id	sid	tid	token	lemma	pos
cord-191574-1g38scnj	1	1	key	key	ADJ
cord-191574-1g38scnj	1	2	:	:	PUNCT
cord-191574-1g38scnj	1	3	cord-191574	cord-191574	NOUN
cord-191574-1g38scnj	1	4	-	-	PUNCT
cord-191574-1g38scnj	1	5	1g38scnj	1g38scnj	NUM
cord-191574-1g38scnj	1	6	authors	author	NOUN
cord-191574-1g38scnj	1	7	:	:	PUNCT
cord-191574-1g38scnj	1	8	harko	harko	PROPN
cord-191574-1g38scnj	1	9	,	,	PUNCT
cord-191574-1g38scnj	1	10	tiberiu	tiberiu	PROPN
cord-191574-1g38scnj	1	11	;	;	PUNCT
cord-191574-1g38scnj	1	12	mak	mak	PROPN
cord-191574-1g38scnj	1	13	,	,	PUNCT
cord-191574-1g38scnj	1	14	man	man	NOUN
cord-191574-1g38scnj	1	15	kwong	kwong	PROPN
cord-191574-1g38scnj	1	16	title	title	PROPN
cord-191574-1g38scnj	1	17	:	:	PUNCT
cord-191574-1g38scnj	1	18	series	series	NOUN
cord-191574-1g38scnj	1	19	solution	solution	NOUN
cord-191574-1g38scnj	1	20	of	of	ADP
cord-191574-1g38scnj	1	21	the	the	DET
cord-191574-1g38scnj	1	22	susceptible	susceptible	ADJ
cord-191574-1g38scnj	1	23	-	-	PUNCT
cord-191574-1g38scnj	1	24	infected	infect	VERB
cord-191574-1g38scnj	1	25	-	-	PUNCT
cord-191574-1g38scnj	1	26	recovered	recover	VERB
cord-191574-1g38scnj	1	27	(	(	PUNCT
cord-191574-1g38scnj	1	28	sir	sir	PROPN
cord-191574-1g38scnj	1	29	)	)	PUNCT
cord-191574-1g38scnj	1	30	epidemic	epidemic	NOUN
cord-191574-1g38scnj	1	31	model	model	NOUN
cord-191574-1g38scnj	1	32	with	with	ADP
cord-191574-1g38scnj	1	33	vital	vital	ADJ
cord-191574-1g38scnj	1	34	dynamics	dynamic	NOUN
cord-191574-1g38scnj	1	35	via	via	ADP
cord-191574-1g38scnj	1	36	the	the	DET
cord-191574-1g38scnj	1	37	adomian	adomian	NOUN
cord-191574-1g38scnj	1	38	and	and	CCONJ
cord-191574-1g38scnj	1	39	laplace	laplace	NOUN
cord-191574-1g38scnj	1	40	-	-	PUNCT
cord-191574-1g38scnj	1	41	adomian	adomian	ADJ
cord-191574-1g38scnj	1	42	decomposition	decomposition	NOUN
cord-191574-1g38scnj	1	43	methods	method	NOUN
cord-191574-1g38scnj	1	44	date	date	NOUN
cord-191574-1g38scnj	1	45	:	:	PUNCT
cord-191574-1g38scnj	1	46	2020	2020	NUM
cord-191574-1g38scnj	1	47	-	-	SYM
cord-191574-1g38scnj	1	48	08	08	NUM
cord-191574-1g38scnj	1	49	-	-	PUNCT
cord-191574-1g38scnj	1	50	28	28	NUM
cord-191574-1g38scnj	1	51	journal	journal	NOUN
cord-191574-1g38scnj	1	52	:	:	PUNCT
cord-191574-1g38scnj	1	53	nan	nan	PROPN
cord-191574-1g38scnj	1	54	doi	doi	PROPN
cord-191574-1g38scnj	1	55	:	:	PUNCT
cord-191574-1g38scnj	1	56	nan	nan	PROPN
cord-191574-1g38scnj	1	57	sha	shall	AUX
cord-191574-1g38scnj	1	58	:	:	PUNCT
cord-191574-1g38scnj	2	1	doc_id	doc_id	X
cord-191574-1g38scnj	2	2	:	:	PUNCT
cord-191574-1g38scnj	2	3	191574	191574	NUM
cord-191574-1g38scnj	2	4	cord_uid	cord_uid	PROPN
cord-191574-1g38scnj	2	5	:	:	PUNCT
cord-191574-1g38scnj	2	6	1g38scnj	1g38scnj	NUM
cord-191574-1g38scnj	2	7	the	the	DET
cord-191574-1g38scnj	2	8	susceptible	susceptible	ADV
cord-191574-1g38scnj	2	9	-	-	PUNCT
cord-191574-1g38scnj	2	10	infected	infect	VERB
cord-191574-1g38scnj	2	11	-	-	PUNCT
cord-191574-1g38scnj	2	12	recovered	recover	VERB
cord-191574-1g38scnj	2	13	(	(	PUNCT
cord-191574-1g38scnj	2	14	sir	sir	PROPN
cord-191574-1g38scnj	2	15	)	)	PUNCT
cord-191574-1g38scnj	2	16	epidemic	epidemic	NOUN
cord-191574-1g38scnj	2	17	model	model	NOUN
cord-191574-1g38scnj	2	18	as	as	ADV
cord-191574-1g38scnj	2	19	well	well	ADV
cord-191574-1g38scnj	2	20	as	as	ADP
cord-191574-1g38scnj	2	21	its	its	PRON
cord-191574-1g38scnj	2	22	generalizations	generalization	NOUN
cord-191574-1g38scnj	2	23	are	be	AUX
cord-191574-1g38scnj	2	24	extensively	extensively	ADV
cord-191574-1g38scnj	2	25	used	use	VERB
cord-191574-1g38scnj	2	26	for	for	ADP
cord-191574-1g38scnj	2	27	the	the	DET
cord-191574-1g38scnj	2	28	study	study	NOUN
cord-191574-1g38scnj	2	29	of	of	ADP
cord-191574-1g38scnj	2	30	the	the	DET
cord-191574-1g38scnj	2	31	spread	spread	NOUN
cord-191574-1g38scnj	2	32	of	of	ADP
cord-191574-1g38scnj	2	33	infectious	infectious	ADJ
cord-191574-1g38scnj	2	34	diseases	disease	NOUN
cord-191574-1g38scnj	2	35	,	,	PUNCT
cord-191574-1g38scnj	2	36	and	and	CCONJ
cord-191574-1g38scnj	2	37	for	for	ADP
cord-191574-1g38scnj	2	38	the	the	DET
cord-191574-1g38scnj	2	39	understanding	understanding	NOUN
cord-191574-1g38scnj	2	40	of	of	ADP
cord-191574-1g38scnj	2	41	the	the	DET
cord-191574-1g38scnj	2	42	dynamical	dynamical	ADJ
cord-191574-1g38scnj	2	43	evolution	evolution	NOUN
cord-191574-1g38scnj	2	44	of	of	ADP
cord-191574-1g38scnj	2	45	epidemics	epidemic	NOUN
cord-191574-1g38scnj	2	46	.	.	PUNCT
cord-191574-1g38scnj	3	1	from	from	ADP
cord-191574-1g38scnj	3	2	sir	sir	PROPN
cord-191574-1g38scnj	3	3	type	type	NOUN
cord-191574-1g38scnj	3	4	models	model	NOUN
cord-191574-1g38scnj	3	5	only	only	ADV
cord-191574-1g38scnj	3	6	the	the	DET
cord-191574-1g38scnj	3	7	model	model	NOUN
cord-191574-1g38scnj	3	8	without	without	ADP
cord-191574-1g38scnj	3	9	vital	vital	ADJ
cord-191574-1g38scnj	3	10	dynamics	dynamic	NOUN
cord-191574-1g38scnj	3	11	has	have	VERB
cord-191574-1g38scnj	3	12	an	an	DET
cord-191574-1g38scnj	3	13	exact	exact	ADJ
cord-191574-1g38scnj	3	14	analytic	analytic	ADJ
cord-191574-1g38scnj	3	15	solution	solution	NOUN
cord-191574-1g38scnj	3	16	,	,	PUNCT
cord-191574-1g38scnj	3	17	which	which	PRON
cord-191574-1g38scnj	3	18	can	can	AUX
cord-191574-1g38scnj	3	19	be	be	AUX
cord-191574-1g38scnj	3	20	obtained	obtain	VERB
cord-191574-1g38scnj	3	21	in	in	ADP
cord-191574-1g38scnj	3	22	an	an	DET
cord-191574-1g38scnj	3	23	exact	exact	ADJ
cord-191574-1g38scnj	3	24	parametric	parametric	ADJ
cord-191574-1g38scnj	3	25	form	form	NOUN
cord-191574-1g38scnj	3	26	.	.	PUNCT
cord-191574-1g38scnj	4	1	the	the	DET
cord-191574-1g38scnj	4	2	sir	sir	PROPN
cord-191574-1g38scnj	4	3	model	model	NOUN
cord-191574-1g38scnj	4	4	with	with	ADP
cord-191574-1g38scnj	4	5	vital	vital	ADJ
cord-191574-1g38scnj	4	6	dynamics	dynamic	NOUN
cord-191574-1g38scnj	4	7	,	,	PUNCT
cord-191574-1g38scnj	4	8	the	the	DET
cord-191574-1g38scnj	4	9	simplest	simple	ADJ
cord-191574-1g38scnj	4	10	extension	extension	NOUN
cord-191574-1g38scnj	4	11	of	of	ADP
cord-191574-1g38scnj	4	12	the	the	DET
cord-191574-1g38scnj	4	13	basic	basic	ADJ
cord-191574-1g38scnj	4	14	sir	sir	PROPN
cord-191574-1g38scnj	4	15	model	model	NOUN
cord-191574-1g38scnj	4	16	,	,	PUNCT
cord-191574-1g38scnj	4	17	does	do	AUX
cord-191574-1g38scnj	4	18	not	not	PART
cord-191574-1g38scnj	4	19	admit	admit	VERB
cord-191574-1g38scnj	4	20	a	a	DET
cord-191574-1g38scnj	4	21	closed	closed	ADJ
cord-191574-1g38scnj	4	22	form	form	NOUN
cord-191574-1g38scnj	4	23	representation	representation	NOUN
cord-191574-1g38scnj	4	24	of	of	ADP
cord-191574-1g38scnj	4	25	the	the	DET
cord-191574-1g38scnj	4	26	solution	solution	NOUN
cord-191574-1g38scnj	4	27	.	.	PUNCT
cord-191574-1g38scnj	5	1	however	however	ADV
cord-191574-1g38scnj	5	2	,	,	PUNCT
cord-191574-1g38scnj	5	3	in	in	ADP
cord-191574-1g38scnj	5	4	order	order	NOUN
cord-191574-1g38scnj	5	5	to	to	PART
cord-191574-1g38scnj	5	6	perform	perform	VERB
cord-191574-1g38scnj	5	7	the	the	DET
cord-191574-1g38scnj	5	8	comparison	comparison	NOUN
cord-191574-1g38scnj	5	9	with	with	ADP
cord-191574-1g38scnj	5	10	the	the	DET
cord-191574-1g38scnj	5	11	epidemiological	epidemiological	ADJ
cord-191574-1g38scnj	5	12	data	data	NOUN
cord-191574-1g38scnj	5	13	accurate	accurate	ADJ
cord-191574-1g38scnj	5	14	representations	representation	NOUN
cord-191574-1g38scnj	5	15	of	of	ADP
cord-191574-1g38scnj	5	16	the	the	DET
cord-191574-1g38scnj	5	17	time	time	NOUN
cord-191574-1g38scnj	5	18	evolution	evolution	NOUN
cord-191574-1g38scnj	5	19	of	of	ADP
cord-191574-1g38scnj	5	20	the	the	DET
cord-191574-1g38scnj	5	21	sir	sir	PROPN
cord-191574-1g38scnj	5	22	model	model	NOUN
cord-191574-1g38scnj	5	23	with	with	ADP
cord-191574-1g38scnj	5	24	vital	vital	ADJ
cord-191574-1g38scnj	5	25	dynamics	dynamic	NOUN
cord-191574-1g38scnj	5	26	would	would	AUX
cord-191574-1g38scnj	5	27	be	be	AUX
cord-191574-1g38scnj	5	28	very	very	ADV
cord-191574-1g38scnj	5	29	useful	useful	ADJ
cord-191574-1g38scnj	5	30	.	.	PUNCT
cord-191574-1g38scnj	6	1	in	in	ADP
cord-191574-1g38scnj	6	2	the	the	DET
cord-191574-1g38scnj	6	3	present	present	ADJ
cord-191574-1g38scnj	6	4	paper	paper	NOUN
cord-191574-1g38scnj	6	5	,	,	PUNCT
cord-191574-1g38scnj	6	6	we	we	PRON
cord-191574-1g38scnj	6	7	obtain	obtain	VERB
cord-191574-1g38scnj	6	8	first	first	ADV
cord-191574-1g38scnj	6	9	the	the	DET
cord-191574-1g38scnj	6	10	basic	basic	ADJ
cord-191574-1g38scnj	6	11	evolution	evolution	NOUN
cord-191574-1g38scnj	6	12	equation	equation	NOUN
cord-191574-1g38scnj	6	13	of	of	ADP
cord-191574-1g38scnj	6	14	the	the	DET
cord-191574-1g38scnj	6	15	sir	sir	PROPN
cord-191574-1g38scnj	6	16	model	model	NOUN
cord-191574-1g38scnj	6	17	with	with	ADP
cord-191574-1g38scnj	6	18	vital	vital	ADJ
cord-191574-1g38scnj	6	19	dynamics	dynamic	NOUN
cord-191574-1g38scnj	6	20	,	,	PUNCT
cord-191574-1g38scnj	6	21	which	which	PRON
cord-191574-1g38scnj	6	22	is	be	AUX
cord-191574-1g38scnj	6	23	given	give	VERB
cord-191574-1g38scnj	6	24	by	by	ADP
cord-191574-1g38scnj	6	25	a	a	DET
cord-191574-1g38scnj	6	26	strongly	strongly	ADV
cord-191574-1g38scnj	6	27	nonlinear	nonlinear	ADJ
cord-191574-1g38scnj	6	28	second	second	ADJ
cord-191574-1g38scnj	6	29	order	order	NOUN
cord-191574-1g38scnj	6	30	differential	differential	NOUN
cord-191574-1g38scnj	6	31	equation	equation	NOUN
cord-191574-1g38scnj	6	32	.	.	PUNCT
cord-191574-1g38scnj	7	1	then	then	ADV
cord-191574-1g38scnj	7	2	we	we	PRON
cord-191574-1g38scnj	7	3	obtain	obtain	VERB
cord-191574-1g38scnj	7	4	a	a	DET
cord-191574-1g38scnj	7	5	series	series	NOUN
cord-191574-1g38scnj	7	6	representation	representation	NOUN
cord-191574-1g38scnj	7	7	of	of	ADP
cord-191574-1g38scnj	7	8	the	the	DET
cord-191574-1g38scnj	7	9	solution	solution	NOUN
cord-191574-1g38scnj	7	10	of	of	ADP
cord-191574-1g38scnj	7	11	the	the	DET
cord-191574-1g38scnj	7	12	model	model	NOUN
cord-191574-1g38scnj	7	13	,	,	PUNCT
cord-191574-1g38scnj	7	14	by	by	ADP
cord-191574-1g38scnj	7	15	using	use	VERB
cord-191574-1g38scnj	7	16	the	the	DET
cord-191574-1g38scnj	7	17	adomian	adomian	NOUN
cord-191574-1g38scnj	7	18	and	and	CCONJ
cord-191574-1g38scnj	7	19	laplace	laplace	NOUN
cord-191574-1g38scnj	7	20	-	-	PUNCT
cord-191574-1g38scnj	7	21	adomian	adomian	ADJ
cord-191574-1g38scnj	7	22	decomposition	decomposition	NOUN
cord-191574-1g38scnj	7	23	methods	method	NOUN
cord-191574-1g38scnj	7	24	to	to	PART
cord-191574-1g38scnj	7	25	solve	solve	VERB
cord-191574-1g38scnj	7	26	the	the	DET
cord-191574-1g38scnj	7	27	dynamical	dynamical	ADJ
cord-191574-1g38scnj	7	28	evolution	evolution	NOUN
cord-191574-1g38scnj	7	29	equation	equation	NOUN
cord-191574-1g38scnj	7	30	of	of	ADP
cord-191574-1g38scnj	7	31	the	the	DET
cord-191574-1g38scnj	7	32	model	model	NOUN
cord-191574-1g38scnj	7	33	.	.	PUNCT
cord-191574-1g38scnj	8	1	the	the	DET
cord-191574-1g38scnj	8	2	solutions	solution	NOUN
cord-191574-1g38scnj	8	3	are	be	AUX
cord-191574-1g38scnj	8	4	expressed	express	VERB
cord-191574-1g38scnj	8	5	in	in	ADP
cord-191574-1g38scnj	8	6	the	the	DET
cord-191574-1g38scnj	8	7	form	form	NOUN
cord-191574-1g38scnj	8	8	of	of	ADP
cord-191574-1g38scnj	8	9	infinite	infinite	ADJ
cord-191574-1g38scnj	8	10	series	series	NOUN
cord-191574-1g38scnj	8	11	.	.	PUNCT
cord-191574-1g38scnj	9	1	the	the	DET
cord-191574-1g38scnj	9	2	series	series	NOUN
cord-191574-1g38scnj	9	3	representations	representation	NOUN
cord-191574-1g38scnj	9	4	of	of	ADP
cord-191574-1g38scnj	9	5	the	the	DET
cord-191574-1g38scnj	9	6	time	time	NOUN
cord-191574-1g38scnj	9	7	evolution	evolution	NOUN
cord-191574-1g38scnj	9	8	of	of	ADP
cord-191574-1g38scnj	9	9	the	the	DET
cord-191574-1g38scnj	9	10	sir	sir	PROPN
cord-191574-1g38scnj	9	11	model	model	NOUN
cord-191574-1g38scnj	9	12	with	with	ADP
cord-191574-1g38scnj	9	13	vital	vital	ADJ
cord-191574-1g38scnj	9	14	dynamics	dynamic	NOUN
cord-191574-1g38scnj	9	15	are	be	AUX
cord-191574-1g38scnj	9	16	compared	compare	VERB
cord-191574-1g38scnj	9	17	with	with	ADP
cord-191574-1g38scnj	9	18	the	the	DET
cord-191574-1g38scnj	9	19	exact	exact	ADJ
cord-191574-1g38scnj	9	20	numerical	numerical	ADJ
cord-191574-1g38scnj	9	21	solutions	solution	NOUN
cord-191574-1g38scnj	9	22	of	of	ADP
cord-191574-1g38scnj	9	23	the	the	DET
cord-191574-1g38scnj	9	24	model	model	NOUN
cord-191574-1g38scnj	9	25	,	,	PUNCT
cord-191574-1g38scnj	9	26	and	and	CCONJ
cord-191574-1g38scnj	9	27	we	we	PRON
cord-191574-1g38scnj	9	28	find	find	VERB
cord-191574-1g38scnj	9	29	that	that	SCONJ
cord-191574-1g38scnj	9	30	,	,	PUNCT
cord-191574-1g38scnj	9	31	at	at	ADP
cord-191574-1g38scnj	9	32	least	least	ADJ
cord-191574-1g38scnj	9	33	for	for	ADP
cord-191574-1g38scnj	9	34	a	a	DET
cord-191574-1g38scnj	9	35	specific	specific	ADJ
cord-191574-1g38scnj	9	36	range	range	NOUN
cord-191574-1g38scnj	9	37	of	of	ADP
cord-191574-1g38scnj	9	38	parameters	parameter	NOUN
cord-191574-1g38scnj	9	39	,	,	PUNCT
cord-191574-1g38scnj	9	40	there	there	PRON
cord-191574-1g38scnj	9	41	is	be	VERB
cord-191574-1g38scnj	9	42	a	a	DET
cord-191574-1g38scnj	9	43	good	good	ADJ
cord-191574-1g38scnj	9	44	agreement	agreement	NOUN
cord-191574-1g38scnj	9	45	between	between	ADP
cord-191574-1g38scnj	9	46	the	the	DET
cord-191574-1g38scnj	9	47	adomian	adomian	NOUN
cord-191574-1g38scnj	9	48	and	and	CCONJ
cord-191574-1g38scnj	9	49	laplace	laplace	NOUN
cord-191574-1g38scnj	9	50	-	-	PUNCT
cord-191574-1g38scnj	9	51	adomian	adomian	ADJ
cord-191574-1g38scnj	9	52	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	9	53	solutions	solution	NOUN
cord-191574-1g38scnj	9	54	,	,	PUNCT
cord-191574-1g38scnj	9	55	containing	contain	VERB
cord-191574-1g38scnj	9	56	only	only	ADV
cord-191574-1g38scnj	9	57	a	a	DET
cord-191574-1g38scnj	9	58	small	small	ADJ
cord-191574-1g38scnj	9	59	number	number	NOUN
cord-191574-1g38scnj	9	60	of	of	ADP
cord-191574-1g38scnj	9	61	terms	term	NOUN
cord-191574-1g38scnj	9	62	,	,	PUNCT
cord-191574-1g38scnj	9	63	and	and	CCONJ
cord-191574-1g38scnj	9	64	the	the	DET
cord-191574-1g38scnj	9	65	numerical	numerical	ADJ
cord-191574-1g38scnj	9	66	results	result	NOUN
cord-191574-1g38scnj	9	67	.	.	PUNCT
cord-191574-1g38scnj	10	1	the	the	DET
cord-191574-1g38scnj	10	2	study	study	NOUN
cord-191574-1g38scnj	10	3	of	of	ADP
cord-191574-1g38scnj	10	4	the	the	DET
cord-191574-1g38scnj	10	5	epidemic	epidemic	NOUN
cord-191574-1g38scnj	10	6	mathematical	mathematical	ADJ
cord-191574-1g38scnj	10	7	models	model	NOUN
cord-191574-1g38scnj	10	8	in	in	ADP
cord-191574-1g38scnj	10	9	different	different	ADJ
cord-191574-1g38scnj	10	10	formal	formal	ADJ
cord-191574-1g38scnj	10	11	formulation	formulation	NOUN
cord-191574-1g38scnj	10	12	has	have	AUX
cord-191574-1g38scnj	10	13	been	be	AUX
cord-191574-1g38scnj	10	14	proved	prove	VERB
cord-191574-1g38scnj	10	15	to	to	PART
cord-191574-1g38scnj	10	16	be	be	AUX
cord-191574-1g38scnj	10	17	of	of	ADP
cord-191574-1g38scnj	10	18	crucial	crucial	ADJ
cord-191574-1g38scnj	10	19	interest	interest	NOUN
cord-191574-1g38scnj	10	20	in	in	ADP
cord-191574-1g38scnj	10	21	the	the	DET
cord-191574-1g38scnj	10	22	understanding	understanding	NOUN
cord-191574-1g38scnj	10	23	of	of	ADP
cord-191574-1g38scnj	10	24	the	the	DET
cord-191574-1g38scnj	10	25	dynamics	dynamic	NOUN
cord-191574-1g38scnj	10	26	,	,	PUNCT
cord-191574-1g38scnj	10	27	spread	spread	NOUN
cord-191574-1g38scnj	10	28	and	and	CCONJ
cord-191574-1g38scnj	10	29	control	control	NOUN
cord-191574-1g38scnj	10	30	of	of	ADP
cord-191574-1g38scnj	10	31	epidemic	epidemic	NOUN
cord-191574-1g38scnj	10	32	diseases	disease	NOUN
cord-191574-1g38scnj	10	33	[	[	X
cord-191574-1g38scnj	10	34	1	1	NUM
cord-191574-1g38scnj	10	35	]	]	PUNCT
cord-191574-1g38scnj	10	36	[	[	X
cord-191574-1g38scnj	10	37	2	2	NUM
cord-191574-1g38scnj	10	38	]	]	PUNCT
cord-191574-1g38scnj	10	39	[	[	X
cord-191574-1g38scnj	10	40	3	3	X
cord-191574-1g38scnj	10	41	]	]	PUNCT
cord-191574-1g38scnj	10	42	[	[	X
cord-191574-1g38scnj	10	43	4	4	NUM
cord-191574-1g38scnj	10	44	]	]	PUNCT
cord-191574-1g38scnj	10	45	[	[	X
cord-191574-1g38scnj	10	46	5	5	NUM
cord-191574-1g38scnj	10	47	]	]	PUNCT
cord-191574-1g38scnj	10	48	[	[	X
cord-191574-1g38scnj	10	49	6	6	NUM
cord-191574-1g38scnj	10	50	]	]	PUNCT
cord-191574-1g38scnj	10	51	.	.	PUNCT
cord-191574-1g38scnj	11	1	the	the	DET
cord-191574-1g38scnj	11	2	simplest	simple	ADJ
cord-191574-1g38scnj	11	3	of	of	ADP
cord-191574-1g38scnj	11	4	the	the	DET
cord-191574-1g38scnj	11	5	epidemic	epidemic	NOUN
cord-191574-1g38scnj	11	6	models	model	NOUN
cord-191574-1g38scnj	11	7	are	be	AUX
cord-191574-1g38scnj	11	8	the	the	DET
cord-191574-1g38scnj	11	9	so	so	ADV
cord-191574-1g38scnj	11	10	-	-	PUNCT
cord-191574-1g38scnj	11	11	called	call	VERB
cord-191574-1g38scnj	11	12	deterministic	deterministic	ADJ
cord-191574-1g38scnj	11	13	compartmental	compartmental	NOUN
cord-191574-1g38scnj	11	14	models	model	NOUN
cord-191574-1g38scnj	11	15	,	,	PUNCT
cord-191574-1g38scnj	11	16	consisting	consist	VERB
cord-191574-1g38scnj	11	17	of	of	ADP
cord-191574-1g38scnj	11	18	at	at	ADV
cord-191574-1g38scnj	11	19	least	least	ADV
cord-191574-1g38scnj	11	20	three	three	NUM
cord-191574-1g38scnj	11	21	compartments	compartment	NOUN
cord-191574-1g38scnj	11	22	:	:	PUNCT
cord-191574-1g38scnj	11	23	given	give	VERB
cord-191574-1g38scnj	11	24	by	by	ADP
cord-191574-1g38scnj	11	25	:	:	PUNCT
cord-191574-1g38scnj	11	26	the	the	DET
cord-191574-1g38scnj	11	27	number	number	NOUN
cord-191574-1g38scnj	11	28	of	of	ADP
cord-191574-1g38scnj	11	29	susceptible	susceptible	ADJ
cord-191574-1g38scnj	11	30	individuals	individual	NOUN
cord-191574-1g38scnj	11	31	(	(	PUNCT
cord-191574-1g38scnj	11	32	s	s	PROPN
cord-191574-1g38scnj	11	33	)	)	PUNCT
cord-191574-1g38scnj	11	34	,	,	PUNCT
cord-191574-1g38scnj	11	35	the	the	DET
cord-191574-1g38scnj	11	36	number	number	NOUN
cord-191574-1g38scnj	11	37	of	of	ADP
cord-191574-1g38scnj	11	38	infectious	infectious	ADJ
cord-191574-1g38scnj	11	39	individuals	individual	NOUN
cord-191574-1g38scnj	11	40	(	(	PUNCT
cord-191574-1g38scnj	11	41	i	i	NOUN
cord-191574-1g38scnj	11	42	)	)	PUNCT
cord-191574-1g38scnj	11	43	,	,	PUNCT
cord-191574-1g38scnj	11	44	and	and	CCONJ
cord-191574-1g38scnj	11	45	the	the	DET
cord-191574-1g38scnj	11	46	number	number	NOUN
cord-191574-1g38scnj	11	47	of	of	ADP
cord-191574-1g38scnj	11	48	removed	remove	VERB
cord-191574-1g38scnj	11	49	(	(	PUNCT
cord-191574-1g38scnj	11	50	and	and	CCONJ
cord-191574-1g38scnj	11	51	immune	immune	ADJ
cord-191574-1g38scnj	11	52	)	)	PUNCT
cord-191574-1g38scnj	11	53	,	,	PUNCT
cord-191574-1g38scnj	11	54	or	or	CCONJ
cord-191574-1g38scnj	11	55	deceased	deceased	ADJ
cord-191574-1g38scnj	11	56	individuals	individual	NOUN
cord-191574-1g38scnj	11	57	(	(	PUNCT
cord-191574-1g38scnj	11	58	r	r	NOUN
cord-191574-1g38scnj	11	59	)	)	PUNCT
cord-191574-1g38scnj	11	60	,	,	PUNCT
cord-191574-1g38scnj	11	61	respectively	respectively	ADV
cord-191574-1g38scnj	11	62	.	.	PUNCT
cord-191574-1g38scnj	12	1	the	the	DET
cord-191574-1g38scnj	12	2	first	first	ADJ
cord-191574-1g38scnj	12	3	compartmental	compartmental	NOUN
cord-191574-1g38scnj	12	4	epidemiological	epidemiological	ADJ
cord-191574-1g38scnj	12	5	models	model	NOUN
cord-191574-1g38scnj	12	6	have	have	AUX
cord-191574-1g38scnj	12	7	been	be	AUX
cord-191574-1g38scnj	12	8	proposed	propose	VERB
cord-191574-1g38scnj	12	9	and	and	CCONJ
cord-191574-1g38scnj	12	10	investigated	investigate	VERB
cord-191574-1g38scnj	12	11	in	in	ADP
cord-191574-1g38scnj	12	12	[	[	X
cord-191574-1g38scnj	12	13	7	7	NUM
cord-191574-1g38scnj	12	14	]	]	PUNCT
cord-191574-1g38scnj	12	15	.	.	PUNCT
cord-191574-1g38scnj	13	1	despite	despite	SCONJ
cord-191574-1g38scnj	13	2	their	their	PRON
cord-191574-1g38scnj	13	3	apparent	apparent	ADJ
cord-191574-1g38scnj	13	4	phenomenological	phenomenological	ADJ
cord-191574-1g38scnj	13	5	simplicity	simplicity	NOUN
cord-191574-1g38scnj	13	6	,	,	PUNCT
cord-191574-1g38scnj	13	7	the	the	DET
cord-191574-1g38scnj	13	8	mathematical	mathematical	ADJ
cord-191574-1g38scnj	13	9	equations	equation	NOUN
cord-191574-1g38scnj	13	10	describing	describe	VERB
cord-191574-1g38scnj	13	11	the	the	DET
cord-191574-1g38scnj	13	12	sir	sir	PROPN
cord-191574-1g38scnj	13	13	type	type	NOUN
cord-191574-1g38scnj	13	14	models	model	NOUN
cord-191574-1g38scnj	13	15	are	be	AUX
cord-191574-1g38scnj	13	16	essentially	essentially	ADV
cord-191574-1g38scnj	13	17	nonlinear	nonlinear	ADJ
cord-191574-1g38scnj	13	18	,	,	PUNCT
cord-191574-1g38scnj	13	19	with	with	ADP
cord-191574-1g38scnj	13	20	this	this	DET
cord-191574-1g38scnj	13	21	nonlinearity	nonlinearity	NOUN
cord-191574-1g38scnj	13	22	raising	raise	VERB
cord-191574-1g38scnj	13	23	a	a	DET
cord-191574-1g38scnj	13	24	number	number	NOUN
cord-191574-1g38scnj	13	25	of	of	ADP
cord-191574-1g38scnj	13	26	important	important	ADJ
cord-191574-1g38scnj	13	27	and	and	CCONJ
cord-191574-1g38scnj	13	28	interesting	interesting	ADJ
cord-191574-1g38scnj	13	29	mathematical	mathematical	ADJ
cord-191574-1g38scnj	13	30	problems	problem	NOUN
cord-191574-1g38scnj	13	31	in	in	ADP
cord-191574-1g38scnj	13	32	the	the	DET
cord-191574-1g38scnj	13	33	study	study	NOUN
cord-191574-1g38scnj	13	34	of	of	ADP
cord-191574-1g38scnj	13	35	even	even	ADV
cord-191574-1g38scnj	13	36	the	the	DET
cord-191574-1g38scnj	13	37	simplest	simple	ADJ
cord-191574-1g38scnj	13	38	models	model	NOUN
cord-191574-1g38scnj	13	39	of	of	ADP
cord-191574-1g38scnj	13	40	epidemics	epidemic	NOUN
cord-191574-1g38scnj	13	41	.	.	PUNCT
cord-191574-1g38scnj	14	1	on	on	ADP
cord-191574-1g38scnj	14	2	the	the	DET
cord-191574-1g38scnj	14	3	other	other	ADJ
cord-191574-1g38scnj	14	4	hand	hand	NOUN
cord-191574-1g38scnj	14	5	the	the	DET
cord-191574-1g38scnj	14	6	sir	sir	PROPN
cord-191574-1g38scnj	14	7	type	type	NOUN
cord-191574-1g38scnj	14	8	models	model	NOUN
cord-191574-1g38scnj	14	9	still	still	ADV
cord-191574-1g38scnj	14	10	have	have	VERB
cord-191574-1g38scnj	14	11	a	a	DET
cord-191574-1g38scnj	14	12	powerful	powerful	ADJ
cord-191574-1g38scnj	14	13	predictive	predictive	NOUN
cord-191574-1g38scnj	14	14	and	and	CCONJ
cord-191574-1g38scnj	14	15	investigating	investigate	VERB
cord-191574-1g38scnj	14	16	power	power	NOUN
cord-191574-1g38scnj	14	17	,	,	PUNCT
cord-191574-1g38scnj	14	18	and	and	CCONJ
cord-191574-1g38scnj	14	19	many	many	ADJ
cord-191574-1g38scnj	14	20	of	of	ADP
cord-191574-1g38scnj	14	21	them	they	PRON
cord-191574-1g38scnj	14	22	have	have	AUX
cord-191574-1g38scnj	14	23	been	be	AUX
cord-191574-1g38scnj	14	24	used	use	VERB
cord-191574-1g38scnj	14	25	to	to	PART
cord-191574-1g38scnj	14	26	investigate	investigate	VERB
cord-191574-1g38scnj	14	27	the	the	DET
cord-191574-1g38scnj	14	28	recent	recent	ADJ
cord-191574-1g38scnj	14	29	covid-19	covid-19	PROPN
cord-191574-1g38scnj	14	30	pandemic	pandemic	NOUN
cord-191574-1g38scnj	14	31	[	[	X
cord-191574-1g38scnj	14	32	8	8	NUM
cord-191574-1g38scnj	14	33	]	]	PUNCT
cord-191574-1g38scnj	14	34	,	,	PUNCT
cord-191574-1g38scnj	14	35	like	like	INTJ
cord-191574-1g38scnj	14	36	,	,	PUNCT
cord-191574-1g38scnj	14	37	for	for	ADP
cord-191574-1g38scnj	14	38	example	example	NOUN
cord-191574-1g38scnj	14	39	,	,	PUNCT
cord-191574-1g38scnj	14	40	in	in	ADP
cord-191574-1g38scnj	14	41	[	[	X
cord-191574-1g38scnj	14	42	9	9	NUM
cord-191574-1g38scnj	14	43	]	]	PUNCT
cord-191574-1g38scnj	14	44	[	[	X
cord-191574-1g38scnj	14	45	10	10	NUM
cord-191574-1g38scnj	14	46	]	]	PUNCT
cord-191574-1g38scnj	14	47	[	[	X
cord-191574-1g38scnj	14	48	11	11	NUM
cord-191574-1g38scnj	14	49	]	]	PUNCT
cord-191574-1g38scnj	14	50	[	[	X
cord-191574-1g38scnj	14	51	12	12	NUM
cord-191574-1g38scnj	14	52	]	]	PUNCT
cord-191574-1g38scnj	14	53	[	[	X
cord-191574-1g38scnj	14	54	13	13	NUM
cord-191574-1g38scnj	14	55	]	]	PUNCT
cord-191574-1g38scnj	14	56	[	[	X
cord-191574-1g38scnj	14	57	14	14	NUM
cord-191574-1g38scnj	14	58	]	]	PUNCT
cord-191574-1g38scnj	14	59	[	[	X
