id	sid	tid	token	lemma	pos
ejpam-5843	1	1	european	european	PROPN
ejpam-5843	1	2	journal	journal	PROPN
ejpam-5843	1	3	of	of	ADP
ejpam-5843	1	4	pure	pure	ADJ
ejpam-5843	1	5	and	and	CCONJ
ejpam-5843	1	6	applied	applied	ADJ
ejpam-5843	1	7	mathematics	mathematic	NOUN
ejpam-5843	1	8	2025	2025	NUM
ejpam-5843	1	9	,	,	PUNCT
ejpam-5843	1	10	vol	vol	NOUN
ejpam-5843	1	11	.	.	PROPN
ejpam-5843	1	12	18	18	NUM
ejpam-5843	1	13	,	,	PUNCT
ejpam-5843	1	14	issue	issue	NOUN
ejpam-5843	1	15	1	1	NUM
ejpam-5843	1	16	,	,	PUNCT
ejpam-5843	1	17	article	article	NOUN
ejpam-5843	1	18	number	number	NOUN
ejpam-5843	1	19	5843	5843	NUM
ejpam-5843	1	20	issn	issn	PROPN
ejpam-5843	1	21	1307	1307	NUM
ejpam-5843	1	22	-	-	SYM
ejpam-5843	1	23	5543	5543	NUM
ejpam-5843	1	24	–	–	PUNCT
ejpam-5843	1	25	ejpam.com	ejpam.com	X
ejpam-5843	1	26	published	publish	VERB
ejpam-5843	1	27	by	by	ADP
ejpam-5843	1	28	new	new	PROPN
ejpam-5843	1	29	york	york	PROPN
ejpam-5843	1	30	business	business	PROPN
ejpam-5843	1	31	global	global	PROPN
ejpam-5843	1	32	an	an	DET
ejpam-5843	1	33	efficient	efficient	ADJ
ejpam-5843	1	34	adaptive	adaptive	ADJ
ejpam-5843	1	35	time	time	NOUN
ejpam-5843	1	36	-	-	PUNCT
ejpam-5843	1	37	stepping	step	VERB
ejpam-5843	1	38	method	method	NOUN
ejpam-5843	1	39	for	for	ADP
ejpam-5843	1	40	the	the	DET
ejpam-5843	1	41	modeling	modeling	NOUN
ejpam-5843	1	42	of	of	ADP
ejpam-5843	1	43	epidemic	epidemic	NOUN
ejpam-5843	1	44	dynamics	dynamic	NOUN
ejpam-5843	1	45	junseok	junseok	PROPN
ejpam-5843	1	46	kim	kim	PROPN
ejpam-5843	1	47	department	department	PROPN
ejpam-5843	1	48	of	of	ADP
ejpam-5843	1	49	mathematics	mathematics	PROPN
ejpam-5843	1	50	,	,	PUNCT
ejpam-5843	1	51	korea	korea	PROPN
ejpam-5843	1	52	university	university	PROPN
ejpam-5843	1	53	,	,	PUNCT
ejpam-5843	1	54	seoul	seoul	PROPN
ejpam-5843	1	55	02841	02841	NUM
ejpam-5843	1	56	,	,	PUNCT
ejpam-5843	1	57	republic	republic	NOUN
ejpam-5843	1	58	of	of	ADP
ejpam-5843	1	59	korea	korea	PROPN
ejpam-5843	1	60	abstract	abstract	NOUN
ejpam-5843	1	61	.	.	PUNCT
ejpam-5843	2	1	in	in	ADP
ejpam-5843	2	2	this	this	DET
ejpam-5843	2	3	study	study	NOUN
ejpam-5843	2	4	,	,	PUNCT
ejpam-5843	2	5	we	we	PRON
ejpam-5843	2	6	present	present	VERB
ejpam-5843	2	7	a	a	DET
ejpam-5843	2	8	novel	novel	NOUN
ejpam-5843	2	9	and	and	CCONJ
ejpam-5843	2	10	efficient	efficient	ADJ
ejpam-5843	2	11	adaptive	adaptive	ADJ
ejpam-5843	2	12	time	time	NOUN
ejpam-5843	2	13	-	-	PUNCT
ejpam-5843	2	14	stepping	step	VERB
ejpam-5843	2	15	method	method	NOUN
ejpam-5843	2	16	for	for	ADP
ejpam-5843	2	17	modeling	model	VERB
ejpam-5843	2	18	epidemic	epidemic	NOUN
ejpam-5843	2	19	dynamics	dynamic	NOUN
ejpam-5843	2	20	.	.	PUNCT
ejpam-5843	3	1	examples	example	NOUN
ejpam-5843	3	2	of	of	ADP
ejpam-5843	3	3	mathematical	mathematical	ADJ
ejpam-5843	3	4	epidemic	epidemic	NOUN
ejpam-5843	3	5	models	model	NOUN
ejpam-5843	3	6	include	include	VERB
ejpam-5843	3	7	the	the	DET
ejpam-5843	3	8	susceptibleinfected	susceptibleinfecte	VERB
ejpam-5843	3	9	-	-	PUNCT
ejpam-5843	3	10	recovered	recover	VERB
ejpam-5843	3	11	(	(	PUNCT
ejpam-5843	3	12	sir	sir	NOUN
ejpam-5843	3	13	)	)	PUNCT
ejpam-5843	3	14	model	model	NOUN
ejpam-5843	3	15	,	,	PUNCT
ejpam-5843	3	16	the	the	DET
ejpam-5843	3	17	susceptible	susceptible	ADJ
ejpam-5843	3	18	-	-	PUNCT
ejpam-5843	3	19	exposed	expose	VERB
ejpam-5843	3	20	-	-	PUNCT
ejpam-5843	3	21	infected	infect	VERB
ejpam-5843	3	22	-	-	PUNCT
ejpam-5843	3	23	recovered	recover	VERB
ejpam-5843	3	24	(	(	PUNCT
ejpam-5843	3	25	seir	seir	NOUN
ejpam-5843	3	26	)	)	PUNCT
ejpam-5843	3	27	model	model	NOUN
ejpam-5843	3	28	,	,	PUNCT
ejpam-5843	3	29	the	the	DET
ejpam-5843	3	30	susceptible	susceptible	ADJ
ejpam-5843	3	31	-infected	-infecte	VERB
ejpam-5843	3	32	-	-	PUNCT
ejpam-5843	3	33	susceptible	susceptible	ADJ
ejpam-5843	3	34	(	(	PUNCT
ejpam-5843	3	35	sis	sis	NOUN
ejpam-5843	3	36	)	)	PUNCT
ejpam-5843	3	37	model	model	NOUN
ejpam-5843	3	38	,	,	PUNCT
ejpam-5843	3	39	the	the	DET
ejpam-5843	3	40	susceptible	susceptible	ADJ
ejpam-5843	3	41	-	-	PUNCT
ejpam-5843	3	42	infected	infect	VERB
ejpam-5843	3	43	-	-	PUNCT
ejpam-5843	3	44	recovered	recover	VERB
ejpam-5843	3	45	-	-	PUNCT
ejpam-5843	3	46	susceptible	susceptible	ADJ
ejpam-5843	3	47	(	(	PUNCT
ejpam-5843	3	48	sirs	sir	NOUN
ejpam-5843	3	49	)	)	PUNCT
ejpam-5843	3	50	model	model	NOUN
ejpam-5843	3	51	,	,	PUNCT
ejpam-5843	3	52	and	and	CCONJ
ejpam-5843	3	53	the	the	DET
ejpam-5843	3	54	susceptible	susceptible	ADJ
ejpam-5843	3	55	-	-	PUNCT
ejpam-5843	3	56	infected	infect	VERB
ejpam-5843	3	57	-	-	PUNCT
ejpam-5843	3	58	quarantined	quarantine	VERB
ejpam-5843	3	59	-	-	PUNCT
ejpam-5843	3	60	recovered	recover	VERB
ejpam-5843	3	61	(	(	PUNCT
ejpam-5843	3	62	siqr	siqr	ADJ
ejpam-5843	3	63	)	)	PUNCT
ejpam-5843	3	64	model	model	NOUN
ejpam-5843	3	65	.	.	PUNCT
ejpam-5843	4	1	more	more	ADJ
ejpam-5843	4	2	complex	complex	ADJ
ejpam-5843	4	3	models	model	NOUN
ejpam-5843	4	4	include	include	VERB
ejpam-5843	4	5	the	the	DET
ejpam-5843	4	6	maternal	maternal	ADJ
ejpam-5843	4	7	immunity	immunity	NOUN
ejpam-5843	4	8	susceptible	susceptible	ADJ
ejpam-5843	4	9	-	-	PUNCT
ejpam-5843	4	10	infected	infect	VERB
ejpam-5843	4	11	-	-	PUNCT
ejpam-5843	4	12	recovered	recover	VERB
ejpam-5843	4	13	(	(	PUNCT
ejpam-5843	4	14	msir	msir	NOUN
ejpam-5843	4	15	)	)	PUNCT
ejpam-5843	4	16	model	model	NOUN
ejpam-5843	4	17	,	,	PUNCT
ejpam-5843	4	18	the	the	DET
ejpam-5843	4	19	age	age	NOUN
ejpam-5843	4	20	-	-	PUNCT
ejpam-5843	4	21	structured	structure	VERB
ejpam-5843	4	22	seir	seir	NOUN
ejpam-5843	4	23	model	model	NOUN
ejpam-5843	4	24	,	,	PUNCT
ejpam-5843	4	25	and	and	CCONJ
ejpam-5843	4	26	stochastic	stochastic	ADJ
ejpam-5843	4	27	epidemic	epidemic	NOUN
ejpam-5843	4	28	models	model	NOUN
ejpam-5843	4	29	.	.	PUNCT
ejpam-5843	5	1	these	these	DET
ejpam-5843	5	2	models	model	NOUN
ejpam-5843	5	3	are	be	AUX
ejpam-5843	5	4	designed	design	VERB
ejpam-5843	5	5	to	to	PART
ejpam-5843	5	6	capture	capture	VERB
ejpam-5843	5	7	specific	specific	ADJ
ejpam-5843	5	8	disease	disease	NOUN
ejpam-5843	5	9	characteristics	characteristic	NOUN
ejpam-5843	5	10	,	,	PUNCT
ejpam-5843	5	11	such	such	ADJ
ejpam-5843	5	12	as	as	ADP
ejpam-5843	5	13	latency	latency	NOUN
ejpam-5843	5	14	,	,	PUNCT
ejpam-5843	5	15	immunity	immunity	NOUN
ejpam-5843	5	16	duration	duration	NOUN
ejpam-5843	5	17	,	,	PUNCT
ejpam-5843	5	18	and	and	CCONJ
ejpam-5843	5	19	intervention	intervention	NOUN
ejpam-5843	5	20	impacts	impact	NOUN
ejpam-5843	5	21	,	,	PUNCT
ejpam-5843	5	22	and	and	CCONJ
ejpam-5843	5	23	are	be	AUX
ejpam-5843	5	24	essential	essential	ADJ
ejpam-5843	5	25	tools	tool	NOUN
ejpam-5843	5	26	for	for	ADP
ejpam-5843	5	27	studying	study	VERB
ejpam-5843	5	28	the	the	DET
ejpam-5843	5	29	dynamics	dynamic	NOUN
ejpam-5843	5	30	of	of	ADP
ejpam-5843	5	31	infectious	infectious	ADJ
ejpam-5843	5	32	diseases	disease	NOUN
ejpam-5843	5	33	in	in	ADP
ejpam-5843	5	34	diverse	diverse	ADJ
ejpam-5843	5	35	populations	population	NOUN
ejpam-5843	5	36	.	.	PUNCT
ejpam-5843	6	1	the	the	DET
ejpam-5843	6	2	proposed	propose	VERB
ejpam-5843	6	3	adaptive	adaptive	ADJ
ejpam-5843	6	4	time	time	NOUN
ejpam-5843	6	5	-	-	PUNCT
ejpam-5843	6	6	stepping	step	VERB
ejpam-5843	6	7	method	method	NOUN
ejpam-5843	6	8	is	be	AUX
ejpam-5843	6	9	based	base	VERB
ejpam-5843	6	10	on	on	ADP
ejpam-5843	6	11	the	the	DET
ejpam-5843	6	12	total	total	ADJ
ejpam-5843	6	13	magnitude	magnitude	NOUN
ejpam-5843	6	14	of	of	ADP
ejpam-5843	6	15	the	the	DET
ejpam-5843	6	16	summation	summation	NOUN
ejpam-5843	6	17	of	of	ADP
ejpam-5843	6	18	compartment	compartment	NOUN
ejpam-5843	6	19	population	population	NOUN
ejpam-5843	6	20	differences	difference	NOUN
ejpam-5843	6	21	after	after	ADP
ejpam-5843	6	22	a	a	DET
ejpam-5843	6	23	single	single	ADJ
ejpam-5843	6	24	time	time	NOUN
ejpam-5843	6	25	step	step	NOUN
ejpam-5843	6	26	.	.	PUNCT
ejpam-5843	7	1	unlike	unlike	ADP
ejpam-5843	7	2	other	other	ADJ
ejpam-5843	7	3	adaptive	adaptive	ADJ
ejpam-5843	7	4	methodologies	methodology	NOUN
ejpam-5843	7	5	,	,	PUNCT
ejpam-5843	7	6	the	the	DET
ejpam-5843	7	7	proposed	propose	VERB
ejpam-5843	7	8	algorithm	algorithm	NOUN
ejpam-5843	7	9	does	do	AUX
ejpam-5843	7	10	not	not	PART
ejpam-5843	7	11	require	require	VERB
ejpam-5843	7	12	recalculations	recalculation	NOUN
ejpam-5843	7	13	to	to	PART
ejpam-5843	7	14	satisfy	satisfy	VERB
ejpam-5843	7	15	a	a	DET
ejpam-5843	7	16	given	give	VERB
ejpam-5843	7	17	tolerance	tolerance	NOUN
ejpam-5843	7	18	and	and	CCONJ
ejpam-5843	7	19	achieves	achieve	VERB
ejpam-5843	7	20	the	the	DET
ejpam-5843	7	21	desired	desire	VERB
ejpam-5843	7	22	accuracy	accuracy	NOUN
ejpam-5843	7	23	with	with	ADP
ejpam-5843	7	24	a	a	DET
ejpam-5843	7	25	single	single	ADJ
ejpam-5843	7	26	update	update	NOUN
ejpam-5843	7	27	.	.	PUNCT
ejpam-5843	8	1	therefore	therefore	ADV
ejpam-5843	8	2	,	,	PUNCT
ejpam-5843	8	3	the	the	DET
ejpam-5843	8	4	adaptive	adaptive	ADJ
ejpam-5843	8	5	time	time	NOUN
ejpam-5843	8	6	-	-	PUNCT
ejpam-5843	8	7	stepping	step	VERB
ejpam-5843	8	8	method	method	NOUN
ejpam-5843	8	9	is	be	AUX
ejpam-5843	8	10	both	both	PRON
ejpam-5843	8	11	straightforward	straightforward	ADJ
ejpam-5843	8	12	and	and	CCONJ
ejpam-5843	8	13	efficient	efficient	ADJ
ejpam-5843	8	14	.	.	PUNCT
ejpam-5843	9	1	several	several	ADJ
ejpam-5843	9	2	numerical	numerical	ADJ
ejpam-5843	9	3	tests	test	NOUN
ejpam-5843	9	4	are	be	AUX
ejpam-5843	9	5	conducted	conduct	VERB
ejpam-5843	9	6	to	to	PART
ejpam-5843	9	7	demonstrate	demonstrate	VERB
ejpam-5843	9	8	the	the	DET
ejpam-5843	9	9	superior	superior	ADJ
ejpam-5843	9	10	performance	performance	NOUN
ejpam-5843	9	11	of	of	ADP
ejpam-5843	9	12	the	the	DET
ejpam-5843	9	13	proposed	propose	VERB
ejpam-5843	9	14	method	method	NOUN
ejpam-5843	9	15	.	.	PUNCT
ejpam-5843	10	1	2020	2020	NUM
ejpam-5843	10	2	mathematics	mathematic	NOUN
ejpam-5843	10	3	subject	subject	NOUN
ejpam-5843	10	4	classifications	classification	NOUN
ejpam-5843	10	5	:	:	PUNCT
ejpam-5843	10	6	65l05	65l05	NUM
ejpam-5843	10	7	,	,	PUNCT
ejpam-5843	10	8	65l06	65l06	NUM
ejpam-5843	10	9	,	,	PUNCT
ejpam-5843	10	10	92d30	92d30	NUM
ejpam-5843	10	11	key	key	ADJ
ejpam-5843	10	12	words	word	NOUN
ejpam-5843	10	13	and	and	CCONJ
ejpam-5843	10	14	phrases	phrase	NOUN
ejpam-5843	10	15	:	:	PUNCT
ejpam-5843	10	16	adaptive	adaptive	ADJ
ejpam-5843	10	17	time	time	NOUN
ejpam-5843	10	18	-	-	PUNCT
ejpam-5843	10	19	stepping	step	VERB
ejpam-5843	10	20	,	,	PUNCT
ejpam-5843	10	21	epidemic	epidemic	NOUN
ejpam-5843	10	22	mathematical	mathematical	ADJ
ejpam-5843	10	23	model	model	NOUN
ejpam-5843	10	24	,	,	PUNCT
ejpam-5843	10	25	numerical	numerical	ADJ
ejpam-5843	10	26	method	method	NOUN
ejpam-5843	10	27	,	,	PUNCT
ejpam-5843	10	28	sir	sir	NOUN
ejpam-5843	10	29	model	model	NOUN
ejpam-5843	10	30	1	1	NUM
ejpam-5843	10	31	.	.	PUNCT
ejpam-5843	11	1	introduction	introduction	NOUN
ejpam-5843	11	2	it	it	PRON
ejpam-5843	11	3	is	be	AUX
ejpam-5843	11	4	indisputable	indisputable	ADJ
ejpam-5843	11	5	that	that	SCONJ
ejpam-5843	11	6	mathematical	mathematical	ADJ
ejpam-5843	11	7	epidemic	epidemic	NOUN
ejpam-5843	11	8	models	model	NOUN
ejpam-5843	11	9	hold	hold	VERB
ejpam-5843	11	10	paramount	paramount	ADJ
ejpam-5843	11	11	importance	importance	NOUN
ejpam-5843	11	12	in	in	ADP
ejpam-5843	11	13	the	the	DET
ejpam-5843	11	14	formulation	formulation	NOUN
ejpam-5843	11	15	of	of	ADP
ejpam-5843	11	16	strategies	strategy	NOUN
ejpam-5843	11	17	in	in	ADP
ejpam-5843	11	18	order	order	NOUN
ejpam-5843	11	19	to	to	PART
ejpam-5843	11	20	prevent	prevent	VERB
ejpam-5843	11	21	the	the	DET
ejpam-5843	11	22	transmission	transmission	NOUN
ejpam-5843	11	23	of	of	ADP
ejpam-5843	11	24	infectious	infectious	ADJ
ejpam-5843	11	25	diseases	disease	NOUN
ejpam-5843	11	26	,	,	PUNCT
ejpam-5843	11	27	including	include	VERB
ejpam-5843	11	28	covid-19	covid-19	PROPN
ejpam-5843	11	29	,	,	PUNCT
ejpam-5843	11	30	because	because	SCONJ
ejpam-5843	11	31	they	they	PRON
ejpam-5843	11	32	provide	provide	VERB
ejpam-5843	11	33	quantitative	quantitative	ADJ
ejpam-5843	11	34	insights	insight	NOUN
ejpam-5843	11	35	into	into	ADP
ejpam-5843	11	36	transmission	transmission	NOUN
ejpam-5843	11	37	patterns	pattern	NOUN
ejpam-5843	11	38	and	and	CCONJ
ejpam-5843	11	39	inform	inform	VERB
ejpam-5843	11	40	evidence	evidence	NOUN
ejpam-5843	11	41	-	-	PUNCT
ejpam-5843	11	42	based	base	VERB
ejpam-5843	11	43	policymaking	policymaking	NOUN
ejpam-5843	12	1	[	[	X
ejpam-5843	12	2	14	14	NUM
ejpam-5843	12	3	]	]	PUNCT
ejpam-5843	12	4	.	.	PUNCT
ejpam-5843	13	1	these	these	DET
ejpam-5843	13	2	mathematical	mathematical	ADJ
ejpam-5843	13	3	epidemic	epidemic	NOUN
ejpam-5843	13	4	models	model	NOUN
ejpam-5843	13	5	provide	provide	VERB
ejpam-5843	13	6	essential	essential	ADJ
ejpam-5843	13	7	tools	tool	NOUN
ejpam-5843	13	8	for	for	ADP
ejpam-5843	13	9	the	the	DET
ejpam-5843	13	10	estimation	estimation	NOUN
ejpam-5843	13	11	of	of	ADP
ejpam-5843	13	12	important	important	ADJ
ejpam-5843	13	13	epidemiological	epidemiological	ADJ
ejpam-5843	13	14	parameters	parameter	NOUN
ejpam-5843	13	15	,	,	PUNCT
ejpam-5843	13	16	such	such	ADJ
ejpam-5843	13	17	as	as	ADP
ejpam-5843	13	18	the	the	DET
ejpam-5843	13	19	basic	basic	ADJ
ejpam-5843	13	20	reproduction	reproduction	NOUN
ejpam-5843	13	21	number	number	NOUN
ejpam-5843	13	22	,	,	PUNCT
ejpam-5843	13	23	and	and	CCONJ
ejpam-5843	13	24	enable	enable	VERB
ejpam-5843	13	25	researchers	researcher	NOUN
ejpam-5843	13	26	to	to	PART
ejpam-5843	13	27	assess	assess	VERB
ejpam-5843	13	28	diverse	diverse	ADJ
ejpam-5843	13	29	intervention	intervention	NOUN
ejpam-5843	13	30	measures	measure	NOUN
ejpam-5843	13	31	[	[	X
ejpam-5843	13	32	2	2	NUM
ejpam-5843	13	33	]	]	PUNCT
ejpam-5843	13	34	.	.	PUNCT
ejpam-5843	14	1	this	this	DET
ejpam-5843	14	2	approach	approach	NOUN
ejpam-5843	14	3	enables	enable	VERB
ejpam-5843	14	4	public	public	ADJ
ejpam-5843	14	5	health	health	NOUN
ejpam-5843	14	6	authorities	authority	NOUN
ejpam-5843	14	7	to	to	PART
ejpam-5843	14	8	implement	implement	VERB
ejpam-5843	14	9	timely	timely	ADJ
ejpam-5843	14	10	and	and	CCONJ
ejpam-5843	14	11	effective	effective	ADJ
ejpam-5843	14	12	responses	response	NOUN
ejpam-5843	14	13	.	.	PUNCT
ejpam-5843	15	1	such	such	ADJ
ejpam-5843	15	2	measures	measure	NOUN
ejpam-5843	15	3	reduce	reduce	VERB
ejpam-5843	15	4	the	the	DET
ejpam-5843	15	5	impact	impact	NOUN
ejpam-5843	15	6	of	of	ADP
ejpam-5843	15	7	large	large	ADJ
ejpam-5843	15	8	-	-	PUNCT
ejpam-5843	15	9	scale	scale	NOUN
ejpam-5843	15	10	outbreaks	outbreak	NOUN
ejpam-5843	15	11	doi	doi	NOUN
ejpam-5843	15	12	:	:	PUNCT
ejpam-5843	15	13	https://doi.org/10.29020/nybg.ejpam.v18i1.5843	https://doi.org/10.29020/nybg.ejpam.v18i1.5843	NUM
ejpam-5843	15	14	email	email	NOUN
ejpam-5843	15	15	address	address	NOUN
ejpam-5843	15	16	:	:	PUNCT
ejpam-5843	15	17	cfdkim@korea.ac.kr	cfdkim@korea.ac.kr	X
ejpam-5843	15	18	(	(	PUNCT
ejpam-5843	15	19	j.	j.	PROPN
ejpam-5843	15	20	kim	kim	PROPN
ejpam-5843	15	21	)	)	PUNCT
ejpam-5843	15	22	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5843	15	23	1	1	NUM
ejpam-5843	15	24	copyright	copyright	NOUN
ejpam-5843	15	25	:	:	PUNCT
ejpam-5843	15	26	©	©	PROPN
ejpam-5843	15	27	2025	2025	NUM
ejpam-5843	15	28	the	the	DET
ejpam-5843	15	29	author(s	author(s	NOUN
ejpam-5843	15	30	)	)	PUNCT
ejpam-5843	15	31	.	.	PUNCT
ejpam-5843	16	1	(	(	PUNCT
ejpam-5843	16	2	cc	cc	NOUN
ejpam-5843	16	3	by	by	ADP
ejpam-5843	16	4	-	-	PUNCT
ejpam-5843	16	5	nc	nc	PROPN
ejpam-5843	16	6	4.0	4.0	NUM
ejpam-5843	16	7	)	)	PUNCT
ejpam-5843	16	8	j.	j.	PROPN
ejpam-5843	16	9	kim	kim	PROPN
ejpam-5843	16	10	/	/	SYM
ejpam-5843	16	11	eur	eur	PROPN
ejpam-5843	16	12	.	.	PUNCT
ejpam-5843	17	1	j.	j.	PROPN
ejpam-5843	17	2	pure	pure	PROPN
ejpam-5843	17	3	appl	appl	PROPN
ejpam-5843	17	4	.	.	PROPN
ejpam-5843	17	5	math	math	PROPN
ejpam-5843	17	6	,	,	PUNCT
ejpam-5843	17	7	18	18	NUM
ejpam-5843	17	8	(	(	PUNCT
ejpam-5843	17	9	1	1	NUM
ejpam-5843	17	10	)	)	PUNCT
ejpam-5843	17	11	(	(	PUNCT
ejpam-5843	17	12	2025	2025	NUM
ejpam-5843	17	13	)	)	PUNCT
ejpam-5843	17	14	,	,	PUNCT
ejpam-5843	17	15	5843	5843	NUM
ejpam-5843	17	16	2	2	NUM
ejpam-5843	17	17	of	of	ADP
ejpam-5843	17	18	10	10	NUM
ejpam-5843	18	1	[	[	X
ejpam-5843	18	2	15	15	NUM
ejpam-5843	18	3	]	]	PUNCT
ejpam-5843	18	4	.	.	PUNCT
ejpam-5843	19	1	therefore	therefore	ADV
ejpam-5843	19	2	,	,	PUNCT
ejpam-5843	19	3	epidemic	epidemic	NOUN
ejpam-5843	19	4	models	model	NOUN
ejpam-5843	19	5	are	be	AUX
ejpam-5843	19	6	indispensable	indispensable	ADJ
ejpam-5843	19	7	in	in	ADP
ejpam-5843	19	8	epidemiology	epidemiology	NOUN
ejpam-5843	19	9	and	and	CCONJ
ejpam-5843	19	10	public	public	ADJ
ejpam-5843	19	11	health	health	NOUN
ejpam-5843	19	12	research	research	NOUN
ejpam-5843	19	13	because	because	SCONJ
ejpam-5843	19	14	they	they	PRON
ejpam-5843	19	15	expedite	expedite	VERB
ejpam-5843	19	16	a	a	DET
ejpam-5843	19	17	systematic	systematic	ADJ
ejpam-5843	19	18	examination	examination	NOUN
ejpam-5843	19	19	of	of	ADP
ejpam-5843	19	20	disease	disease	NOUN
ejpam-5843	19	21	transmission	transmission	NOUN
ejpam-5843	19	22	and	and	CCONJ
ejpam-5843	19	23	control	control	NOUN
ejpam-5843	19	24	strategies	strategy	NOUN
ejpam-5843	19	25	.	.	PUNCT
ejpam-5843	20	1	mathematical	mathematical	ADJ
ejpam-5843	20	2	frameworks	framework	NOUN
ejpam-5843	20	3	such	such	ADJ
ejpam-5843	20	4	as	as	ADP
ejpam-5843	20	5	the	the	DET
ejpam-5843	20	6	susceptible	susceptible	ADJ
ejpam-5843	20	7	-	-	PUNCT
ejpam-5843	20	8	infected	infect	VERB
ejpam-5843	20	9	-	-	PUNCT
ejpam-5843	20	10	recovered	recover	VERB
