id	sid	tid	token	lemma	pos
ejpam-6517	1	1	european	european	PROPN
ejpam-6517	1	2	journal	journal	PROPN
ejpam-6517	1	3	of	of	ADP
ejpam-6517	1	4	pure	pure	ADJ
ejpam-6517	1	5	and	and	CCONJ
ejpam-6517	1	6	applied	applied	ADJ
ejpam-6517	1	7	mathematics	mathematic	NOUN
ejpam-6517	1	8	2025	2025	NUM
ejpam-6517	1	9	,	,	PUNCT
ejpam-6517	1	10	vol	vol	NOUN
ejpam-6517	1	11	.	.	PROPN
ejpam-6517	1	12	18	18	NUM
ejpam-6517	1	13	,	,	PUNCT
ejpam-6517	1	14	issue	issue	NOUN
ejpam-6517	1	15	3	3	NUM
ejpam-6517	1	16	,	,	PUNCT
ejpam-6517	1	17	article	article	NOUN
ejpam-6517	1	18	number	number	NOUN
ejpam-6517	1	19	6517	6517	NUM
ejpam-6517	1	20	issn	issn	PROPN
ejpam-6517	1	21	1307	1307	NUM
ejpam-6517	1	22	-	-	SYM
ejpam-6517	1	23	5543	5543	NUM
ejpam-6517	1	24	–	–	PUNCT
ejpam-6517	1	25	ejpam.com	ejpam.com	X
ejpam-6517	1	26	published	publish	VERB
ejpam-6517	1	27	by	by	ADP
ejpam-6517	1	28	new	new	PROPN
ejpam-6517	1	29	york	york	PROPN
ejpam-6517	1	30	business	business	PROPN
ejpam-6517	1	31	global	global	PROPN
ejpam-6517	1	32	numerical	numerical	ADJ
ejpam-6517	1	33	and	and	CCONJ
ejpam-6517	1	34	statistical	statistical	ADJ
ejpam-6517	1	35	sensitivity	sensitivity	NOUN
ejpam-6517	1	36	analysis	analysis	NOUN
ejpam-6517	1	37	of	of	ADP
ejpam-6517	1	38	deterministic	deterministic	ADJ
ejpam-6517	1	39	and	and	CCONJ
ejpam-6517	1	40	stochastic	stochastic	ADJ
ejpam-6517	1	41	sveitr	sveitr	ADJ
ejpam-6517	1	42	model	model	NOUN
ejpam-6517	1	43	for	for	ADP
ejpam-6517	1	44	measles	measle	NOUN
ejpam-6517	1	45	infection	infection	NOUN
ejpam-6517	1	46	madhia	madhia	NOUN
ejpam-6517	1	47	mohiudin1,∗	mohiudin1,∗	PROPN
ejpam-6517	1	48	,	,	PUNCT
ejpam-6517	1	49	sana	sana	PROPN
ejpam-6517	1	50	ullah2	ullah2	PROPN
ejpam-6517	1	51	,	,	PUNCT
ejpam-6517	1	52	shema	shema	PROPN
ejpam-6517	1	53	khan3	khan3	PROPN
ejpam-6517	1	54	,	,	PUNCT
ejpam-6517	1	55	naveed	naveed	PROPN
ejpam-6517	1	56	ahmad4	ahmad4	PROPN
ejpam-6517	1	57	,	,	PUNCT
ejpam-6517	1	58	sadique	sadique	ADJ
ejpam-6517	1	59	ahmad4	ahmad4	PROPN
ejpam-6517	1	60	,	,	PUNCT
ejpam-6517	1	61	mohammed	mohammed	PROPN
ejpam-6517	1	62	a.	a.	PROPN
ejpam-6517	1	63	elaffendi4	elaffendi4	PROPN
ejpam-6517	1	64	1	1	NUM
ejpam-6517	1	65	department	department	NOUN
ejpam-6517	1	66	of	of	ADP
ejpam-6517	1	67	mathematics	mathematic	NOUN
ejpam-6517	1	68	,	,	PUNCT
ejpam-6517	1	69	comsats	comsats	PROPN
ejpam-6517	1	70	university	university	PROPN
ejpam-6517	1	71	islamabad	islamabad	PROPN
ejpam-6517	1	72	,	,	PUNCT
ejpam-6517	1	73	islamabad	islamabad	PROPN
ejpam-6517	1	74	campus	campus	PROPN
ejpam-6517	1	75	,	,	PUNCT
ejpam-6517	1	76	park	park	NOUN
ejpam-6517	1	77	road	road	NOUN
ejpam-6517	1	78	,	,	PUNCT
ejpam-6517	1	79	tarlai	tarlai	PROPN
ejpam-6517	1	80	kalan	kalan	PROPN
ejpam-6517	1	81	,	,	PUNCT
ejpam-6517	1	82	islamabad	islamabad	PROPN
ejpam-6517	1	83	45550	45550	NUM
ejpam-6517	1	84	,	,	PUNCT
ejpam-6517	1	85	pakistan	pakistan	PROPN
ejpam-6517	1	86	2	2	NUM
ejpam-6517	1	87	department	department	NOUN
ejpam-6517	1	88	of	of	ADP
ejpam-6517	1	89	mathematics	mathematic	NOUN
ejpam-6517	1	90	,	,	PUNCT
ejpam-6517	1	91	university	university	NOUN
ejpam-6517	1	92	of	of	ADP
ejpam-6517	1	93	malakand	malakand	PROPN
ejpam-6517	1	94	,	,	PUNCT
ejpam-6517	1	95	chakdara	chakdara	NOUN
ejpam-6517	1	96	dir(l	dir(l	PROPN
ejpam-6517	1	97	)	)	PUNCT
ejpam-6517	1	98	,	,	PUNCT
ejpam-6517	1	99	18000	18000	NUM
ejpam-6517	1	100	,	,	PUNCT
ejpam-6517	1	101	khyber	khyber	PROPN
ejpam-6517	1	102	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-6517	1	103	,	,	PUNCT
ejpam-6517	1	104	pakistan	pakistan	PROPN
ejpam-6517	1	105	3	3	NUM
ejpam-6517	1	106	department	department	NOUN
ejpam-6517	1	107	of	of	ADP
ejpam-6517	1	108	mathematics	mathematic	NOUN
ejpam-6517	1	109	,	,	PUNCT
ejpam-6517	1	110	government	government	NOUN
ejpam-6517	1	111	post	post	NOUN
ejpam-6517	1	112	graduate	graduate	PROPN
ejpam-6517	1	113	jahanzeb	jahanzeb	PROPN
ejpam-6517	1	114	college	college	PROPN
ejpam-6517	1	115	,	,	PUNCT
ejpam-6517	1	116	swat	swat	PROPN
ejpam-6517	1	117	,	,	PUNCT
ejpam-6517	1	118	kpk	kpk	PROPN
ejpam-6517	1	119	,	,	PUNCT
ejpam-6517	1	120	pakistan	pakistan	PROPN
ejpam-6517	1	121	4	4	NUM
ejpam-6517	1	122	ias	ias	PROPN
ejpam-6517	1	123	data	data	NOUN
ejpam-6517	1	124	science	science	NOUN
ejpam-6517	1	125	and	and	CCONJ
ejpam-6517	1	126	blockchain	blockchain	PROPN
ejpam-6517	1	127	laboratory	laboratory	PROPN
ejpam-6517	1	128	,	,	PUNCT
ejpam-6517	1	129	college	college	NOUN
ejpam-6517	1	130	of	of	ADP
ejpam-6517	1	131	computer	computer	NOUN
ejpam-6517	1	132	and	and	CCONJ
ejpam-6517	1	133	information	information	NOUN
ejpam-6517	1	134	sciences	science	NOUN
ejpam-6517	1	135	,	,	PUNCT
ejpam-6517	1	136	prince	prince	PROPN
ejpam-6517	1	137	sultan	sultan	PROPN
ejpam-6517	1	138	university	university	PROPN
ejpam-6517	1	139	,	,	PUNCT
ejpam-6517	1	140	riyadh	riyadh	PROPN
ejpam-6517	1	141	11586	11586	NUM
ejpam-6517	1	142	,	,	PUNCT
ejpam-6517	1	143	saudi	saudi	PROPN
ejpam-6517	1	144	arabia	arabia	PROPN
ejpam-6517	1	145	abstract	abstract	NOUN
ejpam-6517	1	146	.	.	PUNCT
ejpam-6517	2	1	measles	measle	NOUN
ejpam-6517	2	2	is	be	AUX
ejpam-6517	2	3	a	a	DET
ejpam-6517	2	4	global	global	ADJ
ejpam-6517	2	5	health	health	NOUN
ejpam-6517	2	6	concern	concern	NOUN
ejpam-6517	2	7	due	due	ADP
ejpam-6517	2	8	to	to	ADP
ejpam-6517	2	9	its	its	PRON
ejpam-6517	2	10	high	high	ADJ
ejpam-6517	2	11	contagiousness	contagiousness	NOUN
ejpam-6517	2	12	and	and	CCONJ
ejpam-6517	2	13	rapid	rapid	ADJ
ejpam-6517	2	14	transmission	transmission	NOUN
ejpam-6517	2	15	,	,	PUNCT
ejpam-6517	2	16	especially	especially	ADV
ejpam-6517	2	17	in	in	ADP
ejpam-6517	2	18	low	low	ADJ
ejpam-6517	2	19	-	-	PUNCT
ejpam-6517	2	20	vaccination	vaccination	NOUN
ejpam-6517	2	21	areas	area	NOUN
ejpam-6517	2	22	.	.	PUNCT
ejpam-6517	3	1	this	this	DET
ejpam-6517	3	2	article	article	NOUN
ejpam-6517	3	3	uses	use	VERB
ejpam-6517	3	4	an	an	DET
ejpam-6517	3	5	sveitr	sveitr	ADJ
ejpam-6517	3	6	model	model	NOUN
ejpam-6517	3	7	to	to	PART
ejpam-6517	3	8	explain	explain	VERB
ejpam-6517	3	9	measles	measle	NOUN
ejpam-6517	3	10	transmission	transmission	NOUN
ejpam-6517	3	11	and	and	CCONJ
ejpam-6517	3	12	control	control	NOUN
ejpam-6517	3	13	dynamics	dynamic	NOUN
ejpam-6517	3	14	.	.	PUNCT
ejpam-6517	4	1	the	the	DET
ejpam-6517	4	2	model	model	NOUN
ejpam-6517	4	3	is	be	AUX
ejpam-6517	4	4	stable	stable	ADJ
ejpam-6517	4	5	at	at	ADP
ejpam-6517	4	6	two	two	NUM
ejpam-6517	4	7	equilibria	equilibrium	NOUN
ejpam-6517	4	8	and	and	CCONJ
ejpam-6517	4	9	can	can	AUX
ejpam-6517	4	10	be	be	AUX
ejpam-6517	4	11	verified	verify	VERB
ejpam-6517	4	12	using	use	VERB
ejpam-6517	4	13	the	the	DET
ejpam-6517	4	14	non	non	ADJ
ejpam-6517	4	15	-	-	ADJ
ejpam-6517	4	16	standard	standard	ADJ
ejpam-6517	4	17	finite	finite	ADJ
ejpam-6517	4	18	difference	difference	NOUN
ejpam-6517	4	19	(	(	PUNCT
ejpam-6517	4	20	nsfd	nsfd	ADJ
ejpam-6517	4	21	)	)	PUNCT
ejpam-6517	4	22	technique	technique	NOUN
ejpam-6517	4	23	.	.	PUNCT
ejpam-6517	5	1	the	the	DET
ejpam-6517	5	2	study	study	NOUN
ejpam-6517	5	3	offers	offer	VERB
ejpam-6517	5	4	valuable	valuable	ADJ
ejpam-6517	5	5	advice	advice	NOUN
ejpam-6517	5	6	to	to	ADP
ejpam-6517	5	7	public	public	ADJ
ejpam-6517	5	8	health	health	NOUN
ejpam-6517	5	9	professionals	professional	NOUN
ejpam-6517	5	10	and	and	CCONJ
ejpam-6517	5	11	legislators	legislator	NOUN
ejpam-6517	5	12	working	work	VERB
ejpam-6517	5	13	to	to	PART
ejpam-6517	5	14	prevent	prevent	VERB
ejpam-6517	5	15	and	and	CCONJ
ejpam-6517	5	16	manage	manage	VERB
ejpam-6517	5	17	measles	measle	NOUN
ejpam-6517	5	18	,	,	PUNCT
ejpam-6517	5	19	highlighting	highlight	VERB
ejpam-6517	5	20	the	the	DET
ejpam-6517	5	21	importance	importance	NOUN
ejpam-6517	5	22	of	of	ADP
ejpam-6517	5	23	international	international	ADJ
ejpam-6517	5	24	cooperation	cooperation	NOUN
ejpam-6517	5	25	and	and	CCONJ
ejpam-6517	5	26	vaccination	vaccination	NOUN
ejpam-6517	5	27	in	in	ADP
ejpam-6517	5	28	preventing	prevent	VERB
ejpam-6517	5	29	the	the	DET
ejpam-6517	5	30	disease	disease	NOUN
ejpam-6517	5	31	’s	’s	PART
ejpam-6517	5	32	return	return	NOUN
ejpam-6517	5	33	.	.	PUNCT
ejpam-6517	6	1	2020	2020	NUM
ejpam-6517	6	2	mathematics	mathematic	NOUN
ejpam-6517	6	3	subject	subject	NOUN
ejpam-6517	6	4	classifications	classification	NOUN
ejpam-6517	6	5	:	:	PUNCT
ejpam-6517	6	6	92d30	92d30	NUM
ejpam-6517	6	7	,	,	PUNCT
ejpam-6517	6	8	34d20	34d20	NUM
ejpam-6517	6	9	,	,	PUNCT
ejpam-6517	6	10	60h10	60h10	NUM
ejpam-6517	6	11	,	,	PUNCT
ejpam-6517	6	12	65l12	65l12	NUM
ejpam-6517	6	13	key	key	ADJ
ejpam-6517	6	14	words	word	NOUN
ejpam-6517	6	15	and	and	CCONJ
ejpam-6517	6	16	phrases	phrase	NOUN
ejpam-6517	6	17	:	:	PUNCT
ejpam-6517	6	18	statistical	statistical	ADJ
ejpam-6517	6	19	sensitivity	sensitivity	NOUN
ejpam-6517	6	20	analysis	analysis	NOUN
ejpam-6517	6	21	,	,	PUNCT
ejpam-6517	6	22	basic	basic	ADJ
ejpam-6517	6	23	reproduction	reproduction	NOUN
ejpam-6517	6	24	number	number	NOUN
ejpam-6517	6	25	,	,	PUNCT
ejpam-6517	6	26	global	global	ADJ
ejpam-6517	6	27	stability	stability	NOUN
ejpam-6517	6	28	,	,	PUNCT
ejpam-6517	6	29	lyapunov	lyapunov	NOUN
ejpam-6517	6	30	function	function	NOUN
ejpam-6517	6	31	,	,	PUNCT
ejpam-6517	6	32	stochastic	stochastic	ADJ
ejpam-6517	6	33	sveitr	sveitr	ADJ
ejpam-6517	6	34	model	model	NOUN
ejpam-6517	6	35	1	1	NUM
ejpam-6517	6	36	.	.	PUNCT
ejpam-6517	7	1	introduction	introduction	NOUN
ejpam-6517	7	2	measles	measle	NOUN
ejpam-6517	7	3	is	be	AUX
ejpam-6517	7	4	an	an	DET
ejpam-6517	7	5	extremely	extremely	ADV
ejpam-6517	7	6	transmissible	transmissible	ADJ
ejpam-6517	7	7	virus	virus	NOUN
ejpam-6517	7	8	that	that	PRON
ejpam-6517	7	9	has	have	AUX
ejpam-6517	7	10	remained	remain	VERB
ejpam-6517	7	11	a	a	DET
ejpam-6517	7	12	major	major	ADJ
ejpam-6517	7	13	worldwide	worldwide	ADJ
ejpam-6517	7	14	health	health	NOUN
ejpam-6517	7	15	problem	problem	NOUN
ejpam-6517	7	16	in	in	ADP
ejpam-6517	7	17	spite	spite	NOUN
ejpam-6517	7	18	of	of	ADP
ejpam-6517	7	19	medical	medical	ADJ
ejpam-6517	7	20	science	science	NOUN
ejpam-6517	7	21	improvements	improvement	NOUN
ejpam-6517	7	22	.	.	PUNCT
ejpam-6517	8	1	measles	measle	NOUN
ejpam-6517	8	2	,	,	PUNCT
ejpam-6517	8	3	which	which	PRON
ejpam-6517	8	4	is	be	AUX
ejpam-6517	8	5	characterized	characterize	VERB
ejpam-6517	8	6	by	by	ADP
ejpam-6517	8	7	a	a	DET
ejpam-6517	8	8	characteristic	characteristic	ADJ
ejpam-6517	8	9	rash	rash	NOUN
ejpam-6517	8	10	and	and	CCONJ
ejpam-6517	8	11	influenza	influenza	NOUN
ejpam-6517	8	12	-	-	PUNCT
ejpam-6517	8	13	like	like	ADJ
ejpam-6517	8	14	symptoms	symptom	NOUN
ejpam-6517	8	15	,	,	PUNCT
ejpam-6517	8	16	is	be	AUX
ejpam-6517	8	17	a	a	DET
ejpam-6517	8	18	serious	serious	ADJ
ejpam-6517	8	19	concern	concern	NOUN
ejpam-6517	8	20	,	,	PUNCT
ejpam-6517	8	21	especially	especially	ADV
ejpam-6517	8	22	in	in	ADP
ejpam-6517	8	23	places	place	NOUN
ejpam-6517	8	24	with	with	ADP
ejpam-6517	8	25	poor	poor	ADJ
ejpam-6517	8	26	vaccination	vaccination	NOUN
ejpam-6517	8	27	rates	rate	NOUN
ejpam-6517	8	28	and	and	CCONJ
ejpam-6517	8	29	limited	limited	ADJ
ejpam-6517	8	30	access	access	NOUN
ejpam-6517	8	31	to	to	ADP
ejpam-6517	8	32	healthcare	healthcare	NOUN
ejpam-6517	8	33	[	[	X
ejpam-6517	8	34	1	1	NUM
ejpam-6517	8	35	]	]	PUNCT
ejpam-6517	8	36	.	.	PUNCT
ejpam-6517	9	1	respiratory	respiratory	ADJ
ejpam-6517	9	2	droplets	droplet	NOUN
ejpam-6517	9	3	are	be	AUX
ejpam-6517	9	4	∗corresponding	∗corresponde	VERB
ejpam-6517	9	5	author	author	NOUN
ejpam-6517	9	6	.	.	PUNCT
ejpam-6517	10	1	doi	doi	NOUN
ejpam-6517	10	2	:	:	PUNCT
ejpam-6517	10	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6517	https://doi.org/10.29020/nybg.ejpam.v18i3.6517	PROPN
ejpam-6517	10	4	email	email	NOUN
ejpam-6517	10	5	addresses	address	VERB
ejpam-6517	10	6	:	:	PUNCT
ejpam-6517	10	7	madhia.mohiudin@gmail.com	madhia.mohiudin@gmail.com	X
ejpam-6517	10	8	(	(	PUNCT
ejpam-6517	10	9	m.	m.	NOUN
ejpam-6517	10	10	mohiudin	mohiudin	PROPN
ejpam-6517	10	11	)	)	PUNCT
ejpam-6517	10	12	,	,	PUNCT
ejpam-6517	10	13	safi1987maths@gmail.com	safi1987maths@gmail.com	X
ejpam-6517	10	14	(	(	PUNCT
ejpam-6517	10	15	s.	s.	PROPN
ejpam-6517	10	16	ullah	ullah	PROPN
ejpam-6517	10	17	)	)	PUNCT
ejpam-6517	10	18	,	,	PUNCT
ejpam-6517	10	19	shemakhan805@gmail.com	shemakhan805@gmail.com	X
ejpam-6517	10	20	(	(	PUNCT
ejpam-6517	10	21	s.	s.	PROPN
ejpam-6517	10	22	khan	khan	PROPN
ejpam-6517	10	23	)	)	PUNCT
ejpam-6517	10	24	,	,	PUNCT
ejpam-6517	10	25	nahmed@psu.edu.sa	nahmed@psu.edu.sa	PROPN
ejpam-6517	10	26	(	(	PUNCT
ejpam-6517	10	27	n.	n.	PROPN
ejpam-6517	10	28	ahmad	ahmad	PROPN
ejpam-6517	10	29	)	)	PUNCT
ejpam-6517	10	30	,	,	PUNCT
ejpam-6517	10	31	saahmad@psu.edu.sa	saahmad@psu.edu.sa	PROPN
ejpam-6517	10	32	(	(	PUNCT
ejpam-6517	10	33	s.	s.	PROPN
ejpam-6517	10	34	ahmad	ahmad	PROPN
ejpam-6517	10	35	)	)	PUNCT
ejpam-6517	10	36	,	,	PUNCT
ejpam-6517	10	37	affendi@psu.edu.sa	affendi@psu.edu.sa	PROPN
ejpam-6517	10	38	(	(	PUNCT
ejpam-6517	10	39	m.	m.	NOUN
ejpam-6517	10	40	a.	a.	NOUN
ejpam-6517	10	41	elaffendi	elaffendi	PROPN
ejpam-6517	10	42	)	)	PUNCT
ejpam-6517	10	43	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6517	10	44	1	1	NUM
ejpam-6517	10	45	copyright	copyright	NOUN
ejpam-6517	10	46	:	:	PUNCT
ejpam-6517	11	1	©	©	PROPN
ejpam-6517	11	2	2025	2025	NUM
ejpam-6517	11	3	the	the	DET
ejpam-6517	11	4	author(s	author(s	NOUN
ejpam-6517	11	5	)	)	PUNCT
ejpam-6517	11	6	.	.	PUNCT
ejpam-6517	12	1	(	(	PUNCT
ejpam-6517	12	2	cc	cc	NOUN
ejpam-6517	12	3	by	by	ADP
ejpam-6517	12	4	-	-	PUNCT
ejpam-6517	12	5	nc	nc	PROPN
ejpam-6517	12	6	4.0	4.0	NUM
ejpam-6517	12	7	)	)	PUNCT
ejpam-6517	12	8	m.	m.	NOUN
ejpam-6517	12	9	mohiudin	mohiudin	PROPN
ejpam-6517	12	10	et	et	PROPN
ejpam-6517	12	11	al	al	PROPN
ejpam-6517	12	12	.	.	PUNCT
ejpam-6517	12	13	/	/	SYM
ejpam-6517	12	14	eur	eur	PROPN
ejpam-6517	12	15	.	.	PUNCT
ejpam-6517	13	1	j.	j.	PROPN
ejpam-6517	13	2	pure	pure	PROPN
ejpam-6517	13	3	appl	appl	PROPN
ejpam-6517	13	4	.	.	PROPN
ejpam-6517	13	5	math	math	PROPN
ejpam-6517	13	6	,	,	PUNCT
ejpam-6517	13	7	18	18	NUM
ejpam-6517	13	8	(	(	PUNCT
ejpam-6517	13	9	3	3	NUM
ejpam-6517	13	10	)	)	PUNCT
ejpam-6517	13	11	(	(	PUNCT
ejpam-6517	13	12	2025	2025	NUM
ejpam-6517	13	13	)	)	PUNCT
ejpam-6517	13	14	,	,	PUNCT
ejpam-6517	13	15	6517	6517	NUM
ejpam-6517	13	16	2	2	NUM
ejpam-6517	13	17	of	of	ADP
ejpam-6517	13	18	40	40	NUM
ejpam-6517	13	19	the	the	DET
ejpam-6517	13	20	main	main	ADJ
ejpam-6517	13	21	way	way	NOUN
ejpam-6517	13	22	that	that	PRON
ejpam-6517	13	23	the	the	DET
ejpam-6517	13	24	measles	measle	NOUN
ejpam-6517	13	25	virus	virus	NOUN
ejpam-6517	13	26	(	(	PUNCT
ejpam-6517	13	27	mev	mev	PROPN
ejpam-6517	13	28	)	)	PUNCT
ejpam-6517	13	29	,	,	PUNCT
ejpam-6517	13	30	which	which	PRON
ejpam-6517	13	31	causes	cause	VERB
ejpam-6517	13	32	the	the	DET
ejpam-6517	13	33	viral	viral	ADJ
ejpam-6517	13	34	infection	infection	NOUN
ejpam-6517	13	35	,	,	PUNCT
ejpam-6517	13	36	is	be	AUX
ejpam-6517	13	37	spread	spread	VERB
ejpam-6517	13	38	.	.	PUNCT
ejpam-6517	14	1	its	its	PRON
ejpam-6517	14	2	high	high	ADJ
ejpam-6517	14	3	contagiousness	contagiousness	NOUN
ejpam-6517	14	4	is	be	AUX
ejpam-6517	14	5	highlighted	highlight	VERB
ejpam-6517	14	6	by	by	ADP
ejpam-6517	14	7	the	the	DET
ejpam-6517	14	8	fact	fact	NOUN
ejpam-6517	14	9	that	that	SCONJ
ejpam-6517	14	10	an	an	DET
ejpam-6517	14	11	infected	infected	ADJ
ejpam-6517	14	12	person	person	NOUN
ejpam-6517	14	13	might	might	AUX
ejpam-6517	14	14	spread	spread	VERB
ejpam-6517	14	15	the	the	DET
ejpam-6517	14	16	illness	illness	NOUN
ejpam-6517	14	17	to	to	ADP
ejpam-6517	14	18	others	other	NOUN
ejpam-6517	14	19	before	before	ADP
ejpam-6517	14	20	symptom	symptom	NOUN
ejpam-6517	14	21	manifest	manifest	PROPN
ejpam-6517	14	22	.	.	PUNCT
ejpam-6517	15	1	measles	measle	NOUN
ejpam-6517	15	2	,	,	PUNCT
ejpam-6517	15	3	which	which	PRON
ejpam-6517	15	4	is	be	AUX
ejpam-6517	15	5	spread	spread	VERB
ejpam-6517	15	6	by	by	ADP
ejpam-6517	15	7	inhaling	inhale	VERB
ejpam-6517	15	8	air	air	NOUN
ejpam-6517	15	9	polluted	pollute	VERB
ejpam-6517	15	10	by	by	ADP
ejpam-6517	15	11	asymptomatic	asymptomatic	ADJ
ejpam-6517	15	12	individuals	individual	NOUN
ejpam-6517	15	13	or	or	CCONJ
ejpam-6517	15	14	by	by	ADP
ejpam-6517	15	15	coming	come	VERB
ejpam-6517	15	16	into	into	ADP
ejpam-6517	15	17	contact	contact	NOUN
ejpam-6517	15	18	with	with	ADP
ejpam-6517	15	19	contagious	contagious	ADJ
ejpam-6517	15	20	respiratory	respiratory	NOUN
ejpam-6517	15	21	or	or	CCONJ
ejpam-6517	15	22	swallowing	swallow	VERB
ejpam-6517	15	23	secretions	secretion	NOUN
ejpam-6517	15	24	(	(	PUNCT
ejpam-6517	15	25	things	thing	NOUN
ejpam-6517	15	26	like	like	ADP
ejpam-6517	15	27	coughing	cough	VERB
ejpam-6517	15	28	or	or	CCONJ
ejpam-6517	15	29	sneezing	sneeze	VERB
ejpam-6517	15	30	)	)	PUNCT
ejpam-6517	15	31	,	,	PUNCT
ejpam-6517	15	32	is	be	AUX
ejpam-6517	15	33	one	one	NUM
ejpam-6517	15	34	of	of	ADP
ejpam-6517	15	35	the	the	DET
ejpam-6517	15	36	most	most	ADV
ejpam-6517	15	37	widely	widely	ADV
ejpam-6517	15	38	transmitted	transmit	VERB
ejpam-6517	15	39	contagious	contagious	ADJ
ejpam-6517	15	40	diseases	disease	NOUN
ejpam-6517	15	41	in	in	ADP
ejpam-6517	15	42	the	the	DET
ejpam-6517	15	43	world	world	NOUN
ejpam-6517	15	44	.	.	PUNCT
ejpam-6517	16	1	for	for	ADP
ejpam-6517	16	2	as	as	ADV
ejpam-6517	16	3	long	long	ADJ
ejpam-6517	16	4	as	as	ADP
ejpam-6517	16	5	two	two	NUM
ejpam-6517	16	6	hours	hour	NOUN
ejpam-6517	16	7	,	,	PUNCT
ejpam-6517	16	8	the	the	DET
ejpam-6517	16	9	virus	virus	NOUN
ejpam-6517	16	10	can	can	AUX
ejpam-6517	16	11	be	be	AUX
ejpam-6517	16	12	spread	spread	VERB
ejpam-6517	16	13	through	through	ADP
ejpam-6517	16	14	the	the	DET
ejpam-6517	16	15	atmosphere	atmosphere	NOUN
ejpam-6517	16	16	or	or	CCONJ
ejpam-6517	16	17	on	on	ADP
ejpam-6517	16	18	contaminated	contaminate	VERB
ejpam-6517	16	19	surfaces	surface	NOUN
ejpam-6517	16	20	.	.	PUNCT
ejpam-6517	17	1	because	because	SCONJ
ejpam-6517	17	2	of	of	ADP
ejpam-6517	17	3	this	this	PRON
ejpam-6517	17	4	,	,	PUNCT
ejpam-6517	17	5	measles	measle	NOUN
ejpam-6517	17	6	is	be	AUX
ejpam-6517	17	7	extremely	extremely	ADV
ejpam-6517	17	8	contagious	contagious	ADJ
ejpam-6517	17	9	,	,	PUNCT
ejpam-6517	17	10	and	and	CCONJ
ejpam-6517	17	11	an	an	DET
ejpam-6517	17	12	infected	infected	ADJ
ejpam-6517	17	13	individual	individual	NOUN
ejpam-6517	17	14	can	can	AUX
ejpam-6517	17	15	spread	spread	VERB
ejpam-6517	17	16	the	the	DET
ejpam-6517	17	17	disease	disease	NOUN
ejpam-6517	17	18	to	to	ADP
ejpam-6517	17	19	nine	nine	NUM
ejpam-6517	17	20	among	among	ADP
ejpam-6517	17	21	ten	ten	NUM
ejpam-6517	17	22	of	of	ADP
ejpam-6517	17	23	their	their	PRON
ejpam-6517	17	24	close	close	ADJ
ejpam-6517	17	25	,	,	PUNCT
ejpam-6517	17	26	unvaccinated	unvaccinated	ADJ
ejpam-6517	17	27	acquaintances	acquaintance	NOUN
ejpam-6517	17	28	.	.	PUNCT
ejpam-6517	18	1	an	an	DET
ejpam-6517	18	2	infected	infected	ADJ
ejpam-6517	18	3	person	person	NOUN
ejpam-6517	18	4	can	can	AUX
ejpam-6517	18	5	spread	spread	VERB
ejpam-6517	18	6	it	it	PRON
ejpam-6517	18	7	between	between	ADP
ejpam-6517	18	8	four	four	NUM
ejpam-6517	18	9	days	day	NOUN
ejpam-6517	18	10	before	before	SCONJ
ejpam-6517	18	11	the	the	DET
ejpam-6517	18	12	rash	rash	NOUN
ejpam-6517	18	13	appears	appear	VERB
ejpam-6517	18	14	and	and	CCONJ
ejpam-6517	18	15	four	four	NUM
ejpam-6517	18	16	days	day	NOUN
ejpam-6517	18	17	after	after	SCONJ
ejpam-6517	18	18	it	it	PRON
ejpam-6517	18	19	does	do	VERB
ejpam-6517	18	20	.	.	PUNCT
ejpam-6517	19	1	outbreaks	outbreak	NOUN
ejpam-6517	19	2	of	of	ADP
ejpam-6517	19	3	measles	measle	NOUN
ejpam-6517	19	4	can	can	AUX
ejpam-6517	19	5	cause	cause	VERB
ejpam-6517	19	6	serious	serious	ADJ
ejpam-6517	19	7	complications	complication	NOUN
ejpam-6517	19	8	and	and	CCONJ
ejpam-6517	19	9	even	even	ADV
ejpam-6517	19	10	death	death	NOUN
ejpam-6517	19	11	,	,	PUNCT
ejpam-6517	19	12	particularly	particularly	ADV
ejpam-6517	19	13	in	in	ADP
ejpam-6517	19	14	young	young	ADJ
ejpam-6517	19	15	,	,	PUNCT
ejpam-6517	19	16	undernourished	undernourished	ADJ
ejpam-6517	19	17	children	child	NOUN
ejpam-6517	19	18	.	.	PUNCT
ejpam-6517	20	1	in	in	ADP
ejpam-6517	20	2	nations	nation	NOUN
ejpam-6517	20	3	nearing	near	VERB
ejpam-6517	20	4	measles	measle	NOUN
ejpam-6517	20	5	eradication	eradication	NOUN
ejpam-6517	20	6	,	,	PUNCT
ejpam-6517	20	7	imported	import	VERB
ejpam-6517	20	8	cases	case	NOUN
ejpam-6517	20	9	continue	continue	VERB
ejpam-6517	20	10	to	to	PART
ejpam-6517	20	11	be	be	AUX
ejpam-6517	20	12	a	a	DET
ejpam-6517	20	13	significant	significant	ADJ
ejpam-6517	20	14	source	source	NOUN
ejpam-6517	20	15	of	of	ADP
ejpam-6517	20	16	infection	infection	NOUN
ejpam-6517	20	17	.	.	PUNCT
ejpam-6517	21	1	measles	measle	NOUN
ejpam-6517	21	2	may	may	AUX
ejpam-6517	21	3	spread	spread	VERB
ejpam-6517	21	4	quickly	quickly	ADV
ejpam-6517	21	5	,	,	PUNCT
ejpam-6517	21	6	which	which	PRON
ejpam-6517	21	7	makes	make	VERB
ejpam-6517	21	8	it	it	PRON
ejpam-6517	21	9	a	a	DET
ejpam-6517	21	10	powerful	powerful	ADJ
ejpam-6517	21	11	outbreak	outbreak	NOUN
ejpam-6517	21	12	agent	agent	NOUN
ejpam-6517	21	13	,	,	PUNCT
ejpam-6517	21	14	particularly	particularly	ADV
ejpam-6517	21	15	in	in	ADP
ejpam-6517	21	16	areas	area	NOUN
ejpam-6517	21	17	with	with	ADP
ejpam-6517	21	18	high	high	ADJ
ejpam-6517	21	19	population	population	NOUN
ejpam-6517	21	20	density	density	NOUN
ejpam-6517	22	1	[	[	X
ejpam-6517	22	2	2	2	NUM
ejpam-6517	22	3	,	,	PUNCT
ejpam-6517	22	4	3	3	NUM
ejpam-6517	22	5	]	]	PUNCT
ejpam-6517	22	6	.	.	PUNCT
ejpam-6517	23	1	the	the	DET
ejpam-6517	23	2	first	first	ADJ
ejpam-6517	23	3	signs	sign	NOUN
ejpam-6517	23	4	of	of	ADP
ejpam-6517	23	5	a	a	DET
ejpam-6517	23	6	measles	measle	NOUN
ejpam-6517	23	7	infection	infection	NOUN
ejpam-6517	23	8	appear	appear	VERB
ejpam-6517	23	9	after	after	ADP
ejpam-6517	23	10	an	an	DET
ejpam-6517	23	11	incubation	incubation	NOUN
ejpam-6517	23	12	time	time	NOUN
ejpam-6517	23	13	frame	frame	NOUN
ejpam-6517	23	14	of	of	ADP
ejpam-6517	23	15	roughly	roughly	ADV
ejpam-6517	23	16	10	10	NUM
ejpam-6517	23	17	to	to	PART
ejpam-6517	23	18	14	14	NUM
ejpam-6517	23	19	days	day	NOUN
ejpam-6517	23	20	.	.	PUNCT
ejpam-6517	24	1	red	red	ADJ
ejpam-6517	24	2	,	,	PUNCT
ejpam-6517	24	3	watery	watery	ADJ
ejpam-6517	24	4	eyes	eye	NOUN
ejpam-6517	24	5	,	,	PUNCT
ejpam-6517	24	6	a	a	DET
ejpam-6517	24	7	runny	runny	ADJ
ejpam-6517	24	8	nose	nose	NOUN
ejpam-6517	24	9	,	,	PUNCT
ejpam-6517	24	10	coughing	coughing	NOUN
ejpam-6517	24	11	,	,	PUNCT
ejpam-6517	24	12	a	a	DET
ejpam-6517	24	13	severe	severe	ADJ
ejpam-6517	24	14	temperature	temperature	NOUN
ejpam-6517	24	15	,	,	PUNCT
ejpam-6517	24	16	and	and	CCONJ
ejpam-6517	24	17	a	a	DET
ejpam-6517	24	18	body	body	NOUN
ejpam-6517	24	19	rash	rash	NOUN
ejpam-6517	24	20	are	be	AUX
ejpam-6517	24	21	common	common	ADJ
ejpam-6517	24	22	symptoms	symptom	NOUN
ejpam-6517	24	23	.	.	PUNCT
ejpam-6517	25	1	the	the	DET
ejpam-6517	25	2	trait	trait	NOUN
ejpam-6517	25	3	measles	measle	NOUN
ejpam-6517	25	4	rash	rash	ADJ
ejpam-6517	25	5	usually	usually	ADV
ejpam-6517	25	6	starts	start	VERB
ejpam-6517	25	7	on	on	ADP
ejpam-6517	25	8	the	the	DET
ejpam-6517	25	9	neck	neck	NOUN
ejpam-6517	25	10	and	and	CCONJ
ejpam-6517	25	11	face	face	NOUN
ejpam-6517	25	12	and	and	CCONJ
ejpam-6517	25	13	spreads	spread	VERB
ejpam-6517	25	14	down	down	ADP
ejpam-6517	25	15	the	the	DET
ejpam-6517	25	16	body	body	NOUN
ejpam-6517	25	17	7	7	NUM
ejpam-6517	25	18	-	-	SYM
ejpam-6517	25	19	18	18	NUM
ejpam-6517	25	20	days	day	NOUN
ejpam-6517	25	21	later	later	ADV
ejpam-6517	25	22	contact	contact	NOUN
ejpam-6517	25	23	[	[	X
ejpam-6517	25	24	4	4	NUM
ejpam-6517	25	25	]	]	PUNCT
ejpam-6517	25	26	.	.	PUNCT
ejpam-6517	26	1	it	it	PRON
ejpam-6517	26	2	often	often	ADV
ejpam-6517	26	3	fades	fade	VERB
ejpam-6517	26	4	after	after	ADP
ejpam-6517	26	5	5	5	NUM
ejpam-6517	26	6	-	-	SYM
ejpam-6517	26	7	6	6	NUM
ejpam-6517	26	8	days	day	NOUN
ejpam-6517	26	9	.	.	PUNCT
ejpam-6517	27	1	after	after	ADP
ejpam-6517	27	2	infecting	infect	VERB
ejpam-6517	27	3	the	the	DET
ejpam-6517	27	4	respiratory	respiratory	ADJ
ejpam-6517	27	5	system	system	NOUN
ejpam-6517	27	6	,	,	PUNCT
ejpam-6517	27	7	the	the	DET
ejpam-6517	27	8	measles	measle	NOUN
ejpam-6517	27	9	virus	virus	NOUN
ejpam-6517	27	10	progresses	progress	VERB
ejpam-6517	27	11	throughout	throughout	ADP
ejpam-6517	27	12	the	the	DET
ejpam-6517	27	13	body	body	NOUN
ejpam-6517	27	14	.	.	PUNCT
ejpam-6517	28	1	although	although	SCONJ
ejpam-6517	28	2	it	it	PRON
ejpam-6517	28	3	can	can	AUX
ejpam-6517	28	4	infect	infect	VERB
ejpam-6517	28	5	anyone	anyone	PRON
ejpam-6517	28	6	,	,	PUNCT
ejpam-6517	28	7	children	child	NOUN
ejpam-6517	28	8	are	be	AUX
ejpam-6517	28	9	more	more	ADV
ejpam-6517	28	10	frequently	frequently	ADV
ejpam-6517	28	11	infected	infect	VERB
ejpam-6517	28	12	with	with	ADP
ejpam-6517	28	13	the	the	DET
ejpam-6517	28	14	measles	measle	NOUN
ejpam-6517	28	15	virus	virus	NOUN
ejpam-6517	28	16	.	.	PUNCT
ejpam-6517	29	1	complications	complication	NOUN
ejpam-6517	29	2	can	can	AUX
ejpam-6517	29	3	occur	occur	VERB
ejpam-6517	29	4	,	,	PUNCT
ejpam-6517	29	5	even	even	ADV
ejpam-6517	29	6	though	though	SCONJ
ejpam-6517	29	7	most	most	ADJ
ejpam-6517	29	8	people	people	NOUN
ejpam-6517	29	9	recover	recover	VERB
ejpam-6517	29	10	in	in	ADP
ejpam-6517	29	11	a	a	DET
ejpam-6517	29	12	few	few	ADJ
ejpam-6517	29	13	weeks	week	NOUN
ejpam-6517	29	14	,	,	PUNCT
ejpam-6517	29	15	particularly	particularly	ADV
ejpam-6517	29	16	in	in	ADP
ejpam-6517	29	17	susceptible	susceptible	ADJ
ejpam-6517	29	18	groups	group	NOUN
ejpam-6517	29	19	such	such	ADJ
ejpam-6517	29	20	small	small	ADJ
ejpam-6517	29	21	children	child	NOUN
ejpam-6517	29	22	,	,	PUNCT
ejpam-6517	29	23	pregnant	pregnant	ADJ
ejpam-6517	29	24	women	woman	NOUN
ejpam-6517	29	25	,	,	PUNCT
ejpam-6517	29	26	and	and	CCONJ
ejpam-6517	29	27	those	those	PRON
ejpam-6517	29	28	with	with	ADP
ejpam-6517	29	29	compromised	compromise	VERB
ejpam-6517	29	30	immune	immune	ADJ
ejpam-6517	29	31	systems	system	NOUN
ejpam-6517	29	32	.	.	PUNCT
ejpam-6517	30	1	women	woman	NOUN
ejpam-6517	30	2	who	who	PRON
ejpam-6517	30	3	contract	contract	VERB
ejpam-6517	30	4	measles	measle	NOUN
ejpam-6517	30	5	during	during	ADP
ejpam-6517	30	6	pregnancy	pregnancy	NOUN
ejpam-6517	30	7	run	run	VERB
ejpam-6517	30	8	the	the	DET
ejpam-6517	30	9	risk	risk	NOUN
ejpam-6517	30	10	of	of	ADP
ejpam-6517	30	11	harming	harm	VERB
ejpam-6517	30	12	themselves	themselves	PRON
ejpam-6517	30	13	and	and	CCONJ
ejpam-6517	30	14	giving	give	VERB
ejpam-6517	30	15	birth	birth	NOUN
ejpam-6517	30	16	to	to	ADP
ejpam-6517	30	17	a	a	DET
ejpam-6517	30	18	preterm	preterm	NOUN
ejpam-6517	30	19	,	,	PUNCT
ejpam-6517	30	20	underweight	underweight	NOUN
ejpam-6517	30	21	child	child	NOUN
ejpam-6517	30	22	.	.	PUNCT
ejpam-6517	31	1	measles	measle	NOUN
ejpam-6517	31	2	can	can	AUX
ejpam-6517	31	3	cause	cause	VERB
ejpam-6517	31	4	serious	serious	ADJ
ejpam-6517	31	5	complications	complication	NOUN
ejpam-6517	31	6	,	,	PUNCT
ejpam-6517	31	7	such	such	ADJ
ejpam-6517	31	8	as	as	ADP
ejpam-6517	31	9	brain	brain	NOUN
ejpam-6517	31	10	inflammation	inflammation	NOUN
ejpam-6517	31	11	,	,	PUNCT
ejpam-6517	31	12	pneumonia	pneumonia	NOUN
ejpam-6517	31	13	,	,	PUNCT
ejpam-6517	31	14	blindness	blindness	NOUN
ejpam-6517	31	15	,	,	PUNCT
ejpam-6517	31	16	severe	severe	ADJ
ejpam-6517	31	17	diarrhea	diarrhea	NOUN
ejpam-6517	31	18	and	and	CCONJ
ejpam-6517	31	19	associated	associated	ADJ
ejpam-6517	31	20	dehydration	dehydration	NOUN
ejpam-6517	31	21	,	,	PUNCT
ejpam-6517	31	22	infections	infection	NOUN
ejpam-6517	31	23	of	of	ADP
ejpam-6517	31	24	the	the	DET
ejpam-6517	31	25	ears	ear	NOUN
ejpam-6517	31	26	,	,	PUNCT
ejpam-6517	31	27	severe	severe	ADJ
ejpam-6517	31	28	respiratory	respiratory	ADJ
ejpam-6517	31	29	issues	issue	NOUN
ejpam-6517	31	30	,	,	PUNCT
ejpam-6517	31	31	and	and	CCONJ
ejpam-6517	31	32	even	even	ADV
ejpam-6517	31	33	death	death	NOUN
ejpam-6517	32	1	[	[	X
ejpam-6517	32	2	5	5	NUM
ejpam-6517	32	3	]	]	PUNCT
ejpam-6517	32	4	.	.	PUNCT
ejpam-6517	33	1	complications	complication	NOUN
ejpam-6517	33	2	are	be	AUX
ejpam-6517	33	3	expected	expect	VERB
ejpam-6517	33	4	to	to	PART
ejpam-6517	33	5	affect	affect	VERB
ejpam-6517	33	6	children	child	NOUN
ejpam-6517	33	7	under	under	ADP
ejpam-6517	33	8	five	five	NUM
ejpam-6517	33	9	and	and	CCONJ
ejpam-6517	33	10	adults	adult	NOUN
ejpam-6517	33	11	over	over	ADP
ejpam-6517	33	12	thirty	thirty	NUM
ejpam-6517	33	13	.	.	PUNCT
ejpam-6517	34	1	they	they	PRON
ejpam-6517	34	2	are	be	AUX
ejpam-6517	34	3	more	more	ADV
ejpam-6517	34	4	common	common	ADJ
ejpam-6517	34	5	in	in	ADP
ejpam-6517	34	6	malnourished	malnourished	ADJ
ejpam-6517	34	7	youngsters	youngster	NOUN
ejpam-6517	34	8	,	,	PUNCT
ejpam-6517	34	9	especially	especially	ADV
ejpam-6517	34	10	those	those	PRON
ejpam-6517	34	11	whose	whose	DET
ejpam-6517	34	12	do	do	AUX
ejpam-6517	34	13	n’t	not	PART
ejpam-6517	34	14	get	get	VERB
ejpam-6517	34	15	enough	enough	ADJ
ejpam-6517	34	16	vitamin	vitamin	NOUN
ejpam-6517	34	17	a	a	PRON
ejpam-6517	34	18	or	or	CCONJ
ejpam-6517	34	19	which	which	PRON
ejpam-6517	34	20	have	have	AUX
ejpam-6517	34	21	compromised	compromise	VERB
ejpam-6517	34	22	immune	immune	ADJ
ejpam-6517	34	23	systems	system	NOUN
ejpam-6517	34	24	because	because	SCONJ
ejpam-6517	34	25	of	of	ADP
ejpam-6517	34	26	hiv	hiv	PROPN
ejpam-6517	34	27	or	or	CCONJ
ejpam-6517	34	28	other	other	ADJ
ejpam-6517	34	29	diseases	disease	NOUN
ejpam-6517	34	30	.	.	PUNCT
ejpam-6517	35	1	since	since	SCONJ
ejpam-6517	35	2	measles	measle	NOUN
ejpam-6517	35	3	itself	itself	PRON
ejpam-6517	35	4	weakens	weaken	VERB
ejpam-6517	35	5	immunity	immunity	NOUN
ejpam-6517	35	6	and	and	CCONJ
ejpam-6517	35	7	might	might	AUX
ejpam-6517	35	8	make	make	VERB
ejpam-6517	35	9	the	the	DET
ejpam-6517	35	10	body	body	NOUN
ejpam-6517	35	11	lose	lose	VERB
ejpam-6517	35	12	how	how	SCONJ
ejpam-6517	35	13	to	to	PART
ejpam-6517	35	14	fight	fight	VERB
ejpam-6517	35	15	off	off	ADP
ejpam-6517	35	16	illnesses	illness	NOUN
ejpam-6517	35	17	,	,	PUNCT
ejpam-6517	35	18	children	child	NOUN
ejpam-6517	35	19	are	be	AUX
ejpam-6517	35	20	especially	especially	ADV
ejpam-6517	35	21	vulnerable	vulnerable	ADJ
ejpam-6517	35	22	.	.	PUNCT
ejpam-6517	36	1	since	since	SCONJ
ejpam-6517	36	2	vaccinations	vaccination	NOUN
ejpam-6517	36	3	can	can	AUX
ejpam-6517	36	4	largely	largely	ADV
ejpam-6517	36	5	prevent	prevent	VERB
ejpam-6517	36	6	measles	measle	NOUN
ejpam-6517	36	7	-	-	PUNCT
ejpam-6517	36	8	related	relate	VERB
ejpam-6517	36	9	deaths	death	NOUN
ejpam-6517	36	10	,	,	PUNCT
ejpam-6517	36	11	immunization	immunization	NOUN
ejpam-6517	36	12	campaigns	campaign	NOUN
ejpam-6517	36	13	are	be	AUX
ejpam-6517	36	14	essential	essential	ADJ
ejpam-6517	36	15	to	to	PART
ejpam-6517	36	16	halting	halt	VERB
ejpam-6517	36	17	the	the	DET
ejpam-6517	36	18	disease	disease	NOUN
ejpam-6517	36	19	’s	’s	PART
ejpam-6517	36	20	spread	spread	NOUN
ejpam-6517	36	21	.	.	PUNCT
ejpam-6517	37	1	since	since	SCONJ
ejpam-6517	37	2	measles	measle	NOUN
ejpam-6517	37	3	itself	itself	PRON
ejpam-6517	37	4	weakens	weaken	VERB
ejpam-6517	37	5	immunity	immunity	NOUN
ejpam-6517	37	6	and	and	CCONJ
ejpam-6517	37	7	might	might	AUX
ejpam-6517	37	8	make	make	VERB
ejpam-6517	37	9	the	the	DET
ejpam-6517	37	10	body	body	NOUN
ejpam-6517	37	11	lose	lose	VERB
ejpam-6517	37	12	how	how	SCONJ
ejpam-6517	37	13	to	to	PART
ejpam-6517	37	14	fight	fight	VERB
ejpam-6517	37	15	off	off	ADP
ejpam-6517	37	16	illnesses	illness	NOUN
ejpam-6517	37	17	,	,	PUNCT
ejpam-6517	37	18	children	child	NOUN
ejpam-6517	37	19	are	be	AUX
ejpam-6517	37	20	especially	especially	ADV
ejpam-6517	37	21	vulnerable	vulnerable	ADJ
ejpam-6517	37	22	.	.	PUNCT
ejpam-6517	38	1	immunization	immunization	NOUN
ejpam-6517	38	2	campaigns	campaign	NOUN
ejpam-6517	38	3	are	be	AUX
ejpam-6517	38	4	crucial	crucial	ADJ
ejpam-6517	38	5	to	to	ADP
ejpam-6517	38	6	stopping	stop	VERB
ejpam-6517	38	7	the	the	DET
ejpam-6517	38	8	spread	spread	NOUN
ejpam-6517	38	9	of	of	ADP
ejpam-6517	38	10	measles	measle	NOUN
ejpam-6517	38	11	since	since	SCONJ
ejpam-6517	38	12	immunizations	immunization	NOUN
ejpam-6517	38	13	can	can	AUX
ejpam-6517	38	14	significantly	significantly	ADV
ejpam-6517	38	15	reduce	reduce	VERB
ejpam-6517	38	16	the	the	DET
ejpam-6517	38	17	number	number	NOUN
ejpam-6517	38	18	of	of	ADP
ejpam-6517	38	19	deaths	death	NOUN
ejpam-6517	38	20	caused	cause	VERB
ejpam-6517	38	21	by	by	ADP
ejpam-6517	38	22	the	the	DET
ejpam-6517	38	23	illness	illness	NOUN
ejpam-6517	38	24	.	.	PUNCT
ejpam-6517	39	1	a	a	DET
ejpam-6517	39	2	safe	safe	ADJ
ejpam-6517	39	3	and	and	CCONJ
ejpam-6517	39	4	efficient	efficient	ADJ
ejpam-6517	39	5	method	method	NOUN
ejpam-6517	39	6	of	of	ADP
ejpam-6517	39	7	establishing	establish	VERB
ejpam-6517	39	8	immunity	immunity	NOUN
ejpam-6517	39	9	for	for	ADP
ejpam-6517	39	10	the	the	DET
ejpam-6517	39	11	virus	virus	NOUN
ejpam-6517	39	12	is	be	AUX
ejpam-6517	39	13	the	the	DET
ejpam-6517	39	14	measles	measle	NOUN
ejpam-6517	39	15	vaccination	vaccination	NOUN
ejpam-6517	39	16	,	,	PUNCT
ejpam-6517	39	17	which	which	PRON
ejpam-6517	39	18	is	be	AUX
ejpam-6517	39	19	frequently	frequently	ADV
ejpam-6517	39	20	given	give	VERB
ejpam-6517	39	21	as	as	ADP
ejpam-6517	39	22	a	a	DET
ejpam-6517	39	23	component	component	NOUN
ejpam-6517	39	24	of	of	ADP
ejpam-6517	39	25	the	the	DET
ejpam-6517	39	26	rubella	rubella	NOUN
ejpam-6517	39	27	-	-	PUNCT
ejpam-6517	39	28	mumps	mump	NOUN
ejpam-6517	39	29	-	-	PUNCT
ejpam-6517	39	30	measles	measle	NOUN
ejpam-6517	39	31	(	(	PUNCT
ejpam-6517	39	32	rmm	rmm	NOUN
ejpam-6517	39	33	)	)	PUNCT
ejpam-6517	39	34	vaccine	vaccine	NOUN
ejpam-6517	39	35	[	[	X
ejpam-6517	39	36	6	6	NUM
ejpam-6517	39	37	,	,	PUNCT
ejpam-6517	39	38	7	7	NUM
ejpam-6517	39	39	]	]	PUNCT
ejpam-6517	39	40	.	.	PUNCT
ejpam-6517	40	1	in	in	ADP
ejpam-6517	40	2	many	many	ADJ
ejpam-6517	40	3	regions	region	NOUN
ejpam-6517	40	4	of	of	ADP
ejpam-6517	40	5	the	the	DET
ejpam-6517	40	6	world	world	NOUN
ejpam-6517	40	7	,	,	PUNCT
ejpam-6517	40	8	extensive	extensive	ADJ
ejpam-6517	40	9	vaccination	vaccination	NOUN
ejpam-6517	40	10	campaigns	campaign	NOUN
ejpam-6517	40	11	have	have	AUX
ejpam-6517	40	12	resulted	result	VERB
ejpam-6517	40	13	in	in	ADP
ejpam-6517	40	14	a	a	DET
ejpam-6517	40	15	notable	notable	ADJ
ejpam-6517	40	16	decline	decline	NOUN
ejpam-6517	40	17	in	in	ADP
ejpam-6517	40	18	cases	case	NOUN
ejpam-6517	40	19	of	of	ADP
ejpam-6517	40	20	measles	measle	NOUN
ejpam-6517	40	21	and	and	CCONJ
ejpam-6517	40	22	fatalities	fatality	NOUN
ejpam-6517	40	23	.	.	PUNCT
ejpam-6517	41	1	to	to	PART
ejpam-6517	41	2	stop	stop	VERB
ejpam-6517	41	3	outbreaks	outbreak	NOUN
ejpam-6517	41	4	and	and	CCONJ
ejpam-6517	41	5	keep	keep	VERB
ejpam-6517	41	6	disease	disease	NOUN
ejpam-6517	41	7	under	under	ADP
ejpam-6517	41	8	control	control	NOUN
ejpam-6517	41	9	,	,	PUNCT
ejpam-6517	41	10	high	high	ADJ
ejpam-6517	41	11	immunization	immunization	NOUN
ejpam-6517	41	12	rates	rate	NOUN
ejpam-6517	41	13	must	must	AUX
ejpam-6517	41	14	be	be	AUX
ejpam-6517	41	15	maintained	maintain	VERB
ejpam-6517	41	16	.	.	PUNCT
ejpam-6517	42	1	when	when	SCONJ
ejpam-6517	42	2	communities	community	NOUN
ejpam-6517	42	3	achieve	achieve	VERB
ejpam-6517	42	4	high	high	ADJ
ejpam-6517	42	5	vaccination	vaccination	NOUN
ejpam-6517	42	6	coverage	coverage	NOUN
ejpam-6517	42	7	,	,	PUNCT
ejpam-6517	42	8	particularly	particularly	ADV
ejpam-6517	42	9	with	with	ADP
ejpam-6517	42	10	a	a	DET
ejpam-6517	42	11	two	two	NUM
ejpam-6517	42	12	-	-	PUNCT
ejpam-6517	42	13	dose	dose	NOUN
ejpam-6517	42	14	regimen	regiman	NOUN
ejpam-6517	42	15	,	,	PUNCT
ejpam-6517	42	16	they	they	PRON
ejpam-6517	42	17	can	can	AUX
ejpam-6517	42	18	create	create	VERB
ejpam-6517	42	19	herd	herd	NOUN
ejpam-6517	42	20	immunity	immunity	NOUN
ejpam-6517	42	21	,	,	PUNCT
ejpam-6517	42	22	which	which	PRON
ejpam-6517	42	23	provides	provide	VERB
ejpam-6517	42	24	additional	additional	ADJ
ejpam-6517	42	25	security	security	NOUN
ejpam-6517	42	26	to	to	ADP
ejpam-6517	42	27	those	those	PRON
ejpam-6517	42	28	who	who	PRON
ejpam-6517	42	29	can	can	AUX
ejpam-6517	42	30	not	not	PART
ejpam-6517	42	31	receive	receive	VERB
ejpam-6517	42	32	vaccinations	vaccination	NOUN
ejpam-6517	42	33	for	for	ADP
ejpam-6517	42	34	medical	medical	ADJ
ejpam-6517	42	35	reasons	reason	NOUN
ejpam-6517	42	36	[	[	X
ejpam-6517	42	37	8	8	NUM
ejpam-6517	42	38	,	,	PUNCT
ejpam-6517	42	39	9	9	NUM
ejpam-6517	42	40	]	]	PUNCT
ejpam-6517	42	41	.	.	PUNCT
ejpam-6517	43	1	many	many	ADJ
ejpam-6517	43	2	nations	nation	NOUN
ejpam-6517	43	3	and	and	CCONJ
ejpam-6517	43	4	m.	m.	NOUN
ejpam-6517	43	5	mohiudin	mohiudin	PROPN
ejpam-6517	43	6	et	et	PROPN
ejpam-6517	43	7	al	al	PROPN
ejpam-6517	43	8	.	.	PUNCT
ejpam-6517	43	9	/	/	SYM
ejpam-6517	43	10	eur	eur	PROPN
ejpam-6517	43	11	.	.	PUNCT
ejpam-6517	44	1	j.	j.	PROPN
ejpam-6517	44	2	pure	pure	PROPN
ejpam-6517	44	3	appl	appl	PROPN
ejpam-6517	44	4	.	.	PROPN
ejpam-6517	44	5	math	math	PROPN
ejpam-6517	44	6	,	,	PUNCT
ejpam-6517	44	7	18	18	NUM
ejpam-6517	44	8	(	(	PUNCT
ejpam-6517	44	9	3	3	NUM
ejpam-6517	44	10	)	)	PUNCT
ejpam-6517	44	11	(	(	PUNCT
ejpam-6517	44	12	2025	2025	NUM
ejpam-6517	44	13	)	)	PUNCT
ejpam-6517	44	14	,	,	PUNCT
ejpam-6517	44	15	6517	6517	NUM
ejpam-6517	44	16	3	3	NUM
ejpam-6517	44	17	of	of	ADP
ejpam-6517	44	18	40	40	NUM
ejpam-6517	44	19	international	international	ADJ
ejpam-6517	44	20	health	health	NOUN
ejpam-6517	44	21	organizations	organization	NOUN
ejpam-6517	44	22	aim	aim	VERB
ejpam-6517	44	23	to	to	PART
ejpam-6517	44	24	eradicate	eradicate	VERB
ejpam-6517	44	25	measles	measle	NOUN
ejpam-6517	44	26	.	.	PUNCT
ejpam-6517	45	1	it	it	PRON
ejpam-6517	45	2	will	will	AUX
ejpam-6517	45	3	take	take	VERB
ejpam-6517	45	4	consistent	consistent	ADJ
ejpam-6517	45	5	work	work	NOUN
ejpam-6517	45	6	to	to	PART
ejpam-6517	45	7	achieve	achieve	VERB
ejpam-6517	45	8	eradication	eradication	NOUN
ejpam-6517	45	9	,	,	PUNCT
ejpam-6517	45	10	including	include	VERB
ejpam-6517	45	11	making	make	VERB
ejpam-6517	45	12	sure	sure	ADJ
ejpam-6517	45	13	vaccines	vaccine	NOUN
ejpam-6517	45	14	are	be	AUX
ejpam-6517	45	15	accessible	accessible	ADJ
ejpam-6517	45	16	,	,	PUNCT
ejpam-6517	45	17	bolstering	bolster	VERB
ejpam-6517	45	18	healthcare	healthcare	NOUN
ejpam-6517	45	19	systems	system	NOUN
ejpam-6517	45	20	,	,	PUNCT
ejpam-6517	45	21	and	and	CCONJ
ejpam-6517	45	22	combating	combat	VERB
ejpam-6517	45	23	vaccine	vaccine	NOUN
ejpam-6517	45	24	reluctance	reluctance	NOUN
ejpam-6517	45	25	and	and	CCONJ
ejpam-6517	45	26	disinformation	disinformation	NOUN
ejpam-6517	45	27	.	.	PUNCT
ejpam-6517	46	1	given	give	VERB
ejpam-6517	46	2	how	how	SCONJ
ejpam-6517	46	3	quickly	quickly	ADV
ejpam-6517	46	4	measles	measle	NOUN
ejpam-6517	46	5	can	can	AUX
ejpam-6517	46	6	spread	spread	VERB
ejpam-6517	46	7	across	across	ADP
ejpam-6517	46	8	borders	border	NOUN
ejpam-6517	46	9	,	,	PUNCT
ejpam-6517	46	10	international	international	ADJ
ejpam-6517	46	11	cooperation	cooperation	NOUN
ejpam-6517	46	12	and	and	CCONJ
ejpam-6517	46	13	coordination	coordination	NOUN
ejpam-6517	46	14	are	be	AUX
ejpam-6517	46	15	crucial	crucial	ADJ
ejpam-6517	46	16	.	.	PUNCT
ejpam-6517	47	1	despite	despite	SCONJ
ejpam-6517	47	2	advancements	advancement	NOUN
ejpam-6517	47	3	,	,	PUNCT
ejpam-6517	47	4	difficulties	difficulty	NOUN
ejpam-6517	47	5	still	still	ADV
ejpam-6517	47	6	exist	exist	VERB
ejpam-6517	47	7	.	.	PUNCT
ejpam-6517	48	1	measles	measle	NOUN
ejpam-6517	48	2	control	control	VERB
ejpam-6517	48	3	efforts	effort	NOUN
ejpam-6517	48	4	may	may	AUX
ejpam-6517	48	5	be	be	AUX
ejpam-6517	48	6	hampered	hamper	VERB
ejpam-6517	48	7	by	by	ADP
ejpam-6517	48	8	vaccine	vaccine	NOUN
ejpam-6517	48	9	hesitancy	hesitancy	NOUN
ejpam-6517	48	10	,	,	PUNCT
ejpam-6517	48	11	which	which	PRON
ejpam-6517	48	12	occurs	occur	VERB
ejpam-6517	48	13	when	when	SCONJ
ejpam-6517	48	14	people	people	NOUN
ejpam-6517	48	15	postpone	postpone	VERB
ejpam-6517	48	16	or	or	CCONJ
ejpam-6517	48	17	refuse	refuse	VERB
ejpam-6517	48	18	immunization	immunization	NOUN
ejpam-6517	48	19	even	even	ADV
ejpam-6517	48	20	though	though	SCONJ
ejpam-6517	48	21	they	they	PRON
ejpam-6517	48	22	have	have	VERB
ejpam-6517	48	23	access	access	NOUN
ejpam-6517	48	24	to	to	ADP
ejpam-6517	48	25	it	it	PRON
ejpam-6517	48	26	[	[	X
ejpam-6517	48	27	10	10	NUM
ejpam-6517	48	28	,	,	PUNCT
ejpam-6517	48	29	11	11	NUM
ejpam-6517	48	30	]	]	PUNCT
ejpam-6517	48	31	.	.	PUNCT
ejpam-6517	49	1	measles	measle	NOUN
ejpam-6517	49	2	outbreaks	outbreak	NOUN
ejpam-6517	49	3	have	have	AUX
ejpam-6517	49	4	been	be	AUX
ejpam-6517	49	5	made	make	VERB
ejpam-6517	49	6	possible	possible	ADJ
ejpam-6517	49	7	by	by	ADP
ejpam-6517	49	8	pockets	pocket	NOUN
ejpam-6517	49	9	of	of	ADP
ejpam-6517	49	10	unvaccinated	unvaccinated	ADJ
ejpam-6517	49	11	people	people	NOUN
ejpam-6517	49	12	who	who	PRON
ejpam-6517	49	13	have	have	AUX
ejpam-6517	49	14	been	be	AUX
ejpam-6517	49	15	influenced	influence	VERB
ejpam-6517	49	16	by	by	ADP
ejpam-6517	49	17	false	false	ADJ
ejpam-6517	49	18	information	information	NOUN
ejpam-6517	49	19	on	on	ADP
ejpam-6517	49	20	vaccines	vaccine	NOUN
ejpam-6517	49	21	and	and	CCONJ
ejpam-6517	49	22	their	their	PRON
ejpam-6517	49	23	safety	safety	NOUN
ejpam-6517	49	24	.	.	PUNCT
ejpam-6517	50	1	due	due	ADP
ejpam-6517	50	2	to	to	ADP
ejpam-6517	50	3	limited	limited	ADJ
ejpam-6517	50	4	outbreaks	outbreak	NOUN
ejpam-6517	50	5	and	and	CCONJ
ejpam-6517	50	6	a	a	DET
ejpam-6517	50	7	return	return	NOUN
ejpam-6517	50	8	of	of	ADP
ejpam-6517	50	9	cases	case	NOUN
ejpam-6517	50	10	in	in	ADP
ejpam-6517	50	11	certain	certain	ADJ
ejpam-6517	50	12	locations	location	NOUN
ejpam-6517	50	13	,	,	PUNCT
ejpam-6517	50	14	measles	measle	NOUN
ejpam-6517	50	15	has	have	AUX
ejpam-6517	50	16	received	receive	VERB
ejpam-6517	50	17	fresh	fresh	ADJ
ejpam-6517	50	18	attention	attention	NOUN
ejpam-6517	50	19	in	in	ADP
ejpam-6517	50	20	recent	recent	ADJ
ejpam-6517	50	21	years	year	NOUN
ejpam-6517	50	22	.	.	PUNCT
ejpam-6517	51	1	these	these	DET
ejpam-6517	51	2	occurrences	occurrence	NOUN
ejpam-6517	51	3	highlight	highlight	VERB
ejpam-6517	51	4	the	the	DET
ejpam-6517	51	5	significance	significance	NOUN
ejpam-6517	51	6	of	of	ADP
ejpam-6517	51	7	aggressive	aggressive	ADJ
ejpam-6517	51	8	immunization	immunization	NOUN
ejpam-6517	51	9	campaigns	campaign	NOUN
ejpam-6517	51	10	and	and	CCONJ
ejpam-6517	51	11	ongoing	ongoing	ADJ
ejpam-6517	51	12	attention	attention	NOUN
ejpam-6517	51	13	[	[	X
ejpam-6517	51	14	12	12	NUM
ejpam-6517	51	15	]	]	PUNCT
ejpam-6517	51	16	.	.	PUNCT
ejpam-6517	52	1	every	every	DET
ejpam-6517	52	2	child	child	NOUN
ejpam-6517	52	3	ought	ought	AUX
ejpam-6517	52	4	to	to	PART
ejpam-6517	52	5	have	have	VERB
ejpam-6517	52	6	a	a	DET
ejpam-6517	52	7	measles	measle	NOUN
ejpam-6517	52	8	vaccination	vaccination	NOUN
ejpam-6517	52	9	.	.	PUNCT
ejpam-6517	53	1	the	the	DET
ejpam-6517	53	2	vaccination	vaccination	NOUN
ejpam-6517	53	3	is	be	AUX
ejpam-6517	53	4	affordable	affordable	ADJ
ejpam-6517	53	5	,	,	PUNCT
ejpam-6517	53	6	safe	safe	ADJ
ejpam-6517	53	7	,	,	PUNCT
ejpam-6517	53	8	and	and	CCONJ
ejpam-6517	53	9	effective	effective	ADJ
ejpam-6517	53	10	.	.	PUNCT
ejpam-6517	54	1	to	to	PART
ejpam-6517	54	2	guarantee	guarantee	VERB
ejpam-6517	54	3	immunity	immunity	NOUN
ejpam-6517	54	4	,	,	PUNCT
ejpam-6517	54	5	children	child	NOUN
ejpam-6517	54	6	must	must	AUX
ejpam-6517	54	7	get	get	VERB
ejpam-6517	54	8	two	two	NUM
ejpam-6517	54	9	doses	dose	NOUN
ejpam-6517	54	10	of	of	ADP
ejpam-6517	54	11	the	the	DET
ejpam-6517	54	12	vaccination	vaccination	NOUN
ejpam-6517	54	13	.	.	PUNCT
ejpam-6517	55	1	in	in	ADP
ejpam-6517	55	2	nations	nation	NOUN
ejpam-6517	55	3	where	where	SCONJ
ejpam-6517	55	4	measles	measle	NOUN
ejpam-6517	55	5	is	be	AUX
ejpam-6517	55	6	prevalent	prevalent	ADJ
ejpam-6517	55	7	,	,	PUNCT
ejpam-6517	55	8	the	the	DET
ejpam-6517	55	9	first	first	ADJ
ejpam-6517	55	10	dosage	dosage	NOUN
ejpam-6517	55	11	is	be	AUX
ejpam-6517	55	12	often	often	ADV
ejpam-6517	55	13	administered	administer	VERB
ejpam-6517	55	14	at	at	ADP
ejpam-6517	55	15	nine	nine	NUM
ejpam-6517	55	16	months	month	NOUN
ejpam-6517	55	17	of	of	ADP
ejpam-6517	55	18	age	age	NOUN
ejpam-6517	55	19	;	;	PUNCT
ejpam-6517	55	20	in	in	ADP
ejpam-6517	55	21	other	other	ADJ
ejpam-6517	55	22	nations	nation	NOUN
ejpam-6517	55	23	,	,	PUNCT
ejpam-6517	55	24	it	it	PRON
ejpam-6517	55	25	is	be	AUX
ejpam-6517	55	26	given	give	VERB
ejpam-6517	55	27	between	between	ADP
ejpam-6517	55	28	12	12	NUM
ejpam-6517	55	29	and	and	CCONJ
ejpam-6517	55	30	15	15	NUM
ejpam-6517	55	31	months	month	NOUN
ejpam-6517	55	32	.	.	PUNCT
ejpam-6517	56	1	later	later	ADV
ejpam-6517	56	2	in	in	ADP
ejpam-6517	56	3	childhood	childhood	NOUN
ejpam-6517	56	4	,	,	PUNCT
ejpam-6517	56	5	often	often	ADV
ejpam-6517	56	6	between	between	ADP
ejpam-6517	56	7	15	15	NUM
ejpam-6517	56	8	and	and	CCONJ
ejpam-6517	56	9	18	18	NUM
ejpam-6517	56	10	months	month	NOUN
ejpam-6517	56	11	,	,	PUNCT
ejpam-6517	56	12	a	a	DET
ejpam-6517	56	13	second	second	ADJ
ejpam-6517	56	14	dosage	dosage	NOUN
ejpam-6517	56	15	should	should	AUX
ejpam-6517	56	16	be	be	AUX
ejpam-6517	56	17	administered	administer	VERB
ejpam-6517	56	18	.	.	PUNCT
ejpam-6517	57	1	the	the	DET
ejpam-6517	57	2	measles	measle	NOUN
ejpam-6517	57	3	vaccine	vaccine	NOUN
ejpam-6517	57	4	is	be	AUX
ejpam-6517	57	5	administered	administer	VERB
ejpam-6517	57	6	either	either	CCONJ
ejpam-6517	57	7	by	by	ADP
ejpam-6517	57	8	itself	itself	PRON
ejpam-6517	57	9	or	or	CCONJ
ejpam-6517	57	10	frequently	frequently	ADV
ejpam-6517	57	11	in	in	ADP
ejpam-6517	57	12	conjunction	conjunction	NOUN
ejpam-6517	57	13	with	with	ADP
ejpam-6517	57	14	the	the	DET
ejpam-6517	57	15	varicella	varicella	NOUN
ejpam-6517	57	16	,	,	PUNCT
ejpam-6517	57	17	mumps	mump	NOUN
ejpam-6517	57	18	,	,	PUNCT
ejpam-6517	57	19	and	and	CCONJ
ejpam-6517	57	20	rubella	rubella	NOUN
ejpam-6517	57	21	vaccines	vaccine	NOUN
ejpam-6517	57	22	.	.	PUNCT
ejpam-6517	58	1	reducing	reduce	VERB
ejpam-6517	58	2	the	the	DET
ejpam-6517	58	3	number	number	NOUN
ejpam-6517	58	4	of	of	ADP
ejpam-6517	58	5	measles	measle	NOUN
ejpam-6517	58	6	deaths	death	NOUN
ejpam-6517	58	7	worldwide	worldwide	ADV
ejpam-6517	58	8	requires	require	VERB
ejpam-6517	58	9	both	both	PRON
ejpam-6517	58	10	routine	routine	ADJ
ejpam-6517	58	11	vaccination	vaccination	NOUN
ejpam-6517	58	12	and	and	CCONJ
ejpam-6517	58	13	major	major	ADJ
ejpam-6517	58	14	immunization	immunization	NOUN
ejpam-6517	58	15	programs	program	NOUN
ejpam-6517	58	16	in	in	ADP
ejpam-6517	58	17	nations	nation	NOUN
ejpam-6517	58	18	with	with	ADP
ejpam-6517	58	19	high	high	ADJ
ejpam-6517	58	20	case	case	NOUN
ejpam-6517	58	21	rates	rate	NOUN
ejpam-6517	58	22	.	.	PUNCT
ejpam-6517	59	1	for	for	ADP
ejpam-6517	59	2	less	less	ADJ
ejpam-6517	59	3	than	than	ADP
ejpam-6517	59	4	1usd	1usd	NUM
ejpam-6517	59	5	per	per	ADP
ejpam-6517	59	6	child	child	NOUN
ejpam-6517	59	7	,	,	PUNCT
ejpam-6517	59	8	the	the	DET
ejpam-6517	59	9	measles	measle	NOUN
ejpam-6517	59	10	vaccine	vaccine	NOUN
ejpam-6517	59	11	remains	remain	VERB
ejpam-6517	59	12	in	in	ADP
ejpam-6517	59	13	use	use	NOUN
ejpam-6517	59	14	for	for	ADP
ejpam-6517	59	15	almost	almost	ADV
ejpam-6517	59	16	60	60	NUM
ejpam-6517	59	17	years	year	NOUN
ejpam-6517	59	18	.	.	PUNCT
ejpam-6517	60	1	in	in	ADP
ejpam-6517	60	2	an	an	DET
ejpam-6517	60	3	emergency	emergency	NOUN
ejpam-6517	60	4	,	,	PUNCT
ejpam-6517	60	5	the	the	DET
ejpam-6517	60	6	measles	measle	NOUN
ejpam-6517	60	7	vaccine	vaccine	NOUN
ejpam-6517	60	8	also	also	ADV
ejpam-6517	60	9	serves	serve	VERB
ejpam-6517	60	10	to	to	PART
ejpam-6517	60	11	prevent	prevent	VERB
ejpam-6517	60	12	the	the	DET
ejpam-6517	60	13	spread	spread	NOUN
ejpam-6517	60	14	of	of	ADP
ejpam-6517	60	15	outbreaks	outbreak	NOUN
ejpam-6517	60	16	.	.	PUNCT
ejpam-6517	61	1	refugees	refugee	NOUN
ejpam-6517	61	2	are	be	AUX
ejpam-6517	61	3	more	more	ADV
ejpam-6517	61	4	vulnerable	vulnerable	ADJ
ejpam-6517	61	5	to	to	ADP
ejpam-6517	61	6	measles	measle	NOUN
ejpam-6517	61	7	epidemics	epidemic	NOUN
ejpam-6517	61	8	,	,	PUNCT
ejpam-6517	61	9	so	so	SCONJ
ejpam-6517	61	10	they	they	PRON
ejpam-6517	61	11	should	should	AUX
ejpam-6517	61	12	get	get	AUX
ejpam-6517	61	13	vaccinated	vaccinate	VERB
ejpam-6517	61	14	as	as	ADV
ejpam-6517	61	15	quickly	quickly	ADV
ejpam-6517	61	16	as	as	ADP
ejpam-6517	61	17	feasible	feasible	ADJ
ejpam-6517	61	18	[	[	PUNCT
ejpam-6517	61	19	13	13	NUM
ejpam-6517	61	20	]	]	PUNCT
ejpam-6517	61	21	.	.	PUNCT
ejpam-6517	62	1	combining	combine	VERB
ejpam-6517	62	2	vaccines	vaccine	NOUN
ejpam-6517	62	3	gives	give	VERB
ejpam-6517	62	4	a	a	DET
ejpam-6517	62	5	boost	boost	NOUN
ejpam-6517	62	6	of	of	ADP
ejpam-6517	62	7	immunity	immunity	NOUN
ejpam-6517	62	8	of	of	ADP
ejpam-6517	62	9	rubella	rubella	NOUN
ejpam-6517	62	10	,	,	PUNCT
ejpam-6517	62	11	a	a	DET
ejpam-6517	62	12	particularly	particularly	ADV
ejpam-6517	62	13	common	common	ADJ
ejpam-6517	62	14	vaccine	vaccine	NOUN
ejpam-6517	62	15	-	-	PUNCT
ejpam-6517	62	16	preventable	preventable	ADJ
ejpam-6517	62	17	disease	disease	NOUN
ejpam-6517	62	18	that	that	PRON
ejpam-6517	62	19	may	may	AUX
ejpam-6517	62	20	infect	infect	VERB
ejpam-6517	62	21	unborn	unborn	ADJ
ejpam-6517	62	22	children	child	NOUN
ejpam-6517	62	23	,	,	PUNCT
ejpam-6517	62	24	while	while	SCONJ
ejpam-6517	62	25	also	also	ADV
ejpam-6517	62	26	allowing	allow	VERB
ejpam-6517	62	27	for	for	ADP
ejpam-6517	62	28	pooled	pool	VERB
ejpam-6517	62	29	delivery	delivery	NOUN
ejpam-6517	62	30	and	and	CCONJ
ejpam-6517	62	31	administration	administration	NOUN
ejpam-6517	62	32	costs	cost	NOUN
ejpam-6517	62	33	.	.	PUNCT
ejpam-6517	63	1	about	about	ADV
ejpam-6517	63	2	83	83	NUM
ejpam-6517	63	3	%	%	NOUN
ejpam-6517	63	4	of	of	ADP
ejpam-6517	63	5	children	child	NOUN
ejpam-6517	63	6	worldwide	worldwide	ADV
ejpam-6517	63	7	received	receive	VERB
ejpam-6517	63	8	one	one	NUM
ejpam-6517	63	9	dose	dose	NOUN
ejpam-6517	63	10	of	of	ADP
ejpam-6517	63	11	the	the	DET
ejpam-6517	63	12	measles	measle	NOUN
ejpam-6517	63	13	vaccine	vaccine	NOUN
ejpam-6517	63	14	before	before	ADP
ejpam-6517	63	15	the	the	DET
ejpam-6517	63	16	time	time	NOUN
ejpam-6517	63	17	of	of	ADP
ejpam-6517	63	18	their	their	PRON
ejpam-6517	63	19	first	first	ADJ
ejpam-6517	63	20	birth	birth	NOUN
ejpam-6517	63	21	,	,	PUNCT
ejpam-6517	63	22	and	and	CCONJ
ejpam-6517	63	23	74	74	NUM
ejpam-6517	63	24	%	%	NOUN
ejpam-6517	63	25	of	of	ADP
ejpam-6517	63	26	infants	infant	NOUN
ejpam-6517	63	27	received	receive	VERB
ejpam-6517	63	28	both	both	DET
ejpam-6517	63	29	doses	dose	NOUN
ejpam-6517	63	30	in	in	ADP
ejpam-6517	63	31	2022	2022	NUM
ejpam-6517	63	32	[	[	X
ejpam-6517	63	33	14	14	NUM
ejpam-6517	63	34	]	]	PUNCT
ejpam-6517	63	35	.	.	PUNCT
ejpam-6517	64	1	since	since	SCONJ
ejpam-6517	64	2	not	not	PART
ejpam-6517	64	3	all	all	DET
ejpam-6517	64	4	children	child	NOUN
ejpam-6517	64	5	gain	gain	VERB
ejpam-6517	64	6	immunity	immunity	NOUN
ejpam-6517	64	7	after	after	ADP
ejpam-6517	64	8	the	the	DET
ejpam-6517	64	9	first	first	ADJ
ejpam-6517	64	10	dose	dose	NOUN
ejpam-6517	64	11	,	,	PUNCT
ejpam-6517	64	12	two	two	NUM
ejpam-6517	64	13	boosters	booster	NOUN
ejpam-6517	64	14	of	of	ADP
ejpam-6517	64	15	the	the	DET
ejpam-6517	64	16	vaccination	vaccination	NOUN
ejpam-6517	64	17	are	be	AUX
ejpam-6517	64	18	advised	advise	VERB
ejpam-6517	64	19	to	to	PART
ejpam-6517	64	20	guarantee	guarantee	VERB
ejpam-6517	64	21	immunity	immunity	NOUN
ejpam-6517	64	22	and	and	CCONJ
ejpam-6517	64	23	stop	stop	VERB
ejpam-6517	64	24	outbreaks	outbreak	NOUN
ejpam-6517	64	25	.	.	PUNCT
ejpam-6517	65	1	in	in	ADP
ejpam-6517	65	2	2022	2022	NUM
ejpam-6517	65	3	,	,	PUNCT
ejpam-6517	65	4	almost	almost	ADV
ejpam-6517	65	5	22	22	NUM
ejpam-6517	65	6	million	million	NUM
ejpam-6517	65	7	babies	baby	NOUN
ejpam-6517	65	8	did	do	AUX
ejpam-6517	65	9	not	not	PART
ejpam-6517	65	10	receive	receive	VERB
ejpam-6517	65	11	at	at	ADV
ejpam-6517	65	12	least	least	ADV
ejpam-6517	65	13	one	one	NUM
ejpam-6517	65	14	dose	dose	NOUN
ejpam-6517	65	15	of	of	ADP
ejpam-6517	65	16	the	the	DET
ejpam-6517	65	17	measles	measle	NOUN
ejpam-6517	65	18	vaccination	vaccination	NOUN
ejpam-6517	65	19	as	as	ADP
ejpam-6517	65	20	part	part	NOUN
ejpam-6517	65	21	of	of	ADP
ejpam-6517	65	22	their	their	PRON
ejpam-6517	65	23	regular	regular	ADJ
ejpam-6517	65	24	immunization	immunization	NOUN
ejpam-6517	65	25	schedule	schedule	NOUN
ejpam-6517	65	26	.	.	PUNCT
ejpam-6517	66	1	measles	measle	NOUN
ejpam-6517	66	2	does	do	AUX
ejpam-6517	66	3	not	not	PART
ejpam-6517	66	4	have	have	VERB
ejpam-6517	66	5	a	a	DET
ejpam-6517	66	6	specific	specific	ADJ
ejpam-6517	66	7	therapy	therapy	NOUN
ejpam-6517	66	8	.	.	PUNCT
ejpam-6517	67	1	the	the	DET
ejpam-6517	67	2	goals	goal	NOUN
ejpam-6517	67	3	of	of	ADP
ejpam-6517	67	4	care	care	NOUN
ejpam-6517	67	5	should	should	AUX
ejpam-6517	67	6	be	be	AUX
ejpam-6517	67	7	to	to	PART
ejpam-6517	67	8	reduce	reduce	VERB
ejpam-6517	67	9	symptoms	symptom	NOUN
ejpam-6517	67	10	,	,	PUNCT
ejpam-6517	67	11	ensure	ensure	VERB
ejpam-6517	67	12	the	the	DET
ejpam-6517	67	13	patient	patient	NOUN
ejpam-6517	67	14	is	be	AUX
ejpam-6517	67	15	comfortable	comfortable	ADJ
ejpam-6517	67	16	,	,	PUNCT
ejpam-6517	67	17	and	and	CCONJ
ejpam-6517	67	18	avoid	avoid	VERB
ejpam-6517	67	19	complications	complication	NOUN
ejpam-6517	67	20	.	.	PUNCT
ejpam-6517	68	1	fluids	fluid	NOUN
ejpam-6517	68	2	lost	lose	VERB
ejpam-6517	68	3	due	due	ADP
ejpam-6517	68	4	to	to	ADP
ejpam-6517	68	5	vomiting	vomiting	NOUN
ejpam-6517	68	6	or	or	CCONJ
ejpam-6517	68	7	diarrhea	diarrhea	NOUN
ejpam-6517	68	8	can	can	AUX
ejpam-6517	68	9	be	be	AUX
ejpam-6517	68	10	replaced	replace	VERB
ejpam-6517	68	11	by	by	ADP
ejpam-6517	68	12	drinking	drink	VERB
ejpam-6517	68	13	adequate	adequate	ADJ
ejpam-6517	68	14	water	water	NOUN
ejpam-6517	68	15	and	and	CCONJ
ejpam-6517	68	16	receiving	receive	VERB
ejpam-6517	68	17	dehydration	dehydration	NOUN
ejpam-6517	68	18	treatments	treatment	NOUN
ejpam-6517	68	19	.	.	PUNCT
ejpam-6517	69	1	consuming	consume	VERB
ejpam-6517	69	2	a	a	DET
ejpam-6517	69	3	nutritious	nutritious	ADJ
ejpam-6517	69	4	diet	diet	NOUN
ejpam-6517	69	5	is	be	AUX
ejpam-6517	69	6	also	also	ADV
ejpam-6517	69	7	crucial	crucial	ADJ
ejpam-6517	69	8	.	.	PUNCT
ejpam-6517	70	1	antibiotics	antibiotic	NOUN
ejpam-6517	70	2	are	be	AUX
ejpam-6517	70	3	sometimes	sometimes	ADV
ejpam-6517	70	4	prescribed	prescribe	VERB
ejpam-6517	70	5	by	by	ADP
ejpam-6517	70	6	doctors	doctor	NOUN
ejpam-6517	70	7	to	to	PART
ejpam-6517	70	8	treat	treat	VERB
ejpam-6517	70	9	ears	ear	NOUN
ejpam-6517	70	10	and	and	CCONJ
ejpam-6517	70	11	eye	eye	NOUN
ejpam-6517	70	12	infection	infection	NOUN
ejpam-6517	70	13	as	as	ADV
ejpam-6517	70	14	well	well	ADV
ejpam-6517	70	15	as	as	ADP
ejpam-6517	70	16	pneumonia	pneumonia	NOUN
ejpam-6517	70	17	.	.	PUNCT
ejpam-6517	71	1	vitamin	vitamin	VERB
ejpam-6517	71	2	a	a	DET
ejpam-6517	71	3	supplements	supplement	NOUN
ejpam-6517	71	4	should	should	AUX
ejpam-6517	71	5	be	be	AUX
ejpam-6517	71	6	administered	administer	VERB
ejpam-6517	71	7	in	in	ADP
ejpam-6517	71	8	two	two	NUM
ejpam-6517	71	9	doses	dose	NOUN
ejpam-6517	71	10	,	,	PUNCT
ejpam-6517	71	11	separated	separate	VERB
ejpam-6517	71	12	by	by	ADP
ejpam-6517	71	13	24	24	NUM
ejpam-6517	71	14	hours	hour	NOUN
ejpam-6517	71	15	,	,	PUNCT
ejpam-6517	71	16	to	to	ADP
ejpam-6517	71	17	all	all	DET
ejpam-6517	71	18	children	child	NOUN
ejpam-6517	71	19	and	and	CCONJ
ejpam-6517	71	20	adults	adult	NOUN
ejpam-6517	71	21	who	who	PRON
ejpam-6517	71	22	have	have	VERB
ejpam-6517	71	23	measles	measle	NOUN
ejpam-6517	71	24	.	.	PUNCT
ejpam-6517	72	1	this	this	PRON
ejpam-6517	72	2	raises	raise	VERB
ejpam-6517	72	3	the	the	DET
ejpam-6517	72	4	vitamin	vitamin	NOUN
ejpam-6517	72	5	’s	’s	PART
ejpam-6517	72	6	levels	level	NOUN
ejpam-6517	72	7	that	that	PRON
ejpam-6517	72	8	are	be	AUX
ejpam-6517	72	9	low	low	ADJ
ejpam-6517	72	10	,	,	PUNCT
ejpam-6517	72	11	even	even	ADV
ejpam-6517	72	12	in	in	ADP
ejpam-6517	72	13	youngsters	youngster	NOUN
ejpam-6517	72	14	who	who	PRON
ejpam-6517	72	15	are	be	AUX
ejpam-6517	72	16	fed	feed	VERB
ejpam-6517	72	17	a	a	DET
ejpam-6517	72	18	healthy	healthy	ADJ
ejpam-6517	72	19	diet	diet	NOUN
ejpam-6517	72	20	.	.	PUNCT
ejpam-6517	73	1	it	it	PRON
ejpam-6517	73	2	can	can	AUX
ejpam-6517	73	3	aid	aid	VERB
ejpam-6517	73	4	in	in	ADP
ejpam-6517	73	5	preventing	prevent	VERB
ejpam-6517	73	6	blindness	blindness	NOUN
ejpam-6517	73	7	and	and	CCONJ
ejpam-6517	73	8	eye	eye	NOUN
ejpam-6517	73	9	damage	damage	NOUN
ejpam-6517	73	10	.	.	PUNCT
ejpam-6517	74	1	supplementing	supplement	VERB
ejpam-6517	74	2	with	with	ADP
ejpam-6517	74	3	vitamin	vitamin	NOUN
ejpam-6517	74	4	a	a	PRON
ejpam-6517	74	5	may	may	AUX
ejpam-6517	74	6	help	help	VERB
ejpam-6517	74	7	lower	lower	VERB
ejpam-6517	74	8	the	the	DET
ejpam-6517	74	9	incidence	incidence	NOUN
ejpam-6517	74	10	of	of	ADP
ejpam-6517	74	11	measles	measle	NOUN
ejpam-6517	74	12	deaths	death	NOUN
ejpam-6517	74	13	.	.	PUNCT
ejpam-6517	75	1	a	a	DET
ejpam-6517	75	2	key	key	ADJ
ejpam-6517	75	3	approach	approach	NOUN
ejpam-6517	75	4	for	for	ADP
ejpam-6517	75	5	examining	examine	VERB
ejpam-6517	75	6	the	the	DET
ejpam-6517	75	7	dynamics	dynamic	NOUN
ejpam-6517	75	8	of	of	ADP
ejpam-6517	75	9	disease	disease	NOUN
ejpam-6517	75	10	transmission	transmission	NOUN
ejpam-6517	75	11	within	within	ADP
ejpam-6517	75	12	communities	community	NOUN
ejpam-6517	75	13	is	be	AUX
ejpam-6517	75	14	mathematical	mathematical	ADJ
ejpam-6517	75	15	modeling	modeling	NOUN
ejpam-6517	75	16	of	of	ADP
ejpam-6517	75	17	pandemics	pandemic	NOUN
ejpam-6517	75	18	,	,	PUNCT
ejpam-6517	75	19	which	which	PRON
ejpam-6517	75	20	makes	make	VERB
ejpam-6517	75	21	use	use	NOUN
ejpam-6517	75	22	of	of	ADP
ejpam-6517	75	23	computational	computational	ADJ
ejpam-6517	75	24	simulations	simulation	NOUN
ejpam-6517	75	25	and	and	CCONJ
ejpam-6517	75	26	mathematical	mathematical	ADJ
ejpam-6517	75	27	equations	equation	NOUN
ejpam-6517	75	28	[	[	X
ejpam-6517	75	29	7	7	NUM
ejpam-6517	75	30	,	,	PUNCT
ejpam-6517	75	31	15	15	NUM
ejpam-6517	75	32	]	]	PUNCT
ejpam-6517	75	33	.	.	PUNCT
ejpam-6517	76	1	these	these	DET
ejpam-6517	76	2	models	model	NOUN
ejpam-6517	76	3	enable	enable	VERB
ejpam-6517	76	4	public	public	ADJ
ejpam-6517	76	5	health	health	NOUN
ejpam-6517	76	6	professionals	professional	NOUN
ejpam-6517	76	7	make	make	VERB
ejpam-6517	76	8	well	well	ADV
ejpam-6517	76	9	-	-	PUNCT
ejpam-6517	76	10	informed	inform	VERB
ejpam-6517	76	11	decisions	decision	NOUN
ejpam-6517	76	12	by	by	ADP
ejpam-6517	76	13	illustrating	illustrate	VERB
ejpam-6517	76	14	the	the	DET
ejpam-6517	76	15	interactions	interaction	NOUN
ejpam-6517	76	16	between	between	ADP
ejpam-6517	76	17	vulnerable	vulnerable	ADJ
ejpam-6517	76	18	,	,	PUNCT
ejpam-6517	76	19	recovered	recovered	ADJ
ejpam-6517	76	20	,	,	PUNCT
ejpam-6517	76	21	and	and	CCONJ
ejpam-6517	76	22	m.	m.	NOUN
ejpam-6517	76	23	mohiudin	mohiudin	PROPN
ejpam-6517	76	24	et	et	PROPN
ejpam-6517	76	25	al	al	PROPN
ejpam-6517	76	26	.	.	PUNCT
ejpam-6517	76	27	/	/	SYM
ejpam-6517	76	28	eur	eur	PROPN
ejpam-6517	76	29	.	.	PUNCT
ejpam-6517	77	1	j.	j.	PROPN
ejpam-6517	77	2	pure	pure	PROPN
ejpam-6517	77	3	appl	appl	PROPN
ejpam-6517	77	4	.	.	PROPN
ejpam-6517	77	5	math	math	PROPN
ejpam-6517	77	6	,	,	PUNCT
ejpam-6517	77	7	18	18	NUM
ejpam-6517	77	8	(	(	PUNCT
ejpam-6517	77	9	3	3	NUM
ejpam-6517	77	10	)	)	PUNCT
ejpam-6517	77	11	(	(	PUNCT
ejpam-6517	77	12	2025	2025	NUM
ejpam-6517	77	13	)	)	PUNCT
ejpam-6517	77	14	,	,	PUNCT
ejpam-6517	77	15	6517	6517	NUM
ejpam-6517	77	16	4	4	NUM
ejpam-6517	77	17	of	of	ADP
ejpam-6517	77	18	40	40	NUM
ejpam-6517	77	19	infected	infected	ADJ
ejpam-6517	77	20	individuals	individual	NOUN
ejpam-6517	77	21	.	.	PUNCT
ejpam-6517	78	1	this	this	PRON
ejpam-6517	78	2	gives	give	VERB
ejpam-6517	78	3	them	they	PRON
ejpam-6517	78	4	insights	insight	NOUN
ejpam-6517	78	5	into	into	ADP
ejpam-6517	78	6	how	how	SCONJ
ejpam-6517	78	7	illnesses	illness	NOUN
ejpam-6517	78	8	propagate	propagate	VERB
ejpam-6517	78	9	.	.	PUNCT
ejpam-6517	79	1	these	these	DET
ejpam-6517	79	2	models	model	NOUN
ejpam-6517	79	3	forecast	forecast	VERB
ejpam-6517	79	4	how	how	SCONJ
ejpam-6517	79	5	an	an	DET
ejpam-6517	79	6	epidemic	epidemic	NOUN
ejpam-6517	79	7	will	will	AUX
ejpam-6517	79	8	develop	develop	VERB
ejpam-6517	79	9	by	by	ADP
ejpam-6517	79	10	taking	take	VERB
ejpam-6517	79	11	into	into	ADP
ejpam-6517	79	12	account	account	NOUN
ejpam-6517	79	13	a	a	DET
ejpam-6517	79	14	number	number	NOUN
ejpam-6517	79	15	of	of	ADP
ejpam-6517	79	16	variables	variable	NOUN
ejpam-6517	79	17	,	,	PUNCT
ejpam-6517	79	18	including	include	VERB
ejpam-6517	79	19	population	population	NOUN
ejpam-6517	79	20	size	size	NOUN
ejpam-6517	79	21	,	,	PUNCT
ejpam-6517	79	22	transmission	transmission	NOUN
ejpam-6517	79	23	rates	rate	NOUN
ejpam-6517	79	24	,	,	PUNCT
ejpam-6517	79	25	and	and	CCONJ
ejpam-6517	79	26	response	response	NOUN
ejpam-6517	79	27	tactics	tactic	NOUN
ejpam-6517	79	28	.	.	PUNCT
ejpam-6517	80	1	they	they	PRON
ejpam-6517	80	2	are	be	AUX
ejpam-6517	80	3	able	able	ADJ
ejpam-6517	80	4	to	to	PART
ejpam-6517	80	5	predict	predict	VERB
ejpam-6517	80	6	when	when	SCONJ
ejpam-6517	80	7	peak	peak	NOUN
ejpam-6517	80	8	cases	case	NOUN
ejpam-6517	80	9	will	will	AUX
ejpam-6517	80	10	occur	occur	VERB
ejpam-6517	80	11	,	,	PUNCT
ejpam-6517	80	12	the	the	DET
ejpam-6517	80	13	possible	possible	ADJ
ejpam-6517	80	14	number	number	NOUN
ejpam-6517	80	15	of	of	ADP
ejpam-6517	80	16	infections	infection	NOUN
ejpam-6517	80	17	,	,	PUNCT
ejpam-6517	80	18	and	and	CCONJ
ejpam-6517	80	19	the	the	DET
ejpam-6517	80	20	effects	effect	NOUN
ejpam-6517	80	21	of	of	ADP
ejpam-6517	80	22	various	various	ADJ
ejpam-6517	80	23	control	control	NOUN
ejpam-6517	80	24	strategies	strategy	NOUN
ejpam-6517	80	25	.	.	PUNCT
ejpam-6517	81	1	sensitivity	sensitivity	NOUN
ejpam-6517	81	2	analysis	analysis	NOUN
ejpam-6517	81	3	finds	find	VERB
ejpam-6517	81	4	important	important	ADJ
ejpam-6517	81	5	parameters	parameter	NOUN
ejpam-6517	81	6	that	that	PRON
ejpam-6517	81	7	affect	affect	VERB
ejpam-6517	81	8	results	result	NOUN
ejpam-6517	81	9	and	and	CCONJ
ejpam-6517	81	10	aids	aid	NOUN
ejpam-6517	81	11	in	in	ADP
ejpam-6517	81	12	evaluating	evaluate	VERB
ejpam-6517	81	13	the	the	DET
ejpam-6517	81	14	model	model	NOUN
ejpam-6517	81	15	’s	’s	PART
ejpam-6517	81	16	robustness	robustness	NOUN
ejpam-6517	81	17	.	.	PUNCT
ejpam-6517	82	1	furthermore	furthermore	ADV
ejpam-6517	82	2	,	,	PUNCT
ejpam-6517	82	3	mathematical	mathematical	ADJ
ejpam-6517	82	4	modeling	modeling	NOUN
ejpam-6517	82	5	has	have	AUX
ejpam-6517	82	6	played	play	VERB
ejpam-6517	82	7	a	a	DET
ejpam-6517	82	8	critical	critical	ADJ
ejpam-6517	82	9	role	role	NOUN
ejpam-6517	82	10	in	in	ADP
ejpam-6517	82	11	guiding	guide	VERB
ejpam-6517	82	12	the	the	DET
ejpam-6517	82	13	implementation	implementation	NOUN
ejpam-6517	82	14	of	of	ADP
ejpam-6517	82	15	measures	measure	NOUN
ejpam-6517	82	16	like	like	ADP
ejpam-6517	82	17	lockdowns	lockdown	NOUN
ejpam-6517	82	18	,	,	PUNCT
ejpam-6517	82	19	testing	testing	NOUN
ejpam-6517	82	20	,	,	PUNCT
ejpam-6517	82	21	and	and	CCONJ
ejpam-6517	82	22	vaccination	vaccination	NOUN
ejpam-6517	82	23	campaigns	campaign	NOUN
ejpam-6517	82	24	in	in	ADP
ejpam-6517	82	25	response	response	NOUN
ejpam-6517	82	26	to	to	ADP
ejpam-6517	82	27	epidemic	epidemic	NOUN
ejpam-6517	82	28	outbreaks	outbreak	NOUN
ejpam-6517	82	29	.	.	PUNCT
ejpam-6517	83	1	models	model	NOUN
ejpam-6517	83	2	are	be	AUX
ejpam-6517	83	3	still	still	ADV
ejpam-6517	83	4	essential	essential	ADJ
ejpam-6517	83	5	resources	resource	NOUN
ejpam-6517	83	6	for	for	ADP
ejpam-6517	83	7	comprehending	comprehend	VERB
ejpam-6517	83	8	epidemics	epidemic	NOUN
ejpam-6517	83	9	and	and	CCONJ
ejpam-6517	83	10	creating	create	VERB
ejpam-6517	83	11	successful	successful	ADJ
ejpam-6517	83	12	treatments	treatment	NOUN
ejpam-6517	83	13	to	to	PART
ejpam-6517	83	14	safeguard	safeguard	VERB
ejpam-6517	83	15	public	public	ADJ
ejpam-6517	83	16	health	health	NOUN
ejpam-6517	83	17	,	,	PUNCT
ejpam-6517	83	18	despite	despite	SCONJ
ejpam-6517	83	19	their	their	PRON
ejpam-6517	83	20	limitations	limitation	NOUN
ejpam-6517	83	21	brought	bring	VERB
ejpam-6517	83	22	on	on	ADP
ejpam-6517	83	23	by	by	ADP
ejpam-6517	83	24	uncertainties	uncertainty	NOUN
ejpam-6517	83	25	and	and	CCONJ
ejpam-6517	83	26	simplifications	simplification	NOUN
ejpam-6517	83	27	[	[	X
ejpam-6517	83	28	16	16	NUM
ejpam-6517	83	29	]	]	PUNCT
ejpam-6517	83	30	.	.	PUNCT
ejpam-6517	84	1	analyzing	analyze	VERB
ejpam-6517	84	2	the	the	DET
ejpam-6517	84	3	effects	effect	NOUN
ejpam-6517	84	4	of	of	ADP
ejpam-6517	84	5	vaccine	vaccine	NOUN
ejpam-6517	84	6	hesitancy	hesitancy	NOUN
ejpam-6517	84	7	,	,	PUNCT
ejpam-6517	84	8	taking	take	VERB
