id	sid	tid	token	lemma	pos
ejpam-3727	1	1	european	european	PROPN
ejpam-3727	1	2	journal	journal	PROPN
ejpam-3727	1	3	of	of	ADP
ejpam-3727	1	4	pure	pure	ADJ
ejpam-3727	1	5	and	and	CCONJ
ejpam-3727	1	6	applied	apply	VERB
ejpam-3727	1	7	mathematics	mathematic	NOUN
ejpam-3727	1	8	vol	vol	NOUN
ejpam-3727	1	9	.	.	PROPN
ejpam-3727	2	1	13	13	NUM
ejpam-3727	2	2	,	,	PUNCT
ejpam-3727	2	3	no	no	INTJ
ejpam-3727	2	4	.	.	NOUN
ejpam-3727	2	5	3	3	NUM
ejpam-3727	2	6	,	,	PUNCT
ejpam-3727	2	7	2020	2020	NUM
ejpam-3727	2	8	,	,	PUNCT
ejpam-3727	2	9	549	549	NUM
ejpam-3727	2	10	-	-	SYM
ejpam-3727	2	11	566	566	NUM
ejpam-3727	2	12	issn	issn	PROPN
ejpam-3727	2	13	1307	1307	NUM
ejpam-3727	2	14	-	-	SYM
ejpam-3727	2	15	5543	5543	NUM
ejpam-3727	2	16	–	–	PUNCT
ejpam-3727	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3727	2	18	published	publish	VERB
ejpam-3727	2	19	by	by	ADP
ejpam-3727	2	20	new	new	PROPN
ejpam-3727	2	21	york	york	PROPN
ejpam-3727	2	22	business	business	PROPN
ejpam-3727	2	23	global	global	ADJ
ejpam-3727	2	24	modelling	modelling	NOUN
ejpam-3727	2	25	and	and	CCONJ
ejpam-3727	2	26	simulating	simulate	VERB
ejpam-3727	2	27	a	a	DET
ejpam-3727	2	28	transmission	transmission	NOUN
ejpam-3727	2	29	of	of	ADP
ejpam-3727	2	30	covid-19	covid-19	PROPN
ejpam-3727	2	31	disease	disease	NOUN
ejpam-3727	2	32	:	:	PUNCT
ejpam-3727	2	33	niger	niger	PROPN
ejpam-3727	2	34	republic	republic	NOUN
ejpam-3727	2	35	case	case	PROPN
ejpam-3727	2	36	abba	abba	PROPN
ejpam-3727	2	37	mahamane	mahamane	PROPN
ejpam-3727	2	38	oumarou1	oumarou1	PROPN
ejpam-3727	2	39	,	,	PUNCT
ejpam-3727	2	40	saley	saley	NOUN
ejpam-3727	2	41	bisso2,∗	bisso2,∗	PROPN
ejpam-3727	2	42	department	department	PROPN
ejpam-3727	2	43	of	of	ADP
ejpam-3727	2	44	mathematics	mathematics	PROPN
ejpam-3727	2	45	and	and	CCONJ
ejpam-3727	2	46	informatics	informatic	NOUN
ejpam-3727	2	47	,	,	PUNCT
ejpam-3727	2	48	faculty	faculty	NOUN
ejpam-3727	2	49	of	of	ADP
ejpam-3727	2	50	sciences	science	NOUN
ejpam-3727	2	51	and	and	CCONJ
ejpam-3727	2	52	techniques	technique	NOUN
ejpam-3727	2	53	,	,	PUNCT
ejpam-3727	2	54	university	university	PROPN
ejpam-3727	2	55	abdou	abdou	PROPN
ejpam-3727	2	56	moumouni	moumouni	PROPN
ejpam-3727	2	57	,	,	PUNCT
ejpam-3727	2	58	p.o	p.o	PROPN
ejpam-3727	2	59	.	.	PROPN
ejpam-3727	2	60	box	box	PROPN
ejpam-3727	2	61	10	10	NUM
ejpam-3727	2	62	662	662	NUM
ejpam-3727	2	63	,	,	PUNCT
ejpam-3727	2	64	niamey	niamey	NOUN
ejpam-3727	2	65	,	,	PUNCT
ejpam-3727	2	66	niger	niger	NOUN
ejpam-3727	2	67	abstract	abstract	NOUN
ejpam-3727	2	68	.	.	PUNCT
ejpam-3727	3	1	this	this	DET
ejpam-3727	3	2	paper	paper	NOUN
ejpam-3727	3	3	focuses	focus	VERB
ejpam-3727	3	4	on	on	ADP
ejpam-3727	3	5	the	the	DET
ejpam-3727	3	6	dynamics	dynamic	NOUN
ejpam-3727	3	7	of	of	ADP
ejpam-3727	3	8	spreads	spread	NOUN
ejpam-3727	3	9	of	of	ADP
ejpam-3727	3	10	a	a	DET
ejpam-3727	3	11	coronavirus	coronavirus	NOUN
ejpam-3727	3	12	disease	disease	NOUN
ejpam-3727	3	13	(	(	PUNCT
ejpam-3727	3	14	covid-19	covid-19	PROPN
ejpam-3727	3	15	)	)	PUNCT
ejpam-3727	3	16	.	.	PUNCT
ejpam-3727	4	1	through	through	ADP
ejpam-3727	4	2	this	this	DET
ejpam-3727	4	3	paper	paper	NOUN
ejpam-3727	4	4	,	,	PUNCT
ejpam-3727	4	5	we	we	PRON
ejpam-3727	4	6	study	study	VERB
ejpam-3727	4	7	the	the	DET
ejpam-3727	4	8	impact	impact	NOUN
ejpam-3727	4	9	of	of	ADP
ejpam-3727	4	10	a	a	DET
ejpam-3727	4	11	contact	contact	NOUN
ejpam-3727	4	12	rate	rate	NOUN
ejpam-3727	4	13	in	in	ADP
ejpam-3727	4	14	the	the	DET
ejpam-3727	4	15	transmission	transmission	NOUN
ejpam-3727	4	16	of	of	ADP
ejpam-3727	4	17	the	the	DET
ejpam-3727	4	18	disease	disease	NOUN
ejpam-3727	4	19	.	.	PUNCT
ejpam-3727	5	1	we	we	PRON
ejpam-3727	5	2	determine	determine	VERB
ejpam-3727	5	3	the	the	DET
ejpam-3727	5	4	basic	basic	ADJ
ejpam-3727	5	5	reproductive	reproductive	ADJ
ejpam-3727	5	6	number	number	NOUN
ejpam-3727	5	7	r0	r0	NOUN
ejpam-3727	5	8	,	,	PUNCT
ejpam-3727	5	9	by	by	ADP
ejpam-3727	5	10	using	use	VERB
ejpam-3727	5	11	the	the	DET
ejpam-3727	5	12	next	next	ADJ
ejpam-3727	5	13	generation	generation	NOUN
ejpam-3727	5	14	matrix	matrix	NOUN
ejpam-3727	5	15	method	method	NOUN
ejpam-3727	5	16	.	.	PUNCT
ejpam-3727	6	1	we	we	PRON
ejpam-3727	6	2	also	also	ADV
ejpam-3727	6	3	determine	determine	VERB
ejpam-3727	6	4	the	the	DET
ejpam-3727	6	5	disease	disease	NOUN
ejpam-3727	6	6	free	free	ADJ
ejpam-3727	6	7	equilibrium	equilibrium	NOUN
ejpam-3727	6	8	and	and	CCONJ
ejpam-3727	6	9	endemic	endemic	ADJ
ejpam-3727	6	10	equilibrium	equilibrium	NOUN
ejpam-3727	6	11	points	point	NOUN
ejpam-3727	6	12	of	of	ADP
ejpam-3727	6	13	our	our	PRON
ejpam-3727	6	14	model	model	NOUN
ejpam-3727	6	15	.	.	PUNCT
ejpam-3727	7	1	we	we	PRON
ejpam-3727	7	2	prove	prove	VERB
ejpam-3727	7	3	that	that	SCONJ
ejpam-3727	7	4	the	the	DET
ejpam-3727	7	5	disease	disease	NOUN
ejpam-3727	7	6	free	free	ADJ
ejpam-3727	7	7	equilibrium	equilibrium	NOUN
ejpam-3727	7	8	is	be	AUX
ejpam-3727	7	9	asymptotically	asymptotically	ADV
ejpam-3727	7	10	stable	stable	ADJ
ejpam-3727	7	11	if	if	SCONJ
ejpam-3727	7	12	r0	r0	NOUN
ejpam-3727	7	13	<	<	X
ejpam-3727	7	14	1	1	NUM
ejpam-3727	7	15	and	and	CCONJ
ejpam-3727	7	16	unstable	unstable	ADJ
ejpam-3727	7	17	if	if	SCONJ
ejpam-3727	7	18	r0	r0	NOUN
ejpam-3727	7	19	>	>	X
ejpam-3727	7	20	1	1	X
ejpam-3727	7	21	.	.	PUNCT
ejpam-3727	8	1	the	the	DET
ejpam-3727	8	2	asymptotical	asymptotical	ADJ
ejpam-3727	8	3	stability	stability	NOUN
ejpam-3727	8	4	of	of	ADP
ejpam-3727	8	5	endemic	endemic	ADJ
ejpam-3727	8	6	equilibrium	equilibrium	NOUN
ejpam-3727	8	7	is	be	AUX
ejpam-3727	8	8	also	also	ADV
ejpam-3727	8	9	establish	establish	VERB
ejpam-3727	8	10	.	.	PUNCT
ejpam-3727	9	1	numerical	numerical	ADJ
ejpam-3727	9	2	simulations	simulation	NOUN
ejpam-3727	9	3	are	be	AUX
ejpam-3727	9	4	made	make	VERB
ejpam-3727	9	5	to	to	PART
ejpam-3727	9	6	show	show	VERB
ejpam-3727	9	7	the	the	DET
ejpam-3727	9	8	impact	impact	NOUN
ejpam-3727	9	9	of	of	ADP
ejpam-3727	9	10	contact	contact	NOUN
ejpam-3727	9	11	rate	rate	NOUN
ejpam-3727	9	12	in	in	ADP
ejpam-3727	9	13	the	the	DET
ejpam-3727	9	14	spread	spread	NOUN
ejpam-3727	9	15	of	of	ADP
ejpam-3727	9	16	disease	disease	NOUN
ejpam-3727	9	17	.	.	PUNCT
ejpam-3727	10	1	2020	2020	NUM
ejpam-3727	10	2	mathematics	mathematic	NOUN
ejpam-3727	10	3	subject	subject	NOUN
ejpam-3727	10	4	classifications	classification	NOUN
ejpam-3727	10	5	:	:	PUNCT
ejpam-3727	10	6	34d20	34d20	NUM
ejpam-3727	10	7	,	,	PUNCT
ejpam-3727	10	8	92b05	92b05	NUM
ejpam-3727	10	9	,	,	PUNCT
ejpam-3727	10	10	92d25	92d25	NUM
ejpam-3727	10	11	,	,	PUNCT
ejpam-3727	10	12	92d30	92d30	NUM
ejpam-3727	10	13	key	key	ADJ
ejpam-3727	10	14	words	word	NOUN
ejpam-3727	10	15	and	and	CCONJ
ejpam-3727	10	16	phrases	phrase	NOUN
ejpam-3727	10	17	:	:	PUNCT
ejpam-3727	10	18	ordinary	ordinary	ADJ
ejpam-3727	10	19	differential	differential	ADJ
ejpam-3727	10	20	equation	equation	NOUN
ejpam-3727	10	21	,	,	PUNCT
ejpam-3727	10	22	stability	stability	NOUN
ejpam-3727	10	23	,	,	PUNCT
ejpam-3727	10	24	basic	basic	ADJ
ejpam-3727	10	25	reproductive	reproductive	ADJ
ejpam-3727	10	26	number	number	NOUN
ejpam-3727	10	27	,	,	PUNCT
ejpam-3727	10	28	deterministic	deterministic	ADJ
ejpam-3727	10	29	model	model	NOUN
ejpam-3727	10	30	,	,	PUNCT
ejpam-3727	10	31	covid-19	covid-19	PROPN
ejpam-3727	10	32	,	,	PUNCT
ejpam-3727	10	33	simulation	simulation	NOUN
ejpam-3727	10	34	1	1	NUM
ejpam-3727	10	35	.	.	PUNCT
ejpam-3727	11	1	introduction	introduction	NOUN
ejpam-3727	11	2	this	this	DET
ejpam-3727	11	3	paper	paper	NOUN
ejpam-3727	11	4	present	present	VERB
ejpam-3727	11	5	a	a	DET
ejpam-3727	11	6	model	model	NOUN
ejpam-3727	11	7	of	of	ADP
ejpam-3727	11	8	the	the	DET
ejpam-3727	11	9	new	new	ADJ
ejpam-3727	11	10	disease	disease	NOUN
ejpam-3727	11	11	caused	cause	VERB
ejpam-3727	11	12	by	by	ADP
ejpam-3727	11	13	a	a	DET
ejpam-3727	11	14	sras	sra	NOUN
ejpam-3727	11	15	-	-	PUNCT
ejpam-3727	11	16	cov-2	cov-2	PART
ejpam-3727	11	17	virus	virus	NOUN
ejpam-3727	11	18	.	.	PUNCT
ejpam-3727	12	1	the	the	DET
ejpam-3727	12	2	coronavirus	coronavirus	NOUN
ejpam-3727	12	3	disease	disease	NOUN
ejpam-3727	12	4	(	(	PUNCT
ejpam-3727	12	5	covid-19	covid-19	PROPN
ejpam-3727	12	6	)	)	PUNCT
ejpam-3727	12	7	start	start	VERB
ejpam-3727	12	8	officialy	officialy	NOUN
ejpam-3727	12	9	on	on	ADP
ejpam-3727	12	10	december	december	PROPN
ejpam-3727	12	11	31th	31th	NUM
ejpam-3727	12	12	,	,	PUNCT
ejpam-3727	12	13	2019	2019	NUM
ejpam-3727	12	14	in	in	ADP
ejpam-3727	12	15	wuhan	wuhan	PROPN
ejpam-3727	12	16	(	(	PUNCT
ejpam-3727	12	17	republic	republic	NOUN
ejpam-3727	12	18	of	of	ADP
ejpam-3727	12	19	china	china	PROPN
ejpam-3727	12	20	)	)	PUNCT
ejpam-3727	13	1	[	[	X
ejpam-3727	13	2	8	8	NUM
ejpam-3727	13	3	]	]	PUNCT
ejpam-3727	13	4	and	and	CCONJ
ejpam-3727	13	5	spread	spread	VERB
ejpam-3727	13	6	all	all	ADV
ejpam-3727	13	7	over	over	ADP
ejpam-3727	13	8	the	the	DET
ejpam-3727	13	9	world	world	NOUN
ejpam-3727	13	10	.	.	PUNCT
ejpam-3727	14	1	as	as	ADP
ejpam-3727	14	2	of	of	ADP
ejpam-3727	14	3	february	february	PROPN
ejpam-3727	14	4	14th	14th	NUM
ejpam-3727	14	5	,	,	PUNCT
ejpam-3727	14	6	2020	2020	NUM
ejpam-3727	14	7	world	world	PROPN
ejpam-3727	14	8	health	health	NOUN
ejpam-3727	14	9	organization	organization	NOUN
ejpam-3727	14	10	(	(	PUNCT
ejpam-3727	14	11	who	who	PRON
ejpam-3727	14	12	)	)	PUNCT
ejpam-3727	14	13	has	have	AUX
ejpam-3727	14	14	confirmed	confirm	VERB
ejpam-3727	14	15	the	the	DET
ejpam-3727	14	16	first	first	ADJ
ejpam-3727	14	17	coronavirus	coronavirus	NOUN
ejpam-3727	14	18	disease	disease	NOUN
ejpam-3727	14	19	(	(	PUNCT
ejpam-3727	14	20	covid-19	covid-19	PROPN
ejpam-3727	14	21	)	)	PUNCT
ejpam-3727	14	22	case	case	NOUN
ejpam-3727	14	23	in	in	ADP
ejpam-3727	14	24	egypt	egypt	PROPN
ejpam-3727	14	25	,	,	PUNCT
ejpam-3727	14	26	after	after	ADP
ejpam-3727	14	27	official	official	ADJ
ejpam-3727	14	28	confirmation	confirmation	NOUN
ejpam-3727	14	29	by	by	ADP
ejpam-3727	14	30	egyptian	egyptian	PROPN
ejpam-3727	14	31	ministry	ministry	PROPN
ejpam-3727	14	32	of	of	ADP
ejpam-3727	14	33	health	health	PROPN
ejpam-3727	14	34	and	and	CCONJ
ejpam-3727	14	35	population	population	NOUN
ejpam-3727	14	36	[	[	X
ejpam-3727	14	37	6	6	NUM
ejpam-3727	14	38	]	]	PUNCT
ejpam-3727	14	39	,	,	PUNCT
ejpam-3727	14	40	it	it	PRON
ejpam-3727	14	41	is	be	AUX
ejpam-3727	14	42	the	the	DET
ejpam-3727	14	43	first	first	ADJ
ejpam-3727	14	44	case	case	NOUN
ejpam-3727	14	45	in	in	ADP
ejpam-3727	14	46	africa	africa	PROPN
ejpam-3727	14	47	.	.	PUNCT
ejpam-3727	15	1	because	because	SCONJ
ejpam-3727	15	2	of	of	ADP
ejpam-3727	15	3	the	the	DET
ejpam-3727	15	4	rapid	rapid	ADJ
ejpam-3727	15	5	spread	spread	NOUN
ejpam-3727	15	6	of	of	ADP
ejpam-3727	15	7	the	the	DET
ejpam-3727	15	8	virus	virus	NOUN
ejpam-3727	15	9	on	on	ADP
ejpam-3727	15	10	a	a	DET
ejpam-3727	15	11	global	global	ADJ
ejpam-3727	15	12	scale	scale	NOUN
ejpam-3727	15	13	,	,	PUNCT
ejpam-3727	15	14	the	the	DET
ejpam-3727	15	15	world	world	PROPN
ejpam-3727	15	16	health	health	NOUN
ejpam-3727	15	17	organization	organization	NOUN
ejpam-3727	15	18	(	(	PUNCT
ejpam-3727	15	19	who	who	PRON
ejpam-3727	15	20	)	)	PUNCT
ejpam-3727	15	21	declared	declare	VERB
ejpam-3727	15	22	covid-19	covid-19	PROPN
ejpam-3727	15	23	a	a	DET
ejpam-3727	15	24	pandemic	pandemic	NOUN
ejpam-3727	15	25	on	on	ADP
ejpam-3727	15	26	march	march	PROPN
ejpam-3727	15	27	11th	11th	NOUN
ejpam-3727	15	28	,	,	PUNCT
ejpam-3727	15	29	2020	2020	NUM
ejpam-3727	16	1	[	[	X
ejpam-3727	16	2	7	7	NUM
ejpam-3727	16	3	]	]	PUNCT
ejpam-3727	16	4	.	.	PUNCT
ejpam-3727	17	1	as	as	ADP
ejpam-3727	17	2	april	april	PROPN
ejpam-3727	17	3	30th	30th	NUM
ejpam-3727	17	4	,	,	PUNCT
ejpam-3727	17	5	2020	2020	NUM
ejpam-3727	17	6	,	,	PUNCT
ejpam-3727	17	7	there	there	PRON
ejpam-3727	17	8	were	be	VERB
ejpam-3727	17	9	3,229,814	3,229,814	NUM
ejpam-3727	17	10	confirmed	confirm	VERB
ejpam-3727	17	11	cases	case	NOUN
ejpam-3727	17	12	worldwide	worldwide	ADV
ejpam-3727	17	13	,	,	PUNCT
ejpam-3727	17	14	including	include	VERB
ejpam-3727	17	15	1,006,987	1,006,987	NUM
ejpam-3727	17	16	people	people	NOUN
ejpam-3727	17	17	recovered	recover	VERB
ejpam-3727	17	18	and	and	CCONJ
ejpam-3727	17	19	228,376	228,376	NUM
ejpam-3727	17	20	deaths	death	NOUN
ejpam-3727	17	21	[	[	X
ejpam-3727	17	22	11	11	NUM
ejpam-3727	17	23	]	]	PUNCT
ejpam-3727	17	24	.	.	PUNCT
ejpam-3727	18	1	republic	republic	NOUN
ejpam-3727	18	2	of	of	ADP
ejpam-3727	18	3	niger	niger	PROPN
ejpam-3727	18	4	registered	register	VERB
ejpam-3727	18	5	its	its	PRON
ejpam-3727	18	6	first	first	ADJ
ejpam-3727	18	7	confirmed	confirm	VERB
ejpam-3727	18	8	case	case	NOUN
ejpam-3727	18	9	on	on	ADP
ejpam-3727	18	10	thursday	thursday	PROPN
ejpam-3727	18	11	march	march	PROPN
ejpam-3727	18	12	19th	19th	NOUN
ejpam-3727	18	13	,	,	PUNCT
ejpam-3727	18	14	2020	2020	NUM
ejpam-3727	19	1	[	[	X
ejpam-3727	19	2	1	1	NUM
ejpam-3727	19	3	]	]	PUNCT
ejpam-3727	19	4	.	.	PUNCT
ejpam-3727	20	1	as	as	ADP
ejpam-3727	20	2	of	of	ADP
ejpam-3727	20	3	this	this	DET
ejpam-3727	20	4	date	date	NOUN
ejpam-3727	20	5	,	,	PUNCT
ejpam-3727	20	6	niger	niger	NOUN
ejpam-3727	20	7	officially	officially	ADV
ejpam-3727	20	8	has	have	VERB
ejpam-3727	20	9	713	713	NUM
ejpam-3727	20	10	confirmed	confirm	VERB
ejpam-3727	20	11	cases	case	NOUN
ejpam-3727	20	12	,	,	PUNCT
ejpam-3727	20	13	including	include	VERB
ejpam-3727	20	14	435	435	NUM
ejpam-3727	20	15	people	people	NOUN
ejpam-3727	20	16	recovered	recover	VERB
ejpam-3727	20	17	and	and	CCONJ
ejpam-3727	20	18	32	32	NUM
ejpam-3727	20	19	deaths	death	NOUN
ejpam-3727	20	20	[	[	X
ejpam-3727	20	21	11	11	NUM
ejpam-3727	20	22	]	]	PUNCT
ejpam-3727	20	23	.	.	PUNCT
ejpam-3727	21	1	in	in	ADP
ejpam-3727	21	2	order	order	NOUN
ejpam-3727	21	3	to	to	PART
ejpam-3727	21	4	overcome	overcome	VERB
ejpam-3727	21	5	the	the	DET
ejpam-3727	21	6	spread	spread	NOUN
ejpam-3727	21	7	of	of	ADP
ejpam-3727	21	8	the	the	DET
ejpam-3727	21	9	disease	disease	NOUN
ejpam-3727	21	10	,	,	PUNCT
ejpam-3727	21	11	government	government	NOUN
ejpam-3727	21	12	and	and	CCONJ
ejpam-3727	21	13	scientists	scientist	NOUN
ejpam-3727	21	14	proposed	propose	VERB
ejpam-3727	21	15	several	several	ADJ
ejpam-3727	21	16	strategies	strategy	NOUN
ejpam-3727	21	17	.	.	PUNCT
ejpam-3727	22	1	our	our	PRON
ejpam-3727	22	2	model	model	NOUN
ejpam-3727	22	3	takes	take	VERB
ejpam-3727	22	4	account	account	NOUN
ejpam-3727	22	5	the	the	DET
ejpam-3727	22	6	contact	contact	NOUN
ejpam-3727	22	7	rate	rate	NOUN
ejpam-3727	22	8	,	,	PUNCT
ejpam-3727	22	9	a	a	DET
ejpam-3727	22	10	major	major	ADJ
ejpam-3727	22	11	factor	factor	NOUN
ejpam-3727	22	12	in	in	ADP
ejpam-3727	22	13	the	the	DET
ejpam-3727	22	14	spreading	spreading	NOUN
ejpam-3727	22	15	of	of	ADP
ejpam-3727	22	16	disease	disease	NOUN
ejpam-3727	22	17	.	.	PUNCT
ejpam-3727	23	1	we	we	PRON
ejpam-3727	23	2	analyse	analyse	VERB
ejpam-3727	23	3	and	and	CCONJ
ejpam-3727	23	4	∗corresponding	∗corresponde	VERB
ejpam-3727	23	5	author	author	NOUN
ejpam-3727	23	6	.	.	PUNCT
ejpam-3727	24	1	doi	doi	NOUN
ejpam-3727	24	2	:	:	PUNCT
ejpam-3727	24	3	https://doi.org/10.29020/nybg.ejpam.v13i3.3727	https://doi.org/10.29020/nybg.ejpam.v13i3.3727	ADP
ejpam-3727	24	4	email	email	NOUN
ejpam-3727	24	5	addresses	address	NOUN
ejpam-3727	24	6	:	:	PUNCT
ejpam-3727	24	7	omarab2005@yahoo.fr	omarab2005@yahoo.fr	NOUN
ejpam-3727	24	8	(	(	PUNCT
ejpam-3727	24	9	a.	a.	NOUN
ejpam-3727	24	10	m.	m.	PROPN
ejpam-3727	24	11	oumarou	oumarou	PROPN
ejpam-3727	24	12	)	)	PUNCT
ejpam-3727	24	13	,	,	PUNCT
ejpam-3727	24	14	bsaley@yahoo.fr	bsaley@yahoo.fr	PROPN
ejpam-3727	24	15	(	(	PUNCT
ejpam-3727	24	16	s.	s.	PROPN
ejpam-3727	24	17	bisso	bisso	PROPN
ejpam-3727	24	18	)	)	PUNCT
ejpam-3727	24	19	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-3727	24	20	549	549	NUM
ejpam-3727	25	1	c	c	NOUN
ejpam-3727	25	2	©	©	PROPN
ejpam-3727	25	3	2020	2020	NUM
ejpam-3727	25	4	ejpam	ejpam	VERB
ejpam-3727	25	5	all	all	DET
ejpam-3727	25	6	rights	right	NOUN
ejpam-3727	25	7	reserved	reserve	VERB
ejpam-3727	25	8	.	.	PUNCT
ejpam-3727	26	1	a.	a.	PROPN
ejpam-3727	26	2	m.	m.	PROPN
ejpam-3727	26	3	oumarou	oumarou	PROPN
ejpam-3727	26	4	,	,	PUNCT
ejpam-3727	26	5	s.	s.	PROPN
ejpam-3727	26	6	bisso	bisso	PROPN
ejpam-3727	26	7	/	/	SYM
ejpam-3727	26	8	eur	eur	PROPN
ejpam-3727	26	9	.	.	PUNCT
ejpam-3727	27	1	j.	j.	PROPN
ejpam-3727	27	2	pure	pure	PROPN
ejpam-3727	27	3	appl	appl	PROPN
ejpam-3727	27	4	.	.	PROPN
ejpam-3727	27	5	math	math	PROPN
ejpam-3727	27	6	,	,	PUNCT
ejpam-3727	27	7	13	13	NUM
ejpam-3727	27	8	(	(	PUNCT
ejpam-3727	27	9	3	3	NUM
ejpam-3727	27	10	)	)	PUNCT
ejpam-3727	27	11	(	(	PUNCT
ejpam-3727	27	12	2020	2020	NUM
ejpam-3727	27	13	)	)	PUNCT
ejpam-3727	27	14	,	,	PUNCT
ejpam-3727	27	15	549	549	NUM
ejpam-3727	27	16	-	-	SYM
ejpam-3727	27	17	566	566	NUM
ejpam-3727	27	18	550	550	NUM
ejpam-3727	27	19	propose	propose	ADJ
ejpam-3727	27	20	measures	measure	NOUN
ejpam-3727	27	21	to	to	ADP
ejpam-3727	27	22	government	government	NOUN
ejpam-3727	27	23	to	to	PART
ejpam-3727	27	24	help	help	VERB
ejpam-3727	27	25	them	they	PRON
ejpam-3727	27	26	in	in	ADP
ejpam-3727	27	27	their	their	PRON
ejpam-3727	27	28	decision	decision	NOUN
ejpam-3727	27	29	-	-	PUNCT
ejpam-3727	27	30	making	making	NOUN
ejpam-3727	27	31	in	in	ADP
ejpam-3727	27	32	the	the	DET
ejpam-3727	27	33	response	response	NOUN
ejpam-3727	27	34	to	to	ADP
ejpam-3727	27	35	the	the	DET
ejpam-3727	27	36	disease	disease	NOUN
ejpam-3727	27	37	.	.	PUNCT
ejpam-3727	28	1	the	the	DET
ejpam-3727	28	2	paper	paper	NOUN
ejpam-3727	28	3	is	be	AUX
ejpam-3727	28	4	organised	organise	VERB
ejpam-3727	28	5	as	as	ADP
ejpam-3727	28	6	follow	follow	NOUN
ejpam-3727	28	7	:	:	PUNCT
ejpam-3727	28	8	second	second	ADJ
ejpam-3727	28	9	section	section	NOUN
ejpam-3727	28	10	is	be	AUX
ejpam-3727	28	11	devoted	devote	VERB
ejpam-3727	28	12	to	to	ADP
ejpam-3727	28	13	model	model	NOUN
ejpam-3727	28	14	formulation	formulation	NOUN
ejpam-3727	28	15	,	,	PUNCT
ejpam-3727	28	16	in	in	ADP
ejpam-3727	28	17	the	the	DET
ejpam-3727	28	18	third	third	ADJ
ejpam-3727	28	19	section	section	NOUN
ejpam-3727	28	20	we	we	PRON
ejpam-3727	28	21	are	be	AUX
ejpam-3727	28	22	interested	interested	ADJ
ejpam-3727	28	23	in	in	ADP
ejpam-3727	28	24	a	a	DET
ejpam-3727	28	25	disease	disease	NOUN
ejpam-3727	28	26	free	free	ADJ
ejpam-3727	28	27	equilibrium	equilibrium	NOUN
ejpam-3727	28	28	point	point	NOUN
ejpam-3727	28	29	and	and	CCONJ
ejpam-3727	28	30	reproductive	reproductive	ADJ
ejpam-3727	28	31	number	number	NOUN
ejpam-3727	28	32	r0	r0	NOUN
ejpam-3727	28	33	,	,	PUNCT
ejpam-3727	28	34	fourth	fourth	ADJ
ejpam-3727	28	35	section	section	NOUN
ejpam-3727	28	36	is	be	AUX
ejpam-3727	28	37	dedicated	dedicate	VERB
ejpam-3727	28	38	to	to	ADP
ejpam-3727	28	39	analysis	analysis	NOUN
ejpam-3727	28	40	of	of	ADP
ejpam-3727	28	41	the	the	DET
ejpam-3727	28	42	stability	stability	NOUN
ejpam-3727	28	43	of	of	ADP
ejpam-3727	28	44	disease	disease	NOUN
ejpam-3727	28	45	free	free	ADJ
ejpam-3727	28	46	equilibrium	equilibrium	NOUN
ejpam-3727	28	47	,	,	PUNCT
ejpam-3727	28	48	in	in	ADP
ejpam-3727	28	49	section	section	NOUN
ejpam-3727	28	50	five	five	NUM
ejpam-3727	28	51	we	we	PRON
ejpam-3727	28	52	are	be	AUX
ejpam-3727	28	53	interested	interested	ADJ
ejpam-3727	28	54	in	in	ADP
ejpam-3727	28	55	the	the	DET
ejpam-3727	28	56	analysis	analysis	NOUN
ejpam-3727	28	57	of	of	ADP
ejpam-3727	28	58	the	the	DET
ejpam-3727	28	59	stability	stability	NOUN
ejpam-3727	28	60	of	of	ADP
ejpam-3727	28	61	endemic	endemic	ADJ
ejpam-3727	28	62	equilibrium	equilibrium	NOUN
ejpam-3727	28	63	,	,	PUNCT
ejpam-3727	28	64	in	in	ADP
ejpam-3727	28	65	section	section	NOUN
ejpam-3727	28	66	six	six	NUM
ejpam-3727	28	67	a	a	DET
ejpam-3727	28	68	real	real	ADJ
ejpam-3727	28	69	-	-	PUNCT
ejpam-3727	28	70	world	world	NOUN
ejpam-3727	28	71	implementation	implementation	NOUN
ejpam-3727	28	72	and	and	CCONJ
ejpam-3727	28	73	numerical	numerical	ADJ
ejpam-3727	28	74	simulations	simulation	NOUN
ejpam-3727	28	75	for	for	ADP
ejpam-3727	28	76	niger	niger	NOUN
ejpam-3727	28	77	republic	republic	NOUN
ejpam-3727	28	78	will	will	AUX
ejpam-3727	28	79	be	be	AUX
ejpam-3727	28	80	presented	present	VERB
ejpam-3727	28	81	and	and	CCONJ
ejpam-3727	28	82	we	we	PRON
ejpam-3727	28	83	end	end	VERB
ejpam-3727	28	84	this	this	DET
ejpam-3727	28	85	work	work	NOUN
ejpam-3727	28	86	by	by	ADP
ejpam-3727	28	87	a	a	DET
ejpam-3727	28	88	conclusion	conclusion	NOUN
ejpam-3727	28	89	.	.	PUNCT
ejpam-3727	29	1	2	2	X
ejpam-3727	29	2	.	.	X
ejpam-3727	29	3	model	model	NOUN
ejpam-3727	29	4	formulation	formulation	NOUN
ejpam-3727	29	5	the	the	DET
ejpam-3727	29	6	total	total	ADJ
ejpam-3727	29	7	population	population	NOUN
ejpam-3727	29	8	n(t	n(t	NOUN
ejpam-3727	29	9	)	)	PUNCT
ejpam-3727	29	10	is	be	AUX
ejpam-3727	29	11	divided	divide	VERB
ejpam-3727	29	12	in	in	ADP
ejpam-3727	29	13	to	to	ADP
ejpam-3727	29	14	seven	seven	NUM
ejpam-3727	29	15	compartments	compartment	NOUN
ejpam-3727	29	16	corresponding	correspond	VERB
ejpam-3727	29	17	to	to	ADP
ejpam-3727	29	18	theirs	theirs	PRON
ejpam-3727	29	19	epidemiological	epidemiological	ADJ
ejpam-3727	29	20	status	status	NOUN
ejpam-3727	29	21	namely	namely	ADV
ejpam-3727	29	22	susceptible	susceptible	ADJ
ejpam-3727	29	23	individuals	individual	NOUN
ejpam-3727	29	24	s(t	s(t	PROPN
ejpam-3727	29	25	)	)	PUNCT
ejpam-3727	29	26	,	,	PUNCT
ejpam-3727	29	27	exposed	expose	VERB
ejpam-3727	29	28	individuals	individual	NOUN
ejpam-3727	29	29	e(t	e(t	NOUN
ejpam-3727	29	30	)	)	PUNCT
ejpam-3727	29	31	,	,	PUNCT
ejpam-3727	29	32	infectious	infectious	ADJ
ejpam-3727	29	33	individuals	individual	NOUN
ejpam-3727	29	34	i(t	i(t	NOUN
ejpam-3727	29	35	)	)	PUNCT
ejpam-3727	29	36	,	,	PUNCT
ejpam-3727	29	37	infectious	infectious	ADJ
ejpam-3727	29	38	asymptomatic	asymptomatic	ADJ
ejpam-3727	29	39	individuals	individual	NOUN
ejpam-3727	29	40	ia(t	ia(t	PUNCT
ejpam-3727	29	41	)	)	PUNCT
ejpam-3727	29	42	(	(	PUNCT
ejpam-3727	29	43	people	people	NOUN
ejpam-3727	29	44	who	who	PRON
ejpam-3727	29	45	are	be	AUX
ejpam-3727	29	46	infected	infect	VERB
ejpam-3727	29	47	but	but	CCONJ
ejpam-3727	29	48	do	do	AUX
ejpam-3727	29	49	not	not	PART
ejpam-3727	29	50	develop	develop	VERB
ejpam-3727	29	51	disease	disease	NOUN
ejpam-3727	29	52	and	and	CCONJ
ejpam-3727	29	53	have	have	VERB
ejpam-3727	29	54	no	no	DET
ejpam-3727	29	55	symptoms	symptom	NOUN
ejpam-3727	29	56	)	)	PUNCT
ejpam-3727	29	57	,	,	PUNCT
ejpam-3727	29	58	infectious	infectious	ADJ
ejpam-3727	29	59	symptomatic	symptomatic	ADJ
ejpam-3727	29	60	individuals	individual	NOUN
ejpam-3727	29	61	is(t	is(t	PUNCT
ejpam-3727	29	62	)	)	PUNCT
ejpam-3727	29	63	(	(	PUNCT
ejpam-3727	29	64	people	people	NOUN
ejpam-3727	29	65	infected	infect	VERB
ejpam-3727	29	66	who	who	PRON
ejpam-3727	29	67	develop	develop	VERB
ejpam-3727	29	68	disease	disease	NOUN
ejpam-3727	29	69	and	and	CCONJ
ejpam-3727	29	70	have	have	VERB
ejpam-3727	29	71	a	a	DET
ejpam-3727	29	72	symptoms	symptom	NOUN
ejpam-3727	29	73	)	)	PUNCT
ejpam-3727	29	74	,	,	PUNCT
ejpam-3727	29	75	infectious	infectious	ADJ
ejpam-3727	29	76	individuals	individual	NOUN
ejpam-3727	29	77	in	in	ADP
ejpam-3727	29	78	critical	critical	ADJ
ejpam-3727	29	79	cases	case	NOUN
ejpam-3727	29	80	i	i	PRON
ejpam-3727	29	81	d	d	PROPN
ejpam-3727	29	82	and	and	CCONJ
ejpam-3727	29	83	recovered	recover	VERB
ejpam-3727	29	84	individuals	individual	NOUN
ejpam-3727	29	85	r(t	r(t	NOUN
ejpam-3727	29	86	)	)	PUNCT
ejpam-3727	29	87	(	(	PUNCT
ejpam-3727	29	88	infected	infect	VERB
ejpam-3727	29	89	people	people	NOUN
ejpam-3727	29	90	who	who	PRON
ejpam-3727	29	91	develop	develop	VERB
ejpam-3727	29	92	disease	disease	NOUN
ejpam-3727	29	93	with	with	ADP
ejpam-3727	29	94	symptoms	symptom	NOUN
ejpam-3727	29	95	and	and	CCONJ
ejpam-3727	29	96	are	be	AUX
ejpam-3727	29	97	in	in	ADP
ejpam-3727	29	98	critical	critical	ADJ
ejpam-3727	29	99	conditions	condition	NOUN
ejpam-3727	29	100	requiring	require	VERB
ejpam-3727	29	101	respirator	respirator	NOUN
ejpam-3727	29	102	assistance	assistance	NOUN