ejpam-5843	20	11	(	(	PUNCT
ejpam-5843	20	12	sir	sir	NOUN
ejpam-5843	20	13	)	)	PUNCT
ejpam-5843	21	1	[	[	X
ejpam-5843	21	2	18	18	NUM
ejpam-5843	21	3	]	]	PUNCT
ejpam-5843	21	4	,	,	PUNCT
ejpam-5843	21	5	susceptible	susceptible	ADJ
ejpam-5843	21	6	-	-	PUNCT
ejpam-5843	21	7	exposed	expose	VERB
ejpam-5843	21	8	-	-	PUNCT
ejpam-5843	21	9	infected	infect	VERB
ejpam-5843	21	10	-	-	PUNCT
ejpam-5843	21	11	recovered	recover	VERB
ejpam-5843	21	12	(	(	PUNCT
ejpam-5843	21	13	seir	seir	NOUN
ejpam-5843	21	14	)	)	PUNCT
ejpam-5843	22	1	[	[	X
ejpam-5843	22	2	10	10	NUM
ejpam-5843	22	3	]	]	PUNCT
ejpam-5843	22	4	,	,	PUNCT
ejpam-5843	22	5	susceptible	susceptible	ADJ
ejpam-5843	22	6	-	-	PUNCT
ejpam-5843	22	7	infected	infect	VERB
ejpam-5843	22	8	-	-	PUNCT
ejpam-5843	22	9	susceptible	susceptible	ADJ
ejpam-5843	22	10	(	(	PUNCT
ejpam-5843	22	11	sis	sis	NOUN
ejpam-5843	22	12	)	)	PUNCT
ejpam-5843	23	1	[	[	X
ejpam-5843	23	2	17	17	NUM
ejpam-5843	23	3	]	]	PUNCT
ejpam-5843	23	4	,	,	PUNCT
ejpam-5843	23	5	susceptible	susceptible	ADJ
ejpam-5843	23	6	-	-	PUNCT
ejpam-5843	23	7	infected	infect	VERB
ejpam-5843	23	8	-	-	PUNCT
ejpam-5843	23	9	recovered	recover	VERB
ejpam-5843	23	10	-	-	PUNCT
ejpam-5843	23	11	susceptible	susceptible	ADJ
ejpam-5843	23	12	(	(	PUNCT
ejpam-5843	23	13	sirs	sir	NOUN
ejpam-5843	23	14	)	)	PUNCT
ejpam-5843	24	1	[	[	X
ejpam-5843	24	2	11	11	NUM
ejpam-5843	24	3	]	]	PUNCT
ejpam-5843	24	4	,	,	PUNCT
ejpam-5843	24	5	susceptible	susceptible	ADJ
ejpam-5843	24	6	-	-	PUNCT
ejpam-5843	24	7	infected	infect	VERB
ejpam-5843	24	8	quarantined	quarantined	NOUN
ejpam-5843	24	9	-	-	PUNCT
ejpam-5843	24	10	recovered	recover	VERB
ejpam-5843	24	11	(	(	PUNCT
ejpam-5843	24	12	siqr	siqr	NOUN
ejpam-5843	24	13	)	)	PUNCT
ejpam-5843	25	1	[	[	X
ejpam-5843	25	2	13	13	NUM
ejpam-5843	25	3	]	]	PUNCT
ejpam-5843	25	4	,	,	PUNCT
ejpam-5843	25	5	maternal	maternal	ADJ
ejpam-5843	25	6	immunity	immunity	NOUN
ejpam-5843	25	7	susceptible	susceptible	ADJ
ejpam-5843	25	8	-	-	PUNCT
ejpam-5843	25	9	infected	infect	VERB
ejpam-5843	25	10	-recovered	-recovered	ADJ
ejpam-5843	25	11	(	(	PUNCT
ejpam-5843	25	12	msir	msir	NOUN
ejpam-5843	25	13	)	)	PUNCT
ejpam-5843	26	1	[	[	X
ejpam-5843	26	2	16	16	NUM
ejpam-5843	26	3	]	]	PUNCT
ejpam-5843	26	4	,	,	PUNCT
ejpam-5843	26	5	age	age	NOUN
ejpam-5843	26	6	-	-	PUNCT
ejpam-5843	26	7	structured	structure	VERB
ejpam-5843	26	8	seir	seir	NOUN
ejpam-5843	26	9	[	[	X
ejpam-5843	26	10	4	4	NUM
ejpam-5843	26	11	]	]	PUNCT
ejpam-5843	26	12	,	,	PUNCT
ejpam-5843	26	13	and	and	CCONJ
ejpam-5843	26	14	stochastic	stochastic	ADJ
ejpam-5843	26	15	variants	variant	NOUN
ejpam-5843	26	16	[	[	X
ejpam-5843	26	17	12	12	NUM
ejpam-5843	26	18	]	]	PUNCT
ejpam-5843	26	19	frequently	frequently	ADV
ejpam-5843	26	20	appear	appear	VERB
ejpam-5843	26	21	in	in	ADP
ejpam-5843	26	22	studies	study	NOUN
ejpam-5843	26	23	that	that	PRON
ejpam-5843	26	24	resolve	resolve	VERB
ejpam-5843	26	25	diverse	diverse	ADJ
ejpam-5843	26	26	aspects	aspect	NOUN
ejpam-5843	26	27	of	of	ADP
ejpam-5843	26	28	infectious	infectious	ADJ
ejpam-5843	26	29	diseases	disease	NOUN
ejpam-5843	26	30	.	.	PUNCT
ejpam-5843	27	1	each	each	DET
ejpam-5843	27	2	framework	framework	NOUN
ejpam-5843	27	3	isolates	isolate	VERB
ejpam-5843	27	4	essential	essential	ADJ
ejpam-5843	27	5	characteristics	characteristic	NOUN
ejpam-5843	27	6	,	,	PUNCT
ejpam-5843	27	7	such	such	ADJ
ejpam-5843	27	8	as	as	ADP
ejpam-5843	27	9	latency	latency	NOUN
ejpam-5843	27	10	periods	period	NOUN
ejpam-5843	27	11	,	,	PUNCT
ejpam-5843	27	12	immunity	immunity	NOUN
ejpam-5843	27	13	duration	duration	NOUN
ejpam-5843	27	14	,	,	PUNCT
ejpam-5843	27	15	or	or	CCONJ
ejpam-5843	27	16	the	the	DET
ejpam-5843	27	17	impact	impact	NOUN
ejpam-5843	27	18	of	of	ADP
ejpam-5843	27	19	interventions	intervention	NOUN
ejpam-5843	27	20	.	.	PUNCT
ejpam-5843	28	1	these	these	DET
ejpam-5843	28	2	characteristics	characteristic	NOUN
ejpam-5843	28	3	are	be	AUX
ejpam-5843	28	4	crucial	crucial	ADJ
ejpam-5843	28	5	for	for	ADP
ejpam-5843	28	6	the	the	DET
ejpam-5843	28	7	design	design	NOUN
ejpam-5843	28	8	of	of	ADP
ejpam-5843	28	9	effective	effective	ADJ
ejpam-5843	28	10	prevention	prevention	NOUN
ejpam-5843	28	11	and	and	CCONJ
ejpam-5843	28	12	mitigation	mitigation	NOUN
ejpam-5843	28	13	strategies	strategy	NOUN
ejpam-5843	28	14	.	.	PUNCT
ejpam-5843	29	1	a	a	DET
ejpam-5843	29	2	wide	wide	ADJ
ejpam-5843	29	3	range	range	NOUN
ejpam-5843	29	4	of	of	ADP
ejpam-5843	29	5	computational	computational	ADJ
ejpam-5843	29	6	methods	method	NOUN
ejpam-5843	29	7	exists	exist	VERB
ejpam-5843	29	8	for	for	ADP
ejpam-5843	29	9	the	the	DET
ejpam-5843	29	10	simulation	simulation	NOUN
ejpam-5843	29	11	of	of	ADP
ejpam-5843	29	12	epidemic	epidemic	NOUN
ejpam-5843	29	13	models	model	NOUN
ejpam-5843	29	14	.	.	PUNCT
ejpam-5843	30	1	among	among	ADP
ejpam-5843	30	2	these	these	DET
ejpam-5843	30	3	approaches	approach	NOUN
ejpam-5843	30	4	,	,	PUNCT
ejpam-5843	30	5	robust	robust	ADJ
ejpam-5843	30	6	numerical	numerical	ADJ
ejpam-5843	30	7	methods	method	NOUN
ejpam-5843	30	8	offer	offer	VERB
ejpam-5843	30	9	accurate	accurate	ADJ
ejpam-5843	30	10	and	and	CCONJ
ejpam-5843	30	11	reliable	reliable	ADJ
ejpam-5843	30	12	predictions	prediction	NOUN
ejpam-5843	30	13	.	.	PUNCT
ejpam-5843	31	1	however	however	ADV
ejpam-5843	31	2	,	,	PUNCT
ejpam-5843	31	3	many	many	ADJ
ejpam-5843	31	4	standard	standard	ADJ
ejpam-5843	31	5	methods	method	NOUN
ejpam-5843	31	6	rely	rely	VERB
ejpam-5843	31	7	on	on	ADP
ejpam-5843	31	8	fixed	fix	VERB
ejpam-5843	31	9	time	time	NOUN
ejpam-5843	31	10	steps	step	NOUN
ejpam-5843	31	11	that	that	PRON
ejpam-5843	31	12	do	do	AUX
ejpam-5843	31	13	not	not	PART
ejpam-5843	31	14	adapt	adapt	VERB
ejpam-5843	31	15	to	to	ADP
ejpam-5843	31	16	significant	significant	ADJ
ejpam-5843	31	17	changes	change	NOUN
ejpam-5843	31	18	in	in	ADP
ejpam-5843	31	19	a	a	DET
ejpam-5843	31	20	system	system	NOUN
ejpam-5843	31	21	’s	’s	PART
ejpam-5843	31	22	dynamics	dynamic	NOUN
ejpam-5843	31	23	.	.	PUNCT
ejpam-5843	32	1	this	this	DET
ejpam-5843	32	2	shortcoming	shortcoming	NOUN
ejpam-5843	32	3	can	can	AUX
ejpam-5843	32	4	produce	produce	VERB
ejpam-5843	32	5	unnecessary	unnecessary	ADJ
ejpam-5843	32	6	computational	computational	ADJ
ejpam-5843	32	7	overhead	overhead	NOUN
ejpam-5843	32	8	or	or	CCONJ
ejpam-5843	32	9	diminished	diminish	VERB
ejpam-5843	32	10	accuracy	accuracy	NOUN
ejpam-5843	32	11	when	when	SCONJ
ejpam-5843	32	12	the	the	DET
ejpam-5843	32	13	model	model	NOUN
ejpam-5843	32	14	enters	enter	VERB
ejpam-5843	32	15	regions	region	NOUN
ejpam-5843	32	16	of	of	ADP
ejpam-5843	32	17	greater	great	ADJ
ejpam-5843	32	18	complexity	complexity	NOUN
ejpam-5843	32	19	or	or	CCONJ
ejpam-5843	32	20	rapid	rapid	ADJ
ejpam-5843	32	21	change	change	NOUN
ejpam-5843	32	22	.	.	PUNCT
ejpam-5843	33	1	consequently	consequently	ADV
ejpam-5843	33	2	,	,	PUNCT
ejpam-5843	33	3	there	there	PRON
ejpam-5843	33	4	is	be	VERB
ejpam-5843	33	5	a	a	DET
ejpam-5843	33	6	growing	grow	VERB
ejpam-5843	33	7	need	need	NOUN
ejpam-5843	33	8	for	for	ADP
ejpam-5843	33	9	computational	computational	ADJ
ejpam-5843	33	10	methods	method	NOUN
ejpam-5843	33	11	that	that	PRON
ejpam-5843	33	12	can	can	AUX
ejpam-5843	33	13	automatically	automatically	ADV
ejpam-5843	33	14	adjust	adjust	VERB
ejpam-5843	33	15	time	time	NOUN
ejpam-5843	33	16	steps	step	NOUN
ejpam-5843	33	17	while	while	SCONJ
ejpam-5843	33	18	maintaining	maintain	VERB
ejpam-5843	33	19	efficiency	efficiency	NOUN
ejpam-5843	33	20	.	.	PUNCT
ejpam-5843	34	1	adaptive	adaptive	ADJ
ejpam-5843	34	2	time	time	NOUN
ejpam-5843	34	3	-	-	PUNCT
ejpam-5843	34	4	stepping	step	VERB
ejpam-5843	34	5	approaches	approach	NOUN
ejpam-5843	34	6	resolve	resolve	VERB
ejpam-5843	34	7	this	this	DET
ejpam-5843	34	8	need	need	NOUN
ejpam-5843	34	9	by	by	ADP
ejpam-5843	34	10	modifying	modify	VERB
ejpam-5843	34	11	the	the	DET
ejpam-5843	34	12	step	step	NOUN
ejpam-5843	34	13	size	size	NOUN
ejpam-5843	34	14	in	in	ADP
ejpam-5843	34	15	response	response	NOUN
ejpam-5843	34	16	to	to	ADP
ejpam-5843	34	17	variations	variation	NOUN
ejpam-5843	34	18	in	in	ADP
ejpam-5843	34	19	the	the	DET
ejpam-5843	34	20	underlying	underlie	VERB
ejpam-5843	34	21	model	model	NOUN
ejpam-5843	34	22	equations	equation	NOUN
ejpam-5843	34	23	[	[	X
ejpam-5843	34	24	9	9	NUM
ejpam-5843	34	25	]	]	PUNCT
ejpam-5843	34	26	.	.	PUNCT
ejpam-5843	35	1	this	this	DET
ejpam-5843	35	2	flexibility	flexibility	NOUN
ejpam-5843	35	3	reduces	reduce	VERB
ejpam-5843	35	4	redundant	redundant	ADJ
ejpam-5843	35	5	calculations	calculation	NOUN
ejpam-5843	35	6	and	and	CCONJ
ejpam-5843	35	7	preserves	preserve	VERB
ejpam-5843	35	8	the	the	DET
ejpam-5843	35	9	accuracy	accuracy	NOUN
ejpam-5843	35	10	of	of	ADP
ejpam-5843	35	11	the	the	DET
ejpam-5843	35	12	results	result	NOUN
ejpam-5843	35	13	.	.	PUNCT
ejpam-5843	36	1	however	however	ADV
ejpam-5843	36	2	,	,	PUNCT
ejpam-5843	36	3	many	many	ADJ
ejpam-5843	36	4	existing	exist	VERB
ejpam-5843	36	5	adaptive	adaptive	ADJ
ejpam-5843	36	6	schemes	scheme	NOUN
ejpam-5843	36	7	require	require	VERB
ejpam-5843	36	8	repeated	repeat	VERB
ejpam-5843	36	9	recalculations	recalculation	NOUN
ejpam-5843	36	10	to	to	PART
ejpam-5843	36	11	enforce	enforce	VERB
ejpam-5843	36	12	a	a	DET
ejpam-5843	36	13	prescribed	prescribed	ADJ
ejpam-5843	36	14	tolerance	tolerance	NOUN
ejpam-5843	36	15	,	,	PUNCT
ejpam-5843	36	16	which	which	PRON
ejpam-5843	36	17	diminishes	diminish	VERB
ejpam-5843	36	18	their	their	PRON
ejpam-5843	36	19	overall	overall	ADJ
ejpam-5843	36	20	efficiency	efficiency	NOUN
ejpam-5843	36	21	.	.	PUNCT
ejpam-5843	37	1	this	this	DET
ejpam-5843	37	2	paper	paper	NOUN
ejpam-5843	37	3	introduces	introduce	VERB
ejpam-5843	37	4	a	a	DET
ejpam-5843	37	5	novel	novel	ADJ
ejpam-5843	37	6	adaptive	adaptive	ADJ
ejpam-5843	37	7	time	time	NOUN
ejpam-5843	37	8	-	-	PUNCT
ejpam-5843	37	9	step	step	NOUN
ejpam-5843	37	10	selection	selection	NOUN
ejpam-5843	37	11	method	method	NOUN
ejpam-5843	37	12	for	for	ADP
ejpam-5843	37	13	epidemic	epidemic	NOUN
ejpam-5843	37	14	models	model	NOUN
ejpam-5843	37	15	that	that	PRON
ejpam-5843	37	16	uses	use	VERB
ejpam-5843	37	17	the	the	DET
ejpam-5843	37	18	total	total	ADJ
ejpam-5843	37	19	magnitude	magnitude	NOUN
ejpam-5843	37	20	of	of	ADP
ejpam-5843	37	21	the	the	DET
ejpam-5843	37	22	summation	summation	NOUN
ejpam-5843	37	23	of	of	ADP
ejpam-5843	37	24	compartment	compartment	NOUN
ejpam-5843	37	25	population	population	NOUN
ejpam-5843	37	26	differences	difference	NOUN
ejpam-5843	37	27	after	after	ADP
ejpam-5843	37	28	a	a	DET
ejpam-5843	37	29	single	single	ADJ
ejpam-5843	37	30	step	step	NOUN
ejpam-5843	37	31	as	as	ADP
ejpam-5843	37	32	the	the	DET
ejpam-5843	37	33	sole	sole	ADJ
ejpam-5843	37	34	criterion	criterion	NOUN
ejpam-5843	37	35	for	for	ADP
ejpam-5843	37	36	time	time	NOUN
ejpam-5843	37	37	-	-	PUNCT
ejpam-5843	37	38	step	step	NOUN
ejpam-5843	37	39	adjustment	adjustment	NOUN
ejpam-5843	37	40	.	.	PUNCT
ejpam-5843	38	1	this	this	DET
ejpam-5843	38	2	approach	approach	NOUN
ejpam-5843	38	3	achieves	achieve	VERB
ejpam-5843	38	4	the	the	DET
ejpam-5843	38	5	required	require	VERB
ejpam-5843	38	6	accuracy	accuracy	NOUN
ejpam-5843	38	7	with	with	ADP
ejpam-5843	38	8	a	a	DET
ejpam-5843	38	9	single	single	ADJ
ejpam-5843	38	10	update	update	NOUN
ejpam-5843	38	11	and	and	CCONJ
ejpam-5843	38	12	eliminates	eliminate	VERB
ejpam-5843	38	13	additional	additional	ADJ
ejpam-5843	38	14	recalculations	recalculation	NOUN
ejpam-5843	38	15	to	to	PART
ejpam-5843	38	16	satisfy	satisfy	VERB
ejpam-5843	38	17	tolerance	tolerance	NOUN
ejpam-5843	38	18	requirements	requirement	NOUN
ejpam-5843	38	19	.	.	PUNCT
ejpam-5843	39	1	furthermore	furthermore	ADV
ejpam-5843	39	2	,	,	PUNCT
ejpam-5843	39	3	the	the	DET
ejpam-5843	39	4	criterion	criterion	NOUN
ejpam-5843	39	5	for	for	ADP
ejpam-5843	39	6	adaptive	adaptive	ADJ
ejpam-5843	39	7	time	time	NOUN
ejpam-5843	39	8	-	-	PUNCT
ejpam-5843	39	9	stepping	step	VERB
ejpam-5843	39	10	is	be	AUX
ejpam-5843	39	11	more	more	ADV
ejpam-5843	39	12	intuitive	intuitive	ADJ
ejpam-5843	39	13	compared	compare	VERB
ejpam-5843	39	14	to	to	ADP
ejpam-5843	39	15	previous	previous	ADJ
ejpam-5843	39	16	criteria	criterion	NOUN
ejpam-5843	39	17	based	base	VERB
ejpam-5843	39	18	on	on	ADP
ejpam-5843	39	19	error	error	NOUN
ejpam-5843	39	20	estimation	estimation	NOUN
ejpam-5843	39	21	.	.	PUNCT
ejpam-5843	40	1	the	the	DET
ejpam-5843	40	2	proposed	propose	VERB
ejpam-5843	40	3	method	method	NOUN
ejpam-5843	40	4	is	be	AUX
ejpam-5843	40	5	straightforward	straightforward	ADJ
ejpam-5843	40	6	to	to	PART
ejpam-5843	40	7	implement	implement	VERB
ejpam-5843	40	8	and	and	CCONJ
ejpam-5843	40	9	compatible	compatible	ADJ
ejpam-5843	40	10	with	with	ADP
ejpam-5843	40	11	the	the	DET
ejpam-5843	40	12	aforementioned	aforementioned	ADJ
ejpam-5843	40	13	broad	broad	ADJ
ejpam-5843	40	14	range	range	NOUN
ejpam-5843	40	15	of	of	ADP
ejpam-5843	40	16	epidemic	epidemic	NOUN
ejpam-5843	40	17	models	model	NOUN
ejpam-5843	40	18	.	.	PUNCT
ejpam-5843	41	1	numerical	numerical	ADJ
ejpam-5843	41	2	experiments	experiment	NOUN
ejpam-5843	41	3	confirm	confirm	VERB
ejpam-5843	41	4	the	the	DET
ejpam-5843	41	5	method	method	NOUN
ejpam-5843	41	6	’s	’s	PART
ejpam-5843	41	7	efficiency	efficiency	NOUN
ejpam-5843	41	8	.	.	PUNCT
ejpam-5843	42	1	the	the	DET
ejpam-5843	42	2	organization	organization	NOUN
ejpam-5843	42	3	of	of	ADP
ejpam-5843	42	4	this	this	DET
ejpam-5843	42	5	article	article	NOUN
ejpam-5843	42	6	is	be	AUX
ejpam-5843	42	7	described	describe	VERB
ejpam-5843	42	8	as	as	ADP
ejpam-5843	42	9	follows	follow	VERB
ejpam-5843	42	10	.	.	PUNCT
ejpam-5843	43	1	section	section	NOUN
ejpam-5843	43	2	2	2	NUM
ejpam-5843	43	3	presents	present	VERB
ejpam-5843	43	4	the	the	DET
ejpam-5843	43	5	proposed	propose	VERB
ejpam-5843	43	6	adaptive	adaptive	ADJ
ejpam-5843	43	7	time	time	NOUN
ejpam-5843	43	8	-	-	PUNCT
ejpam-5843	43	9	stepping	step	VERB
ejpam-5843	43	10	method	method	NOUN
ejpam-5843	43	11	.	.	PUNCT
ejpam-5843	44	1	section	section	NOUN
ejpam-5843	44	2	3	3	NUM
ejpam-5843	44	3	provides	provide	VERB
ejpam-5843	44	4	computational	computational	ADJ
ejpam-5843	44	5	tests	test	NOUN
ejpam-5843	44	6	to	to	PART
ejpam-5843	44	7	validate	validate	VERB
ejpam-5843	44	8	the	the	DET
ejpam-5843	44	9	efficiency	efficiency	NOUN
ejpam-5843	44	10	and	and	CCONJ
ejpam-5843	44	11	accuracy	accuracy	NOUN
ejpam-5843	44	12	of	of	ADP
ejpam-5843	44	13	the	the	DET
ejpam-5843	44	14	proposed	propose	VERB
ejpam-5843	44	15	method	method	NOUN
ejpam-5843	44	16	.	.	PUNCT
ejpam-5843	45	1	section	section	NOUN
ejpam-5843	45	2	4	4	NUM
ejpam-5843	45	3	concludes	conclude	VERB
ejpam-5843	45	4	the	the	DET
ejpam-5843	45	5	article	article	NOUN
ejpam-5843	45	6	with	with	ADP
ejpam-5843	45	7	a	a	DET
ejpam-5843	45	8	discussion	discussion	NOUN
ejpam-5843	45	9	of	of	ADP
ejpam-5843	45	10	the	the	DET
ejpam-5843	45	11	main	main	ADJ
ejpam-5843	45	12	findings	finding	NOUN
ejpam-5843	45	13	and	and	CCONJ
ejpam-5843	45	14	potential	potential	ADJ
ejpam-5843	45	15	future	future	ADJ
ejpam-5843	45	16	work	work	NOUN
ejpam-5843	45	17	.	.	PUNCT
ejpam-5843	46	1	additionally	additionally	ADV
ejpam-5843	46	2	,	,	PUNCT
ejpam-5843	46	3	the	the	DET
ejpam-5843	46	4	appendix	appendix	NOUN
ejpam-5843	46	5	includes	include	VERB
ejpam-5843	46	6	the	the	DET
ejpam-5843	46	7	matlab	matlab	PROPN
ejpam-5843	46	8	source	source	NOUN
ejpam-5843	46	9	code	code	NOUN
ejpam-5843	46	10	for	for	ADP
ejpam-5843	46	11	the	the	DET
ejpam-5843	46	12	proposed	propose	VERB
ejpam-5843	46	13	method	method	NOUN
ejpam-5843	46	14	,	,	PUNCT
ejpam-5843	46	15	which	which	PRON
ejpam-5843	46	16	can	can	AUX
ejpam-5843	46	17	be	be	AUX
ejpam-5843	46	18	used	use	VERB
ejpam-5843	46	19	as	as	ADP
ejpam-5843	46	20	a	a	DET
ejpam-5843	46	21	computational	computational	ADJ
ejpam-5843	46	22	tool	tool	NOUN
ejpam-5843	46	23	for	for	ADP
ejpam-5843	46	24	further	further	ADJ
ejpam-5843	46	25	analysis	analysis	NOUN
ejpam-5843	46	26	and	and	CCONJ
ejpam-5843	46	27	replication	replication	NOUN
ejpam-5843	46	28	of	of	ADP
ejpam-5843	46	29	results	result	NOUN
ejpam-5843	46	30	.	.	PUNCT
ejpam-5843	47	1	2	2	X
ejpam-5843	47	2	.	.	NUM
ejpam-5843	47	3	proposed	propose	VERB
ejpam-5843	47	4	computational	computational	ADJ
ejpam-5843	47	5	method	method	NOUN
ejpam-5843	47	6	the	the	DET
ejpam-5843	47	7	standard	standard	ADJ
ejpam-5843	47	8	sir	sir	NOUN
ejpam-5843	47	9	model	model	NOUN
ejpam-5843	47	10	is	be	AUX
ejpam-5843	47	11	considered	consider	VERB
ejpam-5843	47	12	to	to	PART
ejpam-5843	47	13	demonstrate	demonstrate	VERB
ejpam-5843	47	14	the	the	DET
ejpam-5843	47	15	proposed	propose	VERB
ejpam-5843	47	16	adaptive	adaptive	ADJ
ejpam-5843	47	17	timestepping	timesteppe	VERB
ejpam-5843	47	18	algorithm	algorithm	NOUN
ejpam-5843	47	19	for	for	ADP
ejpam-5843	47	20	mathematical	mathematical	ADJ
ejpam-5843	47	21	epidemic	epidemic	NOUN
ejpam-5843	47	22	models	model	NOUN
ejpam-5843	47	23	[	[	X
ejpam-5843	47	24	1	1	NUM
ejpam-5843	47	25	]	]	PUNCT
ejpam-5843	47	26	.	.	PUNCT
ejpam-5843	48	1	the	the	DET
ejpam-5843	48	2	sir	sir	PROPN
ejpam-5843	48	3	model	model	NOUN
ejpam-5843	48	4	describes	describe	VERB
ejpam-5843	48	5	the	the	DET
ejpam-5843	48	6	transmission	transmission	NOUN
ejpam-5843	48	7	of	of	ADP
ejpam-5843	48	8	infectious	infectious	ADJ
ejpam-5843	48	9	diseases	disease	NOUN
ejpam-5843	48	10	by	by	ADP
ejpam-5843	48	11	dividing	divide	VERB
ejpam-5843	48	12	the	the	DET
ejpam-5843	48	13	population	population	NOUN
