id	sid	tid	token	lemma	pos
ejpam-6364	1	1	european	european	PROPN
ejpam-6364	1	2	journal	journal	PROPN
ejpam-6364	1	3	of	of	ADP
ejpam-6364	1	4	pure	pure	ADJ
ejpam-6364	1	5	and	and	CCONJ
ejpam-6364	1	6	applied	applied	ADJ
ejpam-6364	1	7	mathematics	mathematic	NOUN
ejpam-6364	1	8	2025	2025	NUM
ejpam-6364	1	9	,	,	PUNCT
ejpam-6364	1	10	vol	vol	NOUN
ejpam-6364	1	11	.	.	PROPN
ejpam-6364	1	12	18	18	NUM
ejpam-6364	1	13	,	,	PUNCT
ejpam-6364	1	14	issue	issue	NOUN
ejpam-6364	1	15	4	4	NUM
ejpam-6364	1	16	,	,	PUNCT
ejpam-6364	1	17	article	article	NOUN
ejpam-6364	1	18	number	number	NOUN
ejpam-6364	1	19	6364	6364	NUM
ejpam-6364	1	20	issn	issn	PROPN
ejpam-6364	1	21	1307	1307	NUM
ejpam-6364	1	22	-	-	SYM
ejpam-6364	1	23	5543	5543	NUM
ejpam-6364	1	24	–	–	PUNCT
ejpam-6364	1	25	ejpam.com	ejpam.com	X
ejpam-6364	1	26	published	publish	VERB
ejpam-6364	1	27	by	by	ADP
ejpam-6364	1	28	new	new	PROPN
ejpam-6364	1	29	york	york	PROPN
ejpam-6364	1	30	business	business	PROPN
ejpam-6364	1	31	global	global	ADJ
ejpam-6364	1	32	modeling	modeling	NOUN
ejpam-6364	1	33	of	of	ADP
ejpam-6364	1	34	eye	eye	NOUN
ejpam-6364	1	35	infection	infection	NOUN
ejpam-6364	1	36	transmitting	transmit	VERB
ejpam-6364	1	37	by	by	ADP
ejpam-6364	1	38	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	1	39	adenovirus	adenovirus	NOUN
ejpam-6364	1	40	:	:	PUNCT
ejpam-6364	1	41	deterministic	deterministic	ADJ
ejpam-6364	1	42	and	and	CCONJ
ejpam-6364	1	43	stochastic	stochastic	ADJ
ejpam-6364	1	44	approach	approach	NOUN
ejpam-6364	1	45	rahim	rahim	PROPN
ejpam-6364	1	46	ud	ud	ADP
ejpam-6364	1	47	din1,∗	din1,∗	PROPN
ejpam-6364	1	48	,	,	PUNCT
ejpam-6364	1	49	naveed	naveed	PROPN
ejpam-6364	1	50	ahmad2	ahmad2	PROPN
ejpam-6364	1	51	,	,	PUNCT
ejpam-6364	1	52	sadique	sadique	ADJ
ejpam-6364	1	53	ahmad3	ahmad3	PROPN
ejpam-6364	1	54	,	,	PUNCT
ejpam-6364	1	55	puntani	puntani	X
ejpam-6364	1	56	pongsumpun1	pongsumpun1	NOUN
ejpam-6364	1	57	1	1	NUM
ejpam-6364	1	58	department	department	NOUN
ejpam-6364	1	59	of	of	ADP
ejpam-6364	1	60	mathematics	mathematic	NOUN
ejpam-6364	1	61	,	,	PUNCT
ejpam-6364	1	62	school	school	NOUN
ejpam-6364	1	63	of	of	ADP
ejpam-6364	1	64	science	science	NOUN
ejpam-6364	1	65	,	,	PUNCT
ejpam-6364	1	66	king	king	PROPN
ejpam-6364	1	67	mongkut	mongkut	PROPN
ejpam-6364	1	68	’s	’s	PROPN
ejpam-6364	1	69	institute	institute	PROPN
ejpam-6364	1	70	of	of	ADP
ejpam-6364	1	71	technology	technology	PROPN
ejpam-6364	1	72	ladkrabang	ladkrabang	PROPN
ejpam-6364	1	73	,	,	PUNCT
ejpam-6364	1	74	bangkok	bangkok	PROPN
ejpam-6364	1	75	,	,	PUNCT
ejpam-6364	1	76	thailand	thailand	PROPN
ejpam-6364	1	77	2	2	NUM
ejpam-6364	1	78	eias	eias	PROPN
ejpam-6364	1	79	data	data	NOUN
ejpam-6364	1	80	science	science	NOUN
ejpam-6364	1	81	and	and	CCONJ
ejpam-6364	1	82	blockchain	blockchain	PROPN
ejpam-6364	1	83	lab	lab	PROPN
ejpam-6364	1	84	,	,	PUNCT
ejpam-6364	1	85	ccis	ccis	PROPN
ejpam-6364	1	86	,	,	PUNCT
ejpam-6364	1	87	prince	prince	PROPN
ejpam-6364	1	88	sultan	sultan	PROPN
ejpam-6364	1	89	university	university	PROPN
ejpam-6364	1	90	,	,	PUNCT
ejpam-6364	1	91	riyadh	riyadh	PROPN
ejpam-6364	1	92	11586	11586	NUM
ejpam-6364	1	93	,	,	PUNCT
ejpam-6364	1	94	saudi	saudi	PROPN
ejpam-6364	1	95	arabia	arabia	PROPN
ejpam-6364	1	96	3	3	NUM
ejpam-6364	1	97	department	department	NOUN
ejpam-6364	1	98	of	of	ADP
ejpam-6364	1	99	computer	computer	PROPN
ejpam-6364	1	100	science	science	PROPN
ejpam-6364	1	101	ccis	ccis	PROPN
ejpam-6364	1	102	,	,	PUNCT
ejpam-6364	1	103	prince	prince	PROPN
ejpam-6364	1	104	sultan	sultan	PROPN
ejpam-6364	1	105	university	university	PROPN
ejpam-6364	1	106	,	,	PUNCT
ejpam-6364	1	107	riyadh	riyadh	PROPN
ejpam-6364	1	108	11586	11586	NUM
ejpam-6364	1	109	,	,	PUNCT
ejpam-6364	1	110	saudi	saudi	PROPN
ejpam-6364	1	111	arabia	arabia	PROPN
ejpam-6364	1	112	abstract	abstract	NOUN
ejpam-6364	1	113	.	.	PUNCT
ejpam-6364	2	1	this	this	DET
ejpam-6364	2	2	study	study	NOUN
ejpam-6364	2	3	develops	develop	VERB
ejpam-6364	2	4	a	a	DET
ejpam-6364	2	5	mathematical	mathematical	ADJ
ejpam-6364	2	6	model	model	NOUN
ejpam-6364	2	7	to	to	PART
ejpam-6364	2	8	investigate	investigate	VERB
ejpam-6364	2	9	the	the	DET
ejpam-6364	2	10	early	early	ADJ
ejpam-6364	2	11	diagnosis	diagnosis	NOUN
ejpam-6364	2	12	and	and	CCONJ
ejpam-6364	2	13	treatment	treatment	NOUN
ejpam-6364	2	14	of	of	ADP
ejpam-6364	2	15	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	2	16	caused	cause	VERB
ejpam-6364	2	17	by	by	ADP
ejpam-6364	2	18	adenovirus	adenovirus	NOUN
ejpam-6364	2	19	,	,	PUNCT
ejpam-6364	2	20	incorporating	incorporate	VERB
ejpam-6364	2	21	both	both	CCONJ
ejpam-6364	2	22	deterministic	deterministic	ADJ
ejpam-6364	2	23	and	and	CCONJ
ejpam-6364	2	24	stochastic	stochastic	ADJ
ejpam-6364	2	25	approaches	approach	NOUN
ejpam-6364	2	26	to	to	PART
ejpam-6364	2	27	capture	capture	VERB
ejpam-6364	2	28	disease	disease	NOUN
ejpam-6364	2	29	dynamics	dynamic	NOUN
ejpam-6364	2	30	.	.	PUNCT
ejpam-6364	3	1	the	the	DET
ejpam-6364	3	2	model	model	NOUN
ejpam-6364	3	3	’s	’s	PART
ejpam-6364	3	4	fundamental	fundamental	ADJ
ejpam-6364	3	5	properties	property	NOUN
ejpam-6364	3	6	,	,	PUNCT
ejpam-6364	3	7	including	include	VERB
ejpam-6364	3	8	boundedness	boundedness	NOUN
ejpam-6364	3	9	and	and	CCONJ
ejpam-6364	3	10	uniqueness	uniqueness	NOUN
ejpam-6364	3	11	,	,	PUNCT
ejpam-6364	3	12	are	be	AUX
ejpam-6364	3	13	analyzed	analyze	VERB
ejpam-6364	3	14	to	to	PART
ejpam-6364	3	15	ensure	ensure	VERB
ejpam-6364	3	16	reliability	reliability	NOUN
ejpam-6364	3	17	,	,	PUNCT
ejpam-6364	3	18	and	and	CCONJ
ejpam-6364	3	19	equilibrium	equilibrium	NOUN
ejpam-6364	3	20	points	point	NOUN
ejpam-6364	3	21	are	be	AUX
ejpam-6364	3	22	established	establish	VERB
ejpam-6364	3	23	for	for	ADP
ejpam-6364	3	24	the	the	DET
ejpam-6364	3	25	deterministic	deterministic	ADJ
ejpam-6364	3	26	framework	framework	NOUN
ejpam-6364	3	27	.	.	PUNCT
ejpam-6364	4	1	the	the	DET
ejpam-6364	4	2	basic	basic	ADJ
ejpam-6364	4	3	reproduction	reproduction	NOUN
ejpam-6364	4	4	number	number	NOUN
ejpam-6364	4	5	is	be	AUX
ejpam-6364	4	6	derived	derive	VERB
ejpam-6364	4	7	and	and	CCONJ
ejpam-6364	4	8	subjected	subject	VERB
ejpam-6364	4	9	to	to	ADP
ejpam-6364	4	10	sensitivity	sensitivity	NOUN
ejpam-6364	4	11	analysis	analysis	NOUN
ejpam-6364	4	12	to	to	PART
ejpam-6364	4	13	evaluate	evaluate	VERB
ejpam-6364	4	14	how	how	SCONJ
ejpam-6364	4	15	key	key	ADJ
ejpam-6364	4	16	parameters	parameter	NOUN
ejpam-6364	4	17	influence	influence	VERB
ejpam-6364	4	18	the	the	DET
ejpam-6364	4	19	spread	spread	NOUN
ejpam-6364	4	20	of	of	ADP
ejpam-6364	4	21	infection	infection	NOUN
ejpam-6364	4	22	.	.	PUNCT
ejpam-6364	5	1	numerical	numerical	ADJ
ejpam-6364	5	2	simulations	simulation	NOUN
ejpam-6364	5	3	,	,	PUNCT
ejpam-6364	5	4	conducted	conduct	VERB
ejpam-6364	5	5	using	use	VERB
ejpam-6364	5	6	a	a	DET
ejpam-6364	5	7	nonstandard	nonstandard	ADJ
ejpam-6364	5	8	finite	finite	ADJ
ejpam-6364	5	9	difference	difference	NOUN
ejpam-6364	5	10	(	(	PUNCT
ejpam-6364	5	11	nsfd	nsfd	ADJ
ejpam-6364	5	12	)	)	PUNCT
ejpam-6364	5	13	scheme	scheme	NOUN
ejpam-6364	5	14	for	for	ADP
ejpam-6364	5	15	the	the	DET
ejpam-6364	5	16	deterministic	deterministic	ADJ
ejpam-6364	5	17	model	model	NOUN
ejpam-6364	5	18	and	and	CCONJ
ejpam-6364	5	19	stochastic	stochastic	ADJ
ejpam-6364	5	20	methods	method	NOUN
ejpam-6364	5	21	for	for	ADP
ejpam-6364	5	22	the	the	DET
ejpam-6364	5	23	probabilistic	probabilistic	ADJ
ejpam-6364	5	24	model	model	NOUN
ejpam-6364	5	25	,	,	PUNCT
ejpam-6364	5	26	reveal	reveal	VERB
ejpam-6364	5	27	that	that	SCONJ
ejpam-6364	5	28	individuals	individual	NOUN
ejpam-6364	5	29	with	with	ADP
ejpam-6364	5	30	strong	strong	ADJ
ejpam-6364	5	31	immune	immune	ADJ
ejpam-6364	5	32	systems	system	NOUN
ejpam-6364	5	33	can	can	AUX
ejpam-6364	5	34	recover	recover	VERB
ejpam-6364	5	35	without	without	ADP
ejpam-6364	5	36	medical	medical	ADJ
ejpam-6364	5	37	intervention	intervention	NOUN
ejpam-6364	5	38	,	,	PUNCT
ejpam-6364	5	39	highlighting	highlight	VERB
ejpam-6364	5	40	the	the	DET
ejpam-6364	5	41	critical	critical	ADJ
ejpam-6364	5	42	role	role	NOUN
ejpam-6364	5	43	of	of	ADP
ejpam-6364	5	44	immune	immune	ADJ
ejpam-6364	5	45	strength	strength	NOUN
ejpam-6364	5	46	in	in	ADP
ejpam-6364	5	47	controlling	control	VERB
ejpam-6364	5	48	disease	disease	NOUN
ejpam-6364	5	49	transmission	transmission	NOUN
ejpam-6364	5	50	.	.	PUNCT
ejpam-6364	6	1	these	these	DET
ejpam-6364	6	2	findings	finding	NOUN
ejpam-6364	6	3	contribute	contribute	VERB
ejpam-6364	6	4	to	to	ADP
ejpam-6364	6	5	a	a	DET
ejpam-6364	6	6	deeper	deep	ADJ
ejpam-6364	6	7	understanding	understanding	NOUN
ejpam-6364	6	8	of	of	ADP
ejpam-6364	6	9	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	6	10	dynamics	dynamic	NOUN
ejpam-6364	6	11	and	and	CCONJ
ejpam-6364	6	12	provide	provide	VERB
ejpam-6364	6	13	valuable	valuable	ADJ
ejpam-6364	6	14	insights	insight	NOUN
ejpam-6364	6	15	for	for	ADP
ejpam-6364	6	16	designing	design	VERB
ejpam-6364	6	17	effective	effective	ADJ
ejpam-6364	6	18	control	control	NOUN
ejpam-6364	6	19	strategies	strategy	NOUN
ejpam-6364	6	20	based	base	VERB
ejpam-6364	6	21	on	on	ADP
ejpam-6364	6	22	early	early	ADJ
ejpam-6364	6	23	diagnosis	diagnosis	NOUN
ejpam-6364	6	24	and	and	CCONJ
ejpam-6364	6	25	treatment	treatment	NOUN
ejpam-6364	6	26	.	.	PUNCT
ejpam-6364	7	1	2020	2020	NUM
ejpam-6364	7	2	mathematics	mathematic	NOUN
ejpam-6364	7	3	subject	subject	NOUN
ejpam-6364	7	4	classifications	classification	NOUN
ejpam-6364	7	5	:	:	PUNCT
ejpam-6364	7	6	92b05	92b05	NUM
ejpam-6364	7	7	,	,	PUNCT
ejpam-6364	7	8	92d30	92d30	NUM
ejpam-6364	7	9	,	,	PUNCT
ejpam-6364	7	10	93a30	93a30	NUM
ejpam-6364	7	11	key	key	ADJ
ejpam-6364	7	12	words	word	NOUN
ejpam-6364	7	13	and	and	CCONJ
ejpam-6364	7	14	phrases	phrase	NOUN
ejpam-6364	7	15	:	:	PUNCT
ejpam-6364	7	16	eye	eye	NOUN
ejpam-6364	7	17	infection	infection	NOUN
ejpam-6364	7	18	,	,	PUNCT
ejpam-6364	7	19	adenovirus	adenovirus	NOUN
ejpam-6364	7	20	,	,	PUNCT
ejpam-6364	7	21	sensitivity	sensitivity	NOUN
ejpam-6364	7	22	analysis	analysis	NOUN
ejpam-6364	7	23	,	,	PUNCT
ejpam-6364	7	24	sitr	sitr	NOUN
ejpam-6364	7	25	model	model	NOUN
ejpam-6364	7	26	,	,	PUNCT
ejpam-6364	7	27	nsfd	nsfd	ADJ
ejpam-6364	7	28	scheme	scheme	NOUN
ejpam-6364	7	29	,	,	PUNCT
ejpam-6364	7	30	stochastic	stochastic	ADJ
ejpam-6364	7	31	model	model	NOUN
ejpam-6364	7	32	1	1	NUM
ejpam-6364	7	33	.	.	PUNCT
ejpam-6364	7	34	introduction	introduction	NOUN
ejpam-6364	7	35	over	over	ADP
ejpam-6364	7	36	the	the	DET
ejpam-6364	7	37	past	past	ADJ
ejpam-6364	7	38	few	few	ADJ
ejpam-6364	7	39	decades	decade	NOUN
ejpam-6364	7	40	,	,	PUNCT
ejpam-6364	7	41	the	the	DET
ejpam-6364	7	42	field	field	NOUN
ejpam-6364	7	43	of	of	ADP
ejpam-6364	7	44	biological	biological	ADJ
ejpam-6364	7	45	research	research	NOUN
ejpam-6364	7	46	has	have	AUX
ejpam-6364	7	47	expanded	expand	VERB
ejpam-6364	7	48	considerably	considerably	ADV
ejpam-6364	7	49	,	,	PUNCT
ejpam-6364	7	50	and	and	CCONJ
ejpam-6364	7	51	this	this	DET
ejpam-6364	7	52	growth	growth	NOUN
ejpam-6364	7	53	is	be	AUX
ejpam-6364	7	54	expected	expect	VERB
ejpam-6364	7	55	to	to	PART
ejpam-6364	7	56	continue	continue	VERB
ejpam-6364	7	57	with	with	ADP
ejpam-6364	7	58	ongoing	ongoing	ADJ
ejpam-6364	7	59	technological	technological	ADJ
ejpam-6364	7	60	advancements	advancement	NOUN
ejpam-6364	7	61	.	.	PUNCT
ejpam-6364	8	1	mathematicians	mathematician	NOUN
ejpam-6364	8	2	have	have	AUX
ejpam-6364	8	3	played	play	VERB
ejpam-6364	8	4	a	a	DET
ejpam-6364	8	5	key	key	ADJ
ejpam-6364	8	6	role	role	NOUN
ejpam-6364	8	7	in	in	ADP
ejpam-6364	8	8	driving	drive	VERB
ejpam-6364	8	9	progress	progress	NOUN
ejpam-6364	8	10	,	,	PUNCT
ejpam-6364	8	11	contributing	contribute	VERB
ejpam-6364	8	12	significant	significant	ADJ
ejpam-6364	8	13	developments	development	NOUN
ejpam-6364	8	14	∗corresponding	∗corresponde	VERB
ejpam-6364	8	15	author	author	NOUN
ejpam-6364	8	16	.	.	PUNCT
ejpam-6364	9	1	doi	doi	NOUN
ejpam-6364	9	2	:	:	PUNCT
ejpam-6364	9	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6364	https://doi.org/10.29020/nybg.ejpam.v18i4.6364	VERB
ejpam-6364	9	4	email	email	NOUN
ejpam-6364	9	5	addresses	address	VERB
ejpam-6364	9	6	:	:	PUNCT
ejpam-6364	9	7	67056116@kmitl.ac.th	67056116@kmitl.ac.th	NUM
ejpam-6364	9	8	(	(	PUNCT
ejpam-6364	9	9	r.	r.	PROPN
ejpam-6364	9	10	ud	ud	ADV
ejpam-6364	9	11	din	din	PROPN
ejpam-6364	9	12	)	)	PUNCT
ejpam-6364	9	13	,	,	PUNCT
ejpam-6364	9	14	nahmed@psu.edu.sa	nahmed@psu.edu.sa	PROPN
ejpam-6364	9	15	(	(	PUNCT
ejpam-6364	9	16	n.	n.	PROPN
ejpam-6364	9	17	ahmad	ahmad	PROPN
ejpam-6364	9	18	)	)	PUNCT
ejpam-6364	9	19	,	,	PUNCT
ejpam-6364	9	20	saahmad@psu.edu.sa	saahmad@psu.edu.sa	PROPN
ejpam-6364	9	21	(	(	PUNCT
ejpam-6364	9	22	s.	s.	PROPN
ejpam-6364	9	23	ahmad	ahmad	PROPN
ejpam-6364	9	24	)	)	PUNCT
ejpam-6364	9	25	,	,	PUNCT
ejpam-6364	9	26	puntani.po@kmitl.ac.th	puntani.po@kmitl.ac.th	NOUN
ejpam-6364	9	27	(	(	PUNCT
ejpam-6364	9	28	p.	p.	NOUN
ejpam-6364	9	29	pongsumpun	pongsumpun	NOUN
ejpam-6364	9	30	)	)	PUNCT
ejpam-6364	9	31	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6364	10	1	1	1	NUM
ejpam-6364	10	2	copyright	copyright	NOUN
ejpam-6364	10	3	:	:	PUNCT
ejpam-6364	10	4	©	©	PROPN
ejpam-6364	10	5	2025	2025	NUM
ejpam-6364	10	6	the	the	DET
ejpam-6364	10	7	author(s	author(s	NOUN
ejpam-6364	10	8	)	)	PUNCT
ejpam-6364	10	9	.	.	PUNCT
ejpam-6364	11	1	(	(	PUNCT
ejpam-6364	11	2	cc	cc	NOUN
ejpam-6364	11	3	by	by	ADP
ejpam-6364	11	4	-	-	PUNCT
ejpam-6364	11	5	nc	nc	PROPN
ejpam-6364	11	6	4.0	4.0	NUM
ejpam-6364	11	7	)	)	PUNCT
ejpam-6364	11	8	r.	r.	PROPN
ejpam-6364	11	9	ud	ud	AUX
ejpam-6364	11	10	din	din	VERB
ejpam-6364	11	11	et	et	PROPN
ejpam-6364	11	12	al	al	PROPN
ejpam-6364	11	13	.	.	PUNCT
ejpam-6364	11	14	/	/	SYM
ejpam-6364	11	15	eur	eur	PROPN
ejpam-6364	11	16	.	.	PUNCT
ejpam-6364	12	1	j.	j.	PROPN
ejpam-6364	12	2	pure	pure	PROPN
ejpam-6364	12	3	appl	appl	PROPN
ejpam-6364	12	4	.	.	PROPN
ejpam-6364	12	5	math	math	PROPN
ejpam-6364	12	6	,	,	PUNCT
ejpam-6364	12	7	18	18	NUM
ejpam-6364	12	8	(	(	PUNCT
ejpam-6364	12	9	4	4	NUM
ejpam-6364	12	10	)	)	PUNCT
ejpam-6364	12	11	(	(	PUNCT
ejpam-6364	12	12	2025	2025	NUM
ejpam-6364	12	13	)	)	PUNCT
ejpam-6364	12	14	,	,	PUNCT
ejpam-6364	12	15	6364	6364	NUM
ejpam-6364	12	16	2	2	NUM
ejpam-6364	12	17	of	of	ADP
ejpam-6364	12	18	23	23	NUM
ejpam-6364	12	19	that	that	PRON
ejpam-6364	12	20	provide	provide	VERB
ejpam-6364	12	21	lasting	lasting	ADJ
ejpam-6364	12	22	benefits	benefit	NOUN
ejpam-6364	12	23	to	to	ADP
ejpam-6364	12	24	society	society	NOUN
ejpam-6364	13	1	[	[	X
ejpam-6364	13	2	1	1	NUM
ejpam-6364	13	3	]	]	PUNCT
ejpam-6364	13	4	.	.	PUNCT
ejpam-6364	14	1	mathematics	mathematic	NOUN
ejpam-6364	14	2	has	have	AUX
ejpam-6364	14	3	not	not	PART
ejpam-6364	14	4	only	only	ADV
ejpam-6364	14	5	advanced	advance	VERB
ejpam-6364	14	6	the	the	DET
ejpam-6364	14	7	natural	natural	ADJ
ejpam-6364	14	8	sciences	science	NOUN
ejpam-6364	14	9	but	but	CCONJ
ejpam-6364	14	10	also	also	ADV
ejpam-6364	14	11	holds	hold	VERB
ejpam-6364	14	12	great	great	ADJ
ejpam-6364	14	13	potential	potential	NOUN
ejpam-6364	14	14	to	to	PART
ejpam-6364	14	15	transform	transform	VERB
ejpam-6364	14	16	biological	biological	ADJ
ejpam-6364	14	17	research	research	NOUN
ejpam-6364	14	18	.	.	PUNCT
ejpam-6364	15	1	through	through	ADP
ejpam-6364	15	2	mathematical	mathematical	ADJ
ejpam-6364	15	3	modeling	modeling	NOUN
ejpam-6364	15	4	,	,	PUNCT
ejpam-6364	15	5	biology	biology	NOUN
ejpam-6364	15	6	gains	gain	VERB
ejpam-6364	15	7	valuable	valuable	ADJ
ejpam-6364	15	8	tools	tool	NOUN
ejpam-6364	15	9	to	to	PART
ejpam-6364	15	10	interpret	interpret	VERB
ejpam-6364	15	11	and	and	CCONJ
ejpam-6364	15	12	analyze	analyze	VERB
ejpam-6364	15	13	its	its	PRON
ejpam-6364	15	14	inherent	inherent	ADJ
ejpam-6364	15	15	complexity	complexity	NOUN
ejpam-6364	15	16	.	.	PUNCT
ejpam-6364	16	1	moreover	moreover	ADV
ejpam-6364	16	2	,	,	PUNCT
ejpam-6364	16	3	recent	recent	ADJ
ejpam-6364	16	4	progress	progress	NOUN
ejpam-6364	16	5	in	in	ADP
ejpam-6364	16	6	computer	computer	NOUN
ejpam-6364	16	7	algebra	algebra	NOUN
ejpam-6364	16	8	systems	system	NOUN
ejpam-6364	16	9	has	have	AUX
ejpam-6364	16	10	made	make	VERB
ejpam-6364	16	11	it	it	PRON
ejpam-6364	16	12	easier	easy	ADJ
ejpam-6364	16	13	to	to	PART
ejpam-6364	16	14	address	address	VERB
ejpam-6364	16	15	complex	complex	ADJ
ejpam-6364	16	16	mathematical	mathematical	ADJ
ejpam-6364	16	17	problems	problem	NOUN
ejpam-6364	16	18	[	[	X
ejpam-6364	16	19	2	2	NUM
ejpam-6364	16	20	]	]	PUNCT
ejpam-6364	16	21	,	,	PUNCT
ejpam-6364	16	22	enabling	enable	VERB
ejpam-6364	16	23	researchers	researcher	NOUN
ejpam-6364	16	24	to	to	PART
ejpam-6364	16	25	concentrate	concentrate	VERB
ejpam-6364	16	26	more	more	ADV
ejpam-6364	16	27	on	on	ADP
ejpam-6364	16	28	the	the	DET
ejpam-6364	16	29	study	study	NOUN
ejpam-6364	16	30	of	of	ADP
ejpam-6364	16	31	mathematical	mathematical	ADJ
ejpam-6364	16	32	biology	biology	NOUN
ejpam-6364	16	33	rather	rather	ADV
ejpam-6364	16	34	than	than	ADP
ejpam-6364	16	35	on	on	ADP
ejpam-6364	16	36	technical	technical	ADJ
ejpam-6364	16	37	problem	problem	NOUN
ejpam-6364	16	38	-	-	PUNCT
ejpam-6364	16	39	solving	solving	NOUN
ejpam-6364	16	40	.	.	PUNCT
ejpam-6364	17	1	in	in	ADP
ejpam-6364	17	2	recent	recent	ADJ
ejpam-6364	17	3	years	year	NOUN
ejpam-6364	17	4	,	,	PUNCT
ejpam-6364	17	5	there	there	PRON
ejpam-6364	17	6	has	have	AUX
ejpam-6364	17	7	been	be	AUX
ejpam-6364	17	8	growing	grow	VERB
ejpam-6364	17	9	interest	interest	NOUN
ejpam-6364	17	10	in	in	ADP
ejpam-6364	17	11	the	the	DET
ejpam-6364	17	12	mathematical	mathematical	ADJ
ejpam-6364	17	13	modeling	modeling	NOUN
ejpam-6364	17	14	of	of	ADP
ejpam-6364	17	15	biological	biological	ADJ
ejpam-6364	17	16	,	,	PUNCT
ejpam-6364	17	17	physical	physical	ADJ
ejpam-6364	17	18	,	,	PUNCT
ejpam-6364	17	19	and	and	CCONJ
ejpam-6364	17	20	epidemiological	epidemiological	ADJ
ejpam-6364	17	21	phenomena	phenomenon	NOUN
ejpam-6364	17	22	.	.	PUNCT
ejpam-6364	18	1	this	this	DET
ejpam-6364	18	2	surge	surge	NOUN
ejpam-6364	18	3	is	be	AUX
ejpam-6364	18	4	largely	largely	ADV
ejpam-6364	18	5	due	due	ADJ
ejpam-6364	18	6	to	to	ADP
ejpam-6364	18	7	the	the	DET
ejpam-6364	18	8	ability	ability	NOUN
ejpam-6364	18	9	of	of	ADP
ejpam-6364	18	10	mathematical	mathematical	ADJ
ejpam-6364	18	11	models	model	NOUN
ejpam-6364	18	12	to	to	PART
ejpam-6364	18	13	account	account	VERB
ejpam-6364	18	14	for	for	ADP
ejpam-6364	18	15	numerous	numerous	ADJ
ejpam-6364	18	16	influencing	influence	VERB
ejpam-6364	18	17	factors	factor	NOUN
ejpam-6364	18	18	.	.	PUNCT
ejpam-6364	19	1	mathematical	mathematical	ADJ
ejpam-6364	19	2	biology	biology	NOUN
ejpam-6364	19	3	,	,	PUNCT
ejpam-6364	19	4	in	in	ADP
ejpam-6364	19	5	particular	particular	ADJ
ejpam-6364	19	6	,	,	PUNCT
ejpam-6364	19	7	has	have	AUX
ejpam-6364	19	8	attracted	attract	VERB
ejpam-6364	19	9	significant	significant	ADJ
ejpam-6364	19	10	attention	attention	NOUN
ejpam-6364	19	11	from	from	ADP
ejpam-6364	19	12	researchers	researcher	NOUN
ejpam-6364	19	13	in	in	ADP
ejpam-6364	19	14	areas	area	NOUN
ejpam-6364	19	15	such	such	ADJ
ejpam-6364	19	16	as	as	ADP
ejpam-6364	19	17	body	body	NOUN
ejpam-6364	19	18	fluid	fluid	NOUN
ejpam-6364	19	19	dynamics	dynamic	NOUN
ejpam-6364	19	20	,	,	PUNCT
ejpam-6364	19	21	human	human	ADJ
ejpam-6364	19	22	growth	growth	NOUN
ejpam-6364	19	23	modeling	modeling	NOUN
ejpam-6364	19	24	,	,	PUNCT
ejpam-6364	19	25	infectious	infectious	ADJ
ejpam-6364	19	26	disease	disease	NOUN
ejpam-6364	19	27	modeling	modeling	NOUN
ejpam-6364	19	28	,	,	PUNCT
ejpam-6364	19	29	and	and	CCONJ
ejpam-6364	19	30	related	related	ADJ
ejpam-6364	19	31	fields	field	NOUN
ejpam-6364	19	32	[	[	X
ejpam-6364	19	33	3–5	3–5	NOUN
ejpam-6364	19	34	]	]	PUNCT
ejpam-6364	19	35	.	.	PUNCT
ejpam-6364	20	1	the	the	DET
ejpam-6364	20	2	widespread	widespread	ADJ
ejpam-6364	20	3	application	application	NOUN
ejpam-6364	20	4	of	of	ADP
ejpam-6364	20	5	mathematical	mathematical	ADJ
ejpam-6364	20	6	models	model	NOUN
ejpam-6364	20	7	has	have	AUX
ejpam-6364	20	8	deepened	deepen	VERB
ejpam-6364	20	9	our	our	PRON
ejpam-6364	20	10	understanding	understanding	NOUN
ejpam-6364	20	11	of	of	ADP
ejpam-6364	20	12	the	the	DET
ejpam-6364	20	13	complex	complex	ADJ
ejpam-6364	20	14	nature	nature	NOUN
ejpam-6364	20	15	of	of	ADP
ejpam-6364	20	16	biological	biological	ADJ
ejpam-6364	20	17	processes	process	NOUN
ejpam-6364	20	18	by	by	ADP
ejpam-6364	20	19	shedding	shed	VERB
ejpam-6364	20	20	light	light	NOUN
ejpam-6364	20	21	on	on	ADP
ejpam-6364	20	22	fundamental	fundamental	ADJ
ejpam-6364	20	23	concepts	concept	NOUN
ejpam-6364	20	24	.	.	PUNCT
ejpam-6364	21	1	in	in	ADP
ejpam-6364	21	2	the	the	DET
ejpam-6364	21	3	context	context	NOUN
ejpam-6364	21	4	of	of	ADP
ejpam-6364	21	5	infectious	infectious	ADJ
ejpam-6364	21	6	diseases	disease	NOUN
ejpam-6364	21	7	,	,	PUNCT
ejpam-6364	21	8	mathematical	mathematical	ADJ
ejpam-6364	21	9	modeling	modeling	NOUN
ejpam-6364	21	10	plays	play	VERB
ejpam-6364	21	11	a	a	DET
ejpam-6364	21	12	vital	vital	ADJ
ejpam-6364	21	13	role	role	NOUN
ejpam-6364	21	14	in	in	ADP
ejpam-6364	21	15	identifying	identify	VERB
ejpam-6364	21	16	threshold	threshold	NOUN
ejpam-6364	21	17	parameters	parameter	NOUN
ejpam-6364	21	18	,	,	PUNCT
ejpam-6364	21	19	clarifying	clarify	VERB
ejpam-6364	21	20	transmission	transmission	NOUN
ejpam-6364	21	21	patterns	pattern	NOUN
ejpam-6364	21	22	,	,	PUNCT
ejpam-6364	21	23	and	and	CCONJ
ejpam-6364	21	24	formulating	formulate	VERB
ejpam-6364	21	25	effective	effective	ADJ
ejpam-6364	21	26	management	management	NOUN
ejpam-6364	21	27	strategies	strategy	NOUN
ejpam-6364	21	28	[	[	X
ejpam-6364	21	29	6	6	NUM
ejpam-6364	21	30	]	]	PUNCT
ejpam-6364	21	31	.	.	PUNCT
ejpam-6364	22	1	moreover	moreover	ADV
ejpam-6364	22	2	,	,	PUNCT
ejpam-6364	22	3	by	by	ADP
ejpam-6364	22	4	offering	offer	VERB
ejpam-6364	22	5	practical	practical	ADJ
ejpam-6364	22	6	insights	insight	NOUN
ejpam-6364	22	7	into	into	ADP
ejpam-6364	22	8	treatment	treatment	NOUN
ejpam-6364	22	9	,	,	PUNCT
ejpam-6364	22	10	mathematical	mathematical	ADJ
ejpam-6364	22	11	models	model	NOUN
ejpam-6364	22	12	have	have	AUX
ejpam-6364	22	13	proven	prove	VERB
ejpam-6364	22	14	valuable	valuable	ADJ
ejpam-6364	22	15	in	in	ADP
ejpam-6364	22	16	both	both	CCONJ
ejpam-6364	22	17	the	the	DET
ejpam-6364	22	18	prevention	prevention	NOUN
ejpam-6364	22	19	and	and	CCONJ
ejpam-6364	22	20	control	control	NOUN
ejpam-6364	22	21	of	of	ADP
ejpam-6364	22	22	infectious	infectious	ADJ
ejpam-6364	22	23	diseases	disease	NOUN
ejpam-6364	22	24	,	,	PUNCT
ejpam-6364	22	25	serving	serve	VERB
ejpam-6364	22	26	as	as	ADP
ejpam-6364	22	27	a	a	DET
ejpam-6364	22	28	powerful	powerful	ADJ
ejpam-6364	22	29	tool	tool	NOUN
ejpam-6364	22	30	in	in	ADP
ejpam-6364	22	31	the	the	DET
ejpam-6364	22	32	fight	fight	NOUN
ejpam-6364	22	33	against	against	ADP
ejpam-6364	22	34	viral	viral	ADJ
ejpam-6364	22	35	outbreaks	outbreak	NOUN
ejpam-6364	22	36	[	[	X
ejpam-6364	22	37	7	7	NUM
ejpam-6364	22	38	]	]	PUNCT
ejpam-6364	22	39	.	.	PUNCT
ejpam-6364	23	1	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	23	2	,	,	PUNCT
ejpam-6364	23	3	commonly	commonly	ADV
ejpam-6364	23	4	known	know	VERB
ejpam-6364	23	5	as	as	ADP
ejpam-6364	23	6	“	"	PUNCT
ejpam-6364	23	7	pink	pink	ADJ
ejpam-6364	23	8	eye	eye	NOUN
ejpam-6364	23	9	”	"	PUNCT
ejpam-6364	23	10	or	or	CCONJ
ejpam-6364	23	11	“	"	PUNCT
ejpam-6364	23	12	bloodshot	bloodshot	ADJ
ejpam-6364	23	13	eyes	eye	NOUN
ejpam-6364	23	14	,	,	PUNCT
ejpam-6364	23	15	”	"	PUNCT
ejpam-6364	23	16	is	be	AUX
ejpam-6364	23	17	an	an	DET
ejpam-6364	23	18	infection	infection	NOUN
ejpam-6364	23	19	of	of	ADP
ejpam-6364	23	20	the	the	DET
ejpam-6364	23	21	conjunctive	conjunctive	NOUN
ejpam-6364	23	22	the	the	DET
ejpam-6364	23	23	thin	thin	ADJ
ejpam-6364	23	24	tissue	tissue	NOUN
ejpam-6364	23	25	covering	cover	VERB
ejpam-6364	23	26	the	the	DET
ejpam-6364	23	27	white	white	ADJ
ejpam-6364	23	28	part	part	NOUN
ejpam-6364	23	29	of	of	ADP
ejpam-6364	23	30	the	the	DET
ejpam-6364	23	31	eye	eye	NOUN
ejpam-6364	23	32	and	and	CCONJ
ejpam-6364	23	33	the	the	DET
ejpam-6364	23	34	inner	inner	ADJ
ejpam-6364	23	35	surface	surface	NOUN
ejpam-6364	23	36	of	of	ADP
ejpam-6364	23	37	the	the	DET
ejpam-6364	23	38	eyelid	eyelid	NOUN
ejpam-6364	23	39	.	.	PUNCT
ejpam-6364	24	1	it	it	PRON
ejpam-6364	24	2	is	be	AUX
ejpam-6364	24	3	a	a	DET
ejpam-6364	24	4	highly	highly	ADV
ejpam-6364	24	5	contagious	contagious	ADJ
ejpam-6364	24	6	condition	condition	NOUN
ejpam-6364	24	7	that	that	PRON
ejpam-6364	24	8	may	may	AUX
ejpam-6364	24	9	be	be	AUX
ejpam-6364	24	10	caused	cause	VERB
ejpam-6364	24	11	by	by	ADP
ejpam-6364	24	12	bacteria	bacteria	NOUN
ejpam-6364	24	13	,	,	PUNCT
ejpam-6364	24	14	viruses	virus	NOUN
ejpam-6364	24	15	,	,	PUNCT
ejpam-6364	24	16	or	or	CCONJ
ejpam-6364	24	17	allergic	allergic	ADJ
ejpam-6364	24	18	reactions	reaction	NOUN
ejpam-6364	24	19	,	,	PUNCT
ejpam-6364	24	20	all	all	PRON
ejpam-6364	24	21	of	of	ADP
ejpam-6364	24	22	which	which	PRON
ejpam-6364	24	23	can	can	AUX
ejpam-6364	24	24	trigger	trigger	VERB
ejpam-6364	24	25	inflammation	inflammation	NOUN
ejpam-6364	24	26	.	.	PUNCT
ejpam-6364	25	1	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	25	2	occurs	occur	VERB
ejpam-6364	25	3	in	in	ADP
ejpam-6364	25	4	several	several	ADJ
ejpam-6364	25	5	forms	form	NOUN
ejpam-6364	25	6	;	;	PUNCT
ejpam-6364	25	7	for	for	ADP
ejpam-6364	25	8	instance	instance	NOUN
ejpam-6364	25	9	,	,	PUNCT
ejpam-6364	25	10	allergic	allergic	ADJ
ejpam-6364	25	11	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	25	12	is	be	AUX
ejpam-6364	25	13	often	often	ADV
ejpam-6364	25	14	caused	cause	VERB
ejpam-6364	25	15	by	by	ADP
ejpam-6364	25	16	seasonal	seasonal	ADJ
ejpam-6364	25	17	exposure	exposure	NOUN
ejpam-6364	25	18	to	to	ADP
ejpam-6364	25	19	antigens	antigen	NOUN
ejpam-6364	25	20	or	or	CCONJ
ejpam-6364	25	21	irritants	irritant	NOUN
ejpam-6364	25	22	such	such	ADJ
ejpam-6364	25	23	as	as	ADP
ejpam-6364	25	24	house	house	NOUN
ejpam-6364	25	25	dust	dust	NOUN
ejpam-6364	25	26	mites	mite	NOUN
ejpam-6364	25	27	,	,	PUNCT
ejpam-6364	25	28	pollen	pollen	NOUN
ejpam-6364	25	29	,	,	PUNCT
ejpam-6364	25	30	animal	animal	NOUN
ejpam-6364	25	31	dander	dander	NOUN
ejpam-6364	25	32	,	,	PUNCT
ejpam-6364	25	33	and	and	CCONJ
ejpam-6364	25	34	contact	contact	NOUN
ejpam-6364	25	35	lenses	lense	NOUN
ejpam-6364	25	36	[	[	X
ejpam-6364	25	37	8	8	NUM
ejpam-6364	25	38	,	,	PUNCT
ejpam-6364	25	39	9	9	NUM
ejpam-6364	25	40	]	]	PUNCT
ejpam-6364	25	41	.	.	PUNCT
ejpam-6364	26	1	transmission	transmission	NOUN
ejpam-6364	26	2	typically	typically	ADV
ejpam-6364	26	3	occurs	occur	VERB
ejpam-6364	26	4	when	when	SCONJ
ejpam-6364	26	5	a	a	DET
ejpam-6364	26	6	susceptible	susceptible	ADJ
ejpam-6364	26	7	individual	individual	NOUN
ejpam-6364	26	8	comes	come	VERB
ejpam-6364	26	9	into	into	ADP
ejpam-6364	26	10	direct	direct	ADJ
ejpam-6364	26	11	contact	contact	NOUN
ejpam-6364	26	12	with	with	ADP
ejpam-6364	26	13	an	an	DET
ejpam-6364	26	14	infected	infected	ADJ
ejpam-6364	26	15	person	person	NOUN
ejpam-6364	26	16	or	or	CCONJ
ejpam-6364	26	17	with	with	ADP
ejpam-6364	26	18	contaminated	contaminate	VERB
ejpam-6364	26	19	objects	object	NOUN
ejpam-6364	26	20	,	,	PUNCT
ejpam-6364	26	21	such	such	ADJ
ejpam-6364	26	22	as	as	ADP
ejpam-6364	26	23	foreign	foreign	ADJ
ejpam-6364	26	24	particles	particle	NOUN
ejpam-6364	26	25	that	that	PRON
ejpam-6364	26	26	enter	enter	VERB
ejpam-6364	26	27	the	the	DET
ejpam-6364	26	28	eyes	eye	NOUN
ejpam-6364	26	29	,	,	PUNCT
ejpam-6364	26	30	or	or	CCONJ
ejpam-6364	26	31	through	through	ADP
ejpam-6364	26	32	exposure	exposure	NOUN
ejpam-6364	26	33	to	to	ADP
ejpam-6364	26	34	fluids	fluid	NOUN
ejpam-6364	26	35	discharged	discharge	VERB
ejpam-6364	26	36	from	from	ADP
ejpam-6364	26	37	the	the	DET
ejpam-6364	26	38	conjunctiva	conjunctiva	NOUN
ejpam-6364	26	39	or	or	CCONJ
ejpam-6364	26	40	the	the	DET
ejpam-6364	26	41	upper	upper	ADJ
ejpam-6364	26	42	respiratory	respiratory	ADJ
ejpam-6364	26	43	tract	tract	NOUN
ejpam-6364	26	44	of	of	ADP
ejpam-6364	26	45	an	an	DET
ejpam-6364	26	46	infected	infected	ADJ
ejpam-6364	26	47	individual	individual	NOUN
ejpam-6364	26	48	.	.	PUNCT
ejpam-6364	27	1	furthermore	furthermore	ADV
ejpam-6364	27	2	,	,	PUNCT
ejpam-6364	27	3	studies	study	NOUN
ejpam-6364	27	4	suggest	suggest	VERB
ejpam-6364	27	5	a	a	DET
ejpam-6364	27	6	direct	direct	ADJ
ejpam-6364	27	7	association	association	NOUN
ejpam-6364	27	8	between	between	ADP
ejpam-6364	27	9	parental	parental	ADJ
ejpam-6364	27	10	chlamydial	chlamydial	ADJ
ejpam-6364	27	11	or	or	CCONJ
ejpam-6364	27	12	gonococcal	gonococcal	ADJ
ejpam-6364	27	13	infections	infection	NOUN
ejpam-6364	27	14	and	and	CCONJ
ejpam-6364	27	15	the	the	DET
ejpam-6364	27	16	risk	risk	NOUN
ejpam-6364	27	17	of	of	ADP
ejpam-6364	27	18	transmission	transmission	NOUN
ejpam-6364	27	19	to	to	ADP
ejpam-6364	27	20	infants	infant	NOUN
ejpam-6364	27	21	.	.	PUNCT
ejpam-6364	28	1	this	this	DET
ejpam-6364	28	2	work	work	NOUN
ejpam-6364	28	3	focuses	focus	VERB
ejpam-6364	28	4	on	on	ADP
ejpam-6364	28	5	a	a	DET
ejpam-6364	28	6	viral	viral	ADJ
ejpam-6364	28	7	form	form	NOUN
ejpam-6364	28	8	of	of	ADP
ejpam-6364	28	9	the	the	DET
ejpam-6364	28	10	disease	disease	NOUN
ejpam-6364	28	11	known	know	VERB
ejpam-6364	28	12	as	as	ADP
ejpam-6364	28	13	acute	acute	ADJ
ejpam-6364	28	14	hemorrhagic	hemorrhagic	NOUN
ejpam-6364	28	15	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	28	16	(	(	PUNCT
ejpam-6364	28	17	ahc	ahc	NOUN
ejpam-6364	28	18	)	)	PUNCT
ejpam-6364	28	19	.	.	PUNCT
ejpam-6364	29	1	the	the	DET
ejpam-6364	29	2	incubation	incubation	NOUN
ejpam-6364	29	3	period	period	NOUN
ejpam-6364	29	4	of	of	ADP
ejpam-6364	29	5	ahc	ahc	NOUN
ejpam-6364	29	6	ranges	range	NOUN
ejpam-6364	29	7	from	from	ADP
ejpam-6364	29	8	one	one	NUM
ejpam-6364	29	9	to	to	PART
ejpam-6364	29	10	three	three	NUM
ejpam-6364	29	11	days	day	NOUN
ejpam-6364	29	12	,	,	PUNCT
ejpam-6364	29	13	after	after	ADP
ejpam-6364	29	14	which	which	DET
ejpam-6364	29	15	symptoms	symptom	NOUN
ejpam-6364	29	16	such	such	ADJ
ejpam-6364	29	17	as	as	ADP
ejpam-6364	29	18	photophobia	photophobia	NOUN
ejpam-6364	29	19	,	,	PUNCT
ejpam-6364	29	20	sore	sore	ADJ
ejpam-6364	29	21	throat	throat	NOUN
ejpam-6364	29	22	,	,	PUNCT
ejpam-6364	29	23	tearing	tearing	NOUN
ejpam-6364	29	24	,	,	PUNCT
ejpam-6364	29	25	eye	eye	NOUN
ejpam-6364	29	26	discomfort	discomfort	NOUN
ejpam-6364	29	27	,	,	PUNCT
ejpam-6364	29	28	and	and	CCONJ
ejpam-6364	29	29	swelling	swell	VERB
ejpam-6364	29	30	may	may	AUX
ejpam-6364	29	31	develop	develop	VERB
ejpam-6364	29	32	,	,	PUNCT
ejpam-6364	29	33	often	often	ADV
ejpam-6364	29	34	accompanied	accompany	VERB
ejpam-6364	29	35	by	by	ADP
ejpam-6364	29	36	ocular	ocular	ADJ
ejpam-6364	29	37	discharge	discharge	NOUN
ejpam-6364	29	38	[	[	X
ejpam-6364	29	39	10	10	NUM
ejpam-6364	29	40	]	]	PUNCT
ejpam-6364	29	41	.	.	PUNCT
ejpam-6364	30	1	effective	effective	ADJ
ejpam-6364	30	2	strategies	strategy	NOUN
ejpam-6364	30	3	to	to	PART
ejpam-6364	30	4	prevent	prevent	VERB
ejpam-6364	30	5	the	the	DET
ejpam-6364	30	6	spread	spread	NOUN
ejpam-6364	30	7	of	of	ADP
ejpam-6364	30	8	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	30	9	include	include	VERB
ejpam-6364	30	10	the	the	DET
ejpam-6364	30	11	use	use	NOUN
ejpam-6364	30	12	of	of	ADP
ejpam-6364	30	13	antibiotic	antibiotic	ADJ
ejpam-6364	30	14	eye	eye	NOUN
ejpam-6364	30	15	drops	drop	NOUN
ejpam-6364	30	16	,	,	PUNCT
ejpam-6364	30	17	maintaining	maintain	VERB
ejpam-6364	30	18	proper	proper	ADJ
ejpam-6364	30	19	hygiene	hygiene	NOUN
ejpam-6364	30	20	,	,	PUNCT
ejpam-6364	30	21	isolating	isolate	VERB
ejpam-6364	30	22	infected	infected	ADJ
ejpam-6364	30	23	individuals	individual	NOUN
ejpam-6364	30	24	,	,	PUNCT
ejpam-6364	30	25	and	and	CCONJ
ejpam-6364	30	26	allowing	allow	VERB
ejpam-6364	30	27	the	the	DET
ejpam-6364	30	28	viral	viral	ADJ
ejpam-6364	30	29	infection	infection	NOUN
ejpam-6364	30	30	to	to	PART
ejpam-6364	30	31	resolve	resolve	VERB
ejpam-6364	30	32	naturally	naturally	ADV
ejpam-6364	30	33	,	,	PUNCT
ejpam-6364	30	34	which	which	PRON
ejpam-6364	30	35	typically	typically	ADV
ejpam-6364	30	36	occurs	occur	VERB
ejpam-6364	30	37	within	within	ADP
ejpam-6364	30	38	two	two	NUM
ejpam-6364	30	39	to	to	PART
ejpam-6364	30	40	three	three	NUM
ejpam-6364	30	41	weeks	week	NOUN
ejpam-6364	30	42	.	.	PUNCT
ejpam-6364	31	1	the	the	DET
ejpam-6364	31	2	disease	disease	NOUN
ejpam-6364	31	3	is	be	AUX
ejpam-6364	31	4	more	more	ADV
ejpam-6364	31	5	prevalent	prevalent	ADJ
ejpam-6364	31	6	in	in	ADP
ejpam-6364	31	7	tropical	tropical	ADJ
ejpam-6364	31	8	regions	region	NOUN
ejpam-6364	31	9	[	[	X
ejpam-6364	31	10	11	11	NUM
ejpam-6364	31	11	,	,	PUNCT
ejpam-6364	31	12	12	12	NUM
ejpam-6364	31	13	]	]	PUNCT
ejpam-6364	31	14	and	and	CCONJ
ejpam-6364	31	15	is	be	AUX
ejpam-6364	31	16	commonly	commonly	ADV
ejpam-6364	31	17	observed	observe	VERB
