id	sid	tid	token	lemma	pos
cana-2101	1	1	communications	communication	NOUN
cana-2101	1	2	on	on	ADP
cana-2101	1	3	applied	apply	VERB
cana-2101	1	4	nonlinear	nonlinear	ADJ
cana-2101	1	5	analysis	analysis	NOUN
cana-2101	1	6	issn	issn	NOUN
cana-2101	1	7	:	:	PUNCT
cana-2101	1	8	1074	1074	NUM
cana-2101	1	9	-	-	PUNCT
cana-2101	1	10	133x	133x	NUM
cana-2101	1	11	vol	vol	NOUN
cana-2101	1	12	32	32	NUM
cana-2101	1	13	no	no	NOUN
cana-2101	1	14	.	.	PUNCT
cana-2101	2	1	1s	1s	NUM
cana-2101	2	2	(	(	PUNCT
cana-2101	2	3	2025	2025	NUM
cana-2101	2	4	)	)	PUNCT
cana-2101	2	5	54	54	NUM
cana-2101	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2101	2	7	mathematical	mathematical	ADJ
cana-2101	2	8	models	model	NOUN
cana-2101	2	9	for	for	ADP
cana-2101	2	10	infectious	infectious	ADJ
cana-2101	2	11	disease	disease	NOUN
cana-2101	2	12	dynamics	dynamic	NOUN
cana-2101	2	13	and	and	CCONJ
cana-2101	2	14	control	control	NOUN
cana-2101	2	15	strategies	strategy	NOUN
cana-2101	2	16	*	*	PUNCT
cana-2101	2	17	mr	mr	PROPN
cana-2101	2	18	.	.	PROPN
cana-2101	2	19	vinayak	vinayak	PROPN
cana-2101	2	20	kishan	kishan	PROPN
cana-2101	2	21	nirmale1	nirmale1	PROPN
cana-2101	2	22	,	,	PUNCT
cana-2101	2	23	dr	dr	PROPN
cana-2101	2	24	.	.	PROPN
cana-2101	2	25	g.	g.	PROPN
cana-2101	2	26	kuppuswami2	kuppuswami2	PROPN
cana-2101	2	27	,	,	PUNCT
cana-2101	2	28	dr	dr	PROPN
cana-2101	2	29	.	.	PROPN
cana-2101	2	30	p.	p.	PROPN
cana-2101	2	31	satish3	satish3	PROPN
cana-2101	2	32	,	,	PUNCT
cana-2101	2	33	dr	dr	PROPN
cana-2101	2	34	.	.	PROPN
cana-2101	2	35	n.	n.	PROPN
cana-2101	2	36	konda	konda	PROPN
cana-2101	2	37	reddy4	reddy4	PROPN
cana-2101	2	38	,	,	PUNCT
cana-2101	2	39	dr	dr	PROPN
cana-2101	2	40	.	.	PROPN
cana-2101	2	41	arvind	arvind	PROPN
cana-2101	2	42	r.	r.	PROPN
cana-2101	2	43	bhagat	bhagat	PROPN
cana-2101	2	44	patil5	patil5	PROPN
cana-2101	2	45	,	,	PUNCT
cana-2101	2	46	dr	dr	PROPN
cana-2101	2	47	.	.	PROPN
cana-2101	2	48	rajat	rajat	PROPN
cana-2101	2	49	pandit6	pandit6	PROPN
cana-2101	2	50	,	,	PUNCT
cana-2101	2	51	mrs	mrs	PROPN
cana-2101	2	52	.	.	PROPN
cana-2101	2	53	ruchira	ruchira	PROPN
cana-2101	2	54	tare7	tare7	NOUN
cana-2101	3	1	1lecturer	1lecturer	NUM
cana-2101	3	2	in	in	ADP
cana-2101	3	3	mathematics	mathematic	NOUN
cana-2101	3	4	,	,	PUNCT
cana-2101	3	5	department	department	NOUN
cana-2101	3	6	of	of	ADP
cana-2101	3	7	polytechnic	polytechnic	ADJ
cana-2101	3	8	,	,	PUNCT
cana-2101	3	9	mit	mit	NOUN
cana-2101	3	10	world	world	NOUN
cana-2101	3	11	peace	peace	NOUN
cana-2101	3	12	university	university	PROPN
cana-2101	3	13	,	,	PUNCT
cana-2101	3	14	pune	pune	NOUN
cana-2101	3	15	,	,	PUNCT
cana-2101	3	16	maharashtra	maharashtra	PROPN
cana-2101	3	17	,	,	PUNCT
cana-2101	3	18	india	india	PROPN
cana-2101	3	19	,	,	PUNCT
cana-2101	3	20	pincode	pincode	PROPN
cana-2101	3	21	:	:	PUNCT
cana-2101	3	22	411038	411038	NUM
cana-2101	3	23	.	.	PUNCT
cana-2101	4	1	email	email	NOUN
cana-2101	4	2	:	:	PUNCT
cana-2101	4	3	vinayak.nirmale@mitwpu.edu.in	vinayak.nirmale@mitwpu.edu.in	VERB
cana-2101	4	4	2assistant	2assistant	NUM
cana-2101	4	5	professor	professor	NOUN
cana-2101	4	6	,	,	PUNCT
cana-2101	4	7	department	department	NOUN
cana-2101	4	8	of	of	ADP
cana-2101	4	9	mathematics	mathematic	NOUN
cana-2101	4	10	,	,	PUNCT
cana-2101	4	11	panimalar	panimalar	ADJ
cana-2101	4	12	engineering	engineering	NOUN
cana-2101	4	13	college	college	NOUN
cana-2101	4	14	,	,	PUNCT
cana-2101	4	15	chennai	chennai	PROPN
cana-2101	4	16	,	,	PUNCT
cana-2101	4	17	tamilnadu	tamilnadu	NOUN
cana-2101	4	18	,	,	PUNCT
cana-2101	4	19	india	india	PROPN
cana-2101	4	20	,	,	PUNCT
cana-2101	4	21	pincode	pincode	PROPN
cana-2101	4	22	:	:	PUNCT
cana-2101	4	23	600123	600123	NUM
cana-2101	4	24	.	.	PUNCT
cana-2101	5	1	email	email	NOUN
cana-2101	5	2	i	i	PROPN
cana-2101	5	3	d	d	PROPN
cana-2101	5	4	:	:	PUNCT
cana-2101	6	1	gkuppuswamiji@gmail.com	gkuppuswamiji@gmail.com	PROPN
cana-2101	6	2	3associate	3associate	NUM
cana-2101	6	3	professor	professor	NOUN
cana-2101	6	4	,	,	PUNCT
cana-2101	6	5	department	department	NOUN
cana-2101	6	6	of	of	ADP
cana-2101	6	7	mathematics	mathematics	PROPN
cana-2101	6	8	,	,	PUNCT
cana-2101	6	9	aditya	aditya	PROPN
cana-2101	6	10	university	university	PROPN
cana-2101	6	11	,	,	PUNCT
cana-2101	6	12	surampalem	surampalem	NOUN
cana-2101	6	13	,	,	PUNCT
cana-2101	6	14	andhra	andhra	PROPN
cana-2101	6	15	pradesh	pradesh	PROPN
cana-2101	6	16	,	,	PUNCT
cana-2101	6	17	india	india	PROPN
cana-2101	6	18	,	,	PUNCT
cana-2101	6	19	pincode	pincode	PROPN
cana-2101	6	20	:	:	PUNCT
cana-2101	6	21	533437	533437	NUM
cana-2101	6	22	.	.	PUNCT
cana-2101	7	1	email	email	NOUN
cana-2101	7	2	idsatishmaths.7@gmail.com	idsatishmaths.7@gmail.com	X
cana-2101	8	1	4associate	4associate	NUM
cana-2101	8	2	professor	professor	NOUN
cana-2101	8	3	,	,	PUNCT
cana-2101	8	4	department	department	NOUN
cana-2101	8	5	of	of	ADP
cana-2101	8	6	mathematics	mathematic	NOUN
cana-2101	8	7	,	,	PUNCT
cana-2101	8	8	koneru	koneru	PROPN
cana-2101	8	9	lakshmaiah	lakshmaiah	PROPN
cana-2101	8	10	education	education	PROPN
cana-2101	8	11	foundation	foundation	PROPN
cana-2101	8	12	,	,	PUNCT
cana-2101	8	13	greenfields	greenfield	NOUN
cana-2101	8	14	,	,	PUNCT
cana-2101	8	15	vaddeswaram	vaddeswaram	PROPN
cana-2101	8	16	,	,	PUNCT
cana-2101	8	17	guntur	guntur	PROPN
cana-2101	8	18	,	,	PUNCT
cana-2101	8	19	andhra	andhra	PROPN
cana-2101	8	20	pradesh	pradesh	PROPN
cana-2101	8	21	,	,	PUNCT
cana-2101	8	22	india	india	PROPN
cana-2101	8	23	,	,	PUNCT
cana-2101	8	24	pincode	pincode	ADJ
cana-2101	8	25	:	:	PUNCT
cana-2101	8	26	522302	522302	NUM
cana-2101	8	27	.	.	PUNCT
cana-2101	9	1	e	e	X
cana-2101	9	2	mail	mail	NOUN
cana-2101	9	3	:	:	PUNCT
cana-2101	9	4	kondareddymamatha@gmail.com	kondareddymamatha@gmail.com	X
cana-2101	10	1	5dean	5dean	NUM
cana-2101	10	2	,	,	PUNCT
cana-2101	10	3	department	department	NOUN
cana-2101	10	4	of	of	ADP
cana-2101	10	5	computer	computer	NOUN
cana-2101	10	6	technology	technology	NOUN
cana-2101	10	7	,	,	PUNCT
cana-2101	10	8	yeshwantrao	yeshwantrao	NOUN
cana-2101	10	9	chavan	chavan	PROPN
cana-2101	10	10	college	college	PROPN
cana-2101	10	11	of	of	ADP
cana-2101	10	12	engineering	engineering	PROPN
cana-2101	10	13	,	,	PUNCT
cana-2101	10	14	nagpur	nagpur	PROPN
cana-2101	10	15	,	,	PUNCT
cana-2101	10	16	india	india	PROPN
cana-2101	10	17	,	,	PUNCT
cana-2101	10	18	pincode	pincode	PROPN
cana-2101	10	19	:	:	PUNCT
cana-2101	10	20	441110	441110	NUM
cana-2101	10	21	.	.	PUNCT
cana-2101	11	1	email	email	NOUN
cana-2101	11	2	:	:	PUNCT
cana-2101	11	3	arbhagatpatil@gmail.com	arbhagatpatil@gmail.com	X
cana-2101	12	1	6assistant	6assistant	NUM
cana-2101	12	2	professor	professor	NOUN
cana-2101	12	3	,	,	PUNCT
cana-2101	12	4	department	department	NOUN
cana-2101	12	5	of	of	ADP
cana-2101	12	6	computer	computer	NOUN
cana-2101	12	7	science	science	NOUN
cana-2101	12	8	,	,	PUNCT
cana-2101	12	9	west	west	PROPN
cana-2101	12	10	bengal	bengal	PROPN
cana-2101	12	11	state	state	PROPN
cana-2101	12	12	university	university	PROPN
cana-2101	12	13	barasat	barasat	VERB
cana-2101	12	14	,	,	PUNCT
cana-2101	12	15	west	west	PROPN
cana-2101	12	16	bengal	bengal	PROPN
cana-2101	12	17	,	,	PUNCT
cana-2101	12	18	india	india	PROPN
cana-2101	12	19	,	,	PUNCT
cana-2101	12	20	pincode	pincode	ADJ
cana-2101	12	21	:	:	PUNCT
cana-2101	12	22	700126	700126	NUM
cana-2101	12	23	.	.	PUNCT
cana-2101	13	1	email	email	NOUN
cana-2101	13	2	:	:	PUNCT
cana-2101	13	3	rajatpandit123@gmail.com	rajatpandit123@gmail.com	X
cana-2101	13	4	7assistant	7assistant	NUM
cana-2101	13	5	professor	professor	NOUN
cana-2101	13	6	,	,	PUNCT
cana-2101	13	7	department	department	NOUN
cana-2101	13	8	of	of	ADP
cana-2101	13	9	computer	computer	NOUN
cana-2101	13	10	engineering	engineering	NOUN
cana-2101	13	11	,	,	PUNCT
cana-2101	13	12	bharati	bharati	PROPN
cana-2101	13	13	vidyapeeth	vidyapeeth	PROPN
cana-2101	13	14	(	(	PUNCT
cana-2101	13	15	deemed	deem	VERB
cana-2101	13	16	to	to	PART
cana-2101	13	17	be	be	AUX
cana-2101	13	18	university	university	NOUN
cana-2101	13	19	)	)	PUNCT
cana-2101	13	20	college	college	NOUN
cana-2101	13	21	of	of	ADP
cana-2101	13	22	engineering	engineering	NOUN
cana-2101	13	23	,	,	PUNCT
cana-2101	13	24	pune	pune	PROPN
cana-2101	13	25	,	,	PUNCT
cana-2101	13	26	maharashtra	maharashtra	PROPN
cana-2101	13	27	,	,	PUNCT
cana-2101	13	28	india	india	PROPN
cana-2101	13	29	,	,	PUNCT
cana-2101	13	30	pincode	pincode	ADJ
cana-2101	13	31	:	:	PUNCT
cana-2101	13	32	411043.email	411043.email	NOUN
cana-2101	13	33	idrktare@bvucoep.edu.in	idrktare@bvucoep.edu.in	NOUN
cana-2101	13	34	article	article	NOUN
cana-2101	13	35	history	history	NOUN
cana-2101	13	36	:	:	PUNCT
cana-2101	13	37	received	receive	VERB
cana-2101	13	38	:	:	PUNCT
cana-2101	13	39	06	06	NUM
cana-2101	13	40	-	-	SYM
cana-2101	13	41	08	08	NUM
cana-2101	13	42	-	-	PUNCT
cana-2101	13	43	2024	2024	NUM
cana-2101	13	44	revised	revise	VERB
cana-2101	13	45	:	:	PUNCT
cana-2101	13	46	24	24	NUM
cana-2101	13	47	-	-	PUNCT
cana-2101	13	48	09	09	NUM
cana-2101	13	49	-	-	PUNCT
cana-2101	13	50	2024	2024	NUM
cana-2101	13	51	accepted	accept	VERB
cana-2101	13	52	:	:	PUNCT
cana-2101	13	53	08	08	NUM
cana-2101	13	54	-	-	SYM
cana-2101	13	55	10	10	NUM
cana-2101	13	56	-	-	PUNCT
cana-2101	13	57	2024	2024	NUM
cana-2101	13	58	abstract	abstract	NOUN
cana-2101	13	59	:	:	PUNCT
cana-2101	13	60	the	the	DET
cana-2101	13	61	study	study	NOUN
cana-2101	13	62	explores	explore	VERB
cana-2101	13	63	mathematical	mathematical	ADJ
cana-2101	13	64	models	model	NOUN
cana-2101	13	65	related	relate	VERB
cana-2101	13	66	to	to	ADP
cana-2101	13	67	the	the	DET
cana-2101	13	68	dynamics	dynamic	NOUN
cana-2101	13	69	of	of	ADP
cana-2101	13	70	infectious	infectious	ADJ
cana-2101	13	71	diseases	disease	NOUN
cana-2101	13	72	and	and	CCONJ
cana-2101	13	73	approaches	approach	NOUN
cana-2101	13	74	to	to	PART
cana-2101	13	75	manage	manage	VERB
cana-2101	13	76	them	they	PRON
cana-2101	13	77	.	.	PUNCT
cana-2101	14	1	these	these	DET
cana-2101	14	2	models	model	NOUN
cana-2101	14	3	are	be	AUX
cana-2101	14	4	essential	essential	ADJ
cana-2101	14	5	resources	resource	NOUN
cana-2101	14	6	for	for	ADP
cana-2101	14	7	comprehending	comprehend	VERB
cana-2101	14	8	how	how	SCONJ
cana-2101	14	9	illnesses	illness	NOUN
cana-2101	14	10	spread	spread	VERB
cana-2101	14	11	throughout	throughout	ADP
cana-2101	14	12	people	people	NOUN
cana-2101	14	13	and	and	CCONJ
cana-2101	14	14	assessing	assess	VERB
cana-2101	14	15	how	how	SCONJ
cana-2101	14	16	well	well	ADV
cana-2101	14	17	control	control	NOUN
cana-2101	14	18	strategies	strategy	NOUN
cana-2101	14	19	work	work	VERB
cana-2101	14	20	.	.	PUNCT
cana-2101	15	1	the	the	DET
cana-2101	15	2	study	study	NOUN
cana-2101	15	3	of	of	ADP
cana-2101	15	4	infectious	infectious	ADJ
cana-2101	15	5	disease	disease	NOUN
cana-2101	15	6	epidemiology	epidemiology	NOUN
cana-2101	15	7	heavily	heavily	ADV
cana-2101	15	8	relies	rely	VERB
cana-2101	15	9	on	on	ADP
cana-2101	15	10	mathematical	mathematical	ADJ
cana-2101	15	11	modeling	modeling	NOUN
cana-2101	15	12	and	and	CCONJ
cana-2101	15	13	analysis	analysis	NOUN
cana-2101	15	14	.	.	PUNCT
cana-2101	16	1	here	here	ADV
cana-2101	16	2	,	,	PUNCT
cana-2101	16	3	we	we	PRON
cana-2101	16	4	give	give	VERB
cana-2101	16	5	a	a	DET
cana-2101	16	6	clear	clear	ADJ
cana-2101	16	7	overview	overview	NOUN
cana-2101	16	8	of	of	ADP
cana-2101	16	9	the	the	DET
cana-2101	16	10	spread	spread	NOUN
cana-2101	16	11	of	of	ADP
cana-2101	16	12	disease	disease	NOUN
cana-2101	16	13	,	,	PUNCT
cana-2101	16	14	explain	explain	VERB
cana-2101	16	15	how	how	SCONJ
cana-2101	16	16	to	to	PART
cana-2101	16	17	mathematically	mathematically	ADV
cana-2101	16	18	model	model	VERB
cana-2101	16	19	this	this	DET
cana-2101	16	20	stochastic	stochastic	ADJ
cana-2101	16	21	process	process	NOUN
cana-2101	16	22	,	,	PUNCT
cana-2101	16	23	and	and	CCONJ
cana-2101	16	24	show	show	VERB
cana-2101	16	25	how	how	SCONJ
cana-2101	16	26	to	to	PART
cana-2101	16	27	utilize	utilize	VERB
cana-2101	16	28	this	this	DET
cana-2101	16	29	mathematical	mathematical	ADJ
cana-2101	16	30	representation	representation	NOUN
cana-2101	16	31	to	to	PART
cana-2101	16	32	analyze	analyze	VERB
cana-2101	16	33	the	the	DET
cana-2101	16	34	emergent	emergent	ADJ
cana-2101	16	35	dynamics	dynamic	NOUN
cana-2101	16	36	of	of	ADP
cana-2101	16	37	real	real	ADJ
cana-2101	16	38	-	-	PUNCT
cana-2101	16	39	world	world	NOUN
cana-2101	16	40	epidemics	epidemic	NOUN
cana-2101	16	41	.	.	PUNCT
cana-2101	17	1	the	the	DET
cana-2101	17	2	advancement	advancement	NOUN
cana-2101	17	3	of	of	ADP
cana-2101	17	4	mathematical	mathematical	ADJ
cana-2101	17	5	analysis	analysis	NOUN
cana-2101	17	6	and	and	CCONJ
cana-2101	17	7	modeling	modeling	NOUN
cana-2101	17	8	is	be	AUX
cana-2101	17	9	crucial	crucial	ADJ
cana-2101	17	10	to	to	ADP
cana-2101	17	11	our	our	PRON
cana-2101	17	12	expanding	expand	VERB
cana-2101	17	13	comprehension	comprehension	NOUN
cana-2101	17	14	of	of	ADP
cana-2101	17	15	the	the	DET
cana-2101	17	16	evolution	evolution	NOUN
cana-2101	17	17	and	and	CCONJ
cana-2101	17	18	ecology	ecology	NOUN
cana-2101	17	19	of	of	ADP
cana-2101	17	20	pathogens	pathogen	NOUN
cana-2101	17	21	.	.	PUNCT
cana-2101	18	1	this	this	DET
cana-2101	18	2	study	study	NOUN
cana-2101	18	3	emphasizes	emphasize	VERB
cana-2101	18	4	how	how	SCONJ
cana-2101	18	5	important	important	ADJ
cana-2101	18	6	mathematical	mathematical	ADJ
cana-2101	18	7	modeling	modeling	NOUN
cana-2101	18	8	is	be	AUX
cana-2101	18	9	to	to	ADP
cana-2101	18	10	improving	improve	VERB
cana-2101	18	11	our	our	PRON
cana-2101	18	12	knowledge	knowledge	NOUN
cana-2101	18	13	of	of	ADP
cana-2101	18	14	the	the	DET
cana-2101	18	15	dynamics	dynamic	NOUN
cana-2101	18	16	of	of	ADP
cana-2101	18	17	infectious	infectious	ADJ
cana-2101	18	18	diseases	disease	NOUN
cana-2101	18	19	and	and	CCONJ
cana-2101	18	20	how	how	SCONJ
cana-2101	18	21	crucial	crucial	ADJ
cana-2101	18	22	it	it	PRON
cana-2101	18	23	is	be	AUX
cana-2101	18	24	to	to	ADP
cana-2101	18	25	creating	create	VERB
cana-2101	18	26	efficient	efficient	ADJ
cana-2101	18	27	management	management	NOUN
cana-2101	18	28	plans	plan	NOUN
cana-2101	18	29	to	to	PART
cana-2101	18	30	lessen	lessen	VERB
cana-2101	18	31	the	the	DET
cana-2101	18	32	burden	burden	NOUN
cana-2101	18	33	of	of	ADP
cana-2101	18	34	infectious	infectious	ADJ
cana-2101	18	35	diseases	disease	NOUN
cana-2101	18	36	on	on	ADP
cana-2101	18	37	public	public	ADJ
cana-2101	18	38	health	health	NOUN
cana-2101	18	39	.	.	PUNCT
cana-2101	19	1	keywords	keyword	NOUN
cana-2101	19	2	:	:	PUNCT
cana-2101	19	3	mathematical	mathematical	ADJ
cana-2101	19	4	,	,	PUNCT
cana-2101	19	5	models	model	NOUN
cana-2101	19	6	,	,	PUNCT
cana-2101	19	7	infectious	infectious	ADJ
cana-2101	19	8	,	,	PUNCT
cana-2101	19	9	disease	disease	NOUN
cana-2101	19	10	,	,	PUNCT
cana-2101	19	11	dynamics	dynamic	NOUN
cana-2101	19	12	,	,	PUNCT
cana-2101	19	13	epidemics	epidemic	NOUN
cana-2101	19	14	1	1	NUM
cana-2101	19	15	.	.	PUNCT
cana-2101	20	1	introduction	introduction	NOUN
cana-2101	20	2	containing	contain	VERB
cana-2101	20	3	several	several	ADJ
cana-2101	20	4	threats	threat	NOUN
cana-2101	20	5	to	to	ADP
cana-2101	20	6	both	both	DET
cana-2101	20	7	global	global	ADJ
cana-2101	20	8	health	health	NOUN
cana-2101	20	9	security	security	NOUN
cana-2101	20	10	and	and	CCONJ
cana-2101	20	11	societal	societal	ADJ
cana-2101	20	12	well	well	ADV
cana-2101	20	13	-	-	PUNCT
cana-2101	20	14	being	being	NOUN
cana-2101	20	15	,	,	PUNCT
cana-2101	20	16	infectious	infectious	ADJ
cana-2101	20	17	illnesses	illness	NOUN
cana-2101	20	18	have	have	AUX
cana-2101	20	19	long	long	ADV
cana-2101	20	20	been	be	AUX
cana-2101	20	21	a	a	DET
cana-2101	20	22	major	major	ADJ
cana-2101	20	23	public	public	ADJ
cana-2101	20	24	health	health	NOUN
cana-2101	20	25	concern	concern	NOUN
cana-2101	20	26	.	.	PUNCT
cana-2101	21	1	research	research	NOUN
cana-2101	21	2	in	in	ADP
cana-2101	21	3	epidemiology	epidemiology	NOUN
cana-2101	21	4	and	and	CCONJ
cana-2101	21	5	public	public	ADJ
cana-2101	21	6	health	health	NOUN
cana-2101	21	7	has	have	AUX
cana-2101	21	8	revolved	revolve	VERB
cana-2101	21	9	around	around	ADP
cana-2101	21	10	the	the	DET
cana-2101	21	11	study	study	NOUN
cana-2101	21	12	of	of	ADP
cana-2101	21	13	the	the	DET
cana-2101	21	14	dynamics	dynamic	NOUN
cana-2101	21	15	of	of	ADP
cana-2101	21	16	infectious	infectious	ADJ
cana-2101	21	17	diseases	disease	NOUN
cana-2101	21	18	and	and	CCONJ
cana-2101	21	19	the	the	DET
cana-2101	21	20	creation	creation	NOUN
cana-2101	21	21	of	of	ADP
cana-2101	21	22	efficient	efficient	ADJ
cana-2101	21	23	control	control	NOUN
cana-2101	21	24	methods	method	NOUN
cana-2101	21	25	.	.	PUNCT
cana-2101	22	1	clarifying	clarify	VERB
cana-2101	22	2	the	the	DET
cana-2101	22	3	complex	complex	ADJ
cana-2101	22	4	dynamics	dynamic	NOUN
cana-2101	22	5	of	of	ADP
cana-2101	22	6	infectious	infectious	ADJ
cana-2101	22	7	diseases	disease	NOUN
cana-2101	22	8	in	in	ADP
cana-2101	22	9	populations	population	NOUN
cana-2101	22	10	and	and	CCONJ
cana-2101	22	11	evaluating	evaluate	VERB
cana-2101	22	12	the	the	DET
cana-2101	22	13	effects	effect	NOUN
cana-2101	22	14	of	of	ADP
cana-2101	22	15	different	different	ADJ
cana-2101	22	16	treatments	treatment	NOUN
cana-2101	22	17	for	for	ADP
cana-2101	22	18	disease	disease	NOUN
cana-2101	22	19	control	control	NOUN
cana-2101	22	20	and	and	CCONJ
cana-2101	22	21	prevention	prevention	NOUN
cana-2101	22	22	are	be	AUX
cana-2101	22	23	made	make	VERB
cana-2101	22	24	possible	possible	ADJ
cana-2101	22	25	by	by	ADP
cana-2101	22	26	mathematical	mathematical	ADJ
cana-2101	22	27	modeling	modeling	NOUN
cana-2101	22	28	.	.	PUNCT
cana-2101	23	1	the	the	DET
cana-2101	23	2	significance	significance	NOUN
cana-2101	23	3	of	of	ADP
cana-2101	23	4	mathematical	mathematical	ADJ
cana-2101	23	5	models	model	NOUN
cana-2101	23	6	in	in	ADP
cana-2101	23	7	comprehending	comprehend	VERB
cana-2101	23	8	the	the	DET
cana-2101	23	9	dynamics	dynamic	NOUN
cana-2101	23	10	of	of	ADP
cana-2101	23	11	infectious	infectious	ADJ
cana-2101	23	12	diseases	disease	NOUN
cana-2101	23	13	is	be	AUX
cana-2101	23	14	summarized	summarize	VERB
cana-2101	23	15	in	in	ADP
cana-2101	23	16	this	this	DET
cana-2101	23	17	introduction	introduction	NOUN
cana-2101	23	18	,	,	PUNCT
cana-2101	23	19	along	along	ADP
cana-2101	23	20	with	with	ADP
cana-2101	23	21	how	how	SCONJ
cana-2101	23	22	they	they	PRON
cana-2101	23	23	help	help	VERB
cana-2101	23	24	shape	shape	VERB
cana-2101	23	25	evidence	evidence	NOUN
cana-2101	23	26	-	-	PUNCT
cana-2101	23	27	based	base	VERB
cana-2101	23	28	management	management	NOUN
cana-2101	23	29	measures	measure	NOUN
cana-2101	23	30	.	.	PUNCT
cana-2101	24	1	to	to	PART
cana-2101	24	2	develop	develop	VERB
cana-2101	24	3	prompt	prompt	ADJ
cana-2101	24	4	and	and	CCONJ
cana-2101	24	5	efficient	efficient	ADJ
cana-2101	24	6	control	control	NOUN
cana-2101	24	7	strategies	strategy	NOUN
cana-2101	24	8	,	,	PUNCT
cana-2101	24	9	it	it	PRON
cana-2101	24	10	is	be	AUX
cana-2101	24	11	imperative	imperative	ADJ
cana-2101	24	12	to	to	ADP
cana-2101	24	13	mailto:vinayak.nirmale@mitwpu.edu.in	mailto:vinayak.nirmale@mitwpu.edu.in	PROPN
cana-2101	24	14	mailto:gkuppuswamiji@gmail.com	mailto:gkuppuswamiji@gmail.com	NOUN
cana-2101	25	1	mailto:satishmaths.7@gmail.com	mailto:satishmaths.7@gmail.com	X
cana-2101	25	2	mailto:kondareddymamatha@gmail.com	mailto:kondareddymamatha@gmail.com	X
cana-2101	25	3	mailto:arbhagatpatil@gmail.com	mailto:arbhagatpatil@gmail.com	X
cana-2101	26	1	mailto:rajatpandit123@gmail.com	mailto:rajatpandit123@gmail.com	X
cana-2101	26	2	mailto:rktare@bvucoep.edu.in	mailto:rktare@bvucoep.edu.in	ADJ
cana-2101	26	3	communications	communication	NOUN
cana-2101	26	4	on	on	ADP
cana-2101	26	5	applied	apply	VERB
cana-2101	26	6	nonlinear	nonlinear	ADJ
cana-2101	26	7	analysis	analysis	NOUN
cana-2101	26	8	issn	issn	NOUN
cana-2101	26	9	:	:	PUNCT
cana-2101	26	10	1074	1074	NUM
cana-2101	26	11	-	-	PUNCT
cana-2101	26	12	133x	133x	NUM
cana-2101	26	13	vol	vol	NOUN
cana-2101	26	14	32	32	NUM
cana-2101	26	15	no	no	NOUN
cana-2101	26	16	.	.	PUNCT
cana-2101	27	1	1s	1s	NUM
cana-2101	27	2	(	(	PUNCT
cana-2101	27	3	2025	2025	NUM
cana-2101	27	4	)	)	PUNCT
cana-2101	27	5	55	55	NUM
cana-2101	27	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2101	27	7	comprehend	comprehend	VERB
cana-2101	27	8	the	the	DET
cana-2101	27	9	dynamics	dynamic	NOUN
cana-2101	27	10	of	of	ADP
cana-2101	27	11	infectious	infectious	ADJ
cana-2101	27	12	disease	disease	NOUN
cana-2101	27	13	spread	spread	VERB
cana-2101	27	14	and	and	CCONJ
cana-2101	27	15	transmission	transmission	NOUN
cana-2101	27	16	.	.	PUNCT
cana-2101	28	1	an	an	DET
cana-2101	28	2	effective	effective	ADJ
cana-2101	28	3	way	way	NOUN
cana-2101	28	4	to	to	PART
cana-2101	28	5	represent	represent	VERB
cana-2101	28	6	the	the	DET
cana-2101	28	7	intricate	intricate	ADJ
cana-2101	28	8	interactions	interaction	NOUN
cana-2101	28	9	between	between	ADP
cana-2101	28	10	variables	variable	NOUN
cana-2101	28	11	affecting	affect	VERB
cana-2101	28	12	the	the	DET
cana-2101	28	13	spread	spread	NOUN
cana-2101	28	14	of	of	ADP
cana-2101	28	15	disease	disease	NOUN
cana-2101	28	16	,	,	PUNCT
cana-2101	28	17	such	such	ADJ
cana-2101	28	18	as	as	ADP
cana-2101	28	19	pathogen	pathogen	NOUN
cana-2101	28	20	traits	trait	NOUN
cana-2101	28	21	,	,	PUNCT
cana-2101	28	22	environmental	environmental	ADJ
cana-2101	28	23	factors	factor	NOUN
cana-2101	28	24	,	,	PUNCT
cana-2101	28	25	and	and	CCONJ
cana-2101	28	26	population	population	NOUN
cana-2101	28	27	demography	demography	NOUN
cana-2101	28	28	,	,	PUNCT
cana-2101	28	29	is	be	AUX
cana-2101	28	30	through	through	ADP
cana-2101	28	31	mathematical	mathematical	ADJ
cana-2101	28	32	models	model	NOUN
cana-2101	28	33	.	.	PUNCT
cana-2101	29	1	researchers	researcher	NOUN
cana-2101	29	2	can	can	AUX
cana-2101	29	3	experiment	experiment	VERB
cana-2101	29	4	with	with	ADP
cana-2101	29	5	various	various	ADJ
cana-2101	29	6	scenarios	scenario	NOUN
cana-2101	29	7	,	,	PUNCT
cana-2101	29	8	model	model	NOUN
cana-2101	29	9	disease	disease	NOUN
cana-2101	29	10	outbreaks	outbreak	NOUN
cana-2101	29	11	,	,	PUNCT
cana-2101	29	12	and	and	CCONJ
cana-2101	29	13	evaluate	evaluate	VERB
cana-2101	29	14	the	the	DET
cana-2101	29	15	potential	potential	ADJ
cana-2101	29	16	efficacy	efficacy	NOUN
cana-2101	29	17	of	of	ADP
cana-2101	29	18	control	control	NOUN
cana-2101	29	19	techniques	technique	NOUN
cana-2101	29	20	prior	prior	ADV
cana-2101	29	21	to	to	ADP
cana-2101	29	22	deployment	deployment	NOUN
cana-2101	29	23	by	by	ADP
cana-2101	29	24	integrating	integrate	VERB
cana-2101	29	25	these	these	DET
cana-2101	29	26	data	datum	NOUN
cana-2101	29	27	into	into	ADP
cana-2101	29	28	mathematical	mathematical	ADJ
cana-2101	29	29	frameworks	framework	NOUN
cana-2101	29	30	.	.	PUNCT
cana-2101	30	1	by	by	ADP
cana-2101	30	2	using	use	VERB
cana-2101	30	3	modeling	modeling	NOUN
cana-2101	30	4	,	,	PUNCT
cana-2101	30	5	public	public	ADJ