ejpam-5843	48	14	into	into	ADP
ejpam-5843	48	15	three	three	NUM
ejpam-5843	48	16	groups	group	NOUN
ejpam-5843	48	17	:	:	PUNCT
ejpam-5843	48	18	susceptible	susceptible	ADJ
ejpam-5843	48	19	j.	j.	PROPN
ejpam-5843	48	20	kim	kim	PROPN
ejpam-5843	48	21	/	/	SYM
ejpam-5843	48	22	eur	eur	PROPN
ejpam-5843	48	23	.	.	PUNCT
ejpam-5843	49	1	j.	j.	PROPN
ejpam-5843	49	2	pure	pure	PROPN
ejpam-5843	49	3	appl	appl	PROPN
ejpam-5843	49	4	.	.	PROPN
ejpam-5843	49	5	math	math	PROPN
ejpam-5843	49	6	,	,	PUNCT
ejpam-5843	49	7	18	18	NUM
ejpam-5843	49	8	(	(	PUNCT
ejpam-5843	49	9	1	1	NUM
ejpam-5843	49	10	)	)	PUNCT
ejpam-5843	49	11	(	(	PUNCT
ejpam-5843	49	12	2025	2025	NUM
ejpam-5843	49	13	)	)	PUNCT
ejpam-5843	49	14	,	,	PUNCT
ejpam-5843	49	15	5843	5843	NUM
ejpam-5843	49	16	3	3	NUM
ejpam-5843	49	17	of	of	ADP
ejpam-5843	49	18	10	10	NUM
ejpam-5843	49	19	(	(	PUNCT
ejpam-5843	49	20	s	s	NOUN
ejpam-5843	49	21	)	)	PUNCT
ejpam-5843	49	22	,	,	PUNCT
ejpam-5843	49	23	representing	represent	VERB
ejpam-5843	49	24	individuals	individual	NOUN
ejpam-5843	49	25	at	at	ADP
ejpam-5843	49	26	risk	risk	NOUN
ejpam-5843	49	27	of	of	ADP
ejpam-5843	49	28	infection	infection	NOUN
ejpam-5843	49	29	;	;	PUNCT
ejpam-5843	49	30	infected	infect	VERB
ejpam-5843	49	31	(	(	PUNCT
ejpam-5843	49	32	i	i	NOUN
ejpam-5843	49	33	)	)	PUNCT
ejpam-5843	49	34	,	,	PUNCT
ejpam-5843	49	35	representing	represent	VERB
ejpam-5843	49	36	those	those	PRON
ejpam-5843	49	37	currently	currently	ADV
ejpam-5843	49	38	infected	infected	ADJ
ejpam-5843	49	39	and	and	CCONJ
ejpam-5843	49	40	capable	capable	ADJ
ejpam-5843	49	41	of	of	ADP
ejpam-5843	49	42	transmitting	transmit	VERB
ejpam-5843	49	43	the	the	DET
ejpam-5843	49	44	disease	disease	NOUN
ejpam-5843	49	45	;	;	PUNCT
ejpam-5843	49	46	and	and	CCONJ
ejpam-5843	49	47	recovered	recover	VERB
ejpam-5843	49	48	(	(	PUNCT
ejpam-5843	49	49	r	r	NOUN
ejpam-5843	49	50	)	)	PUNCT
ejpam-5843	49	51	,	,	PUNCT
ejpam-5843	49	52	representing	represent	VERB
ejpam-5843	49	53	individuals	individual	NOUN
ejpam-5843	49	54	who	who	PRON
ejpam-5843	49	55	have	have	AUX
ejpam-5843	49	56	recovered	recover	VERB
ejpam-5843	49	57	and	and	CCONJ
ejpam-5843	49	58	gained	gain	VERB
ejpam-5843	49	59	immunity	immunity	NOUN
ejpam-5843	49	60	.	.	PUNCT
ejpam-5843	50	1	the	the	DET
ejpam-5843	50	2	standard	standard	ADJ
ejpam-5843	50	3	sir	sir	NOUN
ejpam-5843	50	4	model	model	NOUN
ejpam-5843	50	5	is	be	AUX
ejpam-5843	50	6	formulated	formulate	VERB
ejpam-5843	50	7	as	as	ADP
ejpam-5843	50	8	follows	follow	VERB
ejpam-5843	50	9	:	:	PUNCT
ejpam-5843	50	10	ds(t	ds(t	ADJ
ejpam-5843	50	11	)	)	PUNCT
ejpam-5843	50	12	dt	dt	NOUN
ejpam-5843	51	1	=	=	SYM
ejpam-5843	51	2	−βs(t)i(t	−βs(t)i(t	NOUN
ejpam-5843	51	3	)	)	PUNCT
ejpam-5843	51	4	,	,	PUNCT
ejpam-5843	51	5	(	(	PUNCT
ejpam-5843	51	6	1	1	X
ejpam-5843	51	7	)	)	PUNCT
ejpam-5843	51	8	di(t	di(t	NOUN
ejpam-5843	51	9	)	)	PUNCT
ejpam-5843	51	10	dt	dt	X
ejpam-5843	52	1	=	=	SYM
ejpam-5843	52	2	βs(t)i(t)−	βs(t)i(t)−	PROPN
ejpam-5843	52	3	γi(t	γi(t	NUM
ejpam-5843	52	4	)	)	PUNCT
ejpam-5843	52	5	,	,	PUNCT
ejpam-5843	52	6	(	(	PUNCT
ejpam-5843	52	7	2	2	X
ejpam-5843	52	8	)	)	PUNCT
ejpam-5843	52	9	dr(t	dr(t	NOUN
ejpam-5843	52	10	)	)	PUNCT
ejpam-5843	52	11	dt	dt	NOUN
ejpam-5843	52	12	=	=	PUNCT
ejpam-5843	52	13	γi(t	γi(t	X
ejpam-5843	52	14	)	)	PUNCT
ejpam-5843	52	15	.	.	PUNCT
ejpam-5843	53	1	(	(	PUNCT
ejpam-5843	53	2	3	3	X
ejpam-5843	53	3	)	)	PUNCT
ejpam-5843	53	4	here	here	ADV
ejpam-5843	53	5	,	,	PUNCT
ejpam-5843	53	6	s(t	s(t	PROPN
ejpam-5843	53	7	)	)	PUNCT
ejpam-5843	53	8	,	,	PUNCT
ejpam-5843	53	9	i(t	i(t	PROPN
ejpam-5843	53	10	)	)	PUNCT
ejpam-5843	53	11	,	,	PUNCT
ejpam-5843	53	12	and	and	CCONJ
ejpam-5843	53	13	r(t	r(t	NOUN
ejpam-5843	53	14	)	)	PUNCT
ejpam-5843	53	15	represent	represent	VERB
ejpam-5843	53	16	the	the	DET
ejpam-5843	53	17	numbers	number	NOUN
ejpam-5843	53	18	of	of	ADP
ejpam-5843	53	19	susceptible	susceptible	ADJ
ejpam-5843	53	20	,	,	PUNCT
ejpam-5843	53	21	infected	infected	ADJ
ejpam-5843	53	22	,	,	PUNCT
ejpam-5843	53	23	and	and	CCONJ
ejpam-5843	53	24	recovered	recover	VERB
ejpam-5843	53	25	individuals	individual	NOUN
ejpam-5843	53	26	at	at	ADP
ejpam-5843	53	27	time	time	NOUN
ejpam-5843	53	28	t	t	PROPN
ejpam-5843	53	29	,	,	PUNCT
ejpam-5843	53	30	corresponding	correspond	VERB
ejpam-5843	53	31	to	to	ADP
ejpam-5843	53	32	those	those	PRON
ejpam-5843	53	33	not	not	PART
ejpam-5843	53	34	currently	currently	ADV
ejpam-5843	53	35	infected	infect	VERB
ejpam-5843	53	36	,	,	PUNCT
ejpam-5843	53	37	those	those	PRON
ejpam-5843	53	38	actively	actively	ADV
ejpam-5843	53	39	infected	infect	VERB
ejpam-5843	53	40	,	,	PUNCT
ejpam-5843	53	41	and	and	CCONJ
ejpam-5843	53	42	those	those	PRON
ejpam-5843	53	43	who	who	PRON
ejpam-5843	53	44	have	have	AUX
ejpam-5843	53	45	recovered	recover	VERB
ejpam-5843	53	46	,	,	PUNCT
ejpam-5843	53	47	respectively	respectively	ADV
ejpam-5843	53	48	.	.	PUNCT
ejpam-5843	54	1	the	the	DET
ejpam-5843	54	2	parameter	parameter	PROPN
ejpam-5843	54	3	β	β	PROPN
ejpam-5843	54	4	is	be	AUX
ejpam-5843	54	5	the	the	DET
ejpam-5843	54	6	average	average	ADJ
ejpam-5843	54	7	number	number	NOUN
ejpam-5843	54	8	of	of	ADP
ejpam-5843	54	9	random	random	ADJ
ejpam-5843	54	10	contacts	contact	NOUN
ejpam-5843	54	11	an	an	DET
ejpam-5843	54	12	individual	individual	NOUN
ejpam-5843	54	13	has	have	VERB
ejpam-5843	54	14	per	per	ADP
ejpam-5843	54	15	unit	unit	NOUN
ejpam-5843	54	16	time	time	NOUN
ejpam-5843	54	17	,	,	PUNCT
ejpam-5843	54	18	while	while	SCONJ
ejpam-5843	54	19	1	1	NUM
ejpam-5843	54	20	/	/	SYM
ejpam-5843	54	21	γ	γ	PROPN
ejpam-5843	54	22	denotes	denote	VERB
ejpam-5843	54	23	the	the	DET
ejpam-5843	54	24	average	average	ADJ
ejpam-5843	54	25	duration	duration	NOUN
ejpam-5843	54	26	for	for	ADP
ejpam-5843	54	27	an	an	DET
ejpam-5843	54	28	infected	infected	ADJ
ejpam-5843	54	29	individual	individual	NOUN
ejpam-5843	54	30	to	to	PART
ejpam-5843	54	31	recover	recover	VERB
ejpam-5843	54	32	[	[	X
ejpam-5843	54	33	3	3	NUM
ejpam-5843	54	34	]	]	PUNCT
ejpam-5843	54	35	.	.	PUNCT
ejpam-5843	55	1	to	to	PART
ejpam-5843	55	2	effectively	effectively	ADV
ejpam-5843	55	3	solve	solve	VERB
ejpam-5843	55	4	the	the	DET
ejpam-5843	55	5	governing	govern	VERB
ejpam-5843	55	6	equations	equation	NOUN
ejpam-5843	55	7	of	of	ADP
ejpam-5843	55	8	the	the	DET
ejpam-5843	55	9	sir	sir	NOUN
ejpam-5843	55	10	model	model	NOUN
ejpam-5843	55	11	(	(	PUNCT
ejpam-5843	55	12	1)–(3	1)–(3	NUM
ejpam-5843	55	13	)	)	PUNCT
ejpam-5843	55	14	and	and	CCONJ
ejpam-5843	55	15	capture	capture	VERB
ejpam-5843	55	16	the	the	DET
ejpam-5843	55	17	dynamics	dynamic	NOUN
ejpam-5843	55	18	of	of	ADP
ejpam-5843	55	19	disease	disease	NOUN
ejpam-5843	55	20	transmission	transmission	NOUN
ejpam-5843	55	21	,	,	PUNCT
ejpam-5843	55	22	we	we	PRON
ejpam-5843	55	23	propose	propose	VERB
ejpam-5843	55	24	a	a	DET
ejpam-5843	55	25	novel	novel	ADJ
ejpam-5843	55	26	numerical	numerical	ADJ
ejpam-5843	55	27	method	method	NOUN
ejpam-5843	55	28	that	that	PRON
ejpam-5843	55	29	uses	use	VERB
ejpam-5843	55	30	an	an	DET
ejpam-5843	55	31	adaptive	adaptive	ADJ
ejpam-5843	55	32	time	time	NOUN
ejpam-5843	55	33	-	-	PUNCT
ejpam-5843	55	34	stepping	step	VERB
ejpam-5843	55	35	approach	approach	NOUN
ejpam-5843	55	36	designed	design	VERB
ejpam-5843	55	37	to	to	ADP
ejpam-5843	55	38	the	the	DET
ejpam-5843	55	39	nonuniform	nonuniform	ADJ
ejpam-5843	55	40	temporal	temporal	ADJ
ejpam-5843	55	41	changes	change	NOUN
ejpam-5843	55	42	in	in	ADP
ejpam-5843	55	43	the	the	DET
ejpam-5843	55	44	model	model	NOUN
ejpam-5843	55	45	.	.	PUNCT
ejpam-5843	56	1	let	let	VERB
ejpam-5843	56	2	sn	sn	PROPN
ejpam-5843	56	3	=	=	SYM
ejpam-5843	56	4	s(tn	s(tn	X
ejpam-5843	56	5	)	)	PUNCT
ejpam-5843	56	6	,	,	PUNCT
ejpam-5843	56	7	in	in	ADP
ejpam-5843	56	8	=	=	NOUN
ejpam-5843	56	9	i(tn	i(tn	NOUN
ejpam-5843	56	10	)	)	PUNCT
ejpam-5843	56	11	,	,	PUNCT
ejpam-5843	56	12	and	and	CCONJ
ejpam-5843	56	13	rn	rn	PROPN
ejpam-5843	56	14	=	=	PUNCT
ejpam-5843	56	15	r(tn	r(tn	PROPN
ejpam-5843	56	16	)	)	PUNCT
ejpam-5843	56	17	for	for	ADP
ejpam-5843	56	18	n	n	NOUN
ejpam-5843	56	19	=	=	SYM
ejpam-5843	56	20	1	1	NUM
ejpam-5843	56	21	,	,	PUNCT
ejpam-5843	56	22	.	.	PUNCT
ejpam-5843	56	23	.	.	PUNCT
ejpam-5843	57	1	.	.	PUNCT
ejpam-5843	58	1	,	,	PUNCT
ejpam-5843	58	2	where	where	SCONJ
ejpam-5843	58	3	tn	tn	NOUN
ejpam-5843	58	4	=	=	SYM
ejpam-5843	58	5	tn−1	tn−1	PROPN
ejpam-5843	58	6	+	+	CCONJ
ejpam-5843	58	7	∆tn	∆tn	ADJ
ejpam-5843	58	8	,	,	PUNCT
ejpam-5843	58	9	for	for	ADP
ejpam-5843	58	10	n	n	PRON
ejpam-5843	58	11	≥	≥	NOUN
ejpam-5843	58	12	1	1	NUM
ejpam-5843	58	13	,	,	PUNCT
ejpam-5843	58	14	∆tn	∆tn	PROPN
ejpam-5843	58	15	is	be	AUX
ejpam-5843	58	16	the	the	DET
ejpam-5843	58	17	variable	variable	ADJ
ejpam-5843	58	18	time	time	NOUN
ejpam-5843	58	19	step	step	NOUN
ejpam-5843	58	20	size	size	NOUN
ejpam-5843	58	21	,	,	PUNCT
ejpam-5843	58	22	and	and	CCONJ
ejpam-5843	58	23	t0	t0	X
ejpam-5843	58	24	=	=	SYM
ejpam-5843	59	1	0	0	X
ejpam-5843	59	2	.	.	PUNCT
ejpam-5843	60	1	the	the	DET
ejpam-5843	60	2	sir	sir	PROPN
ejpam-5843	60	3	model	model	NOUN
ejpam-5843	60	4	(	(	PUNCT
ejpam-5843	60	5	1)–(3	1)–(3	NUM
ejpam-5843	60	6	)	)	PUNCT
ejpam-5843	60	7	can	can	AUX
ejpam-5843	60	8	be	be	AUX
ejpam-5843	60	9	discretized	discretize	VERB
ejpam-5843	60	10	using	use	VERB
ejpam-5843	60	11	a	a	DET
ejpam-5843	60	12	finite	finite	ADJ
ejpam-5843	60	13	difference	difference	NOUN
ejpam-5843	60	14	method	method	NOUN
ejpam-5843	60	15	[	[	X
ejpam-5843	60	16	8	8	NUM
ejpam-5843	60	17	]	]	PUNCT
ejpam-5843	60	18	as	as	SCONJ
ejpam-5843	60	19	follows	follow	VERB
ejpam-5843	60	20	:	:	PUNCT
ejpam-5843	60	21	sn+1	sn+1	VERB
ejpam-5843	60	22	−	−	PROPN
ejpam-5843	60	23	sn	sn	NOUN
ejpam-5843	60	24	∆tn+1	∆tn+1	PROPN
ejpam-5843	60	25	=	=	SYM
ejpam-5843	61	1	−βsnin	−βsnin	NOUN
ejpam-5843	61	2	,	,	PUNCT
ejpam-5843	61	3	(	(	PUNCT
ejpam-5843	61	4	4	4	X
ejpam-5843	61	5	)	)	PUNCT
ejpam-5843	61	6	in+1	in+1	NOUN
ejpam-5843	61	7	−	−	PROPN
ejpam-5843	61	8	in	in	ADP
ejpam-5843	61	9	∆tn+1	∆tn+1	PROPN
ejpam-5843	61	10	=	=	SYM
ejpam-5843	62	1	βsnin	βsnin	ADV
ejpam-5843	62	2	−	−	PROPN
ejpam-5843	62	3	γin	γin	NOUN
ejpam-5843	62	4	,	,	PUNCT
ejpam-5843	62	5	(	(	PUNCT
ejpam-5843	62	6	5	5	X
ejpam-5843	62	7	)	)	PUNCT
ejpam-5843	62	8	rn+1	rn+1	VERB
ejpam-5843	62	9	−rn	−rn	NUM
ejpam-5843	62	10	∆tn+1	∆tn+1	X
ejpam-5843	62	11	=	=	SYM
ejpam-5843	62	12	γin	γin	PROPN
ejpam-5843	62	13	,	,	PUNCT
ejpam-5843	62	14	(	(	PUNCT
ejpam-5843	62	15	6	6	NUM
ejpam-5843	62	16	)	)	PUNCT
ejpam-5843	62	17	which	which	PRON
ejpam-5843	62	18	can	can	AUX
ejpam-5843	62	19	be	be	AUX
ejpam-5843	62	20	rewritten	rewrite	VERB
ejpam-5843	62	21	as	as	SCONJ
ejpam-5843	62	22	follows	follow	VERB
ejpam-5843	62	23	:	:	PUNCT
ejpam-5843	62	24	sn+1	sn+1	X
ejpam-5843	62	25	=	=	SYM
ejpam-5843	62	26	sn	sn	PROPN
ejpam-5843	62	27	−∆tn+1βsnin	−∆tn+1βsnin	NOUN
ejpam-5843	62	28	,	,	PUNCT
ejpam-5843	62	29	(	(	PUNCT
ejpam-5843	62	30	7	7	X
ejpam-5843	62	31	)	)	PUNCT
ejpam-5843	62	32	in+1	in+1	NOUN
ejpam-5843	62	33	=	=	NOUN
ejpam-5843	62	34	in	in	ADP
ejpam-5843	62	35	+	+	PROPN
ejpam-5843	62	36	∆tn+1(βsnin	∆tn+1(βsnin	PROPN
ejpam-5843	62	37	−	−	NOUN
ejpam-5843	62	38	γin	γin	NOUN
ejpam-5843	62	39	)	)	PUNCT
ejpam-5843	62	40	,	,	PUNCT
ejpam-5843	62	41	(	(	PUNCT
ejpam-5843	62	42	8)	8)	NUM
ejpam-5843	62	43	rn+1	rn+1	NUM
ejpam-5843	62	44	=	=	SYM
ejpam-5843	62	45	rn	rn	PROPN
ejpam-5843	62	46	+	+	PROPN
ejpam-5843	62	47	∆tn+1γin	∆tn+1γin	NOUN
ejpam-5843	62	48	.	.	PUNCT
ejpam-5843	63	1	(	(	PUNCT
ejpam-5843	63	2	9	9	X
ejpam-5843	63	3	)	)	PUNCT
ejpam-5843	63	4	using	use	VERB
ejpam-5843	63	5	a	a	DET
ejpam-5843	63	6	recently	recently	ADV
ejpam-5843	63	7	developed	develop	VERB
ejpam-5843	63	8	methodology	methodology	NOUN
ejpam-5843	64	1	[	[	X
ejpam-5843	64	2	6	6	NUM
ejpam-5843	64	3	]	]	PUNCT
ejpam-5843	64	4	,	,	PUNCT
ejpam-5843	64	5	we	we	PRON
ejpam-5843	64	6	describe	describe	VERB
ejpam-5843	64	7	an	an	DET
ejpam-5843	64	8	adaptive	adaptive	ADJ
ejpam-5843	64	9	time	time	NOUN
ejpam-5843	64	10	-	-	PUNCT
ejpam-5843	64	11	stepping	step	VERB
ejpam-5843	64	12	algorithm	algorithm	NOUN
ejpam-5843	64	13	for	for	ADP
ejpam-5843	64	14	epidemic	epidemic	NOUN
ejpam-5843	64	15	mathematical	mathematical	ADJ
ejpam-5843	64	16	models	model	NOUN
ejpam-5843	64	17	.	.	PUNCT
ejpam-5843	65	1	we	we	PRON
ejpam-5843	65	2	define	define	VERB
ejpam-5843	65	3	a	a	DET
ejpam-5843	65	4	tolerance	tolerance	NOUN
ejpam-5843	65	5	tol	tol	NOUN
ejpam-5843	65	6	to	to	PART
ejpam-5843	65	7	set	set	VERB
ejpam-5843	65	8	the	the	DET
ejpam-5843	65	9	maximum	maximum	ADJ
ejpam-5843	65	10	allowable	allowable	ADJ
ejpam-5843	65	11	displacement	displacement	NOUN
ejpam-5843	65	12	of	of	ADP
ejpam-5843	65	13	the	the	DET
ejpam-5843	65	14	computational	computational	ADJ
ejpam-5843	65	15	solution	solution	NOUN
ejpam-5843	65	16	during	during	ADP
ejpam-5843	65	17	a	a	DET
ejpam-5843	65	18	time	time	NOUN
ejpam-5843	65	19	step	step	NOUN
ejpam-5843	65	20	.	.	PUNCT
ejpam-5843	66	1	by	by	ADP
ejpam-5843	66	2	multiplying	multiply	VERB
ejpam-5843	66	3	both	both	DET
ejpam-5843	66	4	sides	side	NOUN
ejpam-5843	66	5	of	of	ADP
ejpam-5843	66	6	eqs	eqs	PROPN
ejpam-5843	66	7	.	.	PUNCT
ejpam-5843	67	1	(	(	PUNCT
ejpam-5843	67	2	4)–(6	4)–(6	NUM
ejpam-5843	67	3	)	)	PUNCT
ejpam-5843	67	4	by	by	ADP
ejpam-5843	67	5	∆tn+1	∆tn+1	PROPN
ejpam-5843	67	6	,	,	PUNCT
ejpam-5843	67	7	the	the	DET
ejpam-5843	67	8	following	follow	VERB
ejpam-5843	67	9	equations	equation	NOUN
ejpam-5843	67	10	are	be	AUX
ejpam-5843	67	11	derived	derive	VERB
ejpam-5843	67	12	.	.	PUNCT
ejpam-5843	68	1	sn+1	sn+1	VERB
ejpam-5843	69	1	−	−	PROPN
ejpam-5843	69	2	sn	sn	NOUN
ejpam-5843	69	3	=	=	SYM
ejpam-5843	69	4	−∆tn+1βsnin	−∆tn+1βsnin	NOUN
ejpam-5843	69	5	,	,	PUNCT
ejpam-5843	69	6	(	(	PUNCT
ejpam-5843	69	7	10	10	NUM
ejpam-5843	69	8	)	)	PUNCT
ejpam-5843	69	9	in+1	in+1	NOUN
ejpam-5843	69	10	−	−	PROPN
ejpam-5843	69	11	in	in	ADP
ejpam-5843	69	12	=	=	PUNCT
ejpam-5843	69	13	∆tn+1(βsnin	∆tn+1(βsnin	NOUN
ejpam-5843	69	14	−	−	PROPN
ejpam-5843	69	15	γin	γin	NOUN
ejpam-5843	69	16	)	)	PUNCT
ejpam-5843	69	17	,	,	PUNCT
ejpam-5843	69	18	(	(	PUNCT
ejpam-5843	69	19	11	11	NUM
ejpam-5843	69	20	)	)	PUNCT
ejpam-5843	69	21	rn+1	rn+1	VERB
ejpam-5843	69	22	−rn	−rn	NOUN
ejpam-5843	69	23	=	=	PUNCT
ejpam-5843	69	24	∆tn+1γin	∆tn+1γin	NOUN
ejpam-5843	69	25	.	.	PUNCT
ejpam-5843	70	1	(	(	PUNCT
ejpam-5843	70	2	12	12	NUM
ejpam-5843	70	3	)	)	PUNCT
ejpam-5843	70	4	j.	j.	PROPN
ejpam-5843	70	5	kim	kim	PROPN
ejpam-5843	70	6	/	/	SYM
ejpam-5843	70	7	eur	eur	PROPN
ejpam-5843	70	8	.	.	PUNCT
ejpam-5843	71	1	j.	j.	PROPN
ejpam-5843	71	2	pure	pure	PROPN
ejpam-5843	71	3	appl	appl	PROPN
ejpam-5843	71	4	.	.	PROPN
ejpam-5843	71	5	math	math	PROPN
ejpam-5843	71	6	,	,	PUNCT
ejpam-5843	71	7	18	18	NUM
ejpam-5843	71	8	(	(	PUNCT
ejpam-5843	71	9	1	1	NUM
ejpam-5843	71	10	)	)	PUNCT
ejpam-5843	71	11	(	(	PUNCT
ejpam-5843	71	12	2025	2025	NUM
ejpam-5843	71	13	)	)	PUNCT
ejpam-5843	71	14	,	,	PUNCT
ejpam-5843	71	15	5843	5843	NUM
ejpam-5843	71	16	4	4	NUM
ejpam-5843	71	17	of	of	ADP
ejpam-5843	71	18	10	10	NUM
ejpam-5843	71	19	let	let	VERB
ejpam-5843	71	20	evol	evol	NOUN
ejpam-5843	71	21	be	be	AUX
ejpam-5843	71	22	the	the	DET
ejpam-5843	71	23	total	total	ADJ
ejpam-5843	71	24	magnitude	magnitude	NOUN
ejpam-5843	71	25	of	of	ADP
ejpam-5843	71	26	the	the	DET
ejpam-5843	71	27	summation	summation	NOUN
ejpam-5843	71	28	of	of	ADP
ejpam-5843	71	29	each	each	DET
ejpam-5843	71	30	compartment	compartment	NOUN
ejpam-5843	71	31	’s	’s	PART
ejpam-5843	71	32	population	population	NOUN
ejpam-5843	71	33	differences	difference	NOUN
ejpam-5843	71	34	after	after	ADP
ejpam-5843	71	35	a	a	DET
ejpam-5843	71	36	single	single	ADJ
ejpam-5843	71	37	time	time	NOUN
ejpam-5843	71	38	step	step	NOUN
ejpam-5843	71	39	:	:	PUNCT
ejpam-5843	71	40	evol	evol	NOUN
ejpam-5843	71	41	=	=	SYM
ejpam-5843	71	42	|sn+1	|sn+1	PRON
ejpam-5843	72	1	−	−	ADP
ejpam-5843	72	2	sn|+	sn|+	NOUN
ejpam-5843	72	3	|in+1	|in+1	PROPN
ejpam-5843	72	4	−	−	ADP
ejpam-5843	72	5	in|+	in|+	PUNCT
ejpam-5843	72	6	|rn+1	|rn+1	PROPN
ejpam-5843	72	7	−rn|	−rn|	NOUN
ejpam-5843	72	8	(	(	PUNCT
ejpam-5843	72	9	13	13	NUM
ejpam-5843	72	10	)	)	PUNCT
ejpam-5843	72	11	=	=	SYM
ejpam-5843	72	12	∆tn+1βsnin	∆tn+1βsnin	NOUN
ejpam-5843	72	13	+	+	CCONJ
ejpam-5843	72	14	|∆tn+1(βsnin	|∆tn+1(βsnin	ADJ
ejpam-5843	72	15	−	−	NOUN
ejpam-5843	72	16	γin)|+∆tn+1γin	γin)|+∆tn+1γin	NOUN
ejpam-5843	73	1	=	=	PUNCT
ejpam-5843	74	1	∆tn+1(βsnin	∆tn+1(βsnin	ADV
ejpam-5843	74	2	+	+	CCONJ
ejpam-5843	74	3	|βsnin	|βsnin	ADJ
ejpam-5843	74	4	−	−	NOUN
ejpam-5843	74	5	γin|+	γin|+	NOUN
ejpam-5843	74	6	γin	γin	NOUN
ejpam-5843	74	7	)	)	PUNCT
ejpam-5843	74	8	.	.	PUNCT
ejpam-5843	75	1	in	in	ADP
ejpam-5843	75	2	this	this	DET
ejpam-5843	75	3	study	study	NOUN
ejpam-5843	75	4	,	,	PUNCT
ejpam-5843	75	5	it	it	PRON
ejpam-5843	75	6	is	be	AUX
ejpam-5843	75	7	important	important	ADJ
ejpam-5843	75	8	to	to	PART
ejpam-5843	75	9	note	note	VERB
ejpam-5843	75	10	that	that	SCONJ
ejpam-5843	75	11	we	we	PRON
ejpam-5843	75	12	use	use	VERB
ejpam-5843	75	13	eq	eq	ADP
ejpam-5843	75	14	.	.	PUNCT
ejpam-5843	76	1	(	(	PUNCT
ejpam-5843	76	2	13	13	NUM
ejpam-5843	76	3	)	)	PUNCT
ejpam-5843	76	4	for	for	ADP
ejpam-5843	76	5	evol	evol	NOUN
ejpam-5843	76	6	,	,	PUNCT
ejpam-5843	76	7	which	which	PRON
ejpam-5843	76	8	indicates	indicate	VERB
ejpam-5843	76	9	that	that	SCONJ
ejpam-5843	76	10	our	our	PRON
ejpam-5843	76	11	objective	objective	NOUN
ejpam-5843	76	12	is	be	AUX
ejpam-5843	76	13	to	to	PART
ejpam-5843	76	14	control	control	VERB
