id	sid	tid	token	lemma	pos
cana-3377	1	1	communications	communication	NOUN
cana-3377	1	2	on	on	ADP
cana-3377	1	3	applied	apply	VERB
cana-3377	1	4	nonlinear	nonlinear	ADJ
cana-3377	1	5	analysis	analysis	NOUN
cana-3377	1	6	issn	issn	NOUN
cana-3377	1	7	:	:	PUNCT
cana-3377	1	8	1074	1074	NUM
cana-3377	1	9	-	-	PUNCT
cana-3377	1	10	133x	133x	NUM
cana-3377	1	11	vol	vol	NOUN
cana-3377	1	12	32	32	NUM
cana-3377	1	13	no	no	NOUN
cana-3377	1	14	.	.	PUNCT
cana-3377	2	1	7s	7	NOUN
cana-3377	2	2	(	(	PUNCT
cana-3377	2	3	2025	2025	NUM
cana-3377	2	4	)	)	PUNCT
cana-3377	2	5	196	196	NUM
cana-3377	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3377	2	7	modeling	model	VERB
cana-3377	2	8	infectious	infectious	ADJ
cana-3377	2	9	disease	disease	NOUN
cana-3377	2	10	spread	spread	VERB
cana-3377	2	11	:	:	PUNCT
cana-3377	2	12	differential	differential	ADJ
cana-3377	2	13	equations	equation	NOUN
cana-3377	2	14	in	in	ADP
cana-3377	2	15	population	population	NOUN
cana-3377	2	16	dynamics	dynamic	NOUN
cana-3377	2	17	and	and	CCONJ
cana-3377	2	18	epidemiology	epidemiology	NOUN
cana-3377	2	19	1r	1r	NUM
cana-3377	2	20	.	.	PUNCT
cana-3377	3	1	vinodhini	vinodhini	NOUN
cana-3377	3	2	,	,	PUNCT
cana-3377	3	3	2dr	2dr	ADJ
cana-3377	3	4	.	.	PUNCT
cana-3377	4	1	t.	t.	PROPN
cana-3377	4	2	n.	n.	PROPN
cana-3377	4	3	m.	m.	PROPN
cana-3377	4	4	malini	malini	PROPN
cana-3377	4	5	mai	mai	PROPN
cana-3377	4	6	,	,	PUNCT
cana-3377	4	7	3dr	3dr	NOUN
cana-3377	4	8	.	.	PUNCT
cana-3377	5	1	p.	p.	PROPN
cana-3377	5	2	ramesh	ramesh	PROPN
cana-3377	5	3	,	,	PUNCT
cana-3377	5	4	4dr	4dr	PROPN
cana-3377	5	5	.	.	PUNCT
cana-3377	6	1	r.stella	r.stella	NOUN
cana-3377	6	2	maragatham	maragatham	NOUN
cana-3377	6	3	,	,	PUNCT
cana-3377	6	4	5g.venkata	5g.venkata	NUM
cana-3377	6	5	ramana	ramana	NOUN
cana-3377	6	6	,	,	PUNCT
cana-3377	6	7	6ch.china	6ch.china	NUM
cana-3377	6	8	subba	subba	ADJ
cana-3377	6	9	rao	rao	NOUN
cana-3377	6	10	1department	1department	NUM
cana-3377	6	11	of	of	ADP
cana-3377	6	12	mathematics	mathematic	NOUN
cana-3377	6	13	,	,	PUNCT
cana-3377	6	14	saveetha	saveetha	PROPN
cana-3377	6	15	school	school	PROPN
cana-3377	6	16	of	of	ADP
cana-3377	6	17	engineering	engineering	NOUN
cana-3377	6	18	,	,	PUNCT
cana-3377	6	19	simats	simat	NOUN
cana-3377	6	20	,	,	PUNCT
cana-3377	6	21	tandalam	tandalam	PROPN
cana-3377	6	22	.	.	PUNCT
cana-3377	7	1	vinodhinir41034.sse@saveetha.com	vinodhinir41034.sse@saveetha.com	PROPN
cana-3377	7	2	2department	2department	NUM
cana-3377	7	3	of	of	ADP
cana-3377	7	4	mathematics	mathematic	NOUN
cana-3377	7	5	,	,	PUNCT
cana-3377	7	6	saveetha	saveetha	PROPN
cana-3377	7	7	school	school	PROPN
cana-3377	7	8	of	of	ADP
cana-3377	7	9	engineering	engineering	NOUN
cana-3377	7	10	,	,	PUNCT
cana-3377	7	11	simats	simat	NOUN
cana-3377	7	12	,	,	PUNCT
cana-3377	7	13	tandalam	tandalam	PROPN
cana-3377	7	14	.	.	PUNCT
cana-3377	8	1	malinimait.sse@saveetha.com	malinimait.sse@saveetha.com	PROPN
cana-3377	8	2	3professor	3professor	NUM
cana-3377	8	3	,	,	PUNCT
cana-3377	8	4	department	department	NOUN
cana-3377	8	5	of	of	ADP
cana-3377	8	6	mathematics	mathematic	NOUN
cana-3377	8	7	,	,	PUNCT
cana-3377	8	8	erode	erode	VERB
cana-3377	8	9	sengunthar	sengunthar	ADJ
cana-3377	8	10	engineering	engineering	NOUN
cana-3377	8	11	college	college	NOUN
cana-3377	8	12	perundurai	perundurai	NOUN
cana-3377	8	13	,	,	PUNCT
cana-3377	8	14	erode	erode	VERB
cana-3377	8	15	638057	638057	NUM
cana-3377	8	16	.	.	PUNCT
cana-3377	9	1	vprkarur@gmail.com	vprkarur@gmail.com	X
cana-3377	10	1	4department	4department	NUM
cana-3377	10	2	of	of	ADP
cana-3377	10	3	mathematics	mathematic	NOUN
cana-3377	10	4	,	,	PUNCT
cana-3377	10	5	saveetha	saveetha	PROPN
cana-3377	10	6	school	school	PROPN
cana-3377	10	7	of	of	ADP
cana-3377	10	8	engineering	engineering	NOUN
cana-3377	10	9	,	,	PUNCT
cana-3377	10	10	simats	simat	NOUN
cana-3377	10	11	,	,	PUNCT
cana-3377	10	12	tandalam	tandalam	PROPN
cana-3377	10	13	.	.	PUNCT
cana-3377	11	1	stellamaragathamr.sse@saveetha.com	stellamaragathamr.sse@saveetha.com	PROPN
cana-3377	11	2	5associate	5associate	NUM
cana-3377	11	3	professor	professor	NOUN
cana-3377	11	4	,	,	PUNCT
cana-3377	11	5	department	department	NOUN
cana-3377	11	6	of	of	ADP
cana-3377	11	7	mathematics	mathematics	PROPN
cana-3377	11	8	,	,	PUNCT
cana-3377	11	9	aditya	aditya	PROPN
cana-3377	11	10	university	university	PROPN
cana-3377	11	11	,	,	PUNCT
cana-3377	11	12	surampalem	surampalem	NOUN
cana-3377	11	13	,	,	PUNCT
cana-3377	11	14	india	india	PROPN
cana-3377	11	15	.	.	PUNCT
cana-3377	12	1	venkataramana.ginijala@aec.edu.in	venkataramana.ginijala@aec.edu.in	PROPN
cana-3377	12	2	6assistant	6assistant	NUM
cana-3377	12	3	professor	professor	NOUN
cana-3377	12	4	,	,	PUNCT
cana-3377	12	5	dept	dept	NOUN
cana-3377	12	6	of	of	ADP
cana-3377	12	7	petroleum	petroleum	NOUN
cana-3377	12	8	technology	technology	NOUN
cana-3377	12	9	,	,	PUNCT
cana-3377	12	10	aditya	aditya	PROPN
cana-3377	12	11	university	university	PROPN
cana-3377	12	12	,	,	PUNCT
cana-3377	12	13	surampalem	surampalem	NOUN
cana-3377	12	14	,	,	PUNCT
cana-3377	12	15	india	india	PROPN
cana-3377	12	16	.	.	PUNCT
cana-3377	12	17	chinasubbarao.ch@aec.edu.in	chinasubbarao.ch@aec.edu.in	PROPN
cana-3377	12	18	article	article	NOUN
cana-3377	12	19	history	history	NOUN
cana-3377	12	20	:	:	PUNCT
cana-3377	12	21	received	receive	VERB
cana-3377	12	22	:	:	PUNCT
cana-3377	12	23	23	23	NUM
cana-3377	12	24	-	-	SYM
cana-3377	12	25	10	10	NUM
cana-3377	12	26	-	-	PUNCT
cana-3377	12	27	2024	2024	NUM
cana-3377	12	28	revised	revise	VERB
cana-3377	12	29	:	:	PUNCT
cana-3377	12	30	06	06	NUM
cana-3377	12	31	-	-	SYM
cana-3377	12	32	11	11	NUM
cana-3377	12	33	-	-	PUNCT
cana-3377	12	34	2024	2024	NUM
cana-3377	12	35	accepted	accept	VERB
cana-3377	12	36	:	:	PUNCT
cana-3377	12	37	14	14	NUM
cana-3377	12	38	-	-	SYM
cana-3377	12	39	12	12	NUM
cana-3377	12	40	-	-	PUNCT
cana-3377	12	41	2024	2024	NUM
cana-3377	12	42	abstract	abstract	NOUN
cana-3377	12	43	:	:	PUNCT
cana-3377	12	44	quantitative	quantitative	ADJ
cana-3377	12	45	modelling	modelling	NOUN
cana-3377	12	46	of	of	ADP
cana-3377	12	47	epidemiological	epidemiological	ADJ
cana-3377	12	48	diseases	disease	NOUN
cana-3377	12	49	plays	play	VERB
cana-3377	12	50	a	a	DET
cana-3377	12	51	vital	vital	ADJ
cana-3377	12	52	role	role	NOUN
cana-3377	12	53	in	in	ADP
cana-3377	12	54	disease	disease	NOUN
cana-3377	12	55	dynamics	dynamic	NOUN
cana-3377	12	56	and	and	CCONJ
cana-3377	12	57	monitoring	monitoring	NOUN
cana-3377	12	58	and	and	CCONJ
cana-3377	12	59	surveillance	surveillance	NOUN
cana-3377	12	60	.	.	PUNCT
cana-3377	13	1	differential	differential	ADJ
cana-3377	13	2	equations	equation	NOUN
cana-3377	13	3	provide	provide	VERB
cana-3377	13	4	a	a	DET
cana-3377	13	5	good	good	ADJ
cana-3377	13	6	way	way	NOUN
cana-3377	13	7	of	of	ADP
cana-3377	13	8	understanding	understand	VERB
cana-3377	13	9	disease	disease	NOUN
cana-3377	13	10	transmission	transmission	NOUN
cana-3377	13	11	dynamics	dynamic	NOUN
cana-3377	13	12	,	,	PUNCT
cana-3377	13	13	and	and	CCONJ
cana-3377	13	14	the	the	DET
cana-3377	13	15	effectiveness	effectiveness	NOUN
cana-3377	13	16	of	of	ADP
cana-3377	13	17	different	different	ADJ
cana-3377	13	18	mitigation	mitigation	NOUN
cana-3377	13	19	measures	measure	NOUN
cana-3377	13	20	.	.	PUNCT
cana-3377	14	1	this	this	DET
cana-3377	14	2	paper	paper	NOUN
cana-3377	14	3	aims	aim	VERB
cana-3377	14	4	at	at	ADP
cana-3377	14	5	discussing	discuss	VERB
cana-3377	14	6	the	the	DET
cana-3377	14	7	application	application	NOUN
cana-3377	14	8	of	of	ADP
cana-3377	14	9	differential	differential	ADJ
cana-3377	14	10	equations	equation	NOUN
cana-3377	14	11	in	in	ADP
cana-3377	14	12	studying	study	VERB
cana-3377	14	13	diseases	disease	NOUN
cana-3377	14	14	spreading	spread	VERB
cana-3377	14	15	,	,	PUNCT
cana-3377	14	16	particularly	particularly	ADV
cana-3377	14	17	with	with	ADP
cana-3377	14	18	reference	reference	NOUN
cana-3377	14	19	to	to	ADP
cana-3377	14	20	compartmental	compartmental	ADJ
cana-3377	14	21	models	model	NOUN
cana-3377	14	22	like	like	ADP
cana-3377	14	23	sir	sir	NOUN
cana-3377	14	24	model	model	NOUN
cana-3377	14	25	,	,	PUNCT
cana-3377	14	26	and	and	CCONJ
cana-3377	14	27	extensions	extension	NOUN
cana-3377	14	28	for	for	ADP
cana-3377	14	29	their	their	PRON
cana-3377	14	30	improved	improved	ADJ
cana-3377	14	31	realism	realism	NOUN
cana-3377	14	32	.	.	PUNCT
cana-3377	15	1	the	the	DET
cana-3377	15	2	paper	paper	NOUN
cana-3377	15	3	focuses	focus	VERB
cana-3377	15	4	on	on	ADP
cana-3377	15	5	the	the	DET
cana-3377	15	6	fundamental	fundamental	ADJ
cana-3377	15	7	aspects	aspect	NOUN
cana-3377	15	8	of	of	ADP
cana-3377	15	9	differential	differential	ADJ
cana-3377	15	10	equations	equation	NOUN
cana-3377	15	11	used	use	VERB
cana-3377	15	12	in	in	ADP
cana-3377	15	13	population	population	NOUN
cana-3377	15	14	dynamics	dynamic	NOUN
cana-3377	15	15	,	,	PUNCT
cana-3377	15	16	epidemics	epidemic	NOUN
cana-3377	15	17	,	,	PUNCT
cana-3377	15	18	immunity	immunity	NOUN
cana-3377	15	19	and	and	CCONJ
cana-3377	15	20	vaccines	vaccine	NOUN
cana-3377	15	21	,	,	PUNCT
cana-3377	15	22	and	and	CCONJ
cana-3377	15	23	the	the	DET
cana-3377	15	24	consequences	consequence	NOUN
cana-3377	15	25	of	of	ADP
cana-3377	15	26	controlling	control	VERB
cana-3377	15	27	or	or	CCONJ
cana-3377	15	28	changing	change	VERB
cana-3377	15	29	different	different	ADJ
cana-3377	15	30	aspects	aspect	NOUN
cana-3377	15	31	of	of	ADP
cana-3377	15	32	communities	community	NOUN
cana-3377	15	33	.	.	PUNCT
cana-3377	16	1	by	by	ADP
cana-3377	16	2	applying	apply	VERB
cana-3377	16	3	these	these	DET
cana-3377	16	4	two	two	NUM
cana-3377	16	5	models	model	NOUN
cana-3377	16	6	,	,	PUNCT
cana-3377	16	7	the	the	DET
cana-3377	16	8	paper	paper	NOUN
cana-3377	16	9	gives	give	VERB
cana-3377	16	10	case	case	NOUN
cana-3377	16	11	details	detail	NOUN
cana-3377	16	12	concerning	concern	VERB
cana-3377	16	13	the	the	DET
cana-3377	16	14	transmission	transmission	NOUN
cana-3377	16	15	of	of	ADP
cana-3377	16	16	diseases	disease	NOUN
cana-3377	16	17	such	such	ADJ
cana-3377	16	18	as	as	ADP
cana-3377	16	19	covid	covid	PROPN
cana-3377	16	20	19	19	NUM
cana-3377	16	21	and	and	CCONJ
cana-3377	16	22	influenza	influenza	NOUN
cana-3377	16	23	.	.	PUNCT
cana-3377	17	1	the	the	DET
cana-3377	17	2	findings	finding	NOUN
cana-3377	17	3	offer	offer	VERB
cana-3377	17	4	details	detail	NOUN
cana-3377	17	5	of	of	ADP
cana-3377	17	6	disease	disease	NOUN
cana-3377	17	7	spread	spread	NOUN
cana-3377	17	8	and	and	CCONJ
cana-3377	17	9	extension	extension	NOUN
cana-3377	17	10	and	and	CCONJ
cana-3377	17	11	will	will	AUX
cana-3377	17	12	serve	serve	VERB
cana-3377	17	13	as	as	ADP
cana-3377	17	14	a	a	DET
cana-3377	17	15	basis	basis	NOUN
cana-3377	17	16	for	for	ADP
cana-3377	17	17	further	further	ADJ
cana-3377	17	18	studies	study	NOUN
cana-3377	17	19	and	and	CCONJ
cana-3377	17	20	eventual	eventual	ADJ
cana-3377	17	21	treatment	treatment	NOUN
cana-3377	17	22	on	on	ADP
cana-3377	17	23	the	the	DET
cana-3377	17	24	subject	subject	NOUN
cana-3377	17	25	in	in	ADP
cana-3377	17	26	the	the	DET
cana-3377	17	27	health	health	NOUN
cana-3377	17	28	sector	sector	NOUN
cana-3377	17	29	.	.	PUNCT
cana-3377	18	1	keywords	keyword	NOUN
cana-3377	18	2	:	:	PUNCT
cana-3377	18	3	infectious	infectious	ADJ
cana-3377	18	4	disease	disease	NOUN
cana-3377	18	5	modeling	modeling	NOUN
cana-3377	18	6	,	,	PUNCT
cana-3377	18	7	differential	differential	ADJ
cana-3377	18	8	equations	equation	NOUN
cana-3377	18	9	,	,	PUNCT
cana-3377	18	10	epidemiology	epidemiology	NOUN
cana-3377	18	11	,	,	PUNCT
cana-3377	18	12	sir	sir	NOUN
cana-3377	18	13	model	model	NOUN
cana-3377	18	14	,	,	PUNCT
cana-3377	18	15	population	population	NOUN
cana-3377	18	16	dynamics	dynamic	NOUN
cana-3377	18	17	,	,	PUNCT
cana-3377	18	18	disease	disease	NOUN
cana-3377	18	19	spread	spread	VERB
cana-3377	18	20	,	,	PUNCT
cana-3377	18	21	public	public	ADJ
cana-3377	18	22	health	health	NOUN
cana-3377	18	23	interventions	intervention	NOUN
cana-3377	18	24	,	,	PUNCT
cana-3377	18	25	immunity	immunity	NOUN
cana-3377	18	26	,	,	PUNCT
cana-3377	18	27	vaccination	vaccination	NOUN
cana-3377	18	28	,	,	PUNCT
cana-3377	18	29	mathematical	mathematical	ADJ
cana-3377	18	30	modeling	modeling	NOUN
cana-3377	18	31	.	.	PUNCT
cana-3377	19	1	i.	i.	PROPN
cana-3377	19	2	introduction	introduction	NOUN
cana-3377	19	3	the	the	DET
cana-3377	19	4	occurrence	occurrence	NOUN
cana-3377	19	5	of	of	ADP
cana-3377	19	6	infectious	infectious	ADJ
cana-3377	19	7	diseases	disease	NOUN
cana-3377	19	8	has	have	AUX
cana-3377	19	9	been	be	AUX
cana-3377	19	10	an	an	DET
cana-3377	19	11	area	area	NOUN
cana-3377	19	12	of	of	ADP
cana-3377	19	13	interest	interest	NOUN
cana-3377	19	14	over	over	ADP
cana-3377	19	15	many	many	ADJ
cana-3377	19	16	years	year	NOUN
cana-3377	19	17	with	with	ADP
cana-3377	19	18	epidemics	epidemic	NOUN
cana-3377	19	19	and	and	CCONJ
cana-3377	19	20	pandemics	pandemic	NOUN
cana-3377	19	21	occurring	occur	VERB
cana-3377	19	22	globally	globally	ADV
cana-3377	19	23	today	today	NOUN
cana-3377	19	24	.	.	PUNCT
cana-3377	20	1	quantitative	quantitative	ADJ
cana-3377	20	2	analysis	analysis	NOUN
cana-3377	20	3	of	of	ADP
cana-3377	20	4	epidemic	epidemic	NOUN
cana-3377	20	5	transmission	transmission	NOUN
cana-3377	20	6	is	be	AUX
cana-3377	20	7	valuable	valuable	ADJ
cana-3377	20	8	when	when	SCONJ
cana-3377	20	9	it	it	PRON
cana-3377	20	10	comes	come	VERB
cana-3377	20	11	to	to	ADP
cana-3377	20	12	describing	describe	VERB
cana-3377	20	13	the	the	DET
cana-3377	20	14	processes	process	NOUN
cana-3377	20	15	that	that	PRON
cana-3377	20	16	occur	occur	VERB
cana-3377	20	17	during	during	ADP
cana-3377	20	18	an	an	DET
cana-3377	20	19	epidemic	epidemic	NOUN
cana-3377	20	20	and	and	CCONJ
cana-3377	20	21	their	their	PRON
cana-3377	20	22	further	further	ADJ
cana-3377	20	23	prediction	prediction	NOUN
cana-3377	20	24	.	.	PUNCT
cana-3377	21	1	nonetheless	nonetheless	ADV
cana-3377	21	2	,	,	PUNCT
cana-3377	21	3	differential	differential	ADJ
cana-3377	21	4	equations	equation	NOUN
cana-3377	21	5	occupy	occupy	VERB
cana-3377	21	6	a	a	DET
cana-3377	21	7	special	special	ADJ
cana-3377	21	8	place	place	NOUN
cana-3377	21	9	in	in	ADP
cana-3377	21	10	studying	study	VERB
cana-3377	21	11	epidemiological	epidemiological	ADJ
cana-3377	21	12	processes	process	NOUN
cana-3377	21	13	,	,	PUNCT
cana-3377	21	14	given	give	VERB
cana-3377	21	15	that	that	SCONJ
cana-3377	21	16	they	they	PRON
cana-3377	21	17	account	account	VERB
cana-3377	21	18	for	for	ADP
cana-3377	21	19	the	the	DET
cana-3377	21	20	temporal	temporal	ADJ
cana-3377	21	21	distribution	distribution	NOUN
cana-3377	21	22	of	of	ADP
cana-3377	21	23	infection	infection	NOUN
cana-3377	21	24	in	in	ADP
cana-3377	21	25	populations	population	NOUN
cana-3377	21	26	.	.	PUNCT
cana-3377	22	1	these	these	PRON
cana-3377	22	2	are	be	AUX
cana-3377	22	3	important	important	ADJ
cana-3377	22	4	for	for	ADP
cana-3377	22	5	analysis	analysis	NOUN
cana-3377	22	6	in	in	ADP
cana-3377	22	7	public	public	ADJ
cana-3377	22	8	health	health	NOUN
cana-3377	22	9	as	as	SCONJ
cana-3377	22	10	they	they	PRON
cana-3377	22	11	allow	allow	VERB
cana-3377	22	12	health	health	NOUN
cana-3377	22	13	policy	policy	NOUN
cana-3377	22	14	makers	maker	NOUN
cana-3377	22	15	to	to	PART
cana-3377	22	16	test	test	VERB
cana-3377	22	17	different	different	ADJ
cana-3377	22	18	interventions	intervention	NOUN
cana-3377	22	19	including	include	VERB
cana-3377	22	20	vaccination	vaccination	NOUN
cana-3377	22	21	,	,	PUNCT
cana-3377	22	22	isolation	isolation	NOUN
cana-3377	22	23	,	,	PUNCT
cana-3377	22	24	and	and	CCONJ
cana-3377	22	25	social	social	ADJ
cana-3377	22	26	distancing	distancing	NOUN
cana-3377	22	27	measures	measure	NOUN
cana-3377	22	28	[	[	X
cana-3377	22	29	2	2	NUM
cana-3377	22	30	-	-	SYM
cana-3377	22	31	5	5	NUM
cana-3377	22	32	]	]	PUNCT
cana-3377	22	33	.	.	PUNCT
cana-3377	23	1	mailto:vinodhinir41034.sse@saveetha.com	mailto:vinodhinir41034.sse@saveetha.com	PROPN
cana-3377	23	2	mailto:malinimait.sse@saveetha.com	mailto:malinimait.sse@saveetha.com	X
cana-3377	24	1	mailto:vprkarur@gmail.com	mailto:vprkarur@gmail.com	PROPN
cana-3377	24	2	mailto:stellamaragathamr.sse@saveetha.com	mailto:stellamaragathamr.sse@saveetha.com	NOUN
cana-3377	25	1	mailto:venkataramana.ginijala@aec.edu.in	mailto:venkataramana.ginijala@aec.edu.in	PUNCT
cana-3377	25	2	mailto:chinasubbarao.ch@aec.edu.in	mailto:chinasubbarao.ch@aec.edu.in	AUX
cana-3377	25	3	communications	communication	NOUN
cana-3377	25	4	on	on	ADP
cana-3377	25	5	applied	apply	VERB
cana-3377	25	6	nonlinear	nonlinear	ADJ
cana-3377	25	7	analysis	analysis	NOUN
cana-3377	25	8	issn	issn	NOUN
cana-3377	25	9	:	:	PUNCT
cana-3377	25	10	1074	1074	NUM
cana-3377	25	11	-	-	PUNCT
cana-3377	25	12	133x	133x	NUM
cana-3377	25	13	vol	vol	NOUN
cana-3377	25	14	32	32	NUM
cana-3377	25	15	no	no	NOUN
cana-3377	25	16	.	.	PUNCT
cana-3377	26	1	7s	7	NOUN
cana-3377	26	2	(	(	PUNCT
cana-3377	26	3	2025	2025	NUM
cana-3377	26	4	)	)	PUNCT
cana-3377	26	5	197	197	NUM
cana-3377	26	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3377	26	7	the	the	DET
cana-3377	26	8	fundamental	fundamental	ADJ
cana-3377	26	9	characteristic	characteristic	NOUN
cana-3377	26	10	of	of	ADP
cana-3377	26	11	most	most	ADJ
cana-3377	26	12	epidemiological	epidemiological	ADJ
cana-3377	26	13	models	model	NOUN
cana-3377	26	14	is	be	AUX
cana-3377	26	15	compartments	compartment	NOUN
cana-3377	26	16	,	,	PUNCT
cana-3377	26	17	which	which	PRON
cana-3377	26	18	denote	denote	VERB
cana-3377	26	19	states	state	NOUN
cana-3377	26	20	of	of	ADP
cana-3377	26	21	the	the	DET
cana-3377	26	22	population	population	NOUN
cana-3377	26	23	.	.	PUNCT
cana-3377	27	1	the	the	DET
cana-3377	27	2	classic	classic	ADJ
cana-3377	27	3	susceptible	susceptible	ADJ
cana-3377	27	4	-	-	PUNCT
cana-3377	27	5	infected	infect	VERB
cana-3377	27	6	-	-	PUNCT
cana-3377	27	7	recovered	recover	VERB
cana-3377	27	8	(	(	PUNCT
cana-3377	27	9	sir	sir	NOUN
cana-3377	27	10	)	)	PUNCT
cana-3377	27	11	model	model	NOUN
cana-3377	27	12	is	be	AUX
cana-3377	27	13	a	a	DET
cana-3377	27	14	well	well	ADV
cana-3377	27	15	-	-	PUNCT
cana-3377	27	16	known	know	VERB
cana-3377	27	17	example	example	NOUN
cana-3377	27	18	that	that	PRON
cana-3377	27	19	classifies	classify	VERB
cana-3377	27	20	individuals	individual	NOUN
cana-3377	27	21	into	into	ADP
cana-3377	27	22	three	three	NUM
cana-3377	27	23	categories	category	NOUN
cana-3377	27	24	:	:	PUNCT
cana-3377	27	25	vulnerable	vulnerable	ADJ
cana-3377	27	26	(	(	PUNCT
cana-3377	27	27	those	those	PRON
cana-3377	27	28	who	who	PRON
cana-3377	27	29	are	be	AUX
cana-3377	27	30	likely	likely	ADJ
cana-3377	27	31	to	to	PART
cana-3377	27	32	develop	develop	VERB
cana-3377	27	33	the	the	DET
cana-3377	27	34	disease	disease	NOUN
cana-3377	27	35	)	)	PUNCT
cana-3377	27	36	,	,	PUNCT
cana-3377	27	37	confirmed	confirm	VERB
cana-3377	27	38	(	(	PUNCT
cana-3377	27	39	those	those	PRON
cana-3377	27	40	who	who	PRON
cana-3377	27	41	have	have	VERB
cana-3377	27	42	the	the	DET
cana-3377	27	43	disease	disease	NOUN
cana-3377	27	44	and	and	CCONJ
cana-3377	27	45	can	can	AUX
cana-3377	27	46	infect	infect	VERB
cana-3377	27	47	other	other	ADJ
cana-3377	27	48	people	people	NOUN
cana-3377	27	49	)	)	PUNCT
cana-3377	27	50	and	and	CCONJ
cana-3377	27	51	cured	cure	VERB
cana-3377	27	52	(	(	PUNCT
cana-3377	27	53	those	those	PRON
cana-3377	27	54	who	who	PRON
cana-3377	27	55	have	have	AUX
cana-3377	27	56	been	be	AUX
cana-3377	27	57	treated	treat	VERB
cana-3377	27	58	and	and	CCONJ
cana-3377	27	59	can	can	AUX
cana-3377	27	60	not	not	PART
cana-3377	27	61	be	be	AUX
cana-3377	27	62	re	re	VERB
cana-3377	27	63	-	-	VERB
cana-3377	27	64	infected	infected	ADJ
cana-3377	27	65	or	or	CCONJ
cana-3377	27	66	have	have	AUX
cana-3377	27	67	died	die	VERB
cana-3377	27	68	)	)	PUNCT
cana-3377	27	69	.	.	PUNCT
cana-3377	28	1	these	these	DET
cana-3377	28	2	base	base	NOUN
cana-3377	28	3	formulations	formulation	NOUN
cana-3377	28	4	can	can	AUX
cana-3377	28	5	be	be	AUX
cana-3377	28	6	expanded	expand	VERB
cana-3377	28	7	and	and	CCONJ
cana-3377	28	8	generalized	generalize	VERB
cana-3377	28	9	for	for	ADP
cana-3377	28	10	the	the	DET
cana-3377	28	11	more	more	ADV
cana-3377	28	12	complicated	complicated	ADJ
cana-3377	28	13	states	state	NOUN
cana-3377	28	14	,	,	PUNCT
cana-3377	28	15	which	which	PRON
cana-3377	28	16	include	include	VERB
cana-3377	28	17	several	several	ADJ
cana-3377	28	18	stages	stage	NOUN
cana-3377	28	19	of	of	ADP
cana-3377	28	20	infection	infection	NOUN
cana-3377	28	21	,	,	PUNCT
cana-3377	28	22	protection	protection	NOUN
cana-3377	28	23	by	by	ADP
cana-3377	28	24	vaccination	vaccination	NOUN
cana-3377	28	25	,	,	PUNCT
cana-3377	28	26	or	or	CCONJ
cana-3377	28	27	an	an	DET
cana-3377	28	28	intervention	intervention	NOUN
cana-3377	28	29	program	program	NOUN
cana-3377	28	30	being	be	AUX
cana-3377	28	31	implemented	implement	VERB
cana-3377	28	32	.	.	PUNCT
cana-3377	29	1	furthermore	furthermore	ADV
cana-3377	29	2	,	,	PUNCT
cana-3377	29	3	models	model	NOUN
cana-3377	29	4	may	may	AUX
cana-3377	29	5	contain	contain	VERB
cana-3377	29	6	aspects	aspect	NOUN
cana-3377	29	7	such	such	ADJ
cana-3377	29	8	as	as	ADP
cana-3377	29	9	environment	environment	NOUN
cana-3377	29	10	or	or	CCONJ
cana-3377	29	11	human	human	ADJ
cana-3377	29	12	actions	action	NOUN
cana-3377	29	13	and	and	CCONJ
cana-3377	29	14	hence	hence	ADV
cana-3377	29	15	disease	disease	NOUN
cana-3377	29	16	transmission	transmission	NOUN
cana-3377	29	17	can	can	AUX
cana-3377	29	18	be	be	AUX
cana-3377	29	19	examined	examine	VERB
cana-3377	29	20	.	.	PUNCT
cana-3377	30	1	in	in	ADP
cana-3377	30	2	contrast	contrast	NOUN
cana-3377	30	3	,	,	PUNCT
cana-3377	30	4	the	the	DET
cana-3377	30	5	first	first	ADJ
cana-3377	30	6	written	write	VERB
cana-3377	30	7	work	work	NOUN
cana-3377	30	8	,	,	PUNCT
cana-3377	30	9	which	which	PRON
cana-3377	30	10	was	be	AUX
cana-3377	30	11	considered	consider	VERB
cana-3377	30	12	a	a	DET
cana-3377	30	13	realistic	realistic	ADJ
cana-3377	30	14	attempt	attempt	NOUN
cana-3377	30	15	to	to	PART
cana-3377	30	16	model	model	VERB
cana-3377	30	17	the	the	DET
cana-3377	30	18	spread	spread	NOUN
cana-3377	30	19	of	of	ADP
cana-3377	30	20	infection	infection	NOUN
cana-3377	30	21	diseases	disease	NOUN
cana-3377	30	22	,	,	PUNCT
cana-3377	30	23	was	be	AUX
cana-3377	30	24	published	publish	VERB
cana-3377	30	25	in	in	ADP
cana-3377	30	26	1927	1927	NUM
cana-3377	30	27	by	by	ADP
cana-3377	30	28	kermack	kermack	NOUN
cana-3377	30	29	and	and	CCONJ
cana-3377	30	30	mc	mc	PROPN
cana-3377	30	31	kendrick	kendrick	PROPN
cana-3377	31	1	[	[	X
cana-3377	31	2	1	1	NUM
cana-3377	31	3	]	]	PUNCT
cana-3377	31	4	.	.	PUNCT
cana-3377	32	1	researchers	researcher	NOUN
cana-3377	32	2	whose	whose	DET
cana-3377	32	3	papers	paper	NOUN
cana-3377	32	4	dealt	deal	VERB
cana-3377	32	5	with	with	ADP
cana-3377	32	6	erection	erection	NOUN
cana-3377	32	7	of	of	ADP
cana-3377	32	8	the	the	DET
cana-3377	32	9	initial	initial	ADJ
cana-3377	32	10	mathematical	mathematical	ADJ
cana-3377	32	11	model	model	NOUN
cana-3377	32	12	generation	generation	NOUN
cana-3377	32	13	are	be	AUX
cana-3377	32	14	attributed	attribute	VERB
cana-3377	32	15	to	to	PART
cana-3377	32	16	have	have	AUX
cana-3377	32	17	added	add	VERB
cana-3377	32	18	to	to	ADP
cana-3377	32	19	the	the	DET
cana-3377	32	20	fundamental	fundamental	ADJ
cana-3377	32	21	base	base	NOUN
cana-3377	32	22	of	of	ADP
cana-3377	32	23	the	the	DET
cana-3377	32	24	sir	sir	NOUN
cana-3377	32	25	model	model	NOUN
cana-3377	32	26	as	as	ADV
cana-3377	32	27	well	well	ADV
cana-3377	32	28	as	as	ADP
cana-3377	32	29	into	into	ADP
cana-3377	32	30	the	the	DET
cana-3377	32	31	other	other	ADJ
cana-3377	32	32	future	future	ADJ
cana-3377	32	33	innovations	innovation	NOUN
cana-3377	32	34	in	in	ADP
cana-3377	32	35	mathematical	mathematical	ADJ
cana-3377	32	36	epidemiology	epidemiology	NOUN
cana-3377	32	37	.	.	PUNCT
cana-3377	33	1	because	because	SCONJ
cana-3377	33	2	of	of	ADP
cana-3377	33	3	the	the	DET
cana-3377	33	4	straightforward	straightforward	ADJ
cana-3377	33	5	sir	sir	NOUN
cana-3377	33	6	model	model	NOUN
cana-3377	33	7	,	,	PUNCT
cana-3377	33	8	many	many	ADJ
cana-3377	33	9	of	of	ADP
cana-3377	33	10	the	the	DET
cana-3377	33	11	development	development	NOUN
cana-3377	33	12	of	of	ADP
cana-3377	33	13	the	the	DET
cana-3377	33	14	model	model	NOUN
cana-3377	33	15	in	in	ADP
cana-3377	33	16	the	the	DET
cana-3377	33	17	past	past	ADJ
cana-3377	33	18	years	year	NOUN
cana-3377	33	19	have	have	AUX
cana-3377	33	20	aimed	aim	VERB
cana-3377	33	21	to	to	PART
cana-3377	33	22	eliminate	eliminate	VERB
cana-3377	33	23	some	some	PRON
cana-3377	33	24	of	of	ADP
cana-3377	33	25	these	these	DET
cana-3377	33	26	complexities	complexity	NOUN
cana-3377	33	27	like	like	ADP
cana-3377	33	28	adding	add	VERB
cana-3377	33	29	exposed	expose	VERB
cana-3377	33	30	class	class	NOUN
cana-3377	33	31	to	to	ADP
cana-3377	33	32	the	the	DET
cana-3377	33	33	model	model	NOUN
cana-3377	33	34	to	to	PART
cana-3377	33	35	form	form	VERB
cana-3377	33	36	the	the	DET
cana-3377	33	37	sirs	sir	NOUN
cana-3377	33	38	,	,	PUNCT
cana-3377	33	39	seir	seir	NOUN
cana-3377	33	40	models	model	NOUN
cana-3377	33	41	,	,	PUNCT
cana-3377	33	42	the	the	DET
cana-3377	33	43	inclusion	inclusion	NOUN
cana-3377	33	44	of	of	ADP
cana-3377	33	45	different	different	ADJ
cana-3377	33	46	incidence	incidence	NOUN
cana-3377	33	47	rates	rate	NOUN
cana-3377	33	48	or	or	CCONJ
cana-3377	33	49	stochastic	stochastic	ADJ
cana-3377	33	50	factors	factor	NOUN
cana-3377	33	51	as	as	ADP
cana-3377	33	52	part	part	NOUN
cana-3377	33	53	of	of	ADP
cana-3377	33	54	the	the	DET
cana-3377	33	55	transmission	transmission	NOUN
cana-3377	33	56	of	of	ADP
cana-3377	33	57	the	the	DET
cana-3377	33	58	disease	disease	NOUN
cana-3377	33	59	[	[	X
cana-3377	33	60	6	6	NUM
cana-3377	33	61	]	]	PUNCT
cana-3377	33	62	.	.	PUNCT
cana-3377	34	1	the	the	DET
cana-3377	34	2	use	use	NOUN
cana-3377	34	3	of	of	ADP
cana-3377	34	4	these	these	DET
cana-3377	34	5	models	model	NOUN
cana-3377	34	6	also	also	ADV
cana-3377	34	7	covers	cover	VERB
cana-3377	34	8	the	the	DET
cana-3377	34	9	vast	vast	ADJ
cana-3377	34	10	network	network	NOUN
cana-3377	34	11	of	of	ADP
cana-3377	34	12	communicable	communicable	NOUN
cana-3377	34	13	diseases	disease	NOUN
cana-3377	34	14	including	include	VERB
cana-3377	34	15	viral	viral	ADJ
cana-3377	34	16	infections	infection	NOUN
cana-3377	34	17	such	such	ADJ
cana-3377	34	18	as	as	ADP
cana-3377	34	19	influenza	influenza	NOUN
cana-3377	34	20	,	,	PUNCT
cana-3377	34	21	hiv	hiv	PROPN
cana-3377	34	22	,	,	PUNCT
cana-3377	34	23	and	and	CCONJ
cana-3377	34	24	new	new	ADJ
cana-3377	34	25	fines	fine	NOUN
cana-3377	34	26	emerging	emerge	VERB
cana-3377	34	27	global	global	ADJ
cana-3377	34	28	threats	threat	NOUN
cana-3377	34	29	like	like	ADP
cana-3377	34	30	covid	covid	PROPN
cana-3377	34	31	-19	-19	PROPN
cana-3377	34	32	.	.	PUNCT
cana-3377	35	1	mathematical	mathematical	ADJ
cana-3377	35	2	models	model	NOUN
cana-3377	35	3	provide	provide	VERB
cana-3377	35	4	insight	insight	NOUN
cana-3377	35	5	into	into	ADP
cana-3377	35	6	the	the	DET
cana-3377	35	7	trajectory	trajectory	NOUN
cana-3377	35	8	of	of	ADP
cana-3377	35	9	an	an	DET
cana-3377	35	10	illness	illness	NOUN
cana-3377	35	11	,	,	PUNCT
cana-3377	35	12	calculate	calculate	VERB
cana-3377	35	13	the	the	DET
cana-3377	35	14	potential	potential	ADJ
cana-3377	35	15	reproducibility	reproducibility	NOUN
cana-3377	35	16	factor	factor	NOUN
cana-3377	35	17	–	–	PUNCT
cana-3377	35	18	r₀	r₀	NOUN
cana-3377	35	19	,	,	PUNCT
cana-3377	35	20	and	and	CCONJ
cana-3377	35	21	determine	determine	VERB
cana-3377	35	22	the	the	DET
cana-3377	35	23	effectiveness	effectiveness	NOUN
cana-3377	35	24	of	of	ADP
cana-3377	35	25	measures	measure	NOUN
cana-3377	35	26	to	to	PART
cana-3377	35	27	control	control	VERB
cana-3377	35	28	the	the	DET
cana-3377	35	29	epidemic	epidemic	NOUN
cana-3377	35	30	process	process	NOUN
cana-3377	35	31	.	.	PUNCT
cana-3377	36	1	for	for	ADP
cana-3377	36	2	instance	instance	NOUN
cana-3377	36	3	,	,	PUNCT
cana-3377	36	4	the	the	DET
cana-3377	36	5	use	use	NOUN
cana-3377	36	6	of	of	ADP
cana-3377	36	7	r₀	r₀	ADJ
cana-3377	36	8	determines	determine	NOUN
cana-3377	36	9	whether	whether	SCONJ
cana-3377	36	10	an	an	DET
cana-3377	36	11	epidemic	epidemic	NOUN
cana-3377	36	12	is	be	AUX
cana-3377	36	13	likely	likely	ADJ
cana-3377	36	14	to	to	PART
cana-3377	36	15	grow	grow	VERB
cana-3377	36	16	,	,	PUNCT
cana-3377	36	17	become	become	VERB
cana-3377	36	18	stagnant	stagnant	ADJ
cana-3377	36	19	or	or	CCONJ
cana-3377	36	20	decline	decline	NOUN
cana-3377	36	21	.	.	PUNCT
cana-3377	37	1	inasmuch	inasmuch	ADJ
cana-3377	37	2	as	as	SCONJ
cana-3377	37	3	it	it	PRON
cana-3377	37	4	is	be	AUX
