id	sid	tid	token	lemma	pos
ejpam-3400	1	1	european	european	PROPN
ejpam-3400	1	2	journal	journal	PROPN
ejpam-3400	1	3	of	of	ADP
ejpam-3400	1	4	pure	pure	ADJ
ejpam-3400	1	5	and	and	CCONJ
ejpam-3400	1	6	applied	apply	VERB
ejpam-3400	1	7	mathematics	mathematic	NOUN
ejpam-3400	1	8	vol	vol	NOUN
ejpam-3400	1	9	.	.	PROPN
ejpam-3400	2	1	12	12	NUM
ejpam-3400	2	2	,	,	PUNCT
ejpam-3400	2	3	no	no	INTJ
ejpam-3400	2	4	.	.	NOUN
ejpam-3400	2	5	3	3	NUM
ejpam-3400	2	6	,	,	PUNCT
ejpam-3400	2	7	2019	2019	NUM
ejpam-3400	2	8	,	,	PUNCT
ejpam-3400	2	9	834	834	NUM
ejpam-3400	2	10	-	-	SYM
ejpam-3400	2	11	845	845	NUM
ejpam-3400	2	12	issn	issn	PROPN
ejpam-3400	2	13	1307	1307	NUM
ejpam-3400	2	14	-	-	SYM
ejpam-3400	2	15	5543	5543	NUM
ejpam-3400	2	16	–	–	PUNCT
ejpam-3400	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3400	2	18	published	publish	VERB
ejpam-3400	2	19	by	by	ADP
ejpam-3400	2	20	new	new	PROPN
ejpam-3400	2	21	york	york	PROPN
ejpam-3400	2	22	business	business	PROPN
ejpam-3400	2	23	global	global	ADJ
ejpam-3400	2	24	stochastic	stochastic	ADJ
ejpam-3400	2	25	approach	approach	NOUN
ejpam-3400	2	26	of	of	ADP
ejpam-3400	2	27	epidemic	epidemic	NOUN
ejpam-3400	2	28	model	model	NOUN
ejpam-3400	2	29	using	use	VERB
ejpam-3400	2	30	the	the	DET
ejpam-3400	2	31	seirs	seir	NOUN
ejpam-3400	2	32	hay	hay	PROPN
ejpam-3400	2	33	yoba	yoba	PROPN
ejpam-3400	2	34	talkibing1	talkibing1	PROPN
ejpam-3400	2	35	,	,	PUNCT
ejpam-3400	2	36	barro	barro	PROPN
ejpam-3400	2	37	diakarya2,∗	diakarya2,∗	PROPN
ejpam-3400	2	38	,	,	PUNCT
ejpam-3400	2	39	ouoba	ouoba	NOUN
ejpam-3400	2	40	fabrice1	fabrice1	NOUN
ejpam-3400	2	41	1	1	NUM
ejpam-3400	2	42	ufr	ufr	NOUN
ejpam-3400	2	43	-	-	PUNCT
ejpam-3400	2	44	sea	sea	NOUN
ejpam-3400	2	45	,	,	PUNCT
ejpam-3400	2	46	université	université	ADJ
ejpam-3400	2	47	ouaga	ouaga	PROPN
ejpam-3400	2	48	i	i	PRON
ejpam-3400	2	49	,	,	PUNCT
ejpam-3400	2	50	pr	pr	PROPN
ejpam-3400	2	51	joseph	joseph	PROPN
ejpam-3400	2	52	ki	ki	PROPN
ejpam-3400	2	53	-	-	PUNCT
ejpam-3400	2	54	zerbo	zerbo	PROPN
ejpam-3400	2	55	,	,	PUNCT
ejpam-3400	2	56	ouagadougou	ouagadougou	PROPN
ejpam-3400	2	57	,	,	PUNCT
ejpam-3400	2	58	burkina	burkina	PROPN
ejpam-3400	2	59	faso	faso	PROPN
ejpam-3400	2	60	2	2	NUM
ejpam-3400	2	61	ufr	ufr	PROPN
ejpam-3400	2	62	-	-	PUNCT
ejpam-3400	2	63	seg	seg	NOUN
ejpam-3400	2	64	,	,	PUNCT
ejpam-3400	2	65	université	université	ADJ
ejpam-3400	2	66	ouaga	ouaga	NOUN
ejpam-3400	2	67	2	2	NUM
ejpam-3400	2	68	,	,	PUNCT
ejpam-3400	2	69	ouagadougou	ouagadougou	PROPN
ejpam-3400	2	70	,	,	PUNCT
ejpam-3400	2	71	burkina	burkina	PROPN
ejpam-3400	2	72	faso	faso	PROPN
ejpam-3400	2	73	abstract	abstract	PROPN
ejpam-3400	2	74	.	.	PUNCT
ejpam-3400	3	1	the	the	DET
ejpam-3400	3	2	study	study	NOUN
ejpam-3400	3	3	of	of	ADP
ejpam-3400	3	4	infectious	infectious	ADJ
ejpam-3400	3	5	diseases	disease	NOUN
ejpam-3400	3	6	represents	represent	VERB
ejpam-3400	3	7	one	one	NUM
ejpam-3400	3	8	of	of	ADP
ejpam-3400	3	9	the	the	DET
ejpam-3400	3	10	oldest	old	ADJ
ejpam-3400	3	11	and	and	CCONJ
ejpam-3400	3	12	richest	rich	ADJ
ejpam-3400	3	13	sectors	sector	NOUN
ejpam-3400	3	14	of	of	ADP
ejpam-3400	3	15	biomathematics	biomathematic	NOUN
ejpam-3400	3	16	.	.	PUNCT
ejpam-3400	4	1	the	the	DET
ejpam-3400	4	2	transmission	transmission	NOUN
ejpam-3400	4	3	dynamics	dynamic	NOUN
ejpam-3400	4	4	of	of	ADP
ejpam-3400	4	5	these	these	DET
ejpam-3400	4	6	diseases	disease	NOUN
ejpam-3400	4	7	are	be	AUX
ejpam-3400	4	8	still	still	ADV
ejpam-3400	4	9	a	a	DET
ejpam-3400	4	10	major	major	ADJ
ejpam-3400	4	11	problem	problem	NOUN
ejpam-3400	4	12	in	in	ADP
ejpam-3400	4	13	mathematical	mathematical	ADJ
ejpam-3400	4	14	epidemiology	epidemiology	NOUN
ejpam-3400	4	15	.	.	PUNCT
ejpam-3400	5	1	in	in	ADP
ejpam-3400	5	2	this	this	DET
ejpam-3400	5	3	work	work	NOUN
ejpam-3400	5	4	,	,	PUNCT
ejpam-3400	5	5	we	we	PRON
ejpam-3400	5	6	propose	propose	VERB
ejpam-3400	5	7	a	a	DET
ejpam-3400	5	8	stochastic	stochastic	ADJ
ejpam-3400	5	9	version	version	NOUN
ejpam-3400	5	10	of	of	ADP
ejpam-3400	5	11	a	a	DET
ejpam-3400	5	12	seirs	seir	NOUN
ejpam-3400	5	13	epidemiological	epidemiological	ADJ
ejpam-3400	5	14	model	model	NOUN
ejpam-3400	5	15	for	for	ADP
ejpam-3400	5	16	infectious	infectious	ADJ
ejpam-3400	5	17	diseases	disease	NOUN
ejpam-3400	5	18	evolving	evolve	VERB
ejpam-3400	5	19	in	in	ADP
ejpam-3400	5	20	a	a	DET
ejpam-3400	5	21	random	random	ADJ
ejpam-3400	5	22	environment	environment	NOUN
ejpam-3400	5	23	for	for	ADP
ejpam-3400	5	24	the	the	DET
ejpam-3400	5	25	propagation	propagation	NOUN
ejpam-3400	5	26	of	of	ADP
ejpam-3400	5	27	infectious	infectious	ADJ
ejpam-3400	5	28	diseases	disease	NOUN
ejpam-3400	5	29	.	.	PUNCT
ejpam-3400	6	1	this	this	DET
ejpam-3400	6	2	random	random	ADJ
ejpam-3400	6	3	model	model	NOUN
ejpam-3400	6	4	takes	take	VERB
ejpam-3400	6	5	into	into	ADP
ejpam-3400	6	6	account	account	NOUN
ejpam-3400	6	7	the	the	DET
ejpam-3400	6	8	rates	rate	NOUN
ejpam-3400	6	9	of	of	ADP
ejpam-3400	6	10	immigration	immigration	NOUN
ejpam-3400	6	11	and	and	CCONJ
ejpam-3400	6	12	mortality	mortality	NOUN
ejpam-3400	6	13	in	in	ADP
ejpam-3400	6	14	each	each	DET
ejpam-3400	6	15	compartment	compartment	NOUN
ejpam-3400	6	16	and	and	CCONJ
ejpam-3400	6	17	the	the	DET
ejpam-3400	6	18	spread	spread	NOUN
ejpam-3400	6	19	of	of	ADP
ejpam-3400	6	20	these	these	DET
ejpam-3400	6	21	diseases	disease	NOUN
ejpam-3400	6	22	follows	follow	VERB
ejpam-3400	6	23	a	a	DET
ejpam-3400	6	24	four	four	NUM
ejpam-3400	6	25	-	-	PUNCT
ejpam-3400	6	26	state	state	NOUN
ejpam-3400	6	27	markovian	markovian	ADJ
ejpam-3400	6	28	process	process	NOUN
ejpam-3400	6	29	.	.	PUNCT
ejpam-3400	7	1	we	we	PRON
ejpam-3400	7	2	first	first	ADV
ejpam-3400	7	3	study	study	VERB
ejpam-3400	7	4	the	the	DET
ejpam-3400	7	5	stability	stability	NOUN
ejpam-3400	7	6	of	of	ADP
ejpam-3400	7	7	the	the	DET
ejpam-3400	7	8	model	model	NOUN
ejpam-3400	7	9	and	and	CCONJ
ejpam-3400	7	10	then	then	ADV
ejpam-3400	7	11	estimate	estimate	VERB
ejpam-3400	7	12	the	the	DET
ejpam-3400	7	13	marginal	marginal	ADJ
ejpam-3400	7	14	parameters	parameter	NOUN
ejpam-3400	7	15	(	(	PUNCT
ejpam-3400	7	16	means	mean	NOUN
ejpam-3400	7	17	,	,	PUNCT
ejpam-3400	7	18	variances	variance	NOUN
ejpam-3400	7	19	and	and	CCONJ
ejpam-3400	7	20	covariates	covariate	NOUN
ejpam-3400	7	21	)	)	PUNCT
ejpam-3400	7	22	of	of	ADP
ejpam-3400	7	23	each	each	DET
ejpam-3400	7	24	disease	disease	NOUN
ejpam-3400	7	25	state	state	NOUN
ejpam-3400	7	26	over	over	ADP
ejpam-3400	7	27	time	time	NOUN
ejpam-3400	7	28	.	.	PUNCT
ejpam-3400	8	1	real	real	ADJ
ejpam-3400	8	2	measles	measle	NOUN
ejpam-3400	8	3	data	datum	NOUN
ejpam-3400	8	4	are	be	AUX
ejpam-3400	8	5	applied	apply	VERB
ejpam-3400	8	6	to	to	ADP
ejpam-3400	8	7	the	the	DET
ejpam-3400	8	8	model	model	NOUN
ejpam-3400	8	9	.	.	PUNCT
ejpam-3400	9	1	2010	2010	NUM
ejpam-3400	9	2	mathematics	mathematic	NOUN
ejpam-3400	9	3	subject	subject	NOUN
ejpam-3400	9	4	classifications	classification	NOUN
ejpam-3400	9	5	:	:	PUNCT
ejpam-3400	9	6	60g05	60g05	NUM
ejpam-3400	9	7	,	,	PUNCT
ejpam-3400	9	8	92d30	92d30	NUM
ejpam-3400	9	9	,	,	PUNCT
ejpam-3400	9	10	60j10	60j10	NOUN
ejpam-3400	9	11	key	key	ADJ
ejpam-3400	9	12	words	word	NOUN
ejpam-3400	9	13	and	and	CCONJ
ejpam-3400	9	14	phrases	phrase	NOUN
ejpam-3400	9	15	:	:	PUNCT
ejpam-3400	9	16	stochastic	stochastic	ADJ
ejpam-3400	9	17	processes	process	NOUN
ejpam-3400	9	18	,	,	PUNCT
ejpam-3400	9	19	epidemiology	epidemiology	NOUN
ejpam-3400	9	20	,	,	PUNCT
ejpam-3400	9	21	markov	markov	NOUN
ejpam-3400	9	22	chain	chain	NOUN
ejpam-3400	9	23	,	,	PUNCT
ejpam-3400	9	24	seirs	seirs	PROPN
ejpam-3400	9	25	1	1	NUM
ejpam-3400	9	26	.	.	PUNCT
ejpam-3400	10	1	introduction	introduction	NOUN
ejpam-3400	10	2	infectious	infectious	ADJ
ejpam-3400	10	3	diseases	disease	NOUN
ejpam-3400	10	4	are	be	AUX
ejpam-3400	10	5	of	of	ADP
ejpam-3400	10	6	increasing	increase	VERB
ejpam-3400	10	7	concern	concern	NOUN
ejpam-3400	10	8	to	to	ADP
ejpam-3400	10	9	authorities	authority	NOUN
ejpam-3400	10	10	and	and	CCONJ
ejpam-3400	10	11	public	public	ADJ
ejpam-3400	10	12	health	health	NOUN
ejpam-3400	10	13	officials	official	NOUN
ejpam-3400	10	14	[	[	X
ejpam-3400	10	15	2	2	NUM
ejpam-3400	10	16	]	]	PUNCT
ejpam-3400	10	17	.	.	PUNCT
ejpam-3400	11	1	in	in	ADP
ejpam-3400	11	2	the	the	DET
ejpam-3400	11	3	face	face	NOUN
ejpam-3400	11	4	of	of	ADP
ejpam-3400	11	5	increasing	increase	VERB
ejpam-3400	11	6	bacterial	bacterial	ADJ
ejpam-3400	11	7	resistance	resistance	NOUN
ejpam-3400	11	8	,	,	PUNCT
ejpam-3400	11	9	the	the	DET
ejpam-3400	11	10	emergence	emergence	NOUN
ejpam-3400	11	11	of	of	ADP
ejpam-3400	11	12	new	new	ADJ
ejpam-3400	11	13	pathogens	pathogen	NOUN
ejpam-3400	11	14	and	and	CCONJ
ejpam-3400	11	15	the	the	DET
ejpam-3400	11	16	rapid	rapid	ADJ
ejpam-3400	11	17	spread	spread	NOUN
ejpam-3400	11	18	of	of	ADP
ejpam-3400	11	19	the	the	DET
ejpam-3400	11	20	epidemic	epidemic	NOUN
ejpam-3400	11	21	make	make	VERB
ejpam-3400	11	22	surveillance	surveillance	NOUN
ejpam-3400	11	23	and	and	CCONJ
ejpam-3400	11	24	prevention	prevention	NOUN
ejpam-3400	11	25	of	of	ADP
ejpam-3400	11	26	disease	disease	NOUN
ejpam-3400	11	27	transmission	transmission	NOUN
ejpam-3400	11	28	particularly	particularly	ADV
ejpam-3400	11	29	important	important	ADJ
ejpam-3400	11	30	and	and	CCONJ
ejpam-3400	11	31	indispensable	indispensable	ADJ
ejpam-3400	11	32	.	.	PUNCT
ejpam-3400	12	1	even	even	ADV
ejpam-3400	12	2	with	with	ADP
ejpam-3400	12	3	permanent	permanent	ADJ
ejpam-3400	12	4	and	and	CCONJ
ejpam-3400	12	5	continuous	continuous	ADJ
ejpam-3400	12	6	surveillance	surveillance	NOUN
ejpam-3400	12	7	of	of	ADP
ejpam-3400	12	8	infectious	infectious	ADJ
ejpam-3400	12	9	diseases	disease	NOUN
ejpam-3400	12	10	,	,	PUNCT
ejpam-3400	12	11	it	it	PRON
ejpam-3400	12	12	must	must	AUX
ejpam-3400	12	13	be	be	AUX
ejpam-3400	12	14	noted	note	VERB
ejpam-3400	12	15	that	that	SCONJ
ejpam-3400	12	16	their	their	PRON
ejpam-3400	12	17	etiologies	etiology	NOUN
ejpam-3400	12	18	are	be	AUX
ejpam-3400	12	19	still	still	ADV
ejpam-3400	12	20	largely	largely	ADV
ejpam-3400	12	21	unknown	unknown	ADJ
ejpam-3400	12	22	.	.	PUNCT
ejpam-3400	13	1	to	to	PART
ejpam-3400	13	2	combat	combat	VERB
ejpam-3400	13	3	this	this	DET
ejpam-3400	13	4	random	random	ADJ
ejpam-3400	13	5	phenomenon	phenomenon	NOUN
ejpam-3400	13	6	,	,	PUNCT
ejpam-3400	13	7	in	in	ADP
ejpam-3400	13	8	recent	recent	ADJ
ejpam-3400	13	9	decades	decade	NOUN
ejpam-3400	13	10	mathematical	mathematical	ADJ
ejpam-3400	13	11	models	model	NOUN
ejpam-3400	13	12	have	have	AUX
ejpam-3400	13	13	been	be	AUX
ejpam-3400	13	14	developed	develop	VERB
ejpam-3400	13	15	and	and	CCONJ
ejpam-3400	13	16	implemented	implement	VERB
ejpam-3400	13	17	to	to	PART
ejpam-3400	13	18	study	study	VERB
ejpam-3400	13	19	the	the	DET
ejpam-3400	13	20	spread	spread	NOUN
ejpam-3400	13	21	of	of	ADP
ejpam-3400	13	22	infectious	infectious	ADJ
ejpam-3400	13	23	diseases	disease	NOUN
ejpam-3400	13	24	since	since	SCONJ
ejpam-3400	13	25	the	the	DET
ejpam-3400	13	26	early	early	ADJ
ejpam-3400	13	27	twentieth	twentieth	ADJ
ejpam-3400	13	28	century	century	NOUN
ejpam-3400	13	29	in	in	ADP
ejpam-3400	13	30	the	the	DET
ejpam-3400	13	31	field	field	NOUN
ejpam-3400	13	32	of	of	ADP
ejpam-3400	13	33	mathematical	mathematical	ADJ
ejpam-3400	13	34	epidemiology	epidemiology	NOUN
ejpam-3400	13	35	through	through	ADP
ejpam-3400	13	36	the	the	DET
ejpam-3400	13	37	work	work	NOUN
ejpam-3400	13	38	of	of	ADP
ejpam-3400	13	39	daniel	daniel	PROPN
ejpam-3400	13	40	bernoulli	bernoulli	PROPN
ejpam-3400	14	1	[	[	X
ejpam-3400	14	2	1	1	X
ejpam-3400	14	3	]	]	PUNCT
ejpam-3400	14	4	.	.	PUNCT
ejpam-3400	15	1	stochastic	stochastic	ADJ
ejpam-3400	15	2	and	and	CCONJ
ejpam-3400	15	3	deterministic	deterministic	ADJ
ejpam-3400	15	4	models	model	NOUN
ejpam-3400	15	5	of	of	ADP
ejpam-3400	15	6	epidemics	epidemic	NOUN
ejpam-3400	15	7	allow	allow	VERB
ejpam-3400	15	8	researchers	researcher	NOUN
ejpam-3400	15	9	to	to	PART
ejpam-3400	15	10	gain	gain	VERB
ejpam-3400	15	11	valuable	valuable	ADJ
ejpam-3400	15	12	knowledge	knowledge	NOUN
ejpam-3400	15	13	about	about	ADP
ejpam-3400	15	14	many	many	ADJ
ejpam-3400	15	15	infectious	infectious	ADJ
ejpam-3400	15	16	diseases	disease	NOUN
ejpam-3400	15	17	and	and	CCONJ
ejpam-3400	15	18	to	to	PART
ejpam-3400	15	19	study	study	VERB
ejpam-3400	15	20	strategies	strategy	NOUN
ejpam-3400	15	21	to	to	PART
ejpam-3400	15	22	combat	combat	VERB
ejpam-3400	15	23	them	they	PRON
ejpam-3400	15	24	.	.	PUNCT
ejpam-3400	16	1	the	the	DET
ejpam-3400	16	2	first	first	ADJ
ejpam-3400	16	3	stochastic	stochastic	ADJ
ejpam-3400	16	4	epidemic	epidemic	NOUN
ejpam-3400	16	5	models	model	NOUN
ejpam-3400	16	6	were	be	AUX
ejpam-3400	16	7	presented	present	VERB
ejpam-3400	16	8	by	by	ADP
ejpam-3400	16	9	l.	l.	PROPN
ejpam-3400	16	10	reed	reed	PROPN
ejpam-3400	16	11	and	and	CCONJ
ejpam-3400	16	12	w	w	PROPN
ejpam-3400	16	13	,	,	PUNCT
ejpam-3400	16	14	h.	h.	PROPN
ejpam-3400	16	15	frost	frost	NOUN
ejpam-3400	16	16	in	in	ADP
ejpam-3400	16	17	[	[	X
ejpam-3400	16	18	3	3	NUM
ejpam-3400	16	19	]	]	PUNCT
ejpam-3400	16	20	to	to	PART
ejpam-3400	16	21	accurately	accurately	ADV
ejpam-3400	16	22	describe	describe	VERB
ejpam-3400	16	23	the	the	DET
ejpam-3400	16	24	discrete	discrete	ADJ
ejpam-3400	16	25	-	-	PUNCT
ejpam-3400	16	26	time	time	NOUN
ejpam-3400	16	27	spread	spread	NOUN
ejpam-3400	16	28	of	of	ADP
ejpam-3400	16	29	disease	disease	NOUN
ejpam-3400	16	30	in	in	ADP
ejpam-3400	16	31	a	a	DET
ejpam-3400	16	32	population	population	NOUN
ejpam-3400	16	33	.	.	PUNCT
ejpam-3400	17	1	these	these	DET
ejpam-3400	17	2	models	model	NOUN
ejpam-3400	17	3	developed	develop	VERB
ejpam-3400	17	4	in	in	ADP
ejpam-3400	17	5	1928	1928	NUM
ejpam-3400	17	6	and	and	CCONJ
ejpam-3400	17	7	1931[3	1931[3	NUM
ejpam-3400	17	8	]	]	PUNCT
ejpam-3400	17	9	are	be	AUX
ejpam-3400	17	10	based	base	VERB
ejpam-3400	17	11	on	on	ADP
ejpam-3400	17	12	the	the	DET
ejpam-3400	17	13	notion	notion	NOUN
ejpam-3400	17	14	of	of	ADP
ejpam-3400	17	15	probability	probability	NOUN
ejpam-3400	17	16	and	and	CCONJ
ejpam-3400	17	17	statistics	statistic	NOUN
ejpam-3400	17	18	.	.	PUNCT
ejpam-3400	18	1	later	later	ADV
ejpam-3400	18	2	∗corresponding	∗corresponde	VERB
ejpam-3400	18	3	author	author	NOUN
ejpam-3400	18	4	.	.	PUNCT
ejpam-3400	19	1	doi	doi	NOUN
ejpam-3400	19	2	:	:	PUNCT
ejpam-3400	19	3	https://doi.org/10.29020/nybg.ejpam.v12i3.3400	https://doi.org/10.29020/nybg.ejpam.v12i3.3400	PRON
ejpam-3400	19	4	email	email	NOUN
ejpam-3400	19	5	addresses	address	NOUN
ejpam-3400	19	6	:	:	PUNCT
ejpam-3400	19	7	talkibingfils@yahoo.fr	talkibingfils@yahoo.fr	PROPN
ejpam-3400	19	8	(	(	PUNCT
ejpam-3400	19	9	h.	h.	PROPN
ejpam-3400	19	10	y.	y.	PROPN
ejpam-3400	19	11	talkibing	talkibing	PROPN
ejpam-3400	19	12	)	)	PUNCT
ejpam-3400	19	13	,	,	PUNCT
ejpam-3400	19	14	dbarro2@gmail.com	dbarro2@gmail.com	X
ejpam-3400	19	15	(	(	PUNCT
ejpam-3400	19	16	b.	b.	PROPN
ejpam-3400	19	17	diakarya	diakarya	PROPN
ejpam-3400	19	18	)	)	PUNCT
ejpam-3400	19	19	,	,	PUNCT
ejpam-3400	19	20	ddifab@yahoo.fr	ddifab@yahoo.fr	NOUN
ejpam-3400	19	21	(	(	PUNCT
ejpam-3400	19	22	o.	o.	PROPN
ejpam-3400	19	23	fabrice	fabrice	PROPN
ejpam-3400	19	24	)	)	PUNCT
ejpam-3400	19	25	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3400	20	1	834	834	NUM
ejpam-3400	20	2	c	c	X
ejpam-3400	20	3	©	©	PROPN
ejpam-3400	20	4	2019	2019	NUM
ejpam-3400	20	5	ejpam	ejpam	NOUN
ejpam-3400	20	6	all	all	DET
ejpam-3400	20	7	rights	right	NOUN
ejpam-3400	20	8	reserved	reserve	VERB
ejpam-3400	20	9	.	.	PUNCT
ejpam-3400	21	1	h.	h.	PROPN
ejpam-3400	21	2	y.	y.	PROPN
ejpam-3400	21	3	talkibing	talkibing	PROPN
ejpam-3400	21	4	,	,	PUNCT
ejpam-3400	21	5	b.	b.	PROPN
ejpam-3400	21	6	diakarya	diakarya	PROPN
ejpam-3400	21	7	,	,	PUNCT
ejpam-3400	21	8	o.	o.	PROPN
ejpam-3400	21	9	fabrice	fabrice	PROPN
ejpam-3400	21	10	/	/	SYM
ejpam-3400	21	11	eur	eur	PROPN
ejpam-3400	21	12	.	.	PUNCT
ejpam-3400	22	1	j.	j.	PROPN
ejpam-3400	22	2	pure	pure	PROPN
ejpam-3400	22	3	appl	appl	PROPN
ejpam-3400	22	4	.	.	PROPN
ejpam-3400	22	5	math	math	PROPN
ejpam-3400	22	6	,	,	PUNCT
ejpam-3400	22	7	12	12	NUM
ejpam-3400	22	8	(	(	PUNCT
ejpam-3400	22	9	3	3	NUM
ejpam-3400	22	10	)	)	PUNCT
ejpam-3400	22	11	(	(	PUNCT
ejpam-3400	22	12	2019	2019	NUM
ejpam-3400	22	13	)	)	PUNCT
ejpam-3400	22	14	,	,	PUNCT
ejpam-3400	22	15	834	834	NUM
ejpam-3400	22	16	-	-	SYM
ejpam-3400	22	17	845	845	NUM
ejpam-3400	22	18	835	835	NUM
ejpam-3400	22	19	bartlett	bartlett	NOUN
ejpam-3400	22	20	[	[	X
ejpam-3400	22	21	m.	m.	NOUN
ejpam-3400	22	22	costa	costa	PROPN
ejpam-3400	22	23	2011	2011	NUM
ejpam-3400	22	24	]	]	PUNCT
ejpam-3400	22	25	proposed	propose	VERB
ejpam-3400	22	26	in	in	ADP
ejpam-3400	22	27	1949	1949	NUM
ejpam-3400	22	28	,	,	PUNCT
ejpam-3400	22	29	the	the	DET
ejpam-3400	22	30	continuous	continuous	ADJ
ejpam-3400	22	31	time	time	NOUN
ejpam-3400	22	32	stochastic	stochastic	ADJ
ejpam-3400	22	33	sir	sir	NOUN
ejpam-3400	22	34	model	model	NOUN
ejpam-3400	22	35	which	which	PRON
ejpam-3400	22	36	serves	serve	VERB
ejpam-3400	22	37	as	as	ADP
ejpam-3400	22	38	the	the	DET
ejpam-3400	22	39	basis	basis	NOUN
ejpam-3400	22	40	for	for	ADP
ejpam-3400	22	41	stochastic	stochastic	ADJ
ejpam-3400	22	42	models	model	NOUN
ejpam-3400	22	43	.	.	PUNCT
ejpam-3400	23	1	these	these	DET
ejpam-3400	23	2	last	last	ADJ
ejpam-3400	23	3	yeas	yea	NOUN
ejpam-3400	23	4	,	,	PUNCT
ejpam-3400	23	5	we	we	PRON
ejpam-3400	23	6	can	can	AUX
ejpam-3400	23	7	find	find	VERB
ejpam-3400	23	8	in	in	ADP
ejpam-3400	23	9	the	the	DET
ejpam-3400	23	10	literature	literature	NOUN
ejpam-3400	23	11	several	several	ADJ
ejpam-3400	23	12	works	work	NOUN
ejpam-3400	23	13	but	but	CCONJ
ejpam-3400	23	14	much	much	ADJ
ejpam-3400	23	15	remains	remain	VERB
ejpam-3400	23	16	to	to	PART
ejpam-3400	23	17	be	be	AUX
ejpam-3400	23	18	done	do	VERB
ejpam-3400	23	19	with	with	ADP
ejpam-3400	23	20	the	the	DET
ejpam-3400	23	21	emergence	emergence	NOUN
ejpam-3400	23	22	of	of	ADP
ejpam-3400	23	23	some	some	PRON
ejpam-3400	23	24	of	of	ADP
ejpam-3400	23	25	the	the	DET
ejpam-3400	23	26	new	new	ADJ
ejpam-3400	23	27	pathogens	pathogen	NOUN
ejpam-3400	23	28	.	.	PUNCT
ejpam-3400	24	1	in	in	ADP
ejpam-3400	24	2	this	this	DET
ejpam-3400	24	3	work	work	NOUN
ejpam-3400	24	4	,	,	PUNCT
ejpam-3400	24	5	we	we	PRON
ejpam-3400	24	6	are	be	AUX
ejpam-3400	24	7	interested	interested	ADJ
ejpam-3400	24	8	in	in	ADP
ejpam-3400	24	9	the	the	DET
ejpam-3400	24	10	seirs	seirs	PROPN
ejpam-3400	24	11	model	model	NOUN
ejpam-3400	24	12	described	describe	VERB
ejpam-3400	24	13	in	in	ADP
ejpam-3400	24	14	[	[	X
ejpam-3400	24	15	7	7	NUM
ejpam-3400	24	16	]	]	PUNCT
ejpam-3400	24	17	for	for	ADP
ejpam-3400	24	18	infectious	infectious	ADJ
ejpam-3400	24	19	diseases	disease	NOUN
ejpam-3400	24	20	.	.	PUNCT
ejpam-3400	25	1	we	we	PRON
ejpam-3400	25	2	propose	propose	VERB
ejpam-3400	25	3	a	a	DET
ejpam-3400	25	4	stochastic	stochastic	ADJ
ejpam-3400	25	5	version	version	NOUN
ejpam-3400	25	6	of	of	ADP
ejpam-3400	25	7	this	this	DET
ejpam-3400	25	8	model	model	NOUN
ejpam-3400	25	9	using	use	VERB
ejpam-3400	25	10	birth	birth	NOUN
ejpam-3400	25	11	and	and	CCONJ
ejpam-3400	25	12	death	death	NOUN
ejpam-3400	25	13	processes	process	NOUN
ejpam-3400	25	14	to	to	PART
ejpam-3400	25	15	describe	describe	VERB
ejpam-3400	25	16	the	the	DET
ejpam-3400	25	17	spread	spread	NOUN
ejpam-3400	25	18	of	of	ADP
ejpam-3400	25	19	infectious	infectious	ADJ
ejpam-3400	25	20	diseases	disease	NOUN
ejpam-3400	25	21	in	in	ADP
ejpam-3400	25	22	a	a	DET
ejpam-3400	25	23	random	random	ADJ
ejpam-3400	25	24	environment	environment	NOUN
ejpam-3400	25	25	.	.	PUNCT
ejpam-3400	26	1	2	2	X
ejpam-3400	26	2	.	.	X
ejpam-3400	26	3	stochastic	stochastic	ADJ
ejpam-3400	26	4	probability	probability	NOUN
ejpam-3400	26	5	of	of	ADP
ejpam-3400	26	6	birth	birth	NOUN
ejpam-3400	26	7	and	and	CCONJ