cana-2101	30	6	health	health	NOUN
cana-2101	30	7	professionals	professional	NOUN
cana-2101	30	8	and	and	CCONJ
cana-2101	30	9	policymakers	policymaker	NOUN
cana-2101	30	10	can	can	AUX
cana-2101	30	11	lessen	lessen	VERB
cana-2101	30	12	the	the	DET
cana-2101	30	13	strain	strain	NOUN
cana-2101	30	14	on	on	ADP
cana-2101	30	15	healthcare	healthcare	NOUN
cana-2101	30	16	systems	system	NOUN
cana-2101	30	17	,	,	PUNCT
cana-2101	30	18	prevent	prevent	VERB
cana-2101	30	19	the	the	DET
cana-2101	30	20	spread	spread	NOUN
cana-2101	30	21	of	of	ADP
cana-2101	30	22	disease	disease	NOUN
cana-2101	30	23	,	,	PUNCT
cana-2101	30	24	and	and	CCONJ
cana-2101	30	25	anticipate	anticipate	VERB
cana-2101	30	26	disease	disease	NOUN
cana-2101	30	27	patterns	pattern	NOUN
cana-2101	30	28	.	.	PUNCT
cana-2101	31	1	they	they	PRON
cana-2101	31	2	can	can	AUX
cana-2101	31	3	also	also	ADV
cana-2101	31	4	allocate	allocate	VERB
cana-2101	31	5	resources	resource	NOUN
cana-2101	31	6	more	more	ADV
cana-2101	31	7	effectively	effectively	ADV
cana-2101	31	8	and	and	CCONJ
cana-2101	31	9	implement	implement	VERB
cana-2101	31	10	focused	focused	ADJ
cana-2101	31	11	treatments	treatment	NOUN
cana-2101	31	12	mathematical	mathematical	ADJ
cana-2101	31	13	models	model	NOUN
cana-2101	31	14	also	also	ADV
cana-2101	31	15	give	give	VERB
cana-2101	31	16	light	light	NOUN
cana-2101	31	17	on	on	ADP
cana-2101	31	18	important	important	ADJ
cana-2101	31	19	variables	variable	NOUN
cana-2101	31	20	including	include	VERB
cana-2101	31	21	pathogen	pathogen	NOUN
cana-2101	31	22	development	development	NOUN
cana-2101	31	23	,	,	PUNCT
cana-2101	31	24	herd	herd	NOUN
cana-2101	31	25	immunity	immunity	NOUN
cana-2101	31	26	,	,	PUNCT
cana-2101	31	27	and	and	CCONJ
cana-2101	31	28	the	the	DET
cana-2101	31	29	influence	influence	NOUN
cana-2101	31	30	of	of	ADP
cana-2101	31	31	human	human	ADJ
cana-2101	31	32	behavior	behavior	NOUN
cana-2101	31	33	on	on	ADP
cana-2101	31	34	disease	disease	NOUN
cana-2101	31	35	spread	spread	VERB
cana-2101	31	36	.	.	PUNCT
cana-2101	32	1	these	these	DET
cana-2101	32	2	insights	insight	NOUN
cana-2101	32	3	into	into	ADP
cana-2101	32	4	the	the	DET
cana-2101	32	5	fundamental	fundamental	ADJ
cana-2101	32	6	mechanisms	mechanism	NOUN
cana-2101	32	7	driving	drive	VERB
cana-2101	32	8	infectious	infectious	ADJ
cana-2101	32	9	disease	disease	NOUN
cana-2101	32	10	dynamics	dynamic	NOUN
cana-2101	32	11	are	be	AUX
cana-2101	32	12	very	very	ADV
cana-2101	32	13	valuable	valuable	ADJ
cana-2101	32	14	.	.	PUNCT
cana-2101	33	1	the	the	DET
cana-2101	33	2	creation	creation	NOUN
cana-2101	33	3	of	of	ADP
cana-2101	33	4	more	more	ADV
cana-2101	33	5	effective	effective	ADJ
cana-2101	33	6	control	control	NOUN
cana-2101	33	7	techniques	technique	NOUN
cana-2101	33	8	and	and	CCONJ
cana-2101	33	9	a	a	DET
cana-2101	33	10	greater	great	ADJ
cana-2101	33	11	comprehension	comprehension	NOUN
cana-2101	33	12	of	of	ADP
cana-2101	33	13	disease	disease	NOUN
cana-2101	33	14	epidemiology	epidemiology	NOUN
cana-2101	33	15	are	be	AUX
cana-2101	33	16	both	both	PRON
cana-2101	33	17	aided	aid	VERB
cana-2101	33	18	by	by	ADP
cana-2101	33	19	these	these	DET
cana-2101	33	20	models	model	NOUN
cana-2101	33	21	'	'	PART
cana-2101	33	22	ability	ability	NOUN
cana-2101	33	23	to	to	PART
cana-2101	33	24	clarify	clarify	VERB
cana-2101	33	25	the	the	DET
cana-2101	33	26	intricate	intricate	ADJ
cana-2101	33	27	relationships	relationship	NOUN
cana-2101	33	28	between	between	ADP
cana-2101	33	29	host	host	NOUN
cana-2101	33	30	,	,	PUNCT
cana-2101	33	31	pathogen	pathogen	NOUN
cana-2101	33	32	,	,	PUNCT
cana-2101	33	33	and	and	CCONJ
cana-2101	33	34	environment	environment	NOUN
cana-2101	33	35	.	.	PUNCT
cana-2101	34	1	mathematical	mathematical	ADJ
cana-2101	34	2	modeling	modeling	NOUN
cana-2101	34	3	offers	offer	VERB
cana-2101	34	4	a	a	DET
cana-2101	34	5	range	range	NOUN
cana-2101	34	6	of	of	ADP
cana-2101	34	7	techniques	technique	NOUN
cana-2101	34	8	for	for	ADP
cana-2101	34	9	investigating	investigate	VERB
cana-2101	34	10	various	various	ADJ
cana-2101	34	11	aspects	aspect	NOUN
cana-2101	34	12	of	of	ADP
cana-2101	34	13	infectious	infectious	ADJ
cana-2101	34	14	disease	disease	NOUN
cana-2101	34	15	dynamics	dynamic	NOUN
cana-2101	34	16	and	and	CCONJ
cana-2101	34	17	control	control	NOUN
cana-2101	34	18	,	,	PUNCT
cana-2101	34	19	from	from	ADP
cana-2101	34	20	basic	basic	ADJ
cana-2101	34	21	compartmental	compartmental	ADJ
cana-2101	34	22	models	model	NOUN
cana-2101	34	23	,	,	PUNCT
cana-2101	34	24	such	such	DET
cana-2101	34	25	the	the	DET
cana-2101	34	26	susceptible	susceptible	ADJ
cana-2101	34	27	-	-	PUNCT
cana-2101	34	28	infectious	infectious	ADJ
cana-2101	34	29	-	-	PUNCT
cana-2101	34	30	recovered	recover	VERB
cana-2101	34	31	(	(	PUNCT
cana-2101	34	32	sir	sir	NOUN
cana-2101	34	33	)	)	PUNCT
cana-2101	34	34	framework	framework	NOUN
cana-2101	34	35	,	,	PUNCT
cana-2101	34	36	to	to	ADP
cana-2101	34	37	more	more	ADV
cana-2101	34	38	complex	complex	ADJ
cana-2101	34	39	agent	agent	NOUN
cana-2101	34	40	-	-	PUNCT
cana-2101	34	41	based	base	VERB
cana-2101	34	42	and	and	CCONJ
cana-2101	34	43	network	network	NOUN
cana-2101	34	44	models	model	NOUN
cana-2101	34	45	.	.	PUNCT
cana-2101	35	1	new	new	ADJ
cana-2101	35	2	infectious	infectious	ADJ
cana-2101	35	3	disease	disease	NOUN
cana-2101	35	4	outbreaks	outbreak	NOUN
cana-2101	35	5	,	,	PUNCT
cana-2101	35	6	like	like	ADP
cana-2101	35	7	the	the	DET
cana-2101	35	8	covid-19	covid-19	PROPN
cana-2101	35	9	pandemic	pandemic	NOUN
cana-2101	35	10	,	,	PUNCT
cana-2101	35	11	have	have	AUX
cana-2101	35	12	highlighted	highlight	VERB
cana-2101	35	13	the	the	DET
cana-2101	35	14	value	value	NOUN
cana-2101	35	15	of	of	ADP
cana-2101	35	16	mathematical	mathematical	ADJ
cana-2101	35	17	modeling	modeling	NOUN
cana-2101	35	18	in	in	ADP
cana-2101	35	19	epidemic	epidemic	ADJ
cana-2101	35	20	preparedness	preparedness	NOUN
cana-2101	35	21	and	and	CCONJ
cana-2101	35	22	response	response	NOUN
cana-2101	35	23	in	in	ADP
cana-2101	35	24	recent	recent	ADJ
cana-2101	35	25	years	year	NOUN
cana-2101	35	26	.	.	PUNCT
cana-2101	36	1	the	the	DET
cana-2101	36	2	forecasting	forecasting	NOUN
cana-2101	36	3	of	of	ADP
cana-2101	36	4	disease	disease	NOUN
cana-2101	36	5	spread	spread	NOUN
cana-2101	36	6	,	,	PUNCT
cana-2101	36	7	evaluation	evaluation	NOUN
cana-2101	36	8	of	of	ADP
cana-2101	36	9	the	the	DET
cana-2101	36	10	effects	effect	NOUN
cana-2101	36	11	of	of	ADP
cana-2101	36	12	measures	measure	NOUN
cana-2101	36	13	like	like	ADP
cana-2101	36	14	social	social	ADJ
cana-2101	36	15	distance	distance	NOUN
cana-2101	36	16	and	and	CCONJ
cana-2101	36	17	immunization	immunization	NOUN
cana-2101	36	18	,	,	PUNCT
cana-2101	36	19	and	and	CCONJ
cana-2101	36	20	provision	provision	NOUN
cana-2101	36	21	of	of	ADP
cana-2101	36	22	guidance	guidance	NOUN
cana-2101	36	23	for	for	ADP
cana-2101	36	24	policy	policy	NOUN
cana-2101	36	25	decisions	decision	NOUN
cana-2101	36	26	aimed	aim	VERB
cana-2101	36	27	at	at	ADP
cana-2101	36	28	halting	halt	VERB
cana-2101	36	29	transmission	transmission	NOUN
cana-2101	36	30	and	and	CCONJ
cana-2101	36	31	saving	save	VERB
cana-2101	36	32	lives	life	NOUN
cana-2101	36	33	were	be	AUX
cana-2101	36	34	all	all	PRON
cana-2101	36	35	greatly	greatly	ADV
cana-2101	36	36	aided	aid	VERB
cana-2101	36	37	by	by	ADP
cana-2101	36	38	mathematical	mathematical	ADJ
cana-2101	36	39	models	model	NOUN
cana-2101	36	40	.	.	PUNCT
cana-2101	37	1	researchers	researcher	NOUN
cana-2101	37	2	,	,	PUNCT
cana-2101	37	3	policymakers	policymaker	NOUN
cana-2101	37	4	,	,	PUNCT
cana-2101	37	5	and	and	CCONJ
cana-2101	37	6	public	public	ADJ
cana-2101	37	7	health	health	NOUN
cana-2101	37	8	practitioners	practitioner	NOUN
cana-2101	37	9	are	be	AUX
cana-2101	37	10	working	work	VERB
cana-2101	37	11	together	together	ADV
cana-2101	37	12	to	to	PART
cana-2101	37	13	improve	improve	VERB
cana-2101	37	14	data	datum	NOUN
cana-2101	37	15	quality	quality	NOUN
cana-2101	37	16	,	,	PUNCT
cana-2101	37	17	refine	refine	ADJ
cana-2101	37	18	models	model	NOUN
cana-2101	37	19	,	,	PUNCT
cana-2101	37	20	and	and	CCONJ
cana-2101	37	21	strengthen	strengthen	VERB
cana-2101	37	22	collaboration	collaboration	NOUN
cana-2101	37	23	as	as	ADP
cana-2101	37	24	a	a	DET
cana-2101	37	25	result	result	NOUN
cana-2101	37	26	of	of	ADP
cana-2101	37	27	the	the	DET
cana-2101	37	28	covid-19	covid-19	PROPN
cana-2101	37	29	pandemic	pandemic	NOUN
cana-2101	37	30	,	,	PUNCT
cana-2101	37	31	which	which	PRON
cana-2101	37	32	has	have	AUX
cana-2101	37	33	brought	bring	VERB
cana-2101	37	34	to	to	PART
cana-2101	37	35	light	light	VERB
cana-2101	37	36	both	both	CCONJ
cana-2101	37	37	the	the	DET
cana-2101	37	38	advantages	advantage	NOUN
cana-2101	37	39	and	and	CCONJ
cana-2101	37	40	disadvantages	disadvantage	NOUN
cana-2101	37	41	of	of	ADP
cana-2101	37	42	current	current	ADJ
cana-2101	37	43	modeling	modeling	NOUN
cana-2101	37	44	methodologies	methodology	NOUN
cana-2101	37	45	.	.	PUNCT
cana-2101	38	1	1.1	1.1	NUM
cana-2101	38	2	role	role	NOUN
cana-2101	38	3	of	of	ADP
cana-2101	38	4	mathematical	mathematical	ADJ
cana-2101	38	5	modeling	modeling	NOUN
cana-2101	38	6	mathematical	mathematical	ADJ
cana-2101	38	7	modeling	modeling	NOUN
cana-2101	38	8	plays	play	VERB
cana-2101	38	9	a	a	DET
cana-2101	38	10	crucial	crucial	ADJ
cana-2101	38	11	role	role	NOUN
cana-2101	38	12	in	in	ADP
cana-2101	38	13	the	the	DET
cana-2101	38	14	dynamics	dynamic	NOUN
cana-2101	38	15	of	of	ADP
cana-2101	38	16	infectious	infectious	ADJ
cana-2101	38	17	diseases	disease	NOUN
cana-2101	38	18	,	,	PUNCT
cana-2101	38	19	providing	provide	VERB
cana-2101	38	20	researchers	researcher	NOUN
cana-2101	38	21	with	with	ADP
cana-2101	38	22	an	an	DET
cana-2101	38	23	invaluable	invaluable	ADJ
cana-2101	38	24	tool	tool	NOUN
cana-2101	38	25	to	to	PART
cana-2101	38	26	examine	examine	VERB
cana-2101	38	27	complex	complex	ADJ
cana-2101	38	28	patterns	pattern	NOUN
cana-2101	38	29	of	of	ADP
cana-2101	38	30	transmission	transmission	NOUN
cana-2101	38	31	,	,	PUNCT
cana-2101	38	32	assess	assess	VERB
cana-2101	38	33	the	the	DET
cana-2101	38	34	efficacy	efficacy	NOUN
cana-2101	38	35	of	of	ADP
cana-2101	38	36	intervention	intervention	NOUN
cana-2101	38	37	efforts	effort	NOUN
cana-2101	38	38	,	,	PUNCT
cana-2101	38	39	and	and	CCONJ
cana-2101	38	40	formulate	formulate	VERB
cana-2101	38	41	public	public	ADJ
cana-2101	38	42	health	health	NOUN
cana-2101	38	43	policy	policy	NOUN
cana-2101	38	44	.	.	PUNCT
cana-2101	39	1	researchers	researcher	NOUN
cana-2101	39	2	may	may	AUX
cana-2101	39	3	replicate	replicate	VERB
cana-2101	39	4	the	the	DET
cana-2101	39	5	intricate	intricate	ADJ
cana-2101	39	6	interactions	interaction	NOUN
cana-2101	39	7	between	between	ADP
cana-2101	39	8	hosts	host	NOUN
cana-2101	39	9	,	,	PUNCT
cana-2101	39	10	infections	infection	NOUN
cana-2101	39	11	,	,	PUNCT
cana-2101	39	12	and	and	CCONJ
cana-2101	39	13	their	their	PRON
cana-2101	39	14	environment	environment	NOUN
cana-2101	39	15	using	use	VERB
cana-2101	39	16	mathematical	mathematical	ADJ
cana-2101	39	17	models	model	NOUN
cana-2101	39	18	,	,	PUNCT
cana-2101	39	19	which	which	PRON
cana-2101	39	20	provides	provide	VERB
cana-2101	39	21	important	important	ADJ
cana-2101	39	22	insights	insight	NOUN
cana-2101	39	23	into	into	ADP
cana-2101	39	24	the	the	DET
cana-2101	39	25	epidemiology	epidemiology	NOUN
cana-2101	39	26	of	of	ADP
cana-2101	39	27	diseases	disease	NOUN
cana-2101	39	28	.	.	PUNCT
cana-2101	40	1	these	these	DET
cana-2101	40	2	models	model	NOUN
cana-2101	40	3	help	help	VERB
cana-2101	40	4	build	build	VERB
cana-2101	40	5	evidence	evidence	NOUN
cana-2101	40	6	-	-	PUNCT
cana-2101	40	7	based	base	VERB
cana-2101	40	8	strategies	strategy	NOUN
cana-2101	40	9	for	for	ADP
cana-2101	40	10	disease	disease	NOUN
cana-2101	40	11	prevention	prevention	NOUN
cana-2101	40	12	and	and	CCONJ
cana-2101	40	13	control	control	NOUN
cana-2101	40	14	by	by	ADP
cana-2101	40	15	offering	offer	VERB
cana-2101	40	16	a	a	DET
cana-2101	40	17	platform	platform	NOUN
cana-2101	40	18	to	to	PART
cana-2101	40	19	investigate	investigate	VERB
cana-2101	40	20	different	different	ADJ
cana-2101	40	21	scenarios	scenario	NOUN
cana-2101	40	22	,	,	PUNCT
cana-2101	40	23	predict	predict	VERB
cana-2101	40	24	illness	illness	NOUN
cana-2101	40	25	trends	trend	NOUN
cana-2101	40	26	,	,	PUNCT
cana-2101	40	27	and	and	CCONJ
cana-2101	40	28	evaluate	evaluate	VERB
cana-2101	40	29	the	the	DET
cana-2101	40	30	possible	possible	ADJ
cana-2101	40	31	effects	effect	NOUN
cana-2101	40	32	of	of	ADP
cana-2101	40	33	control	control	NOUN
cana-2101	40	34	measures	measure	NOUN
cana-2101	40	35	.	.	PUNCT
cana-2101	41	1	mathematical	mathematical	ADJ
cana-2101	41	2	modeling	modeling	NOUN
cana-2101	41	3	is	be	AUX
cana-2101	41	4	crucial	crucial	ADJ
cana-2101	41	5	to	to	ADP
cana-2101	41	6	improving	improve	VERB
cana-2101	41	7	our	our	PRON
cana-2101	41	8	understanding	understanding	NOUN
cana-2101	41	9	of	of	ADP
cana-2101	41	10	infectious	infectious	ADJ
cana-2101	41	11	illnesses	illness	NOUN
cana-2101	41	12	and	and	CCONJ
cana-2101	41	13	directing	direct	VERB
cana-2101	41	14	efforts	effort	NOUN
cana-2101	41	15	to	to	PART
cana-2101	41	16	lessen	lessen	VERB
cana-2101	41	17	their	their	PRON
cana-2101	41	18	impact	impact	NOUN
cana-2101	41	19	on	on	ADP
cana-2101	41	20	public	public	ADJ
cana-2101	41	21	health	health	NOUN
cana-2101	41	22	because	because	SCONJ
cana-2101	41	23	it	it	PRON
cana-2101	41	24	bridges	bridge	VERB
cana-2101	41	25	the	the	DET
cana-2101	41	26	gap	gap	NOUN
cana-2101	41	27	between	between	ADP
cana-2101	41	28	theory	theory	NOUN
cana-2101	41	29	and	and	CCONJ
cana-2101	41	30	real	real	ADJ
cana-2101	41	31	-	-	PUNCT
cana-2101	41	32	world	world	NOUN
cana-2101	41	33	data	datum	NOUN
cana-2101	41	34	.	.	PUNCT
cana-2101	42	1	1.2	1.2	NUM
cana-2101	42	2	diverse	diverse	ADJ
cana-2101	42	3	modeling	modeling	NOUN
cana-2101	42	4	approaches	approach	VERB
cana-2101	42	5	a	a	DET
cana-2101	42	6	wide	wide	ADJ
cana-2101	42	7	range	range	NOUN
cana-2101	42	8	of	of	ADP
cana-2101	42	9	approaches	approach	NOUN
cana-2101	42	10	are	be	AUX
cana-2101	42	11	included	include	VERB
cana-2101	42	12	in	in	ADP
cana-2101	42	13	mathematical	mathematical	ADJ
cana-2101	42	14	modeling	modeling	NOUN
cana-2101	42	15	,	,	PUNCT
cana-2101	42	16	from	from	ADP
cana-2101	42	17	more	more	ADV
cana-2101	42	18	intricate	intricate	ADJ
cana-2101	42	19	agent	agent	NOUN
cana-2101	42	20	-	-	PUNCT
cana-2101	42	21	based	base	VERB
cana-2101	42	22	and	and	CCONJ
cana-2101	42	23	network	network	NOUN
cana-2101	42	24	models	model	NOUN
cana-2101	42	25	to	to	ADP
cana-2101	42	26	more	more	ADJ
cana-2101	42	27	conventional	conventional	ADJ
cana-2101	42	28	compartmental	compartmental	ADJ
cana-2101	42	29	models	model	NOUN
cana-2101	42	30	such	such	ADJ
cana-2101	42	31	as	as	ADP
cana-2101	42	32	the	the	DET
cana-2101	42	33	susceptible	susceptible	ADJ
cana-2101	42	34	-	-	PUNCT
cana-2101	42	35	infectiousrecovered	infectiousrecovered	ADJ
cana-2101	42	36	(	(	PUNCT
cana-2101	42	37	sir	sir	NOUN
cana-2101	42	38	)	)	PUNCT
cana-2101	42	39	framework	framework	NOUN
cana-2101	42	40	.	.	PUNCT
cana-2101	43	1	researchers	researcher	NOUN
cana-2101	43	2	can	can	AUX
cana-2101	43	3	address	address	VERB
cana-2101	43	4	different	different	ADJ
cana-2101	43	5	elements	element	NOUN
cana-2101	43	6	of	of	ADP
cana-2101	43	7	disease	disease	NOUN
cana-2101	43	8	transmission	transmission	NOUN
cana-2101	43	9	and	and	CCONJ
cana-2101	43	10	control	control	NOUN
cana-2101	43	11	by	by	ADP
cana-2101	43	12	utilizing	utilize	VERB
cana-2101	43	13	the	the	DET
cana-2101	43	14	distinct	distinct	ADJ
cana-2101	43	15	strengths	strength	NOUN
cana-2101	43	16	and	and	CCONJ
cana-2101	43	17	capabilities	capability	NOUN
cana-2101	43	18	that	that	PRON
cana-2101	43	19	each	each	DET
cana-2101	43	20	modeling	modeling	NOUN
cana-2101	43	21	approach	approach	NOUN
cana-2101	43	22	provides	provide	VERB
cana-2101	43	23	to	to	ADP
cana-2101	43	24	the	the	DET
cana-2101	43	25	study	study	NOUN
cana-2101	43	26	of	of	ADP
cana-2101	43	27	infectious	infectious	ADJ
cana-2101	43	28	disease	disease	NOUN
cana-2101	43	29	dynamics	dynamic	NOUN
cana-2101	43	30	.	.	PUNCT
cana-2101	44	1	compartmental	compartmental	ADJ
cana-2101	44	2	models	model	NOUN
cana-2101	44	3	,	,	PUNCT
cana-2101	44	4	like	like	ADP
cana-2101	44	5	sir	sir	NOUN
cana-2101	44	6	models	model	NOUN
cana-2101	44	7	,	,	PUNCT
cana-2101	44	8	are	be	AUX
cana-2101	44	9	helpful	helpful	ADJ
cana-2101	44	10	for	for	ADP
cana-2101	44	11	analyzing	analyze	VERB
cana-2101	44	12	population	population	NOUN
cana-2101	44	13	-	-	PUNCT
cana-2101	44	14	level	level	NOUN
cana-2101	44	15	interventions	intervention	NOUN
cana-2101	44	16	and	and	CCONJ
cana-2101	44	17	comprehending	comprehending	ADJ
cana-2101	44	18	general	general	ADJ
cana-2101	44	19	patterns	pattern	NOUN
cana-2101	44	20	of	of	ADP
cana-2101	44	21	transmission	transmission	NOUN
cana-2101	44	22	because	because	SCONJ
cana-2101	44	23	they	they	PRON
cana-2101	44	24	offer	offer	VERB
cana-2101	44	25	a	a	DET
cana-2101	44	26	condensed	condense	VERB
cana-2101	44	27	picture	picture	NOUN
cana-2101	44	28	of	of	ADP
cana-2101	44	29	disease	disease	NOUN
cana-2101	44	30	dynamics	dynamic	NOUN
cana-2101	44	31	.	.	PUNCT
cana-2101	45	1	agent	agent	NOUN
cana-2101	45	2	-	-	PUNCT
cana-2101	45	3	based	base	VERB
cana-2101	45	4	models	model	NOUN
cana-2101	45	5	,	,	PUNCT
cana-2101	45	6	on	on	ADP
cana-2101	45	7	the	the	DET
cana-2101	45	8	other	other	ADJ
cana-2101	45	9	hand	hand	NOUN
cana-2101	45	10	,	,	PUNCT
cana-2101	45	11	replicate	replicate	VERB
cana-2101	45	12	individual	individual	ADJ
cana-2101	45	13	interactions	interaction	NOUN
cana-2101	45	14	within	within	ADP
cana-2101	45	15	populations	population	NOUN
cana-2101	45	16	and	and	CCONJ
cana-2101	45	17	capture	capture	VERB
cana-2101	45	18	heterogeneity	heterogeneity	NOUN
cana-2101	45	19	and	and	CCONJ
cana-2101	45	20	spatial	spatial	ADJ
cana-2101	45	21	dynamics	dynamic	NOUN
cana-2101	45	22	,	,	PUNCT
cana-2101	45	23	providing	provide	VERB
cana-2101	45	24	information	information	NOUN
cana-2101	45	25	about	about	ADP
cana-2101	45	26	the	the	DET
cana-2101	45	27	spread	spread	NOUN
cana-2101	45	28	of	of	ADP
cana-2101	45	29	disease	disease	NOUN
cana-2101	45	30	locally	locally	ADV
cana-2101	45	31	and	and	CCONJ
cana-2101	45	32	the	the	DET
cana-2101	45	33	best	good	ADJ
cana-2101	45	34	ways	way	NOUN
cana-2101	45	35	to	to	PART
cana-2101	45	36	intervene	intervene	VERB
cana-2101	45	37	.	.	PUNCT
cana-2101	46	1	conversely	conversely	ADV
cana-2101	46	2	,	,	PUNCT
cana-2101	46	3	network	network	NOUN
cana-2101	46	4	communications	communication	NOUN
cana-2101	46	5	on	on	ADP
cana-2101	46	6	applied	apply	VERB
cana-2101	46	7	nonlinear	nonlinear	ADJ
cana-2101	46	8	analysis	analysis	NOUN
cana-2101	46	9	issn	issn	NOUN
cana-2101	46	10	:	:	PUNCT
cana-2101	46	11	1074	1074	NUM
cana-2101	46	12	-	-	PUNCT
cana-2101	46	13	133x	133x	NUM
cana-2101	46	14	vol	vol	NOUN
cana-2101	46	15	32	32	NUM
cana-2101	46	16	no	no	NOUN
cana-2101	46	17	.	.	PUNCT
cana-2101	47	1	1s	1s	NUM
cana-2101	47	2	(	(	PUNCT
cana-2101	47	3	2025	2025	NUM
cana-2101	47	4	)	)	PUNCT
cana-2101	47	5	56	56	NUM
cana-2101	47	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-2101	47	7	models	model	NOUN
cana-2101	47	8	investigate	investigate	VERB
cana-2101	47	9	how	how	SCONJ
cana-2101	47	10	illness	illness	NOUN
cana-2101	47	11	transmission	transmission	NOUN
cana-2101	47	12	and	and	CCONJ
cana-2101	47	13	control	control	NOUN
cana-2101	47	14	strategies	strategy	NOUN
cana-2101	47	15	are	be	AUX
cana-2101	47	16	influenced	influence	VERB
cana-2101	47	17	by	by	ADP
cana-2101	47	18	the	the	DET
cana-2101	47	19	topology	topology	NOUN
cana-2101	47	20	of	of	ADP
cana-2101	47	21	social	social	ADJ
cana-2101	47	22	or	or	CCONJ
cana-2101	47	23	contact	contact	NOUN
cana-2101	47	24	networks	network	NOUN
cana-2101	47	25	.	.	PUNCT
cana-2101	48	1	2.review	2.review	NUM
cana-2101	48	2	of	of	ADP
cana-2101	48	3	litreature	litreature	NOUN
cana-2101	48	4	anirudh	anirudh	NOUN
cana-2101	48	5	et	et	NOUN
cana-2101	48	6	al	al	PROPN
cana-2101	48	7	.	.	PROPN
cana-2101	48	8	(	(	PUNCT
cana-2101	48	9	2020	2020	NUM
cana-2101	48	10	)	)	PUNCT
cana-2101	48	11	gives	give	VERB
cana-2101	48	12	a	a	DET
cana-2101	48	13	thorough	thorough	ADJ
cana-2101	48	14	analysis	analysis	NOUN
cana-2101	48	15	of	of	ADP
cana-2101	48	16	the	the	DET
cana-2101	48	17	function	function	NOUN
cana-2101	48	18	that	that	PRON
cana-2101	48	19	mathematical	mathematical	ADJ
cana-2101	48	20	modeling	modeling	NOUN
cana-2101	48	21	plays	play	NOUN
cana-2101	48	22	in	in	ADP
cana-2101	48	23	anticipating	anticipate	VERB
cana-2101	48	24	and	and	CCONJ
cana-2101	48	25	reducing	reduce	VERB
cana-2101	48	26	the	the	DET
cana-2101	48	27	spread	spread	NOUN
cana-2101	48	28	of	of	ADP
cana-2101	48	29	covid-19	covid-19	PROPN
cana-2101	48	30	.	.	PUNCT
cana-2101	49	1	the	the	DET
cana-2101	49	2	significance	significance	NOUN
cana-2101	49	3	of	of	ADP
cana-2101	49	4	transmission	transmission	NOUN
cana-2101	49	5	dynamics	dynamic	NOUN
cana-2101	49	6	in	in	ADP
cana-2101	49	7	guiding	guide	VERB
cana-2101	49	8	public	public	ADJ
cana-2101	49	9	health	health	NOUN
cana-2101	49	10	measures	measure	NOUN
cana-2101	49	11	is	be	AUX
cana-2101	49	12	emphasized	emphasize	VERB
cana-2101	49	13	by	by	ADP
cana-2101	49	14	their	their	PRON
cana-2101	49	15	study	study	NOUN
cana-2101	49	16	.	.	PUNCT
cana-2101	50	1	anirudh	anirudh	VERB
cana-2101	50	2	et	et	PROPN
cana-2101	50	3	al	al	PROPN
cana-2101	50	4	.	.	PROPN
cana-2101	50	5	used	use	VERB
cana-2101	50	6	mathematical	mathematical	ADJ
cana-2101	50	7	models	model	NOUN
cana-2101	50	8	to	to	PART
cana-2101	50	9	provide	provide	VERB
cana-2101	50	10	light	light	NOUN
cana-2101	50	11	on	on	ADP
cana-2101	50	12	possible	possible	ADJ
cana-2101	50	13	pandemic	pandemic	ADJ
cana-2101	50	14	trajectories	trajectory	NOUN
cana-2101	50	15	,	,	PUNCT
cana-2101	50	16	providing	provide	VERB
cana-2101	50	17	insightful	insightful	ADJ
cana-2101	50	18	information	information	NOUN
cana-2101	50	19	for	for	ADP
cana-2101	50	20	both	both	PRON
cana-2101	50	21	policymakers	policymaker	NOUN
cana-2101	50	22	and	and	CCONJ
cana-2101	50	23	medical	medical	ADJ
cana-2101	50	24	experts	expert	NOUN
cana-2101	50	25	.	.	PUNCT
cana-2101	51	1	asamoah	asamoah	NOUN
cana-2101	51	2	et	et	PROPN
cana-2101	51	3	al	al	PROPN
cana-2101	51	4	.	.	PROPN
cana-2101	52	1	(	(	PUNCT
cana-2101	52	2	2018	2018	NUM
cana-2101	52	3	)	)	PUNCT
cana-2101	52	4	concentrate	concentrate	VERB
cana-2101	52	5	on	on	ADP
cana-2101	52	6	the	the	DET
cana-2101	52	7	dynamics	dynamic	NOUN
cana-2101	52	8	of	of	ADP
cana-2101	52	9	bacterial	bacterial	ADJ
cana-2101	52	10	meningitis	meningitis	NOUN
cana-2101	52	11	transmission	transmission	NOUN
cana-2101	52	12	,	,	PUNCT
cana-2101	52	13	use	use	VERB
cana-2101	52	14	mathematical	mathematical	ADJ