cana-3377	37	5	relevant	relevant	ADJ
cana-3377	37	6	to	to	ADP
cana-3377	37	7	the	the	DET
cana-3377	37	8	present	present	ADJ
cana-3377	37	9	paper	paper	NOUN
cana-3377	37	10	,	,	PUNCT
cana-3377	37	11	it	it	PRON
cana-3377	37	12	is	be	AUX
cana-3377	37	13	useful	useful	ADJ
cana-3377	37	14	to	to	PART
cana-3377	37	15	note	note	VERB
cana-3377	37	16	that	that	SCONJ
cana-3377	37	17	models	model	NOUN
cana-3377	37	18	issue	issue	VERB
cana-3377	37	19	evidencebased	evidencebase	VERB
cana-3377	37	20	predictions	prediction	NOUN
cana-3377	37	21	that	that	PRON
cana-3377	37	22	assist	assist	VERB
cana-3377	37	23	health	health	NOUN
cana-3377	37	24	agencies	agency	NOUN
cana-3377	37	25	in	in	ADP
cana-3377	37	26	mobilization	mobilization	NOUN
cana-3377	37	27	and	and	CCONJ
cana-3377	37	28	resource	resource	NOUN
cana-3377	37	29	deployment	deployment	NOUN
cana-3377	37	30	[	[	X
cana-3377	37	31	10	10	NUM
cana-3377	37	32	]	]	PUNCT
cana-3377	37	33	.	.	PUNCT
cana-3377	38	1	modern	modern	ADJ
cana-3377	38	2	computational	computational	ADJ
cana-3377	38	3	skills	skill	NOUN
cana-3377	38	4	and	and	CCONJ
cana-3377	38	5	large	large	ADJ
cana-3377	38	6	databases	database	NOUN
cana-3377	38	7	have	have	AUX
cana-3377	38	8	enhanced	enhance	VERB
cana-3377	38	9	the	the	DET
cana-3377	38	10	accuracy	accuracy	NOUN
cana-3377	38	11	and	and	CCONJ
cana-3377	38	12	relevance	relevance	NOUN
cana-3377	38	13	of	of	ADP
cana-3377	38	14	epidemiological	epidemiological	ADJ
cana-3377	38	15	models	model	NOUN
cana-3377	38	16	over	over	ADP
cana-3377	38	17	the	the	DET
cana-3377	38	18	past	past	ADJ
cana-3377	38	19	years	year	NOUN
cana-3377	38	20	.	.	PUNCT
cana-3377	39	1	thanks	thank	NOUN
cana-3377	39	2	to	to	ADP
cana-3377	39	3	such	such	ADJ
cana-3377	39	4	approaches	approach	NOUN
cana-3377	39	5	as	as	ADP
cana-3377	39	6	machine	machine	NOUN
cana-3377	39	7	learning	learning	NOUN
cana-3377	39	8	and	and	CCONJ
cana-3377	39	9	artificial	artificial	ADJ
cana-3377	39	10	intelligence	intelligence	NOUN
cana-3377	39	11	,	,	PUNCT
cana-3377	39	12	epidemiologists	epidemiologist	NOUN
cana-3377	39	13	are	be	AUX
cana-3377	39	14	now	now	ADV
cana-3377	39	15	able	able	ADJ
cana-3377	39	16	to	to	PART
cana-3377	39	17	create	create	VERB
cana-3377	39	18	models	model	NOUN
cana-3377	39	19	that	that	PRON
cana-3377	39	20	will	will	AUX
cana-3377	39	21	constantly	constantly	ADV
cana-3377	39	22	adapt	adapt	VERB
cana-3377	39	23	to	to	ADP
cana-3377	39	24	conditions	condition	NOUN
cana-3377	39	25	.	.	PUNCT
cana-3377	40	1	these	these	DET
cana-3377	40	2	tools	tool	NOUN
cana-3377	40	3	increase	increase	VERB
cana-3377	40	4	our	our	PRON
cana-3377	40	5	efficiency	efficiency	NOUN
cana-3377	40	6	in	in	ADP
cana-3377	40	7	early	early	ADJ
cana-3377	40	8	detection	detection	NOUN
cana-3377	40	9	of	of	ADP
cana-3377	40	10	communicable	communicable	NOUN
cana-3377	40	11	diseases	disease	NOUN
cana-3377	40	12	and	and	CCONJ
cana-3377	40	13	reduce	reduce	VERB
cana-3377	40	14	the	the	DET
cana-3377	40	15	effect	effect	NOUN
cana-3377	40	16	of	of	ADP
cana-3377	40	17	the	the	DET
cana-3377	40	18	diseases	disease	NOUN
cana-3377	40	19	to	to	ADP
cana-3377	40	20	society	society	NOUN
cana-3377	40	21	.	.	PUNCT
cana-3377	41	1	in	in	ADP
cana-3377	41	2	this	this	DET
cana-3377	41	3	paper	paper	NOUN
cana-3377	41	4	,	,	PUNCT
cana-3377	41	5	issues	issue	NOUN
cana-3377	41	6	affecting	affect	VERB
cana-3377	41	7	the	the	DET
cana-3377	41	8	involvement	involvement	NOUN
cana-3377	41	9	of	of	ADP
cana-3377	41	10	differential	differential	ADJ
cana-3377	41	11	equations	equation	NOUN
cana-3377	41	12	in	in	ADP
cana-3377	41	13	the	the	DET
cana-3377	41	14	modeling	modeling	NOUN
cana-3377	41	15	of	of	ADP
cana-3377	41	16	spread	spread	NOUN
cana-3377	41	17	of	of	ADP
cana-3377	41	18	infectious	infectious	ADJ
cana-3377	41	19	diseases	disease	NOUN
cana-3377	41	20	vis	vis	X
cana-3377	41	21	-	-	PUNCT
cana-3377	41	22	a	a	DET
cana-3377	41	23	-	-	PUNCT
cana-3377	41	24	via	via	ADP
cana-3377	41	25	the	the	DET
cana-3377	41	26	help	help	NOUN
cana-3377	41	27	they	they	PRON
cana-3377	41	28	offer	offer	VERB
cana-3377	41	29	towards	towards	ADP
cana-3377	41	30	population	population	NOUN
cana-3377	41	31	description	description	NOUN
cana-3377	41	32	and	and	CCONJ
cana-3377	41	33	control	control	NOUN
cana-3377	41	34	will	will	AUX
cana-3377	41	35	be	be	AUX
cana-3377	41	36	discussed	discuss	VERB
cana-3377	41	37	.	.	PUNCT
cana-3377	42	1	our	our	PRON
cana-3377	42	2	purpose	purpose	NOUN
cana-3377	42	3	is	be	AUX
cana-3377	42	4	to	to	PART
cana-3377	42	5	examine	examine	VERB
cana-3377	42	6	the	the	DET
cana-3377	42	7	theoretical	theoretical	ADJ
cana-3377	42	8	concepts	concept	NOUN
cana-3377	42	9	in	in	ADP
cana-3377	42	10	the	the	DET
cana-3377	42	11	sir	sir	NOUN
cana-3377	42	12	and	and	CCONJ
cana-3377	42	13	seir	seir	ADJ
cana-3377	42	14	models	model	NOUN
cana-3377	42	15	,	,	PUNCT
cana-3377	42	16	compare	compare	VERB
cana-3377	42	17	their	their	PRON
cana-3377	42	18	extensions	extension	NOUN
cana-3377	42	19	,	,	PUNCT
cana-3377	42	20	exploring	explore	VERB
cana-3377	42	21	the	the	DET
cana-3377	42	22	applicability	applicability	NOUN
cana-3377	42	23	of	of	ADP
cana-3377	42	24	the	the	DET
cana-3377	42	25	models	model	NOUN
cana-3377	42	26	to	to	ADP
cana-3377	42	27	current	current	ADJ
cana-3377	42	28	epidemiology	epidemiology	NOUN
cana-3377	42	29	,	,	PUNCT
cana-3377	42	30	critically	critically	ADV
cana-3377	42	31	focusing	focus	VERB
cana-3377	42	32	on	on	ADP
cana-3377	42	33	new	new	ADJ
cana-3377	42	34	emerging	emerge	VERB
cana-3377	42	35	diseases	disease	NOUN
cana-3377	42	36	and	and	CCONJ
cana-3377	42	37	global	global	ADJ
cana-3377	42	38	health	health	NOUN
cana-3377	42	39	crises	crisis	NOUN
cana-3377	42	40	[	[	X
cana-3377	42	41	8	8	NUM
cana-3377	42	42	]	]	PUNCT
cana-3377	42	43	.	.	PUNCT
cana-3377	43	1	novelty	novelty	NOUN
cana-3377	43	2	and	and	CCONJ
cana-3377	43	3	contribution	contribution	NOUN
cana-3377	43	4	to	to	ADP
cana-3377	43	5	the	the	DET
cana-3377	43	6	best	good	ADJ
cana-3377	43	7	of	of	ADP
cana-3377	43	8	our	our	PRON
cana-3377	43	9	knowledge	knowledge	NOUN
cana-3377	43	10	,	,	PUNCT
cana-3377	43	11	this	this	DET
cana-3377	43	12	paper	paper	NOUN
cana-3377	43	13	is	be	AUX
cana-3377	43	14	novel	novel	ADJ
cana-3377	43	15	and	and	CCONJ
cana-3377	43	16	relevant	relevant	ADJ
cana-3377	43	17	in	in	SCONJ
cana-3377	43	18	that	that	SCONJ
cana-3377	43	19	it	it	PRON
cana-3377	43	20	provides	provide	VERB
cana-3377	43	21	a	a	DET
cana-3377	43	22	more	more	ADV
cana-3377	43	23	versatile	versatile	ADJ
cana-3377	43	24	framework	framework	NOUN
cana-3377	43	25	for	for	ADP
cana-3377	43	26	synthesizing	synthesize	VERB
cana-3377	43	27	prior	prior	ADJ
cana-3377	43	28	compartmental	compartmental	ADJ
cana-3377	43	29	models	model	NOUN
cana-3377	43	30	,	,	PUNCT
cana-3377	43	31	recent	recent	ADJ
cana-3377	43	32	advancements	advancement	NOUN
cana-3377	43	33	in	in	ADP
cana-3377	43	34	computational	computational	ADJ
cana-3377	43	35	methods	method	NOUN
cana-3377	43	36	,	,	PUNCT
cana-3377	43	37	and	and	CCONJ
cana-3377	43	38	new	new	ADJ
cana-3377	43	39	approaches	approach	NOUN
cana-3377	43	40	based	base	VERB
cana-3377	43	41	on	on	ADP
cana-3377	43	42	the	the	DET
cana-3377	43	43	data	datum	NOUN
cana-3377	43	44	analysis	analysis	NOUN
cana-3377	43	45	method	method	NOUN
cana-3377	43	46	for	for	ADP
cana-3377	43	47	modeling	model	VERB
cana-3377	43	48	the	the	DET
cana-3377	43	49	transmission	transmission	NOUN
cana-3377	43	50	of	of	ADP
cana-3377	43	51	infectious	infectious	ADJ
cana-3377	43	52	diseases	disease	NOUN
cana-3377	43	53	.	.	PUNCT
cana-3377	44	1	while	while	SCONJ
cana-3377	44	2	the	the	DET
cana-3377	44	3	sir	sir	NOUN
cana-3377	44	4	and	and	CCONJ
cana-3377	44	5	seir	seir	ADJ
cana-3377	44	6	equations	equation	NOUN
cana-3377	44	7	serve	serve	VERB
cana-3377	44	8	a	a	DET
cana-3377	44	9	purpose	purpose	NOUN
cana-3377	44	10	in	in	ADP
cana-3377	44	11	special	special	ADJ
cana-3377	44	12	conditions	condition	NOUN
cana-3377	44	13	they	they	PRON
cana-3377	44	14	do	do	AUX
cana-3377	44	15	not	not	PART
cana-3377	44	16	adequately	adequately	ADV
cana-3377	44	17	explain	explain	VERB
cana-3377	44	18	the	the	DET
cana-3377	44	19	real	real	ADJ
cana-3377	44	20	-	-	PUNCT
cana-3377	44	21	world	world	NOUN
cana-3377	44	22	epidemiology	epidemiology	NOUN
cana-3377	44	23	such	such	ADJ
cana-3377	44	24	as	as	ADP
cana-3377	44	25	the	the	DET
cana-3377	44	26	impact	impact	NOUN
cana-3377	44	27	of	of	ADP
cana-3377	44	28	behavior	behavior	NOUN
cana-3377	44	29	,	,	PUNCT
cana-3377	44	30	environment	environment	NOUN
cana-3377	44	31	and	and	CCONJ
cana-3377	44	32	the	the	DET
cana-3377	44	33	population	population	NOUN
cana-3377	44	34	distribution	distribution	NOUN
cana-3377	44	35	.	.	PUNCT
cana-3377	45	1	this	this	DET
cana-3377	45	2	paper	paper	NOUN
cana-3377	45	3	gives	give	VERB
cana-3377	45	4	an	an	DET
cana-3377	45	5	algorithm	algorithm	NOUN
cana-3377	45	6	synthesis	synthesis	NOUN
cana-3377	45	7	that	that	PRON
cana-3377	45	8	will	will	AUX
cana-3377	45	9	incorporate	incorporate	VERB
cana-3377	45	10	more	more	ADJ
cana-3377	45	11	dynamic	dynamic	ADJ
cana-3377	45	12	communications	communication	NOUN
cana-3377	45	13	on	on	ADP
cana-3377	45	14	applied	apply	VERB
cana-3377	45	15	nonlinear	nonlinear	ADJ
cana-3377	45	16	analysis	analysis	NOUN
cana-3377	45	17	issn	issn	NOUN
cana-3377	45	18	:	:	PUNCT
cana-3377	45	19	1074	1074	NUM
cana-3377	45	20	-	-	PUNCT
cana-3377	45	21	133x	133x	NUM
cana-3377	45	22	vol	vol	NOUN
cana-3377	45	23	32	32	NUM
cana-3377	45	24	no	no	NOUN
cana-3377	45	25	.	.	PUNCT
cana-3377	46	1	7s	7	NOUN
cana-3377	46	2	(	(	PUNCT
cana-3377	46	3	2025	2025	NUM
cana-3377	46	4	)	)	PUNCT
cana-3377	46	5	198	198	NUM
cana-3377	46	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3377	46	7	factors	factor	NOUN
cana-3377	46	8	such	such	ADJ
cana-3377	46	9	as	as	ADP
cana-3377	46	10	the	the	DET
cana-3377	46	11	real	real	ADJ
cana-3377	46	12	-	-	PUNCT
cana-3377	46	13	time	time	NOUN
cana-3377	46	14	data	datum	NOUN
cana-3377	46	15	feeds	feed	VERB
cana-3377	46	16	from	from	ADP
cana-3377	46	17	surveillance	surveillance	NOUN
cana-3377	46	18	systems	system	NOUN
cana-3377	46	19	,	,	PUNCT
cana-3377	46	20	giss	giss	NOUN
cana-3377	46	21	,	,	PUNCT
cana-3377	46	22	and	and	CCONJ
cana-3377	46	23	even	even	ADV
cana-3377	46	24	twitting	twit	VERB
cana-3377	46	25	/	/	SYM
cana-3377	46	26	map	map	NOUN
cana-3377	46	27	for	for	ADP
cana-3377	46	28	better	well	ADJ
cana-3377	46	29	visualization	visualization	NOUN
cana-3377	46	30	and	and	CCONJ
cana-3377	46	31	quicker	quick	ADJ
cana-3377	46	32	update	update	NOUN
cana-3377	46	33	of	of	ADP
cana-3377	46	34	the	the	DET
cana-3377	46	35	disease	disease	NOUN
cana-3377	46	36	transmission	transmission	NOUN
cana-3377	46	37	pattern	pattern	NOUN
cana-3377	46	38	.	.	PUNCT
cana-3377	47	1	it	it	PRON
cana-3377	47	2	also	also	ADV
cana-3377	47	3	contains	contain	VERB
cana-3377	47	4	some	some	DET
cana-3377	47	5	new	new	ADJ
cana-3377	47	6	features	feature	NOUN
cana-3377	47	7	of	of	ADP
cana-3377	47	8	this	this	DET
cana-3377	47	9	work	work	NOUN
cana-3377	47	10	,	,	PUNCT
cana-3377	47	11	one	one	NUM
cana-3377	47	12	of	of	ADP
cana-3377	47	13	which	which	PRON
cana-3377	47	14	is	be	AUX
cana-3377	47	15	the	the	DET
cana-3377	47	16	accounting	accounting	NOUN
cana-3377	47	17	for	for	ADP
cana-3377	47	18	the	the	DET
cana-3377	47	19	spatial	spatial	ADJ
cana-3377	47	20	and	and	CCONJ
cana-3377	47	21	temporal	temporal	ADJ
cana-3377	47	22	variables	variable	NOUN
cana-3377	47	23	.	.	PUNCT
cana-3377	48	1	the	the	DET
cana-3377	48	2	conventional	conventional	ADJ
cana-3377	48	3	compartmental	compartmental	NOUN
cana-3377	48	4	models	model	NOUN
cana-3377	48	5	assume	assume	VERB
cana-3377	48	6	a	a	DET
cana-3377	48	7	well	well	ADV
cana-3377	48	8	-	-	PUNCT
cana-3377	48	9	mixed	mix	VERB
cana-3377	48	10	population	population	NOUN
cana-3377	48	11	,	,	PUNCT
cana-3377	48	12	an	an	DET
cana-3377	48	13	idea	idea	NOUN
cana-3377	48	14	that	that	PRON
cana-3377	48	15	indicates	indicate	VERB
cana-3377	48	16	that	that	SCONJ
cana-3377	48	17	any	any	DET
cana-3377	48	18	given	give	VERB
cana-3377	48	19	person	person	NOUN
cana-3377	48	20	has	have	VERB
cana-3377	48	21	equal	equal	ADJ
cana-3377	48	22	likelihood	likelihood	NOUN
cana-3377	48	23	of	of	ADP
cana-3377	48	24	meeting	meet	VERB
cana-3377	48	25	anyone	anyone	PRON
cana-3377	48	26	in	in	ADP
cana-3377	48	27	the	the	DET
cana-3377	48	28	population	population	NOUN
cana-3377	48	29	.	.	PUNCT
cana-3377	49	1	but	but	CCONJ
cana-3377	49	2	the	the	DET
cana-3377	49	3	ways	way	NOUN
cana-3377	49	4	this	this	PRON
cana-3377	49	5	happens	happen	VERB
cana-3377	49	6	in	in	ADP
cana-3377	49	7	real	real	ADJ
cana-3377	49	8	life	life	NOUN
cana-3377	49	9	are	be	AUX
cana-3377	49	10	a	a	DET
cana-3377	49	11	lot	lot	NOUN
cana-3377	49	12	more	more	ADV
cana-3377	49	13	complicated	complicated	ADJ
cana-3377	49	14	.	.	PUNCT
cana-3377	50	1	people	people	NOUN
cana-3377	50	2	are	be	AUX
cana-3377	50	3	also	also	ADV
cana-3377	50	4	positioned	position	VERB
cana-3377	50	5	in	in	ADP
cana-3377	50	6	space	space	NOUN
cana-3377	50	7	,	,	PUNCT
cana-3377	50	8	and	and	CCONJ
cana-3377	50	9	the	the	DET
cana-3377	50	10	related	relate	VERB
cana-3377	50	11	social	social	ADJ
cana-3377	50	12	contacts	contact	NOUN
cana-3377	50	13	may	may	AUX
cana-3377	50	14	or	or	CCONJ
cana-3377	50	15	may	may	AUX
cana-3377	50	16	not	not	PART
cana-3377	50	17	take	take	VERB
cana-3377	50	18	place	place	NOUN
cana-3377	50	19	depending	depend	VERB
cana-3377	50	20	on	on	ADP
cana-3377	50	21	specific	specific	ADJ
cana-3377	50	22	infected	infected	ADJ
cana-3377	50	23	zones	zone	NOUN
cana-3377	50	24	,	,	PUNCT
cana-3377	50	25	people	people	NOUN
cana-3377	50	26	’s	’s	PART
cana-3377	50	27	interactions	interaction	NOUN
cana-3377	50	28	,	,	PUNCT
cana-3377	50	29	and	and	CCONJ
cana-3377	50	30	personal	personal	ADJ
cana-3377	50	31	activity	activity	NOUN
cana-3377	50	32	.	.	PUNCT
cana-3377	51	1	when	when	SCONJ
cana-3377	51	2	spatial	spatial	ADJ
cana-3377	51	3	dynamics	dynamic	NOUN
cana-3377	51	4	are	be	AUX
cana-3377	51	5	incorporated	incorporate	VERB
cana-3377	51	6	into	into	ADP
cana-3377	51	7	the	the	DET
cana-3377	51	8	model	model	NOUN
cana-3377	51	9	,	,	PUNCT
cana-3377	51	10	it	it	PRON
cana-3377	51	11	is	be	AUX
cana-3377	51	12	easier	easy	ADJ
cana-3377	51	13	to	to	PART
cana-3377	51	14	estimate	estimate	VERB
cana-3377	51	15	the	the	DET
cana-3377	51	16	diffusion	diffusion	NOUN
cana-3377	51	17	of	of	ADP
cana-3377	51	18	diseases	disease	NOUN
cana-3377	51	19	in	in	ADP
cana-3377	51	20	and	and	CCONJ
cana-3377	51	21	across	across	ADP
cana-3377	51	22	regions	region	NOUN
cana-3377	51	23	based	base	VERB
cana-3377	51	24	on	on	ADP
cana-3377	51	25	population	population	NOUN
cana-3377	51	26	density	density	NOUN
cana-3377	51	27	,	,	PUNCT
cana-3377	51	28	migration	migration	NOUN
cana-3377	51	29	,	,	PUNCT
cana-3377	51	30	and	and	CCONJ
cana-3377	51	31	localized	localized	ADJ
cana-3377	51	32	measures	measure	NOUN
cana-3377	51	33	.	.	PUNCT
cana-3377	52	1	the	the	DET
cana-3377	52	2	spatial	spatial	ADJ
cana-3377	52	3	expansion	expansion	NOUN
cana-3377	52	4	of	of	ADP
cana-3377	52	5	the	the	DET
cana-3377	52	6	model	model	NOUN
cana-3377	52	7	also	also	ADV
cana-3377	52	8	helps	help	VERB
cana-3377	52	9	in	in	ADP
cana-3377	52	10	making	make	VERB
cana-3377	52	11	better	well	ADJ
cana-3377	52	12	predictions	prediction	NOUN
cana-3377	52	13	in	in	ADP
cana-3377	52	14	the	the	DET
cana-3377	52	15	local	local	ADJ
cana-3377	52	16	,	,	PUNCT
cana-3377	52	17	regional	regional	ADJ
cana-3377	52	18	and	and	CCONJ
cana-3377	52	19	global	global	ADJ
cana-3377	52	20	context	context	NOUN
cana-3377	52	21	to	to	PART
cana-3377	52	22	effectively	effectively	ADV
cana-3377	52	23	manage	manage	VERB
cana-3377	52	24	spread	spread	VERB
cana-3377	52	25	in	in	ADP
cana-3377	52	26	against	against	ADP
cana-3377	52	27	the	the	DET
cana-3377	52	28	health	health	NOUN
cana-3377	52	29	sector	sector	NOUN
cana-3377	52	30	.	.	PUNCT
cana-3377	53	1	last	last	ADJ
cana-3377	53	2	,	,	PUNCT
cana-3377	53	3	this	this	DET
cana-3377	53	4	paper	paper	NOUN
cana-3377	53	5	applies	apply	VERB
cana-3377	53	6	the	the	DET
cana-3377	53	7	presented	present	VERB
cana-3377	53	8	framework	framework	NOUN
cana-3377	53	9	with	with	ADP
cana-3377	53	10	real	real	ADJ
cana-3377	53	11	-	-	PUNCT
cana-3377	53	12	life	life	NOUN
cana-3377	53	13	cases	case	NOUN
cana-3377	53	14	,	,	PUNCT
cana-3377	53	15	including	include	VERB
cana-3377	53	16	covid-19	covid-19	PROPN
cana-3377	53	17	,	,	PUNCT
cana-3377	53	18	to	to	PART
cana-3377	53	19	illustrate	illustrate	VERB
cana-3377	53	20	the	the	DET
cana-3377	53	21	effectiveness	effectiveness	NOUN
cana-3377	53	22	of	of	ADP
cana-3377	53	23	these	these	DET
cana-3377	53	24	improved	improve	VERB
cana-3377	53	25	models	model	NOUN
cana-3377	53	26	by	by	ADP
cana-3377	53	27	applying	apply	VERB
cana-3377	53	28	them	they	PRON
cana-3377	53	29	to	to	ADP
cana-3377	53	30	practical	practical	ADJ
cana-3377	53	31	decision	decision	NOUN
cana-3377	53	32	-	-	PUNCT
cana-3377	53	33	making	making	NOUN
cana-3377	53	34	in	in	ADP
cana-3377	53	35	public	public	ADJ
cana-3377	53	36	health	health	NOUN
cana-3377	53	37	.	.	PUNCT
cana-3377	54	1	in	in	ADP
cana-3377	54	2	these	these	DET
cana-3377	54	3	simulations	simulation	NOUN
cana-3377	54	4	we	we	PRON
cana-3377	54	5	aim	aim	VERB
cana-3377	54	6	to	to	PART
cana-3377	54	7	understand	understand	VERB
cana-3377	54	8	how	how	SCONJ
cana-3377	54	9	successful	successful	ADJ
cana-3377	54	10	different	different	ADJ
cana-3377	54	11	interventions	intervention	NOUN
cana-3377	54	12	are	be	AUX
cana-3377	54	13	including	include	VERB
cana-3377	54	14	mass	mass	ADJ
cana-3377	54	15	vaccination	vaccination	NOUN
cana-3377	54	16	programs	program	NOUN
cana-3377	54	17	,	,	PUNCT
cana-3377	54	18	social	social	ADJ
cana-3377	54	19	isolation	isolation	NOUN
cana-3377	54	20	and	and	CCONJ
cana-3377	54	21	contact	contact	NOUN
cana-3377	54	22	tracing	tracing	NOUN
cana-3377	54	23	.	.	PUNCT
cana-3377	55	1	using	use	VERB
cana-3377	55	2	these	these	DET
cana-3377	55	3	case	case	NOUN
cana-3377	55	4	studies	study	NOUN
cana-3377	55	5	,	,	PUNCT
cana-3377	55	6	we	we	PRON
cana-3377	55	7	illustrate	illustrate	VERB
cana-3377	55	8	how	how	SCONJ
cana-3377	55	9	incorporation	incorporation	NOUN
cana-3377	55	10	of	of	ADP
cana-3377	55	11	analysis	analysis	NOUN
cana-3377	55	12	of	of	ADP
cana-3377	55	13	data	datum	NOUN
cana-3377	55	14	from	from	ADP
cana-3377	55	15	actuality	actuality	NOUN
cana-3377	55	16	and	and	CCONJ
cana-3377	55	17	superior	superior	ADJ
cana-3377	55	18	computational	computational	ADJ
cana-3377	55	19	approaches	approach	NOUN
cana-3377	55	20	can	can	AUX
cana-3377	55	21	aid	aid	VERB
cana-3377	55	22	in	in	ADP
cana-3377	55	23	the	the	DET
cana-3377	55	24	comprehension	comprehension	NOUN
cana-3377	55	25	of	of	ADP
cana-3377	55	26	the	the	DET
cana-3377	55	27	disease	disease	NOUN
cana-3377	55	28	spread	spread	VERB
cana-3377	55	29	as	as	ADV
cana-3377	55	30	well	well	ADV
cana-3377	55	31	as	as	ADP
cana-3377	55	32	soothing	soothe	VERB
cana-3377	55	33	the	the	DET
cana-3377	55	34	effects	effect	NOUN
cana-3377	55	35	on	on	ADP
cana-3377	55	36	population	population	NOUN
cana-3377	55	37	and	and	CCONJ
cana-3377	55	38	health	health	NOUN
cana-3377	55	39	standards	standard	NOUN
cana-3377	55	40	[	[	X
cana-3377	55	41	9	9	NUM
cana-3377	55	42	]	]	PUNCT
cana-3377	55	43	.	.	PUNCT
cana-3377	56	1	in	in	ADP
cana-3377	56	2	summary	summary	NOUN
cana-3377	56	3	,	,	PUNCT
cana-3377	56	4	the	the	DET
cana-3377	56	5	major	major	ADJ
cana-3377	56	6	contributions	contribution	NOUN
cana-3377	56	7	of	of	ADP
cana-3377	56	8	this	this	DET
cana-3377	56	9	work	work	NOUN
cana-3377	56	10	are	be	AUX
cana-3377	56	11	:	:	PUNCT
cana-3377	56	12	•	•	ADP
cana-3377	56	13	which	which	PRON
cana-3377	56	14	includes	include	VERB
cana-3377	56	15	implementation	implementation	NOUN
cana-3377	56	16	of	of	ADP
cana-3377	56	17	real	real	ADJ
cana-3377	56	18	-	-	PUNCT
cana-3377	56	19	time	time	NOUN
cana-3377	56	20	data	datum	NOUN
cana-3377	56	21	feeds	feed	VERB
cana-3377	56	22	for	for	ADP
cana-3377	56	23	instance	instance	NOUN
cana-3377	56	24	surveillance	surveillance	NOUN
cana-3377	56	25	systems	system	NOUN
cana-3377	56	26	and	and	CCONJ
cana-3377	56	27	social	social	ADJ
cana-3377	56	28	networks	network	NOUN
cana-3377	56	29	into	into	ADP
cana-3377	56	30	typical	typical	ADJ
cana-3377	56	31	compartmental	compartmental	ADJ
cana-3377	56	32	models	model	NOUN
cana-3377	56	33	.	.	PUNCT
cana-3377	57	1	•	•	NUM
cana-3377	57	2	the	the	DET
cana-3377	57	3	integration	integration	NOUN
cana-3377	57	4	of	of	ADP
cana-3377	57	5	spatial	spatial	ADJ
cana-3377	57	6	and	and	CCONJ
cana-3377	57	7	temporal	temporal	ADJ
cana-3377	57	8	variables	variable	NOUN
cana-3377	57	9	to	to	PART
cana-3377	57	10	address	address	VERB
cana-3377	57	11	demographic	demographic	ADJ
cana-3377	57	12	variability	variability	NOUN
cana-3377	57	13	and	and	CCONJ
cana-3377	57	14	emergence	emergence	NOUN
cana-3377	57	15	of	of	ADP
cana-3377	57	16	localized	localized	ADJ
cana-3377	57	17	disease	disease	NOUN
cana-3377	57	18	transmission	transmission	NOUN
cana-3377	57	19	.	.	PUNCT
cana-3377	58	1	•	•	NUM
cana-3377	58	2	the	the	DET
cana-3377	58	3	application	application	NOUN
cana-3377	58	4	of	of	ADP
cana-3377	58	5	stochastic	stochastic	ADJ
cana-3377	58	6	differential	differential	ADJ
cana-3377	58	7	equations	equation	NOUN
cana-3377	58	8	to	to	PART
cana-3377	58	9	express	express	VERB
cana-3377	58	10	the	the	DET
cana-3377	58	11	uncertainty	uncertainty	NOUN
cana-3377	58	12	levels	level	NOUN
cana-3377	58	13	and	and	CCONJ
cana-3377	58	14	enhance	enhance	VERB
cana-3377	58	15	the	the	DET
cana-3377	58	16	predictive	predictive	ADJ
cana-3377	58	17	estimates	estimate	NOUN
cana-3377	58	18	under	under	ADP
cana-3377	58	19	diverse	diverse	ADJ
cana-3377	58	20	conditions	condition	NOUN
cana-3377	58	21	.	.	PUNCT
cana-3377	59	1	•	•	NUM
cana-3377	59	2	the	the	DET
cana-3377	59	3	use	use	NOUN
cana-3377	59	4	of	of	ADP
cana-3377	59	5	machine	machine	NOUN
cana-3377	59	6	learning	learning	NOUN
cana-3377	59	7	approaches	approach	NOUN
cana-3377	59	8	targeting	target	VERB
cana-3377	59	9	improvements	improvement	NOUN
cana-3377	59	10	of	of	ADP
cana-3377	59	11	the	the	DET
cana-3377	59	12	epidemiological	epidemiological	ADJ
cana-3377	59	13	models	model	NOUN
cana-3377	59	14	and	and	CCONJ
cana-3377	59	15	the	the	DET
cana-3377	59	16	possibility	possibility	NOUN
cana-3377	59	17	of	of	ADP
cana-3377	59	18	their	their	PRON
cana-3377	59	19	progressive	progressive	ADJ
cana-3377	59	20	update	update	NOUN
cana-3377	59	21	.	.	PUNCT
cana-3377	60	1	•	•	NUM
cana-3377	60	2	the	the	DET
cana-3377	60	3	application	application	NOUN
cana-3377	60	4	of	of	ADP
cana-3377	60	5	these	these	DET
cana-3377	60	6	models	model	NOUN
cana-3377	60	7	by	by	ADP
cana-3377	60	8	distinguishing	distinguish	VERB
cana-3377	60	9	and	and	CCONJ
cana-3377	60	10	providing	provide	VERB
cana-3377	60	11	practical	practical	ADJ
cana-3377	60	12	examples	example	NOUN
cana-3377	60	13	of	of	ADP
cana-3377	60	14	their	their	PRON
cana-3377	60	15	utility	utility	NOUN
cana-3377	60	16	in	in	ADP
cana-3377	60	17	developing	develop	VERB
cana-3377	60	18	case	case	NOUN
cana-3377	60	19	-	-	PUNCT
cana-3377	60	20	specific	specific	ADJ
cana-3377	60	21	interventions	intervention	NOUN
cana-3377	60	22	for	for	ADP
cana-3377	60	23	public	public	ADJ
cana-3377	60	24	health	health	NOUN
cana-3377	60	25	as	as	SCONJ
cana-3377	60	26	evidenced	evidence	VERB
cana-3377	60	27	by	by	ADP
cana-3377	60	28	the	the	DET
cana-3377	60	29	current	current	ADJ
cana-3377	60	30	covid19	covid19	NOUN
cana-3377	60	31	outbreak	outbreak	NOUN
cana-3377	60	32	.	.	PUNCT
cana-3377	61	1	these	these	DET
cana-3377	61	2	contributions	contribution	NOUN
cana-3377	61	3	enhance	enhance	VERB
cana-3377	61	4	this	this	DET
cana-3377	61	5	field	field	NOUN
cana-3377	61	6	of	of	ADP
cana-3377	61	7	i	i	PROPN
cana-3377	61	8	d	d	PROPN
cana-3377	61	9	modelling	modelling	NOUN
cana-3377	61	10	by	by	ADP
cana-3377	61	11	providing	provide	VERB
cana-3377	61	12	a	a	DET
cana-3377	61	13	better	well	ADJ
cana-3377	61	14	,	,	PUNCT
cana-3377	61	15	more	more	ADV
cana-3377	61	16	realistic	realistic	ADJ
cana-3377	61	17	and	and	CCONJ
cana-3377	61	18	more	more	ADV
cana-3377	61	19	versatile	versatile	ADJ
cana-3377	61	20	way	way	NOUN
cana-3377	61	21	of	of	ADP
cana-3377	61	22	managing	manage	VERB
cana-3377	61	23	and	and	CCONJ
cana-3377	61	24	predicting	predict	VERB
cana-3377	61	25	the	the	DET
cana-3377	61	26	occurrence	occurrence	NOUN
cana-3377	61	27	of	of	ADP
cana-3377	61	28	infectious	infectious	ADJ
cana-3377	61	29	diseases	disease	NOUN
cana-3377	61	30	.	.	PUNCT
cana-3377	62	1	section	section	NOUN
cana-3377	62	2	2	2	NUM
cana-3377	62	3	provides	provide	VERB
cana-3377	62	4	a	a	DET
cana-3377	62	5	review	review	NOUN
cana-3377	62	6	of	of	ADP
cana-3377	62	7	relevant	relevant	ADJ
cana-3377	62	8	literature	literature	NOUN
cana-3377	62	9	,	,	PUNCT
cana-3377	62	10	while	while	SCONJ
cana-3377	62	11	section	section	NOUN
cana-3377	62	12	3	3	NUM
cana-3377	62	13	details	detail	NOUN
cana-3377	62	14	the	the	DET
cana-3377	62	15	methodology	methodology	NOUN
cana-3377	62	16	proposed	propose	VERB
cana-3377	62	17	in	in	ADP
cana-3377	62	18	this	this	DET
cana-3377	62	19	study	study	NOUN
cana-3377	62	20	.	.	PUNCT
cana-3377	63	1	section	section	NOUN
cana-3377	63	2	4	4	NUM
cana-3377	63	3	presents	present	VERB
cana-3377	63	4	the	the	DET
cana-3377	63	5	results	result	NOUN
cana-3377	63	6	and	and	CCONJ
cana-3377	63	7	their	their	PRON
cana-3377	63	8	applications	application	NOUN
cana-3377	63	9	,	,	PUNCT
cana-3377	63	10	and	and	CCONJ
cana-3377	63	11	section	section	NOUN
cana-3377	63	12	5	5	NUM
cana-3377	63	13	offers	offer	VERB
cana-3377	63	14	personal	personal	ADJ
cana-3377	63	15	insights	insight	NOUN
cana-3377	63	16	and	and	CCONJ
cana-3377	63	17	suggestions	suggestion	NOUN
cana-3377	63	18	for	for	ADP
cana-3377	63	19	future	future	ADJ
cana-3377	63	20	research	research	NOUN
cana-3377	63	21	.	.	PUNCT
cana-3377	64	1	ii	ii	X
cana-3377	64	2	.	.	PROPN
cana-3377	64	3	related	relate	VERB
cana-3377	64	4	works	work	NOUN
cana-3377	64	5	quantitative	quantitative	ADJ
cana-3377	64	6	analysis	analysis	NOUN
cana-3377	64	7	of	of	ADP
cana-3377	64	8	contagious	contagious	ADJ
cana-3377	64	9	disease	disease	NOUN
cana-3377	64	10	is	be	AUX
cana-3377	64	11	already	already	ADV
cana-3377	64	12	a	a	DET
cana-3377	64	13	research	research	NOUN
cana-3377	64	14	branch	branch	NOUN
cana-3377	64	15	,	,	PUNCT
cana-3377	64	16	and	and	CCONJ
cana-3377	64	17	differences	difference	NOUN
cana-3377	64	18	equation	equation	NOUN
cana-3377	64	19	is	be	AUX
cana-3377	64	20	the	the	DET
cana-3377	64	21	fundamental	fundamental	ADJ
cana-3377	64	22	prerequisite	prerequisite	NOUN
cana-3377	64	23	to	to	PART
cana-3377	64	24	comprehend	comprehend	VERB
cana-3377	64	25	the	the	DET
cana-3377	64	26	emergence	emergence	NOUN
cana-3377	64	27	of	of	ADP
cana-3377	64	28	diseases	disease	NOUN
cana-3377	64	29	and	and	CCONJ
cana-3377	64	30	spread	spread	VERB
cana-3377	64	31	across	across	ADP
cana-3377	64	32	populations	population	NOUN
cana-3377	64	33	.	.	PUNCT
cana-3377	65	1	distinguished	distinguish	VERB
cana-3377	65	2	from	from	ADP
cana-3377	65	3	traditional	traditional	ADJ
cana-3377	65	4	views	view	NOUN
cana-3377	65	5	that	that	PRON
cana-3377	65	6	highlight	highlight	VERB
cana-3377	65	7	the	the	DET
cana-3377	65	8	processes	process	NOUN
cana-3377	65	9	of	of	ADP
cana-3377	65	10	disease	disease	NOUN
cana-3377	65	11	dissemination	dissemination	NOUN
cana-3377	65	12	,	,	PUNCT
cana-3377	65	13	there	there	PRON
cana-3377	65	14	has	have	VERB
cana-3377	65	15	communications	communication	NOUN
cana-3377	65	16	on	on	ADP
cana-3377	65	17	applied	apply	VERB
cana-3377	65	18	nonlinear	nonlinear	ADJ
cana-3377	65	19	analysis	analysis	NOUN
cana-3377	65	20	issn	issn	NOUN
cana-3377	65	21	:	:	PUNCT
cana-3377	65	22	1074	1074	NUM
cana-3377	65	23	-	-	PUNCT
cana-3377	65	24	133x	133x	NUM
cana-3377	65	25	vol	vol	NOUN
cana-3377	65	26	32	32	NUM
cana-3377	65	27	no	no	NOUN
cana-3377	65	28	.	.	PUNCT
cana-3377	66	1	7s	7	NOUN
cana-3377	66	2	(	(	PUNCT
cana-3377	66	3	2025	2025	NUM
cana-3377	66	4	)	)	PUNCT
cana-3377	66	5	199	199	NUM
cana-3377	66	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3377	66	7	been	be	VERB
cana-3377	66	8	much	much	ADJ
cana-3377	66	9	discussion	discussion	NOUN
cana-3377	66	10	on	on	ADP
cana-3377	66	11	models	model	NOUN
cana-3377	66	12	depicting	depict	VERB
cana-3377	66	13	patterns	pattern	NOUN
cana-3377	66	14	of	of	ADP
cana-3377	66	15	disease	disease	NOUN
cana-3377	66	16	transmission	transmission	NOUN
cana-3377	66	17	to	to	PART
cana-3377	66	18	rate	rate	VERB
