id	sid	tid	token	lemma	pos
cord-342591-6joc2ld1	1	1	key	key	JJ
cord-342591-6joc2ld1	1	2	:	:	:
cord-342591-6joc2ld1	1	3	cord-342591	cord-342591	NNP
cord-342591-6joc2ld1	1	4	-	-	HYPH
cord-342591-6joc2ld1	1	5	6joc2ld1	6joc2ld1	CD
cord-342591-6joc2ld1	1	6	authors	author	NNS
cord-342591-6joc2ld1	1	7	:	:	:
cord-342591-6joc2ld1	1	8	Higazy	Higazy	NNP
cord-342591-6joc2ld1	1	9	,	,	,
cord-342591-6joc2ld1	1	10	M.	M.	NNP
cord-342591-6joc2ld1	1	11	title	title	NN
cord-342591-6joc2ld1	1	12	:	:	:
cord-342591-6joc2ld1	2	1	Novel	Novel	NNP
cord-342591-6joc2ld1	2	2	Fractional	Fractional	NNP
cord-342591-6joc2ld1	2	3	Order	order	NN
cord-342591-6joc2ld1	2	4	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	2	5	Mathematical	Mathematical	NNP
cord-342591-6joc2ld1	2	6	Model	Model	NNP
cord-342591-6joc2ld1	2	7	of	of	IN
cord-342591-6joc2ld1	2	8	The	the	DT
cord-342591-6joc2ld1	2	9	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	2	10	Pandemic	Pandemic	NNP
cord-342591-6joc2ld1	2	11	date	date	NN
cord-342591-6joc2ld1	2	12	:	:	:
cord-342591-6joc2ld1	2	13	2020	2020	CD
cord-342591-6joc2ld1	2	14	-	-	HYPH
cord-342591-6joc2ld1	2	15	06	06	CD
cord-342591-6joc2ld1	2	16	-	-	SYM
cord-342591-6joc2ld1	2	17	13	13	CD
cord-342591-6joc2ld1	2	18	journal	journal	NN
cord-342591-6joc2ld1	2	19	:	:	:
cord-342591-6joc2ld1	3	1	Chaos	Chaos	NNP
cord-342591-6joc2ld1	3	2	Solitons	Solitons	NNPS
cord-342591-6joc2ld1	4	1	Fractals	fractal	NNS
cord-342591-6joc2ld1	4	2	DOI	DOI	NNP
cord-342591-6joc2ld1	4	3	:	:	:
cord-342591-6joc2ld1	4	4	10.1016	10.1016	CD
cord-342591-6joc2ld1	4	5	/	/	SYM
cord-342591-6joc2ld1	4	6	j.chaos.2020.110007	j.chaos.2020.110007	NN
cord-342591-6joc2ld1	4	7	sha	sha	NNP
cord-342591-6joc2ld1	4	8	:	:	:
cord-342591-6joc2ld1	4	9	316346d7cfb30ebf8e4bc3bc5d1ff479f58f5039	316346d7cfb30ebf8e4bc3bc5d1ff479f58f5039	NNP
cord-342591-6joc2ld1	4	10	doc_id	doc_id	CD
cord-342591-6joc2ld1	4	11	:	:	:
cord-342591-6joc2ld1	4	12	342591	342591	CD
cord-342591-6joc2ld1	4	13	cord_uid	cord_uid	NNS
cord-342591-6joc2ld1	4	14	:	:	:
cord-342591-6joc2ld1	5	1	6joc2ld1	6joc2ld1	CD
cord-342591-6joc2ld1	6	1	Nowadays	nowadays	RB
cord-342591-6joc2ld1	6	2	,	,	,
cord-342591-6joc2ld1	6	3	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	6	4	has	have	VBZ
cord-342591-6joc2ld1	6	5	put	put	VBN
cord-342591-6joc2ld1	6	6	a	a	DT
cord-342591-6joc2ld1	6	7	significant	significant	JJ
cord-342591-6joc2ld1	6	8	responsibility	responsibility	NN
cord-342591-6joc2ld1	6	9	on	on	IN
cord-342591-6joc2ld1	6	10	all	all	DT
cord-342591-6joc2ld1	6	11	of	of	IN
cord-342591-6joc2ld1	6	12	us	-PRON-	PRP
cord-342591-6joc2ld1	6	13	around	around	IN
cord-342591-6joc2ld1	6	14	the	the	DT
cord-342591-6joc2ld1	6	15	world	world	NN
cord-342591-6joc2ld1	6	16	from	from	IN
cord-342591-6joc2ld1	6	17	its	-PRON-	PRP$
cord-342591-6joc2ld1	6	18	detection	detection	NN
cord-342591-6joc2ld1	6	19	to	to	IN
cord-342591-6joc2ld1	6	20	its	-PRON-	PRP$
cord-342591-6joc2ld1	6	21	remediation	remediation	NN
cord-342591-6joc2ld1	6	22	.	.	.
cord-342591-6joc2ld1	7	1	The	the	DT
cord-342591-6joc2ld1	7	2	globe	globe	NN
cord-342591-6joc2ld1	7	3	suffer	suffer	VBP
cord-342591-6joc2ld1	7	4	from	from	IN
cord-342591-6joc2ld1	7	5	lockdown	lockdown	NN
cord-342591-6joc2ld1	7	6	due	due	IN
cord-342591-6joc2ld1	7	7	to	to	IN
cord-342591-6joc2ld1	7	8	COVID-19	covid-19	JJ
cord-342591-6joc2ld1	7	9	pandemic	pandemic	NN
cord-342591-6joc2ld1	7	10	.	.	.
cord-342591-6joc2ld1	8	1	The	the	DT
cord-342591-6joc2ld1	8	2	researchers	researcher	NNS
cord-342591-6joc2ld1	8	3	are	be	VBP
cord-342591-6joc2ld1	8	4	doing	do	VBG
cord-342591-6joc2ld1	8	5	their	-PRON-	PRP$
cord-342591-6joc2ld1	8	6	best	good	JJS
cord-342591-6joc2ld1	8	7	to	to	TO
cord-342591-6joc2ld1	8	8	discover	discover	VB
cord-342591-6joc2ld1	8	9	the	the	DT
cord-342591-6joc2ld1	8	10	nature	nature	NN
cord-342591-6joc2ld1	8	11	of	of	IN
cord-342591-6joc2ld1	8	12	this	this	DT
cord-342591-6joc2ld1	8	13	pandemic	pandemic	NN
cord-342591-6joc2ld1	8	14	and	and	CC
cord-342591-6joc2ld1	8	15	try	try	VB
cord-342591-6joc2ld1	8	16	to	to	TO
cord-342591-6joc2ld1	8	17	produce	produce	VB
cord-342591-6joc2ld1	8	18	the	the	DT
cord-342591-6joc2ld1	8	19	possible	possible	JJ
cord-342591-6joc2ld1	8	20	plans	plan	NNS
cord-342591-6joc2ld1	8	21	to	to	TO
cord-342591-6joc2ld1	8	22	control	control	VB
cord-342591-6joc2ld1	8	23	it	-PRON-	PRP
cord-342591-6joc2ld1	8	24	.	.	.
cord-342591-6joc2ld1	9	1	One	one	CD
cord-342591-6joc2ld1	9	2	of	of	IN
cord-342591-6joc2ld1	9	3	the	the	DT
cord-342591-6joc2ld1	9	4	most	most	RBS
cord-342591-6joc2ld1	9	5	effective	effective	JJ
cord-342591-6joc2ld1	9	6	method	method	NN
cord-342591-6joc2ld1	9	7	to	to	TO
cord-342591-6joc2ld1	9	8	understand	understand	VB
cord-342591-6joc2ld1	9	9	and	and	CC
cord-342591-6joc2ld1	9	10	control	control	VB
cord-342591-6joc2ld1	9	11	the	the	DT
cord-342591-6joc2ld1	9	12	evolution	evolution	NN
cord-342591-6joc2ld1	9	13	of	of	IN
cord-342591-6joc2ld1	9	14	this	this	DT
cord-342591-6joc2ld1	9	15	pandemic	pandemic	NN
cord-342591-6joc2ld1	9	16	is	be	VBZ
cord-342591-6joc2ld1	9	17	to	to	TO
cord-342591-6joc2ld1	9	18	model	model	VB
cord-342591-6joc2ld1	9	19	it	-PRON-	PRP
cord-342591-6joc2ld1	9	20	via	via	IN
cord-342591-6joc2ld1	9	21	an	an	DT
cord-342591-6joc2ld1	9	22	efficient	efficient	JJ
cord-342591-6joc2ld1	9	23	mathematical	mathematical	JJ
cord-342591-6joc2ld1	9	24	model	model	NN
cord-342591-6joc2ld1	9	25	.	.	.
cord-342591-6joc2ld1	10	1	In	in	IN
cord-342591-6joc2ld1	10	2	this	this	DT
cord-342591-6joc2ld1	10	3	paper	paper	NN
cord-342591-6joc2ld1	10	4	,	,	,
cord-342591-6joc2ld1	10	5	we	-PRON-	PRP
cord-342591-6joc2ld1	10	6	propose	propose	VBP
cord-342591-6joc2ld1	10	7	to	to	TO
cord-342591-6joc2ld1	10	8	model	model	VB
cord-342591-6joc2ld1	10	9	the	the	DT
cord-342591-6joc2ld1	10	10	COVID-19	covid-19	JJ
cord-342591-6joc2ld1	10	11	pandemic	pandemic	NN
cord-342591-6joc2ld1	10	12	by	by	IN
cord-342591-6joc2ld1	10	13	fractional	fractional	JJ
cord-342591-6joc2ld1	10	14	order	order	NN
cord-342591-6joc2ld1	10	15	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	10	16	model	model	NN
cord-342591-6joc2ld1	10	17	which	which	WDT
cord-342591-6joc2ld1	10	18	not	not	RB
cord-342591-6joc2ld1	10	19	appear	appear	VBP
cord-342591-6joc2ld1	10	20	in	in	IN
cord-342591-6joc2ld1	10	21	the	the	DT
cord-342591-6joc2ld1	10	22	literature	literature	NN
cord-342591-6joc2ld1	10	23	before	before	RB
cord-342591-6joc2ld1	10	24	.	.	.
cord-342591-6joc2ld1	11	1	The	the	DT
cord-342591-6joc2ld1	11	2	existence	existence	NN
cord-342591-6joc2ld1	11	3	of	of	IN
cord-342591-6joc2ld1	11	4	a	a	DT
cord-342591-6joc2ld1	11	5	stable	stable	JJ
cord-342591-6joc2ld1	11	6	solution	solution	NN
cord-342591-6joc2ld1	11	7	of	of	IN
cord-342591-6joc2ld1	11	8	the	the	DT
cord-342591-6joc2ld1	11	9	fractional	fractional	JJ
cord-342591-6joc2ld1	11	10	order	order	NN
cord-342591-6joc2ld1	11	11	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	11	12	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	11	13	model	model	NN
cord-342591-6joc2ld1	11	14	is	be	VBZ
cord-342591-6joc2ld1	11	15	proved	prove	VBN
cord-342591-6joc2ld1	11	16	and	and	CC
cord-342591-6joc2ld1	11	17	the	the	DT
cord-342591-6joc2ld1	11	18	fractional	fractional	JJ
cord-342591-6joc2ld1	11	19	order	order	NN
cord-342591-6joc2ld1	11	20	necessary	necessary	JJ
cord-342591-6joc2ld1	11	21	conditions	condition	NNS
cord-342591-6joc2ld1	11	22	of	of	IN
cord-342591-6joc2ld1	11	23	four	four	CD
cord-342591-6joc2ld1	11	24	proposed	propose	VBN
cord-342591-6joc2ld1	11	25	control	control	NN
cord-342591-6joc2ld1	11	26	strategies	strategy	NNS
cord-342591-6joc2ld1	11	27	are	be	VBP
cord-342591-6joc2ld1	11	28	produced	produce	VBN
cord-342591-6joc2ld1	11	29	.	.	.
cord-342591-6joc2ld1	12	1	The	the	DT
cord-342591-6joc2ld1	12	2	sensitivity	sensitivity	NN
cord-342591-6joc2ld1	12	3	of	of	IN
cord-342591-6joc2ld1	12	4	the	the	DT
cord-342591-6joc2ld1	12	5	fractional	fractional	JJ
cord-342591-6joc2ld1	12	6	order	order	NN
cord-342591-6joc2ld1	12	7	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	12	8	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	12	9	model	model	NN
cord-342591-6joc2ld1	12	10	to	to	IN
cord-342591-6joc2ld1	12	11	the	the	DT
cord-342591-6joc2ld1	12	12	fractional	fractional	JJ
cord-342591-6joc2ld1	12	13	order	order	NN
cord-342591-6joc2ld1	12	14	and	and	CC
cord-342591-6joc2ld1	12	15	the	the	DT
cord-342591-6joc2ld1	12	16	infection	infection	NN
cord-342591-6joc2ld1	12	17	rate	rate	NN
cord-342591-6joc2ld1	12	18	parameters	parameter	NNS
cord-342591-6joc2ld1	12	19	are	be	VBP
cord-342591-6joc2ld1	12	20	displayed	display	VBN
cord-342591-6joc2ld1	12	21	.	.	.
cord-342591-6joc2ld1	13	1	All	all	DT
cord-342591-6joc2ld1	13	2	studies	study	NNS
cord-342591-6joc2ld1	13	3	are	be	VBP
cord-342591-6joc2ld1	13	4	numerically	numerically	RB
cord-342591-6joc2ld1	13	5	simulated	simulate	VBN
cord-342591-6joc2ld1	13	6	using	use	VBG
cord-342591-6joc2ld1	13	7	MATLAB	MATLAB	NNP
cord-342591-6joc2ld1	13	8	software	software	NN
cord-342591-6joc2ld1	13	9	via	via	IN
cord-342591-6joc2ld1	13	10	fractional	fractional	JJ
cord-342591-6joc2ld1	13	11	order	order	NN
cord-342591-6joc2ld1	13	12	differential	differential	JJ
cord-342591-6joc2ld1	13	13	equation	equation	NN
cord-342591-6joc2ld1	13	14	solver	solver	NN
cord-342591-6joc2ld1	13	15	.	.	.
cord-342591-6joc2ld1	14	1	All	all	PDT
cord-342591-6joc2ld1	14	2	the	the	DT
cord-342591-6joc2ld1	14	3	world	world	NN
cord-342591-6joc2ld1	14	4	states	state	VBZ
cord-342591-6joc2ld1	14	5	'	'	POS
cord-342591-6joc2ld1	14	6	governments	government	NNS
cord-342591-6joc2ld1	14	7	introduce	introduce	VBP
cord-342591-6joc2ld1	14	8	a	a	DT
cord-342591-6joc2ld1	14	9	big	big	JJ
cord-342591-6joc2ld1	14	10	effort	effort	NN
cord-342591-6joc2ld1	14	11	and	and	CC
cord-342591-6joc2ld1	14	12	vital	vital	JJ
cord-342591-6joc2ld1	14	13	measures	measure	NNS
cord-342591-6joc2ld1	14	14	to	to	TO
cord-342591-6joc2ld1	14	15	eliminate	eliminate	VB
cord-342591-6joc2ld1	14	16	the	the	DT
cord-342591-6joc2ld1	14	17	outbreak	outbreak	NN
cord-342591-6joc2ld1	14	18	of	of	IN
cord-342591-6joc2ld1	14	19	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	14	20	[	[	-LRB-
cord-342591-6joc2ld1	14	21	22	22	CD
cord-342591-6joc2ld1	14	22	]	]	-RRB-
cord-342591-6joc2ld1	14	23	.	.	.
cord-342591-6joc2ld1	15	1	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	15	2	is	be	VBZ
cord-342591-6joc2ld1	15	3	a	a	DT
cord-342591-6joc2ld1	15	4	new	new	JJ
cord-342591-6joc2ld1	15	5	progeny	progeny	NN
cord-342591-6joc2ld1	15	6	of	of	IN
cord-342591-6joc2ld1	15	7	coronavirus	coronavirus	NN
cord-342591-6joc2ld1	15	8	,	,	,
cord-342591-6joc2ld1	15	9	SARS	SARS	NNP
cord-342591-6joc2ld1	15	10	-	-	HYPH
cord-342591-6joc2ld1	15	11	CoV-2	CoV-2	NNP
cord-342591-6joc2ld1	15	12	and	and	CC
cord-342591-6joc2ld1	15	13	firstly	firstly	RB
cord-342591-6joc2ld1	15	14	detected	detect	VBN
cord-342591-6joc2ld1	15	15	in	in	IN
cord-342591-6joc2ld1	15	16	Wuhan	Wuhan	NNP
cord-342591-6joc2ld1	15	17	,	,	,
cord-342591-6joc2ld1	15	18	China	China	NNP
cord-342591-6joc2ld1	15	19	[	[	-LRB-
cord-342591-6joc2ld1	15	20	52	52	CD
cord-342591-6joc2ld1	15	21	,	,	,
cord-342591-6joc2ld1	15	22	57	57	CD
cord-342591-6joc2ld1	15	23	]	]	-RRB-
cord-342591-6joc2ld1	15	24	.	.	.
cord-342591-6joc2ld1	16	1	In	in	IN
cord-342591-6joc2ld1	16	2	the	the	DT
cord-342591-6joc2ld1	16	3	few	few	JJ
cord-342591-6joc2ld1	16	4	months	month	NNS
cord-342591-6joc2ld1	16	5	after	after	IN
cord-342591-6joc2ld1	16	6	discovering	discover	VBG
cord-342591-6joc2ld1	16	7	it	-PRON-	PRP
cord-342591-6joc2ld1	16	8	,	,	,
cord-342591-6joc2ld1	16	9	the	the	DT
cord-342591-6joc2ld1	16	10	number	number	NN
cord-342591-6joc2ld1	16	11	of	of	IN
cord-342591-6joc2ld1	16	12	patients	patient	NNS
cord-342591-6joc2ld1	16	13	were	be	VBD
cord-342591-6joc2ld1	16	14	increasing	increase	VBG
cord-342591-6joc2ld1	16	15	exponentially	exponentially	RB
cord-342591-6joc2ld1	16	16	.	.	.
cord-342591-6joc2ld1	17	1	The	the	DT
cord-342591-6joc2ld1	17	2	taken	take	VBN
cord-342591-6joc2ld1	17	3	measures	measure	NNS
cord-342591-6joc2ld1	17	4	against	against	IN
cord-342591-6joc2ld1	17	5	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	17	6	until	until	IN
cord-342591-6joc2ld1	17	7	the	the	DT
cord-342591-6joc2ld1	17	8	day	day	NN
cord-342591-6joc2ld1	17	9	of	of	IN
cord-342591-6joc2ld1	17	10	writing	write	VBG
cord-342591-6joc2ld1	17	11	these	these	DT
cord-342591-6joc2ld1	17	12	words	word	NNS
cord-342591-6joc2ld1	17	13	did	do	VBD
cord-342591-6joc2ld1	17	14	n't	not	RB
cord-342591-6joc2ld1	17	15	prevent	prevent	VB
cord-342591-6joc2ld1	17	16	the	the	DT
cord-342591-6joc2ld1	17	17	growth	growth	NN
cord-342591-6joc2ld1	17	18	of	of	IN
cord-342591-6joc2ld1	17	19	infected	infected	JJ
cord-342591-6joc2ld1	17	20	cases	case	NNS
cord-342591-6joc2ld1	17	21	around	around	IN
cord-342591-6joc2ld1	17	22	the	the	DT
cord-342591-6joc2ld1	17	23	globe	globe	NN
cord-342591-6joc2ld1	17	24	.	.	.
cord-342591-6joc2ld1	18	1	The	the	DT
cord-342591-6joc2ld1	18	2	World	World	NNP
cord-342591-6joc2ld1	18	3	Health	Health	NNP
cord-342591-6joc2ld1	18	4	Organization	Organization	NNP
cord-342591-6joc2ld1	18	5	situation	situation	NN
cord-342591-6joc2ld1	18	6	report	report	NN
cord-342591-6joc2ld1	18	7	published	publish	VBN
cord-342591-6joc2ld1	18	8	in	in	IN
cord-342591-6joc2ld1	18	9	25	25	CD
cord-342591-6joc2ld1	18	10	May	May	NNP
cord-342591-6joc2ld1	18	11	2020	2020	CD
cord-342591-6joc2ld1	18	12	informed	inform	VBD
cord-342591-6joc2ld1	18	13	that	that	IN
cord-342591-6joc2ld1	18	14	5304772	5304772	CD
cord-342591-6joc2ld1	18	15	cases	case	NNS
cord-342591-6joc2ld1	18	16	as	as	IN
cord-342591-6joc2ld1	18	17	total	total	JJ
cord-342591-6joc2ld1	18	18	cases	case	NNS
cord-342591-6joc2ld1	18	19	and	and	CC
cord-342591-6joc2ld1	18	20	342029	342029	CD
cord-342591-6joc2ld1	18	21	deaths	death	NNS
cord-342591-6joc2ld1	18	22	around	around	IN
cord-342591-6joc2ld1	18	23	the	the	DT
cord-342591-6joc2ld1	18	24	globe	globe	NN
cord-342591-6joc2ld1	18	25	[	[	-LRB-
cord-342591-6joc2ld1	18	26	54	54	CD
cord-342591-6joc2ld1	18	27	]	]	-RRB-
cord-342591-6joc2ld1	18	28	.	.	.
cord-342591-6joc2ld1	19	1	Using	use	VBG
cord-342591-6joc2ld1	19	2	mathematical	mathematical	JJ
cord-342591-6joc2ld1	19	3	model	model	NN
cord-342591-6joc2ld1	19	4	to	to	TO
cord-342591-6joc2ld1	19	5	predict	predict	VB
cord-342591-6joc2ld1	19	6	the	the	DT
cord-342591-6joc2ld1	19	7	epidemics	epidemic	NNS
cord-342591-6joc2ld1	19	8	is	be	VBZ
cord-342591-6joc2ld1	19	9	very	very	RB
cord-342591-6joc2ld1	19	10	useful	useful	JJ
cord-342591-6joc2ld1	19	11	in	in	IN
cord-342591-6joc2ld1	19	12	order	order	NN
cord-342591-6joc2ld1	19	13	to	to	TO
cord-342591-6joc2ld1	19	14	understand	understand	VB
cord-342591-6joc2ld1	19	15	the	the	DT
cord-342591-6joc2ld1	19	16	nature	nature	NN
cord-342591-6joc2ld1	19	17	of	of	IN
cord-342591-6joc2ld1	19	18	the	the	DT
cord-342591-6joc2ld1	19	19	epidemic	epidemic	NN
cord-342591-6joc2ld1	19	20	and	and	CC
cord-342591-6joc2ld1	19	21	to	to	TO
cord-342591-6joc2ld1	19	22	design	design	VB
cord-342591-6joc2ld1	19	23	an	an	DT
cord-342591-6joc2ld1	19	24	efficient	efficient	JJ
cord-342591-6joc2ld1	19	25	strategies	strategy	NNS
cord-342591-6joc2ld1	19	26	to	to	TO
cord-342591-6joc2ld1	19	27	control	control	VB
cord-342591-6joc2ld1	19	28	it	-PRON-	PRP
cord-342591-6joc2ld1	19	29	[	[	-LRB-
cord-342591-6joc2ld1	19	30	4	4	CD
cord-342591-6joc2ld1	19	31	,	,	,
cord-342591-6joc2ld1	19	32	8	8	CD
cord-342591-6joc2ld1	19	33	,	,	,
cord-342591-6joc2ld1	19	34	14	14	CD
cord-342591-6joc2ld1	19	35	,	,	,
cord-342591-6joc2ld1	19	36	26	26	CD
cord-342591-6joc2ld1	19	37	,	,	,
cord-342591-6joc2ld1	19	38	27	27	CD
cord-342591-6joc2ld1	19	39	]	]	-RRB-
cord-342591-6joc2ld1	19	40	.	.	.
cord-342591-6joc2ld1	20	1	It	-PRON-	PRP
cord-342591-6joc2ld1	20	2	is	be	VBZ
cord-342591-6joc2ld1	20	3	common	common	JJ
cord-342591-6joc2ld1	20	4	to	to	TO
cord-342591-6joc2ld1	20	5	study	study	VB
cord-342591-6joc2ld1	20	6	the	the	DT
cord-342591-6joc2ld1	20	7	humanitarian	humanitarian	JJ
cord-342591-6joc2ld1	20	8	diffusion	diffusion	NN
cord-342591-6joc2ld1	20	9	of	of	IN
cord-342591-6joc2ld1	20	10	epidemics	epidemic	NNS
cord-342591-6joc2ld1	20	11	via	via	IN
cord-342591-6joc2ld1	20	12	SIR	SIR	NNP
cord-342591-6joc2ld1	20	13	or	or	CC
cord-342591-6joc2ld1	20	14	SEIR	SEIR	NNP
cord-342591-6joc2ld1	20	15	models	model	NNS
cord-342591-6joc2ld1	20	16	[	[	-LRB-
cord-342591-6joc2ld1	20	17	11	11	CD
cord-342591-6joc2ld1	20	18	,	,	,
cord-342591-6joc2ld1	20	19	13	13	CD
cord-342591-6joc2ld1	20	20	,	,	,
cord-342591-6joc2ld1	20	21	33	33	CD
cord-342591-6joc2ld1	20	22	,	,	,
cord-342591-6joc2ld1	20	23	48	48	CD
cord-342591-6joc2ld1	20	24	]	]	-RRB-
cord-342591-6joc2ld1	20	25	.	.	.
cord-342591-6joc2ld1	21	1	Various	various	JJ
cord-342591-6joc2ld1	21	2	models	model	NNS
cord-342591-6joc2ld1	21	3	have	have	VBP
cord-342591-6joc2ld1	21	4	been	be	VBN
cord-342591-6joc2ld1	21	5	proposed	propose	VBN
cord-342591-6joc2ld1	21	6	to	to	TO
cord-342591-6joc2ld1	21	7	model	model	VB
cord-342591-6joc2ld1	21	8	and	and	CC
cord-342591-6joc2ld1	21	9	study	study	VB
cord-342591-6joc2ld1	21	10	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	21	11	pandemic	pandemic	NN
cord-342591-6joc2ld1	21	12	.	.	.
cord-342591-6joc2ld1	22	1	Taking	take	VBG
cord-342591-6joc2ld1	22	2	into	into	IN
cord-342591-6joc2ld1	22	3	account	account	NN
cord-342591-6joc2ld1	22	4	the	the	DT
cord-342591-6joc2ld1	22	5	risk	risk	NN
cord-342591-6joc2ld1	22	6	understanding	understanding	NN
cord-342591-6joc2ld1	22	7	and	and	CC
cord-342591-6joc2ld1	22	8	the	the	DT
cord-342591-6joc2ld1	22	9	accumulative	accumulative	JJ
cord-342591-6joc2ld1	22	10	issue	issue	NN
cord-342591-6joc2ld1	22	11	of	of	IN
cord-342591-6joc2ld1	22	12	cases	case	NNS
cord-342591-6joc2ld1	22	13	,	,	,
cord-342591-6joc2ld1	22	14	COVID-19	covid-19	JJ
cord-342591-6joc2ld1	22	15	pandemic	pandemic	NN
cord-342591-6joc2ld1	22	16	has	have	VBZ
cord-342591-6joc2ld1	22	17	been	be	VBN
cord-342591-6joc2ld1	22	18	modeled	model	VBN
cord-342591-6joc2ld1	22	19	by	by	IN
cord-342591-6joc2ld1	22	20	Lin	Lin	NNP
cord-342591-6joc2ld1	22	21	et	et	NNP
cord-342591-6joc2ld1	22	22	al	al	NNP
cord-342591-6joc2ld1	22	23	.	.	.
cord-342591-6joc2ld1	23	1	via	via	IN
cord-342591-6joc2ld1	23	2	extending	extend	VBG
cord-342591-6joc2ld1	23	3	SEIR	SEIR	NNP
cord-342591-6joc2ld1	23	4	model	model	NN
cord-342591-6joc2ld1	23	5	[	[	-LRB-
cord-342591-6joc2ld1	23	6	38	38	CD
cord-342591-6joc2ld1	23	7	]	]	-RRB-
cord-342591-6joc2ld1	23	8	where	where	WRB
cord-342591-6joc2ld1	23	9	S	S	NNP
cord-342591-6joc2ld1	23	10	signifies	signify	VBZ
cord-342591-6joc2ld1	23	11	the	the	DT
cord-342591-6joc2ld1	23	12	susceptible	susceptible	JJ
cord-342591-6joc2ld1	23	13	,	,	,
cord-342591-6joc2ld1	23	14	E	E	NNP
cord-342591-6joc2ld1	23	15	signifies	signify	VBZ
cord-342591-6joc2ld1	23	16	the	the	DT
cord-342591-6joc2ld1	23	17	exposed	expose	VBN
cord-342591-6joc2ld1	23	18	,	,	,
cord-342591-6joc2ld1	23	19	I	-PRON-	PRP
cord-342591-6joc2ld1	23	20	signifies	signify	VBZ
cord-342591-6joc2ld1	23	21	the	the	DT
cord-342591-6joc2ld1	23	22	infected	infected	JJ
cord-342591-6joc2ld1	23	23	and	and	CC
cord-342591-6joc2ld1	23	24	R	r	NN
cord-342591-6joc2ld1	23	25	signifies	signify	VBZ
cord-342591-6joc2ld1	23	26	the	the	DT
cord-342591-6joc2ld1	23	27	removed	removed	JJ
cord-342591-6joc2ld1	23	28	cases	case	NNS
cord-342591-6joc2ld1	23	29	.	.	.
cord-342591-6joc2ld1	24	1	In	in	IN
cord-342591-6joc2ld1	24	2	[	[	-LRB-
cord-342591-6joc2ld1	24	3	3	3	CD
cord-342591-6joc2ld1	24	4	]	]	-RRB-
cord-342591-6joc2ld1	24	5	,	,	,
cord-342591-6joc2ld1	24	6	Anastassopoulou	Anastassopoulou	NNP
cord-342591-6joc2ld1	24	7	et	et	NNP
cord-342591-6joc2ld1	24	8	al	al	NNP
cord-342591-6joc2ld1	24	9	.	.	NNP
cord-342591-6joc2ld1	24	10	have	have	VBP
cord-342591-6joc2ld1	24	11	suggested	suggest	VBN
cord-342591-6joc2ld1	24	12	the	the	DT
cord-342591-6joc2ld1	24	13	SIR	SIR	NNP
cord-342591-6joc2ld1	24	14	model	model	NN
cord-342591-6joc2ld1	24	15	in	in	IN
cord-342591-6joc2ld1	24	16	the	the	DT
cord-342591-6joc2ld1	24	17	discrete	discrete	JJ
cord-342591-6joc2ld1	24	18	time	time	NN
cord-342591-6joc2ld1	24	19	mode	mode	NN
cord-342591-6joc2ld1	24	20	taking	take	VBG
cord-342591-6joc2ld1	24	21	into	into	IN
cord-342591-6joc2ld1	24	22	account	account	NN
cord-342591-6joc2ld1	24	23	the	the	DT
cord-342591-6joc2ld1	24	24	dead	dead	JJ
cord-342591-6joc2ld1	24	25	cases	case	NNS
cord-342591-6joc2ld1	24	26	.	.	.
cord-342591-6joc2ld1	25	1	In	in	IN
cord-342591-6joc2ld1	25	2	[	[	-LRB-
cord-342591-6joc2ld1	25	3	9	9	CD
cord-342591-6joc2ld1	25	4	]	]	-RRB-
cord-342591-6joc2ld1	25	5	by	by	IN
cord-342591-6joc2ld1	25	6	Casella	Casella	NNP
cord-342591-6joc2ld1	25	7	,	,	,
cord-342591-6joc2ld1	25	8	SIR	SIR	NNP
cord-342591-6joc2ld1	25	9	model	model	NN
cord-342591-6joc2ld1	25	10	is	be	VBZ
cord-342591-6joc2ld1	25	11	expanded	expand	VBN
cord-342591-6joc2ld1	25	12	to	to	TO
cord-342591-6joc2ld1	25	13	study	study	VB
cord-342591-6joc2ld1	25	14	the	the	DT
cord-342591-6joc2ld1	25	15	delays	delay	NNS
cord-342591-6joc2ld1	25	16	effect	effect	NN
cord-342591-6joc2ld1	25	17	and	and	CC
cord-342591-6joc2ld1	25	18	to	to	TO
cord-342591-6joc2ld1	25	19	compare	compare	VB
cord-342591-6joc2ld1	25	20	the	the	DT
cord-342591-6joc2ld1	25	21	policies	policy	NNS
cord-342591-6joc2ld1	25	22	of	of	IN
cord-342591-6joc2ld1	25	23	containment	containment	NN
cord-342591-6joc2ld1	25	24	.	.	.
cord-342591-6joc2ld1	26	1	In	in	IN
cord-342591-6joc2ld1	26	2	[	[	-LRB-
cord-342591-6joc2ld1	26	3	56	56	CD
cord-342591-6joc2ld1	26	4	]	]	-RRB-
cord-342591-6joc2ld1	26	5	by	by	IN
cord-342591-6joc2ld1	26	6	Wu	Wu	NNP
cord-342591-6joc2ld1	26	7	et	et	NNP
cord-342591-6joc2ld1	26	8	al	al	NNP
cord-342591-6joc2ld1	26	9	.	.	NNP
cord-342591-6joc2ld1	26	10	,	,	,
cord-342591-6joc2ld1	26	11	the	the	DT
cord-342591-6joc2ld1	26	12	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	26	13	severity	severity	NN
cord-342591-6joc2ld1	26	14	has	have	VBZ
cord-342591-6joc2ld1	26	15	been	be	VBN
cord-342591-6joc2ld1	26	16	estimated	estimate	VBN
cord-342591-6joc2ld1	26	17	using	use	VBG
cord-342591-6joc2ld1	26	18	the	the	DT
cord-342591-6joc2ld1	26	19	dynamics	dynamic	NNS
cord-342591-6joc2ld1	26	20	of	of	IN
cord-342591-6joc2ld1	26	21	transition	transition	NN
cord-342591-6joc2ld1	26	22	.	.	.
cord-342591-6joc2ld1	27	1	In	in	IN
cord-342591-6joc2ld1	27	2	[	[	-LRB-
cord-342591-6joc2ld1	27	3	25	25	CD
cord-342591-6joc2ld1	27	4	,	,	,
cord-342591-6joc2ld1	27	5	34	34	CD
cord-342591-6joc2ld1	27	6	]	]	-RRB-
cord-342591-6joc2ld1	27	7	,	,	,
cord-342591-6joc2ld1	27	8	random	random	JJ
cord-342591-6joc2ld1	27	9	transition	transition	NN
cord-342591-6joc2ld1	27	10	models	model	NNS
cord-342591-6joc2ld1	27	11	have	have	VBP
cord-342591-6joc2ld1	27	12	been	be	VBN
cord-342591-6joc2ld1	27	13	studied	study	VBN
cord-342591-6joc2ld1	27	14	.	.	.
