id	sid	tid	token	lemma	pos
ejpam-3532	1	1	european	european	PROPN
ejpam-3532	1	2	journal	journal	PROPN
ejpam-3532	1	3	of	of	ADP
ejpam-3532	1	4	pure	pure	ADJ
ejpam-3532	1	5	and	and	CCONJ
ejpam-3532	1	6	applied	apply	VERB
ejpam-3532	1	7	mathematics	mathematic	NOUN
ejpam-3532	1	8	vol	vol	NOUN
ejpam-3532	1	9	.	.	PROPN
ejpam-3532	2	1	12	12	NUM
ejpam-3532	2	2	,	,	PUNCT
ejpam-3532	2	3	no	no	INTJ
ejpam-3532	2	4	.	.	NOUN
ejpam-3532	2	5	4	4	NUM
ejpam-3532	2	6	,	,	PUNCT
ejpam-3532	2	7	2019	2019	NUM
ejpam-3532	2	8	,	,	PUNCT
ejpam-3532	2	9	1533	1533	NUM
ejpam-3532	2	10	-	-	SYM
ejpam-3532	2	11	1552	1552	NUM
ejpam-3532	2	12	issn	issn	PROPN
ejpam-3532	2	13	1307	1307	NUM
ejpam-3532	2	14	-	-	SYM
ejpam-3532	2	15	5543	5543	NUM
ejpam-3532	2	16	–	–	PUNCT
ejpam-3532	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3532	2	18	published	publish	VERB
ejpam-3532	2	19	by	by	ADP
ejpam-3532	2	20	new	new	PROPN
ejpam-3532	2	21	york	york	PROPN
ejpam-3532	2	22	business	business	PROPN
ejpam-3532	2	23	global	global	PROPN
ejpam-3532	2	24	mathematical	mathematical	ADJ
ejpam-3532	2	25	analysis	analysis	NOUN
ejpam-3532	2	26	of	of	ADP
ejpam-3532	2	27	an	an	DET
ejpam-3532	2	28	immune	immune	NOUN
ejpam-3532	2	29	-	-	PUNCT
ejpam-3532	2	30	structured	structure	VERB
ejpam-3532	2	31	chikungunya	chikungunya	NOUN
ejpam-3532	2	32	transmission	transmission	NOUN
ejpam-3532	2	33	model	model	NOUN
ejpam-3532	2	34	famane	famane	PROPN
ejpam-3532	2	35	kambiré1,∗	kambiré1,∗	PROPN
ejpam-3532	2	36	,	,	PUNCT
ejpam-3532	2	37	elisée	elisée	PROPN
ejpam-3532	2	38	gouba1	gouba1	PROPN
ejpam-3532	2	39	,	,	PUNCT
ejpam-3532	2	40	sadou	sadou	NOUN
ejpam-3532	2	41	tao1	tao1	PROPN
ejpam-3532	2	42	,	,	PUNCT
ejpam-3532	2	43	blaise	blaise	PROPN
ejpam-3532	2	44	somé1	somé1	VERB
ejpam-3532	2	45	1	1	NUM
ejpam-3532	2	46	laboratoire	laboratoire	PROPN
ejpam-3532	2	47	d’analyse	d’analyse	PROPN
ejpam-3532	2	48	numérique	numérique	PRON
ejpam-3532	2	49	d’informatique	d’informatique	NOUN
ejpam-3532	2	50	et	et	NOUN
ejpam-3532	2	51	de	de	X
ejpam-3532	2	52	biomathématiques	biomathématiques	PROPN
ejpam-3532	2	53	,	,	PUNCT
ejpam-3532	2	54	département	département	PROPN
ejpam-3532	2	55	de	de	X
ejpam-3532	2	56	mathématiques	mathématiques	PROPN
ejpam-3532	2	57	,	,	PUNCT
ejpam-3532	2	58	université	université	NOUN
ejpam-3532	2	59	joseph	joseph	PROPN
ejpam-3532	2	60	ki	ki	PROPN
ejpam-3532	2	61	zerbo	zerbo	PROPN
ejpam-3532	2	62	,	,	PUNCT
ejpam-3532	2	63	burkina	burkina	PROPN
ejpam-3532	2	64	faso	faso	PROPN
ejpam-3532	2	65	abstract	abstract	NOUN
ejpam-3532	2	66	.	.	PUNCT
ejpam-3532	3	1	in	in	ADP
ejpam-3532	3	2	this	this	DET
ejpam-3532	3	3	paper	paper	NOUN
ejpam-3532	3	4	,	,	PUNCT
ejpam-3532	3	5	we	we	PRON
ejpam-3532	3	6	have	have	AUX
ejpam-3532	3	7	formulated	formulate	VERB
ejpam-3532	3	8	a	a	DET
ejpam-3532	3	9	new	new	ADJ
ejpam-3532	3	10	deterministic	deterministic	ADJ
ejpam-3532	3	11	model	model	NOUN
ejpam-3532	3	12	to	to	PART
ejpam-3532	3	13	describe	describe	VERB
ejpam-3532	3	14	the	the	DET
ejpam-3532	3	15	dynamics	dynamic	NOUN
ejpam-3532	3	16	of	of	ADP
ejpam-3532	3	17	the	the	DET
ejpam-3532	3	18	spread	spread	NOUN
ejpam-3532	3	19	of	of	ADP
ejpam-3532	3	20	chikunguya	chikunguya	NOUN
ejpam-3532	3	21	between	between	ADP
ejpam-3532	3	22	humans	human	NOUN
ejpam-3532	3	23	and	and	CCONJ
ejpam-3532	3	24	mosquitoes	mosquito	NOUN
ejpam-3532	3	25	populations	population	NOUN
ejpam-3532	3	26	.	.	PUNCT
ejpam-3532	4	1	this	this	DET
ejpam-3532	4	2	model	model	NOUN
ejpam-3532	4	3	takes	take	VERB
ejpam-3532	4	4	into	into	ADP
ejpam-3532	4	5	account	account	NOUN
ejpam-3532	4	6	the	the	DET
ejpam-3532	4	7	variation	variation	NOUN
ejpam-3532	4	8	in	in	ADP
ejpam-3532	4	9	mortality	mortality	NOUN
ejpam-3532	4	10	of	of	ADP
ejpam-3532	4	11	humans	human	NOUN
ejpam-3532	4	12	and	and	CCONJ
ejpam-3532	4	13	mosquitoes	mosquito	NOUN
ejpam-3532	4	14	due	due	ADJ
ejpam-3532	4	15	to	to	ADP
ejpam-3532	4	16	other	other	ADJ
ejpam-3532	4	17	causes	cause	NOUN
ejpam-3532	4	18	than	than	ADP
ejpam-3532	4	19	chikungunya	chikungunya	NOUN
ejpam-3532	4	20	disease	disease	NOUN
ejpam-3532	4	21	,	,	PUNCT
ejpam-3532	4	22	the	the	DET
ejpam-3532	4	23	decay	decay	NOUN
ejpam-3532	4	24	of	of	ADP
ejpam-3532	4	25	acquired	acquire	VERB
ejpam-3532	4	26	immunity	immunity	NOUN
ejpam-3532	4	27	and	and	CCONJ
ejpam-3532	4	28	the	the	DET
ejpam-3532	4	29	immune	immune	ADJ
ejpam-3532	4	30	sytem	sytem	NOUN
ejpam-3532	4	31	boosting	boost	VERB
ejpam-3532	4	32	.	.	PUNCT
ejpam-3532	5	1	from	from	ADP
ejpam-3532	5	2	the	the	DET
ejpam-3532	5	3	analysis	analysis	NOUN
ejpam-3532	5	4	,	,	PUNCT
ejpam-3532	5	5	it	it	PRON
ejpam-3532	5	6	appears	appear	VERB
ejpam-3532	5	7	that	that	SCONJ
ejpam-3532	5	8	the	the	DET
ejpam-3532	5	9	model	model	NOUN
ejpam-3532	5	10	is	be	AUX
ejpam-3532	5	11	well	well	ADV
ejpam-3532	5	12	posed	pose	VERB
ejpam-3532	5	13	from	from	ADP
ejpam-3532	5	14	the	the	DET
ejpam-3532	5	15	mathematical	mathematical	ADJ
ejpam-3532	5	16	and	and	CCONJ
ejpam-3532	5	17	epidemiological	epidemiological	ADJ
ejpam-3532	5	18	standpoint	standpoint	NOUN
ejpam-3532	5	19	.	.	PUNCT
ejpam-3532	6	1	the	the	DET
ejpam-3532	6	2	existence	existence	NOUN
ejpam-3532	6	3	of	of	ADP
ejpam-3532	6	4	a	a	DET
ejpam-3532	6	5	single	single	ADJ
ejpam-3532	6	6	disease	disease	NOUN
ejpam-3532	6	7	free	free	ADJ
ejpam-3532	6	8	equilibrium	equilibrium	NOUN
ejpam-3532	6	9	has	have	AUX
ejpam-3532	6	10	been	be	AUX
ejpam-3532	6	11	proved	prove	VERB
ejpam-3532	6	12	.	.	PUNCT
ejpam-3532	7	1	an	an	DET
ejpam-3532	7	2	explicit	explicit	ADJ
ejpam-3532	7	3	formula	formula	NOUN
ejpam-3532	7	4	,	,	PUNCT
ejpam-3532	7	5	depending	depend	VERB
ejpam-3532	7	6	on	on	ADP
ejpam-3532	7	7	the	the	DET
ejpam-3532	7	8	parameters	parameter	NOUN
ejpam-3532	7	9	of	of	ADP
ejpam-3532	7	10	the	the	DET
ejpam-3532	7	11	model	model	NOUN
ejpam-3532	7	12	,	,	PUNCT
ejpam-3532	7	13	has	have	AUX
ejpam-3532	7	14	been	be	AUX
ejpam-3532	7	15	obtained	obtain	VERB
ejpam-3532	7	16	for	for	ADP
ejpam-3532	7	17	the	the	DET
ejpam-3532	7	18	basic	basic	ADJ
ejpam-3532	7	19	reproduction	reproduction	NOUN
ejpam-3532	7	20	numberr0	numberr0	NOUN
ejpam-3532	7	21	which	which	PRON
ejpam-3532	7	22	is	be	AUX
ejpam-3532	7	23	used	use	VERB
ejpam-3532	7	24	in	in	ADP
ejpam-3532	7	25	epidemiology	epidemiology	NOUN
ejpam-3532	7	26	.	.	PUNCT
ejpam-3532	8	1	the	the	DET
ejpam-3532	8	2	local	local	ADJ
ejpam-3532	8	3	asymptotic	asymptotic	ADJ
ejpam-3532	8	4	stability	stability	NOUN
ejpam-3532	8	5	of	of	ADP
ejpam-3532	8	6	the	the	DET
ejpam-3532	8	7	disease	disease	NOUN
ejpam-3532	8	8	free	free	ADJ
ejpam-3532	8	9	equilibrium	equilibrium	NOUN
ejpam-3532	8	10	has	have	AUX
ejpam-3532	8	11	been	be	AUX
ejpam-3532	8	12	proved	prove	VERB
ejpam-3532	8	13	.	.	PUNCT
ejpam-3532	9	1	the	the	DET
ejpam-3532	9	2	numerical	numerical	PROPN
ejpam-3532	9	3	simulation	simulation	NOUN
ejpam-3532	9	4	of	of	ADP
ejpam-3532	9	5	the	the	DET
ejpam-3532	9	6	model	model	NOUN
ejpam-3532	9	7	has	have	AUX
ejpam-3532	9	8	confirmed	confirm	VERB
ejpam-3532	9	9	the	the	DET
ejpam-3532	9	10	local	local	ADJ
ejpam-3532	9	11	asymptotic	asymptotic	ADJ
ejpam-3532	9	12	stability	stability	NOUN
ejpam-3532	9	13	of	of	ADP
ejpam-3532	9	14	the	the	DET
ejpam-3532	9	15	disease	disease	NOUN
ejpam-3532	9	16	free	free	ADJ
ejpam-3532	9	17	equilbrium	equilbrium	NOUN
ejpam-3532	9	18	and	and	CCONJ
ejpam-3532	9	19	the	the	DET
ejpam-3532	9	20	existence	existence	NOUN
ejpam-3532	9	21	of	of	ADP
ejpam-3532	9	22	endmic	endmic	ADJ
ejpam-3532	9	23	equilibrium	equilibrium	NOUN
ejpam-3532	9	24	.	.	PUNCT
ejpam-3532	10	1	the	the	DET
ejpam-3532	10	2	varying	vary	VERB
ejpam-3532	10	3	effects	effect	NOUN
ejpam-3532	10	4	of	of	ADP
ejpam-3532	10	5	the	the	DET
ejpam-3532	10	6	immunity	immunity	NOUN
ejpam-3532	10	7	parameters	parameter	NOUN
ejpam-3532	10	8	has	have	AUX
ejpam-3532	10	9	been	be	AUX
ejpam-3532	10	10	analyzed	analyze	VERB
ejpam-3532	10	11	numerically	numerically	ADV
ejpam-3532	10	12	in	in	ADP
ejpam-3532	10	13	order	order	NOUN
ejpam-3532	10	14	to	to	PART
ejpam-3532	10	15	provide	provide	VERB
ejpam-3532	10	16	better	well	ADJ
ejpam-3532	10	17	conditions	condition	NOUN
ejpam-3532	10	18	for	for	ADP
ejpam-3532	10	19	reducing	reduce	VERB
ejpam-3532	10	20	the	the	DET
ejpam-3532	10	21	transmission	transmission	NOUN
ejpam-3532	10	22	of	of	ADP
ejpam-3532	10	23	the	the	DET
ejpam-3532	10	24	disease	disease	NOUN
ejpam-3532	10	25	.	.	PUNCT
ejpam-3532	11	1	2010	2010	NUM
ejpam-3532	11	2	mathematics	mathematic	NOUN
ejpam-3532	11	3	subject	subject	NOUN
ejpam-3532	11	4	classifications	classification	NOUN
ejpam-3532	11	5	:	:	PUNCT
ejpam-3532	11	6	81t80	81t80	NUM
ejpam-3532	11	7	,	,	PUNCT
ejpam-3532	11	8	92b05	92b05	NUM
ejpam-3532	11	9	,	,	PUNCT
ejpam-3532	11	10	92d30	92d30	NUM
ejpam-3532	11	11	,	,	PUNCT
ejpam-3532	11	12	93d20	93d20	NUM
ejpam-3532	11	13	key	key	ADJ
ejpam-3532	11	14	words	word	NOUN
ejpam-3532	11	15	and	and	CCONJ
ejpam-3532	11	16	phrases	phrase	NOUN
ejpam-3532	11	17	:	:	PUNCT
ejpam-3532	11	18	chikungunya	chikungunya	ADJ
ejpam-3532	11	19	,	,	PUNCT
ejpam-3532	11	20	differential	differential	ADJ
ejpam-3532	11	21	equations	equation	NOUN
ejpam-3532	11	22	,	,	PUNCT
ejpam-3532	11	23	asymptotic	asymptotic	ADJ
ejpam-3532	11	24	stability	stability	NOUN
ejpam-3532	11	25	,	,	PUNCT
ejpam-3532	11	26	basic	basic	ADJ
ejpam-3532	11	27	reproduction	reproduction	NOUN
ejpam-3532	11	28	number	number	NOUN
ejpam-3532	11	29	,	,	PUNCT
ejpam-3532	11	30	modeling	modeling	NOUN
ejpam-3532	11	31	and	and	CCONJ
ejpam-3532	11	32	numerical	numerical	PROPN
ejpam-3532	11	33	simulation	simulation	NOUN
ejpam-3532	11	34	.	.	PUNCT
ejpam-3532	12	1	1	1	X
ejpam-3532	12	2	.	.	X
ejpam-3532	12	3	introduction	introduction	NOUN
ejpam-3532	12	4	chikungunya	chikungunya	NOUN
ejpam-3532	12	5	is	be	AUX
ejpam-3532	12	6	an	an	DET
ejpam-3532	12	7	infectious	infectious	ADJ
ejpam-3532	12	8	disease	disease	NOUN
ejpam-3532	12	9	caused	cause	VERB
ejpam-3532	12	10	by	by	ADP
ejpam-3532	12	11	a	a	DET
ejpam-3532	12	12	virus	virus	NOUN
ejpam-3532	12	13	transmited	transmit	VERB
ejpam-3532	12	14	by	by	ADP
ejpam-3532	12	15	the	the	DET
ejpam-3532	12	16	bite	bite	NOUN
ejpam-3532	12	17	of	of	ADP
ejpam-3532	12	18	female	female	ADJ
ejpam-3532	12	19	mosquitoes	mosquito	NOUN
ejpam-3532	12	20	belonging	belong	VERB
ejpam-3532	12	21	to	to	ADP
ejpam-3532	12	22	the	the	DET
ejpam-3532	12	23	genus	genus	NOUN
ejpam-3532	12	24	aedes	aedes	PROPN
ejpam-3532	12	25	:	:	PUNCT
ejpam-3532	12	26	aedes	aedes	PROPN
ejpam-3532	12	27	aegypti	aegypti	VERB
ejpam-3532	12	28	and	and	CCONJ
ejpam-3532	12	29	aedes	aedes	PROPN
ejpam-3532	12	30	albopictus	albopictus	PROPN
ejpam-3532	12	31	.	.	PUNCT
ejpam-3532	13	1	the	the	DET
ejpam-3532	13	2	chikungunya	chikungunya	NOUN
ejpam-3532	13	3	virus	virus	NOUN
ejpam-3532	13	4	is	be	AUX
ejpam-3532	13	5	present	present	ADJ
ejpam-3532	13	6	in	in	ADP
ejpam-3532	13	7	sub	sub	ADJ
ejpam-3532	13	8	-	-	ADJ
ejpam-3532	13	9	saharan	saharan	ADJ
ejpam-3532	13	10	africa	africa	PROPN
ejpam-3532	13	11	and	and	CCONJ
ejpam-3532	13	12	in	in	ADP
ejpam-3532	13	13	south	south	ADJ
ejpam-3532	13	14	-	-	PUNCT
ejpam-3532	13	15	east	east	NOUN
ejpam-3532	13	16	asia	asia	PROPN
ejpam-3532	13	17	since	since	SCONJ
ejpam-3532	13	18	1952	1952	NUM
ejpam-3532	13	19	[	[	X
ejpam-3532	13	20	3	3	NUM
ejpam-3532	13	21	]	]	PUNCT
ejpam-3532	13	22	.	.	PUNCT
ejpam-3532	14	1	it	it	PRON
ejpam-3532	14	2	had	have	AUX
ejpam-3532	14	3	been	be	AUX
ejpam-3532	14	4	isolated	isolate	VERB
ejpam-3532	14	5	for	for	ADP
ejpam-3532	14	6	the	the	DET
ejpam-3532	14	7	first	first	ADJ
ejpam-3532	14	8	time	time	NOUN
ejpam-3532	14	9	in	in	ADP
ejpam-3532	14	10	tanzania	tanzania	PROPN
ejpam-3532	14	11	and	and	CCONJ
ejpam-3532	14	12	then	then	ADV
ejpam-3532	14	13	spread	spread	VERB
ejpam-3532	14	14	to	to	ADP
ejpam-3532	14	15	the	the	DET
ejpam-3532	14	16	rest	rest	NOUN
ejpam-3532	14	17	of	of	ADP
ejpam-3532	14	18	the	the	DET
ejpam-3532	14	19	world	world	NOUN
ejpam-3532	14	20	.	.	PUNCT
ejpam-3532	15	1	it	it	PRON
ejpam-3532	15	2	is	be	AUX
ejpam-3532	15	3	estimated	estimate	VERB
ejpam-3532	15	4	that	that	SCONJ
ejpam-3532	15	5	chikungunya	chikungunya	NOUN
ejpam-3532	15	6	is	be	AUX
ejpam-3532	15	7	an	an	DET
ejpam-3532	15	8	emerging	emerge	VERB
ejpam-3532	15	9	desease	desease	NOUN
ejpam-3532	15	10	in	in	ADP
ejpam-3532	15	11	asia	asia	PROPN
ejpam-3532	15	12	.	.	PUNCT
ejpam-3532	16	1	many	many	ADJ
ejpam-3532	16	2	vaccine	vaccine	NOUN
ejpam-3532	16	3	trials	trial	NOUN
ejpam-3532	16	4	have	have	AUX
ejpam-3532	16	5	been	be	AUX
ejpam-3532	16	6	conducted	conduct	VERB
ejpam-3532	16	7	since	since	SCONJ
ejpam-3532	16	8	the	the	DET
ejpam-3532	16	9	1970s	1970	NOUN
ejpam-3532	16	10	but	but	CCONJ
ejpam-3532	16	11	have	have	AUX
ejpam-3532	16	12	proved	prove	VERB
ejpam-3532	16	13	ineffective	ineffective	ADJ
ejpam-3532	16	14	[	[	X
ejpam-3532	16	15	3	3	NUM
ejpam-3532	16	16	]	]	PUNCT
ejpam-3532	16	17	.	.	PUNCT
ejpam-3532	17	1	thus	thus	ADV
ejpam-3532	17	2	chikungunya	chikungunya	NOUN
ejpam-3532	17	3	disease	disease	NOUN
ejpam-3532	17	4	is	be	AUX
ejpam-3532	17	5	a	a	DET
ejpam-3532	17	6	major	major	ADJ
ejpam-3532	17	7	public	public	ADJ
ejpam-3532	17	8	health	health	NOUN
ejpam-3532	17	9	problem	problem	NOUN
ejpam-3532	17	10	.	.	PUNCT
ejpam-3532	18	1	in	in	ADP
ejpam-3532	18	2	january	january	PROPN
ejpam-3532	18	3	2013	2013	NUM
ejpam-3532	18	4	,	,	PUNCT
ejpam-3532	18	5	the	the	DET
ejpam-3532	18	6	mortality	mortality	NOUN
ejpam-3532	18	7	caused	cause	VERB
ejpam-3532	18	8	by	by	ADP
ejpam-3532	18	9	chikungunya	chikungunya	NOUN
ejpam-3532	18	10	was	be	AUX
ejpam-3532	18	11	estimated	estimate	VERB
ejpam-3532	18	12	at	at	ADP
ejpam-3532	18	13	1	1	NUM
ejpam-3532	18	14	per	per	ADP
ejpam-3532	18	15	1,000	1,000	NUM
ejpam-3532	18	16	:	:	PUNCT
ejpam-3532	18	17	most	most	ADJ
ejpam-3532	18	18	deaths	death	NOUN
ejpam-3532	18	19	occur	occur	VERB
ejpam-3532	18	20	in	in	ADP
ejpam-3532	18	21	newborns	newborn	NOUN
ejpam-3532	18	22	,	,	PUNCT
ejpam-3532	18	23	immunocompromised	immunocompromise	VERB
ejpam-3532	18	24	people	people	NOUN
ejpam-3532	18	25	and	and	CCONJ
ejpam-3532	18	26	the	the	DET
ejpam-3532	18	27	elderly	elderly	ADJ
ejpam-3532	18	28	[	[	X
ejpam-3532	18	29	9	9	NUM
ejpam-3532	18	30	]	]	PUNCT
ejpam-3532	18	31	.	.	PUNCT
ejpam-3532	19	1	∗corresponding	∗corresponde	VERB
ejpam-3532	19	2	author	author	NOUN
ejpam-3532	19	3	.	.	PUNCT
ejpam-3532	20	1	doi	doi	NOUN
ejpam-3532	20	2	:	:	PUNCT
ejpam-3532	20	3	https://doi.org/10.29020/nybg.ejpam.v12i4.3532	https://doi.org/10.29020/nybg.ejpam.v12i4.3532	NOUN
ejpam-3532	20	4	email	email	NOUN
ejpam-3532	20	5	addresses	address	NOUN
ejpam-3532	20	6	:	:	PUNCT
ejpam-3532	20	7	famane.kambire@yahoo.fr	famane.kambire@yahoo.fr	NOUN
ejpam-3532	20	8	(	(	PUNCT
ejpam-3532	20	9	famane	famane	PROPN
ejpam-3532	20	10	kambiré	kambiré	PROPN
ejpam-3532	20	11	)	)	PUNCT
ejpam-3532	20	12	,	,	PUNCT
ejpam-3532	20	13	elgouba@gmail.com	elgouba@gmail.com	X
ejpam-3532	20	14	(	(	PUNCT
ejpam-3532	20	15	elisée	elisée	PROPN
ejpam-3532	20	16	gouba	gouba	PROPN
ejpam-3532	20	17	)	)	PUNCT
ejpam-3532	20	18	,	,	PUNCT
ejpam-3532	20	19	sadoutao@yahoo.fr	sadoutao@yahoo.fr	NOUN
ejpam-3532	20	20	(	(	PUNCT
ejpam-3532	20	21	sadou	sadou	NOUN
ejpam-3532	20	22	tao	tao	PROPN
ejpam-3532	20	23	)	)	PUNCT
ejpam-3532	20	24	,	,	PUNCT
ejpam-3532	20	25	some@univ-ouaga.bf	some@univ-ouaga.bf	NOUN
ejpam-3532	20	26	(	(	PUNCT
ejpam-3532	20	27	blaise	blaise	PROPN
ejpam-3532	20	28	somé	somé	VERB
ejpam-3532	20	29	)	)	PUNCT
ejpam-3532	20	30	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3532	21	1	1533	1533	NUM
ejpam-3532	21	2	c	c	X
ejpam-3532	21	3	©	©	PROPN
ejpam-3532	21	4	2019	2019	NUM
ejpam-3532	21	5	ejpam	ejpam	NOUN
ejpam-3532	21	6	all	all	DET
ejpam-3532	21	7	rights	right	NOUN
ejpam-3532	21	8	reserved	reserve	VERB
ejpam-3532	21	9	.	.	PUNCT
ejpam-3532	22	1	famane	famane	PROPN
ejpam-3532	22	2	kambiré	kambiré	PROPN
ejpam-3532	22	3	et	et	PROPN
ejpam-3532	23	1	al	al	PROPN
ejpam-3532	23	2	.	.	PUNCT
ejpam-3532	23	3	/	/	SYM
ejpam-3532	23	4	eur	eur	PROPN
ejpam-3532	23	5	.	.	PUNCT
ejpam-3532	24	1	j.	j.	PROPN
ejpam-3532	24	2	pure	pure	PROPN
ejpam-3532	24	3	appl	appl	PROPN
ejpam-3532	24	4	.	.	PROPN
ejpam-3532	24	5	math	math	PROPN
ejpam-3532	24	6	,	,	PUNCT
ejpam-3532	24	7	12	12	NUM
ejpam-3532	24	8	(	(	PUNCT
ejpam-3532	24	9	4	4	NUM
ejpam-3532	24	10	)	)	PUNCT
ejpam-3532	24	11	(	(	PUNCT
ejpam-3532	24	12	2019	2019	NUM
ejpam-3532	24	13	)	)	PUNCT
ejpam-3532	24	14	,	,	PUNCT
ejpam-3532	24	15	1533	1533	NUM
ejpam-3532	24	16	-	-	SYM
ejpam-3532	24	17	1552	1552	NUM
ejpam-3532	24	18	1534	1534	NUM
ejpam-3532	24	19	many	many	ADJ
ejpam-3532	24	20	mathematical	mathematical	ADJ
ejpam-3532	24	21	models	model	NOUN
ejpam-3532	24	22	have	have	AUX
ejpam-3532	24	23	been	be	AUX
ejpam-3532	24	24	formulated	formulate	VERB
ejpam-3532	24	25	to	to	PART
ejpam-3532	24	26	describe	describe	VERB
ejpam-3532	24	27	the	the	DET
ejpam-3532	24	28	dynamics	dynamic	NOUN
ejpam-3532	24	29	of	of	ADP
ejpam-3532	24	30	chikungunya	chikungunya	NOUN
ejpam-3532	24	31	transmission	transmission	NOUN
ejpam-3532	24	32	;	;	PUNCT
ejpam-3532	24	33	see	see	VERB
ejpam-3532	24	34	for	for	ADP
ejpam-3532	24	35	example	example	NOUN
ejpam-3532	24	36	[	[	X
ejpam-3532	24	37	2	2	NUM
ejpam-3532	24	38	,	,	PUNCT
ejpam-3532	24	39	5	5	NUM
ejpam-3532	24	40	,	,	PUNCT
ejpam-3532	24	41	8	8	NUM
ejpam-3532	24	42	]	]	PUNCT
ejpam-3532	24	43	.	.	PUNCT
ejpam-3532	25	1	according	accord	VERB
ejpam-3532	25	2	to	to	ADP
ejpam-3532	25	3	our	our	PRON
ejpam-3532	25	4	knowledge	knowledge	NOUN
ejpam-3532	25	5	the	the	DET
ejpam-3532	25	6	existing	exist	VERB
ejpam-3532	25	7	models	model	NOUN
ejpam-3532	25	8	do	do	AUX
ejpam-3532	25	9	not	not	PART
ejpam-3532	25	10	simultaneously	simultaneously	ADV
ejpam-3532	25	11	take	take	VERB
ejpam-3532	25	12	into	into	ADP
ejpam-3532	25	13	account	account	NOUN
ejpam-3532	25	14	the	the	DET
ejpam-3532	25	15	variation	variation	NOUN
ejpam-3532	25	16	of	of	ADP
ejpam-3532	25	17	the	the	DET
ejpam-3532	25	18	mortality	mortality	NOUN
ejpam-3532	25	19	due	due	ADP
ejpam-3532	25	20	to	to	ADP
ejpam-3532	25	21	the	the	DET
ejpam-3532	25	22	other	other	ADJ
ejpam-3532	25	23	causes	cause	NOUN
ejpam-3532	25	24	than	than	ADP
ejpam-3532	25	25	the	the	DET
ejpam-3532	25	26	disease	disease	NOUN
ejpam-3532	25	27	,	,	PUNCT
ejpam-3532	25	28	the	the	DET
ejpam-3532	25	29	decay	decay	NOUN
ejpam-3532	25	30	of	of	ADP
ejpam-3532	25	31	immunity	immunity	NOUN
ejpam-3532	25	32	and	and	CCONJ
ejpam-3532	25	33	immune	immune	ADJ
ejpam-3532	25	34	system	system	NOUN
ejpam-3532	25	35	boosting	boost	VERB
ejpam-3532	25	36	of	of	ADP
ejpam-3532	25	37	the	the	DET
ejpam-3532	25	38	host	host	NOUN
ejpam-3532	25	39	.	.	PUNCT
ejpam-3532	26	1	they	they	PRON
ejpam-3532	26	2	consider	consider	VERB
ejpam-3532	26	3	a	a	DET
ejpam-3532	26	4	constant	constant	ADJ
ejpam-3532	26	5	mortality	mortality	NOUN
ejpam-3532	26	6	rate	rate	NOUN
ejpam-3532	26	7	and	and	CCONJ
ejpam-3532	26	8	only	only	ADV
ejpam-3532	26	9	one	one	NUM
ejpam-3532	26	10	compartment	compartment	NOUN
ejpam-3532	26	11	for	for	ADP
ejpam-3532	26	12	recovered	recovered	ADJ
ejpam-3532	26	13	hosts	host	NOUN
ejpam-3532	26	14	.	.	PUNCT
ejpam-3532	27	1	our	our	PRON
ejpam-3532	27	2	model	model	NOUN
ejpam-3532	27	3	aims	aim	VERB
ejpam-3532	27	4	at	at	ADP
ejpam-3532	27	5	correcting	correct	VERB
ejpam-3532	27	6	these	these	DET
ejpam-3532	27	7	inadequacies	inadequacy	NOUN
ejpam-3532	27	8	and	and	CCONJ
ejpam-3532	27	9	proposing	propose	VERB
ejpam-3532	27	10	necessary	necessary	ADJ
ejpam-3532	27	11	conditions	condition	NOUN
ejpam-3532	27	12	to	to	PART
ejpam-3532	27	13	stop	stop	VERB
ejpam-3532	27	14	the	the	DET
ejpam-3532	27	15	spread	spread	NOUN
ejpam-3532	27	16	of	of	ADP
ejpam-3532	27	17	the	the	DET
ejpam-3532	27	18	disease	disease	NOUN
ejpam-3532	27	19	.	.	PUNCT
ejpam-3532	28	1	in	in	ADP
ejpam-3532	28	2	[	[	X
ejpam-3532	28	3	6	6	NUM
ejpam-3532	28	4	,	,	PUNCT
ejpam-3532	28	5	7	7	NUM
ejpam-3532	28	6	]	]	PUNCT
ejpam-3532	28	7	the	the	DET
ejpam-3532	28	8	authors	author	NOUN
ejpam-3532	28	9	have	have	AUX
ejpam-3532	28	10	developed	develop	VERB
ejpam-3532	28	11	a	a	DET
ejpam-3532	28	12	deterministic	deterministic	ADJ
ejpam-3532	28	13	model	model	NOUN
ejpam-3532	28	14	which	which	PRON
ejpam-3532	28	15	describes	describe	VERB
ejpam-3532	28	16	the	the	DET
ejpam-3532	28	17	dynamics	dynamic	NOUN
ejpam-3532	28	18	of	of	ADP
ejpam-3532	28	19	malaria	malaria	NOUN
ejpam-3532	28	20	transmission	transmission	NOUN
ejpam-3532	28	21	.	.	PUNCT
ejpam-3532	29	1	in	in	ADP
ejpam-3532	29	2	their	their	PRON
ejpam-3532	29	3	model	model	NOUN
ejpam-3532	29	4	they	they	PRON
ejpam-3532	29	5	have	have	AUX
ejpam-3532	29	6	used	use	VERB
ejpam-3532	29	7	death	death	NOUN
ejpam-3532	29	8	rates	rate	NOUN
ejpam-3532	29	9	linearly	linearly	ADV
ejpam-3532	29	10	dependent	dependent	ADJ
ejpam-3532	29	11	on	on	ADP
ejpam-3532	29	12	the	the	DET
ejpam-3532	29	13	total	total	ADJ
ejpam-3532	29	14	population	population	NOUN
ejpam-3532	29	15	for	for	ADP
ejpam-3532	29	16	humans	human	NOUN
ejpam-3532	29	17	and	and	CCONJ
ejpam-3532	29	18	mosquitoes	mosquito	NOUN
ejpam-3532	29	19	.	.	PUNCT
ejpam-3532	30	1	in	in	ADP
ejpam-3532	30	2	[	[	X
ejpam-3532	30	3	14	14	NUM
ejpam-3532	30	4	]	]	PUNCT
ejpam-3532	30	5	,	,	PUNCT
ejpam-3532	30	6	the	the	DET
ejpam-3532	30	7	authors	author	NOUN
ejpam-3532	30	8	have	have	AUX
ejpam-3532	30	9	formulated	formulate	VERB
ejpam-3532	30	10	a	a	DET
ejpam-3532	30	11	deterministic	deterministic	ADJ
ejpam-3532	30	12	model	model	NOUN
ejpam-3532	30	13	in	in	ADP
ejpam-3532	30	14	a	a	DET
ejpam-3532	30	15	populaton	populaton	PROPN
ejpam-3532	30	16	structured	structure	VERB
ejpam-3532	30	17	by	by	ADP
ejpam-3532	30	18	immune	immune	ADJ
ejpam-3532	30	19	status	status	NOUN
ejpam-3532	30	20	and	and	CCONJ
ejpam-3532	30	21	they	they	PRON
ejpam-3532	30	22	study	study	VERB
ejpam-3532	30	23	waning	wane	VERB
ejpam-3532	30	24	immunity	immunity	NOUN
ejpam-3532	30	25	and	and	CCONJ
ejpam-3532	30	26	immune	immune	ADJ
ejpam-3532	30	27	system	system	NOUN
ejpam-3532	30	28	boosting	boost	VERB
ejpam-3532	30	29	.	.	PUNCT
ejpam-3532	31	1	they	they	PRON
ejpam-3532	31	2	have	have	AUX
ejpam-3532	31	3	used	use	VERB
ejpam-3532	31	4	three	three	NUM
ejpam-3532	31	5	compartments	compartment	NOUN
ejpam-3532	31	6	of	of	ADP
ejpam-3532	31	7	immune	immune	ADJ
ejpam-3532	31	8	humans	human	NOUN
ejpam-3532	31	9	but	but	CCONJ
ejpam-3532	31	10	they	they	PRON
ejpam-3532	31	11	considered	consider	VERB
ejpam-3532	31	12	constant	constant	ADJ
ejpam-3532	31	13	mortality	mortality	NOUN
ejpam-3532	31	14	rates	rate	NOUN
ejpam-3532	31	15	and	and	CCONJ
ejpam-3532	31	16	their	their	PRON
ejpam-3532	31	17	model	model	NOUN
ejpam-3532	31	18	did	do	AUX
ejpam-3532	31	19	not	not	PART
ejpam-3532	31	20	take	take	VERB
ejpam-3532	31	21	into	into	ADP
ejpam-3532	31	22	account	account	NOUN
ejpam-3532	31	23	vector	vector	NOUN
ejpam-3532	31	24	-	-	PUNCT
ejpam-3532	31	25	borne	bear	VERB
ejpam-3532	31	26	diseases	disease	NOUN
ejpam-3532	31	27	.	.	PUNCT
ejpam-3532	32	1	by	by	ADP
ejpam-3532	32	2	combining	combine	VERB
ejpam-3532	32	3	these	these	DET
ejpam-3532	32	4	two	two	NUM
ejpam-3532	32	5	approaches	approach	NOUN
ejpam-3532	32	6	,	,	PUNCT
ejpam-3532	32	7	we	we	PRON
ejpam-3532	32	8	propose	propose	VERB
ejpam-3532	32	9	a	a	DET
ejpam-3532	32	10	model	model	NOUN
ejpam-3532	32	11	that	that	PRON
ejpam-3532	32	12	best	good	ADJ
ejpam-3532	32	13	describes	describe	VERB
ejpam-3532	32	14	the	the	DET
ejpam-3532	32	15	transmission	transmission	NOUN
ejpam-3532	32	16	of	of	ADP
ejpam-3532	32	17	chikungunya	chikungunya	NOUN
ejpam-3532	32	18	.	.	PUNCT
ejpam-3532	33	1	the	the	DET
ejpam-3532	33	2	model	model	NOUN
ejpam-3532	33	3	we	we	PRON
ejpam-3532	33	4	formulate	formulate	VERB
ejpam-3532	33	5	is	be	AUX
ejpam-3532	33	6	based	base	VERB
ejpam-3532	33	7	on	on	ADP
ejpam-3532	33	8	the	the	DET
ejpam-3532	33	9	principle	principle	NOUN
ejpam-3532	33	10	of	of	ADP
ejpam-3532	33	11	compartmental	compartmental	ADJ
ejpam-3532	33	12	analysis	analysis	NOUN
ejpam-3532	33	13	described	describe	VERB
ejpam-3532	33	14	in	in	ADP
ejpam-3532	33	15	[	[	X
ejpam-3532	33	16	21	21	NUM
ejpam-3532	33	17	,	,	PUNCT
ejpam-3532	33	18	22	22	NUM
ejpam-3532	33	19	]	]	PUNCT
ejpam-3532	33	20	.	.	PUNCT
ejpam-3532	34	1	this	this	DET
ejpam-3532	34	2	paper	paper	NOUN
ejpam-3532	34	3	is	be	AUX
ejpam-3532	34	4	organized	organize	VERB
ejpam-3532	34	5	in	in	ADP
ejpam-3532	34	6	five	five	NUM
ejpam-3532	34	7	sections	section	NOUN
ejpam-3532	34	8	.	.	PUNCT
ejpam-3532	35	1	the	the	DET
ejpam-3532	35	2	introduction	introduction	NOUN
ejpam-3532	35	3	is	be	AUX
ejpam-3532	35	4	given	give	VERB
ejpam-3532	35	5	in	in	ADP
ejpam-3532	35	6	the	the	DET
ejpam-3532	35	7	first	first	ADJ
ejpam-3532	35	8	section	section	NOUN
ejpam-3532	35	9	.	.	PUNCT
ejpam-3532	36	1	the	the	DET
ejpam-3532	36	2	second	second	ADJ
ejpam-3532	36	3	section	section	NOUN
ejpam-3532	36	4	is	be	AUX
ejpam-3532	36	5	dedicated	dedicate	VERB
ejpam-3532	36	6	to	to	ADP
ejpam-3532	36	7	the	the	DET
ejpam-3532	36	8	formulation	formulation	NOUN
ejpam-3532	36	9	of	of	ADP
ejpam-3532	36	10	the	the	DET
ejpam-3532	36	11	model	model	NOUN
ejpam-3532	36	12	.	.	PUNCT
ejpam-3532	37	1	we	we	PRON
ejpam-3532	37	2	present	present	VERB
ejpam-3532	37	3	the	the	DET
ejpam-3532	37	4	basic	basic	ADJ
ejpam-3532	37	5	asumptions	asumption	NOUN
ejpam-3532	37	6	,	,	PUNCT
ejpam-3532	37	7	the	the	DET
ejpam-3532	37	8	parameters	parameter	NOUN
ejpam-3532	37	9	and	and	CCONJ
ejpam-3532	37	10	the	the	DET
ejpam-3532	37	11	variables	variable	NOUN
ejpam-3532	37	12	used	use	VERB
ejpam-3532	37	13	in	in	ADP
ejpam-3532	37	14	the	the	DET
ejpam-3532	37	15	model	model	NOUN
ejpam-3532	37	16	.	.	PUNCT
ejpam-3532	38	1	we	we	PRON
ejpam-3532	38	2	describe	describe	VERB
ejpam-3532	38	3	the	the	DET
ejpam-3532	38	4	interactions	interaction	NOUN
ejpam-3532	38	5	between	between	ADP
ejpam-3532	38	6	the	the	DET
ejpam-3532	38	7	different	different	ADJ
ejpam-3532	38	8	classes	class	NOUN
ejpam-3532	38	9	of	of	ADP
ejpam-3532	38	10	the	the	DET
ejpam-3532	38	11	model	model	NOUN
ejpam-3532	38	12	and	and	CCONJ
ejpam-3532	38	13	we	we	PRON
ejpam-3532	38	14	formulate	formulate	VERB
ejpam-3532	38	15	the	the	DET
ejpam-3532	38	16	model	model	NOUN
ejpam-3532	38	17	.	.	PUNCT
ejpam-3532	39	1	in	in	ADP
ejpam-3532	39	2	the	the	DET
ejpam-3532	39	3	third	third	ADJ
ejpam-3532	39	4	section	section	NOUN
ejpam-3532	39	5	we	we	PRON
ejpam-3532	39	6	analyze	analyze	VERB
ejpam-3532	39	7	the	the	DET
ejpam-3532	39	8	model	model	NOUN
ejpam-3532	39	9	.	.	PUNCT
ejpam-3532	40	1	the	the	DET
ejpam-3532	40	2	existence	existence	NOUN
ejpam-3532	40	3	,	,	PUNCT
ejpam-3532	40	4	the	the	DET
ejpam-3532	40	5	positivity	positivity	NOUN
ejpam-3532	40	6	and	and	CCONJ
ejpam-3532	40	7	the	the	DET
ejpam-3532	40	8	boudedness	boudedness	NOUN
ejpam-3532	40	9	of	of	ADP
ejpam-3532	40	10	the	the	DET
ejpam-3532	40	11	solutions	solution	NOUN
ejpam-3532	40	12	is	be	AUX
ejpam-3532	40	13	demonstrasted	demonstraste	VERB
ejpam-3532	40	14	.	.	PUNCT
ejpam-3532	41	1	the	the	DET
ejpam-3532	41	2	disease	disease	NOUN
ejpam-3532	41	3	free	free	VERB
ejpam-3532	41	4	equilibrium	equilibrium	NOUN
ejpam-3532	41	5	and	and	CCONJ
ejpam-3532	41	6	the	the	DET
ejpam-3532	41	7	basic	basic	ADJ
ejpam-3532	41	8	reproduction	reproduction	NOUN
ejpam-3532	41	9	number	number	NOUN
ejpam-3532	41	10	are	be	AUX
ejpam-3532	41	11	determined	determine	VERB
ejpam-3532	41	12	.	.	PUNCT
ejpam-3532	42	1	the	the	DET
ejpam-3532	42	2	local	local	ADJ
ejpam-3532	42	3	asymptotic	asymptotic	ADJ
ejpam-3532	42	4	stability	stability	NOUN
ejpam-3532	42	5	of	of	ADP
ejpam-3532	42	6	the	the	DET
ejpam-3532	42	7	disease	disease	NOUN
ejpam-3532	42	8	free	free	ADJ
ejpam-3532	42	9	equilibrium	equilibrium	NOUN
ejpam-3532	42	10	is	be	AUX
ejpam-3532	42	11	studied	study	VERB
ejpam-3532	42	12	.	.	PUNCT
ejpam-3532	43	1	in	in	ADP
ejpam-3532	43	2	the	the	DET
ejpam-3532	43	3	fourth	fourth	ADJ
ejpam-3532	43	4	section	section	NOUN
ejpam-3532	43	5	the	the	DET
ejpam-3532	43	6	theoretical	theoretical	ADJ
ejpam-3532	43	7	results	result	NOUN
ejpam-3532	43	8	of	of	ADP
ejpam-3532	43	9	the	the	DET
ejpam-3532	43	10	analysis	analysis	NOUN
ejpam-3532	43	11	are	be	AUX
ejpam-3532	43	12	illustrated	illustrate	VERB
ejpam-3532	43	13	by	by	ADP
ejpam-3532	43	14	a	a	DET
ejpam-3532	43	15	numerical	numerical	ADJ
ejpam-3532	43	16	simulation	simulation	NOUN
ejpam-3532	43	17	.	.	PUNCT
ejpam-3532	44	1	in	in	ADP
ejpam-3532	44	2	the	the	DET
ejpam-3532	44	3	fifth	fifth	ADJ
ejpam-3532	44	4	section	section	NOUN
ejpam-3532	44	5	we	we	PRON
ejpam-3532	44	6	end	end	VERB
ejpam-3532	44	7	the	the	DET
ejpam-3532	44	8	paper	paper	NOUN
ejpam-3532	44	9	by	by	ADP
ejpam-3532	44	10	a	a	DET
ejpam-3532	44	11	conclusion	conclusion	NOUN
ejpam-3532	44	12	.	.	PUNCT
ejpam-3532	45	1	2	2	X
ejpam-3532	45	2	.	.	X
ejpam-3532	45	3	the	the	DET
ejpam-3532	45	4	mathematical	mathematical	ADJ
ejpam-3532	45	5	model	model	NOUN
ejpam-3532	45	6	we	we	PRON
ejpam-3532	45	7	devide	devide	VERB
ejpam-3532	45	8	the	the	DET
ejpam-3532	45	9	humans	human	NOUN
ejpam-3532	45	10	population	population	NOUN
ejpam-3532	45	11	into	into	ADP
ejpam-3532	45	12	five	five	NUM
ejpam-3532	45	13	copartments	copartment	NOUN
ejpam-3532	45	14	and	and	CCONJ
ejpam-3532	45	15	the	the	DET
ejpam-3532	45	16	mosquitos	mosquitos	ADJ
ejpam-3532	45	17	population	population	NOUN
ejpam-3532	45	18	into	into	ADP
ejpam-3532	45	19	two	two	NUM
ejpam-3532	45	20	compartments	compartment	NOUN
ejpam-3532	45	21	.	.	PUNCT
ejpam-3532	46	1	the	the	DET
ejpam-3532	46	2	varibles	varible	NOUN
ejpam-3532	46	3	of	of	ADP
ejpam-3532	46	4	the	the	DET
ejpam-3532	46	5	model	model	NOUN
ejpam-3532	46	6	are	be	AUX
ejpam-3532	46	7	given	give	VERB
ejpam-3532	46	8	by	by	ADP