ejpam-5843	76	15	the	the	DET
ejpam-5843	76	16	evolution	evolution	NOUN
ejpam-5843	76	17	by	by	ADP
ejpam-5843	76	18	accounting	account	VERB
ejpam-5843	76	19	for	for	ADP
ejpam-5843	76	20	population	population	NOUN
ejpam-5843	76	21	differences	difference	NOUN
ejpam-5843	76	22	among	among	ADP
ejpam-5843	76	23	the	the	DET
ejpam-5843	76	24	considered	consider	VERB
ejpam-5843	76	25	groups	group	NOUN
ejpam-5843	76	26	.	.	PUNCT
ejpam-5843	77	1	we	we	PRON
ejpam-5843	77	2	may	may	AUX
ejpam-5843	77	3	use	use	VERB
ejpam-5843	77	4	other	other	ADJ
ejpam-5843	77	5	criterion	criterion	NOUN
ejpam-5843	77	6	such	such	ADJ
ejpam-5843	77	7	as	as	ADP
ejpam-5843	77	8	evol	evol	NOUN
ejpam-5843	77	9	=	=	SYM
ejpam-5843	77	10	√	√	PROPN
ejpam-5843	77	11	(	(	PUNCT
ejpam-5843	77	12	sn+1	sn+1	NOUN
ejpam-5843	77	13	−	−	PROPN
ejpam-5843	77	14	sn)2	sn)2	NOUN
ejpam-5843	77	15	+	+	CCONJ
ejpam-5843	77	16	(	(	PUNCT
ejpam-5843	77	17	in+1	in+1	NOUN
ejpam-5843	77	18	−	−	PROPN
ejpam-5843	77	19	in)2	in)2	NOUN
ejpam-5843	77	20	+	+	CCONJ
ejpam-5843	77	21	(	(	PUNCT
ejpam-5843	77	22	rn+1	rn+1	PROPN
ejpam-5843	77	23	−rn)2	−rn)2	PROPN
ejpam-5843	77	24	.	.	PUNCT
ejpam-5843	78	1	(	(	PUNCT
ejpam-5843	78	2	14	14	NUM
ejpam-5843	78	3	)	)	PUNCT
ejpam-5843	78	4	let	let	VERB
ejpam-5843	78	5	us	we	PRON
ejpam-5843	78	6	define	define	VERB
ejpam-5843	78	7	tol	tol	NOUN
ejpam-5843	78	8	as	as	ADP
ejpam-5843	78	9	a	a	DET
ejpam-5843	78	10	given	give	VERB
ejpam-5843	78	11	tolerance	tolerance	NOUN
ejpam-5843	78	12	.	.	PUNCT
ejpam-5843	79	1	we	we	PRON
ejpam-5843	79	2	require	require	VERB
ejpam-5843	79	3	that	that	SCONJ
ejpam-5843	79	4	∆tn+1	∆tn+1	PUNCT
ejpam-5843	79	5	satisfy	satisfy	VERB
ejpam-5843	79	6	the	the	DET
ejpam-5843	79	7	following	follow	VERB
ejpam-5843	79	8	condition	condition	NOUN
ejpam-5843	79	9	:	:	PUNCT
ejpam-5843	79	10	evol	evol	NOUN
ejpam-5843	79	11	≤	≤	NOUN
ejpam-5843	79	12	tol	tol	NOUN
ejpam-5843	79	13	,	,	PUNCT
ejpam-5843	79	14	that	that	ADV
ejpam-5843	79	15	is	be	AUX
ejpam-5843	79	16	,	,	PUNCT
ejpam-5843	79	17	∆tn+1(βsnin	∆tn+1(βsnin	ADV
ejpam-5843	79	18	+	+	CCONJ
ejpam-5843	79	19	|βsnin	|βsnin	ADJ
ejpam-5843	79	20	−	−	NOUN
ejpam-5843	79	21	γin|+	γin|+	NOUN
ejpam-5843	79	22	γin	γin	NOUN
ejpam-5843	79	23	)	)	PUNCT
ejpam-5843	79	24	≤	≤	NUM
ejpam-5843	79	25	tol	tol	NOUN
ejpam-5843	79	26	.	.	PUNCT
ejpam-5843	80	1	(	(	PUNCT
ejpam-5843	80	2	15	15	NUM
ejpam-5843	80	3	)	)	PUNCT
ejpam-5843	80	4	from	from	ADP
ejpam-5843	80	5	eq	eq	ADP
ejpam-5843	80	6	.	.	PUNCT
ejpam-5843	81	1	(	(	PUNCT
ejpam-5843	81	2	15	15	NUM
ejpam-5843	81	3	)	)	PUNCT
ejpam-5843	81	4	,	,	PUNCT
ejpam-5843	81	5	we	we	PRON
ejpam-5843	81	6	obtain	obtain	VERB
ejpam-5843	81	7	the	the	DET
ejpam-5843	81	8	following	follow	VERB
ejpam-5843	81	9	constraint	constraint	NOUN
ejpam-5843	81	10	on	on	ADP
ejpam-5843	81	11	the	the	DET
ejpam-5843	81	12	time	time	NOUN
ejpam-5843	81	13	step	step	NOUN
ejpam-5843	81	14	sizes	size	NOUN
ejpam-5843	81	15	:	:	PUNCT
ejpam-5843	81	16	∆tn+1	∆tn+1	X
ejpam-5843	81	17	≤	≤	NUM
ejpam-5843	81	18	tol	tol	NOUN
ejpam-5843	81	19	βsnin	βsnin	NOUN
ejpam-5843	82	1	+	+	CCONJ
ejpam-5843	82	2	|βsnin	|βsnin	ADJ
ejpam-5843	82	3	−	−	NOUN
ejpam-5843	82	4	γin|+	γin|+	NOUN
ejpam-5843	82	5	γin	γin	NOUN
ejpam-5843	82	6	.	.	PUNCT
ejpam-5843	83	1	(	(	PUNCT
ejpam-5843	83	2	16	16	NUM
ejpam-5843	83	3	)	)	PUNCT
ejpam-5843	83	4	this	this	DET
ejpam-5843	83	5	constraint	constraint	NOUN
ejpam-5843	83	6	ensures	ensure	VERB
ejpam-5843	83	7	that	that	SCONJ
ejpam-5843	83	8	the	the	DET
ejpam-5843	83	9	time	time	NOUN
ejpam-5843	83	10	step	step	NOUN
ejpam-5843	83	11	is	be	AUX
ejpam-5843	83	12	adjusted	adjust	VERB
ejpam-5843	83	13	appropriately	appropriately	ADV
ejpam-5843	83	14	to	to	PART
ejpam-5843	83	15	satisfy	satisfy	VERB
ejpam-5843	83	16	the	the	DET
ejpam-5843	83	17	tolerance	tolerance	NOUN
ejpam-5843	83	18	requirement	requirement	NOUN
ejpam-5843	83	19	tol	tol	NOUN
ejpam-5843	83	20	.	.	PUNCT
ejpam-5843	84	1	then	then	ADV
ejpam-5843	84	2	,	,	PUNCT
ejpam-5843	84	3	we	we	PRON
ejpam-5843	84	4	use	use	VERB
ejpam-5843	84	5	∆tn+1	∆tn+1	NOUN
ejpam-5843	84	6	=	=	SYM
ejpam-5843	84	7	min	min	PROPN
ejpam-5843	84	8	(	(	PUNCT
ejpam-5843	84	9	tol	tol	VERB
ejpam-5843	84	10	βsnin	βsnin	ADV
ejpam-5843	85	1	+	+	CCONJ
ejpam-5843	85	2	|βsnin	|βsnin	ADJ
ejpam-5843	85	3	−	−	NOUN
ejpam-5843	85	4	γin|+	γin|+	NOUN
ejpam-5843	85	5	γin	γin	NOUN
ejpam-5843	85	6	,	,	PUNCT
ejpam-5843	85	7	∆tmax	∆tmax	NUM
ejpam-5843	85	8	)	)	PUNCT
ejpam-5843	85	9	.	.	PUNCT
ejpam-5843	86	1	(	(	PUNCT
ejpam-5843	86	2	17	17	NUM
ejpam-5843	86	3	)	)	PUNCT
ejpam-5843	86	4	here	here	ADV
ejpam-5843	86	5	,	,	PUNCT
ejpam-5843	86	6	the	the	DET
ejpam-5843	86	7	maximum	maximum	ADJ
ejpam-5843	86	8	time	time	NOUN
ejpam-5843	86	9	step	step	NOUN
ejpam-5843	86	10	size	size	NOUN
ejpam-5843	86	11	,	,	PUNCT
ejpam-5843	86	12	∆tmax	∆tmax	PROPN
ejpam-5843	86	13	,	,	PUNCT
ejpam-5843	86	14	is	be	AUX
ejpam-5843	86	15	predetermined	predetermine	VERB
ejpam-5843	86	16	to	to	PART
ejpam-5843	86	17	guarantee	guarantee	VERB
ejpam-5843	86	18	stability	stability	NOUN
ejpam-5843	86	19	.	.	PUNCT
ejpam-5843	87	1	hence	hence	ADV
ejpam-5843	87	2	,	,	PUNCT
ejpam-5843	87	3	the	the	DET
ejpam-5843	87	4	numerical	numerical	ADJ
ejpam-5843	87	5	solutions	solution	NOUN
ejpam-5843	87	6	at	at	ADP
ejpam-5843	87	7	each	each	DET
ejpam-5843	87	8	time	time	NOUN
ejpam-5843	87	9	step	step	NOUN
ejpam-5843	87	10	are	be	AUX
ejpam-5843	87	11	provided	provide	VERB
ejpam-5843	87	12	in	in	ADP
ejpam-5843	87	13	eqs	eqs	PROPN
ejpam-5843	87	14	.	.	PUNCT
ejpam-5843	88	1	(	(	PUNCT
ejpam-5843	88	2	10)–(12	10)–(12	NUM
ejpam-5843	88	3	)	)	PUNCT
ejpam-5843	88	4	.	.	PUNCT
ejpam-5843	89	1	this	this	DET
ejpam-5843	89	2	process	process	NOUN
ejpam-5843	89	3	is	be	AUX
ejpam-5843	89	4	repeated	repeat	VERB
ejpam-5843	89	5	while	while	SCONJ
ejpam-5843	89	6	satisfying	satisfy	VERB
ejpam-5843	89	7	the	the	DET
ejpam-5843	89	8	condition	condition	NOUN
ejpam-5843	89	9	tn+∆tn+1	tn+∆tn+1	NOUN
ejpam-5843	89	10	≤	≤	NUM
ejpam-5843	89	11	t	t	PROPN
ejpam-5843	89	12	to	to	PART
ejpam-5843	89	13	compute	compute	VERB
ejpam-5843	89	14	the	the	DET
ejpam-5843	89	15	numerical	numerical	ADJ
ejpam-5843	89	16	solutions	solution	NOUN
ejpam-5843	89	17	of	of	ADP
ejpam-5843	89	18	s(t	s(t	PROPN
ejpam-5843	89	19	)	)	PUNCT
ejpam-5843	89	20	,	,	PUNCT
ejpam-5843	89	21	i(t	i(t	PROPN
ejpam-5843	89	22	)	)	PUNCT
ejpam-5843	89	23	,	,	PUNCT
ejpam-5843	89	24	and	and	CCONJ
ejpam-5843	89	25	r(t	r(t	NOUN
ejpam-5843	89	26	)	)	PUNCT
ejpam-5843	89	27	.	.	PUNCT
ejpam-5843	90	1	when	when	SCONJ
ejpam-5843	90	2	selecting	select	VERB
ejpam-5843	90	3	adaptive	adaptive	ADJ
ejpam-5843	90	4	time	time	NOUN
ejpam-5843	90	5	steps	step	NOUN
ejpam-5843	90	6	,	,	PUNCT
ejpam-5843	90	7	it	it	PRON
ejpam-5843	90	8	is	be	AUX
ejpam-5843	90	9	possible	possible	ADJ
ejpam-5843	90	10	for	for	SCONJ
ejpam-5843	90	11	tn+1	tn+1	NOUN
ejpam-5843	90	12	to	to	PART
ejpam-5843	90	13	exceed	exceed	VERB
ejpam-5843	90	14	the	the	DET
ejpam-5843	90	15	specified	specified	ADJ
ejpam-5843	90	16	final	final	ADJ
ejpam-5843	90	17	time	time	NOUN
ejpam-5843	90	18	t	t	NOUN
ejpam-5843	90	19	.	.	PUNCT
ejpam-5843	91	1	to	to	PART
ejpam-5843	91	2	prevent	prevent	VERB
ejpam-5843	91	3	this	this	PRON
ejpam-5843	91	4	,	,	PUNCT
ejpam-5843	91	5	if	if	SCONJ
ejpam-5843	91	6	tn+1	tn+1	VERB
ejpam-5843	91	7	=	=	SYM
ejpam-5843	91	8	tn+∆tn+1	tn+∆tn+1	X
ejpam-5843	91	9	>	>	X
ejpam-5843	91	10	t	t	PROPN
ejpam-5843	91	11	,	,	PUNCT
ejpam-5843	91	12	the	the	DET
ejpam-5843	91	13	time	time	NOUN
ejpam-5843	91	14	step	step	NOUN
ejpam-5843	91	15	tn+1	tn+1	NOUN
ejpam-5843	91	16	is	be	AUX
ejpam-5843	91	17	adjusted	adjust	VERB
ejpam-5843	91	18	to	to	ADP
ejpam-5843	91	19	t	t	PROPN
ejpam-5843	91	20	−	−	PROPN
ejpam-5843	91	21	tn	tn	PROPN
ejpam-5843	91	22	.	.	PROPN
ejpam-5843	92	1	3	3	X
ejpam-5843	92	2	.	.	PUNCT
ejpam-5843	92	3	computational	computational	ADJ
ejpam-5843	92	4	experiments	experiment	NOUN
ejpam-5843	92	5	this	this	DET
ejpam-5843	92	6	section	section	NOUN
ejpam-5843	92	7	presents	present	VERB
ejpam-5843	92	8	a	a	DET
ejpam-5843	92	9	series	series	NOUN
ejpam-5843	92	10	of	of	ADP
ejpam-5843	92	11	computational	computational	ADJ
ejpam-5843	92	12	experiments	experiment	NOUN
ejpam-5843	92	13	designed	design	VERB
ejpam-5843	92	14	to	to	PART
ejpam-5843	92	15	thoroughly	thoroughly	ADV
ejpam-5843	92	16	evaluate	evaluate	VERB
ejpam-5843	92	17	the	the	DET
ejpam-5843	92	18	effectiveness	effectiveness	NOUN
ejpam-5843	92	19	,	,	PUNCT
ejpam-5843	92	20	accuracy	accuracy	NOUN
ejpam-5843	92	21	,	,	PUNCT
ejpam-5843	92	22	and	and	CCONJ
ejpam-5843	92	23	high	high	ADJ
ejpam-5843	92	24	performance	performance	NOUN
ejpam-5843	92	25	of	of	ADP
ejpam-5843	92	26	the	the	DET
ejpam-5843	92	27	proposed	propose	VERB
ejpam-5843	92	28	method	method	NOUN
ejpam-5843	92	29	across	across	ADP
ejpam-5843	92	30	different	different	ADJ
ejpam-5843	92	31	scenarios	scenario	NOUN
ejpam-5843	92	32	,	,	PUNCT
ejpam-5843	92	33	which	which	PRON
ejpam-5843	92	34	highlights	highlight	VERB
ejpam-5843	92	35	its	its	PRON
ejpam-5843	92	36	robustness	robustness	NOUN
ejpam-5843	92	37	and	and	CCONJ
ejpam-5843	92	38	practical	practical	ADJ
ejpam-5843	92	39	applicability	applicability	NOUN
ejpam-5843	92	40	in	in	ADP
ejpam-5843	92	41	solving	solve	VERB
ejpam-5843	92	42	epidemic	epidemic	NOUN
ejpam-5843	92	43	problems	problem	NOUN
ejpam-5843	92	44	with	with	ADP
ejpam-5843	92	45	improved	improved	ADJ
ejpam-5843	92	46	computational	computational	ADJ
ejpam-5843	92	47	efficiency	efficiency	NOUN
ejpam-5843	92	48	and	and	CCONJ
ejpam-5843	92	49	reliability	reliability	NOUN
ejpam-5843	92	50	.	.	PUNCT
ejpam-5843	93	1	j.	j.	PROPN
ejpam-5843	93	2	kim	kim	PROPN
ejpam-5843	93	3	/	/	SYM
ejpam-5843	93	4	eur	eur	PROPN
ejpam-5843	93	5	.	.	PUNCT
ejpam-5843	94	1	j.	j.	PROPN
ejpam-5843	94	2	pure	pure	PROPN
ejpam-5843	94	3	appl	appl	PROPN
ejpam-5843	94	4	.	.	PROPN
ejpam-5843	94	5	math	math	PROPN
ejpam-5843	94	6	,	,	PUNCT
ejpam-5843	94	7	18	18	NUM
ejpam-5843	94	8	(	(	PUNCT
ejpam-5843	94	9	1	1	NUM
ejpam-5843	94	10	)	)	PUNCT
ejpam-5843	94	11	(	(	PUNCT
ejpam-5843	94	12	2025	2025	NUM
ejpam-5843	94	13	)	)	PUNCT
ejpam-5843	94	14	,	,	PUNCT
ejpam-5843	94	15	5843	5843	NUM
ejpam-5843	94	16	5	5	NUM
ejpam-5843	94	17	of	of	ADP
ejpam-5843	94	18	10	10	NUM
ejpam-5843	94	19	3.1	3.1	NUM
ejpam-5843	94	20	.	.	PUNCT
ejpam-5843	95	1	effect	effect	NOUN
ejpam-5843	95	2	of	of	ADP
ejpam-5843	95	3	the	the	DET
ejpam-5843	95	4	tolerance	tolerance	NOUN
ejpam-5843	95	5	,	,	PUNCT
ejpam-5843	95	6	tol	tol	NOUN
ejpam-5843	95	7	figure	figure	NOUN
ejpam-5843	95	8	1(a	1(a	NUM
ejpam-5843	95	9	)	)	PUNCT
ejpam-5843	95	10	shows	show	VERB
ejpam-5843	95	11	the	the	DET
ejpam-5843	95	12	temporal	temporal	ADJ
ejpam-5843	95	13	evolution	evolution	NOUN
ejpam-5843	95	14	of	of	ADP
ejpam-5843	95	15	the	the	DET
ejpam-5843	95	16	susceptible	susceptible	ADJ
ejpam-5843	95	17	s(t	s(t	PROPN
ejpam-5843	95	18	)	)	PUNCT
ejpam-5843	95	19	,	,	PUNCT
ejpam-5843	95	20	infected	infect	VERB
ejpam-5843	95	21	i(t	i(t	PROPN
ejpam-5843	95	22	)	)	PUNCT
ejpam-5843	95	23	,	,	PUNCT
ejpam-5843	95	24	and	and	CCONJ
ejpam-5843	95	25	recovered	recovered	ADJ
ejpam-5843	95	26	r(t	r(t	NOUN
ejpam-5843	95	27	)	)	PUNCT
ejpam-5843	95	28	populations	population	NOUN
ejpam-5843	95	29	,	,	PUNCT
ejpam-5843	95	30	along	along	ADP
ejpam-5843	95	31	with	with	ADP
ejpam-5843	95	32	the	the	DET
ejpam-5843	95	33	adaptive	adaptive	ADJ
ejpam-5843	95	34	time	time	NOUN
ejpam-5843	95	35	-	-	PUNCT
ejpam-5843	95	36	stepping	step	VERB
ejpam-5843	95	37	behavior	behavior	NOUN
ejpam-5843	95	38	in	in	ADP
ejpam-5843	95	39	the	the	DET
ejpam-5843	95	40	discrete	discrete	ADJ
ejpam-5843	95	41	time	time	NOUN
ejpam-5843	95	42	grid	grid	NOUN
ejpam-5843	95	43	.	.	PUNCT
ejpam-5843	96	1	the	the	DET
ejpam-5843	96	2	parameters	parameter	NOUN
ejpam-5843	96	3	are	be	AUX
ejpam-5843	96	4	β	β	X
ejpam-5843	96	5	=	=	PUNCT
ejpam-5843	96	6	0.3	0.3	NUM
ejpam-5843	96	7	,	,	PUNCT
ejpam-5843	96	8	γ	γ	X
ejpam-5843	96	9	=	=	SYM
ejpam-5843	96	10	0.1	0.1	NUM
ejpam-5843	96	11	,	,	PUNCT
ejpam-5843	96	12	and	and	CCONJ
ejpam-5843	96	13	initial	initial	ADJ
ejpam-5843	96	14	conditions	condition	NOUN
ejpam-5843	96	15	s0	s0	NOUN
ejpam-5843	96	16	=	=	SYM
ejpam-5843	96	17	0.99	0.99	NUM
ejpam-5843	96	18	,	,	PUNCT
ejpam-5843	96	19	i0	i0	PROPN
ejpam-5843	96	20	=	=	PROPN
ejpam-5843	96	21	0.01	0.01	NUM
ejpam-5843	96	22	,	,	PUNCT
ejpam-5843	96	23	and	and	CCONJ
ejpam-5843	96	24	r0	r0	NOUN
ejpam-5843	96	25	=	=	NOUN
ejpam-5843	96	26	0	0	X
ejpam-5843	96	27	.	.	PUNCT
ejpam-5843	96	28	s(t	s(t	PROPN
ejpam-5843	96	29	)	)	PUNCT
ejpam-5843	96	30	decreases	decrease	VERB
ejpam-5843	96	31	over	over	ADP
ejpam-5843	96	32	time	time	NOUN
ejpam-5843	96	33	and	and	CCONJ
ejpam-5843	96	34	represents	represent	VERB
ejpam-5843	96	35	the	the	DET
ejpam-5843	96	36	decline	decline	NOUN
ejpam-5843	96	37	of	of	ADP
ejpam-5843	96	38	the	the	DET
ejpam-5843	96	39	susceptible	susceptible	ADJ
ejpam-5843	96	40	population	population	NOUN
ejpam-5843	96	41	due	due	ADP
ejpam-5843	96	42	to	to	ADP
ejpam-5843	96	43	infection	infection	NOUN
ejpam-5843	96	44	.	.	PUNCT
ejpam-5843	97	1	i(t	i(t	NOUN
ejpam-5843	97	2	)	)	PUNCT
ejpam-5843	97	3	initially	initially	ADV
ejpam-5843	97	4	increases	increase	VERB
ejpam-5843	97	5	,	,	PUNCT
ejpam-5843	97	6	reaching	reach	VERB
ejpam-5843	97	7	a	a	DET
ejpam-5843	97	8	peak	peak	NOUN
ejpam-5843	97	9	,	,	PUNCT
ejpam-5843	97	10	and	and	CCONJ
ejpam-5843	97	11	then	then	ADV
ejpam-5843	97	12	declines	decline	VERB
ejpam-5843	97	13	as	as	SCONJ
ejpam-5843	97	14	individuals	individual	NOUN
ejpam-5843	97	15	recover	recover	VERB
ejpam-5843	97	16	.	.	PUNCT
ejpam-5843	98	1	r(t	r(t	NOUN
ejpam-5843	98	2	)	)	PUNCT
ejpam-5843	98	3	increases	increase	VERB
ejpam-5843	98	4	steadily	steadily	ADV
ejpam-5843	98	5	,	,	PUNCT
ejpam-5843	98	6	showing	show	VERB
ejpam-5843	98	7	the	the	DET
ejpam-5843	98	8	accumulation	accumulation	NOUN
ejpam-5843	98	9	of	of	ADP
ejpam-5843	98	10	recovered	recover	VERB
ejpam-5843	98	11	individuals	individual	NOUN
ejpam-5843	98	12	.	.	PUNCT
ejpam-5843	99	1	figure	figure	NOUN
ejpam-5843	99	2	1(b	1(b	NUM
ejpam-5843	99	3	)	)	PUNCT
ejpam-5843	99	4	shows	show	VERB
ejpam-5843	99	5	the	the	DET
ejpam-5843	99	6	adaptive	adaptive	ADJ
ejpam-5843	99	7	time	time	NOUN
ejpam-5843	99	8	step	step	NOUN
ejpam-5843	99	9	size	size	NOUN
ejpam-5843	99	10	(	(	PUNCT
ejpam-5843	99	11	∆tn+1	∆tn+1	PROPN
ejpam-5843	99	12	)	)	PUNCT
ejpam-5843	99	13	and	and	CCONJ
ejpam-5843	99	14	the	the	DET
ejpam-5843	99	15	corresponding	corresponding	ADJ
ejpam-5843	99	16	time	time	NOUN
ejpam-5843	99	17	grid	grid	NOUN
ejpam-5843	99	18	(	(	PUNCT
ejpam-5843	99	19	tn+1	tn+1	NOUN
ejpam-5843	99	20	)	)	PUNCT
ejpam-5843	99	21	.	.	PUNCT
ejpam-5843	100	1	the	the	DET
ejpam-5843	100	2	time	time	NOUN
ejpam-5843	100	3	step	step	NOUN
ejpam-5843	100	4	size	size	NOUN
ejpam-5843	100	5	adjusts	adjust	VERB
ejpam-5843	100	6	dynamically	dynamically	ADV
ejpam-5843	100	7	,	,	PUNCT
ejpam-5843	100	8	decreasing	decrease	VERB
ejpam-5843	100	9	during	during	ADP
ejpam-5843	100	10	rapid	rapid	ADJ
ejpam-5843	100	11	changes	change	NOUN
ejpam-5843	100	12	(	(	PUNCT
ejpam-5843	100	13	e.g.	e.g.	ADV
ejpam-5843	100	14	,	,	PUNCT
ejpam-5843	100	15	the	the	DET
ejpam-5843	100	16	peak	peak	NOUN
ejpam-5843	100	17	of	of	ADP
ejpam-5843	100	18	i(t	i(t	NOUN
ejpam-5843	100	19	)	)	PUNCT
ejpam-5843	100	20	)	)	PUNCT
ejpam-5843	100	21	and	and	CCONJ
ejpam-5843	100	22	increasing	increase	VERB
ejpam-5843	100	23	as	as	SCONJ
ejpam-5843	100	24	the	the	DET
ejpam-5843	100	25	system	system	NOUN
ejpam-5843	100	26	approaches	approach	VERB
ejpam-5843	100	27	a	a	DET
ejpam-5843	100	28	steady	steady	ADJ
ejpam-5843	100	29	state	state	NOUN
ejpam-5843	100	30	.	.	PUNCT
ejpam-5843	101	1	the	the	DET
ejpam-5843	101	2	adaptive	adaptive	ADJ
ejpam-5843	101	3	method	method	NOUN
ejpam-5843	101	4	ensures	ensure	VERB
ejpam-5843	101	5	both	both	PRON
ejpam-5843	101	6	accuracy	accuracy	NOUN
ejpam-5843	101	7	and	and	CCONJ
ejpam-5843	101	8	computational	computational	ADJ
ejpam-5843	101	9	efficiency	efficiency	NOUN
ejpam-5843	101	10	.	.	PUNCT
ejpam-5843	102	1	in	in	ADP
ejpam-5843	102	2	this	this	DET
ejpam-5843	102	3	computation	computation	NOUN
ejpam-5843	102	4	,	,	PUNCT
ejpam-5843	102	5	a	a	DET
ejpam-5843	102	6	tolerance	tolerance	NOUN
ejpam-5843	102	7	of	of	ADP
ejpam-5843	102	8	tol	tol	NOUN
ejpam-5843	102	9	=	=	PUNCT
ejpam-5843	102	10	0.1	0.1	NUM
ejpam-5843	102	11	and	and	CCONJ
ejpam-5843	102	12	a	a	DET
ejpam-5843	102	13	maximum	maximum	ADJ
ejpam-5843	102	14	step	step	NOUN
ejpam-5843	102	15	size	size	NOUN
ejpam-5843	102	16	of	of	ADP
ejpam-5843	102	17	∆tmax	∆tmax	NOUN
ejpam-5843	102	18	=	=	NOUN
ejpam-5843	102	19	3	3	NUM
ejpam-5843	102	20	are	be	AUX
ejpam-5843	102	21	used	use	VERB
ejpam-5843	102	22	.	.	PUNCT
ejpam-5843	103	1	(	(	PUNCT
ejpam-5843	103	2	a	a	X
ejpam-5843	103	3	)	)	PUNCT
ejpam-5843	103	4	(	(	PUNCT
ejpam-5843	103	5	b	b	X
ejpam-5843	103	6	)	)	PUNCT
ejpam-5843	103	7	figure	figure	NOUN
ejpam-5843	103	8	1	1	NUM
ejpam-5843	103	9	:	:	PUNCT
ejpam-5843	103	10	(	(	PUNCT
ejpam-5843	103	11	a	a	X
ejpam-5843	103	12	)	)	PUNCT
ejpam-5843	103	13	computational	computational	ADJ
ejpam-5843	103	14	results	result	NOUN
ejpam-5843	103	15	for	for	ADP
ejpam-5843	103	16	s(t	s(t	PROPN
ejpam-5843	103	17	)	)	PUNCT
ejpam-5843	103	18	,	,	PUNCT
ejpam-5843	103	19	i(t	i(t	PROPN
ejpam-5843	103	20	)	)	PUNCT
ejpam-5843	103	21	,	,	PUNCT
ejpam-5843	103	22	and	and	CCONJ