ejpam-3727	29	103	)	)	PUNCT
ejpam-3727	29	104	.	.	PUNCT
ejpam-3727	30	1	thus	thus	ADV
ejpam-3727	30	2	the	the	DET
ejpam-3727	30	3	total	total	ADJ
ejpam-3727	30	4	population	population	NOUN
ejpam-3727	30	5	size	size	NOUN
ejpam-3727	30	6	is	be	AUX
ejpam-3727	30	7	given	give	VERB
ejpam-3727	30	8	by	by	ADP
ejpam-3727	30	9	:	:	PUNCT
ejpam-3727	30	10	n(t	n(t	PROPN
ejpam-3727	30	11	)	)	PUNCT
ejpam-3727	30	12	=	=	SYM
ejpam-3727	30	13	s(t)+e(t)+i(t)+ia(t)+is(t)+id(t)+r(t	s(t)+e(t)+i(t)+ia(t)+is(t)+id(t)+r(t	NOUN
ejpam-3727	30	14	)	)	PUNCT
ejpam-3727	30	15	.	.	PUNCT
ejpam-3727	31	1	the	the	DET
ejpam-3727	31	2	parameters	parameter	NOUN
ejpam-3727	31	3	used	use	VERB
ejpam-3727	31	4	are	be	AUX
ejpam-3727	31	5	described	describe	VERB
ejpam-3727	31	6	as	as	ADP
ejpam-3727	31	7	follow	follow	NOUN
ejpam-3727	31	8	:	:	PUNCT
ejpam-3727	31	9	•	•	NUM
ejpam-3727	31	10	µ	µ	PRON
ejpam-3727	31	11	natural	natural	ADJ
ejpam-3727	31	12	mortality	mortality	NOUN
ejpam-3727	31	13	rate	rate	NOUN
ejpam-3727	31	14	.	.	PUNCT
ejpam-3727	32	1	•	•	NUM
ejpam-3727	32	2	µ1	µ1	PROPN
ejpam-3727	32	3	covid-19	covid-19	PROPN
ejpam-3727	32	4	related	related	ADJ
ejpam-3727	32	5	mortality	mortality	NOUN
ejpam-3727	32	6	rate	rate	NOUN
ejpam-3727	32	7	.	.	PUNCT
ejpam-3727	33	1	•	•	NUM
ejpam-3727	33	2	β	β	ADP
ejpam-3727	33	3	a	a	DET
ejpam-3727	33	4	contact	contact	NOUN
ejpam-3727	33	5	rate	rate	NOUN
ejpam-3727	33	6	.	.	PUNCT
ejpam-3727	34	1	•	•	NUM
ejpam-3727	34	2	α	α	PRON
ejpam-3727	34	3	rate	rate	NOUN
ejpam-3727	34	4	moving	move	VERB
ejpam-3727	34	5	from	from	ADP
ejpam-3727	34	6	exposed	expose	VERB
ejpam-3727	34	7	to	to	ADP
ejpam-3727	34	8	infectious	infectious	ADJ
ejpam-3727	34	9	.	.	PUNCT
ejpam-3727	35	1	•	•	NUM
ejpam-3727	35	2	α1	α1	PROPN
ejpam-3727	35	3	rate	rate	NOUN
ejpam-3727	35	4	moving	move	VERB
ejpam-3727	35	5	from	from	ADP
ejpam-3727	35	6	infectious	infectious	ADJ
ejpam-3727	35	7	to	to	ADP
ejpam-3727	35	8	asymptomatic	asymptomatic	ADJ
ejpam-3727	35	9	infectious	infectious	ADJ
ejpam-3727	35	10	.	.	PUNCT
ejpam-3727	36	1	•	•	NUM
ejpam-3727	36	2	α2	α2	ADJ
ejpam-3727	36	3	rate	rate	NOUN
ejpam-3727	36	4	moving	move	VERB
ejpam-3727	36	5	from	from	ADP
ejpam-3727	36	6	infectious	infectious	ADJ
ejpam-3727	36	7	to	to	ADP
ejpam-3727	36	8	symptomatic	symptomatic	ADJ
ejpam-3727	36	9	infectious	infectious	ADJ
ejpam-3727	36	10	.	.	PUNCT
ejpam-3727	37	1	•	•	NUM
ejpam-3727	37	2	γ	γ	NOUN
ejpam-3727	37	3	rate	rate	NOUN
ejpam-3727	37	4	moving	move	VERB
ejpam-3727	37	5	from	from	ADP
ejpam-3727	37	6	asymptomatic	asymptomatic	ADJ
ejpam-3727	37	7	infectious	infectious	ADJ
ejpam-3727	37	8	to	to	PART
ejpam-3727	37	9	recovered	recover	VERB
ejpam-3727	37	10	.	.	PUNCT
ejpam-3727	38	1	•	•	NUM
ejpam-3727	38	2	θ1	θ1	PROPN
ejpam-3727	38	3	rate	rate	NOUN
ejpam-3727	38	4	moving	move	VERB
ejpam-3727	38	5	from	from	ADP
ejpam-3727	38	6	symptomatic	symptomatic	ADJ
ejpam-3727	38	7	infectious	infectious	ADJ
ejpam-3727	38	8	to	to	PART
ejpam-3727	38	9	recovered	recover	VERB
ejpam-3727	38	10	.	.	PUNCT
ejpam-3727	39	1	•	•	NUM
ejpam-3727	39	2	θ2	θ2	ADP
ejpam-3727	39	3	rate	rate	NOUN
ejpam-3727	39	4	moving	move	VERB
ejpam-3727	39	5	from	from	ADP
ejpam-3727	39	6	symptomatic	symptomatic	ADJ
ejpam-3727	39	7	infectious	infectious	ADJ
ejpam-3727	39	8	to	to	ADP
ejpam-3727	39	9	infectious	infectious	ADJ
ejpam-3727	39	10	in	in	ADP
ejpam-3727	39	11	critical	critical	ADJ
ejpam-3727	39	12	cases	case	NOUN
ejpam-3727	39	13	.	.	PUNCT
ejpam-3727	40	1	•	•	NUM
ejpam-3727	40	2	ψ	ψ	X
ejpam-3727	40	3	rate	rate	NOUN
ejpam-3727	40	4	moving	move	VERB
ejpam-3727	40	5	from	from	ADP
ejpam-3727	40	6	recovered	recover	VERB
ejpam-3727	40	7	to	to	PART
ejpam-3727	40	8	susceptible	susceptible	ADJ
ejpam-3727	40	9	.	.	PUNCT
ejpam-3727	40	10	a.	a.	PROPN
ejpam-3727	40	11	m.	m.	PROPN
ejpam-3727	40	12	oumarou	oumarou	PROPN
ejpam-3727	40	13	,	,	PUNCT
ejpam-3727	40	14	s.	s.	PROPN
ejpam-3727	40	15	bisso	bisso	PROPN
ejpam-3727	40	16	/	/	SYM
ejpam-3727	40	17	eur	eur	PROPN
ejpam-3727	40	18	.	.	PUNCT
ejpam-3727	41	1	j.	j.	PROPN
ejpam-3727	41	2	pure	pure	PROPN
ejpam-3727	41	3	appl	appl	PROPN
ejpam-3727	41	4	.	.	PROPN
ejpam-3727	41	5	math	math	PROPN
ejpam-3727	41	6	,	,	PUNCT
ejpam-3727	41	7	13	13	NUM
ejpam-3727	41	8	(	(	PUNCT
ejpam-3727	41	9	3	3	NUM
ejpam-3727	41	10	)	)	PUNCT
ejpam-3727	41	11	(	(	PUNCT
ejpam-3727	41	12	2020	2020	NUM
ejpam-3727	41	13	)	)	PUNCT
ejpam-3727	41	14	,	,	PUNCT
ejpam-3727	41	15	549	549	NUM
ejpam-3727	41	16	-	-	SYM
ejpam-3727	41	17	566	566	NUM
ejpam-3727	41	18	551	551	NUM
ejpam-3727	41	19	the	the	DET
ejpam-3727	41	20	variables	variable	NOUN
ejpam-3727	41	21	and	and	CCONJ
ejpam-3727	41	22	model	model	NOUN
ejpam-3727	41	23	are	be	AUX
ejpam-3727	41	24	describe	describe	NOUN
ejpam-3727	41	25	in	in	ADP
ejpam-3727	41	26	this	this	DET
ejpam-3727	41	27	figure	figure	NOUN
ejpam-3727	41	28	:	:	PUNCT
ejpam-3727	41	29	figure	figure	NOUN
ejpam-3727	41	30	1	1	NUM
ejpam-3727	41	31	:	:	PUNCT
ejpam-3727	41	32	flow	flow	NOUN
ejpam-3727	41	33	diagram	diagram	NOUN
ejpam-3727	41	34	of	of	ADP
ejpam-3727	41	35	covid-19	covid-19	PROPN
ejpam-3727	41	36	transmission	transmission	NOUN
ejpam-3727	41	37	dynamics	dynamic	NOUN
ejpam-3727	41	38	under	under	ADP
ejpam-3727	41	39	the	the	DET
ejpam-3727	41	40	above	above	ADJ
ejpam-3727	41	41	assumptions	assumption	NOUN
ejpam-3727	41	42	and	and	CCONJ
ejpam-3727	41	43	parameters	parameter	NOUN
ejpam-3727	41	44	and	and	CCONJ
ejpam-3727	41	45	using	use	VERB
ejpam-3727	41	46	the	the	DET
ejpam-3727	41	47	compartmental	compartmental	ADJ
ejpam-3727	41	48	analysis	analysis	NOUN
ejpam-3727	41	49	theory	theory	NOUN
ejpam-3727	41	50	,	,	PUNCT
ejpam-3727	41	51	we	we	PRON
ejpam-3727	41	52	obtain	obtain	VERB
ejpam-3727	41	53	the	the	DET
ejpam-3727	41	54	unique	unique	ADJ
ejpam-3727	41	55	system	system	NOUN
ejpam-3727	41	56	of	of	ADP
ejpam-3727	41	57	differential	differential	ADJ
ejpam-3727	41	58	equations	equation	NOUN
ejpam-3727	41	59	that	that	PRON
ejpam-3727	41	60	described	describe	VERB
ejpam-3727	41	61	the	the	DET
ejpam-3727	41	62	dynamic	dynamic	NOUN
ejpam-3727	41	63	of	of	ADP
ejpam-3727	41	64	disease	disease	NOUN
ejpam-3727	41	65	as	as	ADP
ejpam-3727	41	66	follow:	follow:	NUM
ejpam-3727	41	67	ds(t	ds(t	NOUN
ejpam-3727	41	68	)	)	PUNCT
ejpam-3727	41	69	dt	dt	NOUN
ejpam-3727	42	1	=	=	SYM
ejpam-3727	42	2	ψr−	ψr−	ADJ
ejpam-3727	42	3	β	β	X
ejpam-3727	42	4	(	(	PUNCT
ejpam-3727	42	5	i(t)+ia(t)+is(t)+id(t	i(t)+ia(t)+is(t)+id(t	ADJ
ejpam-3727	42	6	)	)	PUNCT
ejpam-3727	42	7	)	)	PUNCT
ejpam-3727	43	1	n(t	n(t	PROPN
ejpam-3727	43	2	)	)	PUNCT
ejpam-3727	43	3	s(t)−	s(t)−	PROPN
ejpam-3727	43	4	µs(t	µs(t	NUM
ejpam-3727	43	5	)	)	PUNCT
ejpam-3727	43	6	de(t	de(t	NUM
ejpam-3727	43	7	)	)	PUNCT
ejpam-3727	43	8	dt	dt	X
ejpam-3727	44	1	=	=	PUNCT
ejpam-3727	44	2	β	β	X
ejpam-3727	44	3	(	(	PUNCT
ejpam-3727	44	4	i(t)+ia(t)+is(t)+id(t	i(t)+ia(t)+is(t)+id(t	ADJ
ejpam-3727	44	5	)	)	PUNCT
ejpam-3727	44	6	)	)	PUNCT
ejpam-3727	45	1	n(t	n(t	PROPN
ejpam-3727	45	2	)	)	PUNCT
ejpam-3727	45	3	s(t)−	s(t)−	PROPN
ejpam-3727	45	4	αe(t)−	αe(t)−	PROPN
ejpam-3727	45	5	µe(t	µe(t	PRON
ejpam-3727	45	6	)	)	PUNCT
ejpam-3727	45	7	di(t	di(t	NOUN
ejpam-3727	45	8	)	)	PUNCT
ejpam-3727	45	9	dt	dt	X
ejpam-3727	46	1	=	=	SYM
ejpam-3727	46	2	αe(t)−	αe(t)−	PROPN
ejpam-3727	46	3	α1i(t)−	α1i(t)−	PROPN
ejpam-3727	46	4	α2i(t)−	α2i(t)−	PROPN
ejpam-3727	46	5	µi(t	µi(t	ADP
ejpam-3727	46	6	)	)	PUNCT
ejpam-3727	46	7	dia(t	dia(t	PROPN
ejpam-3727	46	8	)	)	PUNCT
ejpam-3727	46	9	dt	dt	NOUN
ejpam-3727	47	1	=	=	PUNCT
ejpam-3727	47	2	α1i(t)−	α1i(t)−	PROPN
ejpam-3727	47	3	γia(t)−	γia(t)−	PROPN
ejpam-3727	47	4	µia(t	µia(t	PROPN
ejpam-3727	47	5	)	)	PUNCT
ejpam-3727	47	6	dis(t	dis(t	PROPN
ejpam-3727	47	7	)	)	PUNCT
ejpam-3727	47	8	dt	dt	NOUN
ejpam-3727	48	1	=	=	SYM
ejpam-3727	48	2	α2i(t)−	α2i(t)−	PUNCT
ejpam-3727	48	3	θ1is(t)−	θ1is(t)−	PROPN
ejpam-3727	48	4	θ2is(t)−	θ2is(t)−	PROPN
ejpam-3727	48	5	µis(t	µis(t	PROPN
ejpam-3727	48	6	)	)	PUNCT
ejpam-3727	48	7	did(t	did(t	ADV
ejpam-3727	48	8	)	)	PUNCT
ejpam-3727	48	9	dt	dt	NOUN
ejpam-3727	48	10	=	=	SYM
ejpam-3727	48	11	θ2is	θ2is	PUNCT
ejpam-3727	49	1	−	−	PROPN
ejpam-3727	49	2	θdid(t)−	θdid(t)−	PROPN
ejpam-3727	49	3	µ1id(t)−	µ1id(t)−	PROPN
ejpam-3727	49	4	µid(t	µid(t	PROPN
ejpam-3727	49	5	)	)	PUNCT
ejpam-3727	49	6	dr(t	dr(t	NOUN
ejpam-3727	49	7	)	)	PUNCT
ejpam-3727	49	8	dt	dt	NOUN
ejpam-3727	50	1	=	=	SYM
ejpam-3727	50	2	γia(t	γia(t	NOUN
ejpam-3727	50	3	)	)	PUNCT
ejpam-3727	50	4	+	+	ADJ
ejpam-3727	50	5	θ1is(t	θ1is(t	PROPN
ejpam-3727	50	6	)	)	PUNCT
ejpam-3727	50	7	+	+	NUM
ejpam-3727	50	8	θdid(t)−	θdid(t)−	PROPN
ejpam-3727	50	9	ψr(t)−	ψr(t)−	PROPN
ejpam-3727	50	10	µr(t	µr(t	NUM
ejpam-3727	50	11	)	)	PUNCT
ejpam-3727	50	12	(	(	PUNCT
ejpam-3727	50	13	1	1	X
ejpam-3727	50	14	)	)	PUNCT
ejpam-3727	50	15	a.	a.	NOUN
ejpam-3727	50	16	m.	m.	NOUN
ejpam-3727	50	17	oumarou	oumarou	PROPN
ejpam-3727	50	18	,	,	PUNCT
ejpam-3727	50	19	s.	s.	PROPN
ejpam-3727	50	20	bisso	bisso	PROPN
ejpam-3727	50	21	/	/	SYM
ejpam-3727	50	22	eur	eur	PROPN
ejpam-3727	50	23	.	.	PUNCT
ejpam-3727	51	1	j.	j.	PROPN
ejpam-3727	51	2	pure	pure	PROPN
ejpam-3727	51	3	appl	appl	PROPN
ejpam-3727	51	4	.	.	PROPN
ejpam-3727	51	5	math	math	PROPN
ejpam-3727	51	6	,	,	PUNCT
ejpam-3727	51	7	13	13	NUM
ejpam-3727	51	8	(	(	PUNCT
ejpam-3727	51	9	3	3	NUM
ejpam-3727	51	10	)	)	PUNCT
ejpam-3727	51	11	(	(	PUNCT
ejpam-3727	51	12	2020	2020	NUM
ejpam-3727	51	13	)	)	PUNCT
ejpam-3727	51	14	,	,	PUNCT
ejpam-3727	51	15	549	549	NUM
ejpam-3727	51	16	-	-	SYM
ejpam-3727	51	17	566	566	NUM
ejpam-3727	51	18	552	552	NUM
ejpam-3727	51	19	with	with	ADP
ejpam-3727	51	20	initial	initial	ADJ
ejpam-3727	51	21	conditions	condition	NOUN
ejpam-3727	51	22	:	:	PUNCT
ejpam-3727	51	23	s(0	s(0	PROPN
ejpam-3727	51	24	)	)	PUNCT
ejpam-3727	51	25	>	>	X
ejpam-3727	51	26	0	0	NUM
ejpam-3727	51	27	,	,	PUNCT
ejpam-3727	51	28	e(0	e(0	NOUN
ejpam-3727	51	29	)	)	PUNCT
ejpam-3727	51	30	>	>	X
ejpam-3727	51	31	0	0	NUM
ejpam-3727	51	32	,	,	PUNCT
ejpam-3727	51	33	i(0	i(0	PROPN
ejpam-3727	51	34	)	)	PUNCT
ejpam-3727	51	35	>	>	X
ejpam-3727	51	36	0	0	NUM
ejpam-3727	51	37	,	,	PUNCT
ejpam-3727	51	38	i0(0	i0(0	PROPN
ejpam-3727	51	39	)	)	PUNCT
ejpam-3727	51	40	>	>	X
ejpam-3727	51	41	0	0	NUM
ejpam-3727	51	42	,	,	PUNCT
ejpam-3727	51	43	is(0	is(0	NOUN
ejpam-3727	51	44	)	)	PUNCT
ejpam-3727	51	45	>	>	X
ejpam-3727	51	46	0	0	NUM
ejpam-3727	51	47	,	,	PUNCT
ejpam-3727	51	48	id(0	id(0	NOUN
ejpam-3727	51	49	)	)	PUNCT
ejpam-3727	51	50	>	>	X
ejpam-3727	51	51	0	0	NUM
ejpam-3727	51	52	,	,	PUNCT
ejpam-3727	51	53	r(0	r(0	PROPN
ejpam-3727	51	54	)	)	PUNCT
ejpam-3727	51	55	>	>	X
ejpam-3727	51	56	0	0	X
ejpam-3727	51	57	.	.	NOUN
ejpam-3727	52	1	3	3	X
ejpam-3727	52	2	.	.	X
ejpam-3727	52	3	disease	disease	NOUN
ejpam-3727	52	4	free	free	ADJ
ejpam-3727	52	5	equilibrium	equilibrium	NOUN
ejpam-3727	52	6	and	and	CCONJ
ejpam-3727	52	7	reproductive	reproductive	ADJ
ejpam-3727	52	8	number	number	NOUN
ejpam-3727	52	9	r0	r0	NOUN
ejpam-3727	52	10	the	the	DET
ejpam-3727	52	11	disease	disease	NOUN
ejpam-3727	52	12	free	free	ADJ
ejpam-3727	52	13	equilibrium	equilibrium	NOUN
ejpam-3727	52	14	of	of	ADP
ejpam-3727	52	15	a	a	DET
ejpam-3727	52	16	model	model	NOUN
ejpam-3727	52	17	(	(	PUNCT
ejpam-3727	52	18	1	1	NUM
ejpam-3727	52	19	)	)	PUNCT
ejpam-3727	52	20	is	be	AUX
ejpam-3727	52	21	determined	determine	VERB
ejpam-3727	52	22	by	by	ADP
ejpam-3727	52	23	solving	solve	VERB
ejpam-3727	52	24	the	the	DET
ejpam-3727	52	25	following	follow	VERB
ejpam-3727	52	26	system	system	NOUN
ejpam-3727	52	27	:	:	PUNCT
ejpam-3727	52	28			NUM
ejpam-3727	52	29	ds(t	ds(t	ADJ
ejpam-3727	52	30	)	)	PUNCT
ejpam-3727	52	31	dt	dt	PUNCT
ejpam-3727	53	1	=	=	SYM
ejpam-3727	53	2	0	0	NUM
ejpam-3727	53	3	de(t	de(t	NUM
ejpam-3727	53	4	)	)	PUNCT
ejpam-3727	53	5	dt	dt	NOUN
ejpam-3727	54	1	=	=	SYM
ejpam-3727	54	2	0	0	NUM
ejpam-3727	54	3	di(t	di(t	NUM
ejpam-3727	54	4	)	)	PUNCT
ejpam-3727	54	5	dt	dt	NOUN
ejpam-3727	55	1	=	=	SYM
ejpam-3727	55	2	0	0	NUM
ejpam-3727	55	3	dia(t	dia(t	NOUN
ejpam-3727	55	4	)	)	PUNCT
ejpam-3727	55	5	dt	dt	NOUN
ejpam-3727	56	1	=	=	SYM
ejpam-3727	56	2	0	0	NUM
ejpam-3727	56	3	dis(t	dis(t	PROPN
ejpam-3727	56	4	)	)	PUNCT
ejpam-3727	56	5	dt	dt	NOUN
ejpam-3727	57	1	=	=	SYM
ejpam-3727	57	2	0	0	NUM
ejpam-3727	58	1	did(t	did(t	NOUN
ejpam-3727	58	2	)	)	PUNCT
ejpam-3727	58	3	dt	dt	NOUN
ejpam-3727	59	1	=	=	SYM
ejpam-3727	59	2	0	0	NUM
ejpam-3727	59	3	(	(	PUNCT
ejpam-3727	59	4	2	2	X
ejpam-3727	59	5	)	)	PUNCT
ejpam-3727	59	6	see	see	VERB
ejpam-3727	60	1	[	[	X
ejpam-3727	60	2	[	[	X
ejpam-3727	60	3	9],[2	9],[2	NUM
ejpam-3727	60	4	]	]	X
ejpam-3727	60	5	]	]	PUNCT
ejpam-3727	60	6	.	.	PUNCT
ejpam-3727	61	1	the	the	DET
ejpam-3727	61	2	solution	solution	NOUN
ejpam-3727	61	3	of	of	ADP
ejpam-3727	61	4	(	(	PUNCT
ejpam-3727	61	5	2	2	NUM
ejpam-3727	61	6	)	)	PUNCT
ejpam-3727	61	7	,	,	PUNCT
ejpam-3727	61	8	in	in	ADP
ejpam-3727	61	9	the	the	DET
ejpam-3727	61	10	case	case	NOUN
ejpam-3727	61	11	of	of	ADP
ejpam-3727	61	12	absence	absence	NOUN
ejpam-3727	61	13	of	of	ADP
ejpam-3727	61	14	disease	disease	NOUN
ejpam-3727	61	15	(	(	PUNCT
ejpam-3727	61	16	this	this	PRON
ejpam-3727	61	17	means	mean	VERB
ejpam-3727	61	18	that	that	SCONJ
ejpam-3727	61	19	all	all	DET
ejpam-3727	61	20	compartments	compartment	NOUN
ejpam-3727	61	21	is	be	AUX
ejpam-3727	61	22	equal	equal	ADJ
ejpam-3727	61	23	to	to	ADP
ejpam-3727	61	24	zero	zero	NUM
ejpam-3727	61	25	except	except	SCONJ
ejpam-3727	61	26	susceptible	susceptible	ADJ
ejpam-3727	61	27	compartment	compartment	NOUN
ejpam-3727	61	28	)	)	PUNCT
ejpam-3727	61	29	and	and	CCONJ
ejpam-3727	61	30	after	after	ADP
ejpam-3727	61	31	normalization	normalization	NOUN
ejpam-3727	61	32	we	we	PRON
ejpam-3727	61	33	have	have	VERB
ejpam-3727	61	34	:	:	PUNCT
ejpam-3727	61	35	e0	e0	PROPN
ejpam-3727	61	36	=	=	PUNCT
ejpam-3727	61	37	(	(	PUNCT
ejpam-3727	61	38	1	1	NUM
ejpam-3727	61	39	,	,	PUNCT
ejpam-3727	61	40	0	0	NUM
ejpam-3727	61	41	,	,	PUNCT
ejpam-3727	61	42	0	0	NUM
ejpam-3727	61	43	,	,	PUNCT
ejpam-3727	61	44	0	0	NUM
ejpam-3727	61	45	,	,	PUNCT
ejpam-3727	61	46	0	0	NUM
ejpam-3727	61	47	,	,	PUNCT
ejpam-3727	61	48	0	0	NUM
ejpam-3727	61	49	)	)	PUNCT
ejpam-3727	61	50	.	.	PUNCT
ejpam-3727	62	1	we	we	PRON
ejpam-3727	62	2	determine	determine	VERB
ejpam-3727	62	3	the	the	DET
ejpam-3727	62	4	basic	basic	ADJ
ejpam-3727	62	5	reproductive	reproductive	ADJ
ejpam-3727	62	6	number	number	NOUN
ejpam-3727	62	7	by	by	ADP
ejpam-3727	62	8	using	use	VERB
ejpam-3727	62	9	the	the	DET
ejpam-3727	62	10	next	next	ADJ
ejpam-3727	62	11	generation	generation	NOUN
ejpam-3727	62	12	matrix	matrix	NOUN
ejpam-3727	62	13	method	method	NOUN
ejpam-3727	62	14	[	[	X
ejpam-3727	62	15	[	[	X
ejpam-3727	62	16	4	4	NUM
ejpam-3727	62	17	]	]	PUNCT
ejpam-3727	62	18	,	,	PUNCT
ejpam-3727	62	19	[	[	X
ejpam-3727	62	20	10	10	NUM
ejpam-3727	62	21	]	]	X
ejpam-3727	62	22	]	]	PUNCT
ejpam-3727	62	23	at	at	ADP
ejpam-3727	62	24	disease	disease	NOUN
ejpam-3727	62	25	free	free	ADJ
ejpam-3727	62	26	equilibrium	equilibrium	NOUN
ejpam-3727	62	27	.	.	PUNCT
ejpam-3727	63	1	the	the	DET
ejpam-3727	63	2	basic	basic	ADJ
ejpam-3727	63	3	reproductive	reproductive	ADJ
ejpam-3727	63	4	number	number	NOUN
ejpam-3727	63	5	r0	r0	NOUN
ejpam-3727	63	6	is	be	AUX
ejpam-3727	63	7	defined	define	VERB
ejpam-3727	63	8	as	as	ADP
ejpam-3727	63	9	the	the	DET
ejpam-3727	63	10	effective	effective	ADJ
ejpam-3727	63	11	number	number	NOUN
ejpam-3727	63	12	of	of	ADP
ejpam-3727	63	13	secondary	secondary	ADJ
ejpam-3727	63	14	infections	infection	NOUN
ejpam-3727	63	15	caused	cause	VERB
ejpam-3727	63	16	by	by	ADP
ejpam-3727	63	17	typical	typical	ADJ
ejpam-3727	63	18	infected	infected	ADJ
ejpam-3727	63	19	individual	individual	NOUN
ejpam-3727	63	20	during	during	ADP
ejpam-3727	63	21	his	his	PRON
ejpam-3727	63	22	/	/	SYM
ejpam-3727	63	23	her	her	PRON
ejpam-3727	63	24	entire	entire	ADJ
ejpam-3727	63	25	period	period	NOUN
ejpam-3727	63	26	of	of	ADP
ejpam-3727	63	27	infectioussness	infectioussness	NOUN
ejpam-3727	63	28	[	[	X
ejpam-3727	63	29	[	[	X
ejpam-3727	63	30	5],[3	5],[3	NUM
ejpam-3727	63	31	]	]	X
ejpam-3727	63	32	]	]	PUNCT
ejpam-3727	63	33	.	.	PUNCT
ejpam-3727	64	1	let	let	VERB
ejpam-3727	64	2	x	x	PRON
ejpam-3727	64	3	be	be	AUX
ejpam-3727	64	4	vector	vector	NOUN
ejpam-3727	64	5	of	of	ADP
ejpam-3727	64	6	infected	infected	ADJ
ejpam-3727	64	7	classes	class	NOUN
ejpam-3727	64	8	:	:	PUNCT
ejpam-3727	64	9	x	x	SYM
ejpam-3727	64	10	=	=	SYM
ejpam-3727	64	11	(	(	PUNCT
ejpam-3727	64	12	e	e	NOUN
ejpam-3727	64	13	,	,	PUNCT
ejpam-3727	64	14	i	i	PRON
ejpam-3727	64	15	,	,	PUNCT
ejpam-3727	64	16	ia	ia	PROPN
ejpam-3727	64	17	,	,	PUNCT
ejpam-3727	64	18	is	be	AUX
ejpam-3727	64	19	,	,	PUNCT
ejpam-3727	64	20	i	i	PROPN
ejpam-3727	64	21	d	d	PROPN
ejpam-3727	64	22	)	)	PUNCT
ejpam-3727	64	23	t	t	PROPN
ejpam-3727	64	24	.	.	PUNCT
ejpam-3727	65	1	(	(	PUNCT
ejpam-3727	65	2	3	3	X
ejpam-3727	65	3	)	)	PUNCT
ejpam-3727	65	4	f	f	NOUN
ejpam-3727	66	1	=	=	PRON
ejpam-3727	66	2	(	(	PUNCT
ejpam-3727	66	3	β	β	X
ejpam-3727	66	4	s(i	s(i	PROPN
ejpam-3727	66	5	+	+	CCONJ
ejpam-3727	66	6	ia	ia	PROPN
ejpam-3727	66	7	+	+	CCONJ
ejpam-3727	66	8	is	be	AUX
ejpam-3727	66	9	+	+	NUM
ejpam-3727	66	10	i	i	PROPN
ejpam-3727	66	11	d	d	PROPN
ejpam-3727	66	12	)	)	PUNCT
ejpam-3727	66	13	n	n	CCONJ
ejpam-3727	66	14	,	,	PUNCT
ejpam-3727	66	15	0	0	NUM
ejpam-3727	66	16	,	,	PUNCT
ejpam-3727	66	17	0	0	NUM
ejpam-3727	66	18	,	,	PUNCT
ejpam-3727	66	19	0	0	NUM
ejpam-3727	66	20	,	,	PUNCT
ejpam-3727	66	21	0	0	NUM
ejpam-3727	66	22	)	)	PUNCT
ejpam-3727	66	23	t	t	NOUN
ejpam-3727	66	24	(	(	PUNCT
ejpam-3727	66	25	4	4	X
ejpam-3727	66	26	)	)	PUNCT
ejpam-3727	66	27	denotes	denote	VERB
ejpam-3727	66	28	the	the	DET
ejpam-3727	66	29	vector	vector	NOUN
ejpam-3727	66	30	of	of	ADP
ejpam-3727	66	31	terms	term	NOUN
ejpam-3727	66	32	corresponding	correspond	VERB
ejpam-3727	66	33	to	to	ADP
ejpam-3727	66	34	new	new	ADJ
ejpam-3727	66	35	infection	infection	NOUN
ejpam-3727	66	36	.	.	PUNCT
ejpam-3727	67	1	v	v	X
ejpam-3727	67	2	=	=	NOUN
ejpam-3727	67	3			NOUN
ejpam-3727	67	4	µe	µe	ADP
ejpam-3727	67	5	+	+	CCONJ
ejpam-3727	67	6	αe	αe	VERB
ejpam-3727	67	7	µi	µi	NOUN
ejpam-3727	67	8	+	+	ADJ
ejpam-3727	67	9	α1i	α1i	NOUN
ejpam-3727	67	10	+	+	NUM
ejpam-3727	67	11	α2i	α2i	NOUN
ejpam-3727	67	12	+	+	CCONJ
ejpam-3727	67	13	αe	αe	PRON
ejpam-3727	67	14	µia	µia	NOUN
ejpam-3727	67	15	+	+	CCONJ
ejpam-3727	67	16	γia	γia	VERB
ejpam-3727	67	17	−	−	PROPN
ejpam-3727	67	18	α1i	α1i	NOUN
ejpam-3727	67	19	µis	µis	ADJ
ejpam-3727	67	20	+	+	X
ejpam-3727	67	21	θ1is	θ1is	NUM
ejpam-3727	67	22	+	+	CCONJ
ejpam-3727	67	23	θ2is	θ2is	PUNCT
ejpam-3727	67	24	−	−	PROPN
ejpam-3727	67	25	α2i	α2i	SYM
ejpam-3727	67	26	(	(	PUNCT
ejpam-3727	67	27	µ+	µ+	X
ejpam-3727	67	28	µ1)id	µ1)id	PRON
ejpam-3727	67	29	+	+	CCONJ
ejpam-3727	67	30	θdid	θdid	VERB
ejpam-3727	67	31	−	−	NOUN
ejpam-3727	67	32	θ2is	θ2is	PUNCT
ejpam-3727	67	33			NOUN
ejpam-3727	67	34	(	(	PUNCT
ejpam-3727	67	35	5	5	X
ejpam-3727	67	36	)	)	PUNCT
ejpam-3727	67	37	denotes	denote	VERB
ejpam-3727	67	38	the	the	DET
ejpam-3727	67	39	vector	vector	NOUN
ejpam-3727	67	40	of	of	ADP
ejpam-3727	67	41	terms	term	NOUN
ejpam-3727	67	42	corresponding	correspond	VERB
ejpam-3727	67	43	to	to	ADP
ejpam-3727	67	44	individuals	individual	NOUN
ejpam-3727	67	45	entering	enter	VERB
ejpam-3727	67	46	a	a	DET
ejpam-3727	67	47	given	give	VERB
ejpam-3727	67	48	compartment	compartment	NOUN
ejpam-3727	67	49	and	and	CCONJ
ejpam-3727	67	50	individuals	individual	NOUN
ejpam-3727	67	51	going	go	VERB
ejpam-3727	67	52	out	out	ADP
ejpam-3727	67	53	.	.	PUNCT
ejpam-3727	68	1	the	the	DET
ejpam-3727	68	2	partial	partial	ADJ
ejpam-3727	68	3	derivatives	derivative	NOUN
ejpam-3727	68	4	of	of	ADP
ejpam-3727	68	5	f	f	PROPN
ejpam-3727	68	6	and	and	CCONJ
ejpam-3727	68	7	v	v	X
ejpam-3727	68	8	with	with	ADP
ejpam-3727	68	9	respect	respect	NOUN
ejpam-3727	68	10	to	to	ADP
ejpam-3727	68	11	e	e	NOUN
ejpam-3727	68	12	,	,	PUNCT
ejpam-3727	68	13	i	i	PRON
ejpam-3727	68	14	,	,	PUNCT
ejpam-3727	68	15	ia	ia	PROPN
ejpam-3727	68	16	,	,	PUNCT
ejpam-3727	68	17	is	be	AUX
ejpam-3727	68	18	and	and	CCONJ
ejpam-3727	68	19	i	i	PRON
ejpam-3727	68	20	d	d	PROPN
ejpam-3727	68	21	are	be	AUX
ejpam-3727	68	22	given	give	VERB
ejpam-3727	68	23	by	by	ADP
ejpam-3727	68	24	the	the	DET
ejpam-3727	68	25	following	follow	VERB
ejpam-3727	68	26	matrices	matrix	NOUN
ejpam-3727	68	27	f	f	PROPN
ejpam-3727	68	28	and	and	CCONJ
ejpam-3727	68	29	v	v	ADP
ejpam-3727	68	30	:	:	PUNCT
ejpam-3727	68	31	f	f	NOUN
ejpam-3727	68	32	=	=	PUNCT
ejpam-3727	68	33			NOUN
ejpam-3727	68	34	0	0	PUNCT
ejpam-3727	68	35	β	β	X
ejpam-3727	68	36	β	β	X
ejpam-3727	68	37	β	β	X
ejpam-3727	68	38	β	β	X
ejpam-3727	68	39	0	0	NUM
ejpam-3727	68	40	0	0	NUM
ejpam-3727	68	41	0	0	NUM
ejpam-3727	68	42	0	0	NUM
ejpam-3727	68	43	0	0	NUM
ejpam-3727	68	44	0	0	NUM
ejpam-3727	68	45	0	0	NUM
ejpam-3727	68	46	0	0	NUM
ejpam-3727	68	47	0	0	NUM
ejpam-3727	68	48	0	0	NUM
ejpam-3727	68	49	0	0	NUM
ejpam-3727	68	50	0	0	NUM
ejpam-3727	68	51	0	0	NUM
ejpam-3727	68	52	0	0	NUM
ejpam-3727	68	53	0	0	NUM
ejpam-3727	68	54	0	0	NUM
ejpam-3727	68	55	0	0	NUM
ejpam-3727	68	56	0	0	NUM
ejpam-3727	68	57	0	0	NUM
ejpam-3727	68	58	0	0	NUM
ejpam-3727	68	59	v	v	PROPN
ejpam-3727	68	60	=	=	NOUN
ejpam-3727	68	61			NOUN
ejpam-3727	68	62	µ+	µ+	VERB
ejpam-3727	68	63	α	α	NOUN
ejpam-3727	68	64	0	0	NUM
ejpam-3727	68	65	0	0	NUM
ejpam-3727	68	66	0	0	NUM
ejpam-3727	68	67	0	0	NUM
ejpam-3727	68	68	−α	−α	PROPN
ejpam-3727	68	69	µ+	µ+	PUNCT
ejpam-3727	68	70	α1	α1	PROPN
ejpam-3727	68	71	+	+	CCONJ
ejpam-3727	68	72	α2	α2	ADJ
ejpam-3727	68	73	0	0	SYM
ejpam-3727	68	74	0	0	NUM
ejpam-3727	68	75	0	0	SYM
ejpam-3727	68	76	0	0	NUM
ejpam-3727	69	1	−α1	−α1	VERB
ejpam-3727	69	2	µ+	µ+	VERB
ejpam-3727	69	3	γ	γ	NOUN
ejpam-3727	69	4	0	0	NUM
ejpam-3727	69	5	0	0	NUM
ejpam-3727	69	6	0	0	NUM
ejpam-3727	70	1	−α2	−α2	PROPN
ejpam-3727	70	2	0	0	NUM
ejpam-3727	70	3	µ+	µ+	PUNCT
ejpam-3727	70	4	θ1	θ1	NOUN
ejpam-3727	70	5	+	+	CCONJ
ejpam-3727	70	6	θ2	θ2	PROPN
ejpam-3727	70	7	0	0	NUM
ejpam-3727	70	8	0	0	NUM
ejpam-3727	70	9	0	0	SYM
ejpam-3727	70	10	0	0	NUM
ejpam-3727	70	11	−θ2	−θ2	PROPN
ejpam-3727	70	12	µ+	µ+	PUNCT
ejpam-3727	70	13	µ1	µ1	PROPN
ejpam-3727	70	14	+	+	NOUN
ejpam-3727	70	15	θd	θd	NOUN
ejpam-3727	70	16			NOUN
ejpam-3727	70	17	(	(	PUNCT
ejpam-3727	70	18	6	6	NUM
ejpam-3727	70	19	)	)	PUNCT
ejpam-3727	70	20	a.	a.	NOUN
ejpam-3727	70	21	m.	m.	NOUN
ejpam-3727	70	22	oumarou	oumarou	PROPN
ejpam-3727	70	23	,	,	PUNCT
ejpam-3727	70	24	s.	s.	PROPN
ejpam-3727	70	25	bisso	bisso	PROPN
ejpam-3727	70	26	/	/	SYM
ejpam-3727	70	27	eur	eur	PROPN
ejpam-3727	70	28	.	.	PUNCT
ejpam-3727	71	1	j.	j.	PROPN
ejpam-3727	71	2	pure	pure	PROPN
ejpam-3727	71	3	appl	appl	PROPN
ejpam-3727	71	4	.	.	PROPN
ejpam-3727	71	5	math	math	PROPN
ejpam-3727	71	6	,	,	PUNCT
ejpam-3727	71	7	13	13	NUM
ejpam-3727	71	8	(	(	PUNCT
ejpam-3727	71	9	3	3	NUM
ejpam-3727	71	10	)	)	PUNCT
ejpam-3727	71	11	(	(	PUNCT
ejpam-3727	71	12	2020	2020	NUM
ejpam-3727	71	13	)	)	PUNCT
ejpam-3727	71	14	,	,	PUNCT
ejpam-3727	71	15	549	549	NUM
ejpam-3727	71	16	-	-	SYM
ejpam-3727	71	17	566	566	NUM
ejpam-3727	71	18	553	553	NUM
ejpam-3727	71	19	then	then	ADV
ejpam-3727	71	20	we	we	PRON
ejpam-3727	71	21	have	have	VERB
ejpam-3727	71	22	v−1	v−1	PROPN
ejpam-3727	71	23	given	give	VERB
ejpam-3727	71	24	by	by	ADP
ejpam-3727	71	25	:	:	PUNCT
ejpam-3727	71	26	v−1	v−1	PROPN
ejpam-3727	71	27	=	=	NOUN
ejpam-3727	71	28			NOUN
ejpam-3727	71	29	1	1	NUM
ejpam-3727	71	30	µ+α	µ+α	NUM
ejpam-3727	71	31	0	0	NUM
ejpam-3727	71	32	0	0	NUM
ejpam-3727	71	33	0	0	NUM
ejpam-3727	71	34	0	0	NUM
ejpam-3727	71	35	α	α	NOUN
ejpam-3727	71	36	(	(	PUNCT
ejpam-3727	71	37	µ+α)(µ+α1+α2	µ+α)(µ+α1+α2	PROPN
ejpam-3727	71	38	)	)	PUNCT
ejpam-3727	71	39	1	1	NUM
ejpam-3727	71	40	µ+α1+α2	µ+α1+α2	NOUN
ejpam-3727	71	41	0	0	NUM
ejpam-3727	71	42	0	0	NUM
ejpam-3727	71	43	0	0	NUM
ejpam-3727	71	44	αα1	αα1	PROPN
ejpam-3727	71	45	(	(	PUNCT
ejpam-3727	71	46	µ+α)(µ+α1+α2)(µ+γ	µ+α)(µ+α1+α2)(µ+γ	NOUN