ejpam-3532	46	9	table	table	NOUN
ejpam-3532	46	10	1	1	NUM
ejpam-3532	46	11	and	and	CCONJ
ejpam-3532	46	12	the	the	DET
ejpam-3532	46	13	pameters	pameter	NOUN
ejpam-3532	46	14	are	be	AUX
ejpam-3532	46	15	given	give	VERB
ejpam-3532	46	16	table	table	NOUN
ejpam-3532	46	17	2	2	NUM
ejpam-3532	46	18	.	.	PUNCT
ejpam-3532	47	1	2.1	2.1	NUM
ejpam-3532	47	2	.	.	PUNCT
ejpam-3532	47	3	assumptions	assumption	NOUN
ejpam-3532	47	4	•	•	ADP
ejpam-3532	47	5	infected	infect	VERB
ejpam-3532	47	6	mosquito	mosquito	ADJ
ejpam-3532	47	7	bites	bite	NOUN
ejpam-3532	47	8	are	be	AUX
ejpam-3532	47	9	the	the	DET
ejpam-3532	47	10	only	only	ADJ
ejpam-3532	47	11	ways	way	NOUN
ejpam-3532	47	12	to	to	PART
ejpam-3532	47	13	transmit	transmit	VERB
ejpam-3532	47	14	viruses	virus	NOUN
ejpam-3532	47	15	between	between	ADP
ejpam-3532	47	16	mosquitoes	mosquito	NOUN
ejpam-3532	47	17	and	and	CCONJ
ejpam-3532	47	18	humans	human	NOUN
ejpam-3532	47	19	.	.	PUNCT
ejpam-3532	48	1	•	•	NOUN
ejpam-3532	48	2	at	at	ADP
ejpam-3532	48	3	birth	birth	NOUN
ejpam-3532	48	4	,	,	PUNCT
ejpam-3532	48	5	all	all	DET
ejpam-3532	48	6	newborns	newborn	NOUN
ejpam-3532	48	7	are	be	AUX
ejpam-3532	48	8	supposed	suppose	VERB
ejpam-3532	48	9	to	to	PART
ejpam-3532	48	10	be	be	AUX
ejpam-3532	48	11	suseptible	suseptible	ADJ
ejpam-3532	48	12	in	in	ADP
ejpam-3532	48	13	both	both	DET
ejpam-3532	48	14	populations	population	NOUN
ejpam-3532	48	15	.	.	PUNCT
ejpam-3532	49	1	•	•	NUM
ejpam-3532	49	2	infected	infect	VERB
ejpam-3532	49	3	mosquitoes	mosquito	NOUN
ejpam-3532	49	4	remain	remain	VERB
ejpam-3532	49	5	infected	infected	ADJ
ejpam-3532	49	6	throughout	throughout	ADP
ejpam-3532	49	7	the	the	DET
ejpam-3532	49	8	rest	rest	NOUN
ejpam-3532	49	9	of	of	ADP
ejpam-3532	49	10	their	their	PRON
ejpam-3532	49	11	lives	life	NOUN
ejpam-3532	49	12	.	.	PUNCT
ejpam-3532	50	1	•	•	NOUN
ejpam-3532	50	2	the	the	DET
ejpam-3532	50	3	disease	disease	NOUN
ejpam-3532	50	4	does	do	AUX
ejpam-3532	50	5	not	not	PART
ejpam-3532	50	6	kill	kill	VERB
ejpam-3532	50	7	mosquitoes	mosquito	NOUN
ejpam-3532	50	8	.	.	PUNCT
ejpam-3532	51	1	•	•	NUM
ejpam-3532	51	2	after	after	ADP
ejpam-3532	51	3	contact	contact	NOUN
ejpam-3532	51	4	with	with	ADP
ejpam-3532	51	5	the	the	DET
ejpam-3532	51	6	chikungunya	chikungunya	NOUN
ejpam-3532	51	7	virus	virus	NOUN
ejpam-3532	51	8	,	,	PUNCT
ejpam-3532	51	9	recovered	recover	VERB
ejpam-3532	51	10	humans	human	NOUN
ejpam-3532	51	11	no	no	ADV
ejpam-3532	51	12	longer	long	ADV
ejpam-3532	51	13	carry	carry	VERB
ejpam-3532	51	14	viruses	virus	NOUN
ejpam-3532	51	15	.	.	PUNCT
ejpam-3532	52	1	so	so	ADV
ejpam-3532	52	2	they	they	PRON
ejpam-3532	52	3	can	can	AUX
ejpam-3532	52	4	no	no	ADV
ejpam-3532	52	5	longer	long	ADV
ejpam-3532	52	6	transmit	transmit	VERB
ejpam-3532	52	7	viruses	virus	NOUN
ejpam-3532	52	8	to	to	ADP
ejpam-3532	52	9	mosquitoes	mosquito	NOUN
ejpam-3532	52	10	.	.	PUNCT
ejpam-3532	53	1	famane	famane	PROPN
ejpam-3532	53	2	kambiré	kambiré	PROPN
ejpam-3532	53	3	et	et	PROPN
ejpam-3532	54	1	al	al	PROPN
ejpam-3532	54	2	.	.	PUNCT
ejpam-3532	54	3	/	/	SYM
ejpam-3532	54	4	eur	eur	PROPN
ejpam-3532	54	5	.	.	PUNCT
ejpam-3532	55	1	j.	j.	PROPN
ejpam-3532	55	2	pure	pure	PROPN
ejpam-3532	55	3	appl	appl	PROPN
ejpam-3532	55	4	.	.	PROPN
ejpam-3532	55	5	math	math	PROPN
ejpam-3532	55	6	,	,	PUNCT
ejpam-3532	55	7	12	12	NUM
ejpam-3532	55	8	(	(	PUNCT
ejpam-3532	55	9	4	4	NUM
ejpam-3532	55	10	)	)	PUNCT
ejpam-3532	55	11	(	(	PUNCT
ejpam-3532	55	12	2019	2019	NUM
ejpam-3532	55	13	)	)	PUNCT
ejpam-3532	55	14	,	,	PUNCT
ejpam-3532	55	15	1533	1533	NUM
ejpam-3532	55	16	-	-	SYM
ejpam-3532	55	17	1552	1552	NUM
ejpam-3532	55	18	1535	1535	NUM
ejpam-3532	55	19	table	table	NOUN
ejpam-3532	55	20	1	1	NUM
ejpam-3532	55	21	:	:	PUNCT
ejpam-3532	55	22	variables	variable	NOUN
ejpam-3532	55	23	used	use	VERB
ejpam-3532	55	24	in	in	ADP
ejpam-3532	55	25	the	the	DET
ejpam-3532	55	26	model	model	NOUN
ejpam-3532	55	27	variables	variable	VERB
ejpam-3532	55	28	description	description	NOUN
ejpam-3532	55	29	s(t	s(t	PROPN
ejpam-3532	55	30	)	)	PUNCT
ejpam-3532	55	31	number	number	NOUN
ejpam-3532	55	32	of	of	ADP
ejpam-3532	55	33	susceptible	susceptible	ADJ
ejpam-3532	55	34	humans	human	NOUN
ejpam-3532	55	35	at	at	ADP
ejpam-3532	55	36	time	time	NOUN
ejpam-3532	55	37	t.	t.	PROPN
ejpam-3532	55	38	i(t	i(t	PROPN
ejpam-3532	55	39	)	)	PUNCT
ejpam-3532	55	40	number	number	NOUN
ejpam-3532	55	41	of	of	ADP
ejpam-3532	55	42	infected	infected	ADJ
ejpam-3532	55	43	humans	human	NOUN
ejpam-3532	55	44	at	at	ADP
ejpam-3532	55	45	time	time	NOUN
ejpam-3532	55	46	t.	t.	PROPN
ejpam-3532	55	47	rf	rf	ADJ
ejpam-3532	55	48	(	(	PUNCT
ejpam-3532	55	49	t	t	NOUN
ejpam-3532	55	50	)	)	PUNCT
ejpam-3532	55	51	number	number	NOUN
ejpam-3532	55	52	of	of	ADP
ejpam-3532	55	53	immune	immune	ADJ
ejpam-3532	55	54	humans	human	NOUN
ejpam-3532	55	55	with	with	ADP
ejpam-3532	55	56	high	high	ADJ
ejpam-3532	55	57	level	level	NOUN
ejpam-3532	55	58	of	of	ADP
ejpam-3532	55	59	immunity	immunity	NOUN
ejpam-3532	55	60	at	at	ADP
ejpam-3532	55	61	time	time	NOUN
ejpam-3532	55	62	t.	t.	PROPN
ejpam-3532	55	63	rw	rw	PROPN
ejpam-3532	55	64	(	(	PUNCT
ejpam-3532	55	65	t	t	NOUN
ejpam-3532	55	66	)	)	PUNCT
ejpam-3532	55	67	number	number	NOUN
ejpam-3532	55	68	of	of	ADP
ejpam-3532	55	69	immune	immune	ADJ
ejpam-3532	55	70	humans	human	NOUN
ejpam-3532	55	71	with	with	ADP
ejpam-3532	55	72	intermediate	intermediate	ADJ
ejpam-3532	55	73	level	level	NOUN
ejpam-3532	55	74	of	of	ADP
ejpam-3532	55	75	immunity	immunity	NOUN
ejpam-3532	55	76	at	at	ADP
ejpam-3532	55	77	time	time	NOUN
ejpam-3532	55	78	t.	t.	X
ejpam-3532	55	79	rc(t	rc(t	NOUN
ejpam-3532	55	80	)	)	PUNCT
ejpam-3532	55	81	number	number	NOUN
ejpam-3532	55	82	of	of	ADP
ejpam-3532	55	83	immune	immune	ADJ
ejpam-3532	55	84	humans	human	NOUN
ejpam-3532	55	85	with	with	ADP
ejpam-3532	55	86	critically	critically	ADV
ejpam-3532	55	87	low	low	ADJ
ejpam-3532	55	88	level	level	NOUN
ejpam-3532	55	89	of	of	ADP
ejpam-3532	55	90	immunity	immunity	NOUN
ejpam-3532	55	91	at	at	ADP
ejpam-3532	55	92	time	time	NOUN
ejpam-3532	55	93	t.	t.	PROPN
ejpam-3532	55	94	nh(t	nh(t	PROPN
ejpam-3532	55	95	)	)	PUNCT
ejpam-3532	55	96	total	total	ADJ
ejpam-3532	55	97	human	human	ADJ
ejpam-3532	55	98	population	population	NOUN
ejpam-3532	55	99	at	at	ADP
ejpam-3532	55	100	t	t	PROPN
ejpam-3532	55	101	:	:	PUNCT
ejpam-3532	55	102	nh(t	nh(t	X
ejpam-3532	55	103	)	)	PUNCT
ejpam-3532	55	104	=	=	SYM
ejpam-3532	55	105	s(t	s(t	PROPN
ejpam-3532	55	106	)	)	PUNCT
ejpam-3532	55	107	+	+	NUM
ejpam-3532	55	108	i(t	i(t	NOUN
ejpam-3532	55	109	)	)	PUNCT
ejpam-3532	56	1	+	+	VERB
ejpam-3532	56	2	rf	rf	ADJ
ejpam-3532	56	3	(	(	PUNCT
ejpam-3532	56	4	t	t	NOUN
ejpam-3532	56	5	)	)	PUNCT
ejpam-3532	56	6	+	+	NOUN
ejpam-3532	56	7	rw	rw	ADJ
ejpam-3532	56	8	(	(	PUNCT
ejpam-3532	56	9	t	t	PROPN
ejpam-3532	56	10	)	)	PUNCT
ejpam-3532	56	11	+	+	NOUN
ejpam-3532	56	12	rc(t	rc(t	X
ejpam-3532	56	13	)	)	PUNCT
ejpam-3532	56	14	.	.	PUNCT
ejpam-3532	57	1	sv	sv	INTJ
ejpam-3532	57	2	(	(	PUNCT
ejpam-3532	57	3	t	t	NOUN
ejpam-3532	57	4	)	)	PUNCT
ejpam-3532	57	5	number	number	NOUN
ejpam-3532	57	6	of	of	ADP
ejpam-3532	57	7	susceptible	susceptible	ADJ
ejpam-3532	57	8	mosquitoes	mosquito	NOUN
ejpam-3532	57	9	at	at	ADP
ejpam-3532	57	10	time	time	NOUN
ejpam-3532	57	11	t.	t.	PROPN
ejpam-3532	57	12	iv	iv	PROPN
ejpam-3532	57	13	(	(	PUNCT
ejpam-3532	57	14	t	t	NOUN
ejpam-3532	57	15	)	)	PUNCT
ejpam-3532	57	16	number	number	NOUN
ejpam-3532	57	17	of	of	ADP
ejpam-3532	57	18	infective	infective	ADJ
ejpam-3532	57	19	mosquitoes	mosquito	NOUN
ejpam-3532	57	20	at	at	ADP
ejpam-3532	57	21	time	time	NOUN
ejpam-3532	57	22	t.	t.	PROPN
ejpam-3532	57	23	nv	nv	PROPN
ejpam-3532	57	24	(	(	PUNCT
ejpam-3532	57	25	t	t	PROPN
ejpam-3532	57	26	)	)	PUNCT
ejpam-3532	57	27	total	total	ADJ
ejpam-3532	57	28	mosquito	mosquito	ADJ
ejpam-3532	57	29	population	population	NOUN
ejpam-3532	57	30	at	at	ADP
ejpam-3532	57	31	time	time	NOUN
ejpam-3532	57	32	t	t	PROPN
ejpam-3532	57	33	:	:	PUNCT
ejpam-3532	57	34	nv	nv	PROPN
ejpam-3532	57	35	(	(	PUNCT
ejpam-3532	57	36	t	t	PROPN
ejpam-3532	57	37	)	)	PUNCT
ejpam-3532	58	1	=	=	SYM
ejpam-3532	58	2	sv	sv	X
ejpam-3532	58	3	(	(	PUNCT
ejpam-3532	58	4	t	t	PROPN
ejpam-3532	58	5	)	)	PUNCT
ejpam-3532	59	1	+	+	NUM
ejpam-3532	59	2	iv	iv	NUM
ejpam-3532	59	3	(	(	PUNCT
ejpam-3532	59	4	t	t	NOUN
ejpam-3532	59	5	)	)	PUNCT
ejpam-3532	59	6	.	.	PUNCT
ejpam-3532	60	1	•	•	NUM
ejpam-3532	60	2	recovered	recover	VERB
ejpam-3532	60	3	humans	human	NOUN
ejpam-3532	60	4	acquire	acquire	VERB
ejpam-3532	60	5	an	an	DET
ejpam-3532	60	6	immunity	immunity	NOUN
ejpam-3532	60	7	;	;	PUNCT
ejpam-3532	60	8	this	this	DET
ejpam-3532	60	9	immunity	immunity	NOUN
ejpam-3532	60	10	gradually	gradually	ADV
ejpam-3532	60	11	decreases	decrease	VERB
ejpam-3532	60	12	several	several	ADJ
ejpam-3532	60	13	years	year	NOUN
ejpam-3532	60	14	after	after	ADP
ejpam-3532	60	15	recovery	recovery	NOUN
ejpam-3532	60	16	when	when	SCONJ
ejpam-3532	60	17	a	a	DET
ejpam-3532	60	18	recovered	recover	VERB
ejpam-3532	60	19	human	human	NOUN
ejpam-3532	60	20	is	be	AUX
ejpam-3532	60	21	no	no	ADV
ejpam-3532	60	22	longer	long	ADV
ejpam-3532	60	23	exposed	expose	VERB
ejpam-3532	60	24	to	to	ADP
ejpam-3532	60	25	viruses	virus	NOUN
ejpam-3532	60	26	.	.	PUNCT
ejpam-3532	61	1	•	•	NUM
ejpam-3532	61	2	new	new	ADJ
ejpam-3532	61	3	exposure	exposure	NOUN
ejpam-3532	61	4	to	to	ADP
ejpam-3532	61	5	viruses	virus	NOUN
ejpam-3532	61	6	boosts	boost	VERB
ejpam-3532	61	7	the	the	DET
ejpam-3532	61	8	immune	immune	ADJ
ejpam-3532	61	9	system	system	NOUN
ejpam-3532	61	10	then	then	ADV
ejpam-3532	61	11	prolong	prolong	VERB
ejpam-3532	61	12	the	the	DET
ejpam-3532	61	13	time	time	NOUN
ejpam-3532	61	14	in	in	ADP
ejpam-3532	61	15	which	which	PRON
ejpam-3532	61	16	a	a	DET
ejpam-3532	61	17	recovered	recovered	ADJ
ejpam-3532	61	18	individual	individual	NOUN
ejpam-3532	61	19	is	be	AUX
ejpam-3532	61	20	immune	immune	ADJ
ejpam-3532	61	21	.	.	PUNCT
ejpam-3532	62	1	•	•	NOUN
ejpam-3532	62	2	the	the	DET
ejpam-3532	62	3	mortality	mortality	NOUN
ejpam-3532	62	4	induced	induce	VERB
ejpam-3532	62	5	by	by	ADP
ejpam-3532	62	6	other	other	ADJ
ejpam-3532	62	7	causes	cause	NOUN
ejpam-3532	62	8	than	than	SCONJ
ejpam-3532	62	9	the	the	DET
ejpam-3532	62	10	desease	desease	NOUN
ejpam-3532	62	11	depends	depend	VERB
ejpam-3532	62	12	on	on	ADP
ejpam-3532	62	13	the	the	DET
ejpam-3532	62	14	total	total	ADJ
ejpam-3532	62	15	population	population	NOUN
ejpam-3532	62	16	for	for	ADP
ejpam-3532	62	17	both	both	CCONJ
ejpam-3532	62	18	human	human	ADJ
ejpam-3532	62	19	and	and	CCONJ
ejpam-3532	62	20	mosquitoe	mosquitoe	NOUN
ejpam-3532	62	21	populations	population	NOUN
ejpam-3532	62	22	and	and	CCONJ
ejpam-3532	62	23	is	be	AUX
ejpam-3532	62	24	given	give	VERB
ejpam-3532	62	25	by	by	ADP
ejpam-3532	62	26	fh(nh	fh(nh	PROPN
ejpam-3532	62	27	)	)	PUNCT
ejpam-3532	63	1	=	=	SYM
ejpam-3532	63	2	dh	dh	NOUN
ejpam-3532	64	1	+	+	CCONJ
ejpam-3532	64	2	d2hnh	d2hnh	PROPN
ejpam-3532	64	3	and	and	CCONJ
ejpam-3532	64	4	fv	fv	PROPN
ejpam-3532	64	5	(	(	PUNCT
ejpam-3532	64	6	nv	nv	PROPN
ejpam-3532	64	7	)	)	PUNCT
ejpam-3532	65	1	=	=	SYM
ejpam-3532	65	2	dv	dv	PROPN
ejpam-3532	65	3	+	+	CCONJ
ejpam-3532	65	4	d2vnv	d2vnv	ADJ
ejpam-3532	65	5	respectively	respectively	ADV
ejpam-3532	65	6	for	for	ADP
ejpam-3532	65	7	humans	human	NOUN
ejpam-3532	65	8	and	and	CCONJ
ejpam-3532	65	9	mosquitoes	mosquito	NOUN
ejpam-3532	65	10	;	;	PUNCT
ejpam-3532	65	11	see	see	VERB
ejpam-3532	65	12	[	[	X
ejpam-3532	65	13	7	7	NUM
ejpam-3532	65	14	,	,	PUNCT
ejpam-3532	65	15	15	15	NUM
ejpam-3532	65	16	]	]	PUNCT
ejpam-3532	65	17	.	.	PUNCT
ejpam-3532	66	1	2.2	2.2	NUM
ejpam-3532	66	2	.	.	PUNCT
ejpam-3532	67	1	the	the	DET
ejpam-3532	67	2	interactions	interaction	NOUN
ejpam-3532	67	3	per	per	ADP
ejpam-3532	67	4	time	time	NOUN
ejpam-3532	67	5	unit	unit	NOUN
ejpam-3532	67	6	,	,	PUNCT
ejpam-3532	67	7	bhnh(t	bhnh(t	PROPN
ejpam-3532	67	8	)	)	PUNCT
ejpam-3532	67	9	humans	human	NOUN
ejpam-3532	67	10	and	and	CCONJ
ejpam-3532	67	11	bvnv	bvnv	NOUN
ejpam-3532	67	12	(	(	PUNCT
ejpam-3532	67	13	t	t	NOUN
ejpam-3532	67	14	)	)	PUNCT
ejpam-3532	67	15	mosquitoes	mosquito	NOUN
ejpam-3532	67	16	are	be	AUX
ejpam-3532	67	17	born	bear	VERB
ejpam-3532	67	18	in	in	ADP
ejpam-3532	67	19	the	the	DET
ejpam-3532	67	20	susceptible	susceptible	ADJ
ejpam-3532	67	21	compartments	compartment	NOUN
ejpam-3532	67	22	s	s	PART
ejpam-3532	67	23	and	and	CCONJ
ejpam-3532	67	24	sv	sv	ADP
ejpam-3532	67	25	respectively	respectively	ADV
ejpam-3532	67	26	.	.	PUNCT
ejpam-3532	68	1	due	due	ADP
ejpam-3532	68	2	to	to	ADP
ejpam-3532	68	3	bites	bite	NOUN
ejpam-3532	68	4	by	by	ADP
ejpam-3532	68	5	infcted	infcte	VERB
ejpam-3532	68	6	mosquitoes	mosquito	NOUN
ejpam-3532	68	7	,	,	PUNCT
ejpam-3532	68	8	βh	βh	PROPN
ejpam-3532	68	9	iv	iv	NUM
ejpam-3532	68	10	nh	nh	PROPN
ejpam-3532	68	11	s	s	PART
ejpam-3532	68	12	susceptible	susceptible	ADJ
ejpam-3532	68	13	humans	human	NOUN
ejpam-3532	68	14	and	and	CCONJ
ejpam-3532	68	15	βv	βv	INTJ
ejpam-3532	68	16	i	i	PRON
ejpam-3532	68	17	nh	nh	INTJ
ejpam-3532	68	18	sv	sv	INTJ
ejpam-3532	68	19	susceptible	susceptible	ADJ
ejpam-3532	68	20	mosquitoes	mosquito	NOUN
ejpam-3532	68	21	are	be	AUX
ejpam-3532	68	22	newly	newly	ADV
ejpam-3532	68	23	infected	infect	VERB
ejpam-3532	68	24	.	.	PUNCT
ejpam-3532	69	1	then	then	ADV
ejpam-3532	69	2	they	they	PRON
ejpam-3532	69	3	enter	enter	VERB
ejpam-3532	69	4	the	the	DET
ejpam-3532	69	5	infected	infect	VERB
ejpam-3532	69	6	compartments	compartment	NOUN
ejpam-3532	70	1	i	i	PRON
ejpam-3532	70	2	and	and	CCONJ
ejpam-3532	70	3	iv	iv	NUM
ejpam-3532	70	4	respectively	respectively	ADV
ejpam-3532	70	5	.	.	PUNCT
ejpam-3532	71	1	γi	γi	X
ejpam-3532	71	2	infected	infect	VERB
ejpam-3532	71	3	humans	human	NOUN
ejpam-3532	71	4	are	be	AUX
ejpam-3532	71	5	recovered	recover	VERB
ejpam-3532	71	6	and	and	CCONJ
ejpam-3532	71	7	enter	enter	VERB
ejpam-3532	71	8	the	the	DET
ejpam-3532	71	9	compartment	compartment	NOUN
ejpam-3532	71	10	rf	rf	ADJ
ejpam-3532	71	11	with	with	ADP
ejpam-3532	71	12	high	high	ADJ
ejpam-3532	71	13	level	level	NOUN
ejpam-3532	71	14	of	of	ADP
ejpam-3532	71	15	immunity	immunity	NOUN
ejpam-3532	71	16	.	.	PUNCT
ejpam-3532	72	1	when	when	SCONJ
ejpam-3532	72	2	there	there	PRON
ejpam-3532	72	3	is	be	VERB
ejpam-3532	72	4	no	no	DET
ejpam-3532	72	5	new	new	ADJ
ejpam-3532	72	6	exposure	exposure	NOUN
ejpam-3532	72	7	after	after	ADP
ejpam-3532	72	8	recovery	recovery	NOUN
ejpam-3532	72	9	,	,	PUNCT
ejpam-3532	72	10	the	the	DET
ejpam-3532	72	11	immunity	immunity	NOUN
ejpam-3532	72	12	acquired	acquire	VERB
ejpam-3532	72	13	by	by	ADP
ejpam-3532	72	14	humans	human	NOUN
ejpam-3532	72	15	decays	decay	VERB
ejpam-3532	72	16	progressively	progressively	ADV
ejpam-3532	72	17	and	and	CCONJ
ejpam-3532	72	18	is	be	AUX
ejpam-3532	72	19	lost	lose	VERB
ejpam-3532	72	20	.	.	PUNCT
ejpam-3532	73	1	we	we	PRON
ejpam-3532	73	2	consider	consider	VERB
ejpam-3532	73	3	three	three	NUM
ejpam-3532	73	4	levels	level	NOUN
ejpam-3532	73	5	of	of	ADP
ejpam-3532	73	6	immunity	immunity	NOUN
ejpam-3532	73	7	and	and	CCONJ
ejpam-3532	73	8	we	we	PRON
ejpam-3532	73	9	divide	divide	VERB
ejpam-3532	73	10	human	human	ADJ
ejpam-3532	73	11	population	population	NOUN
ejpam-3532	73	12	into	into	ADP
ejpam-3532	73	13	five	five	NUM
ejpam-3532	73	14	compartments	compartment	NOUN
ejpam-3532	73	15	of	of	ADP
ejpam-3532	73	16	humans	human	NOUN
ejpam-3532	73	17	;	;	PUNCT
ejpam-3532	73	18	see	see	VERB
ejpam-3532	73	19	table	table	NOUN
ejpam-3532	73	20	1	1	NUM
ejpam-3532	73	21	.	.	NUM
ejpam-3532	73	22	µrf	µrf	VERB
ejpam-3532	73	23	humans	human	NOUN
ejpam-3532	73	24	with	with	ADP
ejpam-3532	73	25	high	high	ADJ
ejpam-3532	73	26	level	level	NOUN
ejpam-3532	73	27	of	of	ADP
ejpam-3532	73	28	immunity	immunity	NOUN
ejpam-3532	73	29	will	will	AUX
ejpam-3532	73	30	leave	leave	VERB
ejpam-3532	73	31	rf	rf	NOUN
ejpam-3532	73	32	compartment	compartment	NOUN
ejpam-3532	73	33	and	and	CCONJ
ejpam-3532	73	34	enter	enter	VERB
ejpam-3532	73	35	the	the	DET
ejpam-3532	73	36	compartment	compartment	NOUN
ejpam-3532	73	37	rw	rw	NOUN
ejpam-3532	73	38	of	of	ADP
ejpam-3532	73	39	intermediate	intermediate	ADJ
ejpam-3532	73	40	level	level	NOUN
ejpam-3532	73	41	of	of	ADP
ejpam-3532	73	42	immunity	immunity	NOUN
ejpam-3532	73	43	while	while	SCONJ
ejpam-3532	73	44	λrw	λrw	NUM
ejpam-3532	73	45	humans	human	NOUN
ejpam-3532	73	46	leave	leave	VERB
ejpam-3532	73	47	rw	rw	NOUN
ejpam-3532	73	48	compartment	compartment	NOUN
ejpam-3532	73	49	and	and	CCONJ
ejpam-3532	73	50	enter	enter	VERB
ejpam-3532	73	51	the	the	DET
ejpam-3532	73	52	compartment	compartment	NOUN
ejpam-3532	73	53	rc	rc	PROPN
ejpam-3532	73	54	of	of	ADP
ejpam-3532	73	55	critically	critically	ADV
ejpam-3532	73	56	low	low	ADJ
ejpam-3532	73	57	level	level	NOUN
ejpam-3532	73	58	of	of	ADP
ejpam-3532	73	59	immunity	immunity	NOUN
ejpam-3532	73	60	and	and	CCONJ
ejpam-3532	73	61	σrc	σrc	PROPN
ejpam-3532	73	62	humans	human	NOUN
ejpam-3532	73	63	leave	leave	VERB
ejpam-3532	73	64	rc	rc	PROPN
ejpam-3532	73	65	compartment	compartment	NOUN
ejpam-3532	73	66	and	and	CCONJ
ejpam-3532	73	67	return	return	VERB
ejpam-3532	73	68	in	in	ADP
ejpam-3532	73	69	the	the	DET
ejpam-3532	73	70	susceptible	susceptible	ADJ
ejpam-3532	73	71	compartment	compartment	NOUN
ejpam-3532	73	72	s.	s.	PROPN
ejpam-3532	73	73	when	when	SCONJ
ejpam-3532	73	74	there	there	PRON
ejpam-3532	73	75	is	be	VERB
ejpam-3532	73	76	new	new	ADJ
ejpam-3532	73	77	exposure	exposure	NOUN
ejpam-3532	73	78	some	some	DET
ejpam-3532	73	79	humans	human	NOUN
ejpam-3532	73	80	in	in	ADP
ejpam-3532	73	81	the	the	DET
ejpam-3532	73	82	rw	rw	NOUN
ejpam-3532	73	83	and	and	CCONJ
ejpam-3532	73	84	rc	rc	PROPN
ejpam-3532	73	85	compartments	compartment	NOUN
ejpam-3532	73	86	get	get	VERB
ejpam-3532	73	87	their	their	PRON
ejpam-3532	73	88	immune	immune	ADJ
ejpam-3532	73	89	system	system	NOUN
ejpam-3532	73	90	boosted	boost	VERB
ejpam-3532	73	91	.	.	PUNCT
ejpam-3532	74	1	thus	thus	ADV
ejpam-3532	74	2	βv	βv	NUM
ejpam-3532	74	3	iv	iv	NUM
ejpam-3532	74	4	nh	nh	PROPN
ejpam-3532	74	5	(	(	PUNCT
ejpam-3532	74	6	1	1	NUM
ejpam-3532	74	7	−	−	PROPN
ejpam-3532	74	8	θ)rc	θ)rc	PROPN
ejpam-3532	74	9	humans	human	NOUN
ejpam-3532	74	10	of	of	ADP
ejpam-3532	74	11	rc	rc	PROPN
ejpam-3532	74	12	compartment	compartment	NOUN
ejpam-3532	74	13	and	and	CCONJ
ejpam-3532	74	14	βh	βh	NUM
ejpam-3532	74	15	iv	iv	NUM
ejpam-3532	74	16	nh	nh	PROPN
ejpam-3532	74	17	rw	rw	PROPN
ejpam-3532	74	18	humans	human	NOUN
ejpam-3532	74	19	of	of	ADP
ejpam-3532	74	20	rw	rw	PROPN
ejpam-3532	74	21	return	return	NOUN
ejpam-3532	74	22	into	into	ADP
ejpam-3532	74	23	rf	rf	ADJ
ejpam-3532	74	24	compartment	compartment	NOUN
ejpam-3532	74	25	;	;	PUNCT
ejpam-3532	74	26	βh	βh	NUM
ejpam-3532	74	27	iv	iv	NUM
ejpam-3532	74	28	nh	nh	X
ejpam-3532	74	29	θrc	θrc	PROPN
ejpam-3532	74	30	humans	human	NOUN
ejpam-3532	74	31	of	of	ADP
ejpam-3532	74	32	rc	rc	PROPN
ejpam-3532	74	33	compartment	compartment	NOUN
ejpam-3532	74	34	return	return	NOUN
ejpam-3532	74	35	into	into	ADP
ejpam-3532	74	36	rw	rw	NOUN
ejpam-3532	74	37	compartment	compartment	NOUN
ejpam-3532	74	38	.	.	PUNCT
ejpam-3532	75	1	per	per	ADP
ejpam-3532	75	2	time	time	NOUN
ejpam-3532	75	3	unit	unit	NOUN
ejpam-3532	75	4	,	,	PUNCT
ejpam-3532	75	5	fv	fv	PROPN
ejpam-3532	75	6	sv	sv	PROPN
ejpam-3532	75	7	susceptible	susceptible	ADJ
ejpam-3532	75	8	mosquitoes	mosquito	NOUN
ejpam-3532	75	9	and	and	CCONJ
ejpam-3532	75	10	fv	fv	PROPN
ejpam-3532	75	11	iv	iv	NUM
ejpam-3532	75	12	infected	infected	ADJ
ejpam-3532	75	13	mosquitoes	mosquito	NOUN
ejpam-3532	75	14	leave	leave	VERB
ejpam-3532	75	15	the	the	DET
ejpam-3532	75	16	famane	famane	NOUN
ejpam-3532	75	17	kambiré	kambiré	PROPN
ejpam-3532	75	18	et	et	PROPN
ejpam-3532	75	19	al	al	PROPN
ejpam-3532	75	20	.	.	PUNCT
ejpam-3532	75	21	/	/	SYM
ejpam-3532	75	22	eur	eur	PROPN
ejpam-3532	75	23	.	.	PUNCT
ejpam-3532	76	1	j.	j.	PROPN
ejpam-3532	76	2	pure	pure	PROPN
ejpam-3532	76	3	appl	appl	PROPN
ejpam-3532	76	4	.	.	PROPN
ejpam-3532	76	5	math	math	PROPN
ejpam-3532	76	6	,	,	PUNCT
ejpam-3532	76	7	12	12	NUM
ejpam-3532	76	8	(	(	PUNCT
ejpam-3532	76	9	4	4	NUM
ejpam-3532	76	10	)	)	PUNCT
ejpam-3532	76	11	(	(	PUNCT
ejpam-3532	76	12	2019	2019	NUM
ejpam-3532	76	13	)	)	PUNCT
ejpam-3532	76	14	,	,	PUNCT
ejpam-3532	76	15	1533	1533	NUM
ejpam-3532	76	16	-	-	SYM
ejpam-3532	76	17	1552	1552	NUM
ejpam-3532	76	18	1536	1536	NUM
ejpam-3532	76	19	table	table	NOUN
ejpam-3532	76	20	2	2	NUM
ejpam-3532	76	21	:	:	PUNCT
ejpam-3532	76	22	parameters	parameter	NOUN
ejpam-3532	76	23	used	use	VERB
ejpam-3532	76	24	in	in	ADP
ejpam-3532	76	25	the	the	DET
ejpam-3532	76	26	model	model	NOUN
ejpam-3532	76	27	parameters	parameter	NOUN
ejpam-3532	76	28	meaning	mean	VERB
ejpam-3532	76	29	bh	bh	PROPN
ejpam-3532	76	30	humans	human	NOUN
ejpam-3532	76	31	birth	birth	NOUN
ejpam-3532	76	32	rate	rate	NOUN
ejpam-3532	76	33	.	.	PUNCT
ejpam-3532	77	1	bv	bv	PROPN
ejpam-3532	77	2	mosquitoes	mosquitoe	VERB
ejpam-3532	77	3	birth	birth	NOUN
ejpam-3532	77	4	rate	rate	NOUN
ejpam-3532	77	5	.	.	PUNCT
ejpam-3532	78	1	pvh	pvh	PROPN
ejpam-3532	78	2	probability	probability	NOUN
ejpam-3532	78	3	of	of	ADP
ejpam-3532	78	4	virus	virus	NOUN
ejpam-3532	78	5	transmission	transmission	NOUN
ejpam-3532	78	6	from	from	ADP
ejpam-3532	78	7	infected	infected	ADJ
ejpam-3532	78	8	mosquitoe	mosquitoe	NOUN
ejpam-3532	78	9	to	to	AUX
ejpam-3532	78	10	susceptible	susceptible	ADJ
ejpam-3532	78	11	human	human	NOUN
ejpam-3532	78	12	.	.	PUNCT
ejpam-3532	79	1	piv	piv	NOUN
ejpam-3532	79	2	probability	probability	NOUN
ejpam-3532	79	3	of	of	ADP
ejpam-3532	79	4	virus	virus	NOUN
ejpam-3532	79	5	transmission	transmission	NOUN
ejpam-3532	79	6	from	from	ADP
ejpam-3532	79	7	an	an	DET
ejpam-3532	79	8	infected	infect	VERB
ejpam-3532	79	9	human	human	NOUN
ejpam-3532	79	10	to	to	ADP
ejpam-3532	79	11	a	a	DET
ejpam-3532	79	12	susceptible	susceptible	ADJ
ejpam-3532	79	13	mosquito	mosquito	NOUN
ejpam-3532	79	14	.	.	PUNCT
ejpam-3532	80	1	nv	nv	ADJ
ejpam-3532	80	2	number	number	NOUN
ejpam-3532	80	3	of	of	ADP
ejpam-3532	80	4	bites	bite	NOUN
ejpam-3532	80	5	done	do	VERB
ejpam-3532	80	6	by	by	ADP
ejpam-3532	80	7	a	a	DET
ejpam-3532	80	8	mosquito	mosquito	NOUN
ejpam-3532	80	9	on	on	ADP
ejpam-3532	80	10	the	the	DET
ejpam-3532	80	11	whole	whole	ADJ
ejpam-3532	80	12	human	human	ADJ
ejpam-3532	80	13	population	population	NOUN
ejpam-3532	80	14	.	.	PUNCT
ejpam-3532	81	1	βh	βh	ADP
ejpam-3532	81	2	average	average	ADJ
ejpam-3532	81	3	number	number	NOUN
ejpam-3532	81	4	of	of	ADP
ejpam-3532	81	5	bites	bite	NOUN
ejpam-3532	81	6	that	that	PRON
ejpam-3532	81	7	cause	cause	VERB
ejpam-3532	81	8	a	a	DET
ejpam-3532	81	9	viruses	virus	NOUN
ejpam-3532	81	10	transmission	transmission	NOUN
ejpam-3532	81	11	from	from	ADP
ejpam-3532	81	12	infected	infected	ADJ
ejpam-3532	81	13	mosquitoes	mosquito	NOUN
ejpam-3532	81	14	to	to	PART
ejpam-3532	81	15	susceptible	susceptible	ADJ
ejpam-3532	81	16	humans	human	NOUN
ejpam-3532	81	17	.	.	PUNCT
ejpam-3532	82	1	βh	βh	NOUN
ejpam-3532	83	1	=	=	SYM
ejpam-3532	83	2	nvpvh	nvpvh	NOUN
ejpam-3532	83	3	.	.	PUNCT
ejpam-3532	84	1	βv	βv	X
ejpam-3532	84	2	average	average	ADJ
ejpam-3532	84	3	number	number	NOUN
ejpam-3532	84	4	of	of	ADP
ejpam-3532	84	5	bites	bite	NOUN
ejpam-3532	84	6	that	that	PRON
ejpam-3532	84	7	cause	cause	VERB
ejpam-3532	84	8	a	a	DET
ejpam-3532	84	9	viruses	virus	NOUN
ejpam-3532	84	10	transmission	transmission	NOUN
ejpam-3532	84	11	from	from	ADP
ejpam-3532	84	12	infected	infected	ADJ
ejpam-3532	84	13	humans	human	NOUN
ejpam-3532	84	14	.	.	PUNCT
ejpam-3532	85	1	to	to	ADP
ejpam-3532	85	2	susceptible	susceptible	ADJ
ejpam-3532	85	3	mosquitoes	mosquito	NOUN
ejpam-3532	85	4	.	.	PUNCT
ejpam-3532	86	1	βv	βv	PUNCT
ejpam-3532	86	2	=	=	ADJ
ejpam-3532	86	3	nvpiv	nvpiv	ADJ
ejpam-3532	86	4	.	.	PUNCT
ejpam-3532	87	1	dh	dh	NOUN
ejpam-3532	87	2	density	density	PROPN
ejpam-3532	87	3	independent	independent	ADJ
ejpam-3532	87	4	part	part	NOUN
ejpam-3532	87	5	of	of	ADP
ejpam-3532	87	6	the	the	DET
ejpam-3532	87	7	death	death	NOUN
ejpam-3532	87	8	rate	rate	NOUN
ejpam-3532	87	9	for	for	ADP
ejpam-3532	87	10	humans	human	NOUN
ejpam-3532	87	11	.	.	PUNCT
ejpam-3532	88	1	d2h	d2h	PROPN
ejpam-3532	88	2	density	density	NOUN
ejpam-3532	88	3	dependent	dependent	ADJ
ejpam-3532	88	4	part	part	NOUN
ejpam-3532	88	5	of	of	ADP
ejpam-3532	88	6	the	the	DET
ejpam-3532	88	7	death	death	NOUN
ejpam-3532	88	8	rate	rate	NOUN
ejpam-3532	88	9	for	for	ADP
ejpam-3532	88	10	humans	human	NOUN
ejpam-3532	88	11	.	.	PUNCT
ejpam-3532	89	1	dv	dv	PROPN
ejpam-3532	89	2	density	density	PROPN
ejpam-3532	89	3	independent	independent	ADJ
ejpam-3532	89	4	part	part	NOUN
ejpam-3532	89	5	of	of	ADP
ejpam-3532	89	6	the	the	DET
ejpam-3532	89	7	death	death	NOUN
ejpam-3532	89	8	rate	rate	NOUN
ejpam-3532	89	9	for	for	ADP
ejpam-3532	89	10	mosquitoes	mosquito	NOUN
ejpam-3532	89	11	.	.	PUNCT
ejpam-3532	90	1	d2v	d2v	VERB
ejpam-3532	90	2	density	density	NOUN
ejpam-3532	90	3	dependent	dependent	ADJ
ejpam-3532	90	4	part	part	NOUN
ejpam-3532	90	5	of	of	ADP
ejpam-3532	90	6	the	the	DET
ejpam-3532	90	7	death	death	NOUN
ejpam-3532	90	8	rate	rate	NOUN
ejpam-3532	90	9	for	for	ADP
ejpam-3532	90	10	mosquitoes	mosquito	NOUN
ejpam-3532	90	11	.	.	PUNCT
ejpam-3532	91	1	di	di	PROPN
ejpam-3532	91	2	chikungunya	chikungunya	PROPN
ejpam-3532	91	3	induced	induce	VERB
ejpam-3532	91	4	death	death	NOUN
ejpam-3532	91	5	rate	rate	NOUN
ejpam-3532	91	6	in	in	ADP
ejpam-3532	91	7	human	human	ADJ
ejpam-3532	91	8	population	population	NOUN
ejpam-3532	91	9	γ	γ	PROPN
ejpam-3532	91	10	recovery	recovery	NOUN
ejpam-3532	91	11	rate	rate	NOUN
ejpam-3532	91	12	.	.	PUNCT
ejpam-3532	92	1	1	1	NUM
ejpam-3532	92	2	γ	γ	NOUN
ejpam-3532	92	3	is	be	AUX
ejpam-3532	92	4	the	the	DET
ejpam-3532	92	5	average	average	ADJ
ejpam-3532	92	6	duration	duration	NOUN
ejpam-3532	92	7	of	of	ADP
ejpam-3532	92	8	the	the	DET
ejpam-3532	92	9	infectious	infectious	ADJ
ejpam-3532	92	10	period	period	NOUN
ejpam-3532	92	11	.	.	PUNCT
ejpam-3532	93	1	µ	µ	DET
ejpam-3532	93	2	immunity	immunity	NOUN
ejpam-3532	93	3	decay	decay	NOUN
ejpam-3532	93	4	rate	rate	NOUN
ejpam-3532	93	5	from	from	ADP
ejpam-3532	93	6	high	high	ADJ
ejpam-3532	93	7	level	level	NOUN
ejpam-3532	93	8	rf	rf	VERB
ejpam-3532	93	9	to	to	ADP
ejpam-3532	93	10	intermediate	intermediate	ADJ
ejpam-3532	93	11	level	level	NOUN
ejpam-3532	93	12	rw	rw	NOUN
ejpam-3532	93	13	.	.	PUNCT
ejpam-3532	94	1	λ	λ	NOUN
ejpam-3532	94	2	immunity	immunity	NOUN
ejpam-3532	94	3	decay	decay	NOUN
ejpam-3532	94	4	rate	rate	NOUN
ejpam-3532	94	5	from	from	ADP
ejpam-3532	94	6	intermediate	intermediate	ADJ
ejpam-3532	94	7	level	level	NOUN
ejpam-3532	94	8	rw	rw	NOUN
ejpam-3532	94	9	to	to	ADP
ejpam-3532	94	10	critially	critially	ADV
ejpam-3532	94	11	low	low	ADJ
ejpam-3532	94	12	level	level	NOUN
ejpam-3532	94	13	rc	rc	PROPN
ejpam-3532	94	14	.	.	PUNCT
ejpam-3532	95	1	σ	σ	NOUN
ejpam-3532	95	2	immunity	immunity	NOUN
ejpam-3532	95	3	loss	loss	NOUN
ejpam-3532	95	4	rate	rate	NOUN
ejpam-3532	95	5	.	.	PUNCT
ejpam-3532	96	1	θ	θ	PROPN
ejpam-3532	96	2	immune	immune	ADJ
ejpam-3532	96	3	system	system	NOUN
ejpam-3532	96	4	boosting	boost	VERB
ejpam-3532	96	5	probability	probability	NOUN
ejpam-3532	96	6	from	from	ADP
ejpam-3532	96	7	critially	critially	ADV
ejpam-3532	96	8	low	low	ADJ
ejpam-3532	96	9	level	level	NOUN
ejpam-3532	96	10	rc	rc	PROPN
ejpam-3532	96	11	to	to	ADP
ejpam-3532	96	12	intermediate	intermediate	ADJ
ejpam-3532	96	13	level	level	NOUN
ejpam-3532	96	14	rw	rw	NOUN
ejpam-3532	96	15	.	.	PUNCT
ejpam-3532	97	1	1−	1−	NUM
ejpam-3532	97	2	θ	θ	NOUN
ejpam-3532	97	3	is	be	AUX
ejpam-3532	97	4	immune	immune	ADJ
ejpam-3532	97	5	system	system	NOUN
ejpam-3532	97	6	boosting	boost	VERB
ejpam-3532	97	7	probability	probability	NOUN
ejpam-3532	97	8	from	from	ADP
ejpam-3532	97	9	rc	rc	PROPN
ejpam-3532	97	10	to	to	ADP
ejpam-3532	97	11	high	high	ADJ
ejpam-3532	97	12	level	level	NOUN
ejpam-3532	97	13	rf	rf	NOUN
ejpam-3532	97	14	.	.	PUNCT
ejpam-3532	98	1	mosquito	mosquito	ADJ
ejpam-3532	98	2	population	population	NOUN
ejpam-3532	98	3	due	due	ADP
ejpam-3532	98	4	to	to	ADP
ejpam-3532	98	5	death	death	NOUN
ejpam-3532	98	6	.	.	PUNCT
ejpam-3532	99	1	fhs	fhs	PROPN
ejpam-3532	99	2	,	,	PUNCT
ejpam-3532	99	3	(	(	PUNCT
ejpam-3532	99	4	fh	fh	PROPN
ejpam-3532	99	5	+	+	CCONJ
ejpam-3532	99	6	di)i	di)i	PROPN
ejpam-3532	99	7	,	,	PUNCT
ejpam-3532	99	8	fhrf	fhrf	NOUN
ejpam-3532	99	9	,	,	PUNCT
ejpam-3532	99	10	fhrw	fhrw	NOUN
ejpam-3532	99	11	and	and	CCONJ
ejpam-3532	99	12	fhrc	fhrc	PROPN
ejpam-3532	99	13	humans	human	NOUN
ejpam-3532	99	14	die	die	VERB
ejpam-3532	99	15	respevtively	respevtively	ADV
ejpam-3532	99	16	in	in	ADP
ejpam-3532	99	17	s	s	PROPN
ejpam-3532	99	18	,	,	PUNCT
ejpam-3532	99	19	i	i	PRON
ejpam-3532	99	20	,	,	PUNCT
ejpam-3532	99	21	rf	rf	PRON
ejpam-3532	99	22	,	,	PUNCT
ejpam-3532	99	23	rw	rw	PROPN
ejpam-3532	99	24	and	and	CCONJ
ejpam-3532	99	25	rc	rc	PROPN
ejpam-3532	99	26	compartments	compartment	NOUN
ejpam-3532	99	27	.	.	PUNCT
ejpam-3532	100	1	the	the	DET
ejpam-3532	100	2	quantities	quantity	NOUN
ejpam-3532	100	3	used	use	VERB
ejpam-3532	100	4	in	in	ADP
ejpam-3532	100	5	the	the	DET
ejpam-3532	100	6	interactions	interaction	NOUN
ejpam-3532	100	7	are	be	AUX
ejpam-3532	100	8	all	all	ADV
ejpam-3532	100	9	positive	positive	ADJ
ejpam-3532	100	10	.	.	PUNCT
ejpam-3532	101	1	the	the	DET
ejpam-3532	101	2	interactions	interaction	NOUN
ejpam-3532	101	3	described	describe	VERB
ejpam-3532	101	4	are	be	AUX
ejpam-3532	101	5	illustrated	illustrate	VERB
ejpam-3532	101	6	by	by	ADP
ejpam-3532	101	7	figure	figure	NOUN
ejpam-3532	101	8	1	1	NUM
ejpam-3532	101	9	.	.	PUNCT
ejpam-3532	102	1	famane	famane	PROPN
ejpam-3532	102	2	kambiré	kambiré	PROPN
ejpam-3532	102	3	et	et	PROPN
ejpam-3532	103	1	al	al	PROPN