cord-191574-1g38scnj	14	60	15	15	NUM
cord-191574-1g38scnj	14	61	]	]	PUNCT
cord-191574-1g38scnj	14	62	[	[	X
cord-191574-1g38scnj	14	63	16	16	NUM
cord-191574-1g38scnj	14	64	]	]	PUNCT
cord-191574-1g38scnj	14	65	[	[	X
cord-191574-1g38scnj	14	66	17	17	NUM
cord-191574-1g38scnj	14	67	]	]	PUNCT
cord-191574-1g38scnj	14	68	[	[	X
cord-191574-1g38scnj	14	69	18	18	NUM
cord-191574-1g38scnj	14	70	]	]	PUNCT
cord-191574-1g38scnj	14	71	[	[	X
cord-191574-1g38scnj	14	72	19	19	NUM
cord-191574-1g38scnj	14	73	]	]	PUNCT
cord-191574-1g38scnj	14	74	[	[	X
cord-191574-1g38scnj	14	75	20	20	NUM
cord-191574-1g38scnj	14	76	]	]	PUNCT
cord-191574-1g38scnj	14	77	[	[	X
cord-191574-1g38scnj	14	78	21	21	NUM
cord-191574-1g38scnj	14	79	]	]	PUNCT
cord-191574-1g38scnj	14	80	[	[	X
cord-191574-1g38scnj	14	81	22	22	NUM
cord-191574-1g38scnj	14	82	]	]	PUNCT
cord-191574-1g38scnj	14	83	[	[	X
cord-191574-1g38scnj	14	84	23	23	NUM
cord-191574-1g38scnj	14	85	]	]	PUNCT
cord-191574-1g38scnj	14	86	[	[	X
cord-191574-1g38scnj	14	87	24	24	NUM
cord-191574-1g38scnj	14	88	]	]	PUNCT
cord-191574-1g38scnj	14	89	.	.	PUNCT
cord-191574-1g38scnj	15	1	the	the	DET
cord-191574-1g38scnj	15	2	basic	basic	ADJ
cord-191574-1g38scnj	15	3	equations	equation	NOUN
cord-191574-1g38scnj	15	4	of	of	ADP
cord-191574-1g38scnj	15	5	the	the	DET
cord-191574-1g38scnj	15	6	sir	sir	PROPN
cord-191574-1g38scnj	15	7	model	model	NOUN
cord-191574-1g38scnj	15	8	are	be	AUX
cord-191574-1g38scnj	15	9	given	give	VERB
cord-191574-1g38scnj	15	10	by	by	ADP
cord-191574-1g38scnj	15	11	the	the	DET
cord-191574-1g38scnj	15	12	following	follow	VERB
cord-191574-1g38scnj	15	13	nonlinear	nonlinear	ADJ
cord-191574-1g38scnj	15	14	system	system	NOUN
cord-191574-1g38scnj	15	15	of	of	ADP
cord-191574-1g38scnj	15	16	ordinary	ordinary	ADJ
cord-191574-1g38scnj	15	17	differential	differential	ADJ
cord-191574-1g38scnj	15	18	equations	equation	NOUN
cord-191574-1g38scnj	15	19	[	[	PUNCT
cord-191574-1g38scnj	15	20	7	7	NUM
cord-191574-1g38scnj	15	21	,	,	PUNCT
cord-191574-1g38scnj	15	22	25	25	NUM
cord-191574-1g38scnj	15	23	]	]	PUNCT
cord-191574-1g38scnj	15	24	respectively	respectively	ADV
cord-191574-1g38scnj	15	25	,	,	PUNCT
cord-191574-1g38scnj	15	26	where	where	SCONJ
cord-191574-1g38scnj	15	27	x(t	x(t	PROPN
cord-191574-1g38scnj	15	28	)	)	PUNCT
cord-191574-1g38scnj	15	29	>	>	X
cord-191574-1g38scnj	15	30	0	0	NUM
cord-191574-1g38scnj	15	31	,	,	PUNCT
cord-191574-1g38scnj	15	32	y(t	y(t	PROPN
cord-191574-1g38scnj	15	33	)	)	PUNCT
cord-191574-1g38scnj	15	34	>	>	PUNCT
cord-191574-1g38scnj	15	35	0	0	NUM
cord-191574-1g38scnj	15	36	and	and	CCONJ
cord-191574-1g38scnj	15	37	z(t	z(t	PROPN
cord-191574-1g38scnj	15	38	)	)	PUNCT
cord-191574-1g38scnj	15	39	>	>	PUNCT
cord-191574-1g38scnj	15	40	0	0	NUM
cord-191574-1g38scnj	15	41	,	,	PUNCT
cord-191574-1g38scnj	15	42	∀t	∀t	NUM
cord-191574-1g38scnj	15	43	≥	≥	NOUN
cord-191574-1g38scnj	15	44	0	0	NUM
cord-191574-1g38scnj	15	45	.	.	PUNCT
cord-191574-1g38scnj	16	1	the	the	DET
cord-191574-1g38scnj	16	2	system	system	NOUN
cord-191574-1g38scnj	16	3	of	of	ADP
cord-191574-1g38scnj	16	4	equations	equation	NOUN
cord-191574-1g38scnj	16	5	(	(	PUNCT
cord-191574-1g38scnj	16	6	1	1	NUM
cord-191574-1g38scnj	16	7	)	)	PUNCT
cord-191574-1g38scnj	16	8	must	must	AUX
cord-191574-1g38scnj	16	9	be	be	AUX
cord-191574-1g38scnj	16	10	integrated	integrate	VERB
cord-191574-1g38scnj	16	11	with	with	ADP
cord-191574-1g38scnj	16	12	the	the	DET
cord-191574-1g38scnj	16	13	initial	initial	ADJ
cord-191574-1g38scnj	16	14	conditions	condition	NOUN
cord-191574-1g38scnj	16	15	x	x	PUNCT
cord-191574-1g38scnj	16	16	(	(	PUNCT
cord-191574-1g38scnj	16	17	0	0	NUM
cord-191574-1g38scnj	16	18	)	)	PUNCT
cord-191574-1g38scnj	16	19	=	=	NOUN
cord-191574-1g38scnj	16	20	n	n	NOUN
cord-191574-1g38scnj	16	21	1	1	NUM
cord-191574-1g38scnj	16	22	≥	≥	NOUN
cord-191574-1g38scnj	16	23	0	0	NUM
cord-191574-1g38scnj	16	24	,	,	PUNCT
cord-191574-1g38scnj	16	25	y	y	PROPN
cord-191574-1g38scnj	16	26	(	(	PUNCT
cord-191574-1g38scnj	16	27	0	0	NUM
cord-191574-1g38scnj	16	28	)	)	PUNCT
cord-191574-1g38scnj	16	29	=	=	NOUN
cord-191574-1g38scnj	16	30	n	n	NOUN
cord-191574-1g38scnj	16	31	2	2	NUM
cord-191574-1g38scnj	16	32	≥	≥	NOUN
cord-191574-1g38scnj	16	33	0	0	NUM
cord-191574-1g38scnj	16	34	and	and	CCONJ
cord-191574-1g38scnj	16	35	z	z	NOUN
cord-191574-1g38scnj	16	36	(	(	PUNCT
cord-191574-1g38scnj	16	37	0	0	NUM
cord-191574-1g38scnj	16	38	)	)	PUNCT
cord-191574-1g38scnj	16	39	=	=	NOUN
cord-191574-1g38scnj	16	40	n	n	NOUN
cord-191574-1g38scnj	16	41	3	3	NUM
cord-191574-1g38scnj	16	42	≥	≥	NOUN
cord-191574-1g38scnj	16	43	0	0	NUM
cord-191574-1g38scnj	16	44	,	,	PUNCT
cord-191574-1g38scnj	16	45	respectively	respectively	ADV
cord-191574-1g38scnj	16	46	,	,	PUNCT
cord-191574-1g38scnj	16	47	where	where	SCONJ
cord-191574-1g38scnj	16	48	n	n	NOUN
cord-191574-1g38scnj	16	49	i	i	PROPN
cord-191574-1g38scnj	16	50	∈	∈	PROPN
cord-191574-1g38scnj	16	51	ℜ	ℜ	PROPN
cord-191574-1g38scnj	16	52	,	,	PUNCT
cord-191574-1g38scnj	16	53	i	i	NOUN
cord-191574-1g38scnj	16	54	=	=	NOUN
cord-191574-1g38scnj	16	55	1	1	NUM
cord-191574-1g38scnj	16	56	,	,	PUNCT
cord-191574-1g38scnj	16	57	2	2	NUM
cord-191574-1g38scnj	16	58	,	,	PUNCT
cord-191574-1g38scnj	16	59	3	3	NUM
cord-191574-1g38scnj	16	60	.	.	PUNCT
cord-191574-1g38scnj	17	1	the	the	DET
cord-191574-1g38scnj	17	2	time	time	NOUN
cord-191574-1g38scnj	17	3	evolution	evolution	NOUN
cord-191574-1g38scnj	17	4	of	of	ADP
cord-191574-1g38scnj	17	5	the	the	DET
cord-191574-1g38scnj	17	6	sir	sir	PROPN
cord-191574-1g38scnj	17	7	epidemic	epidemic	NOUN
cord-191574-1g38scnj	17	8	model	model	NOUN
cord-191574-1g38scnj	17	9	,	,	PUNCT
cord-191574-1g38scnj	17	10	as	as	ADV
cord-191574-1g38scnj	17	11	well	well	ADV
cord-191574-1g38scnj	17	12	as	as	ADP
cord-191574-1g38scnj	17	13	its	its	PRON
cord-191574-1g38scnj	17	14	intrinsic	intrinsic	ADJ
cord-191574-1g38scnj	17	15	dynamics	dynamic	NOUN
cord-191574-1g38scnj	17	16	is	be	AUX
cord-191574-1g38scnj	17	17	determined	determine	VERB
cord-191574-1g38scnj	17	18	by	by	ADP
cord-191574-1g38scnj	17	19	two	two	NUM
cord-191574-1g38scnj	17	20	epidemiological	epidemiological	ADJ
cord-191574-1g38scnj	17	21	parameters	parameter	NOUN
cord-191574-1g38scnj	17	22	only	only	ADV
cord-191574-1g38scnj	17	23	,	,	PUNCT
cord-191574-1g38scnj	17	24	the	the	DET
cord-191574-1g38scnj	17	25	infection	infection	NOUN
cord-191574-1g38scnj	17	26	rate	rate	NOUN
cord-191574-1g38scnj	17	27	β	β	NOUN
cord-191574-1g38scnj	17	28	,	,	PUNCT
cord-191574-1g38scnj	17	29	and	and	CCONJ
cord-191574-1g38scnj	17	30	the	the	DET
cord-191574-1g38scnj	17	31	mean	mean	NOUN
cord-191574-1g38scnj	17	32	recovery	recovery	NOUN
cord-191574-1g38scnj	17	33	rate	rate	NOUN
cord-191574-1g38scnj	17	34	γ	γ	PROPN
cord-191574-1g38scnj	17	35	,	,	PUNCT
cord-191574-1g38scnj	17	36	respectively	respectively	ADV
cord-191574-1g38scnj	17	37	,	,	PUNCT
cord-191574-1g38scnj	17	38	which	which	PRON
cord-191574-1g38scnj	17	39	are	be	AUX
cord-191574-1g38scnj	17	40	assumed	assume	VERB
cord-191574-1g38scnj	17	41	to	to	PART
cord-191574-1g38scnj	17	42	be	be	AUX
cord-191574-1g38scnj	17	43	positive	positive	ADJ
cord-191574-1g38scnj	17	44	constants	constant	NOUN
cord-191574-1g38scnj	17	45	.	.	PUNCT
cord-191574-1g38scnj	18	1	the	the	DET
cord-191574-1g38scnj	18	2	exact	exact	ADJ
cord-191574-1g38scnj	18	3	solution	solution	NOUN
cord-191574-1g38scnj	18	4	of	of	ADP
cord-191574-1g38scnj	18	5	the	the	DET
cord-191574-1g38scnj	18	6	sir	sir	PROPN
cord-191574-1g38scnj	18	7	model	model	NOUN
cord-191574-1g38scnj	18	8	(	(	PUNCT
cord-191574-1g38scnj	18	9	1	1	NUM
cord-191574-1g38scnj	18	10	)	)	PUNCT
cord-191574-1g38scnj	18	11	can	can	AUX
cord-191574-1g38scnj	18	12	be	be	AUX
cord-191574-1g38scnj	18	13	obtained	obtain	VERB
cord-191574-1g38scnj	18	14	in	in	ADP
cord-191574-1g38scnj	18	15	an	an	DET
cord-191574-1g38scnj	18	16	exact	exact	ADJ
cord-191574-1g38scnj	18	17	parametric	parametric	ADJ
cord-191574-1g38scnj	18	18	form	form	NOUN
cord-191574-1g38scnj	18	19	,	,	PUNCT
cord-191574-1g38scnj	18	20	and	and	CCONJ
cord-191574-1g38scnj	18	21	it	it	PRON
cord-191574-1g38scnj	18	22	is	be	AUX
cord-191574-1g38scnj	18	23	given	give	VERB
cord-191574-1g38scnj	18	24	by	by	ADP
cord-191574-1g38scnj	18	25	[	[	SYM
cord-191574-1g38scnj	18	26	25	25	NUM
cord-191574-1g38scnj	18	27	]	]	PUNCT
cord-191574-1g38scnj	18	28	x	x	X
cord-191574-1g38scnj	18	29	=	=	X
cord-191574-1g38scnj	18	30	x	x	PUNCT
cord-191574-1g38scnj	18	31	0	0	PUNCT
cord-191574-1g38scnj	18	32	u	u	NOUN
cord-191574-1g38scnj	18	33	,	,	PUNCT
cord-191574-1g38scnj	18	34	where	where	SCONJ
cord-191574-1g38scnj	18	35	n	n	PROPN
cord-191574-1g38scnj	18	36	=	=	PROPN
cord-191574-1g38scnj	18	37	∑	∑	PUNCT
cord-191574-1g38scnj	18	38	3	3	NUM
cord-191574-1g38scnj	18	39	i=1	i=1	X
cord-191574-1g38scnj	18	40	n	n	NOUN
cord-191574-1g38scnj	19	1	i	i	INTJ
cord-191574-1g38scnj	19	2	,	,	PUNCT
cord-191574-1g38scnj	19	3	x	x	NOUN
cord-191574-1g38scnj	19	4	0	0	PUNCT
cord-191574-1g38scnj	19	5	=	=	NOUN
cord-191574-1g38scnj	19	6	n	n	NOUN
cord-191574-1g38scnj	19	7	1	1	NUM
cord-191574-1g38scnj	19	8	e	e	NOUN
cord-191574-1g38scnj	19	9	(	(	PUNCT
cord-191574-1g38scnj	19	10	β	β	PROPN
cord-191574-1g38scnj	19	11	/γ	/γ	PUNCT
cord-191574-1g38scnj	19	12	)	)	PUNCT
cord-191574-1g38scnj	19	13	n	n	ADP
cord-191574-1g38scnj	19	14	3	3	NUM
cord-191574-1g38scnj	19	15	,	,	PUNCT
cord-191574-1g38scnj	19	16	and	and	CCONJ
cord-191574-1g38scnj	19	17	u	u	PRON
cord-191574-1g38scnj	19	18	is	be	AUX
cord-191574-1g38scnj	19	19	a	a	DET
cord-191574-1g38scnj	19	20	parameter	parameter	NOUN
cord-191574-1g38scnj	19	21	.	.	PUNCT
cord-191574-1g38scnj	20	1	in	in	ADP
cord-191574-1g38scnj	20	2	these	these	DET
cord-191574-1g38scnj	20	3	equations	equation	NOUN
cord-191574-1g38scnj	20	4	x(t	x(t	PROPN
cord-191574-1g38scnj	20	5	)	)	PUNCT
cord-191574-1g38scnj	20	6	gives	give	VERB
cord-191574-1g38scnj	20	7	the	the	DET
cord-191574-1g38scnj	20	8	number	number	NOUN
cord-191574-1g38scnj	20	9	of	of	ADP
cord-191574-1g38scnj	20	10	individuals	individual	NOUN
cord-191574-1g38scnj	20	11	not	not	PART
cord-191574-1g38scnj	20	12	yet	yet	ADV
cord-191574-1g38scnj	20	13	infected	infect	VERB
cord-191574-1g38scnj	20	14	with	with	ADP
cord-191574-1g38scnj	20	15	the	the	DET
cord-191574-1g38scnj	20	16	epidemics	epidemic	NOUN
cord-191574-1g38scnj	20	17	at	at	ADP
cord-191574-1g38scnj	20	18	time	time	NOUN
cord-191574-1g38scnj	20	19	t	t	NOUN
cord-191574-1g38scnj	20	20	,	,	PUNCT
cord-191574-1g38scnj	20	21	or	or	CCONJ
cord-191574-1g38scnj	20	22	those	those	PRON
cord-191574-1g38scnj	20	23	susceptible	susceptible	ADJ
cord-191574-1g38scnj	20	24	to	to	ADP
cord-191574-1g38scnj	20	25	the	the	DET
cord-191574-1g38scnj	20	26	infection	infection	NOUN
cord-191574-1g38scnj	20	27	,	,	PUNCT
cord-191574-1g38scnj	20	28	y(t	y(t	PROPN
cord-191574-1g38scnj	20	29	)	)	PUNCT
cord-191574-1g38scnj	20	30	represents	represent	VERB
cord-191574-1g38scnj	20	31	the	the	DET
cord-191574-1g38scnj	20	32	number	number	NOUN
cord-191574-1g38scnj	20	33	of	of	ADP
cord-191574-1g38scnj	20	34	individuals	individual	NOUN
cord-191574-1g38scnj	20	35	who	who	PRON
cord-191574-1g38scnj	20	36	have	have	AUX
cord-191574-1g38scnj	20	37	already	already	ADV
cord-191574-1g38scnj	20	38	been	be	AUX
cord-191574-1g38scnj	20	39	infected	infect	VERB
cord-191574-1g38scnj	20	40	with	with	ADP
cord-191574-1g38scnj	20	41	the	the	DET
cord-191574-1g38scnj	20	42	disease	disease	NOUN
cord-191574-1g38scnj	20	43	,	,	PUNCT
cord-191574-1g38scnj	20	44	and	and	CCONJ
cord-191574-1g38scnj	20	45	hence	hence	ADV
cord-191574-1g38scnj	20	46	are	be	AUX
cord-191574-1g38scnj	20	47	able	able	ADJ
cord-191574-1g38scnj	20	48	to	to	PART
cord-191574-1g38scnj	20	49	spread	spread	VERB
cord-191574-1g38scnj	20	50	the	the	DET
cord-191574-1g38scnj	20	51	disease	disease	NOUN
cord-191574-1g38scnj	20	52	to	to	ADP
cord-191574-1g38scnj	20	53	the	the	DET
cord-191574-1g38scnj	20	54	persons	person	NOUN
cord-191574-1g38scnj	20	55	in	in	ADP
cord-191574-1g38scnj	20	56	the	the	DET
cord-191574-1g38scnj	20	57	susceptible	susceptible	ADJ
cord-191574-1g38scnj	20	58	category	category	NOUN
cord-191574-1g38scnj	20	59	,	,	PUNCT
cord-191574-1g38scnj	20	60	while	while	SCONJ
cord-191574-1g38scnj	20	61	z(t	z(t	PROPN
cord-191574-1g38scnj	20	62	)	)	PUNCT
cord-191574-1g38scnj	20	63	denotes	denote	VERB
cord-191574-1g38scnj	20	64	the	the	DET
cord-191574-1g38scnj	20	65	individuals	individual	NOUN
cord-191574-1g38scnj	20	66	who	who	PRON
cord-191574-1g38scnj	20	67	have	have	AUX
cord-191574-1g38scnj	20	68	been	be	AUX
cord-191574-1g38scnj	20	69	infected	infect	VERB
cord-191574-1g38scnj	20	70	,	,	PUNCT
cord-191574-1g38scnj	20	71	but	but	CCONJ
cord-191574-1g38scnj	20	72	did	do	AUX
cord-191574-1g38scnj	20	73	recover	recover	VERB
cord-191574-1g38scnj	20	74	from	from	ADP
cord-191574-1g38scnj	20	75	the	the	DET
cord-191574-1g38scnj	20	76	disease	disease	NOUN
cord-191574-1g38scnj	20	77	.	.	PUNCT
cord-191574-1g38scnj	21	1	for	for	ADP
cord-191574-1g38scnj	21	2	a	a	DET
cord-191574-1g38scnj	21	3	pedagogical	pedagogical	ADJ
cord-191574-1g38scnj	21	4	discussion	discussion	NOUN
cord-191574-1g38scnj	21	5	of	of	ADP
cord-191574-1g38scnj	21	6	the	the	DET
cord-191574-1g38scnj	21	7	sir	sir	PROPN
cord-191574-1g38scnj	21	8	model	model	NOUN
cord-191574-1g38scnj	21	9	and	and	CCONJ
cord-191574-1g38scnj	21	10	of	of	ADP
cord-191574-1g38scnj	21	11	its	its	PRON
cord-191574-1g38scnj	21	12	exact	exact	ADJ
cord-191574-1g38scnj	21	13	solution	solution	NOUN
cord-191574-1g38scnj	21	14	see	see	VERB
cord-191574-1g38scnj	21	15	[	[	X
cord-191574-1g38scnj	21	16	26	26	NUM
cord-191574-1g38scnj	21	17	]	]	PUNCT
cord-191574-1g38scnj	21	18	.	.	PUNCT
cord-191574-1g38scnj	22	1	however	however	ADV
cord-191574-1g38scnj	22	2	,	,	PUNCT
cord-191574-1g38scnj	22	3	due	due	ADP
cord-191574-1g38scnj	22	4	to	to	ADP
cord-191574-1g38scnj	22	5	the	the	DET
cord-191574-1g38scnj	22	6	integral	integral	ADJ
cord-191574-1g38scnj	22	7	representation	representation	NOUN
cord-191574-1g38scnj	22	8	of	of	ADP
cord-191574-1g38scnj	22	9	the	the	DET
cord-191574-1g38scnj	22	10	time	time	NOUN
cord-191574-1g38scnj	22	11	variable	variable	ADJ
cord-191574-1g38scnj	22	12	,	,	PUNCT
cord-191574-1g38scnj	22	13	some	some	DET
cord-191574-1g38scnj	22	14	alternative	alternative	ADJ
cord-191574-1g38scnj	22	15	representations	representation	NOUN
cord-191574-1g38scnj	22	16	and	and	CCONJ
cord-191574-1g38scnj	22	17	methods	method	NOUN
cord-191574-1g38scnj	22	18	have	have	AUX
cord-191574-1g38scnj	22	19	been	be	AUX
cord-191574-1g38scnj	22	20	used	use	VERB
cord-191574-1g38scnj	22	21	for	for	ADP
cord-191574-1g38scnj	22	22	the	the	DET
cord-191574-1g38scnj	22	23	study	study	NOUN
cord-191574-1g38scnj	22	24	of	of	ADP
cord-191574-1g38scnj	22	25	the	the	DET
cord-191574-1g38scnj	22	26	solution	solution	NOUN
cord-191574-1g38scnj	22	27	of	of	ADP
cord-191574-1g38scnj	22	28	the	the	DET
cord-191574-1g38scnj	22	29	sir	sir	PROPN
cord-191574-1g38scnj	22	30	model	model	NOUN
cord-191574-1g38scnj	22	31	[	[	X
cord-191574-1g38scnj	22	32	27	27	NUM
cord-191574-1g38scnj	22	33	]	]	PUNCT
cord-191574-1g38scnj	22	34	[	[	X
cord-191574-1g38scnj	22	35	28	28	NUM
cord-191574-1g38scnj	22	36	]	]	PUNCT
cord-191574-1g38scnj	22	37	[	[	X
cord-191574-1g38scnj	22	38	29	29	NUM
cord-191574-1g38scnj	22	39	]	]	PUNCT
cord-191574-1g38scnj	22	40	,	,	PUNCT
cord-191574-1g38scnj	22	41	including	include	VERB
cord-191574-1g38scnj	22	42	the	the	DET
cord-191574-1g38scnj	22	43	variational	variational	ADJ
cord-191574-1g38scnj	22	44	iteration	iteration	NOUN
cord-191574-1g38scnj	22	45	method	method	NOUN
cord-191574-1g38scnj	22	46	,	,	PUNCT
cord-191574-1g38scnj	22	47	and	and	CCONJ
cord-191574-1g38scnj	22	48	the	the	DET
cord-191574-1g38scnj	22	49	homotopy	homotopy	ADJ
cord-191574-1g38scnj	22	50	perturbation	perturbation	NOUN
cord-191574-1g38scnj	22	51	method	method	NOUN
cord-191574-1g38scnj	22	52	.	.	PUNCT
cord-191574-1g38scnj	23	1	a	a	DET
cord-191574-1g38scnj	23	2	powerful	powerful	ADJ
cord-191574-1g38scnj	23	3	method	method	NOUN
cord-191574-1g38scnj	23	4	for	for	ADP
cord-191574-1g38scnj	23	5	obtaining	obtain	VERB
cord-191574-1g38scnj	23	6	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	23	7	solutions	solution	NOUN
cord-191574-1g38scnj	23	8	of	of	ADP
cord-191574-1g38scnj	23	9	strongly	strongly	ADV
cord-191574-1g38scnj	23	10	nonlinear	nonlinear	ADJ
cord-191574-1g38scnj	23	11	differential	differential	ADJ
cord-191574-1g38scnj	23	12	equations	equation	NOUN
cord-191574-1g38scnj	23	13	is	be	AUX
cord-191574-1g38scnj	23	14	represented	represent	VERB
cord-191574-1g38scnj	23	15	by	by	ADP
cord-191574-1g38scnj	23	16	the	the	DET
cord-191574-1g38scnj	23	17	adomian	adomian	ADJ
cord-191574-1g38scnj	23	18	decomposition	decomposition	NOUN
cord-191574-1g38scnj	23	19	method	method	NOUN
cord-191574-1g38scnj	23	20	[	[	X
cord-191574-1g38scnj	23	21	30	30	NUM
cord-191574-1g38scnj	23	22	]	]	PUNCT
cord-191574-1g38scnj	23	23	[	[	X
cord-191574-1g38scnj	23	24	31	31	NUM
cord-191574-1g38scnj	23	25	]	]	PUNCT
cord-191574-1g38scnj	23	26	[	[	X
cord-191574-1g38scnj	23	27	32	32	NUM
cord-191574-1g38scnj	23	28	]	]	PUNCT
cord-191574-1g38scnj	23	29	[	[	X
cord-191574-1g38scnj	23	30	33	33	NUM
cord-191574-1g38scnj	23	31	]	]	PUNCT
cord-191574-1g38scnj	23	32	,	,	PUNCT
cord-191574-1g38scnj	23	33	whose	whose	DET
cord-191574-1g38scnj	23	34	basic	basic	ADJ
cord-191574-1g38scnj	23	35	idea	idea	NOUN
cord-191574-1g38scnj	23	36	is	be	AUX
cord-191574-1g38scnj	23	37	to	to	PART
cord-191574-1g38scnj	23	38	decompose	decompose	VERB
cord-191574-1g38scnj	23	39	the	the	DET
cord-191574-1g38scnj	23	40	nonlinear	nonlinear	ADJ
cord-191574-1g38scnj	23	41	terms	term	NOUN
cord-191574-1g38scnj	23	42	appearing	appear	VERB
cord-191574-1g38scnj	23	43	in	in	ADP
cord-191574-1g38scnj	23	44	a	a	DET
cord-191574-1g38scnj	23	45	differential	differential	ADJ
cord-191574-1g38scnj	23	46	equation	equation	NOUN
cord-191574-1g38scnj	23	47	in	in	ADP
cord-191574-1g38scnj	23	48	terms	term	NOUN
cord-191574-1g38scnj	23	49	of	of	ADP
cord-191574-1g38scnj	23	50	the	the	DET
cord-191574-1g38scnj	23	51	adomian	adomian	ADJ
cord-191574-1g38scnj	23	52	polynomials	polynomial	NOUN
cord-191574-1g38scnj	23	53	,	,	PUNCT
cord-191574-1g38scnj	23	54	which	which	PRON
cord-191574-1g38scnj	23	55	are	be	AUX
cord-191574-1g38scnj	23	56	constructed	construct	VERB
cord-191574-1g38scnj	23	57	recursively	recursively	ADV
cord-191574-1g38scnj	23	58	.	.	PUNCT
cord-191574-1g38scnj	24	1	the	the	DET
cord-191574-1g38scnj	24	2	adomian	adomian	ADJ
cord-191574-1g38scnj	24	3	decomposition	decomposition	NOUN
cord-191574-1g38scnj	24	4	method	method	NOUN
cord-191574-1g38scnj	24	5	,	,	PUNCT
cord-191574-1g38scnj	24	6	as	as	ADV
cord-191574-1g38scnj	24	7	well	well	ADV
cord-191574-1g38scnj	24	8	as	as	ADP
cord-191574-1g38scnj	24	9	its	its	PRON
cord-191574-1g38scnj	24	10	very	very	ADV
cord-191574-1g38scnj	24	11	effective	effective	ADJ
cord-191574-1g38scnj	24	12	version	version	NOUN
cord-191574-1g38scnj	24	13	,	,	PUNCT
cord-191574-1g38scnj	24	14	the	the	DET
cord-191574-1g38scnj	24	15	laplace	laplace	NOUN
cord-191574-1g38scnj	24	16	-	-	PUNCT
cord-191574-1g38scnj	24	17	adomian	adomian	ADJ
cord-191574-1g38scnj	24	18	decomposition	decomposition	NOUN
cord-191574-1g38scnj	24	19	method	method	NOUN
cord-191574-1g38scnj	24	20	,	,	PUNCT
cord-191574-1g38scnj	24	21	has	have	AUX
cord-191574-1g38scnj	24	22	been	be	AUX
cord-191574-1g38scnj	24	23	extensively	extensively	ADV
cord-191574-1g38scnj	24	24	used	use	VERB
cord-191574-1g38scnj	24	25	to	to	PART
cord-191574-1g38scnj	24	26	study	study	VERB
cord-191574-1g38scnj	24	27	the	the	DET
cord-191574-1g38scnj	24	28	approximate	approximate	ADJ
cord-191574-1g38scnj	24	29	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	24	30	solutions	solution	NOUN
cord-191574-1g38scnj	24	31	of	of	ADP
cord-191574-1g38scnj	24	32	different	different	ADJ
cord-191574-1g38scnj	24	33	types	type	NOUN
cord-191574-1g38scnj	24	34	of	of	ADP
cord-191574-1g38scnj	24	35	differential	differential	ADJ
cord-191574-1g38scnj	24	36	equations	equation	NOUN
cord-191574-1g38scnj	24	37	,	,	PUNCT
cord-191574-1g38scnj	24	38	and	and	CCONJ
cord-191574-1g38scnj	24	39	physical	physical	ADJ
cord-191574-1g38scnj	24	40	models	model	NOUN
cord-191574-1g38scnj	24	41	[	[	X
cord-191574-1g38scnj	24	42	34	34	NUM
cord-191574-1g38scnj	24	43	]	]	PUNCT
cord-191574-1g38scnj	24	44	[	[	X
cord-191574-1g38scnj	24	45	35	35	NUM
cord-191574-1g38scnj	24	46	]	]	PUNCT
cord-191574-1g38scnj	24	47	[	[	X
cord-191574-1g38scnj	24	48	36	36	NUM
cord-191574-1g38scnj	24	49	]	]	PUNCT
cord-191574-1g38scnj	24	50	[	[	X
cord-191574-1g38scnj	24	51	37	37	NUM
cord-191574-1g38scnj	24	52	]	]	PUNCT
cord-191574-1g38scnj	25	1	[	[	X
cord-191574-1g38scnj	25	2	38	38	NUM
cord-191574-1g38scnj	25	3	]	]	PUNCT
cord-191574-1g38scnj	25	4	[	[	X
cord-191574-1g38scnj	25	5	39	39	NUM
cord-191574-1g38scnj	25	6	]	]	PUNCT
cord-191574-1g38scnj	25	7	.	.	PUNCT
cord-191574-1g38scnj	26	1	the	the	DET
cord-191574-1g38scnj	26	2	adomian	adomian	ADJ
cord-191574-1g38scnj	26	3	decomposition	decomposition	NOUN
cord-191574-1g38scnj	26	4	method	method	NOUN
cord-191574-1g38scnj	26	5	was	be	AUX
cord-191574-1g38scnj	26	6	used	use	VERB
cord-191574-1g38scnj	26	7	for	for	ADP
cord-191574-1g38scnj	26	8	the	the	DET
cord-191574-1g38scnj	26	9	study	study	NOUN
cord-191574-1g38scnj	26	10	of	of	ADP
cord-191574-1g38scnj	26	11	the	the	DET
cord-191574-1g38scnj	26	12	sir	sir	PROPN
cord-191574-1g38scnj	26	13	model	model	NOUN
cord-191574-1g38scnj	26	14	in	in	ADP
cord-191574-1g38scnj	26	15	[	[	X
cord-191574-1g38scnj	26	16	40	40	NUM
cord-191574-1g38scnj	26	17	]	]	PUNCT
cord-191574-1g38scnj	26	18	,	,	PUNCT
cord-191574-1g38scnj	26	19	while	while	SCONJ
cord-191574-1g38scnj	26	20	a	a	DET
cord-191574-1g38scnj	26	21	series	series	NOUN
cord-191574-1g38scnj	26	22	solution	solution	NOUN
cord-191574-1g38scnj	26	23	of	of	ADP
cord-191574-1g38scnj	26	24	the	the	DET
cord-191574-1g38scnj	26	25	sir	sir	PROPN
cord-191574-1g38scnj	26	26	model	model	NOUN
cord-191574-1g38scnj	26	27	by	by	ADP
cord-191574-1g38scnj	26	28	using	use	VERB
cord-191574-1g38scnj	26	29	the	the	DET
cord-191574-1g38scnj	26	30	laplace	laplace	NOUN
cord-191574-1g38scnj	26	31	-	-	PUNCT
cord-191574-1g38scnj	26	32	adomian	adomian	ADJ
cord-191574-1g38scnj	26	33	decomposition	decomposition	NOUN
cord-191574-1g38scnj	26	34	method	method	NOUN
cord-191574-1g38scnj	26	35	was	be	AUX
cord-191574-1g38scnj	26	36	obtained	obtain	VERB
cord-191574-1g38scnj	26	37	in	in	ADP
cord-191574-1g38scnj	26	38	[	[	X
cord-191574-1g38scnj	26	39	41	41	NUM
cord-191574-1g38scnj	26	40	]	]	PUNCT
cord-191574-1g38scnj	26	41	,	,	PUNCT
cord-191574-1g38scnj	26	42	where	where	SCONJ
cord-191574-1g38scnj	26	43	the	the	DET
cord-191574-1g38scnj	26	44	solutions	solution	NOUN
cord-191574-1g38scnj	26	45	have	have	AUX
cord-191574-1g38scnj	26	46	been	be	AUX
cord-191574-1g38scnj	26	47	expressed	express	VERB
cord-191574-1g38scnj	26	48	in	in	ADP
cord-191574-1g38scnj	26	49	the	the	DET
cord-191574-1g38scnj	26	50	form	form	NOUN
cord-191574-1g38scnj	26	51	of	of	ADP
cord-191574-1g38scnj	26	52	infinite	infinite	ADJ
cord-191574-1g38scnj	26	53	series	series	NOUN
cord-191574-1g38scnj	26	54	.	.	PUNCT
cord-191574-1g38scnj	27	1	the	the	DET
cord-191574-1g38scnj	27	2	series	series	NOUN
cord-191574-1g38scnj	27	3	representations	representation	NOUN
cord-191574-1g38scnj	27	4	of	of	ADP
cord-191574-1g38scnj	27	5	the	the	DET
cord-191574-1g38scnj	27	6	time	time	NOUN
cord-191574-1g38scnj	27	7	evolution	evolution	NOUN
cord-191574-1g38scnj	27	8	of	of	ADP
cord-191574-1g38scnj	27	9	the	the	DET
cord-191574-1g38scnj	27	10	sir	sir	PROPN
cord-191574-1g38scnj	27	11	compartments	compartment	NOUN