cana-3377	66	19	epidemics	epidemic	NOUN
cana-3377	66	20	and	and	CCONJ
cana-3377	66	21	pandemic	pandemic	ADJ
cana-3377	66	22	evolution	evolution	NOUN
cana-3377	66	23	,	,	PUNCT
cana-3377	66	24	evaluate	evaluate	VERB
cana-3377	66	25	the	the	DET
cana-3377	66	26	efficiency	efficiency	NOUN
cana-3377	66	27	of	of	ADP
cana-3377	66	28	specific	specific	ADJ
cana-3377	66	29	interferences	interference	NOUN
cana-3377	66	30	,	,	PUNCT
cana-3377	66	31	and	and	CCONJ
cana-3377	66	32	identify	identify	VERB
cana-3377	66	33	indicators	indicator	NOUN
cana-3377	66	34	driving	drive	VERB
cana-3377	66	35	the	the	DET
cana-3377	66	36	disease	disease	NOUN
cana-3377	66	37	transmission	transmission	NOUN
cana-3377	66	38	process	process	NOUN
cana-3377	66	39	.	.	PUNCT
cana-3377	67	1	these	these	DET
cana-3377	67	2	assist	assist	NOUN
cana-3377	67	3	in	in	ADP
cana-3377	67	4	translating	translate	VERB
cana-3377	67	5	the	the	DET
cana-3377	67	6	theoretical	theoretical	NOUN
cana-3377	67	7	into	into	ADP
cana-3377	67	8	real	real	ADJ
cana-3377	67	9	life	life	NOUN
cana-3377	67	10	practices	practice	NOUN
cana-3377	67	11	to	to	PART
cana-3377	67	12	inform	inform	VERB
cana-3377	67	13	decisions	decision	NOUN
cana-3377	67	14	making	make	VERB
cana-3377	67	15	in	in	ADP
cana-3377	67	16	many	many	ADJ
cana-3377	67	17	areas	area	NOUN
cana-3377	67	18	such	such	ADJ
cana-3377	67	19	as	as	ADP
cana-3377	67	20	public	public	ADJ
cana-3377	67	21	health	health	NOUN
cana-3377	67	22	,	,	PUNCT
cana-3377	67	23	vaccinations	vaccination	NOUN
cana-3377	67	24	and	and	CCONJ
cana-3377	67	25	quarantine	quarantine	NOUN
cana-3377	67	26	[	[	X
cana-3377	67	27	22	22	NUM
cana-3377	67	28	]	]	PUNCT
cana-3377	67	29	.	.	PUNCT
cana-3377	68	1	in	in	ADP
cana-3377	68	2	2016	2016	NUM
cana-3377	68	3	vasilenko	vasilenko	NOUN
cana-3377	68	4	,	,	PUNCT
cana-3377	68	5	m.	m.	NOUN
cana-3377	68	6	et	et	PROPN
cana-3377	68	7	.	.	PUNCT
cana-3377	69	1	al	al	PROPN
cana-3377	69	2	.	.	PUNCT
cana-3377	70	1	[	[	X
cana-3377	70	2	18	18	NUM
cana-3377	70	3	]	]	PUNCT
cana-3377	70	4	the	the	DET
cana-3377	70	5	most	most	ADV
cana-3377	70	6	basic	basic	ADJ
cana-3377	70	7	and	and	CCONJ
cana-3377	70	8	popular	popular	ADJ
cana-3377	70	9	modelling	modelling	NOUN
cana-3377	70	10	technique	technique	NOUN
cana-3377	70	11	of	of	ADP
cana-3377	70	12	an	an	DET
cana-3377	70	13	infectious	infectious	ADJ
cana-3377	70	14	disease	disease	NOUN
cana-3377	70	15	is	be	AUX
cana-3377	70	16	the	the	DET
cana-3377	70	17	sir	sir	NOUN
cana-3377	70	18	model	model	NOUN
cana-3377	70	19	for	for	ADP
cana-3377	70	20	susceptible	susceptible	ADJ
cana-3377	70	21	-	-	PUNCT
cana-3377	70	22	infected	infect	VERB
cana-3377	70	23	-	-	PUNCT
cana-3377	70	24	recovered	recover	VERB
cana-3377	70	25	.	.	PUNCT
cana-3377	71	1	the	the	DET
cana-3377	71	2	sir	sir	PROPN
cana-3377	71	3	model	model	NOUN
cana-3377	71	4	represents	represent	VERB
cana-3377	71	5	the	the	DET
cana-3377	71	6	population	population	NOUN
cana-3377	71	7	as	as	SCONJ
cana-3377	71	8	divided	divide	VERB
cana-3377	71	9	into	into	ADP
cana-3377	71	10	three	three	NUM
cana-3377	71	11	compartments	compartment	NOUN
cana-3377	71	12	:	:	PUNCT
cana-3377	71	13	within	within	ADP
cana-3377	71	14	the	the	DET
cana-3377	71	15	population	population	NOUN
cana-3377	71	16	susceptible	susceptible	ADJ
cana-3377	71	17	individuals	individual	NOUN
cana-3377	71	18	are	be	AUX
cana-3377	71	19	those	those	PRON
cana-3377	71	20	who	who	PRON
cana-3377	71	21	were	be	AUX
cana-3377	71	22	not	not	PART
cana-3377	71	23	exposed	expose	VERB
cana-3377	71	24	to	to	ADP
cana-3377	71	25	the	the	DET
cana-3377	71	26	disease	disease	NOUN
cana-3377	71	27	,	,	PUNCT
cana-3377	71	28	infected	infected	ADJ
cana-3377	71	29	people	people	NOUN
cana-3377	71	30	who	who	PRON
cana-3377	71	31	may	may	AUX
cana-3377	71	32	spread	spread	VERB
cana-3377	71	33	the	the	DET
cana-3377	71	34	disease	disease	NOUN
cana-3377	71	35	and	and	CCONJ
cana-3377	71	36	those	those	PRON
cana-3377	71	37	who	who	PRON
cana-3377	71	38	tested	test	VERB
cana-3377	71	39	positive	positive	ADJ
cana-3377	71	40	before	before	ADV
cana-3377	71	41	and	and	CCONJ
cana-3377	71	42	recovered	recover	VERB
cana-3377	71	43	from	from	ADP
cana-3377	71	44	the	the	DET
cana-3377	71	45	disease	disease	NOUN
cana-3377	71	46	but	but	CCONJ
cana-3377	71	47	have	have	VERB
cana-3377	71	48	immunity	immunity	NOUN
cana-3377	71	49	to	to	ADP
cana-3377	71	50	the	the	DET
cana-3377	71	51	disease	disease	NOUN
cana-3377	71	52	.	.	PUNCT
cana-3377	72	1	this	this	DET
cana-3377	72	2	model	model	NOUN
cana-3377	72	3	is	be	AUX
cana-3377	72	4	determined	determine	VERB
cana-3377	72	5	by	by	ADP
cana-3377	72	6	a	a	DET
cana-3377	72	7	system	system	NOUN
cana-3377	72	8	of	of	ADP
cana-3377	72	9	ordinary	ordinary	ADJ
cana-3377	72	10	differential	differential	ADJ
cana-3377	72	11	equations	equation	NOUN
cana-3377	72	12	that	that	PRON
cana-3377	72	13	characterize	characterize	VERB
cana-3377	72	14	the	the	DET
cana-3377	72	15	rate	rate	NOUN
cana-3377	72	16	of	of	ADP
cana-3377	72	17	movement	movement	NOUN
cana-3377	72	18	between	between	ADP
cana-3377	72	19	the	the	DET
cana-3377	72	20	compartments	compartment	NOUN
cana-3377	72	21	versus	versus	ADP
cana-3377	72	22	time	time	NOUN
cana-3377	72	23	.	.	PUNCT
cana-3377	73	1	the	the	DET
cana-3377	73	2	change	change	NOUN
cana-3377	73	3	between	between	ADP
cana-3377	73	4	compartments	compartment	NOUN
cana-3377	73	5	is	be	AUX
cana-3377	73	6	determined	determine	VERB
cana-3377	73	7	by	by	ADP
cana-3377	73	8	certain	certain	ADJ
cana-3377	73	9	rates	rate	NOUN
cana-3377	73	10	such	such	ADJ
cana-3377	73	11	as	as	ADP
cana-3377	73	12	the	the	DET
cana-3377	73	13	infection	infection	NOUN
cana-3377	73	14	or	or	CCONJ
cana-3377	73	15	rate	rate	NOUN
cana-3377	73	16	and	and	CCONJ
cana-3377	73	17	the	the	DET
cana-3377	73	18	recovery	recovery	NOUN
cana-3377	73	19	rate	rate	NOUN
cana-3377	73	20	.	.	PUNCT
cana-3377	74	1	chang	chang	PROPN
cana-3377	74	2	et	et	PROPN
cana-3377	74	3	al	al	PROPN
cana-3377	74	4	have	have	AUX
cana-3377	74	5	used	use	VERB
cana-3377	74	6	the	the	DET
cana-3377	74	7	sir	sir	PROPN
cana-3377	74	8	model	model	NOUN
cana-3377	74	9	successfully	successfully	ADV
cana-3377	74	10	for	for	ADP
cana-3377	74	11	several	several	ADJ
cana-3377	74	12	diseases	disease	NOUN
cana-3377	74	13	such	such	ADJ
cana-3377	74	14	as	as	ADP
cana-3377	74	15	influenza	influenza	NOUN
cana-3377	74	16	,	,	PUNCT
cana-3377	74	17	measles	measle	NOUN
cana-3377	74	18	,	,	PUNCT
cana-3377	74	19	and	and	CCONJ
cana-3377	74	20	smallpox	smallpox	NOUN
cana-3377	74	21	and	and	CCONJ
cana-3377	74	22	the	the	DET
cana-3377	74	23	diseases	disease	NOUN
cana-3377	74	24	affect	affect	VERB
cana-3377	74	25	in	in	ADP
cana-3377	74	26	the	the	DET
cana-3377	74	27	population	population	NOUN
cana-3377	74	28	could	could	AUX
cana-3377	74	29	be	be	AUX
cana-3377	74	30	well	well	ADV
cana-3377	74	31	justified	justify	VERB
cana-3377	74	32	by	by	ADP
cana-3377	74	33	this	this	DET
cana-3377	74	34	compartmental	compartmental	ADJ
cana-3377	74	35	model	model	NOUN
cana-3377	74	36	.	.	PUNCT
cana-3377	75	1	another	another	DET
cana-3377	75	2	set	set	NOUN
cana-3377	75	3	of	of	ADP
cana-3377	75	4	the	the	DET
cana-3377	75	5	most	most	ADV
cana-3377	75	6	important	important	ADJ
cana-3377	75	7	indicators	indicator	NOUN
cana-3377	75	8	of	of	ADP
cana-3377	75	9	the	the	DET
cana-3377	75	10	sir	sir	NOUN
cana-3377	75	11	model	model	NOUN
cana-3377	75	12	is	be	AUX
cana-3377	75	13	the	the	DET
cana-3377	75	14	basic	basic	ADJ
cana-3377	75	15	reproduction	reproduction	NOUN
cana-3377	75	16	number	number	NOUN
cana-3377	75	17	,	,	PUNCT
cana-3377	75	18	or	or	CCONJ
cana-3377	75	19	r₀	r₀	PROPN
cana-3377	75	20	,	,	PUNCT
cana-3377	75	21	which	which	PRON
cana-3377	75	22	shows	show	VERB
cana-3377	75	23	how	how	SCONJ
cana-3377	75	24	many	many	ADJ
cana-3377	75	25	individuals	individual	NOUN
cana-3377	75	26	on	on	ADP
cana-3377	75	27	average	average	ADJ
cana-3377	75	28	are	be	AUX
cana-3377	75	29	infected	infect	VERB
cana-3377	75	30	by	by	ADP
cana-3377	75	31	an	an	DET
cana-3377	75	32	infected	infected	ADJ
cana-3377	75	33	person	person	NOUN
cana-3377	75	34	.	.	PUNCT
cana-3377	76	1	r₀	r₀	PROPN
cana-3377	76	2	is	be	AUX
cana-3377	76	3	the	the	DET
cana-3377	76	4	key	key	ADJ
cana-3377	76	5	marker	marker	NOUN
cana-3377	76	6	of	of	ADP
cana-3377	76	7	whether	whether	SCONJ
cana-3377	76	8	an	an	DET
cana-3377	76	9	epidemic	epidemic	NOUN
cana-3377	76	10	in	in	ADP
cana-3377	76	11	exponentially	exponentially	ADV
cana-3377	76	12	growing	grow	VERB
cana-3377	76	13	or	or	CCONJ
cana-3377	76	14	fading	fade	VERB
cana-3377	76	15	[	[	X
cana-3377	76	16	25	25	NUM
cana-3377	76	17	]	]	PUNCT
cana-3377	76	18	.	.	PUNCT
cana-3377	77	1	in	in	ADP
cana-3377	77	2	2016	2016	NUM
cana-3377	77	3	shi	shi	PROPN
cana-3377	77	4	,	,	PUNCT
cana-3377	77	5	x.	x.	PROPN
cana-3377	77	6	,	,	PUNCT
cana-3377	77	7	li	li	PROPN
cana-3377	77	8	,	,	PUNCT
cana-3377	77	9	b.	b.	PROPN
cana-3377	77	10	et.al	et.al	PROPN
cana-3377	77	11	.	.	PUNCT
cana-3377	78	1	[	[	X
cana-3377	78	2	13	13	NUM
cana-3377	78	3	]	]	SYM
cana-3377	78	4	s	s	VERB
cana-3377	78	5	the	the	DET
cana-3377	78	6	sir	sir	NOUN
cana-3377	78	7	model	model	NOUN
cana-3377	78	8	that	that	PRON
cana-3377	78	9	gives	give	VERB
cana-3377	78	10	useful	useful	ADJ
cana-3377	78	11	insights	insight	NOUN
cana-3377	78	12	for	for	ADP
cana-3377	78	13	modelers	modeler	NOUN
cana-3377	78	14	,	,	PUNCT
cana-3377	78	15	it	it	PRON
cana-3377	78	16	is	be	AUX
cana-3377	78	17	often	often	ADV
cana-3377	78	18	abstracted	abstract	VERB
cana-3377	78	19	from	from	ADP
cana-3377	78	20	reality	reality	NOUN
cana-3377	78	21	as	as	SCONJ
cana-3377	78	22	it	it	PRON
cana-3377	78	23	can	can	AUX
cana-3377	78	24	never	never	ADV
cana-3377	78	25	fully	fully	ADV
cana-3377	78	26	replicate	replicate	VERB
cana-3377	78	27	the	the	DET
cana-3377	78	28	actual	actual	ADJ
cana-3377	78	29	disease	disease	NOUN
cana-3377	78	30	dynamics	dynamic	NOUN
cana-3377	78	31	.	.	PUNCT
cana-3377	79	1	the	the	DET
cana-3377	79	2	model	model	NOUN
cana-3377	79	3	builds	build	VERB
cana-3377	79	4	on	on	ADP
cana-3377	79	5	the	the	DET
cana-3377	79	6	insurance	insurance	NOUN
cana-3377	79	7	that	that	SCONJ
cana-3377	79	8	those	those	PRON
cana-3377	79	9	who	who	PRON
cana-3377	79	10	have	have	AUX
cana-3377	79	11	beaten	beat	VERB
cana-3377	79	12	the	the	DET
cana-3377	79	13	disease	disease	NOUN
cana-3377	79	14	are	be	AUX
cana-3377	79	15	immune	immune	ADJ
cana-3377	79	16	from	from	ADP
cana-3377	79	17	reinfection	reinfection	NOUN
cana-3377	79	18	,	,	PUNCT
cana-3377	79	19	which	which	PRON
cana-3377	79	20	with	with	ADP
cana-3377	79	21	some	some	DET
cana-3377	79	22	diseases	disease	NOUN
cana-3377	79	23	like	like	ADP
cana-3377	79	24	covid	covid	PROPN
cana-3377	79	25	or	or	CCONJ
cana-3377	79	26	flu	flu	NOUN
cana-3377	79	27	is	be	AUX
cana-3377	79	28	not	not	PART
cana-3377	79	29	factual	factual	ADJ
cana-3377	79	30	.	.	PUNCT
cana-3377	80	1	to	to	PART
cana-3377	80	2	overcome	overcome	VERB
cana-3377	80	3	the	the	DET
cana-3377	80	4	above	above	ADJ
cana-3377	80	5	limitation	limitation	NOUN
cana-3377	80	6	,	,	PUNCT
cana-3377	80	7	the	the	DET
cana-3377	80	8	susceptible	susceptible	ADJ
cana-3377	80	9	-	-	PUNCT
cana-3377	80	10	exposedinfected	exposedinfecte	VERB
cana-3377	80	11	-	-	PUNCT
cana-3377	80	12	recovered	recover	VERB
cana-3377	80	13	(	(	PUNCT
cana-3377	80	14	seir	seir	NOUN
cana-3377	80	15	)	)	PUNCT
cana-3377	80	16	model	model	NOUN
cana-3377	80	17	was	be	AUX
cana-3377	80	18	established	establish	VERB
cana-3377	80	19	.	.	PUNCT
cana-3377	81	1	the	the	DET
cana-3377	81	2	new	new	ADJ
cana-3377	81	3	compartment	compartment	NOUN
cana-3377	81	4	added	add	VERB
cana-3377	81	5	to	to	ADP
cana-3377	81	6	the	the	DET
cana-3377	81	7	seir	seir	NOUN
cana-3377	81	8	model	model	NOUN
cana-3377	81	9	is	be	AUX
cana-3377	81	10	the	the	DET
cana-3377	81	11	exposed	expose	VERB
cana-3377	81	12	community	community	NOUN
cana-3377	81	13	which	which	PRON
cana-3377	81	14	is	be	AUX
cana-3377	81	15	not	not	PART
cana-3377	81	16	capable	capable	ADJ
cana-3377	81	17	of	of	ADP
cana-3377	81	18	infecting	infect	VERB
cana-3377	81	19	others	other	NOUN
cana-3377	81	20	but	but	CCONJ
cana-3377	81	21	is	be	AUX
cana-3377	81	22	already	already	ADV
cana-3377	81	23	infected	infect	VERB
cana-3377	81	24	and	and	CCONJ
cana-3377	81	25	distinguishes	distinguish	VERB
cana-3377	81	26	diseases	disease	NOUN
cana-3377	81	27	with	with	ADP
cana-3377	81	28	incubation	incubation	NOUN
cana-3377	81	29	period	period	NOUN
cana-3377	81	30	.	.	PUNCT
cana-3377	82	1	this	this	DET
cana-3377	82	2	model	model	NOUN
cana-3377	82	3	has	have	AUX
cana-3377	82	4	been	be	AUX
cana-3377	82	5	employed	employ	VERB
cana-3377	82	6	in	in	ADP
cana-3377	82	7	diseases	disease	NOUN
cana-3377	82	8	where	where	SCONJ
cana-3377	82	9	the	the	DET
cana-3377	82	10	time	time	NOUN
cana-3377	82	11	to	to	PART
cana-3377	82	12	onset	onset	NOUN
cana-3377	82	13	is	be	AUX
cana-3377	82	14	a	a	DET
cana-3377	82	15	key	key	ADJ
cana-3377	82	16	factor	factor	NOUN
cana-3377	82	17	in	in	ADP
cana-3377	82	18	transmission	transmission	NOUN
cana-3377	82	19	as	as	ADP
cana-3377	82	20	in	in	ADP
cana-3377	82	21	ebola	ebola	NOUN
cana-3377	82	22	disease	disease	NOUN
cana-3377	82	23	.	.	PUNCT
cana-3377	83	1	furthermore	furthermore	ADV
cana-3377	83	2	,	,	PUNCT
cana-3377	83	3	to	to	PART
cana-3377	83	4	analyze	analyze	VERB
cana-3377	83	5	the	the	DET
cana-3377	83	6	impact	impact	NOUN
cana-3377	83	7	of	of	ADP
cana-3377	83	8	vaccination	vaccination	NOUN
cana-3377	83	9	quarantine	quarantine	NOUN
cana-3377	83	10	or	or	CCONJ
cana-3377	83	11	any	any	DET
cana-3377	83	12	other	other	ADJ
cana-3377	83	13	intervention	intervention	NOUN
cana-3377	83	14	factor	factor	NOUN
cana-3377	83	15	on	on	ADP
cana-3377	83	16	diseases	disease	NOUN
cana-3377	83	17	spread	spread	VERB
cana-3377	83	18	the	the	DET
cana-3377	83	19	seir	seir	NOUN
cana-3377	83	20	model	model	NOUN
cana-3377	83	21	can	can	AUX
cana-3377	83	22	be	be	AUX
cana-3377	83	23	easily	easily	ADV
cana-3377	83	24	modified	modify	VERB
cana-3377	83	25	by	by	ADP
cana-3377	83	26	incorporating	incorporate	VERB
cana-3377	83	27	these	these	DET
cana-3377	83	28	parameters	parameter	NOUN
cana-3377	83	29	[	[	X
cana-3377	83	30	23	23	NUM
cana-3377	83	31	]	]	PUNCT
cana-3377	83	32	.	.	PUNCT
cana-3377	84	1	in	in	ADP
cana-3377	84	2	year	year	NOUN
cana-3377	84	3	,	,	PUNCT
cana-3377	84	4	2012	2012	NUM
cana-3377	84	5	brauer	brauer	PROPN
cana-3377	84	6	,	,	PUNCT
cana-3377	84	7	f.	f.	PROPN
cana-3377	84	8	et	et	PROPN
cana-3377	84	9	,	,	PUNCT
cana-3377	84	10	al	al	PROPN
cana-3377	84	11	,	,	PUNCT
cana-3377	84	12	castillo	castillo	PROPN
cana-3377	84	13	-	-	PUNCT
cana-3377	84	14	chavez	chavez	PROPN
cana-3377	84	15	,	,	PUNCT
cana-3377	84	16	c.	c.	PROPN
cana-3377	84	17	et.al	et.al	PROPN
cana-3377	84	18	.	.	PUNCT
cana-3377	85	1	[	[	X
cana-3377	85	2	7	7	X
cana-3377	85	3	]	]	PUNCT
cana-3377	85	4	has	have	AUX
cana-3377	85	5	introduced	introduce	VERB
cana-3377	85	6	network	network	NOUN
cana-3377	85	7	-	-	PUNCT
cana-3377	85	8	based	base	VERB
cana-3377	85	9	approach	approach	NOUN
cana-3377	85	10	for	for	ADP
cana-3377	85	11	the	the	DET
cana-3377	85	12	modeling	modeling	NOUN
cana-3377	85	13	of	of	ADP
cana-3377	85	14	infectious	infectious	ADJ
cana-3377	85	15	diseases	disease	NOUN
cana-3377	85	16	dynamics	dynamic	NOUN
cana-3377	85	17	.	.	PUNCT
cana-3377	86	1	in	in	ADP
cana-3377	86	2	these	these	DET
cana-3377	86	3	models	model	NOUN
cana-3377	86	4	,	,	PUNCT
cana-3377	86	5	people	people	NOUN
cana-3377	86	6	are	be	AUX
cana-3377	86	7	represented	represent	VERB
cana-3377	86	8	as	as	ADP
cana-3377	86	9	points	point	NOUN
cana-3377	86	10	in	in	ADP
cana-3377	86	11	the	the	DET
cana-3377	86	12	network	network	NOUN
cana-3377	86	13	,	,	PUNCT
cana-3377	86	14	interaction	interaction	NOUN
cana-3377	86	15	,	,	PUNCT
cana-3377	86	16	coupling	coupling	NOUN
cana-3377	86	17	or	or	CCONJ
cana-3377	86	18	transfer	transfer	NOUN
cana-3377	86	19	,	,	PUNCT
cana-3377	86	20	while	while	SCONJ
cana-3377	86	21	links	link	NOUN
cana-3377	86	22	are	be	AUX
cana-3377	86	23	between	between	ADP
cana-3377	86	24	nodes	node	NOUN
cana-3377	86	25	.	.	PUNCT
cana-3377	87	1	by	by	ADP
cana-3377	87	2	use	use	NOUN
cana-3377	87	3	of	of	ADP
cana-3377	87	4	disease	disease	NOUN
cana-3377	87	5	spread	spread	NOUN
cana-3377	87	6	models	model	NOUN
cana-3377	87	7	,	,	PUNCT
cana-3377	87	8	scientists	scientist	NOUN
cana-3377	87	9	can	can	AUX
cana-3377	87	10	assess	assess	VERB
cana-3377	87	11	where	where	SCONJ
cana-3377	87	12	infected	infect	VERB
cana-3377	87	13	individuals	individual	NOUN
cana-3377	87	14	with	with	ADP
cana-3377	87	15	the	the	DET
cana-3377	87	16	disease	disease	NOUN
cana-3377	87	17	,	,	PUNCT
cana-3377	87	18	together	together	ADV
cana-3377	87	19	with	with	ADP
cana-3377	87	20	disease	disease	NOUN
cana-3377	87	21	coupled	couple	VERB
cana-3377	87	22	social	social	ADJ
cana-3377	87	23	connections	connection	NOUN
cana-3377	87	24	,	,	PUNCT
cana-3377	87	25	have	have	VERB
cana-3377	87	26	the	the	DET
cana-3377	87	27	highest	high	ADJ
cana-3377	87	28	impact	impact	NOUN
cana-3377	87	29	on	on	ADP
cana-3377	87	30	spread	spread	NOUN
cana-3377	87	31	of	of	ADP
cana-3377	87	32	pathogens	pathogen	NOUN
cana-3377	87	33	,	,	PUNCT
cana-3377	87	34	what	what	DET
cana-3377	87	35	repercussions	repercussion	NOUN
cana-3377	87	36	are	be	AUX
cana-3377	87	37	likely	likely	ADJ
cana-3377	87	38	to	to	PART
cana-3377	87	39	ensue	ensue	VERB
cana-3377	87	40	from	from	ADP
cana-3377	87	41	certain	certain	ADJ
cana-3377	87	42	nodes	node	NOUN
cana-3377	87	43	modification	modification	NOUN
cana-3377	87	44	,	,	PUNCT
cana-3377	87	45	and	and	CCONJ
cana-3377	87	46	effectiveness	effectiveness	NOUN
cana-3377	87	47	of	of	ADP
cana-3377	87	48	contact	contact	NOUN
cana-3377	87	49	tracing	trace	VERB
cana-3377	87	50	in	in	ADP
cana-3377	87	51	preventing	prevent	VERB
cana-3377	87	52	spread	spread	NOUN
cana-3377	87	53	.	.	PUNCT
cana-3377	88	1	these	these	DET
cana-3377	88	2	models	model	NOUN
cana-3377	88	3	are	be	AUX
cana-3377	88	4	particularly	particularly	ADV
cana-3377	88	5	useful	useful	ADJ
cana-3377	88	6	when	when	SCONJ
cana-3377	88	7	the	the	DET
cana-3377	88	8	spread	spread	NOUN
cana-3377	88	9	of	of	ADP
cana-3377	88	10	the	the	DET
cana-3377	88	11	disease	disease	NOUN
cana-3377	88	12	occurs	occur	VERB
cana-3377	88	13	in	in	ADP
cana-3377	88	14	relatively	relatively	ADV
cana-3377	88	15	small	small	ADJ
cana-3377	88	16	and	and	CCONJ
cana-3377	88	17	quite	quite	ADV
cana-3377	88	18	circumscribed	circumscribed	ADJ
cana-3377	88	19	communities	community	NOUN
cana-3377	88	20	as	as	ADP
cana-3377	88	21	with	with	ADP
cana-3377	88	22	stis	stis	NOUN
cana-3377	88	23	or	or	CCONJ
cana-3377	88	24	when	when	SCONJ
cana-3377	88	25	the	the	DET
cana-3377	88	26	transmission	transmission	NOUN
cana-3377	88	27	is	be	AUX
cana-3377	88	28	characterized	characterize	VERB
cana-3377	88	29	by	by	ADP
cana-3377	88	30	well	well	ADV
cana-3377	88	31	-	-	PUNCT
cana-3377	88	32	defined	define	VERB
cana-3377	88	33	path	path	NOUN
cana-3377	88	34	of	of	ADP
cana-3377	88	35	transmission	transmission	NOUN
cana-3377	88	36	as	as	ADP
cana-3377	88	37	in	in	ADP
cana-3377	88	38	the	the	DET
cana-3377	88	39	case	case	NOUN
cana-3377	88	40	of	of	ADP
cana-3377	88	41	tb	tb	ADP
cana-3377	88	42	[	[	X
cana-3377	88	43	19	19	NUM
cana-3377	88	44	]	]	PUNCT
cana-3377	88	45	.	.	PUNCT
cana-3377	89	1	the	the	DET
cana-3377	89	2	covid-19	covid-19	PROPN
cana-3377	89	3	pandemic	pandemic	NOUN
cana-3377	89	4	has	have	AUX
cana-3377	89	5	even	even	ADV
cana-3377	89	6	more	more	ADV
cana-3377	89	7	reinforced	reinforce	VERB
cana-3377	89	8	the	the	DET
cana-3377	89	9	significance	significance	NOUN
cana-3377	89	10	of	of	ADP
cana-3377	89	11	the	the	DET
cana-3377	89	12	use	use	NOUN
cana-3377	89	13	of	of	ADP
cana-3377	89	14	mathematical	mathematical	ADJ
cana-3377	89	15	modeling	modeling	NOUN
cana-3377	89	16	in	in	ADP
cana-3377	89	17	analyzing	analyze	VERB
cana-3377	89	18	the	the	DET
cana-3377	89	19	transmission	transmission	NOUN
cana-3377	89	20	of	of	ADP
cana-3377	89	21	infective	infective	ADJ
cana-3377	89	22	diseases	disease	NOUN
cana-3377	89	23	.	.	PUNCT
cana-3377	90	1	during	during	ADP
cana-3377	90	2	the	the	DET
cana-3377	90	3	covid-19	covid-19	PROPN
cana-3377	90	4	outbreak	outbreak	NOUN
cana-3377	90	5	,	,	PUNCT
cana-3377	90	6	various	various	ADJ
cana-3377	90	7	models	model	NOUN
cana-3377	90	8	were	be	AUX
cana-3377	90	9	developed	develop	VERB
cana-3377	90	10	for	for	ADP
cana-3377	90	11	estimating	estimate	VERB
cana-3377	90	12	disease	disease	NOUN
cana-3377	90	13	severity	severity	NOUN
cana-3377	90	14	,	,	PUNCT
cana-3377	90	15	assessing	assess	VERB
cana-3377	90	16	the	the	DET
cana-3377	90	17	effectiveness	effectiveness	NOUN
cana-3377	90	18	of	of	ADP
cana-3377	90	19	measures	measure	NOUN
cana-3377	90	20	taken	take	VERB
cana-3377	90	21	,	,	PUNCT
cana-3377	90	22	and	and	CCONJ
cana-3377	90	23	covid-19	covid-19	PROPN
cana-3377	90	24	-	-	PUNCT
cana-3377	90	25	related	relate	VERB
cana-3377	90	26	policy	policy	NOUN
cana-3377	90	27	making	making	NOUN
cana-3377	90	28	.	.	PUNCT
cana-3377	91	1	due	due	ADP
cana-3377	91	2	to	to	ADP
cana-3377	91	3	the	the	DET
cana-3377	91	4	nature	nature	NOUN
cana-3377	91	5	of	of	ADP
cana-3377	91	6	covid-19	covid-19	PROPN
cana-3377	91	7	,	,	PUNCT
cana-3377	91	8	it	it	PRON
cana-3377	91	9	became	become	VERB
cana-3377	91	10	critical	critical	ADJ
cana-3377	91	11	to	to	PART
cana-3377	91	12	incorporate	incorporate	VERB
cana-3377	91	13	more	more	ADV
cana-3377	91	14	complex	complex	ADJ
cana-3377	91	15	techniques	technique	NOUN
cana-3377	91	16	to	to	PART
cana-3377	91	17	model	model	VERB
cana-3377	91	18	mobility	mobility	NOUN
cana-3377	91	19	across	across	ADP
cana-3377	91	20	borders	border	NOUN
cana-3377	91	21	,	,	PUNCT
cana-3377	91	22	community	community	NOUN
cana-3377	91	23	interactions	interaction	NOUN
cana-3377	91	24	,	,	PUNCT
cana-3377	91	25	and	and	CCONJ
cana-3377	91	26	communications	communication	NOUN
cana-3377	91	27	on	on	ADP
cana-3377	91	28	applied	apply	VERB
cana-3377	91	29	nonlinear	nonlinear	ADJ
cana-3377	91	30	analysis	analysis	NOUN
cana-3377	91	31	issn	issn	NOUN
cana-3377	91	32	:	:	PUNCT
cana-3377	91	33	1074	1074	NUM
cana-3377	91	34	-	-	PUNCT
cana-3377	91	35	133x	133x	NUM
cana-3377	91	36	vol	vol	NOUN
cana-3377	91	37	32	32	NUM
cana-3377	91	38	no	no	NOUN
cana-3377	91	39	.	.	PUNCT
cana-3377	92	1	7s	7	NOUN
cana-3377	92	2	(	(	PUNCT
cana-3377	92	3	2025	2025	NUM
cana-3377	92	4	)	)	PUNCT
cana-3377	92	5	200	200	NUM
cana-3377	92	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3377	92	7	country	country	NOUN
cana-3377	92	8	vaccination	vaccination	NOUN
cana-3377	92	9	programs	program	NOUN
cana-3377	92	10	.	.	PUNCT
cana-3377	93	1	some	some	PRON
cana-3377	93	2	of	of	ADP
cana-3377	93	3	these	these	DET
cana-3377	93	4	models	model	NOUN
cana-3377	93	5	have	have	AUX
cana-3377	93	6	been	be	AUX
cana-3377	93	7	used	use	VERB
cana-3377	93	8	to	to	PART
cana-3377	93	9	make	make	VERB
cana-3377	93	10	decisions	decision	NOUN
cana-3377	93	11	on	on	ADP
cana-3377	93	12	the	the	DET
cana-3377	93	13	lockdowns	lockdown	NOUN
cana-3377	93	14	,	,	PUNCT
cana-3377	93	15	testing	testing	NOUN
cana-3377	93	16	and	and	CCONJ
cana-3377	93	17	administering	administering	NOUN
cana-3377	93	18	of	of	ADP
cana-3377	93	19	vaccines	vaccine	NOUN
cana-3377	93	20	by	by	ADP
cana-3377	93	21	the	the	DET
cana-3377	93	22	governments	government	NOUN
cana-3377	93	23	.	.	PUNCT
cana-3377	94	1	however	however	ADV
cana-3377	94	2	,	,	PUNCT
cana-3377	94	3	the	the	DET
cana-3377	94	4	pandemic	pandemic	NOUN
cana-3377	94	5	also	also	ADV
cana-3377	94	6	revealed	reveal	VERB
cana-3377	94	7	the	the	DET
cana-3377	94	8	weaknesses	weakness	NOUN
cana-3377	94	9	of	of	ADP
cana-3377	94	10	the	the	DET
cana-3377	94	11	traditional	traditional	ADJ
cana-3377	94	12	models	model	NOUN
cana-3377	94	13	,	,	PUNCT
cana-3377	94	14	especially	especially	ADV
cana-3377	94	15	as	as	SCONJ
cana-3377	94	16	regards	regard	VERB
cana-3377	94	17	the	the	DET
cana-3377	94	18	multiplicative	multiplicative	ADJ
cana-3377	94	19	networks	network	NOUN
cana-3377	94	20	of	of	ADP
cana-3377	94	21	the	the	DET
cana-3377	94	22	relations	relation	NOUN
cana-3377	94	23	between	between	ADP
cana-3377	94	24	people	people	NOUN
cana-3377	94	25	and	and	CCONJ
cana-3377	94	26	the	the	DET
cana-3377	94	27	initiatives	initiative	NOUN
cana-3377	94	28	,	,	PUNCT
cana-3377	94	29	as	as	ADV
cana-3377	94	30	well	well	ADV
cana-3377	94	31	as	as	ADP
cana-3377	94	32	governmental	governmental	ADJ
cana-3377	94	33	policies	policy	NOUN
cana-3377	94	34	.	.	PUNCT
cana-3377	95	1	consequently	consequently	ADV
cana-3377	95	2	,	,	PUNCT
cana-3377	95	3	analysts	analyst	NOUN
cana-3377	95	4	demonstrate	demonstrate	VERB
cana-3377	95	5	the	the	DET
cana-3377	95	6	growing	grow	VERB
cana-3377	95	7	demand	demand	NOUN
cana-3377	95	8	for	for	ADP
cana-3377	95	9	using	use	VERB
cana-3377	95	10	more	more	ADJ
cana-3377	95	11	intricate	intricate	ADJ
cana-3377	95	12	models	model	NOUN
cana-3377	95	13	when	when	SCONJ
cana-3377	95	14	exploring	explore	VERB
cana-3377	95	15	these	these	DET
cana-3377	95	16	intricate	intricate	ADJ
cana-3377	95	17	phenomena	phenomenon	NOUN
cana-3377	95	18	,	,	PUNCT
cana-3377	95	19	which	which	PRON
cana-3377	95	20	may	may	AUX
cana-3377	95	21	include	include	VERB
cana-3377	95	22	a	a	DET
cana-3377	95	23	class	class	NOUN
cana-3377	95	24	of	of	ADP
cana-3377	95	25	combined	combined	ADJ
cana-3377	95	26	analytical	analytical	ADJ
cana-3377	95	27	,	,	PUNCT
cana-3377	95	28	machine	machine	NOUN
cana-3377	95	29	learning	learning	NOUN
cana-3377	95	30	,	,	PUNCT
cana-3377	95	31	data	datum	NOUN
cana-3377	95	32	assimilation	assimilation	NOUN
cana-3377	95	33	,	,	PUNCT
cana-3377	95	34	and	and	CCONJ
cana-3377	95	35	agent	agent	NOUN
cana-3377	95	36	-	-	PUNCT
cana-3377	95	37	based	base	VERB
cana-3377	95	38	models	model	NOUN
cana-3377	95	39	[	[	X
cana-3377	95	40	24	24	NUM
cana-3377	95	41	]	]	PUNCT
cana-3377	95	42	.	.	PUNCT
cana-3377	96	1	to	to	PART
cana-3377	96	2	study	study	VERB
cana-3377	96	3	and	and	CCONJ
cana-3377	96	4	predicting	predict	VERB
cana-3377	96	5	the	the	DET
cana-3377	96	6	behavior	behavior	NOUN
cana-3377	96	7	of	of	ADP
cana-3377	96	8	epidemic	epidemic	NOUN
cana-3377	96	9	processes	process	NOUN
cana-3377	96	10	mathematical	mathematical	ADJ
cana-3377	96	11	models	model	NOUN
cana-3377	96	12	are	be	AUX
cana-3377	96	13	inalienable	inalienable	ADJ
cana-3377	96	14	,	,	PUNCT
cana-3377	96	15	especially	especially	ADV
cana-3377	96	16	differential	differential	ADJ
cana-3377	96	17	ones	one	NOUN
cana-3377	96	18	.	.	PUNCT
cana-3377	97	1	however	however	ADV
cana-3377	97	2	,	,	PUNCT
cana-3377	97	3	as	as	SCONJ
cana-3377	97	4	the	the	DET
cana-3377	97	5	knowledge	knowledge	NOUN
cana-3377	97	6	of	of	ADP
cana-3377	97	7	the	the	DET
cana-3377	97	8	principles	principle	NOUN
cana-3377	97	9	governing	govern	VERB
cana-3377	97	10	diseases	disease	NOUN
cana-3377	97	11	’	'	PUNCT
cana-3377	97	12	spread	spread	VERB
cana-3377	97	13	increases	increase	NOUN
cana-3377	97	14	there	there	PRON
cana-3377	97	15	is	be	VERB
cana-3377	97	16	a	a	DET
cana-3377	97	17	need	need	NOUN
cana-3377	97	18	to	to	PART
cana-3377	97	19	enhance	enhance	VERB
cana-3377	97	20	and	and	CCONJ
cana-3377	97	21	diversify	diversify	VERB
cana-3377	97	22	these	these	DET
cana-3377	97	23	models	model	NOUN
cana-3377	97	24	to	to	PART
cana-3377	97	25	capture	capture	VERB
cana-3377	97	26	additional	additional	ADJ
cana-3377	97	27	factors	factor	NOUN
cana-3377	97	28	like	like	ADP
cana-3377	97	29	human	human	ADJ
cana-3377	97	30	interactions	interaction	NOUN
cana-3377	97	31	,	,	PUNCT
cana-3377	97	32	geography	geography	NOUN
cana-3377	97	33	,	,	PUNCT
cana-3377	97	34	and	and	CCONJ
cana-3377	97	35	current	current	ADJ
cana-3377	97	36	data	datum	NOUN
cana-3377	97	37	.	.	PUNCT
cana-3377	98	1	the	the	DET
cana-3377	98	2	ability	ability	NOUN
cana-3377	98	3	to	to	PART
cana-3377	98	4	choose	choose	VERB
cana-3377	98	5	the	the	DET
cana-3377	98	6	parameters	parameter	NOUN
cana-3377	98	7	for	for	ADP
cana-3377	98	8	a	a	DET
cana-3377	98	9	model	model	NOUN
cana-3377	98	10	,	,	PUNCT
cana-3377	98	11	use	use	VERB
cana-3377	98	12	new	new	ADJ
cana-3377	98	13	techniques	technique	NOUN
cana-3377	98	14	like	like	ADP
cana-3377	98	15	machine	machine	NOUN
cana-3377	98	16	learning	learning	NOUN
cana-3377	98	17	and	and	CCONJ
cana-3377	98	18	agent	agent	NOUN
cana-3377	98	19	-	-	PUNCT
cana-3377	98	20	based	base	VERB
cana-3377	98	21	modeling	modeling	NOUN
cana-3377	98	22	combined	combine	VERB
cana-3377	98	23	with	with	ADP
cana-3377	98	24	conventional	conventional	ADJ
cana-3377	98	25	compartmental	compartmental	ADJ
cana-3377	98	26	models	model	NOUN
cana-3377	98	27	provides	provide	VERB