ejpam-3400	26	8	mortality	mortality	NOUN
ejpam-3400	26	9	in	in	ADP
ejpam-3400	26	10	this	this	DET
ejpam-3400	26	11	section	section	NOUN
ejpam-3400	26	12	,	,	PUNCT
ejpam-3400	26	13	we	we	PRON
ejpam-3400	26	14	propose	propose	VERB
ejpam-3400	26	15	a	a	DET
ejpam-3400	26	16	stochastic	stochastic	ADJ
ejpam-3400	26	17	version	version	NOUN
ejpam-3400	26	18	of	of	ADP
ejpam-3400	26	19	the	the	DET
ejpam-3400	26	20	seirs	seirs	PROPN
ejpam-3400	26	21	model	model	NOUN
ejpam-3400	26	22	(	(	PUNCT
ejpam-3400	26	23	fig	fig	NOUN
ejpam-3400	26	24	1	1	NUM
ejpam-3400	26	25	)	)	PUNCT
ejpam-3400	26	26	reviewed	review	VERB
ejpam-3400	26	27	above	above	ADV
ejpam-3400	26	28	.	.	PUNCT
ejpam-3400	27	1	so	so	ADV
ejpam-3400	27	2	,	,	PUNCT
ejpam-3400	27	3	we	we	PRON
ejpam-3400	27	4	assume	assume	VERB
ejpam-3400	27	5	that	that	SCONJ
ejpam-3400	27	6	the	the	DET
ejpam-3400	27	7	spread	spread	NOUN
ejpam-3400	27	8	of	of	ADP
ejpam-3400	27	9	the	the	DET
ejpam-3400	27	10	disease	disease	NOUN
ejpam-3400	27	11	follows	follow	VERB
ejpam-3400	27	12	a	a	DET
ejpam-3400	27	13	linear	linear	ADJ
ejpam-3400	27	14	process	process	NOUN
ejpam-3400	27	15	of	of	ADP
ejpam-3400	27	16	birth	birth	NOUN
ejpam-3400	27	17	and	and	CCONJ
ejpam-3400	27	18	death	death	NOUN
ejpam-3400	27	19	in	in	ADP
ejpam-3400	27	20	continuous	continuous	ADJ
ejpam-3400	27	21	time	time	NOUN
ejpam-3400	27	22	and	and	CCONJ
ejpam-3400	27	23	in	in	ADP
ejpam-3400	27	24	four	four	NUM
ejpam-3400	27	25	states	state	NOUN
ejpam-3400	27	26	in	in	ADP
ejpam-3400	27	27	a	a	DET
ejpam-3400	27	28	variable	variable	ADJ
ejpam-3400	27	29	environment	environment	NOUN
ejpam-3400	27	30	.	.	PUNCT
ejpam-3400	28	1	moreover	moreover	ADV
ejpam-3400	28	2	,	,	PUNCT
ejpam-3400	28	3	we	we	PRON
ejpam-3400	28	4	assume	assume	VERB
ejpam-3400	28	5	that	that	SCONJ
ejpam-3400	28	6	the	the	DET
ejpam-3400	28	7	switching	switching	NOUN
ejpam-3400	28	8	between	between	ADP
ejpam-3400	28	9	environments	environment	NOUN
ejpam-3400	28	10	follows	follow	VERB
ejpam-3400	28	11	a	a	DET
ejpam-3400	28	12	homogeneous	homogeneous	ADJ
ejpam-3400	28	13	markov	markov	NOUN
ejpam-3400	28	14	chain	chain	NOUN
ejpam-3400	28	15	in	in	ADP
ejpam-3400	28	16	continuous	continuous	ADJ
ejpam-3400	28	17	time	time	NOUN
ejpam-3400	28	18	.	.	PUNCT
ejpam-3400	29	1	a	a	DET
ejpam-3400	29	2	model	model	NOUN
ejpam-3400	29	3	of	of	ADP
ejpam-3400	29	4	the	the	DET
ejpam-3400	29	5	dynamics	dynamic	NOUN
ejpam-3400	29	6	of	of	ADP
ejpam-3400	29	7	infectious	infectious	ADJ
ejpam-3400	29	8	disease	disease	NOUN
ejpam-3400	29	9	transition	transition	NOUN
ejpam-3400	29	10	can	can	AUX
ejpam-3400	29	11	be	be	AUX
ejpam-3400	29	12	formulated	formulate	VERB
ejpam-3400	29	13	using	use	VERB
ejpam-3400	29	14	a	a	DET
ejpam-3400	29	15	stochastic	stochastic	ADJ
ejpam-3400	29	16	process	process	NOUN
ejpam-3400	29	17	{	{	PUNCT
ejpam-3400	29	18	xn	xn	PROPN
ejpam-3400	29	19	,	,	PUNCT
ejpam-3400	29	20	n	n	NOUN
ejpam-3400	29	21	=	=	SYM
ejpam-3400	29	22	1	1	NUM
ejpam-3400	29	23	,	,	PUNCT
ejpam-3400	29	24	2	2	NUM
ejpam-3400	29	25	,	,	PUNCT
ejpam-3400	29	26	3	3	NUM
ejpam-3400	29	27	,	,	PUNCT
ejpam-3400	29	28	...	...	PUNCT
ejpam-3400	29	29	}	}	PUNCT
ejpam-3400	29	30	as	as	ADP
ejpam-3400	29	31	a	a	DET
ejpam-3400	29	32	markov	markov	NOUN
ejpam-3400	29	33	string	string	NOUN
ejpam-3400	29	34	with	with	ADP
ejpam-3400	29	35	continuous	continuous	ADJ
ejpam-3400	29	36	time	time	NOUN
ejpam-3400	29	37	t	t	NOUN
ejpam-3400	29	38	and	and	CCONJ
ejpam-3400	29	39	discrete	discrete	VERB
ejpam-3400	29	40	state	state	NOUN
ejpam-3400	29	41	space	space	NOUN
ejpam-3400	29	42	x0	x0	PROPN
ejpam-3400	29	43	,	,	PUNCT
ejpam-3400	29	44	x1	x1	PROPN
ejpam-3400	29	45	,	,	PUNCT
ejpam-3400	29	46	...	...	PUNCT
ejpam-3400	29	47	,	,	PUNCT
ejpam-3400	29	48	xn	xn	PUNCT
ejpam-3400	29	49	satisfying	satisfy	VERB
ejpam-3400	29	50	the	the	DET
ejpam-3400	29	51	following	follow	VERB
ejpam-3400	29	52	markov	markov	NOUN
ejpam-3400	29	53	property	property	NOUN
ejpam-3400	29	54	:	:	PUNCT
ejpam-3400	30	1	p	p	X
ejpam-3400	30	2	(	(	PUNCT
ejpam-3400	30	3	xn+1	xn+1	PROPN
ejpam-3400	30	4	=	=	SYM
ejpam-3400	30	5	jn+1	jn+1	PROPN
ejpam-3400	30	6	/	/	SYM
ejpam-3400	30	7	x0	x0	PROPN
ejpam-3400	30	8	=	=	SYM
ejpam-3400	30	9	j0	j0	PROPN
ejpam-3400	30	10	,	,	PUNCT
ejpam-3400	30	11	x1	x1	PROPN
ejpam-3400	30	12	=	=	SYM
ejpam-3400	30	13	j1	j1	PROPN
ejpam-3400	30	14	,	,	PUNCT
ejpam-3400	30	15	...	...	PUNCT
ejpam-3400	30	16	,	,	PUNCT
ejpam-3400	30	17	xn	xn	PROPN
ejpam-3400	30	18	=	=	SYM
ejpam-3400	30	19	jn	jn	PROPN
ejpam-3400	30	20	)	)	PUNCT
ejpam-3400	31	1	=	=	SYM
ejpam-3400	31	2	p	p	X
ejpam-3400	31	3	(	(	PUNCT
ejpam-3400	31	4	xn+1	xn+1	PROPN
ejpam-3400	31	5	=	=	SYM
ejpam-3400	31	6	jn+1	jn+1	PROPN
ejpam-3400	31	7	/	/	SYM
ejpam-3400	31	8	xn	xn	PROPN
ejpam-3400	31	9	=	=	SYM
ejpam-3400	31	10	jn	jn	PROPN
ejpam-3400	31	11	)	)	PUNCT
ejpam-3400	31	12	.	.	PUNCT
ejpam-3400	32	1	(	(	PUNCT
ejpam-3400	32	2	1	1	X
ejpam-3400	32	3	)	)	PUNCT
ejpam-3400	32	4	that	that	PRON
ejpam-3400	32	5	is	be	AUX
ejpam-3400	32	6	,	,	PUNCT
ejpam-3400	32	7	the	the	DET
ejpam-3400	32	8	evolution	evolution	NOUN
ejpam-3400	32	9	of	of	ADP
ejpam-3400	32	10	the	the	DET
ejpam-3400	32	11	process	process	NOUN
ejpam-3400	32	12	at	at	ADP
ejpam-3400	32	13	time	time	NOUN
ejpam-3400	32	14	n+1	n+1	NUM
ejpam-3400	32	15	depends	depend	VERB
ejpam-3400	32	16	only	only	ADV
ejpam-3400	32	17	on	on	ADP
ejpam-3400	32	18	the	the	DET
ejpam-3400	32	19	state	state	NOUN
ejpam-3400	32	20	of	of	ADP
ejpam-3400	32	21	the	the	DET
ejpam-3400	32	22	process	process	NOUN
ejpam-3400	32	23	at	at	ADP
ejpam-3400	32	24	time	time	NOUN
ejpam-3400	32	25	n	n	ADJ
ejpam-3400	32	26	but	but	CCONJ
ejpam-3400	32	27	not	not	PART
ejpam-3400	32	28	on	on	ADP
ejpam-3400	32	29	the	the	DET
ejpam-3400	32	30	past	past	ADJ
ejpam-3400	32	31	states	state	NOUN
ejpam-3400	32	32	0	0	NUM
ejpam-3400	32	33	,	,	PUNCT
ejpam-3400	32	34	1	1	NUM
ejpam-3400	32	35	,	,	PUNCT
ejpam-3400	32	36	2	2	NUM
ejpam-3400	32	37	,	,	PUNCT
ejpam-3400	32	38	...	...	PUNCT
ejpam-3400	32	39	,	,	PUNCT
ejpam-3400	32	40	n	n	CCONJ
ejpam-3400	32	41	−	−	PROPN
ejpam-3400	32	42	1	1	NUM
ejpam-3400	32	43	of	of	ADP
ejpam-3400	32	44	the	the	DET
ejpam-3400	32	45	process	process	NOUN
ejpam-3400	32	46	.	.	PUNCT
ejpam-3400	33	1	in	in	ADP
ejpam-3400	33	2	biological	biological	ADJ
ejpam-3400	33	3	modeling	modeling	NOUN
ejpam-3400	33	4	,	,	PUNCT
ejpam-3400	33	5	a	a	DET
ejpam-3400	33	6	disease	disease	NOUN
ejpam-3400	33	7	transmission	transmission	NOUN
ejpam-3400	33	8	process	process	NOUN
ejpam-3400	33	9	described	describe	VERB
ejpam-3400	33	10	with	with	ADP
ejpam-3400	33	11	the	the	DET
ejpam-3400	33	12	states	state	NOUN
ejpam-3400	33	13	x0	x0	PROPN
ejpam-3400	33	14	,	,	PUNCT
ejpam-3400	33	15	...	...	PUNCT
ejpam-3400	33	16	,	,	PUNCT
ejpam-3400	33	17	xn	xn	PROPN
ejpam-3400	33	18	can	can	AUX
ejpam-3400	33	19	be	be	AUX
ejpam-3400	33	20	seen	see	VERB
ejpam-3400	33	21	as	as	ADP
ejpam-3400	33	22	a	a	DET
ejpam-3400	33	23	markov	markov	NOUN
ejpam-3400	33	24	chain	chain	NOUN
ejpam-3400	33	25	with	with	ADP
ejpam-3400	33	26	a	a	DET
ejpam-3400	33	27	transition	transition	NOUN
ejpam-3400	33	28	matrix	matrix	NOUN
ejpam-3400	33	29	q	q	NOUN
ejpam-3400	34	1	=	=	PUNCT
ejpam-3400	34	2	(	(	PUNCT
ejpam-3400	34	3	pij	pij	NOUN
ejpam-3400	34	4	)	)	PUNCT
ejpam-3400	34	5	where	where	SCONJ
ejpam-3400	34	6	the	the	DET
ejpam-3400	34	7	probabilities	probability	NOUN
ejpam-3400	34	8	of	of	ADP
ejpam-3400	34	9	the	the	DET
ejpam-3400	34	10	transitions	transition	NOUN
ejpam-3400	34	11	are	be	AUX
ejpam-3400	34	12	such	such	ADJ
ejpam-3400	34	13	as	as	ADP
ejpam-3400	34	14	:	:	PUNCT
ejpam-3400	34	15	pij	pij	NOUN
ejpam-3400	34	16	=	=	PROPN
ejpam-3400	34	17	p	p	X
ejpam-3400	34	18	(	(	PUNCT
ejpam-3400	34	19	xn+1	xn+1	PROPN
ejpam-3400	34	20	=	=	SYM
ejpam-3400	34	21	j	j	PROPN
ejpam-3400	34	22	/	/	SYM
ejpam-3400	34	23	xn	xn	PROPN
ejpam-3400	35	1	=	=	SYM
ejpam-3400	35	2	i	i	PROPN
ejpam-3400	35	3	)	)	PUNCT
ejpam-3400	35	4	for	for	ADP
ejpam-3400	35	5	all	all	DET
ejpam-3400	35	6	i	i	PROPN
ejpam-3400	35	7	,	,	PUNCT
ejpam-3400	35	8	j	j	PROPN
ejpam-3400	35	9	=	=	SYM
ejpam-3400	35	10	1	1	NUM
ejpam-3400	35	11	,	,	PUNCT
ejpam-3400	35	12	2	2	NUM
ejpam-3400	35	13	,	,	PUNCT
ejpam-3400	35	14	3	3	NUM
ejpam-3400	35	15	,	,	PUNCT
ejpam-3400	35	16	...	...	PUNCT
ejpam-3400	35	17	,	,	PUNCT
ejpam-3400	35	18	n.	n.	NOUN
ejpam-3400	35	19	(	(	PUNCT
ejpam-3400	35	20	2	2	NUM
ejpam-3400	35	21	)	)	PUNCT
ejpam-3400	35	22	the	the	DET
ejpam-3400	35	23	population	population	NOUN
ejpam-3400	35	24	of	of	ADP
ejpam-3400	35	25	interest	interest	NOUN
ejpam-3400	35	26	is	be	AUX
ejpam-3400	35	27	divided	divide	VERB
ejpam-3400	35	28	into	into	ADP
ejpam-3400	35	29	four	four	NUM
ejpam-3400	35	30	compartments	compartment	NOUN
ejpam-3400	35	31	where	where	SCONJ
ejpam-3400	35	32	each	each	PRON
ejpam-3400	35	33	of	of	ADP
ejpam-3400	35	34	them	they	PRON
ejpam-3400	35	35	represents	represent	VERB
ejpam-3400	35	36	a	a	DET
ejpam-3400	35	37	specific	specific	ADJ
ejpam-3400	35	38	stage	stage	NOUN
ejpam-3400	35	39	of	of	ADP
ejpam-3400	35	40	the	the	DET
ejpam-3400	35	41	epidemic	epidemic	NOUN
ejpam-3400	35	42	.	.	PUNCT
ejpam-3400	36	1	we	we	PRON
ejpam-3400	36	2	have	have	VERB
ejpam-3400	36	3	x1	x1	PROPN
ejpam-3400	36	4	for	for	ADP
ejpam-3400	36	5	susceptible	susceptible	ADJ
ejpam-3400	36	6	or	or	CCONJ
ejpam-3400	36	7	holy	holy	ADJ
ejpam-3400	36	8	individuals	individual	NOUN
ejpam-3400	36	9	,	,	PUNCT
ejpam-3400	36	10	x2	x2	PROPN
ejpam-3400	36	11	for	for	ADP
ejpam-3400	36	12	lectures	lecture	NOUN
ejpam-3400	36	13	,	,	PUNCT
ejpam-3400	36	14	x3	x3	ADJ
ejpam-3400	36	15	for	for	ADP
ejpam-3400	36	16	infected	infected	ADJ
ejpam-3400	36	17	individuals	individual	NOUN
ejpam-3400	36	18	and	and	CCONJ
ejpam-3400	36	19	x4	x4	PROPN
ejpam-3400	36	20	for	for	ADP
ejpam-3400	36	21	healers	healer	NOUN
ejpam-3400	36	22	.	.	PUNCT
ejpam-3400	37	1	add	add	VERB
ejpam-3400	37	2	to	to	ADP
ejpam-3400	37	3	this	this	DET
ejpam-3400	37	4	model	model	NOUN
ejpam-3400	37	5	the	the	DET
ejpam-3400	37	6	apparitions	apparition	NOUN
ejpam-3400	37	7	rates	rate	NOUN
ejpam-3400	37	8	σi	σi	PRON
ejpam-3400	37	9	for	for	ADP
ejpam-3400	37	10	i	i	PROPN
ejpam-3400	37	11	=	=	NOUN
ejpam-3400	37	12	1	1	NUM
ejpam-3400	37	13	,	,	PUNCT
ejpam-3400	37	14	2	2	NUM
ejpam-3400	37	15	,	,	PUNCT
ejpam-3400	37	16	3	3	NUM
ejpam-3400	37	17	,	,	PUNCT
ejpam-3400	37	18	4	4	NUM
ejpam-3400	37	19	independent	independent	ADJ
ejpam-3400	37	20	of	of	ADP
ejpam-3400	37	21	lambda	lambda	NOUN
ejpam-3400	37	22	and	and	CCONJ
ejpam-3400	37	23	the	the	DET
ejpam-3400	37	24	natural	natural	ADJ
ejpam-3400	37	25	death	death	NOUN
ejpam-3400	37	26	rates	rate	NOUN
ejpam-3400	37	27	µi	µi	INTJ
ejpam-3400	37	28	for	for	ADP
ejpam-3400	37	29	all	all	DET
ejpam-3400	37	30	i	i	PRON
ejpam-3400	37	31	=	=	NOUN
ejpam-3400	37	32	1	1	NUM
ejpam-3400	37	33	,	,	PUNCT
ejpam-3400	37	34	2	2	NUM
ejpam-3400	37	35	,	,	PUNCT
ejpam-3400	37	36	3	3	NUM
ejpam-3400	37	37	,	,	PUNCT
ejpam-3400	37	38	4	4	NUM
ejpam-3400	37	39	independent	independent	ADJ
ejpam-3400	37	40	of	of	ADP
ejpam-3400	37	41	the	the	DET
ejpam-3400	37	42	disease	disease	NOUN
ejpam-3400	37	43	in	in	ADP
ejpam-3400	37	44	the	the	DET
ejpam-3400	37	45	classes	class	NOUN
ejpam-3400	37	46	of	of	ADP
ejpam-3400	37	47	persons	person	NOUN
ejpam-3400	37	48	susceptible	susceptible	ADJ
ejpam-3400	37	49	to	to	ADP
ejpam-3400	37	50	x1(t	x1(t	PROPN
ejpam-3400	37	51	)	)	PUNCT
ejpam-3400	37	52	,	,	PUNCT
ejpam-3400	37	53	exposed	expose	VERB
ejpam-3400	37	54	x2(t	x2(t	PROPN
ejpam-3400	37	55	)	)	PUNCT
ejpam-3400	37	56	,	,	PUNCT
ejpam-3400	37	57	infected	infect	VERB
ejpam-3400	37	58	x3(t	x3(t	NOUN
ejpam-3400	37	59	)	)	PUNCT
ejpam-3400	37	60	and	and	CCONJ
ejpam-3400	37	61	healed	heal	VERB
ejpam-3400	37	62	x4(t	x4(t	PROPN
ejpam-3400	37	63	)	)	PUNCT
ejpam-3400	37	64	respectively	respectively	ADV
ejpam-3400	37	65	at	at	ADP
ejpam-3400	37	66	time	time	NOUN
ejpam-3400	37	67	t.	t.	PROPN
ejpam-3400	37	68	moreover	moreover	ADV
ejpam-3400	37	69	,	,	PUNCT
ejpam-3400	37	70	let	let	VERB
ejpam-3400	37	71	z(t	z(t	NOUN
ejpam-3400	37	72	)	)	PUNCT
ejpam-3400	37	73	=	=	SYM
ejpam-3400	38	1	x1(t	x1(t	PROPN
ejpam-3400	38	2	)	)	PUNCT
ejpam-3400	39	1	+	+	NOUN
ejpam-3400	39	2	x2(t	x2(t	X
ejpam-3400	39	3	)	)	PUNCT
ejpam-3400	40	1	+	+	ADJ
ejpam-3400	40	2	x3(t	x3(t	PROPN
ejpam-3400	40	3	)	)	PUNCT
ejpam-3400	40	4	+	+	NOUN
ejpam-3400	40	5	x4(t	x4(t	PROPN
ejpam-3400	40	6	)	)	PUNCT
ejpam-3400	40	7	be	be	VERB
ejpam-3400	40	8	the	the	DET
ejpam-3400	40	9	population	population	NOUN
ejpam-3400	40	10	size	size	NOUN
ejpam-3400	40	11	at	at	ADP
ejpam-3400	40	12	a	a	DET
ejpam-3400	40	13	given	give	VERB
ejpam-3400	40	14	time	time	NOUN
ejpam-3400	40	15	t.	t.	PROPN
ejpam-3400	40	16	assume	assume	VERB
ejpam-3400	40	17	that	that	SCONJ
ejpam-3400	40	18	all	all	DET
ejpam-3400	40	19	rates	rate	NOUN
ejpam-3400	40	20	are	be	AUX
ejpam-3400	40	21	not	not	PART
ejpam-3400	40	22	time	time	NOUN
ejpam-3400	40	23	-	-	PUNCT
ejpam-3400	40	24	dependent	dependent	ADJ
ejpam-3400	40	25	t	t	NOUN
ejpam-3400	40	26	and	and	CCONJ
ejpam-3400	40	27	disease	disease	NOUN
ejpam-3400	40	28	transmission	transmission	NOUN
ejpam-3400	40	29	occurs	occur	VERB
ejpam-3400	40	30	only	only	ADV
ejpam-3400	40	31	by	by	ADP
ejpam-3400	40	32	contact	contact	NOUN
ejpam-3400	40	33	between	between	ADP
ejpam-3400	40	34	susceptible	susceptible	ADJ
ejpam-3400	40	35	and	and	CCONJ
ejpam-3400	40	36	infectious	infectious	ADJ
ejpam-3400	40	37	individuals	individual	NOUN
ejpam-3400	40	38	in	in	ADP
ejpam-3400	40	39	a	a	DET
ejpam-3400	40	40	relatively	relatively	ADV
ejpam-3400	40	41	small	small	ADJ
ejpam-3400	40	42	time	time	NOUN
ejpam-3400	40	43	interval	interval	NOUN
ejpam-3400	40	44	dt	dt	PROPN
ejpam-3400	40	45	.	.	PUNCT
ejpam-3400	41	1	once	once	SCONJ
ejpam-3400	41	2	the	the	DET
ejpam-3400	41	3	vaccination	vaccination	NOUN
ejpam-3400	41	4	is	be	AUX
ejpam-3400	41	5	administered	administer	VERB
ejpam-3400	41	6	to	to	ADP
ejpam-3400	41	7	the	the	DET
ejpam-3400	41	8	population	population	NOUN
ejpam-3400	41	9	,	,	PUNCT
ejpam-3400	41	10	the	the	DET
ejpam-3400	41	11	immunized	immunize	VERB
ejpam-3400	41	12	subjects	subject	NOUN
ejpam-3400	41	13	against	against	ADP
ejpam-3400	41	14	the	the	DET
ejpam-3400	41	15	disease	disease	NOUN
ejpam-3400	41	16	and	and	CCONJ
ejpam-3400	41	17	healed	heal	VERB
ejpam-3400	41	18	subjects	subject	NOUN
ejpam-3400	41	19	enter	enter	VERB
ejpam-3400	41	20	the	the	DET
ejpam-3400	41	21	compartment	compartment	NOUN
ejpam-3400	41	22	x4	x4	PRON
ejpam-3400	41	23	and	and	CCONJ
ejpam-3400	41	24	lose	lose	VERB
ejpam-3400	41	25	their	their	PRON
ejpam-3400	41	26	immunity	immunity	NOUN
ejpam-3400	41	27	h.	h.	PROPN
ejpam-3400	41	28	y.	y.	PROPN
ejpam-3400	41	29	talkibing	talkibing	PROPN
ejpam-3400	41	30	,	,	PUNCT
ejpam-3400	41	31	b.	b.	PROPN
ejpam-3400	41	32	diakarya	diakarya	PROPN
ejpam-3400	41	33	,	,	PUNCT
ejpam-3400	41	34	o.	o.	PROPN
ejpam-3400	41	35	fabrice	fabrice	PROPN
ejpam-3400	41	36	/	/	SYM
ejpam-3400	41	37	eur	eur	PROPN
ejpam-3400	41	38	.	.	PUNCT
ejpam-3400	42	1	j.	j.	PROPN
ejpam-3400	42	2	pure	pure	PROPN
ejpam-3400	42	3	appl	appl	PROPN
ejpam-3400	42	4	.	.	PROPN
ejpam-3400	42	5	math	math	PROPN
ejpam-3400	42	6	,	,	PUNCT
ejpam-3400	42	7	12	12	NUM
ejpam-3400	42	8	(	(	PUNCT
ejpam-3400	42	9	3	3	NUM
ejpam-3400	42	10	)	)	PUNCT
ejpam-3400	42	11	(	(	PUNCT
ejpam-3400	42	12	2019	2019	NUM
ejpam-3400	42	13	)	)	PUNCT
ejpam-3400	42	14	,	,	PUNCT
ejpam-3400	42	15	834	834	NUM
ejpam-3400	42	16	-	-	SYM
ejpam-3400	42	17	845	845	NUM
ejpam-3400	42	18	836	836	NUM
ejpam-3400	42	19	rate	rate	NOUN
ejpam-3400	42	20	significance	significance	NOUN
ejpam-3400	42	21	λ	λ	X
ejpam-3400	42	22	the	the	DET
ejpam-3400	42	23	rate	rate	NOUN
ejpam-3400	42	24	of	of	ADP
ejpam-3400	42	25	newborns	newborn	NOUN
ejpam-3400	42	26	α	α	VERB
ejpam-3400	42	27	the	the	DET
ejpam-3400	42	28	rate	rate	NOUN
ejpam-3400	42	29	of	of	ADP
ejpam-3400	42	30	attacks	attack	NOUN
ejpam-3400	42	31	of	of	ADP
ejpam-3400	42	32	the	the	DET
ejpam-3400	42	33	disease	disease	NOUN
ejpam-3400	42	34	β	β	X
ejpam-3400	42	35	the	the	DET
ejpam-3400	42	36	infection	infection	NOUN
ejpam-3400	42	37	rate	rate	NOUN
ejpam-3400	42	38	γ	γ	PROPN
ejpam-3400	42	39	recovery	recovery	NOUN
ejpam-3400	42	40	rate	rate	NOUN
ejpam-3400	42	41	θλ	θλ	ADP
ejpam-3400	42	42	the	the	DET
ejpam-3400	42	43	rate	rate	NOUN
ejpam-3400	42	44	of	of	ADP
ejpam-3400	42	45	newborns	newborn	NOUN
ejpam-3400	42	46	vaccinated	vaccinate	VERB
ejpam-3400	42	47	and	and	CCONJ
ejpam-3400	42	48	immunized	immunize	VERB
ejpam-3400	42	49	against	against	ADP
ejpam-3400	42	50	the	the	DET
ejpam-3400	42	51	disease	disease	NOUN
ejpam-3400	42	52	τ	τ	PROPN
ejpam-3400	42	53	the	the	DET
ejpam-3400	42	54	tau	tau	PROPN
ejpam-3400	42	55	of	of	ADP
ejpam-3400	42	56	individuals	individual	NOUN
ejpam-3400	42	57	healed	heal	VERB
ejpam-3400	42	58	but	but	CCONJ
ejpam-3400	42	59	having	having	AUX
ejpam-3400	42	60	lost	lose	VERB
ejpam-3400	42	61	temporary	temporary	ADJ
ejpam-3400	42	62	immunity	immunity	NOUN
ejpam-3400	42	63	η	η	PROPN
ejpam-3400	42	64	the	the	DET
ejpam-3400	42	65	tau	tau	PROPN
ejpam-3400	42	66	of	of	ADP
ejpam-3400	42	67	holy	holy	ADJ
ejpam-3400	42	68	individuals	individual	NOUN
ejpam-3400	42	69	vaccinated	vaccinate	VERB
ejpam-3400	42	70	and	and	CCONJ
ejpam-3400	42	71	immunized	immunize	VERB
ejpam-3400	42	72	against	against	ADP
ejpam-3400	42	73	the	the	DET
ejpam-3400	42	74	disease	disease	NOUN
ejpam-3400	42	75	θ	θ	PROPN
ejpam-3400	42	76	the	the	DET
ejpam-3400	42	77	tau	tau	PROPN
ejpam-3400	42	78	of	of	ADP
ejpam-3400	42	79	unvaccinated	unvaccinated	ADJ
ejpam-3400	42	80	newborns	newborn	NOUN
ejpam-3400	42	81	σi	σi	VERB
ejpam-3400	42	82	,	,	PUNCT
ejpam-3400	42	83	i	i	PRON
ejpam-3400	42	84	=	=	NOUN
ejpam-3400	42	85	1.4	1.4	NUM
ejpam-3400	42	86	rates	rate	NOUN
ejpam-3400	42	87	of	of	ADP
ejpam-3400	42	88	immigrant	immigrant	ADJ
ejpam-3400	42	89	individuals	individual	NOUN
ejpam-3400	42	90	in	in	ADP
ejpam-3400	42	91	different	different	ADJ
ejpam-3400	42	92	compartments	compartment	NOUN
ejpam-3400	43	1	µi	µi	INTJ
ejpam-3400	43	2	,	,	PUNCT
ejpam-3400	43	3	i	i	NOUN
ejpam-3400	43	4	=	=	NOUN
ejpam-3400	43	5	1.4	1.4	NUM
ejpam-3400	43	6	mortality	mortality	NOUN
ejpam-3400	43	7	rates	rate	NOUN
ejpam-3400	43	8	of	of	ADP
ejpam-3400	43	9	the	the	DET
ejpam-3400	43	10	different	different	ADJ
ejpam-3400	43	11	compartments	compartment	NOUN
ejpam-3400	43	12	independent	independent	ADJ
ejpam-3400	43	13	of	of	ADP
ejpam-3400	43	14	the	the	DET
ejpam-3400	43	15	disease	disease	NOUN
ejpam-3400	43	16	xi	xi	PROPN
ejpam-3400	43	17	,	,	PUNCT
ejpam-3400	43	18	i	i	PRON
ejpam-3400	43	19	=	=	NOUN
ejpam-3400	43	20	1	1	NUM
ejpam-3400	43	21	,	,	PUNCT
ejpam-3400	43	22	4	4	NUM
ejpam-3400	43	23	the	the	DET
ejpam-3400	43	24	steps	step	NOUN
ejpam-3400	43	25	in	in	ADP
ejpam-3400	43	26	the	the	DET
ejpam-3400	43	27	process	process	NOUN
ejpam-3400	43	28	against	against	ADP
ejpam-3400	43	29	this	this	DET
ejpam-3400	43	30	disease	disease	NOUN
ejpam-3400	43	31	after	after	ADP
ejpam-3400	43	32	a	a	DET
ejpam-3400	43	33	given	give	VERB
ejpam-3400	43	34	latent	latent	ADJ
ejpam-3400	43	35	period	period	NOUN
ejpam-3400	43	36	to	to	PART
ejpam-3400	43	37	become	become	VERB
ejpam-3400	43	38	susceptible	susceptible	ADJ
ejpam-3400	43	39	again	again	ADV
ejpam-3400	43	40	.	.	PUNCT
ejpam-3400	44	1	newborn	newborn	ADJ
ejpam-3400	44	2	unvaccinated	unvaccinate	VERB
ejpam-3400	44	3	enter	enter	VERB
ejpam-3400	44	4	the	the	DET
ejpam-3400	44	5	susceptible	susceptible	ADJ
ejpam-3400	44	6	compartment	compartment	NOUN
ejpam-3400	44	7	x1	x1	NUM
ejpam-3400	44	8	with	with	ADP
ejpam-3400	44	9	a	a	DET
ejpam-3400	44	10	rate	rate	NOUN
ejpam-3400	44	11	θ	θ	NOUN
ejpam-3400	44	12	=	=	SYM
ejpam-3400	44	13	1−	1−	NUM
ejpam-3400	44	14	λ	λ	NOUN
ejpam-3400	44	15	and	and	CCONJ