cord-191574-1g38scnj	27	12	obtained	obtain	VERB
cord-191574-1g38scnj	27	13	in	in	ADP
cord-191574-1g38scnj	27	14	[	[	X
cord-191574-1g38scnj	27	15	41	41	NUM
cord-191574-1g38scnj	27	16	]	]	PUNCT
cord-191574-1g38scnj	27	17	have	have	AUX
cord-191574-1g38scnj	27	18	been	be	AUX
cord-191574-1g38scnj	27	19	compared	compare	VERB
cord-191574-1g38scnj	27	20	with	with	ADP
cord-191574-1g38scnj	27	21	the	the	DET
cord-191574-1g38scnj	27	22	exact	exact	ADJ
cord-191574-1g38scnj	27	23	numerical	numerical	ADJ
cord-191574-1g38scnj	27	24	solutions	solution	NOUN
cord-191574-1g38scnj	27	25	of	of	ADP
cord-191574-1g38scnj	27	26	the	the	DET
cord-191574-1g38scnj	27	27	model	model	NOUN
cord-191574-1g38scnj	27	28	,	,	PUNCT
cord-191574-1g38scnj	27	29	and	and	CCONJ
cord-191574-1g38scnj	27	30	,	,	PUNCT
cord-191574-1g38scnj	27	31	for	for	ADP
cord-191574-1g38scnj	27	32	a	a	DET
cord-191574-1g38scnj	27	33	specific	specific	ADJ
cord-191574-1g38scnj	27	34	range	range	NOUN
cord-191574-1g38scnj	27	35	of	of	ADP
cord-191574-1g38scnj	27	36	the	the	DET
cord-191574-1g38scnj	27	37	model	model	NOUN
cord-191574-1g38scnj	27	38	parameters	parameter	NOUN
cord-191574-1g38scnj	27	39	,	,	PUNCT
cord-191574-1g38scnj	27	40	a	a	DET
cord-191574-1g38scnj	27	41	good	good	ADJ
cord-191574-1g38scnj	27	42	agreement	agreement	NOUN
cord-191574-1g38scnj	27	43	between	between	ADP
cord-191574-1g38scnj	27	44	the	the	DET
cord-191574-1g38scnj	27	45	laplace	laplace	NOUN
cord-191574-1g38scnj	27	46	-	-	PUNCT
cord-191574-1g38scnj	27	47	adomian	adomian	ADJ
cord-191574-1g38scnj	27	48	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	27	49	solutions	solution	NOUN
cord-191574-1g38scnj	27	50	,	,	PUNCT
cord-191574-1g38scnj	27	51	containing	contain	VERB
cord-191574-1g38scnj	27	52	only	only	ADV
cord-191574-1g38scnj	27	53	three	three	NUM
cord-191574-1g38scnj	27	54	terms	term	NOUN
cord-191574-1g38scnj	27	55	,	,	PUNCT
cord-191574-1g38scnj	27	56	and	and	CCONJ
cord-191574-1g38scnj	27	57	the	the	DET
cord-191574-1g38scnj	27	58	numerical	numerical	ADJ
cord-191574-1g38scnj	27	59	results	result	NOUN
cord-191574-1g38scnj	27	60	,	,	PUNCT
cord-191574-1g38scnj	27	61	was	be	AUX
cord-191574-1g38scnj	27	62	obtained	obtain	VERB
cord-191574-1g38scnj	27	63	.	.	PUNCT
cord-191574-1g38scnj	28	1	one	one	NUM
cord-191574-1g38scnj	28	2	of	of	ADP
cord-191574-1g38scnj	28	3	the	the	DET
cord-191574-1g38scnj	28	4	simplest	simple	ADJ
cord-191574-1g38scnj	28	5	generalizations	generalization	NOUN
cord-191574-1g38scnj	28	6	of	of	ADP
cord-191574-1g38scnj	28	7	the	the	DET
cord-191574-1g38scnj	28	8	sir	sir	PROPN
cord-191574-1g38scnj	28	9	model	model	NOUN
cord-191574-1g38scnj	28	10	is	be	AUX
cord-191574-1g38scnj	28	11	given	give	VERB
cord-191574-1g38scnj	28	12	by	by	ADP
cord-191574-1g38scnj	28	13	the	the	DET
cord-191574-1g38scnj	28	14	sir	sir	PROPN
cord-191574-1g38scnj	28	15	model	model	NOUN
cord-191574-1g38scnj	28	16	with	with	ADP
cord-191574-1g38scnj	28	17	vital	vital	ADJ
cord-191574-1g38scnj	28	18	dynamics	dynamic	NOUN
cord-191574-1g38scnj	28	19	[	[	PUNCT
cord-191574-1g38scnj	28	20	1	1	NUM
cord-191574-1g38scnj	28	21	,	,	PUNCT
cord-191574-1g38scnj	28	22	2	2	NUM
cord-191574-1g38scnj	28	23	,	,	PUNCT
cord-191574-1g38scnj	28	24	4	4	NUM
cord-191574-1g38scnj	28	25	,	,	PUNCT
cord-191574-1g38scnj	28	26	6	6	NUM
cord-191574-1g38scnj	28	27	]	]	PUNCT
cord-191574-1g38scnj	28	28	,	,	PUNCT
cord-191574-1g38scnj	28	29	in	in	ADP
cord-191574-1g38scnj	28	30	which	which	PRON
cord-191574-1g38scnj	28	31	the	the	DET
cord-191574-1g38scnj	28	32	number	number	NOUN
cord-191574-1g38scnj	28	33	of	of	ADP
cord-191574-1g38scnj	28	34	deaths	death	NOUN
cord-191574-1g38scnj	28	35	and	and	CCONJ
cord-191574-1g38scnj	28	36	births	birth	NOUN
cord-191574-1g38scnj	28	37	is	be	AUX
cord-191574-1g38scnj	28	38	included	include	VERB
cord-191574-1g38scnj	28	39	in	in	ADP
cord-191574-1g38scnj	28	40	the	the	DET
cord-191574-1g38scnj	28	41	model	model	NOUN
cord-191574-1g38scnj	28	42	via	via	ADP
cord-191574-1g38scnj	28	43	a	a	DET
cord-191574-1g38scnj	28	44	new	new	ADJ
cord-191574-1g38scnj	28	45	constant	constant	ADJ
cord-191574-1g38scnj	28	46	µ.	µ.	NOUN
cord-191574-1g38scnj	28	47	usually	usually	ADV
cord-191574-1g38scnj	28	48	it	it	PRON
cord-191574-1g38scnj	28	49	is	be	AUX
cord-191574-1g38scnj	28	50	assumed	assume	VERB
cord-191574-1g38scnj	28	51	that	that	SCONJ
cord-191574-1g38scnj	28	52	the	the	DET
cord-191574-1g38scnj	28	53	death	death	NOUN
cord-191574-1g38scnj	28	54	rate	rate	NOUN
cord-191574-1g38scnj	28	55	is	be	AUX
cord-191574-1g38scnj	28	56	equal	equal	ADJ
cord-191574-1g38scnj	28	57	to	to	ADP
cord-191574-1g38scnj	28	58	the	the	DET
cord-191574-1g38scnj	28	59	birth	birth	NOUN
cord-191574-1g38scnj	28	60	rate	rate	NOUN
cord-191574-1g38scnj	28	61	.	.	PUNCT
cord-191574-1g38scnj	29	1	even	even	ADV
cord-191574-1g38scnj	29	2	if	if	SCONJ
cord-191574-1g38scnj	29	3	the	the	DET
cord-191574-1g38scnj	29	4	mathematical	mathematical	ADJ
cord-191574-1g38scnj	29	5	modifications	modification	NOUN
cord-191574-1g38scnj	29	6	of	of	ADP
cord-191574-1g38scnj	29	7	the	the	DET
cord-191574-1g38scnj	29	8	initial	initial	ADJ
cord-191574-1g38scnj	29	9	sir	sir	NOUN
cord-191574-1g38scnj	29	10	model	model	NOUN
cord-191574-1g38scnj	29	11	with	with	ADP
cord-191574-1g38scnj	29	12	µ	µ	PROPN
cord-191574-1g38scnj	29	13	=	=	X
cord-191574-1g38scnj	29	14	0	0	X
cord-191574-1g38scnj	29	15	look	look	NOUN
cord-191574-1g38scnj	29	16	,	,	PUNCT
cord-191574-1g38scnj	29	17	at	at	ADP
cord-191574-1g38scnj	29	18	first	first	ADJ
cord-191574-1g38scnj	29	19	sight	sight	NOUN
cord-191574-1g38scnj	29	20	,	,	PUNCT
cord-191574-1g38scnj	29	21	minimal	minimal	ADJ
cord-191574-1g38scnj	29	22	,	,	PUNCT
cord-191574-1g38scnj	29	23	the	the	DET
cord-191574-1g38scnj	29	24	sir	sir	PROPN
cord-191574-1g38scnj	29	25	model	model	NOUN
cord-191574-1g38scnj	29	26	with	with	ADP
cord-191574-1g38scnj	29	27	vital	vital	ADJ
cord-191574-1g38scnj	29	28	dynamics	dynamic	NOUN
cord-191574-1g38scnj	29	29	has	have	VERB
cord-191574-1g38scnj	29	30	very	very	ADV
cord-191574-1g38scnj	29	31	important	important	ADJ
cord-191574-1g38scnj	29	32	differences	difference	NOUN
cord-191574-1g38scnj	29	33	as	as	ADP
cord-191574-1g38scnj	29	34	compared	compare	VERB
cord-191574-1g38scnj	29	35	to	to	ADP
cord-191574-1g38scnj	29	36	the	the	DET
cord-191574-1g38scnj	29	37	sir	sir	PROPN
cord-191574-1g38scnj	29	38	model	model	NOUN
cord-191574-1g38scnj	29	39	(	(	PUNCT
cord-191574-1g38scnj	29	40	1	1	NUM
cord-191574-1g38scnj	29	41	)	)	PUNCT
cord-191574-1g38scnj	29	42	.	.	PUNCT
cord-191574-1g38scnj	30	1	the	the	DET
cord-191574-1g38scnj	30	2	sir	sir	PROPN
cord-191574-1g38scnj	30	3	model	model	NOUN
cord-191574-1g38scnj	30	4	without	without	ADP
cord-191574-1g38scnj	30	5	vital	vital	ADJ
cord-191574-1g38scnj	30	6	dynamics	dynamic	NOUN
cord-191574-1g38scnj	30	7	with	with	ADP
cord-191574-1g38scnj	30	8	µ	µ	PROPN
cord-191574-1g38scnj	30	9	=	=	NOUN
cord-191574-1g38scnj	30	10	0	0	NUM
cord-191574-1g38scnj	30	11	,	,	PUNCT
cord-191574-1g38scnj	30	12	has	have	VERB
cord-191574-1g38scnj	30	13	a	a	DET
cord-191574-1g38scnj	30	14	first	first	ADJ
cord-191574-1g38scnj	30	15	integral	integral	ADJ
cord-191574-1g38scnj	30	16	n	n	NOUN
cord-191574-1g38scnj	30	17	=	=	SYM
cord-191574-1g38scnj	30	18	s	s	NOUN
cord-191574-1g38scnj	31	1	+	+	X
cord-191574-1g38scnj	31	2	i	i	PRON
cord-191574-1g38scnj	31	3	+	+	NOUN
cord-191574-1g38scnj	32	1	r	r	NOUN
cord-191574-1g38scnj	32	2	,	,	PUNCT
cord-191574-1g38scnj	32	3	which	which	PRON
cord-191574-1g38scnj	32	4	is	be	AUX
cord-191574-1g38scnj	32	5	the	the	DET
cord-191574-1g38scnj	32	6	total	total	ADJ
cord-191574-1g38scnj	32	7	number	number	NOUN
cord-191574-1g38scnj	32	8	of	of	ADP
cord-191574-1g38scnj	32	9	individuals	individual	NOUN
cord-191574-1g38scnj	32	10	in	in	ADP
cord-191574-1g38scnj	32	11	the	the	DET
cord-191574-1g38scnj	32	12	given	give	VERB
cord-191574-1g38scnj	32	13	population	population	NOUN
cord-191574-1g38scnj	32	14	.	.	PUNCT
cord-191574-1g38scnj	33	1	moreover	moreover	ADV
cord-191574-1g38scnj	33	2	,	,	PUNCT
cord-191574-1g38scnj	33	3	it	it	PRON
cord-191574-1g38scnj	33	4	also	also	ADV
cord-191574-1g38scnj	33	5	has	have	VERB
cord-191574-1g38scnj	33	6	a	a	DET
cord-191574-1g38scnj	33	7	second	second	ADJ
cord-191574-1g38scnj	33	8	first	first	ADJ
cord-191574-1g38scnj	33	9	integral	integral	ADJ
cord-191574-1g38scnj	33	10	g(s	g(s	NOUN
cord-191574-1g38scnj	33	11	,	,	PUNCT
cord-191574-1g38scnj	33	12	i	i	PRON
cord-191574-1g38scnj	33	13	,	,	PUNCT
cord-191574-1g38scnj	33	14	r	r	NOUN
cord-191574-1g38scnj	33	15	)	)	PUNCT
cord-191574-1g38scnj	33	16	=	=	NOUN
cord-191574-1g38scnj	33	17	β	β	NOUN
cord-191574-1g38scnj	34	1	r	r	NOUN
cord-191574-1g38scnj	35	1	+	+	CCONJ
cord-191574-1g38scnj	35	2	γ	γ	NOUN
cord-191574-1g38scnj	35	3	ln	ln	NOUN
cord-191574-1g38scnj	35	4	s	s	PUNCT
cord-191574-1g38scnj	36	1	[	[	X
cord-191574-1g38scnj	36	2	42	42	NUM
cord-191574-1g38scnj	36	3	]	]	PUNCT
cord-191574-1g38scnj	36	4	.	.	PUNCT
cord-191574-1g38scnj	37	1	hence	hence	ADV
cord-191574-1g38scnj	37	2	the	the	DET
cord-191574-1g38scnj	37	3	sir	sir	PROPN
cord-191574-1g38scnj	37	4	system	system	NOUN
cord-191574-1g38scnj	37	5	with	with	ADP
cord-191574-1g38scnj	37	6	µ	µ	PROPN
cord-191574-1g38scnj	37	7	=	=	NOUN
cord-191574-1g38scnj	37	8	0	0	NUM
cord-191574-1g38scnj	37	9	is	be	AUX
cord-191574-1g38scnj	37	10	a	a	DET
cord-191574-1g38scnj	37	11	completely	completely	ADV
cord-191574-1g38scnj	37	12	integrable	integrable	ADJ
cord-191574-1g38scnj	37	13	system	system	NOUN
cord-191574-1g38scnj	37	14	with	with	ADP
cord-191574-1g38scnj	37	15	two	two	NUM
cord-191574-1g38scnj	37	16	functionally	functionally	ADV
cord-191574-1g38scnj	37	17	independent	independent	ADJ
cord-191574-1g38scnj	37	18	first	first	ADJ
cord-191574-1g38scnj	37	19	integrals	integral	NOUN
cord-191574-1g38scnj	37	20	.	.	PUNCT
cord-191574-1g38scnj	38	1	on	on	ADP
cord-191574-1g38scnj	38	2	the	the	DET
cord-191574-1g38scnj	38	3	other	other	ADJ
cord-191574-1g38scnj	38	4	hand	hand	NOUN
cord-191574-1g38scnj	38	5	in	in	ADP
cord-191574-1g38scnj	38	6	the	the	DET
cord-191574-1g38scnj	38	7	case	case	NOUN
cord-191574-1g38scnj	38	8	of	of	ADP
cord-191574-1g38scnj	38	9	µ	µ	PROPN
cord-191574-1g38scnj	38	10	=	=	NOUN
cord-191574-1g38scnj	38	11	0	0	NUM
cord-191574-1g38scnj	38	12	,	,	PUNCT
cord-191574-1g38scnj	38	13	in	in	ADP
cord-191574-1g38scnj	38	14	[	[	X
cord-191574-1g38scnj	38	15	42	42	NUM
cord-191574-1g38scnj	38	16	]	]	PUNCT
cord-191574-1g38scnj	38	17	it	it	PRON
cord-191574-1g38scnj	38	18	was	be	AUX
cord-191574-1g38scnj	38	19	proved	prove	VERB
cord-191574-1g38scnj	38	20	that	that	SCONJ
cord-191574-1g38scnj	38	21	the	the	DET
cord-191574-1g38scnj	38	22	sir	sir	PROPN
cord-191574-1g38scnj	38	23	model	model	NOUN
cord-191574-1g38scnj	38	24	has	have	VERB
cord-191574-1g38scnj	38	25	no	no	DET
cord-191574-1g38scnj	38	26	polynomial	polynomial	ADJ
cord-191574-1g38scnj	38	27	or	or	CCONJ
cord-191574-1g38scnj	38	28	proper	proper	ADJ
cord-191574-1g38scnj	38	29	rational	rational	ADJ
cord-191574-1g38scnj	38	30	first	first	ADJ
cord-191574-1g38scnj	38	31	integrals	integral	NOUN
cord-191574-1g38scnj	38	32	.	.	PUNCT
cord-191574-1g38scnj	39	1	this	this	DET
cord-191574-1g38scnj	39	2	result	result	NOUN
cord-191574-1g38scnj	39	3	is	be	AUX
cord-191574-1g38scnj	39	4	obtained	obtain	VERB
cord-191574-1g38scnj	39	5	by	by	ADP
cord-191574-1g38scnj	39	6	studying	study	VERB
cord-191574-1g38scnj	39	7	the	the	DET
cord-191574-1g38scnj	39	8	invariant	invariant	ADJ
cord-191574-1g38scnj	39	9	algebraic	algebraic	NOUN
cord-191574-1g38scnj	39	10	surfaces	surface	NOUN
cord-191574-1g38scnj	39	11	.	.	PUNCT
cord-191574-1g38scnj	40	1	moreover	moreover	ADV
cord-191574-1g38scnj	40	2	,	,	PUNCT
cord-191574-1g38scnj	40	3	although	although	SCONJ
cord-191574-1g38scnj	40	4	the	the	DET
cord-191574-1g38scnj	40	5	sir	sir	PROPN
cord-191574-1g38scnj	40	6	model	model	NOUN
cord-191574-1g38scnj	40	7	with	with	ADP
cord-191574-1g38scnj	40	8	µ	µ	PROPN
cord-191574-1g38scnj	40	9	=	=	NOUN
cord-191574-1g38scnj	40	10	0	0	NUM
cord-191574-1g38scnj	40	11	is	be	AUX
cord-191574-1g38scnj	40	12	not	not	PART
cord-191574-1g38scnj	40	13	integrable	integrable	ADJ
cord-191574-1g38scnj	40	14	,	,	PUNCT
cord-191574-1g38scnj	40	15	and	and	CCONJ
cord-191574-1g38scnj	40	16	hence	hence	ADV
cord-191574-1g38scnj	40	17	it	it	PRON
cord-191574-1g38scnj	40	18	does	do	AUX
cord-191574-1g38scnj	40	19	not	not	PART
cord-191574-1g38scnj	40	20	have	have	VERB
cord-191574-1g38scnj	40	21	an	an	DET
cord-191574-1g38scnj	40	22	exact	exact	ADJ
cord-191574-1g38scnj	40	23	solution	solution	NOUN
cord-191574-1g38scnj	40	24	,	,	PUNCT
cord-191574-1g38scnj	40	25	the	the	DET
cord-191574-1g38scnj	40	26	global	global	ADJ
cord-191574-1g38scnj	40	27	dynamics	dynamic	NOUN
cord-191574-1g38scnj	40	28	of	of	ADP
cord-191574-1g38scnj	40	29	the	the	DET
cord-191574-1g38scnj	40	30	sir	sir	PROPN
cord-191574-1g38scnj	40	31	model	model	NOUN
cord-191574-1g38scnj	40	32	with	with	ADP
cord-191574-1g38scnj	40	33	vital	vital	ADJ
cord-191574-1g38scnj	40	34	dynamics	dynamic	NOUN
cord-191574-1g38scnj	40	35	can	can	AUX
cord-191574-1g38scnj	40	36	be	be	AUX
cord-191574-1g38scnj	40	37	studied	study	VERB
cord-191574-1g38scnj	40	38	based	base	VERB
cord-191574-1g38scnj	40	39	on	on	ADP
cord-191574-1g38scnj	40	40	the	the	DET
cord-191574-1g38scnj	40	41	existence	existence	NOUN
cord-191574-1g38scnj	40	42	of	of	ADP
cord-191574-1g38scnj	40	43	an	an	DET
cord-191574-1g38scnj	40	44	invariant	invariant	ADJ
cord-191574-1g38scnj	40	45	algebraic	algebraic	ADJ
cord-191574-1g38scnj	40	46	surface	surface	NOUN
cord-191574-1g38scnj	40	47	.	.	PUNCT
cord-191574-1g38scnj	41	1	in	in	ADP
cord-191574-1g38scnj	41	2	[	[	X
cord-191574-1g38scnj	41	3	25	25	NUM
cord-191574-1g38scnj	41	4	]	]	PUNCT
cord-191574-1g38scnj	41	5	it	it	PRON
cord-191574-1g38scnj	41	6	was	be	AUX
cord-191574-1g38scnj	41	7	shown	show	VERB
cord-191574-1g38scnj	41	8	that	that	SCONJ
cord-191574-1g38scnj	41	9	the	the	DET
cord-191574-1g38scnj	41	10	generalization	generalization	NOUN
cord-191574-1g38scnj	41	11	of	of	ADP
cord-191574-1g38scnj	41	12	the	the	DET
cord-191574-1g38scnj	41	13	sir	sir	PROPN
cord-191574-1g38scnj	41	14	model	model	NOUN
cord-191574-1g38scnj	41	15	with	with	ADP
cord-191574-1g38scnj	41	16	µ	µ	PROPN
cord-191574-1g38scnj	41	17	=	=	NOUN
cord-191574-1g38scnj	41	18	0	0	NUM
cord-191574-1g38scnj	41	19	,	,	PUNCT
cord-191574-1g38scnj	41	20	including	include	VERB
cord-191574-1g38scnj	41	21	births	birth	NOUN
cord-191574-1g38scnj	41	22	and	and	CCONJ
cord-191574-1g38scnj	41	23	deaths	death	NOUN
cord-191574-1g38scnj	41	24	,	,	PUNCT
cord-191574-1g38scnj	41	25	and	and	CCONJ
cord-191574-1g38scnj	41	26	described	describe	VERB
cord-191574-1g38scnj	41	27	by	by	ADP
cord-191574-1g38scnj	41	28	a	a	DET
cord-191574-1g38scnj	41	29	nonlinear	nonlinear	ADJ
cord-191574-1g38scnj	41	30	system	system	NOUN
cord-191574-1g38scnj	41	31	of	of	ADP
cord-191574-1g38scnj	41	32	differential	differential	ADJ
cord-191574-1g38scnj	41	33	equations	equation	NOUN
cord-191574-1g38scnj	41	34	,	,	PUNCT
cord-191574-1g38scnj	41	35	can	can	AUX
cord-191574-1g38scnj	41	36	be	be	AUX
cord-191574-1g38scnj	41	37	reduced	reduce	VERB
cord-191574-1g38scnj	41	38	to	to	ADP
cord-191574-1g38scnj	41	39	an	an	DET
cord-191574-1g38scnj	41	40	abel	abel	NOUN
cord-191574-1g38scnj	41	41	type	type	NOUN
cord-191574-1g38scnj	41	42	equation	equation	NOUN
cord-191574-1g38scnj	41	43	.	.	PUNCT
cord-191574-1g38scnj	42	1	the	the	DET
cord-191574-1g38scnj	42	2	reduction	reduction	NOUN
cord-191574-1g38scnj	42	3	of	of	ADP
cord-191574-1g38scnj	42	4	the	the	DET
cord-191574-1g38scnj	42	5	sir	sir	PROPN
cord-191574-1g38scnj	42	6	model	model	NOUN
cord-191574-1g38scnj	42	7	with	with	ADP
cord-191574-1g38scnj	42	8	vital	vital	ADJ
cord-191574-1g38scnj	42	9	dynamics	dynamic	NOUN
cord-191574-1g38scnj	42	10	to	to	ADP
cord-191574-1g38scnj	42	11	an	an	DET
cord-191574-1g38scnj	42	12	abel	abel	NOUN
cord-191574-1g38scnj	42	13	type	type	NOUN
cord-191574-1g38scnj	42	14	first	first	ADJ
cord-191574-1g38scnj	42	15	order	order	NOUN
cord-191574-1g38scnj	42	16	differential	differential	ADJ
cord-191574-1g38scnj	42	17	equation	equation	NOUN
cord-191574-1g38scnj	42	18	greatly	greatly	ADV
cord-191574-1g38scnj	42	19	simplifies	simplify	VERB
cord-191574-1g38scnj	42	20	the	the	DET
cord-191574-1g38scnj	42	21	analysis	analysis	NOUN
cord-191574-1g38scnj	42	22	of	of	ADP
cord-191574-1g38scnj	42	23	its	its	PRON
cord-191574-1g38scnj	42	24	properties	property	NOUN
cord-191574-1g38scnj	42	25	.	.	PUNCT
cord-191574-1g38scnj	43	1	an	an	DET
cord-191574-1g38scnj	43	2	approximate	approximate	ADJ
cord-191574-1g38scnj	43	3	solution	solution	NOUN
cord-191574-1g38scnj	43	4	of	of	ADP
cord-191574-1g38scnj	43	5	the	the	DET
cord-191574-1g38scnj	43	6	abel	abel	NOUN
cord-191574-1g38scnj	43	7	equation	equation	NOUN
cord-191574-1g38scnj	43	8	was	be	AUX
cord-191574-1g38scnj	43	9	obtained	obtain	VERB
cord-191574-1g38scnj	43	10	by	by	ADP
cord-191574-1g38scnj	43	11	using	use	VERB
cord-191574-1g38scnj	43	12	a	a	DET
cord-191574-1g38scnj	43	13	perturbative	perturbative	ADJ
cord-191574-1g38scnj	43	14	approach	approach	NOUN
cord-191574-1g38scnj	43	15	,	,	PUNCT
cord-191574-1g38scnj	43	16	in	in	ADP
cord-191574-1g38scnj	43	17	a	a	DET
cord-191574-1g38scnj	43	18	power	power	NOUN
cord-191574-1g38scnj	43	19	series	series	NOUN
cord-191574-1g38scnj	43	20	form	form	NOUN
cord-191574-1g38scnj	43	21	.	.	PUNCT
cord-191574-1g38scnj	44	1	moreover	moreover	ADV
cord-191574-1g38scnj	44	2	,	,	PUNCT
cord-191574-1g38scnj	44	3	the	the	DET
cord-191574-1g38scnj	44	4	general	general	ADJ
cord-191574-1g38scnj	44	5	solution	solution	NOUN
cord-191574-1g38scnj	44	6	of	of	ADP
cord-191574-1g38scnj	44	7	the	the	DET
cord-191574-1g38scnj	44	8	sir	sir	PROPN
cord-191574-1g38scnj	44	9	model	model	NOUN
cord-191574-1g38scnj	44	10	with	with	ADP
cord-191574-1g38scnj	44	11	vital	vital	ADJ
cord-191574-1g38scnj	44	12	dynamics	dynamic	NOUN
cord-191574-1g38scnj	44	13	can	can	AUX
cord-191574-1g38scnj	44	14	be	be	AUX
cord-191574-1g38scnj	44	15	represented	represent	VERB
cord-191574-1g38scnj	44	16	in	in	ADP
cord-191574-1g38scnj	44	17	an	an	DET
cord-191574-1g38scnj	44	18	exact	exact	ADJ
cord-191574-1g38scnj	44	19	parametric	parametric	ADJ
cord-191574-1g38scnj	44	20	form	form	NOUN
cord-191574-1g38scnj	44	21	.	.	PUNCT
cord-191574-1g38scnj	45	1	in	in	ADP
cord-191574-1g38scnj	45	2	the	the	DET
cord-191574-1g38scnj	45	3	present	present	ADJ
cord-191574-1g38scnj	45	4	work	work	NOUN
cord-191574-1g38scnj	45	5	we	we	PRON
cord-191574-1g38scnj	45	6	consider	consider	VERB
cord-191574-1g38scnj	45	7	the	the	DET
cord-191574-1g38scnj	45	8	possibility	possibility	NOUN
cord-191574-1g38scnj	45	9	of	of	ADP
cord-191574-1g38scnj	45	10	obtaining	obtain	VERB
cord-191574-1g38scnj	45	11	some	some	DET
cord-191574-1g38scnj	45	12	accurate	accurate	ADJ
cord-191574-1g38scnj	45	13	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	45	14	solutions	solution	NOUN
cord-191574-1g38scnj	45	15	of	of	ADP
cord-191574-1g38scnj	45	16	the	the	DET
cord-191574-1g38scnj	45	17	equations	equation	NOUN
cord-191574-1g38scnj	45	18	of	of	ADP
cord-191574-1g38scnj	45	19	the	the	DET
cord-191574-1g38scnj	45	20	sir	sir	PROPN
cord-191574-1g38scnj	45	21	model	model	NOUN
cord-191574-1g38scnj	45	22	with	with	ADP
cord-191574-1g38scnj	45	23	vital	vital	ADJ
cord-191574-1g38scnj	45	24	dynamics	dynamic	NOUN
cord-191574-1g38scnj	45	25	by	by	ADP
cord-191574-1g38scnj	45	26	using	use	VERB
cord-191574-1g38scnj	45	27	the	the	DET
cord-191574-1g38scnj	45	28	adomian	adomian	NOUN
cord-191574-1g38scnj	45	29	and	and	CCONJ
cord-191574-1g38scnj	45	30	the	the	DET
cord-191574-1g38scnj	45	31	laplace	laplace	NOUN
cord-191574-1g38scnj	45	32	-	-	PUNCT
cord-191574-1g38scnj	45	33	adomian	adomian	ADJ
cord-191574-1g38scnj	45	34	decomposition	decomposition	NOUN
cord-191574-1g38scnj	45	35	methods	method	NOUN
cord-191574-1g38scnj	45	36	,	,	PUNCT
cord-191574-1g38scnj	45	37	respectively	respectively	ADV
cord-191574-1g38scnj	45	38	.	.	PUNCT
cord-191574-1g38scnj	46	1	as	as	ADP
cord-191574-1g38scnj	46	2	a	a	DET
cord-191574-1g38scnj	46	3	first	first	ADJ
cord-191574-1g38scnj	46	4	step	step	NOUN
cord-191574-1g38scnj	46	5	in	in	ADP
cord-191574-1g38scnj	46	6	our	our	PRON
cord-191574-1g38scnj	46	7	analysis	analysis	NOUN
cord-191574-1g38scnj	46	8	we	we	PRON
cord-191574-1g38scnj	46	9	reduce	reduce	VERB
cord-191574-1g38scnj	46	10	the	the	DET
cord-191574-1g38scnj	46	11	sir	sir	PROPN
cord-191574-1g38scnj	46	12	model	model	NOUN
cord-191574-1g38scnj	46	13	with	with	ADP
cord-191574-1g38scnj	46	14	µ	µ	PROPN
cord-191574-1g38scnj	46	15	=	=	NOUN
cord-191574-1g38scnj	46	16	0	0	NUM
cord-191574-1g38scnj	46	17	to	to	ADP
cord-191574-1g38scnj	46	18	a	a	DET
cord-191574-1g38scnj	46	19	basic	basic	ADJ
cord-191574-1g38scnj	46	20	second	second	ADJ
cord-191574-1g38scnj	46	21	order	order	NOUN
cord-191574-1g38scnj	46	22	differential	differential	ADJ
cord-191574-1g38scnj	46	23	equation	equation	NOUN
cord-191574-1g38scnj	46	24	,	,	PUNCT
cord-191574-1g38scnj	46	25	describing	describe	VERB
cord-191574-1g38scnj	46	26	the	the	DET
cord-191574-1g38scnj	46	27	evolution	evolution	NOUN
cord-191574-1g38scnj	46	28	of	of	ADP
cord-191574-1g38scnj	46	29	the	the	DET
cord-191574-1g38scnj	46	30	individuals	individual	NOUN
cord-191574-1g38scnj	46	31	infected	infect	VERB
cord-191574-1g38scnj	46	32	with	with	ADP
cord-191574-1g38scnj	46	33	the	the	DET
cord-191574-1g38scnj	46	34	disease	disease	NOUN
cord-191574-1g38scnj	46	35	.	.	PUNCT
cord-191574-1g38scnj	47	1	then	then	ADV
cord-191574-1g38scnj	47	2	,	,	PUNCT
cord-191574-1g38scnj	47	3	once	once	ADV
cord-191574-1g38scnj	47	4	the	the	DET
cord-191574-1g38scnj	47	5	solution	solution	NOUN
cord-191574-1g38scnj	47	6	of	of	ADP
cord-191574-1g38scnj	47	7	the	the	DET
cord-191574-1g38scnj	47	8	basic	basic	ADJ
cord-191574-1g38scnj	47	9	equation	equation	NOUN
cord-191574-1g38scnj	47	10	is	be	AUX
cord-191574-1g38scnj	47	11	known	know	VERB
cord-191574-1g38scnj	47	12	,	,	PUNCT
cord-191574-1g38scnj	47	13	the	the	DET
cord-191574-1g38scnj	47	14	general	general	ADJ
cord-191574-1g38scnj	47	15	solution	solution	NOUN
cord-191574-1g38scnj	47	16	of	of	ADP
cord-191574-1g38scnj	47	17	the	the	DET
cord-191574-1g38scnj	47	18	sir	sir	PROPN
cord-191574-1g38scnj	47	19	model	model	NOUN
cord-191574-1g38scnj	47	20	with	with	ADP
cord-191574-1g38scnj	47	21	vital	vital	ADJ
cord-191574-1g38scnj	47	22	dynamics	dynamic	NOUN
cord-191574-1g38scnj	47	23	can	can	AUX
cord-191574-1g38scnj	47	24	be	be	AUX
cord-191574-1g38scnj	47	25	obtained	obtain	VERB
cord-191574-1g38scnj	47	26	in	in	ADP
cord-191574-1g38scnj	47	27	terms	term	NOUN
cord-191574-1g38scnj	47	28	of	of	ADP
cord-191574-1g38scnj	47	29	the	the	DET
cord-191574-1g38scnj	47	30	variable	variable	ADJ
cord-191574-1g38scnj	47	31	u	u	NOUN
cord-191574-1g38scnj	47	32	related	relate	VERB
cord-191574-1g38scnj	47	33	to	to	ADP
cord-191574-1g38scnj	47	34	the	the	DET
cord-191574-1g38scnj	47	35	number	number	NOUN
cord-191574-1g38scnj	47	36	y	y	NOUN
cord-191574-1g38scnj	47	37	of	of	ADP
cord-191574-1g38scnj	47	38	the	the	DET
cord-191574-1g38scnj	47	39	infected	infect	VERB
cord-191574-1g38scnj	47	40	individuals	individual	NOUN
cord-191574-1g38scnj	47	41	.	.	PUNCT
cord-191574-1g38scnj	48	1	in	in	ADP
cord-191574-1g38scnj	48	2	order	order	NOUN
cord-191574-1g38scnj	48	3	to	to	PART
cord-191574-1g38scnj	48	4	obtain	obtain	VERB
cord-191574-1g38scnj	48	5	some	some	DET
cord-191574-1g38scnj	48	6	approximate	approximate	ADJ
cord-191574-1g38scnj	48	7	solutions	solution	NOUN
cord-191574-1g38scnj	48	8	of	of	ADP
cord-191574-1g38scnj	48	9	the	the	DET
cord-191574-1g38scnj	48	10	basic	basic	ADJ