ejpam-6364	31	18	during	during	ADP
ejpam-6364	31	19	the	the	DET
ejpam-6364	31	20	rainy	rainy	ADJ
ejpam-6364	31	21	season	season	NOUN
ejpam-6364	31	22	,	,	PUNCT
ejpam-6364	31	23	when	when	SCONJ
ejpam-6364	31	24	humid	humid	NOUN
ejpam-6364	31	25	conditions	condition	NOUN
ejpam-6364	31	26	favor	favor	VERB
ejpam-6364	31	27	its	its	PRON
ejpam-6364	31	28	transmission	transmission	NOUN
ejpam-6364	32	1	[	[	X
ejpam-6364	32	2	13	13	NUM
ejpam-6364	32	3	]	]	PUNCT
ejpam-6364	32	4	.	.	PUNCT
ejpam-6364	33	1	high	high	ADJ
ejpam-6364	33	2	occurrence	occurrence	NOUN
ejpam-6364	33	3	rates	rate	NOUN
ejpam-6364	33	4	have	have	AUX
ejpam-6364	33	5	been	be	AUX
ejpam-6364	33	6	reported	report	VERB
ejpam-6364	33	7	in	in	ADP
ejpam-6364	33	8	tropical	tropical	ADJ
ejpam-6364	33	9	areas	area	NOUN
ejpam-6364	33	10	such	such	ADJ
ejpam-6364	33	11	as	as	ADP
ejpam-6364	33	12	thailand	thailand	PROPN
ejpam-6364	33	13	[	[	X
ejpam-6364	33	14	14	14	NUM
ejpam-6364	33	15	,	,	PUNCT
ejpam-6364	33	16	15	15	NUM
ejpam-6364	33	17	]	]	PUNCT
ejpam-6364	33	18	.	.	PUNCT
ejpam-6364	34	1	isolation	isolation	NOUN
ejpam-6364	34	2	of	of	ADP
ejpam-6364	34	3	affected	affected	ADJ
ejpam-6364	34	4	individuals	individual	NOUN
ejpam-6364	34	5	is	be	AUX
ejpam-6364	34	6	strongly	strongly	ADV
ejpam-6364	34	7	recommended	recommend	VERB
ejpam-6364	34	8	to	to	PART
ejpam-6364	34	9	limit	limit	VERB
ejpam-6364	34	10	the	the	DET
ejpam-6364	34	11	spread	spread	NOUN
ejpam-6364	34	12	of	of	ADP
ejpam-6364	34	13	infection	infection	NOUN
ejpam-6364	34	14	[	[	X
ejpam-6364	34	15	16	16	NUM
ejpam-6364	34	16	]	]	PUNCT
ejpam-6364	34	17	.	.	PUNCT
ejpam-6364	35	1	beyond	beyond	ADP
ejpam-6364	35	2	reducing	reduce	VERB
ejpam-6364	35	3	transmission	transmission	NOUN
ejpam-6364	35	4	,	,	PUNCT
ejpam-6364	35	5	home	home	NOUN
ejpam-6364	35	6	isolation	isolation	NOUN
ejpam-6364	35	7	also	also	ADV
ejpam-6364	35	8	facilitates	facilitate	VERB
ejpam-6364	35	9	recovery	recovery	NOUN
ejpam-6364	35	10	while	while	SCONJ
ejpam-6364	35	11	minimizing	minimize	VERB
ejpam-6364	35	12	both	both	DET
ejpam-6364	35	13	the	the	DET
ejpam-6364	35	14	number	number	NOUN
ejpam-6364	35	15	and	and	CCONJ
ejpam-6364	35	16	duration	duration	NOUN
ejpam-6364	35	17	of	of	ADP
ejpam-6364	35	18	infectious	infectious	ADJ
ejpam-6364	35	19	contacts	contact	NOUN
ejpam-6364	35	20	[	[	X
ejpam-6364	35	21	17	17	NUM
ejpam-6364	35	22	]	]	PUNCT
ejpam-6364	35	23	.	.	PUNCT
ejpam-6364	36	1	notable	notable	ADJ
ejpam-6364	36	2	contributions	contribution	NOUN
ejpam-6364	36	3	to	to	ADP
ejpam-6364	36	4	this	this	DET
ejpam-6364	36	5	field	field	NOUN
ejpam-6364	36	6	include	include	VERB
ejpam-6364	36	7	the	the	DET
ejpam-6364	36	8	studies	study	NOUN
ejpam-6364	36	9	reported	report	VERB
ejpam-6364	36	10	in	in	ADP
ejpam-6364	36	11	[	[	X
ejpam-6364	36	12	16	16	NUM
ejpam-6364	36	13	,	,	PUNCT
ejpam-6364	36	14	18	18	NUM
ejpam-6364	36	15	,	,	PUNCT
ejpam-6364	36	16	19	19	NUM
ejpam-6364	36	17	]	]	PUNCT
ejpam-6364	36	18	.	.	PUNCT
ejpam-6364	37	1	furthermore	furthermore	ADV
ejpam-6364	37	2	,	,	PUNCT
ejpam-6364	37	3	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	37	4	most	most	ADV
ejpam-6364	37	5	commonly	commonly	ADV
ejpam-6364	37	6	emerges	emerge	VERB
ejpam-6364	37	7	during	during	ADP
ejpam-6364	37	8	the	the	DET
ejpam-6364	37	9	rainy	rainy	ADJ
ejpam-6364	37	10	season	season	NOUN
ejpam-6364	37	11	,	,	PUNCT
ejpam-6364	37	12	when	when	SCONJ
ejpam-6364	37	13	high	high	PROPN
ejpam-6364	37	14	r.	r.	PROPN
ejpam-6364	37	15	ud	ud	AUX
ejpam-6364	37	16	din	din	VERB
ejpam-6364	37	17	et	et	PROPN
ejpam-6364	37	18	al	al	PROPN
ejpam-6364	37	19	.	.	PUNCT
ejpam-6364	37	20	/	/	SYM
ejpam-6364	37	21	eur	eur	PROPN
ejpam-6364	37	22	.	.	PUNCT
ejpam-6364	38	1	j.	j.	PROPN
ejpam-6364	38	2	pure	pure	PROPN
ejpam-6364	38	3	appl	appl	PROPN
ejpam-6364	38	4	.	.	PROPN
ejpam-6364	38	5	math	math	PROPN
ejpam-6364	38	6	,	,	PUNCT
ejpam-6364	38	7	18	18	NUM
ejpam-6364	38	8	(	(	PUNCT
ejpam-6364	38	9	4	4	NUM
ejpam-6364	38	10	)	)	PUNCT
ejpam-6364	38	11	(	(	PUNCT
ejpam-6364	38	12	2025	2025	NUM
ejpam-6364	38	13	)	)	PUNCT
ejpam-6364	38	14	,	,	PUNCT
ejpam-6364	38	15	6364	6364	NUM
ejpam-6364	38	16	3	3	NUM
ejpam-6364	38	17	of	of	ADP
ejpam-6364	38	18	23	23	NUM
ejpam-6364	38	19	figure	figure	NOUN
ejpam-6364	38	20	1	1	NUM
ejpam-6364	38	21	:	:	PUNCT
ejpam-6364	38	22	different	different	ADJ
ejpam-6364	38	23	kinds	kind	NOUN
ejpam-6364	38	24	of	of	ADP
ejpam-6364	38	25	eye	eye	NOUN
ejpam-6364	38	26	infection	infection	NOUN
ejpam-6364	38	27	image	image	NOUN
ejpam-6364	38	28	.	.	PUNCT
ejpam-6364	39	1	humidity	humidity	NOUN
ejpam-6364	39	2	creates	create	VERB
ejpam-6364	39	3	favorable	favorable	ADJ
ejpam-6364	39	4	conditions	condition	NOUN
ejpam-6364	39	5	for	for	ADP
ejpam-6364	39	6	viral	viral	ADJ
ejpam-6364	39	7	transmission	transmission	NOUN
ejpam-6364	39	8	[	[	X
ejpam-6364	39	9	20	20	NUM
ejpam-6364	39	10	]	]	PUNCT
ejpam-6364	39	11	.	.	PUNCT
ejpam-6364	40	1	the	the	DET
ejpam-6364	40	2	disease	disease	NOUN
ejpam-6364	40	3	is	be	AUX
ejpam-6364	40	4	frequently	frequently	ADV
ejpam-6364	40	5	reported	report	VERB
ejpam-6364	40	6	in	in	ADP
ejpam-6364	40	7	tropical	tropical	ADJ
ejpam-6364	40	8	regions	region	NOUN
ejpam-6364	40	9	such	such	ADJ
ejpam-6364	40	10	as	as	ADP
ejpam-6364	40	11	thailand	thailand	PROPN
ejpam-6364	40	12	[	[	X
ejpam-6364	40	13	21	21	NUM
ejpam-6364	40	14	,	,	PUNCT
ejpam-6364	40	15	22	22	NUM
ejpam-6364	40	16	]	]	PUNCT
ejpam-6364	40	17	.	.	PUNCT
ejpam-6364	41	1	isolating	isolate	VERB
ejpam-6364	41	2	affected	affected	ADJ
ejpam-6364	41	3	individuals	individual	NOUN
ejpam-6364	41	4	is	be	AUX
ejpam-6364	41	5	strongly	strongly	ADV
ejpam-6364	41	6	recommended	recommend	VERB
ejpam-6364	41	7	to	to	PART
ejpam-6364	41	8	curb	curb	VERB
ejpam-6364	41	9	its	its	PRON
ejpam-6364	41	10	spread	spread	NOUN
ejpam-6364	41	11	.	.	PUNCT
ejpam-6364	42	1	allowing	allow	VERB
ejpam-6364	42	2	patients	patient	NOUN
ejpam-6364	42	3	to	to	PART
ejpam-6364	42	4	take	take	VERB
ejpam-6364	42	5	leave	leave	NOUN
ejpam-6364	42	6	from	from	ADP
ejpam-6364	42	7	work	work	NOUN
ejpam-6364	42	8	and	and	CCONJ
ejpam-6364	42	9	remain	remain	VERB
ejpam-6364	42	10	in	in	ADP
ejpam-6364	42	11	home	home	NOUN
ejpam-6364	42	12	isolation	isolation	NOUN
ejpam-6364	42	13	not	not	PART
ejpam-6364	42	14	only	only	ADV
ejpam-6364	42	15	supports	support	VERB
ejpam-6364	42	16	faster	fast	ADJ
ejpam-6364	42	17	recovery	recovery	NOUN
ejpam-6364	42	18	but	but	CCONJ
ejpam-6364	42	19	also	also	ADV
ejpam-6364	42	20	reduces	reduce	VERB
ejpam-6364	42	21	both	both	CCONJ
ejpam-6364	42	22	the	the	DET
ejpam-6364	42	23	frequency	frequency	NOUN
ejpam-6364	42	24	and	and	CCONJ
ejpam-6364	42	25	intensity	intensity	NOUN
ejpam-6364	42	26	of	of	ADP
ejpam-6364	42	27	potential	potential	ADJ
ejpam-6364	42	28	infectious	infectious	ADJ
ejpam-6364	42	29	contacts	contact	NOUN
ejpam-6364	42	30	[	[	X
ejpam-6364	42	31	23	23	NUM
ejpam-6364	42	32	]	]	PUNCT
ejpam-6364	42	33	.	.	PUNCT
ejpam-6364	43	1	in	in	ADP
ejpam-6364	43	2	figure	figure	NOUN
ejpam-6364	43	3	2	2	NUM
ejpam-6364	43	4	,	,	PUNCT
ejpam-6364	43	5	we	we	PRON
ejpam-6364	43	6	present	present	VERB
ejpam-6364	43	7	the	the	DET
ejpam-6364	43	8	different	different	ADJ
ejpam-6364	43	9	types	type	NOUN
ejpam-6364	43	10	of	of	ADP
ejpam-6364	43	11	eye	eye	NOUN
ejpam-6364	43	12	infections	infection	NOUN
ejpam-6364	43	13	.	.	PUNCT
ejpam-6364	44	1	we	we	PRON
ejpam-6364	44	2	develop	develop	VERB
ejpam-6364	44	3	a	a	DET
ejpam-6364	44	4	mathematical	mathematical	ADJ
ejpam-6364	44	5	model	model	NOUN
ejpam-6364	44	6	to	to	PART
ejpam-6364	44	7	study	study	VERB
ejpam-6364	44	8	the	the	DET
ejpam-6364	44	9	dynamics	dynamic	NOUN
ejpam-6364	44	10	of	of	ADP
ejpam-6364	44	11	eye	eye	NOUN
ejpam-6364	44	12	infections	infection	NOUN
ejpam-6364	44	13	by	by	ADP
ejpam-6364	44	14	dividing	divide	VERB
ejpam-6364	44	15	the	the	DET
ejpam-6364	44	16	total	total	ADJ
ejpam-6364	44	17	population	population	NOUN
ejpam-6364	44	18	into	into	ADP
ejpam-6364	44	19	four	four	NUM
ejpam-6364	44	20	compartments	compartment	NOUN
ejpam-6364	44	21	:	:	PUNCT
ejpam-6364	44	22	s	s	X
ejpam-6364	44	23	(	(	PUNCT
ejpam-6364	44	24	susceptible	susceptible	ADJ
ejpam-6364	44	25	)	)	PUNCT
ejpam-6364	44	26	,	,	PUNCT
ejpam-6364	44	27	i	i	PRON
ejpam-6364	44	28	(	(	PUNCT
ejpam-6364	44	29	infected	infected	PROPN
ejpam-6364	44	30	)	)	PUNCT
ejpam-6364	44	31	,	,	PUNCT
ejpam-6364	44	32	t	t	PROPN
ejpam-6364	44	33	(	(	PUNCT
ejpam-6364	44	34	under	under	ADP
ejpam-6364	44	35	treatment	treatment	NOUN
ejpam-6364	44	36	)	)	PUNCT
ejpam-6364	44	37	,	,	PUNCT
ejpam-6364	44	38	and	and	CCONJ
ejpam-6364	44	39	r	r	NOUN
ejpam-6364	44	40	(	(	PUNCT
ejpam-6364	44	41	recovered	recover	VERB
ejpam-6364	44	42	)	)	PUNCT
ejpam-6364	44	43	.	.	PUNCT
ejpam-6364	45	1	the	the	DET
ejpam-6364	45	2	model	model	NOUN
ejpam-6364	45	3	incorporates	incorporate	VERB
ejpam-6364	45	4	a	a	DET
ejpam-6364	45	5	saturated	saturate	VERB
ejpam-6364	45	6	incidence	incidence	NOUN
ejpam-6364	45	7	rate	rate	NOUN
ejpam-6364	45	8	to	to	PART
ejpam-6364	45	9	describe	describe	VERB
ejpam-6364	45	10	the	the	DET
ejpam-6364	45	11	transmission	transmission	NOUN
ejpam-6364	45	12	of	of	ADP
ejpam-6364	45	13	infection	infection	NOUN
ejpam-6364	45	14	.	.	PUNCT
ejpam-6364	46	1	for	for	ADP
ejpam-6364	46	2	the	the	DET
ejpam-6364	46	3	deterministic	deterministic	ADJ
ejpam-6364	46	4	framework	framework	NOUN
ejpam-6364	46	5	,	,	PUNCT
ejpam-6364	46	6	local	local	ADJ
ejpam-6364	46	7	stability	stability	NOUN
ejpam-6364	46	8	is	be	AUX
ejpam-6364	46	9	analyzed	analyze	VERB
ejpam-6364	46	10	,	,	PUNCT
ejpam-6364	46	11	and	and	CCONJ
ejpam-6364	46	12	the	the	DET
ejpam-6364	46	13	basic	basic	ADJ
ejpam-6364	46	14	reproduction	reproduction	NOUN
ejpam-6364	46	15	number	number	NOUN
ejpam-6364	46	16	is	be	AUX
ejpam-6364	46	17	derived	derive	VERB
ejpam-6364	46	18	using	use	VERB
ejpam-6364	46	19	the	the	DET
ejpam-6364	46	20	next	next	ADJ
ejpam-6364	46	21	-	-	PUNCT
ejpam-6364	46	22	generation	generation	NOUN
ejpam-6364	46	23	matrix	matrix	NOUN
ejpam-6364	46	24	approach	approach	NOUN
ejpam-6364	46	25	.	.	PUNCT
ejpam-6364	47	1	numerical	numerical	ADJ
ejpam-6364	47	2	simulations	simulation	NOUN
ejpam-6364	47	3	of	of	ADP
ejpam-6364	47	4	the	the	DET
ejpam-6364	47	5	deterministic	deterministic	ADJ
ejpam-6364	47	6	model	model	NOUN
ejpam-6364	47	7	are	be	AUX
ejpam-6364	47	8	carried	carry	VERB
ejpam-6364	47	9	out	out	ADP
ejpam-6364	47	10	using	use	VERB
ejpam-6364	47	11	the	the	DET
ejpam-6364	47	12	nsfd	nsfd	ADJ
ejpam-6364	47	13	scheme	scheme	NOUN
ejpam-6364	47	14	.	.	PUNCT
ejpam-6364	48	1	for	for	ADP
ejpam-6364	48	2	the	the	DET
ejpam-6364	48	3	stochastic	stochastic	ADJ
ejpam-6364	48	4	model	model	NOUN
ejpam-6364	48	5	,	,	PUNCT
ejpam-6364	48	6	properties	property	NOUN
ejpam-6364	48	7	such	such	ADJ
ejpam-6364	48	8	as	as	ADP
ejpam-6364	48	9	exactness	exactness	NOUN
ejpam-6364	48	10	,	,	PUNCT
ejpam-6364	48	11	uniqueness	uniqueness	NOUN
ejpam-6364	48	12	,	,	PUNCT
ejpam-6364	48	13	the	the	DET
ejpam-6364	48	14	basic	basic	ADJ
ejpam-6364	48	15	reproduction	reproduction	NOUN
ejpam-6364	48	16	number	number	NOUN
ejpam-6364	48	17	,	,	PUNCT
ejpam-6364	48	18	stability	stability	NOUN
ejpam-6364	48	19	,	,	PUNCT
ejpam-6364	48	20	and	and	CCONJ
ejpam-6364	48	21	numerical	numerical	ADJ
ejpam-6364	48	22	simulations	simulation	NOUN
ejpam-6364	48	23	are	be	AUX
ejpam-6364	48	24	discussed	discuss	VERB
ejpam-6364	48	25	in	in	ADP
ejpam-6364	48	26	subsequent	subsequent	ADJ
ejpam-6364	48	27	sections	section	NOUN
ejpam-6364	48	28	.	.	PUNCT
ejpam-6364	49	1	1.1	1.1	NUM
ejpam-6364	49	2	.	.	PUNCT
ejpam-6364	49	3	model	model	NOUN
ejpam-6364	49	4	formulation	formulation	NOUN
ejpam-6364	49	5	in	in	ADP
ejpam-6364	49	6	this	this	DET
ejpam-6364	49	7	section	section	NOUN
ejpam-6364	49	8	of	of	ADP
ejpam-6364	49	9	our	our	PRON
ejpam-6364	49	10	work	work	NOUN
ejpam-6364	49	11	,	,	PUNCT
ejpam-6364	49	12	we	we	PRON
ejpam-6364	49	13	develop	develop	VERB
ejpam-6364	49	14	model	model	NOUN
ejpam-6364	49	15	for	for	ADP
ejpam-6364	49	16	the	the	DET
ejpam-6364	49	17	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	49	18	virus	virus	NOUN
ejpam-6364	49	19	.	.	PUNCT
ejpam-6364	50	1	the	the	DET
ejpam-6364	50	2	whole	whole	ADJ
ejpam-6364	50	3	population	population	NOUN
ejpam-6364	50	4	are	be	AUX
ejpam-6364	50	5	divide	divide	ADJ
ejpam-6364	50	6	into	into	ADP
ejpam-6364	50	7	four	four	NUM
ejpam-6364	50	8	compartments	compartment	NOUN
ejpam-6364	50	9	,	,	PUNCT
ejpam-6364	50	10	in	in	ADP
ejpam-6364	50	11	which	which	PRON
ejpam-6364	50	12	s	s	AUX
ejpam-6364	50	13	stand	stand	VERB
ejpam-6364	50	14	for	for	ADP
ejpam-6364	50	15	susceptible	susceptible	ADJ
ejpam-6364	50	16	people	people	NOUN
ejpam-6364	50	17	,	,	PUNCT
ejpam-6364	50	18	i	i	PRON
ejpam-6364	50	19	r.	r.	AUX
ejpam-6364	50	20	ud	ud	PROPN
ejpam-6364	50	21	din	din	VERB
ejpam-6364	50	22	et	et	PROPN
ejpam-6364	50	23	al	al	PROPN
ejpam-6364	50	24	.	.	PUNCT
ejpam-6364	50	25	/	/	SYM
ejpam-6364	50	26	eur	eur	PROPN
ejpam-6364	50	27	.	.	PUNCT
ejpam-6364	51	1	j.	j.	PROPN
ejpam-6364	51	2	pure	pure	PROPN
ejpam-6364	51	3	appl	appl	PROPN
ejpam-6364	51	4	.	.	PROPN
ejpam-6364	51	5	math	math	PROPN
ejpam-6364	51	6	,	,	PUNCT
ejpam-6364	51	7	18	18	NUM
ejpam-6364	51	8	(	(	PUNCT
ejpam-6364	51	9	4	4	NUM
ejpam-6364	51	10	)	)	PUNCT
ejpam-6364	51	11	(	(	PUNCT
ejpam-6364	51	12	2025	2025	NUM
ejpam-6364	51	13	)	)	PUNCT
ejpam-6364	51	14	,	,	PUNCT
ejpam-6364	51	15	6364	6364	NUM
ejpam-6364	51	16	4	4	NUM
ejpam-6364	51	17	of	of	ADP
ejpam-6364	51	18	23	23	NUM
ejpam-6364	51	19	s	s	PART
ejpam-6364	51	20	rti	rti	NOUN
ejpam-6364	51	21	figure	figure	NOUN
ejpam-6364	51	22	2	2	NUM
ejpam-6364	51	23	:	:	PUNCT
ejpam-6364	51	24	representation	representation	NOUN
ejpam-6364	51	25	of	of	ADP
ejpam-6364	51	26	the	the	DET
ejpam-6364	51	27	model	model	NOUN
ejpam-6364	51	28	schematically	schematically	NOUN
ejpam-6364	51	29	(	(	PUNCT
ejpam-6364	51	30	1	1	NUM
ejpam-6364	51	31	)	)	PUNCT
ejpam-6364	51	32	.	.	PUNCT
ejpam-6364	52	1	parameters	parameter	NOUN
ejpam-6364	52	2	physical	physical	ADJ
ejpam-6364	52	3	meaning	meaning	NOUN
ejpam-6364	52	4	s	s	VERB
ejpam-6364	52	5	susceptible	susceptible	ADJ
ejpam-6364	52	6	population	population	NOUN
ejpam-6364	52	7	i	i	PRON
ejpam-6364	52	8	infected	infect	VERB
ejpam-6364	52	9	population	population	NOUN
ejpam-6364	52	10	t	t	NOUN
ejpam-6364	52	11	under	under	ADP
ejpam-6364	52	12	treatment	treatment	NOUN
ejpam-6364	52	13	population	population	NOUN
ejpam-6364	52	14	r	r	NOUN
ejpam-6364	52	15	recovered	recover	VERB
ejpam-6364	52	16	population	population	NOUN
ejpam-6364	52	17	b	b	PROPN
ejpam-6364	52	18	birth	birth	NOUN
ejpam-6364	52	19	rate	rate	NOUN
ejpam-6364	52	20	k	k	NOUN
ejpam-6364	52	21	transmission	transmission	NOUN
ejpam-6364	52	22	rate	rate	NOUN
ejpam-6364	52	23	β	β	NOUN
ejpam-6364	52	24	saturation	saturation	NOUN
ejpam-6364	52	25	constant	constant	ADJ
ejpam-6364	52	26	α	α	NOUN
ejpam-6364	52	27	recovery	recovery	NOUN
ejpam-6364	52	28	without	without	ADP
ejpam-6364	52	29	medication	medication	NOUN
ejpam-6364	52	30	µ	µ	PRON
ejpam-6364	52	31	medication	medication	NOUN
ejpam-6364	52	32	rate	rate	NOUN
ejpam-6364	52	33	d0	d0	PROPN
ejpam-6364	52	34	natural	natural	ADJ
ejpam-6364	52	35	death	death	NOUN
ejpam-6364	52	36	rate	rate	NOUN
ejpam-6364	52	37	r	r	NOUN
ejpam-6364	52	38	recovery	recovery	NOUN
ejpam-6364	52	39	rate	rate	NOUN
ejpam-6364	52	40	of	of	ADP
ejpam-6364	52	41	under	under	ADP
ejpam-6364	52	42	treatment	treatment	NOUN
ejpam-6364	52	43	populations	population	NOUN
ejpam-6364	52	44	table	table	NOUN
ejpam-6364	52	45	1	1	NUM
ejpam-6364	52	46	:	:	PUNCT
ejpam-6364	52	47	the	the	DET
ejpam-6364	52	48	model	model	NOUN
ejpam-6364	52	49	(	(	PUNCT
ejpam-6364	52	50	1	1	X
ejpam-6364	52	51	)	)	PUNCT
ejpam-6364	52	52	describes	describe	VERB
ejpam-6364	52	53	and	and	CCONJ
ejpam-6364	52	54	specifies	specify	VERB
ejpam-6364	52	55	the	the	DET
ejpam-6364	52	56	system	system	NOUN
ejpam-6364	52	57	’s	’s	PART
ejpam-6364	52	58	parameters	parameter	NOUN
ejpam-6364	52	59	.	.	PUNCT
ejpam-6364	53	1	for	for	ADP
ejpam-6364	53	2	infected	infected	ADJ
ejpam-6364	53	3	people	people	NOUN
ejpam-6364	53	4	,	,	PUNCT
ejpam-6364	53	5	t	t	PROPN
ejpam-6364	53	6	for	for	ADP
ejpam-6364	53	7	under	under	ADP
ejpam-6364	53	8	treatment	treatment	NOUN
ejpam-6364	53	9	,	,	PUNCT
ejpam-6364	53	10	and	and	CCONJ
ejpam-6364	53	11	r	r	NOUN
ejpam-6364	53	12	represent	represent	VERB
ejpam-6364	53	13	recovered	recover	VERB
ejpam-6364	53	14	populations	population	NOUN
ejpam-6364	53	15	.	.	PUNCT
ejpam-6364	54	1	ds	ds	ADJ
ejpam-6364	54	2	dt	dt	NOUN
ejpam-6364	54	3	=	=	SYM
ejpam-6364	54	4	b−	b−	PROPN
ejpam-6364	54	5	ksi	ksi	NOUN
ejpam-6364	54	6	1	1	NUM
ejpam-6364	54	7	+	+	CCONJ
ejpam-6364	54	8	βi	βi	PRON
ejpam-6364	54	9	−	−	NOUN
ejpam-6364	54	10	d0s	d0s	PROPN
ejpam-6364	54	11	,	,	PUNCT
ejpam-6364	54	12	di	di	NOUN
ejpam-6364	54	13	dt	dt	NOUN
ejpam-6364	54	14	=	=	PUNCT
ejpam-6364	54	15	ksi	ksi	PROPN
ejpam-6364	54	16	1	1	NUM
ejpam-6364	54	17	+	+	CCONJ
ejpam-6364	54	18	βi	βi	PRON
ejpam-6364	54	19	−	−	PROPN
ejpam-6364	54	20	(	(	PUNCT
ejpam-6364	54	21	α+	α+	X
ejpam-6364	54	22	µ+	µ+	PUNCT
ejpam-6364	54	23	d0)i	d0)i	NOUN
ejpam-6364	54	24	,	,	PUNCT
ejpam-6364	54	25	dt	dt	ADP
ejpam-6364	54	26	dt	dt	X
ejpam-6364	55	1	=	=	PUNCT
ejpam-6364	55	2	µi	µi	INTJ
ejpam-6364	55	3	−	−	PROPN
ejpam-6364	56	1	(	(	PUNCT
ejpam-6364	56	2	r	r	NOUN
ejpam-6364	56	3	+	+	CCONJ
ejpam-6364	56	4	d0)t	d0)t	NOUN
ejpam-6364	56	5	,	,	PUNCT
ejpam-6364	56	6	dr	dr	PROPN
ejpam-6364	56	7	dt	dt	PROPN
ejpam-6364	56	8	=	=	PROPN
ejpam-6364	56	9	rt	rt	PROPN
ejpam-6364	56	10	+	+	CCONJ
ejpam-6364	56	11	αi	αi	VERB
ejpam-6364	57	1	−	−	PUNCT
ejpam-6364	57	2	d0r	d0r	ADJ
ejpam-6364	57	3	.	.	PUNCT
ejpam-6364	58	1	(	(	PUNCT
ejpam-6364	58	2	1	1	X
ejpam-6364	58	3	)	)	PUNCT
ejpam-6364	58	4	a	a	DET
ejpam-6364	58	5	flowchart	flowchart	NOUN
ejpam-6364	58	6	for	for	ADP
ejpam-6364	58	7	the	the	DET
ejpam-6364	58	8	above	above	ADJ
ejpam-6364	58	9	system	system	NOUN
ejpam-6364	58	10	(	(	PUNCT
ejpam-6364	58	11	1	1	X
ejpam-6364	58	12	)	)	PUNCT
ejpam-6364	58	13	are	be	AUX
ejpam-6364	58	14	represented	represent	VERB
ejpam-6364	58	15	in	in	ADP
ejpam-6364	58	16	figure	figure	NOUN
ejpam-6364	58	17	(	(	PUNCT
ejpam-6364	58	18	2	2	NUM
ejpam-6364	58	19	)	)	PUNCT
ejpam-6364	58	20	,	,	PUNCT
ejpam-6364	58	21	which	which	PRON
ejpam-6364	58	22	shows	show	VERB
ejpam-6364	58	23	how	how	SCONJ
ejpam-6364	58	24	the	the	DET
ejpam-6364	58	25	community	community	NOUN
ejpam-6364	58	26	dynamics	dynamic	NOUN
ejpam-6364	58	27	of	of	ADP
ejpam-6364	58	28	different	different	ADJ
ejpam-6364	58	29	compartments	compartment	NOUN
ejpam-6364	58	30	have	have	AUX
ejpam-6364	58	31	evolved	evolve	VERB
ejpam-6364	58	32	over	over	ADP
ejpam-6364	58	33	time	time	NOUN
ejpam-6364	58	34	.	.	PUNCT
ejpam-6364	59	1	the	the	DET
ejpam-6364	59	2	following	follow	VERB
ejpam-6364	59	3	table	table	NOUN
ejpam-6364	59	4	,	,	PUNCT
ejpam-6364	59	5	1.1	1.1	NUM
ejpam-6364	59	6	,	,	PUNCT
ejpam-6364	59	7	contains	contain	VERB
ejpam-6364	59	8	the	the	DET
ejpam-6364	59	9	parameters	parameter	NOUN
ejpam-6364	59	10	utilized	utilize	VERB
ejpam-6364	59	11	in	in	ADP
ejpam-6364	59	12	the	the	DET
ejpam-6364	59	13	algorithm	algorithm	NOUN
ejpam-6364	59	14	(	(	PUNCT
ejpam-6364	59	15	1	1	NUM
ejpam-6364	59	16	)	)	PUNCT
ejpam-6364	59	17	and	and	CCONJ
ejpam-6364	59	18	their	their	PRON
ejpam-6364	59	19	actual	actual	ADJ
ejpam-6364	59	20	meaning	meaning	NOUN
ejpam-6364	59	21	.	.	PUNCT
ejpam-6364	60	1	components	component	NOUN
ejpam-6364	60	2	in	in	ADP
ejpam-6364	60	3	the	the	DET
ejpam-6364	60	4	model	model	NOUN
ejpam-6364	60	5	(	(	PUNCT
ejpam-6364	60	6	1	1	NUM
ejpam-6364	60	7	)	)	PUNCT
ejpam-6364	60	8	and	and	CCONJ
ejpam-6364	60	9	how	how	SCONJ
ejpam-6364	60	10	they	they	PRON
ejpam-6364	60	11	vary	vary	VERB
ejpam-6364	60	12	from	from	ADP
ejpam-6364	60	13	one	one	NUM
ejpam-6364	60	14	another	another	PRON
ejpam-6364	60	15	are	be	AUX
ejpam-6364	60	16	also	also	ADV
ejpam-6364	60	17	given	give	VERB
ejpam-6364	60	18	in	in	ADP
ejpam-6364	60	19	.	.	PUNCT
ejpam-6364	61	1	r.	r.	PROPN
ejpam-6364	61	2	ud	ud	AUX
ejpam-6364	61	3	din	din	VERB
ejpam-6364	61	4	et	et	PROPN
ejpam-6364	61	5	al	al	PROPN
ejpam-6364	61	6	.	.	PUNCT
ejpam-6364	61	7	/	/	SYM
ejpam-6364	61	8	eur	eur	PROPN
ejpam-6364	61	9	.	.	PUNCT
ejpam-6364	62	1	j.	j.	PROPN
ejpam-6364	62	2	pure	pure	PROPN
ejpam-6364	62	3	appl	appl	PROPN
ejpam-6364	62	4	.	.	PROPN
ejpam-6364	62	5	math	math	PROPN
ejpam-6364	62	6	,	,	PUNCT
ejpam-6364	62	7	18	18	NUM
ejpam-6364	62	8	(	(	PUNCT
ejpam-6364	62	9	4	4	NUM
ejpam-6364	62	10	)	)	PUNCT
ejpam-6364	62	11	(	(	PUNCT
ejpam-6364	62	12	2025	2025	NUM
ejpam-6364	62	13	)	)	PUNCT
ejpam-6364	62	14	,	,	PUNCT
ejpam-6364	62	15	6364	6364	NUM
ejpam-6364	62	16	5	5	NUM
ejpam-6364	62	17	of	of	ADP
ejpam-6364	62	18	23	23	NUM
ejpam-6364	62	19	2	2	NUM
ejpam-6364	62	20	.	.	PUNCT
ejpam-6364	62	21	uniqueness	uniqueness	NOUN
ejpam-6364	62	22	and	and	CCONJ
ejpam-6364	62	23	existence	existence	NOUN
ejpam-6364	62	24	we	we	PRON
ejpam-6364	62	25	look	look	VERB
ejpam-6364	62	26	for	for	ADP
ejpam-6364	62	27	the	the	DET
ejpam-6364	62	28	existence	existence	NOUN
ejpam-6364	62	29	and	and	CCONJ
ejpam-6364	62	30	uniqueness	uniqueness	NOUN
ejpam-6364	62	31	of	of	ADP
ejpam-6364	62	32	the	the	DET
ejpam-6364	62	33	system	system	NOUN
ejpam-6364	62	34	(	(	PUNCT
ejpam-6364	62	35	1	1	NUM
ejpam-6364	62	36	)	)	PUNCT
ejpam-6364	62	37	.	.	PUNCT
ejpam-6364	63	1	in	in	ADP
ejpam-6364	63	2	order	order	NOUN
ejpam-6364	63	3	to	to	PART
ejpam-6364	63	4	attained	attain	VERB
ejpam-6364	63	5	this	this	PRON
ejpam-6364	63	6	,	,	PUNCT
ejpam-6364	63	7	the	the	DET
ejpam-6364	63	8	system	system	NOUN
ejpam-6364	63	9	(	(	PUNCT
ejpam-6364	63	10	1	1	X
ejpam-6364	63	11	)	)	PUNCT
ejpam-6364	63	12	is	be	AUX
ejpam-6364	63	13	described	describe	VERB
ejpam-6364	63	14	by	by	ADP
ejpam-6364	63	15	s	s	PRON
ejpam-6364	63	16	′	′	NOUN
ejpam-6364	63	17	=	=	PUNCT
ejpam-6364	63	18	h1	h1	PROPN
ejpam-6364	63	19	(	(	PUNCT
ejpam-6364	63	20	t	t	PROPN
ejpam-6364	63	21	,	,	PUNCT
ejpam-6364	63	22	s	s	PROPN
ejpam-6364	63	23	,	,	PUNCT
ejpam-6364	63	24	i	i	PRON
ejpam-6364	63	25	,	,	PUNCT
ejpam-6364	63	26	t	t	PROPN
ejpam-6364	63	27	,	,	PUNCT
ejpam-6364	63	28	r	r	NOUN
ejpam-6364	63	29	)	)	PUNCT
ejpam-6364	63	30	,	,	PUNCT
ejpam-6364	64	1	i	i	PRON
ejpam-6364	64	2	′	′	NOUN
ejpam-6364	65	1	=	=	PUNCT
ejpam-6364	65	2	h2	h2	PROPN
ejpam-6364	65	3	(	(	PUNCT
ejpam-6364	65	4	t	t	PROPN
ejpam-6364	65	5	,	,	PUNCT
ejpam-6364	65	6	s	s	PROPN
ejpam-6364	65	7	,	,	PUNCT
ejpam-6364	65	8	i	i	PRON
ejpam-6364	65	9	,	,	PUNCT
ejpam-6364	65	10	t	t	PROPN
ejpam-6364	65	11	,	,	PUNCT
ejpam-6364	65	12	r	r	NOUN
ejpam-6364	65	13	)	)	PUNCT
ejpam-6364	65	14	,	,	PUNCT
ejpam-6364	65	15	t	t	NOUN
ejpam-6364	65	16	′	′	NOUN
ejpam-6364	65	17	=	=	SYM
ejpam-6364	65	18	h3	h3	NOUN
ejpam-6364	65	19	(	(	PUNCT
ejpam-6364	65	20	t	t	PROPN
ejpam-6364	65	21	,	,	PUNCT
ejpam-6364	65	22	s	s	PROPN
ejpam-6364	65	23	,	,	PUNCT
ejpam-6364	65	24	i	i	PRON
ejpam-6364	65	25	,	,	PUNCT
ejpam-6364	65	26	t	t	PROPN
ejpam-6364	65	27	,	,	PUNCT
ejpam-6364	65	28	r	r	NOUN
ejpam-6364	65	29	)	)	PUNCT
ejpam-6364	65	30	,	,	PUNCT
ejpam-6364	65	31	r′	r′	PROPN
ejpam-6364	65	32	=	=	PROPN
ejpam-6364	65	33	h4	h4	PROPN
ejpam-6364	65	34	(	(	PUNCT
ejpam-6364	65	35	t	t	PROPN
ejpam-6364	65	36	,	,	PUNCT
ejpam-6364	65	37	s	s	PROPN
ejpam-6364	65	38	,	,	PUNCT
ejpam-6364	65	39	i	i	PRON
ejpam-6364	65	40	,	,	PUNCT
ejpam-6364	65	41	t	t	PROPN
ejpam-6364	65	42	,	,	PUNCT
ejpam-6364	65	43	r	r	NOUN
ejpam-6364	65	44	)	)	PUNCT
ejpam-6364	65	45	.	.	PUNCT
ejpam-6364	66	1	(	(	PUNCT
ejpam-6364	66	2	2	2	X
ejpam-6364	66	3	)	)	PUNCT
ejpam-6364	66	4	norm	norm	NOUN
ejpam-6364	66	5	is	be	AUX
ejpam-6364	66	6	define	define	VERB
ejpam-6364	66	7	as	as	ADP
ejpam-6364	66	8	||χ||∞	||χ||∞	NOUN
ejpam-6364	66	9	=	=	SYM
ejpam-6364	66	10	sup	sup	NOUN
ejpam-6364	66	11	t∈x	t∈x	ADJ
ejpam-6364	66	12	.	.	PUNCT
ejpam-6364	67	1	(	(	PUNCT
ejpam-6364	67	2	3	3	X
ejpam-6364	67	3	)	)	PUNCT
ejpam-6364	67	4	where	where	SCONJ
ejpam-6364	67	5	x	x	SYM
ejpam-6364	67	6	∈	∈	PROPN
ejpam-6364	67	7	[	[	X
ejpam-6364	67	8	0	0	NUM
ejpam-6364	67	9	,	,	PUNCT
ejpam-6364	67	10	t	t	PROPN
ejpam-6364	67	11	]	]	PUNCT
ejpam-6364	67	12	.	.	PUNCT
ejpam-6364	68	1	we	we	PRON
ejpam-6364	68	2	assumed	assume	VERB
ejpam-6364	68	3	that	that	SCONJ
ejpam-6364	68	4	for	for	ADP
ejpam-6364	68	5	every	every	DET
ejpam-6364	68	6	t	t	PROPN
ejpam-6364	68	7	,	,	PUNCT
ejpam-6364	68	8	s	s	PROPN
ejpam-6364	68	9	,	,	PUNCT
ejpam-6364	68	10	i	i	PRON
ejpam-6364	68	11	,	,	PUNCT
ejpam-6364	68	12	t	t	PROPN
ejpam-6364	68	13	,	,	PUNCT
ejpam-6364	68	14	and	and	CCONJ
ejpam-6364	68	15	r	r	NOUN
ejpam-6364	68	16	are	be	AUX
ejpam-6364	68	17	limited	limit	VERB
ejpam-6364	68	18	in	in	ADP
ejpam-6364	68	19	[	[	X
ejpam-6364	68	20	0	0	NUM
ejpam-6364	68	21	,	,	PUNCT
ejpam-6364	68	22	t	t	PROPN
ejpam-6364	68	23	]	]	PUNCT
ejpam-6364	68	24	and	and	CCONJ
ejpam-6364	68	25	that	that	SCONJ
ejpam-6364	68	26	for	for	ADP
ejpam-6364	68	27	each	each	DET
ejpam-6364	68	28	t	t	NOUN
ejpam-6364	68	29	that	that	PRON
ejpam-6364	68	30	belongs	belong	VERB
ejpam-6364	68	31	to	to	ADP
ejpam-6364	68	32	[	[	X
ejpam-6364	68	33	0	0	NUM
ejpam-6364	68	34	,	,	PUNCT
ejpam-6364	68	35	t	t	PROPN
ejpam-6364	68	36	]	]	PUNCT
ejpam-6364	68	37	,	,	PUNCT
ejpam-6364	68	38	there	there	PRON
ejpam-6364	68	39	exist	exist	VERB
ejpam-6364	68	40	k1	k1	NOUN
ejpam-6364	68	41	,	,	PUNCT
ejpam-6364	68	42	k2	k2	NOUN
ejpam-6364	68	43	,	,	PUNCT
ejpam-6364	68	44	k3	k3	VERB
ejpam-6364	68	45	,	,	PUNCT
ejpam-6364	68	46	,	,	PUNCT
ejpam-6364	68	47	and	and	CCONJ
ejpam-6364	68	48	k4	k4	NOUN
ejpam-6364	68	49	,	,	PUNCT
ejpam-6364	68	50	such	such	ADJ
ejpam-6364	68	51	that	that	SCONJ
ejpam-6364	68	52	||s||∞	||s||∞	VERB
ejpam-6364	68	53	<	<	X
ejpam-6364	68	54	k1	k1	PROPN
ejpam-6364	68	55	,	,	PUNCT
ejpam-6364	68	56	||i||∞	||i||∞	VERB
ejpam-6364	68	57	<	<	X
ejpam-6364	68	58	k2	k2	PROPN
ejpam-6364	68	59	,	,	PUNCT
ejpam-6364	68	60	||t	||t	PROPN
ejpam-6364	68	61	||∞	||∞	PROPN
ejpam-6364	68	62	<	<	X
ejpam-6364	68	63	k3	k3	PROPN
ejpam-6364	68	64	,	,	PUNCT
ejpam-6364	68	65	||r||∞	||r||∞	NOUN
ejpam-6364	68	66	<	<	X
ejpam-6364	68	67	k4	k4	PROPN
ejpam-6364	68	68	.	.	PUNCT
ejpam-6364	69	1	now	now	ADV
ejpam-6364	69	2	,	,	PUNCT
ejpam-6364	69	3	we	we	PRON
ejpam-6364	69	4	have	have	VERB
ejpam-6364	69	5	to	to	PART
ejpam-6364	69	6	prove	prove	VERB
ejpam-6364	69	7	(	(	PUNCT
ejpam-6364	69	8	2	2	X
ejpam-6364	69	9	)	)	PUNCT
ejpam-6364	69	10	is	be	AUX
ejpam-6364	69	11	bonded	bond	VERB
ejpam-6364	69	12	|h1	|h1	X
ejpam-6364	69	13	(	(	PUNCT
ejpam-6364	69	14	t	t	PROPN
ejpam-6364	69	15	,	,	PUNCT
ejpam-6364	69	16	s	s	PROPN
ejpam-6364	69	17	,	,	PUNCT
ejpam-6364	69	18	i	i	PRON
ejpam-6364	69	19	,	,	PUNCT
ejpam-6364	69	20	t	t	PROPN
ejpam-6364	69	21	,	,	PUNCT
ejpam-6364	69	22	r	r	NOUN
ejpam-6364	69	23	)	)	PUNCT
ejpam-6364	70	1	|	|	NOUN
ejpam-6364	71	1	=	=	SYM
ejpam-6364	71	2	|b−	|b−	NOUN
ejpam-6364	71	3	ksi	ksi	NOUN
ejpam-6364	71	4	1	1	NUM
ejpam-6364	71	5	+	+	CCONJ
ejpam-6364	71	6	βi	βi	PROPN
ejpam-6364	71	7	−	−	PROPN
ejpam-6364	71	8	d0s|	d0s|	NOUN
ejpam-6364	71	9	≤b+	≤b+	NOUN
ejpam-6364	71	10	k|s||i|	k|s||i|	ADJ
ejpam-6364	71	11	1	1	NUM
ejpam-6364	71	12	+	+	NUM
ejpam-6364	71	13	β|i|	β|i|	NOUN
ejpam-6364	71	14	+	+	CCONJ
ejpam-6364	71	15	d0|s|	d0|s|	NOUN
ejpam-6364	71	16	≤b+	≤b+	NOUN
ejpam-6364	71	17	k	k	NOUN
ejpam-6364	71	18	1	1	NUM
ejpam-6364	71	19	+	+	CCONJ
ejpam-6364	71	20	βk2	βk2	VERB
ejpam-6364	71	21	k1k2	k1k2	PROPN
ejpam-6364	71	22	+	+	NUM
ejpam-6364	71	23	d0k1	d0k1	NOUN
ejpam-6364	71	24	<	<	X
ejpam-6364	71	25	∞.	∞.	PROPN
ejpam-6364	71	26	(	(	PUNCT
ejpam-6364	71	27	4	4	NUM
ejpam-6364	71	28	)	)	PUNCT
ejpam-6364	71	29	where	where	SCONJ
ejpam-6364	71	30	t	t	PROPN
ejpam-6364	71	31	∈	∈	PROPN
ejpam-6364	72	1	[	[	X
ejpam-6364	72	2	0	0	NUM
ejpam-6364	72	3	,	,	PUNCT
ejpam-6364	72	4	t	t	PROPN
ejpam-6364	72	5	]	]	X
ejpam-6364	72	6	=	=	PUNCT
ejpam-6364	72	7	m	m	VERB
ejpam-6364	72	8	.	.	PUNCT
ejpam-6364	72	9	additionally	additionally	ADV
ejpam-6364	72	10	,	,	PUNCT
ejpam-6364	72	11	using	use	VERB
ejpam-6364	72	12	the	the	DET
ejpam-6364	72	13	same	same	ADJ
ejpam-6364	72	14	process	process	NOUN
ejpam-6364	72	15	,	,	PUNCT
ejpam-6364	72	16	we	we	PRON
ejpam-6364	72	17	have	have	VERB
ejpam-6364	72	18	|h2	|h2	NOUN
ejpam-6364	72	19	(	(	PUNCT
ejpam-6364	72	20	t	t	PROPN
ejpam-6364	72	21	,	,	PUNCT
ejpam-6364	72	22	s	s	PROPN
ejpam-6364	72	23	,	,	PUNCT
ejpam-6364	72	24	i	i	PRON
ejpam-6364	72	25	,	,	PUNCT
ejpam-6364	72	26	t	t	PROPN
ejpam-6364	72	27	,	,	PUNCT
ejpam-6364	72	28	r	r	NOUN
ejpam-6364	72	29	)	)	PUNCT
ejpam-6364	73	1	|	|	ADV
ejpam-6364	73	2	=|	=|	SYM
ejpam-6364	73	3	ksi	ksi	NOUN
ejpam-6364	73	4	1	1	NUM
ejpam-6364	73	5	+	+	CCONJ
ejpam-6364	73	6	βi	βi	PRON
ejpam-6364	73	7	−	−	PROPN
ejpam-6364	73	8	(	(	PUNCT
ejpam-6364	73	9	α+	α+	X
ejpam-6364	73	10	µ+	µ+	X
ejpam-6364	73	11	d0)i|	d0)i|	NOUN
ejpam-6364	73	12	≤	≤	NOUN
ejpam-6364	74	1	k	k	X
ejpam-6364	75	1	1	1	NUM
ejpam-6364	76	1	+	+	CCONJ
ejpam-6364	76	2	βk2	βk2	VERB
ejpam-6364	76	3	k1k2	k1k2	PROPN
ejpam-6364	76	4	+	+	CCONJ
ejpam-6364	76	5	(	(	PUNCT
ejpam-6364	76	6	α+	α+	X
ejpam-6364	76	7	µ+	µ+	PUNCT
ejpam-6364	76	8	d0)k2	d0)k2	NOUN
ejpam-6364	76	9	<	<	X
ejpam-6364	76	10	∞.	∞.	PROPN
ejpam-6364	76	11	(	(	PUNCT
ejpam-6364	76	12	5	5	NUM
ejpam-6364	76	13	)	)	PUNCT
ejpam-6364	76	14	|h3	|h3	NOUN
ejpam-6364	76	15	(	(	PUNCT
ejpam-6364	76	16	t	t	PROPN
ejpam-6364	76	17	,	,	PUNCT
ejpam-6364	76	18	s	s	PROPN
ejpam-6364	76	19	,	,	PUNCT
ejpam-6364	76	20	i	i	PRON
ejpam-6364	76	21	,	,	PUNCT
ejpam-6364	76	22	t	t	PROPN
ejpam-6364	76	23	,	,	PUNCT
ejpam-6364	76	24	r	r	NOUN
ejpam-6364	76	25	)	)	PUNCT
ejpam-6364	76	26	|	|	NOUN
ejpam-6364	77	1	=	=	SYM
ejpam-6364	77	2	|µi	|µi	NUM
ejpam-6364	77	3	−	−	PROPN
ejpam-6364	77	4	(	(	PUNCT
ejpam-6364	77	5	r	r	NOUN
ejpam-6364	77	6	+	+	CCONJ
ejpam-6364	77	7	d0)t	d0)t	ADJ
ejpam-6364	77	8	|	|	CCONJ
ejpam-6364	77	9	≤µk2	≤µk2	PROPN
ejpam-6364	77	10	+	+	SYM
ejpam-6364	77	11	(	(	PUNCT
ejpam-6364	77	12	r	r	NOUN
ejpam-6364	77	13	+	+	NOUN
ejpam-6364	77	14	d0)k3	d0)k3	NOUN
ejpam-6364	77	15	<	<	X
ejpam-6364	77	16	∞.	∞.	PROPN
ejpam-6364	77	17	(	(	PUNCT
ejpam-6364	77	18	6	6	NUM
ejpam-6364	77	19	)	)	PUNCT
ejpam-6364	77	20	|h4	|h4	PUNCT
ejpam-6364	77	21	(	(	PUNCT
ejpam-6364	77	22	t	t	PROPN
ejpam-6364	77	23	,	,	PUNCT
ejpam-6364	77	24	s	s	PROPN
ejpam-6364	77	25	,	,	PUNCT
ejpam-6364	77	26	i	i	PRON
ejpam-6364	77	27	,	,	PUNCT
ejpam-6364	77	28	t	t	PROPN
ejpam-6364	77	29	,	,	PUNCT
ejpam-6364	77	30	r	r	NOUN
ejpam-6364	77	31	)	)	PUNCT
ejpam-6364	78	1	|	|	NOUN
ejpam-6364	78	2	=	=	PRON
ejpam-6364	78	3	|rt	|rt	NOUN
ejpam-6364	78	4	+	+	NOUN
ejpam-6364	78	5	αi	αi	VERB
ejpam-6364	78	6	−	−	NOUN
ejpam-6364	78	7	d0r|	d0r|	X
ejpam-6364	78	8	≤rk3	≤rk3	PROPN
ejpam-6364	78	9	+	+	NUM
ejpam-6364	78	10	αk2	αk2	NOUN
ejpam-6364	79	1	+	+	CCONJ
ejpam-6364	79	2	(	(	PUNCT
ejpam-6364	79	3	d0)k4	d0)k4	X
ejpam-6364	79	4	<	<	X
ejpam-6364	79	5	∞.	∞.	PROPN
ejpam-6364	79	6	(	(	PUNCT
ejpam-6364	79	7	7	7	NUM
ejpam-6364	79	8	)	)	PUNCT
ejpam-6364	79	9	r.	r.	PROPN
ejpam-6364	79	10	ud	ud	AUX
ejpam-6364	79	11	din	din	VERB
ejpam-6364	79	12	et	et	PROPN
ejpam-6364	79	13	al	al	PROPN
ejpam-6364	79	14	.	.	PUNCT
ejpam-6364	79	15	/	/	SYM
ejpam-6364	79	16	eur	eur	PROPN
ejpam-6364	79	17	.	.	PUNCT
ejpam-6364	80	1	j.	j.	PROPN
ejpam-6364	80	2	pure	pure	PROPN
ejpam-6364	80	3	appl	appl	PROPN
ejpam-6364	80	4	.	.	PROPN
ejpam-6364	80	5	math	math	PROPN
ejpam-6364	80	6	,	,	PUNCT
ejpam-6364	80	7	18	18	NUM
ejpam-6364	80	8	(	(	PUNCT
ejpam-6364	80	9	4	4	NUM
ejpam-6364	80	10	)	)	PUNCT
ejpam-6364	80	11	(	(	PUNCT
ejpam-6364	80	12	2025	2025	NUM
ejpam-6364	80	13	)	)	PUNCT
ejpam-6364	80	14	,	,	PUNCT
ejpam-6364	80	15	6364	6364	NUM
ejpam-6364	80	16	6	6	NUM
ejpam-6364	80	17	of	of	ADP
ejpam-6364	80	18	23	23	NUM
ejpam-6364	80	19	thus	thus	ADV
ejpam-6364	80	20	s	s	PART
ejpam-6364	80	21	,	,	PUNCT
ejpam-6364	80	22	i	i	PRON
ejpam-6364	80	23	,	,	PUNCT
ejpam-6364	80	24	t	t	PROPN
ejpam-6364	80	25	and	and	CCONJ
ejpam-6364	80	26	r	r	NOUN
ejpam-6364	80	27	are	be	AUX
ejpam-6364	80	28	bounded	bound	VERB
ejpam-6364	80	29	and	and	CCONJ
ejpam-6364	80	30	there	there	PRON
ejpam-6364	80	31	exist	exist	VERB
ejpam-6364	80	32	l1	l1	PROPN
ejpam-6364	80	33	,	,	PUNCT
ejpam-6364	80	34	l2	l2	NOUN
ejpam-6364	80	35	,	,	PUNCT
ejpam-6364	80	36	l3	l3	PROPN
ejpam-6364	80	37	and	and	CCONJ
ejpam-6364	80	38	l4	l4	PROPN
ejpam-6364	80	39	such	such	DET
ejpam-6364	80	40	that	that	DET
ejpam-6364	80	41	sup	sup	NOUN
ejpam-6364	80	42	m	m	VERB
ejpam-6364	80	43	|h1	|h1	PRON
ejpam-6364	80	44	(	(	PUNCT
ejpam-6364	80	45	t	t	PROPN
ejpam-6364	80	46	,	,	PUNCT
ejpam-6364	80	47	s	s	PROPN
ejpam-6364	80	48	,	,	PUNCT
ejpam-6364	80	49	i	i	PRON
ejpam-6364	80	50	,	,	PUNCT
ejpam-6364	80	51	t	t	PROPN
ejpam-6364	80	52	,	,	PUNCT
ejpam-6364	80	53	r	r	NOUN
ejpam-6364	80	54	)	)	PUNCT