cana-2101	52	15	modeling	modeling	NOUN
cana-2101	52	16	to	to	PART
cana-2101	52	17	investigate	investigate	VERB
cana-2101	52	18	the	the	DET
cana-2101	52	19	effects	effect	NOUN
cana-2101	52	20	of	of	ADP
cana-2101	52	21	different	different	ADJ
cana-2101	52	22	control	control	NOUN
cana-2101	52	23	strategies	strategy	NOUN
cana-2101	52	24	.	.	PUNCT
cana-2101	53	1	their	their	PRON
cana-2101	53	2	research	research	NOUN
cana-2101	53	3	emphasizes	emphasize	VERB
cana-2101	53	4	how	how	SCONJ
cana-2101	53	5	important	important	ADJ
cana-2101	53	6	it	it	PRON
cana-2101	53	7	is	be	AUX
cana-2101	53	8	to	to	PART
cana-2101	53	9	use	use	VERB
cana-2101	53	10	proactive	proactive	ADJ
cana-2101	53	11	intervention	intervention	NOUN
cana-2101	53	12	techniques	technique	NOUN
cana-2101	53	13	to	to	PART
cana-2101	53	14	stop	stop	VERB
cana-2101	53	15	the	the	DET
cana-2101	53	16	spread	spread	NOUN
cana-2101	53	17	of	of	ADP
cana-2101	53	18	illness	illness	NOUN
cana-2101	53	19	.	.	PUNCT
cana-2101	54	1	asamoah	asamoah	NOUN
cana-2101	54	2	et	et	PROPN
cana-2101	54	3	al	al	PROPN
cana-2101	54	4	.	.	PROPN
cana-2101	55	1	show	show	VERB
cana-2101	55	2	the	the	DET
cana-2101	55	3	potential	potential	ADJ
cana-2101	55	4	efficacy	efficacy	NOUN
cana-2101	55	5	of	of	ADP
cana-2101	55	6	focused	focused	ADJ
cana-2101	55	7	control	control	NOUN
cana-2101	55	8	measures	measure	NOUN
cana-2101	55	9	through	through	ADP
cana-2101	55	10	their	their	PRON
cana-2101	55	11	models	model	NOUN
cana-2101	55	12	,	,	PUNCT
cana-2101	55	13	offering	offer	VERB
cana-2101	55	14	important	important	ADJ
cana-2101	55	15	direction	direction	NOUN
cana-2101	55	16	for	for	ADP
cana-2101	55	17	public	public	ADJ
cana-2101	55	18	health	health	NOUN
cana-2101	55	19	activities	activity	NOUN
cana-2101	55	20	.	.	PUNCT
cana-2101	56	1	lastly	lastly	ADV
cana-2101	56	2	,	,	PUNCT
cana-2101	56	3	bekiros	bekiro	NOUN
cana-2101	56	4	and	and	CCONJ
cana-2101	56	5	kouloumpou	kouloumpou	NOUN
cana-2101	56	6	(	(	PUNCT
cana-2101	56	7	2020	2020	NUM
cana-2101	56	8	)	)	PUNCT
cana-2101	56	9	present	present	ADJ
cana-2101	56	10	sbdiem	sbdiem	NOUN
cana-2101	56	11	,	,	PUNCT
cana-2101	56	12	a	a	DET
cana-2101	56	13	novel	novel	ADJ
cana-2101	56	14	mathematical	mathematical	ADJ
cana-2101	56	15	model	model	NOUN
cana-2101	56	16	designed	design	VERB
cana-2101	56	17	to	to	PART
cana-2101	56	18	comprehend	comprehend	VERB
cana-2101	56	19	the	the	DET
cana-2101	56	20	dynamics	dynamic	NOUN
cana-2101	56	21	of	of	ADP
cana-2101	56	22	infectious	infectious	ADJ
cana-2101	56	23	diseases	disease	NOUN
cana-2101	56	24	.	.	PUNCT
cana-2101	57	1	their	their	PRON
cana-2101	57	2	research	research	NOUN
cana-2101	57	3	incorporates	incorporate	VERB
cana-2101	57	4	aspects	aspect	NOUN
cana-2101	57	5	of	of	ADP
cana-2101	57	6	the	the	DET
cana-2101	57	7	complexity	complexity	NOUN
cana-2101	57	8	and	and	CCONJ
cana-2101	57	9	unpredictability	unpredictability	NOUN
cana-2101	57	10	present	present	ADJ
cana-2101	57	11	in	in	ADP
cana-2101	57	12	real	real	ADJ
cana-2101	57	13	-	-	PUNCT
cana-2101	57	14	world	world	NOUN
cana-2101	57	15	disease	disease	NOUN
cana-2101	57	16	processes	process	NOUN
cana-2101	57	17	,	,	PUNCT
cana-2101	57	18	providing	provide	VERB
cana-2101	57	19	a	a	DET
cana-2101	57	20	novel	novel	ADJ
cana-2101	57	21	viewpoint	viewpoint	NOUN
cana-2101	57	22	on	on	ADP
cana-2101	57	23	modeling	modeling	NOUN
cana-2101	57	24	methodologies	methodology	NOUN
cana-2101	57	25	.	.	PUNCT
cana-2101	58	1	bekiros	bekiro	NOUN
cana-2101	58	2	and	and	CCONJ
cana-2101	58	3	kouloumpou	kouloumpou	PROPN
cana-2101	58	4	's	's	PART
cana-2101	58	5	model	model	NOUN
cana-2101	58	6	,	,	PUNCT
cana-2101	58	7	which	which	PRON
cana-2101	58	8	incorporates	incorporate	VERB
cana-2101	58	9	stochasticity	stochasticity	NOUN
cana-2101	58	10	and	and	CCONJ
cana-2101	58	11	network	network	NOUN
cana-2101	58	12	structures	structure	NOUN
cana-2101	58	13	,	,	PUNCT
cana-2101	58	14	enhances	enhance	VERB
cana-2101	58	15	our	our	PRON
cana-2101	58	16	comprehension	comprehension	NOUN
cana-2101	58	17	of	of	ADP
cana-2101	58	18	the	the	DET
cana-2101	58	19	transmission	transmission	NOUN
cana-2101	58	20	of	of	ADP
cana-2101	58	21	infectious	infectious	ADJ
cana-2101	58	22	diseases	disease	NOUN
cana-2101	58	23	and	and	CCONJ
cana-2101	58	24	opens	open	VERB
cana-2101	58	25	the	the	DET
cana-2101	58	26	door	door	NOUN
cana-2101	58	27	to	to	ADP
cana-2101	58	28	more	more	ADV
cana-2101	58	29	complex	complex	ADJ
cana-2101	58	30	control	control	NOUN
cana-2101	58	31	tactics	tactic	NOUN
cana-2101	58	32	.	.	PUNCT
cana-2101	59	1	berge	berge	NOUN
cana-2101	59	2	et	et	PROPN
cana-2101	59	3	al	al	PROPN
cana-2101	59	4	.	.	PROPN
cana-2101	60	1	(	(	PUNCT
cana-2101	60	2	2018	2018	NUM
cana-2101	60	3	)	)	PUNCT
cana-2101	60	4	provide	provide	VERB
cana-2101	60	5	a	a	DET
cana-2101	60	6	thorough	thorough	ADJ
cana-2101	60	7	analysis	analysis	NOUN
cana-2101	60	8	of	of	ADP
cana-2101	60	9	contact	contact	NOUN
cana-2101	60	10	tracing	trace	VERB
cana-2101	60	11	as	as	ADP
cana-2101	60	12	an	an	DET
cana-2101	60	13	ebola	ebola	NOUN
cana-2101	60	14	virus	virus	NOUN
cana-2101	60	15	disease	disease	NOUN
cana-2101	60	16	(	(	PUNCT
cana-2101	60	17	evd	evd	NOUN
cana-2101	60	18	)	)	PUNCT
cana-2101	60	19	control	control	NOUN
cana-2101	60	20	method	method	NOUN
cana-2101	60	21	.	.	PUNCT
cana-2101	61	1	the	the	DET
cana-2101	61	2	authors	author	NOUN
cana-2101	61	3	investigate	investigate	VERB
cana-2101	61	4	the	the	DET
cana-2101	61	5	efficacy	efficacy	NOUN
cana-2101	61	6	of	of	ADP
cana-2101	61	7	contact	contact	NOUN
cana-2101	61	8	tracing	trace	VERB
cana-2101	61	9	in	in	ADP
cana-2101	61	10	limiting	limit	VERB
cana-2101	61	11	epidemics	epidemic	NOUN
cana-2101	61	12	of	of	ADP
cana-2101	61	13	evd	evd	NOUN
cana-2101	61	14	by	by	ADP
cana-2101	61	15	mathematical	mathematical	ADJ
cana-2101	61	16	modeling	modeling	NOUN
cana-2101	61	17	.	.	PUNCT
cana-2101	62	1	their	their	PRON
cana-2101	62	2	research	research	NOUN
cana-2101	62	3	emphasizes	emphasize	VERB
cana-2101	62	4	how	how	SCONJ
cana-2101	62	5	crucial	crucial	ADJ
cana-2101	62	6	prompt	prompt	ADJ
cana-2101	62	7	and	and	CCONJ
cana-2101	62	8	comprehensive	comprehensive	ADJ
cana-2101	62	9	contact	contact	NOUN
cana-2101	62	10	tracking	tracking	NOUN
cana-2101	62	11	is	be	AUX
cana-2101	62	12	to	to	ADP
cana-2101	62	13	reducing	reduce	VERB
cana-2101	62	14	the	the	DET
cana-2101	62	15	spread	spread	NOUN
cana-2101	62	16	of	of	ADP
cana-2101	62	17	illness	illness	NOUN
cana-2101	62	18	.	.	PUNCT
cana-2101	63	1	for	for	ADP
cana-2101	63	2	public	public	ADJ
cana-2101	63	3	health	health	NOUN
cana-2101	63	4	professionals	professional	NOUN
cana-2101	63	5	and	and	CCONJ
cana-2101	63	6	politicians	politician	NOUN
cana-2101	63	7	charged	charge	VERB
cana-2101	63	8	with	with	ADP
cana-2101	63	9	evd	evd	PROPN
cana-2101	63	10	control	control	NOUN
cana-2101	63	11	efforts	effort	NOUN
cana-2101	63	12	,	,	PUNCT
cana-2101	63	13	berge	berge	PROPN
cana-2101	63	14	et	et	PROPN
cana-2101	63	15	al	al	PROPN
cana-2101	63	16	.	.	PROPN
cana-2101	63	17	offer	offer	VERB
cana-2101	63	18	invaluable	invaluable	ADJ
cana-2101	63	19	insights	insight	NOUN
cana-2101	63	20	by	by	ADP
cana-2101	63	21	quantifying	quantify	VERB
cana-2101	63	22	the	the	DET
cana-2101	63	23	influence	influence	NOUN
cana-2101	63	24	of	of	ADP
cana-2101	63	25	numerous	numerous	ADJ
cana-2101	63	26	parameters	parameter	NOUN
cana-2101	63	27	,	,	PUNCT
cana-2101	63	28	such	such	ADJ
cana-2101	63	29	as	as	ADP
cana-2101	63	30	contact	contact	NOUN
cana-2101	63	31	tracking	tracking	NOUN
cana-2101	63	32	efficiency	efficiency	NOUN
cana-2101	63	33	and	and	CCONJ
cana-2101	63	34	intervention	intervention	NOUN
cana-2101	63	35	timing	timing	NOUN
cana-2101	63	36	.	.	PUNCT
cana-2101	64	1	(	(	PUNCT
cana-2101	64	2	brauer	brauer	PROPN
cana-2101	64	3	et	et	PROPN
cana-2101	64	4	al	al	PROPN
cana-2101	64	5	.	.	PROPN
cana-2101	64	6	,	,	PUNCT
cana-2101	64	7	2019	2019	NUM
cana-2101	64	8	)	)	PUNCT
cana-2101	64	9	,	,	PUNCT
cana-2101	64	10	the	the	DET
cana-2101	64	11	writers	writer	NOUN
cana-2101	64	12	provide	provide	VERB
cana-2101	64	13	a	a	DET
cana-2101	64	14	thorough	thorough	ADJ
cana-2101	64	15	rundown	rundown	NOUN
cana-2101	64	16	of	of	ADP
cana-2101	64	17	the	the	DET
cana-2101	64	18	mathematical	mathematical	ADJ
cana-2101	64	19	modeling	modeling	NOUN
cana-2101	64	20	methods	method	NOUN
cana-2101	64	21	used	use	VERB
cana-2101	64	22	in	in	ADP
cana-2101	64	23	epidemiological	epidemiological	ADJ
cana-2101	64	24	studies	study	NOUN
cana-2101	64	25	.	.	PUNCT
cana-2101	65	1	this	this	DET
cana-2101	65	2	landmark	landmark	NOUN
cana-2101	65	3	study	study	NOUN
cana-2101	65	4	is	be	AUX
cana-2101	65	5	an	an	DET
cana-2101	65	6	invaluable	invaluable	ADJ
cana-2101	65	7	tool	tool	NOUN
cana-2101	65	8	for	for	ADP
cana-2101	65	9	beginning	begin	VERB
cana-2101	65	10	and	and	CCONJ
cana-2101	65	11	experienced	experienced	ADJ
cana-2101	65	12	scholars	scholar	NOUN
cana-2101	65	13	alike	alike	ADV
cana-2101	65	14	in	in	ADP
cana-2101	65	15	the	the	DET
cana-2101	65	16	subject	subject	NOUN
cana-2101	65	17	.	.	PUNCT
cana-2101	66	1	a	a	DET
cana-2101	66	2	wide	wide	ADJ
cana-2101	66	3	range	range	NOUN
cana-2101	66	4	of	of	ADP
cana-2101	66	5	subjects	subject	NOUN
cana-2101	66	6	are	be	AUX
cana-2101	66	7	covered	cover	VERB
cana-2101	66	8	by	by	ADP
cana-2101	66	9	brauer	brauer	PROPN
cana-2101	66	10	et	et	PROPN
cana-2101	66	11	al	al	PROPN
cana-2101	66	12	.	.	PROPN
cana-2101	66	13	,	,	PUNCT
cana-2101	66	14	such	such	ADJ
cana-2101	66	15	as	as	ADP
cana-2101	66	16	evolutionary	evolutionary	ADJ
cana-2101	66	17	dynamics	dynamic	NOUN
cana-2101	66	18	,	,	PUNCT
cana-2101	66	19	spatial	spatial	ADJ
cana-2101	66	20	epidemiology	epidemiology	NOUN
cana-2101	66	21	,	,	PUNCT
cana-2101	66	22	and	and	CCONJ
cana-2101	66	23	compartmental	compartmental	ADJ
cana-2101	66	24	models	model	NOUN
cana-2101	66	25	.	.	PUNCT
cana-2101	67	1	the	the	DET
cana-2101	67	2	authors	author	NOUN
cana-2101	67	3	clarify	clarify	VERB
cana-2101	67	4	the	the	DET
cana-2101	67	5	use	use	NOUN
cana-2101	67	6	of	of	ADP
cana-2101	67	7	mathematical	mathematical	ADJ
cana-2101	67	8	models	model	NOUN
cana-2101	67	9	in	in	ADP
cana-2101	67	10	comprehending	comprehending	ADJ
cana-2101	67	11	illness	illness	NOUN
cana-2101	67	12	transmission	transmission	NOUN
cana-2101	67	13	dynamics	dynamic	NOUN
cana-2101	67	14	and	and	CCONJ
cana-2101	67	15	assessing	assess	VERB
cana-2101	67	16	intervention	intervention	NOUN
cana-2101	67	17	options	option	NOUN
cana-2101	67	18	through	through	ADP
cana-2101	67	19	case	case	NOUN
cana-2101	67	20	studies	study	NOUN
cana-2101	67	21	and	and	CCONJ
cana-2101	67	22	instructive	instructive	ADJ
cana-2101	67	23	examples	example	NOUN
cana-2101	67	24	.	.	PUNCT
cana-2101	68	1	because	because	SCONJ
cana-2101	68	2	of	of	ADP
cana-2101	68	3	its	its	PRON
cana-2101	68	4	multidisciplinary	multidisciplinary	ADJ
cana-2101	68	5	approach	approach	NOUN
cana-2101	68	6	,	,	PUNCT
cana-2101	68	7	which	which	PRON
cana-2101	68	8	connects	connect	VERB
cana-2101	68	9	mathematical	mathematical	ADJ
cana-2101	68	10	theory	theory	NOUN
cana-2101	68	11	with	with	ADP
cana-2101	68	12	epidemiological	epidemiological	ADJ
cana-2101	68	13	applications	application	NOUN
cana-2101	68	14	,	,	PUNCT
cana-2101	68	15	the	the	DET
cana-2101	68	16	book	book	NOUN
cana-2101	68	17	is	be	AUX
cana-2101	68	18	a	a	DET
cana-2101	68	19	vital	vital	ADJ
cana-2101	68	20	resource	resource	NOUN
cana-2101	68	21	for	for	ADP
cana-2101	68	22	both	both	DET
cana-2101	68	23	practitioners	practitioner	NOUN
cana-2101	68	24	and	and	CCONJ
cana-2101	68	25	researchers	researcher	NOUN
cana-2101	68	26	.	.	PUNCT
cana-2101	69	1	3	3	X
cana-2101	69	2	.	.	X
cana-2101	69	3	mathematical	mathematical	ADJ
cana-2101	69	4	modeling	modeling	NOUN
cana-2101	69	5	methodologies	methodology	NOUN
cana-2101	69	6	in	in	ADP
cana-2101	69	7	epidemiology	epidemiology	NOUN
cana-2101	69	8	quick	quick	ADJ
cana-2101	69	9	evaluation	evaluation	NOUN
cana-2101	69	10	is	be	AUX
cana-2101	69	11	possible	possible	ADJ
cana-2101	69	12	with	with	ADP
cana-2101	69	13	mathematical	mathematical	ADJ
cana-2101	69	14	modeling	modeling	NOUN
cana-2101	69	15	and	and	CCONJ
cana-2101	69	16	simulation	simulation	NOUN
cana-2101	69	17	.	.	PUNCT
cana-2101	70	1	when	when	SCONJ
cana-2101	70	2	there	there	PRON
cana-2101	70	3	are	be	VERB
cana-2101	70	4	a	a	DET
cana-2101	70	5	lot	lot	NOUN
cana-2101	70	6	of	of	ADP
cana-2101	70	7	experimental	experimental	ADJ
cana-2101	70	8	settings	setting	NOUN
cana-2101	70	9	to	to	PART
cana-2101	70	10	test	test	VERB
cana-2101	70	11	or	or	CCONJ
cana-2101	70	12	when	when	SCONJ
cana-2101	70	13	data	datum	NOUN
cana-2101	70	14	collection	collection	NOUN
cana-2101	70	15	is	be	AUX
cana-2101	70	16	unaffordable	unaffordable	ADJ
cana-2101	70	17	,	,	PUNCT
cana-2101	70	18	simulation	simulation	NOUN
cana-2101	70	19	is	be	AUX
cana-2101	70	20	frequently	frequently	ADV
cana-2101	70	21	utilized	utilize	VERB
cana-2101	70	22	.	.	PUNCT
cana-2101	71	1	various	various	ADJ
cana-2101	71	2	techniques	technique	NOUN
cana-2101	71	3	have	have	AUX
cana-2101	71	4	been	be	AUX
cana-2101	71	5	invested	invest	VERB
cana-2101	71	6	over	over	ADP
cana-2101	71	7	effort	effort	NOUN
cana-2101	71	8	,	,	PUNCT
cana-2101	71	9	each	each	PRON
cana-2101	71	10	resolving	resolve	VERB
cana-2101	71	11	the	the	DET
cana-2101	71	12	issue	issue	NOUN
cana-2101	71	13	from	from	ADP
cana-2101	71	14	an	an	DET
cana-2101	71	15	alternate	alternate	ADJ
cana-2101	71	16	point	point	NOUN
cana-2101	71	17	.	.	PUNCT
cana-2101	72	1	these	these	PRON
cana-2101	72	2	fall	fall	VERB
cana-2101	72	3	into	into	ADP
cana-2101	72	4	three	three	NUM
cana-2101	72	5	general	general	ADJ
cana-2101	72	6	classes	class	NOUN
cana-2101	72	7	(	(	PUNCT
cana-2101	72	8	see	see	VERB
cana-2101	72	9	fig	fig	NOUN
cana-2101	72	10	.	.	PUNCT
cana-2101	73	1	1	1	NUM
cana-2101	73	2	):	):	PUNCT
cana-2101	73	3	(	(	PUNCT
cana-2101	73	4	1	1	X
cana-2101	73	5	)	)	PUNCT
cana-2101	73	6	measurable	measurable	ADJ
cana-2101	73	7	procedures	procedure	NOUN
cana-2101	73	8	for	for	ADP
cana-2101	73	9	following	follow	VERB
cana-2101	73	10	episodes	episode	NOUN
cana-2101	73	11	and	and	CCONJ
cana-2101	73	12	recognizing	recognize	VERB
cana-2101	73	13	spatial	spatial	ADJ
cana-2101	73	14	examples	example	NOUN
cana-2101	73	15	in	in	ADP
cana-2101	73	16	genuine	genuine	ADJ
cana-2101	73	17	pandemics	pandemic	NOUN
cana-2101	73	18	;	;	PUNCT
cana-2101	73	19	(	(	PUNCT
cana-2101	73	20	2	2	X
cana-2101	73	21	)	)	PUNCT
cana-2101	73	22	numerical	numerical	ADJ
cana-2101	73	23	models	model	NOUN
cana-2101	73	24	implanted	implant	VERB
cana-2101	73	25	in	in	ADP
cana-2101	73	26	dynamical	dynamical	ADJ
cana-2101	73	27	frameworks	framework	NOUN
cana-2101	73	28	(	(	PUNCT
cana-2101	73	29	otherwise	otherwise	ADV
cana-2101	73	30	called	call	VERB
cana-2101	73	31	state	state	NOUN
cana-2101	73	32	-	-	PUNCT
cana-2101	73	33	space	space	NOUN
cana-2101	73	34	models	model	NOUN
cana-2101	73	35	)	)	PUNCT
cana-2101	73	36	that	that	PRON
cana-2101	73	37	anticipate	anticipate	VERB
cana-2101	73	38	the	the	DET
cana-2101	73	39	course	course	NOUN
cana-2101	73	40	of	of	ADP
cana-2101	73	41	a	a	DET
cana-2101	73	42	"	"	PUNCT
cana-2101	73	43	speculative	speculative	ADJ
cana-2101	73	44	"	"	PUNCT
cana-2101	73	45	or	or	CCONJ
cana-2101	73	46	continuous	continuous	ADJ
cana-2101	73	47	scourge	scourge	NOUN
cana-2101	73	48	;	;	PUNCT
cana-2101	73	49	and	and	CCONJ
cana-2101	73	50	(	(	PUNCT
cana-2101	73	51	3	3	X
cana-2101	73	52	)	)	PUNCT
cana-2101	73	53	ai	ai	NOUN
cana-2101	73	54	/	/	SYM
cana-2101	73	55	master	master	NOUN
cana-2101	73	56	strategies	strategy	NOUN
cana-2101	73	57	for	for	ADP
cana-2101	73	58	anticipating	anticipate	VERB
cana-2101	73	59	the	the	DET
cana-2101	73	60	course	course	NOUN
cana-2101	73	61	of	of	ADP
cana-2101	73	62	a	a	DET
cana-2101	73	63	continuous	continuous	ADJ
cana-2101	73	64	pestilence	pestilence	NOUN
cana-2101	73	65	.	.	PUNCT
cana-2101	74	1	there	there	PRON
cana-2101	74	2	are	be	VERB
cana-2101	74	3	different	different	ADJ
cana-2101	74	4	ways	way	NOUN
cana-2101	74	5	used	use	VERB
cana-2101	74	6	to	to	PART
cana-2101	74	7	wind	wind	VERB
cana-2101	74	8	around	around	ADP
cana-2101	74	9	an	an	DET
cana-2101	74	10	immense	immense	ADJ
cana-2101	74	11	and	and	CCONJ
cana-2101	74	12	shifted	shift	VERB
cana-2101	74	13	collection	collection	NOUN
cana-2101	74	14	of	of	ADP
cana-2101	74	15	writing	writing	NOUN
cana-2101	74	16	for	for	ADP
cana-2101	74	17	every	every	DET
cana-2101	74	18	one	one	NUM
cana-2101	74	19	of	of	ADP
cana-2101	74	20	these	these	DET
cana-2101	74	21	three	three	NUM
cana-2101	74	22	gatherings	gathering	NOUN
cana-2101	74	23	.	.	PUNCT
cana-2101	75	1	here	here	ADV
cana-2101	75	2	,	,	PUNCT
cana-2101	75	3	we	we	PRON
cana-2101	75	4	endeavor	endeavor	VERB
cana-2101	75	5	to	to	PART
cana-2101	75	6	delineate	delineate	VERB
cana-2101	75	7	these	these	DET
cana-2101	75	8	procedures	procedure	NOUN
cana-2101	75	9	and	and	CCONJ
cana-2101	75	10	make	make	VERB
cana-2101	75	11	sense	sense	NOUN
cana-2101	75	12	of	of	ADP
cana-2101	75	13	the	the	DET
cana-2101	75	14	key	key	ADJ
cana-2101	75	15	thoughts	thought	NOUN
cana-2101	75	16	that	that	PRON
cana-2101	75	17	help	help	VERB
cana-2101	75	18	them	they	PRON
cana-2101	75	19	.	.	PUNCT
cana-2101	76	1	communications	communication	NOUN
cana-2101	76	2	on	on	ADP
cana-2101	76	3	applied	apply	VERB
cana-2101	76	4	nonlinear	nonlinear	ADJ
cana-2101	76	5	analysis	analysis	NOUN
cana-2101	76	6	issn	issn	NOUN
cana-2101	76	7	:	:	PUNCT
cana-2101	76	8	1074	1074	NUM
cana-2101	76	9	-	-	PUNCT
cana-2101	76	10	133x	133x	NUM
cana-2101	76	11	vol	vol	NOUN
cana-2101	76	12	32	32	NUM
cana-2101	76	13	no	no	NOUN
cana-2101	76	14	.	.	PUNCT
cana-2101	77	1	1s	1s	NUM
cana-2101	77	2	(	(	PUNCT
cana-2101	77	3	2025	2025	NUM
cana-2101	77	4	)	)	PUNCT
cana-2101	77	5	57	57	NUM
cana-2101	77	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2101	77	7	figure	figure	NOUN
cana-2101	77	8	1	1	NUM
cana-2101	77	9	:	:	PUNCT
cana-2101	77	10	infectious	infectious	ADJ
cana-2101	77	11	disease	disease	NOUN
cana-2101	77	12	mathematical	mathematical	ADJ
cana-2101	77	13	models	model	NOUN
cana-2101	77	14	.	.	PUNCT
cana-2101	78	1	3.1	3.1	NUM
cana-2101	78	2	statistical	statistical	ADJ
cana-2101	78	3	-	-	PUNCT
cana-2101	78	4	based	base	VERB
cana-2101	78	5	methods	method	NOUN
cana-2101	78	6	for	for	ADP
cana-2101	78	7	epidemic	epidemic	NOUN
cana-2101	78	8	surveillance	surveillance	NOUN
cana-2101	78	9	the	the	DET
cana-2101	78	10	checking	checking	NOUN
cana-2101	78	11	of	of	ADP
cana-2101	78	12	expected	expect	VERB
cana-2101	78	13	flare	flare	NOUN
cana-2101	78	14	-	-	PUNCT
cana-2101	78	15	ups	up	NOUN
cana-2101	78	16	and	and	CCONJ
cana-2101	78	17	designs	design	NOUN
cana-2101	78	18	that	that	PRON
cana-2101	78	19	could	could	AUX
cana-2101	78	20	support	support	VERB
cana-2101	78	21	halting	halt	VERB
cana-2101	78	22	a	a	DET
cana-2101	78	23	spread	spread	NOUN
cana-2101	78	24	is	be	AUX
cana-2101	78	25	one	one	NUM
cana-2101	78	26	of	of	ADP
cana-2101	78	27	the	the	DET
cana-2101	78	28	most	most	ADV
cana-2101	78	29	vital	vital	ADJ
cana-2101	78	30	pieces	piece	NOUN
cana-2101	78	31	of	of	ADP
cana-2101	78	32	pandemic	pandemic	ADJ
cana-2101	78	33	administration	administration	NOUN
cana-2101	78	34	.	.	PUNCT
cana-2101	79	1	a	a	DET
cana-2101	79	2	prominent	prominent	ADJ
cana-2101	79	3	early	early	ADJ
cana-2101	79	4	accomplishment	accomplishment	NOUN
cana-2101	79	5	in	in	ADP
cana-2101	79	6	the	the	DET
cana-2101	79	7	field	field	NOUN
cana-2101	79	8	is	be	AUX
cana-2101	79	9	the	the	DET
cana-2101	79	10	replication	replication	NOUN
cana-2101	79	11	of	of	ADP
cana-2101	79	12	the	the	DET
cana-2101	79	13	london	london	PROPN
cana-2101	79	14	cholera	cholera	NOUN
cana-2101	79	15	pandemic	pandemic	ADJ
cana-2101	79	16	in	in	ADP
cana-2101	79	17	1854	1854	NUM
cana-2101	79	18	.	.	PUNCT
cana-2101	80	1	doctor	doctor	NOUN
cana-2101	80	2	john	john	PROPN
cana-2101	80	3	snow	snow	PROPN
cana-2101	80	4	assembled	assemble	VERB
cana-2101	80	5	spatiotemporal	spatiotemporal	ADJ
cana-2101	80	6	information	information	NOUN
cana-2101	80	7	around	around	ADV
cana-2101	80	8	then	then	ADV
cana-2101	80	9	and	and	CCONJ
cana-2101	80	10	,	,	PUNCT
cana-2101	80	11	after	after	ADP
cana-2101	80	12	planning	plan	VERB
cana-2101	80	13	them	they	PRON
cana-2101	80	14	,	,	PUNCT
cana-2101	80	15	found	find	VERB
cana-2101	80	16	a	a	DET
cana-2101	80	17	particular	particular	ADJ
cana-2101	80	18	example	example	NOUN
cana-2101	80	19	encompassing	encompass	VERB
cana-2101	80	20	the	the	DET
cana-2101	80	21	wide	wide	ADJ
cana-2101	80	22	road	road	NOUN
cana-2101	80	23	water	water	NOUN
cana-2101	80	24	siphon	siphon	VERB
cana-2101	80	25	,	,	PUNCT
cana-2101	80	26	which	which	PRON
cana-2101	80	27	filled	fill	VERB
cana-2101	80	28	in	in	ADP
cana-2101	80	29	as	as	ADP
cana-2101	80	30	the	the	DET
cana-2101	80	31	transmission	transmission	NOUN
cana-2101	80	32	zero	zero	NUM
cana-2101	80	33	point	point	NOUN
cana-2101	80	34	.	.	PUNCT
cana-2101	81	1	his	his	PRON
cana-2101	81	2	examination	examination	NOUN
cana-2101	81	3	made	make	VERB
cana-2101	81	4	the	the	DET
cana-2101	81	5	ailment	ailment	NOUN
cana-2101	81	6	wiped	wipe	VERB
cana-2101	81	7	out	out	ADP
cana-2101	81	8	.	.	PUNCT
cana-2101	82	1	the	the	DET
cana-2101	82	2	principal	principal	ADJ
cana-2101	82	3	teacher	teacher	NOUN
cana-2101	82	4	of	of	ADP
cana-2101	82	5	the	the	DET
cana-2101	82	6	study	study	NOUN
cana-2101	82	7	of	of	ADP
cana-2101	82	8	disease	disease	NOUN
cana-2101	82	9	transmission	transmission	NOUN
cana-2101	82	10	and	and	CCONJ
cana-2101	82	11	insights	insight	NOUN
cana-2101	82	12	at	at	ADP
cana-2101	82	13	the	the	DET
cana-2101	82	14	london	london	PROPN
cana-2101	82	15	school	school	NOUN
cana-2101	82	16	of	of	ADP
cana-2101	82	17	cleanliness	cleanliness	NOUN
cana-2101	82	18	and	and	CCONJ
cana-2101	82	19	tropical	tropical	ADJ
cana-2101	82	20	sicknesses	sickness	NOUN
cana-2101	82	21	at	at	ADP
cana-2101	82	22	the	the	DET
cana-2101	82	23	turn	turn	NOUN
cana-2101	82	24	of	of	ADP
cana-2101	82	25	the	the	DET
cana-2101	82	26	twentieth	twentieth	ADJ
cana-2101	82	27	century	century	NOUN
cana-2101	82	28	was	be	AUX
cana-2101	82	29	greenwood	greenwood	PROPN
cana-2101	82	30	,	,	PUNCT
cana-2101	82	31	a	a	DET
cana-2101	82	32	disease	disease	NOUN
cana-2101	82	33	transmission	transmission	NOUN
cana-2101	82	34	specialist	specialist	NOUN
cana-2101	82	35	and	and	CCONJ
cana-2101	82	36	analyst	analyst	NOUN
cana-2101	82	37	who	who	PRON
cana-2101	82	38	laid	lay	VERB
cana-2101	82	39	out	out	ADP
cana-2101	82	40	a	a	DET
cana-2101	82	41	thorough	thorough	ADJ
cana-2101	82	42	numerical	numerical	ADJ
cana-2101	82	43	connection	connection	NOUN
cana-2101	82	44	between	between	ADP
cana-2101	82	45	fields	field	NOUN
cana-2101	82	46	.	.	PUNCT
cana-2101	83	1	worldwide	worldwide	ADJ
cana-2101	83	2	status	status	NOUN
cana-2101	83	3	and	and	CCONJ