cord-342591-6joc2ld1	28	1	In	in	IN
cord-342591-6joc2ld1	28	2	[	[	-LRB-
cord-342591-6joc2ld1	28	3	12	12	CD
cord-342591-6joc2ld1	28	4	]	]	-RRB-
cord-342591-6joc2ld1	28	5	,	,	,
cord-342591-6joc2ld1	28	6	the	the	DT
cord-342591-6joc2ld1	28	7	general	general	JJ
cord-342591-6joc2ld1	28	8	multi	multi	JJ
cord-342591-6joc2ld1	28	9	-	-	JJ
cord-342591-6joc2ld1	28	10	group	group	JJ
cord-342591-6joc2ld1	28	11	SEIRA	SEIRA	NNP
cord-342591-6joc2ld1	28	12	model	model	NN
cord-342591-6joc2ld1	28	13	was	be	VBD
cord-342591-6joc2ld1	28	14	represented	represent	VBN
cord-342591-6joc2ld1	28	15	and	and	CC
cord-342591-6joc2ld1	28	16	numerically	numerically	RB
cord-342591-6joc2ld1	28	17	tested	test	VBN
cord-342591-6joc2ld1	28	18	for	for	IN
cord-342591-6joc2ld1	28	19	modelling	model	VBG
cord-342591-6joc2ld1	28	20	the	the	DT
cord-342591-6joc2ld1	28	21	diffusion	diffusion	NN
cord-342591-6joc2ld1	28	22	of	of	IN
cord-342591-6joc2ld1	28	23	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	28	24	between	between	IN
cord-342591-6joc2ld1	28	25	a	a	DT
cord-342591-6joc2ld1	28	26	non	non	JJ
cord-342591-6joc2ld1	28	27	-	-	JJ
cord-342591-6joc2ld1	28	28	homogeneous	homogeneous	JJ
cord-342591-6joc2ld1	28	29	population	population	NN
cord-342591-6joc2ld1	28	30	.	.	.
cord-342591-6joc2ld1	29	1	The	the	DT
cord-342591-6joc2ld1	29	2	basic	basic	JJ
cord-342591-6joc2ld1	29	3	mathematical	mathematical	JJ
cord-342591-6joc2ld1	29	4	tool	tool	NN
cord-342591-6joc2ld1	29	5	used	use	VBN
cord-342591-6joc2ld1	29	6	to	to	TO
cord-342591-6joc2ld1	29	7	model	model	VB
cord-342591-6joc2ld1	29	8	several	several	JJ
cord-342591-6joc2ld1	29	9	epidemics	epidemic	NNS
cord-342591-6joc2ld1	29	10	is	be	VBZ
cord-342591-6joc2ld1	29	11	differential	differential	JJ
cord-342591-6joc2ld1	29	12	equations	equation	NNS
cord-342591-6joc2ld1	29	13	in	in	IN
cord-342591-6joc2ld1	29	14	various	various	JJ
cord-342591-6joc2ld1	29	15	modes	mode	NNS
cord-342591-6joc2ld1	29	16	(	(	-LRB-
cord-342591-6joc2ld1	29	17	ordinary	ordinary	JJ
cord-342591-6joc2ld1	29	18	,	,	,
cord-342591-6joc2ld1	29	19	fractional	fractional	JJ
cord-342591-6joc2ld1	29	20	,	,	,
cord-342591-6joc2ld1	29	21	with	with	IN
cord-342591-6joc2ld1	29	22	delay	delay	NN
cord-342591-6joc2ld1	29	23	,	,	,
cord-342591-6joc2ld1	29	24	randomly	randomly	RB
cord-342591-6joc2ld1	29	25	detected	detect	VBD
cord-342591-6joc2ld1	29	26	or	or	CC
cord-342591-6joc2ld1	29	27	partial	partial	JJ
cord-342591-6joc2ld1	29	28	)	)	-RRB-
cord-342591-6joc2ld1	29	29	[	[	-LRB-
cord-342591-6joc2ld1	29	30	27	27	CD
cord-342591-6joc2ld1	29	31	]	]	-RRB-
cord-342591-6joc2ld1	29	32	[	[	-LRB-
cord-342591-6joc2ld1	29	33	28	28	CD
cord-342591-6joc2ld1	29	34	]	]	-RRB-
cord-342591-6joc2ld1	29	35	[	[	-LRB-
cord-342591-6joc2ld1	29	36	29	29	CD
cord-342591-6joc2ld1	29	37	]	]	-RRB-
cord-342591-6joc2ld1	29	38	.	.	.
cord-342591-6joc2ld1	30	1	4	4	LS
cord-342591-6joc2ld1	31	1	Many	many	JJ
cord-342591-6joc2ld1	31	2	research	research	NN
cord-342591-6joc2ld1	31	3	efforts	effort	NNS
cord-342591-6joc2ld1	31	4	have	have	VBP
cord-342591-6joc2ld1	31	5	been	be	VBN
cord-342591-6joc2ld1	31	6	widely	widely	RB
cord-342591-6joc2ld1	31	7	done	do	VBN
cord-342591-6joc2ld1	31	8	to	to	TO
cord-342591-6joc2ld1	31	9	control	control	VB
cord-342591-6joc2ld1	31	10	the	the	DT
cord-342591-6joc2ld1	31	11	outbreaks	outbreak	NNS
cord-342591-6joc2ld1	31	12	of	of	IN
cord-342591-6joc2ld1	31	13	epidemics	epidemic	NNS
cord-342591-6joc2ld1	31	14	via	via	IN
cord-342591-6joc2ld1	31	15	optimal	optimal	JJ
cord-342591-6joc2ld1	31	16	control	control	NN
cord-342591-6joc2ld1	31	17	[	[	-LRB-
cord-342591-6joc2ld1	31	18	20	20	CD
cord-342591-6joc2ld1	31	19	,	,	,
cord-342591-6joc2ld1	31	20	[	[	-LRB-
cord-342591-6joc2ld1	31	21	44	44	CD
cord-342591-6joc2ld1	31	22	]	]	-RRB-
cord-342591-6joc2ld1	31	23	[	[	-LRB-
cord-342591-6joc2ld1	31	24	45	45	CD
cord-342591-6joc2ld1	31	25	]	]	-RRB-
cord-342591-6joc2ld1	31	26	[	[	-LRB-
cord-342591-6joc2ld1	31	27	46	46	CD
cord-342591-6joc2ld1	31	28	]	]	-RRB-
cord-342591-6joc2ld1	31	29	[	[	-LRB-
cord-342591-6joc2ld1	31	30	47	47	CD
cord-342591-6joc2ld1	31	31	]	]	-RRB-
cord-342591-6joc2ld1	31	32	.	.	.
cord-342591-6joc2ld1	32	1	The	the	DT
cord-342591-6joc2ld1	32	2	optimal	optimal	JJ
cord-342591-6joc2ld1	32	3	control	control	NN
cord-342591-6joc2ld1	32	4	idea	idea	NN
cord-342591-6joc2ld1	32	5	is	be	VBZ
cord-342591-6joc2ld1	32	6	to	to	TO
cord-342591-6joc2ld1	32	7	look	look	VB
cord-342591-6joc2ld1	32	8	for	for	IN
cord-342591-6joc2ld1	32	9	the	the	DT
cord-342591-6joc2ld1	32	10	utmost	utmost	JJ
cord-342591-6joc2ld1	32	11	powerful	powerful	JJ
cord-342591-6joc2ld1	32	12	plan	plan	NN
cord-342591-6joc2ld1	32	13	that	that	WDT
cord-342591-6joc2ld1	32	14	decreases	decrease	VBZ
cord-342591-6joc2ld1	32	15	the	the	DT
cord-342591-6joc2ld1	32	16	rate	rate	NN
cord-342591-6joc2ld1	32	17	of	of	IN
cord-342591-6joc2ld1	32	18	infection	infection	NN
cord-342591-6joc2ld1	32	19	to	to	IN
cord-342591-6joc2ld1	32	20	a	a	DT
cord-342591-6joc2ld1	32	21	possible	possible	JJ
cord-342591-6joc2ld1	32	22	minimum	minimum	JJ
cord-342591-6joc2ld1	32	23	limit	limit	NN
cord-342591-6joc2ld1	32	24	with	with	IN
cord-342591-6joc2ld1	32	25	optimal	optimal	JJ
cord-342591-6joc2ld1	32	26	minimum	minimum	NN
cord-342591-6joc2ld1	32	27	cost	cost	NN
cord-342591-6joc2ld1	32	28	of	of	IN
cord-342591-6joc2ld1	32	29	circulating	circulate	VBG
cord-342591-6joc2ld1	32	30	a	a	DT
cord-342591-6joc2ld1	32	31	treatment	treatment	NN
cord-342591-6joc2ld1	32	32	or	or	CC
cord-342591-6joc2ld1	32	33	preventative	preventative	JJ
cord-342591-6joc2ld1	32	34	inoculation	inoculation	NN
cord-342591-6joc2ld1	32	35	[	[	-LRB-
cord-342591-6joc2ld1	32	36	39	39	CD
cord-342591-6joc2ld1	32	37	,	,	,
cord-342591-6joc2ld1	32	38	[	[	-LRB-
cord-342591-6joc2ld1	32	39	44	44	CD
cord-342591-6joc2ld1	32	40	]	]	-RRB-
cord-342591-6joc2ld1	32	41	[	[	-LRB-
cord-342591-6joc2ld1	32	42	45	45	CD
cord-342591-6joc2ld1	32	43	]	]	-RRB-
cord-342591-6joc2ld1	32	44	[	[	-LRB-
cord-342591-6joc2ld1	32	45	46	46	CD
cord-342591-6joc2ld1	32	46	]	]	-RRB-
cord-342591-6joc2ld1	32	47	[	[	-LRB-
cord-342591-6joc2ld1	32	48	47	47	CD
cord-342591-6joc2ld1	32	49	]	]	-RRB-
cord-342591-6joc2ld1	32	50	51	51	CD
cord-342591-6joc2ld1	32	51	]	]	-RRB-
cord-342591-6joc2ld1	32	52	.	.	.
cord-342591-6joc2ld1	33	1	These	these	DT
cord-342591-6joc2ld1	33	2	plans	plan	NNS
cord-342591-6joc2ld1	33	3	may	may	MD
cord-342591-6joc2ld1	33	4	include	include	VB
cord-342591-6joc2ld1	33	5	treatments	treatment	NNS
cord-342591-6joc2ld1	33	6	,	,	,
cord-342591-6joc2ld1	33	7	inoculation	inoculation	NN
cord-342591-6joc2ld1	33	8	with	with	IN
cord-342591-6joc2ld1	33	9	vaccines	vaccine	NNS
cord-342591-6joc2ld1	33	10	,	,	,
cord-342591-6joc2ld1	33	11	social	social	JJ
cord-342591-6joc2ld1	33	12	distances	distance	NNS
cord-342591-6joc2ld1	33	13	,	,	,
cord-342591-6joc2ld1	33	14	educational	educational	JJ
cord-342591-6joc2ld1	33	15	programs	program	NNS
cord-342591-6joc2ld1	33	16	[	[	-LRB-
cord-342591-6joc2ld1	33	17	6	6	CD
cord-342591-6joc2ld1	33	18	,	,	,
cord-342591-6joc2ld1	33	19	10	10	CD
cord-342591-6joc2ld1	33	20	]	]	-RRB-
cord-342591-6joc2ld1	33	21	.	.	.
cord-342591-6joc2ld1	34	1	Studying	study	VBG
cord-342591-6joc2ld1	34	2	the	the	DT
cord-342591-6joc2ld1	34	3	epidemiological	epidemiological	JJ
cord-342591-6joc2ld1	34	4	diseases	disease	NNS
cord-342591-6joc2ld1	34	5	mathematically	mathematically	RB
cord-342591-6joc2ld1	34	6	become	become	VBP
cord-342591-6joc2ld1	34	7	very	very	RB
cord-342591-6joc2ld1	34	8	important	important	JJ
cord-342591-6joc2ld1	34	9	[	[	-LRB-
cord-342591-6joc2ld1	34	10	6	6	CD
cord-342591-6joc2ld1	34	11	,	,	,
cord-342591-6joc2ld1	34	12	7	7	CD
cord-342591-6joc2ld1	34	13	,	,	,
cord-342591-6joc2ld1	34	14	16	16	CD
cord-342591-6joc2ld1	34	15	,	,	,
cord-342591-6joc2ld1	34	16	17	17	CD
cord-342591-6joc2ld1	34	17	,	,	,
cord-342591-6joc2ld1	34	18	37	37	CD
cord-342591-6joc2ld1	34	19	,	,	,
cord-342591-6joc2ld1	34	20	40	40	CD
cord-342591-6joc2ld1	34	21	]	]	-RRB-
cord-342591-6joc2ld1	34	22	.	.	.
cord-342591-6joc2ld1	35	1	The	the	DT
cord-342591-6joc2ld1	35	2	literature	literature	NN
cord-342591-6joc2ld1	35	3	has	have	VBZ
cord-342591-6joc2ld1	35	4	several	several	JJ
cord-342591-6joc2ld1	35	5	studies	study	NNS
cord-342591-6joc2ld1	35	6	to	to	TO
cord-342591-6joc2ld1	35	7	control	control	VB
cord-342591-6joc2ld1	35	8	for	for	IN
cord-342591-6joc2ld1	35	9	example	example	NN
cord-342591-6joc2ld1	35	10	models	model	NNS
cord-342591-6joc2ld1	35	11	of	of	IN
cord-342591-6joc2ld1	35	12	HIV	HIV	NNP
cord-342591-6joc2ld1	35	13	[	[	-LRB-
cord-342591-6joc2ld1	35	14	24	24	CD
cord-342591-6joc2ld1	35	15	]	]	-RRB-
cord-342591-6joc2ld1	35	16	,	,	,
cord-342591-6joc2ld1	35	17	dengue	dengue	NN
cord-342591-6joc2ld1	35	18	fever	fever	NN
cord-342591-6joc2ld1	35	19	[	[	-LRB-
cord-342591-6joc2ld1	35	20	2	2	CD
cord-342591-6joc2ld1	35	21	]	]	-RRB-
cord-342591-6joc2ld1	35	22	,	,	,
cord-342591-6joc2ld1	35	23	tuberculosis	tuberculosis	NN
cord-342591-6joc2ld1	35	24	[	[	-LRB-
cord-342591-6joc2ld1	35	25	50	50	CD
cord-342591-6joc2ld1	35	26	]	]	-RRB-
cord-342591-6joc2ld1	35	27	,	,	,
cord-342591-6joc2ld1	35	28	delayed	delay	VBD
cord-342591-6joc2ld1	35	29	SIR	SIR	NNP
cord-342591-6joc2ld1	35	30	[	[	-LRB-
cord-342591-6joc2ld1	35	31	1	1	CD
cord-342591-6joc2ld1	35	32	]	]	-RRB-
cord-342591-6joc2ld1	35	33	and	and	CC
cord-342591-6joc2ld1	35	34	delayed	delay	VBN
cord-342591-6joc2ld1	35	35	SIRS	SIRS	NNP
cord-342591-6joc2ld1	35	36	[	[	-LRB-
cord-342591-6joc2ld1	35	37	29	29	CD
cord-342591-6joc2ld1	35	38	,	,	,
cord-342591-6joc2ld1	35	39	58	58	CD
cord-342591-6joc2ld1	35	40	]	]	-RRB-
cord-342591-6joc2ld1	35	41	.	.	.
cord-342591-6joc2ld1	36	1	The	the	DT
cord-342591-6joc2ld1	36	2	fractional	fractional	JJ
cord-342591-6joc2ld1	36	3	order	order	NN
cord-342591-6joc2ld1	36	4	differential	differential	NN
cord-342591-6joc2ld1	36	5	equations	equation	NNS
cord-342591-6joc2ld1	36	6	add	add	VBP
cord-342591-6joc2ld1	36	7	an	an	DT
cord-342591-6joc2ld1	36	8	extra	extra	JJ
cord-342591-6joc2ld1	36	9	dimensions	dimension	NNS
cord-342591-6joc2ld1	36	10	in	in	IN
cord-342591-6joc2ld1	36	11	the	the	DT
cord-342591-6joc2ld1	36	12	study	study	NN
cord-342591-6joc2ld1	36	13	of	of	IN
cord-342591-6joc2ld1	36	14	dynamics	dynamic	NNS
cord-342591-6joc2ld1	36	15	of	of	IN
cord-342591-6joc2ld1	36	16	epidemiological	epidemiological	JJ
cord-342591-6joc2ld1	36	17	models	model	NNS
cord-342591-6joc2ld1	36	18	.	.	.
cord-342591-6joc2ld1	37	1	Therefore	therefore	RB
cord-342591-6joc2ld1	37	2	the	the	DT
cord-342591-6joc2ld1	37	3	fractional	fractional	JJ
cord-342591-6joc2ld1	37	4	version	version	NN
cord-342591-6joc2ld1	37	5	of	of	IN
cord-342591-6joc2ld1	37	6	many	many	JJ
cord-342591-6joc2ld1	37	7	epidemical	epidemical	JJ
cord-342591-6joc2ld1	37	8	models	model	NNS
cord-342591-6joc2ld1	37	9	have	have	VBP
cord-342591-6joc2ld1	37	10	been	be	VBN
cord-342591-6joc2ld1	37	11	investigated	investigate	VBN
cord-342591-6joc2ld1	37	12	as	as	IN
cord-342591-6joc2ld1	37	13	in	in	IN
cord-342591-6joc2ld1	37	14	[	[	-LRB-
cord-342591-6joc2ld1	37	15	29	29	CD
cord-342591-6joc2ld1	37	16	]	]	-RRB-
cord-342591-6joc2ld1	37	17	[	[	-LRB-
cord-342591-6joc2ld1	37	18	30	30	CD
cord-342591-6joc2ld1	37	19	]	]	-RRB-
cord-342591-6joc2ld1	37	20	[	[	-LRB-
cord-342591-6joc2ld1	37	21	31	31	CD
cord-342591-6joc2ld1	37	22	]	]	-RRB-
cord-342591-6joc2ld1	37	23	[	[	-LRB-
cord-342591-6joc2ld1	37	24	32	32	CD
cord-342591-6joc2ld1	37	25	]	]	-RRB-
cord-342591-6joc2ld1	37	26	,	,	,
cord-342591-6joc2ld1	37	27	[	[	-LRB-
cord-342591-6joc2ld1	37	28	39	39	CD
cord-342591-6joc2ld1	37	29	,	,	,
cord-342591-6joc2ld1	37	30	41	41	CD
cord-342591-6joc2ld1	37	31	]	]	-RRB-
cord-342591-6joc2ld1	37	32	and	and	CC
cord-342591-6joc2ld1	37	33	[	[	-LRB-
cord-342591-6joc2ld1	37	34	53	53	CD
cord-342591-6joc2ld1	37	35	]	]	-RRB-
cord-342591-6joc2ld1	37	36	.	.	.
cord-342591-6joc2ld1	38	1	Here	here	RB
cord-342591-6joc2ld1	38	2	,	,	,
cord-342591-6joc2ld1	38	3	a	a	DT
cord-342591-6joc2ld1	38	4	new	new	JJ
cord-342591-6joc2ld1	38	5	epidemiological	epidemiological	JJ
cord-342591-6joc2ld1	38	6	fractional	fractional	JJ
cord-342591-6joc2ld1	38	7	mathematical	mathematical	JJ
cord-342591-6joc2ld1	38	8	model	model	NN
cord-342591-6joc2ld1	38	9	for	for	IN
cord-342591-6joc2ld1	38	10	the	the	DT
cord-342591-6joc2ld1	38	11	COVID-19	covid-19	JJ
cord-342591-6joc2ld1	38	12	epidemic	epidemic	NN
cord-342591-6joc2ld1	38	13	is	be	VBZ
cord-342591-6joc2ld1	38	14	proposed	propose	VBN
cord-342591-6joc2ld1	38	15	as	as	IN
cord-342591-6joc2ld1	38	16	an	an	DT
cord-342591-6joc2ld1	38	17	extension	extension	NN
cord-342591-6joc2ld1	38	18	of	of	IN
cord-342591-6joc2ld1	38	19	the	the	DT
cord-342591-6joc2ld1	38	20	classical	classical	JJ
cord-342591-6joc2ld1	38	21	SIR	SIR	NNP
cord-342591-6joc2ld1	38	22	model	model	NN
cord-342591-6joc2ld1	38	23	,	,	,
cord-342591-6joc2ld1	38	24	similar	similar	JJ
cord-342591-6joc2ld1	38	25	to	to	IN
cord-342591-6joc2ld1	38	26	that	that	DT
cord-342591-6joc2ld1	38	27	introduced	introduce	VBN
cord-342591-6joc2ld1	38	28	by	by	IN
cord-342591-6joc2ld1	38	29	Gumel	Gumel	NNP
cord-342591-6joc2ld1	38	30	et	et	NNP
cord-342591-6joc2ld1	38	31	al	al	NNP
cord-342591-6joc2ld1	38	32	.	.	.
cord-342591-6joc2ld1	39	1	for	for	IN
cord-342591-6joc2ld1	39	2	SARS	SARS	NNP
cord-342591-6joc2ld1	39	3	in	in	IN
cord-342591-6joc2ld1	39	4	[	[	-LRB-
cord-342591-6joc2ld1	39	5	23	23	CD
cord-342591-6joc2ld1	39	6	]	]	-RRB-
cord-342591-6joc2ld1	39	7	and	and	CC
cord-342591-6joc2ld1	39	8	as	as	IN
cord-342591-6joc2ld1	39	9	a	a	DT
cord-342591-6joc2ld1	39	10	generalization	generalization	NN
cord-342591-6joc2ld1	39	11	of	of	IN
cord-342591-6joc2ld1	39	12	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	39	13	model	model	NN
cord-342591-6joc2ld1	39	14	proposed	propose	VBN
cord-342591-6joc2ld1	39	15	in	in	IN
cord-342591-6joc2ld1	39	16	[	[	-LRB-
cord-342591-6joc2ld1	39	17	21	21	CD
cord-342591-6joc2ld1	39	18	]	]	-RRB-
cord-342591-6joc2ld1	39	19	.	.	.
cord-342591-6joc2ld1	40	1	As	as	IN
cord-342591-6joc2ld1	40	2	explained	explain	VBN
cord-342591-6joc2ld1	40	3	in	in	IN
cord-342591-6joc2ld1	40	4	Section	section	NN
cord-342591-6joc2ld1	40	5	3	3	CD
cord-342591-6joc2ld1	40	6	,	,	,
cord-342591-6joc2ld1	40	7	in	in	IN
cord-342591-6joc2ld1	40	8	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	40	9	model	model	NN
cord-342591-6joc2ld1	40	10	,	,	,
cord-342591-6joc2ld1	40	11	the	the	DT
cord-342591-6joc2ld1	40	12	infected	infected	JJ
cord-342591-6joc2ld1	40	13	cases	case	NNS
cord-342591-6joc2ld1	40	14	are	be	VBP
cord-342591-6joc2ld1	40	15	classified	classify	VBN
cord-342591-6joc2ld1	40	16	into	into	IN
cord-342591-6joc2ld1	40	17	five	five	CD
cord-342591-6joc2ld1	40	18	different	different	JJ
cord-342591-6joc2ld1	40	19	classes	class	NNS
cord-342591-6joc2ld1	40	20	depending	depend	VBG
cord-342591-6joc2ld1	40	21	on	on	IN
cord-342591-6joc2ld1	40	22	the	the	DT
cord-342591-6joc2ld1	40	23	detection	detection	NN
cord-342591-6joc2ld1	40	24	and	and	CC
cord-342591-6joc2ld1	40	25	the	the	DT
cord-342591-6joc2ld1	40	26	appearance	appearance	NN
cord-342591-6joc2ld1	40	27	of	of	IN
cord-342591-6joc2ld1	40	28	symptoms	symptom	NNS
cord-342591-6joc2ld1	40	29	[	[	-LRB-
cord-342591-6joc2ld1	40	30	21	21	CD
cord-342591-6joc2ld1	40	31	]	]	-RRB-
cord-342591-6joc2ld1	40	32	.	.	.
cord-342591-6joc2ld1	41	1	In	in	IN
cord-342591-6joc2ld1	41	2	this	this	DT
cord-342591-6joc2ld1	41	3	work	work	NN
cord-342591-6joc2ld1	41	4	,	,	,
cord-342591-6joc2ld1	41	5	we	-PRON-	PRP
cord-342591-6joc2ld1	41	6	consider	consider	VBP
cord-342591-6joc2ld1	41	7	the	the	DT
cord-342591-6joc2ld1	41	8	fractional	fractional	JJ
cord-342591-6joc2ld1	41	9	order	order	NN
cord-342591-6joc2ld1	41	10	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	41	11	model	model	NN
cord-342591-6joc2ld1	42	1	and	and	CC
cord-342591-6joc2ld1	42	2	then	then	RB
cord-342591-6joc2ld1	42	3	we	-PRON-	PRP
cord-342591-6joc2ld1	42	4	derive	derive	VBP
cord-342591-6joc2ld1	42	5	the	the	DT
cord-342591-6joc2ld1	42	6	fractional	fractional	JJ
cord-342591-6joc2ld1	42	7	order	order	NN
cord-342591-6joc2ld1	42	8	necessary	necessary	JJ
cord-342591-6joc2ld1	42	9	conditions	condition	NNS
cord-342591-6joc2ld1	42	10	for	for	IN
cord-342591-6joc2ld1	42	11	existence	existence	NN
cord-342591-6joc2ld1	42	12	of	of	IN
cord-342591-6joc2ld1	42	13	a	a	DT
cord-342591-6joc2ld1	42	14	stable	stable	JJ
cord-342591-6joc2ld1	42	15	solution	solution	NN
cord-342591-6joc2ld1	42	16	.	.	.
cord-342591-6joc2ld1	43	1	In	in	IN
cord-342591-6joc2ld1	43	2	addition	addition	NN
cord-342591-6joc2ld1	43	3	,	,	,
cord-342591-6joc2ld1	43	4	we	-PRON-	PRP
cord-342591-6joc2ld1	43	5	study	study	VBP
cord-342591-6joc2ld1	43	6	an	an	DT
cord-342591-6joc2ld1	43	7	optimal	optimal	JJ
cord-342591-6joc2ld1	43	8	control	control	NN
cord-342591-6joc2ld1	43	9	plans	plan	NNS
cord-342591-6joc2ld1	43	10	for	for	IN
cord-342591-6joc2ld1	43	11	the	the	DT
cord-342591-6joc2ld1	43	12	fractional	fractional	JJ
cord-342591-6joc2ld1	43	13	order	order	NN
cord-342591-6joc2ld1	43	14	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	43	15	model	model	NN
cord-342591-6joc2ld1	43	16	via	via	IN
cord-342591-6joc2ld1	43	17	four	four	CD
cord-342591-6joc2ld1	43	18	control	control	NN
cord-342591-6joc2ld1	43	19	strategies	strategy	NNS
cord-342591-6joc2ld1	43	20	that	that	WDT
cord-342591-6joc2ld1	43	21	include	include	VBP
cord-342591-6joc2ld1	43	22	the	the	DT
cord-342591-6joc2ld1	43	23	availability	availability	NN
cord-342591-6joc2ld1	43	24	of	of	IN
cord-342591-6joc2ld1	43	25	vaccination	vaccination	NN
cord-342591-6joc2ld1	43	26	and	and	CC
cord-342591-6joc2ld1	43	27	existence	existence	NN
cord-342591-6joc2ld1	43	28	of	of	IN
cord-342591-6joc2ld1	43	29	treatments	treatment	NNS
cord-342591-6joc2ld1	43	30	for	for	IN
cord-342591-6joc2ld1	43	31	the	the	DT
cord-342591-6joc2ld1	43	32	infected	infect	VBN
cord-342591-6joc2ld1	43	33	detected	detect	VBN
cord-342591-6joc2ld1	43	34	three	three	CD
cord-342591-6joc2ld1	43	35	population	population	NN
cord-342591-6joc2ld1	43	36	fraction	fraction	NN
cord-342591-6joc2ld1	43	37	phases	phase	NNS
cord-342591-6joc2ld1	43	38	.	.	.
cord-342591-6joc2ld1	44	1	Applying	apply	VBG
cord-342591-6joc2ld1	44	2	the	the	DT
cord-342591-6joc2ld1	44	3	fractional	fractional	JJ
cord-342591-6joc2ld1	44	4	order	order	NN
cord-342591-6joc2ld1	44	5	differential	differential	NN
cord-342591-6joc2ld1	44	6	equations	equation	NNS
cord-342591-6joc2ld1	44	7	numerical	numerical	JJ
cord-342591-6joc2ld1	44	8	solver	solver	NN
cord-342591-6joc2ld1	44	9	using	use	VBG
cord-342591-6joc2ld1	44	10	MATLAB	MATLAB	NNP
cord-342591-6joc2ld1	44	11	software	software	NN
cord-342591-6joc2ld1	44	12	,	,	,
cord-342591-6joc2ld1	44	13	we	-PRON-	PRP
cord-342591-6joc2ld1	44	14	show	show	VBP
cord-342591-6joc2ld1	44	15	the	the	DT
cord-342591-6joc2ld1	44	16	dynamics	dynamic	NNS
cord-342591-6joc2ld1	44	17	of	of	IN
cord-342591-6joc2ld1	44	18	the	the	DT
cord-342591-6joc2ld1	44	19	state	state	NN
cord-342591-6joc2ld1	44	20	variables	variable	NNS
cord-342591-6joc2ld1	44	21	of	of	IN
cord-342591-6joc2ld1	44	22	the	the	DT
cord-342591-6joc2ld1	44	23	model	model	NN
cord-342591-6joc2ld1	44	24	and	and	CC
cord-342591-6joc2ld1	44	25	display	display	VB
cord-342591-6joc2ld1	44	26	the	the	DT
cord-342591-6joc2ld1	44	27	effect	effect	NN
cord-342591-6joc2ld1	44	28	of	of	IN
cord-342591-6joc2ld1	44	29	changing	change	VBG
cord-342591-6joc2ld1	44	30	the	the	DT
cord-342591-6joc2ld1	44	31	fractional	fractional	JJ
cord-342591-6joc2ld1	44	32	derivative	derivative	JJ
cord-342591-6joc2ld1	44	33	order	order	NN
cord-342591-6joc2ld1	44	34	on	on	IN
cord-342591-6joc2ld1	44	35	the	the	DT
cord-342591-6joc2ld1	44	36	system	system	NN
cord-342591-6joc2ld1	44	37	response	response	NN
cord-342591-6joc2ld1	44	38	.	.	.
cord-342591-6joc2ld1	45	1	Also	also	RB
cord-342591-6joc2ld1	45	2	,	,	,
cord-342591-6joc2ld1	45	3	the	the	DT
cord-342591-6joc2ld1	45	4	effect	effect	NN
cord-342591-6joc2ld1	45	5	of	of	IN
cord-342591-6joc2ld1	45	6	changing	change	VBG
cord-342591-6joc2ld1	45	7	the	the	DT
cord-342591-6joc2ld1	45	8	infection	infection	NN
cord-342591-6joc2ld1	45	9	rates	rate	NNS
cord-342591-6joc2ld1	45	10	on	on	IN
cord-342591-6joc2ld1	45	11	the	the	DT
cord-342591-6joc2ld1	45	12	fractional	fractional	JJ
cord-342591-6joc2ld1	45	13	order	order	NN
cord-342591-6joc2ld1	45	14	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	45	15	model	model	NN
cord-342591-6joc2ld1	45	16	's	's	POS
cord-342591-6joc2ld1	45	17	state	state	NN
cord-342591-6joc2ld1	45	18	5	5	CD
cord-342591-6joc2ld1	45	19	variables	variable	NNS
cord-342591-6joc2ld1	45	20	.	.	.
cord-342591-6joc2ld1	46	1	We	-PRON-	PRP
cord-342591-6joc2ld1	46	2	also	also	RB
cord-342591-6joc2ld1	46	3	implement	implement	VBP
cord-342591-6joc2ld1	46	4	the	the	DT
cord-342591-6joc2ld1	46	5	optimal	optimal	JJ
cord-342591-6joc2ld1	46	6	control	control	NN
cord-342591-6joc2ld1	46	7	strategies	strategy	NNS
cord-342591-6joc2ld1	46	8	numerically	numerically	RB
cord-342591-6joc2ld1	46	9	for	for	IN
cord-342591-6joc2ld1	46	10	the	the	DT
cord-342591-6joc2ld1	46	11	fractional	fractional	JJ
cord-342591-6joc2ld1	46	12	order	order	NN
cord-342591-6joc2ld1	46	13	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	46	14	model	model	NN
cord-342591-6joc2ld1	46	15	.	.	.
cord-342591-6joc2ld1	47	1	The	the	DT
cord-342591-6joc2ld1	47	2	remaining	remain	VBG
cord-342591-6joc2ld1	47	3	parts	part	NNS
cord-342591-6joc2ld1	47	4	of	of	IN
cord-342591-6joc2ld1	47	5	the	the	DT
cord-342591-6joc2ld1	47	6	paper	paper	NN
cord-342591-6joc2ld1	47	7	are	be	VBP
cord-342591-6joc2ld1	47	8	organized	organize	VBN
cord-342591-6joc2ld1	47	9	as	as	IN
cord-342591-6joc2ld1	47	10	follows	follow	VBZ
cord-342591-6joc2ld1	47	11	.	.	.
cord-342591-6joc2ld1	48	1	In	in	IN
cord-342591-6joc2ld1	48	2	Section	section	NN
cord-342591-6joc2ld1	48	3	2	2	CD
cord-342591-6joc2ld1	48	4	,	,	,
cord-342591-6joc2ld1	48	5	Preliminaries	Preliminaries	NNPS
cord-342591-6joc2ld1	48	6	and	and	CC
cord-342591-6joc2ld1	48	7	basic	basic	JJ
cord-342591-6joc2ld1	48	8	definition	definition	NN
cord-342591-6joc2ld1	48	9	of	of	IN
cord-342591-6joc2ld1	48	10	the	the	DT
cord-342591-6joc2ld1	48	11	fractional	fractional	JJ
cord-342591-6joc2ld1	48	12	derivative	derivative	NN
cord-342591-6joc2ld1	48	13	are	be	VBP
cord-342591-6joc2ld1	48	14	introduced	introduce	VBN
cord-342591-6joc2ld1	48	15	.	.	.
cord-342591-6joc2ld1	49	1	Describing	describe	VBG
cord-342591-6joc2ld1	49	2	COVID-19	covid-19	JJ
cord-342591-6joc2ld1	49	3	epidemic	epidemic	NN
cord-342591-6joc2ld1	49	4	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	49	5	fractional	fractional	JJ
cord-342591-6joc2ld1	49	6	mathematical	mathematical	JJ
cord-342591-6joc2ld1	49	7	model	model	NN
cord-342591-6joc2ld1	49	8	is	be	VBZ
cord-342591-6joc2ld1	49	9	introduced	introduce	VBN
cord-342591-6joc2ld1	49	10	in	in	IN
cord-342591-6joc2ld1	49	11	Section	section	NN
cord-342591-6joc2ld1	49	12	3	3	CD
cord-342591-6joc2ld1	49	13	.	.	.