ejpam-3400	44	16	after	after	ADP
ejpam-3400	44	17	contact	contact	NOUN
ejpam-3400	44	18	with	with	ADP
ejpam-3400	44	19	an	an	DET
ejpam-3400	44	20	infected	infected	ADJ
ejpam-3400	44	21	subject	subject	NOUN
ejpam-3400	44	22	first	first	ADV
ejpam-3400	44	23	expose	expose	VERB
ejpam-3400	44	24	themselves	themselves	PRON
ejpam-3400	44	25	to	to	ADP
ejpam-3400	44	26	the	the	DET
ejpam-3400	44	27	disease	disease	NOUN
ejpam-3400	44	28	and	and	CCONJ
ejpam-3400	44	29	become	become	AUX
ejpam-3400	44	30	infected	infect	VERB
ejpam-3400	44	31	,	,	PUNCT
ejpam-3400	44	32	healed	heal	VERB
ejpam-3400	44	33	and	and	CCONJ
ejpam-3400	44	34	susceptible	susceptible	ADJ
ejpam-3400	44	35	again	again	ADV
ejpam-3400	44	36	according	accord	VERB
ejpam-3400	44	37	to	to	ADP
ejpam-3400	44	38	the	the	DET
ejpam-3400	44	39	diagram	diagram	NOUN
ejpam-3400	44	40	1	1	NUM
ejpam-3400	44	41	)	)	PUNCT
ejpam-3400	44	42	.	.	PUNCT
ejpam-3400	45	1	in	in	ADP
ejpam-3400	45	2	the	the	DET
ejpam-3400	45	3	case	case	NOUN
ejpam-3400	45	4	of	of	ADP
ejpam-3400	45	5	infectious	infectious	ADJ
ejpam-3400	45	6	diseases	disease	NOUN
ejpam-3400	45	7	,	,	PUNCT
ejpam-3400	45	8	the	the	DET
ejpam-3400	45	9	ideal	ideal	ADJ
ejpam-3400	45	10	objective	objective	NOUN
ejpam-3400	45	11	is	be	AUX
ejpam-3400	45	12	to	to	PART
ejpam-3400	45	13	eradicate	eradicate	VERB
ejpam-3400	45	14	these	these	DET
ejpam-3400	45	15	diseases	disease	NOUN
ejpam-3400	45	16	completely	completely	ADV
ejpam-3400	45	17	by	by	ADP
ejpam-3400	45	18	preventive	preventive	ADJ
ejpam-3400	45	19	measures	measure	NOUN
ejpam-3400	45	20	or	or	CCONJ
ejpam-3400	45	21	by	by	ADP
ejpam-3400	45	22	setting	set	VERB
ejpam-3400	45	23	up	up	ADP
ejpam-3400	45	24	a	a	DET
ejpam-3400	45	25	more	more	ADV
ejpam-3400	45	26	effective	effective	ADJ
ejpam-3400	45	27	mass	mass	NOUN
ejpam-3400	45	28	vaccination	vaccination	NOUN
ejpam-3400	45	29	program	program	NOUN
ejpam-3400	45	30	.	.	PUNCT
ejpam-3400	46	1	following	follow	VERB
ejpam-3400	46	2	the	the	DET
ejpam-3400	46	3	seir	seir	ADJ
ejpam-3400	46	4	and	and	CCONJ
ejpam-3400	46	5	seirs	seirs	NOUN
ejpam-3400	46	6	models	model	NOUN
ejpam-3400	46	7	with	with	ADP
ejpam-3400	46	8	vital	vital	ADJ
ejpam-3400	46	9	dynamics	dynamic	NOUN
ejpam-3400	46	10	,	,	PUNCT
ejpam-3400	46	11	anderson	anderson	PROPN
ejpam-3400	46	12	and	and	CCONJ
ejpam-3400	46	13	may	may	AUX
ejpam-3400	46	14	studied	study	VERB
ejpam-3400	46	15	vaccinations	vaccination	NOUN
ejpam-3400	46	16	applied	apply	VERB
ejpam-3400	46	17	to	to	ADP
ejpam-3400	46	18	the	the	DET
ejpam-3400	46	19	population	population	NOUN
ejpam-3400	47	1	[	[	X
ejpam-3400	47	2	7	7	NUM
ejpam-3400	47	3	]	]	PUNCT
ejpam-3400	47	4	.	.	PUNCT
ejpam-3400	48	1	figure	figure	NOUN
ejpam-3400	48	2	1	1	NUM
ejpam-3400	48	3	:	:	PUNCT
ejpam-3400	48	4	the	the	DET
ejpam-3400	48	5	propagation	propagation	NOUN
ejpam-3400	48	6	cycle	cycle	NOUN
ejpam-3400	48	7	of	of	ADP
ejpam-3400	48	8	the	the	DET
ejpam-3400	48	9	seirs	seirs	PROPN
ejpam-3400	48	10	epidemic	epidemic	NOUN
ejpam-3400	48	11	model	model	NOUN
ejpam-3400	48	12	transitions	transition	NOUN
ejpam-3400	48	13	intensities	intensity	NOUN
ejpam-3400	48	14	are	be	AUX
ejpam-3400	48	15	defined	define	VERB
ejpam-3400	48	16	as	as	ADP
ejpam-3400	48	17	a	a	DET
ejpam-3400	48	18	probability	probability	NOUN
ejpam-3400	48	19	limit	limit	NOUN
ejpam-3400	48	20	of	of	ADP
ejpam-3400	48	21	transitions	transition	NOUN
ejpam-3400	48	22	between	between	ADP
ejpam-3400	48	23	times	time	NOUN
ejpam-3400	48	24	t	t	PROPN
ejpam-3400	48	25	and	and	CCONJ
ejpam-3400	48	26	t	t	PROPN
ejpam-3400	49	1	+	+	CCONJ
ejpam-3400	49	2	dt	dt	PROPN
ejpam-3400	49	3	,	,	PUNCT
ejpam-3400	49	4	when	when	SCONJ
ejpam-3400	49	5	dt	dt	PROPN
ejpam-3400	49	6	tends	tend	VERB
ejpam-3400	49	7	to	to	ADP
ejpam-3400	49	8	zero	zero	NUM
ejpam-3400	49	9	[	[	X
ejpam-3400	49	10	4	4	NUM
ejpam-3400	49	11	]	]	PUNCT
ejpam-3400	49	12	.	.	PUNCT
ejpam-3400	50	1	under	under	ADP
ejpam-3400	50	2	the	the	DET
ejpam-3400	50	3	assumption	assumption	NOUN
ejpam-3400	50	4	of	of	ADP
ejpam-3400	50	5	the	the	DET
ejpam-3400	50	6	existence	existence	NOUN
ejpam-3400	50	7	of	of	ADP
ejpam-3400	50	8	these	these	DET
ejpam-3400	50	9	limits	limit	NOUN
ejpam-3400	50	10	,	,	PUNCT
ejpam-3400	50	11	let	let	VERB
ejpam-3400	50	12	’s	’s	PRON
ejpam-3400	50	13	determine	determine	VERB
ejpam-3400	50	14	the	the	DET
ejpam-3400	50	15	infinitesimal	infinitesimal	ADJ
ejpam-3400	50	16	probability	probability	NOUN
ejpam-3400	50	17	laws	law	NOUN
ejpam-3400	50	18	of	of	ADP
ejpam-3400	50	19	each	each	DET
ejpam-3400	50	20	process	process	NOUN
ejpam-3400	50	21	over	over	ADP
ejpam-3400	50	22	a	a	DET
ejpam-3400	50	23	small	small	ADJ
ejpam-3400	50	24	time	time	NOUN
ejpam-3400	50	25	interval	interval	NOUN
ejpam-3400	50	26	dt	dt	PROPN
ejpam-3400	50	27	.	.	PROPN
ejpam-3400	51	1	•	•	NUM
ejpam-3400	51	2	birth	birth	NOUN
ejpam-3400	51	3	and	and	CCONJ
ejpam-3400	51	4	emigration	emigration	NOUN
ejpam-3400	51	5	of	of	ADP
ejpam-3400	51	6	s	s	NOUN
ejpam-3400	51	7	:	:	PUNCT
ejpam-3400	51	8	once	once	SCONJ
ejpam-3400	51	9	the	the	DET
ejpam-3400	51	10	population	population	NOUN
ejpam-3400	51	11	are	be	AUX
ejpam-3400	51	12	vaccinated	vaccinate	VERB
ejpam-3400	51	13	,	,	PUNCT
ejpam-3400	51	14	the	the	DET
ejpam-3400	51	15	compartment	compartment	NOUN
ejpam-3400	51	16	s	s	PART
ejpam-3400	51	17	contains	contain	VERB
ejpam-3400	51	18	unimmunized	unimmunized	ADJ
ejpam-3400	51	19	indih	indih	NOUN
ejpam-3400	51	20	.	.	PUNCT
ejpam-3400	52	1	y.	y.	PROPN
ejpam-3400	52	2	talkibing	talkibing	PROPN
ejpam-3400	52	3	,	,	PUNCT
ejpam-3400	52	4	b.	b.	PROPN
ejpam-3400	52	5	diakarya	diakarya	PROPN
ejpam-3400	52	6	,	,	PUNCT
ejpam-3400	52	7	o.	o.	PROPN
ejpam-3400	52	8	fabrice	fabrice	PROPN
ejpam-3400	52	9	/	/	SYM
ejpam-3400	52	10	eur	eur	PROPN
ejpam-3400	52	11	.	.	PUNCT
ejpam-3400	53	1	j.	j.	PROPN
ejpam-3400	53	2	pure	pure	PROPN
ejpam-3400	53	3	appl	appl	PROPN
ejpam-3400	53	4	.	.	PROPN
ejpam-3400	53	5	math	math	PROPN
ejpam-3400	53	6	,	,	PUNCT
ejpam-3400	53	7	12	12	NUM
ejpam-3400	53	8	(	(	PUNCT
ejpam-3400	53	9	3	3	NUM
ejpam-3400	53	10	)	)	PUNCT
ejpam-3400	53	11	(	(	PUNCT
ejpam-3400	53	12	2019	2019	NUM
ejpam-3400	53	13	)	)	PUNCT
ejpam-3400	53	14	,	,	PUNCT
ejpam-3400	53	15	834	834	NUM
ejpam-3400	53	16	-	-	SYM
ejpam-3400	53	17	845	845	NUM
ejpam-3400	53	18	837	837	NUM
ejpam-3400	53	19	viduals	vidual	NOUN
ejpam-3400	53	20	who	who	PRON
ejpam-3400	53	21	are	be	AUX
ejpam-3400	53	22	therefore	therefore	ADV
ejpam-3400	53	23	susceptible	susceptible	ADJ
ejpam-3400	53	24	to	to	ADP
ejpam-3400	53	25	the	the	DET
ejpam-3400	53	26	disease	disease	NOUN
ejpam-3400	53	27	.	.	PUNCT
ejpam-3400	54	1	among	among	ADP
ejpam-3400	54	2	these	these	DET
ejpam-3400	54	3	individuals	individual	NOUN
ejpam-3400	54	4	are	be	AUX
ejpam-3400	54	5	immigrants	immigrant	NOUN
ejpam-3400	54	6	with	with	ADP
ejpam-3400	54	7	a	a	DET
ejpam-3400	54	8	rate	rate	NOUN
ejpam-3400	54	9	of	of	ADP
ejpam-3400	54	10	σ1	σ1	PROPN
ejpam-3400	54	11	from	from	ADP
ejpam-3400	54	12	another	another	DET
ejpam-3400	54	13	locality	locality	NOUN
ejpam-3400	54	14	and	and	CCONJ
ejpam-3400	54	15	newborns	newborn	NOUN
ejpam-3400	54	16	not	not	PART
ejpam-3400	54	17	immune	immune	ADJ
ejpam-3400	54	18	to	to	ADP
ejpam-3400	54	19	the	the	DET
ejpam-3400	54	20	disease	disease	NOUN
ejpam-3400	54	21	with	with	ADP
ejpam-3400	54	22	a	a	DET
ejpam-3400	54	23	rate	rate	NOUN
ejpam-3400	54	24	of	of	ADP
ejpam-3400	54	25	λ	λ	PROPN
ejpam-3400	54	26	.	.	PUNCT
ejpam-3400	55	1	the	the	DET
ejpam-3400	55	2	probability	probability	NOUN
ejpam-3400	55	3	that	that	SCONJ
ejpam-3400	55	4	there	there	PRON
ejpam-3400	55	5	will	will	AUX
ejpam-3400	55	6	be	be	AUX
ejpam-3400	55	7	a	a	DET
ejpam-3400	55	8	birth	birth	NOUN
ejpam-3400	55	9	and	and	CCONJ
ejpam-3400	55	10	then	then	ADV
ejpam-3400	55	11	immigration	immigration	NOUN
ejpam-3400	55	12	of	of	ADP
ejpam-3400	55	13	a	a	DET
ejpam-3400	55	14	susceptible	susceptible	ADJ
ejpam-3400	55	15	person	person	NOUN
ejpam-3400	55	16	in	in	ADP
ejpam-3400	55	17	the	the	DET
ejpam-3400	55	18	n	n	NUM
ejpam-3400	55	19	process	process	NOUN
ejpam-3400	55	20	state	state	NOUN
ejpam-3400	55	21	is	be	AUX
ejpam-3400	55	22	given	give	VERB
ejpam-3400	55	23	by	by	ADP
ejpam-3400	55	24	:	:	PUNCT
ejpam-3400	55	25	p	p	X
ejpam-3400	55	26			PROPN
ejpam-3400	55	27	s(t+	s(t+	NOUN
ejpam-3400	55	28	dt	dt	NOUN
ejpam-3400	55	29	)	)	PUNCT
ejpam-3400	55	30	=	=	SYM
ejpam-3400	55	31	n	n	CCONJ
ejpam-3400	55	32	/	/	SYM
ejpam-3400	55	33	s(t	s(t	PROPN
ejpam-3400	55	34	)	)	PUNCT
ejpam-3400	56	1	=	=	PUNCT
ejpam-3400	56	2	n−	n−	NOUN
ejpam-3400	56	3	1	1	NUM
ejpam-3400	56	4	e(t+	e(t+	ADV
ejpam-3400	56	5	dt	dt	NOUN
ejpam-3400	56	6	)	)	PUNCT
ejpam-3400	57	1	=	=	PUNCT
ejpam-3400	57	2	m	m	PROPN
ejpam-3400	57	3	/	/	SYM
ejpam-3400	57	4	e(t	e(t	NOUN
ejpam-3400	57	5	)	)	PUNCT
ejpam-3400	57	6	=	=	PUNCT
ejpam-3400	57	7	m	m	VERB
ejpam-3400	57	8	i(t+	i(t+	ADJ
ejpam-3400	57	9	dt	dt	NOUN
ejpam-3400	57	10	)	)	PUNCT
ejpam-3400	57	11	=	=	SYM
ejpam-3400	58	1	n	n	NOUN
ejpam-3400	58	2	′	′	NUM
ejpam-3400	58	3	/s(t	/s(t	PUNCT
ejpam-3400	58	4	)	)	PUNCT
ejpam-3400	59	1	=	=	SYM
ejpam-3400	59	2	n	n	NUM
ejpam-3400	59	3	′	′	NUM
ejpam-3400	59	4	r(t+	r(t+	NOUN
ejpam-3400	59	5	dt	dt	NOUN
ejpam-3400	59	6	)	)	PUNCT
ejpam-3400	59	7	=	=	PUNCT
ejpam-3400	60	1	m	m	VERB
ejpam-3400	60	2	′	′	NUM
ejpam-3400	60	3	/s(t	/s(t	PUNCT
ejpam-3400	60	4	)	)	PUNCT
ejpam-3400	61	1	=	=	PUNCT
ejpam-3400	61	2	m	m	VERB
ejpam-3400	61	3	′	′	NUM
ejpam-3400	61	4			NOUN
ejpam-3400	61	5	=	=	PUNCT
ejpam-3400	62	1	[	[	X
ejpam-3400	62	2	λ(1−	λ(1−	ADP
ejpam-3400	62	3	θ)(n−	θ)(n−	NOUN
ejpam-3400	62	4	1	1	NUM
ejpam-3400	62	5	)	)	PUNCT
ejpam-3400	62	6	+	+	CCONJ
ejpam-3400	62	7	σ1]dt+	σ1]dt+	NUM
ejpam-3400	62	8	0(dt	0(dt	NOUN
ejpam-3400	62	9	)	)	PUNCT
ejpam-3400	62	10	.	.	PUNCT
ejpam-3400	63	1	•	•	NUM
ejpam-3400	63	2	mortality	mortality	NOUN
ejpam-3400	63	3	of	of	ADP
ejpam-3400	63	4	s	s	PRON
ejpam-3400	63	5	:	:	PUNCT
ejpam-3400	63	6	the	the	DET
ejpam-3400	63	7	mortality	mortality	NOUN
ejpam-3400	63	8	rate	rate	NOUN
ejpam-3400	63	9	of	of	ADP
ejpam-3400	63	10	compartment	compartment	NOUN
ejpam-3400	63	11	s	s	PROPN
ejpam-3400	63	12	,	,	PUNCT
ejpam-3400	63	13	independent	independent	ADJ
ejpam-3400	63	14	of	of	ADP
ejpam-3400	63	15	the	the	DET
ejpam-3400	63	16	cause	cause	NOUN
ejpam-3400	63	17	of	of	ADP
ejpam-3400	63	18	the	the	DET
ejpam-3400	63	19	disease	disease	NOUN
ejpam-3400	63	20	,	,	PUNCT
ejpam-3400	63	21	is	be	AUX
ejpam-3400	63	22	µ1	µ1	PROPN
ejpam-3400	63	23	.	.	PUNCT
ejpam-3400	64	1	the	the	DET
ejpam-3400	64	2	probability	probability	NOUN
ejpam-3400	64	3	of	of	ADP
ejpam-3400	64	4	deaths	death	NOUN
ejpam-3400	64	5	in	in	ADP
ejpam-3400	64	6	state	state	NOUN
ejpam-3400	64	7	n	n	PROPN
ejpam-3400	64	8	of	of	ADP
ejpam-3400	64	9	the	the	DET
ejpam-3400	64	10	process	process	NOUN
ejpam-3400	64	11	is	be	AUX
ejpam-3400	64	12	given	give	VERB
ejpam-3400	64	13	by	by	ADP
ejpam-3400	64	14	:	:	PUNCT
ejpam-3400	64	15	p	p	X
ejpam-3400	64	16			PROPN
ejpam-3400	64	17	s(t+	s(t+	NOUN
ejpam-3400	64	18	dt	dt	NOUN
ejpam-3400	64	19	)	)	PUNCT
ejpam-3400	64	20	=	=	SYM
ejpam-3400	64	21	n	n	CCONJ
ejpam-3400	64	22	/	/	SYM
ejpam-3400	64	23	s(t	s(t	PROPN
ejpam-3400	64	24	)	)	PUNCT
ejpam-3400	64	25	=	=	PUNCT
ejpam-3400	65	1	n+	n+	ADP
ejpam-3400	65	2	1	1	NUM
ejpam-3400	65	3	e(t+	e(t+	ADV
ejpam-3400	65	4	dt	dt	NOUN
ejpam-3400	65	5	)	)	PUNCT
ejpam-3400	65	6	=	=	PUNCT
ejpam-3400	65	7	m	m	PROPN
ejpam-3400	65	8	/	/	SYM
ejpam-3400	65	9	e(t	e(t	NOUN
ejpam-3400	65	10	)	)	PUNCT
ejpam-3400	66	1	=	=	PUNCT
ejpam-3400	66	2	m	m	VERB
ejpam-3400	66	3	i(t+	i(t+	ADJ
ejpam-3400	66	4	dt	dt	NOUN
ejpam-3400	66	5	)	)	PUNCT
ejpam-3400	66	6	=	=	SYM
ejpam-3400	67	1	n	n	NOUN
ejpam-3400	67	2	′	′	NUM
ejpam-3400	67	3	/s(t	/s(t	PUNCT
ejpam-3400	67	4	)	)	PUNCT
ejpam-3400	68	1	=	=	SYM
ejpam-3400	68	2	n	n	NUM
ejpam-3400	68	3	′	′	NUM
ejpam-3400	68	4	r(t+	r(t+	NOUN
ejpam-3400	68	5	dt	dt	NOUN
ejpam-3400	68	6	)	)	PUNCT
ejpam-3400	68	7	=	=	PUNCT
ejpam-3400	69	1	m	m	VERB
ejpam-3400	69	2	′	′	NUM
ejpam-3400	69	3	/s(t	/s(t	PUNCT
ejpam-3400	69	4	)	)	PUNCT
ejpam-3400	70	1	=	=	PUNCT
ejpam-3400	71	1	m	m	VERB
ejpam-3400	71	2	′	′	NUM
ejpam-3400	71	3			NOUN
ejpam-3400	71	4	=	=	SYM
ejpam-3400	71	5	µ1dt+	µ1dt+	NUM
ejpam-3400	71	6	0(dt	0(dt	NOUN
ejpam-3400	71	7	)	)	PUNCT
ejpam-3400	71	8	.	.	PUNCT
ejpam-3400	72	1	•	•	NUM
ejpam-3400	72	2	transition	transition	NOUN
ejpam-3400	72	3	from	from	ADP
ejpam-3400	72	4	s	s	PRON
ejpam-3400	72	5	to	to	PART
ejpam-3400	72	6	e	e	NOUN
ejpam-3400	72	7	:	:	PUNCT
ejpam-3400	72	8	the	the	DET
ejpam-3400	72	9	individuals	individual	NOUN
ejpam-3400	72	10	in	in	ADP
ejpam-3400	72	11	compartment	compartment	NOUN
ejpam-3400	72	12	s	s	VERB
ejpam-3400	72	13	come	come	VERB
ejpam-3400	72	14	into	into	ADP
ejpam-3400	72	15	contact	contact	NOUN
ejpam-3400	72	16	with	with	ADP
ejpam-3400	72	17	infected	infected	ADJ
ejpam-3400	72	18	people	people	NOUN
ejpam-3400	72	19	at	at	ADP
ejpam-3400	72	20	a	a	DET
ejpam-3400	72	21	rate	rate	NOUN
ejpam-3400	72	22	of	of	ADP
ejpam-3400	72	23	α	α	NOUN
ejpam-3400	72	24	and	and	CCONJ
ejpam-3400	72	25	expose	expose	VERB
ejpam-3400	72	26	themselves	themselves	PRON
ejpam-3400	72	27	to	to	ADP
ejpam-3400	72	28	the	the	DET
ejpam-3400	72	29	disease	disease	NOUN
ejpam-3400	72	30	.	.	PUNCT
ejpam-3400	73	1	the	the	DET
ejpam-3400	73	2	probability	probability	NOUN
ejpam-3400	73	3	of	of	ADP
ejpam-3400	73	4	switching	switch	VERB
ejpam-3400	73	5	from	from	ADP
ejpam-3400	73	6	the	the	DET
ejpam-3400	73	7	n	n	DET
ejpam-3400	73	8	state	state	NOUN
ejpam-3400	73	9	to	to	ADP
ejpam-3400	73	10	the	the	DET
ejpam-3400	73	11	m	m	NOUN
ejpam-3400	73	12	state	state	NOUN
ejpam-3400	73	13	is	be	AUX
ejpam-3400	73	14	given	give	VERB
ejpam-3400	73	15	by	by	ADP
ejpam-3400	73	16	:	:	PUNCT
ejpam-3400	73	17	p	p	X
ejpam-3400	73	18			PROPN
ejpam-3400	73	19	s(t+	s(t+	NOUN
ejpam-3400	73	20	dt	dt	NOUN
ejpam-3400	73	21	)	)	PUNCT
ejpam-3400	73	22	=	=	SYM
ejpam-3400	73	23	n	n	CCONJ
ejpam-3400	73	24	/	/	SYM
ejpam-3400	73	25	s(t	s(t	PROPN
ejpam-3400	73	26	)	)	PUNCT
ejpam-3400	73	27	=	=	PUNCT
ejpam-3400	74	1	n+	n+	ADP
ejpam-3400	74	2	1	1	NUM
ejpam-3400	74	3	e(t+	e(t+	ADV
ejpam-3400	74	4	dt	dt	NOUN
ejpam-3400	74	5	)	)	PUNCT
ejpam-3400	74	6	=	=	PUNCT
ejpam-3400	74	7	m	m	PROPN
ejpam-3400	74	8	/	/	SYM
ejpam-3400	74	9	e(t	e(t	NOUN
ejpam-3400	74	10	)	)	PUNCT
ejpam-3400	75	1	=	=	SYM
ejpam-3400	75	2	m−	m−	PROPN
ejpam-3400	75	3	1	1	NUM
ejpam-3400	75	4	i(t+	i(t+	ADJ
ejpam-3400	75	5	dt	dt	NOUN
ejpam-3400	75	6	)	)	PUNCT
ejpam-3400	75	7	=	=	SYM
ejpam-3400	75	8	n	n	NOUN
ejpam-3400	75	9	′	′	NUM
ejpam-3400	75	10	/s(t	/s(t	PUNCT
ejpam-3400	75	11	)	)	PUNCT
ejpam-3400	76	1	=	=	SYM
ejpam-3400	76	2	n	n	NUM
ejpam-3400	76	3	′	′	NUM
ejpam-3400	76	4	r(t+	r(t+	NOUN
ejpam-3400	76	5	dt	dt	NOUN
ejpam-3400	76	6	)	)	PUNCT
ejpam-3400	76	7	=	=	PUNCT
ejpam-3400	77	1	m	m	VERB
ejpam-3400	77	2	′	′	NUM
ejpam-3400	77	3	/s(t	/s(t	PUNCT
ejpam-3400	77	4	)	)	PUNCT
ejpam-3400	78	1	=	=	PUNCT
ejpam-3400	78	2	m	m	VERB
ejpam-3400	78	3	′	′	NUM
ejpam-3400	78	4			NOUN
ejpam-3400	79	1	=	=	PUNCT
ejpam-3400	79	2	α(n+	α(n+	NUM
ejpam-3400	79	3	1)dt+	1)dt+	NUM
ejpam-3400	79	4	0(dt	0(dt	NOUN
ejpam-3400	79	5	)	)	PUNCT
ejpam-3400	80	1	•	•	NUM
ejpam-3400	80	2	mortality	mortality	NOUN
ejpam-3400	80	3	of	of	ADP
ejpam-3400	80	4	e	e	NOUN
ejpam-3400	80	5	:	:	PUNCT
ejpam-3400	80	6	the	the	DET
ejpam-3400	80	7	probability	probability	NOUN
ejpam-3400	80	8	of	of	ADP
ejpam-3400	80	9	deaths	death	NOUN
ejpam-3400	80	10	in	in	ADP
ejpam-3400	80	11	the	the	DET
ejpam-3400	80	12	m	m	PROPN
ejpam-3400	80	13	state	state	NOUN
ejpam-3400	80	14	of	of	ADP
ejpam-3400	80	15	the	the	DET
ejpam-3400	80	16	process	process	NOUN
ejpam-3400	80	17	is	be	AUX
ejpam-3400	80	18	given	give	VERB
ejpam-3400	80	19	by	by	ADP
ejpam-3400	80	20	:	:	PUNCT
ejpam-3400	80	21	p	p	X
ejpam-3400	80	22			PROPN
ejpam-3400	80	23	s(t+	s(t+	NOUN
ejpam-3400	80	24	dt	dt	NOUN
ejpam-3400	80	25	)	)	PUNCT
ejpam-3400	80	26	=	=	SYM
ejpam-3400	80	27	n	n	CCONJ
ejpam-3400	80	28	/	/	SYM
ejpam-3400	80	29	s(t	s(t	PROPN
ejpam-3400	80	30	)	)	PUNCT
ejpam-3400	80	31	=	=	PUNCT
ejpam-3400	81	1	n	n	CCONJ
ejpam-3400	81	2	e(t+	e(t+	ADV
ejpam-3400	81	3	dt	dt	NOUN
ejpam-3400	81	4	)	)	PUNCT
ejpam-3400	81	5	=	=	PUNCT
ejpam-3400	81	6	m	m	PROPN
ejpam-3400	81	7	/	/	SYM
ejpam-3400	81	8	e(t	e(t	NOUN
ejpam-3400	81	9	)	)	PUNCT
ejpam-3400	82	1	=	=	SYM
ejpam-3400	82	2	m−	m−	PROPN
ejpam-3400	82	3	1	1	NUM
ejpam-3400	82	4	i(t+	i(t+	ADJ
ejpam-3400	82	5	dt	dt	NOUN
ejpam-3400	82	6	)	)	PUNCT
ejpam-3400	82	7	=	=	SYM
ejpam-3400	82	8	n	n	NOUN
ejpam-3400	82	9	′	′	NUM
ejpam-3400	82	10	/s(t	/s(t	PUNCT
ejpam-3400	82	11	)	)	PUNCT
ejpam-3400	83	1	=	=	SYM
ejpam-3400	83	2	n	n	NUM
ejpam-3400	83	3	′	′	NUM
ejpam-3400	83	4	r(t+	r(t+	NOUN
ejpam-3400	83	5	dt	dt	NOUN
ejpam-3400	83	6	)	)	PUNCT
ejpam-3400	83	7	=	=	PUNCT
ejpam-3400	84	1	m	m	VERB
ejpam-3400	84	2	′	′	NUM
ejpam-3400	84	3	/s(t	/s(t	PUNCT
ejpam-3400	84	4	)	)	PUNCT
ejpam-3400	85	1	=	=	PUNCT
ejpam-3400	85	2	m	m	VERB
ejpam-3400	85	3	′	′	NUM
ejpam-3400	85	4			NOUN
ejpam-3400	85	5	=	=	PUNCT
ejpam-3400	85	6	µ2dt+	µ2dt+	NUM
ejpam-3400	85	7	0(dt	0(dt	NOUN
ejpam-3400	85	8	)	)	PUNCT
ejpam-3400	85	9	•	•	NUM
ejpam-3400	85	10	mortality	mortality	NOUN
ejpam-3400	85	11	of	of	ADP
ejpam-3400	85	12	i	i	PRON
ejpam-3400	85	13	:	:	PUNCT
ejpam-3400	85	14	the	the	DET
ejpam-3400	85	15	probability	probability	NOUN
ejpam-3400	85	16	that	that	SCONJ
ejpam-3400	85	17	there	there	PRON
ejpam-3400	85	18	will	will	AUX
ejpam-3400	85	19	be	be	AUX
ejpam-3400	85	20	deaths	death	NOUN
ejpam-3400	85	21	regardless	regardless	ADV
ejpam-3400	85	22	of	of	ADP
ejpam-3400	85	23	the	the	DET
ejpam-3400	85	24	cause	cause	NOUN
ejpam-3400	85	25	of	of	ADP
ejpam-3400	85	26	the	the	DET
ejpam-3400	85	27	disease	disease	NOUN
ejpam-3400	85	28	among	among	ADP
ejpam-3400	85	29	the	the	DET
ejpam-3400	85	30	infected	infected	NOUN
ejpam-3400	85	31	in	in	ADP
ejpam-3400	85	32	the	the	DET
ejpam-3400	85	33	n	n	NOUN
ejpam-3400	85	34	′	′	NUM
ejpam-3400	85	35	state	state	NOUN
ejpam-3400	85	36	of	of	ADP
ejpam-3400	85	37	the	the	DET
ejpam-3400	85	38	process	process	NOUN
ejpam-3400	85	39	is	be	AUX
ejpam-3400	85	40	given	give	VERB
ejpam-3400	85	41	by	by	ADP
ejpam-3400	85	42	:	:	PUNCT
ejpam-3400	85	43	h.	h.	PROPN
ejpam-3400	85	44	y.	y.	PROPN
ejpam-3400	85	45	talkibing	talkibing	PROPN
ejpam-3400	85	46	,	,	PUNCT
ejpam-3400	85	47	b.	b.	PROPN
ejpam-3400	85	48	diakarya	diakarya	PROPN
ejpam-3400	85	49	,	,	PUNCT
ejpam-3400	85	50	o.	o.	PROPN
ejpam-3400	85	51	fabrice	fabrice	PROPN
ejpam-3400	85	52	/	/	SYM
ejpam-3400	85	53	eur	eur	PROPN
ejpam-3400	85	54	.	.	PUNCT
ejpam-3400	86	1	j.	j.	PROPN
ejpam-3400	86	2	pure	pure	PROPN
ejpam-3400	86	3	appl	appl	PROPN
ejpam-3400	86	4	.	.	PROPN
ejpam-3400	86	5	math	math	PROPN
ejpam-3400	86	6	,	,	PUNCT
ejpam-3400	86	7	12	12	NUM
ejpam-3400	86	8	(	(	PUNCT
ejpam-3400	86	9	3	3	NUM
ejpam-3400	86	10	)	)	PUNCT
ejpam-3400	86	11	(	(	PUNCT
ejpam-3400	86	12	2019	2019	NUM
ejpam-3400	86	13	)	)	PUNCT
ejpam-3400	86	14	,	,	PUNCT
ejpam-3400	86	15	834	834	NUM
ejpam-3400	86	16	-	-	SYM
ejpam-3400	86	17	845	845	NUM
ejpam-3400	86	18	838	838	NUM
ejpam-3400	86	19	p	p	X
ejpam-3400	86	20			ADJ
ejpam-3400	86	21	s(t+	s(t+	NOUN
ejpam-3400	86	22	dt	dt	NOUN
ejpam-3400	86	23	)	)	PUNCT
ejpam-3400	86	24	=	=	SYM
ejpam-3400	86	25	n	n	CCONJ
ejpam-3400	86	26	/	/	SYM
ejpam-3400	86	27	s(t	s(t	PROPN
ejpam-3400	86	28	)	)	PUNCT
ejpam-3400	86	29	=	=	PUNCT
ejpam-3400	87	1	n	n	CCONJ
ejpam-3400	87	2	e(t+	e(t+	ADV
ejpam-3400	87	3	dt	dt	NOUN
ejpam-3400	87	4	)	)	PUNCT
ejpam-3400	87	5	=	=	PUNCT
ejpam-3400	87	6	m	m	PROPN
ejpam-3400	87	7	/	/	SYM
ejpam-3400	87	8	e(t	e(t	NOUN
ejpam-3400	87	9	)	)	PUNCT
ejpam-3400	88	1	=	=	VERB
ejpam-3400	88	2	m+	m+	NUM
ejpam-3400	88	3	1	1	NUM
ejpam-3400	88	4	i(t+	i(t+	ADJ
ejpam-3400	88	5	dt	dt	NOUN