cord-191574-1g38scnj	48	11	evolution	evolution	NOUN
cord-191574-1g38scnj	48	12	equation	equation	NOUN
cord-191574-1g38scnj	48	13	we	we	PRON
cord-191574-1g38scnj	48	14	will	will	AUX
cord-191574-1g38scnj	48	15	apply	apply	VERB
cord-191574-1g38scnj	48	16	to	to	ADP
cord-191574-1g38scnj	48	17	it	it	PRON
cord-191574-1g38scnj	48	18	both	both	CCONJ
cord-191574-1g38scnj	48	19	the	the	DET
cord-191574-1g38scnj	48	20	adomian	adomian	NOUN
cord-191574-1g38scnj	48	21	and	and	CCONJ
cord-191574-1g38scnj	48	22	the	the	DET
cord-191574-1g38scnj	48	23	laplace	laplace	NOUN
cord-191574-1g38scnj	48	24	-	-	PUNCT
cord-191574-1g38scnj	48	25	adomian	adomian	ADJ
cord-191574-1g38scnj	48	26	decomposition	decomposition	NOUN
cord-191574-1g38scnj	48	27	methods	method	NOUN
cord-191574-1g38scnj	48	28	,	,	PUNCT
cord-191574-1g38scnj	48	29	we	we	PRON
cord-191574-1g38scnj	48	30	obtain	obtain	VERB
cord-191574-1g38scnj	48	31	in	in	ADP
cord-191574-1g38scnj	48	32	each	each	DET
cord-191574-1g38scnj	48	33	case	case	NOUN
cord-191574-1g38scnj	48	34	the	the	DET
cord-191574-1g38scnj	48	35	recurrence	recurrence	NOUN
cord-191574-1g38scnj	48	36	relations	relation	NOUN
cord-191574-1g38scnj	48	37	giving	give	VERB
cord-191574-1g38scnj	48	38	the	the	DET
cord-191574-1g38scnj	48	39	successive	successive	ADJ
cord-191574-1g38scnj	48	40	terms	term	NOUN
cord-191574-1g38scnj	48	41	in	in	ADP
cord-191574-1g38scnj	48	42	the	the	DET
cord-191574-1g38scnj	48	43	adomian	adomian	ADJ
cord-191574-1g38scnj	48	44	series	series	NOUN
cord-191574-1g38scnj	48	45	representation	representation	NOUN
cord-191574-1g38scnj	48	46	as	as	ADP
cord-191574-1g38scnj	48	47	a	a	DET
cord-191574-1g38scnj	48	48	function	function	NOUN
cord-191574-1g38scnj	48	49	of	of	ADP
cord-191574-1g38scnj	48	50	the	the	DET
cord-191574-1g38scnj	48	51	adomian	adomian	ADJ
cord-191574-1g38scnj	48	52	polynomials	polynomial	NOUN
cord-191574-1g38scnj	48	53	.	.	PUNCT
cord-191574-1g38scnj	49	1	in	in	ADP
cord-191574-1g38scnj	49	2	the	the	DET
cord-191574-1g38scnj	49	3	case	case	NOUN
cord-191574-1g38scnj	49	4	of	of	ADP
cord-191574-1g38scnj	49	5	the	the	DET
cord-191574-1g38scnj	49	6	adomian	adomian	ADJ
cord-191574-1g38scnj	49	7	decomposition	decomposition	NOUN
cord-191574-1g38scnj	49	8	method	method	NOUN
cord-191574-1g38scnj	49	9	the	the	DET
cord-191574-1g38scnj	49	10	iterative	iterative	ADJ
cord-191574-1g38scnj	49	11	solution	solution	NOUN
cord-191574-1g38scnj	49	12	can	can	AUX
cord-191574-1g38scnj	49	13	be	be	AUX
cord-191574-1g38scnj	49	14	evaluated	evaluate	VERB
cord-191574-1g38scnj	49	15	exactly	exactly	ADV
cord-191574-1g38scnj	49	16	only	only	ADV
cord-191574-1g38scnj	49	17	for	for	ADP
cord-191574-1g38scnj	49	18	the	the	DET
cord-191574-1g38scnj	49	19	first	first	ADJ
cord-191574-1g38scnj	49	20	two	two	NUM
cord-191574-1g38scnj	49	21	terms	term	NOUN
cord-191574-1g38scnj	49	22	of	of	ADP
cord-191574-1g38scnj	49	23	the	the	DET
cord-191574-1g38scnj	49	24	series	series	NOUN
cord-191574-1g38scnj	49	25	expansion	expansion	NOUN
cord-191574-1g38scnj	49	26	,	,	PUNCT
cord-191574-1g38scnj	49	27	while	while	SCONJ
cord-191574-1g38scnj	49	28	for	for	ADP
cord-191574-1g38scnj	49	29	the	the	DET
cord-191574-1g38scnj	49	30	laplace	laplace	ADJ
cord-191574-1g38scnj	49	31	-	-	PUNCT
cord-191574-1g38scnj	49	32	adomian	adomian	ADJ
cord-191574-1g38scnj	49	33	decomposition	decomposition	NOUN
cord-191574-1g38scnj	49	34	method	method	NOUN
cord-191574-1g38scnj	49	35	all	all	DET
cord-191574-1g38scnj	49	36	the	the	DET
cord-191574-1g38scnj	49	37	terms	term	NOUN
cord-191574-1g38scnj	49	38	in	in	ADP
cord-191574-1g38scnj	49	39	the	the	DET
cord-191574-1g38scnj	49	40	series	series	NOUN
cord-191574-1g38scnj	49	41	expansion	expansion	NOUN
cord-191574-1g38scnj	49	42	can	can	AUX
cord-191574-1g38scnj	49	43	be	be	AUX
cord-191574-1g38scnj	49	44	obtained	obtain	VERB
cord-191574-1g38scnj	49	45	exactly	exactly	ADV
cord-191574-1g38scnj	49	46	.	.	PUNCT
cord-191574-1g38scnj	50	1	we	we	PRON
cord-191574-1g38scnj	50	2	also	also	ADV
cord-191574-1g38scnj	50	3	perform	perform	VERB
cord-191574-1g38scnj	50	4	a	a	DET
cord-191574-1g38scnj	50	5	careful	careful	ADJ
cord-191574-1g38scnj	50	6	comparison	comparison	NOUN
cord-191574-1g38scnj	50	7	of	of	ADP
cord-191574-1g38scnj	50	8	the	the	DET
cord-191574-1g38scnj	50	9	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	50	10	results	result	NOUN
cord-191574-1g38scnj	50	11	with	with	ADP
cord-191574-1g38scnj	50	12	the	the	DET
cord-191574-1g38scnj	50	13	exact	exact	ADJ
cord-191574-1g38scnj	50	14	numerical	numerical	ADJ
cord-191574-1g38scnj	50	15	solutions	solution	NOUN
cord-191574-1g38scnj	50	16	,	,	PUNCT
cord-191574-1g38scnj	50	17	and	and	CCONJ
cord-191574-1g38scnj	50	18	it	it	PRON
cord-191574-1g38scnj	50	19	turns	turn	VERB
cord-191574-1g38scnj	50	20	out	out	ADP
cord-191574-1g38scnj	50	21	that	that	SCONJ
cord-191574-1g38scnj	50	22	for	for	ADP
cord-191574-1g38scnj	50	23	certain	certain	ADJ
cord-191574-1g38scnj	50	24	ranges	range	NOUN
cord-191574-1g38scnj	50	25	of	of	ADP
cord-191574-1g38scnj	50	26	the	the	DET
cord-191574-1g38scnj	50	27	model	model	NOUN
cord-191574-1g38scnj	50	28	parameters	parameter	NOUN
cord-191574-1g38scnj	50	29	β	β	NOUN
cord-191574-1g38scnj	50	30	,	,	PUNCT
cord-191574-1g38scnj	50	31	γ	γ	PROPN
cord-191574-1g38scnj	50	32	,	,	PUNCT
cord-191574-1g38scnj	50	33	µ	µ	PROPN
cord-191574-1g38scnj	50	34	)	)	PUNCT
cord-191574-1g38scnj	50	35	both	both	CCONJ
cord-191574-1g38scnj	50	36	the	the	DET
cord-191574-1g38scnj	50	37	adomian	adomian	NOUN
cord-191574-1g38scnj	50	38	and	and	CCONJ
cord-191574-1g38scnj	50	39	the	the	DET
cord-191574-1g38scnj	50	40	laplace	laplace	NOUN
cord-191574-1g38scnj	50	41	-	-	PUNCT
cord-191574-1g38scnj	50	42	adomian	adomian	ADJ
cord-191574-1g38scnj	50	43	decomposition	decomposition	NOUN
cord-191574-1g38scnj	50	44	methods	method	NOUN
cord-191574-1g38scnj	50	45	can	can	AUX
cord-191574-1g38scnj	50	46	give	give	VERB
cord-191574-1g38scnj	50	47	a	a	DET
cord-191574-1g38scnj	50	48	good	good	ADJ
cord-191574-1g38scnj	50	49	description	description	NOUN
cord-191574-1g38scnj	50	50	of	of	ADP
cord-191574-1g38scnj	50	51	the	the	DET
cord-191574-1g38scnj	50	52	numerical	numerical	ADJ
cord-191574-1g38scnj	50	53	results	result	NOUN
cord-191574-1g38scnj	50	54	.	.	PUNCT
cord-191574-1g38scnj	51	1	the	the	DET
cord-191574-1g38scnj	51	2	present	present	ADJ
cord-191574-1g38scnj	51	3	paper	paper	NOUN
cord-191574-1g38scnj	51	4	is	be	AUX
cord-191574-1g38scnj	51	5	organized	organize	VERB
cord-191574-1g38scnj	51	6	as	as	SCONJ
cord-191574-1g38scnj	51	7	follows	follow	VERB
cord-191574-1g38scnj	51	8	.	.	PUNCT
cord-191574-1g38scnj	52	1	the	the	DET
cord-191574-1g38scnj	52	2	basic	basic	ADJ
cord-191574-1g38scnj	52	3	equation	equation	NOUN
cord-191574-1g38scnj	52	4	describing	describe	VERB
cord-191574-1g38scnj	52	5	the	the	DET
cord-191574-1g38scnj	52	6	dynamical	dynamical	ADJ
cord-191574-1g38scnj	52	7	evolution	evolution	NOUN
cord-191574-1g38scnj	52	8	of	of	ADP
cord-191574-1g38scnj	52	9	the	the	DET
cord-191574-1g38scnj	52	10	sir	sir	PROPN
cord-191574-1g38scnj	52	11	model	model	NOUN
cord-191574-1g38scnj	52	12	with	with	ADP
cord-191574-1g38scnj	52	13	vital	vital	ADJ
cord-191574-1g38scnj	52	14	dynamics	dynamic	NOUN
cord-191574-1g38scnj	52	15	is	be	AUX
cord-191574-1g38scnj	52	16	obtained	obtain	VERB
cord-191574-1g38scnj	52	17	in	in	ADP
cord-191574-1g38scnj	52	18	section	section	PROPN
cord-191574-1g38scnj	52	19	ii	ii	PROPN
cord-191574-1g38scnj	52	20	.	.	PUNCT
cord-191574-1g38scnj	53	1	the	the	DET
cord-191574-1g38scnj	53	2	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	53	3	solutions	solution	NOUN
cord-191574-1g38scnj	53	4	of	of	ADP
cord-191574-1g38scnj	53	5	the	the	DET
cord-191574-1g38scnj	53	6	sir	sir	PROPN
cord-191574-1g38scnj	53	7	system	system	NOUN
cord-191574-1g38scnj	53	8	for	for	ADP
cord-191574-1g38scnj	53	9	µ	µ	PROPN
cord-191574-1g38scnj	53	10	=	=	NOUN
cord-191574-1g38scnj	53	11	0	0	AUX
cord-191574-1g38scnj	53	12	are	be	AUX
cord-191574-1g38scnj	53	13	obtained	obtain	VERB
cord-191574-1g38scnj	53	14	,	,	PUNCT
cord-191574-1g38scnj	53	15	by	by	ADP
cord-191574-1g38scnj	53	16	using	use	VERB
cord-191574-1g38scnj	53	17	the	the	DET
cord-191574-1g38scnj	53	18	adomian	adomian	NOUN
cord-191574-1g38scnj	53	19	and	and	CCONJ
cord-191574-1g38scnj	53	20	the	the	DET
cord-191574-1g38scnj	53	21	laplace	laplace	NOUN
cord-191574-1g38scnj	53	22	-	-	PUNCT
cord-191574-1g38scnj	53	23	adomian	adomian	ADJ
cord-191574-1g38scnj	53	24	decomposition	decomposition	NOUN
cord-191574-1g38scnj	53	25	methods	method	NOUN
cord-191574-1g38scnj	53	26	in	in	ADP
cord-191574-1g38scnj	53	27	section	section	PROPN
cord-191574-1g38scnj	53	28	iii	iii	PROPN
cord-191574-1g38scnj	53	29	.	.	PUNCT
cord-191574-1g38scnj	54	1	the	the	DET
cord-191574-1g38scnj	54	2	comparison	comparison	NOUN
cord-191574-1g38scnj	54	3	with	with	ADP
cord-191574-1g38scnj	54	4	the	the	DET
cord-191574-1g38scnj	54	5	exact	exact	ADJ
cord-191574-1g38scnj	54	6	numerical	numerical	ADJ
cord-191574-1g38scnj	54	7	solutions	solution	NOUN
cord-191574-1g38scnj	54	8	is	be	AUX
cord-191574-1g38scnj	54	9	performed	perform	VERB
cord-191574-1g38scnj	54	10	in	in	ADP
cord-191574-1g38scnj	54	11	section	section	PROPN
cord-191574-1g38scnj	54	12	iv	iv	PROPN
cord-191574-1g38scnj	54	13	.	.	PUNCT
cord-191574-1g38scnj	55	1	we	we	PRON
cord-191574-1g38scnj	55	2	discuss	discuss	VERB
cord-191574-1g38scnj	55	3	and	and	CCONJ
cord-191574-1g38scnj	55	4	conclude	conclude	VERB
cord-191574-1g38scnj	55	5	our	our	PRON
cord-191574-1g38scnj	55	6	results	result	NOUN
cord-191574-1g38scnj	55	7	in	in	ADP
cord-191574-1g38scnj	55	8	section	section	NOUN
cord-191574-1g38scnj	55	9	v.	v.	ADP
cord-191574-1g38scnj	55	10	in	in	ADP
cord-191574-1g38scnj	55	11	the	the	DET
cord-191574-1g38scnj	55	12	present	present	ADJ
cord-191574-1g38scnj	55	13	section	section	NOUN
cord-191574-1g38scnj	55	14	we	we	PRON
cord-191574-1g38scnj	55	15	will	will	AUX
cord-191574-1g38scnj	55	16	obtain	obtain	VERB
cord-191574-1g38scnj	55	17	the	the	DET
cord-191574-1g38scnj	55	18	basic	basic	ADJ
cord-191574-1g38scnj	55	19	equation	equation	NOUN
cord-191574-1g38scnj	55	20	describing	describe	VERB
cord-191574-1g38scnj	55	21	the	the	DET
cord-191574-1g38scnj	55	22	dynamics	dynamic	NOUN
cord-191574-1g38scnj	55	23	of	of	ADP
cord-191574-1g38scnj	55	24	the	the	DET
cord-191574-1g38scnj	55	25	sir	sir	PROPN
cord-191574-1g38scnj	55	26	model	model	NOUN
cord-191574-1g38scnj	55	27	with	with	ADP
cord-191574-1g38scnj	55	28	vital	vital	ADJ
cord-191574-1g38scnj	55	29	dynamics	dynamic	NOUN
cord-191574-1g38scnj	55	30	.	.	PUNCT
cord-191574-1g38scnj	56	1	then	then	ADV
cord-191574-1g38scnj	56	2	,	,	PUNCT
cord-191574-1g38scnj	56	3	by	by	ADP
cord-191574-1g38scnj	56	4	using	use	VERB
cord-191574-1g38scnj	56	5	this	this	DET
cord-191574-1g38scnj	56	6	equation	equation	NOUN
cord-191574-1g38scnj	56	7	,	,	PUNCT
cord-191574-1g38scnj	56	8	we	we	PRON
cord-191574-1g38scnj	56	9	will	will	AUX
cord-191574-1g38scnj	56	10	obtain	obtain	VERB
cord-191574-1g38scnj	56	11	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	56	12	,	,	PUNCT
cord-191574-1g38scnj	56	13	but	but	CCONJ
cord-191574-1g38scnj	56	14	still	still	ADV
cord-191574-1g38scnj	56	15	having	have	VERB
cord-191574-1g38scnj	56	16	a	a	DET
cord-191574-1g38scnj	56	17	high	high	ADJ
cord-191574-1g38scnj	56	18	numerical	numerical	ADJ
cord-191574-1g38scnj	56	19	precision	precision	NOUN
cord-191574-1g38scnj	56	20	,	,	PUNCT
cord-191574-1g38scnj	56	21	solutions	solution	NOUN
cord-191574-1g38scnj	56	22	of	of	ADP
cord-191574-1g38scnj	56	23	the	the	DET
cord-191574-1g38scnj	56	24	sir	sir	PROPN
cord-191574-1g38scnj	56	25	model	model	NOUN
cord-191574-1g38scnj	56	26	with	with	ADP
cord-191574-1g38scnj	56	27	vital	vital	ADJ
cord-191574-1g38scnj	56	28	dynamics	dynamic	NOUN
cord-191574-1g38scnj	56	29	,	,	PUNCT
cord-191574-1g38scnj	56	30	represented	represent	VERB
cord-191574-1g38scnj	56	31	in	in	ADP
cord-191574-1g38scnj	56	32	the	the	DET
cord-191574-1g38scnj	56	33	forms	form	NOUN
cord-191574-1g38scnj	56	34	of	of	ADP
cord-191574-1g38scnj	56	35	adomian	adomian	ADJ
cord-191574-1g38scnj	56	36	type	type	NOUN
cord-191574-1g38scnj	56	37	series	series	NOUN
cord-191574-1g38scnj	56	38	,	,	PUNCT
cord-191574-1g38scnj	56	39	containing	contain	VERB
cord-191574-1g38scnj	56	40	exponential	exponential	ADJ
cord-191574-1g38scnj	56	41	terms	term	NOUN
cord-191574-1g38scnj	56	42	.	.	PUNCT
cord-191574-1g38scnj	57	1	the	the	DET
cord-191574-1g38scnj	57	2	strongly	strongly	ADV
cord-191574-1g38scnj	57	3	nonlinear	nonlinear	ADJ
cord-191574-1g38scnj	57	4	system	system	NOUN
cord-191574-1g38scnj	57	5	of	of	ADP
cord-191574-1g38scnj	57	6	equations	equation	NOUN
cord-191574-1g38scnj	57	7	describing	describe	VERB
cord-191574-1g38scnj	57	8	the	the	DET
cord-191574-1g38scnj	57	9	sir	sir	PROPN
cord-191574-1g38scnj	57	10	model	model	NOUN
cord-191574-1g38scnj	57	11	with	with	ADP
cord-191574-1g38scnj	57	12	vital	vital	ADJ
cord-191574-1g38scnj	57	13	dynamics	dynamic	NOUN
cord-191574-1g38scnj	57	14	is	be	AUX
cord-191574-1g38scnj	57	15	given	give	VERB
cord-191574-1g38scnj	57	16	by	by	ADP
cord-191574-1g38scnj	57	17	[	[	SYM
cord-191574-1g38scnj	57	18	1	1	NUM
cord-191574-1g38scnj	57	19	,	,	PUNCT
cord-191574-1g38scnj	57	20	2	2	NUM
cord-191574-1g38scnj	57	21	,	,	PUNCT
cord-191574-1g38scnj	57	22	4	4	NUM
cord-191574-1g38scnj	57	23	,	,	PUNCT
cord-191574-1g38scnj	57	24	6	6	NUM
cord-191574-1g38scnj	57	25	]	]	PUNCT
cord-191574-1g38scnj	57	26	,	,	PUNCT
cord-191574-1g38scnj	57	27	where	where	SCONJ
cord-191574-1g38scnj	57	28	x(t	x(t	PROPN
cord-191574-1g38scnj	57	29	)	)	PUNCT
cord-191574-1g38scnj	57	30	>	>	X
cord-191574-1g38scnj	57	31	0	0	NUM
cord-191574-1g38scnj	57	32	,	,	PUNCT
cord-191574-1g38scnj	57	33	y(t	y(t	PROPN
cord-191574-1g38scnj	57	34	)	)	PUNCT
cord-191574-1g38scnj	57	35	>	>	PUNCT
cord-191574-1g38scnj	57	36	0	0	NUM
cord-191574-1g38scnj	57	37	and	and	CCONJ
cord-191574-1g38scnj	57	38	z(t	z(t	PROPN
cord-191574-1g38scnj	57	39	)	)	PUNCT
cord-191574-1g38scnj	57	40	>	>	PUNCT
cord-191574-1g38scnj	57	41	0	0	NUM
cord-191574-1g38scnj	57	42	,	,	PUNCT
cord-191574-1g38scnj	57	43	∀t	∀t	NUM
cord-191574-1g38scnj	57	44	≥	≥	NOUN
cord-191574-1g38scnj	57	45	0	0	NUM
cord-191574-1g38scnj	57	46	.	.	PUNCT
cord-191574-1g38scnj	58	1	the	the	DET
cord-191574-1g38scnj	58	2	system	system	NOUN
cord-191574-1g38scnj	58	3	of	of	ADP
cord-191574-1g38scnj	58	4	strongly	strongly	ADV
cord-191574-1g38scnj	58	5	nonlinear	nonlinear	ADJ
cord-191574-1g38scnj	58	6	differential	differential	ADJ
cord-191574-1g38scnj	58	7	equations	equation	NOUN
cord-191574-1g38scnj	58	8	(	(	PUNCT
cord-191574-1g38scnj	58	9	3)-(5	3)-(5	NUM
cord-191574-1g38scnj	58	10	)	)	PUNCT
cord-191574-1g38scnj	58	11	must	must	AUX
cord-191574-1g38scnj	58	12	be	be	AUX
cord-191574-1g38scnj	58	13	integrated	integrate	VERB
cord-191574-1g38scnj	58	14	with	with	ADP
cord-191574-1g38scnj	58	15	the	the	DET
cord-191574-1g38scnj	58	16	initial	initial	ADJ
cord-191574-1g38scnj	58	17	conditions	condition	NOUN
cord-191574-1g38scnj	58	18	the	the	DET
cord-191574-1g38scnj	58	19	time	time	NOUN
cord-191574-1g38scnj	58	20	evolution	evolution	NOUN
cord-191574-1g38scnj	58	21	of	of	ADP
cord-191574-1g38scnj	58	22	the	the	DET
cord-191574-1g38scnj	58	23	model	model	NOUN
cord-191574-1g38scnj	58	24	is	be	AUX
cord-191574-1g38scnj	58	25	determined	determine	VERB
cord-191574-1g38scnj	58	26	by	by	ADP
cord-191574-1g38scnj	58	27	three	three	NUM
cord-191574-1g38scnj	58	28	epidemiological	epidemiological	ADJ
cord-191574-1g38scnj	58	29	parameters	parameter	NOUN
cord-191574-1g38scnj	58	30	,	,	PUNCT
cord-191574-1g38scnj	58	31	the	the	DET
cord-191574-1g38scnj	58	32	infection	infection	NOUN
cord-191574-1g38scnj	58	33	rate	rate	NOUN
cord-191574-1g38scnj	58	34	β	β	NOUN
cord-191574-1g38scnj	58	35	,	,	PUNCT
cord-191574-1g38scnj	58	36	the	the	DET
cord-191574-1g38scnj	58	37	mean	mean	NOUN
cord-191574-1g38scnj	58	38	recovery	recovery	NOUN
cord-191574-1g38scnj	58	39	rate	rate	NOUN
cord-191574-1g38scnj	58	40	γ	γ	PROPN
cord-191574-1g38scnj	58	41	,	,	PUNCT
cord-191574-1g38scnj	58	42	and	and	CCONJ
cord-191574-1g38scnj	58	43	µ	µ	X
cord-191574-1g38scnj	58	44	,	,	PUNCT
cord-191574-1g38scnj	58	45	representing	represent	VERB
cord-191574-1g38scnj	58	46	the	the	DET
cord-191574-1g38scnj	58	47	natural	natural	ADJ
cord-191574-1g38scnj	58	48	death	death	NOUN
cord-191574-1g38scnj	58	49	rate	rate	NOUN
cord-191574-1g38scnj	58	50	,	,	PUNCT
cord-191574-1g38scnj	58	51	which	which	PRON
cord-191574-1g38scnj	58	52	in	in	ADP
cord-191574-1g38scnj	58	53	the	the	DET
cord-191574-1g38scnj	58	54	present	present	ADJ
cord-191574-1g38scnj	58	55	investigation	investigation	NOUN
cord-191574-1g38scnj	58	56	is	be	AUX
cord-191574-1g38scnj	58	57	assumed	assume	VERB
cord-191574-1g38scnj	58	58	to	to	PART
cord-191574-1g38scnj	58	59	be	be	AUX
cord-191574-1g38scnj	58	60	equal	equal	ADJ
cord-191574-1g38scnj	58	61	to	to	ADP
cord-191574-1g38scnj	58	62	the	the	DET
cord-191574-1g38scnj	58	63	birth	birth	NOUN
cord-191574-1g38scnj	58	64	rate	rate	NOUN
cord-191574-1g38scnj	58	65	.	.	PUNCT
cord-191574-1g38scnj	59	1	in	in	ADP
cord-191574-1g38scnj	59	2	the	the	DET
cord-191574-1g38scnj	59	3	following	follow	VERB
cord-191574-1g38scnj	59	4	β	β	NOUN
cord-191574-1g38scnj	59	5	,	,	PUNCT
cord-191574-1g38scnj	59	6	γ	γ	NOUN
cord-191574-1g38scnj	59	7	,	,	PUNCT
cord-191574-1g38scnj	59	8	and	and	CCONJ
cord-191574-1g38scnj	59	9	µ	µ	PROPN
cord-191574-1g38scnj	59	10	are	be	AUX
cord-191574-1g38scnj	59	11	assumed	assume	VERB
cord-191574-1g38scnj	59	12	to	to	PART
cord-191574-1g38scnj	59	13	be	be	AUX
cord-191574-1g38scnj	59	14	positive	positive	ADJ
cord-191574-1g38scnj	59	15	constants	constant	NOUN
cord-191574-1g38scnj	59	16	.	.	PUNCT
cord-191574-1g38scnj	60	1	by	by	ADP
cord-191574-1g38scnj	60	2	adding	add	VERB
cord-191574-1g38scnj	60	3	eqs	eqs	PROPN
cord-191574-1g38scnj	60	4	.	.	PUNCT
cord-191574-1g38scnj	61	1	(	(	PUNCT
cord-191574-1g38scnj	61	2	3)-(5	3)-(5	NUM
cord-191574-1g38scnj	61	3	)	)	PUNCT
cord-191574-1g38scnj	61	4	,	,	PUNCT
cord-191574-1g38scnj	61	5	and	and	CCONJ
cord-191574-1g38scnj	61	6	integrating	integrate	VERB
cord-191574-1g38scnj	61	7	the	the	DET
cord-191574-1g38scnj	61	8	resulting	result	VERB
cord-191574-1g38scnj	61	9	equation	equation	NOUN
cord-191574-1g38scnj	61	10	we	we	PRON
cord-191574-1g38scnj	61	11	immediately	immediately	ADV
cord-191574-1g38scnj	61	12	obtain	obtain	VERB
cord-191574-1g38scnj	61	13	where	where	SCONJ
cord-191574-1g38scnj	61	14	n	n	NOUN
cord-191574-1g38scnj	61	15	0	0	PROPN
cord-191574-1g38scnj	61	16	is	be	AUX
cord-191574-1g38scnj	61	17	an	an	DET
cord-191574-1g38scnj	61	18	arbitrary	arbitrary	ADJ
cord-191574-1g38scnj	61	19	integration	integration	NOUN
cord-191574-1g38scnj	61	20	constant	constant	ADJ
cord-191574-1g38scnj	61	21	.	.	PUNCT
cord-191574-1g38scnj	62	1	in	in	ADP
cord-191574-1g38scnj	62	2	order	order	NOUN
cord-191574-1g38scnj	62	3	to	to	PART
cord-191574-1g38scnj	62	4	assure	assure	VERB
cord-191574-1g38scnj	62	5	that	that	SCONJ
cord-191574-1g38scnj	62	6	the	the	DET
cord-191574-1g38scnj	62	7	total	total	ADJ
cord-191574-1g38scnj	62	8	number	number	NOUN
cord-191574-1g38scnj	62	9	of	of	ADP
cord-191574-1g38scnj	62	10	individuals	individual	NOUN
cord-191574-1g38scnj	62	11	in	in	ADP
cord-191574-1g38scnj	62	12	the	the	DET
cord-191574-1g38scnj	62	13	group	group	NOUN
cord-191574-1g38scnj	62	14	is	be	AUX
cord-191574-1g38scnj	62	15	a	a	DET
cord-191574-1g38scnj	62	16	constant	constant	ADJ
cord-191574-1g38scnj	62	17	,	,	PUNCT
cord-191574-1g38scnj	62	18	we	we	PRON
cord-191574-1g38scnj	62	19	must	must	AUX
cord-191574-1g38scnj	62	20	fix	fix	VERB
cord-191574-1g38scnj	62	21	the	the	DET
cord-191574-1g38scnj	62	22	integration	integration	NOUN
cord-191574-1g38scnj	62	23	constant	constant	ADJ
cord-191574-1g38scnj	62	24	n	n	NOUN
cord-191574-1g38scnj	62	25	0	0	NUM
cord-191574-1g38scnj	62	26	as	as	ADP
cord-191574-1g38scnj	62	27	zero	zero	NUM
cord-191574-1g38scnj	62	28	,	,	PUNCT
cord-191574-1g38scnj	62	29	n	n	NOUN
cord-191574-1g38scnj	62	30	0	0	NUM
cord-191574-1g38scnj	62	31	=	=	NOUN
cord-191574-1g38scnj	62	32	0	0	NUM
cord-191574-1g38scnj	62	33	.	.	PUNCT
cord-191574-1g38scnj	63	1	in	in	ADP
cord-191574-1g38scnj	63	2	the	the	DET
cord-191574-1g38scnj	63	3	following	following	NOUN
cord-191574-1g38scnj	63	4	,	,	PUNCT
cord-191574-1g38scnj	63	5	in	in	ADP
cord-191574-1g38scnj	63	6	order	order	NOUN
cord-191574-1g38scnj	63	7	to	to	PART
cord-191574-1g38scnj	63	8	significantly	significantly	ADV
cord-191574-1g38scnj	63	9	simplify	simplify	VERB
cord-191574-1g38scnj	63	10	the	the	DET
cord-191574-1g38scnj	63	11	mathematical	mathematical	ADJ
cord-191574-1g38scnj	63	12	formalism	formalism	NOUN
cord-191574-1g38scnj	63	13	we	we	PRON
cord-191574-1g38scnj	63	14	introduce	introduce	VERB
cord-191574-1g38scnj	63	15	first	first	ADV
cord-191574-1g38scnj	63	16	a	a	DET
cord-191574-1g38scnj	63	17	new	new	ADJ
cord-191574-1g38scnj	63	18	function	function	NOUN
cord-191574-1g38scnj	63	19	u(t	u(t	PROPN
cord-191574-1g38scnj	63	20	)	)	PUNCT
cord-191574-1g38scnj	63	21	,	,	PUNCT
cord-191574-1g38scnj	63	22	related	relate	VERB
cord-191574-1g38scnj	63	23	to	to	ADP
cord-191574-1g38scnj	63	24	y(t	y(t	PROPN
cord-191574-1g38scnj	63	25	)	)	PUNCT
cord-191574-1g38scnj	63	26	by	by	ADP
cord-191574-1g38scnj	63	27	and	and	CCONJ
cord-191574-1g38scnj	63	28	which	which	PRON
cord-191574-1g38scnj	63	29	satisfies	satisfy	VERB
cord-191574-1g38scnj	63	30	the	the	DET
cord-191574-1g38scnj	63	31	initial	initial	ADJ
cord-191574-1g38scnj	63	32	condition	condition	NOUN
cord-191574-1g38scnj	63	33	and	and	CCONJ
cord-191574-1g38scnj	63	34	thus	thus	ADV
cord-191574-1g38scnj	63	35	obviously	obviously	ADV
cord-191574-1g38scnj	63	36	giving	give	VERB
cord-191574-1g38scnj	63	37	y(0	y(0	PROPN
cord-191574-1g38scnj	63	38	)	)	PUNCT
cord-191574-1g38scnj	63	39	=	=	NOUN
cord-191574-1g38scnj	63	40	n	n	NOUN
cord-191574-1g38scnj	63	41	2	2	NUM
cord-191574-1g38scnj	63	42	.	.	PUNCT
cord-191574-1g38scnj	63	43	then	then	ADV
cord-191574-1g38scnj	63	44	from	from	ADP
cord-191574-1g38scnj	63	45	eq	eq	PROPN
cord-191574-1g38scnj	63	46	.	.	PUNCT
cord-191574-1g38scnj	64	1	(	(	PUNCT
cord-191574-1g38scnj	64	2	4	4	X
cord-191574-1g38scnj	64	3	)	)	PUNCT
cord-191574-1g38scnj	64	4	we	we	PRON
cord-191574-1g38scnj	64	5	obtain	obtain	VERB
cord-191574-1g38scnj	64	6	for	for	ADP
cord-191574-1g38scnj	64	7	x(t	x(t	PROPN
cord-191574-1g38scnj	64	8	)	)	PUNCT
cord-191574-1g38scnj	64	9	the	the	DET
cord-191574-1g38scnj	64	10	simple	simple	ADJ
cord-191574-1g38scnj	64	11	expression	expression	NOUN
cord-191574-1g38scnj	64	12	by	by	ADP
cord-191574-1g38scnj	64	13	substituting	substitute	VERB
cord-191574-1g38scnj	64	14	eqs	eqs	PROPN
cord-191574-1g38scnj	64	15	.	.	PUNCT
cord-191574-1g38scnj	65	1	(	(	PUNCT
cord-191574-1g38scnj	65	2	8)	8)	NUM
cord-191574-1g38scnj	65	3	and	and	CCONJ
cord-191574-1g38scnj	65	4	(	(	PUNCT
cord-191574-1g38scnj	65	5	10	10	NUM
cord-191574-1g38scnj	65	6	)	)	PUNCT
cord-191574-1g38scnj	65	7	into	into	ADP
cord-191574-1g38scnj	65	8	eq	eq	PROPN
cord-191574-1g38scnj	65	9	.	.	PUNCT
cord-191574-1g38scnj	66	1	(	(	PUNCT
cord-191574-1g38scnj	66	2	3	3	NUM
cord-191574-1g38scnj	66	3	)	)	PUNCT
cord-191574-1g38scnj	66	4	,	,	PUNCT
cord-191574-1g38scnj	66	5	the	the	DET
cord-191574-1g38scnj	66	6	latter	latter	ADJ
cord-191574-1g38scnj	66	7	becomes	become	VERB
cord-191574-1g38scnj	66	8	eq	eq	PROPN
cord-191574-1g38scnj	66	9	.	.	PUNCT
cord-191574-1g38scnj	67	1	(	(	PUNCT
cord-191574-1g38scnj	67	2	11	11	NUM
cord-191574-1g38scnj	67	3	)	)	PUNCT
cord-191574-1g38scnj	67	4	can	can	AUX
cord-191574-1g38scnj	67	5	be	be	AUX
cord-191574-1g38scnj	67	6	reformulated	reformulate	VERB