ejpam-6364	80	55	|	|	ADV
ejpam-6364	80	56	<	<	X
ejpam-6364	80	57	l1	l1	PROPN
ejpam-6364	80	58	,	,	PUNCT
ejpam-6364	80	59	sup	sup	NOUN
ejpam-6364	80	60	m	m	VERB
ejpam-6364	80	61	|h2	|h2	NOUN
ejpam-6364	80	62	(	(	PUNCT
ejpam-6364	80	63	t	t	PROPN
ejpam-6364	80	64	,	,	PUNCT
ejpam-6364	80	65	s	s	PROPN
ejpam-6364	80	66	,	,	PUNCT
ejpam-6364	80	67	i	i	PRON
ejpam-6364	80	68	,	,	PUNCT
ejpam-6364	80	69	t	t	PROPN
ejpam-6364	80	70	,	,	PUNCT
ejpam-6364	80	71	r	r	NOUN
ejpam-6364	80	72	)	)	PUNCT
ejpam-6364	80	73	|	|	ADV
ejpam-6364	80	74	<	<	X
ejpam-6364	80	75	l2	l2	NOUN
ejpam-6364	80	76	,	,	PUNCT
ejpam-6364	80	77	sup	sup	NOUN
ejpam-6364	80	78	m	m	VERB
ejpam-6364	80	79	|h3	|h3	NOUN
ejpam-6364	80	80	(	(	PUNCT
ejpam-6364	80	81	t	t	PROPN
ejpam-6364	80	82	,	,	PUNCT
ejpam-6364	80	83	s	s	PROPN
ejpam-6364	80	84	,	,	PUNCT
ejpam-6364	80	85	i	i	PRON
ejpam-6364	80	86	,	,	PUNCT
ejpam-6364	80	87	t	t	PROPN
ejpam-6364	80	88	,	,	PUNCT
ejpam-6364	80	89	r	r	NOUN
ejpam-6364	80	90	)	)	PUNCT
ejpam-6364	81	1	|	|	ADV
ejpam-6364	81	2	<	<	X
ejpam-6364	81	3	l3	l3	PROPN
ejpam-6364	81	4	,	,	PUNCT
ejpam-6364	81	5	sup	sup	NOUN
ejpam-6364	81	6	m	m	PROPN
ejpam-6364	81	7	|h4	|h4	NOUN
ejpam-6364	81	8	(	(	PUNCT
ejpam-6364	81	9	t	t	PROPN
ejpam-6364	81	10	,	,	PUNCT
ejpam-6364	81	11	s	s	PROPN
ejpam-6364	81	12	,	,	PUNCT
ejpam-6364	81	13	i	i	PRON
ejpam-6364	81	14	,	,	PUNCT
ejpam-6364	81	15	t	t	PROPN
ejpam-6364	81	16	,	,	PUNCT
ejpam-6364	81	17	r	r	NOUN
ejpam-6364	81	18	)	)	PUNCT
ejpam-6364	81	19	|	|	ADV
ejpam-6364	81	20	<	<	X
ejpam-6364	81	21	l4	l4	PROPN
ejpam-6364	81	22	.	.	PUNCT
ejpam-6364	82	1	next	next	ADV
ejpam-6364	82	2	,	,	PUNCT
ejpam-6364	82	3	we	we	PRON
ejpam-6364	82	4	have	have	VERB
ejpam-6364	82	5	to	to	PART
ejpam-6364	82	6	prove	prove	VERB
ejpam-6364	82	7	|h1	|h1	PRON
ejpam-6364	82	8	(	(	PUNCT
ejpam-6364	82	9	t	t	PROPN
ejpam-6364	82	10	,	,	PUNCT
ejpam-6364	82	11	s1	s1	PROPN
ejpam-6364	82	12	,	,	PUNCT
ejpam-6364	82	13	i	i	PRON
ejpam-6364	82	14	,	,	PUNCT
ejpam-6364	82	15	t	t	PROPN
ejpam-6364	82	16	,	,	PUNCT
ejpam-6364	82	17	r)−	r)−	PROPN
ejpam-6364	82	18	h1	h1	PROPN
ejpam-6364	82	19	(	(	PUNCT
ejpam-6364	82	20	t	t	PROPN
ejpam-6364	82	21	,	,	PUNCT
ejpam-6364	82	22	s2	s2	PROPN
ejpam-6364	82	23	,	,	PUNCT
ejpam-6364	82	24	i	i	PRON
ejpam-6364	82	25	,	,	PUNCT
ejpam-6364	82	26	t	t	PROPN
ejpam-6364	82	27	,	,	PUNCT
ejpam-6364	82	28	r	r	NOUN
ejpam-6364	82	29	)	)	PUNCT
ejpam-6364	83	1	|	|	NOUN
ejpam-6364	83	2	=	=	SYM
ejpam-6364	83	3	|b−	|b−	X
ejpam-6364	83	4	ks1i	ks1i	X
ejpam-6364	83	5	1	1	NUM
ejpam-6364	83	6	+	+	NUM
ejpam-6364	83	7	βi	βi	PROPN
ejpam-6364	83	8	−	−	PROPN
ejpam-6364	83	9	d0s1	d0s1	ADP
ejpam-6364	83	10	−	−	PROPN
ejpam-6364	83	11	b−	b−	PROPN
ejpam-6364	83	12	ks2i	ks2i	PROPN
ejpam-6364	83	13	1	1	NUM
ejpam-6364	84	1	+	+	CCONJ
ejpam-6364	84	2	βi	βi	NUM
ejpam-6364	84	3	−	−	PROPN
ejpam-6364	84	4	d0s2|	d0s2|	NOUN
ejpam-6364	84	5	<	<	X
ejpam-6364	84	6	(	(	PUNCT
ejpam-6364	84	7	ki	ki	PROPN
ejpam-6364	84	8	1	1	NUM
ejpam-6364	84	9	+	+	CCONJ
ejpam-6364	84	10	βi	βi	PRON
ejpam-6364	84	11	+	+	CCONJ
ejpam-6364	84	12	d0)|s1	d0)|s1	ADJ
ejpam-6364	84	13	−	−	ADP
ejpam-6364	84	14	s2|	s2|	PROPN
ejpam-6364	84	15	<	<	X
ejpam-6364	84	16	k1|s1	k1|s1	PROPN
ejpam-6364	84	17	−	−	PROPN
ejpam-6364	84	18	s2|	s2|	PROPN
ejpam-6364	84	19	,	,	PUNCT
ejpam-6364	84	20	(	(	PUNCT
ejpam-6364	84	21	8)	8)	NUM
ejpam-6364	84	22	where	where	SCONJ
ejpam-6364	84	23	k1	k1	NOUN
ejpam-6364	84	24	=	=	SYM
ejpam-6364	84	25	(	(	PUNCT
ejpam-6364	84	26	ki	ki	PROPN
ejpam-6364	84	27	1+βi	1+βi	PROPN
ejpam-6364	84	28	+	+	NUM
ejpam-6364	84	29	d0	d0	NOUN
ejpam-6364	84	30	)	)	PUNCT
ejpam-6364	84	31	.	.	PUNCT
ejpam-6364	85	1	additionally	additionally	ADV
ejpam-6364	85	2	,	,	PUNCT
ejpam-6364	85	3	using	use	VERB
ejpam-6364	85	4	the	the	DET
ejpam-6364	85	5	same	same	ADJ
ejpam-6364	85	6	technique	technique	NOUN
ejpam-6364	85	7	,	,	PUNCT
ejpam-6364	85	8	we	we	PRON
ejpam-6364	85	9	have	have	VERB
ejpam-6364	85	10	|h2	|h2	NOUN
ejpam-6364	85	11	(	(	PUNCT
ejpam-6364	85	12	t	t	PROPN
ejpam-6364	85	13	,	,	PUNCT
ejpam-6364	85	14	s	s	PROPN
ejpam-6364	85	15	,	,	PUNCT
ejpam-6364	85	16	i1	i1	PROPN
ejpam-6364	85	17	,	,	PUNCT
ejpam-6364	85	18	t	t	PROPN
ejpam-6364	85	19	,	,	PUNCT
ejpam-6364	85	20	r)−	r)−	PROPN
ejpam-6364	85	21	h2	h2	PROPN
ejpam-6364	85	22	(	(	PUNCT
ejpam-6364	85	23	t	t	PROPN
ejpam-6364	85	24	,	,	PUNCT
ejpam-6364	85	25	s	s	PROPN
ejpam-6364	85	26	,	,	PUNCT
ejpam-6364	85	27	i2	i2	PROPN
ejpam-6364	85	28	,	,	PUNCT
ejpam-6364	85	29	t	t	PROPN
ejpam-6364	85	30	,	,	PUNCT
ejpam-6364	85	31	r	r	NOUN
ejpam-6364	85	32	)	)	PUNCT
ejpam-6364	86	1	|	|	ADV
ejpam-6364	86	2	<	<	X
ejpam-6364	86	3	k2|i1	k2|i1	PROPN
ejpam-6364	86	4	−	−	PROPN
ejpam-6364	86	5	i2|	i2|	PROPN
ejpam-6364	86	6	,	,	PUNCT
ejpam-6364	86	7	|h3	|h3	PRON
ejpam-6364	86	8	(	(	PUNCT
ejpam-6364	86	9	t	t	PROPN
ejpam-6364	86	10	,	,	PUNCT
ejpam-6364	86	11	s	s	PROPN
ejpam-6364	86	12	,	,	PUNCT
ejpam-6364	86	13	i	i	PRON
ejpam-6364	86	14	,	,	PUNCT
ejpam-6364	86	15	t	t	PROPN
ejpam-6364	86	16	−	−	PROPN
ejpam-6364	86	17	1,r)−	1,r)−	PROPN
ejpam-6364	86	18	h3	h3	NOUN
ejpam-6364	86	19	(	(	PUNCT
ejpam-6364	86	20	t	t	PROPN
ejpam-6364	86	21	,	,	PUNCT
ejpam-6364	86	22	s	s	PROPN
ejpam-6364	86	23	,	,	PUNCT
ejpam-6364	86	24	i1	i1	PROPN
ejpam-6364	86	25	,	,	PUNCT
ejpam-6364	86	26	t2,r	t2,r	PROPN
ejpam-6364	86	27	)	)	PUNCT
ejpam-6364	86	28	|	|	ADV
ejpam-6364	86	29	<	<	X
ejpam-6364	86	30	k3|t1	k3|t1	NOUN
ejpam-6364	86	31	−	−	PROPN
ejpam-6364	87	1	t2|	t2|	PROPN
ejpam-6364	87	2	,	,	PUNCT
ejpam-6364	87	3	|h4	|h4	PUNCT
ejpam-6364	87	4	(	(	PUNCT
ejpam-6364	87	5	t	t	PROPN
ejpam-6364	87	6	,	,	PUNCT
ejpam-6364	87	7	s	s	PROPN
ejpam-6364	87	8	,	,	PUNCT
ejpam-6364	87	9	i	i	PRON
ejpam-6364	87	10	,	,	PUNCT
ejpam-6364	87	11	t	t	PROPN
ejpam-6364	87	12	,	,	PUNCT
ejpam-6364	87	13	r1)−	r1)−	NOUN
ejpam-6364	87	14	h4	h4	PROPN
ejpam-6364	87	15	(	(	PUNCT
ejpam-6364	87	16	t	t	PROPN
ejpam-6364	87	17	,	,	PUNCT
ejpam-6364	87	18	s	s	PROPN
ejpam-6364	87	19	,	,	PUNCT
ejpam-6364	87	20	i1	i1	PROPN
ejpam-6364	87	21	,	,	PUNCT
ejpam-6364	87	22	t	t	PROPN
ejpam-6364	87	23	,	,	PUNCT
ejpam-6364	87	24	r2	r2	PROPN
ejpam-6364	87	25	)	)	PUNCT
ejpam-6364	88	1	|	|	ADV
ejpam-6364	88	2	<	<	X
ejpam-6364	88	3	k4|r1	k4|r1	PROPN
ejpam-6364	88	4	−r2|	−r2|	PROPN
ejpam-6364	88	5	,	,	PUNCT
ejpam-6364	88	6	where	where	SCONJ
ejpam-6364	88	7	k2	k2	PROPN
ejpam-6364	88	8	=	=	SYM
ejpam-6364	88	9	ki	ki	PROPN
ejpam-6364	88	10	(	(	PUNCT
ejpam-6364	88	11	1	1	NUM
ejpam-6364	88	12	+	+	CCONJ
ejpam-6364	88	13	βi2)(1	βi2)(1	PRON
ejpam-6364	88	14	+	+	CCONJ
ejpam-6364	88	15	βi1	βi1	PROPN
ejpam-6364	88	16	)	)	PUNCT
ejpam-6364	88	17	,	,	PUNCT
ejpam-6364	88	18	k3	k3	X
ejpam-6364	88	19	=	=	PUNCT
ejpam-6364	88	20	r	r	NOUN
ejpam-6364	88	21	+	+	NUM
ejpam-6364	88	22	d0	d0	NOUN
ejpam-6364	88	23	,	,	PUNCT
ejpam-6364	88	24	k4	k4	NOUN
ejpam-6364	88	25	=	=	PUNCT
ejpam-6364	88	26	d0	d0	NOUN
ejpam-6364	88	27	.	.	PUNCT
ejpam-6364	89	1	(	(	PUNCT
ejpam-6364	89	2	9	9	NUM
ejpam-6364	89	3	)	)	PUNCT
ejpam-6364	89	4	therefore	therefore	ADV
ejpam-6364	89	5	,	,	PUNCT
ejpam-6364	89	6	the	the	DET
ejpam-6364	89	7	uniqueness	uniqueness	NOUN
ejpam-6364	89	8	and	and	CCONJ
ejpam-6364	89	9	existence	existence	NOUN
ejpam-6364	89	10	of	of	ADP
ejpam-6364	89	11	model	model	NOUN
ejpam-6364	89	12	(	(	PUNCT
ejpam-6364	89	13	1	1	X
ejpam-6364	89	14	)	)	PUNCT
ejpam-6364	89	15	indicate	indicate	VERB
ejpam-6364	89	16	that	that	SCONJ
ejpam-6364	89	17	it	it	PRON
ejpam-6364	89	18	contains	contain	VERB
ejpam-6364	89	19	a	a	DET
ejpam-6364	89	20	unique	unique	ADJ
ejpam-6364	89	21	set	set	NOUN
ejpam-6364	89	22	of	of	ADP
ejpam-6364	89	23	solutions	solution	NOUN
ejpam-6364	89	24	.	.	PUNCT
ejpam-6364	90	1	2.1	2.1	NUM
ejpam-6364	90	2	.	.	PUNCT
ejpam-6364	90	3	equilibrium	equilibrium	NOUN
ejpam-6364	90	4	points	point	NOUN
ejpam-6364	90	5	we	we	PRON
ejpam-6364	90	6	identified	identify	VERB
ejpam-6364	90	7	two	two	NUM
ejpam-6364	90	8	types	type	NOUN
ejpam-6364	90	9	of	of	ADP
ejpam-6364	90	10	equilibrium	equilibrium	NOUN
ejpam-6364	90	11	points	point	NOUN
ejpam-6364	90	12	for	for	ADP
ejpam-6364	90	13	our	our	PRON
ejpam-6364	90	14	model	model	NOUN
ejpam-6364	90	15	(	(	PUNCT
ejpam-6364	90	16	1	1	NUM
ejpam-6364	90	17	):	):	PUNCT
ejpam-6364	90	18	the	the	DET
ejpam-6364	90	19	disease	disease	NOUN
ejpam-6364	90	20	-	-	PUNCT
ejpam-6364	90	21	free	free	ADJ
ejpam-6364	90	22	equilibrium	equilibrium	NOUN
ejpam-6364	90	23	(	(	PUNCT
ejpam-6364	90	24	dfe	dfe	PROPN
ejpam-6364	90	25	)	)	PUNCT
ejpam-6364	90	26	point	point	NOUN
ejpam-6364	90	27	and	and	CCONJ
ejpam-6364	90	28	the	the	DET
ejpam-6364	90	29	endemic	endemic	ADJ
ejpam-6364	90	30	equilibrium	equilibrium	NOUN
ejpam-6364	90	31	point	point	NOUN
ejpam-6364	90	32	(	(	PUNCT
ejpam-6364	90	33	eep	eep	NOUN
ejpam-6364	90	34	)	)	PUNCT
ejpam-6364	90	35	.	.	PUNCT
ejpam-6364	91	1	dfep	dfep	NOUN
ejpam-6364	91	2	:	:	PUNCT
ejpam-6364	91	3	in	in	ADP
ejpam-6364	91	4	model	model	NOUN
ejpam-6364	91	5	(	(	PUNCT
ejpam-6364	91	6	1	1	NUM
ejpam-6364	91	7	)	)	PUNCT
ejpam-6364	91	8	,	,	PUNCT
ejpam-6364	91	9	the	the	DET
ejpam-6364	91	10	equilibrium	equilibrium	NOUN
ejpam-6364	91	11	point	point	NOUN
ejpam-6364	91	12	that	that	PRON
ejpam-6364	91	13	corresponds	correspond	VERB
ejpam-6364	91	14	to	to	ADP
ejpam-6364	91	15	the	the	DET
ejpam-6364	91	16	absence	absence	NOUN
ejpam-6364	91	17	of	of	ADP
ejpam-6364	91	18	eye	eye	NOUN
ejpam-6364	91	19	infection	infection	NOUN
ejpam-6364	91	20	as	as	ADP
ejpam-6364	91	21	,	,	PUNCT
ejpam-6364	91	22	e0	e0	PROPN
ejpam-6364	91	23	(	(	PUNCT
ejpam-6364	91	24	s	s	PROPN
ejpam-6364	91	25	,	,	PUNCT
ejpam-6364	91	26	i	i	PRON
ejpam-6364	91	27	,	,	PUNCT
ejpam-6364	91	28	t	t	PROPN
ejpam-6364	91	29	,	,	PUNCT
ejpam-6364	91	30	r	r	NOUN
ejpam-6364	91	31	)	)	PUNCT
ejpam-6364	91	32	=	=	SYM
ejpam-6364	91	33	(	(	PUNCT
ejpam-6364	91	34	b	b	NOUN
ejpam-6364	91	35	d0	d0	NOUN
ejpam-6364	91	36	,	,	PUNCT
ejpam-6364	91	37	0	0	NUM
ejpam-6364	91	38	,	,	PUNCT
ejpam-6364	91	39	0	0	NUM
ejpam-6364	91	40	,	,	PUNCT
ejpam-6364	91	41	0	0	NUM
ejpam-6364	91	42	)	)	PUNCT
ejpam-6364	91	43	.	.	PUNCT
ejpam-6364	92	1	(	(	PUNCT
ejpam-6364	92	2	10	10	NUM
ejpam-6364	92	3	)	)	PUNCT
ejpam-6364	92	4	r.	r.	PROPN
ejpam-6364	92	5	ud	ud	AUX
ejpam-6364	92	6	din	din	VERB
ejpam-6364	92	7	et	et	PROPN
ejpam-6364	92	8	al	al	PROPN
ejpam-6364	92	9	.	.	PUNCT
ejpam-6364	92	10	/	/	SYM
ejpam-6364	92	11	eur	eur	PROPN
ejpam-6364	92	12	.	.	PUNCT
ejpam-6364	93	1	j.	j.	PROPN
ejpam-6364	93	2	pure	pure	PROPN
ejpam-6364	93	3	appl	appl	PROPN
ejpam-6364	93	4	.	.	PROPN
ejpam-6364	93	5	math	math	PROPN
ejpam-6364	93	6	,	,	PUNCT
ejpam-6364	93	7	18	18	NUM
ejpam-6364	93	8	(	(	PUNCT
ejpam-6364	93	9	4	4	NUM
ejpam-6364	93	10	)	)	PUNCT
ejpam-6364	93	11	(	(	PUNCT
ejpam-6364	93	12	2025	2025	NUM
ejpam-6364	93	13	)	)	PUNCT
ejpam-6364	93	14	,	,	PUNCT
ejpam-6364	93	15	6364	6364	NUM
ejpam-6364	93	16	7	7	NUM
ejpam-6364	93	17	of	of	ADP
ejpam-6364	93	18	23	23	NUM
ejpam-6364	93	19	endemic	endemic	ADJ
ejpam-6364	93	20	equilibrium	equilibrium	NOUN
ejpam-6364	93	21	point	point	NOUN
ejpam-6364	93	22	eep	eep	PROPN
ejpam-6364	93	23	:	:	PUNCT
ejpam-6364	93	24	the	the	DET
ejpam-6364	93	25	endemic	endemic	ADJ
ejpam-6364	93	26	equilibrium	equilibrium	NOUN
ejpam-6364	93	27	point	point	NOUN
ejpam-6364	93	28	is	be	AUX
ejpam-6364	93	29	define	define	VERB
ejpam-6364	93	30	as	as	ADP
ejpam-6364	93	31	,	,	PUNCT
ejpam-6364	93	32	the	the	DET
ejpam-6364	93	33	situation	situation	NOUN
ejpam-6364	93	34	in	in	ADP
ejpam-6364	93	35	which	which	PRON
ejpam-6364	93	36	eye	eye	NOUN
ejpam-6364	93	37	infection	infection	NOUN
ejpam-6364	93	38	are	be	AUX
ejpam-6364	93	39	present	present	ADJ
ejpam-6364	93	40	in	in	ADP
ejpam-6364	93	41	the	the	DET
ejpam-6364	93	42	population	population	NOUN
ejpam-6364	93	43	,	,	PUNCT
ejpam-6364	93	44	we	we	PRON
ejpam-6364	93	45	find	find	VERB
ejpam-6364	93	46	the	the	DET
ejpam-6364	93	47	eep	eep	NOUN
ejpam-6364	93	48	,	,	PUNCT
ejpam-6364	93	49	e∗	e∗	PROPN
ejpam-6364	93	50	=	=	SYM
ejpam-6364	93	51	(	(	PUNCT
ejpam-6364	93	52	s∗	s∗	PROPN
ejpam-6364	93	53	,	,	PUNCT
ejpam-6364	93	54	i∗	i∗	PROPN
ejpam-6364	93	55	,	,	PUNCT
ejpam-6364	93	56	t	t	PROPN
ejpam-6364	93	57	∗,r∗	∗,r∗	PROPN
ejpam-6364	93	58	)	)	PUNCT
ejpam-6364	93	59	are	be	AUX
ejpam-6364	93	60	,	,	PUNCT
ejpam-6364	93	61	s∗(t	s∗(t	NOUN
ejpam-6364	93	62	)	)	PUNCT
ejpam-6364	93	63	=	=	SYM
ejpam-6364	93	64	α+	α+	X
ejpam-6364	93	65	µ+	µ+	X
ejpam-6364	93	66	d0	d0	NOUN
ejpam-6364	93	67	k	k	PROPN
ejpam-6364	94	1	[	[	PUNCT
ejpam-6364	94	2	1	1	NUM
ejpam-6364	94	3	+	+	CCONJ
ejpam-6364	94	4	βd0(r0	βd0(r0	ADP
ejpam-6364	94	5	−	−	NUM
ejpam-6364	94	6	1	1	NUM
ejpam-6364	94	7	)	)	PUNCT
ejpam-6364	94	8	k	k	NOUN
ejpam-6364	95	1	+	+	CCONJ
ejpam-6364	95	2	d0β	d0β	X
ejpam-6364	95	3	]	]	PUNCT
ejpam-6364	95	4	,	,	PUNCT
ejpam-6364	95	5	i∗(t	i∗(t	PROPN
ejpam-6364	95	6	)	)	PUNCT
ejpam-6364	95	7	=	=	PRON
ejpam-6364	96	1	d0(r0	d0(r0	ADJ
ejpam-6364	96	2	−	−	NUM
ejpam-6364	96	3	1	1	NUM
ejpam-6364	96	4	)	)	PUNCT
ejpam-6364	96	5	k	k	NOUN
ejpam-6364	97	1	+	+	CCONJ
ejpam-6364	97	2	d0β	d0β	PROPN
ejpam-6364	97	3	,	,	PUNCT
ejpam-6364	97	4	t	t	PROPN
ejpam-6364	97	5	∗(t	∗(t	NOUN
ejpam-6364	97	6	)	)	PUNCT
ejpam-6364	97	7	=	=	SYM
ejpam-6364	97	8	µ	µ	X
ejpam-6364	97	9	d0	d0	NOUN
ejpam-6364	97	10	+	+	CCONJ
ejpam-6364	97	11	r	r	X
ejpam-6364	97	12	[	[	PUNCT
ejpam-6364	97	13	d0(r0	d0(r0	ADJ
ejpam-6364	97	14	−	−	NOUN
ejpam-6364	97	15	1	1	NUM
ejpam-6364	97	16	)	)	PUNCT
ejpam-6364	97	17	k	k	NOUN
ejpam-6364	98	1	+	+	CCONJ
ejpam-6364	98	2	d0β	d0β	X
ejpam-6364	98	3	]	]	PUNCT
ejpam-6364	98	4	,	,	PUNCT
ejpam-6364	98	5	r∗(t	r∗(t	NOUN
ejpam-6364	98	6	)	)	PUNCT
ejpam-6364	98	7	=	=	PRON
ejpam-6364	98	8	(	(	PUNCT
ejpam-6364	98	9	r0	r0	NOUN
ejpam-6364	98	10	−	−	NOUN
ejpam-6364	98	11	1	1	NUM
ejpam-6364	98	12	)	)	PUNCT
ejpam-6364	98	13	k	k	NOUN
ejpam-6364	99	1	+	+	PUNCT
ejpam-6364	99	2	d0β	d0β	X
ejpam-6364	99	3	[	[	PUNCT
ejpam-6364	99	4	α+	α+	PUNCT
ejpam-6364	99	5	rµ	rµ	INTJ
ejpam-6364	99	6	d0	d0	NOUN
ejpam-6364	99	7	+	+	CCONJ
ejpam-6364	99	8	r	r	NOUN
ejpam-6364	99	9	]	]	PUNCT
ejpam-6364	99	10	.	.	PUNCT
ejpam-6364	100	1	(	(	PUNCT
ejpam-6364	100	2	11	11	NUM
ejpam-6364	100	3	)	)	PUNCT
ejpam-6364	100	4	2.2	2.2	NUM
ejpam-6364	100	5	.	.	PUNCT
ejpam-6364	101	1	expression	expression	NOUN
ejpam-6364	101	2	for	for	ADP
ejpam-6364	101	3	r0	r0	NOUN
ejpam-6364	101	4	epidemiology	epidemiology	NOUN
ejpam-6364	101	5	uses	use	VERB
ejpam-6364	101	6	the	the	DET
ejpam-6364	101	7	fundamental	fundamental	ADJ
ejpam-6364	101	8	threshold	threshold	NOUN
ejpam-6364	101	9	number	number	NOUN
ejpam-6364	101	10	,	,	PUNCT
ejpam-6364	101	11	or	or	CCONJ
ejpam-6364	101	12	r0	r0	NOUN
ejpam-6364	101	13	,	,	PUNCT
ejpam-6364	101	14	to	to	PART
ejpam-6364	101	15	explain	explain	VERB
ejpam-6364	101	16	how	how	SCONJ
ejpam-6364	101	17	illnesses	illness	NOUN
ejpam-6364	101	18	spread	spread	VERB
ejpam-6364	101	19	and	and	CCONJ
ejpam-6364	101	20	are	be	AUX
ejpam-6364	101	21	treated	treat	VERB
ejpam-6364	101	22	.	.	PUNCT
ejpam-6364	102	1	we	we	PRON
ejpam-6364	102	2	can	can	AUX
ejpam-6364	102	3	determine	determine	VERB
ejpam-6364	102	4	whether	whether	SCONJ
ejpam-6364	102	5	the	the	DET
ejpam-6364	102	6	eye	eye	NOUN
ejpam-6364	102	7	disease	disease	NOUN
ejpam-6364	102	8	is	be	AUX
ejpam-6364	102	9	spreading	spread	VERB
ejpam-6364	102	10	through	through	ADP
ejpam-6364	102	11	the	the	DET
ejpam-6364	102	12	neighborhood	neighborhood	NOUN
ejpam-6364	102	13	and	and	CCONJ
ejpam-6364	102	14	the	the	DET
ejpam-6364	102	15	most	most	ADV
ejpam-6364	102	16	effective	effective	ADJ
ejpam-6364	102	17	strategies	strategy	NOUN
ejpam-6364	102	18	to	to	PART
ejpam-6364	102	19	shield	shield	VERB
ejpam-6364	102	20	the	the	DET
ejpam-6364	102	21	local	local	ADJ
ejpam-6364	102	22	populace	populace	NOUN
ejpam-6364	102	23	from	from	ADP
ejpam-6364	102	24	this	this	DET
ejpam-6364	102	25	dangerous	dangerous	ADJ
ejpam-6364	102	26	infection	infection	NOUN
ejpam-6364	102	27	by	by	ADP
ejpam-6364	102	28	examining	examine	VERB
ejpam-6364	102	29	r0	r0	NOUN
ejpam-6364	102	30	.	.	PUNCT
ejpam-6364	103	1	as	as	SCONJ
ejpam-6364	103	2	seen	see	VERB
ejpam-6364	103	3	below	below	ADV
ejpam-6364	103	4	,	,	PUNCT
ejpam-6364	103	5	r0	r0	NOUN
ejpam-6364	103	6	is	be	AUX
ejpam-6364	103	7	found	find	VERB
ejpam-6364	103	8	using	use	VERB
ejpam-6364	103	9	the	the	DET
ejpam-6364	103	10	next	next	ADJ
ejpam-6364	103	11	-	-	PUNCT
ejpam-6364	103	12	generation	generation	NOUN
ejpam-6364	103	13	method	method	NOUN
ejpam-6364	103	14	.	.	PUNCT
ejpam-6364	104	1	let	let	VERB
ejpam-6364	104	2	φ	φ	PROPN
ejpam-6364	104	3	=	=	SYM
ejpam-6364	104	4	(	(	PUNCT
ejpam-6364	104	5	s	s	X
ejpam-6364	104	6	,	,	PUNCT
ejpam-6364	104	7	i),from	i),from	ADP
ejpam-6364	104	8	the	the	DET
ejpam-6364	104	9	model	model	NOUN
ejpam-6364	104	10	(	(	PUNCT
ejpam-6364	104	11	1	1	NUM
ejpam-6364	104	12	)	)	PUNCT
ejpam-6364	104	13	,	,	PUNCT
ejpam-6364	104	14	d⊕	d⊕	ADJ
ejpam-6364	104	15	dt	dt	NOUN
ejpam-6364	104	16	=	=	PUNCT
ejpam-6364	104	17	f−	f−	PROPN
ejpam-6364	104	18	v	v	NOUN
ejpam-6364	104	19	,	,	PUNCT
ejpam-6364	104	20	where	where	SCONJ
ejpam-6364	104	21	f	f	PROPN
ejpam-6364	104	22	=	=	PRON
ejpam-6364	104	23	(	(	PUNCT
ejpam-6364	104	24	ksi	ksi	PROPN
ejpam-6364	104	25	1+βi	1+βi	NUM
ejpam-6364	104	26	0	0	NUM
ejpam-6364	104	27	)	)	PUNCT
ejpam-6364	104	28	and	and	CCONJ
ejpam-6364	104	29	v	v	X
ejpam-6364	104	30	=	=	PUNCT
ejpam-6364	104	31	(	(	PUNCT
ejpam-6364	104	32	−b+	−b+	NOUN
ejpam-6364	104	33	d0s	d0s	PRON
ejpam-6364	104	34	(	(	PUNCT
ejpam-6364	104	35	α+	α+	X
ejpam-6364	104	36	d0	d0	NOUN
ejpam-6364	104	37	+	+	CCONJ
ejpam-6364	104	38	µ)i	µ)i	X
ejpam-6364	104	39	)	)	PUNCT
ejpam-6364	104	40	.	.	PUNCT
ejpam-6364	105	1	f	f	X
ejpam-6364	105	2	’s	’	VERB
ejpam-6364	105	3	jacobian	jacobian	ADJ
ejpam-6364	105	4	for	for	ADP
ejpam-6364	105	5	the	the	DET
ejpam-6364	105	6	disease	disease	NOUN
ejpam-6364	105	7	-	-	PUNCT
ejpam-6364	105	8	free	free	ADJ
ejpam-6364	105	9	state	state	NOUN
ejpam-6364	105	10	is	be	AUX
ejpam-6364	105	11	df(e0	df(e0	NOUN
ejpam-6364	105	12	)	)	PUNCT
ejpam-6364	105	13	=	=	SYM
ejpam-6364	106	1	(	(	PUNCT
ejpam-6364	106	2	0	0	NUM
ejpam-6364	106	3	ks0	ks0	NOUN
ejpam-6364	106	4	0	0	NUM
ejpam-6364	106	5	0	0	NUM
ejpam-6364	106	6	)	)	PUNCT
ejpam-6364	106	7	and	and	CCONJ
ejpam-6364	106	8	v	v	NOUN
ejpam-6364	106	9	’s	’s	NOUN
ejpam-6364	106	10	jacobian	jacobian	ADJ
ejpam-6364	106	11	for	for	ADP
ejpam-6364	106	12	the	the	DET
ejpam-6364	106	13	disease	disease	NOUN
ejpam-6364	106	14	-	-	PUNCT
ejpam-6364	106	15	free	free	ADJ
ejpam-6364	106	16	state	state	NOUN
ejpam-6364	106	17	is	be	AUX
ejpam-6364	106	18	dv(e0	dv(e0	NOUN
ejpam-6364	106	19	)	)	PUNCT
ejpam-6364	106	20	=	=	SYM
ejpam-6364	106	21	(	(	PUNCT
ejpam-6364	106	22	d0	d0	NOUN
ejpam-6364	106	23	0	0	SYM
ejpam-6364	106	24	0	0	NUM
ejpam-6364	106	25	α+	α+	PUNCT
ejpam-6364	106	26	µ+	µ+	X
ejpam-6364	106	27	d0	d0	NOUN
ejpam-6364	106	28	)	)	PUNCT
ejpam-6364	106	29	hence	hence	ADV
ejpam-6364	106	30	r0	r0	NOUN
ejpam-6364	106	31	=	=	SYM
ejpam-6364	107	1	fv−1	fv−1	NOUN
ejpam-6364	107	2	=	=	PUNCT
ejpam-6364	107	3	kb	kb	PROPN
ejpam-6364	107	4	d0(α+	d0(α+	PROPN
ejpam-6364	107	5	µ+	µ+	X
ejpam-6364	107	6	d0	d0	NOUN
ejpam-6364	107	7	)	)	PUNCT
ejpam-6364	107	8	.	.	PUNCT
ejpam-6364	108	1	(	(	PUNCT
ejpam-6364	108	2	12	12	NUM
ejpam-6364	108	3	)	)	PUNCT
ejpam-6364	108	4	here	here	ADV
ejpam-6364	108	5	,	,	PUNCT
ejpam-6364	108	6	on	on	ADP
ejpam-6364	108	7	the	the	DET
ejpam-6364	108	8	basic	basic	ADJ
ejpam-6364	108	9	reproduction	reproduction	NOUN
ejpam-6364	108	10	number	number	NOUN
ejpam-6364	108	11	r0	r0	NOUN
ejpam-6364	108	12	,	,	PUNCT
ejpam-6364	108	13	we	we	PRON
ejpam-6364	108	14	established	establish	VERB
ejpam-6364	108	15	the	the	DET
ejpam-6364	108	16	following	following	ADJ
ejpam-6364	108	17	result	result	NOUN
ejpam-6364	108	18	.	.	PUNCT
ejpam-6364	109	1	r.	r.	PROPN
ejpam-6364	109	2	ud	ud	AUX
ejpam-6364	109	3	din	din	VERB
ejpam-6364	109	4	et	et	PROPN
ejpam-6364	109	5	al	al	PROPN
ejpam-6364	109	6	.	.	PUNCT
ejpam-6364	109	7	/	/	SYM
ejpam-6364	109	8	eur	eur	PROPN
ejpam-6364	109	9	.	.	PUNCT
ejpam-6364	110	1	j.	j.	PROPN
ejpam-6364	110	2	pure	pure	PROPN
ejpam-6364	110	3	appl	appl	PROPN
ejpam-6364	110	4	.	.	PROPN
ejpam-6364	110	5	math	math	PROPN
ejpam-6364	110	6	,	,	PUNCT
ejpam-6364	110	7	18	18	NUM
ejpam-6364	110	8	(	(	PUNCT
ejpam-6364	110	9	4	4	NUM
ejpam-6364	110	10	)	)	PUNCT
ejpam-6364	110	11	(	(	PUNCT
ejpam-6364	110	12	2025	2025	NUM
ejpam-6364	110	13	)	)	PUNCT
ejpam-6364	110	14	,	,	PUNCT
ejpam-6364	110	15	6364	6364	NUM
ejpam-6364	110	16	8	8	NUM
ejpam-6364	110	17	of	of	ADP
ejpam-6364	110	18	23	23	NUM
ejpam-6364	110	19	3	3	NUM
ejpam-6364	110	20	.	.	PUNCT
ejpam-6364	111	1	stability	stability	NOUN
ejpam-6364	111	2	analysis	analysis	NOUN
ejpam-6364	111	3	in	in	ADP
ejpam-6364	111	4	this	this	DET
ejpam-6364	111	5	section	section	NOUN
ejpam-6364	111	6	,	,	PUNCT
ejpam-6364	111	7	we	we	PRON
ejpam-6364	111	8	analyze	analyze	VERB
ejpam-6364	111	9	the	the	DET
ejpam-6364	111	10	local	local	ADJ
ejpam-6364	111	11	stability	stability	NOUN
ejpam-6364	111	12	of	of	ADP
ejpam-6364	111	13	the	the	DET
ejpam-6364	111	14	system	system	NOUN
ejpam-6364	111	15	(	(	PUNCT
ejpam-6364	111	16	1	1	NUM
ejpam-6364	111	17	)	)	PUNCT
ejpam-6364	111	18	.	.	PUNCT
ejpam-6364	112	1	to	to	PART
ejpam-6364	112	2	derive	derive	VERB
ejpam-6364	112	3	the	the	DET
ejpam-6364	112	4	necessary	necessary	ADJ
ejpam-6364	112	5	results	result	NOUN
ejpam-6364	112	6	using	use	VERB
ejpam-6364	112	7	the	the	DET
ejpam-6364	112	8	jacobian	jacobian	ADJ
ejpam-6364	112	9	matrix	matrix	NOUN
ejpam-6364	112	10	,	,	PUNCT
ejpam-6364	112	11	we	we	PRON
ejpam-6364	112	12	present	present	VERB
ejpam-6364	112	13	the	the	DET
ejpam-6364	112	14	following	follow	VERB
ejpam-6364	112	15	theorem	theorem	PROPN
ejpam-6364	112	16	.	.	PUNCT
ejpam-6364	112	17	theorem	theorem	NOUN
ejpam-6364	112	18	1	1	NUM
ejpam-6364	112	19	.	.	PUNCT
ejpam-6364	113	1	the	the	DET
ejpam-6364	113	2	eye	eye	NOUN
ejpam-6364	113	3	infection	infection	NOUN
ejpam-6364	113	4	model	model	NOUN
ejpam-6364	113	5	(	(	PUNCT
ejpam-6364	113	6	1	1	X
ejpam-6364	113	7	)	)	PUNCT
ejpam-6364	113	8	is	be	AUX
ejpam-6364	113	9	locally	locally	ADV
ejpam-6364	113	10	asymptotically	asymptotically	ADV
ejpam-6364	113	11	stable	stable	ADJ
ejpam-6364	113	12	,	,	PUNCT
ejpam-6364	113	13	if	if	SCONJ
ejpam-6364	113	14	r0	r0	NOUN
ejpam-6364	113	15	<	<	X
ejpam-6364	113	16	1	1	NUM
ejpam-6364	113	17	.	.	PUNCT
ejpam-6364	113	18	proof	proof	NOUN
ejpam-6364	113	19	.	.	PUNCT
ejpam-6364	114	1	jacobian	jacobian	ADJ
ejpam-6364	114	2	matrix	matrix	NOUN
ejpam-6364	114	3	of	of	ADP
ejpam-6364	114	4	eye	eye	NOUN
ejpam-6364	114	5	infection	infection	NOUN
ejpam-6364	114	6	system	system	NOUN
ejpam-6364	114	7	(	(	PUNCT
ejpam-6364	114	8	1	1	NUM
ejpam-6364	114	9	)	)	PUNCT
ejpam-6364	114	10	as	as	ADP
ejpam-6364	114	11	,	,	PUNCT
ejpam-6364	114	12	j	j	PROPN
ejpam-6364	114	13	0	0	NUM
ejpam-6364	115	1	=	=	SYM
ejpam-6364	115	2			NOUN
ejpam-6364	116	1	−d0	−d0	PROPN
ejpam-6364	116	2	−k	−k	PROPN
ejpam-6364	116	3	b	b	PROPN
ejpam-6364	116	4	d0	d0	NOUN
ejpam-6364	116	5	0	0	NUM
ejpam-6364	116	6	0	0	NUM
ejpam-6364	116	7	0	0	NUM
ejpam-6364	116	8	k	k	PROPN
ejpam-6364	116	9	b	b	PROPN
ejpam-6364	116	10	d0	d0	NOUN
ejpam-6364	116	11	−	−	PROPN
ejpam-6364	116	12	(	(	PUNCT
ejpam-6364	116	13	α+	α+	X
ejpam-6364	116	14	µ+	µ+	X
ejpam-6364	116	15	d0	d0	NOUN
ejpam-6364	116	16	)	)	PUNCT
ejpam-6364	116	17	0	0	NUM
ejpam-6364	116	18	0	0	NUM
ejpam-6364	116	19	0	0	NUM
ejpam-6364	116	20	µ	µ	PRON
ejpam-6364	116	21	−(r	−(r	NOUN
ejpam-6364	116	22	+	+	CCONJ
ejpam-6364	116	23	d0	d0	NOUN
ejpam-6364	116	24	)	)	PUNCT
ejpam-6364	116	25	0	0	NUM
ejpam-6364	116	26	0	0	NUM
ejpam-6364	117	1	α	α	NOUN
ejpam-6364	117	2	r	r	NOUN
ejpam-6364	117	3	−d0	−d0	NOUN
ejpam-6364	117	4			NOUN
ejpam-6364	117	5	,	,	PUNCT
ejpam-6364	117	6	and	and	CCONJ
ejpam-6364	117	7	|λ−	|λ−	PROPN
ejpam-6364	117	8	j	j	PROPN
ejpam-6364	117	9	0(q)|	0(q)|	NUM
ejpam-6364	118	1	=	=	SYM
ejpam-6364	118	2	0	0	X
ejpam-6364	118	3	.	.	PUNCT
ejpam-6364	119	1	hence	hence	ADV
ejpam-6364	119	2	λ1	λ1	PROPN
ejpam-6364	119	3	=	=	SYM
ejpam-6364	119	4	−d0	−d0	PROPN
ejpam-6364	119	5	,	,	PUNCT
ejpam-6364	119	6	λ2	λ2	NOUN
ejpam-6364	119	7	=	=	SYM
ejpam-6364	119	8	−(r	−(r	NOUN
ejpam-6364	119	9	+	+	CCONJ
ejpam-6364	119	10	d0	d0	NOUN
ejpam-6364	119	11	)	)	PUNCT
ejpam-6364	119	12	,	,	PUNCT
ejpam-6364	119	13	λ3	λ3	PROPN
ejpam-6364	119	14	=	=	SYM
ejpam-6364	119	15	−d0	−d0	PROPN
ejpam-6364	119	16	,	,	PUNCT
ejpam-6364	119	17	and	and	CCONJ
ejpam-6364	119	18	λ4	λ4	PROPN
ejpam-6364	119	19	=	=	SYM
ejpam-6364	119	20	kb	kb	PROPN
ejpam-6364	119	21	d0	d0	PROPN
ejpam-6364	119	22	−	−	PROPN
ejpam-6364	119	23	(	(	PUNCT
ejpam-6364	119	24	α+	α+	X
ejpam-6364	119	25	µ+	µ+	X
ejpam-6364	119	26	d0	d0	NOUN
ejpam-6364	119	27	)	)	PUNCT
ejpam-6364	119	28	,	,	PUNCT
ejpam-6364	119	29	=	=	NOUN
ejpam-6364	119	30	1	1	X
ejpam-6364	119	31	(	(	PUNCT
ejpam-6364	119	32	α+	α+	X
ejpam-6364	119	33	µ+	µ+	X
ejpam-6364	119	34	d0	d0	NOUN
ejpam-6364	119	35	)	)	PUNCT
ejpam-6364	119	36	(	(	PUNCT
ejpam-6364	119	37	kb	kb	PROPN
ejpam-6364	119	38	d0((α+	d0((α+	PROPN
ejpam-6364	119	39	µ+	µ+	X
ejpam-6364	119	40	d0	d0	NOUN
ejpam-6364	119	41	)	)	PUNCT
ejpam-6364	119	42	)	)	PUNCT
ejpam-6364	120	1	−	−	PROPN
ejpam-6364	120	2	1	1	NUM
ejpam-6364	120	3	)	)	PUNCT
ejpam-6364	120	4	,	,	PUNCT
ejpam-6364	120	5	=	=	NOUN
ejpam-6364	120	6	1	1	NUM
ejpam-6364	120	7	(	(	PUNCT
ejpam-6364	120	8	α+	α+	X
ejpam-6364	120	9	µ+	µ+	X
ejpam-6364	120	10	d0	d0	NOUN
ejpam-6364	120	11	)	)	PUNCT
ejpam-6364	120	12	(	(	PUNCT
ejpam-6364	120	13	r0	r0	NOUN
ejpam-6364	120	14	−	−	PROPN
ejpam-6364	120	15	1	1	NUM
ejpam-6364	120	16	)	)	PUNCT
ejpam-6364	120	17	,	,	PUNCT
ejpam-6364	120	18	hence	hence	ADV
ejpam-6364	120	19	,	,	PUNCT
ejpam-6364	120	20	if	if	SCONJ
ejpam-6364	120	21	(	(	PUNCT
ejpam-6364	120	22	r0	r0	NOUN
ejpam-6364	120	23	−	−	NOUN
ejpam-6364	120	24	1	1	NUM
ejpam-6364	120	25	)	)	PUNCT
ejpam-6364	120	26	<	<	X
ejpam-6364	120	27	0	0	PUNCT
ejpam-6364	121	1	then	then	ADV
ejpam-6364	121	2	λ4	λ4	PROPN
ejpam-6364	121	3	is	be	AUX
ejpam-6364	121	4	negative	negative	ADJ
ejpam-6364	121	5	and	and	CCONJ
ejpam-6364	121	6	remaining	remaining	ADJ
ejpam-6364	121	7	eigenvalues	eigenvalue	NOUN
ejpam-6364	121	8	of	of	ADP
ejpam-6364	121	9	j	j	PROPN
ejpam-6364	121	10	0	0	NUM
ejpam-6364	121	11	are	be	AUX
ejpam-6364	121	12	negative	negative	ADJ
ejpam-6364	121	13	,	,	PUNCT
ejpam-6364	121	14	therefore	therefore	ADV
ejpam-6364	121	15	the	the	DET
ejpam-6364	121	16	eye	eye	NOUN
ejpam-6364	121	17	infection	infection	NOUN
ejpam-6364	121	18	model	model	NOUN
ejpam-6364	121	19	(	(	PUNCT
ejpam-6364	121	20	1	1	X
ejpam-6364	121	21	)	)	PUNCT
ejpam-6364	121	22	is	be	AUX
ejpam-6364	121	23	locally	locally	ADV
ejpam-6364	121	24	asymptotically	asymptotically	ADV
ejpam-6364	121	25	stable	stable	ADJ
ejpam-6364	121	26	.	.	PUNCT
ejpam-6364	122	1	4	4	X
ejpam-6364	122	2	.	.	X
ejpam-6364	122	3	sensitivity	sensitivity	NOUN
ejpam-6364	122	4	analysis	analysis	NOUN
ejpam-6364	122	5	of	of	ADP
ejpam-6364	122	6	r0	r0	NOUN
ejpam-6364	122	7	sensitivity	sensitivity	NOUN
ejpam-6364	122	8	analysis	analysis	NOUN
ejpam-6364	122	9	is	be	AUX
ejpam-6364	122	10	used	use	VERB
ejpam-6364	122	11	to	to	PART
ejpam-6364	122	12	evaluate	evaluate	VERB
ejpam-6364	122	13	the	the	DET
ejpam-6364	122	14	relative	relative	ADJ
ejpam-6364	122	15	effects	effect	NOUN
ejpam-6364	122	16	of	of	ADP
ejpam-6364	122	17	several	several	ADJ
ejpam-6364	122	18	parameters	parameter	NOUN
ejpam-6364	122	19	on	on	ADP
ejpam-6364	122	20	model	model	NOUN
ejpam-6364	122	21	stability	stability	NOUN
ejpam-6364	122	22	,	,	PUNCT
ejpam-6364	122	23	particularly	particularly	ADV
ejpam-6364	122	24	when	when	SCONJ
ejpam-6364	122	25	dealing	deal	VERB
ejpam-6364	122	26	with	with	ADP
ejpam-6364	122	27	ambiguous	ambiguous	ADJ
ejpam-6364	122	28	data	datum	NOUN
ejpam-6364	122	29	.	.	PUNCT
ejpam-6364	123	1	this	this	DET
ejpam-6364	123	2	study	study	NOUN
ejpam-6364	123	3	also	also	ADV
ejpam-6364	123	4	aids	aid	VERB
ejpam-6364	123	5	in	in	ADP
ejpam-6364	123	6	determining	determine	VERB
ejpam-6364	123	7	the	the	DET
ejpam-6364	123	8	important	important	ADJ
ejpam-6364	123	9	process	process	NOUN
ejpam-6364	123	10	factors	factor	NOUN
ejpam-6364	123	11	.	.	PUNCT
ejpam-6364	124	1	given	give	VERB
ejpam-6364	124	2	that	that	SCONJ
ejpam-6364	124	3	the	the	DET
ejpam-6364	124	4	fundamental	fundamental	ADJ
ejpam-6364	124	5	reproduction	reproduction	NOUN
ejpam-6364	124	6	number	number	NOUN
ejpam-6364	124	7	is	be	AUX
ejpam-6364	124	8	r0	r0	NOUN
ejpam-6364	124	9	=	=	SYM
ejpam-6364	124	10	fv−1	fv−1	NOUN
ejpam-6364	124	11	=	=	PUNCT
ejpam-6364	124	12	kb	kb	PROPN
ejpam-6364	124	13	d0(α+	d0(α+	PROPN
ejpam-6364	124	14	µ+	µ+	X
ejpam-6364	124	15	d0	d0	NOUN
ejpam-6364	124	16	)	)	PUNCT
ejpam-6364	124	17	.	.	PUNCT
ejpam-6364	125	1	r.	r.	PROPN
ejpam-6364	125	2	ud	ud	AUX
ejpam-6364	125	3	din	din	VERB
ejpam-6364	125	4	et	et	PROPN
ejpam-6364	125	5	al	al	PROPN
ejpam-6364	125	6	.	.	PUNCT
ejpam-6364	125	7	/	/	SYM
ejpam-6364	125	8	eur	eur	PROPN
ejpam-6364	125	9	.	.	PUNCT
ejpam-6364	126	1	j.	j.	PROPN
ejpam-6364	126	2	pure	pure	PROPN
ejpam-6364	126	3	appl	appl	PROPN
ejpam-6364	126	4	.	.	PROPN
ejpam-6364	126	5	math	math	PROPN
ejpam-6364	126	6	,	,	PUNCT
ejpam-6364	126	7	18	18	NUM
ejpam-6364	126	8	(	(	PUNCT
ejpam-6364	126	9	4	4	NUM
ejpam-6364	126	10	)	)	PUNCT
ejpam-6364	126	11	(	(	PUNCT
ejpam-6364	126	12	2025	2025	NUM
ejpam-6364	126	13	)	)	PUNCT
ejpam-6364	126	14	,	,	PUNCT
ejpam-6364	126	15	6364	6364	NUM
ejpam-6364	126	16	9	9	NUM
ejpam-6364	126	17	of	of	ADP
ejpam-6364	126	18	23	23	NUM
ejpam-6364	126	19	parameters	parameter	NOUN
ejpam-6364	126	20	sensitivity	sensitivity	NOUN
ejpam-6364	126	21	index	index	NOUN
ejpam-6364	126	22	f(k	f(k	VERB
ejpam-6364	126	23	)	)	PUNCT
ejpam-6364	126	24	1	1	NUM
ejpam-6364	126	25	f(b	f(b	PROPN
ejpam-6364	126	26	)	)	PUNCT
ejpam-6364	126	27	1	1	NUM
ejpam-6364	126	28	f(d0	f(d0	NOUN
ejpam-6364	126	29	)	)	PUNCT
ejpam-6364	126	30	-0.9674	-0.9674	NOUN
ejpam-6364	126	31	f(α	f(α	NOUN
ejpam-6364	126	32	)	)	PUNCT
ejpam-6364	126	33	-0.0124	-0.0124	PUNCT
ejpam-6364	127	1	f(µ	f(µ	NUM
ejpam-6364	127	2	)	)	PUNCT
ejpam-6364	127	3	-0.0124	-0.0124	NOUN
ejpam-6364	127	4	table	table	NOUN
ejpam-6364	127	5	2	2	NUM
ejpam-6364	127	6	:	:	PUNCT
ejpam-6364	127	7	sensitivity	sensitivity	NOUN
ejpam-6364	127	8	indices	index	NOUN
ejpam-6364	127	9	of	of	ADP
ejpam-6364	127	10	r0	r0	NOUN
ejpam-6364	127	11	with	with	ADP
ejpam-6364	127	12	respect	respect	NOUN
ejpam-6364	127	13	to	to	ADP
ejpam-6364	127	14	model	model	NOUN
ejpam-6364	127	15	parameters	parameter	NOUN
ejpam-6364	127	16	.	.	PUNCT
ejpam-6364	127	17	)	)	PUNCT
ejpam-6364	127	18	.	.	PUNCT
ejpam-6364	128	1	figure	figure	VERB
ejpam-6364	128	2	3	3	NUM
ejpam-6364	128	3	:	:	PUNCT
ejpam-6364	128	4	r0	r0	NOUN
ejpam-6364	128	5	sensitivity	sensitivity	NOUN
ejpam-6364	128	6	indices	index	NOUN
ejpam-6364	128	7	relative	relative	ADJ
ejpam-6364	128	8	to	to	ADP
ejpam-6364	128	9	model	model	NOUN
ejpam-6364	128	10	(	(	PUNCT
ejpam-6364	128	11	1	1	NUM
ejpam-6364	128	12	)	)	PUNCT
ejpam-6364	128	13	parameters	parameter	NOUN
ejpam-6364	128	14	.	.	PUNCT
ejpam-6364	129	1	we	we	PRON
ejpam-6364	129	2	can	can	AUX
ejpam-6364	129	3	investigate	investigate	VERB
ejpam-6364	129	4	the	the	DET
ejpam-6364	129	5	sensitivity	sensitivity	NOUN
ejpam-6364	129	6	of	of	ADP
ejpam-6364	129	7	r0	r0	NOUN
ejpam-6364	129	8	by	by	ADP
ejpam-6364	129	9	calculating	calculate	VERB
ejpam-6364	129	10	the	the	DET
ejpam-6364	129	11	partial	partial	ADJ
ejpam-6364	129	12	differentiation	differentiation	NOUN
ejpam-6364	129	13	of	of	ADP
ejpam-6364	129	14	the	the	DET
ejpam-6364	129	15	threshold	threshold	NOUN
ejpam-6364	129	16	with	with	ADP
ejpam-6364	129	17	regard	regard	NOUN
ejpam-6364	129	18	to	to	ADP
ejpam-6364	129	19	the	the	DET
ejpam-6364	129	20	relevant	relevant	ADJ
ejpam-6364	129	21	parameters	parameter	NOUN
ejpam-6364	129	22	.	.	PUNCT
ejpam-6364	130	1	f	f	X
ejpam-6364	131	1	[	[	X
ejpam-6364	131	2	y	y	X
ejpam-6364	131	3	]	]	X
ejpam-6364	131	4	=	=	PUNCT
ejpam-6364	131	5	y	y	PROPN
ejpam-6364	131	6	r0	r0	NOUN
ejpam-6364	131	7	∂r0	∂r0	ADP
ejpam-6364	131	8	∂y	∂y	X
ejpam-6364	131	9	,	,	PUNCT
ejpam-6364	131	10	(	(	PUNCT
ejpam-6364	131	11	2	2	X
ejpam-6364	131	12	)	)	PUNCT
ejpam-6364	131	13	the	the	DET
ejpam-6364	131	14	study	study	NOUN
ejpam-6364	131	15	indicates	indicate	VERB
ejpam-6364	131	16	that	that	SCONJ
ejpam-6364	131	17	the	the	DET
ejpam-6364	131	18	parameters	parameter	NOUN
ejpam-6364	131	19	d0	d0	NOUN
ejpam-6364	131	20	,	,	PUNCT
ejpam-6364	131	21	α	α	X
ejpam-6364	131	22	,	,	PUNCT
ejpam-6364	131	23	µ,k	µ,k	NOUN
ejpam-6364	131	24	and	and	CCONJ
ejpam-6364	131	25	b	b	NOUN
ejpam-6364	131	26	experience	experience	NOUN
ejpam-6364	131	27	contraction	contraction	NOUN
ejpam-6364	131	28	and	and	CCONJ
ejpam-6364	131	29	expansion	expansion	NOUN
ejpam-6364	131	30	,	,	PUNCT