ejpam-3532	103	2	.	.	PUNCT
ejpam-3532	103	3	/	/	SYM
ejpam-3532	103	4	eur	eur	PROPN
ejpam-3532	103	5	.	.	PUNCT
ejpam-3532	104	1	j.	j.	PROPN
ejpam-3532	104	2	pure	pure	PROPN
ejpam-3532	104	3	appl	appl	PROPN
ejpam-3532	104	4	.	.	PROPN
ejpam-3532	104	5	math	math	PROPN
ejpam-3532	104	6	,	,	PUNCT
ejpam-3532	104	7	12	12	NUM
ejpam-3532	104	8	(	(	PUNCT
ejpam-3532	104	9	4	4	NUM
ejpam-3532	104	10	)	)	PUNCT
ejpam-3532	104	11	(	(	PUNCT
ejpam-3532	104	12	2019	2019	NUM
ejpam-3532	104	13	)	)	PUNCT
ejpam-3532	104	14	,	,	PUNCT
ejpam-3532	104	15	1533	1533	NUM
ejpam-3532	104	16	-	-	SYM
ejpam-3532	104	17	1552	1552	NUM
ejpam-3532	104	18	1537	1537	NUM
ejpam-3532	104	19	figure	figure	NOUN
ejpam-3532	104	20	1	1	NUM
ejpam-3532	104	21	:	:	PUNCT
ejpam-3532	104	22	a	a	DET
ejpam-3532	104	23	compartmental	compartmental	ADJ
ejpam-3532	104	24	model	model	NOUN
ejpam-3532	104	25	of	of	ADP
ejpam-3532	104	26	the	the	DET
ejpam-3532	104	27	chikungunya	chikungunya	NOUN
ejpam-3532	104	28	virus	virus	NOUN
ejpam-3532	104	29	transmission	transmission	NOUN
ejpam-3532	104	30	.	.	PUNCT
ejpam-3532	105	1	the	the	DET
ejpam-3532	105	2	arrows	arrow	NOUN
ejpam-3532	105	3	with	with	ADP
ejpam-3532	105	4	full	full	ADJ
ejpam-3532	105	5	lines	line	NOUN
ejpam-3532	105	6	represent	represent	VERB
ejpam-3532	105	7	the	the	DET
ejpam-3532	105	8	transfers	transfer	NOUN
ejpam-3532	105	9	of	of	ADP
ejpam-3532	105	10	individuals	individual	NOUN
ejpam-3532	105	11	.	.	PUNCT
ejpam-3532	106	1	the	the	DET
ejpam-3532	106	2	arrows	arrow	NOUN
ejpam-3532	106	3	with	with	ADP
ejpam-3532	106	4	dotted	dotted	ADJ
ejpam-3532	106	5	lines	line	NOUN
ejpam-3532	106	6	indicate	indicate	VERB
ejpam-3532	106	7	the	the	DET
ejpam-3532	106	8	direction	direction	NOUN
ejpam-3532	106	9	of	of	ADP
ejpam-3532	106	10	the	the	DET
ejpam-3532	106	11	infection	infection	NOUN
ejpam-3532	106	12	:	:	PUNCT
ejpam-3532	106	13	from	from	ADP
ejpam-3532	106	14	humans	human	NOUN
ejpam-3532	106	15	to	to	ADP
ejpam-3532	106	16	mosquitoes	mosquito	NOUN
ejpam-3532	106	17	and	and	CCONJ
ejpam-3532	106	18	from	from	ADP
ejpam-3532	106	19	mosquitoes	mosquito	NOUN
ejpam-3532	106	20	to	to	ADP
ejpam-3532	106	21	humans	human	NOUN
ejpam-3532	106	22	.	.	PUNCT
ejpam-3532	107	1	the	the	DET
ejpam-3532	107	2	red	red	ADJ
ejpam-3532	107	3	arrows	arrow	NOUN
ejpam-3532	107	4	with	with	ADP
ejpam-3532	107	5	dotted	dotted	ADJ
ejpam-3532	107	6	lines	line	NOUN
ejpam-3532	107	7	indicate	indicate	VERB
ejpam-3532	107	8	that	that	DET
ejpam-3532	107	9	immune	immune	ADJ
ejpam-3532	107	10	system	system	NOUN
ejpam-3532	107	11	boost	boost	NOUN
ejpam-3532	107	12	is	be	AUX
ejpam-3532	107	13	due	due	ADJ
ejpam-3532	107	14	to	to	ADP
ejpam-3532	107	15	bites	bite	NOUN
ejpam-3532	107	16	of	of	ADP
ejpam-3532	107	17	infected	infected	ADJ
ejpam-3532	107	18	mosquitoes	mosquito	NOUN
ejpam-3532	107	19	.	.	PUNCT
ejpam-3532	108	1	2.3	2.3	NUM
ejpam-3532	108	2	.	.	PUNCT
ejpam-3532	109	1	the	the	DET
ejpam-3532	109	2	mathematical	mathematical	ADJ
ejpam-3532	109	3	model	model	NOUN
ejpam-3532	109	4	using	use	VERB
ejpam-3532	109	5	the	the	DET
ejpam-3532	109	6	interactions	interaction	NOUN
ejpam-3532	109	7	illustrated	illustrate	VERB
ejpam-3532	109	8	by	by	ADP
ejpam-3532	109	9	figure	figure	NOUN
ejpam-3532	109	10	1	1	NUM
ejpam-3532	109	11	,	,	PUNCT
ejpam-3532	109	12	the	the	DET
ejpam-3532	109	13	dynamics	dynamic	NOUN
ejpam-3532	109	14	of	of	ADP
ejpam-3532	109	15	the	the	DET
ejpam-3532	109	16	transmission	transmission	NOUN
ejpam-3532	109	17	given	give	VERB
ejpam-3532	109	18	by	by	ADP
ejpam-3532	109	19	the	the	DET
ejpam-3532	109	20	system	system	NOUN
ejpam-3532	109	21	of	of	ADP
ejpam-3532	109	22	non	non	ADJ
ejpam-3532	109	23	linear	linear	PROPN
ejpam-3532	109	24	differential	differential	ADJ
ejpam-3532	109	25	equations	equation	NOUN
ejpam-3532	109	26	(	(	PUNCT
ejpam-3532	109	27	1).	1).	NUM
ejpam-3532	109	28	ds	ds	NOUN
ejpam-3532	109	29	dt	dt	NOUN
ejpam-3532	109	30	=	=	SYM
ejpam-3532	109	31	bhnh	bhnh	NOUN
ejpam-3532	109	32	+	+	CCONJ
ejpam-3532	109	33	σrc	σrc	PROPN
ejpam-3532	109	34	−	−	PROPN
ejpam-3532	109	35	βh	βh	PROPN
ejpam-3532	109	36	iv	iv	PROPN
ejpam-3532	109	37	nh	nh	PROPN
ejpam-3532	109	38	s	s	PART
ejpam-3532	109	39	−	−	PROPN
ejpam-3532	109	40	dhs	dhs	PROPN
ejpam-3532	109	41	−	−	PROPN
ejpam-3532	109	42	d2hnhs	d2hnhs	PROPN
ejpam-3532	109	43	di	di	NOUN
ejpam-3532	109	44	dt	dt	NOUN
ejpam-3532	110	1	=	=	PUNCT
ejpam-3532	110	2	βh	βh	PROPN
ejpam-3532	110	3	iv	iv	NUM
ejpam-3532	110	4	nh	nh	PROPN
ejpam-3532	110	5	s	s	PART
ejpam-3532	110	6	−	−	PROPN
ejpam-3532	110	7	(	(	PUNCT
ejpam-3532	110	8	γ	γ	X
ejpam-3532	110	9	+	+	NOUN
ejpam-3532	110	10	dh	dh	NOUN
ejpam-3532	111	1	+	+	CCONJ
ejpam-3532	111	2	di)i	di)i	PROPN
ejpam-3532	111	3	−	−	PROPN
ejpam-3532	111	4	d2hnhi	d2hnhi	NOUN
ejpam-3532	111	5	drf	drf	NOUN
ejpam-3532	111	6	dt	dt	NOUN
ejpam-3532	111	7	=	=	SYM
ejpam-3532	111	8	γi	γi	PROPN
ejpam-3532	111	9	−	−	PROPN
ejpam-3532	111	10	(	(	PUNCT
ejpam-3532	111	11	µ+	µ+	NOUN
ejpam-3532	111	12	dh)rf	dh)rf	PUNCT
ejpam-3532	111	13	−	−	PROPN
ejpam-3532	112	1	d2hnhrf	d2hnhrf	PROPN
ejpam-3532	112	2	+	+	CCONJ
ejpam-3532	112	3	βh	βh	PROPN
ejpam-3532	112	4	iv	iv	NUM
ejpam-3532	112	5	nh	nh	PROPN
ejpam-3532	112	6	(	(	PUNCT
ejpam-3532	112	7	(	(	PUNCT
ejpam-3532	112	8	1−	1−	NUM
ejpam-3532	112	9	θ)rc	θ)rc	PROPN
ejpam-3532	112	10	+	+	NOUN
ejpam-3532	112	11	rw	rw	NOUN
ejpam-3532	112	12	)	)	PUNCT
ejpam-3532	112	13	drw	drw	PROPN
ejpam-3532	112	14	dt	dt	PROPN
ejpam-3532	113	1	=	=	PRON
ejpam-3532	113	2	µrf	µrf	VERB
ejpam-3532	113	3	−	−	PROPN
ejpam-3532	113	4	(	(	PUNCT
ejpam-3532	113	5	dh	dh	NOUN
ejpam-3532	114	1	+	+	CCONJ
ejpam-3532	114	2	λ)rw	λ)rw	PROPN
ejpam-3532	114	3	−	−	NOUN
ejpam-3532	114	4	d2hnhrw	d2hnhrw	NOUN
ejpam-3532	114	5	+	+	CCONJ
ejpam-3532	114	6	βh	βh	PROPN
ejpam-3532	114	7	iv	iv	NUM
ejpam-3532	114	8	nh	nh	PROPN
ejpam-3532	114	9	(	(	PUNCT
ejpam-3532	114	10	θrc	θrc	PROPN
ejpam-3532	114	11	−rw	−rw	PROPN
ejpam-3532	114	12	)	)	PUNCT
ejpam-3532	115	1	drc	drc	PROPN
ejpam-3532	115	2	dt	dt	X
ejpam-3532	116	1	=	=	PUNCT
ejpam-3532	116	2	λrw	λrw	INTJ
ejpam-3532	116	3	−	−	PROPN
ejpam-3532	117	1	(	(	PUNCT
ejpam-3532	117	2	dh	dh	NOUN
ejpam-3532	117	3	+	+	PROPN
ejpam-3532	118	1	σ)rc	σ)rc	PROPN
ejpam-3532	118	2	−	−	PROPN
ejpam-3532	118	3	d2hnhrc	d2hnhrc	VERB
ejpam-3532	118	4	−	−	PROPN
ejpam-3532	118	5	βh	βh	INTJ
ejpam-3532	118	6	iv	iv	PROPN
ejpam-3532	118	7	nh	nh	PROPN
ejpam-3532	118	8	rc	rc	PROPN
ejpam-3532	118	9	dsv	dsv	PROPN
ejpam-3532	118	10	dt	dt	PROPN
ejpam-3532	119	1	=	=	PROPN
ejpam-3532	119	2	bvnv	bvnv	PROPN
ejpam-3532	119	3	−	−	PROPN
ejpam-3532	119	4	dv	dv	PROPN
ejpam-3532	119	5	sv	sv	PROPN
ejpam-3532	120	1	−	−	PROPN
ejpam-3532	120	2	d2vnv	d2vnv	PROPN
ejpam-3532	120	3	sv	sv	INTJ
ejpam-3532	121	1	−	−	NOUN
ejpam-3532	121	2	βv	βv	INTJ
ejpam-3532	122	1	i	i	PRON
ejpam-3532	122	2	nh	nh	PROPN
ejpam-3532	122	3	sv	sv	INTJ
ejpam-3532	122	4	div	div	X
ejpam-3532	122	5	dt	dt	NOUN
ejpam-3532	123	1	=	=	PUNCT
ejpam-3532	123	2	βv	βv	INTJ
ejpam-3532	124	1	i	i	PRON
ejpam-3532	124	2	nh	nh	PROPN
ejpam-3532	124	3	sv	sv	INTJ
ejpam-3532	125	1	−	−	PROPN
ejpam-3532	125	2	dv	dv	PROPN
ejpam-3532	125	3	iv	iv	NUM
ejpam-3532	125	4	−	−	PROPN
ejpam-3532	125	5	d2vnv	d2vnv	PROPN
ejpam-3532	125	6	iv	iv	NUM
ejpam-3532	125	7	dnh	dnh	NOUN
ejpam-3532	125	8	dt	dt	X
ejpam-3532	126	1	=	=	SYM
ejpam-3532	126	2	(	(	PUNCT
ejpam-3532	126	3	bh	bh	NOUN
ejpam-3532	126	4	−	−	PROPN
ejpam-3532	126	5	dh	dh	PROPN
ejpam-3532	126	6	)	)	PUNCT
ejpam-3532	126	7	1−	1−	PROPN
ejpam-3532	126	8	nh	nh	PROPN
ejpam-3532	126	9	bh	bh	PROPN
ejpam-3532	127	1	−	−	PROPN
ejpam-3532	127	2	dh	dh	PROPN
ejpam-3532	127	3	d2h	d2h	PROPN
ejpam-3532	127	4	nh	nh	VERB
ejpam-3532	127	5	−	−	PROPN
ejpam-3532	127	6	dii	dii	PROPN
ejpam-3532	127	7	dnv	dnv	NOUN
ejpam-3532	127	8	dt	dt	PROPN
ejpam-3532	128	1	=	=	PROPN
ejpam-3532	128	2	(	(	PUNCT
ejpam-3532	128	3	bv	bv	PROPN
ejpam-3532	128	4	−	−	PROPN
ejpam-3532	128	5	dv	dv	PROPN
ejpam-3532	128	6	)	)	PUNCT
ejpam-3532	128	7	1−	1−	PROPN
ejpam-3532	128	8	nv	nv	PROPN
ejpam-3532	128	9	bv	bv	PROPN
ejpam-3532	129	1	−	−	PROPN
ejpam-3532	129	2	dv	dv	PROPN
ejpam-3532	129	3	d2v	d2v	PROPN
ejpam-3532	129	4	nv	nv	INTJ
ejpam-3532	129	5	(	(	PUNCT
ejpam-3532	129	6	1	1	X
ejpam-3532	129	7	)	)	PUNCT
ejpam-3532	129	8	famane	famane	NOUN
ejpam-3532	129	9	kambiré	kambiré	PROPN
ejpam-3532	129	10	et	et	PROPN
ejpam-3532	130	1	al	al	PROPN
ejpam-3532	130	2	.	.	PUNCT
ejpam-3532	130	3	/	/	SYM
ejpam-3532	130	4	eur	eur	PROPN
ejpam-3532	130	5	.	.	PUNCT
ejpam-3532	131	1	j.	j.	PROPN
ejpam-3532	131	2	pure	pure	PROPN
ejpam-3532	131	3	appl	appl	PROPN
ejpam-3532	131	4	.	.	PROPN
ejpam-3532	131	5	math	math	PROPN
ejpam-3532	131	6	,	,	PUNCT
ejpam-3532	131	7	12	12	NUM
ejpam-3532	131	8	(	(	PUNCT
ejpam-3532	131	9	4	4	NUM
ejpam-3532	131	10	)	)	PUNCT
ejpam-3532	131	11	(	(	PUNCT
ejpam-3532	131	12	2019	2019	NUM
ejpam-3532	131	13	)	)	PUNCT
ejpam-3532	131	14	,	,	PUNCT
ejpam-3532	131	15	1533	1533	NUM
ejpam-3532	131	16	-	-	SYM
ejpam-3532	131	17	1552	1552	NUM
ejpam-3532	131	18	1538	1538	NUM
ejpam-3532	132	1	where	where	SCONJ
ejpam-3532	132	2	βh	βh	ADP
ejpam-3532	132	3	=	=	SYM
ejpam-3532	132	4	nvpvh	nvpvh	NOUN
ejpam-3532	132	5	,	,	PUNCT
ejpam-3532	132	6	βv	βv	PRON
ejpam-3532	132	7	=	=	ADJ
ejpam-3532	132	8	nvpiv	nvpiv	X
ejpam-3532	132	9	.	.	PUNCT
ejpam-3532	133	1	bh	bh	NOUN
ejpam-3532	134	1	−	−	PROPN
ejpam-3532	134	2	dh	dh	PROPN
ejpam-3532	134	3	d2h	d2h	PROPN
ejpam-3532	134	4	is	be	AUX
ejpam-3532	134	5	the	the	DET
ejpam-3532	134	6	carrying	carrying	NOUN
ejpam-3532	134	7	capacity	capacity	NOUN
ejpam-3532	134	8	for	for	ADP
ejpam-3532	134	9	humans	human	NOUN
ejpam-3532	134	10	population	population	NOUN
ejpam-3532	134	11	and	and	CCONJ
ejpam-3532	134	12	bv	bv	PROPN
ejpam-3532	134	13	−	−	PROPN
ejpam-3532	134	14	dv	dv	PROPN
ejpam-3532	134	15	d2v	d2v	PROPN
ejpam-3532	134	16	is	be	AUX
ejpam-3532	134	17	the	the	DET
ejpam-3532	134	18	carrying	carrying	NOUN
ejpam-3532	134	19	capacity	capacity	NOUN
ejpam-3532	134	20	for	for	ADP
ejpam-3532	134	21	mosquitoes	mosquito	NOUN
ejpam-3532	134	22	population	population	NOUN
ejpam-3532	134	23	.	.	PUNCT
ejpam-3532	135	1	that	that	PRON
ejpam-3532	135	2	is	be	AUX
ejpam-3532	135	3	to	to	PART
ejpam-3532	135	4	say	say	VERB
ejpam-3532	135	5	the	the	DET
ejpam-3532	135	6	maximum	maximum	ADJ
ejpam-3532	135	7	humans	human	NOUN
ejpam-3532	135	8	and	and	CCONJ
ejpam-3532	135	9	the	the	DET
ejpam-3532	135	10	maximum	maximum	ADJ
ejpam-3532	135	11	mosquitoes	mosquito	NOUN
ejpam-3532	135	12	the	the	DET
ejpam-3532	135	13	ecosystem	ecosystem	NOUN
ejpam-3532	135	14	is	be	AUX
ejpam-3532	135	15	able	able	ADJ
ejpam-3532	135	16	to	to	PART
ejpam-3532	135	17	sustain	sustain	VERB
ejpam-3532	135	18	indefinitely	indefinitely	ADV
ejpam-3532	135	19	.	.	PUNCT
ejpam-3532	136	1	remark	remark	PROPN
ejpam-3532	136	2	1	1	NUM
ejpam-3532	136	3	.	.	PUNCT
ejpam-3532	137	1	the	the	DET
ejpam-3532	137	2	carrying	carry	VERB
ejpam-3532	137	3	capacities	capacity	NOUN
ejpam-3532	137	4	for	for	ADP
ejpam-3532	137	5	human	human	ADJ
ejpam-3532	137	6	population	population	NOUN
ejpam-3532	137	7	and	and	CCONJ
ejpam-3532	137	8	mostiquitoes	mostiquitoe	VERB
ejpam-3532	137	9	population	population	NOUN
ejpam-3532	137	10	are	be	AUX
ejpam-3532	137	11	strictly	strictly	ADV
ejpam-3532	137	12	positve	positve	ADJ
ejpam-3532	137	13	.	.	PUNCT
ejpam-3532	138	1	thus	thus	ADV
ejpam-3532	138	2	bh	bh	X
ejpam-3532	138	3	>	>	X
ejpam-3532	138	4	dh	dh	PROPN
ejpam-3532	138	5	and	and	CCONJ
ejpam-3532	138	6	bv	bv	PROPN
ejpam-3532	138	7	>	>	PROPN
ejpam-3532	138	8	dv	dv	PROPN
ejpam-3532	138	9	.	.	PUNCT
ejpam-3532	139	1	in	in	ADP
ejpam-3532	139	2	the	the	DET
ejpam-3532	139	3	rest	rest	NOUN
ejpam-3532	139	4	of	of	ADP
ejpam-3532	139	5	this	this	DET
ejpam-3532	139	6	paper	paper	NOUN
ejpam-3532	139	7	,	,	PUNCT
ejpam-3532	139	8	we	we	PRON
ejpam-3532	139	9	consider	consider	VERB
ejpam-3532	139	10	that	that	DET
ejpam-3532	139	11	bh	bh	NOUN
ejpam-3532	139	12	>	>	X
ejpam-3532	139	13	dh	dh	PROPN
ejpam-3532	139	14	and	and	CCONJ
ejpam-3532	139	15	bv	bv	PROPN
ejpam-3532	139	16	>	>	X
ejpam-3532	139	17	dv	dv	PROPN
ejpam-3532	139	18	.	.	PUNCT
ejpam-3532	140	1	we	we	PRON
ejpam-3532	140	2	disignate	disignate	VERB
ejpam-3532	140	3	the	the	DET
ejpam-3532	140	4	initial	initial	ADJ
ejpam-3532	140	5	condition	condition	NOUN
ejpam-3532	140	6	of	of	ADP
ejpam-3532	140	7	the	the	DET
ejpam-3532	140	8	model	model	NOUN
ejpam-3532	140	9	,	,	PUNCT
ejpam-3532	140	10	that	that	PRON
ejpam-3532	140	11	is	be	AUX
ejpam-3532	140	12	to	to	PART
ejpam-3532	140	13	say	say	VERB
ejpam-3532	140	14	the	the	DET
ejpam-3532	140	15	initial	initial	ADJ
ejpam-3532	140	16	number	number	NOUN
ejpam-3532	140	17	of	of	ADP
ejpam-3532	140	18	individuals	individual	NOUN
ejpam-3532	140	19	in	in	ADP
ejpam-3532	140	20	the	the	DET
ejpam-3532	140	21	different	different	ADJ
ejpam-3532	140	22	compartments	compartment	NOUN
ejpam-3532	140	23	,	,	PUNCT
ejpam-3532	140	24	by	by	ADP
ejpam-3532	140	25	(	(	PUNCT
ejpam-3532	140	26	s0	s0	PROPN
ejpam-3532	140	27	,	,	PUNCT
ejpam-3532	140	28	i0	i0	PROPN
ejpam-3532	140	29	,	,	PUNCT
ejpam-3532	140	30	rf0	rf0	NOUN
ejpam-3532	140	31	,	,	PUNCT
ejpam-3532	140	32	rw0	rw0	NOUN
ejpam-3532	140	33	,	,	PUNCT
ejpam-3532	140	34	rc0	rc0	PROPN
ejpam-3532	140	35	,	,	PUNCT
ejpam-3532	140	36	sv0	sv0	ADJ
ejpam-3532	140	37	,	,	PUNCT
ejpam-3532	140	38	iv0	iv0	NOUN
ejpam-3532	140	39	,	,	PUNCT
ejpam-3532	140	40	nh0	nh0	ADJ
ejpam-3532	140	41	,	,	PUNCT
ejpam-3532	140	42	nv0	nv0	ADV
ejpam-3532	140	43	)	)	PUNCT
ejpam-3532	140	44	t	t	NOUN
ejpam-3532	140	45	.	.	PUNCT
ejpam-3532	141	1	3	3	X
ejpam-3532	141	2	.	.	NOUN
ejpam-3532	141	3	mathematical	mathematical	ADJ
ejpam-3532	141	4	analysis	analysis	NOUN
ejpam-3532	141	5	of	of	ADP
ejpam-3532	141	6	the	the	DET
ejpam-3532	141	7	model	model	NOUN
ejpam-3532	141	8	3.1	3.1	NUM
ejpam-3532	141	9	.	.	PUNCT
ejpam-3532	142	1	existence	existence	NOUN
ejpam-3532	142	2	,	,	PUNCT
ejpam-3532	142	3	positivity	positivity	NOUN
ejpam-3532	142	4	and	and	CCONJ
ejpam-3532	142	5	boundedness	boundedness	NOUN
ejpam-3532	142	6	of	of	ADP
ejpam-3532	142	7	the	the	DET
ejpam-3532	142	8	solutions	solution	NOUN
ejpam-3532	142	9	to	to	PART
ejpam-3532	142	10	prove	prove	VERB
ejpam-3532	142	11	that	that	SCONJ
ejpam-3532	142	12	the	the	DET
ejpam-3532	142	13	model	model	NOUN
ejpam-3532	142	14	is	be	AUX
ejpam-3532	142	15	well	well	ADV
ejpam-3532	142	16	posed	pose	VERB
ejpam-3532	142	17	from	from	ADP
ejpam-3532	142	18	the	the	DET
ejpam-3532	142	19	mathematical	mathematical	ADJ
ejpam-3532	142	20	and	and	CCONJ
ejpam-3532	142	21	epidmiological	epidmiological	ADJ
ejpam-3532	142	22	standpoint	standpoint	NOUN
ejpam-3532	142	23	,	,	PUNCT
ejpam-3532	142	24	we	we	PRON
ejpam-3532	142	25	begin	begin	VERB
ejpam-3532	142	26	by	by	ADP
ejpam-3532	142	27	defining	define	VERB
ejpam-3532	142	28	the	the	DET
ejpam-3532	142	29	folowing	folowing	NOUN
ejpam-3532	142	30	sets	set	NOUN
ejpam-3532	142	31	:	:	PUNCT
ejpam-3532	142	32	ω1	ω1	PROPN
ejpam-3532	142	33	=	=	SYM
ejpam-3532	142	34	{	{	PUNCT
ejpam-3532	142	35	(	(	PUNCT
ejpam-3532	142	36	s	s	PROPN
ejpam-3532	142	37	,	,	PUNCT
ejpam-3532	142	38	i	i	PRON
ejpam-3532	142	39	,	,	PUNCT
ejpam-3532	142	40	rf	rf	PRON
ejpam-3532	142	41	,	,	PUNCT
ejpam-3532	142	42	rw	rw	PROPN
ejpam-3532	142	43	,	,	PUNCT
ejpam-3532	142	44	rc	rc	PROPN
ejpam-3532	142	45	,	,	PUNCT
ejpam-3532	142	46	sv	sv	INTJ
ejpam-3532	142	47	,	,	PUNCT
ejpam-3532	142	48	iv	iv	X
ejpam-3532	142	49	)	)	PUNCT
ejpam-3532	142	50	t	t	NOUN
ejpam-3532	142	51	∈	∈	PROPN
ejpam-3532	142	52	r7	r7	PROPN
ejpam-3532	142	53	+	+	CCONJ
ejpam-3532	142	54	}	}	PUNCT
ejpam-3532	142	55	,	,	PUNCT
ejpam-3532	142	56	(	(	PUNCT
ejpam-3532	142	57	2	2	X
ejpam-3532	142	58	)	)	PUNCT
ejpam-3532	142	59	ω2	ω2	NOUN
ejpam-3532	142	60	=	=	SYM
ejpam-3532	142	61			PROPN
ejpam-3532	142	62	(	(	PUNCT
ejpam-3532	142	63	nh	nh	PROPN
ejpam-3532	142	64	,	,	PUNCT
ejpam-3532	142	65	nv	nv	PROPN
ejpam-3532	142	66	)	)	PUNCT
ejpam-3532	142	67	t	t	NOUN
ejpam-3532	142	68	0	0	NUM
ejpam-3532	142	69	<	<	X
ejpam-3532	142	70	nh	nh	PROPN
ejpam-3532	142	71	≤	≤	NUM
ejpam-3532	142	72	bh	bh	NOUN
ejpam-3532	142	73	−	−	PROPN
ejpam-3532	142	74	dh	dh	PROPN
ejpam-3532	142	75	d2h	d2h	PROPN
ejpam-3532	142	76	0	0	PUNCT
ejpam-3532	143	1	<	<	X
ejpam-3532	143	2	nv	nv	PROPN
ejpam-3532	143	3	≤	≤	PROPN
ejpam-3532	143	4	bv	bv	PROPN
ejpam-3532	143	5	−	−	PROPN
ejpam-3532	143	6	dv	dv	PROPN
ejpam-3532	143	7	d2v	d2v	PROPN
ejpam-3532	143	8			PROPN
ejpam-3532	143	9	(	(	PUNCT
ejpam-3532	143	10	3	3	NUM
ejpam-3532	143	11	)	)	PUNCT
ejpam-3532	143	12	and	and	CCONJ
ejpam-3532	143	13	ω	ω	X
ejpam-3532	143	14	=	=	PROPN
ejpam-3532	143	15	ω1	ω1	PROPN
ejpam-3532	143	16	×	×	PROPN
ejpam-3532	143	17	ω2	ω2	NUM
ejpam-3532	143	18	.	.	PUNCT
ejpam-3532	144	1	noting	note	VERB
ejpam-3532	144	2	the	the	DET
ejpam-3532	144	3	elements	element	NOUN
ejpam-3532	144	4	of	of	ADP
ejpam-3532	144	5	ω	ω	NUM
ejpam-3532	144	6	by	by	ADP
ejpam-3532	144	7	x	x	X
ejpam-3532	144	8	=	=	SYM
ejpam-3532	144	9	(	(	PUNCT
ejpam-3532	144	10	s	s	PROPN
ejpam-3532	144	11	,	,	PUNCT
ejpam-3532	144	12	i	i	PRON
ejpam-3532	144	13	,	,	PUNCT
ejpam-3532	144	14	rf	rf	PRON
ejpam-3532	144	15	,	,	PUNCT
ejpam-3532	144	16	rw	rw	PROPN
ejpam-3532	144	17	,	,	PUNCT
ejpam-3532	144	18	rc	rc	PROPN
ejpam-3532	144	19	,	,	PUNCT
ejpam-3532	144	20	sv	sv	INTJ
ejpam-3532	144	21	,	,	PUNCT
ejpam-3532	144	22	iv	iv	X
ejpam-3532	144	23	,	,	PUNCT
ejpam-3532	144	24	nh	nh	PROPN
ejpam-3532	144	25	,	,	PUNCT
ejpam-3532	144	26	nv	nv	PROPN
ejpam-3532	144	27	)	)	PUNCT
ejpam-3532	144	28	t	t	PROPN
ejpam-3532	144	29	,	,	PUNCT
ejpam-3532	144	30	we	we	PRON
ejpam-3532	144	31	rewrite	rewrite	VERB
ejpam-3532	144	32	the	the	DET
ejpam-3532	144	33	model	model	NOUN
ejpam-3532	144	34	(	(	PUNCT
ejpam-3532	144	35	1	1	NUM
ejpam-3532	144	36	)	)	PUNCT
ejpam-3532	144	37	as	as	ADP
ejpam-3532	144	38	the	the	DET
ejpam-3532	144	39	following	follow	VERB
ejpam-3532	144	40	autonomous	autonomous	ADJ
ejpam-3532	144	41	differential	differential	NOUN
ejpam-3532	144	42	system	system	NOUN
ejpam-3532	144	43	:	:	PUNCT
ejpam-3532	144	44	dxi	dxi	NOUN
ejpam-3532	144	45	dt	dt	NOUN
ejpam-3532	144	46	=	=	SYM
ejpam-3532	144	47	fi(x	fi(x	PROPN
ejpam-3532	144	48	)	)	PUNCT
ejpam-3532	144	49	;	;	PUNCT
ejpam-3532	145	1	i	i	NOUN
ejpam-3532	145	2	=	=	NOUN
ejpam-3532	145	3	1	1	NUM
ejpam-3532	145	4	;	;	PUNCT
ejpam-3532	145	5	2	2	NUM
ejpam-3532	145	6	;	;	PUNCT
ejpam-3532	145	7	...	...	PUNCT
ejpam-3532	145	8	;	;	PUNCT
ejpam-3532	145	9	9	9	NUM
ejpam-3532	145	10	(	(	PUNCT
ejpam-3532	145	11	4	4	X
ejpam-3532	145	12	)	)	PUNCT
ejpam-3532	145	13	we	we	PRON
ejpam-3532	145	14	can	can	AUX
ejpam-3532	145	15	state	state	VERB
ejpam-3532	145	16	the	the	DET
ejpam-3532	145	17	following	following	ADJ
ejpam-3532	145	18	result	result	NOUN
ejpam-3532	145	19	:	:	PUNCT
ejpam-3532	145	20	proposition	proposition	NOUN
ejpam-3532	145	21	1	1	NUM
ejpam-3532	145	22	.	.	PUNCT
ejpam-3532	146	1	for	for	ADP
ejpam-3532	146	2	all	all	DET
ejpam-3532	146	3	initial	initial	ADJ
ejpam-3532	146	4	condition	condition	NOUN
ejpam-3532	146	5	x0	x0	PROPN
ejpam-3532	146	6	=	=	PRON
ejpam-3532	146	7	(	(	PUNCT
ejpam-3532	146	8	s0	s0	PROPN
ejpam-3532	146	9	,	,	PUNCT
ejpam-3532	146	10	i0	i0	PROPN
ejpam-3532	146	11	,	,	PUNCT
ejpam-3532	146	12	rf0	rf0	NOUN
ejpam-3532	146	13	,	,	PUNCT
ejpam-3532	146	14	rw0	rw0	NOUN
ejpam-3532	146	15	,	,	PUNCT
ejpam-3532	146	16	rc0	rc0	PROPN
ejpam-3532	146	17	,	,	PUNCT
ejpam-3532	146	18	sv0	sv0	ADJ
ejpam-3532	146	19	,	,	PUNCT
ejpam-3532	146	20	iv0	iv0	NOUN
ejpam-3532	146	21	,	,	PUNCT
ejpam-3532	146	22	nh0	nh0	ADJ
ejpam-3532	146	23	,	,	PUNCT
ejpam-3532	146	24	nv0	nv0	ADV
ejpam-3532	146	25	)	)	PUNCT
ejpam-3532	146	26	t	t	PROPN
ejpam-3532	146	27	in	in	ADP
ejpam-3532	146	28	ω	ω	PROPN
ejpam-3532	146	29	,	,	PUNCT
ejpam-3532	146	30	the	the	DET
ejpam-3532	146	31	model	model	NOUN
ejpam-3532	146	32	(	(	PUNCT
ejpam-3532	146	33	1	1	X
ejpam-3532	146	34	)	)	PUNCT
ejpam-3532	146	35	admits	admit	VERB
ejpam-3532	146	36	a	a	DET
ejpam-3532	146	37	unique	unique	ADJ
ejpam-3532	146	38	solution	solution	NOUN
ejpam-3532	146	39	defined	define	VERB
ejpam-3532	146	40	for	for	ADP
ejpam-3532	146	41	all	all	DET
ejpam-3532	146	42	time	time	NOUN
ejpam-3532	146	43	t	t	PROPN
ejpam-3532	146	44	≥	≥	NOUN
ejpam-3532	146	45	0	0	NUM
ejpam-3532	146	46	.	.	PUNCT
ejpam-3532	147	1	famane	famane	PROPN
ejpam-3532	147	2	kambiré	kambiré	PROPN
ejpam-3532	147	3	et	et	PROPN
ejpam-3532	148	1	al	al	PROPN
ejpam-3532	148	2	.	.	PUNCT
ejpam-3532	148	3	/	/	SYM
ejpam-3532	148	4	eur	eur	PROPN
ejpam-3532	148	5	.	.	PUNCT
ejpam-3532	149	1	j.	j.	PROPN
ejpam-3532	149	2	pure	pure	PROPN
ejpam-3532	149	3	appl	appl	PROPN
ejpam-3532	149	4	.	.	PROPN
ejpam-3532	149	5	math	math	PROPN
ejpam-3532	149	6	,	,	PUNCT
ejpam-3532	149	7	12	12	NUM
ejpam-3532	149	8	(	(	PUNCT
ejpam-3532	149	9	4	4	NUM
ejpam-3532	149	10	)	)	PUNCT
ejpam-3532	149	11	(	(	PUNCT
ejpam-3532	149	12	2019	2019	NUM
ejpam-3532	149	13	)	)	PUNCT
ejpam-3532	149	14	,	,	PUNCT
ejpam-3532	149	15	1533	1533	NUM
ejpam-3532	149	16	-	-	SYM
ejpam-3532	149	17	1552	1552	NUM
ejpam-3532	149	18	1539	1539	NUM
ejpam-3532	149	19	proof	proof	NOUN
ejpam-3532	149	20	each	each	DET
ejpam-3532	149	21	component	component	NOUN
ejpam-3532	149	22	fi	fi	NOUN
ejpam-3532	149	23	of	of	ADP
ejpam-3532	149	24	the	the	DET
ejpam-3532	149	25	function	function	NOUN
ejpam-3532	149	26	f	f	PROPN
ejpam-3532	149	27	is	be	AUX
ejpam-3532	149	28	given	give	VERB
ejpam-3532	149	29	by	by	ADP
ejpam-3532	149	30	the	the	DET
ejpam-3532	149	31	member	member	NOUN
ejpam-3532	149	32	on	on	ADP
ejpam-3532	149	33	the	the	DET
ejpam-3532	149	34	right	right	NOUN
ejpam-3532	149	35	of	of	ADP
ejpam-3532	149	36	the	the	DET
ejpam-3532	149	37	i	i	PROPN
ejpam-3532	149	38	-	-	PUNCT
ejpam-3532	149	39	th	th	X
ejpam-3532	149	40	equation	equation	NOUN
ejpam-3532	149	41	of	of	ADP
ejpam-3532	149	42	the	the	DET
ejpam-3532	149	43	model	model	NOUN
ejpam-3532	149	44	(	(	PUNCT
ejpam-3532	149	45	1	1	X
ejpam-3532	149	46	)	)	PUNCT
ejpam-3532	149	47	which	which	PRON
ejpam-3532	149	48	is	be	AUX
ejpam-3532	149	49	a	a	DET
ejpam-3532	149	50	sum	sum	NOUN
ejpam-3532	149	51	of	of	ADP
ejpam-3532	149	52	polynomials	polynomial	NOUN
ejpam-3532	149	53	and	and	CCONJ
ejpam-3532	149	54	rational	rational	ADJ
ejpam-3532	149	55	functions	function	NOUN
ejpam-3532	149	56	defined	define	VERB
ejpam-3532	149	57	on	on	ADP
ejpam-3532	149	58	ω	ω	NUM
ejpam-3532	149	59	.	.	PUNCT
ejpam-3532	150	1	it	it	PRON
ejpam-3532	150	2	shows	show	VERB
ejpam-3532	150	3	that	that	SCONJ
ejpam-3532	150	4	f	f	PROPN
ejpam-3532	150	5	∈	∈	PROPN
ejpam-3532	150	6	c∞(ω	c∞(ω	NOUN
ejpam-3532	150	7	)	)	PUNCT
ejpam-3532	150	8	and	and	CCONJ
ejpam-3532	150	9	in	in	ADP
ejpam-3532	150	10	particular	particular	ADJ
ejpam-3532	150	11	f	f	PROPN
ejpam-3532	150	12	∈	∈	PROPN
ejpam-3532	150	13	c1(ω	c1(ω	PROPN
ejpam-3532	150	14	)	)	PUNCT
ejpam-3532	150	15	.	.	PUNCT
ejpam-3532	151	1	so	so	ADV
ejpam-3532	151	2	f	f	PROPN
ejpam-3532	151	3	is	be	AUX
ejpam-3532	151	4	locally	locally	ADV
ejpam-3532	151	5	lipschitzian	lipschitzian	ADJ
ejpam-3532	151	6	on	on	ADP
ejpam-3532	151	7	ω	ω	NUM
ejpam-3532	151	8	.	.	PUNCT
ejpam-3532	152	1	thus	thus	ADV
ejpam-3532	152	2	,	,	PUNCT
ejpam-3532	152	3	by	by	ADP
ejpam-3532	152	4	the	the	DET
ejpam-3532	152	5	cauchy	cauchy	NOUN
ejpam-3532	152	6	-	-	PUNCT
ejpam-3532	152	7	lipschitz	lipschitz	NOUN
ejpam-3532	152	8	theorem	theorem	NOUN
ejpam-3532	152	9	[	[	X
ejpam-3532	152	10	4	4	NUM
ejpam-3532	152	11	]	]	PUNCT
ejpam-3532	152	12	,	,	PUNCT
ejpam-3532	152	13	for	for	ADP
ejpam-3532	152	14	any	any	DET
ejpam-3532	152	15	initial	initial	ADJ
ejpam-3532	152	16	condition	condition	NOUN
ejpam-3532	152	17	x0	x0	PROPN
ejpam-3532	152	18	=	=	PRON
ejpam-3532	152	19	(	(	PUNCT
ejpam-3532	152	20	s0	s0	PROPN
ejpam-3532	152	21	,	,	PUNCT
ejpam-3532	152	22	i0	i0	PROPN
ejpam-3532	152	23	,	,	PUNCT
ejpam-3532	152	24	rf0	rf0	NOUN
ejpam-3532	152	25	,	,	PUNCT
ejpam-3532	152	26	rw0	rw0	NOUN
ejpam-3532	152	27	,	,	PUNCT
ejpam-3532	152	28	rc0	rc0	PROPN
ejpam-3532	152	29	,	,	PUNCT
ejpam-3532	152	30	sv0	sv0	ADJ
ejpam-3532	152	31	,	,	PUNCT
ejpam-3532	152	32	iv0	iv0	NOUN
ejpam-3532	152	33	,	,	PUNCT
ejpam-3532	152	34	nh0	nh0	ADJ
ejpam-3532	152	35	,	,	PUNCT
ejpam-3532	152	36	nv0	nv0	ADV
ejpam-3532	152	37	)	)	PUNCT
ejpam-3532	152	38	t	t	PROPN
ejpam-3532	152	39	∈	∈	PROPN
ejpam-3532	152	40	ω	ω	PROPN
ejpam-3532	152	41	,	,	PUNCT
ejpam-3532	152	42	the	the	DET
ejpam-3532	152	43	model	model	NOUN
ejpam-3532	152	44	(	(	PUNCT
ejpam-3532	152	45	1	1	X
ejpam-3532	152	46	)	)	PUNCT
ejpam-3532	152	47	admits	admit	VERB
ejpam-3532	152	48	a	a	DET
ejpam-3532	152	49	unique	unique	ADJ
ejpam-3532	152	50	maximum	maximum	ADJ
ejpam-3532	152	51	solution	solution	NOUN
ejpam-3532	152	52	defined	define	VERB
ejpam-3532	152	53	for	for	ADP
ejpam-3532	152	54	all	all	DET
ejpam-3532	152	55	time	time	NOUN
ejpam-3532	152	56	t	t	PROPN
ejpam-3532	152	57	≥	≥	NOUN
ejpam-3532	152	58	0	0	NUM
ejpam-3532	152	59	�	�	PROPN
ejpam-3532	152	60	theorem	theorem	VERB
ejpam-3532	152	61	1	1	NUM
ejpam-3532	152	62	.	.	PUNCT
ejpam-3532	153	1	for	for	ADP
ejpam-3532	153	2	all	all	DET
ejpam-3532	153	3	initial	initial	ADJ
ejpam-3532	153	4	condition	condition	NOUN
ejpam-3532	153	5	x0	x0	PROPN
ejpam-3532	153	6	∈	∈	PROPN
ejpam-3532	153	7	ω	ω	NUM
ejpam-3532	153	8	it	it	PRON
ejpam-3532	153	9	exits	exit	VERB
ejpam-3532	153	10	,	,	PUNCT
ejpam-3532	153	11	for	for	ADP
ejpam-3532	153	12	the	the	DET
ejpam-3532	153	13	model	model	NOUN
ejpam-3532	153	14	(	(	PUNCT
ejpam-3532	153	15	1	1	NUM
ejpam-3532	153	16	)	)	PUNCT
ejpam-3532	153	17	,	,	PUNCT
ejpam-3532	153	18	a	a	DET
ejpam-3532	153	19	unique	unique	ADJ
ejpam-3532	153	20	solution	solution	NOUN
ejpam-3532	153	21	that	that	PRON
ejpam-3532	153	22	stays	stay	VERB
ejpam-3532	153	23	in	in	ADP
ejpam-3532	153	24	ω	ω	NOUN
ejpam-3532	153	25	for	for	ADP
ejpam-3532	153	26	all	all	DET
ejpam-3532	153	27	time	time	NOUN
ejpam-3532	153	28	t	t	PROPN
ejpam-3532	153	29	≥	≥	NOUN
ejpam-3532	153	30	0	0	NUM
ejpam-3532	153	31	.	.	PUNCT
ejpam-3532	154	1	proof	proof	NOUN
ejpam-3532	154	2	the	the	DET
ejpam-3532	154	3	proposition	proposition	NOUN
ejpam-3532	154	4	1	1	NUM
ejpam-3532	154	5	guarantees	guarantee	VERB
ejpam-3532	154	6	the	the	DET
ejpam-3532	154	7	existence	existence	NOUN
ejpam-3532	154	8	and	and	CCONJ
ejpam-3532	154	9	the	the	DET
ejpam-3532	154	10	uniqueness	uniqueness	NOUN
ejpam-3532	154	11	of	of	ADP
ejpam-3532	154	12	the	the	DET
ejpam-3532	154	13	solution	solution	NOUN
ejpam-3532	154	14	for	for	ADP
ejpam-3532	154	15	each	each	DET
ejpam-3532	154	16	initial	initial	ADJ
ejpam-3532	154	17	condition	condition	NOUN
ejpam-3532	154	18	.	.	PUNCT
ejpam-3532	155	1	now	now	ADV
ejpam-3532	155	2	we	we	PRON
ejpam-3532	155	3	must	must	AUX
ejpam-3532	155	4	prove	prove	VERB
ejpam-3532	155	5	that	that	SCONJ
ejpam-3532	155	6	ω	ω	NOUN
ejpam-3532	155	7	is	be	AUX
ejpam-3532	155	8	positively	positively	ADV
ejpam-3532	155	9	invariant	invariant	ADJ
ejpam-3532	155	10	by	by	ADP
ejpam-3532	155	11	the	the	DET
ejpam-3532	155	12	system	system	NOUN
ejpam-3532	155	13	(	(	PUNCT
ejpam-3532	155	14	1	1	NUM
ejpam-3532	155	15	)	)	PUNCT
ejpam-3532	155	16	.	.	PUNCT
ejpam-3532	156	1	that	that	PRON
ejpam-3532	156	2	is	be	AUX
ejpam-3532	156	3	to	to	PART
ejpam-3532	156	4	say	say	VERB
ejpam-3532	156	5	for	for	ADP
ejpam-3532	156	6	s0	s0	PROPN
ejpam-3532	156	7	≥	≥	NUM
ejpam-3532	156	8	0	0	NUM
ejpam-3532	156	9	,	,	PUNCT
ejpam-3532	156	10	i0	i0	PROPN
ejpam-3532	156	11	≥	≥	NUM
ejpam-3532	156	12	0	0	NUM
ejpam-3532	156	13	,	,	PUNCT
ejpam-3532	156	14	rf0	rf0	VERB
ejpam-3532	156	15	≥	≥	NOUN
ejpam-3532	156	16	0	0	NUM
ejpam-3532	156	17	,	,	PUNCT
ejpam-3532	156	18	rw0	rw0	NOUN
ejpam-3532	156	19	≥	≥	NUM
ejpam-3532	156	20	0,rc0	0,rc0	ADP
ejpam-3532	156	21	≥	≥	NOUN
ejpam-3532	156	22	0	0	NUM
ejpam-3532	156	23	,	,	PUNCT
ejpam-3532	156	24	sv0	sv0	ADJ
ejpam-3532	156	25	≥	≥	NOUN
ejpam-3532	156	26	0	0	NUM
ejpam-3532	156	27	,	,	PUNCT
ejpam-3532	156	28	iv0	iv0	X
ejpam-3532	156	29	≥	≥	NUM
ejpam-3532	156	30	0	0	NUM
ejpam-3532	156	31	,	,	PUNCT
ejpam-3532	156	32	0	0	PUNCT
ejpam-3532	156	33	<	<	X
ejpam-3532	156	34	nh0	nh0	VERB
ejpam-3532	156	35	≤	≤	NUM
ejpam-3532	156	36	bh	bh	NOUN
ejpam-3532	156	37	−	−	PROPN
ejpam-3532	156	38	dh	dh	PROPN
ejpam-3532	156	39	d2h	d2h	PROPN
ejpam-3532	156	40	and	and	CCONJ
ejpam-3532	156	41	0	0	NUM
ejpam-3532	156	42	<	<	X
ejpam-3532	156	43	nv0	nv0	PROPN
ejpam-3532	156	44	≤	≤	PROPN
ejpam-3532	156	45	bv	bv	PROPN
ejpam-3532	156	46	−	−	PROPN
ejpam-3532	156	47	dv	dv	PROPN
ejpam-3532	156	48	d2v	d2v	PROPN
ejpam-3532	156	49	,	,	PUNCT
ejpam-3532	156	50	the	the	DET
ejpam-3532	156	51	solution	solution	NOUN
ejpam-3532	156	52	verifying	verify	VERB
ejpam-3532	156	53	this	this	DET
ejpam-3532	156	54	initial	initial	ADJ
ejpam-3532	156	55	condition	condition	NOUN
ejpam-3532	156	56	also	also	ADV
ejpam-3532	156	57	satisfies	satisfy	VERB
ejpam-3532	156	58	the	the	DET
ejpam-3532	156	59	condition	condition	NOUN
ejpam-3532	156	60	s	s	PART
ejpam-3532	156	61	≥	≥	NOUN
ejpam-3532	156	62	0	0	NUM
ejpam-3532	156	63	,	,	PUNCT
ejpam-3532	156	64	i	i	PRON
ejpam-3532	156	65	≥	≥	VERB
ejpam-3532	156	66	0	0	NUM
ejpam-3532	156	67	,	,	PUNCT
ejpam-3532	156	68	rf	rf	PRON
ejpam-3532	156	69	≥	≥	NOUN
ejpam-3532	156	70	0	0	NUM
ejpam-3532	156	71	,	,	PUNCT
ejpam-3532	156	72	rw	rw	PROPN
ejpam-3532	156	73	≥	≥	PROPN
ejpam-3532	156	74	0	0	NUM
ejpam-3532	156	75	,	,	PUNCT
ejpam-3532	156	76	rc	rc	PROPN
ejpam-3532	156	77	≥	≥	PROPN
ejpam-3532	156	78	0	0	NUM
ejpam-3532	156	79	,	,	PUNCT
ejpam-3532	156	80	sv	sv	X
ejpam-3532	156	81	≥	≥	PROPN
ejpam-3532	156	82	0	0	NUM
ejpam-3532	156	83	,	,	PUNCT
ejpam-3532	156	84	iv	iv	NUM
ejpam-3532	156	85	≥	≥	NOUN
ejpam-3532	156	86	0	0	NUM
ejpam-3532	156	87	,	,	PUNCT
ejpam-3532	156	88	0	0	NUM