cord-342591-6joc2ld1	50	1	The	the	DT
cord-342591-6joc2ld1	50	2	details	detail	NNS
cord-342591-6joc2ld1	50	3	of	of	IN
cord-342591-6joc2ld1	50	4	the	the	DT
cord-342591-6joc2ld1	50	5	optimal	optimal	JJ
cord-342591-6joc2ld1	50	6	control	control	NN
cord-342591-6joc2ld1	50	7	strategy	strategy	NN
cord-342591-6joc2ld1	50	8	and	and	CC
cord-342591-6joc2ld1	50	9	its	-PRON-	PRP$
cord-342591-6joc2ld1	50	10	implementation	implementation	NN
cord-342591-6joc2ld1	50	11	are	be	VBP
cord-342591-6joc2ld1	50	12	given	give	VBN
cord-342591-6joc2ld1	50	13	in	in	IN
cord-342591-6joc2ld1	50	14	Section	section	NN
cord-342591-6joc2ld1	50	15	4	4	CD
cord-342591-6joc2ld1	50	16	.	.	.
cord-342591-6joc2ld1	51	1	Numerical	numerical	JJ
cord-342591-6joc2ld1	51	2	simulations	simulation	NNS
cord-342591-6joc2ld1	51	3	of	of	IN
cord-342591-6joc2ld1	51	4	the	the	DT
cord-342591-6joc2ld1	51	5	uncontrolled	uncontrolled	JJ
cord-342591-6joc2ld1	51	6	fractional	fractional	JJ
cord-342591-6joc2ld1	51	7	order	order	NN
cord-342591-6joc2ld1	51	8	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	51	9	model	model	NN
cord-342591-6joc2ld1	51	10	,	,	,
cord-342591-6joc2ld1	51	11	the	the	DT
cord-342591-6joc2ld1	51	12	effects	effect	NNS
cord-342591-6joc2ld1	51	13	of	of	IN
cord-342591-6joc2ld1	51	14	changing	change	VBG
cord-342591-6joc2ld1	51	15	the	the	DT
cord-342591-6joc2ld1	51	16	fractional	fractional	JJ
cord-342591-6joc2ld1	51	17	derivative	derivative	JJ
cord-342591-6joc2ld1	51	18	order	order	NN
cord-342591-6joc2ld1	51	19	on	on	IN
cord-342591-6joc2ld1	51	20	the	the	DT
cord-342591-6joc2ld1	51	21	system	system	NN
cord-342591-6joc2ld1	51	22	response	response	NN
cord-342591-6joc2ld1	51	23	and	and	CC
cord-342591-6joc2ld1	51	24	the	the	DT
cord-342591-6joc2ld1	51	25	effects	effect	NNS
cord-342591-6joc2ld1	51	26	of	of	IN
cord-342591-6joc2ld1	51	27	changing	change	VBG
cord-342591-6joc2ld1	51	28	the	the	DT
cord-342591-6joc2ld1	51	29	infection	infection	NN
cord-342591-6joc2ld1	51	30	rates	rate	NNS
cord-342591-6joc2ld1	51	31	are	be	VBP
cord-342591-6joc2ld1	51	32	all	all	DT
cord-342591-6joc2ld1	51	33	given	give	VBN
cord-342591-6joc2ld1	51	34	in	in	IN
cord-342591-6joc2ld1	51	35	Section	section	NN
cord-342591-6joc2ld1	51	36	5	5	CD
cord-342591-6joc2ld1	51	37	.	.	.
cord-342591-6joc2ld1	52	1	Numerical	numerical	JJ
cord-342591-6joc2ld1	52	2	simulations	simulation	NNS
cord-342591-6joc2ld1	52	3	of	of	IN
cord-342591-6joc2ld1	52	4	the	the	DT
cord-342591-6joc2ld1	52	5	controlled	control	VBN
cord-342591-6joc2ld1	52	6	fractional	fractional	JJ
cord-342591-6joc2ld1	52	7	order	order	NN
cord-342591-6joc2ld1	52	8	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	52	9	model	model	NN
cord-342591-6joc2ld1	52	10	and	and	CC
cord-342591-6joc2ld1	52	11	the	the	DT
cord-342591-6joc2ld1	52	12	effects	effect	NNS
cord-342591-6joc2ld1	52	13	of	of	IN
cord-342591-6joc2ld1	52	14	applying	apply	VBG
cord-342591-6joc2ld1	52	15	the	the	DT
cord-342591-6joc2ld1	52	16	proposed	propose	VBN
cord-342591-6joc2ld1	52	17	control	control	NN
cord-342591-6joc2ld1	52	18	strategies	strategy	NNS
cord-342591-6joc2ld1	52	19	are	be	VBP
cord-342591-6joc2ld1	52	20	represented	represent	VBN
cord-342591-6joc2ld1	52	21	in	in	IN
cord-342591-6joc2ld1	52	22	Section	section	NN
cord-342591-6joc2ld1	52	23	6	6	CD
cord-342591-6joc2ld1	52	24	.	.	.
cord-342591-6joc2ld1	53	1	The	the	DT
cord-342591-6joc2ld1	53	2	concluding	conclude	VBG
cord-342591-6joc2ld1	53	3	remarks	remark	NNS
cord-342591-6joc2ld1	53	4	are	be	VBP
cord-342591-6joc2ld1	53	5	put	put	VBN
cord-342591-6joc2ld1	53	6	in	in	IN
cord-342591-6joc2ld1	53	7	Section	section	NN
cord-342591-6joc2ld1	53	8	7	7	CD
cord-342591-6joc2ld1	53	9	followed	follow	VBN
cord-342591-6joc2ld1	53	10	by	by	IN
cord-342591-6joc2ld1	53	11	the	the	DT
cord-342591-6joc2ld1	53	12	list	list	NN
cord-342591-6joc2ld1	53	13	of	of	IN
cord-342591-6joc2ld1	53	14	cited	cited	JJ
cord-342591-6joc2ld1	53	15	references	reference	NNS
cord-342591-6joc2ld1	53	16	.	.	.
cord-342591-6joc2ld1	54	1	Many	many	JJ
cord-342591-6joc2ld1	54	2	definitions	definition	NNS
cord-342591-6joc2ld1	54	3	of	of	IN
cord-342591-6joc2ld1	54	4	fractional	fractional	JJ
cord-342591-6joc2ld1	54	5	order	order	NN
cord-342591-6joc2ld1	54	6	derivatives	derivative	NNS
cord-342591-6joc2ld1	54	7	exist	exist	VBP
cord-342591-6joc2ld1	54	8	such	such	JJ
cord-342591-6joc2ld1	54	9	as	as	IN
cord-342591-6joc2ld1	54	10	Riemann	Riemann	NNP
cord-342591-6joc2ld1	54	11	-	-	HYPH
cord-342591-6joc2ld1	54	12	Lioville	Lioville	NNP
cord-342591-6joc2ld1	54	13	's	's	POS
cord-342591-6joc2ld1	54	14	derivative	derivative	NN
cord-342591-6joc2ld1	54	15	,	,	,
cord-342591-6joc2ld1	54	16	Grunwald	Grunwald	NNP
cord-342591-6joc2ld1	54	17	Letnikov	Letnikov	NNP
cord-342591-6joc2ld1	54	18	's	's	POS
cord-342591-6joc2ld1	54	19	derivative	derivative	JJ
cord-342591-6joc2ld1	54	20	,	,	,
cord-342591-6joc2ld1	54	21	Caputo	Caputo	NNP
cord-342591-6joc2ld1	54	22	's	's	POS
cord-342591-6joc2ld1	54	23	derivative	derivative	JJ
cord-342591-6joc2ld1	54	24	,	,	,
cord-342591-6joc2ld1	54	25	Caputo	Caputo	NNP
cord-342591-6joc2ld1	54	26	-	-	HYPH
cord-342591-6joc2ld1	54	27	Fabrizio	Fabrizio	NNP
cord-342591-6joc2ld1	54	28	,	,	,
cord-342591-6joc2ld1	54	29	Atangana	Atangana	NNP
cord-342591-6joc2ld1	54	30	-	-	HYPH
cord-342591-6joc2ld1	54	31	Baleanu	Baleanu	NNP
cord-342591-6joc2ld1	54	32	,	,	,
cord-342591-6joc2ld1	54	33	etc	etc	FW
cord-342591-6joc2ld1	54	34	.	.	.
cord-342591-6joc2ld1	55	1	The	the	DT
cord-342591-6joc2ld1	55	2	interested	interested	JJ
cord-342591-6joc2ld1	55	3	reader	reader	NN
cord-342591-6joc2ld1	55	4	can	can	MD
cord-342591-6joc2ld1	55	5	consult	consult	VB
cord-342591-6joc2ld1	55	6	for	for	IN
cord-342591-6joc2ld1	55	7	example	example	NN
cord-342591-6joc2ld1	55	8	[	[	-LRB-
cord-342591-6joc2ld1	55	9	42	42	CD
cord-342591-6joc2ld1	55	10	,	,	,
cord-342591-6joc2ld1	55	11	43	43	CD
cord-342591-6joc2ld1	55	12	]	]	-RRB-
cord-342591-6joc2ld1	55	13	and	and	CC
cord-342591-6joc2ld1	55	14	the	the	DT
cord-342591-6joc2ld1	55	15	references	reference	NNS
cord-342591-6joc2ld1	55	16	therein	therein	RB
cord-342591-6joc2ld1	55	17	for	for	IN
cord-342591-6joc2ld1	55	18	more	more	JJR
cord-342591-6joc2ld1	55	19	details	detail	NNS
cord-342591-6joc2ld1	55	20	about	about	IN
cord-342591-6joc2ld1	55	21	fractional	fractional	JJ
cord-342591-6joc2ld1	55	22	order	order	NN
cord-342591-6joc2ld1	55	23	defintions	defintion	NNS
cord-342591-6joc2ld1	55	24	with	with	IN
cord-342591-6joc2ld1	55	25	applications	application	NNS
cord-342591-6joc2ld1	55	26	.	.	.
cord-342591-6joc2ld1	56	1	We	-PRON-	PRP
cord-342591-6joc2ld1	56	2	have	have	VBP
cord-342591-6joc2ld1	56	3	used	use	VBN
cord-342591-6joc2ld1	56	4	Caputo	Caputo	NNP
cord-342591-6joc2ld1	56	5	's	's	POS
cord-342591-6joc2ld1	56	6	definition	definition	NN
cord-342591-6joc2ld1	56	7	throughout	throughout	IN
cord-342591-6joc2ld1	56	8	the	the	DT
cord-342591-6joc2ld1	56	9	paper	paper	NN
cord-342591-6joc2ld1	56	10	.	.	.
cord-342591-6joc2ld1	57	1	Caputo	Caputo	NNP
cord-342591-6joc2ld1	57	2	fractional	fractional	JJ
cord-342591-6joc2ld1	57	3	derivative	derivative	JJ
cord-342591-6joc2ld1	57	4	operator	operator	NN
cord-342591-6joc2ld1	57	5	q	q	NN
cord-342591-6joc2ld1	57	6			NN
cord-342591-6joc2ld1	57	7	of	of	IN
cord-342591-6joc2ld1	57	8	order	order	NN
cord-342591-6joc2ld1	58	1	q	q	NNP
cord-342591-6joc2ld1	58	2	(	(	-LRB-
cord-342591-6joc2ld1	58	3	see	see	VB
cord-342591-6joc2ld1	58	4	[	[	-LRB-
cord-342591-6joc2ld1	58	5	18	18	CD
cord-342591-6joc2ld1	58	6	,	,	,
cord-342591-6joc2ld1	58	7	30	30	CD
cord-342591-6joc2ld1	58	8	,	,	,
cord-342591-6joc2ld1	58	9	39	39	CD
cord-342591-6joc2ld1	58	10	,	,	,
cord-342591-6joc2ld1	58	11	42	42	CD
cord-342591-6joc2ld1	58	12	,	,	,
cord-342591-6joc2ld1	58	13	43	43	CD
cord-342591-6joc2ld1	58	14	,	,	,
cord-342591-6joc2ld1	58	15	49	49	CD
cord-342591-6joc2ld1	58	16	]	]	-RRB-
cord-342591-6joc2ld1	58	17	)	)	-RRB-
cord-342591-6joc2ld1	58	18	is	be	VBZ
cord-342591-6joc2ld1	58	19	defined	define	VBN
cord-342591-6joc2ld1	58	20	as	as	IN
cord-342591-6joc2ld1	58	21	:	:	:
cord-342591-6joc2ld1	58	22	symbolizes	symbolize	VBZ
cord-342591-6joc2ld1	58	23	the	the	DT
cord-342591-6joc2ld1	58	24	Gamma	Gamma	NNP
cord-342591-6joc2ld1	58	25	function	function	NN
cord-342591-6joc2ld1	58	26	.	.	.
cord-342591-6joc2ld1	59	1	For	for	IN
cord-342591-6joc2ld1	59	2	more	more	JJR
cord-342591-6joc2ld1	59	3	details	detail	NNS
cord-342591-6joc2ld1	59	4	about	about	IN
cord-342591-6joc2ld1	59	5	the	the	DT
cord-342591-6joc2ld1	59	6	basic	basic	JJ
cord-342591-6joc2ld1	59	7	definitions	definition	NNS
cord-342591-6joc2ld1	59	8	and	and	CC
cord-342591-6joc2ld1	59	9	characteristics	characteristic	NNS
cord-342591-6joc2ld1	59	10	of	of	IN
cord-342591-6joc2ld1	59	11	fractional	fractional	JJ
cord-342591-6joc2ld1	59	12	derivatives	derivative	NNS
cord-342591-6joc2ld1	59	13	see	see	VBP
cord-342591-6joc2ld1	59	14	[	[	-LRB-
cord-342591-6joc2ld1	59	15	18	18	CD
cord-342591-6joc2ld1	59	16	,	,	,
cord-342591-6joc2ld1	59	17	30	30	CD
cord-342591-6joc2ld1	59	18	,	,	,
cord-342591-6joc2ld1	59	19	39	39	CD
cord-342591-6joc2ld1	59	20	,	,	,
cord-342591-6joc2ld1	59	21	49	49	CD
cord-342591-6joc2ld1	59	22	]	]	-RRB-
cord-342591-6joc2ld1	59	23	.	.	.
cord-342591-6joc2ld1	60	1	Notation	notation	NN
cord-342591-6joc2ld1	60	2	:	:	:
cord-342591-6joc2ld1	61	1	For	for	IN
cord-342591-6joc2ld1	61	2	numerical	numerical	JJ
cord-342591-6joc2ld1	61	3	simulations	simulation	NNS
cord-342591-6joc2ld1	61	4	,	,	,
cord-342591-6joc2ld1	61	5	the	the	DT
cord-342591-6joc2ld1	61	6	predictor	predictor	NN
cord-342591-6joc2ld1	61	7	-	-	HYPH
cord-342591-6joc2ld1	61	8	corrector	corrector	NN
cord-342591-6joc2ld1	61	9	PECE	PECE	NNP
cord-342591-6joc2ld1	61	10	method	method	NN
cord-342591-6joc2ld1	61	11	of	of	IN
cord-342591-6joc2ld1	61	12	Adams	Adams	NNP
cord-342591-6joc2ld1	61	13	-	-	HYPH
cord-342591-6joc2ld1	61	14	Bashforth	Bashforth	NNP
cord-342591-6joc2ld1	61	15	-	-	HYPH
cord-342591-6joc2ld1	61	16	Moulton	Moulton	NNP
cord-342591-6joc2ld1	61	17	type	type	NN
cord-342591-6joc2ld1	61	18	described	describe	VBN
cord-342591-6joc2ld1	61	19	in	in	IN
cord-342591-6joc2ld1	61	20	details	detail	NNS
cord-342591-6joc2ld1	61	21	in	in	IN
cord-342591-6joc2ld1	61	22	[	[	-LRB-
cord-342591-6joc2ld1	61	23	15	15	CD
cord-342591-6joc2ld1	61	24	,	,	,
cord-342591-6joc2ld1	61	25	19	19	CD
cord-342591-6joc2ld1	61	26	]	]	-RRB-
cord-342591-6joc2ld1	61	27	has	have	VBZ
cord-342591-6joc2ld1	61	28	been	be	VBN
cord-342591-6joc2ld1	61	29	utilized	utilize	VBN
cord-342591-6joc2ld1	61	30	and	and	CC
cord-342591-6joc2ld1	61	31	programmed	program	VBN
cord-342591-6joc2ld1	61	32	with	with	IN
cord-342591-6joc2ld1	61	33	MATLAB	MATLAB	NNP
cord-342591-6joc2ld1	61	34	software	software	NN
cord-342591-6joc2ld1	61	35	.	.	.
cord-342591-6joc2ld1	61	36	 	 	_SP
cord-342591-6joc2ld1	62	1	Giulia	Giulia	NNP
cord-342591-6joc2ld1	62	2	Giordano	Giordano	NNP
cord-342591-6joc2ld1	62	3	et	et	NNP
cord-342591-6joc2ld1	62	4	al	al	NNP
cord-342591-6joc2ld1	62	5	.	.	.
cord-342591-6joc2ld1	63	1	in	in	IN
cord-342591-6joc2ld1	63	2	[	[	-LRB-
cord-342591-6joc2ld1	63	3	21	21	CD
cord-342591-6joc2ld1	63	4	]	]	-RRB-
cord-342591-6joc2ld1	63	5	modeled	model	VBD
cord-342591-6joc2ld1	63	6	the	the	DT
cord-342591-6joc2ld1	63	7	COVID-19	covid-19	JJ
cord-342591-6joc2ld1	63	8	epidemic	epidemic	NN
cord-342591-6joc2ld1	63	9	via	via	IN
cord-342591-6joc2ld1	63	10	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	63	11	and	and	CC
cord-342591-6joc2ld1	63	12	compare	compare	VB
cord-342591-6joc2ld1	63	13	its	-PRON-	PRP$
cord-342591-6joc2ld1	63	14	response	response	NN
cord-342591-6joc2ld1	63	15	with	with	IN
cord-342591-6joc2ld1	63	16	the	the	DT
cord-342591-6joc2ld1	63	17	real	real	JJ
cord-342591-6joc2ld1	63	18	data	datum	NNS
cord-342591-6joc2ld1	63	19	in	in	IN
cord-342591-6joc2ld1	63	20	Italy	Italy	NNP
cord-342591-6joc2ld1	63	21	.	.	.
cord-342591-6joc2ld1	64	1	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	64	2	distinguishes	distinguish	VBZ
cord-342591-6joc2ld1	64	3	between	between	IN
cord-342591-6joc2ld1	64	4	determined	determined	JJ
cord-342591-6joc2ld1	64	5	infected	infected	JJ
cord-342591-6joc2ld1	64	6	cases	case	NNS
cord-342591-6joc2ld1	64	7	and	and	CC
cord-342591-6joc2ld1	64	8	undetermined	undetermined	JJ
cord-342591-6joc2ld1	64	9	infected	infected	JJ
cord-342591-6joc2ld1	64	10	cases	case	NNS
cord-342591-6joc2ld1	64	11	and	and	CC
cord-342591-6joc2ld1	64	12	between	between	IN
cord-342591-6joc2ld1	64	13	various	various	JJ
cord-342591-6joc2ld1	64	14	degrees	degree	NNS
cord-342591-6joc2ld1	64	15	of	of	IN
cord-342591-6joc2ld1	64	16	illness	illness	NN
cord-342591-6joc2ld1	64	17	(	(	-LRB-
cord-342591-6joc2ld1	64	18	DOI	DOI	NNP
cord-342591-6joc2ld1	64	19	)	)	-RRB-
cord-342591-6joc2ld1	64	20	.	.	.
cord-342591-6joc2ld1	65	1	In	in	IN
cord-342591-6joc2ld1	65	2	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	65	3	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	65	4	epidemic	epidemic	NN
cord-342591-6joc2ld1	65	5	model	model	NN
cord-342591-6joc2ld1	65	6	,	,	,
cord-342591-6joc2ld1	65	7	the	the	DT
cord-342591-6joc2ld1	65	8	total	total	JJ
cord-342591-6joc2ld1	65	9	population	population	NN
cord-342591-6joc2ld1	65	10	is	be	VBZ
cord-342591-6joc2ld1	65	11	partitioned	partition	VBN
cord-342591-6joc2ld1	65	12	into	into	IN
cord-342591-6joc2ld1	65	13	eight	eight	CD
cord-342591-6joc2ld1	65	14	phases	phase	NNS
cord-342591-6joc2ld1	65	15	of	of	IN
cord-342591-6joc2ld1	65	16	malady	malady	NN
cord-342591-6joc2ld1	65	17	as	as	IN
cord-342591-6joc2ld1	65	18	recorded	record	VBN
cord-342591-6joc2ld1	65	19	in	in	IN
cord-342591-6joc2ld1	65	20	the	the	DT
cord-342591-6joc2ld1	65	21	Table	Table	NNP
cord-342591-6joc2ld1	65	22	1	1	CD
cord-342591-6joc2ld1	65	23	.	.	.
cord-342591-6joc2ld1	66	1	Figure	figure	NN
cord-342591-6joc2ld1	66	2	1	1	CD
cord-342591-6joc2ld1	66	3	shows	show	VBZ
cord-342591-6joc2ld1	66	4	the	the	DT
cord-342591-6joc2ld1	66	5	interaction	interaction	NN
cord-342591-6joc2ld1	66	6	graph	graph	NN
cord-342591-6joc2ld1	66	7	(	(	-LRB-
cord-342591-6joc2ld1	66	8			NNP
cord-342591-6joc2ld1	66	9	)	)	-RRB-
cord-342591-6joc2ld1	66	10	between	between	IN
cord-342591-6joc2ld1	66	11	the	the	DT
cord-342591-6joc2ld1	66	12	eight	eight	CD
cord-342591-6joc2ld1	66	13	phases	phase	NNS
cord-342591-6joc2ld1	66	14	of	of	IN
cord-342591-6joc2ld1	66	15	malady	malady	NN
cord-342591-6joc2ld1	66	16	.	.	.
cord-342591-6joc2ld1	67	1	In	in	IN
cord-342591-6joc2ld1	67	2	Figure	figure	NN
cord-342591-6joc2ld1	67	3	1	1	CD
cord-342591-6joc2ld1	67	4	,	,	,
cord-342591-6joc2ld1	67	5	the	the	DT
cord-342591-6joc2ld1	67	6	susceptible	susceptible	JJ
cord-342591-6joc2ld1	67	7	population	population	NN
cord-342591-6joc2ld1	67	8	partition	partition	NN
cord-342591-6joc2ld1	67	9	is	be	VBZ
cord-342591-6joc2ld1	67	10	partitioned	partition	VBN
cord-342591-6joc2ld1	67	11	into	into	IN
cord-342591-6joc2ld1	67	12	four	four	CD
cord-342591-6joc2ld1	67	13	sub	sub	NN
cord-342591-6joc2ld1	67	14	-	-	NNS
cord-342591-6joc2ld1	67	15	phases	phase	NNS
cord-342591-6joc2ld1	67	16	to	to	TO
cord-342591-6joc2ld1	67	17	show	show	VB
cord-342591-6joc2ld1	67	18	the	the	DT
cord-342591-6joc2ld1	67	19	hidden	hide	VBN
cord-342591-6joc2ld1	67	20	sub	sub	NN
cord-342591-6joc2ld1	67	21	-	-	NNS
cord-342591-6joc2ld1	67	22	phases	phase	NNS
cord-342591-6joc2ld1	67	23	of	of	IN
cord-342591-6joc2ld1	67	24	the	the	DT
cord-342591-6joc2ld1	67	25	susceptible	susceptible	JJ
cord-342591-6joc2ld1	67	26	population	population	NN
cord-342591-6joc2ld1	67	27	partition	partition	NN
cord-342591-6joc2ld1	67	28	,	,	,
cord-342591-6joc2ld1	67	29	namely	namely	RB
cord-342591-6joc2ld1	67	30	.	.	.
cord-342591-6joc2ld1	68	1	The	the	DT
cord-342591-6joc2ld1	68	2	detailed	detailed	JJ
cord-342591-6joc2ld1	68	3	interaction	interaction	NN
cord-342591-6joc2ld1	68	4	digraph	digraph	NN
cord-342591-6joc2ld1	68	5	in	in	IN
cord-342591-6joc2ld1	68	6	Figure	Figure	NNP
cord-342591-6joc2ld1	68	7	1	1	CD
cord-342591-6joc2ld1	68	8	is	be	VBZ
cord-342591-6joc2ld1	68	9	named	name	VBN
cord-342591-6joc2ld1	68	10			NNP
cord-342591-6joc2ld1	68	11	that	that	WDT
cord-342591-6joc2ld1	68	12	may	may	MD
cord-342591-6joc2ld1	68	13	be	be	VB
cord-342591-6joc2ld1	68	14	studied	study	VBN
cord-342591-6joc2ld1	68	15	using	use	VBG
cord-342591-6joc2ld1	68	16	graph	graph	NN
cord-342591-6joc2ld1	68	17	theory	theory	NN
cord-342591-6joc2ld1	68	18	tools	tool	NNS
cord-342591-6joc2ld1	68	19	to	to	TO
cord-342591-6joc2ld1	68	20	discover	discover	VB
cord-342591-6joc2ld1	68	21	more	more	JJR
cord-342591-6joc2ld1	68	22	features	feature	NNS
cord-342591-6joc2ld1	68	23	about	about	IN
cord-342591-6joc2ld1	68	24	the	the	DT
cord-342591-6joc2ld1	68	25	model	model	NN
cord-342591-6joc2ld1	68	26	.	.	.
cord-342591-6joc2ld1	69	1	Infected	infected	JJ
cord-342591-6joc2ld1	69	2	(	(	-LRB-
cord-342591-6joc2ld1	69	3	symptomless	symptomless	JJ
cord-342591-6joc2ld1	69	4	,	,	,
cord-342591-6joc2ld1	69	5	undetermined	undetermined	JJ
cord-342591-6joc2ld1	69	6	)	)	-RRB-
cord-342591-6joc2ld1	69	7	population	population	NN
cord-342591-6joc2ld1	69	8	fraction	fraction	NN
cord-342591-6joc2ld1	69	9	.	.	.
cord-342591-6joc2ld1	70	1	Diagnosed	diagnose	VBN
cord-342591-6joc2ld1	70	2	(	(	-LRB-
cord-342591-6joc2ld1	70	3	infected	infect	VBN
cord-342591-6joc2ld1	70	4	,	,	,
cord-342591-6joc2ld1	70	5	symptomless	symptomless	JJ
cord-342591-6joc2ld1	70	6	,	,	,
cord-342591-6joc2ld1	70	7	determined	determined	JJ
cord-342591-6joc2ld1	70	8	)	)	-RRB-
cord-342591-6joc2ld1	70	9	population	population	NN
cord-342591-6joc2ld1	70	10	fraction	fraction	NN
cord-342591-6joc2ld1	70	11	.	.	.
cord-342591-6joc2ld1	71	1	Ailing	ail	VBG
cord-342591-6joc2ld1	71	2	(	(	-LRB-
cord-342591-6joc2ld1	71	3	infected	infect	VBN
cord-342591-6joc2ld1	71	4	,	,	,
cord-342591-6joc2ld1	71	5	with	with	IN
cord-342591-6joc2ld1	71	6	symptoms	symptom	NNS
cord-342591-6joc2ld1	71	7	undetermined	undetermined	JJ
cord-342591-6joc2ld1	71	8	)	)	-RRB-
cord-342591-6joc2ld1	71	9	population	population	NN
cord-342591-6joc2ld1	71	10	fraction	fraction	NN
cord-342591-6joc2ld1	71	11	.	.	.
cord-342591-6joc2ld1	72	1	Recognized	recognize	VBN
cord-342591-6joc2ld1	72	2	(	(	-LRB-
cord-342591-6joc2ld1	72	3	infected	infect	VBN
cord-342591-6joc2ld1	72	4	,	,	,
cord-342591-6joc2ld1	72	5	with	with	IN
cord-342591-6joc2ld1	72	6	symptoms	symptom	NNS
cord-342591-6joc2ld1	72	7	,	,	,
cord-342591-6joc2ld1	72	8	determined	determine	VBN
cord-342591-6joc2ld1	72	9	)	)	-RRB-
cord-342591-6joc2ld1	72	10	population	population	NN
cord-342591-6joc2ld1	72	11	fraction	fraction	NN
cord-342591-6joc2ld1	72	12	.	.	.
cord-342591-6joc2ld1	73	1	Threatened	threaten	VBN
cord-342591-6joc2ld1	73	2	(	(	-LRB-
cord-342591-6joc2ld1	73	3	infected	infect	VBN
cord-342591-6joc2ld1	73	4	,	,	,
cord-342591-6joc2ld1	73	5	with	with	IN
cord-342591-6joc2ld1	73	6	life	life	NN
cord-342591-6joc2ld1	73	7	-	-	HYPH
cord-342591-6joc2ld1	73	8	menacing	menace	VBG
cord-342591-6joc2ld1	73	9	symptoms	symptom	NNS
cord-342591-6joc2ld1	73	10	,	,	,
cord-342591-6joc2ld1	73	11	determined	determine	VBN
cord-342591-6joc2ld1	73	12	)	)	-RRB-
cord-342591-6joc2ld1	73	13	population	population	NN
cord-342591-6joc2ld1	73	14	fraction	fraction	NN
cord-342591-6joc2ld1	73	15	.	.	.
cord-342591-6joc2ld1	74	1	Healed	heal	VBN
cord-342591-6joc2ld1	74	2	(	(	-LRB-
cord-342591-6joc2ld1	74	3	recuperate	recuperate	VB
cord-342591-6joc2ld1	74	4	)	)	-RRB-
cord-342591-6joc2ld1	75	1	population	population	NN
cord-342591-6joc2ld1	75	2	fraction	fraction	NN
cord-342591-6joc2ld1	75	3	.	.	.
cord-342591-6joc2ld1	76	1	Extinct	Extinct	NNP
cord-342591-6joc2ld1	76	2	(	(	-LRB-
cord-342591-6joc2ld1	76	3	died	die	VBN
cord-342591-6joc2ld1	76	4	out	out	RP
cord-342591-6joc2ld1	76	5	)	)	-RRB-
cord-342591-6joc2ld1	76	6	population	population	NN
cord-342591-6joc2ld1	76	7	fraction	fraction	NN
cord-342591-6joc2ld1	76	8	.	.	.
cord-342591-6joc2ld1	77	1	Table	table	NN
cord-342591-6joc2ld1	77	2	1	1	CD
cord-342591-6joc2ld1	77	3	where	where	WRB
cord-342591-6joc2ld1	77	4	the	the	DT
cord-342591-6joc2ld1	77	5	sub	sub	JJ
cord-342591-6joc2ld1	77	6	-	-	HYPH
cord-342591-6joc2ld1	77	7	phases	phase	NNS
cord-342591-6joc2ld1	77	8	SI	SI	NNP
cord-342591-6joc2ld1	77	9	,	,	,
cord-342591-6joc2ld1	77	10	SD	SD	NNP
cord-342591-6joc2ld1	77	11	,	,	,
cord-342591-6joc2ld1	77	12	SA	SA	NNP
cord-342591-6joc2ld1	77	13	,	,	,
cord-342591-6joc2ld1	77	14	SR	SR	NNP
cord-342591-6joc2ld1	77	15	are	be	VBP
cord-342591-6joc2ld1	77	16	appeared	appear	VBN
cord-342591-6joc2ld1	77	17	.	.	.
cord-342591-6joc2ld1	78	1	The	the	DT
cord-342591-6joc2ld1	78	2	COVID-19	covid-19	JJ
cord-342591-6joc2ld1	78	3	epidemic	epidemic	NN
cord-342591-6joc2ld1	78	4	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	78	5	is	be	VBZ
cord-342591-6joc2ld1	78	6	modeled	model	VBN
cord-342591-6joc2ld1	78	7	mathematically	mathematically	RB
cord-342591-6joc2ld1	78	8	by	by	IN
cord-342591-6joc2ld1	78	9	eight	eight	CD
cord-342591-6joc2ld1	78	10	ordinary	ordinary	JJ
cord-342591-6joc2ld1	78	11	differential	differential	JJ
cord-342591-6joc2ld1	78	12	equations	equation	NNS
cord-342591-6joc2ld1	78	13	[	[	-LRB-
cord-342591-6joc2ld1	78	14	21	21	CD
cord-342591-6joc2ld1	78	15	]	]	-RRB-
cord-342591-6joc2ld1	78	16	.	.	.
cord-342591-6joc2ld1	79	1	The	the	DT
cord-342591-6joc2ld1	79	2	deterministic	deterministic	JJ
cord-342591-6joc2ld1	79	3	characteristic	characteristic	NN
cord-342591-6joc2ld1	79	4	is	be	VBZ
cord-342591-6joc2ld1	79	5	essential	essential	JJ
cord-342591-6joc2ld1	79	6	in	in	IN
cord-342591-6joc2ld1	79	7	modeling	model	VBG
cord-342591-6joc2ld1	79	8	the	the	DT
cord-342591-6joc2ld1	79	9	epidemics	epidemic	NNS
cord-342591-6joc2ld1	79	10	transition	transition	NN
cord-342591-6joc2ld1	79	11	phenomena	phenomenon	NNS
cord-342591-6joc2ld1	79	12	;	;	:
cord-342591-6joc2ld1	79	13	the	the	DT
cord-342591-6joc2ld1	79	14	fractional	fractional	JJ
cord-342591-6joc2ld1	79	15	derivative	derivative	NN
cord-342591-6joc2ld1	79	16	is	be	VBZ
cord-342591-6joc2ld1	79	17	very	very	RB
cord-342591-6joc2ld1	79	18	useful	useful	JJ
cord-342591-6joc2ld1	79	19	in	in	IN
cord-342591-6joc2ld1	79	20	modeling	model	VBG
cord-342591-6joc2ld1	79	21	the	the	DT
cord-342591-6joc2ld1	79	22	epidemics	epidemic	NNS
cord-342591-6joc2ld1	79	23	transition	transition	NN
cord-342591-6joc2ld1	79	24	systems	system	NNS
cord-342591-6joc2ld1	79	25	because	because	IN
cord-342591-6joc2ld1	79	26	they	-PRON-	PRP
cord-342591-6joc2ld1	79	27	consider	consider	VBP
cord-342591-6joc2ld1	79	28	the	the	DT
cord-342591-6joc2ld1	79	29	memory	memory	NN
cord-342591-6joc2ld1	79	30	effect	effect	NN
cord-342591-6joc2ld1	79	31	and	and	CC
cord-342591-6joc2ld1	79	32	the	the	DT
cord-342591-6joc2ld1	79	33	universal	universal	JJ
cord-342591-6joc2ld1	79	34	properties	property	NNS
cord-342591-6joc2ld1	79	35	of	of	IN
cord-342591-6joc2ld1	79	36	the	the	DT
cord-342591-6joc2ld1	79	37	system	system	NN
cord-342591-6joc2ld1	79	38	,	,	,
cord-342591-6joc2ld1	79	39	that	that	WDT
cord-342591-6joc2ld1	79	40	are	be	VBP
cord-342591-6joc2ld1	79	41	primary	primary	JJ
cord-342591-6joc2ld1	79	42	in	in	IN
cord-342591-6joc2ld1	79	43	the	the	DT
cord-342591-6joc2ld1	79	44	deterministic	deterministic	JJ
cord-342591-6joc2ld1	79	45	feature	feature	NN
cord-342591-6joc2ld1	79	46	.	.	.
