbsccwgx	59	20	in	in	IN
cord-290952-tbsccwgx	59	21	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	59	22	.	.	.
cord-290952-tbsccwgx	60	1	This	this	DT
cord-290952-tbsccwgx	60	2	infection	infection	NN
cord-290952-tbsccwgx	60	3	is	be	VBZ
cord-290952-tbsccwgx	60	4	even	even	RB
cord-290952-tbsccwgx	60	5	more	more	RBR
cord-290952-tbsccwgx	60	6	devastating	devastating	JJ
cord-290952-tbsccwgx	60	7	in	in	IN
cord-290952-tbsccwgx	60	8	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	60	9	because	because	IN
cord-290952-tbsccwgx	60	10	the	the	DT
cord-290952-tbsccwgx	60	11	implementation	implementation	NN
cord-290952-tbsccwgx	60	12	of	of	IN
cord-290952-tbsccwgx	60	13	non	non	JJ
cord-290952-tbsccwgx	60	14	-	-	JJ
cord-290952-tbsccwgx	60	15	pharmaceutical	pharmaceutical	JJ
cord-290952-tbsccwgx	60	16	interventions	intervention	NNS
cord-290952-tbsccwgx	60	17	i.e.	i.e.	FW
cord-290952-tbsccwgx	60	18	,	,	,
cord-290952-tbsccwgx	60	19	make	make	VBP
cord-290952-tbsccwgx	60	20	social	social	NN
cord-290952-tbsccwgx	60	21	-	-	HYPH
cord-290952-tbsccwgx	60	22	distancing	distancing	NN
cord-290952-tbsccwgx	60	23	and	and	CC
cord-290952-tbsccwgx	60	24	community	community	NN
cord-290952-tbsccwgx	60	25	lockdowns	lockdown	NNS
cord-290952-tbsccwgx	60	26	are	be	VBP
cord-290952-tbsccwgx	60	27	certainly	certainly	RB
cord-290952-tbsccwgx	60	28	very	very	RB
cord-290952-tbsccwgx	60	29	tough	tough	JJ
cord-290952-tbsccwgx	60	30	for	for	IN
cord-290952-tbsccwgx	60	31	a	a	DT
cord-290952-tbsccwgx	60	32	society	society	NN
cord-290952-tbsccwgx	60	33	like	like	IN
cord-290952-tbsccwgx	60	34	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	60	35	.	.	.
cord-290952-tbsccwgx	61	1	The	the	DT
cord-290952-tbsccwgx	61	2	government	government	NN
cord-290952-tbsccwgx	61	3	is	be	VBZ
cord-290952-tbsccwgx	61	4	unable	unable	JJ
cord-290952-tbsccwgx	61	5	to	to	TO
cord-290952-tbsccwgx	61	6	afford	afford	VB
cord-290952-tbsccwgx	61	7	a	a	DT
cord-290952-tbsccwgx	61	8	strict	strict	JJ
cord-290952-tbsccwgx	61	9	nationwide	nationwide	JJ
cord-290952-tbsccwgx	61	10	lockdown	lockdown	NN
cord-290952-tbsccwgx	61	11	.	.	.
cord-290952-tbsccwgx	62	1	The	the	DT
cord-290952-tbsccwgx	62	2	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	62	3	first	first	JJ
cord-290952-tbsccwgx	62	4	case	case	NN
cord-290952-tbsccwgx	62	5	was	be	VBD
cord-290952-tbsccwgx	62	6	reported	report	VBN
cord-290952-tbsccwgx	62	7	on	on	IN
cord-290952-tbsccwgx	62	8	26	26	CD
cord-290952-tbsccwgx	62	9	February	February	NNP
cord-290952-tbsccwgx	62	10	2020	2020	CD
cord-290952-tbsccwgx	62	11	in	in	IN
cord-290952-tbsccwgx	62	12	Karachi	Karachi	NNP
cord-290952-tbsccwgx	62	13	which	which	WDT
cord-290952-tbsccwgx	62	14	was	be	VBD
cord-290952-tbsccwgx	62	15	a	a	DT
cord-290952-tbsccwgx	62	16	student	student	NN
cord-290952-tbsccwgx	62	17	come	come	VB
cord-290952-tbsccwgx	62	18	back	back	RB
cord-290952-tbsccwgx	62	19	from	from	IN
cord-290952-tbsccwgx	62	20	Iran	Iran	NNP
cord-290952-tbsccwgx	62	21	.	.	.
cord-290952-tbsccwgx	63	1	Later	later	RB
cord-290952-tbsccwgx	63	2	,	,	,
cord-290952-tbsccwgx	63	3	only	only	RB
cord-290952-tbsccwgx	63	4	within	within	IN
cord-290952-tbsccwgx	63	5	three	three	CD
cord-290952-tbsccwgx	63	6	weeks	week	NNS
cord-290952-tbsccwgx	63	7	,	,	,
cord-290952-tbsccwgx	63	8	the	the	DT
cord-290952-tbsccwgx	63	9	infection	infection	NN
cord-290952-tbsccwgx	63	10	spread	spread	VBD
cord-290952-tbsccwgx	63	11	in	in	IN
cord-290952-tbsccwgx	63	12	all	all	DT
cord-290952-tbsccwgx	63	13	four	four	CD
cord-290952-tbsccwgx	63	14	provinces	province	NNS
cord-290952-tbsccwgx	63	15	,	,	,
cord-290952-tbsccwgx	63	16	Gilgit	Gilgit	NNP
cord-290952-tbsccwgx	63	17	-	-	HYPH
cord-290952-tbsccwgx	63	18	Baltistan	Baltistan	NNP
cord-290952-tbsccwgx	63	19	,	,	,
cord-290952-tbsccwgx	63	20	Azad	Azad	NNP
cord-290952-tbsccwgx	63	21	Jammu	Jammu	NNP
cord-290952-tbsccwgx	63	22	and	and	CC
cord-290952-tbsccwgx	63	23	Kashmir	Kashmir	NNP
cord-290952-tbsccwgx	63	24	,	,	,
cord-290952-tbsccwgx	63	25	and	and	CC
cord-290952-tbsccwgx	63	26	the	the	DT
cord-290952-tbsccwgx	63	27	federal	federal	JJ
cord-290952-tbsccwgx	63	28	territory	territory	NN
cord-290952-tbsccwgx	63	29	of	of	IN
cord-290952-tbsccwgx	63	30	Islamabad	Islamabad	NNP
cord-290952-tbsccwgx	63	31	.	.	.
cord-290952-tbsccwgx	64	1	The	the	DT
cord-290952-tbsccwgx	64	2	total	total	JJ
cord-290952-tbsccwgx	64	3	number	number	NN
cord-290952-tbsccwgx	64	4	of	of	IN
cord-290952-tbsccwgx	64	5	confirmed	confirm	VBN
cord-290952-tbsccwgx	64	6	infected	infected	JJ
cord-290952-tbsccwgx	64	7	cases	case	NNS
cord-290952-tbsccwgx	64	8	raised	raise	VBN
cord-290952-tbsccwgx	64	9	to	to	IN
cord-290952-tbsccwgx	64	10	2291	2291	CD
cord-290952-tbsccwgx	64	11	across	across	IN
cord-290952-tbsccwgx	64	12	the	the	DT
cord-290952-tbsccwgx	64	13	nation	nation	NN
cord-290952-tbsccwgx	64	14	and	and	CC
cord-290952-tbsccwgx	64	15	252	252	CD
cord-290952-tbsccwgx	64	16	new	new	JJ
cord-290952-tbsccwgx	64	17	cases	case	NNS
cord-290952-tbsccwgx	64	18	were	be	VBD
cord-290952-tbsccwgx	64	19	reported	report	VBN
cord-290952-tbsccwgx	64	20	on	on	IN
cord-290952-tbsccwgx	64	21	1	1	CD
cord-290952-tbsccwgx	64	22	April	April	NNP
cord-290952-tbsccwgx	64	23	.	.	.
cord-290952-tbsccwgx	65	1	Due	due	IN
cord-290952-tbsccwgx	65	2	to	to	IN
cord-290952-tbsccwgx	65	3	the	the	DT
cord-290952-tbsccwgx	65	4	rapid	rapid	JJ
cord-290952-tbsccwgx	65	5	growth	growth	NN
cord-290952-tbsccwgx	65	6	of	of	IN
cord-290952-tbsccwgx	65	7	infected	infected	JJ
cord-290952-tbsccwgx	65	8	people	people	NNS
cord-290952-tbsccwgx	65	9	across	across	IN
cord-290952-tbsccwgx	65	10	the	the	DT
cord-290952-tbsccwgx	65	11	country	country	NN
cord-290952-tbsccwgx	65	12	the	the	DT
cord-290952-tbsccwgx	65	13	government	government	NN
cord-290952-tbsccwgx	65	14	of	of	IN
cord-290952-tbsccwgx	65	15	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	65	16	decided	decide	VBD
cord-290952-tbsccwgx	65	17	to	to	TO
cord-290952-tbsccwgx	65	18	put	put	VB
cord-290952-tbsccwgx	65	19	the	the	DT
cord-290952-tbsccwgx	65	20	whole	whole	JJ
cord-290952-tbsccwgx	65	21	nation	nation	NN
cord-290952-tbsccwgx	65	22	under	under	IN
cord-290952-tbsccwgx	65	23	strict	strict	JJ
cord-290952-tbsccwgx	65	24	lockdown	lockdown	NN
cord-290952-tbsccwgx	65	25	and	and	CC
cord-290952-tbsccwgx	65	26	later	later	RB
cord-290952-tbsccwgx	65	27	extended	extend	VBN
cord-290952-tbsccwgx	65	28	twice	twice	RB
cord-290952-tbsccwgx	65	29	until	until	IN
cord-290952-tbsccwgx	65	30	9	9	CD
cord-290952-tbsccwgx	65	31	May	May	NNP
cord-290952-tbsccwgx	65	32	,	,	,
cord-290952-tbsccwgx	65	33	due	due	IN
cord-290952-tbsccwgx	65	34	to	to	IN
cord-290952-tbsccwgx	65	35	a	a	DT
cord-290952-tbsccwgx	65	36	worse	bad	JJR
cord-290952-tbsccwgx	65	37	situation	situation	NN
cord-290952-tbsccwgx	65	38	.	.	.
cord-290952-tbsccwgx	66	1	Currently	currently	RB
cord-290952-tbsccwgx	66	2	,	,	,
cord-290952-tbsccwgx	66	3	the	the	DT
cord-290952-tbsccwgx	66	4	situation	situation	NN
cord-290952-tbsccwgx	66	5	in	in	IN
cord-290952-tbsccwgx	66	6	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	66	7	is	be	VBZ
cord-290952-tbsccwgx	66	8	worse	bad	JJR
cord-290952-tbsccwgx	66	9	and	and	CC
cord-290952-tbsccwgx	66	10	the	the	DT
cord-290952-tbsccwgx	66	11	number	number	NN
cord-290952-tbsccwgx	66	12	of	of	IN
cord-290952-tbsccwgx	66	13	confirmed	confirm	VBN
cord-290952-tbsccwgx	66	14	cases	case	NNS
cord-290952-tbsccwgx	66	15	crossed	cross	VBD
cord-290952-tbsccwgx	66	16	the	the	DT
cord-290952-tbsccwgx	66	17	cases	case	NNS
cord-290952-tbsccwgx	66	18	reported	report	VBN
cord-290952-tbsccwgx	66	19	in	in	IN
cord-290952-tbsccwgx	66	20	mainland	mainland	NN
cord-290952-tbsccwgx	66	21	China	China	NNP
cord-290952-tbsccwgx	66	22	.	.	.
cord-290952-tbsccwgx	67	1	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	67	2	is	be	VBZ
cord-290952-tbsccwgx	67	3	placed	place	VBN
cord-290952-tbsccwgx	67	4	17th	17th	NN
cord-290952-tbsccwgx	67	5	in	in	IN
cord-290952-tbsccwgx	67	6	the	the	DT
cord-290952-tbsccwgx	67	7	list	list	NN
cord-290952-tbsccwgx	67	8	of	of	IN
cord-290952-tbsccwgx	67	9	highly	highly	RB
cord-290952-tbsccwgx	67	10	reported	report	VBN
cord-290952-tbsccwgx	67	11	infected	infected	JJ
cord-290952-tbsccwgx	67	12	cases	case	NNS
cord-290952-tbsccwgx	67	13	and	and	CC
cord-290952-tbsccwgx	67	14	deaths	death	NNS
cord-290952-tbsccwgx	67	15	by	by	IN
cord-290952-tbsccwgx	67	16	countries	country	NNS
cord-290952-tbsccwgx	67	17	,	,	,
cord-290952-tbsccwgx	67	18	territories	territory	NNS
cord-290952-tbsccwgx	67	19	,	,	,
cord-290952-tbsccwgx	67	20	or	or	CC
cord-290952-tbsccwgx	67	21	areas	area	NNS
cord-290952-tbsccwgx	67	22	[	[	-LRB-
cord-290952-tbsccwgx	67	23	5	5	CD
cord-290952-tbsccwgx	67	24	,	,	,
cord-290952-tbsccwgx	67	25	6	6	CD
cord-290952-tbsccwgx	67	26	]	]	-RRB-
cord-290952-tbsccwgx	67	27	with	with	IN
cord-290952-tbsccwgx	67	28	a	a	DT
cord-290952-tbsccwgx	67	29	total	total	NN
cord-290952-tbsccwgx	67	30	of	of	IN
cord-290952-tbsccwgx	67	31	more	more	JJR
cord-290952-tbsccwgx	67	32	than	than	IN
cord-290952-tbsccwgx	67	33	100,000	100,000	CD
cord-290952-tbsccwgx	67	34	confirmed	confirm	VBD
cord-290952-tbsccwgx	67	35	COVID-19	covid-19	CD
cord-290952-tbsccwgx	67	36	cases	case	NNS
cord-290952-tbsccwgx	67	37	.	.	.
cord-290952-tbsccwgx	68	1	About	about	RB
cord-290952-tbsccwgx	68	2	31,000	31,000	CD
cord-290952-tbsccwgx	68	3	patients	patient	NNS
cord-290952-tbsccwgx	68	4	are	be	VBP
cord-290952-tbsccwgx	68	5	fully	fully	RB
cord-290952-tbsccwgx	68	6	recovered	recover	VBN
cord-290952-tbsccwgx	68	7	and	and	CC
cord-290952-tbsccwgx	68	8	1900	1900	CD
cord-290952-tbsccwgx	68	9	people	people	NNS
cord-290952-tbsccwgx	68	10	lost	lose	VBD
cord-290952-tbsccwgx	68	11	their	-PRON-	PRP$
cord-290952-tbsccwgx	68	12	lives	life	NNS
cord-290952-tbsccwgx	68	13	due	due	JJ
cord-290952-tbsccwgx	68	14	to	to	IN
cord-290952-tbsccwgx	68	15	this	this	DT
cord-290952-tbsccwgx	68	16	deadly	deadly	JJ
cord-290952-tbsccwgx	68	17	infection	infection	NN
cord-290952-tbsccwgx	68	18	[	[	-LRB-
cord-290952-tbsccwgx	68	19	7	7	CD
cord-290952-tbsccwgx	68	20	,	,	,
cord-290952-tbsccwgx	68	21	8	8	CD
cord-290952-tbsccwgx	68	22	]	]	-RRB-
cord-290952-tbsccwgx	68	23	.	.	.
cord-290952-tbsccwgx	69	1	Mathematical	mathematical	JJ
cord-290952-tbsccwgx	69	2	models	model	NNS
cord-290952-tbsccwgx	69	3	are	be	VBP
cord-290952-tbsccwgx	69	4	very	very	RB
cord-290952-tbsccwgx	69	5	useful	useful	JJ
cord-290952-tbsccwgx	69	6	in	in	IN
cord-290952-tbsccwgx	69	7	helping	help	VBG
cord-290952-tbsccwgx	69	8	us	-PRON-	PRP
cord-290952-tbsccwgx	69	9	to	to	TO
cord-290952-tbsccwgx	69	10	understand	understand	VB
cord-290952-tbsccwgx	69	11	the	the	DT
cord-290952-tbsccwgx	69	12	transmission	transmission	NN
cord-290952-tbsccwgx	69	13	dynamics	dynamic	NNS
cord-290952-tbsccwgx	69	14	and	and	CC
cord-290952-tbsccwgx	69	15	control	control	NN
cord-290952-tbsccwgx	69	16	of	of	IN
cord-290952-tbsccwgx	69	17	emerging	emerge	VBG
cord-290952-tbsccwgx	69	18	and	and	CC
cord-290952-tbsccwgx	69	19	re	re	VB
cord-290952-tbsccwgx	69	20	-	-	JJ
cord-290952-tbsccwgx	69	21	emerging	emerge	VBG
cord-290952-tbsccwgx	69	22	communicable	communicable	JJ
cord-290952-tbsccwgx	69	23	diseases	disease	NNS
cord-290952-tbsccwgx	69	24	.	.	.
cord-290952-tbsccwgx	70	1	One	one	CD
cord-290952-tbsccwgx	70	2	of	of	IN
cord-290952-tbsccwgx	70	3	the	the	DT
cord-290952-tbsccwgx	70	4	main	main	JJ
cord-290952-tbsccwgx	70	5	challenges	challenge	NNS
cord-290952-tbsccwgx	70	6	that	that	WDT
cord-290952-tbsccwgx	70	7	mankind	mankind	NN
cord-290952-tbsccwgx	70	8	is	be	VBZ
cord-290952-tbsccwgx	70	9	facing	face	VBG
cord-290952-tbsccwgx	70	10	nowadays	nowadays	RB
cord-290952-tbsccwgx	70	11	is	be	VBZ
cord-290952-tbsccwgx	70	12	predicting	predict	VBG
cord-290952-tbsccwgx	70	13	the	the	DT
cord-290952-tbsccwgx	70	14	severity	severity	NN
cord-290952-tbsccwgx	70	15	and	and	CC
cord-290952-tbsccwgx	70	16	suggest	suggest	VB
cord-290952-tbsccwgx	70	17	suitable	suitable	JJ
cord-290952-tbsccwgx	70	18	public	public	JJ
cord-290952-tbsccwgx	70	19	health	health	NN
cord-290952-tbsccwgx	70	20	intervention	intervention	NN
cord-290952-tbsccwgx	70	21	strategies	strategy	NNS
cord-290952-tbsccwgx	70	22	to	to	TO
cord-290952-tbsccwgx	70	23	curtail	curtail	VB
cord-290952-tbsccwgx	70	24	the	the	DT
cord-290952-tbsccwgx	70	25	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	70	26	pandemic	pandemic	NN
cord-290952-tbsccwgx	70	27	.	.	.
cord-290952-tbsccwgx	71	1	Recently	recently	RB
cord-290952-tbsccwgx	71	2	,	,	,
cord-290952-tbsccwgx	71	3	a	a	DT
cord-290952-tbsccwgx	71	4	number	number	NN
cord-290952-tbsccwgx	71	5	of	of	IN
cord-290952-tbsccwgx	71	6	mathematical	mathematical	JJ
cord-290952-tbsccwgx	71	7	models	model	NNS
cord-290952-tbsccwgx	71	8	have	have	VBP
cord-290952-tbsccwgx	71	9	been	be	VBN
cord-290952-tbsccwgx	71	10	proposed	propose	VBN
cord-290952-tbsccwgx	71	11	to	to	TO
cord-290952-tbsccwgx	71	12	explore	explore	VB
cord-290952-tbsccwgx	71	13	the	the	DT
cord-290952-tbsccwgx	71	14	transmission	transmission	NN
cord-290952-tbsccwgx	71	15	patterns	pattern	NNS
cord-290952-tbsccwgx	71	16	of	of	IN
cord-290952-tbsccwgx	71	17	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	71	18	pandemic	pandemic	NN
cord-290952-tbsccwgx	71	19	.	.	.
cord-290952-tbsccwgx	72	1	In	in	IN
cord-290952-tbsccwgx	72	2	[	[	-LRB-
cord-290952-tbsccwgx	72	3	9	9	CD
cord-290952-tbsccwgx	72	4	]	]	-RRB-
cord-290952-tbsccwgx	72	5	,	,	,
cord-290952-tbsccwgx	72	6	the	the	DT
cord-290952-tbsccwgx	72	7	authors	author	NNS
cord-290952-tbsccwgx	72	8	formulated	formulate	VBD
cord-290952-tbsccwgx	72	9	a	a	DT
cord-290952-tbsccwgx	72	10	deterministic	deterministic	JJ
cord-290952-tbsccwgx	72	11	model	model	NN
cord-290952-tbsccwgx	72	12	to	to	TO
cord-290952-tbsccwgx	72	13	explore	explore	VB
cord-290952-tbsccwgx	72	14	the	the	DT
cord-290952-tbsccwgx	72	15	impact	impact	NN
cord-290952-tbsccwgx	72	16	of	of	IN
cord-290952-tbsccwgx	72	17	various	various	JJ
cord-290952-tbsccwgx	72	18	public	public	JJ
cord-290952-tbsccwgx	72	19	interventions	intervention	NNS
cord-290952-tbsccwgx	72	20	on	on	IN
cord-290952-tbsccwgx	72	21	the	the	DT
cord-290952-tbsccwgx	72	22	dynamic	dynamic	JJ
cord-290952-tbsccwgx	72	23	and	and	CC
cord-290952-tbsccwgx	72	24	mitigation	mitigation	NN
cord-290952-tbsccwgx	72	25	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	72	26	in	in	IN
cord-290952-tbsccwgx	72	27	Ontario	Ontario	NNP
cord-290952-tbsccwgx	72	28	,	,	,
cord-290952-tbsccwgx	72	29	Canada	Canada	NNP
cord-290952-tbsccwgx	72	30	.	.	.
cord-290952-tbsccwgx	73	1	In	in	IN
cord-290952-tbsccwgx	73	2	[	[	-LRB-
cord-290952-tbsccwgx	73	3	10	10	CD
cord-290952-tbsccwgx	73	4	]	]	-RRB-
cord-290952-tbsccwgx	73	5	,	,	,
cord-290952-tbsccwgx	73	6	a	a	DT
cord-290952-tbsccwgx	73	7	mathematical	mathematical	JJ
cord-290952-tbsccwgx	73	8	model	model	NN
cord-290952-tbsccwgx	73	9	based	base	VBN
cord-290952-tbsccwgx	73	10	on	on	IN
cord-290952-tbsccwgx	73	11	nonlinear	nonlinear	JJ
cord-290952-tbsccwgx	73	12	differential	differential	JJ
cord-290952-tbsccwgx	73	13	equations	equation	NNS
cord-290952-tbsccwgx	73	14	is	be	VBZ
cord-290952-tbsccwgx	73	15	presented	present	VBN
cord-290952-tbsccwgx	73	16	to	to	TO
cord-290952-tbsccwgx	73	17	study	study	VB
cord-290952-tbsccwgx	73	18	the	the	DT
cord-290952-tbsccwgx	73	19	dynamics	dynamic	NNS
cord-290952-tbsccwgx	73	20	of	of	IN
cord-290952-tbsccwgx	73	21	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	73	22	infection	infection	NN
cord-290952-tbsccwgx	73	23	in	in	IN
cord-290952-tbsccwgx	73	24	highly	highly	RB
cord-290952-tbsccwgx	73	25	affected	affected	JJ
cord-290952-tbsccwgx	73	26	countries	country	NNS
cord-290952-tbsccwgx	73	27	that	that	WDT
cord-290952-tbsccwgx	73	28	are	be	VBP
cord-290952-tbsccwgx	73	29	China	China	NNP
cord-290952-tbsccwgx	73	30	,	,	,
cord-290952-tbsccwgx	73	31	Italy	Italy	NNP
cord-290952-tbsccwgx	73	32	,	,	,
cord-290952-tbsccwgx	73	33	and	and	CC
cord-290952-tbsccwgx	73	34	France	France	NNP
cord-290952-tbsccwgx	73	35	.	.	.
cord-290952-tbsccwgx	74	1	A	a	DT
cord-290952-tbsccwgx	74	2	fractional	fractional	JJ
cord-290952-tbsccwgx	74	3	-	-	HYPH
cord-290952-tbsccwgx	74	4	order	order	NN
cord-290952-tbsccwgx	74	5	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	74	6	model	model	NN
cord-290952-tbsccwgx	74	7	with	with	IN
cord-290952-tbsccwgx	74	8	the	the	DT
cord-290952-tbsccwgx	74	9	Atangana	Atangana	NNP
cord-290952-tbsccwgx	74	10	-	-	HYPH
cord-290952-tbsccwgx	74	11	Bleanu	Bleanu	NNP
cord-290952-tbsccwgx	74	12	-	-	HYPH
cord-290952-tbsccwgx	74	13	Caputo	Caputo	NNP
cord-290952-tbsccwgx	74	14	operator	operator	NN
cord-290952-tbsccwgx	74	15	is	be	VBZ
cord-290952-tbsccwgx	74	16	proposed	propose	VBN
cord-290952-tbsccwgx	74	17	by	by	IN
cord-290952-tbsccwgx	74	18	Khan	Khan	NNP
cord-290952-tbsccwgx	74	19	and	and	CC
cord-290952-tbsccwgx	74	20	Atangana	Atangana	NNP
cord-290952-tbsccwgx	74	21	[	[	-LRB-
cord-290952-tbsccwgx	74	22	11	11	CD
cord-290952-tbsccwgx	74	23	]	]	-RRB-
cord-290952-tbsccwgx	74	24	and	and	CC
cord-290952-tbsccwgx	74	25	implemented	implement	VBD
cord-290952-tbsccwgx	74	26	the	the	DT
cord-290952-tbsccwgx	74	27	model	model	NN
cord-290952-tbsccwgx	74	28	to	to	TO
cord-290952-tbsccwgx	74	29	analyze	analyze	VB
cord-290952-tbsccwgx	74	30	the	the	DT
cord-290952-tbsccwgx	74	31	infection	infection	NN
cord-290952-tbsccwgx	74	32	in	in	IN
cord-290952-tbsccwgx	74	33	Wuhan	Wuhan	NNP
cord-290952-tbsccwgx	74	34	.	.	.
cord-290952-tbsccwgx	75	1	The	the	DT
cord-290952-tbsccwgx	75	2	role	role	NN
cord-290952-tbsccwgx	75	3	of	of	IN
cord-290952-tbsccwgx	75	4	lockdown	lockdown	NN
cord-290952-tbsccwgx	75	5	in	in	IN
cord-290952-tbsccwgx	75	6	the	the	DT
cord-290952-tbsccwgx	75	7	absence	absence	NN
cord-290952-tbsccwgx	75	8	of	of	IN
cord-290952-tbsccwgx	75	9	effective	effective	JJ
cord-290952-tbsccwgx	75	10	vaccines	vaccine	NNS
cord-290952-tbsccwgx	75	11	and	and	CC
cord-290952-tbsccwgx	75	12	treatment	treatment	NN
cord-290952-tbsccwgx	75	13	in	in	IN
cord-290952-tbsccwgx	75	14	order	order	NN
cord-290952-tbsccwgx	75	15	to	to	TO
cord-290952-tbsccwgx	75	16	mitigate	mitigate	VB
cord-290952-tbsccwgx	75	17	the	the	DT
cord-290952-tbsccwgx	75	18	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	75	19	pandemic	pandemic	NN
cord-290952-tbsccwgx	75	20	is	be	VBZ
cord-290952-tbsccwgx	75	21	analyzed	analyze	VBN
cord-290952-tbsccwgx	75	22	in	in	IN
cord-290952-tbsccwgx	75	23	[	[	-LRB-
cord-290952-tbsccwgx	75	24	12	12	CD
cord-290952-tbsccwgx	75	25	]	]	-RRB-
cord-290952-tbsccwgx	75	26	.	.	.
cord-290952-tbsccwgx	76	1	The	the	DT
cord-290952-tbsccwgx	76	2	author	author	NN
cord-290952-tbsccwgx	76	3	has	have	VBZ
cord-290952-tbsccwgx	76	4	used	use	VBN
cord-290952-tbsccwgx	76	5	the	the	DT
cord-290952-tbsccwgx	76	6	novel	novel	JJ
cord-290952-tbsccwgx	76	7	fractional	fractional	JJ
cord-290952-tbsccwgx	76	8	-	-	HYPH
cord-290952-tbsccwgx	76	9	fractal	fractal	JJ
cord-290952-tbsccwgx	76	10	operators	operator	NNS
cord-290952-tbsccwgx	76	11	to	to	TO
cord-290952-tbsccwgx	76	12	formulate	formulate	VB
cord-290952-tbsccwgx	76	13	the	the	DT
cord-290952-tbsccwgx	76	14	proposed	propose	VBN
cord-290952-tbsccwgx	76	15	mathematical	mathematical	JJ
cord-290952-tbsccwgx	76	16	model	model	NN
cord-290952-tbsccwgx	76	17	[	[	-LRB-
cord-290952-tbsccwgx	76	18	12	12	CD
cord-290952-tbsccwgx	76	19	]	]	-RRB-
cord-290952-tbsccwgx	76	20	.	.	.
cord-290952-tbsccwgx	77	1	In	in	IN
cord-290952-tbsccwgx	77	2	[	[	-LRB-
cord-290952-tbsccwgx	77	3	13	13	CD
cord-290952-tbsccwgx	77	4	]	]	-RRB-
cord-290952-tbsccwgx	77	5	,	,	,
cord-290952-tbsccwgx	77	6	a	a	DT
cord-290952-tbsccwgx	77	7	transmission	transmission	NN
cord-290952-tbsccwgx	77	8	model	model	NN
cord-290952-tbsccwgx	77	9	is	be	VBZ
cord-290952-tbsccwgx	77	10	formulated	formulate	VBN
cord-290952-tbsccwgx	77	11	to	to	TO
cord-290952-tbsccwgx	77	12	predict	predict	VB
cord-290952-tbsccwgx	77	13	the	the	DT
cord-290952-tbsccwgx	77	14	cumulative	cumulative	JJ
cord-290952-tbsccwgx	77	15	COVID-19	covid-19	CD
cord-290952-tbsccwgx	77	16	cases	case	NNS
cord-290952-tbsccwgx	77	17	in	in	IN
cord-290952-tbsccwgx	77	18	Italy	Italy	NNP
cord-290952-tbsccwgx	77	19	,	,	,
cord-290952-tbsccwgx	77	20	UK	UK	NNP
cord-290952-tbsccwgx	77	21	,	,	,
cord-290952-tbsccwgx	77	22	and	and	CC
cord-290952-tbsccwgx	77	23	USA	USA	NNP
cord-290952-tbsccwgx	77	24	.	.	.
cord-290952-tbsccwgx	78	1	The	the	DT
cord-290952-tbsccwgx	78	2	transmission	transmission	NN
cord-290952-tbsccwgx	78	3	dynamics	dynamic	NNS
cord-290952-tbsccwgx	78	4	of	of	IN
cord-290952-tbsccwgx	78	5	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	78	6	in	in	IN
cord-290952-tbsccwgx	78	7	Mexico	Mexico	NNP
cord-290952-tbsccwgx	78	8	are	be	VBP
cord-290952-tbsccwgx	78	9	studied	study	VBN
cord-290952-tbsccwgx	78	10	using	use	VBG
cord-290952-tbsccwgx	78	11	mathematical	mathematical	JJ
cord-290952-tbsccwgx	78	12	and	and	CC
cord-290952-tbsccwgx	78	13	computational	computational	JJ
cord-290952-tbsccwgx	78	14	models	model	NNS
cord-290952-tbsccwgx	78	15	in	in	IN
cord-290952-tbsccwgx	78	16	[	[	-LRB-
cord-290952-tbsccwgx	78	17	14	14	CD
cord-290952-tbsccwgx	78	18	]	]	-RRB-
cord-290952-tbsccwgx	78	19	.	.	.
cord-290952-tbsccwgx	79	1	The	the	DT
cord-290952-tbsccwgx	79	2	influence	influence	NN
cord-290952-tbsccwgx	79	3	of	of	IN
cord-290952-tbsccwgx	79	4	non	non	JJ
cord-290952-tbsccwgx	79	5	-	-	JJ
cord-290952-tbsccwgx	79	6	pharmaceutical	pharmaceutical	JJ
cord-290952-tbsccwgx	79	7	controls	control	NNS
cord-290952-tbsccwgx	79	8	,	,	,
cord-290952-tbsccwgx	79	9	including	include	VBG
cord-290952-tbsccwgx	79	10	quarantine	quarantine	NN
cord-290952-tbsccwgx	79	11	,	,	,
cord-290952-tbsccwgx	79	12	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	79	13	or	or	CC
cord-290952-tbsccwgx	79	14	self	self	NN
cord-290952-tbsccwgx	79	15	-	-	HYPH
cord-290952-tbsccwgx	79	16	isolation	isolation	NN
cord-290952-tbsccwgx	79	17	,	,	,
cord-290952-tbsccwgx	79	18	contact	contact	NN
cord-290952-tbsccwgx	79	19	-	-	HYPH
cord-290952-tbsccwgx	79	20	tracing	tracing	NN
cord-290952-tbsccwgx	79	21	,	,	,
cord-290952-tbsccwgx	79	22	and	and	CC
cord-290952-tbsccwgx	79	23	the	the	DT
cord-290952-tbsccwgx	79	24	use	use	NN
cord-290952-tbsccwgx	79	25	of	of	IN
cord-290952-tbsccwgx	79	26	a	a	DT
cord-290952-tbsccwgx	79	27	face	face	NN
cord-290952-tbsccwgx	79	28	mask	mask	NN
cord-290952-tbsccwgx	79	29	on	on	IN
cord-290952-tbsccwgx	79	30	the	the	DT
cord-290952-tbsccwgx	79	31	dynamics	dynamic	NNS
cord-290952-tbsccwgx	79	32	of	of	IN
cord-290952-tbsccwgx	79	33	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	79	34	pandemic	pandemic	NN
cord-290952-tbsccwgx	79	35	in	in	IN
cord-290952-tbsccwgx	79	36	the	the	DT
cord-290952-tbsccwgx	79	37	population	population	NN
cord-290952-tbsccwgx	79	38	of	of	IN
cord-290952-tbsccwgx	79	39	New	New	NNP
cord-290952-tbsccwgx	79	40	York	York	NNP
cord-290952-tbsccwgx	79	41	state	state	NN
cord-290952-tbsccwgx	79	42	and	and	CC
cord-290952-tbsccwgx	79	43	the	the	DT
cord-290952-tbsccwgx	79	44	entire	entire	JJ
cord-290952-tbsccwgx	79	45	USA	USA	NNP
cord-290952-tbsccwgx	79	46	is	be	VBZ
cord-290952-tbsccwgx	79	47	studied	study	VBN
cord-290952-tbsccwgx	79	48	in	in	IN
cord-290952-tbsccwgx	79	49	detail	detail	NN
cord-290952-tbsccwgx	79	50	in	in	IN
cord-290952-tbsccwgx	79	51	[	[	-LRB-
cord-290952-tbsccwgx	79	52	15	15	CD
cord-290952-tbsccwgx	79	53	]	]	-RRB-
cord-290952-tbsccwgx	79	54	.	.	.
cord-290952-tbsccwgx	80	1	The	the	DT
cord-290952-tbsccwgx	80	2	present	present	JJ
cord-290952-tbsccwgx	80	3	study	study	NN
cord-290952-tbsccwgx	80	4	proposes	propose	VBZ
cord-290952-tbsccwgx	80	5	a	a	DT
cord-290952-tbsccwgx	80	6	new	new	JJ
cord-290952-tbsccwgx	80	7	transmission	transmission	NN
cord-290952-tbsccwgx	80	8	model	model	NN
cord-290952-tbsccwgx	80	9	to	to	TO
cord-290952-tbsccwgx	80	10	analyze	analyze	VB
cord-290952-tbsccwgx	80	11	the	the	DT
cord-290952-tbsccwgx	80	12	dynamics	dynamic	NNS
cord-290952-tbsccwgx	80	13	and	and	CC
cord-290952-tbsccwgx	80	14	impact	impact	NN
cord-290952-tbsccwgx	80	15	of	of	IN
cord-290952-tbsccwgx	80	16	non	non	JJ
cord-290952-tbsccwgx	80	17	-	-	JJ
cord-290952-tbsccwgx	80	18	pharmaceutical	pharmaceutical	JJ
cord-290952-tbsccwgx	80	19	interventions	intervention	NNS
cord-290952-tbsccwgx	80	20	on	on	IN
cord-290952-tbsccwgx	80	21	the	the	DT
cord-290952-tbsccwgx	80	22	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	80	23	in	in	IN
cord-290952-tbsccwgx	80	24	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	80	25	.	.	.
cord-290952-tbsccwgx	81	1	Initially	initially	RB
cord-290952-tbsccwgx	81	2	,	,	,
cord-290952-tbsccwgx	81	3	we	-PRON-	PRP
cord-290952-tbsccwgx	81	4	develop	develop	VBP
cord-290952-tbsccwgx	81	5	the	the	DT
cord-290952-tbsccwgx	81	6	model	model	NN
cord-290952-tbsccwgx	81	7	without	without	IN
cord-290952-tbsccwgx	81	8	optimal	optimal	JJ
cord-290952-tbsccwgx	81	9	control	control	NN
cord-290952-tbsccwgx	81	10	variables	variable	NNS
cord-290952-tbsccwgx	81	11	and	and	CC
cord-290952-tbsccwgx	81	12	provide	provide	VB
cord-290952-tbsccwgx	81	13	a	a	DT
cord-290952-tbsccwgx	81	14	good	good	JJ
cord-290952-tbsccwgx	81	15	fit	fit	NN
cord-290952-tbsccwgx	81	16	to	to	IN
cord-290952-tbsccwgx	81	17	the	the	DT
cord-290952-tbsccwgx	81	18	reported	report	VBN
cord-290952-tbsccwgx	81	19	cases	case	NNS
cord-290952-tbsccwgx	81	20	and	and	CC
cord-290952-tbsccwgx	81	21	then	then	RB
cord-290952-tbsccwgx	81	22	estimate	estimate	VB
cord-290952-tbsccwgx	81	23	the	the	DT
cord-290952-tbsccwgx	81	24	model	model	NN
cord-290952-tbsccwgx	81	25	parameters	parameter	NNS
cord-290952-tbsccwgx	81	26	using	use	VBG
cord-290952-tbsccwgx	81	27	a	a	DT
cord-290952-tbsccwgx	81	28	nonlinear	nonlinear	JJ
cord-290952-tbsccwgx	81	29	least	least	JJS
cord-290952-tbsccwgx	81	30	square	square	JJ
cord-290952-tbsccwgx	81	31	curve	curve	NN
cord-290952-tbsccwgx	81	32	fitting	fitting	NN
cord-290952-tbsccwgx	81	33	approach	approach	NN
cord-290952-tbsccwgx	81	34	.	.	.
cord-290952-tbsccwgx	82	1	Further	further	RB
cord-290952-tbsccwgx	82	2	,	,	,
cord-290952-tbsccwgx	82	3	the	the	DT
cord-290952-tbsccwgx	82	4	model	model	NN
cord-290952-tbsccwgx	82	5	is	be	VBZ
cord-290952-tbsccwgx	82	6	reformulated	reformulate	VBN
cord-290952-tbsccwgx	82	7	by	by	IN
cord-290952-tbsccwgx	82	8	adding	add	VBG
cord-290952-tbsccwgx	82	9	two	two	CD
cord-290952-tbsccwgx	82	10	times	time	NNS
cord-290952-tbsccwgx	82	11	dependent	dependent	JJ
cord-290952-tbsccwgx	82	12	control	control	NN
cord-290952-tbsccwgx	82	13	variables	variable	NNS
cord-290952-tbsccwgx	82	14	.	.	.
cord-290952-tbsccwgx	83	1	The	the	DT
cord-290952-tbsccwgx	83	2	rest	rest	NN
cord-290952-tbsccwgx	83	3	of	of	IN
cord-290952-tbsccwgx	83	4	the	the	DT
cord-290952-tbsccwgx	83	5	manuscript	manuscript	NN
cord-290952-tbsccwgx	83	6	is	be	VBZ
cord-290952-tbsccwgx	83	7	organized	organize	VBN
cord-290952-tbsccwgx	83	8	as	as	IN
cord-290952-tbsccwgx	83	9	:	:	:
cord-290952-tbsccwgx	83	10	The	the	DT
cord-290952-tbsccwgx	83	11	mathematical	mathematical	JJ
cord-290952-tbsccwgx	83	12	formulation	formulation	NN
cord-290952-tbsccwgx	83	13	of	of	IN
cord-290952-tbsccwgx	83	14	the	the	DT
cord-290952-tbsccwgx	83	15	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	83	16	model	model	NN
cord-290952-tbsccwgx	83	17	is	be	VBZ
cord-290952-tbsccwgx	83	18	presented	present	VBN
cord-290952-tbsccwgx	83	19	in	in	IN
cord-290952-tbsccwgx	83	20	section	section	NN
cord-290952-tbsccwgx	83	21	2	2	CD
cord-290952-tbsccwgx	83	22	.	.	.
cord-290952-tbsccwgx	84	1	Basic	basic	JJ
cord-290952-tbsccwgx	84	2	mathematical	mathematical	JJ
cord-290952-tbsccwgx	84	3	analysis	analysis	NN
cord-290952-tbsccwgx	84	4	,	,	,
cord-290952-tbsccwgx	84	5	including	include	VBG
cord-290952-tbsccwgx	84	6	stability	stability	NN
cord-290952-tbsccwgx	84	7	results	result	NNS
cord-290952-tbsccwgx	84	8	of	of	IN
cord-290952-tbsccwgx	84	9	disease	disease	NN
cord-290952-tbsccwgx	84	10	-	-	HYPH
cord-290952-tbsccwgx	84	11	free	free	JJ
cord-290952-tbsccwgx	84	12	equilibrium	equilibrium	NN
cord-290952-tbsccwgx	84	13	is	be	VBZ
cord-290952-tbsccwgx	84	14	explored	explore	VBN
cord-290952-tbsccwgx	84	15	in	in	IN
cord-290952-tbsccwgx	84	16	section	section	NN
cord-290952-tbsccwgx	84	17	3	3	CD
cord-290952-tbsccwgx	84	18	.	.	.
cord-290952-tbsccwgx	85	1	The	the	DT
cord-290952-tbsccwgx	85	2	model	model	NN
cord-290952-tbsccwgx	85	3	fitting	fitting	NN
cord-290952-tbsccwgx	85	4	to	to	IN
cord-290952-tbsccwgx	85	5	reported	report	VBN
cord-290952-tbsccwgx	85	6	cases	case	NNS
cord-290952-tbsccwgx	85	7	and	and	CC
cord-290952-tbsccwgx	85	8	estimation	estimation	NN
cord-290952-tbsccwgx	85	9	of	of	IN
cord-290952-tbsccwgx	85	10	parameters	parameter	NNS
cord-290952-tbsccwgx	85	11	is	be	VBZ
cord-290952-tbsccwgx	85	12	done	do	VBN
cord-290952-tbsccwgx	85	13	in	in	IN
cord-290952-tbsccwgx	85	14	section	section	NN
cord-290952-tbsccwgx	85	15	4	4	CD
cord-290952-tbsccwgx	85	16	.	.	.
cord-290952-tbsccwgx	86	1	The	the	DT
cord-290952-tbsccwgx	86	2	simulation	simulation	NN
cord-290952-tbsccwgx	86	3	results	result	VBZ
cord-290952-tbsccwgx	86	4	of	of	IN
cord-290952-tbsccwgx	86	5	without	without	IN
cord-290952-tbsccwgx	86	6	optimal	optimal	JJ
cord-290952-tbsccwgx	86	7	control	control	NN
cord-290952-tbsccwgx	86	8	model	model	NN
cord-290952-tbsccwgx	86	9	are	be	VBP
cord-290952-tbsccwgx	86	10	shown	show	VBN
cord-290952-tbsccwgx	86	11	in	in	IN
cord-290952-tbsccwgx	86	12	section	section	NN
cord-290952-tbsccwgx	86	13	5	5	CD
cord-290952-tbsccwgx	86	14	.	.	.
cord-290952-tbsccwgx	87	1	The	the	DT
cord-290952-tbsccwgx	87	2	global	global	JJ
cord-290952-tbsccwgx	87	3	sensitivity	sensitivity	NN
cord-290952-tbsccwgx	87	4	analysis	analysis	NN
cord-290952-tbsccwgx	87	5	and	and	CC
cord-290952-tbsccwgx	87	6	its	-PRON-	PRP$
cord-290952-tbsccwgx	87	7	graphical	graphical	JJ
cord-290952-tbsccwgx	87	8	interpretation	interpretation	NN
cord-290952-tbsccwgx	87	9	are	be	VBP
cord-290952-tbsccwgx	87	10	depicted	depict	VBN
cord-290952-tbsccwgx	87	11	in	in	IN
cord-290952-tbsccwgx	87	12	section	section	NN
cord-290952-tbsccwgx	87	13	6	6	CD
cord-290952-tbsccwgx	87	14	.	.	.
cord-290952-tbsccwgx	88	1	The	the	DT
cord-290952-tbsccwgx	88	2	optimal	optimal	JJ
cord-290952-tbsccwgx	88	3	control	control	NN
cord-290952-tbsccwgx	88	4	problem	problem	NN
cord-290952-tbsccwgx	88	5	and	and	CC
cord-290952-tbsccwgx	88	6	its	-PRON-	PRP$
cord-290952-tbsccwgx	88	7	analysis	analysis	NN
cord-290952-tbsccwgx	88	8	of	of	IN
cord-290952-tbsccwgx	88	9	the	the	DT
cord-290952-tbsccwgx	88	10	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	88	11	infection	infection	NN
cord-290952-tbsccwgx	88	12	is	be	VBZ
cord-290952-tbsccwgx	88	13	presented	present	VBN
cord-290952-tbsccwgx	88	14	in	in	IN
cord-290952-tbsccwgx	88	15	7	7	CD
cord-290952-tbsccwgx	88	16	.	.	.
cord-290952-tbsccwgx	89	1	Finally	finally	RB
cord-290952-tbsccwgx	89	2	,	,	,
cord-290952-tbsccwgx	89	3	a	a	DT
cord-290952-tbsccwgx	89	4	brief	brief	JJ
cord-290952-tbsccwgx	89	5	concluding	conclude	VBG
cord-290952-tbsccwgx	89	6	remarks	remark	NNS
cord-290952-tbsccwgx	89	7	are	be	VBP
cord-290952-tbsccwgx	89	8	given	give	VBN
cord-290952-tbsccwgx	89	9	section	section	NN
cord-290952-tbsccwgx	89	10	in	in	IN
cord-290952-tbsccwgx	89	11	8	8	CD
cord-290952-tbsccwgx	89	12	.	.	.
cord-290952-tbsccwgx	90	1	This	this	DT
cord-290952-tbsccwgx	90	2	section	section	NN
cord-290952-tbsccwgx	90	3	presents	present	VBZ
cord-290952-tbsccwgx	90	4	a	a	DT
cord-290952-tbsccwgx	90	5	brief	brief	JJ
cord-290952-tbsccwgx	90	6	description	description	NN
cord-290952-tbsccwgx	90	7	of	of	IN
cord-290952-tbsccwgx	90	8	the	the	DT
cord-290952-tbsccwgx	90	9	proposed	propose	VBN
cord-290952-tbsccwgx	90	10	model	model	NN
cord-290952-tbsccwgx	90	11	to	to	TO
cord-290952-tbsccwgx	90	12	study	study	VB
cord-290952-tbsccwgx	90	13	the	the	DT
cord-290952-tbsccwgx	90	14	dynamics	dynamic	NNS
cord-290952-tbsccwgx	90	15	and	and	CC
cord-290952-tbsccwgx	90	16	possible	possible	JJ
cord-290952-tbsccwgx	90	17	control	control	NN
cord-290952-tbsccwgx	90	18	of	of	IN
cord-290952-tbsccwgx	90	19	the	the	DT
cord-290952-tbsccwgx	90	20	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	90	21	pandemic	pandemic	NN
cord-290952-tbsccwgx	90	22	.	.	.