cord-191574-1g38scnj	67	7	as	as	ADP
cord-191574-1g38scnj	67	8	eq	eq	PROPN
cord-191574-1g38scnj	67	9	.	.	PUNCT
cord-191574-1g38scnj	68	1	(	(	PUNCT
cord-191574-1g38scnj	68	2	12	12	NUM
cord-191574-1g38scnj	68	3	)	)	PUNCT
cord-191574-1g38scnj	68	4	represents	represent	VERB
cord-191574-1g38scnj	68	5	the	the	DET
cord-191574-1g38scnj	68	6	basic	basic	ADJ
cord-191574-1g38scnj	68	7	dynamical	dynamical	ADJ
cord-191574-1g38scnj	68	8	evolution	evolution	NOUN
cord-191574-1g38scnj	68	9	equation	equation	NOUN
cord-191574-1g38scnj	68	10	of	of	ADP
cord-191574-1g38scnj	68	11	the	the	DET
cord-191574-1g38scnj	68	12	sir	sir	PROPN
cord-191574-1g38scnj	68	13	model	model	NOUN
cord-191574-1g38scnj	68	14	with	with	ADP
cord-191574-1g38scnj	68	15	vital	vital	ADJ
cord-191574-1g38scnj	68	16	dynamics	dynamic	NOUN
cord-191574-1g38scnj	68	17	.	.	PUNCT
cord-191574-1g38scnj	69	1	it	it	PRON
cord-191574-1g38scnj	69	2	must	must	AUX
cord-191574-1g38scnj	69	3	be	be	AUX
cord-191574-1g38scnj	69	4	solved	solve	VERB
cord-191574-1g38scnj	69	5	with	with	ADP
cord-191574-1g38scnj	69	6	the	the	DET
cord-191574-1g38scnj	69	7	initial	initial	ADJ
cord-191574-1g38scnj	69	8	conditions	condition	NOUN
cord-191574-1g38scnj	69	9	by	by	ADP
cord-191574-1g38scnj	69	10	representing	represent	VERB
cord-191574-1g38scnj	69	11	z(t	z(t	PROPN
cord-191574-1g38scnj	69	12	)	)	PUNCT
cord-191574-1g38scnj	69	13	as	as	ADP
cord-191574-1g38scnj	69	14	eq	eq	PROPN
cord-191574-1g38scnj	69	15	.	.	PUNCT
cord-191574-1g38scnj	70	1	(	(	PUNCT
cord-191574-1g38scnj	70	2	5	5	NUM
cord-191574-1g38scnj	70	3	)	)	PUNCT
cord-191574-1g38scnj	70	4	becomes	become	VERB
cord-191574-1g38scnj	70	5	giving	give	VERB
cord-191574-1g38scnj	70	6	and	and	CCONJ
cord-191574-1g38scnj	70	7	respectively	respectively	ADV
cord-191574-1g38scnj	70	8	,	,	PUNCT
cord-191574-1g38scnj	70	9	where	where	SCONJ
cord-191574-1g38scnj	70	10	we	we	PRON
cord-191574-1g38scnj	70	11	have	have	AUX
cord-191574-1g38scnj	70	12	used	use	VERB
cord-191574-1g38scnj	70	13	the	the	DET
cord-191574-1g38scnj	70	14	condition	condition	NOUN
cord-191574-1g38scnj	70	15	w(0	w(0	PROPN
cord-191574-1g38scnj	70	16	)	)	PUNCT
cord-191574-1g38scnj	71	1	=	=	NOUN
cord-191574-1g38scnj	71	2	z(0	z(0	PUNCT
cord-191574-1g38scnj	71	3	)	)	PUNCT
cord-191574-1g38scnj	71	4	=	=	NOUN
cord-191574-1g38scnj	71	5	n	n	NOUN
cord-191574-1g38scnj	71	6	3	3	NUM
cord-191574-1g38scnj	71	7	.	.	PUNCT
cord-191574-1g38scnj	72	1	the	the	DET
cord-191574-1g38scnj	72	2	general	general	ADJ
cord-191574-1g38scnj	72	3	solution	solution	NOUN
cord-191574-1g38scnj	72	4	of	of	ADP
cord-191574-1g38scnj	72	5	eq	eq	PROPN
cord-191574-1g38scnj	72	6	.	.	PUNCT
cord-191574-1g38scnj	73	1	(	(	PUNCT
cord-191574-1g38scnj	73	2	12	12	NUM
cord-191574-1g38scnj	73	3	)	)	PUNCT
cord-191574-1g38scnj	73	4	can	can	AUX
cord-191574-1g38scnj	73	5	not	not	PART
cord-191574-1g38scnj	73	6	be	be	AUX
cord-191574-1g38scnj	73	7	obtained	obtain	VERB
cord-191574-1g38scnj	73	8	in	in	ADP
cord-191574-1g38scnj	73	9	a	a	DET
cord-191574-1g38scnj	73	10	closed	closed	ADJ
cord-191574-1g38scnj	73	11	(	(	PUNCT
cord-191574-1g38scnj	73	12	exact	exact	ADJ
cord-191574-1g38scnj	73	13	)	)	PUNCT
cord-191574-1g38scnj	73	14	form	form	NOUN
cord-191574-1g38scnj	73	15	.	.	PUNCT
cord-191574-1g38scnj	74	1	in	in	ADP
cord-191574-1g38scnj	74	2	the	the	DET
cord-191574-1g38scnj	74	3	present	present	ADJ
cord-191574-1g38scnj	74	4	section	section	NOUN
cord-191574-1g38scnj	74	5	we	we	PRON
cord-191574-1g38scnj	74	6	will	will	AUX
cord-191574-1g38scnj	74	7	consider	consider	VERB
cord-191574-1g38scnj	74	8	the	the	DET
cord-191574-1g38scnj	74	9	applications	application	NOUN
cord-191574-1g38scnj	74	10	of	of	ADP
cord-191574-1g38scnj	74	11	the	the	DET
cord-191574-1g38scnj	74	12	adomian	adomian	ADJ
cord-191574-1g38scnj	74	13	decomposition	decomposition	NOUN
cord-191574-1g38scnj	74	14	method	method	NOUN
cord-191574-1g38scnj	74	15	for	for	ADP
cord-191574-1g38scnj	74	16	the	the	DET
cord-191574-1g38scnj	74	17	study	study	NOUN
cord-191574-1g38scnj	74	18	of	of	ADP
cord-191574-1g38scnj	74	19	the	the	DET
cord-191574-1g38scnj	74	20	sir	sir	PROPN
cord-191574-1g38scnj	74	21	model	model	NOUN
cord-191574-1g38scnj	74	22	with	with	ADP
cord-191574-1g38scnj	74	23	vital	vital	ADJ
cord-191574-1g38scnj	74	24	dynamics	dynamic	NOUN
cord-191574-1g38scnj	74	25	.	.	PUNCT
cord-191574-1g38scnj	75	1	in	in	ADP
cord-191574-1g38scnj	75	2	order	order	NOUN
cord-191574-1g38scnj	75	3	to	to	PART
cord-191574-1g38scnj	75	4	obtain	obtain	VERB
cord-191574-1g38scnj	75	5	a	a	DET
cord-191574-1g38scnj	75	6	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	75	7	solution	solution	NOUN
cord-191574-1g38scnj	75	8	of	of	ADP
cord-191574-1g38scnj	75	9	the	the	DET
cord-191574-1g38scnj	75	10	model	model	NOUN
cord-191574-1g38scnj	75	11	we	we	PRON
cord-191574-1g38scnj	75	12	will	will	AUX
cord-191574-1g38scnj	75	13	consider	consider	VERB
cord-191574-1g38scnj	75	14	first	first	ADV
cord-191574-1g38scnj	75	15	the	the	DET
cord-191574-1g38scnj	75	16	solution	solution	NOUN
cord-191574-1g38scnj	75	17	of	of	ADP
cord-191574-1g38scnj	75	18	the	the	DET
cord-191574-1g38scnj	75	19	basic	basic	ADJ
cord-191574-1g38scnj	75	20	evolution	evolution	NOUN
cord-191574-1g38scnj	75	21	equation	equation	NOUN
cord-191574-1g38scnj	75	22	(	(	PUNCT
cord-191574-1g38scnj	75	23	12	12	NUM
cord-191574-1g38scnj	75	24	)	)	PUNCT
cord-191574-1g38scnj	75	25	by	by	ADP
cord-191574-1g38scnj	75	26	obtaining	obtain	VERB
cord-191574-1g38scnj	75	27	the	the	DET
cord-191574-1g38scnj	75	28	adomian	adomian	ADJ
cord-191574-1g38scnj	75	29	type	type	NOUN
cord-191574-1g38scnj	75	30	recursive	recursive	ADJ
cord-191574-1g38scnj	75	31	relations	relation	NOUN
cord-191574-1g38scnj	75	32	for	for	ADP
cord-191574-1g38scnj	75	33	solving	solve	VERB
cord-191574-1g38scnj	75	34	eq	eq	PROPN
cord-191574-1g38scnj	75	35	.	.	PUNCT
cord-191574-1g38scnj	76	1	(	(	PUNCT
cord-191574-1g38scnj	76	2	12	12	NUM
cord-191574-1g38scnj	76	3	)	)	PUNCT
cord-191574-1g38scnj	76	4	in	in	ADP
cord-191574-1g38scnj	76	5	both	both	CCONJ
cord-191574-1g38scnj	76	6	the	the	DET
cord-191574-1g38scnj	76	7	standard	standard	ADJ
cord-191574-1g38scnj	76	8	adomian	adomian	NOUN
cord-191574-1g38scnj	76	9	as	as	ADV
cord-191574-1g38scnj	76	10	well	well	ADV
cord-191574-1g38scnj	76	11	as	as	ADP
cord-191574-1g38scnj	76	12	in	in	ADP
cord-191574-1g38scnj	76	13	the	the	DET
cord-191574-1g38scnj	76	14	laplace	laplace	ADJ
cord-191574-1g38scnj	76	15	-	-	PUNCT
cord-191574-1g38scnj	76	16	adomian	adomian	ADJ
cord-191574-1g38scnj	76	17	decomposition	decomposition	NOUN
cord-191574-1g38scnj	76	18	methods	method	NOUN
cord-191574-1g38scnj	76	19	.	.	PUNCT
cord-191574-1g38scnj	77	1	we	we	PRON
cord-191574-1g38scnj	77	2	will	will	AUX
cord-191574-1g38scnj	77	3	begin	begin	VERB
cord-191574-1g38scnj	77	4	our	our	PRON
cord-191574-1g38scnj	77	5	investigations	investigation	NOUN
cord-191574-1g38scnj	77	6	of	of	ADP
cord-191574-1g38scnj	77	7	eq	eq	PROPN
cord-191574-1g38scnj	77	8	.	.	PUNCT
cord-191574-1g38scnj	78	1	(	(	PUNCT
cord-191574-1g38scnj	78	2	12	12	NUM
cord-191574-1g38scnj	78	3	)	)	PUNCT
cord-191574-1g38scnj	78	4	by	by	ADP
cord-191574-1g38scnj	78	5	applying	apply	VERB
cord-191574-1g38scnj	78	6	first	first	ADV
cord-191574-1g38scnj	78	7	the	the	DET
cord-191574-1g38scnj	78	8	standard	standard	ADJ
cord-191574-1g38scnj	78	9	adomian	adomian	ADJ
cord-191574-1g38scnj	78	10	decomposition	decomposition	NOUN
cord-191574-1g38scnj	78	11	method	method	NOUN
cord-191574-1g38scnj	78	12	.	.	PUNCT
cord-191574-1g38scnj	79	1	we	we	PRON
cord-191574-1g38scnj	79	2	integrate	integrate	VERB
cord-191574-1g38scnj	79	3	eq	eq	PROPN
cord-191574-1g38scnj	79	4	.	.	PUNCT
cord-191574-1g38scnj	80	1	(	(	PUNCT
cord-191574-1g38scnj	80	2	12	12	NUM
cord-191574-1g38scnj	80	3	)	)	PUNCT
cord-191574-1g38scnj	80	4	between	between	ADP
cord-191574-1g38scnj	80	5	0	0	NUM
cord-191574-1g38scnj	80	6	and	and	CCONJ
cord-191574-1g38scnj	80	7	t.	t.	PROPN
cord-191574-1g38scnj	80	8	with	with	ADP
cord-191574-1g38scnj	80	9	the	the	DET
cord-191574-1g38scnj	80	10	use	use	NOUN
cord-191574-1g38scnj	80	11	of	of	ADP
cord-191574-1g38scnj	80	12	the	the	DET
cord-191574-1g38scnj	80	13	initial	initial	ADJ
cord-191574-1g38scnj	80	14	conditions	condition	NOUN
cord-191574-1g38scnj	80	15	we	we	PRON
cord-191574-1g38scnj	80	16	obtain	obtain	VERB
cord-191574-1g38scnj	80	17	again	again	ADV
cord-191574-1g38scnj	80	18	we	we	PRON
cord-191574-1g38scnj	80	19	integrate	integrate	VERB
cord-191574-1g38scnj	80	20	eq	eq	PROPN
cord-191574-1g38scnj	80	21	.	.	PUNCT
cord-191574-1g38scnj	81	1	(	(	PUNCT
cord-191574-1g38scnj	81	2	18	18	NUM
cord-191574-1g38scnj	81	3	)	)	PUNCT
cord-191574-1g38scnj	81	4	between	between	ADP
cord-191574-1g38scnj	81	5	0	0	NUM
cord-191574-1g38scnj	81	6	and	and	CCONJ
cord-191574-1g38scnj	81	7	t	t	NOUN
cord-191574-1g38scnj	81	8	to	to	PART
cord-191574-1g38scnj	81	9	find	find	VERB
cord-191574-1g38scnj	81	10	now	now	ADV
cord-191574-1g38scnj	81	11	we	we	PRON
cord-191574-1g38scnj	81	12	will	will	AUX
cord-191574-1g38scnj	81	13	apply	apply	VERB
cord-191574-1g38scnj	81	14	the	the	DET
cord-191574-1g38scnj	81	15	adomian	adomian	ADJ
cord-191574-1g38scnj	81	16	decomposition	decomposition	NOUN
cord-191574-1g38scnj	81	17	method	method	NOUN
cord-191574-1g38scnj	81	18	to	to	ADP
cord-191574-1g38scnj	81	19	eq	eq	PROPN
cord-191574-1g38scnj	81	20	.	.	PUNCT
cord-191574-1g38scnj	82	1	(	(	PUNCT
cord-191574-1g38scnj	82	2	19	19	NUM
cord-191574-1g38scnj	82	3	)	)	PUNCT
cord-191574-1g38scnj	82	4	.	.	PUNCT
cord-191574-1g38scnj	83	1	for	for	ADP
cord-191574-1g38scnj	83	2	this	this	PRON
cord-191574-1g38scnj	83	3	we	we	PRON
cord-191574-1g38scnj	83	4	assume	assume	VERB
cord-191574-1g38scnj	83	5	and	and	CCONJ
cord-191574-1g38scnj	83	6	where	where	SCONJ
cord-191574-1g38scnj	83	7	a	a	DET
cord-191574-1g38scnj	83	8	n	n	NOUN
cord-191574-1g38scnj	83	9	(	(	PUNCT
cord-191574-1g38scnj	83	10	t	t	PROPN
cord-191574-1g38scnj	83	11	)	)	PUNCT
cord-191574-1g38scnj	83	12	are	be	AUX
cord-191574-1g38scnj	83	13	the	the	DET
cord-191574-1g38scnj	83	14	adomian	adomian	ADJ
cord-191574-1g38scnj	83	15	polynomials	polynomial	NOUN
cord-191574-1g38scnj	83	16	,	,	PUNCT
cord-191574-1g38scnj	83	17	defined	define	VERB
cord-191574-1g38scnj	83	18	for	for	ADP
cord-191574-1g38scnj	83	19	an	an	DET
cord-191574-1g38scnj	83	20	arbitrary	arbitrary	ADJ
cord-191574-1g38scnj	83	21	function	function	NOUN
cord-191574-1g38scnj	83	22	f	f	PROPN
cord-191574-1g38scnj	83	23	(	(	PUNCT
cord-191574-1g38scnj	83	24	u(t	u(t	PROPN
cord-191574-1g38scnj	83	25	)	)	PUNCT
cord-191574-1g38scnj	83	26	)	)	PUNCT
cord-191574-1g38scnj	84	1	according	accord	VERB
cord-191574-1g38scnj	84	2	to	to	ADP
cord-191574-1g38scnj	84	3	the	the	DET
cord-191574-1g38scnj	84	4	general	general	ADJ
cord-191574-1g38scnj	84	5	formula	formula	NOUN
cord-191574-1g38scnj	84	6	[	[	PUNCT
cord-191574-1g38scnj	84	7	32	32	NUM
cord-191574-1g38scnj	84	8	]	]	PUNCT
cord-191574-1g38scnj	84	9	substituting	substitute	VERB
cord-191574-1g38scnj	84	10	eqs	eqs	PROPN
cord-191574-1g38scnj	84	11	.	.	PUNCT
cord-191574-1g38scnj	85	1	(	(	PUNCT
cord-191574-1g38scnj	85	2	20	20	NUM
cord-191574-1g38scnj	85	3	)	)	PUNCT
cord-191574-1g38scnj	85	4	and	and	CCONJ
cord-191574-1g38scnj	85	5	(	(	PUNCT
cord-191574-1g38scnj	85	6	21	21	NUM
cord-191574-1g38scnj	85	7	)	)	PUNCT
cord-191574-1g38scnj	85	8	into	into	ADP
cord-191574-1g38scnj	85	9	eq	eq	PROPN
cord-191574-1g38scnj	85	10	.	.	PUNCT
cord-191574-1g38scnj	85	11	(	(	PUNCT
cord-191574-1g38scnj	85	12	19	19	NUM
cord-191574-1g38scnj	85	13	)	)	PUNCT
cord-191574-1g38scnj	85	14	we	we	PRON
cord-191574-1g38scnj	85	15	obtain	obtain	VERB
cord-191574-1g38scnj	85	16	explicitly	explicitly	ADV
cord-191574-1g38scnj	85	17	,	,	PUNCT
cord-191574-1g38scnj	85	18	we	we	PRON
cord-191574-1g38scnj	85	19	can	can	AUX
cord-191574-1g38scnj	85	20	write	write	VERB
cord-191574-1g38scnj	85	21	the	the	DET
cord-191574-1g38scnj	85	22	above	above	ADJ
cord-191574-1g38scnj	85	23	equation	equation	NOUN
cord-191574-1g38scnj	85	24	as	as	SCONJ
cord-191574-1g38scnj	85	25	now	now	ADV
cord-191574-1g38scnj	85	26	we	we	PRON
cord-191574-1g38scnj	85	27	take	take	VERB
cord-191574-1g38scnj	85	28	...	...	PUNCT
cord-191574-1g38scnj	85	29	therefore	therefore	ADV
cord-191574-1g38scnj	85	30	we	we	PRON
cord-191574-1g38scnj	85	31	have	have	AUX
cord-191574-1g38scnj	85	32	obtained	obtain	VERB
cord-191574-1g38scnj	85	33	the	the	DET
cord-191574-1g38scnj	85	34	iteration	iteration	NOUN
cord-191574-1g38scnj	85	35	now	now	ADV
cord-191574-1g38scnj	85	36	we	we	PRON
cord-191574-1g38scnj	85	37	can	can	AUX
cord-191574-1g38scnj	85	38	use	use	VERB
cord-191574-1g38scnj	85	39	the	the	DET
cord-191574-1g38scnj	85	40	cauchy	cauchy	ADJ
cord-191574-1g38scnj	85	41	formula	formula	NOUN
cord-191574-1g38scnj	85	42	for	for	ADP
cord-191574-1g38scnj	85	43	repeated	repeat	VERB
cord-191574-1g38scnj	85	44	integration	integration	NOUN
cord-191574-1g38scnj	85	45	,	,	PUNCT
cord-191574-1g38scnj	85	46	which	which	PRON
cord-191574-1g38scnj	85	47	gives	give	VERB
cord-191574-1g38scnj	85	48	thus	thus	ADV
cord-191574-1g38scnj	85	49	eq	eq	PROPN
cord-191574-1g38scnj	85	50	.	.	PUNCT
cord-191574-1g38scnj	85	51	(	(	PUNCT
cord-191574-1g38scnj	85	52	30	30	NUM
cord-191574-1g38scnj	85	53	)	)	PUNCT
cord-191574-1g38scnj	85	54	becomes	become	VERB
cord-191574-1g38scnj	85	55	in	in	ADP
cord-191574-1g38scnj	85	56	the	the	DET
cord-191574-1g38scnj	85	57	following	following	NOUN
cord-191574-1g38scnj	85	58	we	we	PRON
cord-191574-1g38scnj	85	59	denote	denote	VERB
cord-191574-1g38scnj	85	60	hence	hence	ADV
cord-191574-1g38scnj	85	61	the	the	DET
cord-191574-1g38scnj	85	62	first	first	ADJ
cord-191574-1g38scnj	85	63	adomian	adomian	ADJ
cord-191574-1g38scnj	85	64	polynomial	polynomial	NOUN
cord-191574-1g38scnj	85	65	is	be	AUX
cord-191574-1g38scnj	85	66	given	give	VERB
cord-191574-1g38scnj	85	67	by	by	ADP
cord-191574-1g38scnj	85	68	for	for	ADP
cord-191574-1g38scnj	85	69	u	u	PROPN
cord-191574-1g38scnj	85	70	1	1	NUM
cord-191574-1g38scnj	85	71	(	(	PUNCT
cord-191574-1g38scnj	85	72	t	t	NOUN
cord-191574-1g38scnj	85	73	)	)	PUNCT
cord-191574-1g38scnj	85	74	we	we	PRON
cord-191574-1g38scnj	85	75	obtain	obtain	VERB
cord-191574-1g38scnj	85	76	where	where	SCONJ
cord-191574-1g38scnj	85	77	erf(z	erf(z	X
cord-191574-1g38scnj	85	78	)	)	PUNCT
cord-191574-1g38scnj	85	79	=	=	SYM
cord-191574-1g38scnj	85	80	2/	2/	PROPN
cord-191574-1g38scnj	85	81	√	√	PUNCT
cord-191574-1g38scnj	86	1	π	π	NOUN
cord-191574-1g38scnj	86	2	z	z	NOUN
cord-191574-1g38scnj	86	3	0	0	NUM
cord-191574-1g38scnj	86	4	e	e	NOUN
cord-191574-1g38scnj	86	5	−t	−t	PROPN
cord-191574-1g38scnj	86	6	2	2	NUM
cord-191574-1g38scnj	86	7	dt	dt	PROPN
cord-191574-1g38scnj	86	8	is	be	AUX
cord-191574-1g38scnj	86	9	the	the	DET
cord-191574-1g38scnj	86	10	error	error	NOUN
cord-191574-1g38scnj	86	11	function	function	NOUN
cord-191574-1g38scnj	86	12	.	.	PUNCT
cord-191574-1g38scnj	87	1	the	the	DET
cord-191574-1g38scnj	87	2	next	next	ADJ
cord-191574-1g38scnj	87	3	term	term	NOUN
cord-191574-1g38scnj	87	4	u	u	PROPN
cord-191574-1g38scnj	87	5	2	2	NUM
cord-191574-1g38scnj	87	6	can	can	AUX
cord-191574-1g38scnj	87	7	not	not	PART
cord-191574-1g38scnj	87	8	be	be	AUX
cord-191574-1g38scnj	87	9	obtained	obtain	VERB
cord-191574-1g38scnj	87	10	in	in	ADP
cord-191574-1g38scnj	87	11	an	an	DET
cord-191574-1g38scnj	87	12	exact	exact	ADJ
cord-191574-1g38scnj	87	13	form	form	NOUN
cord-191574-1g38scnj	87	14	,	,	PUNCT
cord-191574-1g38scnj	87	15	and	and	CCONJ
cord-191574-1g38scnj	87	16	hence	hence	ADV
cord-191574-1g38scnj	87	17	we	we	PRON
cord-191574-1g38scnj	87	18	will	will	AUX
cord-191574-1g38scnj	87	19	not	not	PART
cord-191574-1g38scnj	87	20	present	present	VERB
cord-191574-1g38scnj	87	21	it	it	PRON
cord-191574-1g38scnj	87	22	.	.	PUNCT
cord-191574-1g38scnj	88	1	in	in	ADP
cord-191574-1g38scnj	88	2	the	the	DET
cord-191574-1g38scnj	88	3	following	following	NOUN
cord-191574-1g38scnj	88	4	we	we	PRON
cord-191574-1g38scnj	88	5	will	will	AUX
cord-191574-1g38scnj	88	6	look	look	VERB
cord-191574-1g38scnj	88	7	for	for	ADP
cord-191574-1g38scnj	88	8	a	a	DET
cord-191574-1g38scnj	88	9	series	series	NOUN
cord-191574-1g38scnj	88	10	solution	solution	NOUN
cord-191574-1g38scnj	88	11	of	of	ADP
cord-191574-1g38scnj	88	12	eq	eq	PROPN
cord-191574-1g38scnj	88	13	.	.	PUNCT
cord-191574-1g38scnj	89	1	(	(	PUNCT
cord-191574-1g38scnj	89	2	12	12	NUM
cord-191574-1g38scnj	89	3	)	)	PUNCT
cord-191574-1g38scnj	89	4	,	,	PUNCT
cord-191574-1g38scnj	89	5	by	by	ADP
cord-191574-1g38scnj	89	6	using	use	VERB
cord-191574-1g38scnj	89	7	the	the	DET
cord-191574-1g38scnj	89	8	laplace	laplace	NOUN
cord-191574-1g38scnj	89	9	-	-	PUNCT
cord-191574-1g38scnj	89	10	adomian	adomian	ADJ
cord-191574-1g38scnj	89	11	decomposition	decomposition	NOUN
cord-191574-1g38scnj	89	12	method	method	NOUN
cord-191574-1g38scnj	89	13	.	.	PUNCT
cord-191574-1g38scnj	90	1	in	in	ADP
cord-191574-1g38scnj	90	2	the	the	DET
cord-191574-1g38scnj	90	3	laplace	laplace	ADJ
cord-191574-1g38scnj	90	4	-	-	PUNCT
cord-191574-1g38scnj	90	5	adomian	adomian	ADJ
cord-191574-1g38scnj	90	6	decomposition	decomposition	NOUN
cord-191574-1g38scnj	90	7	method	method	NOUN
cord-191574-1g38scnj	90	8	we	we	PRON
cord-191574-1g38scnj	90	9	first	first	ADV
cord-191574-1g38scnj	90	10	apply	apply	VERB
cord-191574-1g38scnj	90	11	the	the	DET
cord-191574-1g38scnj	90	12	laplace	laplace	NOUN
cord-191574-1g38scnj	90	13	transformation	transformation	NOUN
cord-191574-1g38scnj	90	14	operator	operator	NOUN
cord-191574-1g38scnj	90	15	l	l	PROPN
cord-191574-1g38scnj	90	16	x	x	PROPN
cord-191574-1g38scnj	90	17	,	,	PUNCT
cord-191574-1g38scnj	90	18	defined	define	VERB
cord-191574-1g38scnj	90	19	as	as	ADP
cord-191574-1g38scnj	90	20	by	by	ADP
cord-191574-1g38scnj	90	21	using	use	VERB
cord-191574-1g38scnj	90	22	the	the	DET
cord-191574-1g38scnj	90	23	properties	property	NOUN
cord-191574-1g38scnj	90	24	of	of	ADP
cord-191574-1g38scnj	90	25	the	the	DET
cord-191574-1g38scnj	90	26	laplace	laplace	NOUN
cord-191574-1g38scnj	90	27	transform	transform	NOUN
cord-191574-1g38scnj	90	28	,	,	PUNCT
cord-191574-1g38scnj	90	29	giving	give	VERB
cord-191574-1g38scnj	90	30	for	for	ADP
cord-191574-1g38scnj	90	31	the	the	DET
cord-191574-1g38scnj	90	32	laplace	laplace	NOUN
cord-191574-1g38scnj	90	33	transform	transform	NOUN
cord-191574-1g38scnj	90	34	of	of	ADP
cord-191574-1g38scnj	90	35	u(t	u(t	PROPN
cord-191574-1g38scnj	90	36	)	)	PUNCT
cord-191574-1g38scnj	90	37	the	the	DET
cord-191574-1g38scnj	90	38	equation	equation	NOUN
cord-191574-1g38scnj	90	39	we	we	PRON
cord-191574-1g38scnj	90	40	assume	assume	VERB
cord-191574-1g38scnj	90	41	now	now	ADV
cord-191574-1g38scnj	90	42	that	that	SCONJ
cord-191574-1g38scnj	90	43	the	the	DET
cord-191574-1g38scnj	90	44	function	function	NOUN
cord-191574-1g38scnj	90	45	u(t	u(t	ADJ
cord-191574-1g38scnj	90	46	)	)	PUNCT
cord-191574-1g38scnj	90	47	can	can	AUX
cord-191574-1g38scnj	90	48	be	be	AUX
cord-191574-1g38scnj	90	49	represented	represent	VERB
cord-191574-1g38scnj	90	50	in	in	ADP
cord-191574-1g38scnj	90	51	the	the	DET
cord-191574-1g38scnj	90	52	form	form	NOUN
cord-191574-1g38scnj	90	53	of	of	ADP
cord-191574-1g38scnj	90	54	an	an	DET
cord-191574-1g38scnj	90	55	infinite	infinite	ADJ
cord-191574-1g38scnj	90	56	series	series	NOUN
cord-191574-1g38scnj	90	57	,	,	PUNCT
cord-191574-1g38scnj	90	58	where	where	SCONJ
cord-191574-1g38scnj	90	59	all	all	DET
cord-191574-1g38scnj	90	60	the	the	DET
cord-191574-1g38scnj	90	61	terms	term	NOUN
cord-191574-1g38scnj	90	62	v	v	ADP
cord-191574-1g38scnj	90	63	n	n	NOUN
cord-191574-1g38scnj	90	64	(	(	PUNCT
cord-191574-1g38scnj	90	65	t	t	PROPN
cord-191574-1g38scnj	90	66	)	)	PUNCT
cord-191574-1g38scnj	90	67	,	,	PUNCT
cord-191574-1g38scnj	90	68	n	n	NOUN
cord-191574-1g38scnj	90	69	=	=	NOUN
cord-191574-1g38scnj	90	70	0	0	NUM
cord-191574-1g38scnj	90	71	,	,	PUNCT
cord-191574-1g38scnj	90	72	1	1	NUM
cord-191574-1g38scnj	90	73	,	,	PUNCT
cord-191574-1g38scnj	90	74	2	2	NUM
cord-191574-1g38scnj	90	75	,	,	PUNCT
cord-191574-1g38scnj	90	76	...	...	PUNCT
cord-191574-1g38scnj	90	77	can	can	AUX
cord-191574-1g38scnj	90	78	be	be	AUX
cord-191574-1g38scnj	90	79	computed	compute	VERB
cord-191574-1g38scnj	90	80	recursively	recursively	ADV
cord-191574-1g38scnj	90	81	.	.	PUNCT
cord-191574-1g38scnj	91	1	as	as	ADP
cord-191574-1g38scnj	91	2	for	for	ADP
cord-191574-1g38scnj	91	3	the	the	DET
cord-191574-1g38scnj	91	4	nonlinear	nonlinear	ADJ
cord-191574-1g38scnj	91	5	operator	operator	NOUN
cord-191574-1g38scnj	91	6	f	f	PROPN
cord-191574-1g38scnj	91	7	(	(	PUNCT
cord-191574-1g38scnj	91	8	u(t	u(t	PROPN
cord-191574-1g38scnj	91	9	)	)	PUNCT
cord-191574-1g38scnj	91	10	)	)	PUNCT
cord-191574-1g38scnj	91	11	=	=	PUNCT
cord-191574-1g38scnj	91	12	e	e	NOUN
cord-191574-1g38scnj	91	13	u(t	u(t	PROPN
cord-191574-1g38scnj	91	14	)	)	PUNCT
cord-191574-1g38scnj	91	15	,	,	PUNCT
cord-191574-1g38scnj	91	16	we	we	PRON
cord-191574-1g38scnj	91	17	assume	assume	VERB
cord-191574-1g38scnj	91	18	that	that	SCONJ
cord-191574-1g38scnj	91	19	it	it	PRON
cord-191574-1g38scnj	91	20	can	can	AUX
cord-191574-1g38scnj	91	21	be	be	AUX
cord-191574-1g38scnj	91	22	decomposed	decompose	VERB
cord-191574-1g38scnj	91	23	as	as	ADP
cord-191574-1g38scnj	91	24	where	where	SCONJ
cord-191574-1g38scnj	91	25	a	a	DET
cord-191574-1g38scnj	91	26	n	n	NOUN
cord-191574-1g38scnj	91	27	(	(	PUNCT
cord-191574-1g38scnj	91	28	t	t	PROPN
cord-191574-1g38scnj	91	29	)	)	PUNCT
cord-191574-1g38scnj	91	30	are	be	AUX
cord-191574-1g38scnj	91	31	the	the	DET
cord-191574-1g38scnj	91	32	adomian	adomian	ADJ
cord-191574-1g38scnj	91	33	polynomials	polynomial	NOUN
cord-191574-1g38scnj	91	34	,	,	PUNCT
cord-191574-1g38scnj	91	35	defined	define	VERB
cord-191574-1g38scnj	91	36	according	accord	VERB
cord-191574-1g38scnj	91	37	to	to	ADP
cord-191574-1g38scnj	91	38	eq	eq	PROPN
cord-191574-1g38scnj	91	39	.	.	PUNCT
cord-191574-1g38scnj	92	1	(	(	PUNCT
cord-191574-1g38scnj	92	2	22	22	NUM
cord-191574-1g38scnj	92	3	)	)	PUNCT
cord-191574-1g38scnj	92	4	.	.	PUNCT
cord-191574-1g38scnj	93	1	the	the	DET
cord-191574-1g38scnj	93	2	first	first	ADJ
cord-191574-1g38scnj	93	3	five	five	NUM
cord-191574-1g38scnj	93	4	adomian	adomian	ADJ
cord-191574-1g38scnj	93	5	polynomials	polynomial	NOUN
cord-191574-1g38scnj	93	6	can	can	AUX
cord-191574-1g38scnj	93	7	be	be	AUX
cord-191574-1g38scnj	93	8	obtained	obtain	VERB
cord-191574-1g38scnj	93	9	in	in	ADP
cord-191574-1g38scnj	93	10	the	the	DET
cord-191574-1g38scnj	93	11	following	follow	VERB
cord-191574-1g38scnj	93	12	form	form	NOUN
cord-191574-1g38scnj	93	13	,	,	PUNCT
cord-191574-1g38scnj	93	14	substituting	substitute	VERB
cord-191574-1g38scnj	93	15	eqs	eqs	PROPN
cord-191574-1g38scnj	93	16	.	.	PUNCT
cord-191574-1g38scnj	94	1	(	(	PUNCT
cord-191574-1g38scnj	94	2	40	40	NUM
cord-191574-1g38scnj	94	3	)	)	PUNCT
cord-191574-1g38scnj	94	4	and	and	CCONJ
cord-191574-1g38scnj	94	5	(	(	PUNCT
cord-191574-1g38scnj	94	6	41	41	NUM
cord-191574-1g38scnj	94	7	)	)	PUNCT
cord-191574-1g38scnj	94	8	into	into	ADP
cord-191574-1g38scnj	94	9	eq	eq	PROPN
cord-191574-1g38scnj	94	10	.	.	PUNCT
cord-191574-1g38scnj	94	11	(	(	PUNCT
cord-191574-1g38scnj	94	12	39	39	NUM
cord-191574-1g38scnj	94	13	)	)	PUNCT
cord-191574-1g38scnj	94	14	we	we	PRON
cord-191574-1g38scnj	94	15	obtain	obtain	VERB
cord-191574-1g38scnj	94	16	the	the	DET
cord-191574-1g38scnj	94	17	matching	matching	NOUN
cord-191574-1g38scnj	94	18	of	of	ADP
cord-191574-1g38scnj	94	19	both	both	DET
cord-191574-1g38scnj	94	20	sides	side	NOUN
cord-191574-1g38scnj	94	21	of	of	ADP
cord-191574-1g38scnj	94	22	eq	eq	PROPN
cord-191574-1g38scnj	94	23	.	.	PUNCT
cord-191574-1g38scnj	95	1	(	(	PUNCT
cord-191574-1g38scnj	95	2	47	47	NUM