ejpam-3400	88	6	)	)	PUNCT
ejpam-3400	88	7	=	=	SYM
ejpam-3400	88	8	n	n	NOUN
ejpam-3400	88	9	′	′	NUM
ejpam-3400	88	10	/s(t	/s(t	PUNCT
ejpam-3400	88	11	)	)	PUNCT
ejpam-3400	89	1	=	=	SYM
ejpam-3400	89	2	n	n	NUM
ejpam-3400	89	3	′	′	NUM
ejpam-3400	89	4	r(t+	r(t+	NOUN
ejpam-3400	89	5	dt	dt	NOUN
ejpam-3400	89	6	)	)	PUNCT
ejpam-3400	89	7	=	=	PUNCT
ejpam-3400	90	1	m	m	VERB
ejpam-3400	90	2	′	′	NUM
ejpam-3400	90	3	/s(t	/s(t	PUNCT
ejpam-3400	90	4	)	)	PUNCT
ejpam-3400	91	1	=	=	PUNCT
ejpam-3400	91	2	m	m	VERB
ejpam-3400	91	3	′	′	NUM
ejpam-3400	91	4			NOUN
ejpam-3400	91	5	=	=	SYM
ejpam-3400	91	6	µ3dt+	µ3dt+	NUM
ejpam-3400	91	7	0(dt	0(dt	NOUN
ejpam-3400	91	8	)	)	PUNCT
ejpam-3400	91	9	.	.	PUNCT
ejpam-3400	92	1	•	•	NUM
ejpam-3400	92	2	mortality	mortality	NOUN
ejpam-3400	92	3	of	of	ADP
ejpam-3400	92	4	r	r	NOUN
ejpam-3400	92	5	:	:	PUNCT
ejpam-3400	92	6	the	the	DET
ejpam-3400	92	7	probability	probability	NOUN
ejpam-3400	92	8	of	of	ADP
ejpam-3400	92	9	deaths	death	NOUN
ejpam-3400	92	10	among	among	ADP
ejpam-3400	92	11	people	people	NOUN
ejpam-3400	92	12	restored	restore	VERB
ejpam-3400	92	13	to	to	ADP
ejpam-3400	92	14	the	the	DET
ejpam-3400	92	15	m	m	NOUN
ejpam-3400	92	16	′	′	ADJ
ejpam-3400	92	17	state	state	NOUN
ejpam-3400	92	18	of	of	ADP
ejpam-3400	92	19	the	the	DET
ejpam-3400	92	20	process	process	NOUN
ejpam-3400	92	21	is	be	AUX
ejpam-3400	92	22	given	give	VERB
ejpam-3400	92	23	by	by	ADP
ejpam-3400	92	24	:	:	PUNCT
ejpam-3400	92	25	p	p	X
ejpam-3400	92	26			PROPN
ejpam-3400	92	27	s(t+	s(t+	NOUN
ejpam-3400	92	28	dt	dt	NOUN
ejpam-3400	92	29	)	)	PUNCT
ejpam-3400	92	30	=	=	SYM
ejpam-3400	92	31	n	n	CCONJ
ejpam-3400	92	32	/	/	SYM
ejpam-3400	92	33	s(t	s(t	PROPN
ejpam-3400	92	34	)	)	PUNCT
ejpam-3400	92	35	=	=	PUNCT
ejpam-3400	93	1	n	n	CCONJ
ejpam-3400	93	2	e(t+	e(t+	ADV
ejpam-3400	93	3	dt	dt	NOUN
ejpam-3400	93	4	)	)	PUNCT
ejpam-3400	93	5	=	=	PUNCT
ejpam-3400	93	6	m	m	PROPN
ejpam-3400	93	7	/	/	SYM
ejpam-3400	93	8	e(t	e(t	NOUN
ejpam-3400	93	9	)	)	PUNCT
ejpam-3400	94	1	=	=	PUNCT
ejpam-3400	94	2	m	m	VERB
ejpam-3400	94	3	i(t+	i(t+	ADJ
ejpam-3400	94	4	dt	dt	NOUN
ejpam-3400	94	5	)	)	PUNCT
ejpam-3400	94	6	=	=	SYM
ejpam-3400	95	1	n	n	NOUN
ejpam-3400	95	2	′	′	NUM
ejpam-3400	95	3	/s(t	/s(t	PUNCT
ejpam-3400	95	4	)	)	PUNCT
ejpam-3400	96	1	=	=	SYM
ejpam-3400	96	2	n	n	NUM
ejpam-3400	96	3	′	′	NUM
ejpam-3400	96	4	r(t+	r(t+	NOUN
ejpam-3400	96	5	dt	dt	NOUN
ejpam-3400	96	6	)	)	PUNCT
ejpam-3400	96	7	=	=	PUNCT
ejpam-3400	97	1	m	m	VERB
ejpam-3400	97	2	′	′	NUM
ejpam-3400	97	3	/s(t	/s(t	PUNCT
ejpam-3400	97	4	)	)	PUNCT
ejpam-3400	98	1	=	=	PUNCT
ejpam-3400	99	1	m	m	VERB
ejpam-3400	99	2	′	′	NUM
ejpam-3400	100	1	+	+	CCONJ
ejpam-3400	100	2	1	1	NUM
ejpam-3400	100	3			NOUN
ejpam-3400	100	4	=	=	SYM
ejpam-3400	100	5	µ4dt+	µ4dt+	X
ejpam-3400	100	6	0(dt	0(dt	NOUN
ejpam-3400	100	7	)	)	PUNCT
ejpam-3400	100	8	.	.	PUNCT
ejpam-3400	101	1	3	3	X
ejpam-3400	101	2	.	.	X
ejpam-3400	101	3	stochastic	stochastic	ADJ
ejpam-3400	101	4	probability	probability	NOUN
ejpam-3400	101	5	of	of	ADP
ejpam-3400	101	6	migration	migration	NOUN
ejpam-3400	101	7	and	and	CCONJ
ejpam-3400	101	8	transition	transition	NOUN
ejpam-3400	101	9	•	•	NUM
ejpam-3400	101	10	immigration	immigration	NOUN
ejpam-3400	101	11	of	of	ADP
ejpam-3400	101	12	e	e	NOUN
ejpam-3400	101	13	:	:	PUNCT
ejpam-3400	101	14	the	the	DET
ejpam-3400	101	15	compartment	compartment	NOUN
ejpam-3400	101	16	e	e	NOUN
ejpam-3400	101	17	contains	contain	VERB
ejpam-3400	101	18	people	people	NOUN
ejpam-3400	101	19	exposed	expose	VERB
ejpam-3400	101	20	to	to	ADP
ejpam-3400	101	21	the	the	DET
ejpam-3400	101	22	disease	disease	NOUN
ejpam-3400	101	23	after	after	ADP
ejpam-3400	101	24	contact	contact	NOUN
ejpam-3400	101	25	with	with	ADP
ejpam-3400	101	26	the	the	DET
ejpam-3400	101	27	patients	patient	NOUN
ejpam-3400	101	28	.	.	PUNCT
ejpam-3400	102	1	the	the	DET
ejpam-3400	102	2	probability	probability	NOUN
ejpam-3400	102	3	of	of	ADP
ejpam-3400	102	4	immigration	immigration	NOUN
ejpam-3400	102	5	at	at	ADP
ejpam-3400	102	6	the	the	DET
ejpam-3400	102	7	m	m	PROPN
ejpam-3400	102	8	state	state	NOUN
ejpam-3400	102	9	of	of	ADP
ejpam-3400	102	10	the	the	DET
ejpam-3400	102	11	process	process	NOUN
ejpam-3400	102	12	is	be	AUX
ejpam-3400	102	13	therefore	therefore	ADV
ejpam-3400	102	14	:	:	PUNCT
ejpam-3400	102	15	p	p	X
ejpam-3400	102	16			ADJ
ejpam-3400	102	17	s(t+	s(t+	NOUN
ejpam-3400	102	18	dt	dt	NOUN
ejpam-3400	102	19	)	)	PUNCT
ejpam-3400	102	20	=	=	SYM
ejpam-3400	102	21	n	n	CCONJ
ejpam-3400	102	22	/	/	SYM
ejpam-3400	102	23	s(t	s(t	PROPN
ejpam-3400	102	24	)	)	PUNCT
ejpam-3400	102	25	=	=	PUNCT
ejpam-3400	102	26	n	n	CCONJ
ejpam-3400	102	27	e(t+	e(t+	ADV
ejpam-3400	102	28	dt	dt	NOUN
ejpam-3400	102	29	)	)	PUNCT
ejpam-3400	103	1	=	=	PUNCT
ejpam-3400	103	2	m	m	PROPN
ejpam-3400	103	3	/	/	SYM
ejpam-3400	103	4	e(t	e(t	NOUN
ejpam-3400	103	5	)	)	PUNCT
ejpam-3400	104	1	=	=	SYM
ejpam-3400	104	2	m−	m−	PROPN
ejpam-3400	104	3	1	1	NUM
ejpam-3400	104	4	i(t+	i(t+	ADJ
ejpam-3400	104	5	dt	dt	NOUN
ejpam-3400	104	6	)	)	PUNCT
ejpam-3400	104	7	=	=	SYM
ejpam-3400	104	8	n	n	NOUN
ejpam-3400	104	9	′	′	NUM
ejpam-3400	104	10	/s(t	/s(t	PUNCT
ejpam-3400	104	11	)	)	PUNCT
ejpam-3400	105	1	=	=	SYM
ejpam-3400	105	2	n	n	NUM
ejpam-3400	105	3	′	′	NUM
ejpam-3400	105	4	r(t+	r(t+	NOUN
ejpam-3400	105	5	dt	dt	NOUN
ejpam-3400	105	6	)	)	PUNCT
ejpam-3400	105	7	=	=	PUNCT
ejpam-3400	106	1	m	m	VERB
ejpam-3400	106	2	′	′	NUM
ejpam-3400	106	3	/s(t	/s(t	PUNCT
ejpam-3400	106	4	)	)	PUNCT
ejpam-3400	107	1	=	=	PUNCT
ejpam-3400	107	2	m	m	VERB
ejpam-3400	107	3	′	′	NUM
ejpam-3400	107	4			NOUN
ejpam-3400	107	5	=	=	SYM
ejpam-3400	107	6	σ2dt+	σ2dt+	NOUN
ejpam-3400	107	7	0(dt	0(dt	NOUN
ejpam-3400	107	8	)	)	PUNCT
ejpam-3400	107	9	•	•	NUM
ejpam-3400	107	10	transition	transition	NOUN
ejpam-3400	107	11	from	from	ADP
ejpam-3400	107	12	e	e	PROPN
ejpam-3400	107	13	to	to	ADP
ejpam-3400	107	14	i	i	PRON
ejpam-3400	107	15	:	:	PUNCT
ejpam-3400	107	16	the	the	DET
ejpam-3400	107	17	exposed	expose	VERB
ejpam-3400	107	18	individuals	individual	NOUN
ejpam-3400	107	19	e	e	NOUN
ejpam-3400	107	20	,	,	PUNCT
ejpam-3400	107	21	become	become	VERB
ejpam-3400	107	22	infectious	infectious	ADJ
ejpam-3400	107	23	with	with	ADP
ejpam-3400	107	24	a	a	DET
ejpam-3400	107	25	rate	rate	NOUN
ejpam-3400	107	26	β	β	NOUN
ejpam-3400	107	27	and	and	CCONJ
ejpam-3400	107	28	the	the	DET
ejpam-3400	107	29	probability	probability	NOUN
ejpam-3400	107	30	of	of	ADP
ejpam-3400	107	31	passing	pass	VERB
ejpam-3400	107	32	from	from	ADP
ejpam-3400	107	33	the	the	DET
ejpam-3400	107	34	state	state	NOUN
ejpam-3400	107	35	m	m	NOUN
ejpam-3400	107	36	and	and	CCONJ
ejpam-3400	107	37	to	to	ADP
ejpam-3400	107	38	the	the	DET
ejpam-3400	107	39	state	state	NOUN
ejpam-3400	107	40	n	n	CCONJ
ejpam-3400	107	41	′	′	NUM
ejpam-3400	107	42	is	be	AUX
ejpam-3400	107	43	given	give	VERB
ejpam-3400	107	44	by	by	ADP
ejpam-3400	107	45	:	:	PUNCT
ejpam-3400	107	46	p	p	X
ejpam-3400	107	47			PROPN
ejpam-3400	107	48	s(t+	s(t+	NOUN
ejpam-3400	107	49	dt	dt	NOUN
ejpam-3400	107	50	)	)	PUNCT
ejpam-3400	107	51	=	=	SYM
ejpam-3400	107	52	n	n	CCONJ
ejpam-3400	107	53	/	/	SYM
ejpam-3400	107	54	s(t	s(t	PROPN
ejpam-3400	107	55	)	)	PUNCT
ejpam-3400	107	56	=	=	PUNCT
ejpam-3400	108	1	n	n	CCONJ
ejpam-3400	108	2	e(t+	e(t+	ADV
ejpam-3400	108	3	dt	dt	NOUN
ejpam-3400	108	4	)	)	PUNCT
ejpam-3400	108	5	=	=	PUNCT
ejpam-3400	108	6	m	m	PROPN
ejpam-3400	108	7	/	/	SYM
ejpam-3400	108	8	e(t	e(t	NOUN
ejpam-3400	108	9	)	)	PUNCT
ejpam-3400	109	1	=	=	VERB
ejpam-3400	109	2	m+	m+	NUM
ejpam-3400	109	3	1	1	NUM
ejpam-3400	109	4	i(t+	i(t+	ADJ
ejpam-3400	109	5	dt	dt	NOUN
ejpam-3400	109	6	)	)	PUNCT
ejpam-3400	109	7	=	=	SYM
ejpam-3400	109	8	n	n	NOUN
ejpam-3400	109	9	′	′	NUM
ejpam-3400	109	10	/s(t	/s(t	PUNCT
ejpam-3400	109	11	)	)	PUNCT
ejpam-3400	110	1	=	=	SYM
ejpam-3400	111	1	n	n	PRON
ejpam-3400	112	1	′	′	NUM
ejpam-3400	112	2	−	−	NUM
ejpam-3400	112	3	1	1	NUM
ejpam-3400	112	4	r(t+	r(t+	NOUN
ejpam-3400	112	5	dt	dt	NOUN
ejpam-3400	112	6	)	)	PUNCT
ejpam-3400	112	7	=	=	PUNCT
ejpam-3400	113	1	m	m	VERB
ejpam-3400	113	2	′	′	NUM
ejpam-3400	113	3	/s(t	/s(t	PUNCT
ejpam-3400	113	4	)	)	PUNCT
ejpam-3400	114	1	=	=	PUNCT
ejpam-3400	114	2	m	m	VERB
ejpam-3400	114	3	′	′	NUM
ejpam-3400	114	4			NOUN
ejpam-3400	114	5	=	=	PUNCT
ejpam-3400	114	6	β(m+	β(m+	SYM
ejpam-3400	114	7	1)dt+	1)dt+	NUM
ejpam-3400	114	8	0(dt	0(dt	NOUN
ejpam-3400	114	9	)	)	PUNCT
ejpam-3400	114	10	•	•	NUM
ejpam-3400	114	11	immigration	immigration	NOUN
ejpam-3400	114	12	of	of	ADP
ejpam-3400	114	13	i	i	PRON
ejpam-3400	114	14	:	:	PUNCT
ejpam-3400	114	15	the	the	DET
ejpam-3400	114	16	probability	probability	NOUN
ejpam-3400	114	17	of	of	ADP
ejpam-3400	114	18	immigration	immigration	NOUN
ejpam-3400	114	19	to	to	ADP
ejpam-3400	114	20	the	the	DET
ejpam-3400	114	21	state	state	NOUN
ejpam-3400	114	22	n	n	ADV
ejpam-3400	114	23	′	′	NUM
ejpam-3400	114	24	of	of	ADP
ejpam-3400	114	25	the	the	DET
ejpam-3400	114	26	process	process	NOUN
ejpam-3400	114	27	in	in	ADP
ejpam-3400	114	28	compartment	compartment	NOUN
ejpam-3400	114	29	i	i	PRON
ejpam-3400	114	30	is	be	AUX
ejpam-3400	114	31	:	:	PUNCT
ejpam-3400	114	32	p	p	X
ejpam-3400	114	33			ADJ
ejpam-3400	114	34	s(t+	s(t+	NOUN
ejpam-3400	114	35	dt	dt	NOUN
ejpam-3400	114	36	)	)	PUNCT
ejpam-3400	114	37	=	=	SYM
ejpam-3400	114	38	n	n	CCONJ
ejpam-3400	114	39	/	/	SYM
ejpam-3400	114	40	s(t	s(t	PROPN
ejpam-3400	114	41	)	)	PUNCT
ejpam-3400	114	42	=	=	PUNCT
ejpam-3400	115	1	n	n	CCONJ
ejpam-3400	115	2	e(t+	e(t+	ADV
ejpam-3400	115	3	dt	dt	NOUN
ejpam-3400	115	4	)	)	PUNCT
ejpam-3400	115	5	=	=	PUNCT
ejpam-3400	115	6	m	m	PROPN
ejpam-3400	115	7	/	/	SYM
ejpam-3400	115	8	e(t	e(t	NOUN
ejpam-3400	115	9	)	)	PUNCT
ejpam-3400	116	1	=	=	PUNCT
ejpam-3400	116	2	m	m	VERB
ejpam-3400	116	3	i(t+	i(t+	ADJ
ejpam-3400	116	4	dt	dt	NOUN
ejpam-3400	116	5	)	)	PUNCT
ejpam-3400	116	6	=	=	SYM
ejpam-3400	117	1	n	n	NOUN
ejpam-3400	117	2	′	′	NUM
ejpam-3400	117	3	/s(t	/s(t	PUNCT
ejpam-3400	117	4	)	)	PUNCT
ejpam-3400	118	1	=	=	SYM
ejpam-3400	119	1	n	n	PRON
ejpam-3400	120	1	′	′	NUM
ejpam-3400	120	2	−	−	NUM
ejpam-3400	120	3	1	1	NUM
ejpam-3400	120	4	r(t+	r(t+	NOUN
ejpam-3400	120	5	dt	dt	NOUN
ejpam-3400	120	6	)	)	PUNCT
ejpam-3400	120	7	=	=	PUNCT
ejpam-3400	121	1	m	m	VERB
ejpam-3400	121	2	′	′	NUM
ejpam-3400	121	3	/s(t	/s(t	PUNCT
ejpam-3400	121	4	)	)	PUNCT
ejpam-3400	122	1	=	=	PUNCT
ejpam-3400	123	1	m	m	VERB
ejpam-3400	123	2	′	′	NUM
ejpam-3400	123	3			NOUN
ejpam-3400	123	4	=	=	SYM
ejpam-3400	123	5	σ3dt+	σ3dt+	NOUN
ejpam-3400	123	6	0(dt	0(dt	PROPN
ejpam-3400	123	7	)	)	PUNCT
ejpam-3400	123	8	h.	h.	PROPN
ejpam-3400	123	9	y.	y.	PROPN
ejpam-3400	123	10	talkibing	talkibing	PROPN
ejpam-3400	123	11	,	,	PUNCT
ejpam-3400	123	12	b.	b.	PROPN
ejpam-3400	123	13	diakarya	diakarya	PROPN
ejpam-3400	123	14	,	,	PUNCT
ejpam-3400	123	15	o.	o.	PROPN
ejpam-3400	123	16	fabrice	fabrice	PROPN
ejpam-3400	123	17	/	/	SYM
ejpam-3400	123	18	eur	eur	PROPN
ejpam-3400	123	19	.	.	PUNCT
ejpam-3400	124	1	j.	j.	PROPN
ejpam-3400	124	2	pure	pure	PROPN
ejpam-3400	124	3	appl	appl	PROPN
ejpam-3400	124	4	.	.	PROPN
ejpam-3400	124	5	math	math	PROPN
ejpam-3400	124	6	,	,	PUNCT
ejpam-3400	124	7	12	12	NUM
ejpam-3400	124	8	(	(	PUNCT
ejpam-3400	124	9	3	3	NUM
ejpam-3400	124	10	)	)	PUNCT
ejpam-3400	124	11	(	(	PUNCT
ejpam-3400	124	12	2019	2019	NUM
ejpam-3400	124	13	)	)	PUNCT
ejpam-3400	124	14	,	,	PUNCT
ejpam-3400	124	15	834	834	NUM
ejpam-3400	124	16	-	-	SYM
ejpam-3400	124	17	845	845	NUM
ejpam-3400	124	18	839	839	NUM
ejpam-3400	124	19	•	•	NOUN
ejpam-3400	124	20	transition	transition	NOUN
ejpam-3400	124	21	from	from	ADP
ejpam-3400	124	22	i	i	PRON
ejpam-3400	124	23	to	to	ADP
ejpam-3400	124	24	r	r	NOUN
ejpam-3400	124	25	:	:	PUNCT
ejpam-3400	124	26	infected	infect	VERB
ejpam-3400	124	27	individuals	individual	NOUN
ejpam-3400	124	28	i	i	PRON
ejpam-3400	124	29	heal	heal	VERB
ejpam-3400	124	30	with	with	ADP
ejpam-3400	124	31	a	a	DET
ejpam-3400	124	32	rate	rate	NOUN
ejpam-3400	124	33	of	of	ADP
ejpam-3400	124	34	gammama	gammama	NOUN
ejpam-3400	124	35	.	.	PUNCT
ejpam-3400	125	1	the	the	DET
ejpam-3400	125	2	probability	probability	NOUN
ejpam-3400	125	3	of	of	ADP
ejpam-3400	125	4	switching	switch	VERB
ejpam-3400	125	5	from	from	ADP
ejpam-3400	125	6	the	the	DET
ejpam-3400	125	7	state	state	NOUN
ejpam-3400	125	8	n	n	ADV
ejpam-3400	125	9	′	′	NOUN
ejpam-3400	125	10	and	and	CCONJ
ejpam-3400	125	11	to	to	ADP
ejpam-3400	125	12	the	the	DET
ejpam-3400	125	13	state	state	NOUN
ejpam-3400	125	14	m	m	VERB
ejpam-3400	125	15	′	′	NOUN
ejpam-3400	125	16	is	be	AUX
ejpam-3400	125	17	given	give	VERB
ejpam-3400	125	18	by	by	ADP
ejpam-3400	125	19	:	:	PUNCT
ejpam-3400	125	20	p	p	X
ejpam-3400	125	21			PROPN
ejpam-3400	125	22	s(t+	s(t+	NOUN
ejpam-3400	125	23	dt	dt	NOUN
ejpam-3400	125	24	)	)	PUNCT
ejpam-3400	125	25	=	=	SYM
ejpam-3400	125	26	n	n	CCONJ
ejpam-3400	125	27	/	/	SYM
ejpam-3400	125	28	s(t	s(t	PROPN
ejpam-3400	125	29	)	)	PUNCT
ejpam-3400	125	30	=	=	PUNCT
ejpam-3400	126	1	n	n	CCONJ
ejpam-3400	126	2	e(t+	e(t+	ADV
ejpam-3400	126	3	dt	dt	NOUN
ejpam-3400	126	4	)	)	PUNCT
ejpam-3400	126	5	=	=	PUNCT
ejpam-3400	126	6	m	m	PROPN
ejpam-3400	126	7	/	/	SYM
ejpam-3400	126	8	e(t	e(t	NOUN
ejpam-3400	126	9	)	)	PUNCT
ejpam-3400	127	1	=	=	PUNCT
ejpam-3400	127	2	m	m	VERB
ejpam-3400	127	3	i(t+	i(t+	ADJ
ejpam-3400	127	4	dt	dt	NOUN
ejpam-3400	127	5	)	)	PUNCT
ejpam-3400	127	6	=	=	SYM
ejpam-3400	128	1	n	n	NOUN
ejpam-3400	128	2	′	′	NUM
ejpam-3400	128	3	/s(t	/s(t	PUNCT
ejpam-3400	128	4	)	)	PUNCT
ejpam-3400	129	1	=	=	SYM
ejpam-3400	129	2	n	n	PRON
ejpam-3400	130	1	′	′	NOUN
ejpam-3400	131	1	+	+	CCONJ
ejpam-3400	131	2	1	1	NUM
ejpam-3400	131	3	r(t+	r(t+	NOUN
ejpam-3400	131	4	dt	dt	NOUN
ejpam-3400	131	5	)	)	PUNCT
ejpam-3400	131	6	=	=	PUNCT
ejpam-3400	132	1	m	m	VERB
ejpam-3400	132	2	′	′	NUM
ejpam-3400	132	3	/s(t	/s(t	PUNCT
ejpam-3400	132	4	)	)	PUNCT
ejpam-3400	133	1	=	=	PUNCT
ejpam-3400	134	1	m	m	VERB
ejpam-3400	134	2	′	′	NUM
ejpam-3400	134	3	−	−	NUM
ejpam-3400	134	4	1	1	NUM
ejpam-3400	134	5			NOUN
ejpam-3400	134	6	=	=	NOUN
ejpam-3400	134	7	γ(n3	γ(n3	NOUN
ejpam-3400	134	8	+	+	CCONJ
ejpam-3400	134	9	1)dt+	1)dt+	NUM
ejpam-3400	134	10	0(dt	0(dt	NOUN
ejpam-3400	134	11	)	)	PUNCT
ejpam-3400	134	12	•	•	NUM
ejpam-3400	134	13	immigration	immigration	NOUN
ejpam-3400	134	14	of	of	ADP
ejpam-3400	134	15	r	r	NOUN
ejpam-3400	134	16	:	:	PUNCT
ejpam-3400	134	17	the	the	DET
ejpam-3400	134	18	probability	probability	NOUN
ejpam-3400	134	19	of	of	ADP
ejpam-3400	134	20	immigration	immigration	NOUN
ejpam-3400	134	21	in	in	ADP
ejpam-3400	134	22	compartment	compartment	NOUN
ejpam-3400	134	23	r	r	NOUN
ejpam-3400	134	24	in	in	ADP
ejpam-3400	134	25	the	the	DET
ejpam-3400	134	26	m	m	NOUN
ejpam-3400	134	27	′	′	ADJ
ejpam-3400	134	28	state	state	NOUN
ejpam-3400	134	29	of	of	ADP
ejpam-3400	134	30	the	the	DET
ejpam-3400	134	31	process	process	NOUN
ejpam-3400	134	32	is	be	AUX
ejpam-3400	134	33	:	:	PUNCT
ejpam-3400	134	34	p	p	X
ejpam-3400	134	35			ADJ
ejpam-3400	134	36	s(t+	s(t+	NOUN
ejpam-3400	134	37	dt	dt	NOUN
ejpam-3400	134	38	)	)	PUNCT
ejpam-3400	134	39	=	=	SYM
ejpam-3400	134	40	n	n	CCONJ
ejpam-3400	134	41	/	/	SYM
ejpam-3400	134	42	s(t	s(t	PROPN
ejpam-3400	134	43	)	)	PUNCT
ejpam-3400	134	44	=	=	PUNCT
ejpam-3400	135	1	n	n	CCONJ
ejpam-3400	135	2	e(t+	e(t+	ADV
ejpam-3400	135	3	dt	dt	NOUN
ejpam-3400	135	4	)	)	PUNCT
ejpam-3400	135	5	=	=	PUNCT
ejpam-3400	135	6	m	m	PROPN
ejpam-3400	135	7	/	/	SYM
ejpam-3400	135	8	e(t	e(t	NOUN
ejpam-3400	135	9	)	)	PUNCT
ejpam-3400	136	1	=	=	PUNCT
ejpam-3400	136	2	m	m	VERB
ejpam-3400	136	3	i(t+	i(t+	ADJ
ejpam-3400	136	4	dt	dt	NOUN
ejpam-3400	136	5	)	)	PUNCT
ejpam-3400	136	6	=	=	SYM
ejpam-3400	137	1	n	n	NOUN
ejpam-3400	137	2	′	′	NUM
ejpam-3400	137	3	/s(t	/s(t	PUNCT
ejpam-3400	137	4	)	)	PUNCT
ejpam-3400	138	1	=	=	SYM
ejpam-3400	138	2	n	n	NUM
ejpam-3400	138	3	′	′	NUM
ejpam-3400	138	4	r(t+	r(t+	NOUN
ejpam-3400	138	5	dt	dt	NOUN
ejpam-3400	138	6	)	)	PUNCT
ejpam-3400	138	7	=	=	PUNCT
ejpam-3400	139	1	m	m	VERB
ejpam-3400	139	2	′	′	NUM
ejpam-3400	139	3	/s(t	/s(t	PUNCT
ejpam-3400	139	4	)	)	PUNCT
ejpam-3400	140	1	=	=	PUNCT
ejpam-3400	141	1	m	m	VERB
ejpam-3400	141	2	′	′	NUM
ejpam-3400	141	3	−	−	NUM
ejpam-3400	141	4	1	1	NUM
ejpam-3400	141	5			NOUN
ejpam-3400	141	6	=	=	PUNCT
ejpam-3400	142	1	[	[	X
ejpam-3400	142	2	σ4	σ4	NOUN
ejpam-3400	142	3	+	+	CCONJ
ejpam-3400	142	4	θλ]dt+	θλ]dt+	PROPN
ejpam-3400	142	5	0(dt	0(dt	NOUN
ejpam-3400	142	6	)	)	PUNCT
ejpam-3400	142	7	•	•	NUM
ejpam-3400	142	8	transition	transition	NOUN
ejpam-3400	142	9	from	from	ADP
ejpam-3400	142	10	r	r	NOUN
ejpam-3400	142	11	to	to	ADP
ejpam-3400	142	12	s	s	PRON
ejpam-3400	142	13	:	:	PUNCT
ejpam-3400	142	14	recovered	recovered	ADJ
ejpam-3400	142	15	people	people	NOUN
ejpam-3400	142	16	become	become	VERB
ejpam-3400	142	17	susceptible	susceptible	ADJ
ejpam-3400	142	18	again	again	ADV
ejpam-3400	142	19	with	with	ADP
ejpam-3400	142	20	a	a	DET
ejpam-3400	142	21	rate	rate	NOUN
ejpam-3400	142	22	of	of	ADP
ejpam-3400	142	23	tau	tau	PROPN
ejpam-3400	142	24	.	.	PUNCT
ejpam-3400	143	1	the	the	DET
ejpam-3400	143	2	probability	probability	NOUN
ejpam-3400	143	3	of	of	ADP
ejpam-3400	143	4	switching	switch	VERB
ejpam-3400	143	5	from	from	ADP
ejpam-3400	143	6	the	the	DET
ejpam-3400	143	7	state	state	NOUN
ejpam-3400	143	8	m	m	NOUN
ejpam-3400	143	9	′	′	NOUN
ejpam-3400	143	10	and	and	CCONJ
ejpam-3400	143	11	to	to	ADP
ejpam-3400	143	12	the	the	DET
ejpam-3400	143	13	state	state	NOUN
ejpam-3400	143	14	n	n	CCONJ
ejpam-3400	143	15	′	′	NOUN
ejpam-3400	143	16	is	be	AUX
ejpam-3400	143	17	therefore	therefore	ADV
ejpam-3400	143	18	:	:	PUNCT
ejpam-3400	143	19	p	p	X
ejpam-3400	143	20			ADJ
ejpam-3400	143	21	s(t+	s(t+	NOUN
ejpam-3400	143	22	dt	dt	NOUN
ejpam-3400	143	23	)	)	PUNCT
ejpam-3400	143	24	=	=	SYM
ejpam-3400	143	25	n	n	CCONJ
ejpam-3400	143	26	/	/	SYM
ejpam-3400	143	27	s(t	s(t	PROPN
ejpam-3400	143	28	)	)	PUNCT
ejpam-3400	144	1	=	=	PUNCT
ejpam-3400	144	2	n−	n−	NOUN
ejpam-3400	144	3	1	1	NUM
ejpam-3400	144	4	e(t+	e(t+	ADV
ejpam-3400	144	5	dt	dt	NOUN
ejpam-3400	144	6	)	)	PUNCT
ejpam-3400	145	1	=	=	PUNCT
ejpam-3400	145	2	m	m	PROPN
ejpam-3400	145	3	/	/	SYM
ejpam-3400	145	4	e(t	e(t	NOUN
ejpam-3400	145	5	)	)	PUNCT
ejpam-3400	145	6	=	=	PUNCT
ejpam-3400	145	7	m	m	VERB
ejpam-3400	145	8	i(t+	i(t+	ADJ
ejpam-3400	145	9	dt	dt	NOUN
ejpam-3400	145	10	)	)	PUNCT
ejpam-3400	145	11	=	=	SYM
ejpam-3400	146	1	n	n	NOUN
ejpam-3400	146	2	′	′	NUM
ejpam-3400	146	3	/s(t	/s(t	PUNCT
ejpam-3400	146	4	)	)	PUNCT
ejpam-3400	147	1	=	=	SYM
ejpam-3400	147	2	n	n	NUM
ejpam-3400	147	3	′	′	NUM
ejpam-3400	147	4	r(t+	r(t+	NOUN
ejpam-3400	147	5	dt	dt	NOUN
ejpam-3400	147	6	)	)	PUNCT
ejpam-3400	147	7	=	=	PUNCT
ejpam-3400	148	1	m	m	VERB
ejpam-3400	148	2	′	′	NUM
ejpam-3400	148	3	/r(t	/r(t	PUNCT
ejpam-3400	148	4	)	)	PUNCT
ejpam-3400	149	1	=	=	PUNCT
ejpam-3400	150	1	m	m	VERB
ejpam-3400	150	2	′	′	NUM
ejpam-3400	151	1	+	+	CCONJ
ejpam-3400	151	2	1	1	NUM
ejpam-3400	151	3			NOUN
ejpam-3400	151	4	=	=	NOUN
ejpam-3400	151	5	τ(n4	τ(n4	NOUN
ejpam-3400	151	6	+	+	CCONJ
ejpam-3400	151	7	1)dt+	1)dt+	NUM
ejpam-3400	151	8	0(dt	0(dt	NOUN
ejpam-3400	151	9	)	)	PUNCT
ejpam-3400	151	10	.	.	PUNCT
ejpam-3400	152	1	•	•	NUM
ejpam-3400	152	2	transition	transition	NOUN
ejpam-3400	152	3	from	from	ADP
ejpam-3400	152	4	s	s	PRON
ejpam-3400	152	5	to	to	PART
ejpam-3400	152	6	r	r	NOUN
ejpam-3400	152	7	:	:	PUNCT
ejpam-3400	152	8	individuals	individual	NOUN
ejpam-3400	152	9	immunized	immunize	VERB
ejpam-3400	152	10	against	against	ADP
ejpam-3400	152	11	the	the	DET
ejpam-3400	152	12	disease	disease	NOUN
ejpam-3400	152	13	with	with	ADP
ejpam-3400	152	14	a	a	DET
ejpam-3400	152	15	rate	rate	NOUN
ejpam-3400	152	16	of	of	ADP
ejpam-3400	152	17	τ	τ	PROPN
ejpam-3400	152	18	after	after	ADP
ejpam-3400	152	19	direct	direct	ADJ
ejpam-3400	152	20	vaccination	vaccination	NOUN