cord-342591-6joc2ld1	80	1	The	the	DT
cord-342591-6joc2ld1	80	2	system	system	NN
cord-342591-6joc2ld1	80	3	is	be	VBZ
cord-342591-6joc2ld1	80	4	said	say	VBN
cord-342591-6joc2ld1	80	5	to	to	TO
cord-342591-6joc2ld1	80	6	have	have	VB
cord-342591-6joc2ld1	80	7	a	a	DT
cord-342591-6joc2ld1	80	8	memory	memory	NN
cord-342591-6joc2ld1	80	9	effect	effect	NN
cord-342591-6joc2ld1	80	10	if	if	IN
cord-342591-6joc2ld1	80	11	its	-PRON-	PRP$
cord-342591-6joc2ld1	80	12	future	future	JJ
cord-342591-6joc2ld1	80	13	states	state	NNS
cord-342591-6joc2ld1	80	14	depend	depend	VBP
cord-342591-6joc2ld1	80	15	on	on	IN
cord-342591-6joc2ld1	80	16	its	-PRON-	PRP$
cord-342591-6joc2ld1	80	17	current	current	JJ
cord-342591-6joc2ld1	80	18	states	state	NNS
cord-342591-6joc2ld1	80	19	and	and	CC
cord-342591-6joc2ld1	80	20	the	the	DT
cord-342591-6joc2ld1	80	21	history	history	NN
cord-342591-6joc2ld1	80	22	of	of	IN
cord-342591-6joc2ld1	80	23	the	the	DT
cord-342591-6joc2ld1	80	24	states	state	NNS
cord-342591-6joc2ld1	80	25	,	,	,
cord-342591-6joc2ld1	80	26	and	and	CC
cord-342591-6joc2ld1	80	27	the	the	DT
cord-342591-6joc2ld1	80	28	fractional	fractional	JJ
cord-342591-6joc2ld1	80	29	operator	operator	NN
cord-342591-6joc2ld1	80	30	has	have	VBZ
cord-342591-6joc2ld1	80	31	this	this	DT
cord-342591-6joc2ld1	80	32	memory	memory	NN
cord-342591-6joc2ld1	80	33	effect	effect	NN
cord-342591-6joc2ld1	80	34	feature	feature	NN
cord-342591-6joc2ld1	80	35	so	so	IN
cord-342591-6joc2ld1	80	36	it	-PRON-	PRP
cord-342591-6joc2ld1	80	37	is	be	VBZ
cord-342591-6joc2ld1	80	38	very	very	RB
cord-342591-6joc2ld1	80	39	helpful	helpful	JJ
cord-342591-6joc2ld1	80	40	in	in	IN
cord-342591-6joc2ld1	80	41	modeling	model	VBG
cord-342591-6joc2ld1	80	42	the	the	DT
cord-342591-6joc2ld1	80	43	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	80	44	diffusion	diffusion	NN
cord-342591-6joc2ld1	80	45	model	model	NN
cord-342591-6joc2ld1	80	46	.	.	.
cord-342591-6joc2ld1	81	1	Here	here	RB
cord-342591-6joc2ld1	81	2	,	,	,
cord-342591-6joc2ld1	81	3	as	as	IN
cord-342591-6joc2ld1	81	4	recorded	record	VBN
cord-342591-6joc2ld1	81	5	in	in	IN
cord-342591-6joc2ld1	81	6	equations	equation	NNS
cord-342591-6joc2ld1	81	7	(	(	-LRB-
cord-342591-6joc2ld1	81	8	3.1	3.1	CD
cord-342591-6joc2ld1	81	9	)	)	-RRB-
cord-342591-6joc2ld1	81	10	to	to	IN
cord-342591-6joc2ld1	81	11	(	(	-LRB-
cord-342591-6joc2ld1	81	12	3.8	3.8	CD
cord-342591-6joc2ld1	81	13	)	)	-RRB-
cord-342591-6joc2ld1	81	14	,	,	,
cord-342591-6joc2ld1	81	15	the	the	DT
cord-342591-6joc2ld1	81	16	dynamics	dynamic	NNS
cord-342591-6joc2ld1	81	17	of	of	IN
cord-342591-6joc2ld1	81	18	the	the	DT
cord-342591-6joc2ld1	81	19	population	population	NN
cord-342591-6joc2ld1	81	20	in	in	IN
cord-342591-6joc2ld1	81	21	each	each	DT
cord-342591-6joc2ld1	81	22	phase	phase	NN
cord-342591-6joc2ld1	81	23	with	with	IN
cord-342591-6joc2ld1	81	24	time	time	NN
cord-342591-6joc2ld1	81	25	is	be	VBZ
cord-342591-6joc2ld1	81	26	described	describe	VBN
cord-342591-6joc2ld1	81	27	with	with	IN
cord-342591-6joc2ld1	81	28	eight	eight	CD
cord-342591-6joc2ld1	81	29	fractional	fractional	JJ
cord-342591-6joc2ld1	81	30	order	order	NN
cord-342591-6joc2ld1	81	31	(	(	-LRB-
cord-342591-6joc2ld1	81	32	)	)	-RRB-
cord-342591-6joc2ld1	81	33	differential	differential	JJ
cord-342591-6joc2ld1	81	34	equations	equation	NNS
cord-342591-6joc2ld1	81	35	:	:	:
cord-342591-6joc2ld1	81	36	[	[	-LRB-
cord-342591-6joc2ld1	81	37	21	21	CD
cord-342591-6joc2ld1	81	38	]	]	-RRB-
cord-342591-6joc2ld1	81	39	using	use	VBG
cord-342591-6joc2ld1	81	40	the	the	DT
cord-342591-6joc2ld1	81	41	real	real	JJ
cord-342591-6joc2ld1	81	42	data	datum	NNS
cord-342591-6joc2ld1	81	43	.	.	.
cord-342591-6joc2ld1	82	1	Figure	figure	NN
cord-342591-6joc2ld1	82	2	1	1	CD
cord-342591-6joc2ld1	82	3	shows	show	VBZ
cord-342591-6joc2ld1	82	4	the	the	DT
cord-342591-6joc2ld1	82	5	impact	impact	NN
cord-342591-6joc2ld1	82	6	of	of	IN
cord-342591-6joc2ld1	82	7	each	each	DT
cord-342591-6joc2ld1	82	8	different	different	JJ
cord-342591-6joc2ld1	82	9	phases	phase	NNS
cord-342591-6joc2ld1	82	10	of	of	IN
cord-342591-6joc2ld1	82	11	epidemic	epidemic	NN
cord-342591-6joc2ld1	82	12	graphically	graphically	RB
cord-342591-6joc2ld1	82	13	.	.	.
cord-342591-6joc2ld1	83	1	The	the	DT
cord-342591-6joc2ld1	83	2	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	83	3	Covid-19	covid-19	NN
cord-342591-6joc2ld1	83	4	model	model	NN
cord-342591-6joc2ld1	83	5	parameters	parameter	NNS
cord-342591-6joc2ld1	83	6	have	have	VBP
cord-342591-6joc2ld1	83	7	the	the	DT
cord-342591-6joc2ld1	83	8	following	follow	VBG
cord-342591-6joc2ld1	83	9	real	real	JJ
cord-342591-6joc2ld1	83	10	meaning	meaning	NN
cord-342591-6joc2ld1	83	11	:	:	:
cord-342591-6joc2ld1	83	12			NFP
cord-342591-6joc2ld1	83	13	a	a	DT
cord-342591-6joc2ld1	83	14	signifies	signify	VBZ
cord-342591-6joc2ld1	83	15	the	the	DT
cord-342591-6joc2ld1	83	16	rate	rate	NN
cord-342591-6joc2ld1	83	17	of	of	IN
cord-342591-6joc2ld1	83	18	infection	infection	NN
cord-342591-6joc2ld1	83	19	as	as	IN
cord-342591-6joc2ld1	83	20	a	a	DT
cord-342591-6joc2ld1	83	21	result	result	NN
cord-342591-6joc2ld1	83	22	of	of	IN
cord-342591-6joc2ld1	83	23	contacting	contact	VBG
cord-342591-6joc2ld1	83	24	among	among	IN
cord-342591-6joc2ld1	83	25	a	a	DT
cord-342591-6joc2ld1	83	26	susceptible	susceptible	JJ
cord-342591-6joc2ld1	83	27	case	case	NN
cord-342591-6joc2ld1	83	28	and	and	CC
cord-342591-6joc2ld1	83	29	an	an	DT
cord-342591-6joc2ld1	83	30	infected	infected	JJ
cord-342591-6joc2ld1	83	31	case	case	NN
cord-342591-6joc2ld1	83	32	.	.	.
cord-342591-6joc2ld1	84	1			NFP
cord-342591-6joc2ld1	85	1	b	b	LS
cord-342591-6joc2ld1	85	2	signifies	signify	VBZ
cord-342591-6joc2ld1	85	3	the	the	DT
cord-342591-6joc2ld1	85	4	rate	rate	NN
cord-342591-6joc2ld1	85	5	of	of	IN
cord-342591-6joc2ld1	85	6	infection	infection	NN
cord-342591-6joc2ld1	85	7	as	as	IN
cord-342591-6joc2ld1	85	8	a	a	DT
cord-342591-6joc2ld1	85	9	result	result	NN
cord-342591-6joc2ld1	85	10	of	of	IN
cord-342591-6joc2ld1	85	11	contacting	contact	VBG
cord-342591-6joc2ld1	85	12	among	among	IN
cord-342591-6joc2ld1	85	13	a	a	DT
cord-342591-6joc2ld1	85	14	susceptible	susceptible	JJ
cord-342591-6joc2ld1	85	15	case	case	NN
cord-342591-6joc2ld1	85	16	and	and	CC
cord-342591-6joc2ld1	85	17	a	a	DT
cord-342591-6joc2ld1	85	18	diagnosed	diagnose	VBN
cord-342591-6joc2ld1	85	19	case	case	NN
cord-342591-6joc2ld1	85	20	.	.	.
cord-342591-6joc2ld1	86	1			NFP
cord-342591-6joc2ld1	87	1	c	c	NNP
cord-342591-6joc2ld1	87	2	signifies	signify	VBZ
cord-342591-6joc2ld1	87	3	the	the	DT
cord-342591-6joc2ld1	87	4	rate	rate	NN
cord-342591-6joc2ld1	87	5	of	of	IN
cord-342591-6joc2ld1	87	6	infection	infection	NN
cord-342591-6joc2ld1	87	7	as	as	IN
cord-342591-6joc2ld1	87	8	a	a	DT
cord-342591-6joc2ld1	87	9	result	result	NN
cord-342591-6joc2ld1	87	10	of	of	IN
cord-342591-6joc2ld1	87	11	contacting	contact	VBG
cord-342591-6joc2ld1	87	12	among	among	IN
cord-342591-6joc2ld1	87	13	a	a	DT
cord-342591-6joc2ld1	87	14	susceptible	susceptible	JJ
cord-342591-6joc2ld1	87	15	case	case	NN
cord-342591-6joc2ld1	87	16	and	and	CC
cord-342591-6joc2ld1	87	17	an	an	DT
cord-342591-6joc2ld1	87	18	ailing	ailing	JJ
cord-342591-6joc2ld1	87	19	case	case	NN
cord-342591-6joc2ld1	87	20	.	.	.
cord-342591-6joc2ld1	88	1			NFP
cord-342591-6joc2ld1	89	1	d	d	NNP
cord-342591-6joc2ld1	89	2	signifies	signify	VBZ
cord-342591-6joc2ld1	89	3	the	the	DT
cord-342591-6joc2ld1	89	4	rate	rate	NN
cord-342591-6joc2ld1	89	5	of	of	IN
cord-342591-6joc2ld1	89	6	infection	infection	NN
cord-342591-6joc2ld1	89	7	as	as	IN
cord-342591-6joc2ld1	89	8	a	a	DT
cord-342591-6joc2ld1	89	9	result	result	NN
cord-342591-6joc2ld1	89	10	of	of	IN
cord-342591-6joc2ld1	89	11	contacting	contact	VBG
cord-342591-6joc2ld1	89	12	among	among	IN
cord-342591-6joc2ld1	89	13	a	a	DT
cord-342591-6joc2ld1	89	14	susceptible	susceptible	JJ
cord-342591-6joc2ld1	89	15	case	case	NN
cord-342591-6joc2ld1	89	16	and	and	CC
cord-342591-6joc2ld1	89	17	a	a	DT
cord-342591-6joc2ld1	89	18	recognized	recognize	VBN
cord-342591-6joc2ld1	89	19	case	case	NN
cord-342591-6joc2ld1	89	20	.	.	.
cord-342591-6joc2ld1	90	1			NNP
cord-342591-6joc2ld1	90	2	e	e	NNP
cord-342591-6joc2ld1	90	3	signifies	signify	VBZ
cord-342591-6joc2ld1	90	4	the	the	DT
cord-342591-6joc2ld1	90	5	detection	detection	NN
cord-342591-6joc2ld1	90	6	probability	probability	NN
cord-342591-6joc2ld1	90	7	rate	rate	NN
cord-342591-6joc2ld1	90	8	of	of	IN
cord-342591-6joc2ld1	90	9	infected	infected	JJ
cord-342591-6joc2ld1	90	10	symptomless	symptomless	JJ
cord-342591-6joc2ld1	90	11	cases	case	NNS
cord-342591-6joc2ld1	90	12	.	.	.
cord-342591-6joc2ld1	91	1			NFP
cord-342591-6joc2ld1	92	1	θ	θ	NNP
cord-342591-6joc2ld1	92	2	signifies	signify	VBZ
cord-342591-6joc2ld1	92	3	the	the	DT
cord-342591-6joc2ld1	92	4	detection	detection	NN
cord-342591-6joc2ld1	92	5	probability	probability	NN
cord-342591-6joc2ld1	92	6	rate	rate	NN
cord-342591-6joc2ld1	92	7	of	of	IN
cord-342591-6joc2ld1	92	8	infected	infect	VBN
cord-342591-6joc2ld1	92	9	with	with	IN
cord-342591-6joc2ld1	92	10	symptoms	symptom	NNS
cord-342591-6joc2ld1	92	11	cases	case	NNS
cord-342591-6joc2ld1	92	12	.	.	.
cord-342591-6joc2ld1	93	1			NFP
cord-342591-6joc2ld1	94	1	z	z	NNP
cord-342591-6joc2ld1	94	2	signifies	signify	VBZ
cord-342591-6joc2ld1	94	3	the	the	DT
cord-342591-6joc2ld1	94	4	rate	rate	NN
cord-342591-6joc2ld1	94	5	of	of	IN
cord-342591-6joc2ld1	94	6	probability	probability	NN
cord-342591-6joc2ld1	94	7	at	at	IN
cord-342591-6joc2ld1	94	8	which	which	WDT
cord-342591-6joc2ld1	94	9	an	an	DT
cord-342591-6joc2ld1	94	10	infected	infected	JJ
cord-342591-6joc2ld1	94	11	case	case	NN
cord-342591-6joc2ld1	94	12	is	be	VBZ
cord-342591-6joc2ld1	94	13	not	not	RB
cord-342591-6joc2ld1	94	14	conscious	conscious	JJ
cord-342591-6joc2ld1	94	15	of	of	IN
cord-342591-6joc2ld1	94	16	becoming	become	VBG
cord-342591-6joc2ld1	94	17	infected	infect	VBN
cord-342591-6joc2ld1	94	18	.	.	.
cord-342591-6joc2ld1	95	1			NFP
cord-342591-6joc2ld1	96	1	h	h	NNP
cord-342591-6joc2ld1	96	2	signifies	signify	VBZ
cord-342591-6joc2ld1	96	3	the	the	DT
cord-342591-6joc2ld1	96	4	rate	rate	NN
cord-342591-6joc2ld1	96	5	of	of	IN
cord-342591-6joc2ld1	96	6	probability	probability	NN
cord-342591-6joc2ld1	96	7	at	at	IN
cord-342591-6joc2ld1	96	8	which	which	WDT
cord-342591-6joc2ld1	96	9	an	an	DT
cord-342591-6joc2ld1	96	10	infected	infected	JJ
cord-342591-6joc2ld1	96	11	case	case	NN
cord-342591-6joc2ld1	96	12	is	be	VBZ
cord-342591-6joc2ld1	96	13	conscious	conscious	JJ
cord-342591-6joc2ld1	96	14	of	of	IN
cord-342591-6joc2ld1	96	15	becoming	become	VBG
cord-342591-6joc2ld1	96	16	infected	infect	VBN
cord-342591-6joc2ld1	96	17	.	.	.
cord-342591-6joc2ld1	97	1			NNP
cord-342591-6joc2ld1	97	2	m	m	NNP
cord-342591-6joc2ld1	97	3	signifies	signify	VBZ
cord-342591-6joc2ld1	97	4	the	the	DT
cord-342591-6joc2ld1	97	5	rate	rate	NN
cord-342591-6joc2ld1	97	6	at	at	IN
cord-342591-6joc2ld1	97	7	which	which	WDT
cord-342591-6joc2ld1	97	8	undetermined	undetermined	JJ
cord-342591-6joc2ld1	97	9	infected	infected	JJ
cord-342591-6joc2ld1	97	10	case	case	NN
cord-342591-6joc2ld1	97	11	develops	develop	VBZ
cord-342591-6joc2ld1	97	12	life	life	NN
cord-342591-6joc2ld1	97	13	-	-	HYPH
cord-342591-6joc2ld1	97	14	menacing	menacing	JJ
cord-342591-6joc2ld1	97	15	signs	sign	NNS
cord-342591-6joc2ld1	97	16	.	.	.
cord-342591-6joc2ld1	98	1			NFP
cord-342591-6joc2ld1	99	1	v	v	NNP
cord-342591-6joc2ld1	99	2	signifies	signify	VBZ
cord-342591-6joc2ld1	99	3	the	the	DT
cord-342591-6joc2ld1	99	4	rate	rate	NN
cord-342591-6joc2ld1	99	5	at	at	IN
cord-342591-6joc2ld1	99	6	which	which	WDT
cord-342591-6joc2ld1	99	7	the	the	DT
cord-342591-6joc2ld1	99	8	determined	determine	VBD
cord-342591-6joc2ld1	99	9	infected	infected	JJ
cord-342591-6joc2ld1	99	10	case	case	NN
cord-342591-6joc2ld1	99	11	develops	develop	VBZ
cord-342591-6joc2ld1	99	12	life	life	NN
cord-342591-6joc2ld1	99	13	-	-	HYPH
cord-342591-6joc2ld1	99	14	menacing	menacing	JJ
cord-342591-6joc2ld1	99	15	signs	sign	NNS
cord-342591-6joc2ld1	99	16	.	.	.
cord-342591-6joc2ld1	100	1			NNP
cord-342591-6joc2ld1	100	2	τ	τ	NNP
cord-342591-6joc2ld1	100	3	signifies	signify	VBZ
cord-342591-6joc2ld1	100	4	the	the	DT
cord-342591-6joc2ld1	100	5	death	death	NN
cord-342591-6joc2ld1	100	6	rate	rate	NN
cord-342591-6joc2ld1	100	7	(	(	-LRB-
cord-342591-6joc2ld1	100	8	for	for	IN
cord-342591-6joc2ld1	100	9	infected	infected	JJ
cord-342591-6joc2ld1	100	10	cases	case	NNS
cord-342591-6joc2ld1	100	11	with	with	IN
cord-342591-6joc2ld1	100	12	life	life	NN
cord-342591-6joc2ld1	100	13	-	-	HYPH
cord-342591-6joc2ld1	100	14	menacing	menacing	JJ
cord-342591-6joc2ld1	100	15	signs	sign	NNS
cord-342591-6joc2ld1	100	16	)	)	-RRB-
cord-342591-6joc2ld1	100	17	.	.	.
cord-342591-6joc2ld1	101	1			NFP
cord-342591-6joc2ld1	102	1	g	g	NNP
cord-342591-6joc2ld1	102	2	,	,	,
cord-342591-6joc2ld1	102	3	k	k	NNP
cord-342591-6joc2ld1	102	4	,	,	,
cord-342591-6joc2ld1	103	1	x	x	LS
cord-342591-6joc2ld1	103	2	,	,	,
cord-342591-6joc2ld1	103	3	r	r	NN
cord-342591-6joc2ld1	103	4	and	and	CC
cord-342591-6joc2ld1	103	5	σ	σ	NNP
cord-342591-6joc2ld1	103	6	signify	signify	VB
cord-342591-6joc2ld1	103	7	the	the	DT
cord-342591-6joc2ld1	103	8	rate	rate	NN
cord-342591-6joc2ld1	103	9	of	of	IN
cord-342591-6joc2ld1	103	10	healing	healing	NN
cord-342591-6joc2ld1	103	11	for	for	IN
cord-342591-6joc2ld1	103	12	the	the	DT
cord-342591-6joc2ld1	103	13	five	five	CD
cord-342591-6joc2ld1	103	14	phases	phase	NNS
cord-342591-6joc2ld1	103	15	of	of	IN
cord-342591-6joc2ld1	103	16	infected	infected	JJ
cord-342591-6joc2ld1	103	17	cases	case	NNS
cord-342591-6joc2ld1	103	18	.	.	.
cord-342591-6joc2ld1	104	1	For	for	IN
cord-342591-6joc2ld1	104	2	more	more	JJR
cord-342591-6joc2ld1	104	3	details	detail	NNS
cord-342591-6joc2ld1	104	4	about	about	IN
cord-342591-6joc2ld1	104	5	the	the	DT
cord-342591-6joc2ld1	104	6	model	model	NN
cord-342591-6joc2ld1	104	7	choices	choice	NNS
cord-342591-6joc2ld1	104	8	see	see	VBP
cord-342591-6joc2ld1	104	9	[	[	-LRB-
cord-342591-6joc2ld1	104	10	21	21	CD
cord-342591-6joc2ld1	104	11	]	]	-RRB-
cord-342591-6joc2ld1	104	12	and	and	CC
cord-342591-6joc2ld1	104	13	the	the	DT
cord-342591-6joc2ld1	104	14	references	reference	NNS
cord-342591-6joc2ld1	104	15	cited	cite	VBN
cord-342591-6joc2ld1	104	16	there	there	RB
cord-342591-6joc2ld1	104	17	.	.	.
cord-342591-6joc2ld1	105	1	9	9	CD
cord-342591-6joc2ld1	105	2	 	 	_SP
cord-342591-6joc2ld1	106	1	From	from	IN
cord-342591-6joc2ld1	106	2	equations	equation	NNS
cord-342591-6joc2ld1	106	3	(	(	-LRB-
cord-342591-6joc2ld1	106	4	3.1	3.1	CD
cord-342591-6joc2ld1	106	5	)	)	-RRB-
cord-342591-6joc2ld1	106	6	to	to	IN
cord-342591-6joc2ld1	106	7	(	(	-LRB-
cord-342591-6joc2ld1	106	8	3.8	3.8	CD
cord-342591-6joc2ld1	106	9	)	)	-RRB-
cord-342591-6joc2ld1	106	10	and	and	CC
cord-342591-6joc2ld1	106	11	since	since	IN
cord-342591-6joc2ld1	106	12	the	the	DT
cord-342591-6joc2ld1	106	13	states	state	NNS
cord-342591-6joc2ld1	106	14	and	and	CC
cord-342591-6joc2ld1	106	15	are	be	VBP
cord-342591-6joc2ld1	106	16	sink	sink	NN
cord-342591-6joc2ld1	106	17	vertices	vertex	NNS
cord-342591-6joc2ld1	106	18	in	in	IN
cord-342591-6joc2ld1	106	19	the	the	DT
cord-342591-6joc2ld1	106	20	model	model	NN
cord-342591-6joc2ld1	106	21	graph	graph	NN
cord-342591-6joc2ld1	106	22			NNP
cord-342591-6joc2ld1	106	23	(	(	-LRB-
cord-342591-6joc2ld1	106	24	see	see	VB
cord-342591-6joc2ld1	106	25	Figure	figure	NN
cord-342591-6joc2ld1	106	26	1	1	CD
cord-342591-6joc2ld1	106	27	)	)	-RRB-
cord-342591-6joc2ld1	106	28	,	,	,
cord-342591-6joc2ld1	106	29	then	then	RB
cord-342591-6joc2ld1	106	30	they	-PRON-	PRP
cord-342591-6joc2ld1	106	31	are	be	VBP
cord-342591-6joc2ld1	106	32	considered	consider	VBN
cord-342591-6joc2ld1	106	33	as	as	IN
cord-342591-6joc2ld1	106	34	accumulative	accumulative	JJ
cord-342591-6joc2ld1	106	35	state	state	NN
cord-342591-6joc2ld1	106	36	variables	variable	NNS
cord-342591-6joc2ld1	106	37	that	that	WDT
cord-342591-6joc2ld1	106	38	rely	rely	VBP
cord-342591-6joc2ld1	106	39	only	only	RB
cord-342591-6joc2ld1	106	40	on	on	IN
cord-342591-6joc2ld1	106	41	their	-PRON-	PRP$
cord-342591-6joc2ld1	106	42	own	own	JJ
cord-342591-6joc2ld1	106	43	starting	starting	NN
cord-342591-6joc2ld1	106	44	situations	situation	NNS
cord-342591-6joc2ld1	106	45	and	and	CC
cord-342591-6joc2ld1	106	46	the	the	DT
cord-342591-6joc2ld1	106	47	other	other	JJ
cord-342591-6joc2ld1	106	48	state	state	NN
cord-342591-6joc2ld1	106	49	variables	variable	NNS
cord-342591-6joc2ld1	106	50	.	.	.
cord-342591-6joc2ld1	107	1	Since	since	IN
cord-342591-6joc2ld1	107	2	summing	sum	VBG
cord-342591-6joc2ld1	107	3	up	up	RP
cord-342591-6joc2ld1	107	4	all	all	DT
cord-342591-6joc2ld1	107	5	equations	equation	NNS
cord-342591-6joc2ld1	107	6	(	(	-LRB-
cord-342591-6joc2ld1	107	7	3.1	3.1	CD
cord-342591-6joc2ld1	107	8	)	)	-RRB-
cord-342591-6joc2ld1	107	9	to	to	IN
cord-342591-6joc2ld1	107	10	(	(	-LRB-
cord-342591-6joc2ld1	107	11	3.8	3.8	CD
cord-342591-6joc2ld1	107	12	)	)	-RRB-
cord-342591-6joc2ld1	107	13	gives	give	VBZ
cord-342591-6joc2ld1	107	14	zero	zero	CD
cord-342591-6joc2ld1	107	15	as	as	IN
cord-342591-6joc2ld1	107	16	a	a	DT
cord-342591-6joc2ld1	107	17	result	result	NN
cord-342591-6joc2ld1	107	18	then	then	RB
cord-342591-6joc2ld1	107	19	the	the	DT
cord-342591-6joc2ld1	107	20	system	system	NN
cord-342591-6joc2ld1	107	21	is	be	VBZ
cord-342591-6joc2ld1	107	22	compartmentalized	compartmentalize	VBN
cord-342591-6joc2ld1	107	23	and	and	CC
cord-342591-6joc2ld1	107	24	shows	show	VBZ
cord-342591-6joc2ld1	107	25	the	the	DT
cord-342591-6joc2ld1	107	26	conservation	conservation	NN
cord-342591-6joc2ld1	107	27	property	property	NN
cord-342591-6joc2ld1	107	28	of	of	IN
cord-342591-6joc2ld1	107	29	mass	mass	NN
cord-342591-6joc2ld1	107	30	:	:	:
cord-342591-6joc2ld1	107	31	as	as	IN
cord-342591-6joc2ld1	107	32	can	can	MD
cord-342591-6joc2ld1	107	33	be	be	VB
cord-342591-6joc2ld1	107	34	directly	directly	RB
cord-342591-6joc2ld1	107	35	proved	prove	VBN
cord-342591-6joc2ld1	107	36	,	,	,
cord-342591-6joc2ld1	107	37	Which	which	WDT
cord-342591-6joc2ld1	107	38	implies	imply	VBZ
cord-342591-6joc2ld1	107	39	that	that	IN
cord-342591-6joc2ld1	107	40	the	the	DT
cord-342591-6joc2ld1	107	41	total	total	JJ
cord-342591-6joc2ld1	107	42	population	population	NN
cord-342591-6joc2ld1	107	43	(	(	-LRB-
cord-342591-6joc2ld1	107	44	the	the	DT
cord-342591-6joc2ld1	107	45	sum	sum	NN
cord-342591-6joc2ld1	107	46	of	of	IN
cord-342591-6joc2ld1	107	47	all	all	DT
cord-342591-6joc2ld1	107	48	state	state	NN
cord-342591-6joc2ld1	107	49	variables	variable	NNS
cord-342591-6joc2ld1	107	50	)	)	-RRB-
cord-342591-6joc2ld1	107	51	is	be	VBZ
cord-342591-6joc2ld1	107	52	constant	constant	JJ
cord-342591-6joc2ld1	107	53	.	.	.
cord-342591-6joc2ld1	108	1	Let	let	VB
cord-342591-6joc2ld1	108	2	(	(	-LRB-
cord-342591-6joc2ld1	108	3	3.10	3.10	CD
cord-342591-6joc2ld1	108	4	)	)	-RRB-
cord-342591-6joc2ld1	108	5	be	be	VB
cord-342591-6joc2ld1	108	6	the	the	DT
cord-342591-6joc2ld1	108	7	state	state	NN
cord-342591-6joc2ld1	108	8	variables	variable	NNS
cord-342591-6joc2ld1	108	9	vector	vector	VBP
cord-342591-6joc2ld1	108	10	.	.	.
cord-342591-6joc2ld1	109	1	Since	since	IN
cord-342591-6joc2ld1	109	2	the	the	DT
cord-342591-6joc2ld1	109	3	state	state	NN
cord-342591-6joc2ld1	109	4	variables	variable	NNS
cord-342591-6joc2ld1	109	5	signify	signify	VBP
cord-342591-6joc2ld1	109	6	the	the	DT
cord-342591-6joc2ld1	109	7	population	population	NN
cord-342591-6joc2ld1	109	8	fractions	fraction	NNS
cord-342591-6joc2ld1	109	9	,	,	,
cord-342591-6joc2ld1	109	10	we	-PRON-	PRP
cord-342591-6joc2ld1	109	11	can	can	MD
cord-342591-6joc2ld1	109	12	suppose	suppose	VB
cord-342591-6joc2ld1	109	13	that	that	IN
cord-342591-6joc2ld1	109	14	∑	∑	NNP
cord-342591-6joc2ld1	109	15	,	,	,
cord-342591-6joc2ld1	109	16	such	such	JJ
cord-342591-6joc2ld1	109	17	that	that	IN
cord-342591-6joc2ld1	109	18	1	1	CD
cord-342591-6joc2ld1	109	19	signifies	signify	VBZ
cord-342591-6joc2ld1	109	20	the	the	DT
cord-342591-6joc2ld1	109	21	total	total	JJ
cord-342591-6joc2ld1	109	22	population	population	NN
cord-342591-6joc2ld1	109	23	,	,	,
cord-342591-6joc2ld1	109	24	dead	dead	JJ
cord-342591-6joc2ld1	109	25	are	be	VBP
cord-342591-6joc2ld1	109	26	included	include	VBN
cord-342591-6joc2ld1	109	27	.	.	.
cord-342591-6joc2ld1	110	1	;	;	:
cord-342591-6joc2ld1	110	2	;	;	:
cord-342591-6joc2ld1	110	3	;	;	:
cord-342591-6joc2ld1	110	4	;	;	:
cord-342591-6joc2ld1	110	5	20	20	CD
cord-342591-6joc2ld1	110	6	)	)	-RRB-
cord-342591-6joc2ld1	110	7	  	  	_SP
cord-342591-6joc2ld1	110	8	3	3	CD
cord-342591-6joc2ld1	110	9	 	 	_SP
cord-342591-6joc2ld1	110	10	3	3	CD
cord-342591-6joc2ld1	110	11	 	 	_SP
cord-342591-6joc2ld1	110	12	3	3	CD
cord-342591-6joc2ld1	110	13	 	 	_SP
cord-342591-6joc2ld1	110	14	3	3	CD
cord-342591-6joc2ld1	110	15	 	 	_SP
cord-342591-6joc2ld1	110	16	31	31	CD
cord-342591-6joc2ld1	110	17	 	 	_SP
cord-342591-6joc2ld1	110	18	32	32	CD
cord-342591-6joc2ld1	110	19	  	  	_SP
cord-342591-6joc2ld1	110	20	3	3	CD
cord-342591-6joc2ld1	110	21	 	 	_SP
cord-342591-6joc2ld1	110	22	3	3	CD
cord-342591-6joc2ld1	110	23	 	 	_SP
cord-342591-6joc2ld1	110	24	2	2	CD
cord-342591-6joc2ld1	110	25	 	 	_SP
cord-342591-6joc2ld1	110	26	33	33	CD
cord-342591-6joc2ld1	110	27	 	 	_SP
cord-342591-6joc2ld1	110	28	3	3	CD
cord-342591-6joc2ld1	110	29	 	 	_SP
cord-342591-6joc2ld1	110	30	34	34	CD
cord-342591-6joc2ld1	110	31	  	  	_SP
cord-342591-6joc2ld1	110	32	3	3	CD
cord-342591-6joc2ld1	110	33	 	 	_SP
cord-342591-6joc2ld1	110	34	3	3	CD
cord-342591-6joc2ld1	110	35	 	 	_SP
cord-342591-6joc2ld1	110	36	3	3	CD
cord-342591-6joc2ld1	110	37	 	 	_SP
cord-342591-6joc2ld1	110	38	3	3	CD
cord-342591-6joc2ld1	110	39	 	 	_SP
cord-342591-6joc2ld1	110	40	35	35	CD
cord-342591-6joc2ld1	110	41	 	 	_SP
cord-342591-6joc2ld1	110	42	3	3	CD
cord-342591-6joc2ld1	110	43	 	 	_SP
cord-342591-6joc2ld1	110	44	36	36	CD
cord-342591-6joc2ld1	110	45	 	 	_SP
cord-342591-6joc2ld1	110	46	3	3	CD
cord-342591-6joc2ld1	110	47	 	 	_SP
cord-342591-6joc2ld1	110	48	37	37	CD
cord-342591-6joc2ld1	110	49	  	  	_SP
cord-342591-6joc2ld1	110	50	3	3	CD
cord-342591-6joc2ld1	110	51	3	3	CD
cord-342591-6joc2ld1	110	52	38	38	CD
cord-342591-6joc2ld1	110	53	0	0	CD
cord-342591-6joc2ld1	110	54	(	(	-LRB-
cord-342591-6joc2ld1	110	55	)	)	-RRB-
cord-342591-6joc2ld1	110	56	;	;	:
cord-342591-6joc2ld1	110	57	;	;	:
cord-342591-6joc2ld1	110	58	;	;	:
cord-342591-6joc2ld1	110	59	 	 	_SP
cord-342591-6joc2ld1	110	60	Where	where	WRB
cord-342591-6joc2ld1	110	61	(	(	-LRB-
cord-342591-6joc2ld1	110	62	)	)	-RRB-
cord-342591-6joc2ld1	110	63	are	be	VBP
cord-342591-6joc2ld1	110	64	all	all	DT
cord-342591-6joc2ld1	110	65	positive	positive	JJ
cord-342591-6joc2ld1	110	66	constants	constant	NNS
cord-342591-6joc2ld1	110	67	.	.	.