ejpam-3532	156	89	<	<	X
ejpam-3532	156	90	nh	nh	PROPN
ejpam-3532	156	91	≤	≤	NUM
ejpam-3532	156	92	bh	bh	NOUN
ejpam-3532	156	93	−	−	PROPN
ejpam-3532	156	94	dh	dh	PROPN
ejpam-3532	156	95	d2h	d2h	PROPN
ejpam-3532	156	96	and	and	CCONJ
ejpam-3532	156	97	0	0	NUM
ejpam-3532	156	98	<	<	X
ejpam-3532	156	99	nv	nv	PROPN
ejpam-3532	156	100	≤	≤	PROPN
ejpam-3532	156	101	bv	bv	PROPN
ejpam-3532	156	102	−	−	PROPN
ejpam-3532	156	103	dv	dv	PROPN
ejpam-3532	156	104	d2v	d2v	PROPN
ejpam-3532	156	105	.	.	PUNCT
ejpam-3532	157	1	to	to	PART
ejpam-3532	157	2	show	show	VERB
ejpam-3532	157	3	the	the	DET
ejpam-3532	157	4	positivity	positivity	NOUN
ejpam-3532	157	5	of	of	ADP
ejpam-3532	157	6	the	the	DET
ejpam-3532	157	7	solutions	solution	NOUN
ejpam-3532	157	8	of	of	ADP
ejpam-3532	157	9	the	the	DET
ejpam-3532	157	10	model	model	NOUN
ejpam-3532	157	11	we	we	PRON
ejpam-3532	157	12	express	express	VERB
ejpam-3532	157	13	each	each	DET
ejpam-3532	157	14	differential	differential	ADJ
ejpam-3532	157	15	equation	equation	NOUN
ejpam-3532	157	16	of	of	ADP
ejpam-3532	157	17	the	the	DET
ejpam-3532	157	18	system	system	NOUN
ejpam-3532	157	19	(	(	PUNCT
ejpam-3532	157	20	1	1	NUM
ejpam-3532	157	21	)	)	PUNCT
ejpam-3532	157	22	as	as	ADP
ejpam-3532	157	23	a	a	DET
ejpam-3532	157	24	differential	differential	ADJ
ejpam-3532	157	25	inequality	inequality	NOUN
ejpam-3532	157	26	and	and	CCONJ
ejpam-3532	157	27	we	we	PRON
ejpam-3532	157	28	use	use	VERB
ejpam-3532	157	29	the	the	DET
ejpam-3532	157	30	technique	technique	NOUN
ejpam-3532	157	31	of	of	ADP
ejpam-3532	157	32	separation	separation	NOUN
ejpam-3532	157	33	of	of	ADP
ejpam-3532	157	34	variables	variable	NOUN
ejpam-3532	157	35	.	.	PUNCT
ejpam-3532	158	1	after	after	ADP
ejpam-3532	158	2	integration	integration	NOUN
ejpam-3532	158	3	of	of	ADP
ejpam-3532	158	4	the	the	DET
ejpam-3532	158	5	different	different	ADJ
ejpam-3532	158	6	differential	differential	NOUN
ejpam-3532	158	7	inequalities	inequality	NOUN
ejpam-3532	158	8	,	,	PUNCT
ejpam-3532	158	9	we	we	PRON
ejpam-3532	158	10	obtain	obtain	VERB
ejpam-3532	158	11	the	the	DET
ejpam-3532	158	12	positivity	positivity	NOUN
ejpam-3532	158	13	of	of	ADP
ejpam-3532	158	14	s	s	PROPN
ejpam-3532	158	15	,	,	PUNCT
ejpam-3532	158	16	i	i	PRON
ejpam-3532	158	17	,	,	PUNCT
ejpam-3532	158	18	rf	rf	PRON
ejpam-3532	158	19	,	,	PUNCT
ejpam-3532	158	20	rw	rw	PROPN
ejpam-3532	158	21	,	,	PUNCT
ejpam-3532	158	22	rc	rc	PROPN
ejpam-3532	158	23	,	,	PUNCT
ejpam-3532	158	24	sv	sv	INTJ
ejpam-3532	158	25	,	,	PUNCT
ejpam-3532	158	26	iv	iv	X
ejpam-3532	158	27	,	,	PUNCT
ejpam-3532	158	28	nh	nh	PROPN
ejpam-3532	158	29	and	and	CCONJ
ejpam-3532	158	30	nv	nv	PROPN
ejpam-3532	158	31	.	.	PUNCT
ejpam-3532	159	1	this	this	DET
ejpam-3532	159	2	approach	approach	NOUN
ejpam-3532	159	3	is	be	AUX
ejpam-3532	159	4	also	also	ADV
ejpam-3532	159	5	used	use	VERB
ejpam-3532	159	6	in	in	ADP
ejpam-3532	159	7	[	[	X
ejpam-3532	159	8	1],[18	1],[18	NUM
ejpam-3532	159	9	]	]	PUNCT
ejpam-3532	159	10	.	.	PUNCT
ejpam-3532	160	1	positivity	positivity	NOUN
ejpam-3532	160	2	of	of	ADP
ejpam-3532	160	3	the	the	DET
ejpam-3532	160	4	number	number	NOUN
ejpam-3532	160	5	of	of	ADP
ejpam-3532	160	6	susceptible	susceptible	ADJ
ejpam-3532	160	7	humans	human	NOUN
ejpam-3532	160	8	s	s	PART
ejpam-3532	160	9	:	:	PUNCT
ejpam-3532	160	10	as	as	ADP
ejpam-3532	160	11	bhnh	bhnh	PROPN
ejpam-3532	160	12	+	+	CCONJ
ejpam-3532	160	13	σrc	σrc	PROPN
ejpam-3532	160	14	≥	≥	NUM
ejpam-3532	160	15	0	0	NUM
ejpam-3532	160	16	,	,	PUNCT
ejpam-3532	160	17	ds	ds	INTJ
ejpam-3532	160	18	dt	dt	X
ejpam-3532	160	19	≥	≥	X
ejpam-3532	160	20	−βh	−βh	PROPN
ejpam-3532	160	21	iv	iv	NUM
ejpam-3532	160	22	nh	nh	PROPN
ejpam-3532	160	23	s	s	PART
ejpam-3532	160	24	−	−	PROPN
ejpam-3532	160	25	dhs	dhs	PROPN
ejpam-3532	160	26	−	−	PROPN
ejpam-3532	160	27	d2hnhs	d2hnhs	PROPN
ejpam-3532	160	28	.	.	PUNCT
ejpam-3532	161	1	(	(	PUNCT
ejpam-3532	161	2	5	5	X
ejpam-3532	161	3	)	)	PUNCT
ejpam-3532	161	4	separating	separate	VERB
ejpam-3532	161	5	the	the	DET
ejpam-3532	161	6	variables	variable	NOUN
ejpam-3532	161	7	and	and	CCONJ
ejpam-3532	161	8	integrating	integrate	VERB
ejpam-3532	161	9	we	we	PRON
ejpam-3532	161	10	obtain	obtain	VERB
ejpam-3532	161	11	s	s	PART
ejpam-3532	161	12	≥	≥	NOUN
ejpam-3532	161	13	s0	s0	PROPN
ejpam-3532	161	14	exp	exp	PROPN
ejpam-3532	161	15	(	(	PUNCT
ejpam-3532	161	16	−βh	−βh	PROPN
ejpam-3532	161	17	iv	iv	NUM
ejpam-3532	161	18	nh	nh	PROPN
ejpam-3532	161	19	−	−	PROPN
ejpam-3532	162	1	dh	dh	NOUN
ejpam-3532	163	1	−	−	PROPN
ejpam-3532	163	2	d2hnh	d2hnh	PROPN
ejpam-3532	163	3	)	)	PUNCT
ejpam-3532	163	4	.	.	PUNCT
ejpam-3532	164	1	(	(	PUNCT
ejpam-3532	164	2	6	6	NUM
ejpam-3532	164	3	)	)	PUNCT
ejpam-3532	164	4	as	as	ADP
ejpam-3532	164	5	exp	exp	X
ejpam-3532	164	6	(	(	PUNCT
ejpam-3532	164	7	−βh	−βh	PROPN
ejpam-3532	164	8	iv	iv	NUM
ejpam-3532	164	9	nh	nh	PROPN
ejpam-3532	164	10	−	−	PROPN
ejpam-3532	164	11	dh	dh	NOUN
ejpam-3532	165	1	−	−	PROPN
ejpam-3532	165	2	d2hnh	d2hnh	PROPN
ejpam-3532	165	3	)	)	PUNCT
ejpam-3532	166	1	>	>	X
ejpam-3532	166	2	0	0	NUM
ejpam-3532	166	3	,	,	PUNCT
ejpam-3532	166	4	s0	s0	PROPN
ejpam-3532	166	5	exp	exp	PROPN
ejpam-3532	166	6	(	(	PUNCT
ejpam-3532	166	7	−βh	−βh	PROPN
ejpam-3532	166	8	iv	iv	NUM
ejpam-3532	166	9	nh	nh	PROPN
ejpam-3532	166	10	−	−	PROPN
ejpam-3532	166	11	dh	dh	NOUN
ejpam-3532	167	1	−	−	PROPN
ejpam-3532	167	2	d2hnh	d2hnh	PROPN
ejpam-3532	167	3	)	)	PUNCT
ejpam-3532	167	4	≥	≥	NOUN
ejpam-3532	167	5	0	0	NUM
ejpam-3532	167	6	for	for	ADP
ejpam-3532	167	7	s0	s0	PROPN
ejpam-3532	167	8	≥	≥	NUM
ejpam-3532	167	9	0	0	NUM
ejpam-3532	167	10	.	.	PUNCT
ejpam-3532	168	1	thus	thus	ADV
ejpam-3532	168	2	s	s	X
ejpam-3532	168	3	≥	≥	NOUN
ejpam-3532	168	4	0	0	NUM
ejpam-3532	168	5	for	for	ADP
ejpam-3532	168	6	s0	s0	PROPN
ejpam-3532	168	7	≥	≥	PROPN
ejpam-3532	168	8	0	0	NUM
ejpam-3532	168	9	.	.	PUNCT
ejpam-3532	169	1	positivity	positivity	NOUN
ejpam-3532	169	2	of	of	ADP
ejpam-3532	169	3	the	the	DET
ejpam-3532	169	4	number	number	NOUN
ejpam-3532	169	5	of	of	ADP
ejpam-3532	169	6	infected	infected	ADJ
ejpam-3532	169	7	humans	human	NOUN
ejpam-3532	169	8	i	i	PRON
ejpam-3532	169	9	:	:	PUNCT
ejpam-3532	170	1	βh	βh	PROPN
ejpam-3532	170	2	iv	iv	NUM
ejpam-3532	170	3	nh	nh	PROPN
ejpam-3532	170	4	s	s	PART
ejpam-3532	170	5	≥	≥	NOUN
ejpam-3532	170	6	0	0	NUM
ejpam-3532	170	7	.	.	PUNCT
ejpam-3532	171	1	that	that	PRON
ejpam-3532	171	2	implies	imply	VERB
ejpam-3532	171	3	that	that	DET
ejpam-3532	171	4	di	di	NOUN
ejpam-3532	171	5	dt	dt	X
ejpam-3532	171	6	≥	≥	PROPN
ejpam-3532	171	7	−(γ	−(γ	PROPN
ejpam-3532	172	1	+	+	CCONJ
ejpam-3532	172	2	dh	dh	NOUN
ejpam-3532	173	1	+	+	CCONJ
ejpam-3532	173	2	di)i	di)i	PROPN
ejpam-3532	173	3	−	−	PROPN
ejpam-3532	173	4	d2hnhi	d2hnhi	NOUN
ejpam-3532	173	5	(	(	PUNCT
ejpam-3532	173	6	7	7	NUM
ejpam-3532	173	7	)	)	PUNCT
ejpam-3532	173	8	famane	famane	NOUN
ejpam-3532	173	9	kambiré	kambiré	PROPN
ejpam-3532	173	10	et	et	PROPN
ejpam-3532	174	1	al	al	PROPN
ejpam-3532	174	2	.	.	PUNCT
ejpam-3532	174	3	/	/	SYM
ejpam-3532	174	4	eur	eur	PROPN
ejpam-3532	174	5	.	.	PUNCT
ejpam-3532	175	1	j.	j.	PROPN
ejpam-3532	175	2	pure	pure	PROPN
ejpam-3532	175	3	appl	appl	PROPN
ejpam-3532	175	4	.	.	PROPN
ejpam-3532	175	5	math	math	PROPN
ejpam-3532	175	6	,	,	PUNCT
ejpam-3532	175	7	12	12	NUM
ejpam-3532	175	8	(	(	PUNCT
ejpam-3532	175	9	4	4	NUM
ejpam-3532	175	10	)	)	PUNCT
ejpam-3532	175	11	(	(	PUNCT
ejpam-3532	175	12	2019	2019	NUM
ejpam-3532	175	13	)	)	PUNCT
ejpam-3532	175	14	,	,	PUNCT
ejpam-3532	175	15	1533	1533	NUM
ejpam-3532	175	16	-	-	SYM
ejpam-3532	175	17	1552	1552	NUM
ejpam-3532	175	18	1540	1540	NUM
ejpam-3532	175	19	by	by	ADP
ejpam-3532	175	20	separating	separate	VERB
ejpam-3532	175	21	the	the	DET
ejpam-3532	175	22	variables	variable	NOUN
ejpam-3532	175	23	and	and	CCONJ
ejpam-3532	175	24	integrating	integrating	NOUN
ejpam-3532	175	25	,	,	PUNCT
ejpam-3532	175	26	we	we	PRON
ejpam-3532	175	27	have	have	VERB
ejpam-3532	175	28	i	i	PRON
ejpam-3532	175	29	≥	≥	NUM
ejpam-3532	175	30	i0	i0	PROPN
ejpam-3532	175	31	exp	exp	PROPN
ejpam-3532	175	32	(	(	PUNCT
ejpam-3532	175	33	−(γ	−(γ	PROPN
ejpam-3532	175	34	+	+	NUM
ejpam-3532	175	35	dh	dh	NOUN
ejpam-3532	175	36	+	+	CCONJ
ejpam-3532	175	37	di)−	di)−	NOUN
ejpam-3532	175	38	d2hnh	d2hnh	NUM
ejpam-3532	175	39	)	)	PUNCT
ejpam-3532	175	40	.	.	PUNCT
ejpam-3532	176	1	(	(	PUNCT
ejpam-3532	176	2	8)	8)	NUM
ejpam-3532	176	3	we	we	PRON
ejpam-3532	176	4	deduce	deduce	VERB
ejpam-3532	176	5	that	that	SCONJ
ejpam-3532	176	6	i	i	PRON
ejpam-3532	176	7	≥	≥	VERB
ejpam-3532	176	8	0	0	NUM
ejpam-3532	176	9	for	for	ADP
ejpam-3532	176	10	i0	i0	PROPN
ejpam-3532	176	11	≥	≥	NUM
ejpam-3532	176	12	0	0	NUM
ejpam-3532	176	13	.	.	PUNCT
ejpam-3532	177	1	positivity	positivity	NOUN
ejpam-3532	177	2	of	of	ADP
ejpam-3532	177	3	the	the	DET
ejpam-3532	177	4	number	number	NOUN
ejpam-3532	177	5	of	of	ADP
ejpam-3532	177	6	immune	immune	ADJ
ejpam-3532	177	7	humans	human	NOUN
ejpam-3532	177	8	with	with	ADP
ejpam-3532	177	9	high	high	ADJ
ejpam-3532	177	10	level	level	NOUN
ejpam-3532	177	11	of	of	ADP
ejpam-3532	177	12	immunity	immunity	NOUN
ejpam-3532	177	13	rf	rf	VERB
ejpam-3532	177	14	:	:	PUNCT
ejpam-3532	177	15	as	as	ADP
ejpam-3532	177	16	γi	γi	PROPN
ejpam-3532	177	17	+	+	CCONJ
ejpam-3532	177	18	βh	βh	PROPN
ejpam-3532	177	19	iv	iv	NUM
ejpam-3532	177	20	nh	nh	PROPN
ejpam-3532	177	21	(	(	PUNCT
ejpam-3532	177	22	(	(	PUNCT
ejpam-3532	177	23	1−	1−	NUM
ejpam-3532	177	24	θ)rc	θ)rc	PROPN
ejpam-3532	177	25	+	+	NOUN
ejpam-3532	177	26	rw	rw	NOUN
ejpam-3532	177	27	)	)	PUNCT
ejpam-3532	177	28	≥	≥	NOUN
ejpam-3532	177	29	0	0	NUM
ejpam-3532	177	30	,	,	PUNCT
ejpam-3532	177	31	drf	drf	PROPN
ejpam-3532	177	32	dt	dt	X
ejpam-3532	177	33	≥	≥	NOUN
ejpam-3532	177	34	−(µ+	−(µ+	NUM
ejpam-3532	177	35	dh)rf	dh)rf	PUNCT
ejpam-3532	177	36	−	−	PROPN
ejpam-3532	178	1	d2hnhrf	d2hnhrf	ADV
ejpam-3532	178	2	.	.	PUNCT
ejpam-3532	179	1	(	(	PUNCT
ejpam-3532	179	2	9	9	NUM
ejpam-3532	179	3	)	)	PUNCT
ejpam-3532	179	4	by	by	ADP
ejpam-3532	179	5	separating	separate	VERB
ejpam-3532	179	6	the	the	DET
ejpam-3532	179	7	variables	variable	NOUN
ejpam-3532	179	8	and	and	CCONJ
ejpam-3532	179	9	integrating	integrating	NOUN
ejpam-3532	179	10	,	,	PUNCT
ejpam-3532	179	11	rf	rf	PRON
ejpam-3532	179	12	≥	≥	NOUN
ejpam-3532	179	13	rf0	rf0	VERB
ejpam-3532	179	14	exp(−(µ+	exp(−(µ+	PUNCT
ejpam-3532	179	15	dh)−	dh)−	PUNCT
ejpam-3532	180	1	d2hnhr	d2hnhr	NOUN
ejpam-3532	180	2	)	)	PUNCT
ejpam-3532	180	3	.	.	PUNCT
ejpam-3532	181	1	(	(	PUNCT
ejpam-3532	181	2	10	10	NUM
ejpam-3532	181	3	)	)	PUNCT
ejpam-3532	181	4	we	we	PRON
ejpam-3532	181	5	deduce	deduce	VERB
ejpam-3532	181	6	that	that	SCONJ
ejpam-3532	181	7	rf	rf	VERB
ejpam-3532	181	8	≥	≥	NOUN
ejpam-3532	181	9	0	0	NUM
ejpam-3532	181	10	for	for	ADP
ejpam-3532	181	11	rf0	rf0	PROPN
ejpam-3532	181	12	≥	≥	NOUN
ejpam-3532	181	13	0	0	NUM
ejpam-3532	181	14	.	.	PUNCT
ejpam-3532	182	1	positivity	positivity	NOUN
ejpam-3532	182	2	of	of	ADP
ejpam-3532	182	3	the	the	DET
ejpam-3532	182	4	number	number	NOUN
ejpam-3532	182	5	of	of	ADP
ejpam-3532	182	6	immune	immune	ADJ
ejpam-3532	182	7	humans	human	NOUN
ejpam-3532	182	8	with	with	ADP
ejpam-3532	182	9	intermediate	intermediate	ADJ
ejpam-3532	182	10	level	level	NOUN
ejpam-3532	182	11	of	of	ADP
ejpam-3532	182	12	immunity	immunity	NOUN
ejpam-3532	182	13	rw	rw	NOUN
ejpam-3532	182	14	:	:	PUNCT
ejpam-3532	182	15	as	as	SCONJ
ejpam-3532	182	16	µrf	µrf	NOUN
ejpam-3532	182	17	+	+	CCONJ
ejpam-3532	182	18	βh	βh	PROPN
ejpam-3532	182	19	iv	iv	PROPN
ejpam-3532	182	20	nh	nh	PROPN
ejpam-3532	182	21	(	(	PUNCT
ejpam-3532	182	22	θrc	θrc	PROPN
ejpam-3532	182	23	−rw	−rw	PROPN
ejpam-3532	182	24	)	)	PUNCT
ejpam-3532	182	25	≥	≥	PROPN
ejpam-3532	182	26	0	0	NUM
ejpam-3532	182	27	,	,	PUNCT
ejpam-3532	182	28	drw	drw	PROPN
ejpam-3532	182	29	dt	dt	X
ejpam-3532	182	30	≥	≥	NOUN
ejpam-3532	182	31	−(dh	−(dh	PROPN
ejpam-3532	182	32	+	+	PUNCT
ejpam-3532	183	1	λ)rw	λ)rw	PROPN
ejpam-3532	183	2	−	−	PROPN
ejpam-3532	183	3	d2hnhrw	d2hnhrw	NOUN
ejpam-3532	183	4	.	.	PUNCT
ejpam-3532	184	1	(	(	PUNCT
ejpam-3532	184	2	11	11	NUM
ejpam-3532	184	3	)	)	PUNCT
ejpam-3532	184	4	by	by	ADP
ejpam-3532	184	5	separating	separate	VERB
ejpam-3532	184	6	the	the	DET
ejpam-3532	184	7	variables	variable	NOUN
ejpam-3532	184	8	and	and	CCONJ
ejpam-3532	184	9	integrating	integrating	NOUN
ejpam-3532	184	10	,	,	PUNCT
ejpam-3532	184	11	rw	rw	PROPN
ejpam-3532	184	12	≥	≥	PROPN
ejpam-3532	184	13	rw0	rw0	NOUN
ejpam-3532	184	14	exp(−(dh	exp(−(dh	PROPN
ejpam-3532	184	15	+	+	CCONJ
ejpam-3532	184	16	λ)−	λ)−	PROPN
ejpam-3532	184	17	d2hnh	d2hnh	NOUN
ejpam-3532	184	18	)	)	PUNCT
ejpam-3532	184	19	.	.	PUNCT
ejpam-3532	185	1	(	(	PUNCT
ejpam-3532	185	2	12	12	NUM
ejpam-3532	185	3	)	)	PUNCT
ejpam-3532	185	4	thus	thus	ADV
ejpam-3532	185	5	rw	rw	X
ejpam-3532	185	6	≥	≥	NOUN
ejpam-3532	185	7	0	0	NUM
ejpam-3532	185	8	for	for	ADP
ejpam-3532	185	9	rw0	rw0	NOUN
ejpam-3532	185	10	≥	≥	NOUN
ejpam-3532	185	11	0	0	NUM
ejpam-3532	185	12	.	.	PUNCT
ejpam-3532	185	13	positivity	positivity	NOUN
ejpam-3532	185	14	of	of	ADP
ejpam-3532	185	15	the	the	DET
ejpam-3532	185	16	number	number	NOUN
ejpam-3532	185	17	of	of	ADP
ejpam-3532	185	18	immune	immune	ADJ
ejpam-3532	185	19	humans	human	NOUN
ejpam-3532	185	20	with	with	ADP
ejpam-3532	185	21	critically	critically	ADV
ejpam-3532	185	22	low	low	ADJ
ejpam-3532	185	23	level	level	NOUN
ejpam-3532	185	24	of	of	ADP
ejpam-3532	185	25	immunity	immunity	NOUN
ejpam-3532	185	26	rc	rc	NOUN
ejpam-3532	185	27	:	:	PUNCT
ejpam-3532	185	28	λrw	λrw	INTJ
ejpam-3532	185	29	≥	≥	NOUN
ejpam-3532	185	30	0	0	NUM
ejpam-3532	185	31	.	.	PUNCT
ejpam-3532	186	1	that	that	PRON
ejpam-3532	186	2	implies	imply	VERB
ejpam-3532	186	3	that	that	SCONJ
ejpam-3532	186	4	drc	drc	PROPN
ejpam-3532	186	5	dt	dt	X
ejpam-3532	186	6	≥	≥	NOUN
ejpam-3532	186	7	−(dh	−(dh	PROPN
ejpam-3532	187	1	+	+	CCONJ
ejpam-3532	187	2	σ)rc	σ)rc	PROPN
ejpam-3532	187	3	−	−	PROPN
ejpam-3532	187	4	d2hnhrc	d2hnhrc	VERB
ejpam-3532	187	5	−	−	PROPN
ejpam-3532	187	6	βh	βh	INTJ
ejpam-3532	187	7	iv	iv	PROPN
ejpam-3532	187	8	nh	nh	PROPN
ejpam-3532	187	9	rc	rc	PROPN
ejpam-3532	187	10	.	.	PUNCT
ejpam-3532	188	1	(	(	PUNCT
ejpam-3532	188	2	13	13	NUM
ejpam-3532	188	3	)	)	PUNCT
ejpam-3532	188	4	by	by	ADP
ejpam-3532	188	5	separating	separate	VERB
ejpam-3532	188	6	the	the	DET
ejpam-3532	188	7	variables	variable	NOUN
ejpam-3532	188	8	and	and	CCONJ
ejpam-3532	188	9	integrating	integrating	NOUN
ejpam-3532	188	10	,	,	PUNCT
ejpam-3532	188	11	we	we	PRON
ejpam-3532	188	12	obtain	obtain	VERB
ejpam-3532	188	13	rc	rc	PROPN
ejpam-3532	188	14	≥	≥	PROPN
ejpam-3532	188	15	rw0	rw0	NOUN
ejpam-3532	188	16	exp	exp	NOUN
ejpam-3532	188	17	(	(	PUNCT
ejpam-3532	188	18	−(dh	−(dh	PROPN
ejpam-3532	188	19	+	+	CCONJ
ejpam-3532	188	20	σ)−	σ)−	PROPN
ejpam-3532	188	21	d2hnh	d2hnh	NOUN
ejpam-3532	188	22	−	−	PROPN
ejpam-3532	188	23	βh	βh	NUM
ejpam-3532	188	24	iv	iv	PROPN
ejpam-3532	188	25	nh	nh	PROPN
ejpam-3532	188	26	)	)	PUNCT
ejpam-3532	188	27	.	.	PUNCT
ejpam-3532	189	1	(	(	PUNCT
ejpam-3532	189	2	14	14	NUM
ejpam-3532	189	3	)	)	PUNCT
ejpam-3532	189	4	thus	thus	ADV
ejpam-3532	189	5	rc	rc	X
ejpam-3532	189	6	≥	≥	X
ejpam-3532	189	7	0	0	NUM
ejpam-3532	189	8	for	for	ADP
ejpam-3532	189	9	rc0	rc0	PROPN
ejpam-3532	189	10	≥	≥	NOUN
ejpam-3532	189	11	0	0	NUM
ejpam-3532	189	12	.	.	PUNCT
ejpam-3532	189	13	positivity	positivity	NOUN
ejpam-3532	189	14	of	of	ADP
ejpam-3532	189	15	the	the	DET
ejpam-3532	189	16	number	number	NOUN
ejpam-3532	189	17	of	of	ADP
ejpam-3532	189	18	susceptible	susceptible	ADJ
ejpam-3532	189	19	mosquitoes	mosquito	NOUN
ejpam-3532	189	20	sv	sv	NOUN
ejpam-3532	189	21	:	:	PUNCT
ejpam-3532	189	22	bvnv	bvnv	PROPN
ejpam-3532	189	23	≥	≥	PRON
ejpam-3532	189	24	0	0	NUM
ejpam-3532	189	25	.	.	PUNCT
ejpam-3532	190	1	that	that	PRON
ejpam-3532	190	2	implies	imply	VERB
ejpam-3532	190	3	that	that	SCONJ
ejpam-3532	190	4	dsv	dsv	PROPN
ejpam-3532	190	5	dt	dt	PROPN
ejpam-3532	190	6	≥	≥	PROPN
ejpam-3532	190	7	−dv	−dv	PROPN
ejpam-3532	190	8	sv	sv	PROPN
ejpam-3532	190	9	−	−	PROPN
ejpam-3532	190	10	d2vnv	d2vnv	PROPN
ejpam-3532	191	1	sv	sv	INTJ
ejpam-3532	192	1	−	−	NOUN
ejpam-3532	192	2	βv	βv	INTJ
ejpam-3532	193	1	i	i	PRON
ejpam-3532	193	2	nh	nh	INTJ
ejpam-3532	193	3	sv	sv	INTJ
ejpam-3532	193	4	.	.	PUNCT
ejpam-3532	194	1	(	(	PUNCT
ejpam-3532	194	2	15	15	NUM
ejpam-3532	194	3	)	)	PUNCT
ejpam-3532	194	4	by	by	ADP
ejpam-3532	194	5	separating	separate	VERB
ejpam-3532	194	6	the	the	DET
ejpam-3532	194	7	variables	variable	NOUN
ejpam-3532	194	8	and	and	CCONJ
ejpam-3532	194	9	integrating	integrating	NOUN
ejpam-3532	194	10	,	,	PUNCT
ejpam-3532	194	11	sv	sv	PROPN
ejpam-3532	194	12	≥	≥	PROPN
ejpam-3532	194	13	sv0	sv0	VERB
ejpam-3532	194	14	exp	exp	NOUN
ejpam-3532	194	15	(	(	PUNCT
ejpam-3532	194	16	−dv	−dv	PROPN
ejpam-3532	194	17	−	−	PROPN
ejpam-3532	194	18	d2vnv	d2vnv	ADJ
ejpam-3532	195	1	−	−	PROPN
ejpam-3532	196	1	βv	βv	INTJ
ejpam-3532	197	1	i	i	PROPN
ejpam-3532	197	2	nh	nh	PROPN
ejpam-3532	197	3	)	)	PUNCT
ejpam-3532	197	4	.	.	PUNCT
ejpam-3532	198	1	(	(	PUNCT
ejpam-3532	198	2	16	16	NUM
ejpam-3532	198	3	)	)	PUNCT
ejpam-3532	198	4	famane	famane	NOUN
ejpam-3532	198	5	kambiré	kambiré	PROPN
ejpam-3532	198	6	et	et	PROPN
ejpam-3532	199	1	al	al	PROPN
ejpam-3532	199	2	.	.	PUNCT
ejpam-3532	199	3	/	/	SYM
ejpam-3532	199	4	eur	eur	PROPN
ejpam-3532	199	5	.	.	PUNCT
ejpam-3532	200	1	j.	j.	PROPN
ejpam-3532	200	2	pure	pure	PROPN
ejpam-3532	200	3	appl	appl	PROPN
ejpam-3532	200	4	.	.	PROPN
ejpam-3532	200	5	math	math	PROPN
ejpam-3532	200	6	,	,	PUNCT
ejpam-3532	200	7	12	12	NUM
ejpam-3532	200	8	(	(	PUNCT
ejpam-3532	200	9	4	4	NUM
ejpam-3532	200	10	)	)	PUNCT
ejpam-3532	200	11	(	(	PUNCT
ejpam-3532	200	12	2019	2019	NUM
ejpam-3532	200	13	)	)	PUNCT
ejpam-3532	200	14	,	,	PUNCT
ejpam-3532	200	15	1533	1533	NUM
ejpam-3532	200	16	-	-	SYM
ejpam-3532	200	17	1552	1552	NUM
ejpam-3532	200	18	1541	1541	NUM
ejpam-3532	200	19	thus	thus	ADV
ejpam-3532	200	20	sv	sv	X
ejpam-3532	200	21	≥	≥	NOUN
ejpam-3532	200	22	0	0	NUM
ejpam-3532	200	23	for	for	ADP
ejpam-3532	200	24	sv0	sv0	ADJ
ejpam-3532	200	25	≥	≥	NOUN
ejpam-3532	200	26	0	0	NUM
ejpam-3532	200	27	.	.	PUNCT
ejpam-3532	201	1	positivity	positivity	NOUN
ejpam-3532	201	2	of	of	ADP
ejpam-3532	201	3	the	the	DET
ejpam-3532	201	4	number	number	NOUN
ejpam-3532	201	5	of	of	ADP
ejpam-3532	201	6	infected	infected	ADJ
ejpam-3532	201	7	mosquitoes	mosquito	NOUN
ejpam-3532	201	8	iv	iv	X
ejpam-3532	201	9	:	:	PUNCT
ejpam-3532	201	10	βv	βv	INTJ
ejpam-3532	202	1	i	i	PRON
ejpam-3532	202	2	nh	nh	PROPN
ejpam-3532	202	3	sv	sv	PROPN
ejpam-3532	202	4	≥	≥	PROPN
ejpam-3532	202	5	0	0	NUM
ejpam-3532	202	6	.	.	PUNCT
ejpam-3532	203	1	that	that	PRON
ejpam-3532	203	2	implies	imply	VERB
ejpam-3532	203	3	that	that	SCONJ
ejpam-3532	203	4	div	div	PROPN
ejpam-3532	203	5	dt	dt	X
ejpam-3532	203	6	≥	≥	PROPN
ejpam-3532	203	7	−dv	−dv	PROPN
ejpam-3532	203	8	iv	iv	NUM
ejpam-3532	203	9	−	−	PROPN
ejpam-3532	203	10	d2vnv	d2vnv	NOUN
ejpam-3532	203	11	iv	iv	NUM
ejpam-3532	203	12	.	.	PUNCT
ejpam-3532	204	1	(	(	PUNCT
ejpam-3532	204	2	17	17	NUM
ejpam-3532	204	3	)	)	PUNCT
ejpam-3532	204	4	by	by	ADP
ejpam-3532	204	5	separating	separate	VERB
ejpam-3532	204	6	the	the	DET
ejpam-3532	204	7	variables	variable	NOUN
ejpam-3532	204	8	and	and	CCONJ
ejpam-3532	204	9	integrating	integrating	NOUN
ejpam-3532	204	10	,	,	PUNCT
ejpam-3532	204	11	iv	iv	NUM
ejpam-3532	204	12	≥	≥	NOUN
ejpam-3532	204	13	iv0	iv0	PROPN
ejpam-3532	204	14	exp	exp	PROPN
ejpam-3532	204	15	(	(	PUNCT
ejpam-3532	204	16	−dv	−dv	PROPN
ejpam-3532	204	17	−	−	PROPN
ejpam-3532	204	18	d2vnv	d2vnv	NOUN
ejpam-3532	204	19	)	)	PUNCT
ejpam-3532	204	20	.	.	PUNCT
ejpam-3532	205	1	(	(	PUNCT
ejpam-3532	205	2	18	18	NUM
ejpam-3532	205	3	)	)	PUNCT
ejpam-3532	205	4	we	we	PRON
ejpam-3532	205	5	deduce	deduce	VERB
ejpam-3532	205	6	that	that	SCONJ
ejpam-3532	205	7	iv	iv	NUM
ejpam-3532	205	8	≥	≥	NOUN
ejpam-3532	205	9	0	0	NUM
ejpam-3532	205	10	for	for	ADP
ejpam-3532	205	11	iv0	iv0	PROPN
ejpam-3532	205	12	≥	≥	NOUN
ejpam-3532	205	13	0	0	NUM
ejpam-3532	205	14	.	.	PUNCT
ejpam-3532	206	1	we	we	PRON
ejpam-3532	206	2	have	have	AUX
ejpam-3532	206	3	shown	show	VERB
ejpam-3532	206	4	that	that	SCONJ
ejpam-3532	206	5	∀	∀	NOUN
ejpam-3532	206	6	(	(	PUNCT
ejpam-3532	206	7	s0	s0	PROPN
ejpam-3532	206	8	,	,	PUNCT
ejpam-3532	206	9	i0	i0	PROPN
ejpam-3532	206	10	,	,	PUNCT
ejpam-3532	206	11	rf0	rf0	NOUN
ejpam-3532	206	12	,	,	PUNCT
ejpam-3532	206	13	rw0	rw0	NOUN
ejpam-3532	206	14	,	,	PUNCT
ejpam-3532	206	15	rc0	rc0	PROPN
ejpam-3532	206	16	,	,	PUNCT
ejpam-3532	206	17	sv0	sv0	ADJ
ejpam-3532	206	18	,	,	PUNCT
ejpam-3532	206	19	iv0	iv0	NOUN
ejpam-3532	206	20	,	,	PUNCT
ejpam-3532	206	21	nh0	nh0	ADJ
ejpam-3532	206	22	,	,	PUNCT
ejpam-3532	206	23	nv0	nv0	ADV
ejpam-3532	206	24	)	)	PUNCT
ejpam-3532	206	25	t	t	PROPN
ejpam-3532	206	26	∈	∈	PROPN
ejpam-3532	206	27	ω	ω	PROPN
ejpam-3532	206	28	,	,	PUNCT
ejpam-3532	206	29	(	(	PUNCT
ejpam-3532	206	30	s	s	X
ejpam-3532	206	31	,	,	PUNCT
ejpam-3532	206	32	i	i	PRON
ejpam-3532	206	33	,	,	PUNCT
ejpam-3532	206	34	rf	rf	PRON
ejpam-3532	206	35	,	,	PUNCT
ejpam-3532	206	36	rw	rw	PROPN
ejpam-3532	206	37	,	,	PUNCT
ejpam-3532	206	38	rc	rc	PROPN
ejpam-3532	206	39	,	,	PUNCT
ejpam-3532	206	40	sv	sv	INTJ
ejpam-3532	206	41	,	,	PUNCT
ejpam-3532	206	42	iv	iv	X
ejpam-3532	206	43	)	)	PUNCT
ejpam-3532	206	44	t	t	PROPN
ejpam-3532	206	45	∈	∈	PROPN
ejpam-3532	206	46	ω1	ω1	PROPN
ejpam-3532	206	47	.	.	PUNCT
ejpam-3532	207	1	let	let	VERB
ejpam-3532	207	2	’s	’s	NOUN
ejpam-3532	207	3	show	show	VERB
ejpam-3532	207	4	now	now	ADV
ejpam-3532	207	5	that	that	SCONJ
ejpam-3532	207	6	∀	∀	PUNCT
ejpam-3532	207	7	(	(	PUNCT
ejpam-3532	207	8	s0	s0	PROPN
ejpam-3532	207	9	,	,	PUNCT
ejpam-3532	207	10	i0	i0	PROPN
ejpam-3532	207	11	,	,	PUNCT
ejpam-3532	207	12	rf0	rf0	NOUN
ejpam-3532	207	13	,	,	PUNCT
ejpam-3532	207	14	rw0	rw0	NOUN
ejpam-3532	207	15	,	,	PUNCT
ejpam-3532	207	16	rc0	rc0	PROPN
ejpam-3532	207	17	,	,	PUNCT
ejpam-3532	207	18	sv0	sv0	ADJ
ejpam-3532	207	19	,	,	PUNCT
ejpam-3532	207	20	iv0	iv0	NOUN
ejpam-3532	207	21	,	,	PUNCT
ejpam-3532	207	22	nh0	nh0	ADJ
ejpam-3532	207	23	,	,	PUNCT
ejpam-3532	207	24	nv0	nv0	ADV
ejpam-3532	207	25	)	)	PUNCT
ejpam-3532	207	26	t	t	PROPN
ejpam-3532	207	27	∈	∈	PROPN
ejpam-3532	207	28	ω	ω	PROPN
ejpam-3532	207	29	,	,	PUNCT
ejpam-3532	207	30	(	(	PUNCT
ejpam-3532	207	31	nh	nh	PROPN
ejpam-3532	207	32	,	,	PUNCT
ejpam-3532	207	33	nv	nv	PROPN
ejpam-3532	207	34	)	)	PUNCT
ejpam-3532	208	1	t	t	PROPN
ejpam-3532	208	2	∈	∈	PROPN
ejpam-3532	208	3	ω2	ω2	PROPN
ejpam-3532	208	4	.	.	PUNCT
ejpam-3532	209	1	for	for	ADP
ejpam-3532	209	2	that	that	PRON
ejpam-3532	209	3	we	we	PRON
ejpam-3532	209	4	must	must	AUX
ejpam-3532	209	5	show	show	VERB
ejpam-3532	209	6	that	that	SCONJ
ejpam-3532	209	7	0	0	PUNCT
ejpam-3532	209	8	<	<	X
ejpam-3532	209	9	nh	nh	PROPN
ejpam-3532	209	10	≤	≤	NUM
ejpam-3532	209	11	bh	bh	NOUN
ejpam-3532	209	12	−	−	PROPN
ejpam-3532	209	13	dh	dh	PROPN
ejpam-3532	209	14	d2h	d2h	PROPN
ejpam-3532	209	15	and	and	CCONJ
ejpam-3532	209	16	0	0	NUM
ejpam-3532	209	17	<	<	X
ejpam-3532	209	18	nv	nv	PROPN
ejpam-3532	209	19	≤	≤	PROPN
ejpam-3532	209	20	bv	bv	PROPN
ejpam-3532	209	21	−	−	PROPN
ejpam-3532	209	22	dv	dv	PROPN
ejpam-3532	209	23	d2v	d2v	PROPN
ejpam-3532	209	24	.	.	PUNCT
ejpam-3532	210	1	boundedness	boundedness	NOUN
ejpam-3532	210	2	of	of	ADP
ejpam-3532	210	3	the	the	DET
ejpam-3532	210	4	solutions	solution	NOUN
ejpam-3532	210	5	:	:	PUNCT
ejpam-3532	210	6	nh(t	nh(t	NUM
ejpam-3532	210	7	)	)	PUNCT
ejpam-3532	210	8	=	=	SYM
ejpam-3532	210	9	s(t	s(t	PROPN
ejpam-3532	210	10	)	)	PUNCT
ejpam-3532	210	11	+	+	NUM
ejpam-3532	210	12	i(t	i(t	NOUN
ejpam-3532	210	13	)	)	PUNCT
ejpam-3532	211	1	+	+	VERB
ejpam-3532	211	2	rf	rf	ADJ
ejpam-3532	211	3	(	(	PUNCT
ejpam-3532	211	4	t	t	NOUN
ejpam-3532	211	5	)	)	PUNCT
ejpam-3532	211	6	+	+	NOUN
ejpam-3532	211	7	rw	rw	ADJ
ejpam-3532	211	8	(	(	PUNCT
ejpam-3532	211	9	t	t	PROPN
ejpam-3532	211	10	)	)	PUNCT
ejpam-3532	211	11	+	+	NOUN
ejpam-3532	211	12	rc(t	rc(t	X
ejpam-3532	211	13	)	)	PUNCT
ejpam-3532	211	14	.	.	PUNCT
ejpam-3532	212	1	s(t	s(t	PROPN
ejpam-3532	212	2	)	)	PUNCT
ejpam-3532	212	3	,	,	PUNCT
ejpam-3532	212	4	i(t	i(t	PROPN
ejpam-3532	212	5	)	)	PUNCT
ejpam-3532	212	6	,	,	PUNCT
ejpam-3532	212	7	rf	rf	PROPN
ejpam-3532	212	8	(	(	PUNCT
ejpam-3532	212	9	t	t	PROPN
ejpam-3532	212	10	)	)	PUNCT
ejpam-3532	212	11	,	,	PUNCT
ejpam-3532	212	12	rw	rw	PROPN
ejpam-3532	212	13	(	(	PUNCT
ejpam-3532	212	14	t	t	PROPN
ejpam-3532	212	15	)	)	PUNCT
ejpam-3532	212	16	and	and	CCONJ
ejpam-3532	212	17	rc(t	rc(t	NUM
ejpam-3532	212	18	)	)	PUNCT
ejpam-3532	212	19	are	be	AUX
ejpam-3532	212	20	positive	positive	ADJ
ejpam-3532	212	21	.	.	PUNCT
ejpam-3532	213	1	thus	thus	ADV
ejpam-3532	213	2	nh	nh	PROPN
ejpam-3532	213	3	is	be	AUX
ejpam-3532	213	4	positive	positive	ADJ
ejpam-3532	213	5	.	.	PUNCT
ejpam-3532	214	1	from	from	ADP
ejpam-3532	214	2	dnh	dnh	NOUN
ejpam-3532	214	3	dt	dt	PUNCT
ejpam-3532	214	4	=	=	SYM
ejpam-3532	214	5	(	(	PUNCT
ejpam-3532	214	6	bh	bh	NOUN
ejpam-3532	214	7	−	−	PROPN
ejpam-3532	214	8	dh	dh	PROPN
ejpam-3532	214	9	)	)	PUNCT
ejpam-3532	214	10	1−	1−	PROPN
ejpam-3532	214	11	nh	nh	PROPN
ejpam-3532	214	12	bh	bh	PROPN
ejpam-3532	215	1	−	−	PROPN
ejpam-3532	215	2	dh	dh	PROPN
ejpam-3532	215	3	d2h	d2h	PROPN
ejpam-3532	215	4	nh	nh	VERB
ejpam-3532	215	5	−	−	PROPN
ejpam-3532	215	6	dii	dii	NOUN
ejpam-3532	215	7	,	,	PUNCT
ejpam-3532	215	8	we	we	PRON
ejpam-3532	215	9	obtain	obtain	VERB
ejpam-3532	215	10	the	the	DET
ejpam-3532	215	11	inequality	inequality	NOUN
ejpam-3532	215	12	dnh	dnh	NOUN
ejpam-3532	215	13	dt	dt	NOUN
ejpam-3532	215	14	≤	≤	PROPN
ejpam-3532	215	15	(	(	PUNCT
ejpam-3532	215	16	bh	bh	NOUN
ejpam-3532	215	17	−	−	PROPN
ejpam-3532	215	18	dh	dh	NOUN
ejpam-3532	215	19	−	−	PROPN
ejpam-3532	215	20	d2hnh)nh	d2hnh)nh	PROPN
ejpam-3532	215	21	.	.	PUNCT
ejpam-3532	216	1	(	(	PUNCT
ejpam-3532	216	2	19	19	NUM
ejpam-3532	216	3	)	)	PUNCT
ejpam-3532	216	4	after	after	ADP
ejpam-3532	216	5	separating	separate	VERB
ejpam-3532	216	6	the	the	DET
ejpam-3532	216	7	variables	variable	NOUN
ejpam-3532	216	8	and	and	CCONJ
ejpam-3532	216	9	integrating	integrating	NOUN
ejpam-3532	216	10	,	,	PUNCT
ejpam-3532	216	11	we	we	PRON
ejpam-3532	216	12	obtain	obtain	VERB
ejpam-3532	216	13	nh(t	nh(t	NOUN
ejpam-3532	216	14	)	)	PUNCT
ejpam-3532	217	1	≤	≤	NUM
ejpam-3532	217	2	bh	bh	NOUN
ejpam-3532	217	3	−	−	PROPN
ejpam-3532	217	4	dh	dh	PROPN
ejpam-3532	217	5	d2h	d2h	PROPN
ejpam-3532	217	6	(	(	PUNCT
ejpam-3532	217	7	1−	1−	NUM
ejpam-3532	217	8	exp(−(bh	exp(−(bh	PROPN
ejpam-3532	217	9	−	−	PROPN
ejpam-3532	217	10	dh)t	dh)t	PROPN
ejpam-3532	217	11	)	)	PUNCT
ejpam-3532	218	1	+	+	NOUN
ejpam-3532	218	2	nh0	nh0	VERB
ejpam-3532	218	3	exp(−(bh	exp(−(bh	PROPN
ejpam-3532	218	4	−	−	NOUN
ejpam-3532	218	5	dh)t	dh)t	PROPN
ejpam-3532	218	6	)	)	PUNCT
ejpam-3532	218	7	)	)	PUNCT
ejpam-3532	218	8	.	.	PUNCT
ejpam-3532	219	1	(	(	PUNCT
ejpam-3532	219	2	20	20	X
ejpam-3532	219	3	)	)	PUNCT
ejpam-3532	219	4	calculating	calculate	VERB
ejpam-3532	219	5	the	the	DET
ejpam-3532	219	6	limit	limit	NOUN
ejpam-3532	219	7	of	of	ADP
ejpam-3532	219	8	nh(t	nh(t	NOUN
ejpam-3532	219	9	)	)	PUNCT
ejpam-3532	219	10	when	when	SCONJ
ejpam-3532	219	11	t→	t→	PRON
ejpam-3532	219	12	+	+	NOUN
ejpam-3532	219	13	∞	∞	NOUN
ejpam-3532	219	14	we	we	PRON
ejpam-3532	219	15	finally	finally	ADV
ejpam-3532	219	16	obtain	obtain	VERB
ejpam-3532	219	17	nh(t	nh(t	NOUN
ejpam-3532	219	18	)	)	PUNCT
ejpam-3532	219	19	≤	≤	NUM
ejpam-3532	219	20	bh	bh	NOUN
ejpam-3532	219	21	−	−	PROPN
ejpam-3532	219	22	dh	dh	PROPN
ejpam-3532	219	23	d2h	d2h	PROPN
ejpam-3532	219	24	.	.	PUNCT
ejpam-3532	220	1	(	(	PUNCT
ejpam-3532	220	2	21	21	NUM
ejpam-3532	220	3	)	)	PUNCT
ejpam-3532	220	4	as	as	ADP
ejpam-3532	220	5	nv	nv	PROPN
ejpam-3532	220	6	(	(	PUNCT
ejpam-3532	220	7	t	t	PROPN
ejpam-3532	220	8	)	)	PUNCT
ejpam-3532	220	9	=	=	SYM
ejpam-3532	220	10	sv	sv	X
ejpam-3532	220	11	(	(	PUNCT
ejpam-3532	220	12	t	t	PROPN
ejpam-3532	220	13	)	)	PUNCT
ejpam-3532	220	14	+	+	NUM
ejpam-3532	220	15	iv	iv	NUM
ejpam-3532	220	16	(	(	PUNCT
ejpam-3532	220	17	t	t	PROPN
ejpam-3532	220	18	)	)	PUNCT
ejpam-3532	220	19	,	,	PUNCT
ejpam-3532	220	20	nv	nv	PROPN
ejpam-3532	220	21	(	(	PUNCT
ejpam-3532	220	22	t	t	PROPN
ejpam-3532	220	23	)	)	PUNCT
ejpam-3532	220	24	is	be	AUX
ejpam-3532	220	25	positive	positive	ADJ
ejpam-3532	220	26	.	.	PUNCT
ejpam-3532	221	1	dnv	dnv	PROPN
ejpam-3532	221	2	dt	dt	PROPN
ejpam-3532	222	1	=	=	PUNCT
ejpam-3532	223	1	(	(	PUNCT
ejpam-3532	223	2	bv	bv	PROPN
ejpam-3532	223	3	−	−	PROPN
ejpam-3532	223	4	dv	dv	PROPN
ejpam-3532	223	5	)	)	PUNCT
ejpam-3532	223	6	1−	1−	PROPN
ejpam-3532	223	7	nv	nv	PROPN
ejpam-3532	223	8	bv	bv	PROPN
ejpam-3532	224	1	−	−	PROPN
ejpam-3532	224	2	dv	dv	PROPN
ejpam-3532	224	3	d2v	d2v	PROPN
ejpam-3532	224	4	nv	nv	INTJ
ejpam-3532	224	5	.	.	PUNCT
ejpam-3532	225	1	after	after	ADP
ejpam-3532	225	2	integrating	integrate	VERB
ejpam-3532	225	3	we	we	PRON
ejpam-3532	225	4	obtain	obtain	VERB
ejpam-3532	225	5	nv	nv	PROPN
ejpam-3532	225	6	(	(	PUNCT
ejpam-3532	225	7	t	t	PROPN
ejpam-3532	225	8	)	)	PUNCT
ejpam-3532	225	9	=	=	SYM
ejpam-3532	226	1	nv0(bv	nv0(bv	PROPN
ejpam-3532	226	2	−	−	PROPN
ejpam-3532	226	3	dv	dv	PROPN
ejpam-3532	226	4	)	)	PUNCT
ejpam-3532	226	5	d2vnv0	d2vnv0	NOUN
ejpam-3532	226	6	+	+	PUNCT
ejpam-3532	226	7	(	(	PUNCT
ejpam-3532	226	8	bv	bv	PROPN
ejpam-3532	226	9	−	−	PROPN
ejpam-3532	226	10	dv	dv	PROPN
ejpam-3532	226	11	−	−	PROPN
ejpam-3532	226	12	d2vnv0	d2vnv0	NOUN
ejpam-3532	226	13	)	)	PUNCT
ejpam-3532	226	14	e−(bv	e−(bv	PROPN
ejpam-3532	226	15	−dv	−dv	PROPN
ejpam-3532	226	16	)	)	PUNCT
ejpam-3532	226	17	t	t	PROPN
ejpam-3532	226	18	.	.	PUNCT
ejpam-3532	227	1	(	(	PUNCT
ejpam-3532	227	2	22	22	NUM
ejpam-3532	227	3	)	)	PUNCT
ejpam-3532	227	4	famane	famane	NOUN
ejpam-3532	227	5	kambiré	kambiré	PROPN