cana-2101	83	4	productive	productive	ADJ
cana-2101	83	5	homegrown	homegrown	ADJ
cana-2101	83	6	reaction	reaction	NOUN
cana-2101	83	7	instruments	instrument	NOUN
cana-2101	83	8	are	be	AUX
cana-2101	83	9	presently	presently	ADV
cana-2101	83	10	essential	essential	ADJ
cana-2101	83	11	for	for	SCONJ
cana-2101	83	12	worldwide	worldwide	ADJ
cana-2101	83	13	drives	drive	NOUN
cana-2101	83	14	to	to	PART
cana-2101	83	15	control	control	VERB
cana-2101	83	16	pandemics	pandemic	NOUN
cana-2101	83	17	.	.	PUNCT
cana-2101	84	1	the	the	DET
cana-2101	84	2	world	world	NOUN
cana-2101	84	3	wellbeing	wellbee	VERB
cana-2101	84	4	association	association	NOUN
cana-2101	84	5	and	and	CCONJ
cana-2101	84	6	the	the	DET
cana-2101	84	7	habitats	habitat	NOUN
cana-2101	84	8	for	for	ADP
cana-2101	84	9	infectious	infectious	ADJ
cana-2101	84	10	prevention	prevention	NOUN
cana-2101	84	11	are	be	AUX
cana-2101	84	12	initiating	initiate	VERB
cana-2101	84	13	an	an	DET
cana-2101	84	14	enormous	enormous	ADJ
cana-2101	84	15	worldwide	worldwide	ADJ
cana-2101	84	16	work	work	NOUN
cana-2101	84	17	to	to	PART
cana-2101	84	18	facilitate	facilitate	VERB
cana-2101	84	19	the	the	DET
cana-2101	84	20	making	making	NOUN
cana-2101	84	21	of	of	ADP
cana-2101	84	22	a	a	DET
cana-2101	84	23	worldwide	worldwide	ADJ
cana-2101	84	24	reconnaissance	reconnaissance	NOUN
cana-2101	84	25	organization	organization	NOUN
cana-2101	84	26	.	.	PUNCT
cana-2101	85	1	pandemics	pandemic	NOUN
cana-2101	85	2	that	that	PRON
cana-2101	85	3	have	have	VERB
cana-2101	85	4	as	as	ADP
cana-2101	85	5	of	of	ADP
cana-2101	85	6	late	late	ADJ
cana-2101	85	7	surfaced	surface	VERB
cana-2101	85	8	,	,	PUNCT
cana-2101	85	9	such	such	ADJ
cana-2101	85	10	guides	guide	NOUN
cana-2101	85	11	,	,	PUNCT
cana-2101	85	12	sars	sar	NOUN
cana-2101	85	13	in	in	ADP
cana-2101	85	14	2002	2002	NUM
cana-2101	85	15	-	-	SYM
cana-2101	85	16	2003	2003	NUM
cana-2101	85	17	,	,	PUNCT
cana-2101	85	18	and	and	CCONJ
cana-2101	85	19	the	the	DET
cana-2101	85	20	h1n1	h1n1	NOUN
cana-2101	85	21	pig	pig	NOUN
cana-2101	85	22	influenza	influenza	NOUN
cana-2101	85	23	in	in	ADP
cana-2101	85	24	2009	2009	NUM
cana-2101	85	25	,	,	PUNCT
cana-2101	85	26	act	act	VERB
cana-2101	85	27	as	as	ADP
cana-2101	85	28	a	a	DET
cana-2101	85	29	wake	wake	NOUN
cana-2101	85	30	up	up	ADP
cana-2101	85	31	call	call	NOUN
cana-2101	85	32	of	of	ADP
cana-2101	85	33	the	the	DET
cana-2101	85	34	worth	worth	NOUN
cana-2101	85	35	of	of	ADP
cana-2101	85	36	early	early	ADJ
cana-2101	85	37	episode	episode	NOUN
cana-2101	85	38	recognition	recognition	NOUN
cana-2101	85	39	and	and	CCONJ
cana-2101	85	40	reconnaissance	reconnaissance	NOUN
cana-2101	85	41	.	.	PUNCT
cana-2101	86	1	factual	factual	ADJ
cana-2101	86	2	methods	method	NOUN
cana-2101	86	3	have	have	AUX
cana-2101	86	4	worked	work	VERB
cana-2101	86	5	on	on	ADP
cana-2101	86	6	our	our	PRON
cana-2101	86	7	capacity	capacity	NOUN
cana-2101	86	8	to	to	ADP
cana-2101	86	9	battle	battle	NOUN
cana-2101	86	10	pandemics	pandemic	NOUN
cana-2101	86	11	by	by	ADP
cana-2101	86	12	empowering	empower	VERB
cana-2101	86	13	fast	fast	ADJ
cana-2101	86	14	evaluations	evaluation	NOUN
cana-2101	86	15	of	of	ADP
cana-2101	86	16	new	new	ADJ
cana-2101	86	17	conditions	condition	NOUN
cana-2101	86	18	.	.	PUNCT
cana-2101	87	1	it	it	PRON
cana-2101	87	2	's	be	AUX
cana-2101	87	3	implied	imply	VERB
cana-2101	87	4	that	that	SCONJ
cana-2101	87	5	precise	precise	ADJ
cana-2101	87	6	information	information	NOUN
cana-2101	87	7	and	and	CCONJ
cana-2101	87	8	the	the	DET
cana-2101	87	9	right	right	ADJ
cana-2101	87	10	strategy	strategy	NOUN
cana-2101	87	11	determination	determination	NOUN
cana-2101	87	12	are	be	AUX
cana-2101	87	13	fundamental	fundamental	ADJ
cana-2101	87	14	for	for	ADP
cana-2101	87	15	building	build	VERB
cana-2101	87	16	measurable	measurable	ADJ
cana-2101	87	17	models	model	NOUN
cana-2101	87	18	that	that	PRON
cana-2101	87	19	successfully	successfully	ADV
cana-2101	87	20	and	and	CCONJ
cana-2101	87	21	heartily	heartily	ADV
cana-2101	87	22	catch	catch	VERB
cana-2101	87	23	the	the	DET
cana-2101	87	24	highlights	highlight	NOUN
cana-2101	87	25	of	of	ADP
cana-2101	87	26	irresistible	irresistible	ADJ
cana-2101	87	27	sicknesses	sickness	NOUN
cana-2101	87	28	.	.	PUNCT
cana-2101	88	1	3.2	3.2	NUM
cana-2101	88	2	regression	regression	NOUN
cana-2101	88	3	methods	method	NOUN
cana-2101	88	4	relapse	relapse	NOUN
cana-2101	88	5	models	model	NOUN
cana-2101	88	6	track	track	VERB
cana-2101	88	7	a	a	DET
cana-2101	88	8	measurement	measurement	NOUN
cana-2101	88	9	of	of	ADP
cana-2101	88	10	detailed	detailed	ADJ
cana-2101	88	11	tainted	tainted	ADJ
cana-2101	88	12	cases	case	NOUN
cana-2101	88	13	,	,	PUNCT
cana-2101	88	14	say	say	VERB
cana-2101	88	15	y(t	y(t	PROPN
cana-2101	88	16	)	)	PUNCT
cana-2101	88	17	,	,	PUNCT
cana-2101	88	18	trying	try	VERB
cana-2101	88	19	to	to	PART
cana-2101	88	20	recognize	recognize	VERB
cana-2101	88	21	an	an	DET
cana-2101	88	22	episode	episode	NOUN
cana-2101	88	23	from	from	ADP
cana-2101	88	24	time	time	NOUN
cana-2101	88	25	-	-	PUNCT
cana-2101	88	26	series	series	NOUN
cana-2101	88	27	of	of	ADP
cana-2101	88	28	scourge	scourge	NOUN
cana-2101	88	29	free	free	ADJ
cana-2101	88	30	spans	span	NOUN
cana-2101	88	31	.	.	PUNCT
cana-2101	89	1	at	at	ADP
cana-2101	89	2	the	the	DET
cana-2101	89	3	point	point	NOUN
cana-2101	89	4	when	when	SCONJ
cana-2101	89	5	an	an	DET
cana-2101	89	6	edge	edge	NOUN
cana-2101	89	7	,	,	PUNCT
cana-2101	89	8	suppose	suppose	VERB
cana-2101	89	9	k	k	X
cana-2101	89	10	,	,	PUNCT
cana-2101	89	11	is	be	AUX
cana-2101	89	12	surpassed	surpass	VERB
cana-2101	89	13	—	—	PUNCT
cana-2101	89	14	characterized	characterize	VERB
cana-2101	89	15	by	by	ADP
cana-2101	89	16	an	an	DET
cana-2101	89	17	outer	outer	ADJ
cana-2101	89	18	record	record	NOUN
cana-2101	89	19	containing	contain	VERB
cana-2101	89	20	a	a	DET
cana-2101	89	21	picture	picture	NOUN
cana-2101	89	22	,	,	PUNCT
cana-2101	89	23	delineation	delineation	NOUN
cana-2101	89	24	,	,	PUNCT
cana-2101	89	25	and	and	CCONJ
cana-2101	89	26	so	so	ADV
cana-2101	89	27	forth	forth	ADV
cana-2101	89	28	—	—	PUNCT
cana-2101	89	29	a	a	DET
cana-2101	89	30	pandemic	pandemic	ADJ
cana-2101	89	31	caution	caution	NOUN
cana-2101	89	32	is	be	AUX
cana-2101	89	33	raised	raise	VERB
cana-2101	89	34	.	.	PUNCT
cana-2101	90	1	the	the	DET
cana-2101	90	2	item	item	NOUN
cana-2101	90	3	name	name	NOUN
cana-2101	90	4	is	be	AUX
cana-2101	90	5	viru-4-295-e1.jpg	viru-4-295-e1.jpg	PROPN
cana-2101	90	6	,	,	PUNCT
cana-2101	90	7	with	with	ADP
cana-2101	90	8	μ	μ	NOUN
cana-2101	90	9	addressing	address	VERB
cana-2101	90	10	the	the	DET
cana-2101	90	11	time	time	NOUN
cana-2101	90	12	-	-	PUNCT
cana-2101	90	13	series	series	NOUN
cana-2101	90	14	circulation	circulation	NOUN
cana-2101	90	15	mean	mean	VERB
cana-2101	90	16	worth	worth	ADJ
cana-2101	90	17	inside	inside	ADP
cana-2101	90	18	a	a	DET
cana-2101	90	19	95	95	NUM
cana-2101	90	20	percent	percent	NOUN
cana-2101	90	21	certainty	certainty	NOUN
cana-2101	90	22	stretch	stretch	NOUN
cana-2101	90	23	.	.	PUNCT
cana-2101	91	1	serfling	serfling	NOUN
cana-2101	91	2	's	's	PART
cana-2101	91	3	relapse	relapse	NOUN
cana-2101	91	4	model	model	NOUN
cana-2101	91	5	,	,	PUNCT
cana-2101	91	6	which	which	PRON
cana-2101	91	7	was	be	AUX
cana-2101	91	8	first	first	ADV
cana-2101	91	9	worked	work	VERB
cana-2101	91	10	to	to	PART
cana-2101	91	11	follow	follow	VERB
cana-2101	91	12	flu	flu	NOUN
cana-2101	91	13	related	relate	VERB
cana-2101	91	14	passings	passing	NOUN
cana-2101	91	15	in	in	ADP
cana-2101	91	16	light	light	NOUN
cana-2101	91	17	of	of	ADP
cana-2101	91	18	the	the	DET
cana-2101	91	19	yearly	yearly	ADJ
cana-2101	91	20	example	example	NOUN
cana-2101	91	21	of	of	ADP
cana-2101	91	22	pneumonia	pneumonia	NOUN
cana-2101	91	23	and	and	CCONJ
cana-2101	91	24	flu	flu	NOUN
cana-2101	91	25	passings	passing	NOUN
cana-2101	91	26	,	,	PUNCT
cana-2101	91	27	is	be	AUX
cana-2101	91	28	an	an	DET
cana-2101	91	29	essential	essential	ADJ
cana-2101	91	30	relapse	relapse	NOUN
cana-2101	91	31	model	model	NOUN
cana-2101	91	32	.	.	PUNCT
cana-2101	92	1	the	the	DET
cana-2101	92	2	sickness	sickness	NOUN
cana-2101	92	3	shows	show	VERB
cana-2101	92	4	occasional	occasional	ADJ
cana-2101	92	5	way	way	NOUN
cana-2101	92	6	of	of	ADP
cana-2101	92	7	behaving	behave	VERB
cana-2101	92	8	;	;	PUNCT
cana-2101	92	9	thus	thus	ADV
cana-2101	92	10	the	the	DET
cana-2101	92	11	accompanying	accompanying	ADJ
cana-2101	92	12	cyclic	cyclic	ADJ
cana-2101	92	13	relapse	relapse	NOUN
cana-2101	92	14	model	model	NOUN
cana-2101	92	15	has	have	AUX
cana-2101	92	16	been	be	AUX
cana-2101	92	17	inspected	inspect	VERB
cana-2101	92	18	:	:	PUNCT
cana-2101	92	19	communications	communication	NOUN
cana-2101	92	20	on	on	ADP
cana-2101	92	21	applied	apply	VERB
cana-2101	92	22	nonlinear	nonlinear	ADJ
cana-2101	92	23	analysis	analysis	NOUN
cana-2101	92	24	issn	issn	NOUN
cana-2101	92	25	:	:	PUNCT
cana-2101	92	26	1074	1074	NUM
cana-2101	92	27	-	-	PUNCT
cana-2101	92	28	133x	133x	NUM
cana-2101	92	29	vol	vol	NOUN
cana-2101	92	30	32	32	NUM
cana-2101	92	31	no	no	NOUN
cana-2101	92	32	.	.	PUNCT
cana-2101	93	1	1s	1s	NUM
cana-2101	93	2	(	(	PUNCT
cana-2101	93	3	2025	2025	NUM
cana-2101	93	4	)	)	PUNCT
cana-2101	93	5	58	58	NUM
cana-2101	93	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2101	93	7	while	while	SCONJ
cana-2101	93	8	the	the	DET
cana-2101	93	9	coefficients	coefficient	NOUN
cana-2101	93	10	should	should	AUX
cana-2101	93	11	be	be	AUX
cana-2101	93	12	tracked	track	VERB
cana-2101	93	13	down	down	ADP
cana-2101	93	14	utilizing	utilize	VERB
cana-2101	93	15	a	a	DET
cana-2101	93	16	boundary	boundary	ADJ
cana-2101	93	17	recognizable	recognizable	ADJ
cana-2101	93	18	proof	proof	NOUN
cana-2101	93	19	procedure	procedure	NOUN
cana-2101	93	20	,	,	PUNCT
cana-2101	93	21	θ	θ	PROPN
cana-2101	93	22	is	be	AUX
cana-2101	93	23	a	a	DET
cana-2101	93	24	straight	straight	ADJ
cana-2101	93	25	capability	capability	NOUN
cana-2101	93	26	of	of	ADP
cana-2101	93	27	time	time	NOUN
cana-2101	93	28	t.	t.	X
cana-2101	93	29	repetitive	repetitive	ADJ
cana-2101	93	30	occasional	occasional	ADJ
cana-2101	93	31	examples	example	NOUN
cana-2101	93	32	are	be	AUX
cana-2101	93	33	approximated	approximate	VERB
cana-2101	93	34	utilizing	utilize	VERB
cana-2101	93	35	the	the	DET
cana-2101	93	36	cosine	cosine	NOUN
cana-2101	93	37	and	and	CCONJ
cana-2101	93	38	sine	sine	ADJ
cana-2101	93	39	terms	term	NOUN
cana-2101	93	40	;	;	PUNCT
cana-2101	93	41	the	the	DET
cana-2101	93	42	commotion	commotion	NOUN
cana-2101	93	43	,	,	PUNCT
cana-2101	93	44	e(t	e(t	PROPN
cana-2101	93	45	)	)	PUNCT
cana-2101	93	46	,	,	PUNCT
cana-2101	93	47	is	be	AUX
cana-2101	93	48	gathered	gather	VERB
cana-2101	93	49	from	from	ADP
cana-2101	93	50	the	the	DET
cana-2101	93	51	time	time	NOUN
cana-2101	93	52	-	-	PUNCT
cana-2101	93	53	series	series	NOUN
cana-2101	93	54	and	and	CCONJ
cana-2101	93	55	is	be	AUX
cana-2101	93	56	thought	think	VERB
cana-2101	93	57	to	to	PART
cana-2101	93	58	be	be	AUX
cana-2101	93	59	gaussian	gaussian	NOUN
cana-2101	93	60	conveyed	convey	VERB
cana-2101	93	61	with	with	ADP
cana-2101	93	62	mean	mean	PROPN
cana-2101	93	63	zero	zero	NUM
cana-2101	93	64	and	and	CCONJ
cana-2101	93	65	fluctuation	fluctuation	NOUN
cana-2101	93	66	σ2	σ2	PROPN
cana-2101	93	67	.	.	PUNCT
cana-2101	94	1	the	the	DET
cana-2101	94	2	normal	normal	ADJ
cana-2101	94	3	mean	mean	NOUN
cana-2101	94	4	worth	worth	NOUN
cana-2101	94	5	of	of	ADP
cana-2101	94	6	all	all	DET
cana-2101	94	7	passings	passing	NOUN
cana-2101	94	8	from	from	ADP
cana-2101	94	9	flu	flu	NOUN
cana-2101	94	10	and	and	CCONJ
cana-2101	94	11	pneumonia	pneumonia	NOUN
cana-2101	94	12	,	,	PUNCT
cana-2101	94	13	communicated	communicate	VERB
cana-2101	94	14	in	in	ADP
cana-2101	94	15	units	unit	NOUN
cana-2101	94	16	of	of	ADP
cana-2101	94	17	four	four	NUM
cana-2101	94	18	-	-	PUNCT
cana-2101	94	19	week	week	NOUN
cana-2101	94	20	spans	span	NOUN
cana-2101	94	21	,	,	PUNCT
cana-2101	94	22	was	be	AUX
cana-2101	94	23	signified	signify	VERB
cana-2101	94	24	by	by	ADP
cana-2101	94	25	the	the	DET
cana-2101	94	26	image	image	NOUN
cana-2101	94	27	y(t	y(t	NUM
cana-2101	94	28	)	)	PUNCT
cana-2101	94	29	in	in	ADP
cana-2101	94	30	the	the	DET
cana-2101	94	31	first	first	ADJ
cana-2101	94	32	serfling	serfling	NOUN
cana-2101	94	33	study	study	NOUN
cana-2101	94	34	.	.	PUNCT
cana-2101	95	1	information	information	NOUN
cana-2101	95	2	from	from	ADP
cana-2101	95	3	108	108	NUM
cana-2101	95	4	us	us	PROPN
cana-2101	95	5	urban	urban	ADJ
cana-2101	95	6	communities	community	NOUN
cana-2101	95	7	during	during	ADP
cana-2101	95	8	a	a	DET
cana-2101	95	9	three	three	NUM
cana-2101	95	10	-	-	PUNCT
cana-2101	95	11	year	year	NOUN
cana-2101	95	12	time	time	NOUN
cana-2101	95	13	frame	frame	NOUN
cana-2101	95	14	starting	start	VERB
cana-2101	95	15	in	in	ADP
cana-2101	95	16	september	september	PROPN
cana-2101	95	17	1955	1955	NUM
cana-2101	95	18	were	be	AUX
cana-2101	95	19	utilized	utilize	VERB
cana-2101	95	20	to	to	PART
cana-2101	95	21	fit	fit	VERB
cana-2101	95	22	the	the	DET
cana-2101	95	23	model	model	NOUN
cana-2101	95	24	.	.	PUNCT
cana-2101	96	1	after	after	ADP
cana-2101	96	2	utilizing	utilize	VERB
cana-2101	96	3	least	least	ADJ
cana-2101	96	4	squares	square	NOUN
cana-2101	96	5	estimation	estimation	NOUN
cana-2101	96	6	,	,	PUNCT
cana-2101	96	7	serfling	serfling	NOUN
cana-2101	96	8	arrived	arrive	VERB
cana-2101	96	9	at	at	ADP
cana-2101	96	10	the	the	DET
cana-2101	96	11	subsequent	subsequent	ADJ
cana-2101	96	12	model	model	NOUN
cana-2101	96	13	:	:	PUNCT
cana-2101	96	14	there	there	PRON
cana-2101	96	15	have	have	AUX
cana-2101	96	16	also	also	ADV
cana-2101	96	17	been	be	AUX
cana-2101	96	18	proposals	proposal	NOUN
cana-2101	96	19	for	for	ADP
cana-2101	96	20	other	other	ADJ
cana-2101	96	21	models	model	NOUN
cana-2101	96	22	that	that	PRON
cana-2101	96	23	use	use	VERB
cana-2101	96	24	square	square	ADJ
cana-2101	96	25	terms	term	NOUN
cana-2101	96	26	and	and	CCONJ
cana-2101	96	27	t2	t2	NOUN
cana-2101	96	28	to	to	PART
cana-2101	96	29	account	account	VERB
cana-2101	96	30	for	for	ADP
cana-2101	96	31	longterm	longterm	ADJ
cana-2101	96	32	changes	change	NOUN
cana-2101	96	33	welcomed	welcome	VERB
cana-2101	96	34	on	on	ADP
cana-2101	96	35	by	by	ADP
cana-2101	96	36	factors	factor	NOUN
cana-2101	96	37	like	like	ADP
cana-2101	96	38	populace	populace	NOUN
cana-2101	96	39	increment	increment	NOUN
cana-2101	96	40	or	or	CCONJ
cana-2101	96	41	ailment	ailment	NOUN
cana-2101	96	42	evaluation.27	evaluation.27	PROPN
cana-2101	96	43	the	the	DET
cana-2101	96	44	habitats	habitat	NOUN
cana-2101	96	45	for	for	ADP
cana-2101	96	46	infectious	infectious	ADJ
cana-2101	96	47	prevention	prevention	NOUN
cana-2101	96	48	in	in	ADP
cana-2101	96	49	the	the	DET
cana-2101	96	50	us	us	PROPN
cana-2101	96	51	,	,	PUNCT
cana-2101	96	52	australia	australia	PROPN
cana-2101	96	53	,	,	PUNCT
cana-2101	96	54	france	france	PROPN
cana-2101	96	55	,	,	PUNCT
cana-2101	96	56	and	and	CCONJ
cana-2101	96	57	italy	italy	PROPN
cana-2101	96	58	at	at	ADP
cana-2101	96	59	present	present	ADJ
cana-2101	96	60	utilize	utilize	VERB
cana-2101	96	61	the	the	DET
cana-2101	96	62	previously	previously	ADV
cana-2101	96	63	mentioned	mention	VERB
cana-2101	96	64	strategy	strategy	NOUN
cana-2101	96	65	to	to	PART
cana-2101	96	66	distinguish	distinguish	VERB
cana-2101	96	67	flu	flu	NOUN
cana-2101	96	68	plagues	plague	NOUN
cana-2101	96	69	.	.	PUNCT
cana-2101	97	1	despite	despite	SCONJ
cana-2101	97	2	the	the	DET
cana-2101	97	3	fact	fact	NOUN
cana-2101	97	4	that	that	SCONJ
cana-2101	97	5	disease	disease	NOUN
cana-2101	97	6	transmission	transmission	NOUN
cana-2101	97	7	specialists	specialist	NOUN
cana-2101	97	8	exceptionally	exceptionally	ADV
cana-2101	97	9	favor	favor	VERB
cana-2101	97	10	this	this	DET
cana-2101	97	11	strategy	strategy	NOUN
cana-2101	97	12	for	for	ADP
cana-2101	97	13	reconnaissance	reconnaissance	NOUN
cana-2101	97	14	and	and	CCONJ
cana-2101	97	15	expectation	expectation	NOUN
cana-2101	97	16	,	,	PUNCT
cana-2101	97	17	one	one	PRON
cana-2101	97	18	should	should	AUX
cana-2101	97	19	utilize	utilize	VERB
cana-2101	97	20	alert	alert	NOUN
cana-2101	97	21	while	while	SCONJ
cana-2101	97	22	applying	apply	VERB
cana-2101	97	23	it	it	PRON
cana-2101	97	24	on	on	ADP
cana-2101	97	25	the	the	DET
cana-2101	97	26	grounds	ground	NOUN
cana-2101	97	27	that	that	SCONJ
cana-2101	97	28	the	the	DET
cana-2101	97	29	type	type	NOUN
cana-2101	97	30	of	of	ADP
cana-2101	97	31	the	the	DET
cana-2101	97	32	situations	situation	NOUN
cana-2101	97	33	ordinarily	ordinarily	ADV
cana-2101	97	34	relies	rely	VERB
cana-2101	97	35	upon	upon	SCONJ
cana-2101	97	36	impromptu	impromptu	ADJ
cana-2101	97	37	suppositions	supposition	NOUN
cana-2101	97	38	about	about	ADP
cana-2101	97	39	the	the	DET
cana-2101	97	40	connection	connection	NOUN
cana-2101	97	41	between	between	ADP
cana-2101	97	42	the	the	DET
cana-2101	97	43	elements	element	NOUN
cana-2101	97	44	of	of	ADP
cana-2101	97	45	a	a	DET
cana-2101	97	46	sickness	sickness	NOUN
cana-2101	97	47	and	and	CCONJ
cana-2101	97	48	the	the	DET
cana-2101	97	49	free	free	ADJ
cana-2101	97	50	factors	factor	NOUN
cana-2101	97	51	(	(	PUNCT
cana-2101	97	52	factors	factor	NOUN
cana-2101	97	53	)	)	PUNCT
cana-2101	97	54	that	that	PRON
cana-2101	97	55	control	control	VERB
cana-2101	97	56	its	its	PRON
cana-2101	97	57	spread	spread	NOUN
cana-2101	97	58	.	.	PUNCT
cana-2101	98	1	moreover	moreover	ADV
cana-2101	98	2	,	,	PUNCT
cana-2101	98	3	there	there	PRON
cana-2101	98	4	ought	ought	AUX
cana-2101	98	5	to	to	PART
cana-2101	98	6	be	be	AUX
cana-2101	98	7	a	a	DET
cana-2101	98	8	"	"	PUNCT
cana-2101	98	9	note	note	NOUN
cana-2101	98	10	of	of	ADP
cana-2101	98	11	mindfulness	mindfulness	NOUN
cana-2101	98	12	"	"	PUNCT
cana-2101	98	13	while	while	SCONJ
cana-2101	98	14	utilizing	utilize	VERB
cana-2101	98	15	the	the	DET
cana-2101	98	16	model	model	NOUN
cana-2101	98	17	(	(	PUNCT
cana-2101	98	18	straight	straight	ADJ
cana-2101	98	19	or	or	CCONJ
cana-2101	98	20	nonlinear	nonlinear	ADJ
cana-2101	98	21	)	)	PUNCT
cana-2101	98	22	and	and	CCONJ
cana-2101	98	23	the	the	DET
cana-2101	98	24	presumptions	presumption	NOUN
cana-2101	98	25	made	make	VERB
cana-2101	98	26	about	about	ADP
cana-2101	98	27	the	the	DET
cana-2101	98	28	measurable	measurable	ADJ
cana-2101	98	29	qualities	quality	NOUN
cana-2101	98	30	(	(	PUNCT
cana-2101	98	31	like	like	ADP
cana-2101	98	32	freedom	freedom	NOUN
cana-2101	98	33	,	,	PUNCT
cana-2101	98	34	typical	typical	ADJ
cana-2101	98	35	circulation	circulation	NOUN
cana-2101	98	36	,	,	PUNCT
cana-2101	98	37	and	and	CCONJ
cana-2101	98	38	fixed	fix	VERB
cana-2101	98	39	change	change	NOUN
cana-2101	98	40	)	)	PUNCT
cana-2101	98	41	of	of	ADP
cana-2101	98	42	the	the	DET
cana-2101	98	43	unmodeled	unmodeled	ADJ
cana-2101	98	44	elements	element	NOUN
cana-2101	98	45	(	(	PUNCT
cana-2101	98	46	addressed	address	VERB
cana-2101	98	47	by	by	ADP
cana-2101	98	48	e(t	e(t	NOUN
cana-2101	98	49	)	)	PUNCT
cana-2101	98	50	)	)	PUNCT
cana-2101	98	51	,	,	PUNCT
cana-2101	98	52	especially	especially	ADV
cana-2101	98	53	while	while	SCONJ
cana-2101	98	54	involving	involve	VERB
cana-2101	98	55	them	they	PRON
cana-2101	98	56	for	for	ADP
cana-2101	98	57	reconnaissance	reconnaissance	NOUN
cana-2101	98	58	and	and	CCONJ
cana-2101	98	59	flare	flare	NOUN
cana-2101	98	60	-	-	PUNCT
cana-2101	98	61	up	up	ADP
cana-2101	98	62	expectation	expectation	NOUN
cana-2101	98	63	of	of	ADP
cana-2101	98	64	recently	recently	ADV
cana-2101	98	65	arising	arise	VERB
cana-2101	98	66	pandemics	pandemic	NOUN
cana-2101	98	67	.	.	PUNCT
cana-2101	99	1	autoregressive	autoregressive	ADJ
cana-2101	99	2	models	model	NOUN
cana-2101	99	3	,	,	PUNCT
cana-2101	99	4	including	include	VERB
cana-2101	99	5	the	the	DET
cana-2101	99	6	autoregressive	autoregressive	ADJ
cana-2101	99	7	integrated	integrated	ADJ
cana-2101	99	8	moving	move	VERB
cana-2101	99	9	average	average	ADJ
cana-2101	99	10	model	model	NOUN
cana-2101	99	11	(	(	PUNCT
cana-2101	99	12	arima	arima	PROPN
cana-2101	99	13	)	)	PUNCT
cana-2101	99	14	and	and	CCONJ
cana-2101	99	15	seasonal	seasonal	ADJ
cana-2101	99	16	arima	arima	NOUN
cana-2101	99	17	(	(	PUNCT
cana-2101	99	18	sarima	sarima	NOUN
cana-2101	99	19	)	)	PUNCT
cana-2101	99	20	,	,	PUNCT
cana-2101	99	21	as	as	ADV
cana-2101	99	22	well	well	ADV
cana-2101	99	23	as	as	ADP
cana-2101	99	24	neural	neural	ADJ
cana-2101	99	25	networks	network	NOUN
cana-2101	99	26	,	,	PUNCT
cana-2101	99	27	are	be	AUX
cana-2101	99	28	utilized	utilize	VERB
cana-2101	99	29	in	in	ADP
cana-2101	99	30	times	times	PROPN
cana-2101	99	31	series	series	PROPN
cana-2101	99	32	analysis	analysis	NOUN
cana-2101	99	33	.	.	PUNCT
cana-2101	100	1	these	these	DET
cana-2101	100	2	methods	method	NOUN
cana-2101	100	3	ease	ease	VERB
cana-2101	100	4	the	the	DET
cana-2101	100	5	assumptions	assumption	NOUN
cana-2101	100	6	around	around	ADP
cana-2101	100	7	the	the	DET
cana-2101	100	8	autocorrelation	autocorrelation	NOUN
cana-2101	100	9	of	of	ADP
cana-2101	100	10	regression	regression	NOUN
cana-2101	100	11	models	model	NOUN
cana-2101	100	12	and	and	CCONJ
cana-2101	100	13	the	the	DET
cana-2101	100	14	assumptions	assumption	NOUN
cana-2101	100	15	surrounding	surround	VERB
cana-2101	100	16	basic	basic	ADJ
cana-2101	100	17	autoregressive	autoregressive	ADJ
cana-2101	100	18	models	model	NOUN
cana-2101	100	19	,	,	PUNCT
cana-2101	100	20	such	such	ADJ
cana-2101	100	21	as	as	ADP
cana-2101	100	22	arma	arma	PROPN
cana-2101	100	23	(	(	PUNCT
cana-2101	100	24	autoregressive	autoregressive	ADJ
cana-2101	100	25	moving	moving	NOUN
cana-2101	100	26	)	)	PUNCT
cana-2101	100	27	and	and	CCONJ
cana-2101	100	28	ar	ar	NOUN
cana-2101	100	29	(	(	PUNCT
cana-2101	100	30	autoregressive	autoregressive	ADJ
cana-2101	100	31	)	)	PUNCT
cana-2101	100	32	,	,	PUNCT
cana-2101	100	33	which	which	PRON
cana-2101	100	34	do	do	AUX
cana-2101	100	35	not	not	PART
cana-2101	100	36	account	account	VERB
cana-2101	100	37	for	for	ADP
cana-2101	100	38	historical	historical	ADJ
cana-2101	100	39	disturbances	disturbance	NOUN
cana-2101	100	40	.	.	PUNCT
cana-2101	101	1	arima	arima	NOUN
cana-2101	101	2	models	model	NOUN
cana-2101	101	3	are	be	AUX
cana-2101	101	4	the	the	DET
cana-2101	101	5	most	most	ADV
cana-2101	101	6	widely	widely	ADV
cana-2101	101	7	employed	employ	VERB
cana-2101	101	8	in	in	ADP
cana-2101	101	9	this	this	DET
cana-2101	101	10	category	category	NOUN
cana-2101	101	11	.	.	PUNCT
cana-2101	102	1	in	in	ADP
cana-2101	102	2	general	general	ADJ
cana-2101	102	3	,	,	PUNCT
cana-2101	102	4	they	they	PRON
cana-2101	102	5	look	look	VERB
cana-2101	102	6	like	like	ADP
cana-2101	102	7	this	this	PRON
cana-2101	102	8	:	:	PUNCT
cana-2101	102	9	where	where	SCONJ
cana-2101	102	10	δd	δd	PROPN
cana-2101	102	11	is	be	AUX
cana-2101	102	12	the	the	DET
cana-2101	102	13	differencing	difference	VERB
cana-2101	102	14	operator	operator	NOUN
cana-2101	102	15	of	of	ADP
cana-2101	102	16	order	order	NOUN