cord-342591-6joc2ld1	111	1	Then	then	RB
cord-342591-6joc2ld1	111	2	from	from	IN
cord-342591-6joc2ld1	111	3	(	(	-LRB-
cord-342591-6joc2ld1	111	4	3.19	3.19	CD
cord-342591-6joc2ld1	111	5	)	)	-RRB-
cord-342591-6joc2ld1	111	6	to	to	IN
cord-342591-6joc2ld1	111	7	(	(	-LRB-
cord-342591-6joc2ld1	111	8	3.26	3.26	CD
cord-342591-6joc2ld1	111	9	)	)	-RRB-
cord-342591-6joc2ld1	111	10	,	,	,
cord-342591-6joc2ld1	111	11	each	each	DT
cord-342591-6joc2ld1	111	12	of	of	IN
cord-342591-6joc2ld1	111	13	the	the	DT
cord-342591-6joc2ld1	111	14	eight	eight	CD
cord-342591-6joc2ld1	111	15	functions	function	NNS
cord-342591-6joc2ld1	111	16	agree	agree	VBP
cord-342591-6joc2ld1	111	17	with	with	IN
cord-342591-6joc2ld1	111	18	the	the	DT
cord-342591-6joc2ld1	111	19	Lipschitz	Lipschitz	NNP
cord-342591-6joc2ld1	111	20	condition	condition	NN
cord-342591-6joc2ld1	111	21	[	[	-LRB-
cord-342591-6joc2ld1	111	22	18	18	CD
cord-342591-6joc2ld1	111	23	,	,	,
cord-342591-6joc2ld1	111	24	39	39	CD
cord-342591-6joc2ld1	111	25	]	]	-RRB-
cord-342591-6joc2ld1	111	26	.	.	.
cord-342591-6joc2ld1	112	1	With	with	IN
cord-342591-6joc2ld1	112	2	respect	respect	NN
cord-342591-6joc2ld1	112	3	to	to	IN
cord-342591-6joc2ld1	112	4	the	the	DT
cord-342591-6joc2ld1	112	5	eight	eight	CD
cord-342591-6joc2ld1	112	6	arguments	argument	NNS
cord-342591-6joc2ld1	112	7	,	,	,
cord-342591-6joc2ld1	112	8	then	then	RB
cord-342591-6joc2ld1	112	9	all	all	DT
cord-342591-6joc2ld1	112	10	eight	eight	CD
cord-342591-6joc2ld1	112	11	functions	function	NNS
cord-342591-6joc2ld1	112	12	are	be	VBP
cord-342591-6joc2ld1	112	13	absolutely	absolutely	RB
cord-342591-6joc2ld1	112	14	continuous	continuous	JJ
cord-342591-6joc2ld1	112	15	.	.	.
cord-342591-6joc2ld1	113	1	In	in	IN
cord-342591-6joc2ld1	113	2	this	this	DT
cord-342591-6joc2ld1	113	3	area	area	NN
cord-342591-6joc2ld1	113	4	,	,	,
cord-342591-6joc2ld1	113	5	the	the	DT
cord-342591-6joc2ld1	113	6	existence	existence	NN
cord-342591-6joc2ld1	113	7	of	of	IN
cord-342591-6joc2ld1	113	8	the	the	DT
cord-342591-6joc2ld1	113	9	fractional	fractional	JJ
cord-342591-6joc2ld1	113	10	order	order	NN
cord-342591-6joc2ld1	113	11	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	113	12	model	model	NN
cord-342591-6joc2ld1	113	13	's	's	POS
cord-342591-6joc2ld1	113	14	optimal	optimal	JJ
cord-342591-6joc2ld1	113	15	control	control	NN
cord-342591-6joc2ld1	113	16	is	be	VBZ
cord-342591-6joc2ld1	113	17	investigated	investigate	VBN
cord-342591-6joc2ld1	113	18	and	and	CC
cord-342591-6joc2ld1	113	19	then	then	RB
cord-342591-6joc2ld1	113	20	the	the	DT
cord-342591-6joc2ld1	113	21	Hamiltonian	Hamiltonian	NNP
cord-342591-6joc2ld1	113	22	of	of	IN
cord-342591-6joc2ld1	113	23	the	the	DT
cord-342591-6joc2ld1	113	24	optimal	optimal	JJ
cord-342591-6joc2ld1	113	25	control	control	NN
cord-342591-6joc2ld1	113	26	problem	problem	NN
cord-342591-6joc2ld1	113	27	is	be	VBZ
cord-342591-6joc2ld1	113	28	constructed	construct	VBN
cord-342591-6joc2ld1	113	29	in	in	IN
cord-342591-6joc2ld1	113	30	order	order	NN
cord-342591-6joc2ld1	113	31	to	to	TO
cord-342591-6joc2ld1	113	32	produce	produce	VB
cord-342591-6joc2ld1	113	33	the	the	DT
cord-342591-6joc2ld1	113	34	optimal	optimal	JJ
cord-342591-6joc2ld1	113	35	control	control	NN
cord-342591-6joc2ld1	113	36	necessary	necessary	JJ
cord-342591-6joc2ld1	113	37	requirements	requirement	NNS
cord-342591-6joc2ld1	113	38	.	.	.
cord-342591-6joc2ld1	114	1	Compute	compute	VB
cord-342591-6joc2ld1	114	2	the	the	DT
cord-342591-6joc2ld1	114	3	optimal	optimal	JJ
cord-342591-6joc2ld1	114	4	values	value	NNS
cord-342591-6joc2ld1	114	5	of	of	IN
cord-342591-6joc2ld1	114	6	vaccination	vaccination	NN
cord-342591-6joc2ld1	114	7	and	and	CC
cord-342591-6joc2ld1	114	8	treatment	treatment	NN
cord-342591-6joc2ld1	114	9	strategies	strategy	NNS
cord-342591-6joc2ld1	114	10	that	that	WDT
cord-342591-6joc2ld1	114	11	would	would	MD
cord-342591-6joc2ld1	114	12	maximize	maximize	VB
cord-342591-6joc2ld1	114	13	the	the	DT
cord-342591-6joc2ld1	114	14	Healed	heal	VBN
cord-342591-6joc2ld1	114	15	population	population	NN
cord-342591-6joc2ld1	114	16	phase	phase	NN
cord-342591-6joc2ld1	114	17	(	(	-LRB-
cord-342591-6joc2ld1	114	18	)	)	-RRB-
cord-342591-6joc2ld1	114	19	and	and	CC
cord-342591-6joc2ld1	114	20	minimize	minimize	VB
cord-342591-6joc2ld1	114	21	the	the	DT
cord-342591-6joc2ld1	114	22	determined	determine	VBN
cord-342591-6joc2ld1	114	23	infected	infected	JJ
cord-342591-6joc2ld1	114	24	phases	phase	NNS
cord-342591-6joc2ld1	114	25	(	(	-LRB-
cord-342591-6joc2ld1	114	26	)	)	-RRB-
cord-342591-6joc2ld1	114	27	and	and	CC
cord-342591-6joc2ld1	114	28	susceptible	susceptible	JJ
cord-342591-6joc2ld1	114	29	(	(	-LRB-
cord-342591-6joc2ld1	114	30	)	)	-RRB-
cord-342591-6joc2ld1	114	31	population	population	NN
cord-342591-6joc2ld1	114	32	phases	phase	NNS
cord-342591-6joc2ld1	114	33	.	.	.
cord-342591-6joc2ld1	115	1	In	in	IN
cord-342591-6joc2ld1	115	2	addition	addition	NN
cord-342591-6joc2ld1	115	3	,	,	,
cord-342591-6joc2ld1	115	4	the	the	DT
cord-342591-6joc2ld1	115	5	charges	charge	NNS
cord-342591-6joc2ld1	115	6	of	of	IN
cord-342591-6joc2ld1	115	7	utilizing	utilize	VBG
cord-342591-6joc2ld1	115	8	the	the	DT
cord-342591-6joc2ld1	115	9	vaccination	vaccination	NN
cord-342591-6joc2ld1	115	10	and	and	CC
cord-342591-6joc2ld1	115	11	treatment	treatment	NN
cord-342591-6joc2ld1	115	12	methods	method	NNS
cord-342591-6joc2ld1	115	13	are	be	VBP
cord-342591-6joc2ld1	115	14	minimized	minimize	VBN
cord-342591-6joc2ld1	115	15	.	.	.
cord-342591-6joc2ld1	116	1	Then	then	RB
cord-342591-6joc2ld1	116	2	the	the	DT
cord-342591-6joc2ld1	116	3	optimal	optimal	JJ
cord-342591-6joc2ld1	116	4	control	control	NN
cord-342591-6joc2ld1	116	5	problem	problem	NN
cord-342591-6joc2ld1	116	6	of	of	IN
cord-342591-6joc2ld1	116	7	the	the	DT
cord-342591-6joc2ld1	116	8	following	following	JJ
cord-342591-6joc2ld1	116	9	form	form	NN
cord-342591-6joc2ld1	116	10	is	be	VBZ
cord-342591-6joc2ld1	116	11	considered	consider	VBN
cord-342591-6joc2ld1	116	12	(	(	-LRB-
cord-342591-6joc2ld1	116	13	see	see	VB
cord-342591-6joc2ld1	116	14	for	for	IN
cord-342591-6joc2ld1	116	15	example	example	NN
cord-342591-6joc2ld1	116	16	[	[	-LRB-
cord-342591-6joc2ld1	116	17	1	1	CD
cord-342591-6joc2ld1	116	18	,	,	,
cord-342591-6joc2ld1	116	19	2	2	CD
cord-342591-6joc2ld1	116	20	,	,	,
cord-342591-6joc2ld1	116	21	5	5	CD
cord-342591-6joc2ld1	116	22	,	,	,
cord-342591-6joc2ld1	116	23	6	6	CD
cord-342591-6joc2ld1	116	24	,	,	,
cord-342591-6joc2ld1	116	25	10	10	CD
cord-342591-6joc2ld1	116	26	,	,	,
cord-342591-6joc2ld1	116	27	20	20	CD
cord-342591-6joc2ld1	116	28	,	,	,
cord-342591-6joc2ld1	116	29	24	24	CD
cord-342591-6joc2ld1	116	30	,	,	,
cord-342591-6joc2ld1	116	31	25	25	CD
cord-342591-6joc2ld1	116	32	,	,	,
cord-342591-6joc2ld1	116	33	34	34	CD
cord-342591-6joc2ld1	116	34	,	,	,
cord-342591-6joc2ld1	116	35	37	37	CD
cord-342591-6joc2ld1	116	36	,	,	,
cord-342591-6joc2ld1	116	37	[	[	-LRB-
cord-342591-6joc2ld1	116	38	44	44	CD
cord-342591-6joc2ld1	116	39	]	]	-RRB-
cord-342591-6joc2ld1	116	40	[	[	-LRB-
cord-342591-6joc2ld1	116	41	45	45	CD
cord-342591-6joc2ld1	116	42	]	]	-RRB-
cord-342591-6joc2ld1	116	43	[	[	-LRB-
cord-342591-6joc2ld1	116	44	46	46	CD
cord-342591-6joc2ld1	116	45	]	]	-RRB-
cord-342591-6joc2ld1	116	46	[	[	-LRB-
cord-342591-6joc2ld1	116	47	47	47	CD
cord-342591-6joc2ld1	116	48	]	]	-RRB-
cord-342591-6joc2ld1	116	49	.	.	.
cord-342591-6joc2ld1	117	1	That	that	DT
cord-342591-6joc2ld1	117	2	obeys	obey	VBZ
cord-342591-6joc2ld1	117	3	the	the	DT
cord-342591-6joc2ld1	117	4	constraints	constraint	NNS
cord-342591-6joc2ld1	117	5	 	 	_SP
cord-342591-6joc2ld1	118	1	The	the	DT
cord-342591-6joc2ld1	118	2	control	control	NN
cord-342591-6joc2ld1	118	3	function	function	NN
cord-342591-6joc2ld1	118	4	represents	represent	VBZ
cord-342591-6joc2ld1	118	5	the	the	DT
cord-342591-6joc2ld1	118	6	vaccination	vaccination	NN
cord-342591-6joc2ld1	118	7	strategy	strategy	NN
cord-342591-6joc2ld1	118	8	applied	apply	VBN
cord-342591-6joc2ld1	118	9	on	on	IN
cord-342591-6joc2ld1	118	10	the	the	DT
cord-342591-6joc2ld1	118	11	susceptible	susceptible	JJ
cord-342591-6joc2ld1	118	12	 	 	_SP
cord-342591-6joc2ld1	119	1	The	the	DT
cord-342591-6joc2ld1	119	2	four	four	CD
cord-342591-6joc2ld1	119	3	constants	constant	NNS
cord-342591-6joc2ld1	119	4	1	1	CD
cord-342591-6joc2ld1	119	5	2	2	CD
cord-342591-6joc2ld1	119	6	3	3	CD
cord-342591-6joc2ld1	119	7	,	,	,
cord-342591-6joc2ld1	119	8	,	,	,
cord-342591-6joc2ld1	119	9	c	c	NNP
cord-342591-6joc2ld1	119	10	c	c	NN
cord-342591-6joc2ld1	119	11	c	c	NNP
cord-342591-6joc2ld1	119	12	and	and	CC
cord-342591-6joc2ld1	119	13	4	4	CD
cord-342591-6joc2ld1	119	14	c	c	NN
cord-342591-6joc2ld1	119	15	are	be	VBP
cord-342591-6joc2ld1	119	16	the	the	DT
cord-342591-6joc2ld1	119	17	cost	cost	NN
cord-342591-6joc2ld1	119	18	correspond	correspond	NN
cord-342591-6joc2ld1	119	19	to	to	IN
cord-342591-6joc2ld1	119	20	utilizing	utilize	VBG
cord-342591-6joc2ld1	119	21	each	each	DT
cord-342591-6joc2ld1	119	22	control	control	NN
cord-342591-6joc2ld1	119	23	function	function	NN
cord-342591-6joc2ld1	119	24	.	.	.
cord-342591-6joc2ld1	120	1	The	the	DT
cord-342591-6joc2ld1	120	2	uncontrolled	uncontrolled	JJ
cord-342591-6joc2ld1	120	3	system	system	NN
cord-342591-6joc2ld1	120	4	(	(	-LRB-
cord-342591-6joc2ld1	120	5	put	put	VB
cord-342591-6joc2ld1	120	6	0	0	CD
cord-342591-6joc2ld1	121	1	i	i	PRP
cord-342591-6joc2ld1	121	2	u	u	NNP
cord-342591-6joc2ld1	121	3			NNP
cord-342591-6joc2ld1	121	4	in	in	IN
cord-342591-6joc2ld1	121	5	(	(	-LRB-
cord-342591-6joc2ld1	121	6	4.2	4.2	CD
cord-342591-6joc2ld1	121	7	)	)	-RRB-
cord-342591-6joc2ld1	121	8	)	)	-RRB-
cord-342591-6joc2ld1	121	9	.	.	.
cord-342591-6joc2ld1	122	1	For	for	IN
cord-342591-6joc2ld1	122	2	certain	certain	JJ
cord-342591-6joc2ld1	122	3	initial	initial	JJ
cord-342591-6joc2ld1	122	4	conditions	condition	NNS
cord-342591-6joc2ld1	122	5	:	:	:
cord-342591-6joc2ld1	122	6	that	that	IN
cord-342591-6joc2ld1	122	7	their	-PRON-	PRP$
cord-342591-6joc2ld1	122	8	sum	sum	NN
cord-342591-6joc2ld1	122	9	equal	equal	JJ
cord-342591-6joc2ld1	122	10	one	one	NN
cord-342591-6joc2ld1	122	11	,	,	,
cord-342591-6joc2ld1	122	12	it	-PRON-	PRP
cord-342591-6joc2ld1	122	13	is	be	VBZ
cord-342591-6joc2ld1	122	14	obvious	obvious	JJ
cord-342591-6joc2ld1	122	15	that	that	IN
cord-342591-6joc2ld1	122	16	the	the	DT
cord-342591-6joc2ld1	122	17	final	final	JJ
cord-342591-6joc2ld1	122	18	values	value	NNS
cord-342591-6joc2ld1	122	19	of	of	IN
cord-342591-6joc2ld1	122	20	the	the	DT
cord-342591-6joc2ld1	122	21	state	state	NN
cord-342591-6joc2ld1	122	22	variables	variable	NNS
cord-342591-6joc2ld1	122	23	approach	approach	VBP
cord-342591-6joc2ld1	122	24	to	to	IN
cord-342591-6joc2ld1	122	25	an	an	DT
cord-342591-6joc2ld1	122	26	equilibrium	equilibrium	NN
cord-342591-6joc2ld1	122	27	:	:	:
cord-342591-6joc2ld1	122	28			NNS
cord-342591-6joc2ld1	122	29	which	which	WDT
cord-342591-6joc2ld1	122	30	means	mean	VBZ
cord-342591-6joc2ld1	122	31	that	that	IN
cord-342591-6joc2ld1	122	32	the	the	DT
cord-342591-6joc2ld1	122	33	phenomenon	phenomenon	NN
cord-342591-6joc2ld1	122	34	of	of	IN
cord-342591-6joc2ld1	122	35	epidemic	epidemic	NN
cord-342591-6joc2ld1	122	36	is	be	VBZ
cord-342591-6joc2ld1	122	37	finished	finish	VBN
cord-342591-6joc2ld1	122	38	(	(	-LRB-
cord-342591-6joc2ld1	122	39	see	see	VB
cord-342591-6joc2ld1	122	40	[	[	-LRB-
cord-342591-6joc2ld1	122	41	21	21	CD
cord-342591-6joc2ld1	122	42	]	]	-RRB-
cord-342591-6joc2ld1	122	43	)	)	-RRB-
cord-342591-6joc2ld1	122	44	.	.	.
cord-342591-6joc2ld1	123	1	The	the	DT
cord-342591-6joc2ld1	123	2	possible	possible	JJ
cord-342591-6joc2ld1	123	3	equilibrium	equilibrium	NN
cord-342591-6joc2ld1	123	4	points	point	NNS
cord-342591-6joc2ld1	123	5	of	of	IN
cord-342591-6joc2ld1	123	6	the	the	DT
cord-342591-6joc2ld1	123	7	system	system	NN
cord-342591-6joc2ld1	123	8	are	be	VBP
cord-342591-6joc2ld1	123	9	given	give	VBN
cord-342591-6joc2ld1	123	10	by	by	IN
cord-342591-6joc2ld1	123	11	(	(	-LRB-
cord-342591-6joc2ld1	123	12	,	,	,
cord-342591-6joc2ld1	123	13	0	0	CD
cord-342591-6joc2ld1	123	14	,	,	,
cord-342591-6joc2ld1	123	15	0	0	CD
cord-342591-6joc2ld1	123	16	,	,	,
cord-342591-6joc2ld1	123	17	0	0	CD
cord-342591-6joc2ld1	123	18	,	,	,
cord-342591-6joc2ld1	123	19	0	0	CD
cord-342591-6joc2ld1	123	20	,	,	,
cord-342591-6joc2ld1	123	21	0	0	CD
cord-342591-6joc2ld1	123	22	,	,	,
cord-342591-6joc2ld1	123	23	,	,	,
cord-342591-6joc2ld1	123	24	)	)	-RRB-
cord-342591-6joc2ld1	124	1	The	the	DT
cord-342591-6joc2ld1	124	2	incidence	incidence	NN
cord-342591-6joc2ld1	124	3	function	function	NN
cord-342591-6joc2ld1	124	4	of	of	IN
cord-342591-6joc2ld1	124	5	the	the	DT
cord-342591-6joc2ld1	124	6	system	system	NN
cord-342591-6joc2ld1	124	7	is	be	VBZ
cord-342591-6joc2ld1	124	8	:	:	:
cord-342591-6joc2ld1	124	9	In	in	IN
cord-342591-6joc2ld1	124	10	the	the	DT
cord-342591-6joc2ld1	124	11	following	following	JJ
cord-342591-6joc2ld1	124	12	result	result	NN
cord-342591-6joc2ld1	124	13	,	,	,
cord-342591-6joc2ld1	124	14	the	the	DT
cord-342591-6joc2ld1	124	15	existence	existence	NN
cord-342591-6joc2ld1	124	16	of	of	IN
cord-342591-6joc2ld1	124	17	the	the	DT
cord-342591-6joc2ld1	124	18	optimal	optimal	JJ
cord-342591-6joc2ld1	124	19	control	control	NN
cord-342591-6joc2ld1	124	20	is	be	VBZ
cord-342591-6joc2ld1	124	21	proved	prove	VBN
cord-342591-6joc2ld1	124	22	.	.	.
cord-342591-6joc2ld1	125	1	Proof	proof	NN
cord-342591-6joc2ld1	125	2	.	.	.
cord-342591-6joc2ld1	126	1	In	in	IN
cord-342591-6joc2ld1	126	2	order	order	NN
cord-342591-6joc2ld1	126	3	to	to	TO
cord-342591-6joc2ld1	126	4	prove	prove	VB
cord-342591-6joc2ld1	126	5	the	the	DT
cord-342591-6joc2ld1	126	6	optimal	optimal	JJ
cord-342591-6joc2ld1	126	7	control	control	NN
cord-342591-6joc2ld1	126	8	quadruple	quadruple	JJ
cord-342591-6joc2ld1	126	9	 	 	_SP
cord-342591-6joc2ld1	126	10			NNP
cord-342591-6joc2ld1	126	11			NNP
cord-342591-6joc2ld1	126	12			CD
cord-342591-6joc2ld1	126	13			CD
cord-342591-6joc2ld1	126	14			NNP
cord-342591-6joc2ld1	126	15			NNP
cord-342591-6joc2ld1	126	16			NNP
cord-342591-6joc2ld1	126	17			NNP
cord-342591-6joc2ld1	126	18			CD
cord-342591-6joc2ld1	126	19			NNS
cord-342591-6joc2ld1	126	20			NNP
cord-342591-6joc2ld1	126	21			CD
cord-342591-6joc2ld1	126	22			CD
cord-342591-6joc2ld1	126	23			CD
cord-342591-6joc2ld1	126	24			NNS
cord-342591-6joc2ld1	126	25	Since	since	IN
cord-342591-6joc2ld1	126	26	1	1	CD
cord-342591-6joc2ld1	126	27	S	s	NN
cord-342591-6joc2ld1	126	28	I	i	NN
cord-342591-6joc2ld1	126	29	D	d	NN
cord-342591-6joc2ld1	126	30	A	a	NN
cord-342591-6joc2ld1	126	31	R	r	NN
cord-342591-6joc2ld1	126	32	T	t	NN
cord-342591-6joc2ld1	126	33	H	h	NN
cord-342591-6joc2ld1	126	34	E	e	NN
cord-342591-6joc2ld1	126	35			NNP
cord-342591-6joc2ld1	126	36			NN
cord-342591-6joc2ld1	126	37			NNP
cord-342591-6joc2ld1	126	38			NNP
cord-342591-6joc2ld1	126	39			NNP
cord-342591-6joc2ld1	126	40			NNP
cord-342591-6joc2ld1	126	41			NNP
cord-342591-6joc2ld1	126	42			NNPS
cord-342591-6joc2ld1	126	43	This	this	DT
cord-342591-6joc2ld1	126	44	subsection	subsection	NN
cord-342591-6joc2ld1	126	45	records	record	VBZ
cord-342591-6joc2ld1	126	46	the	the	DT
cord-342591-6joc2ld1	126	47	needed	need	VBN
cord-342591-6joc2ld1	126	48	conditions	condition	NNS
cord-342591-6joc2ld1	126	49	for	for	IN
cord-342591-6joc2ld1	126	50	the	the	DT
cord-342591-6joc2ld1	126	51	optimal	optimal	JJ
cord-342591-6joc2ld1	126	52	control	control	NN
cord-342591-6joc2ld1	126	53	to	to	TO
cord-342591-6joc2ld1	126	54	be	be	VB
cord-342591-6joc2ld1	126	55	exist	exist	VB
cord-342591-6joc2ld1	126	56	.	.	.
cord-342591-6joc2ld1	127	1	The	the	DT
cord-342591-6joc2ld1	127	2	necessary	necessary	JJ
cord-342591-6joc2ld1	127	3	conditions	condition	NNS
cord-342591-6joc2ld1	127	4	are	be	VBP
cord-342591-6joc2ld1	127	5	computed	compute	VBN
cord-342591-6joc2ld1	127	6	here	here	RB
cord-342591-6joc2ld1	127	7	via	via	IN
cord-342591-6joc2ld1	127	8	constructing	construct	VBG
cord-342591-6joc2ld1	127	9	the	the	DT
cord-342591-6joc2ld1	127	10	Hamiltonian	Hamiltonian	NNP
cord-342591-6joc2ld1	127	11	(	(	-LRB-
cord-342591-6joc2ld1	127	12			NFP
cord-342591-6joc2ld1	127	13	)	)	-RRB-
cord-342591-6joc2ld1	127	14	and	and	CC
cord-342591-6joc2ld1	127	15	satisfying	satisfy	VBG
cord-342591-6joc2ld1	127	16	the	the	DT
cord-342591-6joc2ld1	127	17	maximum	maximum	JJ
cord-342591-6joc2ld1	127	18	basis	basis	NN
cord-342591-6joc2ld1	127	19	of	of	IN
cord-342591-6joc2ld1	127	20	Pontryagin	Pontryagin	NNP
cord-342591-6joc2ld1	127	21	[	[	-LRB-
cord-342591-6joc2ld1	127	22	5	5	CD
cord-342591-6joc2ld1	127	23	]	]	-RRB-
cord-342591-6joc2ld1	127	24	.	.	.
cord-342591-6joc2ld1	128	1	Let	let	VB
cord-342591-6joc2ld1	128	2	us	-PRON-	PRP
cord-342591-6joc2ld1	128	3	denote	denote	VB
cord-342591-6joc2ld1	128	4	by	by	IN
cord-342591-6joc2ld1	128	5	is	be	VBZ
cord-342591-6joc2ld1	128	6	the	the	DT
cord-342591-6joc2ld1	128	7	optimal	optimal	JJ
cord-342591-6joc2ld1	128	8	controls	control	NNS
cord-342591-6joc2ld1	128	9	and	and	CC
cord-342591-6joc2ld1	128	10	be	be	VB
cord-342591-6joc2ld1	128	11	the	the	DT
cord-342591-6joc2ld1	128	12	related	related	JJ
cord-342591-6joc2ld1	128	13	optimal	optimal	JJ
cord-342591-6joc2ld1	128	14	population	population	NN
cord-342591-6joc2ld1	128	15	phases	phase	NNS
cord-342591-6joc2ld1	128	16	fractions	fraction	NNS
cord-342591-6joc2ld1	128	17	.	.	.
cord-342591-6joc2ld1	129	1	Consequently	consequently	RB
cord-342591-6joc2ld1	129	2	,	,	,
cord-342591-6joc2ld1	129	3	there	there	EX
cord-342591-6joc2ld1	129	4	exists	exist	VBZ
cord-342591-6joc2ld1	129	5	such	such	JJ
cord-342591-6joc2ld1	129	6	that	that	IN
cord-342591-6joc2ld1	129	7	the	the	DT
cord-342591-6joc2ld1	129	8	necessary	necessary	JJ
cord-342591-6joc2ld1	129	9	conditions	condition	NNS
cord-342591-6joc2ld1	129	10	for	for	IN
cord-342591-6joc2ld1	129	11	the	the	DT
cord-342591-6joc2ld1	129	12	optimal	optimal	JJ
cord-342591-6joc2ld1	129	13	control	control	NN
cord-342591-6joc2ld1	129	14	to	to	TO
cord-342591-6joc2ld1	129	15	be	be	VB
cord-342591-6joc2ld1	129	16	exist	exist	VBN
cord-342591-6joc2ld1	129	17	are	be	VBP
cord-342591-6joc2ld1	129	18	produced	produce	VBN
cord-342591-6joc2ld1	129	19	by	by	IN
cord-342591-6joc2ld1	129	20	(	(	-LRB-
cord-342591-6joc2ld1	129	21	see	see	VB
cord-342591-6joc2ld1	129	22	for	for	IN
cord-342591-6joc2ld1	129	23	example	example	NN
cord-342591-6joc2ld1	129	24	[	[	-LRB-
cord-342591-6joc2ld1	129	25	5	5	CD
cord-342591-6joc2ld1	129	26	]	]	-RRB-
cord-342591-6joc2ld1	130	1	):	):	NNP
cord-342591-6joc2ld1	131	1	From	from	IN
cord-342591-6joc2ld1	131	2	(	(	-LRB-
cord-342591-6joc2ld1	131	3	4.4	4.4	CD
cord-342591-6joc2ld1	131	4	)	)	-RRB-
cord-342591-6joc2ld1	131	5	and	and	CC
cord-342591-6joc2ld1	131	6	(	(	-LRB-
cord-342591-6joc2ld1	131	7	4.6	4.6	CD
cord-342591-6joc2ld1	131	8	)	)	-RRB-
cord-342591-6joc2ld1	131	9	,	,	,
cord-342591-6joc2ld1	131	10	the	the	DT
cord-342591-6joc2ld1	131	11	optimization	optimization	NN
cord-342591-6joc2ld1	131	12	constraints	constraint	NNS
cord-342591-6joc2ld1	131	13	can	can	MD
cord-342591-6joc2ld1	131	14	be	be	VB
cord-342591-6joc2ld1	131	15	found	find	VBN
cord-342591-6joc2ld1	131	16	as	as	IN
cord-342591-6joc2ld1	131	17	:	:	:
cord-342591-6joc2ld1	131	18	 	 	_SP
cord-342591-6joc2ld1	131	19	From	from	IN
cord-342591-6joc2ld1	131	20	(	(	-LRB-
cord-342591-6joc2ld1	131	21	4.7	4.7	CD
cord-342591-6joc2ld1	131	22	)	)	-RRB-
cord-342591-6joc2ld1	131	23	,	,	,
cord-342591-6joc2ld1	131	24	we	-PRON-	PRP
cord-342591-6joc2ld1	131	25	can	can	MD
cord-342591-6joc2ld1	131	26	find	find	VB
cord-342591-6joc2ld1	131	27	that	that	IN
cord-342591-6joc2ld1	131	28	 	 	_SP
cord-342591-6joc2ld1	131	29	From	from	IN
cord-342591-6joc2ld1	131	30	the	the	DT
cord-342591-6joc2ld1	131	31	state	state	NN
cord-342591-6joc2ld1	131	32	variables	variable	NNS
cord-342591-6joc2ld1	131	33	system	system	NN
cord-342591-6joc2ld1	131	34	given	give	VBN
cord-342591-6joc2ld1	131	35	in	in	IN
cord-342591-6joc2ld1	131	36	(	(	-LRB-
cord-342591-6joc2ld1	131	37	4.2	4.2	CD
cord-342591-6joc2ld1	131	38	)	)	-RRB-
cord-342591-6joc2ld1	131	39	,	,	,
cord-342591-6joc2ld1	131	40	the	the	DT
cord-342591-6joc2ld1	131	41	co	co	JJ
cord-342591-6joc2ld1	131	42	-	-	JJ
cord-342591-6joc2ld1	131	43	state	state	NN
cord-342591-6joc2ld1	131	44	conditions	condition	NNS
cord-342591-6joc2ld1	131	45	are	be	VBP
cord-342591-6joc2ld1	131	46	:	:	:
cord-342591-6joc2ld1	131	47	Which	which	WDT
cord-342591-6joc2ld1	131	48	can	can	MD
cord-342591-6joc2ld1	131	49	be	be	VB
cord-342591-6joc2ld1	131	50	simplified	simplify	VBN
cord-342591-6joc2ld1	131	51	to	to	TO
cord-342591-6joc2ld1	131	52	produce	produce	VB
cord-342591-6joc2ld1	131	53	the	the	DT
cord-342591-6joc2ld1	131	54	following	follow	VBG
cord-342591-6joc2ld1	131	55	co	co	JJ
cord-342591-6joc2ld1	131	56	-	-	JJ
cord-342591-6joc2ld1	131	57	state	state	JJ
cord-342591-6joc2ld1	131	58	system	system	NN
cord-342591-6joc2ld1	131	59	:	:	:
cord-342591-6joc2ld1	131	60	 	 	_SP
cord-342591-6joc2ld1	132	1	The	the	DT
cord-342591-6joc2ld1	132	2	transversality	transversality	NN
cord-342591-6joc2ld1	132	3	conditions	condition	NNS
cord-342591-6joc2ld1	132	4	leads	lead	VBZ
cord-342591-6joc2ld1	132	5	to	to	IN
cord-342591-6joc2ld1	132	6	The	the	DT
cord-342591-6joc2ld1	132	7	collection	collection	NN
cord-342591-6joc2ld1	132	8	of	of	IN
cord-342591-6joc2ld1	132	9	permissible	permissible	JJ
cord-342591-6joc2ld1	132	10	controls	control	NNS
cord-342591-6joc2ld1	133	1	U	U	NNP
cord-342591-6joc2ld1	133	2	is	be	VBZ
cord-342591-6joc2ld1	133	3	convex	convex	JJ
cord-342591-6joc2ld1	133	4	.	.	.
cord-342591-6joc2ld1	134	1	17	17	CD
cord-342591-6joc2ld1	135	1	The	the	DT
cord-342591-6joc2ld1	135	2	effect	effect	NN
cord-342591-6joc2ld1	135	3	of	of	IN
cord-342591-6joc2ld1	135	4	applying	apply	VBG
cord-342591-6joc2ld1	135	5	the	the	DT
cord-342591-6joc2ld1	135	6	different	different	JJ
cord-342591-6joc2ld1	135	7	control	control	NN
cord-342591-6joc2ld1	135	8	strategies	strategy	NNS
cord-342591-6joc2ld1	135	9	will	will	MD
cord-342591-6joc2ld1	135	10	be	be	VB
cord-342591-6joc2ld1	135	11	simulated	simulate	VBN
cord-342591-6joc2ld1	135	12	numerically	numerically	RB
cord-342591-6joc2ld1	135	13	in	in	IN
cord-342591-6joc2ld1	135	14	Section	section	NN
cord-342591-6joc2ld1	135	15	6	6	CD
cord-342591-6joc2ld1	135	16	.	.	.
