id	sid	tid	token	lemma	pos
ejpam-4987	1	1	european	european	PROPN
ejpam-4987	1	2	journal	journal	PROPN
ejpam-4987	1	3	of	of	ADP
ejpam-4987	1	4	pure	pure	ADJ
ejpam-4987	1	5	and	and	CCONJ
ejpam-4987	1	6	applied	apply	VERB
ejpam-4987	1	7	mathematics	mathematic	NOUN
ejpam-4987	1	8	vol	vol	NOUN
ejpam-4987	1	9	.	.	PROPN
ejpam-4987	2	1	17	17	NUM
ejpam-4987	2	2	,	,	PUNCT
ejpam-4987	2	3	no	no	INTJ
ejpam-4987	2	4	.	.	NOUN
ejpam-4987	2	5	1	1	NUM
ejpam-4987	2	6	,	,	PUNCT
ejpam-4987	2	7	2024	2024	NUM
ejpam-4987	2	8	,	,	PUNCT
ejpam-4987	2	9	59	59	NUM
ejpam-4987	2	10	-	-	SYM
ejpam-4987	2	11	92	92	NUM
ejpam-4987	2	12	issn	issn	PROPN
ejpam-4987	2	13	1307	1307	NUM
ejpam-4987	2	14	-	-	SYM
ejpam-4987	2	15	5543	5543	NUM
ejpam-4987	2	16	–	–	PUNCT
ejpam-4987	3	1	ejpam.com	ejpam.com	X
ejpam-4987	3	2	published	publish	VERB
ejpam-4987	3	3	by	by	ADP
ejpam-4987	3	4	new	new	PROPN
ejpam-4987	3	5	york	york	PROPN
ejpam-4987	3	6	business	business	PROPN
ejpam-4987	3	7	global	global	PROPN
ejpam-4987	3	8	mathematical	mathematical	PROPN
ejpam-4987	3	9	modelling	modelling	NOUN
ejpam-4987	3	10	and	and	CCONJ
ejpam-4987	3	11	numerical	numerical	PROPN
ejpam-4987	3	12	simulation	simulation	NOUN
ejpam-4987	3	13	of	of	ADP
ejpam-4987	3	14	hepatitis	hepatitis	PROPN
ejpam-4987	3	15	b	b	PROPN
ejpam-4987	3	16	viral	viral	ADJ
ejpam-4987	3	17	infection	infection	NOUN
ejpam-4987	3	18	:	:	PUNCT
ejpam-4987	3	19	the	the	DET
ejpam-4987	3	20	case	case	NOUN
ejpam-4987	3	21	of	of	ADP
ejpam-4987	3	22	burkina	burkina	PROPN
ejpam-4987	3	23	faso	faso	PROPN
ejpam-4987	3	24	adama	adama	PROPN
ejpam-4987	3	25	kiemtoré1	kiemtoré1	PROPN
ejpam-4987	3	26	,	,	PUNCT
ejpam-4987	3	27	wendabbo	wendabbo	NOUN
ejpam-4987	3	28	olivier	olivier	PROPN
ejpam-4987	3	29	sawadogo2,∗	sawadogo2,∗	PROPN
ejpam-4987	3	30	,	,	PUNCT
ejpam-4987	3	31	fatima	fatima	PROPN
ejpam-4987	3	32	aqel3	aqel3	PROPN
ejpam-4987	3	33	,	,	PUNCT
ejpam-4987	3	34	hamza	hamza	PROPN
ejpam-4987	3	35	alaa4	alaa4	PROPN
ejpam-4987	3	36	,	,	PUNCT
ejpam-4987	3	37	kounpielime	kounpielime	VERB
ejpam-4987	3	38	sosthène	sosthène	DET
ejpam-4987	3	39	somda5	somda5	NOUN
ejpam-4987	3	40	1	1	NUM
ejpam-4987	3	41	lanibio	lanibio	NOUN
ejpam-4987	3	42	laboratory	laboratory	NOUN
ejpam-4987	3	43	,	,	PUNCT
ejpam-4987	3	44	university	university	NOUN
ejpam-4987	3	45	joseph	joseph	PROPN
ejpam-4987	3	46	ki	ki	PROPN
ejpam-4987	3	47	-	-	PUNCT
ejpam-4987	3	48	zerbo	zerbo	PROPN
ejpam-4987	3	49	,	,	PUNCT
ejpam-4987	3	50	ouagadougou	ouagadougou	PROPN
ejpam-4987	3	51	,	,	PUNCT
ejpam-4987	3	52	burkina	burkina	PROPN
ejpam-4987	3	53	faso	faso	PROPN
ejpam-4987	3	54	2	2	NUM
ejpam-4987	3	55	lared	lare	VERB
ejpam-4987	3	56	laboratory	laboratory	NOUN
ejpam-4987	3	57	,	,	PUNCT
ejpam-4987	3	58	university	university	NOUN
ejpam-4987	3	59	of	of	ADP
ejpam-4987	3	60	ouahigouya	ouahigouya	NOUN
ejpam-4987	3	61	,	,	PUNCT
ejpam-4987	3	62	burkina	burkina	PROPN
ejpam-4987	3	63	faso	faso	PROPN