cana-2101	102	17	d	d	NOUN
cana-2101	102	18	defined	define	VERB
cana-2101	102	19	by	by	ADP
cana-2101	102	20	δd	δd	PRON
cana-2101	102	21	≥	≥	X
cana-2101	102	22	(	(	PUNCT
cana-2101	102	23	1	1	NUM
cana-2101	102	24	–	–	PUNCT
cana-2101	102	25	z−1)d	z−1)d	NUM
cana-2101	102	26	;	;	PUNCT
cana-2101	102	27	a(z−1	a(z−1	NOUN
cana-2101	102	28	)	)	PUNCT
cana-2101	102	29	is	be	AUX
cana-2101	102	30	the	the	DET
cana-2101	102	31	autoregressive	autoregressive	ADJ
cana-2101	102	32	operator	operator	NOUN
cana-2101	102	33	defined	define	VERB
cana-2101	102	34	as	as	ADP
cana-2101	102	35	an	an	DET
cana-2101	102	36	external	external	ADJ
cana-2101	102	37	file	file	NOUN
cana-2101	102	38	that	that	PRON
cana-2101	102	39	holds	hold	VERB
cana-2101	102	40	an	an	DET
cana-2101	102	41	image	image	NOUN
cana-2101	102	42	,	,	PUNCT
cana-2101	102	43	illustration	illustration	NOUN
cana-2101	102	44	,	,	PUNCT
cana-2101	102	45	etc	etc	X
cana-2101	102	46	.	.	X
cana-2101	102	47	;	;	PUNCT
cana-2101	102	48	and	and	CCONJ
cana-2101	102	49	y(t	y(t	NUM
cana-2101	102	50	)	)	PUNCT
cana-2101	102	51	denotes	denote	VERB
cana-2101	102	52	a	a	DET
cana-2101	102	53	stationary	stationary	ADJ
cana-2101	102	54	stochastic	stochastic	ADJ
cana-2101	102	55	process	process	NOUN
cana-2101	102	56	at	at	ADP
cana-2101	102	57	time	time	NOUN
cana-2101	102	58	t	t	PROPN
cana-2101	102	59	with	with	ADP
cana-2101	102	60	mean	mean	ADJ
cana-2101	102	61	value	value	NOUN
cana-2101	102	62	e(y(t	e(y(t	PROPN
cana-2101	102	63	)	)	PUNCT
cana-2101	102	64	)	)	PUNCT
cana-2101	103	1	=	=	SYM
cana-2101	103	2	μ	μ	PROPN
cana-2101	103	3	.	.	PUNCT
cana-2101	104	1	the	the	DET
cana-2101	104	2	moving	move	VERB
cana-2101	104	3	-	-	PUNCT
cana-2101	104	4	average	average	NOUN
cana-2101	104	5	operator	operator	NOUN
cana-2101	104	6	b(z-1	b(z-1	NOUN
cana-2101	104	7	)	)	PUNCT
cana-2101	104	8	is	be	AUX
cana-2101	104	9	defined	define	VERB
cana-2101	104	10	by	by	ADP
cana-2101	104	11	an	an	DET
cana-2101	104	12	external	external	ADJ
cana-2101	104	13	file	file	NOUN
cana-2101	104	14	containing	contain	VERB
cana-2101	104	15	an	an	DET
cana-2101	104	16	image	image	NOUN
cana-2101	104	17	,	,	PUNCT
cana-2101	104	18	illustration	illustration	NOUN
cana-2101	104	19	,	,	PUNCT
cana-2101	104	20	etc	etc	X
cana-2101	104	21	.	.	X
cana-2101	105	1	the	the	DET
cana-2101	105	2	object	object	NOUN
cana-2101	105	3	name	name	NOUN
cana-2101	105	4	is	be	AUX
cana-2101	105	5	viru-4-295-e5.jpg	viru-4-295-e5.jpg	PROPN
cana-2101	105	6	.	.	PUNCT
cana-2101	106	1	the	the	DET
cana-2101	106	2	object	object	NOUN
cana-2101	106	3	is	be	AUX
cana-2101	106	4	named	name	VERB
cana-2101	106	5	viru-4-295-e6.jpg	viru-4-295-e6.jpg	NUM
cana-2101	106	6	,	,	PUNCT
cana-2101	106	7	and	and	CCONJ
cana-2101	106	8	the	the	DET
cana-2101	106	9	part	part	NOUN
cana-2101	106	10	of	of	ADP
cana-2101	106	11	the	the	DET
cana-2101	106	12	measurement	measurement	NOUN
cana-2101	106	13	that	that	PRON
cana-2101	106	14	can	can	AUX
cana-2101	106	15	not	not	PART
cana-2101	106	16	be	be	AUX
cana-2101	106	17	anticipated	anticipate	VERB
cana-2101	106	18	from	from	ADP
cana-2101	106	19	earlier	early	ADJ
cana-2101	106	20	measurements	measurement	NOUN
cana-2101	106	21	is	be	AUX
cana-2101	106	22	represented	represent	VERB
cana-2101	106	23	by	by	ADP
cana-2101	106	24	the	the	DET
cana-2101	106	25	residual	residual	ADJ
cana-2101	106	26	,	,	PUNCT
cana-2101	106	27	or	or	CCONJ
cana-2101	106	28	noise	noise	NOUN
cana-2101	106	29	,	,	PUNCT
cana-2101	106	30	at	at	ADP
cana-2101	106	31	time	time	NOUN
cana-2101	106	32	t	t	PROPN
cana-2101	106	33	,	,	PUNCT
cana-2101	106	34	or	or	CCONJ
cana-2101	106	35	e(t	e(t	PROPN
cana-2101	106	36	)	)	PUNCT
cana-2101	106	37	.	.	PUNCT
cana-2101	107	1	the	the	DET
cana-2101	107	2	moving	move	VERB
cana-2101	107	3	average	average	ADJ
cana-2101	107	4	model	model	NOUN
cana-2101	107	5	is	be	AUX
cana-2101	107	6	obtained	obtain	VERB
cana-2101	107	7	for	for	ADP
cana-2101	107	8	d	d	PROPN
cana-2101	107	9	=	=	SYM
cana-2101	107	10	0	0	NUM
cana-2101	107	11	and	and	CCONJ
cana-2101	107	12	na	na	ADP
cana-2101	107	13	=	=	SYM
cana-2101	107	14	0	0	NUM
cana-2101	107	15	,	,	PUNCT
cana-2101	107	16	and	and	CCONJ
cana-2101	107	17	the	the	DET
cana-2101	107	18	random	random	ADJ
cana-2101	107	19	walk	walk	NOUN
cana-2101	107	20	with	with	ADP
cana-2101	107	21	drift	drift	NOUN
cana-2101	107	22	is	be	AUX
cana-2101	107	23	obtained	obtain	VERB
cana-2101	107	24	for	for	ADP
cana-2101	107	25	d	d	PROPN
cana-2101	107	26	=	=	SYM
cana-2101	107	27	1	1	NUM
cana-2101	107	28	and	and	CCONJ
cana-2101	107	29	na	na	ADP
cana-2101	107	30	=	=	PUNCT
cana-2101	108	1	nb	nb	NOUN
cana-2101	108	2	=	=	NOUN
cana-2101	108	3	0	0	PROPN
cana-2101	108	4	.	.	PUNCT
cana-2101	109	1	by	by	ADP
cana-2101	109	2	taking	take	VERB
cana-2101	109	3	into	into	ADP
cana-2101	109	4	account	account	NOUN
cana-2101	109	5	the	the	DET
cana-2101	109	6	seasonal	seasonal	ADJ
cana-2101	109	7	differencing	differencing	NOUN
cana-2101	109	8	operator	operator	NOUN
cana-2101	109	9	,	,	PUNCT
cana-2101	109	10	seasonal	seasonal	ADJ
cana-2101	109	11	differencing	differencing	NOUN
cana-2101	109	12	naturally	naturally	ADV
cana-2101	109	13	joins	join	VERB
cana-2101	109	14	the	the	DET
cana-2101	109	15	framework	framework	NOUN
cana-2101	109	16	mentioned	mention	VERB
cana-2101	109	17	above	above	ADV
cana-2101	109	18	.	.	PUNCT
cana-2101	110	1	an	an	DET
cana-2101	110	2	external	external	ADJ
cana-2101	110	3	file	file	NOUN
cana-2101	110	4	containing	contain	VERB
cana-2101	110	5	an	an	DET
cana-2101	110	6	image	image	NOUN
cana-2101	110	7	,	,	PUNCT
cana-2101	110	8	diagram	diagram	NOUN
cana-2101	110	9	,	,	PUNCT
cana-2101	110	10	etc	etc	X
cana-2101	110	11	.	.	X
cana-2101	110	12	communications	communication	NOUN
cana-2101	110	13	on	on	ADP
cana-2101	110	14	applied	apply	VERB
cana-2101	110	15	nonlinear	nonlinear	ADJ
cana-2101	110	16	analysis	analysis	NOUN
cana-2101	110	17	issn	issn	NOUN
cana-2101	110	18	:	:	PUNCT
cana-2101	110	19	1074	1074	NUM
cana-2101	110	20	-	-	PUNCT
cana-2101	110	21	133x	133x	NUM
cana-2101	110	22	vol	vol	NOUN
cana-2101	110	23	32	32	NUM
cana-2101	110	24	no	no	NOUN
cana-2101	110	25	.	.	PUNCT
cana-2101	111	1	1s	1s	NUM
cana-2101	111	2	(	(	PUNCT
cana-2101	111	3	2025	2025	NUM
cana-2101	111	4	)	)	PUNCT
cana-2101	111	5	59	59	NUM
cana-2101	111	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2101	111	7	the	the	DET
cana-2101	111	8	picture	picture	NOUN
cana-2101	111	9	is	be	AUX
cana-2101	111	10	called	call	VERB
cana-2101	111	11	viru-4-295-e7.jpg.where	viru-4-295-e7.jpg.where	PUNCT
cana-2101	112	1	s	s	VERB
cana-2101	112	2	is	be	AUX
cana-2101	112	3	the	the	DET
cana-2101	112	4	level	level	NOUN
cana-2101	112	5	of	of	ADP
cana-2101	112	6	occasional	occasional	ADJ
cana-2101	112	7	differencing	differencing	NOUN
cana-2101	112	8	that	that	PRON
cana-2101	112	9	creates	create	VERB
cana-2101	112	10	a	a	DET
cana-2101	112	11	progression	progression	NOUN
cana-2101	112	12	of	of	ADP
cana-2101	112	13	changes	change	NOUN
cana-2101	112	14	starting	start	VERB
cana-2101	112	15	with	with	ADP
cana-2101	112	16	one	one	NUM
cana-2101	112	17	season	season	NOUN
cana-2101	112	18	then	then	ADV
cana-2101	112	19	onto	onto	ADP
cana-2101	112	20	the	the	DET
cana-2101	112	21	next	next	NOUN
cana-2101	112	22	and	and	CCONJ
cana-2101	112	23	k	k	PROPN
cana-2101	112	24	is	be	AUX
cana-2101	112	25	the	the	DET
cana-2101	112	26	length	length	NOUN
cana-2101	112	27	of	of	ADP
cana-2101	112	28	the	the	DET
cana-2101	112	29	occasional	occasional	ADJ
cana-2101	112	30	cycle	cycle	NOUN
cana-2101	112	31	.	.	PUNCT
cana-2101	113	1	after	after	ADP
cana-2101	113	2	then	then	ADV
cana-2101	113	3	,	,	PUNCT
cana-2101	113	4	at	at	ADP
cana-2101	113	5	that	that	DET
cana-2101	113	6	point	point	NOUN
cana-2101	113	7	,	,	PUNCT
cana-2101	113	8	the	the	DET
cana-2101	113	9	time	time	NOUN
cana-2101	113	10	series	series	NOUN
cana-2101	113	11	is	be	AUX
cana-2101	113	12	separated	separate	VERB
cana-2101	113	13	into	into	ADP
cana-2101	113	14	two	two	NUM
cana-2101	113	15	sets	set	NOUN
cana-2101	113	16	:	:	PUNCT
cana-2101	113	17	a	a	DET
cana-2101	113	18	preparation	preparation	NOUN
cana-2101	113	19	set	set	NOUN
cana-2101	113	20	comprised	comprise	VERB
cana-2101	113	21	of	of	ADP
cana-2101	113	22	the	the	DET
cana-2101	113	23	times	times	PROPN
cana-2101	113	24	series	series	NOUN
cana-2101	113	25	and	and	CCONJ
cana-2101	113	26	a	a	DET
cana-2101	113	27	test	test	NOUN
cana-2101	113	28	(	(	PUNCT
cana-2101	113	29	approval	approval	NOUN
cana-2101	113	30	)	)	PUNCT
cana-2101	113	31	set	set	NOUN
cana-2101	113	32	comprised	comprise	VERB
cana-2101	113	33	of	of	ADP
cana-2101	113	34	the	the	DET
cana-2101	113	35	leftover	leftover	NOUN
cana-2101	113	36	information	information	NOUN
cana-2101	113	37	.	.	PUNCT
cana-2101	114	1	regularly	regularly	ADV
cana-2101	114	2	,	,	PUNCT
cana-2101	114	3	the	the	DET
cana-2101	114	4	akaike	akaike	ADJ
cana-2101	114	5	data	data	NOUN
cana-2101	114	6	criterion35	criterion35	NOUN
cana-2101	114	7	is	be	AUX
cana-2101	114	8	utilized	utilize	VERB
cana-2101	114	9	to	to	PART
cana-2101	114	10	decide	decide	VERB
cana-2101	114	11	the	the	DET
cana-2101	114	12	best	good	ADJ
cana-2101	114	13	model	model	NOUN
cana-2101	114	14	request	request	NOUN
cana-2101	114	15	by	by	ADP
cana-2101	114	16	finding	find	VERB
cana-2101	114	17	some	some	DET
cana-2101	114	18	kind	kind	NOUN
cana-2101	114	19	of	of	ADP
cana-2101	114	20	harmony	harmony	NOUN
cana-2101	114	21	between	between	ADP
cana-2101	114	22	the	the	DET
cana-2101	114	23	amount	amount	NOUN
cana-2101	114	24	of	of	ADP
cana-2101	114	25	boundaries	boundary	NOUN
cana-2101	114	26	and	and	CCONJ
cana-2101	114	27	decency	decency	NOUN
cana-2101	114	28	of	of	ADP
cana-2101	114	29	-	-	PUNCT
cana-2101	114	30	fit	fit	NOUN
cana-2101	114	31	.	.	PUNCT
cana-2101	115	1	then	then	ADV
cana-2101	115	2	,	,	PUNCT
cana-2101	115	3	the	the	DET
cana-2101	115	4	fitted	fit	VERB
cana-2101	115	5	model	model	NOUN
cana-2101	115	6	is	be	AUX
cana-2101	115	7	utilized	utilize	VERB
cana-2101	115	8	to	to	ADP
cana-2101	115	9	the	the	DET
cana-2101	115	10	disease	disease	NOUN
cana-2101	115	11	advancement	advancement	NOUN
cana-2101	115	12	anticipating	anticipating	NOUN
cana-2101	115	13	.	.	PUNCT
cana-2101	116	1	the	the	DET
cana-2101	116	2	primary	primary	ADJ
cana-2101	116	3	elements	element	NOUN
cana-2101	116	4	restricting	restrict	VERB
cana-2101	116	5	the	the	DET
cana-2101	116	6	unwavering	unwavering	ADJ
cana-2101	116	7	quality	quality	NOUN
cana-2101	116	8	of	of	ADP
cana-2101	116	9	these	these	DET
cana-2101	116	10	strategies	strategy	NOUN
cana-2101	116	11	are	be	AUX
cana-2101	116	12	(	(	PUNCT
cana-2101	116	13	1	1	NUM
cana-2101	116	14	)	)	PUNCT
cana-2101	116	15	factual	factual	ADJ
cana-2101	116	16	vulnerability	vulnerability	NOUN
cana-2101	116	17	in	in	ADP
cana-2101	116	18	assessing	assess	VERB
cana-2101	116	19	the	the	DET
cana-2101	116	20	upsides	upside	NOUN
cana-2101	116	21	of	of	ADP
cana-2101	116	22	obscure	obscure	ADJ
cana-2101	116	23	boundaries	boundary	NOUN
cana-2101	116	24	and	and	CCONJ
cana-2101	116	25	(	(	PUNCT
cana-2101	116	26	2	2	X
cana-2101	116	27	)	)	PUNCT
cana-2101	116	28	guesses	guess	NOUN
cana-2101	116	29	concerning	concern	VERB
cana-2101	116	30	the	the	DET
cana-2101	116	31	measurable	measurable	ADJ
cana-2101	116	32	attributes	attribute	NOUN
cana-2101	116	33	of	of	ADP
cana-2101	116	34	the	the	DET
cana-2101	116	35	related	relate	VERB
cana-2101	116	36	time	time	NOUN
cana-2101	116	37	series	series	NOUN
cana-2101	116	38	.	.	PUNCT
cana-2101	117	1	statistical	statistical	ADJ
cana-2101	117	2	process	process	NOUN
cana-2101	117	3	control	control	NOUN
cana-2101	117	4	techniques	technique	NOUN
cana-2101	117	5	include	include	AUX
cana-2101	117	6	exponentially	exponentially	ADV
cana-2101	117	7	weighted	weight	VERB
cana-2101	117	8	moving	move	VERB
cana-2101	117	9	average	average	ADJ
cana-2101	117	10	(	(	PUNCT
cana-2101	117	11	ewma)42,43	ewma)42,43	NOUN
cana-2101	117	12	-	-	PUNCT
cana-2101	117	13	based	base	VERB
cana-2101	117	14	approaches	approach	NOUN
cana-2101	117	15	and	and	CCONJ
cana-2101	117	16	cumulative	cumulative	ADJ
cana-2101	117	17	sum	sum	NOUN
cana-2101	117	18	(	(	PUNCT
cana-2101	117	19	cusum	cusum	NOUN
cana-2101	117	20	)	)	PUNCT
cana-2101	117	21	charts	chart	NOUN
cana-2101	117	22	.	.	PUNCT
cana-2101	118	1	likely	likely	ADV
cana-2101	118	2	the	the	DET
cana-2101	118	3	most	most	ADV
cana-2101	118	4	broadly	broadly	ADV
cana-2101	118	5	used	use	VERB
cana-2101	118	6	strategy	strategy	NOUN
cana-2101	118	7	for	for	ADP
cana-2101	118	8	recognizing	recognize	VERB
cana-2101	118	9	sickness	sickness	NOUN
cana-2101	118	10	episodes	episode	NOUN
cana-2101	118	11	is	be	AUX
cana-2101	118	12	cusum	cusum	ADJ
cana-2101	118	13	.	.	PUNCT
cana-2101	119	1	by	by	ADP
cana-2101	119	2	following	follow	VERB
cana-2101	119	3	a	a	DET
cana-2101	119	4	combined	combine	VERB
cana-2101	119	5	execution	execution	NOUN
cana-2101	119	6	metric	metric	ADJ
cana-2101	119	7	over	over	ADP
cana-2101	119	8	the	the	DET
cana-2101	119	9	long	long	ADJ
cana-2101	119	10	haul	haul	NOUN
cana-2101	119	11	,	,	PUNCT
cana-2101	119	12	this	this	PRON
cana-2101	119	13	is	be	AUX
cana-2101	119	14	achieved	achieve	VERB
cana-2101	119	15	.	.	PUNCT
cana-2101	120	1	presently	presently	ADV
cana-2101	120	2	,	,	PUNCT
cana-2101	120	3	how	how	SCONJ
cana-2101	120	4	about	about	SCONJ
cana-2101	120	5	we	we	PRON
cana-2101	120	6	take	take	VERB
cana-2101	120	7	a	a	DET
cana-2101	120	8	gander	gander	NOUN
cana-2101	120	9	at	at	ADP
cana-2101	120	10	the	the	DET
cana-2101	120	11	quantity	quantity	NOUN
cana-2101	120	12	of	of	ADP
cana-2101	120	13	tainted	tainted	ADJ
cana-2101	120	14	cases	case	NOUN
cana-2101	120	15	(	(	PUNCT
cana-2101	120	16	y(ti	y(ti	NOUN
cana-2101	120	17	)	)	PUNCT
cana-2101	120	18	)	)	PUNCT
cana-2101	120	19	that	that	PRON
cana-2101	120	20	were	be	AUX
cana-2101	120	21	seen	see	VERB
cana-2101	120	22	at	at	ADP
cana-2101	120	23	different	different	ADJ
cana-2101	120	24	moments	moment	NOUN
cana-2101	120	25	(	(	PUNCT
cana-2101	120	26	ti	ti	X
cana-2101	120	27	,	,	PUNCT
cana-2101	120	28	i	i	NOUN
cana-2101	120	29	=	=	NOUN
cana-2101	120	30	1	1	NUM
cana-2101	120	31	,	,	PUNCT
cana-2101	120	32	2	2	NUM
cana-2101	120	33	,	,	PUNCT
cana-2101	120	34	...	...	PUNCT
cana-2101	120	35	n	n	CCONJ
cana-2101	120	36	)	)	PUNCT
cana-2101	120	37	.	.	PUNCT
cana-2101	121	1	for	for	ADP
cana-2101	121	2	a	a	DET
cana-2101	121	3	cycle	cycle	NOUN
cana-2101	121	4	with	with	ADP
cana-2101	121	5	a	a	DET
cana-2101	121	6	solitary	solitary	ADJ
cana-2101	121	7	boundary	boundary	NOUN
cana-2101	121	8	,	,	PUNCT
cana-2101	121	9	cusum	cusum	PROPN
cana-2101	121	10	can	can	AUX
cana-2101	121	11	be	be	AUX
cana-2101	121	12	just	just	ADV
cana-2101	121	13	communicated	communicate	VERB
cana-2101	121	14	as	as	ADP
cana-2101	121	15	or	or	CCONJ
cana-2101	121	16	on	on	ADP
cana-2101	121	17	the	the	DET
cana-2101	121	18	other	other	ADJ
cana-2101	121	19	hand	hand	NOUN
cana-2101	121	20	as	as	ADP
cana-2101	121	21	a	a	DET
cana-2101	121	22	recursive	recursive	NOUN
cana-2101	121	23	where	where	SCONJ
cana-2101	121	24	the	the	DET
cana-2101	121	25	distinction	distinction	NOUN
cana-2101	121	26	between	between	ADP
cana-2101	121	27	the	the	DET
cana-2101	121	28	in	in	ADP
cana-2101	121	29	-	-	PUNCT
cana-2101	121	30	charge	charge	NOUN
cana-2101	121	31	and	and	CCONJ
cana-2101	121	32	crazy	crazy	ADJ
cana-2101	121	33	means	mean	NOUN
cana-2101	121	34	is	be	AUX
cana-2101	121	35	addressed	address	VERB
cana-2101	121	36	by	by	ADP
cana-2101	121	37	the	the	DET
cana-2101	121	38	reference	reference	NOUN
cana-2101	121	39	esteem	esteem	NOUN
cana-2101	121	40	k.	k.	PROPN
cana-2101	122	1	if	if	SCONJ
cana-2101	122	2	cusum(i	cusum(i	PROPN
cana-2101	122	3	)	)	PUNCT
cana-2101	122	4	<	<	X
cana-2101	122	5	h	h	NOUN
cana-2101	122	6	,	,	PUNCT
cana-2101	122	7	where	where	SCONJ
cana-2101	122	8	h	h	NOUN
cana-2101	122	9	is	be	AUX
cana-2101	122	10	a	a	DET
cana-2101	122	11	limit	limit	NOUN
cana-2101	122	12	(	(	PUNCT
cana-2101	122	13	frequently	frequently	ADV
cana-2101	122	14	multiple	multiple	ADJ
cana-2101	122	15	times	time	NOUN
cana-2101	122	16	the	the	DET
cana-2101	122	17	standard	standard	ADJ
cana-2101	122	18	deviation	deviation	NOUN
cana-2101	122	19	from	from	ADP
cana-2101	122	20	the	the	DET
cana-2101	122	21	pattern	pattern	NOUN
cana-2101	122	22	/	/	SYM
cana-2101	122	23	mean	mean	NOUN
cana-2101	122	24	worth	worth	NOUN
cana-2101	122	25	of	of	ADP
cana-2101	122	26	in	in	ADP
cana-2101	122	27	-	-	PUNCT
cana-2101	122	28	control	control	NOUN
cana-2101	122	29	perceptions	perception	NOUN
cana-2101	122	30	)	)	PUNCT
cana-2101	122	31	,	,	PUNCT
cana-2101	122	32	then	then	ADV
cana-2101	122	33	the	the	DET
cana-2101	122	34	cycle	cycle	NOUN
cana-2101	122	35	is	be	AUX
cana-2101	122	36	considered	consider	VERB
cana-2101	122	37	to	to	PART
cana-2101	122	38	be	be	AUX
cana-2101	122	39	taken	take	VERB
cana-2101	122	40	care	care	NOUN
cana-2101	122	41	of	of	ADP
cana-2101	122	42	.	.	PUNCT
cana-2101	123	1	assuming	assume	VERB
cana-2101	123	2	cusum(i	cusum(i	NOUN
cana-2101	123	3	)	)	PUNCT
cana-2101	123	4	is	be	AUX
cana-2101	123	5	more	more	ADJ
cana-2101	123	6	than	than	ADP
cana-2101	123	7	h	h	NOUN
cana-2101	123	8	,	,	PUNCT
cana-2101	123	9	an	an	DET
cana-2101	123	10	interaction	interaction	NOUN
cana-2101	123	11	caution	caution	NOUN
cana-2101	123	12	is	be	AUX
cana-2101	123	13	set	set	VERB
cana-2101	123	14	off	off	ADP
cana-2101	123	15	at	at	ADP
cana-2101	123	16	time	time	NOUN
cana-2101	123	17	ti	ti	NOUN
cana-2101	123	18	;	;	PUNCT
cana-2101	123	19	this	this	PRON
cana-2101	123	20	demonstrates	demonstrate	VERB
cana-2101	123	21	that	that	SCONJ
cana-2101	123	22	the	the	DET
cana-2101	123	23	cycle	cycle	NOUN
cana-2101	123	24	is	be	AUX
cana-2101	123	25	wild	wild	ADJ
cana-2101	123	26	.	.	PUNCT
cana-2101	124	1	the	the	DET
cana-2101	124	2	methodologies	methodology	NOUN
cana-2101	124	3	in	in	ADP
cana-2101	124	4	view	view	NOUN
cana-2101	124	5	of	of	ADP
cana-2101	124	6	probability	probability	NOUN
cana-2101	124	7	proportions	proportion	NOUN
cana-2101	124	8	are	be	AUX
cana-2101	124	9	utilized	utilize	VERB
cana-2101	124	10	to	to	PART
cana-2101	124	11	decide	decide	VERB
cana-2101	124	12	the	the	DET
cana-2101	124	13	reference	reference	NOUN
cana-2101	124	14	esteem	esteem	VERB
cana-2101	124	15	k.44	k.44	X
cana-2101	124	16	-	-	PUNCT
cana-2101	124	17	49	49	NUM
cana-2101	124	18	accordingly	accordingly	ADV
cana-2101	124	19	,	,	PUNCT
cana-2101	124	20	the	the	DET
cana-2101	124	21	reference	reference	NOUN
cana-2101	124	22	esteem	esteem	NOUN
cana-2101	124	23	is	be	AUX
cana-2101	124	24	as	as	ADP
cana-2101	124	25	per	per	ADP
cana-2101	124	26	the	the	DET
cana-2101	124	27	following	following	NOUN
cana-2101	124	28	,	,	PUNCT
cana-2101	124	29	meaning	meaning	NOUN
cana-2101	124	30	by	by	ADP
cana-2101	124	31	f(μ0	f(μ0	NOUN
cana-2101	124	32	)	)	PUNCT
cana-2101	124	33	and	and	CCONJ
cana-2101	124	34	f(μ1	f(μ1	PROPN
cana-2101	124	35	)	)	PUNCT
cana-2101	124	36	the	the	DET
cana-2101	124	37	likelihood	likelihood	NOUN
cana-2101	124	38	capability	capability	NOUN
cana-2101	124	39	of	of	ADP
cana-2101	124	40	the	the	DET
cana-2101	124	41	in	in	ADP
cana-2101	124	42	-	-	PUNCT
cana-2101	124	43	charge	charge	NOUN
cana-2101	124	44	and	and	CCONJ
cana-2101	124	45	crazy	crazy	ADJ
cana-2101	124	46	cycles	cycle	NOUN
cana-2101	124	47	with	with	ADP
cana-2101	124	48	boundaries	boundary	NOUN
cana-2101	124	49	μ0	μ0	PROPN
cana-2101	124	50	and	and	CCONJ
cana-2101	124	51	μ1	μ1	NOUN
cana-2101	124	52	,	,	PUNCT
cana-2101	124	53	separately	separately	ADV
cana-2101	124	54	:	:	PUNCT
cana-2101	124	55	information	information	NOUN
cana-2101	124	56	from	from	ADP
cana-2101	124	57	past	past	ADJ
cana-2101	124	58	periods	period	NOUN
cana-2101	124	59	can	can	AUX
cana-2101	124	60	be	be	AUX
cana-2101	124	61	utilized	utilize	VERB
cana-2101	124	62	to	to	PART
cana-2101	124	63	gauge	gauge	VERB
cana-2101	124	64	the	the	DET
cana-2101	124	65	likelihood	likelihood	NOUN
cana-2101	124	66	capabilities	capability	NOUN
cana-2101	124	67	f(θ0	f(θ0	NOUN
cana-2101	124	68	)	)	PUNCT
cana-2101	124	69	and	and	CCONJ
cana-2101	124	70	f(θ1	f(θ1	X
cana-2101	124	71	)	)	PUNCT
cana-2101	124	72	as	as	ADV
cana-2101	124	73	well	well	ADV
cana-2101	124	74	as	as	ADP
cana-2101	124	75	their	their	PRON
cana-2101	124	76	boundaries	boundary	NOUN
cana-2101	124	77	.	.	PUNCT
cana-2101	125	1	the	the	DET
cana-2101	125	2	relationship	relationship	NOUN
cana-2101	125	3	above	above	ADV
cana-2101	125	4	for	for	ADP
cana-2101	125	5	poisson	poisson	NOUN
cana-2101	125	6	circulations	circulation	NOUN
cana-2101	125	7	is	be	AUX
cana-2101	125	8	as	as	ADP
cana-2101	125	9	per	per	ADP
cana-2101	125	10	the	the	DET
cana-2101	125	11	following	following	NOUN
cana-2101	125	12	:	:	PUNCT
cana-2101	125	13	where	where	SCONJ
cana-2101	125	14	the	the	DET
cana-2101	125	15	in	in	ADP
cana-2101	125	16	-	-	PUNCT
cana-2101	125	17	charge	charge	NOUN
cana-2101	125	18	and	and	CCONJ
cana-2101	125	19	wild	wild	ADJ
cana-2101	125	20	poisson	poisson	NOUN
cana-2101	125	21	appropriations	appropriation	NOUN
cana-2101	125	22	'	'	PART
cana-2101	125	23	mean	mean	ADJ
cana-2101	125	24	qualities	quality	NOUN
cana-2101	125	25	are	be	AUX
cana-2101	125	26	signified	signify	VERB
cana-2101	125	27	by	by	ADP
cana-2101	125	28	μ0	μ0	PROPN
cana-2101	125	29	and	and	CCONJ
cana-2101	125	30	μ1	μ1	NOUN
cana-2101	125	31	,	,	PUNCT
cana-2101	125	32	separately	separately	ADV
cana-2101	125	33	.	.	PUNCT
cana-2101	126	1	communications	communication	NOUN
cana-2101	126	2	on	on	ADP
cana-2101	126	3	applied	apply	VERB
cana-2101	126	4	nonlinear	nonlinear	ADJ
cana-2101	126	5	analysis	analysis	NOUN
cana-2101	126	6	issn	issn	NOUN
cana-2101	126	7	:	:	PUNCT
cana-2101	126	8	1074	1074	NUM
cana-2101	126	9	-	-	PUNCT
cana-2101	126	10	133x	133x	NUM
cana-2101	126	11	vol	vol	NOUN
cana-2101	126	12	32	32	NUM
cana-2101	126	13	no	no	NOUN
cana-2101	126	14	.	.	PUNCT
cana-2101	127	1	1s	1s	NUM
cana-2101	127	2	(	(	PUNCT
cana-2101	127	3	2025	2025	NUM
cana-2101	127	4	)	)	PUNCT
cana-2101	127	5	60	60	NUM
cana-2101	127	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2101	127	7	4	4	NUM
cana-2101	127	8	.	.	PUNCT
cana-2101	127	9	state	state	NOUN
cana-2101	127	10	-	-	PUNCT
cana-2101	127	11	space	space	NOUN
cana-2101	127	12	models	model	NOUN
cana-2101	127	13	in	in	ADP
cana-2101	127	14	mathematics	mathematic	NOUN
cana-2101	127	15	and	and	CCONJ
cana-2101	127	16	mechanics	mechanic	NOUN
cana-2101	127	17	mathematical	mathematical	ADJ
cana-2101	127	18	models	model	NOUN
cana-2101	127	19	fall	fall	VERB
cana-2101	127	20	into	into	ADP
cana-2101	127	21	one	one	NUM
cana-2101	127	22	of	of	ADP
cana-2101	127	23	the	the	DET
cana-2101	127	24	following	follow	VERB
cana-2101	127	25	types	type	NOUN
cana-2101	127	26	based	base	VERB
cana-2101	127	27	on	on	ADP
cana-2101	127	28	how	how	SCONJ
cana-2101	127	29	closely	closely	ADV
cana-2101	127	30	they	they	PRON
cana-2101	127	31	approximate	approximate	VERB