ejpam-3400	152	21	coverage	coverage	NOUN
ejpam-3400	152	22	integrate	integrate	VERB
ejpam-3400	152	23	the	the	DET
ejpam-3400	152	24	r	r	NOUN
ejpam-3400	152	25	compartments	compartment	NOUN
ejpam-3400	152	26	.	.	PUNCT
ejpam-3400	153	1	the	the	DET
ejpam-3400	153	2	probability	probability	NOUN
ejpam-3400	153	3	of	of	ADP
ejpam-3400	153	4	transition	transition	NOUN
ejpam-3400	153	5	from	from	ADP
ejpam-3400	153	6	the	the	DET
ejpam-3400	153	7	n	n	DET
ejpam-3400	153	8	state	state	NOUN
ejpam-3400	153	9	to	to	ADP
ejpam-3400	153	10	the	the	DET
ejpam-3400	153	11	m	m	NOUN
ejpam-3400	153	12	′	′	ADJ
ejpam-3400	153	13	state	state	NOUN
ejpam-3400	153	14	is	be	AUX
ejpam-3400	153	15	therefore	therefore	ADV
ejpam-3400	153	16	:	:	PUNCT
ejpam-3400	153	17	p	p	X
ejpam-3400	153	18			ADJ
ejpam-3400	153	19	s(t+	s(t+	NOUN
ejpam-3400	153	20	dt	dt	NOUN
ejpam-3400	153	21	)	)	PUNCT
ejpam-3400	153	22	=	=	SYM
ejpam-3400	153	23	n	n	CCONJ
ejpam-3400	153	24	/	/	SYM
ejpam-3400	153	25	s(t	s(t	PROPN
ejpam-3400	153	26	)	)	PUNCT
ejpam-3400	153	27	=	=	PUNCT
ejpam-3400	154	1	n+	n+	ADP
ejpam-3400	154	2	1	1	NUM
ejpam-3400	154	3	e(t+	e(t+	ADV
ejpam-3400	154	4	dt	dt	NOUN
ejpam-3400	154	5	)	)	PUNCT
ejpam-3400	154	6	=	=	PUNCT
ejpam-3400	154	7	m	m	PROPN
ejpam-3400	154	8	/	/	SYM
ejpam-3400	154	9	e(t	e(t	NOUN
ejpam-3400	154	10	)	)	PUNCT
ejpam-3400	155	1	=	=	PUNCT
ejpam-3400	155	2	m	m	VERB
ejpam-3400	155	3	i(t+	i(t+	ADJ
ejpam-3400	155	4	dt	dt	NOUN
ejpam-3400	155	5	)	)	PUNCT
ejpam-3400	155	6	=	=	SYM
ejpam-3400	156	1	n	n	NOUN
ejpam-3400	156	2	′	′	NUM
ejpam-3400	156	3	/s(t	/s(t	PUNCT
ejpam-3400	156	4	)	)	PUNCT
ejpam-3400	157	1	=	=	SYM
ejpam-3400	157	2	n	n	NUM
ejpam-3400	157	3	′	′	NUM
ejpam-3400	157	4	r(t+	r(t+	NOUN
ejpam-3400	157	5	dt	dt	NOUN
ejpam-3400	157	6	)	)	PUNCT
ejpam-3400	157	7	=	=	PUNCT
ejpam-3400	158	1	m	m	VERB
ejpam-3400	158	2	′	′	NUM
ejpam-3400	158	3	/s(t	/s(t	PUNCT
ejpam-3400	158	4	)	)	PUNCT
ejpam-3400	159	1	=	=	PUNCT
ejpam-3400	160	1	m	m	VERB
ejpam-3400	160	2	′	′	NUM
ejpam-3400	161	1	−	−	NUM
ejpam-3400	161	2	1	1	NUM
ejpam-3400	161	3			NOUN
ejpam-3400	161	4	=	=	PUNCT
ejpam-3400	161	5	η(n+	η(n+	NOUN
ejpam-3400	161	6	3)dt+	3)dt+	NUM
ejpam-3400	161	7	0(dt	0(dt	NOUN
ejpam-3400	161	8	)	)	PUNCT
ejpam-3400	161	9	.	.	PUNCT
ejpam-3400	162	1	4	4	X
ejpam-3400	162	2	.	.	X
ejpam-3400	162	3	stochastic	stochastic	ADJ
ejpam-3400	162	4	and	and	CCONJ
ejpam-3400	162	5	linear	linear	ADJ
ejpam-3400	162	6	properties	property	NOUN
ejpam-3400	162	7	of	of	ADP
ejpam-3400	162	8	the	the	DET
ejpam-3400	162	9	transition	transition	NOUN
ejpam-3400	162	10	the	the	DET
ejpam-3400	162	11	markov	markov	NOUN
ejpam-3400	162	12	property	property	NOUN
ejpam-3400	162	13	for	for	ADP
ejpam-3400	162	14	the	the	DET
ejpam-3400	162	15	law	law	NOUN
ejpam-3400	162	16	of	of	ADP
ejpam-3400	162	17	a	a	DET
ejpam-3400	162	18	multistate	multistate	NOUN
ejpam-3400	162	19	process	process	NOUN
ejpam-3400	162	20	is	be	AUX
ejpam-3400	162	21	that	that	SCONJ
ejpam-3400	162	22	the	the	DET
ejpam-3400	162	23	events	event	NOUN
ejpam-3400	162	24	{	{	PUNCT
ejpam-3400	162	25	x(t	x(t	PROPN
ejpam-3400	162	26	)	)	PUNCT
ejpam-3400	162	27	=	=	SYM
ejpam-3400	162	28	j	j	PROPN
ejpam-3400	162	29	}	}	PUNCT
ejpam-3400	162	30	,	,	PUNCT
ejpam-3400	162	31	j	j	PROPN
ejpam-3400	162	32	=	=	SYM
ejpam-3400	162	33	0	0	PROPN
ejpam-3400	162	34	,	,	PUNCT
ejpam-3400	162	35	...	...	PUNCT
ejpam-3400	162	36	,	,	PUNCT
ejpam-3400	162	37	n	n	PRON
ejpam-3400	162	38	are	be	AUX
ejpam-3400	162	39	independent	independent	ADJ
ejpam-3400	162	40	on	on	ADP
ejpam-3400	162	41	the	the	DET
ejpam-3400	162	42	past	past	ADJ
ejpam-3400	162	43	xn−1	xn−1	PROPN
ejpam-3400	162	44	given	give	VERB
ejpam-3400	162	45	x(s	x(s	PROPN
ejpam-3400	162	46	)	)	PUNCT
ejpam-3400	162	47	.	.	PUNCT
ejpam-3400	163	1	for	for	ADP
ejpam-3400	163	2	markov	markov	NOUN
ejpam-3400	163	3	processes	process	NOUN
ejpam-3400	163	4	,	,	PUNCT
ejpam-3400	163	5	the	the	DET
ejpam-3400	163	6	transition	transition	NOUN
ejpam-3400	163	7	probability	probability	NOUN
ejpam-3400	163	8	matrices	matrix	NOUN
ejpam-3400	163	9	satisfy	satisfy	VERB
ejpam-3400	163	10	the	the	DET
ejpam-3400	163	11	chapman	chapman	PROPN
ejpam-3400	163	12	-	-	PUNCT
ejpam-3400	163	13	kolmogorov	kolmogorov	PROPN
ejpam-3400	163	14	property	property	NOUN
ejpam-3400	163	15	[	[	X
ejpam-3400	163	16	6	6	NUM
ejpam-3400	163	17	]	]	PUNCT
ejpam-3400	163	18	.	.	PUNCT
ejpam-3400	164	1	the	the	DET
ejpam-3400	164	2	set	set	NOUN
ejpam-3400	164	3	of	of	ADP
ejpam-3400	164	4	h.	h.	PROPN
ejpam-3400	164	5	y.	y.	PROPN
ejpam-3400	164	6	talkibing	talkibing	PROPN
ejpam-3400	164	7	,	,	PUNCT
ejpam-3400	164	8	b.	b.	PROPN
ejpam-3400	164	9	diakarya	diakarya	PROPN
ejpam-3400	164	10	,	,	PUNCT
ejpam-3400	164	11	o.	o.	PROPN
ejpam-3400	164	12	fabrice	fabrice	PROPN
ejpam-3400	164	13	/	/	SYM
ejpam-3400	164	14	eur	eur	PROPN
ejpam-3400	164	15	.	.	PUNCT
ejpam-3400	165	1	j.	j.	PROPN
ejpam-3400	165	2	pure	pure	PROPN
ejpam-3400	165	3	appl	appl	PROPN
ejpam-3400	165	4	.	.	PROPN
ejpam-3400	165	5	math	math	PROPN
ejpam-3400	165	6	,	,	PUNCT
ejpam-3400	165	7	12	12	NUM
ejpam-3400	165	8	(	(	PUNCT
ejpam-3400	165	9	3	3	NUM
ejpam-3400	165	10	)	)	PUNCT
ejpam-3400	165	11	(	(	PUNCT
ejpam-3400	165	12	2019	2019	NUM
ejpam-3400	165	13	)	)	PUNCT
ejpam-3400	165	14	,	,	PUNCT
ejpam-3400	165	15	834	834	NUM
ejpam-3400	165	16	-	-	SYM
ejpam-3400	165	17	845	845	NUM
ejpam-3400	165	18	840	840	NUM
ejpam-3400	165	19	transition	transition	NOUN
ejpam-3400	165	20	intensities	intensity	NOUN
ejpam-3400	165	21	forms	form	VERB
ejpam-3400	165	22	the	the	DET
ejpam-3400	165	23	matrix	matrix	NOUN
ejpam-3400	165	24	of	of	ADP
ejpam-3400	165	25	transition	transition	NOUN
ejpam-3400	165	26	intensity	intensity	NOUN
ejpam-3400	165	27	q.	q.	VERB
ejpam-3400	165	28	the	the	DET
ejpam-3400	165	29	sum	sum	NOUN
ejpam-3400	165	30	of	of	ADP
ejpam-3400	165	31	the	the	DET
ejpam-3400	165	32	terms	term	NOUN
ejpam-3400	165	33	of	of	ADP
ejpam-3400	165	34	each	each	DET
ejpam-3400	165	35	line	line	NOUN
ejpam-3400	165	36	of	of	ADP
ejpam-3400	165	37	these	these	DET
ejpam-3400	165	38	matrices	matrix	NOUN
ejpam-3400	165	39	is	be	AUX
ejpam-3400	165	40	equal	equal	ADJ
ejpam-3400	165	41	to	to	ADP
ejpam-3400	165	42	zero	zero	NUM
ejpam-3400	165	43	.	.	PUNCT
ejpam-3400	166	1	we	we	PRON
ejpam-3400	166	2	have	have	VERB
ejpam-3400	166	3	the	the	DET
ejpam-3400	166	4	matrix	matrix	NOUN
ejpam-3400	166	5	of	of	ADP
ejpam-3400	166	6	transmission	transmission	NOUN
ejpam-3400	166	7	probabilities	probability	NOUN
ejpam-3400	166	8	q	q	NOUN
ejpam-3400	166	9	such	such	ADJ
ejpam-3400	166	10	as	as	ADP
ejpam-3400	166	11	.	.	PUNCT
ejpam-3400	166	12	q	q	PUNCT
ejpam-3400	167	1	=	=	PUNCT
ejpam-3400	167	2			ADJ
ejpam-3400	167	3	−m1	−m1	NUM
ejpam-3400	167	4	+	+	SYM
ejpam-3400	167	5	µ1	µ1	PROPN
ejpam-3400	167	6	+	+	X
ejpam-3400	167	7	α	α	NOUN
ejpam-3400	167	8	α	α	NOUN
ejpam-3400	167	9	0	0	NUM
ejpam-3400	167	10	η	η	PROPN
ejpam-3400	167	11	0	0	NUM
ejpam-3400	167	12	−m2	−m2	NOUN
ejpam-3400	167	13	+	+	CCONJ
ejpam-3400	167	14	µ2	µ2	PROPN
ejpam-3400	167	15	β	β	X
ejpam-3400	167	16	0	0	NUM
ejpam-3400	167	17	0	0	SYM
ejpam-3400	167	18	0	0	NUM
ejpam-3400	168	1	−m3	−m3	NOUN
ejpam-3400	168	2	+	+	CCONJ
ejpam-3400	168	3	µ3	µ3	VERB
ejpam-3400	168	4	γ	γ	X
ejpam-3400	168	5	τ	τ	X
ejpam-3400	168	6	0	0	NUM
ejpam-3400	168	7	0	0	NUM
ejpam-3400	169	1	−m4	−m4	PROPN
ejpam-3400	169	2	+	+	CCONJ
ejpam-3400	169	3	τ	τ	PROPN
ejpam-3400	169	4	+	+	NUM
ejpam-3400	169	5	µ4	µ4	PROPN
ejpam-3400	169	6			PROPN
ejpam-3400	169	7	where	where	SCONJ
ejpam-3400	169	8	⇒	⇒	NOUN
ejpam-3400	169	9			PROPN
ejpam-3400	169	10	m1	m1	PROPN
ejpam-3400	169	11	=	=	PUNCT
ejpam-3400	169	12	λ(1−	λ(1−	PROPN
ejpam-3400	169	13	θ	θ	PROPN
ejpam-3400	169	14	)	)	PUNCT
ejpam-3400	170	1	+	+	NUM
ejpam-3400	170	2	σ1	σ1	NOUN
ejpam-3400	170	3	+	+	CCONJ
ejpam-3400	170	4	η	η	PROPN
ejpam-3400	170	5	m2	m2	PROPN
ejpam-3400	170	6	=	=	PROPN
ejpam-3400	170	7	α+	α+	X
ejpam-3400	170	8	β	β	X
ejpam-3400	170	9	+	+	NUM
ejpam-3400	170	10	σ2	σ2	PROPN
ejpam-3400	170	11	m3	m3	PROPN
ejpam-3400	170	12	=	=	PUNCT
ejpam-3400	170	13	β	β	X
ejpam-3400	170	14	+	+	CCONJ
ejpam-3400	170	15	γ	γ	PROPN
ejpam-3400	170	16	+	+	X
ejpam-3400	170	17	σ3	σ3	PROPN
ejpam-3400	170	18	m4	m4	PROPN
ejpam-3400	170	19	=	=	PUNCT
ejpam-3400	170	20	γ	γ	PROPN
ejpam-3400	170	21	+	+	CCONJ
ejpam-3400	170	22	η	η	PROPN
ejpam-3400	170	23	+	+	CCONJ
ejpam-3400	170	24	θλ+	θλ+	ADJ
ejpam-3400	170	25	σ4	σ4	NOUN
ejpam-3400	170	26	(	(	PUNCT
ejpam-3400	170	27	3	3	NUM
ejpam-3400	170	28	)	)	PUNCT
ejpam-3400	170	29	m1	m1	NOUN
ejpam-3400	170	30	,	,	PUNCT
ejpam-3400	170	31	m2	m2	PROPN
ejpam-3400	170	32	,	,	PUNCT
ejpam-3400	170	33	m3	m3	PROPN
ejpam-3400	170	34	et	et	PROPN
ejpam-3400	170	35	m4	m4	PROPN
ejpam-3400	170	36	are	be	AUX
ejpam-3400	170	37	positive	positive	ADJ
ejpam-3400	170	38	quantity	quantity	NOUN
ejpam-3400	170	39	.	.	PUNCT
ejpam-3400	171	1	the	the	DET
ejpam-3400	171	2	kolmogorov	kolmogorov	ADJ
ejpam-3400	171	3	equation	equation	NOUN
ejpam-3400	171	4	gives	give	VERB
ejpam-3400	171	5	the	the	DET
ejpam-3400	171	6	matrix	matrix	NOUN
ejpam-3400	171	7	of	of	ADP
ejpam-3400	171	8	transition	transition	NOUN
ejpam-3400	171	9	probabilities	probability	NOUN
ejpam-3400	171	10	q(t	q(t	PROPN
ejpam-3400	171	11	)	)	PUNCT
ejpam-3400	171	12	as	as	ADP
ejpam-3400	171	13	a	a	DET
ejpam-3400	171	14	function	function	NOUN
ejpam-3400	171	15	of	of	ADP
ejpam-3400	171	16	the	the	DET
ejpam-3400	171	17	exponential	exponential	NOUN
ejpam-3400	171	18	of	of	ADP
ejpam-3400	171	19	a	a	DET
ejpam-3400	171	20	matrix	matrix	NOUN
ejpam-3400	171	21	:	:	PUNCT
ejpam-3400	171	22	p	p	X
ejpam-3400	171	23	(	(	PUNCT
ejpam-3400	171	24	t	t	NOUN
ejpam-3400	171	25	)	)	PUNCT
ejpam-3400	171	26	=	=	NOUN
ejpam-3400	171	27	exp	exp	X
ejpam-3400	171	28	{	{	PUNCT
ejpam-3400	171	29	qt	qt	NOUN
ejpam-3400	171	30	}	}	PUNCT
ejpam-3400	171	31	.	.	PUNCT
ejpam-3400	172	1	the	the	DET
ejpam-3400	172	2	exponential	exponential	NOUN
ejpam-3400	172	3	of	of	ADP
ejpam-3400	172	4	a	a	DET
ejpam-3400	172	5	matrix	matrix	NOUN
ejpam-3400	172	6	is	be	AUX
ejpam-3400	172	7	calculated	calculate	VERB
ejpam-3400	172	8	relatively	relatively	ADV
ejpam-3400	172	9	easily	easily	ADV
ejpam-3400	172	10	,	,	PUNCT
ejpam-3400	172	11	particularly	particularly	ADV
ejpam-3400	172	12	when	when	SCONJ
ejpam-3400	172	13	the	the	DET
ejpam-3400	172	14	matrix	matrix	NOUN
ejpam-3400	172	15	can	can	AUX
ejpam-3400	172	16	be	be	AUX
ejpam-3400	172	17	diagonalized	diagonalize	VERB
ejpam-3400	172	18	[	[	PUNCT
ejpam-3400	172	19	4	4	NUM
ejpam-3400	172	20	]	]	PUNCT
ejpam-3400	172	21	.	.	PUNCT
ejpam-3400	173	1	if	if	SCONJ
ejpam-3400	173	2	q	q	NOUN
ejpam-3400	173	3	has	have	AUX
ejpam-3400	173	4	eigenvalues	eigenvalue	NOUN
ejpam-3400	173	5	which	which	PRON
ejpam-3400	173	6	are	be	AUX
ejpam-3400	173	7	all	all	ADV
ejpam-3400	173	8	different	different	ADJ
ejpam-3400	173	9	,	,	PUNCT
ejpam-3400	173	10	it	it	PRON
ejpam-3400	173	11	can	can	AUX
ejpam-3400	173	12	be	be	AUX
ejpam-3400	173	13	written	write	VERB
ejpam-3400	173	14	as	as	ADP
ejpam-3400	173	15	q	q	NOUN
ejpam-3400	173	16	=	=	SYM
ejpam-3400	173	17	pdp−1	pdp−1	PROPN
ejpam-3400	173	18	,	,	PUNCT
ejpam-3400	173	19	where	where	SCONJ
ejpam-3400	173	20	d	d	NOUN
ejpam-3400	173	21	is	be	AUX
ejpam-3400	173	22	the	the	DET
ejpam-3400	173	23	diagonal	diagonal	ADJ
ejpam-3400	173	24	matrix	matrix	NOUN
ejpam-3400	173	25	of	of	ADP
ejpam-3400	173	26	eigen	eigen	PROPN
ejpam-3400	173	27	-	-	PUNCT
ejpam-3400	173	28	values	value	NOUN
ejpam-3400	173	29	,	,	PUNCT
ejpam-3400	173	30	and	and	CCONJ
ejpam-3400	173	31	p	p	NOUN
ejpam-3400	173	32	is	be	AUX
ejpam-3400	173	33	the	the	DET
ejpam-3400	173	34	matrix	matrix	NOUN
ejpam-3400	173	35	of	of	ADP
ejpam-3400	173	36	eigenvectors	eigenvector	NOUN
ejpam-3400	173	37	.	.	PUNCT
ejpam-3400	174	1	in	in	ADP
ejpam-3400	174	2	this	this	DET
ejpam-3400	174	3	case	case	NOUN
ejpam-3400	174	4	,	,	PUNCT
ejpam-3400	174	5	the	the	DET
ejpam-3400	174	6	probability	probability	NOUN
ejpam-3400	174	7	p	p	X
ejpam-3400	174	8	(	(	PUNCT
ejpam-3400	174	9	t	t	PROPN
ejpam-3400	174	10	)	)	PUNCT
ejpam-3400	174	11	at	at	ADP
ejpam-3400	174	12	stable	stable	ADJ
ejpam-3400	174	13	condition	condition	NOUN
ejpam-3400	174	14	gives	give	VERB
ejpam-3400	174	15	p	p	PROPN
ejpam-3400	174	16	(	(	PUNCT
ejpam-3400	174	17	t	t	NOUN
ejpam-3400	174	18	)	)	PUNCT
ejpam-3400	174	19	=	=	PUNCT
ejpam-3400	175	1	petdp−1	petdp−1	VERB
ejpam-3400	175	2	where	where	SCONJ
ejpam-3400	175	3	the	the	DET
ejpam-3400	175	4	exponential	exponential	NOUN
ejpam-3400	175	5	of	of	ADP
ejpam-3400	175	6	a	a	DET
ejpam-3400	175	7	diagonal	diagonal	ADJ
ejpam-3400	175	8	matrix	matrix	NOUN
ejpam-3400	175	9	d	d	NOUN
ejpam-3400	175	10	is	be	AUX
ejpam-3400	175	11	a	a	DET
ejpam-3400	175	12	diagonal	diagonal	ADJ
ejpam-3400	175	13	matrix	matrix	NOUN
ejpam-3400	175	14	whose	whose	DET
ejpam-3400	175	15	diagonal	diagonal	ADJ
ejpam-3400	175	16	terms	term	NOUN
ejpam-3400	175	17	are	be	AUX
ejpam-3400	175	18	the	the	DET
ejpam-3400	175	19	exponential	exponential	NOUN
ejpam-3400	175	20	of	of	ADP
ejpam-3400	175	21	terms	term	NOUN
ejpam-3400	175	22	of	of	ADP
ejpam-3400	175	23	d.	d.	PROPN
ejpam-3400	175	24	using	use	VERB
ejpam-3400	175	25	the	the	DET
ejpam-3400	175	26	cumulants	cumulant	NOUN
ejpam-3400	175	27	generating	generate	VERB
ejpam-3400	175	28	function	function	NOUN
ejpam-3400	176	1	[	[	X
ejpam-3400	176	2	5	5	NUM
ejpam-3400	176	3	]	]	PUNCT
ejpam-3400	176	4	,	,	PUNCT
ejpam-3400	176	5	we	we	PRON
ejpam-3400	176	6	then	then	ADV
ejpam-3400	176	7	calculate	calculate	VERB
ejpam-3400	176	8	the	the	DET
ejpam-3400	176	9	means	mean	NOUN
ejpam-3400	176	10	,	,	PUNCT
ejpam-3400	176	11	variances	variance	NOUN
ejpam-3400	176	12	and	and	CCONJ
ejpam-3400	176	13	covariances	covariance	NOUN
ejpam-3400	176	14	of	of	ADP
ejpam-3400	176	15	the	the	DET
ejpam-3400	176	16	disease	disease	NOUN
ejpam-3400	176	17	states	state	NOUN
ejpam-3400	176	18	as	as	ADP
ejpam-3400	176	19	a	a	DET
ejpam-3400	176	20	function	function	NOUN
ejpam-3400	176	21	of	of	ADP
ejpam-3400	176	22	time	time	NOUN
ejpam-3400	176	23	.	.	PUNCT
ejpam-3400	177	1	for	for	ADP
ejpam-3400	177	2	this	this	DET
ejpam-3400	177	3	purpose	purpose	NOUN
ejpam-3400	177	4	,	,	PUNCT
ejpam-3400	177	5	the	the	DET
ejpam-3400	177	6	probability	probability	NOUN
ejpam-3400	177	7	generating	generating	NOUN
ejpam-3400	177	8	function	function	NOUN
ejpam-3400	177	9	is	be	AUX
ejpam-3400	177	10	defined	define	VERB
ejpam-3400	177	11	by	by	ADP
ejpam-3400	177	12	:	:	PUNCT
ejpam-3400	177	13	φ(x1	φ(x1	PROPN
ejpam-3400	177	14	,	,	PUNCT
ejpam-3400	177	15	x2	x2	PROPN
ejpam-3400	177	16	,	,	PUNCT
ejpam-3400	177	17	x3	x3	PROPN
ejpam-3400	177	18	,	,	PUNCT
ejpam-3400	177	19	x4	x4	PROPN
ejpam-3400	177	20	,	,	PUNCT
ejpam-3400	177	21	t	t	PROPN
ejpam-3400	177	22	)	)	PUNCT
ejpam-3400	177	23	=	=	SYM
ejpam-3400	177	24	∑	∑	PUNCT
ejpam-3400	177	25	n	n	CCONJ
ejpam-3400	177	26	,	,	PUNCT
ejpam-3400	177	27	n	n	PRON
ejpam-3400	177	28	′	′	NUM
ejpam-3400	177	29	,	,	PUNCT
ejpam-3400	177	30	m	m	PROPN
ejpam-3400	177	31	,	,	PUNCT
ejpam-3400	177	32	m	m	VERB
ejpam-3400	177	33	′>0	′>0	PUNCT
ejpam-3400	178	1	p(n	p(n	PROPN
ejpam-3400	178	2	,	,	PUNCT
ejpam-3400	178	3	m	m	PROPN
ejpam-3400	178	4	,	,	PUNCT
ejpam-3400	178	5	n	n	PRON
ejpam-3400	178	6	′	′	NUM
ejpam-3400	178	7	,	,	PUNCT
ejpam-3400	178	8	m	m	VERB
ejpam-3400	178	9	′	′	NOUN
ejpam-3400	178	10	,	,	PUNCT
ejpam-3400	179	1	t)xn1x	t)xn1x	PROPN
ejpam-3400	179	2	m	m	VERB
ejpam-3400	179	3	2	2	NUM
ejpam-3400	179	4	x	x	SYM
ejpam-3400	179	5	n	n	NOUN
ejpam-3400	179	6	′	′	NUM
ejpam-3400	179	7	3	3	NUM
ejpam-3400	179	8	x	x	SYM
ejpam-3400	179	9	m	m	VERB
ejpam-3400	179	10	′	′	NUM
ejpam-3400	179	11	4	4	NUM
ejpam-3400	179	12	.	.	PUNCT
ejpam-3400	180	1	h.	h.	PROPN
ejpam-3400	180	2	y.	y.	PROPN
ejpam-3400	180	3	talkibing	talkibing	PROPN
ejpam-3400	180	4	,	,	PUNCT
ejpam-3400	180	5	b.	b.	PROPN
ejpam-3400	180	6	diakarya	diakarya	PROPN
ejpam-3400	180	7	,	,	PUNCT
ejpam-3400	180	8	o.	o.	PROPN
ejpam-3400	180	9	fabrice	fabrice	PROPN
ejpam-3400	180	10	/	/	SYM
ejpam-3400	180	11	eur	eur	PROPN
ejpam-3400	180	12	.	.	PUNCT
ejpam-3400	181	1	j.	j.	PROPN
ejpam-3400	181	2	pure	pure	PROPN
ejpam-3400	181	3	appl	appl	PROPN
ejpam-3400	181	4	.	.	PROPN
ejpam-3400	181	5	math	math	PROPN
ejpam-3400	181	6	,	,	PUNCT
ejpam-3400	181	7	12	12	NUM
ejpam-3400	181	8	(	(	PUNCT
ejpam-3400	181	9	3	3	NUM
ejpam-3400	181	10	)	)	PUNCT
ejpam-3400	181	11	(	(	PUNCT
ejpam-3400	181	12	2019	2019	NUM
ejpam-3400	181	13	)	)	PUNCT
ejpam-3400	181	14	,	,	PUNCT
ejpam-3400	181	15	834	834	NUM
ejpam-3400	181	16	-	-	SYM
ejpam-3400	181	17	845	845	NUM
ejpam-3400	181	18	841	841	NUM
ejpam-3400	181	19	using	use	VERB
ejpam-3400	181	20	a(t	a(t	NOUN
ejpam-3400	181	21	)	)	PUNCT
ejpam-3400	182	1	=	=	PRON
ejpam-3400	182	2	(	(	PUNCT
ejpam-3400	182	3	ai	ai	PROPN
ejpam-3400	182	4	,	,	PUNCT
ejpam-3400	182	5	j(t))16i	j(t))16i	PROPN
ejpam-3400	182	6	,	,	PUNCT
ejpam-3400	182	7	j64	j64	NOUN
ejpam-3400	182	8	=	=	SYM
ejpam-3400	182	9	(	(	PUNCT
ejpam-3400	182	10	tai	tai	PROPN
ejpam-3400	182	11	,	,	PUNCT
ejpam-3400	182	12	j	j	PROPN
ejpam-3400	182	13	)	)	PUNCT
ejpam-3400	183	1	[	[	X
ejpam-3400	183	2	i	i	NOUN
ejpam-3400	183	3	6	6	NUM
ejpam-3400	183	4	,	,	PUNCT
ejpam-3400	183	5	4j	4j	NOUN
ejpam-3400	183	6	6	6	NUM
ejpam-3400	183	7	]	]	PUNCT
ejpam-3400	183	8	,	,	PUNCT
ejpam-3400	183	9	the	the	DET
ejpam-3400	183	10	matrix	matrix	NOUN
ejpam-3400	183	11	of	of	ADP
ejpam-3400	183	12	births	birth	NOUN
ejpam-3400	183	13	with	with	ADP
ejpam-3400	183	14	positive	positive	ADJ
ejpam-3400	183	15	or	or	CCONJ
ejpam-3400	183	16	null	null	ADJ
ejpam-3400	183	17	coefficients	coefficient	NOUN
ejpam-3400	183	18	,	,	PUNCT
ejpam-3400	183	19	such	such	ADJ
ejpam-3400	183	20	as	as	ADP
ejpam-3400	183	21	:	:	PUNCT
ejpam-3400	183	22	aij	aij	PROPN
ejpam-3400	183	23	=	=	SYM
ejpam-3400	183	24			ADJ
ejpam-3400	183	25	λ(1−	λ(1−	PROPN
ejpam-3400	183	26	θ	θ	NOUN
ejpam-3400	183	27	)	)	PUNCT
ejpam-3400	183	28	+	+	CCONJ
ejpam-3400	183	29	σ1	σ1	NOUN
ejpam-3400	183	30	0	0	NUM
ejpam-3400	183	31	0	0	NUM
ejpam-3400	183	32	0	0	NUM
ejpam-3400	183	33	0	0	NUM
ejpam-3400	183	34	σ2	σ2	NOUN
ejpam-3400	183	35	0	0	NUM
ejpam-3400	183	36	0	0	NUM
ejpam-3400	183	37	0	0	NUM
ejpam-3400	183	38	0	0	NUM
ejpam-3400	183	39	σ3	σ3	NOUN
ejpam-3400	183	40	0	0	NUM
ejpam-3400	183	41	0	0	NUM
ejpam-3400	183	42	0	0	NUM
ejpam-3400	183	43	0	0	NUM
ejpam-3400	183	44	σ4	σ4	NOUN
ejpam-3400	183	45			NOUN
ejpam-3400	183	46	;	;	PUNCT
ejpam-3400	183	47	and	and	CCONJ
ejpam-3400	183	48	b(t	b(t	VERB
ejpam-3400	183	49	)	)	PUNCT
ejpam-3400	183	50	=	=	PUNCT
ejpam-3400	184	1	(	(	PUNCT
ejpam-3400	184	2	bi	bi	PROPN
ejpam-3400	184	3	,	,	PUNCT
ejpam-3400	184	4	j(t	j(t	PROPN
ejpam-3400	184	5	)	)	PUNCT
ejpam-3400	184	6	)	)	PUNCT
ejpam-3400	185	1	the	the	DET
ejpam-3400	185	2	matrix	matrix	NOUN
ejpam-3400	185	3	of	of	ADP
ejpam-3400	185	4	deaths	death	NOUN
ejpam-3400	185	5	given	give	VERB
ejpam-3400	185	6	by	by	ADP
ejpam-3400	185	7	:	:	PUNCT
ejpam-3400	185	8	bij	bij	VERB
ejpam-3400	185	9	=	=	SYM
ejpam-3400	185	10			PROPN
ejpam-3400	185	11	µ1	µ1	PROPN
ejpam-3400	185	12	+	+	CCONJ
ejpam-3400	185	13	α+	α+	PROPN
ejpam-3400	185	14	η	η	PROPN
ejpam-3400	185	15	−α	−α	PROPN
ejpam-3400	185	16	0	0	NUM
ejpam-3400	185	17	−η	−η	NOUN
ejpam-3400	185	18	0	0	NUM
ejpam-3400	186	1	µ2	µ2	PROPN
ejpam-3400	186	2	+	+	CCONJ
ejpam-3400	186	3	β	β	X
ejpam-3400	186	4	−β	−β	NOUN
ejpam-3400	186	5	0	0	NUM
ejpam-3400	186	6	0	0	NUM
ejpam-3400	186	7	0	0	NUM
ejpam-3400	186	8	µ3	µ3	NOUN
ejpam-3400	186	9	+	+	CCONJ
ejpam-3400	186	10	γ	γ	X
ejpam-3400	186	11	−γ	−γ	ADJ
ejpam-3400	186	12	−τ	−τ	NOUN
ejpam-3400	186	13	0	0	NUM
ejpam-3400	186	14	0	0	NUM
ejpam-3400	187	1	µ4	µ4	PROPN
ejpam-3400	187	2	+	+	CCONJ
ejpam-3400	187	3	τ	τ	X
ejpam-3400	187	4			NOUN
ejpam-3400	187	5	;	;	PUNCT
ejpam-3400	187	6	then	then	ADV
ejpam-3400	187	7	,	,	PUNCT
ejpam-3400	187	8	the	the	DET