ejpam-3532	227	6	et	et	PROPN
ejpam-3532	228	1	al	al	PROPN
ejpam-3532	228	2	.	.	PUNCT
ejpam-3532	228	3	/	/	SYM
ejpam-3532	228	4	eur	eur	PROPN
ejpam-3532	228	5	.	.	PUNCT
ejpam-3532	229	1	j.	j.	PROPN
ejpam-3532	229	2	pure	pure	PROPN
ejpam-3532	229	3	appl	appl	PROPN
ejpam-3532	229	4	.	.	PROPN
ejpam-3532	229	5	math	math	PROPN
ejpam-3532	229	6	,	,	PUNCT
ejpam-3532	229	7	12	12	NUM
ejpam-3532	229	8	(	(	PUNCT
ejpam-3532	229	9	4	4	NUM
ejpam-3532	229	10	)	)	PUNCT
ejpam-3532	229	11	(	(	PUNCT
ejpam-3532	229	12	2019	2019	NUM
ejpam-3532	229	13	)	)	PUNCT
ejpam-3532	229	14	,	,	PUNCT
ejpam-3532	229	15	1533	1533	NUM
ejpam-3532	229	16	-	-	SYM
ejpam-3532	229	17	1552	1552	NUM
ejpam-3532	229	18	1542	1542	NUM
ejpam-3532	229	19	lim	lim	PROPN
ejpam-3532	229	20	t→+∞	t→+∞	PROPN
ejpam-3532	229	21	nv	nv	PROPN
ejpam-3532	229	22	(	(	PUNCT
ejpam-3532	229	23	t	t	PROPN
ejpam-3532	229	24	)	)	PUNCT
ejpam-3532	230	1	=	=	SYM
ejpam-3532	230	2	bv	bv	PROPN
ejpam-3532	230	3	−	−	PROPN
ejpam-3532	230	4	dv	dv	PROPN
ejpam-3532	230	5	d2v	d2v	PROPN
ejpam-3532	230	6	.	.	PUNCT
ejpam-3532	231	1	(	(	PUNCT
ejpam-3532	231	2	23	23	NUM
ejpam-3532	231	3	)	)	PUNCT
ejpam-3532	231	4	from	from	ADP
ejpam-3532	231	5	the	the	DET
ejpam-3532	231	6	relation	relation	NOUN
ejpam-3532	231	7	22	22	NUM
ejpam-3532	231	8	we	we	PRON
ejpam-3532	231	9	find	find	VERB
ejpam-3532	231	10	dnv	dnv	PROPN
ejpam-3532	231	11	dt	dt	PROPN
ejpam-3532	231	12	(	(	PUNCT
ejpam-3532	231	13	t	t	PROPN
ejpam-3532	231	14	)	)	PUNCT
ejpam-3532	231	15	=	=	PUNCT
ejpam-3532	231	16	nv0	nv0	NOUN
ejpam-3532	231	17	(	(	PUNCT
ejpam-3532	231	18	bv	bv	PROPN
ejpam-3532	231	19	−	−	PROPN
ejpam-3532	231	20	dv	dv	PROPN
ejpam-3532	231	21	d2vnv0	d2vnv0	PROPN
ejpam-3532	232	1	+	+	CCONJ
ejpam-3532	232	2	(	(	PUNCT
ejpam-3532	232	3	bv	bv	PROPN
ejpam-3532	232	4	−	−	PROPN
ejpam-3532	232	5	dv	dv	PROPN
ejpam-3532	232	6	−	−	PROPN
ejpam-3532	232	7	d2vnv0)e−(bv	d2vnv0)e−(bv	PROPN
ejpam-3532	232	8	−dv	−dv	PROPN
ejpam-3532	232	9	)	)	PUNCT
ejpam-3532	232	10	t	t	NOUN
ejpam-3532	232	11	)	)	PUNCT
ejpam-3532	232	12	2	2	NUM
ejpam-3532	232	13	(	(	PUNCT
ejpam-3532	232	14	bv	bv	PROPN
ejpam-3532	232	15	−	−	PROPN
ejpam-3532	232	16	dv	dv	PROPN
ejpam-3532	232	17	−	−	PROPN
ejpam-3532	232	18	d2vnv0	d2vnv0	NOUN
ejpam-3532	232	19	)	)	PUNCT
ejpam-3532	232	20	e−(bv	e−(bv	PROPN
ejpam-3532	232	21	−dv	−dv	PROPN
ejpam-3532	232	22	)	)	PUNCT
ejpam-3532	232	23	t(24	t(24	CCONJ
ejpam-3532	232	24	)	)	PUNCT
ejpam-3532	232	25	for	for	ADP
ejpam-3532	232	26	(	(	PUNCT
ejpam-3532	232	27	nh	nh	PROPN
ejpam-3532	232	28	,	,	PUNCT
ejpam-3532	232	29	nv	nv	PROPN
ejpam-3532	232	30	)	)	PUNCT
ejpam-3532	232	31	t	t	PROPN
ejpam-3532	232	32	∈	∈	PROPN
ejpam-3532	232	33	ω2	ω2	PROPN
ejpam-3532	232	34	,	,	PUNCT
ejpam-3532	232	35	the	the	DET
ejpam-3532	232	36	relation	relation	NOUN
ejpam-3532	232	37	24	24	NUM
ejpam-3532	232	38	implies	imply	VERB
ejpam-3532	232	39	that	that	SCONJ
ejpam-3532	232	40	dnv	dnv	PROPN
ejpam-3532	232	41	dt	dt	PROPN
ejpam-3532	232	42	(	(	PUNCT
ejpam-3532	232	43	t	t	PROPN
ejpam-3532	232	44	)	)	PUNCT
ejpam-3532	232	45	≥	≥	NOUN
ejpam-3532	232	46	0	0	NUM
ejpam-3532	232	47	.	.	PUNCT
ejpam-3532	233	1	it	it	PRON
ejpam-3532	233	2	means	mean	VERB
ejpam-3532	233	3	that	that	SCONJ
ejpam-3532	233	4	nv	nv	PROPN
ejpam-3532	233	5	is	be	AUX
ejpam-3532	233	6	an	an	DET
ejpam-3532	233	7	increasing	increase	VERB
ejpam-3532	233	8	function	function	NOUN
ejpam-3532	233	9	.	.	PUNCT
ejpam-3532	234	1	using	use	VERB
ejpam-3532	234	2	the	the	DET
ejpam-3532	234	3	relation	relation	NOUN
ejpam-3532	234	4	23	23	NUM
ejpam-3532	234	5	,	,	PUNCT
ejpam-3532	234	6	we	we	PRON
ejpam-3532	234	7	obtain	obtain	VERB
ejpam-3532	234	8	∀t	∀t	PROPN
ejpam-3532	234	9	∈	∈	NOUN
ejpam-3532	235	1	[	[	X
ejpam-3532	235	2	0	0	NUM
ejpam-3532	235	3	;	;	PUNCT
ejpam-3532	235	4	+	+	X
ejpam-3532	235	5	∞	∞	PROPN
ejpam-3532	235	6	[	[	X
ejpam-3532	235	7	,	,	PUNCT
ejpam-3532	235	8	nv0	nv0	PROPN
ejpam-3532	235	9	≤	≤	PROPN
ejpam-3532	235	10	nv	nv	PROPN
ejpam-3532	235	11	(	(	PUNCT
ejpam-3532	235	12	t	t	PROPN
ejpam-3532	235	13	)	)	PUNCT
ejpam-3532	235	14	≤	≤	NUM
ejpam-3532	236	1	bv	bv	PROPN
ejpam-3532	236	2	−	−	PROPN
ejpam-3532	236	3	dv	dv	PROPN
ejpam-3532	236	4	d2v	d2v	PROPN
ejpam-3532	236	5	.	.	PUNCT
ejpam-3532	237	1	(	(	PUNCT
ejpam-3532	237	2	25	25	NUM
ejpam-3532	237	3	)	)	PUNCT
ejpam-3532	237	4	thus	thus	ADV
ejpam-3532	237	5	0	0	X
ejpam-3532	237	6	<	<	X
ejpam-3532	237	7	nv	nv	PROPN
ejpam-3532	237	8	(	(	PUNCT
ejpam-3532	237	9	t	t	PROPN
ejpam-3532	237	10	)	)	PUNCT
ejpam-3532	237	11	≤	≤	NUM
ejpam-3532	237	12	bv	bv	PROPN
ejpam-3532	237	13	−	−	PROPN
ejpam-3532	237	14	dv	dv	PROPN
ejpam-3532	237	15	b2v	b2v	PROPN
ejpam-3532	237	16	.	.	PUNCT
ejpam-3532	238	1	therefore	therefore	ADV
ejpam-3532	238	2	(	(	PUNCT
ejpam-3532	238	3	nh	nh	PROPN
ejpam-3532	238	4	,	,	PUNCT
ejpam-3532	238	5	nv	nv	PROPN
ejpam-3532	238	6	)	)	PUNCT
ejpam-3532	238	7	t	t	PROPN
ejpam-3532	238	8	∈	∈	PROPN
ejpam-3532	238	9	ω2	ω2	PROPN
ejpam-3532	238	10	�	�	PROPN
ejpam-3532	238	11	theorem	theorem	VERB
ejpam-3532	238	12	1	1	NUM
ejpam-3532	238	13	shows	show	VERB
ejpam-3532	238	14	that	that	SCONJ
ejpam-3532	238	15	the	the	DET
ejpam-3532	238	16	model	model	NOUN
ejpam-3532	238	17	(	(	PUNCT
ejpam-3532	238	18	1	1	X
ejpam-3532	238	19	)	)	PUNCT
ejpam-3532	238	20	is	be	AUX
ejpam-3532	238	21	well	well	ADV
ejpam-3532	238	22	posed	pose	VERB
ejpam-3532	238	23	from	from	ADP
ejpam-3532	238	24	a	a	DET
ejpam-3532	238	25	mathematical	mathematical	ADJ
ejpam-3532	238	26	and	and	CCONJ
ejpam-3532	238	27	epidemiological	epidemiological	ADJ
ejpam-3532	238	28	standpoint	standpoint	NOUN
ejpam-3532	238	29	.	.	PUNCT
ejpam-3532	239	1	3.2	3.2	NUM
ejpam-3532	239	2	.	.	PUNCT
ejpam-3532	239	3	disease	disease	NOUN
ejpam-3532	239	4	free	free	ADJ
ejpam-3532	239	5	equilibrium	equilibrium	NOUN
ejpam-3532	239	6	and	and	CCONJ
ejpam-3532	239	7	basic	basic	ADJ
ejpam-3532	239	8	reproduction	reproduction	NOUN
ejpam-3532	239	9	number	number	NOUN
ejpam-3532	239	10	r0	r0	NOUN
ejpam-3532	239	11	3.2.1	3.2.1	NUM
ejpam-3532	239	12	.	.	PUNCT
ejpam-3532	240	1	disease	disease	NOUN
ejpam-3532	240	2	free	free	PROPN
ejpam-3532	240	3	equilibrium	equilibrium	NOUN
ejpam-3532	240	4	theorem	theorem	VERB
ejpam-3532	240	5	2	2	NUM
ejpam-3532	240	6	.	.	PUNCT
ejpam-3532	241	1	the	the	DET
ejpam-3532	241	2	model	model	NOUN
ejpam-3532	241	3	(	(	PUNCT
ejpam-3532	241	4	1	1	X
ejpam-3532	241	5	)	)	PUNCT
ejpam-3532	241	6	has	have	VERB
ejpam-3532	241	7	a	a	DET
ejpam-3532	241	8	unique	unique	ADJ
ejpam-3532	241	9	disease	disease	NOUN
ejpam-3532	241	10	free	free	ADJ
ejpam-3532	241	11	equilibrium	equilibrium	NOUN
ejpam-3532	241	12	given	give	VERB
ejpam-3532	241	13	by	by	ADP
ejpam-3532	241	14	edfe	edfe	NOUN
ejpam-3532	241	15	=	=	SYM
ejpam-3532	241	16	(	(	PUNCT
ejpam-3532	241	17	bh	bh	NOUN
ejpam-3532	241	18	−	−	PROPN
ejpam-3532	241	19	dh	dh	PROPN
ejpam-3532	241	20	d2h	d2h	PROPN
ejpam-3532	241	21	,	,	PUNCT
ejpam-3532	241	22	0	0	NUM
ejpam-3532	241	23	,	,	PUNCT
ejpam-3532	241	24	0	0	NUM
ejpam-3532	241	25	,	,	PUNCT
ejpam-3532	241	26	0	0	NUM
ejpam-3532	241	27	,	,	PUNCT
ejpam-3532	241	28	0	0	NUM
ejpam-3532	241	29	,	,	PUNCT
ejpam-3532	241	30	bv	bv	PROPN
ejpam-3532	241	31	−	−	PROPN
ejpam-3532	241	32	dv	dv	PROPN
ejpam-3532	241	33	d2v	d2v	PROPN
ejpam-3532	241	34	,	,	PUNCT
ejpam-3532	241	35	0	0	NUM
ejpam-3532	241	36	,	,	PUNCT
ejpam-3532	241	37	bh	bh	NOUN
ejpam-3532	241	38	−	−	PROPN
ejpam-3532	241	39	dh	dh	PROPN
ejpam-3532	241	40	d2h	d2h	PROPN
ejpam-3532	241	41	,	,	PUNCT
ejpam-3532	241	42	bv	bv	PROPN
ejpam-3532	241	43	−	−	PROPN
ejpam-3532	241	44	dv	dv	PROPN
ejpam-3532	241	45	d2v	d2v	PROPN
ejpam-3532	241	46	)	)	PUNCT
ejpam-3532	241	47	t	t	PROPN
ejpam-3532	241	48	.	.	PUNCT
ejpam-3532	242	1	(	(	PUNCT
ejpam-3532	242	2	26	26	NUM
ejpam-3532	242	3	)	)	PUNCT
ejpam-3532	242	4	proof	proof	NOUN
ejpam-3532	242	5	when	when	SCONJ
ejpam-3532	242	6	there	there	PRON
ejpam-3532	242	7	is	be	VERB
ejpam-3532	242	8	no	no	DET
ejpam-3532	242	9	disease	disease	NOUN
ejpam-3532	242	10	,	,	PUNCT
ejpam-3532	242	11	i	i	PRON
ejpam-3532	242	12	=	=	SYM
ejpam-3532	242	13	iv	iv	NUM
ejpam-3532	242	14	=	=	NOUN
ejpam-3532	242	15	0	0	X
ejpam-3532	242	16	.	.	PUNCT
ejpam-3532	243	1	we	we	PRON
ejpam-3532	243	2	note	note	VERB
ejpam-3532	243	3	the	the	DET
ejpam-3532	243	4	disease	disease	NOUN
ejpam-3532	243	5	free	free	ADJ
ejpam-3532	243	6	equilibrium	equilibrium	NOUN
ejpam-3532	243	7	by	by	ADP
ejpam-3532	243	8	edfe	edfe	NOUN
ejpam-3532	243	9	=	=	SYM
ejpam-3532	243	10	(	(	PUNCT
ejpam-3532	243	11	ss	ss	PROPN
ejpam-3532	243	12	,	,	PUNCT
ejpam-3532	243	13	0	0	NUM
ejpam-3532	243	14	,	,	PUNCT
ejpam-3532	243	15	rs	rs	PROPN
ejpam-3532	243	16	f	f	NOUN
ejpam-3532	243	17	,	,	PUNCT
ejpam-3532	243	18	r	r	PROPN
ejpam-3532	243	19	s	s	PROPN
ejpam-3532	243	20	w	w	NOUN
ejpam-3532	243	21	,	,	PUNCT
ejpam-3532	244	1	r	r	NOUN
ejpam-3532	244	2	s	s	AUX
ejpam-3532	244	3	c	c	NOUN
ejpam-3532	244	4	,	,	PUNCT
ejpam-3532	244	5	s	s	NOUN
ejpam-3532	244	6	s	s	NOUN
ejpam-3532	244	7	v	v	NOUN
ejpam-3532	244	8	,	,	PUNCT
ejpam-3532	244	9	0	0	NUM
ejpam-3532	244	10	,	,	PUNCT
ejpam-3532	244	11	n	n	PROPN
ejpam-3532	244	12	s	s	NOUN
ejpam-3532	244	13	h	h	NOUN
ejpam-3532	244	14	,	,	PUNCT
ejpam-3532	244	15	n	n	PROPN
ejpam-3532	244	16	s	s	PROPN
ejpam-3532	244	17	v	v	NOUN
ejpam-3532	244	18	)	)	PUNCT
ejpam-3532	244	19	t	t	NOUN
ejpam-3532	245	1	where	where	SCONJ
ejpam-3532	245	2	n	n	PROPN
ejpam-3532	245	3	s	s	NOUN
ejpam-3532	245	4	h	h	NOUN
ejpam-3532	245	5	and	and	CCONJ
ejpam-3532	245	6	n	n	PRON
ejpam-3532	245	7	s	s	NOUN
ejpam-3532	245	8	v	v	NOUN
ejpam-3532	245	9	are	be	AUX
ejpam-3532	245	10	the	the	DET
ejpam-3532	245	11	total	total	ADJ
ejpam-3532	245	12	populations	population	NOUN
ejpam-3532	245	13	respectively	respectively	ADV
ejpam-3532	245	14	of	of	ADP
ejpam-3532	245	15	humans	human	NOUN
ejpam-3532	245	16	and	and	CCONJ
ejpam-3532	245	17	mosquitoes	mosquito	NOUN
ejpam-3532	245	18	at	at	ADP
ejpam-3532	245	19	the	the	DET
ejpam-3532	245	20	equilibrium	equilibrium	NOUN
ejpam-3532	245	21	.	.	PUNCT
ejpam-3532	246	1	so	so	ADV
ejpam-3532	246	2	nh	nh	PROPN
ejpam-3532	246	3	6=	6=	ADP
ejpam-3532	246	4	0	0	NUM
ejpam-3532	246	5	and	and	CCONJ
ejpam-3532	246	6	nv	nv	PROPN
ejpam-3532	246	7	6=	6=	PROPN
ejpam-3532	246	8	0	0	NUM
ejpam-3532	246	9	.	.	PUNCT
ejpam-3532	247	1	famane	famane	PROPN
ejpam-3532	247	2	kambiré	kambiré	PROPN
ejpam-3532	247	3	et	et	PROPN
ejpam-3532	248	1	al	al	PROPN
ejpam-3532	248	2	.	.	PUNCT
ejpam-3532	248	3	/	/	SYM
ejpam-3532	248	4	eur	eur	PROPN
ejpam-3532	248	5	.	.	PUNCT
ejpam-3532	249	1	j.	j.	PROPN
ejpam-3532	249	2	pure	pure	PROPN
ejpam-3532	249	3	appl	appl	PROPN
ejpam-3532	249	4	.	.	PROPN
ejpam-3532	249	5	math	math	PROPN
ejpam-3532	249	6	,	,	PUNCT
ejpam-3532	249	7	12	12	NUM
ejpam-3532	249	8	(	(	PUNCT
ejpam-3532	249	9	4	4	NUM
ejpam-3532	249	10	)	)	PUNCT
ejpam-3532	249	11	(	(	PUNCT
ejpam-3532	249	12	2019	2019	NUM
ejpam-3532	249	13	)	)	PUNCT
ejpam-3532	249	14	,	,	PUNCT
ejpam-3532	249	15	1533	1533	NUM
ejpam-3532	249	16	-	-	SYM
ejpam-3532	249	17	1552	1552	NUM
ejpam-3532	249	18	1543	1543	NUM
ejpam-3532	249	19	by	by	ADP
ejpam-3532	249	20	replacing	replace	VERB
ejpam-3532	249	21	i	i	PRON
ejpam-3532	249	22	and	and	CCONJ
ejpam-3532	249	23	iv	iv	NUM
ejpam-3532	249	24	by	by	ADP
ejpam-3532	249	25	0	0	NUM
ejpam-3532	249	26	in	in	ADP
ejpam-3532	249	27	the	the	DET
ejpam-3532	249	28	model	model	NOUN
ejpam-3532	249	29	(	(	PUNCT
ejpam-3532	249	30	1	1	NUM
ejpam-3532	249	31	)	)	PUNCT
ejpam-3532	249	32	,	,	PUNCT
ejpam-3532	249	33	we	we	PRON
ejpam-3532	249	34	find	find	VERB
ejpam-3532	249	35	edfe	edfe	NOUN
ejpam-3532	249	36	after	after	ADP
ejpam-3532	249	37	solving	solve	VERB
ejpam-3532	249	38	the	the	DET
ejpam-3532	249	39	sytem	sytem	NOUN
ejpam-3532	249	40	below:	below:	NOUN
ejpam-3532	249	41	bhnh	bhnh	NOUN
ejpam-3532	249	42	+	+	CCONJ
ejpam-3532	249	43	σrc	σrc	PROPN
ejpam-3532	249	44	−	−	PROPN
ejpam-3532	249	45	dhss	dhss	NOUN
ejpam-3532	249	46	−	−	PROPN
ejpam-3532	249	47	d2hnhs	d2hnhs	PROPN
ejpam-3532	249	48	s	s	PART
ejpam-3532	249	49	=	=	SYM
ejpam-3532	249	50	0	0	NUM
ejpam-3532	249	51	−	−	PROPN
ejpam-3532	249	52	(	(	PUNCT
ejpam-3532	249	53	µ+	µ+	X
ejpam-3532	249	54	dh)rs	dh)rs	PROPN
ejpam-3532	249	55	f	f	X
ejpam-3532	249	56	−	−	PROPN
ejpam-3532	249	57	d2hn	d2hn	PROPN
ejpam-3532	249	58	s	s	PART
ejpam-3532	250	1	hr	hr	NOUN
ejpam-3532	250	2	s	s	X
ejpam-3532	250	3	f	f	NOUN
ejpam-3532	250	4	=	=	SYM
ejpam-3532	250	5	0	0	PROPN
ejpam-3532	250	6	−(µ+	−(µ+	NUM
ejpam-3532	250	7	dh)rs	dh)rs	PROPN
ejpam-3532	250	8	f	f	X
ejpam-3532	250	9	−	−	NOUN
ejpam-3532	250	10	d2hn	d2hn	PROPN
ejpam-3532	250	11	s	s	PART
ejpam-3532	250	12	hr	hr	NOUN
ejpam-3532	250	13	s	s	X
ejpam-3532	250	14	f	f	NOUN
ejpam-3532	250	15	=	=	SYM
ejpam-3532	250	16	0	0	PROPN
ejpam-3532	250	17	µrs	µrs	PROPN
ejpam-3532	250	18	f	f	PROPN
ejpam-3532	250	19	−	−	PROPN
ejpam-3532	250	20	(	(	PUNCT
ejpam-3532	250	21	dh	dh	NOUN
ejpam-3532	250	22	+	+	CCONJ
ejpam-3532	250	23	λ)rs	λ)rs	PROPN
ejpam-3532	250	24	w	w	PROPN
ejpam-3532	250	25	−	−	PROPN
ejpam-3532	250	26	d2hn	d2hn	PROPN
ejpam-3532	250	27	s	s	PART
ejpam-3532	250	28	hr	hr	NOUN
ejpam-3532	250	29	s	s	PROPN
ejpam-3532	250	30	w	w	NOUN
ejpam-3532	250	31	=	=	SYM
ejpam-3532	250	32	0	0	NUM
ejpam-3532	250	33	λrs	λrs	NOUN
ejpam-3532	250	34	w	w	NOUN
ejpam-3532	250	35	−	−	PROPN
ejpam-3532	250	36	(	(	PUNCT
ejpam-3532	250	37	dh	dh	NOUN
ejpam-3532	250	38	+	+	CCONJ
ejpam-3532	250	39	σ)rs	σ)rs	PROPN
ejpam-3532	250	40	c	c	PROPN
ejpam-3532	250	41	−	−	NOUN
ejpam-3532	250	42	d2hn	d2hn	PROPN
ejpam-3532	250	43	s	s	PART
ejpam-3532	250	44	hr	hr	NOUN
ejpam-3532	250	45	s	s	NOUN
ejpam-3532	250	46	c	c	NOUN
ejpam-3532	250	47	=	=	SYM
ejpam-3532	250	48	0	0	NUM
ejpam-3532	250	49	bvn	bvn	PROPN
ejpam-3532	250	50	s	s	PART
ejpam-3532	250	51	v	v	NOUN
ejpam-3532	250	52	−	−	PROPN
ejpam-3532	251	1	dv	dv	PROPN
ejpam-3532	251	2	ss	ss	PROPN
ejpam-3532	251	3	v	v	PROPN
ejpam-3532	251	4	−	−	PROPN
ejpam-3532	251	5	d2vn	d2vn	PUNCT
ejpam-3532	251	6	s	s	VERB
ejpam-3532	251	7	v	v	ADP
ejpam-3532	251	8	s	s	NOUN
ejpam-3532	251	9	s	s	NOUN
ejpam-3532	251	10	v	v	NOUN
ejpam-3532	251	11	=	=	SYM
ejpam-3532	251	12	0	0	PUNCT
ejpam-3532	252	1	(	(	PUNCT
ejpam-3532	252	2	bh	bh	NOUN
ejpam-3532	252	3	−	−	PROPN
ejpam-3532	252	4	dh	dh	PROPN
ejpam-3532	252	5	)	)	PUNCT
ejpam-3532	252	6	1−	1−	PROPN
ejpam-3532	252	7	nh	nh	PROPN
ejpam-3532	252	8	bh	bh	PROPN
ejpam-3532	253	1	−	−	PROPN
ejpam-3532	253	2	dh	dh	PROPN
ejpam-3532	253	3	d2h	d2h	PROPN
ejpam-3532	253	4	nh	nh	NOUN
ejpam-3532	253	5	=	=	SYM
ejpam-3532	253	6	0	0	PUNCT
ejpam-3532	254	1	(	(	PUNCT
ejpam-3532	254	2	bv	bv	PROPN
ejpam-3532	254	3	−	−	PROPN
ejpam-3532	254	4	dv	dv	PROPN
ejpam-3532	254	5	)	)	PUNCT
ejpam-3532	254	6	1−	1−	PROPN
ejpam-3532	254	7	nv	nv	PROPN
ejpam-3532	254	8	bv	bv	PROPN
ejpam-3532	255	1	−	−	PROPN
ejpam-3532	255	2	dv	dv	PROPN
ejpam-3532	255	3	d2v	d2v	PROPN
ejpam-3532	255	4	nv	nv	PUNCT
ejpam-3532	256	1	=	=	PUNCT
ejpam-3532	256	2	0	0	PUNCT
ejpam-3532	256	3	(	(	PUNCT
ejpam-3532	256	4	27	27	NUM
ejpam-3532	256	5	)	)	PUNCT
ejpam-3532	256	6	after	after	ADP
ejpam-3532	256	7	solving	solve	VERB
ejpam-3532	256	8	,	,	PUNCT
ejpam-3532	256	9	we	we	PRON
ejpam-3532	256	10	find	find	VERB
ejpam-3532	256	11	n	n	PRON
ejpam-3532	256	12	s	s	NOUN
ejpam-3532	256	13	h	h	NOUN
ejpam-3532	256	14	=	=	NOUN
ejpam-3532	256	15	bh	bh	PROPN
ejpam-3532	256	16	−	−	PROPN
ejpam-3532	256	17	dh	dh	PROPN
ejpam-3532	256	18	d2h	d2h	PROPN
ejpam-3532	256	19	,	,	PUNCT
ejpam-3532	256	20	n	n	PROPN
ejpam-3532	256	21	s	s	PROPN
ejpam-3532	256	22	v	v	NOUN
ejpam-3532	256	23	=	=	SYM
ejpam-3532	256	24	bv	bv	PROPN
ejpam-3532	257	1	−	−	PROPN
ejpam-3532	258	1	dv	dv	PROPN
ejpam-3532	258	2	d2v	d2v	PROPN
ejpam-3532	258	3	,	,	PUNCT
ejpam-3532	258	4	ss	ss	NOUN
ejpam-3532	258	5	=	=	PUNCT
ejpam-3532	258	6	n	n	PROPN
ejpam-3532	258	7	s	s	NOUN
ejpam-3532	258	8	h	h	NOUN
ejpam-3532	258	9	,	,	PUNCT
ejpam-3532	258	10	ss	ss	PRON
ejpam-3532	258	11	v	v	NOUN
ejpam-3532	258	12	=	=	SYM
ejpam-3532	258	13	n	n	NOUN
ejpam-3532	258	14	s	s	NOUN
ejpam-3532	258	15	v	v	NOUN
ejpam-3532	258	16	and	and	CCONJ
ejpam-3532	258	17	rf	rf	PROPN
ejpam-3532	258	18	=	=	PROPN
ejpam-3532	258	19	rc	rc	PROPN
ejpam-3532	258	20	=	=	PROPN
ejpam-3532	258	21	rw	rw	PROPN
ejpam-3532	259	1	=	=	NOUN
ejpam-3532	259	2	0	0	PROPN
ejpam-3532	259	3	.	.	PUNCT
ejpam-3532	259	4	thus	thus	ADV
ejpam-3532	259	5	edfe	edfe	VERB
ejpam-3532	259	6	=	=	SYM
ejpam-3532	259	7	(	(	PUNCT
ejpam-3532	259	8	bh	bh	NOUN
ejpam-3532	259	9	−	−	PROPN
ejpam-3532	259	10	dh	dh	PROPN
ejpam-3532	259	11	d2h	d2h	PROPN
ejpam-3532	259	12	,	,	PUNCT
ejpam-3532	259	13	0	0	NUM
ejpam-3532	259	14	,	,	PUNCT
ejpam-3532	259	15	0	0	NUM
ejpam-3532	259	16	,	,	PUNCT
ejpam-3532	259	17	0	0	NUM
ejpam-3532	259	18	,	,	PUNCT
ejpam-3532	259	19	0	0	NUM
ejpam-3532	259	20	,	,	PUNCT
ejpam-3532	259	21	bv	bv	PROPN
ejpam-3532	259	22	−	−	PROPN
ejpam-3532	259	23	dv	dv	PROPN
ejpam-3532	259	24	d2v	d2v	PROPN
ejpam-3532	259	25	,	,	PUNCT
ejpam-3532	259	26	0	0	NUM
ejpam-3532	259	27	,	,	PUNCT
ejpam-3532	259	28	bh	bh	NOUN
ejpam-3532	259	29	−	−	PROPN
ejpam-3532	259	30	dh	dh	PROPN
ejpam-3532	259	31	d2h	d2h	PROPN
ejpam-3532	259	32	,	,	PUNCT
ejpam-3532	259	33	bv	bv	PROPN
ejpam-3532	259	34	−	−	PROPN
ejpam-3532	259	35	dv	dv	PROPN
ejpam-3532	259	36	d2v	d2v	PROPN
ejpam-3532	259	37	)	)	PUNCT
ejpam-3532	259	38	t	t	PROPN
ejpam-3532	259	39	�	�	PROPN
ejpam-3532	259	40	3.2.2	3.2.2	NUM
ejpam-3532	259	41	.	.	PUNCT
ejpam-3532	259	42	basic	basic	ADJ
ejpam-3532	259	43	reproduction	reproduction	NOUN
ejpam-3532	259	44	number	number	NOUN
ejpam-3532	259	45	the	the	DET
ejpam-3532	259	46	basic	basic	ADJ
ejpam-3532	259	47	reproduction	reproduction	NOUN
ejpam-3532	259	48	number	number	NOUN
ejpam-3532	259	49	is	be	AUX
ejpam-3532	259	50	the	the	DET
ejpam-3532	259	51	average	average	ADJ
ejpam-3532	259	52	number	number	NOUN
ejpam-3532	259	53	of	of	ADP
ejpam-3532	259	54	secondary	secondary	ADJ
ejpam-3532	259	55	infections	infection	NOUN
ejpam-3532	259	56	produced	produce	VERB
ejpam-3532	259	57	by	by	ADP
ejpam-3532	259	58	a	a	DET
ejpam-3532	259	59	single	single	ADJ
ejpam-3532	259	60	infected	infected	ADJ
ejpam-3532	259	61	individual	individual	NOUN
ejpam-3532	259	62	in	in	ADP
ejpam-3532	259	63	a	a	DET
ejpam-3532	259	64	population	population	NOUN
ejpam-3532	259	65	completely	completely	ADV
ejpam-3532	259	66	susceptible	susceptible	ADJ
ejpam-3532	259	67	.	.	PUNCT
ejpam-3532	260	1	we	we	PRON
ejpam-3532	260	2	determine	determine	VERB
ejpam-3532	260	3	the	the	DET
ejpam-3532	260	4	basic	basic	ADJ
ejpam-3532	260	5	reproduction	reproduction	NOUN
ejpam-3532	260	6	number	number	NOUN
ejpam-3532	260	7	by	by	ADP
ejpam-3532	260	8	using	use	VERB
ejpam-3532	260	9	the	the	DET
ejpam-3532	260	10	next	next	ADJ
ejpam-3532	260	11	generation	generation	NOUN
ejpam-3532	260	12	method	method	NOUN
ejpam-3532	260	13	described	describe	VERB
ejpam-3532	260	14	in	in	ADP
ejpam-3532	260	15	[	[	X
ejpam-3532	260	16	11	11	NUM
ejpam-3532	260	17	,	,	PUNCT
ejpam-3532	260	18	17	17	NUM
ejpam-3532	260	19	]	]	PUNCT
ejpam-3532	260	20	.	.	PUNCT
ejpam-3532	261	1	after	after	ADP
ejpam-3532	261	2	chikungunya	chikungunya	NOUN
ejpam-3532	261	3	disease	disease	NOUN
ejpam-3532	261	4	,	,	PUNCT
ejpam-3532	261	5	recovered	recover	VERB
ejpam-3532	261	6	humans	human	NOUN
ejpam-3532	261	7	no	no	ADV
ejpam-3532	261	8	longer	long	ADV
ejpam-3532	261	9	have	have	VERB
ejpam-3532	261	10	virus	virus	NOUN
ejpam-3532	261	11	in	in	ADP
ejpam-3532	261	12	their	their	PRON
ejpam-3532	261	13	body	body	NOUN
ejpam-3532	261	14	.	.	PUNCT
ejpam-3532	262	1	so	so	ADV
ejpam-3532	262	2	the	the	DET
ejpam-3532	262	3	infected	infected	ADJ
ejpam-3532	262	4	compartments	compartment	NOUN
ejpam-3532	262	5	are	be	AUX
ejpam-3532	262	6	only	only	ADV
ejpam-3532	262	7	i	i	PRON
ejpam-3532	262	8	and	and	CCONJ
ejpam-3532	262	9	iv	iv	INTJ
ejpam-3532	262	10	.	.	PUNCT
ejpam-3532	263	1	we	we	PRON
ejpam-3532	263	2	define	define	VERB
ejpam-3532	263	3	the	the	DET
ejpam-3532	263	4	new	new	ADJ
ejpam-3532	263	5	infections	infection	NOUN
ejpam-3532	263	6	rates	rate	NOUN
ejpam-3532	263	7	in	in	ADP
ejpam-3532	263	8	the	the	DET
ejpam-3532	263	9	infected	infect	VERB
ejpam-3532	263	10	comparments	comparment	NOUN
ejpam-3532	263	11	by	by	ADP
ejpam-3532	263	12	the	the	DET
ejpam-3532	263	13	relation	relation	NOUN
ejpam-3532	263	14	(	(	PUNCT
ejpam-3532	263	15	28	28	NUM
ejpam-3532	263	16	)	)	PUNCT
ejpam-3532	263	17	and	and	CCONJ
ejpam-3532	263	18	the	the	DET
ejpam-3532	263	19	exchange	exchange	NOUN
ejpam-3532	263	20	rates	rate	NOUN
ejpam-3532	263	21	of	of	ADP
ejpam-3532	263	22	each	each	DET
ejpam-3532	263	23	infected	infected	ADJ
ejpam-3532	263	24	compartment	compartment	NOUN
ejpam-3532	263	25	famane	famane	NOUN
ejpam-3532	263	26	kambiré	kambiré	PROPN
ejpam-3532	263	27	et	et	PROPN
ejpam-3532	263	28	al	al	PROPN
ejpam-3532	263	29	.	.	PUNCT
ejpam-3532	263	30	/	/	SYM
ejpam-3532	263	31	eur	eur	PROPN
ejpam-3532	263	32	.	.	PUNCT
ejpam-3532	264	1	j.	j.	PROPN
ejpam-3532	264	2	pure	pure	PROPN
ejpam-3532	264	3	appl	appl	PROPN
ejpam-3532	264	4	.	.	PROPN
ejpam-3532	264	5	math	math	PROPN
ejpam-3532	264	6	,	,	PUNCT
ejpam-3532	264	7	12	12	NUM
ejpam-3532	264	8	(	(	PUNCT
ejpam-3532	264	9	4	4	NUM
ejpam-3532	264	10	)	)	PUNCT
ejpam-3532	264	11	(	(	PUNCT
ejpam-3532	264	12	2019	2019	NUM
ejpam-3532	264	13	)	)	PUNCT
ejpam-3532	264	14	,	,	PUNCT
ejpam-3532	264	15	1533	1533	NUM
ejpam-3532	264	16	-	-	SYM
ejpam-3532	264	17	1552	1552	NUM
ejpam-3532	264	18	1544	1544	NUM
ejpam-3532	264	19	with	with	ADP
ejpam-3532	264	20	the	the	DET
ejpam-3532	264	21	other	other	ADJ
ejpam-3532	264	22	compartments	compartment	NOUN
ejpam-3532	264	23	is	be	AUX
ejpam-3532	264	24	given	give	VERB
ejpam-3532	264	25	by	by	ADP
ejpam-3532	264	26	the	the	DET
ejpam-3532	264	27	relation	relation	NOUN
ejpam-3532	264	28	(	(	PUNCT
ejpam-3532	264	29	29	29	NUM
ejpam-3532	264	30	)	)	PUNCT
ejpam-3532	264	31	.	.	PUNCT
ejpam-3532	265	1	f(x	f(x	PROPN
ejpam-3532	265	2	)	)	PUNCT
ejpam-3532	266	1	=	=	SYM
ejpam-3532	267	1			PROPN
ejpam-3532	267	2	fi(x	fi(x	NUM
ejpam-3532	267	3	)	)	PUNCT
ejpam-3532	267	4	fiv	fiv	NOUN
ejpam-3532	267	5	(	(	PUNCT
ejpam-3532	267	6	x	x	NOUN
ejpam-3532	267	7	)	)	PUNCT
ejpam-3532	267	8			PROPN
ejpam-3532	267	9	=	=	PUNCT
ejpam-3532	267	10			PROPN
ejpam-3532	267	11	βh	βh	PROPN
ejpam-3532	267	12	iv	iv	NUM
ejpam-3532	267	13	nh	nh	PROPN
ejpam-3532	267	14	s	s	PART
ejpam-3532	267	15	βv	βv	INTJ
ejpam-3532	267	16	i	i	PRON
ejpam-3532	267	17	nh	nh	INTJ
ejpam-3532	267	18	sv	sv	INTJ
ejpam-3532	267	19			PROPN
ejpam-3532	267	20	,	,	PUNCT
ejpam-3532	267	21	(	(	PUNCT
ejpam-3532	267	22	28	28	NUM
ejpam-3532	267	23	)	)	PUNCT
ejpam-3532	267	24	v(x	v(x	NOUN
ejpam-3532	267	25	)	)	PUNCT
ejpam-3532	268	1	=	=	SYM
ejpam-3532	269	1			PROPN
ejpam-3532	269	2	vi(x	vi(x	NOUN
ejpam-3532	269	3	)	)	PUNCT
ejpam-3532	269	4	viv	viv	NOUN
ejpam-3532	269	5	(	(	PUNCT
ejpam-3532	269	6	x	x	X
ejpam-3532	269	7	)	)	PUNCT
ejpam-3532	269	8			PROPN
ejpam-3532	269	9	=	=	SYM
ejpam-3532	269	10			PROPN
ejpam-3532	269	11	(	(	PUNCT
ejpam-3532	269	12	γ	γ	X
ejpam-3532	269	13	+	+	NOUN
ejpam-3532	269	14	dh	dh	NOUN
ejpam-3532	270	1	+	+	CCONJ
ejpam-3532	270	2	di)i	di)i	PROPN
ejpam-3532	270	3	+	+	SYM
ejpam-3532	270	4	d2hnhi	d2hnhi	NOUN
ejpam-3532	270	5	dv	dv	PROPN
ejpam-3532	270	6	iv	iv	PROPN
ejpam-3532	271	1	+	+	CCONJ
ejpam-3532	271	2	d2vnv	d2vnv	ADJ
ejpam-3532	271	3	iv	iv	NUM
ejpam-3532	271	4			PROPN
ejpam-3532	271	5	(	(	PUNCT
ejpam-3532	271	6	29	29	NUM
ejpam-3532	271	7	)	)	PUNCT
ejpam-3532	271	8	with	with	ADP
ejpam-3532	271	9	these	these	DET
ejpam-3532	271	10	functions	function	NOUN
ejpam-3532	271	11	,	,	PUNCT
ejpam-3532	271	12	we	we	PRON
ejpam-3532	271	13	calculate	calculate	VERB
ejpam-3532	271	14	the	the	DET
ejpam-3532	271	15	next	next	ADJ
ejpam-3532	271	16	generation	generation	NOUN
ejpam-3532	271	17	matrix	matrix	NOUN
ejpam-3532	271	18	fv	fv	X
ejpam-3532	271	19	−1	−1	NOUN
ejpam-3532	271	20	where	where	SCONJ
ejpam-3532	271	21	f	f	PROPN
ejpam-3532	271	22	and	and	CCONJ
ejpam-3532	271	23	v	v	NOUN
ejpam-3532	271	24	are	be	AUX
ejpam-3532	271	25	the	the	DET
ejpam-3532	271	26	following	follow	VERB
ejpam-3532	271	27	matrices	matrix	NOUN
ejpam-3532	271	28	:	:	PUNCT
ejpam-3532	272	1	f	f	X
ejpam-3532	272	2	=	=	PUNCT
ejpam-3532	272	3			PROPN
ejpam-3532	272	4	∂fi	∂fi	PROPN
ejpam-3532	272	5	∂i	∂i	PROPN
ejpam-3532	272	6	(	(	PUNCT
ejpam-3532	272	7	edfe	edfe	PROPN
ejpam-3532	272	8	)	)	PUNCT
ejpam-3532	272	9	∂fi	∂fi	PROPN
ejpam-3532	272	10	∂iv	∂iv	NOUN
ejpam-3532	272	11	(	(	PUNCT
ejpam-3532	272	12	edfe	edfe	NOUN
ejpam-3532	272	13	)	)	PUNCT
ejpam-3532	272	14	∂fiv	∂fiv	X
ejpam-3532	272	15	∂i	∂i	PROPN
ejpam-3532	272	16	(	(	PUNCT
ejpam-3532	272	17	edfe	edfe	PROPN
ejpam-3532	272	18	)	)	PUNCT
ejpam-3532	272	19	∂fiv	∂fiv	VERB
ejpam-3532	272	20	∂iv	∂iv	NOUN
ejpam-3532	272	21	(	(	PUNCT
ejpam-3532	272	22	edfe	edfe	NOUN
ejpam-3532	272	23	)	)	PUNCT
ejpam-3532	272	24			PROPN
ejpam-3532	273	1	=	=	SYM
ejpam-3532	274	1			PROPN
ejpam-3532	274	2	0	0	PUNCT
ejpam-3532	275	1	βh	βh	INTJ
ejpam-3532	275	2	βv	βv	PROPN
ejpam-3532	275	3	n	n	PROPN
ejpam-3532	275	4	s	s	PROPN
ejpam-3532	275	5	v	v	NOUN
ejpam-3532	275	6	n	n	NOUN
ejpam-3532	275	7	s	s	NOUN
ejpam-3532	275	8	h	h	NOUN
ejpam-3532	275	9	0	0	NUM
ejpam-3532	275	10			NOUN
ejpam-3532	275	11	(	(	PUNCT
ejpam-3532	275	12	30	30	NUM
ejpam-3532	275	13	)	)	PUNCT
ejpam-3532	275	14	v	v	NOUN
ejpam-3532	275	15	=	=	PUNCT
ejpam-3532	275	16			NOUN
ejpam-3532	275	17	∂vi	∂vi	NOUN
ejpam-3532	275	18	∂i	∂i	PROPN
ejpam-3532	275	19	(	(	PUNCT
ejpam-3532	275	20	edfe	edfe	NOUN
ejpam-3532	275	21	)	)	PUNCT
ejpam-3532	275	22	∂vi	∂vi	VERB
ejpam-3532	275	23	∂iv	∂iv	NOUN
ejpam-3532	275	24	(	(	PUNCT
ejpam-3532	275	25	edfe	edfe	NOUN
ejpam-3532	275	26	)	)	PUNCT
ejpam-3532	275	27	∂viv	∂viv	X
ejpam-3532	276	1	∂i	∂i	PROPN
ejpam-3532	276	2	(	(	PUNCT
ejpam-3532	276	3	edfe	edfe	PROPN
ejpam-3532	276	4	)	)	PUNCT
ejpam-3532	276	5	∂viv	∂viv	X
ejpam-3532	276	6	∂iv	∂iv	NOUN
ejpam-3532	276	7	(	(	PUNCT
ejpam-3532	276	8	edfe	edfe	NOUN
ejpam-3532	276	9	)	)	PUNCT
ejpam-3532	276	10			NOUN
ejpam-3532	276	11	=	=	SYM
ejpam-3532	276	12			PROPN
ejpam-3532	276	13	bh	bh	NOUN
ejpam-3532	276	14	+	+	CCONJ
ejpam-3532	276	15	γ	γ	X
ejpam-3532	276	16	+	+	X
ejpam-3532	276	17	di	di	X
ejpam-3532	276	18	0	0	NUM
ejpam-3532	276	19	0	0	NUM
ejpam-3532	277	1	bv	bv	PROPN
ejpam-3532	277	2			PROPN
ejpam-3532	277	3	(	(	PUNCT
ejpam-3532	277	4	31	31	NUM
ejpam-3532	277	5	)	)	PUNCT
ejpam-3532	277	6	thus	thus	ADV
ejpam-3532	277	7	the	the	DET
ejpam-3532	277	8	next	next	ADJ
ejpam-3532	277	9	generation	generation	NOUN
ejpam-3532	277	10	matrix	matrix	NOUN
ejpam-3532	277	11	is	be	AUX
ejpam-3532	277	12	given	give	VERB
ejpam-3532	277	13	by	by	ADP
ejpam-3532	277	14	fv	fv	NUM
ejpam-3532	277	15	−1	−1	NOUN
ejpam-3532	277	16	=	=	PUNCT
ejpam-3532	278	1			NOUN
ejpam-3532	278	2	0	0	X
ejpam-3532	279	1	βh	βh	INTJ
ejpam-3532	279	2	bv	bv	PROPN
ejpam-3532	279	3	βv	βv	PROPN
ejpam-3532	279	4	n	n	PROPN
ejpam-3532	279	5	s	s	PROPN
ejpam-3532	279	6	v	v	NOUN
ejpam-3532	279	7	n	n	NOUN
ejpam-3532	279	8	s	s	PART
ejpam-3532	279	9	h(bh	h(bh	PROPN
ejpam-3532	279	10	+	+	CCONJ
ejpam-3532	279	11	γ	γ	PROPN
ejpam-3532	279	12	+	+	X
ejpam-3532	279	13	di	di	NOUN
ejpam-3532	279	14	)	)	PUNCT
ejpam-3532	279	15	0	0	PUNCT
ejpam-3532	280	1			PRON
ejpam-3532	280	2	(	(	PUNCT
ejpam-3532	280	3	32	32	NUM
ejpam-3532	280	4	)	)	PUNCT
ejpam-3532	280	5	r0	r0	NOUN
ejpam-3532	280	6	is	be	AUX
ejpam-3532	280	7	the	the	DET
ejpam-3532	280	8	spectral	spectral	ADJ
ejpam-3532	280	9	radius	radius	NOUN
ejpam-3532	280	10	of	of	ADP
ejpam-3532	280	11	the	the	DET
ejpam-3532	280	12	next	next	ADJ
ejpam-3532	280	13	generation	generation	NOUN
ejpam-3532	280	14	matrix	matrix	NOUN
ejpam-3532	280	15	;	;	PUNCT
ejpam-3532	280	16	r0	r0	NOUN
ejpam-3532	280	17	=	=	SYM
ejpam-3532	280	18	ρ	ρ	PROPN
ejpam-3532	280	19	(	(	PUNCT
ejpam-3532	280	20	fv	fv	NOUN
ejpam-3532	280	21	−1	−1	NOUN
ejpam-3532	280	22	)	)	PUNCT
ejpam-3532	280	23	.	.	PUNCT
ejpam-3532	281	1	after	after	ADP
ejpam-3532	281	2	detrmining	detrmine	VERB
ejpam-3532	281	3	the	the	DET
ejpam-3532	281	4	eigenvalues	eigenvalue	NOUN
ejpam-3532	281	5	of	of	ADP
ejpam-3532	281	6	fv	fv	PROPN
ejpam-3532	281	7	−1	−1	PROPN
ejpam-3532	281	8	,	,	PUNCT
ejpam-3532	281	9	we	we	PRON
ejpam-3532	281	10	obtain	obtain	VERB
ejpam-3532	281	11	r0	r0	NOUN
ejpam-3532	281	12	=	=	SYM
ejpam-3532	281	13	√	√	ADP
ejpam-3532	282	1	βhβvn	βhβvn	NOUN
ejpam-3532	282	2	s	s	PART
ejpam-3532	282	3	v	v	ADJ
ejpam-3532	282	4	n	n	NOUN
ejpam-3532	282	5	s	s	PROPN
ejpam-3532	282	6	h	h	NOUN
ejpam-3532	282	7	(	(	PUNCT
ejpam-3532	282	8	bh	bh	NOUN
ejpam-3532	282	9	+	+	CCONJ
ejpam-3532	282	10	γ	γ	PROPN
ejpam-3532	282	11	+	+	CCONJ
ejpam-3532	282	12	di	di	NOUN
ejpam-3532	282	13	)	)	PUNCT
ejpam-3532	282	14	bv	bv	PROPN
ejpam-3532	282	15	.	.	PUNCT
ejpam-3532	283	1	we	we	PRON
ejpam-3532	283	2	can	can	AUX
ejpam-3532	283	3	also	also	ADV
ejpam-3532	283	4	write	write	VERB
ejpam-3532	283	5	r0	r0	NOUN
ejpam-3532	283	6	=	=	PUNCT
ejpam-3532	283	7	√	√	PROPN
ejpam-3532	284	1	r0hr0v	r0hr0v	PRON
ejpam-3532	284	2	where	where	SCONJ
ejpam-3532	284	3	r0h	r0h	PROPN
ejpam-3532	284	4	=	=	PROPN
ejpam-3532	284	5	βh	βh	PROPN
ejpam-3532	284	6	bv	bv	PROPN
ejpam-3532	284	7	and	and	CCONJ
ejpam-3532	284	8	r0v	r0v	PROPN
ejpam-3532	284	9	=	=	PUNCT
ejpam-3532	284	10	βvn	βvn	PRON
ejpam-3532	284	11	s	s	VERB
ejpam-3532	284	12	v	v	ADJ
ejpam-3532	284	13	n	n	PROPN
ejpam-3532	284	14	s	s	PROPN
ejpam-3532	284	15	h	h	NOUN
ejpam-3532	284	16	(	(	PUNCT
ejpam-3532	284	17	bh	bh	NOUN
ejpam-3532	284	18	+	+	CCONJ
ejpam-3532	284	19	di	di	X
ejpam-3532	284	20	+	+	CCONJ
ejpam-3532	284	21	γ	γ	NOUN
ejpam-3532	284	22	)	)	PUNCT
ejpam-3532	284	23	.	.	PUNCT
ejpam-3532	285	1	r0h	r0h	PROPN
ejpam-3532	285	2	is	be	AUX
ejpam-3532	285	3	the	the	DET