cord-342591-6joc2ld1	136	1	In	in	IN
cord-342591-6joc2ld1	136	2	this	this	DT
cord-342591-6joc2ld1	136	3	fifth	fifth	JJ
cord-342591-6joc2ld1	136	4	section	section	NN
cord-342591-6joc2ld1	136	5	,	,	,
cord-342591-6joc2ld1	136	6	we	-PRON-	PRP
cord-342591-6joc2ld1	136	7	solve	solve	VBP
cord-342591-6joc2ld1	136	8	the	the	DT
cord-342591-6joc2ld1	136	9	fractional	fractional	JJ
cord-342591-6joc2ld1	136	10	order	order	NN
cord-342591-6joc2ld1	136	11	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	136	12	model	model	NN
cord-342591-6joc2ld1	136	13	numerically	numerically	RB
cord-342591-6joc2ld1	136	14	utilizing	utilize	VBG
cord-342591-6joc2ld1	136	15	the	the	DT
cord-342591-6joc2ld1	136	16	predictor	predictor	NN
cord-342591-6joc2ld1	136	17	-	-	HYPH
cord-342591-6joc2ld1	136	18	corrector	corrector	NN
cord-342591-6joc2ld1	136	19	PECE	PECE	NNP
cord-342591-6joc2ld1	136	20	method	method	NN
cord-342591-6joc2ld1	136	21	of	of	IN
cord-342591-6joc2ld1	136	22	Adams	Adams	NNP
cord-342591-6joc2ld1	136	23	-	-	HYPH
cord-342591-6joc2ld1	136	24	Bashforth	Bashforth	NNP
cord-342591-6joc2ld1	136	25	-	-	HYPH
cord-342591-6joc2ld1	136	26	Moulton	Moulton	NNP
cord-342591-6joc2ld1	136	27	type	type	NN
cord-342591-6joc2ld1	136	28	described	describe	VBN
cord-342591-6joc2ld1	136	29	in	in	IN
cord-342591-6joc2ld1	136	30	details	detail	NNS
cord-342591-6joc2ld1	136	31	in	in	IN
cord-342591-6joc2ld1	136	32	[	[	-LRB-
cord-342591-6joc2ld1	136	33	15	15	CD
cord-342591-6joc2ld1	136	34	,	,	,
cord-342591-6joc2ld1	136	35	19	19	CD
cord-342591-6joc2ld1	136	36	]	]	-RRB-
cord-342591-6joc2ld1	136	37	.	.	.
cord-342591-6joc2ld1	137	1	The	the	DT
cord-342591-6joc2ld1	137	2	parameters	parameter	NNS
cord-342591-6joc2ld1	137	3	'	'	POS
cord-342591-6joc2ld1	137	4	values	value	NNS
cord-342591-6joc2ld1	137	5	used	use	VBN
cord-342591-6joc2ld1	137	6	for	for	IN
cord-342591-6joc2ld1	137	7	the	the	DT
cord-342591-6joc2ld1	137	8	numerical	numerical	JJ
cord-342591-6joc2ld1	137	9	simulation	simulation	NN
cord-342591-6joc2ld1	137	10	are	be	VBP
cord-342591-6joc2ld1	137	11	estimated	estimate	VBN
cord-342591-6joc2ld1	137	12	from	from	IN
cord-342591-6joc2ld1	137	13	the	the	DT
cord-342591-6joc2ld1	137	14	Italian	italian	JJ
cord-342591-6joc2ld1	137	15	real	real	JJ
cord-342591-6joc2ld1	137	16	life	life	NN
cord-342591-6joc2ld1	137	17	statistics	statistic	NNS
cord-342591-6joc2ld1	137	18	published	publish	VBN
cord-342591-6joc2ld1	137	19	in	in	IN
cord-342591-6joc2ld1	137	20	[	[	-LRB-
cord-342591-6joc2ld1	137	21	21	21	CD
cord-342591-6joc2ld1	137	22	]	]	-RRB-
cord-342591-6joc2ld1	137	23	where	where	WRB
cord-342591-6joc2ld1	137	24	:	:	:
cord-342591-6joc2ld1	137	25	The	the	DT
cord-342591-6joc2ld1	137	26	total	total	JJ
cord-342591-6joc2ld1	137	27	population	population	NN
cord-342591-6joc2ld1	137	28	are	be	VBP
cord-342591-6joc2ld1	137	29	taken	take	VBN
cord-342591-6joc2ld1	137	30	100	100	CD
cord-342591-6joc2ld1	137	31	Million	million	CD
cord-342591-6joc2ld1	137	32	and	and	CC
cord-342591-6joc2ld1	137	33	the	the	DT
cord-342591-6joc2ld1	137	34	initial	initial	JJ
cord-342591-6joc2ld1	137	35	values	value	NNS
cord-342591-6joc2ld1	137	36	of	of	IN
cord-342591-6joc2ld1	137	37	the	the	DT
cord-342591-6joc2ld1	137	38	different	different	JJ
cord-342591-6joc2ld1	137	39	population	population	NN
cord-342591-6joc2ld1	137	40	phases	phase	NNS
cord-342591-6joc2ld1	137	41	after	after	IN
cord-342591-6joc2ld1	137	42	normalization	normalization	NN
cord-342591-6joc2ld1	137	43	are	be	VBP
cord-342591-6joc2ld1	137	44	(	(	-LRB-
cord-342591-6joc2ld1	137	45	let	let	VB
cord-342591-6joc2ld1	137	46	be	be	VB
cord-342591-6joc2ld1	137	47	the	the	DT
cord-342591-6joc2ld1	137	48	total	total	JJ
cord-342591-6joc2ld1	137	49	population	population	NN
cord-342591-6joc2ld1	137	50	)	)	-RRB-
cord-342591-6joc2ld1	137	51	:	:	:
cord-342591-6joc2ld1	137	52	In	in	IN
cord-342591-6joc2ld1	137	53	the	the	DT
cord-342591-6joc2ld1	137	54	following	following	NN
cord-342591-6joc2ld1	137	55	,	,	,
cord-342591-6joc2ld1	137	56	we	-PRON-	PRP
cord-342591-6joc2ld1	137	57	display	display	VBP
cord-342591-6joc2ld1	137	58	the	the	DT
cord-342591-6joc2ld1	137	59	results	result	NNS
cord-342591-6joc2ld1	137	60	of	of	IN
cord-342591-6joc2ld1	137	61	the	the	DT
cord-342591-6joc2ld1	137	62	numerical	numerical	JJ
cord-342591-6joc2ld1	137	63	simulation	simulation	NN
cord-342591-6joc2ld1	137	64	of	of	IN
cord-342591-6joc2ld1	137	65	the	the	DT
cord-342591-6joc2ld1	137	66	uncontrolled	uncontrolled	JJ
cord-342591-6joc2ld1	137	67	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	137	68	model	model	NN
cord-342591-6joc2ld1	137	69	.	.	.
cord-342591-6joc2ld1	138	1	Figure	figure	NN
cord-342591-6joc2ld1	138	2	2	2	CD
cord-342591-6joc2ld1	138	3	with	with	IN
cord-342591-6joc2ld1	138	4	different	different	JJ
cord-342591-6joc2ld1	138	5	fractional	fractional	JJ
cord-342591-6joc2ld1	138	6	derivative	derivative	JJ
cord-342591-6joc2ld1	138	7	order	order	NN
cord-342591-6joc2ld1	138	8	.	.	.
cord-342591-6joc2ld1	139	1	Figure	figure	NN
cord-342591-6joc2ld1	139	2	9	9	CD
cord-342591-6joc2ld1	139	3	displays	display	NNS
cord-342591-6joc2ld1	139	4	the	the	DT
cord-342591-6joc2ld1	139	5	phase	phase	NN
cord-342591-6joc2ld1	139	6	plane	plane	NN
cord-342591-6joc2ld1	139	7	of	of	IN
cord-342591-6joc2ld1	139	8	state	state	NN
cord-342591-6joc2ld1	139	9	variables	variable	NNS
cord-342591-6joc2ld1	139	10	:	:	:
cord-342591-6joc2ld1	139	11	total	total	JJ
cord-342591-6joc2ld1	139	12	infected	infected	JJ
cord-342591-6joc2ld1	139	13	(	(	-LRB-
cord-342591-6joc2ld1	139	14	)	)	-RRB-
cord-342591-6joc2ld1	139	15	and	and	CC
cord-342591-6joc2ld1	139	16	susceptible	susceptible	JJ
cord-342591-6joc2ld1	139	17	cases	case	NNS
cord-342591-6joc2ld1	139	18	(	(	-LRB-
cord-342591-6joc2ld1	139	19	S(t	S(t	NNP
cord-342591-6joc2ld1	139	20	)	)	-RRB-
cord-342591-6joc2ld1	139	21	)	)	-RRB-
cord-342591-6joc2ld1	139	22	with	with	IN
cord-342591-6joc2ld1	139	23	different	different	JJ
cord-342591-6joc2ld1	139	24	fractional	fractional	JJ
cord-342591-6joc2ld1	139	25	derivative	derivative	JJ
cord-342591-6joc2ld1	139	26	order	order	NN
cord-342591-6joc2ld1	139	27	.	.	.
cord-342591-6joc2ld1	140	1	Figure	figure	NN
cord-342591-6joc2ld1	140	2	10	10	CD
cord-342591-6joc2ld1	140	3	displays	display	NNS
cord-342591-6joc2ld1	140	4	the	the	DT
cord-342591-6joc2ld1	140	5	phase	phase	NN
cord-342591-6joc2ld1	140	6	plane	plane	NN
cord-342591-6joc2ld1	140	7	of	of	IN
cord-342591-6joc2ld1	140	8	state	state	NN
cord-342591-6joc2ld1	140	9	variables	variable	NNS
cord-342591-6joc2ld1	140	10	:	:	:
cord-342591-6joc2ld1	140	11	total	total	JJ
cord-342591-6joc2ld1	140	12	infected	infected	JJ
cord-342591-6joc2ld1	140	13	)	)	-RRB-
cord-342591-6joc2ld1	140	14	and	and	CC
cord-342591-6joc2ld1	140	15	healed	heal	VBN
cord-342591-6joc2ld1	140	16	cases	case	NNS
cord-342591-6joc2ld1	140	17	(	(	-LRB-
cord-342591-6joc2ld1	140	18	H(t	H(t	NNP
cord-342591-6joc2ld1	140	19	)	)	-RRB-
cord-342591-6joc2ld1	140	20	)	)	-RRB-
cord-342591-6joc2ld1	140	21	with	with	IN
cord-342591-6joc2ld1	140	22	different	different	JJ
cord-342591-6joc2ld1	140	23	fractional	fractional	JJ
cord-342591-6joc2ld1	140	24	derivative	derivative	JJ
cord-342591-6joc2ld1	140	25	order	order	NN
cord-342591-6joc2ld1	140	26	.	.	.
cord-342591-6joc2ld1	141	1	From	from	IN
cord-342591-6joc2ld1	141	2	the	the	DT
cord-342591-6joc2ld1	141	3	results	result	NNS
cord-342591-6joc2ld1	141	4	and	and	CC
cord-342591-6joc2ld1	141	5	the	the	DT
cord-342591-6joc2ld1	141	6	figures	figure	NNS
cord-342591-6joc2ld1	141	7	mentioned	mention	VBN
cord-342591-6joc2ld1	141	8	here	here	RB
cord-342591-6joc2ld1	141	9	,	,	,
cord-342591-6joc2ld1	141	10	we	-PRON-	PRP
cord-342591-6joc2ld1	141	11	can	can	MD
cord-342591-6joc2ld1	141	12	state	state	VB
cord-342591-6joc2ld1	141	13	that	that	IN
cord-342591-6joc2ld1	141	14	decreasing	decrease	VBG
cord-342591-6joc2ld1	141	15	the	the	DT
cord-342591-6joc2ld1	141	16	fractional	fractional	JJ
cord-342591-6joc2ld1	141	17	derivative	derivative	JJ
cord-342591-6joc2ld1	141	18	order	order	NN
cord-342591-6joc2ld1	141	19	decreases	decrease	VBZ
cord-342591-6joc2ld1	141	20	the	the	DT
cord-342591-6joc2ld1	141	21	number	number	NN
cord-342591-6joc2ld1	141	22	of	of	IN
cord-342591-6joc2ld1	141	23	each	each	DT
cord-342591-6joc2ld1	141	24	population	population	NN
cord-342591-6joc2ld1	141	25	phase	phase	NN
cord-342591-6joc2ld1	141	26	(	(	-LRB-
cord-342591-6joc2ld1	141	27	except	except	IN
cord-342591-6joc2ld1	141	28	Susceptible	susceptible	JJ
cord-342591-6joc2ld1	141	29	19	19	CD
cord-342591-6joc2ld1	141	30	population	population	NN
cord-342591-6joc2ld1	141	31	fraction	fraction	NN
cord-342591-6joc2ld1	141	32	as	as	IN
cord-342591-6joc2ld1	141	33	expected	expect	VBN
cord-342591-6joc2ld1	141	34	)	)	-RRB-
cord-342591-6joc2ld1	141	35	and	and	CC
cord-342591-6joc2ld1	141	36	flatten	flatten	VB
cord-342591-6joc2ld1	141	37	the	the	DT
cord-342591-6joc2ld1	141	38	curves	curve	NNS
cord-342591-6joc2ld1	141	39	also	also	RB
cord-342591-6joc2ld1	141	40	delays	delay	VBZ
cord-342591-6joc2ld1	141	41	reaching	reach	VBG
cord-342591-6joc2ld1	141	42	the	the	DT
cord-342591-6joc2ld1	141	43	maximum	maximum	NN
cord-342591-6joc2ld1	141	44	in	in	IN
cord-342591-6joc2ld1	141	45	each	each	DT
cord-342591-6joc2ld1	141	46	population	population	NN
cord-342591-6joc2ld1	141	47	phase	phase	NN
cord-342591-6joc2ld1	141	48	.	.	.
cord-342591-6joc2ld1	142	1	23	23	CD
cord-342591-6joc2ld1	142	2	Figure	figure	NN
cord-342591-6joc2ld1	142	3	10	10	CD
cord-342591-6joc2ld1	142	4	.	.	.
cord-342591-6joc2ld1	143	1	The	the	DT
cord-342591-6joc2ld1	143	2	phase	phase	NN
cord-342591-6joc2ld1	143	3	plane	plane	NN
cord-342591-6joc2ld1	143	4	of	of	IN
cord-342591-6joc2ld1	143	5	state	state	NN
cord-342591-6joc2ld1	143	6	variables	variable	NNS
cord-342591-6joc2ld1	143	7	:	:	:
cord-342591-6joc2ld1	143	8	Total	total	JJ
cord-342591-6joc2ld1	143	9	infected	infected	JJ
cord-342591-6joc2ld1	143	10	)	)	-RRB-
cord-342591-6joc2ld1	143	11	and	and	CC
cord-342591-6joc2ld1	143	12	Healed	heal	VBN
cord-342591-6joc2ld1	143	13	cases	case	NNS
cord-342591-6joc2ld1	143	14	(	(	-LRB-
cord-342591-6joc2ld1	143	15	H(t	H(t	NNP
cord-342591-6joc2ld1	143	16	)	)	-RRB-
cord-342591-6joc2ld1	143	17	)	)	-RRB-
cord-342591-6joc2ld1	143	18	with	with	IN
cord-342591-6joc2ld1	143	19	different	different	JJ
cord-342591-6joc2ld1	143	20	fractional	fractional	JJ
cord-342591-6joc2ld1	143	21	derivative	derivative	JJ
cord-342591-6joc2ld1	143	22	order	order	NN
cord-342591-6joc2ld1	143	23	.	.	.
cord-342591-6joc2ld1	144	1	In	in	IN
cord-342591-6joc2ld1	144	2	this	this	DT
cord-342591-6joc2ld1	144	3	subsection	subsection	NN
cord-342591-6joc2ld1	144	4	,	,	,
cord-342591-6joc2ld1	144	5	we	-PRON-	PRP
cord-342591-6joc2ld1	144	6	show	show	VBP
cord-342591-6joc2ld1	144	7	the	the	DT
cord-342591-6joc2ld1	144	8	effect	effect	NN
cord-342591-6joc2ld1	144	9	of	of	IN
cord-342591-6joc2ld1	144	10	changing	change	VBG
cord-342591-6joc2ld1	144	11	certain	certain	JJ
cord-342591-6joc2ld1	144	12	system	system	NN
cord-342591-6joc2ld1	144	13	parameters	parameter	NNS
cord-342591-6joc2ld1	144	14	on	on	IN
cord-342591-6joc2ld1	144	15	different	different	JJ
cord-342591-6joc2ld1	144	16	population	population	NN
cord-342591-6joc2ld1	144	17	phases	phase	NNS
cord-342591-6joc2ld1	144	18	at	at	IN
cord-342591-6joc2ld1	144	19	day	day	NN
cord-342591-6joc2ld1	144	20	60	60	CD
cord-342591-6joc2ld1	144	21	with	with	IN
cord-342591-6joc2ld1	144	22	various	various	JJ
cord-342591-6joc2ld1	144	23	fractional	fractional	JJ
cord-342591-6joc2ld1	144	24	derivative	derivative	JJ
cord-342591-6joc2ld1	144	25	order	order	NN
cord-342591-6joc2ld1	144	26	.	.	.
cord-342591-6joc2ld1	145	1	Figure	figure	NN
cord-342591-6joc2ld1	145	2	 	 	_SP
cord-342591-6joc2ld1	146	1	The	the	DT
cord-342591-6joc2ld1	146	2	mean	mean	JJ
cord-342591-6joc2ld1	146	3	rate	rate	NN
cord-342591-6joc2ld1	146	4	of	of	IN
cord-342591-6joc2ld1	146	5	separation	separation	NN
cord-342591-6joc2ld1	146	6	or	or	CC
cord-342591-6joc2ld1	146	7	contraction	contraction	NN
cord-342591-6joc2ld1	146	8	of	of	IN
cord-342591-6joc2ld1	146	9	tiny	tiny	JJ
cord-342591-6joc2ld1	146	10	phase	phase	NN
cord-342591-6joc2ld1	146	11	-	-	HYPH
cord-342591-6joc2ld1	146	12	space	space	NN
cord-342591-6joc2ld1	146	13	disturbances	disturbance	NNS
cord-342591-6joc2ld1	146	14	of	of	IN
cord-342591-6joc2ld1	146	15	a	a	DT
cord-342591-6joc2ld1	146	16	dynamical	dynamical	JJ
cord-342591-6joc2ld1	146	17	system	system	NN
cord-342591-6joc2ld1	146	18	beginning	begin	VBG
cord-342591-6joc2ld1	146	19	from	from	IN
cord-342591-6joc2ld1	146	20	near	near	IN
cord-342591-6joc2ld1	146	21	starting	starting	NN
cord-342591-6joc2ld1	146	22	points	point	NNS
cord-342591-6joc2ld1	146	23	is	be	VBZ
cord-342591-6joc2ld1	146	24	metered	meter	VBN
cord-342591-6joc2ld1	146	25	by	by	IN
cord-342591-6joc2ld1	146	26	the	the	DT
cord-342591-6joc2ld1	146	27	Lyapunov	Lyapunov	NNP
cord-342591-6joc2ld1	146	28	exponents	exponent	NNS
cord-342591-6joc2ld1	146	29	(	(	-LRB-
cord-342591-6joc2ld1	146	30	LEs	LEs	NNP
cord-342591-6joc2ld1	146	31	)	)	-RRB-
cord-342591-6joc2ld1	146	32	[	[	-LRB-
cord-342591-6joc2ld1	146	33	55	55	CD
cord-342591-6joc2ld1	146	34	]	]	-RRB-
cord-342591-6joc2ld1	146	35	.	.	.
cord-342591-6joc2ld1	147	1	Thus	thus	RB
cord-342591-6joc2ld1	147	2	,	,	,
cord-342591-6joc2ld1	147	3	they	-PRON-	PRP
cord-342591-6joc2ld1	147	4	can	can	MD
cord-342591-6joc2ld1	147	5	be	be	VB
cord-342591-6joc2ld1	147	6	utilized	utilize	VBN
cord-342591-6joc2ld1	147	7	to	to	TO
cord-342591-6joc2ld1	147	8	study	study	VB
cord-342591-6joc2ld1	147	9	the	the	DT
cord-342591-6joc2ld1	147	10	stability	stability	NN
cord-342591-6joc2ld1	147	11	of	of	IN
cord-342591-6joc2ld1	147	12	dynamical	dynamical	JJ
cord-342591-6joc2ld1	147	13	systems	system	NNS
cord-342591-6joc2ld1	147	14	and	and	CC
cord-342591-6joc2ld1	147	15	to	to	TO
cord-342591-6joc2ld1	147	16	examine	examine	VB
cord-342591-6joc2ld1	147	17	sensitive	sensitive	JJ
cord-342591-6joc2ld1	147	18	reliance	reliance	NN
cord-342591-6joc2ld1	147	19	on	on	IN
cord-342591-6joc2ld1	147	20	starting	start	VBG
cord-342591-6joc2ld1	147	21	conditions	condition	NNS
cord-342591-6joc2ld1	147	22	,	,	,
cord-342591-6joc2ld1	147	23	that	that	DT
cord-342591-6joc2ld1	147	24	implies	imply	VBZ
cord-342591-6joc2ld1	147	25	,	,	,
cord-342591-6joc2ld1	147	26	the	the	DT
cord-342591-6joc2ld1	147	27	presence	presence	NN
cord-342591-6joc2ld1	147	28	of	of	IN
cord-342591-6joc2ld1	147	29	hidden	hidden	JJ
cord-342591-6joc2ld1	147	30	chaotic	chaotic	JJ
cord-342591-6joc2ld1	147	31	dynamics	dynamic	NNS
cord-342591-6joc2ld1	147	32	.	.	.
cord-342591-6joc2ld1	148	1	It	-PRON-	PRP
cord-342591-6joc2ld1	148	2	is	be	VBZ
cord-342591-6joc2ld1	148	3	important	important	JJ
cord-342591-6joc2ld1	148	4	to	to	TO
cord-342591-6joc2ld1	148	5	check	check	VB
cord-342591-6joc2ld1	148	6	the	the	DT
cord-342591-6joc2ld1	148	7	epidemic	epidemic	NN
cord-342591-6joc2ld1	148	8	transition	transition	NN
cord-342591-6joc2ld1	148	9	models	model	NNS
cord-342591-6joc2ld1	148	10	if	if	IN
cord-342591-6joc2ld1	148	11	it	-PRON-	PRP
cord-342591-6joc2ld1	148	12	is	be	VBZ
cord-342591-6joc2ld1	148	13	chaotic	chaotic	JJ
cord-342591-6joc2ld1	148	14	or	or	CC
cord-342591-6joc2ld1	148	15	not	not	RB
cord-342591-6joc2ld1	148	16	via	via	IN
cord-342591-6joc2ld1	148	17	calculating	calculate	VBG
cord-342591-6joc2ld1	148	18	LEs	LEs	NNP
cord-342591-6joc2ld1	148	19	.	.	.
cord-342591-6joc2ld1	149	1	Corresponding	correspond	VBG
cord-342591-6joc2ld1	149	2	techniques	technique	NNS
cord-342591-6joc2ld1	149	3	for	for	IN
cord-342591-6joc2ld1	149	4	the	the	DT
cord-342591-6joc2ld1	149	5	LEs	LEs	NNP
cord-342591-6joc2ld1	149	6	calculation	calculation	NN
cord-342591-6joc2ld1	149	7	and	and	CC
cord-342591-6joc2ld1	149	8	their	-PRON-	PRP$
cord-342591-6joc2ld1	149	9	distinction	distinction	NN
cord-342591-6joc2ld1	149	10	are	be	VBP
cord-342591-6joc2ld1	149	11	studied	study	VBN
cord-342591-6joc2ld1	149	12	,	,	,
cord-342591-6joc2ld1	149	13	e.g.	e.g.	RB
cord-342591-6joc2ld1	149	14	,	,	,
cord-342591-6joc2ld1	149	15	in	in	IN
cord-342591-6joc2ld1	149	16	[	[	-LRB-
cord-342591-6joc2ld1	149	17	35	35	CD
cord-342591-6joc2ld1	149	18	,	,	,
cord-342591-6joc2ld1	149	19	36	36	CD
cord-342591-6joc2ld1	149	20	]	]	-RRB-
cord-342591-6joc2ld1	149	21	.	.	.
cord-342591-6joc2ld1	150	1	The	the	DT
cord-342591-6joc2ld1	150	2	studied	study	VBN
cord-342591-6joc2ld1	150	3	system	system	NN
cord-342591-6joc2ld1	150	4	represented	represent	VBN
cord-342591-6joc2ld1	150	5	by	by	IN
cord-342591-6joc2ld1	150	6	equations	equation	NNS
cord-342591-6joc2ld1	150	7	:	:	:
cord-342591-6joc2ld1	150	8	(	(	-LRB-
cord-342591-6joc2ld1	150	9	3.1	3.1	LS
cord-342591-6joc2ld1	150	10	)	)	-RRB-
cord-342591-6joc2ld1	150	11	-(3.8	-(3.8	NFP
cord-342591-6joc2ld1	150	12	)	)	-RRB-
cord-342591-6joc2ld1	150	13	is	be	VBZ
cord-342591-6joc2ld1	150	14	stable	stable	JJ
cord-342591-6joc2ld1	150	15	[	[	-LRB-
cord-342591-6joc2ld1	150	16	21	21	CD
cord-342591-6joc2ld1	150	17	]	]	-RRB-
cord-342591-6joc2ld1	150	18	.	.	.
cord-342591-6joc2ld1	151	1	Here	here	RB
cord-342591-6joc2ld1	151	2	,	,	,
cord-342591-6joc2ld1	151	3	we	-PRON-	PRP
cord-342591-6joc2ld1	151	4	confirm	confirm	VBP
cord-342591-6joc2ld1	151	5	its	-PRON-	PRP$
cord-342591-6joc2ld1	151	6	stability	stability	NN
cord-342591-6joc2ld1	151	7	for	for	IN
cord-342591-6joc2ld1	151	8	different	different	JJ
cord-342591-6joc2ld1	151	9	values	value	NNS
cord-342591-6joc2ld1	151	10	of	of	IN
cord-342591-6joc2ld1	151	11	fractional	fractional	JJ
cord-342591-6joc2ld1	151	12	derivative	derivative	JJ
cord-342591-6joc2ld1	151	13	order	order	NN
cord-342591-6joc2ld1	151	14	via	via	IN
cord-342591-6joc2ld1	151	15	plotting	plot	VBG
cord-342591-6joc2ld1	151	16	the	the	DT
cord-342591-6joc2ld1	151	17	relationship	relationship	NN
cord-342591-6joc2ld1	151	18	between	between	IN
cord-342591-6joc2ld1	151	19	the	the	DT
cord-342591-6joc2ld1	151	20	fraction	fraction	NN
cord-342591-6joc2ld1	151	21	derivative	derivative	JJ
cord-342591-6joc2ld1	151	22	order	order	NN
cord-342591-6joc2ld1	151	23	and	and	CC
cord-342591-6joc2ld1	151	24	the	the	DT
cord-342591-6joc2ld1	151	25	eight	eight	CD
cord-342591-6joc2ld1	151	26	Lyapunov	Lyapunov	NNP
cord-342591-6joc2ld1	151	27	exponents	exponent	NNS
cord-342591-6joc2ld1	151	28	of	of	IN
cord-342591-6joc2ld1	151	29	the	the	DT
cord-342591-6joc2ld1	151	30	system	system	NN
cord-342591-6joc2ld1	151	31	.	.	.
cord-342591-6joc2ld1	152	1	Figure	figure	NN
cord-342591-6joc2ld1	152	2	  	  	_SP
cord-342591-6joc2ld1	152	3	23	23	CD
cord-342591-6joc2ld1	152	4	shows	show	NNS
cord-342591-6joc2ld1	152	5	that	that	IN
cord-342591-6joc2ld1	152	6	all	all	DT
cord-342591-6joc2ld1	152	7	system	system	NN
cord-342591-6joc2ld1	152	8	eight	eight	CD
cord-342591-6joc2ld1	153	1	Lyapunov	lyapunov	JJ
cord-342591-6joc2ld1	153	2	exponents	exponent	NNS
cord-342591-6joc2ld1	153	3	are	be	VBP
cord-342591-6joc2ld1	153	4	negative	negative	JJ
cord-342591-6joc2ld1	153	5	with	with	IN
cord-342591-6joc2ld1	153	6	different	different	JJ
cord-342591-6joc2ld1	153	7	fraction	fraction	NN
cord-342591-6joc2ld1	153	8	derivative	derivative	JJ
cord-342591-6joc2ld1	153	9	order	order	NN
cord-342591-6joc2ld1	153	10	as	as	IN
cord-342591-6joc2ld1	153	11	time	time	NN
cord-342591-6joc2ld1	153	12	approaches	approach	VBZ
cord-342591-6joc2ld1	153	13	infinity	infinity	NN
cord-342591-6joc2ld1	153	14	(	(	-LRB-
cord-342591-6joc2ld1	153	15	here	here	RB
cord-342591-6joc2ld1	153	16	,	,	,
cord-342591-6joc2ld1	153	17	time	time	NN
cord-342591-6joc2ld1	153	18	is	be	VBZ
cord-342591-6joc2ld1	153	19	taken	take	VBN
cord-342591-6joc2ld1	153	20	1500	1500	CD
cord-342591-6joc2ld1	153	21	)	)	-RRB-
cord-342591-6joc2ld1	153	22	.	.	.
cord-342591-6joc2ld1	154	1	Figure	figure	NN
cord-342591-6joc2ld1	154	2	24	24	CD
cord-342591-6joc2ld1	154	3	shows	show	VBZ
cord-342591-6joc2ld1	154	4	the	the	DT
cord-342591-6joc2ld1	154	5	31	31	CD
cord-342591-6joc2ld1	154	6	dynamics	dynamic	NNS
cord-342591-6joc2ld1	154	7	of	of	IN
cord-342591-6joc2ld1	154	8	the	the	DT
cord-342591-6joc2ld1	154	9	system	system	NN
cord-342591-6joc2ld1	154	10	eight	eight	CD
cord-342591-6joc2ld1	154	11	Lyapunov	Lyapunov	NNP
cord-342591-6joc2ld1	154	12	exponents	exponent	NNS
cord-342591-6joc2ld1	154	13	with	with	IN
cord-342591-6joc2ld1	154	14	time	time	NN
cord-342591-6joc2ld1	154	15	.	.	.
cord-342591-6joc2ld1	155	1	In	in	IN
cord-342591-6joc2ld1	155	2	Figure	figure	NN
cord-342591-6joc2ld1	155	3	24	24	CD
cord-342591-6joc2ld1	155	4	-(a	-(a	CD
cord-342591-6joc2ld1	155	5	)	)	-RRB-
cord-342591-6joc2ld1	155	6	to	to	IN
cord-342591-6joc2ld1	155	7	24-(d	24-(d	CD
cord-342591-6joc2ld1	155	8	)	)	-RRB-
cord-342591-6joc2ld1	155	9	with	with	IN
cord-342591-6joc2ld1	155	10	different	different	JJ
cord-342591-6joc2ld1	155	11	fraction	fraction	NN
cord-342591-6joc2ld1	155	12	derivative	derivative	JJ
cord-342591-6joc2ld1	155	13	order	order	NN
cord-342591-6joc2ld1	155	14	,	,	,
cord-342591-6joc2ld1	155	15	the	the	DT
cord-342591-6joc2ld1	155	16	system	system	NN
cord-342591-6joc2ld1	155	17	eight	eight	CD
cord-342591-6joc2ld1	155	18	Lyapunov	Lyapunov	NNP
cord-342591-6joc2ld1	155	19	exponents	exponent	NNS
cord-342591-6joc2ld1	155	20	approaches	approach	VBZ
cord-342591-6joc2ld1	155	21	negative	negative	JJ
cord-342591-6joc2ld1	155	22	end	end	NN
cord-342591-6joc2ld1	155	23	which	which	WDT
cord-342591-6joc2ld1	155	24	confirm	confirm	VBP
cord-342591-6joc2ld1	155	25	the	the	DT
cord-342591-6joc2ld1	155	26	system	system	NN
cord-342591-6joc2ld1	155	27	stability	stability	NN
cord-342591-6joc2ld1	155	28	with	with	IN
cord-342591-6joc2ld1	155	29	different	different	JJ
cord-342591-6joc2ld1	155	30	fractional	fractional	JJ
cord-342591-6joc2ld1	155	31	derivative	derivative	JJ
cord-342591-6joc2ld1	155	32	orders	order	NNS
cord-342591-6joc2ld1	155	33	.	.	.
cord-342591-6joc2ld1	156	1	For	for	IN
cord-342591-6joc2ld1	156	2	more	more	JJR
cord-342591-6joc2ld1	156	3	details	detail	NNS
cord-342591-6joc2ld1	156	4	about	about	IN
cord-342591-6joc2ld1	156	5	Lyapunov	Lyapunov	NNP
cord-342591-6joc2ld1	156	6	exponents	exponent	NNS
cord-342591-6joc2ld1	156	7	see	see	VBP
cord-342591-6joc2ld1	156	8	[	[	-LRB-
cord-342591-6joc2ld1	156	9	55	55	CD
cord-342591-6joc2ld1	156	10	]	]	-RRB-
cord-342591-6joc2ld1	156	11	.	.	.
cord-342591-6joc2ld1	157	1	Here	here	RB
cord-342591-6joc2ld1	157	2	,	,	,
cord-342591-6joc2ld1	157	3	we	-PRON-	PRP
cord-342591-6joc2ld1	157	4	use	use	VBP
cord-342591-6joc2ld1	157	5	the	the	DT
cord-342591-6joc2ld1	157	6	method	method	NN
cord-342591-6joc2ld1	157	7	in	in	IN
cord-342591-6joc2ld1	157	8	[	[	-LRB-
cord-342591-6joc2ld1	157	9	13	13	CD
cord-342591-6joc2ld1	157	10	]	]	-RRB-
cord-342591-6joc2ld1	157	11	for	for	IN
cord-342591-6joc2ld1	157	12	calculating	calculate	VBG
cord-342591-6joc2ld1	157	13	the	the	DT
cord-342591-6joc2ld1	157	14	fractional	fractional	JJ
cord-342591-6joc2ld1	157	15	order	order	NN
cord-342591-6joc2ld1	157	16	Lyapunov	Lyapunov	NNP
cord-342591-6joc2ld1	157	17	exponents	exponent	NNS
cord-342591-6joc2ld1	157	18	.	.	.
cord-342591-6joc2ld1	157	19	 	 	_SP
cord-342591-6joc2ld1	158	1	This	this	DT
cord-342591-6joc2ld1	158	2	research	research	NN
cord-342591-6joc2ld1	158	3	has	have	VBZ
cord-342591-6joc2ld1	158	4	been	be	VBN
cord-342591-6joc2ld1	158	5	carried	carry	VBN
cord-342591-6joc2ld1	158	6	out	out	RP
cord-342591-6joc2ld1	158	7	to	to	IN
cord-342591-6joc2ld1	158	8	the	the	DT
cord-342591-6joc2ld1	158	9	analysis	analysis	NN
cord-342591-6joc2ld1	158	10	of	of	IN
cord-342591-6joc2ld1	158	11	an	an	DT
cord-342591-6joc2ld1	158	12	eight	eight	CD
cord-342591-6joc2ld1	158	13	dimension	dimension	NN
cord-342591-6joc2ld1	158	14	fractional	fractional	JJ
cord-342591-6joc2ld1	158	15	-order	-order	:
cord-342591-6joc2ld1	158	16	SIDARTHE	SIDARTHE	NNS
cord-342591-6joc2ld1	158	17	COVID-19	covid-19	DT
cord-342591-6joc2ld1	158	18	mathematical	mathematical	JJ
cord-342591-6joc2ld1	158	19	model	model	NN
cord-342591-6joc2ld1	158	20	.	.	.