ejpam-3400	187	9	joint	joint	ADJ
ejpam-3400	187	10	generating	generate	VERB
ejpam-3400	187	11	function	function	NOUN
ejpam-3400	187	12	of	of	ADP
ejpam-3400	187	13	the	the	DET
ejpam-3400	187	14	moments	moment	NOUN
ejpam-3400	187	15	is	be	AUX
ejpam-3400	187	16	defined	define	VERB
ejpam-3400	187	17	by	by	ADP
ejpam-3400	187	18	:	:	PUNCT
ejpam-3400	187	19	m(a1	m(a1	X
ejpam-3400	187	20	,	,	PUNCT
ejpam-3400	187	21	a2	a2	PROPN
ejpam-3400	187	22	,	,	PUNCT
ejpam-3400	187	23	a3	a3	NOUN
ejpam-3400	187	24	,	,	PUNCT
ejpam-3400	187	25	a4	a4	PROPN
ejpam-3400	187	26	,	,	PUNCT
ejpam-3400	187	27	t	t	NOUN
ejpam-3400	187	28	)	)	PUNCT
ejpam-3400	187	29	=	=	PUNCT
ejpam-3400	188	1	∞∑	∞∑	NUM
ejpam-3400	188	2	n	n	CCONJ
ejpam-3400	188	3	,	,	PUNCT
ejpam-3400	188	4	n′	n′	PROPN
ejpam-3400	188	5	,	,	PUNCT
ejpam-3400	188	6	m	m	PROPN
ejpam-3400	188	7	,	,	PUNCT
ejpam-3400	188	8	m′=0	m′=0	ADJ
ejpam-3400	188	9	p(n	p(n	PROPN
ejpam-3400	188	10	,	,	PUNCT
ejpam-3400	188	11	n	n	PRON
ejpam-3400	188	12	′	′	NUM
ejpam-3400	188	13	,	,	PUNCT
ejpam-3400	188	14	m	m	PROPN
ejpam-3400	188	15	,	,	PUNCT
ejpam-3400	188	16	m	m	VERB
ejpam-3400	188	17	′	′	NUM
ejpam-3400	188	18	,	,	PUNCT
ejpam-3400	188	19	t)ea1nea2n	t)ea1nea2n	VERB
ejpam-3400	188	20	′	′	NUM
ejpam-3400	189	1	ea3mea4	ea3mea4	ADJ
ejpam-3400	189	2	m	m	VERB
ejpam-3400	189	3	′	′	ADJ
ejpam-3400	189	4	.	.	PUNCT
ejpam-3400	190	1	(	(	PUNCT
ejpam-3400	190	2	4	4	NUM
ejpam-3400	190	3	)	)	PUNCT
ejpam-3400	190	4	by	by	ADP
ejpam-3400	190	5	setting	set	VERB
ejpam-3400	190	6	xk	xk	PROPN
ejpam-3400	190	7	=	=	PUNCT
ejpam-3400	190	8	eak	eak	PROPN
ejpam-3400	190	9	,	,	PUNCT
ejpam-3400	190	10	we	we	PRON
ejpam-3400	190	11	get	get	VERB
ejpam-3400	190	12	∂xk	∂xk	PROPN
ejpam-3400	190	13	=	=	PROPN
ejpam-3400	190	14	eak∂ak	eak∂ak	PROPN
ejpam-3400	190	15	for	for	ADP
ejpam-3400	190	16	all	all	PRON
ejpam-3400	190	17	k	k	NOUN
ejpam-3400	190	18	=	=	SYM
ejpam-3400	190	19	1	1	NUM
ejpam-3400	190	20	,	,	PUNCT
ejpam-3400	190	21	2	2	NUM
ejpam-3400	190	22	,	,	PUNCT
ejpam-3400	190	23	3	3	NUM
ejpam-3400	190	24	,	,	PUNCT
ejpam-3400	190	25	4	4	NUM
ejpam-3400	190	26	let	let	VERB
ejpam-3400	190	27	us	we	PRON
ejpam-3400	190	28	define	define	VERB
ejpam-3400	190	29	the	the	DET
ejpam-3400	190	30	generating	generate	VERB
ejpam-3400	190	31	function	function	NOUN
ejpam-3400	190	32	of	of	ADP
ejpam-3400	190	33	the	the	DET
ejpam-3400	190	34	cumulants	cumulant	NOUN
ejpam-3400	190	35	by	by	ADP
ejpam-3400	190	36	:	:	PUNCT
ejpam-3400	190	37	k(a1	k(a1	NOUN
ejpam-3400	190	38	,	,	PUNCT
ejpam-3400	190	39	a2	a2	PROPN
ejpam-3400	190	40	,	,	PUNCT
ejpam-3400	190	41	a3	a3	NOUN
ejpam-3400	190	42	,	,	PUNCT
ejpam-3400	190	43	a4	a4	PROPN
ejpam-3400	190	44	,	,	PUNCT
ejpam-3400	190	45	t	t	NOUN
ejpam-3400	190	46	)	)	PUNCT
ejpam-3400	190	47	=	=	PUNCT
ejpam-3400	191	1	∞∑	∞∑	NUM
ejpam-3400	191	2	n	n	CCONJ
ejpam-3400	191	3	,	,	PUNCT
ejpam-3400	191	4	n′	n′	PROPN
ejpam-3400	191	5	,	,	PUNCT
ejpam-3400	191	6	m	m	PROPN
ejpam-3400	191	7	,	,	PUNCT
ejpam-3400	191	8	m′=1	m′=1	PROPN
ejpam-3400	191	9	an1	an1	PROPN
ejpam-3400	191	10	n	n	PROPN
ejpam-3400	191	11	!	!	PUNCT
ejpam-3400	192	1	an	an	DET
ejpam-3400	192	2	′	′	NUM
ejpam-3400	192	3	2	2	NUM
ejpam-3400	192	4	n′	n′	PROPN
ejpam-3400	192	5	!	!	PUNCT
ejpam-3400	193	1	am3	am3	PROPN
ejpam-3400	193	2	m	m	VERB
ejpam-3400	193	3	!	!	PUNCT
ejpam-3400	193	4	am	be	AUX
ejpam-3400	193	5	′	′	NUM
ejpam-3400	193	6	4	4	NUM
ejpam-3400	193	7	m′	m′	NOUN
ejpam-3400	193	8	!	!	PUNCT
ejpam-3400	194	1	knn′mm′	knn′mm′	PROPN
ejpam-3400	194	2	(	(	PUNCT
ejpam-3400	194	3	a1	a1	PROPN
ejpam-3400	194	4	,	,	PUNCT
ejpam-3400	194	5	a2	a2	PROPN
ejpam-3400	194	6	,	,	PUNCT
ejpam-3400	194	7	a3	a3	NOUN
ejpam-3400	194	8	,	,	PUNCT
ejpam-3400	194	9	a4	a4	PROPN
ejpam-3400	194	10	,	,	PUNCT
ejpam-3400	194	11	t	t	PROPN
ejpam-3400	194	12	)	)	PUNCT
ejpam-3400	194	13	(	(	PUNCT
ejpam-3400	194	14	5	5	X
ejpam-3400	194	15	)	)	PUNCT
ejpam-3400	194	16	where	where	SCONJ
ejpam-3400	194	17	knn′mm′	knn′mm′	PROPN
ejpam-3400	194	18	(	(	PUNCT
ejpam-3400	194	19	a1	a1	PROPN
ejpam-3400	194	20	,	,	PUNCT
ejpam-3400	194	21	a2	a2	PROPN
ejpam-3400	194	22	,	,	PUNCT
ejpam-3400	194	23	a3	a3	NOUN
ejpam-3400	194	24	,	,	PUNCT
ejpam-3400	194	25	a4	a4	PROPN
ejpam-3400	194	26	,	,	PUNCT
ejpam-3400	194	27	t	t	PROPN
ejpam-3400	194	28	)	)	PUNCT
ejpam-3400	194	29	are	be	AUX
ejpam-3400	194	30	cumulative	cumulative	ADJ
ejpam-3400	194	31	:	:	PUNCT
ejpam-3400	194	32	knn′mm′	knn′mm′	X
ejpam-3400	194	33	(	(	PUNCT
ejpam-3400	194	34	a1	a1	PROPN
ejpam-3400	194	35	,	,	PUNCT
ejpam-3400	194	36	a2	a2	PROPN
ejpam-3400	194	37	,	,	PUNCT
ejpam-3400	194	38	a3	a3	NOUN
ejpam-3400	194	39	,	,	PUNCT
ejpam-3400	194	40	a4	a4	PROPN
ejpam-3400	194	41	,	,	PUNCT
ejpam-3400	194	42	t	t	PROPN
ejpam-3400	194	43	)	)	PUNCT
ejpam-3400	194	44	=	=	PUNCT
ejpam-3400	194	45	drk(a1	drk(a1	PROPN
ejpam-3400	194	46	,	,	PUNCT
ejpam-3400	194	47	a2	a2	PROPN
ejpam-3400	194	48	,	,	PUNCT
ejpam-3400	194	49	a3	a3	NOUN
ejpam-3400	194	50	,	,	PUNCT
ejpam-3400	194	51	a4	a4	PROPN
ejpam-3400	194	52	,	,	PUNCT
ejpam-3400	194	53	t	t	PROPN
ejpam-3400	194	54	)	)	PUNCT
ejpam-3400	194	55	dtr	dtr	NOUN
ejpam-3400	194	56	|t=0	|t=0	PROPN
ejpam-3400	194	57	.	.	PROPN
ejpam-3400	194	58	(	(	PUNCT
ejpam-3400	194	59	6	6	NUM
ejpam-3400	194	60	)	)	PUNCT
ejpam-3400	194	61	furthermore	furthermore	ADV
ejpam-3400	194	62	,	,	PUNCT
ejpam-3400	194	63	the	the	DET
ejpam-3400	194	64	generating	generate	VERB
ejpam-3400	194	65	function	function	NOUN
ejpam-3400	194	66	of	of	ADP
ejpam-3400	194	67	the	the	DET
ejpam-3400	194	68	cumulants	cumulant	NOUN
ejpam-3400	194	69	is	be	AUX
ejpam-3400	194	70	computed	compute	VERB
ejpam-3400	194	71	as	as	SCONJ
ejpam-3400	194	72	follows	follow	VERB
ejpam-3400	194	73	:	:	PUNCT
ejpam-3400	194	74	k(a1	k(a1	NOUN
ejpam-3400	194	75	,	,	PUNCT
ejpam-3400	194	76	a2	a2	PROPN
ejpam-3400	194	77	,	,	PUNCT
ejpam-3400	194	78	a3	a3	NOUN
ejpam-3400	194	79	,	,	PUNCT
ejpam-3400	194	80	a4	a4	PROPN
ejpam-3400	194	81	,	,	PUNCT
ejpam-3400	194	82	t	t	PROPN
ejpam-3400	194	83	)	)	PUNCT
ejpam-3400	195	1	=	=	SYM
ejpam-3400	195	2	logm(a1	logm(a1	PROPN
ejpam-3400	195	3	,	,	PUNCT
ejpam-3400	195	4	a2	a2	PROPN
ejpam-3400	195	5	,	,	PUNCT
ejpam-3400	195	6	a3	a3	NOUN
ejpam-3400	195	7	,	,	PUNCT
ejpam-3400	195	8	a4	a4	PROPN
ejpam-3400	195	9	,	,	PUNCT
ejpam-3400	195	10	t	t	PROPN
ejpam-3400	195	11	)	)	PUNCT
ejpam-3400	195	12	(	(	PUNCT
ejpam-3400	195	13	7	7	NUM
ejpam-3400	195	14	)	)	PUNCT
ejpam-3400	195	15	and	and	CCONJ
ejpam-3400	195	16	∂m(a1	∂m(a1	PROPN
ejpam-3400	195	17	,	,	PUNCT
ejpam-3400	195	18	a2	a2	PROPN
ejpam-3400	195	19	,	,	PUNCT
ejpam-3400	195	20	a3	a3	NOUN
ejpam-3400	195	21	,	,	PUNCT
ejpam-3400	195	22	a4	a4	PROPN
ejpam-3400	195	23	,	,	PUNCT
ejpam-3400	195	24	t	t	PROPN
ejpam-3400	195	25	)	)	PUNCT
ejpam-3400	195	26	=	=	PUNCT
ejpam-3400	195	27	ek∂k(a1	ek∂k(a1	NOUN
ejpam-3400	195	28	,	,	PUNCT
ejpam-3400	195	29	a2	a2	PROPN
ejpam-3400	195	30	,	,	PUNCT
ejpam-3400	195	31	a3	a3	NOUN
ejpam-3400	195	32	,	,	PUNCT
ejpam-3400	195	33	a4	a4	PROPN
ejpam-3400	195	34	,	,	PUNCT
ejpam-3400	195	35	t	t	PROPN
ejpam-3400	195	36	)	)	PUNCT
ejpam-3400	195	37	.	.	PUNCT
ejpam-3400	196	1	(	(	PUNCT
ejpam-3400	196	2	8)	8)	NUM
ejpam-3400	196	3	h.	h.	PROPN
ejpam-3400	196	4	y.	y.	PROPN
ejpam-3400	196	5	talkibing	talkibing	PROPN
ejpam-3400	196	6	,	,	PUNCT
ejpam-3400	196	7	b.	b.	PROPN
ejpam-3400	196	8	diakarya	diakarya	PROPN
ejpam-3400	196	9	,	,	PUNCT
ejpam-3400	196	10	o.	o.	PROPN
ejpam-3400	196	11	fabrice	fabrice	PROPN
ejpam-3400	196	12	/	/	SYM
ejpam-3400	196	13	eur	eur	PROPN
ejpam-3400	196	14	.	.	PUNCT
ejpam-3400	197	1	j.	j.	PROPN
ejpam-3400	197	2	pure	pure	PROPN
ejpam-3400	197	3	appl	appl	PROPN
ejpam-3400	197	4	.	.	PROPN
ejpam-3400	197	5	math	math	PROPN
ejpam-3400	197	6	,	,	PUNCT
ejpam-3400	197	7	12	12	NUM
ejpam-3400	197	8	(	(	PUNCT
ejpam-3400	197	9	3	3	NUM
ejpam-3400	197	10	)	)	PUNCT
ejpam-3400	197	11	(	(	PUNCT
ejpam-3400	197	12	2019	2019	NUM
ejpam-3400	197	13	)	)	PUNCT
ejpam-3400	197	14	,	,	PUNCT
ejpam-3400	197	15	834	834	NUM
ejpam-3400	197	16	-	-	SYM
ejpam-3400	197	17	845	845	NUM
ejpam-3400	197	18	842	842	NUM
ejpam-3400	197	19	by	by	ADP
ejpam-3400	197	20	substituting	substitute	VERB
ejpam-3400	197	21	ea	ea	X
ejpam-3400	197	22	=	=	PUNCT
ejpam-3400	197	23	∑∞	∑∞	NOUN
ejpam-3400	198	1	i=0	i=0	PROPN
ejpam-3400	198	2	ai	ai	VERB
ejpam-3400	198	3	i	i	PRON
ejpam-3400	198	4	!	!	PUNCT
ejpam-3400	199	1	in	in	ADP
ejpam-3400	199	2	(	(	PUNCT
ejpam-3400	199	3	5	5	NUM
ejpam-3400	199	4	)	)	PUNCT
ejpam-3400	199	5	and	and	CCONJ
ejpam-3400	199	6	then	then	ADV
ejpam-3400	199	7	,	,	PUNCT
ejpam-3400	199	8	by	by	ADP
ejpam-3400	199	9	derivating	derivate	VERB
ejpam-3400	199	10	the	the	DET
ejpam-3400	199	11	functionsk(a1	functionsk(a1	ADJ
ejpam-3400	199	12	,	,	PUNCT
ejpam-3400	199	13	a2	a2	PROPN
ejpam-3400	199	14	,	,	PUNCT
ejpam-3400	199	15	a3	a3	NOUN
ejpam-3400	199	16	,	,	PUNCT
ejpam-3400	199	17	a4	a4	PROPN
ejpam-3400	199	18	,	,	PUNCT
ejpam-3400	199	19	t	t	PROPN
ejpam-3400	199	20	)	)	PUNCT
ejpam-3400	199	21	,	,	PUNCT
ejpam-3400	199	22	it	it	PRON
ejpam-3400	199	23	comes	come	VERB
ejpam-3400	199	24	that	that	SCONJ
ejpam-3400	199	25	:	:	PUNCT
ejpam-3400	199	26	∂k(a1	∂k(a1	PROPN
ejpam-3400	199	27	,	,	PUNCT
ejpam-3400	199	28	a2	a2	PROPN
ejpam-3400	199	29	,	,	PUNCT
ejpam-3400	199	30	a3	a3	NOUN
ejpam-3400	199	31	,	,	PUNCT
ejpam-3400	199	32	a4	a4	PROPN
ejpam-3400	199	33	,	,	PUNCT
ejpam-3400	199	34	t	t	PROPN
ejpam-3400	199	35	)	)	PUNCT
ejpam-3400	199	36	∂t	∂t	PROPN
ejpam-3400	200	1	=	=	PUNCT
ejpam-3400	200	2	[	[	PUNCT
ejpam-3400	200	3	ε1	ε1	VERB
ejpam-3400	200	4	∞∑	∞∑	PROPN
ejpam-3400	200	5	n=0	n=0	NUM
ejpam-3400	200	6	an1	an1	NOUN
ejpam-3400	200	7	n	n	X
ejpam-3400	200	8	!	!	PUNCT
ejpam-3400	201	1	+	+	CCONJ
ejpam-3400	201	2	ε3	ε3	VERB
ejpam-3400	201	3	∞∑	∞∑	PROPN
ejpam-3400	201	4	n=0	n=0	PROPN
ejpam-3400	201	5	(	(	PUNCT
ejpam-3400	201	6	−a1)n	−a1)n	NOUN
ejpam-3400	201	7	n	n	X
ejpam-3400	201	8	!	!	PUNCT
ejpam-3400	202	1	−	−	PROPN
ejpam-3400	203	1	ε2	ε2	ADJ
ejpam-3400	203	2	]	]	PUNCT
ejpam-3400	203	3	∂knn′mm′	∂knn′mm′	PROPN
ejpam-3400	203	4	(	(	PUNCT
ejpam-3400	203	5	a1	a1	PROPN
ejpam-3400	203	6	,	,	PUNCT
ejpam-3400	203	7	a2	a2	PROPN
ejpam-3400	203	8	,	,	PUNCT
ejpam-3400	203	9	a3	a3	NOUN
ejpam-3400	203	10	,	,	PUNCT
ejpam-3400	203	11	a4	a4	PROPN
ejpam-3400	203	12	,	,	PUNCT
ejpam-3400	203	13	t	t	NOUN
ejpam-3400	203	14	)	)	PUNCT
ejpam-3400	203	15	∂a1	∂a1	PROPN
ejpam-3400	203	16	(	(	PUNCT
ejpam-3400	203	17	9	9	NUM
ejpam-3400	203	18	)	)	PUNCT
ejpam-3400	204	1	+	+	CCONJ
ejpam-3400	204	2	[	[	PUNCT
ejpam-3400	204	3	σ2	σ2	PROPN
ejpam-3400	204	4	∞∑	∞∑	PROPN
ejpam-3400	204	5	n′=0	n′=0	NOUN
ejpam-3400	204	6	an	an	DET
ejpam-3400	204	7	′	′	NOUN
ejpam-3400	204	8	2	2	NUM
ejpam-3400	204	9	n′	n′	NOUN
ejpam-3400	204	10	!	!	PUNCT
ejpam-3400	205	1	+	+	CCONJ
ejpam-3400	206	1	α	α	PROPN
ejpam-3400	206	2	∞∑	∞∑	PROPN
ejpam-3400	206	3	n=0	n=0	PUNCT
ejpam-3400	206	4	an1	an1	NOUN
ejpam-3400	206	5	n	n	CCONJ
ejpam-3400	206	6	!	!	PUNCT
ejpam-3400	207	1	∞∑	∞∑	NUM
ejpam-3400	207	2	n	n	NOUN
ejpam-3400	207	3	′	′	NUM
ejpam-3400	207	4	=	=	SYM
ejpam-3400	207	5	0	0	NUM
ejpam-3400	207	6	(	(	PUNCT
ejpam-3400	207	7	−a2)n	−a2)n	NOUN
ejpam-3400	207	8	′	′	NUM
ejpam-3400	207	9	n′	n′	PROPN
ejpam-3400	207	10	!	!	PUNCT
ejpam-3400	208	1	−	−	PROPN
ejpam-3400	209	1	ε4	ε4	NOUN
ejpam-3400	209	2	−	−	PROPN
ejpam-3400	209	3	ε5	ε5	PROPN
ejpam-3400	209	4	]	]	X
ejpam-3400	209	5	∂knn′mm′	∂knn′mm′	PROPN
ejpam-3400	209	6	(	(	PUNCT
ejpam-3400	209	7	a1	a1	PROPN
ejpam-3400	209	8	,	,	PUNCT
ejpam-3400	209	9	a2	a2	PROPN
ejpam-3400	209	10	,	,	PUNCT
ejpam-3400	209	11	a3	a3	NOUN
ejpam-3400	209	12	,	,	PUNCT
ejpam-3400	209	13	a4	a4	PROPN
ejpam-3400	209	14	,	,	PUNCT
ejpam-3400	209	15	t	t	PROPN
ejpam-3400	209	16	)	)	PUNCT
ejpam-3400	209	17	∂a2	∂a2	PROPN
ejpam-3400	210	1	+	+	CCONJ
ejpam-3400	210	2	[	[	PUNCT
ejpam-3400	210	3	σ3	σ3	PROPN
ejpam-3400	210	4	∞∑	∞∑	PROPN
ejpam-3400	210	5	m=0	m=0	PROPN
ejpam-3400	210	6	am3	am3	NOUN
ejpam-3400	210	7	m	m	NOUN
ejpam-3400	210	8	!	!	PUNCT
ejpam-3400	211	1	+	+	CCONJ
ejpam-3400	211	2	β	β	X
ejpam-3400	211	3	∞∑	∞∑	NUM
ejpam-3400	211	4	n′=0	n′=0	NOUN
ejpam-3400	211	5	an	an	DET
ejpam-3400	211	6	′	′	NOUN
ejpam-3400	211	7	2	2	NUM
ejpam-3400	211	8	n′	n′	NOUN
ejpam-3400	211	9	!	!	PUNCT
ejpam-3400	212	1	∞∑	∞∑	PRON
ejpam-3400	212	2	m=0	m=0	PROPN
ejpam-3400	212	3	(	(	PUNCT
ejpam-3400	212	4	−a3)m	−a3)m	NOUN
ejpam-3400	212	5	m	m	NOUN
ejpam-3400	212	6	!	!	PUNCT
ejpam-3400	213	1	−	−	PROPN
ejpam-3400	214	1	ε7	ε7	PROPN
ejpam-3400	214	2	∞∑	∞∑	PROPN
ejpam-3400	214	3	m=0	m=0	PROPN
ejpam-3400	214	4	(	(	PUNCT
ejpam-3400	214	5	−a3)m	−a3)m	NOUN
ejpam-3400	214	6	m	m	NOUN
ejpam-3400	214	7	!	!	PUNCT
ejpam-3400	215	1	−	−	PROPN
ejpam-3400	215	2	ε6	ε6	NOUN
ejpam-3400	215	3	]	]	PUNCT
ejpam-3400	215	4	∂knn′mm′	∂knn′mm′	PROPN
ejpam-3400	215	5	(	(	PUNCT
ejpam-3400	215	6	a1	a1	PROPN
ejpam-3400	215	7	,	,	PUNCT
ejpam-3400	215	8	a2	a2	PROPN
ejpam-3400	215	9	,	,	PUNCT
ejpam-3400	215	10	a3	a3	NOUN
ejpam-3400	215	11	,	,	PUNCT
ejpam-3400	215	12	a4	a4	PROPN
ejpam-3400	215	13	,	,	PUNCT
ejpam-3400	215	14	t	t	NOUN
ejpam-3400	215	15	)	)	PUNCT
ejpam-3400	215	16	∂a3	∂a3	NOUN
ejpam-3400	215	17	+	+	X
ejpam-3400	215	18	[	[	PUNCT
ejpam-3400	215	19	σ4	σ4	NOUN
ejpam-3400	215	20	∞∑	∞∑	PROPN
ejpam-3400	215	21	m′=0	m′=0	ADJ
ejpam-3400	215	22	am	be	AUX
ejpam-3400	215	23	′	′	NUM
ejpam-3400	215	24	4	4	NUM
ejpam-3400	215	25	m′	m′	NOUN
ejpam-3400	215	26	!	!	PUNCT
ejpam-3400	216	1	+	+	CCONJ
ejpam-3400	216	2	η	η	PROPN
ejpam-3400	216	3	∞∑	∞∑	PROPN
ejpam-3400	216	4	n=0	n=0	PUNCT
ejpam-3400	216	5	an1	an1	NOUN
ejpam-3400	216	6	n	n	CCONJ
ejpam-3400	216	7	!	!	PUNCT
ejpam-3400	217	1	∞∑	∞∑	ADJ
ejpam-3400	217	2	m=0	m=0	PROPN
ejpam-3400	217	3	(	(	PUNCT
ejpam-3400	217	4	−a4)m	−a4)m	NOUN
ejpam-3400	217	5	′	′	NUM
ejpam-3400	217	6	m′	m′	NUM
ejpam-3400	217	7	!	!	PUNCT
ejpam-3400	218	1	+	+	CCONJ
ejpam-3400	218	2	γ	γ	PROPN
ejpam-3400	218	3	∞∑	∞∑	ADJ
ejpam-3400	218	4	m=0	m=0	PROPN
ejpam-3400	218	5	am3	am3	NOUN
ejpam-3400	218	6	m	m	VERB
ejpam-3400	218	7	!	!	PUNCT
ejpam-3400	219	1	∞∑	∞∑	NUM
ejpam-3400	219	2	m′=0	m′=0	NOUN
ejpam-3400	219	3	(	(	PUNCT
ejpam-3400	219	4	−a4)m	−a4)m	NOUN
ejpam-3400	219	5	′	′	NUM
ejpam-3400	219	6	m′	m′	PROPN
ejpam-3400	219	7	!	!	PUNCT
ejpam-3400	220	1	−	−	PROPN
ejpam-3400	220	2	ε9	ε9	PROPN
ejpam-3400	220	3	∞∑	∞∑	NUM
ejpam-3400	220	4	m	m	VERB
ejpam-3400	220	5	′	′	NUM
ejpam-3400	221	1	=	=	SYM
ejpam-3400	221	2	0	0	PUNCT
ejpam-3400	221	3	(	(	PUNCT
ejpam-3400	221	4	−a4)m	−a4)m	PROPN
ejpam-3400	221	5	′	′	NUM
ejpam-3400	221	6	m′	m′	PROPN
ejpam-3400	221	7	!	!	PUNCT
ejpam-3400	222	1	−	−	PROPN
ejpam-3400	223	1	ε8	ε8	ADJ
ejpam-3400	223	2	]	]	PUNCT
ejpam-3400	223	3	∂knn′mm′	∂knn′mm′	PROPN
ejpam-3400	223	4	(	(	PUNCT
ejpam-3400	223	5	a1	a1	PROPN
ejpam-3400	223	6	,	,	PUNCT
ejpam-3400	223	7	a2	a2	PROPN
ejpam-3400	223	8	,	,	PUNCT
ejpam-3400	223	9	a3	a3	NOUN
ejpam-3400	223	10	,	,	PUNCT
ejpam-3400	223	11	a4	a4	PROPN
ejpam-3400	223	12	,	,	PUNCT
ejpam-3400	223	13	t	t	NOUN
ejpam-3400	223	14	)	)	PUNCT
ejpam-3400	223	15	∂a4	∂a4	VERB
ejpam-3400	223	16	.	.	PUNCT
ejpam-3400	224	1	moreover	moreover	ADV
ejpam-3400	224	2	,	,	PUNCT
ejpam-3400	224	3	knowing	know	VERB
ejpam-3400	224	4	that:	that:	NUM
ejpam-3400	224	5	e(x	e(x	NUM
ejpam-3400	224	6	)	)	PUNCT
ejpam-3400	224	7	=	=	PUNCT
ejpam-3400	225	1	∂knn′mm	∂knn′mm	NOUN
ejpam-3400	225	2	′	′	NUM
ejpam-3400	225	3	(	(	PUNCT
ejpam-3400	225	4	a1	a1	PROPN
ejpam-3400	225	5	,	,	PUNCT
ejpam-3400	225	6	a2	a2	PROPN
ejpam-3400	225	7	,	,	PUNCT
ejpam-3400	225	8	a3	a3	NOUN
ejpam-3400	225	9	,	,	PUNCT
ejpam-3400	225	10	a4	a4	PROPN
ejpam-3400	225	11	,	,	PUNCT
ejpam-3400	225	12	t	t	PROPN
ejpam-3400	225	13	)	)	PUNCT
ejpam-3400	225	14	v	v	NOUN
ejpam-3400	225	15	(	(	PUNCT
ejpam-3400	225	16	x	x	NOUN
ejpam-3400	225	17	)	)	PUNCT
ejpam-3400	225	18	=	=	SYM
ejpam-3400	225	19	∂2knn′mm′	∂2knn′mm′	VERB
ejpam-3400	225	20	(	(	PUNCT
ejpam-3400	225	21	a1	a1	PROPN
ejpam-3400	225	22	,	,	PUNCT
ejpam-3400	225	23	a2	a2	PROPN
ejpam-3400	225	24	,	,	PUNCT
ejpam-3400	225	25	a3	a3	NOUN
ejpam-3400	225	26	,	,	PUNCT
ejpam-3400	225	27	a4	a4	PROPN
ejpam-3400	225	28	,	,	PUNCT
ejpam-3400	225	29	t	t	PROPN
ejpam-3400	225	30	)	)	PUNCT
ejpam-3400	225	31	.	.	PUNCT
ejpam-3400	225	32	.	.	PUNCT
ejpam-3400	226	1	(	(	PUNCT
ejpam-3400	226	2	10	10	NUM
ejpam-3400	226	3	)	)	PUNCT
ejpam-3400	226	4	which	which	PRON
ejpam-3400	226	5	gives	give	VERB
ejpam-3400	226	6	us:	us:	PROPN
ejpam-3400	226	7	e(xi(t	e(xi(t	PROPN
ejpam-3400	226	8	)	)	PUNCT
ejpam-3400	226	9	)	)	PUNCT
ejpam-3400	227	1	=	=	PUNCT
ejpam-3400	227	2	dknn′mm′	dknn′mm′	ADJ
ejpam-3400	227	3	(	(	PUNCT
ejpam-3400	227	4	a1	a1	PROPN
ejpam-3400	227	5	,	,	PUNCT
ejpam-3400	227	6	a2	a2	PROPN
ejpam-3400	227	7	,	,	PUNCT
ejpam-3400	227	8	a3	a3	NOUN
ejpam-3400	227	9	,	,	PUNCT
ejpam-3400	227	10	a4	a4	PROPN
ejpam-3400	227	11	,	,	PUNCT
ejpam-3400	227	12	t	t	PROPN
ejpam-3400	227	13	)	)	PUNCT
ejpam-3400	227	14	dai	dai	PROPN
ejpam-3400	227	15	|t=0	|t=0	PROPN
ejpam-3400	227	16	v	v	PROPN
ejpam-3400	227	17	(	(	PUNCT
ejpam-3400	227	18	xi(t	xi(t	NOUN
ejpam-3400	227	19	)	)	PUNCT
ejpam-3400	227	20	)	)	PUNCT
ejpam-3400	228	1	=	=	PUNCT
ejpam-3400	229	1	d2knn′mm′	d2knn′mm′	PROPN
ejpam-3400	229	2	(	(	PUNCT
ejpam-3400	229	3	a1	a1	PROPN
ejpam-3400	229	4	,	,	PUNCT
ejpam-3400	229	5	a2	a2	PROPN
ejpam-3400	229	6	,	,	PUNCT
ejpam-3400	229	7	a3	a3	NOUN
ejpam-3400	229	8	,	,	PUNCT
ejpam-3400	229	9	a4	a4	PROPN
ejpam-3400	229	10	,	,	PUNCT
ejpam-3400	229	11	t	t	PROPN
ejpam-3400	229	12	)	)	PUNCT
ejpam-3400	229	13	da2i	da2i	PROPN
ejpam-3400	229	14	|t=0	|t=0	PROPN
ejpam-3400	229	15	pour	pour	VERB
ejpam-3400	229	16	i	i	NOUN
ejpam-3400	229	17	=	=	NOUN
ejpam-3400	229	18	1	1	NUM
ejpam-3400	229	19	,	,	PUNCT
ejpam-3400	229	20	2	2	NUM
ejpam-3400	229	21	,	,	PUNCT
ejpam-3400	229	22	3	3	NUM
ejpam-3400	229	23	,	,	PUNCT
ejpam-3400	229	24	4	4	NUM
ejpam-3400	229	25	(	(	PUNCT
ejpam-3400	229	26	11	11	NUM
ejpam-3400	229	27	)	)	PUNCT
ejpam-3400	229	28	using	use	VERB
ejpam-3400	229	29	the	the	DET
ejpam-3400	229	30	moment	moment	NOUN
ejpam-3400	229	31	generating	generate	VERB
ejpam-3400	229	32	function	function	NOUN
ejpam-3400	229	33	(	(	PUNCT
ejpam-3400	229	34	5	5	NUM
ejpam-3400	229	35	)	)	PUNCT
ejpam-3400	229	36	,	,	PUNCT
ejpam-3400	229	37	we	we	PRON
ejpam-3400	229	38	can	can	AUX
ejpam-3400	229	39	determine	determine	VERB
ejpam-3400	229	40	the	the	DET
ejpam-3400	229	41	average	average	ADJ
ejpam-3400	229	42	and	and	CCONJ
ejpam-3400	229	43	variance	variance	NOUN
ejpam-3400	229	44	of	of	ADP
ejpam-3400	229	45	each	each	DET
ejpam-3400	229	46	state	state	NOUN
ejpam-3400	229	47	.	.	PUNCT
ejpam-3400	230	1	the	the	DET
ejpam-3400	230	2	derivative	derivative	NOUN
ejpam-3400	230	3	of	of	ADP
ejpam-3400	230	4	5	5	NUM
ejpam-3400	230	5	gives	give	VERB
ejpam-3400	230	6	:	:	PUNCT
ejpam-3400	230	7	∂k(a1	∂k(a1	PROPN
ejpam-3400	230	8	,	,	PUNCT
ejpam-3400	230	9	a2	a2	PROPN
ejpam-3400	230	10	,	,	PUNCT
ejpam-3400	230	11	a3	a3	NOUN
ejpam-3400	230	12	,	,	PUNCT
ejpam-3400	230	13	a4	a4	PROPN
ejpam-3400	230	14	,	,	PUNCT
ejpam-3400	230	15	t	t	NOUN
ejpam-3400	230	16	)	)	PUNCT
ejpam-3400	231	1	∂t	∂t	PROPN
ejpam-3400	231	2	=	=	PUNCT
ejpam-3400	232	1	∞∑	∞∑	NUM
ejpam-3400	232	2	n	n	CCONJ
ejpam-3400	232	3	,	,	PUNCT
ejpam-3400	232	4	n′	n′	PROPN
ejpam-3400	232	5	,	,	PUNCT
ejpam-3400	232	6	m	m	PROPN
ejpam-3400	232	7	,	,	PUNCT
ejpam-3400	232	8	m′=0	m′=0	PROPN
ejpam-3400	232	9	an1	an1	PROPN
ejpam-3400	232	10	n	n	PROPN
ejpam-3400	232	11	!	!	PUNCT
ejpam-3400	233	1	an	an	DET
ejpam-3400	233	2	′	′	NUM
ejpam-3400	233	3	2	2	NUM
ejpam-3400	233	4	n′	n′	PROPN
ejpam-3400	233	5	!	!	PUNCT
ejpam-3400	234	1	am3	am3	PROPN
ejpam-3400	234	2	m	m	VERB
ejpam-3400	234	3	!	!	PUNCT
ejpam-3400	234	4	am	be	AUX
ejpam-3400	234	5	′	′	NUM
ejpam-3400	234	6	4	4	NUM
ejpam-3400	234	7	m′	m′	NOUN
ejpam-3400	234	8	!	!	PUNCT
ejpam-3400	235	1	k	k	NOUN