ejpam-3727	71	47	)	)	PUNCT
ejpam-3727	71	48	α1	α1	PROPN
ejpam-3727	71	49	(	(	PUNCT
ejpam-3727	71	50	µ+α1+α2)(µ+γ	µ+α1+α2)(µ+γ	NOUN
ejpam-3727	71	51	)	)	PUNCT
ejpam-3727	71	52	1	1	NUM
ejpam-3727	71	53	µ+γ	µ+γ	NUM
ejpam-3727	71	54	0	0	NUM
ejpam-3727	71	55	0	0	NUM
ejpam-3727	71	56	αα2	αα2	NOUN
ejpam-3727	71	57	(	(	PUNCT
ejpam-3727	71	58	µ+α)(µ+α1+α2)(µ+θ1+θ2	µ+α)(µ+α1+α2)(µ+θ1+θ2	NOUN
ejpam-3727	71	59	)	)	PUNCT
ejpam-3727	71	60	α2	α2	PROPN
ejpam-3727	71	61	(	(	PUNCT
ejpam-3727	71	62	µ+α1+α2)(µ+θ1+θ2	µ+α1+α2)(µ+θ1+θ2	PROPN
ejpam-3727	71	63	)	)	PUNCT
ejpam-3727	71	64	0	0	NUM
ejpam-3727	71	65	1	1	NUM
ejpam-3727	71	66	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	71	67	0	0	NUM
ejpam-3727	71	68	αα2θ2	αα2θ2	PROPN
ejpam-3727	71	69	(	(	PUNCT
ejpam-3727	71	70	µ+α)(µ+α1+α2)(µ+θ1+θ2)(µ+µ1+θd	µ+α)(µ+α1+α2)(µ+θ1+θ2)(µ+µ1+θd	NOUN
ejpam-3727	71	71	)	)	PUNCT
ejpam-3727	71	72	α2θ2	α2θ2	NOUN
ejpam-3727	71	73	(	(	PUNCT
ejpam-3727	71	74	µ+α1+α2)(µ+θ1+θ2)(µ+µ1+θd	µ+α1+α2)(µ+θ1+θ2)(µ+µ1+θd	X
ejpam-3727	71	75	)	)	PUNCT
ejpam-3727	71	76	0	0	PUNCT
ejpam-3727	72	1	θ2	θ2	PROPN
ejpam-3727	72	2	(	(	PUNCT
ejpam-3727	72	3	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	72	4	)	)	PUNCT
ejpam-3727	72	5	1	1	NUM
ejpam-3727	72	6	µ+µ1+θd	µ+µ1+θd	PROPN
ejpam-3727	72	7			NOUN
ejpam-3727	72	8	.	.	PUNCT
ejpam-3727	73	1	(	(	PUNCT
ejpam-3727	73	2	7	7	X
ejpam-3727	73	3	)	)	PUNCT
ejpam-3727	73	4	therefore	therefore	ADV
ejpam-3727	73	5	fv−1	fv−1	ADJ
ejpam-3727	73	6	=	=	PUNCT
ejpam-3727	73	7			NOUN
ejpam-3727	73	8	k	k	PROPN
ejpam-3727	73	9	l	l	PROPN
ejpam-3727	73	10	m	m	VERB
ejpam-3727	73	11	n	n	ADV
ejpam-3727	73	12	p	p	NOUN
ejpam-3727	73	13	0	0	NUM
ejpam-3727	73	14	0	0	NUM
ejpam-3727	73	15	0	0	NUM
ejpam-3727	73	16	0	0	NUM
ejpam-3727	73	17	0	0	NUM
ejpam-3727	73	18	0	0	NUM
ejpam-3727	73	19	0	0	NUM
ejpam-3727	73	20	0	0	NUM
ejpam-3727	73	21	0	0	NUM
ejpam-3727	73	22	0	0	NUM
ejpam-3727	73	23	0	0	NUM
ejpam-3727	73	24	0	0	NUM
ejpam-3727	73	25	0	0	NUM
ejpam-3727	73	26	0	0	NUM
ejpam-3727	73	27	0	0	NUM
ejpam-3727	73	28	0	0	NUM
ejpam-3727	73	29	0	0	NUM
ejpam-3727	73	30	0	0	NUM
ejpam-3727	73	31	0	0	NUM
ejpam-3727	73	32	0	0	NUM
ejpam-3727	73	33			NOUN
ejpam-3727	73	34	(	(	PUNCT
ejpam-3727	73	35	8)	8)	NUM
ejpam-3727	73	36	where	where	SCONJ
ejpam-3727	73	37	:	:	PUNCT
ejpam-3727	73	38	k	k	X
ejpam-3727	73	39	=	=	PUNCT
ejpam-3727	73	40	β	β	X
ejpam-3727	73	41	(	(	PUNCT
ejpam-3727	73	42	α	α	PROPN
ejpam-3727	73	43	(	(	PUNCT
ejpam-3727	73	44	µ+	µ+	X
ejpam-3727	73	45	α)(µ+	α)(µ+	X
ejpam-3727	73	46	α1	α1	PROPN
ejpam-3727	73	47	+	+	CCONJ
ejpam-3727	73	48	α2	α2	ADJ
ejpam-3727	73	49	)	)	PUNCT
ejpam-3727	74	1	+	+	CCONJ
ejpam-3727	74	2	αα1	αα1	INTJ
ejpam-3727	74	3	(	(	PUNCT
ejpam-3727	74	4	µ+	µ+	X
ejpam-3727	74	5	α)(µ+	α)(µ+	NUM
ejpam-3727	74	6	α1	α1	PROPN
ejpam-3727	74	7	+	+	CCONJ
ejpam-3727	74	8	α2)(µ+	α2)(µ+	PROPN
ejpam-3727	74	9	γ	γ	PROPN
ejpam-3727	74	10	)	)	PUNCT
ejpam-3727	74	11	+	+	NUM
ejpam-3727	74	12	αα2	αα2	NOUN
ejpam-3727	74	13	(	(	PUNCT
ejpam-3727	74	14	µ+	µ+	X
ejpam-3727	74	15	α)(µ+	α)(µ+	NUM
ejpam-3727	74	16	α1	α1	PROPN
ejpam-3727	74	17	+	+	CCONJ
ejpam-3727	74	18	α2)(µ+	α2)(µ+	NOUN
ejpam-3727	74	19	θ1	θ1	PROPN
ejpam-3727	74	20	+	+	CCONJ
ejpam-3727	74	21	θ2	θ2	PROPN
ejpam-3727	74	22	)	)	PUNCT
ejpam-3727	74	23	)	)	PUNCT
ejpam-3727	75	1	+	+	CCONJ
ejpam-3727	75	2	β	β	X
ejpam-3727	75	3	(	(	PUNCT
ejpam-3727	75	4	αα2θ2	αα2θ2	PROPN
ejpam-3727	75	5	(	(	PUNCT
ejpam-3727	75	6	µ+	µ+	X
ejpam-3727	75	7	α)(µ+	α)(µ+	NUM
ejpam-3727	75	8	α1	α1	PROPN
ejpam-3727	75	9	+	+	CCONJ
ejpam-3727	75	10	α2)(µ+	α2)(µ+	NOUN
ejpam-3727	75	11	θ1	θ1	NOUN
ejpam-3727	75	12	+	+	CCONJ
ejpam-3727	75	13	θ2)(µ+	θ2)(µ+	NOUN
ejpam-3727	75	14	µ1	µ1	PROPN
ejpam-3727	75	15	+	+	X
ejpam-3727	75	16	θd	θd	NOUN
ejpam-3727	75	17	)	)	PUNCT
ejpam-3727	75	18	)	)	PUNCT
ejpam-3727	75	19	(	(	PUNCT
ejpam-3727	75	20	9	9	X
ejpam-3727	75	21	)	)	PUNCT
ejpam-3727	75	22	l	l	NOUN
ejpam-3727	75	23	=	=	PUNCT
ejpam-3727	75	24	β	β	X
ejpam-3727	75	25	(	(	PUNCT
ejpam-3727	75	26	1	1	NUM
ejpam-3727	75	27	µ+	µ+	DET
ejpam-3727	75	28	α1	α1	PROPN
ejpam-3727	75	29	+	+	CCONJ
ejpam-3727	75	30	α2	α2	ADJ
ejpam-3727	75	31	+	+	CCONJ
ejpam-3727	75	32	α1	α1	PROPN
ejpam-3727	75	33	(	(	PUNCT
ejpam-3727	75	34	µ+	µ+	X
ejpam-3727	75	35	α1	α1	PROPN
ejpam-3727	75	36	+	+	CCONJ
ejpam-3727	75	37	α2)(µ+	α2)(µ+	PROPN
ejpam-3727	75	38	γ	γ	PROPN
ejpam-3727	75	39	)	)	PUNCT
ejpam-3727	75	40	+	+	CCONJ
ejpam-3727	75	41	α2	α2	ADJ
ejpam-3727	75	42	(	(	PUNCT
ejpam-3727	75	43	µ+	µ+	PRON
ejpam-3727	75	44	α1	α1	PROPN
ejpam-3727	75	45	+	+	CCONJ
ejpam-3727	75	46	α2)(µ+	α2)(µ+	NOUN
ejpam-3727	75	47	θ1	θ1	PROPN
ejpam-3727	75	48	+	+	CCONJ
ejpam-3727	75	49	θ2	θ2	PROPN
ejpam-3727	75	50	)	)	PUNCT
ejpam-3727	75	51	)	)	PUNCT
ejpam-3727	76	1	+	+	CCONJ
ejpam-3727	76	2	β	β	X
ejpam-3727	76	3	(	(	PUNCT
ejpam-3727	76	4	α2θ2	α2θ2	NOUN
ejpam-3727	76	5	(	(	PUNCT
ejpam-3727	76	6	µ+	µ+	X
ejpam-3727	76	7	α1	α1	PROPN
ejpam-3727	76	8	+	+	CCONJ
ejpam-3727	76	9	α2)(µ+	α2)(µ+	NOUN
ejpam-3727	76	10	θ1	θ1	NOUN
ejpam-3727	76	11	+	+	CCONJ
ejpam-3727	76	12	θ2)(µ+	θ2)(µ+	NOUN
ejpam-3727	76	13	µ1	µ1	PROPN
ejpam-3727	76	14	+	+	X
ejpam-3727	76	15	θd	θd	NOUN
ejpam-3727	76	16	)	)	PUNCT
ejpam-3727	76	17	)	)	PUNCT
ejpam-3727	76	18	(	(	PUNCT
ejpam-3727	76	19	10	10	NUM
ejpam-3727	76	20	)	)	PUNCT
ejpam-3727	76	21	m	m	PROPN
ejpam-3727	76	22	=	=	SYM
ejpam-3727	76	23	β	β	X
ejpam-3727	76	24	(	(	PUNCT
ejpam-3727	76	25	1	1	NUM
ejpam-3727	76	26	µ+	µ+	X
ejpam-3727	76	27	γ	γ	NOUN
ejpam-3727	76	28	)	)	PUNCT
ejpam-3727	76	29	(	(	PUNCT
ejpam-3727	76	30	11	11	NUM
ejpam-3727	76	31	)	)	PUNCT
ejpam-3727	76	32	n	n	NOUN
ejpam-3727	76	33	=	=	SYM
ejpam-3727	76	34	β	β	X
ejpam-3727	76	35	(	(	PUNCT
ejpam-3727	76	36	1	1	NUM
ejpam-3727	76	37	µ+	µ+	DET
ejpam-3727	76	38	θ1	θ1	NOUN
ejpam-3727	76	39	+	+	CCONJ
ejpam-3727	76	40	θ2	θ2	PROPN
ejpam-3727	76	41	+	+	CCONJ
ejpam-3727	76	42	θ2	θ2	PROPN
ejpam-3727	76	43	(	(	PUNCT
ejpam-3727	76	44	µ+	µ+	X
ejpam-3727	76	45	θ1	θ1	NOUN
ejpam-3727	76	46	+	+	CCONJ
ejpam-3727	76	47	θ2)(µ+	θ2)(µ+	NOUN
ejpam-3727	76	48	µ1	µ1	PROPN
ejpam-3727	76	49	+	+	X
ejpam-3727	76	50	θd	θd	NOUN
ejpam-3727	76	51	)	)	PUNCT
ejpam-3727	76	52	)	)	PUNCT
ejpam-3727	76	53	(	(	PUNCT
ejpam-3727	76	54	12	12	X
ejpam-3727	76	55	)	)	PUNCT
ejpam-3727	76	56	p	p	NOUN
ejpam-3727	76	57	=	=	PUNCT
ejpam-3727	76	58	β	β	X
ejpam-3727	76	59	(	(	PUNCT
ejpam-3727	76	60	1	1	NUM
ejpam-3727	76	61	µ+	µ+	PRON
ejpam-3727	76	62	µ1	µ1	NOUN
ejpam-3727	76	63	+	+	X
ejpam-3727	76	64	θd	θd	PROPN
ejpam-3727	76	65	)	)	PUNCT
ejpam-3727	76	66	.	.	PUNCT
ejpam-3727	77	1	(	(	PUNCT
ejpam-3727	77	2	13	13	NUM
ejpam-3727	77	3	)	)	PUNCT
ejpam-3727	77	4	a	a	DET
ejpam-3727	77	5	spectral	spectral	ADJ
ejpam-3727	77	6	radius	radius	NOUN
ejpam-3727	77	7	of	of	ADP
ejpam-3727	77	8	fv−1	fv−1	PROPN
ejpam-3727	77	9	give	give	VERB
ejpam-3727	77	10	us	we	PRON
ejpam-3727	77	11	the	the	DET
ejpam-3727	77	12	expression	expression	NOUN
ejpam-3727	77	13	of	of	ADP
ejpam-3727	77	14	r0	r0	NOUN
ejpam-3727	77	15	.	.	PUNCT
ejpam-3727	78	1	it	it	PRON
ejpam-3727	78	2	follow	follow	VERB
ejpam-3727	78	3	that	that	SCONJ
ejpam-3727	78	4	the	the	DET
ejpam-3727	78	5	basic	basic	ADJ
ejpam-3727	78	6	reproductive	reproductive	ADJ
ejpam-3727	78	7	number	number	NOUN
ejpam-3727	78	8	is	be	AUX
ejpam-3727	78	9	given	give	VERB
ejpam-3727	78	10	by	by	ADP
ejpam-3727	78	11	:	:	PUNCT
ejpam-3727	78	12	r0	r0	NOUN
ejpam-3727	78	13	=	=	SYM
ejpam-3727	78	14	βα	βα	X
ejpam-3727	78	15	(	(	PUNCT
ejpam-3727	78	16	µ+	µ+	X
ejpam-3727	78	17	α)(µ+	α)(µ+	X
ejpam-3727	78	18	α1	α1	PROPN
ejpam-3727	78	19	+	+	CCONJ
ejpam-3727	78	20	α2	α2	ADJ
ejpam-3727	78	21	)	)	PUNCT
ejpam-3727	78	22	[	[	PUNCT
ejpam-3727	78	23	1	1	NUM
ejpam-3727	78	24	+	+	NUM
ejpam-3727	78	25	α1	α1	PROPN
ejpam-3727	78	26	µ+	µ+	PUNCT
ejpam-3727	78	27	γ	γ	X
ejpam-3727	78	28	+	+	X
ejpam-3727	78	29	α2	α2	ADJ
ejpam-3727	78	30	µ+	µ+	PUNCT
ejpam-3727	78	31	θ1	θ1	NOUN
ejpam-3727	78	32	+	+	CCONJ
ejpam-3727	78	33	θ2	θ2	PROPN
ejpam-3727	78	34	+	+	CCONJ
ejpam-3727	78	35	α2θ2	α2θ2	NOUN
ejpam-3727	78	36	(	(	PUNCT
ejpam-3727	78	37	µ+	µ+	X
ejpam-3727	78	38	θ1	θ1	NOUN
ejpam-3727	78	39	+	+	CCONJ
ejpam-3727	78	40	θ2)(µ+	θ2)(µ+	NOUN
ejpam-3727	78	41	µ1	µ1	PROPN
ejpam-3727	78	42	+	+	X
ejpam-3727	78	43	θd	θd	NOUN
ejpam-3727	78	44	)	)	PUNCT
ejpam-3727	78	45	]	]	PUNCT
ejpam-3727	78	46	.(14	.(14	PUNCT
ejpam-3727	78	47	)	)	PUNCT
ejpam-3727	78	48	a.	a.	NOUN
ejpam-3727	78	49	m.	m.	PROPN
ejpam-3727	78	50	oumarou	oumarou	PROPN
ejpam-3727	78	51	,	,	PUNCT
ejpam-3727	78	52	s.	s.	PROPN
ejpam-3727	78	53	bisso	bisso	PROPN
ejpam-3727	78	54	/	/	SYM
ejpam-3727	78	55	eur	eur	PROPN
ejpam-3727	78	56	.	.	PUNCT
ejpam-3727	79	1	j.	j.	PROPN
ejpam-3727	79	2	pure	pure	PROPN
ejpam-3727	79	3	appl	appl	PROPN
ejpam-3727	79	4	.	.	PROPN
ejpam-3727	79	5	math	math	PROPN
ejpam-3727	79	6	,	,	PUNCT
ejpam-3727	79	7	13	13	NUM
ejpam-3727	79	8	(	(	PUNCT
ejpam-3727	79	9	3	3	NUM
ejpam-3727	79	10	)	)	PUNCT
ejpam-3727	79	11	(	(	PUNCT
ejpam-3727	79	12	2020	2020	NUM
ejpam-3727	79	13	)	)	PUNCT
ejpam-3727	79	14	,	,	PUNCT
ejpam-3727	79	15	549	549	NUM
ejpam-3727	79	16	-	-	SYM
ejpam-3727	79	17	566	566	NUM
ejpam-3727	79	18	554	554	NUM
ejpam-3727	79	19	4	4	NUM
ejpam-3727	79	20	.	.	PUNCT
ejpam-3727	80	1	stability	stability	NOUN
ejpam-3727	80	2	analysis	analysis	NOUN
ejpam-3727	80	3	of	of	ADP
ejpam-3727	80	4	disease	disease	NOUN
ejpam-3727	80	5	free	free	ADJ
ejpam-3727	80	6	equilibrium	equilibrium	NOUN
ejpam-3727	80	7	theorem	theorem	VERB
ejpam-3727	80	8	1	1	NUM
ejpam-3727	80	9	.	.	PUNCT
ejpam-3727	81	1	the	the	DET
ejpam-3727	81	2	disease	disease	NOUN
ejpam-3727	81	3	free	free	ADJ
ejpam-3727	81	4	equilibrium	equilibrium	NOUN
ejpam-3727	81	5	is	be	AUX
ejpam-3727	81	6	asymptotically	asymptotically	ADV
ejpam-3727	81	7	stable	stable	ADJ
ejpam-3727	81	8	if	if	SCONJ
ejpam-3727	81	9	r0	r0	NOUN
ejpam-3727	81	10	<	<	X
ejpam-3727	81	11	1	1	NUM
ejpam-3727	81	12	and	and	CCONJ
ejpam-3727	81	13	unstable	unstable	ADJ
ejpam-3727	81	14	if	if	SCONJ
ejpam-3727	81	15	r0	r0	NOUN
ejpam-3727	81	16	>	>	X
ejpam-3727	81	17	1	1	X
ejpam-3727	81	18	.	.	PUNCT
ejpam-3727	82	1	proof	proof	NOUN
ejpam-3727	82	2	.	.	PUNCT
ejpam-3727	83	1	we	we	PRON
ejpam-3727	83	2	use	use	VERB
ejpam-3727	83	3	the	the	DET
ejpam-3727	83	4	jacobian	jacobian	ADJ
ejpam-3727	83	5	matrix	matrix	NOUN
ejpam-3727	83	6	of	of	ADP
ejpam-3727	83	7	system	system	NOUN
ejpam-3727	83	8	(	(	PUNCT
ejpam-3727	83	9	1	1	NUM
ejpam-3727	83	10	)	)	PUNCT
ejpam-3727	83	11	at	at	ADP
ejpam-3727	83	12	disease	disease	NOUN
ejpam-3727	83	13	free	free	ADJ
ejpam-3727	83	14	equilibrium	equilibrium	NOUN
ejpam-3727	83	15	(	(	PUNCT
ejpam-3727	83	16	dfe	dfe	PROPN
ejpam-3727	83	17	)	)	PUNCT
ejpam-3727	83	18	to	to	PART
ejpam-3727	83	19	determine	determine	VERB
ejpam-3727	83	20	the	the	DET
ejpam-3727	83	21	stability	stability	NOUN
ejpam-3727	83	22	.	.	PUNCT
ejpam-3727	84	1	the	the	DET
ejpam-3727	84	2	jacobian	jacobian	ADJ
ejpam-3727	84	3	matrix	matrix	NOUN
ejpam-3727	84	4	of	of	ADP
ejpam-3727	84	5	the	the	DET
ejpam-3727	84	6	system	system	NOUN
ejpam-3727	84	7	is	be	AUX
ejpam-3727	84	8	given	give	VERB
ejpam-3727	84	9	by	by	ADP
ejpam-3727	84	10	:	:	PUNCT
ejpam-3727	84	11	j(s	j(s	PROPN
ejpam-3727	84	12	,	,	PUNCT
ejpam-3727	84	13	e	e	NOUN
ejpam-3727	84	14	,	,	PUNCT
ejpam-3727	84	15	i	i	PRON
ejpam-3727	84	16	,	,	PUNCT
ejpam-3727	84	17	ia	ia	PROPN
ejpam-3727	84	18	,	,	PUNCT
ejpam-3727	84	19	is	be	AUX
ejpam-3727	84	20	,	,	PUNCT
ejpam-3727	84	21	id	id	ADJ
ejpam-3727	84	22	)	)	PUNCT
ejpam-3727	84	23	=	=	SYM
ejpam-3727	84	24			PROPN
ejpam-3727	84	25	−µ−β(i+ia+is+id	−µ−β(i+ia+is+id	NUM
ejpam-3727	84	26	)	)	PUNCT
ejpam-3727	84	27	0	0	NUM
ejpam-3727	85	1	−βs	−βs	INTJ
ejpam-3727	86	1	−βs	−βs	INTJ
ejpam-3727	87	1	−βs	−βs	INTJ
ejpam-3727	88	1	−βs	−βs	NOUN
ejpam-3727	88	2	β(i+ia+is+id	β(i+ia+is+id	NOUN
ejpam-3727	88	3	)	)	PUNCT
ejpam-3727	89	1	−µ−α	−µ−α	PROPN
ejpam-3727	89	2	βs	βs	PRON
ejpam-3727	90	1	βs	βs	NOUN
ejpam-3727	90	2	βs	βs	ADV
ejpam-3727	91	1	βs	βs	ADV
ejpam-3727	91	2	0	0	NUM
ejpam-3727	92	1	α	α	NOUN
ejpam-3727	92	2	−µ−α1−α2	−µ−α1−α2	PROPN
ejpam-3727	92	3	0	0	NUM
ejpam-3727	92	4	0	0	NUM
ejpam-3727	92	5	0	0	NUM
ejpam-3727	92	6	0	0	NUM
ejpam-3727	92	7	0	0	NUM
ejpam-3727	92	8	α1	α1	PROPN
ejpam-3727	92	9	−µ−γ	−µ−γ	ADV
ejpam-3727	92	10	0	0	NUM
ejpam-3727	92	11	0	0	NUM
ejpam-3727	92	12	0	0	NUM
ejpam-3727	92	13	0	0	NUM
ejpam-3727	92	14	α2	α2	ADJ
ejpam-3727	92	15	0	0	NUM
ejpam-3727	92	16	−µ−θ1−θ2	−µ−θ1−θ2	PROPN
ejpam-3727	92	17	0	0	NUM
ejpam-3727	92	18	0	0	NUM
ejpam-3727	92	19	0	0	NUM
ejpam-3727	92	20	0	0	NUM
ejpam-3727	92	21	0	0	NUM
ejpam-3727	92	22	θ2	θ2	ADP
ejpam-3727	92	23	−µ−µ1−θd	−µ−µ1−θd	NUM
ejpam-3727	92	24			NOUN
ejpam-3727	92	25	.	.	PUNCT
ejpam-3727	93	1	(	(	PUNCT
ejpam-3727	93	2	15	15	X
ejpam-3727	93	3	)	)	PUNCT
ejpam-3727	93	4	we	we	PRON
ejpam-3727	93	5	obtain	obtain	VERB
ejpam-3727	93	6	at	at	ADP
ejpam-3727	93	7	dfe	dfe	PROPN
ejpam-3727	93	8	:	:	PUNCT
ejpam-3727	93	9	j(1,0,0,0,0,0	j(1,0,0,0,0,0	NOUN
ejpam-3727	93	10	)	)	PUNCT
ejpam-3727	93	11	=	=	PUNCT
ejpam-3727	94	1			NOUN
ejpam-3727	94	2	−µ	−µ	NOUN
ejpam-3727	94	3	0	0	NUM
ejpam-3727	95	1	−β	−β	PROPN
ejpam-3727	95	2	−β	−β	PROPN
ejpam-3727	95	3	−β	−β	PROPN
ejpam-3727	95	4	−β	−β	PROPN
ejpam-3727	95	5	0	0	NUM
ejpam-3727	95	6	−µ−	−µ−	NOUN
ejpam-3727	95	7	α	α	X
ejpam-3727	95	8	β	β	X
ejpam-3727	95	9	β	β	X
ejpam-3727	95	10	β	β	X
ejpam-3727	95	11	β	β	X
ejpam-3727	95	12	0	0	PUNCT
ejpam-3727	95	13	α	α	PRON
ejpam-3727	95	14	−µ−	−µ−	NOUN
ejpam-3727	95	15	α1	α1	PROPN
ejpam-3727	95	16	−	−	PROPN
ejpam-3727	95	17	α2	α2	PROPN
ejpam-3727	95	18	0	0	NUM
ejpam-3727	95	19	0	0	NUM
ejpam-3727	95	20	0	0	NUM
ejpam-3727	95	21	0	0	NUM
ejpam-3727	95	22	0	0	NUM
ejpam-3727	96	1	α1	α1	PROPN
ejpam-3727	96	2	−µ−	−µ−	NOUN
ejpam-3727	96	3	γ	γ	X
ejpam-3727	96	4	0	0	NUM
ejpam-3727	96	5	0	0	NUM
ejpam-3727	96	6	0	0	SYM
ejpam-3727	96	7	0	0	NUM
ejpam-3727	96	8	α2	α2	ADJ
ejpam-3727	96	9	0	0	NUM
ejpam-3727	96	10	−µ−	−µ−	NOUN
ejpam-3727	96	11	θ1	θ1	NOUN
ejpam-3727	96	12	−	−	PROPN
ejpam-3727	96	13	θ2	θ2	PROPN
ejpam-3727	96	14	0	0	NUM
ejpam-3727	96	15	0	0	NUM
ejpam-3727	96	16	0	0	NUM
ejpam-3727	96	17	0	0	NUM
ejpam-3727	96	18	0	0	NUM
ejpam-3727	96	19	θ2	θ2	PROPN
ejpam-3727	96	20	−µ−	−µ−	NOUN
ejpam-3727	96	21	µ1	µ1	PROPN
ejpam-3727	96	22	−	−	PROPN
ejpam-3727	96	23	θd	θd	NOUN
ejpam-3727	96	24			PROPN
ejpam-3727	96	25	.	.	PUNCT
ejpam-3727	97	1	(	(	PUNCT
ejpam-3727	97	2	16	16	NUM
ejpam-3727	97	3	)	)	PUNCT
ejpam-3727	97	4	the	the	DET
ejpam-3727	97	5	characteristic	characteristic	ADJ
ejpam-3727	97	6	polynomial	polynomial	NOUN
ejpam-3727	97	7	of	of	ADP
ejpam-3727	97	8	(	(	PUNCT
ejpam-3727	97	9	16	16	NUM
ejpam-3727	97	10	)	)	PUNCT
ejpam-3727	97	11	is	be	AUX
ejpam-3727	97	12	:	:	PUNCT
ejpam-3727	97	13	pλ	pλ	PROPN
ejpam-3727	97	14	=	=	SYM
ejpam-3727	97	15	(	(	PUNCT
ejpam-3727	97	16	µ+	µ+	X
ejpam-3727	97	17	λ)(λ5	λ)(λ5	NOUN
ejpam-3727	97	18	+	+	CCONJ
ejpam-3727	97	19	a1λ	a1λ	PROPN
ejpam-3727	97	20	4	4	NUM
ejpam-3727	97	21	+	+	NUM
ejpam-3727	97	22	a2λ	a2λ	NOUN
ejpam-3727	97	23	3	3	NUM
ejpam-3727	97	24	+	+	CCONJ
ejpam-3727	97	25	a3λ	a3λ	NOUN
ejpam-3727	97	26	2	2	NUM
ejpam-3727	97	27	+	+	NUM
ejpam-3727	97	28	a4λ+	a4λ+	NOUN
ejpam-3727	97	29	a5	a5	PROPN
ejpam-3727	97	30	)	)	PUNCT
ejpam-3727	97	31	,	,	PUNCT
ejpam-3727	97	32	(	(	PUNCT
ejpam-3727	97	33	17	17	NUM
ejpam-3727	97	34	)	)	PUNCT
ejpam-3727	97	35	with	with	ADP
ejpam-3727	97	36	:	:	PUNCT
ejpam-3727	97	37	a1	a1	NOUN
ejpam-3727	97	38	=	=	SYM
ejpam-3727	97	39	5µ+	5µ+	NUM
ejpam-3727	97	40	µ1	µ1	NOUN
ejpam-3727	97	41	+	+	CCONJ
ejpam-3727	97	42	α+	α+	DET
ejpam-3727	97	43	α1	α1	PROPN
ejpam-3727	97	44	+	+	CCONJ
ejpam-3727	97	45	α2	α2	ADJ
ejpam-3727	97	46	+	+	CCONJ
ejpam-3727	97	47	γ	γ	PROPN
ejpam-3727	97	48	+	+	CCONJ
ejpam-3727	97	49	θ1	θ1	NOUN
ejpam-3727	97	50	+	+	CCONJ
ejpam-3727	97	51	θ2	θ2	PROPN
ejpam-3727	97	52	+	+	CCONJ
ejpam-3727	97	53	θd	θd	VERB
ejpam-3727	97	54	>	>	X
ejpam-3727	97	55	0	0	NUM
ejpam-3727	97	56	,	,	PUNCT
ejpam-3727	97	57	(	(	PUNCT
ejpam-3727	97	58	18	18	NUM
ejpam-3727	97	59	)	)	PUNCT
ejpam-3727	97	60	a2	a2	PROPN
ejpam-3727	97	61	=	=	PUNCT
ejpam-3727	97	62	(	(	PUNCT
ejpam-3727	97	63	µ+α)(µ+α1	µ+α)(µ+α1	X
ejpam-3727	97	64	+	+	ADV
ejpam-3727	97	65	α2	α2	ADJ
ejpam-3727	97	66	)	)	PUNCT
ejpam-3727	98	1	+	+	CCONJ
ejpam-3727	98	2	(	(	PUNCT
ejpam-3727	98	3	2µ+α+α1	2µ+α+α1	NUM
ejpam-3727	98	4	+	+	NOUN
ejpam-3727	98	5	α2)(2µ+	α2)(2µ+	NUM
ejpam-3727	98	6	γ	γ	NOUN
ejpam-3727	98	7	+	+	CCONJ
ejpam-3727	98	8	θ1	θ1	NOUN
ejpam-3727	98	9	+	+	CCONJ
ejpam-3727	98	10	θ2	θ2	PROPN
ejpam-3727	98	11	)	)	PUNCT
ejpam-3727	99	1	+	+	CCONJ
ejpam-3727	99	2	(	(	PUNCT
ejpam-3727	99	3	2µ+α+α1	2µ+α+α1	NUM
ejpam-3727	99	4	+	+	NOUN
ejpam-3727	99	5	α2)×	α2)×	NOUN
ejpam-3727	99	6	(	(	PUNCT
ejpam-3727	99	7	µ+	µ+	X
ejpam-3727	99	8	µ1	µ1	NOUN
ejpam-3727	99	9	+	+	CCONJ
ejpam-3727	99	10	θd	θd	NOUN
ejpam-3727	99	11	)	)	PUNCT
ejpam-3727	99	12	+	+	CCONJ
ejpam-3727	99	13	(	(	PUNCT
ejpam-3727	99	14	µ+	µ+	X
ejpam-3727	99	15	γ)(µ+	γ)(µ+	NOUN
ejpam-3727	99	16	θ1	θ1	PROPN
ejpam-3727	99	17	+	+	CCONJ
ejpam-3727	99	18	θ2	θ2	PROPN
ejpam-3727	99	19	)	)	PUNCT
ejpam-3727	99	20	+	+	CCONJ
ejpam-3727	100	1	(	(	PUNCT
ejpam-3727	100	2	2µ+	2µ+	NUM
ejpam-3727	100	3	γ	γ	PROPN
ejpam-3727	100	4	+	+	CCONJ
ejpam-3727	100	5	θ1	θ1	NOUN
ejpam-3727	100	6	+	+	CCONJ
ejpam-3727	100	7	θ2)(µ+	θ2)(µ+	NOUN
ejpam-3727	100	8	µ1	µ1	PROPN
ejpam-3727	100	9	+	+	X
ejpam-3727	100	10	θd	θd	NOUN
ejpam-3727	100	11	)	)	PUNCT
ejpam-3727	100	12	+	+	CCONJ
ejpam-3727	101	1	αβ	αβ	INTJ
ejpam-3727	101	2	>	>	SYM
ejpam-3727	101	3	0	0	PUNCT
ejpam-3727	102	1	(	(	PUNCT
ejpam-3727	102	2	19	19	NUM
ejpam-3727	102	3	)	)	PUNCT
ejpam-3727	102	4	a3	a3	NOUN
ejpam-3727	102	5	=	=	SYM
ejpam-3727	102	6	(	(	PUNCT
ejpam-3727	102	7	µ+α)(µ+α1	µ+α)(µ+α1	VERB
ejpam-3727	102	8	+	+	ADV
ejpam-3727	102	9	α2)(2µ+γ+θ1	α2)(2µ+γ+θ1	PROPN
ejpam-3727	102	10	+	+	ADJ
ejpam-3727	102	11	θ2)+(µ+α)(µ+α1	θ2)+(µ+α)(µ+α1	PRON
ejpam-3727	102	12	+	+	NOUN
ejpam-3727	102	13	α2)(µ+µ1	α2)(µ+µ1	ADJ
ejpam-3727	102	14	+	+	NOUN
ejpam-3727	102	15	θd)+(µ+γ)×	θd)+(µ+γ)×	NOUN
ejpam-3727	102	16	(	(	PUNCT
ejpam-3727	102	17	µ+θ1	µ+θ1	PROPN
ejpam-3727	102	18	+	+	PROPN
ejpam-3727	102	19	θ2)(2µ+α+α1	θ2)(2µ+α+α1	PROPN
ejpam-3727	102	20	+	+	NUM
ejpam-3727	102	21	α2)+(2µ+α+α1	α2)+(2µ+α+α1	NOUN
ejpam-3727	102	22	+	+	NOUN
ejpam-3727	102	23	α2)(2µ+γ+θ1	α2)(2µ+γ+θ1	PROPN
ejpam-3727	102	24	+	+	ADJ
ejpam-3727	102	25	θ2)(µ+µ1	θ2)(µ+µ1	ADJ
ejpam-3727	102	26	+	+	ADJ
ejpam-3727	102	27	θd)+(µ+γ)×	θd)+(µ+γ)×	NOUN
ejpam-3727	102	28	(	(	PUNCT
ejpam-3727	102	29	µ+	µ+	X
ejpam-3727	102	30	θ1	θ1	NOUN
ejpam-3727	102	31	+	+	CCONJ
ejpam-3727	102	32	θ2)(µ+	θ2)(µ+	NOUN
ejpam-3727	102	33	µ1	µ1	PROPN
ejpam-3727	102	34	+	+	X
ejpam-3727	102	35	θd	θd	NOUN
ejpam-3727	102	36	)	)	PUNCT
ejpam-3727	102	37	+	+	NUM
ejpam-3727	102	38	αβ(3µ+	αβ(3µ+	X
ejpam-3727	103	1	µ1	µ1	PROPN
ejpam-3727	103	2	+	+	CCONJ
ejpam-3727	103	3	γ	γ	PROPN
ejpam-3727	103	4	+	+	CCONJ
ejpam-3727	103	5	θ1	θ1	NOUN
ejpam-3727	103	6	+	+	CCONJ
ejpam-3727	103	7	θ2	θ2	PROPN
ejpam-3727	103	8	+	+	CCONJ
ejpam-3727	103	9	θd	θd	VERB
ejpam-3727	103	10	−	−	PROPN
ejpam-3727	103	11	α1	α1	PROPN
ejpam-3727	103	12	−	−	PROPN
ejpam-3727	103	13	1	1	NUM
ejpam-3727	103	14	)	)	PUNCT
ejpam-3727	103	15	>	>	X
ejpam-3727	103	16	0	0	PUNCT
ejpam-3727	104	1	(	(	PUNCT
ejpam-3727	104	2	20	20	NUM
ejpam-3727	104	3	)	)	PUNCT
ejpam-3727	104	4	a4	a4	NOUN
ejpam-3727	104	5	=	=	SYM
ejpam-3727	104	6	(	(	PUNCT
ejpam-3727	104	7	µ+	µ+	X
ejpam-3727	104	8	α)(µ+	α)(µ+	NUM
ejpam-3727	104	9	α1	α1	PROPN
ejpam-3727	104	10	+	+	CCONJ
ejpam-3727	104	11	α2)(µ+	α2)(µ+	NOUN
ejpam-3727	104	12	γ)(µ+	γ)(µ+	X
ejpam-3727	104	13	θ1	θ1	PROPN
ejpam-3727	104	14	+	+	CCONJ
ejpam-3727	104	15	θ2	θ2	PROPN
ejpam-3727	104	16	)	)	PUNCT
ejpam-3727	104	17	+	+	CCONJ
ejpam-3727	104	18	(	(	PUNCT
ejpam-3727	104	19	µ+	µ+	X
ejpam-3727	104	20	α)(µ+	α)(µ+	NUM
ejpam-3727	104	21	α1	α1	PROPN
ejpam-3727	104	22	+	+	CCONJ
ejpam-3727	104	23	α2)(µ+	α2)(µ+	PROPN
ejpam-3727	104	24	µ1	µ1	NOUN
ejpam-3727	104	25	+	+	CCONJ
ejpam-3727	104	26	θd)×	θd)×	X
ejpam-3727	104	27	(	(	PUNCT
ejpam-3727	104	28	2µ+γ+θ1+θ2)+(µ+γ)(µ+θ1+θ2)(µ+µ1+θd)(2µ+α+α1+α2)+αβ(µ+θ1+θ2)(µ+µ1+θd	2µ+γ+θ1+θ2)+(µ+γ)(µ+θ1+θ2)(µ+µ1+θd)(2µ+α+α1+α2)+αβ(µ+θ1+θ2)(µ+µ1+θd	NUM
ejpam-3727	104	29	)	)	PUNCT
ejpam-3727	105	1	+	+	NUM
ejpam-3727	105	2	αβ(2µ+	αβ(2µ+	NOUN
ejpam-3727	105	3	µ1	µ1	NOUN
ejpam-3727	105	4	+	+	CCONJ
ejpam-3727	105	5	θ1	θ1	NOUN
ejpam-3727	105	6	+	+	CCONJ
ejpam-3727	105	7	θ2	θ2	PROPN
ejpam-3727	105	8	+	+	CCONJ
ejpam-3727	105	9	θd)(µ+	θd)(µ+	PROPN
ejpam-3727	105	10	γ)−	γ)−	VERB
ejpam-3727	105	11	αβθ2α2	αβθ2α2	NOUN
ejpam-3727	105	12	−	−	PROPN
ejpam-3727	105	13	αβα1(2µ+	αβα1(2µ+	NOUN
ejpam-3727	105	14	µ1	µ1	NOUN
ejpam-3727	105	15	+	+	CCONJ
ejpam-3727	105	16	θ1	θ1	NOUN
ejpam-3727	105	17	+	+	CCONJ
ejpam-3727	105	18	θ2	θ2	PROPN
ejpam-3727	105	19	+	+	CCONJ
ejpam-3727	105	20	θd	θd	NOUN
ejpam-3727	105	21	)	)	PUNCT
ejpam-3727	105	22	−	−	NOUN
ejpam-3727	105	23	αβ(2µ+	αβ(2µ+	NOUN
ejpam-3727	106	1	µ1	µ1	NOUN
ejpam-3727	106	2	+	+	CCONJ
ejpam-3727	106	3	γ	γ	X
ejpam-3727	106	4	+	+	X
ejpam-3727	106	5	θd	θd	NOUN
ejpam-3727	106	6	)	)	PUNCT
ejpam-3727	106	7	>	>	X
ejpam-3727	106	8	0	0	PUNCT
ejpam-3727	107	1	(	(	PUNCT
ejpam-3727	107	2	21	21	NUM
ejpam-3727	107	3	)	)	PUNCT
ejpam-3727	107	4	a.	a.	NOUN
ejpam-3727	107	5	m.	m.	NOUN
ejpam-3727	107	6	oumarou	oumarou	PROPN
ejpam-3727	107	7	,	,	PUNCT
ejpam-3727	107	8	s.	s.	PROPN
ejpam-3727	107	9	bisso	bisso	PROPN
ejpam-3727	107	10	/	/	SYM
ejpam-3727	107	11	eur	eur	PROPN
ejpam-3727	107	12	.	.	PUNCT
ejpam-3727	108	1	j.	j.	PROPN
ejpam-3727	108	2	pure	pure	PROPN
ejpam-3727	108	3	appl	appl	PROPN
ejpam-3727	108	4	.	.	PROPN
ejpam-3727	108	5	math	math	PROPN
ejpam-3727	108	6	,	,	PUNCT
ejpam-3727	108	7	13	13	NUM
ejpam-3727	108	8	(	(	PUNCT
ejpam-3727	108	9	3	3	NUM
ejpam-3727	108	10	)	)	PUNCT
ejpam-3727	108	11	(	(	PUNCT
ejpam-3727	108	12	2020	2020	NUM
ejpam-3727	108	13	)	)	PUNCT
ejpam-3727	108	14	,	,	PUNCT
ejpam-3727	108	15	549	549	NUM
ejpam-3727	108	16	-	-	SYM
ejpam-3727	108	17	566	566	NUM
ejpam-3727	108	18	555	555	NUM
ejpam-3727	108	19	a5	a5	NOUN
ejpam-3727	108	20	=	=	PUNCT
ejpam-3727	108	21	(	(	PUNCT
ejpam-3727	108	22	µ+	µ+	X
ejpam-3727	108	23	α)(µ+	α)(µ+	NUM
ejpam-3727	108	24	α1	α1	PROPN
ejpam-3727	108	25	+	+	CCONJ
ejpam-3727	108	26	α2)(µ+	α2)(µ+	NOUN
ejpam-3727	108	27	γ)(µ+	γ)(µ+	X
ejpam-3727	108	28	θ1	θ1	PROPN
ejpam-3727	108	29	+	+	CCONJ
ejpam-3727	108	30	θ2)(µ+	θ2)(µ+	NOUN
ejpam-3727	108	31	µ1	µ1	PROPN
ejpam-3727	108	32	+	+	X
ejpam-3727	108	33	θd	θd	NOUN
ejpam-3727	108	34	)	)	PUNCT
ejpam-3727	108	35	+	+	CCONJ
ejpam-3727	108	36	αβ(µ+	αβ(µ+	NUM
ejpam-3727	108	37	γ)(µ+	γ)(µ+	NOUN
ejpam-3727	108	38	θ1	θ1	PROPN
ejpam-3727	108	39	+	+	CCONJ
ejpam-3727	108	40	θ2)×	θ2)×	X
ejpam-3727	108	41	(	(	PUNCT
ejpam-3727	108	42	µ+µ1+θd)−αβθ2α2(µ+γ)−αβα1(µ+θ1+θ2)(µ+µ1+θd)−αβ(µ+γ)(µ+µ1+θd	µ+µ1+θd)−αβθ2α2(µ+γ)−αβα1(µ+θ1+θ2)(µ+µ1+θd)−αβ(µ+γ)(µ+µ1+θd	NOUN
ejpam-3727	108	43	)	)	PUNCT
ejpam-3727	108	44	>	>	X
ejpam-3727	108	45	0	0	X
ejpam-3727	108	46	.	.	PUNCT
ejpam-3727	109	1	(	(	PUNCT
ejpam-3727	109	2	22	22	NUM
ejpam-3727	109	3	)	)	PUNCT
ejpam-3727	109	4	by	by	ADP
ejpam-3727	109	5	using	use	VERB
ejpam-3727	109	6	routh	routh	PROPN
ejpam-3727	109	7	hurwitz	hurwitz	PROPN
ejpam-3727	109	8	criterion	criterion	NOUN
ejpam-3727	109	9	we	we	PRON
ejpam-3727	109	10	get	get	VERB
ejpam-3727	109	11	:	:	PUNCT
ejpam-3727	109	12	λ1	λ1	ADJ
ejpam-3727	109	13	=	=	SYM
ejpam-3727	109	14	−µ	−µ	NOUN
ejpam-3727	109	15	<	<	X
ejpam-3727	109	16	0	0	X
ejpam-3727	109	17	.	.	PUNCT
ejpam-3727	109	18	h1	h1	PROPN
ejpam-3727	109	19	=	=	PUNCT
ejpam-3727	109	20	a1	a1	PROPN
ejpam-3727	109	21	>	>	X
ejpam-3727	109	22	0	0	NUM
ejpam-3727	109	23	h2	h2	NOUN
ejpam-3727	109	24	=	=	NOUN
ejpam-3727	109	25	a1	a1	NOUN
ejpam-3727	109	26	∗	∗	NOUN
ejpam-3727	109	27	a2	a2	PROPN
ejpam-3727	109	28	−	−	PROPN
ejpam-3727	109	29	a3	a3	PROPN
ejpam-3727	109	30	>	>	X
ejpam-3727	109	31	0	0	NUM