cord-342591-6joc2ld1	159	1	In	in	IN
cord-342591-6joc2ld1	159	2	this	this	DT
cord-342591-6joc2ld1	159	3	8-D	8-d	CD
cord-342591-6joc2ld1	159	4	CVID-19	CVID-19	,
cord-342591-6joc2ld1	159	5	mathematical	mathematical	JJ
cord-342591-6joc2ld1	159	6	model	model	NN
cord-342591-6joc2ld1	159	7	,	,	,
cord-342591-6joc2ld1	159	8	the	the	DT
cord-342591-6joc2ld1	159	9	infected	infected	JJ
cord-342591-6joc2ld1	159	10	population	population	NN
cord-342591-6joc2ld1	159	11	fraction	fraction	NN
cord-342591-6joc2ld1	159	12	is	be	VBZ
cord-342591-6joc2ld1	159	13	partitioned	partition	VBN
cord-342591-6joc2ld1	159	14	into	into	IN
cord-342591-6joc2ld1	159	15	five	five	CD
cord-342591-6joc2ld1	159	16	different	different	JJ
cord-342591-6joc2ld1	159	17	population	population	NN
cord-342591-6joc2ld1	159	18	fractions	fraction	NNS
cord-342591-6joc2ld1	159	19	:	:	:
cord-342591-6joc2ld1	159	20	.	.	.
cord-342591-6joc2ld1	160	1	It	-PRON-	PRP
cord-342591-6joc2ld1	160	2	is	be	VBZ
cord-342591-6joc2ld1	160	3	the	the	DT
cord-342591-6joc2ld1	160	4	first	first	JJ
cord-342591-6joc2ld1	160	5	time	time	NN
cord-342591-6joc2ld1	160	6	to	to	TO
cord-342591-6joc2ld1	160	7	study	study	VB
cord-342591-6joc2ld1	160	8	such	such	JJ
cord-342591-6joc2ld1	160	9	model	model	NN
cord-342591-6joc2ld1	160	10	with	with	IN
cord-342591-6joc2ld1	160	11	fractional	fractional	JJ
cord-342591-6joc2ld1	160	12	order	order	NN
cord-342591-6joc2ld1	160	13	.	.	.
cord-342591-6joc2ld1	161	1	The	the	DT
cord-342591-6joc2ld1	161	2	existence	existence	NN
cord-342591-6joc2ld1	161	3	of	of	IN
cord-342591-6joc2ld1	161	4	stable	stable	JJ
cord-342591-6joc2ld1	161	5	solution	solution	NN
cord-342591-6joc2ld1	161	6	of	of	IN
cord-342591-6joc2ld1	161	7	the	the	DT
cord-342591-6joc2ld1	161	8	fractional	fractional	JJ
cord-342591-6joc2ld1	161	9	order	order	NN
cord-342591-6joc2ld1	161	10	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	161	11	model	model	NN
cord-342591-6joc2ld1	161	12	is	be	VBZ
cord-342591-6joc2ld1	161	13	proved	prove	VBN
cord-342591-6joc2ld1	161	14	.	.	.
cord-342591-6joc2ld1	162	1	The	the	DT
cord-342591-6joc2ld1	162	2	fractional	fractional	JJ
cord-342591-6joc2ld1	162	3	order	order	NN
cord-342591-6joc2ld1	162	4	necessary	necessary	JJ
cord-342591-6joc2ld1	162	5	conditions	condition	NNS
cord-342591-6joc2ld1	162	6	for	for	IN
cord-342591-6joc2ld1	162	7	a	a	DT
cord-342591-6joc2ld1	162	8	four	four	CD
cord-342591-6joc2ld1	162	9	optimal	optimal	JJ
cord-342591-6joc2ld1	162	10	control	control	NN
cord-342591-6joc2ld1	162	11	strategies	strategy	NNS
cord-342591-6joc2ld1	162	12	are	be	VBP
cord-342591-6joc2ld1	162	13	implemented	implement	VBN
cord-342591-6joc2ld1	162	14	.	.	.
cord-342591-6joc2ld1	163	1	In	in	IN
cord-342591-6joc2ld1	163	2	addition	addition	NN
cord-342591-6joc2ld1	163	3	,	,	,
cord-342591-6joc2ld1	163	4	the	the	DT
cord-342591-6joc2ld1	163	5	system	system	NN
cord-342591-6joc2ld1	163	6	dynamics	dynamic	NNS
cord-342591-6joc2ld1	163	7	displayed	display	VBD
cord-342591-6joc2ld1	163	8	via	via	IN
cord-342591-6joc2ld1	163	9	the	the	DT
cord-342591-6joc2ld1	163	10	fraction	fraction	NN
cord-342591-6joc2ld1	163	11	order	order	NN
cord-342591-6joc2ld1	163	12	numerical	numerical	JJ
cord-342591-6joc2ld1	163	13	solver	solver	NN
cord-342591-6joc2ld1	163	14	by	by	IN
cord-342591-6joc2ld1	163	15	MATLAB	MATLAB	NNP
cord-342591-6joc2ld1	163	16	software	software	NN
cord-342591-6joc2ld1	163	17	with	with	IN
cord-342591-6joc2ld1	163	18	different	different	JJ
cord-342591-6joc2ld1	163	19	fractional	fractional	JJ
cord-342591-6joc2ld1	163	20	orders	order	NNS
cord-342591-6joc2ld1	163	21	and	and	CC
cord-342591-6joc2ld1	163	22	the	the	DT
cord-342591-6joc2ld1	163	23	effects	effect	NNS
cord-342591-6joc2ld1	163	24	of	of	IN
cord-342591-6joc2ld1	163	25	changing	change	VBG
cord-342591-6joc2ld1	163	26	the	the	DT
cord-342591-6joc2ld1	163	27	infection	infection	NN
cord-342591-6joc2ld1	163	28	rates	rate	NNS
cord-342591-6joc2ld1	163	29	parameters	parameter	NNS
cord-342591-6joc2ld1	163	30	are	be	VBP
cord-342591-6joc2ld1	163	31	presented	present	VBN
cord-342591-6joc2ld1	163	32	in	in	IN
cord-342591-6joc2ld1	163	33	this	this	DT
cord-342591-6joc2ld1	163	34	manuscript	manuscript	NN
cord-342591-6joc2ld1	163	35	with	with	IN
cord-342591-6joc2ld1	163	36	different	different	JJ
cord-342591-6joc2ld1	163	37	fractional	fractional	JJ
cord-342591-6joc2ld1	163	38	orders	order	NNS
cord-342591-6joc2ld1	163	39	.	.	.
cord-342591-6joc2ld1	164	1	The	the	DT
cord-342591-6joc2ld1	164	2	effects	effect	NNS
cord-342591-6joc2ld1	164	3	of	of	IN
cord-342591-6joc2ld1	164	4	changing	change	VBG
cord-342591-6joc2ld1	164	5	the	the	DT
cord-342591-6joc2ld1	164	6	fractional	fractional	JJ
cord-342591-6joc2ld1	164	7	order	order	NN
cord-342591-6joc2ld1	164	8	on	on	IN
cord-342591-6joc2ld1	164	9	the	the	DT
cord-342591-6joc2ld1	164	10	system	system	NN
cord-342591-6joc2ld1	165	1	Lyapunov	lyapunov	JJ
cord-342591-6joc2ld1	165	2	exponent	exponent	NN
cord-342591-6joc2ld1	165	3	are	be	VBP
cord-342591-6joc2ld1	165	4	also	also	RB
cord-342591-6joc2ld1	165	5	displayed	display	VBN
cord-342591-6joc2ld1	165	6	.	.	.
cord-342591-6joc2ld1	166	1	The	the	DT
cord-342591-6joc2ld1	166	2	dynamics	dynamic	NNS
cord-342591-6joc2ld1	166	3	of	of	IN
cord-342591-6joc2ld1	166	4	the	the	DT
cord-342591-6joc2ld1	166	5	system	system	NN
cord-342591-6joc2ld1	166	6	are	be	VBP
cord-342591-6joc2ld1	166	7	presented	present	VBN
cord-342591-6joc2ld1	166	8	before	before	IN
cord-342591-6joc2ld1	166	9	and	and	CC
cord-342591-6joc2ld1	166	10	after	after	IN
cord-342591-6joc2ld1	166	11	control	control	NN
cord-342591-6joc2ld1	166	12	.	.	.
cord-342591-6joc2ld1	167	1	From	from	IN
cord-342591-6joc2ld1	167	2	our	-PRON-	PRP$
cord-342591-6joc2ld1	167	3	study	study	NN
cord-342591-6joc2ld1	167	4	,	,	,
cord-342591-6joc2ld1	167	5	we	-PRON-	PRP
cord-342591-6joc2ld1	167	6	can	can	MD
cord-342591-6joc2ld1	167	7	state	state	VB
cord-342591-6joc2ld1	167	8	that	that	IN
cord-342591-6joc2ld1	167	9	decreasing	decrease	VBG
cord-342591-6joc2ld1	167	10	the	the	DT
cord-342591-6joc2ld1	167	11	fractional	fractional	JJ
cord-342591-6joc2ld1	167	12	derivative	derivative	JJ
cord-342591-6joc2ld1	167	13	order	order	NN
cord-342591-6joc2ld1	167	14	decreases	decrease	VBZ
cord-342591-6joc2ld1	167	15	the	the	DT
cord-342591-6joc2ld1	167	16	number	number	NN
cord-342591-6joc2ld1	167	17	of	of	IN
cord-342591-6joc2ld1	167	18	cases	case	NNS
cord-342591-6joc2ld1	167	19	in	in	IN
cord-342591-6joc2ld1	167	20	all	all	DT
cord-342591-6joc2ld1	167	21	population	population	NN
cord-342591-6joc2ld1	167	22	fraction	fraction	NN
cord-342591-6joc2ld1	167	23	phases	phase	NNS
cord-342591-6joc2ld1	167	24	and	and	CC
cord-342591-6joc2ld1	167	25	delays	delay	NNS
cord-342591-6joc2ld1	167	26	the	the	DT
cord-342591-6joc2ld1	167	27	maximum	maximum	JJ
cord-342591-6joc2ld1	167	28	plus	plus	CC
cord-342591-6joc2ld1	167	29	changing	change	VBG
cord-342591-6joc2ld1	167	30	the	the	DT
cord-342591-6joc2ld1	167	31	value	value	NN
cord-342591-6joc2ld1	167	32	of	of	IN
cord-342591-6joc2ld1	167	33	the	the	DT
cord-342591-6joc2ld1	167	34	fractional	fractional	JJ
cord-342591-6joc2ld1	167	35	derivative	derivative	JJ
cord-342591-6joc2ld1	167	36	order	order	NN
cord-342591-6joc2ld1	167	37	has	have	VBZ
cord-342591-6joc2ld1	167	38	no	no	DT
cord-342591-6joc2ld1	167	39	effect	effect	NN
cord-342591-6joc2ld1	167	40	on	on	IN
cord-342591-6joc2ld1	167	41	the	the	DT
cord-342591-6joc2ld1	167	42	stability	stability	NN
cord-342591-6joc2ld1	167	43	of	of	IN
cord-342591-6joc2ld1	167	44	the	the	DT
cord-342591-6joc2ld1	167	45	system	system	NN
cord-342591-6joc2ld1	167	46	since	since	IN
cord-342591-6joc2ld1	167	47	its	-PRON-	PRP$
cord-342591-6joc2ld1	167	48	all	all	DT
cord-342591-6joc2ld1	167	49	Lyapunov	Lyapunov	NNP
cord-342591-6joc2ld1	167	50	exponents	exponent	NNS
cord-342591-6joc2ld1	167	51	still	still	RB
cord-342591-6joc2ld1	167	52	negative	negative	JJ
cord-342591-6joc2ld1	167	53	.	.	.
cord-342591-6joc2ld1	168	1	The	the	DT
cord-342591-6joc2ld1	168	2	proposed	propose	VBN
cord-342591-6joc2ld1	168	3	38	38	CD
cord-342591-6joc2ld1	168	4	fractional	fractional	JJ
cord-342591-6joc2ld1	168	5	order	order	NN
cord-342591-6joc2ld1	168	6	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	168	7	SIDARTHE	SIDARTHE	NNP
cord-342591-6joc2ld1	168	8	model	model	NN
cord-342591-6joc2ld1	168	9	predicts	predict	VBZ
cord-342591-6joc2ld1	168	10	the	the	DT
cord-342591-6joc2ld1	168	11	evolution	evolution	NN
cord-342591-6joc2ld1	168	12	of	of	IN
cord-342591-6joc2ld1	168	13	COVID-19	covid-19	JJ
cord-342591-6joc2ld1	168	14	epidemic	epidemic	NN
cord-342591-6joc2ld1	168	15	and	and	CC
cord-342591-6joc2ld1	168	16	try	try	VB
cord-342591-6joc2ld1	168	17	to	to	TO
cord-342591-6joc2ld1	168	18	help	help	VB
cord-342591-6joc2ld1	168	19	in	in	IN
cord-342591-6joc2ld1	168	20	understanding	understand	VBG
cord-342591-6joc2ld1	168	21	the	the	DT
cord-342591-6joc2ld1	168	22	impact	impact	NN
cord-342591-6joc2ld1	168	23	of	of	IN
cord-342591-6joc2ld1	168	24	different	different	JJ
cord-342591-6joc2ld1	168	25	plans	plan	NNS
cord-342591-6joc2ld1	168	26	to	to	TO
cord-342591-6joc2ld1	168	27	limit	limit	VB
cord-342591-6joc2ld1	168	28	the	the	DT
cord-342591-6joc2ld1	168	29	diffusion	diffusion	NN
cord-342591-6joc2ld1	168	30	of	of	IN
cord-342591-6joc2ld1	168	31	this	this	DT
cord-342591-6joc2ld1	168	32	epidemic	epidemic	NN
cord-342591-6joc2ld1	168	33	with	with	IN
cord-342591-6joc2ld1	168	34	different	different	JJ
cord-342591-6joc2ld1	168	35	values	value	NNS
cord-342591-6joc2ld1	168	36	of	of	IN
cord-342591-6joc2ld1	168	37	the	the	DT
cord-342591-6joc2ld1	168	38	fractional	fractional	JJ
cord-342591-6joc2ld1	168	39	order	order	NN
cord-342591-6joc2ld1	168	40	.	.	.
cord-342591-6joc2ld1	169	1	Our	-PRON-	PRP$
cord-342591-6joc2ld1	169	2	results	result	NNS
cord-342591-6joc2ld1	169	3	confirm	confirm	VBP
cord-342591-6joc2ld1	169	4	the	the	DT
cord-342591-6joc2ld1	169	5	importance	importance	NN
cord-342591-6joc2ld1	169	6	of	of	IN
cord-342591-6joc2ld1	169	7	decreasing	decrease	VBG
cord-342591-6joc2ld1	169	8	the	the	DT
cord-342591-6joc2ld1	169	9	infection	infection	NN
cord-342591-6joc2ld1	169	10	rates	rate	NNS
cord-342591-6joc2ld1	169	11	.	.	.
cord-342591-6joc2ld1	170	1	Decreasing	decrease	VBG
cord-342591-6joc2ld1	170	2	the	the	DT
cord-342591-6joc2ld1	170	3	infection	infection	NN
cord-342591-6joc2ld1	170	4	rates	rate	NNS
cord-342591-6joc2ld1	170	5	include	include	VBP
cord-342591-6joc2ld1	170	6	taking	take	VBG
cord-342591-6joc2ld1	170	7	various	various	JJ
cord-342591-6joc2ld1	170	8	actions	action	NNS
cord-342591-6joc2ld1	170	9	like	like	IN
cord-342591-6joc2ld1	170	10	insure	insure	VB
cord-342591-6joc2ld1	170	11	the	the	DT
cord-342591-6joc2ld1	170	12	social	social	JJ
cord-342591-6joc2ld1	170	13	distance	distance	NN
cord-342591-6joc2ld1	170	14	,	,	,
cord-342591-6joc2ld1	170	15	closing	close	VBG
cord-342591-6joc2ld1	170	16	the	the	DT
cord-342591-6joc2ld1	170	17	airports	airport	NNS
cord-342591-6joc2ld1	170	18	,	,	,
cord-342591-6joc2ld1	170	19	closing	close	VBG
cord-342591-6joc2ld1	170	20	all	all	DT
cord-342591-6joc2ld1	170	21	teaching	teaching	NN
cord-342591-6joc2ld1	170	22	authorities	authority	NNS
cord-342591-6joc2ld1	170	23	,	,	,
cord-342591-6joc2ld1	170	24	random	random	JJ
cord-342591-6joc2ld1	170	25	testing	test	VBG
cord-342591-6joc2ld1	170	26	the	the	DT
cord-342591-6joc2ld1	170	27	asymptomatic	asymptomatic	JJ
cord-342591-6joc2ld1	170	28	cases	case	NNS
cord-342591-6joc2ld1	170	29	and	and	CC
cord-342591-6joc2ld1	170	30	contact	contact	NN
cord-342591-6joc2ld1	170	31	tracing	tracing	NN
cord-342591-6joc2ld1	170	32	.	.	.
cord-342591-6joc2ld1	171	1	The	the	DT
cord-342591-6joc2ld1	171	2	author	author	NN
cord-342591-6joc2ld1	171	3	hope	hope	VBP
cord-342591-6joc2ld1	171	4	that	that	IN
cord-342591-6joc2ld1	171	5	the	the	DT
cord-342591-6joc2ld1	171	6	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	171	7	study	study	NN
cord-342591-6joc2ld1	171	8	using	use	VBG
cord-342591-6joc2ld1	171	9	the	the	DT
cord-342591-6joc2ld1	171	10	proposed	propose	VBN
cord-342591-6joc2ld1	171	11	model	model	NN
cord-342591-6joc2ld1	171	12	continues	continue	VBZ
cord-342591-6joc2ld1	171	13	.	.	.
cord-342591-6joc2ld1	172	1	And	and	CC
cord-342591-6joc2ld1	172	2	via	via	IN
cord-342591-6joc2ld1	172	3	utilizing	utilize	VBG
cord-342591-6joc2ld1	172	4	the	the	DT
cord-342591-6joc2ld1	172	5	real	real	JJ
cord-342591-6joc2ld1	172	6	data	datum	NNS
cord-342591-6joc2ld1	172	7	the	the	DT
cord-342591-6joc2ld1	172	8	optimum	optimum	JJ
cord-342591-6joc2ld1	172	9	fractional	fractional	JJ
cord-342591-6joc2ld1	172	10	order	order	NN
cord-342591-6joc2ld1	172	11	can	can	MD
cord-342591-6joc2ld1	172	12	be	be	VB
cord-342591-6joc2ld1	172	13	estimated	estimate	VBN
cord-342591-6joc2ld1	172	14	.	.	.
cord-342591-6joc2ld1	173	1	No	no	DT
cord-342591-6joc2ld1	173	2	competing	compete	VBG
cord-342591-6joc2ld1	173	3	of	of	IN
cord-342591-6joc2ld1	173	4	interest	interest	NN
cord-342591-6joc2ld1	173	5	.	.	.
cord-342591-6joc2ld1	174	1	This	this	DT
cord-342591-6joc2ld1	174	2	research	research	NN
cord-342591-6joc2ld1	174	3	did	do	VBD
cord-342591-6joc2ld1	174	4	not	not	RB
cord-342591-6joc2ld1	174	5	receive	receive	VB
cord-342591-6joc2ld1	174	6	any	any	DT
cord-342591-6joc2ld1	174	7	specific	specific	JJ
cord-342591-6joc2ld1	174	8	grant	grant	NN
cord-342591-6joc2ld1	174	9	from	from	IN
cord-342591-6joc2ld1	174	10	funding	fund	VBG
cord-342591-6joc2ld1	174	11	agencies	agency	NNS
cord-342591-6joc2ld1	174	12	in	in	IN
cord-342591-6joc2ld1	174	13	the	the	DT
cord-342591-6joc2ld1	174	14	public	public	NN
cord-342591-6joc2ld1	174	15	,	,	,
cord-342591-6joc2ld1	174	16	commercial	commercial	JJ
cord-342591-6joc2ld1	174	17	,	,	,
cord-342591-6joc2ld1	174	18	or	or	CC
cord-342591-6joc2ld1	174	19	not	not	RB
cord-342591-6joc2ld1	174	20	-	-	HYPH
cord-342591-6joc2ld1	174	21	for	for	IN
cord-342591-6joc2ld1	174	22	-	-	HYPH
cord-342591-6joc2ld1	174	23	profit	profit	NN
cord-342591-6joc2ld1	174	24	sectors	sector	NNS
cord-342591-6joc2ld1	174	25	.	.	.
cord-342591-6joc2ld1	174	26	 	 	_SP
cord-342591-6joc2ld1	175	1	The	the	DT
cord-342591-6joc2ld1	175	2	hopf	hopf	JJ
cord-342591-6joc2ld1	175	3	bifurcation	bifurcation	NN
cord-342591-6joc2ld1	175	4	analysis	analysis	NN
cord-342591-6joc2ld1	175	5	and	and	CC
cord-342591-6joc2ld1	175	6	optimal	optimal	JJ
cord-342591-6joc2ld1	175	7	Control	Control	NNP
cord-342591-6joc2ld1	175	8	of	of	IN
cord-342591-6joc2ld1	175	9	a	a	DT
cord-342591-6joc2ld1	175	10	delayed	delay	VBN
cord-342591-6joc2ld1	175	11	SIR	SIR	NNP
cord-342591-6joc2ld1	175	12	epidemic	epidemic	NN
cord-342591-6joc2ld1	175	13	model	model	NN
cord-342591-6joc2ld1	176	1	An	an	DT
cord-342591-6joc2ld1	176	2	optimal	optimal	JJ
cord-342591-6joc2ld1	176	3	Control	Control	NNP
cord-342591-6joc2ld1	176	4	problem	problem	NN
cord-342591-6joc2ld1	176	5	arising	arise	VBG
cord-342591-6joc2ld1	176	6	from	from	IN
cord-342591-6joc2ld1	176	7	a	a	DT
cord-342591-6joc2ld1	176	8	dengue	dengue	NN
cord-342591-6joc2ld1	176	9	disease	disease	NN
cord-342591-6joc2ld1	176	10	transmission	transmission	NN
cord-342591-6joc2ld1	176	11	model	model	NNP
cord-342591-6joc2ld1	176	12	Data	Data	NNP
cord-342591-6joc2ld1	176	13	-	-	HYPH
cord-342591-6joc2ld1	176	14	based	base	VBN
cord-342591-6joc2ld1	176	15	analysis	analysis	NN
cord-342591-6joc2ld1	176	16	,	,	,
cord-342591-6joc2ld1	176	17	modelling	modelling	NN
cord-342591-6joc2ld1	176	18	and	and	CC
cord-342591-6joc2ld1	176	19	forecasting	forecasting	NN
cord-342591-6joc2ld1	176	20	of	of	IN
cord-342591-6joc2ld1	176	21	the	the	DT
cord-342591-6joc2ld1	176	22	COVID-19	covid-19	JJ
cord-342591-6joc2ld1	176	23	outbreak	outbreak	NN
cord-342591-6joc2ld1	176	24	Infectious	Infectious	NNP
cord-342591-6joc2ld1	176	25	Diseases	Diseases	NNPS
cord-342591-6joc2ld1	176	26	of	of	IN
cord-342591-6joc2ld1	176	27	Humans	Humans	NNPS
cord-342591-6joc2ld1	176	28	Optimal	Optimal	NNP
cord-342591-6joc2ld1	176	29	control	control	NN
cord-342591-6joc2ld1	176	30	of	of	IN
cord-342591-6joc2ld1	176	31	a	a	DT
cord-342591-6joc2ld1	176	32	SIR	SIR	NNP
cord-342591-6joc2ld1	176	33	epidemic	epidemic	NN
cord-342591-6joc2ld1	176	34	model	model	NN
cord-342591-6joc2ld1	176	35	with	with	IN
cord-342591-6joc2ld1	176	36	general	general	JJ
cord-342591-6joc2ld1	176	37	incidence	incidence	NN
cord-342591-6joc2ld1	176	38	function	function	NN
cord-342591-6joc2ld1	176	39	and	and	CC
cord-342591-6joc2ld1	176	40	a	a	DT
cord-342591-6joc2ld1	176	41	time	time	NN
cord-342591-6joc2ld1	176	42	delays	delay	VBZ
cord-342591-6joc2ld1	176	43	Control	Control	NNP
cord-342591-6joc2ld1	176	44	of	of	IN
cord-342591-6joc2ld1	176	45	emerging	emerge	VBG
cord-342591-6joc2ld1	176	46	infectious	infectious	JJ
cord-342591-6joc2ld1	176	47	diseases	disease	NNS
cord-342591-6joc2ld1	176	48	using	use	VBG
cord-342591-6joc2ld1	176	49	responsive	responsive	JJ
cord-342591-6joc2ld1	176	50	imperfect	imperfect	JJ
cord-342591-6joc2ld1	176	51	vaccination	vaccination	NN
cord-342591-6joc2ld1	176	52	and	and	CC
cord-342591-6joc2ld1	176	53	isolation	isolation	NN
cord-342591-6joc2ld1	177	1	The	the	DT
cord-342591-6joc2ld1	177	2	use	use	NN
cord-342591-6joc2ld1	177	3	of	of	IN
cord-342591-6joc2ld1	177	4	epidemic	epidemic	NN
cord-342591-6joc2ld1	177	5	models	model	NNS
cord-342591-6joc2ld1	177	6	Can	Can	MD
cord-342591-6joc2ld1	177	7	the	the	DT
cord-342591-6joc2ld1	177	8	COVID-19	covid-19	JJ
cord-342591-6joc2ld1	177	9	epidemic	epidemic	NN
cord-342591-6joc2ld1	177	10	be	be	VB
cord-342591-6joc2ld1	177	11	managed	manage	VBN
cord-342591-6joc2ld1	177	12	on	on	IN
cord-342591-6joc2ld1	177	13	the	the	DT
cord-342591-6joc2ld1	177	14	basis	basis	NN
cord-342591-6joc2ld1	177	15	of	of	IN
cord-342591-6joc2ld1	177	16	daily	daily	JJ
cord-342591-6joc2ld1	177	17	data	datum	NNS
cord-342591-6joc2ld1	177	18	?	?	.
cord-342591-6joc2ld1	178	1	Optimal	Optimal	NNP
cord-342591-6joc2ld1	178	2	Control	Control	NNP
cord-342591-6joc2ld1	178	3	of	of	IN
cord-342591-6joc2ld1	178	4	an	an	DT
cord-342591-6joc2ld1	178	5	epidemic	epidemic	NN
cord-342591-6joc2ld1	178	6	through	through	IN
cord-342591-6joc2ld1	178	7	educational	educational	JJ
cord-342591-6joc2ld1	178	8	campaigns	campaign	NNS
cord-342591-6joc2ld1	178	9	Transmission	Transmission	NNP
cord-342591-6joc2ld1	178	10	model	model	NN
cord-342591-6joc2ld1	178	11	of	of	IN
cord-342591-6joc2ld1	178	12	endemic	endemic	JJ
cord-342591-6joc2ld1	178	13	human	human	JJ
cord-342591-6joc2ld1	178	14	malaria	malaria	NN
cord-342591-6joc2ld1	178	15	in	in	IN
cord-342591-6joc2ld1	178	16	a	a	DT
cord-342591-6joc2ld1	178	17	partially	partially	RB
cord-342591-6joc2ld1	178	18	immune	immune	JJ
cord-342591-6joc2ld1	178	19	population	population	NN
cord-342591-6joc2ld1	179	1	A	a	DT
cord-342591-6joc2ld1	179	2	multi	multi	JJ
cord-342591-6joc2ld1	179	3	-	-	JJ
cord-342591-6joc2ld1	179	4	group	group	JJ
cord-342591-6joc2ld1	179	5	SEIRA	SEIRA	NNP
cord-342591-6joc2ld1	179	6	model	model	NN
cord-342591-6joc2ld1	179	7	for	for	IN
cord-342591-6joc2ld1	179	8	the	the	DT
cord-342591-6joc2ld1	179	9	spread	spread	NN
cord-342591-6joc2ld1	179	10	of	of	IN
cord-342591-6joc2ld1	179	11	COVID-19	covid-19	CD
cord-342591-6joc2ld1	179	12	among	among	IN
cord-342591-6joc2ld1	179	13	heterogeneous	heterogeneous	JJ
cord-342591-6joc2ld1	179	14	populations	population	NNS
cord-342591-6joc2ld1	179	15	Matlab	Matlab	NNP
cord-342591-6joc2ld1	179	16	Code	Code	NNP
cord-342591-6joc2ld1	179	17	for	for	IN
cord-342591-6joc2ld1	179	18	Lyapunov	Lyapunov	NNP
cord-342591-6joc2ld1	179	19	Exponents	exponent	NNS
cord-342591-6joc2ld1	179	20	of	of	IN
cord-342591-6joc2ld1	179	21	Fractional	fractional	JJ
cord-342591-6joc2ld1	179	22	-	-	HYPH
cord-342591-6joc2ld1	179	23	Order	Order	NNP
cord-342591-6joc2ld1	179	24	Systems	Systems	NNP
cord-342591-6joc2ld1	179	25	Mathematical	mathematical	JJ
cord-342591-6joc2ld1	179	26	Epidemiology	epidemiology	NN
cord-342591-6joc2ld1	179	27	of	of	IN
cord-342591-6joc2ld1	179	28	Infectious	Infectious	NNP
cord-342591-6joc2ld1	179	29	Diseases	Diseases	NNPS
cord-342591-6joc2ld1	179	30	:	:	:
cord-342591-6joc2ld1	179	31	Model	Model	NNP
cord-342591-6joc2ld1	179	32	Building	Building	NNP
cord-342591-6joc2ld1	180	1	The	the	DT
cord-342591-6joc2ld1	180	2	FracPECE	FracPECE	NNP
cord-342591-6joc2ld1	180	3	subroutine	subroutine	NN
cord-342591-6joc2ld1	180	4	for	for	IN
cord-342591-6joc2ld1	180	5	the	the	DT
cord-342591-6joc2ld1	180	6	numerical	numerical	JJ
cord-342591-6joc2ld1	180	7	solution	solution	NN
cord-342591-6joc2ld1	180	8	of	of	IN
cord-342591-6joc2ld1	180	9	differential	differential	JJ
cord-342591-6joc2ld1	180	10	equations	equation	NNS
cord-342591-6joc2ld1	180	11	of	of	IN
cord-342591-6joc2ld1	180	12	fractional	fractional	JJ
cord-342591-6joc2ld1	180	13	order	order	NN
cord-342591-6joc2ld1	181	1	The	the	DT
cord-342591-6joc2ld1	181	2	first	first	JJ
cord-342591-6joc2ld1	181	3	epidemic	epidemic	NN
cord-342591-6joc2ld1	181	4	model	model	NN
cord-342591-6joc2ld1	181	5	:	:	:
cord-342591-6joc2ld1	181	6	a	a	DT
cord-342591-6joc2ld1	181	7	historical	historical	JJ
cord-342591-6joc2ld1	181	8	note	note	NN
cord-342591-6joc2ld1	181	9	on	on	IN
cord-342591-6joc2ld1	181	10	P.D.	P.D.	NNP
cord-342591-6joc2ld1	181	11	En'ko	En'ko	NNP
cord-342591-6joc2ld1	181	12	Modeling	Modeling	NNP
cord-342591-6joc2ld1	181	13	and	and	CC
cord-342591-6joc2ld1	181	14	analysis	analysis	NN
cord-342591-6joc2ld1	181	15	of	of	IN
cord-342591-6joc2ld1	181	16	the	the	DT
cord-342591-6joc2ld1	181	17	polluted	polluted	JJ
cord-342591-6joc2ld1	181	18	lakes	lake	NNS
cord-342591-6joc2ld1	181	19	system	system	NN
cord-342591-6joc2ld1	181	20	with	with	IN
cord-342591-6joc2ld1	181	21	various	various	JJ
cord-342591-6joc2ld1	181	22	fractional	fractional	JJ
cord-342591-6joc2ld1	181	23	approaches	approach	NNS
cord-342591-6joc2ld1	181	24	The	the	DT
cord-342591-6joc2ld1	181	25	fractional	fractional	JJ
cord-342591-6joc2ld1	181	26	SIRC	SIRC	NNP
cord-342591-6joc2ld1	181	27	model	model	NN
cord-342591-6joc2ld1	181	28	and	and	CC
cord-342591-6joc2ld1	181	29	influenza	influenza	NN
cord-342591-6joc2ld1	181	30	A	a	NN
cord-342591-6joc2ld1	182	1	On	on	IN
cord-342591-6joc2ld1	182	2	linear	linear	JJ
cord-342591-6joc2ld1	182	3	stability	stability	NN
cord-342591-6joc2ld1	182	4	of	of	IN
cord-342591-6joc2ld1	182	5	predictor	predictor	NN
cord-342591-6joc2ld1	182	6	-	-	HYPH
cord-342591-6joc2ld1	182	7	corrector	corrector	NN
cord-342591-6joc2ld1	182	8	algorithms	algorithm	NNS
cord-342591-6joc2ld1	182	9	for	for	IN
cord-342591-6joc2ld1	182	10	fractional	fractional	JJ
cord-342591-6joc2ld1	182	11	differential	differential	JJ
cord-342591-6joc2ld1	182	12	equations	equation	NNS
cord-342591-6joc2ld1	182	13	Optimal	Optimal	NNP
cord-342591-6joc2ld1	182	14	control	control	NN
cord-342591-6joc2ld1	182	15	applied	apply	VBD
cord-342591-6joc2ld1	182	16	to	to	IN
cord-342591-6joc2ld1	182	17	vaccination	vaccination	NN
cord-342591-6joc2ld1	182	18	and	and	CC
cord-342591-6joc2ld1	182	19	treatment	treatment	NN
cord-342591-6joc2ld1	182	20	strategies	strategy	NNS
cord-342591-6joc2ld1	182	21	for	for	IN
cord-342591-6joc2ld1	182	22	various	various	JJ
cord-342591-6joc2ld1	182	23	epidemiological	epidemiological	JJ
cord-342591-6joc2ld1	182	24	models	model	NNS
cord-342591-6joc2ld1	182	25	Modelling	model	VBG
cord-342591-6joc2ld1	182	26	the	the	DT
cord-342591-6joc2ld1	182	27	COVID-19	covid-19	JJ
cord-342591-6joc2ld1	182	28	epidemic	epidemic	NN
cord-342591-6joc2ld1	182	29	and	and	CC
cord-342591-6joc2ld1	182	30	implementation	implementation	NN
cord-342591-6joc2ld1	182	31	of	of	IN
cord-342591-6joc2ld1	182	32	population	population	NN
cord-342591-6joc2ld1	182	33	-	-	HYPH
cord-342591-6joc2ld1	182	34	wide	wide	JJ
cord-342591-6joc2ld1	182	35	interventions	intervention	NNS
cord-342591-6joc2ld1	182	36	in	in	IN
cord-342591-6joc2ld1	182	37	Italy	Italy	NNP
cord-342591-6joc2ld1	182	38	Clinical	clinical	JJ
cord-342591-6joc2ld1	182	39	characteristics	characteristic	NNS
cord-342591-6joc2ld1	182	40	of	of	IN
cord-342591-6joc2ld1	182	41	coronavirus	coronavirus	NN
cord-342591-6joc2ld1	182	42	disease	disease	NN
cord-342591-6joc2ld1	182	43	2019	2019	CD
cord-342591-6joc2ld1	182	44	in	in	IN
cord-342591-6joc2ld1	182	45	China	China	NNP
cord-342591-6joc2ld1	182	46	Modelling	Modelling	NNP
cord-342591-6joc2ld1	182	47	strategies	strategy	NNS
cord-342591-6joc2ld1	182	48	for	for	IN
cord-342591-6joc2ld1	182	49	controlling	control	VBG
cord-342591-6joc2ld1	182	50	SARS	SARS	NNP
cord-342591-6joc2ld1	182	51	outbreaks	outbreak	NNS
cord-342591-6joc2ld1	182	52	Optimal	Optimal	NNP
cord-342591-6joc2ld1	182	53	Control	Control	NNP
cord-342591-6joc2ld1	182	54	of	of	IN
cord-342591-6joc2ld1	182	55	a	a	DT
cord-342591-6joc2ld1	182	56	delayed	delay	VBN
cord-342591-6joc2ld1	182	57	HIV	HIV	NNP
cord-342591-6joc2ld1	182	58	infection	infection	NN
cord-342591-6joc2ld1	182	59	model	model	NN
cord-342591-6joc2ld1	182	60	with	with	IN
cord-342591-6joc2ld1	182	61	immune	immune	JJ
cord-342591-6joc2ld1	182	62	response	response	NN
cord-342591-6joc2ld1	182	63	using	use	VBG
cord-342591-6joc2ld1	182	64	an	an	DT
cord-342591-6joc2ld1	182	65	efficient	efficient	JJ
cord-342591-6joc2ld1	182	66	numerical	numerical	JJ
cord-342591-6joc2ld1	182	67	method	method	NN
cord-342591-6joc2ld1	182	68	Feasibility	feasibility	NN
cord-342591-6joc2ld1	182	69	of	of	IN
cord-342591-6joc2ld1	182	70	controlling	control	VBG
cord-342591-6joc2ld1	182	71	COVID-19	covid-19	CD
cord-342591-6joc2ld1	182	72	outbreaks	outbreak	NNS
cord-342591-6joc2ld1	182	73	by	by	IN
cord-342591-6joc2ld1	182	74	isolation	isolation	NN
cord-342591-6joc2ld1	182	75	of	of	IN
cord-342591-6joc2ld1	182	76	cases	case	NNS
cord-342591-6joc2ld1	182	77	and	and	CC
cord-342591-6joc2ld1	182	78	contacts	contact	NNS
cord-342591-6joc2ld1	183	1	The	the	DT
cord-342591-6joc2ld1	183	2	mathematics	mathematic	NNS
cord-342591-6joc2ld1	183	3	of	of	IN
cord-342591-6joc2ld1	183	4	infectious	infectious	JJ
cord-342591-6joc2ld1	183	5	diseases	disease	NNS
cord-342591-6joc2ld1	183	6	&	&	CC
cord-342591-6joc2ld1	184	1	Driessche	Driessche	NNP
cord-342591-6joc2ld1	184	2	P.	P.	NNP
cord-342591-6joc2ld1	184	3	Some	some	DT
cord-342591-6joc2ld1	184	4	epidemiological	epidemiological	JJ
cord-342591-6joc2ld1	184	5	models	model	NNS
cord-342591-6joc2ld1	184	6	with	with	IN
cord-342591-6joc2ld1	184	7	nonlinear	nonlinear	JJ
cord-342591-6joc2ld1	184	8	incidence	incidence	NN
cord-342591-6joc2ld1	185	1	The	the	DT
cord-342591-6joc2ld1	185	2	mathematics	mathematic	NNS
cord-342591-6joc2ld1	185	3	of	of	IN
cord-342591-6joc2ld1	185	4	infectious	infectious	JJ
cord-342591-6joc2ld1	186	1	On	on	IN
cord-342591-6joc2ld1	186	2	the	the	DT
cord-342591-6joc2ld1	186	3	dynamics	dynamic	NNS
cord-342591-6joc2ld1	186	4	of	of	IN
cord-342591-6joc2ld1	186	5	a	a	DT
cord-342591-6joc2ld1	186	6	delayed	delay	VBN
cord-342591-6joc2ld1	186	7	SIR	SIR	NNP
cord-342591-6joc2ld1	186	8	epidemic	epidemic	NN
cord-342591-6joc2ld1	186	9	model	model	NN
cord-342591-6joc2ld1	186	10	with	with	IN
cord-342591-6joc2ld1	186	11	a	a	DT
cord-342591-6joc2ld1	186	12	modified	modify	VBN
cord-342591-6joc2ld1	186	13	saturated	saturated	JJ
cord-342591-6joc2ld1	186	14	incidence	incidence	NN
cord-342591-6joc2ld1	186	15	rate	rate	NN
cord-342591-6joc2ld1	186	16	.	.	.