cord-191574-1g38scnj	95	3	)	)	PUNCT
cord-191574-1g38scnj	95	4	gives	give	VERB
cord-191574-1g38scnj	95	5	the	the	DET
cord-191574-1g38scnj	95	6	following	follow	VERB
cord-191574-1g38scnj	95	7	iterative	iterative	ADJ
cord-191574-1g38scnj	95	8	algorithm	algorithm	NOUN
cord-191574-1g38scnj	95	9	for	for	ADP
cord-191574-1g38scnj	95	10	obtaining	obtain	VERB
cord-191574-1g38scnj	95	11	the	the	DET
cord-191574-1g38scnj	95	12	power	power	NOUN
cord-191574-1g38scnj	95	13	series	series	NOUN
cord-191574-1g38scnj	95	14	solution	solution	NOUN
cord-191574-1g38scnj	95	15	of	of	ADP
cord-191574-1g38scnj	95	16	the	the	DET
cord-191574-1g38scnj	95	17	basic	basic	ADJ
cord-191574-1g38scnj	95	18	evolution	evolution	NOUN
cord-191574-1g38scnj	95	19	equation	equation	NOUN
cord-191574-1g38scnj	95	20	of	of	ADP
cord-191574-1g38scnj	95	21	the	the	DET
cord-191574-1g38scnj	95	22	sir	sir	PROPN
cord-191574-1g38scnj	95	23	model	model	NOUN
cord-191574-1g38scnj	95	24	with	with	ADP
cord-191574-1g38scnj	95	25	vital	vital	ADJ
cord-191574-1g38scnj	95	26	dynamics	dynamic	NOUN
cord-191574-1g38scnj	95	27	,	,	PUNCT
cord-191574-1g38scnj	95	28	...	...	PUNCT
cord-191574-1g38scnj	95	29	by	by	ADP
cord-191574-1g38scnj	95	30	applying	apply	VERB
cord-191574-1g38scnj	95	31	the	the	DET
cord-191574-1g38scnj	95	32	inverse	inverse	ADJ
cord-191574-1g38scnj	95	33	laplace	laplace	NOUN
cord-191574-1g38scnj	95	34	transformation	transformation	NOUN
cord-191574-1g38scnj	95	35	to	to	ADP
cord-191574-1g38scnj	95	36	eq	eq	PROPN
cord-191574-1g38scnj	95	37	.	.	PUNCT
cord-191574-1g38scnj	96	1	(	(	PUNCT
cord-191574-1g38scnj	96	2	48	48	NUM
cord-191574-1g38scnj	96	3	)	)	PUNCT
cord-191574-1g38scnj	96	4	,	,	PUNCT
cord-191574-1g38scnj	96	5	we	we	PRON
cord-191574-1g38scnj	96	6	obtain	obtain	VERB
cord-191574-1g38scnj	96	7	the	the	DET
cord-191574-1g38scnj	96	8	expression	expression	NOUN
cord-191574-1g38scnj	96	9	of	of	ADP
cord-191574-1g38scnj	96	10	u	u	NOUN
cord-191574-1g38scnj	96	11	0	0	NUM
cord-191574-1g38scnj	97	1	(	(	PUNCT
cord-191574-1g38scnj	97	2	t	t	NOUN
cord-191574-1g38scnj	97	3	)	)	PUNCT
cord-191574-1g38scnj	97	4	as	as	SCONJ
cord-191574-1g38scnj	97	5	we	we	PRON
cord-191574-1g38scnj	97	6	expand	expand	VERB
cord-191574-1g38scnj	97	7	the	the	DET
cord-191574-1g38scnj	97	8	term	term	NOUN
cord-191574-1g38scnj	97	9	(	(	PUNCT
cord-191574-1g38scnj	97	10	β	β	NOUN
cord-191574-1g38scnj	97	11	n	n	NOUN
cord-191574-1g38scnj	97	12	3	3	NUM
cord-191574-1g38scnj	97	13	/µn	/µn	PUNCT
cord-191574-1g38scnj	97	14	)	)	PUNCT
cord-191574-1g38scnj	97	15	e	e	PROPN
cord-191574-1g38scnj	98	1	−µt	−µt	PROPN
cord-191574-1g38scnj	98	2	in	in	ADP
cord-191574-1g38scnj	98	3	power	power	NOUN
cord-191574-1g38scnj	98	4	series	series	PROPN
cord-191574-1g38scnj	98	5	,	,	PUNCT
cord-191574-1g38scnj	98	6	and	and	CCONJ
cord-191574-1g38scnj	98	7	hence	hence	ADV
cord-191574-1g38scnj	98	8	in	in	ADP
cord-191574-1g38scnj	98	9	the	the	DET
cord-191574-1g38scnj	98	10	first	first	ADJ
cord-191574-1g38scnj	98	11	order	order	NOUN
cord-191574-1g38scnj	98	12	approximation	approximation	NOUN
cord-191574-1g38scnj	98	13	we	we	PRON
cord-191574-1g38scnj	98	14	obtain	obtain	VERB
cord-191574-1g38scnj	98	15	the	the	DET
cord-191574-1g38scnj	98	16	first	first	ADJ
cord-191574-1g38scnj	98	17	adomian	adomian	ADJ
cord-191574-1g38scnj	98	18	polynomial	polynomial	NOUN
cord-191574-1g38scnj	98	19	is	be	AUX
cord-191574-1g38scnj	98	20	given	give	VERB
cord-191574-1g38scnj	98	21	by	by	ADP
cord-191574-1g38scnj	98	22	therefore	therefore	ADV
cord-191574-1g38scnj	98	23	,	,	PUNCT
cord-191574-1g38scnj	98	24	within	within	ADP
cord-191574-1g38scnj	98	25	the	the	DET
cord-191574-1g38scnj	98	26	adopted	adopt	VERB
cord-191574-1g38scnj	98	27	approximation	approximation	NOUN
cord-191574-1g38scnj	98	28	,	,	PUNCT
cord-191574-1g38scnj	98	29	we	we	PRON
cord-191574-1g38scnj	98	30	immediately	immediately	ADV
cord-191574-1g38scnj	98	31	obtain	obtain	VERB
cord-191574-1g38scnj	98	32	the	the	DET
cord-191574-1g38scnj	98	33	second	second	ADJ
cord-191574-1g38scnj	98	34	adomian	adomian	ADJ
cord-191574-1g38scnj	98	35	polynomial	polynomial	NOUN
cord-191574-1g38scnj	98	36	is	be	AUX
cord-191574-1g38scnj	98	37	obtained	obtain	VERB
cord-191574-1g38scnj	98	38	as	as	ADP
cord-191574-1g38scnj	98	39	and	and	CCONJ
cord-191574-1g38scnj	98	40	thus	thus	ADV
cord-191574-1g38scnj	98	41	we	we	PRON
cord-191574-1g38scnj	98	42	find	find	VERB
cord-191574-1g38scnj	98	43	similarly	similarly	ADV
cord-191574-1g38scnj	98	44	,	,	PUNCT
cord-191574-1g38scnj	98	45	after	after	ADP
cord-191574-1g38scnj	98	46	computing	compute	VERB
cord-191574-1g38scnj	98	47	the	the	DET
cord-191574-1g38scnj	98	48	third	third	ADJ
cord-191574-1g38scnj	98	49	adomian	adomian	ADJ
cord-191574-1g38scnj	98	50	polynomial	polynomial	NOUN
cord-191574-1g38scnj	98	51	,	,	PUNCT
cord-191574-1g38scnj	98	52	given	give	VERB
cord-191574-1g38scnj	98	53	by	by	ADP
cord-191574-1g38scnj	98	54	we	we	PRON
cord-191574-1g38scnj	98	55	obtain	obtain	VERB
cord-191574-1g38scnj	98	56	u	u	NOUN
cord-191574-1g38scnj	98	57	3	3	NUM
cord-191574-1g38scnj	98	58	(	(	PUNCT
cord-191574-1g38scnj	98	59	t	t	NOUN
cord-191574-1g38scnj	98	60	)	)	PUNCT
cord-191574-1g38scnj	98	61	.	.	PUNCT
cord-191574-1g38scnj	99	1	the	the	DET
cord-191574-1g38scnj	99	2	higher	high	ADJ
cord-191574-1g38scnj	99	3	order	order	NOUN
cord-191574-1g38scnj	99	4	terms	term	NOUN
cord-191574-1g38scnj	99	5	in	in	ADP
cord-191574-1g38scnj	99	6	the	the	DET
cord-191574-1g38scnj	99	7	laplace	laplace	NOUN
cord-191574-1g38scnj	99	8	-	-	PUNCT
cord-191574-1g38scnj	99	9	adomian	adomian	ADJ
cord-191574-1g38scnj	99	10	power	power	NOUN
cord-191574-1g38scnj	99	11	series	series	NOUN
cord-191574-1g38scnj	99	12	representation	representation	NOUN
cord-191574-1g38scnj	99	13	of	of	ADP
cord-191574-1g38scnj	99	14	u(t	u(t	PROPN
cord-191574-1g38scnj	99	15	)	)	PUNCT
cord-191574-1g38scnj	99	16	can	can	AUX
cord-191574-1g38scnj	99	17	be	be	AUX
cord-191574-1g38scnj	99	18	obtained	obtain	VERB
cord-191574-1g38scnj	99	19	by	by	ADP
cord-191574-1g38scnj	99	20	following	follow	VERB
cord-191574-1g38scnj	99	21	the	the	DET
cord-191574-1g38scnj	99	22	same	same	ADJ
cord-191574-1g38scnj	99	23	approach	approach	NOUN
cord-191574-1g38scnj	99	24	,	,	PUNCT
cord-191574-1g38scnj	99	25	but	but	CCONJ
cord-191574-1g38scnj	99	26	due	due	ADP
cord-191574-1g38scnj	99	27	to	to	ADP
cord-191574-1g38scnj	99	28	their	their	PRON
cord-191574-1g38scnj	99	29	length	length	NOUN
cord-191574-1g38scnj	99	30	we	we	PRON
cord-191574-1g38scnj	99	31	will	will	AUX
cord-191574-1g38scnj	99	32	not	not	PART
cord-191574-1g38scnj	99	33	present	present	VERB
cord-191574-1g38scnj	99	34	them	they	PRON
cord-191574-1g38scnj	99	35	here	here	ADV
cord-191574-1g38scnj	99	36	.	.	PUNCT
cord-191574-1g38scnj	100	1	hence	hence	ADV
cord-191574-1g38scnj	100	2	,	,	PUNCT
cord-191574-1g38scnj	100	3	once	once	SCONJ
cord-191574-1g38scnj	100	4	the	the	DET
cord-191574-1g38scnj	100	5	expressions	expression	NOUN
cord-191574-1g38scnj	100	6	of	of	ADP
cord-191574-1g38scnj	100	7	the	the	DET
cord-191574-1g38scnj	100	8	terms	term	NOUN
cord-191574-1g38scnj	100	9	u	u	PROPN
cord-191574-1g38scnj	100	10	n	n	PROPN
cord-191574-1g38scnj	100	11	(	(	PUNCT
cord-191574-1g38scnj	100	12	t	t	PROPN
cord-191574-1g38scnj	100	13	)	)	PUNCT
cord-191574-1g38scnj	100	14	,	,	PUNCT
cord-191574-1g38scnj	100	15	n	n	NOUN
cord-191574-1g38scnj	100	16	=	=	NOUN
cord-191574-1g38scnj	100	17	0	0	NUM
cord-191574-1g38scnj	100	18	,	,	PUNCT
cord-191574-1g38scnj	100	19	1	1	NUM
cord-191574-1g38scnj	100	20	,	,	PUNCT
cord-191574-1g38scnj	100	21	2	2	NUM
cord-191574-1g38scnj	100	22	,	,	PUNCT
cord-191574-1g38scnj	100	23	..	..	PUNCT
cord-191574-1g38scnj	100	24	in	in	ADP
cord-191574-1g38scnj	100	25	the	the	DET
cord-191574-1g38scnj	100	26	adomian	adomian	ADJ
cord-191574-1g38scnj	100	27	decomposition	decomposition	NOUN
cord-191574-1g38scnj	100	28	are	be	AUX
cord-191574-1g38scnj	100	29	known	know	VERB
cord-191574-1g38scnj	100	30	,	,	PUNCT
cord-191574-1g38scnj	100	31	the	the	DET
cord-191574-1g38scnj	100	32	approximate	approximate	ADJ
cord-191574-1g38scnj	100	33	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	100	34	solution	solution	NOUN
cord-191574-1g38scnj	100	35	of	of	ADP
cord-191574-1g38scnj	100	36	the	the	DET
cord-191574-1g38scnj	100	37	sir	sir	PROPN
cord-191574-1g38scnj	100	38	model	model	NOUN
cord-191574-1g38scnj	100	39	with	with	ADP
cord-191574-1g38scnj	100	40	vital	vital	ADJ
cord-191574-1g38scnj	100	41	dynamics	dynamic	NOUN
cord-191574-1g38scnj	100	42	can	can	AUX
cord-191574-1g38scnj	100	43	be	be	AUX
cord-191574-1g38scnj	100	44	obtained	obtain	VERB
cord-191574-1g38scnj	100	45	as	as	ADP
cord-191574-1g38scnj	100	46	the	the	DET
cord-191574-1g38scnj	100	47	present	present	ADJ
cord-191574-1g38scnj	100	48	laplace	laplace	NOUN
cord-191574-1g38scnj	100	49	-	-	PUNCT
cord-191574-1g38scnj	100	50	adomian	adomian	ADJ
cord-191574-1g38scnj	100	51	series	series	NOUN
cord-191574-1g38scnj	100	52	solution	solution	NOUN
cord-191574-1g38scnj	100	53	is	be	AUX
cord-191574-1g38scnj	100	54	valid	valid	ADJ
cord-191574-1g38scnj	100	55	only	only	ADV
cord-191574-1g38scnj	100	56	for	for	ADP
cord-191574-1g38scnj	100	57	some	some	DET
cord-191574-1g38scnj	100	58	specific	specific	ADJ
cord-191574-1g38scnj	100	59	ranges	range	NOUN
cord-191574-1g38scnj	100	60	of	of	ADP
cord-191574-1g38scnj	100	61	the	the	DET
cord-191574-1g38scnj	100	62	model	model	NOUN
cord-191574-1g38scnj	100	63	parameters	parameter	NOUN
cord-191574-1g38scnj	100	64	(	(	PUNCT
cord-191574-1g38scnj	100	65	β	β	PROPN
cord-191574-1g38scnj	100	66	,	,	PUNCT
cord-191574-1g38scnj	100	67	γ	γ	PROPN
cord-191574-1g38scnj	100	68	,	,	PUNCT
cord-191574-1g38scnj	100	69	µ	µ	PROPN
cord-191574-1g38scnj	100	70	)	)	PUNCT
cord-191574-1g38scnj	100	71	and	and	CCONJ
cord-191574-1g38scnj	100	72	of	of	ADP
cord-191574-1g38scnj	100	73	initial	initial	ADJ
cord-191574-1g38scnj	100	74	conditions	condition	NOUN
cord-191574-1g38scnj	100	75	(	(	PUNCT
cord-191574-1g38scnj	100	76	n	n	NOUN
cord-191574-1g38scnj	100	77	1	1	NUM
cord-191574-1g38scnj	100	78	,	,	PUNCT
cord-191574-1g38scnj	100	79	n	n	NOUN
cord-191574-1g38scnj	100	80	2	2	NUM
cord-191574-1g38scnj	100	81	,	,	PUNCT
cord-191574-1g38scnj	100	82	n	n	NOUN
cord-191574-1g38scnj	100	83	3	3	NUM
cord-191574-1g38scnj	100	84	)	)	PUNCT
cord-191574-1g38scnj	100	85	.	.	PUNCT
cord-191574-1g38scnj	101	1	if	if	SCONJ
cord-191574-1g38scnj	101	2	(	(	PUNCT
cord-191574-1g38scnj	101	3	n	n	ADV
cord-191574-1g38scnj	101	4	1	1	NUM
cord-191574-1g38scnj	101	5	+	+	NUM
cord-191574-1g38scnj	101	6	n	n	NOUN
cord-191574-1g38scnj	101	7	2	2	NUM
cord-191574-1g38scnj	101	8	)	)	PUNCT
cord-191574-1g38scnj	101	9	n	n	ADV
cord-191574-1g38scnj	101	10	>	>	PROPN
cord-191574-1g38scnj	101	11	(	(	PUNCT
cord-191574-1g38scnj	101	12	γ	γ	NOUN
cord-191574-1g38scnj	101	13	+	+	CCONJ
cord-191574-1g38scnj	101	14	µ	µ	NOUN
cord-191574-1g38scnj	101	15	)	)	PUNCT
cord-191574-1g38scnj	101	16	/β	/β	PUNCT
cord-191574-1g38scnj	101	17	,	,	PUNCT
cord-191574-1g38scnj	101	18	or	or	CCONJ
cord-191574-1g38scnj	101	19	(	(	PUNCT
cord-191574-1g38scnj	101	20	n	n	NOUN
cord-191574-1g38scnj	101	21	1	1	NUM
cord-191574-1g38scnj	101	22	+	+	NUM
cord-191574-1g38scnj	101	23	n	n	NOUN
cord-191574-1g38scnj	101	24	2	2	NUM
cord-191574-1g38scnj	101	25	)	)	PUNCT
cord-191574-1g38scnj	101	26	n	n	ADV
cord-191574-1g38scnj	101	27	>	>	PROPN
cord-191574-1g38scnj	101	28	(	(	PUNCT
cord-191574-1g38scnj	101	29	γ	γ	NOUN
cord-191574-1g38scnj	101	30	+	+	SYM
cord-191574-1g38scnj	101	31	2µ)/β	2µ)/β	NUM
cord-191574-1g38scnj	101	32	,	,	PUNCT
cord-191574-1g38scnj	101	33	the	the	DET
cord-191574-1g38scnj	101	34	exponential	exponential	ADJ
cord-191574-1g38scnj	101	35	functions	function	NOUN
cord-191574-1g38scnj	101	36	in	in	ADP
cord-191574-1g38scnj	101	37	eq	eq	PROPN
cord-191574-1g38scnj	101	38	.	.	PUNCT
cord-191574-1g38scnj	101	39	(	(	PUNCT
cord-191574-1g38scnj	101	40	57	57	NUM
cord-191574-1g38scnj	101	41	)	)	PUNCT
cord-191574-1g38scnj	101	42	do	do	AUX
cord-191574-1g38scnj	101	43	diverge	diverge	VERB
cord-191574-1g38scnj	101	44	in	in	ADP
cord-191574-1g38scnj	101	45	the	the	DET
cord-191574-1g38scnj	101	46	long	long	ADJ
cord-191574-1g38scnj	101	47	time	time	NOUN
cord-191574-1g38scnj	101	48	limit	limit	NOUN
cord-191574-1g38scnj	101	49	.	.	PUNCT
cord-191574-1g38scnj	102	1	similarly	similarly	ADV
cord-191574-1g38scnj	102	2	,	,	PUNCT
cord-191574-1g38scnj	102	3	for	for	ADP
cord-191574-1g38scnj	102	4	n	n	NOUN
cord-191574-1g38scnj	102	5	2	2	NUM
cord-191574-1g38scnj	102	6	)	)	PUNCT
cord-191574-1g38scnj	102	7	,	,	PUNCT
cord-191574-1g38scnj	102	8	singularities	singularity	NOUN
cord-191574-1g38scnj	102	9	develop	develop	VERB
cord-191574-1g38scnj	102	10	in	in	ADP
cord-191574-1g38scnj	102	11	the	the	DET
cord-191574-1g38scnj	102	12	adomian	adomian	ADJ
cord-191574-1g38scnj	102	13	series	series	NOUN
cord-191574-1g38scnj	102	14	.	.	PUNCT
cord-191574-1g38scnj	103	1	in	in	ADP
cord-191574-1g38scnj	103	2	the	the	DET
cord-191574-1g38scnj	103	3	present	present	ADJ
cord-191574-1g38scnj	103	4	section	section	NOUN
cord-191574-1g38scnj	103	5	we	we	PRON
cord-191574-1g38scnj	103	6	compare	compare	VERB
cord-191574-1g38scnj	103	7	the	the	DET
cord-191574-1g38scnj	103	8	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	103	9	predictions	prediction	NOUN
cord-191574-1g38scnj	103	10	of	of	ADP
cord-191574-1g38scnj	103	11	the	the	DET
cord-191574-1g38scnj	103	12	adomian	adomian	NOUN
cord-191574-1g38scnj	103	13	and	and	CCONJ
cord-191574-1g38scnj	103	14	laplace	laplace	NOUN
cord-191574-1g38scnj	103	15	adomian	adomian	ADJ
cord-191574-1g38scnj	103	16	decomposition	decomposition	NOUN
cord-191574-1g38scnj	103	17	methods	method	NOUN
cord-191574-1g38scnj	103	18	as	as	SCONJ
cord-191574-1g38scnj	103	19	applied	apply	VERB
cord-191574-1g38scnj	103	20	to	to	ADP
cord-191574-1g38scnj	103	21	the	the	DET
cord-191574-1g38scnj	103	22	sir	sir	PROPN
cord-191574-1g38scnj	103	23	model	model	NOUN
cord-191574-1g38scnj	103	24	with	with	ADP
cord-191574-1g38scnj	103	25	vital	vital	ADJ
cord-191574-1g38scnj	103	26	dynamics	dynamic	NOUN
cord-191574-1g38scnj	103	27	with	with	ADP
cord-191574-1g38scnj	103	28	the	the	DET
cord-191574-1g38scnj	103	29	exact	exact	ADJ
cord-191574-1g38scnj	103	30	numerical	numerical	ADJ
cord-191574-1g38scnj	103	31	solutions	solution	NOUN
cord-191574-1g38scnj	103	32	,	,	PUNCT
cord-191574-1g38scnj	103	33	obtained	obtain	VERB
cord-191574-1g38scnj	103	34	by	by	ADP
cord-191574-1g38scnj	103	35	numerically	numerically	ADV
cord-191574-1g38scnj	103	36	integrating	integrate	VERB
cord-191574-1g38scnj	103	37	the	the	DET
cord-191574-1g38scnj	103	38	system	system	NOUN
cord-191574-1g38scnj	103	39	of	of	ADP
cord-191574-1g38scnj	103	40	equations	equation	NOUN
cord-191574-1g38scnj	103	41	(	(	PUNCT
cord-191574-1g38scnj	103	42	3)-(5	3)-(5	NUM
cord-191574-1g38scnj	103	43	)	)	PUNCT
cord-191574-1g38scnj	103	44	.	.	PUNCT
cord-191574-1g38scnj	104	1	in	in	ADP
cord-191574-1g38scnj	104	2	the	the	DET
cord-191574-1g38scnj	104	3	case	case	NOUN
cord-191574-1g38scnj	104	4	of	of	ADP
cord-191574-1g38scnj	104	5	the	the	DET
cord-191574-1g38scnj	104	6	adomian	adomian	ADJ
cord-191574-1g38scnj	104	7	decomposition	decomposition	NOUN
cord-191574-1g38scnj	104	8	method	method	NOUN
cord-191574-1g38scnj	104	9	we	we	PRON
cord-191574-1g38scnj	104	10	will	will	AUX
cord-191574-1g38scnj	104	11	approximate	approximate	VERB
cord-191574-1g38scnj	104	12	the	the	DET
cord-191574-1g38scnj	104	13	solution	solution	NOUN
cord-191574-1g38scnj	104	14	by	by	ADP
cord-191574-1g38scnj	104	15	using	use	VERB
cord-191574-1g38scnj	104	16	only	only	ADV
cord-191574-1g38scnj	104	17	two	two	NUM
cord-191574-1g38scnj	104	18	first	first	ADJ
cord-191574-1g38scnj	104	19	two	two	NUM
cord-191574-1g38scnj	104	20	terms	term	NOUN
cord-191574-1g38scnj	104	21	in	in	ADP
cord-191574-1g38scnj	104	22	the	the	DET
cord-191574-1g38scnj	104	23	adomian	adomian	ADJ
cord-191574-1g38scnj	104	24	iterative	iterative	NOUN
cord-191574-1g38scnj	104	25	scheme	scheme	NOUN
cord-191574-1g38scnj	104	26	.	.	PUNCT
cord-191574-1g38scnj	105	1	however	however	ADV
cord-191574-1g38scnj	105	2	,	,	PUNCT
cord-191574-1g38scnj	105	3	we	we	PRON
cord-191574-1g38scnj	105	4	will	will	AUX
cord-191574-1g38scnj	105	5	also	also	ADV
cord-191574-1g38scnj	105	6	add	add	VERB
cord-191574-1g38scnj	105	7	to	to	ADP
cord-191574-1g38scnj	105	8	the	the	DET
cord-191574-1g38scnj	105	9	series	series	NOUN
cord-191574-1g38scnj	105	10	solution	solution	NOUN
cord-191574-1g38scnj	105	11	a	a	DET
cord-191574-1g38scnj	105	12	truncation	truncation	NOUN
cord-191574-1g38scnj	105	13	of	of	ADP
cord-191574-1g38scnj	105	14	the	the	DET
cord-191574-1g38scnj	105	15	term	term	NOUN
cord-191574-1g38scnj	105	16	u	u	NOUN
cord-191574-1g38scnj	105	17	2	2	NUM
cord-191574-1g38scnj	105	18	,	,	PUNCT
cord-191574-1g38scnj	105	19	approximated	approximate	VERB
cord-191574-1g38scnj	105	20	by	by	ADP
cord-191574-1g38scnj	105	21	u	u	PROPN
cord-191574-1g38scnj	105	22	2	2	NUM
cord-191574-1g38scnj	105	23	(	(	PUNCT
cord-191574-1g38scnj	105	24	t	t	NOUN
cord-191574-1g38scnj	105	25	)	)	PUNCT
cord-191574-1g38scnj	106	1	≈	≈	PROPN
cord-191574-1g38scnj	106	2	−µ	−µ	PROPN
cord-191574-1g38scnj	106	3	t	t	PROPN
cord-191574-1g38scnj	106	4	0	0	NUM
cord-191574-1g38scnj	106	5	u	u	NOUN
cord-191574-1g38scnj	106	6	1	1	NUM
cord-191574-1g38scnj	106	7	(	(	PUNCT
cord-191574-1g38scnj	106	8	t)dt	t)dt	PROPN
cord-191574-1g38scnj	106	9	.	.	PUNCT
cord-191574-1g38scnj	107	1	hence	hence	ADV
cord-191574-1g38scnj	107	2	we	we	PRON
cord-191574-1g38scnj	107	3	approximate	approximate	VERB
cord-191574-1g38scnj	107	4	the	the	DET
cord-191574-1g38scnj	107	5	adomian	adomian	ADJ
cord-191574-1g38scnj	107	6	solution	solution	NOUN
cord-191574-1g38scnj	107	7	of	of	ADP
cord-191574-1g38scnj	107	8	the	the	DET
cord-191574-1g38scnj	107	9	basic	basic	ADJ
cord-191574-1g38scnj	107	10	evolution	evolution	NOUN
cord-191574-1g38scnj	107	11	equation	equation	NOUN
cord-191574-1g38scnj	107	12	of	of	ADP
cord-191574-1g38scnj	107	13	the	the	DET
cord-191574-1g38scnj	107	14	sir	sir	PROPN
cord-191574-1g38scnj	107	15	model	model	NOUN
cord-191574-1g38scnj	107	16	with	with	ADP
cord-191574-1g38scnj	107	17	vital	vital	ADJ
cord-191574-1g38scnj	107	18	dynamics	dynamic	NOUN
cord-191574-1g38scnj	107	19	as	as	SCONJ
cord-191574-1g38scnj	107	20	the	the	DET
cord-191574-1g38scnj	107	21	comparison	comparison	NOUN
cord-191574-1g38scnj	107	22	of	of	ADP
cord-191574-1g38scnj	107	23	the	the	DET
cord-191574-1g38scnj	107	24	numerical	numerical	ADJ
cord-191574-1g38scnj	107	25	and	and	CCONJ
cord-191574-1g38scnj	107	26	of	of	ADP
cord-191574-1g38scnj	107	27	the	the	DET
cord-191574-1g38scnj	107	28	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	107	29	adomian	adomian	ADJ
cord-191574-1g38scnj	107	30	approximate	approximate	ADJ
cord-191574-1g38scnj	107	31	solution	solution	NOUN
cord-191574-1g38scnj	107	32	is	be	AUX
cord-191574-1g38scnj	107	33	presented	present	VERB
cord-191574-1g38scnj	107	34	,	,	PUNCT
cord-191574-1g38scnj	107	35	for	for	ADP
cord-191574-1g38scnj	107	36	different	different	ADJ
cord-191574-1g38scnj	107	37	values	value	NOUN
cord-191574-1g38scnj	107	38	of	of	ADP
cord-191574-1g38scnj	107	39	the	the	DET
cord-191574-1g38scnj	107	40	model	model	NOUN
cord-191574-1g38scnj	107	41	parameters	parameter	NOUN
cord-191574-1g38scnj	107	42	β	β	NOUN
cord-191574-1g38scnj	107	43	,	,	PUNCT
cord-191574-1g38scnj	107	44	γ	γ	PROPN
cord-191574-1g38scnj	107	45	and	and	CCONJ
cord-191574-1g38scnj	107	46	µ	µ	NOUN
cord-191574-1g38scnj	107	47	in	in	ADP
cord-191574-1g38scnj	107	48	fig	fig	NOUN
cord-191574-1g38scnj	107	49	.	.	PUNCT
cord-191574-1g38scnj	108	1	1	1	NUM
cord-191574-1g38scnj	108	2	.	.	PUNCT
cord-191574-1g38scnj	109	1	(	(	PUNCT
cord-191574-1g38scnj	109	2	or	or	CCONJ
cord-191574-1g38scnj	109	3	a	a	DET
cord-191574-1g38scnj	109	4	vaccine	vaccine	NOUN
cord-191574-1g38scnj	109	5	)	)	PUNCT
cord-191574-1g38scnj	109	6	for	for	ADP
cord-191574-1g38scnj	109	7	it	it	PRON
cord-191574-1g38scnj	109	8	is	be	AUX
cord-191574-1g38scnj	109	9	mostly	mostly	ADV
cord-191574-1g38scnj	109	10	a	a	DET
cord-191574-1g38scnj	109	11	medical	medical	ADJ
cord-191574-1g38scnj	109	12	/	/	SYM
cord-191574-1g38scnj	109	13	biological	biological	ADJ
cord-191574-1g38scnj	109	14	/	/	SYM
cord-191574-1g38scnj	109	15	virusological	virusological	ADJ
cord-191574-1g38scnj	109	16	problem	problem	NOUN
cord-191574-1g38scnj	109	17	,	,	PUNCT
cord-191574-1g38scnj	109	18	the	the	DET
cord-191574-1g38scnj	109	19	understanding	understanding	NOUN
cord-191574-1g38scnj	109	20	of	of	ADP
cord-191574-1g38scnj	109	21	the	the	DET
cord-191574-1g38scnj	109	22	spread	spread	NOUN
cord-191574-1g38scnj	109	23	of	of	ADP
cord-191574-1g38scnj	109	24	the	the	DET
cord-191574-1g38scnj	109	25	epidemics	epidemic	NOUN
cord-191574-1g38scnj	109	26	may	may	AUX
cord-191574-1g38scnj	109	27	lead	lead	VERB
cord-191574-1g38scnj	109	28	to	to	ADP
cord-191574-1g38scnj	109	29	the	the	DET
cord-191574-1g38scnj	109	30	adoption	adoption	NOUN
cord-191574-1g38scnj	109	31	/	/	SYM
cord-191574-1g38scnj	109	32	imposition	imposition	NOUN
cord-191574-1g38scnj	109	33	of	of	ADP
cord-191574-1g38scnj	109	34	quarantine	quarantine	NOUN
cord-191574-1g38scnj	109	35	or	or	CCONJ
cord-191574-1g38scnj	109	36	safety	safety	NOUN
cord-191574-1g38scnj	109	37	measures	measure	NOUN
cord-191574-1g38scnj	109	38	that	that	PRON
cord-191574-1g38scnj	109	39	could	could	AUX
cord-191574-1g38scnj	109	40	drastically	drastically	ADV
cord-191574-1g38scnj	109	41	reduce	reduce	VERB
cord-191574-1g38scnj	109	42	its	its	PRON
cord-191574-1g38scnj	109	43	intensity	intensity	NOUN
cord-191574-1g38scnj	109	44	.	.	PUNCT
cord-191574-1g38scnj	110	1	in	in	ADP
cord-191574-1g38scnj	110	2	this	this	DET
cord-191574-1g38scnj	110	3	context	context	NOUN
cord-191574-1g38scnj	110	4	the	the	DET
cord-191574-1g38scnj	110	5	mathematical	mathematical	ADJ
cord-191574-1g38scnj	110	6	epidemiological	epidemiological	ADJ
cord-191574-1g38scnj	110	7	models	model	NOUN
cord-191574-1g38scnj	110	8	could	could	AUX
cord-191574-1g38scnj	110	9	play	play	VERB
cord-191574-1g38scnj	110	10	an	an	DET
cord-191574-1g38scnj	110	11	important	important	ADJ
cord-191574-1g38scnj	110	12	role	role	NOUN
cord-191574-1g38scnj	110	13	,	,	PUNCT
cord-191574-1g38scnj	110	14	since	since	SCONJ
cord-191574-1g38scnj	110	15	a	a	DET
cord-191574-1g38scnj	110	16	successful	successful	ADJ
cord-191574-1g38scnj	110	17	modeling	modeling	NOUN
cord-191574-1g38scnj	110	18	of	of	ADP
cord-191574-1g38scnj	110	19	the	the	DET
cord-191574-1g38scnj	110	20	spread	spread	NOUN
cord-191574-1g38scnj	110	21	of	of	ADP
cord-191574-1g38scnj	110	22	the	the	DET
cord-191574-1g38scnj	110	23	disease	disease	NOUN
cord-191574-1g38scnj	110	24	could	could	AUX
cord-191574-1g38scnj	110	25	essentially	essentially	ADV
cord-191574-1g38scnj	110	26	contribute	contribute	VERB
cord-191574-1g38scnj	110	27	,	,	PUNCT
cord-191574-1g38scnj	110	28	on	on	ADP
cord-191574-1g38scnj	110	29	the	the	DET
cord-191574-1g38scnj	110	30	level	level	NOUN
cord-191574-1g38scnj	110	31	of	of	ADP
cord-191574-1g38scnj	110	32	the	the	DET
cord-191574-1g38scnj	110	33	society	society	NOUN
cord-191574-1g38scnj	110	34	,	,	PUNCT
cord-191574-1g38scnj	110	35	to	to	ADP
cord-191574-1g38scnj	110	36	the	the	DET
cord-191574-1g38scnj	110	37	implementation	implementation	NOUN
cord-191574-1g38scnj	110	38	of	of	ADP
cord-191574-1g38scnj	110	39	the	the	DET
cord-191574-1g38scnj	110	40	best	good	ADJ
cord-191574-1g38scnj	110	41	policies	policy	NOUN
cord-191574-1g38scnj	110	42	that	that	PRON
cord-191574-1g38scnj	110	43	could	could	AUX
cord-191574-1g38scnj	110	44	guarantee	guarantee	VERB
cord-191574-1g38scnj	110	45	the	the	DET