ejpam-3532	285	4	average	average	ADJ
ejpam-3532	285	5	number	number	NOUN
ejpam-3532	285	6	of	of	ADP
ejpam-3532	285	7	secondary	secondary	ADJ
ejpam-3532	285	8	infections	infection	NOUN
ejpam-3532	285	9	produced	produce	VERB
ejpam-3532	285	10	by	by	ADP
ejpam-3532	285	11	a	a	DET
ejpam-3532	285	12	single	single	ADJ
ejpam-3532	285	13	infected	infected	ADJ
ejpam-3532	285	14	mosquito	mosquito	NOUN
ejpam-3532	285	15	in	in	ADP
ejpam-3532	285	16	a	a	DET
ejpam-3532	285	17	population	population	NOUN
ejpam-3532	285	18	of	of	ADP
ejpam-3532	285	19	humans	human	NOUN
ejpam-3532	285	20	all	all	DET
ejpam-3532	285	21	susceptibles	susceptible	NOUN
ejpam-3532	285	22	.	.	PUNCT
ejpam-3532	286	1	r0v	r0v	NOUN
ejpam-3532	286	2	is	be	AUX
ejpam-3532	286	3	the	the	DET
ejpam-3532	286	4	average	average	ADJ
ejpam-3532	286	5	number	number	NOUN
ejpam-3532	286	6	of	of	ADP
ejpam-3532	286	7	secondary	secondary	ADJ
ejpam-3532	286	8	infections	infection	NOUN
ejpam-3532	286	9	produced	produce	VERB
ejpam-3532	286	10	by	by	ADP
ejpam-3532	286	11	a	a	DET
ejpam-3532	286	12	single	single	ADJ
ejpam-3532	286	13	infected	infected	ADJ
ejpam-3532	286	14	human	human	NOUN
ejpam-3532	286	15	in	in	ADP
ejpam-3532	286	16	a	a	DET
ejpam-3532	286	17	population	population	NOUN
ejpam-3532	286	18	of	of	ADP
ejpam-3532	286	19	mosquitoes	mosquito	NOUN
ejpam-3532	286	20	all	all	DET
ejpam-3532	286	21	susceptibles	susceptible	NOUN
ejpam-3532	286	22	.	.	PUNCT
ejpam-3532	287	1	replacing	replace	VERB
ejpam-3532	287	2	βh	βh	ADV
ejpam-3532	287	3	and	and	CCONJ
ejpam-3532	287	4	βv	βv	PRON
ejpam-3532	287	5	respectively	respectively	ADV
ejpam-3532	287	6	by	by	ADP
ejpam-3532	287	7	nvpvh	nvpvh	ADJ
ejpam-3532	287	8	and	and	CCONJ
ejpam-3532	287	9	nvpiv	nvpiv	ADJ
ejpam-3532	287	10	,	,	PUNCT
ejpam-3532	287	11	we	we	PRON
ejpam-3532	287	12	obtain	obtain	VERB
ejpam-3532	287	13	r0h	r0h	PROPN
ejpam-3532	287	14	=	=	SYM
ejpam-3532	287	15	nvpvh	nvpvh	PROPN
ejpam-3532	287	16	bv	bv	PROPN
ejpam-3532	287	17	,	,	PUNCT
ejpam-3532	287	18	famane	famane	PROPN
ejpam-3532	287	19	kambiré	kambiré	PROPN
ejpam-3532	287	20	et	et	PROPN
ejpam-3532	288	1	al	al	PROPN
ejpam-3532	288	2	.	.	PUNCT
ejpam-3532	288	3	/	/	SYM
ejpam-3532	288	4	eur	eur	PROPN
ejpam-3532	288	5	.	.	PUNCT
ejpam-3532	289	1	j.	j.	PROPN
ejpam-3532	289	2	pure	pure	PROPN
ejpam-3532	289	3	appl	appl	PROPN
ejpam-3532	289	4	.	.	PROPN
ejpam-3532	289	5	math	math	PROPN
ejpam-3532	289	6	,	,	PUNCT
ejpam-3532	289	7	12	12	NUM
ejpam-3532	289	8	(	(	PUNCT
ejpam-3532	289	9	4	4	NUM
ejpam-3532	289	10	)	)	PUNCT
ejpam-3532	289	11	(	(	PUNCT
ejpam-3532	289	12	2019	2019	NUM
ejpam-3532	289	13	)	)	PUNCT
ejpam-3532	289	14	,	,	PUNCT
ejpam-3532	289	15	1533	1533	NUM
ejpam-3532	289	16	-	-	SYM
ejpam-3532	289	17	1552	1552	NUM
ejpam-3532	289	18	1545	1545	NUM
ejpam-3532	289	19	r0v	r0v	PROPN
ejpam-3532	289	20	=	=	SYM
ejpam-3532	289	21	nvpivn	nvpivn	PROPN
ejpam-3532	289	22	s	s	PART
ejpam-3532	289	23	v	v	NOUN
ejpam-3532	289	24	n	n	PROPN
ejpam-3532	289	25	s	s	PROPN
ejpam-3532	289	26	h	h	NOUN
ejpam-3532	289	27	(	(	PUNCT
ejpam-3532	289	28	bh	bh	NOUN
ejpam-3532	289	29	+	+	CCONJ
ejpam-3532	289	30	di	di	X
ejpam-3532	289	31	+	+	CCONJ
ejpam-3532	289	32	γ	γ	X
ejpam-3532	289	33	)	)	PUNCT
ejpam-3532	289	34	and	and	CCONJ
ejpam-3532	289	35	r0	r0	NOUN
ejpam-3532	289	36	=	=	SYM
ejpam-3532	289	37	nv	nv	PROPN
ejpam-3532	289	38	√	√	VERB
ejpam-3532	289	39	pvhpivn	pvhpivn	PROPN
ejpam-3532	289	40	s	s	PROPN
ejpam-3532	289	41	v	v	NOUN
ejpam-3532	289	42	n	n	NOUN
ejpam-3532	289	43	s	s	PROPN
ejpam-3532	289	44	h	h	NOUN
ejpam-3532	289	45	(	(	PUNCT
ejpam-3532	289	46	bh	bh	NOUN
ejpam-3532	289	47	+	+	CCONJ
ejpam-3532	289	48	γ	γ	PROPN
ejpam-3532	289	49	+	+	CCONJ
ejpam-3532	289	50	di	di	NOUN
ejpam-3532	289	51	)	)	PUNCT
ejpam-3532	289	52	bv	bv	PROPN
ejpam-3532	289	53	.	.	PUNCT
ejpam-3532	290	1	substituting	substitute	VERB
ejpam-3532	290	2	n	n	PROPN
ejpam-3532	290	3	s	s	PART
ejpam-3532	290	4	h	h	NOUN
ejpam-3532	290	5	by	by	ADP
ejpam-3532	290	6	bh	bh	PROPN
ejpam-3532	290	7	−	−	PROPN
ejpam-3532	290	8	dh	dh	PROPN
ejpam-3532	290	9	d2h	d2h	PROPN
ejpam-3532	290	10	and	and	CCONJ
ejpam-3532	290	11	n	n	PROPN
ejpam-3532	290	12	s	s	NOUN
ejpam-3532	290	13	v	v	NOUN
ejpam-3532	290	14	by	by	ADP
ejpam-3532	290	15	bv	bv	PROPN
ejpam-3532	290	16	−	−	PROPN
ejpam-3532	290	17	dv	dv	PROPN
ejpam-3532	290	18	d2v	d2v	PROPN
ejpam-3532	290	19	we	we	PRON
ejpam-3532	290	20	finally	finally	ADV
ejpam-3532	290	21	obtain	obtain	VERB
ejpam-3532	290	22	r0	r0	NOUN
ejpam-3532	290	23	=	=	SYM
ejpam-3532	290	24	nv	nv	PROPN
ejpam-3532	290	25	√	√	PROPN
ejpam-3532	291	1	d2hpvhpiv(bv	d2hpvhpiv(bv	PROPN
ejpam-3532	291	2	−	−	PROPN
ejpam-3532	292	1	dv	dv	PROPN
ejpam-3532	292	2	)	)	PUNCT
ejpam-3532	293	1	bv	bv	PROPN
ejpam-3532	293	2	d2v	d2v	PROPN
ejpam-3532	293	3	(	(	PUNCT
ejpam-3532	293	4	bh	bh	NOUN
ejpam-3532	293	5	−	−	PROPN
ejpam-3532	293	6	dh)(bh	dh)(bh	PROPN
ejpam-3532	293	7	+	+	CCONJ
ejpam-3532	293	8	γ	γ	PROPN
ejpam-3532	293	9	+	+	X
ejpam-3532	293	10	di	di	NOUN
ejpam-3532	293	11	)	)	PUNCT
ejpam-3532	293	12	.	.	PUNCT
ejpam-3532	294	1	(	(	PUNCT
ejpam-3532	294	2	33	33	NUM
ejpam-3532	294	3	)	)	PUNCT
ejpam-3532	294	4	3.2.3	3.2.3	NUM
ejpam-3532	294	5	.	.	PUNCT
ejpam-3532	295	1	stability	stability	NOUN
ejpam-3532	295	2	of	of	ADP
ejpam-3532	295	3	disease	disease	NOUN
ejpam-3532	295	4	free	free	ADJ
ejpam-3532	295	5	equilibrium	equilibrium	NOUN
ejpam-3532	295	6	theorem	theorem	VERB
ejpam-3532	295	7	3	3	X
ejpam-3532	295	8	.	.	PUNCT
ejpam-3532	296	1	the	the	DET
ejpam-3532	296	2	disease	disease	NOUN
ejpam-3532	296	3	free	free	ADJ
ejpam-3532	296	4	equilibrium	equilibrium	NOUN
ejpam-3532	296	5	edfe	edfe	NOUN
ejpam-3532	296	6	is	be	AUX
ejpam-3532	296	7	locally	locally	ADV
ejpam-3532	296	8	asymptoptically	asymptoptically	ADV
ejpam-3532	296	9	stable	stable	ADJ
ejpam-3532	296	10	for	for	ADP
ejpam-3532	296	11	r0	r0	NOUN
ejpam-3532	296	12	<	<	X
ejpam-3532	296	13	1	1	NUM
ejpam-3532	296	14	and	and	CCONJ
ejpam-3532	296	15	unstable	unstable	ADJ
ejpam-3532	296	16	for	for	ADP
ejpam-3532	296	17	r0	r0	NOUN
ejpam-3532	296	18	>	>	X
ejpam-3532	296	19	1	1	X
ejpam-3532	296	20	.	.	X
ejpam-3532	297	1	proof	proof	NOUN
ejpam-3532	297	2	the	the	DET
ejpam-3532	297	3	jacobian	jacobian	ADJ
ejpam-3532	297	4	matrix	matrix	NOUN
ejpam-3532	297	5	of	of	ADP
ejpam-3532	297	6	the	the	DET
ejpam-3532	297	7	system	system	NOUN
ejpam-3532	297	8	(	(	PUNCT
ejpam-3532	297	9	1	1	X
ejpam-3532	297	10	)	)	PUNCT
ejpam-3532	297	11	at	at	ADP
ejpam-3532	297	12	the	the	DET
ejpam-3532	297	13	disease	disease	NOUN
ejpam-3532	297	14	free	free	ADJ
ejpam-3532	297	15	equilibrium	equilibrium	NOUN
ejpam-3532	297	16	is	be	AUX
ejpam-3532	297	17	given	give	VERB
ejpam-3532	297	18	below	below	ADP
ejpam-3532	297	19	:	:	PUNCT
ejpam-3532	297	20	j	j	PROPN
ejpam-3532	297	21	=	=	PUNCT
ejpam-3532	297	22			NOUN
ejpam-3532	297	23	−bh	−bh	X
ejpam-3532	298	1	0	0	NUM
ejpam-3532	298	2	0	0	NUM
ejpam-3532	298	3	0	0	NUM
ejpam-3532	299	1	σ	σ	NOUN
ejpam-3532	299	2	0	0	NUM
ejpam-3532	299	3	−βh	−βh	PRON
ejpam-3532	299	4	dh	dh	NOUN
ejpam-3532	299	5	0	0	NUM
ejpam-3532	299	6	0	0	NUM
ejpam-3532	299	7	j22	j22	NOUN
ejpam-3532	299	8	0	0	NUM
ejpam-3532	299	9	0	0	NUM
ejpam-3532	299	10	0	0	NUM
ejpam-3532	299	11	0	0	NUM
ejpam-3532	300	1	βh	βh	ADP
ejpam-3532	300	2	0	0	NUM
ejpam-3532	300	3	0	0	NUM
ejpam-3532	300	4	0	0	NUM
ejpam-3532	300	5	γ	γ	PROPN
ejpam-3532	300	6	j33	j33	VERB
ejpam-3532	300	7	0	0	NUM
ejpam-3532	300	8	0	0	NUM
ejpam-3532	300	9	0	0	NUM
ejpam-3532	300	10	0	0	NUM
ejpam-3532	300	11	0	0	NUM
ejpam-3532	300	12	0	0	NUM
ejpam-3532	300	13	0	0	NUM
ejpam-3532	300	14	0	0	NUM
ejpam-3532	300	15	µ	µ	NOUN
ejpam-3532	300	16	j44	j44	ADP
ejpam-3532	300	17	0	0	NUM
ejpam-3532	300	18	0	0	NUM
ejpam-3532	300	19	0	0	NUM
ejpam-3532	300	20	0	0	NUM
ejpam-3532	300	21	0	0	NUM
ejpam-3532	300	22	0	0	NUM
ejpam-3532	300	23	0	0	NUM
ejpam-3532	300	24	0	0	NUM
ejpam-3532	301	1	λ	λ	NOUN
ejpam-3532	301	2	j55	j55	NOUN
ejpam-3532	301	3	0	0	NUM
ejpam-3532	301	4	0	0	NUM
ejpam-3532	301	5	0	0	NUM
ejpam-3532	301	6	0	0	NUM
ejpam-3532	301	7	0	0	NUM
ejpam-3532	301	8	−βv	−βv	NOUN
ejpam-3532	301	9	0	0	NUM
ejpam-3532	301	10	0	0	NUM
ejpam-3532	301	11	0	0	NUM
ejpam-3532	301	12	−bv	−bv	NOUN
ejpam-3532	301	13	0	0	NUM
ejpam-3532	301	14	0	0	NUM
ejpam-3532	302	1	dv	dv	PROPN
ejpam-3532	302	2	0	0	NUM
ejpam-3532	302	3	βv	βv	PROPN
ejpam-3532	302	4	n∗v	n∗v	NUM
ejpam-3532	302	5	n∗h	n∗h	NUM
ejpam-3532	302	6	0	0	NUM
ejpam-3532	302	7	0	0	NUM
ejpam-3532	302	8	0	0	NUM
ejpam-3532	302	9	0	0	NUM
ejpam-3532	302	10	−bv	−bv	NOUN
ejpam-3532	302	11	0	0	NUM
ejpam-3532	302	12	0	0	NUM
ejpam-3532	302	13	0	0	NUM
ejpam-3532	302	14	−di	−di	NOUN
ejpam-3532	302	15	0	0	NUM
ejpam-3532	302	16	0	0	NUM
ejpam-3532	302	17	0	0	NUM
ejpam-3532	302	18	0	0	NUM
ejpam-3532	302	19	0	0	NUM
ejpam-3532	302	20	j88	j88	NOUN
ejpam-3532	302	21	0	0	NUM
ejpam-3532	302	22	0	0	NUM
ejpam-3532	302	23	0	0	NUM
ejpam-3532	302	24	0	0	NUM
ejpam-3532	302	25	0	0	NUM
ejpam-3532	302	26	0	0	NUM
ejpam-3532	302	27	0	0	NUM
ejpam-3532	302	28	−div	−div	NOUN
ejpam-3532	302	29	0	0	NUM
ejpam-3532	302	30	j99	j99	PROPN
ejpam-3532	302	31			PROPN
ejpam-3532	302	32	where	where	SCONJ
ejpam-3532	302	33	j22	j22	X
ejpam-3532	302	34	=	=	PUNCT
ejpam-3532	303	1	−(bh	−(bh	PROPN
ejpam-3532	303	2	+	+	NUM
ejpam-3532	303	3	γ	γ	PROPN
ejpam-3532	303	4	+	+	X
ejpam-3532	303	5	di	di	NOUN
ejpam-3532	303	6	)	)	PUNCT
ejpam-3532	303	7	;	;	PUNCT
ejpam-3532	303	8	j33	j33	NOUN
ejpam-3532	303	9	=	=	PUNCT
ejpam-3532	303	10	−(bh	−(bh	PROPN
ejpam-3532	303	11	+	+	NOUN
ejpam-3532	303	12	µ	µ	NOUN
ejpam-3532	303	13	)	)	PUNCT
ejpam-3532	303	14	;	;	PUNCT
ejpam-3532	303	15	j44	j44	PROPN
ejpam-3532	303	16	=	=	PUNCT
ejpam-3532	303	17	−(bh	−(bh	PROPN
ejpam-3532	303	18	+	+	NUM
ejpam-3532	303	19	λ	λ	NOUN
ejpam-3532	303	20	)	)	PUNCT
ejpam-3532	303	21	;	;	PUNCT
ejpam-3532	303	22	j55	j55	NOUN
ejpam-3532	303	23	=	=	PUNCT
ejpam-3532	303	24	−(bh	−(bh	PROPN
ejpam-3532	303	25	+	+	NUM
ejpam-3532	303	26	σ	σ	PROPN
ejpam-3532	303	27	)	)	PUNCT
ejpam-3532	303	28	;	;	PUNCT
ejpam-3532	303	29	j88	j88	NOUN
ejpam-3532	303	30	=	=	PUNCT
ejpam-3532	303	31	−(bh	−(bh	PROPN
ejpam-3532	303	32	−	−	PROPN
ejpam-3532	303	33	dh	dh	NOUN
ejpam-3532	303	34	)	)	PUNCT
ejpam-3532	303	35	;	;	PUNCT
ejpam-3532	303	36	j99	j99	NOUN
ejpam-3532	303	37	=	=	SYM
ejpam-3532	303	38	−(bv	−(bv	PROPN
ejpam-3532	303	39	−	−	PROPN
ejpam-3532	303	40	dv	dv	PROPN
ejpam-3532	303	41	)	)	PUNCT
ejpam-3532	303	42	.	.	PUNCT
ejpam-3532	304	1	the	the	DET
ejpam-3532	304	2	characteristic	characteristic	ADJ
ejpam-3532	304	3	polynomial	polynomial	NOUN
ejpam-3532	304	4	of	of	ADP
ejpam-3532	304	5	j	j	PROPN
ejpam-3532	304	6	is	be	AUX
ejpam-3532	304	7	given	give	VERB
ejpam-3532	304	8	by	by	ADP
ejpam-3532	304	9	p	p	PROPN
ejpam-3532	304	10	(	(	PUNCT
ejpam-3532	304	11	x	x	NOUN
ejpam-3532	304	12	)	)	PUNCT
ejpam-3532	304	13	=	=	SYM
ejpam-3532	305	1	(	(	PUNCT
ejpam-3532	305	2	x+	x+	PROPN
ejpam-3532	305	3	bh)(x+	bh)(x+	PROPN
ejpam-3532	305	4	bv	bv	PROPN
ejpam-3532	305	5	)	)	PUNCT
ejpam-3532	305	6	(	(	PUNCT
ejpam-3532	305	7	x−	x−	PROPN
ejpam-3532	305	8	j33)(x−	j33)(x−	PROPN
ejpam-3532	305	9	j44)(x−	j44)(x−	PROPN
ejpam-3532	305	10	j55)(x−	j55)(x−	PROPN
ejpam-3532	305	11	j88)(x−	j88)(x−	PROPN
ejpam-3532	305	12	j99)t	j99)t	PROPN
ejpam-3532	305	13	(	(	PUNCT
ejpam-3532	305	14	x	x	X
ejpam-3532	305	15	)	)	PUNCT
ejpam-3532	305	16	(	(	PUNCT
ejpam-3532	305	17	34	34	NUM
ejpam-3532	305	18	)	)	PUNCT
ejpam-3532	305	19	where	where	SCONJ
ejpam-3532	305	20	t	t	PROPN
ejpam-3532	305	21	(	(	PUNCT
ejpam-3532	305	22	x	x	X
ejpam-3532	305	23	)	)	PUNCT
ejpam-3532	305	24	=	=	SYM
ejpam-3532	306	1	x2	x2	PROPN
ejpam-3532	307	1	+	+	CCONJ
ejpam-3532	307	2	(	(	PUNCT
ejpam-3532	307	3	bh	bh	NOUN
ejpam-3532	307	4	+	+	CCONJ
ejpam-3532	307	5	γ	γ	PROPN
ejpam-3532	307	6	+	+	X
ejpam-3532	307	7	di	di	X
ejpam-3532	307	8	+	+	CCONJ
ejpam-3532	307	9	bv	bv	PROPN
ejpam-3532	307	10	)	)	PUNCT
ejpam-3532	307	11	x+	x+	PROPN
ejpam-3532	307	12	bv	bv	PROPN
ejpam-3532	307	13	(	(	PUNCT
ejpam-3532	307	14	bh	bh	NOUN
ejpam-3532	307	15	+	+	CCONJ
ejpam-3532	307	16	γ	γ	PROPN
ejpam-3532	307	17	+	+	NOUN
ejpam-3532	307	18	di	di	NOUN
ejpam-3532	307	19	)	)	PUNCT
ejpam-3532	307	20	(	(	PUNCT
ejpam-3532	307	21	1−r2	1−r2	NUM
ejpam-3532	307	22	0	0	NUM
ejpam-3532	307	23	)	)	PUNCT
ejpam-3532	307	24	.	.	PUNCT
ejpam-3532	308	1	(	(	PUNCT
ejpam-3532	308	2	35	35	NUM
ejpam-3532	308	3	)	)	PUNCT
ejpam-3532	308	4	−bh	−bh	NOUN
ejpam-3532	308	5	,	,	PUNCT
ejpam-3532	308	6	−bv	−bv	INTJ
ejpam-3532	308	7	,	,	PUNCT
ejpam-3532	308	8	−(bh	−(bh	PROPN
ejpam-3532	308	9	+	+	NOUN
ejpam-3532	308	10	µ	µ	NOUN
ejpam-3532	308	11	)	)	PUNCT
ejpam-3532	308	12	,	,	PUNCT
ejpam-3532	308	13	−(bh	−(bh	PROPN
ejpam-3532	308	14	+	+	NOUN
ejpam-3532	308	15	λ	λ	NOUN
ejpam-3532	308	16	)	)	PUNCT
ejpam-3532	308	17	,	,	PUNCT
ejpam-3532	308	18	−(bh	−(bh	PROPN
ejpam-3532	308	19	+	+	PROPN
ejpam-3532	308	20	σ	σ	X
ejpam-3532	308	21	)	)	PUNCT
ejpam-3532	308	22	,	,	PUNCT
ejpam-3532	308	23	−(bh−dh	−(bh−dh	NOUN
ejpam-3532	308	24	)	)	PUNCT
ejpam-3532	308	25	,	,	PUNCT
ejpam-3532	308	26	−(bv	−(bv	PROPN
ejpam-3532	308	27	−dv	−dv	PROPN
ejpam-3532	308	28	)	)	PUNCT
ejpam-3532	308	29	are	be	AUX
ejpam-3532	308	30	eigenvalues	eigenvalue	NOUN
ejpam-3532	308	31	of	of	ADP
ejpam-3532	308	32	j	j	PROPN
ejpam-3532	308	33	which	which	PRON
ejpam-3532	308	34	are	be	AUX
ejpam-3532	308	35	all	all	PRON
ejpam-3532	308	36	negative	negative	ADJ
ejpam-3532	308	37	reals	real	NOUN
ejpam-3532	308	38	.	.	PUNCT
ejpam-3532	309	1	the	the	DET
ejpam-3532	309	2	other	other	ADJ
ejpam-3532	309	3	eigenvalues	eigenvalue	NOUN
ejpam-3532	309	4	of	of	ADP
ejpam-3532	309	5	j	j	PROPN
ejpam-3532	309	6	are	be	AUX
ejpam-3532	309	7	the	the	DET
ejpam-3532	309	8	roots	root	NOUN
ejpam-3532	309	9	of	of	ADP
ejpam-3532	309	10	the	the	DET
ejpam-3532	309	11	polynomial	polynomial	ADJ
ejpam-3532	309	12	t	t	PROPN
ejpam-3532	309	13	.	.	PUNCT
ejpam-3532	310	1	for	for	ADP
ejpam-3532	310	2	r0	r0	NOUN
ejpam-3532	310	3	<	<	X
ejpam-3532	310	4	1	1	NUM
ejpam-3532	310	5	,	,	PUNCT
ejpam-3532	310	6	the	the	DET
ejpam-3532	310	7	coefficients	coefficient	NOUN
ejpam-3532	310	8	of	of	ADP
ejpam-3532	310	9	t	t	PROPN
ejpam-3532	310	10	namely	namely	ADV
ejpam-3532	310	11	1	1	NUM
ejpam-3532	310	12	,	,	PUNCT
ejpam-3532	310	13	(	(	PUNCT
ejpam-3532	310	14	bh	bh	NOUN
ejpam-3532	310	15	+	+	CCONJ
ejpam-3532	310	16	γ	γ	PROPN
ejpam-3532	310	17	+	+	X
ejpam-3532	310	18	di	di	X
ejpam-3532	310	19	+	+	CCONJ
ejpam-3532	310	20	bv	bv	PROPN
ejpam-3532	310	21	)	)	PUNCT
ejpam-3532	310	22	and	and	CCONJ
ejpam-3532	310	23	bv	bv	PROPN
ejpam-3532	310	24	(	(	PUNCT
ejpam-3532	310	25	bh	bh	NOUN
ejpam-3532	310	26	+	+	CCONJ
ejpam-3532	310	27	γ	γ	PROPN
ejpam-3532	310	28	+	+	NOUN
ejpam-3532	310	29	di	di	NOUN
ejpam-3532	310	30	)	)	PUNCT
ejpam-3532	310	31	(	(	PUNCT
ejpam-3532	310	32	1−r2	1−r2	NUM
ejpam-3532	310	33	0	0	NUM
ejpam-3532	310	34	)	)	PUNCT
ejpam-3532	310	35	are	be	AUX
ejpam-3532	310	36	all	all	PRON
ejpam-3532	310	37	strictly	strictly	ADV
ejpam-3532	310	38	positive	positive	ADJ
ejpam-3532	310	39	.	.	PUNCT
ejpam-3532	311	1	for	for	ADP
ejpam-3532	311	2	r0	r0	NOUN
ejpam-3532	311	3	>	>	X
ejpam-3532	311	4	1	1	NUM
ejpam-3532	311	5	the	the	DET
ejpam-3532	311	6	coefficients	coefficient	NOUN
ejpam-3532	311	7	1	1	NUM
ejpam-3532	311	8	and	and	CCONJ
ejpam-3532	311	9	(	(	PUNCT
ejpam-3532	311	10	bh	bh	NOUN
ejpam-3532	311	11	+	+	CCONJ
ejpam-3532	311	12	γ	γ	PROPN
ejpam-3532	311	13	+	+	X
ejpam-3532	311	14	di	di	X
ejpam-3532	311	15	+	+	CCONJ
ejpam-3532	311	16	bv	bv	PROPN
ejpam-3532	311	17	)	)	PUNCT
ejpam-3532	311	18	are	be	AUX
ejpam-3532	311	19	strictly	strictly	ADV
ejpam-3532	311	20	positive	positive	ADJ
ejpam-3532	311	21	while	while	SCONJ
ejpam-3532	311	22	the	the	DET
ejpam-3532	311	23	coefficients	coefficient	NOUN
ejpam-3532	311	24	famane	famane	PROPN
ejpam-3532	311	25	kambiré	kambiré	PROPN
ejpam-3532	311	26	et	et	PROPN
ejpam-3532	312	1	al	al	PROPN
ejpam-3532	312	2	.	.	PUNCT
ejpam-3532	312	3	/	/	SYM
ejpam-3532	312	4	eur	eur	PROPN
ejpam-3532	312	5	.	.	PUNCT
ejpam-3532	313	1	j.	j.	PROPN
ejpam-3532	313	2	pure	pure	PROPN
ejpam-3532	313	3	appl	appl	PROPN
ejpam-3532	313	4	.	.	PROPN
ejpam-3532	313	5	math	math	PROPN
ejpam-3532	313	6	,	,	PUNCT
ejpam-3532	313	7	12	12	NUM
ejpam-3532	313	8	(	(	PUNCT
ejpam-3532	313	9	4	4	NUM
ejpam-3532	313	10	)	)	PUNCT
ejpam-3532	313	11	(	(	PUNCT
ejpam-3532	313	12	2019	2019	NUM
ejpam-3532	313	13	)	)	PUNCT
ejpam-3532	313	14	,	,	PUNCT
ejpam-3532	313	15	1533	1533	NUM
ejpam-3532	313	16	-	-	SYM
ejpam-3532	313	17	1552	1552	NUM
ejpam-3532	313	18	1546	1546	NUM
ejpam-3532	313	19	bv	bv	PROPN
ejpam-3532	313	20	(	(	PUNCT
ejpam-3532	313	21	bh	bh	NOUN
ejpam-3532	313	22	+	+	CCONJ
ejpam-3532	313	23	γ	γ	PROPN
ejpam-3532	313	24	+	+	NOUN
ejpam-3532	313	25	di	di	NOUN
ejpam-3532	313	26	)	)	PUNCT
ejpam-3532	313	27	(	(	PUNCT
ejpam-3532	313	28	1−r2	1−r2	NUM
ejpam-3532	313	29	0	0	NUM
ejpam-3532	313	30	)	)	PUNCT
ejpam-3532	313	31	is	be	AUX
ejpam-3532	313	32	strictly	strictly	ADV
ejpam-3532	313	33	negative	negative	ADJ
ejpam-3532	313	34	.	.	PUNCT
ejpam-3532	314	1	as	as	SCONJ
ejpam-3532	314	2	t	t	PROPN
ejpam-3532	314	3	is	be	AUX
ejpam-3532	314	4	a	a	DET
ejpam-3532	314	5	polynomial	polynomial	NOUN
ejpam-3532	314	6	of	of	ADP
ejpam-3532	314	7	second	second	ADJ
ejpam-3532	314	8	degree	degree	NOUN
ejpam-3532	314	9	,	,	PUNCT
ejpam-3532	314	10	the	the	DET
ejpam-3532	314	11	criterion	criterion	NOUN
ejpam-3532	314	12	of	of	ADP
ejpam-3532	314	13	routh	routh	PROPN
ejpam-3532	314	14	-	-	PUNCT
ejpam-3532	314	15	hurwitz	hurwitz	PROPN
ejpam-3532	315	1	[	[	X
ejpam-3532	315	2	13	13	NUM
ejpam-3532	315	3	]	]	PUNCT
ejpam-3532	315	4	allows	allow	VERB
ejpam-3532	315	5	us	we	PRON
ejpam-3532	315	6	to	to	PART
ejpam-3532	315	7	affirm	affirm	VERB
ejpam-3532	315	8	that	that	SCONJ
ejpam-3532	315	9	the	the	DET
ejpam-3532	315	10	roots	root	NOUN
ejpam-3532	315	11	of	of	ADP
ejpam-3532	315	12	t	t	PROPN
ejpam-3532	315	13	have	have	VERB
ejpam-3532	315	14	all	all	PRON
ejpam-3532	315	15	their	their	PRON
ejpam-3532	315	16	real	real	ADJ
ejpam-3532	315	17	parts	part	NOUN
ejpam-3532	315	18	strictly	strictly	ADV
ejpam-3532	315	19	negative	negative	ADJ
ejpam-3532	315	20	for	for	ADP
ejpam-3532	315	21	r0	r0	NOUN
ejpam-3532	315	22	<	<	X
ejpam-3532	315	23	1	1	NUM
ejpam-3532	315	24	and	and	CCONJ
ejpam-3532	315	25	t	t	PROPN
ejpam-3532	315	26	has	have	VERB
ejpam-3532	315	27	at	at	ADV
ejpam-3532	315	28	least	least	ADJ
ejpam-3532	315	29	an	an	DET
ejpam-3532	315	30	eigenvalue	eigenvalue	NOUN
ejpam-3532	315	31	whose	whose	DET
ejpam-3532	315	32	real	real	ADJ
ejpam-3532	315	33	part	part	NOUN
ejpam-3532	315	34	is	be	AUX
ejpam-3532	315	35	strictly	strictly	ADV
ejpam-3532	315	36	positive	positive	ADJ
ejpam-3532	315	37	for	for	ADP
ejpam-3532	315	38	r0	r0	NOUN
ejpam-3532	315	39	>	>	X
ejpam-3532	315	40	1	1	NUM
ejpam-3532	315	41	.	.	PUNCT
ejpam-3532	316	1	thus	thus	ADV
ejpam-3532	316	2	the	the	DET
ejpam-3532	316	3	eigenvalues	eigenvalue	NOUN
ejpam-3532	316	4	of	of	ADP
ejpam-3532	316	5	j	j	PROPN
ejpam-3532	316	6	have	have	VERB
ejpam-3532	316	7	all	all	PRON
ejpam-3532	316	8	their	their	PRON
ejpam-3532	316	9	real	real	ADJ
ejpam-3532	316	10	parts	part	NOUN
ejpam-3532	316	11	strictly	strictly	ADV
ejpam-3532	316	12	negative	negative	ADJ
ejpam-3532	316	13	for	for	ADP
ejpam-3532	316	14	r0	r0	NOUN
ejpam-3532	316	15	<	<	X
ejpam-3532	316	16	1	1	NUM
ejpam-3532	316	17	and	and	CCONJ
ejpam-3532	316	18	at	at	ADV
ejpam-3532	316	19	least	least	ADJ
ejpam-3532	316	20	an	an	DET
ejpam-3532	316	21	eigenvalue	eigenvalue	NOUN
ejpam-3532	316	22	of	of	ADP
ejpam-3532	316	23	j	j	PROPN
ejpam-3532	316	24	has	have	VERB
ejpam-3532	316	25	a	a	DET
ejpam-3532	316	26	strictly	strictly	ADV
ejpam-3532	316	27	positive	positive	ADJ
ejpam-3532	316	28	real	real	ADJ
ejpam-3532	316	29	part	part	NOUN
ejpam-3532	316	30	for	for	ADP
ejpam-3532	316	31	r0	r0	NOUN
ejpam-3532	316	32	>	>	X
ejpam-3532	316	33	1	1	X
ejpam-3532	316	34	.	.	PUNCT
ejpam-3532	317	1	therefore	therefore	ADV
ejpam-3532	317	2	edfe	edfe	PROPN
ejpam-3532	317	3	is	be	AUX
ejpam-3532	317	4	locally	locally	ADV
ejpam-3532	317	5	asymptotically	asymptotically	ADV
ejpam-3532	317	6	stable	stable	ADJ
ejpam-3532	317	7	for	for	ADP
ejpam-3532	317	8	r0	r0	NOUN
ejpam-3532	317	9	<	<	X
ejpam-3532	317	10	1	1	NUM
ejpam-3532	317	11	and	and	CCONJ
ejpam-3532	317	12	unstable	unstable	ADJ
ejpam-3532	317	13	for	for	ADP
ejpam-3532	317	14	r0	r0	NOUN
ejpam-3532	317	15	>	>	X
ejpam-3532	317	16	1	1	NUM
ejpam-3532	317	17	�	�	NOUN
ejpam-3532	317	18	the	the	DET
ejpam-3532	317	19	proof	proof	NOUN
ejpam-3532	317	20	of	of	ADP
ejpam-3532	317	21	theorem	theorem	ADJ
ejpam-3532	317	22	3	3	NUM
ejpam-3532	317	23	is	be	AUX
ejpam-3532	317	24	based	base	VERB
ejpam-3532	317	25	on	on	ADP
ejpam-3532	317	26	the	the	DET
ejpam-3532	317	27	analysis	analysis	NOUN
ejpam-3532	317	28	of	of	ADP
ejpam-3532	317	29	the	the	DET
ejpam-3532	317	30	characteristic	characteristic	ADJ
ejpam-3532	317	31	polynomial	polynomial	NOUN
ejpam-3532	317	32	of	of	ADP
ejpam-3532	317	33	jacobian	jacobian	ADJ
ejpam-3532	317	34	matrix	matrix	NOUN
ejpam-3532	317	35	,	,	PUNCT
ejpam-3532	317	36	see	see	VERB
ejpam-3532	317	37	[	[	X
ejpam-3532	317	38	16	16	NUM
ejpam-3532	317	39	]	]	PUNCT
ejpam-3532	317	40	for	for	ADP
ejpam-3532	317	41	a	a	DET
ejpam-3532	317	42	similar	similar	ADJ
ejpam-3532	317	43	approach	approach	NOUN
ejpam-3532	317	44	.	.	PUNCT
ejpam-3532	318	1	due	due	ADP
ejpam-3532	318	2	to	to	ADP
ejpam-3532	318	3	the	the	DET
ejpam-3532	318	4	complexity	complexity	NOUN
ejpam-3532	318	5	of	of	ADP
ejpam-3532	318	6	the	the	DET
ejpam-3532	318	7	system	system	NOUN
ejpam-3532	318	8	(	(	PUNCT
ejpam-3532	318	9	1	1	NUM
ejpam-3532	318	10	)	)	PUNCT
ejpam-3532	318	11	,	,	PUNCT
ejpam-3532	318	12	the	the	DET
ejpam-3532	318	13	existence	existence	NOUN
ejpam-3532	318	14	of	of	ADP
ejpam-3532	318	15	endemic	endemic	ADJ
ejpam-3532	318	16	equilibrium	equilibrium	NOUN
ejpam-3532	318	17	is	be	AUX
ejpam-3532	318	18	not	not	PART
ejpam-3532	318	19	shown	show	VERB
ejpam-3532	318	20	analytically	analytically	ADV
ejpam-3532	318	21	.	.	PUNCT
ejpam-3532	319	1	however	however	ADV
ejpam-3532	319	2	,	,	PUNCT
ejpam-3532	319	3	we	we	PRON
ejpam-3532	319	4	can	can	AUX
ejpam-3532	319	5	confirm	confirm	VERB
ejpam-3532	319	6	the	the	DET
ejpam-3532	319	7	existence	existence	NOUN
ejpam-3532	319	8	of	of	ADP
ejpam-3532	319	9	endemic	endemic	ADJ
ejpam-3532	319	10	equilibrium	equilibrium	NOUN
ejpam-3532	319	11	numerically	numerically	ADV
ejpam-3532	319	12	in	in	ADP
ejpam-3532	319	13	the	the	DET
ejpam-3532	319	14	next	next	ADJ
ejpam-3532	319	15	section	section	NOUN
ejpam-3532	319	16	.	.	PUNCT
ejpam-3532	320	1	4	4	X
ejpam-3532	320	2	.	.	X
ejpam-3532	320	3	numerical	numerical	PROPN
ejpam-3532	320	4	simulation	simulation	PROPN
ejpam-3532	320	5	in	in	ADP
ejpam-3532	320	6	this	this	DET
ejpam-3532	320	7	section	section	NOUN
ejpam-3532	320	8	,	,	PUNCT
ejpam-3532	320	9	we	we	PRON
ejpam-3532	320	10	illustrate	illustrate	VERB
ejpam-3532	320	11	by	by	ADP
ejpam-3532	320	12	the	the	DET
ejpam-3532	320	13	numerical	numerical	PROPN
ejpam-3532	320	14	simulation	simulation	PROPN
ejpam-3532	320	15	the	the	DET
ejpam-3532	320	16	theoretical	theoretical	ADJ
ejpam-3532	320	17	results	result	NOUN
ejpam-3532	320	18	obtained	obtain	VERB
ejpam-3532	320	19	from	from	ADP
ejpam-3532	320	20	the	the	DET
ejpam-3532	320	21	analysis	analysis	NOUN
ejpam-3532	320	22	;	;	PUNCT
ejpam-3532	320	23	see	see	AUX
ejpam-3532	320	24	theorem	theorem	NOUN
ejpam-3532	320	25	3	3	X
ejpam-3532	320	26	.	.	PUNCT
ejpam-3532	321	1	our	our	PRON
ejpam-3532	321	2	objective	objective	NOUN
ejpam-3532	321	3	is	be	AUX
ejpam-3532	321	4	to	to	PART
ejpam-3532	321	5	show	show	VERB
ejpam-3532	321	6	the	the	DET
ejpam-3532	321	7	conformity	conformity	NOUN
ejpam-3532	321	8	between	between	ADP
ejpam-3532	321	9	the	the	DET
ejpam-3532	321	10	theoretical	theoretical	ADJ
ejpam-3532	321	11	results	result	NOUN
ejpam-3532	321	12	of	of	ADP
ejpam-3532	321	13	the	the	DET
ejpam-3532	321	14	analysis	analysis	NOUN
ejpam-3532	321	15	and	and	CCONJ
ejpam-3532	321	16	the	the	DET
ejpam-3532	321	17	numerical	numerical	ADJ
ejpam-3532	321	18	results	result	NOUN
ejpam-3532	321	19	.	.	PUNCT
ejpam-3532	322	1	we	we	PRON
ejpam-3532	322	2	use	use	VERB
ejpam-3532	322	3	matlab	matlab	PROPN
ejpam-3532	322	4	ode45	ode45	NOUN
ejpam-3532	322	5	;	;	PUNCT
ejpam-3532	322	6	see	see	VERB
ejpam-3532	322	7	[	[	X
ejpam-3532	322	8	10	10	NUM
ejpam-3532	322	9	,	,	PUNCT
ejpam-3532	322	10	12	12	NUM
ejpam-3532	322	11	,	,	PUNCT
ejpam-3532	322	12	19	19	NUM
ejpam-3532	322	13	,	,	PUNCT
ejpam-3532	322	14	20	20	NUM
ejpam-3532	322	15	]	]	PUNCT
ejpam-3532	322	16	.	.	PUNCT
ejpam-3532	323	1	we	we	PRON
ejpam-3532	323	2	set	set	VERB
ejpam-3532	323	3	the	the	DET
ejpam-3532	323	4	initial	initial	ADJ
ejpam-3532	323	5	condition	condition	NOUN
ejpam-3532	323	6	to	to	ADP
ejpam-3532	323	7	s0	s0	PROPN
ejpam-3532	323	8	=	=	SYM
ejpam-3532	323	9	4950	4950	NUM
ejpam-3532	323	10	,	,	PUNCT
ejpam-3532	323	11	i0	i0	PROPN
ejpam-3532	323	12	=	=	PROPN
ejpam-3532	323	13	50	50	NUM
ejpam-3532	323	14	,	,	PUNCT
ejpam-3532	323	15	rf0	rf0	X
ejpam-3532	323	16	=	=	SYM
ejpam-3532	323	17	0	0	NUM
ejpam-3532	323	18	,	,	PUNCT
ejpam-3532	323	19	rw0	rw0	NOUN
ejpam-3532	323	20	=	=	SYM
ejpam-3532	323	21	0	0	NUM
ejpam-3532	323	22	,	,	PUNCT
ejpam-3532	323	23	rc0	rc0	NOUN
ejpam-3532	323	24	=	=	SYM
ejpam-3532	323	25	0	0	NUM
ejpam-3532	323	26	,	,	PUNCT
ejpam-3532	323	27	sv0	sv0	ADJ
ejpam-3532	323	28	=	=	SYM
ejpam-3532	323	29	9900	9900	NUM
ejpam-3532	323	30	,	,	PUNCT
ejpam-3532	323	31	iv0	iv0	NOUN
ejpam-3532	323	32	=	=	SYM
ejpam-3532	323	33	100	100	NUM
ejpam-3532	323	34	,	,	PUNCT
ejpam-3532	323	35	nh0	nh0	VERB
ejpam-3532	323	36	=	=	SYM
ejpam-3532	323	37	5000	5000	NUM
ejpam-3532	323	38	and	and	CCONJ
ejpam-3532	323	39	nv0	nv0	ADV
ejpam-3532	323	40	=	=	SYM
ejpam-3532	323	41	10000	10000	NUM
ejpam-3532	323	42	.	.	PUNCT
ejpam-3532	324	1	we	we	PRON
ejpam-3532	324	2	take	take	VERB
ejpam-3532	324	3	the	the	DET
ejpam-3532	324	4	same	same	ADJ
ejpam-3532	324	5	values	value	NOUN
ejpam-3532	324	6	for	for	ADP
ejpam-3532	324	7	bh	bh	NOUN
ejpam-3532	324	8	,	,	PUNCT
ejpam-3532	324	9	dh	dh	PROPN
ejpam-3532	324	10	,	,	PUNCT
ejpam-3532	324	11	d2h	d2h	PROPN
ejpam-3532	324	12	,	,	PUNCT
ejpam-3532	324	13	bv	bv	PROPN
ejpam-3532	324	14	,	,	PUNCT
ejpam-3532	324	15	dv	dv	PROPN
ejpam-3532	324	16	and	and	CCONJ
ejpam-3532	324	17	d2v	d2v	VERB
ejpam-3532	324	18	as	as	ADP
ejpam-3532	324	19	in	in	ADP
ejpam-3532	324	20	[	[	X
ejpam-3532	324	21	6	6	NUM
ejpam-3532	324	22	]	]	PUNCT
ejpam-3532	324	23	and	and	CCONJ
ejpam-3532	324	24	we	we	PRON
ejpam-3532	324	25	assume	assume	VERB
ejpam-3532	324	26	that	that	SCONJ
ejpam-3532	324	27	an	an	DET
ejpam-3532	324	28	infectious	infectious	ADJ
ejpam-3532	324	29	human	human	NOUN
ejpam-3532	324	30	will	will	AUX
ejpam-3532	324	31	stay	stay	VERB
ejpam-3532	324	32	infectious	infectious	ADJ
ejpam-3532	324	33	during	during	ADP
ejpam-3532	324	34	100	100	NUM
ejpam-3532	324	35	days	day	NOUN
ejpam-3532	324	36	.	.	PUNCT
ejpam-3532	325	1	1	1	NUM
ejpam-3532	325	2	γ	γ	NOUN
ejpam-3532	325	3	is	be	AUX
ejpam-3532	325	4	the	the	DET
ejpam-3532	325	5	average	average	ADJ
ejpam-3532	325	6	time	time	NOUN
ejpam-3532	325	7	that	that	PRON
ejpam-3532	325	8	an	an	DET
ejpam-3532	325	9	infectious	infectious	ADJ
ejpam-3532	325	10	human	human	NOUN
ejpam-3532	325	11	will	will	AUX
ejpam-3532	325	12	stay	stay	VERB
ejpam-3532	325	13	in	in	ADP
ejpam-3532	325	14	the	the	DET
ejpam-3532	325	15	infectious	infectious	ADJ
ejpam-3532	325	16	compartment	compartment	NOUN
ejpam-3532	325	17	.	.	PUNCT
ejpam-3532	326	1	by	by	ADP
ejpam-3532	326	2	analogy	analogy	NOUN
ejpam-3532	326	3	1	1	NUM
ejpam-3532	326	4	µ	µ	NOUN
ejpam-3532	326	5	is	be	AUX
ejpam-3532	326	6	the	the	DET
ejpam-3532	326	7	average	average	ADJ
ejpam-3532	326	8	time	time	NOUN
ejpam-3532	326	9	that	that	PRON
ejpam-3532	326	10	a	a	DET
ejpam-3532	326	11	human	human	NOUN
ejpam-3532	326	12	of	of	ADP
ejpam-3532	326	13	rf	rf	NOUN
ejpam-3532	326	14	compartment	compartment	NOUN
ejpam-3532	326	15	will	will	AUX
ejpam-3532	326	16	stay	stay	VERB
ejpam-3532	326	17	in	in	ADP
ejpam-3532	326	18	this	this	DET
ejpam-3532	326	19	compartment	compartment	NOUN
ejpam-3532	326	20	before	before	ADP
ejpam-3532	326	21	moving	move	VERB
ejpam-3532	326	22	to	to	ADP
ejpam-3532	326	23	rw	rw	NOUN
ejpam-3532	326	24	compartment	compartment	NOUN
ejpam-3532	326	25	;	;	PUNCT
ejpam-3532	326	26	1	1	NUM
ejpam-3532	326	27	λ	λ	NOUN
ejpam-3532	326	28	is	be	AUX
ejpam-3532	326	29	the	the	DET
ejpam-3532	326	30	average	average	ADJ
ejpam-3532	326	31	time	time	NOUN
ejpam-3532	326	32	that	that	PRON
ejpam-3532	326	33	a	a	DET
ejpam-3532	326	34	human	human	NOUN
ejpam-3532	326	35	of	of	ADP
ejpam-3532	326	36	rw	rw	NOUN
ejpam-3532	326	37	compartment	compartment	NOUN
ejpam-3532	326	38	will	will	AUX
ejpam-3532	326	39	stay	stay	VERB
ejpam-3532	326	40	in	in	ADP
ejpam-3532	326	41	this	this	DET
ejpam-3532	326	42	compartment	compartment	NOUN
ejpam-3532	326	43	before	before	ADP
ejpam-3532	326	44	moving	move	VERB
ejpam-3532	326	45	to	to	ADP
ejpam-3532	326	46	rc	rc	PROPN
ejpam-3532	326	47	compartment	compartment	NOUN
ejpam-3532	326	48	and	and	CCONJ
ejpam-3532	326	49	1	1	NUM
ejpam-3532	326	50	σ	σ	NOUN
ejpam-3532	326	51	is	be	AUX
ejpam-3532	326	52	the	the	DET
ejpam-3532	326	53	average	average	ADJ
ejpam-3532	326	54	time	time	NOUN
ejpam-3532	326	55	that	that	PRON
ejpam-3532	326	56	a	a	DET
ejpam-3532	326	57	human	human	NOUN
ejpam-3532	326	58	of	of	ADP
ejpam-3532	326	59	rc	rc	PROPN
ejpam-3532	326	60	compartment	compartment	NOUN
ejpam-3532	326	61	will	will	AUX
ejpam-3532	326	62	stay	stay	VERB
ejpam-3532	326	63	in	in	ADP
ejpam-3532	326	64	this	this	DET
ejpam-3532	326	65	compartment	compartment	NOUN