ejpam-6517	84	9	into	into	ADP
ejpam-6517	84	10	account	account	NOUN
ejpam-6517	84	11	geographical	geographical	ADJ
ejpam-6517	84	12	considerations	consideration	NOUN
ejpam-6517	84	13	for	for	ADP
ejpam-6517	84	14	limited	limited	ADJ
ejpam-6517	84	15	pandemics	pandemic	NOUN
ejpam-6517	84	16	,	,	PUNCT
ejpam-6517	84	17	and	and	CCONJ
ejpam-6517	84	18	dealing	deal	VERB
ejpam-6517	84	19	with	with	ADP
ejpam-6517	84	20	the	the	DET
ejpam-6517	84	21	connection	connection	NOUN
ejpam-6517	84	22	between	between	ADP
ejpam-6517	84	23	measles	measle	NOUN
ejpam-6517	84	24	and	and	CCONJ
ejpam-6517	84	25	other	other	ADJ
ejpam-6517	84	26	illnesses	illness	NOUN
ejpam-6517	84	27	within	within	ADP
ejpam-6517	84	28	large	large	ADJ
ejpam-6517	84	29	epidemiological	epidemiological	ADJ
ejpam-6517	84	30	networks	network	NOUN
ejpam-6517	84	31	have	have	AUX
ejpam-6517	84	32	been	be	AUX
ejpam-6517	84	33	the	the	DET
ejpam-6517	84	34	main	main	ADJ
ejpam-6517	84	35	focuses	focus	NOUN
ejpam-6517	84	36	of	of	ADP
ejpam-6517	84	37	recent	recent	ADJ
ejpam-6517	84	38	advances	advance	NOUN
ejpam-6517	84	39	in	in	ADP
ejpam-6517	84	40	mathematical	mathematical	ADJ
ejpam-6517	84	41	simulation	simulation	NOUN
ejpam-6517	84	42	of	of	ADP
ejpam-6517	84	43	measles	measle	NOUN
ejpam-6517	84	44	[	[	X
ejpam-6517	84	45	17	17	NUM
ejpam-6517	84	46	]	]	PUNCT
ejpam-6517	84	47	.	.	PUNCT
ejpam-6517	85	1	a	a	DET
ejpam-6517	85	2	mathematical	mathematical	ADJ
ejpam-6517	85	3	approach	approach	NOUN
ejpam-6517	85	4	called	call	VERB
ejpam-6517	85	5	optimal	optimal	ADJ
ejpam-6517	85	6	control	control	NOUN
ejpam-6517	85	7	theory	theory	NOUN
ejpam-6517	85	8	,	,	PUNCT
ejpam-6517	85	9	when	when	SCONJ
ejpam-6517	85	10	applied	apply	VERB
ejpam-6517	85	11	to	to	ADP
ejpam-6517	85	12	epidemic	epidemic	NOUN
ejpam-6517	85	13	models	model	NOUN
ejpam-6517	85	14	,	,	PUNCT
ejpam-6517	85	15	seeks	seek	VERB
ejpam-6517	85	16	to	to	PART
ejpam-6517	85	17	determine	determine	VERB
ejpam-6517	85	18	the	the	DET
ejpam-6517	85	19	best	good	ADJ
ejpam-6517	85	20	ways	way	NOUN
ejpam-6517	85	21	to	to	PART
ejpam-6517	85	22	stop	stop	VERB
ejpam-6517	85	23	the	the	DET
ejpam-6517	85	24	spread	spread	NOUN
ejpam-6517	85	25	of	of	ADP
ejpam-6517	85	26	infectious	infectious	ADJ
ejpam-6517	85	27	illnesses	illness	NOUN
ejpam-6517	85	28	inside	inside	ADP
ejpam-6517	85	29	the	the	DET
ejpam-6517	85	30	community	community	NOUN
ejpam-6517	85	31	[	[	X
ejpam-6517	85	32	17–19	17–19	NUM
ejpam-6517	85	33	]	]	PUNCT
ejpam-6517	85	34	.	.	PUNCT
ejpam-6517	86	1	the	the	DET
ejpam-6517	86	2	theory	theory	NOUN
ejpam-6517	86	3	aims	aim	VERB
ejpam-6517	86	4	to	to	PART
ejpam-6517	86	5	ascertain	ascertain	VERB
ejpam-6517	86	6	the	the	DET
ejpam-6517	86	7	best	good	ADJ
ejpam-6517	86	8	way	way	NOUN
ejpam-6517	86	9	to	to	PART
ejpam-6517	86	10	distribute	distribute	VERB
ejpam-6517	86	11	resources	resource	NOUN
ejpam-6517	86	12	,	,	PUNCT
ejpam-6517	86	13	including	include	VERB
ejpam-6517	86	14	vaccination	vaccination	NOUN
ejpam-6517	86	15	campaigns	campaign	NOUN
ejpam-6517	86	16	,	,	PUNCT
ejpam-6517	86	17	quarantine	quarantine	NOUN
ejpam-6517	86	18	policies	policy	NOUN
ejpam-6517	86	19	,	,	PUNCT
ejpam-6517	86	20	medication	medication	NOUN
ejpam-6517	86	21	transportation	transportation	NOUN
ejpam-6517	86	22	,	,	PUNCT
ejpam-6517	86	23	and	and	CCONJ
ejpam-6517	86	24	various	various	ADJ
ejpam-6517	86	25	other	other	ADJ
ejpam-6517	86	26	public	public	ADJ
ejpam-6517	86	27	health	health	NOUN
ejpam-6517	86	28	initiatives	initiative	NOUN
ejpam-6517	86	29	,	,	PUNCT
ejpam-6517	86	30	by	by	ADP
ejpam-6517	86	31	using	use	VERB
ejpam-6517	86	32	mathematical	mathematical	ADJ
ejpam-6517	86	33	models	model	NOUN
ejpam-6517	86	34	that	that	PRON
ejpam-6517	86	35	illustrate	illustrate	VERB
ejpam-6517	86	36	the	the	DET
ejpam-6517	86	37	dynamics	dynamic	NOUN
ejpam-6517	86	38	of	of	ADP
ejpam-6517	86	39	disease	disease	NOUN
ejpam-6517	86	40	transmission	transmission	NOUN
ejpam-6517	86	41	.	.	PUNCT
ejpam-6517	87	1	this	this	PRON
ejpam-6517	87	2	entails	entail	VERB
ejpam-6517	87	3	developing	develop	VERB
ejpam-6517	87	4	a	a	DET
ejpam-6517	87	5	mathematical	mathematical	ADJ
ejpam-6517	87	6	function	function	NOUN
ejpam-6517	87	7	of	of	ADP
ejpam-6517	87	8	objective	objective	ADJ
ejpam-6517	87	9	variables	variable	NOUN
ejpam-6517	87	10	that	that	PRON
ejpam-6517	87	11	measures	measure	VERB
ejpam-6517	87	12	the	the	DET
ejpam-6517	87	13	expenses	expense	NOUN
ejpam-6517	87	14	related	relate	VERB
ejpam-6517	87	15	to	to	ADP
ejpam-6517	87	16	the	the	DET
ejpam-6517	87	17	effects	effect	NOUN
ejpam-6517	87	18	of	of	ADP
ejpam-6517	87	19	the	the	DET
ejpam-6517	87	20	disease	disease	NOUN
ejpam-6517	87	21	and	and	CCONJ
ejpam-6517	87	22	the	the	DET
ejpam-6517	87	23	use	use	NOUN
ejpam-6517	87	24	of	of	ADP
ejpam-6517	87	25	preventative	preventative	ADJ
ejpam-6517	87	26	interventions	intervention	NOUN
ejpam-6517	87	27	.	.	PUNCT
ejpam-6517	88	1	then	then	ADV
ejpam-6517	88	2	,	,	PUNCT
ejpam-6517	88	3	over	over	ADP
ejpam-6517	88	4	time	time	NOUN
ejpam-6517	88	5	,	,	PUNCT
ejpam-6517	88	6	the	the	DET
ejpam-6517	88	7	control	control	NOUN
ejpam-6517	88	8	variables	variable	NOUN
ejpam-6517	88	9	-	-	PUNCT
ejpam-6517	88	10	which	which	PRON
ejpam-6517	88	11	stand	stand	VERB
ejpam-6517	88	12	in	in	ADP
ejpam-6517	88	13	for	for	ADP
ejpam-6517	88	14	the	the	DET
ejpam-6517	88	15	interventionsare	interventionsare	NOUN
ejpam-6517	88	16	modified	modify	VERB
ejpam-6517	88	17	to	to	PART
ejpam-6517	88	18	minimize	minimize	VERB
ejpam-6517	88	19	the	the	DET
ejpam-6517	88	20	desired	desire	VERB
ejpam-6517	88	21	function	function	NOUN
ejpam-6517	88	22	while	while	SCONJ
ejpam-6517	88	23	respecting	respect	VERB
ejpam-6517	88	24	realistic	realistic	ADJ
ejpam-6517	88	25	restrictions	restriction	NOUN
ejpam-6517	88	26	like	like	ADP
ejpam-6517	88	27	financial	financial	ADJ
ejpam-6517	88	28	and	and	CCONJ
ejpam-6517	88	29	resource	resource	NOUN
ejpam-6517	88	30	constraints	constraint	NOUN
ejpam-6517	88	31	.	.	PUNCT
ejpam-6517	89	1	by	by	ADP
ejpam-6517	89	2	taking	take	VERB
ejpam-6517	89	3	into	into	ADP
ejpam-6517	89	4	account	account	NOUN
ejpam-6517	89	5	both	both	DET
ejpam-6517	89	6	epidemiological	epidemiological	ADJ
ejpam-6517	89	7	dynamics	dynamic	NOUN
ejpam-6517	89	8	and	and	CCONJ
ejpam-6517	89	9	pragmatic	pragmatic	ADJ
ejpam-6517	89	10	factors	factor	NOUN
ejpam-6517	89	11	,	,	PUNCT
ejpam-6517	89	12	optimum	optimum	ADJ
ejpam-6517	89	13	theory	theory	NOUN
ejpam-6517	89	14	of	of	ADP
ejpam-6517	89	15	control	control	NOUN
ejpam-6517	89	16	[	[	X
ejpam-6517	89	17	20	20	NUM
ejpam-6517	89	18	]	]	PUNCT
ejpam-6517	89	19	offers	offer	VERB
ejpam-6517	89	20	decision	decision	NOUN
ejpam-6517	89	21	-	-	PUNCT
ejpam-6517	89	22	makers	maker	NOUN
ejpam-6517	89	23	a	a	DET
ejpam-6517	89	24	methodical	methodical	ADJ
ejpam-6517	89	25	and	and	CCONJ
ejpam-6517	89	26	mathematical	mathematical	ADJ
ejpam-6517	89	27	system	system	NOUN
ejpam-6517	89	28	for	for	ADP
ejpam-6517	89	29	proactively	proactively	ADV
ejpam-6517	89	30	managing	manage	VERB
ejpam-6517	89	31	epidemics	epidemic	NOUN
ejpam-6517	89	32	.	.	PUNCT
ejpam-6517	90	1	furthermore	furthermore	ADV
ejpam-6517	90	2	,	,	PUNCT
ejpam-6517	90	3	sensitivity	sensitivity	NOUN
ejpam-6517	90	4	evaluation	evaluation	NOUN
ejpam-6517	90	5	and	and	CCONJ
ejpam-6517	90	6	measurement	measurement	NOUN
ejpam-6517	90	7	of	of	ADP
ejpam-6517	90	8	uncertainty	uncertainty	NOUN
ejpam-6517	90	9	are	be	AUX
ejpam-6517	90	10	being	be	AUX
ejpam-6517	90	11	used	use	VERB
ejpam-6517	90	12	in	in	ADP
ejpam-6517	90	13	optimal	optimal	ADJ
ejpam-6517	90	14	control	control	NOUN
ejpam-6517	90	15	studies	study	NOUN
ejpam-6517	90	16	to	to	PART
ejpam-6517	90	17	deal	deal	VERB
ejpam-6517	90	18	with	with	ADP
ejpam-6517	90	19	the	the	DET
ejpam-6517	90	20	inherent	inherent	ADJ
ejpam-6517	90	21	risk	risk	NOUN
ejpam-6517	90	22	in	in	ADP
ejpam-6517	90	23	disease	disease	NOUN
ejpam-6517	90	24	models	model	NOUN
ejpam-6517	90	25	[	[	X
ejpam-6517	90	26	21	21	NUM
ejpam-6517	90	27	,	,	PUNCT
ejpam-6517	90	28	22	22	NUM
ejpam-6517	90	29	]	]	PUNCT
ejpam-6517	90	30	.	.	PUNCT
ejpam-6517	91	1	this	this	PRON
ejpam-6517	91	2	makes	make	VERB
ejpam-6517	91	3	it	it	PRON
ejpam-6517	91	4	easier	easy	ADJ
ejpam-6517	91	5	to	to	PART
ejpam-6517	91	6	comprehend	comprehend	VERB
ejpam-6517	91	7	how	how	SCONJ
ejpam-6517	91	8	resilient	resilient	ADJ
ejpam-6517	91	9	control	control	NOUN
ejpam-6517	91	10	techniques	technique	NOUN
ejpam-6517	91	11	are	be	AUX
ejpam-6517	91	12	to	to	ADP
ejpam-6517	91	13	different	different	ADJ
ejpam-6517	91	14	situations	situation	NOUN
ejpam-6517	91	15	and	and	CCONJ
ejpam-6517	91	16	parameter	parameter	NOUN
ejpam-6517	91	17	uncertainty	uncertainty	NOUN
ejpam-6517	91	18	.	.	PUNCT
ejpam-6517	92	1	optimal	optimal	ADJ
ejpam-6517	92	2	control	control	NOUN
ejpam-6517	92	3	measures	measure	NOUN
ejpam-6517	92	4	today	today	NOUN
ejpam-6517	92	5	frequently	frequently	ADV
ejpam-6517	92	6	incorporate	incorporate	VERB
ejpam-6517	92	7	thorough	thorough	ADJ
ejpam-6517	92	8	cost	cost	NOUN
ejpam-6517	92	9	-	-	PUNCT
ejpam-6517	92	10	benefit	benefit	NOUN
ejpam-6517	92	11	analysis	analysis	NOUN
ejpam-6517	92	12	in	in	ADP
ejpam-6517	92	13	addition	addition	NOUN
ejpam-6517	92	14	to	to	ADP
ejpam-6517	92	15	minimizing	minimize	VERB
ejpam-6517	92	16	illness	illness	NOUN
ejpam-6517	92	17	burden	burden	NOUN
ejpam-6517	92	18	.	.	PUNCT
ejpam-6517	93	1	this	this	PRON
ejpam-6517	93	2	means	mean	VERB
ejpam-6517	93	3	assessing	assess	VERB
ejpam-6517	93	4	how	how	SCONJ
ejpam-6517	93	5	different	different	ADJ
ejpam-6517	93	6	solutions	solution	NOUN
ejpam-6517	93	7	will	will	AUX
ejpam-6517	93	8	affect	affect	VERB
ejpam-6517	93	9	the	the	DET
ejpam-6517	93	10	economy	economy	NOUN
ejpam-6517	93	11	in	in	ADP
ejpam-6517	93	12	terms	term	NOUN
ejpam-6517	93	13	of	of	ADP
ejpam-6517	93	14	medical	medical	ADJ
ejpam-6517	93	15	expenses	expense	NOUN
ejpam-6517	93	16	,	,	PUNCT
ejpam-6517	93	17	lost	lose	VERB
ejpam-6517	93	18	output	output	NOUN
ejpam-6517	93	19	,	,	PUNCT
ejpam-6517	93	20	and	and	CCONJ
ejpam-6517	93	21	intervention	intervention	NOUN
ejpam-6517	93	22	costs	cost	NOUN
ejpam-6517	93	23	.	.	PUNCT
ejpam-6517	94	1	by	by	ADP
ejpam-6517	94	2	taking	take	VERB
ejpam-6517	94	3	into	into	ADP
ejpam-6517	94	4	account	account	NOUN
ejpam-6517	94	5	both	both	CCONJ
ejpam-6517	94	6	financial	financial	ADJ
ejpam-6517	94	7	and	and	CCONJ
ejpam-6517	94	8	health	health	NOUN
ejpam-6517	94	9	outcomes	outcome	NOUN
ejpam-6517	94	10	,	,	PUNCT
ejpam-6517	94	11	this	this	DET
ejpam-6517	94	12	method	method	NOUN
ejpam-6517	94	13	helps	help	VERB
ejpam-6517	94	14	policymakers	policymaker	NOUN
ejpam-6517	94	15	make	make	VERB
ejpam-6517	94	16	well	well	ADV
ejpam-6517	94	17	-	-	PUNCT
ejpam-6517	94	18	informed	inform	VERB
ejpam-6517	94	19	decisions	decision	NOUN
ejpam-6517	94	20	[	[	X
ejpam-6517	94	21	23–25	23–25	NUM
ejpam-6517	94	22	]	]	PUNCT
ejpam-6517	94	23	.	.	PUNCT
ejpam-6517	95	1	measles	measle	NOUN
ejpam-6517	95	2	continues	continue	VERB
ejpam-6517	95	3	to	to	PART
ejpam-6517	95	4	pose	pose	VERB
ejpam-6517	95	5	a	a	DET
ejpam-6517	95	6	concern	concern	NOUN
ejpam-6517	95	7	to	to	ADP
ejpam-6517	95	8	world	world	NOUN
ejpam-6517	95	9	health	health	NOUN
ejpam-6517	95	10	because	because	SCONJ
ejpam-6517	95	11	of	of	ADP
ejpam-6517	95	12	its	its	PRON
ejpam-6517	95	13	high	high	ADJ
ejpam-6517	95	14	contagiousness	contagiousness	NOUN
ejpam-6517	95	15	and	and	CCONJ
ejpam-6517	95	16	quick	quick	ADJ
ejpam-6517	95	17	dissemination	dissemination	NOUN
ejpam-6517	95	18	,	,	PUNCT
ejpam-6517	95	19	particularly	particularly	ADV
ejpam-6517	95	20	in	in	ADP
ejpam-6517	95	21	places	place	NOUN
ejpam-6517	95	22	having	have	VERB
ejpam-6517	95	23	low	low	ADJ
ejpam-6517	95	24	immunization	immunization	NOUN
ejpam-6517	95	25	rates	rate	NOUN
ejpam-6517	95	26	.	.	PUNCT
ejpam-6517	96	1	the	the	DET
ejpam-6517	96	2	high	high	ADJ
ejpam-6517	96	3	frequency	frequency	NOUN
ejpam-6517	96	4	of	of	ADP
ejpam-6517	96	5	cross	cross	ADJ
ejpam-6517	96	6	-	-	ADJ
ejpam-6517	96	7	border	border	ADJ
ejpam-6517	96	8	transmission	transmission	NOUN
ejpam-6517	96	9	emphasizes	emphasize	VERB
ejpam-6517	96	10	how	how	SCONJ
ejpam-6517	96	11	urgently	urgently	ADV
ejpam-6517	96	12	worldwide	worldwide	ADJ
ejpam-6517	96	13	vaccination	vaccination	NOUN
ejpam-6517	96	14	and	and	CCONJ
ejpam-6517	96	15	concerted	concerted	ADJ
ejpam-6517	96	16	efforts	effort	NOUN
ejpam-6517	96	17	to	to	PART
ejpam-6517	96	18	stop	stop	VERB
ejpam-6517	96	19	epidemics	epidemic	NOUN
ejpam-6517	96	20	are	be	AUX
ejpam-6517	96	21	needed	need	VERB
ejpam-6517	96	22	.	.	PUNCT
ejpam-6517	97	1	the	the	DET
ejpam-6517	97	2	ultimate	ultimate	ADJ
ejpam-6517	97	3	goal	goal	NOUN
ejpam-6517	97	4	is	be	AUX
ejpam-6517	97	5	to	to	PART
ejpam-6517	97	6	contribute	contribute	VERB
ejpam-6517	97	7	to	to	ADP
ejpam-6517	97	8	the	the	DET
ejpam-6517	97	9	possible	possible	ADJ
ejpam-6517	97	10	eradication	eradication	NOUN
ejpam-6517	97	11	of	of	ADP
ejpam-6517	97	12	measles	measle	NOUN
ejpam-6517	97	13	by	by	ADP
ejpam-6517	97	14	creating	create	VERB
ejpam-6517	97	15	efficient	efficient	ADJ
ejpam-6517	97	16	disease	disease	NOUN
ejpam-6517	97	17	management	management	NOUN
ejpam-6517	97	18	systems	system	NOUN
ejpam-6517	97	19	.	.	PUNCT
ejpam-6517	98	1	the	the	DET
ejpam-6517	98	2	goal	goal	NOUN
ejpam-6517	98	3	of	of	ADP
ejpam-6517	98	4	this	this	DET
ejpam-6517	98	5	study	study	NOUN
ejpam-6517	98	6	is	be	AUX
ejpam-6517	98	7	to	to	PART
ejpam-6517	98	8	improve	improve	VERB
ejpam-6517	98	9	knowledge	knowledge	NOUN
ejpam-6517	98	10	about	about	ADP
ejpam-6517	98	11	measles	measle	NOUN
ejpam-6517	98	12	control	control	NOUN
ejpam-6517	98	13	and	and	CCONJ
ejpam-6517	98	14	transmission	transmission	NOUN
ejpam-6517	98	15	.	.	PUNCT
ejpam-6517	99	1	thus	thus	ADV
ejpam-6517	99	2	,	,	PUNCT
ejpam-6517	99	3	a	a	DET
ejpam-6517	99	4	thorough	thorough	ADJ
ejpam-6517	99	5	investigation	investigation	NOUN
ejpam-6517	99	6	of	of	ADP
ejpam-6517	99	7	viral	viral	ADJ
ejpam-6517	99	8	transmission	transmission	NOUN
ejpam-6517	99	9	dynamics	dynamic	NOUN
ejpam-6517	99	10	,	,	PUNCT
ejpam-6517	99	11	with	with	ADP
ejpam-6517	99	12	an	an	DET
ejpam-6517	99	13	emphasis	emphasis	NOUN
ejpam-6517	99	14	on	on	ADP
ejpam-6517	99	15	comprehending	comprehending	ADJ
ejpam-6517	99	16	,	,	PUNCT
ejpam-6517	99	17	controlling	control	VERB
ejpam-6517	99	18	,	,	PUNCT
ejpam-6517	99	19	and	and	CCONJ
ejpam-6517	99	20	improving	improve	VERB
ejpam-6517	99	21	control	control	NOUN
ejpam-6517	99	22	methods	method	NOUN
ejpam-6517	99	23	,	,	PUNCT
ejpam-6517	99	24	serves	serve	VERB
ejpam-6517	99	25	as	as	ADP
ejpam-6517	99	26	the	the	DET
ejpam-6517	99	27	driving	drive	VERB
ejpam-6517	99	28	force	force	NOUN
ejpam-6517	99	29	behind	behind	ADP
ejpam-6517	99	30	the	the	DET
ejpam-6517	99	31	study	study	NOUN
ejpam-6517	99	32	.	.	PUNCT
ejpam-6517	100	1	the	the	DET
ejpam-6517	100	2	goal	goal	NOUN
ejpam-6517	100	3	of	of	ADP
ejpam-6517	100	4	the	the	DET
ejpam-6517	100	5	study	study	NOUN
ejpam-6517	100	6	is	be	AUX
ejpam-6517	100	7	to	to	PART
ejpam-6517	100	8	make	make	VERB
ejpam-6517	100	9	a	a	DET
ejpam-6517	100	10	significant	significant	ADJ
ejpam-6517	100	11	contribution	contribution	NOUN
ejpam-6517	100	12	to	to	ADP
ejpam-6517	100	13	the	the	DET
ejpam-6517	100	14	fields	field	NOUN
ejpam-6517	100	15	of	of	ADP
ejpam-6517	100	16	pubm	pubm	PROPN
ejpam-6517	100	17	.	.	PUNCT
ejpam-6517	101	1	mohiudin	mohiudin	PROPN
ejpam-6517	101	2	et	et	PROPN
ejpam-6517	101	3	al	al	PROPN
ejpam-6517	101	4	.	.	PUNCT
ejpam-6517	101	5	/	/	SYM
ejpam-6517	101	6	eur	eur	PROPN
ejpam-6517	101	7	.	.	PUNCT
ejpam-6517	102	1	j.	j.	PROPN
ejpam-6517	102	2	pure	pure	PROPN
ejpam-6517	102	3	appl	appl	PROPN
ejpam-6517	102	4	.	.	PROPN
ejpam-6517	102	5	math	math	PROPN
ejpam-6517	102	6	,	,	PUNCT
ejpam-6517	102	7	18	18	NUM
ejpam-6517	102	8	(	(	PUNCT
ejpam-6517	102	9	3	3	NUM
ejpam-6517	102	10	)	)	PUNCT
ejpam-6517	102	11	(	(	PUNCT
ejpam-6517	102	12	2025	2025	NUM
ejpam-6517	102	13	)	)	PUNCT
ejpam-6517	102	14	,	,	PUNCT
ejpam-6517	102	15	6517	6517	NUM
ejpam-6517	102	16	5	5	NUM
ejpam-6517	102	17	of	of	ADP
ejpam-6517	102	18	40	40	NUM
ejpam-6517	102	19	lic	lic	ADJ
ejpam-6517	102	20	health	health	NOUN
ejpam-6517	102	21	policy	policy	NOUN
ejpam-6517	102	22	and	and	CCONJ
ejpam-6517	102	23	infectious	infectious	ADJ
ejpam-6517	102	24	disease	disease	NOUN
ejpam-6517	102	25	modeling	modeling	NOUN
ejpam-6517	102	26	.	.	PUNCT
ejpam-6517	103	1	the	the	DET
ejpam-6517	103	2	project	project	NOUN
ejpam-6517	103	3	is	be	AUX
ejpam-6517	103	4	to	to	PART
ejpam-6517	103	5	support	support	VERB
ejpam-6517	103	6	international	international	ADJ
ejpam-6517	103	7	health	health	NOUN
ejpam-6517	103	8	initiatives	initiative	NOUN
ejpam-6517	103	9	and	and	CCONJ
ejpam-6517	103	10	policies	policy	NOUN
ejpam-6517	103	11	targeted	target	VERB
ejpam-6517	103	12	at	at	ADP
ejpam-6517	103	13	avoiding	avoid	VERB
ejpam-6517	103	14	and	and	CCONJ
ejpam-6517	103	15	managing	manage	VERB
ejpam-6517	103	16	measles	measle	NOUN
ejpam-6517	103	17	outbreaks	outbreak	NOUN
ejpam-6517	103	18	by	by	ADP
ejpam-6517	103	19	evaluating	evaluate	VERB
ejpam-6517	103	20	the	the	DET
ejpam-6517	103	21	efficacy	efficacy	NOUN
ejpam-6517	103	22	of	of	ADP
ejpam-6517	103	23	various	various	ADJ
ejpam-6517	103	24	control	control	NOUN
ejpam-6517	103	25	tactics	tactic	NOUN
ejpam-6517	103	26	,	,	PUNCT
ejpam-6517	103	27	such	such	ADJ
ejpam-6517	103	28	as	as	ADP
ejpam-6517	103	29	continuous	continuous	ADJ
ejpam-6517	103	30	measures	measure	NOUN
ejpam-6517	103	31	and	and	CCONJ
ejpam-6517	103	32	optimal	optimal	ADJ
ejpam-6517	103	33	interventions	intervention	NOUN
ejpam-6517	103	34	.	.	PUNCT
ejpam-6517	104	1	enhancing	enhance	VERB
ejpam-6517	104	2	our	our	PRON
ejpam-6517	104	3	knowledge	knowledge	NOUN
ejpam-6517	104	4	of	of	ADP
ejpam-6517	104	5	measles	measle	NOUN
ejpam-6517	104	6	behavior	behavior	NOUN
ejpam-6517	104	7	and	and	CCONJ
ejpam-6517	104	8	offering	offer	VERB
ejpam-6517	104	9	evidence	evidence	NOUN
ejpam-6517	104	10	-	-	PUNCT
ejpam-6517	104	11	based	base	VERB
ejpam-6517	104	12	suggestions	suggestion	NOUN
ejpam-6517	104	13	for	for	ADP
ejpam-6517	104	14	better	well	ADJ
ejpam-6517	104	15	disease	disease	NOUN
ejpam-6517	104	16	management	management	NOUN
ejpam-6517	104	17	globally	globally	ADV
ejpam-6517	104	18	are	be	AUX
ejpam-6517	104	19	the	the	DET
ejpam-6517	104	20	ultimate	ultimate	ADJ
ejpam-6517	104	21	goals	goal	NOUN
ejpam-6517	104	22	.	.	PUNCT
ejpam-6517	105	1	a	a	DET
ejpam-6517	105	2	research	research	NOUN
ejpam-6517	105	3	team	team	NOUN
ejpam-6517	105	4	recently	recently	ADV
ejpam-6517	105	5	created	create	VERB
ejpam-6517	105	6	an	an	DET
ejpam-6517	105	7	seir	seir	ADJ
ejpam-6517	105	8	measles	measle	NOUN
ejpam-6517	105	9	simulation	simulation	NOUN
ejpam-6517	105	10	[	[	X
ejpam-6517	105	11	26	26	NUM
ejpam-6517	105	12	]	]	X
ejpam-6517	105	13	,	,	PUNCT
ejpam-6517	105	14	which	which	PRON
ejpam-6517	105	15	was	be	AUX
ejpam-6517	105	16	released	release	VERB
ejpam-6517	105	17	in	in	ADP
ejpam-6517	105	18	2019	2019	NUM
ejpam-6517	105	19	.	.	PUNCT
ejpam-6517	106	1	their	their	PRON
ejpam-6517	106	2	goals	goal	NOUN
ejpam-6517	106	3	were	be	AUX
ejpam-6517	106	4	to	to	PART
ejpam-6517	106	5	conduct	conduct	VERB
ejpam-6517	106	6	numerical	numerical	ADJ
ejpam-6517	106	7	simulations	simulation	NOUN
ejpam-6517	106	8	to	to	PART
ejpam-6517	106	9	examine	examine	VERB
ejpam-6517	106	10	the	the	DET
ejpam-6517	106	11	evolution	evolution	NOUN
ejpam-6517	106	12	of	of	ADP
ejpam-6517	106	13	measles	measle	NOUN
ejpam-6517	106	14	disease	disease	NOUN
ejpam-6517	106	15	in	in	ADP
ejpam-6517	106	16	the	the	DET
ejpam-6517	106	17	future	future	NOUN
ejpam-6517	106	18	and	and	CCONJ
ejpam-6517	106	19	to	to	PART
ejpam-6517	106	20	assess	assess	VERB
ejpam-6517	106	21	the	the	DET
ejpam-6517	106	22	model	model	NOUN
ejpam-6517	106	23	’s	’s	PART
ejpam-6517	106	24	existence	existence	NOUN
ejpam-6517	106	25	,	,	PUNCT
ejpam-6517	106	26	uniqueness	uniqueness	NOUN
ejpam-6517	106	27	,	,	PUNCT
ejpam-6517	106	28	and	and	CCONJ
ejpam-6517	106	29	local	local	ADJ
ejpam-6517	106	30	stability	stability	NOUN
ejpam-6517	106	31	in	in	ADP
ejpam-6517	106	32	a	a	DET
ejpam-6517	106	33	disease	disease	NOUN
ejpam-6517	106	34	-	-	PUNCT
ejpam-6517	106	35	free	free	ADJ
ejpam-6517	106	36	state	state	NOUN
ejpam-6517	106	37	only	only	ADV
ejpam-6517	106	38	.	.	PUNCT
ejpam-6517	107	1	but	but	CCONJ
ejpam-6517	107	2	there	there	PRON
ejpam-6517	107	3	are	be	VERB
ejpam-6517	107	4	several	several	ADJ
ejpam-6517	107	5	problems	problem	NOUN
ejpam-6517	107	6	with	with	ADP
ejpam-6517	107	7	their	their	PRON
ejpam-6517	107	8	strategy	strategy	NOUN
ejpam-6517	107	9	.	.	PUNCT
ejpam-6517	108	1	for	for	ADP
ejpam-6517	108	2	instance	instance	NOUN
ejpam-6517	108	3	,	,	PUNCT
ejpam-6517	108	4	they	they	PRON
ejpam-6517	108	5	employed	employ	VERB
ejpam-6517	108	6	a	a	DET
ejpam-6517	108	7	selectively	selectively	ADV
ejpam-6517	108	8	converging	converge	VERB
ejpam-6517	108	9	rk4	rk4	PROPN
ejpam-6517	108	10	numerical	numerical	ADJ
ejpam-6517	108	11	scheme	scheme	NOUN
ejpam-6517	108	12	to	to	PART
ejpam-6517	108	13	confirm	confirm	VERB
ejpam-6517	108	14	their	their	PRON
ejpam-6517	108	15	analytical	analytical	ADJ
ejpam-6517	108	16	conclusions	conclusion	NOUN
ejpam-6517	108	17	,	,	PUNCT
ejpam-6517	108	18	carried	carry	VERB
ejpam-6517	108	19	out	out	ADP
ejpam-6517	108	20	an	an	DET
ejpam-6517	108	21	insufficient	insufficient	ADJ
ejpam-6517	108	22	sensitivity	sensitivity	NOUN
ejpam-6517	108	23	analysis	analysis	NOUN
ejpam-6517	108	24	,	,	PUNCT
ejpam-6517	108	25	and	and	CCONJ
ejpam-6517	108	26	failed	fail	VERB
ejpam-6517	108	27	to	to	PART
ejpam-6517	108	28	demonstrate	demonstrate	VERB
ejpam-6517	108	29	the	the	DET
ejpam-6517	108	30	models	model	NOUN
ejpam-6517	108	31	global	global	ADJ
ejpam-6517	108	32	and	and	CCONJ
ejpam-6517	108	33	local	local	ADJ
ejpam-6517	108	34	asymptotic	asymptotic	ADJ
ejpam-6517	108	35	processes	process	NOUN
ejpam-6517	108	36	at	at	ADP
ejpam-6517	108	37	its	its	PRON
ejpam-6517	108	38	equilibrium	equilibrium	NOUN
ejpam-6517	108	39	states	state	NOUN
ejpam-6517	108	40	.	.	PUNCT
ejpam-6517	109	1	measles	measle	NOUN
ejpam-6517	109	2	can	can	AUX
ejpam-6517	109	3	be	be	AUX
ejpam-6517	109	4	eliminated	eliminate	VERB
ejpam-6517	109	5	from	from	ADP
ejpam-6517	109	6	the	the	DET
ejpam-6517	109	7	human	human	ADJ
ejpam-6517	109	8	population	population	NOUN
ejpam-6517	109	9	,	,	PUNCT
ejpam-6517	109	10	but	but	CCONJ
ejpam-6517	109	11	their	their	PRON
ejpam-6517	109	12	study	study	NOUN
ejpam-6517	109	13	does	do	AUX
ejpam-6517	109	14	n’t	not	PART
ejpam-6517	109	15	show	show	VERB
ejpam-6517	109	16	how	how	SCONJ
ejpam-6517	109	17	or	or	CCONJ
ejpam-6517	109	18	by	by	ADP
ejpam-6517	109	19	what	what	PRON
ejpam-6517	109	20	means	mean	VERB
ejpam-6517	109	21	.	.	PUNCT
ejpam-6517	110	1	it	it	PRON
ejpam-6517	110	2	is	be	AUX
ejpam-6517	110	3	essential	essential	ADJ
ejpam-6517	110	4	to	to	PART
ejpam-6517	110	5	comprehend	comprehend	VERB
ejpam-6517	110	6	how	how	SCONJ
ejpam-6517	110	7	interventions	intervention	NOUN
ejpam-6517	110	8	can	can	AUX
ejpam-6517	110	9	affect	affect	VERB
ejpam-6517	110	10	the	the	DET
ejpam-6517	110	11	dynamics	dynamic	NOUN
ejpam-6517	110	12	of	of	ADP
ejpam-6517	110	13	measles	measle	NOUN
ejpam-6517	110	14	in	in	ADP
ejpam-6517	110	15	order	order	NOUN
ejpam-6517	110	16	to	to	PART
ejpam-6517	110	17	influence	influence	VERB
ejpam-6517	110	18	public	public	ADJ
ejpam-6517	110	19	health	health	NOUN
ejpam-6517	110	20	policies	policy	NOUN
ejpam-6517	110	21	.	.	PUNCT
ejpam-6517	111	1	it	it	PRON
ejpam-6517	111	2	would	would	AUX
ejpam-6517	111	3	be	be	AUX
ejpam-6517	111	4	beneficial	beneficial	ADJ
ejpam-6517	111	5	to	to	PART
ejpam-6517	111	6	encourage	encourage	VERB
ejpam-6517	111	7	the	the	DET
ejpam-6517	111	8	researchers	researcher	NOUN
ejpam-6517	111	9	to	to	PART
ejpam-6517	111	10	investigate	investigate	VERB
ejpam-6517	111	11	other	other	ADJ
ejpam-6517	111	12	well	well	ADV
ejpam-6517	111	13	-	-	PUNCT
ejpam-6517	111	14	thought	think	VERB
ejpam-6517	111	15	-	-	PUNCT
ejpam-6517	111	16	out	out	ADP
ejpam-6517	111	17	intervention	intervention	NOUN
ejpam-6517	111	18	options	option	NOUN
ejpam-6517	111	19	,	,	PUNCT
ejpam-6517	111	20	such	such	ADJ
ejpam-6517	111	21	vaccination	vaccination	NOUN
ejpam-6517	111	22	campaigns	campaign	NOUN
ejpam-6517	111	23	or	or	CCONJ
ejpam-6517	111	24	restrictions	restriction	NOUN
ejpam-6517	111	25	on	on	ADP
ejpam-6517	111	26	quarantine	quarantine	NOUN
ejpam-6517	111	27	and	and	CCONJ
ejpam-6517	111	28	therapy	therapy	NOUN
ejpam-6517	111	29	,	,	PUNCT
ejpam-6517	111	30	and	and	CCONJ
ejpam-6517	111	31	to	to	PART
ejpam-6517	111	32	assess	assess	VERB
ejpam-6517	111	33	how	how	SCONJ
ejpam-6517	111	34	well	well	ADV
ejpam-6517	111	35	they	they	PRON
ejpam-6517	111	36	work	work	VERB
ejpam-6517	111	37	to	to	PART
ejpam-6517	111	38	control	control	VERB
ejpam-6517	111	39	or	or	CCONJ
ejpam-6517	111	40	eradicate	eradicate	VERB
ejpam-6517	111	41	measles	measle	NOUN
ejpam-6517	111	42	from	from	ADP
ejpam-6517	111	43	the	the	DET
ejpam-6517	111	44	human	human	ADJ
ejpam-6517	111	45	population	population	NOUN
ejpam-6517	111	46	.	.	PUNCT
ejpam-6517	112	1	in	in	ADP
ejpam-6517	112	2	order	order	NOUN
ejpam-6517	112	3	to	to	PART
ejpam-6517	112	4	examine	examine	VERB
ejpam-6517	112	5	the	the	DET
ejpam-6517	112	6	long	long	ADJ
ejpam-6517	112	7	-	-	PUNCT
ejpam-6517	112	8	term	term	NOUN
ejpam-6517	112	9	dynamics	dynamic	NOUN
ejpam-6517	112	10	of	of	ADP
ejpam-6517	112	11	measles	measle	NOUN
ejpam-6517	112	12	disease	disease	NOUN
ejpam-6517	112	13	,	,	PUNCT
ejpam-6517	112	14	we	we	PRON
ejpam-6517	112	15	developed	develop	VERB
ejpam-6517	112	16	an	an	DET
ejpam-6517	112	17	expanded	expand	VERB
ejpam-6517	112	18	sveitr	sveitr	ADJ
ejpam-6517	112	19	model	model	NOUN
ejpam-6517	112	20	in	in	ADP
ejpam-6517	112	21	the	the	DET
ejpam-6517	112	22	current	current	ADJ
ejpam-6517	112	23	study	study	NOUN
ejpam-6517	112	24	by	by	ADP
ejpam-6517	112	25	including	include	VERB
ejpam-6517	112	26	therapy	therapy	NOUN
ejpam-6517	112	27	and	and	CCONJ
ejpam-6517	112	28	vaccination	vaccination	NOUN
ejpam-6517	112	29	compartments	compartment	NOUN
ejpam-6517	113	1	[	[	X
ejpam-6517	113	2	26	26	NUM
ejpam-6517	113	3	]	]	PUNCT
ejpam-6517	113	4	.	.	PUNCT
ejpam-6517	114	1	those	those	PRON
ejpam-6517	114	2	that	that	PRON
ejpam-6517	114	3	are	be	AUX
ejpam-6517	114	4	infected	infect	VERB
ejpam-6517	114	5	are	be	AUX
ejpam-6517	114	6	referred	refer	VERB
ejpam-6517	114	7	to	to	ADP
ejpam-6517	114	8	treatment	treatment	NOUN
ejpam-6517	114	9	,	,	PUNCT
ejpam-6517	114	10	where	where	SCONJ
ejpam-6517	114	11	they	they	PRON
ejpam-6517	114	12	are	be	AUX
ejpam-6517	114	13	segregated	segregate	VERB
ejpam-6517	114	14	or	or	CCONJ
ejpam-6517	114	15	given	give	VERB
ejpam-6517	114	16	the	the	DET
ejpam-6517	114	17	necessary	necessary	ADJ
ejpam-6517	114	18	medical	medical	ADJ
ejpam-6517	114	19	attention	attention	NOUN
ejpam-6517	114	20	.	.	PUNCT
ejpam-6517	115	1	in	in	ADP
ejpam-6517	115	2	the	the	DET
ejpam-6517	115	3	meanwhile	meanwhile	NOUN
ejpam-6517	115	4	,	,	PUNCT
ejpam-6517	115	5	those	those	PRON
ejpam-6517	115	6	with	with	ADP
ejpam-6517	115	7	strong	strong	ADJ
ejpam-6517	115	8	immune	immune	ADJ
ejpam-6517	115	9	systems	system	NOUN
ejpam-6517	115	10	can	can	AUX
ejpam-6517	115	11	heal	heal	VERB
ejpam-6517	115	12	themselves	themselves	PRON
ejpam-6517	115	13	without	without	ADP
ejpam-6517	115	14	medical	medical	ADJ
ejpam-6517	115	15	intervention	intervention	NOUN
ejpam-6517	115	16	.	.	PUNCT
ejpam-6517	116	1	in	in	ADP
ejpam-6517	116	2	situations	situation	NOUN
ejpam-6517	116	3	where	where	SCONJ
ejpam-6517	116	4	there	there	PRON
ejpam-6517	116	5	is	be	VERB
ejpam-6517	116	6	still	still	ADV
ejpam-6517	116	7	a	a	DET
ejpam-6517	116	8	possibility	possibility	NOUN
ejpam-6517	116	9	of	of	ADP
ejpam-6517	116	10	exposure	exposure	NOUN
ejpam-6517	116	11	for	for	ADP
ejpam-6517	116	12	vaccinated	vaccinated	ADJ
ejpam-6517	116	13	persons	person	NOUN
ejpam-6517	116	14	due	due	ADP
ejpam-6517	116	15	to	to	ADP
ejpam-6517	116	16	an	an	DET
ejpam-6517	116	17	incomplete	incomplete	ADJ
ejpam-6517	116	18	vaccine	vaccine	NOUN
ejpam-6517	116	19	,	,	PUNCT
ejpam-6517	116	20	susceptible	susceptible	ADJ
ejpam-6517	116	21	individuals	individual	NOUN
ejpam-6517	116	22	are	be	AUX
ejpam-6517	116	23	vaccinated	vaccinate	VERB
ejpam-6517	116	24	.	.	PUNCT
ejpam-6517	117	1	we	we	PRON
ejpam-6517	117	2	extended	extend	VERB
ejpam-6517	117	3	the	the	DET
ejpam-6517	117	4	model	model	NOUN
ejpam-6517	117	5	[	[	X
ejpam-6517	117	6	26	26	NUM
ejpam-6517	117	7	]	]	PUNCT
ejpam-6517	117	8	and	and	CCONJ
ejpam-6517	117	9	showed	show	VERB
ejpam-6517	117	10	its	its	PRON
ejpam-6517	117	11	existence	existence	NOUN
ejpam-6517	117	12	and	and	CCONJ
ejpam-6517	117	13	uniqueness	uniqueness	NOUN
ejpam-6517	117	14	,	,	PUNCT
ejpam-6517	117	15	key	key	ADJ
ejpam-6517	117	16	properties	property	NOUN
ejpam-6517	117	17	,	,	PUNCT
ejpam-6517	117	18	and	and	CCONJ
ejpam-6517	117	19	both	both	CCONJ
ejpam-6517	117	20	global	global	ADJ
ejpam-6517	117	21	and	and	CCONJ
ejpam-6517	117	22	local	local	ADJ
ejpam-6517	117	23	hyperbolic	hyperbolic	ADJ
ejpam-6517	117	24	stability	stability	NOUN
ejpam-6517	117	25	at	at	ADP
ejpam-6517	117	26	its	its	PRON
ejpam-6517	117	27	equilibrium	equilibrium	NOUN
ejpam-6517	117	28	states	state	NOUN
ejpam-6517	117	29	in	in	ADP
ejpam-6517	117	30	order	order	NOUN
ejpam-6517	117	31	to	to	PART
ejpam-6517	117	32	make	make	VERB
ejpam-6517	117	33	the	the	DET
ejpam-6517	117	34	problem	problem	NOUN
ejpam-6517	117	35	well	well	ADV
ejpam-6517	117	36	-	-	PUNCT
ejpam-6517	117	37	posed	pose	VERB
ejpam-6517	117	38	.	.	PUNCT
ejpam-6517	118	1	to	to	PART
ejpam-6517	118	2	evaluate	evaluate	VERB
ejpam-6517	118	3	the	the	DET
ejpam-6517	118	4	effect	effect	NOUN
ejpam-6517	118	5	of	of	ADP
ejpam-6517	118	6	the	the	DET
ejpam-6517	118	7	various	various	ADJ
ejpam-6517	118	8	parameters	parameter	NOUN
ejpam-6517	118	9	on	on	ADP
ejpam-6517	118	10	the	the	DET
ejpam-6517	118	11	spread	spread	NOUN
ejpam-6517	118	12	of	of	ADP
ejpam-6517	118	13	the	the	DET
ejpam-6517	118	14	disease	disease	NOUN
ejpam-6517	118	15	,	,	PUNCT
ejpam-6517	118	16	sensitivity	sensitivity	NOUN
ejpam-6517	118	17	analysis	analysis	NOUN
ejpam-6517	118	18	is	be	AUX
ejpam-6517	118	19	also	also	ADV
ejpam-6517	118	20	carried	carry	VERB
ejpam-6517	118	21	out	out	ADP
ejpam-6517	118	22	.	.	PUNCT
ejpam-6517	119	1	in	in	ADP
ejpam-6517	119	2	order	order	NOUN
ejpam-6517	119	3	to	to	PART
ejpam-6517	119	4	compare	compare	VERB
ejpam-6517	119	5	the	the	DET
ejpam-6517	119	6	deterministic	deterministic	ADJ
ejpam-6517	119	7	and	and	CCONJ
ejpam-6517	119	8	stochastic	stochastic	ADJ
ejpam-6517	119	9	numerical	numerical	ADJ
ejpam-6517	119	10	simulations	simulation	NOUN
ejpam-6517	119	11	,	,	PUNCT
ejpam-6517	119	12	we	we	PRON
ejpam-6517	119	13	also	also	ADV
ejpam-6517	119	14	transform	transform	VERB
ejpam-6517	119	15	the	the	DET
ejpam-6517	119	16	deterministic	deterministic	ADJ
ejpam-6517	119	17	model	model	NOUN
ejpam-6517	119	18	to	to	ADP
ejpam-6517	119	19	the	the	DET
ejpam-6517	119	20	stochastic	stochastic	ADJ
ejpam-6517	119	21	model	model	NOUN
ejpam-6517	119	22	.	.	PUNCT
ejpam-6517	120	1	the	the	DET
ejpam-6517	120	2	comparison	comparison	NOUN
ejpam-6517	120	3	demonstrates	demonstrate	VERB
ejpam-6517	120	4	the	the	DET
ejpam-6517	120	5	relationship	relationship	NOUN
ejpam-6517	120	6	between	between	ADP
ejpam-6517	120	7	the	the	DET
ejpam-6517	120	8	dynamics	dynamic	NOUN
ejpam-6517	120	9	and	and	CCONJ
ejpam-6517	120	10	how	how	SCONJ
ejpam-6517	120	11	they	they	PRON
ejpam-6517	120	12	change	change	VERB
ejpam-6517	120	13	over	over	ADP
ejpam-6517	120	14	time	time	NOUN
ejpam-6517	120	15	.	.	PUNCT
ejpam-6517	121	1	there	there	PRON
ejpam-6517	121	2	are	be	VERB
ejpam-6517	121	3	ten	ten	NUM
ejpam-6517	121	4	sections	section	NOUN
ejpam-6517	121	5	in	in	ADP
ejpam-6517	121	6	the	the	DET
ejpam-6517	121	7	manuscript	manuscript	NOUN
ejpam-6517	121	8	.	.	PUNCT
ejpam-6517	122	1	we	we	PRON
ejpam-6517	122	2	developed	develop	VERB
ejpam-6517	122	3	a	a	DET
ejpam-6517	122	4	dynamic	dynamic	ADJ
ejpam-6517	122	5	deterministic	deterministic	ADJ
ejpam-6517	122	6	measles	measle	NOUN
ejpam-6517	122	7	model	model	VERB
ejpam-6517	122	8	in	in	ADP
ejpam-6517	122	9	section	section	NOUN
ejpam-6517	122	10	2	2	NUM
ejpam-6517	122	11	and	and	CCONJ
ejpam-6517	122	12	evaluated	evaluate	VERB
ejpam-6517	122	13	a	a	DET
ejpam-6517	122	14	number	number	NOUN
ejpam-6517	122	15	of	of	ADP
ejpam-6517	122	16	its	its	PRON
ejpam-6517	122	17	qualitative	qualitative	ADJ
ejpam-6517	122	18	biological	biological	ADJ
ejpam-6517	122	19	characteristics	characteristic	NOUN
ejpam-6517	122	20	.	.	PUNCT
ejpam-6517	123	1	we	we	PRON
ejpam-6517	123	2	have	have	AUX
ejpam-6517	123	3	demonstrated	demonstrate	VERB
ejpam-6517	123	4	that	that	SCONJ
ejpam-6517	123	5	there	there	PRON
ejpam-6517	123	6	is	be	VERB
ejpam-6517	123	7	a	a	DET
ejpam-6517	123	8	unique	unique	ADJ
ejpam-6517	123	9	,	,	PUNCT
ejpam-6517	123	10	positive	positive	ADJ
ejpam-6517	123	11	,	,	PUNCT
ejpam-6517	123	12	and	and	CCONJ
ejpam-6517	123	13	bounded	bound	VERB
ejpam-6517	123	14	solution	solution	NOUN
ejpam-6517	123	15	in	in	ADP
ejpam-6517	123	16	order	order	NOUN
ejpam-6517	123	17	to	to	PART
ejpam-6517	123	18	establish	establish	VERB
ejpam-6517	123	19	epidemiologic	epidemiologic	ADJ
ejpam-6517	123	20	significance	significance	NOUN
ejpam-6517	123	21	,	,	PUNCT
ejpam-6517	123	22	making	make	VERB
ejpam-6517	123	23	the	the	DET
ejpam-6517	123	24	problem	problem	NOUN
ejpam-6517	123	25	clearly	clearly	ADV
ejpam-6517	123	26	specified	specify	VERB
ejpam-6517	123	27	in	in	ADP
ejpam-6517	123	28	sect	sect	NOUN
ejpam-6517	123	29	.	.	PUNCT
ejpam-6517	124	1	3	3	X
ejpam-6517	124	2	.	.	X
ejpam-6517	124	3	the	the	DET
ejpam-6517	124	4	model	model	NOUN
ejpam-6517	124	5	’s	’s	PART
ejpam-6517	124	6	identification	identification	NOUN
ejpam-6517	124	7	with	with	ADP
ejpam-6517	124	8	both	both	DET
ejpam-6517	124	9	disease	disease	NOUN
ejpam-6517	124	10	-	-	PUNCT
ejpam-6517	124	11	free	free	ADJ
ejpam-6517	124	12	and	and	CCONJ
ejpam-6517	124	13	epidemic	epidemic	NOUN
ejpam-6517	124	14	equilibrium	equilibrium	NOUN
ejpam-6517	124	15	states	state	NOUN
ejpam-6517	124	16	was	be	AUX
ejpam-6517	124	17	crucial	crucial	ADJ
ejpam-6517	124	18	to	to	ADP
ejpam-6517	124	19	understanding	understand	VERB
ejpam-6517	124	20	the	the	DET
ejpam-6517	124	21	long	long	ADJ
ejpam-6517	124	22	-	-	PUNCT
ejpam-6517	124	23	term	term	NOUN
ejpam-6517	124	24	behavior	behavior	NOUN
ejpam-6517	124	25	of	of	ADP
ejpam-6517	124	26	the	the	DET
ejpam-6517	124	27	illness	illness	NOUN
ejpam-6517	124	28	.	.	PUNCT
ejpam-6517	125	1	the	the	DET
ejpam-6517	125	2	numerical	numerical	ADJ
ejpam-6517	125	3	value	value	NOUN
ejpam-6517	125	4	of	of	ADP
ejpam-6517	125	5	the	the	DET
ejpam-6517	125	6	threshold	threshold	NOUN
ejpam-6517	125	7	factor	factor	NOUN
ejpam-6517	125	8	is	be	AUX
ejpam-6517	125	9	calculated	calculate	VERB
ejpam-6517	125	10	using	use	VERB
ejpam-6517	125	11	the	the	DET
ejpam-6517	125	12	next	next	ADJ
ejpam-6517	125	13	-	-	PUNCT
ejpam-6517	125	14	generation	generation	NOUN
ejpam-6517	125	15	approach	approach	NOUN
ejpam-6517	125	16	in	in	ADP
ejpam-6517	125	17	section	section	NOUN
ejpam-6517	125	18	4	4	NUM
ejpam-6517	125	19	.	.	PUNCT
ejpam-6517	126	1	the	the	DET
ejpam-6517	126	2	model	model	NOUN
ejpam-6517	126	3	’s	’s	PART
ejpam-6517	126	4	local	local	ADJ
ejpam-6517	126	5	and	and	CCONJ
ejpam-6517	126	6	global	global	ADJ
ejpam-6517	126	7	stable	stable	NOUN
ejpam-6517	126	8	at	at	ADP
ejpam-6517	126	9	its	its	PRON
ejpam-6517	126	10	equilibria	equilibrium	NOUN
ejpam-6517	126	11	was	be	AUX
ejpam-6517	126	12	established	establish	VERB
ejpam-6517	126	13	by	by	ADP
ejpam-6517	126	14	a	a	DET
ejpam-6517	126	15	thorough	thorough	ADJ
ejpam-6517	126	16	stability	stability	NOUN
ejpam-6517	126	17	study	study	NOUN
ejpam-6517	126	18	,	,	PUNCT
ejpam-6517	126	19	with	with	ADP
ejpam-6517	126	20	the	the	DET
ejpam-6517	126	21	threshold	threshold	NOUN
ejpam-6517	126	22	number	number	NOUN
ejpam-6517	126	23	subjected	subject	VERB
ejpam-6517	126	24	to	to	ADP
ejpam-6517	126	25	the	the	DET
ejpam-6517	126	26	required	require	VERB
ejpam-6517	126	27	circumstances	circumstance	NOUN
ejpam-6517	126	28	.	.	PUNCT
ejpam-6517	127	1	nonetheless	nonetheless	ADV
ejpam-6517	127	2	,	,	PUNCT
ejpam-6517	127	3	lyapunov	lyapunov	NOUN
ejpam-6517	127	4	theory	theory	NOUN
ejpam-6517	127	5	was	be	AUX
ejpam-6517	127	6	used	use	VERB
ejpam-6517	127	7	to	to	PART
ejpam-6517	127	8	demonstrate	demonstrate	VERB
ejpam-6517	127	9	global	global	ADJ
ejpam-6517	127	10	stability	stability	NOUN
ejpam-6517	127	11	in	in	ADP
ejpam-6517	127	12	section	section	NOUN
ejpam-6517	127	13	5	5	NUM
ejpam-6517	127	14	.	.	PUNCT
ejpam-6517	128	1	the	the	DET
ejpam-6517	128	2	model	model	NOUN
ejpam-6517	128	3	’s	’s	PART
ejpam-6517	128	4	sensitivity	sensitivity	NOUN
ejpam-6517	128	5	analysis	analysis	NOUN
ejpam-6517	128	6	is	be	AUX
ejpam-6517	128	7	shown	show	VERB
ejpam-6517	128	8	in	in	ADP
ejpam-6517	128	9	section	section	NOUN
ejpam-6517	128	10	6	6	NUM
ejpam-6517	128	11	,	,	PUNCT
ejpam-6517	128	12	and	and	CCONJ
ejpam-6517	128	13	the	the	DET
ejpam-6517	128	14	deterministic	deterministic	ADJ
ejpam-6517	128	15	model	model	NOUN
ejpam-6517	128	16	’s	’s	PART
ejpam-6517	128	17	numerical	numerical	ADJ
ejpam-6517	128	18	analysis	analysis	NOUN
ejpam-6517	128	19	is	be	AUX
ejpam-6517	128	20	presented	present	VERB
ejpam-6517	128	21	in	in	ADP
ejpam-6517	128	22	section	section	NOUN
ejpam-6517	128	23	7	7	NUM
ejpam-6517	128	24	.	.	PUNCT
ejpam-6517	128	25	section	section	NOUN
ejpam-6517	128	26	8	8	NUM
ejpam-6517	128	27	presents	present	VERB
ejpam-6517	128	28	the	the	DET
ejpam-6517	128	29	deterministic	deterministic	ADJ
ejpam-6517	128	30	model	model	NOUN
ejpam-6517	128	31	in	in	ADP
ejpam-6517	128	32	its	its	PRON
ejpam-6517	128	33	stochastic	stochastic	ADJ
ejpam-6517	128	34	form	form	NOUN
ejpam-6517	128	35	,	,	PUNCT
ejpam-6517	128	36	while	while	SCONJ
ejpam-6517	128	37	section	section	NOUN
ejpam-6517	128	38	9	9	NUM
ejpam-6517	128	39	presents	present	VERB
ejpam-6517	128	40	its	its	PRON
ejpam-6517	128	41	numerical	numerical	ADJ
ejpam-6517	128	42	simulation	simulation	NOUN
ejpam-6517	128	43	.	.	PUNCT
ejpam-6517	129	1	the	the	DET
ejpam-6517	129	2	conclusion	conclusion	NOUN
ejpam-6517	129	3	of	of	ADP
ejpam-6517	129	4	the	the	DET
ejpam-6517	129	5	entire	entire	ADJ
ejpam-6517	129	6	book	book	NOUN
ejpam-6517	129	7	is	be	AUX
ejpam-6517	129	8	m.	m.	NOUN
ejpam-6517	129	9	mohiudin	mohiudin	PROPN
ejpam-6517	129	10	et	et	PROPN
ejpam-6517	129	11	al	al	PROPN
ejpam-6517	129	12	.	.	PUNCT
ejpam-6517	129	13	/	/	SYM
ejpam-6517	129	14	eur	eur	PROPN
ejpam-6517	129	15	.	.	PUNCT
ejpam-6517	130	1	j.	j.	PROPN
ejpam-6517	130	2	pure	pure	PROPN
ejpam-6517	130	3	appl	appl	PROPN
ejpam-6517	130	4	.	.	PROPN
ejpam-6517	130	5	math	math	PROPN
ejpam-6517	130	6	,	,	PUNCT
ejpam-6517	130	7	18	18	NUM
ejpam-6517	130	8	(	(	PUNCT
ejpam-6517	130	9	3	3	NUM
ejpam-6517	130	10	)	)	PUNCT
ejpam-6517	130	11	(	(	PUNCT
ejpam-6517	130	12	2025	2025	NUM
ejpam-6517	130	13	)	)	PUNCT
ejpam-6517	130	14	,	,	PUNCT
ejpam-6517	130	15	6517	6517	NUM
ejpam-6517	130	16	6	6	NUM
ejpam-6517	130	17	of	of	ADP
ejpam-6517	130	18	40	40	NUM
ejpam-6517	130	19	presented	present	VERB
ejpam-6517	130	20	in	in	ADP
ejpam-6517	130	21	the	the	DET
ejpam-6517	130	22	last	last	ADJ
ejpam-6517	130	23	section	section	NOUN
ejpam-6517	130	24	.	.	PUNCT
ejpam-6517	131	1	2	2	X
ejpam-6517	131	2	.	.	X
ejpam-6517	131	3	formulation	formulation	NOUN
ejpam-6517	131	4	of	of	ADP
ejpam-6517	131	5	the	the	DET
ejpam-6517	131	6	model	model	NOUN
ejpam-6517	131	7	numerous	numerous	ADJ
ejpam-6517	131	8	papers	paper	NOUN
ejpam-6517	131	9	have	have	AUX
ejpam-6517	131	10	detailed	detail	VERB
ejpam-6517	131	11	a	a	DET
ejpam-6517	131	12	number	number	NOUN
ejpam-6517	131	13	of	of	ADP
ejpam-6517	131	14	mathematical	mathematical	ADJ
ejpam-6517	131	15	models	model	NOUN
ejpam-6517	131	16	to	to	PART
ejpam-6517	131	17	examine	examine	VERB
ejpam-6517	131	18	the	the	DET
ejpam-6517	131	19	dynamics	dynamic	NOUN
ejpam-6517	131	20	behind	behind	ADP
ejpam-6517	131	21	the	the	DET
ejpam-6517	131	22	spread	spread	NOUN
ejpam-6517	131	23	of	of	ADP
ejpam-6517	131	24	measles	measle	NOUN
ejpam-6517	131	25	[	[	X
ejpam-6517	131	26	27–31	27–31	PROPN
ejpam-6517	131	27	]	]	PUNCT
ejpam-6517	131	28	.	.	PUNCT
ejpam-6517	132	1	these	these	DET
ejpam-6517	132	2	models	model	NOUN
ejpam-6517	132	3	are	be	AUX
ejpam-6517	132	4	useful	useful	ADJ
ejpam-6517	132	5	in	in	ADP
ejpam-6517	132	6	a	a	DET
ejpam-6517	132	7	variety	variety	NOUN
ejpam-6517	132	8	of	of	ADP
ejpam-6517	132	9	epidemiological	epidemiological	ADJ
ejpam-6517	132	10	fields	field	NOUN
ejpam-6517	132	11	and	and	CCONJ
ejpam-6517	132	12	are	be	AUX
ejpam-6517	132	13	essential	essential	ADJ
ejpam-6517	132	14	for	for	ADP
ejpam-6517	132	15	aiding	aid	VERB
ejpam-6517	132	16	public	public	ADJ
ejpam-6517	132	17	health	health	NOUN
ejpam-6517	132	18	planners	planner	NOUN
ejpam-6517	132	19	and	and	CCONJ
ejpam-6517	132	20	policymakers	policymaker	NOUN
ejpam-6517	132	21	in	in	ADP
ejpam-6517	132	22	their	their	PRON
ejpam-6517	132	23	decision	decision	NOUN
ejpam-6517	132	24	-	-	PUNCT
ejpam-6517	132	25	making	make	VERB
ejpam-6517	132	26	processes	process	NOUN
ejpam-6517	132	27	.	.	PUNCT
ejpam-6517	133	1	the	the	DET
ejpam-6517	133	2	underlying	underlie	VERB
ejpam-6517	133	3	evolution	evolution	NOUN
ejpam-6517	133	4	of	of	ADP
ejpam-6517	133	5	infectious	infectious	ADJ
ejpam-6517	133	6	diseases	disease	NOUN
ejpam-6517	133	7	like	like	ADP
ejpam-6517	133	8	measles	measle	NOUN
ejpam-6517	133	9	,	,	PUNCT
ejpam-6517	133	10	transmission	transmission	NOUN
ejpam-6517	133	11	patterns	pattern	NOUN
ejpam-6517	133	12	,	,	PUNCT
ejpam-6517	133	13	and	and	CCONJ
ejpam-6517	133	14	the	the	DET
ejpam-6517	133	15	possible	possible	ADJ
ejpam-6517	133	16	effects	effect	NOUN
ejpam-6517	133	17	of	of	ADP
ejpam-6517	133	18	public	public	ADJ
ejpam-6517	133	19	health	health	NOUN
ejpam-6517	133	20	measures	measure	NOUN
ejpam-6517	133	21	are	be	AUX
ejpam-6517	133	22	all	all	PRON
ejpam-6517	133	23	better	well	ADV
ejpam-6517	133	24	understood	understand	VERB
ejpam-6517	133	25	by	by	ADP
ejpam-6517	133	26	mathematical	mathematical	ADJ
ejpam-6517	133	27	modeling	modeling	NOUN
ejpam-6517	133	28	[	[	X
ejpam-6517	133	29	32	32	NUM
ejpam-6517	133	30	,	,	PUNCT
ejpam-6517	133	31	33	33	NUM
ejpam-6517	133	32	]	]	PUNCT
ejpam-6517	133	33	.	.	PUNCT
ejpam-6517	134	1	in	in	ADP
ejpam-6517	134	2	order	order	NOUN
ejpam-6517	134	3	to	to	PART
ejpam-6517	134	4	assess	assess	VERB
ejpam-6517	134	5	interventions	intervention	NOUN
ejpam-6517	134	6	,	,	PUNCT
ejpam-6517	134	7	plan	plan	NOUN
ejpam-6517	134	8	studies	study	NOUN
ejpam-6517	134	9	,	,	PUNCT
ejpam-6517	134	10	and	and	CCONJ
ejpam-6517	134	11	contain	contain	VERB
ejpam-6517	134	12	epidemic	epidemic	ADJ
ejpam-6517	134	13	outbreaks	outbreak	NOUN
ejpam-6517	134	14	,	,	PUNCT
ejpam-6517	134	15	modeling	modeling	NOUN
ejpam-6517	134	16	has	have	AUX
ejpam-6517	134	17	become	become	VERB
ejpam-6517	134	18	more	more	ADV
ejpam-6517	134	19	and	and	CCONJ
ejpam-6517	134	20	more	more	ADV
ejpam-6517	134	21	important	important	ADJ
ejpam-6517	134	22	.	.	PUNCT
ejpam-6517	135	1	in	in	ADP
ejpam-6517	135	2	addition	addition	NOUN
ejpam-6517	135	3	to	to	ADP
ejpam-6517	135	4	helping	help	VERB
ejpam-6517	135	5	with	with	ADP
ejpam-6517	135	6	the	the	DET
ejpam-6517	135	7	testing	testing	NOUN
ejpam-6517	135	8	and	and	CCONJ
ejpam-6517	135	9	development	development	NOUN
ejpam-6517	135	10	of	of	ADP
ejpam-6517	135	11	important	important	ADJ
ejpam-6517	135	12	theories	theory	NOUN
ejpam-6517	135	13	,	,	PUNCT
ejpam-6517	135	14	epidemiological	epidemiological	ADJ
ejpam-6517	135	15	models	model	NOUN
ejpam-6517	135	16	[	[	X
ejpam-6517	135	17	34	34	NUM
ejpam-6517	135	18	,	,	PUNCT
ejpam-6517	135	19	35	35	NUM
ejpam-6517	135	20	]	]	PUNCT
ejpam-6517	135	21	offer	offer	VERB
ejpam-6517	135	22	a	a	DET
ejpam-6517	135	23	conceptual	conceptual	ADJ
ejpam-6517	135	24	grasp	grasp	NOUN
ejpam-6517	135	25	of	of	ADP
ejpam-6517	135	26	how	how	SCONJ
ejpam-6517	135	27	diseases	disease	NOUN
ejpam-6517	135	28	propagate	propagate	VERB
ejpam-6517	135	29	.	.	PUNCT
ejpam-6517	136	1	these	these	DET
ejpam-6517	136	2	models	model	NOUN
ejpam-6517	136	3	aid	aid	VERB
ejpam-6517	136	4	in	in	ADP
ejpam-6517	136	5	the	the	DET
ejpam-6517	136	6	creation	creation	NOUN
ejpam-6517	136	7	of	of	ADP
ejpam-6517	136	8	hypotheses	hypothesis	NOUN
ejpam-6517	136	9	,	,	PUNCT
ejpam-6517	136	10	the	the	DET
ejpam-6517	136	11	validation	validation	NOUN
ejpam-6517	136	12	of	of	ADP
ejpam-6517	136	13	experimental	experimental	ADJ
ejpam-6517	136	14	designs	design	NOUN
ejpam-6517	136	15	,	,	PUNCT
ejpam-6517	136	16	the	the	DET
ejpam-6517	136	17	interpretation	interpretation	NOUN
ejpam-6517	136	18	of	of	ADP
ejpam-6517	136	19	results	result	NOUN
ejpam-6517	136	20	,	,	PUNCT
ejpam-6517	136	21	the	the	DET
ejpam-6517	136	22	derivation	derivation	NOUN
ejpam-6517	136	23	of	of	ADP
ejpam-6517	136	24	diagnoses	diagnosis	NOUN
ejpam-6517	136	25	from	from	ADP
ejpam-6517	136	26	observable	observable	ADJ
ejpam-6517	136	27	symptoms	symptom	NOUN
ejpam-6517	136	28	and	and	CCONJ
ejpam-6517	136	29	indications	indication	NOUN
ejpam-6517	136	30	,	,	PUNCT
ejpam-6517	136	31	the	the	DET
ejpam-6517	136	32	support	support	NOUN
ejpam-6517	136	33	of	of	ADP
ejpam-6517	136	34	decision	decision	NOUN
ejpam-6517	136	35	-	-	PUNCT
ejpam-6517	136	36	making	making	NOUN
ejpam-6517	136	37	,	,	PUNCT
ejpam-6517	136	38	and	and	CCONJ
ejpam-6517	136	39	the	the	DET
ejpam-6517	136	40	validation	validation	NOUN
ejpam-6517	136	41	of	of	ADP
ejpam-6517	136	42	findings	finding	NOUN
ejpam-6517	136	43	[	[	X
ejpam-6517	136	44	36	36	NUM
ejpam-6517	136	45	]	]	PUNCT
ejpam-6517	136	46	.	.	PUNCT
ejpam-6517	137	1	in	in	ADP
ejpam-6517	137	2	essence	essence	NOUN
ejpam-6517	137	3	,	,	PUNCT
ejpam-6517	137	4	modeling	modeling	NOUN
ejpam-6517	137	5	is	be	AUX
ejpam-6517	137	6	a	a	DET
ejpam-6517	137	7	crucial	crucial	ADJ
ejpam-6517	137	8	statistical	statistical	ADJ
ejpam-6517	137	9	tool	tool	NOUN
ejpam-6517	137	10	in	in	ADP
ejpam-6517	137	11	the	the	DET
ejpam-6517	137	12	continuous	continuous	ADJ
ejpam-6517	137	13	fight	fight	NOUN
ejpam-6517	137	14	against	against	ADP
ejpam-6517	137	15	infectious	infectious	ADJ
ejpam-6517	137	16	illnesses	illness	NOUN
ejpam-6517	137	17	,	,	PUNCT
ejpam-6517	137	18	including	include	VERB
ejpam-6517	137	19	measles	measle	NOUN
ejpam-6517	137	20	.	.	PUNCT
ejpam-6517	138	1	in	in	ADP
ejpam-6517	138	2	order	order	NOUN
ejpam-6517	138	3	to	to	PART
ejpam-6517	138	4	examine	examine	VERB
ejpam-6517	138	5	the	the	DET
ejpam-6517	138	6	variations	variation	NOUN
ejpam-6517	138	7	in	in	ADP
ejpam-6517	138	8	measles	measle	NOUN
ejpam-6517	138	9	transmission	transmission	NOUN
ejpam-6517	138	10	,	,	PUNCT
ejpam-6517	138	11	we	we	PRON
ejpam-6517	138	12	have	have	AUX
ejpam-6517	138	13	developed	develop	VERB
ejpam-6517	138	14	a	a	DET
ejpam-6517	138	15	novel	novel	ADJ
ejpam-6517	138	16	realworld	realworld	PROPN
ejpam-6517	138	17	seitr	seitr	PROPN
ejpam-6517	138	18	model	model	NOUN
ejpam-6517	138	19	in	in	ADP
ejpam-6517	138	20	this	this	DET
ejpam-6517	138	21	study	study	NOUN
ejpam-6517	138	22	.	.	PUNCT
ejpam-6517	139	1	assessing	assess	VERB
ejpam-6517	139	2	the	the	DET
ejpam-6517	139	3	effectiveness	effectiveness	NOUN
ejpam-6517	139	4	of	of	ADP
ejpam-6517	139	5	vaccination	vaccination	NOUN
ejpam-6517	139	6	and	and	CCONJ
ejpam-6517	139	7	treatment	treatment	NOUN
ejpam-6517	139	8	plans	plan	NOUN
ejpam-6517	139	9	in	in	ADP
ejpam-6517	139	10	preventing	prevent	VERB
ejpam-6517	139	11	the	the	DET
ejpam-6517	139	12	spread	spread	NOUN
ejpam-6517	139	13	of	of	ADP
ejpam-6517	139	14	measles	measle	NOUN
ejpam-6517	139	15	,	,	PUNCT
ejpam-6517	139	16	both	both	CCONJ
ejpam-6517	139	17	before	before	ADP
ejpam-6517	139	18	and	and	CCONJ
ejpam-6517	139	19	after	after	ADP
ejpam-6517	139	20	optimization	optimization	NOUN
ejpam-6517	139	21	stages	stage	NOUN
ejpam-6517	139	22	,	,	PUNCT
ejpam-6517	139	23	is	be	AUX
ejpam-6517	139	24	our	our	PRON
ejpam-6517	139	25	main	main	ADJ
ejpam-6517	139	26	goal	goal	NOUN
ejpam-6517	139	27	.	.	PUNCT
ejpam-6517	140	1	it	it	PRON
ejpam-6517	140	2	is	be	AUX
ejpam-6517	140	3	important	important	ADJ
ejpam-6517	140	4	to	to	PART
ejpam-6517	140	5	emphasize	emphasize	VERB
ejpam-6517	140	6	that	that	SCONJ
ejpam-6517	140	7	the	the	DET
ejpam-6517	140	8	foundation	foundation	NOUN
ejpam-6517	140	9	of	of	ADP
ejpam-6517	140	10	our	our	PRON
ejpam-6517	140	11	concept	concept	NOUN
ejpam-6517	140	12	is	be	AUX
ejpam-6517	140	13	the	the	DET
ejpam-6517	140	14	idea	idea	NOUN
ejpam-6517	140	15	that	that	SCONJ
ejpam-6517	140	16	vaccination	vaccination	NOUN
ejpam-6517	140	17	tactics	tactic	NOUN
ejpam-6517	140	18	are	be	AUX
ejpam-6517	140	19	not	not	PART
ejpam-6517	140	20	infallible	infallible	ADJ
ejpam-6517	140	21	.	.	PUNCT
ejpam-6517	141	1	this	this	PRON
ejpam-6517	141	2	indicates	indicate	VERB
ejpam-6517	141	3	that	that	SCONJ
ejpam-6517	141	4	it	it	PRON
ejpam-6517	141	5	takes	take	VERB
ejpam-6517	141	6	into	into	ADP
ejpam-6517	141	7	account	account	NOUN
ejpam-6517	141	8	the	the	DET
ejpam-6517	141	9	chance	chance	NOUN
ejpam-6517	141	10	that	that	SCONJ
ejpam-6517	141	11	individuals	individual	NOUN
ejpam-6517	141	12	may	may	AUX
ejpam-6517	141	13	be	be	AUX
ejpam-6517	141	14	re	re	VERB
ejpam-6517	141	15	-	-	ADJ
ejpam-6517	141	16	susceptible	susceptible	ADJ
ejpam-6517	141	17	throughout	throughout	ADP
ejpam-6517	141	18	the	the	DET
ejpam-6517	141	19	vaccine	vaccine	NOUN
ejpam-6517	141	20	period	period	NOUN
ejpam-6517	141	21	,	,	PUNCT
ejpam-6517	141	22	which	which	PRON
ejpam-6517	141	23	could	could	AUX
ejpam-6517	141	24	result	result	VERB
ejpam-6517	141	25	interesting	interesting	ADJ
ejpam-6517	141	26	dynamic	dynamic	NOUN
ejpam-6517	141	27	.	.	PUNCT
ejpam-6517	142	1	additionally	additionally	ADV
ejpam-6517	142	2	,	,	PUNCT
ejpam-6517	142	3	it	it	PRON
ejpam-6517	142	4	takes	take	VERB
ejpam-6517	142	5	into	into	ADP
ejpam-6517	142	6	consideration	consideration	NOUN
ejpam-6517	142	7	the	the	DET
ejpam-6517	142	8	chance	chance	NOUN
ejpam-6517	142	9	that	that	SCONJ
ejpam-6517	142	10	some	some	DET
ejpam-6517	142	11	people	people	NOUN
ejpam-6517	142	12	may	may	AUX
ejpam-6517	142	13	end	end	VERB
ejpam-6517	142	14	up	up	ADP
ejpam-6517	142	15	healthy	healthy	ADJ
ejpam-6517	142	16	and	and	CCONJ
ejpam-6517	142	17	unaffected	unaffected	ADJ
ejpam-6517	142	18	before	before	ADP
ejpam-6517	142	19	treatment	treatment	NOUN
ejpam-6517	142	20	.	.	PUNCT
ejpam-6517	143	1	our	our	PRON
ejpam-6517	143	2	research	research	NOUN
ejpam-6517	143	3	enables	enable	VERB
ejpam-6517	143	4	us	we	PRON
ejpam-6517	143	5	to	to	PART
ejpam-6517	143	6	investigate	investigate	VERB
ejpam-6517	143	7	the	the	DET
ejpam-6517	143	8	effects	effect	NOUN
ejpam-6517	143	9	of	of	ADP
ejpam-6517	143	10	treatment	treatment	NOUN
ejpam-6517	143	11	and	and	CCONJ
ejpam-6517	143	12	immunization	immunization	NOUN
ejpam-6517	143	13	plans	plan	NOUN
ejpam-6517	143	14	in	in	ADP
ejpam-6517	143	15	real	real	ADJ
ejpam-6517	143	16	-	-	PUNCT
ejpam-6517	143	17	world	world	NOUN
ejpam-6517	143	18	scenarios	scenario	NOUN
ejpam-6517	143	19	,	,	PUNCT
ejpam-6517	143	20	when	when	SCONJ
ejpam-6517	143	21	it	it	PRON
ejpam-6517	143	22	might	might	AUX
ejpam-6517	143	23	not	not	PART
ejpam-6517	143	24	be	be	AUX
ejpam-6517	143	25	possible	possible	ADJ
ejpam-6517	143	26	to	to	PART
ejpam-6517	143	27	achieve	achieve	VERB
ejpam-6517	143	28	100	100	NUM
ejpam-6517	143	29	%	%	NOUN
ejpam-6517	143	30	vaccine	vaccine	NOUN
ejpam-6517	143	31	coverage	coverage	NOUN
ejpam-6517	143	32	.	.	PUNCT
ejpam-6517	144	1	we	we	PRON
ejpam-6517	144	2	believe	believe	VERB
ejpam-6517	144	3	that	that	SCONJ
ejpam-6517	144	4	our	our	PRON
ejpam-6517	144	5	research	research	NOUN
ejpam-6517	144	6	will	will	AUX
ejpam-6517	144	7	greatly	greatly	ADV
ejpam-6517	144	8	advance	advance	VERB
ejpam-6517	144	9	our	our	PRON
ejpam-6517	144	10	knowledge	knowledge	NOUN
ejpam-6517	144	11	of	of	ADP
ejpam-6517	144	12	practical	practical	ADJ
ejpam-6517	144	13	strategies	strategy	NOUN
ejpam-6517	144	14	for	for	ADP
ejpam-6517	144	15	halting	halt	VERB
ejpam-6517	144	16	the	the	DET
ejpam-6517	144	17	spread	spread	NOUN
ejpam-6517	144	18	of	of	ADP
ejpam-6517	144	19	measles	measle	NOUN
ejpam-6517	144	20	.	.	PUNCT
ejpam-6517	145	1	all	all	DET
ejpam-6517	145	2	things	thing	NOUN
ejpam-6517	145	3	considered	consider	VERB
ejpam-6517	145	4	,	,	PUNCT
ejpam-6517	145	5	our	our	PRON
ejpam-6517	145	6	research	research	NOUN
ejpam-6517	145	7	tackles	tackle	VERB
ejpam-6517	145	8	a	a	DET
ejpam-6517	145	9	significant	significant	ADJ
ejpam-6517	145	10	public	public	ADJ
ejpam-6517	145	11	health	health	NOUN
ejpam-6517	145	12	issue	issue	NOUN
ejpam-6517	145	13	and	and	CCONJ
ejpam-6517	145	14	seeks	seek	VERB
ejpam-6517	145	15	to	to	PART
ejpam-6517	145	16	offer	offer	VERB
ejpam-6517	145	17	insightful	insightful	ADJ
ejpam-6517	145	18	information	information	NOUN
ejpam-6517	145	19	about	about	ADP
ejpam-6517	145	20	the	the	DET
ejpam-6517	145	21	mechanisms	mechanism	NOUN
ejpam-6517	145	22	of	of	ADP
ejpam-6517	145	23	measles	measle	NOUN
ejpam-6517	145	24	spread	spread	VERB
ejpam-6517	145	25	and	and	CCONJ
ejpam-6517	145	26	the	the	DET
ejpam-6517	145	27	efficacy	efficacy	NOUN
ejpam-6517	145	28	of	of	ADP
ejpam-6517	145	29	intervention	intervention	NOUN
ejpam-6517	145	30	techniques	technique	NOUN
ejpam-6517	145	31	in	in	ADP
ejpam-6517	145	32	practical	practical	ADJ
ejpam-6517	145	33	settings	setting	NOUN
ejpam-6517	145	34	.	.	PUNCT
ejpam-6517	146	1	there	there	PRON
ejpam-6517	146	2	are	be	VERB
ejpam-6517	146	3	six	six	NUM
ejpam-6517	146	4	different	different	ADJ
ejpam-6517	146	5	compartments	compartment	NOUN
ejpam-6517	146	6	for	for	ADP
ejpam-6517	146	7	the	the	DET
ejpam-6517	146	8	entire	entire	ADJ
ejpam-6517	146	9	population	population	NOUN
ejpam-6517	146	10	,	,	PUNCT
ejpam-6517	146	11	denoted	denote	VERB
ejpam-6517	146	12	by	by	ADP
ejpam-6517	146	13	m(t	m(t	PROPN
ejpam-6517	146	14	)	)	PUNCT
ejpam-6517	146	15	.	.	PUNCT
ejpam-6517	147	1	a	a	DET
ejpam-6517	147	2	healthy	healthy	ADJ
ejpam-6517	147	3	individual	individual	NOUN
ejpam-6517	147	4	who	who	PRON
ejpam-6517	147	5	runs	run	VERB
ejpam-6517	147	6	the	the	DET
ejpam-6517	147	7	danger	danger	NOUN
ejpam-6517	147	8	of	of	ADP
ejpam-6517	147	9	getting	get	VERB
ejpam-6517	147	10	sick	sick	ADJ
ejpam-6517	147	11	after	after	ADP
ejpam-6517	147	12	coming	come	VERB
ejpam-6517	147	13	into	into	ADP
ejpam-6517	147	14	contact	contact	NOUN
ejpam-6517	147	15	with	with	ADP
ejpam-6517	147	16	an	an	DET
ejpam-6517	147	17	infected	infected	ADJ
ejpam-6517	147	18	person	person	NOUN
ejpam-6517	147	19	is	be	AUX
ejpam-6517	147	20	said	say	VERB
ejpam-6517	147	21	to	to	PART
ejpam-6517	147	22	be	be	AUX
ejpam-6517	147	23	susceptible	susceptible	ADJ
ejpam-6517	147	24	s(t	s(t	PROPN
ejpam-6517	147	25	)	)	PUNCT
ejpam-6517	147	26	represents	represent	VERB
ejpam-6517	147	27	the	the	DET
ejpam-6517	147	28	first	first	ADJ
ejpam-6517	147	29	class	class	NOUN
ejpam-6517	147	30	.	.	PUNCT
ejpam-6517	148	1	the	the	DET
ejpam-6517	148	2	second	second	ADJ
ejpam-6517	148	3	class	class	NOUN
ejpam-6517	148	4	,	,	PUNCT
ejpam-6517	148	5	known	know	VERB
ejpam-6517	148	6	as	as	ADP
ejpam-6517	148	7	the	the	DET
ejpam-6517	148	8	vaccinated	vaccinated	ADJ
ejpam-6517	148	9	class	class	NOUN
ejpam-6517	148	10	or	or	CCONJ
ejpam-6517	148	11	v(t	v(t	NOUN
ejpam-6517	148	12	)	)	PUNCT
ejpam-6517	148	13	,	,	PUNCT
ejpam-6517	148	14	is	be	AUX
ejpam-6517	148	15	made	make	VERB
ejpam-6517	148	16	up	up	ADP
ejpam-6517	148	17	of	of	ADP
ejpam-6517	148	18	healthy	healthy	ADJ
ejpam-6517	148	19	people	people	NOUN
ejpam-6517	148	20	who	who	PRON
ejpam-6517	148	21	have	have	AUX
ejpam-6517	148	22	been	be	AUX
ejpam-6517	148	23	vaccinated	vaccinate	VERB
ejpam-6517	148	24	to	to	PART
ejpam-6517	148	25	lessen	lessen	VERB
ejpam-6517	148	26	their	their	PRON
ejpam-6517	148	27	vulnerability	vulnerability	NOUN
ejpam-6517	148	28	to	to	ADP
ejpam-6517	148	29	the	the	DET
ejpam-6517	148	30	illness	illness	NOUN
ejpam-6517	148	31	.	.	PUNCT
ejpam-6517	149	1	the	the	DET
ejpam-6517	149	2	next	next	ADJ
ejpam-6517	149	3	compartment	compartment	NOUN
ejpam-6517	149	4	,	,	PUNCT
ejpam-6517	149	5	known	know	VERB
ejpam-6517	149	6	as	as	ADP
ejpam-6517	149	7	the	the	DET
ejpam-6517	149	8	exposed	expose	VERB
ejpam-6517	149	9	class	class	NOUN
ejpam-6517	149	10	and	and	CCONJ
ejpam-6517	149	11	represented	represent	VERB
ejpam-6517	149	12	by	by	ADP
ejpam-6517	149	13	e(t	e(t	PROPN
ejpam-6517	149	14	)	)	PUNCT
ejpam-6517	149	15	,	,	PUNCT
ejpam-6517	149	16	is	be	AUX
ejpam-6517	149	17	made	make	VERB
ejpam-6517	149	18	up	up	ADP
ejpam-6517	149	19	of	of	ADP
ejpam-6517	149	20	exposed	expose	VERB
ejpam-6517	149	21	people	people	NOUN
ejpam-6517	149	22	.	.	PUNCT
ejpam-6517	150	1	the	the	DET
ejpam-6517	150	2	exposed	expose	VERB
ejpam-6517	150	3	persons	person	NOUN
ejpam-6517	150	4	are	be	AUX
ejpam-6517	150	5	those	those	PRON
ejpam-6517	150	6	who	who	PRON
ejpam-6517	150	7	are	be	AUX
ejpam-6517	150	8	infected	infect	VERB
ejpam-6517	150	9	and	and	CCONJ
ejpam-6517	150	10	,	,	PUNCT
ejpam-6517	150	11	while	while	SCONJ
ejpam-6517	150	12	they	they	PRON
ejpam-6517	150	13	may	may	AUX
ejpam-6517	150	14	or	or	CCONJ
ejpam-6517	150	15	may	may	AUX
ejpam-6517	150	16	not	not	PART
ejpam-6517	150	17	exhibit	exhibit	VERB
ejpam-6517	150	18	symptoms	symptom	NOUN
ejpam-6517	150	19	,	,	PUNCT
ejpam-6517	150	20	are	be	AUX
ejpam-6517	150	21	unable	unable	ADJ
ejpam-6517	150	22	to	to	PART
ejpam-6517	150	23	transmit	transmit	VERB
ejpam-6517	150	24	others	other	NOUN
ejpam-6517	150	25	.	.	PUNCT
ejpam-6517	151	1	people	people	NOUN
ejpam-6517	151	2	who	who	PRON
ejpam-6517	151	3	are	be	AUX
ejpam-6517	151	4	at	at	ADP
ejpam-6517	151	5	present	present	ADJ
ejpam-6517	151	6	infectious	infectious	ADJ
ejpam-6517	151	7	and	and	CCONJ
ejpam-6517	151	8	able	able	ADJ
ejpam-6517	151	9	to	to	PART
ejpam-6517	151	10	infect	infect	VERB
ejpam-6517	151	11	others	other	NOUN
ejpam-6517	151	12	are	be	AUX
ejpam-6517	151	13	included	include	VERB
ejpam-6517	151	14	in	in	ADP
ejpam-6517	151	15	the	the	DET
ejpam-6517	151	16	fourth	fourth	ADJ
ejpam-6517	151	17	class	class	NOUN
ejpam-6517	151	18	,	,	PUNCT
ejpam-6517	151	19	denoted	denote	VERB
ejpam-6517	151	20	by	by	ADP
ejpam-6517	151	21	i(t	i(t	NOUN
ejpam-6517	151	22	)	)	PUNCT
ejpam-6517	151	23	,	,	PUNCT
ejpam-6517	151	24	sometimes	sometimes	ADV
ejpam-6517	151	25	known	know	VERB
ejpam-6517	151	26	as	as	ADP
ejpam-6517	151	27	the	the	DET
ejpam-6517	151	28	infected	infected	ADJ
ejpam-6517	151	29	class	class	NOUN
ejpam-6517	151	30	.	.	PUNCT
ejpam-6517	152	1	those	those	PRON
ejpam-6517	152	2	receiving	receive	VERB
ejpam-6517	152	3	medical	medical	ADJ
ejpam-6517	152	4	treatment	treatment	NOUN
ejpam-6517	152	5	are	be	AUX
ejpam-6517	152	6	included	include	VERB
ejpam-6517	152	7	in	in	ADP
ejpam-6517	152	8	the	the	DET
ejpam-6517	152	9	fifth	fifth	ADJ
ejpam-6517	152	10	class	class	NOUN
ejpam-6517	152	11	,	,	PUNCT
ejpam-6517	152	12	represented	represent	VERB
ejpam-6517	152	13	by	by	ADP
ejpam-6517	152	14	t(t	t(t	NOUN
ejpam-6517	152	15	)	)	PUNCT
ejpam-6517	152	16	,	,	PUNCT
ejpam-6517	152	17	which	which	PRON
ejpam-6517	152	18	is	be	AUX
ejpam-6517	152	19	referred	refer	VERB
ejpam-6517	152	20	to	to	ADP
ejpam-6517	152	21	as	as	ADP
ejpam-6517	152	22	the	the	DET
ejpam-6517	152	23	treatment	treatment	NOUN
ejpam-6517	152	24	class	class	NOUN
ejpam-6517	152	25	.	.	PUNCT
ejpam-6517	153	1	lastly	lastly	ADV
ejpam-6517	153	2	,	,	PUNCT
ejpam-6517	153	3	the	the	DET
ejpam-6517	153	4	sixth	sixth	ADJ
ejpam-6517	153	5	group	group	NOUN
ejpam-6517	153	6	,	,	PUNCT
ejpam-6517	153	7	designated	designate	VERB
ejpam-6517	153	8	r(t	r(t	NOUN
ejpam-6517	153	9	)	)	PUNCT
ejpam-6517	153	10	,	,	PUNCT
ejpam-6517	153	11	also	also	ADV
ejpam-6517	153	12	known	know	VERB
ejpam-6517	153	13	as	as	ADP
ejpam-6517	153	14	the	the	DET
ejpam-6517	153	15	recovered	recovered	ADJ
ejpam-6517	153	16	class	class	NOUN
ejpam-6517	153	17	,	,	PUNCT
ejpam-6517	153	18	is	be	AUX
ejpam-6517	153	19	made	make	VERB
ejpam-6517	153	20	up	up	ADP
ejpam-6517	153	21	m.	m.	NOUN
ejpam-6517	153	22	mohiudin	mohiudin	PROPN
ejpam-6517	153	23	et	et	PROPN
ejpam-6517	153	24	al	al	PROPN
ejpam-6517	153	25	.	.	PUNCT
ejpam-6517	153	26	/	/	SYM
ejpam-6517	153	27	eur	eur	PROPN
ejpam-6517	153	28	.	.	PUNCT
ejpam-6517	154	1	j.	j.	PROPN
ejpam-6517	154	2	pure	pure	PROPN
ejpam-6517	154	3	appl	appl	PROPN
ejpam-6517	154	4	.	.	PROPN
ejpam-6517	154	5	math	math	PROPN
ejpam-6517	154	6	,	,	PUNCT
ejpam-6517	154	7	18	18	NUM
ejpam-6517	154	8	(	(	PUNCT
ejpam-6517	154	9	3	3	NUM
ejpam-6517	154	10	)	)	PUNCT
ejpam-6517	154	11	(	(	PUNCT
ejpam-6517	154	12	2025	2025	NUM
ejpam-6517	154	13	)	)	PUNCT
ejpam-6517	154	14	,	,	PUNCT
ejpam-6517	154	15	6517	6517	NUM
ejpam-6517	154	16	7	7	NUM
ejpam-6517	154	17	of	of	ADP
ejpam-6517	154	18	40	40	NUM
ejpam-6517	154	19	of	of	ADP
ejpam-6517	154	20	people	people	NOUN
ejpam-6517	154	21	who	who	PRON
ejpam-6517	154	22	have	have	AUX
ejpam-6517	154	23	been	be	AUX
ejpam-6517	154	24	cured	cure	VERB
ejpam-6517	154	25	of	of	ADP
ejpam-6517	154	26	the	the	DET
ejpam-6517	154	27	illness	illness	NOUN
ejpam-6517	154	28	by	by	ADP
ejpam-6517	154	29	therapy	therapy	NOUN
ejpam-6517	154	30	or	or	CCONJ
ejpam-6517	154	31	vaccination	vaccination	NOUN
ejpam-6517	154	32	and	and	CCONJ
ejpam-6517	154	33	are	be	AUX
ejpam-6517	154	34	unable	unable	ADJ
ejpam-6517	154	35	to	to	PART
ejpam-6517	154	36	contract	contract	VERB
ejpam-6517	154	37	it	it	PRON
ejpam-6517	154	38	again	again	ADV
ejpam-6517	154	39	.	.	PUNCT
ejpam-6517	155	1	the	the	DET
ejpam-6517	155	2	total	total	ADJ
ejpam-6517	155	3	population	population	NOUN
ejpam-6517	155	4	is	be	AUX
ejpam-6517	155	5	taken	take	VERB
ejpam-6517	155	6	as	as	ADP
ejpam-6517	155	7	m(t	m(t	NOUN
ejpam-6517	155	8	)	)	PUNCT
ejpam-6517	155	9	=	=	SYM
ejpam-6517	155	10	s(t	s(t	PROPN
ejpam-6517	155	11	)	)	PUNCT
ejpam-6517	156	1	+	+	CCONJ
ejpam-6517	156	2	v(t	v(t	VERB
ejpam-6517	156	3	)	)	PUNCT
ejpam-6517	156	4	+	+	SYM
ejpam-6517	156	5	e(t	e(t	NOUN
ejpam-6517	156	6	)	)	PUNCT
ejpam-6517	156	7	+	+	CCONJ
ejpam-6517	156	8	i(t	i(t	NOUN
ejpam-6517	156	9	)	)	PUNCT
ejpam-6517	156	10	+	+	NUM
ejpam-6517	156	11	t(t	t(t	NOUN
ejpam-6517	156	12	)	)	PUNCT
ejpam-6517	156	13	+	+	NUM
ejpam-6517	156	14	r(t	r(t	NOUN
ejpam-6517	156	15	)	)	PUNCT
ejpam-6517	156	16	.	.	PUNCT
ejpam-6517	157	1	new	new	ADJ
ejpam-6517	157	2	people	people	NOUN
ejpam-6517	157	3	joining	join	VERB
ejpam-6517	157	4	the	the	DET
ejpam-6517	157	5	susceptible	susceptible	ADJ
ejpam-6517	157	6	class	class	NOUN
ejpam-6517	157	7	is	be	AUX
ejpam-6517	157	8	happening	happen	VERB
ejpam-6517	157	9	at	at	ADP
ejpam-6517	157	10	b	b	NOUN
ejpam-6517	157	11	rate	rate	NOUN
ejpam-6517	157	12	.	.	PUNCT
ejpam-6517	158	1	a	a	DET
ejpam-6517	158	2	common	common	ADJ
ejpam-6517	158	3	approach	approach	NOUN
ejpam-6517	158	4	to	to	PART
ejpam-6517	158	5	depict	depict	VERB
ejpam-6517	158	6	the	the	DET
ejpam-6517	158	7	frequency	frequency	NOUN
ejpam-6517	158	8	of	of	ADP
ejpam-6517	158	9	infection	infection	NOUN
ejpam-6517	158	10	spread	spread	VERB
ejpam-6517	158	11	from	from	ADP
ejpam-6517	158	12	susceptible	susceptible	ADJ
ejpam-6517	158	13	to	to	ADP
ejpam-6517	158	14	people	people	NOUN
ejpam-6517	158	15	who	who	PRON
ejpam-6517	158	16	are	be	AUX
ejpam-6517	158	17	exposed	expose	VERB
ejpam-6517	158	18	due	due	ADP
ejpam-6517	158	19	to	to	ADP
ejpam-6517	158	20	interaction	interaction	NOUN
ejpam-6517	158	21	with	with	ADP
ejpam-6517	158	22	infected	infected	ADJ
ejpam-6517	158	23	individuals	individual	NOUN
ejpam-6517	158	24	is	be	AUX
ejpam-6517	158	25	to	to	PART
ejpam-6517	158	26	use	use	VERB
ejpam-6517	158	27	the	the	DET
ejpam-6517	158	28	strength	strength	NOUN
ejpam-6517	158	29	of	of	ADP
ejpam-6517	158	30	disease	disease	NOUN
ejpam-6517	158	31	,	,	PUNCT
ejpam-6517	158	32	which	which	PRON
ejpam-6517	158	33	is	be	AUX
ejpam-6517	158	34	represented	represent	VERB
ejpam-6517	158	35	by	by	ADP
ejpam-6517	158	36	the	the	DET
ejpam-6517	158	37	symbol	symbol	NOUN
ejpam-6517	158	38	k.	k.	PROPN
ejpam-6517	159	1	in	in	ADP
ejpam-6517	159	2	essence	essence	NOUN
ejpam-6517	159	3	,	,	PUNCT
ejpam-6517	159	4	it	it	PRON
ejpam-6517	159	5	is	be	AUX
ejpam-6517	159	6	a	a	DET
ejpam-6517	159	7	measurement	measurement	NOUN
ejpam-6517	159	8	of	of	ADP