cord-342591-6joc2ld1	187	1	Electron	Electron	NNP
cord-342591-6joc2ld1	187	2	Abdel	Abdel	NNP
cord-342591-6joc2ld1	187	3	Moniem	Moniem	NNP
cord-342591-6joc2ld1	187	4	N.	N.	NNP
cord-342591-6joc2ld1	187	5	K.	K.	NNP
cord-342591-6joc2ld1	187	6	Numerical	numerical	JJ
cord-342591-6joc2ld1	187	7	simulation	simulation	NN
cord-342591-6joc2ld1	187	8	for	for	IN
cord-342591-6joc2ld1	187	9	the	the	DT
cord-342591-6joc2ld1	187	10	fractional	fractional	JJ
cord-342591-6joc2ld1	187	11	SIRC	SIRC	NNP
cord-342591-6joc2ld1	187	12	model	model	NN
cord-342591-6joc2ld1	187	13	and	and	CC
cord-342591-6joc2ld1	187	14	Influenza	Influenza	NNP
cord-342591-6joc2ld1	187	15	A	A	NNP
cord-342591-6joc2ld1	188	1	Modeling	model	VBG
cord-342591-6joc2ld1	188	2	the	the	DT
cord-342591-6joc2ld1	188	3	dynamics	dynamic	NNS
cord-342591-6joc2ld1	188	4	of	of	IN
cord-342591-6joc2ld1	188	5	novel	novel	JJ
cord-342591-6joc2ld1	188	6	coronavirus	coronavirus	NN
cord-342591-6joc2ld1	188	7	(	(	-LRB-
cord-342591-6joc2ld1	188	8	2019-nCov	2019-ncov	CD
cord-342591-6joc2ld1	188	9	)	)	-RRB-
cord-342591-6joc2ld1	188	10	with	with	IN
cord-342591-6joc2ld1	188	11	fractional	fractional	JJ
cord-342591-6joc2ld1	188	12	derivative	derivative	JJ
cord-342591-6joc2ld1	188	13	Fractional	fractional	JJ
cord-342591-6joc2ld1	188	14	order	order	NN
cord-342591-6joc2ld1	188	15	SIR	SIR	NNP
cord-342591-6joc2ld1	188	16	model	model	NN
cord-342591-6joc2ld1	188	17	with	with	IN
cord-342591-6joc2ld1	188	18	generalized	generalized	JJ
cord-342591-6joc2ld1	188	19	incidence	incidence	NN
cord-342591-6joc2ld1	188	20	rate	rate	NN
cord-342591-6joc2ld1	188	21	A	a	DT
cord-342591-6joc2ld1	188	22	contribution	contribution	NN
cord-342591-6joc2ld1	188	23	to	to	IN
cord-342591-6joc2ld1	188	24	the	the	DT
cord-342591-6joc2ld1	188	25	mathematical	mathematical	JJ
cord-342591-6joc2ld1	188	26	theory	theory	NN
cord-342591-6joc2ld1	188	27	of	of	IN
cord-342591-6joc2ld1	188	28	epidemics	epidemic	NNS
cord-342591-6joc2ld1	188	29	Early	early	JJ
cord-342591-6joc2ld1	188	30	dynamics	dynamic	NNS
cord-342591-6joc2ld1	188	31	of	of	IN
cord-342591-6joc2ld1	188	32	transmission	transmission	NN
cord-342591-6joc2ld1	188	33	and	and	CC
cord-342591-6joc2ld1	188	34	control	control	NN
cord-342591-6joc2ld1	188	35	of	of	IN
cord-342591-6joc2ld1	188	36	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	188	37	:	:	:
cord-342591-6joc2ld1	188	38	a	a	DT
cord-342591-6joc2ld1	188	39	mathematical	mathematical	JJ
cord-342591-6joc2ld1	188	40	modelling	modelling	NN
cord-342591-6joc2ld1	188	41	study	study	NN
cord-342591-6joc2ld1	188	42	Invariance	Invariance	NNP
cord-342591-6joc2ld1	188	43	of	of	IN
cord-342591-6joc2ld1	188	44	Lyapunov	Lyapunov	NNP
cord-342591-6joc2ld1	188	45	exponents	exponent	NNS
cord-342591-6joc2ld1	188	46	and	and	CC
cord-342591-6joc2ld1	188	47	Lyapunov	lyapunov	JJ
cord-342591-6joc2ld1	188	48	dimension	dimension	NN
cord-342591-6joc2ld1	188	49	for	for	IN
cord-342591-6joc2ld1	188	50	regular	regular	JJ
cord-342591-6joc2ld1	188	51	and	and	CC
cord-342591-6joc2ld1	188	52	irregular	irregular	JJ
cord-342591-6joc2ld1	188	53	linearizations	linearization	NNS
cord-342591-6joc2ld1	188	54	Finite	finite	JJ
cord-342591-6joc2ld1	188	55	-	-	HYPH
cord-342591-6joc2ld1	188	56	time	time	NN
cord-342591-6joc2ld1	188	57	Lyapunov	lyapunov	JJ
cord-342591-6joc2ld1	188	58	dimension	dimension	NN
cord-342591-6joc2ld1	188	59	and	and	CC
cord-342591-6joc2ld1	188	60	hidden	hidden	JJ
cord-342591-6joc2ld1	188	61	attractor	attractor	NN
cord-342591-6joc2ld1	188	62	of	of	IN
cord-342591-6joc2ld1	188	63	the	the	DT
cord-342591-6joc2ld1	188	64	Rabinovich	Rabinovich	NNP
cord-342591-6joc2ld1	188	65	system	system	NN
cord-342591-6joc2ld1	188	66	Optimal	Optimal	NNP
cord-342591-6joc2ld1	188	67	Control	Control	NNP
cord-342591-6joc2ld1	188	68	of	of	IN
cord-342591-6joc2ld1	188	69	a	a	DT
cord-342591-6joc2ld1	188	70	delayed	delay	VBN
cord-342591-6joc2ld1	188	71	SIRS	SIRS	NNP
cord-342591-6joc2ld1	188	72	epidemic	epidemic	NN
cord-342591-6joc2ld1	188	73	model	model	NN
cord-342591-6joc2ld1	188	74	with	with	IN
cord-342591-6joc2ld1	188	75	vaccination	vaccination	NN
cord-342591-6joc2ld1	188	76	and	and	CC
cord-342591-6joc2ld1	188	77	treatment	treatment	NN
cord-342591-6joc2ld1	188	78	A	a	DT
cord-342591-6joc2ld1	188	79	conceptual	conceptual	JJ
cord-342591-6joc2ld1	188	80	model	model	NN
cord-342591-6joc2ld1	188	81	for	for	IN
cord-342591-6joc2ld1	188	82	the	the	DT
cord-342591-6joc2ld1	188	83	coronavirus	coronavirus	NN
cord-342591-6joc2ld1	188	84	disease	disease	NN
cord-342591-6joc2ld1	188	85	2019	2019	CD
cord-342591-6joc2ld1	188	86	(	(	-LRB-
cord-342591-6joc2ld1	188	87	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	188	88	)	)	-RRB-
cord-342591-6joc2ld1	188	89	outbreak	outbreak	NN
cord-342591-6joc2ld1	188	90	in	in	IN
cord-342591-6joc2ld1	188	91	Wuhan	Wuhan	NNP
cord-342591-6joc2ld1	188	92	,	,	,
cord-342591-6joc2ld1	188	93	China	China	NNP
cord-342591-6joc2ld1	188	94	with	with	IN
cord-342591-6joc2ld1	188	95	individual	individual	JJ
cord-342591-6joc2ld1	188	96	reaction	reaction	NN
cord-342591-6joc2ld1	188	97	and	and	CC
cord-342591-6joc2ld1	188	98	governmental	governmental	JJ
cord-342591-6joc2ld1	188	99	action	action	NN
cord-342591-6joc2ld1	188	100	Approximate	approximate	JJ
cord-342591-6joc2ld1	188	101	solutions	solution	NNS
cord-342591-6joc2ld1	188	102	for	for	IN
cord-342591-6joc2ld1	188	103	solving	solve	VBG
cord-342591-6joc2ld1	188	104	nonlinear	nonlinear	JJ
cord-342591-6joc2ld1	188	105	fractional	fractional	JJ
cord-342591-6joc2ld1	188	106	order	order	NN
cord-342591-6joc2ld1	188	107	smoking	smoking	NN
cord-342591-6joc2ld1	188	108	model	model	NN
cord-342591-6joc2ld1	189	1	A	a	DT
cord-342591-6joc2ld1	189	2	filippov	filippov	NN
cord-342591-6joc2ld1	189	3	-	-	HYPH
cord-342591-6joc2ld1	189	4	type	type	NN
cord-342591-6joc2ld1	189	5	lemma	lemma	NN
cord-342591-6joc2ld1	189	6	for	for	IN
cord-342591-6joc2ld1	189	7	functions	function	NNS
cord-342591-6joc2ld1	189	8	involving	involve	VBG
cord-342591-6joc2ld1	189	9	delays	delay	NNS
cord-342591-6joc2ld1	189	10	and	and	CC
cord-342591-6joc2ld1	189	11	its	-PRON-	PRP$
cord-342591-6joc2ld1	189	12	application	application	NN
cord-342591-6joc2ld1	189	13	to	to	IN
cord-342591-6joc2ld1	189	14	time	time	NN
cord-342591-6joc2ld1	189	15	-	-	HYPH
cord-342591-6joc2ld1	189	16	delayed	delay	VBN
cord-342591-6joc2ld1	189	17	optimal	optimal	JJ
cord-342591-6joc2ld1	189	18	control	control	NN
cord-342591-6joc2ld1	189	19	problems	problem	NNS
cord-342591-6joc2ld1	189	20	SIR	SIR	NNP
cord-342591-6joc2ld1	189	21	epidemic	epidemic	NN
cord-342591-6joc2ld1	189	22	model	model	NN
cord-342591-6joc2ld1	189	23	with	with	IN
cord-342591-6joc2ld1	189	24	Mittag	Mittag	NNP
cord-342591-6joc2ld1	189	25	-	-	HYPH
cord-342591-6joc2ld1	189	26	Leffler	Leffler	NNP
cord-342591-6joc2ld1	189	27	fractional	fractional	JJ
cord-342591-6joc2ld1	189	28	derivative	derivative	JJ
cord-342591-6joc2ld1	189	29	Second	second	JJ
cord-342591-6joc2ld1	189	30	-	-	HYPH
cord-342591-6joc2ld1	189	31	grade	grade	NN
cord-342591-6joc2ld1	189	32	fluid	fluid	NN
cord-342591-6joc2ld1	189	33	model	model	NN
cord-342591-6joc2ld1	189	34	with	with	IN
cord-342591-6joc2ld1	189	35	Caputo	Caputo	NNP
cord-342591-6joc2ld1	189	36	-	-	HYPH
cord-342591-6joc2ld1	189	37	Liouville	Liouville	NNP
cord-342591-6joc2ld1	189	38	generalized	generalize	VBD
cord-342591-6joc2ld1	189	39	fractional	fractional	JJ
cord-342591-6joc2ld1	189	40	derivative	derivative	JJ
cord-342591-6joc2ld1	189	41	Fractional	fractional	JJ
cord-342591-6joc2ld1	189	42	diffusion	diffusion	NN
cord-342591-6joc2ld1	189	43	equation	equation	NN
cord-342591-6joc2ld1	189	44	with	with	IN
cord-342591-6joc2ld1	189	45	new	new	JJ
cord-342591-6joc2ld1	189	46	fractional	fractional	JJ
cord-342591-6joc2ld1	189	47	operator	operator	NN
cord-342591-6joc2ld1	189	48	Optimal	Optimal	NNP
cord-342591-6joc2ld1	189	49	control	control	NN
cord-342591-6joc2ld1	189	50	for	for	IN
cord-342591-6joc2ld1	189	51	a	a	DT
cord-342591-6joc2ld1	189	52	nonlinear	nonlinear	JJ
cord-342591-6joc2ld1	189	53	Mathematical	mathematical	JJ
cord-342591-6joc2ld1	189	54	model	model	NN
cord-342591-6joc2ld1	189	55	of	of	IN
cord-342591-6joc2ld1	189	56	tumor	tumor	NN
cord-342591-6joc2ld1	189	57	under	under	IN
cord-342591-6joc2ld1	189	58	immune	immune	JJ
cord-342591-6joc2ld1	189	59	suppression	suppression	NN
cord-342591-6joc2ld1	189	60	a	a	DT
cord-342591-6joc2ld1	189	61	numerical	numerical	JJ
cord-342591-6joc2ld1	189	62	approach	approach	NN
cord-342591-6joc2ld1	190	1	Optimal	optimal	JJ
cord-342591-6joc2ld1	190	2	control	control	NN
cord-342591-6joc2ld1	190	3	for	for	IN
cord-342591-6joc2ld1	190	4	a	a	DT
cord-342591-6joc2ld1	190	5	fractional	fractional	JJ
cord-342591-6joc2ld1	190	6	tuberculosis	tuberculosis	NN
cord-342591-6joc2ld1	190	7	infection	infection	NN
cord-342591-6joc2ld1	190	8	model	model	NN
cord-342591-6joc2ld1	190	9	including	include	VBG
cord-342591-6joc2ld1	190	10	the	the	DT
cord-342591-6joc2ld1	190	11	impact	impact	NN
cord-342591-6joc2ld1	190	12	of	of	IN
cord-342591-6joc2ld1	190	13	diabetes	diabetes	NN
cord-342591-6joc2ld1	190	14	and	and	CC
cord-342591-6joc2ld1	190	15	resistant	resistant	JJ
cord-342591-6joc2ld1	190	16	strains	strain	NNS
cord-342591-6joc2ld1	191	1	Fractional	fractional	JJ
cord-342591-6joc2ld1	191	2	optimal	optimal	JJ
cord-342591-6joc2ld1	191	3	control	control	NN
cord-342591-6joc2ld1	191	4	in	in	IN
cord-342591-6joc2ld1	191	5	transmission	transmission	NN
cord-342591-6joc2ld1	191	6	dynamics	dynamic	NNS
cord-342591-6joc2ld1	191	7	of	of	IN
cord-342591-6joc2ld1	191	8	West	West	NNP
cord-342591-6joc2ld1	191	9	Nile	Nile	NNP
cord-342591-6joc2ld1	191	10	model	model	NN
cord-342591-6joc2ld1	191	11	with	with	IN
cord-342591-6joc2ld1	191	12	state	state	NN
cord-342591-6joc2ld1	191	13	and	and	CC
cord-342591-6joc2ld1	191	14	control	control	NN
cord-342591-6joc2ld1	191	15	time	time	NN
cord-342591-6joc2ld1	191	16	delay	delay	VB
cord-342591-6joc2ld1	191	17	a	a	DT
cord-342591-6joc2ld1	191	18	numerical	numerical	JJ
cord-342591-6joc2ld1	191	19	approach	approach	NN
cord-342591-6joc2ld1	192	1	Numerical	numerical	JJ
cord-342591-6joc2ld1	192	2	treatments	treatment	NNS
cord-342591-6joc2ld1	192	3	of	of	IN
cord-342591-6joc2ld1	192	4	the	the	DT
cord-342591-6joc2ld1	192	5	tranmission	tranmission	NN
cord-342591-6joc2ld1	192	6	dynamics	dynamic	NNS
cord-342591-6joc2ld1	192	7	of	of	IN
cord-342591-6joc2ld1	192	8	West	West	NNP
cord-342591-6joc2ld1	192	9	Nile	Nile	NNP
cord-342591-6joc2ld1	192	10	virus	virus	NN
cord-342591-6joc2ld1	193	1	and	and	CC
cord-342591-6joc2ld1	193	2	it	-PRON-	PRP
cord-342591-6joc2ld1	193	3	's	be	VBZ
cord-342591-6joc2ld1	193	4	optimal	optimal	JJ
cord-342591-6joc2ld1	193	5	control	control	NN
cord-342591-6joc2ld1	193	6	Vaccination	vaccination	NN
cord-342591-6joc2ld1	193	7	strategies	strategy	NNS
cord-342591-6joc2ld1	193	8	for	for	IN
cord-342591-6joc2ld1	193	9	epidemics	epidemic	NNS
cord-342591-6joc2ld1	193	10	in	in	IN
cord-342591-6joc2ld1	193	11	highly	highly	RB
cord-342591-6joc2ld1	193	12	mobile	mobile	JJ
cord-342591-6joc2ld1	193	13	populations	population	NNS
cord-342591-6joc2ld1	194	1	Fractional	fractional	JJ
cord-342591-6joc2ld1	194	2	Differential	Differential	NNP
cord-342591-6joc2ld1	194	3	Equations	Equations	NNPS
cord-342591-6joc2ld1	194	4	On	on	IN
cord-342591-6joc2ld1	194	5	the	the	DT
cord-342591-6joc2ld1	194	6	delayed	delay	VBN
cord-342591-6joc2ld1	194	7	ross	ross	NNP
cord-342591-6joc2ld1	194	8	-	-	HYPH
cord-342591-6joc2ld1	194	9	macdonald	macdonald	NNP
cord-342591-6joc2ld1	194	10	model	model	NN
cord-342591-6joc2ld1	194	11	for	for	IN
cord-342591-6joc2ld1	194	12	malaria	malaria	NN
cord-342591-6joc2ld1	194	13	transmission	transmission	NN
cord-342591-6joc2ld1	194	14	Optimal	Optimal	NNP
cord-342591-6joc2ld1	194	15	Control	Control	NNP
cord-342591-6joc2ld1	194	16	strategies	strategy	NNS
cord-342591-6joc2ld1	194	17	for	for	IN
cord-342591-6joc2ld1	194	18	tuberculosis	tuberculosis	NN
cord-342591-6joc2ld1	194	19	treatment	treatment	NN
cord-342591-6joc2ld1	194	20	:	:	:
cord-342591-6joc2ld1	194	21	a	a	DT
cord-342591-6joc2ld1	194	22	case	case	NN
cord-342591-6joc2ld1	194	23	study	study	NN
cord-342591-6joc2ld1	194	24	in	in	IN
cord-342591-6joc2ld1	194	25	angola	angola	NNP
cord-342591-6joc2ld1	195	1	The	the	DT
cord-342591-6joc2ld1	195	2	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	195	3	epidemic	epidemic	NN
cord-342591-6joc2ld1	195	4	Analysis	Analysis	NNP
cord-342591-6joc2ld1	195	5	and	and	CC
cord-342591-6joc2ld1	195	6	numerical	numerical	JJ
cord-342591-6joc2ld1	195	7	simulation	simulation	NN
cord-342591-6joc2ld1	195	8	of	of	IN
cord-342591-6joc2ld1	195	9	fractional	fractional	JJ
cord-342591-6joc2ld1	195	10	model	model	NN
cord-342591-6joc2ld1	195	11	of	of	IN
cord-342591-6joc2ld1	195	12	bank	bank	NN
cord-342591-6joc2ld1	195	13	data	datum	NNS
cord-342591-6joc2ld1	195	14	with	with	IN
cord-342591-6joc2ld1	195	15	fractal	fractal	JJ
cord-342591-6joc2ld1	195	16	-	-	HYPH
cord-342591-6joc2ld1	195	17	fractional	fractional	JJ
cord-342591-6joc2ld1	195	18	Atangana	Atangana	NNP
cord-342591-6joc2ld1	195	19	-	-	HYPH
cord-342591-6joc2ld1	195	20	Baleanu	Baleanu	NNP
cord-342591-6joc2ld1	195	21	derivative	derivative	NN
cord-342591-6joc2ld1	196	1	Determining	determine	VBG
cord-342591-6joc2ld1	196	2	lyapunov	lyapunov	NN
cord-342591-6joc2ld1	196	3	exponents	exponent	NNS
cord-342591-6joc2ld1	196	4	from	from	IN
cord-342591-6joc2ld1	196	5	a	a	DT
cord-342591-6joc2ld1	196	6	time	time	NN
cord-342591-6joc2ld1	196	7	series	series	NN
cord-342591-6joc2ld1	197	1	Estimating	estimate	VBG
cord-342591-6joc2ld1	197	2	clinical	clinical	JJ
cord-342591-6joc2ld1	197	3	severity	severity	NN
cord-342591-6joc2ld1	197	4	of	of	IN
cord-342591-6joc2ld1	197	5	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	197	6	from	from	IN
cord-342591-6joc2ld1	197	7	the	the	DT
cord-342591-6joc2ld1	197	8	transmission	transmission	NN
cord-342591-6joc2ld1	197	9	dynamics	dynamic	NNS
cord-342591-6joc2ld1	197	10	in	in	IN
cord-342591-6joc2ld1	197	11	Wuhan	Wuhan	NNP
cord-342591-6joc2ld1	197	12	,	,	,
cord-342591-6joc2ld1	197	13	China	China	NNP
cord-342591-6joc2ld1	197	14	Characteristics	Characteristics	NNPS
cord-342591-6joc2ld1	197	15	of	of	IN
cord-342591-6joc2ld1	197	16	and	and	CC
cord-342591-6joc2ld1	197	17	important	important	JJ
cord-342591-6joc2ld1	197	18	lessons	lesson	NNS
cord-342591-6joc2ld1	197	19	from	from	IN
cord-342591-6joc2ld1	197	20	the	the	DT
cord-342591-6joc2ld1	197	21	coronavirus	coronavirus	NN
cord-342591-6joc2ld1	197	22	disease	disease	NN
cord-342591-6joc2ld1	197	23	2019	2019	CD
cord-342591-6joc2ld1	197	24	(	(	-LRB-
cord-342591-6joc2ld1	197	25	COVID-19	COVID-19	NNP
cord-342591-6joc2ld1	197	26	)	)	-RRB-
cord-342591-6joc2ld1	197	27	outbreak	outbreak	NN
cord-342591-6joc2ld1	197	28	in	in	IN
cord-342591-6joc2ld1	197	29	China	China	NNP
cord-342591-6joc2ld1	197	30	:	:	:
cord-342591-6joc2ld1	197	31	summary	summary	NN
cord-342591-6joc2ld1	197	32	of	of	IN
cord-342591-6joc2ld1	197	33	a	a	DT
cord-342591-6joc2ld1	197	34	report	report	NN
cord-342591-6joc2ld1	197	35	of	of	IN
cord-342591-6joc2ld1	197	36	72,314	72,314	CD
cord-342591-6joc2ld1	197	37	cases	case	NNS
cord-342591-6joc2ld1	197	38	from	from	IN
cord-342591-6joc2ld1	197	39	the	the	DT
cord-342591-6joc2ld1	197	40	Chinese	chinese	JJ
cord-342591-6joc2ld1	197	41	center	center	NN
cord-342591-6joc2ld1	197	42	for	for	IN
cord-342591-6joc2ld1	197	43	disease	disease	NNP
cord-342591-6joc2ld1	197	44	control	control	NN
cord-342591-6joc2ld1	197	45	and	and	CC
cord-342591-6joc2ld1	197	46	prevention	prevention	NN
cord-342591-6joc2ld1	197	47	Optimal	Optimal	NNP
cord-342591-6joc2ld1	197	48	treatment	treatment	NN
cord-342591-6joc2ld1	197	49	of	of	IN
cord-342591-6joc2ld1	197	50	an	an	DT
cord-342591-6joc2ld1	197	51	SIR	SIR	NNP
cord-342591-6joc2ld1	197	52	epidemic	epidemic	NN
cord-342591-6joc2ld1	197	53	model	model	NN
cord-342591-6joc2ld1	197	54	with	with	IN
cord-342591-6joc2ld1	197	55	time	time	NN
cord-342591-6joc2ld1	197	56	delay	delay	NN
cord-342591-6joc2ld1	197	57	In	in	IN
cord-342591-6joc2ld1	197	58	this	this	DT
cord-342591-6joc2ld1	197	59	section	section	NN
cord-342591-6joc2ld1	197	60	,	,	,
cord-342591-6joc2ld1	197	61	we	-PRON-	PRP
cord-342591-6joc2ld1	197	62	show	show	VBP
cord-342591-6joc2ld1	197	63	numerically	numerically	RB
cord-342591-6joc2ld1	197	64	,	,	,
cord-342591-6joc2ld1	197	65	the	the	DT
cord-342591-6joc2ld1	197	66	effect	effect	NN
cord-342591-6joc2ld1	197	67	of	of	IN
cord-342591-6joc2ld1	197	68	applying	apply	VBG
cord-342591-6joc2ld1	197	69	the	the	DT
cord-342591-6joc2ld1	197	70	four	four	CD
cord-342591-6joc2ld1	197	71	control	control	NN
cord-342591-6joc2ld1	197	72	strategies	strategy	NNS
cord-342591-6joc2ld1	197	73	studied	study	VBN
cord-342591-6joc2ld1	197	74	in	in	IN
cord-342591-6joc2ld1	197	75	Section	section	NN
cord-342591-6joc2ld1	197	76	3	3	CD
cord-342591-6joc2ld1	197	77	.	.	.
cord-342591-6joc2ld1	198	1	Figure	figure	NN
cord-342591-6joc2ld1	198	2	25	25	CD
cord-342591-6joc2ld1	198	3	,	,	,
cord-342591-6joc2ld1	198	4	(	(	-LRB-
cord-342591-6joc2ld1	198	5	c	c	NN
cord-342591-6joc2ld1	198	6	)	)	-RRB-
cord-342591-6joc2ld1	198	7	.	.	.
cord-342591-6joc2ld1	199	1	Figure	figure	NN
cord-342591-6joc2ld1	199	2	29	29	CD
cord-342591-6joc2ld1	199	3	shows	show	VBZ
cord-342591-6joc2ld1	199	4	the	the	DT
cord-342591-6joc2ld1	199	5	effect	effect	NN
cord-342591-6joc2ld1	199	6	of	of	IN
cord-342591-6joc2ld1	199	7	the	the	DT
cord-342591-6joc2ld1	199	8	control	control	NN
cord-342591-6joc2ld1	199	9	strategies	strategy	NNS
cord-342591-6joc2ld1	199	10	:	:	:
cord-342591-6joc2ld1	200	1	(	(	-LRB-
cord-342591-6joc2ld1	200	2	vaccination	vaccination	NN
cord-342591-6joc2ld1	200	3	)	)	-RRB-
cord-342591-6joc2ld1	200	4	and	and	CC
cord-342591-6joc2ld1	200	5	33	33	CD
cord-342591-6joc2ld1	200	6	(	(	-LRB-
cord-342591-6joc2ld1	200	7	treatment	treatment	NN
cord-342591-6joc2ld1	200	8	of	of	IN
cord-342591-6joc2ld1	200	9	the	the	DT
cord-342591-6joc2ld1	200	10	Diagnosed	diagnosed	JJ
cord-342591-6joc2ld1	200	11	population	population	NN
cord-342591-6joc2ld1	200	12	phase	phase	NN
cord-342591-6joc2ld1	200	13	)	)	-RRB-
cord-342591-6joc2ld1	200	14	on	on	IN
cord-342591-6joc2ld1	200	15	the	the	DT
cord-342591-6joc2ld1	200	16	different	different	JJ
cord-342591-6joc2ld1	200	17	population	population	NN
cord-342591-6joc2ld1	200	18	phases	phase	NNS
cord-342591-6joc2ld1	200	19	at	at	IN
cord-342591-6joc2ld1	200	20	day	day	NN
cord-342591-6joc2ld1	200	21	70	70	CD
cord-342591-6joc2ld1	200	22	with	with	IN
cord-342591-6joc2ld1	200	23	fractional	fractional	JJ
cord-342591-6joc2ld1	200	24	derivative	derivative	JJ
cord-342591-6joc2ld1	200	25	order	order	NN
cord-342591-6joc2ld1	200	26	.	.	.
cord-342591-6joc2ld1	201	1	Figure	figure	NN
cord-342591-6joc2ld1	201	2	30	30	CD
cord-342591-6joc2ld1	201	3	shows	show	VBZ
cord-342591-6joc2ld1	201	4	the	the	DT
cord-342591-6joc2ld1	201	5	effect	effect	NN
cord-342591-6joc2ld1	201	6	of	of	IN
cord-342591-6joc2ld1	201	7	the	the	DT
cord-342591-6joc2ld1	201	8	control	control	NN
cord-342591-6joc2ld1	201	9	strategies:(vaccination	strategies:(vaccination	NNP
cord-342591-6joc2ld1	201	10	)	)	-RRB-
cord-342591-6joc2ld1	201	11	and	and	CC
cord-342591-6joc2ld1	201	12	(	(	-LRB-
cord-342591-6joc2ld1	201	13	treatment	treatment	NN
cord-342591-6joc2ld1	201	14	of	of	IN
cord-342591-6joc2ld1	201	15	the	the	DT
cord-342591-6joc2ld1	201	16	Diagnosed	diagnosed	JJ
cord-342591-6joc2ld1	201	17	population	population	NN
cord-342591-6joc2ld1	201	18	phase	phase	NN
cord-342591-6joc2ld1	201	19	)	)	-RRB-
cord-342591-6joc2ld1	201	20	on	on	IN
cord-342591-6joc2ld1	201	21	the	the	DT
cord-342591-6joc2ld1	201	22	different	different	JJ
cord-342591-6joc2ld1	201	23	population	population	NN
cord-342591-6joc2ld1	201	24	phases	phase	NNS
cord-342591-6joc2ld1	201	25	at	at	IN
cord-342591-6joc2ld1	201	26	day	day	NN
cord-342591-6joc2ld1	201	27	70	70	CD
cord-342591-6joc2ld1	201	28	with	with	IN
cord-342591-6joc2ld1	201	29	fractional	fractional	JJ
cord-342591-6joc2ld1	201	30	derivative	derivative	JJ
cord-342591-6joc2ld1	201	31	order	order	NN
cord-342591-6joc2ld1	201	32	.	.	.
cord-342591-6joc2ld1	202	1	Figure	figure	NN
cord-342591-6joc2ld1	202	2	 	 	_SP