cord-290952-tbsccwgx	91	1	The	the	DT
cord-290952-tbsccwgx	91	2	model	model	NN
cord-290952-tbsccwgx	91	3	is	be	VBZ
cord-290952-tbsccwgx	91	4	developed	develop	VBN
cord-290952-tbsccwgx	91	5	by	by	IN
cord-290952-tbsccwgx	91	6	dividing	divide	VBG
cord-290952-tbsccwgx	91	7	the	the	DT
cord-290952-tbsccwgx	91	8	whole	whole	JJ
cord-290952-tbsccwgx	91	9	human	human	JJ
cord-290952-tbsccwgx	91	10	population	population	NN
cord-290952-tbsccwgx	91	11	at	at	IN
cord-290952-tbsccwgx	91	12	any	any	DT
cord-290952-tbsccwgx	91	13	time	time	NN
cord-290952-tbsccwgx	91	14	t	t	NN
cord-290952-tbsccwgx	91	15	,	,	,
cord-290952-tbsccwgx	91	16	denoted	denote	VBN
cord-290952-tbsccwgx	91	17	by	by	IN
cord-290952-tbsccwgx	91	18	N	N	NNP
cord-290952-tbsccwgx	91	19	(	(	-LRB-
cord-290952-tbsccwgx	91	20	t	t	NN
cord-290952-tbsccwgx	91	21	)	)	-RRB-
cord-290952-tbsccwgx	91	22	into	into	IN
cord-290952-tbsccwgx	91	23	eight	eight	CD
cord-290952-tbsccwgx	91	24	mutually	mutually	RB
cord-290952-tbsccwgx	91	25	exclusive	exclusive	JJ
cord-290952-tbsccwgx	91	26	sub	sub	NN
cord-290952-tbsccwgx	91	27	-	-	NNS
cord-290952-tbsccwgx	91	28	groups	group	NNS
cord-290952-tbsccwgx	91	29	depending	depend	VBG
cord-290952-tbsccwgx	91	30	on	on	IN
cord-290952-tbsccwgx	91	31	the	the	DT
cord-290952-tbsccwgx	91	32	disease	disease	NN
cord-290952-tbsccwgx	91	33	status	status	NN
cord-290952-tbsccwgx	91	34	.	.	.
cord-290952-tbsccwgx	92	1	These	these	DT
cord-290952-tbsccwgx	92	2	sub	sub	NN
cord-290952-tbsccwgx	92	3	-	-	NNS
cord-290952-tbsccwgx	92	4	groups	group	NNS
cord-290952-tbsccwgx	92	5	are	be	VBP
cord-290952-tbsccwgx	92	6	susceptible	susceptible	JJ
cord-290952-tbsccwgx	92	7	S(t	S(t	NNPS
cord-290952-tbsccwgx	92	8	)	)	-RRB-
cord-290952-tbsccwgx	92	9	,	,	,
cord-290952-tbsccwgx	92	10	exposed	expose	VBN
cord-290952-tbsccwgx	92	11	or	or	CC
cord-290952-tbsccwgx	92	12	latent	latent	JJ
cord-290952-tbsccwgx	92	13	E(t	E(t	NNP
cord-290952-tbsccwgx	92	14	)	)	-RRB-
cord-290952-tbsccwgx	92	15	,	,	,
cord-290952-tbsccwgx	92	16	infected	infect	VBN
cord-290952-tbsccwgx	92	17	with	with	IN
cord-290952-tbsccwgx	92	18	the	the	DT
cord-290952-tbsccwgx	92	19	disease	disease	NN
cord-290952-tbsccwgx	92	20	symptoms	symptom	NNS
cord-290952-tbsccwgx	92	21	(	(	-LRB-
cord-290952-tbsccwgx	92	22	or	or	CC
cord-290952-tbsccwgx	92	23	symptomatically	symptomatically	RB
cord-290952-tbsccwgx	92	24	infectious	infectious	JJ
cord-290952-tbsccwgx	92	25	)	)	-RRB-
cord-290952-tbsccwgx	92	26	I(t	I(t	NNP
cord-290952-tbsccwgx	92	27	)	)	-RRB-
cord-290952-tbsccwgx	92	28	,	,	,
cord-290952-tbsccwgx	92	29	asymptotically	asymptotically	RB
cord-290952-tbsccwgx	92	30	infectious	infectious	JJ
cord-290952-tbsccwgx	92	31	having	have	VBG
cord-290952-tbsccwgx	92	32	no	no	DT
cord-290952-tbsccwgx	92	33	clinical	clinical	JJ
cord-290952-tbsccwgx	92	34	symptoms	symptom	NNS
cord-290952-tbsccwgx	92	35	I	-PRON-	PRP
cord-290952-tbsccwgx	92	36	a	a	VBP
cord-290952-tbsccwgx	92	37	(	(	-LRB-
cord-290952-tbsccwgx	92	38	t	t	NN
cord-290952-tbsccwgx	92	39	)	)	-RRB-
cord-290952-tbsccwgx	92	40	,	,	,
cord-290952-tbsccwgx	92	41	quarantined	quarantine	VBD
cord-290952-tbsccwgx	92	42	Q(t	Q(t	NNP
cord-290952-tbsccwgx	92	43	)	)	-RRB-
cord-290952-tbsccwgx	92	44	,	,	,
cord-290952-tbsccwgx	92	45	hospitalized	hospitalize	VBN
cord-290952-tbsccwgx	92	46	I	-PRON-	PRP
cord-290952-tbsccwgx	92	47	h	h	NN
cord-290952-tbsccwgx	92	48	(	(	-LRB-
cord-290952-tbsccwgx	92	49	t	t	NN
cord-290952-tbsccwgx	92	50	)	)	-RRB-
cord-290952-tbsccwgx	92	51	,	,	,
cord-290952-tbsccwgx	92	52	critically	critically	RB
cord-290952-tbsccwgx	92	53	infected	infected	JJ
cord-290952-tbsccwgx	92	54	(	(	-LRB-
cord-290952-tbsccwgx	92	55	or	or	CC
cord-290952-tbsccwgx	92	56	intensive	intensive	JJ
cord-290952-tbsccwgx	92	57	care	care	NN
cord-290952-tbsccwgx	92	58	)	)	-RRB-
cord-290952-tbsccwgx	92	59	patients	patient	NNS
cord-290952-tbsccwgx	92	60	I	-PRON-	PRP
cord-290952-tbsccwgx	92	61	c	c	NN
cord-290952-tbsccwgx	92	62	(	(	-LRB-
cord-290952-tbsccwgx	92	63	t	t	NNP
cord-290952-tbsccwgx	92	64	)	)	-RRB-
cord-290952-tbsccwgx	92	65	and	and	CC
cord-290952-tbsccwgx	92	66	the	the	DT
cord-290952-tbsccwgx	92	67	recovered	recover	VBN
cord-290952-tbsccwgx	92	68	/	/	SYM
cord-290952-tbsccwgx	92	69	removed	remove	VBD
cord-290952-tbsccwgx	92	70	individuals	individual	NNS
cord-290952-tbsccwgx	92	71	R(t	R(t	NNP
cord-290952-tbsccwgx	92	72	)	)	-RRB-
cord-290952-tbsccwgx	92	73	,	,	,
cord-290952-tbsccwgx	92	74	so	so	IN
cord-290952-tbsccwgx	92	75	that	that	IN
cord-290952-tbsccwgx	92	76	The	the	DT
cord-290952-tbsccwgx	92	77	infected	infected	JJ
cord-290952-tbsccwgx	92	78	individuals	individual	NNS
cord-290952-tbsccwgx	92	79	showing	show	VBG
cord-290952-tbsccwgx	92	80	mild	mild	JJ
cord-290952-tbsccwgx	92	81	symptoms	symptom	NNS
cord-290952-tbsccwgx	92	82	of	of	IN
cord-290952-tbsccwgx	92	83	the	the	DT
cord-290952-tbsccwgx	92	84	disease	disease	NN
cord-290952-tbsccwgx	92	85	are	be	VBP
cord-290952-tbsccwgx	92	86	also	also	RB
cord-290952-tbsccwgx	92	87	placed	place	VBN
cord-290952-tbsccwgx	92	88	in	in	IN
cord-290952-tbsccwgx	92	89	the	the	DT
cord-290952-tbsccwgx	92	90	epidemiological	epidemiological	JJ
cord-290952-tbsccwgx	92	91	class	class	NN
cord-290952-tbsccwgx	93	1	I	-PRON-	PRP
cord-290952-tbsccwgx	93	2	a	a	DT
cord-290952-tbsccwgx	93	3	(	(	-LRB-
cord-290952-tbsccwgx	93	4	t	t	NN
cord-290952-tbsccwgx	93	5	)	)	-RRB-
cord-290952-tbsccwgx	93	6	.	.	.
cord-290952-tbsccwgx	94	1	The	the	DT
cord-290952-tbsccwgx	94	2	quarantine	quarantine	NN
cord-290952-tbsccwgx	94	3	and	and	CC
cord-290952-tbsccwgx	94	4	isolation	isolation	NN
cord-290952-tbsccwgx	94	5	should	should	MD
cord-290952-tbsccwgx	94	6	be	be	VB
cord-290952-tbsccwgx	94	7	either	either	CC
cord-290952-tbsccwgx	94	8	at	at	IN
cord-290952-tbsccwgx	94	9	home	home	NN
cord-290952-tbsccwgx	94	10	or	or	CC
cord-290952-tbsccwgx	94	11	the	the	DT
cord-290952-tbsccwgx	94	12	specific	specific	JJ
cord-290952-tbsccwgx	94	13	centers	center	NNS
cord-290952-tbsccwgx	94	14	or	or	CC
cord-290952-tbsccwgx	94	15	hospitals	hospital	NNS
cord-290952-tbsccwgx	94	16	designated	designate	VBN
cord-290952-tbsccwgx	94	17	by	by	IN
cord-290952-tbsccwgx	94	18	the	the	DT
cord-290952-tbsccwgx	94	19	government	government	NN
cord-290952-tbsccwgx	94	20	.	.	.
cord-290952-tbsccwgx	95	1	Further	further	RB
cord-290952-tbsccwgx	95	2	,	,	,
cord-290952-tbsccwgx	95	3	the	the	DT
cord-290952-tbsccwgx	95	4	group	group	NN
cord-290952-tbsccwgx	95	5	I	-PRON-	PRP
cord-290952-tbsccwgx	95	6	h	h	NN
cord-290952-tbsccwgx	95	7	stand	stand	NN
cord-290952-tbsccwgx	95	8	for	for	IN
cord-290952-tbsccwgx	95	9	the	the	DT
cord-290952-tbsccwgx	95	10	patients	patient	NNS
cord-290952-tbsccwgx	95	11	admitted	admit	VBN
cord-290952-tbsccwgx	95	12	into	into	IN
cord-290952-tbsccwgx	95	13	hospital	hospital	NN
cord-290952-tbsccwgx	95	14	also	also	RB
cord-290952-tbsccwgx	95	15	contains	contain	VBZ
cord-290952-tbsccwgx	95	16	those	those	DT
cord-290952-tbsccwgx	95	17	with	with	IN
cord-290952-tbsccwgx	95	18	clinical	clinical	JJ
cord-290952-tbsccwgx	95	19	symptoms	symptom	NNS
cord-290952-tbsccwgx	95	20	of	of	IN
cord-290952-tbsccwgx	95	21	the	the	DT
cord-290952-tbsccwgx	95	22	disease	disease	NN
cord-290952-tbsccwgx	95	23	who	who	WP
cord-290952-tbsccwgx	95	24	are	be	VBP
cord-290952-tbsccwgx	95	25	self	self	NN
cord-290952-tbsccwgx	95	26	-	-	HYPH
cord-290952-tbsccwgx	95	27	isolating	isolate	VBG
cord-290952-tbsccwgx	95	28	at	at	IN
cord-290952-tbsccwgx	95	29	home	home	NN
cord-290952-tbsccwgx	95	30	.	.	.
cord-290952-tbsccwgx	96	1	We	-PRON-	PRP
cord-290952-tbsccwgx	96	2	further	further	RB
cord-290952-tbsccwgx	96	3	assume	assume	VBP
cord-290952-tbsccwgx	96	4	that	that	IN
cord-290952-tbsccwgx	96	5	hospitalized	hospitalize	VBN
cord-290952-tbsccwgx	96	6	people	people	NNS
cord-290952-tbsccwgx	96	7	may	may	MD
cord-290952-tbsccwgx	96	8	also	also	RB
cord-290952-tbsccwgx	96	9	transmit	transmit	VB
cord-290952-tbsccwgx	96	10	the	the	DT
cord-290952-tbsccwgx	96	11	infection	infection	NN
cord-290952-tbsccwgx	96	12	after	after	IN
cord-290952-tbsccwgx	96	13	interacting	interact	VBG
cord-290952-tbsccwgx	96	14	with	with	IN
cord-290952-tbsccwgx	96	15	susceptible	susceptible	JJ
cord-290952-tbsccwgx	96	16	people	people	NNS
cord-290952-tbsccwgx	96	17	.	.	.
cord-290952-tbsccwgx	97	1	The	the	DT
cord-290952-tbsccwgx	97	2	transmission	transmission	NN
cord-290952-tbsccwgx	97	3	dynamics	dynamic	NNS
cord-290952-tbsccwgx	97	4	of	of	IN
cord-290952-tbsccwgx	97	5	the	the	DT
cord-290952-tbsccwgx	97	6	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	97	7	disease	disease	NN
cord-290952-tbsccwgx	97	8	is	be	VBZ
cord-290952-tbsccwgx	97	9	expressed	express	VBN
cord-290952-tbsccwgx	97	10	through	through	IN
cord-290952-tbsccwgx	97	11	the	the	DT
cord-290952-tbsccwgx	97	12	following	follow	VBG
cord-290952-tbsccwgx	97	13	system	system	NN
cord-290952-tbsccwgx	97	14	of	of	IN
cord-290952-tbsccwgx	97	15	the	the	DT
cord-290952-tbsccwgx	97	16	nonlinear	nonlinear	JJ
cord-290952-tbsccwgx	97	17	differential	differential	JJ
cord-290952-tbsccwgx	97	18	equation	equation	NN
cord-290952-tbsccwgx	97	19	:	:	:
cord-290952-tbsccwgx	97	20	(	(	-LRB-
cord-290952-tbsccwgx	97	21	1	1	LS
cord-290952-tbsccwgx	97	22	)	)	-RRB-
cord-290952-tbsccwgx	98	1	The	the	DT
cord-290952-tbsccwgx	98	2	corresponding	correspond	VBG
cord-290952-tbsccwgx	98	3	initial	initial	JJ
cord-290952-tbsccwgx	98	4	conditions	condition	NNS
cord-290952-tbsccwgx	98	5	are	be	VBP
cord-290952-tbsccwgx	98	6	The	the	DT
cord-290952-tbsccwgx	98	7	birth	birth	NN
cord-290952-tbsccwgx	98	8	rate	rate	NN
cord-290952-tbsccwgx	98	9	is	be	VBZ
cord-290952-tbsccwgx	98	10	denoted	denote	VBN
cord-290952-tbsccwgx	98	11	by	by	IN
cord-290952-tbsccwgx	98	12	Λ	Λ	NNP
cord-290952-tbsccwgx	98	13	and	and	CC
cord-290952-tbsccwgx	98	14	the	the	DT
cord-290952-tbsccwgx	98	15	natural	natural	JJ
cord-290952-tbsccwgx	98	16	mortality	mortality	NN
cord-290952-tbsccwgx	98	17	rate	rate	NN
cord-290952-tbsccwgx	98	18	in	in	IN
cord-290952-tbsccwgx	98	19	all	all	DT
cord-290952-tbsccwgx	98	20	groups	group	NNS
cord-290952-tbsccwgx	98	21	is	be	VBZ
cord-290952-tbsccwgx	98	22	denoted	denote	VBN
cord-290952-tbsccwgx	98	23	by	by	IN
cord-290952-tbsccwgx	98	24	µ.	µ.	NN
cord-290952-tbsccwgx	99	1	The	the	DT
cord-290952-tbsccwgx	99	2	susceptible	susceptible	JJ
cord-290952-tbsccwgx	99	3	people	people	NNS
cord-290952-tbsccwgx	99	4	acquired	acquire	VBD
cord-290952-tbsccwgx	99	5	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	99	6	infection	infection	NN
cord-290952-tbsccwgx	99	7	when	when	WRB
cord-290952-tbsccwgx	99	8	they	-PRON-	PRP
cord-290952-tbsccwgx	99	9	interact	interact	VBP
cord-290952-tbsccwgx	99	10	with	with	IN
cord-290952-tbsccwgx	99	11	the	the	DT
cord-290952-tbsccwgx	99	12	infected	infected	JJ
cord-290952-tbsccwgx	99	13	people	people	NNS
cord-290952-tbsccwgx	99	14	in	in	IN
cord-290952-tbsccwgx	99	15	I	-PRON-	PRP
cord-290952-tbsccwgx	99	16	,	,	,
cord-290952-tbsccwgx	100	1	I	-PRON-	PRP
cord-290952-tbsccwgx	100	2	a	a	VBP
cord-290952-tbsccwgx	100	3	and	and	CC
cord-290952-tbsccwgx	101	1	I	-PRON-	PRP
cord-290952-tbsccwgx	101	2	h	h	NN
cord-290952-tbsccwgx	101	3	compartments	compartment	NNS
cord-290952-tbsccwgx	101	4	.	.	.
cord-290952-tbsccwgx	102	1	The	the	DT
cord-290952-tbsccwgx	102	2	force	force	NN
cord-290952-tbsccwgx	102	3	of	of	IN
cord-290952-tbsccwgx	102	4	infection	infection	NN
cord-290952-tbsccwgx	102	5	is	be	VBZ
cord-290952-tbsccwgx	102	6	where	where	WRB
cord-290952-tbsccwgx	102	7	the	the	DT
cord-290952-tbsccwgx	102	8	parameter	parameter	NN
cord-290952-tbsccwgx	102	9	β	β	XX
cord-290952-tbsccwgx	102	10	shows	show	VBZ
cord-290952-tbsccwgx	102	11	the	the	DT
cord-290952-tbsccwgx	102	12	effective	effective	JJ
cord-290952-tbsccwgx	102	13	contact	contact	NN
cord-290952-tbsccwgx	102	14	rate	rate	NN
cord-290952-tbsccwgx	102	15	,	,	,
cord-290952-tbsccwgx	102	16	i.e.	i.e.	FW
cord-290952-tbsccwgx	102	17	,	,	,
cord-290952-tbsccwgx	102	18	contacts	contact	NNS
cord-290952-tbsccwgx	102	19	capable	capable	JJ
cord-290952-tbsccwgx	102	20	of	of	IN
cord-290952-tbsccwgx	102	21	leading	lead	VBG
cord-290952-tbsccwgx	102	22	to	to	IN
cord-290952-tbsccwgx	102	23	infection	infection	NN
cord-290952-tbsccwgx	102	24	transmission	transmission	NN
cord-290952-tbsccwgx	102	25	and	and	CC
cord-290952-tbsccwgx	102	26	the	the	DT
cord-290952-tbsccwgx	102	27	parameter	parameter	NN
cord-290952-tbsccwgx	102	28	0	0	CD
cord-290952-tbsccwgx	102	29	≤	≤	NN
cord-290952-tbsccwgx	102	30	ψ	ψ	NN
cord-290952-tbsccwgx	102	31	≤	≤	NNP
cord-290952-tbsccwgx	102	32	1	1	CD
cord-290952-tbsccwgx	102	33	accounts	account	NNS
cord-290952-tbsccwgx	102	34	for	for	IN
cord-290952-tbsccwgx	102	35	the	the	DT
cord-290952-tbsccwgx	102	36	assumed	assume	VBN
cord-290952-tbsccwgx	102	37	reduction	reduction	NN
cord-290952-tbsccwgx	102	38	in	in	IN
cord-290952-tbsccwgx	102	39	disease	disease	NN
cord-290952-tbsccwgx	102	40	transmissibility	transmissibility	NN
cord-290952-tbsccwgx	102	41	of	of	IN
cord-290952-tbsccwgx	102	42	asymptomatic	asymptomatic	JJ
cord-290952-tbsccwgx	102	43	infected	infected	JJ
cord-290952-tbsccwgx	102	44	individuals	individual	NNS
cord-290952-tbsccwgx	102	45	in	in	IN
cord-290952-tbsccwgx	102	46	comparison	comparison	NN
cord-290952-tbsccwgx	102	47	to	to	IN
cord-290952-tbsccwgx	102	48	symptomatic	symptomatic	JJ
cord-290952-tbsccwgx	102	49	one	one	CD
cord-290952-tbsccwgx	102	50	.	.	.
cord-290952-tbsccwgx	103	1	Similarly	similarly	RB
cord-290952-tbsccwgx	103	2	,	,	,
cord-290952-tbsccwgx	103	3	ν	ν	NNP
cord-290952-tbsccwgx	103	4	is	be	VBZ
cord-290952-tbsccwgx	103	5	used	use	VBN
cord-290952-tbsccwgx	103	6	for	for	IN
cord-290952-tbsccwgx	103	7	the	the	DT
cord-290952-tbsccwgx	103	8	infectiousness	infectiousness	NN
cord-290952-tbsccwgx	103	9	rate	rate	NN
cord-290952-tbsccwgx	103	10	due	due	IN
cord-290952-tbsccwgx	103	11	to	to	IN
cord-290952-tbsccwgx	103	12	hospitalized	hospitalize	VBN
cord-290952-tbsccwgx	103	13	COVID-19	covid-19	CD
cord-290952-tbsccwgx	103	14	patients	patient	NNS
cord-290952-tbsccwgx	103	15	.	.	.
cord-290952-tbsccwgx	104	1	It	-PRON-	PRP
cord-290952-tbsccwgx	104	2	is	be	VBZ
cord-290952-tbsccwgx	104	3	noticed	notice	VBN
cord-290952-tbsccwgx	104	4	from	from	IN
cord-290952-tbsccwgx	104	5	the	the	DT
cord-290952-tbsccwgx	104	6	transmission	transmission	NN
cord-290952-tbsccwgx	104	7	patron	patron	NN
cord-290952-tbsccwgx	104	8	of	of	IN
cord-290952-tbsccwgx	104	9	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	104	10	that	that	IN
cord-290952-tbsccwgx	104	11	the	the	DT
cord-290952-tbsccwgx	104	12	asymptomatic	asymptomatic	JJ
cord-290952-tbsccwgx	104	13	individuals	individual	NNS
cord-290952-tbsccwgx	104	14	are	be	VBP
cord-290952-tbsccwgx	104	15	comparatively	comparatively	RB
cord-290952-tbsccwgx	104	16	dangerous	dangerous	JJ
cord-290952-tbsccwgx	104	17	relative	relative	NN
cord-290952-tbsccwgx	104	18	to	to	IN
cord-290952-tbsccwgx	104	19	the	the	DT
cord-290952-tbsccwgx	104	20	individuals	individual	NNS
cord-290952-tbsccwgx	104	21	in	in	IN
cord-290952-tbsccwgx	104	22	the	the	DT
cord-290952-tbsccwgx	104	23	I	i	NN
cord-290952-tbsccwgx	104	24	h	h	NN
cord-290952-tbsccwgx	104	25	class	class	NN
cord-290952-tbsccwgx	104	26	because	because	IN
cord-290952-tbsccwgx	104	27	they	-PRON-	PRP
cord-290952-tbsccwgx	104	28	are	be	VBP
cord-290952-tbsccwgx	104	29	not	not	RB
cord-290952-tbsccwgx	104	30	aware	aware	JJ
cord-290952-tbsccwgx	104	31	of	of	IN
cord-290952-tbsccwgx	104	32	the	the	DT
cord-290952-tbsccwgx	104	33	infection	infection	NN
cord-290952-tbsccwgx	104	34	and	and	CC
cord-290952-tbsccwgx	104	35	are	be	VBP
cord-290952-tbsccwgx	104	36	capable	capable	JJ
cord-290952-tbsccwgx	104	37	to	to	TO
cord-290952-tbsccwgx	104	38	transmit	transmit	VB
cord-290952-tbsccwgx	104	39	the	the	DT
cord-290952-tbsccwgx	104	40	infection	infection	NN
cord-290952-tbsccwgx	104	41	.	.	.
cord-290952-tbsccwgx	105	1	The	the	DT
cord-290952-tbsccwgx	105	2	latent	latent	JJ
cord-290952-tbsccwgx	105	3	individuals	individual	NNS
cord-290952-tbsccwgx	105	4	develop	develop	VBP
cord-290952-tbsccwgx	105	5	an	an	DT
cord-290952-tbsccwgx	105	6	infection	infection	NN
cord-290952-tbsccwgx	105	7	after	after	IN
cord-290952-tbsccwgx	105	8	completion	completion	NN
cord-290952-tbsccwgx	105	9	of	of	IN
cord-290952-tbsccwgx	105	10	incubation	incubation	NN
cord-290952-tbsccwgx	105	11	period	period	NN
cord-290952-tbsccwgx	105	12	and	and	CC
cord-290952-tbsccwgx	105	13	become	become	VB
cord-290952-tbsccwgx	105	14	infected	infect	VBN
cord-290952-tbsccwgx	105	15	at	at	IN
cord-290952-tbsccwgx	105	16	the	the	DT
cord-290952-tbsccwgx	105	17	rate	rate	NN
cord-290952-tbsccwgx	105	18	ω	ω	NN
cord-290952-tbsccwgx	105	19	and	and	CC
cord-290952-tbsccwgx	105	20	a	a	DT
cord-290952-tbsccwgx	105	21	fraction	fraction	NN
cord-290952-tbsccwgx	105	22	denoted	denote	VBN
cord-290952-tbsccwgx	105	23	by	by	IN
cord-290952-tbsccwgx	105	24	ρ	ρ	NNP
cord-290952-tbsccwgx	105	25	enters	enter	VBZ
cord-290952-tbsccwgx	105	26	to	to	IN
cord-290952-tbsccwgx	105	27	the	the	DT
cord-290952-tbsccwgx	105	28	symptomatic	symptomatic	JJ
cord-290952-tbsccwgx	105	29	class	class	NN
cord-290952-tbsccwgx	105	30	after	after	IN
cord-290952-tbsccwgx	105	31	showing	show	VBG
cord-290952-tbsccwgx	105	32	disease	disease	NN
cord-290952-tbsccwgx	105	33	symptoms	symptom	NNS
cord-290952-tbsccwgx	105	34	and	and	CC
cord-290952-tbsccwgx	105	35	the	the	DT
cord-290952-tbsccwgx	105	36	remanding	remanding	NN
cord-290952-tbsccwgx	105	37	with	with	IN
cord-290952-tbsccwgx	105	38	no	no	DT
cord-290952-tbsccwgx	105	39	(	(	-LRB-
cord-290952-tbsccwgx	105	40	or	or	CC
cord-290952-tbsccwgx	105	41	mild	mild	JJ
cord-290952-tbsccwgx	105	42	)	)	-RRB-
cord-290952-tbsccwgx	105	43	symptoms	symptom	NNS
cord-290952-tbsccwgx	105	44	join	join	VBP
cord-290952-tbsccwgx	105	45	the	the	DT
cord-290952-tbsccwgx	105	46	asymptomatic	asymptomatic	JJ
cord-290952-tbsccwgx	105	47	compartment	compartment	NN
cord-290952-tbsccwgx	106	1	I	-PRON-	PRP
cord-290952-tbsccwgx	106	2	a	a	DT
cord-290952-tbsccwgx	106	3	(	(	-LRB-
cord-290952-tbsccwgx	106	4	t	t	NN
cord-290952-tbsccwgx	106	5	)	)	-RRB-
cord-290952-tbsccwgx	106	6	.	.	.
cord-290952-tbsccwgx	107	1	The	the	DT
cord-290952-tbsccwgx	107	2	exposed	expose	VBN
cord-290952-tbsccwgx	107	3	individuals	individual	NNS
cord-290952-tbsccwgx	107	4	who	who	WP
cord-290952-tbsccwgx	107	5	have	have	VBP
cord-290952-tbsccwgx	107	6	interaction	interaction	NN
cord-290952-tbsccwgx	107	7	with	with	IN
cord-290952-tbsccwgx	107	8	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	107	9	infected	infected	JJ
cord-290952-tbsccwgx	107	10	patients	patient	NNS
cord-290952-tbsccwgx	107	11	are	be	VBP
cord-290952-tbsccwgx	107	12	detected	detect	VBN
cord-290952-tbsccwgx	107	13	(	(	-LRB-
cord-290952-tbsccwgx	107	14	via	via	IN
cord-290952-tbsccwgx	107	15	contact	contact	NN
cord-290952-tbsccwgx	107	16	-	-	HYPH
cord-290952-tbsccwgx	107	17	tracing	tracing	NN
cord-290952-tbsccwgx	107	18	)	)	-RRB-
cord-290952-tbsccwgx	107	19	and	and	CC
cord-290952-tbsccwgx	107	20	placed	place	VBN
cord-290952-tbsccwgx	107	21	in	in	IN
cord-290952-tbsccwgx	107	22	quarantine	quarantine	NN
cord-290952-tbsccwgx	107	23	at	at	IN
cord-290952-tbsccwgx	107	24	the	the	DT
cord-290952-tbsccwgx	107	25	rate	rate	NN
cord-290952-tbsccwgx	107	26	κ	κ	NN
cord-290952-tbsccwgx	107	27	which	which	WDT
cord-290952-tbsccwgx	107	28	further	further	RB
cord-290952-tbsccwgx	107	29	moves	move	NNS
cord-290952-tbsccwgx	107	30	to	to	IN
cord-290952-tbsccwgx	107	31	hospitalized	hospitalize	VBN
cord-290952-tbsccwgx	107	32	class	class	NN
cord-290952-tbsccwgx	107	33	if	if	IN
cord-290952-tbsccwgx	107	34	they	-PRON-	PRP
cord-290952-tbsccwgx	107	35	are	be	VBP
cord-290952-tbsccwgx	107	36	tested	test	VBN
cord-290952-tbsccwgx	107	37	positive	positive	JJ
cord-290952-tbsccwgx	107	38	with	with	IN
cord-290952-tbsccwgx	107	39	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	107	40	infection	infection	NN
cord-290952-tbsccwgx	107	41	.	.	.
cord-290952-tbsccwgx	108	1	The	the	DT
cord-290952-tbsccwgx	108	2	symptomatically	symptomatically	RB
cord-290952-tbsccwgx	108	3	-	-	HYPH
cord-290952-tbsccwgx	108	4	infectious	infectious	JJ
cord-290952-tbsccwgx	108	5	people	people	NNS
cord-290952-tbsccwgx	108	6	are	be	VBP
cord-290952-tbsccwgx	108	7	hospitalized	hospitalize	VBN
cord-290952-tbsccwgx	108	8	at	at	IN
cord-290952-tbsccwgx	108	9	the	the	DT
cord-290952-tbsccwgx	108	10	rate	rate	NN
cord-290952-tbsccwgx	108	11	η	η	NN
cord-290952-tbsccwgx	108	12	which	which	WDT
cord-290952-tbsccwgx	108	13	further	further	RB
cord-290952-tbsccwgx	108	14	moves	move	VBZ
cord-290952-tbsccwgx	108	15	to	to	IN
cord-290952-tbsccwgx	108	16	critically	critically	RB
cord-290952-tbsccwgx	108	17	-	-	HYPH
cord-290952-tbsccwgx	108	18	infected	infect	VBN
cord-290952-tbsccwgx	108	19	class	class	NN
cord-290952-tbsccwgx	109	1	I	-PRON-	PRP
cord-290952-tbsccwgx	109	2	c	c	NNP
cord-290952-tbsccwgx	109	3	at	at	IN
cord-290952-tbsccwgx	109	4	the	the	DT
cord-290952-tbsccwgx	109	5	rate	rate	NN
cord-290952-tbsccwgx	110	1	φ	φ	NFP
cord-290952-tbsccwgx	110	2	if	if	IN
cord-290952-tbsccwgx	110	3	they	-PRON-	PRP
cord-290952-tbsccwgx	110	4	are	be	VBP
cord-290952-tbsccwgx	110	5	serious	serious	JJ
cord-290952-tbsccwgx	110	6	and	and	CC
cord-290952-tbsccwgx	110	7	need	need	VBP
cord-290952-tbsccwgx	110	8	critical	critical	JJ
cord-290952-tbsccwgx	110	9	care	care	NN
cord-290952-tbsccwgx	110	10	.	.	.
cord-290952-tbsccwgx	111	1	The	the	DT
cord-290952-tbsccwgx	111	2	parameters	parameter	NNS
cord-290952-tbsccwgx	111	3	ζ	ζ	IN
cord-290952-tbsccwgx	111	4	1	1	CD
cord-290952-tbsccwgx	111	5	and	and	CC
cord-290952-tbsccwgx	111	6	ζ	ζ	NN
cord-290952-tbsccwgx	111	7	2	2	CD
cord-290952-tbsccwgx	111	8	represent	represent	VBP
cord-290952-tbsccwgx	111	9	the	the	DT
cord-290952-tbsccwgx	111	10	recovery	recovery	NN
cord-290952-tbsccwgx	111	11	rates	rate	NNS
cord-290952-tbsccwgx	111	12	in	in	IN
cord-290952-tbsccwgx	111	13	I	I	NNP
cord-290952-tbsccwgx	111	14	and	and	CC
cord-290952-tbsccwgx	111	15	I	-PRON-	PRP
cord-290952-tbsccwgx	111	16	a	a	DT
cord-290952-tbsccwgx	111	17	groups	group	NNS
cord-290952-tbsccwgx	111	18	respectively	respectively	RB
cord-290952-tbsccwgx	111	19	.	.	.
cord-290952-tbsccwgx	112	1	Further	further	RB
cord-290952-tbsccwgx	112	2	,	,	,
cord-290952-tbsccwgx	112	3	the	the	DT
cord-290952-tbsccwgx	112	4	recovery	recovery	NN
cord-290952-tbsccwgx	112	5	rates	rate	NNS
cord-290952-tbsccwgx	112	6	of	of	IN
cord-290952-tbsccwgx	112	7	quarantined	quarantine	VBN
cord-290952-tbsccwgx	112	8	,	,	,
cord-290952-tbsccwgx	112	9	hospitalized	hospitalize	VBN
cord-290952-tbsccwgx	112	10	and	and	CC
cord-290952-tbsccwgx	112	11	critically	critically	RB
cord-290952-tbsccwgx	112	12	infected	infected	JJ
cord-290952-tbsccwgx	112	13	classes	class	NNS
cord-290952-tbsccwgx	112	14	are	be	VBP
cord-290952-tbsccwgx	112	15	shown	show	VBN
cord-290952-tbsccwgx	112	16	by	by	IN
cord-290952-tbsccwgx	112	17	φ	φ	NNP
cord-290952-tbsccwgx	112	18	1	1	CD
cord-290952-tbsccwgx	112	19	,	,	,
cord-290952-tbsccwgx	112	20	φ	φ	NN
cord-290952-tbsccwgx	112	21	2	2	CD
cord-290952-tbsccwgx	112	22	and	and	CC
cord-290952-tbsccwgx	112	23	φ	φ	NN
cord-290952-tbsccwgx	112	24	3	3	CD
cord-290952-tbsccwgx	112	25	respectively	respectively	RB
cord-290952-tbsccwgx	112	26	.	.	.
cord-290952-tbsccwgx	113	1	Finally	finally	RB
cord-290952-tbsccwgx	113	2	,	,	,
cord-290952-tbsccwgx	113	3	the	the	DT
cord-290952-tbsccwgx	113	4	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	113	5	induced	induce	VBN
cord-290952-tbsccwgx	113	6	mortality	mortality	NN
cord-290952-tbsccwgx	113	7	for	for	IN
cord-290952-tbsccwgx	113	8	individuals	individual	NNS
cord-290952-tbsccwgx	113	9	in	in	IN
cord-290952-tbsccwgx	113	10	the	the	DT
cord-290952-tbsccwgx	113	11	I	i	NN
cord-290952-tbsccwgx	113	12	,	,	,
cord-290952-tbsccwgx	113	13	I	-PRON-	PRP
cord-290952-tbsccwgx	113	14	h	h	NNP
cord-290952-tbsccwgx	113	15	and	and	CC
cord-290952-tbsccwgx	113	16	I	i	NN
cord-290952-tbsccwgx	113	17	c	c	NN
cord-290952-tbsccwgx	113	18	classes	class	NNS
cord-290952-tbsccwgx	113	19	are	be	VBP
cord-290952-tbsccwgx	113	20	respectively	respectively	RB
cord-290952-tbsccwgx	113	21	shown	show	VBN
cord-290952-tbsccwgx	113	22	by	by	IN
cord-290952-tbsccwgx	113	23	ξ	ξ	NNP
cord-290952-tbsccwgx	113	24	1	1	CD
cord-290952-tbsccwgx	113	25	,	,	,
cord-290952-tbsccwgx	113	26	ξ	ξ	NN
cord-290952-tbsccwgx	113	27	2	2	CD
cord-290952-tbsccwgx	113	28	and	and	CC
cord-290952-tbsccwgx	113	29	ξ	ξ	VBZ
cord-290952-tbsccwgx	113	30	3	3	CD
cord-290952-tbsccwgx	113	31	.	.	.
cord-290952-tbsccwgx	114	1	For	for	IN
cord-290952-tbsccwgx	114	2	simplicity	simplicity	NN
cord-290952-tbsccwgx	114	3	,	,	,
cord-290952-tbsccwgx	114	4	let	let	VB
cord-290952-tbsccwgx	114	5	us	-PRON-	PRP
cord-290952-tbsccwgx	114	6	denote	denote	VB
cord-290952-tbsccwgx	115	1	Then	then	RB
cord-290952-tbsccwgx	115	2	,	,	,
cord-290952-tbsccwgx	115	3	the	the	DT
cord-290952-tbsccwgx	115	4	above	above	JJ
cord-290952-tbsccwgx	115	5	model	model	NN
cord-290952-tbsccwgx	115	6	(	(	-LRB-
cord-290952-tbsccwgx	115	7	1	1	CD
cord-290952-tbsccwgx	115	8	)	)	-RRB-
cord-290952-tbsccwgx	115	9	can	can	MD
cord-290952-tbsccwgx	115	10	be	be	VB
cord-290952-tbsccwgx	115	11	written	write	VBN
cord-290952-tbsccwgx	115	12	as	as	IN
cord-290952-tbsccwgx	115	13	We	-PRON-	PRP
cord-290952-tbsccwgx	115	14	present	present	VBP
cord-290952-tbsccwgx	115	15	some	some	DT
cord-290952-tbsccwgx	115	16	basic	basic	JJ
cord-290952-tbsccwgx	115	17	and	and	CC
cord-290952-tbsccwgx	115	18	necessary	necessary	JJ
cord-290952-tbsccwgx	115	19	analytical	analytical	JJ
cord-290952-tbsccwgx	115	20	results	result	NNS
cord-290952-tbsccwgx	115	21	of	of	IN
cord-290952-tbsccwgx	115	22	the	the	DT
cord-290952-tbsccwgx	115	23	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	115	24	model	model	NN
cord-290952-tbsccwgx	115	25	(	(	-LRB-
cord-290952-tbsccwgx	115	26	3	3	CD
cord-290952-tbsccwgx	115	27	)	)	-RRB-
cord-290952-tbsccwgx	115	28	 	 	_SP
cord-290952-tbsccwgx	115	29	Lemma	Lemma	NNP
cord-290952-tbsccwgx	115	30	1	1	CD
cord-290952-tbsccwgx	115	31	.	.	.
cord-290952-tbsccwgx	116	1	Let	let	VB
cord-290952-tbsccwgx	116	2	P(0	p(0	CD
cord-290952-tbsccwgx	116	3	)	)	-RRB-
cord-290952-tbsccwgx	117	1	≥	≥	NN
cord-290952-tbsccwgx	117	2	0	0	NFP
cord-290952-tbsccwgx	117	3	denotes	denote	VBZ
cord-290952-tbsccwgx	117	4	the	the	DT
cord-290952-tbsccwgx	117	5	initial	initial	JJ
cord-290952-tbsccwgx	117	6	data	datum	NNS
cord-290952-tbsccwgx	117	7	and	and	CC
cord-290952-tbsccwgx	117	8	P(t	P(t	NNS
cord-290952-tbsccwgx	117	9	)	)	-RRB-
cord-290952-tbsccwgx	117	10	=	=	NFP
cord-290952-tbsccwgx	118	1	(	(	-LRB-
cord-290952-tbsccwgx	118	2	S	S	NNP
cord-290952-tbsccwgx	118	3	,	,	,
cord-290952-tbsccwgx	118	4	E	E	NNP
cord-290952-tbsccwgx	118	5	,	,	,
cord-290952-tbsccwgx	118	6	I	-PRON-	PRP
cord-290952-tbsccwgx	118	7	,	,	,
cord-290952-tbsccwgx	118	8	I	-PRON-	PRP
cord-290952-tbsccwgx	118	9	a	a	DT
cord-290952-tbsccwgx	119	1	,	,	,
cord-290952-tbsccwgx	119	2	Q	Q	NNP
cord-290952-tbsccwgx	119	3	,	,	,
cord-290952-tbsccwgx	119	4	I	-PRON-	PRP
cord-290952-tbsccwgx	119	5	h	h	NNP
cord-290952-tbsccwgx	119	6	,	,	,
cord-290952-tbsccwgx	119	7	I	I	NNP
cord-290952-tbsccwgx	119	8	c	c	NNP
cord-290952-tbsccwgx	119	9	,	,	,
cord-290952-tbsccwgx	119	10	R	R	NNP
cord-290952-tbsccwgx	119	11	)	)	-RRB-
cord-290952-tbsccwgx	119	12	are	be	VBP
cord-290952-tbsccwgx	119	13	the	the	DT
cord-290952-tbsccwgx	119	14	model	model	NN
cord-290952-tbsccwgx	119	15	variables	variable	NNS
cord-290952-tbsccwgx	119	16	,	,	,
cord-290952-tbsccwgx	119	17	then	then	RB
cord-290952-tbsccwgx	119	18	all	all	DT
cord-290952-tbsccwgx	119	19	solutions	solution	NNS
cord-290952-tbsccwgx	119	20	of	of	IN
cord-290952-tbsccwgx	119	21	the	the	DT
cord-290952-tbsccwgx	119	22	model	model	NN
cord-290952-tbsccwgx	119	23	(	(	-LRB-
cord-290952-tbsccwgx	119	24	3	3	LS
cord-290952-tbsccwgx	119	25	)	)	-RRB-
cord-290952-tbsccwgx	119	26	will	will	MD
cord-290952-tbsccwgx	119	27	be	be	VB
cord-290952-tbsccwgx	119	28	non	non	JJ
cord-290952-tbsccwgx	119	29	-	-	JJ
cord-290952-tbsccwgx	119	30	negative	negative	JJ
cord-290952-tbsccwgx	119	31	for	for	IN
cord-290952-tbsccwgx	119	32	all	all	DT
cord-290952-tbsccwgx	119	33	t	t	NN
cord-290952-tbsccwgx	119	34	>	>	XX
cord-290952-tbsccwgx	119	35	0	0	NFP
cord-290952-tbsccwgx	119	36	.	.	.
cord-290952-tbsccwgx	120	1	(	(	-LRB-
cord-290952-tbsccwgx	120	2	3	3	LS
cord-290952-tbsccwgx	120	3	)	)	-RRB-
cord-290952-tbsccwgx	120	4	:	:	:
cord-290952-tbsccwgx	120	5	It	-PRON-	PRP
cord-290952-tbsccwgx	120	6	can	can	MD
cord-290952-tbsccwgx	120	7	be	be	VB
cord-290952-tbsccwgx	120	8	further	further	RB
cord-290952-tbsccwgx	120	9	written	write	VBN
cord-290952-tbsccwgx	120	10	as	as	IN
cord-290952-tbsccwgx	120	11	Hence	Hence	NNP
cord-290952-tbsccwgx	120	12	,	,	,
cord-290952-tbsccwgx	120	13	The	the	DT
cord-290952-tbsccwgx	120	14	solution	solution	NN
cord-290952-tbsccwgx	120	15	of	of	IN
cord-290952-tbsccwgx	120	16	(	(	-LRB-
cord-290952-tbsccwgx	120	17	5	5	CD
cord-290952-tbsccwgx	120	18	)	)	-RRB-
cord-290952-tbsccwgx	120	19	can	can	MD
cord-290952-tbsccwgx	120	20	found	find	VBN
cord-290952-tbsccwgx	120	21	as	as	IN
cord-290952-tbsccwgx	120	22	below	below	IN
cord-290952-tbsccwgx	120	23	Following	follow	VBG
cord-290952-tbsccwgx	120	24	a	a	DT
cord-290952-tbsccwgx	120	25	similar	similar	JJ
cord-290952-tbsccwgx	120	26	procedure	procedure	NN
cord-290952-tbsccwgx	120	27	,	,	,
cord-290952-tbsccwgx	120	28	it	-PRON-	PRP
cord-290952-tbsccwgx	120	29	can	can	MD
cord-290952-tbsccwgx	120	30	be	be	VB
cord-290952-tbsccwgx	120	31	shown	show	VBN
cord-290952-tbsccwgx	120	32	that	that	IN
cord-290952-tbsccwgx	120	33	P(t	p(t	NN
cord-290952-tbsccwgx	120	34	)	)	-RRB-
cord-290952-tbsccwgx	121	1	>	>	XX
cord-290952-tbsccwgx	122	1	0	0	NFP
cord-290952-tbsccwgx	123	1	,	,	,
cord-290952-tbsccwgx	123	2	∀	∀	NN
cord-290952-tbsccwgx	123	3	t	t	NN
cord-290952-tbsccwgx	123	4	>	>	XX
cord-290952-tbsccwgx	123	5	0	0	CD
cord-290952-tbsccwgx	123	6	.	.	.
cord-290952-tbsccwgx	124	1	In	in	IN
cord-290952-tbsccwgx	124	2	order	order	NN
cord-290952-tbsccwgx	124	3	to	to	TO
cord-290952-tbsccwgx	124	4	prove	prove	VB
cord-290952-tbsccwgx	124	5	the	the	DT
cord-290952-tbsccwgx	124	6	second	second	JJ
cord-290952-tbsccwgx	124	7	part	part	NN
cord-290952-tbsccwgx	124	8	we	-PRON-	PRP
cord-290952-tbsccwgx	124	9	have	have	VBP
cord-290952-tbsccwgx	124	10	0	0	CD
cord-290952-tbsccwgx	124	11	<	<	XX
cord-290952-tbsccwgx	124	12	P(0	P(0	-RRB-
cord-290952-tbsccwgx	124	13	)	)	-RRB-
cord-290952-tbsccwgx	124	14	≤	≤	NNP
cord-290952-tbsccwgx	124	15	N	N	NNP
cord-290952-tbsccwgx	124	16	(	(	-LRB-
cord-290952-tbsccwgx	124	17	t	t	NNP
cord-290952-tbsccwgx	124	18	)	)	-RRB-
cord-290952-tbsccwgx	124	19	,	,	,
cord-290952-tbsccwgx	124	20	and	and	CC
cord-290952-tbsccwgx	124	21	then	then	RB
cord-290952-tbsccwgx	124	22	the	the	DT
cord-290952-tbsccwgx	124	23	addition	addition	NN
cord-290952-tbsccwgx	124	24	of	of	IN
cord-290952-tbsccwgx	124	25	all	all	DT
cord-290952-tbsccwgx	124	26	equations	equation	NNS
cord-290952-tbsccwgx	124	27	of	of	IN
cord-290952-tbsccwgx	124	28	the	the	DT
cord-290952-tbsccwgx	124	29	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	124	30	model	model	NN
cord-290952-tbsccwgx	124	31	(	(	-LRB-
cord-290952-tbsccwgx	124	32	3	3	LS
cord-290952-tbsccwgx	124	33	)	)	-RRB-
cord-290952-tbsccwgx	124	34	we	-PRON-	PRP
cord-290952-tbsccwgx	124	35	have	have	VBP
cord-290952-tbsccwgx	124	36	The	the	DT
cord-290952-tbsccwgx	124	37	dynamics	dynamic	NNS
cord-290952-tbsccwgx	124	38	of	of	IN
cord-290952-tbsccwgx	124	39	the	the	DT
cord-290952-tbsccwgx	124	40	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	124	41	mathematical	mathematical	JJ
cord-290952-tbsccwgx	124	42	model	model	NN
cord-290952-tbsccwgx	124	43	(	(	-LRB-
cord-290952-tbsccwgx	124	44	3	3	CD
cord-290952-tbsccwgx	124	45	)	)	-RRB-
cord-290952-tbsccwgx	124	46	will	will	MD
cord-290952-tbsccwgx	124	47	be	be	VB
cord-290952-tbsccwgx	124	48	studied	study	VBN
cord-290952-tbsccwgx	124	49	in	in	IN
cord-290952-tbsccwgx	124	50	the	the	DT
cord-290952-tbsccwgx	124	51	following	follow	VBG
cord-290952-tbsccwgx	124	52	closed	closed	JJ
cord-290952-tbsccwgx	124	53	and	and	CC
cord-290952-tbsccwgx	124	54	biologically	biologically	RB
cord-290952-tbsccwgx	124	55	feasible	feasible	JJ
cord-290952-tbsccwgx	124	56	region	region	NN
cord-290952-tbsccwgx	124	57	.	.	.