cana-2101	127	32	reality	reality	NOUN
cana-2101	127	33	and	and	CCONJ
cana-2101	127	34	how	how	SCONJ
cana-2101	127	35	complicated	complicated	ADJ
cana-2101	127	36	they	they	PRON
cana-2101	127	37	get	get	VERB
cana-2101	127	38	.	.	PUNCT
cana-2101	128	1	4.1	4.1	NUM
cana-2101	128	2	differential	differential	NOUN
cana-2101	128	3	and/or	and/or	CCONJ
cana-2101	128	4	(	(	PUNCT
cana-2101	128	5	integro)-partial	integro)-partial	ADJ
cana-2101	128	6	differential	differential	ADJ
cana-2101	128	7	equations	equation	NOUN
cana-2101	128	8	are	be	AUX
cana-2101	128	9	"	"	PUNCT
cana-2101	128	10	continuum	continuum	ADJ
cana-2101	128	11	"	"	PUNCT
cana-2101	128	12	models	model	NOUN
cana-2101	128	13	.	.	PUNCT
cana-2101	129	1	the	the	DET
cana-2101	129	2	population	population	NOUN
cana-2101	129	3	's	's	PART
cana-2101	129	4	coarse	coarse	NOUN
cana-2101	129	5	-	-	PUNCT
cana-2101	129	6	grained	grain	VERB
cana-2101	129	7	dynamics	dynamic	NOUN
cana-2101	129	8	of	of	ADP
cana-2101	129	9	the	the	DET
cana-2101	129	10	epidemics	epidemic	NOUN
cana-2101	129	11	are	be	AUX
cana-2101	129	12	described	describe	VERB
cana-2101	129	13	by	by	ADP
cana-2101	129	14	continuum	continuum	ADJ
cana-2101	129	15	models.87–90	models.87–90	NOUN
cana-2101	129	16	for	for	ADP
cana-2101	129	17	instance	instance	NOUN
cana-2101	129	18	,	,	PUNCT
cana-2101	129	19	one	one	PRON
cana-2101	129	20	may	may	AUX
cana-2101	129	21	research	research	VERB
cana-2101	129	22	a	a	DET
cana-2101	129	23	model	model	NOUN
cana-2101	129	24	for	for	ADP
cana-2101	129	25	how	how	SCONJ
cana-2101	129	26	the	the	DET
cana-2101	129	27	illness	illness	NOUN
cana-2101	129	28	has	have	AUX
cana-2101	129	29	changed	change	VERB
cana-2101	129	30	over	over	ADP
cana-2101	129	31	time	time	NOUN
cana-2101	129	32	in	in	ADP
cana-2101	129	33	relation	relation	NOUN
cana-2101	129	34	to	to	ADP
cana-2101	129	35	age	age	NOUN
cana-2101	129	36	and	and	CCONJ
cana-2101	129	37	immunization	immunization	NOUN
cana-2101	129	38	history.91,92	history.91,92	NOUN
cana-2101	129	39	or	or	CCONJ
cana-2101	129	40	look	look	VERB
cana-2101	129	41	into	into	ADP
cana-2101	129	42	the	the	DET
cana-2101	129	43	effects	effect	NOUN
cana-2101	129	44	of	of	ADP
cana-2101	129	45	isolating	isolate	VERB
cana-2101	129	46	or	or	CCONJ
cana-2101	129	47	quarantining	quarantine	VERB
cana-2101	129	48	the	the	DET
cana-2101	129	49	afflicted	afflict	VERB
cana-2101	129	50	portion	portion	NOUN
cana-2101	129	51	of	of	ADP
cana-2101	129	52	the	the	DET
cana-2101	129	53	community.93,94	community.93,94	ADJ
cana-2101	129	54	robust	robust	ADJ
cana-2101	129	55	analysis	analysis	NOUN
cana-2101	129	56	techniques	technique	NOUN
cana-2101	129	57	for	for	ADP
cana-2101	129	58	ordinary	ordinary	ADJ
cana-2101	129	59	or	or	CCONJ
cana-2101	129	60	partial	partial	ADJ
cana-2101	129	61	differential	differential	ADJ
cana-2101	129	62	equations	equation	NOUN
cana-2101	129	63	can	can	AUX
cana-2101	129	64	be	be	AUX
cana-2101	129	65	applied	apply	VERB
cana-2101	129	66	to	to	PART
cana-2101	129	67	investigate	investigate	VERB
cana-2101	129	68	such	such	ADJ
cana-2101	129	69	models	model	NOUN
cana-2101	129	70	.	.	PUNCT
cana-2101	130	1	however	however	ADV
cana-2101	130	2	,	,	PUNCT
cana-2101	130	3	the	the	DET
cana-2101	130	4	majority	majority	NOUN
cana-2101	130	5	of	of	ADP
cana-2101	130	6	continuum	continuum	ADJ
cana-2101	130	7	models	model	NOUN
cana-2101	130	8	that	that	PRON
cana-2101	130	9	are	be	AUX
cana-2101	130	10	currently	currently	ADV
cana-2101	130	11	available	available	ADJ
cana-2101	130	12	are	be	AUX
cana-2101	130	13	frequently	frequently	ADV
cana-2101	130	14	simply	simply	ADV
cana-2101	130	15	qualitative	qualitative	ADJ
cana-2101	130	16	caricatures	caricature	NOUN
cana-2101	130	17	that	that	PRON
cana-2101	130	18	can	can	AUX
cana-2101	130	19	not	not	PART
cana-2101	130	20	capture	capture	VERB
cana-2101	130	21	all	all	PRON
cana-2101	130	22	of	of	ADP
cana-2101	130	23	the	the	DET
cana-2101	130	24	features	feature	NOUN
cana-2101	130	25	,	,	PUNCT
cana-2101	130	26	which	which	PRON
cana-2101	130	27	compromises	compromise	VERB
cana-2101	130	28	epidemiological	epidemiological	ADJ
cana-2101	130	29	realism	realism	NOUN
cana-2101	130	30	due	due	ADP
cana-2101	130	31	to	to	ADP
cana-2101	130	32	the	the	DET
cana-2101	130	33	complexity	complexity	NOUN
cana-2101	130	34	and	and	CCONJ
cana-2101	130	35	stochasticity	stochasticity	NOUN
cana-2101	130	36	of	of	ADP
cana-2101	130	37	the	the	DET
cana-2101	130	38	phenomenon	phenomenon	NOUN
cana-2101	130	39	.	.	PUNCT
cana-2101	131	1	according	accord	VERB
cana-2101	131	2	to	to	ADP
cana-2101	131	3	their	their	PRON
cana-2101	131	4	current	current	ADJ
cana-2101	131	5	health	health	NOUN
cana-2101	131	6	,	,	PUNCT
cana-2101	131	7	the	the	DET
cana-2101	131	8	population	population	NOUN
cana-2101	131	9	is	be	AUX
cana-2101	131	10	separated	separate	VERB
cana-2101	131	11	into	into	ADP
cana-2101	131	12	compartments	compartment	NOUN
cana-2101	131	13	within	within	ADP
cana-2101	131	14	this	this	DET
cana-2101	131	15	framework	framework	NOUN
cana-2101	131	16	,	,	PUNCT
cana-2101	131	17	such	such	ADJ
cana-2101	131	18	as	as	ADP
cana-2101	131	19	susceptible	susceptible	ADJ
cana-2101	131	20	(	(	PUNCT
cana-2101	131	21	s	s	NOUN
cana-2101	131	22	)	)	PUNCT
cana-2101	131	23	,	,	PUNCT
cana-2101	131	24	infected	infect	VERB
cana-2101	131	25	(	(	PUNCT
cana-2101	131	26	i	i	NOUN
cana-2101	131	27	)	)	PUNCT
cana-2101	131	28	,	,	PUNCT
cana-2101	131	29	and	and	CCONJ
cana-2101	131	30	recovered	recover	VERB
cana-2101	131	31	(	(	PUNCT
cana-2101	131	32	r	r	NOUN
cana-2101	131	33	)	)	PUNCT
cana-2101	131	34	.	.	PUNCT
cana-2101	132	1	other	other	ADJ
cana-2101	132	2	population	population	NOUN
cana-2101	132	3	statuses	status	NOUN
cana-2101	132	4	like	like	ADP
cana-2101	132	5	vaccinated	vaccinate	VERB
cana-2101	132	6	(	(	PUNCT
cana-2101	132	7	v	v	NOUN
cana-2101	132	8	)	)	PUNCT
cana-2101	132	9	and	and	CCONJ
cana-2101	132	10	quarantined	quarantine	VERB
cana-2101	132	11	(	(	PUNCT
cana-2101	132	12	q	q	NOUN
cana-2101	132	13	)	)	PUNCT
cana-2101	132	14	,	,	PUNCT
cana-2101	132	15	which	which	PRON
cana-2101	132	16	are	be	AUX
cana-2101	132	17	associated	associate	VERB
cana-2101	132	18	with	with	ADP
cana-2101	132	19	control	control	NOUN
cana-2101	132	20	programs	program	NOUN
cana-2101	132	21	,	,	PUNCT
cana-2101	132	22	are	be	AUX
cana-2101	132	23	also	also	ADV
cana-2101	132	24	employed	employ	VERB
cana-2101	132	25	.	.	PUNCT
cana-2101	133	1	these	these	DET
cana-2101	133	2	models	model	NOUN
cana-2101	133	3	are	be	AUX
cana-2101	133	4	based	base	VERB
cana-2101	133	5	on	on	ADP
cana-2101	133	6	the	the	DET
cana-2101	133	7	compartmental	compartmental	NOUN
cana-2101	133	8	sir	sir	PROPN
cana-2101	133	9	mass	mass	ADJ
cana-2101	133	10	-	-	PUNCT
cana-2101	133	11	action	action	NOUN
cana-2101	133	12	model	model	NOUN
cana-2101	133	13	of	of	ADP
cana-2101	133	14	kermack	kermack	NOUN
cana-2101	133	15	and	and	CCONJ
cana-2101	133	16	mckendrick	mckendrick	NOUN
cana-2101	133	17	(	(	PUNCT
cana-2101	133	18	1922	1922	NUM
cana-2101	133	19	)	)	PUNCT
cana-2101	133	20	.	.	PUNCT
cana-2101	134	1	it	it	PRON
cana-2101	134	2	is	be	AUX
cana-2101	134	3	assumed	assume	VERB
cana-2101	134	4	in	in	ADP
cana-2101	134	5	this	this	DET
cana-2101	134	6	form	form	NOUN
cana-2101	134	7	that	that	SCONJ
cana-2101	134	8	an	an	DET
cana-2101	134	9	infected	infected	ADJ
cana-2101	134	10	person	person	NOUN
cana-2101	134	11	has	have	VERB
cana-2101	134	12	a	a	DET
cana-2101	134	13	probability	probability	NOUN
cana-2101	134	14	of	of	ADP
cana-2101	134	15	ps→i	ps→i	NOUN
cana-2101	134	16	to	to	PART
cana-2101	134	17	infect	infect	VERB
cana-2101	134	18	a	a	DET
cana-2101	134	19	susceptible	susceptible	ADJ
cana-2101	134	20	,	,	PUNCT
cana-2101	134	21	and	and	CCONJ
cana-2101	134	22	that	that	SCONJ
cana-2101	134	23	a	a	DET
cana-2101	134	24	probability	probability	NOUN
cana-2101	134	25	of	of	ADP
cana-2101	134	26	pi→r	pi→r	PROPN
cana-2101	134	27	indicates	indicate	VERB
cana-2101	134	28	that	that	SCONJ
cana-2101	134	29	an	an	DET
cana-2101	134	30	infected	infected	ADJ
cana-2101	134	31	person	person	NOUN
cana-2101	134	32	recovers.the	recovers.the	PRON
cana-2101	134	33	following	follow	VERB
cana-2101	134	34	three	three	NUM
cana-2101	134	35	ordinary	ordinary	ADJ
cana-2101	134	36	differential	differential	ADJ
cana-2101	134	37	equations	equation	NOUN
cana-2101	134	38	can	can	AUX
cana-2101	134	39	be	be	AUX
cana-2101	134	40	used	use	VERB
cana-2101	134	41	to	to	PART
cana-2101	134	42	approximate	approximate	VERB
cana-2101	134	43	the	the	DET
cana-2101	134	44	dynamics	dynamic	NOUN
cana-2101	134	45	of	of	ADP
cana-2101	134	46	the	the	DET
cana-2101	134	47	system	system	NOUN
cana-2101	134	48	under	under	ADP
cana-2101	134	49	the	the	DET
cana-2101	134	50	mass	mass	ADJ
cana-2101	134	51	-	-	PUNCT
cana-2101	134	52	balance	balance	NOUN
cana-2101	134	53	framework	framework	NOUN
cana-2101	134	54	.	.	PUNCT
cana-2101	135	1	where	where	SCONJ
cana-2101	135	2	pt(a	pt(a	NOUN
cana-2101	135	3	,	,	PUNCT
cana-2101	135	4	b	b	NOUN
cana-2101	135	5	)	)	PUNCT
cana-2101	135	6	is	be	AUX
cana-2101	135	7	the	the	DET
cana-2101	135	8	pair	pair	NOUN
cana-2101	135	9	joint	joint	ADJ
cana-2101	135	10	likelihood	likelihood	NOUN
cana-2101	135	11	to	to	PART
cana-2101	135	12	have	have	VERB
cana-2101	135	13	states	state	NOUN
cana-2101	135	14	an	an	DET
cana-2101	135	15	and	and	CCONJ
cana-2101	135	16	b	b	NOUN
cana-2101	135	17	conveying	conveying	NOUN
cana-2101	135	18	at	at	ADP
cana-2101	135	19	time	time	NOUN
cana-2101	135	20	t	t	PROPN
cana-2101	135	21	;	;	PUNCT
cana-2101	135	22	n(s	n(s	NUM
cana-2101	135	23	)	)	PUNCT
cana-2101	135	24	demonstrates	demonstrate	VERB
cana-2101	135	25	the	the	DET
cana-2101	135	26	arrangement	arrangement	NOUN
cana-2101	135	27	of	of	ADP
cana-2101	135	28	connections	connection	NOUN
cana-2101	135	29	of	of	ADP
cana-2101	135	30	a	a	DET
cana-2101	135	31	powerless	powerless	ADJ
cana-2101	135	32	individual	individual	NOUN
cana-2101	135	33	;	;	PUNCT
cana-2101	135	34	and	and	CCONJ
cana-2101	135	35	pt({s	pt({s	NOUN
cana-2101	135	36	,	,	PUNCT
cana-2101	135	37	i	i	PRON
cana-2101	135	38	,	,	PUNCT
cana-2101	135	39	r	r	NOUN
cana-2101	135	40	}	}	PUNCT
cana-2101	135	41	)	)	PUNCT
cana-2101	135	42	shows	show	VERB
cana-2101	135	43	the	the	DET
cana-2101	135	44	opportunity	opportunity	NOUN
cana-2101	135	45	that	that	SCONJ
cana-2101	135	46	an	an	DET
cana-2101	135	47	individual	individual	NOUN
cana-2101	135	48	is	be	AUX
cana-2101	135	49	on	on	ADP
cana-2101	135	50	one	one	NUM
cana-2101	135	51	of	of	ADP
cana-2101	135	52	the	the	DET
cana-2101	135	53	states	state	NOUN
cana-2101	135	54	{	{	PUNCT
cana-2101	135	55	s	s	PROPN
cana-2101	135	56	,	,	PUNCT
cana-2101	135	57	i	i	PRON
cana-2101	135	58	,	,	PUNCT
cana-2101	135	59	r	r	NOUN
cana-2101	135	60	}	}	PUNCT
cana-2101	135	61	at	at	ADP
cana-2101	135	62	time	time	NOUN
cana-2101	135	63	t.	t.	PROPN
cana-2101	135	64	there	there	PRON
cana-2101	135	65	is	be	VERB
cana-2101	135	66	definitely	definitely	ADV
cana-2101	135	67	not	not	PART
cana-2101	135	68	a	a	DET
cana-2101	135	69	shut	shut	NOUN
cana-2101	135	70	structure	structure	NOUN
cana-2101	135	71	for	for	ADP
cana-2101	135	72	the	the	DET
cana-2101	135	73	situations	situation	NOUN
cana-2101	135	74	above	above	ADV
cana-2101	135	75	.	.	PUNCT
cana-2101	136	1	pt(s	pt(s	PROPN
cana-2101	136	2	,	,	PUNCT
cana-2101	136	3	i	i	NOUN
cana-2101	136	4	)	)	PUNCT
cana-2101	136	5	=	=	PUNCT
cana-2101	137	1	pt(s)pt(i	pt(s)pt(i	PROPN
cana-2101	137	2	)	)	PUNCT
cana-2101	137	3	,	,	PUNCT
cana-2101	137	4	accepting	accept	VERB
cana-2101	137	5	markovian	markovian	ADJ
cana-2101	137	6	way	way	NOUN
cana-2101	137	7	of	of	ADP
cana-2101	137	8	behaving	behave	VERB
cana-2101	137	9	of	of	ADP
cana-2101	137	10	the	the	DET
cana-2101	137	11	basic	basic	ADJ
cana-2101	137	12	cycle	cycle	NOUN
cana-2101	137	13	.	.	PUNCT
cana-2101	138	1	the	the	DET
cana-2101	138	2	probabilities	probability	NOUN
cana-2101	138	3	are	be	AUX
cana-2101	138	4	identical	identical	ADJ
cana-2101	138	5	to	to	ADP
cana-2101	138	6	the	the	DET
cana-2101	138	7	normal	normal	ADJ
cana-2101	138	8	(	(	PUNCT
cana-2101	138	9	mean	mean	ADJ
cana-2101	138	10	)	)	PUNCT
cana-2101	138	11	upsides	upside	NOUN
cana-2101	138	12	of	of	ADP
cana-2101	138	13	the	the	DET
cana-2101	138	14	related	related	ADJ
cana-2101	138	15	factors	factor	NOUN
cana-2101	138	16	in	in	ADP
cana-2101	138	17	the	the	DET
cana-2101	138	18	populace	populace	NOUN
cana-2101	138	19	under	under	ADP
cana-2101	138	20	the	the	DET
cana-2101	138	21	mean	mean	ADJ
cana-2101	138	22	field	field	NOUN
cana-2101	138	23	guess	guess	NOUN
cana-2101	138	24	,	,	PUNCT
cana-2101	138	25	which	which	PRON
cana-2101	138	26	expects	expect	VERB
cana-2101	138	27	that	that	SCONJ
cana-2101	138	28	the	the	DET
cana-2101	138	29	populace	populace	NOUN
cana-2101	138	30	is	be	AUX
cana-2101	138	31	impeccably	impeccably	ADV
cana-2101	138	32	blended	blend	VERB
cana-2101	138	33	and	and	CCONJ
cana-2101	138	34	that	that	SCONJ
cana-2101	138	35	everybody	everybody	PRON
cana-2101	138	36	helpless	helpless	ADJ
cana-2101	138	37	has	have	VERB
cana-2101	138	38	a	a	DET
cana-2101	138	39	similar	similar	ADJ
cana-2101	138	40	probability	probability	NOUN
cana-2101	138	41	of	of	ADP
cana-2101	138	42	getting	get	VERB
cana-2101	138	43	the	the	DET
cana-2101	138	44	disease	disease	NOUN
cana-2101	138	45	.	.	PUNCT
cana-2101	139	1	the	the	DET
cana-2101	139	2	accompanying	accompany	VERB
cana-2101	139	3	arrangement	arrangement	NOUN
cana-2101	139	4	of	of	ADP
cana-2101	139	5	conditions	condition	NOUN
cana-2101	139	6	results	result	NOUN
cana-2101	139	7	from	from	ADP
cana-2101	139	8	these	these	DET
cana-2101	139	9	assumptions	assumption	NOUN
cana-2101	139	10	:	:	PUNCT
cana-2101	139	11	where	where	SCONJ
cana-2101	139	12	a	a	PRON
cana-2101	139	13	and	and	CCONJ
cana-2101	139	14	1	1	NUM
cana-2101	139	15	/	/	SYM
cana-2101	139	16	β	β	NOUN
cana-2101	139	17	represent	represent	VERB
cana-2101	139	18	the	the	DET
cana-2101	139	19	mean	mean	ADJ
cana-2101	139	20	values	value	NOUN
cana-2101	139	21	of	of	ADP
cana-2101	139	22	the	the	DET
cana-2101	139	23	disease	disease	NOUN
cana-2101	139	24	transmission	transmission	NOUN
cana-2101	139	25	probability	probability	NOUN
cana-2101	139	26	and	and	CCONJ
cana-2101	139	27	the	the	DET
cana-2101	139	28	amount	amount	NOUN
cana-2101	139	29	of	of	ADP
cana-2101	139	30	time	time	NOUN
cana-2101	139	31	that	that	PRON
cana-2101	139	32	a	a	DET
cana-2101	139	33	person	person	NOUN
cana-2101	139	34	can	can	AUX
cana-2101	139	35	spread	spread	VERB
cana-2101	139	36	the	the	DET
cana-2101	139	37	illness	illness	NOUN
cana-2101	139	38	before	before	ADP
cana-2101	139	39	getting	get	VERB
cana-2101	139	40	better	well	ADJ
cana-2101	139	41	,	,	PUNCT
cana-2101	139	42	respectively	respectively	ADV
cana-2101	139	43	.	.	PUNCT
cana-2101	140	1	s	s	X
cana-2101	140	2	,	,	PUNCT
cana-2101	140	3	i	i	PRON
cana-2101	140	4	,	,	PUNCT
cana-2101	140	5	and	and	CCONJ
cana-2101	140	6	r	r	NOUN
cana-2101	140	7	stand	stand	NOUN
cana-2101	140	8	for	for	ADP
cana-2101	140	9	expected	expect	VERB
cana-2101	140	10	(	(	PUNCT
cana-2101	140	11	mean	mean	ADJ
cana-2101	140	12	)	)	PUNCT
cana-2101	140	13	values	value	NOUN
cana-2101	140	14	.	.	PUNCT
cana-2101	141	1	the	the	DET
cana-2101	141	2	well	well	ADV
cana-2101	141	3	-	-	PUNCT
cana-2101	141	4	known	know	VERB
cana-2101	141	5	kermack	kermack	NOUN
cana-2101	141	6	and	and	CCONJ
cana-2101	141	7	mckendrick	mckendrick	NOUN
cana-2101	141	8	model	model	NOUN
cana-2101	141	9	is	be	AUX
cana-2101	141	10	represented	represent	VERB
cana-2101	141	11	by	by	ADP
cana-2101	141	12	the	the	DET
cana-2101	141	13	set	set	NOUN
cana-2101	141	14	of	of	ADP
cana-2101	141	15	equations	equation	NOUN
cana-2101	141	16	above	above	ADV
cana-2101	141	17	.	.	PUNCT
cana-2101	142	1	after	after	ADP
cana-2101	142	2	a	a	DET
cana-2101	142	3	duration	duration	NOUN
cana-2101	142	4	of	of	ADP
cana-2101	142	5	time	time	NOUN
cana-2101	142	6	1	1	NUM
cana-2101	142	7	/	/	SYM
cana-2101	142	8	γ	γ	PROPN
cana-2101	142	9	,	,	PUNCT
cana-2101	142	10	the	the	DET
cana-2101	142	11	recuperated	recuperated	ADJ
cana-2101	142	12	person	person	NOUN
cana-2101	142	13	regains	regain	VERB
cana-2101	142	14	susceptibility	susceptibility	NOUN
cana-2101	142	15	,	,	PUNCT
cana-2101	142	16	at	at	ADP
cana-2101	142	17	which	which	DET
cana-2101	142	18	point	point	NOUN
cana-2101	142	19	the	the	DET
cana-2101	142	20	sirs	sir	NOUN
cana-2101	142	21	mean	mean	VERB
cana-2101	142	22	field	field	NOUN
cana-2101	142	23	model	model	NOUN
cana-2101	142	24	takes	take	VERB
cana-2101	142	25	on	on	ADP
cana-2101	142	26	the	the	DET
cana-2101	142	27	following	follow	VERB
cana-2101	142	28	form	form	NOUN
cana-2101	142	29	:	:	PUNCT
cana-2101	142	30	4.2	4.2	NUM
cana-2101	142	31	random	random	ADJ
cana-2101	142	32	models	model	NOUN
cana-2101	142	33	,	,	PUNCT
cana-2101	142	34	such	such	ADJ
cana-2101	142	35	as	as	ADP
cana-2101	142	36	discrete	discrete	ADJ
cana-2101	142	37	and	and	CCONJ
cana-2101	142	38	continuous	continuous	ADJ
cana-2101	142	39	-	-	PUNCT
cana-2101	142	40	time	time	NOUN
cana-2101	142	41	markov	markov	NOUN
cana-2101	142	42	-	-	PUNCT
cana-2101	142	43	chain	chain	NOUN
cana-2101	142	44	models	model	NOUN
cana-2101	142	45	based	base	VERB
cana-2101	142	46	on	on	ADP
cana-2101	142	47	individual	individual	ADJ
cana-2101	142	48	observations	observation	NOUN
cana-2101	142	49	these	these	PRON
cana-2101	142	50	are	be	AUX
cana-2101	142	51	often	often	ADV
cana-2101	142	52	individual	individual	ADJ
cana-2101	142	53	-	-	PUNCT
cana-2101	142	54	level	level	NOUN
cana-2101	142	55	models	model	NOUN
cana-2101	142	56	that	that	PRON
cana-2101	142	57	introduce	introduce	VERB
cana-2101	142	58	the	the	DET
cana-2101	142	59	uniqueness	uniqueness	NOUN
cana-2101	142	60	of	of	ADP
cana-2101	142	61	the	the	DET
cana-2101	142	62	individual	individual	ADJ
cana-2101	142	63	behavior	behavior	NOUN
cana-2101	142	64	including	include	VERB
cana-2101	142	65	numerous	numerous	ADJ
cana-2101	142	66	heterogeneous	heterogeneous	ADJ
cana-2101	142	67	attributes	attribute	NOUN
cana-2101	142	68	,	,	PUNCT
cana-2101	142	69	relaxing	relax	VERB
cana-2101	142	70	the	the	DET
cana-2101	142	71	assumption	assumption	NOUN
cana-2101	142	72	of	of	ADP
cana-2101	142	73	the	the	DET
cana-2101	142	74	mean	mean	ADJ
cana-2101	142	75	field	field	NOUN
cana-2101	142	76	approximations	approximation	NOUN
cana-2101	142	77	of	of	ADP
cana-2101	142	78	infinite	infinite	ADJ
cana-2101	142	79	population	population	NOUN
cana-2101	142	80	and	and	CCONJ
cana-2101	142	81	perfect	perfect	ADJ
cana-2101	142	82	mixing	mixing	NOUN
cana-2101	142	83	.	.	PUNCT
cana-2101	143	1	discrete	discrete	ADJ
cana-2101	143	2	markov	markov	NOUN
cana-2101	143	3	chains	chain	NOUN
cana-2101	143	4	are	be	AUX
cana-2101	143	5	the	the	DET
cana-2101	143	6	primary	primary	ADJ
cana-2101	143	7	communications	communication	NOUN
cana-2101	143	8	on	on	ADP
cana-2101	143	9	applied	apply	VERB
cana-2101	143	10	nonlinear	nonlinear	ADJ
cana-2101	143	11	analysis	analysis	NOUN
cana-2101	143	12	issn	issn	NOUN
cana-2101	143	13	:	:	PUNCT
cana-2101	143	14	1074	1074	NUM
cana-2101	143	15	-	-	PUNCT
cana-2101	143	16	133x	133x	NUM
cana-2101	143	17	vol	vol	NOUN
cana-2101	143	18	32	32	NUM
cana-2101	144	1	no	no	NOUN
cana-2101	144	2	.	.	PUNCT
cana-2101	145	1	1s	1s	NUM
cana-2101	145	2	(	(	PUNCT
cana-2101	145	3	2025	2025	NUM
cana-2101	145	4	)	)	PUNCT
cana-2101	145	5	61	61	NUM
cana-2101	145	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2101	145	7	representative	representative	NOUN
cana-2101	145	8	of	of	ADP
cana-2101	145	9	the	the	DET
cana-2101	145	10	category	category	NOUN
cana-2101	145	11	(	(	PUNCT
cana-2101	145	12	dmc	dmc	PROPN
cana-2101	145	13	)	)	PUNCT
cana-2101	145	14	.	.	PUNCT
cana-2101	146	1	time	time	NOUN
cana-2101	146	2	and	and	CCONJ
cana-2101	146	3	states	state	NOUN
cana-2101	146	4	are	be	AUX
cana-2101	146	5	both	both	PRON
cana-2101	146	6	specified	specify	VERB
cana-2101	146	7	on	on	ADP
cana-2101	146	8	a	a	DET
cana-2101	146	9	discrete	discrete	ADJ
cana-2101	146	10	set	set	NOUN
cana-2101	146	11	of	of	ADP
cana-2101	146	12	values	value	NOUN
cana-2101	146	13	in	in	ADP
cana-2101	146	14	dmc	dmc	PROPN
cana-2101	146	15	.	.	PUNCT
cana-2101	147	1	every	every	DET
cana-2101	147	2	discrete	discrete	ADJ
cana-2101	147	3	time	time	NOUN
cana-2101	147	4	step	step	NOUN
cana-2101	147	5	,	,	PUNCT
cana-2101	147	6	the	the	DET
cana-2101	147	7	states	state	NOUN
cana-2101	147	8	of	of	ADP
cana-2101	147	9	the	the	DET
cana-2101	147	10	individuals	individual	NOUN
cana-2101	147	11	vary	vary	VERB
cana-2101	147	12	in	in	ADP
cana-2101	147	13	a	a	DET
cana-2101	147	14	probabilistic	probabilistic	ADJ
cana-2101	147	15	way	way	NOUN
cana-2101	147	16	based	base	VERB
cana-2101	147	17	on	on	ADP
cana-2101	147	18	straightforward	straightforward	ADJ
cana-2101	147	19	rules	rule	NOUN
cana-2101	147	20	involving	involve	VERB
cana-2101	147	21	their	their	PRON
cana-2101	147	22	own	own	ADJ
cana-2101	147	23	states	state	NOUN
cana-2101	147	24	and	and	CCONJ
cana-2101	147	25	the	the	DET
cana-2101	147	26	states	state	NOUN
cana-2101	147	27	of	of	ADP
cana-2101	147	28	their	their	PRON
cana-2101	147	29	links	link	NOUN
cana-2101	147	30	that	that	PRON
cana-2101	147	31	satisfy	satisfy	VERB
cana-2101	147	32	the	the	DET
cana-2101	147	33	markov	markov	NOUN
cana-2101	147	34	property	property	NOUN
cana-2101	147	35	,	,	PUNCT
cana-2101	147	36	which	which	PRON
cana-2101	147	37	states	state	VERB
cana-2101	147	38	that	that	SCONJ
cana-2101	147	39	the	the	DET
cana-2101	147	40	values	value	NOUN
cana-2101	147	41	of	of	ADP
cana-2101	147	42	the	the	DET
cana-2101	147	43	states	state	NOUN
cana-2101	147	44	at	at	ADP
cana-2101	147	45	time	time	NOUN
cana-2101	147	46	t	t	PROPN
cana-2101	147	47	+	+	CCONJ
cana-2101	147	48	δt	δt	NOUN
cana-2101	147	49	in	in	ADP
cana-2101	147	50	the	the	DET
cana-2101	147	51	future	future	NOUN
cana-2101	147	52	only	only	ADV
cana-2101	147	53	depend	depend	VERB
cana-2101	147	54	on	on	ADP
cana-2101	147	55	the	the	DET
cana-2101	147	56	values	value	NOUN
cana-2101	147	57	of	of	ADP
cana-2101	147	58	the	the	DET
cana-2101	147	59	states	state	NOUN
cana-2101	147	60	at	at	ADP
cana-2101	147	61	time	time	NOUN
cana-2101	147	62	t	t	NOUN
cana-2101	147	63	in	in	ADP
cana-2101	147	64	the	the	DET
cana-2101	147	65	past	past	NOUN
cana-2101	147	66	,	,	PUNCT
cana-2101	147	67	i.e.	i.e.	X
cana-2101	147	68	these	these	DET
cana-2101	147	69	transition	transition	NOUN
cana-2101	147	70	rules	rule	NOUN
cana-2101	147	71	,	,	PUNCT
cana-2101	147	72	for	for	ADP
cana-2101	147	73	a	a	DET
cana-2101	147	74	stochastic	stochastic	ADJ
cana-2101	147	75	sirs	sir	NOUN
cana-2101	147	76	-	-	PUNCT
cana-2101	147	77	type	type	NOUN
cana-2101	147	78	model	model	NOUN
cana-2101	147	79	,	,	PUNCT
cana-2101	147	80	would	would	AUX
cana-2101	147	81	look	look	VERB
cana-2101	147	82	like	like	ADP
cana-2101	147	83	this	this	PRON
cana-2101	147	84	:	:	PUNCT