ejpam-3727	109	32	h3	h3	NOUN
ejpam-3727	109	33	=	=	PUNCT
ejpam-3727	109	34	a3(a1a2	a3(a1a2	PROPN
ejpam-3727	109	35	−	−	X
ejpam-3727	109	36	a3)−	a3)−	PROPN
ejpam-3727	109	37	a1(a1a4	a1(a1a4	PROPN
ejpam-3727	109	38	−	−	PROPN
ejpam-3727	109	39	a5	a5	PROPN
ejpam-3727	109	40	)	)	PUNCT
ejpam-3727	109	41	•	•	ADP
ejpam-3727	109	42	if	if	SCONJ
ejpam-3727	109	43	r0	r0	NOUN
ejpam-3727	109	44	<	<	NOUN
ejpam-3727	109	45	1	1	NUM
ejpam-3727	109	46	then	then	ADV
ejpam-3727	109	47	h3	h3	VERB
ejpam-3727	109	48	=	=	PUNCT
ejpam-3727	109	49	a3(a1a2	a3(a1a2	PRON
ejpam-3727	109	50	−	−	PROPN
ejpam-3727	109	51	a3	a3	NOUN
ejpam-3727	109	52	)	)	PUNCT
ejpam-3727	110	1	−	−	PROPN
ejpam-3727	111	1	a1(a1a4	a1(a1a4	PROPN
ejpam-3727	111	2	−	−	PROPN
ejpam-3727	111	3	a5	a5	PROPN
ejpam-3727	111	4	)	)	PUNCT
ejpam-3727	111	5	>	>	X
ejpam-3727	111	6	0	0	X
ejpam-3727	111	7	.	.	PUNCT
ejpam-3727	112	1	since	since	SCONJ
ejpam-3727	112	2	hi	hi	INTJ
ejpam-3727	112	3	>	>	X
ejpam-3727	112	4	0	0	PUNCT
ejpam-3727	113	1	for	for	ADP
ejpam-3727	113	2	i	i	PRON
ejpam-3727	113	3	=	=	NOUN
ejpam-3727	113	4	1	1	NUM
ejpam-3727	113	5	,	,	PUNCT
ejpam-3727	113	6	2	2	NUM
ejpam-3727	113	7	,	,	PUNCT
ejpam-3727	113	8	3	3	NUM
ejpam-3727	113	9	then	then	ADV
ejpam-3727	113	10	the	the	DET
ejpam-3727	113	11	eigen	eigen	PROPN
ejpam-3727	113	12	values	value	NOUN
ejpam-3727	113	13	of	of	ADP
ejpam-3727	113	14	the	the	DET
ejpam-3727	113	15	caracteristic	caracteristic	ADJ
ejpam-3727	113	16	polynomial	polynomial	NOUN
ejpam-3727	113	17	are	be	AUX
ejpam-3727	113	18	all	all	ADV
ejpam-3727	113	19	negative	negative	ADJ
ejpam-3727	113	20	,	,	PUNCT
ejpam-3727	113	21	which	which	PRON
ejpam-3727	113	22	mean	mean	VERB
ejpam-3727	113	23	that	that	SCONJ
ejpam-3727	113	24	the	the	DET
ejpam-3727	113	25	disease	disease	NOUN
ejpam-3727	113	26	free	free	ADJ
ejpam-3727	113	27	equilibrium	equilibrium	NOUN
ejpam-3727	113	28	is	be	AUX
ejpam-3727	113	29	asymptotically	asymptotically	ADV
ejpam-3727	113	30	stable	stable	ADJ
ejpam-3727	113	31	.	.	PUNCT
ejpam-3727	114	1	•	•	INTJ
ejpam-3727	114	2	if	if	SCONJ
ejpam-3727	114	3	r0	r0	NOUN
ejpam-3727	114	4	>	>	X
ejpam-3727	114	5	1	1	NUM
ejpam-3727	114	6	then	then	ADV
ejpam-3727	114	7	h3	h3	VERB
ejpam-3727	114	8	=	=	PUNCT
ejpam-3727	114	9	a3(a1a2	a3(a1a2	VERB
ejpam-3727	114	10	−	−	X
ejpam-3727	114	11	a3)−	a3)−	PROPN
ejpam-3727	114	12	a1(a1a4	a1(a1a4	PROPN
ejpam-3727	114	13	−	−	PROPN
ejpam-3727	114	14	a5	a5	PROPN
ejpam-3727	114	15	)	)	PUNCT
ejpam-3727	114	16	<	<	X
ejpam-3727	115	1	0	0	X
ejpam-3727	115	2	.	.	PUNCT
ejpam-3727	116	1	so	so	ADV
ejpam-3727	116	2	that	that	SCONJ
ejpam-3727	116	3	at	at	ADV
ejpam-3727	116	4	least	least	ADJ
ejpam-3727	116	5	one	one	NUM
ejpam-3727	116	6	of	of	ADP
ejpam-3727	116	7	the	the	DET
ejpam-3727	116	8	eigen	eigen	PROPN
ejpam-3727	116	9	values	value	NOUN
ejpam-3727	116	10	of	of	ADP
ejpam-3727	116	11	the	the	DET
ejpam-3727	116	12	caracteristic	caracteristic	ADJ
ejpam-3727	116	13	polynomial	polynomial	NOUN
ejpam-3727	116	14	is	be	AUX
ejpam-3727	116	15	positive	positive	ADJ
ejpam-3727	116	16	.	.	PUNCT
ejpam-3727	117	1	this	this	PRON
ejpam-3727	117	2	prove	prove	VERB
ejpam-3727	117	3	that	that	SCONJ
ejpam-3727	117	4	the	the	DET
ejpam-3727	117	5	disease	disease	NOUN
ejpam-3727	117	6	free	free	ADJ
ejpam-3727	117	7	equilibrium	equilibrium	NOUN
ejpam-3727	117	8	is	be	AUX
ejpam-3727	117	9	unstable	unstable	ADJ
ejpam-3727	117	10	.	.	PUNCT
ejpam-3727	118	1	5	5	X
ejpam-3727	118	2	.	.	X
ejpam-3727	118	3	stability	stability	NOUN
ejpam-3727	118	4	analysis	analysis	NOUN
ejpam-3727	118	5	of	of	ADP
ejpam-3727	118	6	endemic	endemic	ADJ
ejpam-3727	118	7	equilibrium	equilibrium	NOUN
ejpam-3727	118	8	theorem	theorem	NOUN
ejpam-3727	118	9	2	2	NUM
ejpam-3727	118	10	.	.	PUNCT
ejpam-3727	119	1	the	the	DET
ejpam-3727	119	2	system	system	NOUN
ejpam-3727	119	3	(	(	PUNCT
ejpam-3727	119	4	1	1	X
ejpam-3727	119	5	)	)	PUNCT
ejpam-3727	119	6	has	have	VERB
ejpam-3727	119	7	an	an	DET
ejpam-3727	119	8	unique	unique	ADJ
ejpam-3727	119	9	endemic	endemic	ADJ
ejpam-3727	119	10	equilibrium	equilibrium	NOUN
ejpam-3727	119	11	e∗	e∗	NOUN
ejpam-3727	119	12	if	if	SCONJ
ejpam-3727	119	13	r0	r0	NOUN
ejpam-3727	119	14	>	>	X
ejpam-3727	119	15	1	1	X
ejpam-3727	119	16	.	.	PUNCT
ejpam-3727	119	17	proof	proof	NOUN
ejpam-3727	119	18	.	.	PUNCT
ejpam-3727	120	1	the	the	DET
ejpam-3727	120	2	endemic	endemic	ADJ
ejpam-3727	120	3	equilibrium	equilibrium	NOUN
ejpam-3727	120	4	of	of	ADP
ejpam-3727	120	5	a	a	DET
ejpam-3727	120	6	model	model	NOUN
ejpam-3727	120	7	(	(	PUNCT
ejpam-3727	120	8	1	1	NUM
ejpam-3727	120	9	)	)	PUNCT
ejpam-3727	120	10	is	be	AUX
ejpam-3727	120	11	determined	determine	VERB
ejpam-3727	120	12	by	by	ADP
ejpam-3727	120	13	solving	solve	VERB
ejpam-3727	120	14	:	:	PUNCT
ejpam-3727	120	15			NUM
ejpam-3727	120	16	ds(t	ds(t	ADJ
ejpam-3727	120	17	)	)	PUNCT
ejpam-3727	120	18	dt	dt	PUNCT
ejpam-3727	121	1	=	=	SYM
ejpam-3727	121	2	0	0	NUM
ejpam-3727	121	3	de(t	de(t	NUM
ejpam-3727	121	4	)	)	PUNCT
ejpam-3727	121	5	dt	dt	NOUN
ejpam-3727	122	1	=	=	SYM
ejpam-3727	122	2	0	0	NUM
ejpam-3727	122	3	di(t	di(t	NUM
ejpam-3727	122	4	)	)	PUNCT
ejpam-3727	122	5	dt	dt	NOUN
ejpam-3727	123	1	=	=	SYM
ejpam-3727	123	2	0	0	NUM
ejpam-3727	123	3	dia(t	dia(t	NOUN
ejpam-3727	123	4	)	)	PUNCT
ejpam-3727	123	5	dt	dt	NOUN
ejpam-3727	124	1	=	=	SYM
ejpam-3727	124	2	0	0	NUM
ejpam-3727	124	3	dis(t	dis(t	PROPN
ejpam-3727	124	4	)	)	PUNCT
ejpam-3727	124	5	dt	dt	NOUN
ejpam-3727	125	1	=	=	SYM
ejpam-3727	125	2	0	0	NUM
ejpam-3727	126	1	did(t	did(t	NOUN
ejpam-3727	126	2	)	)	PUNCT
ejpam-3727	126	3	dt	dt	NOUN
ejpam-3727	127	1	=	=	NOUN
ejpam-3727	127	2	0	0	PROPN
ejpam-3727	127	3	.	.	PUNCT
ejpam-3727	128	1	(	(	PUNCT
ejpam-3727	128	2	23	23	NUM
ejpam-3727	128	3	)	)	PUNCT
ejpam-3727	128	4	so	so	SCONJ
ejpam-3727	128	5	we	we	PRON
ejpam-3727	128	6	obtain	obtain	VERB
ejpam-3727	128	7	an	an	DET
ejpam-3727	128	8	endemic	endemic	ADJ
ejpam-3727	128	9	equilibrium	equilibrium	NOUN
ejpam-3727	128	10	given	give	VERB
ejpam-3727	128	11	by	by	ADP
ejpam-3727	128	12	e∗	e∗	PROPN
ejpam-3727	128	13	=	=	SYM
ejpam-3727	128	14	(	(	PUNCT
ejpam-3727	128	15	s∗	s∗	PROPN
ejpam-3727	128	16	,	,	PUNCT
ejpam-3727	128	17	e∗	e∗	NOUN
ejpam-3727	128	18	,	,	PUNCT
ejpam-3727	128	19	i∗	i∗	NOUN
ejpam-3727	128	20	,	,	PUNCT
ejpam-3727	128	21	i∗a	i∗a	NUM
ejpam-3727	128	22	,	,	PUNCT
ejpam-3727	128	23	i	i	PRON
ejpam-3727	128	24	∗	∗	VERB
ejpam-3727	128	25	s	s	PROPN
ejpam-3727	128	26	,	,	PUNCT
ejpam-3727	128	27	i	i	PRON
ejpam-3727	128	28	∗	∗	X
ejpam-3727	128	29	d	d	NOUN
ejpam-3727	128	30	)	)	PUNCT
ejpam-3727	128	31	6=	6=	ADP
ejpam-3727	128	32	(	(	PUNCT
ejpam-3727	128	33	0	0	NUM
ejpam-3727	128	34	,	,	PUNCT
ejpam-3727	128	35	0	0	NUM
ejpam-3727	128	36	,	,	PUNCT
ejpam-3727	128	37	0	0	NUM
ejpam-3727	128	38	,	,	PUNCT
ejpam-3727	128	39	0	0	NUM
ejpam-3727	128	40	,	,	PUNCT
ejpam-3727	128	41	0	0	NUM
ejpam-3727	128	42	,	,	PUNCT
ejpam-3727	128	43	0	0	NUM
ejpam-3727	128	44	)	)	PUNCT
ejpam-3727	128	45	see	see	VERB
ejpam-3727	129	1	[	[	X
ejpam-3727	129	2	[	[	X
ejpam-3727	129	3	9],[2	9],[2	NUM
ejpam-3727	129	4	]	]	X
ejpam-3727	129	5	]	]	X
ejpam-3727	129	6	,	,	PUNCT
ejpam-3727	129	7	where	where	SCONJ
ejpam-3727	129	8	:	:	PUNCT
ejpam-3727	129	9	s∗	s∗	PROPN
ejpam-3727	129	10	=	=	SYM
ejpam-3727	129	11	1	1	NUM
ejpam-3727	129	12	r0	r0	NOUN
ejpam-3727	129	13	(	(	PUNCT
ejpam-3727	129	14	24	24	NUM
ejpam-3727	129	15	)	)	PUNCT
ejpam-3727	129	16	e∗	e∗	NOUN
ejpam-3727	129	17	=	=	SYM
ejpam-3727	129	18	µ+	µ+	PUNCT
ejpam-3727	129	19	α1	α1	PROPN
ejpam-3727	129	20	+	+	CCONJ
ejpam-3727	129	21	α2	α2	ADJ
ejpam-3727	129	22	α	α	PRON
ejpam-3727	129	23	×	×	PROPN
ejpam-3727	129	24	µ	µ	PRON
ejpam-3727	129	25	r0	r0	NOUN
ejpam-3727	129	26	ψ	ψ	NOUN
ejpam-3727	129	27	µ+ψ	µ+ψ	PUNCT
ejpam-3727	129	28	[	[	PUNCT
ejpam-3727	129	29	α1γ	α1γ	NUM
ejpam-3727	129	30	µ+γ	µ+γ	SYM
ejpam-3727	129	31	+	+	NUM
ejpam-3727	129	32	α2θ1	α2θ1	PROPN
ejpam-3727	129	33	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	129	34	+	+	X
ejpam-3727	129	35	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	129	36	(	(	PUNCT
ejpam-3727	129	37	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	129	38	)	)	PUNCT
ejpam-3727	129	39	]	]	PUNCT
ejpam-3727	129	40	−	−	PROPN
ejpam-3727	129	41	(	(	PUNCT
ejpam-3727	129	42	µ+α)(µ+α1+α2	µ+α)(µ+α1+α2	PROPN
ejpam-3727	129	43	)	)	PUNCT
ejpam-3727	129	44	α	α	PROPN
ejpam-3727	129	45	(	(	PUNCT
ejpam-3727	129	46	25	25	NUM
ejpam-3727	129	47	)	)	PUNCT
ejpam-3727	129	48	i∗	i∗	NOUN
ejpam-3727	129	49	=	=	SYM
ejpam-3727	129	50	µ	µ	X
ejpam-3727	129	51	r0	r0	NOUN
ejpam-3727	129	52	ψ	ψ	NOUN
ejpam-3727	129	53	µ+ψ	µ+ψ	PUNCT
ejpam-3727	129	54	[	[	PUNCT
ejpam-3727	129	55	α1γ	α1γ	NUM
ejpam-3727	129	56	µ+γ	µ+γ	SYM
ejpam-3727	129	57	+	+	NUM
ejpam-3727	129	58	α2θ1	α2θ1	PROPN
ejpam-3727	129	59	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	129	60	+	+	X
ejpam-3727	129	61	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	129	62	(	(	PUNCT
ejpam-3727	129	63	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	129	64	)	)	PUNCT
ejpam-3727	129	65	]	]	PUNCT
ejpam-3727	129	66	−	−	PROPN
ejpam-3727	129	67	(	(	PUNCT
ejpam-3727	129	68	µ+α)(µ+α1+α2	µ+α)(µ+α1+α2	PROPN
ejpam-3727	129	69	)	)	PUNCT
ejpam-3727	129	70	α	α	PROPN
ejpam-3727	129	71	(	(	PUNCT
ejpam-3727	129	72	26	26	NUM
ejpam-3727	129	73	)	)	PUNCT
ejpam-3727	129	74	a.	a.	NOUN
ejpam-3727	129	75	m.	m.	NOUN
ejpam-3727	129	76	oumarou	oumarou	PROPN
ejpam-3727	129	77	,	,	PUNCT
ejpam-3727	129	78	s.	s.	PROPN
ejpam-3727	129	79	bisso	bisso	PROPN
ejpam-3727	129	80	/	/	SYM
ejpam-3727	129	81	eur	eur	PROPN
ejpam-3727	129	82	.	.	PUNCT
ejpam-3727	130	1	j.	j.	PROPN
ejpam-3727	130	2	pure	pure	PROPN
ejpam-3727	130	3	appl	appl	PROPN
ejpam-3727	130	4	.	.	PROPN
ejpam-3727	130	5	math	math	PROPN
ejpam-3727	130	6	,	,	PUNCT
ejpam-3727	130	7	13	13	NUM
ejpam-3727	130	8	(	(	PUNCT
ejpam-3727	130	9	3	3	NUM
ejpam-3727	130	10	)	)	PUNCT
ejpam-3727	130	11	(	(	PUNCT
ejpam-3727	130	12	2020	2020	NUM
ejpam-3727	130	13	)	)	PUNCT
ejpam-3727	130	14	,	,	PUNCT
ejpam-3727	130	15	549	549	NUM
ejpam-3727	130	16	-	-	SYM
ejpam-3727	130	17	566	566	NUM
ejpam-3727	130	18	556	556	NUM
ejpam-3727	130	19	i∗a	i∗a	NUM
ejpam-3727	130	20	=	=	SYM
ejpam-3727	130	21	α1	α1	PROPN
ejpam-3727	130	22	µ+	µ+	PUNCT
ejpam-3727	130	23	γ	γ	X
ejpam-3727	130	24	×	×	PROPN
ejpam-3727	130	25	µ	µ	PRON
ejpam-3727	130	26	r0	r0	NOUN
ejpam-3727	130	27	ψ	ψ	NOUN
ejpam-3727	130	28	µ+ψ	µ+ψ	PUNCT
ejpam-3727	130	29	[	[	PUNCT
ejpam-3727	130	30	α1γ	α1γ	NUM
ejpam-3727	130	31	µ+γ	µ+γ	SYM
ejpam-3727	130	32	+	+	NUM
ejpam-3727	130	33	α2θ1	α2θ1	PROPN
ejpam-3727	130	34	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	130	35	+	+	X
ejpam-3727	130	36	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	130	37	(	(	PUNCT
ejpam-3727	130	38	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	130	39	)	)	PUNCT
ejpam-3727	130	40	]	]	PUNCT
ejpam-3727	130	41	−	−	PROPN
ejpam-3727	130	42	(	(	PUNCT
ejpam-3727	130	43	µ+α)(µ+α1+α2	µ+α)(µ+α1+α2	PROPN
ejpam-3727	130	44	)	)	PUNCT
ejpam-3727	130	45	α	α	PROPN
ejpam-3727	130	46	(	(	PUNCT
ejpam-3727	130	47	27	27	NUM
ejpam-3727	130	48	)	)	PUNCT
ejpam-3727	130	49	i∗s	i∗s	PROPN
ejpam-3727	130	50	=	=	SYM
ejpam-3727	130	51	α2	α2	PROPN
ejpam-3727	130	52	µ+	µ+	PUNCT
ejpam-3727	130	53	θ1	θ1	PROPN
ejpam-3727	130	54	+	+	CCONJ
ejpam-3727	130	55	θ2	θ2	PROPN
ejpam-3727	130	56	×	×	PROPN
ejpam-3727	130	57	µ	µ	PRON
ejpam-3727	130	58	r0	r0	NOUN
ejpam-3727	130	59	ψ	ψ	NOUN
ejpam-3727	130	60	µ+ψ	µ+ψ	PUNCT
ejpam-3727	130	61	[	[	PUNCT
ejpam-3727	130	62	α1γ	α1γ	NUM
ejpam-3727	130	63	µ+γ	µ+γ	SYM
ejpam-3727	130	64	+	+	NUM
ejpam-3727	130	65	α2θ1	α2θ1	PROPN
ejpam-3727	130	66	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	130	67	+	+	X
ejpam-3727	130	68	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	130	69	(	(	PUNCT
ejpam-3727	130	70	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	130	71	)	)	PUNCT
ejpam-3727	130	72	]	]	PUNCT
ejpam-3727	130	73	−	−	PROPN
ejpam-3727	130	74	(	(	PUNCT
ejpam-3727	130	75	µ+α)(µ+α1+α2	µ+α)(µ+α1+α2	PROPN
ejpam-3727	130	76	)	)	PUNCT
ejpam-3727	130	77	α	α	PROPN
ejpam-3727	130	78	(	(	PUNCT
ejpam-3727	130	79	28	28	NUM
ejpam-3727	130	80	)	)	PUNCT
ejpam-3727	130	81	i∗d	i∗d	NUM
ejpam-3727	131	1	=	=	SYM
ejpam-3727	131	2	α2θ2	α2θ2	PROPN
ejpam-3727	131	3	(	(	PUNCT
ejpam-3727	131	4	µ+	µ+	X
ejpam-3727	131	5	θ1	θ1	NOUN
ejpam-3727	131	6	+	+	CCONJ
ejpam-3727	131	7	θ2)(µ+	θ2)(µ+	NOUN
ejpam-3727	131	8	µ1	µ1	PROPN
ejpam-3727	131	9	+	+	PROPN
ejpam-3727	131	10	θd	θd	NOUN
ejpam-3727	131	11	)	)	PUNCT
ejpam-3727	131	12	×	×	PROPN
ejpam-3727	131	13	µ	µ	PROPN
ejpam-3727	131	14	r0	r0	NOUN
ejpam-3727	131	15	ψ	ψ	NOUN
ejpam-3727	131	16	µ+ψ	µ+ψ	PUNCT
ejpam-3727	131	17	[	[	PUNCT
ejpam-3727	131	18	α1γ	α1γ	NUM
ejpam-3727	131	19	µ+γ	µ+γ	SYM
ejpam-3727	131	20	+	+	NUM
ejpam-3727	131	21	α2θ1	α2θ1	PROPN
ejpam-3727	131	22	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	131	23	+	+	X
ejpam-3727	131	24	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	131	25	(	(	PUNCT
ejpam-3727	131	26	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	131	27	)	)	PUNCT
ejpam-3727	131	28	]	]	PUNCT
ejpam-3727	131	29	−	−	PROPN
ejpam-3727	131	30	(	(	PUNCT
ejpam-3727	131	31	µ+α)(µ+α1+α2	µ+α)(µ+α1+α2	PROPN
ejpam-3727	131	32	)	)	PUNCT
ejpam-3727	131	33	α	α	PROPN
ejpam-3727	131	34	(	(	PUNCT
ejpam-3727	131	35	29	29	NUM
ejpam-3727	131	36	)	)	PUNCT
ejpam-3727	131	37	theorem	theorem	NOUN
ejpam-3727	131	38	3	3	NUM
ejpam-3727	131	39	.	.	PUNCT
ejpam-3727	132	1	the	the	DET
ejpam-3727	132	2	endemic	endemic	ADJ
ejpam-3727	132	3	equilibrium	equilibrium	NOUN
ejpam-3727	132	4	e∗	e∗	NOUN
ejpam-3727	132	5	is	be	AUX
ejpam-3727	132	6	asymptotically	asymptotically	ADV
ejpam-3727	132	7	stable	stable	ADJ
ejpam-3727	132	8	if	if	SCONJ
ejpam-3727	132	9	r0	r0	NOUN
ejpam-3727	132	10	>	>	X
ejpam-3727	132	11	1	1	X
ejpam-3727	132	12	.	.	PUNCT
ejpam-3727	133	1	proof	proof	NOUN
ejpam-3727	133	2	.	.	PUNCT
ejpam-3727	134	1	we	we	PRON
ejpam-3727	134	2	evaluate	evaluate	VERB
ejpam-3727	134	3	the	the	DET
ejpam-3727	134	4	jacobian	jacobian	ADJ
ejpam-3727	134	5	matrix	matrix	NOUN
ejpam-3727	134	6	given	give	VERB
ejpam-3727	134	7	by	by	ADP
ejpam-3727	134	8	(	(	PUNCT
ejpam-3727	134	9	15	15	NUM
ejpam-3727	134	10	)	)	PUNCT
ejpam-3727	134	11	at	at	ADP
ejpam-3727	134	12	endemic	endemic	ADJ
ejpam-3727	134	13	equilibrium	equilibrium	NOUN
ejpam-3727	134	14	e∗	e∗	NOUN
ejpam-3727	134	15	and	and	CCONJ
ejpam-3727	134	16	we	we	PRON
ejpam-3727	134	17	obtain	obtain	VERB
ejpam-3727	134	18	:	:	PUNCT
ejpam-3727	134	19	j(s∗,e∗,i∗,i∗a	j(s∗,e∗,i∗,i∗a	PROPN
ejpam-3727	134	20	,	,	PUNCT
ejpam-3727	134	21	i	i	PRON
ejpam-3727	134	22	∗	∗	NOUN
ejpam-3727	134	23	s	s	PART
ejpam-3727	134	24	,	,	PUNCT
ejpam-3727	134	25	i	i	PRON
ejpam-3727	134	26	∗	∗	NOUN
ejpam-3727	134	27	d	d	NOUN
ejpam-3727	134	28	)	)	PUNCT
ejpam-3727	134	29	=	=	SYM
ejpam-3727	135	1			NOUN
ejpam-3727	135	2	−µ−i∗	−µ−i∗	X
ejpam-3727	135	3	r0(µ+α)(µ+α1+α2	r0(µ+α)(µ+α1+α2	NOUN
ejpam-3727	135	4	)	)	PUNCT
ejpam-3727	135	5	α	α	NOUN
ejpam-3727	135	6	0	0	NUM
ejpam-3727	135	7	−βs∗	−βs∗	NOUN
ejpam-3727	135	8	−βs∗	−βs∗	X
ejpam-3727	135	9	−βs∗	−βs∗	PROPN
ejpam-3727	135	10	−βs∗	−βs∗	PROPN
ejpam-3727	135	11	i∗	i∗	PROPN
ejpam-3727	135	12	r0(µ+α)(µ+α1+α2	r0(µ+α)(µ+α1+α2	NOUN
ejpam-3727	135	13	)	)	PUNCT
ejpam-3727	135	14	α	α	PRON
ejpam-3727	136	1	−µ−α	−µ−α	PROPN
ejpam-3727	136	2	βs∗	βs∗	NOUN
ejpam-3727	136	3	βs∗	βs∗	X
ejpam-3727	136	4	βs∗	βs∗	X
ejpam-3727	136	5	βs∗	βs∗	X
ejpam-3727	136	6	0	0	NUM
ejpam-3727	137	1	α	α	NOUN
ejpam-3727	137	2	−µ−α1−α2	−µ−α1−α2	PROPN
ejpam-3727	137	3	0	0	NUM
ejpam-3727	137	4	0	0	NUM
ejpam-3727	137	5	0	0	NUM
ejpam-3727	137	6	0	0	NUM
ejpam-3727	137	7	0	0	NUM
ejpam-3727	137	8	α1	α1	PROPN
ejpam-3727	137	9	−µ−γ	−µ−γ	ADV
ejpam-3727	137	10	0	0	NUM
ejpam-3727	137	11	0	0	NUM
ejpam-3727	137	12	0	0	NUM
ejpam-3727	137	13	0	0	NUM
ejpam-3727	137	14	α2	α2	ADJ
ejpam-3727	137	15	0	0	NUM
ejpam-3727	137	16	−µ−θ1−θ2	−µ−θ1−θ2	PROPN
ejpam-3727	137	17	0	0	NUM
ejpam-3727	137	18	0	0	NUM
ejpam-3727	137	19	0	0	NUM
ejpam-3727	137	20	0	0	NUM
ejpam-3727	137	21	0	0	NUM
ejpam-3727	137	22	θ2	θ2	ADP
ejpam-3727	137	23	−µ−µ1−θd	−µ−µ1−θd	PRON
ejpam-3727	137	24			PROPN
ejpam-3727	137	25	(	(	PUNCT
ejpam-3727	137	26	30	30	NUM
ejpam-3727	137	27	)	)	PUNCT
ejpam-3727	137	28	the	the	DET
ejpam-3727	137	29	characteristic	characteristic	ADJ
ejpam-3727	137	30	polynomial	polynomial	NOUN
ejpam-3727	137	31	of	of	ADP
ejpam-3727	137	32	matrix	matrix	NOUN
ejpam-3727	137	33	(	(	PUNCT
ejpam-3727	137	34	30	30	NUM
ejpam-3727	137	35	)	)	PUNCT
ejpam-3727	137	36	is	be	AUX
ejpam-3727	137	37	:	:	PUNCT
ejpam-3727	137	38	p	p	X
ejpam-3727	137	39	∗	∗	X
ejpam-3727	137	40	λ	λ	NOUN
ejpam-3727	137	41	=	=	SYM
ejpam-3727	137	42	λ6	λ6	PROPN
ejpam-3727	137	43	+	+	CCONJ
ejpam-3727	137	44	a1λ	a1λ	PROPN
ejpam-3727	137	45	5	5	NUM
ejpam-3727	137	46	+	+	CCONJ
ejpam-3727	137	47	a2λ	a2λ	NOUN
ejpam-3727	137	48	4	4	NUM
ejpam-3727	137	49	+	+	CCONJ
ejpam-3727	137	50	a3λ	a3λ	NOUN
ejpam-3727	137	51	3	3	NUM
ejpam-3727	137	52	+	+	CCONJ
ejpam-3727	137	53	a4λ	a4λ	PROPN
ejpam-3727	137	54	2	2	NUM
ejpam-3727	137	55	+	+	CCONJ
ejpam-3727	137	56	a5λ+	a5λ+	X
ejpam-3727	137	57	a6	a6	NOUN
ejpam-3727	137	58	(	(	PUNCT
ejpam-3727	137	59	31	31	NUM
ejpam-3727	137	60	)	)	PUNCT
ejpam-3727	137	61	with	with	ADP
ejpam-3727	137	62	:	:	PUNCT
ejpam-3727	137	63	a1	a1	NOUN
ejpam-3727	137	64	=	=	SYM
ejpam-3727	137	65	6µ+µ1+γ+α+α1+α2+θ1+θ2+θd+	6µ+µ1+γ+α+α1+α2+θ1+θ2+θd+	PROPN
ejpam-3727	137	66	µ	µ	X
ejpam-3727	137	67	αψ	αψ	X
ejpam-3727	137	68	(	(	PUNCT
ejpam-3727	137	69	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	137	70	)	)	PUNCT
ejpam-3727	137	71	[	[	PUNCT
ejpam-3727	137	72	α1γ	α1γ	NUM
ejpam-3727	137	73	µ+γ	µ+γ	NUM
ejpam-3727	137	74	+	+	NUM
ejpam-3727	137	75	α2θ1	α2θ1	PROPN
ejpam-3727	137	76	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	137	77	+	+	X
ejpam-3727	137	78	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	137	79	(	(	PUNCT
ejpam-3727	137	80	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	137	81	)	)	PUNCT
ejpam-3727	137	82	]	]	PUNCT
ejpam-3727	137	83	−	−	PROPN
ejpam-3727	137	84	1	1	NUM
ejpam-3727	137	85	>	>	X
ejpam-3727	137	86	0	0	PUNCT
ejpam-3727	137	87	(	(	PUNCT
ejpam-3727	137	88	32	32	NUM
ejpam-3727	137	89	)	)	PUNCT
ejpam-3727	137	90	a2	a2	NOUN
ejpam-3727	137	91	=	=	PUNCT
ejpam-3727	137	92	(	(	PUNCT
ejpam-3727	137	93	µ+θ1	µ+θ1	ADV
ejpam-3727	137	94	+	+	ADJ
ejpam-3727	137	95	θ2)(µ+µ1	θ2)(µ+µ1	ADJ
ejpam-3727	137	96	+	+	ADJ
ejpam-3727	137	97	θd)+(2µ+γ+α1	θd)+(2µ+γ+α1	VERB
ejpam-3727	137	98	+	+	ADJ
ejpam-3727	137	99	α2)(2µ+µ1	α2)(2µ+µ1	PROPN
ejpam-3727	137	100	+	+	ADJ
ejpam-3727	137	101	θ1	θ1	NOUN
ejpam-3727	137	102	+	+	SYM
ejpam-3727	137	103	θ2	θ2	PROPN
ejpam-3727	137	104	+	+	PROPN
ejpam-3727	137	105	θd)+(µ+α1	θd)+(µ+α1	PROPN
ejpam-3727	137	106	+	+	PROPN
ejpam-3727	137	107	α2)×	α2)×	PROPN
ejpam-3727	137	108	(	(	PUNCT
ejpam-3727	137	109	µ+γ)+(2µ+α+	µ+γ)+(2µ+α+	PROPN
ejpam-3727	137	110	µ	µ	X
ejpam-3727	137	111	αψ	αψ	X
ejpam-3727	137	112	(	(	PUNCT
ejpam-3727	137	113	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	137	114	)	)	PUNCT
ejpam-3727	137	115	[	[	PUNCT
ejpam-3727	137	116	α1γ	α1γ	NUM
ejpam-3727	137	117	µ+γ	µ+γ	NUM
ejpam-3727	137	118	+	+	NUM
ejpam-3727	137	119	α2θ1	α2θ1	PROPN
ejpam-3727	137	120	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	137	121	+	+	X
ejpam-3727	137	122	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	137	123	(	(	PUNCT
ejpam-3727	137	124	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	137	125	)	)	PUNCT
ejpam-3727	137	126	]	]	PUNCT
ejpam-3727	137	127	−	−	PROPN
ejpam-3727	137	128	1	1	NUM
ejpam-3727	137	129	)	)	PUNCT
ejpam-3727	137	130	(	(	PUNCT
ejpam-3727	137	131	2µ+µ1+θ1+θ2+θd	2µ+µ1+θ1+θ2+θd	NUM
ejpam-3727	137	132	)	)	PUNCT
ejpam-3727	138	1	+	+	PROPN
ejpam-3727	138	2	(	(	PUNCT
ejpam-3727	138	3	2µ+α+	2µ+α+	NUM
ejpam-3727	138	4	µ	µ	PROPN
ejpam-3727	138	5	αψ	αψ	X
ejpam-3727	138	6	(	(	PUNCT
ejpam-3727	138	7	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	138	8	)	)	PUNCT
ejpam-3727	138	9	[	[	PUNCT
ejpam-3727	138	10	α1γ	α1γ	NUM
ejpam-3727	138	11	µ+γ	µ+γ	NUM
ejpam-3727	138	12	+	+	NUM
ejpam-3727	138	13	α2θ1	α2θ1	PROPN
ejpam-3727	138	14	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	138	15	+	+	X
ejpam-3727	138	16	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	138	17	(	(	PUNCT
ejpam-3727	138	18	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	138	19	)	)	PUNCT
ejpam-3727	138	20	]	]	PUNCT
ejpam-3727	138	21	−	−	PROPN
ejpam-3727	138	22	1	1	NUM
ejpam-3727	138	23	)	)	PUNCT
ejpam-3727	138	24	(	(	PUNCT
ejpam-3727	138	25	2µ+γ+α1+α2	2µ+γ+α1+α2	PROPN
ejpam-3727	138	26	)	)	PUNCT
ejpam-3727	138	27	+	+	CCONJ
ejpam-3727	138	28	(	(	PUNCT
ejpam-3727	138	29	µ+	µ+	X
ejpam-3727	138	30	µ	µ	X
ejpam-3727	138	31	αψ	αψ	X
ejpam-3727	138	32	(	(	PUNCT
ejpam-3727	138	33	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	138	34	)	)	PUNCT
ejpam-3727	138	35	[	[	PUNCT
ejpam-3727	138	36	α1γ	α1γ	NUM
ejpam-3727	138	37	µ+γ	µ+γ	NUM
ejpam-3727	138	38	+	+	NUM
ejpam-3727	138	39	α2θ1	α2θ1	PROPN
ejpam-3727	138	40	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	138	41	+	+	X
ejpam-3727	138	42	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	138	43	(	(	PUNCT
ejpam-3727	138	44	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	138	45	)	)	PUNCT
ejpam-3727	138	46	]	]	PUNCT
ejpam-3727	139	1	−	−	PROPN
ejpam-3727	139	2	1	1	NUM
ejpam-3727	139	3	)	)	PUNCT
ejpam-3727	139	4	(	(	PUNCT
ejpam-3727	139	5	µ+	µ+	PROPN
ejpam-3727	139	6	α)−	α)−	PROPN
ejpam-3727	139	7	αβ	αβ	INTJ
ejpam-3727	139	8	r0	r0	NOUN
ejpam-3727	139	9	>	>	X
ejpam-3727	139	10	0	0	PUNCT
ejpam-3727	140	1	(	(	PUNCT
ejpam-3727	140	2	33	33	NUM
ejpam-3727	140	3	)	)	PUNCT
ejpam-3727	140	4	a3	a3	NOUN
ejpam-3727	140	5	=	=	SYM
ejpam-3727	140	6	(	(	PUNCT
ejpam-3727	140	7	2µ+	2µ+	NUM
ejpam-3727	140	8	γ	γ	PROPN
ejpam-3727	140	9	+	+	SYM
ejpam-3727	140	10	α1	α1	PROPN
ejpam-3727	140	11	+	+	CCONJ
ejpam-3727	140	12	α2)(µ+	α2)(µ+	NOUN
ejpam-3727	140	13	θ1	θ1	NOUN
ejpam-3727	140	14	+	+	CCONJ
ejpam-3727	140	15	θ2)(µ+	θ2)(µ+	NOUN
ejpam-3727	140	16	µ1	µ1	PROPN
ejpam-3727	140	17	+	+	X
ejpam-3727	140	18	θd	θd	NOUN
ejpam-3727	140	19	)	)	PUNCT
ejpam-3727	140	20	+	+	CCONJ
ejpam-3727	140	21	(	(	PUNCT
ejpam-3727	140	22	µ+	µ+	X
ejpam-3727	140	23	α1	α1	PROPN
ejpam-3727	140	24	+	+	CCONJ
ejpam-3727	140	25	α2)(µ+	α2)(µ+	PROPN
ejpam-3727	140	26	γ)×	γ)×	PROPN
ejpam-3727	140	27	a.	a.	NOUN
ejpam-3727	140	28	m.	m.	PROPN
ejpam-3727	140	29	oumarou	oumarou	PROPN
ejpam-3727	140	30	,	,	PUNCT
ejpam-3727	140	31	s.	s.	PROPN
ejpam-3727	140	32	bisso	bisso	PROPN
ejpam-3727	140	33	/	/	SYM
ejpam-3727	140	34	eur	eur	PROPN
ejpam-3727	140	35	.	.	PUNCT
ejpam-3727	141	1	j.	j.	PROPN
ejpam-3727	141	2	pure	pure	PROPN
ejpam-3727	141	3	appl	appl	PROPN
ejpam-3727	141	4	.	.	PROPN
ejpam-3727	141	5	math	math	PROPN
ejpam-3727	141	6	,	,	PUNCT
ejpam-3727	141	7	13	13	NUM
ejpam-3727	141	8	(	(	PUNCT
ejpam-3727	141	9	3	3	NUM
ejpam-3727	141	10	)	)	PUNCT
ejpam-3727	141	11	(	(	PUNCT
ejpam-3727	141	12	2020	2020	NUM
ejpam-3727	141	13	)	)	PUNCT
ejpam-3727	141	14	,	,	PUNCT
ejpam-3727	141	15	549	549	NUM
ejpam-3727	141	16	-	-	SYM
ejpam-3727	141	17	566	566	NUM
ejpam-3727	141	18	557	557	NUM
ejpam-3727	141	19	(	(	PUNCT
ejpam-3727	141	20	2µ+µ1+θ1+θ2+θd)+(2µ+α+	2µ+µ1+θ1+θ2+θd)+(2µ+α+	NUM
ejpam-3727	141	21	µ	µ	NOUN
ejpam-3727	141	22	αψ	αψ	X
ejpam-3727	141	23	(	(	PUNCT
ejpam-3727	141	24	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	141	25	)	)	PUNCT
ejpam-3727	141	26	[	[	PUNCT
ejpam-3727	141	27	α1γ	α1γ	NUM
ejpam-3727	141	28	µ+γ	µ+γ	NUM
ejpam-3727	141	29	+	+	NUM
ejpam-3727	141	30	α2θ1	α2θ1	PROPN
ejpam-3727	141	31	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	141	32	+	+	X
ejpam-3727	141	33	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	141	34	(	(	PUNCT
ejpam-3727	141	35	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	141	36	)	)	PUNCT