cord-290952-tbsccwgx	125	1	The	the	DT
cord-290952-tbsccwgx	125	2	region	region	NN
cord-290952-tbsccwgx	125	3	defined	define	VBN
cord-290952-tbsccwgx	125	4	in	in	IN
cord-290952-tbsccwgx	125	5	the	the	DT
cord-290952-tbsccwgx	125	6	closed	closed	JJ
cord-290952-tbsccwgx	125	7	set	set	VBN
cord-290952-tbsccwgx	125	8	∆	∆	NN
cord-290952-tbsccwgx	125	9	⊂	⊂	NN
cord-290952-tbsccwgx	125	10	R	R	NNP
cord-290952-tbsccwgx	125	11	8	8	CD
cord-290952-tbsccwgx	125	12	+	+	CC
cord-290952-tbsccwgx	125	13	,	,	,
cord-290952-tbsccwgx	125	14	is	be	VBZ
cord-290952-tbsccwgx	125	15	positively	positively	RB
cord-290952-tbsccwgx	125	16	invariant	invariant	JJ
cord-290952-tbsccwgx	125	17	for	for	IN
cord-290952-tbsccwgx	125	18	the	the	DT
cord-290952-tbsccwgx	125	19	model	model	NN
cord-290952-tbsccwgx	125	20	(	(	-LRB-
cord-290952-tbsccwgx	125	21	3	3	LS
cord-290952-tbsccwgx	125	22	)	)	-RRB-
cord-290952-tbsccwgx	125	23	with	with	IN
cord-290952-tbsccwgx	125	24	non	non	JJ
cord-290952-tbsccwgx	125	25	-	-	JJ
cord-290952-tbsccwgx	125	26	negative	negative	JJ
cord-290952-tbsccwgx	125	27	initial	initial	JJ
cord-290952-tbsccwgx	125	28	conditions	condition	NNS
cord-290952-tbsccwgx	125	29	in	in	IN
cord-290952-tbsccwgx	125	30	R	R	NNP
cord-290952-tbsccwgx	125	31	8	8	CD
cord-290952-tbsccwgx	125	32	+	+	SYM
cord-290952-tbsccwgx	125	33	.	.	.
cord-290952-tbsccwgx	126	1	Proof	proof	NN
cord-290952-tbsccwgx	126	2	.	.	.
cord-290952-tbsccwgx	127	1	As	as	IN
cord-290952-tbsccwgx	127	2	in	in	IN
cord-290952-tbsccwgx	127	3	Lemma	Lemma	NNP
cord-290952-tbsccwgx	127	4	1	1	CD
cord-290952-tbsccwgx	127	5	,	,	,
cord-290952-tbsccwgx	127	6	it	-PRON-	PRP
cord-290952-tbsccwgx	127	7	follows	follow	VBZ
cord-290952-tbsccwgx	127	8	from	from	IN
cord-290952-tbsccwgx	127	9	the	the	DT
cord-290952-tbsccwgx	127	10	summation	summation	NN
cord-290952-tbsccwgx	127	11	of	of	IN
cord-290952-tbsccwgx	127	12	all	all	DT
cord-290952-tbsccwgx	127	13	equation	equation	NN
cord-290952-tbsccwgx	127	14	of	of	IN
cord-290952-tbsccwgx	127	15	the	the	DT
cord-290952-tbsccwgx	127	16	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	127	17	model	model	NN
cord-290952-tbsccwgx	127	18	(	(	-LRB-
cord-290952-tbsccwgx	127	19	3	3	CD
cord-290952-tbsccwgx	127	20	)	)	-RRB-
cord-290952-tbsccwgx	127	21	,	,	,
cord-290952-tbsccwgx	127	22	It	-PRON-	PRP
cord-290952-tbsccwgx	127	23	is	be	VBZ
cord-290952-tbsccwgx	127	24	clear	clear	JJ
cord-290952-tbsccwgx	127	25	that	that	IN
cord-290952-tbsccwgx	127	26	The	the	DT
cord-290952-tbsccwgx	127	27	solution	solution	NN
cord-290952-tbsccwgx	127	28	of	of	IN
cord-290952-tbsccwgx	127	29	and	and	CC
cord-290952-tbsccwgx	127	30	(	(	-LRB-
cord-290952-tbsccwgx	127	31	6	6	LS
cord-290952-tbsccwgx	127	32	)	)	-RRB-
cord-290952-tbsccwgx	127	33	is	be	VBZ
cord-290952-tbsccwgx	127	34	given	give	VBN
cord-290952-tbsccwgx	127	35	in	in	IN
cord-290952-tbsccwgx	127	36	the	the	DT
cord-290952-tbsccwgx	127	37	following	following	JJ
cord-290952-tbsccwgx	127	38	inequality	inequality	NN
cord-290952-tbsccwgx	127	39	,	,	,
cord-290952-tbsccwgx	127	40	In	in	IN
cord-290952-tbsccwgx	127	41	particular	particular	JJ
cord-290952-tbsccwgx	127	42	,	,	,
cord-290952-tbsccwgx	127	43	N	N	NNP
cord-290952-tbsccwgx	127	44	(	(	-LRB-
cord-290952-tbsccwgx	127	45	t	t	NN
cord-290952-tbsccwgx	127	46	)	)	-RRB-
cord-290952-tbsccwgx	127	47	≤	≤	NNP
cord-290952-tbsccwgx	127	48	Λ/µ	λ/µ	XX
cord-290952-tbsccwgx	127	49	,	,	,
cord-290952-tbsccwgx	127	50	if	if	IN
cord-290952-tbsccwgx	127	51	N	N	NNP
cord-290952-tbsccwgx	127	52	(	(	-LRB-
cord-290952-tbsccwgx	127	53	0	0	NFP
cord-290952-tbsccwgx	127	54	)	)	-RRB-
cord-290952-tbsccwgx	127	55	≤	≤	NN
cord-290952-tbsccwgx	127	56	Λ/µ.	λ/µ.	CD
cord-290952-tbsccwgx	128	1	Therefore	therefore	RB
cord-290952-tbsccwgx	128	2	,	,	,
cord-290952-tbsccwgx	128	3	the	the	DT
cord-290952-tbsccwgx	128	4	region	region	NN
cord-290952-tbsccwgx	128	5	∆	∆	NN
cord-290952-tbsccwgx	128	6	is	be	VBZ
cord-290952-tbsccwgx	128	7	positively	positively	RB
cord-290952-tbsccwgx	128	8	invariant	invariant	JJ
cord-290952-tbsccwgx	128	9	as	as	IN
cord-290952-tbsccwgx	128	10	will	will	MD
cord-290952-tbsccwgx	128	11	as	as	RB
cord-290952-tbsccwgx	128	12	attracts	attract	VBZ
cord-290952-tbsccwgx	128	13	all	all	PDT
cord-290952-tbsccwgx	128	14	the	the	DT
cord-290952-tbsccwgx	128	15	possible	possible	JJ
cord-290952-tbsccwgx	128	16	solution	solution	NN
cord-290952-tbsccwgx	128	17	trajectories	trajectory	NNS
cord-290952-tbsccwgx	128	18	in	in	IN
cord-290952-tbsccwgx	128	19	R	R	NNP
cord-290952-tbsccwgx	128	20	8	8	CD
cord-290952-tbsccwgx	129	1	+	+	UH
cord-290952-tbsccwgx	129	2	.	.	.
cord-290952-tbsccwgx	130	1	The	the	DT
cord-290952-tbsccwgx	130	2	propose	propose	NN
cord-290952-tbsccwgx	130	3	model	model	NN
cord-290952-tbsccwgx	130	4	(	(	-LRB-
cord-290952-tbsccwgx	130	5	3	3	LS
cord-290952-tbsccwgx	130	6	)	)	-RRB-
cord-290952-tbsccwgx	130	7	has	have	VBZ
cord-290952-tbsccwgx	130	8	a	a	DT
cord-290952-tbsccwgx	130	9	disease	disease	NN
cord-290952-tbsccwgx	130	10	free	free	JJ
cord-290952-tbsccwgx	130	11	equilibrium	equilibrium	NN
cord-290952-tbsccwgx	130	12	(	(	-LRB-
cord-290952-tbsccwgx	130	13	DF	DF	NNP
cord-290952-tbsccwgx	130	14	E	E	NNP
cord-290952-tbsccwgx	130	15	)	)	-RRB-
cord-290952-tbsccwgx	130	16	,	,	,
cord-290952-tbsccwgx	130	17	given	give	VBN
cord-290952-tbsccwgx	130	18	by	by	IN
cord-290952-tbsccwgx	130	19	Next	Next	NNP
cord-290952-tbsccwgx	130	20	,	,	,
cord-290952-tbsccwgx	130	21	we	-PRON-	PRP
cord-290952-tbsccwgx	130	22	investigate	investigate	VBP
cord-290952-tbsccwgx	130	23	the	the	DT
cord-290952-tbsccwgx	130	24	most	most	RBS
cord-290952-tbsccwgx	130	25	important	important	JJ
cord-290952-tbsccwgx	130	26	and	and	CC
cord-290952-tbsccwgx	130	27	crucial	crucial	JJ
cord-290952-tbsccwgx	130	28	threshold	threshold	NN
cord-290952-tbsccwgx	130	29	quantity	quantity	NN
cord-290952-tbsccwgx	130	30	known	know	VBN
cord-290952-tbsccwgx	130	31	as	as	IN
cord-290952-tbsccwgx	130	32	the	the	DT
cord-290952-tbsccwgx	130	33	basic	basic	JJ
cord-290952-tbsccwgx	130	34	reproduction	reproduction	NN
cord-290952-tbsccwgx	130	35	number	number	NN
cord-290952-tbsccwgx	130	36	and	and	CC
cord-290952-tbsccwgx	130	37	generally	generally	RB
cord-290952-tbsccwgx	130	38	denoted	denote	VBN
cord-290952-tbsccwgx	130	39	by	by	IN
cord-290952-tbsccwgx	130	40	R	r	NN
cord-290952-tbsccwgx	130	41	0	0	CD
cord-290952-tbsccwgx	130	42	.	.	.
cord-290952-tbsccwgx	131	1	This	this	DT
cord-290952-tbsccwgx	131	2	parameter	parameter	NN
cord-290952-tbsccwgx	131	3	measures	measure	VBZ
cord-290952-tbsccwgx	131	4	the	the	DT
cord-290952-tbsccwgx	131	5	average	average	JJ
cord-290952-tbsccwgx	131	6	number	number	NN
cord-290952-tbsccwgx	131	7	of	of	IN
cord-290952-tbsccwgx	131	8	new	new	JJ
cord-290952-tbsccwgx	131	9	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	131	10	infected	infected	JJ
cord-290952-tbsccwgx	131	11	cases	case	NNS
cord-290952-tbsccwgx	131	12	generated	generate	VBN
cord-290952-tbsccwgx	131	13	by	by	IN
cord-290952-tbsccwgx	131	14	a	a	DT
cord-290952-tbsccwgx	131	15	typical	typical	JJ
cord-290952-tbsccwgx	131	16	infected	infect	VBN
cord-290952-tbsccwgx	131	17	individual	individual	NN
cord-290952-tbsccwgx	131	18	when	when	WRB
cord-290952-tbsccwgx	131	19	introduced	introduce	VBN
cord-290952-tbsccwgx	131	20	into	into	IN
cord-290952-tbsccwgx	131	21	a	a	DT
cord-290952-tbsccwgx	131	22	completely	completely	RB
cord-290952-tbsccwgx	131	23	susceptible	susceptible	JJ
cord-290952-tbsccwgx	131	24	population	population	NN
cord-290952-tbsccwgx	131	25	.	.	.
cord-290952-tbsccwgx	132	1	The	the	DT
cord-290952-tbsccwgx	132	2	most	most	RBS
cord-290952-tbsccwgx	132	3	common	common	JJ
cord-290952-tbsccwgx	132	4	approach	approach	NN
cord-290952-tbsccwgx	132	5	used	use	VBN
cord-290952-tbsccwgx	132	6	to	to	TO
cord-290952-tbsccwgx	132	7	obtain	obtain	VB
cord-290952-tbsccwgx	132	8	R	r	NN
cord-290952-tbsccwgx	132	9	0	0	CD
cord-290952-tbsccwgx	132	10	is	be	VBZ
cord-290952-tbsccwgx	132	11	the	the	DT
cord-290952-tbsccwgx	132	12	next	next	JJ
cord-290952-tbsccwgx	132	13	-	-	HYPH
cord-290952-tbsccwgx	132	14	generation	generation	NN
cord-290952-tbsccwgx	132	15	method	method	NN
cord-290952-tbsccwgx	132	16	presented	present	VBN
cord-290952-tbsccwgx	132	17	in	in	IN
cord-290952-tbsccwgx	132	18	[	[	-LRB-
cord-290952-tbsccwgx	132	19	16	16	CD
cord-290952-tbsccwgx	132	20	]	]	-RRB-
cord-290952-tbsccwgx	132	21	.	.	.
cord-290952-tbsccwgx	133	1	The	the	DT
cord-290952-tbsccwgx	133	2	next	next	JJ
cord-290952-tbsccwgx	133	3	generation	generation	NN
cord-290952-tbsccwgx	133	4	matrices	matrix	NNS
cord-290952-tbsccwgx	133	5	obtained	obtain	VBN
cord-290952-tbsccwgx	133	6	from	from	IN
cord-290952-tbsccwgx	133	7	the	the	DT
cord-290952-tbsccwgx	133	8	model	model	NN
cord-290952-tbsccwgx	133	9	(	(	-LRB-
cord-290952-tbsccwgx	133	10	3	3	LS
cord-290952-tbsccwgx	133	11	)	)	-RRB-
cord-290952-tbsccwgx	133	12	are	be	VBP
cord-290952-tbsccwgx	133	13	given	give	VBN
cord-290952-tbsccwgx	133	14	as	as	IN
cord-290952-tbsccwgx	133	15	follows	follow	VBZ
cord-290952-tbsccwgx	133	16	:	:	:
cord-290952-tbsccwgx	134	1	The	the	DT
cord-290952-tbsccwgx	134	2	corresponding	correspond	VBG
cord-290952-tbsccwgx	134	3	Jacobian	jacobian	JJ
cord-290952-tbsccwgx	134	4	matrices	matrix	NNS
cord-290952-tbsccwgx	134	5	F	F	NNP
cord-290952-tbsccwgx	134	6	and	and	CC
cord-290952-tbsccwgx	134	7	V	V	NNP
cord-290952-tbsccwgx	134	8	evaluated	evaluate	VBD
cord-290952-tbsccwgx	134	9	at	at	IN
cord-290952-tbsccwgx	134	10	DF	DF	NNP
cord-290952-tbsccwgx	134	11	E	E	NNP
cord-290952-tbsccwgx	134	12	is	be	VBZ
cord-290952-tbsccwgx	134	13	given	give	VBN
cord-290952-tbsccwgx	134	14	as	as	IN
cord-290952-tbsccwgx	134	15	below	below	RB
cord-290952-tbsccwgx	134	16	:	:	:
cord-290952-tbsccwgx	135	1	Hence	hence	RB
cord-290952-tbsccwgx	135	2	,	,	,
cord-290952-tbsccwgx	135	3	utilizing	utilize	VBG
cord-290952-tbsccwgx	135	4	the	the	DT
cord-290952-tbsccwgx	135	5	definition	definition	NN
cord-290952-tbsccwgx	135	6	R	r	NN
cord-290952-tbsccwgx	135	7	0	0	CD
cord-290952-tbsccwgx	135	8	=	=	SYM
cord-290952-tbsccwgx	135	9	ρ(F	ρ(F	NNP
cord-290952-tbsccwgx	135	10	V	V	NNP
cord-290952-tbsccwgx	135	11	−1	−1	NNP
cord-290952-tbsccwgx	135	12	)	)	-RRB-
cord-290952-tbsccwgx	135	13	(	(	-LRB-
cord-290952-tbsccwgx	135	14	where	where	WRB
cord-290952-tbsccwgx	135	15	ρ	ρ	NNP
cord-290952-tbsccwgx	135	16	(	(	-LRB-
cord-290952-tbsccwgx	135	17	.	.	.
cord-290952-tbsccwgx	135	18	)	)	-RRB-
cord-290952-tbsccwgx	135	19	represents	represent	VBZ
cord-290952-tbsccwgx	135	20	the	the	DT
cord-290952-tbsccwgx	135	21	spectral	spectral	JJ
cord-290952-tbsccwgx	135	22	radius	radius	NN
cord-290952-tbsccwgx	135	23	)	)	-RRB-
cord-290952-tbsccwgx	135	24	,	,	,
cord-290952-tbsccwgx	135	25	we	-PRON-	PRP
cord-290952-tbsccwgx	135	26	derived	derive	VBD
cord-290952-tbsccwgx	135	27	the	the	DT
cord-290952-tbsccwgx	135	28	following	following	JJ
cord-290952-tbsccwgx	135	29	expression	expression	NN
cord-290952-tbsccwgx	135	30	for	for	IN
cord-290952-tbsccwgx	135	31	the	the	DT
cord-290952-tbsccwgx	135	32	basic	basic	JJ
cord-290952-tbsccwgx	135	33	reproduction	reproduction	NN
cord-290952-tbsccwgx	135	34	number	number	NN
cord-290952-tbsccwgx	135	35	:	:	:
cord-290952-tbsccwgx	135	36	Interpretation	interpretation	NN
cord-290952-tbsccwgx	135	37	of	of	IN
cord-290952-tbsccwgx	135	38	R	r	NN
cord-290952-tbsccwgx	135	39	0	0	CD
cord-290952-tbsccwgx	136	1	In	in	IN
cord-290952-tbsccwgx	136	2	order	order	NN
cord-290952-tbsccwgx	136	3	to	to	TO
cord-290952-tbsccwgx	136	4	interpret	interpret	VB
cord-290952-tbsccwgx	136	5	the	the	DT
cord-290952-tbsccwgx	136	6	basic	basic	JJ
cord-290952-tbsccwgx	136	7	reproductive	reproductive	JJ
cord-290952-tbsccwgx	136	8	quantity	quantity	NN
cord-290952-tbsccwgx	136	9	we	-PRON-	PRP
cord-290952-tbsccwgx	136	10	split	split	VBD
cord-290952-tbsccwgx	136	11	the	the	DT
cord-290952-tbsccwgx	136	12	expression	expression	NN
cord-290952-tbsccwgx	136	13	for	for	IN
cord-290952-tbsccwgx	136	14	R	r	NN
cord-290952-tbsccwgx	136	15	0	0	CD
cord-290952-tbsccwgx	136	16	as	as	IN
cord-290952-tbsccwgx	136	17	follows	follow	VBZ
cord-290952-tbsccwgx	136	18	:	:	:
cord-290952-tbsccwgx	136	19	where	where	WRB
cord-290952-tbsccwgx	136	20	,	,	,
cord-290952-tbsccwgx	136	21	The	the	DT
cord-290952-tbsccwgx	136	22	first	first	JJ
cord-290952-tbsccwgx	136	23	term	term	NN
cord-290952-tbsccwgx	136	24	R	r	NN
cord-290952-tbsccwgx	136	25	0i	0i	CD
cord-290952-tbsccwgx	136	26	in	in	IN
cord-290952-tbsccwgx	136	27	(	(	-LRB-
cord-290952-tbsccwgx	136	28	7	7	CD
cord-290952-tbsccwgx	136	29	)	)	-RRB-
cord-290952-tbsccwgx	136	30	shows	show	VBZ
cord-290952-tbsccwgx	136	31	the	the	DT
cord-290952-tbsccwgx	136	32	average	average	JJ
cord-290952-tbsccwgx	136	33	number	number	NN
cord-290952-tbsccwgx	136	34	of	of	IN
cord-290952-tbsccwgx	136	35	new	new	JJ
cord-290952-tbsccwgx	136	36	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	136	37	infections	infection	NNS
cord-290952-tbsccwgx	136	38	generated	generate	VBN
cord-290952-tbsccwgx	136	39	by	by	IN
cord-290952-tbsccwgx	136	40	symptomatically	symptomatically	RB
cord-290952-tbsccwgx	136	41	-	-	HYPH
cord-290952-tbsccwgx	136	42	infectious	infectious	JJ
cord-290952-tbsccwgx	136	43	individuals	individual	NNS
cord-290952-tbsccwgx	136	44	in	in	IN
cord-290952-tbsccwgx	136	45	the	the	DT
cord-290952-tbsccwgx	136	46	I	I	NNP
cord-290952-tbsccwgx	136	47	class	class	NN
cord-290952-tbsccwgx	136	48	.	.	.
cord-290952-tbsccwgx	137	1	This	this	DT
cord-290952-tbsccwgx	137	2	term	term	NN
cord-290952-tbsccwgx	137	3	contains	contain	VBZ
cord-290952-tbsccwgx	137	4	the	the	DT
cord-290952-tbsccwgx	137	5	product	product	NN
cord-290952-tbsccwgx	137	6	of	of	IN
cord-290952-tbsccwgx	137	7	the	the	DT
cord-290952-tbsccwgx	137	8	infection	infection	NN
cord-290952-tbsccwgx	137	9	rate	rate	NN
cord-290952-tbsccwgx	137	10	in	in	IN
cord-290952-tbsccwgx	137	11	the	the	DT
cord-290952-tbsccwgx	137	12	I	I	NNP
cord-290952-tbsccwgx	137	13	class	class	NN
cord-290952-tbsccwgx	137	14	(	(	-LRB-
cord-290952-tbsccwgx	137	15	the	the	DT
cord-290952-tbsccwgx	137	16	disease	disease	NN
cord-290952-tbsccwgx	137	17	transmission	transmission	NN
cord-290952-tbsccwgx	137	18	rate	rate	NN
cord-290952-tbsccwgx	137	19	)	)	-RRB-
cord-290952-tbsccwgx	137	20	,	,	.
cord-290952-tbsccwgx	138	1	β	β	NNP
cord-290952-tbsccwgx	138	2	,	,	,
cord-290952-tbsccwgx	138	3	the	the	DT
cord-290952-tbsccwgx	138	4	fraction	fraction	NN
cord-290952-tbsccwgx	138	5	of	of	IN
cord-290952-tbsccwgx	138	6	exposed	expose	VBN
cord-290952-tbsccwgx	138	7	people	people	NNS
cord-290952-tbsccwgx	138	8	that	that	WDT
cord-290952-tbsccwgx	138	9	completed	complete	VBD
cord-290952-tbsccwgx	138	10	the	the	DT
cord-290952-tbsccwgx	138	11	incubation	incubation	NN
cord-290952-tbsccwgx	138	12	period	period	NN
cord-290952-tbsccwgx	138	13	and	and	CC
cord-290952-tbsccwgx	138	14	move	move	VB
cord-290952-tbsccwgx	138	15	to	to	IN
cord-290952-tbsccwgx	138	16	the	the	DT
cord-290952-tbsccwgx	138	17	symptomatic	symptomatic	JJ
cord-290952-tbsccwgx	138	18	stage	stage	NN
cord-290952-tbsccwgx	138	19	(	(	-LRB-
cord-290952-tbsccwgx	138	20	ρω	ρω	RB
cord-290952-tbsccwgx	138	21	k	k	NNP
cord-290952-tbsccwgx	138	22	1	1	CD
cord-290952-tbsccwgx	138	23	)	)	-RRB-
cord-290952-tbsccwgx	138	24	and	and	CC
cord-290952-tbsccwgx	138	25	the	the	DT
cord-290952-tbsccwgx	138	26	average	average	JJ
cord-290952-tbsccwgx	138	27	period	period	NN
cord-290952-tbsccwgx	138	28	spend	spend	VBP
cord-290952-tbsccwgx	138	29	in	in	IN
cord-290952-tbsccwgx	138	30	the	the	DT
cord-290952-tbsccwgx	138	31	I	I	NNP
cord-290952-tbsccwgx	138	32	compartment	compartment	NN
cord-290952-tbsccwgx	138	33	(	(	-LRB-
cord-290952-tbsccwgx	138	34	1	1	CD
cord-290952-tbsccwgx	138	35	k	k	NN
cord-290952-tbsccwgx	138	36	2	2	CD
cord-290952-tbsccwgx	138	37	)	)	-RRB-
cord-290952-tbsccwgx	138	38	.	.	.
cord-290952-tbsccwgx	139	1	The	the	DT
cord-290952-tbsccwgx	139	2	second	second	JJ
cord-290952-tbsccwgx	139	3	constituent	constituent	JJ
cord-290952-tbsccwgx	139	4	reproduction	reproduction	NN
cord-290952-tbsccwgx	139	5	number	number	NN
cord-290952-tbsccwgx	139	6	R	R	NNP
cord-290952-tbsccwgx	139	7	0a	0a	NN
cord-290952-tbsccwgx	139	8	represents	represent	VBZ
cord-290952-tbsccwgx	139	9	the	the	DT
cord-290952-tbsccwgx	139	10	number	number	NN
cord-290952-tbsccwgx	139	11	of	of	IN
cord-290952-tbsccwgx	139	12	new	new	JJ
cord-290952-tbsccwgx	139	13	COVID-19	covid-19	CD
cord-290952-tbsccwgx	139	14	infection	infection	NN
cord-290952-tbsccwgx	139	15	cases	case	NNS
cord-290952-tbsccwgx	139	16	generated	generate	VBN
cord-290952-tbsccwgx	139	17	by	by	IN
cord-290952-tbsccwgx	139	18	asymptomatically	asymptomatically	RB
cord-290952-tbsccwgx	139	19	-	-	HYPH
cord-290952-tbsccwgx	139	20	infectious	infectious	JJ
cord-290952-tbsccwgx	139	21	individuals	individual	NNS
cord-290952-tbsccwgx	139	22	in	in	IN
cord-290952-tbsccwgx	139	23	class	class	NN
cord-290952-tbsccwgx	139	24	I	-PRON-	PRP
cord-290952-tbsccwgx	139	25	a	a	NN
cord-290952-tbsccwgx	139	26	.	.	.
cord-290952-tbsccwgx	140	1	It	-PRON-	PRP
cord-290952-tbsccwgx	140	2	is	be	VBZ
cord-290952-tbsccwgx	140	3	the	the	DT
cord-290952-tbsccwgx	140	4	product	product	NN
cord-290952-tbsccwgx	140	5	of	of	IN
cord-290952-tbsccwgx	140	6	infectious	infectious	JJ
cord-290952-tbsccwgx	140	7	rate	rate	NN
cord-290952-tbsccwgx	140	8	due	due	IN
cord-290952-tbsccwgx	140	9	to	to	IN
cord-290952-tbsccwgx	140	10	asymptomatic	asymptomatic	JJ
cord-290952-tbsccwgx	140	11	COIVD-19	coivd-19	JJ
cord-290952-tbsccwgx	140	12	individuals	individual	NNS
cord-290952-tbsccwgx	140	13	(	(	-LRB-
cord-290952-tbsccwgx	140	14	βψ	βψ	IN
cord-290952-tbsccwgx	140	15	)	)	-RRB-
cord-290952-tbsccwgx	140	16	,	,	,
cord-290952-tbsccwgx	140	17	the	the	DT
cord-290952-tbsccwgx	140	18	fraction	fraction	NN
cord-290952-tbsccwgx	140	19	of	of	IN
cord-290952-tbsccwgx	140	20	latent	latent	JJ
cord-290952-tbsccwgx	140	21	people	people	NNS
cord-290952-tbsccwgx	140	22	that	that	WDT
cord-290952-tbsccwgx	140	23	completed	complete	VBD
cord-290952-tbsccwgx	140	24	the	the	DT
cord-290952-tbsccwgx	140	25	incubation	incubation	NN
cord-290952-tbsccwgx	140	26	period	period	NN
cord-290952-tbsccwgx	140	27	and	and	CC
cord-290952-tbsccwgx	140	28	move	move	VB
cord-290952-tbsccwgx	140	29	to	to	IN
cord-290952-tbsccwgx	140	30	the	the	DT
cord-290952-tbsccwgx	140	31	asymptomatic	asymptomatic	JJ
cord-290952-tbsccwgx	140	32	stage	stage	NN
cord-290952-tbsccwgx	140	33	(	(	-LRB-
cord-290952-tbsccwgx	140	34	ρ(1−ω	ρ(1−ω	''
cord-290952-tbsccwgx	140	35	)	)	-RRB-
cord-290952-tbsccwgx	141	1	k	k	NNP
cord-290952-tbsccwgx	141	2	1	1	CD
cord-290952-tbsccwgx	141	3	)	)	-RRB-
cord-290952-tbsccwgx	141	4	and	and	CC
cord-290952-tbsccwgx	141	5	the	the	DT
cord-290952-tbsccwgx	141	6	average	average	JJ
cord-290952-tbsccwgx	141	7	period	period	NN
cord-290952-tbsccwgx	141	8	spent	spend	VBN
cord-290952-tbsccwgx	141	9	in	in	IN
cord-290952-tbsccwgx	141	10	the	the	DT
cord-290952-tbsccwgx	141	11	asymptomatic	asymptomatic	JJ
cord-290952-tbsccwgx	141	12	class	class	NN
cord-290952-tbsccwgx	141	13	(	(	-LRB-
cord-290952-tbsccwgx	141	14	1	1	CD
cord-290952-tbsccwgx	141	15	k	k	NN
cord-290952-tbsccwgx	141	16	3	3	CD
cord-290952-tbsccwgx	141	17	)	)	-RRB-
cord-290952-tbsccwgx	141	18	.	.	.
cord-290952-tbsccwgx	142	1	Similarly	similarly	RB
cord-290952-tbsccwgx	142	2	,	,	,
cord-290952-tbsccwgx	142	3	the	the	DT
cord-290952-tbsccwgx	142	4	third	third	JJ
cord-290952-tbsccwgx	142	5	constituent	constituent	JJ
cord-290952-tbsccwgx	142	6	reproduction	reproduction	NN
cord-290952-tbsccwgx	142	7	number	number	NN
cord-290952-tbsccwgx	142	8	R	R	NNP
cord-290952-tbsccwgx	142	9	0h	0h	NNP
cord-290952-tbsccwgx	142	10	expresses	express	VBZ
cord-290952-tbsccwgx	142	11	the	the	DT
cord-290952-tbsccwgx	142	12	new	new	JJ
cord-290952-tbsccwgx	142	13	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	142	14	infection	infection	NN
cord-290952-tbsccwgx	142	15	cases	case	NNS
cord-290952-tbsccwgx	142	16	generated	generate	VBN
cord-290952-tbsccwgx	142	17	by	by	IN
cord-290952-tbsccwgx	142	18	hospitalized	hospitalize	VBN
cord-290952-tbsccwgx	142	19	/	/	SYM
cord-290952-tbsccwgx	142	20	isolated	isolate	VBN
cord-290952-tbsccwgx	142	21	individuals	individual	NNS
cord-290952-tbsccwgx	142	22	.	.	.
cord-290952-tbsccwgx	143	1	In	in	IN
cord-290952-tbsccwgx	143	2	particular	particular	JJ
cord-290952-tbsccwgx	143	3	,	,	,
cord-290952-tbsccwgx	143	4	the	the	DT
cord-290952-tbsccwgx	143	5	first	first	JJ
cord-290952-tbsccwgx	143	6	term	term	NN
cord-290952-tbsccwgx	143	7	in	in	IN
cord-290952-tbsccwgx	143	8	R	r	NN
cord-290952-tbsccwgx	143	9	0h	0h	CD
cord-290952-tbsccwgx	143	10	represents	represent	VBZ
cord-290952-tbsccwgx	143	11	the	the	DT
cord-290952-tbsccwgx	143	12	contribution	contribution	NN
cord-290952-tbsccwgx	143	13	into	into	IN
cord-290952-tbsccwgx	143	14	the	the	DT
cord-290952-tbsccwgx	143	15	hospitalized	hospitalize	VBN
cord-290952-tbsccwgx	143	16	class	class	NN
cord-290952-tbsccwgx	143	17	by	by	IN
cord-290952-tbsccwgx	143	18	symptomatic	symptomatic	JJ
cord-290952-tbsccwgx	143	19	infectious	infectious	JJ
cord-290952-tbsccwgx	143	20	individuals	individual	NNS
cord-290952-tbsccwgx	143	21	(	(	-LRB-
cord-290952-tbsccwgx	143	22	in	in	IN
cord-290952-tbsccwgx	143	23	class	class	NN
cord-290952-tbsccwgx	143	24	I	i	NN
cord-290952-tbsccwgx	143	25	)	)	-RRB-
cord-290952-tbsccwgx	143	26	.	.	.
cord-290952-tbsccwgx	144	1	It	-PRON-	PRP
cord-290952-tbsccwgx	144	2	is	be	VBZ
cord-290952-tbsccwgx	144	3	the	the	DT
cord-290952-tbsccwgx	144	4	product	product	NN
cord-290952-tbsccwgx	144	5	of	of	IN
cord-290952-tbsccwgx	144	6	infectious	infectious	JJ
cord-290952-tbsccwgx	144	7	rate	rate	NN
cord-290952-tbsccwgx	144	8	due	due	IN
cord-290952-tbsccwgx	144	9	to	to	IN
cord-290952-tbsccwgx	144	10	hospitalized	hospitalize	VBN
cord-290952-tbsccwgx	144	11	individuals	individual	NNS
cord-290952-tbsccwgx	144	12	(	(	-LRB-
cord-290952-tbsccwgx	144	13	βν	βν	RB
cord-290952-tbsccwgx	144	14	)	)	-RRB-
cord-290952-tbsccwgx	144	15	,	,	,
cord-290952-tbsccwgx	144	16	the	the	DT
cord-290952-tbsccwgx	144	17	fraction	fraction	NN
cord-290952-tbsccwgx	144	18	of	of	IN
cord-290952-tbsccwgx	144	19	latent	latent	JJ
cord-290952-tbsccwgx	144	20	individuals	individual	NNS
cord-290952-tbsccwgx	144	21	that	that	WDT
cord-290952-tbsccwgx	144	22	completed	complete	VBD
cord-290952-tbsccwgx	144	23	the	the	DT
cord-290952-tbsccwgx	144	24	incubation	incubation	NN
cord-290952-tbsccwgx	144	25	period	period	NN
cord-290952-tbsccwgx	144	26	and	and	CC
cord-290952-tbsccwgx	144	27	move	move	VB
cord-290952-tbsccwgx	144	28	to	to	IN
cord-290952-tbsccwgx	144	29	the	the	DT
cord-290952-tbsccwgx	144	30	asymptomatic	asymptomatic	JJ
cord-290952-tbsccwgx	144	31	stage	stage	NN
cord-290952-tbsccwgx	144	32	(	(	-LRB-
cord-290952-tbsccwgx	144	33	ρ(1−ω	ρ(1−ω	''
cord-290952-tbsccwgx	144	34	)	)	-RRB-
cord-290952-tbsccwgx	145	1	k	k	NNP
cord-290952-tbsccwgx	145	2	1	1	CD
cord-290952-tbsccwgx	145	3	)	)	-RRB-
cord-290952-tbsccwgx	145	4	,	,	,
cord-290952-tbsccwgx	145	5	the	the	DT
cord-290952-tbsccwgx	145	6	portion	portion	NN
cord-290952-tbsccwgx	145	7	of	of	IN
cord-290952-tbsccwgx	145	8	individuals	individual	NNS
cord-290952-tbsccwgx	145	9	that	that	WDT
cord-290952-tbsccwgx	145	10	left	leave	VBD
cord-290952-tbsccwgx	145	11	the	the	DT
cord-290952-tbsccwgx	145	12	symptomatic	symptomatic	JJ
cord-290952-tbsccwgx	145	13	class	class	NN
cord-290952-tbsccwgx	145	14	I	i	NN
cord-290952-tbsccwgx	145	15	and	and	CC
cord-290952-tbsccwgx	145	16	move	move	VB
cord-290952-tbsccwgx	145	17	to	to	IN
cord-290952-tbsccwgx	145	18	the	the	DT
cord-290952-tbsccwgx	145	19	hospitalized	hospitalize	VBN
cord-290952-tbsccwgx	145	20	class	class	NN
cord-290952-tbsccwgx	146	1	I	-PRON-	PRP
cord-290952-tbsccwgx	146	2	h	h	NN
cord-290952-tbsccwgx	146	3	(	(	-LRB-
cord-290952-tbsccwgx	146	4	η	η	NN
cord-290952-tbsccwgx	146	5	k	k	NNP
cord-290952-tbsccwgx	146	6	2	2	CD
cord-290952-tbsccwgx	146	7	)	)	-RRB-
cord-290952-tbsccwgx	146	8	,	,	,
cord-290952-tbsccwgx	146	9	and	and	CC
cord-290952-tbsccwgx	146	10	the	the	DT
cord-290952-tbsccwgx	146	11	average	average	JJ
cord-290952-tbsccwgx	146	12	duration	duration	NN
cord-290952-tbsccwgx	146	13	in	in	IN
cord-290952-tbsccwgx	146	14	the	the	DT
cord-290952-tbsccwgx	146	15	hospitalized	hospitalize	VBN
cord-290952-tbsccwgx	146	16	class	class	NN
cord-290952-tbsccwgx	146	17	(	(	-LRB-
cord-290952-tbsccwgx	146	18	1	1	CD
cord-290952-tbsccwgx	146	19	k	k	NN
cord-290952-tbsccwgx	146	20	5	5	CD
cord-290952-tbsccwgx	146	21	)	)	-RRB-
cord-290952-tbsccwgx	146	22	.	.	.
cord-290952-tbsccwgx	147	1	Finally	finally	RB
cord-290952-tbsccwgx	147	2	,	,	,
cord-290952-tbsccwgx	147	3	the	the	DT
cord-290952-tbsccwgx	147	4	second	second	JJ
cord-290952-tbsccwgx	147	5	term	term	NN
cord-290952-tbsccwgx	147	6	in	in	IN
cord-290952-tbsccwgx	147	7	R	r	NN
cord-290952-tbsccwgx	147	8	0h	0h	CD
cord-290952-tbsccwgx	147	9	expresses	express	VBZ
cord-290952-tbsccwgx	147	10	the	the	DT
cord-290952-tbsccwgx	147	11	contribution	contribution	NN
cord-290952-tbsccwgx	147	12	of	of	IN
cord-290952-tbsccwgx	147	13	quarantined	quarantine	VBN
cord-290952-tbsccwgx	147	14	individuals	individual	NNS
cord-290952-tbsccwgx	147	15	into	into	IN
cord-290952-tbsccwgx	147	16	the	the	DT
cord-290952-tbsccwgx	147	17	hospitalized	hospitalize	VBN
cord-290952-tbsccwgx	147	18	class	class	NN
cord-290952-tbsccwgx	147	19	.	.	.
cord-290952-tbsccwgx	148	1	In	in	IN
cord-290952-tbsccwgx	148	2	this	this	DT
cord-290952-tbsccwgx	148	3	part	part	NN
cord-290952-tbsccwgx	148	4	,	,	,
cord-290952-tbsccwgx	148	5	we	-PRON-	PRP
cord-290952-tbsccwgx	148	6	will	will	MD
cord-290952-tbsccwgx	148	7	prove	prove	VB
cord-290952-tbsccwgx	148	8	the	the	DT
cord-290952-tbsccwgx	148	9	local	local	JJ
cord-290952-tbsccwgx	148	10	and	and	CC
cord-290952-tbsccwgx	148	11	global	global	JJ
cord-290952-tbsccwgx	148	12	stability	stability	NN
cord-290952-tbsccwgx	148	13	of	of	IN
cord-290952-tbsccwgx	148	14	the	the	DT
cord-290952-tbsccwgx	148	15	model	model	NN
cord-290952-tbsccwgx	148	16	around	around	IN
cord-290952-tbsccwgx	148	17	the	the	DT
cord-290952-tbsccwgx	148	18	DF	DF	NNP
cord-290952-tbsccwgx	148	19	E.	E.	NNP
cord-290952-tbsccwgx	149	1	The	the	DT
cord-290952-tbsccwgx	149	2	epidemiological	epidemiological	JJ
cord-290952-tbsccwgx	149	3	implication	implication	NN
cord-290952-tbsccwgx	149	4	of	of	IN
cord-290952-tbsccwgx	149	5	the	the	DT
cord-290952-tbsccwgx	149	6	stability	stability	NN
cord-290952-tbsccwgx	149	7	result	result	NN
cord-290952-tbsccwgx	149	8	of	of	IN
cord-290952-tbsccwgx	149	9	DF	DF	NNP
cord-290952-tbsccwgx	149	10	E	e	NN
cord-290952-tbsccwgx	149	11	case	case	NN
cord-290952-tbsccwgx	149	12	is	be	VBZ
cord-290952-tbsccwgx	149	13	that	that	IN
cord-290952-tbsccwgx	149	14	a	a	DT
cord-290952-tbsccwgx	149	15	small	small	JJ
cord-290952-tbsccwgx	149	16	influx	influx	NN
cord-290952-tbsccwgx	149	17	of	of	IN
cord-290952-tbsccwgx	149	18	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	149	19	infections	infection	NNS
cord-290952-tbsccwgx	149	20	cases	case	NNS
cord-290952-tbsccwgx	149	21	will	will	MD
cord-290952-tbsccwgx	149	22	not	not	RB
cord-290952-tbsccwgx	149	23	generate	generate	VB
cord-290952-tbsccwgx	149	24	a	a	DT
cord-290952-tbsccwgx	149	25	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	149	26	outbreak	outbreak	NN
cord-290952-tbsccwgx	149	27	if	if	IN
cord-290952-tbsccwgx	149	28	R	r	NN
cord-290952-tbsccwgx	149	29	0	0	CD
cord-290952-tbsccwgx	149	30	<	<	XX
cord-290952-tbsccwgx	149	31	1	1	CD
cord-290952-tbsccwgx	149	32	.	.	.
cord-290952-tbsccwgx	150	1	(	(	-LRB-
cord-290952-tbsccwgx	150	2	3	3	LS
cord-290952-tbsccwgx	150	3	)	)	-RRB-
cord-290952-tbsccwgx	150	4	is	be	VBZ
cord-290952-tbsccwgx	150	5	locally	locally	RB
cord-290952-tbsccwgx	150	6	asymptotically	asymptotically	RB
cord-290952-tbsccwgx	150	7	stable	stable	JJ
cord-290952-tbsccwgx	150	8	if	if	IN
cord-290952-tbsccwgx	150	9	R	r	NN
cord-290952-tbsccwgx	150	10	0	0	CD
cord-290952-tbsccwgx	150	11	<	<	XX
cord-290952-tbsccwgx	150	12	1	1	CD
cord-290952-tbsccwgx	150	13	and	and	CC
cord-290952-tbsccwgx	150	14	unstable	unstable	JJ
cord-290952-tbsccwgx	150	15	otherwise	otherwise	RB
cord-290952-tbsccwgx	150	16	.	.	.
cord-290952-tbsccwgx	151	1	Proof	proof	NN
cord-290952-tbsccwgx	151	2	.	.	.
cord-290952-tbsccwgx	152	1	The	the	DT
cord-290952-tbsccwgx	152	2	Jacobian	jacobian	JJ
cord-290952-tbsccwgx	152	3	matrix	matrix	NN
cord-290952-tbsccwgx	152	4	J	J	NNP
cord-290952-tbsccwgx	152	5	W	W	NNP
cord-290952-tbsccwgx	152	6	0	0	CD
cord-290952-tbsccwgx	152	7	obtained	obtain	VBN
cord-290952-tbsccwgx	152	8	at	at	IN
cord-290952-tbsccwgx	152	9	the	the	DT
cord-290952-tbsccwgx	152	10	DFE	DFE	NNP
cord-290952-tbsccwgx	152	11	W	W	NNP
cord-290952-tbsccwgx	152	12	0	0	CD
cord-290952-tbsccwgx	152	13	is	be	VBZ
cord-290952-tbsccwgx	152	14	as	as	IN
cord-290952-tbsccwgx	152	15	follows	follow	VBZ
cord-290952-tbsccwgx	152	16	:	:	:
cord-290952-tbsccwgx	153	1	Clearly	clearly	RB
cord-290952-tbsccwgx	153	2	,	,	,
cord-290952-tbsccwgx	153	3	from	from	IN
cord-290952-tbsccwgx	153	4	the	the	DT
cord-290952-tbsccwgx	153	5	above	above	JJ
cord-290952-tbsccwgx	153	6	Jacobian	jacobian	JJ
cord-290952-tbsccwgx	153	7	matrix	matrix	NN
cord-290952-tbsccwgx	153	8	J	J	NNP
cord-290952-tbsccwgx	153	9	W	W	NNP
cord-290952-tbsccwgx	153	10	0	0	CD
cord-290952-tbsccwgx	153	11	,	,	,
cord-290952-tbsccwgx	153	12	the	the	DT
cord-290952-tbsccwgx	153	13	eigenvalues	eigenvalue	NNS
cord-290952-tbsccwgx	153	14	−µ	−µ	NNP
cord-290952-tbsccwgx	153	15	,	,	,
cord-290952-tbsccwgx	153	16	−µ	−µ	NNP
cord-290952-tbsccwgx	153	17	and	and	CC
cord-290952-tbsccwgx	153	18	−k	−k	NNP
cord-290952-tbsccwgx	153	19	6	6	CD
cord-290952-tbsccwgx	153	20	have	have	VBP
cord-290952-tbsccwgx	153	21	negative	negative	JJ
cord-290952-tbsccwgx	153	22	real	real	JJ
cord-290952-tbsccwgx	153	23	part	part	NN
cord-290952-tbsccwgx	153	24	.	.	.
cord-290952-tbsccwgx	154	1	There	there	RB
cord-290952-tbsccwgx	154	2	remanning	remanne	VBG
cord-290952-tbsccwgx	154	3	eigenvalues	eigenvalue	NNS
cord-290952-tbsccwgx	154	4	can	can	MD
cord-290952-tbsccwgx	154	5	be	be	VB
cord-290952-tbsccwgx	154	6	obtained	obtain	VBN
cord-290952-tbsccwgx	154	7	through	through	IN
cord-290952-tbsccwgx	154	8	the	the	DT
cord-290952-tbsccwgx	154	9	equations	equation	NNS
cord-290952-tbsccwgx	154	10	given	give	VBN
cord-290952-tbsccwgx	154	11	below	below	RB
cord-290952-tbsccwgx	154	12	:	:	:
cord-290952-tbsccwgx	155	1	The	the	DT
cord-290952-tbsccwgx	155	2	coefficients	coefficient	NNS
cord-290952-tbsccwgx	155	3	involved	involve	VBN
cord-290952-tbsccwgx	155	4	in	in	IN
cord-290952-tbsccwgx	155	5	(	(	-LRB-
cord-290952-tbsccwgx	155	6	8)	8)	NNP
cord-290952-tbsccwgx	155	7	are	be	VBP
cord-290952-tbsccwgx	155	8	as	as	RB
cord-290952-tbsccwgx	155	9	follow	follow	NN
cord-290952-tbsccwgx	155	10	:	:	:
cord-290952-tbsccwgx	155	11	where	where	WRB
cord-290952-tbsccwgx	155	12	,	,	,
cord-290952-tbsccwgx	155	13	Clearly	clearly	RB
cord-290952-tbsccwgx	155	14	,	,	,
cord-290952-tbsccwgx	155	15	C	C	NNP
cord-290952-tbsccwgx	155	16	j	j	NNP
cord-290952-tbsccwgx	155	17	for	for	IN
cord-290952-tbsccwgx	155	18	j	j	NNP
cord-290952-tbsccwgx	155	19	=	=	SYM
cord-290952-tbsccwgx	155	20	1	1	CD
cord-290952-tbsccwgx	155	21	...	...	NFP
cord-290952-tbsccwgx	155	22	,	,	,
cord-290952-tbsccwgx	155	23	5	5	CD
cord-290952-tbsccwgx	155	24	are	be	VBP
cord-290952-tbsccwgx	155	25	all	all	DT
cord-290952-tbsccwgx	155	26	positive	positive	JJ
cord-290952-tbsccwgx	155	27	if	if	IN
cord-290952-tbsccwgx	155	28	R	r	NN
cord-290952-tbsccwgx	155	29	0	0	CD
cord-290952-tbsccwgx	155	30	<	<	XX
cord-290952-tbsccwgx	155	31	1	1	CD
cord-290952-tbsccwgx	155	32	.	.	.