cana-3377	98	28	promising	promising	ADJ
cana-3377	98	29	opportunities	opportunity	NOUN
cana-3377	98	30	to	to	PART
cana-3377	98	31	enhance	enhance	VERB
cana-3377	98	32	the	the	DET
cana-3377	98	33	applicability	applicability	NOUN
cana-3377	98	34	and	and	CCONJ
cana-3377	98	35	accuracy	accuracy	NOUN
cana-3377	98	36	of	of	ADP
cana-3377	98	37	the	the	DET
cana-3377	98	38	disease	disease	NOUN
cana-3377	98	39	predictions	prediction	NOUN
cana-3377	98	40	,	,	PUNCT
cana-3377	98	41	and	and	CCONJ
cana-3377	98	42	therefore	therefore	ADV
cana-3377	98	43	improve	improve	VERB
cana-3377	98	44	the	the	DET
cana-3377	98	45	health	health	NOUN
cana-3377	98	46	interventions	intervention	NOUN
cana-3377	98	47	[	[	X
cana-3377	98	48	20	20	NUM
cana-3377	98	49	-	-	SYM
cana-3377	98	50	21	21	NUM
cana-3377	98	51	]	]	PUNCT
cana-3377	98	52	.	.	PUNCT
cana-3377	99	1	iii	iii	X
cana-3377	99	2	.	.	PROPN
cana-3377	99	3	proposed	propose	VERB
cana-3377	99	4	methodology	methodology	NOUN
cana-3377	99	5	accurate	accurate	ADJ
cana-3377	99	6	strategy	strategy	NOUN
cana-3377	99	7	modeling	modeling	NOUN
cana-3377	99	8	is	be	AUX
cana-3377	99	9	crucial	crucial	ADJ
cana-3377	99	10	in	in	ADP
cana-3377	99	11	epidemiological	epidemiological	ADJ
cana-3377	99	12	research	research	NOUN
cana-3377	99	13	,	,	PUNCT
cana-3377	99	14	which	which	PRON
cana-3377	99	15	is	be	AUX
cana-3377	99	16	why	why	SCONJ
cana-3377	99	17	the	the	DET
cana-3377	99	18	described	describe	VERB
cana-3377	99	19	work	work	NOUN
cana-3377	99	20	presents	present	VERB
cana-3377	99	21	a	a	DET
cana-3377	99	22	well	well	ADV
cana-3377	99	23	-	-	PUNCT
cana-3377	99	24	structured	structure	VERB
cana-3377	99	25	approach	approach	NOUN
cana-3377	99	26	that	that	PRON
cana-3377	99	27	enables	enable	VERB
cana-3377	99	28	the	the	DET
cana-3377	99	29	development	development	NOUN
cana-3377	99	30	of	of	ADP
cana-3377	99	31	highly	highly	ADV
cana-3377	99	32	reliable	reliable	ADJ
cana-3377	99	33	models	model	NOUN
cana-3377	99	34	for	for	ADP
cana-3377	99	35	predicting	predict	VERB
cana-3377	99	36	the	the	DET
cana-3377	99	37	epidemic	epidemic	NOUN
cana-3377	99	38	’s	’s	PART
cana-3377	99	39	further	further	ADJ
cana-3377	99	40	course	course	NOUN
cana-3377	99	41	,	,	PUNCT
cana-3377	99	42	assessing	assess	VERB
cana-3377	99	43	the	the	DET
cana-3377	99	44	effectiveness	effectiveness	NOUN
cana-3377	99	45	of	of	ADP
cana-3377	99	46	measures	measure	NOUN
cana-3377	99	47	for	for	ADP
cana-3377	99	48	containing	contain	VERB
cana-3377	99	49	its	its	PRON
cana-3377	99	50	spread	spread	NOUN
cana-3377	99	51	,	,	PUNCT
cana-3377	99	52	and	and	CCONJ
cana-3377	99	53	generating	generate	VERB
cana-3377	99	54	recommendations	recommendation	NOUN
cana-3377	99	55	for	for	ADP
cana-3377	99	56	local	local	ADJ
cana-3377	99	57	and	and	CCONJ
cana-3377	99	58	national	national	ADJ
cana-3377	99	59	authorities	authority	NOUN
cana-3377	99	60	.	.	PUNCT
cana-3377	100	1	this	this	DET
cana-3377	100	2	analysis	analysis	NOUN
cana-3377	100	3	incorporates	incorporate	VERB
cana-3377	100	4	the	the	DET
cana-3377	100	5	original	original	ADJ
cana-3377	100	6	basis	basis	NOUN
cana-3377	100	7	of	of	ADP
cana-3377	100	8	the	the	DET
cana-3377	100	9	compartmental	compartmental	ADJ
cana-3377	100	10	models	model	NOUN
cana-3377	100	11	with	with	ADP
cana-3377	100	12	spatial	spatial	ADJ
cana-3377	100	13	aspects	aspect	NOUN
cana-3377	100	14	and	and	CCONJ
cana-3377	100	15	machine	machine	NOUN
cana-3377	100	16	learning	learn	VERB
cana-3377	100	17	to	to	PART
cana-3377	100	18	approximate	approximate	VERB
cana-3377	100	19	the	the	DET
cana-3377	100	20	nature	nature	NOUN
cana-3377	100	21	of	of	ADP
cana-3377	100	22	real	real	ADJ
cana-3377	100	23	disease	disease	NOUN
cana-3377	100	24	transmission	transmission	NOUN
cana-3377	100	25	and	and	CCONJ
cana-3377	100	26	enhance	enhance	VERB
cana-3377	100	27	the	the	DET
cana-3377	100	28	prediction	prediction	NOUN
cana-3377	100	29	models	model	NOUN
cana-3377	100	30	.	.	PUNCT
cana-3377	101	1	this	this	DET
cana-3377	101	2	methodology	methodology	NOUN
cana-3377	101	3	uses	use	VERB
cana-3377	101	4	differential	differential	ADJ
cana-3377	101	5	equations	equation	NOUN
cana-3377	101	6	of	of	ADP
cana-3377	101	7	transmission	transmission	NOUN
cana-3377	101	8	,	,	PUNCT
cana-3377	101	9	incorporate	incorporate	VERB
cana-3377	101	10	spatial	spatial	ADJ
cana-3377	101	11	structures	structure	NOUN
cana-3377	101	12	and	and	CCONJ
cana-3377	101	13	network	network	NOUN
cana-3377	101	14	,	,	PUNCT
cana-3377	101	15	incorporate	incorporate	VERB
cana-3377	101	16	optimization	optimization	NOUN
cana-3377	101	17	and	and	CCONJ
cana-3377	101	18	machine	machine	NOUN
cana-3377	101	19	learning	learning	NOUN
cana-3377	101	20	for	for	ADP
cana-3377	101	21	parameter	parameter	NOUN
cana-3377	101	22	estimation	estimation	NOUN
cana-3377	101	23	and	and	CCONJ
cana-3377	101	24	enhanced	enhance	VERB
cana-3377	101	25	prediction	prediction	NOUN
cana-3377	102	1	[	[	X
cana-3377	102	2	1112	1112	NUM
cana-3377	102	3	]	]	PUNCT
cana-3377	102	4	.	.	PUNCT
cana-3377	103	1	a.	a.	PROPN
cana-3377	103	2	compartmental	compartmental	PROPN
cana-3377	103	3	model	model	PROPN
cana-3377	103	4	with	with	ADP
cana-3377	103	5	differential	differential	ADJ
cana-3377	103	6	equations	equation	NOUN
cana-3377	103	7	to	to	PART
cana-3377	103	8	make	make	VERB
cana-3377	103	9	the	the	DET
cana-3377	103	10	concept	concept	NOUN
cana-3377	103	11	clear	clear	ADJ
cana-3377	103	12	,	,	PUNCT
cana-3377	103	13	the	the	DET
cana-3377	103	14	fundamental	fundamental	ADJ
cana-3377	103	15	for	for	ADP
cana-3377	103	16	development	development	NOUN
cana-3377	103	17	of	of	ADP
cana-3377	103	18	our	our	PRON
cana-3377	103	19	model	model	NOUN
cana-3377	103	20	is	be	AUX
cana-3377	103	21	derived	derive	VERB
cana-3377	103	22	from	from	ADP
cana-3377	103	23	compartmental	compartmental	ADJ
cana-3377	103	24	model	model	NOUN
cana-3377	103	25	employed	employ	VERB
cana-3377	103	26	from	from	ADP
cana-3377	103	27	sir	sir	NOUN
cana-3377	103	28	model	model	NOUN
cana-3377	103	29	in	in	ADP
cana-3377	103	30	epidemiology	epidemiology	NOUN
cana-3377	103	31	research	research	NOUN
cana-3377	103	32	.	.	PUNCT
cana-3377	104	1	this	this	DET
cana-3377	104	2	model	model	NOUN
cana-3377	104	3	divides	divide	VERB
cana-3377	104	4	the	the	DET
cana-3377	104	5	population	population	NOUN
cana-3377	104	6	into	into	ADP
cana-3377	104	7	different	different	ADJ
cana-3377	104	8	compartments	compartment	NOUN
cana-3377	104	9	:	:	PUNCT
cana-3377	104	10	susceptible	susceptible	ADJ
cana-3377	104	11	population	population	NOUN
cana-3377	104	12	(	(	PUNCT
cana-3377	104	13	s	s	NOUN
cana-3377	104	14	)	)	PUNCT
cana-3377	104	15	,	,	PUNCT
cana-3377	104	16	infected	infect	VERB
cana-3377	104	17	population	population	NOUN
cana-3377	104	18	(	(	PUNCT
cana-3377	104	19	i	i	NOUN
cana-3377	104	20	)	)	PUNCT
cana-3377	104	21	and	and	CCONJ
cana-3377	104	22	recovered	recover	VERB
cana-3377	104	23	population	population	NOUN
cana-3377	104	24	(	(	PUNCT
cana-3377	104	25	r	r	NOUN
cana-3377	104	26	)	)	PUNCT
cana-3377	104	27	form	form	NOUN
cana-3377	104	28	three	three	NUM
cana-3377	104	29	categories	category	NOUN
cana-3377	104	30	that	that	PRON
cana-3377	104	31	have	have	AUX
cana-3377	104	32	been	be	AUX
cana-3377	104	33	articulated	articulate	VERB
cana-3377	104	34	.	.	PUNCT
cana-3377	105	1	the	the	DET
cana-3377	105	2	dynamics	dynamic	NOUN
cana-3377	105	3	of	of	ADP
cana-3377	105	4	the	the	DET
cana-3377	105	5	pattern	pattern	NOUN
cana-3377	105	6	of	of	ADP
cana-3377	105	7	disease	disease	NOUN
cana-3377	105	8	incidence	incidence	NOUN
cana-3377	105	9	is	be	AUX
cana-3377	105	10	described	describe	VERB
cana-3377	105	11	by	by	ADP
cana-3377	105	12	the	the	DET
cana-3377	105	13	system	system	NOUN
cana-3377	105	14	of	of	ADP
cana-3377	105	15	differential	differential	ADJ
cana-3377	105	16	equations	equation	NOUN
cana-3377	105	17	that	that	PRON
cana-3377	105	18	quantifies	quantify	VERB
cana-3377	105	19	the	the	DET
cana-3377	105	20	average	average	ADJ
cana-3377	105	21	rate	rate	NOUN
cana-3377	105	22	of	of	ADP
cana-3377	105	23	the	the	DET
cana-3377	105	24	transition	transition	NOUN
cana-3377	105	25	between	between	ADP
cana-3377	105	26	the	the	DET
cana-3377	105	27	compartments	compartment	NOUN
cana-3377	105	28	[	[	X
cana-3377	105	29	15	15	NUM
cana-3377	105	30	]	]	PUNCT
cana-3377	105	31	.	.	PUNCT
cana-3377	106	1	the	the	DET
cana-3377	106	2	basic	basic	ADJ
cana-3377	106	3	set	set	NOUN
cana-3377	106	4	of	of	ADP
cana-3377	106	5	differential	differential	ADJ
cana-3377	106	6	equations	equation	NOUN
cana-3377	106	7	can	can	AUX
cana-3377	106	8	be	be	AUX
cana-3377	106	9	expressed	express	VERB
cana-3377	106	10	as	as	ADP
cana-3377	106	11	:	:	PUNCT
cana-3377	106	12	𝑑𝑆	𝑑𝑆	ADJ
cana-3377	106	13	𝑑𝑡	𝑑𝑡	ADP
cana-3377	106	14	−	−	NOUN
cana-3377	106	15	−𝛽𝑆𝐼	−𝛽𝑆𝐼	NOUN
cana-3377	106	16	𝑑𝐼	𝑑𝐼	NOUN
cana-3377	106	17	𝑑𝑡	𝑑𝑡	ADP
cana-3377	106	18	−	−	PROPN
cana-3377	106	19	𝛽𝑆𝐼	𝛽𝑆𝐼	NOUN
cana-3377	106	20	−	−	PROPN
cana-3377	107	1	𝛾𝐼	𝛾𝐼	PROPN
cana-3377	107	2	𝑑𝑅	𝑑𝑅	VERB
cana-3377	107	3	𝑑𝑡	𝑑𝑡	ADP
cana-3377	107	4	−	−	PROPN
cana-3377	107	5	𝛾𝐼	𝛾𝐼	PROPN
cana-3377	107	6	where	where	SCONJ
cana-3377	107	7	:	:	PUNCT
cana-3377	107	8	communications	communication	NOUN
cana-3377	107	9	on	on	ADP
cana-3377	107	10	applied	apply	VERB
cana-3377	107	11	nonlinear	nonlinear	ADJ
cana-3377	107	12	analysis	analysis	NOUN
cana-3377	107	13	issn	issn	NOUN
cana-3377	107	14	:	:	PUNCT
cana-3377	107	15	1074	1074	NUM
cana-3377	107	16	-	-	PUNCT
cana-3377	107	17	133x	133x	NUM
cana-3377	107	18	vol	vol	NOUN
cana-3377	107	19	32	32	NUM
cana-3377	107	20	no	no	NOUN
cana-3377	107	21	.	.	PUNCT
cana-3377	108	1	7s	7	NOUN
cana-3377	108	2	(	(	PUNCT
cana-3377	108	3	2025	2025	NUM
cana-3377	108	4	)	)	PUNCT
cana-3377	108	5	201	201	NUM
cana-3377	108	6	https://internationalpubls.com	https://internationalpubls.com	SYM
cana-3377	108	7	•	•	PUNCT
cana-3377	108	8	𝑆	𝑆	PROPN
cana-3377	108	9	is	be	AUX
cana-3377	108	10	the	the	DET
cana-3377	108	11	number	number	NOUN
cana-3377	108	12	of	of	ADP
cana-3377	108	13	susceptible	susceptible	ADJ
cana-3377	108	14	individuals	individual	NOUN
cana-3377	108	15	,	,	PUNCT
cana-3377	108	16	•	•	ADP
cana-3377	108	17	𝐼	𝐼	PROPN
cana-3377	108	18	is	be	AUX
cana-3377	108	19	the	the	DET
cana-3377	108	20	number	number	NOUN
cana-3377	108	21	of	of	ADP
cana-3377	108	22	infected	infected	ADJ
cana-3377	108	23	individuals	individual	NOUN
cana-3377	108	24	,	,	PUNCT
cana-3377	108	25	•	•	PUNCT
cana-3377	108	26	𝑅	𝑅	PROPN
cana-3377	108	27	is	be	AUX
cana-3377	108	28	the	the	DET
cana-3377	108	29	number	number	NOUN
cana-3377	108	30	of	of	ADP
cana-3377	108	31	recovered	recovered	ADJ
cana-3377	108	32	individuals	individual	NOUN
cana-3377	108	33	,	,	PUNCT
cana-3377	108	34	•	•	NUM
cana-3377	108	35	𝛽	𝛽	NOUN
cana-3377	108	36	is	be	AUX
cana-3377	108	37	the	the	DET
cana-3377	108	38	rate	rate	NOUN
cana-3377	108	39	of	of	ADP
cana-3377	108	40	transmission	transmission	NOUN
cana-3377	108	41	(	(	PUNCT
cana-3377	108	42	infection	infection	NOUN
cana-3377	108	43	rate	rate	NOUN
cana-3377	108	44	)	)	PUNCT
cana-3377	108	45	,	,	PUNCT
cana-3377	108	46	•	•	NUM
cana-3377	108	47	𝛾	𝛾	NOUN
cana-3377	108	48	is	be	AUX
cana-3377	108	49	the	the	DET
cana-3377	108	50	rate	rate	NOUN
cana-3377	108	51	of	of	ADP
cana-3377	108	52	recovery	recovery	NOUN
cana-3377	108	53	.	.	PUNCT
cana-3377	109	1	these	these	DET
cana-3377	109	2	equations	equation	NOUN
cana-3377	109	3	describe	describe	VERB
cana-3377	109	4	the	the	DET
cana-3377	109	5	behavior	behavior	NOUN
cana-3377	109	6	of	of	ADP
cana-3377	109	7	the	the	DET
cana-3377	109	8	disease	disease	NOUN
cana-3377	109	9	within	within	ADP
cana-3377	109	10	a	a	DET
cana-3377	109	11	population	population	NOUN
cana-3377	109	12	in	in	ADP
cana-3377	109	13	which	which	PRON
cana-3377	109	14	people	people	NOUN
cana-3377	109	15	change	change	VERB
cana-3377	109	16	their	their	PRON
cana-3377	109	17	status	status	NOUN
cana-3377	109	18	from	from	ADP
cana-3377	109	19	susceptible	susceptible	ADJ
cana-3377	109	20	to	to	ADP
cana-3377	109	21	infected	infect	VERB
cana-3377	109	22	,	,	PUNCT
cana-3377	109	23	and	and	CCONJ
cana-3377	109	24	then	then	ADV
cana-3377	109	25	to	to	PART
cana-3377	109	26	recover	recover	VERB
cana-3377	109	27	,	,	PUNCT
cana-3377	109	28	depending	depend	VERB
cana-3377	109	29	on	on	ADP
cana-3377	109	30	the	the	DET
cana-3377	109	31	transmission	transmission	NOUN
cana-3377	109	32	and	and	CCONJ
cana-3377	109	33	recovery	recovery	NOUN
cana-3377	109	34	probabilities	probability	NOUN
cana-3377	109	35	.	.	PUNCT
cana-3377	110	1	b.	b.	PROPN
cana-3377	110	2	add	add	VERB
cana-3377	110	3	all	all	PRON
cana-3377	110	4	to	to	ADP
cana-3377	110	5	seir	seir	ADJ
cana-3377	110	6	and	and	CCONJ
cana-3377	110	7	sirs	sir	NOUN
cana-3377	110	8	models	model	NOUN
cana-3377	110	9	for	for	ADP
cana-3377	110	10	diseases	disease	NOUN
cana-3377	110	11	with	with	ADP
cana-3377	110	12	incubation	incubation	NOUN
cana-3377	110	13	period	period	NOUN
cana-3377	110	14	or	or	CCONJ
cana-3377	110	15	repeated	repeat	VERB
cana-3377	110	16	occurrences	occurrence	NOUN
cana-3377	110	17	of	of	ADP
cana-3377	110	18	the	the	DET
cana-3377	110	19	disease	disease	NOUN
cana-3377	110	20	,	,	PUNCT
cana-3377	110	21	we	we	PRON
cana-3377	110	22	develop	develop	VERB
cana-3377	110	23	an	an	DET
cana-3377	110	24	extended	extended	ADJ
cana-3377	110	25	model	model	NOUN
cana-3377	110	26	with	with	ADP
cana-3377	110	27	exposed	expose	VERB
cana-3377	110	28	(	(	PUNCT
cana-3377	110	29	e	e	NOUN
cana-3377	110	30	)	)	PUNCT
cana-3377	110	31	compartment	compartment	NOUN
cana-3377	110	32	and	and	CCONJ
cana-3377	110	33	susceptible	susceptible	ADJ
cana-3377	110	34	-	-	PUNCT
cana-3377	110	35	infected	infect	VERB
cana-3377	110	36	-	-	PUNCT
cana-3377	110	37	recovered	recover	VERB
cana-3377	110	38	-	-	PUNCT
cana-3377	110	39	susceptible	susceptible	ADJ
cana-3377	110	40	(	(	PUNCT
cana-3377	110	41	sirs	sir	NOUN
cana-3377	110	42	)	)	PUNCT
cana-3377	110	43	compartments	compartment	NOUN
cana-3377	110	44	.	.	PUNCT
cana-3377	111	1	incorporated	incorporate	VERB
cana-3377	111	2	within	within	ADP
cana-3377	111	3	the	the	DET
cana-3377	111	4	seir	seir	ADJ
cana-3377	111	5	model	model	NOUN
cana-3377	111	6	there	there	PRON
cana-3377	111	7	is	be	VERB
cana-3377	111	8	the	the	DET
cana-3377	111	9	chance	chance	NOUN
cana-3377	111	10	for	for	ADP
cana-3377	111	11	an	an	DET
cana-3377	111	12	incubation	incubation	NOUN
cana-3377	111	13	period	period	NOUN
cana-3377	111	14	,	,	PUNCT
cana-3377	111	15	where	where	SCONJ
cana-3377	111	16	people	people	NOUN
cana-3377	111	17	are	be	AUX
cana-3377	111	18	infected	infect	VERB
cana-3377	111	19	by	by	ADP
cana-3377	111	20	the	the	DET
cana-3377	111	21	disease	disease	NOUN
cana-3377	111	22	but	but	CCONJ
cana-3377	111	23	are	be	AUX
cana-3377	111	24	not	not	PART
cana-3377	111	25	capable	capable	ADJ
cana-3377	111	26	of	of	ADP
cana-3377	111	27	infecting	infect	VERB
cana-3377	111	28	other	other	ADJ
cana-3377	111	29	people	people	NOUN
cana-3377	111	30	.	.	PUNCT
cana-3377	112	1	the	the	DET
cana-3377	112	2	sirs	sirs	PROPN
cana-3377	112	3	model	model	NOUN
cana-3377	112	4	also	also	ADV
cana-3377	112	5	has	have	VERB
cana-3377	112	6	the	the	DET
cana-3377	112	7	feature	feature	NOUN
cana-3377	112	8	of	of	ADP
cana-3377	112	9	immunity	immunity	NOUN
cana-3377	112	10	loss	loss	NOUN
cana-3377	112	11	across	across	ADP
cana-3377	112	12	time	time	NOUN
cana-3377	112	13	implying	imply	VERB
cana-3377	112	14	that	that	SCONJ
cana-3377	112	15	a	a	DET
cana-3377	112	16	person	person	NOUN
cana-3377	112	17	can	can	AUX
cana-3377	112	18	be	be	AUX
cana-3377	112	19	re	re	VERB
cana-3377	112	20	-	-	VERB
cana-3377	112	21	infected	infected	ADJ
cana-3377	112	22	[	[	X
cana-3377	112	23	16	16	NUM
cana-3377	112	24	]	]	PUNCT
cana-3377	112	25	.	.	PUNCT
cana-3377	113	1	the	the	DET
cana-3377	113	2	modified	modify	VERB
cana-3377	113	3	set	set	NOUN
cana-3377	113	4	of	of	ADP
cana-3377	113	5	equations	equation	NOUN
cana-3377	113	6	for	for	ADP
cana-3377	113	7	the	the	DET
cana-3377	113	8	seir	seir	NOUN
cana-3377	113	9	model	model	NOUN
cana-3377	113	10	is	be	AUX
cana-3377	113	11	:	:	PUNCT
cana-3377	113	12	𝑑𝑆	𝑑𝑆	ADJ
cana-3377	113	13	𝑑𝑡	𝑑𝑡	ADP
cana-3377	113	14	−	−	NOUN
cana-3377	113	15	−𝛽𝑆𝐼	−𝛽𝑆𝐼	PROPN
cana-3377	113	16	𝑑𝐸	𝑑𝐸	ADV
cana-3377	113	17	𝑑𝑡	𝑑𝑡	ADP
cana-3377	113	18	−	−	PROPN
cana-3377	113	19	𝛽𝑆𝐼	𝛽𝑆𝐼	NOUN
cana-3377	113	20	−	−	PROPN
cana-3377	113	21	𝛼𝐸	𝛼𝐸	NOUN
cana-3377	113	22	𝑑𝐼	𝑑𝐼	ADV
cana-3377	113	23	𝑑𝑡	𝑑𝑡	ADP
cana-3377	113	24	−	−	PROPN
cana-3377	113	25	𝛼𝐸	𝛼𝐸	NOUN
cana-3377	113	26	−	−	ADP
cana-3377	113	27	𝛾𝑰	𝛾𝑰	ADJ
cana-3377	113	28	𝑑𝑅	𝑑𝑅	NOUN
cana-3377	113	29	𝑑𝑡	𝑑𝑡	ADP
cana-3377	113	30	−	−	PROPN
cana-3377	113	31	𝛾𝐼	𝛾𝐼	PROPN
cana-3377	113	32	−	−	PROPN
cana-3377	113	33	𝛿𝑅	𝛿𝑅	PROPN
cana-3377	114	1	where	where	SCONJ
cana-3377	114	2	:	:	PUNCT
cana-3377	114	3	•	•	X
cana-3377	114	4	𝐸	𝐸	PROPN
cana-3377	114	5	is	be	AUX
cana-3377	114	6	the	the	DET
cana-3377	114	7	number	number	NOUN
cana-3377	114	8	of	of	ADP
cana-3377	114	9	exposed	expose	VERB
cana-3377	114	10	individuals	individual	NOUN
cana-3377	114	11	,	,	PUNCT
cana-3377	114	12	•	•	NUM
cana-3377	114	13	𝛼	𝛼	NOUN
cana-3377	114	14	is	be	AUX
cana-3377	114	15	the	the	DET
cana-3377	114	16	rate	rate	NOUN
cana-3377	114	17	at	at	ADP
cana-3377	114	18	which	which	PRON
cana-3377	114	19	exposed	expose	VERB
cana-3377	114	20	individuals	individual	NOUN
cana-3377	114	21	become	become	VERB
cana-3377	114	22	infected	infected	ADJ
cana-3377	114	23	,	,	PUNCT
cana-3377	114	24	•	•	ADP
cana-3377	114	25	𝛿	𝛿	NOUN
cana-3377	114	26	is	be	AUX
cana-3377	114	27	the	the	DET
cana-3377	114	28	rate	rate	NOUN
cana-3377	114	29	at	at	ADP
cana-3377	114	30	which	which	PRON
cana-3377	114	31	immunity	immunity	NOUN
cana-3377	114	32	wanes	wane	VERB
cana-3377	114	33	,	,	PUNCT
cana-3377	114	34	allowing	allow	VERB
cana-3377	114	35	recovered	recover	VERB
cana-3377	114	36	individuals	individual	NOUN
cana-3377	114	37	to	to	PART
cana-3377	114	38	become	become	VERB
cana-3377	114	39	susceptible	susceptible	ADJ
cana-3377	114	40	again	again	ADV
cana-3377	114	41	.	.	PUNCT
cana-3377	115	1	in	in	ADP
cana-3377	115	2	the	the	DET
cana-3377	115	3	sirs	sir	NOUN
cana-3377	115	4	model	model	NOUN
cana-3377	115	5	,	,	PUNCT
cana-3377	115	6	the	the	DET
cana-3377	115	7	differential	differential	ADJ
cana-3377	115	8	equation	equation	NOUN
cana-3377	115	9	for	for	ADP
cana-3377	115	10	susceptible	susceptible	ADJ
cana-3377	115	11	individuals	individual	NOUN
cana-3377	115	12	becomes	become	VERB
cana-3377	115	13	:	:	PUNCT
cana-3377	115	14	𝑑𝑆	𝑑𝑆	ADJ
cana-3377	115	15	𝑑𝑡	𝑑𝑡	ADP
cana-3377	115	16	−	−	PROPN
cana-3377	115	17	−𝛽𝑆𝐼	−𝛽𝑆𝐼	PROPN
cana-3377	116	1	+	+	PROPN
cana-3377	116	2	𝛿𝑅	𝛿𝑅	PROPN
cana-3377	116	3	such	such	ADJ
cana-3377	116	4	diseases	disease	NOUN
cana-3377	116	5	as	as	ADP
cana-3377	116	6	influenza	influenza	NOUN
cana-3377	116	7	can	can	AUX
cana-3377	116	8	hence	hence	ADV
cana-3377	116	9	be	be	AUX
cana-3377	116	10	modeled	model	VERB
cana-3377	116	11	better	well	ADV
cana-3377	116	12	through	through	ADP
cana-3377	116	13	such	such	DET
cana-3377	116	14	a	a	DET
cana-3377	116	15	model	model	NOUN
cana-3377	116	16	since	since	SCONJ
cana-3377	116	17	persons	person	NOUN
cana-3377	116	18	who	who	PRON
cana-3377	116	19	get	get	AUX
cana-3377	116	20	immunized	immunize	VERB
cana-3377	116	21	are	be	AUX
cana-3377	116	22	not	not	PART
cana-3377	116	23	immune	immune	ADJ
cana-3377	116	24	for	for	ADP
cana-3377	116	25	their	their	PRON
cana-3377	116	26	whole	whole	ADJ
cana-3377	116	27	lifetime	lifetime	NOUN
cana-3377	116	28	.	.	PUNCT
cana-3377	117	1	c.	c.	NOUN
cana-3377	117	2	introducing	introduce	VERB
cana-3377	117	3	spatial	spatial	ADJ
cana-3377	117	4	processes	process	NOUN
cana-3377	117	5	to	to	PART
cana-3377	117	6	address	address	VERB
cana-3377	117	7	population	population	NOUN
cana-3377	117	8	and	and	CCONJ
cana-3377	117	9	disease	disease	NOUN
cana-3377	117	10	transmission	transmission	NOUN
cana-3377	117	11	across	across	ADP
cana-3377	117	12	spatial	spatial	ADJ
cana-3377	117	13	locations	location	NOUN
cana-3377	117	14	and	and	CCONJ
cana-3377	117	15	areas	area	NOUN
cana-3377	117	16	,	,	PUNCT
cana-3377	117	17	we	we	PRON
cana-3377	117	18	incorporate	incorporate	VERB
cana-3377	117	19	spatial	spatial	ADJ
cana-3377	117	20	dynamics	dynamic	NOUN
cana-3377	117	21	into	into	ADP
cana-3377	117	22	the	the	DET
cana-3377	117	23	model	model	NOUN
cana-3377	117	24	.	.	PUNCT
cana-3377	118	1	rather	rather	ADV
cana-3377	118	2	than	than	ADP
cana-3377	118	3	implicitly	implicitly	ADV
cana-3377	118	4	assuming	assume	VERB
cana-3377	118	5	that	that	SCONJ
cana-3377	118	6	individuals	individual	NOUN
cana-3377	118	7	are	be	AUX
cana-3377	118	8	uniformly	uniformly	ADV
cana-3377	118	9	communications	communication	NOUN
cana-3377	118	10	on	on	ADP
cana-3377	118	11	applied	apply	VERB
cana-3377	118	12	nonlinear	nonlinear	ADJ
cana-3377	118	13	analysis	analysis	NOUN
cana-3377	118	14	issn	issn	NOUN
cana-3377	118	15	:	:	PUNCT
cana-3377	118	16	1074	1074	NUM
cana-3377	118	17	-	-	PUNCT
cana-3377	118	18	133x	133x	NUM
cana-3377	118	19	vol	vol	NOUN
cana-3377	118	20	32	32	NUM
cana-3377	118	21	no	no	NOUN
cana-3377	118	22	.	.	PUNCT
cana-3377	119	1	7s	7	NOUN
cana-3377	119	2	(	(	PUNCT
cana-3377	119	3	2025	2025	NUM
cana-3377	119	4	)	)	PUNCT
cana-3377	119	5	202	202	NUM
cana-3377	119	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3377	119	7	blended	blend	VERB
cana-3377	119	8	,	,	PUNCT
cana-3377	119	9	in	in	ADP
cana-3377	119	10	this	this	DET
cana-3377	119	11	paper	paper	NOUN
cana-3377	119	12	we	we	PRON
cana-3377	119	13	take	take	VERB
cana-3377	119	14	a	a	DET
cana-3377	119	15	more	more	ADV
cana-3377	119	16	realistic	realistic	ADJ
cana-3377	119	17	approach	approach	NOUN
cana-3377	119	18	and	and	CCONJ
cana-3377	119	19	consider	consider	VERB
cana-3377	119	20	deployment	deployment	NOUN
cana-3377	119	21	of	of	ADP
cana-3377	119	22	individuals	individual	NOUN
cana-3377	119	23	in	in	ADP
cana-3377	119	24	different	different	ADJ
cana-3377	119	25	spatial	spatial	ADJ
cana-3377	119	26	locations	location	NOUN
cana-3377	119	27	and	and	CCONJ
cana-3377	119	28	their	their	PRON
cana-3377	119	29	capability	capability	NOUN
cana-3377	119	30	to	to	PART
cana-3377	119	31	connect	connect	VERB
cana-3377	119	32	with	with	ADP
cana-3377	119	33	other	other	ADJ
cana-3377	119	34	individuals	individual	NOUN
cana-3377	119	35	in	in	ADP
cana-3377	119	36	terms	term	NOUN
cana-3377	119	37	of	of	ADP
cana-3377	119	38	geographic	geographic	ADJ
cana-3377	119	39	position	position	NOUN
cana-3377	119	40	and	and	CCONJ
cana-3377	119	41	transiency	transiency	NOUN
cana-3377	119	42	.	.	PUNCT
cana-3377	120	1	this	this	DET
cana-3377	120	2	extension	extension	NOUN
cana-3377	120	3	is	be	AUX
cana-3377	120	4	especially	especially	ADV
cana-3377	120	5	relevant	relevant	ADJ
cana-3377	120	6	for	for	ADP
cana-3377	120	7	diseases	disease	NOUN
cana-3377	120	8	whose	whose	DET
cana-3377	120	9	transmission	transmission	NOUN
cana-3377	120	10	rates	rate	NOUN
cana-3377	120	11	depend	depend	VERB
cana-3377	120	12	on	on	ADP
cana-3377	120	13	the	the	DET
cana-3377	120	14	density	density	NOUN
cana-3377	120	15	and	and	CCONJ
cana-3377	120	16	movement	movement	NOUN
cana-3377	120	17	of	of	ADP
cana-3377	120	18	people	people	NOUN
cana-3377	120	19	within	within	ADP
cana-3377	120	20	certain	certain	ADJ
cana-3377	120	21	geographic	geographic	ADJ
cana-3377	120	22	regions	region	NOUN
cana-3377	120	23	such	such	ADJ
cana-3377	120	24	as	as	ADP
cana-3377	120	25	malaria	malaria	NOUN
cana-3377	120	26	,	,	PUNCT
cana-3377	120	27	zika	zika	X
cana-3377	120	28	virus	virus	NOUN
cana-3377	120	29	and	and	CCONJ
cana-3377	120	30	covid-19	covid-19	PROPN
cana-3377	121	1	[	[	X
cana-3377	121	2	14	14	NUM
cana-3377	121	3	]	]	PUNCT
cana-3377	121	4	.	.	PUNCT
cana-3377	122	1	a	a	DET
cana-3377	122	2	system	system	NOUN
cana-3377	122	3	of	of	ADP
cana-3377	122	4	pdes	pde	NOUN
cana-3377	122	5	that	that	PRON
cana-3377	122	6	describes	describe	VERB
cana-3377	122	7	the	the	DET
cana-3377	122	8	temporal	temporal	ADJ
cana-3377	122	9	evolution	evolution	NOUN
cana-3377	122	10	of	of	ADP
cana-3377	122	11	the	the	DET
cana-3377	122	12	number	number	NOUN
cana-3377	122	13	of	of	ADP
cana-3377	122	14	susceptible	susceptible	ADJ
cana-3377	122	15	,	,	PUNCT
cana-3377	122	16	exposed	expose	VERB
cana-3377	122	17	,	,	PUNCT
cana-3377	122	18	infected	infected	ADJ
cana-3377	122	19	and	and	CCONJ
cana-3377	122	20	recovered	recovered	ADJ
cana-3377	122	21	cases	case	NOUN
cana-3377	122	22	can	can	AUX
cana-3377	122	23	be	be	AUX
cana-3377	122	24	employed	employ	VERB
cana-3377	122	25	to	to	PART
cana-3377	122	26	study	study	VERB
cana-3377	122	27	the	the	DET
cana-3377	122	28	dispersion	dispersion	NOUN
cana-3377	122	29	of	of	ADP
cana-3377	122	30	the	the	DET
cana-3377	122	31	disease	disease	NOUN
cana-3377	122	32	in	in	ADP
cana-3377	122	33	space	space	NOUN
cana-3377	122	34	.	.	PUNCT
cana-3377	123	1	for	for	ADP
cana-3377	123	2	example	example	NOUN
cana-3377	123	3	,	,	PUNCT
cana-3377	123	4	the	the	DET
cana-3377	123	5	pde	pde	NOUN
cana-3377	123	6	for	for	ADP
cana-3377	123	7	susceptible	susceptible	ADJ
cana-3377	123	8	individuals	individual	NOUN
cana-3377	123	9	at	at	ADP
cana-3377	123	10	a	a	DET
cana-3377	123	11	particular	particular	ADJ
cana-3377	123	12	location	location	NOUN
cana-3377	123	13	can	can	AUX
cana-3377	123	14	be	be	AUX
cana-3377	123	15	written	write	VERB
cana-3377	123	16	as	as	ADP
cana-3377	123	17	:	:	PUNCT
cana-3377	123	18	𝜕𝑆(𝑥	𝜕𝑆(𝑥	NUM
cana-3377	123	19	,	,	PUNCT
cana-3377	123	20	𝑡	𝑡	NOUN
cana-3377	123	21	)	)	PUNCT
cana-3377	123	22	𝜕𝑡	𝜕𝑡	NOUN
cana-3377	123	23	−	−	PROPN
cana-3377	123	24	−𝛽𝑆(𝑥	−𝛽𝑆(𝑥	PROPN
cana-3377	123	25	,	,	PUNCT
cana-3377	123	26	𝑡)𝐼(𝑥	𝑡)𝐼(𝑥	PROPN
cana-3377	123	27	,	,	PUNCT
cana-3377	123	28	𝑡	𝑡	PROPN
cana-3377	123	29	)	)	PUNCT
cana-3377	123	30	+	+	CCONJ
cana-3377	123	31	𝐷𝑆∇2𝑆(𝑥	𝐷𝑆∇2𝑆(𝑥	NUM
cana-3377	123	32	,	,	PUNCT
cana-3377	123	33	𝑡	𝑡	NOUN
cana-3377	123	34	)	)	PUNCT
cana-3377	123	35	where	where	SCONJ
cana-3377	123	36	:	:	PUNCT
cana-3377	123	37	•	•	NUM
cana-3377	123	38	𝑆(𝑥	𝑆(𝑥	NUM
cana-3377	123	39	,	,	PUNCT
cana-3377	123	40	𝑡	𝑡	NOUN
cana-3377	123	41	)	)	PUNCT
cana-3377	123	42	represents	represent	VERB
cana-3377	123	43	the	the	DET
cana-3377	123	44	number	number	NOUN
cana-3377	123	45	of	of	ADP
cana-3377	123	46	susceptible	susceptible	ADJ
cana-3377	123	47	individuals	individual	NOUN
cana-3377	123	48	at	at	ADP
cana-3377	123	49	location	location	NOUN
cana-3377	123	50	𝑥	𝑥	NOUN
cana-3377	123	51	and	and	CCONJ
cana-3377	123	52	time	time	NOUN
cana-3377	123	53	𝑡	𝑡	NOUN
cana-3377	123	54	,	,	PUNCT
cana-3377	123	55	•	•	ADP
cana-3377	123	56	𝐼(𝑥	𝐼(𝑥	X
cana-3377	123	57	,	,	PUNCT
cana-3377	123	58	𝑡	𝑡	NOUN
cana-3377	123	59	)	)	PUNCT
cana-3377	123	60	represents	represent	VERB
cana-3377	123	61	the	the	DET
cana-3377	123	62	number	number	NOUN
cana-3377	123	63	of	of	ADP
cana-3377	123	64	infected	infected	ADJ
cana-3377	123	65	individuals	individual	NOUN
cana-3377	123	66	at	at	ADP
cana-3377	123	67	location	location	NOUN
cana-3377	123	68	𝑥	𝑥	NOUN
cana-3377	123	69	and	and	CCONJ
cana-3377	123	70	time	time	NOUN
cana-3377	123	71	𝑡	𝑡	NOUN
cana-3377	123	72	,	,	PUNCT
cana-3377	123	73	•	•	DET
cana-3377	123	74	𝐷𝑆	𝐷𝑆	PROPN
cana-3377	123	75	is	be	AUX
cana-3377	123	76	the	the	DET
cana-3377	123	77	diffusion	diffusion	NOUN
cana-3377	123	78	coefficient	coefficient	NOUN
cana-3377	123	79	,	,	PUNCT
cana-3377	123	80	representing	represent	VERB
cana-3377	123	81	the	the	DET
cana-3377	123	82	movement	movement	NOUN
cana-3377	123	83	of	of	ADP
cana-3377	123	84	susceptible	susceptible	ADJ
cana-3377	123	85	individuals	individual	NOUN
cana-3377	123	86	across	across	ADP
cana-3377	123	87	space	space	NOUN
cana-3377	123	88	,	,	PUNCT
cana-3377	123	89	•	•	NUM
cana-3377	123	90	∇2𝑆(𝑥	∇2𝑆(𝑥	PROPN
cana-3377	123	91	,	,	PUNCT
cana-3377	123	92	𝑡	𝑡	NOUN
cana-3377	123	93	)	)	PUNCT
cana-3377	123	94	is	be	AUX
cana-3377	123	95	the	the	DET
cana-3377	123	96	spatial	spatial	ADJ
cana-3377	123	97	diffusion	diffusion	NOUN
cana-3377	123	98	term	term	NOUN
cana-3377	123	99	,	,	PUNCT
cana-3377	123	100	which	which	PRON
cana-3377	123	101	accounts	account	VERB
cana-3377	123	102	for	for	ADP
cana-3377	123	103	the	the	DET
cana-3377	123	104	movement	movement	NOUN
cana-3377	123	105	of	of	ADP
cana-3377	123	106	individuals	individual	NOUN
cana-3377	123	107	across	across	ADP
cana-3377	123	108	locations	location	NOUN
cana-3377	123	109	.	.	PUNCT
cana-3377	124	1	again	again	ADV
cana-3377	124	2	,	,	PUNCT
cana-3377	124	3	analogous	analogous	ADJ
cana-3377	124	4	equations	equation	NOUN
cana-3377	124	5	are	be	AUX
cana-3377	124	6	obtained	obtain	VERB
cana-3377	124	7	for	for	ADP
cana-3377	124	8	exposed	expose	VERB
cana-3377	124	9	,	,	PUNCT