ejpam-3727	141	37	]	]	PUNCT
ejpam-3727	141	38	−	−	PROPN
ejpam-3727	141	39	1	1	X
ejpam-3727	141	40	)	)	PUNCT
ejpam-3727	141	41	×	×	NOUN
ejpam-3727	141	42	(	(	PUNCT
ejpam-3727	141	43	µ+θ1+θ2)(µ+µ1+θd)+(2µ+α+	µ+θ1+θ2)(µ+µ1+θd)+(2µ+α+	PROPN
ejpam-3727	141	44	µ	µ	X
ejpam-3727	141	45	αψ	αψ	X
ejpam-3727	141	46	(	(	PUNCT
ejpam-3727	141	47	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	141	48	)	)	PUNCT
ejpam-3727	141	49	[	[	PUNCT
ejpam-3727	141	50	α1γ	α1γ	NUM
ejpam-3727	141	51	µ+γ	µ+γ	NUM
ejpam-3727	141	52	+	+	NUM
ejpam-3727	141	53	α2θ1	α2θ1	PROPN
ejpam-3727	141	54	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	141	55	+	+	X
ejpam-3727	141	56	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	141	57	(	(	PUNCT
ejpam-3727	141	58	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	141	59	)	)	PUNCT
ejpam-3727	141	60	]	]	PUNCT
ejpam-3727	141	61	−	−	PROPN
ejpam-3727	141	62	1	1	X
ejpam-3727	141	63	)	)	PUNCT
ejpam-3727	141	64	×	×	NOUN
ejpam-3727	141	65	(	(	PUNCT
ejpam-3727	141	66	2µ+γ+α1+α2)(2µ+µ1+θ1+θ2+θd)+(2µ+α+	2µ+γ+α1+α2)(2µ+µ1+θ1+θ2+θd)+(2µ+α+	PROPN
ejpam-3727	141	67	µ	µ	PROPN
ejpam-3727	141	68	αψ	αψ	X
ejpam-3727	141	69	(	(	PUNCT
ejpam-3727	141	70	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	141	71	)	)	PUNCT
ejpam-3727	141	72	[	[	PUNCT
ejpam-3727	141	73	α1γ	α1γ	NUM
ejpam-3727	141	74	µ+γ	µ+γ	NUM
ejpam-3727	141	75	+	+	NUM
ejpam-3727	141	76	α2θ1	α2θ1	PROPN
ejpam-3727	141	77	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	141	78	+	+	X
ejpam-3727	141	79	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	141	80	(	(	PUNCT
ejpam-3727	141	81	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	141	82	)	)	PUNCT
ejpam-3727	141	83	]	]	PUNCT
ejpam-3727	141	84	−	−	PROPN
ejpam-3727	141	85	1	1	X
ejpam-3727	141	86	)	)	PUNCT
ejpam-3727	141	87	×	×	NOUN
ejpam-3727	141	88	(	(	PUNCT
ejpam-3727	141	89	µ+α1+α2)(µ+γ)+(µ+	µ+α1+α2)(µ+γ)+(µ+	PROPN
ejpam-3727	141	90	µ	µ	PROPN
ejpam-3727	141	91	αψ	αψ	X
ejpam-3727	141	92	(	(	PUNCT
ejpam-3727	141	93	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	141	94	)	)	PUNCT
ejpam-3727	141	95	[	[	PUNCT
ejpam-3727	141	96	α1γ	α1γ	NUM
ejpam-3727	141	97	µ+γ	µ+γ	NUM
ejpam-3727	141	98	+	+	NUM
ejpam-3727	141	99	α2θ1	α2θ1	PROPN
ejpam-3727	141	100	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	141	101	+	+	X
ejpam-3727	141	102	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	141	103	(	(	PUNCT
ejpam-3727	141	104	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	141	105	)	)	PUNCT
ejpam-3727	141	106	]	]	PUNCT
ejpam-3727	141	107	−	−	PROPN
ejpam-3727	141	108	1	1	NUM
ejpam-3727	141	109	)	)	PUNCT
ejpam-3727	141	110	(	(	PUNCT
ejpam-3727	141	111	µ+α)×	µ+α)×	PROPN
ejpam-3727	141	112	(	(	PUNCT
ejpam-3727	141	113	2µ+µ1+θ1+θ2+θd)+(µ+	2µ+µ1+θ1+θ2+θd)+(µ+	NUM
ejpam-3727	141	114	µ	µ	PROPN
ejpam-3727	141	115	αψ	αψ	X
ejpam-3727	141	116	(	(	PUNCT
ejpam-3727	141	117	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	141	118	)	)	PUNCT
ejpam-3727	141	119	[	[	PUNCT
ejpam-3727	141	120	α1γ	α1γ	NUM
ejpam-3727	141	121	µ+γ	µ+γ	NUM
ejpam-3727	141	122	+	+	NUM
ejpam-3727	141	123	α2θ1	α2θ1	PROPN
ejpam-3727	141	124	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	141	125	+	+	X
ejpam-3727	141	126	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	141	127	(	(	PUNCT
ejpam-3727	141	128	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	141	129	)	)	PUNCT
ejpam-3727	141	130	]	]	PUNCT
ejpam-3727	141	131	−	−	PROPN
ejpam-3727	141	132	1	1	NUM
ejpam-3727	141	133	)	)	PUNCT
ejpam-3727	141	134	(	(	PUNCT
ejpam-3727	141	135	µ+α)×	µ+α)×	PROPN
ejpam-3727	141	136	(	(	PUNCT
ejpam-3727	141	137	2µ+	2µ+	NUM
ejpam-3727	141	138	γ	γ	PROPN
ejpam-3727	141	139	+	+	SYM
ejpam-3727	141	140	α1	α1	PROPN
ejpam-3727	141	141	+	+	CCONJ
ejpam-3727	141	142	α2)−	α2)−	NUM
ejpam-3727	141	143	αβ	αβ	INTJ
ejpam-3727	141	144	r0	r0	NOUN
ejpam-3727	141	145	(	(	PUNCT
ejpam-3727	141	146	2µ+	2µ+	NUM
ejpam-3727	141	147	µ1	µ1	PROPN
ejpam-3727	141	148	+	+	CCONJ
ejpam-3727	141	149	θ1	θ1	NOUN
ejpam-3727	141	150	+	+	CCONJ
ejpam-3727	141	151	θ2	θ2	PROPN
ejpam-3727	141	152	+	+	CCONJ
ejpam-3727	141	153	θd)−	θd)−	ADJ
ejpam-3727	141	154	αβ	αβ	PRON
ejpam-3727	141	155	r0	r0	NOUN
ejpam-3727	141	156	(	(	PUNCT
ejpam-3727	141	157	2µ+	2µ+	NUM
ejpam-3727	141	158	γ)−	γ)−	ADJ
ejpam-3727	141	159	α1	α1	VERB
ejpam-3727	141	160	αβ	αβ	INTJ
ejpam-3727	141	161	r0	r0	NOUN
ejpam-3727	141	162	−	−	NOUN
ejpam-3727	141	163	α2	α2	ADJ
ejpam-3727	141	164	αβ	αβ	INTJ
ejpam-3727	141	165	r0	r0	VERB
ejpam-3727	141	166	>	>	X
ejpam-3727	141	167	0	0	PUNCT
ejpam-3727	142	1	(	(	PUNCT
ejpam-3727	142	2	34	34	NUM
ejpam-3727	142	3	)	)	PUNCT
ejpam-3727	142	4	a4	a4	NOUN
ejpam-3727	142	5	=	=	SYM
ejpam-3727	142	6	(	(	PUNCT
ejpam-3727	142	7	µ+	µ+	X
ejpam-3727	142	8	α1	α1	PROPN
ejpam-3727	142	9	+	+	CCONJ
ejpam-3727	142	10	α2)(µ+	α2)(µ+	NOUN
ejpam-3727	142	11	γ)(µ+	γ)(µ+	X
ejpam-3727	142	12	θ1	θ1	PROPN
ejpam-3727	142	13	+	+	CCONJ
ejpam-3727	142	14	θ2)(µ+	θ2)(µ+	NOUN
ejpam-3727	142	15	µ1	µ1	PROPN
ejpam-3727	142	16	+	+	X
ejpam-3727	142	17	θd	θd	NOUN
ejpam-3727	142	18	)	)	PUNCT
ejpam-3727	142	19	+	+	CCONJ
ejpam-3727	142	20	(	(	PUNCT
ejpam-3727	142	21	2µ+	2µ+	NUM
ejpam-3727	142	22	α+	α+	X
ejpam-3727	142	23	µ	µ	X
ejpam-3727	142	24	αψ	αψ	X
ejpam-3727	142	25	(	(	PUNCT
ejpam-3727	142	26	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	142	27	)	)	PUNCT
ejpam-3727	142	28	[	[	PUNCT
ejpam-3727	142	29	α1γ	α1γ	NUM
ejpam-3727	142	30	µ+γ	µ+γ	NUM
ejpam-3727	142	31	+	+	NUM
ejpam-3727	142	32	α2θ1	α2θ1	PROPN
ejpam-3727	142	33	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	142	34	+	+	X
ejpam-3727	142	35	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	142	36	(	(	PUNCT
ejpam-3727	142	37	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	142	38	)	)	PUNCT
ejpam-3727	142	39	]	]	PUNCT
ejpam-3727	142	40	−	−	PROPN
ejpam-3727	142	41	1	1	X
ejpam-3727	142	42	)	)	PUNCT
ejpam-3727	142	43	×	×	NOUN
ejpam-3727	142	44	(	(	PUNCT
ejpam-3727	142	45	2µ+γ+α1+α2)(µ+θ1+θ2)(µ+µ1+θd)+(2µ+α+	2µ+γ+α1+α2)(µ+θ1+θ2)(µ+µ1+θd)+(2µ+α+	NUM
ejpam-3727	142	46	µ	µ	X
ejpam-3727	142	47	αψ	αψ	X
ejpam-3727	142	48	(	(	PUNCT
ejpam-3727	142	49	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	142	50	)	)	PUNCT
ejpam-3727	142	51	[	[	PUNCT
ejpam-3727	142	52	α1γ	α1γ	NUM
ejpam-3727	142	53	µ+γ	µ+γ	NUM
ejpam-3727	142	54	+	+	NUM
ejpam-3727	142	55	α2θ1	α2θ1	PROPN
ejpam-3727	142	56	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	142	57	+	+	X
ejpam-3727	142	58	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	142	59	(	(	PUNCT
ejpam-3727	142	60	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	142	61	)	)	PUNCT
ejpam-3727	142	62	]	]	PUNCT
ejpam-3727	142	63	−	−	PROPN
ejpam-3727	142	64	1	1	X
ejpam-3727	142	65	)	)	PUNCT
ejpam-3727	142	66	×	×	NOUN
ejpam-3727	142	67	(	(	PUNCT
ejpam-3727	142	68	2µ+µ1+θ1+θ2+θd)(µ+α1+α2)(µ+γ)+(µ+	2µ+µ1+θ1+θ2+θd)(µ+α1+α2)(µ+γ)+(µ+	NUM
ejpam-3727	142	69	µ	µ	PRON
ejpam-3727	142	70	αψ	αψ	X
ejpam-3727	142	71	(	(	PUNCT
ejpam-3727	142	72	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	142	73	)	)	PUNCT
ejpam-3727	142	74	[	[	PUNCT
ejpam-3727	142	75	α1γ	α1γ	NUM
ejpam-3727	142	76	µ+γ	µ+γ	NUM
ejpam-3727	142	77	+	+	NUM
ejpam-3727	142	78	α2θ1	α2θ1	PROPN
ejpam-3727	142	79	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	142	80	+	+	X
ejpam-3727	142	81	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	142	82	(	(	PUNCT
ejpam-3727	142	83	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	142	84	)	)	PUNCT
ejpam-3727	142	85	]	]	PUNCT
ejpam-3727	142	86	−	−	PROPN
ejpam-3727	142	87	1	1	X
ejpam-3727	142	88	)	)	PUNCT
ejpam-3727	142	89	×	×	NOUN
ejpam-3727	142	90	(	(	PUNCT
ejpam-3727	142	91	µ+α)(µ+θ1+θ2)(µ+µ1+θd)+(µ+	µ+α)(µ+θ1+θ2)(µ+µ1+θd)+(µ+	ADP
ejpam-3727	142	92	µ	µ	PROPN
ejpam-3727	142	93	αψ	αψ	X
ejpam-3727	142	94	(	(	PUNCT
ejpam-3727	142	95	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	142	96	)	)	PUNCT
ejpam-3727	142	97	[	[	PUNCT
ejpam-3727	142	98	α1γ	α1γ	NUM
ejpam-3727	142	99	µ+γ	µ+γ	NUM
ejpam-3727	142	100	+	+	NUM
ejpam-3727	142	101	α2θ1	α2θ1	PROPN
ejpam-3727	142	102	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	142	103	+	+	X
ejpam-3727	142	104	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	142	105	(	(	PUNCT
ejpam-3727	142	106	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	142	107	)	)	PUNCT
ejpam-3727	142	108	]	]	PUNCT
ejpam-3727	142	109	−	−	PROPN
ejpam-3727	142	110	1	1	X
ejpam-3727	142	111	)	)	PUNCT
ejpam-3727	142	112	×	×	NOUN
ejpam-3727	142	113	(	(	PUNCT
ejpam-3727	142	114	µ+α)(2µ+γ+α1+α2)(2µ+µ1+θ1+θ2+θd)+(µ+	µ+α)(2µ+γ+α1+α2)(2µ+µ1+θ1+θ2+θd)+(µ+	PROPN
ejpam-3727	142	115	µ	µ	X
ejpam-3727	142	116	αψ	αψ	X
ejpam-3727	142	117	(	(	PUNCT
ejpam-3727	142	118	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	142	119	)	)	PUNCT
ejpam-3727	142	120	[	[	PUNCT
ejpam-3727	142	121	α1γ	α1γ	NUM
ejpam-3727	142	122	µ+γ	µ+γ	NUM
ejpam-3727	142	123	+	+	NUM
ejpam-3727	142	124	α2θ1	α2θ1	PROPN
ejpam-3727	142	125	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	142	126	+	+	X
ejpam-3727	142	127	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	142	128	(	(	PUNCT
ejpam-3727	142	129	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	142	130	)	)	PUNCT
ejpam-3727	142	131	]	]	PUNCT
ejpam-3727	142	132	−	−	PROPN
ejpam-3727	142	133	1	1	X
ejpam-3727	142	134	)	)	PUNCT
ejpam-3727	142	135	×	×	NOUN
ejpam-3727	142	136	(	(	PUNCT
ejpam-3727	142	137	µ+	µ+	X
ejpam-3727	142	138	α)(µ+	α)(µ+	NUM
ejpam-3727	142	139	α1	α1	PROPN
ejpam-3727	142	140	+	+	CCONJ
ejpam-3727	142	141	α2)(µ+	α2)(µ+	NOUN
ejpam-3727	143	1	γ)−	γ)−	ADJ
ejpam-3727	143	2	α2θ2	α2θ2	NOUN
ejpam-3727	143	3	αβ	αβ	PRON
ejpam-3727	143	4	r0	r0	NOUN
ejpam-3727	143	5	−	−	PROPN
ejpam-3727	143	6	αβ	αβ	INTJ
ejpam-3727	143	7	r0	r0	NOUN
ejpam-3727	143	8	(	(	PUNCT
ejpam-3727	143	9	µ+	µ+	X
ejpam-3727	143	10	θ1	θ1	NOUN
ejpam-3727	143	11	+	+	CCONJ
ejpam-3727	143	12	θ2)(µ+	θ2)(µ+	NOUN
ejpam-3727	143	13	µ1	µ1	NOUN
ejpam-3727	143	14	+	+	CCONJ
ejpam-3727	143	15	θd)−	θd)−	ADJ
ejpam-3727	143	16	αβ	αβ	PRON
ejpam-3727	143	17	r0	r0	NOUN
ejpam-3727	143	18	(	(	PUNCT
ejpam-3727	143	19	2µ+	2µ+	NUM
ejpam-3727	143	20	γ)×	γ)×	SYM
ejpam-3727	143	21	(	(	PUNCT
ejpam-3727	143	22	2µ+	2µ+	NUM
ejpam-3727	143	23	µ1	µ1	PROPN
ejpam-3727	143	24	+	+	CCONJ
ejpam-3727	143	25	θ1	θ1	NOUN
ejpam-3727	143	26	+	+	CCONJ
ejpam-3727	143	27	θ2	θ2	PROPN
ejpam-3727	143	28	+	+	CCONJ
ejpam-3727	143	29	θd)−	θd)−	ADJ
ejpam-3727	143	30	αβ	αβ	INTJ
ejpam-3727	143	31	r0	r0	NOUN
ejpam-3727	143	32	µ(µ+	µ(µ+	NOUN
ejpam-3727	143	33	γ)−	γ)−	PUNCT
ejpam-3727	144	1	αβ	αβ	INTJ
ejpam-3727	144	2	r0	r0	VERB
ejpam-3727	144	3	α2(µ+	α2(µ+	PROPN
ejpam-3727	144	4	µ1	µ1	PROPN
ejpam-3727	144	5	+	+	CCONJ
ejpam-3727	144	6	θd)−	θd)−	ADJ
ejpam-3727	144	7	αβ	αβ	PRON
ejpam-3727	144	8	r0	r0	NOUN
ejpam-3727	144	9	α2(2µ+	α2(2µ+	NUM
ejpam-3727	144	10	γ)−	γ)−	PUNCT
ejpam-3727	145	1	αβ	αβ	CCONJ
ejpam-3727	145	2	r0	r0	NOUN
ejpam-3727	145	3	α1×	α1×	NOUN
ejpam-3727	145	4	(	(	PUNCT
ejpam-3727	145	5	2µ+	2µ+	NUM
ejpam-3727	145	6	µ1	µ1	PROPN
ejpam-3727	145	7	+	+	CCONJ
ejpam-3727	145	8	θ1	θ1	NOUN
ejpam-3727	145	9	+	+	CCONJ
ejpam-3727	145	10	θ2	θ2	PROPN
ejpam-3727	145	11	+	+	CCONJ
ejpam-3727	145	12	θd)−	θd)−	ADJ
ejpam-3727	145	13	αβ	αβ	PRON
ejpam-3727	145	14	r0	r0	NOUN
ejpam-3727	145	15	α1µ	α1µ	PROPN
ejpam-3727	145	16	>	>	SYM
ejpam-3727	145	17	0	0	PUNCT
ejpam-3727	146	1	(	(	PUNCT
ejpam-3727	146	2	35	35	NUM
ejpam-3727	146	3	)	)	PUNCT
ejpam-3727	146	4	a5	a5	NOUN
ejpam-3727	146	5	=	=	PUNCT
ejpam-3727	146	6	(	(	PUNCT
ejpam-3727	146	7	2µ+α+	2µ+α+	NUM
ejpam-3727	146	8	µ	µ	PROPN
ejpam-3727	146	9	αψ	αψ	X
ejpam-3727	146	10	(	(	PUNCT
ejpam-3727	146	11	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	146	12	)	)	PUNCT
ejpam-3727	146	13	[	[	PUNCT
ejpam-3727	146	14	α1γ	α1γ	NUM
ejpam-3727	146	15	µ+γ	µ+γ	NUM
ejpam-3727	146	16	+	+	NUM
ejpam-3727	146	17	α2θ1	α2θ1	PROPN
ejpam-3727	146	18	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	146	19	+	+	X
ejpam-3727	146	20	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	146	21	(	(	PUNCT
ejpam-3727	146	22	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	146	23	)	)	PUNCT
ejpam-3727	146	24	]	]	PUNCT
ejpam-3727	146	25	−	−	PROPN
ejpam-3727	146	26	1	1	NUM
ejpam-3727	146	27	)	)	PUNCT
ejpam-3727	146	28	(	(	PUNCT
ejpam-3727	146	29	µ+α1+α2)(µ+γ)×	µ+α1+α2)(µ+γ)×	PROPN
ejpam-3727	146	30	(	(	PUNCT
ejpam-3727	146	31	µ+θ1+θ2)(µ+µ1+θd)+(µ+	µ+θ1+θ2)(µ+µ1+θd)+(µ+	PROPN
ejpam-3727	146	32	µ	µ	X
ejpam-3727	146	33	αψ	αψ	X
ejpam-3727	146	34	(	(	PUNCT
ejpam-3727	146	35	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	146	36	)	)	PUNCT
ejpam-3727	146	37	[	[	PUNCT
ejpam-3727	146	38	α1γ	α1γ	NUM
ejpam-3727	146	39	µ+γ	µ+γ	NUM
ejpam-3727	146	40	+	+	NUM
ejpam-3727	146	41	α2θ1	α2θ1	PROPN
ejpam-3727	146	42	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	146	43	+	+	X
ejpam-3727	146	44	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	146	45	(	(	PUNCT
ejpam-3727	146	46	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	146	47	)	)	PUNCT
ejpam-3727	146	48	]	]	PUNCT
ejpam-3727	146	49	−	−	PROPN
ejpam-3727	146	50	1	1	X
ejpam-3727	146	51	)	)	PUNCT
ejpam-3727	146	52	×	×	NOUN
ejpam-3727	146	53	(	(	PUNCT
ejpam-3727	146	54	µ+	µ+	PROPN
ejpam-3727	146	55	α)(2µ+	α)(2µ+	PROPN
ejpam-3727	146	56	γ	γ	PROPN
ejpam-3727	146	57	+	+	CCONJ
ejpam-3727	146	58	α1	α1	PROPN
ejpam-3727	146	59	+	+	CCONJ
ejpam-3727	146	60	α2)(µ+	α2)(µ+	NOUN
ejpam-3727	146	61	θ1	θ1	NOUN
ejpam-3727	146	62	+	+	CCONJ
ejpam-3727	146	63	θ2)(µ+	θ2)(µ+	NOUN
ejpam-3727	146	64	µ1	µ1	PROPN
ejpam-3727	146	65	+	+	X
ejpam-3727	146	66	θd	θd	NOUN
ejpam-3727	146	67	)	)	PUNCT
ejpam-3727	146	68	+	+	CCONJ
ejpam-3727	146	69	(	(	PUNCT
ejpam-3727	146	70	µ+	µ+	X
ejpam-3727	146	71	µ	µ	X
ejpam-3727	146	72	αψ	αψ	X
ejpam-3727	146	73	(	(	PUNCT
ejpam-3727	146	74	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	146	75	)	)	PUNCT
ejpam-3727	146	76	[	[	PUNCT
ejpam-3727	146	77	α1γ	α1γ	NUM
ejpam-3727	146	78	µ+γ	µ+γ	NUM
ejpam-3727	146	79	+	+	NUM
ejpam-3727	146	80	α2θ1	α2θ1	PROPN
ejpam-3727	146	81	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	146	82	+	+	X
ejpam-3727	146	83	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	146	84	(	(	PUNCT
ejpam-3727	146	85	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	146	86	)	)	PUNCT
ejpam-3727	146	87	]	]	PUNCT
ejpam-3727	146	88	−	−	PROPN
ejpam-3727	146	89	1	1	X
ejpam-3727	146	90	)	)	PUNCT
ejpam-3727	146	91	×	×	NOUN
ejpam-3727	146	92	a.	a.	NOUN
ejpam-3727	146	93	m.	m.	NOUN
ejpam-3727	146	94	oumarou	oumarou	PROPN
ejpam-3727	146	95	,	,	PUNCT
ejpam-3727	146	96	s.	s.	PROPN
ejpam-3727	146	97	bisso	bisso	PROPN
ejpam-3727	146	98	/	/	SYM
ejpam-3727	146	99	eur	eur	PROPN
ejpam-3727	146	100	.	.	PUNCT
ejpam-3727	147	1	j.	j.	PROPN
ejpam-3727	147	2	pure	pure	PROPN
ejpam-3727	147	3	appl	appl	PROPN
ejpam-3727	147	4	.	.	PROPN
ejpam-3727	147	5	math	math	PROPN
ejpam-3727	147	6	,	,	PUNCT
ejpam-3727	147	7	13	13	NUM
ejpam-3727	147	8	(	(	PUNCT
ejpam-3727	147	9	3	3	NUM
ejpam-3727	147	10	)	)	PUNCT
ejpam-3727	147	11	(	(	PUNCT
ejpam-3727	147	12	2020	2020	NUM
ejpam-3727	147	13	)	)	PUNCT
ejpam-3727	147	14	,	,	PUNCT
ejpam-3727	147	15	549	549	NUM
ejpam-3727	147	16	-	-	SYM
ejpam-3727	147	17	566	566	NUM
ejpam-3727	147	18	558	558	NUM
ejpam-3727	147	19	(	(	PUNCT
ejpam-3727	147	20	µ+α)(µ+α1+α2)(µ+γ)(2µ+µ1+θ1+θ2+θd)−α2θ2	µ+α)(µ+α1+α2)(µ+γ)(2µ+µ1+θ1+θ2+θd)−α2θ2	VERB
ejpam-3727	147	21	αβ	αβ	PRON
ejpam-3727	147	22	r0	r0	NOUN
ejpam-3727	147	23	(	(	PUNCT
ejpam-3727	147	24	2µ+γ)−αβ	2µ+γ)−αβ	NUM
ejpam-3727	147	25	r0	r0	NOUN
ejpam-3727	147	26	(	(	PUNCT
ejpam-3727	147	27	2µ+γ)(µ+θ1+θ2)×	2µ+γ)(µ+θ1+θ2)×	NUM
ejpam-3727	147	28	(	(	PUNCT
ejpam-3727	147	29	µ+µ1+θd)−	µ+µ1+θd)−	NOUN
ejpam-3727	147	30	αβ	αβ	INTJ
ejpam-3727	147	31	r0	r0	VERB
ejpam-3727	147	32	µ(µ+γ)(2µ+µ1+θ1+θ2+θd)−α2	µ(µ+γ)(2µ+µ1+θ1+θ2+θd)−α2	PROPN
ejpam-3727	147	33	αβ	αβ	INTJ
ejpam-3727	147	34	r0	r0	NOUN
ejpam-3727	147	35	(	(	PUNCT
ejpam-3727	147	36	2µ+γ)(µ+µ1+θd)−α2µ	2µ+γ)(µ+µ1+θd)−α2µ	NUM
ejpam-3727	147	37	αβ	αβ	PROPN
ejpam-3727	147	38	r0	r0	NOUN
ejpam-3727	147	39	(	(	PUNCT
ejpam-3727	147	40	µ+γ	µ+γ	NUM
ejpam-3727	147	41	)	)	PUNCT
ejpam-3727	147	42	−	−	PROPN
ejpam-3727	147	43	α1	α1	PROPN
ejpam-3727	147	44	αβ	αβ	INTJ
ejpam-3727	147	45	r0	r0	NOUN
ejpam-3727	147	46	(	(	PUNCT
ejpam-3727	147	47	µ+	µ+	X
ejpam-3727	147	48	θ1	θ1	NOUN
ejpam-3727	147	49	+	+	CCONJ
ejpam-3727	147	50	θ2)(µ+	θ2)(µ+	NOUN
ejpam-3727	147	51	µ1	µ1	NOUN
ejpam-3727	147	52	+	+	CCONJ
ejpam-3727	147	53	θd)−	θd)−	ADJ
ejpam-3727	147	54	α1µ	α1µ	PROPN
ejpam-3727	147	55	αβ	αβ	INTJ
ejpam-3727	147	56	r0	r0	NOUN
ejpam-3727	147	57	(	(	PUNCT
ejpam-3727	147	58	2µ+	2µ+	NUM
ejpam-3727	147	59	µ1	µ1	PROPN
ejpam-3727	147	60	+	+	CCONJ
ejpam-3727	147	61	θ1	θ1	NOUN
ejpam-3727	147	62	+	+	CCONJ
ejpam-3727	147	63	θ2	θ2	PROPN
ejpam-3727	147	64	+	+	CCONJ
ejpam-3727	147	65	θd	θd	NOUN
ejpam-3727	147	66	)	)	PUNCT
ejpam-3727	147	67	>	>	X
ejpam-3727	147	68	0	0	PUNCT
ejpam-3727	148	1	(	(	PUNCT
ejpam-3727	148	2	36	36	NUM
ejpam-3727	148	3	)	)	PUNCT
ejpam-3727	148	4	a6	a6	NOUN
ejpam-3727	148	5	=	=	SYM
ejpam-3727	148	6	(	(	PUNCT
ejpam-3727	148	7	µ+	µ+	X
ejpam-3727	148	8	µ	µ	X
ejpam-3727	148	9	αψ	αψ	X
ejpam-3727	148	10	(	(	PUNCT
ejpam-3727	148	11	µ+ψ)(µ+α)(µ+α1+α2	µ+ψ)(µ+α)(µ+α1+α2	NOUN
ejpam-3727	148	12	)	)	PUNCT
ejpam-3727	148	13	[	[	PUNCT
ejpam-3727	148	14	α1γ	α1γ	NUM
ejpam-3727	148	15	µ+γ	µ+γ	NUM
ejpam-3727	148	16	+	+	NUM
ejpam-3727	148	17	α2θ1	α2θ1	PROPN
ejpam-3727	148	18	µ+θ1+θ2	µ+θ1+θ2	PROPN
ejpam-3727	148	19	+	+	X
ejpam-3727	148	20	θ2θdα2	θ2θdα2	ADJ
ejpam-3727	148	21	(	(	PUNCT
ejpam-3727	148	22	µ+θ1+θ2)(µ+µ1+θd	µ+θ1+θ2)(µ+µ1+θd	ADJ
ejpam-3727	148	23	)	)	PUNCT
ejpam-3727	148	24	]	]	PUNCT
ejpam-3727	148	25	−	−	PROPN
ejpam-3727	148	26	1	1	NUM
ejpam-3727	148	27	)	)	PUNCT
ejpam-3727	148	28	(	(	PUNCT
ejpam-3727	148	29	µ+α)(µ+α1+α2)(µ+γ)×	µ+α)(µ+α1+α2)(µ+γ)×	X
ejpam-3727	148	30	(	(	PUNCT
ejpam-3727	148	31	µ+θ1+θ2)(µ+µ1+θd)−α2θ2	µ+θ1+θ2)(µ+µ1+θd)−α2θ2	NOUN
ejpam-3727	148	32	αβ	αβ	PRON
ejpam-3727	148	33	r0	r0	NOUN
ejpam-3727	148	34	µ(µ+γ)−αβ	µ(µ+γ)−αβ	NOUN
ejpam-3727	148	35	r0	r0	NOUN
ejpam-3727	148	36	µ(µ+γ)(µ+θ1+θ2)(µ+µ1+θd)−α2	µ(µ+γ)(µ+θ1+θ2)(µ+µ1+θd)−α2	PROPN
ejpam-3727	148	37	αβ	αβ	PRON
ejpam-3727	148	38	r0	r0	NOUN
ejpam-3727	148	39	µ×	µ×	PRON
ejpam-3727	148	40	(	(	PUNCT
ejpam-3727	148	41	µ+	µ+	X
ejpam-3727	148	42	γ)(µ+	γ)(µ+	NOUN
ejpam-3727	148	43	µ1	µ1	PROPN
ejpam-3727	148	44	+	+	CCONJ
ejpam-3727	148	45	θd)−	θd)−	ADJ
ejpam-3727	148	46	α1	α1	NOUN
ejpam-3727	148	47	αβ	αβ	INTJ
ejpam-3727	148	48	r0	r0	NOUN
ejpam-3727	148	49	µ(µ+	µ(µ+	PART
ejpam-3727	148	50	θ1	θ1	NOUN
ejpam-3727	148	51	+	+	CCONJ
ejpam-3727	148	52	θ2)(µ+	θ2)(µ+	NOUN
ejpam-3727	148	53	µ1	µ1	PROPN
ejpam-3727	148	54	+	+	X
ejpam-3727	148	55	θd	θd	NOUN
ejpam-3727	148	56	)	)	PUNCT
ejpam-3727	148	57	>	>	X
ejpam-3727	148	58	0	0	X
ejpam-3727	148	59	.	.	PUNCT
ejpam-3727	149	1	(	(	PUNCT
ejpam-3727	149	2	37	37	NUM
ejpam-3727	149	3	)	)	PUNCT
ejpam-3727	149	4	a	a	DET
ejpam-3727	149	5	simple	simple	ADJ
ejpam-3727	149	6	calculus	calculus	NOUN
ejpam-3727	149	7	give	give	VERB
ejpam-3727	149	8	us	we	PRON
ejpam-3727	149	9	:	:	PUNCT
ejpam-3727	149	10	h1	h1	NOUN
ejpam-3727	149	11	=	=	PUNCT
ejpam-3727	149	12	a1	a1	PROPN
ejpam-3727	149	13	>	>	X
ejpam-3727	149	14	0	0	NUM
ejpam-3727	149	15	h2	h2	NOUN
ejpam-3727	149	16	=	=	NOUN
ejpam-3727	149	17	a1	a1	NOUN
ejpam-3727	149	18	∗	∗	NOUN
ejpam-3727	149	19	a2	a2	PROPN
ejpam-3727	149	20	−	−	PROPN
ejpam-3727	149	21	a3	a3	PROPN
ejpam-3727	149	22	>	>	X
ejpam-3727	149	23	0	0	PUNCT
ejpam-3727	150	1	if	if	SCONJ
ejpam-3727	150	2	r0	r0	NOUN
ejpam-3727	150	3	>	>	X
ejpam-3727	150	4	1	1	NUM
ejpam-3727	150	5	and	and	CCONJ
ejpam-3727	150	6	h3	h3	NOUN
ejpam-3727	150	7	=	=	SYM
ejpam-3727	150	8	a3(a1a2−a3)−a1(a1a4−a5	a3(a1a2−a3)−a1(a1a4−a5	PROPN
ejpam-3727	150	9	)	)	PUNCT
ejpam-3727	150	10	>	>	X
ejpam-3727	150	11	0	0	PUNCT
ejpam-3727	150	12	and	and	CCONJ
ejpam-3727	150	13	h4	h4	PROPN
ejpam-3727	150	14	=	=	SYM
ejpam-3727	150	15	(	(	PUNCT
ejpam-3727	150	16	a1a2−a3)(a1a6+a3a4−a2a5)−(a1a4−a5)2	a1a2−a3)(a1a6+a3a4−a2a5)−(a1a4−a5)2	PROPN
ejpam-3727	150	17	>	>	X
ejpam-3727	150	18	0	0	NUM
ejpam-3727	151	1	then	then	ADV
ejpam-3727	151	2	the	the	DET
ejpam-3727	151	3	endemic	endemic	ADJ
ejpam-3727	151	4	equilibrium	equilibrium	NOUN
ejpam-3727	151	5	is	be	AUX
ejpam-3727	151	6	asymptotically	asymptotically	ADV
ejpam-3727	151	7	stable	stable	ADJ
ejpam-3727	151	8	.	.	PUNCT
ejpam-3727	152	1	if	if	SCONJ
ejpam-3727	152	2	r0	r0	NOUN
ejpam-3727	152	3	>	>	X
ejpam-3727	152	4	1	1	NUM
ejpam-3727	152	5	and	and	CCONJ
ejpam-3727	152	6	h3	h3	NOUN
ejpam-3727	152	7	=	=	PUNCT
ejpam-3727	152	8	a3(a1a2	a3(a1a2	VERB
ejpam-3727	152	9	−	−	X
ejpam-3727	152	10	a3)−	a3)−	PROPN
ejpam-3727	152	11	a1(a1a4	a1(a1a4	PROPN
ejpam-3727	152	12	−	−	PROPN
ejpam-3727	152	13	a5	a5	PROPN
ejpam-3727	152	14	)	)	PUNCT
ejpam-3727	152	15	<	<	X
ejpam-3727	152	16	0	0	NUM
ejpam-3727	152	17	or	or	CCONJ
ejpam-3727	152	18	h4	h4	PROPN
ejpam-3727	152	19	=	=	SYM
ejpam-3727	152	20	(	(	PUNCT
ejpam-3727	152	21	a1a2	a1a2	ADP
ejpam-3727	152	22	−	−	PROPN
ejpam-3727	152	23	a3)(a1a6	a3)(a1a6	NOUN
ejpam-3727	152	24	+	+	CCONJ
ejpam-3727	152	25	a3a4	a3a4	VERB
ejpam-3727	152	26	−	−	PROPN
ejpam-3727	152	27	a2a5)−	a2a5)−	NOUN
ejpam-3727	152	28	(	(	PUNCT
ejpam-3727	152	29	a1a4	a1a4	ADP
ejpam-3727	152	30	−	−	ADP
ejpam-3727	152	31	a5)2	a5)2	ADP
ejpam-3727	152	32	<	<	X
ejpam-3727	152	33	0	0	X
ejpam-3727	153	1	then	then	ADV
ejpam-3727	153	2	the	the	DET
ejpam-3727	153	3	endemic	endemic	ADJ
ejpam-3727	153	4	equilibrium	equilibrium	NOUN
ejpam-3727	153	5	is	be	AUX
ejpam-3727	153	6	unstable	unstable	ADJ
ejpam-3727	153	7	.	.	PUNCT
ejpam-3727	154	1	6	6	X
ejpam-3727	154	2	.	.	X
ejpam-3727	154	3	a	a	DET
ejpam-3727	154	4	real	real	ADJ
ejpam-3727	154	5	-	-	PUNCT
ejpam-3727	154	6	world	world	NOUN
ejpam-3727	154	7	implementation	implementation	NOUN
ejpam-3727	154	8	and	and	CCONJ
ejpam-3727	154	9	numerical	numerical	ADJ
ejpam-3727	154	10	simulations	simulation	NOUN
ejpam-3727	154	11	for	for	ADP
ejpam-3727	154	12	niger	niger	NOUN
ejpam-3727	154	13	republic	republic	NOUN
ejpam-3727	154	14	we	we	PRON
ejpam-3727	154	15	simulate	simulate	VERB
ejpam-3727	154	16	the	the	DET
ejpam-3727	154	17	infectious	infectious	ADJ
ejpam-3727	154	18	,	,	PUNCT
ejpam-3727	154	19	asymptomatic	asymptomatic	ADJ
ejpam-3727	154	20	infectious	infectious	ADJ
ejpam-3727	154	21	,	,	PUNCT
ejpam-3727	154	22	symptomatic	symptomatic	ADJ
ejpam-3727	154	23	infectious	infectious	ADJ
ejpam-3727	154	24	and	and	CCONJ
ejpam-3727	154	25	infectious	infectious	ADJ
ejpam-3727	154	26	in	in	ADP
ejpam-3727	154	27	the	the	DET
ejpam-3727	154	28	critical	critical	ADJ
ejpam-3727	154	29	cases	case	NOUN
ejpam-3727	154	30	functions	function	NOUN
ejpam-3727	154	31	when	when	SCONJ
ejpam-3727	154	32	r0	r0	NOUN
ejpam-3727	154	33	>	>	X
ejpam-3727	154	34	1	1	NUM
ejpam-3727	154	35	and	and	CCONJ
ejpam-3727	154	36	r0	r0	VERB
ejpam-3727	154	37	<	<	X
ejpam-3727	154	38	1	1	NUM
ejpam-3727	154	39	which	which	PRON
ejpam-3727	154	40	give	give	VERB
ejpam-3727	154	41	us	we	PRON
ejpam-3727	154	42	the	the	DET
ejpam-3727	154	43	following	follow	VERB
ejpam-3727	154	44	figures	figure	NOUN
ejpam-3727	154	45	.	.	PUNCT
ejpam-3727	155	1	all	all	DET
ejpam-3727	155	2	simulations	simulation	NOUN
ejpam-3727	155	3	is	be	AUX
ejpam-3727	155	4	according	accord	VERB
ejpam-3727	155	5	to	to	ADP
ejpam-3727	155	6	the	the	DET
ejpam-3727	155	7	official	official	ADJ
ejpam-3727	155	8	data	datum	NOUN
ejpam-3727	155	9	from	from	ADP
ejpam-3727	155	10	niger	niger	PROPN
ejpam-3727	155	11	republic	republic	NOUN
ejpam-3727	155	12	.	.	PUNCT
ejpam-3727	156	1	numerical	numerical	ADJ
ejpam-3727	156	2	simulations	simulation	NOUN
ejpam-3727	156	3	is	be	AUX
ejpam-3727	156	4	generated	generate	VERB
ejpam-3727	156	5	by	by	ADP
ejpam-3727	156	6	python	python	PROPN
ejpam-3727	156	7	environment	environment	NOUN
ejpam-3727	156	8	.	.	PUNCT
ejpam-3727	157	1	a.	a.	PROPN