cord-290952-tbsccwgx	156	1	Further	further	RB
cord-290952-tbsccwgx	156	2	,	,	,
cord-290952-tbsccwgx	156	3	it	-PRON-	PRP
cord-290952-tbsccwgx	156	4	is	be	VBZ
cord-290952-tbsccwgx	156	5	easy	easy	JJ
cord-290952-tbsccwgx	156	6	to	to	TO
cord-290952-tbsccwgx	156	7	show	show	VB
cord-290952-tbsccwgx	156	8	the	the	DT
cord-290952-tbsccwgx	156	9	remaining	remain	VBG
cord-290952-tbsccwgx	156	10	Routh	Routh	NNP
cord-290952-tbsccwgx	156	11	-	-	HYPH
cord-290952-tbsccwgx	156	12	Hurtwiz	Hurtwiz	NNP
cord-290952-tbsccwgx	156	13	condition	condition	NN
cord-290952-tbsccwgx	156	14	for	for	IN
cord-290952-tbsccwgx	156	15	the	the	DT
cord-290952-tbsccwgx	156	16	fifth	fifth	JJ
cord-290952-tbsccwgx	156	17	order	order	NN
cord-290952-tbsccwgx	156	18	polynomial	polynomial	NN
cord-290952-tbsccwgx	156	19	(	(	-LRB-
cord-290952-tbsccwgx	156	20	8)	8)	NN
cord-290952-tbsccwgx	156	21	.	.	.
cord-290952-tbsccwgx	157	1	Thus	thus	RB
cord-290952-tbsccwgx	157	2	,	,	,
cord-290952-tbsccwgx	157	3	the	the	DT
cord-290952-tbsccwgx	157	4	DF	DF	NNP
cord-290952-tbsccwgx	157	5	E	e	NN
cord-290952-tbsccwgx	157	6	is	be	VBZ
cord-290952-tbsccwgx	157	7	locally	locally	RB
cord-290952-tbsccwgx	157	8	asymptotically	asymptotically	RB
cord-290952-tbsccwgx	157	9	stable	stable	JJ
cord-290952-tbsccwgx	157	10	if	if	IN
cord-290952-tbsccwgx	157	11	R	r	NN
cord-290952-tbsccwgx	157	12	0	0	CD
cord-290952-tbsccwgx	157	13	<	<	XX
cord-290952-tbsccwgx	157	14	1	1	CD
cord-290952-tbsccwgx	157	15	.	.	.
cord-290952-tbsccwgx	158	1	The	the	DT
cord-290952-tbsccwgx	158	2	global	global	JJ
cord-290952-tbsccwgx	158	3	dynamics	dynamic	NNS
cord-290952-tbsccwgx	158	4	of	of	IN
cord-290952-tbsccwgx	158	5	DF	DF	NNP
cord-290952-tbsccwgx	158	6	E	E	NNP
cord-290952-tbsccwgx	158	7	,	,	,
cord-290952-tbsccwgx	158	8	W	w	NN
cord-290952-tbsccwgx	158	9	0	0	CD
cord-290952-tbsccwgx	158	10	of	of	IN
cord-290952-tbsccwgx	158	11	the	the	DT
cord-290952-tbsccwgx	158	12	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	158	13	transmission	transmission	NN
cord-290952-tbsccwgx	158	14	model	model	NN
cord-290952-tbsccwgx	158	15	is	be	VBZ
cord-290952-tbsccwgx	158	16	studied	study	VBN
cord-290952-tbsccwgx	158	17	in	in	IN
cord-290952-tbsccwgx	158	18	the	the	DT
cord-290952-tbsccwgx	158	19	following	following	JJ
cord-290952-tbsccwgx	158	20	result	result	NN
cord-290952-tbsccwgx	158	21	.	.	.
cord-290952-tbsccwgx	159	1	Theorem	theorem	NN
cord-290952-tbsccwgx	159	2	2	2	CD
cord-290952-tbsccwgx	159	3	.	.	.
cord-290952-tbsccwgx	160	1	The	the	DT
cord-290952-tbsccwgx	160	2	system	system	NN
cord-290952-tbsccwgx	160	3	(	(	-LRB-
cord-290952-tbsccwgx	160	4	3	3	CD
cord-290952-tbsccwgx	160	5	)	)	-RRB-
cord-290952-tbsccwgx	160	6	at	at	IN
cord-290952-tbsccwgx	160	7	W	w	NN
cord-290952-tbsccwgx	160	8	0	0	CD
cord-290952-tbsccwgx	160	9	is	be	VBZ
cord-290952-tbsccwgx	160	10	globally	globally	RB
cord-290952-tbsccwgx	160	11	asymptotically	asymptotically	RB
cord-290952-tbsccwgx	160	12	stable	stable	JJ
cord-290952-tbsccwgx	160	13	if	if	IN
cord-290952-tbsccwgx	160	14	R	r	NN
cord-290952-tbsccwgx	160	15	0	0	CD
cord-290952-tbsccwgx	160	16	<	<	XX
cord-290952-tbsccwgx	160	17	1	1	CD
cord-290952-tbsccwgx	160	18	,	,	,
cord-290952-tbsccwgx	160	19	and	and	CC
cord-290952-tbsccwgx	160	20	unstable	unstable	JJ
cord-290952-tbsccwgx	160	21	for	for	IN
cord-290952-tbsccwgx	160	22	R	r	NN
cord-290952-tbsccwgx	160	23	0	0	CD
cord-290952-tbsccwgx	160	24	>	>	SYM
cord-290952-tbsccwgx	160	25	1	1	CD
cord-290952-tbsccwgx	160	26	.	.	.
cord-290952-tbsccwgx	161	1	Proof	proof	NN
cord-290952-tbsccwgx	161	2	.	.	.
cord-290952-tbsccwgx	162	1	Let	let	VB
cord-290952-tbsccwgx	162	2	we	-PRON-	PRP
cord-290952-tbsccwgx	162	3	consider	consider	VB
cord-290952-tbsccwgx	162	4	the	the	DT
cord-290952-tbsccwgx	162	5	following	follow	VBG
cord-290952-tbsccwgx	162	6	Lyapunov	Lyapunov	NNP
cord-290952-tbsccwgx	162	7	function	function	NN
cord-290952-tbsccwgx	162	8	,	,	,
cord-290952-tbsccwgx	162	9	in	in	IN
cord-290952-tbsccwgx	162	10	order	order	NN
cord-290952-tbsccwgx	162	11	to	to	TO
cord-290952-tbsccwgx	162	12	prove	prove	VB
cord-290952-tbsccwgx	162	13	the	the	DT
cord-290952-tbsccwgx	162	14	required	require	VBN
cord-290952-tbsccwgx	162	15	result	result	NN
cord-290952-tbsccwgx	162	16	:	:	:
cord-290952-tbsccwgx	162	17	where	where	WRB
cord-290952-tbsccwgx	162	18	B	B	NNP
cord-290952-tbsccwgx	162	19	i	i	PRP
cord-290952-tbsccwgx	162	20	,	,	,
cord-290952-tbsccwgx	162	21	for	for	IN
cord-290952-tbsccwgx	162	22	i	i	PRP
cord-290952-tbsccwgx	162	23	=	=	SYM
cord-290952-tbsccwgx	162	24	1	1	CD
cord-290952-tbsccwgx	162	25	,	,	,
cord-290952-tbsccwgx	162	26	2	2	CD
cord-290952-tbsccwgx	162	27	,	,	,
cord-290952-tbsccwgx	162	28	·	·	NFP
cord-290952-tbsccwgx	162	29	·	·	NFP
cord-290952-tbsccwgx	162	30	·	·	NFP
cord-290952-tbsccwgx	162	31	,	,	,
cord-290952-tbsccwgx	162	32	5	5	CD
cord-290952-tbsccwgx	162	33	,	,	,
cord-290952-tbsccwgx	162	34	used	use	VBN
cord-290952-tbsccwgx	162	35	for	for	IN
cord-290952-tbsccwgx	162	36	some	some	DT
cord-290952-tbsccwgx	162	37	unknown	unknown	JJ
cord-290952-tbsccwgx	162	38	positive	positive	JJ
cord-290952-tbsccwgx	162	39	constants	constant	NNS
cord-290952-tbsccwgx	162	40	.	.	.
cord-290952-tbsccwgx	163	1	Differentiating	differentiate	VBG
cord-290952-tbsccwgx	163	2	the	the	DT
cord-290952-tbsccwgx	163	3	function	function	NN
cord-290952-tbsccwgx	163	4	Z(t	z(t	CD
cord-290952-tbsccwgx	163	5	)	)	-RRB-
cord-290952-tbsccwgx	163	6	with	with	IN
cord-290952-tbsccwgx	163	7	respect	respect	NN
cord-290952-tbsccwgx	163	8	to	to	IN
cord-290952-tbsccwgx	163	9	t	t	NN
cord-290952-tbsccwgx	163	10	and	and	CC
cord-290952-tbsccwgx	163	11	using	use	VBG
cord-290952-tbsccwgx	163	12	the	the	DT
cord-290952-tbsccwgx	163	13	solutions	solution	NNS
cord-290952-tbsccwgx	163	14	of	of	IN
cord-290952-tbsccwgx	163	15	system	system	NN
cord-290952-tbsccwgx	163	16	(	(	-LRB-
cord-290952-tbsccwgx	163	17	3	3	CD
cord-290952-tbsccwgx	163	18	)	)	-RRB-
cord-290952-tbsccwgx	163	19	,	,	,
cord-290952-tbsccwgx	163	20	we	-PRON-	PRP
cord-290952-tbsccwgx	163	21	obtain	obtain	VBP
cord-290952-tbsccwgx	163	22	:	:	:
cord-290952-tbsccwgx	164	1	We	-PRON-	PRP
cord-290952-tbsccwgx	164	2	obtained	obtain	VBD
cord-290952-tbsccwgx	164	3	after	after	IN
cord-290952-tbsccwgx	164	4	some	some	DT
cord-290952-tbsccwgx	164	5	simplification	simplification	NN
cord-290952-tbsccwgx	164	6	Hence	hence	RB
cord-290952-tbsccwgx	164	7	,	,	,
cord-290952-tbsccwgx	164	8	it	-PRON-	PRP
cord-290952-tbsccwgx	164	9	is	be	VBZ
cord-290952-tbsccwgx	164	10	obvious	obvious	JJ
cord-290952-tbsccwgx	164	11	that	that	IN
cord-290952-tbsccwgx	164	12	if	if	IN
cord-290952-tbsccwgx	164	13	R	r	NN
cord-290952-tbsccwgx	164	14	0	0	CD
cord-290952-tbsccwgx	164	15	<	<	XX
cord-290952-tbsccwgx	164	16	1	1	CD
cord-290952-tbsccwgx	164	17	then	then	RB
cord-290952-tbsccwgx	164	18	dZ(t	dZ(t	NNP
cord-290952-tbsccwgx	164	19	)	)	-RRB-
cord-290952-tbsccwgx	164	20	dt	dt	XX
cord-290952-tbsccwgx	164	21	<	<	XX
cord-290952-tbsccwgx	164	22	0	0	CD
cord-290952-tbsccwgx	164	23	.	.	.
cord-290952-tbsccwgx	165	1	Therefore	therefore	RB
cord-290952-tbsccwgx	165	2	,	,	,
cord-290952-tbsccwgx	165	3	the	the	DT
cord-290952-tbsccwgx	165	4	largest	large	JJS
cord-290952-tbsccwgx	165	5	compact	compact	JJ
cord-290952-tbsccwgx	165	6	invariant	invariant	JJ
cord-290952-tbsccwgx	165	7	set	set	NN
cord-290952-tbsccwgx	165	8	in	in	IN
cord-290952-tbsccwgx	165	9	∆	∆	NNP
cord-290952-tbsccwgx	165	10	is	be	VBZ
cord-290952-tbsccwgx	165	11	the	the	DT
cord-290952-tbsccwgx	165	12	singleton	singleton	NNP
cord-290952-tbsccwgx	165	13	set	set	NNP
cord-290952-tbsccwgx	165	14	W	W	NNP
cord-290952-tbsccwgx	165	15	0	0	CD
cord-290952-tbsccwgx	165	16	and	and	CC
cord-290952-tbsccwgx	165	17	using	use	VBG
cord-290952-tbsccwgx	165	18	the	the	DT
cord-290952-tbsccwgx	165	19	LaSalle	LaSalle	NNP
cord-290952-tbsccwgx	165	20	's	's	POS
cord-290952-tbsccwgx	165	21	invariant	invariant	JJ
cord-290952-tbsccwgx	165	22	principle	principle	NN
cord-290952-tbsccwgx	165	23	[	[	-LRB-
cord-290952-tbsccwgx	165	24	17	17	CD
cord-290952-tbsccwgx	165	25	]	]	-RRB-
cord-290952-tbsccwgx	165	26	,	,	,
cord-290952-tbsccwgx	165	27	W	w	NN
cord-290952-tbsccwgx	165	28	0	0	CD
cord-290952-tbsccwgx	165	29	is	be	VBZ
cord-290952-tbsccwgx	165	30	globally	globally	RB
cord-290952-tbsccwgx	165	31	asymptotically	asymptotically	RB
cord-290952-tbsccwgx	165	32	stable	stable	JJ
cord-290952-tbsccwgx	165	33	in	in	IN
cord-290952-tbsccwgx	165	34	∆.	∆.	NNP
cord-290952-tbsccwgx	166	1	The	the	DT
cord-290952-tbsccwgx	166	2	present	present	JJ
cord-290952-tbsccwgx	166	3	section	section	NN
cord-290952-tbsccwgx	166	4	investigates	investigate	VBZ
cord-290952-tbsccwgx	166	5	the	the	DT
cord-290952-tbsccwgx	166	6	data	datum	NNS
cord-290952-tbsccwgx	166	7	fitting	fitting	NN
cord-290952-tbsccwgx	166	8	using	use	VBG
cord-290952-tbsccwgx	166	9	model	model	NN
cord-290952-tbsccwgx	166	10	(	(	-LRB-
cord-290952-tbsccwgx	166	11	3	3	CD
cord-290952-tbsccwgx	166	12	)	)	-RRB-
cord-290952-tbsccwgx	166	13	to	to	IN
cord-290952-tbsccwgx	166	14	the	the	DT
cord-290952-tbsccwgx	166	15	confirmed	confirm	VBN
cord-290952-tbsccwgx	166	16	reported	report	VBN
cord-290952-tbsccwgx	166	17	COVID-19	covid-19	CD
cord-290952-tbsccwgx	166	18	infected	infected	JJ
cord-290952-tbsccwgx	166	19	cases	case	NNS
cord-290952-tbsccwgx	166	20	in	in	IN
cord-290952-tbsccwgx	166	21	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	166	22	.	.	.
cord-290952-tbsccwgx	167	1	The	the	DT
cord-290952-tbsccwgx	167	2	disease	disease	NN
cord-290952-tbsccwgx	167	3	situation	situation	NN
cord-290952-tbsccwgx	167	4	in	in	IN
cord-290952-tbsccwgx	167	5	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	167	6	is	be	VBZ
cord-290952-tbsccwgx	167	7	becoming	become	VBG
cord-290952-tbsccwgx	167	8	worse	bad	JJR
cord-290952-tbsccwgx	167	9	day	day	NN
cord-290952-tbsccwgx	167	10	by	by	IN
cord-290952-tbsccwgx	167	11	day	day	NN
cord-290952-tbsccwgx	167	12	and	and	CC
cord-290952-tbsccwgx	167	13	currently	currently	RB
cord-290952-tbsccwgx	167	14	,	,	,
cord-290952-tbsccwgx	167	15	the	the	DT
cord-290952-tbsccwgx	167	16	cumulative	cumulative	JJ
cord-290952-tbsccwgx	167	17	reported	report	VBN
cord-290952-tbsccwgx	167	18	cases	case	NNS
cord-290952-tbsccwgx	167	19	are	be	VBP
cord-290952-tbsccwgx	167	20	higher	high	JJR
cord-290952-tbsccwgx	167	21	than	than	IN
cord-290952-tbsccwgx	167	22	China	China	NNP
cord-290952-tbsccwgx	167	23	.	.	.
cord-290952-tbsccwgx	168	1	In	in	IN
cord-290952-tbsccwgx	168	2	this	this	DT
cord-290952-tbsccwgx	168	3	study	study	NN
cord-290952-tbsccwgx	168	4	we	-PRON-	PRP
cord-290952-tbsccwgx	168	5	consider	consider	VBP
cord-290952-tbsccwgx	168	6	the	the	DT
cord-290952-tbsccwgx	168	7	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	168	8	confirmed	confirm	VBN
cord-290952-tbsccwgx	168	9	cases	case	NNS
cord-290952-tbsccwgx	168	10	from	from	IN
cord-290952-tbsccwgx	168	11	March	March	NNP
cord-290952-tbsccwgx	168	12	01	01	CD
cord-290952-tbsccwgx	168	13	,	,	,
cord-290952-tbsccwgx	168	14	2020	2020	CD
cord-290952-tbsccwgx	168	15	,	,	,
cord-290952-tbsccwgx	168	16	till	till	IN
cord-290952-tbsccwgx	168	17	May	May	NNP
cord-290952-tbsccwgx	168	18	28	28	CD
cord-290952-tbsccwgx	168	19	,	,	,
cord-290952-tbsccwgx	168	20	2020	2020	CD
cord-290952-tbsccwgx	168	21	,	,	,
cord-290952-tbsccwgx	168	22	reported	report	VBN
cord-290952-tbsccwgx	168	23	in	in	IN
cord-290952-tbsccwgx	168	24	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	168	25	.	.	.
cord-290952-tbsccwgx	169	1	The	the	DT
cord-290952-tbsccwgx	169	2	data	datum	NNS
cord-290952-tbsccwgx	169	3	is	be	VBZ
cord-290952-tbsccwgx	169	4	obtained	obtain	VBN
cord-290952-tbsccwgx	169	5	from	from	IN
cord-290952-tbsccwgx	169	6	[	[	-LRB-
cord-290952-tbsccwgx	169	7	7	7	CD
cord-290952-tbsccwgx	169	8	,	,	,
cord-290952-tbsccwgx	169	9	8	8	CD
cord-290952-tbsccwgx	169	10	]	]	-RRB-
cord-290952-tbsccwgx	169	11	.	.	.
cord-290952-tbsccwgx	170	1	In	in	IN
cord-290952-tbsccwgx	170	2	order	order	NN
cord-290952-tbsccwgx	170	3	to	to	TO
cord-290952-tbsccwgx	170	4	parameterize	parameterize	VB
cord-290952-tbsccwgx	170	5	the	the	DT
cord-290952-tbsccwgx	170	6	model	model	NN
cord-290952-tbsccwgx	170	7	,	,	,
cord-290952-tbsccwgx	170	8	we	-PRON-	PRP
cord-290952-tbsccwgx	170	9	utilized	utilize	VBD
cord-290952-tbsccwgx	170	10	two	two	CD
cord-290952-tbsccwgx	170	11	approaches	approach	NNS
cord-290952-tbsccwgx	170	12	:	:	:
cord-290952-tbsccwgx	171	1	Some	some	DT
cord-290952-tbsccwgx	171	2	of	of	IN
cord-290952-tbsccwgx	171	3	the	the	DT
cord-290952-tbsccwgx	171	4	demographic	demographic	JJ
cord-290952-tbsccwgx	171	5	parameters	parameter	NNS
cord-290952-tbsccwgx	171	6	are	be	VBP
cord-290952-tbsccwgx	171	7	estimated	estimate	VBN
cord-290952-tbsccwgx	171	8	from	from	IN
cord-290952-tbsccwgx	171	9	the	the	DT
cord-290952-tbsccwgx	171	10	literature	literature	NN
cord-290952-tbsccwgx	171	11	.	.	.
cord-290952-tbsccwgx	172	1	We	-PRON-	PRP
cord-290952-tbsccwgx	172	2	assume	assume	VBP
cord-290952-tbsccwgx	172	3	the	the	DT
cord-290952-tbsccwgx	172	4	time	time	NN
cord-290952-tbsccwgx	172	5	unit	unit	NN
cord-290952-tbsccwgx	172	6	is	be	VBZ
cord-290952-tbsccwgx	172	7	days	day	NNS
cord-290952-tbsccwgx	172	8	and	and	CC
cord-290952-tbsccwgx	172	9	the	the	DT
cord-290952-tbsccwgx	172	10	estimation	estimation	NN
cord-290952-tbsccwgx	172	11	procedure	procedure	NN
cord-290952-tbsccwgx	172	12	of	of	IN
cord-290952-tbsccwgx	172	13	the	the	DT
cord-290952-tbsccwgx	172	14	parameters	parameter	NNS
cord-290952-tbsccwgx	172	15	is	be	VBZ
cord-290952-tbsccwgx	172	16	as	as	IN
cord-290952-tbsccwgx	172	17	follows	follow	VBZ
cord-290952-tbsccwgx	172	18	:	:	:
cord-290952-tbsccwgx	172	19	•	•	NNP
cord-290952-tbsccwgx	173	1	The	the	DT
cord-290952-tbsccwgx	173	2	birth	birth	NN
cord-290952-tbsccwgx	173	3	rate	rate	NN
cord-290952-tbsccwgx	173	4	Λ	λ	NN
cord-290952-tbsccwgx	173	5	:	:	:
cord-290952-tbsccwgx	173	6	The	the	DT
cord-290952-tbsccwgx	173	7	total	total	JJ
cord-290952-tbsccwgx	173	8	population	population	NN
cord-290952-tbsccwgx	173	9	of	of	IN
cord-290952-tbsccwgx	173	10	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	173	11	estimated	estimate	VBN
cord-290952-tbsccwgx	173	12	by	by	IN
cord-290952-tbsccwgx	173	13	UN	UN	NNP
cord-290952-tbsccwgx	173	14	for	for	IN
cord-290952-tbsccwgx	173	15	the	the	DT
cord-290952-tbsccwgx	173	16	year	year	NN
cord-290952-tbsccwgx	173	17	2020	2020	CD
cord-290952-tbsccwgx	173	18	is	be	VBZ
cord-290952-tbsccwgx	173	19	about	about	RB
cord-290952-tbsccwgx	173	20	N	N	NNP
cord-290952-tbsccwgx	173	21	(	(	-LRB-
cord-290952-tbsccwgx	173	22	0)=220,309,834	0)=220,309,834	CD
cord-290952-tbsccwgx	173	23	[	[	-LRB-
cord-290952-tbsccwgx	173	24	18	18	CD
cord-290952-tbsccwgx	173	25	]	]	-RRB-
cord-290952-tbsccwgx	173	26	,	,	,
cord-290952-tbsccwgx	173	27	therefore	therefore	RB
cord-290952-tbsccwgx	173	28	,	,	,
cord-290952-tbsccwgx	173	29	the	the	DT
cord-290952-tbsccwgx	173	30	parameter	parameter	NN
cord-290952-tbsccwgx	173	31	Λ	λ	NN
cord-290952-tbsccwgx	173	32	is	be	VBZ
cord-290952-tbsccwgx	173	33	obtained	obtain	VBN
cord-290952-tbsccwgx	173	34	from	from	IN
cord-290952-tbsccwgx	173	35	Λ/µ	Λ/µ	NNP
cord-290952-tbsccwgx	173	36	=	=	SYM
cord-290952-tbsccwgx	173	37	N	n	NN
cord-290952-tbsccwgx	173	38	(	(	-LRB-
cord-290952-tbsccwgx	173	39	0	0	NFP
cord-290952-tbsccwgx	173	40	)	)	-RRB-
cord-290952-tbsccwgx	173	41	,	,	,
cord-290952-tbsccwgx	173	42	and	and	CC
cord-290952-tbsccwgx	173	43	it	-PRON-	PRP
cord-290952-tbsccwgx	173	44	is	be	VBZ
cord-290952-tbsccwgx	173	45	assumed	assume	VBN
cord-290952-tbsccwgx	173	46	that	that	IN
cord-290952-tbsccwgx	173	47	this	this	DT
cord-290952-tbsccwgx	173	48	is	be	VBZ
cord-290952-tbsccwgx	173	49	the	the	DT
cord-290952-tbsccwgx	173	50	limiting	limit	VBG
cord-290952-tbsccwgx	173	51	population	population	NN
cord-290952-tbsccwgx	173	52	in	in	IN
cord-290952-tbsccwgx	173	53	the	the	DT
cord-290952-tbsccwgx	173	54	disease	disease	NN
cord-290952-tbsccwgx	173	55	absence	absence	NN
cord-290952-tbsccwgx	173	56	,	,	,
cord-290952-tbsccwgx	173	57	so	so	IN
cord-290952-tbsccwgx	173	58	that	that	IN
cord-290952-tbsccwgx	173	59	Λ	λ	NN
cord-290952-tbsccwgx	173	60	=	=	SYM
cord-290952-tbsccwgx	173	61	8939	8939	CD
cord-290952-tbsccwgx	173	62	per	per	IN
cord-290952-tbsccwgx	173	63	day	day	NN
cord-290952-tbsccwgx	173	64	.	.	.
cord-290952-tbsccwgx	174	1	•	•	NNP
cord-290952-tbsccwgx	174	2	Mortality	mortality	NN
cord-290952-tbsccwgx	174	3	rate	rate	NN
cord-290952-tbsccwgx	174	4	due	due	IN
cord-290952-tbsccwgx	174	5	to	to	IN
cord-290952-tbsccwgx	174	6	coronavirus	coronavirus	NN
cord-290952-tbsccwgx	174	7	ξ	ξ	NN
cord-290952-tbsccwgx	174	8	1	1	CD
cord-290952-tbsccwgx	174	9	:	:	:
cord-290952-tbsccwgx	175	1	The	the	DT
cord-290952-tbsccwgx	175	2	death	death	NN
cord-290952-tbsccwgx	175	3	rate	rate	NN
cord-290952-tbsccwgx	175	4	due	due	IN
cord-290952-tbsccwgx	175	5	to	to	IN
cord-290952-tbsccwgx	175	6	this	this	DT
cord-290952-tbsccwgx	175	7	novel	novel	JJ
cord-290952-tbsccwgx	175	8	infection	infection	NN
cord-290952-tbsccwgx	175	9	in	in	IN
cord-290952-tbsccwgx	175	10	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	175	11	is	be	VBZ
cord-290952-tbsccwgx	175	12	2.2	2.2	CD
cord-290952-tbsccwgx	175	13	%	%	NN
cord-290952-tbsccwgx	175	14	so	so	RB
cord-290952-tbsccwgx	175	15	far	far	RB
cord-290952-tbsccwgx	175	16	[	[	-LRB-
cord-290952-tbsccwgx	175	17	8	8	CD
cord-290952-tbsccwgx	175	18	]	]	-RRB-
cord-290952-tbsccwgx	175	19	,	,	,
cord-290952-tbsccwgx	175	20	therefore	therefore	RB
cord-290952-tbsccwgx	175	21	the	the	DT
cord-290952-tbsccwgx	175	22	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	175	23	induced	induce	VBN
cord-290952-tbsccwgx	175	24	mortality	mortality	NN
cord-290952-tbsccwgx	175	25	rate	rate	NN
cord-290952-tbsccwgx	175	26	is	be	VBZ
cord-290952-tbsccwgx	175	27	estimated	estimate	VBN
cord-290952-tbsccwgx	175	28	as	as	IN
cord-290952-tbsccwgx	175	29	ξ	ξ	NNS
cord-290952-tbsccwgx	175	30	1	1	CD
cord-290952-tbsccwgx	175	31	=	=	SYM
cord-290952-tbsccwgx	175	32	0.022	0.022	CD
cord-290952-tbsccwgx	175	33	.	.	.
cord-290952-tbsccwgx	176	1	The	the	DT
cord-290952-tbsccwgx	176	2	remaining	remain	VBG
cord-290952-tbsccwgx	176	3	biological	biological	JJ
cord-290952-tbsccwgx	176	4	parameters	parameter	NNS
cord-290952-tbsccwgx	176	5	are	be	VBP
cord-290952-tbsccwgx	176	6	fitted	fit	VBN
cord-290952-tbsccwgx	176	7	from	from	IN
cord-290952-tbsccwgx	176	8	the	the	DT
cord-290952-tbsccwgx	176	9	reported	report	VBN
cord-290952-tbsccwgx	176	10	infected	infected	JJ
cord-290952-tbsccwgx	176	11	cases	case	NNS
cord-290952-tbsccwgx	176	12	plotted	plot	VBN
cord-290952-tbsccwgx	176	13	in	in	IN
cord-290952-tbsccwgx	176	14	Figure	Figure	NNP
cord-290952-tbsccwgx	176	15	1	1	CD
cord-290952-tbsccwgx	176	16	.	.	.
cord-290952-tbsccwgx	177	1	To	to	TO
cord-290952-tbsccwgx	177	2	do	do	VB
cord-290952-tbsccwgx	177	3	this	this	DT
cord-290952-tbsccwgx	177	4	we	-PRON-	PRP
cord-290952-tbsccwgx	177	5	used	use	VBD
cord-290952-tbsccwgx	177	6	the	the	DT
cord-290952-tbsccwgx	177	7	non	non	JJ
cord-290952-tbsccwgx	177	8	-	-	JJ
cord-290952-tbsccwgx	177	9	linear	linear	JJ
cord-290952-tbsccwgx	177	10	least	least	JJS
cord-290952-tbsccwgx	177	11	-	-	HYPH
cord-290952-tbsccwgx	177	12	square	square	JJ
cord-290952-tbsccwgx	177	13	curve	curve	NN
cord-290952-tbsccwgx	177	14	fitting	fitting	NN
cord-290952-tbsccwgx	177	15	technique	technique	NN
cord-290952-tbsccwgx	177	16	followed	follow	VBN
cord-290952-tbsccwgx	177	17	in	in	IN
cord-290952-tbsccwgx	177	18	[	[	-LRB-
cord-290952-tbsccwgx	177	19	19	19	CD
cord-290952-tbsccwgx	177	20	,	,	,
cord-290952-tbsccwgx	177	21	20	20	CD
cord-290952-tbsccwgx	177	22	]	]	-RRB-
cord-290952-tbsccwgx	177	23	.	.	.
cord-290952-tbsccwgx	178	1	We	-PRON-	PRP
cord-290952-tbsccwgx	178	2	briefly	briefly	RB
cord-290952-tbsccwgx	178	3	present	present	VBP
cord-290952-tbsccwgx	178	4	the	the	DT
cord-290952-tbsccwgx	178	5	main	main	JJ
cord-290952-tbsccwgx	178	6	steps	step	NNS
cord-290952-tbsccwgx	178	7	in	in	IN
cord-290952-tbsccwgx	178	8	this	this	DT
cord-290952-tbsccwgx	178	9	statistical	statistical	JJ
cord-290952-tbsccwgx	178	10	technique	technique	NN
cord-290952-tbsccwgx	178	11	.	.	.
cord-290952-tbsccwgx	179	1	In	in	IN
cord-290952-tbsccwgx	179	2	order	order	NN
cord-290952-tbsccwgx	179	3	to	to	TO
cord-290952-tbsccwgx	179	4	present	present	VB
cord-290952-tbsccwgx	179	5	the	the	DT
cord-290952-tbsccwgx	179	6	main	main	JJ
cord-290952-tbsccwgx	179	7	theme	theme	NN
cord-290952-tbsccwgx	179	8	of	of	IN
cord-290952-tbsccwgx	179	9	the	the	DT
cord-290952-tbsccwgx	179	10	algorithm	algorithm	NN
cord-290952-tbsccwgx	179	11	,	,	,
cord-290952-tbsccwgx	179	12	firstly	firstly	RB
cord-290952-tbsccwgx	179	13	,	,	,
cord-290952-tbsccwgx	179	14	the	the	DT
cord-290952-tbsccwgx	179	15	model	model	NN
cord-290952-tbsccwgx	179	16	(	(	-LRB-
cord-290952-tbsccwgx	179	17	3	3	LS
cord-290952-tbsccwgx	179	18	)	)	-RRB-
cord-290952-tbsccwgx	179	19	can	can	MD
cord-290952-tbsccwgx	179	20	be	be	VB
cord-290952-tbsccwgx	179	21	comprehensively	comprehensively	RB
cord-290952-tbsccwgx	179	22	expressed	express	VBN
cord-290952-tbsccwgx	179	23	as	as	IN
cord-290952-tbsccwgx	179	24	The	the	DT
cord-290952-tbsccwgx	179	25	function	function	NN
cord-290952-tbsccwgx	179	26	F	F	NNP
cord-290952-tbsccwgx	179	27	depends	depend	VBZ
cord-290952-tbsccwgx	179	28	on	on	IN
cord-290952-tbsccwgx	179	29	time	time	NN
cord-290952-tbsccwgx	179	30	t	t	NN
cord-290952-tbsccwgx	179	31	,	,	,
cord-290952-tbsccwgx	179	32	the	the	DT
cord-290952-tbsccwgx	179	33	vectors	vector	NNS
cord-290952-tbsccwgx	179	34	of	of	IN
cord-290952-tbsccwgx	179	35	dependent	dependent	JJ
cord-290952-tbsccwgx	179	36	or	or	CC
cord-290952-tbsccwgx	179	37	state	state	NN
cord-290952-tbsccwgx	179	38	variables	variable	NNS
cord-290952-tbsccwgx	179	39	Y	y	NN
cord-290952-tbsccwgx	179	40	and	and	CC
cord-290952-tbsccwgx	179	41	unknown	unknown	JJ
cord-290952-tbsccwgx	179	42	parameters	parameter	NNS
cord-290952-tbsccwgx	179	43	θ	θ	NN
cord-290952-tbsccwgx	179	44	to	to	TO
cord-290952-tbsccwgx	179	45	be	be	VB
cord-290952-tbsccwgx	179	46	estimated	estimate	VBN
cord-290952-tbsccwgx	179	47	.	.	.
cord-290952-tbsccwgx	180	1	The	the	DT
cord-290952-tbsccwgx	180	2	purpose	purpose	NN
cord-290952-tbsccwgx	180	3	of	of	IN
cord-290952-tbsccwgx	180	4	using	use	VBG
cord-290952-tbsccwgx	180	5	the	the	DT
cord-290952-tbsccwgx	180	6	least	least	JJS
cord-290952-tbsccwgx	180	7	square	square	JJ
cord-290952-tbsccwgx	180	8	technique	technique	NN
cord-290952-tbsccwgx	180	9	is	be	VBZ
cord-290952-tbsccwgx	180	10	to	to	TO
cord-290952-tbsccwgx	180	11	estimate	estimate	VB
cord-290952-tbsccwgx	180	12	the	the	DT
cord-290952-tbsccwgx	180	13	best	good	JJS
cord-290952-tbsccwgx	180	14	values	value	NNS
cord-290952-tbsccwgx	180	15	of	of	IN
cord-290952-tbsccwgx	180	16	model	model	NN
cord-290952-tbsccwgx	180	17	parameter	parameter	NN
cord-290952-tbsccwgx	180	18	which	which	WDT
cord-290952-tbsccwgx	180	19	is	be	VBZ
cord-290952-tbsccwgx	180	20	obtain	obtain	VB
cord-290952-tbsccwgx	180	21	by	by	IN
cord-290952-tbsccwgx	180	22	minimizing	minimize	VBG
cord-290952-tbsccwgx	180	23	the	the	DT
cord-290952-tbsccwgx	180	24	error	error	NN
cord-290952-tbsccwgx	180	25	between	between	IN
cord-290952-tbsccwgx	180	26	the	the	DT
cord-290952-tbsccwgx	180	27	reported	report	VBN
cord-290952-tbsccwgx	180	28	data	data	NN
cord-290952-tbsccwgx	180	29	pointsỹ	pointsỹ	NNP
cord-290952-tbsccwgx	180	30	t	t	NNP
cord-290952-tbsccwgx	180	31	l	l	NNP
cord-290952-tbsccwgx	180	32	and	and	CC
cord-290952-tbsccwgx	180	33	the	the	DT
cord-290952-tbsccwgx	180	34	solution	solution	NN
cord-290952-tbsccwgx	180	35	of	of	IN
cord-290952-tbsccwgx	180	36	the	the	DT
cord-290952-tbsccwgx	180	37	model	model	NN
cord-290952-tbsccwgx	180	38	y	y	NNP
cord-290952-tbsccwgx	180	39	t	t	NNP
cord-290952-tbsccwgx	180	40	l	l	NNP
cord-290952-tbsccwgx	180	41	associated	associate	VBN
cord-290952-tbsccwgx	180	42	with	with	IN
cord-290952-tbsccwgx	180	43	the	the	DT
cord-290952-tbsccwgx	180	44	model	model	NN
cord-290952-tbsccwgx	180	45	parameters	parameter	NNS
cord-290952-tbsccwgx	180	46	θ	θ	NN
cord-290952-tbsccwgx	180	47	.	.	.
cord-290952-tbsccwgx	181	1	The	the	DT
cord-290952-tbsccwgx	181	2	objective	objective	JJ
cord-290952-tbsccwgx	181	3	function	function	NN
cord-290952-tbsccwgx	181	4	used	use	VBN
cord-290952-tbsccwgx	181	5	in	in	IN
cord-290952-tbsccwgx	181	6	the	the	DT
cord-290952-tbsccwgx	181	7	minimization	minimization	NN
cord-290952-tbsccwgx	181	8	procedure	procedure	NN
cord-290952-tbsccwgx	181	9	is	be	VBZ
cord-290952-tbsccwgx	181	10	given	give	VBN
cord-290952-tbsccwgx	181	11	asθ	asθ	NN
cord-290952-tbsccwgx	182	1	Where	where	WRB
cord-290952-tbsccwgx	182	2	n	n	NN
cord-290952-tbsccwgx	182	3	denotes	denote	VBZ
cord-290952-tbsccwgx	182	4	the	the	DT
cord-290952-tbsccwgx	182	5	available	available	JJ
cord-290952-tbsccwgx	182	6	actual	actual	JJ
cord-290952-tbsccwgx	182	7	data	data	NN
cord-290952-tbsccwgx	182	8	points	point	NNS
cord-290952-tbsccwgx	182	9	.	.	.
cord-290952-tbsccwgx	183	1	To	to	TO
cord-290952-tbsccwgx	183	2	obtain	obtain	VB
cord-290952-tbsccwgx	183	3	the	the	DT
cord-290952-tbsccwgx	183	4	model	model	NN
cord-290952-tbsccwgx	183	5	parameters	parameter	NNS
cord-290952-tbsccwgx	183	6	,	,	,
cord-290952-tbsccwgx	183	7	we	-PRON-	PRP
cord-290952-tbsccwgx	183	8	aimed	aim	VBD
cord-290952-tbsccwgx	183	9	to	to	TO
cord-290952-tbsccwgx	183	10	minimize	minimize	VB
cord-290952-tbsccwgx	183	11	the	the	DT
cord-290952-tbsccwgx	183	12	following	follow	VBG
cord-290952-tbsccwgx	183	13	objective	objective	JJ
cord-290952-tbsccwgx	183	14	function	function	NN
cord-290952-tbsccwgx	183	15	minθ	minθ	NNS
cord-290952-tbsccwgx	183	16	subject	subject	JJ
cord-290952-tbsccwgx	183	17	to	to	IN
cord-290952-tbsccwgx	183	18	Eq.(10	eq.(10	FW
cord-290952-tbsccwgx	183	19	)	)	-RRB-
cord-290952-tbsccwgx	183	20	.	.	.
cord-290952-tbsccwgx	184	1	For	for	IN
cord-290952-tbsccwgx	184	2	more	more	JJR
cord-290952-tbsccwgx	184	3	detail	detail	NN
cord-290952-tbsccwgx	184	4	about	about	IN
cord-290952-tbsccwgx	184	5	this	this	DT
cord-290952-tbsccwgx	184	6	technique	technique	NN
cord-290952-tbsccwgx	184	7	please	please	UH
cord-290952-tbsccwgx	184	8	see	see	VB
cord-290952-tbsccwgx	184	9	[	[	-LRB-
cord-290952-tbsccwgx	184	10	21	21	CD
cord-290952-tbsccwgx	184	11	,	,	,
cord-290952-tbsccwgx	184	12	19	19	CD
cord-290952-tbsccwgx	184	13	]	]	-RRB-
cord-290952-tbsccwgx	184	14	and	and	CC
cord-290952-tbsccwgx	184	15	reference	reference	NN
cord-290952-tbsccwgx	184	16	therein	therein	RB
cord-290952-tbsccwgx	184	17	.	.	.
cord-290952-tbsccwgx	185	1	We	-PRON-	PRP
cord-290952-tbsccwgx	185	2	investigate	investigate	VBP
cord-290952-tbsccwgx	185	3	the	the	DT
cord-290952-tbsccwgx	185	4	proposed	propose	VBN
cord-290952-tbsccwgx	185	5	model	model	NN
cord-290952-tbsccwgx	185	6	fit	fit	NN
cord-290952-tbsccwgx	185	7	to	to	IN
cord-290952-tbsccwgx	185	8	the	the	DT
cord-290952-tbsccwgx	185	9	reported	report	VBN
cord-290952-tbsccwgx	185	10	COVID-19	covid-19	CD
cord-290952-tbsccwgx	185	11	infected	infected	JJ
cord-290952-tbsccwgx	185	12	cases	case	NNS
cord-290952-tbsccwgx	185	13	in	in	IN
cord-290952-tbsccwgx	185	14	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	185	15	using	use	VBG
cord-290952-tbsccwgx	185	16	the	the	DT
cord-290952-tbsccwgx	185	17	above	above	JJ
cord-290952-tbsccwgx	185	18	approach	approach	NN
cord-290952-tbsccwgx	185	19	.	.	.
cord-290952-tbsccwgx	186	1	The	the	DT
cord-290952-tbsccwgx	186	2	reported	report	VBN
cord-290952-tbsccwgx	186	3	cases	case	NNS
cord-290952-tbsccwgx	186	4	are	be	VBP
cord-290952-tbsccwgx	186	5	shown	show	VBN
cord-290952-tbsccwgx	186	6	in	in	IN
cord-290952-tbsccwgx	186	7	Figure	figure	NN
cord-290952-tbsccwgx	186	8	1	1	CD
cord-290952-tbsccwgx	186	9	.	.	.
cord-290952-tbsccwgx	187	1	The	the	DT
cord-290952-tbsccwgx	187	2	model	model	NN
cord-290952-tbsccwgx	187	3	is	be	VBZ
cord-290952-tbsccwgx	187	4	solved	solve	VBN
cord-290952-tbsccwgx	187	5	using	use	VBG
cord-290952-tbsccwgx	187	6	ode45	ode45	NNS
cord-290952-tbsccwgx	187	7	(	(	-LRB-
cord-290952-tbsccwgx	187	8	RK4	rk4	NN
cord-290952-tbsccwgx	187	9	technique	technique	NN
cord-290952-tbsccwgx	187	10	)	)	-RRB-
cord-290952-tbsccwgx	187	11	package	package	NN
cord-290952-tbsccwgx	187	12	which	which	WDT
cord-290952-tbsccwgx	187	13	is	be	VBZ
cord-290952-tbsccwgx	187	14	a	a	DT
cord-290952-tbsccwgx	187	15	solver	solver	NN
cord-290952-tbsccwgx	187	16	for	for	IN
cord-290952-tbsccwgx	187	17	the	the	DT
cord-290952-tbsccwgx	187	18	initial	initial	JJ
cord-290952-tbsccwgx	187	19	value	value	NN
cord-290952-tbsccwgx	187	20	problem	problem	NN
cord-290952-tbsccwgx	187	21	in	in	IN
cord-290952-tbsccwgx	187	22	Matlab	Matlab	NNP
cord-290952-tbsccwgx	187	23	.	.	.
cord-290952-tbsccwgx	188	1	Then	then	RB
cord-290952-tbsccwgx	188	2	,	,	,
cord-290952-tbsccwgx	188	3	we	-PRON-	PRP
cord-290952-tbsccwgx	188	4	implemented	implement	VBD
cord-290952-tbsccwgx	188	5	the	the	DT
cord-290952-tbsccwgx	188	6	lsqcurvefit	lsqcurvefit	NNP
cord-290952-tbsccwgx	188	7	package	package	NN
cord-290952-tbsccwgx	188	8	to	to	TO
cord-290952-tbsccwgx	188	9	fit	fit	VB
cord-290952-tbsccwgx	188	10	the	the	DT
cord-290952-tbsccwgx	188	11	model	model	NN
cord-290952-tbsccwgx	188	12	to	to	IN
cord-290952-tbsccwgx	188	13	real	real	JJ
cord-290952-tbsccwgx	188	14	data	datum	NNS
cord-290952-tbsccwgx	188	15	and	and	CC
cord-290952-tbsccwgx	188	16	to	to	TO
cord-290952-tbsccwgx	188	17	estimate	estimate	VB
cord-290952-tbsccwgx	188	18	the	the	DT
cord-290952-tbsccwgx	188	19	parameters	parameter	NNS
cord-290952-tbsccwgx	188	20	.	.	.
cord-290952-tbsccwgx	189	1	The	the	DT
cord-290952-tbsccwgx	189	2	best	good	JJS
cord-290952-tbsccwgx	189	3	fit	fit	NN
cord-290952-tbsccwgx	189	4	to	to	IN
cord-290952-tbsccwgx	189	5	the	the	DT
cord-290952-tbsccwgx	189	6	reported	report	VBN
cord-290952-tbsccwgx	189	7	data	datum	NNS
cord-290952-tbsccwgx	189	8	via	via	IN
cord-290952-tbsccwgx	189	9	our	-PRON-	PRP$
cord-290952-tbsccwgx	189	10	model	model	NN
cord-290952-tbsccwgx	189	11	is	be	VBZ
cord-290952-tbsccwgx	189	12	depicted	depict	VBN
cord-290952-tbsccwgx	189	13	in	in	IN
cord-290952-tbsccwgx	189	14	Figure	figure	NN
cord-290952-tbsccwgx	189	15	2	2	CD
cord-290952-tbsccwgx	189	16	.	.	.
cord-290952-tbsccwgx	190	1	It	-PRON-	PRP
cord-290952-tbsccwgx	190	2	can	can	MD
cord-290952-tbsccwgx	190	3	be	be	VB
cord-290952-tbsccwgx	190	4	seen	see	VBN
cord-290952-tbsccwgx	190	5	that	that	IN
cord-290952-tbsccwgx	190	6	the	the	DT
cord-290952-tbsccwgx	190	7	model	model	NN
cord-290952-tbsccwgx	190	8	simulation	simulation	NN
cord-290952-tbsccwgx	190	9	is	be	VBZ
cord-290952-tbsccwgx	190	10	in	in	IN
cord-290952-tbsccwgx	190	11	good	good	JJ
cord-290952-tbsccwgx	190	12	agreement	agreement	NN
cord-290952-tbsccwgx	190	13	with	with	IN
cord-290952-tbsccwgx	190	14	the	the	DT
cord-290952-tbsccwgx	190	15	real	real	JJ
cord-290952-tbsccwgx	190	16	data	datum	NNS
cord-290952-tbsccwgx	190	17	.	.	.