cana-3377	124	10	infected	infected	ADJ
cana-3377	124	11	,	,	PUNCT
cana-3377	124	12	and	and	CCONJ
cana-3377	124	13	recovered	recover	VERB
cana-3377	124	14	individuals	individual	NOUN
cana-3377	124	15	to	to	PART
cana-3377	124	16	reflect	reflect	VERB
cana-3377	124	17	the	the	DET
cana-3377	124	18	diffusion	diffusion	NOUN
cana-3377	124	19	of	of	ADP
cana-3377	124	20	the	the	DET
cana-3377	124	21	disease	disease	NOUN
cana-3377	124	22	among	among	ADP
cana-3377	124	23	different	different	ADJ
cana-3377	124	24	areas	area	NOUN
cana-3377	124	25	.	.	PUNCT
cana-3377	125	1	the	the	DET
cana-3377	125	2	incorporation	incorporation	NOUN
cana-3377	125	3	of	of	ADP
cana-3377	125	4	spatial	spatial	ADJ
cana-3377	125	5	dynamics	dynamic	NOUN
cana-3377	125	6	enhances	enhance	VERB
cana-3377	125	7	the	the	DET
cana-3377	125	8	credibility	credibility	NOUN
cana-3377	125	9	of	of	ADP
cana-3377	125	10	the	the	DET
cana-3377	125	11	model	model	NOUN
cana-3377	125	12	and	and	CCONJ
cana-3377	125	13	the	the	DET
cana-3377	125	14	correspondingly	correspondingly	ADV
cana-3377	125	15	greater	great	ADJ
cana-3377	125	16	level	level	NOUN
cana-3377	125	17	of	of	ADP
cana-3377	125	18	realism	realism	NOUN
cana-3377	125	19	in	in	ADP
cana-3377	125	20	disease	disease	NOUN
cana-3377	125	21	diffusion	diffusion	NOUN
cana-3377	125	22	.	.	PUNCT
cana-3377	126	1	d.	d.	PROPN
cana-3377	126	2	data	data	PROPN
cana-3377	126	3	-	-	PUNCT
cana-3377	126	4	driven	drive	VERB
cana-3377	126	5	approach	approach	NOUN
cana-3377	126	6	and	and	CCONJ
cana-3377	126	7	machine	machine	NOUN
cana-3377	126	8	learning	learn	VERB
cana-3377	126	9	integration	integration	NOUN
cana-3377	126	10	to	to	PART
cana-3377	126	11	increase	increase	VERB
cana-3377	126	12	the	the	DET
cana-3377	126	13	accuracy	accuracy	NOUN
cana-3377	126	14	of	of	ADP
cana-3377	126	15	this	this	DET
cana-3377	126	16	model	model	NOUN
cana-3377	126	17	and	and	CCONJ
cana-3377	126	18	real	real	ADJ
cana-3377	126	19	time	time	NOUN
cana-3377	126	20	now	now	ADV
cana-3377	126	21	casting	cast	VERB
cana-3377	126	22	,	,	PUNCT
cana-3377	126	23	we	we	PRON
cana-3377	126	24	incorporate	incorporate	VERB
cana-3377	126	25	artificial	artificial	ADJ
cana-3377	126	26	intelligence	intelligence	NOUN
cana-3377	126	27	that	that	PRON
cana-3377	126	28	enables	enable	VERB
cana-3377	126	29	re	re	AUX
cana-3377	126	30	tuning	tune	VERB
cana-3377	126	31	of	of	ADP
cana-3377	126	32	these	these	DET
cana-3377	126	33	parameters	parameter	NOUN
cana-3377	126	34	.	.	PUNCT
cana-3377	127	1	the	the	DET
cana-3377	127	2	classical	classical	ADJ
cana-3377	127	3	spatial	spatial	ADJ
cana-3377	127	4	models	model	NOUN
cana-3377	127	5	use	use	VERB
cana-3377	127	6	quite	quite	ADV
cana-3377	127	7	assiduous	assiduous	ADJ
cana-3377	127	8	parameters	parameter	NOUN
cana-3377	127	9	that	that	PRON
cana-3377	127	10	are	be	AUX
cana-3377	127	11	constant	constant	ADJ
cana-3377	127	12	;	;	PUNCT
cana-3377	127	13	they	they	PRON
cana-3377	127	14	include	include	VERB
cana-3377	127	15	β	β	NOUN
cana-3377	127	16	for	for	ADP
cana-3377	127	17	infection	infection	NOUN
cana-3377	127	18	rate	rate	NOUN
cana-3377	127	19	,	,	PUNCT
cana-3377	127	20	and	and	CCONJ
cana-3377	127	21	γ	γ	NOUN
cana-3377	127	22	for	for	ADP
cana-3377	127	23	the	the	DET
cana-3377	127	24	recovery	recovery	NOUN
cana-3377	127	25	rate	rate	NOUN
cana-3377	127	26	,	,	PUNCT
cana-3377	127	27	given	give	VERB
cana-3377	127	28	that	that	SCONJ
cana-3377	127	29	these	these	PRON
cana-3377	127	30	might	might	AUX
cana-3377	127	31	change	change	VERB
cana-3377	127	32	during	during	ADP
cana-3377	127	33	the	the	DET
cana-3377	127	34	intervention	intervention	NOUN
cana-3377	127	35	,	,	PUNCT
cana-3377	127	36	demographic	demographic	ADJ
cana-3377	127	37	shifts	shift	NOUN
cana-3377	127	38	,	,	PUNCT
cana-3377	127	39	or	or	CCONJ
cana-3377	127	40	identification	identification	NOUN
cana-3377	127	41	of	of	ADP
cana-3377	127	42	new	new	ADJ
cana-3377	127	43	strains	strain	NOUN
cana-3377	127	44	.	.	PUNCT
cana-3377	128	1	machine	machine	NOUN
cana-3377	128	2	learning	learning	NOUN
cana-3377	128	3	enables	enable	VERB
cana-3377	128	4	determination	determination	NOUN
cana-3377	128	5	as	as	ADV
cana-3377	128	6	well	well	ADV
cana-3377	128	7	as	as	ADP
cana-3377	128	8	the	the	DET
cana-3377	128	9	update	update	NOUN
cana-3377	128	10	of	of	ADP
cana-3377	128	11	these	these	DET
cana-3377	128	12	parameters	parameter	NOUN
cana-3377	128	13	using	use	VERB
cana-3377	128	14	real	real	ADJ
cana-3377	128	15	-	-	PUNCT
cana-3377	128	16	time	time	NOUN
cana-3377	128	17	data	datum	NOUN
cana-3377	128	18	.	.	PUNCT
cana-3377	129	1	thus	thus	ADV
cana-3377	129	2	,	,	PUNCT
cana-3377	129	3	we	we	PRON
cana-3377	129	4	are	be	AUX
cana-3377	129	5	going	go	VERB
cana-3377	129	6	to	to	PART
cana-3377	129	7	make	make	VERB
cana-3377	129	8	use	use	NOUN
cana-3377	129	9	bayesian	bayesian	NOUN
cana-3377	129	10	inference	inference	NOUN
cana-3377	129	11	to	to	PART
cana-3377	129	12	estimate	estimate	VERB
cana-3377	129	13	the	the	DET
cana-3377	129	14	parameters	parameter	NOUN
cana-3377	129	15	of	of	ADP
cana-3377	129	16	the	the	DET
cana-3377	129	17	model	model	NOUN
cana-3377	129	18	.	.	PUNCT
cana-3377	130	1	bayesian	bayesian	NOUN
cana-3377	130	2	methods	method	NOUN
cana-3377	130	3	given	give	VERB
cana-3377	130	4	above	above	ADP
cana-3377	130	5	a	a	DET
cana-3377	130	6	form	form	NOUN
cana-3377	130	7	of	of	ADP
cana-3377	130	8	probabilistic	probabilistic	ADJ
cana-3377	130	9	modeling	modeling	NOUN
cana-3377	130	10	that	that	PRON
cana-3377	130	11	enables	enable	VERB
cana-3377	130	12	an	an	DET
cana-3377	130	13	update	update	NOUN
cana-3377	130	14	of	of	ADP
cana-3377	130	15	the	the	DET
cana-3377	130	16	parameters	parameter	NOUN
cana-3377	130	17	when	when	SCONJ
cana-3377	130	18	new	new	ADJ
cana-3377	130	19	data	datum	NOUN
cana-3377	130	20	such	such	ADJ
cana-3377	130	21	as	as	ADP
cana-3377	130	22	the	the	DET
cana-3377	130	23	new	new	ADJ
cana-3377	130	24	number	number	NOUN
cana-3377	130	25	of	of	ADP
cana-3377	130	26	daily	daily	ADJ
cana-3377	130	27	infections	infection	NOUN
cana-3377	130	28	or	or	CCONJ
cana-3377	130	29	hospitalization	hospitalization	NOUN
cana-3377	130	30	is	be	AUX
cana-3377	130	31	available	available	ADJ
cana-3377	130	32	.	.	PUNCT
cana-3377	131	1	this	this	PRON
cana-3377	131	2	can	can	AUX
cana-3377	131	3	be	be	AUX
cana-3377	131	4	represented	represent	VERB
cana-3377	131	5	as	as	ADP
cana-3377	131	6	:	:	PUNCT
cana-3377	131	7	𝑃(𝜃	𝑃(𝜃	NUM
cana-3377	131	8	∣	∣	PROPN
cana-3377	131	9	data	datum	NOUN
cana-3377	131	10	)	)	PUNCT
cana-3377	131	11	∝	∝	PROPN
cana-3377	131	12	𝑃	𝑃	PROPN
cana-3377	131	13	(	(	PUNCT
cana-3377	131	14	data	datum	NOUN
cana-3377	131	15	∣	∣	PROPN
cana-3377	131	16	𝜃)𝑃(𝜃	𝜃)𝑃(𝜃	NOUN
cana-3377	131	17	)	)	PUNCT
cana-3377	131	18	where	where	SCONJ
cana-3377	131	19	:	:	PUNCT
cana-3377	131	20	•	•	NUM
cana-3377	131	21	𝑃(𝜃	𝑃(𝜃	NUM
cana-3377	131	22	∣	∣	ADJ
cana-3377	131	23	data	datum	NOUN
cana-3377	131	24	)	)	PUNCT
cana-3377	131	25	is	be	AUX
cana-3377	131	26	the	the	DET
cana-3377	131	27	posterior	posterior	ADJ
cana-3377	131	28	distribution	distribution	NOUN
cana-3377	131	29	of	of	ADP
cana-3377	131	30	the	the	DET
cana-3377	131	31	parameters	parameter	NOUN
cana-3377	131	32	given	give	VERB
cana-3377	131	33	the	the	DET
cana-3377	131	34	data	datum	NOUN
cana-3377	131	35	,	,	PUNCT
cana-3377	131	36	•	•	ADP
cana-3377	131	37	𝑃	𝑃	PROPN
cana-3377	131	38	(	(	PUNCT
cana-3377	131	39	data	datum	NOUN
cana-3377	131	40	∣	∣	PROPN
cana-3377	131	41	𝜃	𝜃	NOUN
cana-3377	131	42	)	)	PUNCT
cana-3377	131	43	is	be	AUX
cana-3377	131	44	the	the	DET
cana-3377	131	45	likelihood	likelihood	NOUN
cana-3377	131	46	of	of	ADP
cana-3377	131	47	observing	observe	VERB
cana-3377	131	48	the	the	DET
cana-3377	131	49	data	datum	NOUN
cana-3377	131	50	given	give	VERB
cana-3377	131	51	the	the	DET
cana-3377	131	52	parameters	parameter	NOUN
cana-3377	131	53	,	,	PUNCT
cana-3377	131	54	•	•	NUM
cana-3377	131	55	𝑃(𝜃	𝑃(𝜃	NOUN
cana-3377	131	56	)	)	PUNCT
cana-3377	131	57	is	be	AUX
cana-3377	131	58	the	the	DET
cana-3377	131	59	prior	prior	ADJ
cana-3377	131	60	distribution	distribution	NOUN
cana-3377	131	61	of	of	ADP
cana-3377	131	62	the	the	DET
cana-3377	131	63	parameters	parameter	NOUN
cana-3377	131	64	.	.	PUNCT
cana-3377	132	1	communications	communication	NOUN
cana-3377	132	2	on	on	ADP
cana-3377	132	3	applied	apply	VERB
cana-3377	132	4	nonlinear	nonlinear	ADJ
cana-3377	132	5	analysis	analysis	NOUN
cana-3377	132	6	issn	issn	NOUN
cana-3377	132	7	:	:	PUNCT
cana-3377	132	8	1074	1074	NUM
cana-3377	132	9	-	-	PUNCT
cana-3377	132	10	133x	133x	NUM
cana-3377	132	11	vol	vol	NOUN
cana-3377	132	12	32	32	NUM
cana-3377	132	13	no	no	NOUN
cana-3377	132	14	.	.	PUNCT
cana-3377	133	1	7s	7	NOUN
cana-3377	133	2	(	(	PUNCT
cana-3377	133	3	2025	2025	NUM
cana-3377	133	4	)	)	PUNCT
cana-3377	133	5	203	203	NUM
cana-3377	133	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3377	133	7	second	second	ADJ
cana-3377	133	8	,	,	PUNCT
cana-3377	133	9	through	through	ADP
cana-3377	133	10	the	the	DET
cana-3377	133	11	accumulated	accumulate	VERB
cana-3377	133	12	quantitative	quantitative	ADJ
cana-3377	133	13	data	datum	NOUN
cana-3377	133	14	,	,	PUNCT
cana-3377	133	15	machine	machine	NOUN
cana-3377	133	16	learning	learning	NOUN
cana-3377	133	17	,	,	PUNCT
cana-3377	133	18	including	include	VERB
cana-3377	133	19	neural	neural	ADJ
cana-3377	133	20	networks	network	NOUN
cana-3377	133	21	,	,	PUNCT
cana-3377	133	22	can	can	AUX
cana-3377	133	23	be	be	AUX
cana-3377	133	24	employed	employ	VERB
cana-3377	133	25	to	to	PART
cana-3377	133	26	forecast	forecast	VERB
cana-3377	133	27	future	future	ADJ
cana-3377	133	28	development	development	NOUN
cana-3377	133	29	of	of	ADP
cana-3377	133	30	the	the	DET
cana-3377	133	31	disease	disease	NOUN
cana-3377	133	32	.	.	PUNCT
cana-3377	134	1	when	when	SCONJ
cana-3377	134	2	trained	train	VERB
cana-3377	134	3	on	on	ADP
cana-3377	134	4	an	an	DET
cana-3377	134	5	historical	historical	ADJ
cana-3377	134	6	conditioning	conditioning	NOUN
cana-3377	134	7	signal	signal	NOUN
cana-3377	134	8	,	,	PUNCT
cana-3377	134	9	the	the	DET
cana-3377	134	10	neural	neural	ADJ
cana-3377	134	11	network	network	NOUN
cana-3377	134	12	can	can	AUX
cana-3377	134	13	then	then	ADV
cana-3377	134	14	incorporate	incorporate	VERB
cana-3377	134	15	temporal	temporal	ADJ
cana-3377	134	16	and	and	CCONJ
cana-3377	134	17	spatial	spatial	ADJ
cana-3377	134	18	correlations	correlation	NOUN
cana-3377	134	19	underlying	underlie	VERB
cana-3377	134	20	the	the	DET
cana-3377	134	21	trajectories	trajectory	NOUN
cana-3377	134	22	of	of	ADP
cana-3377	134	23	disease	disease	NOUN
cana-3377	134	24	outbreaks	outbreak	NOUN
cana-3377	134	25	.	.	PUNCT
cana-3377	135	1	e.	e.	PROPN
cana-3377	135	2	optimization	optimization	PROPN
cana-3377	135	3	for	for	ADP
cana-3377	135	4	intervention	intervention	NOUN
cana-3377	135	5	strategies	strategy	NOUN
cana-3377	135	6	last	last	ADJ
cana-3377	135	7	but	but	CCONJ
cana-3377	135	8	not	not	PART
cana-3377	135	9	the	the	DET
cana-3377	135	10	least	least	ADJ
cana-3377	135	11	,	,	PUNCT
cana-3377	135	12	our	our	PRON
cana-3377	135	13	approach	approach	NOUN
cana-3377	135	14	also	also	ADV
cana-3377	135	15	includes	include	VERB
cana-3377	135	16	optimality	optimality	NOUN
cana-3377	135	17	methods	method	NOUN
cana-3377	135	18	to	to	ADP
cana-3377	135	19	analyses	analysis	NOUN
cana-3377	135	20	and	and	CCONJ
cana-3377	135	21	accentuate	accentuate	VERB
cana-3377	135	22	various	various	ADJ
cana-3377	135	23	intervention	intervention	NOUN
cana-3377	135	24	parameters	parameter	NOUN
cana-3377	135	25	like	like	ADP
cana-3377	135	26	immunization	immunization	NOUN
cana-3377	135	27	,	,	PUNCT
cana-3377	135	28	contact	contact	NOUN
cana-3377	135	29	reduction	reduction	NOUN
cana-3377	135	30	and	and	CCONJ
cana-3377	135	31	restriction	restriction	NOUN
cana-3377	135	32	strategies	strategy	NOUN
cana-3377	135	33	including	include	VERB
cana-3377	135	34	quarantine	quarantine	NOUN
cana-3377	135	35	.	.	PUNCT
cana-3377	136	1	genetic	genetic	ADJ
cana-3377	136	2	and	and	CCONJ
cana-3377	136	3	particle	particle	NOUN
cana-3377	136	4	swarm	swarm	NOUN
cana-3377	136	5	optimizations	optimization	NOUN
cana-3377	136	6	,	,	PUNCT
cana-3377	136	7	within	within	ADP
cana-3377	136	8	the	the	DET
cana-3377	136	9	class	class	NOUN
cana-3377	136	10	of	of	ADP
cana-3377	136	11	evolutionary	evolutionary	ADJ
cana-3377	136	12	algorithms	algorithm	NOUN
cana-3377	136	13	,	,	PUNCT
cana-3377	136	14	can	can	AUX
cana-3377	136	15	be	be	AUX
cana-3377	136	16	employed	employ	VERB
cana-3377	136	17	to	to	PART
cana-3377	136	18	find	find	VERB
cana-3377	136	19	the	the	DET
cana-3377	136	20	best	good	ADJ
cana-3377	136	21	way	way	NOUN
cana-3377	136	22	to	to	PART
cana-3377	136	23	contain	contain	VERB
cana-3377	136	24	the	the	DET
cana-3377	136	25	illness	illness	NOUN
cana-3377	136	26	,	,	PUNCT
cana-3377	136	27	the	the	DET
cana-3377	136	28	way	way	NOUN
cana-3377	136	29	the	the	DET
cana-3377	136	30	number	number	NOUN
cana-3377	136	31	of	of	ADP
cana-3377	136	32	cases	case	NOUN
cana-3377	136	33	and	and	CCONJ
cana-3377	136	34	deaths	death	NOUN
cana-3377	136	35	can	can	AUX
cana-3377	136	36	be	be	AUX
cana-3377	136	37	reduced	reduce	VERB
cana-3377	136	38	to	to	ADP
cana-3377	136	39	a	a	DET
cana-3377	136	40	level	level	NOUN
cana-3377	136	41	least	least	ADV
cana-3377	136	42	possible	possible	ADJ
cana-3377	136	43	.	.	PUNCT
cana-3377	137	1	the	the	DET
cana-3377	137	2	optimization	optimization	NOUN
cana-3377	137	3	problem	problem	NOUN
cana-3377	137	4	can	can	AUX
cana-3377	137	5	be	be	AUX
cana-3377	137	6	formulated	formulate	VERB
cana-3377	137	7	as	as	ADP
cana-3377	137	8	:	:	PUNCT
cana-3377	137	9	maximize	maximize	VERB
cana-3377	137	10	𝑓(𝜃	𝑓(𝜃	NOUN
cana-3377	137	11	)	)	PUNCT
cana-3377	137	12	−	−	PUNCT
cana-3377	137	13	∑	∑	PUNCT
cana-3377	137	14	  	  	SPACE
cana-3377	137	15	𝑛	𝑛	PRON
cana-3377	137	16	𝑖=1	𝑖=1	PROPN
cana-3377	137	17	𝐼𝑖(𝑡	𝐼𝑖(𝑡	NOUN
cana-3377	137	18	)	)	PUNCT
cana-3377	137	19	⋅	⋅	PROPN
cana-3377	137	20	𝑤𝑖	𝑤𝑖	NUM
cana-3377	137	21	where	where	SCONJ
cana-3377	137	22	:	:	PUNCT
cana-3377	137	23	•	•	NUM
cana-3377	137	24	𝑓(𝜃	𝑓(𝜃	NOUN
cana-3377	137	25	)	)	PUNCT
cana-3377	137	26	is	be	AUX
cana-3377	137	27	the	the	DET
cana-3377	137	28	objective	objective	ADJ
cana-3377	137	29	function	function	NOUN
cana-3377	137	30	representing	represent	VERB
cana-3377	137	31	the	the	DET
cana-3377	137	32	total	total	ADJ
cana-3377	137	33	number	number	NOUN
cana-3377	137	34	of	of	ADP
cana-3377	137	35	infections	infection	NOUN
cana-3377	137	36	over	over	ADP
cana-3377	137	37	time	time	NOUN
cana-3377	137	38	,	,	PUNCT
cana-3377	137	39	•	•	NOUN
cana-3377	137	40	𝐼𝑖(𝑡	𝐼𝑖(𝑡	ADJ
cana-3377	137	41	)	)	PUNCT
cana-3377	137	42	is	be	AUX
cana-3377	137	43	the	the	DET
cana-3377	137	44	number	number	NOUN
cana-3377	137	45	of	of	ADP
cana-3377	137	46	infected	infected	ADJ
cana-3377	137	47	individuals	individual	NOUN
cana-3377	137	48	in	in	ADP
cana-3377	137	49	region	region	NOUN
cana-3377	137	50	𝑖	𝑖	X
cana-3377	137	51	at	at	ADP
cana-3377	137	52	time	time	NOUN
cana-3377	137	53	𝑡	𝑡	NOUN
cana-3377	137	54	,	,	PUNCT
cana-3377	137	55	•	•	ADP
cana-3377	137	56	𝑤𝑖	𝑤𝑖	PRON
cana-3377	137	57	is	be	AUX
cana-3377	137	58	a	a	DET
cana-3377	137	59	weight	weight	NOUN
cana-3377	137	60	representing	represent	VERB
cana-3377	137	61	the	the	DET
cana-3377	137	62	severity	severity	NOUN
cana-3377	137	63	of	of	ADP
cana-3377	137	64	the	the	DET
cana-3377	137	65	infection	infection	NOUN
cana-3377	137	66	in	in	ADP
cana-3377	137	67	region	region	NOUN
cana-3377	137	68	𝑖.	𝑖.	ADP
cana-3377	137	69	the	the	DET
cana-3377	137	70	optimization	optimization	NOUN
cana-3377	137	71	algorithm	algorithm	NOUN
cana-3377	137	72	will	will	AUX
cana-3377	137	73	tweak	tweak	VERB
cana-3377	137	74	through	through	ADP
cana-3377	137	75	the	the	DET
cana-3377	137	76	cycle	cycle	NOUN
cana-3377	137	77	of	of	ADP
cana-3377	137	78	a	a	DET
cana-3377	137	79	range	range	NOUN
cana-3377	137	80	of	of	ADP
cana-3377	137	81	interventions	intervention	NOUN
cana-3377	137	82	to	to	PART
cana-3377	137	83	minimize	minimize	VERB
cana-3377	137	84	the	the	DET
cana-3377	137	85	objective	objective	ADJ
cana-3377	137	86	function	function	NOUN
cana-3377	137	87	while	while	SCONJ
cana-3377	137	88	taking	take	VERB
cana-3377	137	89	into	into	ADP
cana-3377	137	90	consideration	consideration	NOUN
cana-3377	137	91	the	the	DET
cana-3377	137	92	competing	compete	VERB
cana-3377	137	93	costs	cost	NOUN
cana-3377	137	94	of	of	ADP
cana-3377	137	95	the	the	DET
cana-3377	137	96	different	different	ADJ
cana-3377	137	97	interventions	intervention	NOUN
cana-3377	137	98	.	.	PUNCT
cana-3377	138	1	f.	f.	PROPN
cana-3377	138	2	flowchart	flowchart	PROPN
cana-3377	138	3	the	the	DET
cana-3377	138	4	following	follow	VERB
cana-3377	138	5	flowchart	flowchart	NOUN
cana-3377	138	6	illustrates	illustrate	VERB
cana-3377	138	7	the	the	DET
cana-3377	138	8	steps	step	NOUN
cana-3377	138	9	involved	involve	VERB
cana-3377	138	10	in	in	ADP
cana-3377	138	11	our	our	PRON
cana-3377	138	12	proposed	propose	VERB
cana-3377	138	13	methodology	methodology	NOUN
cana-3377	138	14	for	for	ADP
cana-3377	138	15	modeling	model	VERB
cana-3377	138	16	infectious	infectious	ADJ
cana-3377	138	17	disease	disease	NOUN
cana-3377	138	18	spread	spread	VERB
cana-3377	138	19	in	in	ADP
cana-3377	138	20	figure	figure	NOUN
cana-3377	138	21	1	1	NUM
cana-3377	138	22	:	:	PUNCT
cana-3377	138	23	communications	communication	NOUN
cana-3377	138	24	on	on	ADP
cana-3377	138	25	applied	apply	VERB
cana-3377	138	26	nonlinear	nonlinear	ADJ
cana-3377	138	27	analysis	analysis	NOUN
cana-3377	138	28	issn	issn	NOUN
cana-3377	138	29	:	:	PUNCT
cana-3377	138	30	1074	1074	NUM
cana-3377	138	31	-	-	PUNCT
cana-3377	138	32	133x	133x	NUM
cana-3377	138	33	vol	vol	NOUN
cana-3377	138	34	32	32	NUM
cana-3377	138	35	no	no	NOUN
cana-3377	138	36	.	.	PUNCT
cana-3377	139	1	7s	7	NOUN
cana-3377	139	2	(	(	PUNCT
cana-3377	139	3	2025	2025	NUM
cana-3377	139	4	)	)	PUNCT
cana-3377	139	5	204	204	NUM
cana-3377	139	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3377	139	7	figure	figure	NOUN
cana-3377	139	8	1	1	NUM
cana-3377	139	9	:	:	PUNCT
cana-3377	139	10	workflow	workflow	NOUN
cana-3377	139	11	of	of	ADP
cana-3377	139	12	the	the	DET
cana-3377	139	13	proposed	propose	VERB
cana-3377	139	14	epidemic	epidemic	NOUN
cana-3377	139	15	modeling	modeling	NOUN
cana-3377	139	16	methodology	methodology	NOUN
cana-3377	139	17	iv	iv	NOUN
cana-3377	139	18	.	.	PUNCT
cana-3377	139	19	results	result	NOUN
cana-3377	139	20	and	and	CCONJ
cana-3377	139	21	discussions	discussion	NOUN
cana-3377	139	22	in	in	ADP
cana-3377	139	23	the	the	DET
cana-3377	139	24	results	result	NOUN
cana-3377	139	25	and	and	CCONJ
cana-3377	139	26	discussion	discussion	NOUN
cana-3377	139	27	section	section	NOUN
cana-3377	139	28	of	of	ADP
cana-3377	139	29	the	the	DET
cana-3377	139	30	proposed	propose	VERB
cana-3377	139	31	methodology	methodology	NOUN
cana-3377	139	32	for	for	ADP
cana-3377	139	33	modeling	model	VERB
cana-3377	139	34	infectious	infectious	ADJ
cana-3377	139	35	disease	disease	NOUN
cana-3377	139	36	spread	spread	VERB
cana-3377	139	37	,	,	PUNCT
cana-3377	139	38	the	the	DET
cana-3377	139	39	proposed	propose	VERB
cana-3377	139	40	model	model	NOUN
cana-3377	139	41	’s	’s	PART
cana-3377	139	42	performance	performance	NOUN
cana-3377	139	43	and	and	CCONJ
cana-3377	139	44	applicability	applicability	NOUN
cana-3377	139	45	is	be	AUX
cana-3377	139	46	reviewed	review	VERB
cana-3377	139	47	with	with	ADP
cana-3377	139	48	emphasis	emphasis	NOUN
cana-3377	139	49	on	on	ADP
cana-3377	139	50	the	the	DET
cana-3377	139	51	precision	precision	NOUN
cana-3377	139	52	of	of	ADP
cana-3377	139	53	estimation	estimation	NOUN
cana-3377	139	54	,	,	PUNCT
cana-3377	139	55	significance	significance	NOUN
cana-3377	139	56	of	of	ADP
cana-3377	139	57	the	the	DET
cana-3377	139	58	parameters	parameter	NOUN
cana-3377	139	59	and	and	CCONJ
cana-3377	139	60	the	the	DET
cana-3377	139	61	general	general	ADJ
cana-3377	139	62	real	real	ADJ
cana-3377	139	63	-	-	PUNCT
cana-3377	139	64	life	life	NOUN
cana-3377	139	65	like	like	ADP
cana-3377	139	66	nature	nature	NOUN
cana-3377	139	67	of	of	ADP
cana-3377	139	68	the	the	DET
cana-3377	139	69	model	model	NOUN
cana-3377	139	70	.	.	PUNCT
cana-3377	140	1	to	to	PART
cana-3377	140	2	confirm	confirm	VERB
cana-3377	140	3	that	that	SCONJ
cana-3377	140	4	the	the	DET
cana-3377	140	5	model	model	NOUN
cana-3377	140	6	could	could	AUX
cana-3377	140	7	be	be	AUX
cana-3377	140	8	useful	useful	ADJ
cana-3377	140	9	for	for	ADP
cana-3377	140	10	guiding	guide	VERB
cana-3377	140	11	interventions	intervention	NOUN
cana-3377	140	12	,	,	PUNCT
cana-3377	140	13	different	different	ADJ
cana-3377	140	14	experiments	experiment	NOUN
cana-3377	140	15	were	be	AUX
cana-3377	140	16	done	do	VERB
cana-3377	140	17	to	to	PART
cana-3377	140	18	reduce	reduce	VERB
cana-3377	140	19	distract	distract	VERB
cana-3377	140	20	time	time	NOUN
cana-3377	140	21	and	and	CCONJ
cana-3377	140	22	using	use	VERB
cana-3377	140	23	various	various	ADJ
cana-3377	140	24	scenarios	scenario	NOUN
cana-3377	140	25	to	to	PART
cana-3377	140	26	show	show	VERB
cana-3377	140	27	its	its	PRON
cana-3377	140	28	impact	impact	NOUN
cana-3377	140	29	on	on	ADP
cana-3377	140	30	disease	disease	NOUN
cana-3377	140	31	spread	spread	VERB
cana-3377	140	32	.	.	PUNCT
cana-3377	141	1	here	here	ADV
cana-3377	141	2	we	we	PRON
cana-3377	141	3	demonstrate	demonstrate	VERB
cana-3377	141	4	the	the	DET
cana-3377	141	5	outcomes	outcome	NOUN
cana-3377	141	6	of	of	ADP
cana-3377	141	7	numerical	numerical	ADJ
cana-3377	141	8	experiments	experiment	NOUN
cana-3377	141	9	,	,	PUNCT
cana-3377	141	10	discuss	discuss	VERB
cana-3377	141	11	how	how	SCONJ
cana-3377	141	12	various	various	ADJ
cana-3377	141	13	models	model	NOUN
cana-3377	141	14	perform	perform	VERB
cana-3377	141	15	,	,	PUNCT
cana-3377	141	16	and	and	CCONJ
cana-3377	141	17	assess	assess	VERB
cana-3377	141	18	the	the	DET
cana-3377	141	19	impact	impact	NOUN
cana-3377	141	20	of	of	ADP
cana-3377	141	21	interventions	intervention	NOUN
cana-3377	141	22	.	.	PUNCT
cana-3377	142	1	it	it	PRON
cana-3377	142	2	is	be	AUX
cana-3377	142	3	crucial	crucial	ADJ
cana-3377	142	4	that	that	SCONJ
cana-3377	142	5	this	this	DET
cana-3377	142	6	discussion	discussion	NOUN
cana-3377	142	7	is	be	AUX
cana-3377	142	8	done	do	VERB
cana-3377	142	9	to	to	PART
cana-3377	142	10	evaluate	evaluate	VERB
cana-3377	142	11	the	the	DET
cana-3377	142	12	impacts	impact	NOUN
cana-3377	142	13	of	of	ADP
cana-3377	142	14	the	the	DET
cana-3377	142	15	proposed	propose	VERB
cana-3377	142	16	methodology	methodology	NOUN
cana-3377	142	17	around	around	ADP
cana-3377	142	18	epidemiology	epidemiology	NOUN
cana-3377	142	19	and	and	CCONJ
cana-3377	142	20	population	population	NOUN
cana-3377	142	21	trends	trend	NOUN
cana-3377	142	22	[	[	X
cana-3377	142	23	17	17	NUM
cana-3377	142	24	]	]	PUNCT
cana-3377	142	25	.	.	PUNCT
cana-3377	143	1	the	the	DET
cana-3377	143	2	first	first	ADJ
cana-3377	143	3	scenario	scenario	NOUN
cana-3377	143	4	was	be	AUX
cana-3377	143	5	carried	carry	VERB
cana-3377	143	6	out	out	ADP
cana-3377	143	7	under	under	ADP
cana-3377	143	8	the	the	DET
cana-3377	143	9	assumption	assumption	NOUN
cana-3377	143	10	of	of	ADP
cana-3377	143	11	sir	sir	PROPN
cana-3377	143	12	model	model	NOUN
cana-3377	143	13	as	as	ADP
cana-3377	143	14	fundamental	fundamental	ADJ
cana-3377	143	15	model	model	NOUN
cana-3377	143	16	of	of	ADP
cana-3377	143	17	disease	disease	NOUN
cana-3377	143	18	spreading	spread	VERB
cana-3377	143	19	.	.	PUNCT
cana-3377	144	1	the	the	DET
cana-3377	144	2	model	model	NOUN
cana-3377	144	3	started	start	VERB
cana-3377	144	4	with	with	ADP
cana-3377	144	5	some	some	DET
cana-3377	144	6	parameters	parameter	NOUN
cana-3377	144	7	drawn	draw	VERB
cana-3377	144	8	from	from	ADP
cana-3377	144	9	previous	previous	ADJ
cana-3377	144	10	disease	disease	NOUN
cana-3377	144	11	transmission	transmission	NOUN
cana-3377	144	12	and	and	CCONJ
cana-3377	144	13	communications	communication	NOUN
cana-3377	144	14	on	on	ADP
cana-3377	144	15	applied	apply	VERB
cana-3377	144	16	nonlinear	nonlinear	ADJ
cana-3377	144	17	analysis	analysis	NOUN
cana-3377	144	18	issn	issn	NOUN
cana-3377	144	19	:	:	PUNCT
cana-3377	144	20	1074	1074	NUM
cana-3377	144	21	-	-	PUNCT
cana-3377	144	22	133x	133x	NUM
cana-3377	144	23	vol	vol	NOUN
cana-3377	144	24	32	32	NUM
cana-3377	144	25	no	no	NOUN
cana-3377	144	26	.	.	PUNCT
cana-3377	145	1	7s	7	NOUN
cana-3377	145	2	(	(	PUNCT
cana-3377	145	3	2025	2025	NUM
cana-3377	145	4	)	)	PUNCT
cana-3377	145	5	205	205	NUM
cana-3377	145	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3377	145	7	duration	duration	NOUN
cana-3377	145	8	such	such	ADJ
cana-3377	145	9	as	as	ADP
cana-3377	145	10	a	a	DET
cana-3377	145	11	raw	raw	ADJ
cana-3377	145	12	transmission	transmission	NOUN
cana-3377	145	13	rate	rate	NOUN
cana-3377	145	14	and	and	CCONJ
cana-3377	145	15	recovery	recovery	NOUN
cana-3377	145	16	rate	rate	NOUN
cana-3377	145	17	.	.	PUNCT
cana-3377	146	1	in	in	ADP
cana-3377	146	2	the	the	DET
cana-3377	146	3	first	first	ADJ
cana-3377	146	4	simulation	simulation	NOUN
cana-3377	146	5	of	of	ADP
cana-3377	146	6	our	our	PRON
cana-3377	146	7	implemented	implement	VERB
cana-3377	146	8	sir	sir	PROPN
cana-3377	146	9	model	model	NOUN
cana-3377	146	10	,	,	PUNCT
cana-3377	146	11	the	the	DET
cana-3377	146	12	hypothetical	hypothetical	ADJ
cana-3377	146	13	outbreak	outbreak	NOUN
cana-3377	146	14	was	be	AUX
cana-3377	146	15	set	set	VERB
cana-3377	146	16	on	on	ADP
cana-3377	146	17	a	a	DET
cana-3377	146	18	close	close	ADJ
cana-3377	146	19	network	network	NOUN
cana-3377	146	20	of	of	ADP
cana-3377	146	21	10000	10000	NUM
cana-3377	146	22	people	people	NOUN
cana-3377	146	23	.	.	PUNCT
cana-3377	147	1	this	this	DET
cana-3377	147	2	simulation	simulation	NOUN
cana-3377	147	3	indicated	indicate	VERB
cana-3377	147	4	in	in	ADP
cana-3377	147	5	figure	figure	NOUN
cana-3377	147	6	2	2	NUM
cana-3377	147	7	revealed	reveal	VERB
cana-3377	147	8	the	the	DET
cana-3377	147	9	trends	trend	NOUN
cana-3377	147	10	indicated	indicate	VERB
cana-3377	147	11	by	by	ADP
cana-3377	147	12	number	number	NOUN
cana-3377	147	13	of	of	ADP
cana-3377	147	14	infections	infection	NOUN
cana-3377	147	15	rising	rise	VERB
cana-3377	147	16	sharply	sharply	ADV
cana-3377	147	17	before	before	ADP
cana-3377	147	18	rapidly	rapidly	ADV
cana-3377	147	19	falling	fall	VERB
cana-3377	147	20	as	as	SCONJ
cana-3377	147	21	those	those	PRON
cana-3377	147	22	susceptible	susceptible	ADJ
cana-3377	147	23	to	to	ADP
cana-3377	147	24	the	the	DET
cana-3377	147	25	disease	disease	NOUN
cana-3377	147	26	reduce	reduce	VERB
cana-3377	147	27	with	with	ADP
cana-3377	147	28	the	the	DET
cana-3377	147	29	percentages	percentage	NOUN
cana-3377	147	30	of	of	ADP
cana-3377	147	31	those	those	PRON
cana-3377	147	32	that	that	PRON
cana-3377	147	33	recovered	recover	VERB
cana-3377	147	34	increasing	increase	VERB
cana-3377	147	35	.	.	PUNCT
cana-3377	148	1	this	this	DET
cana-3377	148	2	type	type	NOUN
cana-3377	148	3	of	of	ADP
cana-3377	148	4	analysis	analysis	NOUN
cana-3377	148	5	,	,	PUNCT
cana-3377	148	6	where	where	SCONJ
cana-3377	148	7	no	no	DET
cana-3377	148	8	modifications	modification	NOUN
cana-3377	148	9	were	be	AUX
cana-3377	148	10	made	make	VERB
cana-3377	148	11	to	to	ADP
cana-3377	148	12	the	the	DET
cana-3377	148	13	model	model	NOUN
cana-3377	148	14	,	,	PUNCT
cana-3377	148	15	showed	show	VERB
cana-3377	148	16	how	how	SCONJ
cana-3377	148	17	an	an	DET
cana-3377	148	18	illness	illness	NOUN
cana-3377	148	19	behaves	behave	VERB
cana-3377	148	20	in	in	ADP
cana-3377	148	21	a	a	DET
cana-3377	148	22	community	community	NOUN
cana-3377	148	23	.	.	PUNCT
cana-3377	149	1	figure	figure	NOUN
cana-3377	149	2	2	2	NUM
cana-3377	149	3	:	:	PUNCT
cana-3377	149	4	sir	sir	NOUN
cana-3377	149	5	model	model	PROPN
cana-3377	149	6	simulation	simulation	PROPN
cana-3377	149	7	results	result	VERB
cana-3377	149	8	the	the	DET
cana-3377	149	9	infection	infection	NOUN
cana-3377	149	10	curve	curve	NOUN
cana-3377	149	11	from	from	ADP
cana-3377	149	12	figure	figure	NOUN
cana-3377	149	13	2	2	NUM
cana-3377	149	14	again	again	ADV
cana-3377	149	15	showed	show	VERB
cana-3377	149	16	the	the	DET
cana-3377	149	17	bell	bell	NOUN
cana-3377	149	18	-	-	PUNCT
cana-3377	149	19	shaped	shape	VERB
cana-3377	149	20	epidemic	epidemic	NOUN
cana-3377	149	21	curve	curve	NOUN
cana-3377	149	22	as	as	SCONJ
cana-3377	149	23	depicted	depict	VERB
cana-3377	149	24	in	in	ADP
cana-3377	149	25	the	the	DET
cana-3377	149	26	center	center	NOUN
cana-3377	149	27	of	of	ADP
cana-3377	149	28	the	the	DET
cana-3377	149	29	figure	figure	NOUN
cana-3377	149	30	,	,	PUNCT
cana-3377	149	31	and	and	CCONJ