ejpam-6364	131	31	respectively	respectively	ADV
ejpam-6364	131	32	,	,	PUNCT
ejpam-6364	131	33	and	and	CCONJ
ejpam-6364	131	34	that	that	SCONJ
ejpam-6364	131	35	the	the	DET
ejpam-6364	131	36	value	value	NOUN
ejpam-6364	131	37	of	of	ADP
ejpam-6364	131	38	r0	r0	NOUN
ejpam-6364	131	39	is	be	AUX
ejpam-6364	131	40	highly	highly	ADV
ejpam-6364	131	41	responsive	responsive	ADJ
ejpam-6364	131	42	to	to	ADP
ejpam-6364	131	43	parameter	parameter	NOUN
ejpam-6364	131	44	variations	variation	NOUN
ejpam-6364	131	45	.	.	PUNCT
ejpam-6364	132	1	therefore	therefore	ADV
ejpam-6364	132	2	,	,	PUNCT
ejpam-6364	132	3	for	for	ADP
ejpam-6364	132	4	effective	effective	ADJ
ejpam-6364	132	5	infection	infection	NOUN
ejpam-6364	132	6	control	control	NOUN
ejpam-6364	132	7	,	,	PUNCT
ejpam-6364	132	8	prevention	prevention	NOUN
ejpam-6364	132	9	should	should	AUX
ejpam-6364	132	10	take	take	VERB
ejpam-6364	132	11	precedence	precedence	NOUN
ejpam-6364	132	12	over	over	ADP
ejpam-6364	132	13	treatment	treatment	NOUN
ejpam-6364	132	14	.	.	PUNCT
ejpam-6364	133	1	the	the	DET
ejpam-6364	133	2	aforementioned	aforementioned	ADJ
ejpam-6364	133	3	indices	index	NOUN
ejpam-6364	133	4	are	be	AUX
ejpam-6364	133	5	useful	useful	ADJ
ejpam-6364	133	6	in	in	ADP
ejpam-6364	133	7	defining	define	VERB
ejpam-6364	133	8	the	the	DET
ejpam-6364	133	9	factors	factor	NOUN
ejpam-6364	133	10	that	that	PRON
ejpam-6364	133	11	are	be	AUX
ejpam-6364	133	12	essential	essential	ADJ
ejpam-6364	133	13	in	in	ADP
ejpam-6364	133	14	defining	define	VERB
ejpam-6364	133	15	the	the	DET
ejpam-6364	133	16	infection	infection	NOUN
ejpam-6364	133	17	’s	’s	PART
ejpam-6364	133	18	capacity	capacity	NOUN
ejpam-6364	133	19	for	for	ADP
ejpam-6364	133	20	propagation	propagation	NOUN
ejpam-6364	133	21	.	.	PUNCT
ejpam-6364	134	1	5	5	X
ejpam-6364	134	2	.	.	NOUN
ejpam-6364	134	3	numerical	numerical	ADJ
ejpam-6364	134	4	analysis	analysis	NOUN
ejpam-6364	134	5	for	for	ADP
ejpam-6364	134	6	the	the	DET
ejpam-6364	134	7	deterministic	deterministic	ADJ
ejpam-6364	134	8	model	model	NOUN
ejpam-6364	134	9	in	in	ADP
ejpam-6364	134	10	this	this	DET
ejpam-6364	134	11	section	section	NOUN
ejpam-6364	134	12	,	,	PUNCT
ejpam-6364	134	13	we	we	PRON
ejpam-6364	134	14	use	use	VERB
ejpam-6364	134	15	numerical	numerical	ADJ
ejpam-6364	134	16	simulations	simulation	NOUN
ejpam-6364	134	17	to	to	PART
ejpam-6364	134	18	confirm	confirm	VERB
ejpam-6364	134	19	the	the	DET
ejpam-6364	134	20	qualitative	qualitative	ADJ
ejpam-6364	134	21	analysis	analysis	NOUN
ejpam-6364	134	22	of	of	ADP
ejpam-6364	134	23	model	model	NOUN
ejpam-6364	134	24	(	(	PUNCT
ejpam-6364	134	25	1	1	NUM
ejpam-6364	134	26	)	)	PUNCT
ejpam-6364	134	27	.	.	PUNCT
ejpam-6364	135	1	we	we	PRON
ejpam-6364	135	2	used	use	VERB
ejpam-6364	135	3	non	non	ADJ
ejpam-6364	135	4	-	-	ADJ
ejpam-6364	135	5	standard	standard	ADJ
ejpam-6364	135	6	finite	finite	ADJ
ejpam-6364	135	7	difference	difference	NOUN
ejpam-6364	135	8	scheme	scheme	NOUN
ejpam-6364	135	9	(	(	PUNCT
ejpam-6364	135	10	nsfd	nsfd	NOUN
ejpam-6364	135	11	)	)	PUNCT
ejpam-6364	136	1	[	[	X
ejpam-6364	136	2	24	24	NUM
ejpam-6364	136	3	,	,	PUNCT
ejpam-6364	136	4	25	25	NUM
ejpam-6364	136	5	]	]	PUNCT
ejpam-6364	136	6	for	for	ADP
ejpam-6364	136	7	simulation	simulation	NOUN
ejpam-6364	136	8	.	.	PUNCT
ejpam-6364	137	1	the	the	DET
ejpam-6364	137	2	model	model	NOUN
ejpam-6364	137	3	’s	’s	PART
ejpam-6364	137	4	first	first	ADJ
ejpam-6364	137	5	equation	equation	NOUN
ejpam-6364	137	6	(	(	PUNCT
ejpam-6364	137	7	1	1	X
ejpam-6364	137	8	)	)	PUNCT
ejpam-6364	137	9	is	be	AUX
ejpam-6364	137	10	rewritten	rewrite	VERB
ejpam-6364	137	11	with	with	ADP
ejpam-6364	137	12	a	a	DET
ejpam-6364	137	13	difference	difference	NOUN
ejpam-6364	137	14	as	as	ADP
ejpam-6364	137	15	ds	ds	ADJ
ejpam-6364	137	16	dt	dt	NOUN
ejpam-6364	137	17	=	=	SYM
ejpam-6364	137	18	b−	b−	PROPN
ejpam-6364	137	19	ksi	ksi	NOUN
ejpam-6364	137	20	1	1	NUM
ejpam-6364	137	21	+	+	CCONJ
ejpam-6364	137	22	βi	βi	PROPN
ejpam-6364	137	23	−	−	NOUN
ejpam-6364	137	24	d0s	d0s	PROPN
ejpam-6364	137	25	.	.	PUNCT
ejpam-6364	138	1	(	(	PUNCT
ejpam-6364	138	2	13	13	NUM
ejpam-6364	138	3	)	)	PUNCT
ejpam-6364	138	4	by	by	ADP
ejpam-6364	138	5	using	use	VERB
ejpam-6364	138	6	the	the	DET
ejpam-6364	138	7	none	none	NOUN
ejpam-6364	138	8	-	-	PUNCT
ejpam-6364	138	9	standard	standard	ADJ
ejpam-6364	138	10	finite	finite	ADJ
ejpam-6364	138	11	difference	difference	NOUN
ejpam-6364	138	12	method	method	NOUN
ejpam-6364	138	13	,	,	PUNCT
ejpam-6364	138	14	we	we	PRON
ejpam-6364	138	15	decomposed	decompose	VERB
ejpam-6364	138	16	as	as	ADP
ejpam-6364	138	17	sj+1	sj+1	PRON
ejpam-6364	138	18	−	−	NUM
ejpam-6364	139	1	sj	sj	INTJ
ejpam-6364	139	2	h	h	NOUN
ejpam-6364	140	1	=	=	SYM
ejpam-6364	140	2	b−	b−	PROPN
ejpam-6364	140	3	ksjij	ksjij	VERB
ejpam-6364	140	4	1+βij	1+βij	PROPN
ejpam-6364	140	5	−	−	PROPN
ejpam-6364	140	6	d0sj	d0sj	PUNCT
ejpam-6364	140	7	,	,	PUNCT
ejpam-6364	140	8	(	(	PUNCT
ejpam-6364	140	9	14	14	NUM
ejpam-6364	140	10	)	)	PUNCT
ejpam-6364	140	11	r.	r.	PROPN
ejpam-6364	140	12	ud	ud	AUX
ejpam-6364	140	13	din	din	VERB
ejpam-6364	140	14	et	et	PROPN
ejpam-6364	140	15	al	al	PROPN
ejpam-6364	140	16	.	.	PUNCT
ejpam-6364	140	17	/	/	SYM
ejpam-6364	140	18	eur	eur	PROPN
ejpam-6364	140	19	.	.	PUNCT
ejpam-6364	141	1	j.	j.	PROPN
ejpam-6364	141	2	pure	pure	PROPN
ejpam-6364	141	3	appl	appl	PROPN
ejpam-6364	141	4	.	.	PROPN
ejpam-6364	141	5	math	math	PROPN
ejpam-6364	141	6	,	,	PUNCT
ejpam-6364	141	7	18	18	NUM
ejpam-6364	141	8	(	(	PUNCT
ejpam-6364	141	9	4	4	NUM
ejpam-6364	141	10	)	)	PUNCT
ejpam-6364	141	11	(	(	PUNCT
ejpam-6364	141	12	2025	2025	NUM
ejpam-6364	141	13	)	)	PUNCT
ejpam-6364	141	14	,	,	PUNCT
ejpam-6364	141	15	6364	6364	NUM
ejpam-6364	141	16	10	10	NUM
ejpam-6364	141	17	of	of	ADP
ejpam-6364	141	18	23	23	NUM
ejpam-6364	141	19	parameters	parameter	NOUN
ejpam-6364	141	20	numerical	numerical	ADJ
ejpam-6364	141	21	value	value	NOUN
ejpam-6364	141	22	s	s	VERB
ejpam-6364	141	23	10,12,14	10,12,14	NUM
ejpam-6364	141	24	i	i	NOUN
ejpam-6364	141	25	0.080000	0.080000	NUM
ejpam-6364	141	26	,	,	PUNCT
ejpam-6364	141	27	0.086000,0.07500	0.086000,0.07500	NUM
ejpam-6364	141	28	t	t	NOUN
ejpam-6364	141	29	0.00500	0.00500	NUM
ejpam-6364	141	30	,	,	PUNCT
ejpam-6364	141	31	0.00600,0.00700	0.00600,0.00700	NUM
ejpam-6364	141	32	r	r	NOUN
ejpam-6364	141	33	0.000200,0.000300,0.000400	0.000200,0.000300,0.000400	NUM
ejpam-6364	141	34	b	b	PROPN
ejpam-6364	141	35	0.004215	0.004215	NUM
ejpam-6364	141	36	k	k	NOUN
ejpam-6364	141	37	0.02	0.02	NUM
ejpam-6364	141	38	β	β	PROPN
ejpam-6364	141	39	0.0039	0.0039	NUM
ejpam-6364	141	40	α	α	PROPN
ejpam-6364	141	41	0.008	0.008	NUM
ejpam-6364	141	42	µ	µ	NUM
ejpam-6364	141	43	0.003	0.003	NUM
ejpam-6364	141	44	d0	d0	NOUN
ejpam-6364	141	45	0.01	0.01	NUM
ejpam-6364	141	46	r	r	NOUN
ejpam-6364	141	47	0.0038	0.0038	NUM
ejpam-6364	141	48	table	table	NOUN
ejpam-6364	141	49	3	3	NUM
ejpam-6364	141	50	:	:	PUNCT
ejpam-6364	141	51	the	the	DET
ejpam-6364	141	52	system	system	NOUN
ejpam-6364	141	53	’s	’s	PART
ejpam-6364	141	54	parameters	parameter	NOUN
ejpam-6364	141	55	are	be	AUX
ejpam-6364	141	56	explained	explain	VERB
ejpam-6364	141	57	and	and	CCONJ
ejpam-6364	141	58	given	give	VERB
ejpam-6364	141	59	,	,	PUNCT
ejpam-6364	141	60	along	along	ADP
ejpam-6364	141	61	with	with	ADP
ejpam-6364	141	62	their	their	PRON
ejpam-6364	141	63	approximated	approximate	VERB
ejpam-6364	141	64	real	real	ADJ
ejpam-6364	141	65	values	value	NOUN
ejpam-6364	141	66	(	(	PUNCT
ejpam-6364	141	67	1	1	NUM
ejpam-6364	141	68	)	)	PUNCT
ejpam-6364	141	69	.	.	PUNCT
ejpam-6364	142	1	time	time	NOUN
ejpam-6364	142	2	(	(	PUNCT
ejpam-6364	142	3	days	day	NOUN
ejpam-6364	142	4	)	)	PUNCT
ejpam-6364	142	5	0	0	NUM
ejpam-6364	142	6	50	50	NUM
ejpam-6364	142	7	100	100	NUM
ejpam-6364	142	8	150	150	NUM
ejpam-6364	142	9	200	200	NUM
ejpam-6364	142	10	250	250	NUM
ejpam-6364	142	11	s	s	NOUN
ejpam-6364	142	12	u	u	NOUN
ejpam-6364	142	13	s	s	PRON
ejpam-6364	142	14	c	c	NOUN
ejpam-6364	142	15	e	e	NOUN
ejpam-6364	142	16	p	p	X
ejpam-6364	142	17	ti	ti	PROPN
ejpam-6364	142	18	b	b	X
ejpam-6364	142	19	le	le	X
ejpam-6364	142	20	c	c	X
ejpam-6364	142	21	la	la	PROPN
ejpam-6364	142	22	s	s	PROPN
ejpam-6364	142	23	s	s	NOUN
ejpam-6364	142	24	0	0	NUM
ejpam-6364	142	25	2	2	NUM
ejpam-6364	142	26	4	4	NUM
ejpam-6364	142	27	6	6	NUM
ejpam-6364	142	28	8	8	NUM
ejpam-6364	142	29	10	10	NUM
ejpam-6364	142	30	12	12	NUM
ejpam-6364	142	31	14	14	NUM
ejpam-6364	142	32	region	region	NOUN
ejpam-6364	142	33	1	1	NUM
ejpam-6364	142	34	region	region	NOUN
ejpam-6364	142	35	2	2	NUM
ejpam-6364	142	36	region	region	NOUN
ejpam-6364	142	37	3	3	NUM
ejpam-6364	142	38	figure	figure	NOUN
ejpam-6364	142	39	4	4	NUM
ejpam-6364	142	40	:	:	PUNCT
ejpam-6364	142	41	numerical	numerical	ADJ
ejpam-6364	142	42	interpretation	interpretation	NOUN
ejpam-6364	142	43	of	of	ADP
ejpam-6364	142	44	susceptible	susceptible	ADJ
ejpam-6364	142	45	class	class	NOUN
ejpam-6364	142	46	of	of	ADP
ejpam-6364	142	47	the	the	DET
ejpam-6364	142	48	proposed	propose	VERB
ejpam-6364	142	49	model	model	NOUN
ejpam-6364	142	50	.	.	PUNCT
ejpam-6364	143	1	like	like	INTJ
ejpam-6364	143	2	(	(	PUNCT
ejpam-6364	143	3	14	14	NUM
ejpam-6364	143	4	)	)	PUNCT
ejpam-6364	143	5	,	,	PUNCT
ejpam-6364	143	6	we	we	PRON
ejpam-6364	143	7	decomposed	decompose	VERB
ejpam-6364	143	8	the	the	DET
ejpam-6364	143	9	system	system	NOUN
ejpam-6364	143	10	(	(	PUNCT
ejpam-6364	143	11	1	1	NUM
ejpam-6364	143	12	)	)	PUNCT
ejpam-6364	143	13	by	by	ADP
ejpam-6364	143	14	using	use	VERB
ejpam-6364	143	15	nsfd	nsfd	ADJ
ejpam-6364	143	16	method	method	NOUN
ejpam-6364	143	17	s(j+1	s(j+1	PUNCT
ejpam-6364	143	18	)	)	PUNCT
ejpam-6364	144	1	=	=	VERB
ejpam-6364	144	2	sj	sj	INTJ
ejpam-6364	144	3	+	+	NUM
ejpam-6364	144	4	h	h	PROPN
ejpam-6364	144	5	(	(	PUNCT
ejpam-6364	144	6	b−	b−	NOUN
ejpam-6364	144	7	ksjij	ksjij	VERB
ejpam-6364	144	8	1	1	NUM
ejpam-6364	145	1	+	+	CCONJ
ejpam-6364	145	2	βij	βij	NOUN
ejpam-6364	145	3	−	−	NOUN
ejpam-6364	145	4	d0sj	d0sj	PUNCT
ejpam-6364	145	5	)	)	PUNCT
ejpam-6364	145	6	,	,	PUNCT
ejpam-6364	145	7	i(j+1	i(j+1	X
ejpam-6364	145	8	)	)	PUNCT
ejpam-6364	145	9	=	=	PUNCT
ejpam-6364	146	1	ij	ij	NOUN
ejpam-6364	147	1	+	+	CCONJ
ejpam-6364	147	2	h	h	PROPN
ejpam-6364	147	3	(	(	PUNCT
ejpam-6364	147	4	ksjij	ksjij	NOUN
ejpam-6364	147	5	1	1	NUM
ejpam-6364	147	6	+	+	CCONJ
ejpam-6364	147	7	βij	βij	NOUN
ejpam-6364	147	8	−	−	NOUN
ejpam-6364	147	9	(	(	PUNCT
ejpam-6364	147	10	α+	α+	X
ejpam-6364	147	11	µ+	µ+	X
ejpam-6364	147	12	d0)ij	d0)ij	PROPN
ejpam-6364	147	13	)	)	PUNCT
ejpam-6364	147	14	,	,	PUNCT
ejpam-6364	147	15	t(j+1	t(j+1	PROPN
ejpam-6364	147	16	)	)	PUNCT
ejpam-6364	147	17	=	=	PUNCT
ejpam-6364	148	1	tj	tj	NOUN
ejpam-6364	148	2	+	+	NUM
ejpam-6364	148	3	h	h	NOUN
ejpam-6364	148	4	(	(	PUNCT
ejpam-6364	148	5	µij	µij	INTJ
ejpam-6364	148	6	−	−	PROPN
ejpam-6364	148	7	(	(	PUNCT
ejpam-6364	149	1	r	r	NOUN
ejpam-6364	149	2	+	+	CCONJ
ejpam-6364	149	3	d0)tj	d0)tj	NOUN
ejpam-6364	149	4	)	)	PUNCT
ejpam-6364	149	5	,	,	PUNCT
ejpam-6364	149	6	r(j+1	r(j+1	X
ejpam-6364	149	7	)	)	PUNCT
ejpam-6364	150	1	=	=	SYM
ejpam-6364	150	2	rj	rj	PROPN
ejpam-6364	150	3	+	+	NUM
ejpam-6364	150	4	h	h	PROPN
ejpam-6364	150	5	(	(	PUNCT
ejpam-6364	150	6	rtj	rtj	NOUN
ejpam-6364	150	7	+	+	NUM
ejpam-6364	150	8	αij	αij	NOUN
ejpam-6364	150	9	−	−	NOUN
ejpam-6364	150	10	d0rj	d0rj	NOUN
ejpam-6364	150	11	.	.	PUNCT
ejpam-6364	150	12	)	)	PUNCT
ejpam-6364	150	13	.	.	PUNCT
ejpam-6364	151	1	we	we	PRON
ejpam-6364	151	2	simulate	simulate	VERB
ejpam-6364	151	3	the	the	DET
ejpam-6364	151	4	system	system	NOUN
ejpam-6364	151	5	(	(	PUNCT
ejpam-6364	151	6	1	1	X
ejpam-6364	151	7	)	)	PUNCT
ejpam-6364	151	8	using	use	VERB
ejpam-6364	151	9	the	the	DET
ejpam-6364	151	10	nsfd	nsfd	ADJ
ejpam-6364	151	11	technique	technique	NOUN
ejpam-6364	151	12	and	and	CCONJ
ejpam-6364	151	13	the	the	DET
ejpam-6364	151	14	numerical	numerical	ADJ
ejpam-6364	151	15	values	value	NOUN
ejpam-6364	151	16	from	from	ADP
ejpam-6364	151	17	[	[	X
ejpam-6364	151	18	4	4	X
ejpam-6364	151	19	]	]	PUNCT
ejpam-6364	151	20	that	that	PRON
ejpam-6364	151	21	are	be	AUX
ejpam-6364	151	22	provided	provide	VERB
ejpam-6364	151	23	in	in	ADP
ejpam-6364	151	24	table	table	NOUN
ejpam-6364	151	25	3	3	NUM
ejpam-6364	151	26	.	.	PUNCT
ejpam-6364	151	27	here	here	ADV
ejpam-6364	151	28	in	in	ADP
ejpam-6364	151	29	figures	figure	NOUN
ejpam-6364	151	30	4	4	NUM
ejpam-6364	151	31	-	-	SYM
ejpam-6364	151	32	7	7	NUM
ejpam-6364	151	33	,	,	PUNCT
ejpam-6364	151	34	we	we	PRON
ejpam-6364	151	35	use	use	VERB
ejpam-6364	151	36	table	table	NOUN
ejpam-6364	151	37	3	3	NUM
ejpam-6364	151	38	’s	’s	NOUN
ejpam-6364	151	39	numerical	numerical	ADJ
ejpam-6364	151	40	values	value	NOUN
ejpam-6364	151	41	to	to	PART
ejpam-6364	151	42	simulate	simulate	VERB
ejpam-6364	151	43	the	the	DET
ejpam-6364	151	44	outcomes	outcome	NOUN
ejpam-6364	151	45	.	.	PUNCT
ejpam-6364	152	1	r.	r.	PROPN
ejpam-6364	152	2	ud	ud	AUX
ejpam-6364	152	3	din	din	VERB
ejpam-6364	152	4	et	et	PROPN
ejpam-6364	152	5	al	al	PROPN
ejpam-6364	152	6	.	.	PUNCT
ejpam-6364	152	7	/	/	SYM
ejpam-6364	152	8	eur	eur	PROPN
ejpam-6364	152	9	.	.	PUNCT
ejpam-6364	153	1	j.	j.	PROPN
ejpam-6364	153	2	pure	pure	PROPN
ejpam-6364	153	3	appl	appl	PROPN
ejpam-6364	153	4	.	.	PROPN
ejpam-6364	153	5	math	math	PROPN
ejpam-6364	153	6	,	,	PUNCT
ejpam-6364	153	7	18	18	NUM
ejpam-6364	153	8	(	(	PUNCT
ejpam-6364	153	9	4	4	NUM
ejpam-6364	153	10	)	)	PUNCT
ejpam-6364	153	11	(	(	PUNCT
ejpam-6364	153	12	2025	2025	NUM
ejpam-6364	153	13	)	)	PUNCT
ejpam-6364	153	14	,	,	PUNCT
ejpam-6364	153	15	6364	6364	NUM
ejpam-6364	153	16	11	11	NUM
ejpam-6364	153	17	of	of	ADP
ejpam-6364	153	18	23	23	NUM
ejpam-6364	153	19	time	time	NOUN
ejpam-6364	153	20	(	(	PUNCT
ejpam-6364	153	21	days	day	NOUN
ejpam-6364	153	22	)	)	PUNCT
ejpam-6364	153	23	0	0	NUM
ejpam-6364	154	1	50	50	NUM
ejpam-6364	154	2	100	100	NUM
ejpam-6364	154	3	150	150	NUM
ejpam-6364	154	4	200	200	NUM
ejpam-6364	154	5	250	250	NUM
ejpam-6364	154	6	in	in	ADP
ejpam-6364	154	7	fe	fe	X
ejpam-6364	154	8	c	c	X
ejpam-6364	154	9	te	te	PROPN
ejpam-6364	154	10	d	d	X
ejpam-6364	154	11	c	c	X
ejpam-6364	154	12	la	la	PROPN
ejpam-6364	154	13	s	s	PROPN
ejpam-6364	154	14	s	s	NOUN
ejpam-6364	154	15	0	0	NUM
ejpam-6364	154	16	1	1	NUM
ejpam-6364	154	17	2	2	NUM
ejpam-6364	154	18	3	3	NUM
ejpam-6364	154	19	4	4	NUM
ejpam-6364	154	20	5	5	NUM
ejpam-6364	154	21	6	6	NUM
ejpam-6364	154	22	7	7	NUM
ejpam-6364	154	23	8	8	NUM
ejpam-6364	154	24	9	9	NUM
ejpam-6364	154	25	region	region	NOUN
ejpam-6364	154	26	1	1	NUM
ejpam-6364	154	27	region	region	NOUN
ejpam-6364	154	28	2	2	NUM
ejpam-6364	154	29	region	region	NOUN
ejpam-6364	154	30	3	3	NUM
ejpam-6364	154	31	figure	figure	NOUN
ejpam-6364	154	32	5	5	NUM
ejpam-6364	154	33	:	:	PUNCT
ejpam-6364	154	34	numerical	numerical	ADJ
ejpam-6364	154	35	interpretation	interpretation	NOUN
ejpam-6364	154	36	of	of	ADP
ejpam-6364	154	37	infected	infected	ADJ
ejpam-6364	154	38	class	class	NOUN
ejpam-6364	154	39	of	of	ADP
ejpam-6364	154	40	the	the	DET
ejpam-6364	154	41	proposed	propose	VERB
ejpam-6364	154	42	model	model	NOUN
ejpam-6364	154	43	.	.	PUNCT
ejpam-6364	155	1	time	time	NOUN
ejpam-6364	155	2	(	(	PUNCT
ejpam-6364	155	3	days	day	NOUN
ejpam-6364	155	4	)	)	PUNCT
ejpam-6364	155	5	0	0	NUM
ejpam-6364	155	6	50	50	NUM
ejpam-6364	155	7	100	100	NUM
ejpam-6364	155	8	150	150	NUM
ejpam-6364	155	9	200	200	NUM
ejpam-6364	155	10	250	250	NUM
ejpam-6364	155	11	t	t	NOUN
ejpam-6364	155	12	re	re	PROPN
ejpam-6364	155	13	a	a	DET
ejpam-6364	155	14	tm	tm	NOUN
ejpam-6364	155	15	e	e	PROPN
ejpam-6364	155	16	n	n	NOUN
ejpam-6364	155	17	t	t	PROPN
ejpam-6364	155	18	c	c	X
ejpam-6364	155	19	la	la	PROPN
ejpam-6364	155	20	s	s	PROPN
ejpam-6364	155	21	s	s	NOUN
ejpam-6364	155	22	0	0	NUM
ejpam-6364	155	23	0.1	0.1	NUM
ejpam-6364	155	24	0.2	0.2	NUM
ejpam-6364	155	25	0.3	0.3	NUM
ejpam-6364	155	26	0.4	0.4	NUM
ejpam-6364	155	27	0.5	0.5	NUM
ejpam-6364	155	28	0.6	0.6	NUM
ejpam-6364	155	29	0.7	0.7	NUM
ejpam-6364	155	30	0.8	0.8	NUM
ejpam-6364	155	31	region	region	NOUN
ejpam-6364	155	32	1	1	NUM
ejpam-6364	155	33	region	region	NOUN
ejpam-6364	155	34	2	2	NUM
ejpam-6364	155	35	region	region	NOUN
ejpam-6364	155	36	3	3	NUM
ejpam-6364	155	37	figure	figure	NOUN
ejpam-6364	155	38	6	6	NUM
ejpam-6364	155	39	:	:	PUNCT
ejpam-6364	155	40	numerical	numerical	ADJ
ejpam-6364	155	41	interpretation	interpretation	NOUN
ejpam-6364	155	42	of	of	ADP
ejpam-6364	155	43	treatment	treatment	NOUN
ejpam-6364	155	44	class	class	NOUN
ejpam-6364	155	45	of	of	ADP
ejpam-6364	155	46	the	the	DET
ejpam-6364	155	47	proposed	propose	VERB
ejpam-6364	155	48	model	model	NOUN
ejpam-6364	155	49	6	6	NUM
ejpam-6364	155	50	.	.	PUNCT
ejpam-6364	156	1	the	the	DET
ejpam-6364	156	2	stochastic	stochastic	ADJ
ejpam-6364	156	3	form	form	NOUN
ejpam-6364	156	4	of	of	ADP
ejpam-6364	156	5	the	the	DET
ejpam-6364	156	6	model	model	NOUN
ejpam-6364	156	7	(	(	PUNCT
ejpam-6364	156	8	1	1	NUM
ejpam-6364	156	9	)	)	PUNCT
ejpam-6364	156	10	in	in	ADP
ejpam-6364	156	11	this	this	DET
ejpam-6364	156	12	section	section	NOUN
ejpam-6364	156	13	,	,	PUNCT
ejpam-6364	156	14	we	we	PRON
ejpam-6364	156	15	incorporate	incorporate	VERB
ejpam-6364	156	16	the	the	DET
ejpam-6364	156	17	effect	effect	NOUN
ejpam-6364	156	18	of	of	ADP
ejpam-6364	156	19	atmospheric	atmospheric	ADJ
ejpam-6364	156	20	white	white	ADJ
ejpam-6364	156	21	noise	noise	NOUN
ejpam-6364	156	22	by	by	ADP
ejpam-6364	156	23	transforming	transform	VERB
ejpam-6364	156	24	the	the	DET
ejpam-6364	156	25	original	original	ADJ
ejpam-6364	156	26	deterministic	deterministic	ADJ
ejpam-6364	156	27	eye	eye	NOUN
ejpam-6364	156	28	disease	disease	NOUN
ejpam-6364	156	29	system	system	NOUN
ejpam-6364	156	30	(	(	PUNCT
ejpam-6364	156	31	1	1	NUM
ejpam-6364	156	32	)	)	PUNCT
ejpam-6364	156	33	into	into	ADP
ejpam-6364	156	34	a	a	DET
ejpam-6364	156	35	stochastic	stochastic	ADJ
ejpam-6364	156	36	system	system	NOUN
ejpam-6364	156	37	,	,	PUNCT
ejpam-6364	156	38	as	as	SCONJ
ejpam-6364	156	39	described	describe	VERB
ejpam-6364	156	40	in	in	ADP
ejpam-6364	156	41	[	[	X
ejpam-6364	156	42	26	26	NUM
ejpam-6364	156	43	]	]	PUNCT
ejpam-6364	156	44	.	.	PUNCT
ejpam-6364	157	1	to	to	PART
ejpam-6364	157	2	achieve	achieve	VERB
ejpam-6364	157	3	this	this	PRON
ejpam-6364	157	4	,	,	PUNCT
ejpam-6364	157	5	nonlinear	nonlinear	ADJ
ejpam-6364	157	6	perturbations	perturbation	NOUN
ejpam-6364	157	7	are	be	AUX
ejpam-6364	157	8	introduced	introduce	VERB
ejpam-6364	157	9	into	into	ADP
ejpam-6364	157	10	each	each	DET
ejpam-6364	157	11	equation	equation	NOUN
ejpam-6364	157	12	of	of	ADP
ejpam-6364	157	13	the	the	DET
ejpam-6364	157	14	system	system	NOUN
ejpam-6364	157	15	.	.	PUNCT
ejpam-6364	158	1	specifically	specifically	ADV
ejpam-6364	158	2	,	,	PUNCT
ejpam-6364	158	3	the	the	DET
ejpam-6364	158	4	rate	rate	NOUN
ejpam-6364	158	5	of	of	ADP
ejpam-6364	158	6	change	change	NOUN
ejpam-6364	158	7	is	be	AUX
ejpam-6364	158	8	modified	modify	VERB
ejpam-6364	158	9	individually	individually	ADV
ejpam-6364	158	10	for	for	SCONJ
ejpam-6364	158	11	each	each	DET
ejpam-6364	158	12	compartment	compartment	NOUN
ejpam-6364	158	13	to	to	PART
ejpam-6364	158	14	reflect	reflect	VERB
ejpam-6364	158	15	the	the	DET
ejpam-6364	158	16	impact	impact	NOUN
ejpam-6364	158	17	of	of	ADP
ejpam-6364	158	18	stochastic	stochastic	ADJ
ejpam-6364	158	19	fluctuations	fluctuation	NOUN
ejpam-6364	158	20	within	within	ADP
ejpam-6364	158	21	that	that	DET
ejpam-6364	158	22	class	class	NOUN
ejpam-6364	158	23	.	.	PUNCT
ejpam-6364	159	1	s(t	s(t	PROPN
ejpam-6364	159	2	)	)	PUNCT
ejpam-6364	160	1	:	:	PUNCT
ejpam-6364	160	2	−β	−β	PROPN
ejpam-6364	160	3	−→	−→	PROPN
ejpam-6364	160	4	−β	−β	PROPN
ejpam-6364	160	5	+	+	CCONJ
ejpam-6364	160	6	(	(	PUNCT
ejpam-6364	160	7	φ11s	φ11s	X
ejpam-6364	160	8	+	+	ADJ
ejpam-6364	160	9	φ12)c1(t	φ12)c1(t	NOUN
ejpam-6364	160	10	)	)	PUNCT
ejpam-6364	160	11	,	,	PUNCT
ejpam-6364	160	12	i(t	i(t	PROPN
ejpam-6364	160	13	)	)	PUNCT
ejpam-6364	160	14	:	:	PUNCT
ejpam-6364	160	15	−µ	−µ	ADV
ejpam-6364	160	16	−→	−→	NOUN
ejpam-6364	160	17	−µ+	−µ+	NOUN
ejpam-6364	160	18	(	(	PUNCT
ejpam-6364	160	19	φ21s	φ21s	PRON
ejpam-6364	160	20	+	+	ADJ
ejpam-6364	160	21	φ22)c2(t	φ22)c2(t	NOUN
ejpam-6364	160	22	)	)	PUNCT
ejpam-6364	160	23	,	,	PUNCT
ejpam-6364	160	24	t	t	PROPN
ejpam-6364	160	25	(	(	PUNCT
ejpam-6364	160	26	t	t	PROPN
ejpam-6364	160	27	)	)	PUNCT
ejpam-6364	160	28	:	:	PUNCT
ejpam-6364	160	29	−r	−r	PROPN
ejpam-6364	160	30	−→	−→	PROPN
ejpam-6364	160	31	−r	−r	PROPN
ejpam-6364	160	32	+	+	X
ejpam-6364	160	33	(	(	PUNCT
ejpam-6364	160	34	φ31s	φ31s	PUNCT
ejpam-6364	160	35	+	+	NOUN
ejpam-6364	160	36	φ32)c3(t	φ32)c3(t	NOUN
ejpam-6364	160	37	)	)	PUNCT
ejpam-6364	160	38	,	,	PUNCT
ejpam-6364	160	39	r(t	r(t	NOUN
ejpam-6364	160	40	)	)	PUNCT
ejpam-6364	160	41	:	:	PUNCT
ejpam-6364	160	42	−d0	−d0	AUX
ejpam-6364	160	43	−→	−→	NOUN
ejpam-6364	160	44	−d0	−d0	PROPN
ejpam-6364	160	45	+	+	CCONJ
ejpam-6364	160	46	(	(	PUNCT
ejpam-6364	160	47	φ41s	φ41s	X
ejpam-6364	160	48	+	+	NOUN
ejpam-6364	160	49	φ42)c4(t	φ42)c4(t	NOUN
ejpam-6364	160	50	)	)	PUNCT
ejpam-6364	160	51	.	.	PUNCT
ejpam-6364	161	1	r.	r.	PROPN
ejpam-6364	161	2	ud	ud	AUX
ejpam-6364	161	3	din	din	VERB
ejpam-6364	161	4	et	et	PROPN
ejpam-6364	161	5	al	al	PROPN
ejpam-6364	161	6	.	.	PUNCT
ejpam-6364	161	7	/	/	SYM
ejpam-6364	161	8	eur	eur	PROPN
ejpam-6364	161	9	.	.	PUNCT
ejpam-6364	162	1	j.	j.	PROPN
ejpam-6364	162	2	pure	pure	PROPN
ejpam-6364	162	3	appl	appl	PROPN
ejpam-6364	162	4	.	.	PROPN
ejpam-6364	162	5	math	math	PROPN
ejpam-6364	162	6	,	,	PUNCT
ejpam-6364	162	7	18	18	NUM
ejpam-6364	162	8	(	(	PUNCT
ejpam-6364	162	9	4	4	NUM
ejpam-6364	162	10	)	)	PUNCT
ejpam-6364	162	11	(	(	PUNCT
ejpam-6364	162	12	2025	2025	NUM
ejpam-6364	162	13	)	)	PUNCT
ejpam-6364	162	14	,	,	PUNCT
ejpam-6364	162	15	6364	6364	NUM
ejpam-6364	162	16	12	12	NUM
ejpam-6364	162	17	of	of	ADP
ejpam-6364	162	18	23	23	NUM
ejpam-6364	162	19	time	time	NOUN
ejpam-6364	162	20	(	(	PUNCT
ejpam-6364	162	21	days	day	NOUN
ejpam-6364	162	22	)	)	PUNCT
ejpam-6364	162	23	0	0	NUM
ejpam-6364	163	1	50	50	NUM
ejpam-6364	163	2	100	100	NUM
ejpam-6364	163	3	150	150	NUM
ejpam-6364	163	4	200	200	NUM
ejpam-6364	163	5	250	250	NUM
ejpam-6364	163	6	r	r	NOUN
ejpam-6364	163	7	e	e	NOUN
ejpam-6364	163	8	c	c	NOUN
ejpam-6364	163	9	o	o	X
ejpam-6364	163	10	v	v	X
ejpam-6364	163	11	e	e	X
ejpam-6364	163	12	re	re	NOUN
ejpam-6364	163	13	d	d	PROPN
ejpam-6364	163	14	c	c	X
ejpam-6364	163	15	la	la	PROPN
ejpam-6364	163	16	s	s	PROPN
ejpam-6364	163	17	s	s	NOUN
ejpam-6364	163	18	0	0	NUM
ejpam-6364	163	19	0.5	0.5	NUM
ejpam-6364	163	20	1	1	NUM
ejpam-6364	163	21	1.5	1.5	NUM
ejpam-6364	163	22	2	2	NUM
ejpam-6364	163	23	2.5	2.5	NUM
ejpam-6364	163	24	region	region	NOUN
ejpam-6364	163	25	1	1	NUM
ejpam-6364	163	26	region	region	NOUN
ejpam-6364	163	27	2	2	NUM
ejpam-6364	163	28	region	region	NOUN
ejpam-6364	163	29	3	3	NUM
ejpam-6364	163	30	figure	figure	NOUN
ejpam-6364	163	31	7	7	NUM
ejpam-6364	163	32	:	:	PUNCT
ejpam-6364	163	33	numerical	numerical	ADJ
ejpam-6364	163	34	interpretation	interpretation	NOUN
ejpam-6364	163	35	of	of	ADP
ejpam-6364	163	36	recovered	recovered	ADJ
ejpam-6364	163	37	class	class	NOUN
ejpam-6364	163	38	of	of	ADP
ejpam-6364	163	39	the	the	DET
ejpam-6364	163	40	proposed	propose	VERB
ejpam-6364	163	41	model	model	NOUN
ejpam-6364	163	42	the	the	DET
ejpam-6364	163	43	following	follow	VERB
ejpam-6364	163	44	set	set	NOUN
ejpam-6364	163	45	of	of	ADP
ejpam-6364	163	46	equations	equation	NOUN
ejpam-6364	163	47	represents	represent	VERB
ejpam-6364	163	48	the	the	DET
ejpam-6364	163	49	stochastic	stochastic	ADJ
ejpam-6364	163	50	form	form	NOUN
ejpam-6364	163	51	of	of	ADP
ejpam-6364	163	52	system	system	NOUN
ejpam-6364	163	53	(	(	PUNCT
ejpam-6364	163	54	1	1	NUM
ejpam-6364	163	55	):	):	PUNCT
ejpam-6364	163	56	ds	ds	ADJ
ejpam-6364	163	57	=	=	SYM
ejpam-6364	163	58	[	[	X
ejpam-6364	163	59	b−	b−	NOUN
ejpam-6364	163	60	ksi	ksi	PROPN
ejpam-6364	163	61	1+βi	1+βi	NUM
ejpam-6364	163	62	−	−	PROPN
ejpam-6364	164	1	d0s]dt+	d0s]dt+	NOUN
ejpam-6364	164	2	(	(	PUNCT
ejpam-6364	164	3	φ11s	φ11s	VERB
ejpam-6364	164	4	+	+	ADJ
ejpam-6364	164	5	φ12)s	φ12)s	ADJ
ejpam-6364	164	6	dc1(t	dc1(t	NOUN
ejpam-6364	164	7	)	)	PUNCT
ejpam-6364	164	8	,	,	PUNCT
ejpam-6364	164	9	di	di	NOUN
ejpam-6364	164	10	=	=	PUNCT
ejpam-6364	164	11	[	[	PUNCT
ejpam-6364	164	12	ksi	ksi	PROPN
ejpam-6364	164	13	1+βi	1+βi	NUM
ejpam-6364	164	14	−	−	PROPN
ejpam-6364	164	15	(	(	PUNCT
ejpam-6364	164	16	α+	α+	X
ejpam-6364	164	17	µ+	µ+	X
ejpam-6364	164	18	d0)i]dt+	d0)i]dt+	NOUN
ejpam-6364	164	19	(	(	PUNCT
ejpam-6364	164	20	φ21i	φ21i	PROPN
ejpam-6364	164	21	+	+	ADP
ejpam-6364	164	22	φ22)i	φ22)i	PROPN
ejpam-6364	164	23	dc2(t	dc2(t	PROPN
ejpam-6364	164	24	)	)	PUNCT
ejpam-6364	164	25	,	,	PUNCT
ejpam-6364	164	26	dt	dt	PUNCT
ejpam-6364	165	1	=	=	PUNCT
ejpam-6364	166	1	[	[	X
ejpam-6364	166	2	µi	µi	INTJ
ejpam-6364	166	3	−	−	PROPN
ejpam-6364	166	4	(	(	PUNCT
ejpam-6364	166	5	r	r	NOUN
ejpam-6364	166	6	+	+	X
ejpam-6364	166	7	d0)t	d0)t	ADJ
ejpam-6364	166	8	]	]	PUNCT
ejpam-6364	166	9	dt+	dt+	NOUN
ejpam-6364	166	10	(	(	PUNCT
ejpam-6364	166	11	φ31	φ31	NOUN
ejpam-6364	166	12	t	t	PROPN
ejpam-6364	166	13	+	+	PROPN
ejpam-6364	166	14	φ32)t	φ32)t	PROPN
ejpam-6364	166	15	dc3(t	dc3(t	VERB
ejpam-6364	166	16	)	)	PUNCT
ejpam-6364	166	17	,	,	PUNCT
ejpam-6364	166	18	dr	dr	PROPN
ejpam-6364	166	19	=	=	PROPN
ejpam-6364	167	1	[	[	X
ejpam-6364	167	2	rt	rt	X
ejpam-6364	167	3	+	+	X
ejpam-6364	167	4	αi	αi	VERB
ejpam-6364	167	5	−	−	PROPN
ejpam-6364	167	6	d0r]dt+	d0r]dt+	PROPN
ejpam-6364	167	7	(	(	PUNCT
ejpam-6364	167	8	φ41r+φ42)r	φ41r+φ42)r	X
ejpam-6364	167	9	dc4(t	dc4(t	PROPN
ejpam-6364	167	10	)	)	PUNCT
ejpam-6364	167	11	.	.	PUNCT
ejpam-6364	168	1	(	(	PUNCT
ejpam-6364	168	2	15	15	NUM
ejpam-6364	168	3	)	)	PUNCT
ejpam-6364	168	4	6.1	6.1	NUM
ejpam-6364	168	5	.	.	PUNCT
ejpam-6364	169	1	existence	existence	NOUN
ejpam-6364	169	2	and	and	CCONJ
ejpam-6364	169	3	uniqueness	uniqueness	NOUN
ejpam-6364	169	4	of	of	ADP
ejpam-6364	169	5	solutions	solution	NOUN
ejpam-6364	169	6	of	of	ADP
ejpam-6364	169	7	(	(	PUNCT
ejpam-6364	169	8	15	15	NUM
ejpam-6364	169	9	)	)	PUNCT
ejpam-6364	169	10	here	here	ADV
ejpam-6364	169	11	,	,	PUNCT
ejpam-6364	169	12	we	we	PRON
ejpam-6364	169	13	examine	examine	VERB
ejpam-6364	169	14	and	and	CCONJ
ejpam-6364	169	15	demonstrate	demonstrate	VERB
ejpam-6364	169	16	the	the	DET
ejpam-6364	169	17	existence	existence	NOUN
ejpam-6364	169	18	and	and	CCONJ
ejpam-6364	169	19	uniqueness	uniqueness	NOUN
ejpam-6364	169	20	of	of	ADP
ejpam-6364	169	21	the	the	DET
ejpam-6364	169	22	solutions	solution	NOUN
ejpam-6364	169	23	for	for	ADP
ejpam-6364	169	24	the	the	DET
ejpam-6364	169	25	stochastic	stochastic	ADJ
ejpam-6364	169	26	model	model	NOUN
ejpam-6364	169	27	(	(	PUNCT
ejpam-6364	169	28	15	15	NUM
ejpam-6364	169	29	)	)	PUNCT
ejpam-6364	169	30	.	.	PUNCT
ejpam-6364	170	1	first	first	ADV
ejpam-6364	170	2	,	,	PUNCT
ejpam-6364	170	3	we	we	PRON
ejpam-6364	170	4	established	establish	VERB
ejpam-6364	170	5	ds	ds	ADJ
ejpam-6364	170	6	=	=	SYM
ejpam-6364	170	7	m1(t	m1(t	PROPN
ejpam-6364	170	8	,	,	PUNCT
ejpam-6364	170	9	s	s	X
ejpam-6364	170	10	,	,	PUNCT
ejpam-6364	170	11	i	i	PRON
ejpam-6364	170	12	,	,	PUNCT
ejpam-6364	170	13	t	t	PROPN
ejpam-6364	170	14	,	,	PUNCT
ejpam-6364	170	15	r)dt+n1(t	r)dt+n1(t	PROPN
ejpam-6364	170	16	,	,	PUNCT
ejpam-6364	170	17	s)dc1	s)dc1	PROPN
ejpam-6364	170	18	t	t	PROPN
ejpam-6364	170	19	,	,	PUNCT
ejpam-6364	170	20	di	di	X
ejpam-6364	170	21	=	=	SYM
ejpam-6364	170	22	m2(t	m2(t	PROPN
ejpam-6364	170	23	,	,	PUNCT
ejpam-6364	170	24	s	s	PART
ejpam-6364	170	25	,	,	PUNCT
ejpam-6364	170	26	i	i	PRON
ejpam-6364	170	27	,	,	PUNCT
ejpam-6364	170	28	t	t	PROPN
ejpam-6364	170	29	,	,	PUNCT
ejpam-6364	170	30	r)dt+n2(t	r)dt+n2(t	NOUN
ejpam-6364	170	31	,	,	PUNCT
ejpam-6364	170	32	s)dc2	s)dc2	PROPN
ejpam-6364	170	33	t	t	PROPN
ejpam-6364	170	34	,	,	PUNCT
ejpam-6364	170	35	dt	dt	PROPN
ejpam-6364	170	36	=	=	SYM
ejpam-6364	170	37	m3(t	m3(t	PROPN
ejpam-6364	170	38	,	,	PUNCT
ejpam-6364	170	39	s	s	PROPN
ejpam-6364	170	40	,	,	PUNCT
ejpam-6364	170	41	i	i	PRON
ejpam-6364	170	42	,	,	PUNCT
ejpam-6364	170	43	t	t	PROPN
ejpam-6364	170	44	,	,	PUNCT
ejpam-6364	170	45	r)dt+n3(t	r)dt+n3(t	PROPN
ejpam-6364	170	46	,	,	PUNCT
ejpam-6364	170	47	s)dc3	s)dc3	PROPN
ejpam-6364	170	48	t	t	PROPN
ejpam-6364	170	49	,	,	PUNCT
ejpam-6364	170	50	dr	dr	PROPN
ejpam-6364	170	51	=	=	PROPN
ejpam-6364	170	52	m4(t	m4(t	PROPN
ejpam-6364	170	53	,	,	PUNCT
ejpam-6364	170	54	s	s	PART
ejpam-6364	170	55	,	,	PUNCT
ejpam-6364	170	56	i	i	PRON
ejpam-6364	170	57	,	,	PUNCT
ejpam-6364	170	58	t	t	PROPN
ejpam-6364	170	59	,	,	PUNCT
ejpam-6364	170	60	r)dt+n4(t	r)dt+n4(t	NOUN
ejpam-6364	170	61	,	,	PUNCT
ejpam-6364	170	62	s)dc4	s)dc4	PROPN
ejpam-6364	170	63	t	t	PROPN
ejpam-6364	170	64	,	,	PUNCT
ejpam-6364	170	65	secondly	secondly	ADV
ejpam-6364	170	66	,	,	PUNCT
ejpam-6364	170	67	transfer	transfer	NOUN
ejpam-6364	170	68	system	system	NOUN
ejpam-6364	170	69	(	(	PUNCT
ejpam-6364	170	70	15	15	NUM
ejpam-6364	170	71	)	)	PUNCT
ejpam-6364	170	72	into	into	ADP
ejpam-6364	170	73	a	a	DET
ejpam-6364	170	74	volterra	volterra	NOUN
ejpam-6364	170	75	integral	integral	ADJ
ejpam-6364	170	76	form	form	NOUN
ejpam-6364	170	77	,	,	PUNCT
ejpam-6364	170	78	as	as	SCONJ
ejpam-6364	170	79	given	give	VERB
ejpam-6364	170	80	;	;	PUNCT
ejpam-6364	170	81	s(t	s(t	NUM
ejpam-6364	170	82	)	)	PUNCT
ejpam-6364	170	83	=	=	SYM
ejpam-6364	170	84	s(0	s(0	PROPN
ejpam-6364	170	85	)	)	PUNCT
ejpam-6364	171	1	+	+	NUM
ejpam-6364	171	2	∫	∫	PROPN
ejpam-6364	171	3	t	t	NOUN
ejpam-6364	171	4	0	0	NUM
ejpam-6364	171	5	m1(χ	m1(χ	PROPN
ejpam-6364	171	6	,	,	PUNCT
ejpam-6364	171	7	s	s	PART
ejpam-6364	171	8	,	,	PUNCT
ejpam-6364	171	9	i	i	PRON
ejpam-6364	171	10	,	,	PUNCT
ejpam-6364	171	11	t	t	PROPN
ejpam-6364	171	12	,	,	PUNCT
ejpam-6364	171	13	r)dχ+	r)dχ+	VERB
ejpam-6364	171	14	∫	∫	PROPN
ejpam-6364	171	15	t	t	PROPN
ejpam-6364	171	16	0	0	NUM
ejpam-6364	171	17	n1(χ	n1(χ	PROPN
ejpam-6364	171	18	,	,	PUNCT
ejpam-6364	171	19	s)dc1(χ	s)dc1(χ	PROPN
ejpam-6364	171	20	)	)	PUNCT
ejpam-6364	171	21	,	,	PUNCT
ejpam-6364	171	22	i(t	i(t	PROPN
ejpam-6364	171	23	)	)	PUNCT
ejpam-6364	171	24	=	=	SYM
ejpam-6364	171	25	i(0	i(0	PROPN
ejpam-6364	171	26	)	)	PUNCT
ejpam-6364	172	1	+	+	CCONJ
ejpam-6364	172	2	∫	∫	PROPN
ejpam-6364	172	3	t	t	NOUN
ejpam-6364	172	4	0	0	NUM
ejpam-6364	172	5	m2(χ	m2(χ	PROPN
ejpam-6364	172	6	,	,	PUNCT
ejpam-6364	172	7	s	s	PROPN
ejpam-6364	172	8	,	,	PUNCT
ejpam-6364	172	9	i	i	PRON
ejpam-6364	172	10	,	,	PUNCT
ejpam-6364	172	11	t	t	PROPN
ejpam-6364	172	12	,	,	PUNCT
ejpam-6364	172	13	r)dχ+	r)dχ+	VERB
ejpam-6364	172	14	∫	∫	PROPN
ejpam-6364	172	15	t	t	PROPN
ejpam-6364	172	16	0	0	NUM
ejpam-6364	172	17	n2(χ	n2(χ	PROPN
ejpam-6364	172	18	,	,	PUNCT
ejpam-6364	172	19	e)dc2(χ	e)dc2(χ	PROPN
ejpam-6364	172	20	)	)	PUNCT
ejpam-6364	172	21	,	,	PUNCT
ejpam-6364	172	22	t	t	PROPN
ejpam-6364	172	23	(	(	PUNCT
ejpam-6364	172	24	t	t	PROPN
ejpam-6364	172	25	)	)	PUNCT
ejpam-6364	172	26	=	=	SYM
ejpam-6364	172	27	t	t	PROPN
ejpam-6364	172	28	(	(	PUNCT
ejpam-6364	172	29	0	0	NUM
ejpam-6364	172	30	)	)	PUNCT
ejpam-6364	172	31	+	+	CCONJ
ejpam-6364	173	1	∫	∫	PROPN
ejpam-6364	173	2	t	t	NOUN
ejpam-6364	173	3	0	0	X
ejpam-6364	174	1	m3(χ	m3(χ	PROPN
ejpam-6364	174	2	,	,	PUNCT
ejpam-6364	174	3	s	s	PART
ejpam-6364	174	4	,	,	PUNCT
ejpam-6364	174	5	i	i	PRON
ejpam-6364	174	6	,	,	PUNCT
ejpam-6364	174	7	t	t	PROPN
ejpam-6364	174	8	,	,	PUNCT
ejpam-6364	174	9	r)dχ+	r)dχ+	VERB
ejpam-6364	174	10	∫	∫	PROPN
ejpam-6364	174	11	t	t	PROPN
ejpam-6364	174	12	0	0	NUM
ejpam-6364	174	13	n3(χ	n3(χ	PROPN
ejpam-6364	174	14	,	,	PUNCT
ejpam-6364	174	15	i)dc3(χ	i)dc3(χ	PROPN
ejpam-6364	174	16	)	)	PUNCT
ejpam-6364	174	17	,	,	PUNCT
ejpam-6364	174	18	r(t	r(t	NOUN
ejpam-6364	174	19	)	)	PUNCT
ejpam-6364	174	20	=	=	SYM
ejpam-6364	174	21	r(0	r(0	PROPN
ejpam-6364	174	22	)	)	PUNCT
ejpam-6364	175	1	+	+	CCONJ
ejpam-6364	175	2	∫	∫	PROPN
ejpam-6364	175	3	t	t	PROPN
ejpam-6364	175	4	0	0	NUM
ejpam-6364	175	5	m4(χ	m4(χ	PROPN
ejpam-6364	175	6	,	,	PUNCT
ejpam-6364	175	7	s	s	X
ejpam-6364	175	8	,	,	PUNCT
ejpam-6364	175	9	i	i	PRON
ejpam-6364	175	10	,	,	PUNCT
ejpam-6364	175	11	t	t	PROPN
ejpam-6364	175	12	,	,	PUNCT
ejpam-6364	175	13	r)dχ+	r)dχ+	VERB
ejpam-6364	175	14	∫	∫	PROPN
ejpam-6364	175	15	t	t	PROPN
ejpam-6364	175	16	0	0	NUM
ejpam-6364	175	17	n4(χ	n4(χ	PROPN
ejpam-6364	175	18	,	,	PUNCT
ejpam-6364	175	19	r)dc4(χ	r)dc4(χ	PROPN
ejpam-6364	175	20	)	)	PUNCT
ejpam-6364	175	21	.	.	PUNCT
ejpam-6364	176	1	(	(	PUNCT
ejpam-6364	176	2	16	16	X
ejpam-6364	176	3	)	)	PUNCT
ejpam-6364	176	4	r.	r.	PROPN
ejpam-6364	176	5	ud	ud	AUX
ejpam-6364	176	6	din	din	VERB
ejpam-6364	176	7	et	et	PROPN
ejpam-6364	176	8	al	al	PROPN
ejpam-6364	176	9	.	.	PUNCT
ejpam-6364	176	10	/	/	SYM
ejpam-6364	176	11	eur	eur	PROPN
ejpam-6364	176	12	.	.	PUNCT
ejpam-6364	177	1	j.	j.	PROPN
ejpam-6364	177	2	pure	pure	PROPN