cord-290952-tbsccwgx	191	1	The	the	DT
cord-290952-tbsccwgx	191	2	estimated	estimate	VBN
cord-290952-tbsccwgx	191	3	and	and	CC
cord-290952-tbsccwgx	191	4	fitted	fit	VBN
cord-290952-tbsccwgx	191	5	parameters	parameter	NNS
cord-290952-tbsccwgx	191	6	are	be	VBP
cord-290952-tbsccwgx	191	7	given	give	VBN
cord-290952-tbsccwgx	191	8	in	in	IN
cord-290952-tbsccwgx	191	9	 	 	_SP
cord-290952-tbsccwgx	191	10	This	this	DT
cord-290952-tbsccwgx	191	11	section	section	NN
cord-290952-tbsccwgx	191	12	is	be	VBZ
cord-290952-tbsccwgx	191	13	devoted	devote	VBN
cord-290952-tbsccwgx	191	14	to	to	TO
cord-290952-tbsccwgx	191	15	perform	perform	VB
cord-290952-tbsccwgx	191	16	the	the	DT
cord-290952-tbsccwgx	191	17	simulation	simulation	NN
cord-290952-tbsccwgx	191	18	results	result	NNS
cord-290952-tbsccwgx	191	19	of	of	IN
cord-290952-tbsccwgx	191	20	the	the	DT
cord-290952-tbsccwgx	191	21	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	191	22	transmission	transmission	NN
cord-290952-tbsccwgx	191	23	model	model	NN
cord-290952-tbsccwgx	191	24	(	(	-LRB-
cord-290952-tbsccwgx	191	25	3	3	CD
cord-290952-tbsccwgx	191	26	)	)	-RRB-
cord-290952-tbsccwgx	191	27	.	.	.
cord-290952-tbsccwgx	192	1	The	the	DT
cord-290952-tbsccwgx	192	2	model	model	NN
cord-290952-tbsccwgx	192	3	is	be	VBZ
cord-290952-tbsccwgx	192	4	solved	solve	VBN
cord-290952-tbsccwgx	192	5	numerically	numerically	RB
cord-290952-tbsccwgx	192	6	using	use	VBG
cord-290952-tbsccwgx	192	7	fd45	fd45	NNP
cord-290952-tbsccwgx	192	8	Package	Package	NNP
cord-290952-tbsccwgx	192	9	in	in	IN
cord-290952-tbsccwgx	192	10	Matlab	Matlab	NNP
cord-290952-tbsccwgx	192	11	which	which	WDT
cord-290952-tbsccwgx	192	12	is	be	VBZ
cord-290952-tbsccwgx	192	13	base	base	NN
cord-290952-tbsccwgx	192	14	on	on	IN
cord-290952-tbsccwgx	192	15	the	the	DT
cord-290952-tbsccwgx	192	16	Range	Range	NNP
cord-290952-tbsccwgx	192	17	-	-	HYPH
cord-290952-tbsccwgx	192	18	Kutta	Kutta	NNP
cord-290952-tbsccwgx	192	19	fourth	fourth	JJ
cord-290952-tbsccwgx	192	20	-	-	HYPH
cord-290952-tbsccwgx	192	21	order	order	NN
cord-290952-tbsccwgx	192	22	method	method	NN
cord-290952-tbsccwgx	192	23	.	.	.
cord-290952-tbsccwgx	193	1	The	the	DT
cord-290952-tbsccwgx	193	2	estimated	estimate	VBN
cord-290952-tbsccwgx	193	3	parameter	parameter	NN
cord-290952-tbsccwgx	193	4	values	value	NNS
cord-290952-tbsccwgx	193	5	given	give	VBN
cord-290952-tbsccwgx	193	6	in	in	IN
cord-290952-tbsccwgx	193	7	Table	Table	NNP
cord-290952-tbsccwgx	193	8	 	 	_SP
cord-290952-tbsccwgx	193	9	1	1	CD
cord-290952-tbsccwgx	193	10	are	be	VBP
cord-290952-tbsccwgx	193	11	utilized	utilize	VBN
cord-290952-tbsccwgx	193	12	in	in	IN
cord-290952-tbsccwgx	193	13	the	the	DT
cord-290952-tbsccwgx	193	14	simulation	simulation	NN
cord-290952-tbsccwgx	193	15	process	process	NN
cord-290952-tbsccwgx	193	16	in	in	IN
cord-290952-tbsccwgx	193	17	order	order	NN
cord-290952-tbsccwgx	193	18	to	to	TO
cord-290952-tbsccwgx	193	19	study	study	VB
cord-290952-tbsccwgx	193	20	the	the	DT
cord-290952-tbsccwgx	193	21	impact	impact	NN
cord-290952-tbsccwgx	193	22	of	of	IN
cord-290952-tbsccwgx	193	23	various	various	JJ
cord-290952-tbsccwgx	193	24	possible	possible	JJ
cord-290952-tbsccwgx	193	25	non	non	JJ
cord-290952-tbsccwgx	193	26	-	-	JJ
cord-290952-tbsccwgx	193	27	pharmaceutical	pharmaceutical	JJ
cord-290952-tbsccwgx	193	28	interventions	intervention	NNS
cord-290952-tbsccwgx	193	29	against	against	IN
cord-290952-tbsccwgx	193	30	the	the	DT
cord-290952-tbsccwgx	193	31	spread	spread	NN
cord-290952-tbsccwgx	193	32	of	of	IN
cord-290952-tbsccwgx	193	33	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	193	34	in	in	IN
cord-290952-tbsccwgx	193	35	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	193	36	.	.	.
cord-290952-tbsccwgx	194	1	In	in	IN
cord-290952-tbsccwgx	194	2	the	the	DT
cord-290952-tbsccwgx	194	3	graphical	graphical	JJ
cord-290952-tbsccwgx	194	4	results	result	NNS
cord-290952-tbsccwgx	194	5	,	,	,
cord-290952-tbsccwgx	194	6	the	the	DT
cord-290952-tbsccwgx	194	7	various	various	JJ
cord-290952-tbsccwgx	194	8	non	non	JJ
cord-290952-tbsccwgx	194	9	-	-	JJ
cord-290952-tbsccwgx	194	10	pharmaceutical	pharmaceutical	JJ
cord-290952-tbsccwgx	194	11	control	control	NN
cord-290952-tbsccwgx	194	12	parameters	parameter	NNS
cord-290952-tbsccwgx	194	13	are	be	VBP
cord-290952-tbsccwgx	194	14	taken	take	VBN
cord-290952-tbsccwgx	194	15	at	at	IN
cord-290952-tbsccwgx	194	16	their	-PRON-	PRP$
cord-290952-tbsccwgx	194	17	baseline	baseline	JJ
cord-290952-tbsccwgx	194	18	values	value	NNS
cord-290952-tbsccwgx	194	19	given	give	VBN
cord-290952-tbsccwgx	194	20	in	in	IN
cord-290952-tbsccwgx	194	21	Table	Table	NNP
cord-290952-tbsccwgx	194	22	1	1	CD
cord-290952-tbsccwgx	194	23	(	(	-LRB-
cord-290952-tbsccwgx	194	24	unless	unless	IN
cord-290952-tbsccwgx	194	25	otherwise	otherwise	RB
cord-290952-tbsccwgx	194	26	stated	state	VBN
cord-290952-tbsccwgx	194	27	in	in	IN
cord-290952-tbsccwgx	194	28	captions	caption	NNS
cord-290952-tbsccwgx	194	29	)	)	-RRB-
cord-290952-tbsccwgx	194	30	.	.	.
cord-290952-tbsccwgx	195	1	The	the	DT
cord-290952-tbsccwgx	195	2	effect	effect	NN
cord-290952-tbsccwgx	195	3	of	of	IN
cord-290952-tbsccwgx	195	4	parameter	parameter	NN
cord-290952-tbsccwgx	195	5	β	β	XX
cord-290952-tbsccwgx	195	6	that	that	WDT
cord-290952-tbsccwgx	195	7	represents	represent	VBZ
cord-290952-tbsccwgx	195	8	the	the	DT
cord-290952-tbsccwgx	195	9	impact	impact	NN
cord-290952-tbsccwgx	195	10	of	of	IN
cord-290952-tbsccwgx	195	11	effective	effective	JJ
cord-290952-tbsccwgx	195	12	contacts	contact	NNS
cord-290952-tbsccwgx	195	13	is	be	VBZ
cord-290952-tbsccwgx	195	14	shown	show	VBN
cord-290952-tbsccwgx	195	15	in	in	IN
cord-290952-tbsccwgx	195	16	Figure	Figure	NNP
cord-290952-tbsccwgx	195	17	3	3	CD
cord-290952-tbsccwgx	195	18	.	.	.
cord-290952-tbsccwgx	196	1	We	-PRON-	PRP
cord-290952-tbsccwgx	196	2	have	have	VBP
cord-290952-tbsccwgx	196	3	analyzed	analyze	VBN
cord-290952-tbsccwgx	196	4	the	the	DT
cord-290952-tbsccwgx	196	5	impact	impact	NN
cord-290952-tbsccwgx	196	6	of	of	IN
cord-290952-tbsccwgx	196	7	baseline	baseline	JJ
cord-290952-tbsccwgx	196	8	social	social	JJ
cord-290952-tbsccwgx	196	9	-	-	HYPH
cord-290952-tbsccwgx	196	10	distancing	distance	VBG
cord-290952-tbsccwgx	196	11	,	,	,
cord-290952-tbsccwgx	196	12	mild	mild	JJ
cord-290952-tbsccwgx	196	13	social	social	NN
cord-290952-tbsccwgx	196	14	-	-	HYPH
cord-290952-tbsccwgx	196	15	distancing	distance	VBG
cord-290952-tbsccwgx	196	16	(	(	-LRB-
cord-290952-tbsccwgx	196	17	10	10	CD
cord-290952-tbsccwgx	196	18	%	%	NN
cord-290952-tbsccwgx	196	19	reduction	reduction	NN
cord-290952-tbsccwgx	196	20	in	in	IN
cord-290952-tbsccwgx	196	21	β	β	NNP
cord-290952-tbsccwgx	196	22	)	)	-RRB-
cord-290952-tbsccwgx	196	23	,	,	,
cord-290952-tbsccwgx	196	24	moderate	moderate	JJ
cord-290952-tbsccwgx	196	25	social	social	NN
cord-290952-tbsccwgx	196	26	-	-	HYPH
cord-290952-tbsccwgx	196	27	distancing	distance	VBG
cord-290952-tbsccwgx	196	28	(	(	-LRB-
cord-290952-tbsccwgx	196	29	30	30	CD
cord-290952-tbsccwgx	196	30	%	%	NN
cord-290952-tbsccwgx	196	31	reduction	reduction	NN
cord-290952-tbsccwgx	196	32	in	in	IN
cord-290952-tbsccwgx	196	33	β	β	NN
cord-290952-tbsccwgx	196	34	)	)	-RRB-
cord-290952-tbsccwgx	196	35	and	and	CC
cord-290952-tbsccwgx	196	36	comparatively	comparatively	RB
cord-290952-tbsccwgx	196	37	strict	strict	JJ
cord-290952-tbsccwgx	196	38	socialdistancing	socialdistancing	NN
cord-290952-tbsccwgx	196	39	(	(	-LRB-
cord-290952-tbsccwgx	196	40	35	35	CD
cord-290952-tbsccwgx	196	41	%	%	NN
cord-290952-tbsccwgx	196	42	reduction	reduction	NN
cord-290952-tbsccwgx	196	43	in	in	IN
cord-290952-tbsccwgx	196	44	β	β	NNP
cord-290952-tbsccwgx	196	45	)	)	-RRB-
cord-290952-tbsccwgx	196	46	on	on	IN
cord-290952-tbsccwgx	196	47	the	the	DT
cord-290952-tbsccwgx	196	48	disease	disease	NN
cord-290952-tbsccwgx	196	49	transmission	transmission	NN
cord-290952-tbsccwgx	196	50	.	.	.
cord-290952-tbsccwgx	197	1	It	-PRON-	PRP
cord-290952-tbsccwgx	197	2	is	be	VBZ
cord-290952-tbsccwgx	197	3	observed	observe	VBN
cord-290952-tbsccwgx	197	4	from	from	IN
cord-290952-tbsccwgx	197	5	Figure	figure	NN
cord-290952-tbsccwgx	197	6	3	3	CD
cord-290952-tbsccwgx	197	7	that	that	IN
cord-290952-tbsccwgx	197	8	the	the	DT
cord-290952-tbsccwgx	197	9	enhancement	enhancement	NN
cord-290952-tbsccwgx	197	10	in	in	IN
cord-290952-tbsccwgx	197	11	social	social	NN
cord-290952-tbsccwgx	197	12	-	-	HYPH
cord-290952-tbsccwgx	197	13	distancing	distance	VBG
cord-290952-tbsccwgx	197	14	significantly	significantly	RB
cord-290952-tbsccwgx	197	15	reduced	reduce	VBD
cord-290952-tbsccwgx	197	16	the	the	DT
cord-290952-tbsccwgx	197	17	burden	burden	NN
cord-290952-tbsccwgx	197	18	of	of	IN
cord-290952-tbsccwgx	197	19	cumulative	cumulative	JJ
cord-290952-tbsccwgx	197	20	new	new	JJ
cord-290952-tbsccwgx	197	21	infected	infected	JJ
cord-290952-tbsccwgx	197	22	cases	case	NNS
cord-290952-tbsccwgx	197	23	.	.	.
cord-290952-tbsccwgx	198	1	It	-PRON-	PRP
cord-290952-tbsccwgx	198	2	is	be	VBZ
cord-290952-tbsccwgx	198	3	further	far	RBR
cord-290952-tbsccwgx	198	4	observed	observe	VBN
cord-290952-tbsccwgx	198	5	that	that	IN
cord-290952-tbsccwgx	198	6	the	the	DT
cord-290952-tbsccwgx	198	7	implementation	implementation	NN
cord-290952-tbsccwgx	198	8	of	of	IN
cord-290952-tbsccwgx	198	9	a	a	DT
cord-290952-tbsccwgx	198	10	highly	highly	RB
cord-290952-tbsccwgx	198	11	-	-	HYPH
cord-290952-tbsccwgx	198	12	effective	effective	JJ
cord-290952-tbsccwgx	198	13	social	social	JJ
cord-290952-tbsccwgx	198	14	-	-	HYPH
cord-290952-tbsccwgx	198	15	distancing	distance	VBG
cord-290952-tbsccwgx	198	16	strategy	strategy	NN
cord-290952-tbsccwgx	198	17	(	(	-LRB-
cord-290952-tbsccwgx	198	18	i.e.	i.e.	FW
cord-290952-tbsccwgx	198	19	,	,	,
cord-290952-tbsccwgx	198	20	at	at	IN
cord-290952-tbsccwgx	198	21	least	least	JJS
cord-290952-tbsccwgx	198	22	35	35	CD
cord-290952-tbsccwgx	198	23	%	%	NN
cord-290952-tbsccwgx	198	24	reduction	reduction	NN
cord-290952-tbsccwgx	198	25	in	in	IN
cord-290952-tbsccwgx	198	26	β	β	NN
cord-290952-tbsccwgx	198	27	)	)	-RRB-
cord-290952-tbsccwgx	198	28	dramatically	dramatically	RB
cord-290952-tbsccwgx	198	29	reduces	reduce	VBZ
cord-290952-tbsccwgx	198	30	the	the	DT
cord-290952-tbsccwgx	198	31	cumulative	cumulative	JJ
cord-290952-tbsccwgx	198	32	new	new	JJ
cord-290952-tbsccwgx	198	33	infected	infected	JJ
cord-290952-tbsccwgx	198	34	cases	case	NNS
cord-290952-tbsccwgx	198	35	.	.	.
cord-290952-tbsccwgx	199	1	Thus	thus	RB
cord-290952-tbsccwgx	199	2	,	,	,
cord-290952-tbsccwgx	199	3	this	this	DT
cord-290952-tbsccwgx	199	4	graphical	graphical	JJ
cord-290952-tbsccwgx	199	5	interpretation	interpretation	NN
cord-290952-tbsccwgx	199	6	suggests	suggest	VBZ
cord-290952-tbsccwgx	199	7	that	that	IN
cord-290952-tbsccwgx	199	8	strict	strict	JJ
cord-290952-tbsccwgx	199	9	socialdistancing	socialdistancing	NN
cord-290952-tbsccwgx	199	10	measures	measure	NNS
cord-290952-tbsccwgx	199	11	that	that	WDT
cord-290952-tbsccwgx	199	12	reduces	reduce	VBZ
cord-290952-tbsccwgx	199	13	the	the	DT
cord-290952-tbsccwgx	199	14	contacts	contact	NNS
cord-290952-tbsccwgx	199	15	between	between	IN
cord-290952-tbsccwgx	199	16	people	people	NNS
cord-290952-tbsccwgx	199	17	including	include	VBG
cord-290952-tbsccwgx	199	18	staying	stay	VBG
cord-290952-tbsccwgx	199	19	2	2	CD
cord-290952-tbsccwgx	199	20	meters	meter	NNS
cord-290952-tbsccwgx	199	21	apart	apart	RB
cord-290952-tbsccwgx	199	22	or	or	CC
cord-290952-tbsccwgx	199	23	more	more	RBR
cord-290952-tbsccwgx	199	24	preferably	preferably	RB
cord-290952-tbsccwgx	199	25	staying	stay	VBG
cord-290952-tbsccwgx	199	26	at	at	IN
cord-290952-tbsccwgx	199	27	home	home	NN
cord-290952-tbsccwgx	199	28	should	should	MD
cord-290952-tbsccwgx	199	29	be	be	VB
cord-290952-tbsccwgx	199	30	implemented	implement	VBN
cord-290952-tbsccwgx	199	31	by	by	IN
cord-290952-tbsccwgx	199	32	the	the	DT
cord-290952-tbsccwgx	199	33	government	government	NN
cord-290952-tbsccwgx	199	34	.	.	.
cord-290952-tbsccwgx	200	1	The	the	DT
cord-290952-tbsccwgx	200	2	impact	impact	NN
cord-290952-tbsccwgx	200	3	of	of	IN
cord-290952-tbsccwgx	200	4	parameter	parameter	NN
cord-290952-tbsccwgx	200	5	ψ	ψ	NN
cord-290952-tbsccwgx	200	6	representing	represent	VBG
cord-290952-tbsccwgx	200	7	the	the	DT
cord-290952-tbsccwgx	200	8	infectiousness	infectiousness	NN
cord-290952-tbsccwgx	200	9	rate	rate	NN
cord-290952-tbsccwgx	200	10	due	due	IN
cord-290952-tbsccwgx	200	11	to	to	IN
cord-290952-tbsccwgx	200	12	asymptomaticallyinfected	asymptomaticallyinfecte	VBN
cord-290952-tbsccwgx	200	13	individuals	individual	NNS
cord-290952-tbsccwgx	200	14	is	be	VBZ
cord-290952-tbsccwgx	200	15	depicted	depict	VBN
cord-290952-tbsccwgx	200	16	in	in	IN
cord-290952-tbsccwgx	200	17	Figure	Figure	NNP
cord-290952-tbsccwgx	200	18	4	4	CD
cord-290952-tbsccwgx	200	19	.	.	.
cord-290952-tbsccwgx	201	1	It	-PRON-	PRP
cord-290952-tbsccwgx	201	2	can	can	MD
cord-290952-tbsccwgx	201	3	be	be	VB
cord-290952-tbsccwgx	201	4	seen	see	VBN
cord-290952-tbsccwgx	201	5	that	that	IN
cord-290952-tbsccwgx	201	6	the	the	DT
cord-290952-tbsccwgx	201	7	reduction	reduction	NN
cord-290952-tbsccwgx	201	8	in	in	IN
cord-290952-tbsccwgx	201	9	ψ	ψ	NNP
cord-290952-tbsccwgx	201	10	also	also	RB
cord-290952-tbsccwgx	201	11	significantly	significantly	RB
cord-290952-tbsccwgx	201	12	reduces	reduce	VBZ
cord-290952-tbsccwgx	201	13	the	the	DT
cord-290952-tbsccwgx	201	14	cumulative	cumulative	JJ
cord-290952-tbsccwgx	201	15	number	number	NN
cord-290952-tbsccwgx	201	16	of	of	IN
cord-290952-tbsccwgx	201	17	newly	newly	RB
cord-290952-tbsccwgx	201	18	confirmed	confirm	VBN
cord-290952-tbsccwgx	201	19	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	201	20	infected	infected	JJ
cord-290952-tbsccwgx	201	21	cases	case	NNS
cord-290952-tbsccwgx	201	22	.	.	.
cord-290952-tbsccwgx	202	1	This	this	DT
cord-290952-tbsccwgx	202	2	interpretation	interpretation	NN
cord-290952-tbsccwgx	202	3	shows	show	VBZ
cord-290952-tbsccwgx	202	4	that	that	IN
cord-290952-tbsccwgx	202	5	the	the	DT
cord-290952-tbsccwgx	202	6	people	people	NNS
cord-290952-tbsccwgx	202	7	who	who	WP
cord-290952-tbsccwgx	202	8	do	do	VBP
cord-290952-tbsccwgx	202	9	not	not	RB
cord-290952-tbsccwgx	202	10	even	even	RB
cord-290952-tbsccwgx	202	11	know	know	VB
cord-290952-tbsccwgx	202	12	that	that	IN
cord-290952-tbsccwgx	202	13	they	-PRON-	PRP
cord-290952-tbsccwgx	202	14	are	be	VBP
cord-290952-tbsccwgx	202	15	infected	infect	VBN
cord-290952-tbsccwgx	202	16	(	(	-LRB-
cord-290952-tbsccwgx	202	17	i.e.	i.e.	FW
cord-290952-tbsccwgx	202	18	,	,	,
cord-290952-tbsccwgx	202	19	those	those	DT
cord-290952-tbsccwgx	202	20	with	with	IN
cord-290952-tbsccwgx	202	21	mild	mild	JJ
cord-290952-tbsccwgx	202	22	or	or	CC
cord-290952-tbsccwgx	202	23	no	no	DT
cord-290952-tbsccwgx	202	24	symptoms	symptom	NNS
cord-290952-tbsccwgx	202	25	)	)	-RRB-
cord-290952-tbsccwgx	202	26	,	,	,
cord-290952-tbsccwgx	202	27	are	be	VBP
cord-290952-tbsccwgx	202	28	significantly	significantly	RB
cord-290952-tbsccwgx	202	29	contributing	contribute	VBG
cord-290952-tbsccwgx	202	30	the	the	DT
cord-290952-tbsccwgx	202	31	disease	disease	NN
cord-290952-tbsccwgx	202	32	burden	burden	NN
cord-290952-tbsccwgx	202	33	.	.	.
cord-290952-tbsccwgx	203	1	Further	further	RB
cord-290952-tbsccwgx	203	2	,	,	,
cord-290952-tbsccwgx	203	3	the	the	DT
cord-290952-tbsccwgx	203	4	influence	influence	NN
cord-290952-tbsccwgx	203	5	of	of	IN
cord-290952-tbsccwgx	203	6	parameter	parameter	NN
cord-290952-tbsccwgx	203	7	ν	ν	NNP
cord-290952-tbsccwgx	203	8	the	the	DT
cord-290952-tbsccwgx	203	9	infectiousness	infectiousness	NN
cord-290952-tbsccwgx	203	10	rate	rate	NN
cord-290952-tbsccwgx	203	11	due	due	IN
cord-290952-tbsccwgx	203	12	to	to	IN
cord-290952-tbsccwgx	203	13	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	203	14	patient	patient	NN
cord-290952-tbsccwgx	203	15	admitted	admit	VBN
cord-290952-tbsccwgx	203	16	in	in	IN
cord-290952-tbsccwgx	203	17	the	the	DT
cord-290952-tbsccwgx	203	18	hospital	hospital	NN
cord-290952-tbsccwgx	203	19	are	be	VBP
cord-290952-tbsccwgx	203	20	depicted	depict	VBN
cord-290952-tbsccwgx	203	21	in	in	IN
cord-290952-tbsccwgx	203	22	Figure	figure	NN
cord-290952-tbsccwgx	203	23	5	5	CD
cord-290952-tbsccwgx	203	24	.	.	.
cord-290952-tbsccwgx	204	1	It	-PRON-	PRP
cord-290952-tbsccwgx	204	2	is	be	VBZ
cord-290952-tbsccwgx	204	3	observed	observe	VBN
cord-290952-tbsccwgx	204	4	that	that	IN
cord-290952-tbsccwgx	204	5	the	the	DT
cord-290952-tbsccwgx	204	6	reduction	reduction	NN
cord-290952-tbsccwgx	204	7	in	in	IN
cord-290952-tbsccwgx	204	8	this	this	DT
cord-290952-tbsccwgx	204	9	parameter	parameter	NN
cord-290952-tbsccwgx	204	10	has	have	VBZ
cord-290952-tbsccwgx	204	11	no	no	DT
cord-290952-tbsccwgx	204	12	reasonable	reasonable	JJ
cord-290952-tbsccwgx	204	13	impact	impact	NN
cord-290952-tbsccwgx	204	14	on	on	IN
cord-290952-tbsccwgx	204	15	disease	disease	NN
cord-290952-tbsccwgx	204	16	transmission	transmission	NN
cord-290952-tbsccwgx	204	17	.	.	.
cord-290952-tbsccwgx	205	1	Obviously	obviously	RB
cord-290952-tbsccwgx	205	2	,	,	,
cord-290952-tbsccwgx	205	3	the	the	DT
cord-290952-tbsccwgx	205	4	hospitalized	hospitalize	VBN
cord-290952-tbsccwgx	205	5	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	205	6	patients	patient	NNS
cord-290952-tbsccwgx	205	7	are	be	VBP
cord-290952-tbsccwgx	205	8	isolated	isolate	VBN
cord-290952-tbsccwgx	205	9	and	and	CC
cord-290952-tbsccwgx	205	10	no	no	DT
cord-290952-tbsccwgx	205	11	one	one	NN
cord-290952-tbsccwgx	205	12	is	be	VBZ
cord-290952-tbsccwgx	205	13	allowed	allow	VBN
cord-290952-tbsccwgx	205	14	to	to	TO
cord-290952-tbsccwgx	205	15	meet	meet	VB
cord-290952-tbsccwgx	205	16	him	-PRON-	PRP
cord-290952-tbsccwgx	205	17	.	.	.
cord-290952-tbsccwgx	206	1	The	the	DT
cord-290952-tbsccwgx	206	2	health	health	NN
cord-290952-tbsccwgx	206	3	care	care	NN
cord-290952-tbsccwgx	206	4	facilities	facility	NNS
cord-290952-tbsccwgx	206	5	are	be	VBP
cord-290952-tbsccwgx	206	6	also	also	RB
cord-290952-tbsccwgx	206	7	supposed	suppose	VBN
cord-290952-tbsccwgx	206	8	to	to	TO
cord-290952-tbsccwgx	206	9	follow	follow	VB
cord-290952-tbsccwgx	206	10	strict	strict	JJ
cord-290952-tbsccwgx	206	11	Standard	Standard	NNP
cord-290952-tbsccwgx	206	12	Operating	Operating	NNP
cord-290952-tbsccwgx	206	13	Procedure	Procedure	NNP
cord-290952-tbsccwgx	206	14	(	(	-LRB-
cord-290952-tbsccwgx	206	15	SOP	SOP	NNP
cord-290952-tbsccwgx	206	16	)	)	-RRB-
cord-290952-tbsccwgx	206	17	during	during	IN
cord-290952-tbsccwgx	206	18	the	the	DT
cord-290952-tbsccwgx	206	19	treatment	treatment	NN
cord-290952-tbsccwgx	206	20	and	and	CC
cord-290952-tbsccwgx	206	21	look	look	VB
cord-290952-tbsccwgx	206	22	after	after	IN
cord-290952-tbsccwgx	206	23	of	of	IN
cord-290952-tbsccwgx	206	24	hospitalized	hospitalize	VBN
cord-290952-tbsccwgx	206	25	patients	patient	NNS
cord-290952-tbsccwgx	206	26	.	.	.
cord-290952-tbsccwgx	207	1	Therefore	therefore	RB
cord-290952-tbsccwgx	207	2	,	,	,
cord-290952-tbsccwgx	207	3	these	these	DT
cord-290952-tbsccwgx	207	4	infected	infect	VBN
cord-290952-tbsccwgx	207	5	individuals	individual	NNS
cord-290952-tbsccwgx	207	6	do	do	VBP
cord-290952-tbsccwgx	207	7	not	not	RB
cord-290952-tbsccwgx	207	8	contribute	contribute	VB
cord-290952-tbsccwgx	207	9	greatly	greatly	RB
cord-290952-tbsccwgx	207	10	to	to	IN
cord-290952-tbsccwgx	207	11	the	the	DT
cord-290952-tbsccwgx	207	12	disease	disease	NN
cord-290952-tbsccwgx	207	13	burden	burden	NN
cord-290952-tbsccwgx	207	14	.	.	.
cord-290952-tbsccwgx	208	1	We	-PRON-	PRP
cord-290952-tbsccwgx	208	2	further	further	RB
cord-290952-tbsccwgx	208	3	simulate	simulate	VBP
cord-290952-tbsccwgx	208	4	the	the	DT
cord-290952-tbsccwgx	208	5	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	208	6	model	model	NN
cord-290952-tbsccwgx	208	7	(	(	-LRB-
cord-290952-tbsccwgx	208	8	3	3	CD
cord-290952-tbsccwgx	208	9	)	)	-RRB-
cord-290952-tbsccwgx	208	10	by	by	IN
cord-290952-tbsccwgx	208	11	using	use	VBG
cord-290952-tbsccwgx	208	12	the	the	DT
cord-290952-tbsccwgx	208	13	baseline	baseline	JJ
cord-290952-tbsccwgx	208	14	parameter	parameter	NN
cord-290952-tbsccwgx	208	15	tabulated	tabulate	VBN
cord-290952-tbsccwgx	208	16	in	in	IN
cord-290952-tbsccwgx	208	17	Table	Table	NNP
cord-290952-tbsccwgx	208	18	1	1	CD
cord-290952-tbsccwgx	208	19	and	and	CC
cord-290952-tbsccwgx	208	20	various	various	JJ
cord-290952-tbsccwgx	208	21	of	of	IN
cord-290952-tbsccwgx	208	22	κ	κ	NN
cord-290952-tbsccwgx	208	23	by	by	IN
cord-290952-tbsccwgx	208	24	increasing	increase	VBG
cord-290952-tbsccwgx	208	25	with	with	IN
cord-290952-tbsccwgx	208	26	different	different	JJ
cord-290952-tbsccwgx	208	27	level	level	NN
cord-290952-tbsccwgx	208	28	i.e	i.e	XX
cord-290952-tbsccwgx	208	29	,	,	,
cord-290952-tbsccwgx	208	30	mild	mild	JJ
cord-290952-tbsccwgx	208	31	,	,	,
cord-290952-tbsccwgx	208	32	moderate	moderate	JJ
cord-290952-tbsccwgx	208	33	,	,	,
cord-290952-tbsccwgx	208	34	and	and	CC
cord-290952-tbsccwgx	208	35	strict	strict	JJ
cord-290952-tbsccwgx	208	36	rates	rate	NNS
cord-290952-tbsccwgx	208	37	.	.	.
cord-290952-tbsccwgx	209	1	The	the	DT
cord-290952-tbsccwgx	209	2	resulting	result	VBG
cord-290952-tbsccwgx	209	3	behavior	behavior	NN
cord-290952-tbsccwgx	209	4	is	be	VBZ
cord-290952-tbsccwgx	209	5	depicted	depict	VBN
cord-290952-tbsccwgx	209	6	in	in	IN
cord-290952-tbsccwgx	209	7	Figure	figure	NN
cord-290952-tbsccwgx	209	8	6	6	CD
cord-290952-tbsccwgx	209	9	showing	showing	NN
cord-290952-tbsccwgx	209	10	that	that	IN
cord-290952-tbsccwgx	209	11	a	a	DT
cord-290952-tbsccwgx	209	12	strict	strict	JJ
cord-290952-tbsccwgx	209	13	quarantine	quarantine	NN
cord-290952-tbsccwgx	209	14	or	or	CC
cord-290952-tbsccwgx	209	15	contact	contact	NN
cord-290952-tbsccwgx	209	16	-	-	HYPH
cord-290952-tbsccwgx	209	17	tracing	trace	VBG
cord-290952-tbsccwgx	209	18	policy	policy	NN
cord-290952-tbsccwgx	209	19	(	(	-LRB-
cord-290952-tbsccwgx	209	20	up	up	IN
cord-290952-tbsccwgx	209	21	to	to	TO
cord-290952-tbsccwgx	209	22	70	70	CD
cord-290952-tbsccwgx	209	23	%	%	NN
cord-290952-tbsccwgx	209	24	enhancement	enhancement	NN
cord-290952-tbsccwgx	209	25	to	to	IN
cord-290952-tbsccwgx	209	26	its	-PRON-	PRP$
cord-290952-tbsccwgx	209	27	baseline	baseline	NN
cord-290952-tbsccwgx	209	28	)	)	-RRB-
cord-290952-tbsccwgx	209	29	is	be	VBZ
cord-290952-tbsccwgx	209	30	needed	need	VBN
cord-290952-tbsccwgx	209	31	to	to	TO
cord-290952-tbsccwgx	209	32	reduce	reduce	VB
cord-290952-tbsccwgx	209	33	the	the	DT
cord-290952-tbsccwgx	209	34	disease	disease	NN
cord-290952-tbsccwgx	209	35	burden	burden	NN
cord-290952-tbsccwgx	209	36	in	in	IN
cord-290952-tbsccwgx	209	37	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	209	38	.	.	.
cord-290952-tbsccwgx	210	1	Finally	finally	RB
cord-290952-tbsccwgx	210	2	,	,	,
cord-290952-tbsccwgx	210	3	the	the	DT
cord-290952-tbsccwgx	210	4	impact	impact	NN
cord-290952-tbsccwgx	210	5	of	of	IN
cord-290952-tbsccwgx	210	6	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	210	7	or	or	CC
cord-290952-tbsccwgx	210	8	selfisolation	selfisolation	NN
cord-290952-tbsccwgx	210	9	of	of	IN
cord-290952-tbsccwgx	210	10	tested	test	VBN
cord-290952-tbsccwgx	210	11	positive	positive	JJ
cord-290952-tbsccwgx	210	12	cases	case	NNS
cord-290952-tbsccwgx	210	13	(	(	-LRB-
cord-290952-tbsccwgx	210	14	η	η	NN
cord-290952-tbsccwgx	210	15	)	)	-RRB-
cord-290952-tbsccwgx	210	16	is	be	VBZ
cord-290952-tbsccwgx	210	17	plotted	plot	VBN
cord-290952-tbsccwgx	210	18	in	in	IN
cord-290952-tbsccwgx	210	19	Figure	Figure	NNP
cord-290952-tbsccwgx	210	20	7	7	CD
cord-290952-tbsccwgx	210	21	.	.	.
cord-290952-tbsccwgx	211	1	It	-PRON-	PRP
cord-290952-tbsccwgx	211	2	is	be	VBZ
cord-290952-tbsccwgx	211	3	observed	observe	VBN
cord-290952-tbsccwgx	211	4	that	that	IN
cord-290952-tbsccwgx	211	5	this	this	DT
cord-290952-tbsccwgx	211	6	strategy	strategy	NN
cord-290952-tbsccwgx	211	7	is	be	VBZ
cord-290952-tbsccwgx	211	8	comparatively	comparatively	RB
cord-290952-tbsccwgx	211	9	less	less	RBR
cord-290952-tbsccwgx	211	10	effective	effective	JJ
cord-290952-tbsccwgx	211	11	than	than	IN
cord-290952-tbsccwgx	211	12	social	social	JJ
cord-290952-tbsccwgx	211	13	-	-	HYPH
cord-290952-tbsccwgx	211	14	distancing	distancing	NN
cord-290952-tbsccwgx	211	15	and	and	CC
cord-290952-tbsccwgx	211	16	quarantine	quarantine	NN
cord-290952-tbsccwgx	211	17	interventions	intervention	NNS
cord-290952-tbsccwgx	211	18	.	.	.
cord-290952-tbsccwgx	212	1	These	these	DT
cord-290952-tbsccwgx	212	2	graphical	graphical	JJ
cord-290952-tbsccwgx	212	3	interpretations	interpretation	NNS
cord-290952-tbsccwgx	212	4	emphasize	emphasize	VBP
cord-290952-tbsccwgx	212	5	that	that	IN
cord-290952-tbsccwgx	212	6	once	once	RB
cord-290952-tbsccwgx	212	7	a	a	DT
cord-290952-tbsccwgx	212	8	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	212	9	infected	infected	JJ
cord-290952-tbsccwgx	212	10	case	case	NN
cord-290952-tbsccwgx	212	11	is	be	VBZ
cord-290952-tbsccwgx	212	12	diagnosed	diagnose	VBN
cord-290952-tbsccwgx	212	13	via	via	IN
cord-290952-tbsccwgx	212	14	testing	testing	NN
cord-290952-tbsccwgx	212	15	,	,	,
cord-290952-tbsccwgx	212	16	that	that	DT
cord-290952-tbsccwgx	212	17	case	case	NN
cord-290952-tbsccwgx	212	18	must	must	MD
cord-290952-tbsccwgx	212	19	be	be	VB
cord-290952-tbsccwgx	212	20	rapidly	rapidly	RB
cord-290952-tbsccwgx	212	21	isolated	isolate	VBN
cord-290952-tbsccwgx	212	22	and	and	CC
cord-290952-tbsccwgx	212	23	his	-PRON-	PRP$
cord-290952-tbsccwgx	212	24	/	/	SYM
cord-290952-tbsccwgx	212	25	her	-PRON-	PRP$
cord-290952-tbsccwgx	212	26	contacts	contact	NNS
cord-290952-tbsccwgx	212	27	quickly	quickly	RB
cord-290952-tbsccwgx	212	28	traced	trace	VBD
cord-290952-tbsccwgx	212	29	(	(	-LRB-
cord-290952-tbsccwgx	212	30	via	via	IN
cord-290952-tbsccwgx	212	31	effective	effective	JJ
cord-290952-tbsccwgx	212	32	contact	contact	NN
cord-290952-tbsccwgx	212	33	-	-	HYPH
cord-290952-tbsccwgx	212	34	tracing	tracing	NN
cord-290952-tbsccwgx	212	35	)	)	-RRB-
cord-290952-tbsccwgx	212	36	and	and	CC
cord-290952-tbsccwgx	212	37	placed	place	VBN
cord-290952-tbsccwgx	212	38	in	in	IN
cord-290952-tbsccwgx	212	39	quarantine	quarantine	NN
cord-290952-tbsccwgx	212	40	.	.	.
cord-290952-tbsccwgx	212	41	 	 	_SP
cord-290952-tbsccwgx	213	1	Global	global	JJ
cord-290952-tbsccwgx	213	2	sensitivity	sensitivity	NN
cord-290952-tbsccwgx	213	3	analysis	analysis	NN
cord-290952-tbsccwgx	213	4	is	be	VBZ
cord-290952-tbsccwgx	213	5	one	one	CD
cord-290952-tbsccwgx	213	6	of	of	IN
cord-290952-tbsccwgx	213	7	the	the	DT
cord-290952-tbsccwgx	213	8	important	important	JJ
cord-290952-tbsccwgx	213	9	aspects	aspect	NNS
cord-290952-tbsccwgx	213	10	of	of	IN
cord-290952-tbsccwgx	213	11	mathematical	mathematical	JJ
cord-290952-tbsccwgx	213	12	modeling	modeling	NN
cord-290952-tbsccwgx	213	13	not	not	RB
cord-290952-tbsccwgx	213	14	only	only	RB
cord-290952-tbsccwgx	213	15	for	for	IN
cord-290952-tbsccwgx	213	16	epidemic	epidemic	NN
cord-290952-tbsccwgx	213	17	models	model	NNS
cord-290952-tbsccwgx	213	18	but	but	CC
cord-290952-tbsccwgx	213	19	in	in	IN
cord-290952-tbsccwgx	213	20	all	all	DT
cord-290952-tbsccwgx	213	21	sciences	science	NNS
cord-290952-tbsccwgx	213	22	.	.	.
cord-290952-tbsccwgx	214	1	The	the	DT
cord-290952-tbsccwgx	214	2	global	global	JJ
cord-290952-tbsccwgx	214	3	sensitivity	sensitivity	NN
cord-290952-tbsccwgx	214	4	analysis	analysis	NN
cord-290952-tbsccwgx	214	5	of	of	IN
cord-290952-tbsccwgx	214	6	the	the	DT
cord-290952-tbsccwgx	214	7	threshold	threshold	NN
cord-290952-tbsccwgx	214	8	quantity	quantity	NN
cord-290952-tbsccwgx	214	9	R	r	NN
cord-290952-tbsccwgx	214	10	0	0	CD
cord-290952-tbsccwgx	214	11	is	be	VBZ
cord-290952-tbsccwgx	214	12	used	use	VBN
cord-290952-tbsccwgx	214	13	to	to	TO
cord-290952-tbsccwgx	214	14	measure	measure	VB
cord-290952-tbsccwgx	214	15	the	the	DT
cord-290952-tbsccwgx	214	16	effect	effect	NN
cord-290952-tbsccwgx	214	17	of	of	IN
cord-290952-tbsccwgx	214	18	changes	change	NNS
cord-290952-tbsccwgx	214	19	in	in	IN
cord-290952-tbsccwgx	214	20	the	the	DT
cord-290952-tbsccwgx	214	21	dominant	dominant	JJ
cord-290952-tbsccwgx	214	22	factors	factor	NNS
cord-290952-tbsccwgx	214	23	of	of	IN
cord-290952-tbsccwgx	214	24	the	the	DT
cord-290952-tbsccwgx	214	25	model	model	NN
cord-290952-tbsccwgx	214	26	and	and	CC
cord-290952-tbsccwgx	214	27	to	to	TO
cord-290952-tbsccwgx	214	28	point	point	VB
cord-290952-tbsccwgx	214	29	out	out	RP
cord-290952-tbsccwgx	214	30	the	the	DT
cord-290952-tbsccwgx	214	31	most	most	RBS
cord-290952-tbsccwgx	214	32	influential	influential	JJ
cord-290952-tbsccwgx	214	33	parameters	parameter	NNS
cord-290952-tbsccwgx	214	34	of	of	IN
cord-290952-tbsccwgx	214	35	the	the	DT
cord-290952-tbsccwgx	214	36	model	model	NN
cord-290952-tbsccwgx	214	37	that	that	WDT
cord-290952-tbsccwgx	214	38	greatly	greatly	RB
cord-290952-tbsccwgx	214	39	influence	influence	VBP
cord-290952-tbsccwgx	214	40	the	the	DT
cord-290952-tbsccwgx	214	41	prevalence	prevalence	NN
cord-290952-tbsccwgx	214	42	of	of	IN
cord-290952-tbsccwgx	214	43	infection	infection	NN
cord-290952-tbsccwgx	214	44	.	.	.
cord-290952-tbsccwgx	215	1	Furthermore	furthermore	RB
cord-290952-tbsccwgx	215	2	,	,	,
cord-290952-tbsccwgx	215	3	the	the	DT
cord-290952-tbsccwgx	215	4	sensitivity	sensitivity	NN
cord-290952-tbsccwgx	215	5	results	result	NNS
cord-290952-tbsccwgx	215	6	provide	provide	VBP
cord-290952-tbsccwgx	215	7	a	a	DT
cord-290952-tbsccwgx	215	8	pathway	pathway	NN
cord-290952-tbsccwgx	215	9	to	to	TO
cord-290952-tbsccwgx	215	10	set	set	VB
cord-290952-tbsccwgx	215	11	effective	effective	JJ
cord-290952-tbsccwgx	215	12	and	and	CC
cord-290952-tbsccwgx	215	13	suitable	suitable	JJ
cord-290952-tbsccwgx	215	14	control	control	NN
cord-290952-tbsccwgx	215	15	strategies	strategy	NNS
cord-290952-tbsccwgx	215	16	to	to	TO
cord-290952-tbsccwgx	215	17	curtail	curtail	VB
cord-290952-tbsccwgx	215	18	the	the	DT
cord-290952-tbsccwgx	215	19	disease	disease	NN
cord-290952-tbsccwgx	215	20	in	in	IN
cord-290952-tbsccwgx	215	21	a	a	DT
cord-290952-tbsccwgx	215	22	community	community	NN
cord-290952-tbsccwgx	215	23	.	.	.
cord-290952-tbsccwgx	216	1	More	more	RBR
cord-290952-tbsccwgx	216	2	specifically	specifically	RB
cord-290952-tbsccwgx	216	3	,	,	,
cord-290952-tbsccwgx	216	4	this	this	DT
cord-290952-tbsccwgx	216	5	analysis	analysis	NN
cord-290952-tbsccwgx	216	6	is	be	VBZ
cord-290952-tbsccwgx	216	7	helpful	helpful	JJ
cord-290952-tbsccwgx	216	8	to	to	TO
cord-290952-tbsccwgx	216	9	explore	explore	VB
cord-290952-tbsccwgx	216	10	how	how	WRB
cord-290952-tbsccwgx	216	11	the	the	DT
cord-290952-tbsccwgx	216	12	initial	initial	JJ
cord-290952-tbsccwgx	216	13	inputs	input	NNS
cord-290952-tbsccwgx	216	14	to	to	IN
cord-290952-tbsccwgx	216	15	the	the	DT
cord-290952-tbsccwgx	216	16	model	model	NN
cord-290952-tbsccwgx	216	17	contribute	contribute	VB
cord-290952-tbsccwgx	216	18	to	to	IN
cord-290952-tbsccwgx	216	19	the	the	DT
cord-290952-tbsccwgx	216	20	system	system	NN
cord-290952-tbsccwgx	216	21	outputs	output	NNS
cord-290952-tbsccwgx	216	22	.	.	.
cord-290952-tbsccwgx	217	1	A	a	DT
cord-290952-tbsccwgx	217	2	Latin	latin	JJ
cord-290952-tbsccwgx	217	3	-	-	HYPH
cord-290952-tbsccwgx	217	4	hypercube	hypercube	NN
cord-290952-tbsccwgx	217	5	sampling	sampling	NN
cord-290952-tbsccwgx	217	6	approach	approach	NN
cord-290952-tbsccwgx	217	7	(	(	-LRB-
cord-290952-tbsccwgx	217	8	LHS	LHS	NNP
cord-290952-tbsccwgx	217	9	)	)	-RRB-
cord-290952-tbsccwgx	217	10	coupled	couple	VBN
cord-290952-tbsccwgx	217	11	with	with	IN
cord-290952-tbsccwgx	217	12	the	the	DT
cord-290952-tbsccwgx	217	13	partial	partial	JJ
cord-290952-tbsccwgx	217	14	rank	rank	NN
cord-290952-tbsccwgx	217	15	correlation	correlation	NN
cord-290952-tbsccwgx	217	16	coefficient	coefficient	NN
cord-290952-tbsccwgx	217	17	(	(	-LRB-
cord-290952-tbsccwgx	217	18	PRCC	PRCC	NNP
cord-290952-tbsccwgx	217	19	)	)	-RRB-
cord-290952-tbsccwgx	217	20	is	be	VBZ
cord-290952-tbsccwgx	217	21	commonly	commonly	RB
cord-290952-tbsccwgx	217	22	used	use	VBN
cord-290952-tbsccwgx	217	23	for	for	IN
cord-290952-tbsccwgx	217	24	this	this	DT
cord-290952-tbsccwgx	217	25	purpose	purpose	NN
cord-290952-tbsccwgx	217	26	[	[	-LRB-
cord-290952-tbsccwgx	217	27	22	22	CD
cord-290952-tbsccwgx	217	28	]	]	-RRB-
cord-290952-tbsccwgx	217	29	.	.	.