ejpam-3727	157	2	m.	m.	PROPN
ejpam-3727	157	3	oumarou	oumarou	PROPN
ejpam-3727	157	4	,	,	PUNCT
ejpam-3727	157	5	s.	s.	PROPN
ejpam-3727	157	6	bisso	bisso	PROPN
ejpam-3727	157	7	/	/	SYM
ejpam-3727	157	8	eur	eur	PROPN
ejpam-3727	157	9	.	.	PUNCT
ejpam-3727	158	1	j.	j.	PROPN
ejpam-3727	158	2	pure	pure	PROPN
ejpam-3727	158	3	appl	appl	PROPN
ejpam-3727	158	4	.	.	PROPN
ejpam-3727	158	5	math	math	PROPN
ejpam-3727	158	6	,	,	PUNCT
ejpam-3727	158	7	13	13	NUM
ejpam-3727	158	8	(	(	PUNCT
ejpam-3727	158	9	3	3	NUM
ejpam-3727	158	10	)	)	PUNCT
ejpam-3727	158	11	(	(	PUNCT
ejpam-3727	158	12	2020	2020	NUM
ejpam-3727	158	13	)	)	PUNCT
ejpam-3727	158	14	,	,	PUNCT
ejpam-3727	158	15	549	549	NUM
ejpam-3727	158	16	-	-	SYM
ejpam-3727	158	17	566	566	NUM
ejpam-3727	158	18	559	559	NUM
ejpam-3727	158	19	(	(	PUNCT
ejpam-3727	158	20	i	i	NOUN
ejpam-3727	158	21	)	)	PUNCT
ejpam-3727	158	22	r0	r0	NOUN
ejpam-3727	158	23	=	=	SYM
ejpam-3727	158	24	3.65	3.65	NUM
ejpam-3727	158	25	β	β	X
ejpam-3727	158	26	=	=	SYM
ejpam-3727	158	27	0.2	0.2	NUM
ejpam-3727	158	28	.	.	PUNCT
ejpam-3727	159	1	figure	figure	NOUN
ejpam-3727	159	2	1	1	NUM
ejpam-3727	159	3	:	:	PUNCT
ejpam-3727	159	4	infectious	infectious	ADJ
ejpam-3727	159	5	figure	figure	NOUN
ejpam-3727	159	6	2	2	NUM
ejpam-3727	159	7	:	:	PUNCT
ejpam-3727	159	8	infectious	infectious	ADJ
ejpam-3727	159	9	asymptomatic	asymptomatic	ADJ
ejpam-3727	159	10	figure	figure	NOUN
ejpam-3727	159	11	3	3	NUM
ejpam-3727	159	12	:	:	PUNCT
ejpam-3727	159	13	infectious	infectious	ADJ
ejpam-3727	159	14	symptomatic	symptomatic	ADJ
ejpam-3727	159	15	figure	figure	NOUN
ejpam-3727	159	16	4	4	NUM
ejpam-3727	159	17	:	:	PUNCT
ejpam-3727	159	18	infectious	infectious	ADJ
ejpam-3727	159	19	in	in	ADP
ejpam-3727	159	20	critical	critical	ADJ
ejpam-3727	159	21	cases	case	NOUN
ejpam-3727	159	22	we	we	PRON
ejpam-3727	159	23	see	see	VERB
ejpam-3727	159	24	in	in	ADP
ejpam-3727	159	25	figure	figure	NOUN
ejpam-3727	159	26	1	1	NUM
ejpam-3727	159	27	which	which	PRON
ejpam-3727	159	28	represents	represent	VERB
ejpam-3727	159	29	the	the	DET
ejpam-3727	159	30	number	number	NOUN
ejpam-3727	159	31	of	of	ADP
ejpam-3727	159	32	infectious	infectious	ADJ
ejpam-3727	159	33	people	people	NOUN
ejpam-3727	159	34	that	that	SCONJ
ejpam-3727	159	35	in	in	ADP
ejpam-3727	159	36	the	the	DET
ejpam-3727	159	37	absence	absence	NOUN
ejpam-3727	159	38	of	of	ADP
ejpam-3727	159	39	any	any	DET
ejpam-3727	159	40	preventive	preventive	ADJ
ejpam-3727	159	41	measures	measure	NOUN
ejpam-3727	159	42	,	,	PUNCT
ejpam-3727	159	43	the	the	DET
ejpam-3727	159	44	peak	peak	NOUN
ejpam-3727	159	45	of	of	ADP
ejpam-3727	159	46	the	the	DET
ejpam-3727	159	47	disease	disease	NOUN
ejpam-3727	159	48	would	would	AUX
ejpam-3727	159	49	be	be	AUX
ejpam-3727	159	50	reached	reach	VERB
ejpam-3727	159	51	on	on	ADP
ejpam-3727	159	52	june	june	PROPN
ejpam-3727	159	53	06th	06th	PROPN
ejpam-3727	159	54	,	,	PUNCT
ejpam-3727	159	55	2020	2020	NUM
ejpam-3727	159	56	with	with	ADP
ejpam-3727	159	57	nearly	nearly	ADV
ejpam-3727	159	58	1,550,000	1,550,000	NUM
ejpam-3727	159	59	infectious	infectious	ADJ
ejpam-3727	159	60	cases	case	NOUN
ejpam-3727	159	61	.	.	PUNCT
ejpam-3727	160	1	similarly	similarly	ADV
ejpam-3727	160	2	in	in	ADP
ejpam-3727	160	3	figure	figure	NOUN
ejpam-3727	160	4	2	2	NUM
ejpam-3727	160	5	which	which	PRON
ejpam-3727	160	6	represents	represent	VERB
ejpam-3727	160	7	the	the	DET
ejpam-3727	160	8	number	number	NOUN
ejpam-3727	160	9	of	of	ADP
ejpam-3727	160	10	asymptomatic	asymptomatic	ADJ
ejpam-3727	160	11	infectious	infectious	ADJ
ejpam-3727	160	12	people	people	NOUN
ejpam-3727	160	13	that	that	SCONJ
ejpam-3727	160	14	in	in	ADP
ejpam-3727	160	15	the	the	DET
ejpam-3727	160	16	absence	absence	NOUN
ejpam-3727	160	17	of	of	ADP
ejpam-3727	160	18	any	any	DET
ejpam-3727	160	19	preventive	preventive	ADJ
ejpam-3727	160	20	measures	measure	NOUN
ejpam-3727	160	21	,	,	PUNCT
ejpam-3727	160	22	the	the	DET
ejpam-3727	160	23	peak	peak	NOUN
ejpam-3727	160	24	of	of	ADP
ejpam-3727	160	25	the	the	DET
ejpam-3727	160	26	disease	disease	NOUN
ejpam-3727	160	27	would	would	AUX
ejpam-3727	160	28	be	be	AUX
ejpam-3727	160	29	reached	reach	VERB
ejpam-3727	160	30	on	on	ADP
ejpam-3727	160	31	june	june	PROPN
ejpam-3727	160	32	28th	28th	NUM
ejpam-3727	160	33	,	,	PUNCT
ejpam-3727	160	34	2020	2020	NUM
ejpam-3727	160	35	with	with	ADP
ejpam-3727	160	36	nearly	nearly	ADV
ejpam-3727	160	37	690,000	690,000	NUM
ejpam-3727	160	38	asymptomatic	asymptomatic	ADJ
ejpam-3727	160	39	infectious	infectious	ADJ
ejpam-3727	160	40	cases	case	NOUN
ejpam-3727	160	41	.	.	PUNCT
ejpam-3727	161	1	we	we	PRON
ejpam-3727	161	2	see	see	VERB
ejpam-3727	161	3	in	in	ADP
ejpam-3727	161	4	figure	figure	NOUN
ejpam-3727	161	5	3	3	NUM
ejpam-3727	161	6	which	which	PRON
ejpam-3727	161	7	represents	represent	VERB
ejpam-3727	161	8	the	the	DET
ejpam-3727	161	9	number	number	NOUN
ejpam-3727	161	10	of	of	ADP
ejpam-3727	161	11	symptomatic	symptomatic	ADJ
ejpam-3727	161	12	infectious	infectious	ADJ
ejpam-3727	161	13	people	people	NOUN
ejpam-3727	161	14	that	that	SCONJ
ejpam-3727	161	15	in	in	ADP
ejpam-3727	161	16	the	the	DET
ejpam-3727	161	17	absence	absence	NOUN
ejpam-3727	161	18	of	of	ADP
ejpam-3727	161	19	any	any	DET
ejpam-3727	161	20	preventive	preventive	ADJ
ejpam-3727	161	21	measures	measure	NOUN
ejpam-3727	161	22	,	,	PUNCT
ejpam-3727	161	23	the	the	DET
ejpam-3727	161	24	peak	peak	NOUN
ejpam-3727	161	25	of	of	ADP
ejpam-3727	161	26	the	the	DET
ejpam-3727	161	27	disease	disease	NOUN
ejpam-3727	161	28	would	would	AUX
ejpam-3727	161	29	be	be	AUX
ejpam-3727	161	30	reached	reach	VERB
ejpam-3727	161	31	on	on	ADP
ejpam-3727	161	32	june	june	PROPN
ejpam-3727	161	33	28th	28th	NUM
ejpam-3727	161	34	,	,	PUNCT
ejpam-3727	161	35	2020	2020	NUM
ejpam-3727	161	36	with	with	ADP
ejpam-3727	161	37	nearly	nearly	ADV
ejpam-3727	161	38	245,000	245,000	NUM
ejpam-3727	161	39	symptomatic	symptomatic	ADJ
ejpam-3727	161	40	infectious	infectious	ADJ
ejpam-3727	161	41	cases	case	NOUN
ejpam-3727	161	42	.	.	PUNCT
ejpam-3727	162	1	these	these	PRON
ejpam-3727	162	2	are	be	AUX
ejpam-3727	162	3	the	the	DET
ejpam-3727	162	4	cases	case	NOUN
ejpam-3727	162	5	that	that	PRON
ejpam-3727	162	6	really	really	ADV
ejpam-3727	162	7	need	need	VERB
ejpam-3727	162	8	symptomatic	symptomatic	ADJ
ejpam-3727	162	9	treatment	treatment	NOUN
ejpam-3727	162	10	.	.	PUNCT
ejpam-3727	163	1	we	we	PRON
ejpam-3727	163	2	see	see	VERB
ejpam-3727	163	3	in	in	ADP
ejpam-3727	163	4	figure	figure	NOUN
ejpam-3727	163	5	4	4	NUM
ejpam-3727	163	6	which	which	PRON
ejpam-3727	163	7	represents	represent	VERB
ejpam-3727	163	8	the	the	DET
ejpam-3727	163	9	number	number	NOUN
ejpam-3727	163	10	of	of	ADP
ejpam-3727	163	11	infectious	infectious	ADJ
ejpam-3727	163	12	people	people	NOUN
ejpam-3727	163	13	who	who	PRON
ejpam-3727	163	14	are	be	AUX
ejpam-3727	163	15	in	in	ADP
ejpam-3727	163	16	respiratory	respiratory	ADJ
ejpam-3727	163	17	distress	distress	NOUN
ejpam-3727	163	18	that	that	SCONJ
ejpam-3727	163	19	in	in	ADP
ejpam-3727	163	20	the	the	DET
ejpam-3727	163	21	absence	absence	NOUN
ejpam-3727	163	22	of	of	ADP
ejpam-3727	163	23	any	any	DET
ejpam-3727	163	24	preventive	preventive	ADJ
ejpam-3727	163	25	measures	measure	NOUN
ejpam-3727	163	26	,	,	PUNCT
ejpam-3727	163	27	the	the	DET
ejpam-3727	163	28	peak	peak	NOUN
ejpam-3727	163	29	of	of	ADP
ejpam-3727	163	30	the	the	DET
ejpam-3727	163	31	disease	disease	NOUN
ejpam-3727	163	32	would	would	AUX
ejpam-3727	163	33	be	be	AUX
ejpam-3727	163	34	reached	reach	VERB
ejpam-3727	163	35	on	on	ADP
ejpam-3727	163	36	june	june	PROPN
ejpam-3727	163	37	28th	28th	NUM
ejpam-3727	163	38	,	,	PUNCT
ejpam-3727	163	39	2020	2020	NUM
ejpam-3727	163	40	with	with	ADP
ejpam-3727	163	41	nearly	nearly	ADV
ejpam-3727	163	42	70,000	70,000	NUM
ejpam-3727	163	43	infectious	infectious	ADJ
ejpam-3727	163	44	cases	case	NOUN
ejpam-3727	163	45	in	in	ADP
ejpam-3727	163	46	distress	distress	NOUN
ejpam-3727	163	47	.	.	PUNCT
ejpam-3727	164	1	these	these	PRON
ejpam-3727	164	2	are	be	AUX
ejpam-3727	164	3	the	the	DET
ejpam-3727	164	4	cases	case	NOUN
ejpam-3727	164	5	that	that	PRON
ejpam-3727	164	6	really	really	ADV
ejpam-3727	164	7	need	need	VERB
ejpam-3727	164	8	artificial	artificial	ADJ
ejpam-3727	164	9	respirators	respirator	NOUN
ejpam-3727	164	10	.	.	PUNCT
ejpam-3727	165	1	(	(	PUNCT
ejpam-3727	165	2	ii	ii	NOUN
ejpam-3727	165	3	)	)	PUNCT
ejpam-3727	165	4	r0	r0	NOUN
ejpam-3727	165	5	=	=	NOUN
ejpam-3727	165	6	1.82	1.82	NUM
ejpam-3727	165	7	β	β	X
ejpam-3727	165	8	=	=	NOUN
ejpam-3727	165	9	0.1	0.1	NUM
ejpam-3727	165	10	.	.	PUNCT
ejpam-3727	166	1	a.	a.	PROPN
ejpam-3727	166	2	m.	m.	PROPN
ejpam-3727	166	3	oumarou	oumarou	PROPN
ejpam-3727	166	4	,	,	PUNCT
ejpam-3727	166	5	s.	s.	PROPN
ejpam-3727	166	6	bisso	bisso	PROPN
ejpam-3727	166	7	/	/	SYM
ejpam-3727	166	8	eur	eur	PROPN
ejpam-3727	166	9	.	.	PUNCT
ejpam-3727	167	1	j.	j.	PROPN
ejpam-3727	167	2	pure	pure	PROPN
ejpam-3727	167	3	appl	appl	PROPN
ejpam-3727	167	4	.	.	PROPN
ejpam-3727	167	5	math	math	PROPN
ejpam-3727	167	6	,	,	PUNCT
ejpam-3727	167	7	13	13	NUM
ejpam-3727	167	8	(	(	PUNCT
ejpam-3727	167	9	3	3	NUM
ejpam-3727	167	10	)	)	PUNCT
ejpam-3727	167	11	(	(	PUNCT
ejpam-3727	167	12	2020	2020	NUM
ejpam-3727	167	13	)	)	PUNCT
ejpam-3727	167	14	,	,	PUNCT
ejpam-3727	167	15	549	549	NUM
ejpam-3727	167	16	-	-	SYM
ejpam-3727	167	17	566	566	NUM
ejpam-3727	167	18	560	560	NUM
ejpam-3727	167	19	figure	figure	NOUN
ejpam-3727	167	20	1	1	NUM
ejpam-3727	167	21	:	:	PUNCT
ejpam-3727	167	22	infectious	infectious	ADJ
ejpam-3727	167	23	figure	figure	NOUN
ejpam-3727	167	24	2	2	NUM
ejpam-3727	167	25	:	:	PUNCT
ejpam-3727	167	26	infectious	infectious	ADJ
ejpam-3727	167	27	asymptomatic	asymptomatic	ADJ
ejpam-3727	167	28	figure	figure	NOUN
ejpam-3727	167	29	3	3	NUM
ejpam-3727	167	30	:	:	PUNCT
ejpam-3727	167	31	infectious	infectious	ADJ
ejpam-3727	167	32	symptomatic	symptomatic	ADJ
ejpam-3727	167	33	figure	figure	NOUN
ejpam-3727	167	34	4	4	NUM
ejpam-3727	167	35	:	:	PUNCT
ejpam-3727	167	36	infectious	infectious	ADJ
ejpam-3727	167	37	in	in	ADP
ejpam-3727	167	38	critical	critical	ADJ
ejpam-3727	167	39	cases	case	NOUN
ejpam-3727	167	40	figure	figure	VERB
ejpam-3727	167	41	1	1	NUM
ejpam-3727	167	42	informs	inform	VERB
ejpam-3727	167	43	us	we	PRON
ejpam-3727	167	44	that	that	SCONJ
ejpam-3727	167	45	the	the	DET
ejpam-3727	167	46	peak	peak	NOUN
ejpam-3727	167	47	of	of	ADP
ejpam-3727	167	48	the	the	DET
ejpam-3727	167	49	number	number	NOUN
ejpam-3727	167	50	of	of	ADP
ejpam-3727	167	51	infectious	infectious	ADJ
ejpam-3727	167	52	patients	patient	NOUN
ejpam-3727	167	53	in	in	ADP
ejpam-3727	167	54	the	the	DET
ejpam-3727	167	55	absence	absence	NOUN
ejpam-3727	167	56	of	of	ADP
ejpam-3727	167	57	any	any	DET
ejpam-3727	167	58	preventive	preventive	ADJ
ejpam-3727	167	59	measures	measure	NOUN
ejpam-3727	167	60	but	but	CCONJ
ejpam-3727	167	61	with	with	ADP
ejpam-3727	167	62	a	a	DET
ejpam-3727	167	63	reduced	reduce	VERB
ejpam-3727	167	64	contact	contact	NOUN
ejpam-3727	167	65	rate	rate	NOUN
ejpam-3727	167	66	compared	compare	VERB
ejpam-3727	167	67	to	to	ADP
ejpam-3727	167	68	the	the	DET
ejpam-3727	167	69	previous	previous	ADJ
ejpam-3727	167	70	one	one	NOUN
ejpam-3727	167	71	would	would	AUX
ejpam-3727	167	72	be	be	AUX
ejpam-3727	167	73	reached	reach	VERB
ejpam-3727	167	74	on	on	ADP
ejpam-3727	167	75	september	september	PROPN
ejpam-3727	167	76	16th	16th	NOUN
ejpam-3727	167	77	,	,	PUNCT
ejpam-3727	167	78	2020	2020	NUM
ejpam-3727	167	79	with	with	ADP
ejpam-3727	167	80	nearly	nearly	ADV
ejpam-3727	167	81	340,000	340,000	NUM
ejpam-3727	167	82	infectious	infectious	ADJ
ejpam-3727	167	83	cases	case	NOUN
ejpam-3727	167	84	.	.	PUNCT
ejpam-3727	168	1	figure	figure	NOUN
ejpam-3727	168	2	2	2	NUM
ejpam-3727	168	3	informs	inform	VERB
ejpam-3727	168	4	us	we	PRON
ejpam-3727	168	5	that	that	SCONJ
ejpam-3727	168	6	the	the	DET
ejpam-3727	168	7	peak	peak	NOUN
ejpam-3727	168	8	of	of	ADP
ejpam-3727	168	9	the	the	DET
ejpam-3727	168	10	number	number	NOUN
ejpam-3727	168	11	of	of	ADP
ejpam-3727	168	12	asymptomatic	asymptomatic	ADJ
ejpam-3727	168	13	infectious	infectious	ADJ
ejpam-3727	168	14	patients	patient	NOUN
ejpam-3727	168	15	in	in	ADP
ejpam-3727	168	16	the	the	DET
ejpam-3727	168	17	absence	absence	NOUN
ejpam-3727	168	18	of	of	ADP
ejpam-3727	168	19	any	any	DET
ejpam-3727	168	20	preventive	preventive	ADJ
ejpam-3727	168	21	measures	measure	NOUN
ejpam-3727	168	22	but	but	CCONJ
ejpam-3727	168	23	with	with	ADP
ejpam-3727	168	24	a	a	DET
ejpam-3727	168	25	reduced	reduce	VERB
ejpam-3727	168	26	contact	contact	NOUN
ejpam-3727	168	27	rate	rate	NOUN
ejpam-3727	168	28	compared	compare	VERB
ejpam-3727	168	29	to	to	ADP
ejpam-3727	168	30	the	the	DET
ejpam-3727	168	31	previous	previous	ADJ
ejpam-3727	168	32	one	one	NOUN
ejpam-3727	168	33	would	would	AUX
ejpam-3727	168	34	be	be	AUX
ejpam-3727	168	35	reached	reach	VERB
ejpam-3727	168	36	on	on	ADP
ejpam-3727	168	37	september	september	PROPN
ejpam-3727	168	38	16th	16th	NOUN
ejpam-3727	168	39	,	,	PUNCT
ejpam-3727	168	40	2020	2020	NUM
ejpam-3727	168	41	with	with	ADP
ejpam-3727	168	42	nearly	nearly	ADV
ejpam-3727	168	43	200,000	200,000	NUM
ejpam-3727	168	44	asymptomatic	asymptomatic	ADJ
ejpam-3727	168	45	infectious	infectious	ADJ
ejpam-3727	168	46	cases	case	NOUN
ejpam-3727	168	47	.	.	PUNCT
ejpam-3727	169	1	figure	figure	NOUN
ejpam-3727	169	2	3	3	NUM
ejpam-3727	169	3	informs	inform	VERB
ejpam-3727	169	4	us	we	PRON
ejpam-3727	169	5	that	that	SCONJ
ejpam-3727	169	6	the	the	DET
ejpam-3727	169	7	peak	peak	NOUN
ejpam-3727	169	8	of	of	ADP
ejpam-3727	169	9	the	the	DET
ejpam-3727	169	10	number	number	NOUN
ejpam-3727	169	11	of	of	ADP
ejpam-3727	169	12	symptomatic	symptomatic	ADJ
ejpam-3727	169	13	infectious	infectious	ADJ
ejpam-3727	169	14	patients	patient	NOUN
ejpam-3727	169	15	in	in	ADP
ejpam-3727	169	16	the	the	DET
ejpam-3727	169	17	absence	absence	NOUN
ejpam-3727	169	18	of	of	ADP
ejpam-3727	169	19	any	any	DET
ejpam-3727	169	20	preventive	preventive	ADJ
ejpam-3727	169	21	measures	measure	NOUN
ejpam-3727	169	22	but	but	CCONJ
ejpam-3727	169	23	with	with	ADP
ejpam-3727	169	24	a	a	DET
ejpam-3727	169	25	reduced	reduce	VERB
ejpam-3727	169	26	contact	contact	NOUN
ejpam-3727	169	27	rate	rate	NOUN
ejpam-3727	169	28	compared	compare	VERB
ejpam-3727	169	29	to	to	ADP
ejpam-3727	169	30	the	the	DET
ejpam-3727	169	31	previous	previous	ADJ
ejpam-3727	169	32	one	one	NOUN
ejpam-3727	169	33	would	would	AUX
ejpam-3727	169	34	be	be	AUX
ejpam-3727	169	35	reached	reach	VERB
ejpam-3727	169	36	on	on	ADP
ejpam-3727	169	37	september	september	PROPN
ejpam-3727	169	38	16th	16th	NOUN
ejpam-3727	169	39	,	,	PUNCT
ejpam-3727	169	40	2020	2020	NUM
ejpam-3727	169	41	with	with	ADP
ejpam-3727	169	42	nearly	nearly	ADV
ejpam-3727	169	43	69,000	69,000	NUM
ejpam-3727	169	44	symptomatic	symptomatic	ADJ
ejpam-3727	169	45	infectious	infectious	ADJ
ejpam-3727	169	46	cases	case	NOUN
ejpam-3727	169	47	.	.	PUNCT
ejpam-3727	170	1	these	these	PRON
ejpam-3727	170	2	are	be	AUX
ejpam-3727	170	3	the	the	DET
ejpam-3727	170	4	cases	case	NOUN
ejpam-3727	170	5	that	that	PRON
ejpam-3727	170	6	require	require	VERB
ejpam-3727	170	7	symptomatic	symptomatic	ADJ
ejpam-3727	170	8	treatment	treatment	NOUN
ejpam-3727	170	9	.	.	PUNCT
ejpam-3727	171	1	figure	figure	NOUN
ejpam-3727	171	2	4	4	NUM
ejpam-3727	171	3	informs	inform	VERB
ejpam-3727	171	4	us	we	PRON
ejpam-3727	171	5	that	that	SCONJ
ejpam-3727	171	6	the	the	DET
ejpam-3727	171	7	peak	peak	NOUN
ejpam-3727	171	8	of	of	ADP
ejpam-3727	171	9	the	the	DET
ejpam-3727	171	10	number	number	NOUN
ejpam-3727	171	11	of	of	ADP
ejpam-3727	171	12	infectious	infectious	ADJ
ejpam-3727	171	13	respiratory	respiratory	ADJ
ejpam-3727	171	14	distress	distress	NOUN
ejpam-3727	171	15	patients	patient	NOUN
ejpam-3727	171	16	in	in	ADP
ejpam-3727	171	17	the	the	DET
ejpam-3727	171	18	absence	absence	NOUN
ejpam-3727	171	19	of	of	ADP
ejpam-3727	171	20	any	any	DET
ejpam-3727	171	21	preventive	preventive	ADJ
ejpam-3727	171	22	measures	measure	NOUN
ejpam-3727	171	23	but	but	CCONJ
ejpam-3727	171	24	with	with	ADP
ejpam-3727	171	25	a	a	DET
ejpam-3727	171	26	reduced	reduce	VERB
ejpam-3727	171	27	contact	contact	NOUN
ejpam-3727	171	28	rate	rate	NOUN
ejpam-3727	171	29	compared	compare	VERB
ejpam-3727	171	30	to	to	ADP
ejpam-3727	171	31	the	the	DET
ejpam-3727	171	32	previous	previous	ADJ
ejpam-3727	171	33	one	one	NOUN
ejpam-3727	171	34	would	would	AUX
ejpam-3727	171	35	be	be	AUX
ejpam-3727	171	36	reached	reach	VERB
ejpam-3727	171	37	on	on	ADP
ejpam-3727	171	38	october	october	PROPN
ejpam-3727	171	39	11th	11th	NOUN
ejpam-3727	171	40	,	,	PUNCT
ejpam-3727	171	41	2020	2020	NUM
ejpam-3727	171	42	with	with	ADP
ejpam-3727	171	43	nearly	nearly	ADV
ejpam-3727	171	44	20,000	20,000	NUM
ejpam-3727	171	45	cases	case	NOUN
ejpam-3727	171	46	.	.	PUNCT
ejpam-3727	172	1	these	these	PRON
ejpam-3727	172	2	are	be	AUX
ejpam-3727	172	3	the	the	DET
ejpam-3727	172	4	cases	case	NOUN
ejpam-3727	172	5	that	that	PRON
ejpam-3727	172	6	require	require	VERB
ejpam-3727	172	7	respiratory	respiratory	ADJ
ejpam-3727	172	8	assistance	assistance	NOUN
ejpam-3727	172	9	.	.	PUNCT
ejpam-3727	173	1	(	(	PUNCT
ejpam-3727	173	2	iii	iii	X
ejpam-3727	173	3	)	)	PUNCT
ejpam-3727	173	4	r0	r0	NOUN
ejpam-3727	173	5	=	=	NOUN
ejpam-3727	173	6	0.64	0.64	NUM
ejpam-3727	173	7	β	β	X
ejpam-3727	173	8	=	=	NOUN
ejpam-3727	173	9	0.035	0.035	NUM
ejpam-3727	173	10	.	.	PUNCT
ejpam-3727	174	1	a.	a.	PROPN
ejpam-3727	174	2	m.	m.	PROPN
ejpam-3727	174	3	oumarou	oumarou	PROPN
ejpam-3727	174	4	,	,	PUNCT
ejpam-3727	174	5	s.	s.	PROPN
ejpam-3727	174	6	bisso	bisso	PROPN
ejpam-3727	174	7	/	/	SYM
ejpam-3727	174	8	eur	eur	PROPN
ejpam-3727	174	9	.	.	PUNCT
ejpam-3727	175	1	j.	j.	PROPN
ejpam-3727	175	2	pure	pure	PROPN
ejpam-3727	175	3	appl	appl	PROPN
ejpam-3727	175	4	.	.	PROPN
ejpam-3727	175	5	math	math	PROPN
ejpam-3727	175	6	,	,	PUNCT
ejpam-3727	175	7	13	13	NUM
ejpam-3727	175	8	(	(	PUNCT
ejpam-3727	175	9	3	3	NUM
ejpam-3727	175	10	)	)	PUNCT
ejpam-3727	175	11	(	(	PUNCT
ejpam-3727	175	12	2020	2020	NUM
ejpam-3727	175	13	)	)	PUNCT
ejpam-3727	175	14	,	,	PUNCT
ejpam-3727	175	15	549	549	NUM
ejpam-3727	175	16	-	-	SYM
ejpam-3727	175	17	566	566	NUM
ejpam-3727	175	18	561	561	NUM
ejpam-3727	175	19	figure	figure	NOUN
ejpam-3727	175	20	1	1	NUM
ejpam-3727	175	21	:	:	PUNCT
ejpam-3727	175	22	infectious	infectious	ADJ
ejpam-3727	175	23	figure	figure	NOUN
ejpam-3727	175	24	2	2	NUM
ejpam-3727	175	25	:	:	PUNCT
ejpam-3727	175	26	infectious	infectious	ADJ
ejpam-3727	175	27	asymptomatic	asymptomatic	ADJ
ejpam-3727	175	28	figure	figure	NOUN
ejpam-3727	175	29	3	3	NUM
ejpam-3727	175	30	:	:	PUNCT
ejpam-3727	175	31	infectious	infectious	ADJ
ejpam-3727	175	32	symptomatic	symptomatic	ADJ
ejpam-3727	175	33	figure	figure	NOUN
ejpam-3727	175	34	4	4	NUM
ejpam-3727	175	35	:	:	PUNCT
ejpam-3727	175	36	infectious	infectious	ADJ
ejpam-3727	175	37	in	in	ADP
ejpam-3727	175	38	critical	critical	ADJ
ejpam-3727	175	39	cases	case	NOUN
ejpam-3727	175	40	we	we	PRON
ejpam-3727	175	41	note	note	VERB
ejpam-3727	175	42	in	in	ADP
ejpam-3727	175	43	figure	figure	NOUN
ejpam-3727	175	44	1	1	NUM
ejpam-3727	175	45	,	,	PUNCT
ejpam-3727	175	46	that	that	SCONJ
ejpam-3727	175	47	the	the	DET
ejpam-3727	175	48	peak	peak	NOUN
ejpam-3727	175	49	of	of	ADP
ejpam-3727	175	50	the	the	DET
ejpam-3727	175	51	number	number	NOUN
ejpam-3727	175	52	of	of	ADP
ejpam-3727	175	53	infectious	infectious	ADJ
ejpam-3727	175	54	is	be	AUX
ejpam-3727	175	55	reached	reach	VERB
ejpam-3727	175	56	on	on	ADP
ejpam-3727	175	57	april	april	PROPN
ejpam-3727	175	58	18th	18th	NOUN
ejpam-3727	175	59	,	,	PUNCT
ejpam-3727	175	60	2020	2020	NUM
ejpam-3727	175	61	with	with	ADP
ejpam-3727	175	62	nearly	nearly	ADV
ejpam-3727	175	63	720	720	NUM
ejpam-3727	175	64	confirmed	confirm	VERB
ejpam-3727	175	65	cases	case	NOUN
ejpam-3727	175	66	and	and	CCONJ
ejpam-3727	175	67	the	the	DET
ejpam-3727	175	68	disease	disease	NOUN
ejpam-3727	175	69	is	be	AUX
ejpam-3727	175	70	expected	expect	VERB
ejpam-3727	175	71	to	to	PART
ejpam-3727	175	72	disappear	disappear	VERB
ejpam-3727	175	73	around	around	ADP
ejpam-3727	175	74	the	the	DET
ejpam-3727	175	75	beginning	beginning	NOUN
ejpam-3727	175	76	of	of	ADP
ejpam-3727	175	77	november	november	PROPN
ejpam-3727	175	78	2020	2020	NUM
ejpam-3727	175	79	.	.	PUNCT
ejpam-3727	176	1	here	here	ADV
ejpam-3727	176	2	the	the	DET
ejpam-3727	176	3	prevention	prevention	NOUN
ejpam-3727	176	4	measures	measure	NOUN
ejpam-3727	176	5	decreed	decree	VERB
ejpam-3727	176	6	by	by	ADP
ejpam-3727	176	7	the	the	DET
ejpam-3727	176	8	government	government	NOUN
ejpam-3727	176	9	are	be	AUX
ejpam-3727	176	10	partially	partially	ADV
ejpam-3727	176	11	respected	respect	VERB
ejpam-3727	176	12	.	.	PUNCT
ejpam-3727	177	1	we	we	PRON
ejpam-3727	177	2	note	note	VERB
ejpam-3727	177	3	in	in	ADP
ejpam-3727	177	4	figure	figure	NOUN
ejpam-3727	177	5	2	2	NUM
ejpam-3727	177	6	,	,	PUNCT
ejpam-3727	177	7	that	that	SCONJ
ejpam-3727	177	8	the	the	DET
ejpam-3727	177	9	peak	peak	NOUN
ejpam-3727	177	10	of	of	ADP
ejpam-3727	177	11	the	the	DET
ejpam-3727	177	12	number	number	NOUN
ejpam-3727	177	13	of	of	ADP
ejpam-3727	177	14	asymptomatic	asymptomatic	ADJ
ejpam-3727	177	15	infectious	infectious	ADJ
ejpam-3727	177	16	is	be	AUX
ejpam-3727	177	17	reached	reach	VERB
ejpam-3727	177	18	on	on	ADP
ejpam-3727	177	19	april	april	PROPN
ejpam-3727	177	20	18th	18th	NOUN
ejpam-3727	177	21	,	,	PUNCT
ejpam-3727	177	22	2020	2020	NUM
ejpam-3727	177	23	with	with	ADP
ejpam-3727	177	24	nearly	nearly	ADV
ejpam-3727	177	25	500	500	NUM
ejpam-3727	177	26	confirmed	confirm	VERB
ejpam-3727	177	27	cases	case	NOUN
ejpam-3727	177	28	and	and	CCONJ
ejpam-3727	177	29	the	the	DET
ejpam-3727	177	30	disease	disease	NOUN
ejpam-3727	177	31	is	be	AUX
ejpam-3727	177	32	expected	expect	VERB
ejpam-3727	177	33	to	to	PART
ejpam-3727	177	34	disappear	disappear	VERB
ejpam-3727	177	35	around	around	ADP
ejpam-3727	177	36	the	the	DET
ejpam-3727	177	37	beginning	beginning	NOUN
ejpam-3727	177	38	of	of	ADP
ejpam-3727	177	39	november	november	PROPN
ejpam-3727	177	40	2020	2020	NUM
ejpam-3727	177	41	.	.	PUNCT
ejpam-3727	178	1	here	here	ADV
ejpam-3727	178	2	the	the	DET
ejpam-3727	178	3	prevention	prevention	NOUN
ejpam-3727	178	4	measures	measure	NOUN
ejpam-3727	178	5	decreed	decree	VERB
ejpam-3727	178	6	by	by	ADP
ejpam-3727	178	7	the	the	DET
ejpam-3727	178	8	government	government	NOUN
ejpam-3727	178	9	are	be	AUX
ejpam-3727	178	10	partially	partially	ADV
ejpam-3727	178	11	respected	respect	VERB
ejpam-3727	178	12	.	.	PUNCT
ejpam-3727	179	1	we	we	PRON
ejpam-3727	179	2	note	note	VERB
ejpam-3727	179	3	in	in	ADP
ejpam-3727	179	4	figure	figure	NOUN
ejpam-3727	179	5	3	3	NUM
ejpam-3727	179	6	,	,	PUNCT
ejpam-3727	179	7	that	that	SCONJ
ejpam-3727	179	8	the	the	DET
ejpam-3727	179	9	peak	peak	NOUN
ejpam-3727	179	10	of	of	ADP
ejpam-3727	179	11	the	the	DET
ejpam-3727	179	12	number	number	NOUN
ejpam-3727	179	13	of	of	ADP
ejpam-3727	179	14	symptomatic	symptomatic	ADJ
ejpam-3727	179	15	infectious	infectious	ADJ
ejpam-3727	179	16	is	be	AUX
ejpam-3727	179	17	reached	reach	VERB
ejpam-3727	179	18	on	on	ADP
ejpam-3727	179	19	april	april	PROPN
ejpam-3727	179	20	18th	18th	NOUN
ejpam-3727	179	21	,	,	PUNCT
ejpam-3727	179	22	2020	2020	NUM
ejpam-3727	179	23	with	with	ADP
ejpam-3727	179	24	nearly	nearly	ADV
ejpam-3727	179	25	175	175	NUM
ejpam-3727	179	26	confirmed	confirm	VERB
ejpam-3727	179	27	cases	case	NOUN
ejpam-3727	179	28	and	and	CCONJ
ejpam-3727	179	29	the	the	DET
ejpam-3727	179	30	disease	disease	NOUN
ejpam-3727	179	31	is	be	AUX
ejpam-3727	179	32	expected	expect	VERB
ejpam-3727	179	33	to	to	PART
ejpam-3727	179	34	disappear	disappear	VERB
ejpam-3727	179	35	around	around	ADP
ejpam-3727	179	36	the	the	DET
ejpam-3727	179	37	beginning	beginning	NOUN
ejpam-3727	179	38	of	of	ADP
ejpam-3727	179	39	november	november	PROPN