cana-2101	147	85	•	•	NUM
cana-2101	147	86	rule	rule	NOUN
cana-2101	147	87	#	#	SYM
cana-2101	147	88	1	1	NUM
cana-2101	147	89	:	:	PUNCT
cana-2101	147	90	if	if	SCONJ
cana-2101	147	91	there	there	PRON
cana-2101	147	92	is	be	VERB
cana-2101	147	93	active	active	ADJ
cana-2101	147	94	physical	physical	ADJ
cana-2101	147	95	communication	communication	NOUN
cana-2101	147	96	between	between	ADP
cana-2101	147	97	an	an	DET
cana-2101	147	98	infected	infected	ADJ
cana-2101	147	99	individual	individual	NOUN
cana-2101	147	100	(	(	PUNCT
cana-2101	147	101	i	i	NOUN
cana-2101	147	102	)	)	PUNCT
cana-2101	147	103	and	and	CCONJ
cana-2101	147	104	a	a	DET
cana-2101	147	105	susceptible	susceptible	ADJ
cana-2101	147	106	(	(	PUNCT
cana-2101	147	107	s	s	NOUN
cana-2101	147	108	)	)	PUNCT
cana-2101	147	109	connection	connection	NOUN
cana-2101	147	110	,	,	PUNCT
cana-2101	147	111	then	then	ADV
cana-2101	147	112	there	there	PRON
cana-2101	147	113	is	be	VERB
cana-2101	147	114	a	a	DET
cana-2101	147	115	probability	probability	NOUN
cana-2101	147	116	ps→i	ps→i	NOUN
cana-2101	147	117	=	=	SYM
cana-2101	147	118	λ	λ	PROPN
cana-2101	147	119	for	for	ADP
cana-2101	147	120	the	the	DET
cana-2101	147	121	infection	infection	NOUN
cana-2101	147	122	.	.	PUNCT
cana-2101	148	1	•	•	NUM
cana-2101	148	2	rule	rule	NOUN
cana-2101	148	3	#	#	SYM
cana-2101	148	4	2	2	NUM
cana-2101	148	5	:	:	PUNCT
cana-2101	148	6	the	the	DET
cana-2101	148	7	likelihood	likelihood	NOUN
cana-2101	148	8	that	that	SCONJ
cana-2101	148	9	an	an	DET
cana-2101	148	10	infected	infected	ADJ
cana-2101	148	11	person	person	NOUN
cana-2101	148	12	(	(	PUNCT
cana-2101	148	13	i	i	NOUN
cana-2101	148	14	)	)	PUNCT
cana-2101	148	15	would	would	AUX
cana-2101	148	16	recover	recover	VERB
cana-2101	148	17	is	be	AUX
cana-2101	148	18	pi	pi	NOUN
cana-2101	148	19	−	−	NOUN
cana-2101	148	20	r	r	NOUN
cana-2101	148	21	=	=	SYM
cana-2101	148	22	δ	δ	PROPN
cana-2101	148	23	.	.	NOUN
cana-2101	148	24	•	•	NUM
cana-2101	148	25	rule	rule	NOUN
cana-2101	148	26	#	#	SYM
cana-2101	148	27	3	3	NUM
cana-2101	148	28	:	:	PUNCT
cana-2101	148	29	there	there	PRON
cana-2101	148	30	is	be	VERB
cana-2101	148	31	a	a	DET
cana-2101	148	32	probability	probability	NOUN
cana-2101	148	33	pr→s	pr→s	ADJ
cana-2101	148	34	=	=	SYM
cana-2101	148	35	γ	γ	NOUN
cana-2101	148	36	that	that	SCONJ
cana-2101	148	37	a	a	DET
cana-2101	148	38	recovered	recovered	ADJ
cana-2101	148	39	individual	individual	NOUN
cana-2101	148	40	(	(	PUNCT
cana-2101	148	41	r	r	NOUN
cana-2101	148	42	)	)	PUNCT
cana-2101	148	43	will	will	AUX
cana-2101	148	44	become	become	VERB
cana-2101	148	45	susceptible	susceptible	ADJ
cana-2101	148	46	(	(	PUNCT
cana-2101	148	47	s	s	NOUN
cana-2101	148	48	)	)	PUNCT
cana-2101	148	49	.	.	PUNCT
cana-2101	149	1	the	the	DET
cana-2101	149	2	situation	situation	NOUN
cana-2101	149	3	of	of	ADP
cana-2101	149	4	temporal	temporal	ADJ
cana-2101	149	5	immunity	immunity	NOUN
cana-2101	149	6	is	be	AUX
cana-2101	149	7	expressed	express	VERB
cana-2101	149	8	by	by	ADP
cana-2101	149	9	this	this	DET
cana-2101	149	10	condition	condition	NOUN
cana-2101	149	11	.	.	PUNCT
cana-2101	150	1	the	the	DET
cana-2101	150	2	markov	markov	NOUN
cana-2101	150	3	process	process	NOUN
cana-2101	150	4	is	be	AUX
cana-2101	150	5	referred	refer	VERB
cana-2101	150	6	to	to	ADP
cana-2101	150	7	as	as	ADP
cana-2101	150	8	a	a	DET
cana-2101	150	9	time	time	NOUN
cana-2101	150	10	homogeneous	homogeneous	ADJ
cana-2101	150	11	markov	markov	NOUN
cana-2101	150	12	process	process	NOUN
cana-2101	150	13	when	when	SCONJ
cana-2101	150	14	these	these	DET
cana-2101	150	15	transition	transition	NOUN
cana-2101	150	16	probabilities	probability	NOUN
cana-2101	150	17	do	do	AUX
cana-2101	150	18	not	not	PART
cana-2101	150	19	change	change	VERB
cana-2101	150	20	over	over	ADP
cana-2101	150	21	time	time	NOUN
cana-2101	150	22	.	.	PUNCT
cana-2101	151	1	the	the	DET
cana-2101	151	2	disease	disease	NOUN
cana-2101	151	3	spreads	spread	VERB
cana-2101	151	4	through	through	ADP
cana-2101	151	5	a	a	DET
cana-2101	151	6	contact	contact	NOUN
cana-2101	151	7	network	network	NOUN
cana-2101	151	8	made	make	VERB
cana-2101	151	9	up	up	ADP
cana-2101	151	10	of	of	ADP
cana-2101	151	11	the	the	DET
cana-2101	151	12	connections	connection	NOUN
cana-2101	151	13	between	between	ADP
cana-2101	151	14	people	people	NOUN
cana-2101	151	15	.	.	PUNCT
cana-2101	152	1	this	this	DET
cana-2101	152	2	network	network	NOUN
cana-2101	152	3	is	be	AUX
cana-2101	152	4	taken	take	VERB
cana-2101	152	5	to	to	PART
cana-2101	152	6	be	be	AUX
cana-2101	152	7	a	a	DET
cana-2101	152	8	completely	completely	ADV
cana-2101	152	9	connected	connected	ADJ
cana-2101	152	10	graph	graph	NOUN
cana-2101	152	11	in	in	ADP
cana-2101	152	12	basic	basic	ADJ
cana-2101	152	13	dmc	dmc	NOUN
cana-2101	152	14	models	model	NOUN
cana-2101	152	15	,	,	PUNCT
cana-2101	152	16	which	which	PRON
cana-2101	152	17	leads	lead	VERB
cana-2101	152	18	to	to	ADP
cana-2101	152	19	homogenous	homogenous	ADJ
cana-2101	152	20	mixing	mixing	NOUN
cana-2101	152	21	of	of	ADP
cana-2101	152	22	people	people	NOUN
cana-2101	152	23	.	.	PUNCT
cana-2101	153	1	the	the	DET
cana-2101	153	2	stochastic	stochastic	ADJ
cana-2101	153	3	model	model	NOUN
cana-2101	153	4	can	can	AUX
cana-2101	153	5	be	be	AUX
cana-2101	153	6	thought	think	VERB
cana-2101	153	7	of	of	ADP
cana-2101	153	8	as	as	ADP
cana-2101	153	9	a	a	DET
cana-2101	153	10	mean	mean	ADJ
cana-2101	153	11	field	field	NOUN
cana-2101	153	12	deterministic	deterministic	ADJ
cana-2101	153	13	model	model	NOUN
cana-2101	153	14	in	in	ADP
cana-2101	153	15	this	this	DET
cana-2101	153	16	situation	situation	NOUN
cana-2101	153	17	and	and	CCONJ
cana-2101	153	18	in	in	ADP
cana-2101	153	19	the	the	DET
cana-2101	153	20	limit	limit	NOUN
cana-2101	153	21	of	of	ADP
cana-2101	153	22	an	an	DET
cana-2101	153	23	infinite	infinite	ADJ
cana-2101	153	24	number	number	NOUN
cana-2101	153	25	of	of	ADP
cana-2101	153	26	individuals	individual	NOUN
cana-2101	153	27	.	.	PUNCT
cana-2101	154	1	the	the	DET
cana-2101	154	2	governing	govern	VERB
cana-2101	154	3	equations	equation	NOUN
cana-2101	154	4	are	be	AUX
cana-2101	154	5	as	as	SCONJ
cana-2101	154	6	follows	follow	VERB
cana-2101	154	7	for	for	ADP
cana-2101	154	8	a	a	DET
cana-2101	154	9	uniform	uniform	ADJ
cana-2101	154	10	distribution	distribution	NOUN
cana-2101	154	11	with	with	ADP
cana-2101	154	12	z	z	NOUN
cana-2101	154	13	links	link	NOUN
cana-2101	154	14	per	per	ADP
cana-2101	154	15	individual	individual	NOUN
cana-2101	154	16	and	and	CCONJ
cana-2101	154	17	in	in	ADP
cana-2101	154	18	the	the	DET
cana-2101	154	19	limit	limit	NOUN
cana-2101	154	20	of	of	ADP
cana-2101	154	21	an	an	DET
cana-2101	154	22	infinite	infinite	ADJ
cana-2101	154	23	size	size	NOUN
cana-2101	154	24	population	population	NOUN
cana-2101	154	25	:	:	PUNCT
cana-2101	154	26	however	however	ADV
cana-2101	154	27	,	,	PUNCT
cana-2101	154	28	when	when	SCONJ
cana-2101	154	29	the	the	DET
cana-2101	154	30	presumptions	presumption	NOUN
cana-2101	154	31	regarding	regard	VERB
cana-2101	154	32	an	an	DET
cana-2101	154	33	unlimited	unlimited	ADJ
cana-2101	154	34	size	size	NOUN
cana-2101	154	35	population	population	NOUN
cana-2101	154	36	,	,	PUNCT
cana-2101	154	37	homogenous	homogenous	ADJ
cana-2101	154	38	people	people	NOUN
cana-2101	154	39	,	,	PUNCT
cana-2101	154	40	homogenous	homogenous	ADJ
cana-2101	154	41	or	or	CCONJ
cana-2101	154	42	random	random	ADJ
cana-2101	154	43	regular	regular	ADJ
cana-2101	154	44	networks	network	NOUN
cana-2101	154	45	fail	fail	VERB
cana-2101	154	46	to	to	PART
cana-2101	154	47	hold	hold	VERB
cana-2101	154	48	,	,	PUNCT
cana-2101	154	49	the	the	DET
cana-2101	154	50	deterministic	deterministic	ADJ
cana-2101	154	51	mean	mean	NOUN
cana-2101	154	52	field	field	NOUN
cana-2101	154	53	approximations	approximation	NOUN
cana-2101	154	54	mentioned	mention	VERB
cana-2101	154	55	above	above	ADV
cana-2101	154	56	may	may	AUX
cana-2101	154	57	impose	impose	VERB
cana-2101	154	58	significant	significant	ADJ
cana-2101	154	59	bias	bias	NOUN
cana-2101	154	60	.	.	PUNCT
cana-2101	155	1	therefore	therefore	ADV
cana-2101	155	2	,	,	PUNCT
cana-2101	155	3	at	at	ADP
cana-2101	155	4	the	the	DET
cana-2101	155	5	coarse	coarse	ADV
cana-2101	155	6	-	-	PUNCT
cana-2101	155	7	grained	grain	VERB
cana-2101	155	8	/	/	SYM
cana-2101	155	9	emergent	emergent	ADJ
cana-2101	155	10	(	(	PUNCT
cana-2101	155	11	continuum	continuum	ADJ
cana-2101	155	12	)	)	PUNCT
cana-2101	155	13	level	level	NOUN
cana-2101	155	14	,	,	PUNCT
cana-2101	155	15	they	they	PRON
cana-2101	155	16	can	can	AUX
cana-2101	155	17	overlook	overlook	VERB
cana-2101	155	18	crucial	crucial	ADJ
cana-2101	155	19	numeric	numeric	ADJ
cana-2101	155	20	and/or	and/or	CCONJ
cana-2101	155	21	qualitative	qualitative	ADJ
cana-2101	155	22	information	information	NOUN
cana-2101	155	23	.	.	PUNCT
cana-2101	156	1	as	as	SCONJ
cana-2101	156	2	the	the	DET
cana-2101	156	3	heterogeneity	heterogeneity	NOUN
cana-2101	156	4	increases	increase	VERB
cana-2101	156	5	(	(	PUNCT
cana-2101	156	6	e.g.	e.g.	ADV
cana-2101	156	7	,	,	PUNCT
cana-2101	156	8	interactions	interaction	NOUN
cana-2101	156	9	on	on	ADP
cana-2101	156	10	more	more	ADV
cana-2101	156	11	complicated	complicated	ADJ
cana-2101	156	12	networks	network	NOUN
cana-2101	156	13	with	with	ADP
cana-2101	156	14	finite	finite	ADJ
cana-2101	156	15	size	size	NOUN
cana-2101	156	16	populations	population	NOUN
cana-2101	156	17	)	)	PUNCT
cana-2101	156	18	,	,	PUNCT
cana-2101	156	19	the	the	DET
cana-2101	156	20	problem	problem	NOUN
cana-2101	156	21	gets	get	VERB
cana-2101	156	22	worse	bad	ADJ
cana-2101	156	23	.	.	PUNCT
cana-2101	157	1	4.3	4.3	NUM
cana-2101	157	2	completing	complete	VERB
cana-2101	157	3	the	the	DET
cana-2101	157	4	previous	previous	ADJ
cana-2101	157	5	stochastic	stochastic	ADJ
cana-2101	157	6	models	model	NOUN
cana-2101	157	7	'	'	PART
cana-2101	157	8	conjecture	conjecture	NOUN
cana-2101	157	9	that	that	SCONJ
cana-2101	157	10	individual	individual	ADJ
cana-2101	157	11	interactions	interaction	NOUN
cana-2101	157	12	are	be	AUX
cana-2101	157	13	immediate	immediate	ADJ
cana-2101	157	14	and	and	CCONJ
cana-2101	157	15	homogeneous	homogeneous	ADJ
cana-2101	157	16	are	be	AUX
cana-2101	157	17	complex	complex	ADJ
cana-2101	157	18	network	network	NOUN
cana-2101	157	19	models	model	NOUN
cana-2101	157	20	118–120	118–120	NUM
cana-2101	157	21	.	.	PUNCT
cana-2101	158	1	among	among	ADP
cana-2101	158	2	the	the	DET
cana-2101	158	3	most	most	ADV
cana-2101	158	4	important	important	ADJ
cana-2101	158	5	issues	issue	NOUN
cana-2101	158	6	in	in	ADP
cana-2101	158	7	epidemics	epidemic	NOUN
cana-2101	158	8	are	be	AUX
cana-2101	158	9	the	the	DET
cana-2101	158	10	dynamic	dynamic	ADJ
cana-2101	158	11	impacts	impact	NOUN
cana-2101	158	12	of	of	ADP
cana-2101	158	13	heterogeneity	heterogeneity	NOUN
cana-2101	158	14	in	in	ADP
cana-2101	158	15	the	the	DET
cana-2101	158	16	contact	contact	NOUN
cana-2101	158	17	network	network	NOUN
cana-2101	158	18	.	.	PUNCT
cana-2101	159	1	individual	individual	ADJ
cana-2101	159	2	contacts	contact	NOUN
cana-2101	159	3	occur	occur	VERB
cana-2101	159	4	in	in	ADP
cana-2101	159	5	a	a	DET
cana-2101	159	6	variety	variety	NOUN
cana-2101	159	7	of	of	ADP
cana-2101	159	8	complex	complex	ADJ
cana-2101	159	9	and	and	CCONJ
cana-2101	159	10	highly	highly	ADV
cana-2101	159	11	heterogeneous	heterogeneous	ADJ
cana-2101	159	12	modes	mode	NOUN
cana-2101	159	13	that	that	PRON
cana-2101	159	14	are	be	AUX
cana-2101	159	15	driven	drive	VERB
cana-2101	159	16	by	by	ADP
cana-2101	159	17	a	a	DET
cana-2101	159	18	wide	wide	ADJ
cana-2101	159	19	range	range	NOUN
cana-2101	159	20	of	of	ADP
cana-2101	159	21	factors	factor	NOUN
cana-2101	159	22	,	,	PUNCT
cana-2101	159	23	from	from	ADP
cana-2101	159	24	the	the	DET
cana-2101	159	25	intrinsic	intrinsic	ADJ
cana-2101	159	26	variability	variability	NOUN
cana-2101	159	27	of	of	ADP
cana-2101	159	28	the	the	DET
cana-2101	159	29	pathogen	pathogen	NOUN
cana-2101	159	30	and	and	CCONJ
cana-2101	159	31	the	the	DET
cana-2101	159	32	stochasticity	stochasticity	NOUN
cana-2101	159	33	of	of	ADP
cana-2101	159	34	the	the	DET
cana-2101	159	35	host	host	NOUN
cana-2101	159	36	-	-	PUNCT
cana-2101	159	37	pathogen	pathogen	NOUN
cana-2101	159	38	interaction	interaction	NOUN
cana-2101	159	39	that	that	PRON
cana-2101	159	40	characterize	characterize	VERB
cana-2101	159	41	the	the	DET
cana-2101	159	42	mechanisms	mechanism	NOUN
cana-2101	159	43	of	of	ADP
cana-2101	159	44	a	a	DET
cana-2101	159	45	given	give	VERB
cana-2101	159	46	disease	disease	NOUN
cana-2101	159	47	's	's	PART
cana-2101	159	48	transmission	transmission	NOUN
cana-2101	159	49	to	to	ADP
cana-2101	159	50	population	population	NOUN
cana-2101	159	51	-	-	PUNCT
cana-2101	159	52	level	level	NOUN
cana-2101	159	53	factors	factor	NOUN
cana-2101	159	54	that	that	PRON
cana-2101	159	55	are	be	AUX
cana-2101	159	56	complicated	complicate	VERB
cana-2101	159	57	by	by	ADP
cana-2101	159	58	seasonal	seasonal	ADJ
cana-2101	159	59	,	,	PUNCT
cana-2101	159	60	environmental	environmental	ADJ
cana-2101	159	61	,	,	PUNCT
cana-2101	159	62	economic	economic	ADJ
cana-2101	159	63	,	,	PUNCT
cana-2101	159	64	and	and	CCONJ
cana-2101	159	65	demographic	demographic	ADJ
cana-2101	159	66	factors	factor	NOUN
cana-2101	159	67	.	.	PUNCT
cana-2101	160	1	moreover	moreover	ADV
cana-2101	160	2	,	,	PUNCT
cana-2101	160	3	the	the	DET
cana-2101	160	4	contact	contact	NOUN
cana-2101	160	5	social	social	ADJ
cana-2101	160	6	network	network	NOUN
cana-2101	160	7	's	's	PART
cana-2101	160	8	architecture	architecture	NOUN
cana-2101	160	9	frequently	frequently	ADV
cana-2101	160	10	influences	influence	VERB
cana-2101	160	11	how	how	SCONJ
cana-2101	160	12	an	an	DET
cana-2101	160	13	epidemic	epidemic	NOUN
cana-2101	160	14	spread	spread	NOUN
cana-2101	160	15	,	,	PUNCT
cana-2101	160	16	and	and	CCONJ
cana-2101	160	17	the	the	DET
cana-2101	160	18	emergent	emergent	ADJ
cana-2101	160	19	dynamics	dynamic	NOUN
cana-2101	160	20	of	of	ADP
cana-2101	160	21	the	the	DET
cana-2101	160	22	epidemic	epidemic	NOUN
cana-2101	160	23	influence	influence	NOUN
cana-2101	160	24	how	how	SCONJ
cana-2101	160	25	the	the	DET
cana-2101	160	26	transmission	transmission	NOUN
cana-2101	160	27	network	network	NOUN
cana-2101	160	28	dynamically	dynamically	ADV
cana-2101	160	29	evolves	evolve	VERB
cana-2101	160	30	.	.	PUNCT
cana-2101	161	1	for	for	ADP
cana-2101	161	2	instance	instance	NOUN
cana-2101	161	3	,	,	PUNCT
cana-2101	161	4	during	during	ADP
cana-2101	161	5	a	a	DET
cana-2101	161	6	major	major	ADJ
cana-2101	161	7	epidemic	epidemic	NOUN
cana-2101	161	8	outbreak	outbreak	NOUN
cana-2101	161	9	,	,	PUNCT
cana-2101	161	10	a	a	DET
cana-2101	161	11	shift	shift	NOUN
cana-2101	161	12	in	in	ADP
cana-2101	161	13	the	the	DET
cana-2101	161	14	endemicity	endemicity	NOUN
cana-2101	161	15	of	of	ADP
cana-2101	161	16	a	a	DET
cana-2101	161	17	specific	specific	ADJ
cana-2101	161	18	population	population	NOUN
cana-2101	161	19	subset	subset	NOUN
cana-2101	161	20	might	might	AUX
cana-2101	161	21	lead	lead	VERB
cana-2101	161	22	to	to	ADP
cana-2101	161	23	a	a	DET
cana-2101	161	24	substantial	substantial	ADJ
cana-2101	161	25	alteration	alteration	NOUN
cana-2101	161	26	in	in	ADP
cana-2101	161	27	the	the	DET
cana-2101	161	28	transmission	transmission	NOUN
cana-2101	161	29	network	network	NOUN
cana-2101	161	30	's	's	PART
cana-2101	161	31	properties	property	NOUN
cana-2101	161	32	(	(	PUNCT
cana-2101	161	33	due	due	ADJ
cana-2101	161	34	to	to	ADP
cana-2101	161	35	,	,	PUNCT
cana-2101	161	36	e.g.	e.g.	ADV
cana-2101	161	37	,	,	PUNCT
cana-2101	161	38	link	link	NOUN
cana-2101	161	39	-	-	PUNCT
cana-2101	161	40	cutting	cut	VERB
cana-2101	161	41	due	due	ADJ
cana-2101	161	42	hospitalization	hospitalization	NOUN
cana-2101	161	43	)	)	PUNCT
cana-2101	161	44	.	.	PUNCT
cana-2101	162	1	controlling	control	VERB
cana-2101	162	2	disease	disease	NOUN
cana-2101	162	3	outbreaks	outbreak	NOUN
cana-2101	162	4	through	through	ADP
cana-2101	162	5	public	public	ADJ
cana-2101	162	6	health	health	NOUN
cana-2101	162	7	interventions	intervention	NOUN
cana-2101	162	8	and	and	CCONJ
cana-2101	162	9	regulations	regulation	NOUN
cana-2101	162	10	requires	require	VERB
cana-2101	162	11	a	a	DET
cana-2101	162	12	thorough	thorough	ADJ
cana-2101	162	13	understanding	understanding	NOUN
cana-2101	162	14	of	of	ADP
cana-2101	162	15	this	this	DET
cana-2101	162	16	complicated	complicated	ADJ
cana-2101	162	17	behavior	behavior	NOUN
cana-2101	162	18	.	.	PUNCT
cana-2101	163	1	a	a	DET
cana-2101	163	2	wellplanned	wellplanne	VERB
cana-2101	163	3	vaccination	vaccination	NOUN
cana-2101	163	4	,	,	PUNCT
cana-2101	163	5	isolation	isolation	NOUN
cana-2101	163	6	,	,	PUNCT
cana-2101	163	7	and/or	and/or	CCONJ
cana-2101	163	8	antiviral	antiviral	ADJ
cana-2101	163	9	medication	medication	NOUN
cana-2101	163	10	program	program	NOUN
cana-2101	163	11	targeting	target	VERB
cana-2101	163	12	certain	certain	ADJ
cana-2101	163	13	population	population	NOUN
cana-2101	163	14	segments	segment	NOUN
cana-2101	163	15	is	be	AUX
cana-2101	163	16	necessary	necessary	ADJ
cana-2101	163	17	to	to	PART
cana-2101	163	18	effectively	effectively	ADV
cana-2101	163	19	confront	confront	VERB
cana-2101	163	20	an	an	DET
cana-2101	163	21	emerging	emerge	VERB
cana-2101	163	22	pandemic	pandemic	ADJ
cana-2101	163	23	.	.	PUNCT
cana-2101	164	1	inadequate	inadequate	ADJ
cana-2101	164	2	comprehension	comprehension	NOUN
cana-2101	164	3	of	of	ADP
cana-2101	164	4	the	the	DET
cana-2101	164	5	dynamics	dynamic	NOUN
cana-2101	164	6	of	of	ADP
cana-2101	164	7	infectious	infectious	ADJ
cana-2101	164	8	diseases	disease	NOUN
cana-2101	164	9	,	,	PUNCT
cana-2101	164	10	which	which	PRON
cana-2101	164	11	arise	arise	VERB
cana-2101	164	12	from	from	ADP
cana-2101	164	13	varied	varied	ADJ
cana-2101	164	14	contact	contact	NOUN
cana-2101	164	15	interactions	interaction	NOUN
cana-2101	164	16	,	,	PUNCT
cana-2101	164	17	can	can	AUX
cana-2101	164	18	lead	lead	VERB
cana-2101	164	19	to	to	ADP
cana-2101	164	20	grave	grave	ADJ
cana-2101	164	21	adverse	adverse	ADJ
cana-2101	164	22	communications	communication	NOUN
cana-2101	164	23	on	on	ADP
cana-2101	164	24	applied	apply	VERB
cana-2101	164	25	nonlinear	nonlinear	ADJ
cana-2101	164	26	analysis	analysis	NOUN
cana-2101	164	27	issn	issn	NOUN
cana-2101	164	28	:	:	PUNCT
cana-2101	164	29	1074	1074	NUM
cana-2101	164	30	-	-	PUNCT
cana-2101	164	31	133x	133x	NUM
cana-2101	164	32	vol	vol	NOUN
cana-2101	164	33	32	32	NUM
cana-2101	164	34	no	no	NOUN
cana-2101	164	35	.	.	PUNCT
cana-2101	165	1	1s	1s	NUM
cana-2101	165	2	(	(	PUNCT
cana-2101	165	3	2025	2025	NUM
cana-2101	165	4	)	)	PUNCT
cana-2101	165	5	62	62	NUM
cana-2101	165	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2101	165	7	outcomes	outcome	NOUN
cana-2101	165	8	.	.	PUNCT
cana-2101	166	1	a	a	DET
cana-2101	166	2	great	great	ADJ
cana-2101	166	3	deal	deal	NOUN
cana-2101	166	4	of	of	ADP
cana-2101	166	5	work	work	NOUN
cana-2101	166	6	has	have	AUX
cana-2101	166	7	been	be	AUX
cana-2101	166	8	done	do	VERB
cana-2101	166	9	in	in	ADP
cana-2101	166	10	recent	recent	ADJ
cana-2101	166	11	years	year	NOUN
cana-2101	166	12	to	to	PART
cana-2101	166	13	understand	understand	VERB
cana-2101	166	14	how	how	SCONJ
cana-2101	166	15	the	the	DET
cana-2101	166	16	underlying	underlie	VERB
cana-2101	166	17	architecture	architecture	NOUN
cana-2101	166	18	of	of	ADP
cana-2101	166	19	the	the	DET
cana-2101	166	20	transmission	transmission	NOUN
cana-2101	166	21	network	network	NOUN
cana-2101	166	22	interacts	interact	VERB
cana-2101	166	23	with	with	ADP
cana-2101	166	24	the	the	DET
cana-2101	166	25	emergent	emergent	ADJ
cana-2101	166	26	dynamics	dynamic	NOUN
cana-2101	166	27	of	of	ADP
cana-2101	166	28	infectious	infectious	ADJ
cana-2101	166	29	illnesses	illness	NOUN
cana-2101	166	30	.	.	PUNCT
cana-2101	167	1	5.conclusion	5.conclusion	NUM
cana-2101	167	2	the	the	DET
cana-2101	167	3	use	use	NOUN
cana-2101	167	4	of	of	ADP
cana-2101	167	5	mathematical	mathematical	ADJ
cana-2101	167	6	modeling	modeling	NOUN
cana-2101	167	7	techniques	technique	NOUN
cana-2101	167	8	is	be	AUX
cana-2101	167	9	essential	essential	ADJ
cana-2101	167	10	for	for	ADP
cana-2101	167	11	comprehending	comprehending	ADJ
cana-2101	167	12	and	and	CCONJ
cana-2101	167	13	managing	manage	VERB
cana-2101	167	14	infectious	infectious	ADJ
cana-2101	167	15	diseases	disease	NOUN
cana-2101	167	16	.	.	PUNCT
cana-2101	168	1	researchers	researcher	NOUN
cana-2101	168	2	can	can	AUX
cana-2101	168	3	monitor	monitor	VERB
cana-2101	168	4	outbreaks	outbreak	NOUN
cana-2101	168	5	,	,	PUNCT
cana-2101	168	6	establish	establish	VERB
cana-2101	168	7	spatial	spatial	ADJ
cana-2101	168	8	trends	trend	NOUN
cana-2101	168	9	,	,	PUNCT
cana-2101	168	10	and	and	CCONJ
cana-2101	168	11	spot	spot	NOUN
cana-2101	168	12	epidemics	epidemic	NOUN
cana-2101	168	13	early	early	ADV
cana-2101	168	14	on	on	ADV
cana-2101	168	15	through	through	ADP
cana-2101	168	16	statistically	statistically	ADV
cana-2101	168	17	based	base	VERB
cana-2101	168	18	tools	tool	NOUN
cana-2101	168	19	like	like	ADP
cana-2101	168	20	regression	regression	NOUN
cana-2101	168	21	models	model	NOUN
cana-2101	168	22	and	and	CCONJ
cana-2101	168	23	statistical	statistical	ADJ
cana-2101	168	24	process	process	NOUN
cana-2101	168	25	control	control	NOUN
cana-2101	168	26	techniques	technique	NOUN
cana-2101	168	27	.	.	PUNCT
cana-2101	169	1	this	this	PRON
cana-2101	169	2	allows	allow	VERB
cana-2101	169	3	for	for	ADP
cana-2101	169	4	timely	timely	ADJ
cana-2101	169	5	intervention	intervention	NOUN
cana-2101	169	6	and	and	CCONJ
cana-2101	169	7	mitigation	mitigation	NOUN
cana-2101	169	8	measures	measure	NOUN
cana-2101	169	9	.	.	PUNCT
cana-2101	170	1	moreover	moreover	ADV
cana-2101	170	2	,	,	PUNCT
cana-2101	170	3	a	a	DET
cana-2101	170	4	continuous	continuous	ADJ
cana-2101	170	5	approach	approach	NOUN
cana-2101	170	6	to	to	ADP
cana-2101	170	7	researching	research	VERB
cana-2101	170	8	disease	disease	NOUN
cana-2101	170	9	dynamics	dynamic	NOUN
cana-2101	170	10	is	be	AUX
cana-2101	170	11	provided	provide	VERB
cana-2101	170	12	by	by	ADP
cana-2101	170	13	state	state	NOUN
cana-2101	170	14	-	-	PUNCT
cana-2101	170	15	space	space	NOUN
cana-2101	170	16	models	model	NOUN
cana-2101	170	17	,	,	PUNCT
cana-2101	170	18	such	such	ADJ
cana-2101	170	19	as	as	ADP
cana-2101	170	20	differential	differential	ADJ
cana-2101	170	21	and	and	CCONJ
cana-2101	170	22	partial	partial	ADJ
cana-2101	170	23	differential	differential	NOUN
cana-2101	170	24	equations	equation	NOUN
cana-2101	170	25	,	,	PUNCT
cana-2101	170	26	which	which	PRON
cana-2101	170	27	enable	enable	VERB
cana-2101	170	28	the	the	DET
cana-2101	170	29	investigation	investigation	NOUN
cana-2101	170	30	of	of	ADP
cana-2101	170	31	population	population	NOUN
cana-2101	170	32	-	-	PUNCT
cana-2101	170	33	level	level	NOUN
cana-2101	170	34	interactions	interaction	NOUN
cana-2101	170	35	and	and	CCONJ