cord-290952-tbsccwgx	218	1	This	this	DT
cord-290952-tbsccwgx	218	2	technique	technique	NN
cord-290952-tbsccwgx	218	3	provides	provide	VBZ
cord-290952-tbsccwgx	218	4	PRCC	PRCC	NNS
cord-290952-tbsccwgx	218	5	and	and	CC
cord-290952-tbsccwgx	218	6	the	the	DT
cord-290952-tbsccwgx	218	7	corresponding	corresponding	JJ
cord-290952-tbsccwgx	218	8	p	p	NN
cord-290952-tbsccwgx	218	9	-	-	HYPH
cord-290952-tbsccwgx	218	10	values	value	NNS
cord-290952-tbsccwgx	218	11	for	for	IN
cord-290952-tbsccwgx	218	12	each	each	DT
cord-290952-tbsccwgx	218	13	parameter	parameter	NN
cord-290952-tbsccwgx	218	14	the	the	DT
cord-290952-tbsccwgx	218	15	use	use	NN
cord-290952-tbsccwgx	218	16	of	of	IN
cord-290952-tbsccwgx	218	17	which	which	WDT
cord-290952-tbsccwgx	218	18	can	can	MD
cord-290952-tbsccwgx	218	19	help	help	VB
cord-290952-tbsccwgx	218	20	estimate	estimate	VB
cord-290952-tbsccwgx	218	21	the	the	DT
cord-290952-tbsccwgx	218	22	level	level	NN
cord-290952-tbsccwgx	218	23	of	of	IN
cord-290952-tbsccwgx	218	24	uncertainty	uncertainty	NN
cord-290952-tbsccwgx	218	25	in	in	IN
cord-290952-tbsccwgx	218	26	an	an	DT
cord-290952-tbsccwgx	218	27	epidemic	epidemic	NN
cord-290952-tbsccwgx	218	28	model	model	NN
cord-290952-tbsccwgx	218	29	.	.	.
cord-290952-tbsccwgx	219	1	The	the	DT
cord-290952-tbsccwgx	219	2	higher	high	JJR
cord-290952-tbsccwgx	219	3	PRCC	PRCC	NNS
cord-290952-tbsccwgx	219	4	and	and	CC
cord-290952-tbsccwgx	219	5	smaller	small	JJR
cord-290952-tbsccwgx	219	6	p	p	NN
cord-290952-tbsccwgx	219	7	-	-	HYPH
cord-290952-tbsccwgx	219	8	value	value	NN
cord-290952-tbsccwgx	219	9	of	of	IN
cord-290952-tbsccwgx	219	10	a	a	DT
cord-290952-tbsccwgx	219	11	parameter	parameter	NN
cord-290952-tbsccwgx	219	12	indicating	indicate	VBG
cord-290952-tbsccwgx	219	13	that	that	IN
cord-290952-tbsccwgx	219	14	it	-PRON-	PRP
cord-290952-tbsccwgx	219	15	has	have	VBZ
cord-290952-tbsccwgx	219	16	a	a	DT
cord-290952-tbsccwgx	219	17	substantial	substantial	JJ
cord-290952-tbsccwgx	219	18	effect	effect	NN
cord-290952-tbsccwgx	219	19	on	on	IN
cord-290952-tbsccwgx	219	20	simulation	simulation	NN
cord-290952-tbsccwgx	219	21	behavior	behavior	NN
cord-290952-tbsccwgx	219	22	.	.	.
cord-290952-tbsccwgx	220	1	The	the	DT
cord-290952-tbsccwgx	220	2	graphical	graphical	JJ
cord-290952-tbsccwgx	220	3	PRCC	PRCC	NNP
cord-290952-tbsccwgx	220	4	results	result	NNS
cord-290952-tbsccwgx	220	5	of	of	IN
cord-290952-tbsccwgx	220	6	the	the	DT
cord-290952-tbsccwgx	220	7	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	220	8	model	model	NN
cord-290952-tbsccwgx	220	9	associated	associate	VBD
cord-290952-tbsccwgx	220	10	parameters	parameter	NNS
cord-290952-tbsccwgx	220	11	taken	take	VBN
cord-290952-tbsccwgx	220	12	in	in	IN
cord-290952-tbsccwgx	220	13	this	this	DT
cord-290952-tbsccwgx	220	14	analysis	analysis	NN
cord-290952-tbsccwgx	220	15	are	be	VBP
cord-290952-tbsccwgx	220	16	shown	show	VBN
cord-290952-tbsccwgx	220	17	in	in	IN
cord-290952-tbsccwgx	220	18	Figure	Figure	NNP
cord-290952-tbsccwgx	220	19	8	8	CD
cord-290952-tbsccwgx	220	20	,	,	,
cord-290952-tbsccwgx	220	21	while	while	IN
cord-290952-tbsccwgx	220	22	the	the	DT
cord-290952-tbsccwgx	220	23	numerical	numerical	JJ
cord-290952-tbsccwgx	220	24	values	value	NNS
cord-290952-tbsccwgx	220	25	of	of	IN
cord-290952-tbsccwgx	220	26	PRCC	PRCC	NNP
cord-290952-tbsccwgx	220	27	and	and	CC
cord-290952-tbsccwgx	220	28	corresponding	correspond	VBG
cord-290952-tbsccwgx	220	29	p	p	NN
cord-290952-tbsccwgx	220	30	-	-	HYPH
cord-290952-tbsccwgx	220	31	values	value	NNS
cord-290952-tbsccwgx	220	32	are	be	VBP
cord-290952-tbsccwgx	220	33	placed	place	VBN
cord-290952-tbsccwgx	220	34	in	in	IN
cord-290952-tbsccwgx	220	35	Table	Table	NNP
cord-290952-tbsccwgx	220	36	2	2	CD
cord-290952-tbsccwgx	220	37	.	.	.
cord-290952-tbsccwgx	221	1	It	-PRON-	PRP
cord-290952-tbsccwgx	221	2	is	be	VBZ
cord-290952-tbsccwgx	221	3	observed	observe	VBN
cord-290952-tbsccwgx	221	4	from	from	IN
cord-290952-tbsccwgx	221	5	Table	Table	NNP
cord-290952-tbsccwgx	221	6	2	2	CD
cord-290952-tbsccwgx	221	7	and	and	CC
cord-290952-tbsccwgx	221	8	Figure	figure	NN
cord-290952-tbsccwgx	221	9	8	8	CD
cord-290952-tbsccwgx	221	10	that	that	IN
cord-290952-tbsccwgx	221	11	β	β	NN
cord-290952-tbsccwgx	221	12	is	be	VBZ
cord-290952-tbsccwgx	221	13	considered	consider	VBN
cord-290952-tbsccwgx	221	14	to	to	TO
cord-290952-tbsccwgx	221	15	be	be	VB
cord-290952-tbsccwgx	221	16	the	the	DT
cord-290952-tbsccwgx	221	17	most	most	RBS
cord-290952-tbsccwgx	221	18	sensitive	sensitive	JJ
cord-290952-tbsccwgx	221	19	parameter	parameter	NN
cord-290952-tbsccwgx	221	20	with	with	IN
cord-290952-tbsccwgx	221	21	high	high	JJ
cord-290952-tbsccwgx	221	22	PRCC	PRCC	NNS
cord-290952-tbsccwgx	221	23	value	value	NN
cord-290952-tbsccwgx	221	24	with	with	IN
cord-290952-tbsccwgx	221	25	a	a	DT
cord-290952-tbsccwgx	221	26	positive	positive	JJ
cord-290952-tbsccwgx	221	27	sign	sign	NN
cord-290952-tbsccwgx	221	28	followed	follow	VBN
cord-290952-tbsccwgx	221	29	by	by	IN
cord-290952-tbsccwgx	221	30	ψ	ψ	NNP
cord-290952-tbsccwgx	221	31	,	,	,
cord-290952-tbsccwgx	221	32	ν	ν	NNP
cord-290952-tbsccwgx	221	33	,	,	,
cord-290952-tbsccwgx	221	34	and	and	CC
cord-290952-tbsccwgx	221	35	ω	ω	NN
cord-290952-tbsccwgx	221	36	.	.	.
cord-290952-tbsccwgx	222	1	Moreover	moreover	RB
cord-290952-tbsccwgx	222	2	,	,	,
cord-290952-tbsccwgx	222	3	µ	µ	NN
cord-290952-tbsccwgx	222	4	and	and	CC
cord-290952-tbsccwgx	222	5	κ	κ	NN
cord-290952-tbsccwgx	222	6	,	,	,
cord-290952-tbsccwgx	222	7	ξ	ξ	NN
cord-290952-tbsccwgx	222	8	1	1	CD
cord-290952-tbsccwgx	222	9	and	and	CC
cord-290952-tbsccwgx	222	10	η	η	NN
cord-290952-tbsccwgx	222	11	have	have	VBP
cord-290952-tbsccwgx	222	12	competitively	competitively	RB
cord-290952-tbsccwgx	222	13	high	high	JJ
cord-290952-tbsccwgx	222	14	PRCC	PRCC	NNS
cord-290952-tbsccwgx	222	15	with	with	IN
cord-290952-tbsccwgx	222	16	negative	negative	JJ
cord-290952-tbsccwgx	222	17	sign	sign	NN
cord-290952-tbsccwgx	222	18	and	and	CC
cord-290952-tbsccwgx	222	19	zero	zero	CD
cord-290952-tbsccwgx	222	20	p	p	NN
cord-290952-tbsccwgx	222	21	-	-	HYPH
cord-290952-tbsccwgx	222	22	values	value	NNS
cord-290952-tbsccwgx	222	23	.	.	.
cord-290952-tbsccwgx	222	24	 	 	_SP
cord-290952-tbsccwgx	223	1	Previously	previously	RB
cord-290952-tbsccwgx	223	2	,	,	,
cord-290952-tbsccwgx	223	3	we	-PRON-	PRP
cord-290952-tbsccwgx	223	4	analyzed	analyze	VBD
cord-290952-tbsccwgx	223	5	the	the	DT
cord-290952-tbsccwgx	223	6	impact	impact	NN
cord-290952-tbsccwgx	223	7	of	of	IN
cord-290952-tbsccwgx	223	8	non	non	JJ
cord-290952-tbsccwgx	223	9	-	-	JJ
cord-290952-tbsccwgx	223	10	pharmaceutical	pharmaceutical	JJ
cord-290952-tbsccwgx	223	11	interventions	intervention	NNS
cord-290952-tbsccwgx	223	12	with	with	IN
cord-290952-tbsccwgx	223	13	constant	constant	JJ
cord-290952-tbsccwgx	223	14	rates	rate	NNS
cord-290952-tbsccwgx	223	15	.	.	.
cord-290952-tbsccwgx	224	1	In	in	IN
cord-290952-tbsccwgx	224	2	this	this	DT
cord-290952-tbsccwgx	224	3	section	section	NN
cord-290952-tbsccwgx	224	4	we	-PRON-	PRP
cord-290952-tbsccwgx	224	5	formulate	formulate	VBP
cord-290952-tbsccwgx	224	6	an	an	DT
cord-290952-tbsccwgx	224	7	optimal	optimal	JJ
cord-290952-tbsccwgx	224	8	control	control	NN
cord-290952-tbsccwgx	224	9	problem	problem	NN
cord-290952-tbsccwgx	224	10	for	for	IN
cord-290952-tbsccwgx	224	11	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	224	12	with	with	IN
cord-290952-tbsccwgx	224	13	the	the	DT
cord-290952-tbsccwgx	224	14	inclusion	inclusion	NN
cord-290952-tbsccwgx	224	15	of	of	IN
cord-290952-tbsccwgx	224	16	two	two	CD
cord-290952-tbsccwgx	224	17	time	time	NN
cord-290952-tbsccwgx	224	18	dependent	dependent	JJ
cord-290952-tbsccwgx	224	19	controls	control	NNS
cord-290952-tbsccwgx	224	20	in	in	IN
cord-290952-tbsccwgx	224	21	the	the	DT
cord-290952-tbsccwgx	224	22	model	model	NN
cord-290952-tbsccwgx	224	23	(	(	-LRB-
cord-290952-tbsccwgx	224	24	3	3	CD
cord-290952-tbsccwgx	224	25	)	)	-RRB-
cord-290952-tbsccwgx	224	26	.	.	.
cord-290952-tbsccwgx	225	1	The	the	DT
cord-290952-tbsccwgx	225	2	resulting	result	VBG
cord-290952-tbsccwgx	225	3	control	control	NN
cord-290952-tbsccwgx	225	4	problem	problem	NN
cord-290952-tbsccwgx	225	5	is	be	VBZ
cord-290952-tbsccwgx	225	6	presented	present	VBN
cord-290952-tbsccwgx	225	7	in	in	IN
cord-290952-tbsccwgx	225	8	(	(	-LRB-
cord-290952-tbsccwgx	225	9	13	13	CD
cord-290952-tbsccwgx	225	10	)	)	-RRB-
cord-290952-tbsccwgx	225	11	.	.	.
cord-290952-tbsccwgx	226	1	These	these	DT
cord-290952-tbsccwgx	226	2	controls	control	NNS
cord-290952-tbsccwgx	226	3	are	be	VBP
cord-290952-tbsccwgx	226	4	chosen	choose	VBN
cord-290952-tbsccwgx	226	5	on	on	IN
cord-290952-tbsccwgx	226	6	the	the	DT
cord-290952-tbsccwgx	226	7	basis	basis	NN
cord-290952-tbsccwgx	226	8	of	of	IN
cord-290952-tbsccwgx	226	9	global	global	JJ
cord-290952-tbsccwgx	226	10	sensitivity	sensitivity	NN
cord-290952-tbsccwgx	226	11	results	result	NNS
cord-290952-tbsccwgx	226	12	.	.	.
cord-290952-tbsccwgx	227	1	The	the	DT
cord-290952-tbsccwgx	227	2	control	control	NN
cord-290952-tbsccwgx	227	3	variable	variable	NN
cord-290952-tbsccwgx	227	4	u	u	NNP
cord-290952-tbsccwgx	227	5	1	1	CD
cord-290952-tbsccwgx	227	6	(	(	-LRB-
cord-290952-tbsccwgx	227	7	t	t	NN
cord-290952-tbsccwgx	227	8	)	)	-RRB-
cord-290952-tbsccwgx	227	9	is	be	VBZ
cord-290952-tbsccwgx	227	10	used	use	VBN
cord-290952-tbsccwgx	227	11	for	for	IN
cord-290952-tbsccwgx	227	12	the	the	DT
cord-290952-tbsccwgx	227	13	enhancement	enhancement	NN
cord-290952-tbsccwgx	227	14	of	of	IN
cord-290952-tbsccwgx	227	15	effective	effective	JJ
cord-290952-tbsccwgx	227	16	contact	contact	NN
cord-290952-tbsccwgx	227	17	-	-	HYPH
cord-290952-tbsccwgx	227	18	tracing	trace	VBG
cord-290952-tbsccwgx	227	19	policy	policy	NN
cord-290952-tbsccwgx	227	20	to	to	TO
cord-290952-tbsccwgx	227	21	quarantine	quarantine	VB
cord-290952-tbsccwgx	227	22	the	the	DT
cord-290952-tbsccwgx	227	23	exposed	expose	VBN
cord-290952-tbsccwgx	227	24	individuals	individual	NNS
cord-290952-tbsccwgx	227	25	which	which	WDT
cord-290952-tbsccwgx	227	26	was	be	VBD
cord-290952-tbsccwgx	227	27	previously	previously	RB
cord-290952-tbsccwgx	227	28	taken	take	VBN
cord-290952-tbsccwgx	227	29	as	as	IN
cord-290952-tbsccwgx	227	30	a	a	DT
cord-290952-tbsccwgx	227	31	constant	constant	JJ
cord-290952-tbsccwgx	227	32	parameter	parameter	NN
cord-290952-tbsccwgx	227	33	.	.	.
cord-290952-tbsccwgx	228	1	The	the	DT
cord-290952-tbsccwgx	228	2	time	time	NN
cord-290952-tbsccwgx	228	3	dependent	dependent	JJ
cord-290952-tbsccwgx	228	4	control	control	NN
cord-290952-tbsccwgx	228	5	variable	variable	NN
cord-290952-tbsccwgx	228	6	u	u	NNP
cord-290952-tbsccwgx	228	7	2	2	CD
cord-290952-tbsccwgx	228	8	(	(	-LRB-
cord-290952-tbsccwgx	228	9	t	t	NN
cord-290952-tbsccwgx	228	10	)	)	-RRB-
cord-290952-tbsccwgx	228	11	is	be	VBZ
cord-290952-tbsccwgx	228	12	used	use	VBN
cord-290952-tbsccwgx	228	13	to	to	TO
cord-290952-tbsccwgx	228	14	enhance	enhance	VB
cord-290952-tbsccwgx	228	15	the	the	DT
cord-290952-tbsccwgx	228	16	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	228	17	or	or	CC
cord-290952-tbsccwgx	228	18	selfisolation	selfisolation	NN
cord-290952-tbsccwgx	228	19	of	of	IN
cord-290952-tbsccwgx	228	20	diagnosed	diagnose	VBN
cord-290952-tbsccwgx	228	21	COVID-19	COVID-19	,
cord-290952-tbsccwgx	228	22	infected	infected	JJ
cord-290952-tbsccwgx	228	23	cases	case	NNS
cord-290952-tbsccwgx	228	24	(	(	-LRB-
cord-290952-tbsccwgx	228	25	following	follow	VBG
cord-290952-tbsccwgx	228	26	testing	testing	NN
cord-290952-tbsccwgx	228	27	)	)	-RRB-
cord-290952-tbsccwgx	228	28	.	.	.
cord-290952-tbsccwgx	229	1	Thus	thus	RB
cord-290952-tbsccwgx	229	2	,	,	,
cord-290952-tbsccwgx	229	3	the	the	DT
cord-290952-tbsccwgx	229	4	resulting	result	VBG
cord-290952-tbsccwgx	229	5	control	control	NN
cord-290952-tbsccwgx	229	6	model	model	NN
cord-290952-tbsccwgx	229	7	after	after	IN
cord-290952-tbsccwgx	229	8	incorporating	incorporate	VBG
cord-290952-tbsccwgx	229	9	the	the	DT
cord-290952-tbsccwgx	229	10	aforementioned	aforementioned	JJ
cord-290952-tbsccwgx	229	11	control	control	NN
cord-290952-tbsccwgx	229	12	variables	variable	NNS
cord-290952-tbsccwgx	229	13	is	be	VBZ
cord-290952-tbsccwgx	229	14	formulated	formulate	VBN
cord-290952-tbsccwgx	229	15	via	via	IN
cord-290952-tbsccwgx	229	16	the	the	DT
cord-290952-tbsccwgx	229	17	following	follow	VBG
cord-290952-tbsccwgx	229	18	system	system	NN
cord-290952-tbsccwgx	229	19	:	:	:
cord-290952-tbsccwgx	229	20	subject	subject	JJ
cord-290952-tbsccwgx	229	21	to	to	IN
cord-290952-tbsccwgx	229	22	the	the	DT
cord-290952-tbsccwgx	229	23	non	non	JJ
cord-290952-tbsccwgx	229	24	-	-	JJ
cord-290952-tbsccwgx	229	25	negative	negative	JJ
cord-290952-tbsccwgx	229	26	initial	initial	JJ
cord-290952-tbsccwgx	229	27	conditions	condition	NNS
cord-290952-tbsccwgx	229	28	.	.	.
cord-290952-tbsccwgx	230	1	In	in	IN
cord-290952-tbsccwgx	230	2	order	order	NN
cord-290952-tbsccwgx	230	3	to	to	TO
cord-290952-tbsccwgx	230	4	minimize	minimize	VB
cord-290952-tbsccwgx	230	5	this	this	DT
cord-290952-tbsccwgx	230	6	COVID-19	covid-19	CD
cord-290952-tbsccwgx	230	7	infection	infection	NN
cord-290952-tbsccwgx	230	8	,	,	,
cord-290952-tbsccwgx	230	9	we	-PRON-	PRP
cord-290952-tbsccwgx	230	10	are	be	VBP
cord-290952-tbsccwgx	230	11	aimed	aim	VBN
cord-290952-tbsccwgx	230	12	to	to	TO
cord-290952-tbsccwgx	230	13	minimize	minimize	VB
cord-290952-tbsccwgx	230	14	the	the	DT
cord-290952-tbsccwgx	230	15	cost	cost	NN
cord-290952-tbsccwgx	230	16	function	function	NN
cord-290952-tbsccwgx	230	17	given	give	VBN
cord-290952-tbsccwgx	230	18	as	as	IN
cord-290952-tbsccwgx	230	19	:	:	:
cord-290952-tbsccwgx	230	20	where	where	WRB
cord-290952-tbsccwgx	230	21	the	the	DT
cord-290952-tbsccwgx	230	22	expressions	expression	NNS
cord-290952-tbsccwgx	230	23	A	a	DT
cord-290952-tbsccwgx	230	24	i	i	NN
cord-290952-tbsccwgx	230	25	for	for	IN
cord-290952-tbsccwgx	230	26	i	i	PRP
cord-290952-tbsccwgx	230	27	=	=	SYM
cord-290952-tbsccwgx	230	28	1	1	CD
cord-290952-tbsccwgx	230	29	,	,	,
cord-290952-tbsccwgx	230	30	2	2	CD
cord-290952-tbsccwgx	230	31	,	,	,
cord-290952-tbsccwgx	230	32	·	·	NFP
cord-290952-tbsccwgx	230	33	·	·	NFP
cord-290952-tbsccwgx	230	34	·	·	NFP
cord-290952-tbsccwgx	230	35	,	,	,
cord-290952-tbsccwgx	230	36	5	5	CD
cord-290952-tbsccwgx	230	37	,	,	,
cord-290952-tbsccwgx	230	38	are	be	VBP
cord-290952-tbsccwgx	230	39	the	the	DT
cord-290952-tbsccwgx	230	40	constants	constant	NNS
cord-290952-tbsccwgx	230	41	and	and	CC
cord-290952-tbsccwgx	230	42	representing	represent	VBG
cord-290952-tbsccwgx	230	43	the	the	DT
cord-290952-tbsccwgx	230	44	balancing	balance	VBG
cord-290952-tbsccwgx	230	45	cost	cost	NN
cord-290952-tbsccwgx	230	46	factors	factor	NNS
cord-290952-tbsccwgx	230	47	while	while	IN
cord-290952-tbsccwgx	230	48	T	T	NNP
cord-290952-tbsccwgx	230	49	f	f	NNP
cord-290952-tbsccwgx	230	50	represents	represent	VBZ
cord-290952-tbsccwgx	230	51	the	the	DT
cord-290952-tbsccwgx	230	52	final	final	JJ
cord-290952-tbsccwgx	230	53	time	time	NN
cord-290952-tbsccwgx	230	54	.	.	.
cord-290952-tbsccwgx	231	1	We	-PRON-	PRP
cord-290952-tbsccwgx	231	2	consider	consider	VBP
cord-290952-tbsccwgx	231	3	the	the	DT
cord-290952-tbsccwgx	231	4	quadratic	quadratic	JJ
cord-290952-tbsccwgx	231	5	objective	objective	JJ
cord-290952-tbsccwgx	231	6	functional	functional	JJ
cord-290952-tbsccwgx	231	7	because	because	IN
cord-290952-tbsccwgx	231	8	the	the	DT
cord-290952-tbsccwgx	231	9	intervention	intervention	NN
cord-290952-tbsccwgx	231	10	is	be	VBZ
cord-290952-tbsccwgx	231	11	nonlinear	nonlinear	JJ
cord-290952-tbsccwgx	231	12	,	,	,
cord-290952-tbsccwgx	231	13	for	for	IN
cord-290952-tbsccwgx	231	14	more	more	JJR
cord-290952-tbsccwgx	231	15	details	detail	NNS
cord-290952-tbsccwgx	231	16	see	see	VBP
cord-290952-tbsccwgx	231	17	the	the	DT
cord-290952-tbsccwgx	231	18	work	work	NN
cord-290952-tbsccwgx	231	19	and	and	CC
cord-290952-tbsccwgx	231	20	references	reference	NNS
cord-290952-tbsccwgx	231	21	therein	therein	RB
cord-290952-tbsccwgx	231	22	[	[	-LRB-
cord-290952-tbsccwgx	231	23	23	23	CD
cord-290952-tbsccwgx	231	24	,	,	,
cord-290952-tbsccwgx	231	25	24	24	CD
cord-290952-tbsccwgx	231	26	,	,	,
cord-290952-tbsccwgx	231	27	20	20	CD
cord-290952-tbsccwgx	231	28	,	,	,
cord-290952-tbsccwgx	231	29	25	25	CD
cord-290952-tbsccwgx	231	30	]	]	-RRB-
cord-290952-tbsccwgx	231	31	.	.	.
cord-290952-tbsccwgx	232	1	Onward	onward	RB
cord-290952-tbsccwgx	232	2	our	-PRON-	PRP$
cord-290952-tbsccwgx	232	3	main	main	JJ
cord-290952-tbsccwgx	232	4	objective	objective	NN
cord-290952-tbsccwgx	232	5	is	be	VBZ
cord-290952-tbsccwgx	232	6	to	to	TO
cord-290952-tbsccwgx	232	7	investigate	investigate	VB
cord-290952-tbsccwgx	232	8	an	an	DT
cord-290952-tbsccwgx	232	9	optimal	optimal	JJ
cord-290952-tbsccwgx	232	10	controls	control	NNS
cord-290952-tbsccwgx	233	1	u	u	NNP
cord-290952-tbsccwgx	233	2	*	*	NNP
cord-290952-tbsccwgx	233	3	1	1	CD
cord-290952-tbsccwgx	233	4	,	,	,
cord-290952-tbsccwgx	233	5	u	u	NNP
cord-290952-tbsccwgx	233	6	*	*	NNP
cord-290952-tbsccwgx	233	7	2	2	CD
cord-290952-tbsccwgx	233	8	for	for	IN
cord-290952-tbsccwgx	233	9	quarantine	quarantine	NN
cord-290952-tbsccwgx	233	10	and	and	CC
cord-290952-tbsccwgx	233	11	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	233	12	respectively	respectively	RB
cord-290952-tbsccwgx	234	1	such	such	JJ
cord-290952-tbsccwgx	234	2	that	that	IN
cord-290952-tbsccwgx	234	3	The	the	DT
cord-290952-tbsccwgx	234	4	associated	associate	VBN
cord-290952-tbsccwgx	234	5	control	control	NN
cord-290952-tbsccwgx	234	6	set	set	NN
cord-290952-tbsccwgx	234	7	is	be	VBZ
cord-290952-tbsccwgx	234	8	given	give	VBN
cord-290952-tbsccwgx	234	9	by	by	IN
cord-290952-tbsccwgx	234	10	The	the	DT
cord-290952-tbsccwgx	234	11	Lagrangian	Lagrangian	NNP
cord-290952-tbsccwgx	234	12	and	and	CC
cord-290952-tbsccwgx	234	13	Hamiltonian	Hamiltonian	NNP
cord-290952-tbsccwgx	234	14	for	for	IN
cord-290952-tbsccwgx	234	15	the	the	DT
cord-290952-tbsccwgx	234	16	above	above	JJ
cord-290952-tbsccwgx	234	17	optimal	optimal	JJ
cord-290952-tbsccwgx	234	18	control	control	NN
cord-290952-tbsccwgx	234	19	system	system	NN
cord-290952-tbsccwgx	234	20	is	be	VBZ
cord-290952-tbsccwgx	234	21	defined	define	VBN
cord-290952-tbsccwgx	234	22	by	by	IN
cord-290952-tbsccwgx	234	23	and	and	CC
cord-290952-tbsccwgx	234	24	where	where	WRB
cord-290952-tbsccwgx	234	25	λ	λ	NNP
cord-290952-tbsccwgx	234	26	j	j	NNP
cord-290952-tbsccwgx	234	27	,	,	,
cord-290952-tbsccwgx	234	28	for	for	IN
cord-290952-tbsccwgx	234	29	j	j	NNP
cord-290952-tbsccwgx	234	30	=	=	SYM
cord-290952-tbsccwgx	234	31	1	1	CD
cord-290952-tbsccwgx	234	32	,	,	,
cord-290952-tbsccwgx	234	33	2	2	CD
cord-290952-tbsccwgx	234	34	·	·	NFP
cord-290952-tbsccwgx	234	35	·	·	NFP
cord-290952-tbsccwgx	234	36	·	·	NFP
cord-290952-tbsccwgx	234	37	,	,	,
cord-290952-tbsccwgx	234	38	8	8	CD
cord-290952-tbsccwgx	234	39	,	,	,
cord-290952-tbsccwgx	234	40	are	be	VBP
cord-290952-tbsccwgx	234	41	the	the	DT
cord-290952-tbsccwgx	234	42	adjoint	adjoint	NN
cord-290952-tbsccwgx	234	43	variables	variable	NNS
cord-290952-tbsccwgx	234	44	.	.	.
cord-290952-tbsccwgx	235	1	We	-PRON-	PRP
cord-290952-tbsccwgx	235	2	use	use	VBP
cord-290952-tbsccwgx	235	3	the	the	DT
cord-290952-tbsccwgx	235	4	Pontryagin	Pontryagin	NNP
cord-290952-tbsccwgx	235	5	's	's	POS
cord-290952-tbsccwgx	235	6	maximum	maximum	JJ
cord-290952-tbsccwgx	235	7	principle	principle	NN
cord-290952-tbsccwgx	235	8	[	[	-LRB-
cord-290952-tbsccwgx	235	9	26	26	CD
cord-290952-tbsccwgx	235	10	]	]	-RRB-
cord-290952-tbsccwgx	235	11	in	in	IN
cord-290952-tbsccwgx	235	12	order	order	NN
cord-290952-tbsccwgx	235	13	to	to	TO
cord-290952-tbsccwgx	235	14	solve	solve	VB
cord-290952-tbsccwgx	235	15	the	the	DT
cord-290952-tbsccwgx	235	16	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	235	17	optimal	optimal	JJ
cord-290952-tbsccwgx	235	18	control	control	NN
cord-290952-tbsccwgx	235	19	problem	problem	NN
cord-290952-tbsccwgx	235	20	(	(	-LRB-
cord-290952-tbsccwgx	235	21	13	13	CD
cord-290952-tbsccwgx	235	22	)	)	-RRB-
cord-290952-tbsccwgx	235	23	.	.	.
cord-290952-tbsccwgx	236	1	To	to	TO
cord-290952-tbsccwgx	236	2	do	do	VB
cord-290952-tbsccwgx	236	3	this	this	DT
cord-290952-tbsccwgx	236	4	,	,	,
cord-290952-tbsccwgx	236	5	let	let	VB
cord-290952-tbsccwgx	236	6	u	u	PRP
cord-290952-tbsccwgx	236	7	*	*	NNP
cord-290952-tbsccwgx	236	8	1	1	CD
cord-290952-tbsccwgx	236	9	,	,	,
cord-290952-tbsccwgx	236	10	u	u	NN
cord-290952-tbsccwgx	237	1	*	*	NFP
cord-290952-tbsccwgx	237	2	2	2	CD
cord-290952-tbsccwgx	237	3	are	be	VBP
cord-290952-tbsccwgx	237	4	the	the	DT
cord-290952-tbsccwgx	237	5	desired	desire	VBN
cord-290952-tbsccwgx	237	6	optimal	optimal	JJ
cord-290952-tbsccwgx	237	7	solution	solution	NN
cord-290952-tbsccwgx	237	8	then	then	RB
cord-290952-tbsccwgx	237	9	,	,	,
cord-290952-tbsccwgx	237	10	the	the	DT
cord-290952-tbsccwgx	237	11	corresponding	correspond	VBG
cord-290952-tbsccwgx	237	12	conditions	condition	NNS
cord-290952-tbsccwgx	237	13	of	of	IN
cord-290952-tbsccwgx	237	14	Pontryagin	Pontryagin	NNP
cord-290952-tbsccwgx	237	15	's	's	POS
cord-290952-tbsccwgx	237	16	maximum	maximum	JJ
cord-290952-tbsccwgx	237	17	principle	principle	NN
cord-290952-tbsccwgx	237	18	used	use	VBN
cord-290952-tbsccwgx	237	19	in	in	IN
cord-290952-tbsccwgx	237	20	solution	solution	NN
cord-290952-tbsccwgx	237	21	process	process	NN
cord-290952-tbsccwgx	237	22	are	be	VBP
cord-290952-tbsccwgx	237	23	as	as	IN
cord-290952-tbsccwgx	237	24	follows	follow	VBZ
cord-290952-tbsccwgx	237	25	:	:	:
cord-290952-tbsccwgx	237	26	Utilizing	utilize	VBG
cord-290952-tbsccwgx	237	27	the	the	DT
cord-290952-tbsccwgx	237	28	conditions	condition	NNS
cord-290952-tbsccwgx	237	29	mentioned	mention	VBN
cord-290952-tbsccwgx	237	30	above	above	RB
cord-290952-tbsccwgx	237	31	(	(	-LRB-
cord-290952-tbsccwgx	237	32	17	17	CD
cord-290952-tbsccwgx	237	33	)	)	-RRB-
cord-290952-tbsccwgx	237	34	,	,	,
cord-290952-tbsccwgx	237	35	we	-PRON-	PRP
cord-290952-tbsccwgx	237	36	present	present	VBP
cord-290952-tbsccwgx	237	37	the	the	DT
cord-290952-tbsccwgx	237	38	solution	solution	NN
cord-290952-tbsccwgx	237	39	of	of	IN
cord-290952-tbsccwgx	237	40	optimality	optimality	NN
cord-290952-tbsccwgx	237	41	system	system	NN
cord-290952-tbsccwgx	237	42	in	in	IN
cord-290952-tbsccwgx	237	43	the	the	DT
cord-290952-tbsccwgx	237	44	following	following	JJ
cord-290952-tbsccwgx	237	45	theorem	theorem	NN
cord-290952-tbsccwgx	237	46	.	.	.
cord-290952-tbsccwgx	238	1	Theorem	theorem	NN
cord-290952-tbsccwgx	238	2	3	3	CD
cord-290952-tbsccwgx	238	3	.	.	.
cord-290952-tbsccwgx	239	1	The	the	DT
cord-290952-tbsccwgx	239	2	optimal	optimal	JJ
cord-290952-tbsccwgx	239	3	controls	control	NNS
cord-290952-tbsccwgx	240	1	u	u	NNP
cord-290952-tbsccwgx	240	2	*	*	NNP
cord-290952-tbsccwgx	240	3	1	1	CD
cord-290952-tbsccwgx	240	4	,	,	,
cord-290952-tbsccwgx	240	5	u	u	NNP
cord-290952-tbsccwgx	240	6	*	*	NNP
cord-290952-tbsccwgx	240	7	2	2	CD
cord-290952-tbsccwgx	240	8	and	and	CC
cord-290952-tbsccwgx	240	9	the	the	DT
cord-290952-tbsccwgx	240	10	solutions	solution	NNS
cord-290952-tbsccwgx	240	11	S	S	NNP
cord-290952-tbsccwgx	240	12	*	*	NFP
cord-290952-tbsccwgx	240	13	,	,	,
cord-290952-tbsccwgx	240	14	E	E	NNP
cord-290952-tbsccwgx	240	15	*	*	NFP
cord-290952-tbsccwgx	240	16	,	,	,
cord-290952-tbsccwgx	240	17	I	-PRON-	PRP
cord-290952-tbsccwgx	240	18	*	*	NFP
cord-290952-tbsccwgx	240	19	,	,	,
cord-290952-tbsccwgx	240	20	I	-PRON-	PRP
cord-290952-tbsccwgx	240	21	*	*	NFP
cord-290952-tbsccwgx	240	22	a	a	DT
cord-290952-tbsccwgx	240	23	,	,	,
cord-290952-tbsccwgx	240	24	Q	Q	NNP
cord-290952-tbsccwgx	240	25	*	*	NFP
cord-290952-tbsccwgx	240	26	,	,	,
cord-290952-tbsccwgx	240	27	I	-PRON-	PRP
cord-290952-tbsccwgx	241	1	*	*	NFP
cord-290952-tbsccwgx	241	2	h	h	NNP
cord-290952-tbsccwgx	241	3	,	,	,
cord-290952-tbsccwgx	241	4	I	-PRON-	PRP
cord-290952-tbsccwgx	242	1	*	*	NFP
cord-290952-tbsccwgx	242	2	c	c	NN
cord-290952-tbsccwgx	242	3	and	and	CC
cord-290952-tbsccwgx	242	4	R	R	NNP
cord-290952-tbsccwgx	242	5	*	*	NFP
cord-290952-tbsccwgx	242	6	of	of	IN
cord-290952-tbsccwgx	242	7	the	the	DT
cord-290952-tbsccwgx	242	8	corresponding	correspond	VBG
cord-290952-tbsccwgx	242	9	control	control	NN
cord-290952-tbsccwgx	242	10	system	system	NN
cord-290952-tbsccwgx	242	11	(	(	-LRB-
cord-290952-tbsccwgx	242	12	13	13	CD
cord-290952-tbsccwgx	242	13	)	)	-RRB-
cord-290952-tbsccwgx	242	14	that	that	WDT
cord-290952-tbsccwgx	242	15	minimize	minimize	VBP
cord-290952-tbsccwgx	242	16	the	the	DT
cord-290952-tbsccwgx	242	17	objective	objective	JJ
cord-290952-tbsccwgx	242	18	functional	functional	JJ
cord-290952-tbsccwgx	242	19	J(u	J(u	NNP
cord-290952-tbsccwgx	242	20	1	1	CD
cord-290952-tbsccwgx	242	21	,	,	,
cord-290952-tbsccwgx	242	22	u	u	NNP
cord-290952-tbsccwgx	242	23	2	2	CD
cord-290952-tbsccwgx	242	24	)	)	-RRB-
cord-290952-tbsccwgx	242	25	over	over	IN
cord-290952-tbsccwgx	242	26	Ω.	Ω.	NNP
cord-290952-tbsccwgx	243	1	There	there	EX
cord-290952-tbsccwgx	243	2	exists	exist	VBZ
cord-290952-tbsccwgx	243	3	adjoint	adjoint	NN
cord-290952-tbsccwgx	243	4	variables	variable	NNS
cord-290952-tbsccwgx	243	5	λ	λ	NNP
cord-290952-tbsccwgx	243	6	i	i	NN
cord-290952-tbsccwgx	243	7	,	,	,
cord-290952-tbsccwgx	244	1	where	where	WRB
cord-290952-tbsccwgx	244	2	i	i	PRP
cord-290952-tbsccwgx	244	3	=	=	SYM
cord-290952-tbsccwgx	244	4	1	1	CD
cord-290952-tbsccwgx	244	5	,	,	,
cord-290952-tbsccwgx	244	6	2	2	CD
cord-290952-tbsccwgx	244	7	,	,	,
cord-290952-tbsccwgx	244	8	·	·	NFP
cord-290952-tbsccwgx	244	9	·	·	NFP
cord-290952-tbsccwgx	244	10	·	·	NFP
cord-290952-tbsccwgx	244	11	,	,	,
cord-290952-tbsccwgx	244	12	8	8	CD
cord-290952-tbsccwgx	244	13	,	,	,
cord-290952-tbsccwgx	244	14	along	along	IN
cord-290952-tbsccwgx	244	15	with	with	IN
cord-290952-tbsccwgx	244	16	transversality	transversality	NN
cord-290952-tbsccwgx	244	17	conditions	condition	NNS
cord-290952-tbsccwgx	244	18	λ	λ	NNP
cord-290952-tbsccwgx	244	19	i	i	NN
cord-290952-tbsccwgx	244	20	(	(	-LRB-
cord-290952-tbsccwgx	244	21	T	T	NNP
cord-290952-tbsccwgx	244	22	f	f	NN
cord-290952-tbsccwgx	244	23	)	)	-RRB-
cord-290952-tbsccwgx	244	24	=	=	SYM
cord-290952-tbsccwgx	244	25	0	0	NFP
cord-290952-tbsccwgx	244	26	such	such	JJ
cord-290952-tbsccwgx	244	27	that	that	DT
cord-290952-tbsccwgx	245	1	Furthermore	furthermore	RB
cord-290952-tbsccwgx	245	2	,	,	,
cord-290952-tbsccwgx	245	3	the	the	DT
cord-290952-tbsccwgx	245	4	associated	associate	VBN
cord-290952-tbsccwgx	245	5	optimal	optimal	JJ
cord-290952-tbsccwgx	245	6	controls	control	NNS
cord-290952-tbsccwgx	246	1	u	u	NNP
cord-290952-tbsccwgx	246	2	*	*	NNP
cord-290952-tbsccwgx	246	3	1	1	CD
cord-290952-tbsccwgx	246	4	and	and	CC
cord-290952-tbsccwgx	246	5	u	u	NNP
cord-290952-tbsccwgx	247	1	*	*	NFP
cord-290952-tbsccwgx	247	2	2	2	CD
cord-290952-tbsccwgx	247	3	are	be	VBP
cord-290952-tbsccwgx	247	4	given	give	VBN
cord-290952-tbsccwgx	247	5	by	by	IN
cord-290952-tbsccwgx	247	6	Proof	Proof	NNP
cord-290952-tbsccwgx	247	7	.	.	.
cord-290952-tbsccwgx	248	1	The	the	DT
cord-290952-tbsccwgx	248	2	desired	desire	VBN
cord-290952-tbsccwgx	248	3	results	result	NNS
cord-290952-tbsccwgx	248	4	(	(	-LRB-
cord-290952-tbsccwgx	248	5	18	18	CD
cord-290952-tbsccwgx	248	6	)	)	-RRB-
cord-290952-tbsccwgx	248	7	and	and	CC
cord-290952-tbsccwgx	248	8	the	the	DT
cord-290952-tbsccwgx	248	9	transversality	transversality	NN
cord-290952-tbsccwgx	248	10	conditions	condition	NNS
cord-290952-tbsccwgx	248	11	are	be	VBP
cord-290952-tbsccwgx	248	12	obtained	obtain	VBN
cord-290952-tbsccwgx	248	13	by	by	IN
cord-290952-tbsccwgx	248	14	utilizing	utilize	VBG
cord-290952-tbsccwgx	248	15	the	the	DT
cord-290952-tbsccwgx	248	16	conditions	condition	NNS
cord-290952-tbsccwgx	248	17	specified	specify	VBN
cord-290952-tbsccwgx	248	18	in	in	IN
cord-290952-tbsccwgx	248	19	(	(	-LRB-
cord-290952-tbsccwgx	248	20	17	17	CD
cord-290952-tbsccwgx	248	21	)	)	-RRB-
cord-290952-tbsccwgx	248	22	for	for	IN
cord-290952-tbsccwgx	248	23	the	the	DT
cord-290952-tbsccwgx	248	24	Hamiltonian	hamiltonian	JJ
cord-290952-tbsccwgx	248	25	function	function	NN
cord-290952-tbsccwgx	248	26	given	give	VBN
cord-290952-tbsccwgx	248	27	(	(	-LRB-
cord-290952-tbsccwgx	248	28	16	16	CD
cord-290952-tbsccwgx	248	29	)	)	-RRB-
cord-290952-tbsccwgx	248	30	and	and	CC
cord-290952-tbsccwgx	248	31	with	with	IN
cord-290952-tbsccwgx	248	32	the	the	DT
cord-290952-tbsccwgx	248	33	settings	setting	NNS
cord-290952-tbsccwgx	249	1	S	s	NN
cord-290952-tbsccwgx	249	2	=	=	SYM
cord-290952-tbsccwgx	249	3	S	s	NN
cord-290952-tbsccwgx	250	1	*	*	NFP
cord-290952-tbsccwgx	250	2	,	,	,
cord-290952-tbsccwgx	250	3	E	e	NN
cord-290952-tbsccwgx	250	4	=	=	SYM
cord-290952-tbsccwgx	250	5	E	e	NN
cord-290952-tbsccwgx	251	1	*	*	NFP
cord-290952-tbsccwgx	251	2	,	,	,
cord-290952-tbsccwgx	251	3	I	-PRON-	PRP
cord-290952-tbsccwgx	251	4	=	=	NFP
cord-290952-tbsccwgx	252	1	I	-PRON-	PRP
cord-290952-tbsccwgx	253	1	*	*	NFP
cord-290952-tbsccwgx	253	2	,	,	,
cord-290952-tbsccwgx	253	3	I	-PRON-	PRP
cord-290952-tbsccwgx	253	4	a	a	DT
cord-290952-tbsccwgx	254	1	=	=	NFP
cord-290952-tbsccwgx	255	1	I	-PRON-	PRP
cord-290952-tbsccwgx	255	2	*	*	NFP
cord-290952-tbsccwgx	256	1	a	a	LS
cord-290952-tbsccwgx	257	1	,	,	,
cord-290952-tbsccwgx	257	2	Q	Q	NNP
cord-290952-tbsccwgx	257	3	=	=	NN
cord-290952-tbsccwgx	257	4	Q	Q	NNP
cord-290952-tbsccwgx	257	5	*	*	NFP
cord-290952-tbsccwgx	257	6	,	,	,
cord-290952-tbsccwgx	258	1	I	-PRON-	PRP
cord-290952-tbsccwgx	258	2	h	h	NN
cord-290952-tbsccwgx	258	3	=	=	NFP
cord-290952-tbsccwgx	259	1	I	-PRON-	PRP
cord-290952-tbsccwgx	260	1	*	*	NFP
cord-290952-tbsccwgx	260	2	h	h	NNP
cord-290952-tbsccwgx	260	3	,	,	,
cord-290952-tbsccwgx	261	1	I	i	NN
cord-290952-tbsccwgx	261	2	c	c	NN
cord-290952-tbsccwgx	261	3	=	=	NFP
cord-290952-tbsccwgx	262	1	I	-PRON-	PRP
cord-290952-tbsccwgx	263	1	*	*	NFP
cord-290952-tbsccwgx	263	2	c	c	NN
cord-290952-tbsccwgx	263	3	and	and	CC
cord-290952-tbsccwgx	263	4	R	r	NN
cord-290952-tbsccwgx	263	5	=	=	SYM
cord-290952-tbsccwgx	263	6	R	r	NN
cord-290952-tbsccwgx	263	7	*	*	NFP
cord-290952-tbsccwgx	263	8	.	.	.
cord-290952-tbsccwgx	264	1	Further	further	RB
cord-290952-tbsccwgx	264	2	,	,	,
cord-290952-tbsccwgx	264	3	to	to	TO
cord-290952-tbsccwgx	264	4	obtain	obtain	VB
cord-290952-tbsccwgx	264	5	the	the	DT
cord-290952-tbsccwgx	264	6	equations	equation	NNS
cord-290952-tbsccwgx	264	7	(	(	-LRB-
cord-290952-tbsccwgx	264	8	19	19	CD
cord-290952-tbsccwgx	264	9	)	)	-RRB-
cord-290952-tbsccwgx	264	10	for	for	IN
cord-290952-tbsccwgx	264	11	the	the	DT
cord-290952-tbsccwgx	264	12	control	control	NN
cord-290952-tbsccwgx	264	13	characterization	characterization	NN
cord-290952-tbsccwgx	264	14	,	,	,
cord-290952-tbsccwgx	264	15	we	-PRON-	PRP
cord-290952-tbsccwgx	264	16	use	use	VBP
cord-290952-tbsccwgx	264	17	the	the	DT
cord-290952-tbsccwgx	264	18	condition	condition	NN
cord-290952-tbsccwgx	265	1	∂H(t	∂H(t	NNP
cord-290952-tbsccwgx	265	2	,	,	,
cord-290952-tbsccwgx	265	3	u	u	NNP
cord-290952-tbsccwgx	265	4	j	j	NNP
cord-290952-tbsccwgx	265	5	*	*	NFP
cord-290952-tbsccwgx	265	6	,	,	,
cord-290952-tbsccwgx	265	7	λ	λ	NNP
cord-290952-tbsccwgx	265	8	j	j	NNP
cord-290952-tbsccwgx	265	9	)	)	-RRB-
cord-290952-tbsccwgx	265	10	∂u	∂u	.