cord-191574-1g38scnj	110	46	maximal	maximal	ADJ
cord-191574-1g38scnj	110	47	safety	safety	NOUN
cord-191574-1g38scnj	110	48	of	of	ADP
cord-191574-1g38scnj	110	49	the	the	DET
cord-191574-1g38scnj	110	50	citizens	citizen	NOUN
cord-191574-1g38scnj	110	51	.	.	PUNCT
cord-191574-1g38scnj	111	1	despite	despite	SCONJ
cord-191574-1g38scnj	111	2	their	their	PRON
cord-191574-1g38scnj	111	3	(	(	PUNCT
cord-191574-1g38scnj	111	4	apparent	apparent	ADJ
cord-191574-1g38scnj	111	5	)	)	PUNCT
cord-191574-1g38scnj	111	6	mathematical	mathematical	ADJ
cord-191574-1g38scnj	111	7	simplicity	simplicity	NOUN
cord-191574-1g38scnj	111	8	,	,	PUNCT
cord-191574-1g38scnj	111	9	the	the	DET
cord-191574-1g38scnj	111	10	compartmental	compartmental	NOUN
cord-191574-1g38scnj	111	11	epidemiological	epidemiological	ADJ
cord-191574-1g38scnj	111	12	models	model	NOUN
cord-191574-1g38scnj	111	13	did	do	AUX
cord-191574-1g38scnj	111	14	play	play	VERB
cord-191574-1g38scnj	111	15	an	an	DET
cord-191574-1g38scnj	111	16	important	important	ADJ
cord-191574-1g38scnj	111	17	role	role	NOUN
cord-191574-1g38scnj	111	18	in	in	ADP
cord-191574-1g38scnj	111	19	the	the	DET
cord-191574-1g38scnj	111	20	analysis	analysis	NOUN
cord-191574-1g38scnj	111	21	of	of	ADP
cord-191574-1g38scnj	111	22	the	the	DET
cord-191574-1g38scnj	111	23	covid	covid	PROPN
cord-191574-1g38scnj	111	24	pandemic	pandemic	NOUN
cord-191574-1g38scnj	111	25	.	.	PUNCT
cord-191574-1g38scnj	112	1	these	these	DET
cord-191574-1g38scnj	112	2	models	model	NOUN
cord-191574-1g38scnj	112	3	contain	contain	VERB
cord-191574-1g38scnj	112	4	the	the	DET
cord-191574-1g38scnj	112	5	basic	basic	ADJ
cord-191574-1g38scnj	112	6	features	feature	NOUN
cord-191574-1g38scnj	112	7	of	of	ADP
cord-191574-1g38scnj	112	8	the	the	DET
cord-191574-1g38scnj	112	9	evolution	evolution	NOUN
cord-191574-1g38scnj	112	10	of	of	ADP
cord-191574-1g38scnj	112	11	an	an	DET
cord-191574-1g38scnj	112	12	epidemics	epidemic	NOUN
cord-191574-1g38scnj	112	13	,	,	PUNCT
cord-191574-1g38scnj	112	14	and	and	CCONJ
cord-191574-1g38scnj	112	15	once	once	SCONJ
cord-191574-1g38scnj	112	16	the	the	DET
cord-191574-1g38scnj	112	17	parameters	parameter	NOUN
cord-191574-1g38scnj	112	18	of	of	ADP
cord-191574-1g38scnj	112	19	the	the	DET
cord-191574-1g38scnj	112	20	model	model	NOUN
cord-191574-1g38scnj	112	21	are	be	AUX
cord-191574-1g38scnj	112	22	fixed	fix	VERB
cord-191574-1g38scnj	112	23	from	from	ADP
cord-191574-1g38scnj	112	24	the	the	DET
cord-191574-1g38scnj	112	25	epidemiological	epidemiological	ADJ
cord-191574-1g38scnj	112	26	data	datum	NOUN
cord-191574-1g38scnj	112	27	they	they	PRON
cord-191574-1g38scnj	112	28	can	can	AUX
cord-191574-1g38scnj	112	29	provide	provide	VERB
cord-191574-1g38scnj	112	30	some	some	DET
cord-191574-1g38scnj	112	31	accurate	accurate	ADJ
cord-191574-1g38scnj	112	32	predictions	prediction	NOUN
cord-191574-1g38scnj	112	33	for	for	ADP
cord-191574-1g38scnj	112	34	the	the	DET
cord-191574-1g38scnj	112	35	evolution	evolution	NOUN
cord-191574-1g38scnj	112	36	of	of	ADP
cord-191574-1g38scnj	112	37	the	the	DET
cord-191574-1g38scnj	112	38	infectious	infectious	ADJ
cord-191574-1g38scnj	112	39	diseases	disease	NOUN
cord-191574-1g38scnj	112	40	.	.	PUNCT
cord-191574-1g38scnj	113	1	from	from	ADP
cord-191574-1g38scnj	113	2	a	a	DET
cord-191574-1g38scnj	113	3	mathematical	mathematical	ADJ
cord-191574-1g38scnj	113	4	point	point	NOUN
cord-191574-1g38scnj	113	5	of	of	ADP
cord-191574-1g38scnj	113	6	view	view	NOUN
cord-191574-1g38scnj	113	7	the	the	DET
cord-191574-1g38scnj	113	8	sir	sir	PROPN
cord-191574-1g38scnj	113	9	model	model	NOUN
cord-191574-1g38scnj	113	10	is	be	AUX
cord-191574-1g38scnj	113	11	exactly	exactly	ADV
cord-191574-1g38scnj	113	12	integrable	integrable	ADJ
cord-191574-1g38scnj	113	13	,	,	PUNCT
cord-191574-1g38scnj	113	14	which	which	PRON
cord-191574-1g38scnj	113	15	simplifies	simplify	VERB
cord-191574-1g38scnj	113	16	its	its	PRON
cord-191574-1g38scnj	113	17	analysis	analysis	NOUN
cord-191574-1g38scnj	113	18	,	,	PUNCT
cord-191574-1g38scnj	113	19	since	since	SCONJ
cord-191574-1g38scnj	113	20	its	its	PRON
cord-191574-1g38scnj	113	21	exact	exact	ADJ
cord-191574-1g38scnj	113	22	solution	solution	NOUN
cord-191574-1g38scnj	113	23	is	be	AUX
cord-191574-1g38scnj	113	24	known	know	VERB
cord-191574-1g38scnj	113	25	[	[	ADP
cord-191574-1g38scnj	113	26	25	25	NUM
cord-191574-1g38scnj	113	27	]	]	PUNCT
cord-191574-1g38scnj	113	28	.	.	PUNCT
cord-191574-1g38scnj	114	1	on	on	ADP
cord-191574-1g38scnj	114	2	the	the	DET
cord-191574-1g38scnj	114	3	other	other	ADJ
cord-191574-1g38scnj	114	4	hand	hand	NOUN
cord-191574-1g38scnj	114	5	the	the	DET
cord-191574-1g38scnj	114	6	sir	sir	PROPN
cord-191574-1g38scnj	114	7	model	model	NOUN
cord-191574-1g38scnj	114	8	with	with	ADP
cord-191574-1g38scnj	114	9	vital	vital	ADJ
cord-191574-1g38scnj	114	10	dynamics	dynamic	NOUN
cord-191574-1g38scnj	114	11	is	be	AUX
cord-191574-1g38scnj	114	12	non	non	ADJ
cord-191574-1g38scnj	114	13	-	-	ADJ
cord-191574-1g38scnj	114	14	integrable	integrable	ADJ
cord-191574-1g38scnj	114	15	,	,	PUNCT
cord-191574-1g38scnj	114	16	and	and	CCONJ
cord-191574-1g38scnj	114	17	therefore	therefore	ADV
cord-191574-1g38scnj	114	18	it	it	PRON
cord-191574-1g38scnj	114	19	can	can	AUX
cord-191574-1g38scnj	114	20	be	be	AUX
cord-191574-1g38scnj	114	21	investigated	investigate	VERB
cord-191574-1g38scnj	114	22	only	only	ADV
cord-191574-1g38scnj	114	23	by	by	ADP
cord-191574-1g38scnj	114	24	using	use	VERB
cord-191574-1g38scnj	114	25	numerical	numerical	ADJ
cord-191574-1g38scnj	114	26	or	or	CCONJ
cord-191574-1g38scnj	114	27	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	114	28	methods	method	NOUN
cord-191574-1g38scnj	114	29	.	.	PUNCT
cord-191574-1g38scnj	115	1	in	in	ADP
cord-191574-1g38scnj	115	2	the	the	DET
cord-191574-1g38scnj	115	3	present	present	ADJ
cord-191574-1g38scnj	115	4	paper	paper	NOUN
cord-191574-1g38scnj	115	5	we	we	PRON
cord-191574-1g38scnj	115	6	have	have	AUX
cord-191574-1g38scnj	115	7	introduced	introduce	VERB
cord-191574-1g38scnj	115	8	the	the	DET
cord-191574-1g38scnj	115	9	powerful	powerful	ADJ
cord-191574-1g38scnj	115	10	adomian	adomian	NOUN
cord-191574-1g38scnj	115	11	and	and	CCONJ
cord-191574-1g38scnj	115	12	laplace	laplace	NOUN
cord-191574-1g38scnj	115	13	-	-	PUNCT
cord-191574-1g38scnj	115	14	adomian	adomian	ADJ
cord-191574-1g38scnj	115	15	decomposition	decomposition	NOUN
cord-191574-1g38scnj	115	16	methods	method	NOUN
cord-191574-1g38scnj	115	17	for	for	ADP
cord-191574-1g38scnj	115	18	the	the	DET
cord-191574-1g38scnj	115	19	study	study	NOUN
cord-191574-1g38scnj	115	20	of	of	ADP
cord-191574-1g38scnj	115	21	this	this	DET
cord-191574-1g38scnj	115	22	model	model	NOUN
cord-191574-1g38scnj	115	23	.	.	PUNCT
cord-191574-1g38scnj	116	1	however	however	ADV
cord-191574-1g38scnj	116	2	,	,	PUNCT
cord-191574-1g38scnj	116	3	in	in	ADP
cord-191574-1g38scnj	116	4	obtaining	obtain	VERB
cord-191574-1g38scnj	116	5	the	the	DET
cord-191574-1g38scnj	116	6	explicit	explicit	ADJ
cord-191574-1g38scnj	116	7	form	form	NOUN
cord-191574-1g38scnj	116	8	of	of	ADP
cord-191574-1g38scnj	116	9	the	the	DET
cord-191574-1g38scnj	116	10	adomian	adomian	NOUN
cord-191574-1g38scnj	116	11	polynomials	polynomial	NOUN
cord-191574-1g38scnj	116	12	one	one	PRON
cord-191574-1g38scnj	116	13	must	must	AUX
cord-191574-1g38scnj	116	14	use	use	VERB
cord-191574-1g38scnj	116	15	some	some	DET
cord-191574-1g38scnj	116	16	approximations	approximation	NOUN
cord-191574-1g38scnj	116	17	for	for	ADP
cord-191574-1g38scnj	116	18	their	their	PRON
cord-191574-1g38scnj	116	19	estimation	estimation	NOUN
cord-191574-1g38scnj	116	20	.	.	PUNCT
cord-191574-1g38scnj	117	1	in	in	ADP
cord-191574-1g38scnj	117	2	the	the	DET
cord-191574-1g38scnj	117	3	present	present	ADJ
cord-191574-1g38scnj	117	4	approach	approach	NOUN
cord-191574-1g38scnj	117	5	we	we	PRON
cord-191574-1g38scnj	117	6	have	have	AUX
cord-191574-1g38scnj	117	7	approximated	approximate	VERB
cord-191574-1g38scnj	117	8	the	the	DET
cord-191574-1g38scnj	117	9	u	u	NOUN
cord-191574-1g38scnj	117	10	0	0	NUM
cord-191574-1g38scnj	117	11	(	(	PUNCT
cord-191574-1g38scnj	117	12	t	t	NOUN
cord-191574-1g38scnj	117	13	)	)	PUNCT
cord-191574-1g38scnj	117	14	term	term	NOUN
cord-191574-1g38scnj	117	15	by	by	ADP
cord-191574-1g38scnj	117	16	its	its	PRON
cord-191574-1g38scnj	117	17	first	first	ADJ
cord-191574-1g38scnj	117	18	order	order	NOUN
cord-191574-1g38scnj	117	19	series	series	NOUN
cord-191574-1g38scnj	117	20	expansion	expansion	NOUN
cord-191574-1g38scnj	117	21	,	,	PUNCT
cord-191574-1g38scnj	117	22	leading	lead	VERB
cord-191574-1g38scnj	117	23	to	to	ADP
cord-191574-1g38scnj	117	24	the	the	DET
cord-191574-1g38scnj	117	25	first	first	ADJ
cord-191574-1g38scnj	117	26	adomian	adomian	ADJ
cord-191574-1g38scnj	117	27	polynomial	polynomial	NOUN
cord-191574-1g38scnj	117	28	as	as	SCONJ
cord-191574-1g38scnj	117	29	given	give	VERB
cord-191574-1g38scnj	117	30	by	by	ADP
cord-191574-1g38scnj	117	31	eq	eq	PROPN
cord-191574-1g38scnj	117	32	.	.	PUNCT
cord-191574-1g38scnj	118	1	(	(	PUNCT
cord-191574-1g38scnj	118	2	54	54	NUM
cord-191574-1g38scnj	118	3	)	)	PUNCT
cord-191574-1g38scnj	118	4	.	.	PUNCT
cord-191574-1g38scnj	119	1	in	in	ADP
cord-191574-1g38scnj	119	2	the	the	DET
cord-191574-1g38scnj	119	3	large	large	ADJ
cord-191574-1g38scnj	119	4	time	time	NOUN
cord-191574-1g38scnj	119	5	limit	limit	NOUN
cord-191574-1g38scnj	119	6	if	if	SCONJ
cord-191574-1g38scnj	119	7	β	β	PROPN
cord-191574-1g38scnj	119	8	(	(	PUNCT
cord-191574-1g38scnj	119	9	n	n	ADV
cord-191574-1g38scnj	119	10	1	1	NUM
cord-191574-1g38scnj	119	11	+	+	NUM
cord-191574-1g38scnj	119	12	n	n	NOUN
cord-191574-1g38scnj	119	13	2	2	NUM
cord-191574-1g38scnj	119	14	)	)	PUNCT
cord-191574-1g38scnj	119	15	/n	/n	PUNCT
cord-191574-1g38scnj	120	1	>	>	X
cord-191574-1g38scnj	121	1	γ	γ	PROPN
cord-191574-1g38scnj	121	2	+	+	SYM
cord-191574-1g38scnj	121	3	µ	µ	PROPN
cord-191574-1g38scnj	121	4	,	,	PUNCT
cord-191574-1g38scnj	121	5	a	a	DET
cord-191574-1g38scnj	121	6	0	0	NUM
cord-191574-1g38scnj	121	7	diverges	diverge	NOUN
cord-191574-1g38scnj	121	8	.	.	PUNCT
cord-191574-1g38scnj	122	1	hence	hence	ADV
cord-191574-1g38scnj	122	2	the	the	DET
cord-191574-1g38scnj	122	3	laplace	laplace	NOUN
cord-191574-1g38scnj	122	4	-	-	PUNCT
cord-191574-1g38scnj	122	5	adomian	adomian	ADJ
cord-191574-1g38scnj	122	6	decomposition	decomposition	NOUN
cord-191574-1g38scnj	122	7	method	method	NOUN
cord-191574-1g38scnj	122	8	works	work	VERB
cord-191574-1g38scnj	122	9	in	in	ADP
cord-191574-1g38scnj	122	10	the	the	DET
cord-191574-1g38scnj	122	11	present	present	ADJ
cord-191574-1g38scnj	122	12	case	case	NOUN
cord-191574-1g38scnj	122	13	optimally	optimally	ADV
cord-191574-1g38scnj	122	14	if	if	SCONJ
cord-191574-1g38scnj	122	15	the	the	DET
cord-191574-1g38scnj	122	16	condition	condition	NOUN
cord-191574-1g38scnj	122	17	(	(	PUNCT
cord-191574-1g38scnj	122	18	n	n	NOUN
cord-191574-1g38scnj	122	19	1	1	NUM
cord-191574-1g38scnj	122	20	+	+	NUM
cord-191574-1g38scnj	122	21	n	n	NOUN
cord-191574-1g38scnj	122	22	2	2	NUM
cord-191574-1g38scnj	122	23	)	)	PUNCT
cord-191574-1g38scnj	122	24	/n	/n	PUNCT
cord-191574-1g38scnj	123	1	<	<	X
cord-191574-1g38scnj	123	2	(	(	PUNCT
cord-191574-1g38scnj	123	3	γ	γ	NOUN
cord-191574-1g38scnj	123	4	+	+	CCONJ
cord-191574-1g38scnj	123	5	µ)/β	µ)/β	VERB
cord-191574-1g38scnj	123	6	.	.	PUNCT
cord-191574-1g38scnj	124	1	in	in	ADP
cord-191574-1g38scnj	124	2	the	the	DET
cord-191574-1g38scnj	124	3	present	present	ADJ
cord-191574-1g38scnj	124	4	paper	paper	NOUN
cord-191574-1g38scnj	124	5	we	we	PRON
cord-191574-1g38scnj	124	6	have	have	AUX
cord-191574-1g38scnj	124	7	presented	present	VERB
cord-191574-1g38scnj	124	8	a	a	DET
cord-191574-1g38scnj	124	9	series	series	NOUN
cord-191574-1g38scnj	124	10	solution	solution	NOUN
cord-191574-1g38scnj	124	11	of	of	ADP
cord-191574-1g38scnj	124	12	the	the	DET
cord-191574-1g38scnj	124	13	non	non	ADJ
cord-191574-1g38scnj	124	14	-	-	ADJ
cord-191574-1g38scnj	124	15	integrable	integrable	ADJ
cord-191574-1g38scnj	124	16	sir	sir	NOUN
cord-191574-1g38scnj	124	17	epidemiological	epidemiological	ADJ
cord-191574-1g38scnj	124	18	model	model	NOUN
cord-191574-1g38scnj	124	19	with	with	ADP
cord-191574-1g38scnj	124	20	vital	vital	ADJ
cord-191574-1g38scnj	124	21	dynamics	dynamic	NOUN
cord-191574-1g38scnj	124	22	,	,	PUNCT
cord-191574-1g38scnj	124	23	by	by	ADP
cord-191574-1g38scnj	124	24	using	use	VERB
cord-191574-1g38scnj	124	25	both	both	CCONJ
cord-191574-1g38scnj	124	26	the	the	DET
cord-191574-1g38scnj	124	27	adomian	adomian	NOUN
cord-191574-1g38scnj	124	28	and	and	CCONJ
cord-191574-1g38scnj	124	29	the	the	DET
cord-191574-1g38scnj	124	30	laplace	laplace	NOUN
cord-191574-1g38scnj	124	31	-	-	PUNCT
cord-191574-1g38scnj	124	32	adomian	adomian	ADJ
cord-191574-1g38scnj	124	33	decomposition	decomposition	NOUN
cord-191574-1g38scnj	124	34	methods	method	NOUN
cord-191574-1g38scnj	124	35	.	.	PUNCT
cord-191574-1g38scnj	125	1	the	the	DET
cord-191574-1g38scnj	125	2	application	application	NOUN
cord-191574-1g38scnj	125	3	of	of	ADP
cord-191574-1g38scnj	125	4	these	these	DET
cord-191574-1g38scnj	125	5	methods	method	NOUN
cord-191574-1g38scnj	125	6	allows	allow	VERB
cord-191574-1g38scnj	125	7	to	to	PART
cord-191574-1g38scnj	125	8	obtain	obtain	VERB
cord-191574-1g38scnj	125	9	the	the	DET
cord-191574-1g38scnj	125	10	explicit	explicit	ADJ
cord-191574-1g38scnj	125	11	time	time	NOUN
cord-191574-1g38scnj	125	12	dependencies	dependency	NOUN
cord-191574-1g38scnj	125	13	of	of	ADP
cord-191574-1g38scnj	125	14	x(t	x(t	PROPN
cord-191574-1g38scnj	125	15	)	)	PUNCT
cord-191574-1g38scnj	125	16	,	,	PUNCT
cord-191574-1g38scnj	125	17	y(t	y(t	PROPN
cord-191574-1g38scnj	125	18	)	)	PUNCT
cord-191574-1g38scnj	125	19	and	and	CCONJ
cord-191574-1g38scnj	125	20	z(t	z(t	PROPN
cord-191574-1g38scnj	125	21	)	)	PUNCT
cord-191574-1g38scnj	125	22	.	.	PUNCT
cord-191574-1g38scnj	126	1	the	the	DET
cord-191574-1g38scnj	126	2	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	126	3	solutions	solution	NOUN
cord-191574-1g38scnj	126	4	have	have	VERB
cord-191574-1g38scnj	126	5	a	a	DET
cord-191574-1g38scnj	126	6	simple	simple	ADJ
cord-191574-1g38scnj	126	7	mathematical	mathematical	ADJ
cord-191574-1g38scnj	126	8	form	form	NOUN
cord-191574-1g38scnj	126	9	,	,	PUNCT
cord-191574-1g38scnj	126	10	and	and	CCONJ
cord-191574-1g38scnj	126	11	they	they	PRON
cord-191574-1g38scnj	126	12	describes	describe	VERB
cord-191574-1g38scnj	126	13	very	very	ADV
cord-191574-1g38scnj	126	14	precisely	precisely	ADV
cord-191574-1g38scnj	126	15	the	the	DET
cord-191574-1g38scnj	126	16	numerical	numerical	ADJ
cord-191574-1g38scnj	126	17	behavior	behavior	NOUN
cord-191574-1g38scnj	126	18	of	of	ADP
cord-191574-1g38scnj	126	19	the	the	DET
cord-191574-1g38scnj	126	20	model	model	NOUN
cord-191574-1g38scnj	126	21	for	for	ADP
cord-191574-1g38scnj	126	22	a	a	DET
cord-191574-1g38scnj	126	23	large	large	ADJ
cord-191574-1g38scnj	126	24	range	range	NOUN
cord-191574-1g38scnj	126	25	of	of	ADP
cord-191574-1g38scnj	126	26	the	the	DET
cord-191574-1g38scnj	126	27	model	model	NOUN
cord-191574-1g38scnj	126	28	parameters	parameter	NOUN
cord-191574-1g38scnj	126	29	(	(	PUNCT
cord-191574-1g38scnj	126	30	β	β	PROPN
cord-191574-1g38scnj	126	31	,	,	PUNCT
cord-191574-1g38scnj	126	32	γ	γ	PROPN
cord-191574-1g38scnj	126	33	,	,	PUNCT
cord-191574-1g38scnj	126	34	µ	µ	PROPN
cord-191574-1g38scnj	126	35	)	)	PUNCT
cord-191574-1g38scnj	126	36	.	.	PUNCT
cord-191574-1g38scnj	127	1	the	the	DET
cord-191574-1g38scnj	127	2	time	time	NOUN
cord-191574-1g38scnj	127	3	dependence	dependence	NOUN
cord-191574-1g38scnj	127	4	of	of	ADP
cord-191574-1g38scnj	127	5	the	the	DET
cord-191574-1g38scnj	127	6	three	three	NUM
cord-191574-1g38scnj	127	7	compartments	compartment	NOUN
cord-191574-1g38scnj	127	8	in	in	ADP
cord-191574-1g38scnj	127	9	the	the	DET
cord-191574-1g38scnj	127	10	semianalytical	semianalytical	ADJ
cord-191574-1g38scnj	127	11	solution	solution	NOUN
cord-191574-1g38scnj	127	12	obtained	obtain	VERB
cord-191574-1g38scnj	127	13	by	by	ADP
cord-191574-1g38scnj	127	14	using	use	VERB
cord-191574-1g38scnj	127	15	the	the	DET
cord-191574-1g38scnj	127	16	laplace	laplace	NOUN
cord-191574-1g38scnj	127	17	-	-	PUNCT
cord-191574-1g38scnj	127	18	adomian	adomian	ADJ
cord-191574-1g38scnj	127	19	decomposition	decomposition	NOUN
cord-191574-1g38scnj	127	20	method	method	NOUN
cord-191574-1g38scnj	127	21	is	be	AUX
cord-191574-1g38scnj	127	22	given	give	VERB
cord-191574-1g38scnj	127	23	by	by	ADP
cord-191574-1g38scnj	127	24	a	a	DET
cord-191574-1g38scnj	127	25	sum	sum	NOUN
cord-191574-1g38scnj	127	26	containing	contain	VERB
cord-191574-1g38scnj	127	27	exponential	exponential	ADJ
cord-191574-1g38scnj	127	28	terms	term	NOUN
cord-191574-1g38scnj	127	29	.	.	PUNCT
cord-191574-1g38scnj	128	1	such	such	DET
cord-191574-1g38scnj	128	2	a	a	DET
cord-191574-1g38scnj	128	3	representation	representation	NOUN
cord-191574-1g38scnj	128	4	may	may	AUX
cord-191574-1g38scnj	128	5	simplify	simplify	VERB
cord-191574-1g38scnj	128	6	the	the	DET
cord-191574-1g38scnj	128	7	fitting	fitting	NOUN
cord-191574-1g38scnj	128	8	with	with	ADP
cord-191574-1g38scnj	128	9	the	the	DET
cord-191574-1g38scnj	128	10	epidemiological	epidemiological	ADJ
cord-191574-1g38scnj	128	11	results	result	NOUN
cord-191574-1g38scnj	128	12	.	.	PUNCT
cord-191574-1g38scnj	129	1	the	the	DET
cord-191574-1g38scnj	129	2	series	series	NOUN
cord-191574-1g38scnj	129	3	,	,	PUNCT
cord-191574-1g38scnj	129	4	truncated	truncate	VERB
cord-191574-1g38scnj	129	5	to	to	ADP
cord-191574-1g38scnj	129	6	a	a	DET
cord-191574-1g38scnj	129	7	small	small	ADJ
cord-191574-1g38scnj	129	8	number	number	NOUN
cord-191574-1g38scnj	129	9	of	of	ADP
cord-191574-1g38scnj	129	10	terms	term	NOUN
cord-191574-1g38scnj	129	11	,	,	PUNCT
cord-191574-1g38scnj	129	12	give	give	VERB
cord-191574-1g38scnj	129	13	a	a	DET
cord-191574-1g38scnj	129	14	very	very	ADV
cord-191574-1g38scnj	129	15	good	good	ADJ
cord-191574-1g38scnj	129	16	description	description	NOUN
cord-191574-1g38scnj	129	17	of	of	ADP
cord-191574-1g38scnj	129	18	the	the	DET
cord-191574-1g38scnj	129	19	numerical	numerical	ADJ
cord-191574-1g38scnj	129	20	results	result	NOUN
cord-191574-1g38scnj	129	21	for	for	ADP
cord-191574-1g38scnj	129	22	a	a	DET
cord-191574-1g38scnj	129	23	large	large	ADJ
cord-191574-1g38scnj	129	24	number	number	NOUN
cord-191574-1g38scnj	129	25	of	of	ADP
cord-191574-1g38scnj	129	26	values	value	NOUN
cord-191574-1g38scnj	129	27	of	of	ADP
cord-191574-1g38scnj	129	28	the	the	DET
cord-191574-1g38scnj	129	29	model	model	NOUN
cord-191574-1g38scnj	129	30	parameters	parameter	NOUN
cord-191574-1g38scnj	129	31	,	,	PUNCT
cord-191574-1g38scnj	129	32	and	and	CCONJ
cord-191574-1g38scnj	129	33	of	of	ADP
cord-191574-1g38scnj	129	34	the	the	DET
cord-191574-1g38scnj	129	35	initial	initial	ADJ
cord-191574-1g38scnj	129	36	conditions	condition	NOUN
cord-191574-1g38scnj	129	37	.	.	PUNCT
cord-191574-1g38scnj	130	1	in	in	ADP
cord-191574-1g38scnj	130	2	fact	fact	NOUN
cord-191574-1g38scnj	130	3	,	,	PUNCT
cord-191574-1g38scnj	130	4	the	the	DET
cord-191574-1g38scnj	130	5	two	two	NUM
cord-191574-1g38scnj	130	6	terms	term	NOUN
cord-191574-1g38scnj	130	7	approximation	approximation	NOUN
cord-191574-1g38scnj	130	8	obtained	obtain	VERB
cord-191574-1g38scnj	130	9	with	with	ADP
cord-191574-1g38scnj	130	10	the	the	DET
cord-191574-1g38scnj	130	11	use	use	NOUN
cord-191574-1g38scnj	130	12	of	of	ADP
cord-191574-1g38scnj	130	13	the	the	DET
cord-191574-1g38scnj	130	14	adomian	adomian	ADJ
cord-191574-1g38scnj	130	15	decomposition	decomposition	NOUN
cord-191574-1g38scnj	130	16	method	method	NOUN
cord-191574-1g38scnj	130	17	also	also	ADV
cord-191574-1g38scnj	130	18	gives	give	VERB
cord-191574-1g38scnj	130	19	a	a	DET
cord-191574-1g38scnj	130	20	good	good	ADJ
cord-191574-1g38scnj	130	21	approximation	approximation	NOUN
cord-191574-1g38scnj	130	22	of	of	ADP
cord-191574-1g38scnj	130	23	the	the	DET
cord-191574-1g38scnj	130	24	results	result	NOUN
cord-191574-1g38scnj	130	25	of	of	ADP
cord-191574-1g38scnj	130	26	the	the	DET
cord-191574-1g38scnj	130	27	numerical	numerical	ADJ
cord-191574-1g38scnj	130	28	integration	integration	NOUN
cord-191574-1g38scnj	130	29	of	of	ADP
cord-191574-1g38scnj	130	30	the	the	DET
cord-191574-1g38scnj	130	31	sir	sir	PROPN
cord-191574-1g38scnj	130	32	model	model	NOUN
cord-191574-1g38scnj	130	33	with	with	ADP
cord-191574-1g38scnj	130	34	vital	vital	ADJ
cord-191574-1g38scnj	130	35	dynamics	dynamic	NOUN
cord-191574-1g38scnj	130	36	for	for	ADP
cord-191574-1g38scnj	130	37	a	a	DET
cord-191574-1g38scnj	130	38	large	large	ADJ
cord-191574-1g38scnj	130	39	range	range	NOUN
cord-191574-1g38scnj	130	40	of	of	ADP
cord-191574-1g38scnj	130	41	parameter	parameter	NOUN
cord-191574-1g38scnj	130	42	values	value	NOUN
cord-191574-1g38scnj	130	43	.	.	PUNCT
cord-191574-1g38scnj	131	1	exact	exact	ADJ
cord-191574-1g38scnj	131	2	solutions	solution	NOUN
cord-191574-1g38scnj	131	3	of	of	ADP
cord-191574-1g38scnj	131	4	the	the	DET
cord-191574-1g38scnj	131	5	epidemiological	epidemiological	ADJ
cord-191574-1g38scnj	131	6	models	model	NOUN
cord-191574-1g38scnj	131	7	are	be	AUX
cord-191574-1g38scnj	131	8	important	important	ADJ
cord-191574-1g38scnj	131	9	for	for	ADP
cord-191574-1g38scnj	131	10	epidemiologists	epidemiologist	NOUN
cord-191574-1g38scnj	131	11	because	because	SCONJ
cord-191574-1g38scnj	131	12	they	they	PRON
cord-191574-1g38scnj	131	13	allow	allow	VERB
cord-191574-1g38scnj	131	14	the	the	DET
cord-191574-1g38scnj	131	15	study	study	NOUN
cord-191574-1g38scnj	131	16	of	of	ADP
cord-191574-1g38scnj	131	17	the	the	DET
cord-191574-1g38scnj	131	18	spreading	spreading	NOUN
cord-191574-1g38scnj	131	19	of	of	ADP
cord-191574-1g38scnj	131	20	infectious	infectious	ADJ
cord-191574-1g38scnj	131	21	diseases	disease	NOUN
cord-191574-1g38scnj	131	22	in	in	ADP
cord-191574-1g38scnj	131	23	different	different	ADJ
cord-191574-1g38scnj	131	24	situations	situation	NOUN
cord-191574-1g38scnj	131	25	.	.	PUNCT
cord-191574-1g38scnj	132	1	they	they	PRON
cord-191574-1g38scnj	132	2	are	be	AUX
cord-191574-1g38scnj	132	3	also	also	ADV
cord-191574-1g38scnj	132	4	helpful	helpful	ADJ
cord-191574-1g38scnj	132	5	in	in	ADP
cord-191574-1g38scnj	132	6	the	the	DET
cord-191574-1g38scnj	132	7	design	design	NOUN
cord-191574-1g38scnj	132	8	of	of	ADP
cord-191574-1g38scnj	132	9	the	the	DET
cord-191574-1g38scnj	132	10	best	good	ADJ
cord-191574-1g38scnj	132	11	social	social	ADJ
cord-191574-1g38scnj	132	12	strategies	strategy	NOUN
cord-191574-1g38scnj	132	13	for	for	ADP
cord-191574-1g38scnj	132	14	their	their	PRON
cord-191574-1g38scnj	132	15	control	control	NOUN
cord-191574-1g38scnj	132	16	.	.	PUNCT
cord-191574-1g38scnj	133	1	hopefully	hopefully	ADV
cord-191574-1g38scnj	133	2	the	the	DET
cord-191574-1g38scnj	133	3	results	result	NOUN
cord-191574-1g38scnj	133	4	obtained	obtain	VERB
cord-191574-1g38scnj	133	5	in	in	ADP
cord-191574-1g38scnj	133	6	the	the	DET
cord-191574-1g38scnj	133	7	present	present	ADJ
cord-191574-1g38scnj	133	8	paper	paper	NOUN
cord-191574-1g38scnj	133	9	may	may	AUX
cord-191574-1g38scnj	133	10	also	also	ADV
cord-191574-1g38scnj	133	11	contribute	contribute	VERB
cord-191574-1g38scnj	133	12	to	to	ADP
cord-191574-1g38scnj	133	13	the	the	DET
cord-191574-1g38scnj	133	14	investigations	investigation	NOUN
cord-191574-1g38scnj	133	15	of	of	ADP
cord-191574-1g38scnj	133	16	the	the	DET
cord-191574-1g38scnj	133	17	dynamics	dynamic	NOUN
cord-191574-1g38scnj	133	18	,	,	PUNCT
cord-191574-1g38scnj	133	19	evolution	evolution	NOUN
cord-191574-1g38scnj	133	20	and	and	CCONJ
cord-191574-1g38scnj	133	21	long	long	ADJ