ejpam-6517	159	9	the	the	DET
ejpam-6517	159	10	likelihood	likelihood	NOUN
ejpam-6517	159	11	of	of	ADP
ejpam-6517	159	12	transmission	transmission	NOUN
ejpam-6517	159	13	for	for	ADP
ejpam-6517	159	14	each	each	DET
ejpam-6517	159	15	interaction	interaction	NOUN
ejpam-6517	159	16	between	between	ADP
ejpam-6517	159	17	an	an	DET
ejpam-6517	159	18	infectious	infectious	ADJ
ejpam-6517	159	19	person	person	NOUN
ejpam-6517	159	20	and	and	CCONJ
ejpam-6517	159	21	a	a	DET
ejpam-6517	159	22	susceptible	susceptible	ADJ
ejpam-6517	159	23	person	person	NOUN
ejpam-6517	159	24	.	.	PUNCT
ejpam-6517	160	1	the	the	DET
ejpam-6517	160	2	frequency	frequency	NOUN
ejpam-6517	160	3	with	with	ADP
ejpam-6517	160	4	which	which	PRON
ejpam-6517	160	5	susceptible	susceptible	ADJ
ejpam-6517	160	6	people	people	NOUN
ejpam-6517	160	7	are	be	AUX
ejpam-6517	160	8	immunized	immunize	VERB
ejpam-6517	160	9	to	to	PART
ejpam-6517	160	10	develop	develop	VERB
ejpam-6517	160	11	disease	disease	NOUN
ejpam-6517	160	12	immunity	immunity	NOUN
ejpam-6517	160	13	is	be	AUX
ejpam-6517	160	14	indicated	indicate	VERB
ejpam-6517	160	15	by	by	ADP
ejpam-6517	160	16	the	the	DET
ejpam-6517	160	17	metric	metric	PROPN
ejpam-6517	160	18	c2	c2	PROPN
ejpam-6517	160	19	.	.	PUNCT
ejpam-6517	161	1	the	the	DET
ejpam-6517	161	2	µ0	µ0	NOUN
ejpam-6517	161	3	represents	represent	VERB
ejpam-6517	161	4	the	the	DET
ejpam-6517	161	5	intrinsic	intrinsic	ADJ
ejpam-6517	161	6	rate	rate	NOUN
ejpam-6517	161	7	of	of	ADP
ejpam-6517	161	8	death	death	NOUN
ejpam-6517	161	9	in	in	ADP
ejpam-6517	161	10	the	the	DET
ejpam-6517	161	11	susceptible	susceptible	ADJ
ejpam-6517	161	12	group	group	NOUN
ejpam-6517	161	13	,	,	PUNCT
ejpam-6517	161	14	while	while	SCONJ
ejpam-6517	161	15	c1	c1	PROPN
ejpam-6517	161	16	are	be	AUX
ejpam-6517	161	17	re	re	ADJ
ejpam-6517	161	18	-	-	ADJ
ejpam-6517	161	19	susceptible	susceptible	ADJ
ejpam-6517	161	20	rate	rate	NOUN
ejpam-6517	161	21	.	.	PUNCT
ejpam-6517	162	1	thus	thus	ADV
ejpam-6517	162	2	,	,	PUNCT
ejpam-6517	162	3	the	the	DET
ejpam-6517	162	4	overall	overall	ADJ
ejpam-6517	162	5	pace	pace	NOUN
ejpam-6517	162	6	of	of	ADP
ejpam-6517	162	7	transformation	transformation	NOUN
ejpam-6517	162	8	of	of	ADP
ejpam-6517	162	9	those	those	PRON
ejpam-6517	162	10	who	who	PRON
ejpam-6517	162	11	are	be	AUX
ejpam-6517	162	12	most	most	ADV
ejpam-6517	162	13	susceptible	susceptible	ADJ
ejpam-6517	162	14	can	can	AUX
ejpam-6517	162	15	be	be	AUX
ejpam-6517	162	16	expressed	express	VERB
ejpam-6517	162	17	as	as	ADP
ejpam-6517	162	18	ds(t	ds(t	NOUN
ejpam-6517	162	19	)	)	PUNCT
ejpam-6517	162	20	dt	dt	NOUN
ejpam-6517	163	1	=	=	NUM
ejpam-6517	163	2	b+	b+	X
ejpam-6517	163	3	c1v−	c1v−	VERB
ejpam-6517	163	4	ksi	ksi	PROPN
ejpam-6517	163	5	m	m	PROPN
ejpam-6517	163	6	−	−	PROPN
ejpam-6517	164	1	(	(	PUNCT
ejpam-6517	164	2	c2	c2	PROPN
ejpam-6517	164	3	+	+	CCONJ
ejpam-6517	164	4	µ0)s	µ0)s	ADJ
ejpam-6517	164	5	.	.	PUNCT
ejpam-6517	165	1	vaccinated	vaccinated	ADJ
ejpam-6517	165	2	people	people	NOUN
ejpam-6517	165	3	may	may	AUX
ejpam-6517	165	4	become	become	VERB
ejpam-6517	165	5	susceptible	susceptible	ADJ
ejpam-6517	165	6	because	because	SCONJ
ejpam-6517	165	7	of	of	ADP
ejpam-6517	165	8	their	their	PRON
ejpam-6517	165	9	compromised	compromise	VERB
ejpam-6517	165	10	immunity	immunity	NOUN
ejpam-6517	165	11	or	or	CCONJ
ejpam-6517	165	12	other	other	ADJ
ejpam-6517	165	13	reasons	reason	NOUN
ejpam-6517	165	14	,	,	PUNCT
ejpam-6517	165	15	and	and	CCONJ
ejpam-6517	165	16	they	they	PRON
ejpam-6517	165	17	will	will	AUX
ejpam-6517	165	18	then	then	ADV
ejpam-6517	165	19	move	move	VERB
ejpam-6517	165	20	to	to	ADP
ejpam-6517	165	21	the	the	DET
ejpam-6517	165	22	exposed	expose	VERB
ejpam-6517	165	23	compartment	compartment	NOUN
ejpam-6517	165	24	e(t	e(t	NOUN
ejpam-6517	165	25	)	)	PUNCT
ejpam-6517	165	26	at	at	ADP
ejpam-6517	165	27	the	the	DET
ejpam-6517	165	28	amount	amount	NOUN
ejpam-6517	165	29	represented	represent	VERB
ejpam-6517	165	30	by	by	ADP
ejpam-6517	165	31	c1	c1	PROPN
ejpam-6517	165	32	.	.	PUNCT
ejpam-6517	166	1	recruitment	recruitment	NOUN
ejpam-6517	166	2	of	of	ADP
ejpam-6517	166	3	new	new	ADJ
ejpam-6517	166	4	individuals	individual	NOUN
ejpam-6517	166	5	from	from	ADP
ejpam-6517	166	6	the	the	DET
ejpam-6517	166	7	susceptible	susceptible	ADJ
ejpam-6517	166	8	compartment	compartment	NOUN
ejpam-6517	166	9	s(t	s(t	NOUN
ejpam-6517	166	10	)	)	PUNCT
ejpam-6517	166	11	to	to	ADP
ejpam-6517	166	12	the	the	DET
ejpam-6517	166	13	vaccinated	vaccinated	ADJ
ejpam-6517	166	14	class	class	NOUN
ejpam-6517	166	15	occurs	occur	VERB
ejpam-6517	166	16	at	at	ADP
ejpam-6517	166	17	a	a	DET
ejpam-6517	166	18	rate	rate	NOUN
ejpam-6517	166	19	of	of	ADP
ejpam-6517	166	20	c2	c2	PROPN
ejpam-6517	166	21	.	.	PUNCT
ejpam-6517	167	1	µ0	µ0	NOUN
ejpam-6517	167	2	is	be	AUX
ejpam-6517	167	3	a	a	DET
ejpam-6517	167	4	representation	representation	NOUN
ejpam-6517	167	5	of	of	ADP
ejpam-6517	167	6	the	the	DET
ejpam-6517	167	7	vaccination	vaccination	NOUN
ejpam-6517	167	8	compartment	compartment	NOUN
ejpam-6517	167	9	natural	natural	ADJ
ejpam-6517	167	10	mortality	mortality	NOUN
ejpam-6517	167	11	rate	rate	NOUN
ejpam-6517	167	12	.	.	PUNCT
ejpam-6517	168	1	the	the	DET
ejpam-6517	168	2	following	follow	VERB
ejpam-6517	168	3	is	be	AUX
ejpam-6517	168	4	the	the	DET
ejpam-6517	168	5	net	net	ADJ
ejpam-6517	168	6	rate	rate	NOUN
ejpam-6517	168	7	of	of	ADP
ejpam-6517	168	8	change	change	NOUN
ejpam-6517	168	9	for	for	ADP
ejpam-6517	168	10	those	those	PRON
ejpam-6517	168	11	who	who	PRON
ejpam-6517	168	12	have	have	AUX
ejpam-6517	168	13	received	receive	VERB
ejpam-6517	168	14	vaccinations	vaccination	NOUN
ejpam-6517	168	15	,	,	PUNCT
ejpam-6517	168	16	dv(t	dv(t	NOUN
ejpam-6517	168	17	)	)	PUNCT
ejpam-6517	168	18	dt	dt	NOUN
ejpam-6517	169	1	=	=	PUNCT
ejpam-6517	169	2	c2s−	c2s−	PROPN
ejpam-6517	169	3	(	(	PUNCT
ejpam-6517	169	4	c1	c1	PROPN
ejpam-6517	169	5	+	+	CCONJ
ejpam-6517	169	6	µ0)v	µ0)v	NOUN
ejpam-6517	169	7	.	.	PUNCT
ejpam-6517	170	1	k	k	PROPN
ejpam-6517	170	2	represent	represent	VERB
ejpam-6517	170	3	the	the	DET
ejpam-6517	170	4	susceptible	susceptible	ADJ
ejpam-6517	170	5	compartment	compartment	NOUN
ejpam-6517	170	6	contribute	contribute	VERB
ejpam-6517	170	7	additional	additional	ADJ
ejpam-6517	170	8	members	member	NOUN
ejpam-6517	170	9	to	to	ADP
ejpam-6517	170	10	the	the	DET
ejpam-6517	170	11	compartment	compartment	NOUN
ejpam-6517	170	12	of	of	ADP
ejpam-6517	170	13	exposed	expose	VERB
ejpam-6517	170	14	individuals	individual	NOUN
ejpam-6517	170	15	.	.	PUNCT
ejpam-6517	171	1	α	α	PROPN
ejpam-6517	171	2	shows	show	VERB
ejpam-6517	171	3	the	the	DET
ejpam-6517	171	4	pace	pace	NOUN
ejpam-6517	171	5	at	at	ADP
ejpam-6517	171	6	which	which	PRON
ejpam-6517	171	7	members	member	NOUN
ejpam-6517	171	8	of	of	ADP
ejpam-6517	171	9	this	this	DET
ejpam-6517	171	10	exposed	expose	VERB
ejpam-6517	171	11	compartment	compartment	NOUN
ejpam-6517	171	12	migrate	migrate	NOUN
ejpam-6517	171	13	to	to	ADP
ejpam-6517	171	14	the	the	DET
ejpam-6517	171	15	infected	infected	ADJ
ejpam-6517	171	16	compartment	compartment	NOUN
ejpam-6517	171	17	.	.	PUNCT
ejpam-6517	172	1	r1	r1	PROPN
ejpam-6517	172	2	is	be	AUX
ejpam-6517	172	3	the	the	DET
ejpam-6517	172	4	recovering	recover	VERB
ejpam-6517	172	5	rate	rate	NOUN
ejpam-6517	172	6	for	for	ADP
ejpam-6517	172	7	people	people	NOUN
ejpam-6517	172	8	in	in	ADP
ejpam-6517	172	9	the	the	DET
ejpam-6517	172	10	exposed	expose	VERB
ejpam-6517	172	11	compartment	compartment	NOUN
ejpam-6517	172	12	.	.	PUNCT
ejpam-6517	173	1	additionally	additionally	ADV
ejpam-6517	173	2	,	,	PUNCT
ejpam-6517	173	3	the	the	DET
ejpam-6517	173	4	rate	rate	NOUN
ejpam-6517	173	5	µ0	µ0	NOUN
ejpam-6517	173	6	indicates	indicate	VERB
ejpam-6517	173	7	a	a	DET
ejpam-6517	173	8	departure	departure	NOUN
ejpam-6517	173	9	from	from	ADP
ejpam-6517	173	10	the	the	DET
ejpam-6517	173	11	exposed	expose	VERB
ejpam-6517	173	12	compartment	compartment	NOUN
ejpam-6517	173	13	because	because	SCONJ
ejpam-6517	173	14	of	of	ADP
ejpam-6517	173	15	natural	natural	ADJ
ejpam-6517	173	16	death	death	NOUN
ejpam-6517	173	17	.	.	PUNCT
ejpam-6517	174	1	the	the	DET
ejpam-6517	174	2	usual	usual	ADJ
ejpam-6517	174	3	differential	differential	NOUN
ejpam-6517	174	4	equation	equation	NOUN
ejpam-6517	174	5	describes	describe	VERB
ejpam-6517	174	6	the	the	DET
ejpam-6517	174	7	total	total	ADJ
ejpam-6517	174	8	change	change	NOUN
ejpam-6517	174	9	in	in	ADP
ejpam-6517	174	10	the	the	DET
ejpam-6517	174	11	number	number	NOUN
ejpam-6517	174	12	of	of	ADP
ejpam-6517	174	13	people	people	NOUN
ejpam-6517	174	14	in	in	ADP
ejpam-6517	174	15	the	the	DET
ejpam-6517	174	16	exposed	expose	VERB
ejpam-6517	174	17	group	group	NOUN
ejpam-6517	174	18	as	as	ADP
ejpam-6517	174	19	,	,	PUNCT
ejpam-6517	174	20	de(t	de(t	NUM
ejpam-6517	174	21	)	)	PUNCT
ejpam-6517	174	22	dt	dt	NOUN
ejpam-6517	175	1	=	=	PUNCT
ejpam-6517	175	2	ksi	ksi	PROPN
ejpam-6517	175	3	m	m	PROPN
ejpam-6517	175	4	−	−	PROPN
ejpam-6517	175	5	(	(	PUNCT
ejpam-6517	175	6	α+	α+	PUNCT
ejpam-6517	175	7	r1	r1	PROPN
ejpam-6517	175	8	+	+	CCONJ
ejpam-6517	175	9	µ0)e	µ0)e	NOUN
ejpam-6517	175	10	.	.	PUNCT
ejpam-6517	176	1	at	at	ADP
ejpam-6517	176	2	a	a	DET
ejpam-6517	176	3	rate	rate	NOUN
ejpam-6517	176	4	of	of	ADP
ejpam-6517	176	5	α	α	NOUN
ejpam-6517	176	6	,	,	PUNCT
ejpam-6517	176	7	new	new	ADJ
ejpam-6517	176	8	members	member	NOUN
ejpam-6517	176	9	of	of	ADP
ejpam-6517	176	10	the	the	DET
ejpam-6517	176	11	infectious	infectious	ADJ
ejpam-6517	176	12	class	class	NOUN
ejpam-6517	176	13	are	be	AUX
ejpam-6517	176	14	recruited	recruit	VERB
ejpam-6517	176	15	by	by	ADP
ejpam-6517	176	16	the	the	DET
ejpam-6517	176	17	exposed	expose	VERB
ejpam-6517	176	18	compartment	compartment	NOUN
ejpam-6517	176	19	.	.	PUNCT
ejpam-6517	177	1	at	at	ADP
ejpam-6517	177	2	a	a	DET
ejpam-6517	177	3	rate	rate	NOUN
ejpam-6517	177	4	of	of	ADP
ejpam-6517	177	5	θ	θ	PROPN
ejpam-6517	177	6	,	,	PUNCT
ejpam-6517	177	7	those	those	PRON
ejpam-6517	177	8	in	in	ADP
ejpam-6517	177	9	the	the	DET
ejpam-6517	177	10	infectious	infectious	ADJ
ejpam-6517	177	11	group	group	NOUN
ejpam-6517	177	12	who	who	PRON
ejpam-6517	177	13	are	be	AUX
ejpam-6517	177	14	severely	severely	ADV
ejpam-6517	177	15	afflicted	afflict	VERB
ejpam-6517	177	16	are	be	AUX
ejpam-6517	177	17	sent	send	VERB
ejpam-6517	177	18	for	for	ADP
ejpam-6517	177	19	treatment	treatment	NOUN
ejpam-6517	177	20	.	.	PUNCT
ejpam-6517	178	1	the	the	DET
ejpam-6517	178	2	natural	natural	ADJ
ejpam-6517	178	3	death	death	NOUN
ejpam-6517	178	4	rate	rate	NOUN
ejpam-6517	178	5	is	be	AUX
ejpam-6517	178	6	shown	show	VERB
ejpam-6517	178	7	by	by	ADP
ejpam-6517	178	8	µ0	µ0	NOUN
ejpam-6517	178	9	,	,	PUNCT
ejpam-6517	178	10	while	while	SCONJ
ejpam-6517	178	11	the	the	DET
ejpam-6517	178	12	infection	infection	NOUN
ejpam-6517	178	13	death	death	NOUN
ejpam-6517	178	14	rate	rate	NOUN
ejpam-6517	178	15	denoted	denote	VERB
ejpam-6517	178	16	by	by	ADP
ejpam-6517	178	17	d1	d1	PROPN
ejpam-6517	178	18	.	.	PUNCT
ejpam-6517	179	1	consequently	consequently	ADV
ejpam-6517	179	2	,	,	PUNCT
ejpam-6517	179	3	the	the	DET
ejpam-6517	179	4	net	net	ADJ
ejpam-6517	179	5	rate	rate	NOUN
ejpam-6517	179	6	of	of	ADP
ejpam-6517	179	7	change	change	NOUN
ejpam-6517	179	8	of	of	ADP
ejpam-6517	179	9	people	people	NOUN
ejpam-6517	179	10	within	within	ADP
ejpam-6517	179	11	the	the	DET
ejpam-6517	179	12	infectious	infectious	ADJ
ejpam-6517	179	13	class	class	NOUN
ejpam-6517	179	14	is	be	AUX
ejpam-6517	179	15	taken	take	VERB
ejpam-6517	179	16	into	into	ADP
ejpam-6517	179	17	consideration	consideration	NOUN
ejpam-6517	179	18	using	use	VERB
ejpam-6517	179	19	the	the	DET
ejpam-6517	179	20	following	follow	VERB
ejpam-6517	179	21	equation	equation	NOUN
ejpam-6517	179	22	,	,	PUNCT
ejpam-6517	179	23	di(t	di(t	NOUN
ejpam-6517	179	24	)	)	PUNCT
ejpam-6517	179	25	dt	dt	X
ejpam-6517	180	1	=	=	SYM
ejpam-6517	180	2	αe−	αe−	PROPN
ejpam-6517	180	3	(	(	PUNCT
ejpam-6517	180	4	θ	θ	NOUN
ejpam-6517	180	5	+	+	CCONJ
ejpam-6517	180	6	d1	d1	PROPN
ejpam-6517	180	7	+	+	CCONJ
ejpam-6517	180	8	µ0)i	µ0)i	ADJ
ejpam-6517	180	9	.	.	PUNCT
ejpam-6517	181	1	infectious	infectious	ADJ
ejpam-6517	181	2	individuals	individual	NOUN
ejpam-6517	181	3	enter	enter	VERB
ejpam-6517	181	4	the	the	DET
ejpam-6517	181	5	treatment	treatment	NOUN
ejpam-6517	181	6	compartment	compartment	NOUN
ejpam-6517	181	7	at	at	ADP
ejpam-6517	181	8	θ	θ	PROPN
ejpam-6517	181	9	,	,	PUNCT
ejpam-6517	181	10	and	and	CCONJ
ejpam-6517	181	11	go	go	VERB
ejpam-6517	181	12	to	to	ADP
ejpam-6517	181	13	the	the	DET
ejpam-6517	181	14	recovered	recovered	ADJ
ejpam-6517	181	15	compartment	compartment	NOUN
ejpam-6517	181	16	at	at	ADP
ejpam-6517	181	17	r2	r2	PROPN
ejpam-6517	181	18	.	.	PUNCT
ejpam-6517	182	1	the	the	DET
ejpam-6517	182	2	rate	rate	NOUN
ejpam-6517	182	3	of	of	ADP
ejpam-6517	182	4	natural	natural	ADJ
ejpam-6517	182	5	death	death	NOUN
ejpam-6517	182	6	causes	cause	VERB
ejpam-6517	182	7	an	an	DET
ejpam-6517	182	8	leave	leave	NOUN
ejpam-6517	182	9	from	from	ADP
ejpam-6517	182	10	the	the	DET
ejpam-6517	182	11	therapy	therapy	NOUN
ejpam-6517	182	12	compartment	compartment	NOUN
ejpam-6517	182	13	m.	m.	NOUN
ejpam-6517	182	14	mohiudin	mohiudin	PROPN
ejpam-6517	182	15	et	et	PROPN
ejpam-6517	182	16	al	al	PROPN
ejpam-6517	182	17	.	.	PUNCT
ejpam-6517	182	18	/	/	SYM
ejpam-6517	182	19	eur	eur	PROPN
ejpam-6517	182	20	.	.	PUNCT
ejpam-6517	183	1	j.	j.	PROPN
ejpam-6517	183	2	pure	pure	PROPN
ejpam-6517	183	3	appl	appl	PROPN
ejpam-6517	183	4	.	.	PROPN
ejpam-6517	183	5	math	math	PROPN
ejpam-6517	183	6	,	,	PUNCT
ejpam-6517	183	7	18	18	NUM
ejpam-6517	183	8	(	(	PUNCT
ejpam-6517	183	9	3	3	NUM
ejpam-6517	183	10	)	)	PUNCT
ejpam-6517	183	11	(	(	PUNCT
ejpam-6517	183	12	2025	2025	NUM
ejpam-6517	183	13	)	)	PUNCT
ejpam-6517	183	14	,	,	PUNCT
ejpam-6517	183	15	6517	6517	NUM
ejpam-6517	183	16	8	8	NUM
ejpam-6517	183	17	of	of	ADP
ejpam-6517	183	18	40	40	NUM
ejpam-6517	183	19	at	at	ADP
ejpam-6517	183	20	µo	µo	ADP
ejpam-6517	183	21	,	,	PUNCT
ejpam-6517	183	22	while	while	SCONJ
ejpam-6517	183	23	the	the	DET
ejpam-6517	183	24	death	death	NOUN
ejpam-6517	183	25	rate	rate	NOUN
ejpam-6517	183	26	during	during	ADP
ejpam-6517	183	27	treatment	treatment	NOUN
ejpam-6517	183	28	is	be	AUX
ejpam-6517	183	29	by	by	ADP
ejpam-6517	183	30	d2	d2	PROPN
ejpam-6517	183	31	.	.	PUNCT
ejpam-6517	184	1	consequently	consequently	ADV
ejpam-6517	184	2	,	,	PUNCT
ejpam-6517	184	3	the	the	DET
ejpam-6517	184	4	following	follow	VERB
ejpam-6517	184	5	formula	formula	NOUN
ejpam-6517	184	6	represents	represent	VERB
ejpam-6517	184	7	the	the	DET
ejpam-6517	184	8	net	net	ADJ
ejpam-6517	184	9	variation	variation	NOUN
ejpam-6517	184	10	in	in	ADP
ejpam-6517	184	11	the	the	DET
ejpam-6517	184	12	treatment	treatment	NOUN
ejpam-6517	184	13	compartment	compartment	NOUN
ejpam-6517	184	14	,	,	PUNCT
ejpam-6517	184	15	dt(t	dt(t	NOUN
ejpam-6517	184	16	)	)	PUNCT
ejpam-6517	184	17	dt	dt	NOUN
ejpam-6517	185	1	=	=	SYM
ejpam-6517	185	2	θi−	θi−	PROPN
ejpam-6517	185	3	(	(	PUNCT
ejpam-6517	185	4	r2	r2	PROPN
ejpam-6517	185	5	+	+	CCONJ
ejpam-6517	185	6	d2	d2	PROPN
ejpam-6517	185	7	+	+	CCONJ
ejpam-6517	185	8	µ0)t	µ0)t	NOUN
ejpam-6517	185	9	.	.	PUNCT
ejpam-6517	186	1	accordingly	accordingly	ADV
ejpam-6517	186	2	,	,	PUNCT
ejpam-6517	186	3	r1	r1	PROPN
ejpam-6517	186	4	and	and	CCONJ
ejpam-6517	186	5	r2	r2	PROPN
ejpam-6517	186	6	represent	represent	VERB
ejpam-6517	186	7	the	the	DET
ejpam-6517	186	8	transmission	transmission	NOUN
ejpam-6517	186	9	rates	rate	NOUN
ejpam-6517	186	10	from	from	ADP
ejpam-6517	186	11	the	the	DET
ejpam-6517	186	12	treatment	treatment	NOUN
ejpam-6517	186	13	and	and	CCONJ
ejpam-6517	186	14	exposed	expose	VERB
ejpam-6517	186	15	compartment	compartment	NOUN
ejpam-6517	186	16	to	to	ADP
ejpam-6517	186	17	the	the	DET
ejpam-6517	186	18	recovered	recover	VERB
ejpam-6517	186	19	compartment	compartment	NOUN
ejpam-6517	186	20	.	.	PUNCT
ejpam-6517	187	1	due	due	ADP
ejpam-6517	187	2	to	to	ADP
ejpam-6517	187	3	the	the	DET
ejpam-6517	187	4	natural	natural	ADJ
ejpam-6517	187	5	death	death	NOUN
ejpam-6517	187	6	rate	rate	NOUN
ejpam-6517	187	7	µ0	µ0	PROPN
ejpam-6517	187	8	,	,	PUNCT
ejpam-6517	187	9	some	some	DET
ejpam-6517	187	10	people	people	NOUN
ejpam-6517	187	11	leave	leave	VERB
ejpam-6517	187	12	the	the	DET
ejpam-6517	187	13	recovered	recovered	ADJ
ejpam-6517	187	14	class	class	NOUN
ejpam-6517	187	15	.	.	PUNCT
ejpam-6517	188	1	the	the	DET
ejpam-6517	188	2	formula	formula	NOUN
ejpam-6517	188	3	that	that	PRON
ejpam-6517	188	4	determines	determine	VERB
ejpam-6517	188	5	the	the	DET
ejpam-6517	188	6	total	total	ADJ
ejpam-6517	188	7	rate	rate	NOUN
ejpam-6517	188	8	of	of	ADP
ejpam-6517	188	9	change	change	NOUN
ejpam-6517	188	10	for	for	ADP
ejpam-6517	188	11	people	people	NOUN
ejpam-6517	188	12	in	in	ADP
ejpam-6517	188	13	the	the	DET
ejpam-6517	188	14	recovered	recovered	ADJ
ejpam-6517	188	15	compartment	compartment	NOUN
ejpam-6517	188	16	over	over	ADP
ejpam-6517	188	17	time	time	NOUN
ejpam-6517	188	18	is	be	AUX
ejpam-6517	188	19	hence	hence	ADV
ejpam-6517	188	20	dr(t	dr(t	NUM
ejpam-6517	188	21	)	)	PUNCT
ejpam-6517	188	22	dt	dt	NOUN
ejpam-6517	189	1	=	=	SYM
ejpam-6517	189	2	r2t+	r2t+	PROPN
ejpam-6517	189	3	r1e−	r1e−	PROPN
ejpam-6517	189	4	µ0r	µ0r	PROPN
ejpam-6517	189	5	.	.	PUNCT
ejpam-6517	189	6	to	to	PART
ejpam-6517	189	7	demonstrate	demonstrate	VERB
ejpam-6517	189	8	the	the	DET
ejpam-6517	189	9	dynamics	dynamic	NOUN
ejpam-6517	189	10	of	of	ADP
ejpam-6517	189	11	measles	measle	NOUN
ejpam-6517	189	12	,	,	PUNCT
ejpam-6517	189	13	we	we	PRON
ejpam-6517	189	14	develop	develop	VERB
ejpam-6517	189	15	a	a	DET
ejpam-6517	189	16	thorough	thorough	ADJ
ejpam-6517	189	17	mathematical	mathematical	ADJ
ejpam-6517	189	18	model	model	NOUN
ejpam-6517	189	19	by	by	ADP
ejpam-6517	189	20	integrating	integrate	VERB
ejpam-6517	189	21	all	all	PRON
ejpam-6517	189	22	of	of	ADP
ejpam-6517	189	23	the	the	DET
ejpam-6517	189	24	previously	previously	ADV
ejpam-6517	189	25	discussed	discuss	VERB
ejpam-6517	189	26	differential	differential	ADJ
ejpam-6517	189	27	equations	equation	NOUN
ejpam-6517	189	28	.	.	PUNCT
ejpam-6517	190	1	ds(t	ds(t	NOUN
ejpam-6517	190	2	)	)	PUNCT
ejpam-6517	190	3	dt	dt	NOUN
ejpam-6517	191	1	=	=	NUM
ejpam-6517	191	2	b+	b+	X
ejpam-6517	191	3	c1v−	c1v−	VERB
ejpam-6517	191	4	ksi	ksi	PROPN
ejpam-6517	191	5	m	m	PROPN
ejpam-6517	191	6	−	−	PROPN
ejpam-6517	192	1	(	(	PUNCT
ejpam-6517	192	2	c2	c2	PROPN
ejpam-6517	192	3	+	+	CCONJ
ejpam-6517	192	4	µ0)s	µ0)s	ADJ
ejpam-6517	192	5	,	,	PUNCT
ejpam-6517	192	6	dv(t	dv(t	PUNCT
ejpam-6517	192	7	)	)	PUNCT
ejpam-6517	192	8	dt	dt	NOUN
ejpam-6517	193	1	=	=	PUNCT
ejpam-6517	193	2	c2s−	c2s−	PROPN
ejpam-6517	193	3	(	(	PUNCT
ejpam-6517	193	4	c1	c1	PROPN
ejpam-6517	193	5	+	+	CCONJ
ejpam-6517	193	6	µ0)v	µ0)v	NOUN
ejpam-6517	193	7	,	,	PUNCT
ejpam-6517	193	8	de(t	de(t	NUM
ejpam-6517	193	9	)	)	PUNCT
ejpam-6517	193	10	dt	dt	NOUN
ejpam-6517	194	1	=	=	PUNCT
ejpam-6517	194	2	ksi	ksi	PROPN
ejpam-6517	194	3	m	m	PROPN
ejpam-6517	194	4	−	−	PROPN
ejpam-6517	194	5	(	(	PUNCT
ejpam-6517	194	6	α+	α+	PUNCT
ejpam-6517	194	7	r1	r1	PROPN
ejpam-6517	194	8	+	+	CCONJ
ejpam-6517	194	9	µ0)e	µ0)e	NOUN
ejpam-6517	194	10	,	,	PUNCT
ejpam-6517	194	11	di(t	di(t	NOUN
ejpam-6517	194	12	)	)	PUNCT
ejpam-6517	194	13	dt	dt	X
ejpam-6517	195	1	=	=	SYM
ejpam-6517	195	2	αe−	αe−	PROPN
ejpam-6517	195	3	(	(	PUNCT
ejpam-6517	195	4	θ	θ	NOUN
ejpam-6517	195	5	+	+	CCONJ
ejpam-6517	195	6	d1	d1	PROPN
ejpam-6517	195	7	+	+	CCONJ
ejpam-6517	195	8	µ0)i	µ0)i	ADJ
ejpam-6517	195	9	,	,	PUNCT
ejpam-6517	195	10	dt(t	dt(t	NOUN
ejpam-6517	195	11	)	)	PUNCT
ejpam-6517	195	12	dt	dt	NOUN
ejpam-6517	195	13	=	=	SYM
ejpam-6517	195	14	θi−	θi−	PROPN
ejpam-6517	195	15	(	(	PUNCT
ejpam-6517	195	16	r2	r2	PROPN
ejpam-6517	195	17	+	+	CCONJ
ejpam-6517	195	18	d2	d2	PROPN
ejpam-6517	195	19	+	+	CCONJ
ejpam-6517	195	20	µ0)t	µ0)t	ADJ
ejpam-6517	195	21	,	,	PUNCT
ejpam-6517	195	22	dr(t	dr(t	NUM
ejpam-6517	195	23	)	)	PUNCT
ejpam-6517	195	24	dt	dt	NOUN
ejpam-6517	196	1	=	=	SYM
ejpam-6517	196	2	r2t+	r2t+	PROPN
ejpam-6517	196	3	r1e−	r1e−	PROPN
ejpam-6517	196	4	µ0r	µ0r	PROPN
ejpam-6517	196	5	.	.	PUNCT
ejpam-6517	196	6	(	(	PUNCT
ejpam-6517	196	7	1	1	X
ejpam-6517	196	8	)	)	PUNCT
ejpam-6517	196	9	subject	subject	NOUN
ejpam-6517	196	10	to	to	ADP
ejpam-6517	196	11	the	the	DET
ejpam-6517	196	12	initial	initial	ADJ
ejpam-6517	196	13	condition	condition	NOUN
ejpam-6517	196	14	:	:	PUNCT
ejpam-6517	196	15	s(0	s(0	PROPN
ejpam-6517	196	16	)	)	PUNCT
ejpam-6517	196	17	≥	≥	NOUN
ejpam-6517	196	18	0,v(0	0,v(0	NUM
ejpam-6517	196	19	)	)	PUNCT
ejpam-6517	196	20	≥	≥	NOUN
ejpam-6517	196	21	0,e(0	0,e(0	SYM
ejpam-6517	196	22	)	)	PUNCT
ejpam-6517	196	23	≥	≥	NOUN
ejpam-6517	196	24	0	0	NUM
ejpam-6517	196	25	,	,	PUNCT
ejpam-6517	196	26	i(0	i(0	PROPN
ejpam-6517	196	27	)	)	PUNCT
ejpam-6517	196	28	≥	≥	NOUN
ejpam-6517	196	29	0,t(0	0,t(0	NUM
ejpam-6517	196	30	)	)	PUNCT
ejpam-6517	196	31	≥	≥	NOUN
ejpam-6517	196	32	0,r(0	0,r(0	NUM
ejpam-6517	196	33	)	)	PUNCT
ejpam-6517	196	34	≥	≥	NOUN
ejpam-6517	196	35	0	0	NUM
ejpam-6517	196	36	.	.	PUNCT
ejpam-6517	197	1	the	the	DET
ejpam-6517	197	2	model	model	NOUN
ejpam-6517	197	3	is	be	AUX
ejpam-6517	197	4	displayed	display	VERB
ejpam-6517	197	5	in	in	ADP
ejpam-6517	197	6	the	the	DET
ejpam-6517	197	7	form	form	NOUN
ejpam-6517	197	8	of	of	ADP
ejpam-6517	197	9	flow	flow	NOUN
ejpam-6517	197	10	chart	chart	NOUN
ejpam-6517	197	11	as	as	SCONJ
ejpam-6517	197	12	follows	follow	VERB
ejpam-6517	197	13	:	:	PUNCT
ejpam-6517	197	14	s	s	VERB
ejpam-6517	197	15	v	v	X
ejpam-6517	197	16	e	e	X
ejpam-6517	198	1	i	i	NOUN
ejpam-6517	198	2	t	t	NOUN
ejpam-6517	198	3	r	r	NOUN
ejpam-6517	198	4	b	b	PROPN
ejpam-6517	198	5	ksi	ksi	PROPN
ejpam-6517	198	6	m	m	PROPN
ejpam-6517	198	7	c2	c2	PROPN
ejpam-6517	198	8	c1	c1	PROPN
ejpam-6517	198	9	α	α	PROPN
ejpam-6517	198	10	r1	r1	PROPN
ejpam-6517	198	11	θ	θ	PROPN
ejpam-6517	198	12	r2	r2	PROPN
ejpam-6517	198	13	µ0	µ0	PROPN
ejpam-6517	198	14	µ0	µ0	NOUN
ejpam-6517	198	15	µ0	µ0	NOUN
ejpam-6517	198	16	µ0	µ0	NOUN
ejpam-6517	198	17	+	+	CCONJ
ejpam-6517	198	18	d1	d1	PROPN
ejpam-6517	198	19	µ0	µ0	NOUN
ejpam-6517	198	20	+	+	CCONJ
ejpam-6517	198	21	d2	d2	PROPN
ejpam-6517	198	22	µ0	µ0	PROPN
ejpam-6517	198	23	m.	m.	NOUN
ejpam-6517	198	24	mohiudin	mohiudin	PROPN
ejpam-6517	198	25	et	et	PROPN
ejpam-6517	198	26	al	al	PROPN
ejpam-6517	198	27	.	.	PUNCT
ejpam-6517	198	28	/	/	SYM
ejpam-6517	198	29	eur	eur	PROPN
ejpam-6517	198	30	.	.	PUNCT
ejpam-6517	199	1	j.	j.	PROPN
ejpam-6517	199	2	pure	pure	PROPN
ejpam-6517	199	3	appl	appl	PROPN
ejpam-6517	199	4	.	.	PROPN
ejpam-6517	199	5	math	math	PROPN
ejpam-6517	199	6	,	,	PUNCT
ejpam-6517	199	7	18	18	NUM
ejpam-6517	199	8	(	(	PUNCT
ejpam-6517	199	9	3	3	NUM
ejpam-6517	199	10	)	)	PUNCT
ejpam-6517	199	11	(	(	PUNCT
ejpam-6517	199	12	2025	2025	NUM
ejpam-6517	199	13	)	)	PUNCT
ejpam-6517	199	14	,	,	PUNCT
ejpam-6517	199	15	6517	6517	NUM
ejpam-6517	199	16	9	9	NUM
ejpam-6517	199	17	of	of	ADP
ejpam-6517	199	18	40	40	NUM
ejpam-6517	199	19	3	3	NUM
ejpam-6517	199	20	.	.	PUNCT
ejpam-6517	199	21	mathematical	mathematical	ADJ
ejpam-6517	199	22	analysis	analysis	NOUN
ejpam-6517	199	23	this	this	DET
ejpam-6517	199	24	section	section	NOUN
ejpam-6517	199	25	covers	cover	VERB
ejpam-6517	199	26	the	the	DET
ejpam-6517	199	27	model	model	NOUN
ejpam-6517	199	28	(	(	PUNCT
ejpam-6517	199	29	1	1	NUM
ejpam-6517	199	30	)	)	PUNCT
ejpam-6517	199	31	characteristics	characteristic	NOUN
ejpam-6517	199	32	,	,	PUNCT
ejpam-6517	199	33	including	include	VERB
ejpam-6517	199	34	the	the	DET
ejpam-6517	199	35	solution	solution	NOUN
ejpam-6517	199	36	’s	’s	PART
ejpam-6517	199	37	boundedness	boundedness	NOUN
ejpam-6517	199	38	,	,	PUNCT
ejpam-6517	199	39	positivity	positivity	NOUN
ejpam-6517	199	40	,	,	PUNCT
ejpam-6517	199	41	and	and	CCONJ
ejpam-6517	199	42	well	well	ADV
ejpam-6517	199	43	-	-	PUNCT
ejpam-6517	199	44	posedness	posedness	NOUN
ejpam-6517	199	45	t	t	PROPN
ejpam-6517	199	46	≥	≥	PROPN
ejpam-6517	199	47	0	0	NUM
ejpam-6517	199	48	.	.	PUNCT
ejpam-6517	200	1	let	let	VERB
ejpam-6517	200	2	y	y	NOUN
ejpam-6517	200	3	:	:	PUNCT
ejpam-6517	201	1	[	[	X
ejpam-6517	201	2	0	0	NUM
ejpam-6517	201	3	→	→	SYM
ejpam-6517	201	4	∞	∞	NUM
ejpam-6517	201	5	)	)	PUNCT
ejpam-6517	201	6	=	=	NOUN
ejpam-6517	201	7	⇒	⇒	NOUN
ejpam-6517	201	8	r6	r6	NOUN
ejpam-6517	201	9	be	be	AUX
ejpam-6517	201	10	provide	provide	VERB
ejpam-6517	201	11	by	by	ADP
ejpam-6517	201	12	y	y	PROPN
ejpam-6517	201	13	=	=	PUNCT
ejpam-6517	202	1	(	(	PUNCT
ejpam-6517	202	2	s+	s+	X
ejpam-6517	202	3	v+	v+	X
ejpam-6517	202	4	e+	e+	VERB
ejpam-6517	202	5	i+	i+	NUM
ejpam-6517	202	6	t+	t+	NOUN
ejpam-6517	202	7	r)t	r)t	DET
ejpam-6517	202	8	a	a	DET
ejpam-6517	202	9	vector	vector	NOUN
ejpam-6517	202	10	common	common	ADJ
ejpam-6517	202	11	in	in	ADP
ejpam-6517	202	12	r6	r6	NOUN
ejpam-6517	202	13	comprising	comprise	VERB
ejpam-6517	202	14	six	six	NUM
ejpam-6517	202	15	state	state	NOUN
ejpam-6517	202	16	parameters	parameter	NOUN
ejpam-6517	202	17	.	.	PUNCT
ejpam-6517	203	1	let	let	VERB
ejpam-6517	203	2	g(y	g(y	NOUN
ejpam-6517	203	3	)	)	PUNCT
ejpam-6517	203	4	=	=	SYM
ejpam-6517	203	5	(	(	PUNCT
ejpam-6517	203	6	g1(y	g1(y	PROPN
ejpam-6517	203	7	)	)	PUNCT
ejpam-6517	203	8	+	+	X
ejpam-6517	204	1	g2(y	g2(y	X
ejpam-6517	204	2	)	)	PUNCT
ejpam-6517	204	3	+	+	CCONJ
ejpam-6517	204	4	g3(y	g3(y	NOUN
ejpam-6517	204	5	)	)	PUNCT
ejpam-6517	204	6	+	+	NUM
ejpam-6517	204	7	g4(y	g4(y	X
ejpam-6517	204	8	)	)	PUNCT
ejpam-6517	204	9	+	+	X
ejpam-6517	204	10	g5(y	g5(y	X
ejpam-6517	204	11	)	)	PUNCT
ejpam-6517	204	12	+	+	CCONJ
ejpam-6517	204	13	g6(y	g6(y	NOUN
ejpam-6517	204	14	)	)	PUNCT
ejpam-6517	204	15	)	)	PUNCT
ejpam-6517	205	1	t	t	PROPN
ejpam-6517	205	2	be	be	AUX
ejpam-6517	205	3	provided	provide	VERB
ejpam-6517	205	4	by	by	ADP
ejpam-6517	205	5	g	g	NOUN
ejpam-6517	205	6	:	:	PUNCT
ejpam-6517	205	7	r6	r6	NOUN
ejpam-6517	205	8	=	=	NOUN
ejpam-6517	205	9	⇒	⇒	PROPN
ejpam-6517	205	10	r6	r6	NOUN
ejpam-6517	205	11	,	,	PUNCT
ejpam-6517	205	12	a	a	DET
ejpam-6517	205	13	function	function	NOUN
ejpam-6517	205	14	with	with	ADP
ejpam-6517	205	15	a	a	DET
ejpam-6517	205	16	vector	vector	NOUN
ejpam-6517	205	17	value	value	NOUN
ejpam-6517	205	18	defined	define	VERB
ejpam-6517	205	19	by	by	ADP
ejpam-6517	205	20	r6	r6	NOUN
ejpam-6517	205	21	where	where	SCONJ
ejpam-6517	205	22	g1(y	g1(y	NOUN
ejpam-6517	205	23	)	)	PUNCT
ejpam-6517	205	24	=	=	PUNCT
ejpam-6517	205	25	b+	b+	X
ejpam-6517	205	26	c1v−	c1v−	VERB
ejpam-6517	205	27	ksi	ksi	PROPN
ejpam-6517	205	28	m	m	PROPN
ejpam-6517	205	29	−	−	PROPN
ejpam-6517	205	30	µ0s−	µ0s−	X
ejpam-6517	205	31	c2s	c2s	PROPN
ejpam-6517	205	32	,	,	PUNCT
ejpam-6517	205	33	g2(y	g2(y	NOUN
ejpam-6517	205	34	)	)	PUNCT
ejpam-6517	205	35	=	=	NOUN
ejpam-6517	206	1	c2s−	c2s−	PROPN
ejpam-6517	206	2	c1v−	c1v−	NOUN
ejpam-6517	206	3	µ0v	µ0v	NUM
ejpam-6517	206	4	,	,	PUNCT
ejpam-6517	206	5	g3(y	g3(y	PROPN
ejpam-6517	206	6	)	)	PUNCT
ejpam-6517	206	7	=	=	PROPN
ejpam-6517	207	1	ksi	ksi	PROPN
ejpam-6517	207	2	m	m	PROPN
ejpam-6517	207	3	−	−	PROPN
ejpam-6517	207	4	αe−	αe−	NUM
ejpam-6517	207	5	r1e−	r1e−	VERB
ejpam-6517	207	6	µ0e	µ0e	PROPN
ejpam-6517	207	7	,	,	PUNCT
ejpam-6517	207	8	g4(y	g4(y	X
ejpam-6517	207	9	)	)	PUNCT
ejpam-6517	207	10	=	=	SYM
ejpam-6517	207	11	αe−	αe−	PROPN
ejpam-6517	207	12	θ)i−	θ)i−	NOUN
ejpam-6517	207	13	(	(	PUNCT
ejpam-6517	207	14	d1	d1	PROPN
ejpam-6517	207	15	+	+	CCONJ
ejpam-6517	207	16	µ0)i	µ0)i	ADJ
ejpam-6517	207	17	,	,	PUNCT
ejpam-6517	207	18	g5(y	g5(y	NOUN
ejpam-6517	207	19	)	)	PUNCT
ejpam-6517	207	20	=	=	SYM
ejpam-6517	207	21	θi−	θi−	ADJ
ejpam-6517	207	22	r2t−	r2t−	NOUN
ejpam-6517	207	23	(	(	PUNCT
ejpam-6517	207	24	d2	d2	NOUN
ejpam-6517	207	25	+	+	CCONJ
ejpam-6517	207	26	µ0)t	µ0)t	NOUN
ejpam-6517	207	27	,	,	PUNCT
ejpam-6517	207	28	g6(y	g6(y	NOUN
ejpam-6517	207	29	)	)	PUNCT
ejpam-6517	207	30	=	=	SYM
ejpam-6517	207	31	r2t+	r2t+	PROPN
ejpam-6517	207	32	r1e−	r1e−	PROPN
ejpam-6517	207	33	µ0r	µ0r	PROPN
ejpam-6517	207	34	.	.	PUNCT
ejpam-6517	207	35	(	(	PUNCT
ejpam-6517	207	36	2	2	NUM
ejpam-6517	207	37	)	)	PUNCT
ejpam-6517	207	38	in	in	ADP
ejpam-6517	207	39	compact	compact	ADJ
ejpam-6517	207	40	form	form	NOUN
ejpam-6517	207	41	,	,	PUNCT
ejpam-6517	207	42	the	the	DET
ejpam-6517	207	43	system	system	NOUN
ejpam-6517	207	44	(	(	PUNCT
ejpam-6517	207	45	1)−	1)−	PROPN
ejpam-6517	207	46	(	(	PUNCT
ejpam-6517	207	47	2	2	NUM
ejpam-6517	207	48	)	)	PUNCT
ejpam-6517	207	49	can	can	AUX
ejpam-6517	207	50	be	be	AUX
ejpam-6517	207	51	expressed	express	VERB
ejpam-6517	207	52	as	as	ADP
ejpam-6517	207	53	:	:	PUNCT
ejpam-6517	207	54	dx	dx	PROPN
ejpam-6517	207	55	dt	dt	X
ejpam-6517	208	1	=	=	PUNCT
ejpam-6517	208	2	g(y	g(y	PROPN
ejpam-6517	208	3	)	)	PUNCT
ejpam-6517	208	4	,	,	PUNCT
ejpam-6517	208	5	x(0	x(0	PROPN
ejpam-6517	208	6	)	)	PUNCT
ejpam-6517	209	1	=	=	SYM
ejpam-6517	209	2	x0	x0	PROPN
ejpam-6517	209	3	(	(	PUNCT
ejpam-6517	209	4	3	3	X
ejpam-6517	209	5	)	)	PUNCT
ejpam-6517	209	6	here	here	ADV
ejpam-6517	209	7	x0	x0	PROPN
ejpam-6517	209	8	=	=	PUNCT
ejpam-6517	209	9	(	(	PUNCT
ejpam-6517	209	10	s(0),p(0	s(0),p(0	NOUN
ejpam-6517	209	11	)	)	PUNCT
ejpam-6517	209	12	,	,	PUNCT
ejpam-6517	209	13	i(0),t(0),r(0))t	i(0),t(0),r(0))t	NOUN
ejpam-6517	209	14	theorem	theorem	VERB
ejpam-6517	209	15	1	1	NUM
ejpam-6517	209	16	.	.	PUNCT
ejpam-6517	210	1	the	the	DET
ejpam-6517	210	2	function	function	NOUN
ejpam-6517	210	3	g	g	PROPN
ejpam-6517	210	4	is	be	AUX
ejpam-6517	210	5	continuous	continuous	ADJ
ejpam-6517	210	6	lipschitly	lipschitly	ADV
ejpam-6517	210	7	in	in	ADP
ejpam-6517	210	8	y.	y.	PROPN
ejpam-6517	210	9	proof	proof	NOUN
ejpam-6517	210	10	.	.	PUNCT
ejpam-6517	211	1	as	as	SCONJ
ejpam-6517	211	2	six	six	NUM
ejpam-6517	211	3	state	state	NOUN
ejpam-6517	211	4	variable	variable	NOUN
ejpam-6517	211	5	,	,	PUNCT
ejpam-6517	211	6	(	(	PUNCT
ejpam-6517	211	7	s	s	X
ejpam-6517	211	8	,	,	PUNCT
ejpam-6517	211	9	v	v	NOUN
ejpam-6517	211	10	,	,	PUNCT
ejpam-6517	211	11	e	e	NOUN
ejpam-6517	211	12	,	,	PUNCT
ejpam-6517	211	13	i	i	PRON
ejpam-6517	211	14	,	,	PUNCT
ejpam-6517	211	15	t	t	PROPN
ejpam-6517	211	16	and	and	CCONJ
ejpam-6517	211	17	r	r	NOUN
ejpam-6517	211	18	)	)	PUNCT
ejpam-6517	211	19	are	be	AUX
ejpam-6517	211	20	continuous	continuous	ADJ
ejpam-6517	211	21	differentiable	differentiable	ADJ
ejpam-6517	211	22	equations	equation	NOUN
ejpam-6517	211	23	of	of	ADP
ejpam-6517	211	24	t	t	PROPN
ejpam-6517	211	25	and	and	CCONJ
ejpam-6517	211	26	hence	hence	ADV
ejpam-6517	211	27	are	be	AUX
ejpam-6517	211	28	the	the	DET
ejpam-6517	211	29	elements	element	NOUN
ejpam-6517	211	30	,	,	PUNCT
ejpam-6517	211	31	g1(y	g1(y	PROPN
ejpam-6517	211	32	)	)	PUNCT
ejpam-6517	211	33	,	,	PUNCT
ejpam-6517	211	34	g2(y	g2(y	PROPN
ejpam-6517	211	35	)	)	PUNCT
ejpam-6517	211	36	,	,	PUNCT
ejpam-6517	211	37	g3(y	g3(y	PROPN
ejpam-6517	211	38	)	)	PUNCT
ejpam-6517	211	39	,	,	PUNCT
ejpam-6517	211	40	g4(y	g4(y	X
ejpam-6517	211	41	)	)	PUNCT
ejpam-6517	211	42	,	,	PUNCT
ejpam-6517	211	43	g5(y	g5(y	NOUN
ejpam-6517	211	44	)	)	PUNCT
ejpam-6517	211	45	and	and	CCONJ
ejpam-6517	211	46	g6(y	g6(y	NOUN
ejpam-6517	211	47	)	)	PUNCT
ejpam-6517	211	48	of	of	ADP
ejpam-6517	211	49	the	the	DET
ejpam-6517	211	50	function	function	NOUN
ejpam-6517	211	51	g.	g.	NOUN
ejpam-6517	211	52	let	let	AUX
ejpam-6517	211	53	assume	assume	VERB
ejpam-6517	211	54	,	,	PUNCT
ejpam-6517	211	55	l(y	l(y	PROPN
ejpam-6517	211	56	,	,	PUNCT
ejpam-6517	211	57	z	z	PROPN
ejpam-6517	211	58	,	,	PUNCT
ejpam-6517	211	59	b	b	NOUN
ejpam-6517	211	60	)	)	PUNCT
ejpam-6517	212	1	=	=	SYM
ejpam-6517	212	2	x+	x+	PUNCT
ejpam-6517	213	1	b(z	b(z	NOUN
ejpam-6517	213	2	−	−	PROPN
ejpam-6517	213	3	y	y	PROPN
ejpam-6517	213	4	)	)	PUNCT
ejpam-6517	213	5	:	:	PUNCT
ejpam-6517	214	1	b	b	X
ejpam-6517	214	2	∈	∈	NOUN
ejpam-6517	215	1	[	[	X
ejpam-6517	215	2	0	0	NUM
ejpam-6517	215	3	,	,	PUNCT
ejpam-6517	215	4	1	1	NUM
ejpam-6517	215	5	]	]	PUNCT
ejpam-6517	215	6	,	,	PUNCT
ejpam-6517	215	7	y	y	PROPN
ejpam-6517	215	8	,	,	PUNCT
ejpam-6517	215	9	z	z	PROPN
ejpam-6517	215	10	∈	∈	PROPN
ejpam-6517	215	11	r6	r6	NOUN
ejpam-6517	215	12	.	.	PUNCT
ejpam-6517	216	1	a	a	DET
ejpam-6517	216	2	set	set	NOUN
ejpam-6517	216	3	l(y	l(y	PROPN
ejpam-6517	216	4	,	,	PUNCT
ejpam-6517	216	5	z	z	PROPN
ejpam-6517	216	6	,	,	PUNCT
ejpam-6517	216	7	b	b	NOUN
ejpam-6517	216	8	)	)	PUNCT
ejpam-6517	216	9	is	be	AUX
ejpam-6517	216	10	a	a	DET
ejpam-6517	216	11	section	section	NOUN
ejpam-6517	216	12	of	of	ADP
ejpam-6517	216	13	a	a	DET
ejpam-6517	216	14	line	line	NOUN
ejpam-6517	216	15	in	in	ADP
ejpam-6517	216	16	r6	r6	NOUN
ejpam-6517	216	17	which	which	PRON
ejpam-6517	216	18	meets	meet	VERB
ejpam-6517	216	19	the	the	DET
ejpam-6517	216	20	point	point	NOUN
ejpam-6517	216	21	y	y	PROPN
ejpam-6517	216	22	to	to	ADP
ejpam-6517	216	23	z	z	PROPN
ejpam-6517	216	24	as	as	ADP
ejpam-6517	216	25	b	b	PROPN
ejpam-6517	216	26	varies	vary	VERB
ejpam-6517	216	27	from	from	ADP
ejpam-6517	216	28	0	0	NUM
ejpam-6517	216	29	to	to	ADP
ejpam-6517	216	30	1	1	NUM
ejpam-6517	216	31	,	,	PUNCT
ejpam-6517	216	32	and	and	CCONJ
ejpam-6517	216	33	is	be	AUX
ejpam-6517	216	34	a	a	DET
ejpam-6517	216	35	compact	compact	ADJ
ejpam-6517	216	36	subset	subset	NOUN
ejpam-6517	216	37	of	of	ADP
ejpam-6517	216	38	r6	r6	NOUN
ejpam-6517	216	39	.	.	PUNCT
ejpam-6517	217	1	therefore	therefore	ADV
ejpam-6517	217	2	,	,	PUNCT
ejpam-6517	217	3	we	we	PRON
ejpam-6517	217	4	can	can	AUX
ejpam-6517	217	5	select	select	VERB
ejpam-6517	217	6	a	a	DET
ejpam-6517	217	7	point	point	NOUN
ejpam-6517	217	8	c	c	NOUN
ejpam-6517	217	9	∈	∈	PROPN
ejpam-6517	217	10	l(y	l(y	PROPN
ejpam-6517	217	11	,	,	PUNCT
ejpam-6517	217	12	z	z	PROPN
ejpam-6517	217	13	,	,	PUNCT
ejpam-6517	217	14	b	b	NOUN
ejpam-6517	217	15	)	)	PUNCT
ejpam-6517	217	16	so	so	SCONJ
ejpam-6517	217	17	that	that	SCONJ
ejpam-6517	217	18	the	the	DET
ejpam-6517	217	19	subsequent	subsequent	ADJ
ejpam-6517	217	20	equalities	equality	NOUN
ejpam-6517	217	21	hold	hold	VERB
ejpam-6517	217	22	by	by	ADP
ejpam-6517	217	23	using	use	VERB
ejpam-6517	217	24	the	the	DET
ejpam-6517	217	25	mean	mean	ADJ
ejpam-6517	217	26	value	value	NOUN
ejpam-6517	217	27	theorem	theorem	VERB
ejpam-6517	217	28	,	,	PUNCT
ejpam-6517	217	29	∥g(z)−g(y)∥∞	∥g(z)−g(y)∥∞	SYM
ejpam-6517	217	30	=	=	SYM
ejpam-6517	217	31	∥g,(c	∥g,(c	PROPN
ejpam-6517	217	32	;	;	PUNCT
ejpam-6517	217	33	z	z	PROPN
ejpam-6517	217	34	−	−	PROPN
ejpam-6517	217	35	y)∥∞	y)∥∞	NUM
ejpam-6517	217	36	(	(	PUNCT
ejpam-6517	217	37	4	4	NUM
ejpam-6517	217	38	)	)	PUNCT
ejpam-6517	217	39	here	here	ADV
ejpam-6517	217	40	g(c	g(c	NOUN
ejpam-6517	217	41	;	;	PUNCT
ejpam-6517	217	42	z	z	NOUN
ejpam-6517	217	43	−	−	PROPN
ejpam-6517	217	44	y	y	X
ejpam-6517	217	45	)	)	PUNCT
ejpam-6517	217	46	is	be	AUX
ejpam-6517	217	47	a	a	DET
ejpam-6517	217	48	directional	directional	ADJ
ejpam-6517	217	49	derivatives	derivative	NOUN
ejpam-6517	217	50	of	of	ADP
ejpam-6517	217	51	the	the	DET
ejpam-6517	217	52	function	function	NOUN
ejpam-6517	217	53	g	g	NOUN
ejpam-6517	217	54	at	at	ADP
ejpam-6517	217	55	c	c	PROPN
ejpam-6517	217	56	in	in	ADP
ejpam-6517	217	57	the	the	DET
ejpam-6517	217	58	direction	direction	NOUN
ejpam-6517	217	59	of	of	ADP
ejpam-6517	217	60	z	z	PROPN
ejpam-6517	217	61	-	-	PUNCT
ejpam-6517	217	62	y.	y.	PROPN
ejpam-6517	218	1	so	so	ADV
ejpam-6517	218	2	,	,	PUNCT
ejpam-6517	218	3	we	we	PRON
ejpam-6517	218	4	have	have	VERB
ejpam-6517	218	5	∥g,(c	∥g,(c	NOUN
ejpam-6517	218	6	;	;	PUNCT
ejpam-6517	218	7	z	z	PROPN
ejpam-6517	218	8	−	−	PROPN
ejpam-6517	219	1	y)∥∞	y)∥∞	X
ejpam-6517	219	2	=	=	SYM
ejpam-6517	219	3	6∑	6∑	NUM
ejpam-6517	219	4	i=1	i=1	PROPN
ejpam-6517	220	1	∥jgi(z).(z	∥jgi(z).(z	PROPN
ejpam-6517	220	2	−	−	NOUN
ejpam-6517	220	3	y)ei∥∞	y)ei∥∞	PROPN
ejpam-6517	220	4	≤	≤	NUM
ejpam-6517	220	5	6∑	6∑	NUM
ejpam-6517	220	6	i=1	i=1	PROPN
ejpam-6517	220	7	∥jgi(z)∥∞∥z	∥jgi(z)∥∞∥z	PUNCT
ejpam-6517	220	8	−	−	PROPN
ejpam-6517	220	9	y|∞.	y|∞.	PROPN
ejpam-6517	220	10	the	the	DET
ejpam-6517	220	11	abounded	abound	VERB
ejpam-6517	220	12	linear	linear	NOUN
ejpam-6517	220	13	operator	operator	NOUN
ejpam-6517	220	14	jgi(c	jgi(c	PROPN
ejpam-6517	220	15	)	)	PUNCT
ejpam-6517	220	16	and	and	CCONJ
ejpam-6517	220	17	the	the	DET
ejpam-6517	220	18	ith	ith	PROPN
ejpam-6517	220	19	coordinate	coordinate	NOUN
ejpam-6517	220	20	unit	unit	NOUN
ejpam-6517	220	21	column	column	NOUN
ejpam-6517	220	22	ei	ei	NOUN
ejpam-6517	220	23	in	in	ADP
ejpam-6517	220	24	r6	r6	PROPN
ejpam-6517	220	25	+	+	CCONJ
ejpam-6517	220	26	are	be	AUX
ejpam-6517	220	27	used	use	VERB
ejpam-6517	220	28	here	here	ADV
ejpam-6517	220	29	.	.	PUNCT
ejpam-6517	221	1	given	give	VERB
ejpam-6517	221	2	the	the	DET
ejpam-6517	221	3	limited	limited	ADJ
ejpam-6517	221	4	nature	nature	NOUN
ejpam-6517	221	5	of	of	ADP
ejpam-6517	221	6	the	the	DET
ejpam-6517	221	7	partial	partial	ADJ
ejpam-6517	221	8	derivatives	derivative	NOUN
ejpam-6517	221	9	of	of	ADP
ejpam-6517	221	10	the	the	DET
ejpam-6517	221	11	function	function	NOUN
ejpam-6517	221	12	gi	gi	NOUN
ejpam-6517	221	13	,	,	PUNCT
ejpam-6517	221	14	i	i	PRON
ejpam-6517	221	15	=	=	NOUN
ejpam-6517	221	16	1	1	NUM
ejpam-6517	221	17	,	,	PUNCT
ejpam-6517	221	18	2	2	NUM
ejpam-6517	221	19	,	,	PUNCT
ejpam-6517	221	20	3	3	NUM
ejpam-6517	221	21	,	,	PUNCT
ejpam-6517	221	22	4	4	NUM
ejpam-6517	221	23	,	,	PUNCT
ejpam-6517	221	24	5	5	NUM
ejpam-6517	221	25	,	,	PUNCT
ejpam-6517	221	26	6	6	NUM
ejpam-6517	221	27	,	,	PUNCT
ejpam-6517	221	28	there	there	PRON
ejpam-6517	221	29	exists	exist	VERB
ejpam-6517	221	30	an	an	DET
ejpam-6517	221	31	integer	integer	NOUN
ejpam-6517	221	32	k1	k1	NOUN
ejpam-6517	221	33	such	such	ADJ
ejpam-6517	221	34	that	that	PRON
ejpam-6517	221	35	,	,	PUNCT
ejpam-6517	221	36	6∑	6∑	NUM
ejpam-6517	221	37	i=1	i=1	PROPN
ejpam-6517	221	38	∥jgi(z)∥∞	∥jgi(z)∥∞	PROPN
ejpam-6517	221	39	≤	≤	NUM
ejpam-6517	221	40	k1	k1	NOUN
ejpam-6517	221	41	,	,	PUNCT
ejpam-6517	221	42	m.	m.	NOUN
ejpam-6517	221	43	mohiudin	mohiudin	PROPN
ejpam-6517	221	44	et	et	PROPN
ejpam-6517	221	45	al	al	PROPN
ejpam-6517	221	46	.	.	PUNCT
ejpam-6517	221	47	/	/	SYM
ejpam-6517	221	48	eur	eur	PROPN
ejpam-6517	221	49	.	.	PUNCT
ejpam-6517	222	1	j.	j.	PROPN
ejpam-6517	222	2	pure	pure	PROPN
ejpam-6517	222	3	appl	appl	PROPN
ejpam-6517	222	4	.	.	PROPN
ejpam-6517	222	5	math	math	PROPN
ejpam-6517	222	6	,	,	PUNCT
ejpam-6517	222	7	18	18	NUM
ejpam-6517	222	8	(	(	PUNCT
ejpam-6517	222	9	3	3	NUM
ejpam-6517	222	10	)	)	PUNCT
ejpam-6517	222	11	(	(	PUNCT
ejpam-6517	222	12	2025	2025	NUM
ejpam-6517	222	13	)	)	PUNCT
ejpam-6517	222	14	,	,	PUNCT
ejpam-6517	222	15	6517	6517	NUM
ejpam-6517	222	16	10	10	NUM
ejpam-6517	222	17	of	of	ADP
ejpam-6517	222	18	40	40	NUM
ejpam-6517	222	19	for	for	ADP
ejpam-6517	222	20	c	c	PROPN
ejpam-6517	222	21	∈	∈	PROPN
ejpam-6517	222	22	l(y	l(y	PROPN
ejpam-6517	222	23	,	,	PUNCT
ejpam-6517	222	24	z	z	PROPN
ejpam-6517	222	25	,	,	PUNCT
ejpam-6517	222	26	b	b	NOUN
ejpam-6517	222	27	)	)	PUNCT
ejpam-6517	222	28	⊆	⊆	NUM
ejpam-6517	222	29	r6	r6	NOUN
ejpam-6517	222	30	+	+	NOUN
ejpam-6517	222	31	.	.	PUNCT
ejpam-6517	223	1	consequently	consequently	ADV
ejpam-6517	223	2	,	,	PUNCT
ejpam-6517	223	3	we	we	PRON
ejpam-6517	223	4	have	have	VERB
ejpam-6517	223	5	∥g(z)−g(y)∥∞	∥g(z)−g(y)∥∞	X
ejpam-6517	223	6	≤	≤	PART
ejpam-6517	223	7	k1∥z	k1∥z	PROPN
ejpam-6517	223	8	−	−	PROPN
ejpam-6517	223	9	y|∞	y|∞	PROPN
ejpam-6517	223	10	,	,	PUNCT
ejpam-6517	223	11	and	and	CCONJ
ejpam-6517	223	12	so	so	ADV
ejpam-6517	223	13	its	its	PRON
ejpam-6517	223	14	prove	prove	NOUN
ejpam-6517	223	15	that	that	SCONJ
ejpam-6517	223	16	g	g	PROPN
ejpam-6517	223	17	is	be	AUX
ejpam-6517	223	18	lipschitz	lipschitz	ADJ
ejpam-6517	223	19	continuous	continuous	ADJ
ejpam-6517	223	20	.	.	PUNCT
ejpam-6517	224	1	theorem	theorem	NOUN
ejpam-6517	224	2	2	2	NUM
ejpam-6517	224	3	.	.	PUNCT
ejpam-6517	225	1	the	the	DET
ejpam-6517	225	2	system	system	NOUN
ejpam-6517	225	3	(	(	PUNCT
ejpam-6517	225	4	4	4	X
ejpam-6517	225	5	)	)	PUNCT
ejpam-6517	225	6	has	have	VERB
ejpam-6517	225	7	a	a	DET
ejpam-6517	225	8	unique	unique	ADJ
ejpam-6517	225	9	solution	solution	NOUN
ejpam-6517	225	10	.	.	PUNCT
ejpam-6517	226	1	proof	proof	NOUN
ejpam-6517	226	2	.	.	PUNCT
ejpam-6517	227	1	according	accord	VERB
ejpam-6517	227	2	to	to	ADP
ejpam-6517	227	3	theorem	theorem	NOUN
ejpam-6517	227	4	1	1	NUM
ejpam-6517	227	5	,	,	PUNCT
ejpam-6517	227	6	a	a	DET
ejpam-6517	227	7	system	system	NOUN
ejpam-6517	227	8	g	g	NOUN
ejpam-6517	227	9	presented	present	VERB
ejpam-6517	227	10	in	in	ADP
ejpam-6517	227	11	(	(	PUNCT
ejpam-6517	227	12	4	4	NUM
ejpam-6517	227	13	)	)	PUNCT
ejpam-6517	227	14	is	be	AUX
ejpam-6517	227	15	lipschitz	lipschitz	VERB
ejpam-6517	227	16	continuous	continuous	ADJ
ejpam-6517	227	17	in	in	ADP
ejpam-6517	227	18	y.	y.	PROPN
ejpam-6517	227	19	thus	thus	ADV
ejpam-6517	227	20	,	,	PUNCT
ejpam-6517	227	21	the	the	DET
ejpam-6517	227	22	system	system	NOUN
ejpam-6517	227	23	(	(	PUNCT
ejpam-6517	227	24	4	4	X
ejpam-6517	227	25	)	)	PUNCT
ejpam-6517	227	26	has	have	VERB
ejpam-6517	227	27	a	a	DET
ejpam-6517	227	28	unique	unique	ADJ
ejpam-6517	227	29	solution	solution	NOUN
ejpam-6517	227	30	according	accord	VERB
ejpam-6517	227	31	to	to	ADP
ejpam-6517	227	32	the	the	DET
ejpam-6517	227	33	picard	picard	PROPN
ejpam-6517	227	34	theorem	theorem	NOUN
ejpam-6517	227	35	of	of	ADP
ejpam-6517	227	36	existence	existence	NOUN
ejpam-6517	227	37	and	and	CCONJ
ejpam-6517	227	38	uniqueness	uniqueness	NOUN
ejpam-6517	227	39	.	.	PUNCT
ejpam-6517	228	1	it	it	PRON
ejpam-6517	228	2	is	be	AUX
ejpam-6517	228	3	considered	consider	VERB
ejpam-6517	228	4	practical	practical	ADJ
ejpam-6517	228	5	if	if	SCONJ
ejpam-6517	228	6	the	the	DET
ejpam-6517	228	7	system	system	NOUN
ejpam-6517	228	8	solution	solution	NOUN
ejpam-6517	228	9	(	(	PUNCT
ejpam-6517	228	10	1	1	NUM
ejpam-6517	228	11	)	)	PUNCT
ejpam-6517	228	12	,	,	PUNCT
ejpam-6517	228	13	or	or	CCONJ
ejpam-6517	228	14	equivalently	equivalently	ADV
ejpam-6517	228	15	(	(	PUNCT
ejpam-6517	228	16	4	4	NUM
ejpam-6517	228	17	)	)	PUNCT
ejpam-6517	228	18	,	,	PUNCT
ejpam-6517	228	19	is	be	AUX
ejpam-6517	228	20	bounded	bound	VERB
ejpam-6517	228	21	and	and	CCONJ
ejpam-6517	228	22	nonnegative	nonnegative	ADJ
ejpam-6517	228	23	.	.	PUNCT
ejpam-6517	229	1	since	since	SCONJ
ejpam-6517	229	2	the	the	DET
ejpam-6517	229	3	values	value	NOUN
ejpam-6517	229	4	of	of	ADP
ejpam-6517	229	5	a	a	DET
ejpam-6517	229	6	realistic	realistic	ADJ
ejpam-6517	229	7	solution	solution	NOUN
ejpam-6517	229	8	may	may	AUX
ejpam-6517	229	9	be	be	AUX
ejpam-6517	229	10	determined	determine	VERB
ejpam-6517	229	11	by	by	ADP
ejpam-6517	229	12	gathering	gather	VERB
ejpam-6517	229	13	data	datum	NOUN
ejpam-6517	229	14	,	,	PUNCT
ejpam-6517	229	15	it	it	PRON
ejpam-6517	229	16	is	be	AUX
ejpam-6517	229	17	physically	physically	ADV
ejpam-6517	229	18	dependable	dependable	ADJ
ejpam-6517	229	19	.	.	PUNCT
ejpam-6517	230	1	theorem	theorem	NOUN
ejpam-6517	230	2	3	3	NUM
ejpam-6517	230	3	.	.	PUNCT
ejpam-6517	231	1	in	in	ADP
ejpam-6517	231	2	r6	r6	PROPN
ejpam-6517	231	3	+	+	PROPN
ejpam-6517	231	4	,	,	PUNCT
ejpam-6517	231	5	the	the	DET
ejpam-6517	231	6	nonlinear	nonlinear	ADJ
ejpam-6517	231	7	system	system	NOUN
ejpam-6517	231	8	(	(	PUNCT
ejpam-6517	231	9	1	1	X
ejpam-6517	231	10	)	)	PUNCT
ejpam-6517	231	11	contains	contain	VERB
ejpam-6517	231	12	a	a	DET
ejpam-6517	231	13	global	global	ADJ
ejpam-6517	231	14	solution	solution	NOUN
ejpam-6517	231	15	(	(	PUNCT
ejpam-6517	231	16	s	s	X
ejpam-6517	231	17	,	,	PUNCT
ejpam-6517	231	18	v	v	NOUN
ejpam-6517	231	19	,	,	PUNCT
ejpam-6517	231	20	e	e	NOUN
ejpam-6517	231	21	,	,	PUNCT
ejpam-6517	231	22	i	i	PRON
ejpam-6517	231	23	,	,	PUNCT
ejpam-6517	231	24	t	t	PROPN
ejpam-6517	231	25	,	,	PUNCT
ejpam-6517	231	26	r	r	NOUN
ejpam-6517	231	27	)	)	PUNCT
ejpam-6517	231	28	for	for	ADP
ejpam-6517	231	29	any	any	DET
ejpam-6517	231	30	nonnegative	nonnegative	ADJ
ejpam-6517	231	31	initial	initial	ADJ
ejpam-6517	231	32	condition	condition	NOUN
ejpam-6517	231	33	.	.	PUNCT
ejpam-6517	232	1	all	all	DET
ejpam-6517	232	2	solutions	solution	NOUN
ejpam-6517	232	3	that	that	PRON
ejpam-6517	232	4	begin	begin	VERB
ejpam-6517	232	5	with	with	ADP
ejpam-6517	232	6	that	that	DET
ejpam-6517	232	7	starting	start	VERB
ejpam-6517	232	8	data	datum	NOUN
ejpam-6517	232	9	will	will	AUX
ejpam-6517	232	10	therefore	therefore	ADV
ejpam-6517	232	11	continue	continue	VERB
ejpam-6517	232	12	to	to	PART
ejpam-6517	232	13	be	be	AUX
ejpam-6517	232	14	advantageous	advantageous	ADJ
ejpam-6517	232	15	for	for	ADP
ejpam-6517	232	16	any	any	DET
ejpam-6517	232	17	t	t	PROPN
ejpam-6517	232	18	≥	≥	NOUN
ejpam-6517	232	19	0	0	NUM
ejpam-6517	232	20	.	.	PUNCT
ejpam-6517	233	1	proof	proof	NOUN
ejpam-6517	233	2	.	.	PUNCT
ejpam-6517	234	1	suppose	suppose	VERB
ejpam-6517	234	2	t̄	t̄	PROPN
ejpam-6517	234	3	=	=	PUNCT
ejpam-6517	234	4	sup{t	sup{t	PROPN
ejpam-6517	234	5	≥	≥	NOUN
ejpam-6517	234	6	0	0	NUM
ejpam-6517	234	7	:	:	PUNCT
ejpam-6517	234	8	s(t	s(t	PROPN
ejpam-6517	234	9	)	)	PUNCT
ejpam-6517	234	10	≥	≥	NOUN
ejpam-6517	234	11	0,p(t	0,p(t	NUM
ejpam-6517	234	12	)	)	PUNCT
ejpam-6517	234	13	≥	≥	NOUN
ejpam-6517	234	14	0	0	NUM
ejpam-6517	234	15	,	,	PUNCT
ejpam-6517	234	16	i(t	i(t	PROPN
ejpam-6517	234	17	)	)	PUNCT
ejpam-6517	234	18	≥	≥	NOUN
ejpam-6517	234	19	0,t(t	0,t(t	NUM
ejpam-6517	234	20	)	)	PUNCT
ejpam-6517	234	21	≥	≥	NOUN
ejpam-6517	234	22	0,r(t	0,r(t	NOUN
ejpam-6517	234	23	)	)	PUNCT
ejpam-6517	234	24	≥	≥	NOUN
ejpam-6517	234	25	0	0	NUM
ejpam-6517	234	26	}	}	PUNCT
ejpam-6517	234	27	,	,	PUNCT
ejpam-6517	234	28	clearly	clearly	ADV
ejpam-6517	234	29	t̄	t̄	PROPN
ejpam-6517	234	30	≥	≥	PROPN
ejpam-6517	234	31	0	0	NUM
ejpam-6517	234	32	.	.	PUNCT
ejpam-6517	235	1	the	the	DET
ejpam-6517	235	2	first	first	ADJ
ejpam-6517	235	3	equation	equation	NOUN
ejpam-6517	235	4	of	of	ADP
ejpam-6517	235	5	the	the	DET
ejpam-6517	235	6	system	system	NOUN
ejpam-6517	235	7	leads	lead	VERB
ejpam-6517	235	8	to	to	PART
ejpam-6517	235	9	ds(t	ds(t	VERB
ejpam-6517	235	10	)	)	PUNCT
ejpam-6517	235	11	dt	dt	PART
ejpam-6517	236	1	=	=	NUM
ejpam-6517	236	2	b+	b+	X
ejpam-6517	236	3	c1v−	c1v−	VERB
ejpam-6517	236	4	ksi	ksi	PROPN
ejpam-6517	236	5	m	m	PROPN
ejpam-6517	236	6	−	−	PROPN
ejpam-6517	236	7	µ0s−	µ0s−	X
ejpam-6517	236	8	c2s	c2s	PROPN
ejpam-6517	236	9	,	,	PUNCT
ejpam-6517	236	10	(	(	PUNCT
ejpam-6517	236	11	5	5	NUM
ejpam-6517	236	12	)	)	PUNCT
ejpam-6517	236	13	from	from	ADP
ejpam-6517	236	14	(	(	PUNCT
ejpam-6517	236	15	5	5	NUM
ejpam-6517	236	16	)	)	PUNCT
ejpam-6517	236	17	,	,	PUNCT
ejpam-6517	236	18	we	we	PRON
ejpam-6517	236	19	have	have	AUX
ejpam-6517	236	20	ds(t	ds(t	AUX
ejpam-6517	236	21	)	)	PUNCT
ejpam-6517	236	22	dt	dt	PUNCT
ejpam-6517	237	1	+	+	CCONJ
ejpam-6517	237	2	(	(	PUNCT
ejpam-6517	237	3	ki	ki	PROPN
ejpam-6517	237	4	m	m	PROPN
ejpam-6517	237	5	+	+	CCONJ
ejpam-6517	237	6	c2	c2	PROPN
ejpam-6517	237	7	+	+	CCONJ
ejpam-6517	237	8	µ0)s	µ0)s	PROPN
ejpam-6517	237	9	=	=	SYM
ejpam-6517	237	10	b+	b+	X
ejpam-6517	237	11	c1v	c1v	PROPN
ejpam-6517	237	12	,	,	PUNCT
ejpam-6517	237	13	(	(	PUNCT
ejpam-6517	237	14	6	6	NUM
ejpam-6517	237	15	)	)	PUNCT
ejpam-6517	237	16	now	now	ADV
ejpam-6517	237	17	,	,	PUNCT
ejpam-6517	237	18	put	put	VERB
ejpam-6517	237	19	b+	b+	ADP
ejpam-6517	237	20	c1v	c1v	NOUN
ejpam-6517	237	21	=	=	SYM
ejpam-6517	237	22	b1	b1	PROPN
ejpam-6517	237	23	in	in	ADP
ejpam-6517	237	24	(	(	PUNCT
ejpam-6517	237	25	6	6	NUM
ejpam-6517	237	26	)	)	PUNCT
ejpam-6517	237	27	,	,	PUNCT
ejpam-6517	237	28	implies	imply	VERB
ejpam-6517	237	29	that	that	SCONJ
ejpam-6517	237	30	ds(t	ds(t	VERB
ejpam-6517	237	31	)	)	PUNCT
ejpam-6517	237	32	dt	dt	NOUN
ejpam-6517	238	1	=	=	PUNCT
ejpam-6517	238	2	(	(	PUNCT
ejpam-6517	238	3	ki	ki	PROPN
ejpam-6517	238	4	m	m	PROPN
ejpam-6517	238	5	+	+	CCONJ
ejpam-6517	238	6	c2	c2	PROPN
ejpam-6517	238	7	+	+	CCONJ
ejpam-6517	238	8	µ0)s	µ0)s	ADJ
ejpam-6517	238	9	=	=	SYM
ejpam-6517	238	10	b1	b1	NOUN
ejpam-6517	238	11	.	.	PUNCT
ejpam-6517	239	1	(	(	PUNCT
ejpam-6517	239	2	7	7	X
ejpam-6517	239	3	)	)	PUNCT
ejpam-6517	239	4	take	take	VERB
ejpam-6517	239	5	left	left	ADJ
ejpam-6517	239	6	hand	hand	NOUN
ejpam-6517	239	7	of	of	ADP
ejpam-6517	239	8	(	(	PUNCT
ejpam-6517	239	9	7	7	NUM
ejpam-6517	239	10	)	)	PUNCT
ejpam-6517	239	11	,	,	PUNCT
ejpam-6517	239	12	as	as	ADP
ejpam-6517	239	13	ki	ki	PROPN
ejpam-6517	239	14	m	m	PROPN
ejpam-6517	239	15	+	+	PROPN
ejpam-6517	239	16	c2	c2	PROPN
ejpam-6517	239	17	+	+	CCONJ
ejpam-6517	239	18	µ0s	µ0s	PROPN
ejpam-6517	239	19	=	=	SYM
ejpam-6517	239	20	g(t	g(t	PROPN
ejpam-6517	239	21	)	)	PUNCT
ejpam-6517	239	22	,	,	PUNCT
ejpam-6517	239	23	so	so	SCONJ
ejpam-6517	239	24	we	we	PRON
ejpam-6517	239	25	have	have	AUX
ejpam-6517	239	26	ds(t	ds(t	VERB
ejpam-6517	239	27	)	)	PUNCT
ejpam-6517	239	28	dt	dt	PUNCT
ejpam-6517	240	1	+	+	CCONJ
ejpam-6517	240	2	g(t)s	g(t)s	PROPN
ejpam-6517	240	3	=	=	SYM
ejpam-6517	240	4	b1	b1	NOUN
ejpam-6517	240	5	,	,	PUNCT
ejpam-6517	240	6	by	by	ADP
ejpam-6517	240	7	integrating	integrate	VERB
ejpam-6517	240	8	factor	factor	NOUN
ejpam-6517	240	9	,	,	PUNCT
ejpam-6517	240	10	i.f	i.f	PROPN
ejpam-6517	240	11	=	=	SYM
ejpam-6517	240	12	e	e	PROPN
ejpam-6517	240	13	∫	∫	PROPN
ejpam-6517	240	14	t	t	PROPN
ejpam-6517	240	15	0	0	NUM
ejpam-6517	240	16	g(t)dt	g(t)dt	PROPN
ejpam-6517	240	17	=	=	SYM
ejpam-6517	240	18	e	e	PROPN
ejpam-6517	240	19	∫	∫	PROPN
ejpam-6517	240	20	t	t	PROPN
ejpam-6517	240	21	0	0	NUM
ejpam-6517	240	22	g(t	g(t	PROPN
ejpam-6517	240	23	)	)	PUNCT
ejpam-6517	241	1	dt	dt	PROPN
ejpam-6517	241	2	,	,	PUNCT
ejpam-6517	241	3	d	d	X
ejpam-6517	241	4	dt	dt	X
ejpam-6517	241	5	s(t)e	s(t)e	PROPN
ejpam-6517	241	6	∫	∫	PROPN
ejpam-6517	241	7	t	t	PROPN
ejpam-6517	241	8	0	0	NUM
ejpam-6517	241	9	g(t	g(t	PROPN
ejpam-6517	241	10	)	)	PUNCT
ejpam-6517	241	11	dt	dt	PUNCT
ejpam-6517	242	1	=	=	PUNCT
ejpam-6517	242	2	b1e	b1e	X
ejpam-6517	242	3	∫	∫	PROPN
ejpam-6517	242	4	t	t	PROPN
ejpam-6517	242	5	0	0	NUM
ejpam-6517	242	6	g(t	g(t	PROPN
ejpam-6517	242	7	)	)	PUNCT
ejpam-6517	242	8	dt	dt	PROPN
ejpam-6517	242	9	,	,	PUNCT
ejpam-6517	242	10	integrating	integrate	VERB
ejpam-6517	242	11	from	from	ADP
ejpam-6517	242	12	t	t	PROPN
ejpam-6517	242	13	=	=	SYM
ejpam-6517	242	14	t̄	t̄	PROPN
ejpam-6517	242	15	to	to	ADP
ejpam-6517	242	16	t	t	PROPN
ejpam-6517	242	17	=	=	SYM
ejpam-6517	242	18	0	0	NUM
ejpam-6517	242	19	,	,	PUNCT
ejpam-6517	242	20	and	and	CCONJ
ejpam-6517	242	21	multiply	multiply	ADV
ejpam-6517	242	22	e−	e−	PROPN
ejpam-6517	242	23	∫	∫	PROPN
ejpam-6517	242	24	t̄	t̄	NOUN
ejpam-6517	242	25	0	0	NUM
ejpam-6517	243	1	f(t	f(t	NOUN
ejpam-6517	243	2	)	)	PUNCT
ejpam-6517	244	1	dt	dt	NOUN
ejpam-6517	244	2	,	,	PUNCT
ejpam-6517	244	3	we	we	PRON
ejpam-6517	244	4	get	get	VERB
ejpam-6517	244	5	s(t̄)e−	s(t̄)e−	PROPN
ejpam-6517	244	6	∫	∫	PROPN
ejpam-6517	244	7	t̄	t̄	PROPN
ejpam-6517	244	8	0	0	NUM
ejpam-6517	245	1	f(t	f(t	NOUN
ejpam-6517	245	2	)	)	PUNCT
ejpam-6517	245	3	dt	dt	X
ejpam-6517	246	1	=	=	PUNCT
ejpam-6517	247	1	s(0)e−	s(0)e−	PROPN
ejpam-6517	247	2	∫	∫	PROPN
ejpam-6517	247	3	t̄	t̄	NOUN
ejpam-6517	247	4	0	0	NUM
ejpam-6517	247	5	f(t	f(t	NOUN
ejpam-6517	247	6	)	)	PUNCT
ejpam-6517	247	7	dt	dt	PUNCT
ejpam-6517	248	1	+	+	CCONJ
ejpam-6517	248	2	b1e	b1e	X
ejpam-6517	248	3	−	−	PROPN
ejpam-6517	248	4	∫	∫	PROPN
ejpam-6517	248	5	t̄	t̄	PROPN
ejpam-6517	248	6	0	0	NUM
ejpam-6517	249	1	f(t	f(t	PROPN
ejpam-6517	249	2	)	)	PUNCT
ejpam-6517	250	1	dt	dt	X
ejpam-6517	251	1	∫	∫	PROPN
ejpam-6517	251	2	t̄	t̄	PROPN
ejpam-6517	251	3	0	0	PUNCT
ejpam-6517	252	1	∣∣∣e∫	∣∣∣e∫	PROPN
ejpam-6517	252	2	y	y	PROPN
ejpam-6517	252	3	0	0	NUM
ejpam-6517	252	4	g(t	g(t	PROPN
ejpam-6517	252	5	)	)	PUNCT
ejpam-6517	252	6	dt	dt	X
ejpam-6517	252	7	∣∣∣	∣∣∣	X
ejpam-6517	253	1	dy	dy	X
ejpam-6517	253	2	.	.	PROPN
ejpam-6517	253	3	m.	m.	PROPN
ejpam-6517	253	4	mohiudin	mohiudin	PROPN
ejpam-6517	253	5	et	et	PROPN
ejpam-6517	253	6	al	al	PROPN
ejpam-6517	253	7	.	.	PUNCT
ejpam-6517	253	8	/	/	SYM
ejpam-6517	253	9	eur	eur	PROPN
ejpam-6517	253	10	.	.	PUNCT
ejpam-6517	254	1	j.	j.	PROPN
ejpam-6517	254	2	pure	pure	PROPN
ejpam-6517	254	3	appl	appl	PROPN
ejpam-6517	254	4	.	.	PROPN
ejpam-6517	254	5	math	math	PROPN
ejpam-6517	254	6	,	,	PUNCT
ejpam-6517	254	7	18	18	NUM
ejpam-6517	254	8	(	(	PUNCT
ejpam-6517	254	9	3	3	NUM
ejpam-6517	254	10	)	)	PUNCT
ejpam-6517	254	11	(	(	PUNCT
ejpam-6517	254	12	2025	2025	NUM
ejpam-6517	254	13	)	)	PUNCT
ejpam-6517	254	14	,	,	PUNCT
ejpam-6517	254	15	6517	6517	NUM
ejpam-6517	254	16	11	11	NUM
ejpam-6517	254	17	of	of	ADP
ejpam-6517	254	18	40	40	NUM
ejpam-6517	254	19	since	since	SCONJ
ejpam-6517	254	20	s(0	s(0	PROPN
ejpam-6517	254	21	)	)	PUNCT
ejpam-6517	254	22	≥	≥	NOUN
ejpam-6517	254	23	0	0	NUM
ejpam-6517	254	24	,	,	PUNCT
ejpam-6517	254	25	the	the	DET
ejpam-6517	254	26	sum	sum	NOUN
ejpam-6517	254	27	of	of	ADP
ejpam-6517	254	28	the	the	DET
ejpam-6517	254	29	positive	positive	ADJ
ejpam-6517	254	30	terms	term	NOUN
ejpam-6517	254	31	is	be	AUX
ejpam-6517	254	32	positive	positive	ADJ
ejpam-6517	254	33	,	,	PUNCT
ejpam-6517	254	34	hence	hence	ADV
ejpam-6517	254	35	s(t	s(t	PROPN
ejpam-6517	254	36	)	)	PUNCT
ejpam-6517	254	37	is	be	AUX
ejpam-6517	254	38	positive	positive	ADJ
ejpam-6517	254	39	.	.	PUNCT
ejpam-6517	255	1	similarly	similarly	ADV
ejpam-6517	255	2	v(t	v(t	NUM
ejpam-6517	255	3	)	)	PUNCT
ejpam-6517	255	4	,	,	PUNCT
ejpam-6517	255	5	e(t	e(t	NOUN
ejpam-6517	255	6	)	)	PUNCT
ejpam-6517	255	7	,	,	PUNCT
ejpam-6517	255	8	i(t	i(t	PROPN
ejpam-6517	255	9	)	)	PUNCT
ejpam-6517	255	10	,	,	PUNCT
ejpam-6517	255	11	t(t	t(t	NOUN
ejpam-6517	255	12	)	)	PUNCT
ejpam-6517	255	13	,	,	PUNCT
ejpam-6517	255	14	and	and	CCONJ
ejpam-6517	255	15	r(t	r(t	NOUN
ejpam-6517	255	16	)	)	PUNCT
ejpam-6517	255	17	for	for	ADP
ejpam-6517	255	18	any	any	DET
ejpam-6517	255	19	set	set	NOUN
ejpam-6517	255	20	of	of	ADP
ejpam-6517	255	21	nonnegative	nonnegative	ADJ
ejpam-6517	255	22	initial	initial	ADJ
ejpam-6517	255	23	conditions	condition	NOUN
ejpam-6517	255	24	used	use	VERB
ejpam-6517	255	25	in	in	ADP
ejpam-6517	255	26	r6	r6	NOUN
ejpam-6517	255	27	+	+	CCONJ
ejpam-6517	255	28	can	can	AUX
ejpam-6517	255	29	be	be	AUX
ejpam-6517	255	30	shown	show	VERB
ejpam-6517	255	31	to	to	PART
ejpam-6517	255	32	hold	hold	VERB
ejpam-6517	255	33	for	for	ADP
ejpam-6517	255	34	any	any	DET
ejpam-6517	255	35	t	t	PROPN
ejpam-6517	255	36	≥	≥	NOUN
ejpam-6517	255	37	0	0	NUM
ejpam-6517	255	38	.	.	PUNCT
ejpam-6517	256	1	moreover	moreover	ADV
ejpam-6517	256	2	,	,	PUNCT
ejpam-6517	256	3	the	the	DET
ejpam-6517	256	4	conclusion	conclusion	NOUN
ejpam-6517	256	5	remains	remain	VERB
ejpam-6517	256	6	x	x	X
ejpam-6517	256	7	=	=	SYM
ejpam-6517	256	8	0	0	NUM
ejpam-6517	256	9	for	for	ADP
ejpam-6517	256	10	all	all	DET
ejpam-6517	256	11	t	t	PROPN
ejpam-6517	256	12	≥	≥	NOUN
ejpam-6517	256	13	0	0	PUNCT
ejpam-6517	257	1	if	if	SCONJ
ejpam-6517	257	2	x0	x0	PROPN
ejpam-6517	257	3	=	=	SYM
ejpam-6517	257	4	0	0	X
ejpam-6517	257	5	.	.	X
ejpam-6517	258	1	r6	r6	PROPN
ejpam-6517	258	2	+	+	CCONJ
ejpam-6517	258	3	is	be	AUX
ejpam-6517	258	4	therefore	therefore	ADV
ejpam-6517	258	5	a	a	DET
ejpam-6517	258	6	positively	positively	ADV
ejpam-6517	258	7	invariant	invariant	ADJ
ejpam-6517	258	8	region	region	NOUN
ejpam-6517	258	9	.	.	PUNCT
ejpam-6517	259	1	which	which	PRON
ejpam-6517	259	2	follow	follow	VERB
ejpam-6517	259	3	the	the	DET
ejpam-6517	259	4	conclusion	conclusion	NOUN
ejpam-6517	259	5	.	.	PUNCT
ejpam-6517	260	1	theorem	theorem	ADJ
ejpam-6517	260	2	4	4	NUM
ejpam-6517	260	3	.	.	PUNCT
ejpam-6517	261	1	the	the	DET
ejpam-6517	261	2	theorems	theorem	NOUN
ejpam-6517	261	3	(	(	PUNCT
ejpam-6517	261	4	3.2	3.2	NUM
ejpam-6517	261	5	)	)	PUNCT
ejpam-6517	261	6	and	and	CCONJ
ejpam-6517	261	7	(	(	PUNCT
ejpam-6517	261	8	3.3	3.3	NUM
ejpam-6517	261	9	)	)	PUNCT
ejpam-6517	261	10	provide	provide	VERB
ejpam-6517	261	11	bounded	bounded	ADJ
ejpam-6517	261	12	solutions	solution	NOUN
ejpam-6517	261	13	to	to	ADP
ejpam-6517	261	14	the	the	DET
ejpam-6517	261	15	systems	system	NOUN
ejpam-6517	261	16	(	(	PUNCT
ejpam-6517	261	17	1	1	NUM
ejpam-6517	261	18	)	)	PUNCT
ejpam-6517	261	19	.	.	PUNCT
ejpam-6517	262	1	proof	proof	NOUN
ejpam-6517	262	2	.	.	PUNCT
ejpam-6517	263	1	the	the	DET
ejpam-6517	263	2	system	system	NOUN
ejpam-6517	263	3	(	(	PUNCT
ejpam-6517	263	4	1	1	X
ejpam-6517	263	5	)	)	PUNCT
ejpam-6517	263	6	has	have	VERB
ejpam-6517	263	7	positive	positive	ADJ
ejpam-6517	263	8	solution	solution	NOUN
ejpam-6517	263	9	using	use	VERB
ejpam-6517	263	10	initial	initial	ADJ
ejpam-6517	263	11	condition	condition	NOUN
ejpam-6517	263	12	,	,	PUNCT
ejpam-6517	263	13	s(0	s(0	PROPN
ejpam-6517	263	14	)	)	PUNCT
ejpam-6517	263	15	≥	≥	NOUN
ejpam-6517	263	16	0,v(0	0,v(0	NUM
ejpam-6517	263	17	)	)	PUNCT
ejpam-6517	263	18	≥	≥	NOUN
ejpam-6517	263	19	0,e(0	0,e(0	SYM
ejpam-6517	263	20	)	)	PUNCT
ejpam-6517	263	21	≥	≥	NOUN
ejpam-6517	263	22	0	0	NUM
ejpam-6517	263	23	,	,	PUNCT
ejpam-6517	263	24	i(0	i(0	PROPN
ejpam-6517	263	25	)	)	PUNCT
ejpam-6517	263	26	≥	≥	NOUN
ejpam-6517	263	27	0,t(0	0,t(0	NUM
ejpam-6517	263	28	)	)	PUNCT
ejpam-6517	263	29	≥	≥	NOUN
ejpam-6517	263	30	0,r(0	0,r(0	NUM
ejpam-6517	263	31	)	)	PUNCT
ejpam-6517	263	32	≥	≥	NOUN
ejpam-6517	263	33	0	0	NUM
ejpam-6517	263	34	.	.	PUNCT
ejpam-6517	263	35	to	to	PART
ejpam-6517	263	36	prove	prove	VERB
ejpam-6517	263	37	the	the	DET
ejpam-6517	263	38	bondness	bondness	NOUN
ejpam-6517	263	39	of	of	ADP
ejpam-6517	263	40	the	the	DET
ejpam-6517	263	41	solution	solution	NOUN
ejpam-6517	263	42	,	,	PUNCT
ejpam-6517	263	43	we	we	PRON
ejpam-6517	263	44	used	use	VERB
ejpam-6517	263	45	the	the	DET
ejpam-6517	263	46	total	total	ADJ
ejpam-6517	263	47	population	population	NOUN
ejpam-6517	263	48	m(t	m(t	NOUN
ejpam-6517	263	49	)	)	PUNCT
ejpam-6517	263	50	as	as	ADP
ejpam-6517	263	51	,	,	PUNCT
ejpam-6517	263	52	m(t	m(t	NOUN
ejpam-6517	263	53	)	)	PUNCT
ejpam-6517	263	54	=	=	SYM
ejpam-6517	263	55	s(t	s(t	PROPN
ejpam-6517	263	56	)	)	PUNCT
ejpam-6517	263	57	+	+	CCONJ
ejpam-6517	263	58	v(t	v(t	VERB
ejpam-6517	263	59	)	)	PUNCT
ejpam-6517	263	60	+	+	CCONJ
ejpam-6517	263	61	e(t),+i(t	e(t),+i(t	ADJ
ejpam-6517	263	62	)	)	PUNCT
ejpam-6517	263	63	+	+	NUM
ejpam-6517	263	64	t(t	t(t	NOUN
ejpam-6517	263	65	)	)	PUNCT
ejpam-6517	264	1	+	+	CCONJ
ejpam-6517	264	2	r(t	r(t	NOUN
ejpam-6517	264	3	)	)	PUNCT
ejpam-6517	264	4	differentiating	differentiate	VERB
ejpam-6517	264	5	m(t	m(t	NOUN
ejpam-6517	264	6	)	)	PUNCT
ejpam-6517	264	7	with	with	ADP
ejpam-6517	264	8	respect	respect	NOUN
ejpam-6517	264	9	to	to	ADP
ejpam-6517	264	10	t	t	NOUN
ejpam-6517	264	11	and	and	CCONJ
ejpam-6517	264	12	adding	add	VERB
ejpam-6517	264	13	the	the	DET
ejpam-6517	264	14	six	six	NUM
ejpam-6517	264	15	equation	equation	NOUN
ejpam-6517	264	16	from	from	ADP
ejpam-6517	264	17	system	system	NOUN
ejpam-6517	264	18	(	(	PUNCT
ejpam-6517	264	19	1	1	NUM
ejpam-6517	264	20	)	)	PUNCT
ejpam-6517	264	21	,	,	PUNCT
ejpam-6517	264	22	we	we	PRON
ejpam-6517	264	23	obtained	obtain	VERB
ejpam-6517	264	24	that	that	PRON
ejpam-6517	264	25	dm(t	dm(t	PUNCT
ejpam-6517	264	26	)	)	PUNCT
ejpam-6517	264	27	dt	dt	NOUN
ejpam-6517	265	1	=	=	SYM
ejpam-6517	265	2	b−	b−	PROPN
ejpam-6517	265	3	µ0m(t)−	µ0m(t)−	PROPN
ejpam-6517	265	4	d1i(t)−	d1i(t)−	PROPN
ejpam-6517	265	5	d2t(t	d2t(t	PROPN
ejpam-6517	265	6	)	)	PUNCT
ejpam-6517	265	7	.	.	PUNCT
ejpam-6517	266	1	this	this	PRON
ejpam-6517	266	2	implies	imply	VERB
ejpam-6517	266	3	that	that	SCONJ
ejpam-6517	266	4	dm(t	dm(t	VERB
ejpam-6517	266	5	)	)	PUNCT
ejpam-6517	266	6	dt	dt	ADP
ejpam-6517	266	7	≤	≤	NUM
ejpam-6517	266	8	b−	b−	PROPN
ejpam-6517	266	9	µ0m(t	µ0m(t	PROPN
ejpam-6517	266	10	)	)	PUNCT
ejpam-6517	266	11	.	.	PUNCT
ejpam-6517	267	1	by	by	ADP
ejpam-6517	267	2	integrating	integrate	VERB
ejpam-6517	267	3	,	,	PUNCT
ejpam-6517	267	4	we	we	PRON
ejpam-6517	267	5	get∣∣∣∣ln	get∣∣∣∣ln	VERB
ejpam-6517	267	6	(	(	PUNCT
ejpam-6517	267	7	b−	b−	PROPN
ejpam-6517	267	8	µ0m(t	µ0m(t	PROPN
ejpam-6517	267	9	)	)	PUNCT
ejpam-6517	267	10	b−	b−	PROPN
ejpam-6517	267	11	µ0m(0	µ0m(0	PROPN
ejpam-6517	267	12	)	)	PUNCT
ejpam-6517	267	13	)	)	PUNCT
ejpam-6517	268	1	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6517	268	2	≥	≥	NUM
ejpam-6517	268	3	−µ0	−µ0	PROPN
ejpam-6517	268	4	t	t	PROPN
ejpam-6517	268	5	,	,	PUNCT
ejpam-6517	268	6	simplify	simplify	NOUN
ejpam-6517	268	7	,	,	PUNCT
ejpam-6517	268	8	m(t	m(t	NOUN
ejpam-6517	268	9	)	)	PUNCT
ejpam-6517	268	10	≤	≤	NOUN
ejpam-6517	268	11	b	b	X
ejpam-6517	268	12	µ0	µ0	NOUN
ejpam-6517	268	13	+	+	X
ejpam-6517	268	14	(	(	PUNCT
ejpam-6517	268	15	m(0)−	m(0)−	PROPN
ejpam-6517	268	16	b	b	PROPN
ejpam-6517	268	17	µ0	µ0	PROPN
ejpam-6517	268	18	)	)	PUNCT
ejpam-6517	268	19	e−µ0	e−µ0	NOUN
ejpam-6517	268	20	t.	t.	NOUN
ejpam-6517	268	21	if	if	SCONJ
ejpam-6517	268	22	we	we	PRON
ejpam-6517	268	23	take	take	VERB
ejpam-6517	268	24	t	t	NOUN
ejpam-6517	268	25	=	=	NOUN
ejpam-6517	268	26	⇒	⇒	NOUN
ejpam-6517	268	27	∞	∞	PROPN
ejpam-6517	268	28	,	,	PUNCT
ejpam-6517	268	29	then	then	ADV
ejpam-6517	268	30	the	the	DET
ejpam-6517	268	31	factor	factor	NOUN
ejpam-6517	268	32	e−µ0	e−µ0	NOUN
ejpam-6517	268	33	t	t	NOUN
ejpam-6517	268	34	=	=	SYM
ejpam-6517	268	35	0	0	NUM
ejpam-6517	268	36	,	,	PUNCT
ejpam-6517	268	37	so	so	ADV
ejpam-6517	268	38	m(t	m(t	NOUN
ejpam-6517	268	39	)	)	PUNCT
ejpam-6517	268	40	≤	≤	NUM
ejpam-6517	268	41	b	b	X
ejpam-6517	268	42	µ0	µ0	NOUN
ejpam-6517	268	43	.	.	PUNCT
ejpam-6517	269	1	hence	hence	ADV
ejpam-6517	269	2	all	all	DET
ejpam-6517	269	3	solution	solution	NOUN
ejpam-6517	269	4	of	of	ADP
ejpam-6517	269	5	the	the	DET
ejpam-6517	269	6	model	model	NOUN
ejpam-6517	269	7	(	(	PUNCT
ejpam-6517	269	8	1	1	X
ejpam-6517	269	9	)	)	PUNCT
ejpam-6517	269	10	are	be	AUX
ejpam-6517	269	11	bounded	bound	VERB
ejpam-6517	269	12	in	in	ADP
ejpam-6517	269	13	the	the	DET
ejpam-6517	269	14	region	region	NOUN
ejpam-6517	269	15	ϕ.	ϕ.	PROPN
ejpam-6517	269	16	ϕ	ϕ	PROPN
ejpam-6517	270	1	=	=	PUNCT
ejpam-6517	270	2	{	{	PUNCT
ejpam-6517	270	3	(	(	PUNCT
ejpam-6517	270	4	s(t),v(t),e(t	s(t),v(t),e(t	NOUN
ejpam-6517	270	5	)	)	PUNCT
ejpam-6517	270	6	,	,	PUNCT
ejpam-6517	270	7	i(t),t(t),r(t	i(t),t(t),r(t	NOUN
ejpam-6517	270	8	)	)	PUNCT
ejpam-6517	270	9	)	)	PUNCT
ejpam-6517	271	1	∈	∈	PROPN
ejpam-6517	271	2	r6	r6	NOUN
ejpam-6517	271	3	+	+	CCONJ
ejpam-6517	271	4	∣∣	∣∣	PROPN
ejpam-6517	271	5	s(t	s(t	PROPN
ejpam-6517	271	6	)	)	PUNCT
ejpam-6517	271	7	+	+	CCONJ
ejpam-6517	271	8	v(t	v(t	VERB
ejpam-6517	271	9	)	)	PUNCT
ejpam-6517	271	10	+	+	SYM
ejpam-6517	271	11	e(t	e(t	NOUN
ejpam-6517	271	12	)	)	PUNCT
ejpam-6517	271	13	+	+	CCONJ
ejpam-6517	271	14	i(t	i(t	NOUN
ejpam-6517	271	15	)	)	PUNCT
ejpam-6517	271	16	+	+	NUM
ejpam-6517	271	17	t(t	t(t	NOUN
ejpam-6517	271	18	)	)	PUNCT
ejpam-6517	271	19	+	+	NUM
ejpam-6517	271	20	r(t	r(t	NOUN
ejpam-6517	271	21	)	)	PUNCT
ejpam-6517	271	22	≤	≤	NUM
ejpam-6517	271	23	b	b	X
ejpam-6517	271	24	µ0	µ0	PROPN
ejpam-6517	271	25	,	,	PUNCT
ejpam-6517	271	26	s(t),v(t),e(t	s(t),v(t),e(t	PROPN
ejpam-6517	271	27	)	)	PUNCT
ejpam-6517	271	28	,	,	PUNCT
ejpam-6517	271	29	i(t),t(t),r(t	i(t),t(t),r(t	NOUN
ejpam-6517	271	30	)	)	PUNCT
ejpam-6517	271	31	≥	≥	NOUN
ejpam-6517	271	32	0	0	NUM
ejpam-6517	271	33	}	}	PUNCT
ejpam-6517	271	34	as	as	ADP
ejpam-6517	271	35	m(t	m(t	NOUN
ejpam-6517	271	36	)	)	PUNCT
ejpam-6517	271	37	≤	≤	NUM
ejpam-6517	271	38	b	b	X
ejpam-6517	271	39	µ0	µ0	NOUN
ejpam-6517	271	40	,	,	PUNCT
ejpam-6517	271	41	when	when	SCONJ
ejpam-6517	271	42	time	time	NOUN
ejpam-6517	271	43	t	t	PROPN
ejpam-6517	271	44	approaches	approach	VERB
ejpam-6517	271	45	to	to	ADP
ejpam-6517	271	46	infinity	infinity	NOUN
ejpam-6517	271	47	.	.	PUNCT
ejpam-6517	272	1	consequently	consequently	ADV
ejpam-6517	272	2	,	,	PUNCT
ejpam-6517	272	3	ϕ	ϕ	PROPN
ejpam-6517	272	4	is	be	AUX
ejpam-6517	272	5	a	a	DET
ejpam-6517	272	6	positively	positively	ADV
ejpam-6517	272	7	invariant	invariant	ADJ
ejpam-6517	272	8	closed	close	VERB
ejpam-6517	272	9	set	set	NOUN
ejpam-6517	272	10	.	.	PUNCT
ejpam-6517	273	1	thus	thus	ADV
ejpam-6517	273	2	,	,	PUNCT
ejpam-6517	273	3	the	the	DET
ejpam-6517	273	4	proposed	propose	VERB
ejpam-6517	273	5	measle	measle	PROPN
ejpam-6517	273	6	model	model	NOUN
ejpam-6517	273	7	(	(	PUNCT
ejpam-6517	273	8	1	1	NUM
ejpam-6517	273	9	)	)	PUNCT
ejpam-6517	273	10	is	be	AUX
ejpam-6517	273	11	well	well	ADV
ejpam-6517	273	12	-	-	PUNCT
ejpam-6517	273	13	posed	pose	VERB
ejpam-6517	273	14	and	and	CCONJ
ejpam-6517	273	15	biologically	biologically	ADV
ejpam-6517	273	16	meaningful	meaningful	ADJ
ejpam-6517	273	17	since	since	SCONJ
ejpam-6517	273	18	all	all	PRON
ejpam-6517	273	19	of	of	ADP
ejpam-6517	273	20	its	its	PRON
ejpam-6517	273	21	solutions	solution	NOUN
ejpam-6517	273	22	are	be	AUX
ejpam-6517	273	23	positive	positive	ADJ
ejpam-6517	273	24	and	and	CCONJ
ejpam-6517	273	25	bounded	bound	VERB
ejpam-6517	273	26	.	.	PUNCT
ejpam-6517	274	1	disease	disease	PROPN
ejpam-6517	274	2	free	free	ADJ
ejpam-6517	274	3	equilibrium	equilibrium	NOUN