ejpam-5843	103	23	r(t	r(t	NOUN
ejpam-5843	103	24	)	)	PUNCT
ejpam-5843	103	25	with	with	ADP
ejpam-5843	103	26	an	an	DET
ejpam-5843	103	27	adaptive	adaptive	ADJ
ejpam-5843	103	28	discrete	discrete	ADJ
ejpam-5843	103	29	time	time	NOUN
ejpam-5843	103	30	grid	grid	NOUN
ejpam-5843	103	31	(	(	PUNCT
ejpam-5843	103	32	red	red	ADJ
ejpam-5843	103	33	circles	circle	NOUN
ejpam-5843	103	34	)	)	PUNCT
ejpam-5843	103	35	.	.	PUNCT
ejpam-5843	104	1	(	(	PUNCT
ejpam-5843	104	2	b	b	X
ejpam-5843	104	3	)	)	PUNCT
ejpam-5843	104	4	the	the	DET
ejpam-5843	104	5	adaptive	adaptive	ADJ
ejpam-5843	104	6	discrete	discrete	ADJ
ejpam-5843	104	7	time	time	NOUN
ejpam-5843	104	8	grid	grid	NOUN
ejpam-5843	104	9	and	and	CCONJ
ejpam-5843	104	10	corresponding	corresponding	ADJ
ejpam-5843	104	11	time	time	NOUN
ejpam-5843	104	12	steps	step	NOUN
ejpam-5843	104	13	.	.	PUNCT
ejpam-5843	105	1	the	the	DET
ejpam-5843	105	2	parameters	parameter	NOUN
ejpam-5843	105	3	used	use	VERB
ejpam-5843	105	4	are	be	AUX
ejpam-5843	105	5	β	β	X
ejpam-5843	105	6	=	=	PUNCT
ejpam-5843	105	7	0.3	0.3	NUM
ejpam-5843	105	8	,	,	PUNCT
ejpam-5843	105	9	γ	γ	X
ejpam-5843	105	10	=	=	SYM
ejpam-5843	105	11	0.1	0.1	NUM
ejpam-5843	105	12	,	,	PUNCT
ejpam-5843	105	13	s0	s0	NOUN
ejpam-5843	105	14	=	=	SYM
ejpam-5843	105	15	0.99	0.99	NUM
ejpam-5843	105	16	,	,	PUNCT
ejpam-5843	105	17	i0	i0	PROPN
ejpam-5843	105	18	=	=	PROPN
ejpam-5843	105	19	0.01	0.01	NUM
ejpam-5843	105	20	,	,	PUNCT
ejpam-5843	105	21	r0	r0	NOUN
ejpam-5843	105	22	=	=	SYM
ejpam-5843	105	23	0	0	NUM
ejpam-5843	105	24	,	,	PUNCT
ejpam-5843	105	25	t	t	NOUN
ejpam-5843	105	26	=	=	SYM
ejpam-5843	105	27	120	120	NUM
ejpam-5843	105	28	,	,	PUNCT
ejpam-5843	105	29	tol	tol	NOUN
ejpam-5843	105	30	=	=	NOUN
ejpam-5843	105	31	0.1	0.1	NUM
ejpam-5843	105	32	,	,	PUNCT
ejpam-5843	105	33	and	and	CCONJ
ejpam-5843	105	34	∆tmax	∆tmax	NOUN
ejpam-5843	105	35	=	=	SYM
ejpam-5843	105	36	3	3	X
ejpam-5843	105	37	.	.	PUNCT
ejpam-5843	105	38	when	when	SCONJ
ejpam-5843	105	39	the	the	DET
ejpam-5843	105	40	tolerance	tolerance	NOUN
ejpam-5843	105	41	is	be	AUX
ejpam-5843	105	42	reduced	reduce	VERB
ejpam-5843	105	43	to	to	AUX
ejpam-5843	105	44	tol	tol	VERB
ejpam-5843	105	45	=	=	PUNCT
ejpam-5843	105	46	0.01	0.01	NUM
ejpam-5843	105	47	,	,	PUNCT
ejpam-5843	105	48	the	the	DET
ejpam-5843	105	49	adaptive	adaptive	ADJ
ejpam-5843	105	50	time	time	NOUN
ejpam-5843	105	51	step	step	NOUN
ejpam-5843	105	52	size	size	NOUN
ejpam-5843	105	53	∆tn+1	∆tn+1	NOUN
ejpam-5843	105	54	decreases	decrease	VERB
ejpam-5843	105	55	further	far	ADV
ejpam-5843	105	56	during	during	ADP
ejpam-5843	105	57	rapid	rapid	ADJ
ejpam-5843	105	58	transitions	transition	NOUN
ejpam-5843	105	59	in	in	ADP
ejpam-5843	105	60	the	the	DET
ejpam-5843	105	61	system	system	NOUN
ejpam-5843	105	62	(	(	PUNCT
ejpam-5843	105	63	e.g.	e.g.	ADV
ejpam-5843	105	64	,	,	PUNCT
ejpam-5843	105	65	around	around	ADP
ejpam-5843	105	66	the	the	DET
ejpam-5843	105	67	peak	peak	NOUN
ejpam-5843	105	68	of	of	ADP
ejpam-5843	105	69	i(t	i(t	NOUN
ejpam-5843	105	70	)	)	PUNCT
ejpam-5843	105	71	)	)	PUNCT
ejpam-5843	105	72	to	to	PART
ejpam-5843	105	73	maintain	maintain	VERB
ejpam-5843	105	74	higher	high	ADJ
ejpam-5843	105	75	accuracy	accuracy	NOUN
ejpam-5843	105	76	as	as	SCONJ
ejpam-5843	105	77	shown	show	VERB
ejpam-5843	105	78	in	in	ADP
ejpam-5843	105	79	fig	fig	NOUN
ejpam-5843	105	80	.	.	PUNCT
ejpam-5843	106	1	2(a	2(a	NUM
ejpam-5843	106	2	)	)	PUNCT
ejpam-5843	106	3	.	.	PUNCT
ejpam-5843	107	1	as	as	ADP
ejpam-5843	107	2	a	a	DET
ejpam-5843	107	3	result	result	NOUN
ejpam-5843	107	4	,	,	PUNCT
ejpam-5843	107	5	more	more	ADJ
ejpam-5843	107	6	time	time	NOUN
ejpam-5843	107	7	steps	step	NOUN
ejpam-5843	107	8	are	be	AUX
ejpam-5843	107	9	required	require	VERB
ejpam-5843	107	10	to	to	PART
ejpam-5843	107	11	accurately	accurately	ADV
ejpam-5843	107	12	capture	capture	VERB
ejpam-5843	107	13	the	the	DET
ejpam-5843	107	14	dynamics	dynamic	NOUN
ejpam-5843	107	15	of	of	ADP
ejpam-5843	107	16	the	the	DET
ejpam-5843	107	17	system	system	NOUN
ejpam-5843	107	18	.	.	PUNCT
ejpam-5843	108	1	as	as	SCONJ
ejpam-5843	108	2	the	the	DET
ejpam-5843	108	3	system	system	NOUN
ejpam-5843	108	4	approaches	approach	VERB
ejpam-5843	108	5	a	a	DET
ejpam-5843	108	6	steady	steady	ADJ
ejpam-5843	108	7	state	state	NOUN
ejpam-5843	108	8	,	,	PUNCT
ejpam-5843	108	9	the	the	DET
ejpam-5843	108	10	step	step	NOUN
ejpam-5843	108	11	size	size	NOUN
ejpam-5843	108	12	increases	increase	NOUN
ejpam-5843	108	13	,	,	PUNCT
ejpam-5843	108	14	which	which	PRON
ejpam-5843	108	15	optimizes	optimize	VERB
ejpam-5843	108	16	computational	computational	ADJ
ejpam-5843	108	17	efficiency	efficiency	NOUN
ejpam-5843	108	18	and	and	CCONJ
ejpam-5843	108	19	maintains	maintain	VERB
ejpam-5843	108	20	accuracy	accuracy	NOUN
ejpam-5843	108	21	.	.	PUNCT
ejpam-5843	109	1	the	the	DET
ejpam-5843	109	2	adaptive	adaptive	ADJ
ejpam-5843	109	3	method	method	NOUN
ejpam-5843	109	4	ensures	ensure	VERB
ejpam-5843	109	5	reliable	reliable	ADJ
ejpam-5843	109	6	numerical	numerical	ADJ
ejpam-5843	109	7	results	result	NOUN
ejpam-5843	109	8	for	for	ADP
ejpam-5843	109	9	all	all	DET
ejpam-5843	109	10	populations	population	NOUN
ejpam-5843	109	11	.	.	PUNCT
ejpam-5843	110	1	however	however	ADV
ejpam-5843	110	2	,	,	PUNCT
ejpam-5843	110	3	compared	compare	VERB
ejpam-5843	110	4	to	to	ADP
ejpam-5843	110	5	the	the	DET
ejpam-5843	110	6	case	case	NOUN
ejpam-5843	110	7	with	with	ADP
ejpam-5843	110	8	tol	tol	NOUN
ejpam-5843	110	9	=	=	SYM
ejpam-5843	110	10	0.1	0.1	NUM
ejpam-5843	110	11	,	,	PUNCT
ejpam-5843	110	12	the	the	DET
ejpam-5843	110	13	computation	computation	NOUN
ejpam-5843	110	14	demands	demand	VERB
ejpam-5843	110	15	higher	high	ADJ
ejpam-5843	110	16	precision	precision	NOUN
ejpam-5843	110	17	and	and	CCONJ
ejpam-5843	110	18	involves	involve	VERB
ejpam-5843	110	19	more	more	ADJ
ejpam-5843	110	20	steps	step	NOUN
ejpam-5843	110	21	to	to	PART
ejpam-5843	110	22	satisfy	satisfy	VERB
ejpam-5843	110	23	the	the	DET
ejpam-5843	110	24	stricter	strict	ADJ
ejpam-5843	110	25	tolerance	tolerance	NOUN
ejpam-5843	110	26	requirement	requirement	NOUN
ejpam-5843	110	27	as	as	SCONJ
ejpam-5843	110	28	shown	show	VERB
ejpam-5843	110	29	in	in	ADP
ejpam-5843	110	30	fig	fig	NOUN
ejpam-5843	110	31	.	.	PUNCT
ejpam-5843	111	1	2(b	2(b	NUM
ejpam-5843	111	2	)	)	PUNCT
ejpam-5843	111	3	.	.	PUNCT
ejpam-5843	112	1	j.	j.	PROPN
ejpam-5843	112	2	kim	kim	PROPN
ejpam-5843	112	3	/	/	SYM
ejpam-5843	112	4	eur	eur	PROPN
ejpam-5843	112	5	.	.	PUNCT
ejpam-5843	113	1	j.	j.	PROPN
ejpam-5843	113	2	pure	pure	PROPN
ejpam-5843	113	3	appl	appl	PROPN
ejpam-5843	113	4	.	.	PROPN
ejpam-5843	113	5	math	math	PROPN
ejpam-5843	113	6	,	,	PUNCT
ejpam-5843	113	7	18	18	NUM
ejpam-5843	113	8	(	(	PUNCT
ejpam-5843	113	9	1	1	NUM
ejpam-5843	113	10	)	)	PUNCT
ejpam-5843	113	11	(	(	PUNCT
ejpam-5843	113	12	2025	2025	NUM
ejpam-5843	113	13	)	)	PUNCT
ejpam-5843	113	14	,	,	PUNCT
ejpam-5843	113	15	5843	5843	NUM
ejpam-5843	113	16	6	6	NUM
ejpam-5843	113	17	of	of	ADP
ejpam-5843	113	18	10	10	NUM
ejpam-5843	113	19	for	for	ADP
ejpam-5843	113	20	this	this	DET
ejpam-5843	113	21	computation	computation	NOUN
ejpam-5843	113	22	,	,	PUNCT
ejpam-5843	113	23	the	the	DET
ejpam-5843	113	24	maximum	maximum	ADJ
ejpam-5843	113	25	step	step	NOUN
ejpam-5843	113	26	size	size	NOUN
ejpam-5843	113	27	of	of	ADP
ejpam-5843	113	28	∆tmax	∆tmax	NOUN
ejpam-5843	113	29	=	=	NOUN
ejpam-5843	113	30	3	3	NUM
ejpam-5843	113	31	is	be	AUX
ejpam-5843	113	32	used	use	VERB
ejpam-5843	113	33	.	.	PUNCT
ejpam-5843	114	1	(	(	PUNCT
ejpam-5843	114	2	a	a	X
ejpam-5843	114	3	)	)	PUNCT
ejpam-5843	114	4	(	(	PUNCT
ejpam-5843	114	5	b	b	X
ejpam-5843	114	6	)	)	PUNCT
ejpam-5843	114	7	figure	figure	NOUN
ejpam-5843	114	8	2	2	NUM
ejpam-5843	114	9	:	:	PUNCT
ejpam-5843	114	10	(	(	PUNCT
ejpam-5843	114	11	a	a	X
ejpam-5843	114	12	)	)	PUNCT
ejpam-5843	114	13	computational	computational	ADJ
ejpam-5843	114	14	results	result	NOUN
ejpam-5843	114	15	for	for	ADP
ejpam-5843	114	16	s(t	s(t	PROPN
ejpam-5843	114	17	)	)	PUNCT
ejpam-5843	114	18	,	,	PUNCT
ejpam-5843	114	19	i(t	i(t	PROPN
ejpam-5843	114	20	)	)	PUNCT
ejpam-5843	114	21	,	,	PUNCT
ejpam-5843	114	22	and	and	CCONJ
ejpam-5843	114	23	r(t	r(t	NOUN
ejpam-5843	114	24	)	)	PUNCT
ejpam-5843	114	25	with	with	ADP
ejpam-5843	114	26	an	an	DET
ejpam-5843	114	27	adaptive	adaptive	ADJ
ejpam-5843	114	28	discrete	discrete	ADJ
ejpam-5843	114	29	time	time	NOUN
ejpam-5843	114	30	grid	grid	NOUN
ejpam-5843	114	31	(	(	PUNCT
ejpam-5843	114	32	red	red	ADJ
ejpam-5843	114	33	circles	circle	NOUN
ejpam-5843	114	34	)	)	PUNCT
ejpam-5843	114	35	.	.	PUNCT
ejpam-5843	115	1	(	(	PUNCT
ejpam-5843	115	2	b	b	X
ejpam-5843	115	3	)	)	PUNCT
ejpam-5843	115	4	the	the	DET
ejpam-5843	115	5	adaptive	adaptive	ADJ
ejpam-5843	115	6	discrete	discrete	ADJ
ejpam-5843	115	7	time	time	NOUN
ejpam-5843	115	8	grid	grid	NOUN
ejpam-5843	115	9	and	and	CCONJ
ejpam-5843	115	10	corresponding	corresponding	ADJ
ejpam-5843	115	11	time	time	NOUN
ejpam-5843	115	12	steps	step	NOUN
ejpam-5843	115	13	.	.	PUNCT
ejpam-5843	116	1	the	the	DET
ejpam-5843	116	2	parameters	parameter	NOUN
ejpam-5843	116	3	used	use	VERB
ejpam-5843	116	4	are	be	AUX
ejpam-5843	116	5	β	β	X
ejpam-5843	116	6	=	=	PUNCT
ejpam-5843	116	7	0.3	0.3	NUM
ejpam-5843	116	8	,	,	PUNCT
ejpam-5843	116	9	γ	γ	X
ejpam-5843	116	10	=	=	SYM
ejpam-5843	116	11	0.1	0.1	NUM
ejpam-5843	116	12	,	,	PUNCT
ejpam-5843	116	13	s0	s0	NOUN
ejpam-5843	116	14	=	=	SYM
ejpam-5843	116	15	0.99	0.99	NUM
ejpam-5843	116	16	,	,	PUNCT
ejpam-5843	116	17	i0	i0	PROPN
ejpam-5843	116	18	=	=	PROPN
ejpam-5843	116	19	0.01	0.01	NUM
ejpam-5843	116	20	,	,	PUNCT
ejpam-5843	116	21	r0	r0	NOUN
ejpam-5843	116	22	=	=	SYM
ejpam-5843	116	23	0	0	NUM
ejpam-5843	116	24	,	,	PUNCT
ejpam-5843	116	25	t	t	NOUN
ejpam-5843	116	26	=	=	SYM
ejpam-5843	116	27	120	120	NUM
ejpam-5843	116	28	,	,	PUNCT
ejpam-5843	116	29	tol	tol	NOUN
ejpam-5843	116	30	=	=	NOUN
ejpam-5843	116	31	0.01	0.01	NUM
ejpam-5843	116	32	,	,	PUNCT
ejpam-5843	116	33	and	and	CCONJ
ejpam-5843	116	34	∆tmax	∆tmax	NOUN
ejpam-5843	116	35	=	=	SYM
ejpam-5843	116	36	3	3	X
ejpam-5843	116	37	.	.	X
ejpam-5843	116	38	figure	figure	NOUN
ejpam-5843	116	39	3	3	NUM
ejpam-5843	116	40	illustrates	illustrate	VERB
ejpam-5843	116	41	the	the	DET
ejpam-5843	116	42	temporal	temporal	ADJ
ejpam-5843	116	43	evolution	evolution	NOUN
ejpam-5843	116	44	of	of	ADP
ejpam-5843	116	45	the	the	DET
ejpam-5843	116	46	susceptible	susceptible	ADJ
ejpam-5843	116	47	s(t	s(t	PROPN
ejpam-5843	116	48	)	)	PUNCT
ejpam-5843	116	49	,	,	PUNCT
ejpam-5843	116	50	infected	infect	VERB
ejpam-5843	116	51	i(t	i(t	PROPN
ejpam-5843	116	52	)	)	PUNCT
ejpam-5843	116	53	,	,	PUNCT
ejpam-5843	116	54	and	and	CCONJ
ejpam-5843	116	55	recovered	recovered	ADJ
ejpam-5843	116	56	r(t	r(t	NOUN
ejpam-5843	116	57	)	)	PUNCT
ejpam-5843	116	58	populations	population	NOUN
ejpam-5843	116	59	,	,	PUNCT
ejpam-5843	116	60	alongside	alongside	ADP
ejpam-5843	116	61	the	the	DET
ejpam-5843	116	62	adaptive	adaptive	ADJ
ejpam-5843	116	63	time	time	NOUN
ejpam-5843	116	64	-	-	PUNCT
ejpam-5843	116	65	stepping	step	VERB
ejpam-5843	116	66	behavior	behavior	NOUN
ejpam-5843	116	67	for	for	ADP
ejpam-5843	116	68	a	a	DET
ejpam-5843	116	69	discrete	discrete	ADJ
ejpam-5843	116	70	time	time	NOUN
ejpam-5843	116	71	grid	grid	NOUN
ejpam-5843	116	72	.	.	PUNCT
ejpam-5843	117	1	the	the	DET
ejpam-5843	117	2	parameters	parameter	NOUN
ejpam-5843	117	3	used	use	VERB
ejpam-5843	117	4	are	be	AUX
ejpam-5843	117	5	β	β	X
ejpam-5843	117	6	=	=	PUNCT
ejpam-5843	117	7	0.3	0.3	NUM
ejpam-5843	117	8	,	,	PUNCT
ejpam-5843	117	9	γ	γ	X
ejpam-5843	117	10	=	=	SYM
ejpam-5843	117	11	0.1	0.1	NUM
ejpam-5843	117	12	,	,	PUNCT
ejpam-5843	117	13	s0	s0	NOUN
ejpam-5843	117	14	=	=	SYM
ejpam-5843	117	15	0.99	0.99	NUM
ejpam-5843	117	16	,	,	PUNCT
ejpam-5843	117	17	i0	i0	PROPN
ejpam-5843	117	18	=	=	PROPN
ejpam-5843	117	19	0.01	0.01	NUM
ejpam-5843	117	20	,	,	PUNCT
ejpam-5843	117	21	r0	r0	NOUN
ejpam-5843	117	22	=	=	SYM
ejpam-5843	117	23	0	0	NUM
ejpam-5843	117	24	,	,	PUNCT
ejpam-5843	117	25	with	with	ADP
ejpam-5843	117	26	a	a	DET
ejpam-5843	117	27	total	total	ADJ
ejpam-5843	117	28	simulation	simulation	NOUN
ejpam-5843	117	29	time	time	NOUN
ejpam-5843	117	30	of	of	ADP
ejpam-5843	117	31	t	t	NOUN
ejpam-5843	117	32	=	=	SYM
ejpam-5843	117	33	120	120	NUM
ejpam-5843	117	34	,	,	PUNCT
ejpam-5843	117	35	a	a	DET
ejpam-5843	117	36	tolerance	tolerance	NOUN
ejpam-5843	117	37	of	of	ADP
ejpam-5843	117	38	tol	tol	NOUN
ejpam-5843	117	39	=	=	SYM
ejpam-5843	117	40	0.001	0.001	NUM
ejpam-5843	117	41	,	,	PUNCT
ejpam-5843	117	42	and	and	CCONJ
ejpam-5843	117	43	a	a	DET
ejpam-5843	117	44	maximum	maximum	ADJ
ejpam-5843	117	45	step	step	NOUN
ejpam-5843	117	46	size	size	NOUN
ejpam-5843	117	47	of	of	ADP
ejpam-5843	117	48	∆tmax	∆tmax	NOUN
ejpam-5843	117	49	=	=	SYM
ejpam-5843	117	50	3	3	X
ejpam-5843	117	51	.	.	X
ejpam-5843	117	52	figure	figure	NOUN
ejpam-5843	117	53	3(a	3(a	NUM
ejpam-5843	117	54	)	)	PUNCT
ejpam-5843	117	55	shows	show	VERB
ejpam-5843	117	56	the	the	DET
ejpam-5843	117	57	evolution	evolution	NOUN
ejpam-5843	117	58	of	of	ADP
ejpam-5843	117	59	the	the	DET
ejpam-5843	117	60	populations	population	NOUN
ejpam-5843	117	61	.	.	PUNCT
ejpam-5843	118	1	s(t	s(t	PROPN
ejpam-5843	118	2	)	)	PUNCT
ejpam-5843	118	3	decreases	decrease	VERB
ejpam-5843	118	4	over	over	ADP
ejpam-5843	118	5	time	time	NOUN
ejpam-5843	118	6	due	due	ADP
ejpam-5843	118	7	to	to	ADP
ejpam-5843	118	8	infection	infection	NOUN
ejpam-5843	118	9	,	,	PUNCT
ejpam-5843	118	10	i(t	i(t	PROPN
ejpam-5843	118	11	)	)	PUNCT
ejpam-5843	118	12	initially	initially	ADV
ejpam-5843	118	13	rises	rise	VERB
ejpam-5843	118	14	to	to	ADP
ejpam-5843	118	15	a	a	DET
ejpam-5843	118	16	peak	peak	NOUN
ejpam-5843	118	17	before	before	ADP
ejpam-5843	118	18	declining	decline	VERB
ejpam-5843	118	19	as	as	SCONJ
ejpam-5843	118	20	individuals	individual	NOUN
ejpam-5843	118	21	recover	recover	VERB
ejpam-5843	118	22	,	,	PUNCT
ejpam-5843	118	23	and	and	CCONJ
ejpam-5843	118	24	r(t	r(t	NOUN
ejpam-5843	118	25	)	)	PUNCT
ejpam-5843	118	26	steadily	steadily	ADV
ejpam-5843	118	27	increases	increase	VERB
ejpam-5843	118	28	,	,	PUNCT
ejpam-5843	118	29	representing	represent	VERB
ejpam-5843	118	30	the	the	DET
ejpam-5843	118	31	cumulative	cumulative	ADJ
ejpam-5843	118	32	number	number	NOUN
ejpam-5843	118	33	of	of	ADP
ejpam-5843	118	34	recovered	recovered	ADJ
ejpam-5843	118	35	individuals	individual	NOUN
ejpam-5843	118	36	.	.	PUNCT
ejpam-5843	119	1	figure	figure	VERB
ejpam-5843	119	2	3(b	3(b	NUM
ejpam-5843	119	3	)	)	PUNCT
ejpam-5843	119	4	presents	present	VERB
ejpam-5843	119	5	the	the	DET
ejpam-5843	119	6	adaptive	adaptive	ADJ
ejpam-5843	119	7	time	time	NOUN
ejpam-5843	119	8	step	step	NOUN
ejpam-5843	119	9	size	size	NOUN
ejpam-5843	119	10	∆tn+1	∆tn+1	PROPN
ejpam-5843	119	11	and	and	CCONJ
ejpam-5843	119	12	the	the	DET
ejpam-5843	119	13	corresponding	corresponding	ADJ
ejpam-5843	119	14	time	time	NOUN
ejpam-5843	119	15	points	point	NOUN
ejpam-5843	119	16	tn+1	tn+1	NOUN
ejpam-5843	119	17	.	.	PUNCT
ejpam-5843	120	1	compared	compare	VERB
ejpam-5843	120	2	to	to	ADP
ejpam-5843	120	3	results	result	NOUN
ejpam-5843	120	4	with	with	ADP
ejpam-5843	120	5	larger	large	ADJ
ejpam-5843	120	6	tolerances	tolerance	NOUN
ejpam-5843	120	7	,	,	PUNCT
ejpam-5843	120	8	the	the	DET
ejpam-5843	120	9	smaller	small	ADJ
ejpam-5843	120	10	tol	tol	NOUN
ejpam-5843	120	11	=	=	SYM
ejpam-5843	120	12	0.001	0.001	NUM
ejpam-5843	120	13	results	result	NOUN
ejpam-5843	120	14	in	in	ADP
ejpam-5843	120	15	significantly	significantly	ADV
ejpam-5843	120	16	smaller	small	ADJ
ejpam-5843	120	17	time	time	NOUN
ejpam-5843	120	18	steps	step	NOUN
ejpam-5843	120	19	during	during	ADP
ejpam-5843	120	20	periods	period	NOUN
ejpam-5843	120	21	of	of	ADP
ejpam-5843	120	22	rapid	rapid	ADJ
ejpam-5843	120	23	change	change	NOUN
ejpam-5843	120	24	,	,	PUNCT
ejpam-5843	120	25	such	such	ADJ
ejpam-5843	120	26	as	as	ADP
ejpam-5843	120	27	the	the	DET
ejpam-5843	120	28	peak	peak	NOUN
ejpam-5843	120	29	of	of	ADP
ejpam-5843	120	30	i(t	i(t	NOUN
ejpam-5843	120	31	)	)	PUNCT
ejpam-5843	120	32	.	.	PUNCT
ejpam-5843	121	1	as	as	SCONJ
ejpam-5843	121	2	the	the	DET
ejpam-5843	121	3	system	system	NOUN
ejpam-5843	121	4	approaches	approach	VERB
ejpam-5843	121	5	a	a	DET
ejpam-5843	121	6	steady	steady	ADJ
ejpam-5843	121	7	state	state	NOUN
ejpam-5843	121	8	,	,	PUNCT
ejpam-5843	121	9	the	the	DET
ejpam-5843	121	10	step	step	NOUN
ejpam-5843	121	11	size	size	NOUN
ejpam-5843	121	12	increases	increase	VERB
ejpam-5843	121	13	and	and	CCONJ
ejpam-5843	121	14	ensures	ensure	VERB
ejpam-5843	121	15	computational	computational	ADJ
ejpam-5843	121	16	efficiency	efficiency	NOUN
ejpam-5843	121	17	while	while	SCONJ
ejpam-5843	121	18	maintaining	maintain	VERB
ejpam-5843	121	19	accuracy	accuracy	NOUN
ejpam-5843	121	20	.	.	PUNCT
ejpam-5843	122	1	this	this	DET
ejpam-5843	122	2	stricter	strict	ADJ
ejpam-5843	122	3	tolerance	tolerance	NOUN
ejpam-5843	122	4	results	result	NOUN
ejpam-5843	122	5	in	in	ADP
ejpam-5843	122	6	finer	fine	ADJ
ejpam-5843	122	7	resolution	resolution	NOUN
ejpam-5843	122	8	and	and	CCONJ
ejpam-5843	122	9	more	more	ADV
ejpam-5843	122	10	accurate	accurate	ADJ
ejpam-5843	122	11	modeling	modeling	NOUN
ejpam-5843	122	12	of	of	ADP
ejpam-5843	122	13	the	the	DET
ejpam-5843	122	14	system	system	NOUN
ejpam-5843	122	15	dynamics	dynamic	NOUN
ejpam-5843	122	16	,	,	PUNCT
ejpam-5843	122	17	especially	especially	ADV
ejpam-5843	122	18	during	during	ADP