ejpam-3727	179	40	2020	2020	NUM
ejpam-3727	179	41	.	.	PUNCT
ejpam-3727	180	1	here	here	ADV
ejpam-3727	180	2	the	the	DET
ejpam-3727	180	3	prevention	prevention	NOUN
ejpam-3727	180	4	measures	measure	NOUN
ejpam-3727	180	5	decreed	decree	VERB
ejpam-3727	180	6	by	by	ADP
ejpam-3727	180	7	the	the	DET
ejpam-3727	180	8	government	government	NOUN
ejpam-3727	180	9	are	be	AUX
ejpam-3727	180	10	partially	partially	ADV
ejpam-3727	180	11	respected	respect	VERB
ejpam-3727	180	12	.	.	PUNCT
ejpam-3727	181	1	we	we	PRON
ejpam-3727	181	2	note	note	VERB
ejpam-3727	181	3	in	in	ADP
ejpam-3727	181	4	figure	figure	NOUN
ejpam-3727	181	5	4	4	NUM
ejpam-3727	181	6	,	,	PUNCT
ejpam-3727	181	7	that	that	SCONJ
ejpam-3727	181	8	the	the	DET
ejpam-3727	181	9	peak	peak	NOUN
ejpam-3727	181	10	of	of	ADP
ejpam-3727	181	11	the	the	DET
ejpam-3727	181	12	number	number	NOUN
ejpam-3727	181	13	of	of	ADP
ejpam-3727	181	14	infectious	infectious	ADJ
ejpam-3727	181	15	respiratory	respiratory	ADJ
ejpam-3727	181	16	distress	distress	NOUN
ejpam-3727	181	17	is	be	AUX
ejpam-3727	181	18	reached	reach	VERB
ejpam-3727	181	19	on	on	ADP
ejpam-3727	181	20	may	may	PROPN
ejpam-3727	181	21	09th	09th	NUM
ejpam-3727	181	22	,	,	PUNCT
ejpam-3727	181	23	2020	2020	NUM
ejpam-3727	181	24	with	with	ADP
ejpam-3727	181	25	nearly	nearly	ADV
ejpam-3727	181	26	42	42	NUM
ejpam-3727	181	27	confirmed	confirm	VERB
ejpam-3727	181	28	cases	case	NOUN
ejpam-3727	181	29	and	and	CCONJ
ejpam-3727	181	30	the	the	DET
ejpam-3727	181	31	disease	disease	NOUN
ejpam-3727	181	32	is	be	AUX
ejpam-3727	181	33	expected	expect	VERB
ejpam-3727	181	34	to	to	PART
ejpam-3727	181	35	disappear	disappear	VERB
ejpam-3727	181	36	around	around	ADP
ejpam-3727	181	37	the	the	DET
ejpam-3727	181	38	beginning	beginning	NOUN
ejpam-3727	181	39	of	of	ADP
ejpam-3727	181	40	november	november	PROPN
ejpam-3727	181	41	2020	2020	NUM
ejpam-3727	181	42	.	.	PUNCT
ejpam-3727	182	1	here	here	ADV
ejpam-3727	182	2	the	the	DET
ejpam-3727	182	3	prevention	prevention	NOUN
ejpam-3727	182	4	measures	measure	NOUN
ejpam-3727	182	5	decreed	decree	VERB
ejpam-3727	182	6	by	by	ADP
ejpam-3727	182	7	the	the	DET
ejpam-3727	182	8	government	government	NOUN
ejpam-3727	182	9	are	be	AUX
ejpam-3727	182	10	partially	partially	ADV
ejpam-3727	182	11	respected	respect	VERB
ejpam-3727	182	12	.	.	PUNCT
ejpam-3727	183	1	(	(	PUNCT
ejpam-3727	183	2	iv	iv	X
ejpam-3727	183	3	)	)	PUNCT
ejpam-3727	183	4	r0	r0	NOUN
ejpam-3727	183	5	=	=	NOUN
ejpam-3727	183	6	0.6	0.6	NUM
ejpam-3727	183	7	β	β	X
ejpam-3727	183	8	=	=	NOUN
ejpam-3727	183	9	0.032	0.032	NUM
ejpam-3727	183	10	.	.	PUNCT
ejpam-3727	183	11	a.	a.	PROPN
ejpam-3727	183	12	m.	m.	PROPN
ejpam-3727	183	13	oumarou	oumarou	PROPN
ejpam-3727	183	14	,	,	PUNCT
ejpam-3727	183	15	s.	s.	PROPN
ejpam-3727	183	16	bisso	bisso	PROPN
ejpam-3727	183	17	/	/	SYM
ejpam-3727	183	18	eur	eur	PROPN
ejpam-3727	183	19	.	.	PUNCT
ejpam-3727	184	1	j.	j.	PROPN
ejpam-3727	184	2	pure	pure	PROPN
ejpam-3727	184	3	appl	appl	PROPN
ejpam-3727	184	4	.	.	PROPN
ejpam-3727	184	5	math	math	PROPN
ejpam-3727	184	6	,	,	PUNCT
ejpam-3727	184	7	13	13	NUM
ejpam-3727	184	8	(	(	PUNCT
ejpam-3727	184	9	3	3	NUM
ejpam-3727	184	10	)	)	PUNCT
ejpam-3727	184	11	(	(	PUNCT
ejpam-3727	184	12	2020	2020	NUM
ejpam-3727	184	13	)	)	PUNCT
ejpam-3727	184	14	,	,	PUNCT
ejpam-3727	184	15	549	549	NUM
ejpam-3727	184	16	-	-	SYM
ejpam-3727	184	17	566	566	NUM
ejpam-3727	184	18	562	562	NUM
ejpam-3727	184	19	figure	figure	NOUN
ejpam-3727	184	20	1	1	NUM
ejpam-3727	184	21	:	:	PUNCT
ejpam-3727	184	22	infectious	infectious	ADJ
ejpam-3727	184	23	figure	figure	NOUN
ejpam-3727	184	24	2	2	NUM
ejpam-3727	184	25	:	:	PUNCT
ejpam-3727	184	26	infectious	infectious	ADJ
ejpam-3727	184	27	asymptomatic	asymptomatic	ADJ
ejpam-3727	184	28	figure	figure	NOUN
ejpam-3727	184	29	3	3	NUM
ejpam-3727	184	30	:	:	PUNCT
ejpam-3727	184	31	infectious	infectious	ADJ
ejpam-3727	184	32	symptomatic	symptomatic	ADJ
ejpam-3727	184	33	figure	figure	NOUN
ejpam-3727	184	34	4	4	NUM
ejpam-3727	184	35	:	:	PUNCT
ejpam-3727	184	36	infectious	infectious	ADJ
ejpam-3727	184	37	in	in	ADP
ejpam-3727	184	38	critical	critical	ADJ
ejpam-3727	184	39	cases	case	NOUN
ejpam-3727	184	40	we	we	PRON
ejpam-3727	184	41	note	note	VERB
ejpam-3727	184	42	in	in	ADP
ejpam-3727	184	43	figure	figure	NOUN
ejpam-3727	184	44	1	1	NUM
ejpam-3727	184	45	,	,	PUNCT
ejpam-3727	184	46	that	that	SCONJ
ejpam-3727	184	47	the	the	DET
ejpam-3727	184	48	peak	peak	NOUN
ejpam-3727	184	49	of	of	ADP
ejpam-3727	184	50	the	the	DET
ejpam-3727	184	51	number	number	NOUN
ejpam-3727	184	52	of	of	ADP
ejpam-3727	184	53	infectious	infectious	ADJ
ejpam-3727	184	54	is	be	AUX
ejpam-3727	184	55	reached	reach	VERB
ejpam-3727	184	56	on	on	ADP
ejpam-3727	184	57	april	april	PROPN
ejpam-3727	184	58	18th	18th	NOUN
ejpam-3727	184	59	,	,	PUNCT
ejpam-3727	184	60	2020	2020	NUM
ejpam-3727	184	61	with	with	ADP
ejpam-3727	184	62	nearly	nearly	ADV
ejpam-3727	184	63	670	670	NUM
ejpam-3727	184	64	confirmed	confirm	VERB
ejpam-3727	184	65	cases	case	NOUN
ejpam-3727	184	66	and	and	CCONJ
ejpam-3727	184	67	the	the	DET
ejpam-3727	184	68	disease	disease	NOUN
ejpam-3727	184	69	is	be	AUX
ejpam-3727	184	70	expected	expect	VERB
ejpam-3727	184	71	to	to	PART
ejpam-3727	184	72	disappear	disappear	VERB
ejpam-3727	184	73	around	around	ADP
ejpam-3727	184	74	the	the	DET
ejpam-3727	184	75	beginning	beginning	NOUN
ejpam-3727	184	76	of	of	ADP
ejpam-3727	184	77	november	november	PROPN
ejpam-3727	184	78	2020	2020	NUM
ejpam-3727	184	79	.	.	PUNCT
ejpam-3727	185	1	here	here	ADV
ejpam-3727	185	2	the	the	DET
ejpam-3727	185	3	prevention	prevention	NOUN
ejpam-3727	185	4	measures	measure	NOUN
ejpam-3727	185	5	decreed	decree	VERB
ejpam-3727	185	6	by	by	ADP
ejpam-3727	185	7	the	the	DET
ejpam-3727	185	8	government	government	NOUN
ejpam-3727	185	9	are	be	AUX
ejpam-3727	185	10	moderately	moderately	ADV
ejpam-3727	185	11	respected	respect	VERB
ejpam-3727	185	12	.	.	PUNCT
ejpam-3727	186	1	we	we	PRON
ejpam-3727	186	2	note	note	VERB
ejpam-3727	186	3	in	in	ADP
ejpam-3727	186	4	figure	figure	NOUN
ejpam-3727	186	5	2	2	NUM
ejpam-3727	186	6	,	,	PUNCT
ejpam-3727	186	7	that	that	SCONJ
ejpam-3727	186	8	the	the	DET
ejpam-3727	186	9	peak	peak	NOUN
ejpam-3727	186	10	of	of	ADP
ejpam-3727	186	11	the	the	DET
ejpam-3727	186	12	number	number	NOUN
ejpam-3727	186	13	of	of	ADP
ejpam-3727	186	14	asymptomatic	asymptomatic	ADJ
ejpam-3727	186	15	infectious	infectious	ADJ
ejpam-3727	186	16	is	be	AUX
ejpam-3727	186	17	reached	reach	VERB
ejpam-3727	186	18	on	on	ADP
ejpam-3727	186	19	april	april	PROPN
ejpam-3727	186	20	18th	18th	NOUN
ejpam-3727	186	21	,	,	PUNCT
ejpam-3727	186	22	2020	2020	NUM
ejpam-3727	186	23	with	with	ADP
ejpam-3727	186	24	nearly	nearly	ADV
ejpam-3727	186	25	470	470	NUM
ejpam-3727	186	26	confirmed	confirm	VERB
ejpam-3727	186	27	cases	case	NOUN
ejpam-3727	186	28	and	and	CCONJ
ejpam-3727	186	29	the	the	DET
ejpam-3727	186	30	disease	disease	NOUN
ejpam-3727	186	31	is	be	AUX
ejpam-3727	186	32	expected	expect	VERB
ejpam-3727	186	33	to	to	PART
ejpam-3727	186	34	disappear	disappear	VERB
ejpam-3727	186	35	around	around	ADP
ejpam-3727	186	36	the	the	DET
ejpam-3727	186	37	beginning	beginning	NOUN
ejpam-3727	186	38	of	of	ADP
ejpam-3727	186	39	november	november	PROPN
ejpam-3727	186	40	2020	2020	NUM
ejpam-3727	186	41	.	.	PUNCT
ejpam-3727	187	1	here	here	ADV
ejpam-3727	187	2	the	the	DET
ejpam-3727	187	3	prevention	prevention	NOUN
ejpam-3727	187	4	measures	measure	NOUN
ejpam-3727	187	5	decreed	decree	VERB
ejpam-3727	187	6	by	by	ADP
ejpam-3727	187	7	the	the	DET
ejpam-3727	187	8	government	government	NOUN
ejpam-3727	187	9	are	be	AUX
ejpam-3727	187	10	moderately	moderately	ADV
ejpam-3727	187	11	respected	respect	VERB
ejpam-3727	187	12	.	.	PUNCT
ejpam-3727	188	1	we	we	PRON
ejpam-3727	188	2	note	note	VERB
ejpam-3727	188	3	in	in	ADP
ejpam-3727	188	4	figure	figure	NOUN
ejpam-3727	188	5	3	3	NUM
ejpam-3727	188	6	,	,	PUNCT
ejpam-3727	188	7	that	that	SCONJ
ejpam-3727	188	8	the	the	DET
ejpam-3727	188	9	peak	peak	NOUN
ejpam-3727	188	10	of	of	ADP
ejpam-3727	188	11	the	the	DET
ejpam-3727	188	12	number	number	NOUN
ejpam-3727	188	13	of	of	ADP
ejpam-3727	188	14	symptomatic	symptomatic	ADJ
ejpam-3727	188	15	infectious	infectious	ADJ
ejpam-3727	188	16	is	be	AUX
ejpam-3727	188	17	reached	reach	VERB
ejpam-3727	188	18	on	on	ADP
ejpam-3727	188	19	april	april	PROPN
ejpam-3727	188	20	18th	18th	NOUN
ejpam-3727	188	21	,	,	PUNCT
ejpam-3727	188	22	2020	2020	NUM
ejpam-3727	188	23	with	with	ADP
ejpam-3727	188	24	nearly	nearly	ADV
ejpam-3727	188	25	165	165	NUM
ejpam-3727	188	26	confirmed	confirm	VERB
ejpam-3727	188	27	cases	case	NOUN
ejpam-3727	188	28	and	and	CCONJ
ejpam-3727	188	29	the	the	DET
ejpam-3727	188	30	disease	disease	NOUN
ejpam-3727	188	31	is	be	AUX
ejpam-3727	188	32	expected	expect	VERB
ejpam-3727	188	33	to	to	PART
ejpam-3727	188	34	disappear	disappear	VERB
ejpam-3727	188	35	around	around	ADP
ejpam-3727	188	36	the	the	DET
ejpam-3727	188	37	beginning	beginning	NOUN
ejpam-3727	188	38	of	of	ADP
ejpam-3727	188	39	november	november	PROPN
ejpam-3727	188	40	2020	2020	NUM
ejpam-3727	188	41	.	.	PUNCT
ejpam-3727	189	1	here	here	ADV
ejpam-3727	189	2	the	the	DET
ejpam-3727	189	3	prevention	prevention	NOUN
ejpam-3727	189	4	measures	measure	NOUN
ejpam-3727	189	5	decreed	decree	VERB
ejpam-3727	189	6	by	by	ADP
ejpam-3727	189	7	the	the	DET
ejpam-3727	189	8	government	government	NOUN
ejpam-3727	189	9	are	be	AUX
ejpam-3727	189	10	moderately	moderately	ADV
ejpam-3727	189	11	respected	respect	VERB
ejpam-3727	189	12	.	.	PUNCT
ejpam-3727	190	1	we	we	PRON
ejpam-3727	190	2	note	note	VERB
ejpam-3727	190	3	in	in	ADP
ejpam-3727	190	4	figure	figure	NOUN
ejpam-3727	190	5	4	4	NUM
ejpam-3727	190	6	,	,	PUNCT
ejpam-3727	190	7	that	that	SCONJ
ejpam-3727	190	8	the	the	DET
ejpam-3727	190	9	peak	peak	NOUN
ejpam-3727	190	10	of	of	ADP
ejpam-3727	190	11	the	the	DET
ejpam-3727	190	12	number	number	NOUN
ejpam-3727	190	13	of	of	ADP
ejpam-3727	190	14	infectious	infectious	ADJ
ejpam-3727	190	15	respiratory	respiratory	ADJ
ejpam-3727	190	16	distress	distress	NOUN
ejpam-3727	190	17	is	be	AUX
ejpam-3727	190	18	reached	reach	VERB
ejpam-3727	190	19	on	on	ADP
ejpam-3727	190	20	may	may	PROPN
ejpam-3727	190	21	09th	09th	NUM
ejpam-3727	190	22	,	,	PUNCT
ejpam-3727	190	23	2020	2020	NUM
ejpam-3727	190	24	with	with	ADP
ejpam-3727	190	25	nearly	nearly	ADV
ejpam-3727	190	26	38	38	NUM
ejpam-3727	190	27	confirmed	confirm	VERB
ejpam-3727	190	28	cases	case	NOUN
ejpam-3727	190	29	and	and	CCONJ
ejpam-3727	190	30	the	the	DET
ejpam-3727	190	31	disease	disease	NOUN
ejpam-3727	190	32	is	be	AUX
ejpam-3727	190	33	expected	expect	VERB
ejpam-3727	190	34	to	to	PART
ejpam-3727	190	35	disappear	disappear	VERB
ejpam-3727	190	36	around	around	ADP
ejpam-3727	190	37	the	the	DET
ejpam-3727	190	38	beginning	beginning	NOUN
ejpam-3727	190	39	of	of	ADP
ejpam-3727	190	40	november	november	PROPN
ejpam-3727	190	41	2020	2020	NUM
ejpam-3727	190	42	.	.	PUNCT
ejpam-3727	191	1	here	here	ADV
ejpam-3727	191	2	the	the	DET
ejpam-3727	191	3	prevention	prevention	NOUN
ejpam-3727	191	4	measures	measure	NOUN
ejpam-3727	191	5	decreed	decree	VERB
ejpam-3727	191	6	by	by	ADP
ejpam-3727	191	7	the	the	DET
ejpam-3727	191	8	government	government	NOUN
ejpam-3727	191	9	are	be	AUX
ejpam-3727	191	10	moderately	moderately	ADV
ejpam-3727	191	11	respected	respect	VERB
ejpam-3727	191	12	.	.	PUNCT
ejpam-3727	192	1	(	(	PUNCT
ejpam-3727	192	2	v	v	NOUN
ejpam-3727	192	3	)	)	PUNCT
ejpam-3727	192	4	r0	r0	NOUN
ejpam-3727	192	5	=	=	NOUN
ejpam-3727	192	6	0.54	0.54	NUM
ejpam-3727	192	7	β	β	X
ejpam-3727	192	8	=	=	NOUN
ejpam-3727	192	9	0.03	0.03	NUM
ejpam-3727	192	10	.	.	PUNCT
ejpam-3727	192	11	a.	a.	PROPN
ejpam-3727	192	12	m.	m.	PROPN
ejpam-3727	192	13	oumarou	oumarou	PROPN
ejpam-3727	192	14	,	,	PUNCT
ejpam-3727	192	15	s.	s.	PROPN
ejpam-3727	192	16	bisso	bisso	PROPN
ejpam-3727	192	17	/	/	SYM
ejpam-3727	192	18	eur	eur	PROPN
ejpam-3727	192	19	.	.	PUNCT
ejpam-3727	193	1	j.	j.	PROPN
ejpam-3727	193	2	pure	pure	PROPN
ejpam-3727	193	3	appl	appl	PROPN
ejpam-3727	193	4	.	.	PROPN
ejpam-3727	193	5	math	math	PROPN
ejpam-3727	193	6	,	,	PUNCT
ejpam-3727	193	7	13	13	NUM
ejpam-3727	193	8	(	(	PUNCT
ejpam-3727	193	9	3	3	NUM
ejpam-3727	193	10	)	)	PUNCT
ejpam-3727	193	11	(	(	PUNCT
ejpam-3727	193	12	2020	2020	NUM
ejpam-3727	193	13	)	)	PUNCT
ejpam-3727	193	14	,	,	PUNCT
ejpam-3727	193	15	549	549	NUM
ejpam-3727	193	16	-	-	SYM
ejpam-3727	193	17	566	566	NUM
ejpam-3727	193	18	563	563	NUM
ejpam-3727	193	19	figure	figure	NOUN
ejpam-3727	193	20	1	1	NUM
ejpam-3727	193	21	:	:	PUNCT
ejpam-3727	193	22	infectious	infectious	ADJ
ejpam-3727	193	23	figure	figure	NOUN
ejpam-3727	193	24	2	2	NUM
ejpam-3727	193	25	:	:	PUNCT
ejpam-3727	193	26	infectious	infectious	ADJ
ejpam-3727	193	27	asymptomatic	asymptomatic	ADJ
ejpam-3727	193	28	figure	figure	NOUN
ejpam-3727	193	29	3	3	NUM
ejpam-3727	193	30	:	:	PUNCT
ejpam-3727	193	31	infectious	infectious	ADJ
ejpam-3727	193	32	symptomatic	symptomatic	ADJ
ejpam-3727	193	33	figure	figure	NOUN
ejpam-3727	193	34	4	4	NUM
ejpam-3727	193	35	:	:	PUNCT
ejpam-3727	193	36	infectious	infectious	ADJ
ejpam-3727	193	37	in	in	ADP
ejpam-3727	193	38	critical	critical	ADJ
ejpam-3727	193	39	cases	case	NOUN
ejpam-3727	193	40	we	we	PRON
ejpam-3727	193	41	note	note	VERB
ejpam-3727	193	42	in	in	ADP
ejpam-3727	193	43	figure	figure	NOUN
ejpam-3727	193	44	1	1	NUM
ejpam-3727	193	45	,	,	PUNCT
ejpam-3727	193	46	that	that	SCONJ
ejpam-3727	193	47	the	the	DET
ejpam-3727	193	48	peak	peak	NOUN
ejpam-3727	193	49	of	of	ADP
ejpam-3727	193	50	the	the	DET
ejpam-3727	193	51	number	number	NOUN
ejpam-3727	193	52	of	of	ADP
ejpam-3727	193	53	infectious	infectious	ADJ
ejpam-3727	193	54	is	be	AUX
ejpam-3727	193	55	reached	reach	VERB
ejpam-3727	193	56	on	on	ADP
ejpam-3727	193	57	april	april	PROPN
ejpam-3727	193	58	18th	18th	NOUN
ejpam-3727	193	59	,	,	PUNCT
ejpam-3727	193	60	2020	2020	NUM
ejpam-3727	193	61	with	with	ADP
ejpam-3727	193	62	nearly	nearly	ADV
ejpam-3727	193	63	630	630	NUM
ejpam-3727	193	64	confirmed	confirm	VERB
ejpam-3727	193	65	cases	case	NOUN
ejpam-3727	193	66	and	and	CCONJ
ejpam-3727	193	67	the	the	DET
ejpam-3727	193	68	disease	disease	NOUN
ejpam-3727	193	69	is	be	AUX
ejpam-3727	193	70	expected	expect	VERB
ejpam-3727	193	71	to	to	PART
ejpam-3727	193	72	disappear	disappear	VERB
ejpam-3727	193	73	around	around	ADP
ejpam-3727	193	74	the	the	DET
ejpam-3727	193	75	end	end	NOUN
ejpam-3727	193	76	of	of	ADP
ejpam-3727	193	77	october	october	PROPN
ejpam-3727	193	78	2020	2020	NUM
ejpam-3727	193	79	.	.	PUNCT
ejpam-3727	194	1	here	here	ADV
ejpam-3727	194	2	the	the	DET
ejpam-3727	194	3	prevention	prevention	NOUN
ejpam-3727	194	4	measures	measure	NOUN
ejpam-3727	194	5	decreed	decree	VERB
ejpam-3727	194	6	by	by	ADP
ejpam-3727	194	7	the	the	DET
ejpam-3727	194	8	government	government	NOUN
ejpam-3727	194	9	are	be	AUX
ejpam-3727	194	10	mostly	mostly	ADV
ejpam-3727	194	11	respected	respect	VERB
ejpam-3727	194	12	.	.	PUNCT
ejpam-3727	195	1	we	we	PRON
ejpam-3727	195	2	note	note	VERB
ejpam-3727	195	3	in	in	ADP
ejpam-3727	195	4	figure	figure	NOUN
ejpam-3727	195	5	2	2	NUM
ejpam-3727	195	6	,	,	PUNCT
ejpam-3727	195	7	that	that	SCONJ
ejpam-3727	195	8	the	the	DET
ejpam-3727	195	9	peak	peak	NOUN
ejpam-3727	195	10	of	of	ADP
ejpam-3727	195	11	the	the	DET
ejpam-3727	195	12	number	number	NOUN
ejpam-3727	195	13	of	of	ADP
ejpam-3727	195	14	asymptomatic	asymptomatic	ADJ
ejpam-3727	195	15	infectious	infectious	ADJ
ejpam-3727	195	16	is	be	AUX
ejpam-3727	195	17	reached	reach	VERB
ejpam-3727	195	18	on	on	ADP
ejpam-3727	195	19	april	april	PROPN
ejpam-3727	195	20	18th	18th	NOUN
ejpam-3727	195	21	,	,	PUNCT
ejpam-3727	195	22	2020	2020	NUM
ejpam-3727	195	23	with	with	ADP
ejpam-3727	195	24	nearly	nearly	ADV
ejpam-3727	195	25	460	460	NUM
ejpam-3727	195	26	confirmed	confirm	VERB
ejpam-3727	195	27	cases	case	NOUN
ejpam-3727	195	28	and	and	CCONJ
ejpam-3727	195	29	the	the	DET
ejpam-3727	195	30	disease	disease	NOUN
ejpam-3727	195	31	is	be	AUX
ejpam-3727	195	32	expected	expect	VERB
ejpam-3727	195	33	to	to	PART
ejpam-3727	195	34	disappear	disappear	VERB
ejpam-3727	195	35	around	around	ADP
ejpam-3727	195	36	the	the	DET
ejpam-3727	195	37	end	end	NOUN
ejpam-3727	195	38	of	of	ADP
ejpam-3727	195	39	october	october	PROPN
ejpam-3727	195	40	2020	2020	NUM
ejpam-3727	195	41	.	.	PUNCT
ejpam-3727	196	1	here	here	ADV
ejpam-3727	196	2	the	the	DET
ejpam-3727	196	3	prevention	prevention	NOUN
ejpam-3727	196	4	measures	measure	NOUN
ejpam-3727	196	5	decreed	decree	VERB
ejpam-3727	196	6	by	by	ADP
ejpam-3727	196	7	the	the	DET
ejpam-3727	196	8	government	government	NOUN
ejpam-3727	196	9	are	be	AUX
ejpam-3727	196	10	mostly	mostly	ADV
ejpam-3727	196	11	respected	respect	VERB
ejpam-3727	196	12	.	.	PUNCT
ejpam-3727	197	1	we	we	PRON
ejpam-3727	197	2	note	note	VERB
ejpam-3727	197	3	in	in	ADP
ejpam-3727	197	4	figure	figure	NOUN
ejpam-3727	197	5	3	3	NUM
ejpam-3727	197	6	,	,	PUNCT
ejpam-3727	197	7	that	that	SCONJ
ejpam-3727	197	8	the	the	DET
ejpam-3727	197	9	peak	peak	NOUN
ejpam-3727	197	10	of	of	ADP
ejpam-3727	197	11	the	the	DET
ejpam-3727	197	12	number	number	NOUN
ejpam-3727	197	13	of	of	ADP
ejpam-3727	197	14	symptomatic	symptomatic	ADJ
ejpam-3727	197	15	infectious	infectious	ADJ
ejpam-3727	197	16	is	be	AUX
ejpam-3727	197	17	reached	reach	VERB
ejpam-3727	197	18	on	on	ADP
ejpam-3727	197	19	april	april	PROPN
ejpam-3727	197	20	18th	18th	NOUN
ejpam-3727	197	21	,	,	PUNCT
ejpam-3727	197	22	2020	2020	NUM
ejpam-3727	197	23	with	with	ADP
ejpam-3727	197	24	nearly	nearly	ADV
ejpam-3727	197	25	160	160	NUM
ejpam-3727	197	26	confirmed	confirm	VERB
ejpam-3727	197	27	cases	case	NOUN
ejpam-3727	197	28	and	and	CCONJ
ejpam-3727	197	29	the	the	DET
ejpam-3727	197	30	disease	disease	NOUN
ejpam-3727	197	31	is	be	AUX
ejpam-3727	197	32	expected	expect	VERB
ejpam-3727	197	33	to	to	PART
ejpam-3727	197	34	disappear	disappear	VERB
ejpam-3727	197	35	around	around	ADP
ejpam-3727	197	36	the	the	DET
ejpam-3727	197	37	end	end	NOUN
ejpam-3727	197	38	of	of	ADP
ejpam-3727	197	39	october	october	PROPN
ejpam-3727	197	40	2020	2020	NUM
ejpam-3727	197	41	.	.	PUNCT
ejpam-3727	198	1	here	here	ADV
ejpam-3727	198	2	the	the	DET
ejpam-3727	198	3	prevention	prevention	NOUN
ejpam-3727	198	4	measures	measure	NOUN
ejpam-3727	198	5	decreed	decree	VERB
ejpam-3727	198	6	by	by	ADP
ejpam-3727	198	7	the	the	DET
ejpam-3727	198	8	government	government	NOUN
ejpam-3727	198	9	are	be	AUX
ejpam-3727	198	10	mostly	mostly	ADV
ejpam-3727	198	11	respected	respect	VERB
ejpam-3727	198	12	.	.	PUNCT
ejpam-3727	199	1	we	we	PRON
ejpam-3727	199	2	note	note	VERB
ejpam-3727	199	3	in	in	ADP
ejpam-3727	199	4	figure	figure	NOUN
ejpam-3727	199	5	4	4	NUM
ejpam-3727	199	6	,	,	PUNCT
ejpam-3727	199	7	that	that	SCONJ
ejpam-3727	199	8	the	the	DET
ejpam-3727	199	9	peak	peak	NOUN
ejpam-3727	199	10	of	of	ADP
ejpam-3727	199	11	the	the	DET
ejpam-3727	199	12	number	number	NOUN
ejpam-3727	199	13	of	of	ADP
ejpam-3727	199	14	infectious	infectious	ADJ
ejpam-3727	199	15	respiratory	respiratory	ADJ
ejpam-3727	199	16	distress	distress	NOUN
ejpam-3727	199	17	is	be	AUX
ejpam-3727	199	18	reached	reach	VERB
ejpam-3727	199	19	on	on	ADP
ejpam-3727	199	20	may	may	PROPN
ejpam-3727	199	21	09th	09th	NUM
ejpam-3727	199	22	,	,	PUNCT
ejpam-3727	199	23	2020	2020	NUM
ejpam-3727	199	24	with	with	ADP
ejpam-3727	199	25	nearly	nearly	ADV
ejpam-3727	199	26	37	37	NUM
ejpam-3727	199	27	confirmed	confirm	VERB
ejpam-3727	199	28	cases	case	NOUN
ejpam-3727	199	29	and	and	CCONJ
ejpam-3727	199	30	the	the	DET
ejpam-3727	199	31	disease	disease	NOUN
ejpam-3727	199	32	is	be	AUX
ejpam-3727	199	33	expected	expect	VERB
ejpam-3727	199	34	to	to	PART
ejpam-3727	199	35	disappear	disappear	VERB
ejpam-3727	199	36	around	around	ADP
ejpam-3727	199	37	the	the	DET
ejpam-3727	199	38	end	end	NOUN
ejpam-3727	199	39	of	of	ADP
ejpam-3727	199	40	october	october	PROPN
ejpam-3727	199	41	2020	2020	NUM
ejpam-3727	199	42	.	.	PUNCT
ejpam-3727	200	1	here	here	ADV
ejpam-3727	200	2	the	the	DET
ejpam-3727	200	3	prevention	prevention	NOUN
ejpam-3727	200	4	measures	measure	NOUN
ejpam-3727	200	5	decreed	decree	VERB
ejpam-3727	200	6	by	by	ADP
ejpam-3727	200	7	the	the	DET
ejpam-3727	200	8	government	government	NOUN
ejpam-3727	200	9	are	be	AUX
ejpam-3727	200	10	mostly	mostly	ADV
ejpam-3727	200	11	respected	respect	VERB
ejpam-3727	200	12	.	.	PUNCT
ejpam-3727	201	1	a.	a.	PROPN
ejpam-3727	201	2	m.	m.	PROPN
ejpam-3727	201	3	oumarou	oumarou	PROPN
ejpam-3727	201	4	,	,	PUNCT
ejpam-3727	201	5	s.	s.	PROPN
ejpam-3727	201	6	bisso	bisso	PROPN
ejpam-3727	201	7	/	/	SYM
ejpam-3727	201	8	eur	eur	PROPN
ejpam-3727	201	9	.	.	PUNCT
ejpam-3727	202	1	j.	j.	PROPN
ejpam-3727	202	2	pure	pure	PROPN
ejpam-3727	202	3	appl	appl	PROPN
ejpam-3727	202	4	.	.	PROPN
ejpam-3727	202	5	math	math	PROPN
ejpam-3727	202	6	,	,	PUNCT
ejpam-3727	202	7	13	13	NUM
ejpam-3727	202	8	(	(	PUNCT
ejpam-3727	202	9	3	3	NUM
ejpam-3727	202	10	)	)	PUNCT
ejpam-3727	202	11	(	(	PUNCT
ejpam-3727	202	12	2020	2020	NUM
ejpam-3727	202	13	)	)	PUNCT
ejpam-3727	202	14	,	,	PUNCT
ejpam-3727	202	15	549	549	NUM
ejpam-3727	202	16	-	-	SYM
ejpam-3727	202	17	566	566	NUM
ejpam-3727	202	18	564	564	NUM
ejpam-3727	202	19	(	(	PUNCT
ejpam-3727	202	20	vi	vi	NOUN
ejpam-3727	202	21	)	)	PUNCT
ejpam-3727	202	22	r0	r0	NOUN
ejpam-3727	202	23	=	=	PUNCT
ejpam-3727	202	24	0.36	0.36	NUM
ejpam-3727	202	25	β	β	X
ejpam-3727	202	26	=	=	NOUN
ejpam-3727	202	27	0.02	0.02	NUM
ejpam-3727	202	28	.	.	PUNCT
ejpam-3727	203	1	figure	figure	NOUN
ejpam-3727	203	2	1	1	NUM
ejpam-3727	203	3	:	:	PUNCT
ejpam-3727	203	4	infectious	infectious	ADJ
ejpam-3727	203	5	figure	figure	NOUN
ejpam-3727	203	6	2	2	NUM
ejpam-3727	203	7	:	:	PUNCT
ejpam-3727	203	8	infectious	infectious	ADJ
ejpam-3727	203	9	asymptomatic	asymptomatic	ADJ
ejpam-3727	203	10	figure	figure	NOUN
ejpam-3727	203	11	3	3	NUM
ejpam-3727	203	12	:	:	PUNCT
ejpam-3727	203	13	infectious	infectious	ADJ
ejpam-3727	203	14	symptomatic	symptomatic	ADJ
ejpam-3727	203	15	figure	figure	NOUN
ejpam-3727	203	16	4	4	NUM
ejpam-3727	203	17	:	:	PUNCT
ejpam-3727	203	18	infectious	infectious	ADJ
ejpam-3727	203	19	in	in	ADP
ejpam-3727	203	20	critical	critical	ADJ
ejpam-3727	203	21	cases	case	NOUN
ejpam-3727	203	22	we	we	PRON
ejpam-3727	203	23	note	note	VERB
ejpam-3727	203	24	in	in	ADP
ejpam-3727	203	25	figure	figure	NOUN
ejpam-3727	203	26	1	1	NUM
ejpam-3727	203	27	,	,	PUNCT
ejpam-3727	203	28	that	that	SCONJ
ejpam-3727	203	29	the	the	DET
ejpam-3727	203	30	peak	peak	NOUN
ejpam-3727	203	31	of	of	ADP
ejpam-3727	203	32	the	the	DET
ejpam-3727	203	33	number	number	NOUN
ejpam-3727	203	34	of	of	ADP
ejpam-3727	203	35	infectious	infectious	ADJ
ejpam-3727	203	36	is	be	AUX
ejpam-3727	203	37	reached	reach	VERB
ejpam-3727	203	38	on	on	ADP
ejpam-3727	203	39	april	april	PROPN
ejpam-3727	203	40	18th	18th	NOUN
ejpam-3727	203	41	,	,	PUNCT
ejpam-3727	203	42	2020	2020	NUM
ejpam-3727	203	43	with	with	ADP
ejpam-3727	203	44	nearly	nearly	ADV
ejpam-3727	203	45	460	460	NUM
ejpam-3727	203	46	confirmed	confirm	VERB
ejpam-3727	203	47	cases	case	NOUN
ejpam-3727	203	48	and	and	CCONJ
ejpam-3727	203	49	the	the	DET
ejpam-3727	203	50	disease	disease	NOUN
ejpam-3727	203	51	is	be	AUX
ejpam-3727	203	52	expected	expect	VERB
ejpam-3727	203	53	to	to	PART
ejpam-3727	203	54	disappear	disappear	VERB
ejpam-3727	203	55	around	around	ADP
ejpam-3727	203	56	the	the	DET
ejpam-3727	203	57	end	end	NOUN
ejpam-3727	203	58	of	of	ADP
ejpam-3727	203	59	august	august	PROPN
ejpam-3727	203	60	2020	2020	NUM
ejpam-3727	203	61	.	.	PUNCT
ejpam-3727	204	1	here	here	ADV
ejpam-3727	204	2	the	the	DET
ejpam-3727	204	3	prevention	prevention	NOUN
ejpam-3727	204	4	measures	measure	NOUN
ejpam-3727	204	5	decreed	decree	VERB
ejpam-3727	204	6	by	by	ADP
ejpam-3727	204	7	the	the	DET
ejpam-3727	204	8	government	government	NOUN
ejpam-3727	204	9	are	be	AUX