cana-2101	170	36	the	the	DET
cana-2101	170	37	results	result	NOUN
cana-2101	170	38	of	of	ADP
cana-2101	170	39	treatments	treatment	NOUN
cana-2101	170	40	.	.	PUNCT
cana-2101	171	1	furthermore	furthermore	ADV
cana-2101	171	2	,	,	PUNCT
cana-2101	171	3	random	random	ADJ
cana-2101	171	4	models	model	NOUN
cana-2101	171	5	that	that	PRON
cana-2101	171	6	reflect	reflect	VERB
cana-2101	171	7	individual	individual	ADJ
cana-2101	171	8	-	-	PUNCT
cana-2101	171	9	level	level	NOUN
cana-2101	171	10	behaviors	behavior	NOUN
cana-2101	171	11	and	and	CCONJ
cana-2101	171	12	heterogeneity	heterogeneity	NOUN
cana-2101	171	13	,	,	PUNCT
cana-2101	171	14	including	include	VERB
cana-2101	171	15	discrete	discrete	ADJ
cana-2101	171	16	and	and	CCONJ
cana-2101	171	17	continuous	continuous	ADJ
cana-2101	171	18	-	-	PUNCT
cana-2101	171	19	time	time	NOUN
cana-2101	171	20	markov	markov	NOUN
cana-2101	171	21	-	-	PUNCT
cana-2101	171	22	chain	chain	NOUN
cana-2101	171	23	models	model	NOUN
cana-2101	171	24	,	,	PUNCT
cana-2101	171	25	shed	shed	VERB
cana-2101	171	26	light	light	NOUN
cana-2101	171	27	on	on	ADP
cana-2101	171	28	the	the	DET
cana-2101	171	29	complex	complex	ADJ
cana-2101	171	30	dynamics	dynamic	NOUN
cana-2101	171	31	of	of	ADP
cana-2101	171	32	disease	disease	NOUN
cana-2101	171	33	transmission	transmission	NOUN
cana-2101	171	34	.	.	PUNCT
cana-2101	172	1	ultimately	ultimately	ADV
cana-2101	172	2	,	,	PUNCT
cana-2101	172	3	the	the	DET
cana-2101	172	4	dynamic	dynamic	ADJ
cana-2101	172	5	effects	effect	NOUN
cana-2101	172	6	of	of	ADP
cana-2101	172	7	contact	contact	NOUN
cana-2101	172	8	network	network	NOUN
cana-2101	172	9	heterogeneity	heterogeneity	NOUN
cana-2101	172	10	are	be	AUX
cana-2101	172	11	clarified	clarify	VERB
cana-2101	172	12	by	by	ADP
cana-2101	172	13	complex	complex	ADJ
cana-2101	172	14	network	network	NOUN
cana-2101	172	15	models	model	NOUN
cana-2101	172	16	,	,	PUNCT
cana-2101	172	17	which	which	PRON
cana-2101	172	18	provide	provide	VERB
cana-2101	172	19	important	important	ADJ
cana-2101	172	20	information	information	NOUN
cana-2101	172	21	for	for	ADP
cana-2101	172	22	developing	develop	VERB
cana-2101	172	23	focused	focus	VERB
cana-2101	172	24	public	public	ADJ
cana-2101	172	25	health	health	NOUN
cana-2101	172	26	initiatives	initiative	NOUN
cana-2101	172	27	and	and	CCONJ
cana-2101	172	28	successfully	successfully	ADV
cana-2101	172	29	managing	manage	VERB
cana-2101	172	30	disease	disease	NOUN
cana-2101	172	31	outbreaks	outbreak	NOUN
cana-2101	172	32	.	.	PUNCT
cana-2101	173	1	all	all	DET
cana-2101	173	2	things	thing	NOUN
cana-2101	173	3	considered	consider	VERB
cana-2101	173	4	,	,	PUNCT
cana-2101	173	5	the	the	DET
cana-2101	173	6	wide	wide	ADJ
cana-2101	173	7	range	range	NOUN
cana-2101	173	8	of	of	ADP
cana-2101	173	9	mathematical	mathematical	ADJ
cana-2101	173	10	modeling	modeling	NOUN
cana-2101	173	11	approaches	approach	NOUN
cana-2101	173	12	covered	cover	VERB
cana-2101	173	13	in	in	ADP
cana-2101	173	14	this	this	DET
cana-2101	173	15	study	study	NOUN
cana-2101	173	16	highlights	highlight	VERB
cana-2101	173	17	their	their	PRON
cana-2101	173	18	significance	significance	NOUN
cana-2101	173	19	in	in	ADP
cana-2101	173	20	expanding	expand	VERB
cana-2101	173	21	our	our	PRON
cana-2101	173	22	knowledge	knowledge	NOUN
cana-2101	173	23	of	of	ADP
cana-2101	173	24	infectious	infectious	ADJ
cana-2101	173	25	illnesses	illness	NOUN
cana-2101	173	26	and	and	CCONJ
cana-2101	173	27	directing	direct	VERB
cana-2101	173	28	evidence	evidence	NOUN
cana-2101	173	29	-	-	PUNCT
cana-2101	173	30	based	base	VERB
cana-2101	173	31	tactics	tactic	NOUN
cana-2101	173	32	for	for	ADP
cana-2101	173	33	illness	illness	NOUN
cana-2101	173	34	prevention	prevention	NOUN
cana-2101	173	35	and	and	CCONJ
cana-2101	173	36	control	control	NOUN
cana-2101	173	37	.	.	PUNCT
cana-2101	174	1	references	reference	NOUN
cana-2101	174	2	[	[	X
cana-2101	174	3	1	1	NUM
cana-2101	174	4	]	]	PUNCT
cana-2101	174	5	anirudh	anirudh	NOUN
cana-2101	174	6	,	,	PUNCT
cana-2101	174	7	a.	a.	PROPN
cana-2101	174	8	j.	j.	PROPN
cana-2101	174	9	i.	i.	PROPN
cana-2101	174	10	d.	d.	PROPN
cana-2101	174	11	m.	m.	PROPN
cana-2101	174	12	(	(	PUNCT
cana-2101	174	13	2020	2020	NUM
cana-2101	174	14	)	)	PUNCT
cana-2101	174	15	.	.	PUNCT
cana-2101	175	1	mathematical	mathematical	ADJ
cana-2101	175	2	modeling	modeling	NOUN
cana-2101	175	3	and	and	CCONJ
cana-2101	175	4	the	the	DET
cana-2101	175	5	transmission	transmission	NOUN
cana-2101	175	6	dynamics	dynamic	NOUN
cana-2101	175	7	in	in	ADP
cana-2101	175	8	predicting	predict	VERB
cana-2101	175	9	the	the	DET
cana-2101	175	10	covid-19what	covid-19what	NOUN
cana-2101	175	11	next	next	ADV
cana-2101	175	12	in	in	ADP
cana-2101	175	13	combating	combat	VERB
cana-2101	175	14	the	the	DET
cana-2101	175	15	pandemic	pandemic	ADJ
cana-2101	175	16	.	.	PUNCT
cana-2101	176	1	infectious	infectious	ADJ
cana-2101	176	2	disease	disease	NOUN
cana-2101	176	3	modelling	modelling	NOUN
cana-2101	176	4	,	,	PUNCT
cana-2101	176	5	5	5	NUM
cana-2101	176	6	,	,	PUNCT
cana-2101	176	7	366	366	NUM
cana-2101	176	8	-	-	SYM
cana-2101	176	9	374	374	NUM
cana-2101	176	10	.	.	PUNCT
cana-2101	177	1	[	[	X
cana-2101	177	2	2	2	NUM
cana-2101	177	3	]	]	PUNCT
cana-2101	177	4	asamoah	asamoah	PROPN
cana-2101	177	5	,	,	PUNCT
cana-2101	177	6	j.	j.	PROPN
cana-2101	177	7	k.	k.	PROPN
cana-2101	177	8	k.	k.	PROPN
cana-2101	177	9	,	,	PUNCT
cana-2101	177	10	nyabadza	nyabadza	INTJ
cana-2101	177	11	,	,	PUNCT
cana-2101	177	12	f.	f.	PROPN
cana-2101	177	13	,	,	PUNCT
cana-2101	177	14	seidu	seidu	PROPN
cana-2101	177	15	,	,	PUNCT
cana-2101	177	16	b.	b.	PROPN
cana-2101	177	17	,	,	PUNCT
cana-2101	177	18	chand	chand	PROPN
cana-2101	177	19	,	,	PUNCT
cana-2101	177	20	m.	m.	NOUN
cana-2101	177	21	,	,	PUNCT
cana-2101	177	22	&	&	CCONJ
cana-2101	177	23	dutta	dutta	PROPN
cana-2101	177	24	,	,	PUNCT
cana-2101	177	25	h.	h.	PROPN
cana-2101	177	26	(	(	PUNCT
cana-2101	177	27	2018	2018	NUM
cana-2101	177	28	)	)	PUNCT
cana-2101	177	29	.	.	PUNCT
cana-2101	178	1	mathematical	mathematical	ADJ
cana-2101	178	2	modelling	modelling	NOUN
cana-2101	178	3	of	of	ADP
cana-2101	178	4	bacterial	bacterial	ADJ
cana-2101	178	5	meningitis	meningitis	NOUN
cana-2101	178	6	transmission	transmission	NOUN
cana-2101	178	7	dynamics	dynamic	NOUN
cana-2101	178	8	with	with	ADP
cana-2101	178	9	control	control	NOUN
cana-2101	178	10	measures	measure	NOUN
cana-2101	178	11	.	.	PUNCT
cana-2101	179	1	computational	computational	ADJ
cana-2101	179	2	and	and	CCONJ
cana-2101	179	3	mathematical	mathematical	ADJ
cana-2101	179	4	methods	method	NOUN
cana-2101	179	5	in	in	ADP
cana-2101	179	6	medicine	medicine	NOUN
cana-2101	179	7	,	,	PUNCT
cana-2101	179	8	2018	2018	NUM
cana-2101	179	9	.	.	PUNCT
cana-2101	180	1	[	[	X
cana-2101	180	2	3	3	NUM
cana-2101	180	3	]	]	PUNCT
cana-2101	180	4	bekiros	bekiro	NOUN
cana-2101	180	5	,	,	PUNCT
cana-2101	180	6	s.	s.	PROPN
cana-2101	180	7	,	,	PUNCT
cana-2101	180	8	&	&	CCONJ
cana-2101	180	9	kouloumpou	kouloumpou	PROPN
cana-2101	180	10	,	,	PUNCT
cana-2101	180	11	d.	d.	PROPN
cana-2101	180	12	(	(	PUNCT
cana-2101	180	13	2020	2020	NUM
cana-2101	180	14	)	)	PUNCT
cana-2101	180	15	.	.	PUNCT
cana-2101	181	1	sbdiem	sbdiem	NOUN
cana-2101	181	2	:	:	PUNCT
cana-2101	181	3	a	a	DET
cana-2101	181	4	new	new	ADJ
cana-2101	181	5	mathematical	mathematical	ADJ
cana-2101	181	6	model	model	NOUN
cana-2101	181	7	of	of	ADP
cana-2101	181	8	infectious	infectious	ADJ
cana-2101	181	9	disease	disease	NOUN
cana-2101	181	10	dynamics	dynamic	NOUN
cana-2101	181	11	.	.	PUNCT
cana-2101	182	1	chaos	chaos	NOUN
cana-2101	182	2	,	,	PUNCT
cana-2101	182	3	solitons	soliton	NOUN
cana-2101	182	4	&	&	CCONJ
cana-2101	182	5	fractals	fractal	NOUN
cana-2101	182	6	,	,	PUNCT
cana-2101	182	7	136	136	NUM
cana-2101	182	8	,	,	PUNCT
cana-2101	182	9	109828	109828	NUM
cana-2101	182	10	.	.	PUNCT
cana-2101	183	1	[	[	X
cana-2101	183	2	4	4	NUM
cana-2101	183	3	]	]	X
cana-2101	183	4	berge	berge	NOUN
cana-2101	183	5	,	,	PUNCT
cana-2101	183	6	t.	t.	PROPN
cana-2101	183	7	,	,	PUNCT
cana-2101	183	8	ouemba	ouemba	NOUN
cana-2101	183	9	tassé	tassé	NOUN
cana-2101	183	10	,	,	PUNCT
cana-2101	183	11	a.	a.	PROPN
cana-2101	183	12	j.	j.	PROPN
cana-2101	183	13	,	,	PUNCT
cana-2101	183	14	tenkam	tenkam	PROPN
cana-2101	183	15	,	,	PUNCT
cana-2101	183	16	h.	h.	PROPN
cana-2101	183	17	m.	m.	PROPN
cana-2101	183	18	,	,	PUNCT
cana-2101	183	19	&	&	CCONJ
cana-2101	183	20	lubuma	lubuma	PROPN
cana-2101	183	21	,	,	PUNCT
cana-2101	183	22	j.	j.	PROPN
cana-2101	183	23	(	(	PUNCT
cana-2101	183	24	2018	2018	NUM
cana-2101	183	25	)	)	PUNCT
cana-2101	183	26	.	.	PUNCT
cana-2101	184	1	mathematical	mathematical	ADJ
cana-2101	184	2	modeling	modeling	NOUN
cana-2101	184	3	of	of	ADP
cana-2101	184	4	contact	contact	NOUN
cana-2101	184	5	tracing	trace	VERB
cana-2101	184	6	as	as	ADP
cana-2101	184	7	a	a	DET
cana-2101	184	8	control	control	NOUN
cana-2101	184	9	strategy	strategy	NOUN
cana-2101	184	10	of	of	ADP
cana-2101	184	11	ebola	ebola	PROPN
cana-2101	184	12	virus	virus	NOUN
cana-2101	184	13	disease	disease	NOUN
cana-2101	184	14	.	.	PUNCT
cana-2101	185	1	international	international	ADJ
cana-2101	185	2	journal	journal	PROPN
cana-2101	185	3	of	of	ADP
cana-2101	185	4	biomathematics	biomathematic	NOUN
cana-2101	185	5	,	,	PUNCT
cana-2101	185	6	11(07	11(07	NUM
cana-2101	185	7	)	)	PUNCT
cana-2101	185	8	,	,	PUNCT
cana-2101	185	9	1850093	1850093	NUM
cana-2101	185	10	.	.	PUNCT
cana-2101	186	1	[	[	X
cana-2101	186	2	5	5	NUM
cana-2101	186	3	]	]	X
cana-2101	186	4	brauer	brauer	PROPN
cana-2101	186	5	,	,	PUNCT
cana-2101	186	6	f.	f.	PROPN
cana-2101	186	7	,	,	PUNCT
cana-2101	186	8	castillo	castillo	PROPN
cana-2101	186	9	-	-	PUNCT
cana-2101	186	10	chavez	chavez	PROPN
cana-2101	186	11	,	,	PUNCT
cana-2101	186	12	c.	c.	PROPN
cana-2101	186	13	,	,	PUNCT
cana-2101	186	14	&	&	CCONJ
cana-2101	186	15	feng	feng	PROPN
cana-2101	186	16	,	,	PUNCT
cana-2101	186	17	z.	z.	PROPN
cana-2101	186	18	(	(	PUNCT
cana-2101	186	19	2019	2019	NUM
cana-2101	186	20	)	)	PUNCT
cana-2101	186	21	.	.	PUNCT
cana-2101	187	1	mathematical	mathematical	ADJ
cana-2101	187	2	models	model	NOUN
cana-2101	187	3	in	in	ADP
cana-2101	187	4	epidemiology	epidemiology	NOUN
cana-2101	187	5	(	(	PUNCT
cana-2101	187	6	vol	vol	NOUN
cana-2101	187	7	.	.	PROPN
cana-2101	187	8	32	32	NUM
cana-2101	187	9	)	)	PUNCT
cana-2101	187	10	.	.	PUNCT
cana-2101	188	1	new	new	PROPN
cana-2101	188	2	york	york	PROPN
cana-2101	188	3	:	:	PUNCT
cana-2101	188	4	springer	springer	NOUN
cana-2101	188	5	.	.	PUNCT
cana-2101	189	1	[	[	X
cana-2101	189	2	6	6	NUM
cana-2101	189	3	]	]	PUNCT
cana-2101	189	4	carvalho	carvalho	NOUN
cana-2101	189	5	,	,	PUNCT
cana-2101	189	6	s.	s.	PROPN
cana-2101	189	7	a.	a.	PROPN
cana-2101	189	8	,	,	PUNCT
cana-2101	189	9	da	da	PROPN
cana-2101	189	10	silva	silva	PROPN
cana-2101	189	11	,	,	PUNCT
cana-2101	189	12	s.	s.	PROPN
cana-2101	189	13	o.	o.	PROPN
cana-2101	189	14	,	,	PUNCT
cana-2101	189	15	&	&	CCONJ
cana-2101	189	16	charret	charret	PROPN
cana-2101	189	17	,	,	PUNCT
cana-2101	189	18	i.	i.	PROPN
cana-2101	189	19	d.	d.	PROPN
cana-2101	189	20	c.	c.	PROPN
cana-2101	189	21	(	(	PUNCT
cana-2101	189	22	2019	2019	NUM
cana-2101	189	23	)	)	PUNCT
cana-2101	189	24	.	.	PUNCT
cana-2101	190	1	mathematical	mathematical	ADJ
cana-2101	190	2	modeling	modeling	NOUN
cana-2101	190	3	of	of	ADP
cana-2101	190	4	dengue	dengue	NOUN
cana-2101	190	5	epidemic	epidemic	NOUN
cana-2101	190	6	:	:	PUNCT
cana-2101	190	7	control	control	NOUN
cana-2101	190	8	methods	method	NOUN
cana-2101	190	9	and	and	CCONJ
cana-2101	190	10	vaccination	vaccination	NOUN
cana-2101	190	11	strategies	strategy	NOUN
cana-2101	190	12	.	.	PUNCT
cana-2101	191	1	theory	theory	NOUN
cana-2101	191	2	in	in	ADP
cana-2101	191	3	biosciences	bioscience	NOUN
cana-2101	191	4	,	,	PUNCT
cana-2101	191	5	138(2	138(2	NUM
cana-2101	191	6	)	)	PUNCT
cana-2101	191	7	,	,	PUNCT
cana-2101	191	8	223	223	NUM
cana-2101	191	9	-	-	SYM
cana-2101	191	10	239	239	NUM
cana-2101	191	11	.	.	PUNCT
cana-2101	192	1	[	[	X
cana-2101	192	2	7	7	NUM
cana-2101	192	3	]	]	X
cana-2101	192	4	chang	chang	PROPN
cana-2101	192	5	,	,	PUNCT
cana-2101	192	6	s.	s.	PROPN
cana-2101	192	7	l.	l.	PROPN
cana-2101	192	8	,	,	PUNCT
cana-2101	192	9	piraveenan	piraveenan	PROPN
cana-2101	192	10	,	,	PUNCT
cana-2101	192	11	m.	m.	NOUN
cana-2101	192	12	,	,	PUNCT
cana-2101	192	13	pattison	pattison	NOUN
cana-2101	192	14	,	,	PUNCT
cana-2101	192	15	p.	p.	PROPN
cana-2101	192	16	,	,	PUNCT
cana-2101	192	17	&	&	CCONJ
cana-2101	192	18	prokopenko	prokopenko	PROPN
cana-2101	192	19	,	,	PUNCT
cana-2101	192	20	m.	m.	NOUN
cana-2101	192	21	(	(	PUNCT
cana-2101	192	22	2020	2020	NUM
cana-2101	192	23	)	)	PUNCT
cana-2101	192	24	.	.	PUNCT
cana-2101	193	1	game	game	NOUN
cana-2101	193	2	theoretic	theoretic	NOUN
cana-2101	193	3	modelling	modelling	NOUN
cana-2101	193	4	of	of	ADP
cana-2101	193	5	infectious	infectious	ADJ
cana-2101	193	6	disease	disease	NOUN
cana-2101	193	7	dynamics	dynamic	NOUN
cana-2101	193	8	and	and	CCONJ
cana-2101	193	9	intervention	intervention	NOUN
cana-2101	193	10	methods	method	NOUN
cana-2101	193	11	:	:	PUNCT
cana-2101	193	12	a	a	DET
cana-2101	193	13	review	review	NOUN
cana-2101	193	14	.	.	PUNCT
cana-2101	194	1	journal	journal	NOUN
cana-2101	194	2	of	of	ADP
cana-2101	194	3	biological	biological	ADJ
cana-2101	194	4	dynamics	dynamic	NOUN
cana-2101	194	5	,	,	PUNCT
cana-2101	194	6	14(1	14(1	NUM
cana-2101	194	7	)	)	PUNCT
cana-2101	194	8	,	,	PUNCT
cana-2101	194	9	57	57	NUM
cana-2101	194	10	-	-	SYM
cana-2101	194	11	89	89	NUM
cana-2101	194	12	.	.	PUNCT
cana-2101	195	1	[	[	X
cana-2101	195	2	8	8	NUM
cana-2101	195	3	]	]	X
cana-2101	195	4	cobey	cobey	NOUN
cana-2101	195	5	,	,	PUNCT
cana-2101	195	6	s.	s.	PROPN
cana-2101	195	7	(	(	PUNCT
cana-2101	195	8	2020	2020	NUM
cana-2101	195	9	)	)	PUNCT
cana-2101	195	10	.	.	PUNCT
cana-2101	196	1	modeling	model	VERB
cana-2101	196	2	infectious	infectious	ADJ
cana-2101	196	3	disease	disease	NOUN
cana-2101	196	4	dynamics	dynamic	NOUN
cana-2101	196	5	.	.	PUNCT
cana-2101	197	1	science	science	NOUN
cana-2101	197	2	,	,	PUNCT
cana-2101	197	3	368(6492	368(6492	NUM
cana-2101	197	4	)	)	PUNCT
cana-2101	197	5	,	,	PUNCT
cana-2101	197	6	713	713	NUM
cana-2101	197	7	-	-	SYM
cana-2101	197	8	714	714	NUM
cana-2101	197	9	.	.	PUNCT
cana-2101	198	1	[	[	X
cana-2101	198	2	9	9	NUM
cana-2101	198	3	]	]	X
cana-2101	198	4	dachollom	dachollom	ADJ
cana-2101	198	5	,	,	PUNCT
cana-2101	198	6	s.	s.	PROPN
cana-2101	198	7	,	,	PUNCT
cana-2101	198	8	&	&	CCONJ
cana-2101	198	9	madubueze	madubueze	PROPN
cana-2101	198	10	,	,	PUNCT
cana-2101	198	11	c.	c.	PROPN
cana-2101	198	12	e.	e.	PROPN
cana-2101	198	13	(	(	PUNCT
cana-2101	198	14	2020	2020	NUM
cana-2101	198	15	)	)	PUNCT
cana-2101	198	16	.	.	PUNCT
cana-2101	199	1	mathematical	mathematical	ADJ
cana-2101	199	2	model	model	NOUN
cana-2101	199	3	of	of	ADP
cana-2101	199	4	the	the	DET
cana-2101	199	5	transmission	transmission	NOUN
cana-2101	199	6	dynamics	dynamic	NOUN
cana-2101	199	7	of	of	ADP
cana-2101	199	8	lassa	lassa	ADJ
cana-2101	199	9	fever	fever	NOUN
cana-2101	199	10	infection	infection	NOUN
cana-2101	199	11	with	with	ADP
cana-2101	199	12	controls	control	NOUN
cana-2101	199	13	.	.	PUNCT
cana-2101	200	1	math	math	NOUN
cana-2101	200	2	.	.	PUNCT
cana-2101	201	1	model	model	PROPN
cana-2101	201	2	appl	appl	PROPN
cana-2101	201	3	,	,	PUNCT
cana-2101	201	4	5	5	NUM
cana-2101	201	5	,	,	PUNCT
cana-2101	201	6	65	65	NUM
cana-2101	201	7	-	-	SYM
cana-2101	201	8	86	86	NUM
cana-2101	201	9	.	.	PUNCT
cana-2101	202	1	[	[	X
cana-2101	202	2	10	10	NUM
cana-2101	202	3	]	]	X
cana-2101	202	4	jenness	jenness	NOUN
cana-2101	202	5	,	,	PUNCT
cana-2101	202	6	s.	s.	PROPN
cana-2101	202	7	m.	m.	PROPN
cana-2101	202	8	,	,	PUNCT
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cana-2101	202	10	,	,	PUNCT
cana-2101	202	11	s.	s.	PROPN
cana-2101	202	12	m.	m.	PROPN
cana-2101	202	13	,	,	PUNCT
cana-2101	202	14	&	&	CCONJ
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cana-2101	202	16	,	,	PUNCT
cana-2101	202	17	m.	m.	NOUN
cana-2101	202	18	(	(	PUNCT
cana-2101	202	19	2018	2018	NUM
cana-2101	202	20	)	)	PUNCT
cana-2101	202	21	.	.	PUNCT
cana-2101	203	1	epimodel	epimodel	PROPN
cana-2101	203	2	:	:	PUNCT
cana-2101	203	3	an	an	DET
cana-2101	203	4	r	r	NOUN
cana-2101	203	5	package	package	NOUN
cana-2101	203	6	for	for	ADP
cana-2101	203	7	mathematical	mathematical	ADJ
cana-2101	203	8	modeling	modeling	NOUN
cana-2101	203	9	of	of	ADP
cana-2101	203	10	infectious	infectious	ADJ
cana-2101	203	11	disease	disease	NOUN
cana-2101	203	12	over	over	ADP
cana-2101	203	13	networks	network	NOUN
cana-2101	203	14	.	.	PUNCT
cana-2101	204	1	journal	journal	NOUN
cana-2101	204	2	of	of	ADP
cana-2101	204	3	statistical	statistical	ADJ
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cana-2101	204	5	,	,	PUNCT
cana-2101	204	6	84	84	NUM
cana-2101	204	7	.	.	PUNCT
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cana-2101	205	2	11	11	NUM
cana-2101	205	3	]	]	SYM
cana-2101	205	4	li	li	PROPN
cana-2101	205	5	,	,	PUNCT
cana-2101	205	6	m.	m.	NOUN
cana-2101	205	7	y.	y.	PROPN
cana-2101	205	8	(	(	PUNCT
cana-2101	205	9	2018	2018	NUM
cana-2101	205	10	)	)	PUNCT
cana-2101	205	11	.	.	PUNCT
cana-2101	206	1	an	an	DET
cana-2101	206	2	introduction	introduction	NOUN
cana-2101	206	3	to	to	ADP
cana-2101	206	4	mathematical	mathematical	ADJ
cana-2101	206	5	modeling	modeling	NOUN
cana-2101	206	6	of	of	ADP
cana-2101	206	7	infectious	infectious	ADJ
cana-2101	206	8	diseases	disease	NOUN
cana-2101	206	9	(	(	PUNCT
cana-2101	206	10	vol	vol	NOUN
cana-2101	206	11	.	.	NOUN
cana-2101	206	12	2	2	NUM
cana-2101	206	13	)	)	PUNCT
cana-2101	206	14	.	.	PUNCT
cana-2101	207	1	cham	cham	PROPN
cana-2101	207	2	,	,	PUNCT
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cana-2101	207	4	:	:	PUNCT
cana-2101	207	5	springer	springer	NOUN
cana-2101	207	6	.	.	PUNCT
cana-2101	208	1	[	[	X
cana-2101	208	2	12	12	NUM
cana-2101	208	3	]	]	X
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cana-2101	208	5	,	,	PUNCT
cana-2101	208	6	r.	r.	PROPN
cana-2101	208	7	,	,	PUNCT
cana-2101	208	8	abed	abe	VERB
cana-2101	208	9	,	,	PUNCT
cana-2101	208	10	h.	h.	PROPN
cana-2101	208	11	s.	s.	PROPN
cana-2101	208	12	,	,	PUNCT
cana-2101	208	13	meskin	meskin	ADJ
cana-2101	208	14	,	,	PUNCT
cana-2101	208	15	n.	n.	NOUN
cana-2101	208	16	,	,	PUNCT
cana-2101	208	17	khattab	khattab	NOUN
cana-2101	208	18	,	,	PUNCT
cana-2101	208	19	t.	t.	NOUN
cana-2101	208	20	,	,	PUNCT
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cana-2101	208	22	,	,	PUNCT
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cana-2101	208	24	,	,	PUNCT
cana-2101	208	25	&	&	CCONJ
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cana-2101	208	27	-	-	PUNCT
cana-2101	208	28	hitmi	hitmi	NOUN
cana-2101	208	29	,	,	PUNCT
cana-2101	208	30	m.	m.	NOUN
cana-2101	208	31	a.	a.	NOUN
cana-2101	208	32	(	(	PUNCT
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cana-2101	208	34	)	)	PUNCT
cana-2101	208	35	.	.	PUNCT
cana-2101	209	1	a	a	DET
cana-2101	209	2	review	review	NOUN
cana-2101	209	3	of	of	ADP
cana-2101	209	4	mathematical	mathematical	ADJ
cana-2101	209	5	model	model	NOUN
cana-2101	209	6	-	-	PUNCT
cana-2101	209	7	based	base	VERB
cana-2101	209	8	scenario	scenario	NOUN
cana-2101	209	9	analysis	analysis	NOUN
cana-2101	209	10	and	and	CCONJ
cana-2101	209	11	interventions	intervention	NOUN
cana-2101	209	12	for	for	ADP
cana-2101	209	13	covid-19	covid-19	PROPN
cana-2101	209	14	.	.	PUNCT
cana-2101	209	15	computer	computer	NOUN
cana-2101	209	16	methods	method	NOUN
cana-2101	209	17	and	and	CCONJ
cana-2101	209	18	programs	program	NOUN
cana-2101	209	19	in	in	ADP
cana-2101	209	20	biomedicine	biomedicine	NOUN
cana-2101	209	21	,	,	PUNCT
cana-2101	209	22	209	209	NUM
cana-2101	209	23	,	,	PUNCT
cana-2101	209	24	106301	106301	NUM
cana-2101	209	25	.	.	PUNCT
cana-2101	210	1	[	[	X
cana-2101	210	2	13	13	NUM
cana-2101	210	3	]	]	SYM
cana-2101	210	4	rabajante	rabajante	NOUN
cana-2101	210	5	,	,	PUNCT
cana-2101	210	6	j.	j.	PROPN
cana-2101	210	7	f.	f.	PROPN
cana-2101	210	8	(	(	PUNCT
cana-2101	210	9	2020	2020	NUM
cana-2101	210	10	)	)	PUNCT
cana-2101	210	11	.	.	PUNCT
cana-2101	211	1	insights	insight	NOUN
cana-2101	211	2	from	from	ADP
cana-2101	211	3	early	early	ADJ
cana-2101	211	4	mathematical	mathematical	ADJ
cana-2101	211	5	models	model	NOUN
cana-2101	211	6	of	of	ADP
cana-2101	211	7	2019	2019	NUM
cana-2101	211	8	-	-	PUNCT
cana-2101	211	9	ncov	ncov	ADV
cana-2101	211	10	acute	acute	ADJ
cana-2101	211	11	respiratory	respiratory	ADJ
cana-2101	211	12	disease	disease	NOUN
cana-2101	211	13	(	(	PUNCT
cana-2101	211	14	covid19	covid19	NOUN
cana-2101	211	15	)	)	PUNCT
cana-2101	211	16	dynamics	dynamic	NOUN
cana-2101	211	17	.	.	PUNCT
cana-2101	212	1	arxiv	arxiv	PROPN
cana-2101	212	2	preprint	preprint	NOUN
cana-2101	212	3	arxiv:2002.05296	arxiv:2002.05296	NOUN
cana-2101	212	4	.	.	PUNCT
cana-2101	213	1	[	[	X
cana-2101	213	2	14	14	NUM
cana-2101	213	3	]	]	X
cana-2101	213	4	sameni	sameni	NOUN
cana-2101	213	5	,	,	PUNCT
cana-2101	213	6	r.	r.	PROPN
cana-2101	213	7	(	(	PUNCT
cana-2101	213	8	2020	2020	NUM
cana-2101	213	9	)	)	PUNCT
cana-2101	213	10	.	.	PUNCT
cana-2101	214	1	mathematical	mathematical	ADJ
cana-2101	214	2	modeling	modeling	NOUN
cana-2101	214	3	of	of	ADP
cana-2101	214	4	epidemic	epidemic	NOUN
cana-2101	214	5	diseases	disease	NOUN
cana-2101	214	6	;	;	PUNCT
cana-2101	214	7	a	a	DET
cana-2101	214	8	case	case	NOUN
cana-2101	214	9	study	study	NOUN
cana-2101	214	10	of	of	ADP
cana-2101	214	11	the	the	DET
cana-2101	214	12	covid-19	covid-19	PROPN
cana-2101	214	13	coronavirus	coronavirus	NOUN
cana-2101	214	14	.	.	PUNCT
cana-2101	215	1	arxiv	arxiv	PROPN
cana-2101	215	2	preprint	preprint	NOUN
cana-2101	215	3	arxiv:2003.11371	arxiv:2003.11371	NOUN
cana-2101	215	4	.	.	PUNCT
cana-2101	216	1	[	[	X
cana-2101	216	2	15	15	NUM
cana-2101	216	3	]	]	X
cana-2101	216	4	wiratsudakul	wiratsudakul	PROPN
cana-2101	216	5	,	,	PUNCT
cana-2101	216	6	a.	a.	NOUN
cana-2101	216	7	,	,	PUNCT
cana-2101	216	8	suparit	suparit	NOUN
cana-2101	216	9	,	,	PUNCT
cana-2101	216	10	p.	p.	NOUN
cana-2101	216	11	,	,	PUNCT
cana-2101	216	12	&	&	CCONJ
cana-2101	216	13	modchang	modchang	PROPN
cana-2101	216	14	,	,	PUNCT
cana-2101	216	15	c.	c.	PROPN
cana-2101	216	16	(	(	PUNCT
cana-2101	216	17	2018	2018	NUM
cana-2101	216	18	)	)	PUNCT
cana-2101	216	19	.	.	PUNCT
cana-2101	217	1	dynamics	dynamic	NOUN
cana-2101	217	2	of	of	ADP
cana-2101	217	3	zika	zika	X
cana-2101	217	4	virus	virus	NOUN
cana-2101	217	5	outbreaks	outbreak	NOUN
cana-2101	217	6	:	:	PUNCT
cana-2101	217	7	an	an	DET
cana-2101	217	8	overview	overview	NOUN
cana-2101	217	9	of	of	ADP
cana-2101	217	10	mathematical	mathematical	ADJ
cana-2101	217	11	modeling	modeling	NOUN
cana-2101	217	12	approaches	approach	NOUN
cana-2101	217	13	.	.	PUNCT
cana-2101	218	1	peerj	peerj	PROPN
cana-2101	218	2	,	,	PUNCT
cana-2101	218	3	6	6	NUM
cana-2101	218	4	,	,	PUNCT
cana-2101	218	5	e4526	e4526	PROPN
cana-2101	218	6	.	.	PUNCT