ejpam-6517	274	4	points	point	NOUN
ejpam-6517	274	5	:	:	PUNCT
ejpam-6517	274	6	in	in	ADP
ejpam-6517	274	7	this	this	DET
ejpam-6517	274	8	section	section	NOUN
ejpam-6517	274	9	,	,	PUNCT
ejpam-6517	274	10	we	we	PRON
ejpam-6517	274	11	find	find	VERB
ejpam-6517	274	12	the	the	DET
ejpam-6517	274	13	measle	measle	PROPN
ejpam-6517	274	14	free	free	PROPN
ejpam-6517	274	15	equilibrium	equilibrium	NOUN
ejpam-6517	274	16	points	point	NOUN
ejpam-6517	274	17	for	for	ADP
ejpam-6517	274	18	the	the	DET
ejpam-6517	274	19	system	system	NOUN
ejpam-6517	274	20	(	(	PUNCT
ejpam-6517	274	21	1	1	NUM
ejpam-6517	274	22	)	)	PUNCT
ejpam-6517	274	23	.	.	PUNCT
ejpam-6517	275	1	the	the	DET
ejpam-6517	275	2	sveitr	sveitr	ADJ
ejpam-6517	275	3	model	model	NOUN
ejpam-6517	275	4	(	(	PUNCT
ejpam-6517	275	5	1	1	X
ejpam-6517	275	6	)	)	PUNCT
ejpam-6517	275	7	has	have	VERB
ejpam-6517	275	8	a	a	DET
ejpam-6517	275	9	unique	unique	ADJ
ejpam-6517	275	10	measles	measle	NOUN
ejpam-6517	275	11	free	free	ADJ
ejpam-6517	275	12	equilibrium	equilibrium	NOUN
ejpam-6517	275	13	point	point	NOUN
ejpam-6517	275	14	that	that	PRON
ejpam-6517	275	15	is	be	AUX
ejpam-6517	275	16	given	give	VERB
ejpam-6517	275	17	as	as	ADP
ejpam-6517	275	18	,	,	PUNCT
ejpam-6517	275	19	x	x	NOUN
ejpam-6517	275	20	0	0	PUNCT
ejpam-6517	276	1	=	=	SYM
ejpam-6517	276	2	(	(	PUNCT
ejpam-6517	276	3	s0,v0e0	s0,v0e0	NOUN
ejpam-6517	276	4	,	,	PUNCT
ejpam-6517	276	5	i0,t0,r0	i0,t0,r0	NUM
ejpam-6517	276	6	)	)	PUNCT
ejpam-6517	276	7	=	=	SYM
ejpam-6517	276	8	(	(	PUNCT
ejpam-6517	276	9	s0,v0	s0,v0	PROPN
ejpam-6517	276	10	,	,	PUNCT
ejpam-6517	276	11	0	0	NUM
ejpam-6517	276	12	,	,	PUNCT
ejpam-6517	276	13	0	0	NUM
ejpam-6517	276	14	,	,	PUNCT
ejpam-6517	276	15	0	0	NUM
ejpam-6517	276	16	,	,	PUNCT
ejpam-6517	276	17	0	0	NUM
ejpam-6517	276	18	)	)	PUNCT
ejpam-6517	276	19	=	=	PRON
ejpam-6517	276	20	(	(	PUNCT
ejpam-6517	276	21	b(c1	b(c1	PROPN
ejpam-6517	276	22	+	+	ADJ
ejpam-6517	276	23	µ0	µ0	NUM
ejpam-6517	276	24	)	)	PUNCT
ejpam-6517	276	25	(	(	PUNCT
ejpam-6517	276	26	c2	c2	PROPN
ejpam-6517	276	27	+	+	NUM
ejpam-6517	276	28	µ0)(c1	µ0)(c1	X
ejpam-6517	276	29	+	+	CCONJ
ejpam-6517	276	30	µ0)−	µ0)−	ADJ
ejpam-6517	276	31	c1c2	c1c2	NOUN
ejpam-6517	276	32	,	,	PUNCT
ejpam-6517	276	33	bc2	bc2	VERB
ejpam-6517	276	34	(	(	PUNCT
ejpam-6517	276	35	c2	c2	PROPN
ejpam-6517	276	36	+	+	NUM
ejpam-6517	276	37	µ0)(c1	µ0)(c1	X
ejpam-6517	277	1	+	+	CCONJ
ejpam-6517	277	2	µ0)−	µ0)−	ADJ
ejpam-6517	277	3	c1c2	c1c2	ADJ
ejpam-6517	277	4	,	,	PUNCT
ejpam-6517	277	5	0	0	NUM
ejpam-6517	277	6	,	,	PUNCT
ejpam-6517	277	7	0	0	NUM
ejpam-6517	277	8	,	,	PUNCT
ejpam-6517	277	9	0	0	NUM
ejpam-6517	277	10	,	,	PUNCT
ejpam-6517	277	11	0	0	NUM
ejpam-6517	277	12	)	)	PUNCT
ejpam-6517	277	13	.	.	PUNCT
ejpam-6517	278	1	m.	m.	NOUN
ejpam-6517	278	2	mohiudin	mohiudin	PROPN
ejpam-6517	278	3	et	et	PROPN
ejpam-6517	278	4	al	al	PROPN
ejpam-6517	278	5	.	.	PUNCT
ejpam-6517	278	6	/	/	SYM
ejpam-6517	278	7	eur	eur	PROPN
ejpam-6517	278	8	.	.	PUNCT
ejpam-6517	279	1	j.	j.	PROPN
ejpam-6517	279	2	pure	pure	PROPN
ejpam-6517	279	3	appl	appl	PROPN
ejpam-6517	279	4	.	.	PROPN
ejpam-6517	279	5	math	math	PROPN
ejpam-6517	279	6	,	,	PUNCT
ejpam-6517	279	7	18	18	NUM
ejpam-6517	279	8	(	(	PUNCT
ejpam-6517	279	9	3	3	NUM
ejpam-6517	279	10	)	)	PUNCT
ejpam-6517	279	11	(	(	PUNCT
ejpam-6517	279	12	2025	2025	NUM
ejpam-6517	279	13	)	)	PUNCT
ejpam-6517	279	14	,	,	PUNCT
ejpam-6517	279	15	6517	6517	NUM
ejpam-6517	279	16	12	12	NUM
ejpam-6517	279	17	of	of	ADP
ejpam-6517	279	18	40	40	NUM
ejpam-6517	279	19	endemic	endemic	ADJ
ejpam-6517	279	20	equilibrium	equilibrium	NOUN
ejpam-6517	279	21	:	:	PUNCT
ejpam-6517	279	22	the	the	DET
ejpam-6517	279	23	unique	unique	ADJ
ejpam-6517	279	24	endemic	endemic	ADJ
ejpam-6517	279	25	equilibrium	equilibrium	NOUN
ejpam-6517	279	26	point	point	NOUN
ejpam-6517	279	27	f∗	f∗	NOUN
ejpam-6517	279	28	for	for	ADP
ejpam-6517	279	29	the	the	DET
ejpam-6517	279	30	model	model	NOUN
ejpam-6517	279	31	(	(	PUNCT
ejpam-6517	279	32	1	1	X
ejpam-6517	279	33	)	)	PUNCT
ejpam-6517	279	34	is	be	AUX
ejpam-6517	279	35	also	also	ADV
ejpam-6517	279	36	computed	compute	VERB
ejpam-6517	279	37	as	as	ADP
ejpam-6517	279	38	in	in	ADP
ejpam-6517	279	39	region	region	NOUN
ejpam-6517	279	40	ϕ	ϕ	PROPN
ejpam-6517	279	41	,	,	PUNCT
ejpam-6517	279	42	where	where	SCONJ
ejpam-6517	279	43	s∗(t	s∗(t	NOUN
ejpam-6517	279	44	)	)	PUNCT
ejpam-6517	279	45	=	=	SYM
ejpam-6517	279	46	b(c1	b(c1	NOUN
ejpam-6517	280	1	+	+	CCONJ
ejpam-6517	280	2	µ0)m∗	µ0)m∗	PROPN
ejpam-6517	280	3	(	(	PUNCT
ejpam-6517	280	4	ki∗	ki∗	PROPN
ejpam-6517	280	5	−	−	PROPN
ejpam-6517	280	6	(	(	PUNCT
ejpam-6517	280	7	c2	c2	PROPN
ejpam-6517	280	8	+	+	X
ejpam-6517	280	9	µ0)m∗)(c1	µ0)m∗)(c1	PUNCT
ejpam-6517	280	10	+	+	CCONJ
ejpam-6517	280	11	µ0)−	µ0)−	ADJ
ejpam-6517	280	12	c1c2m∗	c1c2m∗	X
ejpam-6517	280	13	,	,	PUNCT
ejpam-6517	280	14	v∗(t	v∗(t	PROPN
ejpam-6517	280	15	)	)	PUNCT
ejpam-6517	280	16	=	=	SYM
ejpam-6517	280	17	c2b(c1	c2b(c1	PROPN
ejpam-6517	280	18	+	+	CCONJ
ejpam-6517	280	19	µ0)m∗	µ0)m∗	PROPN
ejpam-6517	280	20	(	(	PUNCT
ejpam-6517	280	21	c1	c1	PROPN
ejpam-6517	280	22	+	+	CCONJ
ejpam-6517	280	23	µ0)[(ki∗	µ0)[(ki∗	ADJ
ejpam-6517	280	24	−	−	PROPN
ejpam-6517	280	25	(	(	PUNCT
ejpam-6517	280	26	c2	c2	PROPN
ejpam-6517	280	27	+	+	X
ejpam-6517	280	28	µ0)m∗)(c1	µ0)m∗)(c1	PUNCT
ejpam-6517	280	29	+	+	CCONJ
ejpam-6517	280	30	µ0)−	µ0)−	VERB
ejpam-6517	280	31	c1c2m∗	c1c2m∗	X
ejpam-6517	280	32	]	]	X
ejpam-6517	280	33	,	,	PUNCT
ejpam-6517	280	34	e∗(t	e∗(t	PROPN
ejpam-6517	280	35	)	)	PUNCT
ejpam-6517	280	36	=	=	SYM
ejpam-6517	280	37	kb(c1	kb(c1	PROPN
ejpam-6517	281	1	+	+	CCONJ
ejpam-6517	281	2	µ0)i∗	µ0)i∗	PROPN
ejpam-6517	281	3	(	(	PUNCT
ejpam-6517	281	4	α+	α+	PRON
ejpam-6517	281	5	r1	r1	PROPN
ejpam-6517	281	6	+	+	CCONJ
ejpam-6517	281	7	µ0)[(ki∗	µ0)[(ki∗	ADJ
ejpam-6517	281	8	−	−	PROPN
ejpam-6517	281	9	(	(	PUNCT
ejpam-6517	281	10	c2	c2	PROPN
ejpam-6517	281	11	+	+	X
ejpam-6517	281	12	µ0)m∗)(c1	µ0)m∗)(c1	PUNCT
ejpam-6517	281	13	+	+	CCONJ
ejpam-6517	281	14	µ0)−	µ0)−	ADJ
ejpam-6517	281	15	c1c2m∗]m∗	c1c2m∗]m∗	NOUN
ejpam-6517	281	16	,	,	PUNCT
ejpam-6517	281	17	i∗(t	i∗(t	PROPN
ejpam-6517	281	18	)	)	PUNCT
ejpam-6517	281	19	=	=	SYM
ejpam-6517	281	20	(	(	PUNCT
ejpam-6517	281	21	(	(	PUNCT
ejpam-6517	281	22	c2	c2	PROPN
ejpam-6517	281	23	+	+	NUM
ejpam-6517	281	24	µ0)(c1	µ0)(c1	X
ejpam-6517	281	25	+	+	SYM
ejpam-6517	281	26	µ0	µ0	NOUN
ejpam-6517	281	27	)	)	PUNCT
ejpam-6517	281	28	+	+	CCONJ
ejpam-6517	281	29	c1c2)m∗	c1c2)m∗	NOUN
ejpam-6517	281	30	k(c1	k(c1	NOUN
ejpam-6517	281	31	+	+	CCONJ
ejpam-6517	281	32	µ0	µ0	NOUN
ejpam-6517	281	33	+	+	CCONJ
ejpam-6517	281	34	αkb	αkb	NOUN
ejpam-6517	281	35	k(c2	k(c2	NOUN
ejpam-6517	281	36	+	+	CCONJ
ejpam-6517	281	37	d1	d1	PROPN
ejpam-6517	281	38	+	+	CCONJ
ejpam-6517	281	39	µ0)(α+	µ0)(α+	ADJ
ejpam-6517	281	40	r1	r1	NOUN
ejpam-6517	281	41	+	+	CCONJ
ejpam-6517	281	42	µ0)m∗	µ0)m∗	PROPN
ejpam-6517	281	43	,	,	PUNCT
ejpam-6517	281	44	t∗(t	t∗(t	PROPN
ejpam-6517	281	45	)	)	PUNCT
ejpam-6517	281	46	=	=	SYM
ejpam-6517	281	47	θi∗	θi∗	X
ejpam-6517	281	48	(	(	PUNCT
ejpam-6517	281	49	r2	r2	PROPN
ejpam-6517	281	50	+	+	CCONJ
ejpam-6517	281	51	d2	d2	PROPN
ejpam-6517	281	52	+	+	CCONJ
ejpam-6517	281	53	µ0	µ0	NOUN
ejpam-6517	281	54	)	)	PUNCT
ejpam-6517	281	55	,	,	PUNCT
ejpam-6517	281	56	r∗(t	r∗(t	NOUN
ejpam-6517	281	57	)	)	PUNCT
ejpam-6517	281	58	=	=	SYM
ejpam-6517	281	59	r2θi∗	r2θi∗	PROPN
ejpam-6517	281	60	µ0(r2	µ0(r2	ADP
ejpam-6517	281	61	+	+	X
ejpam-6517	281	62	d2	d2	PROPN
ejpam-6517	281	63	+	+	CCONJ
ejpam-6517	281	64	µ0	µ0	NOUN
ejpam-6517	281	65	)	)	PUNCT
ejpam-6517	281	66	+	+	CCONJ
ejpam-6517	281	67	r1kb(c1	r1kb(c1	NUM
ejpam-6517	281	68	+	+	NUM
ejpam-6517	281	69	µ0)i∗	µ0)i∗	PROPN
ejpam-6517	281	70	(	(	PUNCT
ejpam-6517	281	71	α+	α+	PRON
ejpam-6517	281	72	r1	r1	PROPN
ejpam-6517	281	73	+	+	CCONJ
ejpam-6517	281	74	µ0)[(ki∗	µ0)[(ki∗	ADJ
ejpam-6517	281	75	−	−	PROPN
ejpam-6517	281	76	(	(	PUNCT
ejpam-6517	281	77	c2	c2	PROPN
ejpam-6517	281	78	+	+	X
ejpam-6517	281	79	µ0)m∗)(c1	µ0)m∗)(c1	PUNCT
ejpam-6517	281	80	+	+	CCONJ
ejpam-6517	281	81	µ0)−	µ0)−	ADJ
ejpam-6517	281	82	c1c2m∗]m∗	c1c2m∗]m∗	NOUN
ejpam-6517	281	83	.	.	PUNCT
ejpam-6517	282	1	4	4	X
ejpam-6517	282	2	.	.	X
ejpam-6517	282	3	expression	expression	NOUN
ejpam-6517	282	4	for	for	ADP
ejpam-6517	282	5	r0	r0	NOUN
ejpam-6517	282	6	the	the	DET
ejpam-6517	282	7	basic	basic	ADJ
ejpam-6517	282	8	reproduction	reproduction	NOUN
ejpam-6517	282	9	number	number	NOUN
ejpam-6517	282	10	r0	r0	NOUN
ejpam-6517	282	11	is	be	AUX
ejpam-6517	282	12	determined	determine	VERB
ejpam-6517	282	13	by	by	ADP
ejpam-6517	282	14	analyzing	analyze	VERB
ejpam-6517	282	15	the	the	DET
ejpam-6517	282	16	next	next	ADJ
ejpam-6517	282	17	-	-	PUNCT
ejpam-6517	282	18	generation	generation	NOUN
ejpam-6517	282	19	procedure	procedure	NOUN
ejpam-6517	282	20	in	in	ADP
ejpam-6517	282	21	this	this	DET
ejpam-6517	282	22	section	section	NOUN
ejpam-6517	282	23	.	.	PUNCT
ejpam-6517	283	1	the	the	DET
ejpam-6517	283	2	basic	basic	ADJ
ejpam-6517	283	3	reproduction	reproduction	NOUN
ejpam-6517	283	4	number	number	NOUN
ejpam-6517	283	5	r0	r0	NOUN
ejpam-6517	283	6	is	be	AUX
ejpam-6517	283	7	a	a	DET
ejpam-6517	283	8	quantity	quantity	NOUN
ejpam-6517	283	9	used	use	VERB
ejpam-6517	283	10	in	in	ADP
ejpam-6517	283	11	epidemiology	epidemiology	NOUN
ejpam-6517	283	12	to	to	PART
ejpam-6517	283	13	describe	describe	VERB
ejpam-6517	283	14	how	how	SCONJ
ejpam-6517	283	15	illness	illness	NOUN
ejpam-6517	283	16	spreads	spread	NOUN
ejpam-6517	283	17	and	and	CCONJ
ejpam-6517	283	18	is	be	AUX
ejpam-6517	283	19	controlled	control	VERB
ejpam-6517	283	20	.	.	PUNCT
ejpam-6517	284	1	we	we	PRON
ejpam-6517	284	2	can	can	AUX
ejpam-6517	284	3	determine	determine	VERB
ejpam-6517	284	4	the	the	DET
ejpam-6517	284	5	extent	extent	NOUN
ejpam-6517	284	6	of	of	ADP
ejpam-6517	284	7	the	the	DET
ejpam-6517	284	8	disease	disease	NOUN
ejpam-6517	284	9	in	in	ADP
ejpam-6517	284	10	the	the	DET
ejpam-6517	284	11	population	population	NOUN
ejpam-6517	284	12	and	and	CCONJ
ejpam-6517	284	13	the	the	DET
ejpam-6517	284	14	best	good	ADJ
ejpam-6517	284	15	ways	way	NOUN
ejpam-6517	284	16	to	to	PART
ejpam-6517	284	17	protect	protect	VERB
ejpam-6517	284	18	community	community	NOUN
ejpam-6517	284	19	members	member	NOUN
ejpam-6517	284	20	from	from	ADP
ejpam-6517	284	21	this	this	DET
ejpam-6517	284	22	deadly	deadly	ADJ
ejpam-6517	284	23	virus	virus	NOUN
ejpam-6517	284	24	using	use	VERB
ejpam-6517	284	25	r0	r0	NOUN
ejpam-6517	284	26	.	.	PUNCT
ejpam-6517	285	1	the	the	DET
ejpam-6517	285	2	following	follow	VERB
ejpam-6517	285	3	r0	r0	NOUN
ejpam-6517	285	4	is	be	AUX
ejpam-6517	285	5	found	find	VERB
ejpam-6517	285	6	using	use	VERB
ejpam-6517	285	7	the	the	DET
ejpam-6517	285	8	next	next	ADJ
ejpam-6517	285	9	generation	generation	NOUN
ejpam-6517	285	10	method	method	NOUN
ejpam-6517	285	11	,	,	PUNCT
ejpam-6517	285	12	let	let	VERB
ejpam-6517	285	13	φ	φ	PROPN
ejpam-6517	285	14	=	=	SYM
ejpam-6517	285	15	(	(	PUNCT
ejpam-6517	285	16	f	f	X
ejpam-6517	285	17	,	,	PUNCT
ejpam-6517	285	18	e	e	PROPN
ejpam-6517	285	19	)	)	PUNCT
ejpam-6517	285	20	,	,	PUNCT
ejpam-6517	285	21	then	then	ADV
ejpam-6517	285	22	form	form	NOUN
ejpam-6517	285	23	system	system	NOUN
ejpam-6517	285	24	(	(	PUNCT
ejpam-6517	285	25	1	1	NUM
ejpam-6517	285	26	)	)	PUNCT
ejpam-6517	285	27	,	,	PUNCT
ejpam-6517	285	28	we	we	PRON
ejpam-6517	285	29	have	have	VERB
ejpam-6517	285	30	dφ	dφ	INTJ
ejpam-6517	285	31	dt	dt	NOUN
ejpam-6517	285	32	=	=	SYM
ejpam-6517	285	33	f(x)−	f(x)−	PROPN
ejpam-6517	285	34	e(x	e(x	NUM
ejpam-6517	285	35	)	)	PUNCT
ejpam-6517	285	36	here	here	ADV
ejpam-6517	285	37	we	we	PRON
ejpam-6517	285	38	have	have	VERB
ejpam-6517	285	39	f(x	f(x	PROPN
ejpam-6517	285	40	)	)	PUNCT
ejpam-6517	286	1	=	=	PUNCT
ejpam-6517	287	1			PROPN
ejpam-6517	287	2	ksi	ksi	PROPN
ejpam-6517	287	3	m	m	PROPN
ejpam-6517	287	4	0	0	NUM
ejpam-6517	287	5	0	0	NUM
ejpam-6517	287	6			PROPN
ejpam-6517	287	7	,	,	PUNCT
ejpam-6517	287	8	e(x	e(x	NUM
ejpam-6517	287	9	)	)	PUNCT
ejpam-6517	288	1	=	=	SYM
ejpam-6517	288	2			PROPN
ejpam-6517	288	3	(	(	PUNCT
ejpam-6517	288	4	α+	α+	PUNCT
ejpam-6517	288	5	r1	r1	NOUN
ejpam-6517	288	6	+	+	CCONJ
ejpam-6517	288	7	µ0)e	µ0)e	NOUN
ejpam-6517	288	8	(	(	PUNCT
ejpam-6517	288	9	θ	θ	NOUN
ejpam-6517	288	10	+	+	CCONJ
ejpam-6517	288	11	d1	d1	PROPN
ejpam-6517	288	12	+	+	CCONJ
ejpam-6517	288	13	µ0)i−	µ0)i−	ADJ
ejpam-6517	288	14	αe	αe	X
ejpam-6517	288	15	(	(	PUNCT
ejpam-6517	288	16	r2	r2	PROPN
ejpam-6517	288	17	+	+	CCONJ
ejpam-6517	288	18	d2	d2	PROPN
ejpam-6517	288	19	+	+	CCONJ
ejpam-6517	288	20	µ0)t−	µ0)t−	NUM
ejpam-6517	288	21	θi	θi	NOUN
ejpam-6517	288	22			PROPN
ejpam-6517	288	23	when	when	SCONJ
ejpam-6517	288	24	f	f	PROPN
ejpam-6517	288	25	and	and	CCONJ
ejpam-6517	288	26	e	e	PROPN
ejpam-6517	288	27	are	be	AUX
ejpam-6517	288	28	in	in	ADP
ejpam-6517	288	29	disease	disease	NOUN
ejpam-6517	288	30	-	-	PUNCT
ejpam-6517	288	31	free	free	ADJ
ejpam-6517	288	32	equilibrium	equilibrium	NOUN
ejpam-6517	288	33	,	,	PUNCT
ejpam-6517	288	34	their	their	PRON
ejpam-6517	288	35	jacobian	jacobian	NOUN
ejpam-6517	288	36	at	at	ADP
ejpam-6517	288	37	x	x	X
ejpam-6517	288	38	0	0	NUM
ejpam-6517	288	39	is	be	AUX
ejpam-6517	288	40	calculated	calculate	VERB
ejpam-6517	288	41	,	,	PUNCT
ejpam-6517	288	42	f(x	f(x	PROPN
ejpam-6517	288	43	)	)	PUNCT
ejpam-6517	289	1	=	=	PUNCT
ejpam-6517	290	1			PROPN
ejpam-6517	290	2	0	0	NUM
ejpam-6517	290	3	ks0	ks0	VERB
ejpam-6517	290	4	m0	m0	NOUN
ejpam-6517	290	5	0	0	NUM
ejpam-6517	290	6	0	0	NUM
ejpam-6517	290	7	0	0	NUM
ejpam-6517	290	8	0	0	NUM
ejpam-6517	290	9	0	0	NUM
ejpam-6517	290	10	0	0	NUM
ejpam-6517	290	11	0	0	NUM
ejpam-6517	291	1			PROPN
ejpam-6517	291	2	,	,	PUNCT
ejpam-6517	291	3	e(x	e(x	NUM
ejpam-6517	291	4	)	)	PUNCT
ejpam-6517	292	1	=	=	SYM
ejpam-6517	293	1			PROPN
ejpam-6517	293	2	(	(	PUNCT
ejpam-6517	293	3	α+	α+	PUNCT
ejpam-6517	293	4	r1	r1	PROPN
ejpam-6517	293	5	+	+	CCONJ
ejpam-6517	293	6	µ0	µ0	NUM
ejpam-6517	293	7	)	)	PUNCT
ejpam-6517	293	8	0	0	NUM
ejpam-6517	293	9	0	0	NUM
ejpam-6517	293	10	α	α	PRON
ejpam-6517	293	11	(	(	PUNCT
ejpam-6517	293	12	θ	θ	NOUN
ejpam-6517	293	13	+	+	CCONJ
ejpam-6517	293	14	d1	d1	PROPN
ejpam-6517	293	15	+	+	CCONJ
ejpam-6517	293	16	µ0	µ0	NOUN
ejpam-6517	293	17	)	)	PUNCT
ejpam-6517	293	18	0	0	NUM
ejpam-6517	293	19	0	0	NUM
ejpam-6517	293	20	θ	θ	NOUN
ejpam-6517	293	21	(	(	PUNCT
ejpam-6517	293	22	r2	r2	PROPN
ejpam-6517	293	23	+	+	CCONJ
ejpam-6517	293	24	d2	d2	PROPN
ejpam-6517	293	25	+	+	CCONJ
ejpam-6517	293	26	µ0	µ0	NOUN
ejpam-6517	293	27	)	)	PUNCT
ejpam-6517	293	28			PROPN
ejpam-6517	293	29	the	the	DET
ejpam-6517	293	30	basic	basic	ADJ
ejpam-6517	293	31	reproduction	reproduction	NOUN
ejpam-6517	293	32	number	number	NOUN
ejpam-6517	293	33	r0	r0	NOUN
ejpam-6517	293	34	,	,	PUNCT
ejpam-6517	293	35	is	be	AUX
ejpam-6517	293	36	calculated	calculate	VERB
ejpam-6517	293	37	as	as	ADP
ejpam-6517	293	38	,	,	PUNCT
ejpam-6517	293	39	r0	r0	NOUN
ejpam-6517	293	40	=	=	SYM
ejpam-6517	293	41	ρ(fv	ρ(fv	PROPN
ejpam-6517	293	42	−1)(x	−1)(x	NOUN
ejpam-6517	293	43	0	0	NUM
ejpam-6517	293	44	)	)	PUNCT
ejpam-6517	293	45	=	=	SYM
ejpam-6517	293	46	kα(c1	kα(c1	PROPN
ejpam-6517	293	47	+	+	SYM
ejpam-6517	293	48	µ0	µ0	NOUN
ejpam-6517	293	49	)	)	PUNCT
ejpam-6517	293	50	(	(	PUNCT
ejpam-6517	293	51	α+	α+	PUNCT
ejpam-6517	293	52	r1	r1	NOUN
ejpam-6517	293	53	+	+	CCONJ
ejpam-6517	293	54	µ0)(θ	µ0)(θ	PROPN
ejpam-6517	293	55	+	+	CCONJ
ejpam-6517	293	56	d1	d1	NOUN
ejpam-6517	293	57	+	+	CCONJ
ejpam-6517	293	58	µ0)(c1	µ0)(c1	X
ejpam-6517	294	1	+	+	CCONJ
ejpam-6517	294	2	c2	c2	PROPN
ejpam-6517	294	3	+	+	CCONJ
ejpam-6517	294	4	µ0	µ0	PROPN
ejpam-6517	294	5	)	)	PUNCT
ejpam-6517	294	6	m.	m.	NOUN
ejpam-6517	294	7	mohiudin	mohiudin	PROPN
ejpam-6517	294	8	et	et	PROPN
ejpam-6517	294	9	al	al	PROPN
ejpam-6517	294	10	.	.	PUNCT
ejpam-6517	294	11	/	/	SYM
ejpam-6517	294	12	eur	eur	PROPN
ejpam-6517	294	13	.	.	PUNCT
ejpam-6517	295	1	j.	j.	PROPN
ejpam-6517	295	2	pure	pure	PROPN
ejpam-6517	295	3	appl	appl	PROPN
ejpam-6517	295	4	.	.	PROPN
ejpam-6517	295	5	math	math	PROPN
ejpam-6517	295	6	,	,	PUNCT
ejpam-6517	295	7	18	18	NUM
ejpam-6517	295	8	(	(	PUNCT
ejpam-6517	295	9	3	3	NUM
ejpam-6517	295	10	)	)	PUNCT
ejpam-6517	295	11	(	(	PUNCT
ejpam-6517	295	12	2025	2025	NUM
ejpam-6517	295	13	)	)	PUNCT
ejpam-6517	295	14	,	,	PUNCT
ejpam-6517	295	15	6517	6517	NUM
ejpam-6517	295	16	13	13	NUM
ejpam-6517	295	17	of	of	ADP
ejpam-6517	295	18	40	40	NUM
ejpam-6517	295	19	here	here	ADV
ejpam-6517	295	20	,	,	PUNCT
ejpam-6517	295	21	we	we	PRON
ejpam-6517	295	22	arrive	arrive	VERB
ejpam-6517	295	23	to	to	ADP
ejpam-6517	295	24	the	the	DET
ejpam-6517	295	25	following	following	ADJ
ejpam-6517	295	26	conclusion	conclusion	NOUN
ejpam-6517	295	27	based	base	VERB
ejpam-6517	295	28	on	on	ADP
ejpam-6517	295	29	the	the	DET
ejpam-6517	295	30	basic	basic	ADJ
ejpam-6517	295	31	reproduction	reproduction	NOUN
ejpam-6517	295	32	number	number	NOUN
ejpam-6517	295	33	r0	r0	NOUN
ejpam-6517	295	34	.	.	PUNCT
ejpam-6517	296	1	5	5	X
ejpam-6517	296	2	.	.	X
ejpam-6517	296	3	stability	stability	NOUN
ejpam-6517	296	4	analysis	analysis	NOUN
ejpam-6517	296	5	of	of	ADP
ejpam-6517	296	6	dfe	dfe	PROPN
ejpam-6517	296	7	and	and	CCONJ
ejpam-6517	296	8	eep	eep	NOUN
ejpam-6517	296	9	of	of	ADP
ejpam-6517	296	10	model	model	NOUN
ejpam-6517	296	11	(	(	PUNCT
ejpam-6517	296	12	1	1	NUM
ejpam-6517	296	13	)	)	PUNCT
ejpam-6517	296	14	here	here	ADV
ejpam-6517	296	15	in	in	ADP
ejpam-6517	296	16	this	this	DET
ejpam-6517	296	17	part	part	NOUN
ejpam-6517	296	18	of	of	ADP
ejpam-6517	296	19	our	our	PRON
ejpam-6517	296	20	work	work	NOUN
ejpam-6517	296	21	consisted	consist	VERB
ejpam-6517	296	22	of	of	ADP
ejpam-6517	296	23	the	the	DET
ejpam-6517	296	24	stability	stability	NOUN
ejpam-6517	296	25	analysis	analysis	NOUN
ejpam-6517	296	26	of	of	ADP
ejpam-6517	296	27	the	the	DET
ejpam-6517	296	28	system	system	NOUN
ejpam-6517	296	29	(	(	PUNCT
ejpam-6517	296	30	1	1	NUM
ejpam-6517	296	31	)	)	PUNCT
ejpam-6517	296	32	.	.	PUNCT
ejpam-6517	297	1	furthermore	furthermore	ADV
ejpam-6517	297	2	,	,	PUNCT
ejpam-6517	297	3	this	this	DET
ejpam-6517	297	4	section	section	NOUN
ejpam-6517	297	5	is	be	AUX
ejpam-6517	297	6	divided	divide	VERB
ejpam-6517	297	7	into	into	ADP
ejpam-6517	297	8	two	two	NUM
ejpam-6517	297	9	subsections	subsection	NOUN
ejpam-6517	297	10	:	:	PUNCT
ejpam-6517	297	11	local	local	ADJ
ejpam-6517	297	12	stability	stability	NOUN
ejpam-6517	297	13	of	of	ADP
ejpam-6517	297	14	the	the	DET
ejpam-6517	297	15	model	model	NOUN
ejpam-6517	297	16	and	and	CCONJ
ejpam-6517	297	17	global	global	ADJ
ejpam-6517	297	18	stability	stability	NOUN
ejpam-6517	297	19	of	of	ADP
ejpam-6517	297	20	the	the	DET
ejpam-6517	297	21	model	model	NOUN
ejpam-6517	297	22	.	.	PUNCT
ejpam-6517	298	1	5.1	5.1	NUM
ejpam-6517	298	2	.	.	PUNCT
ejpam-6517	299	1	local	local	ADJ
ejpam-6517	299	2	stability	stability	NOUN
ejpam-6517	299	3	of	of	ADP
ejpam-6517	299	4	disease	disease	NOUN
ejpam-6517	299	5	free	free	ADJ
ejpam-6517	299	6	equilibrium	equilibrium	NOUN
ejpam-6517	299	7	(	(	PUNCT
ejpam-6517	299	8	dfe	dfe	PROPN
ejpam-6517	299	9	)	)	PUNCT
ejpam-6517	299	10	in	in	ADP
ejpam-6517	299	11	this	this	DET
ejpam-6517	299	12	section	section	NOUN
ejpam-6517	299	13	,	,	PUNCT
ejpam-6517	299	14	we	we	PRON
ejpam-6517	299	15	study	study	VERB
ejpam-6517	299	16	the	the	DET
ejpam-6517	299	17	local	local	ADJ
ejpam-6517	299	18	stability	stability	NOUN
ejpam-6517	299	19	of	of	ADP
ejpam-6517	299	20	the	the	DET
ejpam-6517	299	21	measles	measle	NOUN
ejpam-6517	299	22	model	model	NOUN
ejpam-6517	299	23	(	(	PUNCT
ejpam-6517	299	24	1	1	NUM
ejpam-6517	299	25	)	)	PUNCT
ejpam-6517	299	26	in	in	ADP
ejpam-6517	299	27	the	the	DET
ejpam-6517	299	28	next	next	ADJ
ejpam-6517	299	29	theorem	theorem	NOUN
ejpam-6517	299	30	by	by	ADP
ejpam-6517	299	31	using	use	VERB
ejpam-6517	299	32	the	the	DET
ejpam-6517	299	33	jacobian	jacobian	ADJ
ejpam-6517	299	34	matrix	matrix	NOUN
ejpam-6517	299	35	.	.	PUNCT
ejpam-6517	300	1	theorem	theorem	NOUN
ejpam-6517	300	2	5	5	NUM
ejpam-6517	300	3	.	.	PUNCT
ejpam-6517	301	1	“	"	PUNCT
ejpam-6517	301	2	if	if	SCONJ
ejpam-6517	301	3	r0	r0	VERB
ejpam-6517	301	4	≤	≤	NOUN
ejpam-6517	301	5	1	1	NUM
ejpam-6517	301	6	,	,	PUNCT
ejpam-6517	301	7	the	the	DET
ejpam-6517	301	8	dfe	dfe	PROPN
ejpam-6517	301	9	of	of	ADP
ejpam-6517	301	10	the	the	DET
ejpam-6517	301	11	system	system	NOUN
ejpam-6517	301	12	(	(	PUNCT
ejpam-6517	301	13	1	1	NUM
ejpam-6517	301	14	)	)	PUNCT
ejpam-6517	301	15	about	about	ADP
ejpam-6517	301	16	an	an	DET
ejpam-6517	301	17	equilibrium	equilibrium	NOUN
ejpam-6517	301	18	point	point	NOUN
ejpam-6517	301	19	f	f	PROPN
ejpam-6517	301	20	0	0	NUM
ejpam-6517	301	21	is	be	AUX
ejpam-6517	301	22	locally	locally	ADV
ejpam-6517	301	23	asymptotically	asymptotically	ADV
ejpam-6517	301	24	stable	stable	ADJ
ejpam-6517	301	25	(	(	PUNCT
ejpam-6517	301	26	las	las	NOUN
ejpam-6517	301	27	)	)	PUNCT
ejpam-6517	301	28	;	;	PUNCT
ejpam-6517	301	29	if	if	SCONJ
ejpam-6517	301	30	r0	r0	NOUN
ejpam-6517	301	31	≥	≥	NOUN
ejpam-6517	301	32	1	1	NUM
ejpam-6517	301	33	,	,	PUNCT
ejpam-6517	301	34	it	it	PRON
ejpam-6517	301	35	is	be	AUX
ejpam-6517	301	36	unstable	unstable	ADJ
ejpam-6517	301	37	.	.	PUNCT
ejpam-6517	302	1	proof	proof	NOUN
ejpam-6517	302	2	.	.	PUNCT
ejpam-6517	303	1	the	the	DET
ejpam-6517	303	2	jacobian	jacobian	ADJ
ejpam-6517	303	3	matrix	matrix	NOUN
ejpam-6517	303	4	at	at	ADP
ejpam-6517	303	5	j0	j0	PROPN
ejpam-6517	303	6	is	be	AUX
ejpam-6517	303	7	given	give	VERB
ejpam-6517	303	8	below	below	ADP
ejpam-6517	303	9	j(f	j(f	PROPN
ejpam-6517	303	10	0	0	NUM
ejpam-6517	303	11	)	)	PUNCT
ejpam-6517	303	12	=	=	NOUN
ejpam-6517	303	13			ADJ
ejpam-6517	303	14	−(c2	−(c2	NUM
ejpam-6517	303	15	+	+	SYM
ejpam-6517	303	16	µ0	µ0	NOUN
ejpam-6517	303	17	)	)	PUNCT
ejpam-6517	303	18	c1	c1	NOUN
ejpam-6517	303	19	0	0	NUM
ejpam-6517	304	1	−kµ0	−kµ0	PROPN
ejpam-6517	304	2	(	(	PUNCT
ejpam-6517	304	3	c2+µ0)(c1+µ0)−c1c2	c2+µ0)(c1+µ0)−c1c2	ADJ
ejpam-6517	304	4	0	0	NUM
ejpam-6517	304	5	0	0	NUM
ejpam-6517	304	6	c2	c2	PROPN
ejpam-6517	304	7	−(c1	−(c1	PRON
ejpam-6517	304	8	+	+	SYM
ejpam-6517	304	9	µ0	µ0	NOUN
ejpam-6517	304	10	)	)	PUNCT
ejpam-6517	304	11	0	0	NUM
ejpam-6517	304	12	0	0	NUM
ejpam-6517	304	13	0	0	NUM
ejpam-6517	304	14	0	0	NUM
ejpam-6517	304	15	0	0	NUM
ejpam-6517	304	16	0	0	NUM
ejpam-6517	305	1	−(α+	−(α+	NUM
ejpam-6517	305	2	r1	r1	PROPN
ejpam-6517	305	3	+	+	CCONJ
ejpam-6517	305	4	µ0	µ0	PROPN
ejpam-6517	305	5	)	)	PUNCT
ejpam-6517	305	6	kµ0	kµ0	NOUN
ejpam-6517	305	7	(	(	PUNCT
ejpam-6517	305	8	c2+µ0)(c1+µ0)−c1c2	c2+µ0)(c1+µ0)−c1c2	NOUN
ejpam-6517	305	9	0	0	NUM
ejpam-6517	305	10	0	0	NUM
ejpam-6517	305	11	0	0	NUM
ejpam-6517	305	12	0	0	NUM
ejpam-6517	306	1	α	α	PRON
ejpam-6517	306	2	−(θ	−(θ	NOUN
ejpam-6517	306	3	+	+	CCONJ
ejpam-6517	306	4	d1	d1	PROPN
ejpam-6517	306	5	+	+	CCONJ
ejpam-6517	306	6	µ0	µ0	NOUN
ejpam-6517	306	7	)	)	PUNCT
ejpam-6517	306	8	0	0	NUM
ejpam-6517	306	9	0	0	NUM
ejpam-6517	306	10	0	0	NUM
ejpam-6517	306	11	0	0	NUM
ejpam-6517	306	12	0	0	NUM
ejpam-6517	306	13	θ	θ	NOUN
ejpam-6517	306	14	−(r2	−(r2	NOUN
ejpam-6517	306	15	+	+	CCONJ
ejpam-6517	306	16	d2	d2	PROPN
ejpam-6517	306	17	+	+	CCONJ
ejpam-6517	306	18	µ0	µ0	NOUN
ejpam-6517	306	19	)	)	PUNCT
ejpam-6517	306	20	0	0	NUM
ejpam-6517	306	21	0	0	NUM
ejpam-6517	306	22	0	0	NUM
ejpam-6517	306	23	r1	r1	NOUN
ejpam-6517	306	24	0	0	NUM
ejpam-6517	306	25	r2	r2	PROPN
ejpam-6517	306	26	−µ0	−µ0	PROPN
ejpam-6517	306	27			VERB
ejpam-6517	306	28	.	.	PUNCT
ejpam-6517	307	1	the	the	DET
ejpam-6517	307	2	local	local	ADJ
ejpam-6517	307	3	stability	stability	NOUN
ejpam-6517	307	4	criteria	criterion	NOUN
ejpam-6517	307	5	of	of	ADP
ejpam-6517	307	6	meals	meal	NOUN
ejpam-6517	307	7	-	-	PUNCT
ejpam-6517	307	8	free	free	ADJ
ejpam-6517	307	9	equilibrium	equilibrium	NOUN
ejpam-6517	307	10	are	be	AUX
ejpam-6517	307	11	ascertained	ascertain	VERB
ejpam-6517	307	12	by	by	ADP
ejpam-6517	307	13	analyzing	analyze	VERB
ejpam-6517	307	14	the	the	DET
ejpam-6517	307	15	eigenvalues	eigenvalue	NOUN
ejpam-6517	307	16	of	of	ADP
ejpam-6517	307	17	the	the	DET
ejpam-6517	307	18	jacobian	jacobian	ADJ
ejpam-6517	307	19	matrix	matrix	NOUN
ejpam-6517	307	20	of	of	ADP
ejpam-6517	307	21	the	the	DET
ejpam-6517	307	22	system	system	NOUN
ejpam-6517	307	23	(	(	PUNCT
ejpam-6517	307	24	1	1	NUM
ejpam-6517	307	25	)	)	PUNCT
ejpam-6517	307	26	from	from	ADP
ejpam-6517	307	27	columns	column	NOUN
ejpam-6517	307	28	c6	c6	PROPN
ejpam-6517	307	29	and	and	CCONJ
ejpam-6517	307	30	c5	c5	PROPN
ejpam-6517	307	31	,	,	PUNCT
ejpam-6517	307	32	we	we	PRON
ejpam-6517	307	33	determine	determine	VERB
ejpam-6517	307	34	two	two	NUM
ejpam-6517	307	35	eigenvalues	eigenvalue	NOUN
ejpam-6517	307	36	for	for	ADP
ejpam-6517	307	37	direct	direct	ADJ
ejpam-6517	307	38	expansion	expansion	NOUN
ejpam-6517	307	39	,	,	PUNCT
ejpam-6517	307	40	and	and	CCONJ
ejpam-6517	307	41	the	the	DET
ejpam-6517	307	42	required	require	VERB
ejpam-6517	307	43	eigenvalue	eigenvalue	NOUN
ejpam-6517	307	44	is	be	AUX
ejpam-6517	307	45	given	give	VERB
ejpam-6517	307	46	as	as	ADP
ejpam-6517	307	47	:	:	PUNCT
ejpam-6517	307	48	λ1	λ1	PROPN
ejpam-6517	307	49	=	=	SYM
ejpam-6517	307	50	−µ0	−µ0	PROPN
ejpam-6517	307	51	,	,	PUNCT
ejpam-6517	307	52	λ2	λ2	NOUN
ejpam-6517	307	53	=	=	SYM
ejpam-6517	307	54	−(r2	−(r2	PRON
ejpam-6517	307	55	+	+	X
ejpam-6517	307	56	d2	d2	PROPN
ejpam-6517	307	57	+	+	CCONJ
ejpam-6517	307	58	µ0	µ0	NOUN
ejpam-6517	307	59	)	)	PUNCT
ejpam-6517	307	60	,	,	PUNCT
ejpam-6517	307	61	(	(	PUNCT
ejpam-6517	307	62	8)	8)	NUM
ejpam-6517	307	63	and	and	CCONJ
ejpam-6517	307	64	the	the	DET
ejpam-6517	307	65	jacobian	jacobian	ADJ
ejpam-6517	307	66	matrix	matrix	NOUN
ejpam-6517	307	67	is	be	AUX
ejpam-6517	307	68	reduced	reduce	VERB
ejpam-6517	307	69	to	to	ADP
ejpam-6517	307	70	4x4	4x4	NUM
ejpam-6517	307	71	matrix	matrix	NOUN
ejpam-6517	307	72	as	as	ADP
ejpam-6517	307	73	,	,	PUNCT
ejpam-6517	307	74	j(f	j(f	PROPN
ejpam-6517	307	75	0	0	NUM
ejpam-6517	307	76	)	)	PUNCT
ejpam-6517	308	1	=	=	SYM
ejpam-6517	308	2			ADJ
ejpam-6517	308	3	−(c2	−(c2	NUM
ejpam-6517	308	4	+	+	SYM
ejpam-6517	308	5	µ0	µ0	NOUN
ejpam-6517	308	6	)	)	PUNCT
ejpam-6517	308	7	c1	c1	NOUN
ejpam-6517	308	8	0	0	NUM
ejpam-6517	309	1	−kµ0	−kµ0	PROPN
ejpam-6517	309	2	(	(	PUNCT
ejpam-6517	309	3	c2+µ0)(c1+µ0)−c1c2	c2+µ0)(c1+µ0)−c1c2	ADJ
ejpam-6517	309	4	c2	c2	PROPN
ejpam-6517	309	5	−(c1	−(c1	PRON
ejpam-6517	309	6	+	+	SYM
ejpam-6517	309	7	µ0	µ0	NUM
ejpam-6517	309	8	)	)	PUNCT
ejpam-6517	309	9	0	0	NUM
ejpam-6517	309	10	0	0	NUM
ejpam-6517	309	11	0	0	NUM
ejpam-6517	309	12	0	0	NUM
ejpam-6517	310	1	−(α+	−(α+	NUM
ejpam-6517	310	2	r1	r1	PROPN
ejpam-6517	310	3	+	+	CCONJ
ejpam-6517	310	4	µ0	µ0	PROPN
ejpam-6517	310	5	)	)	PUNCT
ejpam-6517	310	6	kµ0	kµ0	NOUN
ejpam-6517	310	7	(	(	PUNCT
ejpam-6517	310	8	c2+µ0)(c1+µ0)−c1c2	c2+µ0)(c1+µ0)−c1c2	NOUN
ejpam-6517	310	9	0	0	NUM
ejpam-6517	310	10	0	0	NUM
ejpam-6517	311	1	α	α	NUM
ejpam-6517	312	1	−(θ	−(θ	NOUN
ejpam-6517	313	1	+	+	CCONJ
ejpam-6517	313	2	d1	d1	PROPN
ejpam-6517	313	3	+	+	CCONJ
ejpam-6517	313	4	µ0	µ0	NOUN
ejpam-6517	313	5	)	)	PUNCT
ejpam-6517	313	6			VERB
ejpam-6517	313	7	.	.	PUNCT
ejpam-6517	314	1	a	a	DET
ejpam-6517	314	2	characteristic	characteristic	ADJ
ejpam-6517	314	3	equation	equation	NOUN
ejpam-6517	314	4	of	of	ADP
ejpam-6517	314	5	this	this	DET
ejpam-6517	314	6	jacobian	jacobian	ADJ
ejpam-6517	314	7	matrix	matrix	NOUN
ejpam-6517	314	8	is	be	AUX
ejpam-6517	314	9	given	give	VERB
ejpam-6517	314	10	by	by	ADP
ejpam-6517	314	11	:	:	PUNCT
ejpam-6517	314	12	λ4	λ4	PROPN
ejpam-6517	314	13	+	+	CCONJ
ejpam-6517	314	14	a1λ	a1λ	PROPN
ejpam-6517	314	15	3	3	NUM
ejpam-6517	314	16	+	+	NUM
ejpam-6517	314	17	a2λ	a2λ	NOUN
ejpam-6517	314	18	2	2	NUM
ejpam-6517	314	19	+	+	CCONJ
ejpam-6517	314	20	a3λ+	a3λ+	NOUN
ejpam-6517	314	21	a4	a4	ADV
ejpam-6517	314	22	=	=	SYM
ejpam-6517	314	23	0	0	NUM
ejpam-6517	314	24	.	.	PUNCT
ejpam-6517	315	1	(	(	PUNCT
ejpam-6517	315	2	9	9	X
ejpam-6517	315	3	)	)	PUNCT
ejpam-6517	315	4	m.	m.	NOUN
ejpam-6517	315	5	mohiudin	mohiudin	PROPN
ejpam-6517	315	6	et	et	PROPN
ejpam-6517	315	7	al	al	PROPN
ejpam-6517	315	8	.	.	PUNCT
ejpam-6517	315	9	/	/	SYM
ejpam-6517	315	10	eur	eur	PROPN
ejpam-6517	315	11	.	.	PUNCT
ejpam-6517	316	1	j.	j.	PROPN
ejpam-6517	316	2	pure	pure	PROPN
ejpam-6517	316	3	appl	appl	PROPN
ejpam-6517	316	4	.	.	PROPN
ejpam-6517	316	5	math	math	PROPN
ejpam-6517	316	6	,	,	PUNCT
ejpam-6517	316	7	18	18	NUM
ejpam-6517	316	8	(	(	PUNCT
ejpam-6517	316	9	3	3	NUM
ejpam-6517	316	10	)	)	PUNCT
ejpam-6517	316	11	(	(	PUNCT
ejpam-6517	316	12	2025	2025	NUM
ejpam-6517	316	13	)	)	PUNCT
ejpam-6517	316	14	,	,	PUNCT
ejpam-6517	316	15	6517	6517	NUM
ejpam-6517	316	16	14	14	NUM
ejpam-6517	316	17	of	of	ADP
ejpam-6517	316	18	40	40	NUM
ejpam-6517	316	19	here	here	ADV
ejpam-6517	316	20	a1	a1	NOUN
ejpam-6517	316	21	=	=	PROPN
ejpam-6517	316	22	c2	c2	PROPN
ejpam-6517	316	23	+	+	CCONJ
ejpam-6517	316	24	c1	c1	PROPN
ejpam-6517	316	25	+	+	CCONJ
ejpam-6517	316	26	α+	α+	PUNCT
ejpam-6517	316	27	r1	r1	NOUN
ejpam-6517	316	28	+	+	NUM
ejpam-6517	316	29	θ	θ	PROPN
ejpam-6517	316	30	+	+	CCONJ
ejpam-6517	316	31	d1	d1	PROPN
ejpam-6517	316	32	+	+	CCONJ
ejpam-6517	316	33	4µ0	4µ0	NUM
ejpam-6517	316	34	,	,	PUNCT
ejpam-6517	316	35	a2	a2	PROPN
ejpam-6517	316	36	=	=	PRON
ejpam-6517	316	37	µ0(c2	µ0(c2	PROPN
ejpam-6517	316	38	+	+	X
ejpam-6517	316	39	c1	c1	PROPN
ejpam-6517	316	40	+	+	CCONJ
ejpam-6517	316	41	µ0	µ0	PROPN
ejpam-6517	316	42	)	)	PUNCT
ejpam-6517	316	43	(	(	PUNCT
ejpam-6517	316	44	α+	α+	PUNCT
ejpam-6517	316	45	r1	r1	NOUN
ejpam-6517	316	46	+	+	CCONJ
ejpam-6517	316	47	µ0)(θ	µ0)(θ	PROPN
ejpam-6517	316	48	+	+	CCONJ
ejpam-6517	316	49	d1	d1	PROPN
ejpam-6517	316	50	+	+	CCONJ
ejpam-6517	316	51	µ0	µ0	NOUN
ejpam-6517	316	52	)	)	PUNCT
ejpam-6517	317	1	+	+	CCONJ
ejpam-6517	317	2	(	(	PUNCT
ejpam-6517	317	3	c2	c2	PROPN
ejpam-6517	317	4	+	+	CCONJ
ejpam-6517	317	5	c1	c1	PROPN
ejpam-6517	317	6	+	+	CCONJ
ejpam-6517	317	7	2µ0)(α+	2µ0)(α+	NUM
ejpam-6517	317	8	r1	r1	NOUN
ejpam-6517	317	9	+	+	NUM
ejpam-6517	317	10	θ	θ	PROPN
ejpam-6517	317	11	+	+	CCONJ
ejpam-6517	317	12	d1	d1	PROPN
ejpam-6517	317	13	+	+	CCONJ
ejpam-6517	317	14	2µ0	2µ0	NUM
ejpam-6517	317	15	)	)	PUNCT
ejpam-6517	317	16	(	(	PUNCT
ejpam-6517	317	17	α+	α+	PUNCT
ejpam-6517	317	18	r1	r1	NOUN
ejpam-6517	317	19	+	+	CCONJ
ejpam-6517	317	20	µ0)(θ	µ0)(θ	PROPN
ejpam-6517	317	21	+	+	CCONJ
ejpam-6517	317	22	d1	d1	PROPN
ejpam-6517	317	23	+	+	CCONJ
ejpam-6517	317	24	µ0	µ0	NOUN
ejpam-6517	317	25	)	)	PUNCT
ejpam-6517	317	26	+	+	CCONJ
ejpam-6517	317	27	(	(	PUNCT
ejpam-6517	317	28	1−r0	1−r0	NUM
ejpam-6517	317	29	)	)	PUNCT
ejpam-6517	317	30	,	,	PUNCT
ejpam-6517	317	31	a3	a3	NOUN
ejpam-6517	317	32	=	=	PUNCT
ejpam-6517	318	1	µ0(α+	µ0(α+	PROPN
ejpam-6517	318	2	r1	r1	NOUN
ejpam-6517	318	3	+	+	CCONJ
ejpam-6517	318	4	d1	d1	PROPN
ejpam-6517	318	5	+	+	CCONJ
ejpam-6517	318	6	2µ0)(c2	2µ0)(c2	NUM
ejpam-6517	318	7	+	+	CCONJ
ejpam-6517	318	8	c1	c1	NOUN
ejpam-6517	318	9	+	+	CCONJ
ejpam-6517	318	10	µ0	µ0	NUM
ejpam-6517	318	11	)	)	PUNCT
ejpam-6517	318	12	(	(	PUNCT
ejpam-6517	318	13	c2	c2	PROPN
ejpam-6517	318	14	+	+	CCONJ
ejpam-6517	318	15	c1	c1	PROPN
ejpam-6517	318	16	+	+	CCONJ
ejpam-6517	318	17	2µ0)(α+	2µ0)(α+	NUM
ejpam-6517	318	18	r1	r1	NOUN
ejpam-6517	318	19	+	+	CCONJ
ejpam-6517	318	20	µ0)(θ	µ0)(θ	PROPN
ejpam-6517	318	21	+	+	CCONJ
ejpam-6517	318	22	d1	d1	PROPN
ejpam-6517	318	23	+	+	CCONJ
ejpam-6517	318	24	µ0	µ0	NOUN
ejpam-6517	318	25	)	)	PUNCT
ejpam-6517	318	26	+	+	CCONJ
ejpam-6517	318	27	(	(	PUNCT
ejpam-6517	318	28	1−r0	1−r0	NUM
ejpam-6517	318	29	)	)	PUNCT
ejpam-6517	318	30	,	,	PUNCT
ejpam-6517	318	31	a4	a4	NOUN
ejpam-6517	318	32	=	=	PUNCT
ejpam-6517	318	33	µ0(c2	µ0(c2	PROPN
ejpam-6517	318	34	+	+	X
ejpam-6517	318	35	c1	c1	NOUN
ejpam-6517	318	36	+	+	CCONJ
ejpam-6517	318	37	µ0)(α+	µ0)(α+	PROPN
ejpam-6517	318	38	r1	r1	NOUN
ejpam-6517	318	39	+	+	CCONJ
ejpam-6517	318	40	µ0)(θ	µ0)(θ	PROPN
ejpam-6517	318	41	+	+	CCONJ
ejpam-6517	318	42	d1	d1	PROPN
ejpam-6517	318	43	+	+	CCONJ
ejpam-6517	318	44	µ0)(1−r0	µ0)(1−r0	PROPN
ejpam-6517	318	45	)	)	PUNCT
ejpam-6517	318	46	.	.	PUNCT
ejpam-6517	319	1	(	(	PUNCT
ejpam-6517	319	2	10	10	NUM
ejpam-6517	319	3	)	)	PUNCT
ejpam-6517	319	4	using	use	VERB
ejpam-6517	319	5	the	the	DET
ejpam-6517	319	6	routh	routh	PROPN
ejpam-6517	319	7	-	-	PUNCT
ejpam-6517	319	8	hurwitz	hurwitz	PROPN
ejpam-6517	319	9	condition	condition	NOUN
ejpam-6517	319	10	,	,	PUNCT
ejpam-6517	319	11	a1a2a3	a1a2a3	VERB
ejpam-6517	319	12	>	>	X
ejpam-6517	319	13	a23	a23	PROPN
ejpam-6517	319	14	+	+	X
ejpam-6517	319	15	a21a4	a21a4	PROPN
ejpam-6517	319	16	.	.	PUNCT
ejpam-6517	320	1	hence	hence	ADV
ejpam-6517	320	2	our	our	PRON
ejpam-6517	320	3	conclusion	conclusion	NOUN
ejpam-6517	320	4	is	be	AUX
ejpam-6517	320	5	gained	gain	VERB
ejpam-6517	320	6	as	as	ADP
ejpam-6517	320	7	λ1	λ1	PROPN
ejpam-6517	320	8	=	=	SYM
ejpam-6517	320	9	−µ0	−µ0	PROPN
ejpam-6517	320	10	<	<	X
ejpam-6517	320	11	0	0	PUNCT
ejpam-6517	320	12	and	and	CCONJ
ejpam-6517	320	13	λ2	λ2	PROPN
ejpam-6517	320	14	=	=	SYM
ejpam-6517	320	15	−(r2	−(r2	PRON
ejpam-6517	320	16	+	+	CCONJ
ejpam-6517	320	17	d2	d2	PROPN
ejpam-6517	320	18	+	+	CCONJ
ejpam-6517	320	19	µ0	µ0	NUM
ejpam-6517	320	20	)	)	PUNCT
ejpam-6517	320	21	<	<	X
ejpam-6517	320	22	0	0	X
ejpam-6517	320	23	.	.	PUNCT
ejpam-6517	321	1	also	also	ADV
ejpam-6517	321	2	the	the	DET
ejpam-6517	321	3	condition	condition	NOUN
ejpam-6517	321	4	a1a2a3	a1a2a3	VERB
ejpam-6517	321	5	>	>	X
ejpam-6517	321	6	a23	a23	PROPN
ejpam-6517	322	1	+	+	CCONJ
ejpam-6517	322	2	a21a4	a21a4	PROPN
ejpam-6517	322	3	is	be	AUX
ejpam-6517	322	4	hold	hold	NOUN
ejpam-6517	322	5	from	from	ADP
ejpam-6517	322	6	(	(	PUNCT
ejpam-6517	322	7	9	9	NUM
ejpam-6517	322	8	)	)	PUNCT
ejpam-6517	322	9	.	.	PUNCT
ejpam-6517	323	1	5.2	5.2	NUM
ejpam-6517	323	2	.	.	PUNCT
ejpam-6517	324	1	global	global	ADJ
ejpam-6517	324	2	stability	stability	NOUN
ejpam-6517	324	3	of	of	ADP
ejpam-6517	324	4	disease	disease	NOUN
ejpam-6517	324	5	free	free	ADJ
ejpam-6517	324	6	equilibrium	equilibrium	NOUN
ejpam-6517	324	7	(	(	PUNCT
ejpam-6517	324	8	dfe	dfe	PROPN
ejpam-6517	324	9	)	)	PUNCT
ejpam-6517	324	10	global	global	ADJ
ejpam-6517	324	11	stability	stability	NOUN
ejpam-6517	324	12	of	of	ADP
ejpam-6517	324	13	the	the	DET
ejpam-6517	324	14	model	model	NOUN
ejpam-6517	324	15	(	(	PUNCT
ejpam-6517	324	16	1	1	X
ejpam-6517	324	17	)	)	PUNCT
ejpam-6517	324	18	is	be	AUX
ejpam-6517	324	19	investigated	investigate	VERB
ejpam-6517	324	20	by	by	ADP
ejpam-6517	324	21	the	the	DET
ejpam-6517	324	22	following	follow	VERB
ejpam-6517	324	23	theorem	theorem	PROPN
ejpam-6517	324	24	.	.	PUNCT
ejpam-6517	324	25	theorem	theorem	NOUN
ejpam-6517	324	26	6	6	NUM
ejpam-6517	324	27	.	.	PUNCT
ejpam-6517	325	1	“	"	PUNCT
ejpam-6517	325	2	if	if	SCONJ
ejpam-6517	325	3	k5	k5	PROPN
ejpam-6517	325	4	≤	≤	PROPN
ejpam-6517	325	5	c2	c2	PROPN
ejpam-6517	325	6	and	and	CCONJ
ejpam-6517	325	7	r0	r0	VERB
ejpam-6517	325	8	≤	≤	NUM
ejpam-6517	325	9	1	1	NUM
ejpam-6517	325	10	,	,	PUNCT
ejpam-6517	325	11	the	the	DET
ejpam-6517	325	12	dfe	dfe	PROPN
ejpam-6517	325	13	of	of	ADP
ejpam-6517	325	14	the	the	DET
ejpam-6517	325	15	system	system	NOUN
ejpam-6517	325	16	(	(	PUNCT
ejpam-6517	325	17	1	1	NUM
ejpam-6517	325	18	)	)	PUNCT
ejpam-6517	325	19	about	about	ADP
ejpam-6517	325	20	an	an	DET
ejpam-6517	325	21	equilibrium	equilibrium	NOUN
ejpam-6517	325	22	point	point	NOUN
ejpam-6517	325	23	f	f	PROPN
ejpam-6517	325	24	0	0	NUM
ejpam-6517	325	25	is	be	AUX
ejpam-6517	325	26	globally	globally	ADV
ejpam-6517	325	27	asymptotically	asymptotically	ADV
ejpam-6517	325	28	stable	stable	ADJ
ejpam-6517	325	29	(	(	PUNCT
ejpam-6517	325	30	gas	gas	NOUN
ejpam-6517	325	31	)	)	PUNCT
ejpam-6517	325	32	;	;	PUNCT
ejpam-6517	325	33	if	if	SCONJ
ejpam-6517	325	34	r0	r0	NOUN
ejpam-6517	325	35	≥	≥	NOUN
ejpam-6517	325	36	1	1	NUM
ejpam-6517	325	37	,	,	PUNCT
ejpam-6517	325	38	it	it	PRON
ejpam-6517	325	39	is	be	AUX
ejpam-6517	325	40	unstable	unstable	ADJ
ejpam-6517	325	41	.	.	PUNCT
ejpam-6517	326	1	proof	proof	NOUN
ejpam-6517	326	2	.	.	PUNCT
ejpam-6517	327	1	we	we	PRON
ejpam-6517	327	2	define	define	VERB
ejpam-6517	327	3	lyapunov	lyapunov	ADJ
ejpam-6517	327	4	function	function	NOUN
ejpam-6517	327	5	as	as	ADP
ejpam-6517	327	6	u(t	u(t	NOUN
ejpam-6517	327	7	)	)	PUNCT
ejpam-6517	327	8	=	=	SYM
ejpam-6517	327	9	a1e+	a1e+	NOUN
ejpam-6517	327	10	a2i+	a2i+	NOUN
ejpam-6517	327	11	a3	a3	NOUN
ejpam-6517	327	12	t	t	PROPN
ejpam-6517	327	13	,	,	PUNCT
ejpam-6517	327	14	take	take	VERB
ejpam-6517	327	15	derivative	derivative	NOUN
ejpam-6517	327	16	with	with	ADP
ejpam-6517	327	17	respect	respect	NOUN
ejpam-6517	327	18	to	to	ADP
ejpam-6517	327	19	t	t	PROPN
ejpam-6517	327	20	,	,	PUNCT
ejpam-6517	327	21	we	we	PRON
ejpam-6517	327	22	have	have	VERB
ejpam-6517	327	23	u̇(t	u̇(t	NOUN
ejpam-6517	327	24	)	)	PUNCT
ejpam-6517	327	25	=	=	SYM
ejpam-6517	327	26	a1ė+	a1ė+	NUM
ejpam-6517	327	27	a2i̇+	a2i̇+	NUM
ejpam-6517	327	28	a3ṫ.	a3ṫ.	ADJ
ejpam-6517	327	29	putting	put	VERB
ejpam-6517	327	30	the	the	DET
ejpam-6517	327	31	values	value	NOUN
ejpam-6517	327	32	from	from	ADP
ejpam-6517	327	33	system	system	NOUN
ejpam-6517	327	34	(	(	PUNCT
ejpam-6517	327	35	1	1	NUM
ejpam-6517	327	36	)	)	PUNCT
ejpam-6517	327	37	,	,	PUNCT
ejpam-6517	327	38	we	we	PRON
ejpam-6517	327	39	get	get	VERB
ejpam-6517	327	40	˙u(t	˙u(t	NOUN
ejpam-6517	327	41	)	)	PUNCT
ejpam-6517	327	42	≤	≤	NOUN
ejpam-6517	328	1	a2k3	a2k3	ADP
ejpam-6517	328	2	(	(	PUNCT
ejpam-6517	328	3	a1k	a1k	NOUN
ejpam-6517	328	4	+	+	CCONJ
ejpam-6517	328	5	a3θ	a3θ	PROPN
ejpam-6517	328	6	a2k3	a2k3	PROPN
ejpam-6517	328	7	−	−	PROPN
ejpam-6517	328	8	1	1	NUM
ejpam-6517	328	9	)	)	PUNCT
ejpam-6517	328	10	i+	i+	NOUN
ejpam-6517	328	11	(	(	PUNCT
ejpam-6517	328	12	a2α+	a2α+	PROPN
ejpam-6517	328	13	a1k2)e−	a1k2)e−	PROPN
ejpam-6517	328	14	(	(	PUNCT
ejpam-6517	328	15	a3k4)t	a3k4)t	PROPN
ejpam-6517	328	16	.	.	PUNCT
ejpam-6517	329	1	(	(	PUNCT
ejpam-6517	329	2	11	11	NUM
ejpam-6517	329	3	)	)	PUNCT
ejpam-6517	329	4	where	where	SCONJ
ejpam-6517	329	5	a1	a1	NOUN
ejpam-6517	329	6	=	=	SYM
ejpam-6517	329	7	c1α	c1α	PROPN
ejpam-6517	329	8	,	,	PUNCT
ejpam-6517	329	9	a2	a2	PROPN
ejpam-6517	329	10	=	=	SYM
ejpam-6517	329	11	k2k5	k2k5	NOUN
ejpam-6517	329	12	,	,	PUNCT
ejpam-6517	329	13	a3	a3	NOUN
ejpam-6517	329	14	=	=	PUNCT
ejpam-6517	329	15	kαµ0	kαµ0	PROPN
ejpam-6517	329	16	θ	θ	PROPN
ejpam-6517	329	17	.	.	PUNCT
ejpam-6517	330	1	from	from	ADP
ejpam-6517	330	2	(	(	PUNCT
ejpam-6517	330	3	11	11	NUM
ejpam-6517	330	4	)	)	PUNCT
ejpam-6517	330	5	,	,	PUNCT
ejpam-6517	330	6	we	we	PRON
ejpam-6517	330	7	have	have	AUX
ejpam-6517	330	8	˙u(t	˙u(t	NOUN
ejpam-6517	330	9	)	)	PUNCT
ejpam-6517	330	10	≤	≤	NOUN
ejpam-6517	330	11	kk3αµ0	kk3αµ0	VERB
ejpam-6517	330	12	θ	θ	PROPN
ejpam-6517	330	13	(	(	PUNCT
ejpam-6517	330	14	r0	r0	NOUN
ejpam-6517	330	15	−	−	PROPN
ejpam-6517	330	16	1	1	NUM
ejpam-6517	330	17	)	)	PUNCT
ejpam-6517	330	18	i+	i+	NOUN
ejpam-6517	330	19	k2α(k5	k2α(k5	PROPN
ejpam-6517	330	20	−	−	PROPN
ejpam-6517	330	21	c1)e−	c1)e−	VERB
ejpam-6517	330	22	(	(	PUNCT
ejpam-6517	330	23	kk4αµ0	kk4αµ0	NOUN
ejpam-6517	330	24	θ	θ	PROPN
ejpam-6517	330	25	)	)	PUNCT
ejpam-6517	331	1	t.	t.	NOUN
ejpam-6517	332	1	so	so	ADV
ejpam-6517	332	2	,	,	PUNCT
ejpam-6517	332	3	we	we	PRON
ejpam-6517	332	4	have	have	AUX
ejpam-6517	332	5	˙u(t	˙u(t	NOUN
ejpam-6517	332	6	)	)	PUNCT
ejpam-6517	332	7	≤	≤	NOUN
ejpam-6517	332	8	0	0	NUM
ejpam-6517	332	9	,	,	PUNCT
ejpam-6517	332	10	if	if	SCONJ
ejpam-6517	332	11	k5	k5	PROPN
ejpam-6517	332	12	≤	≤	PROPN
ejpam-6517	332	13	c1	c1	PROPN
ejpam-6517	332	14	and	and	CCONJ
ejpam-6517	332	15	r0	r0	VERB
ejpam-6517	332	16	≤	≤	NUM
ejpam-6517	332	17	1	1	NUM
ejpam-6517	332	18	which	which	PRON
ejpam-6517	332	19	follow	follow	VERB
ejpam-6517	332	20	the	the	DET
ejpam-6517	332	21	conclusion	conclusion	NOUN
ejpam-6517	332	22	.	.	PUNCT
ejpam-6517	333	1	m.	m.	NOUN
ejpam-6517	333	2	mohiudin	mohiudin	PROPN
ejpam-6517	333	3	et	et	PROPN
ejpam-6517	333	4	al	al	PROPN
ejpam-6517	333	5	.	.	PUNCT
ejpam-6517	333	6	/	/	SYM
ejpam-6517	333	7	eur	eur	PROPN
ejpam-6517	333	8	.	.	PUNCT
ejpam-6517	334	1	j.	j.	PROPN
ejpam-6517	334	2	pure	pure	PROPN
ejpam-6517	334	3	appl	appl	PROPN
ejpam-6517	334	4	.	.	PROPN
ejpam-6517	334	5	math	math	PROPN
ejpam-6517	334	6	,	,	PUNCT
ejpam-6517	334	7	18	18	NUM
ejpam-6517	334	8	(	(	PUNCT
ejpam-6517	334	9	3	3	NUM
ejpam-6517	334	10	)	)	PUNCT
ejpam-6517	334	11	(	(	PUNCT
ejpam-6517	334	12	2025	2025	NUM
ejpam-6517	334	13	)	)	PUNCT
ejpam-6517	334	14	,	,	PUNCT
ejpam-6517	334	15	6517	6517	NUM
ejpam-6517	334	16	15	15	NUM
ejpam-6517	334	17	of	of	ADP
ejpam-6517	334	18	40	40	NUM
ejpam-6517	334	19	5.3	5.3	NUM
ejpam-6517	334	20	.	.	PUNCT
ejpam-6517	335	1	local	local	ADJ
ejpam-6517	335	2	stability	stability	NOUN
ejpam-6517	335	3	of	of	ADP
ejpam-6517	335	4	endemic	endemic	ADJ
ejpam-6517	335	5	equilibrium	equilibrium	NOUN
ejpam-6517	335	6	point	point	NOUN
ejpam-6517	335	7	(	(	PUNCT
ejpam-6517	335	8	eep	eep	NOUN
ejpam-6517	335	9	)	)	PUNCT
ejpam-6517	335	10	f∗	f∗	NOUN
ejpam-6517	335	11	theorem	theorem	VERB
ejpam-6517	335	12	7	7	NUM
ejpam-6517	335	13	.	.	PUNCT
ejpam-6517	336	1	“	"	PUNCT
ejpam-6517	336	2	if	if	SCONJ
ejpam-6517	336	3	r0	r0	VERB
ejpam-6517	336	4	≥	≥	NOUN
ejpam-6517	336	5	1	1	NUM
ejpam-6517	336	6	,	,	PUNCT
ejpam-6517	336	7	the	the	DET
ejpam-6517	336	8	dee	dee	NOUN
ejpam-6517	336	9	of	of	ADP
ejpam-6517	336	10	the	the	DET
ejpam-6517	336	11	system	system	NOUN
ejpam-6517	336	12	(	(	PUNCT
ejpam-6517	336	13	1	1	NUM
ejpam-6517	336	14	)	)	PUNCT
ejpam-6517	336	15	about	about	ADP
ejpam-6517	336	16	an	an	DET
ejpam-6517	336	17	equilibrium	equilibrium	NOUN
ejpam-6517	336	18	point	point	NOUN
ejpam-6517	336	19	f∗	f∗	NOUN
ejpam-6517	336	20	is	be	AUX
ejpam-6517	336	21	(	(	PUNCT
ejpam-6517	336	22	las	las	NOUN
ejpam-6517	336	23	)	)	PUNCT
ejpam-6517	336	24	locally	locally	ADV
ejpam-6517	336	25	asymptotically	asymptotically	ADV
ejpam-6517	336	26	stable	stable	ADJ
ejpam-6517	336	27	otherwise	otherwise	ADV
ejpam-6517	336	28	unstable	unstable	ADJ
ejpam-6517	336	29	.	.	PUNCT
ejpam-6517	337	1	proof	proof	NOUN
ejpam-6517	337	2	.	.	PUNCT
ejpam-6517	338	1	the	the	DET
ejpam-6517	338	2	jacobian	jacobian	ADJ
ejpam-6517	338	3	matrix	matrix	NOUN
ejpam-6517	338	4	at	at	ADP
ejpam-6517	338	5	j∗	j∗	PROPN
ejpam-6517	338	6	is	be	AUX
ejpam-6517	338	7	given	give	VERB
ejpam-6517	338	8	below	below	ADP
ejpam-6517	338	9	j(f	j(f	PROPN
ejpam-6517	338	10	∗	∗	NOUN
ejpam-6517	338	11	)	)	PUNCT
ejpam-6517	338	12	=	=	SYM
ejpam-6517	338	13			NOUN
ejpam-6517	338	14	−(k0	−(k0	PRON
ejpam-6517	338	15	+	+	CCONJ
ejpam-6517	338	16	ki∗	ki∗	PROPN
ejpam-6517	338	17	m∗	m∗	PROPN
ejpam-6517	338	18	)	)	PUNCT
ejpam-6517	338	19	−	−	PROPN
ejpam-6517	338	20	c∗2	c∗2	PROPN
ejpam-6517	338	21	c1	c1	PROPN
ejpam-6517	338	22	0	0	NUM
ejpam-6517	339	1	−ks∗	−ks∗	PROPN
ejpam-6517	339	2	m∗	m∗	PROPN
ejpam-6517	339	3	0	0	NUM
ejpam-6517	339	4	0	0	NUM
ejpam-6517	339	5	c2	c2	PROPN
ejpam-6517	339	6	−k1	−k1	PROPN
ejpam-6517	339	7	−	−	PROPN
ejpam-6517	339	8	c∗2	c∗2	ADJ
ejpam-6517	339	9	0	0	NUM
ejpam-6517	339	10	0	0	NUM
ejpam-6517	339	11	0	0	NUM
ejpam-6517	339	12	0	0	NUM
ejpam-6517	340	1	ki∗	ki∗	PROPN
ejpam-6517	340	2	m∗	m∗	VERB
ejpam-6517	340	3	0	0	NUM
ejpam-6517	341	1	−k2	−k2	ADJ
ejpam-6517	341	2	−	−	PROPN
ejpam-6517	341	3	c∗2	c∗2	PROPN
ejpam-6517	341	4	ks∗	ks∗	PROPN
ejpam-6517	341	5	m∗	m∗	VERB
ejpam-6517	341	6	0	0	NUM
ejpam-6517	341	7	0	0	NUM
ejpam-6517	341	8	0	0	NUM
ejpam-6517	341	9	0	0	NUM
ejpam-6517	342	1	α	α	NOUN
ejpam-6517	342	2	−k3	−k3	PROPN
ejpam-6517	342	3	−	−	PROPN
ejpam-6517	342	4	c∗2	c∗2	ADJ
ejpam-6517	342	5	0	0	NUM
ejpam-6517	342	6	0	0	NUM
ejpam-6517	342	7	0	0	NUM
ejpam-6517	342	8	0	0	NUM
ejpam-6517	342	9	0	0	NUM
ejpam-6517	343	1	θ	θ	NOUN
ejpam-6517	343	2	−k4	−k4	VERB
ejpam-6517	343	3	0	0	NUM
ejpam-6517	343	4	0	0	NUM
ejpam-6517	343	5	0	0	NUM
ejpam-6517	343	6	r1	r1	NOUN
ejpam-6517	343	7	0	0	NUM
ejpam-6517	343	8	r2	r2	PROPN
ejpam-6517	343	9	−µ0	−µ0	PROPN
ejpam-6517	343	10			NUM
ejpam-6517	343	11	,	,	PUNCT
ejpam-6517	343	12	local	local	ADJ
ejpam-6517	343	13	stability	stability	NOUN
ejpam-6517	343	14	criteria	criterion	NOUN
ejpam-6517	343	15	of	of	ADP
ejpam-6517	343	16	measles	measle	NOUN
ejpam-6517	343	17	-	-	PUNCT
ejpam-6517	343	18	endemic	endemic	ADJ
ejpam-6517	343	19	equilibrium	equilibrium	NOUN
ejpam-6517	343	20	are	be	AUX
ejpam-6517	343	21	ascertained	ascertain	VERB
ejpam-6517	343	22	by	by	ADP
ejpam-6517	343	23	analyzing	analyze	VERB
ejpam-6517	343	24	the	the	DET
ejpam-6517	343	25	eigenvalues	eigenvalue	NOUN
ejpam-6517	343	26	of	of	ADP
ejpam-6517	343	27	the	the	DET
ejpam-6517	343	28	jacobian	jacobian	ADJ
ejpam-6517	343	29	matrix	matrix	NOUN
ejpam-6517	343	30	of	of	ADP
ejpam-6517	343	31	the	the	DET
ejpam-6517	343	32	system	system	NOUN
ejpam-6517	343	33	(	(	PUNCT
ejpam-6517	343	34	1	1	NUM
ejpam-6517	343	35	)	)	PUNCT
ejpam-6517	343	36	from	from	ADP
ejpam-6517	343	37	columns	column	NOUN
ejpam-6517	343	38	c6	c6	PROPN
ejpam-6517	343	39	and	and	CCONJ
ejpam-6517	343	40	c5	c5	PROPN
ejpam-6517	343	41	,	,	PUNCT
ejpam-6517	343	42	we	we	PRON
ejpam-6517	343	43	determine	determine	VERB
ejpam-6517	343	44	two	two	NUM
ejpam-6517	343	45	eigenvalues	eigenvalue	NOUN
ejpam-6517	343	46	for	for	ADP
ejpam-6517	343	47	direct	direct	ADJ
ejpam-6517	343	48	expansion	expansion	NOUN
ejpam-6517	343	49	,	,	PUNCT
ejpam-6517	343	50	and	and	CCONJ
ejpam-6517	343	51	the	the	DET
ejpam-6517	343	52	required	require	VERB
ejpam-6517	343	53	eigenvalue	eigenvalue	NOUN
ejpam-6517	343	54	is	be	AUX
ejpam-6517	343	55	given	give	VERB
ejpam-6517	343	56	as	as	ADP
ejpam-6517	343	57	:	:	PUNCT
ejpam-6517	343	58	λ1	λ1	PROPN
ejpam-6517	343	59	=	=	SYM
ejpam-6517	343	60	−µ0	−µ0	PROPN
ejpam-6517	343	61	,	,	PUNCT
ejpam-6517	343	62	and	and	CCONJ
ejpam-6517	343	63	λ2	λ2	NOUN
ejpam-6517	344	1	=	=	SYM
ejpam-6517	344	2	−k4	−k4	X
ejpam-6517	344	3	=	=	PUNCT
ejpam-6517	344	4	−(r2	−(r2	PRON
ejpam-6517	344	5	+	+	CCONJ
ejpam-6517	344	6	d2	d2	PROPN
ejpam-6517	344	7	+	+	CCONJ
ejpam-6517	344	8	µ0	µ0	NUM
ejpam-6517	344	9	)	)	PUNCT
ejpam-6517	344	10	.	.	PUNCT
ejpam-6517	345	1	furthermore	furthermore	ADV
ejpam-6517	345	2	,	,	PUNCT
ejpam-6517	345	3	the	the	DET
ejpam-6517	345	4	jacobian	jacobian	ADJ
ejpam-6517	345	5	matrix	matrix	NOUN
ejpam-6517	345	6	is	be	AUX
ejpam-6517	345	7	reduced	reduce	VERB
ejpam-6517	345	8	to	to	ADP
ejpam-6517	345	9	4x4	4x4	NUM
ejpam-6517	345	10	matrix	matrix	NOUN
ejpam-6517	345	11	.	.	PUNCT
ejpam-6517	346	1	j(f∗	j(f∗	NUM
ejpam-6517	346	2	)	)	PUNCT
ejpam-6517	347	1	=	=	SYM
ejpam-6517	347	2			NOUN
ejpam-6517	348	1	−(k0	−(k0	ADJ
ejpam-6517	348	2	+	+	CCONJ
ejpam-6517	348	3	ki∗	ki∗	PROPN
ejpam-6517	348	4	m∗	m∗	PROPN
ejpam-6517	348	5	)	)	PUNCT
ejpam-6517	348	6	−	−	PROPN
ejpam-6517	348	7	c∗2	c∗2	PROPN
ejpam-6517	348	8	c1	c1	PROPN
ejpam-6517	348	9	0	0	NUM
ejpam-6517	349	1	−ks∗	−ks∗	PROPN
ejpam-6517	349	2	m∗	m∗	PROPN
ejpam-6517	349	3	c2	c2	PROPN
ejpam-6517	349	4	−k1	−k1	NOUN
ejpam-6517	350	1	−	−	PROPN
ejpam-6517	350	2	c∗2	c∗2	ADJ
ejpam-6517	350	3	0	0	NUM
ejpam-6517	350	4	0	0	NUM
ejpam-6517	350	5	ki∗	ki∗	PROPN
ejpam-6517	350	6	m∗	m∗	VERB
ejpam-6517	350	7	0	0	NUM
ejpam-6517	351	1	−k2	−k2	ADJ
ejpam-6517	351	2	−	−	PROPN
ejpam-6517	351	3	c∗2	c∗2	PROPN
ejpam-6517	351	4	ks∗	ks∗	PROPN
ejpam-6517	351	5	m∗	m∗	VERB
ejpam-6517	351	6	0	0	NUM
ejpam-6517	351	7	0	0	NUM
ejpam-6517	352	1	α	α	NOUN
ejpam-6517	352	2	−k3	−k3	PROPN
ejpam-6517	352	3	−	−	PROPN
ejpam-6517	352	4	c∗2	c∗2	ADJ
ejpam-6517	352	5			PROPN
ejpam-6517	352	6	.	.	PUNCT
ejpam-6517	353	1	the	the	DET
ejpam-6517	353	2	characteristic	characteristic	ADJ
ejpam-6517	353	3	equation	equation	NOUN
ejpam-6517	353	4	of	of	ADP
ejpam-6517	353	5	the	the	DET
ejpam-6517	353	6	above	above	ADJ
ejpam-6517	353	7	jacobian	jacobian	ADJ
ejpam-6517	353	8	matrix	matrix	NOUN
ejpam-6517	353	9	is	be	AUX
ejpam-6517	353	10	given	give	VERB
ejpam-6517	353	11	as	as	ADP
ejpam-6517	353	12	:	:	PUNCT
ejpam-6517	353	13	c∗2	c∗2	ADJ
ejpam-6517	353	14	+	+	CCONJ
ejpam-6517	353	15	b1c	b1c	NOUN
ejpam-6517	353	16	∗	∗	NOUN
ejpam-6517	353	17	2	2	NUM
ejpam-6517	353	18	+	+	CCONJ
ejpam-6517	353	19	b2c	b2c	ADJ
ejpam-6517	353	20	∗	∗	NOUN
ejpam-6517	353	21	2	2	NUM
ejpam-6517	353	22	+	+	CCONJ
ejpam-6517	353	23	b3c	b3c	NOUN
ejpam-6517	353	24	∗	∗	NOUN
ejpam-6517	353	25	2	2	NUM
ejpam-6517	353	26	+	+	CCONJ
ejpam-6517	353	27	b4	b4	NOUN
ejpam-6517	353	28	=	=	NOUN
ejpam-6517	353	29	0	0	X
ejpam-6517	353	30	.	.	PUNCT
ejpam-6517	354	1	here	here	ADV
ejpam-6517	354	2	b1	b1	PROPN
ejpam-6517	354	3	=	=	PROPN
ejpam-6517	354	4	k0	k0	PROPN
ejpam-6517	354	5	+	+	PROPN
ejpam-6517	354	6	k1k2k3	k1k2k3	PROPN
ejpam-6517	354	7	+	+	CCONJ
ejpam-6517	354	8	ki∗	ki∗	PROPN
ejpam-6517	354	9	m∗	m∗	PROPN
ejpam-6517	354	10	,	,	PUNCT
ejpam-6517	354	11	b2	b2	NOUN
ejpam-6517	354	12	=	=	SYM
ejpam-6517	354	13	k0(k1	k0(k1	PROPN
ejpam-6517	354	14	+	+	CCONJ
ejpam-6517	354	15	k2	k2	PROPN
ejpam-6517	354	16	+	+	CCONJ
ejpam-6517	354	17	k3	k3	ADJ
ejpam-6517	354	18	)	)	PUNCT
ejpam-6517	354	19	+	+	NUM
ejpam-6517	354	20	ki∗	ki∗	PROPN
ejpam-6517	354	21	m∗	m∗	PROPN
ejpam-6517	354	22	(	(	PUNCT
ejpam-6517	354	23	k1	k1	NOUN
ejpam-6517	354	24	+	+	CCONJ
ejpam-6517	354	25	k2	k2	PROPN
ejpam-6517	354	26	+	+	CCONJ
ejpam-6517	354	27	k3	k3	ADJ
ejpam-6517	354	28	)	)	PUNCT
ejpam-6517	355	1	+	+	NUM
ejpam-6517	355	2	k1(k2	k1(k2	NOUN
ejpam-6517	355	3	+	+	CCONJ
ejpam-6517	355	4	k3	k3	ADJ
ejpam-6517	355	5	)	)	PUNCT
ejpam-6517	355	6	+	+	CCONJ
ejpam-6517	355	7	(	(	PUNCT
ejpam-6517	355	8	k2k3)−	k2k3)−	PROPN
ejpam-6517	355	9	ks∗	ks∗	PROPN
ejpam-6517	355	10	m∗	m∗	VERB
ejpam-6517	355	11	−	−	PROPN
ejpam-6517	355	12	c1	c1	NOUN
ejpam-6517	355	13	,	,	PUNCT
ejpam-6517	355	14	b3	b3	PROPN
ejpam-6517	355	15	=	=	SYM
ejpam-6517	356	1	k1k2k3	k1k2k3	PROPN
ejpam-6517	356	2	−	−	PROPN
ejpam-6517	356	3	kk1αs∗	kk1αs∗	PROPN
ejpam-6517	356	4	m∗	m∗	VERB
ejpam-6517	356	5	+	+	CCONJ
ejpam-6517	356	6	k0(k1(k2	k0(k1(k2	VERB
ejpam-6517	356	7	+	+	CCONJ
ejpam-6517	356	8	k3	k3	ADJ
ejpam-6517	356	9	)	)	PUNCT
ejpam-6517	357	1	+	+	CCONJ
ejpam-6517	357	2	k2k3	k2k3	CCONJ
ejpam-6517	357	3	−	−	PRON
ejpam-6517	357	4	kαs∗	kαs∗	NOUN
ejpam-6517	357	5	m∗	m∗	VERB
ejpam-6517	357	6	)	)	PUNCT
ejpam-6517	358	1	+	+	CCONJ
ejpam-6517	358	2	ki∗	ki∗	PROPN
ejpam-6517	358	3	m∗	m∗	PROPN
ejpam-6517	358	4	(	(	PUNCT
ejpam-6517	358	5	k1(k2	k1(k2	NOUN
ejpam-6517	358	6	+	+	CCONJ
ejpam-6517	358	7	k3	k3	ADJ
ejpam-6517	358	8	)	)	PUNCT
ejpam-6517	359	1	+	+	CCONJ
ejpam-6517	359	2	k2k3	k2k3	CCONJ
ejpam-6517	359	3	−	−	PRON
ejpam-6517	359	4	kαs∗	kαs∗	NOUN
ejpam-6517	359	5	m∗	m∗	VERB
ejpam-6517	359	6	)	)	PUNCT
ejpam-6517	359	7	−	−	ADP
ejpam-6517	359	8	c1(k2	c1(k2	NOUN
ejpam-6517	359	9	+	+	CCONJ
ejpam-6517	359	10	k3	k3	ADJ
ejpam-6517	359	11	)	)	PUNCT
ejpam-6517	359	12	,	,	PUNCT
ejpam-6517	359	13	b4	b4	NOUN
ejpam-6517	359	14	=	=	PUNCT
ejpam-6517	359	15	k0k1k2k3	k0k1k2k3	PROPN
ejpam-6517	359	16	−	−	PROPN
ejpam-6517	359	17	kk0k1αs∗	kk0k1αs∗	NOUN
ejpam-6517	359	18	m∗	m∗	VERB
ejpam-6517	359	19	+	+	CCONJ
ejpam-6517	359	20	kk1k2k3αi∗	kk1k2k3αi∗	PROPN
ejpam-6517	359	21	m∗	m∗	NOUN
ejpam-6517	359	22	−	−	PROPN
ejpam-6517	359	23	k2k1αs∗i∗	k2k1αs∗i∗	PROPN
ejpam-6517	359	24	m∗2	m∗2	PROPN
ejpam-6517	360	1	−	−	PROPN
ejpam-6517	360	2	c1k2k3	c1k2k3	PROPN
ejpam-6517	360	3	+	+	PROPN
ejpam-6517	360	4	kαs∗c1	kαs∗c1	PROPN
ejpam-6517	360	5	m∗	m∗	PROPN
ejpam-6517	360	6	.	.	PUNCT
ejpam-6517	361	1	(	(	PUNCT
ejpam-6517	361	2	12	12	NUM
ejpam-6517	361	3	)	)	PUNCT
ejpam-6517	361	4	the	the	DET
ejpam-6517	361	5	value	value	NOUN
ejpam-6517	361	6	of	of	ADP
ejpam-6517	361	7	characteristic	characteristic	ADJ
ejpam-6517	361	8	polynomial	polynomial	NOUN
ejpam-6517	361	9	,	,	PUNCT
ejpam-6517	361	10	will	will	AUX
ejpam-6517	361	11	be	be	AUX
ejpam-6517	361	12	negative	negative	ADJ
ejpam-6517	361	13	,	,	PUNCT
ejpam-6517	361	14	if	if	SCONJ
ejpam-6517	361	15	it	it	PRON
ejpam-6517	361	16	satisfied	satisfy	VERB
ejpam-6517	361	17	the	the	DET
ejpam-6517	361	18	routh	routh	PROPN
ejpam-6517	361	19	-	-	PUNCT
ejpam-6517	361	20	hurwitz	hurwitz	PROPN
ejpam-6517	361	21	criteria	criterion	NOUN
ejpam-6517	361	22	that	that	PRON
ejpam-6517	361	23	is	be	AUX
ejpam-6517	361	24	n	n	PRON
ejpam-6517	361	25	=	=	SYM
ejpam-6517	361	26	4	4	NUM
ejpam-6517	361	27	,	,	PUNCT
ejpam-6517	361	28	b1	b1	VERB
ejpam-6517	361	29	>	>	X
ejpam-6517	361	30	0	0	PROPN
ejpam-6517	361	31	,	,	PUNCT
ejpam-6517	361	32	b3	b3	PROPN
ejpam-6517	361	33	>	>	X
ejpam-6517	361	34	0	0	PROPN
ejpam-6517	361	35	,	,	PUNCT
ejpam-6517	361	36	b4	b4	VERB
ejpam-6517	361	37	>	>	X
ejpam-6517	361	38	0	0	NUM
ejpam-6517	361	39	,	,	PUNCT
ejpam-6517	361	40	and	and	CCONJ
ejpam-6517	361	41	b1b2b3	b1b2b3	VERB
ejpam-6517	361	42	>	>	X
ejpam-6517	361	43	b23	b23	PROPN
ejpam-6517	361	44	+	+	CCONJ
ejpam-6517	361	45	a21a4	a21a4	PROPN
ejpam-6517	361	46	,	,	PUNCT
ejpam-6517	361	47	so	so	SCONJ
ejpam-6517	361	48	we	we	PRON
ejpam-6517	361	49	can	can	AUX
ejpam-6517	361	50	say	say	VERB
ejpam-6517	361	51	that	that	SCONJ
ejpam-6517	361	52	(	(	PUNCT
ejpam-6517	361	53	eep	eep	NOUN
ejpam-6517	361	54	)	)	PUNCT
ejpam-6517	361	55	of	of	ADP
ejpam-6517	361	56	the	the	DET
ejpam-6517	361	57	model	model	NOUN
ejpam-6517	361	58	(	(	PUNCT
ejpam-6517	361	59	1	1	X
ejpam-6517	361	60	)	)	PUNCT
ejpam-6517	361	61	will	will	AUX
ejpam-6517	361	62	be	be	AUX
ejpam-6517	361	63	local	local	ADJ
ejpam-6517	361	64	asymptotically	asymptotically	ADV
ejpam-6517	361	65	stable	stable	ADJ
ejpam-6517	361	66	for	for	ADP
ejpam-6517	361	67	r0	r0	PROPN
ejpam-6517	361	68	>	>	X
ejpam-6517	361	69	1	1	X
ejpam-6517	361	70	.	.	PUNCT
ejpam-6517	361	71	m.	m.	NOUN
ejpam-6517	361	72	mohiudin	mohiudin	PROPN
ejpam-6517	361	73	et	et	PROPN
ejpam-6517	361	74	al	al	PROPN
ejpam-6517	361	75	.	.	PUNCT
ejpam-6517	361	76	/	/	SYM
ejpam-6517	361	77	eur	eur	PROPN
ejpam-6517	361	78	.	.	PUNCT
ejpam-6517	362	1	j.	j.	PROPN
ejpam-6517	362	2	pure	pure	PROPN
ejpam-6517	362	3	appl	appl	PROPN
ejpam-6517	362	4	.	.	PROPN
ejpam-6517	362	5	math	math	PROPN
ejpam-6517	362	6	,	,	PUNCT
ejpam-6517	362	7	18	18	NUM
ejpam-6517	362	8	(	(	PUNCT
ejpam-6517	362	9	3	3	NUM
ejpam-6517	362	10	)	)	PUNCT
ejpam-6517	362	11	(	(	PUNCT
ejpam-6517	362	12	2025	2025	NUM
ejpam-6517	362	13	)	)	PUNCT
ejpam-6517	362	14	,	,	PUNCT
ejpam-6517	362	15	6517	6517	NUM
ejpam-6517	362	16	16	16	NUM
ejpam-6517	362	17	of	of	ADP
ejpam-6517	362	18	40	40	NUM
ejpam-6517	362	19	5.4	5.4	NUM
ejpam-6517	362	20	.	.	PUNCT
ejpam-6517	363	1	backward	backward	ADJ
ejpam-6517	363	2	bifurcation	bifurcation	NOUN
ejpam-6517	363	3	analysis	analysis	NOUN
ejpam-6517	363	4	for	for	ADP
ejpam-6517	363	5	local	local	ADJ
ejpam-6517	363	6	stability	stability	NOUN
ejpam-6517	363	7	of	of	ADP
ejpam-6517	363	8	endemic	endemic	ADJ
ejpam-6517	363	9	equilibrium	equilibrium	NOUN
ejpam-6517	363	10	(	(	PUNCT
ejpam-6517	363	11	ee	ee	NOUN
ejpam-6517	363	12	)	)	PUNCT
ejpam-6517	363	13	theorem	theorem	NOUN
ejpam-6517	363	14	8	8	NUM
ejpam-6517	363	15	.	.	PUNCT
ejpam-6517	364	1	“	"	PUNCT
ejpam-6517	364	2	[	[	X
ejpam-6517	364	3	28	28	NUM
ejpam-6517	364	4	]	]	PUNCT
ejpam-6517	364	5	and	and	CCONJ
ejpam-6517	364	6	[	[	X
ejpam-6517	364	7	29	29	NUM
ejpam-6517	364	8	]	]	PUNCT
ejpam-6517	364	9	if	if	SCONJ
ejpam-6517	364	10	r0	r0	NOUN
ejpam-6517	364	11	>	>	X
ejpam-6517	364	12	1	1	NUM
ejpam-6517	364	13	,	,	PUNCT
ejpam-6517	364	14	the	the	DET
ejpam-6517	364	15	dee	dee	NOUN
ejpam-6517	364	16	of	of	ADP
ejpam-6517	364	17	the	the	DET
ejpam-6517	364	18	system	system	NOUN
ejpam-6517	364	19	(	(	PUNCT
ejpam-6517	364	20	1	1	NUM
ejpam-6517	364	21	)	)	PUNCT
ejpam-6517	364	22	about	about	ADP
ejpam-6517	364	23	an	an	DET
ejpam-6517	364	24	equilibrium	equilibrium	NOUN
ejpam-6517	364	25	point	point	NOUN
ejpam-6517	364	26	f∗	f∗	NOUN
ejpam-6517	364	27	is	be	AUX
ejpam-6517	364	28	(	(	PUNCT
ejpam-6517	364	29	las	las	NOUN
ejpam-6517	364	30	)	)	PUNCT
ejpam-6517	364	31	locally	locally	ADV
ejpam-6517	364	32	asymptotically	asymptotically	ADV
ejpam-6517	364	33	stable	stable	ADJ
ejpam-6517	364	34	otherwise	otherwise	ADV
ejpam-6517	364	35	unstable	unstable	ADJ
ejpam-6517	364	36	and	and	CCONJ
ejpam-6517	364	37	also	also	ADV
ejpam-6517	364	38	satisfy	satisfy	VERB
ejpam-6517	364	39	the	the	DET
ejpam-6517	364	40	condition	condition	NOUN
ejpam-6517	364	41	k1	k1	NOUN
ejpam-6517	364	42	<	<	X
ejpam-6517	364	43	1	1	NUM
ejpam-6517	364	44	.	.	PUNCT
ejpam-6517	365	1	proof	proof	NOUN
ejpam-6517	365	2	.	.	PUNCT
ejpam-6517	366	1	let	let	VERB
ejpam-6517	366	2	s	s	VERB
ejpam-6517	366	3	=	=	PUNCT
ejpam-6517	366	4	x1,v	x1,v	PROPN
ejpam-6517	366	5	=	=	SYM
ejpam-6517	366	6	x2,e	x2,e	PROPN
ejpam-6517	366	7	=	=	SYM
ejpam-6517	366	8	x3	x3	PROPN
ejpam-6517	366	9	,	,	PUNCT
ejpam-6517	366	10	i	i	PRON
ejpam-6517	366	11	=	=	PUNCT
ejpam-6517	366	12	x4,t	x4,t	PROPN
ejpam-6517	366	13	=	=	SYM
ejpam-6517	366	14	x5	x5	PROPN
ejpam-6517	366	15	,	,	PUNCT
ejpam-6517	366	16	dx1	dx1	PROPN
ejpam-6517	366	17	dt	dt	X
ejpam-6517	366	18	=	=	SYM
ejpam-6517	366	19	h1	h1	PROPN
ejpam-6517	366	20	,	,	PUNCT
ejpam-6517	366	21	dx2	dx2	PROPN
ejpam-6517	366	22	dt	dt	NOUN
ejpam-6517	366	23	=	=	SYM
ejpam-6517	366	24	h2	h2	PROPN
ejpam-6517	366	25	,	,	PUNCT
ejpam-6517	366	26	dx3	dx3	PROPN
ejpam-6517	366	27	dt	dt	X
ejpam-6517	366	28	=	=	SYM
ejpam-6517	366	29	h3	h3	NOUN
ejpam-6517	366	30	,	,	PUNCT
ejpam-6517	366	31	dx4	dx4	NOUN
ejpam-6517	366	32	dt	dt	NOUN
ejpam-6517	366	33	=	=	SYM
ejpam-6517	366	34	h4	h4	PROPN
ejpam-6517	366	35	,	,	PUNCT
ejpam-6517	366	36	dx5	dx5	ADJ
ejpam-6517	366	37	dt	dt	NOUN
ejpam-6517	366	38	=	=	SYM
ejpam-6517	366	39	h5	h5	PROPN
ejpam-6517	366	40	,	,	PUNCT
ejpam-6517	366	41	so	so	SCONJ
ejpam-6517	366	42	the	the	DET
ejpam-6517	366	43	system	system	NOUN
ejpam-6517	366	44	(	(	PUNCT
ejpam-6517	366	45	1	1	NUM
ejpam-6517	366	46	)	)	PUNCT
ejpam-6517	366	47	for	for	ADP
ejpam-6517	366	48	first	first	ADJ
ejpam-6517	366	49	five	five	NUM
ejpam-6517	366	50	equations	equation	NOUN
ejpam-6517	366	51	with	with	ADP
ejpam-6517	366	52	dx	dx	PROPN
ejpam-6517	366	53	dt	dt	X
ejpam-6517	366	54	=	=	SYM
ejpam-6517	366	55	h	h	PROPN
ejpam-6517	366	56	,	,	PUNCT
ejpam-6517	366	57	where	where	SCONJ
ejpam-6517	366	58	h	h	NOUN
ejpam-6517	366	59	=	=	SYM
ejpam-6517	366	60	(	(	PUNCT
ejpam-6517	366	61	h1	h1	PROPN
ejpam-6517	366	62	,	,	PUNCT
ejpam-6517	366	63	h2	h2	PROPN
ejpam-6517	366	64	,	,	PUNCT
ejpam-6517	366	65	h3	h3	NOUN
ejpam-6517	366	66	,	,	PUNCT
ejpam-6517	366	67	h4	h4	NOUN
ejpam-6517	366	68	,	,	PUNCT
ejpam-6517	366	69	h5	h5	PROPN
ejpam-6517	366	70	)	)	PUNCT
ejpam-6517	366	71	t	t	PROPN
ejpam-6517	366	72	can	can	AUX
ejpam-6517	366	73	be	be	AUX
ejpam-6517	366	74	written	write	VERB
ejpam-6517	366	75	as	as	ADP
ejpam-6517	366	76	:	:	PUNCT
ejpam-6517	366	77	h1(x	h1(x	NOUN
ejpam-6517	366	78	)	)	PUNCT
ejpam-6517	366	79	=	=	PUNCT
ejpam-6517	366	80	b+	b+	X
ejpam-6517	366	81	c1x2	c1x2	X
ejpam-6517	366	82	−	−	PROPN
ejpam-6517	367	1	kx1x4	kx1x4	PROPN
ejpam-6517	367	2	m	m	VERB
ejpam-6517	367	3	−	−	NOUN
ejpam-6517	367	4	µ0x1	µ0x1	PART
ejpam-6517	367	5	−	−	NOUN
ejpam-6517	367	6	c2x1	c2x1	VERB
ejpam-6517	367	7	=	=	PUNCT
ejpam-6517	367	8	b+	b+	X
ejpam-6517	367	9	c1x2	c1x2	X
ejpam-6517	367	10	−	−	PROPN
ejpam-6517	367	11	kx1x4	kx1x4	PROPN
ejpam-6517	367	12	m	m	VERB
ejpam-6517	367	13	−	−	PROPN
ejpam-6517	367	14	(	(	PUNCT
ejpam-6517	367	15	µ0	µ0	NOUN
ejpam-6517	367	16	+	+	X
ejpam-6517	367	17	c2)x1	c2)x1	NOUN
ejpam-6517	367	18	=	=	PUNCT
ejpam-6517	367	19	b+	b+	X
ejpam-6517	367	20	c1x2	c1x2	X
ejpam-6517	367	21	−	−	PROPN
ejpam-6517	367	22	kx1x4	kx1x4	PROPN
ejpam-6517	367	23	m	m	VERB
ejpam-6517	367	24	−	−	PROPN
ejpam-6517	367	25	k0x1	k0x1	NOUN
ejpam-6517	367	26	,	,	PUNCT
ejpam-6517	367	27	h2(x	h2(x	X
ejpam-6517	367	28	)	)	PUNCT
ejpam-6517	367	29	=	=	VERB
ejpam-6517	368	1	c2x1	c2x1	ADV
ejpam-6517	368	2	−	−	NOUN
ejpam-6517	368	3	c1x2	c1x2	X
ejpam-6517	368	4	−	−	NOUN
ejpam-6517	368	5	µ0x2	µ0x2	X
ejpam-6517	368	6	=	=	PUNCT
ejpam-6517	368	7	c2x1	c2x1	ADJ
ejpam-6517	368	8	−	−	X
ejpam-6517	368	9	(	(	PUNCT
ejpam-6517	368	10	c1	c1	PROPN
ejpam-6517	368	11	+	+	CCONJ
ejpam-6517	368	12	µ0)x2	µ0)x2	NOUN
ejpam-6517	368	13	=	=	X
ejpam-6517	369	1	c2x1	c2x1	ADV
ejpam-6517	369	2	−	−	X
ejpam-6517	369	3	k1x2	k1x2	X
ejpam-6517	369	4	,	,	PUNCT
ejpam-6517	369	5	h3(x	h3(x	PROPN
ejpam-6517	369	6	)	)	PUNCT
ejpam-6517	369	7	=	=	VERB
ejpam-6517	370	1	kx1x4	kx1x4	PROPN
ejpam-6517	370	2	m	m	VERB
ejpam-6517	370	3	−	−	NOUN
ejpam-6517	370	4	αx3	αx3	NOUN
ejpam-6517	370	5	−	−	PROPN
ejpam-6517	370	6	r1x3	r1x3	CCONJ
ejpam-6517	370	7	−	−	NOUN
ejpam-6517	370	8	µ0x3	µ0x3	NOUN
ejpam-6517	371	1	=	=	SYM
ejpam-6517	371	2	kx1x4	kx1x4	PROPN
ejpam-6517	371	3	m	m	VERB
ejpam-6517	371	4	−	−	PROPN
ejpam-6517	371	5	(	(	PUNCT
ejpam-6517	371	6	α−	α−	ADP
ejpam-6517	371	7	r1	r1	VERB
ejpam-6517	371	8	−	−	PROPN
ejpam-6517	371	9	µ0)x3	µ0)x3	NOUN
ejpam-6517	371	10	=	=	SYM
ejpam-6517	372	1	kx1x4	kx1x4	PROPN
ejpam-6517	372	2	m	m	VERB
ejpam-6517	372	3	−	−	PROPN
ejpam-6517	372	4	k2x3	k2x3	X
ejpam-6517	372	5	,	,	PUNCT
ejpam-6517	372	6	h4(x	h4(x	X
ejpam-6517	372	7	)	)	PUNCT
ejpam-6517	372	8	=	=	SYM
ejpam-6517	373	1	αx3	αx3	NOUN
ejpam-6517	373	2	−	−	PROPN
ejpam-6517	373	3	θx4	θx4	NOUN
ejpam-6517	373	4	−	−	PROPN
ejpam-6517	374	1	(	(	PUNCT
ejpam-6517	374	2	d1	d1	PROPN
ejpam-6517	374	3	+	+	CCONJ
ejpam-6517	374	4	µ0)x4	µ0)x4	ADJ
ejpam-6517	374	5	=	=	ADJ
ejpam-6517	374	6	αx3	αx3	NOUN
ejpam-6517	374	7	−	−	PROPN
ejpam-6517	375	1	(	(	PUNCT
ejpam-6517	375	2	θ	θ	NOUN
ejpam-6517	375	3	−	−	NOUN
ejpam-6517	375	4	d1	d1	PROPN
ejpam-6517	375	5	+	+	CCONJ
ejpam-6517	375	6	µ0)x4	µ0)x4	ADJ
ejpam-6517	375	7	=	=	ADJ
ejpam-6517	375	8	αx3	αx3	NOUN
ejpam-6517	375	9	−	−	PROPN
ejpam-6517	375	10	k3x4	k3x4	PROPN
ejpam-6517	375	11	,	,	PUNCT
ejpam-6517	375	12	h5(x	h5(x	PRON
ejpam-6517	375	13	)	)	PUNCT
ejpam-6517	375	14	=	=	VERB
ejpam-6517	375	15	θx4	θx4	VERB
ejpam-6517	375	16	−	−	NOUN
ejpam-6517	375	17	r2x5	r2x5	NOUN
ejpam-6517	375	18	−	−	PROPN
ejpam-6517	375	19	(	(	PUNCT
ejpam-6517	375	20	d2	d2	NOUN
ejpam-6517	375	21	+	+	CCONJ
ejpam-6517	375	22	µ0)x5	µ0)x5	NOUN
ejpam-6517	375	23	=	=	SYM
ejpam-6517	375	24	θx4	θx4	NOUN
ejpam-6517	375	25	−	−	PROPN
ejpam-6517	376	1	(	(	PUNCT
ejpam-6517	376	2	r2	r2	PROPN
ejpam-6517	376	3	+	+	CCONJ
ejpam-6517	376	4	d2	d2	PROPN
ejpam-6517	376	5	+	+	CCONJ
ejpam-6517	376	6	µ0)x5	µ0)x5	NOUN
ejpam-6517	376	7	=	=	PUNCT
ejpam-6517	376	8	θx4	θx4	NOUN
ejpam-6517	376	9	−	−	PROPN
ejpam-6517	376	10	k4x5	k4x5	X
ejpam-6517	376	11	.	.	PROPN
ejpam-6517	376	12	(	(	PUNCT
ejpam-6517	376	13	13	13	NUM
ejpam-6517	376	14	)	)	PUNCT
ejpam-6517	376	15	to	to	PART
ejpam-6517	376	16	prove	prove	VERB
ejpam-6517	376	17	las	las	PROPN
ejpam-6517	376	18	of	of	ADP
ejpam-6517	376	19	the	the	DET
ejpam-6517	376	20	system	system	NOUN
ejpam-6517	376	21	(	(	PUNCT
ejpam-6517	376	22	1	1	NUM
ejpam-6517	376	23	)	)	PUNCT
ejpam-6517	376	24	,	,	PUNCT
ejpam-6517	376	25	we	we	PRON
ejpam-6517	376	26	follow	follow	VERB
ejpam-6517	376	27	the	the	DET
ejpam-6517	376	28	center	center	ADJ
ejpam-6517	376	29	manifold	manifold	ADJ
ejpam-6517	376	30	theory	theory	NOUN
ejpam-6517	376	31	in	in	ADP
ejpam-6517	376	32	[	[	X
ejpam-6517	376	33	28	28	NUM
ejpam-6517	376	34	]	]	PUNCT
ejpam-6517	376	35	,	,	PUNCT
ejpam-6517	376	36	so	so	ADV
ejpam-6517	376	37	we	we	PRON
ejpam-6517	376	38	choose	choose	VERB
ejpam-6517	376	39	that	that	PRON
ejpam-6517	376	40	k	k	PROPN
ejpam-6517	376	41	=	=	PUNCT
ejpam-6517	376	42	k∗	k∗	PROPN
ejpam-6517	376	43	as	as	ADP
ejpam-6517	376	44	bifurcation	bifurcation	NOUN
ejpam-6517	376	45	parameter	parameter	NOUN
ejpam-6517	376	46	when	when	SCONJ
ejpam-6517	376	47	r0	r0	NOUN
ejpam-6517	376	48	=	=	NOUN
ejpam-6517	376	49	1	1	NUM
ejpam-6517	376	50	and	and	CCONJ
ejpam-6517	376	51	assume	assume	VERB
ejpam-6517	376	52	that	that	SCONJ
ejpam-6517	376	53	equilibrium	equilibrium	NOUN
ejpam-6517	376	54	point	point	NOUN
ejpam-6517	376	55	exist	exist	VERB
ejpam-6517	376	56	around	around	ADP
ejpam-6517	376	57	the	the	DET
ejpam-6517	376	58	bifurcation	bifurcation	NOUN
ejpam-6517	376	59	point	point	NOUN
ejpam-6517	376	60	.	.	PUNCT
ejpam-6517	377	1	k∗	k∗	NOUN
ejpam-6517	378	1	=	=	PUNCT
ejpam-6517	378	2	k	k	PROPN
ejpam-6517	378	3	=	=	PRON
ejpam-6517	378	4	(	(	PUNCT
ejpam-6517	378	5	α+	α+	PUNCT
ejpam-6517	378	6	r1	r1	NOUN
ejpam-6517	378	7	+	+	CCONJ
ejpam-6517	378	8	µ0)(θ	µ0)(θ	PROPN
ejpam-6517	378	9	+	+	CCONJ
ejpam-6517	378	10	d1	d1	PROPN
ejpam-6517	378	11	+	+	CCONJ
ejpam-6517	378	12	µ0)(c2	µ0)(c2	PROPN
ejpam-6517	378	13	+	+	CCONJ
ejpam-6517	378	14	c1	c1	PROPN
ejpam-6517	378	15	+	+	CCONJ
ejpam-6517	378	16	µ0	µ0	PROPN
ejpam-6517	378	17	)	)	PUNCT
ejpam-6517	378	18	α(c1	α(c1	NOUN
ejpam-6517	379	1	+	+	CCONJ
ejpam-6517	379	2	µ0	µ0	NUM
ejpam-6517	379	3	)	)	PUNCT
ejpam-6517	379	4	=	=	PRON
ejpam-6517	379	5	k2k3(c2	k2k3(c2	VERB
ejpam-6517	379	6	+	+	CCONJ
ejpam-6517	379	7	c1	c1	PROPN
ejpam-6517	379	8	+	+	CCONJ
ejpam-6517	379	9	µ0	µ0	PROPN
ejpam-6517	379	10	)	)	PUNCT
ejpam-6517	379	11	k1α	k1α	PROPN