ejpam-6364	177	3	appl	appl	PROPN
ejpam-6364	177	4	.	.	PROPN
ejpam-6364	177	5	math	math	PROPN
ejpam-6364	177	6	,	,	PUNCT
ejpam-6364	177	7	18	18	NUM
ejpam-6364	177	8	(	(	PUNCT
ejpam-6364	177	9	4	4	NUM
ejpam-6364	177	10	)	)	PUNCT
ejpam-6364	177	11	(	(	PUNCT
ejpam-6364	177	12	2025	2025	NUM
ejpam-6364	177	13	)	)	PUNCT
ejpam-6364	177	14	,	,	PUNCT
ejpam-6364	177	15	6364	6364	NUM
ejpam-6364	177	16	13	13	NUM
ejpam-6364	177	17	of	of	ADP
ejpam-6364	177	18	23	23	NUM
ejpam-6364	177	19	to	to	PART
ejpam-6364	177	20	show	show	VERB
ejpam-6364	177	21	the	the	DET
ejpam-6364	177	22	existence	existence	NOUN
ejpam-6364	177	23	and	and	CCONJ
ejpam-6364	177	24	uniqueness	uniqueness	NOUN
ejpam-6364	177	25	of	of	ADP
ejpam-6364	177	26	the	the	DET
ejpam-6364	177	27	solutions	solution	NOUN
ejpam-6364	177	28	to	to	ADP
ejpam-6364	177	29	the	the	DET
ejpam-6364	177	30	eye	eye	NOUN
ejpam-6364	177	31	infection	infection	NOUN
ejpam-6364	177	32	model	model	NOUN
ejpam-6364	177	33	,	,	PUNCT
ejpam-6364	177	34	we	we	PRON
ejpam-6364	177	35	use	use	VERB
ejpam-6364	177	36	the	the	DET
ejpam-6364	177	37	following	follow	VERB
ejpam-6364	177	38	theorem	theorem	VERB
ejpam-6364	177	39	.	.	PUNCT
ejpam-6364	177	40	theorem	theorem	PROPN
ejpam-6364	177	41	2	2	PROPN
ejpam-6364	177	42	.	.	PUNCT
ejpam-6364	177	43	suppose	suppose	VERB
ejpam-6364	177	44	,	,	PUNCT
ejpam-6364	177	45	there	there	PRON
ejpam-6364	177	46	exist	exist	VERB
ejpam-6364	177	47	ki	ki	PROPN
ejpam-6364	177	48	,	,	PUNCT
ejpam-6364	177	49	k̂i	k̂i	X
ejpam-6364	177	50	so	so	SCONJ
ejpam-6364	177	51	that	that	SCONJ
ejpam-6364	177	52	there	there	PRON
ejpam-6364	177	53	are	be	VERB
ejpam-6364	177	54	the	the	DET
ejpam-6364	177	55	following	follow	VERB
ejpam-6364	177	56	necessary	necessary	ADJ
ejpam-6364	177	57	conditions	condition	NOUN
ejpam-6364	177	58	:	:	PUNCT
ejpam-6364	177	59	(	(	PUNCT
ejpam-6364	177	60	i	i	NOUN
ejpam-6364	177	61	)	)	PUNCT
ejpam-6364	177	62	|mi(y	|mi(y	PROPN
ejpam-6364	177	63	,	,	PUNCT
ejpam-6364	177	64	t)−mi(yi	t)−mi(yi	PROPN
ejpam-6364	177	65	,	,	PUNCT
ejpam-6364	177	66	t)|2	t)|2	NOUN
ejpam-6364	177	67	<	<	X
ejpam-6364	177	68	ki|y	ki|y	X
ejpam-6364	177	69	−	−	X
ejpam-6364	177	70	yi|2	yi|2	PROPN
ejpam-6364	177	71	,	,	PUNCT
ejpam-6364	177	72	|ni(y	|ni(y	X
ejpam-6364	177	73	,	,	PUNCT
ejpam-6364	177	74	t)−ni(yi	t)−ni(yi	PROPN
ejpam-6364	177	75	,	,	PUNCT
ejpam-6364	177	76	t)|2	t)|2	NOUN
ejpam-6364	177	77	<	<	X
ejpam-6364	177	78	k̂i|y	k̂i|y	PROPN
ejpam-6364	177	79	−	−	PROPN
ejpam-6364	177	80	yi|2	yi|2	PROPN
ejpam-6364	177	81	,	,	PUNCT
ejpam-6364	177	82	(	(	PUNCT
ejpam-6364	177	83	ii	ii	NOUN
ejpam-6364	177	84	)	)	PUNCT
ejpam-6364	177	85	∀(y	∀(y	NUM
ejpam-6364	177	86	,	,	PUNCT
ejpam-6364	177	87	t	t	NOUN
ejpam-6364	177	88	)	)	PUNCT
ejpam-6364	177	89	∈	∈	PROPN
ejpam-6364	177	90	r4	r4	NOUN
ejpam-6364	177	91	×	×	NOUN
ejpam-6364	178	1	[	[	X
ejpam-6364	178	2	0	0	NUM
ejpam-6364	178	3	,	,	PUNCT
ejpam-6364	178	4	t	t	X
ejpam-6364	178	5	]	]	PUNCT
ejpam-6364	178	6	,	,	PUNCT
ejpam-6364	178	7	then	then	ADV
ejpam-6364	178	8	|mi(y	|mi(y	NOUN
ejpam-6364	178	9	,	,	PUNCT
ejpam-6364	178	10	t)|2	t)|2	X
ejpam-6364	178	11	,	,	PUNCT
ejpam-6364	178	12	|ni(y	|ni(y	PROPN
ejpam-6364	178	13	,	,	PUNCT
ejpam-6364	178	14	t)|2	t)|2	ADJ
ejpam-6364	178	15	<	<	X
ejpam-6364	178	16	k(|y|2	k(|y|2	NOUN
ejpam-6364	178	17	+	+	ADJ
ejpam-6364	178	18	1	1	NUM
ejpam-6364	178	19	)	)	PUNCT
ejpam-6364	178	20	,	,	PUNCT
ejpam-6364	178	21	hold	hold	VERB
ejpam-6364	178	22	for	for	ADP
ejpam-6364	178	23	i	i	PRON
ejpam-6364	178	24	=	=	NOUN
ejpam-6364	178	25	1	1	NUM
ejpam-6364	178	26	,	,	PUNCT
ejpam-6364	178	27	·	·	PUNCT
ejpam-6364	178	28	·	·	PUNCT
ejpam-6364	178	29	·	·	PUNCT
ejpam-6364	178	30	,	,	PUNCT
ejpam-6364	178	31	4	4	X
ejpam-6364	178	32	.	.	X
ejpam-6364	178	33	we	we	PRON
ejpam-6364	178	34	confirm	confirm	VERB
ejpam-6364	178	35	that	that	SCONJ
ejpam-6364	178	36	our	our	PRON
ejpam-6364	178	37	model	model	NOUN
ejpam-6364	178	38	satisfies	satisfie	NOUN
ejpam-6364	178	39	criteria	criterion	NOUN
ejpam-6364	178	40	(	(	PUNCT
ejpam-6364	178	41	i	i	NOUN
ejpam-6364	178	42	)	)	PUNCT
ejpam-6364	178	43	and	and	CCONJ
ejpam-6364	178	44	(	(	PUNCT
ejpam-6364	178	45	ii	ii	NOUN
ejpam-6364	178	46	)	)	PUNCT
ejpam-6364	178	47	in	in	ADP
ejpam-6364	178	48	the	the	DET
ejpam-6364	178	49	hypothesis	hypothesis	NOUN
ejpam-6364	178	50	.	.	PUNCT
ejpam-6364	179	1	for	for	ADP
ejpam-6364	179	2	the	the	DET
ejpam-6364	179	3	susceptible	susceptible	ADJ
ejpam-6364	179	4	population	population	NOUN
ejpam-6364	179	5	,	,	PUNCT
ejpam-6364	179	6	we	we	PRON
ejpam-6364	179	7	first	first	ADV
ejpam-6364	179	8	examine	examine	VERB
ejpam-6364	179	9	the	the	DET
ejpam-6364	179	10	functions	function	NOUN
ejpam-6364	179	11	m1(t	m1(t	PROPN
ejpam-6364	179	12	,	,	PUNCT
ejpam-6364	179	13	s	s	PART
ejpam-6364	179	14	,	,	PUNCT
ejpam-6364	179	15	i	i	PRON
ejpam-6364	179	16	,	,	PUNCT
ejpam-6364	179	17	t	t	PROPN
ejpam-6364	179	18	,	,	PUNCT
ejpam-6364	179	19	r	r	NOUN
ejpam-6364	179	20	)	)	PUNCT
ejpam-6364	179	21	and	and	CCONJ
ejpam-6364	179	22	n1(t	n1(t	PROPN
ejpam-6364	179	23	,	,	PUNCT
ejpam-6364	179	24	s	s	NOUN
ejpam-6364	179	25	)	)	PUNCT
ejpam-6364	179	26	.	.	PUNCT
ejpam-6364	180	1	we	we	PRON
ejpam-6364	180	2	demonstrate	demonstrate	VERB
ejpam-6364	180	3	the	the	DET
ejpam-6364	180	4	function	function	NOUN
ejpam-6364	180	5	m	m	VERB
ejpam-6364	180	6	’s	’s	PART
ejpam-6364	180	7	proof	proof	NOUN
ejpam-6364	180	8	using	use	VERB
ejpam-6364	180	9	m(t	m(t	PROPN
ejpam-6364	180	10	,	,	PUNCT
ejpam-6364	180	11	s	s	NOUN
ejpam-6364	180	12	)	)	PUNCT
ejpam-6364	180	13	.	.	PUNCT
ejpam-6364	181	1	proof	proof	NOUN
ejpam-6364	181	2	.	.	PUNCT
ejpam-6364	182	1	first	first	ADV
ejpam-6364	182	2	,	,	PUNCT
ejpam-6364	182	3	we	we	PRON
ejpam-6364	182	4	look	look	VERB
ejpam-6364	182	5	into	into	ADP
ejpam-6364	182	6	the	the	DET
ejpam-6364	182	7	functions	function	NOUN
ejpam-6364	182	8	for	for	ADP
ejpam-6364	182	9	the	the	DET
ejpam-6364	182	10	susceptible	susceptible	ADJ
ejpam-6364	182	11	population	population	NOUN
ejpam-6364	182	12	,	,	PUNCT
ejpam-6364	182	13	m1(t	m1(t	PROPN
ejpam-6364	182	14	,	,	PUNCT
ejpam-6364	182	15	s	s	PART
ejpam-6364	182	16	,	,	PUNCT
ejpam-6364	182	17	i	i	PRON
ejpam-6364	182	18	,	,	PUNCT
ejpam-6364	182	19	t	t	PROPN
ejpam-6364	182	20	,	,	PUNCT
ejpam-6364	182	21	r	r	NOUN
ejpam-6364	182	22	)	)	PUNCT
ejpam-6364	182	23	and	and	CCONJ
ejpam-6364	182	24	n1(t	n1(t	PROPN
ejpam-6364	182	25	,	,	PUNCT
ejpam-6364	182	26	s	s	NOUN
ejpam-6364	182	27	)	)	PUNCT
ejpam-6364	182	28	.	.	PUNCT
ejpam-6364	183	1	using	use	VERB
ejpam-6364	183	2	m(t	m(t	PROPN
ejpam-6364	183	3	,	,	PUNCT
ejpam-6364	183	4	s	s	PART
ejpam-6364	183	5	)	)	PUNCT
ejpam-6364	183	6	,	,	PUNCT
ejpam-6364	183	7	we	we	PRON
ejpam-6364	183	8	demonstrate	demonstrate	VERB
ejpam-6364	183	9	the	the	DET
ejpam-6364	183	10	proof	proof	NOUN
ejpam-6364	183	11	for	for	ADP
ejpam-6364	183	12	the	the	DET
ejpam-6364	183	13	function	function	NOUN
ejpam-6364	183	14	m	m	NOUN
ejpam-6364	183	15	.	.	PUNCT
ejpam-6364	184	1	|m1(t	|m1(t	NOUN
ejpam-6364	184	2	,	,	PUNCT
ejpam-6364	184	3	s)−m1(t	s)−m1(t	ADV
ejpam-6364	184	4	,	,	PUNCT
ejpam-6364	184	5	s1)|2	s1)|2	X
ejpam-6364	184	6	=	=	SYM
ejpam-6364	184	7	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6364	184	8	(	(	PUNCT
ejpam-6364	184	9	ki	ki	PROPN
ejpam-6364	184	10	1	1	NUM
ejpam-6364	184	11	+	+	CCONJ
ejpam-6364	184	12	βi	βi	PROPN
ejpam-6364	184	13	+	+	NUM
ejpam-6364	184	14	d0	d0	NOUN
ejpam-6364	184	15	)	)	PUNCT
ejpam-6364	184	16	(	(	PUNCT
ejpam-6364	184	17	s	s	NOUN
ejpam-6364	184	18	−	−	PROPN
ejpam-6364	184	19	s1	s1	NOUN
ejpam-6364	184	20	)	)	PUNCT
ejpam-6364	184	21	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6364	184	22	.	.	PUNCT
ejpam-6364	185	1	(	(	PUNCT
ejpam-6364	185	2	17	17	NUM
ejpam-6364	185	3	)	)	PUNCT
ejpam-6364	185	4	applying	apply	VERB
ejpam-6364	185	5	the	the	DET
ejpam-6364	185	6	following	follow	VERB
ejpam-6364	185	7	norm	norm	NOUN
ejpam-6364	185	8	’s	’s	PART
ejpam-6364	185	9	definition	definition	NOUN
ejpam-6364	185	10	||χ||∞	||χ||∞	NOUN
ejpam-6364	185	11	=	=	SYM
ejpam-6364	185	12	sup	sup	NOUN
ejpam-6364	185	13	t∈[0,t	t∈[0,t	NOUN
ejpam-6364	185	14	]	]	PUNCT
ejpam-6364	185	15	|χ|2	|χ|2	ADJ
ejpam-6364	185	16	equation	equation	NOUN
ejpam-6364	185	17	(	(	PUNCT
ejpam-6364	185	18	17	17	NUM
ejpam-6364	185	19	)	)	PUNCT
ejpam-6364	185	20	is	be	AUX
ejpam-6364	185	21	convert	convert	VERB
ejpam-6364	185	22	to	to	ADP
ejpam-6364	185	23	|m1(t	|m1(t	PROPN
ejpam-6364	185	24	,	,	PUNCT
ejpam-6364	185	25	s)−m1(t	s)−m1(t	ADV
ejpam-6364	185	26	,	,	PUNCT
ejpam-6364	185	27	s1)|2	s1)|2	VERB
ejpam-6364	185	28	≤	≤	NUM
ejpam-6364	185	29	sup	sup	NOUN
ejpam-6364	185	30	t∈[0,t	t∈[0,t	NOUN
ejpam-6364	185	31	]	]	PUNCT
ejpam-6364	185	32	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6364	185	33	(	(	PUNCT
ejpam-6364	185	34	ki	ki	PROPN
ejpam-6364	185	35	1	1	NUM
ejpam-6364	185	36	+	+	CCONJ
ejpam-6364	185	37	βi	βi	PROPN
ejpam-6364	186	1	+	+	CCONJ
ejpam-6364	186	2	d0)(s	d0)(s	NOUN
ejpam-6364	186	3	−	−	PROPN
ejpam-6364	186	4	s1	s1	NOUN
ejpam-6364	186	5	)	)	PUNCT
ejpam-6364	186	6	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6364	186	7	,	,	PUNCT
ejpam-6364	186	8	≤	≤	ADJ
ejpam-6364	186	9	||	||	PROPN
ejpam-6364	187	1	(	(	PUNCT
ejpam-6364	187	2	ki	ki	PROPN
ejpam-6364	187	3	1+βi	1+βi	PROPN
ejpam-6364	188	1	+	+	CCONJ
ejpam-6364	189	1	d0)||2∞|(s	d0)||2∞|(s	PROPN
ejpam-6364	189	2	−	−	PROPN
ejpam-6364	189	3	s1)|2	s1)|2	NOUN
ejpam-6364	189	4	,	,	PUNCT
ejpam-6364	189	5	≤	≤	X
ejpam-6364	189	6	k1|(s	k1|(s	NOUN
ejpam-6364	189	7	−	−	NOUN
ejpam-6364	189	8	s1)|2	s1)|2	NOUN
ejpam-6364	189	9	,	,	PUNCT
ejpam-6364	189	10	and	and	CCONJ
ejpam-6364	189	11	|n1(s	|n1(s	PRON
ejpam-6364	189	12	,	,	PUNCT
ejpam-6364	189	13	t)−n1(s1	t)−n1(s1	NOUN
ejpam-6364	189	14	,	,	PUNCT
ejpam-6364	189	15	t)|2	t)|2	NOUN
ejpam-6364	189	16	=	=	PUNCT
ejpam-6364	189	17	|(φ11s	|(φ11s	PROPN
ejpam-6364	189	18	+	+	ADV
ejpam-6364	189	19	φ12)s	φ12)s	ADV
ejpam-6364	189	20	−	−	ADP
ejpam-6364	189	21	(	(	PUNCT
ejpam-6364	189	22	φ11s1	φ11s1	NOUN
ejpam-6364	189	23	+	+	ADJ
ejpam-6364	189	24	φ12)s1|2	φ12)s1|2	PROPN
ejpam-6364	189	25	,	,	PUNCT
ejpam-6364	189	26	≤	≤	ADJ
ejpam-6364	189	27	|(φ11(s2	|(φ11(s2	PROPN
ejpam-6364	189	28	−	−	PROPN
ejpam-6364	189	29	s2	s2	NOUN
ejpam-6364	189	30	1	1	NUM
ejpam-6364	189	31	)	)	PUNCT
ejpam-6364	189	32	−	−	PROPN
ejpam-6364	189	33	φ12(s	φ12(s	NOUN
ejpam-6364	189	34	−	−	NOUN
ejpam-6364	189	35	s1)|2	s1)|2	NOUN
ejpam-6364	189	36	,	,	PUNCT
ejpam-6364	189	37	≤	≤	NUM
ejpam-6364	189	38	(	(	PUNCT
ejpam-6364	189	39	φ11(s	φ11(	NOUN
ejpam-6364	189	40	+	+	NUM
ejpam-6364	189	41	s1	s1	NOUN
ejpam-6364	189	42	)	)	PUNCT
ejpam-6364	189	43	+	+	CCONJ
ejpam-6364	189	44	φ12	φ12	X
ejpam-6364	189	45	)	)	SYM
ejpam-6364	189	46	2	2	NUM
ejpam-6364	189	47	|s	|s	PROPN
ejpam-6364	189	48	−	−	PROPN
ejpam-6364	189	49	s1|2	s1|2	PROPN
ejpam-6364	189	50	,	,	PUNCT
ejpam-6364	189	51	≤	≤	NUM
ejpam-6364	189	52	(	(	PUNCT
ejpam-6364	189	53	φ2	φ2	PROPN
ejpam-6364	189	54	11(s	11(s	NUM
ejpam-6364	189	55	+	+	NUM
ejpam-6364	189	56	s1	s1	NOUN
ejpam-6364	189	57	)	)	PUNCT
ejpam-6364	189	58	2	2	NUM
ejpam-6364	189	59	+	+	CCONJ
ejpam-6364	189	60	2φ11φ12(s	2φ11φ12(s	NUM
ejpam-6364	189	61	+	+	CCONJ
ejpam-6364	189	62	s1	s1	NOUN
ejpam-6364	189	63	)	)	PUNCT
ejpam-6364	190	1	+	+	NUM
ejpam-6364	190	2	φ2	φ2	PROPN
ejpam-6364	190	3	12	12	NUM
ejpam-6364	190	4	)	)	PUNCT
ejpam-6364	190	5	|s	|s	PROPN
ejpam-6364	191	1	−	−	PROPN
ejpam-6364	191	2	s1|2	s1|2	PROPN
ejpam-6364	191	3	,	,	PUNCT
ejpam-6364	191	4	≤	≤	NUM
ejpam-6364	191	5	(	(	PUNCT
ejpam-6364	191	6	φ2	φ2	PROPN
ejpam-6364	191	7	11(s2	11(s2	NUM
ejpam-6364	191	8	+	+	CCONJ
ejpam-6364	191	9	2ss1	2ss1	NUM
ejpam-6364	191	10	+	+	CCONJ
ejpam-6364	191	11	s2	s2	NOUN
ejpam-6364	191	12	1	1	NUM
ejpam-6364	191	13	)	)	PUNCT
ejpam-6364	191	14	+	+	CCONJ
ejpam-6364	191	15	2φ11φ12(s	2φ11φ12(s	NUM
ejpam-6364	191	16	+	+	CCONJ
ejpam-6364	191	17	s1	s1	NOUN
ejpam-6364	191	18	)	)	PUNCT
ejpam-6364	191	19	+	+	NUM
ejpam-6364	191	20	φ2	φ2	PROPN
ejpam-6364	191	21	12	12	NUM
ejpam-6364	191	22	)	)	PUNCT
ejpam-6364	191	23	|s	|s	PROPN
ejpam-6364	191	24	−	−	PROPN
ejpam-6364	191	25	s1|2	s1|2	PROPN
ejpam-6364	191	26	,	,	PUNCT
ejpam-6364	191	27	≤	≤	NUM
ejpam-6364	191	28	(	(	PUNCT
ejpam-6364	191	29	sup	sup	NOUN
ejpam-6364	191	30	t∈[0,t	t∈[0,t	NOUN
ejpam-6364	191	31	]	]	PUNCT
ejpam-6364	191	32	|s2(t)|+	|s2(t)|+	PROPN
ejpam-6364	191	33	2	2	NUM
ejpam-6364	191	34	sup	sup	NOUN
ejpam-6364	191	35	t∈[0,t	t∈[0,t	NOUN
ejpam-6364	191	36	]	]	PUNCT
ejpam-6364	191	37	|s(t)|	|s(t)|	NOUN
ejpam-6364	191	38	sup	sup	NOUN
ejpam-6364	191	39	t∈[0,t	t∈[0,t	NOUN
ejpam-6364	191	40	]	]	PUNCT
ejpam-6364	191	41	|s1(t)|+	|s1(t)|+	PROPN
ejpam-6364	191	42	sup	sup	NOUN
ejpam-6364	191	43	t∈[0,t	t∈[0,t	X
ejpam-6364	191	44	]	]	PUNCT
ejpam-6364	191	45	|st	|st	NUM
ejpam-6364	191	46	1(t)|	1(t)|	NUM
ejpam-6364	191	47	+2φ11φ12(supt∈[0,t	+2φ11φ12(supt∈[0,t	ADJ
ejpam-6364	191	48	]	]	PUNCT
ejpam-6364	191	49	|s(t)|+	|s(t)|+	ADJ
ejpam-6364	191	50	supt∈[0,t	supt∈[0,t	NOUN
ejpam-6364	191	51	]	]	PUNCT
ejpam-6364	191	52	|s1(t)|	|s1(t)|	ADV
ejpam-6364	191	53	)	)	PUNCT
ejpam-6364	192	1	+	+	NUM
ejpam-6364	192	2	φ2	φ2	PROPN
ejpam-6364	192	3	12	12	NUM
ejpam-6364	192	4	)	)	PUNCT
ejpam-6364	192	5	|s	|s	PROPN
ejpam-6364	192	6	−	−	PROPN
ejpam-6364	192	7	s1|2	s1|2	PROPN
ejpam-6364	192	8	,	,	PUNCT
ejpam-6364	192	9	≤	≤	NUM
ejpam-6364	192	10	(	(	PUNCT
ejpam-6364	192	11	φ2	φ2	PROPN
ejpam-6364	192	12	11	11	NUM
ejpam-6364	192	13	(	(	PUNCT
ejpam-6364	192	14	||s2||∞	||s2||∞	NOUN
ejpam-6364	192	15	+	+	CCONJ
ejpam-6364	192	16	2||s||∞||s1||∞	2||s||∞||s1||∞	NUM
ejpam-6364	192	17	+	+	CCONJ
ejpam-6364	192	18	||s2	||s2	ADJ
ejpam-6364	192	19	1	1	NUM
ejpam-6364	192	20	||∞	||∞	PROPN
ejpam-6364	192	21	)	)	PUNCT
ejpam-6364	192	22	+2φ11φ12||s||∞||s1||∞	+2φ11φ12||s||∞||s1||∞	PUNCT
ejpam-6364	193	1	+	+	ADJ
ejpam-6364	193	2	φ2	φ2	PROPN
ejpam-6364	193	3	12	12	NUM
ejpam-6364	193	4	)	)	PUNCT
ejpam-6364	193	5	|s	|s	PROPN
ejpam-6364	193	6	−	−	PROPN
ejpam-6364	193	7	s1|2	s1|2	PROPN
ejpam-6364	193	8	,	,	PUNCT
ejpam-6364	193	9	≤	≤	PROPN
ejpam-6364	193	10	k̃1|s	k̃1|s	PROPN
ejpam-6364	193	11	−	−	PROPN
ejpam-6364	193	12	s1|2	s1|2	PROPN
ejpam-6364	193	13	(	(	PUNCT
ejpam-6364	193	14	18	18	NUM
ejpam-6364	193	15	)	)	PUNCT
ejpam-6364	193	16	r.	r.	PROPN
ejpam-6364	193	17	ud	ud	AUX
ejpam-6364	193	18	din	din	VERB
ejpam-6364	193	19	et	et	PROPN
ejpam-6364	193	20	al	al	PROPN
ejpam-6364	193	21	.	.	PUNCT
ejpam-6364	193	22	/	/	SYM
ejpam-6364	193	23	eur	eur	PROPN
ejpam-6364	193	24	.	.	PUNCT
ejpam-6364	194	1	j.	j.	PROPN
ejpam-6364	194	2	pure	pure	PROPN
ejpam-6364	194	3	appl	appl	PROPN
ejpam-6364	194	4	.	.	PROPN
ejpam-6364	194	5	math	math	PROPN
ejpam-6364	194	6	,	,	PUNCT
ejpam-6364	194	7	18	18	NUM
ejpam-6364	194	8	(	(	PUNCT
ejpam-6364	194	9	4	4	NUM
ejpam-6364	194	10	)	)	PUNCT
ejpam-6364	194	11	(	(	PUNCT
ejpam-6364	194	12	2025	2025	NUM
ejpam-6364	194	13	)	)	PUNCT
ejpam-6364	194	14	,	,	PUNCT
ejpam-6364	194	15	6364	6364	NUM
ejpam-6364	194	16	14	14	NUM
ejpam-6364	194	17	of	of	ADP
ejpam-6364	194	18	23	23	NUM
ejpam-6364	194	19	in	in	ADP
ejpam-6364	194	20	which	which	PRON
ejpam-6364	194	21	k̃1	k̃1	PROPN
ejpam-6364	194	22	=	=	SYM
ejpam-6364	194	23	φ2	φ2	PROPN
ejpam-6364	194	24	11	11	NUM
ejpam-6364	194	25	(	(	PUNCT
ejpam-6364	194	26	||s2||∞	||s2||∞	NOUN
ejpam-6364	194	27	+	+	CCONJ
ejpam-6364	194	28	2||s||∞||s1||∞	2||s||∞||s1||∞	NUM
ejpam-6364	194	29	+	+	CCONJ
ejpam-6364	194	30	||s2	||s2	ADJ
ejpam-6364	194	31	1	1	NUM
ejpam-6364	194	32	||∞	||∞	PROPN
ejpam-6364	194	33	)	)	PUNCT
ejpam-6364	195	1	+	+	CCONJ
ejpam-6364	195	2	2φ11φ12||s||∞||s1||∞	2φ11φ12||s||∞||s1||∞	NUM
ejpam-6364	195	3	+	+	ADJ
ejpam-6364	195	4	φ2	φ2	PROPN
ejpam-6364	195	5	12	12	NUM
ejpam-6364	195	6	,	,	PUNCT
ejpam-6364	195	7	=	=	SYM
ejpam-6364	195	8	φ2	φ2	NOUN
ejpam-6364	195	9	11	11	NUM
ejpam-6364	195	10	(	(	PUNCT
ejpam-6364	195	11	||s||∞	||s||∞	VERB
ejpam-6364	195	12	+	+	CCONJ
ejpam-6364	195	13	||s1||∞||	||s1||∞||	NUM
ejpam-6364	195	14	)	)	PUNCT
ejpam-6364	195	15	2	2	NUM
ejpam-6364	195	16	+	+	CCONJ
ejpam-6364	195	17	2φ11φ12||s||∞||s1||∞||+φ2	2φ11φ12||s||∞||s1||∞||+φ2	NUM
ejpam-6364	195	18	12	12	NUM
ejpam-6364	195	19	.	.	PUNCT
ejpam-6364	196	1	likewise	likewise	ADV
ejpam-6364	196	2	,	,	PUNCT
ejpam-6364	196	3	we	we	PRON
ejpam-6364	196	4	can	can	AUX
ejpam-6364	196	5	demonstrate	demonstrate	VERB
ejpam-6364	196	6	that	that	SCONJ
ejpam-6364	196	7	the	the	DET
ejpam-6364	196	8	remaining	remain	VERB
ejpam-6364	196	9	model	model	NOUN
ejpam-6364	196	10	equations	equation	NOUN
ejpam-6364	196	11	(	(	PUNCT
ejpam-6364	196	12	15	15	NUM
ejpam-6364	196	13	)	)	PUNCT
ejpam-6364	196	14	meet	meet	NOUN
ejpam-6364	196	15	theorem	theorem	NOUN
ejpam-6364	196	16	’s	’s	PART
ejpam-6364	196	17	condition	condition	NOUN
ejpam-6364	196	18	(	(	PUNCT
ejpam-6364	196	19	i	i	NOUN
ejpam-6364	196	20	)	)	PUNCT
ejpam-6364	196	21	.	.	PUNCT
ejpam-6364	197	1	consequently	consequently	ADV
ejpam-6364	197	2	,	,	PUNCT
ejpam-6364	197	3	k̂2	k̂2	PROPN
ejpam-6364	197	4	=	=	SYM
ejpam-6364	197	5	φ2	φ2	PROPN
ejpam-6364	197	6	21	21	NUM
ejpam-6364	197	7	(	(	PUNCT
ejpam-6364	197	8	||i||∞	||i||∞	VERB
ejpam-6364	197	9	+	+	CCONJ
ejpam-6364	197	10	||i1||∞||	||i1||∞||	PROPN
ejpam-6364	197	11	)	)	PUNCT
ejpam-6364	197	12	2	2	NUM
ejpam-6364	198	1	+	+	NUM
ejpam-6364	198	2	2φ21φ22||i||∞||i1||∞	2φ21φ22||i||∞||i1||∞	NUM
ejpam-6364	199	1	+	+	ADJ
ejpam-6364	199	2	φ2	φ2	PROPN
ejpam-6364	199	3	22	22	NUM
ejpam-6364	199	4	,	,	PUNCT
ejpam-6364	199	5	k̂3	k̂3	NOUN
ejpam-6364	199	6	=	=	SYM
ejpam-6364	199	7	φ2	φ2	PROPN
ejpam-6364	199	8	31	31	NUM
ejpam-6364	199	9	(	(	PUNCT
ejpam-6364	199	10	||t	||t	PROPN
ejpam-6364	199	11	||∞	||∞	PROPN
ejpam-6364	199	12	+	+	CCONJ
ejpam-6364	199	13	||t1||∞||	||t1||∞||	PROPN
ejpam-6364	199	14	)	)	PUNCT
ejpam-6364	199	15	2	2	NUM
ejpam-6364	199	16	+	+	NUM
ejpam-6364	199	17	2φ31φ32||t	2φ31φ32||t	NUM
ejpam-6364	199	18	||∞||t1||∞	||∞||t1||∞	PUNCT
ejpam-6364	199	19	+	+	PROPN
ejpam-6364	199	20	φ2	φ2	PROPN
ejpam-6364	199	21	32	32	NUM
ejpam-6364	199	22	,	,	PUNCT
ejpam-6364	199	23	k̂4	k̂4	NOUN
ejpam-6364	199	24	=	=	SYM
ejpam-6364	199	25	φ2	φ2	PROPN
ejpam-6364	199	26	41	41	NUM
ejpam-6364	199	27	(	(	PUNCT
ejpam-6364	199	28	||r||∞	||r||∞	NOUN
ejpam-6364	199	29	+	+	CCONJ
ejpam-6364	199	30	||r1||∞||	||r1||∞||	NUM
ejpam-6364	199	31	)	)	PUNCT
ejpam-6364	199	32	2	2	NUM
ejpam-6364	199	33	+	+	NUM
ejpam-6364	199	34	2φ41φ42||r||∞||r1||∞	2φ41φ42||r||∞||r1||∞	NUM
ejpam-6364	199	35	+	+	ADJ
ejpam-6364	199	36	φ2	φ2	PROPN
ejpam-6364	199	37	42	42	NUM
ejpam-6364	199	38	.	.	PUNCT
ejpam-6364	200	1	moreover	moreover	ADV
ejpam-6364	200	2	,	,	PUNCT
ejpam-6364	200	3	we	we	PRON
ejpam-6364	200	4	take	take	VERB
ejpam-6364	200	5	into	into	ADP
ejpam-6364	200	6	account	account	NOUN
ejpam-6364	200	7	the	the	DET
ejpam-6364	200	8	i	i	PROPN
ejpam-6364	200	9	compartment	compartment	VERB
ejpam-6364	200	10	and	and	CCONJ
ejpam-6364	200	11	get	get	VERB
ejpam-6364	200	12	|m2(i	|m2(i	NUM
ejpam-6364	200	13	,	,	PUNCT
ejpam-6364	200	14	t)−m2(i1	t)−m2(i1	ADJ
ejpam-6364	200	15	,	,	PUNCT
ejpam-6364	200	16	t)|2	t)|2	NOUN
ejpam-6364	200	17	=	=	SYM
ejpam-6364	201	1	|	|	ADV
ejpam-6364	201	2	−	−	PROPN
ejpam-6364	201	3	(	(	PUNCT
ejpam-6364	201	4	α+	α+	X
ejpam-6364	201	5	µ+	µ+	VERB
ejpam-6364	201	6	d0)(i	d0)(i	PROPN
ejpam-6364	201	7	−	−	PROPN
ejpam-6364	201	8	i1)|2	i1)|2	PROPN
ejpam-6364	201	9	,	,	PUNCT
ejpam-6364	201	10	≤	≤	NOUN
ejpam-6364	201	11	2|(α+	2|(α+	NUM
ejpam-6364	201	12	µ+	µ+	PRON
ejpam-6364	201	13	d0)|2|(i	d0)|2|(i	PROPN
ejpam-6364	201	14	−	−	PROPN
ejpam-6364	201	15	i1)|2	i1)|2	PROPN
ejpam-6364	201	16	,	,	PUNCT
ejpam-6364	201	17	≤	≤	NUM
ejpam-6364	201	18	k2|(i	k2|(i	NOUN
ejpam-6364	201	19	−	−	PROPN
ejpam-6364	201	20	i1)|2	i1)|2	PROPN
ejpam-6364	201	21	where	where	SCONJ
ejpam-6364	201	22	k2	k2	X
ejpam-6364	201	23	=	=	PROPN
ejpam-6364	201	24	2|(α+	2|(α+	NUM
ejpam-6364	201	25	µ+	µ+	PRON
ejpam-6364	201	26	d0)|2	d0)|2	NOUN
ejpam-6364	201	27	.	.	PUNCT
ejpam-6364	202	1	also	also	ADV
ejpam-6364	202	2	,	,	PUNCT
ejpam-6364	202	3	for	for	ADP
ejpam-6364	202	4	the	the	DET
ejpam-6364	202	5	t	t	PROPN
ejpam-6364	202	6	class	class	NOUN
ejpam-6364	202	7	,	,	PUNCT
ejpam-6364	202	8	we	we	PRON
ejpam-6364	202	9	have	have	VERB
ejpam-6364	202	10	that	that	DET
ejpam-6364	202	11	|m3(t	|m3(t	NUM
ejpam-6364	202	12	,	,	PUNCT
ejpam-6364	202	13	t)−m3(t1	t)−m3(t1	PROPN
ejpam-6364	202	14	,	,	PUNCT
ejpam-6364	202	15	t)|2	t)|2	NOUN
ejpam-6364	203	1	=	=	PUNCT
ejpam-6364	204	1	|	|	ADV
ejpam-6364	204	2	−	−	PROPN
ejpam-6364	204	3	(	(	PUNCT
ejpam-6364	204	4	r	r	NOUN
ejpam-6364	204	5	+	+	CCONJ
ejpam-6364	204	6	d0)(i	d0)(i	PROPN
ejpam-6364	204	7	−	−	PROPN
ejpam-6364	205	1	i1)|2	i1)|2	PROPN
ejpam-6364	205	2	,	,	PUNCT
ejpam-6364	205	3	≤	≤	NOUN
ejpam-6364	205	4	2|r	2|r	NUM
ejpam-6364	206	1	+	+	CCONJ
ejpam-6364	206	2	d0|2|i	d0|2|i	PROPN
ejpam-6364	206	3	−	−	PROPN
ejpam-6364	206	4	i1|2	i1|2	PROPN
ejpam-6364	206	5	,	,	PUNCT
ejpam-6364	206	6	≤	≤	NUM
ejpam-6364	206	7	k3|i	k3|i	ADJ
ejpam-6364	206	8	−	−	PROPN
ejpam-6364	206	9	i1|2	i1|2	PROPN
ejpam-6364	206	10	,	,	PUNCT
ejpam-6364	206	11	where	where	SCONJ
ejpam-6364	206	12	k3	k3	VERB
ejpam-6364	206	13	=	=	SYM
ejpam-6364	206	14	2|r	2|r	PROPN
ejpam-6364	206	15	+	+	CCONJ
ejpam-6364	206	16	d0|2	d0|2	ADJ
ejpam-6364	206	17	.	.	PUNCT
ejpam-6364	207	1	likewise	likewise	ADV
ejpam-6364	207	2	,	,	PUNCT
ejpam-6364	207	3	we	we	PRON
ejpam-6364	207	4	have	have	VERB
ejpam-6364	207	5	|m4(r	|m4(r	NUM
ejpam-6364	207	6	,	,	PUNCT
ejpam-6364	207	7	t)−m4(r1	t)−m4(r1	PROPN
ejpam-6364	207	8	,	,	PUNCT
ejpam-6364	207	9	t)|2	t)|2	NOUN
ejpam-6364	207	10	=	=	SYM
ejpam-6364	208	1	|	|	ADV
ejpam-6364	208	2	−	−	PROPN
ejpam-6364	208	3	d0(r−r1)|2	d0(r−r1)|2	PROPN
ejpam-6364	208	4	,	,	PUNCT
ejpam-6364	208	5	≤	≤	NUM
ejpam-6364	208	6	2|d0|r	2|d0|r	NUM
ejpam-6364	208	7	−r1|2	−r1|2	NOUN
ejpam-6364	208	8	,	,	PUNCT
ejpam-6364	208	9	≤	≤	NUM
ejpam-6364	208	10	k4|r	k4|r	PROPN
ejpam-6364	208	11	−r1|2	−r1|2	PROPN
ejpam-6364	208	12	,	,	PUNCT
ejpam-6364	208	13	where	where	SCONJ
ejpam-6364	208	14	k4	k4	NOUN
ejpam-6364	208	15	=	=	NOUN
ejpam-6364	208	16	2|d0|2	2|d0|2	NUM
ejpam-6364	208	17	.	.	PUNCT
ejpam-6364	209	1	then	then	ADV
ejpam-6364	209	2	,	,	PUNCT
ejpam-6364	209	3	for	for	ADP
ejpam-6364	209	4	our	our	PRON
ejpam-6364	209	5	model	model	NOUN
ejpam-6364	209	6	(	(	PUNCT
ejpam-6364	209	7	15	15	NUM
ejpam-6364	209	8	)	)	PUNCT
ejpam-6364	209	9	,	,	PUNCT
ejpam-6364	209	10	we	we	PRON
ejpam-6364	209	11	prove	prove	VERB
ejpam-6364	209	12	that	that	SCONJ
ejpam-6364	209	13	conditions	condition	NOUN
ejpam-6364	209	14	(	(	PUNCT
ejpam-6364	209	15	ii	ii	NOUN
ejpam-6364	209	16	)	)	PUNCT
ejpam-6364	209	17	are	be	AUX
ejpam-6364	209	18	satisfied	satisfied	ADJ
ejpam-6364	209	19	.	.	PUNCT
ejpam-6364	210	1	|m1(s	|m1(s	ADJ
ejpam-6364	210	2	,	,	PUNCT
ejpam-6364	210	3	t)|2	t)|2	NOUN
ejpam-6364	210	4	=	=	SYM
ejpam-6364	210	5	∣∣∣∣b−	∣∣∣∣b−	NOUN
ejpam-6364	210	6	ksi	ksi	NOUN
ejpam-6364	210	7	1	1	NUM
ejpam-6364	210	8	+	+	CCONJ
ejpam-6364	210	9	βi	βi	PROPN
ejpam-6364	210	10	−	−	PROPN
ejpam-6364	210	11	d0s	d0s	ADJ
ejpam-6364	210	12	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6364	210	13	,	,	PUNCT
ejpam-6364	210	14	≤	≤	NUM
ejpam-6364	210	15	∣∣∣∣b−	∣∣∣∣b−	NOUN
ejpam-6364	211	1	ksi	ksi	NOUN
ejpam-6364	211	2	1	1	NUM
ejpam-6364	211	3	+	+	CCONJ
ejpam-6364	211	4	βi	βi	PROPN
ejpam-6364	211	5	−	−	PROPN
ejpam-6364	211	6	d0s	d0s	ADJ
ejpam-6364	211	7	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6364	211	8	,	,	PUNCT
ejpam-6364	211	9	≤	≤	ADJ
ejpam-6364	211	10	|s|2	|s|2	NOUN
ejpam-6364	211	11	∣∣∣∣b−	∣∣∣∣b−	NOUN
ejpam-6364	212	1	ki	ki	PROPN
ejpam-6364	212	2	1	1	NUM
ejpam-6364	213	1	+	+	CCONJ
ejpam-6364	213	2	βi	βi	VERB
ejpam-6364	213	3	−	−	PROPN
ejpam-6364	213	4	d0	d0	PROPN
ejpam-6364	213	5	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6364	213	6	,	,	PUNCT
ejpam-6364	213	7	≤	≤	NUM
ejpam-6364	213	8	(	(	PUNCT
ejpam-6364	213	9	|s|2	|s|2	NOUN
ejpam-6364	213	10	+	+	CCONJ
ejpam-6364	213	11	1	1	NUM
ejpam-6364	213	12	)	)	PUNCT
ejpam-6364	213	13	∣∣∣∣b−	∣∣∣∣b−	NOUN
ejpam-6364	214	1	ki	ki	PROPN
ejpam-6364	214	2	1	1	NUM
ejpam-6364	215	1	+	+	CCONJ
ejpam-6364	215	2	βi	βi	VERB
ejpam-6364	215	3	−	−	PROPN
ejpam-6364	215	4	d0	d0	PROPN
ejpam-6364	215	5	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6364	215	6	,	,	PUNCT
ejpam-6364	215	7	≤	≤	NUM
ejpam-6364	215	8	(	(	PUNCT
ejpam-6364	215	9	|s|2	|s|2	NOUN
ejpam-6364	215	10	+	+	NOUN
ejpam-6364	215	11	1	1	NUM
ejpam-6364	215	12	)	)	PUNCT
ejpam-6364	215	13	sup	sup	NOUN
ejpam-6364	215	14	t∈[0,t	t∈[0,t	NOUN
ejpam-6364	215	15	]	]	PUNCT
ejpam-6364	215	16	∣∣∣∣b−	∣∣∣∣b−	NOUN
ejpam-6364	216	1	ki	ki	PROPN
ejpam-6364	216	2	1	1	NUM
ejpam-6364	217	1	+	+	CCONJ
ejpam-6364	217	2	βi	βi	VERB
ejpam-6364	217	3	−	−	PROPN
ejpam-6364	217	4	d0	d0	PROPN
ejpam-6364	217	5	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6364	217	6	,	,	PUNCT
ejpam-6364	217	7	≤	≤	NUM
ejpam-6364	217	8	k1(|s|2	k1(|s|2	PROPN
ejpam-6364	217	9	+	+	CCONJ
ejpam-6364	217	10	1	1	X
ejpam-6364	217	11	)	)	PUNCT
ejpam-6364	217	12	r.	r.	PROPN
ejpam-6364	217	13	ud	ud	AUX
ejpam-6364	217	14	din	din	VERB
ejpam-6364	217	15	et	et	PROPN
ejpam-6364	217	16	al	al	PROPN
ejpam-6364	217	17	.	.	PUNCT
ejpam-6364	217	18	/	/	SYM
ejpam-6364	217	19	eur	eur	PROPN
ejpam-6364	217	20	.	.	PUNCT
ejpam-6364	218	1	j.	j.	PROPN
ejpam-6364	218	2	pure	pure	PROPN
ejpam-6364	218	3	appl	appl	PROPN
ejpam-6364	218	4	.	.	PROPN
ejpam-6364	218	5	math	math	PROPN
ejpam-6364	218	6	,	,	PUNCT
ejpam-6364	218	7	18	18	NUM
ejpam-6364	218	8	(	(	PUNCT
ejpam-6364	218	9	4	4	NUM
ejpam-6364	218	10	)	)	PUNCT
ejpam-6364	218	11	(	(	PUNCT
ejpam-6364	218	12	2025	2025	NUM
ejpam-6364	218	13	)	)	PUNCT
ejpam-6364	218	14	,	,	PUNCT
ejpam-6364	218	15	6364	6364	NUM
ejpam-6364	218	16	15	15	NUM
ejpam-6364	218	17	of	of	ADP
ejpam-6364	218	18	23	23	NUM
ejpam-6364	218	19	for	for	ADP
ejpam-6364	218	20	k1	k1	NOUN
ejpam-6364	218	21	=	=	SYM
ejpam-6364	218	22	sup	sup	NOUN
ejpam-6364	218	23	t∈[0,t	t∈[0,t	NOUN
ejpam-6364	218	24	]	]	X
ejpam-6364	218	25	∣∣∣∣b−	∣∣∣∣b−	NOUN
ejpam-6364	219	1	ki	ki	PROPN
ejpam-6364	219	2	1	1	NUM
ejpam-6364	219	3	+	+	CCONJ
ejpam-6364	219	4	βi	βi	VERB
ejpam-6364	219	5	−	−	PROPN
ejpam-6364	219	6	d0	d0	PROPN
ejpam-6364	219	7	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6364	219	8	.	.	PUNCT
ejpam-6364	220	1	also	also	ADV
ejpam-6364	220	2	,	,	PUNCT
ejpam-6364	220	3	|n1(s	|n1(s	PROPN
ejpam-6364	220	4	,	,	PUNCT
ejpam-6364	220	5	t)−n1(s1	t)−n1(s1	NOUN
ejpam-6364	220	6	,	,	PUNCT
ejpam-6364	220	7	t)|2	t)|2	NOUN
ejpam-6364	220	8	=	=	PUNCT
ejpam-6364	220	9	|(φ11s	|(φ11s	PROPN
ejpam-6364	220	10	+	+	ADJ
ejpam-6364	220	11	φ12)s|2	φ12)s|2	NOUN
ejpam-6364	220	12	,	,	PUNCT
ejpam-6364	220	13	≤	≤	PUNCT
ejpam-6364	220	14	|φ11s2	|φ11s2	PROPN
ejpam-6364	221	1	+	+	NOUN
ejpam-6364	221	2	φ12s2|2	φ12s2|2	NOUN
ejpam-6364	221	3	,	,	PUNCT
ejpam-6364	221	4	≤	≤	NUM
ejpam-6364	221	5	(	(	PUNCT
ejpam-6364	221	6	φ11	φ11	X
ejpam-6364	221	7	+	+	NOUN
ejpam-6364	221	8	φ12	φ12	NOUN
ejpam-6364	221	9	)	)	PUNCT
ejpam-6364	221	10	2	2	NUM
ejpam-6364	221	11	|s2|2	|s2|2	X
ejpam-6364	221	12	,	,	PUNCT
ejpam-6364	221	13	≤	≤	NUM
ejpam-6364	221	14	(	(	PUNCT
ejpam-6364	221	15	φ11	φ11	X
ejpam-6364	221	16	+	+	NOUN
ejpam-6364	221	17	φ12	φ12	NOUN
ejpam-6364	221	18	)	)	PUNCT
ejpam-6364	221	19	2	2	NUM
ejpam-6364	221	20	sup	sup	NOUN
ejpam-6364	221	21	t∈[0,t	t∈[0,t	PROPN
ejpam-6364	221	22	]	]	X
ejpam-6364	221	23	|s2||s|2	|s2||s|2	PROPN
ejpam-6364	221	24	,	,	PUNCT
ejpam-6364	221	25	≤	≤	NUM
ejpam-6364	221	26	(	(	PUNCT
ejpam-6364	221	27	φ11	φ11	X
ejpam-6364	221	28	+	+	NOUN
ejpam-6364	221	29	φ12	φ12	NOUN
ejpam-6364	221	30	)	)	PUNCT
ejpam-6364	221	31	2	2	NUM
ejpam-6364	222	1	||s2||∞(|s|2	||s2||∞(|s|2	NOUN
ejpam-6364	222	2	+	+	NOUN
ejpam-6364	222	3	1	1	NUM
ejpam-6364	222	4	)	)	PUNCT
ejpam-6364	222	5	,	,	PUNCT
ejpam-6364	222	6	≤	≤	NUM
ejpam-6364	222	7	k̃1(|s|2	k̃1(|s|2	PROPN
ejpam-6364	222	8	+	+	CCONJ
ejpam-6364	222	9	1	1	NUM
ejpam-6364	222	10	)	)	PUNCT
ejpam-6364	222	11	,	,	PUNCT
ejpam-6364	222	12	(	(	PUNCT
ejpam-6364	222	13	19	19	NUM
ejpam-6364	222	14	)	)	PUNCT
ejpam-6364	222	15	in	in	ADP
ejpam-6364	222	16	which	which	PRON
ejpam-6364	222	17	k̂1	k̂1	NOUN
ejpam-6364	222	18	=	=	X
ejpam-6364	222	19	(	(	PUNCT
ejpam-6364	222	20	φ11	φ11	X
ejpam-6364	222	21	+	+	NOUN
ejpam-6364	222	22	φ12	φ12	NOUN
ejpam-6364	222	23	)	)	PUNCT
ejpam-6364	222	24	2	2	NUM
ejpam-6364	222	25	||s2||∞.	||s2||∞.	VERB
ejpam-6364	222	26	in	in	ADP
ejpam-6364	222	27	similar	similar	ADJ
ejpam-6364	222	28	fashion	fashion	NOUN
ejpam-6364	222	29	k̂2	k̂2	X
ejpam-6364	223	1	=	=	PRON
ejpam-6364	223	2	(	(	PUNCT
ejpam-6364	223	3	φ21	φ21	X
ejpam-6364	223	4	+	+	NOUN
ejpam-6364	223	5	φ22	φ22	NOUN
ejpam-6364	223	6	)	)	SYM
ejpam-6364	223	7	2	2	NUM
ejpam-6364	223	8	||i2||∞	||i2||∞	NOUN
ejpam-6364	223	9	,	,	PUNCT
ejpam-6364	223	10	k̂3	k̂3	NOUN
ejpam-6364	223	11	=	=	SYM
ejpam-6364	223	12	(	(	PUNCT
ejpam-6364	223	13	φ31	φ31	NOUN
ejpam-6364	223	14	+	+	NOUN
ejpam-6364	223	15	φ32	φ32	ADJ
ejpam-6364	223	16	)	)	SYM
ejpam-6364	223	17	2	2	NUM
ejpam-6364	223	18	||t	||t	NOUN
ejpam-6364	223	19	2||∞	2||∞	NUM
ejpam-6364	223	20	,	,	PUNCT
ejpam-6364	223	21	and	and	CCONJ
ejpam-6364	223	22	k̂4	k̂4	NOUN
ejpam-6364	223	23	=	=	SYM
ejpam-6364	223	24	(	(	PUNCT
ejpam-6364	223	25	φ41	φ41	ADJ
ejpam-6364	223	26	+	+	ADJ
ejpam-6364	223	27	φ42	φ42	ADJ
ejpam-6364	223	28	)	)	PUNCT
ejpam-6364	223	29	2	2	NUM
ejpam-6364	223	30	||r2||∞.	||r2||∞.	NOUN
ejpam-6364	223	31	furthermore	furthermore	ADV
ejpam-6364	223	32	,	,	PUNCT
ejpam-6364	223	33	we	we	PRON
ejpam-6364	223	34	have	have	VERB
ejpam-6364	223	35	that	that	PRON
ejpam-6364	223	36	for	for	ADP
ejpam-6364	223	37	the	the	DET
ejpam-6364	223	38	i	i	PROPN
ejpam-6364	223	39	,	,	PUNCT
ejpam-6364	223	40	t	t	PROPN
ejpam-6364	223	41	,	,	PUNCT
ejpam-6364	223	42	and	and	CCONJ
ejpam-6364	223	43	r	r	NOUN
ejpam-6364	223	44	compartments	compartment	NOUN
ejpam-6364	223	45	,	,	PUNCT
ejpam-6364	223	46	|n2(i	|n2(i	NUM
ejpam-6364	223	47	,	,	PUNCT
ejpam-6364	223	48	t)|2	t)|2	NOUN
ejpam-6364	223	49	=	=	SYM
ejpam-6364	223	50	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6364	223	51	ksi	ksi	NOUN
ejpam-6364	223	52	1	1	NUM
ejpam-6364	223	53	+	+	CCONJ
ejpam-6364	223	54	βi	βi	PRON
ejpam-6364	223	55	−	−	PROPN
ejpam-6364	223	56	(	(	PUNCT
ejpam-6364	223	57	α+	α+	X
ejpam-6364	223	58	µ+	µ+	PUNCT
ejpam-6364	223	59	d0)i	d0)i	ADJ
ejpam-6364	223	60	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6364	223	61	,	,	PUNCT
ejpam-6364	223	62	≤	≤	NUM
ejpam-6364	223	63	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6364	223	64	ks	ks	NOUN
ejpam-6364	223	65	1	1	NUM
ejpam-6364	223	66	+	+	NOUN
ejpam-6364	223	67	β	β	PRON
ejpam-6364	223	68	−	−	X
ejpam-6364	223	69	(	(	PUNCT
ejpam-6364	223	70	α+	α+	X
ejpam-6364	223	71	µ+	µ+	X
ejpam-6364	223	72	d0	d0	NOUN
ejpam-6364	223	73	)	)	PUNCT
ejpam-6364	223	74	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6364	223	75	|i|2	|i|2	PROPN
ejpam-6364	223	76	,	,	PUNCT
ejpam-6364	223	77	≤	≤	NUM
ejpam-6364	223	78	(	(	PUNCT
ejpam-6364	223	79	|i|2	|i|2	PROPN
ejpam-6364	223	80	+	+	CCONJ
ejpam-6364	223	81	1	1	X
ejpam-6364	223	82	)	)	PUNCT
ejpam-6364	223	83	sup	sup	NOUN
ejpam-6364	223	84	t∈[0,t	t∈[0,t	NOUN
ejpam-6364	223	85	]	]	PUNCT
ejpam-6364	223	86	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6364	223	87	ks	ks	NOUN
ejpam-6364	223	88	1	1	NUM
ejpam-6364	223	89	+	+	CCONJ
ejpam-6364	223	90	β	β	PRON
ejpam-6364	223	91	−	−	X
ejpam-6364	223	92	(	(	PUNCT
ejpam-6364	223	93	α+	α+	X
ejpam-6364	223	94	µ+	µ+	X
ejpam-6364	223	95	d0	d0	NOUN
ejpam-6364	223	96	)	)	PUNCT
ejpam-6364	223	97	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6364	223	98	,	,	PUNCT
ejpam-6364	223	99	≤	≤	NUM
ejpam-6364	223	100	k2(|i|2	k2(|i|2	PROPN
ejpam-6364	224	1	+	+	CCONJ
ejpam-6364	224	2	1	1	NUM
ejpam-6364	224	3	)	)	PUNCT
ejpam-6364	224	4	,	,	PUNCT
ejpam-6364	224	5	|n3(t	|n3(t	NUM
ejpam-6364	224	6	,	,	PUNCT
ejpam-6364	224	7	t)|2	t)|2	NOUN
ejpam-6364	224	8	=	=	PUNCT
ejpam-6364	225	1	|µi	|µi	NUM
ejpam-6364	225	2	−	−	PROPN
ejpam-6364	225	3	(	(	PUNCT
ejpam-6364	225	4	r	r	NOUN
ejpam-6364	225	5	+	+	CCONJ
ejpam-6364	225	6	d0)t	d0)t	NOUN
ejpam-6364	225	7	|2	|2	NUM
ejpam-6364	225	8	,	,	PUNCT
ejpam-6364	225	9	≤	≤	NUM
ejpam-6364	225	10	|µi	|µi	ADP
ejpam-6364	225	11	−	−	PROPN
ejpam-6364	225	12	(	(	PUNCT
ejpam-6364	225	13	r	r	NOUN
ejpam-6364	225	14	+	+	X
ejpam-6364	225	15	d0)|2|t	d0)|2|t	NOUN
ejpam-6364	225	16	|2	|2	NUM
ejpam-6364	225	17	,	,	PUNCT
ejpam-6364	225	18	≤	≤	NUM
ejpam-6364	225	19	(	(	PUNCT
ejpam-6364	225	20	|t	|t	PROPN
ejpam-6364	225	21	|2	|2	NUM
ejpam-6364	226	1	+	+	CCONJ
ejpam-6364	226	2	1	1	X
ejpam-6364	226	3	)	)	PUNCT
ejpam-6364	226	4	sup	sup	NOUN
ejpam-6364	226	5	t∈[0,t	t∈[0,t	NOUN
ejpam-6364	226	6	]	]	PUNCT
ejpam-6364	226	7	|µi	|µi	NUM
ejpam-6364	226	8	−	−	PROPN
ejpam-6364	226	9	(	(	PUNCT
ejpam-6364	226	10	r	r	NOUN
ejpam-6364	226	11	+	+	NUM
ejpam-6364	226	12	d0)|2	d0)|2	NOUN