ejpam-3532	326	66	before	before	ADP
ejpam-3532	326	67	loosing	loose	VERB
ejpam-3532	326	68	his	his	PRON
ejpam-3532	326	69	immunity	immunity	NOUN
ejpam-3532	326	70	.	.	PUNCT
ejpam-3532	327	1	a	a	DET
ejpam-3532	327	2	recovered	recover	VERB
ejpam-3532	327	3	human	human	ADJ
ejpam-3532	327	4	acquire	acquire	NOUN
ejpam-3532	327	5	lasting	last	VERB
ejpam-3532	327	6	immunity	immunity	NOUN
ejpam-3532	327	7	.	.	PUNCT
ejpam-3532	328	1	several	several	ADJ
ejpam-3532	328	2	years	year	NOUN
ejpam-3532	328	3	are	be	AUX
ejpam-3532	328	4	necessary	necessary	ADJ
ejpam-3532	328	5	so	so	SCONJ
ejpam-3532	328	6	that	that	SCONJ
ejpam-3532	328	7	immunity	immunity	NOUN
ejpam-3532	328	8	is	be	AUX
ejpam-3532	328	9	lost	lose	VERB
ejpam-3532	328	10	.	.	PUNCT
ejpam-3532	329	1	we	we	PRON
ejpam-3532	329	2	estimate	estimate	VERB
ejpam-3532	329	3	that	that	SCONJ
ejpam-3532	329	4	one	one	NUM
ejpam-3532	329	5	year	year	NOUN
ejpam-3532	329	6	lasts	last	VERB
ejpam-3532	329	7	365	365	NUM
ejpam-3532	329	8	days	day	NOUN
ejpam-3532	329	9	.	.	PUNCT
ejpam-3532	330	1	we	we	PRON
ejpam-3532	330	2	assume	assume	VERB
ejpam-3532	330	3	that	that	SCONJ
ejpam-3532	330	4	,	,	PUNCT
ejpam-3532	330	5	when	when	SCONJ
ejpam-3532	330	6	there	there	PRON
ejpam-3532	330	7	is	be	VERB
ejpam-3532	330	8	no	no	DET
ejpam-3532	330	9	new	new	ADJ
ejpam-3532	330	10	exposure	exposure	NOUN
ejpam-3532	330	11	,	,	PUNCT
ejpam-3532	330	12	immunity	immunity	NOUN
ejpam-3532	330	13	will	will	AUX
ejpam-3532	330	14	decay	decay	VERB
ejpam-3532	330	15	to	to	ADP
ejpam-3532	330	16	the	the	DET
ejpam-3532	330	17	intermediate	intermediate	ADJ
ejpam-3532	330	18	level	level	NOUN
ejpam-3532	330	19	after	after	ADP
ejpam-3532	330	20	25	25	NUM
ejpam-3532	330	21	years	year	NOUN
ejpam-3532	330	22	,	,	PUNCT
ejpam-3532	330	23	to	to	ADP
ejpam-3532	330	24	the	the	DET
ejpam-3532	330	25	critically	critically	ADV
ejpam-3532	330	26	low	low	ADJ
ejpam-3532	330	27	level	level	NOUN
ejpam-3532	330	28	after	after	ADP
ejpam-3532	330	29	35	35	NUM
ejpam-3532	330	30	years	year	NOUN
ejpam-3532	330	31	and	and	CCONJ
ejpam-3532	330	32	it	it	PRON
ejpam-3532	330	33	is	be	AUX
ejpam-3532	330	34	lost	lose	VERB
ejpam-3532	330	35	after	after	ADP
ejpam-3532	330	36	45	45	NUM
ejpam-3532	330	37	years	year	NOUN
ejpam-3532	330	38	.	.	PUNCT
ejpam-3532	331	1	when	when	SCONJ
ejpam-3532	331	2	there	there	PRON
ejpam-3532	331	3	is	be	VERB
ejpam-3532	331	4	new	new	ADJ
ejpam-3532	331	5	exposure	exposure	NOUN
ejpam-3532	331	6	,	,	PUNCT
ejpam-3532	331	7	we	we	PRON
ejpam-3532	331	8	assume	assume	VERB
ejpam-3532	331	9	that	that	SCONJ
ejpam-3532	331	10	the	the	DET
ejpam-3532	331	11	probability	probability	NOUN
ejpam-3532	331	12	of	of	ADP
ejpam-3532	331	13	immune	immune	ADJ
ejpam-3532	331	14	system	system	NOUN
ejpam-3532	331	15	boosting	boost	VERB
ejpam-3532	331	16	from	from	ADP
ejpam-3532	331	17	critically	critically	ADV
ejpam-3532	331	18	low	low	ADJ
ejpam-3532	331	19	level	level	NOUN
ejpam-3532	331	20	to	to	ADP
ejpam-3532	331	21	intermediate	intermediate	ADJ
ejpam-3532	331	22	level	level	NOUN
ejpam-3532	331	23	is	be	AUX
ejpam-3532	331	24	θ	θ	NOUN
ejpam-3532	331	25	=	=	SYM
ejpam-3532	331	26	0.6	0.6	NUM
ejpam-3532	331	27	.	.	PUNCT
ejpam-3532	332	1	it	it	PRON
ejpam-3532	332	2	means	mean	VERB
ejpam-3532	332	3	that	that	SCONJ
ejpam-3532	332	4	1	1	NUM
ejpam-3532	332	5	−	−	NUM
ejpam-3532	332	6	θ	θ	NOUN
ejpam-3532	332	7	=	=	PUNCT
ejpam-3532	332	8	0.4	0.4	NUM
ejpam-3532	332	9	.	.	PUNCT
ejpam-3532	333	1	the	the	DET
ejpam-3532	333	2	values	value	NOUN
ejpam-3532	333	3	used	use	VERB
ejpam-3532	333	4	for	for	ADP
ejpam-3532	333	5	the	the	DET
ejpam-3532	333	6	numerical	numerical	PROPN
ejpam-3532	333	7	simulation	simulation	PROPN
ejpam-3532	333	8	are	be	AUX
ejpam-3532	333	9	given	give	VERB
ejpam-3532	333	10	by	by	ADP
ejpam-3532	333	11	table	table	NOUN
ejpam-3532	333	12	3	3	NUM
ejpam-3532	333	13	.	.	PUNCT
ejpam-3532	333	14	with	with	ADP
ejpam-3532	333	15	these	these	DET
ejpam-3532	333	16	values	value	NOUN
ejpam-3532	333	17	,	,	PUNCT
ejpam-3532	333	18	we	we	PRON
ejpam-3532	333	19	obtain	obtain	VERB
ejpam-3532	333	20	edfe	edfe	NOUN
ejpam-3532	333	21	=	=	SYM
ejpam-3532	333	22	(	(	PUNCT
ejpam-3532	333	23	133280	133280	NUM
ejpam-3532	333	24	,	,	PUNCT
ejpam-3532	333	25	0	0	NUM
ejpam-3532	333	26	,	,	PUNCT
ejpam-3532	333	27	0	0	NUM
ejpam-3532	333	28	,	,	PUNCT
ejpam-3532	333	29	0	0	NUM
ejpam-3532	333	30	,	,	PUNCT
ejpam-3532	333	31	0	0	NUM
ejpam-3532	333	32	,	,	PUNCT
ejpam-3532	333	33	12125	12125	NUM
ejpam-3532	333	34	,	,	PUNCT
ejpam-3532	333	35	0	0	NUM
ejpam-3532	333	36	,	,	PUNCT
ejpam-3532	333	37	133280	133280	NUM
ejpam-3532	333	38	,	,	PUNCT
ejpam-3532	333	39	12125	12125	NUM
ejpam-3532	333	40	)	)	PUNCT
ejpam-3532	333	41	t	t	PROPN
ejpam-3532	333	42	.	.	PUNCT
ejpam-3532	334	1	famane	famane	PROPN
ejpam-3532	334	2	kambiré	kambiré	PROPN
ejpam-3532	334	3	et	et	PROPN
ejpam-3532	335	1	al	al	PROPN
ejpam-3532	335	2	.	.	PUNCT
ejpam-3532	335	3	/	/	SYM
ejpam-3532	335	4	eur	eur	PROPN
ejpam-3532	335	5	.	.	PUNCT
ejpam-3532	336	1	j.	j.	PROPN
ejpam-3532	336	2	pure	pure	PROPN
ejpam-3532	336	3	appl	appl	PROPN
ejpam-3532	336	4	.	.	PROPN
ejpam-3532	336	5	math	math	PROPN
ejpam-3532	336	6	,	,	PUNCT
ejpam-3532	336	7	12	12	NUM
ejpam-3532	336	8	(	(	PUNCT
ejpam-3532	336	9	4	4	NUM
ejpam-3532	336	10	)	)	PUNCT
ejpam-3532	336	11	(	(	PUNCT
ejpam-3532	336	12	2019	2019	NUM
ejpam-3532	336	13	)	)	PUNCT
ejpam-3532	336	14	,	,	PUNCT
ejpam-3532	336	15	1533	1533	NUM
ejpam-3532	336	16	-	-	SYM
ejpam-3532	336	17	1552	1552	NUM
ejpam-3532	336	18	1547	1547	NUM
ejpam-3532	336	19	table	table	NOUN
ejpam-3532	336	20	3	3	NUM
ejpam-3532	336	21	:	:	PUNCT
ejpam-3532	336	22	values	value	NOUN
ejpam-3532	336	23	used	use	VERB
ejpam-3532	336	24	for	for	ADP
ejpam-3532	336	25	the	the	DET
ejpam-3532	336	26	numerical	numerical	ADJ
ejpam-3532	336	27	simualtion	simualtion	NOUN
ejpam-3532	336	28	.	.	PUNCT
ejpam-3532	337	1	parameters	parameter	NOUN
ejpam-3532	337	2	values	value	VERB
ejpam-3532	337	3	references	reference	NOUN
ejpam-3532	337	4	bh	bh	NOUN
ejpam-3532	337	5	0.04	0.04	NUM
ejpam-3532	337	6	[	[	X
ejpam-3532	337	7	6	6	NUM
ejpam-3532	337	8	]	]	PUNCT
ejpam-3532	337	9	bv	bv	PROPN
ejpam-3532	337	10	0.13	0.13	NUM
ejpam-3532	337	11	[	[	X
ejpam-3532	337	12	6	6	NUM
ejpam-3532	337	13	]	]	PUNCT
ejpam-3532	337	14	pvh	pvh	NOUN
ejpam-3532	337	15	0.07	0.07	NUM
ejpam-3532	338	1	[	[	X
ejpam-3532	338	2	6	6	NUM
ejpam-3532	338	3	]	]	PUNCT
ejpam-3532	338	4	piv	piv	NOUN
ejpam-3532	338	5	0.45	0.45	NUM
ejpam-3532	339	1	[	[	X
ejpam-3532	339	2	6	6	NUM
ejpam-3532	339	3	]	]	PUNCT
ejpam-3532	339	4	dh	dh	NOUN
ejpam-3532	339	5	1.6×	1.6×	NUM
ejpam-3532	339	6	10−5	10−5	NUM
ejpam-3532	340	1	[	[	X
ejpam-3532	340	2	6	6	NUM
ejpam-3532	340	3	]	]	PUNCT
ejpam-3532	340	4	d2h	d2h	PROPN
ejpam-3532	340	5	3×	3×	NUM
ejpam-3532	340	6	10−7	10−7	NUM
ejpam-3532	341	1	[	[	X
ejpam-3532	341	2	6	6	NUM
ejpam-3532	341	3	]	]	X
ejpam-3532	341	4	dv	dv	PROPN
ejpam-3532	341	5	0.033	0.033	NUM
ejpam-3532	342	1	[	[	X
ejpam-3532	342	2	6	6	NUM
ejpam-3532	342	3	]	]	X
ejpam-3532	342	4	d2v	d2v	VERB
ejpam-3532	342	5	8×	8×	NOUN
ejpam-3532	342	6	10−6	10−6	NUM
ejpam-3532	343	1	[	[	X
ejpam-3532	343	2	6	6	NUM
ejpam-3532	343	3	]	]	SYM
ejpam-3532	343	4	di	di	NOUN
ejpam-3532	343	5	0.001	0.001	NUM
ejpam-3532	344	1	[	[	X
ejpam-3532	344	2	9	9	NUM
ejpam-3532	344	3	]	]	X
ejpam-3532	344	4	γ	γ	X
ejpam-3532	344	5	0.01	0.01	NUM
ejpam-3532	344	6	assumed	assume	VERB
ejpam-3532	344	7	µ	µ	PROPN
ejpam-3532	344	8	1.096×	1.096×	PROPN
ejpam-3532	344	9	10−4	10−4	NUM
ejpam-3532	344	10	assumed	assume	VERB
ejpam-3532	344	11	λ	λ	PROPN
ejpam-3532	344	12	7.828×	7.828×	PROPN
ejpam-3532	344	13	10−5	10−5	NUM
ejpam-3532	344	14	assumed	assume	VERB
ejpam-3532	344	15	σ	σ	PROPN
ejpam-3532	344	16	6.088×	6.088×	PROPN
ejpam-3532	344	17	10−5	10−5	NUM
ejpam-3532	344	18	assumed	assume	VERB
ejpam-3532	344	19	θ	θ	PROPN
ejpam-3532	344	20	0.6	0.6	NUM
ejpam-3532	344	21	assumed	assume	VERB
ejpam-3532	344	22	4.1	4.1	NUM
ejpam-3532	344	23	.	.	PUNCT
ejpam-3532	345	1	the	the	DET
ejpam-3532	345	2	varying	vary	VERB
ejpam-3532	345	3	effects	effect	NOUN
ejpam-3532	345	4	of	of	ADP
ejpam-3532	345	5	r0	r0	NOUN
ejpam-3532	345	6	on	on	ADP
ejpam-3532	345	7	the	the	DET
ejpam-3532	345	8	behaviour	behaviour	NOUN
ejpam-3532	345	9	of	of	ADP
ejpam-3532	345	10	the	the	DET
ejpam-3532	345	11	model	model	NOUN
ejpam-3532	345	12	we	we	PRON
ejpam-3532	345	13	fix	fix	VERB
ejpam-3532	345	14	the	the	DET
ejpam-3532	345	15	values	value	NOUN
ejpam-3532	345	16	of	of	ADP
ejpam-3532	345	17	table	table	NOUN
ejpam-3532	345	18	3	3	NUM
ejpam-3532	345	19	and	and	CCONJ
ejpam-3532	345	20	we	we	PRON
ejpam-3532	345	21	choose	choose	VERB
ejpam-3532	345	22	nv	nv	PROPN
ejpam-3532	345	23	appropriately	appropriately	ADV
ejpam-3532	345	24	so	so	SCONJ
ejpam-3532	345	25	that	that	SCONJ
ejpam-3532	345	26	r0	r0	NOUN
ejpam-3532	345	27	<	<	X
ejpam-3532	345	28	1	1	NUM
ejpam-3532	345	29	on	on	ADP
ejpam-3532	345	30	the	the	DET
ejpam-3532	345	31	one	one	NUM
ejpam-3532	345	32	hand	hand	NOUN
ejpam-3532	345	33	and	and	CCONJ
ejpam-3532	345	34	r0	r0	VERB
ejpam-3532	345	35	>	>	X
ejpam-3532	345	36	1	1	NUM
ejpam-3532	345	37	on	on	ADP
ejpam-3532	345	38	the	the	DET
ejpam-3532	345	39	other	other	ADJ
ejpam-3532	345	40	hand	hand	NOUN
ejpam-3532	345	41	.	.	PUNCT
ejpam-3532	346	1	for	for	ADP
ejpam-3532	346	2	nv	nv	PROPN
ejpam-3532	346	3	=	=	SYM
ejpam-3532	346	4	1.1408	1.1408	NUM
ejpam-3532	346	5	,	,	PUNCT
ejpam-3532	346	6	r0	r0	NOUN
ejpam-3532	346	7	=	=	NOUN
ejpam-3532	346	8	0.75	0.75	NUM
ejpam-3532	346	9	.	.	PUNCT
ejpam-3532	347	1	then	then	ADV
ejpam-3532	347	2	the	the	DET
ejpam-3532	347	3	dynamics	dynamic	NOUN
ejpam-3532	347	4	of	of	ADP
ejpam-3532	347	5	the	the	DET
ejpam-3532	347	6	transmission	transmission	NOUN
ejpam-3532	347	7	is	be	AUX
ejpam-3532	347	8	given	give	VERB
ejpam-3532	347	9	by	by	ADP
ejpam-3532	347	10	figure	figure	NOUN
ejpam-3532	347	11	2	2	NUM
ejpam-3532	347	12	for	for	ADP
ejpam-3532	347	13	humans	human	NOUN
ejpam-3532	347	14	and	and	CCONJ
ejpam-3532	347	15	figure	figure	VERB
ejpam-3532	347	16	3	3	NUM
ejpam-3532	347	17	for	for	ADP
ejpam-3532	347	18	the	the	DET
ejpam-3532	347	19	mosquitoes	mosquito	NOUN
ejpam-3532	347	20	.	.	PUNCT
ejpam-3532	348	1	figure	figure	VERB
ejpam-3532	348	2	2	2	NUM
ejpam-3532	348	3	:	:	PUNCT
ejpam-3532	348	4	dynamics	dynamic	NOUN
ejpam-3532	348	5	of	of	ADP
ejpam-3532	348	6	the	the	DET
ejpam-3532	348	7	transmission	transmission	NOUN
ejpam-3532	348	8	in	in	ADP
ejpam-3532	348	9	the	the	DET
ejpam-3532	348	10	human	human	ADJ
ejpam-3532	348	11	population	population	NOUN
ejpam-3532	348	12	for	for	ADP
ejpam-3532	348	13	r0	r0	NOUN
ejpam-3532	348	14	=	=	PUNCT
ejpam-3532	348	15	0.75	0.75	NUM
ejpam-3532	348	16	<	<	X
ejpam-3532	348	17	1	1	NUM
ejpam-3532	348	18	.	.	PUNCT
ejpam-3532	349	1	the	the	DET
ejpam-3532	349	2	disease	disease	NOUN
ejpam-3532	349	3	will	will	AUX
ejpam-3532	349	4	die	die	VERB
ejpam-3532	349	5	out	out	ADP
ejpam-3532	349	6	and	and	CCONJ
ejpam-3532	349	7	all	all	DET
ejpam-3532	349	8	humans	human	NOUN
ejpam-3532	349	9	will	will	AUX
ejpam-3532	349	10	be	be	AUX
ejpam-3532	349	11	susceptible	susceptible	ADJ
ejpam-3532	349	12	.	.	PUNCT
ejpam-3532	350	1	with	with	ADP
ejpam-3532	350	2	nv	nv	PROPN
ejpam-3532	350	3	=	=	SYM
ejpam-3532	350	4	11.4079	11.4079	NUM
ejpam-3532	350	5	,	,	PUNCT
ejpam-3532	350	6	we	we	PRON
ejpam-3532	350	7	obtain	obtain	VERB
ejpam-3532	350	8	r0	r0	NOUN
ejpam-3532	350	9	=	=	NOUN
ejpam-3532	350	10	7.5	7.5	NUM
ejpam-3532	350	11	>	>	SYM
ejpam-3532	350	12	1	1	NUM
ejpam-3532	350	13	.	.	PUNCT
ejpam-3532	351	1	then	then	ADV
ejpam-3532	351	2	the	the	DET
ejpam-3532	351	3	dynamics	dynamic	NOUN
ejpam-3532	351	4	of	of	ADP
ejpam-3532	351	5	the	the	DET
ejpam-3532	351	6	transmission	transmission	NOUN
ejpam-3532	351	7	is	be	AUX
ejpam-3532	351	8	given	give	VERB
ejpam-3532	351	9	by	by	ADP
ejpam-3532	351	10	the	the	DET
ejpam-3532	351	11	figure	figure	NOUN
ejpam-3532	351	12	4	4	NUM
ejpam-3532	351	13	for	for	ADP
ejpam-3532	351	14	humans	human	NOUN
ejpam-3532	351	15	and	and	CCONJ
ejpam-3532	351	16	figure	figure	VERB
ejpam-3532	351	17	5	5	NUM
ejpam-3532	351	18	for	for	ADP
ejpam-3532	351	19	the	the	DET
ejpam-3532	351	20	mosquitoes	mosquito	NOUN
ejpam-3532	351	21	.	.	PUNCT
ejpam-3532	352	1	figure	figure	VERB
ejpam-3532	352	2	2	2	NUM
ejpam-3532	352	3	and	and	CCONJ
ejpam-3532	352	4	figure	figure	VERB
ejpam-3532	352	5	3	3	NUM
ejpam-3532	352	6	show	show	VERB
ejpam-3532	352	7	that	that	SCONJ
ejpam-3532	352	8	the	the	DET
ejpam-3532	352	9	solution	solution	NOUN
ejpam-3532	352	10	of	of	ADP
ejpam-3532	352	11	the	the	DET
ejpam-3532	352	12	model	model	NOUN
ejpam-3532	352	13	approaches	approach	VERB
ejpam-3532	352	14	the	the	DET
ejpam-3532	352	15	disease	disease	NOUN
ejpam-3532	352	16	free	free	ADJ
ejpam-3532	352	17	eqilibrium	eqilibrium	NOUN
ejpam-3532	352	18	whenr0	whenr0	PROPN
ejpam-3532	352	19	<	<	X
ejpam-3532	352	20	1	1	X
ejpam-3532	352	21	.	.	PUNCT
ejpam-3532	353	1	this	this	PRON
ejpam-3532	353	2	confirms	confirm	VERB
ejpam-3532	353	3	the	the	DET
ejpam-3532	353	4	stability	stability	NOUN
ejpam-3532	353	5	of	of	ADP
ejpam-3532	353	6	the	the	DET
ejpam-3532	353	7	desease	desease	NOUN
ejpam-3532	353	8	free	free	ADJ
ejpam-3532	353	9	equilibrium	equilibrium	NOUN
ejpam-3532	353	10	.	.	PUNCT
ejpam-3532	354	1	figure	figure	NOUN
ejpam-3532	354	2	4	4	NUM
ejpam-3532	354	3	and	and	CCONJ
ejpam-3532	354	4	figure	figure	VERB
ejpam-3532	354	5	5	5	NUM
ejpam-3532	354	6	show	show	VERB
ejpam-3532	354	7	that	that	SCONJ
ejpam-3532	354	8	the	the	DET
ejpam-3532	354	9	solution	solution	NOUN
ejpam-3532	354	10	of	of	ADP
ejpam-3532	354	11	the	the	DET
ejpam-3532	354	12	model	model	NOUN
ejpam-3532	354	13	does	do	AUX
ejpam-3532	354	14	not	not	PART
ejpam-3532	354	15	approache	approache	VERB
ejpam-3532	354	16	the	the	DET
ejpam-3532	354	17	disease	disease	NOUN
ejpam-3532	354	18	free	free	PROPN
ejpam-3532	354	19	famane	famane	PROPN
ejpam-3532	354	20	kambiré	kambiré	PROPN
ejpam-3532	354	21	et	et	PROPN
ejpam-3532	355	1	al	al	PROPN
ejpam-3532	355	2	.	.	PUNCT
ejpam-3532	355	3	/	/	SYM
ejpam-3532	355	4	eur	eur	PROPN
ejpam-3532	355	5	.	.	PUNCT
ejpam-3532	356	1	j.	j.	PROPN
ejpam-3532	356	2	pure	pure	PROPN
ejpam-3532	356	3	appl	appl	PROPN
ejpam-3532	356	4	.	.	PROPN
ejpam-3532	356	5	math	math	PROPN
ejpam-3532	356	6	,	,	PUNCT
ejpam-3532	356	7	12	12	NUM
ejpam-3532	356	8	(	(	PUNCT
ejpam-3532	356	9	4	4	NUM
ejpam-3532	356	10	)	)	PUNCT
ejpam-3532	356	11	(	(	PUNCT
ejpam-3532	356	12	2019	2019	NUM
ejpam-3532	356	13	)	)	PUNCT
ejpam-3532	356	14	,	,	PUNCT
ejpam-3532	356	15	1533	1533	NUM
ejpam-3532	356	16	-	-	SYM
ejpam-3532	356	17	1552	1552	NUM
ejpam-3532	356	18	1548	1548	NUM
ejpam-3532	356	19	figure	figure	NOUN
ejpam-3532	356	20	3	3	NUM
ejpam-3532	356	21	:	:	PUNCT
ejpam-3532	356	22	dynamics	dynamic	NOUN
ejpam-3532	356	23	of	of	ADP
ejpam-3532	356	24	the	the	DET
ejpam-3532	356	25	transmission	transmission	NOUN
ejpam-3532	356	26	in	in	ADP
ejpam-3532	356	27	the	the	DET
ejpam-3532	356	28	mosquioes	mosquioe	NOUN
ejpam-3532	356	29	population	population	NOUN
ejpam-3532	356	30	for	for	ADP
ejpam-3532	356	31	r0	r0	NOUN
ejpam-3532	356	32	=	=	PUNCT
ejpam-3532	356	33	0.75	0.75	NUM
ejpam-3532	356	34	<	<	X
ejpam-3532	356	35	1	1	NUM
ejpam-3532	356	36	.	.	PUNCT
ejpam-3532	357	1	the	the	DET
ejpam-3532	357	2	disease	disease	NOUN
ejpam-3532	357	3	will	will	AUX
ejpam-3532	357	4	die	die	VERB
ejpam-3532	357	5	out	out	ADP
ejpam-3532	357	6	and	and	CCONJ
ejpam-3532	357	7	all	all	DET
ejpam-3532	357	8	mosquitoes	mosquito	NOUN
ejpam-3532	357	9	will	will	AUX
ejpam-3532	357	10	be	be	AUX
ejpam-3532	357	11	susceptible	susceptible	ADJ
ejpam-3532	357	12	.	.	PUNCT
ejpam-3532	358	1	figure	figure	NOUN
ejpam-3532	358	2	4	4	NUM
ejpam-3532	358	3	:	:	PUNCT
ejpam-3532	358	4	dynamics	dynamic	NOUN
ejpam-3532	358	5	of	of	ADP
ejpam-3532	358	6	the	the	DET
ejpam-3532	358	7	transmission	transmission	NOUN
ejpam-3532	358	8	in	in	ADP
ejpam-3532	358	9	the	the	DET
ejpam-3532	358	10	human	human	ADJ
ejpam-3532	358	11	population	population	NOUN
ejpam-3532	358	12	for	for	ADP
ejpam-3532	358	13	r0	r0	NOUN
ejpam-3532	358	14	=	=	NOUN
ejpam-3532	358	15	7.5	7.5	NUM
ejpam-3532	358	16	>	>	SYM
ejpam-3532	358	17	1	1	NUM
ejpam-3532	358	18	.	.	PUNCT
ejpam-3532	359	1	there	there	PRON
ejpam-3532	359	2	are	be	VERB
ejpam-3532	359	3	infected	infect	VERB
ejpam-3532	359	4	humans	human	NOUN
ejpam-3532	359	5	every	every	DET
ejpam-3532	359	6	time	time	NOUN
ejpam-3532	359	7	.	.	PUNCT
ejpam-3532	360	1	eqilibrium	eqilibrium	NOUN
ejpam-3532	360	2	when	when	SCONJ
ejpam-3532	360	3	r0	r0	NOUN
ejpam-3532	360	4	>	>	X
ejpam-3532	361	1	1	1	X
ejpam-3532	361	2	.	.	PUNCT
ejpam-3532	361	3	there	there	PRON
ejpam-3532	361	4	will	will	AUX
ejpam-3532	361	5	always	always	ADV
ejpam-3532	361	6	be	be	AUX
ejpam-3532	361	7	infected	infect	VERB
ejpam-3532	361	8	humans	human	NOUN
ejpam-3532	361	9	and	and	CCONJ
ejpam-3532	361	10	infected	infected	ADJ
ejpam-3532	361	11	mosquitoes	mosquito	NOUN
ejpam-3532	361	12	when	when	SCONJ
ejpam-3532	361	13	r0	r0	NOUN
ejpam-3532	361	14	>	>	X
ejpam-3532	361	15	1	1	X
ejpam-3532	361	16	.	.	PUNCT
ejpam-3532	362	1	this	this	PRON
ejpam-3532	362	2	confirms	confirm	VERB
ejpam-3532	362	3	the	the	DET
ejpam-3532	362	4	existence	existence	NOUN
ejpam-3532	362	5	of	of	ADP
ejpam-3532	362	6	endemic	endemic	ADJ
ejpam-3532	362	7	equilibrium	equilibrium	NOUN
ejpam-3532	362	8	of	of	ADP
ejpam-3532	362	9	the	the	DET
ejpam-3532	362	10	system	system	NOUN
ejpam-3532	362	11	(	(	PUNCT
ejpam-3532	362	12	1	1	X
ejpam-3532	362	13	)	)	PUNCT
ejpam-3532	362	14	when	when	SCONJ
ejpam-3532	362	15	r0	r0	NOUN
ejpam-3532	362	16	>	>	X
ejpam-3532	362	17	1	1	NUM
ejpam-3532	362	18	.	.	X
ejpam-3532	362	19	4.2	4.2	NUM
ejpam-3532	362	20	.	.	PUNCT
ejpam-3532	363	1	the	the	DET
ejpam-3532	363	2	varying	vary	VERB
ejpam-3532	363	3	effects	effect	NOUN
ejpam-3532	363	4	of	of	ADP
ejpam-3532	363	5	the	the	DET
ejpam-3532	363	6	immunity	immunity	NOUN
ejpam-3532	363	7	parameters	parameter	NOUN
ejpam-3532	363	8	on	on	ADP
ejpam-3532	363	9	the	the	DET
ejpam-3532	363	10	behaviour	behaviour	NOUN
ejpam-3532	363	11	of	of	ADP
ejpam-3532	363	12	the	the	DET
ejpam-3532	363	13	model	model	NOUN
ejpam-3532	363	14	in	in	ADP
ejpam-3532	363	15	this	this	DET
ejpam-3532	363	16	subsection	subsection	NOUN
ejpam-3532	363	17	we	we	PRON
ejpam-3532	363	18	provide	provide	VERB
ejpam-3532	363	19	further	further	ADJ
ejpam-3532	363	20	simulations	simulation	NOUN
ejpam-3532	363	21	showing	show	VERB
ejpam-3532	363	22	the	the	DET
ejpam-3532	363	23	varying	vary	VERB
ejpam-3532	363	24	effects	effect	NOUN
ejpam-3532	363	25	of	of	ADP
ejpam-3532	363	26	the	the	DET
ejpam-3532	363	27	immunity	immunity	NOUN
ejpam-3532	363	28	parameters	parameter	NOUN
ejpam-3532	363	29	(	(	PUNCT
ejpam-3532	363	30	µ	µ	X
ejpam-3532	363	31	,	,	PUNCT
ejpam-3532	363	32	λ	λ	PROPN
ejpam-3532	363	33	,	,	PUNCT
ejpam-3532	363	34	σ	σ	PROPN
ejpam-3532	363	35	and	and	CCONJ
ejpam-3532	363	36	θ	θ	X
ejpam-3532	363	37	)	)	PUNCT
ejpam-3532	363	38	on	on	ADP
ejpam-3532	363	39	the	the	DET
ejpam-3532	363	40	behaviour	behaviour	NOUN
ejpam-3532	363	41	of	of	ADP
ejpam-3532	363	42	the	the	DET
ejpam-3532	363	43	system	system	NOUN
ejpam-3532	363	44	(	(	PUNCT
ejpam-3532	363	45	1	1	NUM
ejpam-3532	363	46	)	)	PUNCT
ejpam-3532	363	47	.	.	PUNCT
ejpam-3532	364	1	we	we	PRON
ejpam-3532	364	2	analyze	analyze	VERB
ejpam-3532	364	3	these	these	DET
ejpam-3532	364	4	effects	effect	NOUN
ejpam-3532	364	5	for	for	ADP
ejpam-3532	364	6	r0	r0	NOUN
ejpam-3532	364	7	>	>	X
ejpam-3532	364	8	1	1	NUM
ejpam-3532	364	9	.	.	PUNCT
ejpam-3532	365	1	for	for	ADP
ejpam-3532	365	2	each	each	DET
ejpam-3532	365	3	parameter	parameter	NOUN
ejpam-3532	365	4	,	,	PUNCT
ejpam-3532	365	5	we	we	PRON
ejpam-3532	365	6	fixe	fixe	VERB
ejpam-3532	365	7	the	the	DET
ejpam-3532	365	8	other	other	ADJ
ejpam-3532	365	9	values	value	NOUN
ejpam-3532	365	10	of	of	ADP
ejpam-3532	365	11	table	table	NOUN
ejpam-3532	365	12	3	3	NUM
ejpam-3532	366	1	and	and	CCONJ
ejpam-3532	366	2	we	we	PRON
ejpam-3532	366	3	simulate	simulate	VERB
ejpam-3532	366	4	the	the	DET
ejpam-3532	366	5	varying	vary	VERB
ejpam-3532	366	6	effects	effect	NOUN
ejpam-3532	366	7	of	of	ADP
ejpam-3532	366	8	the	the	DET
ejpam-3532	366	9	parameter	parameter	NOUN
ejpam-3532	366	10	concerned	concern	VERB
ejpam-3532	366	11	.	.	PUNCT
ejpam-3532	367	1	figures	figure	NOUN
ejpam-3532	367	2	6	6	NUM
ejpam-3532	367	3	,	,	PUNCT
ejpam-3532	367	4	7	7	NUM
ejpam-3532	367	5	and	and	CCONJ
ejpam-3532	367	6	8	8	NUM
ejpam-3532	367	7	show	show	VERB
ejpam-3532	367	8	the	the	DET
ejpam-3532	367	9	varying	vary	VERB
ejpam-3532	367	10	effects	effect	NOUN
ejpam-3532	367	11	of	of	ADP
ejpam-3532	367	12	µ	µ	NOUN
ejpam-3532	367	13	,	,	PUNCT
ejpam-3532	367	14	λ	λ	PROPN
ejpam-3532	367	15	and	and	CCONJ
ejpam-3532	367	16	σ	σ	NOUN
ejpam-3532	367	17	respectively	respectively	ADV
ejpam-3532	367	18	on	on	ADP
ejpam-3532	367	19	the	the	DET
ejpam-3532	367	20	dynamics	dynamic	NOUN
ejpam-3532	367	21	of	of	ADP
ejpam-3532	367	22	the	the	DET
ejpam-3532	367	23	infected	infected	ADJ
ejpam-3532	367	24	humans	human	NOUN
ejpam-3532	367	25	.	.	PUNCT
ejpam-3532	368	1	as	as	ADP
ejpam-3532	368	2	for	for	ADP
ejpam-3532	368	3	θ	θ	PROPN
ejpam-3532	368	4	,	,	PUNCT
ejpam-3532	368	5	its	its	PRON
ejpam-3532	368	6	varying	vary	VERB
ejpam-3532	368	7	effects	effect	NOUN
ejpam-3532	368	8	are	be	AUX
ejpam-3532	368	9	difficult	difficult	ADJ
ejpam-3532	368	10	to	to	PART
ejpam-3532	368	11	be	be	AUX
ejpam-3532	368	12	observed	observe	VERB
ejpam-3532	368	13	by	by	ADP
ejpam-3532	368	14	the	the	DET
ejpam-3532	368	15	curve	curve	NOUN
ejpam-3532	368	16	of	of	ADP
ejpam-3532	368	17	i	i	PRON
ejpam-3532	368	18	but	but	CCONJ
ejpam-3532	368	19	the	the	DET
ejpam-3532	368	20	curve	curve	NOUN
ejpam-3532	368	21	of	of	ADP
ejpam-3532	368	22	rw	rw	PROPN
ejpam-3532	368	23	shows	show	VERB
ejpam-3532	368	24	clearly	clearly	ADV
ejpam-3532	368	25	its	its	PRON
ejpam-3532	368	26	varying	vary	VERB
ejpam-3532	368	27	effects	effect	NOUN
ejpam-3532	368	28	;	;	PUNCT
ejpam-3532	368	29	see	see	VERB
ejpam-3532	368	30	figure	figure	NOUN
ejpam-3532	368	31	9	9	NUM
ejpam-3532	368	32	.	.	PUNCT
ejpam-3532	369	1	famane	famane	PROPN
ejpam-3532	369	2	kambiré	kambiré	PROPN
ejpam-3532	369	3	et	et	PROPN
ejpam-3532	370	1	al	al	PROPN
ejpam-3532	370	2	.	.	PUNCT
ejpam-3532	370	3	/	/	SYM
ejpam-3532	370	4	eur	eur	PROPN
ejpam-3532	370	5	.	.	PUNCT
ejpam-3532	371	1	j.	j.	PROPN
ejpam-3532	371	2	pure	pure	PROPN
ejpam-3532	371	3	appl	appl	PROPN
ejpam-3532	371	4	.	.	PROPN
ejpam-3532	371	5	math	math	PROPN
ejpam-3532	371	6	,	,	PUNCT
ejpam-3532	371	7	12	12	NUM
ejpam-3532	371	8	(	(	PUNCT
ejpam-3532	371	9	4	4	NUM
ejpam-3532	371	10	)	)	PUNCT
ejpam-3532	371	11	(	(	PUNCT
ejpam-3532	371	12	2019	2019	NUM
ejpam-3532	371	13	)	)	PUNCT
ejpam-3532	371	14	,	,	PUNCT
ejpam-3532	371	15	1533	1533	NUM
ejpam-3532	371	16	-	-	SYM
ejpam-3532	371	17	1552	1552	NUM
ejpam-3532	371	18	1549	1549	NUM
ejpam-3532	371	19	figure	figure	NOUN
ejpam-3532	371	20	5	5	NUM
ejpam-3532	371	21	:	:	PUNCT
ejpam-3532	371	22	dynamics	dynamic	NOUN
ejpam-3532	371	23	of	of	ADP
ejpam-3532	371	24	the	the	DET
ejpam-3532	371	25	transmission	transmission	NOUN
ejpam-3532	371	26	in	in	ADP
ejpam-3532	371	27	the	the	DET
ejpam-3532	371	28	population	population	NOUN
ejpam-3532	371	29	of	of	ADP
ejpam-3532	371	30	mosquitoes	mosquito	NOUN
ejpam-3532	371	31	for	for	ADP
ejpam-3532	371	32	r0	r0	NOUN
ejpam-3532	371	33	=	=	NOUN
ejpam-3532	371	34	7.5	7.5	NUM
ejpam-3532	371	35	>	>	SYM
ejpam-3532	371	36	1	1	NUM
ejpam-3532	371	37	.	.	PUNCT
ejpam-3532	372	1	there	there	PRON
ejpam-3532	372	2	are	be	VERB
ejpam-3532	372	3	infected	infect	VERB
ejpam-3532	372	4	mosquitoes	mosquito	NOUN
ejpam-3532	372	5	every	every	DET
ejpam-3532	372	6	time	time	NOUN
ejpam-3532	372	7	.	.	PUNCT
ejpam-3532	373	1	figure	figure	VERB
ejpam-3532	373	2	6	6	NUM
ejpam-3532	373	3	:	:	PUNCT
ejpam-3532	373	4	varying	vary	VERB
ejpam-3532	373	5	effects	effect	NOUN
ejpam-3532	373	6	of	of	ADP
ejpam-3532	373	7	µ.	µ.	NOUN
ejpam-3532	373	8	the	the	DET
ejpam-3532	373	9	increase	increase	NOUN
ejpam-3532	373	10	of	of	ADP
ejpam-3532	373	11	µ	µ	NOUN
ejpam-3532	373	12	towards	towards	ADP
ejpam-3532	373	13	1	1	NUM
ejpam-3532	373	14	favors	favor	VERB
ejpam-3532	373	15	the	the	DET
ejpam-3532	373	16	transmission	transmission	NOUN
ejpam-3532	373	17	of	of	ADP
ejpam-3532	373	18	the	the	DET
ejpam-3532	373	19	disease	disease	NOUN
ejpam-3532	373	20	in	in	ADP
ejpam-3532	373	21	the	the	DET
ejpam-3532	373	22	human	human	ADJ
ejpam-3532	373	23	population	population	NOUN
ejpam-3532	373	24	.	.	PUNCT
ejpam-3532	374	1	figure	figure	VERB
ejpam-3532	374	2	7	7	NUM
ejpam-3532	374	3	:	:	PUNCT
ejpam-3532	374	4	varying	vary	VERB
ejpam-3532	374	5	effects	effect	NOUN
ejpam-3532	374	6	of	of	ADP
ejpam-3532	374	7	λ	λ	NOUN
ejpam-3532	374	8	.	.	PUNCT
ejpam-3532	375	1	the	the	DET
ejpam-3532	375	2	increase	increase	NOUN
ejpam-3532	375	3	of	of	ADP
ejpam-3532	375	4	λ	λ	PROPN
ejpam-3532	375	5	towards	towards	ADP
ejpam-3532	375	6	1	1	NUM
ejpam-3532	375	7	favors	favor	VERB
ejpam-3532	375	8	the	the	DET
ejpam-3532	375	9	transmission	transmission	NOUN
ejpam-3532	375	10	of	of	ADP
ejpam-3532	375	11	the	the	DET
ejpam-3532	375	12	disease	disease	NOUN
ejpam-3532	375	13	in	in	ADP
ejpam-3532	375	14	the	the	DET
ejpam-3532	375	15	human	human	ADJ
ejpam-3532	375	16	population	population	NOUN
ejpam-3532	375	17	.	.	PUNCT
ejpam-3532	376	1	famane	famane	PROPN
ejpam-3532	376	2	kambiré	kambiré	PROPN
ejpam-3532	376	3	et	et	PROPN
ejpam-3532	377	1	al	al	PROPN
ejpam-3532	377	2	.	.	PUNCT
ejpam-3532	377	3	/	/	SYM
ejpam-3532	377	4	eur	eur	PROPN
ejpam-3532	377	5	.	.	PUNCT
ejpam-3532	378	1	j.	j.	PROPN
ejpam-3532	378	2	pure	pure	PROPN
ejpam-3532	378	3	appl	appl	PROPN
ejpam-3532	378	4	.	.	PROPN
ejpam-3532	378	5	math	math	PROPN
ejpam-3532	378	6	,	,	PUNCT
ejpam-3532	378	7	12	12	NUM
ejpam-3532	378	8	(	(	PUNCT
ejpam-3532	378	9	4	4	NUM
ejpam-3532	378	10	)	)	PUNCT
ejpam-3532	378	11	(	(	PUNCT
ejpam-3532	378	12	2019	2019	NUM
ejpam-3532	378	13	)	)	PUNCT
ejpam-3532	378	14	,	,	PUNCT
ejpam-3532	378	15	1533	1533	NUM
ejpam-3532	378	16	-	-	SYM
ejpam-3532	378	17	1552	1552	NUM
ejpam-3532	378	18	1550	1550	NUM
ejpam-3532	378	19	figure	figure	NOUN
ejpam-3532	378	20	8	8	NUM
ejpam-3532	378	21	:	:	PUNCT
ejpam-3532	378	22	varying	vary	VERB
ejpam-3532	378	23	effects	effect	NOUN
ejpam-3532	378	24	of	of	ADP
ejpam-3532	378	25	σ	σ	PROPN
ejpam-3532	378	26	.	.	PUNCT
ejpam-3532	379	1	the	the	DET
ejpam-3532	379	2	increase	increase	NOUN
ejpam-3532	379	3	of	of	ADP
ejpam-3532	379	4	σ	σ	PROPN
ejpam-3532	379	5	towards	towards	ADP
ejpam-3532	379	6	1	1	NUM
ejpam-3532	379	7	favors	favor	VERB
ejpam-3532	379	8	the	the	DET
ejpam-3532	379	9	transmission	transmission	NOUN
ejpam-3532	379	10	of	of	ADP
ejpam-3532	379	11	the	the	DET
ejpam-3532	379	12	disease	disease	NOUN
ejpam-3532	379	13	in	in	ADP
ejpam-3532	379	14	the	the	DET
ejpam-3532	379	15	human	human	ADJ
ejpam-3532	379	16	population	population	NOUN
ejpam-3532	379	17	.	.	PUNCT
ejpam-3532	380	1	figure	figure	VERB
ejpam-3532	380	2	9	9	NUM
ejpam-3532	380	3	:	:	PUNCT
ejpam-3532	380	4	varying	vary	VERB
ejpam-3532	380	5	effects	effect	NOUN
ejpam-3532	380	6	of	of	ADP
ejpam-3532	380	7	θ	θ	PROPN
ejpam-3532	380	8	.	.	PUNCT
ejpam-3532	381	1	the	the	DET
ejpam-3532	381	2	increase	increase	NOUN
ejpam-3532	381	3	of	of	ADP
ejpam-3532	381	4	θ	θ	PROPN
ejpam-3532	381	5	towards	towards	ADP
ejpam-3532	381	6	1	1	NUM
ejpam-3532	381	7	has	have	VERB
ejpam-3532	381	8	a	a	DET
ejpam-3532	381	9	positive	positive	ADJ
ejpam-3532	381	10	effect	effect	NOUN
ejpam-3532	381	11	on	on	ADP
ejpam-3532	381	12	the	the	DET
ejpam-3532	381	13	dynamics	dynamic	NOUN
ejpam-3532	381	14	of	of	ADP
ejpam-3532	381	15	the	the	DET
ejpam-3532	381	16	intermediate	intermediate	ADJ
ejpam-3532	381	17	level	level	NOUN
ejpam-3532	381	18	of	of	ADP
ejpam-3532	381	19	immunity	immunity	NOUN
ejpam-3532	381	20	.	.	PUNCT
ejpam-3532	382	1	5	5	X
ejpam-3532	382	2	.	.	X
ejpam-3532	382	3	conclusion	conclusion	NOUN
ejpam-3532	382	4	in	in	ADP
ejpam-3532	382	5	this	this	DET
ejpam-3532	382	6	paper	paper	NOUN
ejpam-3532	382	7	a	a	DET
ejpam-3532	382	8	deterministic	deterministic	ADJ
ejpam-3532	382	9	model	model	NOUN
ejpam-3532	382	10	have	have	AUX
ejpam-3532	382	11	been	be	AUX
ejpam-3532	382	12	formulated	formulate	VERB
ejpam-3532	382	13	to	to	PART
ejpam-3532	382	14	describe	describe	VERB
ejpam-3532	382	15	chikungunya	chikungunya	NOUN
ejpam-3532	382	16	transmission	transmission	NOUN
ejpam-3532	382	17	between	between	ADP
ejpam-3532	382	18	a	a	DET
ejpam-3532	382	19	population	population	NOUN
ejpam-3532	382	20	of	of	ADP
ejpam-3532	382	21	mosquitoes	mosquito	NOUN
ejpam-3532	382	22	and	and	CCONJ
ejpam-3532	382	23	a	a	DET
ejpam-3532	382	24	human	human	ADJ
ejpam-3532	382	25	population	population	NOUN
ejpam-3532	382	26	structured	structure	VERB
ejpam-3532	382	27	by	by	ADP
ejpam-3532	382	28	immune	immune	ADJ
ejpam-3532	382	29	status	status	NOUN
ejpam-3532	382	30	.	.	PUNCT
ejpam-3532	383	1	the	the	DET
ejpam-3532	383	2	analysis	analysis	NOUN
ejpam-3532	383	3	of	of	ADP
ejpam-3532	383	4	the	the	DET
ejpam-3532	383	5	model	model	NOUN
ejpam-3532	383	6	and	and	CCONJ
ejpam-3532	383	7	the	the	DET
ejpam-3532	383	8	basic	basic	ADJ
ejpam-3532	383	9	reproduction	reproduction	NOUN
ejpam-3532	383	10	number	number	NOUN
ejpam-3532	383	11	expressed	express	VERB
ejpam-3532	383	12	in	in	ADP
ejpam-3532	383	13	terms	term	NOUN
ejpam-3532	383	14	of	of	ADP
ejpam-3532	383	15	the	the	DET
ejpam-3532	383	16	parameters	parameter	NOUN
ejpam-3532	383	17	made	make	VERB
ejpam-3532	383	18	possible	possible	ADJ
ejpam-3532	383	19	to	to	PART
ejpam-3532	383	20	predict	predict	VERB
ejpam-3532	383	21	whether	whether	SCONJ
ejpam-3532	383	22	the	the	DET