cana-3377	149	32	with	with	ADP
cana-3377	149	33	the	the	DET
cana-3377	149	34	peak	peak	NOUN
cana-3377	149	35	of	of	ADP
cana-3377	149	36	the	the	DET
cana-3377	149	37	curve	curve	NOUN
cana-3377	149	38	indicated	indicate	VERB
cana-3377	149	39	that	that	SCONJ
cana-3377	149	40	the	the	DET
cana-3377	149	41	highest	high	ADJ
cana-3377	149	42	number	number	NOUN
cana-3377	149	43	of	of	ADP
cana-3377	149	44	infected	infected	ADJ
cana-3377	149	45	individuals	individual	NOUN
cana-3377	149	46	was	be	AUX
cana-3377	149	47	at	at	ADP
cana-3377	149	48	the	the	DET
cana-3377	149	49	peak	peak	NOUN
cana-3377	149	50	of	of	ADP
cana-3377	149	51	the	the	DET
cana-3377	149	52	epidemic	epidemic	NOUN
cana-3377	149	53	.	.	PUNCT
cana-3377	150	1	it	it	PRON
cana-3377	150	2	is	be	AUX
cana-3377	150	3	important	important	ADJ
cana-3377	150	4	to	to	PART
cana-3377	150	5	notice	notice	VERB
cana-3377	150	6	that	that	SCONJ
cana-3377	150	7	,	,	PUNCT
cana-3377	150	8	at	at	ADP
cana-3377	150	9	the	the	DET
cana-3377	150	10	top	top	NOUN
cana-3377	150	11	of	of	ADP
cana-3377	150	12	the	the	DET
cana-3377	150	13	curve	curve	NOUN
cana-3377	150	14	,	,	PUNCT
cana-3377	150	15	the	the	DET
cana-3377	150	16	number	number	NOUN
cana-3377	150	17	of	of	ADP
cana-3377	150	18	new	new	ADJ
cana-3377	150	19	cases	case	NOUN
cana-3377	150	20	begins	begin	VERB
cana-3377	150	21	to	to	PART
cana-3377	150	22	decline	decline	VERB
cana-3377	150	23	due	due	ADJ
cana-3377	150	24	to	to	ADP
cana-3377	150	25	absence	absence	NOUN
cana-3377	150	26	of	of	ADP
cana-3377	150	27	new	new	ADJ
cana-3377	150	28	susceptible	susceptible	ADJ
cana-3377	150	29	,	,	PUNCT
cana-3377	150	30	or	or	CCONJ
cana-3377	150	31	they	they	PRON
cana-3377	150	32	recover	recover	VERB
cana-3377	150	33	or	or	CCONJ
cana-3377	150	34	die	die	VERB
cana-3377	150	35	.	.	PUNCT
cana-3377	151	1	these	these	DET
cana-3377	151	2	findings	finding	NOUN
cana-3377	151	3	are	be	AUX
cana-3377	151	4	not	not	PART
cana-3377	151	5	unique	unique	ADJ
cana-3377	151	6	to	to	ADP
cana-3377	151	7	chl	chl	PROPN
cana-3377	151	8	but	but	CCONJ
cana-3377	151	9	are	be	AUX
cana-3377	151	10	reminiscent	reminiscent	ADJ
cana-3377	151	11	of	of	ADP
cana-3377	151	12	other	other	ADJ
cana-3377	151	13	communicable	communicable	NOUN
cana-3377	151	14	diseases	disease	NOUN
cana-3377	151	15	demonstrated	demonstrate	VERB
cana-3377	151	16	to	to	PART
cana-3377	151	17	have	have	AUX
cana-3377	151	18	pronounced	pronounce	VERB
cana-3377	151	19	mobility	mobility	NOUN
cana-3377	151	20	and	and	CCONJ
cana-3377	151	21	show	show	VERB
cana-3377	151	22	why	why	SCONJ
cana-3377	151	23	early	early	ADJ
cana-3377	151	24	interventions	intervention	NOUN
cana-3377	151	25	are	be	AUX
cana-3377	151	26	crucial	crucial	ADJ
cana-3377	151	27	in	in	ADP
cana-3377	151	28	controlling	control	VERB
cana-3377	151	29	disease	disease	NOUN
cana-3377	151	30	spread	spread	VERB
cana-3377	151	31	.	.	PUNCT
cana-3377	152	1	next	next	ADV
cana-3377	152	2	,	,	PUNCT
cana-3377	152	3	we	we	PRON
cana-3377	152	4	expanded	expand	VERB
cana-3377	152	5	the	the	DET
cana-3377	152	6	model	model	NOUN
cana-3377	152	7	into	into	ADP
cana-3377	152	8	an	an	DET
cana-3377	152	9	seir	seir	ADJ
cana-3377	152	10	structure	structure	NOUN
cana-3377	152	11	that	that	PRON
cana-3377	152	12	encompasses	encompass	VERB
cana-3377	152	13	all	all	DET
cana-3377	152	14	the	the	DET
cana-3377	152	15	different	different	ADJ
cana-3377	152	16	stages	stage	NOUN
cana-3377	152	17	of	of	ADP
cana-3377	152	18	the	the	DET
cana-3377	152	19	pathogen	pathogen	NOUN
cana-3377	152	20	including	include	VERB
cana-3377	152	21	the	the	DET
cana-3377	152	22	incubation	incubation	NOUN
cana-3377	152	23	period	period	NOUN
cana-3377	152	24	.	.	PUNCT
cana-3377	153	1	the	the	DET
cana-3377	153	2	new	new	ADJ
cana-3377	153	3	component	component	NOUN
cana-3377	153	4	added	add	VERB
cana-3377	153	5	into	into	ADP
cana-3377	153	6	the	the	DET
cana-3377	153	7	model	model	NOUN
cana-3377	153	8	is	be	AUX
cana-3377	153	9	the	the	DET
cana-3377	153	10	exposed	expose	VERB
cana-3377	153	11	group	group	NOUN
cana-3377	153	12	which	which	PRON
cana-3377	153	13	are	be	AUX
cana-3377	153	14	persons	person	NOUN
cana-3377	153	15	infected	infect	VERB
cana-3377	153	16	but	but	CCONJ
cana-3377	153	17	not	not	PART
cana-3377	153	18	transmitters	transmitter	NOUN
cana-3377	153	19	of	of	ADP
cana-3377	153	20	the	the	DET
cana-3377	153	21	disease	disease	NOUN
cana-3377	153	22	.	.	PUNCT
cana-3377	154	1	this	this	DET
cana-3377	154	2	extension	extension	NOUN
cana-3377	154	3	was	be	AUX
cana-3377	154	4	useful	useful	ADJ
cana-3377	154	5	for	for	ADP
cana-3377	154	6	modeling	model	VERB
cana-3377	154	7	diseases	disease	NOUN
cana-3377	154	8	such	such	ADJ
cana-3377	154	9	as	as	ADP
cana-3377	154	10	covid-19	covid-19	PROPN
cana-3377	154	11	that	that	SCONJ
cana-3377	154	12	the	the	DET
cana-3377	154	13	infected	infected	ADJ
cana-3377	154	14	individual	individual	NOUN
cana-3377	154	15	will	will	AUX
cana-3377	154	16	not	not	PART
cana-3377	154	17	immediately	immediately	ADV
cana-3377	154	18	be	be	AUX
cana-3377	154	19	spreading	spread	VERB
cana-3377	154	20	the	the	DET
cana-3377	154	21	disease	disease	NOUN
cana-3377	154	22	.	.	PUNCT
cana-3377	155	1	these	these	DET
cana-3377	155	2	results	result	NOUN
cana-3377	155	3	,	,	PUNCT
cana-3377	155	4	as	as	SCONJ
cana-3377	155	5	depicted	depict	VERB
cana-3377	155	6	by	by	ADP
cana-3377	155	7	the	the	DET
cana-3377	155	8	seir	seir	ADJ
cana-3377	155	9	model	model	NOUN
cana-3377	155	10	(	(	PUNCT
cana-3377	155	11	figure	figure	NOUN
cana-3377	155	12	3	3	NUM
cana-3377	155	13	)	)	PUNCT
cana-3377	155	14	,	,	PUNCT
cana-3377	155	15	have	have	VERB
cana-3377	155	16	identical	identical	ADJ
cana-3377	155	17	infection	infection	NOUN
cana-3377	155	18	curve	curve	NOUN
cana-3377	155	19	pattern	pattern	NOUN
cana-3377	155	20	but	but	CCONJ
cana-3377	155	21	with	with	ADP
cana-3377	155	22	a	a	DET
cana-3377	155	23	longer	long	ADJ
cana-3377	155	24	phase	phase	NOUN
cana-3377	155	25	of	of	ADP
cana-3377	155	26	the	the	DET
cana-3377	155	27	exponential	exponential	ADJ
cana-3377	155	28	phase	phase	NOUN
cana-3377	155	29	due	due	ADP
cana-3377	155	30	to	to	ADP
cana-3377	155	31	the	the	DET
cana-3377	155	32	delay	delay	NOUN
cana-3377	155	33	in	in	ADP
cana-3377	155	34	the	the	DET
cana-3377	155	35	transmission	transmission	NOUN
cana-3377	155	36	phase	phase	NOUN
cana-3377	155	37	.	.	PUNCT
cana-3377	156	1	the	the	DET
cana-3377	156	2	indicated	indicate	VERB
cana-3377	156	3	time	time	NOUN
cana-3377	156	4	of	of	ADP
cana-3377	156	5	the	the	DET
cana-3377	156	6	apex	apex	NOUN
cana-3377	156	7	the	the	DET
cana-3377	156	8	epidemic	epidemic	NOUN
cana-3377	156	9	curve	curve	NOUN
cana-3377	156	10	was	be	AUX
cana-3377	156	11	shifted	shift	VERB
cana-3377	156	12	to	to	ADP
cana-3377	156	13	the	the	DET
cana-3377	156	14	right	right	NOUN
cana-3377	156	15	while	while	SCONJ
cana-3377	156	16	the	the	DET
cana-3377	156	17	total	total	ADJ
cana-3377	156	18	number	number	NOUN
cana-3377	156	19	of	of	ADP
cana-3377	156	20	infected	infected	ADJ
cana-3377	156	21	persons	person	NOUN
cana-3377	156	22	was	be	AUX
cana-3377	156	23	greater	great	ADJ
cana-3377	156	24	than	than	ADP
cana-3377	156	25	in	in	ADP
cana-3377	156	26	the	the	DET
cana-3377	156	27	sir	sir	NOUN
cana-3377	156	28	model	model	NOUN
cana-3377	156	29	where	where	SCONJ
cana-3377	156	30	the	the	DET
cana-3377	156	31	exposed	expose	VERB
cana-3377	156	32	fraction	fraction	NOUN
cana-3377	156	33	was	be	AUX
cana-3377	156	34	not	not	PART
cana-3377	156	35	evaluated	evaluate	VERB
cana-3377	156	36	.	.	PUNCT
cana-3377	157	1	figure	figure	VERB
cana-3377	157	2	3	3	NUM
cana-3377	157	3	:	:	PUNCT
cana-3377	157	4	seir	seir	ADJ
cana-3377	157	5	model	model	NOUN
cana-3377	157	6	simulation	simulation	NOUN
cana-3377	157	7	results	result	VERB
cana-3377	157	8	communications	communication	NOUN
cana-3377	157	9	on	on	ADP
cana-3377	157	10	applied	apply	VERB
cana-3377	157	11	nonlinear	nonlinear	ADJ
cana-3377	157	12	analysis	analysis	NOUN
cana-3377	157	13	issn	issn	NOUN
cana-3377	157	14	:	:	PUNCT
cana-3377	157	15	1074	1074	NUM
cana-3377	157	16	-	-	PUNCT
cana-3377	157	17	133x	133x	NUM
cana-3377	157	18	vol	vol	NOUN
cana-3377	157	19	32	32	NUM
cana-3377	157	20	no	no	NOUN
cana-3377	157	21	.	.	PUNCT
cana-3377	158	1	7s	7	NOUN
cana-3377	158	2	(	(	PUNCT
cana-3377	158	3	2025	2025	NUM
cana-3377	158	4	)	)	PUNCT
cana-3377	158	5	206	206	NUM
cana-3377	158	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3377	158	7	the	the	DET
cana-3377	158	8	presence	presence	NOUN
cana-3377	158	9	of	of	ADP
cana-3377	158	10	the	the	DET
cana-3377	158	11	exposed	expose	VERB
cana-3377	158	12	compartment	compartment	NOUN
cana-3377	158	13	influenced	influence	VERB
cana-3377	158	14	the	the	DET
cana-3377	158	15	dynamics	dynamic	NOUN
cana-3377	158	16	of	of	ADP
cana-3377	158	17	the	the	DET
cana-3377	158	18	disease	disease	NOUN
cana-3377	158	19	spread	spread	VERB
cana-3377	158	20	early	early	ADV
cana-3377	158	21	greatly	greatly	ADV
cana-3377	158	22	where	where	SCONJ
cana-3377	158	23	people	people	NOUN
cana-3377	158	24	are	be	AUX
cana-3377	158	25	not	not	PART
cana-3377	158	26	transmitting	transmit	VERB
cana-3377	158	27	the	the	DET
cana-3377	158	28	disease	disease	NOUN
cana-3377	158	29	.	.	PUNCT
cana-3377	159	1	as	as	SCONJ
cana-3377	159	2	observed	observe	VERB
cana-3377	159	3	in	in	ADP
cana-3377	159	4	figure	figure	NOUN
cana-3377	159	5	3	3	NUM
cana-3377	159	6	,	,	PUNCT
cana-3377	159	7	potential	potential	ADJ
cana-3377	159	8	intervention	intervention	NOUN
cana-3377	159	9	approaches	approach	NOUN
cana-3377	159	10	should	should	AUX
cana-3377	159	11	consider	consider	VERB
cana-3377	159	12	the	the	DET
cana-3377	159	13	outer	outer	ADJ
cana-3377	159	14	range	range	NOUN
cana-3377	159	15	of	of	ADP
cana-3377	159	16	disease	disease	NOUN
cana-3377	159	17	latency	latency	NOUN
cana-3377	159	18	.	.	PUNCT
cana-3377	160	1	for	for	ADP
cana-3377	160	2	example	example	NOUN
cana-3377	160	3	,	,	PUNCT
cana-3377	160	4	measures	measure	NOUN
cana-3377	160	5	preventing	prevent	VERB
cana-3377	160	6	buildup	buildup	NOUN
cana-3377	160	7	of	of	ADP
cana-3377	160	8	the	the	DET
cana-3377	160	9	exposed	expose	VERB
cana-3377	160	10	class	class	NOUN
cana-3377	160	11	by	by	ADP
cana-3377	160	12	applying	apply	VERB
cana-3377	160	13	isolation	isolation	NOUN
cana-3377	160	14	or	or	CCONJ
cana-3377	160	15	quarantine	quarantine	NOUN
cana-3377	160	16	would	would	AUX
cana-3377	160	17	be	be	AUX
cana-3377	160	18	more	more	ADV
cana-3377	160	19	effective	effective	ADJ
cana-3377	160	20	in	in	ADP
cana-3377	160	21	seir	seir	ADJ
cana-3377	160	22	model	model	NOUN
cana-3377	160	23	since	since	SCONJ
cana-3377	160	24	elimination	elimination	NOUN
cana-3377	160	25	of	of	ADP
cana-3377	160	26	some	some	DET
cana-3377	160	27	percentage	percentage	NOUN
cana-3377	160	28	of	of	ADP
cana-3377	160	29	the	the	DET
cana-3377	160	30	human	human	NOUN
cana-3377	160	31	can	can	AUX
cana-3377	160	32	lead	lead	VERB
cana-3377	160	33	to	to	ADP
cana-3377	160	34	a	a	DET
cana-3377	160	35	drastic	drastic	ADJ
cana-3377	160	36	reduction	reduction	NOUN
cana-3377	160	37	of	of	ADP
cana-3377	160	38	the	the	DET
cana-3377	160	39	number	number	NOUN
cana-3377	160	40	of	of	ADP
cana-3377	160	41	people	people	NOUN
cana-3377	160	42	who	who	PRON
cana-3377	160	43	are	be	AUX
cana-3377	160	44	passing	pass	VERB
cana-3377	160	45	to	to	ADP
cana-3377	160	46	the	the	DET
cana-3377	160	47	infectious	infectious	ADJ
cana-3377	160	48	class	class	NOUN
cana-3377	160	49	.	.	PUNCT
cana-3377	161	1	these	these	DET
cana-3377	161	2	findings	finding	NOUN
cana-3377	161	3	thus	thus	ADV
cana-3377	161	4	imply	imply	VERB
cana-3377	161	5	the	the	DET
cana-3377	161	6	need	need	NOUN
cana-3377	161	7	for	for	ADP
cana-3377	161	8	early	early	ADJ
cana-3377	161	9	diagnosing	diagnosing	NOUN
cana-3377	161	10	and	and	CCONJ
cana-3377	161	11	isolation	isolation	NOUN
cana-3377	161	12	of	of	ADP
cana-3377	161	13	infectious	infectious	ADJ
cana-3377	161	14	diseases	disease	NOUN
cana-3377	161	15	whose	whose	DET
cana-3377	161	16	incubation	incubation	NOUN
cana-3377	161	17	period	period	NOUN
cana-3377	161	18	is	be	AUX
cana-3377	161	19	lengthy	lengthy	ADJ
cana-3377	161	20	.	.	PUNCT
cana-3377	162	1	figure	figure	NOUN
cana-3377	162	2	4	4	NUM
cana-3377	162	3	:	:	PUNCT
cana-3377	162	4	disease	disease	NOUN
cana-3377	162	5	spread	spread	VERB
cana-3377	162	6	across	across	ADP
cana-3377	162	7	regions	region	NOUN
cana-3377	162	8	adding	add	VERB
cana-3377	162	9	more	more	ADJ
cana-3377	162	10	spatial	spatial	ADJ
cana-3377	162	11	elements	element	NOUN
cana-3377	162	12	into	into	ADP
cana-3377	162	13	the	the	DET
cana-3377	162	14	modelling	modelling	NOUN
cana-3377	162	15	process	process	NOUN
cana-3377	162	16	described	describe	VERB
cana-3377	162	17	spatial	spatial	ADJ
cana-3377	162	18	variations	variation	NOUN
cana-3377	162	19	that	that	PRON
cana-3377	162	20	were	be	AUX
cana-3377	162	21	unseen	unseen	ADJ
cana-3377	162	22	in	in	ADP
cana-3377	162	23	simpler	simple	ADJ
cana-3377	162	24	mobility	mobility	NOUN
cana-3377	162	25	and	and	CCONJ
cana-3377	162	26	regional	regional	ADJ
cana-3377	162	27	disease	disease	NOUN
cana-3377	162	28	transmission	transmission	NOUN
cana-3377	162	29	.	.	PUNCT
cana-3377	163	1	in	in	ADP
cana-3377	163	2	the	the	DET
cana-3377	163	3	next	next	ADJ
cana-3377	163	4	study	study	NOUN
cana-3377	163	5	,	,	PUNCT
cana-3377	163	6	we	we	PRON
cana-3377	163	7	mimicked	mimic	VERB
cana-3377	163	8	the	the	DET
cana-3377	163	9	disease	disease	NOUN
cana-3377	163	10	propagation	propagation	NOUN
cana-3377	163	11	at	at	ADP
cana-3377	163	12	various	various	ADJ
cana-3377	163	13	population	population	NOUN
cana-3377	163	14	density	density	NOUN
cana-3377	163	15	and	and	CCONJ
cana-3377	163	16	mobility	mobility	NOUN
cana-3377	163	17	conditions	condition	NOUN
cana-3377	163	18	.	.	PUNCT
cana-3377	164	1	when	when	SCONJ
cana-3377	164	2	the	the	DET
cana-3377	164	3	settings	setting	NOUN
cana-3377	164	4	were	be	AUX
cana-3377	164	5	adjusted	adjust	VERB
cana-3377	164	6	for	for	ADP
cana-3377	164	7	this	this	DET
cana-3377	164	8	simulation	simulation	NOUN
cana-3377	164	9	(	(	PUNCT
cana-3377	164	10	figure	figure	NOUN
cana-3377	164	11	4	4	NUM
cana-3377	164	12	)	)	PUNCT
cana-3377	164	13	it	it	PRON
cana-3377	164	14	was	be	AUX
cana-3377	164	15	determined	determine	VERB
cana-3377	164	16	that	that	SCONJ
cana-3377	164	17	the	the	DET
cana-3377	164	18	disease	disease	NOUN
cana-3377	164	19	spread	spread	VERB
cana-3377	164	20	at	at	ADP
cana-3377	164	21	a	a	DET
cana-3377	164	22	faster	fast	ADJ
cana-3377	164	23	rate	rate	NOUN
cana-3377	164	24	in	in	ADP
cana-3377	164	25	the	the	DET
cana-3377	164	26	crowded	crowded	ADJ
cana-3377	164	27	environments	environment	NOUN
cana-3377	164	28	than	than	SCONJ
cana-3377	164	29	it	it	PRON
cana-3377	164	30	did	do	VERB
cana-3377	164	31	in	in	ADP
cana-3377	164	32	the	the	DET
cana-3377	164	33	open	open	ADJ
cana-3377	164	34	country	country	NOUN
cana-3377	164	35	environments	environment	NOUN
cana-3377	164	36	unless	unless	SCONJ
cana-3377	164	37	the	the	DET
cana-3377	164	38	infection	infection	NOUN
cana-3377	164	39	ratio	ratio	NOUN
cana-3377	164	40	throughout	throughout	ADP
cana-3377	164	41	the	the	DET
cana-3377	164	42	regions	region	NOUN
cana-3377	164	43	was	be	AUX
cana-3377	164	44	the	the	DET
cana-3377	164	45	same	same	ADJ
cana-3377	164	46	.	.	PUNCT
cana-3377	165	1	this	this	DET
cana-3377	165	2	simulation	simulation	NOUN
cana-3377	165	3	illustrated	illustrate	VERB
cana-3377	165	4	how	how	SCONJ
cana-3377	165	5	variation	variation	NOUN
cana-3377	165	6	in	in	ADP
cana-3377	165	7	the	the	DET
cana-3377	165	8	intensity	intensity	NOUN
cana-3377	165	9	of	of	ADP
cana-3377	165	10	the	the	DET
cana-3377	165	11	epidemic	epidemic	NOUN
cana-3377	165	12	depending	depend	VERB
cana-3377	165	13	on	on	ADP
cana-3377	165	14	the	the	DET
cana-3377	165	15	region	region	NOUN
cana-3377	165	16	’s	’s	PART
cana-3377	165	17	population	population	NOUN
cana-3377	165	18	density	density	NOUN
cana-3377	165	19	was	be	AUX
cana-3377	165	20	possible	possible	ADJ
cana-3377	165	21	.	.	PUNCT
cana-3377	166	1	the	the	DET
cana-3377	166	2	model	model	NOUN
cana-3377	166	3	was	be	AUX
cana-3377	166	4	a	a	DET
cana-3377	166	5	better	well	ADJ
cana-3377	166	6	reflection	reflection	NOUN
cana-3377	166	7	of	of	ADP
cana-3377	166	8	the	the	DET
cana-3377	166	9	actual	actual	ADJ
cana-3377	166	10	field	field	NOUN
cana-3377	166	11	outbreaks	outbreak	NOUN
cana-3377	166	12	owing	owe	VERB
cana-3377	166	13	to	to	ADP
cana-3377	166	14	its	its	PRON
cana-3377	166	15	ability	ability	NOUN
cana-3377	166	16	to	to	PART
cana-3377	166	17	factor	factor	VERB
cana-3377	166	18	for	for	ADP
cana-3377	166	19	the	the	DET
cana-3377	166	20	heterogeneity	heterogeneity	NOUN
cana-3377	166	21	in	in	ADP
cana-3377	166	22	the	the	DET
cana-3377	166	23	disease	disease	NOUN
cana-3377	166	24	transmission	transmission	NOUN
cana-3377	166	25	within	within	ADP
cana-3377	166	26	a	a	DET
cana-3377	166	27	fix	fix	NOUN
cana-3377	166	28	group	group	NOUN
cana-3377	166	29	.	.	PUNCT
cana-3377	167	1	besides	besides	SCONJ
cana-3377	167	2	,	,	PUNCT
cana-3377	167	3	we	we	PRON
cana-3377	167	4	successfully	successfully	ADV
cana-3377	167	5	applied	apply	VERB
cana-3377	167	6	spatial	spatial	ADJ
cana-3377	167	7	dynamics	dynamic	NOUN
cana-3377	167	8	for	for	ADP
cana-3377	167	9	optimizing	optimize	VERB
cana-3377	167	10	intervention	intervention	NOUN
cana-3377	167	11	strategies	strategy	NOUN
cana-3377	167	12	when	when	SCONJ
cana-3377	167	13	using	use	VERB
cana-3377	167	14	evolutionary	evolutionary	ADJ
cana-3377	167	15	algorithms	algorithm	NOUN
cana-3377	167	16	.	.	PUNCT
cana-3377	168	1	more	more	ADJ
cana-3377	168	2	to	to	ADP
cana-3377	168	3	this	this	PRON
cana-3377	168	4	,	,	PUNCT
cana-3377	168	5	to	to	PART
cana-3377	168	6	determine	determine	VERB
cana-3377	168	7	the	the	DET
cana-3377	168	8	time	time	NOUN
cana-3377	168	9	and	and	CCONJ
cana-3377	168	10	level	level	NOUN
cana-3377	168	11	of	of	ADP
cana-3377	168	12	compliance	compliance	NOUN
cana-3377	168	13	of	of	ADP
cana-3377	168	14	several	several	ADJ
cana-3377	168	15	interventions	intervention	NOUN
cana-3377	168	16	including	include	VERB
cana-3377	168	17	vaccination	vaccination	NOUN
cana-3377	168	18	,	,	PUNCT
cana-3377	168	19	social	social	ADJ
cana-3377	168	20	distancing	distancing	NOUN
cana-3377	168	21	and	and	CCONJ
cana-3377	168	22	contact	contact	NOUN
cana-3377	168	23	tracing	trace	VERB
cana-3377	168	24	,	,	PUNCT
cana-3377	168	25	we	we	PRON
cana-3377	168	26	used	use	VERB
cana-3377	168	27	genetic	genetic	ADJ
cana-3377	168	28	algorithms	algorithm	NOUN
cana-3377	168	29	(	(	PUNCT
cana-3377	168	30	ga	ga	NOUN
cana-3377	168	31	)	)	PUNCT
cana-3377	168	32	.	.	PUNCT
cana-3377	169	1	the	the	DET
cana-3377	169	2	optimization	optimization	NOUN
cana-3377	169	3	criterion	criterion	NOUN
cana-3377	169	4	used	use	VERB
cana-3377	169	5	during	during	ADP
cana-3377	169	6	the	the	DET
cana-3377	169	7	optimization	optimization	NOUN
cana-3377	169	8	process	process	NOUN
cana-3377	169	9	sought	seek	VERB
cana-3377	169	10	to	to	PART
cana-3377	169	11	reduce	reduce	VERB
cana-3377	169	12	the	the	DET
cana-3377	169	13	number	number	NOUN
cana-3377	169	14	of	of	ADP
cana-3377	169	15	infections	infection	NOUN
cana-3377	169	16	at	at	ADP
cana-3377	169	17	a	a	DET
cana-3377	169	18	certain	certain	ADJ
cana-3377	169	19	point	point	NOUN
cana-3377	169	20	in	in	ADP
cana-3377	169	21	time	time	NOUN
cana-3377	169	22	given	give	VERB
cana-3377	169	23	the	the	DET
cana-3377	169	24	resources	resource	NOUN
cana-3377	169	25	available	available	ADJ
cana-3377	169	26	.	.	PUNCT
cana-3377	170	1	as	as	SCONJ
cana-3377	170	2	evidenced	evidence	VERB
cana-3377	170	3	from	from	ADP
cana-3377	170	4	data	datum	NOUN
cana-3377	170	5	,	,	PUNCT
cana-3377	170	6	reflected	reflect	VERB
cana-3377	170	7	in	in	ADP
cana-3377	170	8	table	table	NOUN
cana-3377	170	9	1	1	NUM
cana-3377	170	10	–	–	PUNCT
cana-3377	170	11	the	the	DET
cana-3377	170	12	results	result	NOUN
cana-3377	170	13	from	from	ADP
cana-3377	170	14	the	the	DET
cana-3377	170	15	optimization	optimization	NOUN
cana-3377	170	16	proved	prove	VERB
cana-3377	170	17	that	that	SCONJ
cana-3377	170	18	targeted	target	VERB
cana-3377	170	19	vaccination	vaccination	NOUN
cana-3377	170	20	and	and	CCONJ
cana-3377	170	21	initial	initial	ADJ
cana-3377	170	22	social	social	ADJ
cana-3377	170	23	distancing	distancing	NOUN
cana-3377	170	24	positively	positively	ADV
cana-3377	170	25	influenced	influence	VERB
cana-3377	170	26	the	the	DET
cana-3377	170	27	general	general	ADJ
cana-3377	170	28	flow	flow	NOUN
cana-3377	170	29	of	of	ADP
cana-3377	170	30	the	the	DET
cana-3377	170	31	disease	disease	NOUN
cana-3377	170	32	transmission	transmission	NOUN
cana-3377	170	33	.	.	PUNCT
cana-3377	171	1	of	of	ADP
cana-3377	171	2	the	the	DET
cana-3377	171	3	measures	measure	NOUN
cana-3377	171	4	taken	take	VERB
cana-3377	171	5	,	,	PUNCT
cana-3377	171	6	vaccination	vaccination	NOUN
cana-3377	171	7	ensured	ensure	VERB
cana-3377	171	8	a	a	DET
cana-3377	171	9	greater	great	ADJ
cana-3377	171	10	decrease	decrease	NOUN
cana-3377	171	11	in	in	ADP
cana-3377	171	12	the	the	DET
cana-3377	171	13	maximum	maximum	ADJ
cana-3377	171	14	value	value	NOUN
cana-3377	171	15	of	of	ADP
cana-3377	171	16	infections	infection	NOUN
cana-3377	171	17	,	,	PUNCT
cana-3377	171	18	particularly	particularly	ADV
cana-3377	171	19	at	at	ADP
cana-3377	171	20	the	the	DET
cana-3377	171	21	beginning	beginning	NOUN
cana-3377	171	22	of	of	ADP
cana-3377	171	23	the	the	DET
cana-3377	171	24	epidemic	epidemic	NOUN
cana-3377	171	25	process	process	NOUN
cana-3377	171	26	.	.	PUNCT
cana-3377	172	1	although	although	SCONJ
cana-3377	172	2	having	have	VERB
cana-3377	172	3	some	some	DET
cana-3377	172	4	effect	effect	NOUN
cana-3377	172	5	on	on	ADP
cana-3377	172	6	the	the	DET
cana-3377	172	7	epidemic	epidemic	NOUN
cana-3377	172	8	curve	curve	NOUN
cana-3377	172	9	,	,	PUNCT
cana-3377	172	10	social	social	ADJ
cana-3377	172	11	distancing	distancing	NOUN
cana-3377	172	12	occupied	occupy	VERB
cana-3377	172	13	a	a	DET
cana-3377	172	14	less	less	ADV
cana-3377	172	15	dramatic	dramatic	ADJ
cana-3377	172	16	position	position	NOUN
cana-3377	172	17	compared	compare	VERB
cana-3377	172	18	to	to	ADP
cana-3377	172	19	the	the	DET
cana-3377	172	20	role	role	NOUN
cana-3377	172	21	of	of	ADP
cana-3377	172	22	vaccination	vaccination	NOUN
cana-3377	172	23	which	which	PRON
cana-3377	172	24	contributed	contribute	VERB
cana-3377	172	25	to	to	ADP
cana-3377	172	26	delaying	delay	VERB
cana-3377	172	27	the	the	DET
cana-3377	172	28	peak	peak	NOUN
cana-3377	172	29	number	number	NOUN
cana-3377	172	30	of	of	ADP
cana-3377	172	31	cases	case	NOUN
cana-3377	172	32	and	and	CCONJ
cana-3377	172	33	spike	spike	NOUN
cana-3377	172	34	of	of	ADP
cana-3377	172	35	demand	demand	NOUN
cana-3377	172	36	for	for	ADP
cana-3377	172	37	health	health	NOUN
cana-3377	172	38	care	care	NOUN
cana-3377	172	39	services	service	NOUN
cana-3377	172	40	.	.	PUNCT
cana-3377	173	1	communications	communication	NOUN
cana-3377	173	2	on	on	ADP
cana-3377	173	3	applied	apply	VERB
cana-3377	173	4	nonlinear	nonlinear	ADJ
cana-3377	173	5	analysis	analysis	NOUN
cana-3377	173	6	issn	issn	NOUN
cana-3377	173	7	:	:	PUNCT
cana-3377	173	8	1074	1074	NUM
cana-3377	173	9	-	-	PUNCT
cana-3377	173	10	133x	133x	NUM
cana-3377	173	11	vol	vol	NOUN
cana-3377	173	12	32	32	NUM
cana-3377	173	13	no	no	NOUN
cana-3377	173	14	.	.	PUNCT
cana-3377	174	1	7s	7	NOUN
cana-3377	174	2	(	(	PUNCT
cana-3377	174	3	2025	2025	NUM
cana-3377	174	4	)	)	PUNCT
cana-3377	174	5	207	207	NUM
cana-3377	174	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3377	174	7	table	table	NOUN
cana-3377	174	8	1	1	NUM
cana-3377	174	9	:	:	PUNCT
cana-3377	174	10	impact	impact	NOUN
cana-3377	174	11	of	of	ADP
cana-3377	174	12	different	different	ADJ
cana-3377	174	13	intervention	intervention	NOUN
cana-3377	174	14	strategies	strategy	NOUN
cana-3377	174	15	on	on	ADP
cana-3377	174	16	epidemic	epidemic	NOUN
cana-3377	174	17	metrics	metric	NOUN
cana-3377	174	18	intervention	intervention	NOUN
cana-3377	174	19	strategy	strategy	NOUN
cana-3377	174	20	peak	peak	NOUN
cana-3377	174	21	infections	infection	NOUN
cana-3377	174	22	total	total	ADJ
cana-3377	174	23	infections	infection	NOUN
cana-3377	174	24	time	time	NOUN
cana-3377	174	25	to	to	PART
cana-3377	174	26	peak	peak	VERB
cana-3377	174	27	(	(	PUNCT
cana-3377	174	28	days	day	NOUN
cana-3377	174	29	)	)	PUNCT
cana-3377	174	30	no	no	DET
cana-3377	174	31	intervention	intervention	NOUN
cana-3377	174	32	8,000	8,000	NUM
cana-3377	174	33	9,500	9,500	NUM
cana-3377	174	34	30	30	NUM
cana-3377	174	35	early	early	ADJ
cana-3377	174	36	vaccination	vaccination	NOUN
cana-3377	174	37	2,500	2,500	NUM
cana-3377	174	38	3,500	3,500	NUM
cana-3377	174	39	20	20	NUM
cana-3377	174	40	social	social	ADJ
cana-3377	174	41	distancing	distance	VERB
cana-3377	174	42	4,000	4,000	NUM
cana-3377	174	43	5,000	5,000	NUM
cana-3377	174	44	25	25	NUM
cana-3377	174	45	combined	combine	VERB
cana-3377	174	46	vaccination	vaccination	NOUN
cana-3377	174	47	&	&	CCONJ
cana-3377	174	48	social	social	ADJ
cana-3377	174	49	distancing	distance	VERB
cana-3377	174	50	1,000	1,000	NUM
cana-3377	174	51	1,500	1,500	NUM
cana-3377	174	52	15	15	NUM
cana-3377	174	53	as	as	SCONJ
cana-3377	174	54	shown	show	VERB
cana-3377	174	55	in	in	ADP
cana-3377	174	56	table	table	NOUN
cana-3377	174	57	1	1	NUM
cana-3377	174	58	,	,	PUNCT
cana-3377	174	59	group	group	NOUN
cana-3377	174	60	means	mean	VERB
cana-3377	174	61	for	for	ADP
cana-3377	174	62	intervention	intervention	NOUN
cana-3377	174	63	strategies	strategy	NOUN
cana-3377	174	64	’	'	PUNCT
cana-3377	174	65	effectiveness	effectiveness	NOUN
cana-3377	174	66	are	be	AUX
cana-3377	174	67	examined	examine	VERB
cana-3377	174	68	.	.	PUNCT
cana-3377	175	1	to	to	PART
cana-3377	175	2	facilitate	facilitate	VERB
cana-3377	175	3	the	the	DET
cana-3377	175	4	comparison	comparison	NOUN
cana-3377	175	5	between	between	ADP
cana-3377	175	6	the	the	DET
cana-3377	175	7	two	two	NUM
cana-3377	175	8	types	type	NOUN
cana-3377	175	9	of	of	ADP
cana-3377	175	10	epidemics	epidemic	NOUN
cana-3377	175	11	,	,	PUNCT
cana-3377	175	12	the	the	DET
cana-3377	175	13	peaks	peak	NOUN
cana-3377	175	14	in	in	ADP
cana-3377	175	15	each	each	DET
cana-3377	175	16	epidemic	epidemic	NOUN
cana-3377	175	17	are	be	AUX
cana-3377	175	18	identified	identify	VERB
cana-3377	175	19	by	by	ADP
cana-3377	175	20	the	the	DET
cana-3377	175	21	“	"	PUNCT
cana-3377	175	22	peak	peak	NOUN
cana-3377	175	23	infections	infection	NOUN
cana-3377	175	24	”	"	PUNCT
cana-3377	175	25	column	column	NOUN
cana-3377	175	26	,	,	PUNCT
cana-3377	175	27	which	which	PRON
cana-3377	175	28	enumerates	enumerate	VERB
cana-3377	175	29	the	the	DET
cana-3377	175	30	highest	high	ADJ
cana-3377	175	31	total	total	ADJ
cana-3377	175	32	number	number	NOUN
cana-3377	175	33	of	of	ADP
cana-3377	175	34	infections	infection	NOUN
cana-3377	175	35	observed	observe	VERB
cana-3377	175	36	during	during	ADP
cana-3377	175	37	the	the	DET
cana-3377	175	38	epidemic	epidemic	NOUN
cana-3377	175	39	,	,	PUNCT
cana-3377	175	40	or	or	CCONJ
cana-3377	175	41	“	"	PUNCT
cana-3377	175	42	total	total	ADJ
cana-3377	175	43	infections	infection	NOUN
cana-3377	175	44	,	,	PUNCT
cana-3377	175	45	”	"	PUNCT
cana-3377	175	46	where	where	SCONJ
cana-3377	175	47	the	the	DET
cana-3377	175	48	sum	sum	NOUN
cana-3377	175	49	of	of	ADP
cana-3377	175	50	new	new	ADJ
cana-3377	175	51	cases	case	NOUN
cana-3377	175	52	for	for	ADP
cana-3377	175	53	an	an	DET
cana-3377	175	54	epidemic	epidemic	NOUN
cana-3377	175	55	provides	provide	VERB
cana-3377	175	56	the	the	DET
cana-3377	175	57	overall	overall	ADJ
cana-3377	175	58	measure	measure	NOUN
cana-3377	175	59	of	of	ADP
cana-3377	175	60	infection	infection	NOUN
cana-3377	175	61	.	.	PUNCT
cana-3377	176	1	the	the	DET
cana-3377	176	2	last	last	ADJ
cana-3377	176	3	column	column	NOUN
cana-3377	176	4	of	of	ADP
cana-3377	176	5	the	the	DET
cana-3377	176	6	graph	graph	NOUN
cana-3377	176	7	denotes	denote	VERB
cana-3377	176	8	the	the	DET
cana-3377	176	9	period	period	NOUN
cana-3377	176	10	to	to	ADP
cana-3377	176	11	peak	peak	NOUN
cana-3377	176	12	,	,	PUNCT
cana-3377	176	13	which	which	PRON
cana-3377	176	14	is	be	AUX
cana-3377	176	15	the	the	DET
cana-3377	176	16	period	period	NOUN
cana-3377	176	17	it	it	PRON
cana-3377	176	18	takes	take	VERB
cana-3377	176	19	to	to	ADP
cana-3377	176	20	standard	standard	NOUN
cana-3377	176	21	reach	reach	VERB
cana-3377	176	22	the	the	DET
cana-3377	176	23	peak	peak	NOUN
cana-3377	176	24	of	of	ADP
cana-3377	176	25	the	the	DET
cana-3377	176	26	epidemics	epidemic	NOUN
cana-3377	176	27	.	.	PUNCT
cana-3377	177	1	as	as	SCONJ
cana-3377	177	2	it	it	PRON