ejpam-6364	226	13	,	,	PUNCT
ejpam-6364	226	14	≤	≤	NUM
ejpam-6364	226	15	k3(|t	k3(|t	NOUN
ejpam-6364	226	16	|2	|2	NUM
ejpam-6364	227	1	+	+	CCONJ
ejpam-6364	227	2	1	1	NUM
ejpam-6364	227	3	)	)	PUNCT
ejpam-6364	227	4	,	,	PUNCT
ejpam-6364	227	5	|n4(r	|n4(r	INTJ
ejpam-6364	227	6	,	,	PUNCT
ejpam-6364	227	7	t)|2	t)|2	NOUN
ejpam-6364	227	8	=	=	SYM
ejpam-6364	227	9	|rt	|rt	NOUN
ejpam-6364	227	10	+	+	CCONJ
ejpam-6364	227	11	αi	αi	VERB
ejpam-6364	227	12	−	−	PROPN
ejpam-6364	227	13	d0r|2	d0r|2	PROPN
ejpam-6364	227	14	,	,	PUNCT
ejpam-6364	227	15	≤	≤	NUM
ejpam-6364	227	16	|rt	|rt	X
ejpam-6364	227	17	+	+	CCONJ
ejpam-6364	227	18	αi	αi	PRON
ejpam-6364	227	19	−	−	PROPN
ejpam-6364	227	20	d0|2|r|2	d0|2|r|2	NOUN
ejpam-6364	227	21	,	,	PUNCT
ejpam-6364	227	22	≤	≤	NUM
ejpam-6364	227	23	(	(	PUNCT
ejpam-6364	227	24	|r|2	|r|2	PROPN
ejpam-6364	227	25	+	+	CCONJ
ejpam-6364	227	26	1	1	NUM
ejpam-6364	227	27	)	)	PUNCT
ejpam-6364	227	28	sup	sup	NOUN
ejpam-6364	227	29	t∈[0,t	t∈[0,t	NOUN
ejpam-6364	227	30	]	]	PUNCT
ejpam-6364	227	31	||rt	||rt	NOUN
ejpam-6364	227	32	+	+	CCONJ
ejpam-6364	227	33	αi	αi	VERB
ejpam-6364	227	34	−	−	ADP
ejpam-6364	227	35	d0|2	d0|2	ADP
ejpam-6364	227	36	,	,	PUNCT
ejpam-6364	227	37	≤	≤	NUM
ejpam-6364	227	38	k4(|r|2	k4(|r|2	NOUN
ejpam-6364	228	1	+	+	CCONJ
ejpam-6364	228	2	1	1	NUM
ejpam-6364	228	3	)	)	PUNCT
ejpam-6364	228	4	where	where	SCONJ
ejpam-6364	228	5	k̂2	k̂2	PRON
ejpam-6364	229	1	=	=	PUNCT
ejpam-6364	229	2	sup	sup	NOUN
ejpam-6364	229	3	t∈[0,t	t∈[0,t	NOUN
ejpam-6364	229	4	]	]	PUNCT
ejpam-6364	229	5	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6364	229	6	ks	ks	NOUN
ejpam-6364	229	7	1	1	NUM
ejpam-6364	229	8	+	+	CCONJ
ejpam-6364	229	9	β	β	PRON
ejpam-6364	229	10	−	−	X
ejpam-6364	229	11	(	(	PUNCT
ejpam-6364	229	12	α+	α+	X
ejpam-6364	229	13	µ+	µ+	X
ejpam-6364	229	14	d0	d0	NOUN
ejpam-6364	229	15	)	)	PUNCT
ejpam-6364	229	16	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6364	229	17	,	,	PUNCT
ejpam-6364	229	18	k̂3	k̂3	NOUN
ejpam-6364	229	19	=	=	PUNCT
ejpam-6364	229	20	sup	sup	NOUN
ejpam-6364	229	21	t∈[0,t	t∈[0,t	NOUN
ejpam-6364	229	22	]	]	PUNCT
ejpam-6364	229	23	|µi	|µi	NUM
ejpam-6364	229	24	−	−	PROPN
ejpam-6364	229	25	(	(	PUNCT
ejpam-6364	229	26	r	r	NOUN
ejpam-6364	229	27	+	+	NUM
ejpam-6364	229	28	d0)|2	d0)|2	NOUN
ejpam-6364	229	29	,	,	PUNCT
ejpam-6364	229	30	and	and	CCONJ
ejpam-6364	229	31	k̂4	k̂4	NOUN
ejpam-6364	229	32	=	=	SYM
ejpam-6364	229	33	sup	sup	NOUN
ejpam-6364	229	34	t∈[0,t	t∈[0,t	NOUN
ejpam-6364	229	35	]	]	PUNCT
ejpam-6364	229	36	|rt	|rt	X
ejpam-6364	229	37	+	+	X
ejpam-6364	229	38	αi	αi	VERB
ejpam-6364	229	39	−	−	ADP
ejpam-6364	229	40	d0|2	d0|2	NOUN
ejpam-6364	229	41	.	.	PUNCT
ejpam-6364	229	42	r.	r.	PROPN
ejpam-6364	229	43	ud	ud	AUX
ejpam-6364	229	44	din	din	VERB
ejpam-6364	229	45	et	et	PROPN
ejpam-6364	229	46	al	al	PROPN
ejpam-6364	229	47	.	.	PUNCT
ejpam-6364	229	48	/	/	SYM
ejpam-6364	229	49	eur	eur	PROPN
ejpam-6364	229	50	.	.	PUNCT
ejpam-6364	230	1	j.	j.	PROPN
ejpam-6364	230	2	pure	pure	PROPN
ejpam-6364	230	3	appl	appl	PROPN
ejpam-6364	230	4	.	.	PROPN
ejpam-6364	230	5	math	math	PROPN
ejpam-6364	230	6	,	,	PUNCT
ejpam-6364	230	7	18	18	NUM
ejpam-6364	230	8	(	(	PUNCT
ejpam-6364	230	9	4	4	NUM
ejpam-6364	230	10	)	)	PUNCT
ejpam-6364	230	11	(	(	PUNCT
ejpam-6364	230	12	2025	2025	NUM
ejpam-6364	230	13	)	)	PUNCT
ejpam-6364	230	14	,	,	PUNCT
ejpam-6364	230	15	6364	6364	NUM
ejpam-6364	230	16	16	16	NUM
ejpam-6364	230	17	of	of	ADP
ejpam-6364	230	18	23	23	NUM
ejpam-6364	230	19	when	when	SCONJ
ejpam-6364	230	20	every	every	DET
ejpam-6364	230	21	mi	mi	PROPN
ejpam-6364	230	22	and	and	CCONJ
ejpam-6364	230	23	ni	ni	PROPN
ejpam-6364	230	24	for	for	ADP
ejpam-6364	230	25	i	i	PRON
ejpam-6364	230	26	=	=	NOUN
ejpam-6364	230	27	1	1	NUM
ejpam-6364	230	28	,	,	PUNCT
ejpam-6364	230	29	2	2	NUM
ejpam-6364	230	30	,	,	PUNCT
ejpam-6364	230	31	·	·	PUNCT
ejpam-6364	230	32	·	·	PUNCT
ejpam-6364	230	33	·	·	PUNCT
ejpam-6364	230	34	,	,	PUNCT
ejpam-6364	230	35	4	4	NUM
ejpam-6364	230	36	meet	meet	VERB
ejpam-6364	230	37	all	all	DET
ejpam-6364	230	38	the	the	DET
ejpam-6364	230	39	requirements	requirement	NOUN
ejpam-6364	230	40	listed	list	VERB
ejpam-6364	230	41	in	in	ADP
ejpam-6364	230	42	theorem	theorem	ADJ
ejpam-6364	230	43	2	2	NUM
ejpam-6364	230	44	,	,	PUNCT
ejpam-6364	230	45	system	system	NOUN
ejpam-6364	230	46	(	(	PUNCT
ejpam-6364	230	47	15	15	NUM
ejpam-6364	230	48	)	)	PUNCT
ejpam-6364	230	49	existing	exist	VERB
ejpam-6364	230	50	and	and	CCONJ
ejpam-6364	230	51	has	have	VERB
ejpam-6364	230	52	a	a	DET
ejpam-6364	230	53	unique	unique	ADJ
ejpam-6364	230	54	solution	solution	NOUN
ejpam-6364	230	55	.	.	PUNCT
ejpam-6364	231	1	the	the	DET
ejpam-6364	231	2	proof	proof	NOUN
ejpam-6364	231	3	is	be	AUX
ejpam-6364	231	4	now	now	ADV
ejpam-6364	231	5	complete	complete	ADJ
ejpam-6364	231	6	.	.	PUNCT
ejpam-6364	232	1	7	7	X
ejpam-6364	232	2	.	.	X
ejpam-6364	232	3	the	the	DET
ejpam-6364	232	4	stochastic	stochastic	ADJ
ejpam-6364	232	5	model	model	NOUN
ejpam-6364	232	6	’s	’s	PART
ejpam-6364	232	7	basic	basic	ADJ
ejpam-6364	232	8	reproduction	reproduction	NOUN
ejpam-6364	232	9	number	number	NOUN
ejpam-6364	232	10	the	the	DET
ejpam-6364	232	11	infected	infected	ADJ
ejpam-6364	232	12	compartment	compartment	NOUN
ejpam-6364	232	13	i	i	PRON
ejpam-6364	232	14	of	of	ADP
ejpam-6364	232	15	the	the	DET
ejpam-6364	232	16	stochastic	stochastic	ADJ
ejpam-6364	232	17	system	system	NOUN
ejpam-6364	232	18	(	(	PUNCT
ejpam-6364	232	19	15	15	NUM
ejpam-6364	232	20	)	)	PUNCT
ejpam-6364	232	21	is	be	AUX
ejpam-6364	232	22	taken	take	VERB
ejpam-6364	232	23	into	into	ADP
ejpam-6364	232	24	consideration	consideration	NOUN
ejpam-6364	232	25	,	,	PUNCT
ejpam-6364	232	26	such	such	ADJ
ejpam-6364	232	27	that	that	SCONJ
ejpam-6364	232	28	the	the	DET
ejpam-6364	232	29	stochastic	stochastic	ADJ
ejpam-6364	232	30	fundamental	fundamental	ADJ
ejpam-6364	232	31	reproduction	reproduction	NOUN
ejpam-6364	232	32	number	number	NOUN
ejpam-6364	232	33	can	can	AUX
ejpam-6364	232	34	be	be	AUX
ejpam-6364	232	35	calculated	calculate	VERB
ejpam-6364	232	36	.	.	PUNCT
ejpam-6364	233	1	di	di	NOUN
ejpam-6364	233	2	=	=	PUNCT
ejpam-6364	234	1	[	[	PUNCT
ejpam-6364	234	2	ksi	ksi	NOUN
ejpam-6364	234	3	1	1	NUM
ejpam-6364	234	4	+	+	CCONJ
ejpam-6364	234	5	βi	βi	PRON
ejpam-6364	234	6	−	−	PROPN
ejpam-6364	234	7	(	(	PUNCT
ejpam-6364	234	8	α+	α+	X
ejpam-6364	234	9	µ+	µ+	X
ejpam-6364	234	10	d0)i	d0)i	ADJ
ejpam-6364	234	11	]	]	PUNCT
ejpam-6364	234	12	dt+	dt+	NOUN
ejpam-6364	234	13	(	(	PUNCT
ejpam-6364	234	14	φ21i	φ21i	NUM
ejpam-6364	234	15	+	+	ADP
ejpam-6364	234	16	φ22)i	φ22)i	PROPN
ejpam-6364	234	17	dc2(t	dc2(t	PROPN
ejpam-6364	234	18	)	)	PUNCT
ejpam-6364	234	19	.	.	PUNCT
ejpam-6364	235	1	now	now	ADV
ejpam-6364	235	2	,	,	PUNCT
ejpam-6364	235	3	utilizing	utilize	VERB
ejpam-6364	235	4	the	the	DET
ejpam-6364	235	5	ito	ito	PROPN
ejpam-6364	235	6	′	′	PROPN
ejpam-6364	235	7	s	s	PART
ejpam-6364	235	8	formula	formula	NOUN
ejpam-6364	235	9	,	,	PUNCT
ejpam-6364	235	10	we	we	PRON
ejpam-6364	235	11	calculate	calculate	VERB
ejpam-6364	235	12	our	our	PRON
ejpam-6364	235	13	basic	basic	ADJ
ejpam-6364	235	14	reproduction	reproduction	NOUN
ejpam-6364	235	15	number	number	NOUN
ejpam-6364	235	16	stochastically	stochastically	ADV
ejpam-6364	235	17	.	.	PUNCT
ejpam-6364	236	1	the	the	DET
ejpam-6364	236	2	taylor	taylor	PROPN
ejpam-6364	236	3	series	series	PROPN
ejpam-6364	236	4	representing	represent	VERB
ejpam-6364	236	5	h(t	h(t	PROPN
ejpam-6364	236	6	,	,	PUNCT
ejpam-6364	236	7	i(t	i(t	PROPN
ejpam-6364	236	8	)	)	PUNCT
ejpam-6364	236	9	)	)	PUNCT
ejpam-6364	237	1	=	=	PUNCT
ejpam-6364	237	2	in(i(t	in(i(t	NOUN
ejpam-6364	237	3	)	)	PUNCT
ejpam-6364	237	4	)	)	PUNCT
ejpam-6364	237	5	will	will	AUX
ejpam-6364	237	6	now	now	ADV
ejpam-6364	237	7	be	be	AUX
ejpam-6364	237	8	examined	examine	VERB
ejpam-6364	237	9	.	.	PUNCT
ejpam-6364	238	1	dh(t	dh(t	X
ejpam-6364	238	2	,	,	PUNCT
ejpam-6364	238	3	i(t	i(t	PROPN
ejpam-6364	238	4	)	)	PUNCT
ejpam-6364	238	5	)	)	PUNCT
ejpam-6364	239	1	=	=	PUNCT
ejpam-6364	240	1	∂h	∂h	VERB
ejpam-6364	240	2	∂t	∂t	NOUN
ejpam-6364	240	3	dt+	dt+	NOUN
ejpam-6364	240	4	∂h	∂h	PROPN
ejpam-6364	240	5	∂i(t	∂i(t	NOUN
ejpam-6364	240	6	)	)	PUNCT
ejpam-6364	240	7	di(t	di(t	NUM
ejpam-6364	240	8	)	)	PUNCT
ejpam-6364	241	1	+	+	CCONJ
ejpam-6364	241	2	1	1	NUM
ejpam-6364	241	3	2	2	NUM
ejpam-6364	241	4	∂2h	∂2h	NOUN
ejpam-6364	241	5	∂i2(t	∂i2(t	PROPN
ejpam-6364	241	6	)	)	PUNCT
ejpam-6364	241	7	(	(	PUNCT
ejpam-6364	241	8	di(t))2	di(t))2	X
ejpam-6364	241	9	+	+	CCONJ
ejpam-6364	241	10	∂2h	∂2h	NOUN
ejpam-6364	241	11	∂i(t)∂t	∂i(t)∂t	VERB
ejpam-6364	241	12	di(t)dt+	di(t)dt+	NOUN
ejpam-6364	241	13	1	1	NUM
ejpam-6364	241	14	2	2	NUM
ejpam-6364	241	15	∂2h	∂2h	NOUN
ejpam-6364	241	16	∂t2	∂t2	NOUN
ejpam-6364	241	17	(	(	PUNCT
ejpam-6364	241	18	dt)2	dt)2	PROPN
ejpam-6364	241	19	.	.	PROPN
ejpam-6364	241	20	where	where	SCONJ
ejpam-6364	241	21	∂h	∂h	PROPN
ejpam-6364	241	22	∂t	∂t	PROPN
ejpam-6364	241	23	=	=	SYM
ejpam-6364	241	24	0	0	PROPN
ejpam-6364	241	25	,	,	PUNCT
ejpam-6364	241	26	∂h	∂h	PROPN
ejpam-6364	241	27	∂i(t	∂i(t	PROPN
ejpam-6364	241	28	)	)	PUNCT
ejpam-6364	241	29	=	=	NOUN
ejpam-6364	241	30	1	1	NUM
ejpam-6364	241	31	i(t	i(t	NOUN
ejpam-6364	241	32	)	)	PUNCT
ejpam-6364	241	33	,	,	PUNCT
ejpam-6364	241	34	∂2h	∂2h	NOUN
ejpam-6364	241	35	∂i2(t	∂i2(t	PROPN
ejpam-6364	241	36	)	)	PUNCT
ejpam-6364	241	37	=	=	PUNCT
ejpam-6364	241	38	1	1	NUM
ejpam-6364	241	39	i2(t	i2(t	NOUN
ejpam-6364	241	40	)	)	PUNCT
ejpam-6364	241	41	,	,	PUNCT
ejpam-6364	241	42	∂2h	∂2h	NOUN
ejpam-6364	241	43	∂i∂t	∂i∂t	NOUN
ejpam-6364	241	44	=	=	SYM
ejpam-6364	241	45	0	0	NUM
ejpam-6364	241	46	and	and	CCONJ
ejpam-6364	241	47	∂2h	∂2h	NOUN
ejpam-6364	241	48	∂t2	∂t2	NOUN
ejpam-6364	241	49	=	=	SYM
ejpam-6364	241	50	0	0	NUM
ejpam-6364	241	51	dh(t	dh(t	NUM
ejpam-6364	241	52	,	,	PUNCT
ejpam-6364	241	53	i(t	i(t	PROPN
ejpam-6364	241	54	)	)	PUNCT
ejpam-6364	241	55	)	)	PUNCT
ejpam-6364	242	1	=	=	SYM
ejpam-6364	242	2	1	1	NUM
ejpam-6364	242	3	i(t	i(t	PROPN
ejpam-6364	242	4	)	)	PUNCT
ejpam-6364	242	5	di(t)−	di(t)−	PROPN
ejpam-6364	242	6	1	1	NUM
ejpam-6364	242	7	2i2(t	2i2(t	NUM
ejpam-6364	242	8	)	)	PUNCT
ejpam-6364	242	9	di2(t	di2(t	PROPN
ejpam-6364	242	10	)	)	PUNCT
ejpam-6364	242	11	.	.	PUNCT
ejpam-6364	243	1	this	this	PRON
ejpam-6364	243	2	implies	imply	VERB
ejpam-6364	243	3	,	,	PUNCT
ejpam-6364	243	4	dh(t	dh(t	NOUN
ejpam-6364	243	5	,	,	PUNCT
ejpam-6364	243	6	i(t	i(t	PROPN
ejpam-6364	243	7	)	)	PUNCT
ejpam-6364	243	8	)	)	PUNCT
ejpam-6364	244	1	=	=	SYM
ejpam-6364	244	2	1	1	NUM
ejpam-6364	244	3	i(t	i(t	NOUN
ejpam-6364	244	4	)	)	PUNCT
ejpam-6364	244	5	[	[	PUNCT
ejpam-6364	244	6	(	(	PUNCT
ejpam-6364	244	7	ksi	ksi	PROPN
ejpam-6364	244	8	1	1	NUM
ejpam-6364	244	9	+	+	CCONJ
ejpam-6364	244	10	βi	βi	PRON
ejpam-6364	244	11	−	−	PROPN
ejpam-6364	244	12	(	(	PUNCT
ejpam-6364	244	13	α+	α+	X
ejpam-6364	244	14	µ+	µ+	X
ejpam-6364	244	15	d0)i)dt+	d0)i)dt+	NOUN
ejpam-6364	244	16	(	(	PUNCT
ejpam-6364	244	17	φ21i	φ21i	PROPN
ejpam-6364	244	18	+	+	ADP
ejpam-6364	244	19	φ22)i	φ22)i	PROPN
ejpam-6364	244	20	dc2(t	dc2(t	PROPN
ejpam-6364	244	21	)	)	PUNCT
ejpam-6364	244	22	]	]	PUNCT
ejpam-6364	245	1	−	−	PROPN
ejpam-6364	245	2	1	1	NUM
ejpam-6364	245	3	2i2(t	2i2(t	NUM
ejpam-6364	245	4	)	)	PUNCT
ejpam-6364	245	5	(	(	PUNCT
ejpam-6364	245	6	[	[	PUNCT
ejpam-6364	245	7	ksi	ksi	X
ejpam-6364	245	8	1	1	NUM
ejpam-6364	245	9	+	+	CCONJ
ejpam-6364	245	10	βi	βi	PRON
ejpam-6364	245	11	−	−	PROPN
ejpam-6364	245	12	(	(	PUNCT
ejpam-6364	245	13	α+	α+	X
ejpam-6364	245	14	µ+	µ+	X
ejpam-6364	245	15	d0)i]dt+	d0)i]dt+	NOUN
ejpam-6364	245	16	(	(	PUNCT
ejpam-6364	245	17	φ21i	φ21i	PROPN
ejpam-6364	245	18	+	+	ADP
ejpam-6364	245	19	φ22)i	φ22)i	PROPN
ejpam-6364	245	20	dc2(t	dc2(t	PROPN
ejpam-6364	245	21	)	)	PUNCT
ejpam-6364	245	22	)	)	PUNCT
ejpam-6364	245	23	2	2	NUM
ejpam-6364	245	24	(	(	PUNCT
ejpam-6364	245	25	t	t	PROPN
ejpam-6364	245	26	)	)	PUNCT
ejpam-6364	245	27	.	.	PUNCT
ejpam-6364	246	1	then	then	ADV
ejpam-6364	246	2	,	,	PUNCT
ejpam-6364	246	3	applying	apply	VERB
ejpam-6364	246	4	the	the	DET
ejpam-6364	246	5	chain	chain	NOUN
ejpam-6364	246	6	law	law	NOUN
ejpam-6364	246	7	,	,	PUNCT
ejpam-6364	246	8	we	we	PRON
ejpam-6364	246	9	get	get	VERB
ejpam-6364	246	10	dh(t	dh(t	NOUN
ejpam-6364	246	11	,	,	PUNCT
ejpam-6364	246	12	i(t	i(t	PROPN
ejpam-6364	246	13	)	)	PUNCT
ejpam-6364	246	14	)	)	PUNCT
ejpam-6364	247	1	=	=	PUNCT
ejpam-6364	247	2	[	[	PUNCT
ejpam-6364	247	3	ksi	ksi	NOUN
ejpam-6364	247	4	1	1	NUM
ejpam-6364	247	5	+	+	CCONJ
ejpam-6364	247	6	βi	βi	PRON
ejpam-6364	247	7	−	−	PROPN
ejpam-6364	247	8	(	(	PUNCT
ejpam-6364	247	9	α+	α+	X
ejpam-6364	247	10	µ+	µ+	PUNCT
ejpam-6364	247	11	d0)i	d0)i	ADJ
ejpam-6364	247	12	−	−	PROPN
ejpam-6364	247	13	1	1	NUM
ejpam-6364	247	14	2	2	NUM
ejpam-6364	247	15	(	(	PUNCT
ejpam-6364	247	16	φ21i	φ21i	NUM
ejpam-6364	247	17	+	+	NUM
ejpam-6364	247	18	φ22	φ22	NOUN
ejpam-6364	247	19	)	)	PUNCT
ejpam-6364	247	20	2	2	NUM
ejpam-6364	247	21	]	]	PUNCT
ejpam-6364	247	22	dt+	dt+	NOUN
ejpam-6364	247	23	(	(	PUNCT
ejpam-6364	247	24	φ21i	φ21i	X
ejpam-6364	247	25	+	+	NOUN
ejpam-6364	247	26	φ22)dc2(t	φ22)dc2(t	NOUN
ejpam-6364	247	27	)	)	PUNCT
ejpam-6364	247	28	.	.	PUNCT
ejpam-6364	248	1	assume	assume	VERB
ejpam-6364	248	2	that	that	SCONJ
ejpam-6364	248	3	the	the	DET
ejpam-6364	248	4	current	current	ADJ
ejpam-6364	248	5	infection	infection	NOUN
ejpam-6364	248	6	opening	opening	NOUN
ejpam-6364	248	7	rate	rate	NOUN
ejpam-6364	248	8	is	be	AUX
ejpam-6364	248	9	f	f	PROPN
ejpam-6364	248	10	and	and	CCONJ
ejpam-6364	248	11	the	the	DET
ejpam-6364	248	12	new	new	ADJ
ejpam-6364	248	13	virus	virus	NOUN
ejpam-6364	248	14	transfer	transfer	NOUN
ejpam-6364	248	15	rate	rate	NOUN
ejpam-6364	248	16	is	be	AUX
ejpam-6364	248	17	v.	v.	ADP
ejpam-6364	248	18	following	follow	VERB
ejpam-6364	248	19	that	that	PRON
ejpam-6364	248	20	,	,	PUNCT
ejpam-6364	248	21	e0	e0	PROPN
ejpam-6364	248	22	and	and	CCONJ
ejpam-6364	248	23	f	f	PROPN
ejpam-6364	248	24	at	at	ADP
ejpam-6364	248	25	the	the	DET
ejpam-6364	248	26	disease	disease	NOUN
ejpam-6364	248	27	-	-	PUNCT
ejpam-6364	248	28	free	free	ADJ
ejpam-6364	248	29	point	point	NOUN
ejpam-6364	248	30	of	of	ADP
ejpam-6364	248	31	equilibrium	equilibrium	NOUN
ejpam-6364	248	32	turn	turn	NOUN
ejpam-6364	248	33	into	into	ADP
ejpam-6364	248	34	,	,	PUNCT
ejpam-6364	248	35	f	f	PROPN
ejpam-6364	249	1	=	=	PUNCT
ejpam-6364	249	2	[	[	PUNCT
ejpam-6364	249	3	kb	kb	X
ejpam-6364	249	4	d0	d0	NOUN
ejpam-6364	249	5	−	−	PROPN
ejpam-6364	249	6	1	1	NUM
ejpam-6364	249	7	2	2	NUM
ejpam-6364	249	8	(	(	PUNCT
ejpam-6364	249	9	φ21i	φ21i	NUM
ejpam-6364	249	10	+	+	NUM
ejpam-6364	249	11	φ22	φ22	NOUN
ejpam-6364	249	12	)	)	PUNCT
ejpam-6364	249	13	2	2	NUM
ejpam-6364	249	14	]	]	PUNCT
ejpam-6364	249	15	,	,	PUNCT
ejpam-6364	249	16	v	v	X
ejpam-6364	249	17	=	=	SYM
ejpam-6364	249	18	(	(	PUNCT
ejpam-6364	249	19	α+	α+	X
ejpam-6364	249	20	µ+	µ+	X
ejpam-6364	249	21	d0	d0	NOUN
ejpam-6364	249	22	)	)	PUNCT
ejpam-6364	249	23	,	,	PUNCT
ejpam-6364	249	24	v−1	v−1	PROPN
ejpam-6364	249	25	=	=	SYM
ejpam-6364	249	26	1	1	X
ejpam-6364	249	27	(	(	PUNCT
ejpam-6364	249	28	α+	α+	X
ejpam-6364	249	29	µ+	µ+	X
ejpam-6364	249	30	d0	d0	NOUN
ejpam-6364	249	31	)	)	PUNCT
ejpam-6364	249	32	.	.	PUNCT
ejpam-6364	250	1	this	this	PRON
ejpam-6364	250	2	,	,	PUNCT
ejpam-6364	250	3	implies	imply	VERB
ejpam-6364	250	4	fv−1	fv−1	PROPN
ejpam-6364	250	5	=	=	SYM
ejpam-6364	250	6	[	[	PUNCT
ejpam-6364	250	7	kb	kb	X
ejpam-6364	250	8	d0(α+	d0(α+	PROPN
ejpam-6364	250	9	µ+	µ+	NOUN
ejpam-6364	250	10	d0	d0	NOUN
ejpam-6364	250	11	)	)	PUNCT
ejpam-6364	250	12	−	−	PROPN
ejpam-6364	251	1	(	(	PUNCT
ejpam-6364	252	1	φ21i	φ21i	NUM
ejpam-6364	252	2	+	+	NUM
ejpam-6364	252	3	φ22	φ22	NOUN
ejpam-6364	252	4	)	)	PUNCT
ejpam-6364	252	5	2	2	NUM
ejpam-6364	252	6	2(α+	2(α+	NUM
ejpam-6364	252	7	µ+	µ+	DET
ejpam-6364	252	8	d0	d0	NOUN
ejpam-6364	252	9	)	)	PUNCT
ejpam-6364	252	10	]	]	PUNCT
ejpam-6364	252	11	.	.	PUNCT
ejpam-6364	253	1	where	where	SCONJ
ejpam-6364	253	2	,	,	PUNCT
ejpam-6364	253	3	r1	r1	PROPN
ejpam-6364	253	4	=	=	SYM
ejpam-6364	253	5	kb	kb	PROPN
ejpam-6364	253	6	d0(α+µ+d0	d0(α+µ+d0	PROPN
ejpam-6364	253	7	)	)	PUNCT
ejpam-6364	253	8	therefore	therefore	ADV
ejpam-6364	253	9	,	,	PUNCT
ejpam-6364	253	10	our	our	PRON
ejpam-6364	253	11	fundamental	fundamental	ADJ
ejpam-6364	253	12	delta	delta	NOUN
ejpam-6364	253	13	virus	virus	NOUN
ejpam-6364	253	14	reproduction	reproduction	NOUN
ejpam-6364	253	15	number	number	NOUN
ejpam-6364	253	16	under	under	ADP
ejpam-6364	253	17	the	the	DET
ejpam-6364	253	18	stochastic	stochastic	ADJ
ejpam-6364	253	19	system	system	NOUN
ejpam-6364	253	20	is	be	AUX
ejpam-6364	253	21	,	,	PUNCT
ejpam-6364	253	22	rs	rs	PROPN
ejpam-6364	253	23	1	1	NUM
ejpam-6364	253	24	=	=	SYM
ejpam-6364	253	25	r1	r1	PROPN
ejpam-6364	253	26	−	−	PROPN
ejpam-6364	253	27	(	(	PUNCT
ejpam-6364	253	28	φ21i	φ21i	NUM
ejpam-6364	254	1	+	+	NUM
ejpam-6364	254	2	φ22	φ22	NOUN
ejpam-6364	254	3	)	)	PUNCT
ejpam-6364	254	4	2	2	NUM
ejpam-6364	254	5	2(α+	2(α+	NUM
ejpam-6364	254	6	µ+	µ+	DET
ejpam-6364	254	7	d0	d0	NOUN
ejpam-6364	254	8	)	)	PUNCT
ejpam-6364	254	9	.	.	PUNCT
ejpam-6364	255	1	r.	r.	PROPN
ejpam-6364	255	2	ud	ud	AUX
ejpam-6364	255	3	din	din	VERB
ejpam-6364	255	4	et	et	PROPN
ejpam-6364	255	5	al	al	PROPN
ejpam-6364	255	6	.	.	PUNCT
ejpam-6364	255	7	/	/	SYM
ejpam-6364	255	8	eur	eur	PROPN
ejpam-6364	255	9	.	.	PUNCT
ejpam-6364	256	1	j.	j.	PROPN
ejpam-6364	256	2	pure	pure	PROPN
ejpam-6364	256	3	appl	appl	PROPN
ejpam-6364	256	4	.	.	PROPN
ejpam-6364	256	5	math	math	PROPN
ejpam-6364	256	6	,	,	PUNCT
ejpam-6364	256	7	18	18	NUM
ejpam-6364	256	8	(	(	PUNCT
ejpam-6364	256	9	4	4	NUM
ejpam-6364	256	10	)	)	PUNCT
ejpam-6364	256	11	(	(	PUNCT
ejpam-6364	256	12	2025	2025	NUM
ejpam-6364	256	13	)	)	PUNCT
ejpam-6364	256	14	,	,	PUNCT
ejpam-6364	256	15	6364	6364	NUM
ejpam-6364	256	16	17	17	NUM
ejpam-6364	256	17	of	of	ADP
ejpam-6364	256	18	23	23	NUM
ejpam-6364	256	19	8	8	NUM
ejpam-6364	256	20	.	.	PUNCT
ejpam-6364	257	1	stability	stability	NOUN
ejpam-6364	257	2	analysis	analysis	NOUN
ejpam-6364	257	3	of	of	ADP
ejpam-6364	257	4	stochastic	stochastic	ADJ
ejpam-6364	257	5	model	model	NOUN
ejpam-6364	257	6	the	the	DET
ejpam-6364	257	7	stable	stable	ADJ
ejpam-6364	257	8	behavior	behavior	NOUN
ejpam-6364	257	9	within	within	ADP
ejpam-6364	257	10	a	a	DET
ejpam-6364	257	11	stochastic	stochastic	ADJ
ejpam-6364	257	12	system	system	NOUN
ejpam-6364	257	13	dependent	dependent	ADJ
ejpam-6364	257	14	upon	upon	SCONJ
ejpam-6364	257	15	the	the	DET
ejpam-6364	257	16	stochastic	stochastic	ADJ
ejpam-6364	257	17	fundamental	fundamental	ADJ
ejpam-6364	257	18	reproduction	reproduction	NOUN
ejpam-6364	257	19	number	number	NOUN
ejpam-6364	257	20	is	be	AUX
ejpam-6364	257	21	covered	cover	VERB
ejpam-6364	257	22	in	in	ADP
ejpam-6364	257	23	this	this	DET
ejpam-6364	257	24	section	section	NOUN
ejpam-6364	257	25	.	.	PUNCT
ejpam-6364	258	1	according	accord	VERB
ejpam-6364	258	2	to	to	ADP
ejpam-6364	258	3	the	the	DET
ejpam-6364	258	4	following	following	ADJ
ejpam-6364	258	5	theory	theory	NOUN
ejpam-6364	258	6	,	,	PUNCT
ejpam-6364	258	7	the	the	DET
ejpam-6364	258	8	stochastic	stochastic	ADJ
ejpam-6364	258	9	system	system	NOUN
ejpam-6364	258	10	(	(	PUNCT
ejpam-6364	258	11	15	15	NUM
ejpam-6364	258	12	)	)	PUNCT
ejpam-6364	258	13	will	will	AUX
ejpam-6364	258	14	be	be	AUX
ejpam-6364	258	15	locally	locally	ADV
ejpam-6364	258	16	asymptotically	asymptotically	ADV
ejpam-6364	258	17	stable	stable	ADJ
ejpam-6364	258	18	if	if	SCONJ
ejpam-6364	258	19	either	either	CCONJ
ejpam-6364	258	20	rs	rs	PROPN
ejpam-6364	258	21	1	1	NUM
ejpam-6364	258	22	<	<	SYM
ejpam-6364	258	23	1	1	NUM
ejpam-6364	258	24	or	or	CCONJ
ejpam-6364	258	25	rs	rs	ADJ
ejpam-6364	258	26	2	2	NUM
ejpam-6364	258	27	<	<	SYM
ejpam-6364	258	28	1	1	NUM
ejpam-6364	258	29	.	.	PUNCT
ejpam-6364	258	30	theorem	theorem	NOUN
ejpam-6364	258	31	3	3	NUM
ejpam-6364	258	32	.	.	PUNCT
ejpam-6364	259	1	if	if	SCONJ
ejpam-6364	259	2	rs	rs	NOUN
ejpam-6364	259	3	1	1	NUM
ejpam-6364	259	4	<	<	X
ejpam-6364	259	5	1	1	NUM
ejpam-6364	259	6	,	,	PUNCT
ejpam-6364	259	7	then	then	ADV
ejpam-6364	259	8	e0	e0	PROPN
ejpam-6364	259	9	is	be	AUX
ejpam-6364	259	10	a	a	DET
ejpam-6364	259	11	locally	locally	ADV
ejpam-6364	259	12	asymptotically	asymptotically	ADV
ejpam-6364	259	13	stable	stable	ADJ
ejpam-6364	259	14	dfe	dfe	PROPN
ejpam-6364	259	15	point	point	NOUN
ejpam-6364	259	16	.	.	PUNCT
ejpam-6364	260	1	proof	proof	NOUN
ejpam-6364	260	2	.	.	PUNCT
ejpam-6364	261	1	given	give	VERB
ejpam-6364	261	2	a	a	DET
ejpam-6364	261	3	taylor	taylor	NOUN
ejpam-6364	261	4	expansion	expansion	NOUN
ejpam-6364	261	5	such	such	ADJ
ejpam-6364	261	6	as	as	ADP
ejpam-6364	261	7	f	f	PROPN
ejpam-6364	261	8	(	(	PUNCT
ejpam-6364	261	9	t	t	PROPN
ejpam-6364	261	10	,	,	PUNCT
ejpam-6364	261	11	i(t	i(t	PROPN
ejpam-6364	261	12	)	)	PUNCT
ejpam-6364	261	13	)	)	PUNCT
ejpam-6364	262	1	=	=	PUNCT
ejpam-6364	262	2	lni(t	lni(t	PROPN
ejpam-6364	262	3	)	)	PUNCT
ejpam-6364	262	4	,	,	PUNCT
ejpam-6364	262	5	the	the	DET
ejpam-6364	262	6	it0̂	it0̂	ADJ
ejpam-6364	262	7	formula	formula	NOUN
ejpam-6364	262	8	yields	yield	NOUN
ejpam-6364	262	9	df	df	PROPN
ejpam-6364	262	10	(	(	PUNCT
ejpam-6364	262	11	t	t	PROPN
ejpam-6364	262	12	,	,	PUNCT
ejpam-6364	262	13	i(t	i(t	PROPN
ejpam-6364	262	14	)	)	PUNCT
ejpam-6364	262	15	)	)	PUNCT
ejpam-6364	263	1	=	=	PUNCT
ejpam-6364	264	1	[	[	PUNCT
ejpam-6364	264	2	ksi	ksi	NOUN
ejpam-6364	264	3	1	1	NUM
ejpam-6364	264	4	+	+	CCONJ
ejpam-6364	264	5	βi	βi	PRON
ejpam-6364	264	6	−	−	PROPN
ejpam-6364	264	7	(	(	PUNCT
ejpam-6364	264	8	α+	α+	X
ejpam-6364	264	9	µ+	µ+	X
ejpam-6364	264	10	d0)−	d0)−	PROPN
ejpam-6364	264	11	1	1	NUM
ejpam-6364	264	12	2	2	NUM
ejpam-6364	264	13	(	(	PUNCT
ejpam-6364	264	14	φ21s	φ21s	X
ejpam-6364	264	15	+	+	NOUN
ejpam-6364	264	16	φ22	φ22	NOUN
ejpam-6364	264	17	)	)	PUNCT
ejpam-6364	264	18	2	2	NUM
ejpam-6364	264	19	]	]	PUNCT
ejpam-6364	264	20	dt	dt	X
ejpam-6364	264	21	+	+	CCONJ
ejpam-6364	264	22	(	(	PUNCT
ejpam-6364	264	23	φ21s	φ21s	PRON
ejpam-6364	264	24	+	+	NOUN
ejpam-6364	264	25	φ22)dc3(t	φ22)dc3(t	PRON
ejpam-6364	264	26	)	)	PUNCT
ejpam-6364	264	27	,	,	PUNCT
ejpam-6364	264	28	dlni(t	dlni(t	NOUN
ejpam-6364	264	29	)	)	PUNCT
ejpam-6364	264	30	=	=	PUNCT
ejpam-6364	265	1	[	[	PUNCT
ejpam-6364	265	2	ksi	ksi	NOUN
ejpam-6364	265	3	1	1	NUM
ejpam-6364	265	4	+	+	CCONJ
ejpam-6364	265	5	βi	βi	PRON
ejpam-6364	265	6	−	−	PROPN
ejpam-6364	265	7	(	(	PUNCT
ejpam-6364	265	8	α+	α+	X
ejpam-6364	265	9	µ+	µ+	X
ejpam-6364	265	10	d0)−	d0)−	PROPN
ejpam-6364	265	11	1	1	NUM
ejpam-6364	265	12	2	2	NUM
ejpam-6364	265	13	(	(	PUNCT
ejpam-6364	265	14	φ21s	φ21s	X
ejpam-6364	265	15	+	+	NOUN
ejpam-6364	265	16	φ22	φ22	NOUN
ejpam-6364	265	17	)	)	PUNCT
ejpam-6364	265	18	2	2	NUM
ejpam-6364	265	19	]	]	PUNCT
ejpam-6364	265	20	dt	dt	X
ejpam-6364	265	21	+	+	CCONJ
ejpam-6364	265	22	(	(	PUNCT
ejpam-6364	265	23	φ21s	φ21s	PRON
ejpam-6364	265	24	+	+	NOUN
ejpam-6364	265	25	φ22)dc3(t	φ22)dc3(t	PRON
ejpam-6364	265	26	)	)	PUNCT
ejpam-6364	265	27	.	.	PUNCT
ejpam-6364	266	1	(	(	PUNCT
ejpam-6364	266	2	20	20	NUM
ejpam-6364	266	3	)	)	PUNCT
ejpam-6364	266	4	apply	apply	VERB
ejpam-6364	266	5	integration	integration	NOUN
ejpam-6364	266	6	on	on	ADP
ejpam-6364	266	7	(	(	PUNCT
ejpam-6364	266	8	20	20	NUM
ejpam-6364	266	9	)	)	PUNCT
ejpam-6364	266	10	,	,	PUNCT
ejpam-6364	266	11	we	we	PRON
ejpam-6364	266	12	get	get	VERB
ejpam-6364	266	13	lni(t)−	lni(t)−	PROPN
ejpam-6364	266	14	lni(0	lni(0	PROPN
ejpam-6364	266	15	)	)	PUNCT
ejpam-6364	267	1	=	=	SYM
ejpam-6364	268	1	∫	∫	PROPN
ejpam-6364	268	2	t	t	PROPN
ejpam-6364	268	3	0	0	NUM
ejpam-6364	269	1	(	(	PUNCT
ejpam-6364	269	2	ksi	ksi	PROPN
ejpam-6364	269	3	1	1	NUM
ejpam-6364	269	4	+	+	CCONJ
ejpam-6364	269	5	βi	βi	PRON
ejpam-6364	269	6	−	−	PROPN
ejpam-6364	269	7	(	(	PUNCT
ejpam-6364	269	8	α+	α+	X
ejpam-6364	269	9	µ+	µ+	X
ejpam-6364	269	10	d0)−	d0)−	PROPN
ejpam-6364	269	11	1	1	NUM
ejpam-6364	269	12	2	2	NUM
ejpam-6364	269	13	(	(	PUNCT
ejpam-6364	269	14	φ21s	φ21s	X
ejpam-6364	269	15	+	+	NOUN
ejpam-6364	269	16	φ22	φ22	NOUN
ejpam-6364	269	17	)	)	PUNCT
ejpam-6364	269	18	2	2	NUM
ejpam-6364	269	19	)	)	PUNCT
ejpam-6364	269	20	dt	dt	PUNCT
ejpam-6364	270	1	+	+	CCONJ
ejpam-6364	270	2	∫	∫	PROPN
ejpam-6364	270	3	t	t	PROPN
ejpam-6364	270	4	0	0	NUM
ejpam-6364	270	5	(	(	PUNCT
ejpam-6364	270	6	φ21s	φ21s	PRON
ejpam-6364	270	7	+	+	NOUN
ejpam-6364	270	8	φ22)dc3(t	φ22)dc3(t	PRON
ejpam-6364	270	9	)	)	PUNCT
ejpam-6364	270	10	.	.	PUNCT
ejpam-6364	271	1	(	(	PUNCT
ejpam-6364	271	2	21	21	NUM
ejpam-6364	271	3	)	)	PUNCT
ejpam-6364	271	4	now	now	ADV
ejpam-6364	271	5	,	,	PUNCT
ejpam-6364	271	6	it	it	PRON
ejpam-6364	271	7	dfe	dfe	PROPN
ejpam-6364	271	8	equilibrium	equilibrium	NOUN
ejpam-6364	271	9	point	point	NOUN
ejpam-6364	271	10	solve	solve	NOUN
ejpam-6364	271	11	(	(	PUNCT
ejpam-6364	271	12	21	21	NUM
ejpam-6364	271	13	)	)	PUNCT
ejpam-6364	271	14	,	,	PUNCT
ejpam-6364	271	15	we	we	PRON
ejpam-6364	271	16	get	get	VERB
ejpam-6364	271	17	lni(t	lni(t	PRON
ejpam-6364	271	18	)	)	PUNCT
ejpam-6364	271	19	=	=	PUNCT
ejpam-6364	271	20	lni(0	lni(0	PROPN
ejpam-6364	271	21	)	)	PUNCT
ejpam-6364	272	1	+	+	CCONJ
ejpam-6364	272	2	∫	∫	PROPN
ejpam-6364	272	3	t	t	PROPN
ejpam-6364	272	4	0	0	NUM
ejpam-6364	272	5	(	(	PUNCT
ejpam-6364	272	6	kb	kb	PROPN
ejpam-6364	272	7	d0	d0	PROPN
ejpam-6364	272	8	−	−	PROPN
ejpam-6364	273	1	(	(	PUNCT
ejpam-6364	273	2	α+	α+	X
ejpam-6364	273	3	µ+	µ+	X
ejpam-6364	273	4	d0)−	d0)−	PROPN
ejpam-6364	273	5	1	1	NUM
ejpam-6364	273	6	2	2	NUM
ejpam-6364	273	7	(	(	PUNCT
ejpam-6364	273	8	φ21s	φ21s	X
ejpam-6364	274	1	+	+	NOUN
ejpam-6364	274	2	φ22	φ22	NOUN
ejpam-6364	274	3	)	)	PUNCT
ejpam-6364	274	4	2	2	NUM
ejpam-6364	274	5	)	)	PUNCT
ejpam-6364	274	6	dt	dt	PUNCT
ejpam-6364	275	1	+	+	CCONJ
ejpam-6364	275	2	∫	∫	PROPN
ejpam-6364	275	3	t	t	PROPN
ejpam-6364	275	4	0	0	NUM
ejpam-6364	275	5	(	(	PUNCT
ejpam-6364	275	6	φ21s	φ21s	PRON
ejpam-6364	275	7	+	+	NOUN
ejpam-6364	275	8	φ22)dc3(t	φ22)dc3(t	PRON
ejpam-6364	275	9	)	)	PUNCT
ejpam-6364	275	10	.	.	PUNCT
ejpam-6364	276	1	lni(t	lni(t	X
ejpam-6364	276	2	)	)	PUNCT
ejpam-6364	276	3	≤	≤	NOUN
ejpam-6364	276	4	lni(0	lni(0	ADV
ejpam-6364	276	5	)	)	PUNCT
ejpam-6364	277	1	+	+	CCONJ
ejpam-6364	277	2	(	(	PUNCT
ejpam-6364	277	3	kb	kb	PROPN
ejpam-6364	277	4	d0	d0	PROPN
ejpam-6364	277	5	−	−	PROPN
ejpam-6364	278	1	(	(	PUNCT
ejpam-6364	278	2	α+	α+	X
ejpam-6364	278	3	µ+	µ+	X
ejpam-6364	278	4	d0)−	d0)−	PROPN
ejpam-6364	278	5	1	1	NUM
ejpam-6364	278	6	2	2	NUM
ejpam-6364	278	7	(	(	PUNCT
ejpam-6364	278	8	φ21s	φ21s	X
ejpam-6364	279	1	+	+	NOUN
ejpam-6364	279	2	φ22	φ22	NOUN
ejpam-6364	279	3	)	)	PUNCT
ejpam-6364	279	4	2	2	NUM
ejpam-6364	279	5	)	)	PUNCT
ejpam-6364	279	6	dt+h(t	dt+h(t	NUM
ejpam-6364	279	7	)	)	PUNCT
ejpam-6364	279	8	.	.	PUNCT
ejpam-6364	280	1	(	(	PUNCT
ejpam-6364	280	2	22	22	NUM
ejpam-6364	280	3	)	)	PUNCT
ejpam-6364	280	4	where	where	SCONJ
ejpam-6364	280	5	h(t	h(t	X
ejpam-6364	280	6	)	)	PUNCT
ejpam-6364	280	7	=	=	SYM
ejpam-6364	281	1	∫	∫	PROPN
ejpam-6364	281	2	t	t	PROPN
ejpam-6364	281	3	0	0	NUM
ejpam-6364	281	4	(	(	PUNCT
ejpam-6364	281	5	φ21s	φ21s	PRON
ejpam-6364	281	6	+	+	NOUN
ejpam-6364	281	7	φ22)dc3(t	φ22)dc3(t	PRON
ejpam-6364	281	8	)	)	PUNCT
ejpam-6364	281	9	.	.	PUNCT
ejpam-6364	282	1	we	we	PRON
ejpam-6364	282	2	know	know	VERB
ejpam-6364	282	3	,	,	PUNCT
ejpam-6364	282	4	that	that	SCONJ
ejpam-6364	282	5	limt→∞	limt→∞	PROPN
ejpam-6364	282	6	suph(t	suph(t	PROPN
ejpam-6364	282	7	)	)	PUNCT
ejpam-6364	282	8	t	t	NOUN
ejpam-6364	283	1	=	=	SYM
ejpam-6364	284	1	0	0	NUM
ejpam-6364	284	2	,	,	PUNCT
ejpam-6364	284	3	using	use	VERB
ejpam-6364	284	4	martingales	martingale	NOUN
ejpam-6364	284	5	.	.	PUNCT
ejpam-6364	285	1	furthermore	furthermore	ADV
ejpam-6364	285	2	,	,	PUNCT
ejpam-6364	285	3	divide	divide	VERB
ejpam-6364	285	4	(	(	PUNCT
ejpam-6364	285	5	22	22	NUM
ejpam-6364	285	6	)	)	PUNCT
ejpam-6364	285	7	by	by	ADP
ejpam-6364	285	8	t	t	NOUN
ejpam-6364	285	9	and	and	CCONJ
ejpam-6364	285	10	apply	apply	VERB
ejpam-6364	285	11	limt→∞	limt→∞	PROPN
ejpam-6364	285	12	sup	sup	NOUN
ejpam-6364	285	13	,	,	PUNCT
ejpam-6364	285	14	we	we	PRON
ejpam-6364	285	15	get	get	VERB
ejpam-6364	285	16	lim	lim	NOUN
ejpam-6364	285	17	t→∞	t→∞	PRON
ejpam-6364	285	18	sup	sup	NOUN
ejpam-6364	285	19	lni(t	lni(t	PROPN
ejpam-6364	285	20	)	)	PUNCT
ejpam-6364	286	1	t	t	PROPN
ejpam-6364	286	2	≤	≤	NOUN
ejpam-6364	286	3	lim	lim	PROPN
ejpam-6364	286	4	t→∞	t→∞	PRON
ejpam-6364	286	5	sup	sup	NOUN
ejpam-6364	286	6	(	(	PUNCT
ejpam-6364	286	7	kb	kb	PROPN
ejpam-6364	286	8	d0	d0	PROPN
ejpam-6364	286	9	−	−	PROPN
ejpam-6364	287	1	(	(	PUNCT
ejpam-6364	287	2	α+	α+	X
ejpam-6364	287	3	µ+	µ+	X
ejpam-6364	287	4	d0)−	d0)−	PROPN
ejpam-6364	287	5	1	1	NUM
ejpam-6364	287	6	2	2	NUM
ejpam-6364	287	7	(	(	PUNCT
ejpam-6364	287	8	φ21s	φ21s	X
ejpam-6364	288	1	+	+	NOUN
ejpam-6364	288	2	φ22	φ22	NOUN
ejpam-6364	288	3	)	)	PUNCT
ejpam-6364	288	4	2	2	NUM
ejpam-6364	288	5	)	)	PUNCT
ejpam-6364	288	6	t	t	NOUN
ejpam-6364	289	1	+	+	CCONJ
ejpam-6364	289	2	lim	lim	PROPN
ejpam-6364	289	3	t→∞	t→∞	PRON
ejpam-6364	289	4	sup	sup	NOUN
ejpam-6364	289	5	h(t	h(t	PROPN
ejpam-6364	289	6	)	)	PUNCT
ejpam-6364	289	7	t	t	NOUN
ejpam-6364	289	8	.	.	PUNCT
ejpam-6364	290	1	(	(	PUNCT
ejpam-6364	290	2	23	23	NUM
ejpam-6364	290	3	)	)	PUNCT
ejpam-6364	290	4	r.	r.	PROPN
ejpam-6364	290	5	ud	ud	AUX
ejpam-6364	290	6	din	din	VERB
ejpam-6364	290	7	et	et	PROPN
ejpam-6364	290	8	al	al	PROPN
ejpam-6364	290	9	.	.	PUNCT
ejpam-6364	290	10	/	/	SYM
ejpam-6364	290	11	eur	eur	PROPN
ejpam-6364	290	12	.	.	PUNCT
ejpam-6364	291	1	j.	j.	PROPN
ejpam-6364	291	2	pure	pure	PROPN
ejpam-6364	291	3	appl	appl	PROPN
ejpam-6364	291	4	.	.	PROPN
ejpam-6364	291	5	math	math	PROPN
ejpam-6364	291	6	,	,	PUNCT
ejpam-6364	291	7	18	18	NUM
ejpam-6364	291	8	(	(	PUNCT
ejpam-6364	291	9	4	4	NUM
ejpam-6364	291	10	)	)	PUNCT
ejpam-6364	291	11	(	(	PUNCT
ejpam-6364	291	12	2025	2025	NUM
ejpam-6364	291	13	)	)	PUNCT
ejpam-6364	291	14	,	,	PUNCT
ejpam-6364	291	15	6364	6364	NUM
ejpam-6364	291	16	18	18	NUM
ejpam-6364	291	17	of	of	ADP
ejpam-6364	291	18	23	23	NUM
ejpam-6364	291	19	this	this	PRON
ejpam-6364	291	20	implies	imply	VERB
ejpam-6364	291	21	,	,	PUNCT
ejpam-6364	291	22	lim	lim	NOUN
ejpam-6364	291	23	t→∞	t→∞	PRON
ejpam-6364	291	24	sup	sup	NOUN
ejpam-6364	291	25	lni(t	lni(t	PROPN
ejpam-6364	291	26	)	)	PUNCT
ejpam-6364	291	27	t	t	PROPN
ejpam-6364	291	28	≤	≤	NUM
ejpam-6364	291	29	(	(	PUNCT
ejpam-6364	291	30	kb	kb	PROPN
ejpam-6364	291	31	d0	d0	PROPN
ejpam-6364	291	32	−	−	PROPN
ejpam-6364	292	1	(	(	PUNCT
ejpam-6364	292	2	α+	α+	X
ejpam-6364	292	3	µ+	µ+	X
ejpam-6364	292	4	d0)−	d0)−	PROPN
ejpam-6364	292	5	1	1	NUM
ejpam-6364	292	6	2	2	NUM
ejpam-6364	292	7	(	(	PUNCT
ejpam-6364	292	8	φ21s	φ21s	X
ejpam-6364	293	1	+	+	NOUN
ejpam-6364	293	2	φ22	φ22	NOUN
ejpam-6364	293	3	)	)	PUNCT
ejpam-6364	293	4	2	2	NUM
ejpam-6364	293	5	)	)	PUNCT
ejpam-6364	293	6	dt	dt	X
ejpam-6364	293	7	<	<	X
ejpam-6364	293	8	0	0	X
ejpam-6364	293	9	.	.	PUNCT
ejpam-6364	294	1	=	=	PRON
ejpam-6364	294	2	(	(	PUNCT
ejpam-6364	294	3	α+	α+	X
ejpam-6364	294	4	µ+	µ+	X
ejpam-6364	294	5	d0	d0	NOUN
ejpam-6364	294	6	)	)	PUNCT
ejpam-6364	294	7	(	(	PUNCT
ejpam-6364	294	8	kb	kb	PROPN
ejpam-6364	294	9	d0(α+	d0(α+	PROPN
ejpam-6364	294	10	µ+	µ+	NOUN
ejpam-6364	294	11	d0	d0	NOUN
ejpam-6364	294	12	)	)	PUNCT
ejpam-6364	294	13	−	−	PROPN
ejpam-6364	294	14	(	(	PUNCT
ejpam-6364	294	15	φ21s	φ21s	PRON
ejpam-6364	295	1	+	+	NOUN
ejpam-6364	295	2	φ22	φ22	NOUN
ejpam-6364	295	3	)	)	PUNCT
ejpam-6364	295	4	2	2	NUM
ejpam-6364	295	5	2(α+	2(α+	NUM
ejpam-6364	295	6	µ+	µ+	DET
ejpam-6364	295	7	d0	d0	NOUN
ejpam-6364	295	8	)	)	PUNCT
ejpam-6364	295	9	−	−	PROPN
ejpam-6364	295	10	1	1	NUM
ejpam-6364	295	11	)	)	PUNCT
ejpam-6364	295	12	<	<	X
ejpam-6364	295	13	0	0	X
ejpam-6364	295	14	.	.	PUNCT
ejpam-6364	295	15	=	=	PRON
ejpam-6364	296	1	(	(	PUNCT
ejpam-6364	296	2	α+	α+	X
ejpam-6364	296	3	µ+	µ+	X
ejpam-6364	296	4	d0)(rs	d0)(rs	NOUN
ejpam-6364	296	5	1	1	NUM
ejpam-6364	296	6	−	−	NOUN
ejpam-6364	296	7	1	1	NUM
ejpam-6364	296	8	)	)	PUNCT
ejpam-6364	296	9	.	.	PUNCT
ejpam-6364	297	1	we	we	PRON
ejpam-6364	297	2	know	know	VERB
ejpam-6364	297	3	(	(	PUNCT
ejpam-6364	297	4	α+	α+	X
ejpam-6364	297	5	µ+	µ+	X
ejpam-6364	297	6	d0	d0	NOUN
ejpam-6364	297	7	)	)	PUNCT
ejpam-6364	297	8	>	>	X
ejpam-6364	298	1	0	0	NUM
ejpam-6364	298	2	,	,	PUNCT
ejpam-6364	298	3	therefore	therefore	ADV
ejpam-6364	298	4	(	(	PUNCT
ejpam-6364	298	5	rs	rs	NOUN
ejpam-6364	298	6	1	1	NUM
ejpam-6364	298	7	−	−	NOUN
ejpam-6364	298	8	1	1	NUM
ejpam-6364	298	9	)	)	PUNCT
ejpam-6364	298	10	<	<	X
ejpam-6364	298	11	0	0	NUM
ejpam-6364	298	12	,	,	PUNCT
ejpam-6364	298	13	implies	imply	VERB
ejpam-6364	298	14	rs	r	NOUN
ejpam-6364	298	15	1	1	NUM
ejpam-6364	298	16	<	<	X
ejpam-6364	298	17	1	1	NUM
ejpam-6364	298	18	.	.	PUNCT
ejpam-6364	299	1	therefore	therefore	ADV
ejpam-6364	299	2	,	,	PUNCT
ejpam-6364	299	3	if	if	SCONJ
ejpam-6364	299	4	rs	rs	ADP