ejpam-3727	204	10	totally	totally	ADV
ejpam-3727	204	11	respected	respected	ADJ
ejpam-3727	204	12	.	.	PUNCT
ejpam-3727	205	1	we	we	PRON
ejpam-3727	205	2	note	note	VERB
ejpam-3727	205	3	in	in	ADP
ejpam-3727	205	4	figure	figure	NOUN
ejpam-3727	205	5	2	2	NUM
ejpam-3727	205	6	,	,	PUNCT
ejpam-3727	205	7	that	that	SCONJ
ejpam-3727	205	8	the	the	DET
ejpam-3727	205	9	peak	peak	NOUN
ejpam-3727	205	10	of	of	ADP
ejpam-3727	205	11	the	the	DET
ejpam-3727	205	12	number	number	NOUN
ejpam-3727	205	13	of	of	ADP
ejpam-3727	205	14	asymptomatic	asymptomatic	ADJ
ejpam-3727	205	15	infectious	infectious	ADJ
ejpam-3727	205	16	is	be	AUX
ejpam-3727	205	17	reached	reach	VERB
ejpam-3727	205	18	on	on	ADP
ejpam-3727	205	19	april	april	PROPN
ejpam-3727	205	20	18th	18th	NOUN
ejpam-3727	205	21	,	,	PUNCT
ejpam-3727	205	22	2020	2020	NUM
ejpam-3727	205	23	with	with	ADP
ejpam-3727	205	24	nearly	nearly	ADV
ejpam-3727	205	25	390	390	NUM
ejpam-3727	205	26	confirmed	confirm	VERB
ejpam-3727	205	27	cases	case	NOUN
ejpam-3727	205	28	and	and	CCONJ
ejpam-3727	205	29	the	the	DET
ejpam-3727	205	30	disease	disease	NOUN
ejpam-3727	205	31	is	be	AUX
ejpam-3727	205	32	expected	expect	VERB
ejpam-3727	205	33	to	to	PART
ejpam-3727	205	34	disappear	disappear	VERB
ejpam-3727	205	35	around	around	ADP
ejpam-3727	205	36	the	the	DET
ejpam-3727	205	37	end	end	NOUN
ejpam-3727	205	38	of	of	ADP
ejpam-3727	205	39	august	august	PROPN
ejpam-3727	205	40	2020	2020	NUM
ejpam-3727	205	41	.	.	PUNCT
ejpam-3727	206	1	here	here	ADV
ejpam-3727	206	2	the	the	DET
ejpam-3727	206	3	prevention	prevention	NOUN
ejpam-3727	206	4	measures	measure	NOUN
ejpam-3727	206	5	decreed	decree	VERB
ejpam-3727	206	6	by	by	ADP
ejpam-3727	206	7	the	the	DET
ejpam-3727	206	8	government	government	NOUN
ejpam-3727	206	9	are	be	AUX
ejpam-3727	206	10	totally	totally	ADV
ejpam-3727	206	11	respected	respected	ADJ
ejpam-3727	206	12	.	.	PUNCT
ejpam-3727	207	1	we	we	PRON
ejpam-3727	207	2	note	note	VERB
ejpam-3727	207	3	in	in	ADP
ejpam-3727	207	4	figure	figure	NOUN
ejpam-3727	207	5	3	3	NUM
ejpam-3727	207	6	,	,	PUNCT
ejpam-3727	207	7	that	that	SCONJ
ejpam-3727	207	8	the	the	DET
ejpam-3727	207	9	peak	peak	NOUN
ejpam-3727	207	10	of	of	ADP
ejpam-3727	207	11	the	the	DET
ejpam-3727	207	12	number	number	NOUN
ejpam-3727	207	13	of	of	ADP
ejpam-3727	207	14	symptomatic	symptomatic	ADJ
ejpam-3727	207	15	infectious	infectious	ADJ
ejpam-3727	207	16	is	be	AUX
ejpam-3727	207	17	reached	reach	VERB
ejpam-3727	207	18	on	on	ADP
ejpam-3727	207	19	april	april	PROPN
ejpam-3727	207	20	18th	18th	NOUN
ejpam-3727	207	21	,	,	PUNCT
ejpam-3727	207	22	2020	2020	NUM
ejpam-3727	207	23	with	with	ADP
ejpam-3727	207	24	nearly	nearly	ADV
ejpam-3727	207	25	135	135	NUM
ejpam-3727	207	26	confirmed	confirm	VERB
ejpam-3727	207	27	cases	case	NOUN
ejpam-3727	207	28	and	and	CCONJ
ejpam-3727	207	29	the	the	DET
ejpam-3727	207	30	disease	disease	NOUN
ejpam-3727	207	31	is	be	AUX
ejpam-3727	207	32	expected	expect	VERB
ejpam-3727	207	33	to	to	PART
ejpam-3727	207	34	disappear	disappear	VERB
ejpam-3727	207	35	around	around	ADP
ejpam-3727	207	36	the	the	DET
ejpam-3727	207	37	end	end	NOUN
ejpam-3727	207	38	of	of	ADP
ejpam-3727	207	39	august	august	PROPN
ejpam-3727	207	40	2020	2020	NUM
ejpam-3727	207	41	.	.	PUNCT
ejpam-3727	208	1	here	here	ADV
ejpam-3727	208	2	the	the	DET
ejpam-3727	208	3	prevention	prevention	NOUN
ejpam-3727	208	4	measures	measure	NOUN
ejpam-3727	208	5	decreed	decree	VERB
ejpam-3727	208	6	by	by	ADP
ejpam-3727	208	7	the	the	DET
ejpam-3727	208	8	government	government	NOUN
ejpam-3727	208	9	are	be	AUX
ejpam-3727	208	10	totally	totally	ADV
ejpam-3727	208	11	respected	respected	ADJ
ejpam-3727	208	12	.	.	PUNCT
ejpam-3727	209	1	we	we	PRON
ejpam-3727	209	2	note	note	VERB
ejpam-3727	209	3	in	in	ADP
ejpam-3727	209	4	figure	figure	NOUN
ejpam-3727	209	5	4	4	NUM
ejpam-3727	209	6	,	,	PUNCT
ejpam-3727	209	7	that	that	SCONJ
ejpam-3727	209	8	the	the	DET
ejpam-3727	209	9	peak	peak	NOUN
ejpam-3727	209	10	of	of	ADP
ejpam-3727	209	11	the	the	DET
ejpam-3727	209	12	number	number	NOUN
ejpam-3727	209	13	of	of	ADP
ejpam-3727	209	14	infectious	infectious	ADJ
ejpam-3727	209	15	respiratory	respiratory	ADJ
ejpam-3727	209	16	distress	distress	NOUN
ejpam-3727	209	17	is	be	AUX
ejpam-3727	209	18	reached	reach	VERB
ejpam-3727	209	19	on	on	ADP
ejpam-3727	209	20	may	may	PROPN
ejpam-3727	209	21	09th	09th	NUM
ejpam-3727	209	22	,	,	PUNCT
ejpam-3727	209	23	2020	2020	NUM
ejpam-3727	209	24	with	with	ADP
ejpam-3727	209	25	nearly	nearly	ADV
ejpam-3727	209	26	32	32	NUM
ejpam-3727	209	27	confirmed	confirm	VERB
ejpam-3727	209	28	cases	case	NOUN
ejpam-3727	209	29	and	and	CCONJ
ejpam-3727	209	30	the	the	DET
ejpam-3727	209	31	disease	disease	NOUN
ejpam-3727	209	32	is	be	AUX
ejpam-3727	209	33	expected	expect	VERB
ejpam-3727	209	34	to	to	PART
ejpam-3727	209	35	disappear	disappear	VERB
ejpam-3727	209	36	around	around	ADP
ejpam-3727	209	37	the	the	DET
ejpam-3727	209	38	end	end	NOUN
ejpam-3727	209	39	of	of	ADP
ejpam-3727	209	40	october	october	PROPN
ejpam-3727	209	41	2020	2020	NUM
ejpam-3727	209	42	.	.	PUNCT
ejpam-3727	210	1	here	here	ADV
ejpam-3727	210	2	the	the	DET
ejpam-3727	210	3	prevention	prevention	NOUN
ejpam-3727	210	4	measures	measure	NOUN
ejpam-3727	210	5	decreed	decree	VERB
ejpam-3727	210	6	by	by	ADP
ejpam-3727	210	7	the	the	DET
ejpam-3727	210	8	government	government	NOUN
ejpam-3727	210	9	are	be	AUX
ejpam-3727	210	10	totally	totally	ADV
ejpam-3727	210	11	respected	respected	ADJ
ejpam-3727	210	12	.	.	PUNCT
ejpam-3727	211	1	references	reference	NOUN
ejpam-3727	211	2	565	565	NUM
ejpam-3727	211	3	7	7	NUM
ejpam-3727	211	4	.	.	PUNCT
ejpam-3727	212	1	conclusion	conclusion	NOUN
ejpam-3727	212	2	we	we	PRON
ejpam-3727	212	3	analyse	analyse	VERB
ejpam-3727	212	4	and	and	CCONJ
ejpam-3727	212	5	propose	propose	VERB
ejpam-3727	212	6	measures	measure	NOUN
ejpam-3727	212	7	to	to	ADP
ejpam-3727	212	8	government	government	NOUN
ejpam-3727	212	9	to	to	PART
ejpam-3727	212	10	help	help	VERB
ejpam-3727	212	11	them	they	PRON
ejpam-3727	212	12	in	in	ADP
ejpam-3727	212	13	their	their	PRON
ejpam-3727	212	14	decision	decision	NOUN
ejpam-3727	212	15	-	-	PUNCT
ejpam-3727	212	16	making	making	NOUN
ejpam-3727	212	17	in	in	ADP
ejpam-3727	212	18	the	the	DET
ejpam-3727	212	19	response	response	NOUN
ejpam-3727	212	20	to	to	ADP
ejpam-3727	212	21	the	the	DET
ejpam-3727	212	22	disease	disease	NOUN
ejpam-3727	212	23	.	.	PUNCT
ejpam-3727	213	1	in	in	ADP
ejpam-3727	213	2	the	the	DET
ejpam-3727	213	3	cases	case	NOUN
ejpam-3727	213	4	where	where	SCONJ
ejpam-3727	213	5	r0	r0	NOUN
ejpam-3727	213	6	>	>	X
ejpam-3727	213	7	1	1	NUM
ejpam-3727	213	8	the	the	DET
ejpam-3727	213	9	disease	disease	NOUN
ejpam-3727	213	10	will	will	AUX
ejpam-3727	213	11	persist	persist	VERB
ejpam-3727	213	12	in	in	ADP
ejpam-3727	213	13	the	the	DET
ejpam-3727	213	14	population	population	NOUN
ejpam-3727	213	15	,	,	PUNCT
ejpam-3727	213	16	but	but	CCONJ
ejpam-3727	213	17	the	the	DET
ejpam-3727	213	18	collective	collective	ADJ
ejpam-3727	213	19	immunity	immunity	NOUN
ejpam-3727	213	20	will	will	AUX
ejpam-3727	213	21	be	be	AUX
ejpam-3727	213	22	reached	reach	VERB
ejpam-3727	213	23	around	around	ADP
ejpam-3727	213	24	end	end	NOUN
ejpam-3727	213	25	of	of	ADP
ejpam-3727	213	26	june	june	PROPN
ejpam-3727	213	27	and	and	CCONJ
ejpam-3727	213	28	end	end	NOUN
ejpam-3727	213	29	of	of	ADP
ejpam-3727	213	30	september	september	PROPN
ejpam-3727	213	31	without	without	ADP
ejpam-3727	213	32	any	any	DET
ejpam-3727	213	33	prevention	prevention	NOUN
ejpam-3727	213	34	measures	measure	NOUN
ejpam-3727	213	35	with	with	ADP
ejpam-3727	213	36	thousands	thousand	NOUN
ejpam-3727	213	37	of	of	ADP
ejpam-3727	213	38	deaths	death	NOUN
ejpam-3727	213	39	.	.	PUNCT
ejpam-3727	214	1	we	we	PRON
ejpam-3727	214	2	established	establish	VERB
ejpam-3727	214	3	that	that	SCONJ
ejpam-3727	214	4	if	if	SCONJ
ejpam-3727	214	5	the	the	DET
ejpam-3727	214	6	contact	contact	NOUN
ejpam-3727	214	7	rate	rate	NOUN
ejpam-3727	214	8	is	be	AUX
ejpam-3727	214	9	large	large	ADJ
ejpam-3727	214	10	then	then	ADV
ejpam-3727	214	11	the	the	DET
ejpam-3727	214	12	basic	basic	ADJ
ejpam-3727	214	13	reproductive	reproductive	ADJ
ejpam-3727	214	14	number	number	NOUN
ejpam-3727	214	15	increase	increase	NOUN
ejpam-3727	214	16	,	,	PUNCT
ejpam-3727	214	17	so	so	CCONJ
ejpam-3727	214	18	the	the	DET
ejpam-3727	214	19	disease	disease	NOUN
ejpam-3727	214	20	will	will	AUX
ejpam-3727	214	21	persist	persist	VERB
ejpam-3727	214	22	in	in	ADP
ejpam-3727	214	23	the	the	DET
ejpam-3727	214	24	population	population	NOUN
ejpam-3727	214	25	.	.	PUNCT
ejpam-3727	215	1	the	the	DET
ejpam-3727	215	2	model	model	NOUN
ejpam-3727	215	3	allows	allow	VERB
ejpam-3727	215	4	us	we	PRON
ejpam-3727	215	5	to	to	PART
ejpam-3727	215	6	predict	predict	VERB
ejpam-3727	215	7	the	the	DET
ejpam-3727	215	8	number	number	NOUN
ejpam-3727	215	9	of	of	ADP
ejpam-3727	215	10	active	active	ADJ
ejpam-3727	215	11	infected	infected	ADJ
ejpam-3727	215	12	people	people	NOUN
ejpam-3727	215	13	over	over	ADP
ejpam-3727	215	14	time	time	NOUN
ejpam-3727	215	15	and	and	CCONJ
ejpam-3727	215	16	to	to	PART
ejpam-3727	215	17	see	see	VERB
ejpam-3727	215	18	the	the	DET
ejpam-3727	215	19	effect	effect	NOUN
ejpam-3727	215	20	of	of	ADP
ejpam-3727	215	21	the	the	DET
ejpam-3727	215	22	measures	measure	NOUN
ejpam-3727	215	23	decreed	decree	VERB
ejpam-3727	215	24	by	by	ADP
ejpam-3727	215	25	the	the	DET
ejpam-3727	215	26	government	government	NOUN
ejpam-3727	215	27	on	on	ADP
ejpam-3727	215	28	the	the	DET
ejpam-3727	215	29	dynamics	dynamic	NOUN
ejpam-3727	215	30	of	of	ADP
ejpam-3727	215	31	the	the	DET
ejpam-3727	215	32	disease	disease	NOUN
ejpam-3727	215	33	.	.	PUNCT
ejpam-3727	216	1	at	at	ADP
ejpam-3727	216	2	this	this	DET
ejpam-3727	216	3	time	time	NOUN
ejpam-3727	216	4	,	,	PUNCT
ejpam-3727	216	5	the	the	DET
ejpam-3727	216	6	reproductive	reproductive	ADJ
ejpam-3727	216	7	number	number	NOUN
ejpam-3727	216	8	in	in	ADP
ejpam-3727	216	9	niger	niger	NOUN
ejpam-3727	216	10	case	case	NOUN
ejpam-3727	216	11	is	be	AUX
ejpam-3727	216	12	around	around	ADV
ejpam-3727	216	13	0.6	0.6	NUM
ejpam-3727	216	14	so	so	SCONJ
ejpam-3727	216	15	that	that	SCONJ
ejpam-3727	216	16	r0	r0	NOUN
ejpam-3727	216	17	<	<	X
ejpam-3727	216	18	1	1	NUM
ejpam-3727	216	19	.	.	PUNCT
ejpam-3727	216	20	to	to	PART
ejpam-3727	216	21	overcome	overcome	VERB
ejpam-3727	216	22	the	the	DET
ejpam-3727	216	23	disease	disease	NOUN
ejpam-3727	216	24	,	,	PUNCT
ejpam-3727	216	25	we	we	PRON
ejpam-3727	216	26	propose	propose	VERB
ejpam-3727	216	27	:	:	PUNCT
ejpam-3727	216	28	•	•	ADP
ejpam-3727	216	29	intensify	intensify	VERB
ejpam-3727	216	30	communications	communication	NOUN
ejpam-3727	216	31	,	,	PUNCT
ejpam-3727	216	32	in	in	ADP
ejpam-3727	216	33	particular	particular	ADJ
ejpam-3727	216	34	by	by	ADP
ejpam-3727	216	35	calling	call	VERB
ejpam-3727	216	36	to	to	ADP
ejpam-3727	216	37	the	the	DET
ejpam-3727	216	38	scientists	scientist	NOUN
ejpam-3727	216	39	committee	committee	NOUN
ejpam-3727	216	40	,	,	PUNCT
ejpam-3727	216	41	religious	religious	ADJ
ejpam-3727	216	42	leaders	leader	NOUN
ejpam-3727	216	43	and	and	CCONJ
ejpam-3727	216	44	recovered	recover	VERB
ejpam-3727	216	45	peoples	people	NOUN
ejpam-3727	216	46	.	.	PUNCT
ejpam-3727	217	1	•	•	NUM
ejpam-3727	217	2	make	make	VERB
ejpam-3727	217	3	wearing	wear	VERB
ejpam-3727	217	4	of	of	ADP
ejpam-3727	217	5	mask	mask	NOUN
ejpam-3727	217	6	compulsory	compulsory	NOUN
ejpam-3727	217	7	in	in	ADP
ejpam-3727	217	8	public	public	ADJ
ejpam-3727	217	9	places	place	NOUN
ejpam-3727	217	10	.	.	PUNCT
ejpam-3727	218	1	•	•	NUM
ejpam-3727	218	2	isolate	isolate	VERB
ejpam-3727	218	3	all	all	DET
ejpam-3727	218	4	suspected	suspect	VERB
ejpam-3727	218	5	cases	case	NOUN
ejpam-3727	218	6	with	with	ADP
ejpam-3727	218	7	the	the	DET
ejpam-3727	218	8	collaboration	collaboration	NOUN
ejpam-3727	218	9	of	of	ADP
ejpam-3727	218	10	the	the	DET
ejpam-3727	218	11	population	population	NOUN
ejpam-3727	218	12	to	to	PART
ejpam-3727	218	13	avoid	avoid	VERB
ejpam-3727	218	14	community	community	NOUN
ejpam-3727	218	15	contamination	contamination	NOUN
ejpam-3727	218	16	.	.	PUNCT
ejpam-3727	219	1	•	•	NUM
ejpam-3727	219	2	more	more	ADJ
ejpam-3727	219	3	investment	investment	NOUN
ejpam-3727	219	4	in	in	ADP
ejpam-3727	219	5	scientific	scientific	ADJ
ejpam-3727	219	6	research	research	NOUN
ejpam-3727	219	7	for	for	ADP
ejpam-3727	219	8	anticipating	anticipate	VERB
ejpam-3727	219	9	the	the	DET
ejpam-3727	219	10	responses	response	NOUN
ejpam-3727	219	11	to	to	PART
ejpam-3727	219	12	bring	bring	VERB
ejpam-3727	219	13	to	to	ADP
ejpam-3727	219	14	the	the	DET
ejpam-3727	219	15	challenges	challenge	NOUN
ejpam-3727	219	16	of	of	ADP
ejpam-3727	219	17	tomorrow	tomorrow	NOUN
ejpam-3727	219	18	.	.	PUNCT
ejpam-3727	220	1	acknowledgements	acknowledgement	NOUN
ejpam-3727	220	2	we	we	PRON
ejpam-3727	220	3	would	would	AUX
ejpam-3727	220	4	like	like	VERB
ejpam-3727	220	5	to	to	PART
ejpam-3727	220	6	thank	thank	VERB
ejpam-3727	220	7	our	our	PRON
ejpam-3727	220	8	advisors	advisor	NOUN
ejpam-3727	220	9	prof	prof	PROPN
ejpam-3727	220	10	mamadou	mamadou	PROPN
ejpam-3727	220	11	seydou	seydou	PROPN
ejpam-3727	220	12	and	and	CCONJ
ejpam-3727	220	13	dr	dr	PROPN
ejpam-3727	220	14	bade	bade	NOUN
ejpam-3727	220	15	rabe	rabe	NOUN
ejpam-3727	220	16	for	for	ADP
ejpam-3727	220	17	their	their	PRON
ejpam-3727	220	18	valuable	valuable	ADJ
ejpam-3727	220	19	comments	comment	NOUN
ejpam-3727	220	20	.	.	PUNCT
ejpam-3727	220	21	.	.	PUNCT
ejpam-3727	221	1	references	reference	NOUN
ejpam-3727	221	2	[	[	X
ejpam-3727	221	3	1	1	NUM
ejpam-3727	221	4	]	]	PUNCT
ejpam-3727	221	5	https://www.msn.com/fr-xl/news/afrique/niger-premier-cas-de-coronavirus-confirmc3-a9-dans-le-pays/ar-bb11vqnk	https://www.msn.com/fr-xl/news/afrique/niger-premier-cas-de-coronavirus-confirmc3-a9-dans-le-pays/ar-bb11vqnk	PROPN
ejpam-3727	221	6	,	,	PUNCT
ejpam-3727	221	7	2020	2020	NUM
ejpam-3727	221	8	.	.	PUNCT
ejpam-3727	222	1	[	[	X
ejpam-3727	222	2	2	2	X
ejpam-3727	222	3	]	]	PUNCT
ejpam-3727	222	4	s.	s.	PROPN
ejpam-3727	222	5	bisso	bisso	PROPN
ejpam-3727	222	6	a.m.	a.m.	PROPN
ejpam-3727	223	1	oumarou	oumarou	PROPN
ejpam-3727	223	2	and	and	CCONJ
ejpam-3727	223	3	b.	b.	PROPN
ejpam-3727	223	4	mampassi	mampassi	PROPN
ejpam-3727	223	5	.	.	PUNCT
ejpam-3727	224	1	stability	stability	NOUN
ejpam-3727	224	2	analysis	analysis	NOUN
ejpam-3727	224	3	and	and	CCONJ
ejpam-3727	224	4	simulation	simulation	NOUN
ejpam-3727	224	5	of	of	ADP
ejpam-3727	224	6	an	an	DET
ejpam-3727	224	7	age	age	NOUN
ejpam-3727	224	8	-	-	PUNCT
ejpam-3727	224	9	structured	structure	VERB
ejpam-3727	224	10	hepatitis	hepatitis	PROPN
ejpam-3727	224	11	b	b	PROPN
ejpam-3727	224	12	model	model	NOUN
ejpam-3727	224	13	without	without	ADP
ejpam-3727	224	14	vertical	vertical	ADJ
ejpam-3727	224	15	transmission	transmission	NOUN
ejpam-3727	224	16	.	.	PUNCT
ejpam-3727	225	1	international	international	ADJ
ejpam-3727	225	2	journal	journal	PROPN
ejpam-3727	225	3	of	of	ADP
ejpam-3727	225	4	differential	differential	ADJ
ejpam-3727	225	5	equations	equation	NOUN
ejpam-3727	225	6	and	and	CCONJ
ejpam-3727	225	7	applications	application	NOUN
ejpam-3727	225	8	,	,	PUNCT
ejpam-3727	225	9	14(1):13–41	14(1):13–41	NUM
ejpam-3727	225	10	,	,	PUNCT
ejpam-3727	225	11	2015	2015	NUM
ejpam-3727	225	12	.	.	PUNCT
ejpam-3727	226	1	[	[	X
ejpam-3727	226	2	3	3	X
ejpam-3727	226	3	]	]	PUNCT
ejpam-3727	226	4	neterindwa	neterindwa	NOUN
ejpam-3727	226	5	ainea	ainea	PROPN
ejpam-3727	226	6	et	et	PROPN
ejpam-3727	226	7	al	al	PROPN
ejpam-3727	226	8	.	.	PROPN
ejpam-3727	227	1	modelling	model	VERB
ejpam-3727	227	2	the	the	DET
ejpam-3727	227	3	effect	effect	NOUN
ejpam-3727	227	4	of	of	ADP
ejpam-3727	227	5	treatment	treatment	NOUN
ejpam-3727	227	6	and	and	CCONJ
ejpam-3727	227	7	infected	infected	ADJ
ejpam-3727	227	8	immigrants	immigrant	NOUN
ejpam-3727	227	9	on	on	ADP
ejpam-3727	227	10	the	the	DET
ejpam-3727	227	11	spread	spread	NOUN
ejpam-3727	227	12	of	of	ADP
ejpam-3727	227	13	hepatitis	hepatitis	PROPN
ejpam-3727	227	14	c	c	PROPN
ejpam-3727	227	15	virus	virus	NOUN
ejpam-3727	227	16	disease	disease	NOUN
ejpam-3727	227	17	with	with	ADP
ejpam-3727	227	18	acute	acute	ADJ
ejpam-3727	227	19	and	and	CCONJ
ejpam-3727	227	20	chronic	chronic	ADJ
ejpam-3727	227	21	stages	stage	NOUN
ejpam-3727	227	22	.	.	PUNCT
ejpam-3727	228	1	american	american	ADJ
ejpam-3727	228	2	journal	journal	PROPN
ejpam-3727	228	3	of	of	ADP
ejpam-3727	228	4	computational	computational	ADJ
ejpam-3727	228	5	and	and	CCONJ
ejpam-3727	228	6	applied	applied	ADJ
ejpam-3727	228	7	mathematics	mathematic	NOUN
ejpam-3727	228	8	,	,	PUNCT
ejpam-3727	228	9	2(1):10–20	2(1):10–20	NUM
ejpam-3727	228	10	,	,	PUNCT
ejpam-3727	228	11	2012	2012	NUM
ejpam-3727	228	12	.	.	PUNCT
ejpam-3727	229	1	[	[	X
ejpam-3727	229	2	4	4	X
ejpam-3727	229	3	]	]	PUNCT
ejpam-3727	229	4	a.m.	a.m.	NOUN
ejpam-3727	229	5	oumarou	oumarou	PROPN
ejpam-3727	229	6	s.	s.	PROPN
ejpam-3727	229	7	bisso	bisso	PROPN
ejpam-3727	229	8	g.paterne	g.paterne	PROPN
ejpam-3727	229	9	,	,	PUNCT
ejpam-3727	229	10	b.k.abdoul	b.k.abdoul	ADJ
ejpam-3727	229	11	wahid	wahid	PROPN
ejpam-3727	229	12	.	.	PUNCT
ejpam-3727	230	1	stochastic	stochastic	ADJ
ejpam-3727	230	2	age	age	NOUN
ejpam-3727	230	3	-	-	PUNCT
ejpam-3727	230	4	structured	structure	VERB
ejpam-3727	230	5	malaria	malaria	NOUN
ejpam-3727	230	6	transmission	transmission	NOUN
ejpam-3727	230	7	model	model	NOUN
ejpam-3727	230	8	.	.	PUNCT
ejpam-3727	231	1	journal	journal	PROPN
ejpam-3727	231	2	of	of	ADP
ejpam-3727	231	3	applied	apply	VERB
ejpam-3727	231	4	mathematics	mathematic	NOUN
ejpam-3727	231	5	and	and	CCONJ
ejpam-3727	231	6	informatics	informatic	NOUN
ejpam-3727	231	7	,	,	PUNCT
ejpam-3727	231	8	7(2):29–50	7(2):29–50	NUM
ejpam-3727	231	9	,	,	PUNCT
ejpam-3727	231	10	2017	2017	NUM
ejpam-3727	231	11	.	.	PUNCT
ejpam-3727	232	1	references	reference	NOUN
ejpam-3727	232	2	566	566	NUM
ejpam-3727	232	3	[	[	X
ejpam-3727	232	4	5	5	NUM
ejpam-3727	232	5	]	]	PUNCT
ejpam-3727	232	6	j.	j.	PROPN
ejpam-3727	232	7	a.	a.	PROPN
ejpam-3727	232	8	p.heesterbeek	p.heesterbeek	ADJ
ejpam-3727	232	9	o.	o.	PROPN
ejpam-3727	232	10	diekmann	diekmann	PROPN
ejpam-3727	232	11	and	and	CCONJ
ejpam-3727	233	1	j.	j.	PROPN
ejpam-3727	233	2	a.	a.	PROPN
ejpam-3727	233	3	p.	p.	PROPN
ejpam-3727	233	4	metz	metz	PROPN
ejpam-3727	233	5	.	.	PUNCT
ejpam-3727	234	1	on	on	ADP
ejpam-3727	234	2	the	the	DET
ejpam-3727	234	3	definition	definition	NOUN
ejpam-3727	234	4	and	and	CCONJ
ejpam-3727	234	5	computation	computation	NOUN
ejpam-3727	234	6	of	of	ADP
ejpam-3727	234	7	the	the	DET
ejpam-3727	234	8	basic	basic	ADJ
ejpam-3727	234	9	reproduction	reproduction	NOUN
ejpam-3727	234	10	ratio	ratio	NOUN
ejpam-3727	234	11	r0	r0	NOUN
ejpam-3727	234	12	in	in	ADP
ejpam-3727	234	13	the	the	DET
ejpam-3727	234	14	model	model	NOUN
ejpam-3727	234	15	of	of	ADP
ejpam-3727	234	16	infectious	infectious	ADJ
ejpam-3727	234	17	disease	disease	NOUN
ejpam-3727	234	18	in	in	ADP
ejpam-3727	234	19	heterogeneous	heterogeneous	ADJ
ejpam-3727	234	20	populations	population	NOUN
ejpam-3727	234	21	.	.	PUNCT
ejpam-3727	235	1	journal	journal	PROPN
ejpam-3727	235	2	.	.	PUNCT
ejpam-3727	236	1	math	math	NOUN
ejpam-3727	236	2	.	.	PUNCT
ejpam-3727	237	1	biol	biol	PROPN
ejpam-3727	237	2	.	.	PUNCT
ejpam-3727	237	3	,	,	PUNCT
ejpam-3727	237	4	2(1):265–382	2(1):265–382	NUM
ejpam-3727	237	5	,	,	PUNCT
ejpam-3727	237	6	1990	1990	NUM
ejpam-3727	237	7	.	.	PUNCT
ejpam-3727	238	1	[	[	X
ejpam-3727	238	2	6	6	NUM
ejpam-3727	238	3	]	]	PUNCT
ejpam-3727	238	4	world	world	NOUN
ejpam-3727	238	5	health	health	NOUN
ejpam-3727	238	6	organization	organization	PROPN
ejpam-3727	238	7	.	.	PUNCT
ejpam-3727	239	1	https://ghanahealthnest.com/covid19-who-confirmsfirst-case-in-egypt	https://ghanahealthnest.com/covid19-who-confirmsfirst-case-in-egypt	PROPN
ejpam-3727	239	2	,	,	PUNCT
ejpam-3727	239	3	2020	2020	NUM
ejpam-3727	239	4	.	.	PUNCT
ejpam-3727	240	1	[	[	X
ejpam-3727	240	2	7	7	X
ejpam-3727	240	3	]	]	PUNCT
ejpam-3727	240	4	world	world	NOUN
ejpam-3727	240	5	health	health	NOUN
ejpam-3727	240	6	organization	organization	NOUN
ejpam-3727	240	7	.	.	PUNCT
ejpam-3727	241	1	https://time.com/5791661/who-coronavirus-pandemicdeclaration/	https://time.com/5791661/who-coronavirus-pandemicdeclaration/	PROPN
ejpam-3727	241	2	,	,	PUNCT
ejpam-3727	241	3	2020	2020	NUM
ejpam-3727	241	4	.	.	PUNCT
ejpam-3727	242	1	[	[	X
ejpam-3727	242	2	8	8	NUM
ejpam-3727	242	3	]	]	PUNCT
ejpam-3727	242	4	world	world	NOUN
ejpam-3727	242	5	health	health	NOUN
ejpam-3727	242	6	organization	organization	NOUN
ejpam-3727	242	7	.	.	PUNCT
ejpam-3727	243	1	https://www.who.int/emergencies/diseases/novelcoronavirus-2019/events-as-they-happen	https://www.who.int/emergencies/diseases/novelcoronavirus-2019/events-as-they-happen	ADJ
ejpam-3727	243	2	,	,	PUNCT
ejpam-3727	243	3	2020	2020	NUM
ejpam-3727	243	4	.	.	PUNCT
ejpam-3727	244	1	[	[	X
ejpam-3727	244	2	9	9	NUM
ejpam-3727	244	3	]	]	X
ejpam-3727	244	4	abba	abba	NOUN
ejpam-3727	244	5	mahamane	mahamane	PROPN
ejpam-3727	244	6	oumarou	oumarou	PROPN
ejpam-3727	244	7	.	.	PUNCT
ejpam-3727	245	1	analyse	analyse	PROPN
ejpam-3727	245	2	et	et	PROPN
ejpam-3727	245	3	simulation	simulation	PROPN
ejpam-3727	245	4	numrique	numrique	PROPN
ejpam-3727	245	5	d’un	d’un	PROPN
ejpam-3727	245	6	modle	modle	PROPN
ejpam-3727	245	7	pidmiologique	pidmiologique	NOUN
ejpam-3727	245	8	structur	structur	ADJ
ejpam-3727	245	9	avec	avec	X
ejpam-3727	245	10	phase	phase	NOUN
ejpam-3727	245	11	de	de	X
ejpam-3727	245	12	latence	latence	PROPN
ejpam-3727	245	13	,	,	PUNCT
ejpam-3727	245	14	projet	projet	PROPN
ejpam-3727	245	15	de	de	X
ejpam-3727	245	16	recherche	recherche	X
ejpam-3727	245	17	aims	aims	PROPN
ejpam-3727	245	18	-	-	PUNCT
ejpam-3727	245	19	sngal	sngal	NOUN
ejpam-3727	245	20	.	.	PUNCT
ejpam-3727	246	1	master	master	PROPN
ejpam-3727	246	2	’s	’s	PART
ejpam-3727	246	3	thesis	thesis	NOUN
ejpam-3727	246	4	,	,	PUNCT
ejpam-3727	246	5	african	african	PROPN
ejpam-3727	246	6	institute	institute	PROPN
ejpam-3727	246	7	of	of	ADP
ejpam-3727	246	8	mathematical	mathematical	ADJ
ejpam-3727	246	9	sciences	sciences	PROPN
ejpam-3727	246	10	(	(	PUNCT
ejpam-3727	246	11	aims	aims	PROPN
ejpam-3727	246	12	-	-	PUNCT
ejpam-3727	246	13	sngal	sngal	NOUN
ejpam-3727	246	14	)	)	PUNCT
ejpam-3727	246	15	,	,	PUNCT
ejpam-3727	246	16	2013	2013	NUM
ejpam-3727	246	17	.	.	PUNCT
ejpam-3727	247	1	[	[	X
ejpam-3727	247	2	10	10	NUM
ejpam-3727	247	3	]	]	X
ejpam-3727	247	4	moustapha	moustapha	PROPN
ejpam-3727	247	5	d.	d.	PROPN
ejpam-3727	247	6	rabi	rabi	PROPN
ejpam-3727	247	7	h.	h.	PROPN
ejpam-3727	247	8	g.	g.	PROPN
ejpam-3727	247	9	wahid	wahid	PROPN
ejpam-3727	247	10	,	,	PUNCT
ejpam-3727	247	11	b.	b.	PROPN
ejpam-3727	247	12	k.	k.	PROPN
ejpam-3727	247	13	a	a	PROPN
ejpam-3727	247	14	and	and	CCONJ
ejpam-3727	247	15	s.	s.	PROPN
ejpam-3727	247	16	bisso	bisso	PROPN
ejpam-3727	247	17	.	.	PUNCT
ejpam-3727	248	1	contribution	contribution	NOUN
ejpam-3727	248	2	to	to	ADP
ejpam-3727	248	3	the	the	DET
ejpam-3727	248	4	mathematical	mathematical	ADJ
ejpam-3727	248	5	modeling	modeling	NOUN
ejpam-3727	248	6	of	of	ADP
ejpam-3727	248	7	covid-19	covid-19	PROPN
ejpam-3727	248	8	in	in	ADP
ejpam-3727	248	9	niger	niger	NOUN
ejpam-3727	248	10	.	.	PUNCT
ejpam-3727	249	1	applied	apply	VERB
ejpam-3727	249	2	mathematics	mathematic	NOUN
ejpam-3727	249	3	,	,	PUNCT
ejpam-3727	249	4	11:427–435	11:427–435	NUM
ejpam-3727	249	5	,	,	PUNCT
ejpam-3727	249	6	2020	2020	NUM
ejpam-3727	249	7	.	.	PUNCT
ejpam-3727	250	1	[	[	X
ejpam-3727	250	2	11	11	NUM
ejpam-3727	250	3	]	]	SYM
ejpam-3727	250	4	worldometers	worldometer	NOUN
ejpam-3727	250	5	.	.	PUNCT
ejpam-3727	251	1	https://srv1.worldometers.info/coronavirus/#countries	https://srv1.worldometers.info/coronavirus/#countrie	NOUN
ejpam-3727	251	2	,	,	PUNCT
ejpam-3727	251	3	2020	2020	NUM
ejpam-3727	251	4	.	.	PUNCT