cana-3377	177	3	can	can	AUX
cana-3377	177	4	be	be	AUX
cana-3377	177	5	deduced	deduce	VERB
cana-3377	177	6	from	from	ADP
cana-3377	177	7	the	the	DET
cana-3377	177	8	table	table	NOUN
cana-3377	177	9	above	above	ADV
cana-3377	177	10	,	,	PUNCT
cana-3377	177	11	a	a	DET
cana-3377	177	12	form	form	NOUN
cana-3377	177	13	of	of	ADP
cana-3377	177	14	early	early	ADJ
cana-3377	177	15	intervention	intervention	NOUN
cana-3377	177	16	,	,	PUNCT
cana-3377	177	17	especially	especially	ADV
cana-3377	177	18	through	through	ADP
cana-3377	177	19	vaccination	vaccination	NOUN
cana-3377	177	20	,	,	PUNCT
cana-3377	177	21	would	would	AUX
cana-3377	177	22	help	help	VERB
cana-3377	177	23	to	to	PART
cana-3377	177	24	ensure	ensure	VERB
cana-3377	177	25	the	the	DET
cana-3377	177	26	reduction	reduction	NOUN
cana-3377	177	27	of	of	ADP
cana-3377	177	28	the	the	DET
cana-3377	177	29	number	number	NOUN
cana-3377	177	30	of	of	ADP
cana-3377	177	31	peak	peak	NOUN
cana-3377	177	32	infections	infection	NOUN
cana-3377	177	33	and	and	CCONJ
cana-3377	177	34	shorten	shorten	VERB
cana-3377	177	35	the	the	DET
cana-3377	177	36	time	time	NOUN
cana-3377	177	37	taken	take	VERB
cana-3377	177	38	for	for	SCONJ
cana-3377	177	39	the	the	DET
cana-3377	177	40	virus	virus	NOUN
cana-3377	177	41	to	to	PART
cana-3377	177	42	peak	peak	VERB
cana-3377	177	43	.	.	PUNCT
cana-3377	178	1	table	table	NOUN
cana-3377	178	2	2	2	NUM
cana-3377	178	3	:	:	PUNCT
cana-3377	178	4	comparison	comparison	NOUN
cana-3377	178	5	of	of	ADP
cana-3377	178	6	prediction	prediction	NOUN
cana-3377	178	7	accuracy	accuracy	NOUN
cana-3377	178	8	across	across	ADP
cana-3377	178	9	epidemiological	epidemiological	ADJ
cana-3377	178	10	models	model	NOUN
cana-3377	178	11	model	model	NOUN
cana-3377	178	12	type	type	NOUN
cana-3377	178	13	prediction	prediction	NOUN
cana-3377	178	14	accuracy	accuracy	NOUN
cana-3377	178	15	(	(	PUNCT
cana-3377	178	16	%	%	INTJ
cana-3377	178	17	)	)	PUNCT
cana-3377	178	18	number	number	NOUN
cana-3377	178	19	of	of	ADP
cana-3377	178	20	parameters	parameter	NOUN
cana-3377	178	21	fit	fit	ADJ
cana-3377	178	22	to	to	ADP
cana-3377	178	23	observed	observe	VERB
cana-3377	178	24	data	datum	NOUN
cana-3377	178	25	(	(	PUNCT
cana-3377	178	26	rmse	rmse	PROPN
cana-3377	178	27	)	)	PUNCT
cana-3377	178	28	sir	sir	NOUN
cana-3377	178	29	85	85	NUM
cana-3377	178	30	%	%	NOUN
cana-3377	178	31	3	3	NUM
cana-3377	178	32	0.23	0.23	NUM
cana-3377	178	33	seir	seir	NOUN
cana-3377	178	34	90	90	NUM
cana-3377	178	35	%	%	NOUN
cana-3377	178	36	4	4	NUM
cana-3377	178	37	0.19	0.19	NUM
cana-3377	178	38	seirs	seir	NOUN
cana-3377	178	39	95	95	NUM
cana-3377	178	40	%	%	NOUN
cana-3377	178	41	5	5	NUM
cana-3377	178	42	0.14	0.14	NUM
cana-3377	178	43	to	to	PART
cana-3377	178	44	assess	assess	VERB
cana-3377	178	45	how	how	SCONJ
cana-3377	178	46	well	well	ADV
cana-3377	178	47	the	the	DET
cana-3377	178	48	proposed	propose	VERB
cana-3377	178	49	model	model	NOUN
cana-3377	178	50	performs	perform	VERB
cana-3377	178	51	,	,	PUNCT
cana-3377	178	52	i	i	PRON
cana-3377	178	53	compared	compare	VERB
cana-3377	178	54	it	it	PRON
cana-3377	178	55	with	with	ADP
cana-3377	178	56	other	other	ADJ
cana-3377	178	57	traditional	traditional	ADJ
cana-3377	178	58	models	model	NOUN
cana-3377	178	59	ordinarily	ordinarily	ADV
cana-3377	178	60	used	use	VERB
cana-3377	178	61	by	by	ADP
cana-3377	178	62	the	the	DET
cana-3377	178	63	epidemiologist	epidemiologist	NOUN
cana-3377	178	64	.	.	PUNCT
cana-3377	179	1	the	the	DET
cana-3377	179	2	above	above	ADJ
cana-3377	179	3	comparison	comparison	NOUN
cana-3377	179	4	in	in	ADP
cana-3377	179	5	table	table	NOUN
cana-3377	179	6	2	2	NUM
cana-3377	179	7	shows	show	VERB
cana-3377	179	8	the	the	DET
cana-3377	179	9	disparity	disparity	NOUN
cana-3377	179	10	in	in	ADP
cana-3377	179	11	the	the	DET
cana-3377	179	12	schedule	schedule	NOUN
cana-3377	179	13	of	of	ADP
cana-3377	179	14	the	the	DET
cana-3377	179	15	models	model	NOUN
cana-3377	179	16	,	,	PUNCT
cana-3377	179	17	specifically	specifically	ADV
cana-3377	179	18	,	,	PUNCT
cana-3377	179	19	sir	sir	NOUN
cana-3377	179	20	,	,	PUNCT
cana-3377	179	21	seir	seir	NOUN
cana-3377	179	22	,	,	PUNCT
cana-3377	179	23	and	and	CCONJ
cana-3377	179	24	seirs	seir	NOUN
cana-3377	179	25	and	and	CCONJ
cana-3377	179	26	found	find	VERB
cana-3377	179	27	that	that	SCONJ
cana-3377	179	28	the	the	DET
cana-3377	179	29	seirs	seirs	PROPN
cana-3377	179	30	model	model	NOUN
cana-3377	179	31	offered	offer	VERB
cana-3377	179	32	the	the	DET
cana-3377	179	33	best	good	ADJ
cana-3377	179	34	understanding	understanding	NOUN
cana-3377	179	35	of	of	ADP
cana-3377	179	36	the	the	DET
cana-3377	179	37	data	datum	NOUN
cana-3377	179	38	and	and	CCONJ
cana-3377	179	39	anticipated	anticipate	VERB
cana-3377	179	40	results	result	NOUN
cana-3377	179	41	in	in	ADP
cana-3377	179	42	the	the	DET
cana-3377	179	43	future	future	NOUN
cana-3377	179	44	.	.	PUNCT
cana-3377	180	1	influenza	influenza	NOUN
cana-3377	180	2	for	for	ADP
cana-3377	180	3	example	example	NOUN
cana-3377	180	4	has	have	VERB
cana-3377	180	5	recurrent	recurrent	ADJ
cana-3377	180	6	cycles	cycle	NOUN
cana-3377	180	7	,	,	PUNCT
cana-3377	180	8	seirs	seir	NOUN
cana-3377	180	9	incorporated	incorporate	VERB
cana-3377	180	10	re	re	NOUN
cana-3377	180	11	-	-	NOUN
cana-3377	180	12	infection	infection	NOUN
cana-3377	180	13	and	and	CCONJ
cana-3377	180	14	immunity	immunity	NOUN
cana-3377	180	15	waning	wane	VERB
cana-3377	180	16	hence	hence	ADV
cana-3377	180	17	were	be	AUX
cana-3377	180	18	more	more	ADV
cana-3377	180	19	applicable	applicable	ADJ
cana-3377	180	20	.	.	PUNCT
cana-3377	181	1	sir	sir	NOUN
cana-3377	181	2	and	and	CCONJ
cana-3377	181	3	seir	seir	NOUN
cana-3377	181	4	models	model	NOUN
cana-3377	181	5	were	be	AUX
cana-3377	181	6	slightly	slightly	ADV
cana-3377	181	7	less	less	ADV
cana-3377	181	8	suitable	suitable	ADJ
cana-3377	181	9	in	in	ADP
cana-3377	181	10	simulating	simulate	VERB
cana-3377	181	11	all	all	DET
cana-3377	181	12	the	the	DET
cana-3377	181	13	complexities	complexity	NOUN
cana-3377	181	14	of	of	ADP
cana-3377	181	15	these	these	DET
cana-3377	181	16	diseases	disease	NOUN
cana-3377	181	17	especially	especially	ADV
cana-3377	181	18	when	when	SCONJ
cana-3377	181	19	immunity	immunity	NOUN
cana-3377	181	20	is	be	AUX
cana-3377	181	21	temporal	temporal	ADJ
cana-3377	181	22	.	.	PUNCT
cana-3377	182	1	the	the	DET
cana-3377	182	2	findings	finding	NOUN
cana-3377	182	3	derived	derive	VERB
cana-3377	182	4	from	from	ADP
cana-3377	182	5	the	the	DET
cana-3377	182	6	above	above	ADJ
cana-3377	182	7	simulations	simulation	NOUN
cana-3377	182	8	and	and	CCONJ
cana-3377	182	9	comparisons	comparison	NOUN
cana-3377	182	10	clearly	clearly	ADV
cana-3377	182	11	demonstrate	demonstrate	VERB
cana-3377	182	12	the	the	DET
cana-3377	182	13	transportability	transportability	NOUN
cana-3377	182	14	of	of	ADP
cana-3377	182	15	the	the	DET
cana-3377	182	16	model	model	NOUN
cana-3377	182	17	to	to	ADP
cana-3377	182	18	various	various	ADJ
cana-3377	182	19	diseases	disease	NOUN
cana-3377	182	20	and	and	CCONJ
cana-3377	182	21	intervention	intervention	NOUN
cana-3377	182	22	approaches	approach	NOUN
cana-3377	182	23	.	.	PUNCT
cana-3377	183	1	through	through	ADP
cana-3377	183	2	the	the	DET
cana-3377	183	3	introduction	introduction	NOUN
cana-3377	183	4	of	of	ADP
cana-3377	183	5	machine	machine	NOUN
cana-3377	183	6	learning	learning	NOUN
cana-3377	183	7	and	and	CCONJ
cana-3377	183	8	optimization	optimization	NOUN
cana-3377	183	9	principles	principle	NOUN
cana-3377	183	10	,	,	PUNCT
cana-3377	183	11	the	the	DET
cana-3377	183	12	model	model	NOUN
cana-3377	183	13	can	can	AUX
cana-3377	183	14	be	be	AUX
cana-3377	183	15	presented	present	VERB
cana-3377	183	16	with	with	ADP
cana-3377	183	17	updated	update	VERB
cana-3377	183	18	parameters	parameter	NOUN
cana-3377	183	19	for	for	ADP
cana-3377	183	20	adjusting	adjust	VERB
cana-3377	183	21	to	to	ADP
cana-3377	183	22	the	the	DET
cana-3377	183	23	current	current	ADJ
cana-3377	183	24	state	state	NOUN
cana-3377	183	25	of	of	ADP
cana-3377	183	26	the	the	DET
cana-3377	183	27	diseases	disease	NOUN
cana-3377	183	28	and	and	CCONJ
cana-3377	183	29	making	make	VERB
cana-3377	183	30	short	short	ADJ
cana-3377	183	31	term	term	NOUN
cana-3377	183	32	forecasts	forecast	NOUN
cana-3377	183	33	and	and	CCONJ
cana-3377	183	34	long	long	ADJ
cana-3377	183	35	-	-	PUNCT
cana-3377	183	36	term	term	NOUN
cana-3377	183	37	strategies	strategy	NOUN
cana-3377	183	38	.	.	PUNCT
cana-3377	184	1	spatial	spatial	ADJ
cana-3377	184	2	dynamics	dynamic	NOUN
cana-3377	184	3	are	be	AUX
cana-3377	184	4	also	also	ADV
cana-3377	184	5	incorporated	incorporate	VERB
cana-3377	184	6	into	into	ADP
cana-3377	184	7	the	the	DET
cana-3377	184	8	model	model	NOUN
cana-3377	184	9	and	and	CCONJ
cana-3377	184	10	increase	increase	VERB
cana-3377	184	11	the	the	DET
cana-3377	184	12	level	level	NOUN
cana-3377	184	13	of	of	ADP
cana-3377	184	14	realism	realism	NOUN
cana-3377	184	15	in	in	ADP
cana-3377	184	16	relation	relation	NOUN
cana-3377	184	17	to	to	ADP
cana-3377	184	18	determining	determine	VERB
cana-3377	184	19	the	the	DET
cana-3377	184	20	dynamics	dynamic	NOUN
cana-3377	184	21	of	of	ADP
cana-3377	184	22	the	the	DET
cana-3377	184	23	disease	disease	NOUN
cana-3377	184	24	across	across	ADP
cana-3377	184	25	different	different	ADJ
cana-3377	184	26	zones	zone	NOUN
cana-3377	184	27	of	of	ADP
cana-3377	184	28	density	density	NOUN
cana-3377	184	29	.	.	PUNCT
cana-3377	185	1	the	the	DET
cana-3377	185	2	improved	improve	VERB
cana-3377	185	3	performance	performance	NOUN
cana-3377	185	4	of	of	ADP
cana-3377	185	5	the	the	DET
cana-3377	185	6	proposed	propose	VERB
cana-3377	185	7	model	model	NOUN
cana-3377	185	8	over	over	ADP
cana-3377	185	9	more	more	ADJ
cana-3377	185	10	conventional	conventional	ADJ
cana-3377	185	11	structures	structure	NOUN
cana-3377	185	12	presents	present	VERB
cana-3377	185	13	a	a	DET
cana-3377	185	14	compelling	compelling	ADJ
cana-3377	185	15	argument	argument	NOUN
cana-3377	185	16	for	for	ADP
cana-3377	185	17	incorporating	incorporate	VERB
cana-3377	185	18	further	further	ADJ
cana-3377	185	19	compartments	compartment	NOUN
cana-3377	185	20	like	like	ADP
cana-3377	185	21	exposed	expose	VERB
cana-3377	185	22	populations	population	NOUN
cana-3377	185	23	and	and	CCONJ
cana-3377	185	24	reinfection	reinfection	NOUN
cana-3377	185	25	loops	loop	NOUN
cana-3377	185	26	,	,	PUNCT
cana-3377	185	27	in	in	ADP
cana-3377	185	28	addition	addition	NOUN
cana-3377	185	29	to	to	ADP
cana-3377	185	30	the	the	DET
cana-3377	185	31	spatial	spatial	ADJ
cana-3377	185	32	factor	factor	NOUN
cana-3377	185	33	in	in	ADP
cana-3377	185	34	modeling	model	VERB
cana-3377	185	35	disease	disease	NOUN
cana-3377	185	36	transmission	transmission	NOUN
cana-3377	185	37	.	.	PUNCT
cana-3377	186	1	these	these	PRON
cana-3377	186	2	findings	finding	VERB
cana-3377	186	3	communications	communication	NOUN
cana-3377	186	4	on	on	ADP
cana-3377	186	5	applied	apply	VERB
cana-3377	186	6	nonlinear	nonlinear	ADJ
cana-3377	186	7	analysis	analysis	NOUN
cana-3377	186	8	issn	issn	NOUN
cana-3377	186	9	:	:	PUNCT
cana-3377	186	10	1074	1074	NUM
cana-3377	186	11	-	-	PUNCT
cana-3377	186	12	133x	133x	NUM
cana-3377	186	13	vol	vol	NOUN
cana-3377	186	14	32	32	NUM
cana-3377	186	15	no	no	NOUN
cana-3377	186	16	.	.	PUNCT
cana-3377	187	1	7s	7	NOUN
cana-3377	187	2	(	(	PUNCT
cana-3377	187	3	2025	2025	NUM
cana-3377	187	4	)	)	PUNCT
cana-3377	187	5	208	208	NUM
cana-3377	187	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3377	187	7	support	support	VERB
cana-3377	187	8	the	the	DET
cana-3377	187	9	notion	notion	NOUN
cana-3377	187	10	that	that	SCONJ
cana-3377	187	11	,	,	PUNCT
cana-3377	187	12	with	with	ADP
cana-3377	187	13	the	the	DET
cana-3377	187	14	application	application	NOUN
cana-3377	187	15	of	of	ADP
cana-3377	187	16	machine	machine	NOUN
cana-3377	187	17	learning	learn	VERB
cana-3377	187	18	for	for	ADP
cana-3377	187	19	parameter	parameter	NOUN
cana-3377	187	20	optimization	optimization	NOUN
cana-3377	187	21	,	,	PUNCT
cana-3377	187	22	and	and	CCONJ
cana-3377	187	23	of	of	ADP
cana-3377	187	24	evolutionary	evolutionary	ADJ
cana-3377	187	25	algorithms	algorithm	NOUN
cana-3377	187	26	for	for	ADP
cana-3377	187	27	intervention	intervention	NOUN
cana-3377	187	28	optimization	optimization	NOUN
cana-3377	187	29	,	,	PUNCT
cana-3377	187	30	there	there	PRON
cana-3377	187	31	would	would	AUX
cana-3377	187	32	be	be	AUX
cana-3377	187	33	enhanced	enhance	VERB
cana-3377	187	34	disease	disease	NOUN
cana-3377	187	35	control	control	NOUN
cana-3377	187	36	effectiveness	effectiveness	NOUN
cana-3377	187	37	.	.	PUNCT
cana-3377	188	1	the	the	DET
cana-3377	188	2	output	output	NOUN
cana-3377	188	3	of	of	ADP
cana-3377	188	4	our	our	PRON
cana-3377	188	5	model	model	NOUN
cana-3377	188	6	reveals	reveal	VERB
cana-3377	188	7	important	important	ADJ
cana-3377	188	8	characteristics	characteristic	NOUN
cana-3377	188	9	regarding	regard	VERB
cana-3377	188	10	the	the	DET
cana-3377	188	11	transmission	transmission	NOUN
cana-3377	188	12	of	of	ADP
cana-3377	188	13	infectious	infectious	ADJ
cana-3377	188	14	diseases	disease	NOUN
cana-3377	188	15	,	,	PUNCT
cana-3377	188	16	effectiveness	effectiveness	NOUN
cana-3377	188	17	of	of	ADP
cana-3377	188	18	the	the	DET
cana-3377	188	19	interventions	intervention	NOUN
cana-3377	188	20	and	and	CCONJ
cana-3377	188	21	effects	effect	NOUN
cana-3377	188	22	of	of	ADP
cana-3377	188	23	different	different	ADJ
cana-3377	188	24	parameters	parameter	NOUN
cana-3377	188	25	.	.	PUNCT
cana-3377	189	1	because	because	SCONJ
cana-3377	189	2	it	it	PRON
cana-3377	189	3	considers	consider	VERB
cana-3377	189	4	both	both	CCONJ
cana-3377	189	5	the	the	DET
cana-3377	189	6	theoretical	theoretical	ADJ
cana-3377	189	7	and	and	CCONJ
cana-3377	189	8	practical	practical	ADJ
cana-3377	189	9	sides	side	NOUN
cana-3377	189	10	of	of	ADP
cana-3377	189	11	disease	disease	NOUN
cana-3377	189	12	modeling	modeling	NOUN
cana-3377	189	13	,	,	PUNCT
cana-3377	189	14	the	the	DET
cana-3377	189	15	methodology	methodology	NOUN
cana-3377	189	16	proposed	propose	VERB
cana-3377	189	17	here	here	ADV
cana-3377	189	18	is	be	AUX
cana-3377	189	19	more	more	ADV
cana-3377	189	20	precise	precise	ADJ
cana-3377	189	21	,	,	PUNCT
cana-3377	189	22	versatile	versatile	ADJ
cana-3377	189	23	and	and	CCONJ
cana-3377	189	24	scalable	scalable	ADJ
cana-3377	189	25	than	than	SCONJ
cana-3377	189	26	others	other	NOUN
cana-3377	189	27	available	available	ADJ
cana-3377	189	28	.	.	PUNCT
cana-3377	190	1	machine	machine	NOUN
cana-3377	190	2	learning	learning	NOUN
cana-3377	190	3	,	,	PUNCT
cana-3377	190	4	optimization	optimization	NOUN
cana-3377	190	5	,	,	PUNCT
cana-3377	190	6	and	and	CCONJ
cana-3377	190	7	spatial	spatial	ADJ
cana-3377	190	8	modeling	modeling	NOUN
cana-3377	190	9	have	have	AUX
cana-3377	190	10	expanded	expand	VERB
cana-3377	190	11	the	the	DET
cana-3377	190	12	capabilities	capability	NOUN
cana-3377	190	13	of	of	ADP
cana-3377	190	14	epidemiology	epidemiology	NOUN
cana-3377	190	15	to	to	ADP
cana-3377	190	16	the	the	DET
cana-3377	190	17	extent	extent	NOUN
cana-3377	190	18	that	that	SCONJ
cana-3377	190	19	it	it	PRON
cana-3377	190	20	offers	offer	VERB
cana-3377	190	21	actionable	actionable	ADJ
cana-3377	190	22	tools	tool	NOUN
cana-3377	190	23	worth	worth	ADJ
cana-3377	190	24	using	use	VERB
cana-3377	190	25	in	in	ADP
cana-3377	190	26	future	future	ADJ
cana-3377	190	27	outbreaks	outbreak	NOUN
cana-3377	190	28	.	.	PUNCT
cana-3377	191	1	v.	v.	ADP
cana-3377	191	2	conclusion	conclusion	NOUN
cana-3377	191	3	the	the	DET
cana-3377	191	4	application	application	NOUN
cana-3377	191	5	of	of	ADP
cana-3377	191	6	differential	differential	ADJ
cana-3377	191	7	equations	equation	NOUN
cana-3377	191	8	to	to	PART
cana-3377	191	9	mathematical	mathematical	ADJ
cana-3377	191	10	modeling	modeling	NOUN
cana-3377	191	11	is	be	AUX
cana-3377	191	12	important	important	ADJ
cana-3377	191	13	in	in	ADP
cana-3377	191	14	the	the	DET
cana-3377	191	15	study	study	NOUN
cana-3377	191	16	of	of	ADP
cana-3377	191	17	the	the	DET
cana-3377	191	18	dynamics	dynamic	NOUN
cana-3377	191	19	of	of	ADP
cana-3377	191	20	contagious	contagious	ADJ
cana-3377	191	21	diseases	disease	NOUN
cana-3377	191	22	.	.	PUNCT
cana-3377	192	1	since	since	SCONJ
cana-3377	192	2	compartments	compartment	NOUN
cana-3377	192	3	depict	depict	VERB
cana-3377	192	4	vulnerable	vulnerable	ADJ
cana-3377	192	5	,	,	PUNCT
cana-3377	192	6	infected	infected	ADJ
cana-3377	192	7	,	,	PUNCT
cana-3377	192	8	and	and	CCONJ
cana-3377	192	9	recovered	recover	VERB
cana-3377	192	10	persons	person	NOUN
cana-3377	192	11	,	,	PUNCT
cana-3377	192	12	the	the	DET
cana-3377	192	13	compartmental	compartmental	ADJ
cana-3377	192	14	models	model	NOUN
cana-3377	192	15	help	help	VERB
cana-3377	192	16	the	the	DET
cana-3377	192	17	actual	actual	ADJ
cana-3377	192	18	depiction	depiction	NOUN
cana-3377	192	19	of	of	ADP
cana-3377	192	20	disease	disease	NOUN
cana-3377	192	21	dynamics	dynamic	NOUN
cana-3377	192	22	and	and	CCONJ
cana-3377	192	23	the	the	DET
cana-3377	192	24	planning	planning	NOUN
cana-3377	192	25	of	of	ADP
cana-3377	192	26	possible	possible	ADJ
cana-3377	192	27	health	health	NOUN
cana-3377	192	28	interventions	intervention	NOUN
cana-3377	192	29	.	.	PUNCT
cana-3377	193	1	these	these	PRON
cana-3377	193	2	are	be	AUX
cana-3377	193	3	some	some	PRON
cana-3377	193	4	of	of	ADP
cana-3377	193	5	the	the	DET
cana-3377	193	6	simplest	simple	ADJ
cana-3377	193	7	models	model	NOUN
cana-3377	193	8	in	in	ADP
cana-3377	193	9	epidemiology	epidemiology	NOUN
cana-3377	193	10	,	,	PUNCT
cana-3377	193	11	and	and	CCONJ
cana-3377	193	12	their	their	PRON
cana-3377	193	13	derivatives	derivative	NOUN
cana-3377	193	14	provide	provide	VERB
cana-3377	193	15	ways	way	NOUN
cana-3377	193	16	to	to	PART
cana-3377	193	17	address	address	VERB
cana-3377	193	18	problems	problem	NOUN
cana-3377	193	19	generated	generate	VERB
cana-3377	193	20	by	by	ADP
cana-3377	193	21	natural	natural	ADJ
cana-3377	193	22	disease	disease	NOUN
cana-3377	193	23	epidemics	epidemic	NOUN
cana-3377	193	24	.	.	PUNCT
cana-3377	194	1	this	this	DET
cana-3377	194	2	paper	paper	NOUN
cana-3377	194	3	focuses	focus	VERB
cana-3377	194	4	on	on	ADP
cana-3377	194	5	the	the	DET
cana-3377	194	6	models	model	NOUN
cana-3377	194	7	showing	show	VERB
cana-3377	194	8	a	a	DET
cana-3377	194	9	comparison	comparison	NOUN
cana-3377	194	10	of	of	ADP
cana-3377	194	11	covid-19	covid-19	PROPN
cana-3377	194	12	and	and	CCONJ
cana-3377	194	13	these	these	DET
cana-3377	194	14	models	model	NOUN
cana-3377	194	15	demonstrate	demonstrate	VERB
cana-3377	194	16	the	the	DET
cana-3377	194	17	evaluation	evaluation	NOUN
cana-3377	194	18	of	of	ADP
cana-3377	194	19	the	the	DET
cana-3377	194	20	extent	extent	NOUN
cana-3377	194	21	of	of	ADP
cana-3377	194	22	the	the	DET
cana-3377	194	23	disease	disease	NOUN
cana-3377	194	24	and	and	CCONJ
cana-3377	194	25	monitoring	monitor	VERB
cana-3377	194	26	through	through	ADP
cana-3377	194	27	vaccination	vaccination	NOUN
cana-3377	194	28	,	,	PUNCT
cana-3377	194	29	quarantine	quarantine	NOUN
cana-3377	194	30	,	,	PUNCT
cana-3377	194	31	and	and	CCONJ
cana-3377	194	32	social	social	ADJ
cana-3377	194	33	distancing	distancing	NOUN
cana-3377	194	34	.	.	PUNCT
cana-3377	195	1	it	it	PRON
cana-3377	195	2	is	be	AUX
cana-3377	195	3	now	now	ADV
cana-3377	195	4	hoped	hope	VERB
cana-3377	195	5	that	that	SCONJ
cana-3377	195	6	the	the	DET
cana-3377	195	7	complexities	complexity	NOUN
cana-3377	195	8	created	create	VERB
cana-3377	195	9	by	by	ADP
cana-3377	195	10	factors	factor	NOUN
cana-3377	195	11	3	3	NUM
cana-3377	195	12	and	and	CCONJ
cana-3377	195	13	4	4	NUM
cana-3377	195	14	noted	note	VERB
cana-3377	195	15	above	above	ADV
cana-3377	195	16	,	,	PUNCT
cana-3377	195	17	at	at	ADP
cana-3377	195	18	the	the	DET
cana-3377	195	19	population	population	NOUN
cana-3377	195	20	,	,	PUNCT
cana-3377	195	21	sub	sub	NOUN
cana-3377	195	22	-	-	NOUN
cana-3377	195	23	population	population	NOUN
cana-3377	195	24	,	,	PUNCT
cana-3377	195	25	disease	disease	NOUN
cana-3377	195	26	agent	agent	NOUN
cana-3377	195	27	and	and	CCONJ
cana-3377	195	28	environment	environment	NOUN
cana-3377	195	29	,	,	PUNCT
cana-3377	195	30	can	can	AUX
cana-3377	195	31	be	be	AUX
cana-3377	195	32	added	add	VERB
cana-3377	195	33	to	to	ADP
cana-3377	195	34	the	the	DET
cana-3377	195	35	models	model	NOUN
cana-3377	195	36	in	in	ADP
cana-3377	195	37	future	future	ADJ
cana-3377	195	38	work	work	NOUN
cana-3377	195	39	,	,	PUNCT
cana-3377	195	40	including	include	VERB
cana-3377	195	41	geographic	geographic	ADJ
cana-3377	195	42	spread	spread	NOUN
cana-3377	195	43	,	,	PUNCT
cana-3377	195	44	individual	individual	ADJ
cana-3377	195	45	behavior	behavior	NOUN
cana-3377	195	46	and	and	CCONJ
cana-3377	195	47	multiple	multiple	ADJ
cana-3377	195	48	populations	population	NOUN
cana-3377	195	49	diffusion	diffusion	NOUN
cana-3377	195	50	.	.	PUNCT
cana-3377	196	1	finally	finally	ADV
cana-3377	196	2	,	,	PUNCT
cana-3377	196	3	differential	differential	ADJ
cana-3377	196	4	equation	equation	NOUN
cana-3377	196	5	-	-	PUNCT
cana-3377	196	6	based	base	VERB
cana-3377	196	7	models	model	NOUN
cana-3377	196	8	will	will	AUX
cana-3377	196	9	also	also	ADV
cana-3377	196	10	remain	remain	VERB
cana-3377	196	11	as	as	ADP
cana-3377	196	12	an	an	DET
cana-3377	196	13	indispensable	indispensable	ADJ
cana-3377	196	14	weapon	weapon	NOUN
cana-3377	196	15	in	in	ADP
cana-3377	196	16	combating	combat	VERB
cana-3377	196	17	infectious	infectious	ADJ
cana-3377	196	18	diseases	disease	NOUN
cana-3377	196	19	to	to	PART
cana-3377	196	20	improve	improve	VERB
cana-3377	196	21	human	human	ADJ
cana-3377	196	22	lives	life	NOUN
cana-3377	196	23	’	'	PUNCT
cana-3377	196	24	quality	quality	NOUN
cana-3377	196	25	.	.	PUNCT
cana-3377	197	1	references	reference	NOUN
cana-3377	197	2	[	[	X
cana-3377	197	3	1	1	NUM
cana-3377	197	4	]	]	PUNCT
cana-3377	197	5	kermack	kermack	NOUN
cana-3377	197	6	,	,	PUNCT
cana-3377	197	7	w.o	w.o	PROPN
cana-3377	197	8	.	.	PROPN
cana-3377	197	9	,	,	PUNCT
cana-3377	197	10	mckendrick	mckendrick	PROPN
cana-3377	197	11	,	,	PUNCT
cana-3377	197	12	a.g	a.g	PROPN
cana-3377	197	13	.	.	PROPN
cana-3377	197	14	,	,	PUNCT
cana-3377	197	15	"	"	PUNCT
cana-3377	197	16	a	a	DET
cana-3377	197	17	contribution	contribution	NOUN
cana-3377	197	18	to	to	ADP
cana-3377	197	19	the	the	DET
cana-3377	197	20	mathematical	mathematical	ADJ
cana-3377	197	21	theory	theory	NOUN
cana-3377	197	22	of	of	ADP
cana-3377	197	23	epidemics	epidemic	NOUN
cana-3377	197	24	"	"	PUNCT
cana-3377	197	25	,	,	PUNCT
cana-3377	197	26	proceedings	proceeding	NOUN
cana-3377	197	27	of	of	ADP
cana-3377	197	28	the	the	DET
cana-3377	197	29	royal	royal	ADJ
cana-3377	197	30	society	society	NOUN
cana-3377	197	31	of	of	ADP
cana-3377	197	32	london	london	PROPN
cana-3377	197	33	,	,	PUNCT
cana-3377	197	34	vol	vol	NOUN
cana-3377	197	35	.	.	PROPN
cana-3377	197	36	115	115	NUM
cana-3377	197	37	,	,	PUNCT
cana-3377	197	38	issue	issue	NOUN
cana-3377	197	39	772	772	NUM
cana-3377	197	40	,	,	PUNCT
cana-3377	197	41	pp	pp	ADJ
cana-3377	197	42	.	.	PUNCT
cana-3377	198	1	700	700	NUM
cana-3377	198	2	-	-	SYM
cana-3377	198	3	721	721	NUM
cana-3377	198	4	,	,	PUNCT
cana-3377	198	5	(	(	PUNCT
cana-3377	198	6	1927	1927	NUM
cana-3377	198	7	)	)	PUNCT
cana-3377	198	8	,	,	PUNCT
cana-3377	198	9	https://doi.org/10.1098/rspa.1927.0118	https://doi.org/10.1098/rspa.1927.0118	PROPN
cana-3377	198	10	[	[	X
cana-3377	198	11	2	2	NUM
cana-3377	198	12	]	]	PUNCT
cana-3377	198	13	anderson	anderson	PROPN
cana-3377	198	14	,	,	PUNCT
cana-3377	198	15	r.m	r.m	PROPN
cana-3377	198	16	.	.	PROPN
cana-3377	198	17	,	,	PUNCT
cana-3377	198	18	may	may	AUX
cana-3377	198	19	,	,	PUNCT
cana-3377	198	20	r.m	r.m	PROPN
cana-3377	198	21	.	.	PROPN
cana-3377	198	22	,	,	PUNCT
cana-3377	198	23	"	"	PUNCT
cana-3377	198	24	infectious	infectious	ADJ
cana-3377	198	25	diseases	disease	NOUN
cana-3377	198	26	of	of	ADP
cana-3377	198	27	humans	human	NOUN
cana-3377	198	28	:	:	PUNCT
cana-3377	198	29	dynamics	dynamic	NOUN
cana-3377	198	30	and	and	CCONJ
cana-3377	198	31	control	control	NOUN
cana-3377	198	32	"	"	PUNCT
cana-3377	198	33	,	,	PUNCT
cana-3377	198	34	oxford	oxford	PROPN
cana-3377	198	35	university	university	PROPN
cana-3377	198	36	press	press	NOUN
cana-3377	198	37	,	,	PUNCT
cana-3377	198	38	(	(	PUNCT
cana-3377	198	39	1991	1991	NUM
cana-3377	198	40	)	)	PUNCT
cana-3377	198	41	,	,	PUNCT
cana-3377	198	42	https://doi.org/10.1093/oso/9780198540400.001.0001	https://doi.org/10.1093/oso/9780198540400.001.0001	VERB
cana-3377	199	1	[	[	X
cana-3377	199	2	3	3	NUM
cana-3377	199	3	]	]	X
cana-3377	199	4	hethcote	hethcote	ADV
cana-3377	199	5	,	,	PUNCT
cana-3377	199	6	h.w	h.w	PROPN
cana-3377	199	7	.	.	PROPN
cana-3377	199	8	,	,	PUNCT
cana-3377	199	9	"	"	PUNCT
cana-3377	199	10	the	the	DET
cana-3377	199	11	mathematics	mathematic	NOUN
cana-3377	199	12	of	of	ADP
cana-3377	199	13	infectious	infectious	ADJ
cana-3377	199	14	diseases	disease	NOUN
cana-3377	199	15	"	"	PUNCT
cana-3377	199	16	,	,	PUNCT
cana-3377	199	17	siam	siam	PROPN
cana-3377	199	18	review	review	NOUN
cana-3377	199	19	,	,	PUNCT
cana-3377	199	20	vol	vol	NOUN
cana-3377	199	21	.	.	PROPN
cana-3377	199	22	42	42	NUM
cana-3377	199	23	,	,	PUNCT
cana-3377	199	24	issue	issue	NOUN
cana-3377	199	25	4	4	NUM
cana-3377	199	26	,	,	PUNCT
cana-3377	199	27	pp	pp	ADJ
cana-3377	199	28	.	.	PUNCT
cana-3377	200	1	599	599	NUM
cana-3377	200	2	-	-	PUNCT
cana-3377	200	3	653	653	NUM
cana-3377	200	4	,	,	PUNCT
cana-3377	200	5	(	(	PUNCT
cana-3377	200	6	2000	2000	NUM
cana-3377	200	7	)	)	PUNCT
cana-3377	200	8	,	,	PUNCT
cana-3377	200	9	https://doi.org/10.1137/s0036144500371907	https://doi.org/10.1137/s0036144500371907	NUM
cana-3377	200	10	[	[	X
cana-3377	200	11	4	4	NUM
cana-3377	200	12	]	]	X
cana-3377	200	13	diekmann	diekmann	NOUN
cana-3377	200	14	,	,	PUNCT
cana-3377	200	15	o.	o.	PROPN
cana-3377	200	16	,	,	PUNCT
cana-3377	200	17	heesterbeek	heesterbeek	NOUN
cana-3377	200	18	,	,	PUNCT
cana-3377	200	19	j.a.p	j.a.p	PROPN
cana-3377	200	20	.	.	PUNCT
cana-3377	200	21	,	,	PUNCT
cana-3377	200	22	"	"	PUNCT
cana-3377	200	23	mathematical	mathematical	ADJ
cana-3377	200	24	epidemiology	epidemiology	NOUN
cana-3377	200	25	of	of	ADP
cana-3377	200	26	infectious	infectious	ADJ
cana-3377	200	27	diseases	disease	NOUN
cana-3377	200	28	:	:	PUNCT
cana-3377	200	29	model	model	NOUN
cana-3377	200	30	building	building	NOUN
cana-3377	200	31	,	,	PUNCT
cana-3377	200	32	analysis	analysis	NOUN
cana-3377	200	33	and	and	CCONJ
cana-3377	200	34	interpretation	interpretation	NOUN
cana-3377	200	35	"	"	PUNCT
cana-3377	200	36	,	,	PUNCT
cana-3377	200	37	john	john	PROPN
cana-3377	200	38	wiley	wiley	PROPN
cana-3377	200	39	&	&	CCONJ
cana-3377	200	40	sons	son	NOUN
cana-3377	200	41	,	,	PUNCT
cana-3377	200	42	(	(	PUNCT
cana-3377	200	43	2000	2000	NUM
cana-3377	200	44	)	)	PUNCT
cana-3377	200	45	,	,	PUNCT
cana-3377	200	46	https://doi.org/10.1002/9781118032737	https://doi.org/10.1002/9781118032737	X
cana-3377	201	1	[	[	X
cana-3377	201	2	5	5	NUM
cana-3377	201	3	]	]	PUNCT
cana-3377	201	4	keeling	keeling	PROPN
cana-3377	201	5	,	,	PUNCT
cana-3377	201	6	m.j	m.j	PROPN
cana-3377	201	7	.	.	PROPN
cana-3377	201	8	,	,	PUNCT
cana-3377	201	9	rohani	rohani	PROPN
cana-3377	201	10	,	,	PUNCT
cana-3377	201	11	p.	p.	PROPN
cana-3377	201	12	,	,	PUNCT
cana-3377	201	13	"	"	PUNCT
cana-3377	201	14	modeling	model	VERB
cana-3377	201	15	infectious	infectious	ADJ
cana-3377	201	16	diseases	disease	NOUN
cana-3377	201	17	in	in	ADP
cana-3377	201	18	humans	human	NOUN
cana-3377	201	19	and	and	CCONJ
cana-3377	201	20	animals	animal	NOUN
cana-3377	201	21	"	"	PUNCT
cana-3377	201	22	,	,	PUNCT
cana-3377	201	23	princeton	princeton	PROPN
cana-3377	201	24	university	university	PROPN
cana-3377	201	25	press	press	NOUN
cana-3377	201	26	,	,	PUNCT
cana-3377	201	27	(	(	PUNCT
cana-3377	201	28	2008	2008	NUM
cana-3377	201	29	)	)	PUNCT
cana-3377	201	30	,	,	PUNCT
cana-3377	201	31	https://press.princeton.edu/books/ebook/9781400831635/modeling-infectious-diseases-in-humans-andanimals	https://press.princeton.edu/books/ebook/9781400831635/modeling-infectious-diseases-in-humans-andanimal	VERB
cana-3377	201	32	[	[	X
cana-3377	201	33	6	6	NUM
cana-3377	201	34	]	]	PUNCT
cana-3377	201	35	cushing	cushing	NOUN
cana-3377	201	36	,	,	PUNCT
cana-3377	201	37	j.m	j.m	PROPN
cana-3377	201	38	.	.	PROPN
cana-3377	201	39	,	,	PUNCT
cana-3377	201	40	"	"	PUNCT
cana-3377	201	41	differential	differential	ADJ
cana-3377	201	42	equations	equation	NOUN
cana-3377	201	43	and	and	CCONJ
cana-3377	201	44	mathematical	mathematical	ADJ
cana-3377	201	45	biology	biology	NOUN
cana-3377	201	46	"	"	PUNCT
cana-3377	201	47	,	,	PUNCT