ejpam-3400	236	1	′	′	NUM
ejpam-3400	236	2	n	n	CCONJ
ejpam-3400	236	3	,	,	PUNCT
ejpam-3400	236	4	n′	n′	PROPN
ejpam-3400	236	5	,	,	PUNCT
ejpam-3400	236	6	m	m	PROPN
ejpam-3400	236	7	,	,	PUNCT
ejpam-3400	236	8	m′	m′	NOUN
ejpam-3400	236	9	(	(	PUNCT
ejpam-3400	236	10	a1	a1	PROPN
ejpam-3400	236	11	,	,	PUNCT
ejpam-3400	236	12	a2	a2	PROPN
ejpam-3400	236	13	,	,	PUNCT
ejpam-3400	236	14	a3	a3	NOUN
ejpam-3400	236	15	,	,	PUNCT
ejpam-3400	236	16	a4	a4	PROPN
ejpam-3400	236	17	,	,	PUNCT
ejpam-3400	236	18	t	t	PROPN
ejpam-3400	236	19	)	)	PUNCT
ejpam-3400	236	20	.	.	PUNCT
ejpam-3400	237	1	(	(	PUNCT
ejpam-3400	237	2	12	12	NUM
ejpam-3400	237	3	)	)	PUNCT
ejpam-3400	237	4	h.	h.	PROPN
ejpam-3400	237	5	y.	y.	PROPN
ejpam-3400	237	6	talkibing	talkibing	PROPN
ejpam-3400	237	7	,	,	PUNCT
ejpam-3400	237	8	b.	b.	PROPN
ejpam-3400	237	9	diakarya	diakarya	PROPN
ejpam-3400	237	10	,	,	PUNCT
ejpam-3400	237	11	o.	o.	PROPN
ejpam-3400	237	12	fabrice	fabrice	PROPN
ejpam-3400	237	13	/	/	SYM
ejpam-3400	237	14	eur	eur	PROPN
ejpam-3400	237	15	.	.	PUNCT
ejpam-3400	238	1	j.	j.	PROPN
ejpam-3400	238	2	pure	pure	PROPN
ejpam-3400	238	3	appl	appl	PROPN
ejpam-3400	238	4	.	.	PROPN
ejpam-3400	238	5	math	math	PROPN
ejpam-3400	238	6	,	,	PUNCT
ejpam-3400	238	7	12	12	NUM
ejpam-3400	238	8	(	(	PUNCT
ejpam-3400	238	9	3	3	NUM
ejpam-3400	238	10	)	)	PUNCT
ejpam-3400	238	11	(	(	PUNCT
ejpam-3400	238	12	2019	2019	NUM
ejpam-3400	238	13	)	)	PUNCT
ejpam-3400	238	14	,	,	PUNCT
ejpam-3400	238	15	834	834	NUM
ejpam-3400	238	16	-	-	SYM
ejpam-3400	238	17	845	845	NUM
ejpam-3400	238	18	843	843	NUM
ejpam-3400	238	19	by	by	ADP
ejpam-3400	238	20	equalizing	equalize	VERB
ejpam-3400	238	21	the	the	DET
ejpam-3400	238	22	two	two	NUM
ejpam-3400	238	23	previous	previous	ADJ
ejpam-3400	238	24	expressions	expression	NOUN
ejpam-3400	238	25	(	(	PUNCT
ejpam-3400	238	26	12	12	NUM
ejpam-3400	238	27	)	)	PUNCT
ejpam-3400	238	28	and	and	CCONJ
ejpam-3400	238	29	(	(	PUNCT
ejpam-3400	238	30	5	5	NUM
ejpam-3400	238	31	)	)	PUNCT
ejpam-3400	238	32	and	and	CCONJ
ejpam-3400	238	33	using	use	VERB
ejpam-3400	238	34	the	the	DET
ejpam-3400	238	35	relationship	relationship	NOUN
ejpam-3400	238	36	(	(	PUNCT
ejpam-3400	238	37	11	11	NUM
ejpam-3400	238	38	)	)	PUNCT
ejpam-3400	238	39	,	,	PUNCT
ejpam-3400	238	40	we	we	PRON
ejpam-3400	238	41	obtain	obtain	VERB
ejpam-3400	238	42	a	a	DET
ejpam-3400	238	43	system	system	NOUN
ejpam-3400	238	44	of	of	ADP
ejpam-3400	238	45	linear	linear	PROPN
ejpam-3400	238	46	differential	differential	ADJ
ejpam-3400	238	47	equations	equation	NOUN
ejpam-3400	238	48	of	of	ADP
ejpam-3400	238	49	the	the	DET
ejpam-3400	238	50	first	first	ADJ
ejpam-3400	238	51	degree	degree	NOUN
ejpam-3400	238	52	whose	whose	DET
ejpam-3400	238	53	variables	variable	NOUN
ejpam-3400	238	54	are	be	AUX
ejpam-3400	238	55	means	mean	NOUN
ejpam-3400	238	56	of	of	ADP
ejpam-3400	238	57	each	each	DET
ejpam-3400	238	58	state	state	NOUN
ejpam-3400	238	59	of	of	ADP
ejpam-3400	238	60	the	the	DET
ejpam-3400	238	61	process	process	NOUN
ejpam-3400	238	62	defined	define	VERB
ejpam-3400	238	63	by	by	ADP
ejpam-3400	238	64	the	the	DET
ejpam-3400	238	65	relationship	relationship	NOUN
ejpam-3400	238	66	(	(	PUNCT
ejpam-3400	238	67	13).	13).	NUM
ejpam-3400	238	68	de(x1	de(x1	NOUN
ejpam-3400	238	69	)	)	PUNCT
ejpam-3400	238	70	dt	dt	NOUN
ejpam-3400	238	71	=	=	SYM
ejpam-3400	238	72	ρ1e(x1	ρ1e(x1	ADJ
ejpam-3400	238	73	)	)	PUNCT
ejpam-3400	238	74	de(x2	de(x2	NOUN
ejpam-3400	238	75	)	)	PUNCT
ejpam-3400	238	76	dt	dt	NOUN
ejpam-3400	239	1	=	=	SYM
ejpam-3400	239	2	ρ2e(x2	ρ2e(x2	NOUN
ejpam-3400	239	3	)	)	PUNCT
ejpam-3400	239	4	de(x3	de(x3	NUM
ejpam-3400	239	5	)	)	PUNCT
ejpam-3400	239	6	dt	dt	X
ejpam-3400	240	1	=	=	SYM
ejpam-3400	240	2	ρ3e(x3	ρ3e(x3	NUM
ejpam-3400	240	3	)	)	PUNCT
ejpam-3400	241	1	+	+	CCONJ
ejpam-3400	241	2	σ4e(x2x3	σ4e(x2x3	X
ejpam-3400	241	3	)	)	PUNCT
ejpam-3400	241	4	+	+	NOUN
ejpam-3400	241	5	ρ5e(x2	ρ5e(x2	NOUN
ejpam-3400	241	6	)	)	PUNCT
ejpam-3400	241	7	de(x4	de(x4	NOUN
ejpam-3400	241	8	)	)	PUNCT
ejpam-3400	241	9	dt	dt	NOUN
ejpam-3400	242	1	=	=	SYM
ejpam-3400	242	2	ρ6e(x4	ρ6e(x4	PROPN
ejpam-3400	242	3	)	)	PUNCT
ejpam-3400	243	1	+	+	CCONJ
ejpam-3400	243	2	ρ7e(x2x4)−	ρ7e(x2x4)−	PROPN
ejpam-3400	243	3	ε5e(x3	ε5e(x3	PROPN
ejpam-3400	243	4	)	)	PUNCT
ejpam-3400	243	5	.	.	PUNCT
ejpam-3400	244	1	(	(	PUNCT
ejpam-3400	244	2	13	13	NUM
ejpam-3400	244	3	)	)	PUNCT
ejpam-3400	244	4	with	with	ADP
ejpam-3400	244	5	ρi	ρi	PROPN
ejpam-3400	244	6	,	,	PUNCT
ejpam-3400	244	7	i	i	NOUN
ejpam-3400	244	8	=	=	NOUN
ejpam-3400	244	9	1	1	NUM
ejpam-3400	244	10	,	,	PUNCT
ejpam-3400	244	11	...	...	PUNCT
ejpam-3400	244	12	,	,	PUNCT
ejpam-3400	244	13	8	8	NUM
ejpam-3400	244	14	,	,	PUNCT
ejpam-3400	245	1	the	the	DET
ejpam-3400	245	2	strictly	strictly	ADV
ejpam-3400	245	3	positive	positive	ADJ
ejpam-3400	245	4	constants	constant	NOUN
ejpam-3400	245	5	defined	define	VERB
ejpam-3400	245	6	by	by	ADP
ejpam-3400	245	7	the	the	DET
ejpam-3400	245	8	system	system	NOUN
ejpam-3400	245	9	(	(	PUNCT
ejpam-3400	245	10	14	14	NUM
ejpam-3400	245	11	)	)	PUNCT
ejpam-3400	245	12	:	:	PUNCT
ejpam-3400	245	13			NOUN
ejpam-3400	245	14	ρ1	ρ1	NOUN
ejpam-3400	245	15	=	=	SYM
ejpam-3400	245	16	σ4	σ4	NOUN
ejpam-3400	245	17	+	+	CCONJ
ejpam-3400	245	18	σ2	σ2	PROPN
ejpam-3400	245	19	+	+	CCONJ
ejpam-3400	245	20	η	η	PROPN
ejpam-3400	245	21	+	+	ADP
ejpam-3400	245	22	ε8	ε8	ADJ
ejpam-3400	245	23	−	−	PROPN
ejpam-3400	245	24	ε5	ε5	PROPN
ejpam-3400	245	25	−	−	PROPN
ejpam-3400	245	26	ε4	ε4	PROPN
ejpam-3400	245	27	+	+	CCONJ
ejpam-3400	245	28	ε3	ε3	PROPN
ejpam-3400	245	29	−	−	PROPN
ejpam-3400	245	30	ε2	ε2	NOUN
ejpam-3400	245	31	+	+	CCONJ
ejpam-3400	245	32	γ	γ	X
ejpam-3400	245	33	+	+	NOUN
ejpam-3400	245	34	α	α	NOUN
ejpam-3400	245	35	ρ2	ρ2	NOUN
ejpam-3400	245	36	=	=	SYM
ejpam-3400	245	37	σ4	σ4	NOUN
ejpam-3400	245	38	+	+	CCONJ
ejpam-3400	245	39	η	η	PROPN
ejpam-3400	245	40	+	+	ADP
ejpam-3400	245	41	ε8	ε8	ADJ
ejpam-3400	245	42	−	−	PROPN
ejpam-3400	245	43	ε4	ε4	NOUN
ejpam-3400	245	44	+	+	CCONJ
ejpam-3400	245	45	ε3	ε3	PROPN
ejpam-3400	245	46	−	−	PROPN
ejpam-3400	245	47	ε2	ε2	NOUN
ejpam-3400	245	48	+	+	CCONJ
ejpam-3400	245	49	γ	γ	X
ejpam-3400	245	50	+	+	X
ejpam-3400	245	51	α+	α+	X
ejpam-3400	245	52	β	β	NOUN
ejpam-3400	245	53	ρ3	ρ3	NOUN
ejpam-3400	245	54	=	=	SYM
ejpam-3400	245	55	σ4	σ4	NOUN
ejpam-3400	245	56	+	+	CCONJ
ejpam-3400	245	57	σ3	σ3	PROPN
ejpam-3400	245	58	+	+	CCONJ
ejpam-3400	245	59	σ2	σ2	PROPN
ejpam-3400	245	60	+	+	CCONJ
ejpam-3400	245	61	η	η	PROPN
ejpam-3400	245	62	−	−	PROPN
ejpam-3400	245	63	ε9	ε9	PROPN
ejpam-3400	245	64	+	+	CCONJ
ejpam-3400	245	65	ε8	ε8	ADJ
ejpam-3400	245	66	−	−	PROPN
ejpam-3400	245	67	ε7	ε7	NOUN
ejpam-3400	245	68	+	+	CCONJ
ejpam-3400	245	69	ε6	ε6	PROPN
ejpam-3400	245	70	−−ε5	−−ε5	PROPN
ejpam-3400	245	71	−	−	PROPN
ejpam-3400	245	72	ε4	ε4	NOUN
ejpam-3400	245	73	+	+	CCONJ
ejpam-3400	245	74	ε3	ε3	PROPN
ejpam-3400	245	75	−	−	PROPN
ejpam-3400	245	76	ε2	ε2	NOUN
ejpam-3400	245	77	+	+	CCONJ
ejpam-3400	245	78	γ	γ	X
ejpam-3400	245	79	+	+	X
ejpam-3400	245	80	α+	α+	X
ejpam-3400	245	81	β	β	NOUN
ejpam-3400	245	82	ρ4	ρ4	ADV
ejpam-3400	245	83	=	=	SYM
ejpam-3400	245	84	σ3	σ3	PROPN
ejpam-3400	245	85	−	−	PROPN
ejpam-3400	245	86	ε7	ε7	PROPN
ejpam-3400	245	87	+	+	CCONJ
ejpam-3400	245	88	ε6	ε6	PROPN
ejpam-3400	245	89	−	−	PROPN
ejpam-3400	245	90	β	β	SYM
ejpam-3400	245	91	ρ5	ρ5	NOUN
ejpam-3400	245	92	=	=	PROPN
ejpam-3400	245	93	σ3	σ3	PROPN
ejpam-3400	245	94	+	+	CCONJ
ejpam-3400	245	95	σ7	σ7	ADJ
ejpam-3400	245	96	−	−	PROPN
ejpam-3400	245	97	β	β	NOUN
ejpam-3400	245	98	ρ6	ρ6	NOUN
ejpam-3400	245	99	=	=	SYM
ejpam-3400	245	100	σ4	σ4	NOUN
ejpam-3400	245	101	+	+	CCONJ
ejpam-3400	245	102	σ3	σ3	PROPN
ejpam-3400	245	103	+	+	CCONJ
ejpam-3400	245	104	σ2	σ2	PROPN
ejpam-3400	245	105	+	+	CCONJ
ejpam-3400	245	106	η	η	PROPN
ejpam-3400	245	107	−	−	PROPN
ejpam-3400	245	108	ε9	ε9	PROPN
ejpam-3400	245	109	+	+	CCONJ
ejpam-3400	245	110	ε8	ε8	ADJ
ejpam-3400	245	111	−	−	PROPN
ejpam-3400	245	112	σ7	σ7	ADJ
ejpam-3400	245	113	+	+	CCONJ
ejpam-3400	245	114	ε6	ε6	PROPN
ejpam-3400	245	115	−	−	PROPN
ejpam-3400	245	116	ε5	ε5	PROPN
ejpam-3400	245	117	−	−	PROPN
ejpam-3400	245	118	ε4	ε4	PROPN
ejpam-3400	245	119	+	+	CCONJ
ejpam-3400	245	120	ε3	ε3	PROPN
ejpam-3400	245	121	−	−	PROPN
ejpam-3400	245	122	ε2	ε2	NOUN
ejpam-3400	245	123	+	+	CCONJ
ejpam-3400	245	124	γ	γ	X
ejpam-3400	245	125	+	+	X
ejpam-3400	245	126	α+	α+	X
ejpam-3400	245	127	β	β	X
ejpam-3400	245	128	ρ7	ρ7	NOUN
ejpam-3400	245	129	=	=	SYM
ejpam-3400	245	130	σ3	σ3	PROPN
ejpam-3400	245	131	+	+	PROPN
ejpam-3400	245	132	−ε7	−ε7	NOUN
ejpam-3400	245	133	+	+	CCONJ
ejpam-3400	245	134	ε6	ε6	NOUN
ejpam-3400	245	135	+	+	CCONJ
ejpam-3400	245	136	β	β	X
ejpam-3400	245	137	(	(	PUNCT
ejpam-3400	245	138	14	14	NUM
ejpam-3400	245	139	)	)	PUNCT
ejpam-3400	245	140	the	the	DET
ejpam-3400	245	141	dispersion	dispersion	NOUN
ejpam-3400	245	142	in	in	ADP
ejpam-3400	245	143	turn	turn	NOUN
ejpam-3400	245	144	of	of	ADP
ejpam-3400	245	145	the	the	DET
ejpam-3400	245	146	average	average	NOUN
ejpam-3400	245	147	of	of	ADP
ejpam-3400	245	148	each	each	DET
ejpam-3400	245	149	state	state	NOUN
ejpam-3400	245	150	of	of	ADP
ejpam-3400	245	151	the	the	DET
ejpam-3400	245	152	process	process	NOUN
ejpam-3400	245	153	is	be	AUX
ejpam-3400	245	154	given	give	VERB
ejpam-3400	245	155	by	by	ADP
ejpam-3400	245	156	the	the	DET
ejpam-3400	245	157	relationship	relationship	NOUN
ejpam-3400	245	158	(	(	PUNCT
ejpam-3400	245	159	15	15	NUM
ejpam-3400	245	160	)	)	PUNCT
ejpam-3400	245	161	.	.	PUNCT
ejpam-3400	246	1	for	for	ADP
ejpam-3400	246	2	a	a	DET
ejpam-3400	246	3	statistic	statistic	NOUN
ejpam-3400	246	4	with	with	ADP
ejpam-3400	246	5	little	little	ADJ
ejpam-3400	246	6	dispersion	dispersion	NOUN
ejpam-3400	246	7	,	,	PUNCT
ejpam-3400	246	8	the	the	DET
ejpam-3400	246	9	observations	observation	NOUN
ejpam-3400	246	10	are	be	AUX
ejpam-3400	246	11	close	close	ADJ
ejpam-3400	246	12	to	to	ADP
ejpam-3400	246	13	each	each	DET
ejpam-3400	246	14	other	other	ADJ
ejpam-3400	246	15	,	,	PUNCT
ejpam-3400	246	16	and	and	CCONJ
ejpam-3400	246	17	therefore	therefore	ADV
ejpam-3400	246	18	to	to	ADP
ejpam-3400	246	19	their	their	PRON
ejpam-3400	246	20	average	average	NOUN
ejpam-3400	246	21	.	.	PUNCT
ejpam-3400	247	1			PROPN
ejpam-3400	247	2	dv	dv	PROPN
ejpam-3400	247	3	(	(	PUNCT
ejpam-3400	247	4	x1	x1	PROPN
ejpam-3400	247	5	)	)	PUNCT
ejpam-3400	247	6	dt	dt	NOUN
ejpam-3400	248	1	=	=	NOUN
ejpam-3400	248	2	1	1	NUM
ejpam-3400	248	3	2(σ2	2(σ2	NUM
ejpam-3400	248	4	+	+	NUM
ejpam-3400	248	5	η	η	PROPN
ejpam-3400	248	6	+	+	CCONJ
ejpam-3400	248	7	ε2	ε2	ADJ
ejpam-3400	248	8	+	+	CCONJ
ejpam-3400	248	9	ε3	ε3	ADJ
ejpam-3400	248	10	+	+	CCONJ
ejpam-3400	248	11	γ	γ	X
ejpam-3400	248	12	+	+	X
ejpam-3400	248	13	α)v	α)v	NOUN
ejpam-3400	248	14	(	(	PUNCT
ejpam-3400	248	15	x1	x1	PROPN
ejpam-3400	248	16	)	)	PUNCT
ejpam-3400	248	17	dv	dv	PROPN
ejpam-3400	248	18	(	(	PUNCT
ejpam-3400	248	19	x2	x2	PROPN
ejpam-3400	248	20	)	)	PUNCT
ejpam-3400	248	21	dt	dt	NOUN
ejpam-3400	249	1	=	=	NOUN
ejpam-3400	249	2	1	1	NUM
ejpam-3400	249	3	2(σ4	2(σ4	NUM
ejpam-3400	249	4	+	+	CCONJ
ejpam-3400	249	5	σ2	σ2	PROPN
ejpam-3400	249	6	+	+	CCONJ
ejpam-3400	249	7	η	η	PROPN
ejpam-3400	249	8	+	+	CCONJ
ejpam-3400	249	9	ε6	ε6	ADJ
ejpam-3400	249	10	+	+	CCONJ
ejpam-3400	249	11	ε3	ε3	ADJ
ejpam-3400	249	12	+	+	CCONJ
ejpam-3400	249	13	ε2	ε2	ADJ
ejpam-3400	249	14	+	+	CCONJ
ejpam-3400	249	15	γ	γ	NOUN
ejpam-3400	249	16	+	+	CCONJ
ejpam-3400	249	17	β)v	β)v	PUNCT
ejpam-3400	249	18	(	(	PUNCT
ejpam-3400	249	19	x2	x2	PROPN
ejpam-3400	249	20	)	)	PUNCT
ejpam-3400	249	21	dv	dv	PROPN
ejpam-3400	249	22	(	(	PUNCT
ejpam-3400	249	23	x3	x3	ADJ
ejpam-3400	249	24	)	)	PUNCT
ejpam-3400	249	25	dt	dt	NOUN
ejpam-3400	250	1	=	=	SYM
ejpam-3400	250	2	1	1	NUM
ejpam-3400	250	3	2(σ4	2(σ4	NUM
ejpam-3400	250	4	+	+	NUM
ejpam-3400	250	5	σ3	σ3	PROPN
ejpam-3400	250	6	+	+	CCONJ
ejpam-3400	250	7	σ2	σ2	PROPN
ejpam-3400	250	8	+	+	CCONJ
ejpam-3400	250	9	η	η	PROPN
ejpam-3400	250	10	+	+	PROPN
ejpam-3400	250	11	ε9	ε9	PROPN
ejpam-3400	250	12	+	+	CCONJ
ejpam-3400	250	13	ε3	ε3	ADJ
ejpam-3400	250	14	+	+	CCONJ
ejpam-3400	250	15	ε2	ε2	ADJ
ejpam-3400	250	16	+	+	CCONJ
ejpam-3400	250	17	γ	γ	NOUN
ejpam-3400	250	18	+	+	CCONJ
ejpam-3400	250	19	β)v	β)v	PUNCT
ejpam-3400	250	20	(	(	PUNCT
ejpam-3400	250	21	x3	x3	ADJ
ejpam-3400	250	22	)	)	PUNCT
ejpam-3400	250	23	dv	dv	PROPN
ejpam-3400	250	24	(	(	PUNCT
ejpam-3400	250	25	x4	x4	PROPN
ejpam-3400	250	26	)	)	PUNCT
ejpam-3400	250	27	dt	dt	NOUN
ejpam-3400	251	1	=	=	SYM
ejpam-3400	251	2	1	1	NUM
ejpam-3400	251	3	2(σ4	2(σ4	NUM
ejpam-3400	251	4	+	+	NUM
ejpam-3400	251	5	σ3	σ3	PROPN
ejpam-3400	251	6	+	+	CCONJ
ejpam-3400	251	7	σ2	σ2	PROPN
ejpam-3400	251	8	+	+	CCONJ
ejpam-3400	251	9	η	η	PROPN
ejpam-3400	251	10	+	+	PROPN
ejpam-3400	251	11	ε9	ε9	PROPN
ejpam-3400	251	12	+	+	CCONJ
ejpam-3400	251	13	ε8	ε8	ADJ
ejpam-3400	251	14	+	+	CCONJ
ejpam-3400	251	15	ε7	ε7	PROPN
ejpam-3400	251	16	+	+	CCONJ
ejpam-3400	252	1	+	+	ADJ
ejpam-3400	252	2	ε6	ε6	ADJ
ejpam-3400	252	3	+	+	X
ejpam-3400	252	4	+	+	ADJ
ejpam-3400	252	5	ε5	ε5	ADJ
ejpam-3400	252	6	+	+	CCONJ
ejpam-3400	252	7	ε3	ε3	ADJ
ejpam-3400	252	8	+	+	CCONJ
ejpam-3400	252	9	α)v	α)v	NOUN
ejpam-3400	252	10	(	(	PUNCT
ejpam-3400	252	11	x4	x4	PROPN
ejpam-3400	252	12	)	)	PUNCT
ejpam-3400	252	13	.	.	PUNCT
ejpam-3400	253	1	(	(	PUNCT
ejpam-3400	253	2	15	15	X
ejpam-3400	253	3	)	)	PUNCT
ejpam-3400	253	4	h.	h.	PROPN
ejpam-3400	253	5	y.	y.	PROPN
ejpam-3400	253	6	talkibing	talkibing	PROPN
ejpam-3400	253	7	,	,	PUNCT
ejpam-3400	253	8	b.	b.	PROPN
ejpam-3400	253	9	diakarya	diakarya	PROPN
ejpam-3400	253	10	,	,	PUNCT
ejpam-3400	253	11	o.	o.	PROPN
ejpam-3400	253	12	fabrice	fabrice	PROPN
ejpam-3400	253	13	/	/	SYM
ejpam-3400	253	14	eur	eur	PROPN
ejpam-3400	253	15	.	.	PUNCT
ejpam-3400	254	1	j.	j.	PROPN
ejpam-3400	254	2	pure	pure	PROPN
ejpam-3400	254	3	appl	appl	PROPN
ejpam-3400	254	4	.	.	PROPN
ejpam-3400	254	5	math	math	PROPN
ejpam-3400	254	6	,	,	PUNCT
ejpam-3400	254	7	12	12	NUM
ejpam-3400	254	8	(	(	PUNCT
ejpam-3400	254	9	3	3	NUM
ejpam-3400	254	10	)	)	PUNCT
ejpam-3400	254	11	(	(	PUNCT
ejpam-3400	254	12	2019	2019	NUM
ejpam-3400	254	13	)	)	PUNCT
ejpam-3400	254	14	,	,	PUNCT
ejpam-3400	254	15	834	834	NUM
ejpam-3400	254	16	-	-	SYM
ejpam-3400	254	17	845	845	NUM
ejpam-3400	254	18	844	844	NUM
ejpam-3400	254	19	the	the	DET
ejpam-3400	254	20	degree	degree	NOUN
ejpam-3400	254	21	of	of	ADP
ejpam-3400	254	22	the	the	DET
ejpam-3400	254	23	links	link	NOUN
ejpam-3400	254	24	between	between	ADP
ejpam-3400	254	25	the	the	DET
ejpam-3400	254	26	different	different	ADJ
ejpam-3400	254	27	states	state	NOUN
ejpam-3400	254	28	of	of	ADP
ejpam-3400	254	29	the	the	DET
ejpam-3400	254	30	process	process	NOUN
ejpam-3400	254	31	can	can	AUX
ejpam-3400	254	32	be	be	AUX
ejpam-3400	254	33	estimated	estimate	VERB
ejpam-3400	254	34	from	from	ADP
ejpam-3400	254	35	the	the	DET
ejpam-3400	254	36	co	co	NOUN
ejpam-3400	254	37	-	-	NOUN
ejpam-3400	254	38	variables	variable	NOUN
ejpam-3400	254	39	by	by	ADP
ejpam-3400	254	40	solving	solve	VERB
ejpam-3400	254	41	differential	differential	ADJ
ejpam-3400	254	42	equations	equation	NOUN
ejpam-3400	254	43	of	of	ADP
ejpam-3400	254	44	the	the	DET
ejpam-3400	254	45	relationship	relationship	NOUN
ejpam-3400	254	46	(	(	PUNCT
ejpam-3400	254	47	16	16	NUM
ejpam-3400	254	48	)	)	PUNCT
ejpam-3400	254	49	.	.	PUNCT
ejpam-3400	255	1			X
ejpam-3400	255	2	dcov	dcov	PROPN
ejpam-3400	255	3	(	(	PUNCT
ejpam-3400	255	4	x1x2	x1x2	X
ejpam-3400	255	5	)	)	PUNCT
ejpam-3400	255	6	dt	dt	NOUN
ejpam-3400	255	7	=	=	PUNCT
ejpam-3400	255	8	(	(	PUNCT
ejpam-3400	255	9	σ4	σ4	NOUN
ejpam-3400	255	10	+	+	CCONJ
ejpam-3400	255	11	σ2	σ2	PROPN
ejpam-3400	255	12	+	+	CCONJ
ejpam-3400	255	13	η	η	PROPN
ejpam-3400	255	14	−	−	PROPN
ejpam-3400	255	15	ε9	ε9	PROPN
ejpam-3400	255	16	+	+	CCONJ
ejpam-3400	255	17	ε8	ε8	ADJ
ejpam-3400	255	18	+	+	CCONJ
ejpam-3400	255	19	ε3	ε3	ADJ
ejpam-3400	255	20	−	−	PROPN
ejpam-3400	255	21	ε2	ε2	NOUN
ejpam-3400	255	22	+	+	CCONJ
ejpam-3400	255	23	γ	γ	X
ejpam-3400	255	24	+	+	X
ejpam-3400	255	25	α)cov	α)cov	PROPN
ejpam-3400	255	26	(	(	PUNCT
ejpam-3400	255	27	x1x2	x1x2	NOUN
ejpam-3400	255	28	)	)	PUNCT
ejpam-3400	255	29	dcov	dcov	NOUN
ejpam-3400	255	30	(	(	PUNCT
ejpam-3400	255	31	x1x3	x1x3	X
ejpam-3400	255	32	)	)	PUNCT
ejpam-3400	255	33	dt	dt	PROPN
ejpam-3400	256	1	=	=	PUNCT
ejpam-3400	256	2	(	(	PUNCT
ejpam-3400	256	3	σ4	σ4	NOUN
ejpam-3400	256	4	+	+	CCONJ
ejpam-3400	256	5	σ3	σ3	PROPN
ejpam-3400	256	6	+	+	CCONJ
ejpam-3400	256	7	σ2	σ2	PROPN
ejpam-3400	256	8	+	+	CCONJ
ejpam-3400	256	9	η	η	PROPN
ejpam-3400	256	10	−	−	PROPN
ejpam-3400	256	11	ε9	ε9	PROPN
ejpam-3400	256	12	+	+	CCONJ
ejpam-3400	256	13	ε8	ε8	ADJ
ejpam-3400	256	14	−	−	PROPN
ejpam-3400	256	15	ε7	ε7	NOUN
ejpam-3400	256	16	+	+	CCONJ
ejpam-3400	256	17	ε6	ε6	PROPN
ejpam-3400	256	18	−	−	PROPN
ejpam-3400	256	19	ε5	ε5	PROPN
ejpam-3400	256	20	−	−	PROPN
ejpam-3400	256	21	ε4	ε4	PROPN
ejpam-3400	256	22	+	+	CCONJ
ejpam-3400	256	23	ε3	ε3	PROPN
ejpam-3400	256	24	−	−	PROPN
ejpam-3400	256	25	ε2	ε2	NOUN
ejpam-3400	256	26	+	+	CCONJ
ejpam-3400	256	27	γ	γ	X
ejpam-3400	256	28	+	+	X
ejpam-3400	256	29	α+	α+	PUNCT
ejpam-3400	256	30	β)cov	β)cov	X
ejpam-3400	256	31	(	(	PUNCT
ejpam-3400	256	32	x1x3	x1x3	X
ejpam-3400	256	33	)	)	PUNCT
ejpam-3400	256	34	dcov	dcov	PROPN
ejpam-3400	256	35	(	(	PUNCT
ejpam-3400	256	36	x2x3	x2x3	X
ejpam-3400	256	37	)	)	PUNCT
ejpam-3400	256	38	dt	dt	NOUN
ejpam-3400	256	39	=	=	PUNCT
ejpam-3400	256	40	(	(	PUNCT
ejpam-3400	256	41	σ4	σ4	NOUN
ejpam-3400	256	42	+	+	CCONJ
ejpam-3400	256	43	σ3	σ3	PROPN
ejpam-3400	256	44	+	+	CCONJ
ejpam-3400	256	45	σ2	σ2	PROPN
ejpam-3400	256	46	+	+	CCONJ
ejpam-3400	256	47	η	η	PROPN
ejpam-3400	256	48	−	−	PROPN
ejpam-3400	256	49	ε9	ε9	PROPN
ejpam-3400	256	50	+	+	CCONJ
ejpam-3400	256	51	ε8	ε8	ADJ
ejpam-3400	256	52	−	−	PROPN
ejpam-3400	256	53	ε5	ε5	PROPN
ejpam-3400	256	54	−	−	PROPN
ejpam-3400	256	55	ε4	ε4	PROPN
ejpam-3400	256	56	+	+	CCONJ
ejpam-3400	256	57	ε3	ε3	PROPN
ejpam-3400	256	58	−	−	PROPN
ejpam-3400	256	59	ε2	ε2	NOUN
ejpam-3400	256	60	+	+	CCONJ
ejpam-3400	256	61	γ	γ	X
ejpam-3400	256	62	+	+	X
ejpam-3400	256	63	α+	α+	PUNCT
ejpam-3400	256	64	β)cov	β)cov	X
ejpam-3400	256	65	(	(	PUNCT
ejpam-3400	256	66	x2x3	x2x3	X
ejpam-3400	256	67	)	)	PUNCT
ejpam-3400	256	68	dcov	dcov	NOUN
ejpam-3400	256	69	(	(	PUNCT
ejpam-3400	256	70	x2x4	x2x4	NOUN
ejpam-3400	256	71	)	)	PUNCT
ejpam-3400	256	72	dt	dt	NOUN
ejpam-3400	257	1	=	=	PUNCT
ejpam-3400	257	2	(	(	PUNCT
ejpam-3400	257	3	σ4	σ4	NOUN
ejpam-3400	257	4	+	+	CCONJ
ejpam-3400	257	5	σ2	σ2	PROPN
ejpam-3400	257	6	+	+	CCONJ
ejpam-3400	257	7	η	η	PROPN
ejpam-3400	257	8	−	−	PROPN
ejpam-3400	257	9	ε9	ε9	PROPN
ejpam-3400	258	1	−	−	PROPN
ejpam-3400	258	2	ε5	ε5	PROPN
ejpam-3400	258	3	−	−	PROPN
ejpam-3400	258	4	ε4	ε4	PROPN
ejpam-3400	258	5	+	+	CCONJ
ejpam-3400	258	6	ε3	ε3	PROPN
ejpam-3400	258	7	−	−	PROPN
ejpam-3400	258	8	ε2	ε2	NOUN
ejpam-3400	258	9	+	+	CCONJ
ejpam-3400	258	10	γ	γ	X
ejpam-3400	258	11	+	+	X
ejpam-3400	258	12	α+	α+	PUNCT
ejpam-3400	258	13	β)cov	β)cov	X
ejpam-3400	258	14	(	(	PUNCT
ejpam-3400	258	15	x2x4	x2x4	NOUN
ejpam-3400	258	16	)	)	PUNCT
ejpam-3400	258	17	dcov	dcov	NOUN
ejpam-3400	258	18	(	(	PUNCT
ejpam-3400	258	19	x3x4	x3x4	NOUN
ejpam-3400	258	20	)	)	PUNCT
ejpam-3400	258	21	dt	dt	NOUN
ejpam-3400	259	1	=	=	PUNCT
ejpam-3400	259	2	(	(	PUNCT
ejpam-3400	259	3	σ4	σ4	NOUN
ejpam-3400	259	4	+	+	CCONJ
ejpam-3400	259	5	σ3	σ3	PROPN
ejpam-3400	259	6	+	+	CCONJ
ejpam-3400	259	7	σ2	σ2	PROPN
ejpam-3400	259	8	−	−	PROPN
ejpam-3400	259	9	ε9	ε9	PROPN
ejpam-3400	259	10	+	+	CCONJ
ejpam-3400	259	11	ε8	ε8	ADJ
ejpam-3400	259	12	+	+	CCONJ
ejpam-3400	259	13	ε7	ε7	PROPN
ejpam-3400	259	14	+	+	CCONJ
ejpam-3400	259	15	ε6	ε6	PROPN
ejpam-3400	259	16	−	−	PROPN
ejpam-3400	259	17	ε5	ε5	PROPN
ejpam-3400	259	18	−	−	PROPN
ejpam-3400	259	19	ε3	ε3	ADJ
ejpam-3400	259	20	−	−	PROPN