ejpam-5843	122	19	critical	critical	ADJ
ejpam-5843	122	20	transitions	transition	NOUN
ejpam-5843	122	21	.	.	PUNCT
ejpam-5843	123	1	in	in	ADP
ejpam-5843	123	2	this	this	DET
ejpam-5843	123	3	test	test	NOUN
ejpam-5843	123	4	,	,	PUNCT
ejpam-5843	123	5	using	use	VERB
ejpam-5843	123	6	a	a	DET
ejpam-5843	123	7	fully	fully	ADV
ejpam-5843	123	8	explicit	explicit	ADJ
ejpam-5843	123	9	euler	euler	NOUN
ejpam-5843	123	10	method	method	NOUN
ejpam-5843	123	11	results	result	NOUN
ejpam-5843	123	12	in	in	ADP
ejpam-5843	123	13	a	a	DET
ejpam-5843	123	14	cpu	cpu	NOUN
ejpam-5843	123	15	time	time	NOUN
ejpam-5843	123	16	that	that	PRON
ejpam-5843	123	17	is	be	AUX
ejpam-5843	123	18	double	double	ADJ
ejpam-5843	123	19	that	that	PRON
ejpam-5843	123	20	of	of	ADP
ejpam-5843	123	21	the	the	DET
ejpam-5843	123	22	adaptive	adaptive	ADJ
ejpam-5843	123	23	algorithm	algorithm	NOUN
ejpam-5843	123	24	.	.	PUNCT
ejpam-5843	124	1	the	the	DET
ejpam-5843	124	2	value	value	NOUN
ejpam-5843	124	3	of	of	ADP
ejpam-5843	124	4	tol	tol	NOUN
ejpam-5843	124	5	is	be	AUX
ejpam-5843	124	6	selected	select	VERB
ejpam-5843	124	7	based	base	VERB
ejpam-5843	124	8	on	on	ADP
ejpam-5843	124	9	the	the	DET
ejpam-5843	124	10	specific	specific	ADJ
ejpam-5843	124	11	needs	need	NOUN
ejpam-5843	124	12	and	and	CCONJ
ejpam-5843	124	13	objectives	objective	NOUN
ejpam-5843	124	14	of	of	ADP
ejpam-5843	124	15	the	the	DET
ejpam-5843	124	16	user	user	NOUN
ejpam-5843	124	17	and	and	CCONJ
ejpam-5843	124	18	is	be	AUX
ejpam-5843	124	19	carefully	carefully	ADV
ejpam-5843	124	20	determined	determine	VERB
ejpam-5843	124	21	according	accord	VERB
ejpam-5843	124	22	to	to	ADP
ejpam-5843	124	23	the	the	DET
ejpam-5843	124	24	scale	scale	NOUN
ejpam-5843	124	25	and	and	CCONJ
ejpam-5843	124	26	characteristics	characteristic	NOUN
ejpam-5843	124	27	of	of	ADP
ejpam-5843	124	28	the	the	DET
ejpam-5843	124	29	problem	problem	NOUN
ejpam-5843	124	30	under	under	ADP
ejpam-5843	124	31	consideration	consideration	NOUN
ejpam-5843	124	32	.	.	PUNCT
ejpam-5843	125	1	this	this	PRON
ejpam-5843	125	2	ensures	ensure	VERB
ejpam-5843	125	3	that	that	SCONJ
ejpam-5843	125	4	the	the	DET
ejpam-5843	125	5	chosen	choose	VERB
ejpam-5843	125	6	tolerance	tolerance	NOUN
ejpam-5843	125	7	value	value	NOUN
ejpam-5843	125	8	aligns	align	VERB
ejpam-5843	125	9	with	with	ADP
ejpam-5843	125	10	the	the	DET
ejpam-5843	125	11	desired	desire	VERB
ejpam-5843	125	12	level	level	NOUN
ejpam-5843	125	13	of	of	ADP
ejpam-5843	125	14	accuracy	accuracy	NOUN
ejpam-5843	125	15	and	and	CCONJ
ejpam-5843	125	16	the	the	DET
ejpam-5843	125	17	nature	nature	NOUN
ejpam-5843	125	18	of	of	ADP
ejpam-5843	125	19	the	the	DET
ejpam-5843	125	20	computational	computational	ADJ
ejpam-5843	125	21	model	model	NOUN
ejpam-5843	125	22	being	be	AUX
ejpam-5843	125	23	analyzed	analyze	VERB
ejpam-5843	125	24	.	.	PUNCT
ejpam-5843	126	1	j.	j.	PROPN
ejpam-5843	126	2	kim	kim	PROPN
ejpam-5843	126	3	/	/	SYM
ejpam-5843	126	4	eur	eur	PROPN
ejpam-5843	126	5	.	.	PUNCT
ejpam-5843	127	1	j.	j.	PROPN
ejpam-5843	127	2	pure	pure	PROPN
ejpam-5843	127	3	appl	appl	PROPN
ejpam-5843	127	4	.	.	PROPN
ejpam-5843	127	5	math	math	PROPN
ejpam-5843	127	6	,	,	PUNCT
ejpam-5843	127	7	18	18	NUM
ejpam-5843	127	8	(	(	PUNCT
ejpam-5843	127	9	1	1	NUM
ejpam-5843	127	10	)	)	PUNCT
ejpam-5843	127	11	(	(	PUNCT
ejpam-5843	127	12	2025	2025	NUM
ejpam-5843	127	13	)	)	PUNCT
ejpam-5843	127	14	,	,	PUNCT
ejpam-5843	127	15	5843	5843	NUM
ejpam-5843	127	16	7	7	NUM
ejpam-5843	127	17	of	of	ADP
ejpam-5843	127	18	10	10	NUM
ejpam-5843	127	19	(	(	PUNCT
ejpam-5843	127	20	a	a	NOUN
ejpam-5843	127	21	)	)	PUNCT
ejpam-5843	127	22	(	(	PUNCT
ejpam-5843	127	23	b	b	X
ejpam-5843	127	24	)	)	PUNCT
ejpam-5843	127	25	figure	figure	NOUN
ejpam-5843	127	26	3	3	NUM
ejpam-5843	127	27	:	:	PUNCT
ejpam-5843	127	28	(	(	PUNCT
ejpam-5843	127	29	a	a	X
ejpam-5843	127	30	)	)	PUNCT
ejpam-5843	127	31	computational	computational	ADJ
ejpam-5843	127	32	results	result	NOUN
ejpam-5843	127	33	for	for	ADP
ejpam-5843	127	34	s(t	s(t	PROPN
ejpam-5843	127	35	)	)	PUNCT
ejpam-5843	127	36	,	,	PUNCT
ejpam-5843	127	37	i(t	i(t	PROPN
ejpam-5843	127	38	)	)	PUNCT
ejpam-5843	127	39	,	,	PUNCT
ejpam-5843	127	40	and	and	CCONJ
ejpam-5843	127	41	r(t	r(t	NOUN
ejpam-5843	127	42	)	)	PUNCT
ejpam-5843	127	43	with	with	ADP
ejpam-5843	127	44	an	an	DET
ejpam-5843	127	45	adaptive	adaptive	ADJ
ejpam-5843	127	46	discrete	discrete	ADJ
ejpam-5843	127	47	time	time	NOUN
ejpam-5843	127	48	grid	grid	NOUN
ejpam-5843	127	49	(	(	PUNCT
ejpam-5843	127	50	red	red	ADJ
ejpam-5843	127	51	circles	circle	NOUN
ejpam-5843	127	52	)	)	PUNCT
ejpam-5843	127	53	.	.	PUNCT
ejpam-5843	128	1	(	(	PUNCT
ejpam-5843	128	2	b	b	X
ejpam-5843	128	3	)	)	PUNCT
ejpam-5843	128	4	the	the	DET
ejpam-5843	128	5	adaptive	adaptive	ADJ
ejpam-5843	128	6	discrete	discrete	ADJ
ejpam-5843	128	7	time	time	NOUN
ejpam-5843	128	8	grid	grid	NOUN
ejpam-5843	128	9	and	and	CCONJ
ejpam-5843	128	10	corresponding	corresponding	ADJ
ejpam-5843	128	11	time	time	NOUN
ejpam-5843	128	12	steps	step	NOUN
ejpam-5843	128	13	.	.	PUNCT
ejpam-5843	129	1	the	the	DET
ejpam-5843	129	2	parameters	parameter	NOUN
ejpam-5843	129	3	used	use	VERB
ejpam-5843	129	4	are	be	AUX
ejpam-5843	129	5	β	β	X
ejpam-5843	129	6	=	=	PUNCT
ejpam-5843	129	7	0.3	0.3	NUM
ejpam-5843	129	8	,	,	PUNCT
ejpam-5843	129	9	γ	γ	X
ejpam-5843	129	10	=	=	SYM
ejpam-5843	129	11	0.1	0.1	NUM
ejpam-5843	129	12	,	,	PUNCT
ejpam-5843	129	13	s0	s0	NOUN
ejpam-5843	129	14	=	=	SYM
ejpam-5843	129	15	0.99	0.99	NUM
ejpam-5843	129	16	,	,	PUNCT
ejpam-5843	129	17	i0	i0	PROPN
ejpam-5843	129	18	=	=	PROPN
ejpam-5843	129	19	0.01	0.01	NUM
ejpam-5843	129	20	,	,	PUNCT
ejpam-5843	129	21	r0	r0	NOUN
ejpam-5843	129	22	=	=	SYM
ejpam-5843	129	23	0	0	NUM
ejpam-5843	129	24	,	,	PUNCT
ejpam-5843	129	25	t	t	NOUN
ejpam-5843	129	26	=	=	SYM
ejpam-5843	129	27	120	120	NUM
ejpam-5843	129	28	,	,	PUNCT
ejpam-5843	129	29	tol	tol	NOUN
ejpam-5843	129	30	=	=	SYM
ejpam-5843	129	31	0.001	0.001	NUM
ejpam-5843	129	32	,	,	PUNCT
ejpam-5843	129	33	and	and	CCONJ
ejpam-5843	129	34	∆tmax	∆tmax	NOUN
ejpam-5843	129	35	=	=	SYM
ejpam-5843	129	36	3	3	NUM
ejpam-5843	129	37	.	.	NOUN
ejpam-5843	129	38	3.2	3.2	NUM
ejpam-5843	129	39	.	.	PUNCT
ejpam-5843	130	1	effect	effect	NOUN
ejpam-5843	130	2	of	of	ADP
ejpam-5843	130	3	the	the	DET
ejpam-5843	130	4	maximum	maximum	ADJ
ejpam-5843	130	5	step	step	NOUN
ejpam-5843	130	6	size	size	NOUN
ejpam-5843	130	7	,	,	PUNCT
ejpam-5843	130	8	∆tmax	∆tmax	NUM
ejpam-5843	130	9	next	next	ADV
ejpam-5843	130	10	,	,	PUNCT
ejpam-5843	130	11	we	we	PRON
ejpam-5843	130	12	investigate	investigate	VERB
ejpam-5843	130	13	the	the	DET
ejpam-5843	130	14	effect	effect	NOUN
ejpam-5843	130	15	of	of	ADP
ejpam-5843	130	16	the	the	DET
ejpam-5843	130	17	maximum	maximum	ADJ
ejpam-5843	130	18	step	step	NOUN
ejpam-5843	130	19	size	size	NOUN
ejpam-5843	130	20	,	,	PUNCT
ejpam-5843	130	21	∆tmax	∆tmax	NOUN
ejpam-5843	130	22	.	.	PUNCT
ejpam-5843	131	1	the	the	DET
ejpam-5843	131	2	parameters	parameter	NOUN
ejpam-5843	131	3	are	be	AUX
ejpam-5843	131	4	set	set	VERB
ejpam-5843	131	5	as	as	ADP
ejpam-5843	131	6	β	β	X
ejpam-5843	131	7	=	=	SYM
ejpam-5843	131	8	0.3	0.3	NUM
ejpam-5843	131	9	,	,	PUNCT
ejpam-5843	131	10	γ	γ	X
ejpam-5843	131	11	=	=	SYM
ejpam-5843	131	12	0.1	0.1	NUM
ejpam-5843	131	13	,	,	PUNCT
ejpam-5843	131	14	tol	tol	NOUN
ejpam-5843	131	15	=	=	NOUN
ejpam-5843	131	16	0.1	0.1	NUM
ejpam-5843	131	17	,	,	PUNCT
ejpam-5843	131	18	with	with	ADP
ejpam-5843	131	19	initial	initial	ADJ
ejpam-5843	131	20	conditions	condition	NOUN
ejpam-5843	131	21	s0	s0	NOUN
ejpam-5843	131	22	=	=	SYM
ejpam-5843	131	23	0.99	0.99	NUM
ejpam-5843	131	24	,	,	PUNCT
ejpam-5843	131	25	i0	i0	PROPN
ejpam-5843	131	26	=	=	PROPN
ejpam-5843	131	27	0.01	0.01	NUM
ejpam-5843	131	28	,	,	PUNCT
ejpam-5843	131	29	and	and	CCONJ
ejpam-5843	131	30	r0	r0	NOUN
ejpam-5843	131	31	=	=	NOUN
ejpam-5843	131	32	0	0	X
ejpam-5843	131	33	.	.	PUNCT
ejpam-5843	132	1	the	the	DET
ejpam-5843	132	2	computations	computation	NOUN
ejpam-5843	132	3	are	be	AUX
ejpam-5843	132	4	conducted	conduct	VERB
ejpam-5843	132	5	for	for	ADP
ejpam-5843	132	6	three	three	NUM
ejpam-5843	132	7	different	different	ADJ
ejpam-5843	132	8	values	value	NOUN
ejpam-5843	132	9	of	of	ADP
ejpam-5843	132	10	the	the	DET
ejpam-5843	132	11	maximum	maximum	ADJ
ejpam-5843	132	12	step	step	NOUN
ejpam-5843	132	13	size	size	NOUN
ejpam-5843	132	14	of	of	ADP
ejpam-5843	132	15	∆tmax	∆tmax	PROPN
ejpam-5843	132	16	.	.	PUNCT
ejpam-5843	133	1	figure	figure	NOUN
ejpam-5843	133	2	4(a	4(a	NUM
ejpam-5843	133	3	)	)	PUNCT
ejpam-5843	133	4	presents	present	VERB
ejpam-5843	133	5	the	the	DET
ejpam-5843	133	6	computational	computational	ADJ
ejpam-5843	133	7	results	result	NOUN
ejpam-5843	133	8	for	for	ADP
ejpam-5843	133	9	s(t	s(t	PROPN
ejpam-5843	133	10	)	)	PUNCT
ejpam-5843	133	11	,	,	PUNCT
ejpam-5843	133	12	i(t	i(t	PROPN
ejpam-5843	133	13	)	)	PUNCT
ejpam-5843	133	14	,	,	PUNCT
ejpam-5843	133	15	and	and	CCONJ
ejpam-5843	133	16	r(t	r(t	NOUN
ejpam-5843	133	17	)	)	PUNCT
ejpam-5843	133	18	under	under	ADP
ejpam-5843	133	19	three	three	NUM
ejpam-5843	133	20	different	different	ADJ
ejpam-5843	133	21	values	value	NOUN
ejpam-5843	133	22	of	of	ADP
ejpam-5843	133	23	the	the	DET
ejpam-5843	133	24	maximum	maximum	ADJ
ejpam-5843	133	25	step	step	NOUN
ejpam-5843	133	26	size	size	NOUN
ejpam-5843	133	27	,	,	PUNCT
ejpam-5843	133	28	∆tmax	∆tmax	PROPN
ejpam-5843	133	29	.	.	PUNCT
ejpam-5843	134	1	figure	figure	NOUN
ejpam-5843	134	2	4(b	4(b	NUM
ejpam-5843	134	3	)	)	PUNCT
ejpam-5843	134	4	illustrates	illustrate	VERB
ejpam-5843	134	5	the	the	DET
ejpam-5843	134	6	adaptive	adaptive	ADJ
ejpam-5843	134	7	discrete	discrete	ADJ
ejpam-5843	134	8	time	time	NOUN
ejpam-5843	134	9	steps	step	NOUN
ejpam-5843	134	10	corresponding	correspond	VERB
ejpam-5843	134	11	to	to	ADP
ejpam-5843	134	12	these	these	DET
ejpam-5843	134	13	three	three	NUM
ejpam-5843	134	14	values	value	NOUN
ejpam-5843	134	15	of	of	ADP
ejpam-5843	134	16	the	the	DET
ejpam-5843	134	17	maximum	maximum	ADJ
ejpam-5843	134	18	step	step	NOUN
ejpam-5843	134	19	size	size	NOUN
ejpam-5843	134	20	.	.	PUNCT
ejpam-5843	135	1	from	from	ADP
ejpam-5843	135	2	these	these	DET
ejpam-5843	135	3	results	result	NOUN
ejpam-5843	135	4	,	,	PUNCT
ejpam-5843	135	5	it	it	PRON
ejpam-5843	135	6	can	can	AUX
ejpam-5843	135	7	be	be	AUX
ejpam-5843	135	8	observed	observe	VERB
ejpam-5843	135	9	that	that	SCONJ
ejpam-5843	135	10	the	the	DET
ejpam-5843	135	11	numerical	numerical	ADJ
ejpam-5843	135	12	solution	solution	NOUN
ejpam-5843	135	13	becomes	become	VERB
ejpam-5843	135	14	less	less	ADV
ejpam-5843	135	15	accurate	accurate	ADJ
ejpam-5843	135	16	when	when	SCONJ
ejpam-5843	135	17	an	an	DET
ejpam-5843	135	18	excessively	excessively	ADV
ejpam-5843	135	19	large	large	ADJ
ejpam-5843	135	20	∆tmax	∆tmax	NUM
ejpam-5843	135	21	is	be	AUX
ejpam-5843	135	22	used	use	VERB
ejpam-5843	135	23	.	.	PUNCT
ejpam-5843	136	1	this	this	PRON
ejpam-5843	136	2	is	be	AUX
ejpam-5843	136	3	because	because	SCONJ
ejpam-5843	136	4	,	,	PUNCT
ejpam-5843	136	5	during	during	ADP
ejpam-5843	136	6	the	the	DET
ejpam-5843	136	7	initial	initial	ADJ
ejpam-5843	136	8	stages	stage	NOUN
ejpam-5843	136	9	when	when	SCONJ
ejpam-5843	136	10	the	the	DET
ejpam-5843	136	11	solution	solution	NOUN
ejpam-5843	136	12	is	be	AUX
ejpam-5843	136	13	smooth	smooth	ADJ
ejpam-5843	136	14	,	,	PUNCT
ejpam-5843	136	15	larger	large	ADJ
ejpam-5843	136	16	time	time	NOUN
ejpam-5843	136	17	steps	step	NOUN
ejpam-5843	136	18	are	be	AUX
ejpam-5843	136	19	used	use	VERB
ejpam-5843	136	20	,	,	PUNCT
ejpam-5843	136	21	which	which	PRON
ejpam-5843	136	22	leads	lead	VERB
ejpam-5843	136	23	to	to	ADP
ejpam-5843	136	24	significant	significant	ADJ
ejpam-5843	136	25	errors	error	NOUN
ejpam-5843	136	26	.	.	PUNCT
ejpam-5843	137	1	consequently	consequently	ADV
ejpam-5843	137	2	,	,	PUNCT
ejpam-5843	137	3	using	use	VERB
ejpam-5843	137	4	an	an	DET
ejpam-5843	137	5	excessively	excessively	ADV
ejpam-5843	137	6	large	large	ADJ
ejpam-5843	137	7	maximum	maximum	ADJ
ejpam-5843	137	8	time	time	NOUN
ejpam-5843	137	9	step	step	NOUN
ejpam-5843	137	10	is	be	AUX
ejpam-5843	137	11	not	not	PART
ejpam-5843	137	12	advisable	advisable	ADJ
ejpam-5843	137	13	.	.	PUNCT
ejpam-5843	138	1	4	4	X
ejpam-5843	138	2	.	.	X
ejpam-5843	138	3	conclusions	conclusion	NOUN
ejpam-5843	138	4	in	in	ADP
ejpam-5843	138	5	this	this	DET
ejpam-5843	138	6	study	study	NOUN
ejpam-5843	138	7	,	,	PUNCT
ejpam-5843	138	8	we	we	PRON
ejpam-5843	138	9	proposed	propose	VERB
ejpam-5843	138	10	an	an	DET
ejpam-5843	138	11	efficient	efficient	ADJ
ejpam-5843	138	12	adaptive	adaptive	ADJ
ejpam-5843	138	13	time	time	NOUN
ejpam-5843	138	14	-	-	PUNCT
ejpam-5843	138	15	stepping	step	VERB
ejpam-5843	138	16	method	method	NOUN
ejpam-5843	138	17	for	for	ADP
ejpam-5843	138	18	modeling	model	VERB
ejpam-5843	138	19	epidemic	epidemic	NOUN
ejpam-5843	138	20	dynamics	dynamic	NOUN
ejpam-5843	138	21	.	.	PUNCT
ejpam-5843	139	1	by	by	ADP
ejpam-5843	139	2	dynamically	dynamically	ADV
ejpam-5843	139	3	adjusting	adjust	VERB
ejpam-5843	139	4	the	the	DET
ejpam-5843	139	5	time	time	NOUN
ejpam-5843	139	6	step	step	NOUN
ejpam-5843	139	7	size	size	NOUN
ejpam-5843	139	8	based	base	VERB
ejpam-5843	139	9	on	on	ADP
ejpam-5843	139	10	the	the	DET
ejpam-5843	139	11	magnitude	magnitude	NOUN
ejpam-5843	139	12	of	of	ADP
ejpam-5843	139	13	changes	change	NOUN
ejpam-5843	139	14	in	in	ADP
ejpam-5843	139	15	population	population	NOUN
ejpam-5843	139	16	compartments	compartment	NOUN
ejpam-5843	139	17	,	,	PUNCT
ejpam-5843	139	18	the	the	DET
ejpam-5843	139	19	method	method	NOUN
ejpam-5843	139	20	achieved	achieve	VERB
ejpam-5843	139	21	both	both	PRON
ejpam-5843	139	22	high	high	ADJ
ejpam-5843	139	23	accuracy	accuracy	NOUN
ejpam-5843	139	24	and	and	CCONJ
ejpam-5843	139	25	computational	computational	ADJ
ejpam-5843	139	26	efficiency	efficiency	NOUN
ejpam-5843	139	27	.	.	PUNCT
ejpam-5843	140	1	numerical	numerical	ADJ
ejpam-5843	140	2	experiments	experiment	NOUN
ejpam-5843	140	3	demonstrated	demonstrate	VERB
ejpam-5843	140	4	the	the	DET
ejpam-5843	140	5	effectiveness	effectiveness	NOUN
ejpam-5843	140	6	of	of	ADP
ejpam-5843	140	7	the	the	DET
ejpam-5843	140	8	proposed	propose	VERB
ejpam-5843	140	9	approach	approach	NOUN
ejpam-5843	140	10	in	in	ADP
ejpam-5843	140	11	capturing	capture	VERB
ejpam-5843	140	12	the	the	DET
ejpam-5843	140	13	dynamics	dynamic	NOUN
ejpam-5843	140	14	of	of	ADP
ejpam-5843	140	15	susceptible	susceptible	ADJ
ejpam-5843	140	16	,	,	PUNCT
ejpam-5843	140	17	infected	infected	ADJ
ejpam-5843	140	18	,	,	PUNCT
ejpam-5843	140	19	and	and	CCONJ
ejpam-5843	140	20	recovered	recover	VERB
ejpam-5843	140	21	populations	population	NOUN
ejpam-5843	140	22	under	under	ADP
ejpam-5843	140	23	various	various	ADJ
ejpam-5843	140	24	tolerance	tolerance	NOUN
ejpam-5843	140	25	levels	level	NOUN
ejpam-5843	140	26	.	.	PUNCT
ejpam-5843	141	1	the	the	DET
ejpam-5843	141	2	results	result	NOUN
ejpam-5843	141	3	confirmed	confirm	VERB
ejpam-5843	141	4	that	that	SCONJ
ejpam-5843	141	5	the	the	DET
ejpam-5843	141	6	adaptive	adaptive	ADJ
ejpam-5843	141	7	method	method	NOUN
ejpam-5843	141	8	provides	provide	VERB
ejpam-5843	141	9	j.	j.	PROPN
ejpam-5843	141	10	kim	kim	PROPN
ejpam-5843	141	11	/	/	SYM
ejpam-5843	141	12	eur	eur	PROPN
ejpam-5843	141	13	.	.	PUNCT
ejpam-5843	142	1	j.	j.	PROPN
ejpam-5843	142	2	pure	pure	PROPN
ejpam-5843	142	3	appl	appl	PROPN
ejpam-5843	142	4	.	.	PROPN
ejpam-5843	142	5	math	math	PROPN
ejpam-5843	142	6	,	,	PUNCT
ejpam-5843	142	7	18	18	NUM
ejpam-5843	142	8	(	(	PUNCT
ejpam-5843	142	9	1	1	NUM
ejpam-5843	142	10	)	)	PUNCT
ejpam-5843	142	11	(	(	PUNCT
ejpam-5843	142	12	2025	2025	NUM
ejpam-5843	142	13	)	)	PUNCT
ejpam-5843	142	14	,	,	PUNCT
ejpam-5843	142	15	5843	5843	NUM
ejpam-5843	142	16	8	8	NUM
ejpam-5843	142	17	of	of	ADP
ejpam-5843	142	18	10	10	NUM
ejpam-5843	142	19	(	(	PUNCT
ejpam-5843	142	20	a	a	NOUN
ejpam-5843	142	21	)	)	PUNCT
ejpam-5843	142	22	(	(	PUNCT
ejpam-5843	142	23	b	b	X
ejpam-5843	142	24	)	)	PUNCT
ejpam-5843	142	25	figure	figure	NOUN
ejpam-5843	142	26	4	4	NUM
ejpam-5843	142	27	:	:	PUNCT
ejpam-5843	142	28	(	(	PUNCT
ejpam-5843	142	29	a	a	X
ejpam-5843	142	30	)	)	PUNCT
ejpam-5843	142	31	computational	computational	ADJ
ejpam-5843	142	32	results	result	NOUN
ejpam-5843	142	33	for	for	ADP
ejpam-5843	142	34	s(t	s(t	PROPN
ejpam-5843	142	35	)	)	PUNCT
ejpam-5843	142	36	,	,	PUNCT
ejpam-5843	142	37	i(t	i(t	PROPN
ejpam-5843	142	38	)	)	PUNCT
ejpam-5843	142	39	,	,	PUNCT
ejpam-5843	142	40	and	and	CCONJ
ejpam-5843	142	41	r(t	r(t	NOUN
ejpam-5843	142	42	)	)	PUNCT
ejpam-5843	142	43	for	for	ADP
ejpam-5843	142	44	three	three	NUM
ejpam-5843	142	45	different	different	ADJ
ejpam-5843	142	46	values	value	NOUN
ejpam-5843	142	47	of	of	ADP
ejpam-5843	142	48	the	the	DET
ejpam-5843	142	49	maximum	maximum	ADJ
ejpam-5843	142	50	step	step	NOUN
ejpam-5843	142	51	size	size	NOUN
ejpam-5843	142	52	of	of	ADP
ejpam-5843	142	53	∆tmax	∆tmax	PROPN
ejpam-5843	142	54	.	.	PUNCT
ejpam-5843	143	1	(	(	PUNCT
ejpam-5843	143	2	b	b	X
ejpam-5843	143	3	)	)	PUNCT
ejpam-5843	143	4	the	the	DET
ejpam-5843	143	5	adaptive	adaptive	ADJ
ejpam-5843	143	6	discrete	discrete	ADJ
ejpam-5843	143	7	time	time	NOUN
ejpam-5843	143	8	steps	step	NOUN
ejpam-5843	143	9	.	.	PUNCT
ejpam-5843	144	1	the	the	DET
ejpam-5843	144	2	parameters	parameter	NOUN
ejpam-5843	144	3	used	use	VERB
ejpam-5843	144	4	are	be	AUX
ejpam-5843	144	5	β	β	X
ejpam-5843	144	6	=	=	PUNCT
ejpam-5843	144	7	0.3	0.3	NUM
ejpam-5843	144	8	,	,	PUNCT