cord-290952-tbsccwgx	266	1	j	j	NNP
cord-290952-tbsccwgx	266	2	=	=	SYM
cord-290952-tbsccwgx	266	3	0	0	NFP
cord-290952-tbsccwgx	266	4	given	give	VBN
cord-290952-tbsccwgx	266	5	in	in	IN
cord-290952-tbsccwgx	266	6	(	(	-LRB-
cord-290952-tbsccwgx	266	7	17	17	CD
cord-290952-tbsccwgx	266	8	)	)	-RRB-
cord-290952-tbsccwgx	266	9	for	for	IN
cord-290952-tbsccwgx	266	10	j	j	NNP
cord-290952-tbsccwgx	266	11	=	=	SYM
cord-290952-tbsccwgx	266	12	1	1	CD
cord-290952-tbsccwgx	266	13	,	,	,
cord-290952-tbsccwgx	266	14	2	2	CD
cord-290952-tbsccwgx	266	15	,	,	,
cord-290952-tbsccwgx	266	16	and	and	CC
cord-290952-tbsccwgx	266	17	the	the	DT
cord-290952-tbsccwgx	266	18	equations	equation	NNS
cord-290952-tbsccwgx	266	19	(	(	-LRB-
cord-290952-tbsccwgx	266	20	19	19	CD
cord-290952-tbsccwgx	266	21	)	)	-RRB-
cord-290952-tbsccwgx	266	22	are	be	VBP
cord-290952-tbsccwgx	266	23	presented	present	VBN
cord-290952-tbsccwgx	266	24	.	.	.
cord-290952-tbsccwgx	267	1	We	-PRON-	PRP
cord-290952-tbsccwgx	267	2	present	present	VBP
cord-290952-tbsccwgx	267	3	and	and	CC
cord-290952-tbsccwgx	267	4	discuss	discuss	VB
cord-290952-tbsccwgx	267	5	the	the	DT
cord-290952-tbsccwgx	267	6	graphical	graphical	JJ
cord-290952-tbsccwgx	267	7	results	result	NNS
cord-290952-tbsccwgx	267	8	of	of	IN
cord-290952-tbsccwgx	267	9	the	the	DT
cord-290952-tbsccwgx	267	10	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	267	11	model	model	NN
cord-290952-tbsccwgx	267	12	(	(	-LRB-
cord-290952-tbsccwgx	267	13	3	3	LS
cord-290952-tbsccwgx	267	14	)	)	-RRB-
cord-290952-tbsccwgx	267	15	with	with	IN
cord-290952-tbsccwgx	267	16	constant	constant	JJ
cord-290952-tbsccwgx	267	17	quarantine	quarantine	NN
cord-290952-tbsccwgx	267	18	and	and	CC
cord-290952-tbsccwgx	267	19	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	267	20	/	/	SYM
cord-290952-tbsccwgx	267	21	isolation	isolation	NN
cord-290952-tbsccwgx	267	22	control	control	NN
cord-290952-tbsccwgx	267	23	measures	measure	NNS
cord-290952-tbsccwgx	267	24	and	and	CC
cord-290952-tbsccwgx	267	25	the	the	DT
cord-290952-tbsccwgx	267	26	model	model	NN
cord-290952-tbsccwgx	267	27	(	(	-LRB-
cord-290952-tbsccwgx	267	28	13	13	CD
cord-290952-tbsccwgx	267	29	)	)	-RRB-
cord-290952-tbsccwgx	267	30	with	with	IN
cord-290952-tbsccwgx	267	31	time	time	NN
cord-290952-tbsccwgx	267	32	dependent	dependent	JJ
cord-290952-tbsccwgx	267	33	control	control	NN
cord-290952-tbsccwgx	267	34	interventions	intervention	NNS
cord-290952-tbsccwgx	267	35	and	and	CC
cord-290952-tbsccwgx	267	36	compared	compare	VBN
cord-290952-tbsccwgx	267	37	both	both	DT
cord-290952-tbsccwgx	267	38	results	result	NNS
cord-290952-tbsccwgx	267	39	.	.	.
cord-290952-tbsccwgx	268	1	To	to	TO
cord-290952-tbsccwgx	268	2	perform	perform	VB
cord-290952-tbsccwgx	268	3	the	the	DT
cord-290952-tbsccwgx	268	4	simulations	simulation	NNS
cord-290952-tbsccwgx	268	5	,	,	,
cord-290952-tbsccwgx	268	6	both	both	DT
cord-290952-tbsccwgx	268	7	models	model	NNS
cord-290952-tbsccwgx	268	8	are	be	VBP
cord-290952-tbsccwgx	268	9	solved	solve	VBN
cord-290952-tbsccwgx	268	10	numerically	numerically	RB
cord-290952-tbsccwgx	268	11	using	use	VBG
cord-290952-tbsccwgx	268	12	the	the	DT
cord-290952-tbsccwgx	268	13	RK4	rk4	NN
cord-290952-tbsccwgx	268	14	technique	technique	NN
cord-290952-tbsccwgx	268	15	.	.	.
cord-290952-tbsccwgx	269	1	The	the	DT
cord-290952-tbsccwgx	269	2	estimated	estimate	VBN
cord-290952-tbsccwgx	269	3	and	and	CC
cord-290952-tbsccwgx	269	4	fitted	fit	VBN
cord-290952-tbsccwgx	269	5	parameters	parameter	NNS
cord-290952-tbsccwgx	269	6	given	give	VBN
cord-290952-tbsccwgx	269	7	in	in	IN
cord-290952-tbsccwgx	269	8	Table	Table	NNP
cord-290952-tbsccwgx	269	9	2	2	CD
cord-290952-tbsccwgx	269	10	are	be	VBP
cord-290952-tbsccwgx	269	11	used	use	VBN
cord-290952-tbsccwgx	269	12	in	in	IN
cord-290952-tbsccwgx	269	13	the	the	DT
cord-290952-tbsccwgx	269	14	simulation	simulation	NN
cord-290952-tbsccwgx	269	15	results	result	NNS
cord-290952-tbsccwgx	269	16	.	.	.
cord-290952-tbsccwgx	270	1	The	the	DT
cord-290952-tbsccwgx	270	2	time	time	NN
cord-290952-tbsccwgx	270	3	level	level	NN
cord-290952-tbsccwgx	270	4	is	be	VBZ
cord-290952-tbsccwgx	270	5	considered	consider	VBN
cord-290952-tbsccwgx	270	6	up	up	IN
cord-290952-tbsccwgx	270	7	to	to	TO
cord-290952-tbsccwgx	270	8	150	150	CD
cord-290952-tbsccwgx	270	9	units	unit	NNS
cord-290952-tbsccwgx	270	10	(	(	-LRB-
cord-290952-tbsccwgx	270	11	days	day	NNS
cord-290952-tbsccwgx	270	12	)	)	-RRB-
cord-290952-tbsccwgx	270	13	.	.	.
cord-290952-tbsccwgx	271	1	The	the	DT
cord-290952-tbsccwgx	271	2	weight	weight	NN
cord-290952-tbsccwgx	271	3	and	and	CC
cord-290952-tbsccwgx	271	4	balancing	balancing	NN
cord-290952-tbsccwgx	271	5	constants	constant	NNS
cord-290952-tbsccwgx	271	6	are	be	VBP
cord-290952-tbsccwgx	271	7	chosen	choose	VBN
cord-290952-tbsccwgx	271	8	as	as	IN
cord-290952-tbsccwgx	271	9	A	a	DT
cord-290952-tbsccwgx	271	10	1	1	CD
cord-290952-tbsccwgx	271	11	=	=	SYM
cord-290952-tbsccwgx	271	12	0.001	0.001	CD
cord-290952-tbsccwgx	271	13	,	,	,
cord-290952-tbsccwgx	271	14	A	a	DT
cord-290952-tbsccwgx	271	15	2	2	CD
cord-290952-tbsccwgx	271	16	=	=	SYM
cord-290952-tbsccwgx	271	17	0.01	0.01	CD
cord-290952-tbsccwgx	271	18	,	,	,
cord-290952-tbsccwgx	271	19	A	a	DT
cord-290952-tbsccwgx	271	20	3	3	CD
cord-290952-tbsccwgx	271	21	=	=	SYM
cord-290952-tbsccwgx	271	22	0.001	0.001	CD
cord-290952-tbsccwgx	271	23	,	,	,
cord-290952-tbsccwgx	271	24	A	a	DT
cord-290952-tbsccwgx	271	25	4	4	CD
cord-290952-tbsccwgx	271	26	=	=	SYM
cord-290952-tbsccwgx	271	27	300	300	CD
cord-290952-tbsccwgx	271	28	,	,	,
cord-290952-tbsccwgx	271	29	and	and	CC
cord-290952-tbsccwgx	271	30	A	a	DT
cord-290952-tbsccwgx	271	31	5	5	CD
cord-290952-tbsccwgx	271	32	=	=	SYM
cord-290952-tbsccwgx	271	33	200	200	CD
cord-290952-tbsccwgx	271	34	.	.	.
cord-290952-tbsccwgx	272	1	It	-PRON-	PRP
cord-290952-tbsccwgx	272	2	should	should	MD
cord-290952-tbsccwgx	272	3	be	be	VB
cord-290952-tbsccwgx	272	4	noticed	notice	VBN
cord-290952-tbsccwgx	272	5	that	that	IN
cord-290952-tbsccwgx	272	6	the	the	DT
cord-290952-tbsccwgx	272	7	weights	weight	NNS
cord-290952-tbsccwgx	272	8	constant	constant	JJ
cord-290952-tbsccwgx	272	9	values	value	NNS
cord-290952-tbsccwgx	272	10	taken	take	VBN
cord-290952-tbsccwgx	272	11	in	in	IN
cord-290952-tbsccwgx	272	12	the	the	DT
cord-290952-tbsccwgx	272	13	simulations	simulation	NNS
cord-290952-tbsccwgx	272	14	are	be	VBP
cord-290952-tbsccwgx	272	15	theoretical	theoretical	JJ
cord-290952-tbsccwgx	272	16	as	as	IN
cord-290952-tbsccwgx	272	17	they	-PRON-	PRP
cord-290952-tbsccwgx	272	18	were	be	VBD
cord-290952-tbsccwgx	272	19	chosen	choose	VBN
cord-290952-tbsccwgx	272	20	only	only	RB
cord-290952-tbsccwgx	272	21	to	to	IN
cord-290952-tbsccwgx	272	22	carried	carry	VBN
cord-290952-tbsccwgx	272	23	out	out	RP
cord-290952-tbsccwgx	272	24	the	the	DT
cord-290952-tbsccwgx	272	25	control	control	NN
cord-290952-tbsccwgx	272	26	strategies	strategy	NNS
cord-290952-tbsccwgx	272	27	developed	develop	VBN
cord-290952-tbsccwgx	272	28	in	in	IN
cord-290952-tbsccwgx	272	29	this	this	DT
cord-290952-tbsccwgx	272	30	study	study	NN
cord-290952-tbsccwgx	272	31	.	.	.
cord-290952-tbsccwgx	273	1	In	in	IN
cord-290952-tbsccwgx	273	2	Figure	figure	NN
cord-290952-tbsccwgx	273	3	9	9	CD
cord-290952-tbsccwgx	273	4	(	(	-LRB-
cord-290952-tbsccwgx	273	5	a	a	DT
cord-290952-tbsccwgx	273	6	-	-	HYPH
cord-290952-tbsccwgx	273	7	d	d	NN
cord-290952-tbsccwgx	273	8	)	)	-RRB-
cord-290952-tbsccwgx	273	9	,	,	,
cord-290952-tbsccwgx	273	10	we	-PRON-	PRP
cord-290952-tbsccwgx	273	11	have	have	VBP
cord-290952-tbsccwgx	273	12	depicted	depict	VBN
cord-290952-tbsccwgx	273	13	the	the	DT
cord-290952-tbsccwgx	273	14	impact	impact	NN
cord-290952-tbsccwgx	273	15	of	of	IN
cord-290952-tbsccwgx	273	16	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	273	17	control	control	NN
cord-290952-tbsccwgx	273	18	only	only	RB
cord-290952-tbsccwgx	273	19	and	and	CC
cord-290952-tbsccwgx	273	20	keeping	keep	VBG
cord-290952-tbsccwgx	273	21	the	the	DT
cord-290952-tbsccwgx	273	22	quarantine	quarantine	NN
cord-290952-tbsccwgx	273	23	or	or	CC
cord-290952-tbsccwgx	273	24	case	case	NN
cord-290952-tbsccwgx	273	25	tracing	trace	VBG
cord-290952-tbsccwgx	273	26	control	control	NN
cord-290952-tbsccwgx	273	27	inactive	inactive	JJ
cord-290952-tbsccwgx	273	28	(	(	-LRB-
cord-290952-tbsccwgx	273	29	i.e.	i.e.	FW
cord-290952-tbsccwgx	273	30	,	,	,
cord-290952-tbsccwgx	273	31	u	u	NN
cord-290952-tbsccwgx	273	32	1	1	CD
cord-290952-tbsccwgx	273	33	=	=	SYM
cord-290952-tbsccwgx	273	34	0	0	CD
cord-290952-tbsccwgx	273	35	and	and	CC
cord-290952-tbsccwgx	273	36	u	u	NN
cord-290952-tbsccwgx	273	37	2	2	CD
cord-290952-tbsccwgx	273	38	=	=	SYM
cord-290952-tbsccwgx	273	39	0	0	CD
cord-290952-tbsccwgx	273	40	)	)	-RRB-
cord-290952-tbsccwgx	273	41	.	.	.
cord-290952-tbsccwgx	274	1	The	the	DT
cord-290952-tbsccwgx	274	2	control	control	NN
cord-290952-tbsccwgx	274	3	profile	profile	NN
cord-290952-tbsccwgx	274	4	for	for	IN
cord-290952-tbsccwgx	274	5	this	this	DT
cord-290952-tbsccwgx	274	6	strategy	strategy	NN
cord-290952-tbsccwgx	274	7	is	be	VBZ
cord-290952-tbsccwgx	274	8	shown	show	VBN
cord-290952-tbsccwgx	274	9	in	in	IN
cord-290952-tbsccwgx	274	10	9	9	CD
cord-290952-tbsccwgx	274	11	(	(	-LRB-
cord-290952-tbsccwgx	274	12	e	e	NN
cord-290952-tbsccwgx	274	13	)	)	-RRB-
cord-290952-tbsccwgx	274	14	.	.	.
cord-290952-tbsccwgx	275	1	It	-PRON-	PRP
cord-290952-tbsccwgx	275	2	is	be	VBZ
cord-290952-tbsccwgx	275	3	observed	observe	VBN
cord-290952-tbsccwgx	275	4	that	that	IN
cord-290952-tbsccwgx	275	5	although	although	IN
cord-290952-tbsccwgx	275	6	the	the	DT
cord-290952-tbsccwgx	275	7	control	control	NN
cord-290952-tbsccwgx	275	8	u	u	NNP
cord-290952-tbsccwgx	275	9	2	2	CD
cord-290952-tbsccwgx	275	10	is	be	VBZ
cord-290952-tbsccwgx	275	11	kept	keep	VBN
cord-290952-tbsccwgx	275	12	100	100	CD
cord-290952-tbsccwgx	275	13	%	%	NN
cord-290952-tbsccwgx	275	14	for	for	IN
cord-290952-tbsccwgx	275	15	the	the	DT
cord-290952-tbsccwgx	275	16	first	first	JJ
cord-290952-tbsccwgx	275	17	70	70	CD
cord-290952-tbsccwgx	275	18	days	day	NNS
cord-290952-tbsccwgx	275	19	,	,	,
cord-290952-tbsccwgx	275	20	but	but	CC
cord-290952-tbsccwgx	275	21	still	still	RB
cord-290952-tbsccwgx	275	22	it	-PRON-	PRP
cord-290952-tbsccwgx	275	23	has	have	VBZ
cord-290952-tbsccwgx	275	24	no	no	DT
cord-290952-tbsccwgx	275	25	significant	significant	JJ
cord-290952-tbsccwgx	275	26	impact	impact	NN
cord-290952-tbsccwgx	275	27	on	on	IN
cord-290952-tbsccwgx	275	28	the	the	DT
cord-290952-tbsccwgx	275	29	different	different	JJ
cord-290952-tbsccwgx	275	30	infected	infect	VBN
cord-290952-tbsccwgx	275	31	individuals	individual	NNS
cord-290952-tbsccwgx	275	32	as	as	IN
cord-290952-tbsccwgx	275	33	seen	see	VBN
cord-290952-tbsccwgx	275	34	9	9	CD
cord-290952-tbsccwgx	275	35	(	(	-LRB-
cord-290952-tbsccwgx	275	36	a	a	LS
cord-290952-tbsccwgx	275	37	-	-	HYPH
cord-290952-tbsccwgx	275	38	d	d	NN
cord-290952-tbsccwgx	275	39	)	)	-RRB-
cord-290952-tbsccwgx	275	40	.	.	.
cord-290952-tbsccwgx	276	1	Thus	thus	RB
cord-290952-tbsccwgx	276	2	,	,	,
cord-290952-tbsccwgx	276	3	only	only	RB
cord-290952-tbsccwgx	276	4	the	the	DT
cord-290952-tbsccwgx	276	5	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	276	6	or	or	CC
cord-290952-tbsccwgx	276	7	self	self	NN
cord-290952-tbsccwgx	276	8	-	-	HYPH
cord-290952-tbsccwgx	276	9	isolation	isolation	NN
cord-290952-tbsccwgx	276	10	intervention	intervention	NN
cord-290952-tbsccwgx	276	11	is	be	VBZ
cord-290952-tbsccwgx	276	12	not	not	RB
cord-290952-tbsccwgx	276	13	enough	enough	JJ
cord-290952-tbsccwgx	276	14	for	for	IN
cord-290952-tbsccwgx	276	15	the	the	DT
cord-290952-tbsccwgx	276	16	control	control	NN
cord-290952-tbsccwgx	276	17	of	of	IN
cord-290952-tbsccwgx	276	18	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	276	19	pandemic	pandemic	NN
cord-290952-tbsccwgx	276	20	in	in	IN
cord-290952-tbsccwgx	276	21	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	276	22	.	.	.
cord-290952-tbsccwgx	277	1	The	the	DT
cord-290952-tbsccwgx	277	2	impact	impact	NN
cord-290952-tbsccwgx	277	3	of	of	IN
cord-290952-tbsccwgx	277	4	only	only	JJ
cord-290952-tbsccwgx	277	5	quarantine	quarantine	NN
cord-290952-tbsccwgx	277	6	optimal	optimal	JJ
cord-290952-tbsccwgx	277	7	control	control	NN
cord-290952-tbsccwgx	277	8	by	by	IN
cord-290952-tbsccwgx	277	9	keeping	keep	VBG
cord-290952-tbsccwgx	277	10	the	the	DT
cord-290952-tbsccwgx	277	11	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	277	12	control	control	NN
cord-290952-tbsccwgx	277	13	zero	zero	CD
cord-290952-tbsccwgx	277	14	(	(	-LRB-
cord-290952-tbsccwgx	277	15	i.e.	i.e.	FW
cord-290952-tbsccwgx	277	16	,	,	,
cord-290952-tbsccwgx	277	17	u	u	NN
cord-290952-tbsccwgx	277	18	1	1	CD
cord-290952-tbsccwgx	277	19	=	=	SYM
cord-290952-tbsccwgx	277	20	0	0	CD
cord-290952-tbsccwgx	277	21	and	and	CC
cord-290952-tbsccwgx	277	22	u	u	NN
cord-290952-tbsccwgx	277	23	2	2	CD
cord-290952-tbsccwgx	277	24	=	=	SYM
cord-290952-tbsccwgx	277	25	0	0	NFP
cord-290952-tbsccwgx	277	26	)	)	-RRB-
cord-290952-tbsccwgx	277	27	is	be	VBZ
cord-290952-tbsccwgx	277	28	shown	show	VBN
cord-290952-tbsccwgx	277	29	in	in	IN
cord-290952-tbsccwgx	277	30	10	10	CD
cord-290952-tbsccwgx	277	31	(	(	-LRB-
cord-290952-tbsccwgx	277	32	a	a	LS
cord-290952-tbsccwgx	277	33	-	-	HYPH
cord-290952-tbsccwgx	277	34	d	d	NN
cord-290952-tbsccwgx	277	35	)	)	-RRB-
cord-290952-tbsccwgx	277	36	.	.	.
cord-290952-tbsccwgx	278	1	The	the	DT
cord-290952-tbsccwgx	278	2	corresponding	corresponding	JJ
cord-290952-tbsccwgx	278	3	control	control	NN
cord-290952-tbsccwgx	278	4	profile	profile	NN
cord-290952-tbsccwgx	278	5	for	for	IN
cord-290952-tbsccwgx	278	6	this	this	DT
cord-290952-tbsccwgx	278	7	case	case	NN
cord-290952-tbsccwgx	278	8	is	be	VBZ
cord-290952-tbsccwgx	278	9	depicted	depict	VBN
cord-290952-tbsccwgx	278	10	in	in	IN
cord-290952-tbsccwgx	278	11	10	10	CD
cord-290952-tbsccwgx	278	12	(	(	-LRB-
cord-290952-tbsccwgx	278	13	e	e	NN
cord-290952-tbsccwgx	278	14	)	)	-RRB-
cord-290952-tbsccwgx	278	15	.	.	.
cord-290952-tbsccwgx	279	1	It	-PRON-	PRP
cord-290952-tbsccwgx	279	2	can	can	MD
cord-290952-tbsccwgx	279	3	be	be	VB
cord-290952-tbsccwgx	279	4	seen	see	VBN
cord-290952-tbsccwgx	279	5	that	that	IN
cord-290952-tbsccwgx	279	6	by	by	IN
cord-290952-tbsccwgx	279	7	maintaining	maintain	VBG
cord-290952-tbsccwgx	279	8	a	a	DT
cord-290952-tbsccwgx	279	9	strict	strict	JJ
cord-290952-tbsccwgx	279	10	quarantine	quarantine	NN
cord-290952-tbsccwgx	279	11	control	control	NN
cord-290952-tbsccwgx	279	12	is	be	VBZ
cord-290952-tbsccwgx	279	13	very	very	RB
cord-290952-tbsccwgx	279	14	effective	effective	JJ
cord-290952-tbsccwgx	279	15	in	in	IN
cord-290952-tbsccwgx	279	16	minimizing	minimize	VBG
cord-290952-tbsccwgx	279	17	the	the	DT
cord-290952-tbsccwgx	279	18	spread	spread	NN
cord-290952-tbsccwgx	279	19	of	of	IN
cord-290952-tbsccwgx	279	20	the	the	DT
cord-290952-tbsccwgx	279	21	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	279	22	infection	infection	NN
cord-290952-tbsccwgx	279	23	.	.	.
cord-290952-tbsccwgx	280	1	Finally	finally	RB
cord-290952-tbsccwgx	280	2	,	,	,
cord-290952-tbsccwgx	280	3	the	the	DT
cord-290952-tbsccwgx	280	4	impact	impact	NN
cord-290952-tbsccwgx	280	5	of	of	IN
cord-290952-tbsccwgx	280	6	both	both	DT
cord-290952-tbsccwgx	280	7	optimal	optimal	JJ
cord-290952-tbsccwgx	280	8	controls	control	NNS
cord-290952-tbsccwgx	280	9	on	on	IN
cord-290952-tbsccwgx	280	10	the	the	DT
cord-290952-tbsccwgx	280	11	dynamics	dynamic	NNS
cord-290952-tbsccwgx	280	12	of	of	IN
cord-290952-tbsccwgx	280	13	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	280	14	burden	burden	NN
cord-290952-tbsccwgx	280	15	is	be	VBZ
cord-290952-tbsccwgx	280	16	analyzed	analyze	VBN
cord-290952-tbsccwgx	280	17	.	.	.
cord-290952-tbsccwgx	281	1	The	the	DT
cord-290952-tbsccwgx	281	2	graphical	graphical	JJ
cord-290952-tbsccwgx	281	3	results	result	NNS
cord-290952-tbsccwgx	281	4	are	be	VBP
cord-290952-tbsccwgx	281	5	depicted	depict	VBN
cord-290952-tbsccwgx	281	6	in	in	IN
cord-290952-tbsccwgx	281	7	Figure	Figure	NNP
cord-290952-tbsccwgx	281	8	10	10	CD
cord-290952-tbsccwgx	281	9	(	(	-LRB-
cord-290952-tbsccwgx	281	10	a	a	DT
cord-290952-tbsccwgx	281	11	-	-	HYPH
cord-290952-tbsccwgx	281	12	d	d	NN
cord-290952-tbsccwgx	281	13	)	)	-RRB-
cord-290952-tbsccwgx	281	14	,	,	,
cord-290952-tbsccwgx	281	15	while	while	IN
cord-290952-tbsccwgx	281	16	the	the	DT
cord-290952-tbsccwgx	281	17	control	control	NN
cord-290952-tbsccwgx	281	18	profile	profile	NN
cord-290952-tbsccwgx	281	19	is	be	VBZ
cord-290952-tbsccwgx	281	20	shown	show	VBN
cord-290952-tbsccwgx	281	21	in	in	IN
cord-290952-tbsccwgx	281	22	10	10	CD
cord-290952-tbsccwgx	281	23	(	(	-LRB-
cord-290952-tbsccwgx	281	24	e	e	NN
cord-290952-tbsccwgx	281	25	)	)	-RRB-
cord-290952-tbsccwgx	281	26	.	.	.
cord-290952-tbsccwgx	282	1	It	-PRON-	PRP
cord-290952-tbsccwgx	282	2	can	can	MD
cord-290952-tbsccwgx	282	3	be	be	VB
cord-290952-tbsccwgx	282	4	observed	observe	VBN
cord-290952-tbsccwgx	282	5	from	from	IN
cord-290952-tbsccwgx	282	6	10	10	CD
cord-290952-tbsccwgx	282	7	(	(	-LRB-
cord-290952-tbsccwgx	282	8	a	a	LS
cord-290952-tbsccwgx	282	9	-	-	HYPH
cord-290952-tbsccwgx	282	10	d	d	NN
cord-290952-tbsccwgx	282	11	)	)	-RRB-
cord-290952-tbsccwgx	282	12	that	that	IN
cord-290952-tbsccwgx	282	13	the	the	DT
cord-290952-tbsccwgx	282	14	number	number	NN
cord-290952-tbsccwgx	282	15	of	of	IN
cord-290952-tbsccwgx	282	16	exposed	expose	VBN
cord-290952-tbsccwgx	282	17	,	,	,
cord-290952-tbsccwgx	282	18	symptomatically	symptomatically	RB
cord-290952-tbsccwgx	282	19	-	-	HYPH
cord-290952-tbsccwgx	282	20	infected	infect	VBN
cord-290952-tbsccwgx	282	21	,	,	,
cord-290952-tbsccwgx	282	22	asymptomatically	asymptomatically	RB
cord-290952-tbsccwgx	282	23	-	-	HYPH
cord-290952-tbsccwgx	282	24	infected	infect	VBN
cord-290952-tbsccwgx	282	25	,	,	,
cord-290952-tbsccwgx	282	26	and	and	CC
cord-290952-tbsccwgx	282	27	critically	critically	RB
cord-290952-tbsccwgx	282	28	-	-	HYPH
cord-290952-tbsccwgx	282	29	infected	infect	VBN
cord-290952-tbsccwgx	282	30	individuals	individual	NNS
cord-290952-tbsccwgx	282	31	are	be	VBP
cord-290952-tbsccwgx	282	32	decreasing	decrease	VBG
cord-290952-tbsccwgx	282	33	very	very	RB
cord-290952-tbsccwgx	282	34	significant	significant	JJ
cord-290952-tbsccwgx	282	35	when	when	WRB
cord-290952-tbsccwgx	282	36	the	the	DT
cord-290952-tbsccwgx	282	37	optimal	optimal	NN
cord-290952-tbsccwgx	282	38	quarantined	quarantine	VBN
cord-290952-tbsccwgx	282	39	and	and	CC
cord-290952-tbsccwgx	282	40	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	282	41	controls	control	NNS
cord-290952-tbsccwgx	282	42	are	be	VBP
cord-290952-tbsccwgx	282	43	applied	apply	VBN
cord-290952-tbsccwgx	282	44	rather	rather	RB
cord-290952-tbsccwgx	282	45	than	than	IN
cord-290952-tbsccwgx	282	46	the	the	DT
cord-290952-tbsccwgx	282	47	constant	constant	JJ
cord-290952-tbsccwgx	282	48	case	case	NN
cord-290952-tbsccwgx	282	49	.	.	.
cord-290952-tbsccwgx	283	1	The	the	DT
cord-290952-tbsccwgx	283	2	effectiveness	effectiveness	NN
cord-290952-tbsccwgx	283	3	can	can	MD
cord-290952-tbsccwgx	283	4	be	be	VB
cord-290952-tbsccwgx	283	5	viewed	view	VBN
cord-290952-tbsccwgx	283	6	from	from	IN
cord-290952-tbsccwgx	283	7	the	the	DT
cord-290952-tbsccwgx	283	8	difference	difference	NN
cord-290952-tbsccwgx	283	9	between	between	IN
cord-290952-tbsccwgx	283	10	the	the	DT
cord-290952-tbsccwgx	283	11	peaks	peak	NNS
cord-290952-tbsccwgx	283	12	of	of	IN
cord-290952-tbsccwgx	283	13	the	the	DT
cord-290952-tbsccwgx	283	14	two	two	CD
cord-290952-tbsccwgx	283	15	graphs	graph	NNS
cord-290952-tbsccwgx	283	16	.	.	.
cord-290952-tbsccwgx	284	1	From	from	IN
cord-290952-tbsccwgx	284	2	the	the	DT
cord-290952-tbsccwgx	284	3	control	control	NN
cord-290952-tbsccwgx	284	4	profile	profile	NN
cord-290952-tbsccwgx	284	5	depicted	depict	VBN
cord-290952-tbsccwgx	284	6	in	in	IN
cord-290952-tbsccwgx	284	7	Figure	Figure	NNP
cord-290952-tbsccwgx	284	8	10	10	CD
cord-290952-tbsccwgx	284	9	(	(	-LRB-
cord-290952-tbsccwgx	284	10	e	e	NN
cord-290952-tbsccwgx	284	11	)	)	-RRB-
cord-290952-tbsccwgx	284	12	,	,	,
cord-290952-tbsccwgx	284	13	it	-PRON-	PRP
cord-290952-tbsccwgx	284	14	can	can	MD
cord-290952-tbsccwgx	284	15	be	be	VB
cord-290952-tbsccwgx	284	16	seen	see	VBN
cord-290952-tbsccwgx	284	17	that	that	IN
cord-290952-tbsccwgx	284	18	the	the	DT
cord-290952-tbsccwgx	284	19	control	control	NN
cord-290952-tbsccwgx	284	20	u	u	NNP
cord-290952-tbsccwgx	284	21	1	1	CD
cord-290952-tbsccwgx	284	22	is	be	VBZ
cord-290952-tbsccwgx	284	23	kept	keep	VBN
cord-290952-tbsccwgx	284	24	initially	initially	RB
cord-290952-tbsccwgx	284	25	at	at	IN
cord-290952-tbsccwgx	284	26	100	100	CD
cord-290952-tbsccwgx	284	27	%	%	NN
cord-290952-tbsccwgx	284	28	for	for	IN
cord-290952-tbsccwgx	284	29	140	140	CD
cord-290952-tbsccwgx	284	30	days	day	NNS
cord-290952-tbsccwgx	284	31	and	and	CC
cord-290952-tbsccwgx	284	32	gradually	gradually	RB
cord-290952-tbsccwgx	284	33	reduces	reduce	VBZ
cord-290952-tbsccwgx	284	34	towards	towards	IN
cord-290952-tbsccwgx	284	35	the	the	DT
cord-290952-tbsccwgx	284	36	end	end	NN
cord-290952-tbsccwgx	284	37	of	of	IN
cord-290952-tbsccwgx	284	38	the	the	DT
cord-290952-tbsccwgx	284	39	intervention	intervention	NN
cord-290952-tbsccwgx	284	40	,	,	,
cord-290952-tbsccwgx	284	41	while	while	IN
cord-290952-tbsccwgx	284	42	the	the	DT
cord-290952-tbsccwgx	284	43	control	control	NN
cord-290952-tbsccwgx	284	44	u	u	NNP
cord-290952-tbsccwgx	284	45	2	2	CD
cord-290952-tbsccwgx	284	46	is	be	VBZ
cord-290952-tbsccwgx	284	47	set	set	VBN
cord-290952-tbsccwgx	284	48	to	to	IN
cord-290952-tbsccwgx	284	49	55	55	CD
cord-290952-tbsccwgx	284	50	%	%	NN
cord-290952-tbsccwgx	284	51	and	and	CC
cord-290952-tbsccwgx	284	52	then	then	RB
cord-290952-tbsccwgx	284	53	immediately	immediately	RB
cord-290952-tbsccwgx	284	54	increases	increase	VBZ
cord-290952-tbsccwgx	284	55	to	to	IN
cord-290952-tbsccwgx	284	56	90	90	CD
cord-290952-tbsccwgx	284	57	%	%	NN
cord-290952-tbsccwgx	284	58	in	in	IN
cord-290952-tbsccwgx	284	59	the	the	DT
cord-290952-tbsccwgx	284	60	initial	initial	JJ
cord-290952-tbsccwgx	284	61	days	day	NNS
cord-290952-tbsccwgx	284	62	and	and	CC
cord-290952-tbsccwgx	284	63	then	then	RB
cord-290952-tbsccwgx	284	64	gradually	gradually	RB
cord-290952-tbsccwgx	284	65	reduced	reduce	VBN
cord-290952-tbsccwgx	284	66	during	during	IN
cord-290952-tbsccwgx	284	67	the	the	DT
cord-290952-tbsccwgx	284	68	rest	rest	NN
cord-290952-tbsccwgx	284	69	of	of	IN
cord-290952-tbsccwgx	284	70	the	the	DT
cord-290952-tbsccwgx	284	71	intervention	intervention	NN
cord-290952-tbsccwgx	284	72	.	.	.
cord-290952-tbsccwgx	284	73	 	 	_SP
cord-290952-tbsccwgx	285	1	The	the	DT
cord-290952-tbsccwgx	285	2	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	285	3	pandemic	pandemic	NN
cord-290952-tbsccwgx	285	4	has	have	VBZ
cord-290952-tbsccwgx	285	5	rapidly	rapidly	RB
cord-290952-tbsccwgx	285	6	spread	spread	VBN
cord-290952-tbsccwgx	285	7	out	out	RP
cord-290952-tbsccwgx	285	8	to	to	IN
cord-290952-tbsccwgx	285	9	most	most	JJS
cord-290952-tbsccwgx	285	10	of	of	IN
cord-290952-tbsccwgx	285	11	the	the	DT
cord-290952-tbsccwgx	285	12	regions	region	NNS
cord-290952-tbsccwgx	285	13	of	of	IN
cord-290952-tbsccwgx	285	14	the	the	DT
cord-290952-tbsccwgx	285	15	world	world	NN
cord-290952-tbsccwgx	285	16	and	and	CC
cord-290952-tbsccwgx	285	17	has	have	VBZ
cord-290952-tbsccwgx	285	18	severe	severe	JJ
cord-290952-tbsccwgx	285	19	public	public	JJ
cord-290952-tbsccwgx	285	20	health	health	NN
cord-290952-tbsccwgx	285	21	and	and	CC
cord-290952-tbsccwgx	285	22	socio	socio	JJ
cord-290952-tbsccwgx	285	23	-	-	HYPH
cord-290952-tbsccwgx	285	24	economic	economic	JJ
cord-290952-tbsccwgx	285	25	burden	burden	NN
cord-290952-tbsccwgx	285	26	in	in	IN
cord-290952-tbsccwgx	285	27	developed	developed	JJ
cord-290952-tbsccwgx	285	28	and	and	CC
cord-290952-tbsccwgx	285	29	devolving	devolve	VBG
cord-290952-tbsccwgx	285	30	countries	country	NNS
cord-290952-tbsccwgx	285	31	including	include	VBG
cord-290952-tbsccwgx	285	32	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	285	33	.	.	.
cord-290952-tbsccwgx	286	1	The	the	DT
cord-290952-tbsccwgx	286	2	number	number	NN
cord-290952-tbsccwgx	286	3	of	of	IN
cord-290952-tbsccwgx	286	4	reported	report	VBN
cord-290952-tbsccwgx	286	5	cases	case	NNS
cord-290952-tbsccwgx	286	6	in	in	IN
cord-290952-tbsccwgx	286	7	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	286	8	is	be	VBZ
cord-290952-tbsccwgx	286	9	increasing	increase	VBG
cord-290952-tbsccwgx	286	10	and	and	CC
cord-290952-tbsccwgx	286	11	more	more	JJR
cord-290952-tbsccwgx	286	12	than	than	IN
cord-290952-tbsccwgx	286	13	100,000	100,000	CD
cord-290952-tbsccwgx	286	14	confirmed	confirm	VBN
cord-290952-tbsccwgx	286	15	cases	case	NNS
cord-290952-tbsccwgx	286	16	have	have	VBP
cord-290952-tbsccwgx	286	17	been	be	VBN
cord-290952-tbsccwgx	286	18	reported	report	VBN
cord-290952-tbsccwgx	286	19	till	till	IN
cord-290952-tbsccwgx	286	20	05	05	CD
cord-290952-tbsccwgx	286	21	June	June	NNP
cord-290952-tbsccwgx	286	22	2020	2020	CD
cord-290952-tbsccwgx	286	23	.	.	.
cord-290952-tbsccwgx	287	1	In	in	IN
cord-290952-tbsccwgx	287	2	the	the	DT
cord-290952-tbsccwgx	287	3	absence	absence	NN
cord-290952-tbsccwgx	287	4	of	of	IN
cord-290952-tbsccwgx	287	5	a	a	DT
cord-290952-tbsccwgx	287	6	safe	safe	JJ
cord-290952-tbsccwgx	287	7	and	and	CC
cord-290952-tbsccwgx	287	8	effective	effective	JJ
cord-290952-tbsccwgx	287	9	vaccine	vaccine	NN
cord-290952-tbsccwgx	287	10	or	or	CC
cord-290952-tbsccwgx	287	11	antiviral	antiviral	JJ
cord-290952-tbsccwgx	287	12	,	,	,
cord-290952-tbsccwgx	287	13	the	the	DT
cord-290952-tbsccwgx	287	14	whole	whole	JJ
cord-290952-tbsccwgx	287	15	human	human	NN
cord-290952-tbsccwgx	287	16	's	's	POS
cord-290952-tbsccwgx	287	17	community	community	NN
cord-290952-tbsccwgx	287	18	is	be	VBZ
cord-290952-tbsccwgx	287	19	being	be	VBG
cord-290952-tbsccwgx	287	20	focused	focus	VBN
cord-290952-tbsccwgx	287	21	on	on	IN
cord-290952-tbsccwgx	287	22	the	the	DT
cord-290952-tbsccwgx	287	23	use	use	NN
cord-290952-tbsccwgx	287	24	of	of	IN
cord-290952-tbsccwgx	287	25	non	non	JJ
cord-290952-tbsccwgx	287	26	-	-	JJ
cord-290952-tbsccwgx	287	27	pharmaceutical	pharmaceutical	JJ
cord-290952-tbsccwgx	287	28	interventions	intervention	NNS
cord-290952-tbsccwgx	287	29	against	against	IN
cord-290952-tbsccwgx	287	30	the	the	DT
cord-290952-tbsccwgx	287	31	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	287	32	pandemic	pandemic	NN
cord-290952-tbsccwgx	287	33	.	.	.
cord-290952-tbsccwgx	288	1	In	in	IN
cord-290952-tbsccwgx	288	2	this	this	DT
cord-290952-tbsccwgx	288	3	study	study	NN
cord-290952-tbsccwgx	288	4	,	,	,
cord-290952-tbsccwgx	288	5	we	-PRON-	PRP
cord-290952-tbsccwgx	288	6	formulated	formulate	VBD
cord-290952-tbsccwgx	288	7	a	a	DT
cord-290952-tbsccwgx	288	8	mathematical	mathematical	JJ
cord-290952-tbsccwgx	288	9	model	model	NN
cord-290952-tbsccwgx	288	10	in	in	IN
cord-290952-tbsccwgx	288	11	order	order	NN
cord-290952-tbsccwgx	288	12	to	to	TO
cord-290952-tbsccwgx	288	13	study	study	VB
cord-290952-tbsccwgx	288	14	the	the	DT
cord-290952-tbsccwgx	288	15	dynamics	dynamic	NNS
cord-290952-tbsccwgx	288	16	of	of	IN
cord-290952-tbsccwgx	288	17	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	288	18	pandemic	pandemic	NN
cord-290952-tbsccwgx	288	19	in	in	IN
cord-290952-tbsccwgx	288	20	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	288	21	,	,	,
cord-290952-tbsccwgx	288	22	and	and	CC
cord-290952-tbsccwgx	288	23	used	use	VBD
cord-290952-tbsccwgx	288	24	it	-PRON-	PRP
cord-290952-tbsccwgx	288	25	to	to	TO
cord-290952-tbsccwgx	288	26	assess	assess	VB
cord-290952-tbsccwgx	288	27	the	the	DT
cord-290952-tbsccwgx	288	28	community	community	NN
cord-290952-tbsccwgx	288	29	-	-	HYPH
cord-290952-tbsccwgx	288	30	wide	wide	JJ
cord-290952-tbsccwgx	288	31	impact	impact	NN
cord-290952-tbsccwgx	288	32	of	of	IN
cord-290952-tbsccwgx	288	33	the	the	DT
cord-290952-tbsccwgx	288	34	various	various	JJ
cord-290952-tbsccwgx	288	35	control	control	NN
cord-290952-tbsccwgx	288	36	and	and	CC
cord-290952-tbsccwgx	288	37	mitigation	mitigation	NN
cord-290952-tbsccwgx	288	38	strategies	strategy	NNS
cord-290952-tbsccwgx	288	39	.	.	.
cord-290952-tbsccwgx	289	1	Initially	initially	RB
cord-290952-tbsccwgx	289	2	,	,	,
cord-290952-tbsccwgx	289	3	we	-PRON-	PRP
cord-290952-tbsccwgx	289	4	developed	develop	VBD
cord-290952-tbsccwgx	289	5	the	the	DT
cord-290952-tbsccwgx	289	6	model	model	NN
cord-290952-tbsccwgx	289	7	and	and	CC
cord-290952-tbsccwgx	289	8	presented	present	VBD
cord-290952-tbsccwgx	289	9	some	some	DT
cord-290952-tbsccwgx	289	10	mathematical	mathematical	JJ
cord-290952-tbsccwgx	289	11	analysis	analysis	NN
cord-290952-tbsccwgx	289	12	,	,	,
cord-290952-tbsccwgx	289	13	including	include	VBG
cord-290952-tbsccwgx	289	14	positivity	positivity	NN
cord-290952-tbsccwgx	289	15	and	and	CC
cord-290952-tbsccwgx	289	16	stability	stability	NN
cord-290952-tbsccwgx	289	17	results	result	NNS
cord-290952-tbsccwgx	289	18	of	of	IN
cord-290952-tbsccwgx	289	19	the	the	DT
cord-290952-tbsccwgx	289	20	disease	disease	NN
cord-290952-tbsccwgx	289	21	-	-	HYPH
cord-290952-tbsccwgx	289	22	free	free	JJ
cord-290952-tbsccwgx	289	23	equilibrium	equilibrium	NN
cord-290952-tbsccwgx	289	24	.	.	.
cord-290952-tbsccwgx	290	1	It	-PRON-	PRP
cord-290952-tbsccwgx	290	2	is	be	VBZ
cord-290952-tbsccwgx	290	3	proven	prove	VBN
cord-290952-tbsccwgx	290	4	that	that	IN
cord-290952-tbsccwgx	290	5	the	the	DT
cord-290952-tbsccwgx	290	6	disease	disease	NN
cord-290952-tbsccwgx	290	7	-	-	HYPH
cord-290952-tbsccwgx	290	8	free	free	JJ
cord-290952-tbsccwgx	290	9	equilibrium	equilibrium	NN
cord-290952-tbsccwgx	290	10	is	be	VBZ
cord-290952-tbsccwgx	290	11	stable	stable	JJ
cord-290952-tbsccwgx	290	12	both	both	CC
cord-290952-tbsccwgx	290	13	locally	locally	RB
cord-290952-tbsccwgx	290	14	and	and	CC
cord-290952-tbsccwgx	290	15	globally	globally	RB
cord-290952-tbsccwgx	290	16	when	when	WRB
cord-290952-tbsccwgx	290	17	R	r	NN
cord-290952-tbsccwgx	290	18	0	0	CD
cord-290952-tbsccwgx	290	19	<	<	XX
cord-290952-tbsccwgx	290	20	1	1	CD
cord-290952-tbsccwgx	290	21	.	.	.
cord-290952-tbsccwgx	291	1	The	the	DT
cord-290952-tbsccwgx	291	2	model	model	NN
cord-290952-tbsccwgx	291	3	is	be	VBZ
cord-290952-tbsccwgx	291	4	parameterized	parameterize	VBN
cord-290952-tbsccwgx	291	5	from	from	IN
cord-290952-tbsccwgx	291	6	the	the	DT
cord-290952-tbsccwgx	291	7	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	291	8	confirmed	confirm	VBN
cord-290952-tbsccwgx	291	9	cases	case	NNS
cord-290952-tbsccwgx	291	10	reported	report	VBN
cord-290952-tbsccwgx	291	11	till	till	IN
cord-290952-tbsccwgx	291	12	May	May	NNP
cord-290952-tbsccwgx	291	13	28	28	CD
cord-290952-tbsccwgx	291	14	,	,	,
cord-290952-tbsccwgx	291	15	2020	2020	CD
cord-290952-tbsccwgx	291	16	in	in	IN
cord-290952-tbsccwgx	291	17	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	291	18	while	while	IN
cord-290952-tbsccwgx	291	19	some	some	DT
cord-290952-tbsccwgx	291	20	parameters	parameter	NNS
cord-290952-tbsccwgx	291	21	are	be	VBP
cord-290952-tbsccwgx	291	22	estimated	estimate	VBN
cord-290952-tbsccwgx	291	23	from	from	IN
cord-290952-tbsccwgx	291	24	literature	literature	NN
cord-290952-tbsccwgx	291	25	.	.	.
cord-290952-tbsccwgx	292	1	The	the	DT
cord-290952-tbsccwgx	292	2	findings	finding	NNS
cord-290952-tbsccwgx	292	3	show	show	VBP
cord-290952-tbsccwgx	292	4	that	that	IN
cord-290952-tbsccwgx	292	5	the	the	DT
cord-290952-tbsccwgx	292	6	model	model	NN
cord-290952-tbsccwgx	292	7	predicted	predict	VBD
cord-290952-tbsccwgx	292	8	infected	infected	JJ
cord-290952-tbsccwgx	292	9	curve	curve	NN
cord-290952-tbsccwgx	292	10	is	be	VBZ
cord-290952-tbsccwgx	292	11	in	in	IN
cord-290952-tbsccwgx	292	12	good	good	JJ
cord-290952-tbsccwgx	292	13	agreement	agreement	NN
cord-290952-tbsccwgx	292	14	to	to	IN
cord-290952-tbsccwgx	292	15	the	the	DT
cord-290952-tbsccwgx	292	16	real	real	JJ
cord-290952-tbsccwgx	292	17	infected	infected	JJ
cord-290952-tbsccwgx	292	18	cases	case	NNS
cord-290952-tbsccwgx	292	19	.	.	.
cord-290952-tbsccwgx	293	1	The	the	DT
cord-290952-tbsccwgx	293	2	estimated	estimate	VBN
cord-290952-tbsccwgx	293	3	numerical	numerical	JJ
cord-290952-tbsccwgx	293	4	value	value	NN
cord-290952-tbsccwgx	293	5	of	of	IN
cord-290952-tbsccwgx	293	6	the	the	DT
cord-290952-tbsccwgx	293	7	basic	basic	JJ
cord-290952-tbsccwgx	293	8	reproduction	reproduction	NN
cord-290952-tbsccwgx	293	9	is	be	VBZ
cord-290952-tbsccwgx	293	10	obtained	obtain	VBN
cord-290952-tbsccwgx	293	11	as	as	IN
cord-290952-tbsccwgx	293	12	R	r	NN
cord-290952-tbsccwgx	293	13	0	0	CD
cord-290952-tbsccwgx	293	14	≈	≈	CD
cord-290952-tbsccwgx	293	15	1.87	1.87	CD
cord-290952-tbsccwgx	293	16	showing	show	VBG
cord-290952-tbsccwgx	293	17	the	the	DT
cord-290952-tbsccwgx	293	18	alarming	alarming	JJ
cord-290952-tbsccwgx	293	19	situation	situation	NN
cord-290952-tbsccwgx	293	20	of	of	IN
cord-290952-tbsccwgx	293	21	the	the	DT
cord-290952-tbsccwgx	293	22	pandemic	pandemic	NN
cord-290952-tbsccwgx	293	23	in	in	IN
cord-290952-tbsccwgx	293	24	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	293	25	.	.	.