ejpam-3400	259	21	ε2	ε2	ADJ
ejpam-3400	259	22	+	+	CCONJ
ejpam-3400	259	23	α+	α+	X
ejpam-3400	259	24	β)cov	β)cov	ADJ
ejpam-3400	259	25	(	(	PUNCT
ejpam-3400	259	26	x3x4	x3x4	NOUN
ejpam-3400	259	27	)	)	PUNCT
ejpam-3400	259	28	dcov	dcov	NOUN
ejpam-3400	259	29	(	(	PUNCT
ejpam-3400	259	30	x1x4	x1x4	NOUN
ejpam-3400	259	31	)	)	PUNCT
ejpam-3400	259	32	dt	dt	NOUN
ejpam-3400	260	1	=	=	PUNCT
ejpam-3400	260	2	(	(	PUNCT
ejpam-3400	260	3	σ4	σ4	NOUN
ejpam-3400	260	4	+	+	CCONJ
ejpam-3400	260	5	σ2	σ2	PROPN
ejpam-3400	260	6	+	+	CCONJ
ejpam-3400	260	7	η	η	PROPN
ejpam-3400	260	8	−	−	PROPN
ejpam-3400	260	9	ε9	ε9	PROPN
ejpam-3400	261	1	−	−	PROPN
ejpam-3400	261	2	ε5	ε5	PROPN
ejpam-3400	261	3	−	−	PROPN
ejpam-3400	261	4	ε4	ε4	PROPN
ejpam-3400	261	5	+	+	CCONJ
ejpam-3400	261	6	ε3	ε3	PROPN
ejpam-3400	261	7	−	−	PROPN
ejpam-3400	261	8	ε2	ε2	NOUN
ejpam-3400	261	9	+	+	CCONJ
ejpam-3400	261	10	γ	γ	X
ejpam-3400	261	11	+	+	X
ejpam-3400	261	12	α)cov	α)cov	PROPN
ejpam-3400	261	13	(	(	PUNCT
ejpam-3400	261	14	x1x4	x1x4	X
ejpam-3400	261	15	)	)	PUNCT
ejpam-3400	261	16	(	(	PUNCT
ejpam-3400	261	17	16	16	NUM
ejpam-3400	261	18	)	)	PUNCT
ejpam-3400	261	19	the	the	DET
ejpam-3400	261	20	resolution	resolution	NOUN
ejpam-3400	261	21	of	of	ADP
ejpam-3400	261	22	the	the	DET
ejpam-3400	261	23	written	write	VERB
ejpam-3400	261	24	equation	equation	NOUN
ejpam-3400	261	25	system	system	NOUN
ejpam-3400	261	26	by	by	ADP
ejpam-3400	261	27	the	the	DET
ejpam-3400	261	28	relationships	relationship	NOUN
ejpam-3400	261	29	(	(	PUNCT
ejpam-3400	261	30	13	13	NUM
ejpam-3400	261	31	)	)	PUNCT
ejpam-3400	261	32	,	,	PUNCT
ejpam-3400	261	33	(	(	PUNCT
ejpam-3400	261	34	15	15	NUM
ejpam-3400	261	35	)	)	PUNCT
ejpam-3400	261	36	and	and	CCONJ
ejpam-3400	261	37	(	(	PUNCT
ejpam-3400	261	38	16	16	NUM
ejpam-3400	261	39	)	)	PUNCT
ejpam-3400	261	40	have	have	VERB
ejpam-3400	261	41	as	as	ADP
ejpam-3400	261	42	initial	initial	ADJ
ejpam-3400	261	43	conditions	condition	NOUN
ejpam-3400	261	44	:	:	PUNCT
ejpam-3400	261	45			PROPN
ejpam-3400	261	46	s(0	s(0	PROPN
ejpam-3400	261	47	)	)	PUNCT
ejpam-3400	261	48	=	=	SYM
ejpam-3400	261	49	s0	s0	PROPN
ejpam-3400	261	50	>	>	X
ejpam-3400	261	51	0	0	NUM
ejpam-3400	261	52	,	,	PUNCT
ejpam-3400	261	53	e(0	e(0	NOUN
ejpam-3400	261	54	)	)	PUNCT
ejpam-3400	261	55	=	=	SYM
ejpam-3400	261	56	e0	e0	PROPN
ejpam-3400	261	57	≥	≥	NUM
ejpam-3400	261	58	0	0	NUM
ejpam-3400	261	59	,	,	PUNCT
ejpam-3400	261	60	i(0	i(0	PROPN
ejpam-3400	261	61	)	)	PUNCT
ejpam-3400	261	62	=	=	VERB
ejpam-3400	262	1	i0	i0	PROPN
ejpam-3400	262	2	>	>	X
ejpam-3400	262	3	0	0	PROPN
ejpam-3400	262	4	,	,	PUNCT
ejpam-3400	262	5	r(0	r(0	PROPN
ejpam-3400	262	6	)	)	PUNCT
ejpam-3400	262	7	=	=	PUNCT
ejpam-3400	262	8	r0	r0	VERB
ejpam-3400	262	9	≥	≥	NOUN
ejpam-3400	262	10	0	0	NUM
ejpam-3400	262	11	φ(x1	φ(x1	NOUN
ejpam-3400	262	12	,	,	PUNCT
ejpam-3400	262	13	x2	x2	PROPN
ejpam-3400	262	14	,	,	PUNCT
ejpam-3400	262	15	x3	x3	PROPN
ejpam-3400	262	16	,	,	PUNCT
ejpam-3400	262	17	x4	x4	PROPN
ejpam-3400	262	18	,	,	PUNCT
ejpam-3400	262	19	0	0	NUM
ejpam-3400	262	20	)	)	PUNCT
ejpam-3400	262	21	=	=	SYM
ejpam-3400	263	1	xs0	xs0	PROPN
ejpam-3400	263	2	1	1	NUM
ejpam-3400	263	3	x	x	SYM
ejpam-3400	263	4	e0	e0	PROPN
ejpam-3400	263	5	2	2	NUM
ejpam-3400	263	6	xi03	xi03	PROPN
ejpam-3400	263	7	x	x	SYM
ejpam-3400	263	8	r0	r0	NOUN
ejpam-3400	263	9	4	4	NUM
ejpam-3400	263	10	,	,	PUNCT
ejpam-3400	263	11	m(a1	m(a1	NOUN
ejpam-3400	263	12	,	,	PUNCT
ejpam-3400	263	13	a2	a2	PROPN
ejpam-3400	263	14	,	,	PUNCT
ejpam-3400	263	15	a3	a3	NOUN
ejpam-3400	263	16	,	,	PUNCT
ejpam-3400	263	17	a4	a4	NOUN
ejpam-3400	263	18	,	,	PUNCT
ejpam-3400	263	19	0	0	NUM
ejpam-3400	263	20	)	)	PUNCT
ejpam-3400	263	21	=	=	PUNCT
ejpam-3400	264	1	ea1s0ea2e0ea3i0ea4r0	ea1s0ea2e0ea3i0ea4r0	PROPN
ejpam-3400	264	2	k(a1	k(a1	NOUN
ejpam-3400	264	3	,	,	PUNCT
ejpam-3400	264	4	a2	a2	PROPN
ejpam-3400	264	5	,	,	PUNCT
ejpam-3400	264	6	a3	a3	NOUN
ejpam-3400	264	7	,	,	PUNCT
ejpam-3400	264	8	a4	a4	NOUN
ejpam-3400	264	9	,	,	PUNCT
ejpam-3400	264	10	0	0	NUM
ejpam-3400	264	11	)	)	PUNCT
ejpam-3400	264	12	=	=	PUNCT
ejpam-3400	265	1	a1s0	a1s0	X
ejpam-3400	266	1	+	+	X
ejpam-3400	266	2	a2e0	a2e0	PUNCT
ejpam-3400	266	3	+	+	NOUN
ejpam-3400	266	4	a3i0	a3i0	SYM
ejpam-3400	266	5	+	+	CCONJ
ejpam-3400	266	6	a4r0	a4r0	PROPN
ejpam-3400	266	7	e(x1(0	e(x1(0	PROPN
ejpam-3400	266	8	)	)	PUNCT
ejpam-3400	266	9	)	)	PUNCT
ejpam-3400	266	10	=	=	SYM
ejpam-3400	266	11	s0	s0	PROPN
ejpam-3400	266	12	,	,	PUNCT
ejpam-3400	266	13	e(x2(0	e(x2(0	NOUN
ejpam-3400	266	14	)	)	PUNCT
ejpam-3400	266	15	)	)	PUNCT
ejpam-3400	267	1	=	=	SYM
ejpam-3400	267	2	e0	e0	PROPN
ejpam-3400	267	3	,	,	PUNCT
ejpam-3400	267	4	e(x3(0	e(x3(0	PROPN
ejpam-3400	267	5	)	)	PUNCT
ejpam-3400	267	6	)	)	PUNCT
ejpam-3400	268	1	=	=	SYM
ejpam-3400	268	2	i0	i0	PROPN
ejpam-3400	268	3	,	,	PUNCT
ejpam-3400	268	4	e(x4(0	e(x4(0	NOUN
ejpam-3400	268	5	)	)	PUNCT
ejpam-3400	268	6	)	)	PUNCT
ejpam-3400	269	1	=	=	SYM
ejpam-3400	269	2	r0	r0	NOUN
ejpam-3400	269	3	.	.	PUNCT
ejpam-3400	270	1	(	(	PUNCT
ejpam-3400	270	2	17	17	NUM
ejpam-3400	270	3	)	)	PUNCT
ejpam-3400	270	4	5	5	NUM
ejpam-3400	270	5	.	.	PUNCT
ejpam-3400	271	1	conclusions	conclusion	NOUN
ejpam-3400	271	2	in	in	ADP
ejpam-3400	271	3	this	this	DET
ejpam-3400	271	4	study	study	NOUN
ejpam-3400	271	5	,	,	PUNCT
ejpam-3400	271	6	we	we	PRON
ejpam-3400	271	7	have	have	AUX
ejpam-3400	271	8	proposed	propose	VERB
ejpam-3400	271	9	the	the	DET
ejpam-3400	271	10	stochastic	stochastic	ADJ
ejpam-3400	271	11	approach	approach	NOUN
ejpam-3400	271	12	of	of	ADP
ejpam-3400	271	13	the	the	DET
ejpam-3400	271	14	deterministic	deterministic	ADJ
ejpam-3400	271	15	seirs	seirs	NOUN
ejpam-3400	271	16	model	model	NOUN
ejpam-3400	271	17	with	with	ADP
ejpam-3400	271	18	a	a	DET
ejpam-3400	271	19	vital	vital	ADJ
ejpam-3400	271	20	dynamic	dynamic	ADJ
ejpam-3400	271	21	and	and	CCONJ
ejpam-3400	271	22	temporary	temporary	ADJ
ejpam-3400	271	23	immunity	immunity	NOUN
ejpam-3400	271	24	of	of	ADP
ejpam-3400	271	25	[	[	X
ejpam-3400	271	26	7	7	NUM
ejpam-3400	271	27	]	]	PUNCT
ejpam-3400	271	28	.	.	PUNCT
ejpam-3400	272	1	whose	whose	DET
ejpam-3400	272	2	balance	balance	NOUN
ejpam-3400	272	3	and	and	CCONJ
ejpam-3400	272	4	stability	stability	NOUN
ejpam-3400	272	5	have	have	AUX
ejpam-3400	272	6	been	be	AUX
ejpam-3400	272	7	studied	study	VERB
ejpam-3400	272	8	.	.	PUNCT
ejpam-3400	273	1	the	the	DET
ejpam-3400	273	2	stochastic	stochastic	ADJ
ejpam-3400	273	3	approach	approach	NOUN
ejpam-3400	273	4	can	can	AUX
ejpam-3400	273	5	be	be	AUX
ejpam-3400	273	6	used	use	VERB
ejpam-3400	273	7	to	to	PART
ejpam-3400	273	8	accurately	accurately	ADV
ejpam-3400	273	9	describe	describe	VERB
ejpam-3400	273	10	the	the	DET
ejpam-3400	273	11	spread	spread	NOUN
ejpam-3400	273	12	of	of	ADP
ejpam-3400	273	13	infectious	infectious	ADJ
ejpam-3400	273	14	diseases	disease	NOUN
ejpam-3400	273	15	in	in	ADP
ejpam-3400	273	16	a	a	DET
ejpam-3400	273	17	random	random	ADJ
ejpam-3400	273	18	environment	environment	NOUN
ejpam-3400	273	19	.	.	PUNCT
ejpam-3400	274	1	this	this	DET
ejpam-3400	274	2	seirs	seirs	PROPN
ejpam-3400	274	3	model	model	NOUN
ejpam-3400	274	4	generalizes	generalize	VERB
ejpam-3400	274	5	the	the	DET
ejpam-3400	274	6	si	si	NOUN
ejpam-3400	274	7	,	,	PUNCT
ejpam-3400	274	8	sir	sir	NOUN
ejpam-3400	274	9	and	and	CCONJ
ejpam-3400	274	10	seir	seir	ADJ
ejpam-3400	274	11	models	model	NOUN
ejpam-3400	274	12	and	and	CCONJ
ejpam-3400	274	13	is	be	AUX
ejpam-3400	274	14	therefore	therefore	ADV
ejpam-3400	274	15	a	a	DET
ejpam-3400	274	16	valuable	valuable	ADJ
ejpam-3400	274	17	tool	tool	NOUN
ejpam-3400	274	18	for	for	ADP
ejpam-3400	274	19	stochastic	stochastic	ADJ
ejpam-3400	274	20	modelling	modelling	NOUN
ejpam-3400	274	21	of	of	ADP
ejpam-3400	274	22	epidemiological	epidemiological	ADJ
ejpam-3400	274	23	problems	problem	NOUN
ejpam-3400	274	24	.	.	PUNCT
ejpam-3400	275	1	the	the	DET
ejpam-3400	275	2	resulting	result	VERB
ejpam-3400	275	3	systems	system	NOUN
ejpam-3400	275	4	of	of	ADP
ejpam-3400	275	5	equations	equation	NOUN
ejpam-3400	275	6	incorporate	incorporate	VERB
ejpam-3400	275	7	complexities	complexity	NOUN
ejpam-3400	275	8	and	and	CCONJ
ejpam-3400	275	9	assume	assume	VERB
ejpam-3400	275	10	that	that	SCONJ
ejpam-3400	275	11	randomness	randomness	NOUN
ejpam-3400	275	12	is	be	AUX
ejpam-3400	275	13	important	important	ADJ
ejpam-3400	275	14	and	and	CCONJ
ejpam-3400	275	15	explicitly	explicitly	ADV
ejpam-3400	275	16	include	include	VERB
ejpam-3400	275	17	it	it	PRON
ejpam-3400	275	18	in	in	ADP
ejpam-3400	275	19	the	the	DET
ejpam-3400	275	20	behaviour	behaviour	NOUN
ejpam-3400	275	21	of	of	ADP
ejpam-3400	275	22	the	the	DET
ejpam-3400	275	23	system	system	NOUN
ejpam-3400	275	24	compared	compare	VERB
ejpam-3400	275	25	to	to	ADP
ejpam-3400	275	26	the	the	DET
ejpam-3400	275	27	deterministic	deterministic	ADJ
ejpam-3400	275	28	model	model	NOUN
ejpam-3400	275	29	that	that	PRON
ejpam-3400	275	30	assumes	assume	VERB
ejpam-3400	275	31	that	that	SCONJ
ejpam-3400	275	32	randomness	randomness	NOUN
ejpam-3400	275	33	has	have	VERB
ejpam-3400	275	34	a	a	DET
ejpam-3400	275	35	negligible	negligible	ADJ
ejpam-3400	275	36	effect	effect	NOUN
ejpam-3400	275	37	and	and	CCONJ
ejpam-3400	275	38	considers	consider	VERB
ejpam-3400	275	39	only	only	ADV
ejpam-3400	275	40	the	the	DET
ejpam-3400	275	41	average	average	ADJ
ejpam-3400	275	42	behaviour	behaviour	NOUN
ejpam-3400	275	43	of	of	ADP
ejpam-3400	275	44	the	the	DET
ejpam-3400	275	45	system	system	NOUN
ejpam-3400	275	46	.	.	PUNCT
ejpam-3400	276	1	for	for	ADP
ejpam-3400	276	2	good	good	ADJ
ejpam-3400	276	3	monitoring	monitoring	NOUN
ejpam-3400	276	4	and	and	CCONJ
ejpam-3400	276	5	prevention	prevention	NOUN
ejpam-3400	276	6	of	of	ADP
ejpam-3400	276	7	transmission	transmission	NOUN
ejpam-3400	276	8	of	of	ADP
ejpam-3400	276	9	epidemics	epidemic	NOUN
ejpam-3400	276	10	,	,	PUNCT
ejpam-3400	276	11	the	the	DET
ejpam-3400	276	12	results	result	NOUN
ejpam-3400	276	13	obtained	obtain	VERB
ejpam-3400	276	14	provide	provide	VERB
ejpam-3400	276	15	more	more	ADJ
ejpam-3400	276	16	precision	precision	NOUN
ejpam-3400	276	17	on	on	ADP
ejpam-3400	276	18	the	the	DET
ejpam-3400	276	19	random	random	ADJ
ejpam-3400	276	20	references	reference	NOUN
ejpam-3400	276	21	845	845	NUM
ejpam-3400	276	22	evolution	evolution	NOUN
ejpam-3400	276	23	of	of	ADP
ejpam-3400	276	24	the	the	DET
ejpam-3400	276	25	disease	disease	NOUN
ejpam-3400	276	26	over	over	ADP
ejpam-3400	276	27	time	time	NOUN
ejpam-3400	276	28	.	.	PUNCT
ejpam-3400	277	1	the	the	DET
ejpam-3400	277	2	main	main	ADJ
ejpam-3400	277	3	disadvantage	disadvantage	NOUN
ejpam-3400	277	4	of	of	ADP
ejpam-3400	277	5	this	this	DET
ejpam-3400	277	6	approach	approach	NOUN
ejpam-3400	277	7	is	be	AUX
ejpam-3400	277	8	that	that	SCONJ
ejpam-3400	277	9	in	in	ADP
ejpam-3400	277	10	practice	practice	NOUN
ejpam-3400	277	11	,	,	PUNCT
ejpam-3400	277	12	it	it	PRON
ejpam-3400	277	13	is	be	AUX
ejpam-3400	277	14	often	often	ADV
ejpam-3400	277	15	difficult	difficult	ADJ
ejpam-3400	277	16	to	to	PART
ejpam-3400	277	17	have	have	VERB
ejpam-3400	277	18	data	datum	NOUN
ejpam-3400	277	19	adapted	adapt	VERB
ejpam-3400	277	20	to	to	ADP
ejpam-3400	277	21	the	the	DET
ejpam-3400	277	22	model	model	NOUN
ejpam-3400	277	23	to	to	PART
ejpam-3400	277	24	be	be	AUX
ejpam-3400	277	25	implemented	implement	VERB
ejpam-3400	277	26	.	.	PUNCT
ejpam-3400	278	1	it	it	PRON
ejpam-3400	278	2	is	be	AUX
ejpam-3400	278	3	also	also	ADV
ejpam-3400	278	4	clear	clear	ADJ
ejpam-3400	278	5	that	that	SCONJ
ejpam-3400	278	6	most	most	ADJ
ejpam-3400	278	7	of	of	ADP
ejpam-3400	278	8	the	the	DET
ejpam-3400	278	9	results	result	NOUN
ejpam-3400	278	10	remain	remain	VERB
ejpam-3400	278	11	valid	valid	ADJ
ejpam-3400	278	12	not	not	PART
ejpam-3400	278	13	only	only	ADV
ejpam-3400	278	14	for	for	ADP
ejpam-3400	278	15	a	a	DET
ejpam-3400	278	16	finite	finite	ADJ
ejpam-3400	278	17	number	number	NOUN
ejpam-3400	278	18	of	of	ADP
ejpam-3400	278	19	markovian	markovian	ADJ
ejpam-3400	278	20	environments	environment	NOUN
ejpam-3400	278	21	,	,	PUNCT
ejpam-3400	278	22	but	but	CCONJ
ejpam-3400	278	23	also	also	ADV
ejpam-3400	278	24	for	for	ADP
ejpam-3400	278	25	more	more	ADV
ejpam-3400	278	26	general	general	ADJ
ejpam-3400	278	27	ergodic	ergodic	ADJ
ejpam-3400	278	28	environments	environment	NOUN
ejpam-3400	278	29	.	.	PUNCT
ejpam-3400	279	1	references	reference	NOUN
ejpam-3400	279	2	[	[	X
ejpam-3400	279	3	1	1	X
ejpam-3400	279	4	]	]	PUNCT
ejpam-3400	279	5	j.	j.	PROPN
ejpam-3400	279	6	gani	gani	PROPN
ejpam-3400	279	7	d.	d.	PROPN
ejpam-3400	279	8	j.	j.	PROPN
ejpam-3400	279	9	daley	daley	PROPN
ejpam-3400	279	10	.	.	PUNCT
ejpam-3400	280	1	epidemic	epidemic	NOUN
ejpam-3400	280	2	modelling	modelling	NOUN
ejpam-3400	280	3	.	.	PUNCT
ejpam-3400	281	1	in	in	ADP
ejpam-3400	281	2	cambridge	cambridge	PROPN
ejpam-3400	281	3	university	university	PROPN
ejpam-3400	281	4	press	press	PROPN
ejpam-3400	281	5	,	,	PUNCT
ejpam-3400	281	6	editor	editor	NOUN
ejpam-3400	281	7	,	,	PUNCT
ejpam-3400	281	8	an	an	DET
ejpam-3400	281	9	introduction	introduction	NOUN
ejpam-3400	281	10	,	,	PUNCT
ejpam-3400	281	11	page	page	NOUN
ejpam-3400	281	12	14	14	NUM
ejpam-3400	281	13	,	,	PUNCT
ejpam-3400	281	14	2001	2001	NUM
ejpam-3400	281	15	.	.	PUNCT
ejpam-3400	282	1	[	[	X
ejpam-3400	282	2	2	2	NUM
ejpam-3400	282	3	]	]	PUNCT
ejpam-3400	282	4	bibliothque	bibliothque	ADJ
ejpam-3400	282	5	de	de	X
ejpam-3400	282	6	l’oms	l’om	NOUN
ejpam-3400	282	7	.	.	PUNCT
ejpam-3400	283	1	modlisation	modlisation	NOUN
ejpam-3400	283	2	mathmatique	mathmatique	PROPN
ejpam-3400	283	3	pour	pour	X
ejpam-3400	283	4	le	le	X
ejpam-3400	283	5	contrle	contrle	PROPN
ejpam-3400	283	6	et	et	PROPN
ejpam-3400	283	7	llimination	llimination	PROPN
ejpam-3400	283	8	du	du	PROPN
ejpam-3400	283	9	paludisme	paludisme	PROPN
ejpam-3400	283	10	.	.	PUNCT
ejpam-3400	284	1	novembre	novembre	PROPN
ejpam-3400	284	2	2010	2010	NUM
ejpam-3400	284	3	.	.	PUNCT
ejpam-3400	285	1	[	[	X
ejpam-3400	285	2	3	3	X
ejpam-3400	285	3	]	]	PUNCT
ejpam-3400	285	4	j.	j.	PROPN
ejpam-3400	285	5	wu	wu	PROPN
ejpam-3400	285	6	fred	fred	PROPN
ejpam-3400	285	7	brauer	brauer	PROPN
ejpam-3400	285	8	,	,	PUNCT
ejpam-3400	285	9	pauline	pauline	PROPN
ejpam-3400	285	10	van	van	PROPN
ejpam-3400	285	11	den	den	PROPN
ejpam-3400	285	12	driessche	driessche	PROPN
ejpam-3400	285	13	.	.	PUNCT
ejpam-3400	286	1	lecteure	lecteure	PROPN
ejpam-3400	286	2	note	note	NOUN
ejpam-3400	286	3	in	in	ADP
ejpam-3400	286	4	mathematics	mathematic	NOUN
ejpam-3400	286	5	.	.	PUNCT
ejpam-3400	287	1	in	in	ADP
ejpam-3400	287	2	oxford	oxford	PROPN
ejpam-3400	287	3	mathematical	mathematical	ADJ
ejpam-3400	287	4	biosciences	bioscience	NOUN
ejpam-3400	287	5	subseries	subserie	NOUN
ejpam-3400	287	6	:	:	PUNCT
ejpam-3400	287	7	p.k	p.k	PROPN
ejpam-3400	287	8	.	.	PROPN
ejpam-3400	287	9	maini	maini	PROPN
ejpam-3400	287	10	,	,	PUNCT
ejpam-3400	287	11	editor	editor	NOUN
ejpam-3400	287	12	,	,	PUNCT
ejpam-3400	287	13	mathematical	mathematical	ADJ
ejpam-3400	287	14	epidemiology	epidemiology	NOUN
ejpam-3400	287	15	,	,	PUNCT
ejpam-3400	287	16	1945	1945	NUM
ejpam-3400	287	17	.	.	PUNCT
ejpam-3400	288	1	[	[	X
ejpam-3400	288	2	4	4	X
ejpam-3400	288	3	]	]	PUNCT
ejpam-3400	288	4	forrest	forr	ADJ
ejpam-3400	288	5	.w	.w	PROPN
ejpam-3400	288	6	.	.	PUNCT
ejpam-3400	289	1	crawford	crawford	PROPN
ejpam-3400	289	2	vladimir	vladimir	PROPN
ejpam-3400	289	3	n.	n.	PROPN
ejpam-3400	289	4	minin	minin	PROPN
ejpam-3400	289	5	marc	marc	PROPN
ejpam-3400	289	6	a.	a.	PROPN
ejpam-3400	289	7	suchard	suchard	PROPN
ejpam-3400	289	8	lam	lam	PROPN
ejpam-3400	289	9	si	si	PROPN
ejpam-3400	289	10	tung	tung	PROPN
ejpam-3400	289	11	ho	ho	PROPN
ejpam-3400	289	12	,	,	PUNCT
ejpam-3400	289	13	jasen	jasen	PROPN
ejpam-3400	289	14	ho	ho	PROPN
ejpam-3400	289	15	.	.	PROPN
ejpam-3400	289	16	birth	birth	NOUN
ejpam-3400	289	17	/	/	SYM
ejpam-3400	289	18	birth	birth	NOUN
ejpam-3400	289	19	-	-	PUNCT
ejpam-3400	289	20	death	death	NOUN
ejpam-3400	289	21	processes	process	NOUN
ejpam-3400	289	22	and	and	CCONJ
ejpam-3400	289	23	their	their	PRON
ejpam-3400	289	24	cumputable	cumputable	ADJ
ejpam-3400	289	25	transition	transition	NOUN
ejpam-3400	289	26	probabilities	probability	NOUN
ejpam-3400	289	27	with	with	ADP
ejpam-3400	289	28	biological	biological	ADJ
ejpam-3400	289	29	applications	application	NOUN
ejpam-3400	289	30	.	.	PUNCT
ejpam-3400	290	1	cornell	cornell	PROPN
ejpam-3400	290	2	university	university	PROPN
ejpam-3400	290	3	library	library	NOUN
ejpam-3400	290	4	,	,	PUNCT
ejpam-3400	290	5	7	7	NUM
ejpam-3400	290	6	aug	aug	PROPN
ejpam-3400	290	7	2017	2017	NUM
ejpam-3400	290	8	.	.	PUNCT
ejpam-3400	291	1	[	[	X
ejpam-3400	291	2	5	5	NUM
ejpam-3400	291	3	]	]	X
ejpam-3400	291	4	abdelkarim	abdelkarim	NOUN
ejpam-3400	291	5	ed	ed	PROPN
ejpam-3400	291	6	-	-	PUNCT
ejpam-3400	291	7	darraz	darraz	PROPN
ejpam-3400	291	8	nicolas	nicolas	PROPN
ejpam-3400	291	9	bacaer	bacaer	PROPN
ejpam-3400	291	10	.	.	PUNCT
ejpam-3400	292	1	un	un	PROPN
ejpam-3400	292	2	environnement	environnement	PROPN
ejpam-3400	292	3	alatoire	alatoire	PROPN
ejpam-3400	292	4	.	.	PUNCT
ejpam-3400	293	1	journal	journal	PROPN
ejpam-3400	293	2	of	of	ADP
ejpam-3400	293	3	mathematical	mathematical	ADJ
ejpam-3400	293	4	biology	biology	NOUN
ejpam-3400	293	5	,	,	PUNCT
ejpam-3400	293	6	springer	springer	NOUN
ejpam-3400	293	7	verlag	verlag	PROPN
ejpam-3400	293	8	(	(	PUNCT
ejpam-3400	293	9	germany	germany	PROPN
ejpam-3400	293	10	)	)	PUNCT
ejpam-3400	293	11	,	,	PUNCT
ejpam-3400	293	12	2014	2014	NUM
ejpam-3400	293	13	.	.	PUNCT
ejpam-3400	294	1	[	[	X
ejpam-3400	294	2	6	6	NUM
ejpam-3400	294	3	]	]	PUNCT
ejpam-3400	294	4	christelle	christelle	NOUN
ejpam-3400	294	5	verg	verg	PROPN
ejpam-3400	294	6	pierre	pierre	PROPN
ejpam-3400	294	7	del	del	PROPN
ejpam-3400	294	8	moral	moral	ADJ
ejpam-3400	294	9	.	.	PUNCT
ejpam-3400	295	1	modeles	modele	NOUN
ejpam-3400	295	2	et	et	PROPN
ejpam-3400	295	3	methodes	methodes	PROPN
ejpam-3400	295	4	stochastiques	stochastique	NOUN
ejpam-3400	295	5	.	.	PUNCT
ejpam-3400	296	1	in	in	ADP
ejpam-3400	296	2	springer	springer	NOUN
ejpam-3400	296	3	,	,	PUNCT
ejpam-3400	296	4	editor	editor	NOUN
ejpam-3400	296	5	,	,	PUNCT
ejpam-3400	296	6	une	une	PROPN
ejpam-3400	296	7	introduction	introduction	NOUN
ejpam-3400	296	8	avec	avec	PROPN
ejpam-3400	296	9	applications	application	NOUN
ejpam-3400	296	10	.	.	PUNCT
ejpam-3400	297	1	comit	comit	VERB
ejpam-3400	297	2	de	de	ADP
ejpam-3400	297	3	lecture	lecture	NOUN
ejpam-3400	297	4	20122015	20122015	NUM
ejpam-3400	297	5	/	/	SYM
ejpam-3400	297	6	editorial	editorial	NOUN
ejpam-3400	297	7	board	board	NOUN
ejpam-3400	297	8	20122015	20122015	NUM
ejpam-3400	297	9	,	,	PUNCT
ejpam-3400	297	10	2014	2014	NUM
ejpam-3400	297	11	.	.	PUNCT
ejpam-3400	298	1	[	[	X
ejpam-3400	298	2	7	7	X
ejpam-3400	298	3	]	]	X
ejpam-3400	298	4	marek	marek	PROPN
ejpam-3400	298	5	b.	b.	PROPN
ejpam-3400	298	6	trawicki	trawicki	PROPN
ejpam-3400	298	7	.	.	PUNCT
ejpam-3400	299	1	cdeterministic	cdeterministic	ADJ
ejpam-3400	299	2	seirs	seirs	PROPN
ejpam-3400	299	3	epidemic	epidemic	NOUN
ejpam-3400	299	4	model	model	NOUN
ejpam-3400	299	5	for	for	ADP
ejpam-3400	299	6	modeling	model	VERB
ejpam-3400	299	7	vital	vital	ADJ
ejpam-3400	299	8	dynamics	dynamic	NOUN
ejpam-3400	299	9	,	,	PUNCT
ejpam-3400	299	10	vaccinations	vaccination	NOUN
ejpam-3400	299	11	,	,	PUNCT
ejpam-3400	299	12	and	and	CCONJ
ejpam-3400	299	13	temporary	temporary	ADJ
ejpam-3400	299	14	immunity	immunity	NOUN
ejpam-3400	299	15	.	.	PUNCT
ejpam-3400	300	1	molecular	molecular	ADJ
ejpam-3400	300	2	diversity	diversity	NOUN
ejpam-3400	300	3	preservation	preservation	NOUN
ejpam-3400	300	4	international	international	NOUN
ejpam-3400	300	5	,	,	PUNCT
ejpam-3400	300	6	january	january	PROPN
ejpam-3400	300	7	2017	2017	NUM
ejpam-3400	300	8	.	.	PUNCT