ejpam-6517	379	12	.	.	PUNCT
ejpam-6517	380	1	(	(	PUNCT
ejpam-6517	380	2	14	14	NUM
ejpam-6517	380	3	)	)	PUNCT
ejpam-6517	380	4	so	so	SCONJ
ejpam-6517	380	5	the	the	DET
ejpam-6517	380	6	jacobian	jacobian	ADJ
ejpam-6517	380	7	matrix	matrix	NOUN
ejpam-6517	380	8	can	can	AUX
ejpam-6517	380	9	be	be	AUX
ejpam-6517	380	10	calculated	calculate	VERB
ejpam-6517	380	11	at	at	ADP
ejpam-6517	380	12	disease	disease	NOUN
ejpam-6517	380	13	-	-	PUNCT
ejpam-6517	380	14	free	free	ADJ
ejpam-6517	380	15	equilibrium	equilibrium	NOUN
ejpam-6517	380	16	point	point	NOUN
ejpam-6517	380	17	f0	f0	PROPN
ejpam-6517	380	18	with	with	ADP
ejpam-6517	380	19	k∗	k∗	PROPN
ejpam-6517	380	20	as	as	ADP
ejpam-6517	380	21	j(f	j(f	PROPN
ejpam-6517	380	22	0	0	NUM
ejpam-6517	380	23	,	,	PUNCT
ejpam-6517	380	24	k∗	k∗	PROPN
ejpam-6517	380	25	)	)	PUNCT
ejpam-6517	381	1	=	=	PRON
ejpam-6517	381	2			VERB
ejpam-6517	381	3	−(c2	−(c2	NUM
ejpam-6517	381	4	+	+	SYM
ejpam-6517	381	5	µ0	µ0	NOUN
ejpam-6517	381	6	)	)	PUNCT
ejpam-6517	381	7	c1	c1	NOUN
ejpam-6517	381	8	0	0	NUM
ejpam-6517	381	9	−k∗µ0	−k∗µ0	PROPN
ejpam-6517	381	10	(	(	PUNCT
ejpam-6517	381	11	c2+µ0)(c1+µ0)−c1c2	c2+µ0)(c1+µ0)−c1c2	NOUN
ejpam-6517	381	12	0	0	PROPN
ejpam-6517	381	13	c2	c2	PROPN
ejpam-6517	381	14	−(c1	−(c1	PRON
ejpam-6517	381	15	+	+	SYM
ejpam-6517	381	16	µ0	µ0	NOUN
ejpam-6517	381	17	)	)	PUNCT
ejpam-6517	381	18	0	0	NUM
ejpam-6517	381	19	0	0	NUM
ejpam-6517	381	20	0	0	NUM
ejpam-6517	381	21	0	0	NUM
ejpam-6517	381	22	0	0	NUM
ejpam-6517	382	1	−(α+	−(α+	NUM
ejpam-6517	382	2	r1	r1	PROPN
ejpam-6517	382	3	+	+	CCONJ
ejpam-6517	382	4	µ0	µ0	NOUN
ejpam-6517	382	5	)	)	PUNCT
ejpam-6517	382	6	k∗µ0	k∗µ0	NOUN
ejpam-6517	382	7	(	(	PUNCT
ejpam-6517	382	8	c2+µ0)(c1+µ0)−c1c2	c2+µ0)(c1+µ0)−c1c2	NOUN
ejpam-6517	382	9	0	0	NUM
ejpam-6517	382	10	0	0	NUM
ejpam-6517	382	11	0	0	NUM
ejpam-6517	383	1	α	α	DET
ejpam-6517	383	2	−(θ	−(θ	NOUN
ejpam-6517	383	3	+	+	CCONJ
ejpam-6517	383	4	d1	d1	PROPN
ejpam-6517	383	5	+	+	CCONJ
ejpam-6517	383	6	µ0	µ0	NOUN
ejpam-6517	383	7	)	)	PUNCT
ejpam-6517	383	8	0	0	NUM
ejpam-6517	383	9	0	0	NUM
ejpam-6517	383	10	0	0	NUM
ejpam-6517	383	11	0	0	NUM
ejpam-6517	383	12	θ	θ	NOUN
ejpam-6517	383	13	−(r2	−(r2	NOUN
ejpam-6517	383	14	+	+	CCONJ
ejpam-6517	383	15	d2	d2	PROPN
ejpam-6517	383	16	+	+	CCONJ
ejpam-6517	383	17	µ0	µ0	NOUN
ejpam-6517	383	18	)	)	PUNCT
ejpam-6517	383	19			NOUN
ejpam-6517	383	20	.	.	PUNCT
ejpam-6517	384	1	since	since	SCONJ
ejpam-6517	384	2	the	the	DET
ejpam-6517	384	3	jacobian	jacobian	ADJ
ejpam-6517	384	4	matrix	matrix	NOUN
ejpam-6517	384	5	having	have	VERB
ejpam-6517	384	6	a	a	DET
ejpam-6517	384	7	simple	simple	ADJ
ejpam-6517	384	8	eigenvalue	eigenvalue	NOUN
ejpam-6517	384	9	at	at	ADP
ejpam-6517	384	10	k∗.so	k∗.so	PROPN
ejpam-6517	384	11	it	it	PRON
ejpam-6517	384	12	can	can	AUX
ejpam-6517	384	13	be	be	AUX
ejpam-6517	384	14	seen	see	VERB
ejpam-6517	384	15	that	that	SCONJ
ejpam-6517	384	16	the	the	DET
ejpam-6517	384	17	left	left	ADJ
ejpam-6517	384	18	and	and	CCONJ
ejpam-6517	384	19	right	right	ADJ
ejpam-6517	384	20	eigenvectors	eigenvector	NOUN
ejpam-6517	384	21	that	that	PRON
ejpam-6517	384	22	is	be	AUX
ejpam-6517	384	23	denoted	denote	VERB
ejpam-6517	384	24	byw	byw	PROPN
ejpam-6517	384	25	=	=	SYM
ejpam-6517	384	26	(	(	PUNCT
ejpam-6517	384	27	w1	w1	NOUN
ejpam-6517	384	28	,	,	PUNCT
ejpam-6517	384	29	w2	w2	NOUN
ejpam-6517	384	30	,	,	PUNCT
ejpam-6517	384	31	w3	w3	PROPN
ejpam-6517	384	32	,	,	PUNCT
ejpam-6517	384	33	w4	w4	NOUN
ejpam-6517	384	34	,	,	PUNCT
ejpam-6517	384	35	w5	w5	PROPN
ejpam-6517	384	36	)	)	PUNCT
ejpam-6517	384	37	and	and	CCONJ
ejpam-6517	384	38	v	v	NOUN
ejpam-6517	384	39	=	=	SYM
ejpam-6517	384	40	(	(	PUNCT
ejpam-6517	384	41	v1	v1	PROPN
ejpam-6517	384	42	,	,	PUNCT
ejpam-6517	384	43	v2	v2	PROPN
ejpam-6517	384	44	,	,	PUNCT
ejpam-6517	384	45	v3	v3	PROPN
ejpam-6517	384	46	,	,	PUNCT
ejpam-6517	384	47	v4	v4	PROPN
ejpam-6517	384	48	,	,	PUNCT
ejpam-6517	384	49	v5	v5	PROPN
ejpam-6517	384	50	)	)	PUNCT
ejpam-6517	384	51	respectively	respectively	ADV
ejpam-6517	384	52	and	and	CCONJ
ejpam-6517	384	53	calculated	calculate	VERB
ejpam-6517	384	54	as	as	ADP
ejpam-6517	384	55	;	;	PUNCT
ejpam-6517	384	56	m.	m.	NOUN
ejpam-6517	384	57	mohiudin	mohiudin	PROPN
ejpam-6517	384	58	et	et	PROPN
ejpam-6517	384	59	al	al	PROPN
ejpam-6517	384	60	.	.	PUNCT
ejpam-6517	384	61	/	/	SYM
ejpam-6517	384	62	eur	eur	PROPN
ejpam-6517	384	63	.	.	PUNCT
ejpam-6517	385	1	j.	j.	PROPN
ejpam-6517	385	2	pure	pure	PROPN
ejpam-6517	385	3	appl	appl	PROPN
ejpam-6517	385	4	.	.	PROPN
ejpam-6517	385	5	math	math	PROPN
ejpam-6517	385	6	,	,	PUNCT
ejpam-6517	385	7	18	18	NUM
ejpam-6517	385	8	(	(	PUNCT
ejpam-6517	385	9	3	3	NUM
ejpam-6517	385	10	)	)	PUNCT
ejpam-6517	385	11	(	(	PUNCT
ejpam-6517	385	12	2025	2025	NUM
ejpam-6517	385	13	)	)	PUNCT
ejpam-6517	385	14	,	,	PUNCT
ejpam-6517	385	15	6517	6517	NUM
ejpam-6517	385	16	17	17	NUM
ejpam-6517	385	17	of	of	ADP
ejpam-6517	385	18	40	40	NUM
ejpam-6517	385	19	w1	w1	NOUN
ejpam-6517	385	20	=	=	SYM
ejpam-6517	385	21	(	(	PUNCT
ejpam-6517	385	22	c1	c1	PROPN
ejpam-6517	385	23	+	+	CCONJ
ejpam-6517	385	24	µ0	µ0	PROPN
ejpam-6517	385	25	c2	c2	PROPN
ejpam-6517	385	26	)	)	PUNCT
ejpam-6517	385	27	w2	w2	PROPN
ejpam-6517	385	28	>	>	X
ejpam-6517	385	29	0	0	PROPN
ejpam-6517	385	30	,	,	PUNCT
ejpam-6517	385	31	w2	w2	NOUN
ejpam-6517	385	32	>	>	X
ejpam-6517	385	33	0	0	PROPN
ejpam-6517	385	34	,	,	PUNCT
ejpam-6517	385	35	w3	w3	NOUN
ejpam-6517	385	36	=	=	SYM
ejpam-6517	385	37	(	(	PUNCT
ejpam-6517	385	38	θ	θ	PROPN
ejpam-6517	385	39	+	+	CCONJ
ejpam-6517	385	40	eta1	eta1	NOUN
ejpam-6517	385	41	+	+	CCONJ
ejpam-6517	385	42	µ0	µ0	NOUN
ejpam-6517	385	43	α	α	NOUN
ejpam-6517	385	44	)	)	PUNCT
ejpam-6517	385	45	w4	w4	NOUN
ejpam-6517	385	46	>	>	X
ejpam-6517	385	47	0	0	PROPN
ejpam-6517	385	48	,	,	PUNCT
ejpam-6517	385	49	w4	w4	NOUN
ejpam-6517	385	50	>	>	X
ejpam-6517	385	51	0	0	PROPN
ejpam-6517	385	52	,	,	PUNCT
ejpam-6517	385	53	w5	w5	PROPN
ejpam-6517	385	54	=	=	PUNCT
ejpam-6517	385	55	(	(	PUNCT
ejpam-6517	385	56	θ	θ	PROPN
ejpam-6517	385	57	r2	r2	PROPN
ejpam-6517	385	58	+	+	CCONJ
ejpam-6517	385	59	d2	d2	PROPN
ejpam-6517	385	60	+	+	CCONJ
ejpam-6517	385	61	µ0	µ0	NOUN
ejpam-6517	385	62	)	)	PUNCT
ejpam-6517	385	63	w4	w4	NOUN
ejpam-6517	385	64	>	>	X
ejpam-6517	385	65	0	0	NUM
ejpam-6517	385	66	,	,	PUNCT
ejpam-6517	385	67	and	and	CCONJ
ejpam-6517	385	68	v1	v1	NOUN
ejpam-6517	385	69	=	=	SYM
ejpam-6517	385	70	(	(	PUNCT
ejpam-6517	385	71	k2k3(c2	k2k3(c2	X
ejpam-6517	385	72	+	+	CCONJ
ejpam-6517	385	73	µ0)(c2	µ0)(c2	PROPN
ejpam-6517	385	74	+	+	CCONJ
ejpam-6517	385	75	c1	c1	PROPN
ejpam-6517	385	76	+	+	CCONJ
ejpam-6517	385	77	µ0)−	µ0)−	PROPN
ejpam-6517	385	78	k∗α(c1	k∗α(c1	PROPN
ejpam-6517	385	79	+	+	CCONJ
ejpam-6517	385	80	µ0	µ0	NOUN
ejpam-6517	385	81	)	)	PUNCT
ejpam-6517	385	82	k2k∗(c1	k2k∗(c1	PROPN
ejpam-6517	385	83	+	+	SYM
ejpam-6517	385	84	µ0	µ0	NUM
ejpam-6517	385	85	)	)	PUNCT
ejpam-6517	385	86	)	)	PUNCT
ejpam-6517	385	87	v4	v4	NOUN
ejpam-6517	385	88	,	,	PUNCT
ejpam-6517	385	89	=	=	PUNCT
ejpam-6517	385	90	(	(	PUNCT
ejpam-6517	385	91	k0k2k3(c2	k0k2k3(c2	PROPN
ejpam-6517	385	92	+	+	X
ejpam-6517	385	93	c1	c1	PROPN
ejpam-6517	385	94	+	+	CCONJ
ejpam-6517	385	95	µ0)−	µ0)−	PROPN
ejpam-6517	385	96	k1k	k1k	X
ejpam-6517	385	97	∗α	∗α	PROPN
ejpam-6517	385	98	k1k2k∗	k1k2k∗	NOUN
ejpam-6517	385	99	)	)	PUNCT
ejpam-6517	385	100	v4	v4	PROPN
ejpam-6517	385	101	,	,	PUNCT
ejpam-6517	385	102	v2	v2	PROPN
ejpam-6517	385	103	>	>	X
ejpam-6517	385	104	0	0	PROPN
ejpam-6517	385	105	,	,	PUNCT
ejpam-6517	385	106	v3	v3	PROPN
ejpam-6517	385	107	=	=	SYM
ejpam-6517	385	108	(	(	PUNCT
ejpam-6517	385	109	α	α	PROPN
ejpam-6517	385	110	k2	k2	PROPN
ejpam-6517	385	111	)	)	PUNCT
ejpam-6517	385	112	v4	v4	NOUN
ejpam-6517	385	113	,	,	PUNCT
ejpam-6517	385	114	v4	v4	PROPN
ejpam-6517	385	115	>	>	X
ejpam-6517	385	116	0	0	PROPN
ejpam-6517	385	117	,	,	PUNCT
ejpam-6517	385	118	v5	v5	PROPN
ejpam-6517	385	119	=	=	SYM
ejpam-6517	385	120	0	0	NUM
ejpam-6517	385	121	.	.	PUNCT
ejpam-6517	385	122	evaluation	evaluation	NOUN
ejpam-6517	385	123	of	of	ADP
ejpam-6517	385	124	a	a	PRON
ejpam-6517	385	125	:	:	PUNCT
ejpam-6517	385	126	by	by	ADP
ejpam-6517	385	127	using	use	VERB
ejpam-6517	385	128	,	,	PUNCT
ejpam-6517	385	129	∂2g1	∂2g1	PUNCT
ejpam-6517	385	130	∂x1∂x4	∂x1∂x4	ADJ
ejpam-6517	385	131	=	=	X
ejpam-6517	385	132	−kµ0	−kµ0	PROPN
ejpam-6517	385	133	b	b	PROPN
ejpam-6517	385	134	,	,	PUNCT
ejpam-6517	385	135	∂2g3	∂2g3	PROPN
ejpam-6517	385	136	∂x3∂x4	∂x3∂x4	VERB
ejpam-6517	385	137	=	=	NOUN
ejpam-6517	386	1	kµ0	kµ0	PROPN
ejpam-6517	386	2	b	b	NOUN
ejpam-6517	386	3	,	,	PUNCT
ejpam-6517	386	4	we	we	PRON
ejpam-6517	386	5	calculate	calculate	VERB
ejpam-6517	386	6	a	a	PRON
ejpam-6517	386	7	from	from	ADP
ejpam-6517	386	8	a	a	DET
ejpam-6517	386	9	=	=	SYM
ejpam-6517	386	10	2v1w1w4	2v1w1w4	NUM
ejpam-6517	386	11	∂2g1	∂2g1	SYM
ejpam-6517	386	12	∂x1∂x4	∂x1∂x4	ADJ
ejpam-6517	386	13	+	+	NOUN
ejpam-6517	386	14	2v3w1w4	2v3w1w4	NUM
ejpam-6517	386	15	∂2g3	∂2g3	X
ejpam-6517	386	16	∂x3∂x4	∂x3∂x4	X
ejpam-6517	386	17	,	,	PUNCT
ejpam-6517	386	18	after	after	ADP
ejpam-6517	386	19	simplification	simplification	NOUN
ejpam-6517	386	20	,	,	PUNCT
ejpam-6517	386	21	we	we	PRON
ejpam-6517	386	22	have	have	VERB
ejpam-6517	386	23	a	a	DET
ejpam-6517	386	24	=	=	SYM
ejpam-6517	386	25	2	2	NUM
ejpam-6517	386	26	k1	k1	NOUN
ejpam-6517	386	27	c2	c2	PROPN
ejpam-6517	386	28	kµ0	kµ0	PROPN
ejpam-6517	386	29	b	b	PROPN
ejpam-6517	386	30	w2w4	w2w4	PROPN
ejpam-6517	386	31	[	[	X
ejpam-6517	386	32	(	(	PUNCT
ejpam-6517	386	33	α	α	PROPN
ejpam-6517	386	34	k2	k2	PROPN
ejpam-6517	386	35	)	)	PUNCT
ejpam-6517	387	1	+	+	CCONJ
ejpam-6517	387	2	(	(	PUNCT
ejpam-6517	387	3	k0k	k0k	X
ejpam-6517	387	4	∗α−	∗α−	VERB
ejpam-6517	387	5	k0k2k3(c2	k0k2k3(c2	PROPN
ejpam-6517	387	6	+	+	PROPN
ejpam-6517	387	7	c1	c1	PROPN
ejpam-6517	387	8	+	+	CCONJ
ejpam-6517	387	9	µ0	µ0	PROPN
ejpam-6517	387	10	)	)	PUNCT
ejpam-6517	387	11	k1k2k∗	k1k2k∗	NOUN
ejpam-6517	387	12	)	)	PUNCT
ejpam-6517	388	1	]	]	PUNCT
ejpam-6517	388	2	v4	v4	NOUN
ejpam-6517	388	3	,	,	PUNCT
ejpam-6517	388	4	since	since	ADV
ejpam-6517	388	5	,	,	PUNCT
ejpam-6517	388	6	we	we	PRON
ejpam-6517	388	7	seen	see	VERB
ejpam-6517	388	8	that	that	SCONJ
ejpam-6517	388	9	all	all	DET
ejpam-6517	388	10	the	the	DET
ejpam-6517	388	11	terms	term	NOUN
ejpam-6517	388	12	in	in	ADP
ejpam-6517	388	13	expression	expression	NOUN
ejpam-6517	388	14	of	of	ADP
ejpam-6517	388	15	a	a	PRON
ejpam-6517	388	16	is	be	AUX
ejpam-6517	388	17	positive	positive	ADJ
ejpam-6517	388	18	except	except	SCONJ
ejpam-6517	388	19	k0k	k0k	PROPN
ejpam-6517	388	20	∗α−	∗α−	PROPN
ejpam-6517	388	21	k0k2k3(c2	k0k2k3(c2	PROPN
ejpam-6517	388	22	+	+	PROPN
ejpam-6517	388	23	c1	c1	PROPN
ejpam-6517	388	24	+	+	CCONJ
ejpam-6517	388	25	µ0	µ0	NUM
ejpam-6517	388	26	)	)	PUNCT
ejpam-6517	388	27	,	,	PUNCT
ejpam-6517	388	28	so	so	ADV
ejpam-6517	388	29	a	a	DET
ejpam-6517	388	30	>	>	X
ejpam-6517	388	31	0	0	NUM
ejpam-6517	388	32	,	,	PUNCT
ejpam-6517	388	33	iff	iff	PROPN
ejpam-6517	388	34	k0k	k0k	PROPN
ejpam-6517	388	35	∗α−	∗α−	PROPN
ejpam-6517	388	36	k0k2k3(c2	k0k2k3(c2	PROPN
ejpam-6517	388	37	+	+	PROPN
ejpam-6517	388	38	c1	c1	PROPN
ejpam-6517	388	39	+	+	CCONJ
ejpam-6517	388	40	µ0	µ0	PROPN
ejpam-6517	388	41	)	)	PUNCT
ejpam-6517	388	42	>	>	X
ejpam-6517	388	43	0	0	NUM
ejpam-6517	388	44	,	,	PUNCT
ejpam-6517	388	45	or	or	CCONJ
ejpam-6517	388	46	simplify	simplify	VERB
ejpam-6517	388	47	as	as	ADP
ejpam-6517	388	48	k1	k1	NOUN
ejpam-6517	388	49	<	<	X
ejpam-6517	388	50	1	1	NUM
ejpam-6517	388	51	.	.	PUNCT
ejpam-6517	388	52	evaluation	evaluation	NOUN
ejpam-6517	388	53	of	of	ADP
ejpam-6517	388	54	b	b	NOUN
ejpam-6517	388	55	:	:	PUNCT
ejpam-6517	388	56	∂2g1	∂2g1	PUNCT
ejpam-6517	388	57	∂x4∂k∗	∂x4∂k∗	PUNCT
ejpam-6517	388	58	=	=	SYM
ejpam-6517	388	59	∂2g1	∂2g1	PUNCT
ejpam-6517	388	60	∂k∗∂x4	∂k∗∂x4	X
ejpam-6517	388	61	=	=	PUNCT
ejpam-6517	388	62	−	−	PROPN
ejpam-6517	388	63	c1	c1	NOUN
ejpam-6517	388	64	+	+	CCONJ
ejpam-6517	388	65	µ0	µ0	PROPN
ejpam-6517	388	66	(	(	PUNCT
ejpam-6517	388	67	c2	c2	PROPN
ejpam-6517	388	68	+	+	CCONJ
ejpam-6517	388	69	µ0)(c2	µ0)(c2	PROPN
ejpam-6517	388	70	+	+	CCONJ
ejpam-6517	388	71	c1	c1	PROPN
ejpam-6517	388	72	+	+	CCONJ
ejpam-6517	388	73	µ0	µ0	NUM
ejpam-6517	388	74	)	)	PUNCT
ejpam-6517	388	75	=	=	SYM
ejpam-6517	388	76	−	−	PROPN
ejpam-6517	388	77	k1	k1	NOUN
ejpam-6517	388	78	k0(c2	k0(c2	NOUN
ejpam-6517	388	79	+	+	PROPN
ejpam-6517	388	80	c1	c1	PROPN
ejpam-6517	388	81	+	+	CCONJ
ejpam-6517	388	82	µ0	µ0	NUM
ejpam-6517	388	83	)	)	PUNCT
ejpam-6517	388	84	.	.	PUNCT
ejpam-6517	389	1	as	as	ADP
ejpam-6517	389	2	;	;	PUNCT
ejpam-6517	389	3	b	b	X
ejpam-6517	389	4	=	=	SYM
ejpam-6517	389	5	v1w4	v1w4	X
ejpam-6517	389	6	∂2g1	∂2g1	PUNCT
ejpam-6517	389	7	∂x4∂k∗	∂x4∂k∗	PUNCT
ejpam-6517	389	8	+	+	X
ejpam-6517	389	9	v3w4	v3w4	X
ejpam-6517	389	10	∂2g3	∂2g3	PROPN
ejpam-6517	389	11	∂x4∂k∗	∂x4∂k∗	X
ejpam-6517	389	12	,	,	PUNCT
ejpam-6517	389	13	m.	m.	NOUN
ejpam-6517	389	14	mohiudin	mohiudin	PROPN
ejpam-6517	389	15	et	et	PROPN
ejpam-6517	389	16	al	al	PROPN
ejpam-6517	389	17	.	.	PUNCT
ejpam-6517	389	18	/	/	SYM
ejpam-6517	389	19	eur	eur	PROPN
ejpam-6517	389	20	.	.	PUNCT
ejpam-6517	390	1	j.	j.	PROPN
ejpam-6517	390	2	pure	pure	PROPN
ejpam-6517	390	3	appl	appl	PROPN
ejpam-6517	390	4	.	.	PROPN
ejpam-6517	390	5	math	math	PROPN
ejpam-6517	390	6	,	,	PUNCT
ejpam-6517	390	7	18	18	NUM
ejpam-6517	390	8	(	(	PUNCT
ejpam-6517	390	9	3	3	NUM
ejpam-6517	390	10	)	)	PUNCT
ejpam-6517	390	11	(	(	PUNCT
ejpam-6517	390	12	2025	2025	NUM
ejpam-6517	390	13	)	)	PUNCT
ejpam-6517	390	14	,	,	PUNCT
ejpam-6517	390	15	6517	6517	NUM
ejpam-6517	390	16	18	18	NUM
ejpam-6517	390	17	of	of	ADP
ejpam-6517	390	18	40	40	NUM
ejpam-6517	390	19	putting	put	VERB
ejpam-6517	390	20	the	the	DET
ejpam-6517	390	21	values	value	NOUN
ejpam-6517	390	22	and	and	CCONJ
ejpam-6517	390	23	simplify	simplify	NOUN
ejpam-6517	390	24	,	,	PUNCT
ejpam-6517	390	25	we	we	PRON
ejpam-6517	390	26	have	have	VERB
ejpam-6517	390	27	b	b	NOUN
ejpam-6517	390	28	=	=	SYM
ejpam-6517	390	29	w4	w4	NOUN
ejpam-6517	390	30	k1	k1	NOUN
ejpam-6517	390	31	k0(c2	k0(c2	NOUN
ejpam-6517	390	32	+	+	PROPN
ejpam-6517	390	33	c1	c1	PROPN
ejpam-6517	390	34	+	+	CCONJ
ejpam-6517	390	35	µ0	µ0	PROPN
ejpam-6517	390	36	)	)	PUNCT
ejpam-6517	391	1	[	[	X
ejpam-6517	391	2	(	(	PUNCT
ejpam-6517	391	3	α	α	PROPN
ejpam-6517	391	4	k2	k2	PROPN
ejpam-6517	391	5	)	)	PUNCT
ejpam-6517	392	1	+	+	CCONJ
ejpam-6517	392	2	(	(	PUNCT
ejpam-6517	392	3	k0k	k0k	X
ejpam-6517	392	4	∗α−	∗α−	VERB
ejpam-6517	392	5	k0k2k3(c2	k0k2k3(c2	PROPN
ejpam-6517	392	6	+	+	PROPN
ejpam-6517	392	7	c1	c1	PROPN
ejpam-6517	392	8	+	+	CCONJ
ejpam-6517	392	9	µ0	µ0	PROPN
ejpam-6517	392	10	)	)	PUNCT
ejpam-6517	392	11	k1k2k∗	k1k2k∗	NOUN
ejpam-6517	392	12	)	)	PUNCT
ejpam-6517	392	13	]	]	PUNCT
ejpam-6517	393	1	v4	v4	NOUN
ejpam-6517	393	2	,	,	PUNCT
ejpam-6517	393	3	since	since	SCONJ
ejpam-6517	393	4	as	as	SCONJ
ejpam-6517	393	5	we	we	PRON
ejpam-6517	393	6	seen	see	VERB
ejpam-6517	393	7	that	that	SCONJ
ejpam-6517	393	8	all	all	DET
ejpam-6517	393	9	the	the	DET
ejpam-6517	393	10	terms	term	NOUN
ejpam-6517	393	11	in	in	ADP
ejpam-6517	393	12	expression	expression	NOUN
ejpam-6517	393	13	of	of	ADP
ejpam-6517	393	14	b	b	NOUN
ejpam-6517	393	15	is	be	AUX
ejpam-6517	393	16	positive	positive	ADJ
ejpam-6517	393	17	except	except	SCONJ
ejpam-6517	393	18	k0k	k0k	PROPN
ejpam-6517	393	19	∗α	∗α	PROPN
ejpam-6517	393	20	−	−	PROPN
ejpam-6517	393	21	k0k2k3(c2	k0k2k3(c2	PROPN
ejpam-6517	393	22	+	+	X
ejpam-6517	393	23	c1	c1	PROPN
ejpam-6517	393	24	+	+	CCONJ
ejpam-6517	393	25	µ0	µ0	NUM
ejpam-6517	393	26	)	)	PUNCT
ejpam-6517	393	27	,	,	PUNCT
ejpam-6517	393	28	so	so	ADV
ejpam-6517	393	29	b	b	X
ejpam-6517	393	30	>	>	X
ejpam-6517	393	31	0	0	PROPN
ejpam-6517	393	32	,	,	PUNCT
ejpam-6517	393	33	iff	iff	PROPN
ejpam-6517	393	34	k0k	k0k	PROPN
ejpam-6517	393	35	∗α−	∗α−	PROPN
ejpam-6517	393	36	k0k2k3(c2	k0k2k3(c2	PROPN
ejpam-6517	393	37	+	+	PROPN
ejpam-6517	393	38	c1	c1	PROPN
ejpam-6517	393	39	+	+	CCONJ
ejpam-6517	393	40	µ0	µ0	PROPN
ejpam-6517	393	41	)	)	PUNCT
ejpam-6517	393	42	>	>	X
ejpam-6517	393	43	0	0	NUM
ejpam-6517	393	44	,	,	PUNCT
ejpam-6517	393	45	or	or	CCONJ
ejpam-6517	393	46	simplify	simplify	VERB
ejpam-6517	393	47	as	as	ADP
ejpam-6517	393	48	k1	k1	NOUN
ejpam-6517	393	49	<	<	X
ejpam-6517	393	50	1	1	NUM
ejpam-6517	393	51	.	.	PUNCT
ejpam-6517	393	52	according	accord	VERB
ejpam-6517	393	53	to	to	ADP
ejpam-6517	393	54	center	center	PROPN
ejpam-6517	393	55	monifold	monifold	ADJ
ejpam-6517	393	56	theory	theory	NOUN
ejpam-6517	393	57	[	[	X
ejpam-6517	393	58	28	28	NUM
ejpam-6517	393	59	]	]	PUNCT
ejpam-6517	393	60	and	and	CCONJ
ejpam-6517	393	61	[	[	X
ejpam-6517	393	62	29	29	NUM
ejpam-6517	393	63	]	]	PUNCT
ejpam-6517	393	64	,	,	PUNCT
ejpam-6517	393	65	the	the	DET
ejpam-6517	393	66	system	system	NOUN
ejpam-6517	393	67	(	(	PUNCT
ejpam-6517	393	68	1	1	X
ejpam-6517	393	69	)	)	PUNCT
ejpam-6517	393	70	is	be	AUX
ejpam-6517	393	71	locally	locally	ADV
ejpam-6517	393	72	asymptotically	asymptotically	ADV
ejpam-6517	393	73	stable	stable	ADJ
ejpam-6517	393	74	(	(	PUNCT
ejpam-6517	393	75	las	las	NOUN
ejpam-6517	393	76	)	)	PUNCT
ejpam-6517	393	77	around	around	ADP
ejpam-6517	393	78	the	the	DET
ejpam-6517	393	79	bifurcation	bifurcation	NOUN
ejpam-6517	393	80	point	point	NOUN
ejpam-6517	393	81	at	at	ADP
ejpam-6517	393	82	the	the	DET
ejpam-6517	393	83	endemic	endemic	ADJ
ejpam-6517	393	84	equilibrium	equilibrium	NOUN
ejpam-6517	393	85	point	point	NOUN
ejpam-6517	393	86	,	,	PUNCT
ejpam-6517	393	87	as	as	ADP
ejpam-6517	393	88	a	a	DET
ejpam-6517	393	89	>	>	X
ejpam-6517	393	90	0	0	NUM
ejpam-6517	393	91	and	and	CCONJ
ejpam-6517	393	92	b	b	X
ejpam-6517	393	93	>	>	X
ejpam-6517	393	94	0	0	PUNCT
ejpam-6517	394	1	for	for	ADP
ejpam-6517	394	2	k	k	PROPN
ejpam-6517	394	3	<	<	X
ejpam-6517	394	4	1	1	X
ejpam-6517	394	5	.	.	PUNCT
ejpam-6517	394	6	as	as	ADP
ejpam-6517	394	7	a	a	DET
ejpam-6517	394	8	result	result	NOUN
ejpam-6517	394	9	,	,	PUNCT
ejpam-6517	394	10	when	when	SCONJ
ejpam-6517	394	11	r0	r0	NOUN
ejpam-6517	394	12	=	=	SYM
ejpam-6517	394	13	1	1	NUM
ejpam-6517	394	14	,	,	PUNCT
ejpam-6517	394	15	system	system	NOUN
ejpam-6517	394	16	(	(	PUNCT
ejpam-6517	394	17	1	1	X
ejpam-6517	394	18	)	)	PUNCT
ejpam-6517	394	19	enters	enter	VERB
ejpam-6517	394	20	backward	backward	ADJ
ejpam-6517	394	21	bifurcation	bifurcation	NOUN
ejpam-6517	394	22	mode	mode	NOUN
ejpam-6517	394	23	.	.	PUNCT
ejpam-6517	395	1	because	because	SCONJ
ejpam-6517	395	2	the	the	DET
ejpam-6517	395	3	endemic	endemic	ADJ
ejpam-6517	395	4	equilibrium	equilibrium	NOUN
ejpam-6517	395	5	point	point	NOUN
ejpam-6517	395	6	is	be	AUX
ejpam-6517	395	7	las	las	PROPN
ejpam-6517	395	8	,	,	PUNCT
ejpam-6517	395	9	illness	illness	NOUN
ejpam-6517	395	10	will	will	AUX
ejpam-6517	395	11	persist	persist	VERB
ejpam-6517	395	12	in	in	ADP
ejpam-6517	395	13	the	the	DET
ejpam-6517	395	14	population	population	NOUN
ejpam-6517	395	15	for	for	ADP
ejpam-6517	395	16	an	an	DET
ejpam-6517	395	17	extended	extended	ADJ
ejpam-6517	395	18	period	period	NOUN
ejpam-6517	395	19	.	.	PUNCT
ejpam-6517	396	1	5.5	5.5	NUM
ejpam-6517	396	2	.	.	PUNCT
ejpam-6517	397	1	global	global	ADJ
ejpam-6517	397	2	stability	stability	NOUN
ejpam-6517	397	3	of	of	ADP
ejpam-6517	397	4	endemic	endemic	ADJ
ejpam-6517	397	5	equilibrium	equilibrium	NOUN
ejpam-6517	397	6	(	(	PUNCT
ejpam-6517	397	7	ee	ee	NOUN
ejpam-6517	397	8	)	)	PUNCT
ejpam-6517	397	9	theorem	theorem	VERB
ejpam-6517	397	10	9	9	NUM
ejpam-6517	397	11	.	.	PUNCT
ejpam-6517	398	1	“	"	PUNCT
ejpam-6517	398	2	if	if	SCONJ
ejpam-6517	398	3	r0	r0	VERB
ejpam-6517	398	4	≥	≥	NOUN
ejpam-6517	398	5	1	1	NUM
ejpam-6517	398	6	,	,	PUNCT
ejpam-6517	398	7	the	the	DET
ejpam-6517	398	8	dee	dee	NOUN
ejpam-6517	398	9	of	of	ADP
ejpam-6517	398	10	the	the	DET
ejpam-6517	398	11	system	system	NOUN
ejpam-6517	398	12	(	(	PUNCT
ejpam-6517	398	13	1	1	NUM
ejpam-6517	398	14	)	)	PUNCT
ejpam-6517	398	15	about	about	ADP
ejpam-6517	398	16	an	an	DET
ejpam-6517	398	17	equilibrium	equilibrium	NOUN
ejpam-6517	398	18	point	point	NOUN
ejpam-6517	398	19	f∗	f∗	NOUN
ejpam-6517	398	20	is	be	AUX
ejpam-6517	398	21	(	(	PUNCT
ejpam-6517	398	22	gas	gas	NOUN
ejpam-6517	398	23	)	)	PUNCT
ejpam-6517	398	24	globally	globally	ADV
ejpam-6517	398	25	asymptotically	asymptotically	ADV
ejpam-6517	398	26	stable	stable	ADJ
ejpam-6517	398	27	otherwise	otherwise	ADV
ejpam-6517	398	28	unstable	unstable	ADJ
ejpam-6517	398	29	.	.	PUNCT
ejpam-6517	399	1	proof	proof	NOUN
ejpam-6517	399	2	.	.	PUNCT
ejpam-6517	400	1	consider	consider	VERB
ejpam-6517	400	2	a	a	DET
ejpam-6517	400	3	lyapunov	lyapunov	NOUN
ejpam-6517	400	4	function	function	NOUN
ejpam-6517	400	5	u1(t	u1(t	ADP
ejpam-6517	400	6	)	)	PUNCT
ejpam-6517	400	7	:	:	PUNCT
ejpam-6517	400	8	q	q	PUNCT
ejpam-6517	401	1	=	=	NOUN
ejpam-6517	401	2	⇒	⇒	NOUN
ejpam-6517	401	3	r	r	NOUN
ejpam-6517	401	4	defined	define	VERB
ejpam-6517	401	5	by	by	ADP
ejpam-6517	401	6	,	,	PUNCT
ejpam-6517	401	7	u1(t	u1(t	PROPN
ejpam-6517	401	8	)	)	PUNCT
ejpam-6517	401	9	=	=	SYM
ejpam-6517	402	1	(	(	PUNCT
ejpam-6517	402	2	s−	s−	PROPN
ejpam-6517	402	3	s∗	s∗	VERB
ejpam-6517	402	4	−	−	PROPN
ejpam-6517	402	5	s∗	s∗	PROPN
ejpam-6517	402	6	ln	ln	PROPN
ejpam-6517	402	7	s(t	s(t	PROPN
ejpam-6517	402	8	)	)	PUNCT
ejpam-6517	402	9	s∗	s∗	PROPN
ejpam-6517	402	10	)	)	PUNCT
ejpam-6517	403	1	+	+	CCONJ
ejpam-6517	403	2	(	(	PUNCT
ejpam-6517	403	3	v−	v−	PROPN
ejpam-6517	403	4	v∗	v∗	VERB
ejpam-6517	403	5	−	−	PROPN
ejpam-6517	403	6	v∗	v∗	PROPN
ejpam-6517	403	7	lnv(t	lnv(t	PROPN
ejpam-6517	403	8	)	)	PUNCT
ejpam-6517	403	9	v∗	v∗	NOUN
ejpam-6517	403	10	)	)	PUNCT
ejpam-6517	404	1	+	+	CCONJ
ejpam-6517	404	2	(	(	PUNCT
ejpam-6517	404	3	e−	e−	PROPN
ejpam-6517	404	4	e∗	e∗	PROPN
ejpam-6517	404	5	−	−	PROPN
ejpam-6517	404	6	e∗	e∗	PROPN
ejpam-6517	404	7	lne(t	lne(t	PROPN
ejpam-6517	404	8	)	)	PUNCT
ejpam-6517	404	9	e∗	e∗	NOUN
ejpam-6517	404	10	)	)	PUNCT
ejpam-6517	405	1	+	+	CCONJ
ejpam-6517	405	2	(	(	PUNCT
ejpam-6517	405	3	i−	i−	ADJ
ejpam-6517	405	4	i∗	i∗	NOUN
ejpam-6517	405	5	−	−	PROPN
ejpam-6517	405	6	i∗	i∗	NOUN
ejpam-6517	405	7	ln	ln	ADJ
ejpam-6517	405	8	i(t	i(t	PROPN
ejpam-6517	405	9	)	)	PUNCT
ejpam-6517	405	10	i∗	i∗	NOUN
ejpam-6517	405	11	)	)	PUNCT
ejpam-6517	406	1	+	+	CCONJ
ejpam-6517	406	2	t∗	t∗	NOUN
ejpam-6517	406	3	(	(	PUNCT
ejpam-6517	406	4	k2	k2	NOUN
ejpam-6517	406	5	+	+	CCONJ
ejpam-6517	406	6	1	1	NUM
ejpam-6517	406	7	θi∗	θi∗	NUM
ejpam-6517	406	8	)	)	PUNCT
ejpam-6517	406	9	(	(	PUNCT
ejpam-6517	406	10	t−	t−	PROPN
ejpam-6517	406	11	t∗	t∗	NOUN
ejpam-6517	406	12	−	−	PROPN
ejpam-6517	406	13	t∗	t∗	NOUN
ejpam-6517	406	14	lnt(t	lnt(t	PROPN
ejpam-6517	406	15	)	)	PUNCT
ejpam-6517	406	16	t∗	t∗	NOUN
ejpam-6517	406	17	)	)	PUNCT
ejpam-6517	406	18	,	,	PUNCT
ejpam-6517	406	19	we	we	PRON
ejpam-6517	406	20	want	want	VERB
ejpam-6517	406	21	to	to	PART
ejpam-6517	406	22	show	show	VERB
ejpam-6517	406	23	the	the	DET
ejpam-6517	406	24	global	global	ADJ
ejpam-6517	406	25	stability	stability	NOUN
ejpam-6517	406	26	at	at	ADP
ejpam-6517	406	27	point	point	NOUN
ejpam-6517	406	28	f∗.	f∗.	NOUN
ejpam-6517	406	29	differentiate	differentiate	NOUN
ejpam-6517	406	30	of	of	ADP
ejpam-6517	406	31	u1(t	u1(t	NOUN
ejpam-6517	406	32	)	)	PUNCT
ejpam-6517	406	33	with	with	ADP
ejpam-6517	406	34	respect	respect	NOUN
ejpam-6517	406	35	to	to	ADP
ejpam-6517	406	36	t	t	PROPN
ejpam-6517	406	37	,	,	PUNCT
ejpam-6517	406	38	gives	give	VERB
ejpam-6517	406	39	us	we	PRON
ejpam-6517	406	40	u	u	NOUN
ejpam-6517	406	41	′	′	NOUN
ejpam-6517	406	42	1(t	1(t	NUM
ejpam-6517	406	43	)	)	PUNCT
ejpam-6517	407	1	=	=	SYM
ejpam-6517	407	2	(	(	PUNCT
ejpam-6517	407	3	1−	1−	NUM
ejpam-6517	407	4	s∗	s∗	PROPN
ejpam-6517	407	5	s	s	PART
ejpam-6517	407	6	)	)	PUNCT
ejpam-6517	407	7	s	s	PART
ejpam-6517	407	8	′	′	NOUN
ejpam-6517	408	1	+	+	CCONJ
ejpam-6517	408	2	(	(	PUNCT
ejpam-6517	408	3	1−	1−	NUM
ejpam-6517	408	4	v∗	v∗	NOUN
ejpam-6517	408	5	v	v	NOUN
ejpam-6517	408	6	)	)	PUNCT
ejpam-6517	408	7	v	v	NOUN
ejpam-6517	408	8	′	′	NUM
ejpam-6517	409	1	+	+	CCONJ
ejpam-6517	409	2	(	(	PUNCT
ejpam-6517	409	3	1−	1−	NUM
ejpam-6517	409	4	e∗	e∗	PROPN
ejpam-6517	409	5	e	e	X
ejpam-6517	409	6	)	)	PUNCT
ejpam-6517	410	1	e	e	X
ejpam-6517	410	2	′	′	NOUN
ejpam-6517	411	1	+	+	CCONJ
ejpam-6517	411	2	(	(	PUNCT
ejpam-6517	411	3	1−	1−	NUM
ejpam-6517	411	4	i∗	i∗	NOUN
ejpam-6517	411	5	i	i	NOUN
ejpam-6517	411	6	)	)	PUNCT
ejpam-6517	412	1	i	i	PRON
ejpam-6517	412	2	′	′	VERB
ejpam-6517	413	1	+	+	PUNCT
ejpam-6517	413	2	t∗	t∗	NOUN
ejpam-6517	413	3	(	(	PUNCT
ejpam-6517	413	4	k2	k2	NOUN
ejpam-6517	413	5	+	+	CCONJ
ejpam-6517	413	6	1	1	NUM
ejpam-6517	413	7	θi∗	θi∗	NUM
ejpam-6517	413	8	)	)	PUNCT
ejpam-6517	413	9	(	(	PUNCT
ejpam-6517	413	10	1−	1−	NUM
ejpam-6517	413	11	t∗	t∗	NOUN
ejpam-6517	413	12	t	t	PROPN
ejpam-6517	413	13	)	)	PUNCT
ejpam-6517	414	1	t	t	PROPN
ejpam-6517	414	2	′	′	NUM
ejpam-6517	414	3	,	,	PUNCT
ejpam-6517	414	4	(	(	PUNCT
ejpam-6517	414	5	15	15	X
ejpam-6517	414	6	)	)	PUNCT
ejpam-6517	414	7	let	let	AUX
ejpam-6517	414	8	consider	consider	VERB
ejpam-6517	414	9	first	first	ADJ
ejpam-6517	414	10	two	two	NUM
ejpam-6517	414	11	terms	term	NOUN
ejpam-6517	414	12	from	from	ADP
ejpam-6517	414	13	(	(	PUNCT
ejpam-6517	414	14	15	15	NUM
ejpam-6517	414	15	)	)	PUNCT
ejpam-6517	414	16	,	,	PUNCT
ejpam-6517	414	17	we	we	PRON
ejpam-6517	414	18	have	have	VERB
ejpam-6517	414	19	(	(	PUNCT
ejpam-6517	414	20	1−	1−	NUM
ejpam-6517	414	21	s∗	s∗	PROPN
ejpam-6517	414	22	s	s	PART
ejpam-6517	414	23	)	)	PUNCT
ejpam-6517	414	24	s	s	PART
ejpam-6517	414	25	′	′	NOUN
ejpam-6517	415	1	+	+	CCONJ
ejpam-6517	415	2	(	(	PUNCT
ejpam-6517	415	3	1−	1−	NUM
ejpam-6517	415	4	v∗	v∗	NOUN
ejpam-6517	415	5	v	v	NOUN
ejpam-6517	415	6	)	)	PUNCT
ejpam-6517	415	7	v	v	NOUN
ejpam-6517	415	8	′	′	NUM
ejpam-6517	415	9	=	=	PUNCT
ejpam-6517	416	1	(	(	PUNCT
ejpam-6517	416	2	1−	1−	NUM
ejpam-6517	416	3	s∗	s∗	PROPN
ejpam-6517	416	4	s	s	PART
ejpam-6517	416	5	)	)	PUNCT
ejpam-6517	416	6	(	(	PUNCT
ejpam-6517	416	7	b+	b+	X
ejpam-6517	416	8	c1v−	c1v−	VERB
ejpam-6517	416	9	kis	kis	PROPN
ejpam-6517	416	10	n	n	CCONJ
ejpam-6517	416	11	−	−	PROPN
ejpam-6517	416	12	c2s−	c2s−	PROPN
ejpam-6517	416	13	µ0s	µ0s	PUNCT
ejpam-6517	416	14	)	)	PUNCT
ejpam-6517	417	1	+	+	CCONJ
ejpam-6517	417	2	(	(	PUNCT
ejpam-6517	417	3	1−	1−	NUM
ejpam-6517	417	4	v∗	v∗	NOUN
ejpam-6517	417	5	v	v	NOUN
ejpam-6517	417	6	)	)	PUNCT
ejpam-6517	417	7	(	(	PUNCT
ejpam-6517	417	8	c2s−	c2s−	PROPN
ejpam-6517	417	9	c1v−	c1v−	VERB
ejpam-6517	417	10	µ0v	µ0v	NOUN
ejpam-6517	417	11	)	)	PUNCT
ejpam-6517	417	12	,	,	PUNCT
ejpam-6517	417	13	=	=	SYM
ejpam-6517	417	14	(	(	PUNCT
ejpam-6517	417	15	1−	1−	NUM
ejpam-6517	417	16	s∗	s∗	PROPN
ejpam-6517	417	17	s	s	PART
ejpam-6517	417	18	)	)	PUNCT
ejpam-6517	417	19	(	(	PUNCT
ejpam-6517	417	20	b+	b+	X
ejpam-6517	417	21	c1v−	c1v−	VERB
ejpam-6517	417	22	kis	kis	PROPN
ejpam-6517	417	23	n	n	CCONJ
ejpam-6517	417	24	−	−	PROPN
ejpam-6517	417	25	c2s−	c2s−	PROPN
ejpam-6517	417	26	µ0s−	µ0s−	PUNCT
ejpam-6517	417	27	c1v∗	c1v∗	NOUN
ejpam-6517	417	28	+	+	CCONJ
ejpam-6517	417	29	ki∗s∗	ki∗s∗	ADJ
ejpam-6517	417	30	n	n	PRON
ejpam-6517	417	31	∗	∗	NOUN
ejpam-6517	417	32	+	+	CCONJ
ejpam-6517	417	33	c2s∗	c2s∗	PROPN
ejpam-6517	417	34	−	−	PROPN
ejpam-6517	417	35	µ0s∗	µ0s∗	PROPN
ejpam-6517	417	36	)	)	PUNCT
ejpam-6517	417	37	,	,	PUNCT
ejpam-6517	417	38	after	after	ADP
ejpam-6517	417	39	simplification	simplification	NOUN
ejpam-6517	417	40	,	,	PUNCT
ejpam-6517	417	41	(	(	PUNCT
ejpam-6517	417	42	1−	1−	NUM
ejpam-6517	417	43	s∗	s∗	PROPN
ejpam-6517	417	44	s	s	PART
ejpam-6517	417	45	)	)	PUNCT
ejpam-6517	417	46	s	s	PART
ejpam-6517	417	47	′	′	NOUN
ejpam-6517	418	1	+	+	CCONJ
ejpam-6517	418	2	(	(	PUNCT
ejpam-6517	418	3	1−	1−	NUM
ejpam-6517	418	4	v∗	v∗	NOUN
ejpam-6517	418	5	v	v	NOUN
ejpam-6517	418	6	)	)	PUNCT
ejpam-6517	418	7	v	v	NOUN
ejpam-6517	418	8	′	′	NOUN
ejpam-6517	418	9	=	=	PUNCT
ejpam-6517	418	10	ki∗s∗	ki∗s∗	ADJ
ejpam-6517	418	11	n	n	PRON
ejpam-6517	418	12	∗	∗	NOUN
ejpam-6517	418	13	(	(	PUNCT
ejpam-6517	418	14	1−	1−	NUM
ejpam-6517	418	15	s∗	s∗	PROPN
ejpam-6517	418	16	s	s	PART
ejpam-6517	418	17	−	−	PROPN
ejpam-6517	418	18	ism∗	ism∗	ADJ
ejpam-6517	418	19	i∗s∗m	i∗s∗m	NOUN
ejpam-6517	418	20	)	)	PUNCT
ejpam-6517	419	1	+	+	CCONJ
ejpam-6517	419	2	c2s∗	c2s∗	PROPN
ejpam-6517	419	3	(	(	PUNCT
ejpam-6517	419	4	2−	2−	NUM
ejpam-6517	419	5	s∗	s∗	PROPN
ejpam-6517	419	6	s	s	PART
ejpam-6517	419	7	−	−	PROPN
ejpam-6517	419	8	sv∗	sv∗	NOUN
ejpam-6517	419	9	s∗v	s∗v	NUM
ejpam-6517	419	10	)	)	PUNCT
ejpam-6517	420	1	+	+	CCONJ
ejpam-6517	420	2	µ0s∗	µ0s∗	NOUN
ejpam-6517	420	3	(	(	PUNCT
ejpam-6517	420	4	2−	2−	NUM
ejpam-6517	420	5	s	s	PART
ejpam-6517	420	6	s∗	s∗	NOUN
ejpam-6517	420	7	−	−	PROPN
ejpam-6517	420	8	s∗	s∗	PROPN
ejpam-6517	420	9	s	s	PART
ejpam-6517	420	10	)	)	PUNCT
ejpam-6517	421	1	+	+	CCONJ
ejpam-6517	421	2	c1v∗	c1v∗	NOUN
ejpam-6517	421	3	(	(	PUNCT
ejpam-6517	421	4	s	s	AUX
ejpam-6517	421	5	s∗	s∗	NOUN
ejpam-6517	421	6	−	−	PROPN
ejpam-6517	421	7	s∗v	s∗v	PROPN
ejpam-6517	421	8	sv∗	sv∗	NOUN
ejpam-6517	421	9	)	)	PUNCT
ejpam-6517	422	1	+	+	CCONJ
ejpam-6517	423	1	kis∗	kis∗	PROPN
ejpam-6517	423	2	m	m	VERB
ejpam-6517	423	3	−	−	NOUN
ejpam-6517	423	4	µ0v+	µ0v+	ADV
ejpam-6517	423	5	µ0v∗	µ0v∗	NOUN
ejpam-6517	423	6	,	,	PUNCT
ejpam-6517	423	7	(	(	PUNCT
ejpam-6517	423	8	16	16	NUM
ejpam-6517	423	9	)	)	PUNCT
ejpam-6517	423	10	m.	m.	NOUN
ejpam-6517	423	11	mohiudin	mohiudin	PROPN
ejpam-6517	423	12	et	et	PROPN
ejpam-6517	423	13	al	al	PROPN
ejpam-6517	423	14	.	.	PUNCT
ejpam-6517	423	15	/	/	SYM
ejpam-6517	423	16	eur	eur	PROPN
ejpam-6517	423	17	.	.	PUNCT
ejpam-6517	424	1	j.	j.	PROPN
ejpam-6517	424	2	pure	pure	PROPN
ejpam-6517	424	3	appl	appl	PROPN
ejpam-6517	424	4	.	.	PROPN
ejpam-6517	424	5	math	math	PROPN
ejpam-6517	424	6	,	,	PUNCT
ejpam-6517	424	7	18	18	NUM
ejpam-6517	424	8	(	(	PUNCT
ejpam-6517	424	9	3	3	NUM
ejpam-6517	424	10	)	)	PUNCT
ejpam-6517	424	11	(	(	PUNCT
ejpam-6517	424	12	2025	2025	NUM
ejpam-6517	424	13	)	)	PUNCT
ejpam-6517	424	14	,	,	PUNCT
ejpam-6517	424	15	6517	6517	NUM
ejpam-6517	424	16	19	19	NUM
ejpam-6517	424	17	of	of	ADP
ejpam-6517	424	18	40	40	NUM
ejpam-6517	424	19	first	first	ADV
ejpam-6517	424	20	we	we	PRON
ejpam-6517	424	21	solve	solve	VERB
ejpam-6517	424	22	;	;	PUNCT
ejpam-6517	424	23	−µ0v+	−µ0v+	PRON
ejpam-6517	424	24	µ0v∗	µ0v∗	PROPN
ejpam-6517	424	25	consider	consider	VERB
ejpam-6517	424	26	,	,	PUNCT
ejpam-6517	424	27	µ0v∗	µ0v∗	VERB
ejpam-6517	424	28	−	−	PROPN
ejpam-6517	424	29	µ0v	µ0v	NUM
ejpam-6517	424	30	=	=	SYM
ejpam-6517	424	31	µ0v∗	µ0v∗	PROPN
ejpam-6517	424	32	(	(	PUNCT
ejpam-6517	424	33	1−	1−	NUM
ejpam-6517	424	34	v	v	NUM
ejpam-6517	424	35	v∗	v∗	PROPN
ejpam-6517	424	36	)	)	PUNCT
ejpam-6517	424	37	,	,	PUNCT
ejpam-6517	424	38	(	(	PUNCT
ejpam-6517	424	39	17	17	NUM
ejpam-6517	424	40	)	)	PUNCT
ejpam-6517	424	41	we	we	PRON
ejpam-6517	424	42	know	know	VERB
ejpam-6517	424	43	that	that	PRON
ejpam-6517	424	44	,	,	PUNCT
ejpam-6517	424	45	µ0v∗	µ0v∗	PROPN
ejpam-6517	424	46	=	=	PUNCT
ejpam-6517	425	1	c2s∗	c2s∗	PROPN
ejpam-6517	425	2	−	−	PROPN
ejpam-6517	426	1	c1v∗	c1v∗	PROPN
ejpam-6517	426	2	,	,	PUNCT
ejpam-6517	426	3	so	so	CCONJ
ejpam-6517	426	4	(	(	PUNCT
ejpam-6517	426	5	17	17	NUM
ejpam-6517	426	6	)	)	PUNCT
ejpam-6517	426	7	becomes	become	VERB
ejpam-6517	426	8	,	,	PUNCT
ejpam-6517	426	9	µ0v∗	µ0v∗	VERB
ejpam-6517	426	10	−	−	NOUN
ejpam-6517	426	11	µ0v	µ0v	NUM
ejpam-6517	426	12	=	=	SYM
ejpam-6517	426	13	(	(	PUNCT
ejpam-6517	426	14	c2s∗	c2s∗	PROPN
ejpam-6517	426	15	−	−	PROPN
ejpam-6517	426	16	c1v∗	c1v∗	PROPN
ejpam-6517	426	17	)	)	PUNCT
ejpam-6517	426	18	(	(	PUNCT
ejpam-6517	426	19	1−	1−	NUM
ejpam-6517	426	20	v	v	NUM
ejpam-6517	426	21	v∗	v∗	PROPN
ejpam-6517	426	22	)	)	PUNCT
ejpam-6517	426	23	,	,	PUNCT
ejpam-6517	427	1	=	=	PUNCT
ejpam-6517	427	2	c2s∗	c2s∗	PROPN
ejpam-6517	427	3	−	−	NOUN
ejpam-6517	428	1	c1v∗	c1v∗	NOUN
ejpam-6517	428	2	+	+	CCONJ
ejpam-6517	428	3	c2s∗	c2s∗	PROPN
ejpam-6517	428	4	v∗	v∗	PROPN
ejpam-6517	428	5	v	v	NOUN
ejpam-6517	428	6	+	+	CCONJ
ejpam-6517	428	7	c1v	c1v	NOUN
ejpam-6517	428	8	,	,	PUNCT
ejpam-6517	428	9	=	=	SYM
ejpam-6517	428	10	c2s∗	c2s∗	PROPN
ejpam-6517	428	11	(	(	PUNCT
ejpam-6517	428	12	1−	1−	NUM
ejpam-6517	428	13	v∗	v∗	NOUN
ejpam-6517	428	14	v	v	NOUN
ejpam-6517	428	15	)	)	PUNCT
ejpam-6517	429	1	+	+	CCONJ
ejpam-6517	429	2	c1v∗	c1v∗	NOUN
ejpam-6517	429	3	(	(	PUNCT
ejpam-6517	429	4	−1	−1	NOUN
ejpam-6517	429	5	+	+	CCONJ
ejpam-6517	429	6	v	v	NUM
ejpam-6517	429	7	v∗	v∗	NOUN
ejpam-6517	429	8	)	)	PUNCT
ejpam-6517	429	9	,	,	PUNCT
ejpam-6517	429	10	putting	put	VERB
ejpam-6517	429	11	these	these	DET
ejpam-6517	429	12	values	value	NOUN
ejpam-6517	429	13	in	in	ADP
ejpam-6517	429	14	(	(	PUNCT
ejpam-6517	429	15	16	16	NUM
ejpam-6517	429	16	)	)	PUNCT
ejpam-6517	429	17	,	,	PUNCT
ejpam-6517	429	18	so	so	SCONJ
ejpam-6517	429	19	we	we	PRON
ejpam-6517	429	20	get	get	VERB
ejpam-6517	429	21	(	(	PUNCT
ejpam-6517	429	22	1−	1−	NUM
ejpam-6517	429	23	s∗	s∗	PROPN
ejpam-6517	429	24	s	s	PART
ejpam-6517	429	25	)	)	PUNCT
ejpam-6517	429	26	s′	s′	PUNCT
ejpam-6517	429	27	+	+	CCONJ
ejpam-6517	429	28	(	(	PUNCT
ejpam-6517	429	29	1−	1−	NUM
ejpam-6517	429	30	v∗	v∗	NOUN
ejpam-6517	429	31	v	v	NOUN
ejpam-6517	429	32	)	)	PUNCT
ejpam-6517	429	33	v′	v′	NOUN
ejpam-6517	429	34	=	=	SYM
ejpam-6517	429	35	ki∗s∗	ki∗s∗	ADJ
ejpam-6517	429	36	m∗	m∗	PROPN
ejpam-6517	429	37	(	(	PUNCT
ejpam-6517	429	38	1−	1−	NUM
ejpam-6517	429	39	s∗	s∗	PROPN
ejpam-6517	429	40	s	s	PART
ejpam-6517	429	41	−	−	PROPN
ejpam-6517	429	42	ism∗	ism∗	ADJ
ejpam-6517	429	43	i∗s∗m	i∗s∗m	NOUN
ejpam-6517	429	44	)	)	PUNCT
ejpam-6517	430	1	+	+	CCONJ
ejpam-6517	430	2	c2s∗	c2s∗	PROPN
ejpam-6517	430	3	(	(	PUNCT
ejpam-6517	430	4	2−	2−	NUM
ejpam-6517	430	5	s∗	s∗	PROPN
ejpam-6517	430	6	s	s	PART
ejpam-6517	430	7	−	−	PROPN
ejpam-6517	430	8	sv∗	sv∗	NOUN
ejpam-6517	430	9	s∗v	s∗v	NUM
ejpam-6517	430	10	)	)	PUNCT
ejpam-6517	431	1	+	+	CCONJ
ejpam-6517	431	2	µ0s∗	µ0s∗	NOUN
ejpam-6517	431	3	(	(	PUNCT
ejpam-6517	431	4	2−	2−	NUM
ejpam-6517	431	5	s	s	PART
ejpam-6517	431	6	s∗	s∗	NOUN
ejpam-6517	431	7	−	−	PROPN
ejpam-6517	431	8	s∗	s∗	PROPN
ejpam-6517	431	9	s	s	PART
ejpam-6517	431	10	)	)	PUNCT
ejpam-6517	432	1	+	+	CCONJ
ejpam-6517	432	2	c1v∗	c1v∗	NOUN
ejpam-6517	432	3	(	(	PUNCT
ejpam-6517	432	4	s	s	AUX
ejpam-6517	432	5	s∗	s∗	NOUN
ejpam-6517	432	6	−	−	PROPN
ejpam-6517	432	7	s∗v	s∗v	PROPN
ejpam-6517	432	8	sv∗	sv∗	NOUN
ejpam-6517	432	9	)	)	PUNCT
ejpam-6517	433	1	+	+	CCONJ
ejpam-6517	433	2	c2s∗	c2s∗	PROPN
ejpam-6517	433	3	(	(	PUNCT
ejpam-6517	433	4	1−	1−	NUM
ejpam-6517	433	5	v∗	v∗	NOUN
ejpam-6517	433	6	v	v	NOUN
ejpam-6517	433	7	)	)	PUNCT
ejpam-6517	434	1	+	+	CCONJ
ejpam-6517	434	2	c1v∗	c1v∗	NOUN
ejpam-6517	434	3	(	(	PUNCT
ejpam-6517	434	4	−1	−1	NOUN
ejpam-6517	434	5	+	+	CCONJ
ejpam-6517	434	6	v	v	NUM
ejpam-6517	434	7	v∗	v∗	NOUN
ejpam-6517	434	8	)	)	PUNCT
ejpam-6517	434	9	+	+	CCONJ
ejpam-6517	435	1	kis∗	kis∗	PROPN
ejpam-6517	435	2	m	m	VERB
ejpam-6517	435	3	=	=	ADJ
ejpam-6517	435	4	ki∗s∗	ki∗s∗	ADJ
ejpam-6517	435	5	m∗	m∗	PROPN
ejpam-6517	435	6	(	(	PUNCT
ejpam-6517	435	7	1−	1−	NUM
ejpam-6517	435	8	s∗	s∗	PROPN
ejpam-6517	435	9	s	s	PART
ejpam-6517	435	10	−	−	PROPN
ejpam-6517	435	11	ism∗	ism∗	ADJ
ejpam-6517	435	12	i∗s∗m	i∗s∗m	NOUN
ejpam-6517	435	13	)	)	PUNCT
ejpam-6517	436	1	+	+	CCONJ
ejpam-6517	436	2	c2s∗	c2s∗	PROPN
ejpam-6517	436	3	(	(	PUNCT
ejpam-6517	436	4	3−	3−	NUM
ejpam-6517	436	5	s∗	s∗	PROPN
ejpam-6517	436	6	s	s	PART
ejpam-6517	436	7	−	−	PROPN
ejpam-6517	436	8	v∗	v∗	PROPN
ejpam-6517	436	9	v	v	ADP
ejpam-6517	436	10	−	−	NOUN
ejpam-6517	436	11	sv∗	sv∗	NOUN
ejpam-6517	436	12	s∗v	s∗v	NUM
ejpam-6517	436	13	)	)	PUNCT
ejpam-6517	437	1	+	+	CCONJ
ejpam-6517	437	2	µ0s∗	µ0s∗	NOUN
ejpam-6517	437	3	(	(	PUNCT
ejpam-6517	437	4	2−	2−	NUM
ejpam-6517	437	5	s	s	PART
ejpam-6517	437	6	s∗	s∗	NOUN
ejpam-6517	437	7	−	−	PROPN
ejpam-6517	437	8	s∗	s∗	PROPN
ejpam-6517	437	9	s	s	PART
ejpam-6517	437	10	)	)	PUNCT
ejpam-6517	438	1	+	+	CCONJ
ejpam-6517	438	2	c1v∗	c1v∗	NOUN
ejpam-6517	438	3	(	(	PUNCT
ejpam-6517	438	4	1−	1−	NUM
ejpam-6517	438	5	s∗v	s∗v	PROPN
ejpam-6517	438	6	sv∗	sv∗	NOUN
ejpam-6517	438	7	−	−	PROPN
ejpam-6517	438	8	(	(	PUNCT
ejpam-6517	438	9	1−	1−	NUM
ejpam-6517	438	10	v∗	v∗	NOUN
ejpam-6517	438	11	v	v	NOUN
ejpam-6517	438	12	)	)	PUNCT
ejpam-6517	438	13	−	−	PROPN
ejpam-6517	439	1	(	(	PUNCT
ejpam-6517	439	2	1−	1−	NUM
ejpam-6517	439	3	s∗	s∗	PROPN
ejpam-6517	439	4	s	s	PART
ejpam-6517	439	5	)	)	PUNCT
ejpam-6517	439	6	)	)	PUNCT
ejpam-6517	440	1	+	+	CCONJ
ejpam-6517	440	2	kis∗	kis∗	PROPN
ejpam-6517	440	3	m	m	PROPN
ejpam-6517	440	4	.	.	PUNCT
ejpam-6517	441	1	(	(	PUNCT
ejpam-6517	441	2	18	18	NUM
ejpam-6517	441	3	)	)	PUNCT
ejpam-6517	441	4	next	next	ADV
ejpam-6517	441	5	we	we	PRON
ejpam-6517	441	6	consider	consider	VERB
ejpam-6517	441	7	,	,	PUNCT
ejpam-6517	441	8	(	(	PUNCT
ejpam-6517	441	9	1−	1−	NUM
ejpam-6517	441	10	e∗	e∗	PROPN
ejpam-6517	441	11	e	e	X
ejpam-6517	441	12	)	)	PUNCT
ejpam-6517	442	1	e	e	X
ejpam-6517	442	2	′	′	NOUN
ejpam-6517	443	1	+	+	CCONJ
ejpam-6517	443	2	(	(	PUNCT
ejpam-6517	443	3	1−	1−	NUM
ejpam-6517	443	4	i∗	i∗	NOUN
ejpam-6517	443	5	i	i	NOUN
ejpam-6517	443	6	)	)	PUNCT
ejpam-6517	444	1	i	i	PRON
ejpam-6517	444	2	′	′	NUM
ejpam-6517	445	1	=	=	PUNCT
ejpam-6517	446	1	(	(	PUNCT
ejpam-6517	446	2	1−	1−	NUM
ejpam-6517	446	3	e∗	e∗	PROPN
ejpam-6517	446	4	e	e	PROPN
ejpam-6517	446	5	)	)	PUNCT
ejpam-6517	446	6	(	(	PUNCT
ejpam-6517	446	7	ksi	ksi	PROPN
ejpam-6517	446	8	m	m	PROPN
ejpam-6517	446	9	−	−	PROPN
ejpam-6517	446	10	k2e	k2e	PROPN
ejpam-6517	446	11	)	)	PUNCT
ejpam-6517	447	1	+	+	CCONJ
ejpam-6517	447	2	(	(	PUNCT
ejpam-6517	447	3	1−	1−	NUM
ejpam-6517	447	4	i∗	i∗	NOUN
ejpam-6517	447	5	i	i	NOUN
ejpam-6517	447	6	)	)	PUNCT
ejpam-6517	447	7	(	(	PUNCT
ejpam-6517	447	8	αe−	αe−	NUM
ejpam-6517	447	9	k3i	k3i	PROPN
ejpam-6517	447	10	)	)	PUNCT
ejpam-6517	447	11	,	,	PUNCT
ejpam-6517	447	12	=	=	PRON
ejpam-6517	447	13	−kise∗	−kise∗	VERB
ejpam-6517	447	14	me	i	PRON
ejpam-6517	448	1	+	+	CCONJ
ejpam-6517	448	2	kis	kis	PROPN
ejpam-6517	448	3	m	m	NOUN
ejpam-6517	448	4	−	−	PROPN
ejpam-6517	448	5	k2e+	k2e+	NOUN
ejpam-6517	448	6	k2e∗	k2e∗	PROPN
ejpam-6517	448	7	+	+	CCONJ
ejpam-6517	448	8	αe−	αe−	PRON
ejpam-6517	448	9	k3i−	k3i−	VERB
ejpam-6517	448	10	αe	αe	NUM
ejpam-6517	448	11	i∗	i∗	NOUN
ejpam-6517	448	12	i	i	PRON
ejpam-6517	449	1	+	+	CCONJ
ejpam-6517	449	2	k3i∗.	k3i∗.	AUX
ejpam-6517	449	3	now	now	ADV
ejpam-6517	449	4	putting	put	VERB
ejpam-6517	449	5	the	the	DET
ejpam-6517	449	6	value	value	NOUN
ejpam-6517	449	7	of	of	ADP
ejpam-6517	449	8	k2	k2	NOUN
ejpam-6517	449	9	=	=	SYM
ejpam-6517	449	10	α+	α+	PUNCT
ejpam-6517	449	11	r1	r1	NOUN
ejpam-6517	449	12	+	+	CCONJ
ejpam-6517	449	13	µ0	µ0	NOUN
ejpam-6517	449	14	in	in	ADP
ejpam-6517	449	15	above	above	ADP
ejpam-6517	449	16	equation	equation	NOUN
ejpam-6517	449	17	,	,	PUNCT
ejpam-6517	449	18	so	so	SCONJ
ejpam-6517	449	19	we	we	PRON
ejpam-6517	449	20	get	get	VERB
ejpam-6517	449	21	,	,	PUNCT
ejpam-6517	449	22	(	(	PUNCT
ejpam-6517	449	23	1−	1−	NUM
ejpam-6517	449	24	e∗	e∗	PROPN
ejpam-6517	449	25	e	e	X
ejpam-6517	449	26	)	)	PUNCT
ejpam-6517	450	1	e	e	X
ejpam-6517	450	2	′	′	NOUN
ejpam-6517	451	1	+	+	CCONJ
ejpam-6517	451	2	(	(	PUNCT
ejpam-6517	451	3	1−	1−	NUM
ejpam-6517	451	4	i∗	i∗	NOUN
ejpam-6517	451	5	i	i	NOUN
ejpam-6517	451	6	)	)	PUNCT
ejpam-6517	452	1	i	i	PRON
ejpam-6517	452	2	′	′	NUM
ejpam-6517	453	1	=	=	PUNCT
ejpam-6517	453	2	−kise∗	−kise∗	VERB
ejpam-6517	453	3	me	i	PRON
ejpam-6517	453	4	+	+	CCONJ
ejpam-6517	454	1	kis	kis	PROPN
ejpam-6517	454	2	m	m	PROPN
ejpam-6517	454	3	+	+	NUM
ejpam-6517	454	4	αe−	αe−	PRON
ejpam-6517	454	5	k3i−	k3i−	VERB
ejpam-6517	454	6	αe	αe	NUM
ejpam-6517	454	7	i∗	i∗	NOUN
ejpam-6517	455	1	i	i	PRON
ejpam-6517	455	2	+	+	CCONJ
ejpam-6517	455	3	k3i∗	k3i∗	PROPN
ejpam-6517	455	4	−	−	PROPN
ejpam-6517	455	5	(	(	PUNCT
ejpam-6517	455	6	α+	α+	PUNCT
ejpam-6517	455	7	r1	r1	NOUN
ejpam-6517	455	8	+	+	CCONJ
ejpam-6517	455	9	µ0)e+	µ0)e+	PROPN
ejpam-6517	455	10	(	(	PUNCT
ejpam-6517	455	11	α+	α+	PUNCT
ejpam-6517	455	12	r1	r1	NOUN
ejpam-6517	455	13	+	+	CCONJ
ejpam-6517	455	14	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	455	15	=	=	SYM
ejpam-6517	455	16	−kise∗	−kise∗	VERB
ejpam-6517	455	17	me	i	PRON
ejpam-6517	455	18	+	+	CCONJ
ejpam-6517	455	19	kis	kis	PROPN
ejpam-6517	455	20	m	m	VERB
ejpam-6517	455	21	+	+	NOUN
ejpam-6517	455	22	αe∗	αe∗	NOUN
ejpam-6517	455	23	(	(	PUNCT
ejpam-6517	455	24	1−	1−	NUM
ejpam-6517	455	25	e	e	X
ejpam-6517	455	26	e∗	e∗	PROPN
ejpam-6517	455	27	−	−	PROPN
ejpam-6517	455	28	ei∗	ei∗	PROPN
ejpam-6517	455	29	e∗i	e∗i	NUM
ejpam-6517	455	30	(	(	PUNCT
ejpam-6517	455	31	1−	1−	NUM
ejpam-6517	455	32	i	i	PRON
ejpam-6517	455	33	i∗	i∗	NOUN
ejpam-6517	455	34	)	)	PUNCT
ejpam-6517	455	35	)	)	PUNCT
ejpam-6517	456	1	+	+	CCONJ
ejpam-6517	456	2	(	(	PUNCT
ejpam-6517	456	3	r1	r1	PROPN
ejpam-6517	456	4	+	+	CCONJ
ejpam-6517	456	5	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	456	6	(	(	PUNCT
ejpam-6517	456	7	1−	1−	NUM
ejpam-6517	456	8	e	e	X
ejpam-6517	456	9	e∗	e∗	PROPN
ejpam-6517	456	10	)	)	PUNCT
ejpam-6517	457	1	+	+	CCONJ
ejpam-6517	457	2	k3i∗	k3i∗	PROPN
ejpam-6517	457	3	(	(	PUNCT
ejpam-6517	457	4	1−	1−	NUM
ejpam-6517	457	5	i	i	PRON
ejpam-6517	457	6	i∗	i∗	NOUN
ejpam-6517	457	7	)	)	PUNCT
ejpam-6517	457	8	m.	m.	NOUN
ejpam-6517	457	9	mohiudin	mohiudin	PROPN
ejpam-6517	457	10	et	et	PROPN
ejpam-6517	457	11	al	al	PROPN
ejpam-6517	457	12	.	.	PUNCT
ejpam-6517	457	13	/	/	SYM
ejpam-6517	457	14	eur	eur	PROPN
ejpam-6517	457	15	.	.	PUNCT
ejpam-6517	458	1	j.	j.	PROPN
ejpam-6517	458	2	pure	pure	PROPN
ejpam-6517	458	3	appl	appl	PROPN
ejpam-6517	458	4	.	.	PROPN
ejpam-6517	458	5	math	math	PROPN
ejpam-6517	458	6	,	,	PUNCT
ejpam-6517	458	7	18	18	NUM
ejpam-6517	458	8	(	(	PUNCT
ejpam-6517	458	9	3	3	NUM
ejpam-6517	458	10	)	)	PUNCT
ejpam-6517	458	11	(	(	PUNCT
ejpam-6517	458	12	2025	2025	NUM
ejpam-6517	458	13	)	)	PUNCT
ejpam-6517	458	14	,	,	PUNCT
ejpam-6517	458	15	6517	6517	NUM
ejpam-6517	458	16	20	20	NUM
ejpam-6517	458	17	of	of	ADP
ejpam-6517	458	18	40	40	NUM
ejpam-6517	458	19	we	we	PRON
ejpam-6517	458	20	know	know	VERB
ejpam-6517	458	21	that	that	SCONJ
ejpam-6517	458	22	k3i∗	k3i∗	PROPN
ejpam-6517	458	23	=	=	PUNCT
ejpam-6517	458	24	αe∗	αe∗	NOUN
ejpam-6517	458	25	,	,	PUNCT
ejpam-6517	458	26	by	by	ADP
ejpam-6517	458	27	putting	put	VERB
ejpam-6517	458	28	in	in	ADP
ejpam-6517	458	29	above	above	ADP
ejpam-6517	458	30	equation	equation	NOUN
ejpam-6517	458	31	,	,	PUNCT
ejpam-6517	458	32	we	we	PRON
ejpam-6517	458	33	get	get	VERB
ejpam-6517	458	34	.	.	PUNCT
ejpam-6517	459	1	(	(	PUNCT
ejpam-6517	459	2	1−	1−	NUM
ejpam-6517	459	3	e∗	e∗	PROPN
ejpam-6517	459	4	e	e	PROPN
ejpam-6517	459	5	)	)	PUNCT
ejpam-6517	459	6	e′	e′	PROPN
ejpam-6517	460	1	+	+	CCONJ
ejpam-6517	460	2	(	(	PUNCT
ejpam-6517	460	3	1−	1−	NUM
ejpam-6517	460	4	i∗	i∗	NOUN
ejpam-6517	460	5	i	i	NOUN
ejpam-6517	460	6	)	)	PUNCT
ejpam-6517	460	7	i′	i′	NOUN
ejpam-6517	460	8	=	=	PUNCT
ejpam-6517	460	9	−kise∗	−kise∗	VERB
ejpam-6517	460	10	me	i	PRON
ejpam-6517	460	11	+	+	CCONJ
ejpam-6517	460	12	kis	kis	PROPN
ejpam-6517	460	13	m	m	VERB
ejpam-6517	460	14	+	+	NOUN
ejpam-6517	460	15	αe∗	αe∗	NOUN
ejpam-6517	460	16	(	(	PUNCT
ejpam-6517	460	17	1−	1−	NUM
ejpam-6517	460	18	e	e	X
ejpam-6517	460	19	e∗	e∗	PROPN
ejpam-6517	460	20	−	−	PROPN
ejpam-6517	460	21	ei∗	ei∗	PROPN
ejpam-6517	460	22	e∗i	e∗i	NUM
ejpam-6517	460	23	(	(	PUNCT
ejpam-6517	460	24	1−	1−	NUM
ejpam-6517	460	25	i	i	PRON
ejpam-6517	460	26	i∗	i∗	NOUN
ejpam-6517	460	27	)	)	PUNCT
ejpam-6517	460	28	)	)	PUNCT
ejpam-6517	461	1	+	+	CCONJ
ejpam-6517	461	2	(	(	PUNCT
ejpam-6517	461	3	r1	r1	PROPN
ejpam-6517	461	4	+	+	CCONJ
ejpam-6517	461	5	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	461	6	(	(	PUNCT
ejpam-6517	461	7	1−	1−	NUM
ejpam-6517	461	8	e	e	X
ejpam-6517	461	9	e∗	e∗	PROPN
ejpam-6517	461	10	)	)	PUNCT
ejpam-6517	462	1	+	+	CCONJ
ejpam-6517	462	2	αe∗	αe∗	NOUN
ejpam-6517	462	3	(	(	PUNCT
ejpam-6517	462	4	1−	1−	NUM
ejpam-6517	462	5	i	i	PRON
ejpam-6517	462	6	i∗	i∗	PROPN
ejpam-6517	462	7	)	)	PUNCT
ejpam-6517	462	8	,	,	PUNCT
ejpam-6517	462	9	=	=	PRON
ejpam-6517	462	10	−kise∗	−kise∗	VERB
ejpam-6517	462	11	me	i	PRON
ejpam-6517	462	12	+	+	CCONJ
ejpam-6517	462	13	kis	kis	PROPN
ejpam-6517	462	14	m	m	VERB
ejpam-6517	462	15	+	+	NOUN
ejpam-6517	462	16	αe∗	αe∗	NOUN
ejpam-6517	462	17	(	(	PUNCT
ejpam-6517	462	18	2−	2−	NUM
ejpam-6517	462	19	e	e	NOUN
ejpam-6517	462	20	e∗	e∗	PROPN
ejpam-6517	462	21	−	−	PROPN
ejpam-6517	463	1	i	i	PRON
ejpam-6517	463	2	i∗	i∗	VERB
ejpam-6517	463	3	−	−	PROPN
ejpam-6517	463	4	ei∗	ei∗	NOUN
ejpam-6517	463	5	e∗i	e∗i	PUNCT
ejpam-6517	463	6	(	(	PUNCT
ejpam-6517	463	7	1−	1−	NUM
ejpam-6517	463	8	i	i	PRON
ejpam-6517	463	9	i∗	i∗	NOUN
ejpam-6517	463	10	)	)	PUNCT
ejpam-6517	463	11	)	)	PUNCT
ejpam-6517	464	1	+	+	CCONJ
ejpam-6517	464	2	(	(	PUNCT
ejpam-6517	464	3	r1	r1	PROPN
ejpam-6517	464	4	+	+	CCONJ
ejpam-6517	464	5	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	464	6	(	(	PUNCT
ejpam-6517	464	7	1−	1−	NUM
ejpam-6517	464	8	e	e	X
ejpam-6517	464	9	e∗	e∗	PROPN
ejpam-6517	464	10	)	)	PUNCT
ejpam-6517	464	11	.	.	PUNCT
ejpam-6517	465	1	(	(	PUNCT
ejpam-6517	465	2	19	19	NUM
ejpam-6517	465	3	)	)	PUNCT
ejpam-6517	465	4	adding	add	VERB
ejpam-6517	465	5	equations	equation	NOUN
ejpam-6517	465	6	(	(	PUNCT
ejpam-6517	465	7	18	18	NUM
ejpam-6517	465	8	)	)	PUNCT
ejpam-6517	465	9	and	and	CCONJ
ejpam-6517	465	10	(	(	PUNCT
ejpam-6517	465	11	19	19	NUM
ejpam-6517	465	12	)	)	PUNCT
ejpam-6517	465	13	,	,	PUNCT
ejpam-6517	465	14	we	we	PRON
ejpam-6517	465	15	get	get	VERB
ejpam-6517	465	16	;	;	PUNCT
ejpam-6517	465	17	(	(	PUNCT
ejpam-6517	465	18	1−	1−	NUM
ejpam-6517	465	19	s∗	s∗	PROPN
ejpam-6517	465	20	s	s	PART
ejpam-6517	465	21	)	)	PUNCT
ejpam-6517	465	22	s	s	PART
ejpam-6517	465	23	′	′	NOUN
ejpam-6517	466	1	+	+	CCONJ
ejpam-6517	466	2	(	(	PUNCT
ejpam-6517	466	3	1−	1−	NUM
ejpam-6517	466	4	v∗	v∗	NOUN
ejpam-6517	466	5	v	v	NOUN
ejpam-6517	466	6	)	)	PUNCT
ejpam-6517	466	7	v	v	NOUN
ejpam-6517	466	8	′	′	NUM
ejpam-6517	467	1	+	+	CCONJ
ejpam-6517	467	2	(	(	PUNCT
ejpam-6517	467	3	1−	1−	NUM
ejpam-6517	467	4	e∗	e∗	PROPN
ejpam-6517	467	5	e	e	X
ejpam-6517	467	6	)	)	PUNCT
ejpam-6517	468	1	e	e	X
ejpam-6517	468	2	′	′	NOUN
ejpam-6517	469	1	+	+	CCONJ
ejpam-6517	469	2	(	(	PUNCT
ejpam-6517	469	3	1−	1−	NUM
ejpam-6517	469	4	i∗	i∗	NOUN
ejpam-6517	469	5	i	i	NOUN
ejpam-6517	469	6	)	)	PUNCT
ejpam-6517	470	1	i	i	PRON
ejpam-6517	470	2	′	′	NOUN
ejpam-6517	471	1	=	=	PUNCT
ejpam-6517	471	2	ki∗s∗	ki∗s∗	ADJ
ejpam-6517	471	3	m∗	m∗	PROPN
ejpam-6517	471	4	(	(	PUNCT
ejpam-6517	471	5	1−	1−	NUM
ejpam-6517	471	6	s∗	s∗	PROPN
ejpam-6517	471	7	s	s	PART
ejpam-6517	471	8	−	−	PROPN
ejpam-6517	471	9	ism∗e∗	ism∗e∗	PROPN
ejpam-6517	471	10	i∗s∗me	i∗s∗me	PROPN
ejpam-6517	471	11	)	)	PUNCT
ejpam-6517	472	1	+	+	CCONJ
ejpam-6517	472	2	c2s∗	c2s∗	PROPN
ejpam-6517	472	3	(	(	PUNCT
ejpam-6517	472	4	3−	3−	NUM
ejpam-6517	472	5	s∗	s∗	PROPN
ejpam-6517	472	6	s	s	PART
ejpam-6517	472	7	−	−	PROPN
ejpam-6517	472	8	v∗	v∗	PROPN
ejpam-6517	472	9	v	v	ADP
ejpam-6517	472	10	−	−	NOUN
ejpam-6517	472	11	sv∗	sv∗	NOUN
ejpam-6517	472	12	s∗v	s∗v	NUM
ejpam-6517	472	13	)	)	PUNCT
ejpam-6517	473	1	+	+	CCONJ
ejpam-6517	473	2	µ0s∗	µ0s∗	NOUN
ejpam-6517	473	3	(	(	PUNCT
ejpam-6517	473	4	2−	2−	NUM
ejpam-6517	473	5	s	s	PART
ejpam-6517	473	6	s∗	s∗	NOUN
ejpam-6517	473	7	−	−	PROPN
ejpam-6517	473	8	s∗	s∗	PROPN
ejpam-6517	473	9	s	s	PART
ejpam-6517	473	10	)	)	PUNCT
ejpam-6517	474	1	+	+	CCONJ
ejpam-6517	474	2	c1v∗	c1v∗	NOUN
ejpam-6517	474	3	(	(	PUNCT
ejpam-6517	474	4	1−	1−	NUM
ejpam-6517	474	5	s∗v	s∗v	PROPN
ejpam-6517	474	6	sv∗	sv∗	NOUN
ejpam-6517	474	7	−	−	PROPN
ejpam-6517	474	8	(	(	PUNCT
ejpam-6517	474	9	1−	1−	NUM
ejpam-6517	474	10	v∗	v∗	NOUN
ejpam-6517	474	11	v	v	NOUN
ejpam-6517	474	12	)	)	PUNCT
ejpam-6517	474	13	−	−	PROPN
ejpam-6517	475	1	(	(	PUNCT
ejpam-6517	475	2	1−	1−	NUM
ejpam-6517	475	3	s∗	s∗	PROPN
ejpam-6517	475	4	s	s	PART
ejpam-6517	475	5	)	)	PUNCT
ejpam-6517	475	6	)	)	PUNCT
ejpam-6517	476	1	+	+	CCONJ
ejpam-6517	476	2	αe∗(2−	αe∗(2−	PROPN
ejpam-6517	476	3	e	e	PROPN
ejpam-6517	476	4	e∗	e∗	PROPN
ejpam-6517	476	5	−	−	PROPN
ejpam-6517	477	1	i	i	PRON
ejpam-6517	477	2	i∗	i∗	VERB
ejpam-6517	477	3	−	−	PROPN
ejpam-6517	477	4	ei∗	ei∗	NOUN
ejpam-6517	477	5	e∗i	e∗i	PUNCT
ejpam-6517	477	6	(	(	PUNCT
ejpam-6517	477	7	1−	1−	NUM
ejpam-6517	477	8	i	i	PRON
ejpam-6517	477	9	i∗	i∗	VERB
ejpam-6517	477	10	)	)	PUNCT
ejpam-6517	478	1	+	+	CCONJ
ejpam-6517	478	2	(	(	PUNCT
ejpam-6517	478	3	r1	r1	PROPN
ejpam-6517	478	4	+	+	CCONJ
ejpam-6517	478	5	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	478	6	(	(	PUNCT
ejpam-6517	478	7	1−	1−	NUM
ejpam-6517	478	8	e	e	X
ejpam-6517	478	9	e	e	NOUN
ejpam-6517	478	10	∗	∗	NOUN
ejpam-6517	478	11	)	)	PUNCT
ejpam-6517	478	12	+	+	CCONJ
ejpam-6517	478	13	kis∗	kis∗	PROPN
ejpam-6517	478	14	m	m	VERB
ejpam-6517	478	15	,	,	PUNCT
ejpam-6517	478	16	(	(	PUNCT
ejpam-6517	478	17	20	20	NUM
ejpam-6517	478	18	)	)	PUNCT
ejpam-6517	478	19	last	last	ADJ
ejpam-6517	478	20	two	two	NUM
ejpam-6517	478	21	terms	term	NOUN
ejpam-6517	478	22	of	of	ADP
ejpam-6517	478	23	(	(	PUNCT
ejpam-6517	478	24	r1	r1	NOUN
ejpam-6517	478	25	+	+	CCONJ
ejpam-6517	478	26	µ0)(1−	µ0)(1−	ADJ
ejpam-6517	478	27	e	e	SYM
ejpam-6517	478	28	e	e	NOUN
ejpam-6517	478	29	∗	∗	X
ejpam-6517	478	30	)	)	PUNCT
ejpam-6517	478	31	e∗	e∗	PROPN
ejpam-6517	478	32	+	+	CCONJ
ejpam-6517	478	33	kis∗	kis∗	PROPN
ejpam-6517	478	34	m	m	PROPN
ejpam-6517	478	35	=	=	PUNCT
ejpam-6517	478	36	(	(	PUNCT
ejpam-6517	478	37	r1	r1	PROPN
ejpam-6517	478	38	+	+	CCONJ
ejpam-6517	478	39	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	478	40	−	−	PROPN
ejpam-6517	478	41	(	(	PUNCT
ejpam-6517	478	42	r1	r1	NOUN
ejpam-6517	478	43	+	+	CCONJ
ejpam-6517	478	44	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	478	45	+	+	CCONJ
ejpam-6517	478	46	kis∗	kis∗	PROPN
ejpam-6517	478	47	m	m	PROPN
ejpam-6517	478	48	(	(	PUNCT
ejpam-6517	478	49	21	21	NUM
ejpam-6517	478	50	)	)	PUNCT
ejpam-6517	478	51	since	since	SCONJ
ejpam-6517	478	52	;	;	PUNCT
ejpam-6517	478	53	k2e∗	k2e∗	PROPN
ejpam-6517	478	54	=	=	SYM
ejpam-6517	478	55	ki∗s∗	ki∗s∗	ADJ
ejpam-6517	478	56	m∗	m∗	NOUN
ejpam-6517	478	57	or	or	CCONJ
ejpam-6517	478	58	k	k	NOUN
ejpam-6517	478	59	=	=	SYM
ejpam-6517	478	60	k2e∗m∗	k2e∗m∗	PROPN
ejpam-6517	478	61	s∗i∗	s∗i∗	NOUN
ejpam-6517	478	62	,	,	PUNCT
ejpam-6517	478	63	putting	put	VERB
ejpam-6517	478	64	values	value	NOUN
ejpam-6517	478	65	in	in	ADP
ejpam-6517	478	66	(	(	PUNCT
ejpam-6517	478	67	21	21	NUM
ejpam-6517	478	68	)	)	PUNCT
ejpam-6517	478	69	,	,	PUNCT
ejpam-6517	478	70	so	so	SCONJ
ejpam-6517	478	71	we	we	PRON
ejpam-6517	478	72	get	get	VERB
ejpam-6517	478	73	,	,	PUNCT
ejpam-6517	478	74	(	(	PUNCT
ejpam-6517	478	75	r1	r1	PROPN
ejpam-6517	478	76	+	+	CCONJ
ejpam-6517	478	77	µ0	µ0	NUM
ejpam-6517	478	78	)	)	PUNCT
ejpam-6517	478	79	(	(	PUNCT
ejpam-6517	478	80	1−	1−	NUM
ejpam-6517	478	81	e	e	X
ejpam-6517	478	82	e	e	NOUN
ejpam-6517	478	83	∗	∗	NOUN
ejpam-6517	478	84	)	)	PUNCT
ejpam-6517	478	85	e∗	e∗	PROPN
ejpam-6517	479	1	+	+	CCONJ
ejpam-6517	479	2	kis∗	kis∗	PROPN
ejpam-6517	479	3	m	m	PROPN
ejpam-6517	479	4	=	=	PUNCT
ejpam-6517	479	5	(	(	PUNCT
ejpam-6517	479	6	r1	r1	PROPN
ejpam-6517	479	7	+	+	CCONJ
ejpam-6517	479	8	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	479	9	−	−	PROPN
ejpam-6517	479	10	(	(	PUNCT
ejpam-6517	479	11	r1	r1	PROPN
ejpam-6517	479	12	+	+	CCONJ
ejpam-6517	479	13	µ0)e+	µ0)e+	PROPN
ejpam-6517	479	14	k2e∗m∗	k2e∗m∗	PROPN
ejpam-6517	479	15	mi∗	mi∗	NOUN
ejpam-6517	479	16	,	,	PUNCT
ejpam-6517	479	17	=	=	PRON
ejpam-6517	479	18	(	(	PUNCT
ejpam-6517	479	19	r1	r1	PROPN
ejpam-6517	479	20	+	+	CCONJ
ejpam-6517	479	21	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	479	22	−	−	PROPN
ejpam-6517	479	23	(	(	PUNCT
ejpam-6517	479	24	r1	r1	PROPN
ejpam-6517	479	25	+	+	CCONJ
ejpam-6517	479	26	µ0)e+	µ0)e+	PROPN
ejpam-6517	479	27	im∗	im∗	NOUN
ejpam-6517	479	28	i∗m	i∗m	PUNCT
ejpam-6517	479	29	(	(	PUNCT
ejpam-6517	479	30	α+	α+	PUNCT
ejpam-6517	479	31	r1	r1	PROPN
ejpam-6517	479	32	+	+	CCONJ
ejpam-6517	479	33	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	479	34	,	,	PUNCT
ejpam-6517	479	35	=	=	SYM
ejpam-6517	479	36	(	(	PUNCT
ejpam-6517	479	37	r1	r1	PROPN
ejpam-6517	479	38	+	+	CCONJ
ejpam-6517	479	39	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	479	40	−	−	PROPN
ejpam-6517	479	41	(	(	PUNCT
ejpam-6517	479	42	r1	r1	PROPN
ejpam-6517	479	43	+	+	CCONJ
ejpam-6517	479	44	µ0)e+	µ0)e+	PROPN
ejpam-6517	479	45	(	(	PUNCT
ejpam-6517	479	46	r1	r1	PROPN
ejpam-6517	479	47	+	+	CCONJ
ejpam-6517	479	48	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	479	49	(	(	PUNCT
ejpam-6517	479	50	im∗	im∗	NOUN
ejpam-6517	479	51	i∗m	i∗m	X
ejpam-6517	479	52	)	)	PUNCT
ejpam-6517	479	53	+	+	NUM
ejpam-6517	479	54	αe∗	αe∗	NOUN
ejpam-6517	479	55	(	(	PUNCT
ejpam-6517	479	56	im∗	im∗	NOUN
ejpam-6517	479	57	i∗m	i∗m	NUM
ejpam-6517	479	58	)	)	PUNCT
ejpam-6517	479	59	,	,	PUNCT
ejpam-6517	479	60	=	=	PRON
ejpam-6517	479	61	(	(	PUNCT
ejpam-6517	479	62	r1	r1	PROPN
ejpam-6517	479	63	+	+	CCONJ
ejpam-6517	479	64	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	479	65	(	(	PUNCT
ejpam-6517	479	66	1−	1−	NUM
ejpam-6517	479	67	e	e	NOUN
ejpam-6517	479	68	e∗	e∗	PROPN
ejpam-6517	479	69	+	+	CCONJ
ejpam-6517	479	70	im∗	im∗	PROPN
ejpam-6517	479	71	i∗m	i∗m	X
ejpam-6517	479	72	)	)	PUNCT
ejpam-6517	479	73	+	+	NUM
ejpam-6517	479	74	αe∗	αe∗	NOUN
ejpam-6517	479	75	(	(	PUNCT
ejpam-6517	479	76	im∗	im∗	NOUN
ejpam-6517	479	77	i∗m	i∗m	NUM
ejpam-6517	479	78	)	)	PUNCT
ejpam-6517	479	79	,	,	PUNCT
ejpam-6517	479	80	=	=	PRON
ejpam-6517	479	81	(	(	PUNCT
ejpam-6517	479	82	r1	r1	PROPN
ejpam-6517	479	83	+	+	CCONJ
ejpam-6517	479	84	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	479	85	(	(	PUNCT
ejpam-6517	479	86	1	1	NUM
ejpam-6517	479	87	+	+	SYM
ejpam-6517	479	88	1−	1−	NUM
ejpam-6517	479	89	e	e	NOUN
ejpam-6517	479	90	e∗	e∗	NOUN
ejpam-6517	479	91	−	−	PROPN
ejpam-6517	479	92	1	1	NUM
ejpam-6517	479	93	+	+	NUM
ejpam-6517	479	94	im∗	im∗	NOUN
ejpam-6517	479	95	i∗m	i∗m	PUNCT
ejpam-6517	479	96	+	+	NUM
ejpam-6517	479	97	αe∗	αe∗	NOUN
ejpam-6517	479	98	(	(	PUNCT
ejpam-6517	479	99	im∗	im∗	NOUN
ejpam-6517	479	100	i∗m	i∗m	X
ejpam-6517	479	101	)	)	PUNCT
ejpam-6517	479	102	)	)	PUNCT
ejpam-6517	479	103	,	,	PUNCT
ejpam-6517	479	104	=	=	PRON
ejpam-6517	479	105	(	(	PUNCT
ejpam-6517	479	106	r1	r1	PROPN
ejpam-6517	479	107	+	+	CCONJ
ejpam-6517	479	108	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	479	109	(	(	PUNCT
ejpam-6517	479	110	2−	2−	NUM
ejpam-6517	479	111	e	e	NOUN
ejpam-6517	479	112	e∗	e∗	PROPN
ejpam-6517	479	113	−	−	PROPN
ejpam-6517	480	1	(	(	PUNCT
ejpam-6517	480	2	1−	1−	NUM
ejpam-6517	480	3	im∗	im∗	NOUN
ejpam-6517	480	4	i∗m	i∗m	X
ejpam-6517	480	5	)	)	PUNCT
ejpam-6517	481	1	+	+	NUM
ejpam-6517	481	2	αe∗	αe∗	NOUN
ejpam-6517	481	3	(	(	PUNCT
ejpam-6517	481	4	im∗	im∗	NOUN
ejpam-6517	481	5	i∗m	i∗m	X
ejpam-6517	481	6	)	)	PUNCT
ejpam-6517	481	7	)	)	PUNCT
ejpam-6517	481	8	.	.	PUNCT
ejpam-6517	482	1	m.	m.	NOUN
ejpam-6517	482	2	mohiudin	mohiudin	PROPN
ejpam-6517	482	3	et	et	PROPN
ejpam-6517	482	4	al	al	PROPN
ejpam-6517	482	5	.	.	PUNCT
ejpam-6517	482	6	/	/	SYM
ejpam-6517	482	7	eur	eur	PROPN
ejpam-6517	482	8	.	.	PUNCT
ejpam-6517	483	1	j.	j.	PROPN
ejpam-6517	483	2	pure	pure	PROPN
ejpam-6517	483	3	appl	appl	PROPN
ejpam-6517	483	4	.	.	PROPN
ejpam-6517	483	5	math	math	PROPN
ejpam-6517	483	6	,	,	PUNCT
ejpam-6517	483	7	18	18	NUM
ejpam-6517	483	8	(	(	PUNCT
ejpam-6517	483	9	3	3	NUM
ejpam-6517	483	10	)	)	PUNCT
ejpam-6517	483	11	(	(	PUNCT
ejpam-6517	483	12	2025	2025	NUM
ejpam-6517	483	13	)	)	PUNCT
ejpam-6517	483	14	,	,	PUNCT
ejpam-6517	483	15	6517	6517	NUM
ejpam-6517	483	16	21	21	NUM
ejpam-6517	483	17	of	of	ADP
ejpam-6517	483	18	40	40	NUM
ejpam-6517	483	19	putting	put	VERB
ejpam-6517	483	20	this	this	DET
ejpam-6517	483	21	values	value	NOUN
ejpam-6517	483	22	in	in	ADP
ejpam-6517	483	23	equation	equation	NOUN
ejpam-6517	483	24	(	(	PUNCT
ejpam-6517	483	25	20	20	NUM
ejpam-6517	483	26	)	)	PUNCT
ejpam-6517	483	27	,	,	PUNCT
ejpam-6517	483	28	we	we	PRON
ejpam-6517	483	29	get	get	VERB
ejpam-6517	483	30	;	;	PUNCT
ejpam-6517	483	31	(	(	PUNCT
ejpam-6517	483	32	1−	1−	NUM
ejpam-6517	483	33	s∗	s∗	PROPN
ejpam-6517	483	34	s	s	PART
ejpam-6517	483	35	)	)	PUNCT
ejpam-6517	483	36	s	s	PART
ejpam-6517	483	37	′	′	NOUN
ejpam-6517	484	1	+	+	CCONJ
ejpam-6517	484	2	(	(	PUNCT
ejpam-6517	484	3	1−	1−	NUM
ejpam-6517	484	4	v∗	v∗	NOUN
ejpam-6517	484	5	v	v	NOUN
ejpam-6517	484	6	)	)	PUNCT
ejpam-6517	484	7	v	v	NOUN
ejpam-6517	484	8	′	′	NUM
ejpam-6517	485	1	+	+	CCONJ
ejpam-6517	485	2	(	(	PUNCT
ejpam-6517	485	3	1−	1−	NUM
ejpam-6517	485	4	e∗	e∗	PROPN
ejpam-6517	485	5	e	e	X
ejpam-6517	485	6	)	)	PUNCT
ejpam-6517	486	1	e	e	X
ejpam-6517	486	2	′	′	NOUN
ejpam-6517	487	1	+	+	CCONJ
ejpam-6517	487	2	(	(	PUNCT
ejpam-6517	487	3	1−	1−	NUM
ejpam-6517	487	4	i∗	i∗	NOUN
ejpam-6517	487	5	i	i	NOUN
ejpam-6517	487	6	)	)	PUNCT
ejpam-6517	488	1	i	i	PRON
ejpam-6517	488	2	′	′	NOUN
ejpam-6517	489	1	=	=	PUNCT
ejpam-6517	489	2	ki∗s∗	ki∗s∗	ADJ
ejpam-6517	489	3	m∗	m∗	PROPN
ejpam-6517	489	4	(	(	PUNCT
ejpam-6517	489	5	1−	1−	NUM
ejpam-6517	489	6	s∗	s∗	PROPN
ejpam-6517	489	7	s	s	PART
ejpam-6517	489	8	−	−	PROPN
ejpam-6517	489	9	ism∗e∗	ism∗e∗	PROPN
ejpam-6517	489	10	i∗s∗me	i∗s∗me	PROPN
ejpam-6517	489	11	)	)	PUNCT
ejpam-6517	490	1	+	+	CCONJ
ejpam-6517	490	2	c2s∗	c2s∗	PROPN
ejpam-6517	490	3	(	(	PUNCT
ejpam-6517	490	4	3−	3−	NUM
ejpam-6517	490	5	s∗	s∗	PROPN
ejpam-6517	490	6	s	s	PART
ejpam-6517	490	7	−	−	PROPN
ejpam-6517	490	8	v∗	v∗	PROPN
ejpam-6517	490	9	v	v	ADP
ejpam-6517	490	10	−	−	NOUN
ejpam-6517	490	11	sv∗	sv∗	NOUN
ejpam-6517	490	12	s∗v	s∗v	NUM
ejpam-6517	490	13	)	)	PUNCT
ejpam-6517	491	1	+	+	CCONJ
ejpam-6517	491	2	µ0s∗	µ0s∗	NOUN
ejpam-6517	491	3	(	(	PUNCT
ejpam-6517	491	4	2−	2−	NUM
ejpam-6517	491	5	s	s	PART
ejpam-6517	491	6	s∗	s∗	NOUN
ejpam-6517	491	7	−	−	PROPN
ejpam-6517	491	8	s∗	s∗	PROPN
ejpam-6517	491	9	s	s	PART
ejpam-6517	491	10	)	)	PUNCT
ejpam-6517	491	11	+	+	CCONJ
ejpam-6517	491	12	c1v∗(1−	c1v∗(1−	PROPN
ejpam-6517	491	13	s∗v	s∗v	NUM
ejpam-6517	491	14	sv∗	sv∗	NOUN
ejpam-6517	491	15	−	−	PROPN
ejpam-6517	491	16	(	(	PUNCT
ejpam-6517	491	17	1−	1−	NUM
ejpam-6517	491	18	v∗	v∗	NOUN
ejpam-6517	491	19	v	v	NOUN
ejpam-6517	491	20	)	)	PUNCT
ejpam-6517	491	21	−	−	PROPN
ejpam-6517	491	22	(	(	PUNCT
ejpam-6517	491	23	1−	1−	NUM
ejpam-6517	491	24	s∗	s∗	PROPN
ejpam-6517	491	25	s	s	PART
ejpam-6517	491	26	)	)	PUNCT
ejpam-6517	491	27	)	)	PUNCT
ejpam-6517	492	1	+	+	CCONJ
ejpam-6517	492	2	αe∗	αe∗	NOUN
ejpam-6517	492	3	(	(	PUNCT
ejpam-6517	492	4	2−	2−	NUM
ejpam-6517	492	5	e	e	NOUN
ejpam-6517	492	6	e∗	e∗	PROPN
ejpam-6517	492	7	−	−	PROPN
ejpam-6517	493	1	i	i	PRON
ejpam-6517	493	2	i∗	i∗	VERB
ejpam-6517	493	3	+	+	CCONJ
ejpam-6517	493	4	im∗	im∗	NOUN
ejpam-6517	493	5	i∗m	i∗m	PUNCT
ejpam-6517	493	6	−	−	PROPN
ejpam-6517	493	7	ei∗	ei∗	NOUN
ejpam-6517	493	8	e∗i	e∗i	NUM
ejpam-6517	493	9	(	(	PUNCT
ejpam-6517	493	10	1−	1−	NUM
ejpam-6517	493	11	i	i	PRON
ejpam-6517	493	12	i∗	i∗	VERB
ejpam-6517	493	13	)	)	PUNCT
ejpam-6517	494	1	+	+	CCONJ
ejpam-6517	494	2	(	(	PUNCT
ejpam-6517	494	3	r1	r1	PROPN
ejpam-6517	494	4	+	+	CCONJ
ejpam-6517	494	5	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	494	6	(	(	PUNCT
ejpam-6517	494	7	2−	2−	NUM
ejpam-6517	494	8	e	e	NOUN
ejpam-6517	494	9	e	e	NOUN
ejpam-6517	494	10	∗	∗	NOUN
ejpam-6517	494	11	−	−	PROPN
ejpam-6517	494	12	(	(	PUNCT
ejpam-6517	494	13	1−	1−	NUM
ejpam-6517	494	14	im∗	im∗	NOUN
ejpam-6517	494	15	i∗m	i∗m	X
ejpam-6517	494	16	)	)	PUNCT
ejpam-6517	494	17	)	)	PUNCT
ejpam-6517	494	18	)	)	PUNCT
ejpam-6517	494	19	.	.	PUNCT
ejpam-6517	495	1	(	(	PUNCT
ejpam-6517	495	2	22	22	NUM
ejpam-6517	495	3	)	)	PUNCT
ejpam-6517	495	4	now	now	ADV
ejpam-6517	495	5	,	,	PUNCT
ejpam-6517	495	6	we	we	PRON
ejpam-6517	495	7	consider	consider	VERB
ejpam-6517	495	8	last	last	ADJ
ejpam-6517	495	9	term	term	NOUN
ejpam-6517	495	10	from	from	ADP
ejpam-6517	495	11	equation	equation	NOUN
ejpam-6517	495	12	(	(	PUNCT
ejpam-6517	495	13	15	15	NUM
ejpam-6517	495	14	)	)	PUNCT
ejpam-6517	495	15	,	,	PUNCT
ejpam-6517	495	16	t∗	t∗	PROPN
ejpam-6517	495	17	(	(	PUNCT
ejpam-6517	495	18	k1	k1	NOUN
ejpam-6517	495	19	+	+	CCONJ
ejpam-6517	495	20	1	1	NUM
ejpam-6517	495	21	θi∗	θi∗	NUM
ejpam-6517	495	22	)	)	PUNCT
ejpam-6517	496	1	(	(	PUNCT
ejpam-6517	496	2	1−	1−	NUM
ejpam-6517	496	3	t∗	t∗	NOUN
ejpam-6517	496	4	t	t	PROPN
ejpam-6517	496	5	)	)	PUNCT
ejpam-6517	496	6	t	t	NOUN
ejpam-6517	496	7	′	′	NUM
ejpam-6517	496	8	=	=	SYM
ejpam-6517	496	9	t∗	t∗	PROPN
ejpam-6517	496	10	(	(	PUNCT
ejpam-6517	496	11	k1	k1	NOUN
ejpam-6517	496	12	+	+	CCONJ
ejpam-6517	496	13	1	1	NUM
ejpam-6517	496	14	θi∗	θi∗	NUM
ejpam-6517	496	15	)	)	PUNCT
ejpam-6517	496	16	(	(	PUNCT
ejpam-6517	496	17	1−	1−	NUM
ejpam-6517	496	18	t∗	t∗	NOUN
ejpam-6517	496	19	t	t	NOUN
ejpam-6517	496	20	)	)	PUNCT
ejpam-6517	496	21	(	(	PUNCT
ejpam-6517	496	22	θi−	θi−	X
ejpam-6517	496	23	k4	k4	PROPN
ejpam-6517	496	24	t	t	PROPN
ejpam-6517	496	25	)	)	PUNCT
ejpam-6517	496	26	since	since	SCONJ
ejpam-6517	496	27	k4t∗	k4t∗	PROPN
ejpam-6517	496	28	=	=	PUNCT
ejpam-6517	496	29	θi∗	θi∗	X
ejpam-6517	497	1	=	=	AUX
ejpam-6517	497	2	⇒	⇒	VERB
ejpam-6517	497	3	k4	k4	NOUN
ejpam-6517	497	4	=	=	NOUN
ejpam-6517	497	5	θi∗	θi∗	ADJ
ejpam-6517	497	6	t∗	t∗	NOUN
ejpam-6517	497	7	t∗	t∗	NOUN
ejpam-6517	497	8	(	(	PUNCT
ejpam-6517	497	9	k1	k1	NOUN
ejpam-6517	497	10	+	+	CCONJ
ejpam-6517	497	11	1	1	NUM
ejpam-6517	497	12	θi∗	θi∗	NUM
ejpam-6517	497	13	)	)	PUNCT
ejpam-6517	497	14	(	(	PUNCT
ejpam-6517	497	15	1−	1−	NUM
ejpam-6517	497	16	t∗	t∗	NOUN
ejpam-6517	497	17	t	t	PROPN
ejpam-6517	497	18	)	)	PUNCT
ejpam-6517	498	1	t	t	NOUN
ejpam-6517	498	2	′	′	NOUN
ejpam-6517	499	1	=	=	PUNCT
ejpam-6517	499	2	t∗	t∗	NOUN
ejpam-6517	499	3	(	(	PUNCT
ejpam-6517	499	4	k1	k1	NOUN
ejpam-6517	499	5	+	+	CCONJ
ejpam-6517	499	6	1	1	NUM
ejpam-6517	499	7	θi∗	θi∗	NUM
ejpam-6517	499	8	)	)	PUNCT
ejpam-6517	499	9	(	(	PUNCT
ejpam-6517	499	10	1−	1−	NUM
ejpam-6517	499	11	t∗	t∗	NOUN
ejpam-6517	499	12	t	t	NOUN
ejpam-6517	499	13	)	)	PUNCT
ejpam-6517	499	14	(	(	PUNCT
ejpam-6517	499	15	θi−	θi−	SYM
ejpam-6517	499	16	θi′	θi′	VERB
ejpam-6517	499	17	t∗t	t∗t	NUM
ejpam-6517	499	18	)	)	PUNCT
ejpam-6517	499	19	,	,	PUNCT
ejpam-6517	500	1	=	=	SYM
ejpam-6517	500	2	θ(t∗	θ(t∗	NOUN
ejpam-6517	500	3	(	(	PUNCT
ejpam-6517	500	4	k1	k1	NOUN
ejpam-6517	500	5	+	+	CCONJ
ejpam-6517	500	6	1	1	NUM
ejpam-6517	500	7	θi∗	θi∗	NUM
ejpam-6517	500	8	)	)	PUNCT
ejpam-6517	500	9	(	(	PUNCT
ejpam-6517	500	10	1−	1−	NUM
ejpam-6517	500	11	t∗	t∗	NOUN
ejpam-6517	500	12	t	t	NOUN
ejpam-6517	500	13	)	)	PUNCT
ejpam-6517	500	14	(	(	PUNCT
ejpam-6517	500	15	i−	i−	PROPN
ejpam-6517	500	16	i′	i′	NOUN
ejpam-6517	500	17	t∗t	t∗t	NUM
ejpam-6517	500	18	)	)	PUNCT
ejpam-6517	500	19	,	,	PUNCT
ejpam-6517	500	20	=	=	PUNCT
ejpam-6517	500	21	t∗	t∗	NOUN
ejpam-6517	500	22	(	(	PUNCT
ejpam-6517	500	23	k1	k1	NOUN
ejpam-6517	500	24	+	+	CCONJ
ejpam-6517	500	25	1	1	NUM
ejpam-6517	500	26	i∗	i∗	NOUN
ejpam-6517	500	27	)	)	PUNCT
ejpam-6517	500	28	(	(	PUNCT
ejpam-6517	500	29	1−	1−	NUM
ejpam-6517	500	30	t∗	t∗	NOUN
ejpam-6517	500	31	t	t	NOUN
ejpam-6517	500	32	)	)	PUNCT
ejpam-6517	500	33	(	(	PUNCT
ejpam-6517	500	34	i−	i−	PROPN
ejpam-6517	500	35	i′	i′	NOUN
ejpam-6517	500	36	t∗t	t∗t	NUM
ejpam-6517	500	37	)	)	PUNCT
ejpam-6517	500	38	,	,	PUNCT
ejpam-6517	500	39	=	=	PUNCT
ejpam-6517	500	40	k1t∗	k1t∗	PROPN
ejpam-6517	500	41	+	+	CCONJ
ejpam-6517	500	42	t∗	t∗	NOUN
ejpam-6517	500	43	i∗	i∗	NOUN
ejpam-6517	500	44	(	(	PUNCT
ejpam-6517	500	45	i+	i+	PRON
ejpam-6517	500	46	i∗	i∗	NOUN
ejpam-6517	500	47	−	−	PROPN
ejpam-6517	500	48	ti∗	ti∗	NOUN
ejpam-6517	500	49	t∗	t∗	NOUN
ejpam-6517	500	50	−	−	PROPN
ejpam-6517	500	51	t∗i	t∗i	SYM
ejpam-6517	500	52	t	t	NOUN
ejpam-6517	500	53	)	)	PUNCT
ejpam-6517	500	54	,	,	PUNCT
ejpam-6517	500	55	=	=	PUNCT
ejpam-6517	500	56	k1t∗i	k1t∗i	X
ejpam-6517	500	57	i∗	i∗	NOUN
ejpam-6517	501	1	+	+	CCONJ
ejpam-6517	501	2	k1t∗	k1t∗	PROPN
ejpam-6517	501	3	−	−	PROPN
ejpam-6517	502	1	k1t−	k1t−	INTJ
ejpam-6517	502	2	k1t∗2i	k1t∗2i	PROPN
ejpam-6517	502	3	ti∗	ti∗	PUNCT
ejpam-6517	503	1	+	+	NUM
ejpam-6517	503	2	t∗i	t∗i	PUNCT
ejpam-6517	503	3	i∗	i∗	NOUN
ejpam-6517	503	4	+	+	CCONJ
ejpam-6517	503	5	t∗	t∗	NOUN
ejpam-6517	503	6	−	−	PROPN
ejpam-6517	503	7	t−	t−	PROPN
ejpam-6517	503	8	t∗2i	t∗2i	ADJ
ejpam-6517	503	9	ti∗	ti∗	NOUN
ejpam-6517	503	10	,	,	PUNCT
ejpam-6517	503	11	=	=	PUNCT
ejpam-6517	503	12	t∗	t∗	NOUN
ejpam-6517	503	13	(	(	PUNCT
ejpam-6517	503	14	1−	1−	NUM
ejpam-6517	503	15	t∗	t∗	NOUN
ejpam-6517	503	16	t	t	PROPN
ejpam-6517	503	17	−	−	PROPN
ejpam-6517	503	18	t∗i	t∗i	X
ejpam-6517	503	19	ti∗	ti∗	NOUN
ejpam-6517	504	1	+	+	CCONJ
ejpam-6517	504	2	i	i	PRON
ejpam-6517	504	3	i∗	i∗	NOUN
ejpam-6517	504	4	)	)	PUNCT
ejpam-6517	505	1	+	+	CCONJ
ejpam-6517	505	2	k1t∗	k1t∗	PROPN
ejpam-6517	505	3	(	(	PUNCT
ejpam-6517	505	4	1−	1−	NUM
ejpam-6517	505	5	t∗	t∗	NOUN
ejpam-6517	505	6	t	t	PROPN
ejpam-6517	505	7	−	−	PROPN