cord-290952-tbsccwgx	294	1	The	the	DT
cord-290952-tbsccwgx	294	2	control	control	NN
cord-290952-tbsccwgx	294	3	and	and	CC
cord-290952-tbsccwgx	294	4	mitigation	mitigation	NN
cord-290952-tbsccwgx	294	5	strategies	strategy	NNS
cord-290952-tbsccwgx	294	6	should	should	MD
cord-290952-tbsccwgx	294	7	be	be	VB
cord-290952-tbsccwgx	294	8	implemented	implement	VBN
cord-290952-tbsccwgx	294	9	to	to	TO
cord-290952-tbsccwgx	294	10	bring	bring	VB
cord-290952-tbsccwgx	294	11	the	the	DT
cord-290952-tbsccwgx	294	12	threshold	threshold	NN
cord-290952-tbsccwgx	294	13	quantity	quantity	NN
cord-290952-tbsccwgx	294	14	R	r	NN
cord-290952-tbsccwgx	294	15	0	0	CD
cord-290952-tbsccwgx	294	16	to	to	IN
cord-290952-tbsccwgx	294	17	a	a	DT
cord-290952-tbsccwgx	294	18	value	value	NN
cord-290952-tbsccwgx	294	19	less	less	JJR
cord-290952-tbsccwgx	294	20	than	than	IN
cord-290952-tbsccwgx	294	21	unity	unity	NN
cord-290952-tbsccwgx	294	22	.	.	.
cord-290952-tbsccwgx	295	1	After	after	IN
cord-290952-tbsccwgx	295	2	the	the	DT
cord-290952-tbsccwgx	295	3	estimation	estimation	NN
cord-290952-tbsccwgx	295	4	of	of	IN
cord-290952-tbsccwgx	295	5	model	model	NN
cord-290952-tbsccwgx	295	6	parameters	parameter	NNS
cord-290952-tbsccwgx	295	7	,	,	,
cord-290952-tbsccwgx	295	8	we	-PRON-	PRP
cord-290952-tbsccwgx	295	9	simulated	simulate	VBD
cord-290952-tbsccwgx	295	10	the	the	DT
cord-290952-tbsccwgx	295	11	model	model	NN
cord-290952-tbsccwgx	295	12	to	to	TO
cord-290952-tbsccwgx	295	13	explore	explore	VB
cord-290952-tbsccwgx	295	14	the	the	DT
cord-290952-tbsccwgx	295	15	effectiveness	effectiveness	NN
cord-290952-tbsccwgx	295	16	of	of	IN
cord-290952-tbsccwgx	295	17	various	various	JJ
cord-290952-tbsccwgx	295	18	control	control	NN
cord-290952-tbsccwgx	295	19	strategies	strategy	NNS
cord-290952-tbsccwgx	295	20	implemented	implement	VBN
cord-290952-tbsccwgx	295	21	in	in	IN
cord-290952-tbsccwgx	295	22	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	295	23	.	.	.
cord-290952-tbsccwgx	296	1	Firstly	firstly	RB
cord-290952-tbsccwgx	296	2	,	,	,
cord-290952-tbsccwgx	296	3	we	-PRON-	PRP
cord-290952-tbsccwgx	296	4	presented	present	VBD
cord-290952-tbsccwgx	296	5	the	the	DT
cord-290952-tbsccwgx	296	6	impact	impact	NN
cord-290952-tbsccwgx	296	7	of	of	IN
cord-290952-tbsccwgx	296	8	three	three	CD
cord-290952-tbsccwgx	296	9	effectiveness	effectiveness	NN
cord-290952-tbsccwgx	296	10	levels	level	NNS
cord-290952-tbsccwgx	296	11	(	(	-LRB-
cord-290952-tbsccwgx	296	12	i.e.	i.e.	FW
cord-290952-tbsccwgx	296	13	,	,	,
cord-290952-tbsccwgx	296	14	low	low	JJ
cord-290952-tbsccwgx	296	15	or	or	CC
cord-290952-tbsccwgx	296	16	mild	mild	JJ
cord-290952-tbsccwgx	296	17	,	,	,
cord-290952-tbsccwgx	296	18	moderate	moderate	JJ
cord-290952-tbsccwgx	296	19	and	and	CC
cord-290952-tbsccwgx	296	20	strict	strict	JJ
cord-290952-tbsccwgx	296	21	)	)	-RRB-
cord-290952-tbsccwgx	296	22	of	of	IN
cord-290952-tbsccwgx	296	23	social	social	JJ
cord-290952-tbsccwgx	296	24	-	-	HYPH
cord-290952-tbsccwgx	296	25	distancing	distancing	NN
cord-290952-tbsccwgx	296	26	in	in	IN
cord-290952-tbsccwgx	296	27	curtailing	curtail	VBG
cord-290952-tbsccwgx	296	28	the	the	DT
cord-290952-tbsccwgx	296	29	burden	burden	NN
cord-290952-tbsccwgx	296	30	of	of	IN
cord-290952-tbsccwgx	296	31	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	296	32	.	.	.
cord-290952-tbsccwgx	297	1	The	the	DT
cord-290952-tbsccwgx	297	2	simulation	simulation	NN
cord-290952-tbsccwgx	297	3	results	result	NNS
cord-290952-tbsccwgx	297	4	revealed	reveal	VBD
cord-290952-tbsccwgx	297	5	that	that	IN
cord-290952-tbsccwgx	297	6	although	although	IN
cord-290952-tbsccwgx	297	7	the	the	DT
cord-290952-tbsccwgx	297	8	implementation	implementation	NN
cord-290952-tbsccwgx	297	9	of	of	IN
cord-290952-tbsccwgx	297	10	mild	mild	JJ
cord-290952-tbsccwgx	297	11	social	social	JJ
cord-290952-tbsccwgx	297	12	-	-	HYPH
cord-290952-tbsccwgx	297	13	distancing	distancing	NN
cord-290952-tbsccwgx	297	14	decreased	decrease	VBD
cord-290952-tbsccwgx	297	15	the	the	DT
cord-290952-tbsccwgx	297	16	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	297	17	burden	burden	NN
cord-290952-tbsccwgx	297	18	significantly	significantly	RB
cord-290952-tbsccwgx	297	19	(	(	-LRB-
cord-290952-tbsccwgx	297	20	as	as	IN
cord-290952-tbsccwgx	297	21	measured	measure	VBN
cord-290952-tbsccwgx	297	22	in	in	IN
cord-290952-tbsccwgx	297	23	terms	term	NNS
cord-290952-tbsccwgx	297	24	of	of	IN
cord-290952-tbsccwgx	297	25	shifting	shift	VBG
cord-290952-tbsccwgx	297	26	and	and	CC
cord-290952-tbsccwgx	297	27	lowering	lower	VBG
cord-290952-tbsccwgx	297	28	the	the	DT
cord-290952-tbsccwgx	297	29	peak	peak	NN
cord-290952-tbsccwgx	297	30	of	of	IN
cord-290952-tbsccwgx	297	31	daily	daily	JJ
cord-290952-tbsccwgx	297	32	infected	infected	JJ
cord-290952-tbsccwgx	297	33	cases	case	NNS
cord-290952-tbsccwgx	297	34	)	)	-RRB-
cord-290952-tbsccwgx	297	35	,	,	,
cord-290952-tbsccwgx	297	36	still	still	RB
cord-290952-tbsccwgx	297	37	a	a	DT
cord-290952-tbsccwgx	297	38	strict	strict	JJ
cord-290952-tbsccwgx	297	39	social	social	JJ
cord-290952-tbsccwgx	297	40	-	-	HYPH
cord-290952-tbsccwgx	297	41	distancing	distance	VBG
cord-290952-tbsccwgx	297	42	measures	measure	NNS
cord-290952-tbsccwgx	297	43	should	should	MD
cord-290952-tbsccwgx	297	44	be	be	VB
cord-290952-tbsccwgx	297	45	implemented	implement	VBN
cord-290952-tbsccwgx	297	46	and	and	CC
cord-290952-tbsccwgx	297	47	maintained	maintain	VBN
cord-290952-tbsccwgx	297	48	for	for	IN
cord-290952-tbsccwgx	297	49	an	an	DT
cord-290952-tbsccwgx	297	50	extended	extended	JJ
cord-290952-tbsccwgx	297	51	period	period	NN
cord-290952-tbsccwgx	297	52	of	of	IN
cord-290952-tbsccwgx	297	53	time	time	NN
cord-290952-tbsccwgx	297	54	to	to	TO
cord-290952-tbsccwgx	297	55	avoid	avoid	VB
cord-290952-tbsccwgx	297	56	a	a	DT
cord-290952-tbsccwgx	297	57	significant	significant	JJ
cord-290952-tbsccwgx	297	58	outbreak	outbreak	NN
cord-290952-tbsccwgx	297	59	in	in	IN
cord-290952-tbsccwgx	297	60	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	297	61	.	.	.
cord-290952-tbsccwgx	298	1	Further	further	RB
cord-290952-tbsccwgx	298	2	,	,	,
cord-290952-tbsccwgx	298	3	we	-PRON-	PRP
cord-290952-tbsccwgx	298	4	simulated	simulate	VBD
cord-290952-tbsccwgx	298	5	the	the	DT
cord-290952-tbsccwgx	298	6	model	model	NN
cord-290952-tbsccwgx	298	7	to	to	TO
cord-290952-tbsccwgx	298	8	assess	assess	VB
cord-290952-tbsccwgx	298	9	the	the	DT
cord-290952-tbsccwgx	298	10	effect	effect	NN
cord-290952-tbsccwgx	298	11	of	of	IN
cord-290952-tbsccwgx	298	12	various	various	JJ
cord-290952-tbsccwgx	298	13	levels	level	NNS
cord-290952-tbsccwgx	298	14	of	of	IN
cord-290952-tbsccwgx	298	15	quarantine	quarantine	NN
cord-290952-tbsccwgx	298	16	and	and	CC
cord-290952-tbsccwgx	298	17	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	298	18	or	or	CC
cord-290952-tbsccwgx	298	19	self	self	NN
cord-290952-tbsccwgx	298	20	-	-	HYPH
cord-290952-tbsccwgx	298	21	isolation	isolation	NN
cord-290952-tbsccwgx	298	22	interventions	intervention	NNS
cord-290952-tbsccwgx	298	23	.	.	.
cord-290952-tbsccwgx	299	1	With	with	IN
cord-290952-tbsccwgx	299	2	a	a	DT
cord-290952-tbsccwgx	299	3	highly	highly	RB
cord-290952-tbsccwgx	299	4	-	-	HYPH
cord-290952-tbsccwgx	299	5	effective	effective	JJ
cord-290952-tbsccwgx	299	6	quarantine	quarantine	NN
cord-290952-tbsccwgx	299	7	intervention	intervention	NN
cord-290952-tbsccwgx	299	8	(	(	-LRB-
cord-290952-tbsccwgx	299	9	enhanced	enhance	VBN
cord-290952-tbsccwgx	299	10	by	by	IN
cord-290952-tbsccwgx	299	11	70	70	CD
cord-290952-tbsccwgx	299	12	%	%	NN
cord-290952-tbsccwgx	299	13	to	to	IN
cord-290952-tbsccwgx	299	14	its	-PRON-	PRP$
cord-290952-tbsccwgx	299	15	baseline	baseline	JJ
cord-290952-tbsccwgx	299	16	value	value	NN
cord-290952-tbsccwgx	299	17	)	)	-RRB-
cord-290952-tbsccwgx	299	18	a	a	DT
cord-290952-tbsccwgx	299	19	dramatic	dramatic	JJ
cord-290952-tbsccwgx	299	20	reduction	reduction	NN
cord-290952-tbsccwgx	299	21	in	in	IN
cord-290952-tbsccwgx	299	22	the	the	DT
cord-290952-tbsccwgx	299	23	pandemic	pandemic	NN
cord-290952-tbsccwgx	299	24	peak	peak	NN
cord-290952-tbsccwgx	299	25	was	be	VBD
cord-290952-tbsccwgx	299	26	observed	observe	VBN
cord-290952-tbsccwgx	299	27	.	.	.
cord-290952-tbsccwgx	300	1	On	on	IN
cord-290952-tbsccwgx	300	2	the	the	DT
cord-290952-tbsccwgx	300	3	other	other	JJ
cord-290952-tbsccwgx	300	4	hand	hand	NN
cord-290952-tbsccwgx	300	5	increase	increase	NN
cord-290952-tbsccwgx	300	6	of	of	IN
cord-290952-tbsccwgx	300	7	hospitalization	hospitalization	NN
cord-290952-tbsccwgx	300	8	intervention	intervention	NN
cord-290952-tbsccwgx	300	9	of	of	IN
cord-290952-tbsccwgx	300	10	confirmed	confirm	VBN
cord-290952-tbsccwgx	300	11	cases	case	NNS
cord-290952-tbsccwgx	300	12	had	have	VBD
cord-290952-tbsccwgx	300	13	no	no	DT
cord-290952-tbsccwgx	300	14	significant	significant	JJ
cord-290952-tbsccwgx	300	15	influence	influence	NN
cord-290952-tbsccwgx	300	16	on	on	IN
cord-290952-tbsccwgx	300	17	the	the	DT
cord-290952-tbsccwgx	300	18	pandemic	pandemic	NN
cord-290952-tbsccwgx	300	19	burden	burden	NN
cord-290952-tbsccwgx	300	20	.	.	.
cord-290952-tbsccwgx	301	1	Finally	finally	RB
cord-290952-tbsccwgx	301	2	,	,	,
cord-290952-tbsccwgx	301	3	the	the	DT
cord-290952-tbsccwgx	301	4	proposed	propose	VBN
cord-290952-tbsccwgx	301	5	COVID-19	covid-19	NN
cord-290952-tbsccwgx	301	6	model	model	NN
cord-290952-tbsccwgx	301	7	is	be	VBZ
cord-290952-tbsccwgx	301	8	reformulated	reformulate	VBN
cord-290952-tbsccwgx	301	9	by	by	IN
cord-290952-tbsccwgx	301	10	the	the	DT
cord-290952-tbsccwgx	301	11	inclusion	inclusion	NN
cord-290952-tbsccwgx	301	12	of	of	IN
cord-290952-tbsccwgx	301	13	two	two	CD
cord-290952-tbsccwgx	301	14	time	time	NN
cord-290952-tbsccwgx	301	15	-	-	HYPH
cord-290952-tbsccwgx	301	16	dependent	dependent	JJ
cord-290952-tbsccwgx	301	17	control	control	NN
cord-290952-tbsccwgx	301	18	variables	variable	NNS
cord-290952-tbsccwgx	301	19	in	in	IN
cord-290952-tbsccwgx	301	20	order	order	NN
cord-290952-tbsccwgx	301	21	to	to	TO
cord-290952-tbsccwgx	301	22	assess	assess	VB
cord-290952-tbsccwgx	301	23	the	the	DT
cord-290952-tbsccwgx	301	24	impact	impact	NN
cord-290952-tbsccwgx	301	25	of	of	IN
cord-290952-tbsccwgx	301	26	optimal	optimal	JJ
cord-290952-tbsccwgx	301	27	control	control	NN
cord-290952-tbsccwgx	301	28	measures	measure	NNS
cord-290952-tbsccwgx	301	29	on	on	IN
cord-290952-tbsccwgx	301	30	disease	disease	NN
cord-290952-tbsccwgx	301	31	dynamics	dynamic	NNS
cord-290952-tbsccwgx	301	32	.	.	.
cord-290952-tbsccwgx	302	1	We	-PRON-	PRP
cord-290952-tbsccwgx	302	2	simulated	simulate	VBD
cord-290952-tbsccwgx	302	3	the	the	DT
cord-290952-tbsccwgx	302	4	control	control	NN
cord-290952-tbsccwgx	302	5	model	model	NN
cord-290952-tbsccwgx	302	6	and	and	CC
cord-290952-tbsccwgx	302	7	compared	compare	VBD
cord-290952-tbsccwgx	302	8	the	the	DT
cord-290952-tbsccwgx	302	9	effect	effect	NN
cord-290952-tbsccwgx	302	10	of	of	IN
cord-290952-tbsccwgx	302	11	constant	constant	JJ
cord-290952-tbsccwgx	302	12	and	and	CC
cord-290952-tbsccwgx	302	13	optimal	optimal	JJ
cord-290952-tbsccwgx	302	14	time	time	NN
cord-290952-tbsccwgx	302	15	-	-	HYPH
cord-290952-tbsccwgx	302	16	dependent	dependent	JJ
cord-290952-tbsccwgx	302	17	control	control	NN
cord-290952-tbsccwgx	302	18	measures	measure	NNS
cord-290952-tbsccwgx	302	19	on	on	IN
cord-290952-tbsccwgx	302	20	disease	disease	NN
cord-290952-tbsccwgx	302	21	burden	burden	NN
cord-290952-tbsccwgx	302	22	.	.	.
cord-290952-tbsccwgx	303	1	It	-PRON-	PRP
cord-290952-tbsccwgx	303	2	is	be	VBZ
cord-290952-tbsccwgx	303	3	observed	observe	VBN
cord-290952-tbsccwgx	303	4	from	from	IN
cord-290952-tbsccwgx	303	5	the	the	DT
cord-290952-tbsccwgx	303	6	simulation	simulation	NN
cord-290952-tbsccwgx	303	7	results	result	NNS
cord-290952-tbsccwgx	303	8	of	of	IN
cord-290952-tbsccwgx	303	9	the	the	DT
cord-290952-tbsccwgx	303	10	control	control	NN
cord-290952-tbsccwgx	303	11	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	303	12	model	model	NN
cord-290952-tbsccwgx	303	13	that	that	IN
cord-290952-tbsccwgx	303	14	the	the	DT
cord-290952-tbsccwgx	303	15	infected	infect	VBN
cord-290952-tbsccwgx	303	16	individuals	individual	NNS
cord-290952-tbsccwgx	303	17	significantly	significantly	RB
cord-290952-tbsccwgx	303	18	decrease	decrease	VBP
cord-290952-tbsccwgx	303	19	with	with	IN
cord-290952-tbsccwgx	303	20	the	the	DT
cord-290952-tbsccwgx	303	21	implementation	implementation	NN
cord-290952-tbsccwgx	303	22	of	of	IN
cord-290952-tbsccwgx	303	23	both	both	DT
cord-290952-tbsccwgx	303	24	time	time	NN
cord-290952-tbsccwgx	303	25	-	-	HYPH
cord-290952-tbsccwgx	303	26	dependent	dependent	JJ
cord-290952-tbsccwgx	303	27	control	control	NN
cord-290952-tbsccwgx	303	28	measures	measure	NNS
cord-290952-tbsccwgx	303	29	.	.	.
cord-290952-tbsccwgx	304	1	Although	although	IN
cord-290952-tbsccwgx	304	2	it	-PRON-	PRP
cord-290952-tbsccwgx	304	3	is	be	VBZ
cord-290952-tbsccwgx	304	4	impressive	impressive	JJ
cord-290952-tbsccwgx	304	5	that	that	IN
cord-290952-tbsccwgx	304	6	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	304	7	ramps	ramp	VBZ
cord-290952-tbsccwgx	304	8	up	up	RP
cord-290952-tbsccwgx	304	9	daily	daily	JJ
cord-290952-tbsccwgx	304	10	diagnostic	diagnostic	JJ
cord-290952-tbsccwgx	304	11	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	304	12	testing	testing	NN
cord-290952-tbsccwgx	304	13	and	and	CC
cord-290952-tbsccwgx	304	14	contact	contact	NN
cord-290952-tbsccwgx	304	15	tracing	trace	VBG
cord-290952-tbsccwgx	304	16	to	to	TO
cord-290952-tbsccwgx	304	17	have	have	VB
cord-290952-tbsccwgx	304	18	a	a	DT
cord-290952-tbsccwgx	304	19	realistic	realistic	JJ
cord-290952-tbsccwgx	304	20	measure	measure	NN
cord-290952-tbsccwgx	304	21	of	of	IN
cord-290952-tbsccwgx	304	22	the	the	DT
cord-290952-tbsccwgx	304	23	burden	burden	NN
cord-290952-tbsccwgx	304	24	of	of	IN
cord-290952-tbsccwgx	304	25	the	the	DT
cord-290952-tbsccwgx	304	26	nationwide	nationwide	JJ
cord-290952-tbsccwgx	304	27	pandemic	pandemic	NN
cord-290952-tbsccwgx	304	28	and	and	CC
cord-290952-tbsccwgx	304	29	emphasize	emphasize	VB
cord-290952-tbsccwgx	304	30	personal	personal	JJ
cord-290952-tbsccwgx	304	31	hygiene	hygiene	NN
cord-290952-tbsccwgx	304	32	and	and	CC
cord-290952-tbsccwgx	304	33	hand	hand	NN
cord-290952-tbsccwgx	304	34	washing	washing	NN
cord-290952-tbsccwgx	304	35	,	,	,
cord-290952-tbsccwgx	304	36	physical	physical	NN
cord-290952-tbsccwgx	304	37	-	-	HYPH
cord-290952-tbsccwgx	304	38	distancing	distancing	NN
cord-290952-tbsccwgx	304	39	,	,	,
cord-290952-tbsccwgx	304	40	wearing	wear	VBG
cord-290952-tbsccwgx	304	41	face	face	NN
cord-290952-tbsccwgx	304	42	masks	mask	NNS
cord-290952-tbsccwgx	304	43	in	in	IN
cord-290952-tbsccwgx	304	44	public	public	NN
cord-290952-tbsccwgx	304	45	.	.	.
cord-290952-tbsccwgx	305	1	Still	still	RB
cord-290952-tbsccwgx	305	2	,	,	,
cord-290952-tbsccwgx	305	3	this	this	DT
cord-290952-tbsccwgx	305	4	study	study	NN
cord-290952-tbsccwgx	305	5	suggests	suggest	VBZ
cord-290952-tbsccwgx	305	6	that	that	IN
cord-290952-tbsccwgx	305	7	the	the	DT
cord-290952-tbsccwgx	305	8	implementation	implementation	NN
cord-290952-tbsccwgx	305	9	of	of	IN
cord-290952-tbsccwgx	305	10	basic	basic	JJ
cord-290952-tbsccwgx	305	11	non	non	JJ
cord-290952-tbsccwgx	305	12	-	-	JJ
cord-290952-tbsccwgx	305	13	pharmaceutical	pharmaceutical	JJ
cord-290952-tbsccwgx	305	14	interventions	intervention	NNS
cord-290952-tbsccwgx	305	15	,	,	,
cord-290952-tbsccwgx	305	16	particularly	particularly	RB
cord-290952-tbsccwgx	305	17	social	social	JJ
cord-290952-tbsccwgx	305	18	-	-	HYPH
cord-290952-tbsccwgx	305	19	distancing	distancing	NN
cord-290952-tbsccwgx	305	20	,	,	,
cord-290952-tbsccwgx	305	21	quarantine	quarantine	NN
cord-290952-tbsccwgx	305	22	(	(	-LRB-
cord-290952-tbsccwgx	305	23	or	or	CC
cord-290952-tbsccwgx	305	24	self	self	NN
cord-290952-tbsccwgx	305	25	-	-	HYPH
cord-290952-tbsccwgx	305	26	isolation	isolation	NN
cord-290952-tbsccwgx	305	27	or	or	CC
cord-290952-tbsccwgx	305	28	stay	stay	VB
cord-290952-tbsccwgx	305	29	at	at	IN
cord-290952-tbsccwgx	305	30	home	home	NN
cord-290952-tbsccwgx	305	31	)	)	-RRB-
cord-290952-tbsccwgx	305	32	should	should	MD
cord-290952-tbsccwgx	305	33	be	be	VB
cord-290952-tbsccwgx	305	34	strictly	strictly	RB
cord-290952-tbsccwgx	305	35	observed	observe	VBN
cord-290952-tbsccwgx	305	36	in	in	IN
cord-290952-tbsccwgx	305	37	the	the	DT
cord-290952-tbsccwgx	305	38	future	future	NN
cord-290952-tbsccwgx	305	39	to	to	TO
cord-290952-tbsccwgx	305	40	avoid	avoid	VB
cord-290952-tbsccwgx	305	41	the	the	DT
cord-290952-tbsccwgx	305	42	worse	bad	JJR
cord-290952-tbsccwgx	305	43	scenario	scenario	NN
cord-290952-tbsccwgx	305	44	in	in	IN
cord-290952-tbsccwgx	305	45	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	305	46	.	.	.
cord-290952-tbsccwgx	306	1	It	-PRON-	PRP
cord-290952-tbsccwgx	306	2	is	be	VBZ
cord-290952-tbsccwgx	306	3	also	also	RB
cord-290952-tbsccwgx	306	4	believed	believe	VBN
cord-290952-tbsccwgx	306	5	that	that	IN
cord-290952-tbsccwgx	306	6	the	the	DT
cord-290952-tbsccwgx	306	7	present	present	JJ
cord-290952-tbsccwgx	306	8	study	study	NN
cord-290952-tbsccwgx	306	9	will	will	MD
cord-290952-tbsccwgx	306	10	be	be	VB
cord-290952-tbsccwgx	306	11	beneficial	beneficial	JJ
cord-290952-tbsccwgx	306	12	to	to	IN
cord-290952-tbsccwgx	306	13	the	the	DT
cord-290952-tbsccwgx	306	14	decision	decision	NN
cord-290952-tbsccwgx	306	15	-	-	HYPH
cord-290952-tbsccwgx	306	16	making	making	NN
cord-290952-tbsccwgx	306	17	in	in	IN
cord-290952-tbsccwgx	306	18	combating	combat	VBG
cord-290952-tbsccwgx	306	19	the	the	DT
cord-290952-tbsccwgx	306	20	disease	disease	NN
cord-290952-tbsccwgx	306	21	.	.	.
cord-290952-tbsccwgx	307	1	In	in	IN
cord-290952-tbsccwgx	307	2	the	the	DT
cord-290952-tbsccwgx	307	3	near	near	JJ
cord-290952-tbsccwgx	307	4	future	future	NN
cord-290952-tbsccwgx	307	5	,	,	,
cord-290952-tbsccwgx	307	6	we	-PRON-	PRP
cord-290952-tbsccwgx	307	7	will	will	MD
cord-290952-tbsccwgx	307	8	extend	extend	VB
cord-290952-tbsccwgx	307	9	the	the	DT
cord-290952-tbsccwgx	307	10	present	present	JJ
cord-290952-tbsccwgx	307	11	model	model	NN
cord-290952-tbsccwgx	307	12	by	by	IN
cord-290952-tbsccwgx	307	13	introducing	introduce	VBG
cord-290952-tbsccwgx	307	14	the	the	DT
cord-290952-tbsccwgx	307	15	fractional	fractional	JJ
cord-290952-tbsccwgx	307	16	operators	operator	NNS
cord-290952-tbsccwgx	307	17	with	with	IN
cord-290952-tbsccwgx	307	18	local	local	JJ
cord-290952-tbsccwgx	307	19	and	and	CC
cord-290952-tbsccwgx	307	20	nonlocal	nonlocal	JJ
cord-290952-tbsccwgx	307	21	kernel	kernel	NN
cord-290952-tbsccwgx	307	22	to	to	TO
cord-290952-tbsccwgx	307	23	gain	gain	VB
cord-290952-tbsccwgx	307	24	more	more	JJR
cord-290952-tbsccwgx	307	25	insights	insight	NNS
cord-290952-tbsccwgx	307	26	about	about	IN
cord-290952-tbsccwgx	307	27	the	the	DT
cord-290952-tbsccwgx	307	28	dynamics	dynamic	NNS
cord-290952-tbsccwgx	307	29	of	of	IN
cord-290952-tbsccwgx	307	30	COVID-19	covid-19	JJ
cord-290952-tbsccwgx	307	31	pandemic	pandemic	NN
cord-290952-tbsccwgx	307	32	.	.	.
cord-290952-tbsccwgx	308	1	An	an	DT
cord-290952-tbsccwgx	308	2	interactive	interactive	JJ
cord-290952-tbsccwgx	308	3	web	web	NN
cord-290952-tbsccwgx	308	4	-	-	HYPH
cord-290952-tbsccwgx	308	5	based	base	VBN
cord-290952-tbsccwgx	308	6	dashboard	dashboard	NN
cord-290952-tbsccwgx	308	7	to	to	TO
cord-290952-tbsccwgx	308	8	track	track	VB
cord-290952-tbsccwgx	308	9	covid-19	covid-19	NN
cord-290952-tbsccwgx	308	10	in	in	IN
cord-290952-tbsccwgx	308	11	real	real	JJ
cord-290952-tbsccwgx	308	12	time	time	NN
cord-290952-tbsccwgx	308	13	.	.	.
cord-290952-tbsccwgx	309	1	The	the	DT
cord-290952-tbsccwgx	309	2	Lancet	Lancet	NNP
cord-290952-tbsccwgx	309	3	infectious	infectious	JJ
cord-290952-tbsccwgx	309	4	diseases	disease	NNS
cord-290952-tbsccwgx	309	5	World	World	NNP
cord-290952-tbsccwgx	309	6	Health	Health	NNP
cord-290952-tbsccwgx	309	7	Organization	Organization	NNP
cord-290952-tbsccwgx	309	8	Coronavirus	Coronavirus	NNP
cord-290952-tbsccwgx	309	9	disease	disease	NN
cord-290952-tbsccwgx	309	10	(	(	-LRB-
cord-290952-tbsccwgx	309	11	COVID-19	covid-19	VB
cord-290952-tbsccwgx	309	12	)	)	-RRB-
cord-290952-tbsccwgx	309	13	situation	situation	NN
cord-290952-tbsccwgx	309	14	reports	report	VBZ
cord-290952-tbsccwgx	309	15	Presumed	presume	VBN
cord-290952-tbsccwgx	309	16	asymptomatic	asymptomatic	JJ
cord-290952-tbsccwgx	309	17	carrier	carrier	NN
cord-290952-tbsccwgx	309	18	transmission	transmission	NN
cord-290952-tbsccwgx	309	19	of	of	IN
cord-290952-tbsccwgx	309	20	covid-19	covid-19	NNP
cord-290952-tbsccwgx	309	21	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	309	22	Coronavirus	Coronavirus	NNP
cord-290952-tbsccwgx	309	23	Pandemic	Pandemic	NNP
cord-290952-tbsccwgx	309	24	World	World	NNP
cord-290952-tbsccwgx	309	25	Health	Health	NNP
cord-290952-tbsccwgx	309	26	Organization	Organization	NNP
cord-290952-tbsccwgx	309	27	Coronavirus	Coronavirus	NNP
cord-290952-tbsccwgx	309	28	disease	disease	NN
cord-290952-tbsccwgx	309	29	(	(	-LRB-
cord-290952-tbsccwgx	309	30	COVID-19	covid-19	VB
cord-290952-tbsccwgx	309	31	)	)	-RRB-
cord-290952-tbsccwgx	309	32	situation	situation	NN
cord-290952-tbsccwgx	309	33	reports	report	VBZ
cord-290952-tbsccwgx	310	1	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	310	2	Coronavirus	Coronavirus	NNP
cord-290952-tbsccwgx	310	3	Pandemic	Pandemic	NNP
cord-290952-tbsccwgx	310	4	COVID-19	COVID-19	NNP
cord-290952-tbsccwgx	310	5	Coronavirus	Coronavirus	NNP
cord-290952-tbsccwgx	310	6	Pandemic	Pandemic	NNP
cord-290952-tbsccwgx	310	7	in	in	IN
cord-290952-tbsccwgx	310	8	Pakistan	Pakistan	NNP
cord-290952-tbsccwgx	310	9	Quantifying	quantify	VBG
cord-290952-tbsccwgx	310	10	the	the	DT
cord-290952-tbsccwgx	310	11	role	role	NN
cord-290952-tbsccwgx	310	12	of	of	IN
cord-290952-tbsccwgx	310	13	social	social	JJ
cord-290952-tbsccwgx	310	14	distancing	distancing	NN
cord-290952-tbsccwgx	310	15	,	,	,
cord-290952-tbsccwgx	310	16	personal	personal	JJ
cord-290952-tbsccwgx	310	17	protection	protection	NN
cord-290952-tbsccwgx	310	18	and	and	CC
cord-290952-tbsccwgx	310	19	case	case	NN
cord-290952-tbsccwgx	310	20	detection	detection	NN
cord-290952-tbsccwgx	310	21	in	in	IN
cord-290952-tbsccwgx	310	22	mitigating	mitigate	VBG
cord-290952-tbsccwgx	310	23	covid-19	covid-19	CD
cord-290952-tbsccwgx	310	24	outbreak	outbreak	NN
cord-290952-tbsccwgx	310	25	in	in	IN
cord-290952-tbsccwgx	310	26	ontario	ontario	NNP
cord-290952-tbsccwgx	310	27	Analysis	Analysis	NNP
cord-290952-tbsccwgx	310	28	and	and	CC
cord-290952-tbsccwgx	310	29	forecast	forecast	NN
cord-290952-tbsccwgx	310	30	of	of	IN
cord-290952-tbsccwgx	310	31	covid-19	covid-19	NNP
cord-290952-tbsccwgx	310	32	spreading	spreading	NN
cord-290952-tbsccwgx	310	33	in	in	IN
cord-290952-tbsccwgx	310	34	china	china	NNP
cord-290952-tbsccwgx	310	35	,	,	,
cord-290952-tbsccwgx	310	36	italy	italy	NNP
cord-290952-tbsccwgx	310	37	and	and	CC
cord-290952-tbsccwgx	310	38	france	france	NNP
cord-290952-tbsccwgx	310	39	Modeling	model	VBG
cord-290952-tbsccwgx	310	40	the	the	DT
cord-290952-tbsccwgx	310	41	dynamics	dynamic	NNS
cord-290952-tbsccwgx	310	42	of	of	IN
cord-290952-tbsccwgx	310	43	novel	novel	JJ
cord-290952-tbsccwgx	310	44	coronavirus	coronavirus	NN
cord-290952-tbsccwgx	310	45	(	(	-LRB-
cord-290952-tbsccwgx	310	46	2019-ncov	2019-ncov	CD
cord-290952-tbsccwgx	310	47	)	)	-RRB-
cord-290952-tbsccwgx	310	48	with	with	IN
cord-290952-tbsccwgx	310	49	fractional	fractional	JJ
cord-290952-tbsccwgx	310	50	derivative	derivative	NN
cord-290952-tbsccwgx	310	51	Modelling	model	VBG
cord-290952-tbsccwgx	310	52	the	the	DT
cord-290952-tbsccwgx	310	53	spread	spread	NN
cord-290952-tbsccwgx	310	54	of	of	IN
cord-290952-tbsccwgx	310	55	covid-19	covid-19	CD
cord-290952-tbsccwgx	310	56	with	with	IN
cord-290952-tbsccwgx	310	57	new	new	JJ
cord-290952-tbsccwgx	310	58	fractal	fractal	JJ
cord-290952-tbsccwgx	310	59	-	-	HYPH
cord-290952-tbsccwgx	310	60	fractional	fractional	JJ
cord-290952-tbsccwgx	310	61	operators	operator	NNS
cord-290952-tbsccwgx	310	62	:	:	:
cord-290952-tbsccwgx	310	63	Can	Can	MD
cord-290952-tbsccwgx	310	64	the	the	DT
cord-290952-tbsccwgx	310	65	lockdown	lockdown	NN
cord-290952-tbsccwgx	310	66	save	save	VB
cord-290952-tbsccwgx	310	67	mankind	mankind	NN
cord-290952-tbsccwgx	310	68	before	before	IN
cord-290952-tbsccwgx	310	69	vaccination	vaccination	NN
cord-290952-tbsccwgx	310	70	?	?	.
cord-290952-tbsccwgx	311	1	Forecasting	forecast	VBG
cord-290952-tbsccwgx	311	2	the	the	DT
cord-290952-tbsccwgx	311	3	cumulative	cumulative	JJ
cord-290952-tbsccwgx	311	4	number	number	NN
cord-290952-tbsccwgx	311	5	of	of	IN
cord-290952-tbsccwgx	311	6	confirmed	confirm	VBN
cord-290952-tbsccwgx	311	7	cases	case	NNS
cord-290952-tbsccwgx	311	8	of	of	IN
cord-290952-tbsccwgx	311	9	covid-19	covid-19	NNP
cord-290952-tbsccwgx	311	10	in	in	IN
cord-290952-tbsccwgx	311	11	italy	italy	NNP
cord-290952-tbsccwgx	311	12	,	,	,
cord-290952-tbsccwgx	311	13	uk	uk	NNP
cord-290952-tbsccwgx	311	14	and	and	CC
cord-290952-tbsccwgx	311	15	usa	usa	NNP
cord-290952-tbsccwgx	311	16	using	use	VBG
cord-290952-tbsccwgx	311	17	fractional	fractional	JJ
cord-290952-tbsccwgx	311	18	nonlinear	nonlinear	JJ
cord-290952-tbsccwgx	311	19	grey	grey	NNP
cord-290952-tbsccwgx	311	20	bernoulli	bernoulli	NNP
cord-290952-tbsccwgx	311	21	model	model	NN
cord-290952-tbsccwgx	311	22	Modeling	Modeling	NNP
cord-290952-tbsccwgx	311	23	and	and	CC
cord-290952-tbsccwgx	311	24	prediction	prediction	NN
cord-290952-tbsccwgx	311	25	of	of	IN
cord-290952-tbsccwgx	311	26	covid-19	covid-19	NNP
cord-290952-tbsccwgx	311	27	in	in	IN
cord-290952-tbsccwgx	311	28	mexico	mexico	NNP
cord-290952-tbsccwgx	311	29	applying	apply	VBG
cord-290952-tbsccwgx	311	30	mathematical	mathematical	JJ
cord-290952-tbsccwgx	311	31	and	and	CC
cord-290952-tbsccwgx	311	32	computational	computational	JJ
cord-290952-tbsccwgx	311	33	models	model	NNS
cord-290952-tbsccwgx	312	1	Mathematical	mathematical	JJ
cord-290952-tbsccwgx	312	2	assessment	assessment	NN
cord-290952-tbsccwgx	312	3	of	of	IN
cord-290952-tbsccwgx	312	4	the	the	DT
cord-290952-tbsccwgx	312	5	impact	impact	NN
cord-290952-tbsccwgx	312	6	of	of	IN
cord-290952-tbsccwgx	312	7	non	non	JJ
cord-290952-tbsccwgx	312	8	-	-	JJ
cord-290952-tbsccwgx	312	9	pharmaceutical	pharmaceutical	JJ
cord-290952-tbsccwgx	312	10	interventions	intervention	NNS
cord-290952-tbsccwgx	312	11	on	on	IN
cord-290952-tbsccwgx	312	12	curtailing	curtail	VBG
cord-290952-tbsccwgx	312	13	the	the	DT
cord-290952-tbsccwgx	312	14	2019	2019	CD
cord-290952-tbsccwgx	312	15	novel	novel	NN
cord-290952-tbsccwgx	312	16	coronavirus	coronavirus	NN
cord-290952-tbsccwgx	312	17	Reproduction	Reproduction	NNP
cord-290952-tbsccwgx	312	18	numbers	number	NNS
cord-290952-tbsccwgx	312	19	and	and	CC
cord-290952-tbsccwgx	312	20	subthreshold	subthreshold	VBP
cord-290952-tbsccwgx	312	21	endemic	endemic	JJ
cord-290952-tbsccwgx	312	22	equilibria	equilibrium	NNS
cord-290952-tbsccwgx	312	23	for	for	IN
cord-290952-tbsccwgx	312	24	compartmental	compartmental	JJ
cord-290952-tbsccwgx	312	25	models	model	NNS
cord-290952-tbsccwgx	312	26	of	of	IN
cord-290952-tbsccwgx	312	27	disease	disease	NN
cord-290952-tbsccwgx	312	28	transmission	transmission	NN
cord-290952-tbsccwgx	313	1	The	the	DT
cord-290952-tbsccwgx	313	2	stability	stability	NN
cord-290952-tbsccwgx	313	3	of	of	IN
cord-290952-tbsccwgx	313	4	dynamical	dynamical	JJ
cord-290952-tbsccwgx	313	5	systems	system	NNS
cord-290952-tbsccwgx	313	6	Modeling	model	VBG
cord-290952-tbsccwgx	313	7	the	the	DT
cord-290952-tbsccwgx	313	8	transmission	transmission	NN
cord-290952-tbsccwgx	313	9	dynamics	dynamic	NNS
cord-290952-tbsccwgx	313	10	of	of	IN
cord-290952-tbsccwgx	313	11	tuberculosis	tuberculosis	NN
cord-290952-tbsccwgx	313	12	in	in	IN
cord-290952-tbsccwgx	313	13	khyber	khyber	NNP
cord-290952-tbsccwgx	313	14	pakhtunkhwa	pakhtunkhwa	NNP
cord-290952-tbsccwgx	313	15	pakistan	pakistan	NNP
cord-290952-tbsccwgx	313	16	Optimal	Optimal	NNP
cord-290952-tbsccwgx	313	17	control	control	NN
cord-290952-tbsccwgx	313	18	strategies	strategy	NNS
cord-290952-tbsccwgx	313	19	for	for	IN
cord-290952-tbsccwgx	313	20	dengue	dengue	NN
cord-290952-tbsccwgx	313	21	transmission	transmission	NN
cord-290952-tbsccwgx	313	22	in	in	IN
cord-290952-tbsccwgx	313	23	pakistan	pakistan	NNP
cord-290952-tbsccwgx	313	24	Parameter	Parameter	NNP
cord-290952-tbsccwgx	313	25	estimation	estimation	NN
cord-290952-tbsccwgx	313	26	in	in	IN
cord-290952-tbsccwgx	313	27	nonlinear	nonlinear	JJ
cord-290952-tbsccwgx	313	28	dynamical	dynamical	JJ
cord-290952-tbsccwgx	313	29	systems	system	NNS
cord-290952-tbsccwgx	313	30	A	a	DT
cord-290952-tbsccwgx	313	31	methodology	methodology	NN
cord-290952-tbsccwgx	313	32	for	for	IN
cord-290952-tbsccwgx	313	33	performing	perform	VBG
cord-290952-tbsccwgx	313	34	global	global	JJ
cord-290952-tbsccwgx	313	35	uncertainty	uncertainty	NN
cord-290952-tbsccwgx	313	36	and	and	CC
cord-290952-tbsccwgx	313	37	sensitivity	sensitivity	NN
cord-290952-tbsccwgx	313	38	analysis	analysis	NN
cord-290952-tbsccwgx	313	39	in	in	IN
cord-290952-tbsccwgx	313	40	systems	system	NNS
cord-290952-tbsccwgx	313	41	biology	biology	NN
cord-290952-tbsccwgx	313	42	Optimal	optimal	JJ
cord-290952-tbsccwgx	313	43	isolation	isolation	NN
cord-290952-tbsccwgx	313	44	control	control	NN
cord-290952-tbsccwgx	313	45	strategies	strategy	NNS
cord-290952-tbsccwgx	313	46	and	and	CC
cord-290952-tbsccwgx	313	47	cost	cost	NN
cord-290952-tbsccwgx	313	48	-	-	HYPH
cord-290952-tbsccwgx	313	49	effectiveness	effectiveness	NN
cord-290952-tbsccwgx	313	50	analysis	analysis	NN
cord-290952-tbsccwgx	313	51	of	of	IN
cord-290952-tbsccwgx	313	52	a	a	DT
cord-290952-tbsccwgx	313	53	two	two	CD
cord-290952-tbsccwgx	313	54	-	-	HYPH
cord-290952-tbsccwgx	313	55	strain	strain	NN
cord-290952-tbsccwgx	313	56	avian	avian	JJ
cord-290952-tbsccwgx	313	57	influenza	influenza	NN
cord-290952-tbsccwgx	313	58	model	model	NN
cord-290952-tbsccwgx	313	59	Media	medium	NNS
cord-290952-tbsccwgx	313	60	coverage	coverage	NN
cord-290952-tbsccwgx	313	61	campaign	campaign	NN
cord-290952-tbsccwgx	313	62	in	in	IN
cord-290952-tbsccwgx	313	63	hepatitis	hepatitis	NNP
cord-290952-tbsccwgx	313	64	B	B	NNP
cord-290952-tbsccwgx	313	65	transmission	transmission	NN
cord-290952-tbsccwgx	313	66	model	model	NN
cord-290952-tbsccwgx	313	67	Mathematical	mathematical	JJ
cord-290952-tbsccwgx	313	68	formulation	formulation	NN
cord-290952-tbsccwgx	313	69	of	of	IN
cord-290952-tbsccwgx	313	70	hepatitis	hepatitis	NNP
cord-290952-tbsccwgx	313	71	b	b	NNP
cord-290952-tbsccwgx	313	72	virus	virus	NN
cord-290952-tbsccwgx	313	73	with	with	IN
cord-290952-tbsccwgx	313	74	optimal	optimal	JJ
cord-290952-tbsccwgx	313	75	control	control	NN
cord-290952-tbsccwgx	313	76	analysis	analysis	NN
cord-290952-tbsccwgx	313	77	The	the	DT
cord-290952-tbsccwgx	313	78	maximum	maximum	JJ
cord-290952-tbsccwgx	313	79	principle	principle	NN
cord-290952-tbsccwgx	313	80	.	.	.
cord-290952-tbsccwgx	314	1	The	the	DT
cord-290952-tbsccwgx	314	2	Mathematical	Mathematical	NNP
cord-290952-tbsccwgx	314	3	Theory	Theory	NNP
cord-290952-tbsccwgx	314	4	of	of	IN
cord-290952-tbsccwgx	314	5	Optimal	Optimal	NNP
cord-290952-tbsccwgx	314	6	Processes	process	NNS
cord-290952-tbsccwgx	315	1	No	no	DT
cord-290952-tbsccwgx	315	2	conflict	conflict	NN
cord-290952-tbsccwgx	315	3	of	of	IN
cord-290952-tbsccwgx	315	4	interest	interest	NN
cord-290952-tbsccwgx	315	5	exists	exist	VBZ
cord-290952-tbsccwgx	315	6	regarding	regard	VBG
cord-290952-tbsccwgx	315	7	the	the	DT
cord-290952-tbsccwgx	315	8	publications	publication	NNS
cord-290952-tbsccwgx	315	9	of	of	IN
cord-290952-tbsccwgx	315	10	this	this	DT
cord-290952-tbsccwgx	315	11	paper	paper	NN
cord-290952-tbsccwgx	315	12	.	.	.
cord-290952-tbsccwgx	316	1	The	the	DT
cord-290952-tbsccwgx	316	2	authors	author	NNS
cord-290952-tbsccwgx	316	3	declare	declare	VBP
cord-290952-tbsccwgx	316	4	that	that	IN
cord-290952-tbsccwgx	316	5	there	there	EX
cord-290952-tbsccwgx	316	6	is	be	VBZ
cord-290952-tbsccwgx	316	7	no	no	DT
cord-290952-tbsccwgx	316	8	conflict	conflict	NN
cord-290952-tbsccwgx	316	9	of	of	IN
cord-290952-tbsccwgx	316	10	interests	interest	NNS
cord-290952-tbsccwgx	316	11	regarding	regard	VBG
cord-290952-tbsccwgx	316	12	the	the	DT
cord-290952-tbsccwgx	316	13	publications	publication	NNS
cord-290952-tbsccwgx	316	14	of	of	IN
cord-290952-tbsccwgx	316	15	this	this	DT
cord-290952-tbsccwgx	316	16	work	work	NN
cord-290952-tbsccwgx	316	17	.	.	.
cord-290952-tbsccwgx	316	18	 	 	_SP