ejpam-5843	144	9	γ	γ	X
ejpam-5843	144	10	=	=	SYM
ejpam-5843	144	11	0.1	0.1	NUM
ejpam-5843	144	12	,	,	PUNCT
ejpam-5843	144	13	s0	s0	NOUN
ejpam-5843	144	14	=	=	SYM
ejpam-5843	144	15	0.99	0.99	NUM
ejpam-5843	144	16	,	,	PUNCT
ejpam-5843	144	17	i0	i0	PROPN
ejpam-5843	144	18	=	=	PROPN
ejpam-5843	144	19	0.01	0.01	NUM
ejpam-5843	144	20	,	,	PUNCT
ejpam-5843	144	21	r0	r0	NOUN
ejpam-5843	144	22	=	=	SYM
ejpam-5843	144	23	0	0	NUM
ejpam-5843	144	24	,	,	PUNCT
ejpam-5843	144	25	t	t	NOUN
ejpam-5843	144	26	=	=	SYM
ejpam-5843	144	27	120	120	NUM
ejpam-5843	144	28	,	,	PUNCT
ejpam-5843	144	29	and	and	CCONJ
ejpam-5843	144	30	tol	tol	NOUN
ejpam-5843	144	31	=	=	SYM
ejpam-5843	144	32	0.1	0.1	NUM
ejpam-5843	144	33	.	.	PUNCT
ejpam-5843	145	1	finer	fine	ADJ
ejpam-5843	145	2	resolution	resolution	NOUN
ejpam-5843	145	3	during	during	ADP
ejpam-5843	145	4	rapid	rapid	ADJ
ejpam-5843	145	5	transitions	transition	NOUN
ejpam-5843	145	6	,	,	PUNCT
ejpam-5843	145	7	such	such	ADJ
ejpam-5843	145	8	as	as	ADP
ejpam-5843	145	9	near	near	ADP
ejpam-5843	145	10	the	the	DET
ejpam-5843	145	11	infection	infection	NOUN
ejpam-5843	145	12	peak	peak	NOUN
ejpam-5843	145	13	,	,	PUNCT
ejpam-5843	145	14	and	and	CCONJ
ejpam-5843	145	15	optimizes	optimize	VERB
ejpam-5843	145	16	step	step	NOUN
ejpam-5843	145	17	sizes	size	NOUN
ejpam-5843	145	18	as	as	SCONJ
ejpam-5843	145	19	the	the	DET
ejpam-5843	145	20	system	system	NOUN
ejpam-5843	145	21	approaches	approach	VERB
ejpam-5843	145	22	equilibrium	equilibrium	NOUN
ejpam-5843	145	23	.	.	PUNCT
ejpam-5843	146	1	the	the	DET
ejpam-5843	146	2	proposed	propose	VERB
ejpam-5843	146	3	method	method	NOUN
ejpam-5843	146	4	is	be	AUX
ejpam-5843	146	5	straightforward	straightforward	ADJ
ejpam-5843	146	6	to	to	PART
ejpam-5843	146	7	implement	implement	VERB
ejpam-5843	146	8	and	and	CCONJ
ejpam-5843	146	9	eliminates	eliminate	VERB
ejpam-5843	146	10	the	the	DET
ejpam-5843	146	11	need	need	NOUN
ejpam-5843	146	12	for	for	ADP
ejpam-5843	146	13	repeated	repeat	VERB
ejpam-5843	146	14	recalculations	recalculation	NOUN
ejpam-5843	146	15	to	to	PART
ejpam-5843	146	16	satisfy	satisfy	VERB
ejpam-5843	146	17	tolerance	tolerance	NOUN
ejpam-5843	146	18	constraints	constraint	NOUN
ejpam-5843	146	19	,	,	PUNCT
ejpam-5843	146	20	making	make	VERB
ejpam-5843	146	21	it	it	PRON
ejpam-5843	146	22	highly	highly	ADV
ejpam-5843	146	23	efficient	efficient	ADJ
ejpam-5843	146	24	.	.	PUNCT
ejpam-5843	147	1	these	these	DET
ejpam-5843	147	2	advantages	advantage	NOUN
ejpam-5843	147	3	make	make	VERB
ejpam-5843	147	4	it	it	PRON
ejpam-5843	147	5	a	a	DET
ejpam-5843	147	6	promising	promising	ADJ
ejpam-5843	147	7	tool	tool	NOUN
ejpam-5843	147	8	for	for	ADP
ejpam-5843	147	9	a	a	DET
ejpam-5843	147	10	wide	wide	ADJ
ejpam-5843	147	11	range	range	NOUN
ejpam-5843	147	12	of	of	ADP
ejpam-5843	147	13	epidemic	epidemic	NOUN
ejpam-5843	147	14	models	model	NOUN
ejpam-5843	147	15	,	,	PUNCT
ejpam-5843	147	16	including	include	VERB
ejpam-5843	147	17	those	those	PRON
ejpam-5843	147	18	with	with	ADP
ejpam-5843	147	19	additional	additional	ADJ
ejpam-5843	147	20	compartments	compartment	NOUN
ejpam-5843	147	21	or	or	CCONJ
ejpam-5843	147	22	complex	complex	ADJ
ejpam-5843	147	23	dynamics	dynamic	NOUN
ejpam-5843	147	24	.	.	PUNCT
ejpam-5843	148	1	a	a	DET
ejpam-5843	148	2	limitation	limitation	NOUN
ejpam-5843	148	3	of	of	ADP
ejpam-5843	148	4	the	the	DET
ejpam-5843	148	5	proposed	propose	VERB
ejpam-5843	148	6	method	method	NOUN
ejpam-5843	148	7	lies	lie	VERB
ejpam-5843	148	8	in	in	ADP
ejpam-5843	148	9	its	its	PRON
ejpam-5843	148	10	reliance	reliance	NOUN
ejpam-5843	148	11	on	on	ADP
ejpam-5843	148	12	a	a	DET
ejpam-5843	148	13	first	first	ADJ
ejpam-5843	148	14	-	-	PUNCT
ejpam-5843	148	15	order	order	NOUN
ejpam-5843	148	16	scheme	scheme	NOUN
ejpam-5843	148	17	.	.	PUNCT
ejpam-5843	149	1	developing	develop	VERB
ejpam-5843	149	2	a	a	DET
ejpam-5843	149	3	second	second	ADJ
ejpam-5843	149	4	-	-	PUNCT
ejpam-5843	149	5	order	order	NOUN
ejpam-5843	149	6	scheme	scheme	NOUN
ejpam-5843	149	7	would	would	AUX
ejpam-5843	149	8	be	be	AUX
ejpam-5843	149	9	beneficial	beneficial	ADJ
ejpam-5843	149	10	to	to	PART
ejpam-5843	149	11	improve	improve	VERB
ejpam-5843	149	12	accuracy	accuracy	NOUN
ejpam-5843	149	13	,	,	PUNCT
ejpam-5843	149	14	although	although	SCONJ
ejpam-5843	149	15	it	it	PRON
ejpam-5843	149	16	poses	pose	VERB
ejpam-5843	149	17	significant	significant	ADJ
ejpam-5843	149	18	challenges	challenge	NOUN
ejpam-5843	149	19	.	.	PUNCT
ejpam-5843	150	1	for	for	ADP
ejpam-5843	150	2	future	future	ADJ
ejpam-5843	150	3	research	research	NOUN
ejpam-5843	150	4	,	,	PUNCT
ejpam-5843	150	5	the	the	DET
ejpam-5843	150	6	proposed	propose	VERB
ejpam-5843	150	7	method	method	NOUN
ejpam-5843	150	8	could	could	AUX
ejpam-5843	150	9	be	be	AUX
ejpam-5843	150	10	extended	extend	VERB
ejpam-5843	150	11	to	to	PART
ejpam-5843	150	12	solve	solve	VERB
ejpam-5843	150	13	partial	partial	ADJ
ejpam-5843	150	14	differential	differential	NOUN
ejpam-5843	150	15	equations	equation	NOUN
ejpam-5843	150	16	,	,	PUNCT
ejpam-5843	150	17	such	such	ADJ
ejpam-5843	150	18	as	as	ADP
ejpam-5843	150	19	the	the	DET
ejpam-5843	150	20	diffusion	diffusion	NOUN
ejpam-5843	150	21	equation	equation	NOUN
ejpam-5843	150	22	[	[	X
ejpam-5843	150	23	7	7	X
ejpam-5843	150	24	]	]	PUNCT
ejpam-5843	150	25	and	and	CCONJ
ejpam-5843	150	26	fractional	fractional	ADJ
ejpam-5843	150	27	models	model	NOUN
ejpam-5843	150	28	[	[	X
ejpam-5843	150	29	5	5	NUM
ejpam-5843	150	30	]	]	PUNCT
ejpam-5843	150	31	,	,	PUNCT
ejpam-5843	150	32	to	to	PART
ejpam-5843	150	33	broaden	broaden	VERB
ejpam-5843	150	34	its	its	PRON
ejpam-5843	150	35	applicability	applicability	NOUN
ejpam-5843	150	36	and	and	CCONJ
ejpam-5843	150	37	demonstrate	demonstrate	VERB
ejpam-5843	150	38	its	its	PRON
ejpam-5843	150	39	effectiveness	effectiveness	NOUN
ejpam-5843	150	40	in	in	ADP
ejpam-5843	150	41	solving	solve	VERB
ejpam-5843	150	42	more	more	ADJ
ejpam-5843	150	43	complex	complex	ADJ
ejpam-5843	150	44	problems	problem	NOUN
ejpam-5843	150	45	.	.	PUNCT
ejpam-5843	151	1	acknowledgements	acknowledgement	NOUN
ejpam-5843	151	2	this	this	DET
ejpam-5843	151	3	work	work	NOUN
ejpam-5843	151	4	was	be	AUX
ejpam-5843	151	5	supported	support	VERB
ejpam-5843	151	6	by	by	ADP
ejpam-5843	151	7	the	the	DET
ejpam-5843	151	8	national	national	PROPN
ejpam-5843	151	9	research	research	PROPN
ejpam-5843	151	10	foundation(nrf	foundation(nrf	PROPN
ejpam-5843	151	11	)	)	PUNCT
ejpam-5843	151	12	,	,	PUNCT
ejpam-5843	151	13	korea	korea	PROPN
ejpam-5843	151	14	,	,	PUNCT
ejpam-5843	151	15	under	under	ADP
ejpam-5843	151	16	project	project	NOUN
ejpam-5843	151	17	bk21	bk21	PROPN
ejpam-5843	151	18	four	four	NUM
ejpam-5843	151	19	.	.	PUNCT
ejpam-5843	152	1	i	i	PRON
ejpam-5843	152	2	sincerely	sincerely	ADV
ejpam-5843	152	3	thank	thank	VERB
ejpam-5843	152	4	the	the	DET
ejpam-5843	152	5	reviewers	reviewer	NOUN
ejpam-5843	152	6	for	for	ADP
ejpam-5843	152	7	their	their	PRON
ejpam-5843	152	8	valuable	valuable	ADJ
ejpam-5843	152	9	comments	comment	NOUN
ejpam-5843	152	10	and	and	CCONJ
ejpam-5843	152	11	j.	j.	PROPN
ejpam-5843	152	12	kim	kim	PROPN
ejpam-5843	152	13	/	/	SYM
ejpam-5843	152	14	eur	eur	PROPN
ejpam-5843	152	15	.	.	PUNCT
ejpam-5843	153	1	j.	j.	PROPN
ejpam-5843	153	2	pure	pure	PROPN
ejpam-5843	153	3	appl	appl	PROPN
ejpam-5843	153	4	.	.	PROPN
ejpam-5843	153	5	math	math	PROPN
ejpam-5843	153	6	,	,	PUNCT
ejpam-5843	153	7	18	18	NUM
ejpam-5843	153	8	(	(	PUNCT
ejpam-5843	153	9	1	1	NUM
ejpam-5843	153	10	)	)	PUNCT
ejpam-5843	153	11	(	(	PUNCT
ejpam-5843	153	12	2025	2025	NUM
ejpam-5843	153	13	)	)	PUNCT
ejpam-5843	153	14	,	,	PUNCT
ejpam-5843	153	15	5843	5843	NUM
ejpam-5843	153	16	9	9	NUM
ejpam-5843	153	17	of	of	ADP
ejpam-5843	153	18	10	10	NUM
ejpam-5843	153	19	constructive	constructive	ADJ
ejpam-5843	153	20	suggestions	suggestion	NOUN
ejpam-5843	153	21	,	,	PUNCT
ejpam-5843	153	22	which	which	PRON
ejpam-5843	153	23	have	have	AUX
ejpam-5843	153	24	significantly	significantly	ADV
ejpam-5843	153	25	contributed	contribute	VERB
ejpam-5843	153	26	to	to	ADP
ejpam-5843	153	27	improving	improve	VERB
ejpam-5843	153	28	the	the	DET
ejpam-5843	153	29	quality	quality	NOUN
ejpam-5843	153	30	and	and	CCONJ
ejpam-5843	153	31	clarity	clarity	NOUN
ejpam-5843	153	32	of	of	ADP
ejpam-5843	153	33	this	this	DET
ejpam-5843	153	34	manuscript	manuscript	NOUN
ejpam-5843	153	35	.	.	PUNCT
ejpam-5843	154	1	references	reference	NOUN
ejpam-5843	154	2	[	[	X
ejpam-5843	154	3	1	1	NUM
ejpam-5843	154	4	]	]	X
ejpam-5843	154	5	i.	i.	PROPN
ejpam-5843	154	6	cooper	cooper	PROPN
ejpam-5843	154	7	,	,	PUNCT
ejpam-5843	154	8	a.	a.	NOUN
ejpam-5843	154	9	mondal	mondal	PROPN
ejpam-5843	154	10	,	,	PUNCT
ejpam-5843	154	11	and	and	CCONJ
ejpam-5843	154	12	c.g	c.g	PROPN
ejpam-5843	154	13	.	.	NOUN
ejpam-5843	154	14	antonopoulos	antonopoulos	PROPN
ejpam-5843	154	15	.	.	PUNCT
ejpam-5843	155	1	a	a	DET
ejpam-5843	155	2	sir	sir	NOUN
ejpam-5843	155	3	model	model	NOUN
ejpam-5843	155	4	assumption	assumption	NOUN
ejpam-5843	155	5	for	for	ADP
ejpam-5843	155	6	the	the	DET
ejpam-5843	155	7	spread	spread	NOUN
ejpam-5843	155	8	of	of	ADP
ejpam-5843	155	9	covid-19	covid-19	PROPN
ejpam-5843	155	10	in	in	ADP
ejpam-5843	155	11	different	different	ADJ
ejpam-5843	155	12	communities	community	NOUN
ejpam-5843	155	13	.	.	PUNCT
ejpam-5843	156	1	chaos	chaos	NOUN
ejpam-5843	156	2	,	,	PUNCT
ejpam-5843	156	3	solitons	soliton	NOUN
ejpam-5843	156	4	and	and	CCONJ
ejpam-5843	156	5	fractals	fractal	NOUN
ejpam-5843	156	6	,	,	PUNCT
ejpam-5843	156	7	139:110057	139:110057	NUM
ejpam-5843	156	8	,	,	PUNCT
ejpam-5843	156	9	2020	2020	NUM
ejpam-5843	156	10	.	.	PUNCT
ejpam-5843	157	1	[	[	X
ejpam-5843	157	2	2	2	NUM
ejpam-5843	157	3	]	]	PUNCT
ejpam-5843	157	4	a.	a.	NOUN
ejpam-5843	157	5	gómez	gómez	NOUN
ejpam-5843	157	6	-	-	PUNCT
ejpam-5843	157	7	corral	corral	NOUN
ejpam-5843	157	8	,	,	PUNCT
ejpam-5843	157	9	f.	f.	PROPN
ejpam-5843	157	10	palacios	palacios	PROPN
ejpam-5843	157	11	-	-	PUNCT
ejpam-5843	157	12	rodŕıguez	rodŕıguez	PROPN
ejpam-5843	157	13	,	,	PUNCT
ejpam-5843	157	14	and	and	CCONJ
ejpam-5843	157	15	m.t	m.t	PROPN
ejpam-5843	157	16	.	.	PROPN
ejpam-5843	157	17	rodŕıguez	rodŕıguez	PROPN
ejpam-5843	157	18	-	-	PUNCT
ejpam-5843	157	19	bernal	bernal	PROPN
ejpam-5843	157	20	.	.	PUNCT
ejpam-5843	158	1	on	on	ADP
ejpam-5843	158	2	the	the	DET
ejpam-5843	158	3	exact	exact	ADJ
ejpam-5843	158	4	reproduction	reproduction	NOUN
ejpam-5843	158	5	number	number	NOUN
ejpam-5843	158	6	in	in	ADP
ejpam-5843	158	7	sis	sis	NOUN
ejpam-5843	158	8	epidemic	epidemic	NOUN
ejpam-5843	158	9	models	model	NOUN
ejpam-5843	158	10	with	with	ADP
ejpam-5843	158	11	vertical	vertical	ADJ
ejpam-5843	158	12	transmission	transmission	NOUN
ejpam-5843	158	13	.	.	PUNCT
ejpam-5843	159	1	computational	computational	ADJ
ejpam-5843	159	2	and	and	CCONJ
ejpam-5843	159	3	applied	applied	ADJ
ejpam-5843	159	4	mathematics	mathematic	NOUN
ejpam-5843	159	5	,	,	PUNCT
ejpam-5843	159	6	42:291	42:291	NUM
ejpam-5843	159	7	,	,	PUNCT
ejpam-5843	159	8	2023	2023	NUM
ejpam-5843	159	9	.	.	PUNCT
ejpam-5843	160	1	[	[	X
ejpam-5843	160	2	3	3	X
ejpam-5843	160	3	]	]	X
ejpam-5843	160	4	y.	y.	PROPN
ejpam-5843	160	5	hwang	hwang	PROPN
ejpam-5843	160	6	,	,	PUNCT
ejpam-5843	160	7	s.	s.	PROPN
ejpam-5843	160	8	kwak	kwak	PROPN
ejpam-5843	160	9	,	,	PUNCT
ejpam-5843	160	10	and	and	CCONJ
ejpam-5843	160	11	j.	j.	PROPN
ejpam-5843	160	12	kim	kim	PROPN
ejpam-5843	160	13	.	.	PUNCT
ejpam-5843	161	1	long	long	ADJ
ejpam-5843	161	2	-	-	PUNCT
ejpam-5843	161	3	time	time	NOUN
ejpam-5843	161	4	analysis	analysis	NOUN
ejpam-5843	161	5	of	of	ADP
ejpam-5843	161	6	a	a	DET
ejpam-5843	161	7	time	time	NOUN
ejpam-5843	161	8	-	-	PUNCT
ejpam-5843	161	9	dependent	dependent	ADJ
ejpam-5843	161	10	suc	suc	ADJ
ejpam-5843	161	11	epidemic	epidemic	NOUN
ejpam-5843	161	12	model	model	NOUN
ejpam-5843	161	13	for	for	ADP
ejpam-5843	161	14	the	the	DET
ejpam-5843	161	15	covid-19	covid-19	PROPN
ejpam-5843	161	16	pandemic	pandemic	NOUN
ejpam-5843	161	17	.	.	PUNCT
ejpam-5843	162	1	journal	journal	PROPN
ejpam-5843	162	2	of	of	ADP
ejpam-5843	162	3	healthcare	healthcare	PROPN
ejpam-5843	162	4	engineering	engineering	PROPN
ejpam-5843	162	5	,	,	PUNCT
ejpam-5843	162	6	2021:5877217	2021:5877217	NUM
ejpam-5843	162	7	,	,	PUNCT
ejpam-5843	162	8	2021	2021	NUM
ejpam-5843	162	9	.	.	PUNCT
ejpam-5843	163	1	[	[	X
ejpam-5843	163	2	4	4	NUM
ejpam-5843	163	3	]	]	X
ejpam-5843	163	4	f.z	f.z	PROPN
ejpam-5843	163	5	.	.	PROPN
ejpam-5843	163	6	jaouimaa	jaouimaa	PROPN
ejpam-5843	163	7	,	,	PUNCT
ejpam-5843	163	8	d.	d.	PROPN
ejpam-5843	163	9	dempsey	dempsey	PROPN
ejpam-5843	163	10	,	,	PUNCT
ejpam-5843	163	11	s.	s.	PROPN
ejpam-5843	163	12	van	van	PROPN
ejpam-5843	163	13	osch	osch	PROPN
ejpam-5843	163	14	,	,	PUNCT
ejpam-5843	163	15	s.	s.	PROPN
ejpam-5843	163	16	kinsella	kinsella	PROPN
ejpam-5843	163	17	,	,	PUNCT
ejpam-5843	163	18	k.	k.	PROPN
ejpam-5843	163	19	burke	burke	PROPN
ejpam-5843	163	20	,	,	PUNCT
ejpam-5843	163	21	j.	j.	PROPN
ejpam-5843	163	22	wyse	wyse	PROPN
ejpam-5843	163	23	,	,	PUNCT
ejpam-5843	163	24	and	and	CCONJ
ejpam-5843	163	25	j.	j.	PROPN
ejpam-5843	163	26	sweeney	sweeney	PROPN
ejpam-5843	163	27	.	.	PUNCT
ejpam-5843	164	1	an	an	DET
ejpam-5843	164	2	age	age	NOUN
ejpam-5843	164	3	-	-	PUNCT
ejpam-5843	164	4	structured	structure	VERB
ejpam-5843	164	5	seir	seir	NOUN
ejpam-5843	164	6	model	model	NOUN
ejpam-5843	164	7	for	for	ADP
ejpam-5843	164	8	covid-19	covid-19	PROPN
ejpam-5843	164	9	incidence	incidence	NOUN
ejpam-5843	164	10	in	in	ADP
ejpam-5843	164	11	dublin	dublin	PROPN
ejpam-5843	164	12	,	,	PUNCT
ejpam-5843	164	13	ireland	ireland	PROPN
ejpam-5843	164	14	with	with	ADP
ejpam-5843	164	15	framework	framework	NOUN
ejpam-5843	164	16	for	for	ADP
ejpam-5843	164	17	evaluating	evaluate	VERB
ejpam-5843	164	18	health	health	NOUN
ejpam-5843	164	19	intervention	intervention	NOUN
ejpam-5843	164	20	cost	cost	NOUN
ejpam-5843	164	21	.	.	PUNCT
ejpam-5843	165	1	plos	plos	PROPN
ejpam-5843	165	2	one	one	NUM
ejpam-5843	165	3	,	,	PUNCT
ejpam-5843	165	4	16(12):e0260632	16(12):e0260632	NUM
ejpam-5843	165	5	,	,	PUNCT
ejpam-5843	165	6	2021	2021	NUM
ejpam-5843	165	7	.	.	PUNCT
ejpam-5843	166	1	[	[	X
ejpam-5843	166	2	5	5	NUM
ejpam-5843	166	3	]	]	PUNCT
ejpam-5843	166	4	m.	m.	NOUN
ejpam-5843	166	5	khader	khader	PROPN
ejpam-5843	166	6	.	.	PUNCT
ejpam-5843	167	1	using	use	VERB
ejpam-5843	167	2	modified	modify	VERB
ejpam-5843	167	3	fractional	fractional	ADJ
ejpam-5843	167	4	euler	euler	NOUN
ejpam-5843	167	5	formula	formula	NOUN
ejpam-5843	167	6	for	for	ADP
ejpam-5843	167	7	solving	solve	VERB
ejpam-5843	167	8	the	the	DET
ejpam-5843	167	9	fractional	fractional	ADJ
ejpam-5843	167	10	smoking	smoking	NOUN
ejpam-5843	167	11	model	model	NOUN
ejpam-5843	167	12	.	.	PUNCT
ejpam-5843	168	1	european	european	PROPN
ejpam-5843	168	2	journal	journal	PROPN
ejpam-5843	168	3	of	of	ADP
ejpam-5843	168	4	pure	pure	ADJ
ejpam-5843	168	5	and	and	CCONJ
ejpam-5843	168	6	applied	applied	ADJ
ejpam-5843	168	7	mathematics	mathematic	NOUN
ejpam-5843	168	8	,	,	PUNCT
ejpam-5843	168	9	17(4):2676	17(4):2676	NUM
ejpam-5843	168	10	–	–	PUNCT
ejpam-5843	168	11	2691	2691	NUM
ejpam-5843	168	12	,	,	PUNCT
ejpam-5843	168	13	2024	2024	NUM
ejpam-5843	168	14	.	.	PUNCT
ejpam-5843	169	1	[	[	X
ejpam-5843	169	2	6	6	NUM
ejpam-5843	169	3	]	]	X
ejpam-5843	169	4	h.	h.	PROPN
ejpam-5843	169	5	kim	kim	PROPN
ejpam-5843	169	6	,	,	PUNCT
ejpam-5843	169	7	s.	s.	PROPN
ejpam-5843	169	8	kwak	kwak	PROPN
ejpam-5843	169	9	,	,	PUNCT
ejpam-5843	169	10	m.	m.	PROPN
ejpam-5843	169	11	mohammed	mohammed	PROPN
ejpam-5843	169	12	,	,	PUNCT
ejpam-5843	169	13	s.	s.	PROPN
ejpam-5843	169	14	kang	kang	PROPN
ejpam-5843	169	15	,	,	PUNCT
ejpam-5843	169	16	s.	s.	PROPN
ejpam-5843	169	17	ham	ham	PROPN
ejpam-5843	169	18	,	,	PUNCT
ejpam-5843	169	19	and	and	CCONJ
ejpam-5843	169	20	j.	j.	PROPN
ejpam-5843	169	21	kim	kim	PROPN
ejpam-5843	169	22	.	.	PUNCT
ejpam-5843	170	1	an	an	DET
ejpam-5843	170	2	efficient	efficient	ADJ
ejpam-5843	170	3	and	and	CCONJ
ejpam-5843	170	4	accurate	accurate	ADJ
ejpam-5843	170	5	adaptive	adaptive	ADJ
ejpam-5843	170	6	time	time	NOUN
ejpam-5843	170	7	-	-	PUNCT
ejpam-5843	170	8	stepping	step	VERB
ejpam-5843	170	9	method	method	NOUN
ejpam-5843	170	10	for	for	ADP
ejpam-5843	170	11	the	the	DET
ejpam-5843	170	12	landau	landau	NOUN
ejpam-5843	170	13	–	–	PUNCT
ejpam-5843	170	14	lifshitz	lifshitz	NOUN
ejpam-5843	170	15	equation	equation	NOUN
ejpam-5843	170	16	.	.	PUNCT
ejpam-5843	171	1	algorithms	algorithm	NOUN
ejpam-5843	171	2	,	,	PUNCT
ejpam-5843	171	3	18(1):1	18(1):1	PROPN
ejpam-5843	171	4	,	,	PUNCT
ejpam-5843	171	5	2025	2025	NUM
ejpam-5843	171	6	.	.	PUNCT
ejpam-5843	172	1	[	[	X
ejpam-5843	172	2	7	7	X
ejpam-5843	172	3	]	]	PUNCT
ejpam-5843	172	4	j.	j.	PROPN
ejpam-5843	172	5	kim	kim	PROPN
ejpam-5843	172	6	,	,	PUNCT
ejpam-5843	172	7	s.	s.	PROPN
ejpam-5843	172	8	kwak	kwak	PROPN
ejpam-5843	172	9	,	,	PUNCT
ejpam-5843	172	10	h.	h.	PROPN
ejpam-5843	172	11	g.	g.	PROPN
ejpam-5843	172	12	lee	lee	PROPN
ejpam-5843	172	13	,	,	PUNCT
ejpam-5843	172	14	y.	y.	PROPN
ejpam-5843	172	15	hwang	hwang	PROPN
ejpam-5843	172	16	,	,	PUNCT
ejpam-5843	172	17	and	and	CCONJ
ejpam-5843	172	18	s.	s.	PROPN
ejpam-5843	172	19	ham	ham	PROPN
ejpam-5843	172	20	.	.	PUNCT
ejpam-5843	173	1	a	a	DET
ejpam-5843	173	2	maximum	maximum	ADJ
ejpam-5843	173	3	principle	principle	NOUN
ejpam-5843	173	4	of	of	ADP
ejpam-5843	173	5	the	the	DET
ejpam-5843	173	6	fourier	fourier	ADJ