ejpam-3532	383	23	disease	disease	NOUN
ejpam-3532	383	24	will	will	AUX
ejpam-3532	383	25	disappear	disappear	VERB
ejpam-3532	383	26	(	(	PUNCT
ejpam-3532	383	27	r0	r0	VERB
ejpam-3532	383	28	<	<	NOUN
ejpam-3532	383	29	1	1	NUM
ejpam-3532	383	30	)	)	PUNCT
ejpam-3532	383	31	or	or	CCONJ
ejpam-3532	383	32	persist	persist	VERB
ejpam-3532	383	33	(	(	PUNCT
ejpam-3532	383	34	r0	r0	NOUN
ejpam-3532	383	35	>	>	X
ejpam-3532	383	36	1	1	NUM
ejpam-3532	383	37	)	)	PUNCT
ejpam-3532	383	38	.	.	PUNCT
ejpam-3532	384	1	the	the	DET
ejpam-3532	384	2	numerical	numerical	PROPN
ejpam-3532	384	3	simulation	simulation	PROPN
ejpam-3532	384	4	have	have	AUX
ejpam-3532	384	5	permitted	permit	VERB
ejpam-3532	384	6	to	to	PART
ejpam-3532	384	7	confirm	confirm	VERB
ejpam-3532	384	8	the	the	DET
ejpam-3532	384	9	theoretical	theoretical	ADJ
ejpam-3532	384	10	results	result	NOUN
ejpam-3532	384	11	obtained	obtain	VERB
ejpam-3532	384	12	from	from	ADP
ejpam-3532	384	13	the	the	DET
ejpam-3532	384	14	analysis	analysis	NOUN
ejpam-3532	384	15	.	.	PUNCT
ejpam-3532	385	1	the	the	DET
ejpam-3532	385	2	numerical	numerical	ADJ
ejpam-3532	385	3	results	result	NOUN
ejpam-3532	385	4	have	have	AUX
ejpam-3532	385	5	also	also	ADV
ejpam-3532	385	6	shown	show	VERB
ejpam-3532	385	7	that	that	SCONJ
ejpam-3532	385	8	the	the	DET
ejpam-3532	385	9	decay	decay	NOUN
ejpam-3532	385	10	of	of	ADP
ejpam-3532	385	11	the	the	DET
ejpam-3532	385	12	immunity	immunity	NOUN
ejpam-3532	385	13	is	be	AUX
ejpam-3532	385	14	a	a	DET
ejpam-3532	385	15	factor	factor	NOUN
ejpam-3532	385	16	which	which	PRON
ejpam-3532	385	17	favors	favor	VERB
ejpam-3532	385	18	the	the	DET
ejpam-3532	385	19	transmission	transmission	NOUN
ejpam-3532	385	20	of	of	ADP
ejpam-3532	385	21	the	the	DET
ejpam-3532	385	22	disease	disease	NOUN
ejpam-3532	385	23	and	and	CCONJ
ejpam-3532	385	24	boosting	boost	VERB
ejpam-3532	385	25	the	the	DET
ejpam-3532	385	26	immune	immune	ADJ
ejpam-3532	385	27	system	system	NOUN
ejpam-3532	385	28	helps	help	VERB
ejpam-3532	385	29	to	to	PART
ejpam-3532	385	30	get	get	VERB
ejpam-3532	385	31	more	more	ADJ
ejpam-3532	385	32	immune	immune	ADJ
ejpam-3532	385	33	humans	human	NOUN
ejpam-3532	385	34	.	.	PUNCT
ejpam-3532	386	1	some	some	DET
ejpam-3532	386	2	medical	medical	ADJ
ejpam-3532	386	3	researches	research	NOUN
ejpam-3532	386	4	must	must	AUX
ejpam-3532	386	5	aim	aim	VERB
ejpam-3532	386	6	at	at	ADP
ejpam-3532	386	7	preventing	prevent	VERB
ejpam-3532	386	8	the	the	DET
ejpam-3532	386	9	decay	decay	NOUN
ejpam-3532	386	10	of	of	ADP
ejpam-3532	386	11	the	the	DET
ejpam-3532	386	12	immunity	immunity	NOUN
ejpam-3532	386	13	and	and	CCONJ
ejpam-3532	386	14	boosting	boost	VERB
ejpam-3532	386	15	the	the	DET
ejpam-3532	386	16	immune	immune	ADJ
ejpam-3532	386	17	system	system	NOUN
ejpam-3532	386	18	.	.	PUNCT
ejpam-3532	387	1	references	reference	NOUN
ejpam-3532	387	2	1551	1551	NUM
ejpam-3532	387	3	references	reference	NOUN
ejpam-3532	387	4	[	[	X
ejpam-3532	387	5	1	1	NUM
ejpam-3532	387	6	]	]	X
ejpam-3532	387	7	alemu	alemu	PROPN
ejpam-3532	387	8	geleta	geleta	PROPN
ejpam-3532	387	9	wedajo	wedajo	PROPN
ejpam-3532	387	10	,	,	PUNCT
ejpam-3532	387	11	boka	boka	PROPN
ejpam-3532	387	12	kumsa	kumsa	PROPN
ejpam-3532	387	13	bole	bole	PROPN
ejpam-3532	387	14	,	,	PUNCT
ejpam-3532	387	15	purnachandra	purnachandra	VERB
ejpam-3532	387	16	rao	rao	PROPN
ejpam-3532	387	17	koya	koya	PROPN
ejpam-3532	387	18	.	.	PUNCT
ejpam-3532	388	1	the	the	DET
ejpam-3532	388	2	impact	impact	NOUN
ejpam-3532	388	3	of	of	ADP
ejpam-3532	388	4	susceptible	susceptible	ADJ
ejpam-3532	388	5	human	human	ADJ
ejpam-3532	388	6	immigrants	immigrant	NOUN
ejpam-3532	388	7	on	on	ADP
ejpam-3532	388	8	the	the	DET
ejpam-3532	388	9	spread	spread	NOUN
ejpam-3532	388	10	and	and	CCONJ
ejpam-3532	388	11	dynamics	dynamic	NOUN
ejpam-3532	388	12	of	of	ADP
ejpam-3532	388	13	malaria	malaria	NOUN
ejpam-3532	388	14	transmission	transmission	NOUN
ejpam-3532	388	15	.	.	PUNCT
ejpam-3532	389	1	american	american	ADJ
ejpam-3532	389	2	journal	journal	PROPN
ejpam-3532	389	3	of	of	ADP
ejpam-3532	389	4	applied	applied	ADJ
ejpam-3532	389	5	mathematics	mathematic	NOUN
ejpam-3532	389	6	.	.	PUNCT
ejpam-3532	390	1	vol	vol	NOUN
ejpam-3532	390	2	.	.	PROPN
ejpam-3532	391	1	6	6	NUM
ejpam-3532	391	2	,	,	PUNCT
ejpam-3532	391	3	no	no	INTJ
ejpam-3532	391	4	.	.	NOUN
ejpam-3532	391	5	3	3	NUM
ejpam-3532	391	6	,	,	PUNCT
ejpam-3532	391	7	2018	2018	NUM
ejpam-3532	391	8	,	,	PUNCT
ejpam-3532	392	1	pp	pp	ADJ
ejpam-3532	392	2	.	.	PUNCT
ejpam-3532	393	1	117	117	NUM
ejpam-3532	393	2	-	-	SYM
ejpam-3532	393	3	127	127	NUM
ejpam-3532	393	4	.	.	PUNCT
ejpam-3532	394	1	doi	doi	NOUN
ejpam-3532	394	2	:	:	PUNCT
ejpam-3532	394	3	10.11648	10.11648	NUM
ejpam-3532	394	4	/	/	SYM
ejpam-3532	394	5	j.ajam.20180603.13	j.ajam.20180603.13	NOUN
ejpam-3532	394	6	.	.	PUNCT
ejpam-3532	395	1	[	[	X
ejpam-3532	395	2	2	2	NUM
ejpam-3532	395	3	]	]	PUNCT
ejpam-3532	395	4	anibal	anibal	PROPN
ejpam-3532	395	5	munoz	munoz	PROPN
ejpam-3532	395	6	l.	l.	PROPN
ejpam-3532	395	7	,	,	PUNCT
ejpam-3532	395	8	humberto	humberto	PROPN
ejpam-3532	395	9	colorado	colorado	PROPN
ejpam-3532	395	10	t.	t.	PROPN
ejpam-3532	395	11	,	,	PUNCT
ejpam-3532	395	12	carlos	carlos	PROPN
ejpam-3532	395	13	a.	a.	PROPN
ejpam-3532	395	14	abello	abello	PROPN
ejpam-3532	395	15	m.	m.	PROPN
ejpam-3532	395	16	psirmw	psirmw	PROPN
ejpam-3532	395	17	model	model	NOUN
ejpam-3532	395	18	for	for	ADP
ejpam-3532	395	19	the	the	DET
ejpam-3532	395	20	transmission	transmission	NOUN
ejpam-3532	395	21	of	of	ADP
ejpam-3532	395	22	chikunguya	chikunguya	NOUN
ejpam-3532	395	23	virus	virus	PROPN
ejpam-3532	395	24	(	(	PUNCT
ejpam-3532	395	25	chikv	chikv	PROPN
ejpam-3532	395	26	)	)	PUNCT
ejpam-3532	395	27	using	use	VERB
ejpam-3532	395	28	markov	markov	NOUN
ejpam-3532	395	29	chains	chain	NOUN
ejpam-3532	395	30	.	.	PUNCT
ejpam-3532	395	31	applied	apply	VERB
ejpam-3532	395	32	mathematical	mathematical	ADJ
ejpam-3532	395	33	sciences	science	NOUN
ejpam-3532	395	34	,	,	PUNCT
ejpam-3532	395	35	vol	vol	NOUN
ejpam-3532	395	36	.	.	PROPN
ejpam-3532	395	37	12	12	NUM
ejpam-3532	395	38	,	,	PUNCT
ejpam-3532	395	39	2018	2018	NUM
ejpam-3532	395	40	,	,	PUNCT
ejpam-3532	395	41	no	no	INTJ
ejpam-3532	395	42	.	.	NOUN
ejpam-3532	395	43	30	30	NUM
ejpam-3532	395	44	,	,	PUNCT
ejpam-3532	395	45	1481	1481	NUM
ejpam-3532	395	46	1489	1489	NUM
ejpam-3532	395	47	.	.	PUNCT
ejpam-3532	396	1	[	[	X
ejpam-3532	396	2	3	3	NUM
ejpam-3532	396	3	]	]	X
ejpam-3532	396	4	bernard	bernard	PROPN
ejpam-3532	396	5	-	-	PUNCT
ejpam-3532	396	6	alex	alex	PROPN
ejpam-3532	396	7	gaüzère	gaüzère	PROPN
ejpam-3532	396	8	,	,	PUNCT
ejpam-3532	396	9	pierre	pierre	PROPN
ejpam-3532	396	10	aubry	aubry	PROPN
ejpam-3532	396	11	,	,	PUNCT
ejpam-3532	396	12	infection	infection	NOUN
ejpam-3532	396	13	à	à	PROPN
ejpam-3532	396	14	virus	virus	NOUN
ejpam-3532	396	15	chikungunya	chikungunya	NOUN
ejpam-3532	396	16	.	.	PUNCT
ejpam-3532	397	1	actualités	actualité	NOUN
ejpam-3532	397	2	2016	2016	NUM
ejpam-3532	397	3	.	.	PUNCT
ejpam-3532	398	1	mise	mise	PROPN
ejpam-3532	398	2	à	à	PROPN
ejpam-3532	398	3	jour	jour	PROPN
ejpam-3532	398	4	le	le	X
ejpam-3532	398	5	11/03/2016	11/03/2016	NUM
ejpam-3532	398	6	.	.	PUNCT
ejpam-3532	399	1	diplôme	diplôme	PROPN
ejpam-3532	399	2	de	de	ADP
ejpam-3532	399	3	médecine	médecine	PROPN
ejpam-3532	399	4	tropicale	tropicale	NOUN
ejpam-3532	399	5	des	des	X
ejpam-3532	399	6	pays	pay	NOUN
ejpam-3532	399	7	de	de	PROPN
ejpam-3532	399	8	l’océan	l’océan	PROPN
ejpam-3532	399	9	indien	indien	PROPN
ejpam-3532	399	10	.	.	PUNCT
ejpam-3532	400	1	[	[	X
ejpam-3532	400	2	4	4	X
ejpam-3532	400	3	]	]	X
ejpam-3532	400	4	daniel	daniel	PROPN
ejpam-3532	400	5	sondaz	sondaz	PROPN
ejpam-3532	400	6	,	,	PUNCT
ejpam-3532	400	7	jean	jean	PROPN
ejpam-3532	400	8	-	-	PUNCT
ejpam-3532	400	9	marie	marie	PROPN
ejpam-3532	400	10	morvan	morvan	PROPN
ejpam-3532	400	11	,	,	PUNCT
ejpam-3532	400	12	autour	autour	PROPN
ejpam-3532	400	13	du	du	PROPN
ejpam-3532	400	14	théorème	théorème	PROPN
ejpam-3532	400	15	de	de	PROPN
ejpam-3532	400	16	cauchy	cauchy	PROPN
ejpam-3532	400	17	-	-	PUNCT
ejpam-3532	400	18	lipschitz	lipschitz	NOUN
ejpam-3532	400	19	equations	equation	NOUN
ejpam-3532	400	20	différentielles	différentielle	NOUN
ejpam-3532	400	21	.	.	PUNCT
ejpam-3532	401	1	capes	cape	NOUN
ejpam-3532	401	2	,	,	PUNCT
ejpam-3532	401	3	agrégation	agrégation	NOUN
ejpam-3532	401	4	,	,	PUNCT
ejpam-3532	401	5	école	école	ADJ
ejpam-3532	401	6	d’ingénieurs	d’ingénieur	NOUN
ejpam-3532	401	7	.	.	PUNCT
ejpam-3532	402	1	cépadues	cépadue	NOUN
ejpam-3532	402	2	,	,	PUNCT
ejpam-3532	402	3	2017	2017	NUM
ejpam-3532	402	4	.	.	PUNCT
ejpam-3532	403	1	[	[	X
ejpam-3532	403	2	5	5	NUM
ejpam-3532	403	3	]	]	PUNCT
ejpam-3532	403	4	djamila	djamila	NOUN
ejpam-3532	403	5	moulaye	moulaye	NOUN
ejpam-3532	403	6	.	.	PUNCT
ejpam-3532	404	1	modélisation	modélisation	NOUN
ejpam-3532	404	2	et	et	PROPN
ejpam-3532	404	3	analyse	analyse	PROPN
ejpam-3532	404	4	mathématique	mathématique	PROPN
ejpam-3532	404	5	de	de	PROPN
ejpam-3532	404	6	systèmes	systèmes	PROPN
ejpam-3532	404	7	dynamiques	dynamique	NOUN
ejpam-3532	404	8	en	en	ADP
ejpam-3532	404	9	épidémiologie	épidémiologie	PROPN
ejpam-3532	404	10	.	.	PROPN
ejpam-3532	404	11	application	application	PROPN
ejpam-3532	404	12	au	au	PROPN
ejpam-3532	404	13	cas	cas	PROPN
ejpam-3532	404	14	du	du	PROPN
ejpam-3532	404	15	chikungunya	chikungunya	PROPN
ejpam-3532	404	16	.	.	PUNCT
ejpam-3532	405	1	thèse	thèse	PROPN
ejpam-3532	405	2	de	de	X
ejpam-3532	405	3	doctorat	doctorat	PROPN
ejpam-3532	405	4	de	de	PROPN
ejpam-3532	405	5	l’université	l’université	PROPN
ejpam-3532	405	6	du	du	PROPN
ejpam-3532	405	7	havre	havre	PROPN
ejpam-3532	405	8	,	,	PUNCT
ejpam-3532	405	9	26	26	NUM
ejpam-3532	405	10	septembre	septembre	PROPN
ejpam-3532	405	11	2011	2011	NUM
ejpam-3532	405	12	.	.	PUNCT
ejpam-3532	406	1	[	[	X
ejpam-3532	406	2	6	6	NUM
ejpam-3532	406	3	]	]	PUNCT
ejpam-3532	406	4	ducrot	ducrot	PROPN
ejpam-3532	406	5	a.	a.	NOUN
ejpam-3532	406	6	,	,	PUNCT
ejpam-3532	406	7	sirima	sirima	PROPN
ejpam-3532	406	8	s.	s.	PROPN
ejpam-3532	406	9	b.	b.	PROPN
ejpam-3532	406	10	,	,	PUNCT
ejpam-3532	406	11	somé	somé	PUNCT
ejpam-3532	406	12	b.	b.	PROPN
ejpam-3532	406	13	and	and	CCONJ
ejpam-3532	406	14	zongo	zongo	PROPN
ejpam-3532	407	1	p.	p.	NOUN
ejpam-3532	407	2	(	(	PUNCT
ejpam-3532	407	3	2009	2009	NUM
ejpam-3532	407	4	)	)	PUNCT
ejpam-3532	407	5	.	.	PUNCT
ejpam-3532	408	1	a	a	DET
ejpam-3532	408	2	mathematical	mathematical	ADJ
ejpam-3532	408	3	model	model	NOUN
ejpam-3532	408	4	for	for	ADP
ejpam-3532	408	5	malaria	malaria	NOUN
ejpam-3532	408	6	involving	involve	VERB
ejpam-3532	408	7	differential	differential	ADJ
ejpam-3532	408	8	susceptibility	susceptibility	NOUN
ejpam-3532	408	9	,	,	PUNCT
ejpam-3532	408	10	exposedness	exposedness	NOUN
ejpam-3532	408	11	and	and	CCONJ
ejpam-3532	408	12	infectivity	infectivity	NOUN
ejpam-3532	408	13	of	of	ADP
ejpam-3532	408	14	human	human	ADJ
ejpam-3532	408	15	host	host	NOUN
ejpam-3532	408	16	.	.	PUNCT
ejpam-3532	409	1	journal	journal	PROPN
ejpam-3532	409	2	of	of	ADP
ejpam-3532	409	3	biological	biological	ADJ
ejpam-3532	409	4	dynamics	dynamic	NOUN
ejpam-3532	409	5	vol	vol	NOUN
ejpam-3532	409	6	.	.	PUNCT
ejpam-3532	410	1	3	3	NUM
ejpam-3532	410	2	,	,	PUNCT
ejpam-3532	410	3	no	no	INTJ
ejpam-3532	410	4	.	.	NOUN
ejpam-3532	410	5	6	6	NUM
ejpam-3532	410	6	,	,	PUNCT
ejpam-3532	410	7	november	november	PROPN
ejpam-3532	410	8	2009	2009	NUM
ejpam-3532	410	9	,	,	PUNCT
ejpam-3532	410	10	574–598	574–598	NUM
ejpam-3532	410	11	.	.	PUNCT
ejpam-3532	411	1	[	[	X
ejpam-3532	411	2	7	7	X
ejpam-3532	411	3	]	]	X
ejpam-3532	411	4	g.a	g.a	PROPN
ejpam-3532	411	5	.	.	PROPN
ejpam-3532	411	6	ngwa	ngwa	PROPN
ejpam-3532	411	7	and	and	CCONJ
ejpam-3532	411	8	w.s	w.s	PROPN
ejpam-3532	411	9	.	.	PROPN
ejpam-3532	411	10	shu	shu	PROPN
ejpam-3532	411	11	.	.	PUNCT
ejpam-3532	412	1	a	a	DET
ejpam-3532	412	2	mathematical	mathematical	ADJ
ejpam-3532	412	3	model	model	NOUN
ejpam-3532	412	4	for	for	ADP
ejpam-3532	412	5	endemic	endemic	ADJ
ejpam-3532	412	6	malaria	malaria	NOUN
ejpam-3532	412	7	with	with	ADP
ejpam-3532	412	8	variable	variable	ADJ
ejpam-3532	412	9	human	human	ADJ
ejpam-3532	412	10	and	and	CCONJ
ejpam-3532	412	11	mosquito	mosquito	ADJ
ejpam-3532	412	12	populations	population	NOUN
ejpam-3532	412	13	.	.	PUNCT
ejpam-3532	413	1	math	math	NOUN
ejpam-3532	413	2	.	.	PUNCT
ejpam-3532	414	1	and	and	CCONJ
ejpam-3532	414	2	comput	comput	NOUN
ejpam-3532	414	3	.	.	PUNCT
ejpam-3532	415	1	modell	modell	PROPN
ejpam-3532	415	2	.	.	PUNCT
ejpam-3532	415	3	,	,	PUNCT
ejpam-3532	415	4	32	32	NUM
ejpam-3532	415	5	(	(	PUNCT
ejpam-3532	415	6	2000	2000	NUM
ejpam-3532	415	7	)	)	PUNCT
ejpam-3532	415	8	,	,	PUNCT
ejpam-3532	415	9	pp	pp	ADP
ejpam-3532	415	10	.	.	PUNCT
ejpam-3532	416	1	747–763	747–763	NUM
ejpam-3532	416	2	.	.	PUNCT
ejpam-3532	417	1	[	[	X
ejpam-3532	417	2	8	8	NUM
ejpam-3532	417	3	]	]	X
ejpam-3532	417	4	gilberto	gilberto	PROPN
ejpam-3532	417	5	c.	c.	PROPN
ejpam-3532	417	6	gonzález	gonzález	PROPN
ejpam-3532	417	7	-	-	PROPN
ejpam-3532	417	8	parra	parra	PROPN
ejpam-3532	417	9	,	,	PUNCT
ejpam-3532	417	10	diego	diego	PROPN
ejpam-3532	417	11	f.	f.	PROPN
ejpam-3532	417	12	aranda	aranda	PROPN
ejpam-3532	417	13	,	,	PUNCT
ejpam-3532	417	14	benito	benito	PROPN
ejpam-3532	417	15	chen	chen	PROPN
ejpam-3532	417	16	-	-	PUNCT
ejpam-3532	417	17	charpentier	charpentier	PROPN
ejpam-3532	417	18	,	,	PUNCT
ejpam-3532	417	19	miguel	miguel	PROPN
ejpam-3532	417	20	dı́az	dı́az	PROPN
ejpam-3532	417	21	-	-	PUNCT
ejpam-3532	417	22	rodŕıguez	rodŕıguez	NOUN
ejpam-3532	417	23	and	and	CCONJ
ejpam-3532	417	24	jaime	jaime	PROPN
ejpam-3532	417	25	e.	e.	PROPN
ejpam-3532	417	26	castellanos	castellanos	PROPN
ejpam-3532	417	27	.	.	PUNCT
ejpam-3532	418	1	mathematical	mathematical	ADJ
ejpam-3532	418	2	modeling	modeling	NOUN
ejpam-3532	418	3	and	and	CCONJ
ejpam-3532	418	4	characterization	characterization	NOUN
ejpam-3532	418	5	of	of	ADP
ejpam-3532	418	6	the	the	DET
ejpam-3532	418	7	spread	spread	NOUN
ejpam-3532	418	8	of	of	ADP
ejpam-3532	418	9	chikungunya	chikungunya	NOUN
ejpam-3532	418	10	in	in	ADP
ejpam-3532	418	11	colombia	colombia	PROPN
ejpam-3532	418	12	.	.	PUNCT
ejpam-3532	419	1	mathematical	mathematical	ADJ
ejpam-3532	419	2	and	and	CCONJ
ejpam-3532	419	3	computational	computational	ADJ
ejpam-3532	419	4	application	application	NOUN
ejpam-3532	419	5	.	.	PUNCT
ejpam-3532	420	1	[	[	X
ejpam-3532	420	2	9	9	NUM
ejpam-3532	420	3	]	]	SYM
ejpam-3532	420	4	haute	haute	X
ejpam-3532	420	5	autorité	autorité	NOUN
ejpam-3532	420	6	de	de	X
ejpam-3532	420	7	santé.	santé.	PROPN
ejpam-3532	420	8	diagnostic	diagnostic	ADJ
ejpam-3532	420	9	biologique	biologique	NOUN
ejpam-3532	420	10	direct	direct	ADJ
ejpam-3532	420	11	précoce	précoce	PROPN
ejpam-3532	420	12	du	du	PROPN
ejpam-3532	420	13	chikungunya	chikungunya	NOUN
ejpam-3532	420	14	par	par	NOUN
ejpam-3532	420	15	détection	détection	PROPN
ejpam-3532	420	16	génomique	génomique	PROPN
ejpam-3532	420	17	du	du	PROPN
ejpam-3532	420	18	virus	virus	PROPN
ejpam-3532	420	19	avec	avec	PROPN
ejpam-3532	420	20	rt	rt	PROPN
ejpam-3532	420	21	-	-	PUNCT
ejpam-3532	420	22	pcr	pcr	PROPN
ejpam-3532	420	23	(	(	PUNCT
ejpam-3532	420	24	transcription	transcription	NOUN
ejpam-3532	420	25	inverse	inverse	NOUN
ejpam-3532	420	26	et	et	NOUN
ejpam-3532	420	27	amplification	amplification	NOUN
ejpam-3532	420	28	génique	génique	DET
ejpam-3532	420	29	par	par	PROPN
ejpam-3532	420	30	réaction	réaction	PROPN
ejpam-3532	420	31	de	de	X
ejpam-3532	420	32	polymérisation	polymérisation	PROPN
ejpam-3532	420	33	en	en	X
ejpam-3532	420	34	châıne	châıne	PROPN
ejpam-3532	420	35	)	)	PUNCT
ejpam-3532	420	36	.	.	PUNCT
ejpam-3532	421	1	rapport	rapport	PROPN
ejpam-3532	421	2	d’évaluation	d’évaluation	NOUN
ejpam-3532	421	3	technologique	technologique	PROPN
ejpam-3532	421	4	,	,	PUNCT
ejpam-3532	421	5	janvier	janvier	NOUN
ejpam-3532	421	6	2013	2013	NUM
ejpam-3532	421	7	[	[	X
ejpam-3532	421	8	10	10	NUM
ejpam-3532	421	9	]	]	X
ejpam-3532	421	10	jaan	jaan	PROPN
ejpam-3532	421	11	kiusalaas	kiusalaas	PROPN
ejpam-3532	421	12	.	.	PUNCT
ejpam-3532	422	1	numerical	numerical	ADJ
ejpam-3532	422	2	methods	method	NOUN
ejpam-3532	422	3	in	in	ADP
ejpam-3532	422	4	engineering	engineer	VERB
ejpam-3532	422	5	with	with	ADP
ejpam-3532	422	6	matlab	matlab	PROPN
ejpam-3532	422	7	.	.	PUNCT
ejpam-3532	423	1	cambridge	cambridge	PROPN
ejpam-3532	423	2	university	university	PROPN
ejpam-3532	423	3	press	press	NOUN
ejpam-3532	423	4	,	,	PUNCT
ejpam-3532	423	5	2005	2005	NUM
ejpam-3532	424	1	[	[	X
ejpam-3532	424	2	11	11	NUM
ejpam-3532	424	3	]	]	PUNCT
ejpam-3532	424	4	j.	j.	PROPN
ejpam-3532	424	5	m.	m.	PROPN
ejpam-3532	424	6	heffernan	heffernan	PROPN
ejpam-3532	424	7	,	,	PUNCT
ejpam-3532	424	8	r.	r.	PROPN
ejpam-3532	424	9	j.	j.	PROPN
ejpam-3532	424	10	smith	smith	PROPN
ejpam-3532	424	11	and	and	CCONJ
ejpam-3532	424	12	l.	l.	PROPN
ejpam-3532	424	13	m.	m.	PROPN
ejpam-3532	424	14	wahl	wahl	PROPN
ejpam-3532	424	15	.	.	PUNCT
ejpam-3532	425	1	perspectives	perspective	NOUN
ejpam-3532	425	2	on	on	ADP
ejpam-3532	425	3	the	the	DET
ejpam-3532	425	4	basic	basic	ADJ
ejpam-3532	425	5	reproductive	reproductive	ADJ
ejpam-3532	425	6	ratio	ratio	NOUN
ejpam-3532	425	7	.	.	PUNCT
ejpam-3532	426	1	j.	j.	PROPN
ejpam-3532	426	2	r.	r.	PROPN
ejpam-3532	426	3	soc	soc	PROPN
ejpam-3532	426	4	.	.	PUNCT
ejpam-3532	427	1	interface	interface	NOUN
ejpam-3532	427	2	doi	doi	NOUN
ejpam-3532	427	3	:	:	PUNCT
ejpam-3532	427	4	10.1098	10.1098	NUM
ejpam-3532	427	5	/	/	SYM
ejpam-3532	428	1	rsif.2005.0042	rsif.2005.0042	PRON
ejpam-3532	428	2	[	[	X
ejpam-3532	428	3	12	12	NUM
ejpam-3532	428	4	]	]	X
ejpam-3532	428	5	lawrence	lawrence	PROPN
ejpam-3532	428	6	f.	f.	PROPN
ejpam-3532	428	7	shampine	shampine	PROPN
ejpam-3532	428	8	and	and	CCONJ
ejpam-3532	428	9	mark	mark	PROPN
ejpam-3532	428	10	w.	w.	PROPN
ejpam-3532	428	11	reichelt	reichelt	PROPN
ejpam-3532	428	12	.	.	PUNCT
ejpam-3532	429	1	the	the	DET
ejpam-3532	429	2	matlab	matlab	PROPN
ejpam-3532	429	3	ode	ode	PROPN
ejpam-3532	429	4	suit	suit	NOUN
ejpam-3532	429	5	.	.	PUNCT
ejpam-3532	430	1	siam	siam	PROPN
ejpam-3532	430	2	j.	j.	PROPN
ejpam-3532	430	3	sci	sci	PROPN
ejpam-3532	430	4	.	.	PUNCT
ejpam-3532	431	1	comput	comput	PROPN
ejpam-3532	431	2	.	.	PUNCT
ejpam-3532	432	1	vol	vol	NOUN
ejpam-3532	432	2	.	.	PROPN
ejpam-3532	433	1	18	18	NUM
ejpam-3532	433	2	,	,	PUNCT
ejpam-3532	433	3	no	no	INTJ
ejpam-3532	433	4	.	.	NOUN
ejpam-3532	433	5	1	1	NUM
ejpam-3532	433	6	,	,	PUNCT
ejpam-3532	433	7	pp	pp	ADJ
ejpam-3532	433	8	.	.	PUNCT
ejpam-3532	434	1	1	1	NUM
ejpam-3532	434	2	-	-	SYM
ejpam-3532	434	3	22	22	NUM
ejpam-3532	434	4	,	,	PUNCT
ejpam-3532	434	5	january	january	PROPN
ejpam-3532	434	6	1997	1997	NUM
ejpam-3532	434	7	references	reference	NOUN
ejpam-3532	434	8	1552	1552	NUM
ejpam-3532	434	9	[	[	X
ejpam-3532	434	10	13	13	NUM
ejpam-3532	434	11	]	]	X
ejpam-3532	434	12	liénard	liénard	PROPN
ejpam-3532	434	13	,	,	PUNCT
ejpam-3532	434	14	sur	sur	PROPN
ejpam-3532	434	15	le	le	X
ejpam-3532	434	16	signe	signe	PROPN
ejpam-3532	434	17	de	de	X
ejpam-3532	434	18	la	la	PROPN
ejpam-3532	434	19	partie	partie	PROPN
ejpam-3532	434	20	réelle	réelle	PROPN
ejpam-3532	434	21	des	des	X
ejpam-3532	434	22	racines	racines	X
ejpam-3532	434	23	d’une	d’une	VERB
ejpam-3532	434	24	équation	équation	NOUN
ejpam-3532	434	25	algébrique	algébrique	NOUN
ejpam-3532	434	26	.	.	PUNCT
ejpam-3532	435	1	journal	journal	PROPN
ejpam-3532	435	2	de	de	PROPN
ejpam-3532	435	3	mathématiques	mathématiques	PROPN
ejpam-3532	435	4	pures	pure	NOUN
ejpam-3532	435	5	et	et	NOUN
ejpam-3532	435	6	appliquées	appliquées	NOUN
ejpam-3532	435	7	6e	6e	NUM
ejpam-3532	435	8	série	série	NOUN
ejpam-3532	435	9	,	,	PUNCT
ejpam-3532	435	10	tome	tome	NOUN
ejpam-3532	435	11	10	10	NUM
ejpam-3532	435	12	(	(	PUNCT
ejpam-3532	435	13	1914	1914	NUM
ejpam-3532	435	14	)	)	PUNCT
ejpam-3532	435	15	,	,	PUNCT
ejpam-3532	435	16	p.	p.	NOUN
ejpam-3532	435	17	291	291	NUM
ejpam-3532	435	18	-	-	SYM
ejpam-3532	435	19	346	346	NUM
ejpam-3532	435	20	.	.	PUNCT
ejpam-3532	436	1	[	[	X
ejpam-3532	436	2	14	14	NUM
ejpam-3532	436	3	]	]	PUNCT
ejpam-3532	436	4	m.	m.	NOUN
ejpam-3532	436	5	v.	v.	PROPN
ejpam-3532	436	6	barbarossa	barbarossa	PROPN
ejpam-3532	436	7	,	,	PUNCT
ejpam-3532	436	8	g.	g.	PROPN
ejpam-3532	436	9	röst	röst	PROPN
ejpam-3532	436	10	,	,	PUNCT
ejpam-3532	436	11	immuno	immuno	ADJ
ejpam-3532	436	12	-	-	PUNCT
ejpam-3532	436	13	epidemiology	epidemiology	NOUN
ejpam-3532	436	14	of	of	ADP
ejpam-3532	436	15	a	a	DET
ejpam-3532	436	16	population	population	NOUN
ejpam-3532	436	17	structured	structure	VERB
ejpam-3532	436	18	by	by	ADP
ejpam-3532	436	19	immune	immune	ADJ
ejpam-3532	436	20	status	status	NOUN
ejpam-3532	436	21	:	:	PUNCT
ejpam-3532	436	22	a	a	DET
ejpam-3532	436	23	mathematical	mathematical	ADJ
ejpam-3532	436	24	study	study	NOUN
ejpam-3532	436	25	of	of	ADP
ejpam-3532	436	26	waning	wane	VERB
ejpam-3532	436	27	immunity	immunity	NOUN
ejpam-3532	436	28	and	and	CCONJ
ejpam-3532	436	29	immune	immune	ADJ
ejpam-3532	436	30	system	system	NOUN
ejpam-3532	436	31	boosting	boost	VERB
ejpam-3532	436	32	.	.	PUNCT
ejpam-3532	437	1	j.	j.	PROPN
ejpam-3532	437	2	math	math	PROPN
ejpam-3532	437	3	.	.	PUNCT
ejpam-3532	438	1	biol	biol	PROPN
ejpam-3532	438	2	.	.	PUNCT
ejpam-3532	439	1	(	(	PUNCT
ejpam-3532	439	2	2015	2015	NUM
ejpam-3532	439	3	)	)	PUNCT
ejpam-3532	439	4	71:1737–1770	71:1737–1770	X
ejpam-3532	439	5	.	.	PUNCT
ejpam-3532	440	1	[	[	X
ejpam-3532	440	2	15	15	NUM
ejpam-3532	440	3	]	]	X
ejpam-3532	440	4	n.	n.	NOUN
ejpam-3532	440	5	chitnis	chitnis	PROPN
ejpam-3532	440	6	,	,	PUNCT
ejpam-3532	440	7	j.m	j.m	PROPN
ejpam-3532	440	8	.	.	PROPN
ejpam-3532	440	9	cushing	cushing	NOUN
ejpam-3532	440	10	and	and	CCONJ
ejpam-3532	440	11	j.m	j.m	PROPN
ejpam-3532	440	12	.	.	PROPN
ejpam-3532	440	13	hyman	hyman	PROPN
ejpam-3532	440	14	.	.	PUNCT
ejpam-3532	440	15	determining	determine	VERB
ejpam-3532	440	16	important	important	ADJ
ejpam-3532	440	17	parameters	parameter	NOUN
ejpam-3532	440	18	in	in	ADP
ejpam-3532	440	19	the	the	DET
ejpam-3532	440	20	spread	spread	NOUN
ejpam-3532	440	21	of	of	ADP
ejpam-3532	440	22	malaria	malaria	NOUN
ejpam-3532	440	23	through	through	ADP
ejpam-3532	440	24	the	the	DET
ejpam-3532	440	25	sensitivity	sensitivity	NOUN
ejpam-3532	440	26	analysis	analysis	NOUN
ejpam-3532	440	27	of	of	ADP
ejpam-3532	440	28	a	a	DET
ejpam-3532	440	29	mathematical	mathematical	ADJ
ejpam-3532	440	30	model	model	NOUN
ejpam-3532	440	31	.	.	PUNCT
ejpam-3532	441	1	bull	bull	NOUN
ejpam-3532	441	2	.	.	PUNCT
ejpam-3532	442	1	math	math	NOUN
ejpam-3532	442	2	.	.	PUNCT
ejpam-3532	443	1	biol	biol	PROPN
ejpam-3532	443	2	.	.	PUNCT
ejpam-3532	443	3	,	,	PUNCT
ejpam-3532	443	4	doi	doi	X
ejpam-3532	443	5	10.1007	10.1007	NUM
ejpam-3532	443	6	/	/	SYM
ejpam-3532	443	7	s11538	s11538	NOUN
ejpam-3532	443	8	-	-	PUNCT
ejpam-3532	443	9	008	008	NUM
ejpam-3532	443	10	-	-	PUNCT
ejpam-3532	443	11	9299	9299	NUM
ejpam-3532	443	12	-	-	SYM
ejpam-3532	443	13	0	0	NUM
ejpam-3532	443	14	,	,	PUNCT
ejpam-3532	443	15	(	(	PUNCT
ejpam-3532	443	16	2008	2008	NUM
ejpam-3532	443	17	)	)	PUNCT
ejpam-3532	443	18	.	.	PUNCT
ejpam-3532	444	1	[	[	X
ejpam-3532	444	2	16	16	NUM
ejpam-3532	444	3	]	]	X
ejpam-3532	444	4	o.s	o.s	PROPN
ejpam-3532	444	5	.	.	PROPN
ejpam-3532	444	6	obabiyi	obabiyi	PROPN
ejpam-3532	444	7	and	and	CCONJ
ejpam-3532	444	8	s.	s.	PROPN
ejpam-3532	444	9	olaniyi	olaniyi	PROPN
ejpam-3532	444	10	.	.	PUNCT
ejpam-3532	445	1	asymptotic	asymptotic	ADJ
ejpam-3532	445	2	stability	stability	NOUN
ejpam-3532	445	3	of	of	ADP
ejpam-3532	445	4	malaria	malaria	NOUN
ejpam-3532	445	5	dynamics	dynamic	NOUN
ejpam-3532	445	6	with	with	ADP
ejpam-3532	445	7	vigilant	vigilant	ADJ
ejpam-3532	445	8	human	human	ADJ
ejpam-3532	445	9	compartment	compartment	NOUN
ejpam-3532	445	10	.	.	PUNCT
ejpam-3532	446	1	international	international	ADJ
ejpam-3532	446	2	journal	journal	NOUN
ejpam-3532	446	3	of	of	ADP
ejpam-3532	446	4	applied	apply	VERB
ejpam-3532	446	5	mathematics	mathematic	NOUN
ejpam-3532	446	6	,	,	PUNCT
ejpam-3532	446	7	29(1	29(1	NUM
ejpam-3532	446	8	):	):	PUNCT
ejpam-3532	446	9	127	127	NUM
ejpam-3532	446	10	-	-	SYM
ejpam-3532	446	11	144	144	NUM
ejpam-3532	446	12	,	,	PUNCT
ejpam-3532	446	13	(	(	PUNCT
ejpam-3532	446	14	2002	2002	NUM
ejpam-3532	446	15	)	)	PUNCT
ejpam-3532	447	1	[	[	X
ejpam-3532	447	2	17	17	NUM
ejpam-3532	447	3	]	]	PUNCT
ejpam-3532	447	4	p.	p.	NOUN
ejpam-3532	447	5	van	van	PROPN
ejpam-3532	447	6	den	den	PROPN
ejpam-3532	447	7	dressche	dressche	PROPN
ejpam-3532	447	8	and	and	CCONJ
ejpam-3532	447	9	j.	j.	PROPN
ejpam-3532	447	10	watmough	watmough	PROPN
ejpam-3532	447	11	.	.	PUNCT
ejpam-3532	448	1	reproduction	reproduction	NOUN
ejpam-3532	448	2	numbers	number	NOUN
ejpam-3532	448	3	and	and	CCONJ
ejpam-3532	448	4	sub	sub	ADJ
ejpam-3532	448	5	-	-	ADJ
ejpam-3532	448	6	threshold	threshold	ADJ
ejpam-3532	448	7	endemic	endemic	ADJ
ejpam-3532	448	8	equilibria	equilibrium	NOUN
ejpam-3532	448	9	for	for	ADP
ejpam-3532	448	10	compartmental	compartmental	ADJ
ejpam-3532	448	11	models	model	NOUN
ejpam-3532	448	12	of	of	ADP
ejpam-3532	448	13	disease	disease	NOUN
ejpam-3532	448	14	transmission	transmission	NOUN
ejpam-3532	448	15	.	.	PUNCT
ejpam-3532	449	1	math	math	NOUN
ejpam-3532	449	2	.	.	PUNCT
ejpam-3532	450	1	biosci	biosci	PROPN
ejpam-3532	450	2	180	180	NUM
ejpam-3532	450	3	:	:	PUNCT
ejpam-3532	450	4	29	29	NUM
ejpam-3532	450	5	-	-	SYM
ejpam-3532	450	6	48	48	NUM
ejpam-3532	450	7	,	,	PUNCT
ejpam-3532	450	8	2002	2002	NUM
ejpam-3532	450	9	.	.	PUNCT
ejpam-3532	451	1	[	[	X
ejpam-3532	451	2	18	18	NUM
ejpam-3532	451	3	]	]	X
ejpam-3532	451	4	s.	s.	PROPN
ejpam-3532	451	5	olaniyi	olaniyi	PROPN
ejpam-3532	451	6	.	.	PUNCT
ejpam-3532	452	1	dynamics	dynamic	NOUN
ejpam-3532	452	2	of	of	ADP
ejpam-3532	452	3	zika	zika	X
ejpam-3532	452	4	virus	virus	NOUN
ejpam-3532	452	5	model	model	NOUN
ejpam-3532	452	6	with	with	ADP
ejpam-3532	452	7	nonlinear	nonlinear	ADJ
ejpam-3532	452	8	incidence	incidence	NOUN
ejpam-3532	452	9	and	and	CCONJ
ejpam-3532	452	10	optimal	optimal	ADJ
ejpam-3532	452	11	control	control	NOUN
ejpam-3532	452	12	strategies	strategy	NOUN
ejpam-3532	452	13	.	.	PUNCT
ejpam-3532	453	1	applied	apply	VERB
ejpam-3532	453	2	mathematics	mathematic	NOUN
ejpam-3532	453	3	and	and	CCONJ
ejpam-3532	453	4	information	information	NOUN
ejpam-3532	453	5	sciences	science	NOUN
ejpam-3532	453	6	.	.	PUNCT
ejpam-3532	454	1	12(5	12(5	NUM
ejpam-3532	454	2	):	):	PUNCT
ejpam-3532	454	3	969	969	NUM
ejpam-3532	454	4	-	-	SYM
ejpam-3532	454	5	982	982	NUM
ejpam-3532	454	6	,	,	PUNCT
ejpam-3532	454	7	2018	2018	NUM
ejpam-3532	454	8	.	.	PUNCT
ejpam-3532	455	1	[	[	X
ejpam-3532	455	2	19	19	NUM
ejpam-3532	455	3	]	]	X
ejpam-3532	455	4	steven	steven	PROPN
ejpam-3532	455	5	t.	t.	PROPN
ejpam-3532	455	6	karris	karris	PROPN
ejpam-3532	455	7	.	.	PUNCT
ejpam-3532	456	1	numerical	numerical	ADJ
ejpam-3532	456	2	analysis	analysis	NOUN
ejpam-3532	456	3	using	use	VERB
ejpam-3532	456	4	matlab	matlab	PROPN
ejpam-3532	456	5	and	and	CCONJ
ejpam-3532	456	6	excel	excel	PROPN
ejpam-3532	456	7	,	,	PUNCT
ejpam-3532	456	8	orchard	orchard	NOUN
ejpam-3532	456	9	publications	publication	NOUN
ejpam-3532	456	10	,	,	PUNCT
ejpam-3532	456	11	third	third	ADJ
ejpam-3532	456	12	edition	edition	NOUN
ejpam-3532	456	13	[	[	X
ejpam-3532	456	14	20	20	NUM
ejpam-3532	456	15	]	]	PUNCT
ejpam-3532	456	16	won	win	VERB
ejpam-3532	456	17	young	young	PROPN
ejpam-3532	456	18	yang	yang	PROPN
ejpam-3532	456	19	,	,	PUNCT
ejpam-3532	456	20	wenwu	wenwu	PROPN
ejpam-3532	456	21	cao	cao	PROPN
ejpam-3532	456	22	,	,	PUNCT
ejpam-3532	456	23	tae	tae	NOUN
ejpam-3532	456	24	-	-	PUNCT
ejpam-3532	456	25	sang	sing	VERB
ejpam-3532	456	26	chung	chung	PROPN
ejpam-3532	456	27	and	and	CCONJ
ejpam-3532	456	28	john	john	PROPN
ejpam-3532	456	29	morris	morris	PROPN
ejpam-3532	456	30	.	.	PROPN
ejpam-3532	457	1	applied	apply	VERB
ejpam-3532	457	2	numerical	numerical	ADJ
ejpam-3532	457	3	methods	method	NOUN
ejpam-3532	457	4	using	use	VERB
ejpam-3532	457	5	matlab	matlab	PROPN
ejpam-3532	457	6	.	.	PUNCT
ejpam-3532	458	1	wiley	wiley	PROPN
ejpam-3532	458	2	-	-	PUNCT
ejpam-3532	458	3	interscience	interscience	PROPN
ejpam-3532	458	4	[	[	X
ejpam-3532	458	5	21	21	NUM
ejpam-3532	458	6	]	]	PUNCT
ejpam-3532	458	7	yves	yve	NOUN
ejpam-3532	458	8	cherruault	cherruault	NOUN
ejpam-3532	458	9	.	.	PUNCT
ejpam-3532	459	1	biomathématique	biomathématique	ADJ
ejpam-3532	459	2	.	.	PUNCT
ejpam-3532	460	1	collection	collection	PROPN
ejpam-3532	460	2	que	que	PROPN
ejpam-3532	460	3	sais	sais	PROPN
ejpam-3532	460	4	-	-	PROPN
ejpam-3532	460	5	je	je	PROPN
ejpam-3532	460	6	?	?	PUNCT
ejpam-3532	460	7	(	(	PUNCT
ejpam-3532	460	8	n	n	CCONJ
ejpam-3532	460	9	◦	◦	NOUN
ejpam-3532	460	10	2052	2052	NUM
ejpam-3532	460	11	)	)	PUNCT
ejpam-3532	460	12	p.u.f.1983	p.u.f.1983	NOUN
ejpam-3532	460	13	.	.	PUNCT
ejpam-3532	461	1	[	[	X
ejpam-3532	461	2	22	22	NUM
ejpam-3532	461	3	]	]	PUNCT
ejpam-3532	461	4	yves	yve	NOUN
ejpam-3532	461	5	cherruault	cherruault	NOUN
ejpam-3532	461	6	.	.	PUNCT
ejpam-3532	462	1	modèles	modèle	VERB
ejpam-3532	462	2	et	et	PRON
ejpam-3532	462	3	méthodes	méthode	NOUN
ejpam-3532	462	4	mathématiques	mathématiques	PROPN
ejpam-3532	462	5	pour	pour	VERB
ejpam-3532	462	6	les	les	PROPN
ejpam-3532	462	7	sciences	sciences	PROPN
ejpam-3532	462	8	du	du	PROPN
ejpam-3532	462	9	vivant	vivant	PROPN
ejpam-3532	462	10	.	.	PUNCT
ejpam-3532	462	11	presse	presse	PROPN
ejpam-3532	462	12	universitaire	universitaire	PROPN
ejpam-3532	462	13	de	de	PROPN
ejpam-3532	462	14	france	france	PROPN
ejpam-3532	462	15	,	,	PUNCT
ejpam-3532	462	16	paris	paris	PROPN
ejpam-3532	462	17	(	(	PUNCT
ejpam-3532	462	18	1998	1998	NUM
ejpam-3532	462	19	)	)	PUNCT