ejpam-6364	299	5	1	1	NUM
ejpam-6364	299	6	<	<	X
ejpam-6364	299	7	1	1	NUM
ejpam-6364	299	8	,	,	PUNCT
ejpam-6364	299	9	then	then	ADV
ejpam-6364	299	10	the	the	DET
ejpam-6364	299	11	dfe	dfe	PROPN
ejpam-6364	299	12	point	point	NOUN
ejpam-6364	299	13	e0	e0	PROPN
ejpam-6364	299	14	is	be	AUX
ejpam-6364	299	15	locally	locally	ADV
ejpam-6364	299	16	asymptotically	asymptotically	ADV
ejpam-6364	299	17	stable	stable	ADJ
ejpam-6364	299	18	.	.	PUNCT
ejpam-6364	300	1	9	9	X
ejpam-6364	300	2	.	.	X
ejpam-6364	300	3	numerically	numerically	ADV
ejpam-6364	300	4	analysis	analysis	NOUN
ejpam-6364	300	5	of	of	ADP
ejpam-6364	300	6	the	the	DET
ejpam-6364	300	7	stochastic	stochastic	ADJ
ejpam-6364	300	8	model	model	NOUN
ejpam-6364	300	9	using	use	VERB
ejpam-6364	300	10	the	the	DET
ejpam-6364	300	11	euler	euler	NOUN
ejpam-6364	300	12	-	-	PUNCT
ejpam-6364	300	13	maruyama	maruyama	NOUN
ejpam-6364	300	14	approach	approach	NOUN
ejpam-6364	300	15	,	,	PUNCT
ejpam-6364	300	16	the	the	DET
ejpam-6364	300	17	trajectories	trajectory	NOUN
ejpam-6364	300	18	or	or	CCONJ
ejpam-6364	300	19	approximated	approximate	VERB
ejpam-6364	300	20	solutions	solution	NOUN
ejpam-6364	300	21	of	of	ADP
ejpam-6364	300	22	a	a	DET
ejpam-6364	300	23	stochastic	stochastic	ADJ
ejpam-6364	300	24	system	system	NOUN
ejpam-6364	300	25	problem	problem	NOUN
ejpam-6364	300	26	are	be	AUX
ejpam-6364	300	27	found	find	VERB
ejpam-6364	300	28	using	use	VERB
ejpam-6364	300	29	the	the	DET
ejpam-6364	300	30	following	follow	VERB
ejpam-6364	300	31	equation	equation	NOUN
ejpam-6364	300	32	:	:	PUNCT
ejpam-6364	301	1	χti+1	χti+1	PROPN
ejpam-6364	301	2	=	=	SYM
ejpam-6364	302	1	χti	χti	NOUN
ejpam-6364	302	2	+	+	NOUN
ejpam-6364	302	3	α(ti	α(ti	NOUN
ejpam-6364	302	4	,	,	PUNCT
ejpam-6364	302	5	χti	χti	NOUN
ejpam-6364	302	6	)	)	PUNCT
ejpam-6364	303	1	+	+	CCONJ
ejpam-6364	303	2	β(ti	β(ti	PROPN
ejpam-6364	303	3	,	,	PUNCT
ejpam-6364	303	4	χti)∆ai	χti)∆ai	NOUN
ejpam-6364	303	5	.	.	PUNCT
ejpam-6364	304	1	(	(	PUNCT
ejpam-6364	304	2	24	24	NUM
ejpam-6364	304	3	)	)	PUNCT
ejpam-6364	304	4	the	the	DET
ejpam-6364	304	5	case	case	NOUN
ejpam-6364	304	6	where	where	SCONJ
ejpam-6364	304	7	i	i	PRON
ejpam-6364	304	8	=	=	NOUN
ejpam-6364	304	9	0	0	NUM
ejpam-6364	304	10	,	,	PUNCT
ejpam-6364	304	11	1	1	NUM
ejpam-6364	304	12	,	,	PUNCT
ejpam-6364	304	13	...	...	PUNCT
ejpam-6364	304	14	,	,	PUNCT
ejpam-6364	304	15	n	n	CCONJ
ejpam-6364	304	16	−	−	PROPN
ejpam-6364	304	17	1	1	X
ejpam-6364	304	18	.	.	PUNCT
ejpam-6364	305	1	comprehending	comprehend	VERB
ejpam-6364	305	2	the	the	DET
ejpam-6364	305	3	computation	computation	NOUN
ejpam-6364	305	4	of	of	ADP
ejpam-6364	305	5	∆ai	∆ai	NOUN
ejpam-6364	305	6	is	be	AUX
ejpam-6364	305	7	necessary	necessary	ADJ
ejpam-6364	305	8	for	for	ADP
ejpam-6364	305	9	the	the	DET
ejpam-6364	305	10	computational	computational	ADJ
ejpam-6364	305	11	implementation	implementation	NOUN
ejpam-6364	305	12	of	of	ADP
ejpam-6364	305	13	the	the	DET
ejpam-6364	305	14	process	process	NOUN
ejpam-6364	305	15	.	.	PUNCT
ejpam-6364	306	1	instances	instance	NOUN
ejpam-6364	306	2	in	in	ADP
ejpam-6364	306	3	which	which	PRON
ejpam-6364	306	4	i	i	PRON
ejpam-6364	306	5	=	=	NOUN
ejpam-6364	306	6	0	0	NUM
ejpam-6364	306	7	,	,	PUNCT
ejpam-6364	306	8	1	1	NUM
ejpam-6364	306	9	,	,	PUNCT
ejpam-6364	306	10	...	...	PUNCT
ejpam-6364	306	11	,	,	PUNCT
ejpam-6364	306	12	n−1	n−1	PROPN
ejpam-6364	306	13	.	.	PUNCT
ejpam-6364	307	1	the	the	DET
ejpam-6364	307	2	computer	computer	NOUN
ejpam-6364	307	3	implementation	implementation	NOUN
ejpam-6364	307	4	of	of	ADP
ejpam-6364	307	5	the	the	DET
ejpam-6364	307	6	procedure	procedure	NOUN
ejpam-6364	307	7	requires	require	VERB
ejpam-6364	307	8	an	an	DET
ejpam-6364	307	9	understanding	understanding	NOUN
ejpam-6364	307	10	of	of	ADP
ejpam-6364	307	11	how	how	SCONJ
ejpam-6364	307	12	to	to	PART
ejpam-6364	307	13	compute	compute	VERB
ejpam-6364	307	14	of	of	ADP
ejpam-6364	307	15	∆ai	∆ai	NOUN
ejpam-6364	307	16	.	.	PUNCT
ejpam-6364	308	1	suppose	suppose	VERB
ejpam-6364	308	2	that	that	SCONJ
ejpam-6364	308	3	η	η	PROPN
ejpam-6364	308	4	is	be	AUX
ejpam-6364	308	5	a	a	DET
ejpam-6364	308	6	random	random	ADJ
ejpam-6364	308	7	variable	variable	NOUN
ejpam-6364	308	8	with	with	ADP
ejpam-6364	308	9	an	an	DET
ejpam-6364	308	10	average	average	ADJ
ejpam-6364	308	11	η	η	NOUN
ejpam-6364	308	12	∼	∼	NOUN
ejpam-6364	308	13	m(0	m(0	NOUN
ejpam-6364	308	14	,	,	PUNCT
ejpam-6364	308	15	1	1	NUM
ejpam-6364	308	16	)	)	PUNCT
ejpam-6364	308	17	.	.	PUNCT
ejpam-6364	309	1	a	a	DET
ejpam-6364	309	2	normal	normal	ADJ
ejpam-6364	309	3	distribution	distribution	NOUN
ejpam-6364	309	4	is	be	AUX
ejpam-6364	309	5	thus	thus	ADV
ejpam-6364	309	6	indicated	indicate	VERB
ejpam-6364	309	7	by	by	ADP
ejpam-6364	309	8	√	√	PROPN
ejpam-6364	309	9	∆tη1	∆tη1	PROPN
ejpam-6364	309	10	with	with	ADP
ejpam-6364	309	11	zero	zero	NUM
ejpam-6364	309	12	mean	mean	NOUN
ejpam-6364	309	13	and	and	CCONJ
ejpam-6364	309	14	variance	variance	NOUN
ejpam-6364	309	15	∆t	∆t	PROPN
ejpam-6364	309	16	,	,	PUNCT
ejpam-6364	309	17	that	that	SCONJ
ejpam-6364	309	18	is,√	is,√	PROPN
ejpam-6364	309	19	∆tη1	∆tη1	NUM
ejpam-6364	309	20	∼	∼	NOUN
ejpam-6364	309	21	m(0,∆t	m(0,∆t	NOUN
ejpam-6364	309	22	)	)	PUNCT
ejpam-6364	309	23	.	.	PUNCT
ejpam-6364	310	1	the	the	DET
ejpam-6364	310	2	system	system	NOUN
ejpam-6364	310	3	of	of	ADP
ejpam-6364	310	4	dynamic	dynamic	ADJ
ejpam-6364	310	5	differential	differential	ADJ
ejpam-6364	310	6	equations	equation	NOUN
ejpam-6364	310	7	(	(	PUNCT
ejpam-6364	310	8	15	15	NUM
ejpam-6364	310	9	)	)	PUNCT
ejpam-6364	310	10	must	must	AUX
ejpam-6364	310	11	be	be	AUX
ejpam-6364	310	12	appropriately	appropriately	ADV
ejpam-6364	310	13	separated	separate	VERB
ejpam-6364	310	14	for	for	ADP
ejpam-6364	310	15	our	our	PRON
ejpam-6364	310	16	suggested	suggest	VERB
ejpam-6364	310	17	model	model	NOUN
ejpam-6364	310	18	in	in	ADP
ejpam-6364	310	19	order	order	NOUN
ejpam-6364	310	20	to	to	PART
ejpam-6364	310	21	apply	apply	VERB
ejpam-6364	310	22	the	the	DET
ejpam-6364	310	23	euler	euler	NOUN
ejpam-6364	310	24	-	-	PUNCT
ejpam-6364	310	25	maruyama	maruyama	NOUN
ejpam-6364	310	26	approach	approach	NOUN
ejpam-6364	310	27	method	method	NOUN
ejpam-6364	310	28	similarly	similarly	ADV
ejpam-6364	310	29	(	(	PUNCT
ejpam-6364	310	30	24	24	NUM
ejpam-6364	310	31	)	)	PUNCT
ejpam-6364	310	32	.	.	PUNCT
ejpam-6364	311	1	this	this	PRON
ejpam-6364	311	2	can	can	AUX
ejpam-6364	311	3	be	be	AUX
ejpam-6364	311	4	done	do	VERB
ejpam-6364	311	5	by	by	ADP
ejpam-6364	311	6	sti+1	sti+1	X
ejpam-6364	311	7	=	=	SYM
ejpam-6364	311	8	sti	sti	PROPN
ejpam-6364	311	9	+	+	CCONJ
ejpam-6364	311	10	[	[	PUNCT
ejpam-6364	311	11	b−	b−	NOUN
ejpam-6364	311	12	ksi	ksi	PROPN
ejpam-6364	311	13	1+βi	1+βi	NUM
ejpam-6364	311	14	−	−	PROPN
ejpam-6364	311	15	d0s	d0s	PROPN
ejpam-6364	311	16	]	]	PUNCT
ejpam-6364	311	17	∆t+	∆t+	NOUN
ejpam-6364	311	18	√	√	NUM
ejpam-6364	311	19	∆tη1	∆tη1	NUM
ejpam-6364	311	20	,	,	PUNCT
ejpam-6364	311	21	iti+1	iti+1	ADJ
ejpam-6364	312	1	=	=	PROPN
ejpam-6364	312	2	iti	iti	PROPN
ejpam-6364	312	3	+	+	X
ejpam-6364	312	4	[	[	PUNCT
ejpam-6364	312	5	ksi	ksi	PROPN
ejpam-6364	312	6	1+βi	1+βi	NUM
ejpam-6364	312	7	−	−	PROPN
ejpam-6364	312	8	(	(	PUNCT
ejpam-6364	312	9	α+	α+	X
ejpam-6364	312	10	µ+	µ+	X
ejpam-6364	312	11	d0)i	d0)i	PROPN
ejpam-6364	312	12	]	]	PUNCT
ejpam-6364	312	13	∆t+	∆t+	NOUN
ejpam-6364	312	14	√	√	PROPN
ejpam-6364	312	15	∆tη2	∆tη2	NUM
ejpam-6364	312	16	,	,	PUNCT
ejpam-6364	312	17	tti+1	tti+1	PRON
ejpam-6364	312	18	=	=	SYM
ejpam-6364	312	19	tti	tti	PROPN
ejpam-6364	313	1	+	+	PROPN
ejpam-6364	314	1	[	[	X
ejpam-6364	314	2	µi	µi	INTJ
ejpam-6364	314	3	−	−	PROPN
ejpam-6364	314	4	(	(	PUNCT
ejpam-6364	314	5	r	r	NOUN
ejpam-6364	314	6	+	+	X
ejpam-6364	314	7	d0)t	d0)t	ADJ
ejpam-6364	314	8	]	]	PUNCT
ejpam-6364	314	9	∆t+	∆t+	NOUN
ejpam-6364	314	10	√	√	CCONJ
ejpam-6364	314	11	∆tη3	∆tη3	NUM
ejpam-6364	314	12	,	,	PUNCT
ejpam-6364	314	13	rti+1	rti+1	NOUN
ejpam-6364	314	14	=	=	SYM
ejpam-6364	314	15	rti	rti	PROPN
ejpam-6364	314	16	+	+	PROPN
ejpam-6364	315	1	[	[	X
ejpam-6364	315	2	rt	rt	X
ejpam-6364	315	3	+	+	NOUN
ejpam-6364	315	4	αi	αi	VERB
ejpam-6364	315	5	−	−	PROPN
ejpam-6364	315	6	d0r]∆t+	d0r]∆t+	NOUN
ejpam-6364	316	1	√	√	PROPN
ejpam-6364	317	1	∆tη4	∆tη4	PROPN
ejpam-6364	317	2	.	.	PUNCT
ejpam-6364	318	1	(	(	PUNCT
ejpam-6364	318	2	25	25	NUM
ejpam-6364	318	3	)	)	PUNCT
ejpam-6364	318	4	we	we	PRON
ejpam-6364	318	5	consider	consider	VERB
ejpam-6364	318	6	the	the	DET
ejpam-6364	318	7	initial	initial	ADJ
ejpam-6364	318	8	data	datum	NOUN
ejpam-6364	318	9	as	as	SCONJ
ejpam-6364	318	10	given	give	VERB
ejpam-6364	318	11	by	by	ADP
ejpam-6364	318	12	(	(	PUNCT
ejpam-6364	318	13	s(0	s(0	PROPN
ejpam-6364	318	14	)	)	PUNCT
ejpam-6364	318	15	,	,	PUNCT
ejpam-6364	318	16	i(0	i(0	PROPN
ejpam-6364	318	17	)	)	PUNCT
ejpam-6364	318	18	,	,	PUNCT
ejpam-6364	318	19	t	t	PROPN
ejpam-6364	318	20	(	(	PUNCT
ejpam-6364	318	21	0),r(0	0),r(0	PROPN
ejpam-6364	318	22	)	)	PUNCT
ejpam-6364	318	23	)	)	PUNCT
ejpam-6364	319	1	=	=	PUNCT
ejpam-6364	319	2	(	(	PUNCT
ejpam-6364	319	3	800	800	NUM
ejpam-6364	319	4	,	,	PUNCT
ejpam-6364	319	5	700	700	NUM
ejpam-6364	319	6	,	,	PUNCT
ejpam-6364	319	7	500	500	NUM
ejpam-6364	319	8	,	,	PUNCT
ejpam-6364	319	9	200	200	NUM
ejpam-6364	319	10	)	)	PUNCT
ejpam-6364	319	11	and	and	CCONJ
ejpam-6364	319	12	use	use	VERB
ejpam-6364	319	13	the	the	DET
ejpam-6364	319	14	parameters	parameter	NOUN
ejpam-6364	319	15	values	value	NOUN
ejpam-6364	319	16	given	give	VERB
ejpam-6364	319	17	in	in	ADP
ejpam-6364	319	18	table	table	NOUN
ejpam-6364	319	19	3	3	NUM
ejpam-6364	319	20	to	to	PART
ejpam-6364	319	21	simulate	simulate	VERB
ejpam-6364	319	22	the	the	DET
ejpam-6364	319	23	results	result	NOUN
ejpam-6364	319	24	of	of	ADP
ejpam-6364	319	25	stochastic	stochastic	ADJ
ejpam-6364	319	26	model	model	NOUN
ejpam-6364	319	27	in	in	ADP
ejpam-6364	319	28	figure	figure	NOUN
ejpam-6364	319	29	8	8	NUM
ejpam-6364	319	30	.	.	PUNCT
ejpam-6364	320	1	in	in	ADP
ejpam-6364	320	2	addition	addition	NOUN
ejpam-6364	320	3	,	,	PUNCT
ejpam-6364	320	4	we	we	PRON
ejpam-6364	320	5	compare	compare	VERB
ejpam-6364	320	6	the	the	DET
ejpam-6364	320	7	deterministic	deterministic	ADJ
ejpam-6364	320	8	and	and	CCONJ
ejpam-6364	320	9	stochastic	stochastic	ADJ
ejpam-6364	320	10	model	model	NOUN
ejpam-6364	320	11	in	in	ADP
ejpam-6364	320	12	figures	figure	NOUN
ejpam-6364	320	13	9	9	NUM
ejpam-6364	320	14	-	-	SYM
ejpam-6364	320	15	12	12	NUM
ejpam-6364	320	16	respectively	respectively	ADV
ejpam-6364	320	17	of	of	ADP
ejpam-6364	320	18	different	different	ADJ
ejpam-6364	320	19	classes	class	NOUN
ejpam-6364	320	20	.	.	PUNCT
ejpam-6364	321	1	in	in	ADP
ejpam-6364	321	2	the	the	DET
ejpam-6364	321	3	model	model	NOUN
ejpam-6364	321	4	,	,	PUNCT
ejpam-6364	321	5	the	the	DET
ejpam-6364	321	6	susceptible	susceptible	ADJ
ejpam-6364	321	7	population	population	NOUN
ejpam-6364	321	8	gradually	gradually	ADV
ejpam-6364	321	9	decreases	decrease	VERB
ejpam-6364	321	10	as	as	SCONJ
ejpam-6364	321	11	individuals	individual	NOUN
ejpam-6364	321	12	become	become	VERB
ejpam-6364	321	13	infected	infect	VERB
ejpam-6364	321	14	.	.	PUNCT
ejpam-6364	322	1	the	the	DET
ejpam-6364	322	2	number	number	NOUN
ejpam-6364	322	3	of	of	ADP
ejpam-6364	322	4	infected	infected	ADJ
ejpam-6364	322	5	cases	case	NOUN
ejpam-6364	322	6	initially	initially	ADV
ejpam-6364	322	7	rises	rise	VERB
ejpam-6364	322	8	for	for	ADP
ejpam-6364	322	9	a	a	DET
ejpam-6364	322	10	r.	r.	PROPN
ejpam-6364	322	11	ud	ud	AUX
ejpam-6364	322	12	din	din	VERB
ejpam-6364	322	13	et	et	PROPN
ejpam-6364	322	14	al	al	PROPN
ejpam-6364	322	15	.	.	PUNCT
ejpam-6364	322	16	/	/	SYM
ejpam-6364	322	17	eur	eur	PROPN
ejpam-6364	322	18	.	.	PUNCT
ejpam-6364	323	1	j.	j.	PROPN
ejpam-6364	323	2	pure	pure	PROPN
ejpam-6364	323	3	appl	appl	PROPN
ejpam-6364	323	4	.	.	PROPN
ejpam-6364	323	5	math	math	PROPN
ejpam-6364	323	6	,	,	PUNCT
ejpam-6364	323	7	18	18	NUM
ejpam-6364	323	8	(	(	PUNCT
ejpam-6364	323	9	4	4	NUM
ejpam-6364	323	10	)	)	PUNCT
ejpam-6364	323	11	(	(	PUNCT
ejpam-6364	323	12	2025	2025	NUM
ejpam-6364	323	13	)	)	PUNCT
ejpam-6364	323	14	,	,	PUNCT
ejpam-6364	323	15	6364	6364	NUM
ejpam-6364	323	16	19	19	NUM
ejpam-6364	323	17	of	of	ADP
ejpam-6364	323	18	23	23	NUM
ejpam-6364	323	19	time	time	NOUN
ejpam-6364	323	20	(	(	PUNCT
ejpam-6364	323	21	days	day	NOUN
ejpam-6364	323	22	)	)	PUNCT
ejpam-6364	323	23	0	0	NUM
ejpam-6364	323	24	20	20	NUM
ejpam-6364	323	25	40	40	NUM
ejpam-6364	323	26	60	60	NUM
ejpam-6364	323	27	80	80	NUM
ejpam-6364	323	28	100	100	NUM
ejpam-6364	323	29	p	p	NOUN
ejpam-6364	323	30	o	o	X
ejpam-6364	323	31	p	p	X
ejpam-6364	323	32	u	u	X
ejpam-6364	323	33	la	la	X
ejpam-6364	323	34	ti	ti	X
ejpam-6364	323	35	o	o	NOUN
ejpam-6364	323	36	n	n	CCONJ
ejpam-6364	323	37	0	0	NUM
ejpam-6364	323	38	500	500	NUM
ejpam-6364	323	39	1000	1000	NUM
ejpam-6364	323	40	1500	1500	NUM
ejpam-6364	323	41	susceptible	susceptible	ADJ
ejpam-6364	323	42	class	class	NOUN
ejpam-6364	323	43	infected	infect	VERB
ejpam-6364	323	44	class	class	NOUN
ejpam-6364	323	45	treatment	treatment	NOUN
ejpam-6364	323	46	class	class	NOUN
ejpam-6364	323	47	recovered	recover	VERB
ejpam-6364	323	48	class	class	NOUN
ejpam-6364	323	49	figure	figure	NOUN
ejpam-6364	323	50	8	8	NUM
ejpam-6364	323	51	:	:	PUNCT
ejpam-6364	323	52	papulation	papulation	NOUN
ejpam-6364	323	53	dynamics	dynamic	NOUN
ejpam-6364	323	54	of	of	ADP
ejpam-6364	323	55	stochastic	stochastic	ADJ
ejpam-6364	323	56	model	model	NOUN
ejpam-6364	323	57	(	(	PUNCT
ejpam-6364	323	58	15	15	NUM
ejpam-6364	323	59	)	)	PUNCT
ejpam-6364	323	60	.	.	PUNCT
ejpam-6364	324	1	time	time	NOUN
ejpam-6364	324	2	(	(	PUNCT
ejpam-6364	324	3	days	day	NOUN
ejpam-6364	324	4	)	)	PUNCT
ejpam-6364	324	5	0	0	NUM
ejpam-6364	324	6	5	5	NUM
ejpam-6364	324	7	10	10	NUM
ejpam-6364	324	8	15	15	NUM
ejpam-6364	324	9	20	20	NUM
ejpam-6364	324	10	25	25	NUM
ejpam-6364	324	11	s	s	NOUN
ejpam-6364	324	12	u	u	NOUN
ejpam-6364	324	13	s	s	NOUN
ejpam-6364	324	14	c	c	NOUN
ejpam-6364	324	15	ip	ip	NOUN
ejpam-6364	324	16	ta	ta	PROPN
ejpam-6364	324	17	b	b	PROPN
ejpam-6364	324	18	le	le	X
ejpam-6364	324	19	c	c	X
ejpam-6364	324	20	la	la	PROPN
ejpam-6364	324	21	s	s	PROPN
ejpam-6364	324	22	s	s	NOUN
ejpam-6364	324	23	0	0	NUM
ejpam-6364	324	24	200	200	NUM
ejpam-6364	324	25	400	400	NUM
ejpam-6364	324	26	600	600	NUM
ejpam-6364	324	27	800	800	NUM
ejpam-6364	324	28	1000	1000	NUM
ejpam-6364	324	29	stochastic	stochastic	ADJ
ejpam-6364	324	30	deteministic	deteministic	ADJ
ejpam-6364	324	31	figure	figure	NOUN
ejpam-6364	324	32	9	9	NUM
ejpam-6364	324	33	:	:	PUNCT
ejpam-6364	324	34	comparison	comparison	NOUN
ejpam-6364	324	35	between	between	ADP
ejpam-6364	324	36	deterministic	deterministic	ADJ
ejpam-6364	324	37	and	and	CCONJ
ejpam-6364	324	38	stochastic	stochastic	ADJ
ejpam-6364	324	39	numerical	numerical	ADJ
ejpam-6364	324	40	interpretation	interpretation	NOUN
ejpam-6364	324	41	of	of	ADP
ejpam-6364	324	42	susceptible	susceptible	ADJ
ejpam-6364	324	43	class	class	NOUN
ejpam-6364	324	44	under	under	ADP
ejpam-6364	324	45	stochastic	stochastic	ADJ
ejpam-6364	324	46	type	type	NOUN
ejpam-6364	324	47	model	model	NOUN
ejpam-6364	324	48	.	.	PUNCT
ejpam-6364	325	1	period	period	NOUN
ejpam-6364	325	2	of	of	ADP
ejpam-6364	325	3	time	time	NOUN
ejpam-6364	325	4	but	but	CCONJ
ejpam-6364	325	5	then	then	ADV
ejpam-6364	325	6	begins	begin	VERB
ejpam-6364	325	7	to	to	PART
ejpam-6364	325	8	decline	decline	VERB
ejpam-6364	325	9	as	as	SCONJ
ejpam-6364	325	10	treatment	treatment	NOUN
ejpam-6364	325	11	is	be	AUX
ejpam-6364	325	12	introduced	introduce	VERB
ejpam-6364	325	13	.	.	PUNCT
ejpam-6364	326	1	during	during	ADP
ejpam-6364	326	2	this	this	DET
ejpam-6364	326	3	process	process	NOUN
ejpam-6364	326	4	,	,	PUNCT
ejpam-6364	326	5	some	some	DET
ejpam-6364	326	6	individuals	individual	NOUN
ejpam-6364	326	7	recover	recover	VERB
ejpam-6364	326	8	naturally	naturally	ADV
ejpam-6364	326	9	without	without	ADP
ejpam-6364	326	10	treatment	treatment	NOUN
ejpam-6364	326	11	,	,	PUNCT
ejpam-6364	326	12	while	while	SCONJ
ejpam-6364	326	13	others	other	NOUN
ejpam-6364	326	14	recover	recover	VERB
ejpam-6364	326	15	after	after	ADP
ejpam-6364	326	16	receiving	receive	VERB
ejpam-6364	326	17	treatment	treatment	NOUN
ejpam-6364	326	18	.	.	PUNCT
ejpam-6364	327	1	as	as	ADP
ejpam-6364	327	2	a	a	DET
ejpam-6364	327	3	result	result	NOUN
ejpam-6364	327	4	,	,	PUNCT
ejpam-6364	327	5	the	the	DET
ejpam-6364	327	6	recovered	recovered	ADJ
ejpam-6364	327	7	population	population	NOUN
ejpam-6364	327	8	increases	increase	VERB
ejpam-6364	327	9	steadily	steadily	ADV
ejpam-6364	327	10	and	and	CCONJ
ejpam-6364	327	11	grows	grow	VERB
ejpam-6364	327	12	rapidly	rapidly	ADV
ejpam-6364	327	13	over	over	ADP
ejpam-6364	327	14	time	time	NOUN
ejpam-6364	327	15	.	.	PUNCT
ejpam-6364	328	1	furthermore	furthermore	ADV
ejpam-6364	328	2	,	,	PUNCT
ejpam-6364	328	3	a	a	DET
ejpam-6364	328	4	comparison	comparison	NOUN
ejpam-6364	328	5	between	between	ADP
ejpam-6364	328	6	the	the	DET
ejpam-6364	328	7	numerical	numerical	ADJ
ejpam-6364	328	8	results	result	NOUN
ejpam-6364	328	9	of	of	ADP
ejpam-6364	328	10	the	the	DET
ejpam-6364	328	11	stochastic	stochastic	ADJ
ejpam-6364	328	12	and	and	CCONJ
ejpam-6364	328	13	deterministic	deterministic	ADJ
ejpam-6364	328	14	models	model	NOUN
ejpam-6364	328	15	shows	show	VERB
ejpam-6364	328	16	that	that	SCONJ
ejpam-6364	328	17	both	both	DET
ejpam-6364	328	18	approaches	approach	NOUN
ejpam-6364	328	19	are	be	AUX
ejpam-6364	328	20	in	in	ADP
ejpam-6364	328	21	close	close	ADJ
ejpam-6364	328	22	agreement	agreement	NOUN
ejpam-6364	328	23	,	,	PUNCT
ejpam-6364	328	24	confirming	confirm	VERB
ejpam-6364	328	25	the	the	DET
ejpam-6364	328	26	reliability	reliability	NOUN
ejpam-6364	328	27	of	of	ADP
ejpam-6364	328	28	the	the	DET
ejpam-6364	328	29	simulations	simulation	NOUN
ejpam-6364	328	30	.	.	PUNCT
ejpam-6364	329	1	10	10	NUM
ejpam-6364	329	2	.	.	X
ejpam-6364	329	3	conclusion	conclusion	NOUN
ejpam-6364	329	4	in	in	ADP
ejpam-6364	329	5	recent	recent	ADJ
ejpam-6364	329	6	years	year	NOUN
ejpam-6364	329	7	,	,	PUNCT
ejpam-6364	329	8	eye	eye	NOUN
ejpam-6364	329	9	infectious	infectious	ADJ
ejpam-6364	329	10	diseases	disease	NOUN
ejpam-6364	329	11	have	have	AUX
ejpam-6364	329	12	attracted	attract	VERB
ejpam-6364	329	13	increasing	increase	VERB
ejpam-6364	329	14	attention	attention	NOUN
ejpam-6364	329	15	in	in	ADP
ejpam-6364	329	16	research	research	NOUN
ejpam-6364	329	17	,	,	PUNCT
ejpam-6364	329	18	highlighting	highlight	VERB
ejpam-6364	329	19	the	the	DET
ejpam-6364	329	20	need	need	NOUN
ejpam-6364	329	21	for	for	ADP
ejpam-6364	329	22	new	new	ADJ
ejpam-6364	329	23	mathematical	mathematical	ADJ
ejpam-6364	329	24	frameworks	framework	NOUN
ejpam-6364	329	25	to	to	PART
ejpam-6364	329	26	study	study	VERB
ejpam-6364	329	27	their	their	PRON
ejpam-6364	329	28	dynamics	dynamic	NOUN
ejpam-6364	329	29	from	from	ADP
ejpam-6364	329	30	multiple	multiple	ADJ
ejpam-6364	329	31	perspectives	perspective	NOUN
ejpam-6364	329	32	.	.	PUNCT
ejpam-6364	330	1	in	in	ADP
ejpam-6364	330	2	this	this	DET
ejpam-6364	330	3	work	work	NOUN
ejpam-6364	330	4	,	,	PUNCT
ejpam-6364	330	5	we	we	PRON
ejpam-6364	330	6	developed	develop	VERB
ejpam-6364	330	7	and	and	CCONJ
ejpam-6364	330	8	analyzed	analyze	VERB
ejpam-6364	330	9	a	a	DET
ejpam-6364	330	10	mathematical	mathematical	ADJ
ejpam-6364	330	11	model	model	NOUN
ejpam-6364	330	12	of	of	ADP
ejpam-6364	330	13	eye	eye	NOUN
ejpam-6364	330	14	infections	infection	NOUN
ejpam-6364	330	15	using	use	VERB
ejpam-6364	330	16	both	both	CCONJ
ejpam-6364	330	17	deterministic	deterministic	ADJ
ejpam-6364	330	18	and	and	CCONJ
ejpam-6364	330	19	stochastic	stochastic	ADJ
ejpam-6364	330	20	approaches	approach	NOUN
ejpam-6364	330	21	.	.	PUNCT
ejpam-6364	331	1	key	key	ADJ
ejpam-6364	331	2	analyses	analysis	NOUN
ejpam-6364	331	3	were	be	AUX
ejpam-6364	331	4	conducted	conduct	VERB
ejpam-6364	331	5	,	,	PUNCT
ejpam-6364	331	6	including	include	VERB
ejpam-6364	331	7	the	the	DET
ejpam-6364	331	8	computation	computation	NOUN
ejpam-6364	331	9	of	of	ADP
ejpam-6364	331	10	disease	disease	NOUN
ejpam-6364	331	11	-	-	PUNCT
ejpam-6364	331	12	free	free	ADJ
ejpam-6364	331	13	and	and	CCONJ
ejpam-6364	331	14	endemic	endemic	ADJ
ejpam-6364	331	15	equilibria	equilibrium	NOUN
ejpam-6364	331	16	,	,	PUNCT
ejpam-6364	331	17	as	as	ADV
ejpam-6364	331	18	well	well	ADV
ejpam-6364	331	19	as	as	ADP
ejpam-6364	331	20	the	the	DET
ejpam-6364	331	21	derivation	derivation	NOUN
ejpam-6364	331	22	of	of	ADP
ejpam-6364	331	23	the	the	DET
ejpam-6364	331	24	basic	basic	ADJ
ejpam-6364	331	25	reproduction	reproduction	NOUN
ejpam-6364	331	26	numbers	number	NOUN
ejpam-6364	331	27	for	for	ADP
ejpam-6364	331	28	both	both	DET
ejpam-6364	331	29	models	model	NOUN
ejpam-6364	331	30	.	.	PUNCT
ejpam-6364	332	1	theoretical	theoretical	ADJ
ejpam-6364	332	2	results	result	NOUN
ejpam-6364	332	3	on	on	ADP
ejpam-6364	332	4	existence	existence	NOUN
ejpam-6364	332	5	and	and	CCONJ
ejpam-6364	332	6	stability	stability	NOUN
ejpam-6364	332	7	were	be	AUX
ejpam-6364	332	8	established	establish	VERB
ejpam-6364	332	9	using	use	VERB
ejpam-6364	332	10	tools	tool	NOUN
ejpam-6364	332	11	from	from	ADP
ejpam-6364	332	12	nonlinear	nonlinear	ADJ
ejpam-6364	332	13	analysis	analysis	NOUN
ejpam-6364	332	14	.	.	PUNCT
ejpam-6364	333	1	for	for	ADP
ejpam-6364	333	2	the	the	DET
ejpam-6364	333	3	r.	r.	PROPN
ejpam-6364	333	4	ud	ud	AUX
ejpam-6364	333	5	din	din	VERB
ejpam-6364	333	6	et	et	PROPN
ejpam-6364	333	7	al	al	PROPN
ejpam-6364	333	8	.	.	PUNCT
ejpam-6364	333	9	/	/	SYM
ejpam-6364	333	10	eur	eur	PROPN
ejpam-6364	333	11	.	.	PUNCT
ejpam-6364	334	1	j.	j.	PROPN
ejpam-6364	334	2	pure	pure	PROPN
ejpam-6364	334	3	appl	appl	PROPN
ejpam-6364	334	4	.	.	PROPN
ejpam-6364	334	5	math	math	PROPN
ejpam-6364	334	6	,	,	PUNCT
ejpam-6364	334	7	18	18	NUM
ejpam-6364	334	8	(	(	PUNCT
ejpam-6364	334	9	4	4	NUM
ejpam-6364	334	10	)	)	PUNCT
ejpam-6364	334	11	(	(	PUNCT
ejpam-6364	334	12	2025	2025	NUM
ejpam-6364	334	13	)	)	PUNCT
ejpam-6364	334	14	,	,	PUNCT
ejpam-6364	334	15	6364	6364	NUM
ejpam-6364	334	16	20	20	NUM
ejpam-6364	334	17	of	of	ADP
ejpam-6364	334	18	23	23	NUM
ejpam-6364	334	19	time	time	NOUN
ejpam-6364	334	20	(	(	PUNCT
ejpam-6364	334	21	days	day	NOUN
ejpam-6364	334	22	)	)	PUNCT
ejpam-6364	334	23	0	0	NUM
ejpam-6364	334	24	5	5	NUM
ejpam-6364	334	25	10	10	NUM
ejpam-6364	334	26	15	15	NUM
ejpam-6364	334	27	20	20	NUM
ejpam-6364	334	28	25	25	NUM
ejpam-6364	334	29	in	in	ADP
ejpam-6364	334	30	fe	fe	X
ejpam-6364	334	31	c	c	X
ejpam-6364	334	32	te	te	PROPN
ejpam-6364	334	33	d	d	X
ejpam-6364	334	34	c	c	X
ejpam-6364	334	35	la	la	PROPN
ejpam-6364	334	36	s	s	PROPN
ejpam-6364	334	37	s	s	PART
ejpam-6364	334	38	500	500	NUM
ejpam-6364	334	39	1000	1000	NUM
ejpam-6364	334	40	1500	1500	NUM
ejpam-6364	334	41	2000	2000	NUM
ejpam-6364	334	42	2500	2500	NUM
ejpam-6364	334	43	3000	3000	NUM
ejpam-6364	334	44	stochastic	stochastic	ADJ
ejpam-6364	334	45	deteministic	deteministic	ADJ
ejpam-6364	334	46	figure	figure	NOUN
ejpam-6364	334	47	10	10	NUM
ejpam-6364	334	48	:	:	PUNCT
ejpam-6364	334	49	comparison	comparison	NOUN
ejpam-6364	334	50	between	between	ADP
ejpam-6364	334	51	deterministic	deterministic	ADJ
ejpam-6364	334	52	and	and	CCONJ
ejpam-6364	334	53	stochastic	stochastic	ADJ
ejpam-6364	334	54	numerical	numerical	ADJ
ejpam-6364	334	55	interpretation	interpretation	NOUN
ejpam-6364	334	56	of	of	ADP
ejpam-6364	334	57	infected	infected	ADJ
ejpam-6364	334	58	class	class	NOUN
ejpam-6364	334	59	under	under	ADP
ejpam-6364	334	60	stochastic	stochastic	ADJ
ejpam-6364	334	61	type	type	NOUN
ejpam-6364	334	62	model	model	NOUN
ejpam-6364	334	63	.	.	PUNCT
ejpam-6364	335	1	time	time	NOUN
ejpam-6364	335	2	(	(	PUNCT
ejpam-6364	335	3	days	day	NOUN
ejpam-6364	335	4	)	)	PUNCT
ejpam-6364	335	5	0	0	NUM
ejpam-6364	335	6	5	5	NUM
ejpam-6364	335	7	10	10	NUM
ejpam-6364	335	8	15	15	NUM
ejpam-6364	335	9	20	20	NUM
ejpam-6364	335	10	25	25	NUM
ejpam-6364	335	11	t	t	PROPN
ejpam-6364	335	12	re	re	VERB
ejpam-6364	335	13	a	a	DET
ejpam-6364	335	14	tm	tm	NOUN
ejpam-6364	335	15	e	e	PROPN
ejpam-6364	335	16	n	n	NOUN
ejpam-6364	335	17	t	t	PROPN
ejpam-6364	335	18	c	c	X
ejpam-6364	335	19	la	la	PROPN
ejpam-6364	335	20	s	s	PROPN
ejpam-6364	335	21	s	s	NOUN
ejpam-6364	335	22	0	0	NUM
ejpam-6364	335	23	500	500	NUM
ejpam-6364	335	24	1000	1000	NUM
ejpam-6364	335	25	1500	1500	NUM
ejpam-6364	335	26	2000	2000	NUM
ejpam-6364	335	27	stochastic	stochastic	ADJ
ejpam-6364	335	28	deteministic	deteministic	ADJ
ejpam-6364	335	29	figure	figure	NOUN
ejpam-6364	335	30	11	11	NUM
ejpam-6364	335	31	:	:	PUNCT
ejpam-6364	335	32	comparison	comparison	NOUN
ejpam-6364	335	33	between	between	ADP
ejpam-6364	335	34	deterministic	deterministic	ADJ
ejpam-6364	335	35	and	and	CCONJ
ejpam-6364	335	36	stochastic	stochastic	ADJ
ejpam-6364	335	37	numerical	numerical	ADJ
ejpam-6364	335	38	interpretation	interpretation	NOUN
ejpam-6364	335	39	of	of	ADP
ejpam-6364	335	40	treatment	treatment	NOUN
ejpam-6364	335	41	class	class	NOUN
ejpam-6364	335	42	under	under	ADP
ejpam-6364	335	43	stochastic	stochastic	ADJ
ejpam-6364	335	44	type	type	NOUN
ejpam-6364	335	45	model	model	NOUN
ejpam-6364	335	46	.	.	PUNCT
ejpam-6364	336	1	deterministic	deterministic	ADJ
ejpam-6364	336	2	model	model	NOUN
ejpam-6364	336	3	,	,	PUNCT
ejpam-6364	336	4	a	a	DET
ejpam-6364	336	5	nonstandard	nonstandard	ADJ
ejpam-6364	336	6	finite	finite	ADJ
ejpam-6364	336	7	difference	difference	NOUN
ejpam-6364	336	8	(	(	PUNCT
ejpam-6364	336	9	nsfd	nsfd	ADJ
ejpam-6364	336	10	)	)	PUNCT
ejpam-6364	336	11	scheme	scheme	NOUN
ejpam-6364	336	12	was	be	AUX
ejpam-6364	336	13	employed	employ	VERB
ejpam-6364	336	14	,	,	PUNCT
ejpam-6364	336	15	while	while	SCONJ
ejpam-6364	336	16	for	for	ADP
ejpam-6364	336	17	the	the	DET
ejpam-6364	336	18	stochastic	stochastic	ADJ
ejpam-6364	336	19	model	model	NOUN
ejpam-6364	336	20	,	,	PUNCT
ejpam-6364	336	21	a	a	DET
ejpam-6364	336	22	robust	robust	ADJ
ejpam-6364	336	23	numerical	numerical	ADJ
ejpam-6364	336	24	algorithm	algorithm	NOUN
ejpam-6364	336	25	was	be	AUX
ejpam-6364	336	26	implemented	implement	VERB
ejpam-6364	336	27	.	.	PUNCT
ejpam-6364	337	1	numerical	numerical	ADJ
ejpam-6364	337	2	simulations	simulation	NOUN
ejpam-6364	337	3	and	and	CCONJ
ejpam-6364	337	4	graphical	graphical	ADJ
ejpam-6364	337	5	illustrations	illustration	NOUN
ejpam-6364	337	6	were	be	AUX
ejpam-6364	337	7	provided	provide	VERB
ejpam-6364	337	8	,	,	PUNCT
ejpam-6364	337	9	and	and	CCONJ
ejpam-6364	337	10	a	a	DET
ejpam-6364	337	11	comparison	comparison	NOUN
ejpam-6364	337	12	between	between	ADP
ejpam-6364	337	13	the	the	DET
ejpam-6364	337	14	two	two	NUM
ejpam-6364	337	15	modeling	modeling	NOUN
ejpam-6364	337	16	approaches	approach	NOUN
ejpam-6364	337	17	demonstrated	demonstrate	VERB
ejpam-6364	337	18	close	close	ADJ
ejpam-6364	337	19	agreement	agreement	NOUN
ejpam-6364	337	20	,	,	PUNCT
ejpam-6364	337	21	thereby	thereby	ADV
ejpam-6364	337	22	validating	validate	VERB
ejpam-6364	337	23	the	the	DET
ejpam-6364	337	24	accuracy	accuracy	NOUN
ejpam-6364	337	25	and	and	CCONJ
ejpam-6364	337	26	reliability	reliability	NOUN
ejpam-6364	337	27	of	of	ADP
ejpam-6364	337	28	the	the	DET
ejpam-6364	337	29	proposed	propose	VERB
ejpam-6364	337	30	methodology	methodology	NOUN
ejpam-6364	337	31	.	.	PUNCT
ejpam-6364	338	1	overall	overall	ADV
ejpam-6364	338	2	,	,	PUNCT
ejpam-6364	338	3	this	this	DET
ejpam-6364	338	4	study	study	NOUN
ejpam-6364	338	5	offers	offer	VERB
ejpam-6364	338	6	valuable	valuable	ADJ
ejpam-6364	338	7	insights	insight	NOUN
ejpam-6364	338	8	into	into	ADP
ejpam-6364	338	9	the	the	DET
ejpam-6364	338	10	transmission	transmission	NOUN
ejpam-6364	338	11	dynamics	dynamic	NOUN
ejpam-6364	338	12	of	of	ADP
ejpam-6364	338	13	eye	eye	NOUN
ejpam-6364	338	14	infections	infection	NOUN
ejpam-6364	338	15	and	and	CCONJ
ejpam-6364	338	16	provides	provide	VERB
ejpam-6364	338	17	a	a	DET
ejpam-6364	338	18	solid	solid	ADJ
ejpam-6364	338	19	foundation	foundation	NOUN
ejpam-6364	338	20	for	for	ADP
ejpam-6364	338	21	future	future	ADJ
ejpam-6364	338	22	investigations	investigation	NOUN
ejpam-6364	338	23	and	and	CCONJ
ejpam-6364	338	24	control	control	NOUN
ejpam-6364	338	25	strategies	strategy	NOUN
ejpam-6364	338	26	.	.	PUNCT
ejpam-6364	339	1	acknowledgements	acknowledgement	NOUN
ejpam-6364	339	2	the	the	DET
ejpam-6364	339	3	authors	author	NOUN
ejpam-6364	339	4	would	would	AUX
ejpam-6364	339	5	like	like	VERB
ejpam-6364	339	6	to	to	PART
ejpam-6364	339	7	acknowledge	acknowledge	VERB
ejpam-6364	339	8	the	the	DET
ejpam-6364	339	9	support	support	NOUN
ejpam-6364	339	10	of	of	ADP
ejpam-6364	339	11	prince	prince	PROPN
ejpam-6364	339	12	sultan	sultan	PROPN
ejpam-6364	339	13	university	university	PROPN
ejpam-6364	339	14	for	for	ADP
ejpam-6364	339	15	paying	pay	VERB
ejpam-6364	339	16	the	the	DET
ejpam-6364	339	17	article	article	NOUN
ejpam-6364	339	18	processing	processing	NOUN
ejpam-6364	339	19	charges	charge	NOUN
ejpam-6364	339	20	(	(	PUNCT
ejpam-6364	339	21	apc	apc	PROPN
ejpam-6364	339	22	)	)	PUNCT
ejpam-6364	339	23	of	of	ADP
ejpam-6364	339	24	this	this	DET
ejpam-6364	339	25	publication	publication	NOUN
ejpam-6364	339	26	.	.	PUNCT
ejpam-6364	340	1	r.	r.	PROPN
ejpam-6364	340	2	ud	ud	AUX
ejpam-6364	340	3	din	din	VERB
ejpam-6364	340	4	et	et	PROPN
ejpam-6364	340	5	al	al	PROPN
ejpam-6364	340	6	.	.	PUNCT
ejpam-6364	340	7	/	/	SYM
ejpam-6364	340	8	eur	eur	PROPN
ejpam-6364	340	9	.	.	PUNCT
ejpam-6364	341	1	j.	j.	PROPN
ejpam-6364	341	2	pure	pure	PROPN
ejpam-6364	341	3	appl	appl	PROPN
ejpam-6364	341	4	.	.	PROPN
ejpam-6364	341	5	math	math	PROPN
ejpam-6364	341	6	,	,	PUNCT
ejpam-6364	341	7	18	18	NUM
ejpam-6364	341	8	(	(	PUNCT
ejpam-6364	341	9	4	4	NUM
ejpam-6364	341	10	)	)	PUNCT
ejpam-6364	341	11	(	(	PUNCT
ejpam-6364	341	12	2025	2025	NUM
ejpam-6364	341	13	)	)	PUNCT
ejpam-6364	341	14	,	,	PUNCT
ejpam-6364	341	15	6364	6364	NUM
ejpam-6364	341	16	21	21	NUM
ejpam-6364	341	17	of	of	ADP
ejpam-6364	341	18	23	23	NUM
ejpam-6364	341	19	time	time	NOUN
ejpam-6364	341	20	(	(	PUNCT
ejpam-6364	341	21	days	day	NOUN
ejpam-6364	341	22	)	)	PUNCT
ejpam-6364	341	23	0	0	NUM
ejpam-6364	341	24	5	5	NUM
ejpam-6364	341	25	10	10	NUM
ejpam-6364	341	26	15	15	NUM
ejpam-6364	341	27	20	20	NUM
ejpam-6364	341	28	25	25	NUM
ejpam-6364	341	29	r	r	NOUN
ejpam-6364	341	30	e	e	NOUN
ejpam-6364	341	31	c	c	NOUN
ejpam-6364	341	32	o	o	X
ejpam-6364	341	33	v	v	X
ejpam-6364	341	34	e	e	X
ejpam-6364	341	35	re	re	NOUN
ejpam-6364	341	36	d	d	PROPN
ejpam-6364	341	37	c	c	X
ejpam-6364	341	38	la	la	PROPN
ejpam-6364	341	39	s	s	PROPN
ejpam-6364	341	40	s	s	NOUN
ejpam-6364	341	41	0	0	NUM
ejpam-6364	341	42	200	200	NUM
ejpam-6364	341	43	400	400	NUM
ejpam-6364	341	44	600	600	NUM
ejpam-6364	341	45	800	800	NUM
ejpam-6364	341	46	stochastic	stochastic	ADJ
ejpam-6364	341	47	deteministic	deteministic	ADJ
ejpam-6364	341	48	figure	figure	NOUN
ejpam-6364	341	49	12	12	NUM
ejpam-6364	341	50	:	:	PUNCT
ejpam-6364	341	51	comparison	comparison	NOUN
ejpam-6364	341	52	between	between	ADP
ejpam-6364	341	53	deterministic	deterministic	ADJ
ejpam-6364	341	54	and	and	CCONJ
ejpam-6364	341	55	stochastic	stochastic	ADJ
ejpam-6364	341	56	numerical	numerical	ADJ
ejpam-6364	341	57	interpretation	interpretation	NOUN
ejpam-6364	341	58	of	of	ADP
ejpam-6364	341	59	recovered	recovered	ADJ
ejpam-6364	341	60	class	class	NOUN
ejpam-6364	341	61	under	under	ADP
ejpam-6364	341	62	stochastic	stochastic	ADJ
ejpam-6364	341	63	type	type	NOUN
ejpam-6364	341	64	model	model	NOUN
ejpam-6364	341	65	.	.	PUNCT
ejpam-6364	342	1	references	reference	NOUN
ejpam-6364	342	2	[	[	X
ejpam-6364	342	3	1	1	NUM
ejpam-6364	342	4	]	]	X
ejpam-6364	342	5	ching	ching	PROPN
ejpam-6364	342	6	-	-	PUNCT
ejpam-6364	342	7	shan	shan	PROPN
ejpam-6364	342	8	chou	chou	PROPN
ejpam-6364	342	9	and	and	CCONJ
ejpam-6364	342	10	avner	avner	PROPN
ejpam-6364	342	11	friedman	friedman	PROPN
ejpam-6364	342	12	.	.	PUNCT
ejpam-6364	343	1	introduction	introduction	NOUN
ejpam-6364	343	2	to	to	ADP
ejpam-6364	343	3	mathematical	mathematical	ADJ
ejpam-6364	343	4	biology	biology	NOUN
ejpam-6364	343	5	.	.	PUNCT
ejpam-6364	344	1	2010	2010	NUM
ejpam-6364	344	2	.	.	PUNCT
ejpam-6364	345	1	[	[	X
ejpam-6364	345	2	2	2	NUM
ejpam-6364	345	3	]	]	PUNCT
ejpam-6364	345	4	edward	edward	PROPN
ejpam-6364	345	5	k	k	PROPN
ejpam-6364	345	6	yeargers	yeargers	PROPN
ejpam-6364	345	7	,	,	PUNCT
ejpam-6364	345	8	james	james	PROPN
ejpam-6364	345	9	v	v	PROPN
ejpam-6364	345	10	herod	herod	NOUN
ejpam-6364	345	11	,	,	PUNCT
ejpam-6364	345	12	and	and	CCONJ
ejpam-6364	345	13	ronald	ronald	PROPN
ejpam-6364	345	14	w	w	PROPN
ejpam-6364	345	15	shonkweiler	shonkweiler	PROPN
ejpam-6364	345	16	.	.	PUNCT
ejpam-6364	346	1	an	an	DET
ejpam-6364	346	2	introduction	introduction	NOUN
ejpam-6364	346	3	to	to	ADP
ejpam-6364	346	4	the	the	DET
ejpam-6364	346	5	mathematics	mathematic	NOUN