ejpam-5843	173	7	spectral	spectral	ADJ
ejpam-5843	173	8	method	method	NOUN
ejpam-5843	173	9	for	for	ADP
ejpam-5843	173	10	diffusion	diffusion	NOUN
ejpam-5843	173	11	equations	equation	NOUN
ejpam-5843	173	12	.	.	PUNCT
ejpam-5843	174	1	electronic	electronic	ADJ
ejpam-5843	174	2	research	research	NOUN
ejpam-5843	174	3	archive	archive	NOUN
ejpam-5843	174	4	,	,	PUNCT
ejpam-5843	174	5	31(9):5396–5405	31(9):5396–5405	PROPN
ejpam-5843	174	6	,	,	PUNCT
ejpam-5843	174	7	2023	2023	NUM
ejpam-5843	174	8	.	.	PUNCT
ejpam-5843	175	1	[	[	X
ejpam-5843	175	2	8	8	NUM
ejpam-5843	175	3	]	]	PUNCT
ejpam-5843	175	4	s.	s.	PROPN
ejpam-5843	175	5	kwak	kwak	PROPN
ejpam-5843	175	6	,	,	PUNCT
ejpam-5843	175	7	s.	s.	PROPN
ejpam-5843	175	8	kang	kang	PROPN
ejpam-5843	175	9	,	,	PUNCT
ejpam-5843	175	10	s.	s.	PROPN
ejpam-5843	175	11	ham	ham	PROPN
ejpam-5843	175	12	,	,	PUNCT
ejpam-5843	175	13	y.	y.	PROPN
ejpam-5843	175	14	hwang	hwang	PROPN
ejpam-5843	175	15	,	,	PUNCT
ejpam-5843	175	16	g.	g.	PROPN
ejpam-5843	175	17	lee	lee	PROPN
ejpam-5843	175	18	,	,	PUNCT
ejpam-5843	175	19	and	and	CCONJ
ejpam-5843	175	20	j.	j.	PROPN
ejpam-5843	175	21	kim	kim	PROPN
ejpam-5843	175	22	.	.	PUNCT
ejpam-5843	176	1	an	an	DET
ejpam-5843	176	2	unconditionally	unconditionally	ADV
ejpam-5843	176	3	stable	stable	ADJ
ejpam-5843	176	4	difference	difference	NOUN
ejpam-5843	176	5	scheme	scheme	NOUN
ejpam-5843	176	6	for	for	ADP
ejpam-5843	176	7	the	the	DET
ejpam-5843	176	8	two	two	NUM
ejpam-5843	176	9	-	-	PUNCT
ejpam-5843	176	10	dimensional	dimensional	ADJ
ejpam-5843	176	11	modified	modified	ADJ
ejpam-5843	176	12	fisher	fisher	NOUN
ejpam-5843	176	13	–	–	PUNCT
ejpam-5843	176	14	kolmogorov	kolmogorov	ADJ
ejpam-5843	176	15	–	–	PUNCT
ejpam-5843	176	16	petrovsky	petrovsky	ADV
ejpam-5843	176	17	–	–	PUNCT
ejpam-5843	176	18	piscounov	piscounov	NOUN
ejpam-5843	176	19	equation	equation	NOUN
ejpam-5843	176	20	.	.	PUNCT
ejpam-5843	177	1	journal	journal	PROPN
ejpam-5843	177	2	of	of	ADP
ejpam-5843	177	3	mathematics	mathematic	NOUN
ejpam-5843	177	4	,	,	PUNCT
ejpam-5843	177	5	2023	2023	NUM
ejpam-5843	177	6	:	:	PUNCT
ejpam-5843	177	7	article	article	NOUN
ejpam-5843	177	8	i	i	PROPN
ejpam-5843	177	9	d	d	PROPN
ejpam-5843	177	10	5527728	5527728	NUM
ejpam-5843	177	11	,	,	PUNCT
ejpam-5843	177	12	2023	2023	NUM
ejpam-5843	177	13	.	.	PUNCT
ejpam-5843	178	1	[	[	X
ejpam-5843	178	2	9	9	NUM
ejpam-5843	178	3	]	]	X
ejpam-5843	178	4	c.	c.	PROPN
ejpam-5843	178	5	lee	lee	PROPN
ejpam-5843	178	6	,	,	PUNCT
ejpam-5843	178	7	j.	j.	PROPN
ejpam-5843	178	8	park	park	PROPN
ejpam-5843	178	9	,	,	PUNCT
ejpam-5843	178	10	s.	s.	PROPN
ejpam-5843	178	11	kwak	kwak	PROPN
ejpam-5843	178	12	,	,	PUNCT
ejpam-5843	178	13	s.	s.	PROPN
ejpam-5843	178	14	kim	kim	PROPN
ejpam-5843	178	15	,	,	PUNCT
ejpam-5843	178	16	y.	y.	PROPN
ejpam-5843	178	17	choi	choi	PROPN
ejpam-5843	178	18	,	,	PUNCT
ejpam-5843	178	19	s.	s.	PROPN
ejpam-5843	178	20	ham	ham	PROPN
ejpam-5843	178	21	,	,	PUNCT
ejpam-5843	178	22	and	and	CCONJ
ejpam-5843	178	23	j.	j.	PROPN
ejpam-5843	178	24	kim	kim	PROPN
ejpam-5843	178	25	.	.	PUNCT
ejpam-5843	179	1	an	an	DET
ejpam-5843	179	2	adaptive	adaptive	ADJ
ejpam-5843	179	3	time	time	NOUN
ejpam-5843	179	4	-	-	PUNCT
ejpam-5843	179	5	stepping	step	VERB
ejpam-5843	179	6	algorithm	algorithm	NOUN
ejpam-5843	179	7	for	for	ADP
ejpam-5843	179	8	the	the	DET
ejpam-5843	179	9	allen	allen	ADJ
ejpam-5843	179	10	–	–	PUNCT
ejpam-5843	179	11	cahn	cahn	NOUN
ejpam-5843	179	12	equation	equation	NOUN
ejpam-5843	179	13	.	.	PUNCT
ejpam-5843	180	1	journal	journal	PROPN
ejpam-5843	180	2	of	of	ADP
ejpam-5843	180	3	function	function	NOUN
ejpam-5843	180	4	spaces	space	NOUN
ejpam-5843	180	5	,	,	PUNCT
ejpam-5843	180	6	2022	2022	NUM
ejpam-5843	180	7	:	:	PUNCT
ejpam-5843	180	8	article	article	NOUN
ejpam-5843	180	9	i	i	PROPN
ejpam-5843	180	10	d	d	PROPN
ejpam-5843	180	11	2731593	2731593	NUM
ejpam-5843	180	12	,	,	PUNCT
ejpam-5843	180	13	2022	2022	NUM
ejpam-5843	180	14	.	.	PUNCT
ejpam-5843	181	1	[	[	X
ejpam-5843	181	2	10	10	NUM
ejpam-5843	181	3	]	]	X
ejpam-5843	181	4	q.	q.	PROPN
ejpam-5843	181	5	liu	liu	PROPN
ejpam-5843	181	6	and	and	CCONJ
ejpam-5843	181	7	d.	d.	PROPN
ejpam-5843	181	8	jiang	jiang	PROPN
ejpam-5843	181	9	.	.	PUNCT
ejpam-5843	182	1	stationary	stationary	ADJ
ejpam-5843	182	2	distribution	distribution	NOUN
ejpam-5843	182	3	and	and	CCONJ
ejpam-5843	182	4	probability	probability	NOUN
ejpam-5843	182	5	density	density	NOUN
ejpam-5843	182	6	for	for	ADP
ejpam-5843	182	7	a	a	DET
ejpam-5843	182	8	stochastic	stochastic	ADJ
ejpam-5843	182	9	seir	seir	ADJ
ejpam-5843	182	10	-	-	PUNCT
ejpam-5843	182	11	type	type	NOUN
ejpam-5843	182	12	model	model	NOUN
ejpam-5843	182	13	of	of	ADP
ejpam-5843	182	14	coronavirus	coronavirus	NOUN
ejpam-5843	182	15	(	(	PUNCT
ejpam-5843	182	16	covid-19	covid-19	PROPN
ejpam-5843	182	17	)	)	PUNCT
ejpam-5843	182	18	with	with	ADP
ejpam-5843	182	19	asymptomatic	asymptomatic	ADJ
ejpam-5843	182	20	carriers	carrier	NOUN
ejpam-5843	182	21	.	.	PUNCT
ejpam-5843	183	1	chaos	chaos	NOUN
ejpam-5843	183	2	,	,	PUNCT
ejpam-5843	183	3	solitons	soliton	NOUN
ejpam-5843	183	4	and	and	CCONJ
ejpam-5843	183	5	fractals	fractal	NOUN
ejpam-5843	183	6	,	,	PUNCT
ejpam-5843	183	7	169:113256	169:113256	NUM
ejpam-5843	183	8	,	,	PUNCT
ejpam-5843	183	9	2023	2023	NUM
ejpam-5843	183	10	.	.	PUNCT
ejpam-5843	184	1	[	[	X
ejpam-5843	184	2	11	11	NUM
ejpam-5843	184	3	]	]	X
ejpam-5843	184	4	f.	f.	PROPN
ejpam-5843	184	5	nill	nill	PROPN
ejpam-5843	184	6	.	.	PUNCT
ejpam-5843	185	1	endemic	endemic	ADJ
ejpam-5843	185	2	oscillations	oscillation	NOUN
ejpam-5843	185	3	for	for	ADP
ejpam-5843	185	4	sars	sar	NOUN
ejpam-5843	185	5	-	-	PUNCT
ejpam-5843	185	6	cov-2	cov-2	NOUN
ejpam-5843	185	7	omicron	omicron	NOUN
ejpam-5843	185	8	—	—	PUNCT
ejpam-5843	185	9	a	a	DET
ejpam-5843	185	10	sirs	sir	NOUN
ejpam-5843	185	11	model	model	NOUN
ejpam-5843	185	12	analysis	analysis	NOUN
ejpam-5843	185	13	.	.	PUNCT
ejpam-5843	186	1	chaos	chaos	NOUN
ejpam-5843	186	2	,	,	PUNCT
ejpam-5843	186	3	solitons	soliton	NOUN
ejpam-5843	186	4	and	and	CCONJ
ejpam-5843	186	5	fractals	fractal	NOUN
ejpam-5843	186	6	,	,	PUNCT
ejpam-5843	186	7	173:113678	173:113678	NUM
ejpam-5843	186	8	,	,	PUNCT
ejpam-5843	186	9	2023	2023	NUM
ejpam-5843	186	10	.	.	PUNCT
ejpam-5843	187	1	[	[	X
ejpam-5843	187	2	12	12	NUM
ejpam-5843	187	3	]	]	PUNCT
ejpam-5843	187	4	m.	m.	NOUN
ejpam-5843	187	5	pájaro	pájaro	PROPN
ejpam-5843	187	6	,	,	PUNCT
ejpam-5843	187	7	n.m	n.m	PROPN
ejpam-5843	187	8	.	.	PROPN
ejpam-5843	187	9	fajar	fajar	PROPN
ejpam-5843	187	10	,	,	PUNCT
ejpam-5843	187	11	a.a	a.a	PROPN
ejpam-5843	187	12	.	.	PROPN
ejpam-5843	187	13	alonso	alonso	PROPN
ejpam-5843	187	14	,	,	PUNCT
ejpam-5843	187	15	and	and	CCONJ
ejpam-5843	187	16	i.	i.	PROPN
ejpam-5843	187	17	otero	otero	PROPN
ejpam-5843	187	18	-	-	PUNCT
ejpam-5843	187	19	muras	muras	PROPN
ejpam-5843	187	20	.	.	PUNCT
ejpam-5843	188	1	stochastic	stochastic	ADJ
ejpam-5843	188	2	sir	sir	NOUN
ejpam-5843	188	3	model	model	NOUN
ejpam-5843	188	4	predicts	predict	VERB
ejpam-5843	188	5	the	the	DET
ejpam-5843	188	6	evolution	evolution	NOUN
ejpam-5843	188	7	of	of	ADP
ejpam-5843	188	8	covid-19	covid-19	PROPN
ejpam-5843	188	9	epidemics	epidemic	NOUN
ejpam-5843	188	10	from	from	ADP
ejpam-5843	188	11	public	public	ADJ
ejpam-5843	188	12	health	health	NOUN
ejpam-5843	188	13	and	and	CCONJ
ejpam-5843	188	14	wastewater	wastewater	NOUN
ejpam-5843	188	15	data	datum	NOUN
ejpam-5843	188	16	in	in	ADP
ejpam-5843	188	17	small	small	ADJ
ejpam-5843	188	18	and	and	CCONJ
ejpam-5843	188	19	medium	medium	ADJ
ejpam-5843	188	20	-	-	PUNCT
ejpam-5843	188	21	sized	sized	ADJ
ejpam-5843	188	22	municipalities	municipality	NOUN
ejpam-5843	188	23	:	:	PUNCT
ejpam-5843	188	24	a	a	DET
ejpam-5843	188	25	one	one	NUM
ejpam-5843	188	26	year	year	NOUN
ejpam-5843	188	27	study	study	NOUN
ejpam-5843	188	28	.	.	PUNCT
ejpam-5843	189	1	chaos	chaos	NOUN
ejpam-5843	189	2	,	,	PUNCT
ejpam-5843	189	3	solitons	soliton	NOUN
ejpam-5843	189	4	and	and	CCONJ
ejpam-5843	189	5	fractals	fractal	NOUN
ejpam-5843	189	6	,	,	PUNCT
ejpam-5843	189	7	164:112671	164:112671	NUM
ejpam-5843	189	8	,	,	PUNCT
ejpam-5843	189	9	2022	2022	NUM
ejpam-5843	189	10	.	.	PUNCT
ejpam-5843	190	1	[	[	X
ejpam-5843	190	2	13	13	NUM
ejpam-5843	190	3	]	]	SYM
ejpam-5843	190	4	c.m	c.m	PROPN
ejpam-5843	190	5	.	.	PROPN
ejpam-5843	190	6	pinto	pinto	PROPN
ejpam-5843	190	7	,	,	PUNCT
ejpam-5843	190	8	j.a	j.a	PROPN
ejpam-5843	190	9	.	.	PROPN
ejpam-5843	190	10	tenreiro	tenreiro	PROPN
ejpam-5843	190	11	machado	machado	PROPN
ejpam-5843	190	12	,	,	PUNCT
ejpam-5843	190	13	and	and	CCONJ
ejpam-5843	190	14	c.	c.	PROPN
ejpam-5843	190	15	burgos	burgos	PROPN
ejpam-5843	190	16	-	-	PROPN
ejpam-5843	190	17	simón	simón	PROPN
ejpam-5843	190	18	.	.	PUNCT
ejpam-5843	191	1	modified	modify	VERB
ejpam-5843	191	2	siqr	siqr	PROPN
ejpam-5843	191	3	model	model	NOUN
ejpam-5843	191	4	for	for	ADP
ejpam-5843	191	5	j.	j.	PROPN
ejpam-5843	191	6	kim	kim	PROPN
ejpam-5843	191	7	/	/	SYM
ejpam-5843	191	8	eur	eur	PROPN
ejpam-5843	191	9	.	.	PUNCT
ejpam-5843	192	1	j.	j.	PROPN
ejpam-5843	192	2	pure	pure	PROPN
ejpam-5843	192	3	appl	appl	PROPN
ejpam-5843	192	4	.	.	PROPN
ejpam-5843	192	5	math	math	PROPN
ejpam-5843	192	6	,	,	PUNCT
ejpam-5843	192	7	18	18	NUM
ejpam-5843	192	8	(	(	PUNCT
ejpam-5843	192	9	1	1	NUM
ejpam-5843	192	10	)	)	PUNCT
ejpam-5843	192	11	(	(	PUNCT
ejpam-5843	192	12	2025	2025	NUM
ejpam-5843	192	13	)	)	PUNCT
ejpam-5843	192	14	,	,	PUNCT
ejpam-5843	192	15	5843	5843	NUM
ejpam-5843	192	16	10	10	NUM
ejpam-5843	192	17	of	of	ADP
ejpam-5843	192	18	10	10	NUM
ejpam-5843	192	19	the	the	DET
ejpam-5843	192	20	covid-19	covid-19	PROPN
ejpam-5843	192	21	outbreak	outbreak	NOUN
ejpam-5843	192	22	in	in	ADP
ejpam-5843	192	23	several	several	ADJ
ejpam-5843	192	24	countries	country	NOUN
ejpam-5843	192	25	.	.	PUNCT
ejpam-5843	193	1	mathematical	mathematical	ADJ
ejpam-5843	193	2	methods	method	NOUN
ejpam-5843	193	3	in	in	ADP
ejpam-5843	193	4	the	the	DET
ejpam-5843	193	5	applied	apply	VERB
ejpam-5843	193	6	sciences	science	NOUN
ejpam-5843	193	7	,	,	PUNCT
ejpam-5843	193	8	47(5):3273–3288	47(5):3273–3288	NUM
ejpam-5843	193	9	,	,	PUNCT
ejpam-5843	193	10	2024	2024	NUM
ejpam-5843	193	11	.	.	PUNCT
ejpam-5843	194	1	[	[	X
ejpam-5843	194	2	14	14	NUM
ejpam-5843	194	3	]	]	X
ejpam-5843	194	4	a.k	a.k	PROPN
ejpam-5843	194	5	.	.	PROPN
ejpam-5843	194	6	sabherwal	sabherwal	PROPN
ejpam-5843	194	7	,	,	PUNCT
ejpam-5843	194	8	a.	a.	NOUN
ejpam-5843	194	9	sood	sood	PROPN
ejpam-5843	194	10	,	,	PUNCT
ejpam-5843	194	11	and	and	CCONJ
ejpam-5843	194	12	m.a	m.a	PROPN
ejpam-5843	194	13	.	.	PROPN
ejpam-5843	194	14	shah	shah	PROPN
ejpam-5843	194	15	.	.	PUNCT
ejpam-5843	195	1	evaluating	evaluate	VERB
ejpam-5843	195	2	mathematical	mathematical	ADJ
ejpam-5843	195	3	models	model	NOUN
ejpam-5843	195	4	for	for	ADP
ejpam-5843	195	5	predicting	predict	VERB
ejpam-5843	195	6	the	the	DET
ejpam-5843	195	7	transmission	transmission	NOUN
ejpam-5843	195	8	of	of	ADP
ejpam-5843	195	9	covid-19	covid-19	PROPN
ejpam-5843	195	10	and	and	CCONJ
ejpam-5843	195	11	its	its	PRON
ejpam-5843	195	12	variants	variant	NOUN
ejpam-5843	195	13	towards	towards	ADP
ejpam-5843	195	14	sustainable	sustainable	ADJ
ejpam-5843	195	15	health	health	NOUN
ejpam-5843	195	16	and	and	CCONJ
ejpam-5843	195	17	well	well	ADV
ejpam-5843	195	18	-	-	PUNCT
ejpam-5843	195	19	being	being	NOUN
ejpam-5843	195	20	.	.	PUNCT
ejpam-5843	196	1	discover	discover	VERB
ejpam-5843	196	2	sustainability	sustainability	NOUN
ejpam-5843	196	3	,	,	PUNCT
ejpam-5843	196	4	5:38	5:38	NUM
ejpam-5843	196	5	,	,	PUNCT
ejpam-5843	196	6	2024	2024	NUM
ejpam-5843	196	7	.	.	PUNCT
ejpam-5843	197	1	[	[	X
ejpam-5843	197	2	15	15	NUM
ejpam-5843	197	3	]	]	X
ejpam-5843	197	4	s.	s.	PROPN
ejpam-5843	197	5	sarin	sarin	PROPN
ejpam-5843	197	6	,	,	PUNCT
ejpam-5843	197	7	s.	s.	PROPN
ejpam-5843	197	8	singh	singh	PROPN
ejpam-5843	197	9	,	,	PUNCT
ejpam-5843	197	10	s.	s.	PROPN
ejpam-5843	197	11	kumar	kumar	PROPN
ejpam-5843	197	12	,	,	PUNCT
ejpam-5843	197	13	s.	s.	PROPN
ejpam-5843	197	14	goyal	goyal	PROPN
ejpam-5843	197	15	,	,	PUNCT
ejpam-5843	197	16	b.	b.	PROPN
ejpam-5843	197	17	gupta	gupta	PROPN
ejpam-5843	197	18	,	,	PUNCT
ejpam-5843	197	19	v.	v.	CCONJ
ejpam-5843	197	20	arya	arya	NOUN
ejpam-5843	197	21	,	,	PUNCT
ejpam-5843	197	22	and	and	CCONJ
ejpam-5843	197	23	k.	k.	PROPN
ejpam-5843	197	24	chui	chui	PROPN
ejpam-5843	197	25	.	.	PROPN
ejpam-5843	198	1	seirdriven	seirdriven	ADJ
ejpam-5843	198	2	semantic	semantic	ADJ
ejpam-5843	198	3	integration	integration	NOUN
ejpam-5843	198	4	framework	framework	NOUN
ejpam-5843	198	5	:	:	PUNCT
ejpam-5843	198	6	internet	internet	NOUN
ejpam-5843	198	7	of	of	ADP
ejpam-5843	198	8	things	thing	NOUN
ejpam-5843	198	9	-	-	PUNCT
ejpam-5843	198	10	enhanced	enhance	VERB
ejpam-5843	198	11	epidemiological	epidemiological	ADJ
ejpam-5843	198	12	surveillance	surveillance	NOUN
ejpam-5843	198	13	in	in	ADP
ejpam-5843	198	14	covid-19	covid-19	PROPN
ejpam-5843	198	15	outbreaks	outbreak	NOUN
ejpam-5843	198	16	using	use	VERB
ejpam-5843	198	17	recurrent	recurrent	ADJ
ejpam-5843	198	18	neural	neural	ADJ
ejpam-5843	198	19	networks	network	NOUN
ejpam-5843	198	20	.	.	PUNCT
ejpam-5843	199	1	iet	iet	ADJ
ejpam-5843	199	2	cyberphysical	cyberphysical	ADJ
ejpam-5843	199	3	systems	system	NOUN
ejpam-5843	199	4	:	:	PUNCT
ejpam-5843	199	5	theory	theory	NOUN
ejpam-5843	199	6	and	and	CCONJ
ejpam-5843	199	7	applications	application	NOUN
ejpam-5843	199	8	,	,	PUNCT
ejpam-5843	199	9	9:135–149	9:135–149	NUM
ejpam-5843	199	10	,	,	PUNCT
ejpam-5843	199	11	2024	2024	NUM
ejpam-5843	199	12	.	.	PUNCT
ejpam-5843	200	1	[	[	X
ejpam-5843	200	2	16	16	NUM
ejpam-5843	200	3	]	]	X
ejpam-5843	200	4	f.j	f.j	PROPN
ejpam-5843	200	5	.	.	PROPN
ejpam-5843	200	6	schwarzendahl	schwarzendahl	PROPN
ejpam-5843	200	7	,	,	PUNCT
ejpam-5843	200	8	j.	j.	PROPN
ejpam-5843	200	9	grauer	grauer	PROPN
ejpam-5843	200	10	,	,	PUNCT
ejpam-5843	200	11	b.	b.	PROPN
ejpam-5843	200	12	liebchen	liebchen	ADV
ejpam-5843	200	13	,	,	PUNCT
ejpam-5843	200	14	and	and	CCONJ
ejpam-5843	200	15	h.	h.	PROPN
ejpam-5843	200	16	löwen	löwen	PROPN
ejpam-5843	200	17	.	.	PUNCT
ejpam-5843	201	1	mutation	mutation	NOUN
ejpam-5843	201	2	induced	induce	VERB
ejpam-5843	201	3	infection	infection	NOUN
ejpam-5843	201	4	waves	wave	NOUN
ejpam-5843	201	5	in	in	ADP
ejpam-5843	201	6	diseases	disease	NOUN
ejpam-5843	201	7	like	like	ADP
ejpam-5843	201	8	covid-19	covid-19	PROPN
ejpam-5843	201	9	.	.	PUNCT
ejpam-5843	202	1	scientific	scientific	ADJ
ejpam-5843	202	2	reports	report	NOUN
ejpam-5843	202	3	,	,	PUNCT
ejpam-5843	202	4	12(1):9641	12(1):9641	NUM
ejpam-5843	202	5	,	,	PUNCT
ejpam-5843	202	6	2022	2022	NUM
ejpam-5843	202	7	.	.	PUNCT
ejpam-5843	203	1	[	[	X
ejpam-5843	203	2	17	17	NUM
ejpam-5843	203	3	]	]	X
ejpam-5843	203	4	a.a	a.a	PROPN
ejpam-5843	203	5	.	.	PROPN
ejpam-5843	203	6	thirthar	thirthar	PROPN
ejpam-5843	203	7	,	,	PUNCT
ejpam-5843	203	8	h.	h.	PROPN
ejpam-5843	203	9	abboubakar	abboubakar	PROPN
ejpam-5843	203	10	,	,	PUNCT
ejpam-5843	203	11	a.	a.	PROPN
ejpam-5843	203	12	khan	khan	PROPN
ejpam-5843	203	13	,	,	PUNCT
ejpam-5843	203	14	and	and	CCONJ
ejpam-5843	203	15	t.	t.	PROPN
ejpam-5843	203	16	abdeljawad	abdeljawad	NOUN
ejpam-5843	203	17	.	.	PUNCT
ejpam-5843	204	1	mathematical	mathematical	ADJ
ejpam-5843	204	2	modeling	modeling	NOUN
ejpam-5843	204	3	of	of	ADP
ejpam-5843	204	4	the	the	DET
ejpam-5843	204	5	covid-19	covid-19	PROPN
ejpam-5843	204	6	epidemic	epidemic	NOUN
ejpam-5843	204	7	with	with	ADP
ejpam-5843	204	8	fear	fear	NOUN
ejpam-5843	204	9	impact	impact	NOUN
ejpam-5843	204	10	.	.	PUNCT
ejpam-5843	205	1	aims	aim	VERB
ejpam-5843	205	2	mathematics	mathematic	NOUN
ejpam-5843	205	3	,	,	PUNCT
ejpam-5843	205	4	8(3):6447–6465	8(3):6447–6465	NUM
ejpam-5843	205	5	,	,	PUNCT
ejpam-5843	205	6	2023	2023	NUM
ejpam-5843	205	7	.	.	PUNCT
ejpam-5843	206	1	[	[	X
ejpam-5843	206	2	18	18	NUM
ejpam-5843	206	3	]	]	X
ejpam-5843	206	4	y.	y.	PROPN
ejpam-5843	206	5	wang	wang	PROPN
ejpam-5843	206	6	,	,	PUNCT
ejpam-5843	206	7	f.	f.	PROPN
ejpam-5843	206	8	yuan	yuan	PROPN
ejpam-5843	206	9	,	,	PUNCT
ejpam-5843	206	10	y.	y.	PROPN
ejpam-5843	206	11	song	song	PROPN
ejpam-5843	206	12	,	,	PUNCT
ejpam-5843	206	13	h.	h.	PROPN
ejpam-5843	206	14	rao	rao	PROPN
ejpam-5843	206	15	,	,	PUNCT
ejpam-5843	206	16	l.	l.	PROPN
ejpam-5843	206	17	xiao	xiao	PROPN
ejpam-5843	206	18	,	,	PUNCT
ejpam-5843	206	19	h.	h.	PROPN
ejpam-5843	206	20	guo	guo	PROPN
ejpam-5843	206	21	,	,	PUNCT
ejpam-5843	206	22	et	et	PROPN
ejpam-5843	206	23	al	al	PROPN
ejpam-5843	206	24	.	.	PROPN
ejpam-5843	206	25	prediction	prediction	NOUN
ejpam-5843	206	26	of	of	ADP
ejpam-5843	206	27	cross	cross	ADJ
ejpam-5843	206	28	-	-	ADJ
ejpam-5843	206	29	border	border	ADJ
ejpam-5843	206	30	spread	spread	NOUN
ejpam-5843	206	31	of	of	ADP
ejpam-5843	206	32	the	the	DET
ejpam-5843	206	33	covid-19	covid-19	PROPN
ejpam-5843	206	34	pandemic	pandemic	NOUN
ejpam-5843	206	35	:	:	PUNCT
ejpam-5843	206	36	a	a	DET
ejpam-5843	206	37	predictive	predictive	ADJ
ejpam-5843	206	38	model	model	NOUN
ejpam-5843	206	39	for	for	ADP
ejpam-5843	206	40	imported	import	VERB
ejpam-5843	206	41	cases	case	NOUN
ejpam-5843	206	42	outside	outside	ADP
ejpam-5843	206	43	china	china	PROPN
ejpam-5843	206	44	.	.	PUNCT
ejpam-5843	207	1	plos	plos	PROPN
ejpam-5843	207	2	one	one	NUM
ejpam-5843	207	3	,	,	PUNCT
ejpam-5843	207	4	19(4):e0301420	19(4):e0301420	NUM
ejpam-5843	207	5	,	,	PUNCT
ejpam-5843	207	6	2024	2024	NUM
ejpam-5843	207	7	.	.	PUNCT