cord-191574-1g38scnj	133	22	term	term	NOUN
cord-191574-1g38scnj	133	23	impact	impact	NOUN
cord-191574-1g38scnj	133	24	of	of	ADP
cord-191574-1g38scnj	133	25	the	the	DET
cord-191574-1g38scnj	133	26	present	present	NOUN
cord-191574-1g38scnj	133	27	and	and	CCONJ
cord-191574-1g38scnj	133	28	of	of	ADP
cord-191574-1g38scnj	133	29	the	the	DET
cord-191574-1g38scnj	133	30	future	future	ADJ
cord-191574-1g38scnj	133	31	epidemics	epidemic	NOUN
cord-191574-1g38scnj	133	32	.	.	PUNCT
cord-191574-1g38scnj	134	1	mathematical	mathematical	ADJ
cord-191574-1g38scnj	134	2	biology	biology	NOUN
cord-191574-1g38scnj	134	3	:	:	PUNCT
cord-191574-1g38scnj	134	4	i.	i.	PROPN
cord-191574-1g38scnj	134	5	an	an	DET
cord-191574-1g38scnj	134	6	introduction	introduction	NOUN
cord-191574-1g38scnj	134	7	epidemic	epidemic	NOUN
cord-191574-1g38scnj	134	8	modeling	modeling	NOUN
cord-191574-1g38scnj	134	9	:	:	PUNCT
cord-191574-1g38scnj	134	10	an	an	DET
cord-191574-1g38scnj	134	11	introduction	introduction	NOUN
cord-191574-1g38scnj	134	12	modeling	model	VERB
cord-191574-1g38scnj	134	13	infectious	infectious	ADJ
cord-191574-1g38scnj	134	14	diseases	disease	NOUN
cord-191574-1g38scnj	134	15	contribution	contribution	VERB
cord-191574-1g38scnj	134	16	to	to	ADP
cord-191574-1g38scnj	134	17	the	the	DET
cord-191574-1g38scnj	134	18	mathematical	mathematical	ADJ
cord-191574-1g38scnj	134	19	theory	theory	NOUN
cord-191574-1g38scnj	134	20	of	of	ADP
cord-191574-1g38scnj	134	21	epidemics	epidemic	NOUN
cord-191574-1g38scnj	134	22	clinical	clinical	ADJ
cord-191574-1g38scnj	134	23	features	feature	NOUN
cord-191574-1g38scnj	134	24	of	of	ADP
cord-191574-1g38scnj	134	25	patients	patient	NOUN
cord-191574-1g38scnj	134	26	infected	infect	VERB
cord-191574-1g38scnj	134	27	with	with	ADP
cord-191574-1g38scnj	134	28	2019	2019	NUM
cord-191574-1g38scnj	134	29	novel	novel	NOUN
cord-191574-1g38scnj	134	30	coronavirus	coronavirus	NOUN
cord-191574-1g38scnj	134	31	in	in	ADP
cord-191574-1g38scnj	134	32	effective	effective	ADJ
cord-191574-1g38scnj	134	33	containment	containment	NOUN
cord-191574-1g38scnj	134	34	explains	explain	VERB
cord-191574-1g38scnj	134	35	subexponential	subexponential	ADJ
cord-191574-1g38scnj	134	36	growth	growth	NOUN
cord-191574-1g38scnj	134	37	in	in	ADP
cord-191574-1g38scnj	134	38	recent	recent	ADJ
cord-191574-1g38scnj	134	39	confirmed	confirm	VERB
cord-191574-1g38scnj	134	40	covid-19	covid-19	PROPN
cord-191574-1g38scnj	134	41	cases	case	NOUN
cord-191574-1g38scnj	134	42	in	in	ADP
cord-191574-1g38scnj	134	43	china	china	PROPN
cord-191574-1g38scnj	134	44	simulating	simulate	VERB
cord-191574-1g38scnj	134	45	the	the	DET
cord-191574-1g38scnj	134	46	spread	spread	NOUN
cord-191574-1g38scnj	134	47	of	of	ADP
cord-191574-1g38scnj	134	48	covid-19	covid-19	PROPN
cord-191574-1g38scnj	134	49	via	via	ADP
cord-191574-1g38scnj	134	50	spatially	spatially	ADV
cord-191574-1g38scnj	134	51	-	-	PUNCT
cord-191574-1g38scnj	134	52	resolved	resolve	VERB
cord-191574-1g38scnj	134	53	susceptible	susceptible	ADJ
cord-191574-1g38scnj	134	54	-	-	PUNCT
cord-191574-1g38scnj	134	55	exposed	expose	VERB
cord-191574-1g38scnj	134	56	-	-	PUNCT
cord-191574-1g38scnj	134	57	infected	infect	VERB
cord-191574-1g38scnj	134	58	-	-	PUNCT
cord-191574-1g38scnj	134	59	recovered	recover	VERB
cord-191574-1g38scnj	134	60	deceased	deceased	ADJ
cord-191574-1g38scnj	134	61	(	(	PUNCT
cord-191574-1g38scnj	134	62	seird	seird	PROPN
cord-191574-1g38scnj	134	63	)	)	PUNCT
cord-191574-1g38scnj	134	64	model	model	NOUN
cord-191574-1g38scnj	134	65	with	with	ADP
cord-191574-1g38scnj	134	66	heterogeneous	heterogeneous	ADJ
cord-191574-1g38scnj	134	67	diffusion	diffusion	NOUN
cord-191574-1g38scnj	134	68	size	size	NOUN
cord-191574-1g38scnj	134	69	and	and	CCONJ
cord-191574-1g38scnj	134	70	timescale	timescale	NOUN
cord-191574-1g38scnj	134	71	of	of	ADP
cord-191574-1g38scnj	134	72	epidemics	epidemic	NOUN
cord-191574-1g38scnj	134	73	in	in	ADP
cord-191574-1g38scnj	134	74	the	the	DET
cord-191574-1g38scnj	134	75	sir	sir	PROPN
cord-191574-1g38scnj	134	76	framework	framework	NOUN
cord-191574-1g38scnj	134	77	,	,	PUNCT
cord-191574-1g38scnj	134	78	phys	phy	NOUN
cord-191574-1g38scnj	134	79	.	.	PUNCT
cord-191574-1g38scnj	135	1	d	d	X
cord-191574-1g38scnj	135	2	nonlinear	nonlinear	ADJ
cord-191574-1g38scnj	135	3	phenom	phenom	NOUN
cord-191574-1g38scnj	135	4	computing	compute	VERB
cord-191574-1g38scnj	135	5	the	the	DET
cord-191574-1g38scnj	135	6	density	density	NOUN
cord-191574-1g38scnj	135	7	function	function	NOUN
cord-191574-1g38scnj	135	8	of	of	ADP
cord-191574-1g38scnj	135	9	complex	complex	ADJ
cord-191574-1g38scnj	135	10	models	model	NOUN
cord-191574-1g38scnj	135	11	with	with	ADP
cord-191574-1g38scnj	135	12	randomness	randomness	NOUN
cord-191574-1g38scnj	135	13	by	by	ADP
cord-191574-1g38scnj	135	14	using	use	VERB
cord-191574-1g38scnj	135	15	polynomial	polynomial	ADJ
cord-191574-1g38scnj	135	16	expansions	expansion	NOUN
cord-191574-1g38scnj	135	17	and	and	CCONJ
cord-191574-1g38scnj	135	18	the	the	DET
cord-191574-1g38scnj	135	19	rvt	rvt	ADJ
cord-191574-1g38scnj	135	20	technique	technique	NOUN
cord-191574-1g38scnj	135	21	.	.	PUNCT
cord-191574-1g38scnj	136	1	application	application	NOUN
cord-191574-1g38scnj	136	2	to	to	ADP
cord-191574-1g38scnj	136	3	the	the	DET
cord-191574-1g38scnj	136	4	sir	sir	PROPN
cord-191574-1g38scnj	136	5	epidemic	epidemic	NOUN
cord-191574-1g38scnj	136	6	model	model	NOUN
cord-191574-1g38scnj	136	7	susceptible	susceptible	ADJ
cord-191574-1g38scnj	136	8	-	-	PUNCT
cord-191574-1g38scnj	136	9	infected	infect	VERB
cord-191574-1g38scnj	136	10	-	-	PUNCT
cord-191574-1g38scnj	136	11	recovered	recover	VERB
cord-191574-1g38scnj	136	12	(	(	PUNCT
cord-191574-1g38scnj	136	13	sir	sir	PROPN
cord-191574-1g38scnj	136	14	)	)	PUNCT
cord-191574-1g38scnj	136	15	dynamics	dynamic	NOUN
cord-191574-1g38scnj	136	16	of	of	ADP
cord-191574-1g38scnj	136	17	covid-19	covid-19	NUM
cord-191574-1g38scnj	136	18	and	and	CCONJ
cord-191574-1g38scnj	136	19	economic	economic	ADJ
cord-191574-1g38scnj	136	20	impact	impact	NOUN
cord-191574-1g38scnj	136	21	inferring	infer	VERB
cord-191574-1g38scnj	136	22	change	change	NOUN
cord-191574-1g38scnj	136	23	points	point	NOUN
cord-191574-1g38scnj	136	24	in	in	ADP
cord-191574-1g38scnj	136	25	the	the	DET
cord-191574-1g38scnj	136	26	covid-19	covid-19	PROPN
cord-191574-1g38scnj	136	27	spreading	spread	VERB
cord-191574-1g38scnj	136	28	reveals	reveal	VERB
cord-191574-1g38scnj	136	29	the	the	DET
cord-191574-1g38scnj	136	30	effectiveness	effectiveness	NOUN
cord-191574-1g38scnj	136	31	of	of	ADP
cord-191574-1g38scnj	136	32	interventions	intervention	NOUN
cord-191574-1g38scnj	136	33	how	how	SCONJ
cord-191574-1g38scnj	136	34	to	to	PART
cord-191574-1g38scnj	136	35	reduce	reduce	VERB
cord-191574-1g38scnj	136	36	epidemic	epidemic	NOUN
cord-191574-1g38scnj	136	37	peaks	peak	NOUN
cord-191574-1g38scnj	136	38	keeping	keep	VERB
cord-191574-1g38scnj	136	39	under	under	ADP
cord-191574-1g38scnj	136	40	control	control	NOUN
cord-191574-1g38scnj	136	41	the	the	DET
cord-191574-1g38scnj	136	42	time	time	NOUN
cord-191574-1g38scnj	136	43	-	-	PUNCT
cord-191574-1g38scnj	136	44	span	span	NOUN
cord-191574-1g38scnj	136	45	of	of	ADP
cord-191574-1g38scnj	136	46	the	the	DET
cord-191574-1g38scnj	136	47	epidemic	epidemic	NOUN
cord-191574-1g38scnj	136	48	forecasting	forecasting	NOUN
cord-191574-1g38scnj	136	49	covid	covid	NOUN
cord-191574-1g38scnj	136	50	19	19	NUM
cord-191574-1g38scnj	136	51	growth	growth	NOUN
cord-191574-1g38scnj	136	52	in	in	ADP
cord-191574-1g38scnj	136	53	india	india	PROPN
cord-191574-1g38scnj	136	54	using	use	VERB
cord-191574-1g38scnj	136	55	susceptible	susceptible	ADJ
cord-191574-1g38scnj	136	56	-	-	PUNCT
cord-191574-1g38scnj	136	57	infected	infect	VERB
cord-191574-1g38scnj	136	58	-	-	PUNCT
cord-191574-1g38scnj	136	59	recovered	recover	VERB
cord-191574-1g38scnj	136	60	(	(	PUNCT
cord-191574-1g38scnj	136	61	sir	sir	PROPN
cord-191574-1g38scnj	136	62	)	)	PUNCT
cord-191574-1g38scnj	136	63	model	model	NOUN
cord-191574-1g38scnj	136	64	the	the	DET
cord-191574-1g38scnj	136	65	challenges	challenge	NOUN
cord-191574-1g38scnj	136	66	of	of	ADP
cord-191574-1g38scnj	136	67	modeling	model	VERB
cord-191574-1g38scnj	136	68	and	and	CCONJ
cord-191574-1g38scnj	136	69	forecasting	forecast	VERB
cord-191574-1g38scnj	136	70	the	the	DET
cord-191574-1g38scnj	136	71	spread	spread	NOUN
cord-191574-1g38scnj	136	72	of	of	ADP
cord-191574-1g38scnj	136	73	covid-19	covid-19	NUM
cord-191574-1g38scnj	136	74	a	a	DET
cord-191574-1g38scnj	136	75	feedback	feedback	NOUN
cord-191574-1g38scnj	136	76	sir	sir	NOUN
cord-191574-1g38scnj	136	77	(	(	PUNCT
cord-191574-1g38scnj	136	78	fsir	fsir	PROPN
cord-191574-1g38scnj	136	79	)	)	PUNCT
cord-191574-1g38scnj	136	80	model	model	NOUN
cord-191574-1g38scnj	136	81	highlights	highlight	NOUN
cord-191574-1g38scnj	136	82	advantages	advantage	NOUN
cord-191574-1g38scnj	136	83	and	and	CCONJ
cord-191574-1g38scnj	136	84	limitations	limitation	NOUN
cord-191574-1g38scnj	136	85	of	of	ADP
cord-191574-1g38scnj	136	86	infection	infection	NOUN
cord-191574-1g38scnj	136	87	-	-	PUNCT
cord-191574-1g38scnj	136	88	based	base	VERB
cord-191574-1g38scnj	136	89	social	social	ADJ
cord-191574-1g38scnj	136	90	distancing	distancing	NOUN
cord-191574-1g38scnj	136	91	estimation	estimation	NOUN
cord-191574-1g38scnj	136	92	of	of	ADP
cord-191574-1g38scnj	136	93	covid-19	covid-19	PROPN
cord-191574-1g38scnj	136	94	spread	spread	VERB
cord-191574-1g38scnj	136	95	curves	curve	NOUN
cord-191574-1g38scnj	136	96	integrating	integrate	VERB
cord-191574-1g38scnj	136	97	global	global	ADJ
cord-191574-1g38scnj	136	98	data	datum	NOUN
cord-191574-1g38scnj	136	99	and	and	CCONJ
cord-191574-1g38scnj	136	100	borrowing	borrow	VERB
cord-191574-1g38scnj	136	101	information	information	NOUN
cord-191574-1g38scnj	136	102	phenomenological	phenomenological	ADJ
cord-191574-1g38scnj	136	103	dynamics	dynamic	NOUN
cord-191574-1g38scnj	136	104	of	of	ADP
cord-191574-1g38scnj	136	105	covid-19	covid-19	PROPN
cord-191574-1g38scnj	136	106	pandemic	pandemic	ADJ
cord-191574-1g38scnj	136	107	:	:	PUNCT
cord-191574-1g38scnj	136	108	meta	meta	NOUN
cord-191574-1g38scnj	136	109	-	-	NOUN
cord-191574-1g38scnj	136	110	analysis	analysis	NOUN
cord-191574-1g38scnj	136	111	for	for	ADP
cord-191574-1g38scnj	136	112	adjustment	adjustment	NOUN
cord-191574-1g38scnj	136	113	parameters	parameter	NOUN
cord-191574-1g38scnj	136	114	on	on	ADP
cord-191574-1g38scnj	136	115	the	the	DET
cord-191574-1g38scnj	136	116	emergence	emergence	NOUN
cord-191574-1g38scnj	136	117	of	of	ADP
cord-191574-1g38scnj	136	118	a	a	DET
cord-191574-1g38scnj	136	119	power	power	NOUN
cord-191574-1g38scnj	136	120	law	law	NOUN
cord-191574-1g38scnj	136	121	in	in	ADP
cord-191574-1g38scnj	136	122	the	the	DET
cord-191574-1g38scnj	136	123	distribution	distribution	NOUN
cord-191574-1g38scnj	136	124	of	of	ADP
cord-191574-1g38scnj	136	125	covid-19	covid-19	PROPN
cord-191574-1g38scnj	136	126	cases	case	VERB
cord-191574-1g38scnj	136	127	optimal	optimal	ADJ
cord-191574-1g38scnj	136	128	control	control	NOUN
cord-191574-1g38scnj	136	129	of	of	ADP
cord-191574-1g38scnj	136	130	an	an	DET
cord-191574-1g38scnj	136	131	sir	sir	NOUN
cord-191574-1g38scnj	136	132	epidemic	epidemic	NOUN
cord-191574-1g38scnj	136	133	through	through	ADP
cord-191574-1g38scnj	136	134	finite	finite	PROPN
cord-191574-1g38scnj	136	135	-	-	PUNCT
cord-191574-1g38scnj	136	136	time	time	NOUN
cord-191574-1g38scnj	136	137	non	non	ADJ
cord-191574-1g38scnj	136	138	-	-	ADJ
cord-191574-1g38scnj	136	139	pharmaceutical	pharmaceutical	ADJ
cord-191574-1g38scnj	136	140	intervention	intervention	NOUN
cord-191574-1g38scnj	136	141	understanding	understand	VERB
cord-191574-1g38scnj	136	142	the	the	DET
cord-191574-1g38scnj	136	143	covid19	covid19	ADJ
cord-191574-1g38scnj	136	144	infection	infection	NOUN
cord-191574-1g38scnj	136	145	curves	curve	NOUN
cord-191574-1g38scnj	136	146	-finding	-finde	VERB
cord-191574-1g38scnj	136	147	the	the	DET
cord-191574-1g38scnj	136	148	right	right	ADJ
cord-191574-1g38scnj	136	149	numbers	number	NOUN
cord-191574-1g38scnj	136	150	exact	exact	VERB
cord-191574-1g38scnj	136	151	analytical	analytical	ADJ
cord-191574-1g38scnj	136	152	solutions	solution	NOUN
cord-191574-1g38scnj	136	153	of	of	ADP
cord-191574-1g38scnj	136	154	the	the	DET
cord-191574-1g38scnj	136	155	susceptible	susceptible	ADJ
cord-191574-1g38scnj	136	156	-	-	PUNCT
cord-191574-1g38scnj	136	157	infected	infect	VERB
cord-191574-1g38scnj	136	158	-	-	PUNCT
cord-191574-1g38scnj	136	159	recovered	recover	VERB
cord-191574-1g38scnj	136	160	(	(	PUNCT
cord-191574-1g38scnj	136	161	sir	sir	PROPN
cord-191574-1g38scnj	136	162	)	)	PUNCT
cord-191574-1g38scnj	136	163	epidemic	epidemic	NOUN
cord-191574-1g38scnj	136	164	model	model	NOUN
cord-191574-1g38scnj	136	165	and	and	CCONJ
cord-191574-1g38scnj	136	166	of	of	ADP
cord-191574-1g38scnj	136	167	the	the	DET
cord-191574-1g38scnj	136	168	sir	sir	PROPN
cord-191574-1g38scnj	136	169	model	model	NOUN
cord-191574-1g38scnj	136	170	with	with	ADP
cord-191574-1g38scnj	136	171	equal	equal	ADJ
cord-191574-1g38scnj	136	172	death	death	NOUN
cord-191574-1g38scnj	136	173	and	and	CCONJ
cord-191574-1g38scnj	136	174	birth	birth	NOUN
cord-191574-1g38scnj	136	175	rates	rate	NOUN
cord-191574-1g38scnj	136	176	a	a	DET
cord-191574-1g38scnj	136	177	mathematical	mathematical	ADJ
cord-191574-1g38scnj	136	178	model	model	NOUN
cord-191574-1g38scnj	136	179	of	of	ADP
cord-191574-1g38scnj	136	180	epidemics	epidemic	NOUN
cord-191574-1g38scnj	136	181	-	-	PUNCT
cord-191574-1g38scnj	136	182	a	a	DET
cord-191574-1g38scnj	136	183	tutorial	tutorial	NOUN
cord-191574-1g38scnj	136	184	for	for	ADP
cord-191574-1g38scnj	136	185	students	student	NOUN
cord-191574-1g38scnj	136	186	,	,	PUNCT
cord-191574-1g38scnj	136	187	mathematics	mathematic	NOUN
cord-191574-1g38scnj	136	188	2020	2020	NUM
cord-191574-1g38scnj	136	189	variational	variational	NOUN
cord-191574-1g38scnj	136	190	iteration	iteration	NOUN
cord-191574-1g38scnj	136	191	method	method	NOUN
cord-191574-1g38scnj	136	192	for	for	ADP
cord-191574-1g38scnj	136	193	solving	solve	VERB
cord-191574-1g38scnj	136	194	the	the	DET
cord-191574-1g38scnj	136	195	epidemic	epidemic	NOUN
cord-191574-1g38scnj	136	196	model	model	NOUN
cord-191574-1g38scnj	136	197	and	and	CCONJ
cord-191574-1g38scnj	136	198	the	the	DET
cord-191574-1g38scnj	136	199	prey	prey	NOUN
cord-191574-1g38scnj	136	200	and	and	CCONJ
cord-191574-1g38scnj	136	201	predator	predator	NOUN
cord-191574-1g38scnj	136	202	problem	problem	NOUN
cord-191574-1g38scnj	136	203	solution	solution	NOUN
cord-191574-1g38scnj	136	204	of	of	ADP
cord-191574-1g38scnj	136	205	the	the	DET
cord-191574-1g38scnj	136	206	epidemic	epidemic	NOUN
cord-191574-1g38scnj	136	207	model	model	NOUN
cord-191574-1g38scnj	136	208	by	by	ADP
cord-191574-1g38scnj	136	209	homotopy	homotopy	NOUN
cord-191574-1g38scnj	136	210	perturbation	perturbation	NOUN
cord-191574-1g38scnj	136	211	method	method	NOUN
cord-191574-1g38scnj	136	212	a	a	DET
cord-191574-1g38scnj	136	213	new	new	ADJ
cord-191574-1g38scnj	136	214	method	method	NOUN
cord-191574-1g38scnj	136	215	for	for	ADP
cord-191574-1g38scnj	136	216	solving	solve	VERB
cord-191574-1g38scnj	136	217	epidemic	epidemic	NOUN
cord-191574-1g38scnj	136	218	model	model	NOUN
cord-191574-1g38scnj	136	219	a	a	DET
cord-191574-1g38scnj	136	220	review	review	NOUN
cord-191574-1g38scnj	136	221	of	of	ADP
cord-191574-1g38scnj	136	222	the	the	DET
cord-191574-1g38scnj	136	223	decomposition	decomposition	NOUN
cord-191574-1g38scnj	136	224	method	method	NOUN
cord-191574-1g38scnj	136	225	in	in	ADP
cord-191574-1g38scnj	136	226	applied	apply	VERB
cord-191574-1g38scnj	136	227	mathematics	mathematic	NOUN
cord-191574-1g38scnj	136	228	solving	solve	VERB
cord-191574-1g38scnj	136	229	frontier	frontier	NOUN
cord-191574-1g38scnj	136	230	problems	problem	NOUN
cord-191574-1g38scnj	136	231	of	of	ADP
cord-191574-1g38scnj	136	232	physics	physics	NOUN
cord-191574-1g38scnj	136	233	:	:	PUNCT
cord-191574-1g38scnj	136	234	the	the	DET
cord-191574-1g38scnj	136	235	decomposition	decomposition	NOUN
cord-191574-1g38scnj	136	236	method	method	VERB
cord-191574-1g38scnj	136	237	a	a	DET
cord-191574-1g38scnj	136	238	comparison	comparison	NOUN
cord-191574-1g38scnj	136	239	between	between	ADP
cord-191574-1g38scnj	136	240	the	the	DET
cord-191574-1g38scnj	136	241	variational	variational	ADJ
cord-191574-1g38scnj	136	242	iteration	iteration	NOUN
cord-191574-1g38scnj	136	243	method	method	NOUN
cord-191574-1g38scnj	136	244	and	and	CCONJ
cord-191574-1g38scnj	136	245	adomian	adomian	ADJ
cord-191574-1g38scnj	136	246	decomposition	decomposition	NOUN
cord-191574-1g38scnj	136	247	method	method	NOUN
cord-191574-1g38scnj	136	248	solving	solve	VERB
cord-191574-1g38scnj	136	249	new	new	ADJ
cord-191574-1g38scnj	136	250	fourth	fourth	ADJ
cord-191574-1g38scnj	136	251	-	-	PUNCT
cord-191574-1g38scnj	136	252	order	order	NOUN
cord-191574-1g38scnj	136	253	emden	emden	VERB
cord-191574-1g38scnj	136	254	-	-	PUNCT
cord-191574-1g38scnj	136	255	fowler	fowler	NOUN
cord-191574-1g38scnj	136	256	-	-	PUNCT
cord-191574-1g38scnj	136	257	type	type	NOUN
cord-191574-1g38scnj	136	258	equations	equation	NOUN
cord-191574-1g38scnj	136	259	by	by	ADP
cord-191574-1g38scnj	136	260	the	the	DET
cord-191574-1g38scnj	136	261	adomian	adomian	ADJ
cord-191574-1g38scnj	136	262	decomposition	decomposition	NOUN
cord-191574-1g38scnj	136	263	method	method	NOUN
cord-191574-1g38scnj	136	264	a	a	DET
cord-191574-1g38scnj	136	265	reliable	reliable	ADJ
cord-191574-1g38scnj	136	266	algorithm	algorithm	NOUN
cord-191574-1g38scnj	136	267	for	for	ADP
cord-191574-1g38scnj	136	268	positive	positive	ADJ
cord-191574-1g38scnj	136	269	solutions	solution	NOUN
cord-191574-1g38scnj	136	270	of	of	ADP
cord-191574-1g38scnj	136	271	nonlinear	nonlinear	ADJ
cord-191574-1g38scnj	136	272	boundary	boundary	ADJ
cord-191574-1g38scnj	136	273	value	value	NOUN
cord-191574-1g38scnj	136	274	problems	problem	NOUN
cord-191574-1g38scnj	136	275	by	by	ADP
cord-191574-1g38scnj	136	276	the	the	DET
cord-191574-1g38scnj	136	277	multistage	multistage	ADJ
cord-191574-1g38scnj	136	278	adomian	adomian	ADJ
cord-191574-1g38scnj	136	279	decomposition	decomposition	NOUN
cord-191574-1g38scnj	136	280	method	method	NOUN
cord-191574-1g38scnj	136	281	computation	computation	NOUN
cord-191574-1g38scnj	136	282	of	of	ADP
cord-191574-1g38scnj	136	283	the	the	DET
cord-191574-1g38scnj	136	284	general	general	ADJ
cord-191574-1g38scnj	136	285	relativistic	relativistic	ADJ
cord-191574-1g38scnj	136	286	perihelion	perihelion	NOUN
cord-191574-1g38scnj	136	287	precession	precession	NOUN
cord-191574-1g38scnj	136	288	and	and	CCONJ
cord-191574-1g38scnj	136	289	of	of	ADP
cord-191574-1g38scnj	136	290	light	light	ADJ
cord-191574-1g38scnj	136	291	deflection	deflection	NOUN
cord-191574-1g38scnj	136	292	via	via	ADP
cord-191574-1g38scnj	136	293	the	the	DET
cord-191574-1g38scnj	136	294	laplace	laplace	NOUN
cord-191574-1g38scnj	136	295	-	-	PUNCT
cord-191574-1g38scnj	136	296	adomian	adomian	ADJ
cord-191574-1g38scnj	136	297	decomposition	decomposition	NOUN
cord-191574-1g38scnj	136	298	method	method	NOUN
cord-191574-1g38scnj	136	299	analytical	analytical	ADJ
cord-191574-1g38scnj	136	300	and	and	CCONJ
cord-191574-1g38scnj	136	301	numerical	numerical	ADJ
cord-191574-1g38scnj	136	302	treatment	treatment	NOUN
cord-191574-1g38scnj	136	303	of	of	ADP
cord-191574-1g38scnj	136	304	falkner	falkner	PROPN
cord-191574-1g38scnj	136	305	-	-	PUNCT
cord-191574-1g38scnj	136	306	skan	skan	ADJ
cord-191574-1g38scnj	136	307	equation	equation	NOUN
cord-191574-1g38scnj	136	308	via	via	ADP
cord-191574-1g38scnj	136	309	a	a	DET
cord-191574-1g38scnj	136	310	transformation	transformation	NOUN
cord-191574-1g38scnj	136	311	and	and	CCONJ
cord-191574-1g38scnj	136	312	adomian	adomian	NOUN
cord-191574-1g38scnj	136	313	's	's	PART
cord-191574-1g38scnj	136	314	method	method	NOUN
cord-191574-1g38scnj	136	315	solving	solve	VERB
cord-191574-1g38scnj	136	316	the	the	DET
cord-191574-1g38scnj	136	317	nonlinear	nonlinear	ADJ
cord-191574-1g38scnj	136	318	biharmonic	biharmonic	ADJ
cord-191574-1g38scnj	136	319	equation	equation	NOUN
cord-191574-1g38scnj	136	320	by	by	ADP
cord-191574-1g38scnj	136	321	the	the	DET
cord-191574-1g38scnj	136	322	laplace	laplace	NOUN
cord-191574-1g38scnj	136	323	-	-	PUNCT
cord-191574-1g38scnj	136	324	adomian	adomian	NOUN
cord-191574-1g38scnj	136	325	and	and	CCONJ
cord-191574-1g38scnj	136	326	adomian	adomian	ADJ
cord-191574-1g38scnj	136	327	decomposition	decomposition	NOUN
cord-191574-1g38scnj	136	328	methods	method	NOUN
cord-191574-1g38scnj	136	329	,	,	PUNCT
cord-191574-1g38scnj	136	330	surveys	survey	NOUN
cord-191574-1g38scnj	136	331	in	in	ADP
cord-191574-1g38scnj	136	332	mathematics	mathematic	NOUN
cord-191574-1g38scnj	136	333	and	and	CCONJ
cord-191574-1g38scnj	136	334	its	its	PRON
cord-191574-1g38scnj	136	335	applications	application	NOUN
cord-191574-1g38scnj	136	336	vortex	vortex	NOUN
cord-191574-1g38scnj	136	337	solutions	solution	NOUN
cord-191574-1g38scnj	136	338	in	in	ADP
cord-191574-1g38scnj	136	339	atomic	atomic	ADJ
cord-191574-1g38scnj	136	340	bose	bose	PROPN
cord-191574-1g38scnj	136	341	-	-	PUNCT
cord-191574-1g38scnj	136	342	einstein	einstein	PROPN
cord-191574-1g38scnj	136	343	condensates	condensate	VERB
cord-191574-1g38scnj	136	344	via	via	ADP
cord-191574-1g38scnj	136	345	the	the	DET
cord-191574-1g38scnj	136	346	adomian	adomian	ADJ
cord-191574-1g38scnj	136	347	decomposition	decomposition	NOUN
cord-191574-1g38scnj	136	348	method	method	NOUN
cord-191574-1g38scnj	136	349	solution	solution	NOUN
cord-191574-1g38scnj	136	350	of	of	ADP
cord-191574-1g38scnj	136	351	the	the	DET
cord-191574-1g38scnj	136	352	epidemic	epidemic	NOUN
cord-191574-1g38scnj	136	353	model	model	NOUN
cord-191574-1g38scnj	136	354	by	by	ADP
cord-191574-1g38scnj	136	355	adomian	adomian	ADJ
cord-191574-1g38scnj	136	356	decomposition	decomposition	NOUN
cord-191574-1g38scnj	136	357	method	method	NOUN
cord-191574-1g38scnj	136	358	a	a	DET
cord-191574-1g38scnj	136	359	simple	simple	ADJ
cord-191574-1g38scnj	136	360	computational	computational	ADJ
cord-191574-1g38scnj	136	361	approach	approach	NOUN
cord-191574-1g38scnj	136	362	to	to	ADP
cord-191574-1g38scnj	136	363	the	the	DET
cord-191574-1g38scnj	136	364	susceptible	susceptible	ADJ
cord-191574-1g38scnj	136	365	-	-	PUNCT
cord-191574-1g38scnj	136	366	infected	infect	VERB
cord-191574-1g38scnj	136	367	-	-	PUNCT
cord-191574-1g38scnj	136	368	recovered	recover	VERB
cord-191574-1g38scnj	136	369	(	(	PUNCT
cord-191574-1g38scnj	136	370	sir	sir	PROPN
cord-191574-1g38scnj	136	371	)	)	PUNCT
cord-191574-1g38scnj	136	372	epidemic	epidemic	NOUN
cord-191574-1g38scnj	136	373	model	model	NOUN
cord-191574-1g38scnj	136	374	via	via	ADP
cord-191574-1g38scnj	136	375	the	the	DET
cord-191574-1g38scnj	136	376	laplace	laplace	NOUN
cord-191574-1g38scnj	136	377	-	-	PUNCT
cord-191574-1g38scnj	136	378	adomian	adomian	ADJ
cord-191574-1g38scnj	136	379	decomposition	decomposition	NOUN
cord-191574-1g38scnj	136	380	method	method	NOUN
cord-191574-1g38scnj	136	381	on	on	ADP
cord-191574-1g38scnj	136	382	the	the	DET
cord-191574-1g38scnj	136	383	integrability	integrability	NOUN
cord-191574-1g38scnj	136	384	of	of	ADP
cord-191574-1g38scnj	136	385	the	the	DET
cord-191574-1g38scnj	136	386	sir	sir	PROPN
cord-191574-1g38scnj	136	387	epidemic	epidemic	NOUN
cord-191574-1g38scnj	136	388	model	model	NOUN
cord-191574-1g38scnj	136	389	with	with	ADP
cord-191574-1g38scnj	136	390	vital	vital	ADJ
cord-191574-1g38scnj	136	391	dynamics	dynamic	NOUN