ejpam-6517	505	8	t∗i	t∗i	X
ejpam-6517	505	9	ti∗	ti∗	NOUN
ejpam-6517	506	1	+	+	CCONJ
ejpam-6517	506	2	i	i	PRON
ejpam-6517	506	3	i∗	i∗	NOUN
ejpam-6517	506	4	)	)	PUNCT
ejpam-6517	506	5	,	,	PUNCT
ejpam-6517	507	1	=	=	PUNCT
ejpam-6517	507	2	t∗	t∗	NOUN
ejpam-6517	507	3	(	(	PUNCT
ejpam-6517	507	4	1−	1−	NUM
ejpam-6517	507	5	t∗	t∗	NOUN
ejpam-6517	507	6	t	t	PROPN
ejpam-6517	507	7	−	−	PROPN
ejpam-6517	507	8	t∗i	t∗i	X
ejpam-6517	507	9	ti∗	ti∗	NOUN
ejpam-6517	507	10	(	(	PUNCT
ejpam-6517	507	11	1−	1−	NUM
ejpam-6517	507	12	t	t	NOUN
ejpam-6517	507	13	t∗	t∗	NOUN
ejpam-6517	507	14	)	)	PUNCT
ejpam-6517	507	15	)	)	PUNCT
ejpam-6517	508	1	+	+	CCONJ
ejpam-6517	508	2	k1t∗	k1t∗	PROPN
ejpam-6517	508	3	(	(	PUNCT
ejpam-6517	508	4	1−	1−	NUM
ejpam-6517	508	5	t∗	t∗	NOUN
ejpam-6517	508	6	t	t	PROPN
ejpam-6517	508	7	−	−	PROPN
ejpam-6517	508	8	t∗i	t∗i	X
ejpam-6517	508	9	ti∗	ti∗	NOUN
ejpam-6517	508	10	(	(	PUNCT
ejpam-6517	508	11	1−	1−	NUM
ejpam-6517	508	12	t	t	NOUN
ejpam-6517	508	13	t∗	t∗	NOUN
ejpam-6517	508	14	)	)	PUNCT
ejpam-6517	508	15	)	)	PUNCT
ejpam-6517	508	16	.	.	PUNCT
ejpam-6517	509	1	(	(	PUNCT
ejpam-6517	509	2	23	23	X
ejpam-6517	509	3	)	)	PUNCT
ejpam-6517	509	4	adding	add	VERB
ejpam-6517	509	5	equations	equation	NOUN
ejpam-6517	509	6	(	(	PUNCT
ejpam-6517	509	7	22	22	NUM
ejpam-6517	509	8	)	)	PUNCT
ejpam-6517	509	9	and	and	CCONJ
ejpam-6517	509	10	(	(	PUNCT
ejpam-6517	509	11	23	23	NUM
ejpam-6517	509	12	)	)	PUNCT
ejpam-6517	509	13	,	,	PUNCT
ejpam-6517	509	14	so	so	ADV
ejpam-6517	509	15	finally	finally	ADV
ejpam-6517	509	16	we	we	PRON
ejpam-6517	509	17	get	get	VERB
ejpam-6517	509	18	;	;	PUNCT
ejpam-6517	509	19	u	u	NOUN
ejpam-6517	509	20	′	′	NOUN
ejpam-6517	509	21	1(t	1(t	NUM
ejpam-6517	509	22	)	)	PUNCT
ejpam-6517	510	1	=	=	SYM
ejpam-6517	510	2	(	(	PUNCT
ejpam-6517	510	3	1−	1−	NUM
ejpam-6517	510	4	s∗	s∗	PROPN
ejpam-6517	510	5	s	s	PART
ejpam-6517	510	6	)	)	PUNCT
ejpam-6517	510	7	s	s	PART
ejpam-6517	510	8	′	′	NOUN
ejpam-6517	511	1	+	+	CCONJ
ejpam-6517	511	2	(	(	PUNCT
ejpam-6517	511	3	1−	1−	NUM
ejpam-6517	511	4	v∗	v∗	NOUN
ejpam-6517	511	5	v	v	NOUN
ejpam-6517	511	6	)	)	PUNCT
ejpam-6517	511	7	v	v	NOUN
ejpam-6517	511	8	′	′	NUM
ejpam-6517	512	1	+	+	CCONJ
ejpam-6517	512	2	(	(	PUNCT
ejpam-6517	512	3	1−	1−	NUM
ejpam-6517	512	4	e∗	e∗	PROPN
ejpam-6517	512	5	e	e	X
ejpam-6517	512	6	)	)	PUNCT
ejpam-6517	513	1	e	e	X
ejpam-6517	513	2	′	′	NOUN
ejpam-6517	514	1	+	+	CCONJ
ejpam-6517	514	2	(	(	PUNCT
ejpam-6517	514	3	1−	1−	NUM
ejpam-6517	514	4	i∗	i∗	NOUN
ejpam-6517	514	5	i	i	NOUN
ejpam-6517	514	6	)	)	PUNCT
ejpam-6517	515	1	i	i	PRON
ejpam-6517	515	2	′	′	VERB
ejpam-6517	516	1	+	+	CCONJ
ejpam-6517	516	2	t∗	t∗	NOUN
ejpam-6517	516	3	(	(	PUNCT
ejpam-6517	516	4	k1	k1	NOUN
ejpam-6517	516	5	+	+	CCONJ
ejpam-6517	516	6	1	1	NUM
ejpam-6517	516	7	θi∗	θi∗	NUM
ejpam-6517	516	8	)	)	PUNCT
ejpam-6517	516	9	(	(	PUNCT
ejpam-6517	516	10	1−	1−	NUM
ejpam-6517	516	11	t∗	t∗	NOUN
ejpam-6517	516	12	t	t	PROPN
ejpam-6517	516	13	)	)	PUNCT
ejpam-6517	517	1	t	t	NOUN
ejpam-6517	517	2	′	′	NUM
ejpam-6517	517	3	=	=	SYM
ejpam-6517	517	4	ki∗s∗	ki∗s∗	ADJ
ejpam-6517	517	5	m∗	m∗	PROPN
ejpam-6517	517	6	(	(	PUNCT
ejpam-6517	517	7	1−	1−	NUM
ejpam-6517	517	8	s∗	s∗	PROPN
ejpam-6517	517	9	s	s	PART
ejpam-6517	517	10	−	−	PROPN
ejpam-6517	517	11	ism∗e∗	ism∗e∗	PROPN
ejpam-6517	517	12	i∗s∗me	i∗s∗me	PROPN
ejpam-6517	517	13	)	)	PUNCT
ejpam-6517	517	14	m.	m.	NOUN
ejpam-6517	517	15	mohiudin	mohiudin	PROPN
ejpam-6517	517	16	et	et	PROPN
ejpam-6517	517	17	al	al	PROPN
ejpam-6517	517	18	.	.	PUNCT
ejpam-6517	517	19	/	/	SYM
ejpam-6517	517	20	eur	eur	PROPN
ejpam-6517	517	21	.	.	PUNCT
ejpam-6517	518	1	j.	j.	PROPN
ejpam-6517	518	2	pure	pure	PROPN
ejpam-6517	518	3	appl	appl	PROPN
ejpam-6517	518	4	.	.	PROPN
ejpam-6517	518	5	math	math	PROPN
ejpam-6517	518	6	,	,	PUNCT
ejpam-6517	518	7	18	18	NUM
ejpam-6517	518	8	(	(	PUNCT
ejpam-6517	518	9	3	3	NUM
ejpam-6517	518	10	)	)	PUNCT
ejpam-6517	518	11	(	(	PUNCT
ejpam-6517	518	12	2025	2025	NUM
ejpam-6517	518	13	)	)	PUNCT
ejpam-6517	518	14	,	,	PUNCT
ejpam-6517	518	15	6517	6517	NUM
ejpam-6517	518	16	22	22	NUM
ejpam-6517	518	17	of	of	ADP
ejpam-6517	518	18	40	40	NUM
ejpam-6517	518	19	+	+	CCONJ
ejpam-6517	518	20	c2s∗	c2s∗	PROPN
ejpam-6517	519	1	(	(	PUNCT
ejpam-6517	519	2	3−	3−	NUM
ejpam-6517	519	3	s∗	s∗	PROPN
ejpam-6517	519	4	s	s	PART
ejpam-6517	519	5	−	−	PROPN
ejpam-6517	519	6	v∗	v∗	PROPN
ejpam-6517	519	7	v	v	ADP
ejpam-6517	519	8	−	−	NOUN
ejpam-6517	519	9	sv∗	sv∗	NOUN
ejpam-6517	519	10	s∗v	s∗v	NUM
ejpam-6517	519	11	)	)	PUNCT
ejpam-6517	520	1	+	+	CCONJ
ejpam-6517	520	2	µ0s∗	µ0s∗	NOUN
ejpam-6517	520	3	(	(	PUNCT
ejpam-6517	520	4	2−	2−	NUM
ejpam-6517	520	5	s	s	PART
ejpam-6517	520	6	s∗	s∗	NOUN
ejpam-6517	520	7	−	−	PROPN
ejpam-6517	520	8	s∗	s∗	PROPN
ejpam-6517	520	9	s	s	PART
ejpam-6517	520	10	)	)	PUNCT
ejpam-6517	521	1	+	+	CCONJ
ejpam-6517	521	2	c1v∗	c1v∗	NOUN
ejpam-6517	521	3	(	(	PUNCT
ejpam-6517	521	4	1−	1−	NUM
ejpam-6517	521	5	s∗v	s∗v	PROPN
ejpam-6517	521	6	sv∗	sv∗	NOUN
ejpam-6517	521	7	−	−	PROPN
ejpam-6517	521	8	(	(	PUNCT
ejpam-6517	521	9	1−	1−	NUM
ejpam-6517	521	10	v∗	v∗	NOUN
ejpam-6517	521	11	v	v	NOUN
ejpam-6517	521	12	)	)	PUNCT
ejpam-6517	521	13	−	−	PROPN
ejpam-6517	522	1	(	(	PUNCT
ejpam-6517	522	2	1−	1−	NUM
ejpam-6517	522	3	s∗	s∗	PROPN
ejpam-6517	522	4	s	s	PART
ejpam-6517	522	5	)	)	PUNCT
ejpam-6517	522	6	)	)	PUNCT
ejpam-6517	523	1	+	+	CCONJ
ejpam-6517	523	2	αe∗	αe∗	NOUN
ejpam-6517	523	3	(	(	PUNCT
ejpam-6517	523	4	2−	2−	NUM
ejpam-6517	523	5	e	e	NOUN
ejpam-6517	523	6	e∗	e∗	PROPN
ejpam-6517	523	7	−	−	PROPN
ejpam-6517	524	1	i	i	PRON
ejpam-6517	524	2	i∗	i∗	VERB
ejpam-6517	524	3	+	+	CCONJ
ejpam-6517	524	4	im∗	im∗	NOUN
ejpam-6517	524	5	i∗m	i∗m	PUNCT
ejpam-6517	524	6	−	−	PROPN
ejpam-6517	524	7	ei∗	ei∗	NOUN
ejpam-6517	524	8	e∗i	e∗i	NUM
ejpam-6517	524	9	(	(	PUNCT
ejpam-6517	524	10	1−	1−	NUM
ejpam-6517	524	11	i	i	PRON
ejpam-6517	524	12	i∗	i∗	NOUN
ejpam-6517	524	13	)	)	PUNCT
ejpam-6517	524	14	)	)	PUNCT
ejpam-6517	525	1	+	+	CCONJ
ejpam-6517	525	2	(	(	PUNCT
ejpam-6517	525	3	r1	r1	PROPN
ejpam-6517	525	4	+	+	CCONJ
ejpam-6517	525	5	µ0)e∗	µ0)e∗	PROPN
ejpam-6517	525	6	(	(	PUNCT
ejpam-6517	525	7	2−	2−	NUM
ejpam-6517	525	8	e	e	NOUN
ejpam-6517	525	9	e∗	e∗	PROPN
ejpam-6517	525	10	−	−	PROPN
ejpam-6517	525	11	(	(	PUNCT
ejpam-6517	525	12	1−	1−	NUM
ejpam-6517	525	13	im∗	im∗	NOUN
ejpam-6517	525	14	i∗m	i∗m	X
ejpam-6517	525	15	)	)	PUNCT
ejpam-6517	525	16	)	)	PUNCT
ejpam-6517	526	1	+	+	CCONJ
ejpam-6517	526	2	t∗	t∗	NOUN
ejpam-6517	526	3	(	(	PUNCT
ejpam-6517	526	4	1−	1−	NUM
ejpam-6517	526	5	t∗	t∗	NOUN
ejpam-6517	526	6	t	t	PROPN
ejpam-6517	526	7	−	−	PROPN
ejpam-6517	526	8	t∗i	t∗i	X
ejpam-6517	526	9	ti∗	ti∗	NOUN
ejpam-6517	526	10	(	(	PUNCT
ejpam-6517	526	11	1−	1−	NUM
ejpam-6517	526	12	t	t	NOUN
ejpam-6517	526	13	t∗	t∗	NOUN
ejpam-6517	526	14	)	)	PUNCT
ejpam-6517	526	15	)	)	PUNCT
ejpam-6517	527	1	+	+	CCONJ
ejpam-6517	527	2	k1t∗	k1t∗	PROPN
ejpam-6517	527	3	(	(	PUNCT
ejpam-6517	527	4	1−	1−	NUM
ejpam-6517	527	5	t∗	t∗	NOUN
ejpam-6517	527	6	t	t	PROPN
ejpam-6517	527	7	−	−	PROPN
ejpam-6517	527	8	t∗i	t∗i	X
ejpam-6517	527	9	ti∗	ti∗	NOUN
ejpam-6517	527	10	(	(	PUNCT
ejpam-6517	527	11	1−	1−	NUM
ejpam-6517	527	12	t	t	NOUN
ejpam-6517	527	13	t∗	t∗	NOUN
ejpam-6517	527	14	)	)	PUNCT
ejpam-6517	527	15	)	)	PUNCT
ejpam-6517	527	16	.	.	PUNCT
ejpam-6517	528	1	(	(	PUNCT
ejpam-6517	528	2	24	24	NUM
ejpam-6517	528	3	)	)	PUNCT
ejpam-6517	528	4	the	the	DET
ejpam-6517	528	5	following	follow	VERB
ejpam-6517	528	6	inequality	inequality	NOUN
ejpam-6517	528	7	from	from	ADP
ejpam-6517	528	8	equation	equation	NOUN
ejpam-6517	528	9	(	(	PUNCT
ejpam-6517	528	10	24	24	NUM
ejpam-6517	528	11	)	)	PUNCT
ejpam-6517	528	12	is	be	AUX
ejpam-6517	528	13	true	true	ADJ
ejpam-6517	528	14	since	since	SCONJ
ejpam-6517	528	15	the	the	DET
ejpam-6517	528	16	arithmetic	arithmetic	ADJ
ejpam-6517	528	17	mean	mean	NOUN
ejpam-6517	528	18	is	be	AUX
ejpam-6517	528	19	greater	great	ADJ
ejpam-6517	528	20	than	than	ADP
ejpam-6517	528	21	the	the	DET
ejpam-6517	528	22	geometric	geometric	ADJ
ejpam-6517	528	23	mean	mean	NOUN
ejpam-6517	528	24	:	:	PUNCT
ejpam-6517	528	25	hence	hence	ADV
ejpam-6517	528	26	,	,	PUNCT
ejpam-6517	528	27	we	we	PRON
ejpam-6517	528	28	conclude	conclude	VERB
ejpam-6517	528	29	that	that	SCONJ
ejpam-6517	528	30	u′	u′	PRON
ejpam-6517	528	31	1(t	1(t	NUM
ejpam-6517	528	32	)	)	PUNCT
ejpam-6517	528	33	≤	≤	NUM
ejpam-6517	528	34	0	0	NUM
ejpam-6517	528	35	,	,	PUNCT
ejpam-6517	528	36	because	because	SCONJ
ejpam-6517	528	37	the	the	DET
ejpam-6517	528	38	geometric	geometric	ADJ
ejpam-6517	528	39	mean	mean	NOUN
ejpam-6517	528	40	is	be	AUX
ejpam-6517	528	41	smaller	small	ADJ
ejpam-6517	528	42	than	than	ADP
ejpam-6517	528	43	the	the	DET
ejpam-6517	528	44	arithmetic	arithmetic	ADJ
ejpam-6517	528	45	mean	mean	NOUN
ejpam-6517	528	46	,	,	PUNCT
ejpam-6517	528	47	and	and	CCONJ
ejpam-6517	528	48	exercise	exercise	VERB
ejpam-6517	528	49	the	the	DET
ejpam-6517	528	50	lasalle	lasalle	NOUN
ejpam-6517	528	51	’s	’s	PART
ejpam-6517	528	52	invariance	invariance	NOUN
ejpam-6517	528	53	rule	rule	NOUN
ejpam-6517	528	54	,	,	PUNCT
ejpam-6517	528	55	we	we	PRON
ejpam-6517	528	56	get	get	VERB
ejpam-6517	528	57	that	that	SCONJ
ejpam-6517	528	58	the	the	DET
ejpam-6517	528	59	measle	measle	PROPN
ejpam-6517	528	60	model	model	NOUN
ejpam-6517	528	61	(	(	PUNCT
ejpam-6517	528	62	1	1	X
ejpam-6517	528	63	)	)	PUNCT
ejpam-6517	528	64	is	be	AUX
ejpam-6517	528	65	global	global	ADJ
ejpam-6517	528	66	asymptotically	asymptotically	ADV
ejpam-6517	528	67	stable	stable	ADJ
ejpam-6517	528	68	at	at	ADP
ejpam-6517	528	69	eep	eep	PROPN
ejpam-6517	528	70	f∗	f∗	NOUN
ejpam-6517	528	71	,	,	PUNCT
ejpam-6517	528	72	when	when	SCONJ
ejpam-6517	528	73	r0	r0	NOUN
ejpam-6517	528	74	≥	≥	NOUN
ejpam-6517	528	75	1	1	NUM
ejpam-6517	528	76	.	.	NOUN
ejpam-6517	529	1	6	6	NUM
ejpam-6517	529	2	.	.	X
ejpam-6517	529	3	sensitivity	sensitivity	NOUN
ejpam-6517	529	4	analysis	analysis	NOUN
ejpam-6517	529	5	this	this	DET
ejpam-6517	529	6	section	section	NOUN
ejpam-6517	529	7	presents	present	VERB
ejpam-6517	529	8	the	the	DET
ejpam-6517	529	9	sensitivity	sensitivity	NOUN
ejpam-6517	529	10	analysis	analysis	NOUN
ejpam-6517	529	11	that	that	PRON
ejpam-6517	529	12	account	account	VERB
ejpam-6517	529	13	for	for	ADP
ejpam-6517	529	14	all	all	DET
ejpam-6517	529	15	variables	variable	NOUN
ejpam-6517	529	16	that	that	PRON
ejpam-6517	529	17	significantly	significantly	ADV
ejpam-6517	529	18	affect	affect	VERB
ejpam-6517	529	19	the	the	DET
ejpam-6517	529	20	basic	basic	ADJ
ejpam-6517	529	21	reproduction	reproduction	NOUN
ejpam-6517	529	22	number	number	NOUN
ejpam-6517	529	23	r0	r0	NOUN
ejpam-6517	529	24	.	.	PUNCT
ejpam-6517	530	1	sensitivity	sensitivity	NOUN
ejpam-6517	530	2	analysis	analysis	NOUN
ejpam-6517	530	3	is	be	AUX
ejpam-6517	530	4	recommended	recommend	VERB
ejpam-6517	530	5	to	to	PART
ejpam-6517	530	6	determine	determine	VERB
ejpam-6517	530	7	the	the	DET
ejpam-6517	530	8	importance	importance	NOUN
ejpam-6517	530	9	of	of	ADP
ejpam-6517	530	10	the	the	DET
ejpam-6517	530	11	numerous	numerous	ADJ
ejpam-6517	530	12	factors	factor	NOUN
ejpam-6517	530	13	affecting	affect	VERB
ejpam-6517	530	14	the	the	DET
ejpam-6517	530	15	occurrence	occurrence	NOUN
ejpam-6517	530	16	and	and	CCONJ
ejpam-6517	530	17	spread	spread	VERB
ejpam-6517	530	18	of	of	ADP
ejpam-6517	530	19	disease	disease	NOUN
ejpam-6517	530	20	.	.	PUNCT
ejpam-6517	531	1	in	in	ADP
ejpam-6517	531	2	addition	addition	NOUN
ejpam-6517	531	3	to	to	ADP
ejpam-6517	531	4	preventing	prevent	VERB
ejpam-6517	531	5	the	the	DET
ejpam-6517	531	6	spread	spread	NOUN
ejpam-6517	531	7	of	of	ADP
ejpam-6517	531	8	diseases	disease	NOUN
ejpam-6517	531	9	,	,	PUNCT
ejpam-6517	531	10	obtainingr0	obtainingr0	NOUN
ejpam-6517	531	11	<	<	X
ejpam-6517	531	12	1	1	NUM
ejpam-6517	531	13	needs	need	NOUN
ejpam-6517	531	14	managing	manage	VERB
ejpam-6517	531	15	the	the	DET
ejpam-6517	531	16	system	system	NOUN
ejpam-6517	531	17	(	(	PUNCT
ejpam-6517	531	18	?	?	PUNCT
ejpam-6517	531	19	?	?	PUNCT
ejpam-6517	531	20	)	)	PUNCT
ejpam-6517	531	21	variables	variable	NOUN
ejpam-6517	531	22	.	.	PUNCT
ejpam-6517	532	1	the	the	DET
ejpam-6517	532	2	sensitive	sensitive	ADJ
ejpam-6517	532	3	index	index	NOUN
ejpam-6517	532	4	,	,	PUNCT
ejpam-6517	532	5	which	which	PRON
ejpam-6517	532	6	shows	show	VERB
ejpam-6517	532	7	the	the	DET
ejpam-6517	532	8	ratio	ratio	NOUN
ejpam-6517	532	9	of	of	ADP
ejpam-6517	532	10	modifications	modification	NOUN
ejpam-6517	532	11	in	in	ADP
ejpam-6517	532	12	an	an	DET
ejpam-6517	532	13	element	element	NOUN
ejpam-6517	532	14	to	to	ADP
ejpam-6517	532	15	changes	change	NOUN
ejpam-6517	532	16	in	in	ADP
ejpam-6517	532	17	a	a	DET
ejpam-6517	532	18	parameter	parameter	NOUN
ejpam-6517	532	19	,	,	PUNCT
ejpam-6517	532	20	can	can	AUX
ejpam-6517	532	21	be	be	AUX
ejpam-6517	532	22	calculated	calculate	VERB
ejpam-6517	532	23	using	use	VERB
ejpam-6517	532	24	the	the	DET
ejpam-6517	532	25	formula	formula	NOUN
ejpam-6517	532	26	.	.	PUNCT
ejpam-6517	533	1	the	the	DET
ejpam-6517	533	2	sensitivity	sensitivity	NOUN
ejpam-6517	533	3	index	index	NOUN
ejpam-6517	533	4	for	for	ADP
ejpam-6517	533	5	each	each	DET
ejpam-6517	533	6	parameter	parameter	NOUN
ejpam-6517	533	7	involved	involve	VERB
ejpam-6517	533	8	in	in	ADP
ejpam-6517	533	9	the	the	DET
ejpam-6517	533	10	fundamental	fundamental	ADJ
ejpam-6517	533	11	reproduction	reproduction	NOUN
ejpam-6517	533	12	numbers	number	NOUN
ejpam-6517	533	13	r0	r0	VERB
ejpam-6517	533	14	<	<	X
ejpam-6517	533	15	1	1	NUM
ejpam-6517	533	16	is	be	AUX
ejpam-6517	533	17	shown	show	VERB
ejpam-6517	533	18	in	in	ADP
ejpam-6517	533	19	the	the	DET
ejpam-6517	533	20	next	next	ADJ
ejpam-6517	533	21	1	1	NUM
ejpam-6517	533	22	.	.	PUNCT
ejpam-6517	534	1	g[y	g[y	NOUN
ejpam-6517	534	2	]	]	X
ejpam-6517	534	3	=	=	SYM
ejpam-6517	534	4	x	x	SYM
ejpam-6517	534	5	r0	r0	NOUN
ejpam-6517	534	6	∂r0	∂r0	ADP
ejpam-6517	534	7	∂x	∂x	PROPN
ejpam-6517	534	8	,	,	PUNCT
ejpam-6517	534	9	where	where	SCONJ
ejpam-6517	534	10	x	x	SYM
ejpam-6517	534	11	average	average	ADJ
ejpam-6517	534	12	factor	factor	NOUN
ejpam-6517	534	13	of	of	ADP
ejpam-6517	534	14	r0	r0	NOUN
ejpam-6517	534	15	is	be	AUX
ejpam-6517	534	16	the	the	DET
ejpam-6517	534	17	formula	formula	NOUN
ejpam-6517	534	18	used	use	VERB
ejpam-6517	534	19	to	to	PART
ejpam-6517	534	20	calculate	calculate	VERB
ejpam-6517	534	21	the	the	DET
ejpam-6517	534	22	the	the	DET
ejpam-6517	534	23	variables	variable	NOUN
ejpam-6517	534	24	of	of	ADP
ejpam-6517	534	25	infection	infection	NOUN
ejpam-6517	534	26	constant	constant	ADJ
ejpam-6517	534	27	k	k	NOUN
ejpam-6517	534	28	and	and	CCONJ
ejpam-6517	534	29	infection	infection	NOUN
ejpam-6517	534	30	rate	rate	NOUN
ejpam-6517	534	31	of	of	ADP
ejpam-6517	534	32	measles	measle	NOUN
ejpam-6517	535	1	α	α	PRON
ejpam-6517	535	2	are	be	AUX
ejpam-6517	535	3	the	the	DET
ejpam-6517	535	4	primary	primary	ADJ
ejpam-6517	535	5	variables	variable	NOUN
ejpam-6517	535	6	that	that	PRON
ejpam-6517	535	7	boost	boost	VERB
ejpam-6517	535	8	the	the	DET
ejpam-6517	535	9	basic	basic	ADJ
ejpam-6517	535	10	reproduction	reproduction	NOUN
ejpam-6517	535	11	number	number	NOUN
ejpam-6517	535	12	r0	r0	NOUN
ejpam-6517	535	13	,	,	PUNCT
ejpam-6517	535	14	while	while	SCONJ
ejpam-6517	535	15	the	the	DET
ejpam-6517	535	16	death	death	NOUN
ejpam-6517	535	17	rate	rate	NOUN
ejpam-6517	535	18	c2	c2	PROPN
ejpam-6517	535	19	and	and	CCONJ
ejpam-6517	535	20	vaccination	vaccination	NOUN
ejpam-6517	535	21	rate	rate	NOUN
ejpam-6517	535	22	c1	c1	PROPN
ejpam-6517	535	23	is	be	AUX
ejpam-6517	535	24	the	the	DET
ejpam-6517	535	25	main	main	ADJ
ejpam-6517	535	26	factor	factor	NOUN
ejpam-6517	535	27	that	that	PRON
ejpam-6517	535	28	decreases	decrease	VERB
ejpam-6517	535	29	the	the	DET
ejpam-6517	535	30	basic	basic	ADJ
ejpam-6517	535	31	reproduction	reproduction	NOUN
ejpam-6517	535	32	number	number	NOUN
ejpam-6517	535	33	r0	r0	NOUN
ejpam-6517	535	34	.	.	PUNCT
ejpam-6517	536	1	these	these	DET
ejpam-6517	536	2	parameters	parameter	NOUN
ejpam-6517	536	3	are	be	AUX
ejpam-6517	536	4	directly	directly	ADV
ejpam-6517	536	5	related	relate	VERB
ejpam-6517	536	6	to	to	ADP
ejpam-6517	536	7	r0	r0	VERB
ejpam-6517	536	8	.	.	PUNCT
ejpam-6517	537	1	this	this	PRON
ejpam-6517	537	2	is	be	AUX
ejpam-6517	537	3	evident	evident	ADJ
ejpam-6517	537	4	from	from	ADP
ejpam-6517	537	5	table	table	NOUN
ejpam-6517	537	6	(	(	PUNCT
ejpam-6517	537	7	1	1	NUM
ejpam-6517	537	8	)	)	PUNCT
ejpam-6517	537	9	and	and	CCONJ
ejpam-6517	537	10	fig	fig	NOUN
ejpam-6517	537	11	.	.	PUNCT
ejpam-6517	538	1	(	(	PUNCT
ejpam-6517	538	2	1	1	NUM
ejpam-6517	538	3	)	)	PUNCT
ejpam-6517	538	4	.	.	PUNCT
ejpam-6517	539	1	nonetheless	nonetheless	ADV
ejpam-6517	539	2	,	,	PUNCT
ejpam-6517	539	3	the	the	DET
ejpam-6517	539	4	variables	variable	NOUN
ejpam-6517	539	5	that	that	PRON
ejpam-6517	539	6	have	have	VERB
ejpam-6517	539	7	a	a	DET
ejpam-6517	539	8	minor	minor	ADJ
ejpam-6517	539	9	impact	impact	NOUN
ejpam-6517	539	10	on	on	ADP
ejpam-6517	539	11	the	the	DET
ejpam-6517	539	12	fundamental	fundamental	ADJ
ejpam-6517	539	13	reproduction	reproduction	NOUN
ejpam-6517	539	14	number	number	NOUN
ejpam-6517	539	15	to	to	PART
ejpam-6517	539	16	increase	increase	VERB
ejpam-6517	539	17	are	be	AUX
ejpam-6517	539	18	c1	c1	NOUN
ejpam-6517	539	19	,	,	PUNCT
ejpam-6517	539	20	while	while	SCONJ
ejpam-6517	539	21	θ	θ	PROPN
ejpam-6517	539	22	,	,	PUNCT
ejpam-6517	539	23	d1	d1	PROPN
ejpam-6517	539	24	and	and	CCONJ
ejpam-6517	539	25	µ0	µ0	NOUN
ejpam-6517	539	26	are	be	AUX
ejpam-6517	539	27	the	the	DET
ejpam-6517	539	28	factors	factor	NOUN
ejpam-6517	539	29	which	which	PRON
ejpam-6517	539	30	show	show	VERB
ejpam-6517	539	31	decay	decay	NOUN
ejpam-6517	539	32	in	in	ADP
ejpam-6517	539	33	the	the	DET
ejpam-6517	539	34	infection	infection	NOUN
ejpam-6517	539	35	flow	flow	NOUN
ejpam-6517	539	36	.	.	PUNCT
ejpam-6517	540	1	the	the	DET
ejpam-6517	540	2	next	next	ADJ
ejpam-6517	540	3	figure	figure	NOUN
ejpam-6517	540	4	(	(	PUNCT
ejpam-6517	540	5	2	2	X
ejpam-6517	540	6	)	)	PUNCT
ejpam-6517	540	7	describes	describe	VERB
ejpam-6517	540	8	the	the	DET
ejpam-6517	540	9	r0	r0	NOUN
ejpam-6517	540	10	’s	’s	PART
ejpam-6517	540	11	3d	3d	NUM
ejpam-6517	540	12	dynamics	dynamic	NOUN
ejpam-6517	540	13	.	.	PUNCT
ejpam-6517	541	1	m.	m.	NOUN
ejpam-6517	541	2	mohiudin	mohiudin	PROPN
ejpam-6517	541	3	et	et	PROPN
ejpam-6517	541	4	al	al	PROPN
ejpam-6517	541	5	.	.	PUNCT
ejpam-6517	541	6	/	/	SYM
ejpam-6517	541	7	eur	eur	PROPN
ejpam-6517	541	8	.	.	PUNCT
ejpam-6517	542	1	j.	j.	PROPN
ejpam-6517	542	2	pure	pure	PROPN
ejpam-6517	542	3	appl	appl	PROPN
ejpam-6517	542	4	.	.	PROPN
ejpam-6517	542	5	math	math	PROPN
ejpam-6517	542	6	,	,	PUNCT
ejpam-6517	542	7	18	18	NUM
ejpam-6517	542	8	(	(	PUNCT
ejpam-6517	542	9	3	3	NUM
ejpam-6517	542	10	)	)	PUNCT
ejpam-6517	542	11	(	(	PUNCT
ejpam-6517	542	12	2025	2025	NUM
ejpam-6517	542	13	)	)	PUNCT
ejpam-6517	542	14	,	,	PUNCT
ejpam-6517	542	15	6517	6517	NUM
ejpam-6517	542	16	23	23	NUM
ejpam-6517	542	17	of	of	ADP
ejpam-6517	542	18	40	40	NUM
ejpam-6517	542	19	variables	variable	NOUN
ejpam-6517	542	20	sensitivity	sensitivity	NOUN
ejpam-6517	542	21	index	index	NOUN
ejpam-6517	542	22	g(k	g(k	NOUN
ejpam-6517	542	23	)	)	PUNCT
ejpam-6517	542	24	1	1	NUM
ejpam-6517	542	25	g(α	g(α	NOUN
ejpam-6517	542	26	)	)	PUNCT
ejpam-6517	542	27	0.6402	0.6402	NUM
ejpam-6517	542	28	g(µ0	g(µ0	NOUN
ejpam-6517	542	29	)	)	PUNCT
ejpam-6517	542	30	0.0042	0.0042	NUM
ejpam-6517	542	31	g(r1	g(r1	NOUN
ejpam-6517	542	32	)	)	PUNCT
ejpam-6517	542	33	-0.6139	-0.6139	NOUN
ejpam-6517	543	1	g(θ	g(θ	PROPN
ejpam-6517	543	2	)	)	PUNCT
ejpam-6517	543	3	-0.8866	-0.8866	NOUN
ejpam-6517	543	4	g(d1	g(d1	NOUN
ejpam-6517	543	5	)	)	PUNCT
ejpam-6517	543	6	-0.06795	-0.06795	PUNCT
ejpam-6517	544	1	g(c2	g(c2	PROPN
ejpam-6517	544	2	)	)	PUNCT
ejpam-6517	544	3	-0.5928	-0.5928	PROPN
ejpam-6517	544	4	g(c1	g(c1	PROPN
ejpam-6517	544	5	)	)	PUNCT
ejpam-6517	544	6	0.5168	0.5168	NUM
ejpam-6517	544	7	table	table	NOUN
ejpam-6517	544	8	1	1	NUM
ejpam-6517	544	9	:	:	PUNCT
ejpam-6517	544	10	the	the	DET
ejpam-6517	544	11	parameters	parameter	NOUN
ejpam-6517	544	12	and	and	CCONJ
ejpam-6517	544	13	their	their	PRON
ejpam-6517	544	14	description	description	NOUN
ejpam-6517	544	15	involved	involve	VERB
ejpam-6517	544	16	in	in	ADP
ejpam-6517	544	17	sensitivity	sensitivity	NOUN
ejpam-6517	544	18	analysis	analysis	NOUN
ejpam-6517	544	19	of	of	ADP
ejpam-6517	544	20	the	the	DET
ejpam-6517	544	21	model	model	NOUN
ejpam-6517	544	22	for	for	ADP
ejpam-6517	544	23	r0	r0	NOUN
ejpam-6517	544	24	(	(	PUNCT
ejpam-6517	544	25	1	1	NUM
ejpam-6517	544	26	)	)	PUNCT
ejpam-6517	544	27	.	.	PUNCT
ejpam-6517	545	1	7	7	X
ejpam-6517	545	2	.	.	X
ejpam-6517	545	3	numerical	numerical	ADJ
ejpam-6517	545	4	analysis	analysis	NOUN
ejpam-6517	545	5	the	the	DET
ejpam-6517	545	6	deterministic	deterministic	ADJ
ejpam-6517	545	7	system	system	NOUN
ejpam-6517	545	8	(	(	PUNCT
ejpam-6517	545	9	1	1	X
ejpam-6517	545	10	)	)	PUNCT
ejpam-6517	545	11	is	be	AUX
ejpam-6517	545	12	numerically	numerically	ADV
ejpam-6517	545	13	simulated	simulate	VERB
ejpam-6517	545	14	in	in	ADP
ejpam-6517	545	15	this	this	DET
ejpam-6517	545	16	part	part	NOUN
ejpam-6517	545	17	using	use	VERB
ejpam-6517	545	18	the	the	DET
ejpam-6517	545	19	nonstandard	nonstandard	ADJ
ejpam-6517	545	20	finite	finite	ADJ
ejpam-6517	545	21	difference	difference	NOUN
ejpam-6517	545	22	technique	technique	NOUN
ejpam-6517	545	23	(	(	PUNCT
ejpam-6517	545	24	nsfd	nsfd	NOUN
ejpam-6517	545	25	)	)	PUNCT
ejpam-6517	546	1	[	[	X
ejpam-6517	546	2	37	37	NUM
ejpam-6517	546	3	,	,	PUNCT
ejpam-6517	546	4	38	38	NUM
ejpam-6517	546	5	]	]	PUNCT
ejpam-6517	546	6	.	.	PUNCT
ejpam-6517	547	1	first	first	ADV
ejpam-6517	547	2	,	,	PUNCT
ejpam-6517	547	3	the	the	DET
ejpam-6517	547	4	model	model	NOUN
ejpam-6517	547	5	equations	equation	NOUN
ejpam-6517	547	6	are	be	AUX
ejpam-6517	547	7	expressed	express	VERB
ejpam-6517	547	8	as	as	SCONJ
ejpam-6517	547	9	follows	follow	VERB
ejpam-6517	547	10	:	:	PUNCT
ejpam-6517	547	11	as	as	ADP
ejpam-6517	547	12	an	an	DET
ejpam-6517	547	13	example	example	NOUN
ejpam-6517	547	14	,	,	PUNCT
ejpam-6517	547	15	the	the	DET
ejpam-6517	547	16	first	first	ADJ
ejpam-6517	547	17	system	system	NOUN
ejpam-6517	547	18	equation	equation	NOUN
ejpam-6517	547	19	(	(	PUNCT
ejpam-6517	547	20	1	1	NUM
ejpam-6517	547	21	)	)	PUNCT
ejpam-6517	547	22	,	,	PUNCT
ejpam-6517	547	23	ds(t	ds(t	NOUN
ejpam-6517	547	24	)	)	PUNCT
ejpam-6517	547	25	dt	dt	NOUN
ejpam-6517	548	1	=	=	NUM
ejpam-6517	548	2	b+	b+	X
ejpam-6517	548	3	c1v−	c1v−	VERB
ejpam-6517	548	4	ksi	ksi	PROPN
ejpam-6517	548	5	m	m	PROPN
ejpam-6517	548	6	−	−	PROPN
ejpam-6517	549	1	(	(	PUNCT
ejpam-6517	549	2	c2	c2	PROPN
ejpam-6517	549	3	+	+	CCONJ
ejpam-6517	549	4	µ0)s	µ0)s	ADJ
ejpam-6517	549	5	.	.	PUNCT
ejpam-6517	550	1	(	(	PUNCT
ejpam-6517	550	2	25	25	NUM
ejpam-6517	550	3	)	)	PUNCT
ejpam-6517	550	4	from	from	ADP
ejpam-6517	550	5	the	the	DET
ejpam-6517	550	6	none	none	NOUN
ejpam-6517	550	7	-	-	PUNCT
ejpam-6517	550	8	standard	standard	ADJ
ejpam-6517	550	9	finite	finite	ADJ
ejpam-6517	550	10	difference	difference	NOUN
ejpam-6517	550	11	method	method	NOUN
ejpam-6517	550	12	,	,	PUNCT
ejpam-6517	550	13	we	we	PRON
ejpam-6517	550	14	decomposed	decompose	VERB
ejpam-6517	550	15	as	as	ADP
ejpam-6517	550	16	sj+1	sj+1	PRON
ejpam-6517	550	17	−	−	NUM
ejpam-6517	550	18	sj	sj	INTJ
ejpam-6517	550	19	h	h	NOUN
ejpam-6517	550	20	=	=	PUNCT
ejpam-6517	550	21	b+	b+	X
ejpam-6517	550	22	c1vj	c1vj	ADP
ejpam-6517	550	23	−	−	PROPN
ejpam-6517	550	24	ksjij	ksjij	NOUN
ejpam-6517	550	25	m	m	VERB
ejpam-6517	550	26	−	−	PROPN
ejpam-6517	551	1	(	(	PUNCT
ejpam-6517	551	2	c2	c2	PROPN
ejpam-6517	551	3	+	+	CCONJ
ejpam-6517	551	4	µ0)sj	µ0)sj	PROPN
ejpam-6517	551	5	.	.	PUNCT
ejpam-6517	552	1	(	(	PUNCT
ejpam-6517	552	2	26	26	NUM
ejpam-6517	552	3	)	)	PUNCT
ejpam-6517	552	4	further	further	ADJ
ejpam-6517	552	5	model	model	NOUN
ejpam-6517	552	6	equations	equation	NOUN
ejpam-6517	552	7	(	(	PUNCT
ejpam-6517	552	8	1	1	X
ejpam-6517	552	9	)	)	PUNCT
ejpam-6517	552	10	have	have	AUX
ejpam-6517	552	11	been	be	AUX
ejpam-6517	552	12	scaled	scale	VERB
ejpam-6517	552	13	down	down	ADP
ejpam-6517	552	14	using	use	VERB
ejpam-6517	552	15	the	the	DET
ejpam-6517	552	16	non	non	ADJ
ejpam-6517	552	17	-	-	ADJ
ejpam-6517	552	18	standard	standard	ADJ
ejpam-6517	552	19	finite	finite	ADJ
ejpam-6517	552	20	difference	difference	NOUN
ejpam-6517	552	21	method	method	NOUN
ejpam-6517	552	22	,	,	PUNCT
ejpam-6517	552	23	similar	similar	ADJ
ejpam-6517	552	24	to	to	ADP
ejpam-6517	552	25	(	(	PUNCT
ejpam-6517	552	26	26	26	NUM
ejpam-6517	552	27	)	)	PUNCT
ejpam-6517	552	28	.	.	PUNCT
ejpam-6517	553	1	vj+1	vj+1	X
ejpam-6517	553	2	=	=	PUNCT
ejpam-6517	553	3	vj	vj	NOUN
ejpam-6517	554	1	+	+	NUM
ejpam-6517	554	2	h	h	PROPN
ejpam-6517	554	3	(	(	PUNCT
ejpam-6517	554	4	c2sj	c2sj	PROPN
ejpam-6517	554	5	−	−	NOUN
ejpam-6517	554	6	c1vj	c1vj	ADP
ejpam-6517	554	7	−	−	PROPN
ejpam-6517	554	8	µ0vj	µ0vj	PUNCT
ejpam-6517	554	9	)	)	PUNCT
ejpam-6517	554	10	,	,	PUNCT
ejpam-6517	554	11	ej+1	ej+1	PROPN
ejpam-6517	554	12	=	=	SYM
ejpam-6517	554	13	ej	ej	PROPN
ejpam-6517	555	1	+	+	NUM
ejpam-6517	555	2	h	h	PROPN
ejpam-6517	555	3	(	(	PUNCT
ejpam-6517	555	4	ksjij	ksjij	PROPN
ejpam-6517	555	5	m	m	PROPN
ejpam-6517	555	6	−	−	PROPN
ejpam-6517	555	7	αej	αej	NUM
ejpam-6517	555	8	−	−	NOUN
ejpam-6517	555	9	r1ej	r1ej	PUNCT
ejpam-6517	555	10	−	−	PROPN
ejpam-6517	555	11	µ0ej	µ0ej	PROPN
ejpam-6517	555	12	)	)	PUNCT
ejpam-6517	555	13	,	,	PUNCT
ejpam-6517	555	14	ij+1	ij+1	PRON
ejpam-6517	556	1	=	=	PUNCT
ejpam-6517	556	2	ij	ij	NOUN
ejpam-6517	557	1	+	+	NUM
ejpam-6517	557	2	h	h	PROPN
ejpam-6517	557	3	(	(	PUNCT
ejpam-6517	557	4	αej	αej	NOUN
ejpam-6517	557	5	−	−	PROPN
ejpam-6517	557	6	θ)ij	θ)ij	PROPN
ejpam-6517	557	7	−	−	PROPN
ejpam-6517	557	8	(	(	PUNCT
ejpam-6517	557	9	d1	d1	PROPN
ejpam-6517	557	10	+	+	CCONJ
ejpam-6517	557	11	µ0)ij	µ0)ij	NOUN
ejpam-6517	557	12	)	)	PUNCT
ejpam-6517	557	13	,	,	PUNCT
ejpam-6517	558	1	tj+1	tj+1	NOUN
ejpam-6517	558	2	=	=	SYM
ejpam-6517	558	3	tj	tj	NOUN
ejpam-6517	558	4	+	+	NOUN
ejpam-6517	558	5	h	h	NOUN
ejpam-6517	558	6	(	(	PUNCT
ejpam-6517	558	7	θij	θij	PROPN
ejpam-6517	558	8	−	−	PROPN
ejpam-6517	558	9	r2tj	r2tj	PUNCT
ejpam-6517	558	10	−	−	PROPN
ejpam-6517	558	11	(	(	PUNCT
ejpam-6517	558	12	d2	d2	PROPN
ejpam-6517	558	13	+	+	CCONJ
ejpam-6517	558	14	µ0)tj	µ0)tj	NOUN
ejpam-6517	558	15	)	)	PUNCT
ejpam-6517	558	16	,	,	PUNCT
ejpam-6517	558	17	rj+1	rj+1	X
ejpam-6517	558	18	=	=	SYM
ejpam-6517	558	19	rj	rj	PROPN
ejpam-6517	558	20	+	+	NUM
ejpam-6517	558	21	h	h	PROPN
ejpam-6517	558	22	(	(	PUNCT
ejpam-6517	558	23	r2tj	r2tj	X
ejpam-6517	558	24	+	+	CCONJ
ejpam-6517	558	25	r1ej	r1ej	PUNCT
ejpam-6517	558	26	−	−	NOUN
ejpam-6517	558	27	µ0rj	µ0rj	PUNCT
ejpam-6517	558	28	)	)	PUNCT
ejpam-6517	558	29	.	.	PUNCT
ejpam-6517	559	1	we	we	PRON
ejpam-6517	559	2	evaluate	evaluate	VERB
ejpam-6517	559	3	the	the	DET
ejpam-6517	559	4	system	system	NOUN
ejpam-6517	559	5	(	(	PUNCT
ejpam-6517	559	6	1	1	X
ejpam-6517	559	7	)	)	PUNCT
ejpam-6517	559	8	using	use	VERB
ejpam-6517	559	9	the	the	DET
ejpam-6517	559	10	nsfd	nsfd	ADJ
ejpam-6517	559	11	technique	technique	NOUN
ejpam-6517	559	12	and	and	CCONJ
ejpam-6517	559	13	the	the	DET
ejpam-6517	559	14	numerical	numerical	ADJ
ejpam-6517	559	15	values	value	NOUN
ejpam-6517	559	16	from	from	ADP
ejpam-6517	559	17	[	[	PUNCT
ejpam-6517	559	18	[	[	X
ejpam-6517	559	19	37	37	NUM
ejpam-6517	559	20	]	]	X
ejpam-6517	559	21	]	]	PUNCT
ejpam-6517	559	22	that	that	PRON
ejpam-6517	559	23	are	be	AUX
ejpam-6517	559	24	listed	list	VERB
ejpam-6517	559	25	in	in	ADP
ejpam-6517	559	26	2	2	NUM
ejpam-6517	559	27	.	.	PUNCT
ejpam-6517	559	28	m.	m.	NOUN
ejpam-6517	559	29	mohiudin	mohiudin	PROPN
ejpam-6517	559	30	et	et	PROPN
ejpam-6517	559	31	al	al	PROPN
ejpam-6517	559	32	.	.	PUNCT
ejpam-6517	559	33	/	/	SYM
ejpam-6517	559	34	eur	eur	PROPN
ejpam-6517	559	35	.	.	PUNCT
ejpam-6517	560	1	j.	j.	PROPN
ejpam-6517	560	2	pure	pure	PROPN
ejpam-6517	560	3	appl	appl	PROPN
ejpam-6517	560	4	.	.	PROPN
ejpam-6517	560	5	math	math	PROPN
ejpam-6517	560	6	,	,	PUNCT
ejpam-6517	560	7	18	18	NUM
ejpam-6517	560	8	(	(	PUNCT
ejpam-6517	560	9	3	3	NUM
ejpam-6517	560	10	)	)	PUNCT
ejpam-6517	560	11	(	(	PUNCT
ejpam-6517	560	12	2025	2025	NUM
ejpam-6517	560	13	)	)	PUNCT
ejpam-6517	560	14	,	,	PUNCT
ejpam-6517	560	15	6517	6517	NUM
ejpam-6517	560	16	24	24	NUM
ejpam-6517	560	17	of	of	ADP
ejpam-6517	560	18	40	40	NUM
ejpam-6517	560	19	k	k	PROPN
ejpam-6517	560	20	al	al	PROPN
ejpam-6517	560	21	ph	ph	PROPN
ejpam-6517	560	22	a	a	DET
ejpam-6517	560	23	c1	c1	PROPN
ejpam-6517	560	24	c2	c2	PROPN
ejpam-6517	560	25	m	m	PROPN
ejpam-6517	560	26	u0	u0	PROPN
ejpam-6517	560	27	r1	r1	PROPN
ejpam-6517	560	28	th	th	X
ejpam-6517	560	29	et	et	NOUN
ejpam-6517	560	30	a	a	DET
ejpam-6517	560	31	d1	d1	PROPN
ejpam-6517	560	32	s	s	PROPN
ejpam-6517	560	33	e	e	NOUN
ejpam-6517	560	34	n	n	X
ejpam-6517	560	35	s	s	PRON
ejpam-6517	560	36	it	it	PRON
ejpam-6517	560	37	iv	iv	VERB
ejpam-6517	560	38	it	it	PRON
ejpam-6517	561	1	y	y	INTJ
ejpam-6517	562	1	i	i	PRON
ejpam-6517	562	2	n	n	VERB
ejpam-6517	562	3	d	d	X
ejpam-6517	562	4	e	e	X
ejpam-6517	562	5	x	x	PROPN
ejpam-6517	562	6	-1	-1	PROPN
ejpam-6517	562	7	-0.8	-0.8	PROPN
ejpam-6517	562	8	-0.6	-0.6	PROPN
ejpam-6517	562	9	-0.4	-0.4	X
ejpam-6517	562	10	-0.2	-0.2	PROPN
ejpam-6517	562	11	0	0	NUM
ejpam-6517	562	12	0.2	0.2	NUM
ejpam-6517	562	13	0.4	0.4	NUM
ejpam-6517	562	14	0.6	0.6	NUM
ejpam-6517	562	15	0.8	0.8	NUM
ejpam-6517	562	16	1	1	NUM
ejpam-6517	562	17	sensitivity	sensitivity	NOUN
ejpam-6517	562	18	of	of	ADP
ejpam-6517	562	19	r	r	NOUN
ejpam-6517	562	20	0	0	NUM
ejpam-6517	562	21	to	to	PART
ejpam-6517	562	22	model	model	NOUN
ejpam-6517	562	23	parameters	parameter	NOUN
ejpam-6517	562	24	figure	figure	VERB
ejpam-6517	562	25	1	1	NUM
ejpam-6517	562	26	:	:	PUNCT
ejpam-6517	562	27	sensitivity	sensitivity	NOUN
ejpam-6517	562	28	index	index	NOUN
ejpam-6517	562	29	.	.	PUNCT
ejpam-6517	563	1	time	time	PROPN
ejpam-6517	563	2	t	t	PROPN
ejpam-6517	563	3	(	(	PUNCT
ejpam-6517	563	4	days	day	NOUN
ejpam-6517	563	5	)	)	PUNCT
ejpam-6517	563	6	0	0	NUM
ejpam-6517	564	1	10	10	NUM
ejpam-6517	564	2	20	20	NUM
ejpam-6517	564	3	30	30	NUM
ejpam-6517	564	4	40	40	NUM
ejpam-6517	564	5	50	50	NUM
ejpam-6517	564	6	60	60	NUM
ejpam-6517	564	7	s	s	NOUN
ejpam-6517	564	8	u	u	NOUN
ejpam-6517	564	9	s	s	PRON
ejpam-6517	564	10	c	c	NOUN
ejpam-6517	564	11	e	e	NOUN
ejpam-6517	564	12	p	p	X
ejpam-6517	564	13	ti	ti	PROPN
ejpam-6517	564	14	b	b	X
ejpam-6517	564	15	le	le	X
ejpam-6517	564	16	c	c	X
ejpam-6517	564	17	la	la	PROPN
ejpam-6517	564	18	s	s	PROPN
ejpam-6517	564	19	s	s	NOUN
ejpam-6517	564	20	×107	×107	NOUN
ejpam-6517	564	21	0	0	NUM
ejpam-6517	564	22	0.5	0.5	NUM
ejpam-6517	564	23	1	1	NUM
ejpam-6517	564	24	1.5	1.5	NUM
ejpam-6517	564	25	2	2	NUM
ejpam-6517	564	26	2.5	2.5	NUM
ejpam-6517	564	27	3	3	NUM
ejpam-6517	564	28	3.5	3.5	NUM
ejpam-6517	564	29	phi	phi	NOUN
ejpam-6517	564	30	=	=	NOUN
ejpam-6517	564	31	0.7	0.7	NUM
ejpam-6517	564	32	phi	phi	NOUN
ejpam-6517	564	33	=	=	SYM
ejpam-6517	564	34	0.8	0.8	NUM
ejpam-6517	564	35	phi	phi	NOUN
ejpam-6517	564	36	=	=	SYM
ejpam-6517	564	37	0.9	0.9	NUM
ejpam-6517	564	38	phi	phi	NOUN
ejpam-6517	564	39	=	=	SYM
ejpam-6517	564	40	1.0	1.0	NUM
ejpam-6517	564	41	figure	figure	NOUN
ejpam-6517	564	42	3	3	NUM
ejpam-6517	564	43	:	:	PUNCT
ejpam-6517	564	44	nsfd	nsfd	ADJ
ejpam-6517	564	45	-	-	PUNCT
ejpam-6517	564	46	based	base	VERB
ejpam-6517	564	47	graph	graph	NOUN
ejpam-6517	564	48	of	of	ADP
ejpam-6517	564	49	computations	computation	NOUN
ejpam-6517	564	50	for	for	ADP
ejpam-6517	564	51	the	the	DET
ejpam-6517	564	52	deterministic	deterministic	ADJ
ejpam-6517	564	53	model	model	NOUN
ejpam-6517	564	54	(	(	PUNCT
ejpam-6517	564	55	1	1	NUM
ejpam-6517	564	56	)	)	PUNCT
ejpam-6517	564	57	susceptible	susceptible	ADJ
ejpam-6517	564	58	compartment	compartment	NOUN
ejpam-6517	564	59	.	.	PUNCT
ejpam-6517	565	1	variables	variable	NOUN
ejpam-6517	565	2	the	the	DET
ejpam-6517	565	3	physical	physical	ADJ
ejpam-6517	565	4	representation	representation	NOUN
ejpam-6517	565	5	values	value	NOUN
ejpam-6517	565	6	b	b	X
ejpam-6517	565	7	the	the	DET
ejpam-6517	565	8	rate	rate	NOUN
ejpam-6517	565	9	at	at	ADP
ejpam-6517	565	10	which	which	PRON
ejpam-6517	565	11	new	new	ADJ
ejpam-6517	565	12	population	population	NOUN
ejpam-6517	565	13	entered	enter	VERB
ejpam-6517	565	14	susceptible	susceptible	ADJ
ejpam-6517	565	15	0.0784	0.0784	NUM
ejpam-6517	565	16	k	k	ADP
ejpam-6517	565	17	infectious	infectious	ADJ
ejpam-6517	565	18	rate	rate	NOUN
ejpam-6517	565	19	0.9091	0.9091	NUM
ejpam-6517	565	20	c2	c2	PROPN
ejpam-6517	565	21	the	the	DET
ejpam-6517	565	22	rate	rate	NOUN
ejpam-6517	565	23	of	of	ADP
ejpam-6517	565	24	vaccinated	vaccinated	ADJ
ejpam-6517	565	25	population	population	NOUN
ejpam-6517	565	26	entered	enter	VERB
ejpam-6517	565	27	from	from	ADP
ejpam-6517	565	28	i	i	PRON
ejpam-6517	565	29	to	to	ADP
ejpam-6517	565	30	v	v	NUM
ejpam-6517	565	31	0.6	0.6	NUM
ejpam-6517	565	32	c1	c1	PROPN
ejpam-6517	565	33	the	the	DET
ejpam-6517	565	34	rate	rate	NOUN
ejpam-6517	565	35	of	of	ADP
ejpam-6517	565	36	transmission	transmission	NOUN
ejpam-6517	565	37	of	of	ADP
ejpam-6517	565	38	exposed	expose	VERB
ejpam-6517	565	39	population	population	NOUN
ejpam-6517	565	40	entered	enter	VERB
ejpam-6517	565	41	from	from	ADP
ejpam-6517	565	42	e	e	PROPN
ejpam-6517	565	43	to	to	ADP
ejpam-6517	565	44	i	i	PROPN
ejpam-6517	565	45	0.167	0.167	NUM
ejpam-6517	565	46	α	α	NUM
ejpam-6517	565	47	the	the	DET
ejpam-6517	565	48	rate	rate	NOUN
ejpam-6517	565	49	of	of	ADP
ejpam-6517	565	50	transmission	transmission	NOUN
ejpam-6517	565	51	of	of	ADP
ejpam-6517	565	52	exposed	expose	VERB
ejpam-6517	565	53	population	population	NOUN
ejpam-6517	565	54	entered	enter	VERB
ejpam-6517	565	55	from	from	ADP
ejpam-6517	565	56	e	e	PROPN
ejpam-6517	565	57	to	to	ADP
ejpam-6517	565	58	i	i	PRON
ejpam-6517	565	59	0.14286	0.14286	NUM
ejpam-6517	565	60	θ	θ	NOUN
ejpam-6517	565	61	the	the	DET
ejpam-6517	565	62	rate	rate	NOUN
ejpam-6517	565	63	of	of	ADP
ejpam-6517	565	64	transmission	transmission	NOUN
ejpam-6517	565	65	of	of	ADP
ejpam-6517	565	66	infected	infected	ADJ
ejpam-6517	565	67	population	population	NOUN
ejpam-6517	565	68	entered	enter	VERB
ejpam-6517	565	69	from	from	ADP
ejpam-6517	565	70	i	i	PRON
ejpam-6517	565	71	to	to	ADP
ejpam-6517	565	72	t	t	PROPN
ejpam-6517	565	73	0.03	0.03	NUM
ejpam-6517	565	74	r2	r2	NOUN
ejpam-6517	565	75	the	the	DET
ejpam-6517	565	76	rate	rate	NOUN
ejpam-6517	565	77	of	of	ADP
ejpam-6517	565	78	transmission	transmission	NOUN
ejpam-6517	565	79	of	of	ADP
ejpam-6517	565	80	treatments	treatment	NOUN
ejpam-6517	565	81	population	population	NOUN
ejpam-6517	565	82	entered	enter	VERB
ejpam-6517	565	83	from	from	ADP
ejpam-6517	565	84	t	t	PROPN
ejpam-6517	565	85	to	to	ADP
ejpam-6517	565	86	r	r	NOUN
ejpam-6517	565	87	0.125	0.125	NUM
ejpam-6517	565	88	r1	r1	NOUN
ejpam-6517	565	89	the	the	DET
ejpam-6517	565	90	rate	rate	NOUN
ejpam-6517	565	91	of	of	ADP
ejpam-6517	565	92	transmission	transmission	NOUN
ejpam-6517	565	93	of	of	ADP
ejpam-6517	565	94	self	self	NOUN
ejpam-6517	565	95	recovered	recover	VERB
ejpam-6517	565	96	population	population	NOUN
ejpam-6517	565	97	entered	enter	VERB
ejpam-6517	565	98	from	from	ADP
ejpam-6517	565	99	e	e	NOUN
ejpam-6517	565	100	to	to	ADP
ejpam-6517	565	101	r	r	NOUN
ejpam-6517	565	102	0.3425	0.3425	NUM
ejpam-6517	565	103	d1	d1	NOUN
ejpam-6517	565	104	infectious	infectious	ADJ
ejpam-6517	565	105	death	death	NOUN
ejpam-6517	565	106	rate	rate	NOUN
ejpam-6517	565	107	in	in	ADP
ejpam-6517	565	108	i	i	PROPN
ejpam-6517	566	1	0.02202	0.02202	NUM
ejpam-6517	566	2	d2	d2	NOUN
ejpam-6517	566	3	disease	disease	NOUN
ejpam-6517	566	4	-	-	PUNCT
ejpam-6517	566	5	related	relate	VERB
ejpam-6517	566	6	death	death	NOUN
ejpam-6517	566	7	rate	rate	NOUN
ejpam-6517	566	8	in	in	ADP
ejpam-6517	566	9	t	t	PROPN
ejpam-6517	566	10	0.0550	0.0550	NUM
ejpam-6517	566	11	µ0	µ0	NOUN
ejpam-6517	566	12	natural	natural	ADJ
ejpam-6517	566	13	death	death	NOUN
ejpam-6517	566	14	rate	rate	NOUN
ejpam-6517	566	15	0.0545	0.0545	NUM
ejpam-6517	566	16	table	table	NOUN
ejpam-6517	566	17	2	2	NUM
ejpam-6517	566	18	:	:	PUNCT
ejpam-6517	566	19	the	the	DET
ejpam-6517	566	20	parameters	parameter	NOUN
ejpam-6517	566	21	and	and	CCONJ
ejpam-6517	566	22	their	their	PRON
ejpam-6517	566	23	description	description	NOUN
ejpam-6517	566	24	involved	involve	VERB
ejpam-6517	566	25	in	in	ADP
ejpam-6517	566	26	the	the	DET
ejpam-6517	566	27	model	model	NOUN
ejpam-6517	566	28	(	(	PUNCT
ejpam-6517	566	29	1	1	NUM
ejpam-6517	566	30	)	)	PUNCT
ejpam-6517	566	31	.	.	PUNCT
ejpam-6517	567	1	m.	m.	NOUN
ejpam-6517	567	2	mohiudin	mohiudin	PROPN
ejpam-6517	567	3	et	et	PROPN
ejpam-6517	567	4	al	al	PROPN
ejpam-6517	567	5	.	.	PUNCT
ejpam-6517	567	6	/	/	SYM
ejpam-6517	567	7	eur	eur	PROPN
ejpam-6517	567	8	.	.	PUNCT
ejpam-6517	568	1	j.	j.	PROPN
ejpam-6517	568	2	pure	pure	PROPN
ejpam-6517	568	3	appl	appl	PROPN
ejpam-6517	568	4	.	.	PROPN
ejpam-6517	568	5	math	math	PROPN
ejpam-6517	568	6	,	,	PUNCT
ejpam-6517	568	7	18	18	NUM
ejpam-6517	568	8	(	(	PUNCT
ejpam-6517	568	9	3	3	NUM
ejpam-6517	568	10	)	)	PUNCT
ejpam-6517	568	11	(	(	PUNCT
ejpam-6517	568	12	2025	2025	NUM
ejpam-6517	568	13	)	)	PUNCT
ejpam-6517	568	14	,	,	PUNCT
ejpam-6517	568	15	6517	6517	NUM
ejpam-6517	568	16	25	25	NUM
ejpam-6517	568	17	of	of	ADP
ejpam-6517	568	18	40	40	NUM
ejpam-6517	568	19	figure	figure	NOUN
ejpam-6517	568	20	2	2	NUM
ejpam-6517	568	21	:	:	PUNCT
ejpam-6517	568	22	3d	3d	NUM
ejpam-6517	568	23	dynamics	dynamic	NOUN
ejpam-6517	568	24	of	of	ADP
ejpam-6517	568	25	r0	r0	NOUN
ejpam-6517	568	26	of	of	ADP
ejpam-6517	568	27	covid-19n	covid-19n	PROPN
ejpam-6517	568	28	two	two	NUM
ejpam-6517	568	29	strains	strain	NOUN
ejpam-6517	568	30	with	with	ADP
ejpam-6517	568	31	sensitive	sensitive	ADJ
ejpam-6517	568	32	parameters	parameter	NOUN
ejpam-6517	568	33	.	.	PUNCT
ejpam-6517	569	1	time	time	NOUN
ejpam-6517	569	2	t	t	PROPN
ejpam-6517	569	3	(	(	PUNCT
ejpam-6517	569	4	days	day	NOUN
ejpam-6517	569	5	)	)	PUNCT
ejpam-6517	569	6	0	0	NUM
ejpam-6517	570	1	10	10	NUM
ejpam-6517	570	2	20	20	NUM
ejpam-6517	570	3	30	30	NUM
ejpam-6517	570	4	40	40	NUM
ejpam-6517	570	5	50	50	NUM
ejpam-6517	570	6	60	60	NUM
ejpam-6517	570	7	v	v	NOUN
ejpam-6517	570	8	a	a	DET
ejpam-6517	570	9	c	c	NOUN
ejpam-6517	570	10	c	c	NOUN
ejpam-6517	570	11	in	in	ADP
ejpam-6517	570	12	a	a	DET
ejpam-6517	570	13	ti	ti	NOUN
ejpam-6517	570	14	o	o	NOUN
ejpam-6517	570	15	n	n	ADP
ejpam-6517	570	16	c	c	X
ejpam-6517	570	17	la	la	NOUN
ejpam-6517	570	18	s	s	NOUN
ejpam-6517	570	19	s	s	NOUN
ejpam-6517	570	20	×107	×107	NOUN
ejpam-6517	570	21	0	0	NUM
ejpam-6517	570	22	0.2	0.2	NUM
ejpam-6517	570	23	0.4	0.4	NUM
ejpam-6517	570	24	0.6	0.6	NUM
ejpam-6517	570	25	0.8	0.8	NUM
ejpam-6517	570	26	1	1	NUM
ejpam-6517	570	27	1.2	1.2	NUM
ejpam-6517	570	28	1.4	1.4	NUM
ejpam-6517	570	29	1.6	1.6	NUM
ejpam-6517	570	30	1.8	1.8	NUM
ejpam-6517	570	31	2	2	NUM
ejpam-6517	570	32	phi	phi	NOUN
ejpam-6517	570	33	=	=	NOUN
ejpam-6517	570	34	0.7	0.7	NUM
ejpam-6517	570	35	phi	phi	NOUN
ejpam-6517	570	36	=	=	SYM
ejpam-6517	570	37	0.8	0.8	NUM
ejpam-6517	570	38	phi	phi	NOUN
ejpam-6517	570	39	=	=	SYM
ejpam-6517	570	40	0.9	0.9	NUM
ejpam-6517	570	41	phi	phi	NOUN
ejpam-6517	570	42	=	=	SYM
ejpam-6517	570	43	1.0	1.0	NUM
ejpam-6517	570	44	figure	figure	NOUN
ejpam-6517	570	45	4	4	NUM
ejpam-6517	570	46	:	:	PUNCT
ejpam-6517	570	47	nsfd	nsfd	ADJ
ejpam-6517	570	48	-	-	PUNCT
ejpam-6517	570	49	based	base	VERB
ejpam-6517	570	50	graph	graph	NOUN
ejpam-6517	570	51	of	of	ADP
ejpam-6517	570	52	computations	computation	NOUN
ejpam-6517	570	53	for	for	ADP
ejpam-6517	570	54	the	the	DET
ejpam-6517	570	55	deterministic	deterministic	ADJ
ejpam-6517	570	56	model	model	NOUN
ejpam-6517	570	57	(	(	PUNCT
ejpam-6517	570	58	1	1	NUM
ejpam-6517	570	59	)	)	PUNCT
ejpam-6517	570	60	vaccination	vaccination	NOUN
ejpam-6517	570	61	compartment	compartment	NOUN
ejpam-6517	570	62	.	.	PUNCT
ejpam-6517	571	1	m.	m.	NOUN
ejpam-6517	571	2	mohiudin	mohiudin	PROPN
ejpam-6517	571	3	et	et	PROPN
ejpam-6517	571	4	al	al	PROPN
ejpam-6517	571	5	.	.	PUNCT
ejpam-6517	571	6	/	/	SYM
ejpam-6517	571	7	eur	eur	PROPN
ejpam-6517	571	8	.	.	PUNCT
ejpam-6517	572	1	j.	j.	PROPN
ejpam-6517	572	2	pure	pure	PROPN
ejpam-6517	572	3	appl	appl	PROPN
ejpam-6517	572	4	.	.	PROPN
ejpam-6517	572	5	math	math	PROPN
ejpam-6517	572	6	,	,	PUNCT
ejpam-6517	572	7	18	18	NUM
ejpam-6517	572	8	(	(	PUNCT
ejpam-6517	572	9	3	3	NUM
ejpam-6517	572	10	)	)	PUNCT
ejpam-6517	572	11	(	(	PUNCT
ejpam-6517	572	12	2025	2025	NUM
ejpam-6517	572	13	)	)	PUNCT
ejpam-6517	572	14	,	,	PUNCT
ejpam-6517	572	15	6517	6517	NUM
ejpam-6517	572	16	26	26	NUM
ejpam-6517	572	17	of	of	ADP
ejpam-6517	572	18	40	40	NUM
ejpam-6517	572	19	time	time	NOUN
ejpam-6517	572	20	t	t	PROPN
ejpam-6517	572	21	(	(	PUNCT
ejpam-6517	572	22	days	day	NOUN
ejpam-6517	572	23	)	)	PUNCT
ejpam-6517	572	24	0	0	NUM
ejpam-6517	573	1	10	10	NUM
ejpam-6517	573	2	20	20	NUM
ejpam-6517	573	3	30	30	NUM
ejpam-6517	573	4	40	40	NUM
ejpam-6517	573	5	50	50	NUM
ejpam-6517	573	6	60	60	NUM
ejpam-6517	573	7	e	e	NOUN
ejpam-6517	573	8	x	x	X
ejpam-6517	573	9	p	p	NOUN
ejpam-6517	573	10	o	o	X
ejpam-6517	573	11	s	s	X
ejpam-6517	573	12	e	e	X
ejpam-6517	573	13	d	d	X
ejpam-6517	573	14	c	c	X
ejpam-6517	573	15	la	la	PROPN
ejpam-6517	573	16	s	s	PROPN
ejpam-6517	573	17	s	s	NOUN
ejpam-6517	573	18	0	0	NUM
ejpam-6517	573	19	1000	1000	NUM
ejpam-6517	573	20	2000	2000	NUM
ejpam-6517	573	21	3000	3000	NUM
ejpam-6517	573	22	4000	4000	NUM
ejpam-6517	573	23	5000	5000	NUM
ejpam-6517	573	24	6000	6000	NUM
ejpam-6517	573	25	7000	7000	NUM
ejpam-6517	573	26	8000	8000	NUM
ejpam-6517	573	27	9000	9000	NUM
ejpam-6517	573	28	10000	10000	NUM
ejpam-6517	573	29	phi	phi	NOUN
ejpam-6517	573	30	=	=	NOUN
ejpam-6517	573	31	0.7	0.7	NUM
ejpam-6517	573	32	phi	phi	NOUN
ejpam-6517	573	33	=	=	SYM
ejpam-6517	573	34	0.8	0.8	NUM
ejpam-6517	573	35	phi	phi	NOUN
ejpam-6517	573	36	=	=	SYM
ejpam-6517	573	37	0.9	0.9	NUM
ejpam-6517	573	38	phi	phi	NOUN
ejpam-6517	573	39	=	=	SYM
ejpam-6517	573	40	1.0	1.0	NUM
ejpam-6517	573	41	figure	figure	NOUN
ejpam-6517	573	42	5	5	NUM
ejpam-6517	573	43	:	:	PUNCT
ejpam-6517	573	44	nsfd	nsfd	ADJ
ejpam-6517	573	45	-	-	PUNCT
ejpam-6517	573	46	based	base	VERB
ejpam-6517	573	47	graph	graph	NOUN
ejpam-6517	573	48	of	of	ADP
ejpam-6517	573	49	computations	computation	NOUN
ejpam-6517	573	50	for	for	ADP
ejpam-6517	573	51	the	the	DET
ejpam-6517	573	52	deterministic	deterministic	ADJ
ejpam-6517	573	53	model	model	NOUN
ejpam-6517	573	54	(	(	PUNCT
ejpam-6517	573	55	1	1	NUM
ejpam-6517	573	56	)	)	PUNCT
ejpam-6517	573	57	exposed	expose	VERB
ejpam-6517	573	58	compartment	compartment	NOUN
ejpam-6517	573	59	.	.	PUNCT
ejpam-6517	574	1	time	time	NOUN
ejpam-6517	574	2	t	t	PROPN
ejpam-6517	574	3	(	(	PUNCT
ejpam-6517	574	4	days	day	NOUN
ejpam-6517	574	5	)	)	PUNCT
ejpam-6517	574	6	0	0	NUM
ejpam-6517	575	1	10	10	NUM
ejpam-6517	575	2	20	20	NUM
ejpam-6517	575	3	30	30	NUM
ejpam-6517	575	4	40	40	NUM
ejpam-6517	575	5	50	50	NUM
ejpam-6517	575	6	60	60	NUM
ejpam-6517	575	7	in	in	ADP
ejpam-6517	575	8	fe	fe	X
ejpam-6517	576	1	c	c	X
ejpam-6517	576	2	te	te	PROPN
ejpam-6517	576	3	d	d	X
ejpam-6517	576	4	c	c	X
ejpam-6517	576	5	la	la	PROPN
ejpam-6517	576	6	s	s	PROPN
ejpam-6517	576	7	s	s	NOUN
ejpam-6517	576	8	0	0	NUM
ejpam-6517	576	9	1000	1000	NUM
ejpam-6517	576	10	2000	2000	NUM
ejpam-6517	576	11	3000	3000	NUM
ejpam-6517	576	12	4000	4000	NUM
ejpam-6517	576	13	5000	5000	NUM
ejpam-6517	576	14	6000	6000	NUM
ejpam-6517	576	15	7000	7000	NUM
ejpam-6517	576	16	8000	8000	NUM
ejpam-6517	576	17	9000	9000	NUM
ejpam-6517	576	18	phi	phi	NOUN
ejpam-6517	576	19	=	=	SYM
ejpam-6517	576	20	0.7	0.7	NUM
ejpam-6517	576	21	phi	phi	NOUN
ejpam-6517	576	22	=	=	SYM
ejpam-6517	576	23	0.8	0.8	NUM
ejpam-6517	576	24	phi	phi	NOUN
ejpam-6517	576	25	=	=	SYM
ejpam-6517	576	26	0.9	0.9	NUM
ejpam-6517	576	27	phi	phi	NOUN
ejpam-6517	576	28	=	=	SYM
ejpam-6517	576	29	1.0	1.0	NUM
ejpam-6517	576	30	figure	figure	NOUN
ejpam-6517	576	31	6	6	NUM
ejpam-6517	576	32	:	:	PUNCT
ejpam-6517	576	33	nsfd	nsfd	ADJ
ejpam-6517	576	34	-	-	PUNCT
ejpam-6517	576	35	based	base	VERB
ejpam-6517	576	36	graph	graph	NOUN
ejpam-6517	576	37	of	of	ADP
ejpam-6517	576	38	computations	computation	NOUN
ejpam-6517	576	39	for	for	ADP
ejpam-6517	576	40	the	the	DET
ejpam-6517	576	41	deterministic	deterministic	ADJ
ejpam-6517	576	42	model	model	NOUN
ejpam-6517	576	43	(	(	PUNCT
ejpam-6517	576	44	1	1	X
ejpam-6517	576	45	)	)	PUNCT
ejpam-6517	576	46	infected	infected	ADJ
ejpam-6517	576	47	compartment	compartment	NOUN
ejpam-6517	576	48	.	.	PUNCT
ejpam-6517	577	1	m.	m.	NOUN
ejpam-6517	577	2	mohiudin	mohiudin	PROPN
ejpam-6517	577	3	et	et	PROPN
ejpam-6517	577	4	al	al	PROPN
ejpam-6517	577	5	.	.	PUNCT
ejpam-6517	577	6	/	/	SYM
ejpam-6517	577	7	eur	eur	PROPN
ejpam-6517	577	8	.	.	PUNCT
ejpam-6517	578	1	j.	j.	PROPN
ejpam-6517	578	2	pure	pure	PROPN
ejpam-6517	578	3	appl	appl	PROPN
ejpam-6517	578	4	.	.	PROPN
ejpam-6517	578	5	math	math	PROPN
ejpam-6517	578	6	,	,	PUNCT
ejpam-6517	578	7	18	18	NUM
ejpam-6517	578	8	(	(	PUNCT
ejpam-6517	578	9	3	3	NUM
ejpam-6517	578	10	)	)	PUNCT
ejpam-6517	578	11	(	(	PUNCT
ejpam-6517	578	12	2025	2025	NUM
ejpam-6517	578	13	)	)	PUNCT
ejpam-6517	578	14	,	,	PUNCT
ejpam-6517	578	15	6517	6517	NUM
ejpam-6517	578	16	27	27	NUM
ejpam-6517	578	17	of	of	ADP
ejpam-6517	578	18	40	40	NUM
ejpam-6517	578	19	time	time	NOUN
ejpam-6517	578	20	t	t	PROPN
ejpam-6517	578	21	(	(	PUNCT
ejpam-6517	578	22	days	day	NOUN
ejpam-6517	578	23	)	)	PUNCT
ejpam-6517	578	24	0	0	NUM
ejpam-6517	578	25	10	10	NUM
ejpam-6517	578	26	20	20	NUM
ejpam-6517	578	27	30	30	NUM
ejpam-6517	578	28	40	40	NUM
ejpam-6517	578	29	50	50	NUM
ejpam-6517	578	30	60	60	NUM
ejpam-6517	578	31	t	t	NOUN
ejpam-6517	578	32	re	re	VERB
ejpam-6517	578	33	a	a	DET
ejpam-6517	578	34	tm	tm	NOUN
ejpam-6517	578	35	e	e	PROPN
ejpam-6517	578	36	n	n	NOUN
ejpam-6517	578	37	t	t	PROPN
ejpam-6517	578	38	c	c	X
ejpam-6517	578	39	la	la	PROPN
ejpam-6517	578	40	s	s	PROPN
ejpam-6517	578	41	s	s	NOUN
ejpam-6517	578	42	0	0	NUM
ejpam-6517	578	43	100	100	NUM
ejpam-6517	578	44	200	200	NUM
ejpam-6517	578	45	300	300	NUM
ejpam-6517	578	46	400	400	NUM
ejpam-6517	578	47	500	500	NUM
ejpam-6517	578	48	600	600	NUM
ejpam-6517	578	49	700	700	NUM
ejpam-6517	578	50	800	800	NUM
ejpam-6517	578	51	900	900	NUM
ejpam-6517	578	52	1000	1000	NUM
ejpam-6517	578	53	phi	phi	NOUN
ejpam-6517	578	54	=	=	NOUN
ejpam-6517	578	55	0.7	0.7	NUM
ejpam-6517	578	56	phi	phi	NOUN
ejpam-6517	578	57	=	=	SYM
ejpam-6517	578	58	0.8	0.8	NUM
ejpam-6517	578	59	phi	phi	NOUN
ejpam-6517	578	60	=	=	SYM
ejpam-6517	578	61	0.9	0.9	NUM
ejpam-6517	578	62	phi	phi	NOUN
ejpam-6517	578	63	=	=	SYM
ejpam-6517	578	64	1.0	1.0	NUM
ejpam-6517	578	65	figure	figure	NOUN
ejpam-6517	578	66	7	7	NUM
ejpam-6517	578	67	:	:	PUNCT
ejpam-6517	578	68	nsfd	nsfd	ADJ
ejpam-6517	578	69	-	-	PUNCT
ejpam-6517	578	70	based	base	VERB
ejpam-6517	578	71	graph	graph	NOUN
ejpam-6517	578	72	of	of	ADP
ejpam-6517	578	73	computations	computation	NOUN
ejpam-6517	578	74	for	for	ADP
ejpam-6517	578	75	the	the	DET
ejpam-6517	578	76	deterministic	deterministic	ADJ
ejpam-6517	578	77	model	model	NOUN
ejpam-6517	578	78	(	(	PUNCT
ejpam-6517	578	79	1	1	NUM
ejpam-6517	578	80	)	)	PUNCT
ejpam-6517	578	81	treatment	treatment	NOUN
ejpam-6517	578	82	compartment	compartment	NOUN
ejpam-6517	578	83	.	.	PUNCT
ejpam-6517	579	1	time	time	NOUN
ejpam-6517	579	2	t	t	PROPN
ejpam-6517	579	3	(	(	PUNCT
ejpam-6517	579	4	days	day	NOUN
ejpam-6517	579	5	)	)	PUNCT
ejpam-6517	579	6	0	0	NUM
ejpam-6517	580	1	10	10	NUM
ejpam-6517	580	2	20	20	NUM
ejpam-6517	580	3	30	30	NUM
ejpam-6517	580	4	40	40	NUM
ejpam-6517	580	5	50	50	NUM
ejpam-6517	580	6	60	60	NUM
ejpam-6517	580	7	r	r	NOUN
ejpam-6517	580	8	e	e	NOUN
ejpam-6517	580	9	c	c	NOUN
ejpam-6517	580	10	o	o	X
ejpam-6517	580	11	v	v	X
ejpam-6517	580	12	e	e	X
ejpam-6517	580	13	re	re	NOUN
ejpam-6517	580	14	d	d	PROPN
ejpam-6517	580	15	c	c	X
ejpam-6517	580	16	la	la	PROPN
ejpam-6517	580	17	s	s	PROPN
ejpam-6517	580	18	s	s	NOUN
ejpam-6517	580	19	0	0	NUM
ejpam-6517	580	20	2000	2000	NUM
ejpam-6517	580	21	4000	4000	NUM
ejpam-6517	580	22	6000	6000	NUM
ejpam-6517	580	23	8000	8000	NUM
ejpam-6517	580	24	10000	10000	NUM
ejpam-6517	580	25	12000	12000	NUM
ejpam-6517	580	26	14000	14000	NUM
ejpam-6517	580	27	phi	phi	NOUN
ejpam-6517	580	28	=	=	NOUN
ejpam-6517	580	29	0.7	0.7	NUM
ejpam-6517	580	30	phi	phi	NOUN
ejpam-6517	580	31	=	=	SYM
ejpam-6517	580	32	0.8	0.8	NUM
ejpam-6517	580	33	phi	phi	NOUN
ejpam-6517	580	34	=	=	SYM
ejpam-6517	580	35	0.9	0.9	NUM
ejpam-6517	580	36	phi	phi	NOUN
ejpam-6517	580	37	=	=	SYM
ejpam-6517	580	38	1.0	1.0	NUM
ejpam-6517	580	39	figure	figure	NOUN
ejpam-6517	580	40	8	8	NUM
ejpam-6517	580	41	:	:	PUNCT
ejpam-6517	580	42	nsfd	nsfd	ADJ
ejpam-6517	580	43	-	-	PUNCT
ejpam-6517	580	44	based	base	VERB
ejpam-6517	580	45	graph	graph	NOUN
ejpam-6517	580	46	of	of	ADP
ejpam-6517	580	47	computations	computation	NOUN
ejpam-6517	580	48	for	for	ADP
ejpam-6517	580	49	the	the	DET
ejpam-6517	580	50	deterministic	deterministic	ADJ
ejpam-6517	580	51	model	model	NOUN
ejpam-6517	580	52	(	(	PUNCT
ejpam-6517	580	53	1	1	NUM
ejpam-6517	580	54	)	)	PUNCT
ejpam-6517	580	55	.	.	PUNCT
ejpam-6517	581	1	recovered	recover	VERB
ejpam-6517	581	2	compartment	compartment	NOUN
ejpam-6517	581	3	using	use	VERB
ejpam-6517	581	4	data	datum	NOUN
ejpam-6517	581	5	from	from	ADP
ejpam-6517	581	6	table	table	NOUN
ejpam-6517	581	7	(	(	PUNCT
ejpam-6517	581	8	1	1	NUM
ejpam-6517	581	9	)	)	PUNCT
ejpam-6517	581	10	,	,	PUNCT
ejpam-6517	581	11	we	we	PRON
ejpam-6517	581	12	plotted	plot	VERB
ejpam-6517	581	13	the	the	DET
ejpam-6517	581	14	model	model	NOUN
ejpam-6517	581	15	through	through	ADP
ejpam-6517	581	16	the	the	DET
ejpam-6517	581	17	nsfd	nsfd	ADJ
ejpam-6517	581	18	scheme	scheme	NOUN
ejpam-6517	581	19	.	.	PUNCT
ejpam-6517	582	1	from	from	ADP
ejpam-6517	582	2	figure	figure	NOUN
ejpam-6517	582	3	(	(	PUNCT
ejpam-6517	582	4	3	3	NUM
ejpam-6517	582	5	)	)	PUNCT
ejpam-6517	582	6	,	,	PUNCT
ejpam-6517	582	7	we	we	PRON
ejpam-6517	582	8	observe	observe	VERB
ejpam-6517	582	9	that	that	SCONJ
ejpam-6517	582	10	susceptibility	susceptibility	NOUN
ejpam-6517	582	11	decreases	decrease	VERB
ejpam-6517	582	12	over	over	ADP
ejpam-6517	582	13	time	time	NOUN
ejpam-6517	582	14	and	and	CCONJ
ejpam-6517	582	15	stabilizes	stabilize	VERB
ejpam-6517	582	16	after	after	ADP
ejpam-6517	582	17	about	about	ADP
ejpam-6517	582	18	one	one	NUM
ejpam-6517	582	19	month	month	NOUN
ejpam-6517	582	20	.	.	PUNCT
ejpam-6517	583	1	implementing	implement	VERB
ejpam-6517	583	2	a	a	DET
ejpam-6517	583	3	vaccination	vaccination	NOUN
ejpam-6517	583	4	campaign	campaign	NOUN
ejpam-6517	583	5	before	before	SCONJ
ejpam-6517	583	6	infection	infection	NOUN
ejpam-6517	583	7	helps	help	VERB
ejpam-6517	583	8	reduce	reduce	VERB
ejpam-6517	583	9	the	the	DET
ejpam-6517	583	10	disease	disease	NOUN
ejpam-6517	583	11	flow	flow	NOUN
ejpam-6517	583	12	m.	m.	NOUN
ejpam-6517	583	13	mohiudin	mohiudin	PROPN
ejpam-6517	583	14	et	et	PROPN
ejpam-6517	583	15	al	al	PROPN
ejpam-6517	583	16	.	.	PUNCT
ejpam-6517	583	17	/	/	SYM
ejpam-6517	583	18	eur	eur	PROPN
ejpam-6517	583	19	.	.	PUNCT
ejpam-6517	584	1	j.	j.	PROPN
ejpam-6517	584	2	pure	pure	PROPN
ejpam-6517	584	3	appl	appl	PROPN
ejpam-6517	584	4	.	.	PROPN
ejpam-6517	584	5	math	math	PROPN
ejpam-6517	584	6	,	,	PUNCT
ejpam-6517	584	7	18	18	NUM
ejpam-6517	584	8	(	(	PUNCT
ejpam-6517	584	9	3	3	NUM
ejpam-6517	584	10	)	)	PUNCT
ejpam-6517	584	11	(	(	PUNCT
ejpam-6517	584	12	2025	2025	NUM
ejpam-6517	584	13	)	)	PUNCT
ejpam-6517	584	14	,	,	PUNCT
ejpam-6517	584	15	6517	6517	NUM
ejpam-6517	584	16	28	28	NUM
ejpam-6517	584	17	of	of	ADP
ejpam-6517	584	18	40	40	NUM
ejpam-6517	584	19	and	and	CCONJ
ejpam-6517	584	20	achieves	achieve	VERB
ejpam-6517	584	21	satisfactory	satisfactory	ADJ
ejpam-6517	584	22	stability	stability	NOUN
ejpam-6517	584	23	(	(	PUNCT
ejpam-6517	584	24	see	see	VERB
ejpam-6517	584	25	4	4	NUM
ejpam-6517	584	26	)	)	PUNCT
ejpam-6517	584	27	.	.	PUNCT
ejpam-6517	585	1	in	in	ADP
ejpam-6517	585	2	the	the	DET
ejpam-6517	585	3	absence	absence	NOUN
ejpam-6517	585	4	of	of	ADP
ejpam-6517	585	5	clear	clear	ADJ
ejpam-6517	585	6	symptoms	symptom	NOUN
ejpam-6517	585	7	,	,	PUNCT
ejpam-6517	585	8	populations	population	NOUN
ejpam-6517	585	9	are	be	AUX
ejpam-6517	585	10	exposed	expose	VERB
ejpam-6517	585	11	to	to	ADP
ejpam-6517	585	12	the	the	DET
ejpam-6517	585	13	disease	disease	NOUN
ejpam-6517	585	14	,	,	PUNCT
ejpam-6517	585	15	and	and	CCONJ
ejpam-6517	585	16	the	the	DET
ejpam-6517	585	17	dynamics	dynamic	NOUN
ejpam-6517	585	18	of	of	ADP
ejpam-6517	585	19	the	the	DET
ejpam-6517	585	20	compartments	compartment	NOUN
ejpam-6517	585	21	are	be	AUX
ejpam-6517	585	22	shown	show	VERB
ejpam-6517	585	23	in	in	ADP
ejpam-6517	585	24	figure	figure	NOUN
ejpam-6517	585	25	(	(	PUNCT
ejpam-6517	585	26	5	5	NUM
ejpam-6517	585	27	)	)	PUNCT
ejpam-6517	585	28	.	.	PUNCT
ejpam-6517	586	1	initially	initially	ADV
ejpam-6517	586	2	,	,	PUNCT
ejpam-6517	586	3	the	the	DET
ejpam-6517	586	4	infection	infection	NOUN
ejpam-6517	586	5	class	class	NOUN
ejpam-6517	586	6	is	be	AUX
ejpam-6517	586	7	at	at	ADP
ejpam-6517	586	8	a	a	DET
ejpam-6517	586	9	high	high	ADJ
ejpam-6517	586	10	level	level	NOUN
ejpam-6517	586	11	,	,	PUNCT
ejpam-6517	586	12	but	but	CCONJ
ejpam-6517	586	13	after	after	ADP
ejpam-6517	586	14	treatment	treatment	NOUN
ejpam-6517	586	15	and	and	CCONJ
ejpam-6517	586	16	the	the	DET
ejpam-6517	586	17	vaccination	vaccination	NOUN
ejpam-6517	586	18	campaign	campaign	NOUN
ejpam-6517	586	19	,	,	PUNCT
ejpam-6517	586	20	a	a	DET
ejpam-6517	586	21	decline	decline	NOUN
ejpam-6517	586	22	in	in	ADP
ejpam-6517	586	23	the	the	DET
ejpam-6517	586	24	disease	disease	NOUN
ejpam-6517	586	25	flow	flow	NOUN
ejpam-6517	586	26	is	be	AUX
ejpam-6517	586	27	seen	see	VERB
ejpam-6517	586	28	(	(	PUNCT
ejpam-6517	586	29	see	see	VERB
ejpam-6517	586	30	6	6	NUM
ejpam-6517	586	31	)	)	PUNCT
ejpam-6517	586	32	.	.	PUNCT
ejpam-6517	587	1	applying	apply	VERB
ejpam-6517	587	2	treatment	treatment	NOUN
ejpam-6517	587	3	strategies	strategy	NOUN
ejpam-6517	587	4	to	to	PART
ejpam-6517	587	5	control	control	VERB
ejpam-6517	587	6	the	the	DET
ejpam-6517	587	7	disease	disease	NOUN
ejpam-6517	587	8	,	,	PUNCT
ejpam-6517	587	9	figure	figure	NOUN
ejpam-6517	587	10	(	(	PUNCT
ejpam-6517	587	11	7	7	X
ejpam-6517	587	12	)	)	PUNCT
ejpam-6517	587	13	shows	show	VERB
ejpam-6517	587	14	an	an	DET
ejpam-6517	587	15	exponential	exponential	ADJ
ejpam-6517	587	16	growth	growth	NOUN
ejpam-6517	587	17	in	in	ADP
ejpam-6517	587	18	the	the	DET
ejpam-6517	587	19	recovered	recover	VERB
ejpam-6517	587	20	compartment	compartment	NOUN
ejpam-6517	587	21	,	,	PUNCT
ejpam-6517	587	22	demonstrating	demonstrate	VERB
ejpam-6517	587	23	the	the	DET
ejpam-6517	587	24	model	model	NOUN
ejpam-6517	587	25	’s	’s	PART
ejpam-6517	587	26	accuracy	accuracy	NOUN
ejpam-6517	587	27	and	and	CCONJ
ejpam-6517	587	28	usefulness	usefulness	NOUN
ejpam-6517	587	29	(	(	PUNCT
ejpam-6517	587	30	see	see	VERB
ejpam-6517	587	31	8)	8)	NUM
ejpam-6517	587	32	.	.	NOUN
ejpam-6517	587	33	time	time	NOUN
ejpam-6517	587	34	t	t	PROPN
ejpam-6517	587	35	(	(	PUNCT
ejpam-6517	587	36	days	day	NOUN
ejpam-6517	587	37	)	)	PUNCT
ejpam-6517	587	38	0	0	NUM
ejpam-6517	588	1	10	10	NUM
ejpam-6517	588	2	20	20	NUM
ejpam-6517	588	3	30	30	NUM
ejpam-6517	588	4	40	40	NUM
ejpam-6517	588	5	50	50	NUM
ejpam-6517	588	6	60	60	NUM
ejpam-6517	588	7	s	s	NOUN
ejpam-6517	588	8	u	u	NOUN
ejpam-6517	588	9	s	s	PRON
ejpam-6517	588	10	c	c	NOUN
ejpam-6517	588	11	e	e	NOUN
ejpam-6517	588	12	p	p	X
ejpam-6517	588	13	ti	ti	PROPN
ejpam-6517	588	14	b	b	X
ejpam-6517	588	15	le	le	X
ejpam-6517	588	16	c	c	X
ejpam-6517	588	17	la	la	PROPN
ejpam-6517	588	18	s	s	PROPN
ejpam-6517	588	19	s	s	NOUN
ejpam-6517	588	20	×107	×107	NOUN
ejpam-6517	588	21	0	0	NUM
ejpam-6517	588	22	0.5	0.5	NUM
ejpam-6517	588	23	1	1	NUM
ejpam-6517	588	24	1.5	1.5	NUM
ejpam-6517	588	25	2	2	NUM
ejpam-6517	588	26	2.5	2.5	NUM
ejpam-6517	588	27	3	3	NUM
ejpam-6517	588	28	3.5	3.5	NUM
ejpam-6517	588	29	figure	figure	NOUN
ejpam-6517	588	30	9	9	NUM
ejpam-6517	588	31	:	:	PUNCT
ejpam-6517	588	32	plot	plot	NOUN
ejpam-6517	588	33	of	of	ADP
ejpam-6517	588	34	fractional	fractional	ADJ
ejpam-6517	588	35	technique	technique	NOUN
ejpam-6517	588	36	based	base	VERB
ejpam-6517	588	37	numerical	numerical	ADJ
ejpam-6517	588	38	solutions	solution	NOUN
ejpam-6517	588	39	for	for	ADP
ejpam-6517	588	40	the	the	DET
ejpam-6517	588	41	deterministic	deterministic	ADJ
ejpam-6517	588	42	model	model	NOUN
ejpam-6517	588	43	(	(	PUNCT
ejpam-6517	588	44	1	1	NUM
ejpam-6517	588	45	)	)	PUNCT
ejpam-6517	588	46	susceptible	susceptible	ADJ
ejpam-6517	588	47	compartment	compartment	NOUN
ejpam-6517	588	48	.	.	PUNCT
ejpam-6517	589	1	m.	m.	NOUN
ejpam-6517	589	2	mohiudin	mohiudin	PROPN
ejpam-6517	589	3	et	et	PROPN
ejpam-6517	589	4	al	al	PROPN
ejpam-6517	589	5	.	.	PUNCT
ejpam-6517	589	6	/	/	SYM
ejpam-6517	589	7	eur	eur	PROPN
ejpam-6517	589	8	.	.	PUNCT
ejpam-6517	590	1	j.	j.	PROPN
ejpam-6517	590	2	pure	pure	PROPN
ejpam-6517	590	3	appl	appl	PROPN
ejpam-6517	590	4	.	.	PROPN
ejpam-6517	590	5	math	math	PROPN
ejpam-6517	590	6	,	,	PUNCT
ejpam-6517	590	7	18	18	NUM
ejpam-6517	590	8	(	(	PUNCT
ejpam-6517	590	9	3	3	NUM
ejpam-6517	590	10	)	)	PUNCT
ejpam-6517	590	11	(	(	PUNCT
ejpam-6517	590	12	2025	2025	NUM
ejpam-6517	590	13	)	)	PUNCT
ejpam-6517	590	14	,	,	PUNCT
ejpam-6517	590	15	6517	6517	NUM
ejpam-6517	590	16	29	29	NUM
ejpam-6517	590	17	of	of	ADP
ejpam-6517	590	18	40	40	NUM
ejpam-6517	590	19	time	time	NOUN
ejpam-6517	590	20	t	t	PROPN
ejpam-6517	590	21	(	(	PUNCT
ejpam-6517	590	22	days	day	NOUN
ejpam-6517	590	23	)	)	PUNCT
ejpam-6517	590	24	0	0	NUM
ejpam-6517	591	1	10	10	NUM
ejpam-6517	591	2	20	20	NUM
ejpam-6517	591	3	30	30	NUM
ejpam-6517	591	4	40	40	NUM
ejpam-6517	591	5	50	50	NUM
ejpam-6517	591	6	60	60	NUM
ejpam-6517	591	7	v	v	NOUN
ejpam-6517	591	8	a	a	DET
ejpam-6517	591	9	c	c	NOUN
ejpam-6517	591	10	c	c	NOUN
ejpam-6517	591	11	in	in	ADP
ejpam-6517	591	12	a	a	DET
ejpam-6517	591	13	ti	ti	NOUN
ejpam-6517	591	14	o	o	NOUN
ejpam-6517	591	15	n	n	ADP
ejpam-6517	591	16	c	c	X
ejpam-6517	591	17	la	la	NOUN
ejpam-6517	591	18	s	s	NOUN
ejpam-6517	591	19	s	s	NOUN
ejpam-6517	591	20	×107	×107	NOUN
ejpam-6517	591	21	0	0	NUM
ejpam-6517	591	22	0.2	0.2	NUM
ejpam-6517	591	23	0.4	0.4	NUM
ejpam-6517	591	24	0.6	0.6	NUM
ejpam-6517	591	25	0.8	0.8	NUM
ejpam-6517	591	26	1	1	NUM
ejpam-6517	591	27	1.2	1.2	NUM
ejpam-6517	591	28	1.4	1.4	NUM
ejpam-6517	591	29	1.6	1.6	NUM
ejpam-6517	591	30	1.8	1.8	NUM
ejpam-6517	591	31	2	2	NUM
ejpam-6517	591	32	figure	figure	NOUN
ejpam-6517	591	33	10	10	NUM
ejpam-6517	591	34	:	:	PUNCT
ejpam-6517	591	35	plot	plot	NOUN
ejpam-6517	591	36	of	of	ADP
ejpam-6517	591	37	fractional	fractional	ADJ
ejpam-6517	591	38	technique	technique	NOUN
ejpam-6517	591	39	-	-	PUNCT
ejpam-6517	591	40	based	base	VERB
ejpam-6517	591	41	numerical	numerical	ADJ
ejpam-6517	591	42	solutions	solution	NOUN
ejpam-6517	591	43	for	for	ADP
ejpam-6517	591	44	the	the	DET
ejpam-6517	591	45	deterministic	deterministic	ADJ
ejpam-6517	591	46	model	model	NOUN
ejpam-6517	591	47	(	(	PUNCT
ejpam-6517	591	48	1	1	NUM
ejpam-6517	591	49	)	)	PUNCT
ejpam-6517	591	50	vaccination	vaccination	NOUN
ejpam-6517	591	51	compartment	compartment	NOUN
ejpam-6517	591	52	.	.	PUNCT
ejpam-6517	592	1	time	time	NOUN
ejpam-6517	592	2	t	t	PROPN
ejpam-6517	592	3	(	(	PUNCT
ejpam-6517	592	4	days	day	NOUN
ejpam-6517	592	5	)	)	PUNCT
ejpam-6517	592	6	0	0	NUM
ejpam-6517	593	1	10	10	NUM
ejpam-6517	593	2	20	20	NUM
ejpam-6517	593	3	30	30	NUM
ejpam-6517	593	4	40	40	NUM
ejpam-6517	593	5	50	50	NUM
ejpam-6517	593	6	60	60	NUM
ejpam-6517	593	7	e	e	NOUN
ejpam-6517	593	8	x	x	X
ejpam-6517	593	9	p	p	NOUN
ejpam-6517	593	10	o	o	X
ejpam-6517	593	11	s	s	X
ejpam-6517	593	12	e	e	X
ejpam-6517	593	13	d	d	X
ejpam-6517	593	14	c	c	X
ejpam-6517	593	15	la	la	PROPN
ejpam-6517	593	16	s	s	PROPN
ejpam-6517	593	17	s	s	NOUN
ejpam-6517	593	18	0	0	NUM
ejpam-6517	593	19	1000	1000	NUM
ejpam-6517	593	20	2000	2000	NUM
ejpam-6517	593	21	3000	3000	NUM
ejpam-6517	593	22	4000	4000	NUM
ejpam-6517	593	23	5000	5000	NUM
ejpam-6517	593	24	6000	6000	NUM
ejpam-6517	593	25	7000	7000	NUM
ejpam-6517	593	26	8000	8000	NUM
ejpam-6517	593	27	9000	9000	NUM
ejpam-6517	593	28	10000	10000	NUM
ejpam-6517	593	29	figure	figure	NOUN
ejpam-6517	593	30	11	11	NUM
ejpam-6517	593	31	:	:	PUNCT
ejpam-6517	593	32	plot	plot	NOUN
ejpam-6517	593	33	of	of	ADP
ejpam-6517	593	34	fractional	fractional	ADJ
ejpam-6517	593	35	technique	technique	NOUN
ejpam-6517	593	36	-	-	PUNCT
ejpam-6517	593	37	based	base	VERB
ejpam-6517	593	38	numerical	numerical	ADJ
ejpam-6517	593	39	solutions	solution	NOUN
ejpam-6517	593	40	for	for	ADP
ejpam-6517	593	41	the	the	DET
ejpam-6517	593	42	deterministic	deterministic	ADJ
ejpam-6517	593	43	model	model	NOUN
ejpam-6517	593	44	(	(	PUNCT
ejpam-6517	593	45	1	1	NUM
ejpam-6517	593	46	)	)	PUNCT
ejpam-6517	593	47	(	(	PUNCT
ejpam-6517	593	48	1	1	X
ejpam-6517	593	49	)	)	PUNCT
ejpam-6517	593	50	exposed	expose	VERB
ejpam-6517	593	51	compartment	compartment	NOUN
ejpam-6517	593	52	.	.	PUNCT
ejpam-6517	594	1	m.	m.	NOUN
ejpam-6517	594	2	mohiudin	mohiudin	PROPN
ejpam-6517	594	3	et	et	PROPN
ejpam-6517	594	4	al	al	PROPN
ejpam-6517	594	5	.	.	PUNCT
ejpam-6517	594	6	/	/	SYM
ejpam-6517	594	7	eur	eur	PROPN
ejpam-6517	594	8	.	.	PUNCT
ejpam-6517	595	1	j.	j.	PROPN
ejpam-6517	595	2	pure	pure	PROPN
ejpam-6517	595	3	appl	appl	PROPN
ejpam-6517	595	4	.	.	PROPN
ejpam-6517	595	5	math	math	PROPN
ejpam-6517	595	6	,	,	PUNCT
ejpam-6517	595	7	18	18	NUM
ejpam-6517	595	8	(	(	PUNCT
ejpam-6517	595	9	3	3	NUM
ejpam-6517	595	10	)	)	PUNCT
ejpam-6517	595	11	(	(	PUNCT
ejpam-6517	595	12	2025	2025	NUM
ejpam-6517	595	13	)	)	PUNCT
ejpam-6517	595	14	,	,	PUNCT
ejpam-6517	595	15	6517	6517	NUM
ejpam-6517	595	16	30	30	NUM
ejpam-6517	595	17	of	of	ADP
ejpam-6517	595	18	40	40	NUM
ejpam-6517	595	19	time	time	NOUN
ejpam-6517	595	20	t	t	PROPN
ejpam-6517	595	21	(	(	PUNCT
ejpam-6517	595	22	days	day	NOUN
ejpam-6517	595	23	)	)	PUNCT
ejpam-6517	595	24	0	0	NUM
ejpam-6517	595	25	10	10	NUM
ejpam-6517	595	26	20	20	NUM
ejpam-6517	595	27	30	30	NUM
ejpam-6517	595	28	40	40	NUM
ejpam-6517	595	29	50	50	NUM
ejpam-6517	595	30	60	60	NUM
ejpam-6517	595	31	in	in	ADP
ejpam-6517	595	32	fe	fe	X
ejpam-6517	595	33	c	c	X
ejpam-6517	595	34	te	te	PROPN
ejpam-6517	595	35	d	d	X
ejpam-6517	595	36	c	c	X
ejpam-6517	595	37	la	la	PROPN
ejpam-6517	595	38	s	s	PROPN
ejpam-6517	595	39	s	s	NOUN
ejpam-6517	595	40	1000	1000	NUM
ejpam-6517	595	41	2000	2000	NUM
ejpam-6517	595	42	3000	3000	NUM
ejpam-6517	595	43	4000	4000	NUM
ejpam-6517	595	44	5000	5000	NUM
ejpam-6517	595	45	6000	6000	NUM
ejpam-6517	595	46	7000	7000	NUM
ejpam-6517	595	47	8000	8000	NUM
ejpam-6517	595	48	9000	9000	NUM
ejpam-6517	595	49	figure	figure	NOUN
ejpam-6517	595	50	12	12	NUM
ejpam-6517	595	51	:	:	PUNCT
ejpam-6517	595	52	plot	plot	NOUN
ejpam-6517	595	53	of	of	ADP
ejpam-6517	595	54	fractional	fractional	ADJ
ejpam-6517	595	55	technique	technique	NOUN
ejpam-6517	595	56	-	-	PUNCT
ejpam-6517	595	57	based	base	VERB
ejpam-6517	595	58	numerical	numerical	ADJ
ejpam-6517	595	59	solutions	solution	NOUN
ejpam-6517	595	60	for	for	ADP
ejpam-6517	595	61	the	the	DET
ejpam-6517	595	62	deterministic	deterministic	ADJ
ejpam-6517	595	63	model	model	NOUN
ejpam-6517	595	64	(	(	PUNCT
ejpam-6517	595	65	1	1	NUM
ejpam-6517	595	66	)	)	PUNCT
ejpam-6517	595	67	(	(	PUNCT
ejpam-6517	595	68	1	1	X
ejpam-6517	595	69	)	)	PUNCT
ejpam-6517	595	70	infected	infected	ADJ
ejpam-6517	595	71	compartment	compartment	NOUN
ejpam-6517	595	72	.	.	PUNCT
ejpam-6517	596	1	time	time	NOUN
ejpam-6517	596	2	t	t	PROPN
ejpam-6517	596	3	(	(	PUNCT
ejpam-6517	596	4	days	day	NOUN
ejpam-6517	596	5	)	)	PUNCT
ejpam-6517	596	6	0	0	NUM
ejpam-6517	597	1	10	10	NUM
ejpam-6517	597	2	20	20	NUM
ejpam-6517	597	3	30	30	NUM
ejpam-6517	597	4	40	40	NUM
ejpam-6517	597	5	50	50	NUM
ejpam-6517	597	6	60	60	NUM
ejpam-6517	597	7	t	t	NOUN
ejpam-6517	597	8	re	re	VERB
ejpam-6517	597	9	a	a	DET
ejpam-6517	597	10	tm	tm	NOUN
ejpam-6517	597	11	e	e	PROPN
ejpam-6517	597	12	n	n	NOUN
ejpam-6517	597	13	t	t	PROPN
ejpam-6517	597	14	c	c	X
ejpam-6517	597	15	la	la	PROPN
ejpam-6517	597	16	s	s	PROPN
ejpam-6517	597	17	s	s	NOUN
ejpam-6517	597	18	0	0	NUM
ejpam-6517	597	19	100	100	NUM
ejpam-6517	597	20	200	200	NUM
ejpam-6517	597	21	300	300	NUM
ejpam-6517	597	22	400	400	NUM
ejpam-6517	597	23	500	500	NUM
ejpam-6517	597	24	600	600	NUM
ejpam-6517	597	25	700	700	NUM
ejpam-6517	597	26	800	800	NUM
ejpam-6517	597	27	900	900	NUM
ejpam-6517	597	28	1000	1000	NUM
ejpam-6517	597	29	figure	figure	NOUN