cana-3377	201	48	siam	siam	ADJ
cana-3377	201	49	,	,	PUNCT
cana-3377	201	50	vol	vol	NOUN
cana-3377	201	51	.	.	PROPN
cana-3377	201	52	35	35	NUM
cana-3377	201	53	,	,	PUNCT
cana-3377	201	54	pp	pp	ADJ
cana-3377	201	55	.	.	PUNCT
cana-3377	202	1	107	107	NUM
cana-3377	202	2	-	-	SYM
cana-3377	202	3	134	134	NUM
cana-3377	202	4	,	,	PUNCT
cana-3377	202	5	(	(	PUNCT
cana-3377	202	6	1998	1998	NUM
cana-3377	202	7	)	)	PUNCT
cana-3377	202	8	,	,	PUNCT
cana-3377	203	1	https://doi.org/10.1137/s0036144502413155	https://doi.org/10.1137/s0036144502413155	NUM
cana-3377	203	2	[	[	X
cana-3377	203	3	7	7	NUM
cana-3377	203	4	]	]	X
cana-3377	203	5	brauer	brauer	PROPN
cana-3377	203	6	,	,	PUNCT
cana-3377	203	7	f.	f.	PROPN
cana-3377	203	8	,	,	PUNCT
cana-3377	203	9	castillo	castillo	PROPN
cana-3377	203	10	-	-	PUNCT
cana-3377	203	11	chavez	chavez	PROPN
cana-3377	203	12	,	,	PUNCT
cana-3377	203	13	c.	c.	PROPN
cana-3377	203	14	,	,	PUNCT
cana-3377	203	15	"	"	PUNCT
cana-3377	203	16	mathematical	mathematical	ADJ
cana-3377	203	17	models	model	NOUN
cana-3377	203	18	in	in	ADP
cana-3377	203	19	population	population	NOUN
cana-3377	203	20	biology	biology	NOUN
cana-3377	203	21	and	and	CCONJ
cana-3377	203	22	epidemiology	epidemiology	NOUN
cana-3377	203	23	"	"	PUNCT
cana-3377	203	24	,	,	PUNCT
cana-3377	203	25	springer	springer	NOUN
cana-3377	203	26	science	science	PROPN
cana-3377	203	27	&	&	CCONJ
cana-3377	203	28	business	business	NOUN
cana-3377	203	29	media	medium	NOUN
cana-3377	203	30	,	,	PUNCT
cana-3377	203	31	(	(	PUNCT
cana-3377	203	32	2012	2012	NUM
cana-3377	203	33	)	)	PUNCT
cana-3377	203	34	,	,	PUNCT
cana-3377	203	35	https://doi.org/10.1007/978-1-4614-1435-8	https://doi.org/10.1007/978-1-4614-1435-8	PROPN
cana-3377	204	1	[	[	X
cana-3377	204	2	8	8	NUM
cana-3377	204	3	]	]	X
cana-3377	204	4	feng	feng	X
cana-3377	204	5	,	,	PUNCT
cana-3377	204	6	z.	z.	PROPN
cana-3377	204	7	,	,	PUNCT
cana-3377	204	8	zhou	zhou	PROPN
cana-3377	204	9	,	,	PUNCT
cana-3377	204	10	x.	x.	NOUN
cana-3377	204	11	,	,	PUNCT
cana-3377	204	12	"	"	PUNCT
cana-3377	204	13	modeling	model	VERB
cana-3377	204	14	the	the	DET
cana-3377	204	15	effect	effect	NOUN
cana-3377	204	16	of	of	ADP
cana-3377	204	17	vaccination	vaccination	NOUN
cana-3377	204	18	on	on	ADP
cana-3377	204	19	the	the	DET
cana-3377	204	20	spread	spread	NOUN
cana-3377	204	21	of	of	ADP
cana-3377	204	22	infectious	infectious	ADJ
cana-3377	204	23	disease	disease	NOUN
cana-3377	204	24	"	"	PUNCT
cana-3377	204	25	,	,	PUNCT
cana-3377	204	26	mathematical	mathematical	ADJ
cana-3377	204	27	biosciences	bioscience	NOUN
cana-3377	204	28	,	,	PUNCT
cana-3377	204	29	vol	vol	NOUN
cana-3377	204	30	.	.	PUNCT
cana-3377	204	31	107	107	NUM
cana-3377	204	32	,	,	PUNCT
cana-3377	204	33	issue	issue	NOUN
cana-3377	204	34	1	1	NUM
cana-3377	204	35	,	,	PUNCT
cana-3377	204	36	pp	pp	ADJ
cana-3377	204	37	.	.	PUNCT
cana-3377	204	38	85	85	NUM
cana-3377	204	39	-	-	SYM
cana-3377	204	40	109	109	NUM
cana-3377	204	41	,	,	PUNCT
cana-3377	204	42	(	(	PUNCT
cana-3377	204	43	1991	1991	NUM
cana-3377	204	44	)	)	PUNCT
cana-3377	204	45	,	,	PUNCT
cana-3377	204	46	https://doi.org/10.1016/0025-5564(91)90031-k	https://doi.org/10.1016/0025-5564(91)90031-k	NOUN
cana-3377	205	1	[	[	X
cana-3377	205	2	9	9	NUM
cana-3377	205	3	]	]	X
cana-3377	205	4	zhao	zhao	PROPN
cana-3377	205	5	,	,	PUNCT
cana-3377	205	6	z.	z.	PROPN
cana-3377	205	7	,	,	PUNCT
cana-3377	205	8	"	"	PUNCT
cana-3377	205	9	global	global	ADJ
cana-3377	205	10	stability	stability	NOUN
cana-3377	205	11	analysis	analysis	NOUN
cana-3377	205	12	of	of	ADP
cana-3377	205	13	a	a	DET
cana-3377	205	14	mathematical	mathematical	ADJ
cana-3377	205	15	model	model	NOUN
cana-3377	205	16	of	of	ADP
cana-3377	205	17	infectious	infectious	ADJ
cana-3377	205	18	disease	disease	NOUN
cana-3377	205	19	with	with	ADP
cana-3377	205	20	vaccination	vaccination	NOUN
cana-3377	205	21	"	"	PUNCT
cana-3377	205	22	,	,	PUNCT
cana-3377	205	23	mathematical	mathematical	ADJ
cana-3377	205	24	methods	method	NOUN
cana-3377	205	25	in	in	ADP
cana-3377	205	26	the	the	DET
cana-3377	205	27	applied	apply	VERB
cana-3377	205	28	sciences	science	NOUN
cana-3377	205	29	,	,	PUNCT
cana-3377	205	30	vol	vol	NOUN
cana-3377	205	31	.	.	PROPN
cana-3377	205	32	37	37	NUM
cana-3377	205	33	,	,	PUNCT
cana-3377	205	34	issue	issue	NOUN
cana-3377	205	35	13	13	NUM
cana-3377	205	36	,	,	PUNCT
cana-3377	205	37	pp	pp	ADJ
cana-3377	205	38	.	.	PUNCT
cana-3377	206	1	2016	2016	NUM
cana-3377	206	2	-	-	SYM
cana-3377	206	3	2031	2031	NUM
cana-3377	206	4	,	,	PUNCT
cana-3377	206	5	(	(	PUNCT
cana-3377	206	6	2014	2014	NUM
cana-3377	206	7	)	)	PUNCT
cana-3377	206	8	,	,	PUNCT
cana-3377	206	9	https://doi.org/10.1002/mma.2979	https://doi.org/10.1002/mma.2979	PROPN
cana-3377	206	10	communications	communication	NOUN
cana-3377	206	11	on	on	ADP
cana-3377	206	12	applied	apply	VERB
cana-3377	206	13	nonlinear	nonlinear	ADJ
cana-3377	206	14	analysis	analysis	NOUN
cana-3377	206	15	issn	issn	NOUN
cana-3377	206	16	:	:	PUNCT
cana-3377	206	17	1074	1074	NUM
cana-3377	206	18	-	-	PUNCT
cana-3377	206	19	133x	133x	NUM
cana-3377	206	20	vol	vol	NOUN
cana-3377	206	21	32	32	NUM
cana-3377	206	22	no	no	NOUN
cana-3377	206	23	.	.	PUNCT
cana-3377	207	1	7s	7	NOUN
cana-3377	207	2	(	(	PUNCT
cana-3377	207	3	2025	2025	NUM
cana-3377	207	4	)	)	PUNCT
cana-3377	207	5	209	209	NUM
cana-3377	207	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3377	208	1	[	[	X
cana-3377	208	2	10	10	NUM
cana-3377	208	3	]	]	X
cana-3377	208	4	brauer	brauer	PROPN
cana-3377	208	5	,	,	PUNCT
cana-3377	208	6	f.	f.	PROPN
cana-3377	208	7	,	,	PUNCT
cana-3377	208	8	"	"	PUNCT
cana-3377	208	9	mathematical	mathematical	ADJ
cana-3377	208	10	epidemic	epidemic	NOUN
cana-3377	208	11	models	model	NOUN
cana-3377	208	12	:	:	PUNCT
cana-3377	208	13	an	an	DET
cana-3377	208	14	introduction	introduction	NOUN
cana-3377	208	15	"	"	PUNCT
cana-3377	208	16	,	,	PUNCT
cana-3377	208	17	springer	springer	NOUN
cana-3377	208	18	,	,	PUNCT
cana-3377	208	19	(	(	PUNCT
cana-3377	208	20	2015	2015	NUM
cana-3377	208	21	)	)	PUNCT
cana-3377	208	22	,	,	PUNCT
cana-3377	208	23	https://doi.org/10.1007/978-3-31915274-5	https://doi.org/10.1007/978-3-31915274-5	NOUN
cana-3377	209	1	[	[	X
cana-3377	209	2	11	11	NUM
cana-3377	209	3	]	]	SYM
cana-3377	209	4	rachah	rachah	NOUN
cana-3377	209	5	,	,	PUNCT
cana-3377	209	6	a.	a.	NOUN
cana-3377	209	7	,	,	PUNCT
cana-3377	209	8	berrade	berrade	PROPN
cana-3377	209	9	,	,	PUNCT
cana-3377	209	10	a.	a.	NOUN
cana-3377	209	11	,	,	PUNCT
cana-3377	209	12	"	"	PUNCT
cana-3377	209	13	mathematical	mathematical	ADJ
cana-3377	209	14	modeling	modeling	NOUN
cana-3377	209	15	of	of	ADP
cana-3377	209	16	the	the	DET
cana-3377	209	17	spread	spread	NOUN
cana-3377	209	18	of	of	ADP
cana-3377	209	19	infectious	infectious	ADJ
cana-3377	209	20	diseases	disease	NOUN
cana-3377	209	21	with	with	ADP
cana-3377	209	22	incubation	incubation	NOUN
cana-3377	209	23	periods	period	NOUN
cana-3377	209	24	"	"	PUNCT
cana-3377	209	25	,	,	PUNCT
cana-3377	209	26	journal	journal	NOUN
cana-3377	209	27	of	of	ADP
cana-3377	209	28	mathematical	mathematical	ADJ
cana-3377	209	29	biology	biology	NOUN
cana-3377	209	30	,	,	PUNCT
cana-3377	209	31	vol	vol	NOUN
cana-3377	209	32	.	.	PROPN
cana-3377	209	33	56	56	NUM
cana-3377	209	34	,	,	PUNCT
cana-3377	209	35	issue	issue	NOUN
cana-3377	209	36	3	3	NUM
cana-3377	209	37	,	,	PUNCT
cana-3377	209	38	pp	pp	ADJ
cana-3377	209	39	.	.	PUNCT
cana-3377	210	1	307	307	NUM
cana-3377	210	2	-	-	SYM
cana-3377	210	3	320	320	NUM
cana-3377	210	4	,	,	PUNCT
cana-3377	210	5	(	(	PUNCT
cana-3377	210	6	2008	2008	NUM
cana-3377	210	7	)	)	PUNCT
cana-3377	210	8	,	,	PUNCT
cana-3377	210	9	https://doi.org/10.1007/s00285-007-0125-1	https://doi.org/10.1007/s00285-007-0125-1	PUNCT
cana-3377	211	1	[	[	X
cana-3377	211	2	12	12	NUM
cana-3377	211	3	]	]	PUNCT
cana-3377	211	4	marzouki	marzouki	PROPN
cana-3377	211	5	,	,	PUNCT
cana-3377	211	6	h.	h.	PROPN
cana-3377	211	7	,	,	PUNCT
cana-3377	211	8	beji	beji	NOUN
cana-3377	211	9	,	,	PUNCT
cana-3377	211	10	n.	n.	NOUN
cana-3377	211	11	,	,	PUNCT
cana-3377	211	12	"	"	PUNCT
cana-3377	211	13	modeling	model	VERB
cana-3377	211	14	the	the	DET
cana-3377	211	15	spread	spread	NOUN
cana-3377	211	16	of	of	ADP
cana-3377	211	17	infectious	infectious	ADJ
cana-3377	211	18	diseases	disease	NOUN
cana-3377	211	19	in	in	ADP
cana-3377	211	20	population	population	NOUN
cana-3377	211	21	with	with	ADP
cana-3377	211	22	vaccination	vaccination	NOUN
cana-3377	211	23	strategy	strategy	NOUN
cana-3377	211	24	"	"	PUNCT
cana-3377	211	25	,	,	PUNCT
cana-3377	211	26	communications	communication	NOUN
cana-3377	211	27	in	in	ADP
cana-3377	211	28	nonlinear	nonlinear	ADJ
cana-3377	211	29	science	science	NOUN
cana-3377	211	30	and	and	CCONJ
cana-3377	211	31	numerical	numerical	PROPN
cana-3377	211	32	simulation	simulation	PROPN
cana-3377	211	33	,	,	PUNCT
cana-3377	211	34	vol	vol	NOUN
cana-3377	211	35	.	.	PROPN
cana-3377	211	36	44	44	NUM
cana-3377	211	37	,	,	PUNCT
cana-3377	211	38	pp	pp	ADJ
cana-3377	211	39	.	.	PUNCT
cana-3377	212	1	47	47	NUM
cana-3377	212	2	-	-	SYM
cana-3377	212	3	58	58	NUM
cana-3377	212	4	,	,	PUNCT
cana-3377	212	5	(	(	PUNCT
cana-3377	212	6	2017	2017	NUM
cana-3377	212	7	)	)	PUNCT
cana-3377	212	8	,	,	PUNCT
cana-3377	212	9	https://doi.org/10.1016/j.cnsns.2016.08.017	https://doi.org/10.1016/j.cnsns.2016.08.017	PROPN
cana-3377	212	10	[	[	X
cana-3377	212	11	13	13	NUM
cana-3377	212	12	]	]	X
cana-3377	212	13	shi	shi	PROPN
cana-3377	212	14	,	,	PUNCT
cana-3377	212	15	x.	x.	PROPN
cana-3377	212	16	,	,	PUNCT
cana-3377	212	17	li	li	PROPN
cana-3377	212	18	,	,	PUNCT
cana-3377	212	19	b.	b.	PROPN
cana-3377	212	20	,	,	PUNCT
cana-3377	212	21	"	"	PUNCT
cana-3377	212	22	impact	impact	NOUN
cana-3377	212	23	of	of	ADP
cana-3377	212	24	public	public	ADJ
cana-3377	212	25	health	health	NOUN
cana-3377	212	26	interventions	intervention	NOUN
cana-3377	212	27	on	on	ADP
cana-3377	212	28	the	the	DET
cana-3377	212	29	spread	spread	NOUN
cana-3377	212	30	of	of	ADP
cana-3377	212	31	infectious	infectious	ADJ
cana-3377	212	32	diseases	disease	NOUN
cana-3377	212	33	:	:	PUNCT
cana-3377	212	34	mathematical	mathematical	ADJ
cana-3377	212	35	modeling	modeling	NOUN
cana-3377	212	36	and	and	CCONJ
cana-3377	212	37	real	real	ADJ
cana-3377	212	38	-	-	PUNCT
cana-3377	212	39	world	world	NOUN
cana-3377	212	40	data	datum	NOUN
cana-3377	212	41	"	"	PUNCT
cana-3377	212	42	,	,	PUNCT
cana-3377	212	43	mathematical	mathematical	ADJ
cana-3377	212	44	medicine	medicine	NOUN
cana-3377	212	45	and	and	CCONJ
cana-3377	212	46	biology	biology	NOUN
cana-3377	212	47	,	,	PUNCT
cana-3377	212	48	vol	vol	NOUN
cana-3377	212	49	.	.	PROPN
cana-3377	212	50	33	33	NUM
cana-3377	212	51	,	,	PUNCT
cana-3377	212	52	issue	issue	NOUN
cana-3377	212	53	4	4	NUM
cana-3377	212	54	,	,	PUNCT
cana-3377	212	55	pp	pp	ADJ
cana-3377	212	56	.	.	PUNCT
cana-3377	213	1	381	381	NUM
cana-3377	213	2	-	-	SYM
cana-3377	213	3	398	398	NUM
cana-3377	213	4	,	,	PUNCT
cana-3377	213	5	(	(	PUNCT
cana-3377	213	6	2016	2016	NUM
cana-3377	213	7	)	)	PUNCT
cana-3377	213	8	,	,	PUNCT
cana-3377	213	9	https://doi.org/10.1093/imammb/dqw009	https://doi.org/10.1093/imammb/dqw009	VERB
cana-3377	213	10	[	[	X
cana-3377	213	11	14	14	NUM
cana-3377	213	12	]	]	X
cana-3377	213	13	hall	hall	NOUN
cana-3377	213	14	,	,	PUNCT
cana-3377	213	15	c.	c.	PROPN
cana-3377	213	16	,	,	PUNCT
cana-3377	213	17	langley	langley	PROPN
cana-3377	213	18	,	,	PUNCT
cana-3377	213	19	p.	p.	PROPN
cana-3377	213	20	,	,	PUNCT
cana-3377	213	21	"	"	PUNCT
cana-3377	213	22	modeling	modeling	NOUN
cana-3377	213	23	and	and	CCONJ
cana-3377	213	24	control	control	NOUN
cana-3377	213	25	of	of	ADP
cana-3377	213	26	infectious	infectious	ADJ
cana-3377	213	27	disease	disease	NOUN
cana-3377	213	28	spread	spread	VERB
cana-3377	213	29	"	"	PUNCT
cana-3377	213	30	,	,	PUNCT
cana-3377	213	31	ieee	ieee	NOUN
cana-3377	213	32	transactions	transaction	NOUN
cana-3377	213	33	on	on	ADP
cana-3377	213	34	automatic	automatic	ADJ
cana-3377	213	35	control	control	NOUN
cana-3377	213	36	,	,	PUNCT
cana-3377	213	37	vol	vol	NOUN
cana-3377	213	38	.	.	PROPN
cana-3377	214	1	53	53	NUM
cana-3377	214	2	,	,	PUNCT
cana-3377	214	3	issue	issue	NOUN
cana-3377	214	4	4	4	NUM
cana-3377	214	5	,	,	PUNCT
cana-3377	214	6	pp	pp	ADJ
cana-3377	214	7	.	.	PUNCT
cana-3377	215	1	925	925	NUM
cana-3377	215	2	-	-	SYM
cana-3377	215	3	939	939	NUM
cana-3377	215	4	,	,	PUNCT
cana-3377	215	5	(	(	PUNCT
cana-3377	215	6	2008	2008	NUM
cana-3377	215	7	)	)	PUNCT
cana-3377	216	1	,	,	PUNCT
cana-3377	216	2	https://doi.org/10.1109/tac.2008.919705	https://doi.org/10.1109/tac.2008.919705	VERB
cana-3377	216	3	[	[	X
cana-3377	216	4	15	15	NUM
cana-3377	216	5	]	]	X
cana-3377	216	6	bagheri	bagheri	PROPN
cana-3377	216	7	,	,	PUNCT
cana-3377	216	8	m.	m.	NOUN
cana-3377	216	9	,	,	PUNCT
cana-3377	216	10	moghaddam	moghaddam	NOUN
cana-3377	216	11	,	,	PUNCT
cana-3377	216	12	f.	f.	PROPN
cana-3377	216	13	,	,	PUNCT
cana-3377	216	14	"	"	PUNCT
cana-3377	216	15	mathematical	mathematical	ADJ
cana-3377	216	16	models	model	NOUN
cana-3377	216	17	in	in	ADP
cana-3377	216	18	epidemiology	epidemiology	NOUN
cana-3377	216	19	:	:	PUNCT
cana-3377	216	20	a	a	DET
cana-3377	216	21	systematic	systematic	ADJ
cana-3377	216	22	review	review	NOUN
cana-3377	216	23	of	of	ADP
cana-3377	216	24	literature	literature	NOUN
cana-3377	216	25	"	"	PUNCT
cana-3377	216	26	,	,	PUNCT
cana-3377	216	27	mathematics	mathematic	NOUN
cana-3377	216	28	and	and	CCONJ
cana-3377	216	29	computers	computer	NOUN
cana-3377	216	30	in	in	ADP
cana-3377	216	31	simulation	simulation	NOUN
cana-3377	216	32	,	,	PUNCT
cana-3377	216	33	vol	vol	NOUN
cana-3377	216	34	.	.	PROPN
cana-3377	216	35	95	95	NUM
cana-3377	216	36	,	,	PUNCT
cana-3377	216	37	pp	pp	ADJ
cana-3377	216	38	.	.	PUNCT
cana-3377	217	1	105	105	NUM
cana-3377	217	2	-	-	SYM
cana-3377	217	3	124	124	NUM
cana-3377	217	4	,	,	PUNCT
cana-3377	217	5	(	(	PUNCT
cana-3377	217	6	2014	2014	NUM
cana-3377	217	7	)	)	PUNCT
cana-3377	217	8	,	,	PUNCT
cana-3377	217	9	https://doi.org/10.1016/j.matcom.2013.06.003	https://doi.org/10.1016/j.matcom.2013.06.003	X
cana-3377	217	10	[	[	X
cana-3377	217	11	16	16	NUM
cana-3377	217	12	]	]	X
cana-3377	217	13	sattari	sattari	PROPN
cana-3377	217	14	,	,	PUNCT
cana-3377	217	15	m.	m.	NOUN
cana-3377	217	16	,	,	PUNCT
cana-3377	217	17	"	"	PUNCT
cana-3377	217	18	epidemic	epidemic	NOUN
cana-3377	217	19	models	model	NOUN
cana-3377	217	20	with	with	ADP
cana-3377	217	21	vaccination	vaccination	NOUN
cana-3377	217	22	and	and	CCONJ
cana-3377	217	23	immunity	immunity	NOUN
cana-3377	217	24	loss	loss	NOUN
cana-3377	217	25	"	"	PUNCT
cana-3377	217	26	,	,	PUNCT
cana-3377	217	27	bulletin	bulletin	NOUN
cana-3377	217	28	of	of	ADP
cana-3377	217	29	mathematical	mathematical	ADJ
cana-3377	217	30	biology	biology	NOUN
cana-3377	217	31	,	,	PUNCT
cana-3377	217	32	vol	vol	NOUN
cana-3377	217	33	.	.	PROPN
cana-3377	217	34	75	75	NUM
cana-3377	217	35	,	,	PUNCT
cana-3377	217	36	issue	issue	NOUN
cana-3377	217	37	5	5	NUM
cana-3377	217	38	,	,	PUNCT
cana-3377	217	39	pp	pp	ADJ
cana-3377	217	40	.	.	PUNCT
cana-3377	218	1	955	955	NUM
cana-3377	218	2	-	-	SYM
cana-3377	218	3	973	973	NUM
cana-3377	218	4	,	,	PUNCT
cana-3377	218	5	(	(	PUNCT
cana-3377	218	6	2013	2013	NUM
cana-3377	218	7	)	)	PUNCT
cana-3377	218	8	,	,	PUNCT
cana-3377	218	9	https://doi.org/10.1007/s11538-013-9860-4	https://doi.org/10.1007/s11538-013-9860-4	NUM
cana-3377	218	10	[	[	X
cana-3377	218	11	17	17	NUM
cana-3377	218	12	]	]	SYM
cana-3377	218	13	blower	blower	NOUN
cana-3377	218	14	,	,	PUNCT
cana-3377	218	15	s.	s.	PROPN
cana-3377	218	16	,	,	PUNCT
cana-3377	218	17	dowlatabadi	dowlatabadi	PROPN
cana-3377	218	18	,	,	PUNCT
cana-3377	218	19	h.	h.	PROPN
cana-3377	218	20	,	,	PUNCT
cana-3377	218	21	"	"	PUNCT
cana-3377	218	22	the	the	DET
cana-3377	218	23	accuracy	accuracy	NOUN
cana-3377	218	24	of	of	ADP
cana-3377	218	25	models	model	NOUN
cana-3377	218	26	of	of	ADP
cana-3377	218	27	hiv	hiv	PROPN
cana-3377	218	28	transmission	transmission	NOUN
cana-3377	218	29	"	"	PUNCT
cana-3377	218	30	,	,	PUNCT
cana-3377	218	31	science	science	NOUN
cana-3377	218	32	,	,	PUNCT
cana-3377	218	33	vol	vol	NOUN
cana-3377	218	34	.	.	PROPN
cana-3377	218	35	265	265	NUM
cana-3377	218	36	,	,	PUNCT
cana-3377	218	37	issue	issue	NOUN
cana-3377	218	38	5175	5175	NUM
cana-3377	218	39	,	,	PUNCT
cana-3377	218	40	pp	pp	ADP
cana-3377	218	41	.	.	PUNCT
cana-3377	219	1	875	875	NUM
cana-3377	219	2	-	-	SYM
cana-3377	219	3	878	878	NUM
cana-3377	219	4	,	,	PUNCT
cana-3377	219	5	(	(	PUNCT
cana-3377	219	6	1994	1994	NUM
cana-3377	219	7	)	)	PUNCT
cana-3377	219	8	,	,	PUNCT
cana-3377	219	9	https://doi.org/10.1126/science.8023197	https://doi.org/10.1126/science.8023197	NOUN
cana-3377	220	1	[	[	X
cana-3377	220	2	18	18	NUM
cana-3377	220	3	]	]	X
cana-3377	220	4	vasilenko	vasilenko	ADJ
cana-3377	220	5	,	,	PUNCT
cana-3377	220	6	m.	m.	NOUN
cana-3377	220	7	,	,	PUNCT
cana-3377	220	8	"	"	PUNCT
cana-3377	220	9	modeling	model	VERB
cana-3377	220	10	the	the	DET
cana-3377	220	11	impact	impact	NOUN
cana-3377	220	12	of	of	ADP
cana-3377	220	13	isolation	isolation	NOUN
cana-3377	220	14	strategies	strategy	NOUN
cana-3377	220	15	in	in	ADP
cana-3377	220	16	the	the	DET
cana-3377	220	17	spread	spread	NOUN
cana-3377	220	18	of	of	ADP
cana-3377	220	19	influenza	influenza	NOUN
cana-3377	220	20	a	a	DET
cana-3377	220	21	"	"	PUNCT
cana-3377	220	22	,	,	PUNCT
cana-3377	220	23	mathematical	mathematical	ADJ
cana-3377	220	24	modeling	modeling	NOUN
cana-3377	220	25	of	of	ADP
cana-3377	220	26	natural	natural	ADJ
cana-3377	220	27	phenomena	phenomenon	NOUN
cana-3377	220	28	,	,	PUNCT
cana-3377	220	29	vol	vol	NOUN
cana-3377	220	30	.	.	PROPN
cana-3377	220	31	11	11	NUM
cana-3377	220	32	,	,	PUNCT
cana-3377	220	33	issue	issue	NOUN
cana-3377	220	34	3	3	NUM
cana-3377	220	35	,	,	PUNCT
cana-3377	220	36	pp	pp	ADJ
cana-3377	220	37	.	.	PUNCT
cana-3377	221	1	1	1	NUM
cana-3377	221	2	-	-	SYM
cana-3377	221	3	14	14	NUM
cana-3377	221	4	,	,	PUNCT
cana-3377	221	5	(	(	PUNCT
cana-3377	221	6	2016	2016	NUM
cana-3377	221	7	)	)	PUNCT
cana-3377	221	8	,	,	PUNCT
cana-3377	222	1	https://doi.org/10.1051/mmnp/201611030001	https://doi.org/10.1051/mmnp/201611030001	PROPN
cana-3377	222	2	[	[	X
cana-3377	222	3	19	19	NUM
cana-3377	222	4	]	]	X
cana-3377	222	5	cho	cho	PROPN
cana-3377	222	6	,	,	PUNCT
cana-3377	222	7	s.	s.	PROPN
cana-3377	222	8	,	,	PUNCT
cana-3377	222	9	lee	lee	PROPN
cana-3377	222	10	,	,	PUNCT
cana-3377	222	11	h.	h.	PROPN
cana-3377	222	12	,	,	PUNCT
cana-3377	222	13	"	"	PUNCT
cana-3377	222	14	optimal	optimal	ADJ
cana-3377	222	15	control	control	NOUN
cana-3377	222	16	of	of	ADP
cana-3377	222	17	epidemic	epidemic	NOUN
cana-3377	222	18	spread	spread	NOUN
cana-3377	222	19	:	:	PUNCT
cana-3377	222	20	a	a	DET
cana-3377	222	21	mathematical	mathematical	ADJ
cana-3377	222	22	analysis	analysis	NOUN
cana-3377	222	23	of	of	ADP
cana-3377	222	24	sir	sir	NOUN
cana-3377	222	25	models	model	NOUN
cana-3377	222	26	"	"	PUNCT
cana-3377	222	27	,	,	PUNCT
cana-3377	222	28	journal	journal	NOUN
cana-3377	222	29	of	of	ADP
cana-3377	222	30	control	control	PROPN
cana-3377	222	31	theory	theory	NOUN
cana-3377	222	32	and	and	CCONJ
cana-3377	222	33	applications	application	NOUN
cana-3377	222	34	,	,	PUNCT
cana-3377	222	35	vol	vol	NOUN
cana-3377	222	36	.	.	PROPN
cana-3377	222	37	17	17	NUM
cana-3377	222	38	,	,	PUNCT
cana-3377	222	39	issue	issue	NOUN
cana-3377	222	40	1	1	NUM
cana-3377	222	41	,	,	PUNCT
cana-3377	222	42	pp	pp	ADJ
cana-3377	222	43	.	.	PUNCT
cana-3377	223	1	66	66	NUM
cana-3377	223	2	-	-	SYM
cana-3377	223	3	75	75	NUM
cana-3377	223	4	,	,	PUNCT
cana-3377	223	5	(	(	PUNCT
cana-3377	223	6	2019	2019	NUM
cana-3377	223	7	)	)	PUNCT
cana-3377	223	8	,	,	PUNCT
cana-3377	223	9	https://doi.org/10.1007/s11768-019-7427-0	https://doi.org/10.1007/s11768-019-7427-0	PRON
cana-3377	224	1	[	[	X
cana-3377	224	2	20	20	NUM
cana-3377	224	3	]	]	PUNCT
cana-3377	224	4	keeling	keeling	PROPN
cana-3377	224	5	,	,	PUNCT
cana-3377	224	6	m.j	m.j	PROPN
cana-3377	224	7	.	.	PROPN
cana-3377	224	8	,	,	PUNCT
cana-3377	224	9	dyson	dyson	PROPN
cana-3377	224	10	,	,	PUNCT
cana-3377	224	11	l.	l.	PROPN
cana-3377	224	12	,	,	PUNCT
cana-3377	224	13	"	"	PUNCT
cana-3377	224	14	the	the	DET
cana-3377	224	15	impact	impact	NOUN
cana-3377	224	16	of	of	ADP
cana-3377	224	17	social	social	ADJ
cana-3377	224	18	distancing	distancing	NOUN
cana-3377	224	19	on	on	ADP
cana-3377	224	20	the	the	DET
cana-3377	224	21	spread	spread	NOUN
cana-3377	224	22	of	of	ADP
cana-3377	224	23	infectious	infectious	ADJ
cana-3377	224	24	diseases	disease	NOUN
cana-3377	224	25	:	:	PUNCT
cana-3377	224	26	mathematical	mathematical	ADJ
cana-3377	224	27	analysis	analysis	NOUN
cana-3377	224	28	of	of	ADP
cana-3377	224	29	disease	disease	NOUN
cana-3377	224	30	dynamics	dynamic	NOUN
cana-3377	224	31	"	"	PUNCT
cana-3377	224	32	,	,	PUNCT
cana-3377	224	33	journal	journal	NOUN
cana-3377	224	34	of	of	ADP
cana-3377	224	35	theoretical	theoretical	ADJ
cana-3377	224	36	biology	biology	NOUN
cana-3377	224	37	,	,	PUNCT
cana-3377	224	38	vol	vol	NOUN
cana-3377	224	39	.	.	PROPN
cana-3377	224	40	230	230	NUM
cana-3377	224	41	,	,	PUNCT
cana-3377	224	42	issue	issue	NOUN
cana-3377	224	43	1	1	NUM
cana-3377	224	44	,	,	PUNCT
cana-3377	224	45	pp	pp	ADJ
cana-3377	224	46	.	.	PUNCT
cana-3377	225	1	1	1	NUM
cana-3377	225	2	-	-	SYM
cana-3377	225	3	14	14	NUM
cana-3377	225	4	,	,	PUNCT
cana-3377	225	5	(	(	PUNCT
cana-3377	225	6	2004	2004	NUM
cana-3377	225	7	)	)	PUNCT
cana-3377	225	8	,	,	PUNCT
cana-3377	225	9	https://doi.org/10.1016/j.jtbi.2004.03.014	https://doi.org/10.1016/j.jtbi.2004.03.014	PROPN
cana-3377	225	10	[	[	X
cana-3377	225	11	21	21	NUM
cana-3377	225	12	]	]	X
cana-3377	225	13	diekmann	diekmann	PROPN
cana-3377	225	14	,	,	PUNCT
cana-3377	225	15	o.	o.	PROPN
cana-3377	225	16	,	,	PUNCT
cana-3377	225	17	heesterbeek	heesterbeek	NOUN
cana-3377	225	18	,	,	PUNCT
cana-3377	225	19	j.a.p	j.a.p	PROPN
cana-3377	225	20	.	.	PUNCT
cana-3377	225	21	,	,	PUNCT
cana-3377	225	22	"	"	PUNCT
cana-3377	225	23	mathematical	mathematical	ADJ
cana-3377	225	24	epidemiology	epidemiology	NOUN
cana-3377	225	25	of	of	ADP
cana-3377	225	26	infectious	infectious	ADJ
cana-3377	225	27	diseases	disease	NOUN
cana-3377	225	28	:	:	PUNCT
cana-3377	225	29	an	an	DET
cana-3377	225	30	introduction	introduction	NOUN
cana-3377	225	31	"	"	PUNCT
cana-3377	225	32	,	,	PUNCT
cana-3377	225	33	wiley	wiley	PROPN
cana-3377	225	34	series	series	PROPN
cana-3377	225	35	in	in	ADP
cana-3377	225	36	mathematical	mathematical	ADJ
cana-3377	225	37	and	and	CCONJ
cana-3377	225	38	computational	computational	ADJ
cana-3377	225	39	biology	biology	NOUN
cana-3377	225	40	,	,	PUNCT
cana-3377	225	41	(	(	PUNCT
cana-3377	225	42	2000	2000	NUM
cana-3377	225	43	)	)	PUNCT
cana-3377	225	44	,	,	PUNCT
cana-3377	225	45	https://doi.org/10.1002/9781118032737	https://doi.org/10.1002/9781118032737	X
cana-3377	226	1	[	[	X
cana-3377	226	2	22	22	NUM
cana-3377	226	3	]	]	SYM
cana-3377	226	4	swinehart	swinehart	NOUN
cana-3377	226	5	,	,	PUNCT
cana-3377	226	6	d.	d.	PROPN
cana-3377	226	7	,	,	PUNCT
cana-3377	226	8	"	"	PUNCT
cana-3377	226	9	mathematical	mathematical	ADJ
cana-3377	226	10	models	model	NOUN
cana-3377	226	11	for	for	ADP
cana-3377	226	12	the	the	DET
cana-3377	226	13	spread	spread	NOUN
cana-3377	226	14	of	of	ADP
cana-3377	226	15	infection	infection	NOUN
cana-3377	226	16	in	in	ADP
cana-3377	226	17	populations	population	NOUN
cana-3377	226	18	"	"	PUNCT
cana-3377	226	19	,	,	PUNCT
cana-3377	226	20	journal	journal	NOUN
cana-3377	226	21	of	of	ADP
cana-3377	226	22	mathematical	mathematical	ADJ
cana-3377	226	23	biology	biology	NOUN
cana-3377	226	24	,	,	PUNCT
cana-3377	226	25	vol	vol	NOUN
cana-3377	226	26	.	.	PROPN
cana-3377	226	27	12	12	NUM
cana-3377	226	28	,	,	PUNCT
cana-3377	226	29	issue	issue	NOUN
cana-3377	226	30	3	3	NUM
cana-3377	226	31	,	,	PUNCT
cana-3377	226	32	pp	pp	ADJ
cana-3377	226	33	.	.	PUNCT
cana-3377	227	1	345	345	NUM
cana-3377	227	2	-	-	SYM
cana-3377	227	3	364	364	NUM
cana-3377	227	4	,	,	PUNCT
cana-3377	227	5	(	(	PUNCT
cana-3377	227	6	2011	2011	NUM
cana-3377	227	7	)	)	PUNCT
cana-3377	227	8	,	,	PUNCT
cana-3377	227	9	https://doi.org/10.1007/s00285-011-0423-5	https://doi.org/10.1007/s00285-011-0423-5	X
cana-3377	228	1	[	[	X
cana-3377	228	2	23	23	NUM
cana-3377	228	3	]	]	X
cana-3377	228	4	glasser	glasser	NOUN
cana-3377	228	5	,	,	PUNCT
cana-3377	228	6	j.	j.	PROPN
cana-3377	228	7	,	,	PUNCT
cana-3377	228	8	"	"	PUNCT
cana-3377	228	9	modeling	model	VERB
cana-3377	228	10	disease	disease	NOUN
cana-3377	228	11	spread	spread	VERB
cana-3377	228	12	:	:	PUNCT
cana-3377	228	13	a	a	DET
cana-3377	228	14	case	case	NOUN
cana-3377	228	15	study	study	NOUN
cana-3377	228	16	of	of	ADP
cana-3377	228	17	the	the	DET
cana-3377	228	18	influenza	influenza	NOUN
cana-3377	228	19	epidemic	epidemic	NOUN
cana-3377	228	20	"	"	PUNCT
cana-3377	228	21	,	,	PUNCT
cana-3377	228	22	computers	computer	NOUN
cana-3377	228	23	in	in	ADP
cana-3377	228	24	biology	biology	NOUN
cana-3377	228	25	and	and	CCONJ
cana-3377	228	26	medicine	medicine	NOUN
cana-3377	228	27	,	,	PUNCT
cana-3377	228	28	vol	vol	NOUN
cana-3377	228	29	.	.	PROPN
cana-3377	228	30	35	35	NUM
cana-3377	228	31	,	,	PUNCT
cana-3377	228	32	issue	issue	NOUN
cana-3377	228	33	5	5	NUM
cana-3377	228	34	,	,	PUNCT
cana-3377	228	35	pp	pp	ADJ
cana-3377	228	36	.	.	PUNCT
cana-3377	229	1	437	437	NUM
cana-3377	229	2	-	-	SYM
cana-3377	229	3	447	447	NUM
cana-3377	229	4	,	,	PUNCT
cana-3377	229	5	(	(	PUNCT
cana-3377	229	6	2005	2005	NUM
cana-3377	229	7	)	)	PUNCT
cana-3377	229	8	,	,	PUNCT
cana-3377	229	9	https://doi.org/10.1016/j.compbiomed.2004.11.006	https://doi.org/10.1016/j.compbiomed.2004.11.006	NOUN
cana-3377	229	10	[	[	X
cana-3377	229	11	24	24	NUM
cana-3377	229	12	]	]	SYM
cana-3377	229	13	ferguson	ferguson	PROPN
cana-3377	229	14	,	,	PUNCT
cana-3377	229	15	n.m	n.m	PROPN
cana-3377	229	16	.	.	PROPN
cana-3377	229	17	,	,	PUNCT
cana-3377	229	18	"	"	PUNCT
cana-3377	229	19	the	the	DET
cana-3377	229	20	role	role	NOUN
cana-3377	229	21	of	of	ADP
cana-3377	229	22	mathematical	mathematical	ADJ
cana-3377	229	23	models	model	NOUN
cana-3377	229	24	in	in	ADP
cana-3377	229	25	predicting	predict	VERB
cana-3377	229	26	the	the	DET
cana-3377	229	27	spread	spread	NOUN
cana-3377	229	28	of	of	ADP
cana-3377	229	29	infectious	infectious	ADJ
cana-3377	229	30	disease	disease	NOUN
cana-3377	229	31	"	"	PUNCT
cana-3377	229	32	,	,	PUNCT
cana-3377	229	33	journal	journal	NOUN
cana-3377	229	34	of	of	ADP
cana-3377	229	35	the	the	DET
cana-3377	229	36	royal	royal	ADJ
cana-3377	229	37	society	society	NOUN
cana-3377	229	38	interface	interface	NOUN
cana-3377	229	39	,	,	PUNCT
cana-3377	229	40	vol	vol	NOUN
cana-3377	229	41	.	.	PROPN
cana-3377	229	42	6	6	NUM
cana-3377	229	43	,	,	PUNCT
cana-3377	229	44	issue	issue	NOUN
cana-3377	229	45	36	36	NUM
cana-3377	229	46	,	,	PUNCT
cana-3377	229	47	pp	pp	ADJ
cana-3377	229	48	.	.	PUNCT
cana-3377	230	1	79	79	NUM
cana-3377	230	2	-	-	SYM
cana-3377	230	3	89	89	NUM
cana-3377	230	4	,	,	PUNCT
cana-3377	230	5	(	(	PUNCT
cana-3377	230	6	2009	2009	NUM
cana-3377	230	7	)	)	PUNCT
cana-3377	230	8	,	,	PUNCT
cana-3377	230	9	https://doi.org/10.1098/rsif.2008.0197	https://doi.org/10.1098/rsif.2008.0197	PROPN
cana-3377	231	1	[	[	X
cana-3377	231	2	25	25	NUM
cana-3377	231	3	]	]	SYM
cana-3377	231	4	shrestha	shrestha	NOUN
cana-3377	231	5	,	,	PUNCT
cana-3377	231	6	s.	s.	PROPN
cana-3377	231	7	,	,	PUNCT
cana-3377	231	8	"	"	PUNCT
cana-3377	231	9	applications	application	NOUN
cana-3377	231	10	of	of	ADP
cana-3377	231	11	mathematical	mathematical	ADJ
cana-3377	231	12	models	model	NOUN
cana-3377	231	13	in	in	ADP
cana-3377	231	14	epidemiology	epidemiology	NOUN
cana-3377	231	15	:	:	PUNCT
cana-3377	231	16	a	a	DET
cana-3377	231	17	review	review	NOUN
cana-3377	231	18	of	of	ADP
cana-3377	231	19	classical	classical	ADJ
cana-3377	231	20	and	and	CCONJ
cana-3377	231	21	recent	recent	ADJ
cana-3377	231	22	models	model	NOUN
cana-3377	231	23	"	"	PUNCT
cana-3377	231	24	,	,	PUNCT
cana-3377	231	25	mathematical	mathematical	ADJ
cana-3377	231	26	methods	method	NOUN
cana-3377	231	27	in	in	ADP
cana-3377	231	28	the	the	DET
cana-3377	231	29	applied	apply	VERB
cana-3377	231	30	sciences	science	NOUN
cana-3377	231	31	,	,	PUNCT
cana-3377	231	32	vol	vol	NOUN
cana-3377	231	33	.	.	PROPN
cana-3377	231	34	41	41	NUM
cana-3377	231	35	,	,	PUNCT
cana-3377	231	36	issue	issue	NOUN
cana-3377	231	37	4	4	NUM
cana-3377	231	38	,	,	PUNCT
cana-3377	231	39	pp	pp	ADJ
cana-3377	231	40	.	.	PUNCT
cana-3377	232	1	315	315	NUM
cana-3377	232	2	-	-	SYM
cana-3377	232	3	328	328	NUM
cana-3377	232	4	,	,	PUNCT
cana-3377	232	5	(	(	PUNCT
cana-3377	232	6	2018	2018	NUM
cana-3377	232	7	)	)	PUNCT
cana-3377	232	8	,	,	PUNCT
cana-3377	232	9	https://doi.org/10.1002/mma.5151	https://doi.org/10.1002/mma.5151	PROPN