ejpam-6364	346	6	of	of	ADP
ejpam-6364	346	7	biology	biology	NOUN
ejpam-6364	346	8	:	:	PUNCT
ejpam-6364	346	9	with	with	ADP
ejpam-6364	346	10	computer	computer	NOUN
ejpam-6364	346	11	algebra	algebra	NOUN
ejpam-6364	346	12	models	model	NOUN
ejpam-6364	346	13	.	.	PUNCT
ejpam-6364	347	1	2013	2013	NUM
ejpam-6364	347	2	.	.	PUNCT
ejpam-6364	348	1	[	[	X
ejpam-6364	348	2	3	3	X
ejpam-6364	348	3	]	]	X
ejpam-6364	348	4	kamal	kamal	PROPN
ejpam-6364	348	5	shah	shah	PROPN
ejpam-6364	348	6	,	,	PUNCT
ejpam-6364	348	7	fahd	fahd	PROPN
ejpam-6364	348	8	jarad	jarad	PROPN
ejpam-6364	348	9	,	,	PUNCT
ejpam-6364	348	10	and	and	CCONJ
ejpam-6364	348	11	thabet	thabet	ADJ
ejpam-6364	348	12	abdeljawad	abdeljawad	NOUN
ejpam-6364	348	13	.	.	PUNCT
ejpam-6364	349	1	on	on	ADP
ejpam-6364	349	2	a	a	DET
ejpam-6364	349	3	nonlinear	nonlinear	ADJ
ejpam-6364	349	4	fractional	fractional	ADJ
ejpam-6364	349	5	order	order	NOUN
ejpam-6364	349	6	model	model	NOUN
ejpam-6364	349	7	of	of	ADP
ejpam-6364	349	8	dengue	dengue	NOUN
ejpam-6364	349	9	fever	fever	NOUN
ejpam-6364	349	10	disease	disease	NOUN
ejpam-6364	349	11	under	under	ADP
ejpam-6364	349	12	caputo	caputo	PROPN
ejpam-6364	349	13	-	-	PUNCT
ejpam-6364	349	14	fabrizio	fabrizio	PROPN
ejpam-6364	349	15	derivative	derivative	NOUN
ejpam-6364	349	16	.	.	PUNCT
ejpam-6364	350	1	alexandria	alexandria	PROPN
ejpam-6364	350	2	engineering	engineering	PROPN
ejpam-6364	350	3	journal	journal	PROPN
ejpam-6364	350	4	,	,	PUNCT
ejpam-6364	350	5	59(4):2305–2313	59(4):2305–2313	NUM
ejpam-6364	350	6	,	,	PUNCT
ejpam-6364	350	7	2020	2020	NUM
ejpam-6364	350	8	.	.	PUNCT
ejpam-6364	351	1	[	[	X
ejpam-6364	351	2	4	4	NUM
ejpam-6364	351	3	]	]	X
ejpam-6364	351	4	fazal	fazal	PROPN
ejpam-6364	351	5	haq	haq	PROPN
ejpam-6364	351	6	,	,	PUNCT
ejpam-6364	351	7	kamal	kamal	PROPN
ejpam-6364	351	8	shah	shah	PROPN
ejpam-6364	351	9	,	,	PUNCT
ejpam-6364	351	10	ghaus	ghaus	PROPN
ejpam-6364	351	11	-	-	PUNCT
ejpam-6364	351	12	ur	ur	PROPN
ejpam-6364	351	13	rahman	rahman	PROPN
ejpam-6364	351	14	,	,	PUNCT
ejpam-6364	351	15	and	and	CCONJ
ejpam-6364	351	16	muhammad	muhammad	PROPN
ejpam-6364	351	17	shahzad	shahzad	PROPN
ejpam-6364	351	18	.	.	PUNCT
ejpam-6364	352	1	numerical	numerical	ADJ
ejpam-6364	352	2	analysis	analysis	NOUN
ejpam-6364	352	3	of	of	ADP
ejpam-6364	352	4	fractional	fractional	ADJ
ejpam-6364	352	5	order	order	NOUN
ejpam-6364	352	6	model	model	NOUN
ejpam-6364	352	7	of	of	ADP
ejpam-6364	352	8	hiv-1	hiv-1	ADJ
ejpam-6364	352	9	infection	infection	NOUN
ejpam-6364	352	10	of	of	ADP
ejpam-6364	352	11	cd4	cd4	PROPN
ejpam-6364	352	12	+	+	PROPN
ejpam-6364	352	13	t	t	PROPN
ejpam-6364	352	14	-	-	PUNCT
ejpam-6364	352	15	cells	cell	NOUN
ejpam-6364	352	16	.	.	PUNCT
ejpam-6364	353	1	computational	computational	ADJ
ejpam-6364	353	2	methods	method	NOUN
ejpam-6364	353	3	for	for	ADP
ejpam-6364	353	4	differential	differential	ADJ
ejpam-6364	353	5	equations	equation	NOUN
ejpam-6364	353	6	,	,	PUNCT
ejpam-6364	353	7	5(1):1–11	5(1):1–11	NUM
ejpam-6364	353	8	,	,	PUNCT
ejpam-6364	353	9	2017	2017	NUM
ejpam-6364	353	10	.	.	PUNCT
ejpam-6364	354	1	[	[	X
ejpam-6364	354	2	5	5	X
ejpam-6364	354	3	]	]	X
ejpam-6364	354	4	rahim	rahim	PROPN
ejpam-6364	354	5	ud	ud	INTJ
ejpam-6364	354	6	din	din	PROPN
ejpam-6364	354	7	,	,	PUNCT
ejpam-6364	354	8	kamal	kamal	PROPN
ejpam-6364	354	9	shah	shah	PROPN
ejpam-6364	354	10	,	,	PUNCT
ejpam-6364	354	11	imtiaz	imtiaz	PROPN
ejpam-6364	354	12	ahmad	ahmad	PROPN
ejpam-6364	354	13	,	,	PUNCT
ejpam-6364	354	14	and	and	CCONJ
ejpam-6364	354	15	thabet	thabet	ADJ
ejpam-6364	354	16	abdeljawad	abdeljawad	NOUN
ejpam-6364	354	17	.	.	PUNCT
ejpam-6364	355	1	study	study	NOUN
ejpam-6364	355	2	of	of	ADP
ejpam-6364	355	3	transmission	transmission	NOUN
ejpam-6364	355	4	dynamics	dynamic	NOUN
ejpam-6364	355	5	of	of	ADP
ejpam-6364	355	6	novel	novel	NOUN
ejpam-6364	355	7	covid-19	covid-19	PROPN
ejpam-6364	355	8	by	by	ADP
ejpam-6364	355	9	using	use	VERB
ejpam-6364	355	10	mathematical	mathematical	ADJ
ejpam-6364	355	11	model	model	NOUN
ejpam-6364	355	12	.	.	PUNCT
ejpam-6364	356	1	advances	advance	NOUN
ejpam-6364	356	2	in	in	ADP
ejpam-6364	356	3	difference	difference	NOUN
ejpam-6364	356	4	equations	equation	NOUN
ejpam-6364	356	5	,	,	PUNCT
ejpam-6364	356	6	2020(1):323	2020(1):323	NUM
ejpam-6364	356	7	,	,	PUNCT
ejpam-6364	356	8	2020	2020	NUM
ejpam-6364	356	9	.	.	PUNCT
ejpam-6364	357	1	[	[	X
ejpam-6364	357	2	6	6	NUM
ejpam-6364	357	3	]	]	X
ejpam-6364	357	4	willi	willi	NOUN
ejpam-6364	357	5	jäger	jäger	PROPN
ejpam-6364	357	6	and	and	CCONJ
ejpam-6364	357	7	james	james	PROPN
ejpam-6364	357	8	d	d	PROPN
ejpam-6364	357	9	murray	murray	PROPN
ejpam-6364	357	10	.	.	PUNCT
ejpam-6364	358	1	modelling	modelling	NOUN
ejpam-6364	358	2	of	of	ADP
ejpam-6364	358	3	patterns	pattern	NOUN
ejpam-6364	358	4	in	in	ADP
ejpam-6364	358	5	space	space	NOUN
ejpam-6364	358	6	and	and	CCONJ
ejpam-6364	358	7	time	time	NOUN
ejpam-6364	358	8	:	:	PUNCT
ejpam-6364	358	9	proceedings	proceeding	NOUN
ejpam-6364	358	10	of	of	ADP
ejpam-6364	358	11	a	a	DET
ejpam-6364	358	12	workshop	workshop	NOUN
ejpam-6364	358	13	held	hold	VERB
ejpam-6364	358	14	by	by	ADP
ejpam-6364	358	15	the	the	DET
ejpam-6364	358	16	sonderforschungsbereich	sonderforschungsbereich	PROPN
ejpam-6364	358	17	123	123	NUM
ejpam-6364	358	18	at	at	ADP
ejpam-6364	358	19	heidelberg	heidelberg	PROPN
ejpam-6364	358	20	july	july	PROPN
ejpam-6364	358	21	4–8	4–8	NUM
ejpam-6364	358	22	,	,	PUNCT
ejpam-6364	358	23	1983	1983	NUM
ejpam-6364	358	24	.	.	PUNCT
ejpam-6364	359	1	55	55	NUM
ejpam-6364	359	2	,	,	PUNCT
ejpam-6364	359	3	2013	2013	NUM
ejpam-6364	359	4	.	.	PUNCT
ejpam-6364	360	1	[	[	X
ejpam-6364	360	2	7	7	X
ejpam-6364	360	3	]	]	X
ejpam-6364	360	4	sn	sn	PROPN
ejpam-6364	360	5	kyere	kyere	PROPN
ejpam-6364	360	6	,	,	PUNCT
ejpam-6364	360	7	fa	fa	PROPN
ejpam-6364	360	8	boateng	boateng	PROPN
ejpam-6364	360	9	,	,	PUNCT
ejpam-6364	360	10	gf	gf	PROPN
ejpam-6364	360	11	hoggar	hoggar	NOUN
ejpam-6364	360	12	,	,	PUNCT
ejpam-6364	360	13	and	and	CCONJ
ejpam-6364	360	14	p	p	PROPN
ejpam-6364	360	15	jonathan	jonathan	PROPN
ejpam-6364	360	16	.	.	PUNCT
ejpam-6364	361	1	optimal	optimal	ADJ
ejpam-6364	361	2	control	control	NOUN
ejpam-6364	361	3	model	model	NOUN
ejpam-6364	361	4	of	of	ADP
ejpam-6364	361	5	haemorrhagic	haemorrhagic	ADJ
ejpam-6364	361	6	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	361	7	disease	disease	NOUN
ejpam-6364	361	8	.	.	PUNCT
ejpam-6364	362	1	adv	adv	PROPN
ejpam-6364	362	2	.	.	PUNCT
ejpam-6364	363	1	comput	comput	PROPN
ejpam-6364	363	2	.	.	PUNCT
ejpam-6364	364	1	sci	sci	PROPN
ejpam-6364	364	2	.	.	PROPN
ejpam-6364	364	3	,	,	PUNCT
ejpam-6364	364	4	1(2):108	1(2):108	NUM
ejpam-6364	364	5	,	,	PUNCT
ejpam-6364	364	6	2018	2018	NUM
ejpam-6364	364	7	.	.	PUNCT
ejpam-6364	365	1	[	[	X
ejpam-6364	365	2	8	8	NUM
ejpam-6364	365	3	]	]	X
ejpam-6364	365	4	tracy	tracy	PROPN
ejpam-6364	365	5	lee	lee	PROPN
ejpam-6364	365	6	and	and	CCONJ
ejpam-6364	365	7	irene	irene	PROPN
ejpam-6364	365	8	c	c	PROPN
ejpam-6364	365	9	kuo	kuo	PROPN
ejpam-6364	365	10	.	.	PUNCT
ejpam-6364	366	1	survey	survey	NOUN
ejpam-6364	366	2	of	of	ADP
ejpam-6364	366	3	state	state	NOUN
ejpam-6364	366	4	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	366	5	policies	policy	NOUN
ejpam-6364	366	6	for	for	ADP
ejpam-6364	366	7	school	school	NOUN
ejpam-6364	366	8	-	-	PUNCT
ejpam-6364	366	9	age	age	NOUN
ejpam-6364	366	10	students	student	NOUN
ejpam-6364	366	11	.	.	PUNCT
ejpam-6364	367	1	journal	journal	PROPN
ejpam-6364	367	2	of	of	ADP
ejpam-6364	367	3	american	american	PROPN
ejpam-6364	367	4	association	association	PROPN
ejpam-6364	367	5	for	for	ADP
ejpam-6364	367	6	pediatric	pediatric	ADJ
ejpam-6364	367	7	ophthalmology	ophthalmology	NOUN
ejpam-6364	367	8	and	and	CCONJ
ejpam-6364	367	9	strabismus	strabismus	NOUN
ejpam-6364	367	10	,	,	PUNCT
ejpam-6364	367	11	26(3):115	26(3):115	NUM
ejpam-6364	367	12	–	–	PUNCT
ejpam-6364	367	13	e1	e1	NOUN
ejpam-6364	367	14	,	,	PUNCT
ejpam-6364	367	15	2022	2022	NUM
ejpam-6364	367	16	.	.	PUNCT
ejpam-6364	368	1	[	[	X
ejpam-6364	368	2	9	9	NUM
ejpam-6364	368	3	]	]	X
ejpam-6364	368	4	sasha	sasha	PROPN
ejpam-6364	368	5	r	r	PROPN
ejpam-6364	368	6	fehily	fehily	PROPN
ejpam-6364	368	7	,	,	PUNCT
ejpam-6364	368	8	gail	gail	PROPN
ejpam-6364	368	9	b	b	PROPN
ejpam-6364	368	10	cross	cross	PROPN
ejpam-6364	368	11	,	,	PUNCT
ejpam-6364	368	12	and	and	CCONJ
ejpam-6364	368	13	andrew	andrew	PROPN
ejpam-6364	368	14	j	j	PROPN
ejpam-6364	368	15	fuller	fuller	ADV
ejpam-6364	368	16	.	.	PUNCT
ejpam-6364	369	1	bilateral	bilateral	ADJ
ejpam-6364	369	2	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	369	3	in	in	ADP
ejpam-6364	369	4	a	a	DET
ejpam-6364	369	5	returned	return	VERB
ejpam-6364	369	6	traveller	traveller	NOUN
ejpam-6364	369	7	.	.	PUNCT
ejpam-6364	370	1	plos	plos	PROPN
ejpam-6364	370	2	neglected	neglect	VERB
ejpam-6364	370	3	tropical	tropical	ADJ
ejpam-6364	370	4	diseases	disease	NOUN
ejpam-6364	370	5	,	,	PUNCT
ejpam-6364	370	6	9(1):e0003351	9(1):e0003351	NOUN
ejpam-6364	370	7	,	,	PUNCT
ejpam-6364	370	8	2015	2015	NUM
ejpam-6364	370	9	.	.	PUNCT
ejpam-6364	371	1	[	[	X
ejpam-6364	371	2	10	10	NUM
ejpam-6364	371	3	]	]	X
ejpam-6364	371	4	robert	robert	PROPN
ejpam-6364	371	5	h	h	PROPN
ejpam-6364	371	6	elliot	elliot	PROPN
ejpam-6364	371	7	.	.	PUNCT
ejpam-6364	372	1	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	372	2	in	in	ADP
ejpam-6364	372	3	the	the	DET
ejpam-6364	372	4	tropics	tropic	NOUN
ejpam-6364	372	5	.	.	PUNCT
ejpam-6364	373	1	british	british	ADJ
ejpam-6364	373	2	medical	medical	PROPN
ejpam-6364	373	3	journal	journal	PROPN
ejpam-6364	373	4	,	,	PUNCT
ejpam-6364	373	5	1(3340):12	1(3340):12	NUM
ejpam-6364	373	6	,	,	PUNCT
ejpam-6364	373	7	1925	1925	NUM
ejpam-6364	373	8	.	.	PUNCT
ejpam-6364	374	1	[	[	X
ejpam-6364	374	2	11	11	NUM
ejpam-6364	374	3	]	]	X
ejpam-6364	374	4	[	[	X
ejpam-6364	374	5	12	12	NUM
ejpam-6364	374	6	]	]	X
ejpam-6364	374	7	david	david	PROPN
ejpam-6364	374	8	w	w	PROPN
ejpam-6364	374	9	kimberlin	kimberlin	PROPN
ejpam-6364	374	10	.	.	PUNCT
ejpam-6364	375	1	red	red	ADJ
ejpam-6364	375	2	book	book	NOUN
ejpam-6364	375	3	:	:	PUNCT
ejpam-6364	375	4	2018	2018	NUM
ejpam-6364	375	5	-	-	SYM
ejpam-6364	375	6	2021	2021	NUM
ejpam-6364	375	7	report	report	NOUN
ejpam-6364	375	8	of	of	ADP
ejpam-6364	375	9	the	the	DET
ejpam-6364	375	10	committee	committee	NOUN
ejpam-6364	375	11	on	on	ADP
ejpam-6364	375	12	infectious	infectious	ADJ
ejpam-6364	375	13	diseases	disease	NOUN
ejpam-6364	375	14	.	.	PUNCT
ejpam-6364	376	1	number	number	NOUN
ejpam-6364	376	2	ed	ed	NOUN
ejpam-6364	376	3	.	.	PROPN
ejpam-6364	376	4	31	31	NUM
ejpam-6364	376	5	,	,	PUNCT
ejpam-6364	376	6	2018	2018	NUM
ejpam-6364	376	7	.	.	PUNCT
ejpam-6364	377	1	r.	r.	PROPN
ejpam-6364	377	2	ud	ud	AUX
ejpam-6364	377	3	din	din	VERB
ejpam-6364	377	4	et	et	PROPN
ejpam-6364	377	5	al	al	PROPN
ejpam-6364	377	6	.	.	PUNCT
ejpam-6364	377	7	/	/	SYM
ejpam-6364	377	8	eur	eur	PROPN
ejpam-6364	377	9	.	.	PUNCT
ejpam-6364	378	1	j.	j.	PROPN
ejpam-6364	378	2	pure	pure	PROPN
ejpam-6364	378	3	appl	appl	PROPN
ejpam-6364	378	4	.	.	PROPN
ejpam-6364	378	5	math	math	PROPN
ejpam-6364	378	6	,	,	PUNCT
ejpam-6364	378	7	18	18	NUM
ejpam-6364	378	8	(	(	PUNCT
ejpam-6364	378	9	4	4	NUM
ejpam-6364	378	10	)	)	PUNCT
ejpam-6364	378	11	(	(	PUNCT
ejpam-6364	378	12	2025	2025	NUM
ejpam-6364	378	13	)	)	PUNCT
ejpam-6364	378	14	,	,	PUNCT
ejpam-6364	378	15	6364	6364	NUM
ejpam-6364	378	16	22	22	NUM
ejpam-6364	378	17	of	of	ADP
ejpam-6364	378	18	23	23	NUM
ejpam-6364	378	19	[	[	SYM
ejpam-6364	378	20	13	13	NUM
ejpam-6364	378	21	]	]	PUNCT
ejpam-6364	378	22	sireepatch	sireepatch	NOUN
ejpam-6364	378	23	sangsawang	sangsawang	PROPN
ejpam-6364	378	24	,	,	PUNCT
ejpam-6364	378	25	tareerat	tareerat	NOUN
ejpam-6364	378	26	tanutpanit	tanutpanit	NOUN
ejpam-6364	378	27	,	,	PUNCT
ejpam-6364	378	28	wannissa	wannissa	ADJ
ejpam-6364	378	29	mumtong	mumtong	NOUN
ejpam-6364	378	30	,	,	PUNCT
ejpam-6364	378	31	and	and	CCONJ
ejpam-6364	378	32	puntani	puntani	PROPN
ejpam-6364	378	33	pongsumpun	pongsumpun	NOUN
ejpam-6364	378	34	.	.	PUNCT
ejpam-6364	379	1	local	local	ADJ
ejpam-6364	379	2	stability	stability	NOUN
ejpam-6364	379	3	analysis	analysis	NOUN
ejpam-6364	379	4	of	of	ADP
ejpam-6364	379	5	mathematical	mathematical	ADJ
ejpam-6364	379	6	model	model	NOUN
ejpam-6364	379	7	for	for	ADP
ejpam-6364	379	8	hemorrhagic	hemorrhagic	NOUN
ejpam-6364	379	9	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	379	10	disease	disease	NOUN
ejpam-6364	379	11	.	.	PUNCT
ejpam-6364	380	1	current	current	ADJ
ejpam-6364	380	2	applied	apply	VERB
ejpam-6364	380	3	science	science	NOUN
ejpam-6364	380	4	and	and	CCONJ
ejpam-6364	380	5	technology	technology	NOUN
ejpam-6364	380	6	,	,	PUNCT
ejpam-6364	380	7	12(2):189–197	12(2):189–197	PROPN
ejpam-6364	380	8	,	,	PUNCT
ejpam-6364	380	9	2012	2012	NUM
ejpam-6364	380	10	.	.	PUNCT
ejpam-6364	381	1	[	[	X
ejpam-6364	381	2	14	14	NUM
ejpam-6364	381	3	]	]	X
ejpam-6364	381	4	o	o	X
ejpam-6364	381	5	ghazali	ghazali	PROPN
ejpam-6364	381	6	,	,	PUNCT
ejpam-6364	381	7	kb	kb	PROPN
ejpam-6364	381	8	chua	chua	PROPN
ejpam-6364	381	9	,	,	PUNCT
ejpam-6364	381	10	kp	kp	PROPN
ejpam-6364	381	11	ng	ng	PROPN
ejpam-6364	381	12	,	,	PUNCT
ejpam-6364	381	13	ps	ps	PROPN
ejpam-6364	381	14	hooi	hooi	PROPN
ejpam-6364	381	15	,	,	PUNCT
ejpam-6364	381	16	ma	ma	PROPN
ejpam-6364	381	17	pallansch	pallansch	PROPN
ejpam-6364	381	18	,	,	PUNCT
ejpam-6364	381	19	ms	ms	PROPN
ejpam-6364	381	20	oberste	oberste	NOUN
ejpam-6364	381	21	,	,	PUNCT
ejpam-6364	381	22	kh	kh	PROPN
ejpam-6364	381	23	chua	chua	PROPN
ejpam-6364	381	24	,	,	PUNCT
ejpam-6364	381	25	and	and	CCONJ
ejpam-6364	381	26	jw	jw	PROPN
ejpam-6364	381	27	mak	mak	PROPN
ejpam-6364	381	28	.	.	PUNCT
ejpam-6364	382	1	an	an	DET
ejpam-6364	382	2	outbreak	outbreak	NOUN
ejpam-6364	382	3	of	of	ADP
ejpam-6364	382	4	acute	acute	ADJ
ejpam-6364	382	5	haemorrhagic	haemorrhagic	ADJ
ejpam-6364	382	6	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	382	7	in	in	ADP
ejpam-6364	382	8	melaka	melaka	PROPN
ejpam-6364	382	9	,	,	PUNCT
ejpam-6364	382	10	malaysia	malaysia	PROPN
ejpam-6364	382	11	.	.	PUNCT
ejpam-6364	383	1	singapore	singapore	PROPN
ejpam-6364	383	2	med	med	PROPN
ejpam-6364	383	3	j	j	PROPN
ejpam-6364	383	4	,	,	PUNCT
ejpam-6364	383	5	44(10):511–6	44(10):511–6	PROPN
ejpam-6364	383	6	,	,	PUNCT
ejpam-6364	383	7	2003	2003	NUM
ejpam-6364	383	8	.	.	PUNCT
ejpam-6364	384	1	[	[	X
ejpam-6364	384	2	15	15	NUM
ejpam-6364	384	3	]	]	X
ejpam-6364	384	4	j	j	PROPN
ejpam-6364	384	5	chansaenroj	chansaenroj	PROPN
ejpam-6364	384	6	,	,	PUNCT
ejpam-6364	384	7	s	s	PART
ejpam-6364	384	8	vongpunsawad	vongpunsawad	NOUN
ejpam-6364	384	9	,	,	PUNCT
ejpam-6364	384	10	j	j	PROPN
ejpam-6364	384	11	puenpa	puenpa	NOUN
ejpam-6364	384	12	,	,	PUNCT
ejpam-6364	384	13	a	a	DET
ejpam-6364	384	14	theamboonlers	theamboonler	NOUN
ejpam-6364	384	15	,	,	PUNCT
ejpam-6364	384	16	v	v	ADP
ejpam-6364	384	17	vuthitanachot	vuthitanachot	NOUN
ejpam-6364	384	18	,	,	PUNCT
ejpam-6364	384	19	p	p	PROPN
ejpam-6364	384	20	chattakul	chattakul	NOUN
ejpam-6364	384	21	,	,	PUNCT
ejpam-6364	384	22	d	d	X
ejpam-6364	384	23	areechokchai	areechokchai	NOUN
ejpam-6364	384	24	,	,	PUNCT
ejpam-6364	384	25	and	and	CCONJ
ejpam-6364	384	26	y	y	PROPN
ejpam-6364	384	27	poovorawan	poovorawan	PROPN
ejpam-6364	384	28	.	.	PUNCT
ejpam-6364	385	1	epidemic	epidemic	NOUN
ejpam-6364	385	2	outbreak	outbreak	NOUN
ejpam-6364	385	3	of	of	ADP
ejpam-6364	385	4	acute	acute	ADJ
ejpam-6364	385	5	haemorrhagic	haemorrhagic	ADJ
ejpam-6364	385	6	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	385	7	caused	cause	VERB
ejpam-6364	385	8	by	by	ADP
ejpam-6364	385	9	coxsackievirus	coxsackievirus	PROPN
ejpam-6364	385	10	a24	a24	PROPN
ejpam-6364	385	11	in	in	ADP
ejpam-6364	385	12	thailand	thailand	PROPN
ejpam-6364	385	13	,	,	PUNCT
ejpam-6364	385	14	2014	2014	NUM
ejpam-6364	385	15	.	.	PUNCT
ejpam-6364	386	1	epidemiology	epidemiology	NOUN
ejpam-6364	386	2	&	&	CCONJ
ejpam-6364	386	3	infection	infection	NOUN
ejpam-6364	386	4	,	,	PUNCT
ejpam-6364	386	5	143(14):3087–3093	143(14):3087–3093	NUM
ejpam-6364	386	6	,	,	PUNCT
ejpam-6364	386	7	2015	2015	NUM
ejpam-6364	386	8	.	.	PUNCT
ejpam-6364	387	1	[	[	X
ejpam-6364	387	2	16	16	NUM
ejpam-6364	387	3	]	]	X
ejpam-6364	387	4	suratchata	suratchata	PROPN
ejpam-6364	387	5	sangthongjeen	sangthongjeen	NOUN
ejpam-6364	387	6	,	,	PUNCT
ejpam-6364	387	7	anake	anake	NOUN
ejpam-6364	387	8	sudchumnong	sudchumnong	NOUN
ejpam-6364	387	9	,	,	PUNCT
ejpam-6364	387	10	and	and	CCONJ
ejpam-6364	387	11	surapol	surapol	PROPN
ejpam-6364	387	12	naowarat	naowarat	PROPN
ejpam-6364	387	13	.	.	PUNCT
ejpam-6364	388	1	effect	effect	NOUN
ejpam-6364	388	2	of	of	ADP
ejpam-6364	388	3	educationa	educationa	NOUN
ejpam-6364	388	4	campaign	campaign	NOUN
ejpam-6364	388	5	on	on	ADP
ejpam-6364	388	6	tranmission	tranmission	NOUN
ejpam-6364	388	7	model	model	NOUN
ejpam-6364	388	8	of	of	ADP
ejpam-6364	388	9	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	388	10	.	.	PUNCT
ejpam-6364	389	1	australia	australia	PROPN
ejpam-6364	389	2	journal	journal	PROPN
ejpam-6364	389	3	of	of	ADP
ejpam-6364	389	4	basis	basis	NOUN
ejpam-6364	389	5	and	and	CCONJ
ejpam-6364	389	6	applied	apply	VERB
ejpam-6364	389	7	science	science	NOUN
ejpam-6364	389	8	,	,	PUNCT
ejpam-6364	389	9	9(7):811–815	9(7):811–815	NOUN
ejpam-6364	389	10	,	,	PUNCT
ejpam-6364	389	11	2015	2015	NUM
ejpam-6364	389	12	.	.	PUNCT
ejpam-6364	390	1	[	[	X
ejpam-6364	390	2	17	17	NUM
ejpam-6364	390	3	]	]	X
ejpam-6364	390	4	g	g	PROPN
ejpam-6364	390	5	chowell	chowell	PROPN
ejpam-6364	390	6	,	,	PUNCT
ejpam-6364	390	7	e	e	PROPN
ejpam-6364	390	8	shim	shim	NOUN
ejpam-6364	390	9	,	,	PUNCT
ejpam-6364	390	10	fred	fred	PROPN
ejpam-6364	390	11	brauer	brauer	PROPN
ejpam-6364	390	12	,	,	PUNCT
ejpam-6364	390	13	p	p	PROPN
ejpam-6364	390	14	diaz	diaz	PROPN
ejpam-6364	390	15	-	-	PUNCT
ejpam-6364	390	16	dueñas	dueñas	PROPN
ejpam-6364	390	17	,	,	PUNCT
ejpam-6364	390	18	jm	jm	PROPN
ejpam-6364	390	19	hyman	hyman	PROPN
ejpam-6364	390	20	,	,	PUNCT
ejpam-6364	390	21	and	and	CCONJ
ejpam-6364	390	22	carlos	carlos	PROPN
ejpam-6364	390	23	castillochavez	castillochavez	PROPN
ejpam-6364	390	24	.	.	PUNCT
ejpam-6364	391	1	modelling	model	VERB
ejpam-6364	391	2	the	the	DET
ejpam-6364	391	3	transmission	transmission	NOUN
ejpam-6364	391	4	dynamics	dynamic	NOUN
ejpam-6364	391	5	of	of	ADP
ejpam-6364	391	6	acute	acute	ADJ
ejpam-6364	391	7	haemorrhagic	haemorrhagic	ADJ
ejpam-6364	391	8	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	391	9	:	:	PUNCT
ejpam-6364	391	10	application	application	NOUN
ejpam-6364	391	11	to	to	ADP
ejpam-6364	391	12	the	the	DET
ejpam-6364	391	13	2003	2003	NUM
ejpam-6364	391	14	outbreak	outbreak	NOUN
ejpam-6364	391	15	in	in	ADP
ejpam-6364	391	16	mexico	mexico	PROPN
ejpam-6364	391	17	.	.	PUNCT
ejpam-6364	392	1	statistics	statistic	NOUN
ejpam-6364	392	2	in	in	ADP
ejpam-6364	392	3	medicine	medicine	NOUN
ejpam-6364	392	4	,	,	PUNCT
ejpam-6364	392	5	25(11):1840–1857	25(11):1840–1857	NUM
ejpam-6364	392	6	,	,	PUNCT
ejpam-6364	392	7	2006	2006	NUM
ejpam-6364	392	8	.	.	PUNCT
ejpam-6364	393	1	[	[	X
ejpam-6364	393	2	18	18	NUM
ejpam-6364	393	3	]	]	X
ejpam-6364	393	4	j	j	PROPN
ejpam-6364	393	5	suksawat	suksawat	NOUN
ejpam-6364	393	6	and	and	CCONJ
ejpam-6364	393	7	surapol	surapol	PROPN
ejpam-6364	393	8	naowarat	naowarat	PROPN
ejpam-6364	393	9	.	.	PUNCT
ejpam-6364	394	1	effect	effect	NOUN
ejpam-6364	394	2	of	of	ADP
ejpam-6364	394	3	rainfall	rainfall	NOUN
ejpam-6364	394	4	on	on	ADP
ejpam-6364	394	5	the	the	DET
ejpam-6364	394	6	transmission	transmission	NOUN
ejpam-6364	394	7	model	model	NOUN
ejpam-6364	394	8	of	of	ADP
ejpam-6364	394	9	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	394	10	.	.	PUNCT
ejpam-6364	395	1	2014	2014	NUM
ejpam-6364	395	2	.	.	PUNCT
ejpam-6364	396	1	[	[	X
ejpam-6364	396	2	19	19	NUM
ejpam-6364	396	3	]	]	SYM
ejpam-6364	396	4	b	b	NOUN
ejpam-6364	396	5	unyong	unyong	NOUN
ejpam-6364	396	6	and	and	CCONJ
ejpam-6364	396	7	s	s	PROPN
ejpam-6364	396	8	naowarat	naowarat	NOUN
ejpam-6364	396	9	.	.	PUNCT
ejpam-6364	397	1	stability	stability	NOUN
ejpam-6364	397	2	analysis	analysis	NOUN
ejpam-6364	397	3	of	of	ADP
ejpam-6364	397	4	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	397	5	model	model	NOUN
ejpam-6364	397	6	with	with	ADP
ejpam-6364	397	7	nonlinear	nonlinear	ADJ
ejpam-6364	397	8	incidence	incidence	NOUN
ejpam-6364	397	9	term	term	NOUN
ejpam-6364	397	10	.	.	PUNCT
ejpam-6364	398	1	australian	australian	ADJ
ejpam-6364	398	2	journal	journal	NOUN
ejpam-6364	398	3	of	of	ADP
ejpam-6364	398	4	basic	basic	ADJ
ejpam-6364	398	5	and	and	CCONJ
ejpam-6364	398	6	applied	applied	ADJ
ejpam-6364	398	7	sciences	science	NOUN
ejpam-6364	398	8	,	,	PUNCT
ejpam-6364	398	9	8(24):52–58	8(24):52–58	NUM
ejpam-6364	398	10	,	,	PUNCT
ejpam-6364	398	11	2014	2014	NUM
ejpam-6364	398	12	.	.	PUNCT
ejpam-6364	399	1	[	[	X
ejpam-6364	399	2	20	20	NUM
ejpam-6364	399	3	]	]	PUNCT
ejpam-6364	399	4	sireepatch	sireepatch	NOUN
ejpam-6364	399	5	sangsawang	sangsawang	PROPN
ejpam-6364	399	6	,	,	PUNCT
ejpam-6364	399	7	tareerat	tareerat	NOUN
ejpam-6364	399	8	tanutpanit	tanutpanit	NOUN
ejpam-6364	399	9	,	,	PUNCT
ejpam-6364	399	10	wannissa	wannissa	ADJ
ejpam-6364	399	11	mumtong	mumtong	NOUN
ejpam-6364	399	12	,	,	PUNCT
ejpam-6364	399	13	and	and	CCONJ
ejpam-6364	399	14	puntani	puntani	PROPN
ejpam-6364	399	15	pongsumpun	pongsumpun	NOUN
ejpam-6364	399	16	.	.	PUNCT
ejpam-6364	400	1	local	local	ADJ
ejpam-6364	400	2	stability	stability	NOUN
ejpam-6364	400	3	analysis	analysis	NOUN
ejpam-6364	400	4	of	of	ADP
ejpam-6364	400	5	mathematical	mathematical	ADJ
ejpam-6364	400	6	model	model	NOUN
ejpam-6364	400	7	for	for	ADP
ejpam-6364	400	8	hemorrhagic	hemorrhagic	NOUN
ejpam-6364	400	9	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	400	10	disease	disease	NOUN
ejpam-6364	400	11	.	.	PUNCT
ejpam-6364	401	1	current	current	ADJ
ejpam-6364	401	2	applied	apply	VERB
ejpam-6364	401	3	science	science	NOUN
ejpam-6364	401	4	and	and	CCONJ
ejpam-6364	401	5	technology	technology	NOUN
ejpam-6364	401	6	,	,	PUNCT
ejpam-6364	401	7	12(2):189–197	12(2):189–197	PROPN
ejpam-6364	401	8	,	,	PUNCT
ejpam-6364	401	9	2012	2012	NUM
ejpam-6364	401	10	.	.	PUNCT
ejpam-6364	402	1	[	[	X
ejpam-6364	402	2	21	21	NUM
ejpam-6364	402	3	]	]	X
ejpam-6364	402	4	o	o	X
ejpam-6364	402	5	ghazali	ghazali	PROPN
ejpam-6364	402	6	,	,	PUNCT
ejpam-6364	402	7	kb	kb	PROPN
ejpam-6364	402	8	chua	chua	PROPN
ejpam-6364	402	9	,	,	PUNCT
ejpam-6364	402	10	kp	kp	PROPN
ejpam-6364	402	11	ng	ng	PROPN
ejpam-6364	402	12	,	,	PUNCT
ejpam-6364	402	13	ps	ps	PROPN
ejpam-6364	402	14	hooi	hooi	PROPN
ejpam-6364	402	15	,	,	PUNCT
ejpam-6364	402	16	ma	ma	PROPN
ejpam-6364	402	17	pallansch	pallansch	PROPN
ejpam-6364	402	18	,	,	PUNCT
ejpam-6364	402	19	ms	ms	PROPN
ejpam-6364	402	20	oberste	oberste	NOUN
ejpam-6364	402	21	,	,	PUNCT
ejpam-6364	402	22	kh	kh	PROPN
ejpam-6364	402	23	chua	chua	PROPN
ejpam-6364	402	24	,	,	PUNCT
ejpam-6364	402	25	and	and	CCONJ
ejpam-6364	402	26	jw	jw	PROPN
ejpam-6364	402	27	mak	mak	PROPN
ejpam-6364	402	28	.	.	PUNCT
ejpam-6364	403	1	an	an	DET
ejpam-6364	403	2	outbreak	outbreak	NOUN
ejpam-6364	403	3	of	of	ADP
ejpam-6364	403	4	acute	acute	ADJ
ejpam-6364	403	5	haemorrhagic	haemorrhagic	ADJ
ejpam-6364	403	6	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	403	7	in	in	ADP
ejpam-6364	403	8	melaka	melaka	PROPN
ejpam-6364	403	9	,	,	PUNCT
ejpam-6364	403	10	malaysia	malaysia	PROPN
ejpam-6364	403	11	.	.	PUNCT
ejpam-6364	404	1	singapore	singapore	PROPN
ejpam-6364	404	2	med	med	PROPN
ejpam-6364	404	3	j	j	PROPN
ejpam-6364	404	4	,	,	PUNCT
ejpam-6364	404	5	44(10):511–6	44(10):511–6	PROPN
ejpam-6364	404	6	,	,	PUNCT
ejpam-6364	404	7	2003	2003	NUM
ejpam-6364	404	8	.	.	PUNCT
ejpam-6364	405	1	[	[	X
ejpam-6364	405	2	22	22	NUM
ejpam-6364	405	3	]	]	X
ejpam-6364	405	4	j	j	PROPN
ejpam-6364	405	5	chansaenroj	chansaenroj	PROPN
ejpam-6364	405	6	,	,	PUNCT
ejpam-6364	405	7	s	s	PART
ejpam-6364	405	8	vongpunsawad	vongpunsawad	NOUN
ejpam-6364	405	9	,	,	PUNCT
ejpam-6364	405	10	j	j	PROPN
ejpam-6364	405	11	puenpa	puenpa	NOUN
ejpam-6364	405	12	,	,	PUNCT
ejpam-6364	405	13	a	a	DET
ejpam-6364	405	14	theamboonlers	theamboonler	NOUN
ejpam-6364	405	15	,	,	PUNCT
ejpam-6364	405	16	v	v	ADP
ejpam-6364	405	17	vuthitanachot	vuthitanachot	NOUN
ejpam-6364	405	18	,	,	PUNCT
ejpam-6364	405	19	p	p	PROPN
ejpam-6364	405	20	chattakul	chattakul	NOUN
ejpam-6364	405	21	,	,	PUNCT
ejpam-6364	405	22	d	d	X
ejpam-6364	405	23	areechokchai	areechokchai	NOUN
ejpam-6364	405	24	,	,	PUNCT
ejpam-6364	405	25	and	and	CCONJ
ejpam-6364	405	26	y	y	PROPN
ejpam-6364	405	27	poovorawan	poovorawan	PROPN
ejpam-6364	405	28	.	.	PUNCT
ejpam-6364	406	1	epidemic	epidemic	NOUN
ejpam-6364	406	2	outbreak	outbreak	NOUN
ejpam-6364	406	3	of	of	ADP
ejpam-6364	406	4	acute	acute	ADJ
ejpam-6364	406	5	haemorrhagic	haemorrhagic	ADJ
ejpam-6364	406	6	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	406	7	caused	cause	VERB
ejpam-6364	406	8	by	by	ADP
ejpam-6364	406	9	coxsackievirus	coxsackievirus	PROPN
ejpam-6364	406	10	a24	a24	PROPN
ejpam-6364	406	11	in	in	ADP
ejpam-6364	406	12	thailand	thailand	PROPN
ejpam-6364	406	13	,	,	PUNCT
ejpam-6364	406	14	2014	2014	NUM
ejpam-6364	406	15	.	.	PUNCT
ejpam-6364	407	1	epidemiology	epidemiology	NOUN
ejpam-6364	407	2	&	&	CCONJ
ejpam-6364	407	3	infection	infection	NOUN
ejpam-6364	407	4	,	,	PUNCT
ejpam-6364	407	5	143(14):3087–3093	143(14):3087–3093	NUM
ejpam-6364	407	6	,	,	PUNCT
ejpam-6364	407	7	2015	2015	NUM
ejpam-6364	407	8	.	.	PUNCT
ejpam-6364	408	1	[	[	X
ejpam-6364	408	2	23	23	NUM
ejpam-6364	408	3	]	]	X
ejpam-6364	408	4	g	g	PROPN
ejpam-6364	408	5	chowell	chowell	PROPN
ejpam-6364	408	6	,	,	PUNCT
ejpam-6364	408	7	e	e	PROPN
ejpam-6364	408	8	shim	shim	NOUN
ejpam-6364	408	9	,	,	PUNCT
ejpam-6364	408	10	fred	fred	PROPN
ejpam-6364	408	11	brauer	brauer	PROPN
ejpam-6364	408	12	,	,	PUNCT
ejpam-6364	408	13	p	p	PROPN
ejpam-6364	408	14	diaz	diaz	PROPN
ejpam-6364	408	15	-	-	PUNCT
ejpam-6364	408	16	dueñas	dueñas	PROPN
ejpam-6364	408	17	,	,	PUNCT
ejpam-6364	408	18	jm	jm	PROPN
ejpam-6364	408	19	hyman	hyman	PROPN
ejpam-6364	408	20	,	,	PUNCT
ejpam-6364	408	21	and	and	CCONJ
ejpam-6364	408	22	carlos	carlos	PROPN
ejpam-6364	408	23	castillochavez	castillochavez	PROPN
ejpam-6364	408	24	.	.	PUNCT
ejpam-6364	409	1	modelling	model	VERB
ejpam-6364	409	2	the	the	DET
ejpam-6364	409	3	transmission	transmission	NOUN
ejpam-6364	409	4	dynamics	dynamic	NOUN
ejpam-6364	409	5	of	of	ADP
ejpam-6364	409	6	acute	acute	ADJ
ejpam-6364	409	7	haemorrhagic	haemorrhagic	ADJ
ejpam-6364	409	8	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	409	9	:	:	PUNCT
ejpam-6364	409	10	application	application	NOUN
ejpam-6364	409	11	to	to	ADP
ejpam-6364	409	12	the	the	DET
ejpam-6364	409	13	2003	2003	NUM
ejpam-6364	409	14	outbreak	outbreak	NOUN
ejpam-6364	409	15	in	in	ADP
ejpam-6364	409	16	mexico	mexico	PROPN
ejpam-6364	409	17	.	.	PUNCT
ejpam-6364	410	1	statistics	statistic	NOUN
ejpam-6364	410	2	in	in	ADP
ejpam-6364	410	3	medicine	medicine	NOUN
ejpam-6364	410	4	,	,	PUNCT
ejpam-6364	410	5	25(11):1840–1857	25(11):1840–1857	NUM
ejpam-6364	410	6	,	,	PUNCT
ejpam-6364	410	7	2006	2006	NUM
ejpam-6364	410	8	.	.	PUNCT
ejpam-6364	411	1	[	[	X
ejpam-6364	411	2	24	24	NUM
ejpam-6364	411	3	]	]	X
ejpam-6364	411	4	zhuo	zhuo	PROPN
ejpam-6364	411	5	-	-	PUNCT
ejpam-6364	411	6	jia	jia	PROPN
ejpam-6364	411	7	fu	fu	PROPN
ejpam-6364	411	8	,	,	PUNCT
ejpam-6364	411	9	zhuo	zhuo	PROPN
ejpam-6364	411	10	-	-	PUNCT
ejpam-6364	411	11	chao	chao	PROPN
ejpam-6364	411	12	tang	tang	PROPN
ejpam-6364	411	13	,	,	PUNCT
ejpam-6364	411	14	hai	hai	PROPN
ejpam-6364	411	15	-	-	PUNCT
ejpam-6364	411	16	tao	tao	PROPN
ejpam-6364	411	17	zhao	zhao	PROPN
ejpam-6364	411	18	,	,	PUNCT
ejpam-6364	411	19	po	po	PROPN
ejpam-6364	411	20	-	-	PUNCT
ejpam-6364	411	21	wei	wei	PROPN
ejpam-6364	411	22	li	li	PROPN
ejpam-6364	411	23	,	,	PUNCT
ejpam-6364	411	24	and	and	CCONJ
ejpam-6364	411	25	timon	timon	PROPN
ejpam-6364	411	26	rabczuk	rabczuk	PROPN
ejpam-6364	411	27	.	.	PUNCT
ejpam-6364	411	28	numerical	numerical	ADJ
ejpam-6364	411	29	solutions	solution	NOUN
ejpam-6364	411	30	of	of	ADP
ejpam-6364	411	31	the	the	DET
ejpam-6364	411	32	coupled	couple	VERB
ejpam-6364	411	33	unsteady	unsteady	ADJ
ejpam-6364	411	34	nonlinear	nonlinear	ADJ
ejpam-6364	411	35	convection	convection	NOUN
ejpam-6364	411	36	-	-	PUNCT
ejpam-6364	411	37	diffusion	diffusion	NOUN
ejpam-6364	411	38	equations	equation	NOUN
ejpam-6364	411	39	based	base	VERB
ejpam-6364	411	40	on	on	ADP
ejpam-6364	411	41	generalized	generalized	ADJ
ejpam-6364	411	42	finite	finite	ADJ
ejpam-6364	411	43	difference	difference	NOUN
ejpam-6364	411	44	method	method	NOUN
ejpam-6364	411	45	.	.	PUNCT
ejpam-6364	412	1	the	the	DET
ejpam-6364	412	2	european	european	PROPN
ejpam-6364	412	3	physical	physical	PROPN
ejpam-6364	412	4	journal	journal	PROPN
ejpam-6364	412	5	plus	plus	CCONJ
ejpam-6364	412	6	,	,	PUNCT
ejpam-6364	412	7	134(6):272	134(6):272	NUM
ejpam-6364	412	8	,	,	PUNCT
ejpam-6364	412	9	2019	2019	NUM
ejpam-6364	412	10	.	.	PUNCT
ejpam-6364	413	1	[	[	X
ejpam-6364	413	2	25	25	NUM
ejpam-6364	413	3	]	]	PUNCT
ejpam-6364	413	4	israr	israr	NOUN
ejpam-6364	413	5	ahmad	ahmad	PROPN
ejpam-6364	413	6	,	,	PUNCT
ejpam-6364	413	7	zeeshan	zeeshan	PROPN
ejpam-6364	413	8	ali	ali	PROPN
ejpam-6364	413	9	,	,	PUNCT
ejpam-6364	413	10	babar	babar	PROPN
ejpam-6364	413	11	khan	khan	PROPN
ejpam-6364	413	12	,	,	PUNCT
ejpam-6364	413	13	kamal	kamal	PROPN
ejpam-6364	413	14	shah	shah	PROPN
ejpam-6364	413	15	,	,	PUNCT
ejpam-6364	413	16	and	and	CCONJ
ejpam-6364	413	17	thabet	thabet	ADJ
ejpam-6364	413	18	abdeljawad	abdeljawad	NOUN
ejpam-6364	413	19	.	.	PUNCT
ejpam-6364	414	1	exploring	explore	VERB
ejpam-6364	414	2	the	the	DET
ejpam-6364	414	3	dynamics	dynamic	NOUN
ejpam-6364	414	4	of	of	ADP
ejpam-6364	414	5	gumboro	gumboro	NOUN
ejpam-6364	414	6	-	-	PUNCT
ejpam-6364	414	7	salmonella	salmonella	NOUN
ejpam-6364	414	8	co	co	NOUN
ejpam-6364	414	9	-	-	NOUN
ejpam-6364	414	10	infection	infection	NOUN
ejpam-6364	414	11	with	with	ADP
ejpam-6364	414	12	fractal	fractal	ADJ
ejpam-6364	414	13	fractional	fractional	ADJ
ejpam-6364	414	14	analysis	analysis	NOUN
ejpam-6364	414	15	.	.	PUNCT
ejpam-6364	415	1	alexandria	alexandria	PROPN
ejpam-6364	415	2	engineering	engineering	PROPN
ejpam-6364	415	3	journal	journal	PROPN
ejpam-6364	415	4	,	,	PUNCT
ejpam-6364	415	5	117:472–489	117:472–489	NUM
ejpam-6364	415	6	,	,	PUNCT
ejpam-6364	415	7	2025	2025	NUM
ejpam-6364	415	8	.	.	PUNCT
ejpam-6364	416	1	[	[	X
ejpam-6364	416	2	26	26	NUM
ejpam-6364	416	3	]	]	X
ejpam-6364	416	4	kamal	kamal	PROPN
ejpam-6364	416	5	shah	shah	PROPN
ejpam-6364	416	6	,	,	PUNCT
ejpam-6364	416	7	khalil	khalil	PROPN
ejpam-6364	416	8	ur	ur	PROPN
ejpam-6364	416	9	rehman	rehman	PROPN
ejpam-6364	416	10	,	,	PUNCT
ejpam-6364	416	11	bahaaeldin	bahaaeldin	VERB
ejpam-6364	416	12	abdalla	abdalla	PROPN
ejpam-6364	416	13	,	,	PUNCT
ejpam-6364	416	14	thabet	thabet	ADJ
ejpam-6364	416	15	abdeljawad	abdeljawad	NOUN
ejpam-6364	416	16	,	,	PUNCT
ejpam-6364	416	17	and	and	CCONJ
ejpam-6364	416	18	wasfi	wasfi	PROPN
ejpam-6364	416	19	r.	r.	PROPN
ejpam-6364	416	20	ud	ud	PROPN
ejpam-6364	416	21	din	din	VERB
ejpam-6364	416	22	et	et	PROPN
ejpam-6364	416	23	al	al	PROPN
ejpam-6364	416	24	.	.	PUNCT
ejpam-6364	416	25	/	/	SYM
ejpam-6364	416	26	eur	eur	PROPN
ejpam-6364	416	27	.	.	PUNCT
ejpam-6364	417	1	j.	j.	PROPN
ejpam-6364	417	2	pure	pure	PROPN
ejpam-6364	417	3	appl	appl	PROPN
ejpam-6364	417	4	.	.	PROPN
ejpam-6364	417	5	math	math	PROPN
ejpam-6364	417	6	,	,	PUNCT
ejpam-6364	417	7	18	18	NUM
ejpam-6364	417	8	(	(	PUNCT
ejpam-6364	417	9	4	4	NUM
ejpam-6364	417	10	)	)	PUNCT
ejpam-6364	417	11	(	(	PUNCT
ejpam-6364	417	12	2025	2025	NUM
ejpam-6364	417	13	)	)	PUNCT
ejpam-6364	417	14	,	,	PUNCT
ejpam-6364	417	15	6364	6364	NUM
ejpam-6364	417	16	23	23	NUM
ejpam-6364	417	17	of	of	ADP
ejpam-6364	417	18	23	23	NUM
ejpam-6364	417	19	shatanawi	shatanawi	ADJ
ejpam-6364	417	20	.	.	PUNCT
ejpam-6364	418	1	using	use	VERB
ejpam-6364	418	2	neural	neural	ADJ
ejpam-6364	418	3	network	network	NOUN
ejpam-6364	418	4	and	and	CCONJ
ejpam-6364	418	5	fractals	fractal	VERB
ejpam-6364	418	6	fractional	fractional	ADJ
ejpam-6364	418	7	analysis	analysis	NOUN
ejpam-6364	418	8	to	to	PART
ejpam-6364	418	9	predict	predict	VERB
ejpam-6364	418	10	the	the	DET
ejpam-6364	418	11	eye	eye	NOUN
ejpam-6364	418	12	disease	disease	NOUN
ejpam-6364	418	13	infection	infection	NOUN
ejpam-6364	418	14	caused	cause	VERB
ejpam-6364	418	15	by	by	ADP
ejpam-6364	418	16	conjunctivitis	conjunctivitis	NOUN
ejpam-6364	418	17	virus	virus	NOUN
ejpam-6364	418	18	.	.	PUNCT
ejpam-6364	419	1	fractals	fractal	NOUN
ejpam-6364	419	2	,	,	PUNCT
ejpam-6364	419	3	page	page	NOUN
ejpam-6364	419	4	2540204	2540204	NUM
ejpam-6364	419	5	,	,	PUNCT
ejpam-6364	419	6	2025	2025	NUM
ejpam-6364	419	7	.	.	PUNCT