ejpam-6517	597	30	13	13	NUM
ejpam-6517	597	31	:	:	PUNCT
ejpam-6517	597	32	plot	plot	NOUN
ejpam-6517	597	33	of	of	ADP
ejpam-6517	597	34	fractional	fractional	ADJ
ejpam-6517	597	35	technique	technique	NOUN
ejpam-6517	597	36	-	-	PUNCT
ejpam-6517	597	37	based	base	VERB
ejpam-6517	597	38	numerical	numerical	ADJ
ejpam-6517	597	39	solutions	solution	NOUN
ejpam-6517	597	40	for	for	ADP
ejpam-6517	597	41	the	the	DET
ejpam-6517	597	42	deterministic	deterministic	ADJ
ejpam-6517	597	43	model	model	NOUN
ejpam-6517	597	44	(	(	PUNCT
ejpam-6517	597	45	1	1	NUM
ejpam-6517	597	46	)	)	PUNCT
ejpam-6517	597	47	(	(	PUNCT
ejpam-6517	597	48	1	1	X
ejpam-6517	597	49	)	)	PUNCT
ejpam-6517	597	50	treatment	treatment	NOUN
ejpam-6517	597	51	compartment	compartment	NOUN
ejpam-6517	597	52	.	.	PUNCT
ejpam-6517	598	1	m.	m.	NOUN
ejpam-6517	598	2	mohiudin	mohiudin	PROPN
ejpam-6517	598	3	et	et	PROPN
ejpam-6517	598	4	al	al	PROPN
ejpam-6517	598	5	.	.	PUNCT
ejpam-6517	598	6	/	/	SYM
ejpam-6517	598	7	eur	eur	PROPN
ejpam-6517	598	8	.	.	PUNCT
ejpam-6517	599	1	j.	j.	PROPN
ejpam-6517	599	2	pure	pure	PROPN
ejpam-6517	599	3	appl	appl	PROPN
ejpam-6517	599	4	.	.	PROPN
ejpam-6517	599	5	math	math	PROPN
ejpam-6517	599	6	,	,	PUNCT
ejpam-6517	599	7	18	18	NUM
ejpam-6517	599	8	(	(	PUNCT
ejpam-6517	599	9	3	3	NUM
ejpam-6517	599	10	)	)	PUNCT
ejpam-6517	599	11	(	(	PUNCT
ejpam-6517	599	12	2025	2025	NUM
ejpam-6517	599	13	)	)	PUNCT
ejpam-6517	599	14	,	,	PUNCT
ejpam-6517	599	15	6517	6517	NUM
ejpam-6517	599	16	31	31	NUM
ejpam-6517	599	17	of	of	ADP
ejpam-6517	599	18	40	40	NUM
ejpam-6517	599	19	time	time	NOUN
ejpam-6517	599	20	t	t	PROPN
ejpam-6517	599	21	(	(	PUNCT
ejpam-6517	599	22	days	day	NOUN
ejpam-6517	599	23	)	)	PUNCT
ejpam-6517	599	24	0	0	NUM
ejpam-6517	600	1	10	10	NUM
ejpam-6517	600	2	20	20	NUM
ejpam-6517	600	3	30	30	NUM
ejpam-6517	600	4	40	40	NUM
ejpam-6517	600	5	50	50	NUM
ejpam-6517	600	6	60	60	NUM
ejpam-6517	600	7	r	r	NOUN
ejpam-6517	600	8	e	e	NOUN
ejpam-6517	600	9	c	c	NOUN
ejpam-6517	600	10	o	o	X
ejpam-6517	600	11	v	v	X
ejpam-6517	600	12	e	e	X
ejpam-6517	600	13	re	re	NOUN
ejpam-6517	600	14	d	d	PROPN
ejpam-6517	600	15	c	c	X
ejpam-6517	600	16	la	la	PROPN
ejpam-6517	600	17	s	s	PROPN
ejpam-6517	600	18	s	s	NOUN
ejpam-6517	600	19	0	0	NUM
ejpam-6517	600	20	2000	2000	NUM
ejpam-6517	600	21	4000	4000	NUM
ejpam-6517	600	22	6000	6000	NUM
ejpam-6517	600	23	8000	8000	NUM
ejpam-6517	600	24	10000	10000	NUM
ejpam-6517	600	25	12000	12000	NUM
ejpam-6517	600	26	14000	14000	NUM
ejpam-6517	600	27	figure	figure	NOUN
ejpam-6517	600	28	14	14	NUM
ejpam-6517	600	29	:	:	PUNCT
ejpam-6517	600	30	plot	plot	NOUN
ejpam-6517	600	31	of	of	ADP
ejpam-6517	600	32	fractional	fractional	ADJ
ejpam-6517	600	33	technique	technique	NOUN
ejpam-6517	600	34	-	-	PUNCT
ejpam-6517	600	35	based	base	VERB
ejpam-6517	600	36	numerical	numerical	ADJ
ejpam-6517	600	37	solutions	solution	NOUN
ejpam-6517	600	38	for	for	ADP
ejpam-6517	600	39	the	the	DET
ejpam-6517	600	40	deterministic	deterministic	ADJ
ejpam-6517	600	41	model	model	NOUN
ejpam-6517	600	42	(	(	PUNCT
ejpam-6517	600	43	1	1	NUM
ejpam-6517	600	44	)	)	PUNCT
ejpam-6517	600	45	(	(	PUNCT
ejpam-6517	600	46	1	1	X
ejpam-6517	600	47	)	)	PUNCT
ejpam-6517	600	48	recovered	recovered	ADJ
ejpam-6517	600	49	compartment	compartment	NOUN
ejpam-6517	600	50	.	.	PUNCT
ejpam-6517	601	1	here	here	ADV
ejpam-6517	601	2	,	,	PUNCT
ejpam-6517	601	3	we	we	PRON
ejpam-6517	601	4	model	model	VERB
ejpam-6517	601	5	the	the	DET
ejpam-6517	601	6	illness	illness	NOUN
ejpam-6517	601	7	dynamics	dynamic	NOUN
ejpam-6517	601	8	using	use	VERB
ejpam-6517	601	9	the	the	DET
ejpam-6517	601	10	rk2	rk2	NOUN
ejpam-6517	601	11	(	(	PUNCT
ejpam-6517	601	12	second	second	ADJ
ejpam-6517	601	13	-	-	PUNCT
ejpam-6517	601	14	order	order	NOUN
ejpam-6517	601	15	runge	runge	NOUN
ejpam-6517	601	16	-	-	PUNCT
ejpam-6517	601	17	kutta	kutta	NOUN
ejpam-6517	601	18	)	)	PUNCT
ejpam-6517	601	19	fractional	fractional	ADJ
ejpam-6517	601	20	numerical	numerical	ADJ
ejpam-6517	601	21	technique	technique	NOUN
ejpam-6517	601	22	.	.	PUNCT
ejpam-6517	602	1	we	we	PRON
ejpam-6517	602	2	illustrate	illustrate	VERB
ejpam-6517	602	3	the	the	DET
ejpam-6517	602	4	model	model	NOUN
ejpam-6517	602	5	using	use	VERB
ejpam-6517	602	6	this	this	DET
ejpam-6517	602	7	approach	approach	NOUN
ejpam-6517	602	8	,	,	PUNCT
ejpam-6517	602	9	which	which	PRON
ejpam-6517	602	10	entails	entail	VERB
ejpam-6517	602	11	gradually	gradually	ADV
ejpam-6517	602	12	approximating	approximate	VERB
ejpam-6517	602	13	the	the	DET
ejpam-6517	602	14	solution	solution	NOUN
ejpam-6517	602	15	of	of	ADP
ejpam-6517	602	16	the	the	DET
ejpam-6517	602	17	system	system	NOUN
ejpam-6517	602	18	of	of	ADP
ejpam-6517	602	19	differential	differential	ADJ
ejpam-6517	602	20	equations	equation	NOUN
ejpam-6517	602	21	,	,	PUNCT
ejpam-6517	602	22	using	use	VERB
ejpam-6517	602	23	data	datum	NOUN
ejpam-6517	602	24	from	from	ADP
ejpam-6517	602	25	table	table	NOUN
ejpam-6517	602	26	(	(	PUNCT
ejpam-6517	602	27	1	1	NUM
ejpam-6517	602	28	)	)	PUNCT
ejpam-6517	602	29	.	.	PUNCT
ejpam-6517	603	1	because	because	SCONJ
ejpam-6517	603	2	it	it	PRON
ejpam-6517	603	3	strikes	strike	VERB
ejpam-6517	603	4	a	a	DET
ejpam-6517	603	5	balance	balance	NOUN
ejpam-6517	603	6	between	between	ADP
ejpam-6517	603	7	precision	precision	NOUN
ejpam-6517	603	8	and	and	CCONJ
ejpam-6517	603	9	computing	computing	NOUN
ejpam-6517	603	10	efficiency	efficiency	NOUN
ejpam-6517	603	11	,	,	PUNCT
ejpam-6517	603	12	the	the	DET
ejpam-6517	603	13	rk2	rk2	NOUN
ejpam-6517	603	14	approach	approach	NOUN
ejpam-6517	603	15	is	be	AUX
ejpam-6517	603	16	frequently	frequently	ADV
ejpam-6517	603	17	used	use	VERB
ejpam-6517	603	18	in	in	ADP
ejpam-6517	603	19	fractional	fractional	ADJ
ejpam-6517	603	20	systems	system	NOUN
ejpam-6517	603	21	.	.	PUNCT
ejpam-6517	604	1	in	in	ADP
ejpam-6517	604	2	figures	figure	NOUN
ejpam-6517	604	3	(	(	PUNCT
ejpam-6517	604	4	9	9	NUM
ejpam-6517	604	5	-	-	SYM
ejpam-6517	604	6	14	14	NUM
ejpam-6517	604	7	)	)	PUNCT
ejpam-6517	604	8	,	,	PUNCT
ejpam-6517	604	9	we	we	PRON
ejpam-6517	604	10	plotted	plot	VERB
ejpam-6517	604	11	the	the	DET
ejpam-6517	604	12	system	system	NOUN
ejpam-6517	604	13	(	(	PUNCT
ejpam-6517	604	14	1	1	X
ejpam-6517	604	15	)	)	PUNCT
ejpam-6517	604	16	using	use	VERB
ejpam-6517	604	17	the	the	DET
ejpam-6517	604	18	fractional	fractional	ADJ
ejpam-6517	604	19	order	order	NOUN
ejpam-6517	604	20	α	α	NOUN
ejpam-6517	604	21	=	=	NOUN
ejpam-6517	604	22	0.7	0.7	NUM
ejpam-6517	604	23	,	,	PUNCT
ejpam-6517	604	24	0.8	0.8	NUM
ejpam-6517	604	25	,	,	PUNCT
ejpam-6517	604	26	0.9	0.9	NUM
ejpam-6517	604	27	,	,	PUNCT
ejpam-6517	604	28	1	1	NUM
ejpam-6517	604	29	.	.	PUNCT
ejpam-6517	605	1	as	as	SCONJ
ejpam-6517	605	2	we	we	PRON
ejpam-6517	605	3	can	can	AUX
ejpam-6517	605	4	see	see	VERB
ejpam-6517	605	5	from	from	ADP
ejpam-6517	605	6	figure	figure	NOUN
ejpam-6517	605	7	(	(	PUNCT
ejpam-6517	605	8	9	9	NUM
ejpam-6517	605	9	)	)	PUNCT
ejpam-6517	605	10	,	,	PUNCT
ejpam-6517	605	11	the	the	DET
ejpam-6517	605	12	population	population	NOUN
ejpam-6517	605	13	’s	’s	PART
ejpam-6517	605	14	susceptibility	susceptibility	NOUN
ejpam-6517	605	15	gradually	gradually	ADV
ejpam-6517	605	16	declines	decline	VERB
ejpam-6517	605	17	and	and	CCONJ
ejpam-6517	605	18	stabilizes	stabilize	VERB
ejpam-6517	605	19	after	after	ADP
ejpam-6517	605	20	about	about	ADP
ejpam-6517	605	21	a	a	PRON
ejpam-6517	605	22	month	month	NOUN
ejpam-6517	605	23	,	,	PUNCT
ejpam-6517	605	24	which	which	PRON
ejpam-6517	605	25	is	be	AUX
ejpam-6517	605	26	comparable	comparable	ADJ
ejpam-6517	605	27	to	to	ADP
ejpam-6517	605	28	the	the	DET
ejpam-6517	605	29	outcomes	outcome	NOUN
ejpam-6517	605	30	of	of	ADP
ejpam-6517	605	31	the	the	DET
ejpam-6517	605	32	nsfd	nsfd	ADJ
ejpam-6517	605	33	scheme	scheme	NOUN
ejpam-6517	605	34	.	.	PUNCT
ejpam-6517	606	1	but	but	CCONJ
ejpam-6517	606	2	the	the	DET
ejpam-6517	606	3	rk2	rk2	NOUN
ejpam-6517	606	4	approach	approach	NOUN
ejpam-6517	606	5	captures	capture	VERB
ejpam-6517	606	6	these	these	DET
ejpam-6517	606	7	dynamics	dynamic	NOUN
ejpam-6517	606	8	more	more	ADV
ejpam-6517	606	9	accurately	accurately	ADV
ejpam-6517	606	10	,	,	PUNCT
ejpam-6517	606	11	particularly	particularly	ADV
ejpam-6517	606	12	when	when	SCONJ
ejpam-6517	606	13	it	it	PRON
ejpam-6517	606	14	comes	come	VERB
ejpam-6517	606	15	to	to	ADP
ejpam-6517	606	16	fleeting	fleeting	ADJ
ejpam-6517	606	17	behaviors	behavior	NOUN
ejpam-6517	606	18	.	.	PUNCT
ejpam-6517	607	1	once	once	ADV
ejpam-6517	607	2	more	more	ADJ
ejpam-6517	607	3	,	,	PUNCT
ejpam-6517	607	4	the	the	DET
ejpam-6517	607	5	stability	stability	NOUN
ejpam-6517	607	6	attained	attain	VERB
ejpam-6517	607	7	here	here	ADV
ejpam-6517	607	8	suggests	suggest	VERB
ejpam-6517	607	9	that	that	SCONJ
ejpam-6517	607	10	the	the	DET
ejpam-6517	607	11	disease	disease	NOUN
ejpam-6517	607	12	’s	’s	PART
ejpam-6517	607	13	development	development	NOUN
ejpam-6517	607	14	has	have	AUX
ejpam-6517	607	15	been	be	AUX
ejpam-6517	607	16	successfully	successfully	ADV
ejpam-6517	607	17	modeled	model	VERB
ejpam-6517	607	18	.	.	PUNCT
ejpam-6517	608	1	a	a	DET
ejpam-6517	608	2	major	major	ADJ
ejpam-6517	608	3	factor	factor	NOUN
ejpam-6517	608	4	in	in	ADP
ejpam-6517	608	5	reducing	reduce	VERB
ejpam-6517	608	6	the	the	DET
ejpam-6517	608	7	spread	spread	NOUN
ejpam-6517	608	8	of	of	ADP
ejpam-6517	608	9	disease	disease	NOUN
ejpam-6517	608	10	is	be	AUX
ejpam-6517	608	11	the	the	DET
ejpam-6517	608	12	introduction	introduction	NOUN
ejpam-6517	608	13	of	of	ADP
ejpam-6517	608	14	a	a	DET
ejpam-6517	608	15	vaccination	vaccination	NOUN
ejpam-6517	608	16	campaign	campaign	NOUN
ejpam-6517	608	17	prior	prior	ADV
ejpam-6517	608	18	to	to	ADP
ejpam-6517	608	19	the	the	DET
ejpam-6517	608	20	commencement	commencement	NOUN
ejpam-6517	608	21	of	of	ADP
ejpam-6517	608	22	infection	infection	NOUN
ejpam-6517	608	23	,	,	PUNCT
ejpam-6517	608	24	as	as	SCONJ
ejpam-6517	608	25	shown	show	VERB
ejpam-6517	608	26	in	in	ADP
ejpam-6517	608	27	figure	figure	NOUN
ejpam-6517	608	28	(	(	PUNCT
ejpam-6517	608	29	10	10	NUM
ejpam-6517	608	30	)	)	PUNCT
ejpam-6517	608	31	.	.	PUNCT
ejpam-6517	609	1	over	over	ADP
ejpam-6517	609	2	time	time	NOUN
ejpam-6517	609	3	,	,	PUNCT
ejpam-6517	609	4	a	a	DET
ejpam-6517	609	5	more	more	ADV
ejpam-6517	609	6	stable	stable	ADJ
ejpam-6517	609	7	population	population	NOUN
ejpam-6517	609	8	results	result	NOUN
ejpam-6517	609	9	from	from	ADP
ejpam-6517	609	10	the	the	DET
ejpam-6517	609	11	vaccination	vaccination	NOUN
ejpam-6517	609	12	campaign	campaign	NOUN
ejpam-6517	609	13	’s	’s	PART
ejpam-6517	609	14	reduction	reduction	NOUN
ejpam-6517	609	15	of	of	ADP
ejpam-6517	609	16	the	the	DET
ejpam-6517	609	17	number	number	NOUN
ejpam-6517	609	18	of	of	ADP
ejpam-6517	609	19	vulnerable	vulnerable	ADJ
ejpam-6517	609	20	people	people	NOUN
ejpam-6517	609	21	and	and	CCONJ
ejpam-6517	609	22	greater	great	ADJ
ejpam-6517	609	23	suppression	suppression	NOUN
ejpam-6517	609	24	of	of	ADP
ejpam-6517	609	25	the	the	DET
ejpam-6517	609	26	disease	disease	NOUN
ejpam-6517	609	27	flow	flow	NOUN
ejpam-6517	609	28	.	.	PUNCT
ejpam-6517	610	1	the	the	DET
ejpam-6517	610	2	consequences	consequence	NOUN
ejpam-6517	610	3	of	of	ADP
ejpam-6517	610	4	the	the	DET
ejpam-6517	610	5	immunization	immunization	NOUN
ejpam-6517	610	6	campaign	campaign	NOUN
ejpam-6517	610	7	can	can	AUX
ejpam-6517	610	8	be	be	AUX
ejpam-6517	610	9	precisely	precisely	ADV
ejpam-6517	610	10	recorded	record	VERB
ejpam-6517	610	11	because	because	SCONJ
ejpam-6517	610	12	to	to	ADP
ejpam-6517	610	13	the	the	DET
ejpam-6517	610	14	rk2	rk2	NOUN
ejpam-6517	610	15	scheme	scheme	NOUN
ejpam-6517	610	16	’s	’s	PART
ejpam-6517	610	17	ability	ability	NOUN
ejpam-6517	610	18	to	to	ADP
ejpam-6517	610	19	fine	fine	ADJ
ejpam-6517	610	20	-	-	PUNCT
ejpam-6517	610	21	tune	tune	NOUN
ejpam-6517	610	22	these	these	DET
ejpam-6517	610	23	modifications	modification	NOUN
ejpam-6517	610	24	.	.	PUNCT
ejpam-6517	611	1	the	the	DET
ejpam-6517	611	2	number	number	NOUN
ejpam-6517	611	3	of	of	ADP
ejpam-6517	611	4	exposed	expose	VERB
ejpam-6517	611	5	individuals	individual	NOUN
ejpam-6517	611	6	declines	decline	VERB
ejpam-6517	611	7	over	over	ADP
ejpam-6517	611	8	time	time	NOUN
ejpam-6517	611	9	under	under	ADP
ejpam-6517	611	10	varying	vary	VERB
ejpam-6517	611	11	fractional	fractional	ADJ
ejpam-6517	611	12	order	order	NOUN
ejpam-6517	611	13	α	α	NOUN
ejpam-6517	611	14	values	value	NOUN
ejpam-6517	611	15	,	,	PUNCT
ejpam-6517	611	16	as	as	SCONJ
ejpam-6517	611	17	illustrated	illustrate	VERB
ejpam-6517	611	18	in	in	ADP
ejpam-6517	611	19	figure	figure	NOUN
ejpam-6517	611	20	(	(	PUNCT
ejpam-6517	611	21	11	11	NUM
ejpam-6517	611	22	)	)	PUNCT
ejpam-6517	611	23	.	.	PUNCT
ejpam-6517	612	1	in	in	ADP
ejpam-6517	612	2	contrast	contrast	NOUN
ejpam-6517	612	3	to	to	ADP
ejpam-6517	612	4	greater	great	ADJ
ejpam-6517	612	5	values	value	NOUN
ejpam-6517	612	6	(	(	PUNCT
ejpam-6517	612	7	e.g.	e.g.	ADV
ejpam-6517	612	8	,	,	PUNCT
ejpam-6517	612	9	1.0	1.0	NUM
ejpam-6517	612	10	)	)	PUNCT
ejpam-6517	612	11	,	,	PUNCT
ejpam-6517	612	12	lower	low	ADJ
ejpam-6517	612	13	values	value	NOUN
ejpam-6517	612	14	of	of	ADP
ejpam-6517	612	15	α	α	NOUN
ejpam-6517	612	16	(	(	PUNCT
ejpam-6517	612	17	e.g.	e.g.	ADV
ejpam-6517	612	18	,	,	PUNCT
ejpam-6517	612	19	0.7	0.7	NUM
ejpam-6517	612	20	)	)	PUNCT
ejpam-6517	612	21	cause	cause	VERB
ejpam-6517	612	22	a	a	DET
ejpam-6517	612	23	slower	slow	ADJ
ejpam-6517	612	24	decline	decline	NOUN
ejpam-6517	612	25	,	,	PUNCT
ejpam-6517	612	26	suggesting	suggest	VERB
ejpam-6517	612	27	that	that	SCONJ
ejpam-6517	612	28	fractionalorder	fractionalorder	NOUN
ejpam-6517	612	29	models	model	NOUN
ejpam-6517	612	30	reflect	reflect	VERB
ejpam-6517	612	31	memory	memory	NOUN
ejpam-6517	612	32	effects	effect	NOUN
ejpam-6517	612	33	that	that	PRON
ejpam-6517	612	34	impact	impact	VERB
ejpam-6517	612	35	the	the	DET
ejpam-6517	612	36	course	course	NOUN
ejpam-6517	612	37	of	of	ADP
ejpam-6517	612	38	disease	disease	NOUN
ejpam-6517	612	39	.	.	PUNCT
ejpam-6517	613	1	the	the	DET
ejpam-6517	613	2	decrease	decrease	NOUN
ejpam-6517	613	3	in	in	ADP
ejpam-6517	613	4	the	the	DET
ejpam-6517	613	5	number	number	NOUN
ejpam-6517	613	6	of	of	ADP
ejpam-6517	613	7	infected	infected	ADJ
ejpam-6517	613	8	people	people	NOUN
ejpam-6517	613	9	over	over	ADP
ejpam-6517	613	10	time	time	NOUN
ejpam-6517	613	11	is	be	AUX
ejpam-6517	613	12	shown	show	VERB
ejpam-6517	613	13	in	in	ADP
ejpam-6517	613	14	figure	figure	NOUN
ejpam-6517	613	15	(	(	PUNCT
ejpam-6517	613	16	12	12	NUM
ejpam-6517	613	17	)	)	PUNCT
ejpam-6517	613	18	,	,	PUNCT
ejpam-6517	613	19	which	which	PRON
ejpam-6517	613	20	shows	show	VERB
ejpam-6517	613	21	a	a	DET
ejpam-6517	613	22	similar	similar	ADJ
ejpam-6517	613	23	pattern	pattern	NOUN
ejpam-6517	613	24	.	.	PUNCT
ejpam-6517	614	1	a	a	DET
ejpam-6517	614	2	slower	slow	ADJ
ejpam-6517	614	3	decline	decline	NOUN
ejpam-6517	614	4	occurs	occur	VERB
ejpam-6517	614	5	with	with	ADP
ejpam-6517	614	6	a	a	DET
ejpam-6517	614	7	lower	low	ADJ
ejpam-6517	614	8	α	α	NOUN
ejpam-6517	614	9	,	,	PUNCT
ejpam-6517	614	10	indicating	indicate	VERB
ejpam-6517	614	11	that	that	SCONJ
ejpam-6517	614	12	memory	memory	NOUN
ejpam-6517	614	13	effects	effect	NOUN
ejpam-6517	614	14	extend	extend	VERB
ejpam-6517	614	15	the	the	DET
ejpam-6517	614	16	population	population	NOUN
ejpam-6517	614	17	’s	’s	PART
ejpam-6517	614	18	infection	infection	NOUN
ejpam-6517	614	19	period	period	NOUN
ejpam-6517	614	20	.	.	PUNCT
ejpam-6517	615	1	m.	m.	NOUN
ejpam-6517	615	2	mohiudin	mohiudin	PROPN
ejpam-6517	615	3	et	et	PROPN
ejpam-6517	615	4	al	al	PROPN
ejpam-6517	615	5	.	.	PUNCT
ejpam-6517	615	6	/	/	SYM
ejpam-6517	615	7	eur	eur	PROPN
ejpam-6517	615	8	.	.	PUNCT
ejpam-6517	616	1	j.	j.	PROPN
ejpam-6517	616	2	pure	pure	PROPN
ejpam-6517	616	3	appl	appl	PROPN
ejpam-6517	616	4	.	.	PROPN
ejpam-6517	616	5	math	math	PROPN
ejpam-6517	616	6	,	,	PUNCT
ejpam-6517	616	7	18	18	NUM
ejpam-6517	616	8	(	(	PUNCT
ejpam-6517	616	9	3	3	NUM
ejpam-6517	616	10	)	)	PUNCT
ejpam-6517	616	11	(	(	PUNCT
ejpam-6517	616	12	2025	2025	NUM
ejpam-6517	616	13	)	)	PUNCT
ejpam-6517	616	14	,	,	PUNCT
ejpam-6517	616	15	6517	6517	NUM
ejpam-6517	616	16	32	32	NUM
ejpam-6517	616	17	of	of	ADP
ejpam-6517	616	18	40	40	NUM
ejpam-6517	616	19	the	the	DET
ejpam-6517	616	20	number	number	NOUN
ejpam-6517	616	21	of	of	ADP
ejpam-6517	616	22	people	people	NOUN
ejpam-6517	616	23	receiving	receive	VERB
ejpam-6517	616	24	therapy	therapy	NOUN
ejpam-6517	616	25	over	over	ADP
ejpam-6517	616	26	time	time	NOUN
ejpam-6517	616	27	is	be	AUX
ejpam-6517	616	28	depicted	depict	VERB
ejpam-6517	616	29	in	in	ADP
ejpam-6517	616	30	figure	figure	NOUN
ejpam-6517	616	31	(	(	PUNCT
ejpam-6517	616	32	13	13	NUM
ejpam-6517	616	33	)	)	PUNCT
ejpam-6517	616	34	.	.	PUNCT
ejpam-6517	617	1	the	the	DET
ejpam-6517	617	2	number	number	NOUN
ejpam-6517	617	3	of	of	ADP
ejpam-6517	617	4	people	people	NOUN
ejpam-6517	617	5	receiving	receive	VERB
ejpam-6517	617	6	treatment	treatment	NOUN
ejpam-6517	617	7	first	first	ADJ
ejpam-6517	617	8	increases	increase	NOUN
ejpam-6517	617	9	,	,	PUNCT
ejpam-6517	617	10	peaks	peak	NOUN
ejpam-6517	617	11	,	,	PUNCT
ejpam-6517	617	12	and	and	CCONJ
ejpam-6517	617	13	then	then	ADV
ejpam-6517	617	14	progressively	progressively	ADV
ejpam-6517	617	15	decreases	decrease	VERB
ejpam-6517	617	16	.	.	PUNCT
ejpam-6517	618	1	lower	low	ADJ
ejpam-6517	618	2	values	value	NOUN
ejpam-6517	618	3	of	of	ADP
ejpam-6517	618	4	the	the	DET
ejpam-6517	618	5	fractional	fractional	ADJ
ejpam-6517	618	6	order	order	NOUN
ejpam-6517	618	7	α	α	NOUN
ejpam-6517	618	8	show	show	VERB
ejpam-6517	618	9	a	a	DET
ejpam-6517	618	10	slower	slow	ADJ
ejpam-6517	618	11	fall	fall	NOUN
ejpam-6517	618	12	,	,	PUNCT
ejpam-6517	618	13	indicating	indicate	VERB
ejpam-6517	618	14	that	that	SCONJ
ejpam-6517	618	15	treatment	treatment	NOUN
ejpam-6517	618	16	dynamics	dynamic	NOUN
ejpam-6517	618	17	are	be	AUX
ejpam-6517	618	18	influenced	influence	VERB
ejpam-6517	618	19	by	by	ADP
ejpam-6517	618	20	memory	memory	NOUN
ejpam-6517	618	21	effects	effect	NOUN
ejpam-6517	618	22	.	.	PUNCT
ejpam-6517	619	1	the	the	DET
ejpam-6517	619	2	model	model	NOUN
ejpam-6517	619	3	exhibits	exhibit	VERB
ejpam-6517	619	4	a	a	DET
ejpam-6517	619	5	more	more	ADV
ejpam-6517	619	6	conventional	conventional	ADJ
ejpam-6517	619	7	integer	integer	NOUN
ejpam-6517	619	8	-	-	PUNCT
ejpam-6517	619	9	order	order	NOUN
ejpam-6517	619	10	trend	trend	NOUN
ejpam-6517	619	11	with	with	ADP
ejpam-6517	619	12	a	a	DET
ejpam-6517	619	13	quicker	quick	ADJ
ejpam-6517	619	14	fall	fall	NOUN
ejpam-6517	619	15	when	when	SCONJ
ejpam-6517	619	16	α	α	X
ejpam-6517	619	17	=	=	NOUN
ejpam-6517	619	18	1.0	1.0	NUM
ejpam-6517	619	19	.	.	PUNCT
ejpam-6517	620	1	the	the	DET
ejpam-6517	620	2	reconstructed	reconstructed	ADJ
ejpam-6517	620	3	population	population	NOUN
ejpam-6517	620	4	’s	’s	PART
ejpam-6517	620	5	dynamics	dynamic	NOUN
ejpam-6517	620	6	throughout	throughout	ADP
ejpam-6517	620	7	time	time	NOUN
ejpam-6517	620	8	are	be	AUX
ejpam-6517	620	9	depicted	depict	VERB
ejpam-6517	620	10	in	in	ADP
ejpam-6517	620	11	figure	figure	NOUN
ejpam-6517	620	12	(	(	PUNCT
ejpam-6517	620	13	14	14	NUM
ejpam-6517	620	14	)	)	PUNCT
ejpam-6517	620	15	.	.	PUNCT
ejpam-6517	621	1	as	as	SCONJ
ejpam-6517	621	2	infected	infected	ADJ
ejpam-6517	621	3	individuals	individual	NOUN
ejpam-6517	621	4	recover	recover	VERB
ejpam-6517	621	5	,	,	PUNCT
ejpam-6517	621	6	the	the	DET
ejpam-6517	621	7	number	number	NOUN
ejpam-6517	621	8	of	of	ADP
ejpam-6517	621	9	recovered	recover	VERB
ejpam-6517	621	10	persons	person	NOUN
ejpam-6517	621	11	rises	rise	NOUN
ejpam-6517	621	12	,	,	PUNCT
ejpam-6517	621	13	peaking	peak	VERB
ejpam-6517	621	14	before	before	ADP
ejpam-6517	621	15	leveling	level	VERB
ejpam-6517	621	16	off	off	ADP
ejpam-6517	621	17	.	.	PUNCT
ejpam-6517	622	1	a	a	DET
ejpam-6517	622	2	longer	long	ADV
ejpam-6517	622	3	-	-	PUNCT
ejpam-6517	622	4	lasting	last	VERB
ejpam-6517	622	5	memory	memory	NOUN
ejpam-6517	622	6	impact	impact	NOUN
ejpam-6517	622	7	in	in	ADP
ejpam-6517	622	8	the	the	DET
ejpam-6517	622	9	system	system	NOUN
ejpam-6517	622	10	is	be	AUX
ejpam-6517	622	11	suggested	suggest	VERB
ejpam-6517	622	12	by	by	ADP
ejpam-6517	622	13	a	a	DET
ejpam-6517	622	14	greater	great	ADJ
ejpam-6517	622	15	recovery	recovery	NOUN
ejpam-6517	622	16	peak	peak	NOUN
ejpam-6517	622	17	at	at	ADP
ejpam-6517	622	18	lower	low	ADJ
ejpam-6517	622	19	α	α	NOUN
ejpam-6517	622	20	values	value	NOUN
ejpam-6517	622	21	(	(	PUNCT
ejpam-6517	622	22	e.g.	e.g.	ADV
ejpam-6517	622	23	,	,	PUNCT
ejpam-6517	622	24	0.7	0.7	NUM
ejpam-6517	622	25	)	)	PUNCT
ejpam-6517	622	26	.	.	PUNCT
ejpam-6517	623	1	the	the	DET
ejpam-6517	623	2	typical	typical	ADJ
ejpam-6517	623	3	integer	integer	NOUN
ejpam-6517	623	4	-	-	PUNCT
ejpam-6517	623	5	order	order	NOUN
ejpam-6517	623	6	model	model	NOUN
ejpam-6517	623	7	(	(	PUNCT
ejpam-6517	623	8	α	α	NOUN
ejpam-6517	623	9	=	=	SYM
ejpam-6517	623	10	1.0	1.0	NUM
ejpam-6517	623	11	)	)	PUNCT
ejpam-6517	623	12	exhibits	exhibit	VERB
ejpam-6517	623	13	a	a	DET
ejpam-6517	623	14	quicker	quick	ADJ
ejpam-6517	623	15	stabilization	stabilization	NOUN
ejpam-6517	623	16	and	and	CCONJ
ejpam-6517	623	17	a	a	DET
ejpam-6517	623	18	somewhat	somewhat	ADV
ejpam-6517	623	19	lower	low	ADJ
ejpam-6517	623	20	peak	peak	NOUN
ejpam-6517	623	21	.	.	PUNCT
ejpam-6517	624	1	8	8	X
ejpam-6517	624	2	.	.	PUNCT
ejpam-6517	625	1	the	the	DET
ejpam-6517	625	2	stochastic	stochastic	ADJ
ejpam-6517	625	3	form	form	NOUN
ejpam-6517	625	4	of	of	ADP
ejpam-6517	625	5	the	the	DET
ejpam-6517	625	6	model	model	NOUN
ejpam-6517	625	7	(	(	PUNCT
ejpam-6517	625	8	1	1	NUM
ejpam-6517	625	9	)	)	PUNCT
ejpam-6517	625	10	in	in	ADP
ejpam-6517	625	11	this	this	DET
ejpam-6517	625	12	section	section	NOUN
ejpam-6517	625	13	,	,	PUNCT
ejpam-6517	625	14	we	we	PRON
ejpam-6517	625	15	incorporate	incorporate	VERB
ejpam-6517	625	16	the	the	DET
ejpam-6517	625	17	effect	effect	NOUN
ejpam-6517	625	18	of	of	ADP
ejpam-6517	625	19	atmospheric	atmospheric	ADJ
ejpam-6517	625	20	white	white	ADJ
ejpam-6517	625	21	noise	noise	NOUN
ejpam-6517	625	22	by	by	ADP
ejpam-6517	625	23	transforming	transform	VERB
ejpam-6517	625	24	the	the	DET
ejpam-6517	625	25	original	original	ADJ
ejpam-6517	625	26	deterministic	deterministic	ADJ
ejpam-6517	625	27	eye	eye	NOUN
ejpam-6517	625	28	disease	disease	NOUN
ejpam-6517	625	29	system	system	NOUN
ejpam-6517	625	30	(	(	PUNCT
ejpam-6517	625	31	1	1	NUM
ejpam-6517	625	32	)	)	PUNCT
ejpam-6517	625	33	into	into	ADP
ejpam-6517	625	34	a	a	DET
ejpam-6517	625	35	stochastic	stochastic	ADJ
ejpam-6517	625	36	system	system	NOUN
ejpam-6517	625	37	,	,	PUNCT
ejpam-6517	625	38	as	as	SCONJ
ejpam-6517	625	39	described	describe	VERB
ejpam-6517	625	40	in	in	ADP
ejpam-6517	625	41	[	[	X
ejpam-6517	625	42	38	38	NUM
ejpam-6517	625	43	]	]	PUNCT
ejpam-6517	625	44	.	.	PUNCT
ejpam-6517	626	1	to	to	PART
ejpam-6517	626	2	achieve	achieve	VERB
ejpam-6517	626	3	this	this	PRON
ejpam-6517	626	4	,	,	PUNCT
ejpam-6517	626	5	nonlinear	nonlinear	ADJ
ejpam-6517	626	6	perturbations	perturbation	NOUN
ejpam-6517	626	7	are	be	AUX
ejpam-6517	626	8	introduced	introduce	VERB
ejpam-6517	626	9	into	into	ADP
ejpam-6517	626	10	each	each	DET
ejpam-6517	626	11	equation	equation	NOUN
ejpam-6517	626	12	of	of	ADP
ejpam-6517	626	13	the	the	DET
ejpam-6517	626	14	system	system	NOUN
ejpam-6517	626	15	.	.	PUNCT
ejpam-6517	627	1	specifically	specifically	ADV
ejpam-6517	627	2	,	,	PUNCT
ejpam-6517	627	3	the	the	DET
ejpam-6517	627	4	rate	rate	NOUN
ejpam-6517	627	5	of	of	ADP
ejpam-6517	627	6	change	change	NOUN
ejpam-6517	627	7	is	be	AUX
ejpam-6517	627	8	modified	modify	VERB
ejpam-6517	627	9	individually	individually	ADV
ejpam-6517	627	10	for	for	SCONJ
ejpam-6517	627	11	each	each	DET
ejpam-6517	627	12	compartment	compartment	NOUN
ejpam-6517	627	13	to	to	PART
ejpam-6517	627	14	reflect	reflect	VERB
ejpam-6517	627	15	the	the	DET
ejpam-6517	627	16	impact	impact	NOUN
ejpam-6517	627	17	of	of	ADP
ejpam-6517	627	18	stochastic	stochastic	ADJ
ejpam-6517	627	19	fluctuations	fluctuation	NOUN
ejpam-6517	627	20	within	within	ADP
ejpam-6517	627	21	that	that	DET
ejpam-6517	627	22	class	class	NOUN
ejpam-6517	627	23	.	.	PUNCT
ejpam-6517	628	1	s(t	s(t	PROPN
ejpam-6517	628	2	)	)	PUNCT
ejpam-6517	629	1	:	:	PUNCT
ejpam-6517	629	2	−c1	−c1	ADJ
ejpam-6517	629	3	−→	−→	NOUN
ejpam-6517	629	4	−β	−β	PROPN
ejpam-6517	629	5	+	+	CCONJ
ejpam-6517	629	6	(	(	PUNCT
ejpam-6517	629	7	φ11s+φ12)b1(t	φ11s+φ12)b1(t	ADV
ejpam-6517	629	8	)	)	PUNCT
ejpam-6517	629	9	,	,	PUNCT
ejpam-6517	629	10	v(t	v(t	NOUN
ejpam-6517	629	11	)	)	PUNCT
ejpam-6517	629	12	:	:	PUNCT
ejpam-6517	629	13	−c2	−c2	PROPN
ejpam-6517	629	14	−→	−→	PROPN
ejpam-6517	629	15	−µ+	−µ+	PROPN
ejpam-6517	629	16	(	(	PUNCT
ejpam-6517	629	17	φ21v+φ22)b2(t	φ21v+φ22)b2(t	NOUN
ejpam-6517	629	18	)	)	PUNCT
ejpam-6517	629	19	,	,	PUNCT
ejpam-6517	629	20	e(t	e(t	PROPN
ejpam-6517	629	21	)	)	PUNCT
ejpam-6517	629	22	:	:	PUNCT
ejpam-6517	629	23	−α	−α	NOUN
ejpam-6517	629	24	−→	−→	NOUN
ejpam-6517	629	25	−β	−β	PROPN
ejpam-6517	629	26	+	+	CCONJ
ejpam-6517	629	27	(	(	PUNCT
ejpam-6517	629	28	φ31e+φ32)b3(t	φ31e+φ32)b3(t	NUM
ejpam-6517	629	29	)	)	PUNCT
ejpam-6517	629	30	,	,	PUNCT
ejpam-6517	629	31	i(t	i(t	PROPN
ejpam-6517	629	32	)	)	PUNCT
ejpam-6517	629	33	:	:	PUNCT
ejpam-6517	630	1	−θ	−θ	ADV
ejpam-6517	630	2	−→	−→	PROPN
ejpam-6517	630	3	−µ+	−µ+	PROPN
ejpam-6517	630	4	(	(	PUNCT
ejpam-6517	630	5	φ41i+φ42)b4(t	φ41i+φ42)b4(t	PROPN
ejpam-6517	630	6	)	)	PUNCT
ejpam-6517	630	7	,	,	PUNCT
ejpam-6517	630	8	t(t	t(t	NOUN
ejpam-6517	630	9	)	)	PUNCT
ejpam-6517	630	10	:	:	PUNCT
ejpam-6517	630	11	−r2	−r2	PROPN
ejpam-6517	630	12	−→	−→	NOUN
ejpam-6517	630	13	−r	−r	PROPN
ejpam-6517	630	14	+	+	CCONJ
ejpam-6517	630	15	(	(	PUNCT
ejpam-6517	630	16	φ51t+φ52)b5(t	φ51t+φ52)b5(t	NOUN
ejpam-6517	630	17	)	)	PUNCT
ejpam-6517	630	18	,	,	PUNCT
ejpam-6517	630	19	r(t	r(t	NOUN
ejpam-6517	630	20	)	)	PUNCT
ejpam-6517	630	21	:	:	PUNCT
ejpam-6517	630	22	−µ0	−µ0	NOUN
ejpam-6517	630	23	−→	−→	ADJ
ejpam-6517	630	24	−d0	−d0	PROPN
ejpam-6517	630	25	+	+	CCONJ
ejpam-6517	630	26	(	(	PUNCT
ejpam-6517	630	27	φ61r+φ62)b6(t	φ61r+φ62)b6(t	ADJ
ejpam-6517	630	28	)	)	PUNCT
ejpam-6517	630	29	.	.	PUNCT
ejpam-6517	631	1	the	the	DET
ejpam-6517	631	2	following	follow	VERB
ejpam-6517	631	3	set	set	NOUN
ejpam-6517	631	4	of	of	ADP
ejpam-6517	631	5	equations	equation	NOUN
ejpam-6517	631	6	represents	represent	VERB
ejpam-6517	631	7	the	the	DET
ejpam-6517	631	8	stochastic	stochastic	ADJ
ejpam-6517	631	9	form	form	NOUN
ejpam-6517	631	10	of	of	ADP
ejpam-6517	631	11	system	system	NOUN
ejpam-6517	631	12	(	(	PUNCT
ejpam-6517	631	13	1	1	NUM
ejpam-6517	631	14	):	):	PUNCT
ejpam-6517	631	15	ds	ds	NOUN
ejpam-6517	631	16	=	=	SYM
ejpam-6517	631	17	[	[	X
ejpam-6517	631	18	b+	b+	X
ejpam-6517	631	19	c1v−	c1v−	VERB
ejpam-6517	631	20	ksi	ksi	PROPN
ejpam-6517	631	21	m	m	PROPN
ejpam-6517	631	22	−	−	PROPN
ejpam-6517	632	1	(	(	PUNCT
ejpam-6517	632	2	c2	c2	PROPN
ejpam-6517	632	3	+	+	CCONJ
ejpam-6517	632	4	µ0)s]dt+	µ0)s]dt+	X
ejpam-6517	632	5	(	(	PUNCT
ejpam-6517	632	6	φ11s+φ12)s	φ11s+φ12)s	PROPN
ejpam-6517	632	7	db1(t	db1(t	PROPN
ejpam-6517	632	8	)	)	PUNCT
ejpam-6517	632	9	,	,	PUNCT
ejpam-6517	632	10	dv	dv	PROPN
ejpam-6517	632	11	=	=	PUNCT
ejpam-6517	633	1	[	[	X
ejpam-6517	633	2	c2s−	c2s−	PROPN
ejpam-6517	633	3	(	(	PUNCT
ejpam-6517	633	4	c1	c1	NOUN
ejpam-6517	633	5	+	+	CCONJ
ejpam-6517	633	6	µ0)v]dt+	µ0)v]dt+	NOUN
ejpam-6517	633	7	(	(	PUNCT
ejpam-6517	633	8	φ21v+φ22)v	φ21v+φ22)v	PUNCT
ejpam-6517	633	9	db2(t	db2(t	PROPN
ejpam-6517	633	10	)	)	PUNCT
ejpam-6517	633	11	,	,	PUNCT
ejpam-6517	633	12	de	de	X
ejpam-6517	633	13	=	=	PUNCT
ejpam-6517	633	14	[	[	X
ejpam-6517	633	15	ksim	ksim	PROPN
ejpam-6517	633	16	−	−	PROPN
ejpam-6517	633	17	(	(	PUNCT
ejpam-6517	633	18	α+	α+	PUNCT
ejpam-6517	633	19	r1	r1	PROPN
ejpam-6517	633	20	+	+	CCONJ
ejpam-6517	633	21	µ0)e]dt+	µ0)e]dt+	ADP
ejpam-6517	633	22	(	(	PUNCT
ejpam-6517	633	23	φ31e+φ32)e	φ31e+φ32)e	ADV
ejpam-6517	633	24	db3(t	db3(t	PROPN
ejpam-6517	633	25	)	)	PUNCT
ejpam-6517	633	26	,	,	PUNCT
ejpam-6517	633	27	di	di	NOUN
ejpam-6517	633	28	=	=	PUNCT
ejpam-6517	634	1	[	[	X
ejpam-6517	634	2	αe−	αe−	X
ejpam-6517	634	3	(	(	PUNCT
ejpam-6517	634	4	θ	θ	NOUN
ejpam-6517	634	5	+	+	CCONJ
ejpam-6517	634	6	d1	d1	PROPN
ejpam-6517	634	7	+	+	CCONJ
ejpam-6517	634	8	µ0)i]dt+	µ0)i]dt+	NOUN
ejpam-6517	634	9	(	(	PUNCT
ejpam-6517	634	10	φ41i+φ42)i	φ41i+φ42)i	ADV
ejpam-6517	634	11	db4(t	db4(t	PROPN
ejpam-6517	634	12	)	)	PUNCT
ejpam-6517	634	13	,	,	PUNCT
ejpam-6517	634	14	dt	dt	NOUN
ejpam-6517	634	15	=	=	PUNCT
ejpam-6517	635	1	[	[	X
ejpam-6517	635	2	θi−	θi−	NOUN
ejpam-6517	635	3	(	(	PUNCT
ejpam-6517	635	4	r2	r2	PROPN
ejpam-6517	635	5	+	+	CCONJ
ejpam-6517	635	6	d2	d2	PROPN
ejpam-6517	635	7	+	+	CCONJ
ejpam-6517	635	8	µ0)t]dt+	µ0)t]dt+	NOUN
ejpam-6517	635	9	(	(	PUNCT
ejpam-6517	635	10	φ51t+φ52)t	φ51t+φ52)t	PROPN
ejpam-6517	635	11	db5(t	db5(t	PROPN
ejpam-6517	635	12	)	)	PUNCT
ejpam-6517	635	13	,	,	PUNCT
ejpam-6517	635	14	dr	dr	PROPN
ejpam-6517	635	15	=	=	PROPN
ejpam-6517	636	1	[	[	X
ejpam-6517	636	2	r2t+	r2t+	X
ejpam-6517	636	3	r1e−	r1e−	PROPN
ejpam-6517	636	4	µ0r]dt+	µ0r]dt+	PROPN
ejpam-6517	636	5	(	(	PUNCT
ejpam-6517	636	6	φ61r+φ62)r	φ61r+φ62)r	INTJ
ejpam-6517	636	7	db6(t	db6(t	PROPN
ejpam-6517	636	8	)	)	PUNCT
ejpam-6517	636	9	.	.	PUNCT
ejpam-6517	637	1	(	(	PUNCT
ejpam-6517	637	2	27	27	NUM
ejpam-6517	637	3	)	)	PUNCT
ejpam-6517	637	4	we	we	PRON
ejpam-6517	637	5	are	be	AUX
ejpam-6517	637	6	now	now	ADV
ejpam-6517	637	7	present	present	ADJ
ejpam-6517	637	8	the	the	DET
ejpam-6517	637	9	numerical	numerical	ADJ
ejpam-6517	637	10	simulation	simulation	NOUN
ejpam-6517	637	11	of	of	ADP
ejpam-6517	637	12	this	this	DET
ejpam-6517	637	13	stochastic	stochastic	ADJ
ejpam-6517	637	14	model	model	NOUN
ejpam-6517	637	15	in	in	ADP
ejpam-6517	637	16	the	the	DET
ejpam-6517	637	17	next	next	ADJ
ejpam-6517	637	18	section	section	NOUN
ejpam-6517	637	19	.	.	PUNCT
ejpam-6517	638	1	9	9	X
ejpam-6517	638	2	.	.	X
ejpam-6517	638	3	stochastic	stochastic	ADJ
ejpam-6517	638	4	model	model	NOUN
ejpam-6517	638	5	(	(	PUNCT
ejpam-6517	638	6	27	27	NUM
ejpam-6517	638	7	)	)	PUNCT
ejpam-6517	638	8	numerical	numerical	ADJ
ejpam-6517	638	9	analysis	analysis	NOUN
ejpam-6517	638	10	using	use	VERB
ejpam-6517	638	11	the	the	DET
ejpam-6517	638	12	euler	euler	NOUN
ejpam-6517	638	13	-	-	PUNCT
ejpam-6517	638	14	maruyama	maruyama	NOUN
ejpam-6517	638	15	approach	approach	NOUN
ejpam-6517	638	16	,	,	PUNCT
ejpam-6517	638	17	the	the	DET
ejpam-6517	638	18	trajectories	trajectory	NOUN
ejpam-6517	638	19	or	or	CCONJ
ejpam-6517	638	20	approximated	approximate	VERB
ejpam-6517	638	21	solutions	solution	NOUN
ejpam-6517	638	22	of	of	ADP
ejpam-6517	638	23	a	a	DET
ejpam-6517	638	24	stochastic	stochastic	ADJ
ejpam-6517	638	25	system	system	NOUN
ejpam-6517	638	26	problem	problem	NOUN
ejpam-6517	638	27	are	be	AUX
ejpam-6517	638	28	found	find	VERB
ejpam-6517	638	29	using	use	VERB
ejpam-6517	638	30	the	the	DET
ejpam-6517	638	31	following	follow	VERB
ejpam-6517	638	32	equation	equation	NOUN
ejpam-6517	638	33	:	:	PUNCT
ejpam-6517	638	34	χti+1	χti+1	PROPN
ejpam-6517	638	35	=	=	SYM
ejpam-6517	638	36	χti	χti	NOUN
ejpam-6517	638	37	+	+	NOUN
ejpam-6517	638	38	α(ti	α(ti	NOUN
ejpam-6517	638	39	,	,	PUNCT
ejpam-6517	638	40	χti	χti	NOUN
ejpam-6517	638	41	)	)	PUNCT
ejpam-6517	639	1	+	+	CCONJ
ejpam-6517	639	2	β(ti	β(ti	PROPN
ejpam-6517	639	3	,	,	PUNCT
ejpam-6517	639	4	χti)∆ai	χti)∆ai	NOUN
ejpam-6517	639	5	.	.	PUNCT
ejpam-6517	640	1	(	(	PUNCT
ejpam-6517	640	2	28	28	NUM
ejpam-6517	640	3	)	)	PUNCT
ejpam-6517	640	4	m.	m.	NOUN
ejpam-6517	640	5	mohiudin	mohiudin	PROPN
ejpam-6517	640	6	et	et	PROPN
ejpam-6517	640	7	al	al	PROPN
ejpam-6517	640	8	.	.	PUNCT
ejpam-6517	640	9	/	/	SYM
ejpam-6517	640	10	eur	eur	PROPN
ejpam-6517	640	11	.	.	PUNCT
ejpam-6517	641	1	j.	j.	PROPN
ejpam-6517	641	2	pure	pure	PROPN
ejpam-6517	641	3	appl	appl	PROPN
ejpam-6517	641	4	.	.	PROPN
ejpam-6517	641	5	math	math	PROPN
ejpam-6517	641	6	,	,	PUNCT
ejpam-6517	641	7	18	18	NUM
ejpam-6517	641	8	(	(	PUNCT
ejpam-6517	641	9	3	3	NUM
ejpam-6517	641	10	)	)	PUNCT
ejpam-6517	641	11	(	(	PUNCT
ejpam-6517	641	12	2025	2025	NUM
ejpam-6517	641	13	)	)	PUNCT
ejpam-6517	641	14	,	,	PUNCT
ejpam-6517	641	15	6517	6517	NUM
ejpam-6517	641	16	33	33	NUM
ejpam-6517	641	17	of	of	ADP
ejpam-6517	641	18	40	40	NUM
ejpam-6517	641	19	the	the	DET
ejpam-6517	641	20	case	case	NOUN
ejpam-6517	641	21	where	where	SCONJ
ejpam-6517	641	22	i	i	PRON
ejpam-6517	641	23	=	=	NOUN
ejpam-6517	641	24	0	0	NUM
ejpam-6517	641	25	,	,	PUNCT
ejpam-6517	641	26	1	1	NUM
ejpam-6517	641	27	,	,	PUNCT
ejpam-6517	641	28	...	...	PUNCT
ejpam-6517	641	29	,	,	PUNCT
ejpam-6517	641	30	n	n	CCONJ
ejpam-6517	641	31	−	−	PROPN
ejpam-6517	641	32	1	1	X
ejpam-6517	641	33	.	.	PUNCT
ejpam-6517	642	1	comprehending	comprehend	VERB
ejpam-6517	642	2	the	the	DET
ejpam-6517	642	3	computation	computation	NOUN
ejpam-6517	642	4	of	of	ADP
ejpam-6517	642	5	∆ai	∆ai	NOUN
ejpam-6517	642	6	is	be	AUX
ejpam-6517	642	7	necessary	necessary	ADJ
ejpam-6517	642	8	for	for	ADP
ejpam-6517	642	9	the	the	DET
ejpam-6517	642	10	computational	computational	ADJ
ejpam-6517	642	11	implementation	implementation	NOUN
ejpam-6517	642	12	of	of	ADP
ejpam-6517	642	13	the	the	DET
ejpam-6517	642	14	process	process	NOUN
ejpam-6517	642	15	.	.	PUNCT
ejpam-6517	643	1	instances	instance	NOUN
ejpam-6517	643	2	in	in	ADP
ejpam-6517	643	3	which	which	PRON
ejpam-6517	643	4	i	i	PRON
ejpam-6517	643	5	=	=	NOUN
ejpam-6517	643	6	0	0	NUM
ejpam-6517	643	7	,	,	PUNCT
ejpam-6517	643	8	1	1	NUM
ejpam-6517	643	9	,	,	PUNCT
ejpam-6517	643	10	...	...	PUNCT
ejpam-6517	643	11	,	,	PUNCT
ejpam-6517	643	12	n−1	n−1	PROPN
ejpam-6517	643	13	.	.	PUNCT
ejpam-6517	644	1	the	the	DET
ejpam-6517	644	2	computer	computer	NOUN
ejpam-6517	644	3	implementation	implementation	NOUN
ejpam-6517	644	4	of	of	ADP
ejpam-6517	644	5	the	the	DET
ejpam-6517	644	6	procedure	procedure	NOUN
ejpam-6517	644	7	requires	require	VERB
ejpam-6517	644	8	an	an	DET
ejpam-6517	644	9	understanding	understanding	NOUN
ejpam-6517	644	10	of	of	ADP
ejpam-6517	644	11	how	how	SCONJ
ejpam-6517	644	12	to	to	PART
ejpam-6517	644	13	compute	compute	VERB
ejpam-6517	644	14	of	of	ADP
ejpam-6517	644	15	∆ai	∆ai	NOUN
ejpam-6517	644	16	.	.	PUNCT
ejpam-6517	645	1	suppose	suppose	VERB
ejpam-6517	645	2	that	that	SCONJ
ejpam-6517	645	3	η	η	PROPN
ejpam-6517	645	4	is	be	AUX
ejpam-6517	645	5	a	a	DET
ejpam-6517	645	6	random	random	ADJ
ejpam-6517	645	7	variable	variable	NOUN
ejpam-6517	645	8	with	with	ADP
ejpam-6517	645	9	an	an	DET
ejpam-6517	645	10	average	average	ADJ
ejpam-6517	645	11	η	η	NOUN
ejpam-6517	645	12	∼	∼	NOUN
ejpam-6517	645	13	m(0	m(0	NOUN
ejpam-6517	645	14	,	,	PUNCT
ejpam-6517	645	15	1	1	NUM
ejpam-6517	645	16	)	)	PUNCT
ejpam-6517	645	17	.	.	PUNCT
ejpam-6517	646	1	a	a	DET
ejpam-6517	646	2	normal	normal	ADJ
ejpam-6517	646	3	distribution	distribution	NOUN
ejpam-6517	646	4	is	be	AUX
ejpam-6517	646	5	thus	thus	ADV
ejpam-6517	646	6	indicated	indicate	VERB
ejpam-6517	646	7	by	by	ADP
ejpam-6517	646	8	√	√	PROPN
ejpam-6517	646	9	∆tη1	∆tη1	PROPN
ejpam-6517	646	10	with	with	ADP
ejpam-6517	646	11	zero	zero	NUM
ejpam-6517	646	12	mean	mean	NOUN
ejpam-6517	646	13	and	and	CCONJ
ejpam-6517	646	14	variance	variance	NOUN
ejpam-6517	646	15	∆t	∆t	PROPN
ejpam-6517	646	16	,	,	PUNCT
ejpam-6517	646	17	that	that	SCONJ
ejpam-6517	646	18	is,√	is,√	PROPN
ejpam-6517	646	19	∆tη1	∆tη1	NUM
ejpam-6517	646	20	∼	∼	NOUN
ejpam-6517	646	21	m(0,∆t	m(0,∆t	NOUN
ejpam-6517	646	22	)	)	PUNCT
ejpam-6517	646	23	.	.	PUNCT
ejpam-6517	647	1	the	the	DET
ejpam-6517	647	2	system	system	NOUN
ejpam-6517	647	3	of	of	ADP
ejpam-6517	647	4	dynamic	dynamic	ADJ
ejpam-6517	647	5	differential	differential	ADJ
ejpam-6517	647	6	equations	equation	NOUN
ejpam-6517	647	7	(	(	PUNCT
ejpam-6517	647	8	27	27	NUM
ejpam-6517	647	9	)	)	PUNCT
ejpam-6517	647	10	must	must	AUX
ejpam-6517	647	11	be	be	AUX
ejpam-6517	647	12	appropriately	appropriately	ADV
ejpam-6517	647	13	separated	separate	VERB
ejpam-6517	647	14	for	for	ADP
ejpam-6517	647	15	our	our	PRON
ejpam-6517	647	16	suggested	suggest	VERB
ejpam-6517	647	17	model	model	NOUN
ejpam-6517	647	18	in	in	ADP
ejpam-6517	647	19	order	order	NOUN
ejpam-6517	647	20	to	to	PART
ejpam-6517	647	21	apply	apply	VERB
ejpam-6517	647	22	the	the	DET
ejpam-6517	647	23	euler	euler	NOUN
ejpam-6517	647	24	-	-	PUNCT
ejpam-6517	647	25	maruyama	maruyama	NOUN
ejpam-6517	647	26	approach	approach	NOUN
ejpam-6517	647	27	method	method	NOUN
ejpam-6517	647	28	similarly	similarly	ADV
ejpam-6517	647	29	(	(	PUNCT
ejpam-6517	647	30	28	28	NUM
ejpam-6517	647	31	)	)	PUNCT
ejpam-6517	647	32	.	.	PUNCT
ejpam-6517	648	1	this	this	PRON
ejpam-6517	648	2	can	can	AUX
ejpam-6517	648	3	be	be	AUX
ejpam-6517	648	4	done	do	VERB
ejpam-6517	648	5	by	by	ADP
ejpam-6517	648	6	sti+1	sti+1	X
ejpam-6517	648	7	=	=	SYM
ejpam-6517	648	8	sti	sti	PROPN
ejpam-6517	648	9	+	+	CCONJ
ejpam-6517	648	10	[	[	PUNCT
ejpam-6517	648	11	b+	b+	X
ejpam-6517	648	12	c1v−	c1v−	VERB
ejpam-6517	648	13	ksi	ksi	PROPN
ejpam-6517	648	14	m	m	PROPN
ejpam-6517	648	15	−	−	PROPN
ejpam-6517	649	1	(	(	PUNCT
ejpam-6517	649	2	c2	c2	PROPN
ejpam-6517	649	3	+	+	CCONJ
ejpam-6517	649	4	µ0)s	µ0)s	ADJ
ejpam-6517	649	5	]	]	PUNCT
ejpam-6517	649	6	∆t+	∆t+	NOUN
ejpam-6517	649	7	√	√	NUM
ejpam-6517	649	8	∆tη1	∆tη1	NUM
ejpam-6517	649	9	,	,	PUNCT
ejpam-6517	649	10	vti+1	vti+1	NOUN
ejpam-6517	649	11	=	=	NOUN
ejpam-6517	649	12	vti	vti	NOUN
ejpam-6517	649	13	+	+	CCONJ
ejpam-6517	650	1	[	[	X
ejpam-6517	650	2	c2s−	c2s−	NOUN
ejpam-6517	650	3	(	(	PUNCT
ejpam-6517	650	4	c1	c1	PROPN
ejpam-6517	650	5	+	+	CCONJ
ejpam-6517	650	6	µ0)v	µ0)v	PROPN
ejpam-6517	650	7	]	]	PUNCT
ejpam-6517	650	8	∆t+	∆t+	NOUN
ejpam-6517	650	9	√	√	PROPN
ejpam-6517	650	10	∆tη2	∆tη2	NUM
ejpam-6517	650	11	,	,	PUNCT
ejpam-6517	650	12	eti+1	eti+1	X
ejpam-6517	650	13	=	=	SYM
ejpam-6517	650	14	eti	eti	X
ejpam-6517	650	15	+	+	X
ejpam-6517	650	16	[	[	PUNCT
ejpam-6517	650	17	ksi	ksi	X
ejpam-6517	650	18	m	m	PROPN
ejpam-6517	650	19	−	−	PROPN
ejpam-6517	650	20	(	(	PUNCT
ejpam-6517	650	21	α+	α+	PUNCT
ejpam-6517	650	22	r1	r1	NOUN
ejpam-6517	650	23	+	+	CCONJ
ejpam-6517	650	24	µ0)e	µ0)e	NOUN
ejpam-6517	650	25	]	]	PUNCT
ejpam-6517	650	26	∆t+	∆t+	NOUN
ejpam-6517	650	27	√	√	NUM
ejpam-6517	650	28	∆tη3	∆tη3	NUM
ejpam-6517	650	29	,	,	PUNCT
ejpam-6517	650	30	iti+1	iti+1	NOUN
ejpam-6517	650	31	=	=	PROPN
ejpam-6517	650	32	iti	iti	PROPN
ejpam-6517	650	33	+	+	X
ejpam-6517	651	1	[	[	X
ejpam-6517	651	2	αe−	αe−	X
ejpam-6517	651	3	(	(	PUNCT
ejpam-6517	651	4	θ	θ	NOUN
ejpam-6517	651	5	+	+	CCONJ
ejpam-6517	651	6	d1	d1	PROPN
ejpam-6517	651	7	+	+	CCONJ
ejpam-6517	651	8	µ0)i	µ0)i	ADJ
ejpam-6517	651	9	]	]	PUNCT
ejpam-6517	651	10	∆t+	∆t+	NOUN
ejpam-6517	651	11	√	√	NUM
ejpam-6517	651	12	∆tη4	∆tη4	PROPN
ejpam-6517	651	13	,	,	PUNCT
ejpam-6517	651	14	tti+1	tti+1	PRON
ejpam-6517	651	15	=	=	SYM
ejpam-6517	651	16	tti	tti	PROPN
ejpam-6517	651	17	+	+	X
ejpam-6517	652	1	[	[	X
ejpam-6517	652	2	θi−	θi−	NOUN
ejpam-6517	652	3	(	(	PUNCT
ejpam-6517	652	4	r2	r2	PROPN
ejpam-6517	652	5	+	+	CCONJ
ejpam-6517	652	6	d2	d2	PROPN
ejpam-6517	652	7	+	+	CCONJ
ejpam-6517	652	8	µ0)t]∆t+	µ0)t]∆t+	PROPN
ejpam-6517	652	9	√	√	NUM
ejpam-6517	652	10	∆tη5	∆tη5	PROPN
ejpam-6517	652	11	,	,	PUNCT
ejpam-6517	652	12	rti+1	rti+1	NOUN
ejpam-6517	652	13	=	=	SYM
ejpam-6517	652	14	rti	rti	PROPN
ejpam-6517	652	15	+	+	X
ejpam-6517	653	1	[	[	X
ejpam-6517	653	2	r2t+	r2t+	X
ejpam-6517	653	3	r1e−	r1e−	VERB
ejpam-6517	653	4	µ0r]∆t+	µ0r]∆t+	ADV
ejpam-6517	653	5	√	√	ADV
ejpam-6517	653	6	∆tη6	∆tη6	NUM
ejpam-6517	653	7	.	.	PUNCT
ejpam-6517	654	1	(	(	PUNCT
ejpam-6517	654	2	29	29	NUM
ejpam-6517	654	3	)	)	PUNCT
ejpam-6517	654	4	using	use	VERB
ejpam-6517	654	5	this	this	DET
ejpam-6517	654	6	numerical	numerical	ADJ
ejpam-6517	654	7	scheme	scheme	NOUN
ejpam-6517	654	8	,	,	PUNCT
ejpam-6517	654	9	we	we	PRON
ejpam-6517	654	10	compare	compare	VERB
ejpam-6517	654	11	with	with	ADP
ejpam-6517	654	12	nsfd	nsfd	ADJ
ejpam-6517	654	13	scheme	scheme	NOUN
ejpam-6517	654	14	in	in	ADP
ejpam-6517	654	15	next	next	ADJ
ejpam-6517	654	16	figures	figure	NOUN
ejpam-6517	654	17	.	.	PUNCT
ejpam-6517	655	1	time	time	NOUN
ejpam-6517	655	2	(	(	PUNCT
ejpam-6517	655	3	days	day	NOUN
ejpam-6517	655	4	)	)	PUNCT
ejpam-6517	655	5	0	0	NUM
ejpam-6517	655	6	10	10	NUM
ejpam-6517	655	7	20	20	NUM
ejpam-6517	655	8	30	30	NUM
ejpam-6517	655	9	40	40	NUM
ejpam-6517	655	10	50	50	NUM
ejpam-6517	655	11	60	60	NUM
ejpam-6517	655	12	s	s	NOUN
ejpam-6517	655	13	u	u	NOUN
ejpam-6517	655	14	s	s	PRON
ejpam-6517	655	15	c	c	NOUN
ejpam-6517	655	16	e	e	NOUN
ejpam-6517	655	17	p	p	X
ejpam-6517	655	18	ti	ti	PROPN
ejpam-6517	655	19	b	b	PROPN
ejpam-6517	655	20	le	le	X
ejpam-6517	655	21	0	0	NUM
ejpam-6517	655	22	20	20	NUM
ejpam-6517	655	23	40	40	NUM
ejpam-6517	655	24	60	60	NUM
ejpam-6517	655	25	80	80	NUM
ejpam-6517	655	26	100	100	NUM
ejpam-6517	655	27	120	120	NUM
ejpam-6517	655	28	140	140	NUM
ejpam-6517	655	29	160	160	NUM
ejpam-6517	655	30	180	180	NUM
ejpam-6517	655	31	200	200	NUM
ejpam-6517	655	32	stochastic	stochastic	ADJ
ejpam-6517	655	33	deterministic	deterministic	ADJ
ejpam-6517	655	34	figure	figure	NOUN
ejpam-6517	655	35	15	15	NUM
ejpam-6517	655	36	:	:	PUNCT
ejpam-6517	655	37	comparison	comparison	NOUN
ejpam-6517	655	38	of	of	ADP
ejpam-6517	655	39	stochastic	stochastic	ADJ
ejpam-6517	655	40	and	and	CCONJ
ejpam-6517	655	41	deterministic	deterministic	ADJ
ejpam-6517	655	42	model	model	NOUN
ejpam-6517	655	43	(	(	PUNCT
ejpam-6517	655	44	1	1	NUM
ejpam-6517	655	45	)	)	PUNCT
ejpam-6517	655	46	susceptible	susceptible	ADJ
ejpam-6517	655	47	compartment	compartment	NOUN
ejpam-6517	655	48	s.	s.	PROPN
ejpam-6517	655	49	m.	m.	PROPN
ejpam-6517	655	50	mohiudin	mohiudin	PROPN
ejpam-6517	655	51	et	et	PROPN
ejpam-6517	655	52	al	al	PROPN
ejpam-6517	655	53	.	.	PUNCT
ejpam-6517	655	54	/	/	SYM
ejpam-6517	655	55	eur	eur	PROPN
ejpam-6517	655	56	.	.	PUNCT
ejpam-6517	656	1	j.	j.	PROPN
ejpam-6517	656	2	pure	pure	PROPN
ejpam-6517	656	3	appl	appl	PROPN
ejpam-6517	656	4	.	.	PROPN
ejpam-6517	656	5	math	math	PROPN
ejpam-6517	656	6	,	,	PUNCT
ejpam-6517	656	7	18	18	NUM
ejpam-6517	656	8	(	(	PUNCT
ejpam-6517	656	9	3	3	NUM
ejpam-6517	656	10	)	)	PUNCT
ejpam-6517	656	11	(	(	PUNCT
ejpam-6517	656	12	2025	2025	NUM
ejpam-6517	656	13	)	)	PUNCT
ejpam-6517	656	14	,	,	PUNCT
ejpam-6517	656	15	6517	6517	NUM
ejpam-6517	656	16	34	34	NUM
ejpam-6517	656	17	of	of	ADP
ejpam-6517	656	18	40	40	NUM
ejpam-6517	656	19	time	time	NOUN
ejpam-6517	656	20	(	(	PUNCT
ejpam-6517	656	21	days	day	NOUN
ejpam-6517	656	22	)	)	PUNCT
ejpam-6517	656	23	0	0	NUM
ejpam-6517	657	1	10	10	NUM
ejpam-6517	657	2	20	20	NUM
ejpam-6517	657	3	30	30	NUM
ejpam-6517	657	4	40	40	NUM
ejpam-6517	657	5	50	50	NUM
ejpam-6517	657	6	60	60	NUM
ejpam-6517	657	7	v	v	NOUN
ejpam-6517	657	8	a	a	DET
ejpam-6517	657	9	c	c	NOUN
ejpam-6517	657	10	c	c	NOUN
ejpam-6517	657	11	in	in	ADP
ejpam-6517	657	12	a	a	DET
ejpam-6517	657	13	te	te	X
ejpam-6517	657	14	d	d	NOUN
ejpam-6517	657	15	0	0	NUM
ejpam-6517	657	16	10	10	NUM
ejpam-6517	657	17	20	20	NUM
ejpam-6517	657	18	30	30	NUM
ejpam-6517	657	19	40	40	NUM
ejpam-6517	657	20	50	50	NUM
ejpam-6517	657	21	60	60	NUM
ejpam-6517	657	22	70	70	NUM
ejpam-6517	657	23	80	80	NUM
ejpam-6517	657	24	90	90	NUM
ejpam-6517	657	25	100	100	NUM
ejpam-6517	657	26	stochastic	stochastic	ADJ
ejpam-6517	657	27	deterministic	deterministic	ADJ
ejpam-6517	657	28	figure	figure	NOUN
ejpam-6517	657	29	16	16	NUM
ejpam-6517	657	30	:	:	PUNCT
ejpam-6517	657	31	comparison	comparison	NOUN
ejpam-6517	657	32	of	of	ADP
ejpam-6517	657	33	stochastic	stochastic	ADJ
ejpam-6517	657	34	and	and	CCONJ
ejpam-6517	657	35	deterministic	deterministic	ADJ
ejpam-6517	657	36	model	model	NOUN
ejpam-6517	657	37	(	(	PUNCT
ejpam-6517	657	38	1	1	NUM
ejpam-6517	657	39	)	)	PUNCT
ejpam-6517	657	40	vaccination	vaccination	NOUN
ejpam-6517	657	41	compartment	compartment	NOUN
ejpam-6517	657	42	v.	v.	ADP
ejpam-6517	657	43	time	time	NOUN
ejpam-6517	657	44	(	(	PUNCT
ejpam-6517	657	45	days	day	NOUN
ejpam-6517	657	46	)	)	PUNCT
ejpam-6517	657	47	0	0	NUM
ejpam-6517	658	1	10	10	NUM
ejpam-6517	658	2	20	20	NUM
ejpam-6517	658	3	30	30	NUM
ejpam-6517	658	4	40	40	NUM
ejpam-6517	658	5	50	50	NUM
ejpam-6517	658	6	60	60	NUM
ejpam-6517	658	7	e	e	NOUN
ejpam-6517	658	8	x	x	X
ejpam-6517	658	9	p	p	NOUN
ejpam-6517	658	10	o	o	X
ejpam-6517	658	11	s	s	X
ejpam-6517	658	12	e	e	X
ejpam-6517	658	13	d	d	X
ejpam-6517	658	14	0	0	NUM
ejpam-6517	658	15	5	5	NUM
ejpam-6517	658	16	10	10	NUM
ejpam-6517	658	17	15	15	NUM
ejpam-6517	658	18	20	20	NUM
ejpam-6517	658	19	25	25	NUM
ejpam-6517	658	20	30	30	NUM
ejpam-6517	658	21	35	35	NUM
ejpam-6517	658	22	40	40	NUM
ejpam-6517	658	23	45	45	NUM
ejpam-6517	658	24	50	50	NUM
ejpam-6517	658	25	stochastic	stochastic	ADJ
ejpam-6517	658	26	deterministic	deterministic	ADJ
ejpam-6517	658	27	figure	figure	NOUN
ejpam-6517	658	28	17	17	NUM
ejpam-6517	658	29	:	:	PUNCT
ejpam-6517	658	30	comparison	comparison	NOUN
ejpam-6517	658	31	of	of	ADP
ejpam-6517	658	32	stochastic	stochastic	ADJ
ejpam-6517	658	33	and	and	CCONJ
ejpam-6517	658	34	deterministic	deterministic	ADJ
ejpam-6517	658	35	model	model	NOUN
ejpam-6517	658	36	(	(	PUNCT
ejpam-6517	658	37	1	1	NUM
ejpam-6517	658	38	)	)	PUNCT
ejpam-6517	658	39	exposed	expose	VERB
ejpam-6517	658	40	compartment	compartment	NOUN
ejpam-6517	658	41	e.	e.	PROPN
ejpam-6517	658	42	m.	m.	PROPN
ejpam-6517	658	43	mohiudin	mohiudin	PROPN
ejpam-6517	658	44	et	et	PROPN
ejpam-6517	658	45	al	al	PROPN
ejpam-6517	658	46	.	.	PUNCT
ejpam-6517	658	47	/	/	SYM
ejpam-6517	658	48	eur	eur	PROPN
ejpam-6517	658	49	.	.	PUNCT
ejpam-6517	659	1	j.	j.	PROPN
ejpam-6517	659	2	pure	pure	PROPN
ejpam-6517	659	3	appl	appl	PROPN
ejpam-6517	659	4	.	.	PROPN
ejpam-6517	659	5	math	math	PROPN
ejpam-6517	659	6	,	,	PUNCT
ejpam-6517	659	7	18	18	NUM
ejpam-6517	659	8	(	(	PUNCT
ejpam-6517	659	9	3	3	NUM
ejpam-6517	659	10	)	)	PUNCT
ejpam-6517	659	11	(	(	PUNCT
ejpam-6517	659	12	2025	2025	NUM
ejpam-6517	659	13	)	)	PUNCT
ejpam-6517	659	14	,	,	PUNCT
ejpam-6517	659	15	6517	6517	NUM
ejpam-6517	659	16	35	35	NUM
ejpam-6517	659	17	of	of	ADP
ejpam-6517	659	18	40	40	NUM
ejpam-6517	659	19	time	time	NOUN
ejpam-6517	659	20	(	(	PUNCT
ejpam-6517	659	21	days	day	NOUN
ejpam-6517	659	22	)	)	PUNCT
ejpam-6517	659	23	0	0	NUM
ejpam-6517	660	1	10	10	NUM
ejpam-6517	660	2	20	20	NUM
ejpam-6517	660	3	30	30	NUM
ejpam-6517	660	4	40	40	NUM
ejpam-6517	660	5	50	50	NUM
ejpam-6517	660	6	60	60	NUM
ejpam-6517	660	7	in	in	ADP
ejpam-6517	660	8	fe	fe	X
ejpam-6517	660	9	c	c	X
ejpam-6517	660	10	te	te	PROPN
ejpam-6517	660	11	d	d	X
ejpam-6517	660	12	0	0	NUM
ejpam-6517	660	13	5	5	NUM
ejpam-6517	660	14	10	10	NUM
ejpam-6517	660	15	15	15	NUM
ejpam-6517	660	16	20	20	NUM
ejpam-6517	660	17	25	25	NUM
ejpam-6517	660	18	30	30	NUM
ejpam-6517	660	19	35	35	NUM
ejpam-6517	660	20	40	40	NUM
ejpam-6517	660	21	45	45	NUM
ejpam-6517	660	22	50	50	NUM
ejpam-6517	660	23	stochastic	stochastic	ADJ
ejpam-6517	660	24	deterministic	deterministic	ADJ
ejpam-6517	660	25	figure	figure	NOUN
ejpam-6517	660	26	18	18	NUM
ejpam-6517	660	27	:	:	PUNCT
ejpam-6517	660	28	comparison	comparison	NOUN
ejpam-6517	660	29	of	of	ADP
ejpam-6517	660	30	stochastic	stochastic	ADJ
ejpam-6517	660	31	and	and	CCONJ
ejpam-6517	660	32	deterministic	deterministic	ADJ
ejpam-6517	660	33	model	model	NOUN
ejpam-6517	660	34	(	(	PUNCT
ejpam-6517	660	35	1	1	X
ejpam-6517	660	36	)	)	PUNCT
ejpam-6517	660	37	infected	infected	ADJ
ejpam-6517	660	38	compartment	compartment	NOUN
ejpam-6517	660	39	i.	i.	NOUN
ejpam-6517	660	40	time	time	NOUN
ejpam-6517	660	41	(	(	PUNCT
ejpam-6517	660	42	days	day	NOUN
ejpam-6517	660	43	)	)	PUNCT
ejpam-6517	660	44	0	0	NUM
ejpam-6517	661	1	10	10	NUM
ejpam-6517	661	2	20	20	NUM
ejpam-6517	661	3	30	30	NUM
ejpam-6517	661	4	40	40	NUM
ejpam-6517	661	5	50	50	NUM
ejpam-6517	661	6	60	60	NUM
ejpam-6517	661	7	t	t	NOUN
ejpam-6517	661	8	re	re	VERB
ejpam-6517	661	9	a	a	DET
ejpam-6517	661	10	te	te	X
ejpam-6517	661	11	d	d	NOUN
ejpam-6517	661	12	0	0	NUM
ejpam-6517	661	13	5	5	NUM
ejpam-6517	661	14	10	10	NUM
ejpam-6517	661	15	15	15	NUM
ejpam-6517	661	16	20	20	NUM
ejpam-6517	661	17	25	25	NUM
ejpam-6517	661	18	30	30	NUM
ejpam-6517	661	19	stochastic	stochastic	ADJ
ejpam-6517	661	20	deterministic	deterministic	ADJ
ejpam-6517	661	21	figure	figure	NOUN
ejpam-6517	661	22	19	19	NUM
ejpam-6517	661	23	:	:	PUNCT
ejpam-6517	661	24	comparison	comparison	NOUN
ejpam-6517	661	25	of	of	ADP
ejpam-6517	661	26	stochastic	stochastic	ADJ
ejpam-6517	661	27	and	and	CCONJ
ejpam-6517	661	28	deterministic	deterministic	ADJ
ejpam-6517	661	29	model	model	NOUN
ejpam-6517	661	30	(	(	PUNCT
ejpam-6517	661	31	1	1	NUM
ejpam-6517	661	32	)	)	PUNCT
ejpam-6517	661	33	treatment	treatment	NOUN
ejpam-6517	661	34	compartment	compartment	NOUN
ejpam-6517	661	35	t.	t.	NOUN
ejpam-6517	661	36	m.	m.	NOUN
ejpam-6517	661	37	mohiudin	mohiudin	PROPN
ejpam-6517	661	38	et	et	PROPN
ejpam-6517	661	39	al	al	PROPN
ejpam-6517	661	40	.	.	PUNCT
ejpam-6517	661	41	/	/	SYM
ejpam-6517	661	42	eur	eur	PROPN
ejpam-6517	661	43	.	.	PUNCT
ejpam-6517	662	1	j.	j.	PROPN
ejpam-6517	662	2	pure	pure	PROPN
ejpam-6517	662	3	appl	appl	PROPN
ejpam-6517	662	4	.	.	PROPN
ejpam-6517	662	5	math	math	PROPN
ejpam-6517	662	6	,	,	PUNCT
ejpam-6517	662	7	18	18	NUM
ejpam-6517	662	8	(	(	PUNCT
ejpam-6517	662	9	3	3	NUM
ejpam-6517	662	10	)	)	PUNCT
ejpam-6517	662	11	(	(	PUNCT
ejpam-6517	662	12	2025	2025	NUM
ejpam-6517	662	13	)	)	PUNCT
ejpam-6517	662	14	,	,	PUNCT
ejpam-6517	662	15	6517	6517	NUM
ejpam-6517	662	16	36	36	NUM
ejpam-6517	662	17	of	of	ADP
ejpam-6517	662	18	40	40	NUM
ejpam-6517	662	19	time	time	NOUN
ejpam-6517	662	20	(	(	PUNCT
ejpam-6517	662	21	days	day	NOUN
ejpam-6517	662	22	)	)	PUNCT
ejpam-6517	662	23	0	0	NUM
ejpam-6517	663	1	10	10	NUM
ejpam-6517	663	2	20	20	NUM
ejpam-6517	663	3	30	30	NUM
ejpam-6517	663	4	40	40	NUM
ejpam-6517	663	5	50	50	NUM
ejpam-6517	663	6	60	60	NUM
ejpam-6517	663	7	r	r	NOUN
ejpam-6517	663	8	e	e	NOUN
ejpam-6517	663	9	c	c	NOUN
ejpam-6517	663	10	o	o	X
ejpam-6517	663	11	v	v	X
ejpam-6517	663	12	e	e	X
ejpam-6517	663	13	re	re	NOUN
ejpam-6517	663	14	d	d	PROPN
ejpam-6517	663	15	0	0	NUM
ejpam-6517	663	16	10	10	NUM
ejpam-6517	663	17	20	20	NUM
ejpam-6517	663	18	30	30	NUM
ejpam-6517	663	19	40	40	NUM
ejpam-6517	663	20	50	50	NUM
ejpam-6517	663	21	60	60	NUM
ejpam-6517	663	22	70	70	NUM
ejpam-6517	663	23	80	80	NUM
ejpam-6517	663	24	90	90	NUM
ejpam-6517	663	25	100	100	NUM
ejpam-6517	663	26	stochastic	stochastic	ADJ
ejpam-6517	663	27	deterministic	deterministic	ADJ
ejpam-6517	663	28	figure	figure	NOUN
ejpam-6517	663	29	20	20	NUM
ejpam-6517	663	30	:	:	PUNCT
ejpam-6517	663	31	comparison	comparison	NOUN
ejpam-6517	663	32	of	of	ADP
ejpam-6517	663	33	stochastic	stochastic	ADJ
ejpam-6517	663	34	and	and	CCONJ
ejpam-6517	663	35	deterministic	deterministic	ADJ
ejpam-6517	663	36	model	model	NOUN
ejpam-6517	663	37	(	(	PUNCT
ejpam-6517	663	38	1	1	NUM
ejpam-6517	663	39	)	)	PUNCT
ejpam-6517	663	40	recovered	recover	VERB
ejpam-6517	663	41	compartment	compartment	NOUN
ejpam-6517	663	42	r.	r.	PROPN
ejpam-6517	663	43	10	10	NUM
ejpam-6517	663	44	.	.	PUNCT
ejpam-6517	664	1	conclusion	conclusion	NOUN
ejpam-6517	664	2	this	this	DET
ejpam-6517	664	3	paper	paper	NOUN
ejpam-6517	664	4	develops	develop	VERB
ejpam-6517	664	5	an	an	DET
ejpam-6517	664	6	sv	sv	PROPN
ejpam-6517	664	7	eitr	eitr	PROPN
ejpam-6517	664	8	epidemiological	epidemiological	ADJ
ejpam-6517	664	9	model	model	NOUN
ejpam-6517	664	10	to	to	PART
ejpam-6517	664	11	investigate	investigate	VERB
ejpam-6517	664	12	the	the	DET
ejpam-6517	664	13	dynamic	dynamic	ADJ
ejpam-6517	664	14	movements	movement	NOUN
ejpam-6517	664	15	of	of	ADP
ejpam-6517	664	16	a	a	DET
ejpam-6517	664	17	novel	novel	NOUN
ejpam-6517	664	18	of	of	ADP
ejpam-6517	664	19	measles	measle	NOUN
ejpam-6517	664	20	.	.	PUNCT
ejpam-6517	665	1	by	by	ADP
ejpam-6517	665	2	demonstrating	demonstrate	VERB
ejpam-6517	665	3	the	the	DET
ejpam-6517	665	4	uniqueness	uniqueness	NOUN
ejpam-6517	665	5	and	and	CCONJ
ejpam-6517	665	6	existences	existence	NOUN
ejpam-6517	665	7	of	of	ADP
ejpam-6517	665	8	a	a	DET
ejpam-6517	665	9	positively	positively	ADV
ejpam-6517	665	10	boundness	boundness	NOUN
ejpam-6517	665	11	of	of	ADP
ejpam-6517	665	12	solution	solution	NOUN
ejpam-6517	665	13	,	,	PUNCT
ejpam-6517	665	14	we	we	PRON
ejpam-6517	665	15	were	be	AUX
ejpam-6517	665	16	able	able	ADJ
ejpam-6517	665	17	to	to	PART
ejpam-6517	665	18	demonstrate	demonstrate	VERB
ejpam-6517	665	19	the	the	DET
ejpam-6517	665	20	dynamical	dynamical	ADJ
ejpam-6517	665	21	system	system	NOUN
ejpam-6517	665	22	’s	’s	PART
ejpam-6517	665	23	epidemiological	epidemiological	ADJ
ejpam-6517	665	24	significance	significance	NOUN
ejpam-6517	665	25	and	and	CCONJ
ejpam-6517	665	26	establish	establish	VERB
ejpam-6517	665	27	the	the	DET
ejpam-6517	665	28	problem	problem	NOUN
ejpam-6517	665	29	’s	’s	PART
ejpam-6517	665	30	well	well	ADV
ejpam-6517	665	31	-	-	PUNCT
ejpam-6517	665	32	posedness	posedness	NOUN
ejpam-6517	665	33	.	.	PUNCT
ejpam-6517	666	1	the	the	DET
ejpam-6517	666	2	dynamic	dynamic	ADJ
ejpam-6517	666	3	behavior	behavior	NOUN
ejpam-6517	666	4	of	of	ADP
ejpam-6517	666	5	the	the	DET
ejpam-6517	666	6	suggested	suggest	VERB
ejpam-6517	666	7	model	model	NOUN
ejpam-6517	666	8	at	at	ADP
ejpam-6517	666	9	its	its	PRON
ejpam-6517	666	10	equilibrium	equilibrium	NOUN
ejpam-6517	666	11	states	state	NOUN
ejpam-6517	666	12	was	be	AUX
ejpam-6517	666	13	assessed	assess	VERB
ejpam-6517	666	14	through	through	ADP
ejpam-6517	666	15	analytical	analytical	ADJ
ejpam-6517	666	16	calculation	calculation	NOUN
ejpam-6517	666	17	of	of	ADP
ejpam-6517	666	18	the	the	DET
ejpam-6517	666	19	threshold	threshold	NOUN
ejpam-6517	666	20	parameter	parameter	NOUN
ejpam-6517	666	21	.	.	PUNCT
ejpam-6517	667	1	this	this	DET
ejpam-6517	667	2	threshold	threshold	NOUN
ejpam-6517	667	3	value	value	NOUN
ejpam-6517	667	4	,	,	PUNCT
ejpam-6517	667	5	which	which	PRON
ejpam-6517	667	6	denotes	denote	VERB
ejpam-6517	667	7	circumstances	circumstance	NOUN
ejpam-6517	667	8	under	under	ADP
ejpam-6517	667	9	which	which	PRON
ejpam-6517	667	10	the	the	DET
ejpam-6517	667	11	disease	disease	NOUN
ejpam-6517	667	12	may	may	AUX
ejpam-6517	667	13	either	either	CCONJ
ejpam-6517	667	14	continue	continue	VERB
ejpam-6517	667	15	or	or	CCONJ
ejpam-6517	667	16	disappear	disappear	VERB
ejpam-6517	667	17	,	,	PUNCT
ejpam-6517	667	18	was	be	AUX
ejpam-6517	667	19	an	an	DET
ejpam-6517	667	20	essential	essential	ADJ
ejpam-6517	667	21	indicator	indicator	NOUN
ejpam-6517	667	22	in	in	ADP
ejpam-6517	667	23	epidemic	epidemic	NOUN
ejpam-6517	667	24	modeling	modeling	NOUN
ejpam-6517	667	25	.	.	PUNCT
ejpam-6517	668	1	furthermore	furthermore	ADV
ejpam-6517	668	2	local	local	ADJ
ejpam-6517	668	3	and	and	CCONJ
ejpam-6517	668	4	global	global	ADJ
ejpam-6517	668	5	unsteady	unsteady	ADJ
ejpam-6517	668	6	equilibrium	equilibrium	NOUN
ejpam-6517	668	7	stabilities	stability	NOUN
ejpam-6517	668	8	of	of	ADP
ejpam-6517	668	9	the	the	DET
ejpam-6517	668	10	solutions	solution	NOUN
ejpam-6517	668	11	were	be	AUX
ejpam-6517	668	12	established	establish	VERB
ejpam-6517	668	13	by	by	ADP
ejpam-6517	668	14	applying	apply	VERB
ejpam-6517	668	15	the	the	DET
ejpam-6517	668	16	necessary	necessary	ADJ
ejpam-6517	668	17	constraints	constraint	NOUN
ejpam-6517	668	18	on	on	ADP
ejpam-6517	668	19	the	the	DET
ejpam-6517	668	20	threshold	threshold	NOUN
ejpam-6517	668	21	value	value	NOUN
ejpam-6517	668	22	.	.	PUNCT
ejpam-6517	669	1	the	the	DET
ejpam-6517	669	2	global	global	ADJ
ejpam-6517	669	3	consistency	consistency	NOUN
ejpam-6517	669	4	of	of	ADP
ejpam-6517	669	5	states	state	NOUN
ejpam-6517	669	6	of	of	ADP
ejpam-6517	669	7	equilibrium	equilibrium	NOUN
ejpam-6517	669	8	was	be	AUX
ejpam-6517	669	9	demonstrated	demonstrate	VERB
ejpam-6517	669	10	using	use	VERB
ejpam-6517	669	11	the	the	DET
ejpam-6517	669	12	lyapunov	lyapunov	ADJ
ejpam-6517	669	13	function	function	NOUN
ejpam-6517	669	14	theory	theory	NOUN
ejpam-6517	669	15	.	.	PUNCT
ejpam-6517	670	1	the	the	DET
ejpam-6517	670	2	statistical	statistical	ADJ
ejpam-6517	670	3	dynamics	dynamic	NOUN
ejpam-6517	670	4	of	of	ADP
ejpam-6517	670	5	viral	viral	ADJ
ejpam-6517	670	6	disease	disease	NOUN
ejpam-6517	670	7	were	be	AUX
ejpam-6517	670	8	investigated	investigate	VERB
ejpam-6517	670	9	in	in	ADP
ejpam-6517	670	10	detail	detail	NOUN
ejpam-6517	670	11	using	use	VERB
ejpam-6517	670	12	the	the	DET
ejpam-6517	670	13	nsfd	nsfd	PROPN
ejpam-6517	670	14	numerical	numerical	PROPN
ejpam-6517	670	15	scheme	scheme	PROPN
ejpam-6517	670	16	,	,	PUNCT
ejpam-6517	670	17	which	which	PRON
ejpam-6517	670	18	was	be	AUX
ejpam-6517	670	19	found	find	VERB
ejpam-6517	670	20	to	to	PART
ejpam-6517	670	21	be	be	AUX
ejpam-6517	670	22	compatible	compatible	ADJ
ejpam-6517	670	23	with	with	ADP
ejpam-6517	670	24	the	the	DET
ejpam-6517	670	25	continuum	continuum	ADJ
ejpam-6517	670	26	model	model	NOUN
ejpam-6517	670	27	.	.	PUNCT
ejpam-6517	671	1	the	the	DET
ejpam-6517	671	2	purpose	purpose	NOUN
ejpam-6517	671	3	of	of	ADP
ejpam-6517	671	4	the	the	DET
ejpam-6517	671	5	study	study	NOUN
ejpam-6517	671	6	was	be	AUX
ejpam-6517	671	7	to	to	PART
ejpam-6517	671	8	find	find	VERB
ejpam-6517	671	9	out	out	ADP
ejpam-6517	671	10	how	how	SCONJ
ejpam-6517	671	11	well	well	ADV
ejpam-6517	671	12	continuous	continuous	ADJ
ejpam-6517	671	13	treatment	treatment	NOUN
ejpam-6517	671	14	and	and	CCONJ
ejpam-6517	671	15	immunization	immunization	NOUN
ejpam-6517	671	16	control	control	NOUN
ejpam-6517	671	17	strategies	strategy	NOUN
ejpam-6517	671	18	,	,	PUNCT
ejpam-6517	671	19	which	which	PRON
ejpam-6517	671	20	do	do	AUX
ejpam-6517	671	21	n’t	not	PART
ejpam-6517	671	22	change	change	VERB
ejpam-6517	671	23	over	over	ADP
ejpam-6517	671	24	time	time	NOUN
ejpam-6517	671	25	,	,	PUNCT
ejpam-6517	671	26	can	can	AUX
ejpam-6517	671	27	stop	stop	VERB
ejpam-6517	671	28	the	the	DET
ejpam-6517	671	29	spread	spread	NOUN
ejpam-6517	671	30	of	of	ADP
ejpam-6517	671	31	measles	measle	NOUN
ejpam-6517	671	32	.	.	PUNCT
ejpam-6517	672	1	the	the	DET
ejpam-6517	672	2	findings	finding	NOUN
ejpam-6517	672	3	suggest	suggest	VERB
ejpam-6517	672	4	that	that	SCONJ
ejpam-6517	672	5	raising	raise	VERB
ejpam-6517	672	6	vaccination	vaccination	NOUN
ejpam-6517	672	7	rates	rate	NOUN
ejpam-6517	672	8	may	may	AUX
ejpam-6517	672	9	lower	lower	VERB
ejpam-6517	672	10	the	the	DET
ejpam-6517	672	11	number	number	NOUN
ejpam-6517	672	12	of	of	ADP
ejpam-6517	672	13	infectious	infectious	ADJ
ejpam-6517	672	14	cases	case	NOUN
ejpam-6517	672	15	and	and	CCONJ
ejpam-6517	672	16	,	,	PUNCT
ejpam-6517	672	17	if	if	SCONJ
ejpam-6517	672	18	not	not	PART
ejpam-6517	672	19	less	less	ADJ
ejpam-6517	672	20	than	than	ADP
ejpam-6517	672	21	40	40	NUM
ejpam-6517	672	22	%	%	NOUN
ejpam-6517	672	23	of	of	ADP
ejpam-6517	672	24	the	the	DET
ejpam-6517	672	25	vulnerable	vulnerable	ADJ
ejpam-6517	672	26	population	population	NOUN
ejpam-6517	672	27	receives	receive	VERB
ejpam-6517	672	28	the	the	DET
ejpam-6517	672	29	shot	shot	NOUN
ejpam-6517	672	30	,	,	PUNCT
ejpam-6517	672	31	may	may	AUX
ejpam-6517	672	32	even	even	ADV
ejpam-6517	672	33	eradicate	eradicate	VERB
ejpam-6517	672	34	measles	measle	NOUN
ejpam-6517	672	35	.	.	PUNCT
ejpam-6517	673	1	furthermore	furthermore	ADV
ejpam-6517	673	2	,	,	PUNCT
ejpam-6517	673	3	increasing	increase	VERB
ejpam-6517	673	4	the	the	DET
ejpam-6517	673	5	rate	rate	NOUN
ejpam-6517	673	6	of	of	ADP
ejpam-6517	673	7	treatment	treatment	NOUN
ejpam-6517	673	8	can	can	AUX
ejpam-6517	673	9	also	also	ADV
ejpam-6517	673	10	help	help	VERB
ejpam-6517	673	11	stop	stop	VERB
ejpam-6517	673	12	the	the	DET
ejpam-6517	673	13	transmission	transmission	NOUN
ejpam-6517	673	14	of	of	ADP
ejpam-6517	673	15	measles	measle	NOUN
ejpam-6517	673	16	because	because	SCONJ
ejpam-6517	673	17	higher	high	ADJ
ejpam-6517	673	18	treatment	treatment	NOUN
ejpam-6517	673	19	levels	level	NOUN
ejpam-6517	673	20	result	result	VERB
ejpam-6517	673	21	in	in	ADP
ejpam-6517	673	22	a	a	DET
ejpam-6517	673	23	small	small	ADJ
ejpam-6517	673	24	increase	increase	NOUN
ejpam-6517	673	25	in	in	ADP
ejpam-6517	673	26	the	the	DET
ejpam-6517	673	27	vulnerable	vulnerable	ADJ
ejpam-6517	673	28	population	population	NOUN
ejpam-6517	673	29	but	but	CCONJ
ejpam-6517	673	30	a	a	DET
ejpam-6517	673	31	decrease	decrease	NOUN
ejpam-6517	673	32	in	in	ADP
ejpam-6517	673	33	the	the	DET
ejpam-6517	673	34	total	total	ADJ
ejpam-6517	673	35	number	number	NOUN
ejpam-6517	673	36	of	of	ADP
ejpam-6517	673	37	infected	infected	ADJ
ejpam-6517	673	38	people	people	NOUN
ejpam-6517	673	39	.	.	PUNCT
ejpam-6517	674	1	it	it	PRON
ejpam-6517	674	2	was	be	AUX
ejpam-6517	674	3	determined	determine	VERB
ejpam-6517	674	4	that	that	SCONJ
ejpam-6517	674	5	in	in	ADP
ejpam-6517	674	6	addition	addition	NOUN
ejpam-6517	674	7	to	to	ADP
ejpam-6517	674	8	vaccination	vaccination	NOUN
ejpam-6517	674	9	,	,	PUNCT
ejpam-6517	674	10	therapy	therapy	NOUN
ejpam-6517	674	11	is	be	AUX
ejpam-6517	674	12	helpful	helpful	ADJ
ejpam-6517	674	13	.	.	PUNCT
ejpam-6517	675	1	according	accord	VERB
ejpam-6517	675	2	to	to	ADP
ejpam-6517	675	3	the	the	DET
ejpam-6517	675	4	research	research	NOUN
ejpam-6517	675	5	,	,	PUNCT
ejpam-6517	675	6	if	if	SCONJ
ejpam-6517	675	7	at	at	ADV
ejpam-6517	675	8	least	least	ADV
ejpam-6517	675	9	15	15	NUM
ejpam-6517	675	10	%	%	NOUN
ejpam-6517	675	11	of	of	ADP
ejpam-6517	675	12	m.	m.	NOUN
ejpam-6517	675	13	mohiudin	mohiudin	PROPN
ejpam-6517	675	14	et	et	PROPN
ejpam-6517	675	15	al	al	PROPN
ejpam-6517	675	16	.	.	PUNCT
ejpam-6517	675	17	/	/	SYM
ejpam-6517	675	18	eur	eur	PROPN
ejpam-6517	675	19	.	.	PUNCT
ejpam-6517	676	1	j.	j.	PROPN
ejpam-6517	676	2	pure	pure	PROPN
ejpam-6517	676	3	appl	appl	PROPN
ejpam-6517	676	4	.	.	PROPN
ejpam-6517	676	5	math	math	PROPN
ejpam-6517	676	6	,	,	PUNCT
ejpam-6517	676	7	18	18	NUM
ejpam-6517	676	8	(	(	PUNCT
ejpam-6517	676	9	3	3	NUM
ejpam-6517	676	10	)	)	PUNCT
ejpam-6517	676	11	(	(	PUNCT
ejpam-6517	676	12	2025	2025	NUM
ejpam-6517	676	13	)	)	PUNCT
ejpam-6517	676	14	,	,	PUNCT
ejpam-6517	676	15	6517	6517	NUM
ejpam-6517	676	16	37	37	NUM
ejpam-6517	676	17	of	of	ADP
ejpam-6517	676	18	40	40	NUM
ejpam-6517	676	19	affected	affected	ADJ
ejpam-6517	676	20	people	people	NOUN
ejpam-6517	676	21	receive	receive	VERB
ejpam-6517	676	22	treatment	treatment	NOUN
ejpam-6517	676	23	,	,	PUNCT
ejpam-6517	676	24	it	it	PRON
ejpam-6517	676	25	is	be	AUX
ejpam-6517	676	26	possible	possible	ADJ
ejpam-6517	676	27	to	to	PART
ejpam-6517	676	28	eradicate	eradicate	VERB
ejpam-6517	676	29	disease	disease	NOUN
ejpam-6517	676	30	from	from	ADP
ejpam-6517	676	31	human	human	ADJ
ejpam-6517	676	32	beings	being	NOUN
ejpam-6517	676	33	once	once	SCONJ
ejpam-6517	676	34	vaccination	vaccination	NOUN
ejpam-6517	676	35	is	be	AUX
ejpam-6517	676	36	accessible	accessible	ADJ
ejpam-6517	676	37	.	.	PUNCT
ejpam-6517	677	1	all	all	DET
ejpam-6517	677	2	things	thing	NOUN
ejpam-6517	677	3	considered	consider	VERB
ejpam-6517	677	4	,	,	PUNCT
ejpam-6517	677	5	when	when	SCONJ
ejpam-6517	677	6	combined	combine	VERB
ejpam-6517	677	7	,	,	PUNCT
ejpam-6517	677	8	a	a	DET
ejpam-6517	677	9	comprehensive	comprehensive	ADJ
ejpam-6517	677	10	approach	approach	NOUN
ejpam-6517	677	11	that	that	PRON
ejpam-6517	677	12	includes	include	VERB
ejpam-6517	677	13	vaccination	vaccination	NOUN
ejpam-6517	677	14	a	a	DET
ejpam-6517	677	15	sizable	sizable	ADJ
ejpam-6517	677	16	percentage	percentage	NOUN
ejpam-6517	677	17	of	of	ADP
ejpam-6517	677	18	vulnerable	vulnerable	ADJ
ejpam-6517	677	19	people	people	NOUN
ejpam-6517	677	20	,	,	PUNCT
ejpam-6517	677	21	attaining	attain	VERB
ejpam-6517	677	22	as	as	ADV
ejpam-6517	677	23	many	many	ADJ
ejpam-6517	677	24	as	as	ADP
ejpam-6517	677	25	forty	forty	NUM
ejpam-6517	677	26	percent	percent	NOUN
ejpam-6517	677	27	,	,	PUNCT
ejpam-6517	677	28	and	and	CCONJ
ejpam-6517	677	29	treating	treat	VERB
ejpam-6517	677	30	not	not	PART
ejpam-6517	677	31	less	less	ADJ
ejpam-6517	677	32	than	than	ADP
ejpam-6517	677	33	15	15	NUM
ejpam-6517	677	34	%	%	NOUN
ejpam-6517	677	35	of	of	ADP
ejpam-6517	677	36	the	the	DET
ejpam-6517	677	37	sick	sick	ADJ
ejpam-6517	677	38	population	population	NOUN
ejpam-6517	677	39	can	can	AUX
ejpam-6517	677	40	be	be	AUX
ejpam-6517	677	41	quite	quite	ADV
ejpam-6517	677	42	successful	successful	ADJ
ejpam-6517	677	43	in	in	ADP
ejpam-6517	677	44	preventing	prevent	VERB
ejpam-6517	677	45	measles	measle	NOUN
ejpam-6517	677	46	.	.	PUNCT
ejpam-6517	678	1	this	this	DET
ejpam-6517	678	2	joint	joint	ADJ
ejpam-6517	678	3	strategy	strategy	NOUN
ejpam-6517	678	4	seeks	seek	VERB
ejpam-6517	678	5	to	to	PART
ejpam-6517	678	6	reduce	reduce	VERB
ejpam-6517	678	7	infections	infection	NOUN
ejpam-6517	678	8	,	,	PUNCT
ejpam-6517	678	9	lessen	lessen	VERB
ejpam-6517	678	10	the	the	DET
ejpam-6517	678	11	disease	disease	NOUN
ejpam-6517	678	12	’s	’s	PART
ejpam-6517	678	13	severity	severity	NOUN
ejpam-6517	678	14	,	,	PUNCT
ejpam-6517	678	15	and	and	CCONJ
ejpam-6517	678	16	enhance	enhance	VERB
ejpam-6517	678	17	general	general	ADJ
ejpam-6517	678	18	public	public	ADJ
ejpam-6517	678	19	health	health	NOUN
ejpam-6517	678	20	results	result	NOUN
ejpam-6517	678	21	.	.	PUNCT
ejpam-6517	679	1	evaluating	evaluate	VERB
ejpam-6517	679	2	the	the	DET
ejpam-6517	679	3	sensitivity	sensitivity	NOUN
ejpam-6517	679	4	of	of	ADP
ejpam-6517	679	5	variables	variable	NOUN
ejpam-6517	679	6	influencing	influence	VERB
ejpam-6517	679	7	a	a	DET
ejpam-6517	679	8	threshold	threshold	NOUN
ejpam-6517	679	9	factor	factor	NOUN
ejpam-6517	679	10	in	in	ADP
ejpam-6517	679	11	the	the	DET
ejpam-6517	679	12	proposed	propose	VERB
ejpam-6517	679	13	measles	measle	NOUN
ejpam-6517	679	14	model	model	NOUN
ejpam-6517	679	15	was	be	AUX
ejpam-6517	679	16	the	the	DET
ejpam-6517	679	17	main	main	ADJ
ejpam-6517	679	18	goal	goal	NOUN
ejpam-6517	679	19	of	of	ADP
ejpam-6517	679	20	our	our	PRON
ejpam-6517	679	21	investigation	investigation	NOUN
ejpam-6517	679	22	.	.	PUNCT
ejpam-6517	680	1	a	a	DET
ejpam-6517	680	2	rate	rate	NOUN
ejpam-6517	680	3	of	of	ADP
ejpam-6517	680	4	contact	contact	NOUN
ejpam-6517	680	5	k	k	PROPN
ejpam-6517	680	6	of	of	ADP
ejpam-6517	680	7	susceptible	susceptible	ADJ
ejpam-6517	680	8	and	and	CCONJ
ejpam-6517	680	9	infected	infected	ADJ
ejpam-6517	680	10	people	people	NOUN
ejpam-6517	680	11	was	be	AUX
ejpam-6517	680	12	found	find	VERB
ejpam-6517	680	13	to	to	PART
ejpam-6517	680	14	be	be	AUX
ejpam-6517	680	15	the	the	DET
ejpam-6517	680	16	most	most	ADV
ejpam-6517	680	17	significant	significant	ADJ
ejpam-6517	680	18	parameter	parameter	NOUN
ejpam-6517	680	19	.	.	PUNCT
ejpam-6517	681	1	educating	educate	VERB
ejpam-6517	681	2	and	and	CCONJ
ejpam-6517	681	3	organizing	organize	VERB
ejpam-6517	681	4	people	people	NOUN
ejpam-6517	681	5	who	who	PRON
ejpam-6517	681	6	can	can	AUX
ejpam-6517	681	7	act	act	VERB
ejpam-6517	681	8	as	as	ADP
ejpam-6517	681	9	advocates	advocate	NOUN
ejpam-6517	681	10	and	and	CCONJ
ejpam-6517	681	11	increase	increase	VERB
ejpam-6517	681	12	public	public	ADJ
ejpam-6517	681	13	awareness	awareness	NOUN
ejpam-6517	681	14	is	be	AUX
ejpam-6517	681	15	essential	essential	ADJ
ejpam-6517	681	16	.	.	PUNCT
ejpam-6517	682	1	these	these	DET
ejpam-6517	682	2	powerful	powerful	ADJ
ejpam-6517	682	3	people	people	NOUN
ejpam-6517	682	4	will	will	AUX
ejpam-6517	682	5	be	be	AUX
ejpam-6517	682	6	essential	essential	ADJ
ejpam-6517	682	7	in	in	ADP
ejpam-6517	682	8	motivating	motivate	VERB
ejpam-6517	682	9	others	other	NOUN
ejpam-6517	682	10	to	to	PART
ejpam-6517	682	11	investigate	investigate	VERB
ejpam-6517	682	12	various	various	ADJ
ejpam-6517	682	13	approaches	approach	NOUN
ejpam-6517	682	14	meant	mean	VERB
ejpam-6517	682	15	to	to	PART
ejpam-6517	682	16	reduce	reduce	VERB
ejpam-6517	682	17	transmission	transmission	NOUN
ejpam-6517	682	18	rates	rate	NOUN
ejpam-6517	682	19	.	.	PUNCT
ejpam-6517	683	1	they	they	PRON
ejpam-6517	683	2	can	can	AUX
ejpam-6517	683	3	significantly	significantly	ADV
ejpam-6517	683	4	help	help	VERB
ejpam-6517	683	5	reduce	reduce	VERB
ejpam-6517	683	6	the	the	DET
ejpam-6517	683	7	virus	virus	NOUN
ejpam-6517	683	8	’s	’s	PART
ejpam-6517	683	9	transmission	transmission	NOUN
ejpam-6517	683	10	by	by	ADP
ejpam-6517	683	11	promoting	promote	VERB
ejpam-6517	683	12	preventive	preventive	ADJ
ejpam-6517	683	13	measures	measure	NOUN
ejpam-6517	683	14	like	like	ADP
ejpam-6517	683	15	social	social	ADJ
ejpam-6517	683	16	distance	distance	NOUN
ejpam-6517	683	17	,	,	PUNCT
ejpam-6517	683	18	vitamin	vitamin	VERB
ejpam-6517	683	19	a	a	DET
ejpam-6517	683	20	supplementation	supplementation	NOUN
ejpam-6517	683	21	(	(	PUNCT
ejpam-6517	683	22	particularly	particularly	ADV
ejpam-6517	683	23	in	in	ADP
ejpam-6517	683	24	youngsters	youngster	NOUN
ejpam-6517	683	25	)	)	PUNCT
ejpam-6517	683	26	,	,	PUNCT
ejpam-6517	683	27	and	and	CCONJ
ejpam-6517	683	28	adherence	adherence	NOUN
ejpam-6517	683	29	to	to	ADP
ejpam-6517	683	30	good	good	ADJ
ejpam-6517	683	31	hygiene	hygiene	NOUN
ejpam-6517	683	32	standards	standard	NOUN
ejpam-6517	683	33	.	.	PUNCT
ejpam-6517	684	1	these	these	DET
ejpam-6517	684	2	people	people	NOUN
ejpam-6517	684	3	’s	’s	PART
ejpam-6517	684	4	awareness	awareness	NOUN
ejpam-6517	684	5	efforts	effort	NOUN
ejpam-6517	684	6	will	will	AUX
ejpam-6517	684	7	inspire	inspire	VERB
ejpam-6517	684	8	the	the	DET
ejpam-6517	684	9	public	public	NOUN
ejpam-6517	684	10	to	to	PART
ejpam-6517	684	11	think	think	VERB
ejpam-6517	684	12	creatively	creatively	ADV
ejpam-6517	684	13	and	and	CCONJ
ejpam-6517	684	14	proactively	proactively	ADV
ejpam-6517	684	15	about	about	ADP
ejpam-6517	684	16	other	other	ADJ
ejpam-6517	684	17	ways	way	NOUN
ejpam-6517	684	18	to	to	PART
ejpam-6517	684	19	reduce	reduce	VERB
ejpam-6517	684	20	transmission	transmission	NOUN
ejpam-6517	684	21	rates	rate	NOUN
ejpam-6517	684	22	.	.	PUNCT
ejpam-6517	685	1	the	the	DET
ejpam-6517	685	2	aim	aim	NOUN
ejpam-6517	685	3	of	of	ADP
ejpam-6517	685	4	the	the	DET
ejpam-6517	685	5	mathematical	mathematical	ADJ
ejpam-6517	685	6	analysis	analysis	NOUN
ejpam-6517	685	7	conducted	conduct	VERB
ejpam-6517	685	8	in	in	ADP
ejpam-6517	685	9	the	the	DET
ejpam-6517	685	10	present	present	ADJ
ejpam-6517	685	11	research	research	NOUN
ejpam-6517	685	12	was	be	AUX
ejpam-6517	685	13	to	to	PART
ejpam-6517	685	14	gain	gain	VERB
ejpam-6517	685	15	a	a	DET
ejpam-6517	685	16	full	full	ADJ
ejpam-6517	685	17	understanding	understanding	NOUN
ejpam-6517	685	18	of	of	ADP
ejpam-6517	685	19	the	the	DET
ejpam-6517	685	20	long	long	ADJ
ejpam-6517	685	21	-	-	PUNCT
ejpam-6517	685	22	term	term	NOUN
ejpam-6517	685	23	evolution	evolution	NOUN
ejpam-6517	685	24	of	of	ADP
ejpam-6517	685	25	measles	measle	NOUN
ejpam-6517	685	26	.	.	PUNCT
ejpam-6517	686	1	we	we	PRON
ejpam-6517	686	2	think	think	VERB
ejpam-6517	686	3	that	that	SCONJ
ejpam-6517	686	4	those	those	PRON
ejpam-6517	686	5	making	make	VERB
ejpam-6517	686	6	decisions	decision	NOUN
ejpam-6517	686	7	and	and	CCONJ
ejpam-6517	686	8	health	health	NOUN
ejpam-6517	686	9	authorities	authority	NOUN
ejpam-6517	686	10	will	will	AUX
ejpam-6517	686	11	find	find	VERB
ejpam-6517	686	12	the	the	DET
ejpam-6517	686	13	knowledge	knowledge	NOUN
ejpam-6517	686	14	gathered	gather	VERB
ejpam-6517	686	15	from	from	ADP
ejpam-6517	686	16	this	this	DET
ejpam-6517	686	17	study	study	NOUN
ejpam-6517	686	18	to	to	PART
ejpam-6517	686	19	be	be	AUX
ejpam-6517	686	20	helpful	helpful	ADJ
ejpam-6517	686	21	in	in	ADP
ejpam-6517	686	22	the	the	DET
ejpam-6517	686	23	fight	fight	NOUN
ejpam-6517	686	24	against	against	ADP
ejpam-6517	686	25	measles	measle	NOUN
ejpam-6517	686	26	.	.	PUNCT
ejpam-6517	687	1	subsequent	subsequent	ADJ
ejpam-6517	687	2	studies	study	NOUN
ejpam-6517	687	3	will	will	AUX
ejpam-6517	687	4	examine	examine	VERB
ejpam-6517	687	5	general	general	ADJ
ejpam-6517	687	6	fractional	fractional	ADJ
ejpam-6517	687	7	and	and	CCONJ
ejpam-6517	687	8	stochastic	stochastic	ADJ
ejpam-6517	687	9	optimum	optimum	ADJ
ejpam-6517	687	10	control	control	NOUN
ejpam-6517	687	11	problems	problem	NOUN
ejpam-6517	687	12	using	use	VERB
ejpam-6517	687	13	actual	actual	ADJ
ejpam-6517	687	14	data	datum	NOUN
ejpam-6517	687	15	in	in	ADP
ejpam-6517	687	16	order	order	NOUN
ejpam-6517	687	17	to	to	PART
ejpam-6517	687	18	identify	identify	VERB
ejpam-6517	687	19	the	the	DET
ejpam-6517	687	20	best	good	ADJ
ejpam-6517	687	21	controls	control	NOUN
ejpam-6517	687	22	for	for	ADP
ejpam-6517	687	23	putting	put	VERB
ejpam-6517	687	24	required	require	VERB
ejpam-6517	687	25	measures	measure	NOUN
ejpam-6517	687	26	into	into	ADP
ejpam-6517	687	27	place	place	NOUN
ejpam-6517	687	28	.	.	PUNCT
ejpam-6517	688	1	acknowledgements	acknowledgement	NOUN
ejpam-6517	688	2	the	the	DET
ejpam-6517	688	3	authors	author	NOUN
ejpam-6517	688	4	would	would	AUX
ejpam-6517	688	5	like	like	VERB
ejpam-6517	688	6	to	to	PART
ejpam-6517	688	7	acknowledge	acknowledge	VERB
ejpam-6517	688	8	the	the	DET
ejpam-6517	688	9	support	support	NOUN
ejpam-6517	688	10	of	of	ADP
ejpam-6517	688	11	prince	prince	PROPN
ejpam-6517	688	12	sultan	sultan	PROPN
ejpam-6517	688	13	university	university	PROPN
ejpam-6517	688	14	for	for	ADP
ejpam-6517	688	15	paying	pay	VERB
ejpam-6517	688	16	the	the	DET
ejpam-6517	688	17	article	article	NOUN
ejpam-6517	688	18	processing	processing	NOUN
ejpam-6517	688	19	charges	charge	NOUN
ejpam-6517	688	20	(	(	PUNCT
ejpam-6517	688	21	apc	apc	PROPN
ejpam-6517	688	22	)	)	PUNCT
ejpam-6517	688	23	of	of	ADP
ejpam-6517	688	24	this	this	DET
ejpam-6517	688	25	publication	publication	NOUN
ejpam-6517	688	26	.	.	PUNCT
ejpam-6517	689	1	declarations	declaration	NOUN
ejpam-6517	689	2	all	all	DET
ejpam-6517	689	3	authors	author	NOUN
ejpam-6517	689	4	have	have	AUX
ejpam-6517	689	5	read	read	VERB
ejpam-6517	689	6	and	and	CCONJ
ejpam-6517	689	7	approved	approve	VERB
ejpam-6517	689	8	the	the	DET
ejpam-6517	689	9	final	final	ADJ
ejpam-6517	689	10	manuscript	manuscript	NOUN
ejpam-6517	689	11	.	.	PUNCT
ejpam-6517	690	1	competing	compete	VERB
ejpam-6517	690	2	interests	interest	NOUN
ejpam-6517	690	3	not	not	PART
ejpam-6517	690	4	exist	exist	VERB
ejpam-6517	690	5	.	.	PUNCT
ejpam-6517	691	1	references	reference	NOUN
ejpam-6517	691	2	[	[	X
ejpam-6517	691	3	1	1	NUM
ejpam-6517	691	4	]	]	PUNCT
ejpam-6517	691	5	shinjini	shinjini	ADJ
ejpam-6517	691	6	bandopadhyay	bandopadhyay	NOUN
ejpam-6517	691	7	,	,	PUNCT
ejpam-6517	691	8	angana	angana	PROPN
ejpam-6517	691	9	das	das	PROPN
ejpam-6517	691	10	gupta	gupta	PROPN
ejpam-6517	691	11	,	,	PUNCT
ejpam-6517	691	12	asesh	asesh	ADJ
ejpam-6517	691	13	banerjee	banerjee	PROPN
ejpam-6517	691	14	,	,	PUNCT
ejpam-6517	691	15	and	and	CCONJ
ejpam-6517	691	16	prabuddha	prabuddha	PROPN
ejpam-6517	691	17	gupta	gupta	PROPN
ejpam-6517	691	18	.	.	PUNCT
ejpam-6517	692	1	bitesize	bitesize	PROPN
ejpam-6517	692	2	epidemiology	epidemiology	PROPN
ejpam-6517	692	3	for	for	ADP
ejpam-6517	692	4	general	general	ADJ
ejpam-6517	692	5	awareness	awareness	NOUN
ejpam-6517	692	6	of	of	ADP
ejpam-6517	692	7	all	all	DET
ejpam-6517	692	8	students	student	NOUN
ejpam-6517	692	9	-	-	PUNCT
ejpam-6517	692	10	i.	i.	NOUN
ejpam-6517	692	11	resonance	resonance	NOUN
ejpam-6517	692	12	,	,	PUNCT
ejpam-6517	692	13	28(3):411	28(3):411	NUM
ejpam-6517	692	14	–	–	PUNCT
ejpam-6517	692	15	432	432	NUM
ejpam-6517	692	16	,	,	PUNCT
ejpam-6517	692	17	2023	2023	NUM
ejpam-6517	692	18	.	.	PUNCT
ejpam-6517	693	1	[	[	X
ejpam-6517	693	2	2	2	NUM
ejpam-6517	693	3	]	]	X
ejpam-6517	693	4	unicef	unicef	NOUN
ejpam-6517	693	5	,	,	PUNCT
ejpam-6517	693	6	who	who	PRON
ejpam-6517	693	7	,	,	PUNCT
ejpam-6517	693	8	et	et	PROPN
ejpam-6517	693	9	al	al	PROPN
ejpam-6517	693	10	.	.	PROPN
ejpam-6517	693	11	who	who	PRON
ejpam-6517	693	12	warn	warn	VERB
ejpam-6517	693	13	of	of	ADP
ejpam-6517	693	14	perfect	perfect	ADJ
ejpam-6517	693	15	storm	storm	NOUN
ejpam-6517	693	16	of	of	ADP
ejpam-6517	693	17	conditions	condition	NOUN
ejpam-6517	693	18	for	for	ADP
ejpam-6517	693	19	measles	measle	NOUN
ejpam-6517	693	20	outbreaks	outbreak	NOUN
ejpam-6517	693	21	,	,	PUNCT
ejpam-6517	693	22	affecting	affect	VERB
ejpam-6517	693	23	children	child	NOUN
ejpam-6517	693	24	.	.	PUNCT
ejpam-6517	694	1	new	new	PROPN
ejpam-6517	694	2	york	york	PROPN
ejpam-6517	694	3	:	:	PUNCT
ejpam-6517	694	4	organización	organización	PROPN
ejpam-6517	694	5	mundial	mundial	PROPN
ejpam-6517	694	6	de	de	X
ejpam-6517	694	7	la	la	X
ejpam-6517	694	8	salud	salud	PROPN
ejpam-6517	694	9	,	,	PUNCT
ejpam-6517	694	10	2022	2022	NUM
ejpam-6517	694	11	.	.	PUNCT
ejpam-6517	695	1	[	[	X
ejpam-6517	695	2	3	3	NUM
ejpam-6517	695	3	]	]	PUNCT
ejpam-6517	695	4	babatunde	babatunde	NOUN
ejpam-6517	695	5	sunday	sunday	PROPN
ejpam-6517	695	6	ogundare	ogundare	PROPN
ejpam-6517	695	7	and	and	CCONJ
ejpam-6517	695	8	james	james	PROPN
ejpam-6517	695	9	akingbade	akingbade	PROPN
ejpam-6517	695	10	.	.	PUNCT
ejpam-6517	696	1	boundedness	boundedness	NOUN
ejpam-6517	696	2	and	and	CCONJ
ejpam-6517	696	3	stability	stability	NOUN
ejpam-6517	696	4	properties	property	NOUN
ejpam-6517	696	5	of	of	ADP
ejpam-6517	696	6	solutions	solution	NOUN
ejpam-6517	696	7	of	of	ADP
ejpam-6517	696	8	mathematical	mathematical	ADJ
ejpam-6517	696	9	model	model	NOUN
ejpam-6517	696	10	of	of	ADP
ejpam-6517	696	11	measles	measle	NOUN
ejpam-6517	696	12	.	.	PUNCT
ejpam-6517	697	1	tamkang	tamkang	PROPN
ejpam-6517	697	2	journal	journal	PROPN
ejpam-6517	697	3	of	of	ADP
ejpam-6517	697	4	mathematics	mathematic	NOUN
ejpam-6517	697	5	,	,	PUNCT
ejpam-6517	697	6	52(1):91–112	52(1):91–112	NUM
ejpam-6517	697	7	,	,	PUNCT
ejpam-6517	697	8	2021	2021	NUM
ejpam-6517	697	9	.	.	PUNCT
ejpam-6517	698	1	[	[	X
ejpam-6517	698	2	4	4	NUM
ejpam-6517	698	3	]	]	PUNCT
ejpam-6517	698	4	bing	bing	VERB
ejpam-6517	698	5	guo	guo	PROPN
ejpam-6517	698	6	,	,	PUNCT
ejpam-6517	698	7	asad	asad	PROPN
ejpam-6517	698	8	khan	khan	PROPN
ejpam-6517	698	9	,	,	PUNCT
ejpam-6517	698	10	and	and	CCONJ
ejpam-6517	698	11	anwarud	anwarud	PROPN
ejpam-6517	698	12	din	din	PROPN
ejpam-6517	698	13	.	.	PROPN
ejpam-6517	698	14	numerical	numerical	PROPN
ejpam-6517	698	15	simulation	simulation	PROPN
ejpam-6517	698	16	of	of	ADP
ejpam-6517	698	17	nonlinear	nonlinear	ADJ
ejpam-6517	698	18	stochastic	stochastic	ADJ
ejpam-6517	698	19	analysis	analysis	NOUN
ejpam-6517	698	20	for	for	ADP
ejpam-6517	698	21	measles	measle	NOUN
ejpam-6517	698	22	transmission	transmission	NOUN
ejpam-6517	698	23	:	:	PUNCT
ejpam-6517	698	24	a	a	DET
ejpam-6517	698	25	case	case	NOUN
ejpam-6517	698	26	study	study	NOUN
ejpam-6517	698	27	of	of	ADP
ejpam-6517	698	28	a	a	DET
ejpam-6517	698	29	measles	measle	NOUN
ejpam-6517	698	30	epidemic	epidemic	NOUN
ejpam-6517	698	31	in	in	ADP
ejpam-6517	698	32	pakistan	pakistan	PROPN
ejpam-6517	698	33	.	.	PUNCT
ejpam-6517	699	1	fractal	fractal	PROPN
ejpam-6517	699	2	and	and	CCONJ
ejpam-6517	699	3	fractional	fractional	ADJ
ejpam-6517	699	4	,	,	PUNCT
ejpam-6517	699	5	7(2):130	7(2):130	NUM
ejpam-6517	699	6	,	,	PUNCT
ejpam-6517	699	7	2023	2023	NUM
ejpam-6517	699	8	.	.	PUNCT
ejpam-6517	700	1	m.	m.	NOUN
ejpam-6517	700	2	mohiudin	mohiudin	PROPN
ejpam-6517	700	3	et	et	PROPN
ejpam-6517	700	4	al	al	PROPN
ejpam-6517	700	5	.	.	PUNCT
ejpam-6517	700	6	/	/	SYM
ejpam-6517	700	7	eur	eur	PROPN
ejpam-6517	700	8	.	.	PUNCT
ejpam-6517	701	1	j.	j.	PROPN
ejpam-6517	701	2	pure	pure	PROPN
ejpam-6517	701	3	appl	appl	PROPN
ejpam-6517	701	4	.	.	PROPN
ejpam-6517	701	5	math	math	PROPN
ejpam-6517	701	6	,	,	PUNCT
ejpam-6517	701	7	18	18	NUM
ejpam-6517	701	8	(	(	PUNCT
ejpam-6517	701	9	3	3	NUM
ejpam-6517	701	10	)	)	PUNCT
ejpam-6517	701	11	(	(	PUNCT
ejpam-6517	701	12	2025	2025	NUM
ejpam-6517	701	13	)	)	PUNCT
ejpam-6517	701	14	,	,	PUNCT
ejpam-6517	701	15	6517	6517	NUM
ejpam-6517	701	16	38	38	NUM
ejpam-6517	701	17	of	of	ADP
ejpam-6517	701	18	40	40	NUM
ejpam-6517	702	1	[	[	SYM
ejpam-6517	702	2	5	5	NUM
ejpam-6517	702	3	]	]	X
ejpam-6517	702	4	mamadou	mamadou	X
ejpam-6517	702	5	l.	l.	PROPN
ejpam-6517	702	6	diagne	diagne	PROPN
ejpam-6517	702	7	,	,	PUNCT
ejpam-6517	702	8	herieth	herieth	PROPN
ejpam-6517	702	9	rwezaura	rwezaura	ADV
ejpam-6517	702	10	,	,	PUNCT
ejpam-6517	702	11	sansao	sansao	NOUN
ejpam-6517	702	12	a.	a.	NOUN
ejpam-6517	702	13	pedro	pedro	PROPN
ejpam-6517	702	14	,	,	PUNCT
ejpam-6517	702	15	and	and	CCONJ
ejpam-6517	702	16	jean	jean	PROPN
ejpam-6517	702	17	m.	m.	PROPN
ejpam-6517	702	18	tchuenche	tchuenche	PROPN
ejpam-6517	702	19	.	.	PUNCT
ejpam-6517	703	1	theoretical	theoretical	ADJ
ejpam-6517	703	2	analysis	analysis	NOUN
ejpam-6517	703	3	of	of	ADP
ejpam-6517	703	4	a	a	DET
ejpam-6517	703	5	measles	measle	NOUN
ejpam-6517	703	6	model	model	NOUN
ejpam-6517	703	7	with	with	ADP
ejpam-6517	703	8	nonlinear	nonlinear	ADJ
ejpam-6517	703	9	incidence	incidence	NOUN
ejpam-6517	703	10	functions	function	NOUN
ejpam-6517	703	11	.	.	PUNCT
ejpam-6517	704	1	communications	communication	NOUN
ejpam-6517	704	2	in	in	ADP
ejpam-6517	704	3	nonlinear	nonlinear	ADJ
ejpam-6517	704	4	science	science	NOUN
ejpam-6517	704	5	and	and	CCONJ
ejpam-6517	704	6	numerical	numerical	PROPN
ejpam-6517	704	7	simulation	simulation	PROPN
ejpam-6517	704	8	,	,	PUNCT
ejpam-6517	704	9	117:106911	117:106911	NUM
ejpam-6517	704	10	,	,	PUNCT
ejpam-6517	704	11	2023	2023	NUM
ejpam-6517	704	12	.	.	PUNCT
ejpam-6517	705	1	[	[	X
ejpam-6517	705	2	6	6	NUM
ejpam-6517	705	3	]	]	PUNCT
ejpam-6517	705	4	ryoko	ryoko	PROPN
ejpam-6517	705	5	sato	sato	PROPN
ejpam-6517	705	6	and	and	CCONJ
ejpam-6517	705	7	masahiko	masahiko	PROPN
ejpam-6517	705	8	haraguchi	haraguchi	PROPN
ejpam-6517	705	9	.	.	PUNCT
ejpam-6517	706	1	effect	effect	NOUN
ejpam-6517	706	2	of	of	ADP
ejpam-6517	706	3	measles	measle	NOUN
ejpam-6517	706	4	prevalence	prevalence	NOUN
ejpam-6517	706	5	and	and	CCONJ
ejpam-6517	706	6	vaccination	vaccination	NOUN
ejpam-6517	706	7	coverage	coverage	NOUN
ejpam-6517	706	8	on	on	ADP
ejpam-6517	706	9	other	other	ADJ
ejpam-6517	706	10	disease	disease	NOUN
ejpam-6517	706	11	burden	burden	NOUN
ejpam-6517	706	12	:	:	PUNCT
ejpam-6517	706	13	evidence	evidence	NOUN
ejpam-6517	706	14	of	of	ADP
ejpam-6517	706	15	measles	measle	NOUN
ejpam-6517	706	16	immune	immune	VERB
ejpam-6517	706	17	amnesia	amnesia	NOUN
ejpam-6517	706	18	in	in	ADP
ejpam-6517	706	19	46	46	NUM
ejpam-6517	706	20	african	african	ADJ
ejpam-6517	706	21	countries	country	NOUN
ejpam-6517	706	22	.	.	PUNCT
ejpam-6517	707	1	human	human	ADJ
ejpam-6517	707	2	vaccines	vaccine	NOUN
ejpam-6517	707	3	&	&	CCONJ
ejpam-6517	707	4	immunotherapeutics	immunotherapeutic	NOUN
ejpam-6517	707	5	,	,	PUNCT
ejpam-6517	707	6	17(12):5361–5366	17(12):5361–5366	NUM
ejpam-6517	707	7	,	,	PUNCT
ejpam-6517	707	8	2021	2021	NUM
ejpam-6517	707	9	.	.	PUNCT
ejpam-6517	708	1	[	[	X
ejpam-6517	708	2	7	7	NUM
ejpam-6517	708	3	]	]	PUNCT
ejpam-6517	708	4	siwaphorn	siwaphorn	NOUN
ejpam-6517	708	5	kanchanarat	kanchanarat	PROPN
ejpam-6517	708	6	,	,	PUNCT
ejpam-6517	708	7	kadkanok	kadkanok	PROPN
ejpam-6517	708	8	nudee	nudee	PROPN
ejpam-6517	708	9	,	,	PUNCT
ejpam-6517	708	10	settapat	settapat	NOUN
ejpam-6517	708	11	chinviriyasit	chinviriyasit	ADJ
ejpam-6517	708	12	,	,	PUNCT
ejpam-6517	708	13	and	and	CCONJ
ejpam-6517	708	14	wirawan	wirawan	PROPN
ejpam-6517	708	15	chinviriyasit	chinviriyasit	PROPN
ejpam-6517	708	16	.	.	PUNCT
ejpam-6517	709	1	mathematical	mathematical	ADJ
ejpam-6517	709	2	analysis	analysis	NOUN
ejpam-6517	709	3	of	of	ADP
ejpam-6517	709	4	pulse	pulse	NOUN
ejpam-6517	709	5	vaccination	vaccination	NOUN
ejpam-6517	709	6	in	in	ADP
ejpam-6517	709	7	controlling	control	VERB
ejpam-6517	709	8	the	the	DET
ejpam-6517	709	9	dynamics	dynamic	NOUN
ejpam-6517	709	10	of	of	ADP
ejpam-6517	709	11	measles	measle	NOUN
ejpam-6517	709	12	transmission	transmission	NOUN
ejpam-6517	709	13	.	.	PUNCT
ejpam-6517	710	1	infectious	infectious	ADJ
ejpam-6517	710	2	disease	disease	NOUN
ejpam-6517	710	3	modelling	modelling	NOUN
ejpam-6517	710	4	,	,	PUNCT
ejpam-6517	710	5	8(4):964–979	8(4):964–979	NUM
ejpam-6517	710	6	,	,	PUNCT
ejpam-6517	710	7	2023	2023	NUM
ejpam-6517	710	8	.	.	PUNCT
ejpam-6517	711	1	[	[	X
ejpam-6517	711	2	8	8	NUM
ejpam-6517	711	3	]	]	PUNCT
ejpam-6517	711	4	getachew	getachew	AUX
ejpam-6517	711	5	teshome	teshome	VERB
ejpam-6517	711	6	tilahun	tilahun	PROPN
ejpam-6517	711	7	,	,	PUNCT
ejpam-6517	711	8	seleshi	seleshi	PROPN
ejpam-6517	711	9	demie	demie	PROPN
ejpam-6517	711	10	,	,	PUNCT
ejpam-6517	711	11	and	and	CCONJ
ejpam-6517	711	12	alemayehu	alemayehu	PROPN
ejpam-6517	711	13	eyob	eyob	NOUN
ejpam-6517	711	14	.	.	PUNCT
ejpam-6517	712	1	stochastic	stochastic	ADJ
ejpam-6517	712	2	model	model	NOUN
ejpam-6517	712	3	of	of	ADP
ejpam-6517	712	4	measles	measle	NOUN
ejpam-6517	712	5	transmission	transmission	NOUN
ejpam-6517	712	6	dynamics	dynamic	NOUN
ejpam-6517	712	7	with	with	ADP
ejpam-6517	712	8	double	double	ADJ
ejpam-6517	712	9	dose	dose	NOUN
ejpam-6517	712	10	vaccination	vaccination	NOUN
ejpam-6517	712	11	.	.	PUNCT
ejpam-6517	713	1	infectious	infectious	ADJ
ejpam-6517	713	2	disease	disease	NOUN
ejpam-6517	713	3	modelling	modelling	NOUN
ejpam-6517	713	4	,	,	PUNCT
ejpam-6517	713	5	5:478–494	5:478–494	NUM
ejpam-6517	713	6	,	,	PUNCT
ejpam-6517	713	7	2020	2020	NUM
ejpam-6517	713	8	.	.	PUNCT
ejpam-6517	714	1	[	[	X
ejpam-6517	714	2	9	9	NUM
ejpam-6517	714	3	]	]	PUNCT
ejpam-6517	714	4	anjana	anjana	PROPN
ejpam-6517	714	5	pokharel	pokharel	PROPN
ejpam-6517	714	6	,	,	PUNCT
ejpam-6517	714	7	khagendra	khagendra	PROPN
ejpam-6517	714	8	adhikari	adhikari	PROPN
ejpam-6517	714	9	,	,	PUNCT
ejpam-6517	714	10	ramesh	ramesh	PROPN
ejpam-6517	714	11	gautam	gautam	PROPN
ejpam-6517	714	12	,	,	PUNCT
ejpam-6517	714	13	kedar	kedar	PROPN
ejpam-6517	714	14	nath	nath	PROPN
ejpam-6517	714	15	uprety	uprety	PROPN
ejpam-6517	714	16	,	,	PUNCT
ejpam-6517	714	17	and	and	CCONJ
ejpam-6517	714	18	naveen	naveen	PROPN
ejpam-6517	714	19	k.	k.	PROPN
ejpam-6517	714	20	vaidya	vaidya	PROPN
ejpam-6517	714	21	.	.	PUNCT
ejpam-6517	715	1	modeling	model	VERB
ejpam-6517	715	2	transmission	transmission	NOUN
ejpam-6517	715	3	dynamics	dynamic	NOUN
ejpam-6517	715	4	of	of	ADP
ejpam-6517	715	5	measles	measle	NOUN
ejpam-6517	715	6	in	in	ADP
ejpam-6517	715	7	nepal	nepal	NOUN
ejpam-6517	715	8	and	and	CCONJ
ejpam-6517	715	9	its	its	PRON
ejpam-6517	715	10	control	control	NOUN
ejpam-6517	715	11	with	with	ADP
ejpam-6517	715	12	monitored	monitored	ADJ
ejpam-6517	715	13	vaccination	vaccination	NOUN
ejpam-6517	715	14	program	program	NOUN
ejpam-6517	715	15	.	.	PUNCT
ejpam-6517	716	1	mathematical	mathematical	ADJ
ejpam-6517	716	2	biosciences	bioscience	NOUN
ejpam-6517	716	3	and	and	CCONJ
ejpam-6517	716	4	engineering	engineering	NOUN
ejpam-6517	716	5	,	,	PUNCT
ejpam-6517	716	6	19(8	19(8	NUM
ejpam-6517	716	7	)	)	PUNCT
ejpam-6517	716	8	,	,	PUNCT
ejpam-6517	716	9	2022	2022	NUM
ejpam-6517	716	10	.	.	PUNCT
ejpam-6517	717	1	[	[	X
ejpam-6517	717	2	10	10	NUM
ejpam-6517	717	3	]	]	X
ejpam-6517	717	4	david	david	PROPN
ejpam-6517	717	5	nuwahereze	nuwahereze	PROPN
ejpam-6517	717	6	,	,	PUNCT
ejpam-6517	717	7	martins	martin	VERB
ejpam-6517	717	8	onyekwelu	onyekwelu	PROPN
ejpam-6517	717	9	onuorah	onuorah	PROPN
ejpam-6517	717	10	,	,	PUNCT
ejpam-6517	717	11	baba	baba	PROPN
ejpam-6517	717	12	mohammed	mohammed	PROPN
ejpam-6517	717	13	abdulahi	abdulahi	ADV
ejpam-6517	717	14	,	,	PUNCT
ejpam-6517	717	15	and	and	CCONJ
ejpam-6517	717	16	innocent	innocent	ADJ
ejpam-6517	717	17	kabandana	kabandana	PROPN
ejpam-6517	717	18	.	.	PUNCT
ejpam-6517	718	1	standard	standard	ADJ
ejpam-6517	718	2	incidence	incidence	NOUN
ejpam-6517	718	3	model	model	NOUN
ejpam-6517	718	4	of	of	ADP
ejpam-6517	718	5	measles	measle	NOUN
ejpam-6517	718	6	with	with	ADP
ejpam-6517	718	7	two	two	NUM
ejpam-6517	718	8	vaccination	vaccination	NOUN
ejpam-6517	718	9	strategies	strategy	NOUN
ejpam-6517	718	10	.	.	PUNCT
ejpam-6517	719	1	world	world	NOUN
ejpam-6517	719	2	scientific	scientific	ADJ
ejpam-6517	719	3	news	news	NOUN
ejpam-6517	719	4	,	,	PUNCT
ejpam-6517	719	5	170:149–171	170:149–171	NUM
ejpam-6517	719	6	,	,	PUNCT
ejpam-6517	719	7	2022	2022	NUM
ejpam-6517	719	8	.	.	PUNCT
ejpam-6517	720	1	[	[	X
ejpam-6517	720	2	11	11	NUM
ejpam-6517	720	3	]	]	X
ejpam-6517	720	4	muhammad	muhammad	PROPN
ejpam-6517	720	5	fakhruddin	fakhruddin	PROPN
ejpam-6517	720	6	,	,	PUNCT
ejpam-6517	720	7	dani	dani	PROPN
ejpam-6517	720	8	suandi	suandi	PROPN
ejpam-6517	720	9	,	,	PUNCT
ejpam-6517	720	10	h.	h.	PROPN
ejpam-6517	720	11	fahlena	fahlena	PROPN
ejpam-6517	720	12	sumiati	sumiati	PROPN
ejpam-6517	720	13	,	,	PUNCT
ejpam-6517	720	14	nuning	nuning	NOUN
ejpam-6517	720	15	nuraini	nuraini	PROPN
ejpam-6517	720	16	,	,	PUNCT
ejpam-6517	720	17	and	and	CCONJ
ejpam-6517	720	18	edy	edy	PROPN
ejpam-6517	720	19	soewono	soewono	PROPN
ejpam-6517	720	20	.	.	PUNCT
ejpam-6517	721	1	investigation	investigation	NOUN
ejpam-6517	721	2	of	of	ADP
ejpam-6517	721	3	a	a	DET
ejpam-6517	721	4	measles	measle	NOUN
ejpam-6517	721	5	transmission	transmission	NOUN
ejpam-6517	721	6	with	with	ADP
ejpam-6517	721	7	vaccination	vaccination	NOUN
ejpam-6517	721	8	:	:	PUNCT
ejpam-6517	721	9	a	a	DET
ejpam-6517	721	10	case	case	NOUN
ejpam-6517	721	11	study	study	NOUN
ejpam-6517	721	12	in	in	ADP
ejpam-6517	721	13	jakarta	jakarta	PROPN
ejpam-6517	721	14	,	,	PUNCT
ejpam-6517	721	15	indonesia	indonesia	PROPN
ejpam-6517	721	16	.	.	PROPN
ejpam-6517	722	1	mathematical	mathematical	ADJ
ejpam-6517	722	2	biosciences	bioscience	NOUN
ejpam-6517	722	3	and	and	CCONJ
ejpam-6517	722	4	engineering	engineering	NOUN
ejpam-6517	722	5	,	,	PUNCT
ejpam-6517	722	6	17(4):2998–3018	17(4):2998–3018	NUM
ejpam-6517	722	7	,	,	PUNCT
ejpam-6517	722	8	2020	2020	NUM
ejpam-6517	722	9	.	.	PUNCT
ejpam-6517	723	1	[	[	X
ejpam-6517	723	2	12	12	NUM
ejpam-6517	723	3	]	]	X
ejpam-6517	723	4	dipo	dipo	NOUN
ejpam-6517	723	5	aldila	aldila	PROPN
ejpam-6517	723	6	and	and	CCONJ
ejpam-6517	723	7	dinda	dinda	PROPN
ejpam-6517	723	8	asrianti	asrianti	PROPN
ejpam-6517	723	9	.	.	PUNCT
ejpam-6517	724	1	a	a	DET
ejpam-6517	724	2	deterministic	deterministic	ADJ
ejpam-6517	724	3	model	model	NOUN
ejpam-6517	724	4	of	of	ADP
ejpam-6517	724	5	measles	measle	NOUN
ejpam-6517	724	6	with	with	ADP
ejpam-6517	724	7	imperfect	imperfect	ADJ
ejpam-6517	724	8	vaccination	vaccination	NOUN
ejpam-6517	724	9	and	and	CCONJ
ejpam-6517	724	10	quarantine	quarantine	NOUN
ejpam-6517	724	11	intervention	intervention	NOUN
ejpam-6517	724	12	.	.	PUNCT
ejpam-6517	725	1	in	in	ADP
ejpam-6517	725	2	journal	journal	PROPN
ejpam-6517	725	3	of	of	ADP
ejpam-6517	725	4	physics	physics	PROPN
ejpam-6517	725	5	:	:	PUNCT
ejpam-6517	725	6	conference	conference	NOUN
ejpam-6517	725	7	series	series	NOUN
ejpam-6517	725	8	,	,	PUNCT
ejpam-6517	725	9	volume	volume	NOUN
ejpam-6517	725	10	1218	1218	NUM
ejpam-6517	725	11	,	,	PUNCT
ejpam-6517	725	12	page	page	NOUN
ejpam-6517	725	13	012044	012044	NUM
ejpam-6517	725	14	.	.	PUNCT
ejpam-6517	726	1	iop	iop	PROPN
ejpam-6517	726	2	publishing	publishing	NOUN
ejpam-6517	726	3	,	,	PUNCT
ejpam-6517	726	4	2019	2019	NUM
ejpam-6517	726	5	.	.	PUNCT
ejpam-6517	727	1	[	[	X
ejpam-6517	727	2	13	13	NUM
ejpam-6517	727	3	]	]	X
ejpam-6517	727	4	sarah	sarah	PROPN
ejpam-6517	727	5	thompson	thompson	PROPN
ejpam-6517	727	6	,	,	PUNCT
ejpam-6517	727	7	johanna	johanna	PROPN
ejpam-6517	727	8	c.	c.	PROPN
ejpam-6517	727	9	meyer	meyer	PROPN
ejpam-6517	727	10	,	,	PUNCT
ejpam-6517	727	11	rosemary	rosemary	PROPN
ejpam-6517	727	12	j.	j.	PROPN
ejpam-6517	727	13	burnett	burnett	PROPN
ejpam-6517	727	14	,	,	PUNCT
ejpam-6517	727	15	and	and	CCONJ
ejpam-6517	727	16	stephen	stephen	PROPN
ejpam-6517	727	17	m.	m.	PROPN
ejpam-6517	727	18	campbell	campbell	PROPN
ejpam-6517	727	19	.	.	PUNCT
ejpam-6517	728	1	mitigating	mitigate	VERB
ejpam-6517	728	2	vaccine	vaccine	NOUN
ejpam-6517	728	3	hesitancy	hesitancy	NOUN
ejpam-6517	728	4	and	and	CCONJ
ejpam-6517	728	5	building	building	NOUN
ejpam-6517	728	6	trust	trust	NOUN
ejpam-6517	728	7	to	to	PART
ejpam-6517	728	8	prevent	prevent	VERB
ejpam-6517	728	9	future	future	ADJ
ejpam-6517	728	10	measles	measle	NOUN
ejpam-6517	728	11	outbreaks	outbreak	NOUN
ejpam-6517	728	12	in	in	ADP
ejpam-6517	728	13	england	england	PROPN
ejpam-6517	728	14	.	.	PUNCT
ejpam-6517	729	1	vaccines	vaccine	NOUN
ejpam-6517	729	2	,	,	PUNCT
ejpam-6517	729	3	11(2):288	11(2):288	NUM
ejpam-6517	729	4	,	,	PUNCT
ejpam-6517	729	5	2023	2023	NUM
ejpam-6517	729	6	.	.	PUNCT
ejpam-6517	730	1	[	[	X
ejpam-6517	730	2	14	14	NUM
ejpam-6517	730	3	]	]	X
ejpam-6517	730	4	w.	w.	PROPN
ejpam-6517	730	5	ahmad	ahmad	PROPN
ejpam-6517	730	6	,	,	PUNCT
ejpam-6517	730	7	a.	a.	PROPN
ejpam-6517	730	8	i.	i.	PROPN
ejpam-6517	730	9	k.	k.	PROPN
ejpam-6517	730	10	butt	butt	PROPN
ejpam-6517	730	11	,	,	PUNCT
ejpam-6517	730	12	m.	m.	PROPN
ejpam-6517	730	13	rafiq	rafiq	PROPN
ejpam-6517	730	14	,	,	PUNCT
ejpam-6517	730	15	z.	z.	PROPN
ejpam-6517	730	16	asif	asif	PROPN
ejpam-6517	730	17	,	,	PUNCT
ejpam-6517	730	18	t.	t.	NOUN
ejpam-6517	730	19	ismaeel	ismaeel	NOUN
ejpam-6517	730	20	,	,	PUNCT
ejpam-6517	730	21	and	and	CCONJ
ejpam-6517	730	22	n.	n.	PROPN
ejpam-6517	730	23	ahmad	ahmad	PROPN
ejpam-6517	730	24	.	.	PUNCT
ejpam-6517	731	1	modeling	modeling	NOUN
ejpam-6517	731	2	,	,	PUNCT
ejpam-6517	731	3	analyzing	analyze	VERB
ejpam-6517	731	4	and	and	CCONJ
ejpam-6517	731	5	simulating	simulate	VERB
ejpam-6517	731	6	the	the	DET
ejpam-6517	731	7	measles	measle	NOUN
ejpam-6517	731	8	transmission	transmission	NOUN
ejpam-6517	731	9	dynamics	dynamic	NOUN
ejpam-6517	731	10	through	through	ADP
ejpam-6517	731	11	efficient	efficient	ADJ
ejpam-6517	731	12	computational	computational	ADJ
ejpam-6517	731	13	optimal	optimal	ADJ
ejpam-6517	731	14	control	control	NOUN
ejpam-6517	731	15	technique	technique	NOUN
ejpam-6517	731	16	.	.	PUNCT
ejpam-6517	732	1	the	the	DET
ejpam-6517	732	2	european	european	PROPN
ejpam-6517	732	3	physical	physical	PROPN
ejpam-6517	732	4	journal	journal	PROPN
ejpam-6517	732	5	plus	plus	CCONJ
ejpam-6517	732	6	,	,	PUNCT
ejpam-6517	732	7	139(7):1–30	139(7):1–30	PROPN
ejpam-6517	732	8	,	,	PUNCT
ejpam-6517	732	9	2024	2024	NUM
ejpam-6517	732	10	.	.	PUNCT
ejpam-6517	733	1	[	[	X
ejpam-6517	733	2	15	15	NUM
ejpam-6517	733	3	]	]	X
ejpam-6517	733	4	goodluck	goodluck	NOUN
ejpam-6517	733	5	nchasi	nchasi	PROPN
ejpam-6517	733	6	,	,	PUNCT
ejpam-6517	733	7	innocent	innocent	ADJ
ejpam-6517	733	8	kitandu	kitandu	NOUN
ejpam-6517	733	9	paul	paul	PROPN
ejpam-6517	733	10	,	,	PUNCT
ejpam-6517	733	11	sospeter	sospeter	NOUN
ejpam-6517	733	12	berling	berling	PROPN
ejpam-6517	733	13	sospeter	sospeter	NOUN
ejpam-6517	733	14	,	,	PUNCT
ejpam-6517	733	15	margareth	margareth	PROPN
ejpam-6517	733	16	richard	richard	PROPN
ejpam-6517	733	17	mallya	mallya	PROPN
ejpam-6517	733	18	,	,	PUNCT
ejpam-6517	733	19	juvenali	juvenali	PROPN
ejpam-6517	733	20	ruaichi	ruaichi	NOUN
ejpam-6517	733	21	,	,	PUNCT
ejpam-6517	733	22	and	and	CCONJ
ejpam-6517	733	23	johnson	johnson	PROPN
ejpam-6517	733	24	malunga	malunga	PROPN
ejpam-6517	733	25	.	.	PUNCT
ejpam-6517	734	1	measles	measle	NOUN
ejpam-6517	734	2	outbreak	outbreak	VERB
ejpam-6517	734	3	in	in	ADP
ejpam-6517	734	4	sub	sub	ADJ
ejpam-6517	734	5	-	-	ADJ
ejpam-6517	734	6	saharan	saharan	ADJ
ejpam-6517	734	7	africa	africa	PROPN
ejpam-6517	734	8	amidst	amidst	ADP
ejpam-6517	734	9	covid-19	covid-19	PROPN
ejpam-6517	734	10	:	:	PUNCT
ejpam-6517	734	11	a	a	DET
ejpam-6517	734	12	rising	rise	VERB
ejpam-6517	734	13	concern	concern	NOUN
ejpam-6517	734	14	,	,	PUNCT
ejpam-6517	734	15	efforts	effort	NOUN
ejpam-6517	734	16	,	,	PUNCT
ejpam-6517	734	17	challenges	challenge	NOUN
ejpam-6517	734	18	,	,	PUNCT
ejpam-6517	734	19	and	and	CCONJ
ejpam-6517	734	20	future	future	ADJ
ejpam-6517	734	21	recommendations	recommendation	NOUN
ejpam-6517	734	22	.	.	PUNCT
ejpam-6517	735	1	annals	annal	NOUN
ejpam-6517	735	2	of	of	ADP
ejpam-6517	735	3	medicine	medicine	NOUN
ejpam-6517	735	4	and	and	CCONJ
ejpam-6517	735	5	surgery	surgery	NOUN
ejpam-6517	735	6	,	,	PUNCT
ejpam-6517	735	7	81	81	NUM
ejpam-6517	735	8	,	,	PUNCT
ejpam-6517	735	9	2022	2022	NUM
ejpam-6517	735	10	.	.	PUNCT
ejpam-6517	736	1	[	[	X
ejpam-6517	736	2	16	16	NUM
ejpam-6517	736	3	]	]	PUNCT
ejpam-6517	736	4	shinta	shinta	PROPN
ejpam-6517	736	5	a.	a.	PROPN
ejpam-6517	736	6	rahmayani	rahmayani	PROPN
ejpam-6517	736	7	,	,	PUNCT
ejpam-6517	736	8	dipo	dipo	PROPN
ejpam-6517	736	9	aldila	aldila	PROPN
ejpam-6517	736	10	,	,	PUNCT
ejpam-6517	736	11	and	and	CCONJ
ejpam-6517	736	12	bevina	bevina	PROPN
ejpam-6517	736	13	d.	d.	PROPN
ejpam-6517	736	14	handari	handari	PROPN
ejpam-6517	736	15	.	.	PUNCT
ejpam-6517	737	1	cost	cost	NOUN
ejpam-6517	737	2	-	-	PUNCT
ejpam-6517	737	3	effectiveness	effectiveness	NOUN
ejpam-6517	737	4	analysis	analysis	NOUN
ejpam-6517	737	5	on	on	ADP
ejpam-6517	737	6	measles	measle	NOUN
ejpam-6517	737	7	transmission	transmission	NOUN
ejpam-6517	737	8	with	with	ADP
ejpam-6517	737	9	vaccination	vaccination	NOUN
ejpam-6517	737	10	and	and	CCONJ
ejpam-6517	737	11	treatment	treatment	NOUN
ejpam-6517	737	12	intervention	intervention	NOUN
ejpam-6517	737	13	.	.	PUNCT
ejpam-6517	738	1	aims	aim	VERB
ejpam-6517	738	2	mathematics	mathematic	NOUN
ejpam-6517	738	3	,	,	PUNCT
ejpam-6517	738	4	6(11):12491–12527	6(11):12491–12527	NUM
ejpam-6517	738	5	,	,	PUNCT
ejpam-6517	738	6	2021	2021	NUM
ejpam-6517	738	7	.	.	PUNCT
ejpam-6517	739	1	[	[	X
ejpam-6517	739	2	17	17	NUM
ejpam-6517	739	3	]	]	X
ejpam-6517	739	4	yuyi	yuyi	PROPN
ejpam-6517	739	5	xue	xue	PROPN
ejpam-6517	739	6	,	,	PUNCT
ejpam-6517	739	7	xiaoe	xiaoe	PROPN
ejpam-6517	739	8	ruan	ruan	PROPN
ejpam-6517	739	9	,	,	PUNCT
ejpam-6517	739	10	and	and	CCONJ
ejpam-6517	739	11	yanni	yanni	PROPN
ejpam-6517	739	12	xiao	xiao	PROPN
ejpam-6517	739	13	.	.	PUNCT
ejpam-6517	740	1	measles	measle	NOUN
ejpam-6517	740	2	dynamics	dynamic	NOUN
ejpam-6517	740	3	on	on	ADP
ejpam-6517	740	4	network	network	NOUN
ejpam-6517	740	5	models	model	NOUN
ejpam-6517	740	6	with	with	ADP
ejpam-6517	740	7	optimal	optimal	ADJ
ejpam-6517	740	8	control	control	NOUN
ejpam-6517	740	9	strategies	strategy	NOUN
ejpam-6517	740	10	.	.	PUNCT
ejpam-6517	741	1	advances	advance	NOUN
ejpam-6517	741	2	in	in	ADP
ejpam-6517	741	3	difference	difference	NOUN
ejpam-6517	741	4	equations	equation	NOUN
ejpam-6517	741	5	,	,	PUNCT
ejpam-6517	741	6	2021(1):138	2021(1):138	NUM
ejpam-6517	741	7	,	,	PUNCT
ejpam-6517	741	8	2021	2021	NUM
ejpam-6517	741	9	.	.	PUNCT
ejpam-6517	742	1	[	[	X
ejpam-6517	742	2	18	18	NUM
ejpam-6517	742	3	]	]	X
ejpam-6517	742	4	ratchada	ratchada	PROPN
ejpam-6517	742	5	viriyapong	viriyapong	PROPN
ejpam-6517	742	6	and	and	CCONJ
ejpam-6517	742	7	witchaya	witchaya	PROPN
ejpam-6517	742	8	ridbamroong	ridbamroong	PROPN
ejpam-6517	742	9	.	.	PUNCT
ejpam-6517	743	1	global	global	ADJ
ejpam-6517	743	2	stability	stability	NOUN
ejpam-6517	743	3	analysis	analysis	NOUN
ejpam-6517	743	4	and	and	CCONJ
ejpam-6517	743	5	opm	opm	PROPN
ejpam-6517	743	6	.	.	PUNCT
ejpam-6517	744	1	mohiudin	mohiudin	PROPN
ejpam-6517	744	2	et	et	PROPN
ejpam-6517	744	3	al	al	PROPN
ejpam-6517	744	4	.	.	PUNCT
ejpam-6517	744	5	/	/	SYM
ejpam-6517	744	6	eur	eur	PROPN
ejpam-6517	744	7	.	.	PUNCT
ejpam-6517	745	1	j.	j.	PROPN
ejpam-6517	745	2	pure	pure	PROPN
ejpam-6517	745	3	appl	appl	PROPN
ejpam-6517	745	4	.	.	PROPN
ejpam-6517	745	5	math	math	PROPN
ejpam-6517	745	6	,	,	PUNCT
ejpam-6517	745	7	18	18	NUM
ejpam-6517	745	8	(	(	PUNCT
ejpam-6517	745	9	3	3	NUM
ejpam-6517	745	10	)	)	PUNCT
ejpam-6517	745	11	(	(	PUNCT
ejpam-6517	745	12	2025	2025	NUM
ejpam-6517	745	13	)	)	PUNCT
ejpam-6517	745	14	,	,	PUNCT
ejpam-6517	745	15	6517	6517	NUM
ejpam-6517	745	16	39	39	NUM
ejpam-6517	745	17	of	of	ADP
ejpam-6517	745	18	40	40	NUM
ejpam-6517	745	19	timal	timal	ADJ
ejpam-6517	745	20	control	control	NOUN
ejpam-6517	745	21	of	of	ADP
ejpam-6517	745	22	measles	measle	NOUN
ejpam-6517	745	23	model	model	VERB
ejpam-6517	745	24	with	with	ADP
ejpam-6517	745	25	vaccination	vaccination	NOUN
ejpam-6517	745	26	and	and	CCONJ
ejpam-6517	745	27	treatment	treatment	NOUN
ejpam-6517	745	28	.	.	PUNCT
ejpam-6517	746	1	journal	journal	PROPN
ejpam-6517	746	2	of	of	ADP
ejpam-6517	746	3	applied	apply	VERB
ejpam-6517	746	4	mathematics	mathematic	NOUN
ejpam-6517	746	5	and	and	CCONJ
ejpam-6517	746	6	computing	computing	NOUN
ejpam-6517	746	7	,	,	PUNCT
ejpam-6517	746	8	62(1):207–237	62(1):207–237	PROPN
ejpam-6517	746	9	,	,	PUNCT
ejpam-6517	746	10	2020	2020	NUM
ejpam-6517	746	11	.	.	PUNCT
ejpam-6517	747	1	[	[	X
ejpam-6517	747	2	19	19	NUM
ejpam-6517	747	3	]	]	X
ejpam-6517	747	4	dani	dani	PROPN
ejpam-6517	747	5	suandi	suandi	PROPN
ejpam-6517	747	6	.	.	PUNCT
ejpam-6517	748	1	optimal	optimal	ADJ
ejpam-6517	748	2	control	control	NOUN
ejpam-6517	748	3	problem	problem	NOUN
ejpam-6517	748	4	of	of	ADP
ejpam-6517	748	5	vaccination	vaccination	NOUN
ejpam-6517	748	6	for	for	ADP
ejpam-6517	748	7	the	the	DET
ejpam-6517	748	8	spread	spread	NOUN
ejpam-6517	748	9	of	of	ADP
ejpam-6517	748	10	measles	measle	NOUN
ejpam-6517	748	11	diseases	disease	NOUN
ejpam-6517	748	12	model	model	NOUN
ejpam-6517	748	13	.	.	PUNCT
ejpam-6517	749	1	jurnal	jurnal	PROPN
ejpam-6517	749	2	riset	riset	PROPN
ejpam-6517	749	3	dan	dan	PROPN
ejpam-6517	749	4	aplikasi	aplikasi	PROPN
ejpam-6517	749	5	matematika	matematika	PROPN
ejpam-6517	749	6	(	(	PUNCT
ejpam-6517	749	7	jram	jram	PROPN
ejpam-6517	749	8	)	)	PUNCT
ejpam-6517	749	9	,	,	PUNCT
ejpam-6517	749	10	2(2):76–83	2(2):76–83	NUM
ejpam-6517	749	11	,	,	PUNCT
ejpam-6517	749	12	2018	2018	NUM
ejpam-6517	749	13	.	.	PUNCT
ejpam-6517	750	1	[	[	X
ejpam-6517	750	2	20	20	NUM
ejpam-6517	750	3	]	]	X
ejpam-6517	750	4	md	md	PROPN
ejpam-6517	750	5	abdul	abdul	PROPN
ejpam-6517	750	6	kuddus	kuddus	PROPN
ejpam-6517	750	7	,	,	PUNCT
ejpam-6517	750	8	azizur	azizur	PROPN
ejpam-6517	750	9	rahman	rahman	PROPN
ejpam-6517	750	10	,	,	PUNCT
ejpam-6517	750	11	farzana	farzana	PROPN
ejpam-6517	750	12	alam	alam	PROPN
ejpam-6517	750	13	,	,	PUNCT
ejpam-6517	750	14	and	and	CCONJ
ejpam-6517	750	15	m.	m.	NOUN
ejpam-6517	750	16	mohiuddin	mohiuddin	NOUN
ejpam-6517	750	17	.	.	PUNCT
ejpam-6517	751	1	analysis	analysis	NOUN
ejpam-6517	751	2	of	of	ADP
ejpam-6517	751	3	the	the	DET
ejpam-6517	751	4	different	different	ADJ
ejpam-6517	751	5	interventions	intervention	NOUN
ejpam-6517	751	6	scenario	scenario	NOUN
ejpam-6517	751	7	for	for	ADP
ejpam-6517	751	8	programmatic	programmatic	ADJ
ejpam-6517	751	9	measles	measle	NOUN
ejpam-6517	751	10	control	control	VERB
ejpam-6517	751	11	in	in	ADP
ejpam-6517	751	12	bangladesh	bangladesh	PROPN
ejpam-6517	751	13	:	:	PUNCT
ejpam-6517	751	14	a	a	DET
ejpam-6517	751	15	modelling	model	VERB
ejpam-6517	751	16	study	study	NOUN
ejpam-6517	751	17	.	.	PUNCT
ejpam-6517	752	1	plos	plos	PROPN
ejpam-6517	752	2	one	one	NUM
ejpam-6517	752	3	,	,	PUNCT
ejpam-6517	752	4	18(6):e0283082	18(6):e0283082	NUM
ejpam-6517	752	5	,	,	PUNCT
ejpam-6517	752	6	2023	2023	NUM
ejpam-6517	752	7	.	.	PUNCT
ejpam-6517	753	1	[	[	X
ejpam-6517	753	2	21	21	NUM
ejpam-6517	753	3	]	]	X
ejpam-6517	753	4	hailay	hailay	X
ejpam-6517	753	5	weldegiorgis	weldegiorgis	NOUN
ejpam-6517	753	6	berhe	berhe	NOUN
ejpam-6517	753	7	and	and	CCONJ
ejpam-6517	753	8	oluwole	oluwole	PROPN
ejpam-6517	753	9	daniel	daniel	PROPN
ejpam-6517	753	10	makinde	makinde	PROPN
ejpam-6517	753	11	.	.	PUNCT
ejpam-6517	754	1	computational	computational	ADJ
ejpam-6517	754	2	modelling	modelling	NOUN
ejpam-6517	754	3	and	and	CCONJ
ejpam-6517	754	4	optimal	optimal	ADJ
ejpam-6517	754	5	control	control	NOUN
ejpam-6517	754	6	of	of	ADP
ejpam-6517	754	7	measles	measle	NOUN
ejpam-6517	754	8	epidemic	epidemic	NOUN
ejpam-6517	754	9	in	in	ADP
ejpam-6517	754	10	human	human	ADJ
ejpam-6517	754	11	population	population	NOUN
ejpam-6517	754	12	.	.	PUNCT
ejpam-6517	755	1	biosystems	biosystem	NOUN
ejpam-6517	755	2	,	,	PUNCT
ejpam-6517	755	3	190:104102	190:104102	NUM
ejpam-6517	755	4	,	,	PUNCT
ejpam-6517	755	5	2020	2020	NUM
ejpam-6517	755	6	.	.	PUNCT
ejpam-6517	756	1	[	[	X
ejpam-6517	756	2	22	22	NUM
ejpam-6517	756	3	]	]	PUNCT
ejpam-6517	756	4	s.	s.	PROPN
ejpam-6517	756	5	o.	o.	PROPN
ejpam-6517	756	6	adewale	adewale	PROPN
ejpam-6517	756	7	,	,	PUNCT
ejpam-6517	756	8	i.	i.	PROPN
ejpam-6517	756	9	a.	a.	PROPN
ejpam-6517	756	10	olopade	olopade	PROPN
ejpam-6517	756	11	,	,	PUNCT
ejpam-6517	756	12	s.	s.	PROPN
ejpam-6517	756	13	o.	o.	PROPN
ejpam-6517	756	14	ajao	ajao	PROPN
ejpam-6517	756	15	,	,	PUNCT
ejpam-6517	756	16	and	and	CCONJ
ejpam-6517	756	17	g.	g.	PROPN
ejpam-6517	756	18	a.	a.	PROPN
ejpam-6517	756	19	adeniran	adeniran	PROPN
ejpam-6517	756	20	.	.	PUNCT
ejpam-6517	757	1	optimal	optimal	ADJ
ejpam-6517	757	2	control	control	NOUN
ejpam-6517	757	3	analysis	analysis	NOUN
ejpam-6517	757	4	of	of	ADP
ejpam-6517	757	5	the	the	DET
ejpam-6517	757	6	dynamical	dynamical	ADJ
ejpam-6517	757	7	spread	spread	NOUN
ejpam-6517	757	8	of	of	ADP
ejpam-6517	757	9	measles	measle	NOUN
ejpam-6517	757	10	.	.	PUNCT
ejpam-6517	758	1	international	international	ADJ
ejpam-6517	758	2	journal	journal	PROPN
ejpam-6517	758	3	of	of	ADP
ejpam-6517	758	4	researchgranthaalayah	researchgranthaalayah	NOUN
ejpam-6517	758	5	,	,	PUNCT
ejpam-6517	758	6	2016	2016	NUM
ejpam-6517	758	7	.	.	PUNCT
ejpam-6517	759	1	[	[	X
ejpam-6517	759	2	23	23	NUM
ejpam-6517	759	3	]	]	X
ejpam-6517	759	4	chinwendu	chinwendu	PROPN
ejpam-6517	759	5	e.	e.	PROPN
ejpam-6517	759	6	madubueze	madubueze	PROPN
ejpam-6517	759	7	,	,	PUNCT
ejpam-6517	759	8	isaac	isaac	PROPN
ejpam-6517	759	9	o.	o.	PROPN
ejpam-6517	759	10	onwubuya	onwubuya	PROPN
ejpam-6517	759	11	,	,	PUNCT
ejpam-6517	759	12	and	and	CCONJ
ejpam-6517	759	13	iorwuese	iorwuese	ADJ
ejpam-6517	759	14	mzungwega	mzungwega	PROPN
ejpam-6517	759	15	.	.	PUNCT
ejpam-6517	760	1	controlling	control	VERB
ejpam-6517	760	2	the	the	DET
ejpam-6517	760	3	transmission	transmission	NOUN
ejpam-6517	760	4	dynamics	dynamic	NOUN
ejpam-6517	760	5	of	of	ADP
ejpam-6517	760	6	measles	measle	NOUN
ejpam-6517	760	7	infection	infection	NOUN
ejpam-6517	760	8	:	:	PUNCT
ejpam-6517	760	9	sensitivity	sensitivity	NOUN
ejpam-6517	760	10	analysis	analysis	NOUN
ejpam-6517	760	11	and	and	CCONJ
ejpam-6517	760	12	optimal	optimal	ADJ
ejpam-6517	760	13	control	control	NOUN
ejpam-6517	760	14	analysis	analysis	NOUN
ejpam-6517	760	15	approaches	approach	NOUN
ejpam-6517	760	16	.	.	PUNCT
ejpam-6517	761	1	ratio	ratio	PROPN
ejpam-6517	761	2	mathematica	mathematica	PROPN
ejpam-6517	761	3	,	,	PUNCT
ejpam-6517	761	4	43:41–63	43:41–63	NUM
ejpam-6517	761	5	,	,	PUNCT
ejpam-6517	761	6	2022	2022	NUM
ejpam-6517	761	7	.	.	PUNCT
ejpam-6517	762	1	[	[	X
ejpam-6517	762	2	24	24	NUM
ejpam-6517	762	3	]	]	X
ejpam-6517	762	4	peijiang	peijiang	PROPN
ejpam-6517	762	5	liu	liu	PROPN
ejpam-6517	762	6	,	,	PUNCT
ejpam-6517	762	7	rukhsar	rukhsar	PROPN
ejpam-6517	762	8	ikram	ikram	PROPN
ejpam-6517	762	9	,	,	PUNCT
ejpam-6517	762	10	amir	amir	PROPN
ejpam-6517	762	11	khan	khan	PROPN
ejpam-6517	762	12	,	,	PUNCT
ejpam-6517	762	13	and	and	CCONJ
ejpam-6517	762	14	anwarud	anwarud	PROPN
ejpam-6517	762	15	din	din	PROPN
ejpam-6517	762	16	.	.	PUNCT
ejpam-6517	763	1	the	the	DET
ejpam-6517	763	2	measles	measle	NOUN
ejpam-6517	763	3	epidemic	epidemic	NOUN
ejpam-6517	763	4	model	model	NOUN
ejpam-6517	763	5	assessment	assessment	NOUN
ejpam-6517	763	6	under	under	ADP
ejpam-6517	763	7	real	real	ADJ
ejpam-6517	763	8	statistics	statistic	NOUN
ejpam-6517	763	9	:	:	PUNCT
ejpam-6517	763	10	an	an	DET
ejpam-6517	763	11	application	application	NOUN
ejpam-6517	763	12	of	of	ADP
ejpam-6517	763	13	stochastic	stochastic	ADJ
ejpam-6517	763	14	optimal	optimal	ADJ
ejpam-6517	763	15	control	control	NOUN
ejpam-6517	763	16	theory	theory	NOUN
ejpam-6517	763	17	.	.	PUNCT
ejpam-6517	764	1	computer	computer	NOUN
ejpam-6517	764	2	methods	method	NOUN
ejpam-6517	764	3	in	in	ADP
ejpam-6517	764	4	biomechanics	biomechanic	NOUN
ejpam-6517	764	5	and	and	CCONJ
ejpam-6517	764	6	biomedical	biomedical	ADJ
ejpam-6517	764	7	engineering	engineering	NOUN
ejpam-6517	764	8	,	,	PUNCT
ejpam-6517	764	9	26(2):138	26(2):138	NUM
ejpam-6517	764	10	–	–	PUNCT
ejpam-6517	764	11	159	159	NUM
ejpam-6517	764	12	,	,	PUNCT
ejpam-6517	764	13	2023	2023	NUM
ejpam-6517	764	14	.	.	PUNCT
ejpam-6517	765	1	[	[	X
ejpam-6517	765	2	25	25	NUM
ejpam-6517	765	3	]	]	PUNCT
ejpam-6517	765	4	israr	israr	NOUN
ejpam-6517	765	5	ahmad	ahmad	PROPN
ejpam-6517	765	6	,	,	PUNCT
ejpam-6517	765	7	zeeshan	zeeshan	PROPN
ejpam-6517	765	8	ali	ali	PROPN
ejpam-6517	765	9	,	,	PUNCT
ejpam-6517	765	10	babar	babar	PROPN
ejpam-6517	765	11	khan	khan	PROPN
ejpam-6517	765	12	,	,	PUNCT
ejpam-6517	765	13	kamal	kamal	PROPN
ejpam-6517	765	14	shah	shah	PROPN
ejpam-6517	765	15	,	,	PUNCT
ejpam-6517	765	16	and	and	CCONJ
ejpam-6517	765	17	thabet	thabet	ADJ
ejpam-6517	765	18	abdeljawad	abdeljawad	NOUN
ejpam-6517	765	19	.	.	PUNCT
ejpam-6517	766	1	exploring	explore	VERB
ejpam-6517	766	2	the	the	DET
ejpam-6517	766	3	dynamics	dynamic	NOUN
ejpam-6517	766	4	of	of	ADP
ejpam-6517	766	5	gumboro	gumboro	NOUN
ejpam-6517	766	6	-	-	PUNCT
ejpam-6517	766	7	salmonella	salmonella	NOUN
ejpam-6517	766	8	co	co	NOUN
ejpam-6517	766	9	-	-	NOUN
ejpam-6517	766	10	infection	infection	NOUN
ejpam-6517	766	11	with	with	ADP
ejpam-6517	766	12	fractal	fractal	ADJ
ejpam-6517	766	13	fractional	fractional	ADJ
ejpam-6517	766	14	analysis	analysis	NOUN
ejpam-6517	766	15	.	.	PUNCT
ejpam-6517	767	1	alexandria	alexandria	PROPN
ejpam-6517	767	2	engineering	engineering	PROPN
ejpam-6517	767	3	journal	journal	PROPN
ejpam-6517	767	4	,	,	PUNCT
ejpam-6517	767	5	117:472–489	117:472–489	NUM
ejpam-6517	767	6	,	,	PUNCT
ejpam-6517	767	7	2025	2025	NUM
ejpam-6517	767	8	.	.	PUNCT
ejpam-6517	768	1	[	[	X
ejpam-6517	768	2	26	26	NUM
ejpam-6517	768	3	]	]	X
ejpam-6517	768	4	mdi	mdi	PROPN
ejpam-6517	768	5	begum	begum	PROPN
ejpam-6517	768	6	jeelani	jeelani	PROPN
ejpam-6517	768	7	,	,	PUNCT
ejpam-6517	768	8	abeer	abeer	PROPN
ejpam-6517	768	9	s.	s.	PROPN
ejpam-6517	768	10	alnahdi	alnahdi	PROPN
ejpam-6517	768	11	,	,	PUNCT
ejpam-6517	768	12	rahim	rahim	PROPN
ejpam-6517	768	13	ud	ud	INTJ
ejpam-6517	768	14	din	din	PROPN
ejpam-6517	768	15	,	,	PUNCT
ejpam-6517	768	16	hussam	hussam	PROPN
ejpam-6517	768	17	alrabaiah	alrabaiah	PROPN
ejpam-6517	768	18	,	,	PUNCT
ejpam-6517	768	19	and	and	CCONJ
ejpam-6517	768	20	azeem	azeem	PROPN
ejpam-6517	768	21	sultana	sultana	PROPN
ejpam-6517	768	22	.	.	PUNCT
ejpam-6517	769	1	mathematical	mathematical	ADJ
ejpam-6517	769	2	model	model	NOUN
ejpam-6517	769	3	to	to	PART
ejpam-6517	769	4	investigate	investigate	VERB
ejpam-6517	769	5	transmission	transmission	NOUN
ejpam-6517	769	6	dynamics	dynamic	NOUN
ejpam-6517	769	7	of	of	ADP
ejpam-6517	769	8	covid-19	covid-19	PROPN
ejpam-6517	769	9	with	with	ADP
ejpam-6517	769	10	vaccinated	vaccinated	ADJ
ejpam-6517	769	11	class	class	NOUN
ejpam-6517	769	12	.	.	PUNCT
ejpam-6517	770	1	aims	aim	VERB
ejpam-6517	770	2	mathematics	mathematic	NOUN
ejpam-6517	770	3	,	,	PUNCT
ejpam-6517	770	4	8(12):29932–29955	8(12):29932–29955	NUM
ejpam-6517	770	5	,	,	PUNCT
ejpam-6517	770	6	2023	2023	NUM
ejpam-6517	770	7	.	.	PUNCT
ejpam-6517	771	1	[	[	X
ejpam-6517	771	2	27	27	NUM
ejpam-6517	771	3	]	]	PUNCT
ejpam-6517	771	4	m.	m.	NOUN
ejpam-6517	771	5	lau	lau	PROPN
ejpam-6517	771	6	and	and	CCONJ
ejpam-6517	771	7	z.	z.	PROPN
ejpam-6517	771	8	g.	g.	PROPN
ejpam-6517	771	9	arenas	arenas	PROPN
ejpam-6517	771	10	.	.	PUNCT
ejpam-6517	772	1	stochastic	stochastic	ADJ
ejpam-6517	772	2	modeling	modeling	NOUN
ejpam-6517	772	3	of	of	ADP
ejpam-6517	772	4	a	a	DET
ejpam-6517	772	5	measles	measle	NOUN
ejpam-6517	772	6	outbreak	outbreak	NOUN
ejpam-6517	772	7	in	in	ADP
ejpam-6517	772	8	brazil	brazil	PROPN
ejpam-6517	772	9	.	.	PUNCT
ejpam-6517	773	1	trends	trend	NOUN
ejpam-6517	773	2	in	in	ADP
ejpam-6517	773	3	computational	computational	ADJ
ejpam-6517	773	4	and	and	CCONJ
ejpam-6517	773	5	applied	applied	ADJ
ejpam-6517	773	6	mathematics	mathematic	NOUN
ejpam-6517	773	7	,	,	PUNCT
ejpam-6517	773	8	24(3):459–473	24(3):459–473	NUM
ejpam-6517	773	9	,	,	PUNCT
ejpam-6517	773	10	2023	2023	NUM
ejpam-6517	773	11	.	.	PUNCT
ejpam-6517	774	1	[	[	X
ejpam-6517	774	2	28	28	NUM
ejpam-6517	774	3	]	]	X
ejpam-6517	774	4	muhammad	muhammad	PROPN
ejpam-6517	774	5	riaz	riaz	PROPN
ejpam-6517	774	6	,	,	PUNCT
ejpam-6517	774	7	zeeshan	zeeshan	PROPN
ejpam-6517	774	8	ali	ali	PROPN
ejpam-6517	774	9	,	,	PUNCT
ejpam-6517	774	10	rahim	rahim	PROPN
ejpam-6517	774	11	ud	ud	INTJ
ejpam-6517	774	12	din	din	PROPN
ejpam-6517	774	13	,	,	PUNCT
ejpam-6517	774	14	sadique	sadique	ADJ
ejpam-6517	774	15	ahmad	ahmad	NOUN
ejpam-6517	774	16	,	,	PUNCT
ejpam-6517	774	17	kamaleldin	kamaleldin	NOUN
ejpam-6517	774	18	abodayeh	abodayeh	NOUN
ejpam-6517	774	19	,	,	PUNCT
ejpam-6517	774	20	and	and	CCONJ
ejpam-6517	774	21	muhammad	muhammad	PROPN
ejpam-6517	774	22	sarwar	sarwar	PROPN
ejpam-6517	774	23	.	.	PUNCT
ejpam-6517	775	1	mathematical	mathematical	ADJ
ejpam-6517	775	2	modeling	modeling	NOUN
ejpam-6517	775	3	with	with	ADP
ejpam-6517	775	4	two	two	NUM
ejpam-6517	775	5	strains	strain	NOUN
ejpam-6517	775	6	to	to	PART
ejpam-6517	775	7	investigate	investigate	VERB
ejpam-6517	775	8	evolution	evolution	NOUN
ejpam-6517	775	9	of	of	ADP
ejpam-6517	775	10	covid-19	covid-19	PROPN
ejpam-6517	775	11	from	from	ADP
ejpam-6517	775	12	computational	computational	ADJ
ejpam-6517	775	13	and	and	CCONJ
ejpam-6517	775	14	theoretical	theoretical	ADJ
ejpam-6517	775	15	perspectives	perspective	NOUN
ejpam-6517	775	16	.	.	PUNCT
ejpam-6517	776	1	european	european	ADJ
ejpam-6517	776	2	journal	journal	PROPN
ejpam-6517	776	3	of	of	ADP
ejpam-6517	776	4	pure	pure	ADJ
ejpam-6517	776	5	and	and	CCONJ
ejpam-6517	776	6	applied	applied	ADJ
ejpam-6517	776	7	mathematics	mathematic	NOUN
ejpam-6517	776	8	,	,	PUNCT
ejpam-6517	776	9	18(2):6001–6001	18(2):6001–6001	NUM
ejpam-6517	776	10	,	,	PUNCT
ejpam-6517	776	11	2025	2025	NUM
ejpam-6517	776	12	.	.	PUNCT
ejpam-6517	777	1	[	[	X
ejpam-6517	777	2	29	29	NUM
ejpam-6517	777	3	]	]	X
ejpam-6517	777	4	haileyesus	haileyesus	NOUN
ejpam-6517	777	5	tessema	tessema	NOUN
ejpam-6517	777	6	alemneh	alemneh	NOUN
ejpam-6517	777	7	and	and	CCONJ
ejpam-6517	777	8	asnakew	asnakew	VERB
ejpam-6517	777	9	mesele	mesele	NOUN
ejpam-6517	777	10	belay	belay	NOUN
ejpam-6517	777	11	.	.	PUNCT
ejpam-6517	778	1	modelling	modelling	NOUN
ejpam-6517	778	2	,	,	PUNCT
ejpam-6517	778	3	analysis	analysis	NOUN
ejpam-6517	778	4	,	,	PUNCT
ejpam-6517	778	5	and	and	CCONJ
ejpam-6517	778	6	simulation	simulation	NOUN
ejpam-6517	778	7	of	of	ADP
ejpam-6517	778	8	measles	measle	NOUN
ejpam-6517	778	9	disease	disease	NOUN
ejpam-6517	778	10	transmission	transmission	NOUN
ejpam-6517	778	11	dynamics	dynamic	NOUN
ejpam-6517	778	12	.	.	PUNCT
ejpam-6517	779	1	discrete	discrete	ADJ
ejpam-6517	779	2	dynamics	dynamic	NOUN
ejpam-6517	779	3	in	in	ADP
ejpam-6517	779	4	nature	nature	NOUN
ejpam-6517	779	5	and	and	CCONJ
ejpam-6517	779	6	society	society	NOUN
ejpam-6517	779	7	,	,	PUNCT
ejpam-6517	779	8	2023(1):9353540	2023(1):9353540	NUM
ejpam-6517	779	9	,	,	PUNCT
ejpam-6517	779	10	2023	2023	NUM
ejpam-6517	779	11	.	.	PUNCT
ejpam-6517	780	1	[	[	X
ejpam-6517	780	2	30	30	NUM
ejpam-6517	780	3	]	]	X
ejpam-6517	780	4	olumuyiwa	olumuyiwa	PROPN
ejpam-6517	780	5	james	james	PROPN
ejpam-6517	780	6	peter	peter	PROPN
ejpam-6517	780	7	,	,	PUNCT
ejpam-6517	780	8	hasan	hasan	PROPN
ejpam-6517	780	9	s.	s.	PROPN
ejpam-6517	780	10	panigoro	panigoro	PROPN
ejpam-6517	780	11	,	,	PUNCT
ejpam-6517	780	12	mahmoud	mahmoud	PROPN
ejpam-6517	780	13	abdalla	abdalla	PROPN
ejpam-6517	780	14	ali	ali	PROPN
ejpam-6517	780	15	ibrahim	ibrahim	PROPN
ejpam-6517	780	16	,	,	PUNCT
ejpam-6517	780	17	olusegun	olusegun	PROPN
ejpam-6517	780	18	michael	michael	PROPN
ejpam-6517	780	19	otunuga	otunuga	PROPN
ejpam-6517	780	20	,	,	PUNCT
ejpam-6517	780	21	tawakalt	tawakalt	PROPN
ejpam-6517	780	22	abosede	abosede	PROPN
ejpam-6517	780	23	ayoola	ayoola	PROPN
ejpam-6517	780	24	,	,	PUNCT
ejpam-6517	780	25	and	and	CCONJ
ejpam-6517	780	26	asimiyu	asimiyu	PROPN
ejpam-6517	780	27	olalekan	olalekan	PROPN
ejpam-6517	780	28	oladapo	oladapo	PROPN
ejpam-6517	780	29	.	.	PUNCT
ejpam-6517	781	1	analysis	analysis	NOUN
ejpam-6517	781	2	and	and	CCONJ
ejpam-6517	781	3	dynamics	dynamic	NOUN
ejpam-6517	781	4	of	of	ADP
ejpam-6517	781	5	measles	measle	NOUN
ejpam-6517	781	6	with	with	ADP
ejpam-6517	781	7	control	control	NOUN
ejpam-6517	781	8	strategies	strategy	NOUN
ejpam-6517	781	9	:	:	PUNCT
ejpam-6517	781	10	a	a	DET
ejpam-6517	781	11	mathematical	mathematical	ADJ
ejpam-6517	781	12	modeling	modeling	NOUN
ejpam-6517	781	13	approach	approach	NOUN
ejpam-6517	781	14	.	.	PUNCT
ejpam-6517	782	1	international	international	ADJ
ejpam-6517	782	2	journal	journal	PROPN
ejpam-6517	782	3	of	of	ADP
ejpam-6517	782	4	dynamics	dynamic	NOUN
ejpam-6517	782	5	and	and	CCONJ
ejpam-6517	782	6	control	control	NOUN
ejpam-6517	782	7	,	,	PUNCT
ejpam-6517	782	8	11(5):2538–2552	11(5):2538–2552	NUM
ejpam-6517	782	9	,	,	PUNCT
ejpam-6517	782	10	2023	2023	NUM
ejpam-6517	782	11	.	.	PUNCT
ejpam-6517	783	1	[	[	X
ejpam-6517	783	2	31	31	NUM
ejpam-6517	783	3	]	]	X
ejpam-6517	783	4	kamal	kamal	PROPN
ejpam-6517	783	5	shah	shah	PROPN
ejpam-6517	783	6	,	,	PUNCT
ejpam-6517	783	7	khalil	khalil	PROPN
ejpam-6517	783	8	ur	ur	PROPN
ejpam-6517	783	9	rehman	rehman	PROPN
ejpam-6517	783	10	,	,	PUNCT
ejpam-6517	783	11	bahaaeldin	bahaaeldin	VERB
ejpam-6517	783	12	abdalla	abdalla	PROPN
ejpam-6517	783	13	,	,	PUNCT
ejpam-6517	783	14	thabet	thabet	ADJ
ejpam-6517	783	15	abdeljawad	abdeljawad	NOUN
ejpam-6517	783	16	,	,	PUNCT
ejpam-6517	783	17	andwasfi	andwasfi	PROPN
ejpam-6517	783	18	shatanawi	shatanawi	NOUN
ejpam-6517	783	19	.	.	PUNCT
ejpam-6517	784	1	using	use	VERB
ejpam-6517	784	2	neural	neural	ADJ
ejpam-6517	784	3	network	network	NOUN
ejpam-6517	784	4	and	and	CCONJ
ejpam-6517	784	5	fractals	fractal	VERB
ejpam-6517	784	6	fractional	fractional	ADJ
ejpam-6517	784	7	analysis	analysis	NOUN
ejpam-6517	784	8	to	to	PART
ejpam-6517	784	9	predict	predict	VERB
ejpam-6517	784	10	the	the	DET
ejpam-6517	784	11	eye	eye	NOUN
ejpam-6517	784	12	disease	disease	NOUN
ejpam-6517	784	13	infection	infection	NOUN
ejpam-6517	784	14	caused	cause	VERB
ejpam-6517	784	15	by	by	ADP
ejpam-6517	784	16	conjunctivitis	conjunctivitis	NOUN
ejpam-6517	784	17	virus	virus	NOUN
ejpam-6517	784	18	.	.	PUNCT
ejpam-6517	785	1	fractals	fractal	NOUN
ejpam-6517	785	2	,	,	PUNCT
ejpam-6517	785	3	page	page	NOUN
ejpam-6517	785	4	2540204	2540204	NUM
ejpam-6517	785	5	,	,	PUNCT
ejpam-6517	785	6	2025	2025	NUM
ejpam-6517	785	7	.	.	PUNCT
ejpam-6517	786	1	[	[	X
ejpam-6517	786	2	32	32	NUM
ejpam-6517	786	3	]	]	X
ejpam-6517	786	4	miled	miled	PROPN
ejpam-6517	786	5	el	el	PROPN
ejpam-6517	786	6	hajji	hajji	PROPN
ejpam-6517	786	7	and	and	CCONJ
ejpam-6517	786	8	amer	amer	PROPN
ejpam-6517	786	9	hassan	hassan	PROPN
ejpam-6517	786	10	albargi	albargi	PROPN
ejpam-6517	786	11	.	.	PUNCT
ejpam-6517	787	1	a	a	DET
ejpam-6517	787	2	mathematical	mathematical	ADJ
ejpam-6517	787	3	investigation	investigation	NOUN
ejpam-6517	787	4	of	of	ADP
ejpam-6517	787	5	an	an	DET
ejpam-6517	787	6	sveir	sveir	ADJ
ejpam-6517	787	7	m.	m.	NOUN
ejpam-6517	787	8	mohiudin	mohiudin	PROPN
ejpam-6517	787	9	et	et	PROPN
ejpam-6517	787	10	al	al	PROPN
ejpam-6517	787	11	.	.	PUNCT
ejpam-6517	787	12	/	/	SYM
ejpam-6517	787	13	eur	eur	PROPN
ejpam-6517	787	14	.	.	PUNCT
ejpam-6517	788	1	j.	j.	PROPN
ejpam-6517	788	2	pure	pure	PROPN
ejpam-6517	788	3	appl	appl	PROPN
ejpam-6517	788	4	.	.	PROPN
ejpam-6517	788	5	math	math	PROPN
ejpam-6517	788	6	,	,	PUNCT
ejpam-6517	788	7	18	18	NUM
ejpam-6517	788	8	(	(	PUNCT
ejpam-6517	788	9	3	3	NUM
ejpam-6517	788	10	)	)	PUNCT
ejpam-6517	788	11	(	(	PUNCT
ejpam-6517	788	12	2025	2025	NUM
ejpam-6517	788	13	)	)	PUNCT
ejpam-6517	788	14	,	,	PUNCT
ejpam-6517	788	15	6517	6517	NUM
ejpam-6517	788	16	40	40	NUM
ejpam-6517	788	17	of	of	ADP
ejpam-6517	788	18	40	40	NUM
ejpam-6517	788	19	epidemic	epidemic	NOUN
ejpam-6517	788	20	model	model	NOUN
ejpam-6517	788	21	for	for	ADP
ejpam-6517	788	22	the	the	DET
ejpam-6517	788	23	measles	measle	NOUN
ejpam-6517	788	24	transmission	transmission	NOUN
ejpam-6517	788	25	.	.	PUNCT
ejpam-6517	789	1	mathematical	mathematical	ADJ
ejpam-6517	789	2	biosciences	bioscience	NOUN
ejpam-6517	789	3	and	and	CCONJ
ejpam-6517	789	4	engineering	engineering	NOUN
ejpam-6517	789	5	,	,	PUNCT
ejpam-6517	789	6	19(3):2853–2875	19(3):2853–2875	NUM
ejpam-6517	789	7	,	,	PUNCT
ejpam-6517	789	8	2022	2022	NUM
ejpam-6517	789	9	.	.	PUNCT
ejpam-6517	790	1	[	[	X
ejpam-6517	790	2	33	33	NUM
ejpam-6517	790	3	]	]	PUNCT
ejpam-6517	790	4	w.	w.	PROPN
ejpam-6517	790	5	ahmad	ahmad	PROPN
ejpam-6517	790	6	,	,	PUNCT
ejpam-6517	790	7	a.	a.	PROPN
ejpam-6517	790	8	i.	i.	PROPN
ejpam-6517	790	9	k.	k.	PROPN
ejpam-6517	790	10	butt	butt	PROPN
ejpam-6517	790	11	,	,	PUNCT
ejpam-6517	790	12	m.	m.	PROPN
ejpam-6517	790	13	rafiq	rafiq	PROPN
ejpam-6517	790	14	,	,	PUNCT
ejpam-6517	790	15	z.	z.	PROPN
ejpam-6517	790	16	asif	asif	PROPN
ejpam-6517	790	17	,	,	PUNCT
ejpam-6517	790	18	t.	t.	NOUN
ejpam-6517	790	19	ismaeel	ismaeel	NOUN
ejpam-6517	790	20	,	,	PUNCT
ejpam-6517	790	21	and	and	CCONJ
ejpam-6517	790	22	n.	n.	PROPN
ejpam-6517	790	23	ahmad	ahmad	PROPN
ejpam-6517	790	24	.	.	PUNCT
ejpam-6517	791	1	modeling	modeling	NOUN
ejpam-6517	791	2	,	,	PUNCT
ejpam-6517	791	3	analyzing	analyze	VERB
ejpam-6517	791	4	and	and	CCONJ
ejpam-6517	791	5	simulating	simulate	VERB
ejpam-6517	791	6	the	the	DET
ejpam-6517	791	7	measles	measle	NOUN
ejpam-6517	791	8	transmission	transmission	NOUN
ejpam-6517	791	9	dynamics	dynamic	NOUN
ejpam-6517	791	10	through	through	ADP
ejpam-6517	791	11	efficient	efficient	ADJ
ejpam-6517	791	12	computational	computational	ADJ
ejpam-6517	791	13	optimal	optimal	ADJ
ejpam-6517	791	14	control	control	NOUN
ejpam-6517	791	15	technique	technique	NOUN
ejpam-6517	791	16	.	.	PUNCT
ejpam-6517	792	1	the	the	DET
ejpam-6517	792	2	european	european	PROPN
ejpam-6517	792	3	physical	physical	PROPN
ejpam-6517	792	4	journal	journal	PROPN
ejpam-6517	792	5	plus	plus	CCONJ
ejpam-6517	792	6	,	,	PUNCT
ejpam-6517	792	7	139(7):1–30	139(7):1–30	PROPN
ejpam-6517	792	8	,	,	PUNCT
ejpam-6517	792	9	2024	2024	NUM
ejpam-6517	792	10	.	.	PUNCT
ejpam-6517	793	1	[	[	X
ejpam-6517	793	2	34	34	NUM
ejpam-6517	793	3	]	]	X
ejpam-6517	793	4	meredith	meredith	PROPN
ejpam-6517	793	5	g.	g.	PROPN
ejpam-6517	793	6	dixon	dixon	PROPN
ejpam-6517	793	7	.	.	PUNCT
ejpam-6517	794	1	progress	progress	NOUN
ejpam-6517	794	2	toward	toward	ADP
ejpam-6517	794	3	regional	regional	ADJ
ejpam-6517	794	4	measles	measle	NOUN
ejpam-6517	794	5	elimination	elimination	NOUN
ejpam-6517	794	6	worldwide	worldwide	ADV
ejpam-6517	794	7	,	,	PUNCT
ejpam-6517	794	8	2000	2000	NUM
ejpam-6517	794	9	–	–	PUNCT
ejpam-6517	794	10	2020	2020	NUM
ejpam-6517	794	11	.	.	PUNCT
ejpam-6517	795	1	mmwr	mmwr	NOUN
ejpam-6517	795	2	.	.	PUNCT
ejpam-6517	796	1	morbidity	morbidity	NOUN
ejpam-6517	796	2	and	and	CCONJ
ejpam-6517	796	3	mortality	mortality	NOUN
ejpam-6517	796	4	weekly	weekly	ADJ
ejpam-6517	796	5	report	report	NOUN
ejpam-6517	796	6	,	,	PUNCT
ejpam-6517	796	7	70	70	NUM
ejpam-6517	796	8	,	,	PUNCT
ejpam-6517	796	9	2021	2021	NUM
ejpam-6517	796	10	.	.	PUNCT
ejpam-6517	797	1	[	[	X
ejpam-6517	797	2	35	35	NUM
ejpam-6517	797	3	]	]	X
ejpam-6517	797	4	paul	paul	PROPN
ejpam-6517	797	5	a.	a.	PROPN
ejpam-6517	797	6	gastanaduy	gastanaduy	PROPN
ejpam-6517	797	7	,	,	PUNCT
ejpam-6517	797	8	emily	emily	PROPN
ejpam-6517	797	9	banerjee	banerjee	PROPN
ejpam-6517	797	10	,	,	PUNCT
ejpam-6517	797	11	chas	chas	PROPN
ejpam-6517	797	12	debolt	debolt	PROPN
ejpam-6517	797	13	,	,	PUNCT
ejpam-6517	797	14	pamela	pamela	PROPN
ejpam-6517	797	15	bravo	bravo	PROPN
ejpam-6517	797	16	-	-	PUNCT
ejpam-6517	797	17	alcántara	alcántara	PROPN
ejpam-6517	797	18	,	,	PUNCT
ejpam-6517	797	19	samia	samia	PROPN
ejpam-6517	797	20	a.	a.	PROPN
ejpam-6517	797	21	samad	samad	PROPN
ejpam-6517	797	22	,	,	PUNCT
ejpam-6517	797	23	desiree	desiree	PROPN
ejpam-6517	797	24	pastor	pastor	PROPN
ejpam-6517	797	25	,	,	PUNCT
ejpam-6517	797	26	paul	paul	PROPN
ejpam-6517	797	27	a.	a.	PROPN
ejpam-6517	797	28	rota	rota	PROPN
ejpam-6517	797	29	,	,	PUNCT
ejpam-6517	797	30	manisha	manisha	PROPN
ejpam-6517	797	31	patel	patel	PROPN
ejpam-6517	797	32	,	,	PUNCT
ejpam-6517	797	33	natasha	natasha	PROPN
ejpam-6517	797	34	s.	s.	PROPN
ejpam-6517	797	35	crowcroft	crowcroft	PROPN
ejpam-6517	797	36	,	,	PUNCT
ejpam-6517	797	37	and	and	CCONJ
ejpam-6517	797	38	david	david	PROPN
ejpam-6517	797	39	n.	n.	PROPN
ejpam-6517	797	40	durrheim	durrheim	PROPN
ejpam-6517	797	41	.	.	PUNCT
ejpam-6517	798	1	public	public	ADJ
ejpam-6517	798	2	health	health	NOUN
ejpam-6517	798	3	responses	response	NOUN
ejpam-6517	798	4	during	during	ADP
ejpam-6517	798	5	measles	measle	NOUN
ejpam-6517	798	6	outbreaks	outbreak	NOUN
ejpam-6517	798	7	in	in	ADP
ejpam-6517	798	8	elimination	elimination	NOUN
ejpam-6517	798	9	settings	setting	NOUN
ejpam-6517	798	10	:	:	PUNCT
ejpam-6517	798	11	strategies	strategy	NOUN
ejpam-6517	798	12	and	and	CCONJ
ejpam-6517	798	13	challenges	challenge	NOUN
ejpam-6517	798	14	.	.	PUNCT
ejpam-6517	799	1	human	human	ADJ
ejpam-6517	799	2	vaccines	vaccine	NOUN
ejpam-6517	799	3	&	&	CCONJ
ejpam-6517	799	4	immunotherapeutics	immunotherapeutic	NOUN
ejpam-6517	799	5	,	,	PUNCT
ejpam-6517	799	6	14(9):2222–2238	14(9):2222–2238	NUM
ejpam-6517	799	7	,	,	PUNCT
ejpam-6517	799	8	2018	2018	NUM
ejpam-6517	799	9	.	.	PUNCT
ejpam-6517	800	1	[	[	X
ejpam-6517	800	2	36	36	NUM
ejpam-6517	800	3	]	]	X
ejpam-6517	800	4	md	md	PROPN
ejpam-6517	800	5	rafiul	rafiul	PROPN
ejpam-6517	800	6	islam	islam	PROPN
ejpam-6517	800	7	,	,	PUNCT
ejpam-6517	800	8	angela	angela	PROPN
ejpam-6517	800	9	peace	peace	PROPN
ejpam-6517	800	10	,	,	PUNCT
ejpam-6517	800	11	daniel	daniel	PROPN
ejpam-6517	800	12	medina	medina	PROPN
ejpam-6517	800	13	,	,	PUNCT
ejpam-6517	800	14	and	and	CCONJ
ejpam-6517	800	15	tamer	tame	ADJ
ejpam-6517	800	16	oraby	oraby	NOUN
ejpam-6517	800	17	.	.	PUNCT
ejpam-6517	801	1	integer	integer	NOUN
ejpam-6517	801	2	versus	versus	ADP
ejpam-6517	801	3	fractional	fractional	ADJ
ejpam-6517	801	4	order	order	NOUN
ejpam-6517	801	5	seir	seir	NOUN
ejpam-6517	801	6	deterministic	deterministic	ADJ
ejpam-6517	801	7	and	and	CCONJ
ejpam-6517	801	8	stochastic	stochastic	ADJ
ejpam-6517	801	9	models	model	NOUN
ejpam-6517	801	10	of	of	ADP
ejpam-6517	801	11	measles	measle	NOUN
ejpam-6517	801	12	.	.	PUNCT
ejpam-6517	802	1	international	international	ADJ
ejpam-6517	802	2	journal	journal	PROPN
ejpam-6517	802	3	of	of	ADP
ejpam-6517	802	4	environmental	environmental	ADJ
ejpam-6517	802	5	research	research	NOUN
ejpam-6517	802	6	and	and	CCONJ
ejpam-6517	802	7	public	public	ADJ
ejpam-6517	802	8	health	health	NOUN
ejpam-6517	802	9	,	,	PUNCT
ejpam-6517	802	10	17(6):2014	17(6):2014	NUM
ejpam-6517	802	11	,	,	PUNCT
ejpam-6517	802	12	2020	2020	NUM
ejpam-6517	802	13	.	.	PUNCT
ejpam-6517	803	1	[	[	X
ejpam-6517	803	2	37	37	NUM
ejpam-6517	803	3	]	]	X
ejpam-6517	803	4	rahim	rahim	PROPN
ejpam-6517	803	5	ud	ud	INTJ
ejpam-6517	803	6	din	din	PROPN
ejpam-6517	803	7	,	,	PUNCT
ejpam-6517	803	8	khalid	khalid	PROPN
ejpam-6517	803	9	ali	ali	PROPN
ejpam-6517	803	10	khan	khan	PROPN
ejpam-6517	803	11	,	,	PUNCT
ejpam-6517	803	12	ahmad	ahmad	PROPN
ejpam-6517	803	13	aloqaily	aloqaily	ADV
ejpam-6517	803	14	,	,	PUNCT
ejpam-6517	803	15	nabil	nabil	PROPN
ejpam-6517	803	16	mlaiki	mlaiki	PROPN
ejpam-6517	803	17	,	,	PUNCT
ejpam-6517	803	18	and	and	CCONJ
ejpam-6517	803	19	hussam	hussam	PROPN
ejpam-6517	803	20	alrabaiah	alrabaiah	PROPN
ejpam-6517	803	21	.	.	PUNCT
ejpam-6517	804	1	using	use	VERB
ejpam-6517	804	2	non	non	ADJ
ejpam-6517	804	3	-	-	ADJ
ejpam-6517	804	4	standard	standard	ADJ
ejpam-6517	804	5	finite	finite	ADJ
ejpam-6517	804	6	difference	difference	NOUN
ejpam-6517	804	7	scheme	scheme	NOUN
ejpam-6517	804	8	to	to	PART
ejpam-6517	804	9	study	study	VERB
ejpam-6517	804	10	classical	classical	ADJ
ejpam-6517	804	11	and	and	CCONJ
ejpam-6517	804	12	fractional	fractional	ADJ
ejpam-6517	804	13	order	order	NOUN
ejpam-6517	804	14	seivr	seivr	NOUN
ejpam-6517	804	15	model	model	NOUN
ejpam-6517	804	16	.	.	PUNCT
ejpam-6517	805	1	fractal	fractal	PROPN
ejpam-6517	805	2	and	and	CCONJ
ejpam-6517	805	3	fractional	fractional	ADJ
ejpam-6517	805	4	,	,	PUNCT
ejpam-6517	805	5	7(7):2504–3110	7(7):2504–3110	PROPN
ejpam-6517	805	6	,	,	PUNCT
ejpam-6517	805	7	2023	2023	NUM
ejpam-6517	805	8	.	.	PUNCT
ejpam-6517	806	1	[	[	X
ejpam-6517	806	2	38	38	NUM
ejpam-6517	806	3	]	]	PUNCT
ejpam-6517	806	4	abdon	abdon	NOUN
ejpam-6517	806	5	atangana	atangana	PROPN
ejpam-6517	806	6	and	and	CCONJ
ejpam-6517	806	7	seda	seda	PROPN
ejpam-6517	806	8	i̇ğret	i̇ğret	PROPN
ejpam-6517	806	9	araz	araz	NOUN
ejpam-6517	806	10	.	.	PUNCT
ejpam-6517	807	1	modeling	modeling	NOUN
ejpam-6517	807	2	and	and	CCONJ
ejpam-6517	807	3	forecasting	forecast	VERB
ejpam-6517	807	4	the	the	DET
ejpam-6517	807	5	spread	spread	NOUN
ejpam-6517	807	6	of	of	ADP
ejpam-6517	807	7	covid19	covid19	NOUN
ejpam-6517	807	8	with	with	ADP
ejpam-6517	807	9	stochastic	stochastic	ADJ
ejpam-6517	807	10	and	and	CCONJ
ejpam-6517	807	11	deterministic	deterministic	ADJ
ejpam-6517	807	12	approaches	approach	NOUN
ejpam-6517	807	13	:	:	PUNCT
ejpam-6517	807	14	africa	africa	PROPN
ejpam-6517	807	15	and	and	CCONJ
ejpam-6517	807	16	europe	europe	PROPN
ejpam-6517	807	17	.	.	PUNCT
ejpam-6517	808	1	advances	advance	NOUN
ejpam-6517	808	2	in	in	ADP
ejpam-6517	808	3	difference	difference	NOUN
ejpam-6517	808	4	equations	equation	NOUN
ejpam-6517	808	5	,	,	PUNCT
ejpam-6517	808	6	2021(1):57	2021(1):57	NOUN
ejpam-6517	808	7	,	,	PUNCT
ejpam-6517	808	8	2021	2021	NUM
ejpam-6517	808	9	.	.	PUNCT