ejpam-4987	3	64	3	3	NUM
ejpam-4987	3	65	computer	computer	NOUN
ejpam-4987	3	66	,	,	PUNCT
ejpam-4987	3	67	networks	network	NOUN
ejpam-4987	3	68	,	,	PUNCT
ejpam-4987	3	69	mobility	mobility	NOUN
ejpam-4987	3	70	and	and	CCONJ
ejpam-4987	3	71	modeling	model	VERB
ejpam-4987	3	72	laboratory	laboratory	NOUN
ejpam-4987	3	73	(	(	PUNCT
ejpam-4987	3	74	ir2	ir2	PROPN
ejpam-4987	3	75	m	m	PROPN
ejpam-4987	3	76	)	)	PUNCT
ejpam-4987	3	77	,	,	PUNCT
ejpam-4987	3	78	faculty	faculty	NOUN
ejpam-4987	3	79	of	of	ADP
ejpam-4987	3	80	sciences	science	NOUN
ejpam-4987	3	81	and	and	CCONJ
ejpam-4987	3	82	technics	technic	NOUN
ejpam-4987	3	83	,	,	PUNCT
ejpam-4987	3	84	hassan	hassan	PROPN
ejpam-4987	3	85	first	first	PROPN
ejpam-4987	3	86	university	university	PROPN
ejpam-4987	3	87	,	,	PUNCT
ejpam-4987	3	88	settat	settat	X
ejpam-4987	3	89	26000	26000	NUM
ejpam-4987	3	90	,	,	PUNCT
ejpam-4987	3	91	morocco	morocco	PROPN
ejpam-4987	3	92	4	4	NUM
ejpam-4987	3	93	lamai	lamai	PROPN
ejpam-4987	3	94	laboratory	laboratory	NOUN
ejpam-4987	3	95	,	,	PUNCT
ejpam-4987	3	96	faculty	faculty	NOUN
ejpam-4987	3	97	of	of	ADP
ejpam-4987	3	98	sciences	science	NOUN
ejpam-4987	3	99	and	and	CCONJ
ejpam-4987	3	100	technology	technology	NOUN
ejpam-4987	3	101	,	,	PUNCT
ejpam-4987	3	102	university	university	NOUN
ejpam-4987	3	103	of	of	ADP
ejpam-4987	3	104	cadi	cadi	NOUN
ejpam-4987	3	105	ayyad	ayyad	NOUN
ejpam-4987	3	106	,	,	PUNCT
ejpam-4987	3	107	abdelkrim	abdelkrim	PROPN
ejpam-4987	3	108	,	,	PUNCT
ejpam-4987	3	109	khattabi	khattabi	PROPN
ejpam-4987	3	110	,	,	PUNCT
ejpam-4987	3	111	marrakech	marrakech	NOUN
ejpam-4987	3	112	40000	40000	NUM
ejpam-4987	3	113	,	,	PUNCT
ejpam-4987	3	114	morocco	morocco	PROPN
ejpam-4987	3	115	5	5	NUM
ejpam-4987	3	116	department	department	NOUN
ejpam-4987	3	117	of	of	ADP
ejpam-4987	3	118	biochemistry	biochemistry	NOUN
ejpam-4987	3	119	and	and	CCONJ
ejpam-4987	3	120	microbiology	microbiology	NOUN
ejpam-4987	3	121	,	,	PUNCT
ejpam-4987	3	122	pietro	pietro	NOUN
ejpam-4987	3	123	annigonni	annigonni	PROPN
ejpam-4987	3	124	biomolecular	biomolecular	PROPN
ejpam-4987	3	125	research	research	NOUN
ejpam-4987	3	126	center	center	NOUN
ejpam-4987	3	127	,	,	PUNCT
ejpam-4987	3	128	ouagadougou	ouagadougou	PROPN
ejpam-4987	3	129	,	,	PUNCT
ejpam-4987	3	130	burkina	burkina	PROPN
ejpam-4987	3	131	faso	faso	PROPN
ejpam-4987	3	132	abstract	abstract	NOUN
ejpam-4987	3	133	.	.	PUNCT
ejpam-4987	4	1	hepatitis	hepatitis	PROPN
ejpam-4987	4	2	b	b	PROPN
ejpam-4987	4	3	is	be	AUX
ejpam-4987	4	4	a	a	DET
ejpam-4987	4	5	viral	viral	ADJ
ejpam-4987	4	6	infection	infection	NOUN
ejpam-4987	4	7	that	that	PRON
ejpam-4987	4	8	can	can	AUX
ejpam-4987	4	9	cause	cause	VERB
ejpam-4987	4	10	inflammation	inflammation	NOUN
ejpam-4987	4	11	of	of	ADP
ejpam-4987	4	12	the	the	DET
ejpam-4987	4	13	liver	liver	NOUN
ejpam-4987	4	14	and	and	CCONJ
ejpam-4987	4	15	lead	lead	VERB
ejpam-4987	4	16	to	to	ADP
ejpam-4987	4	17	severe	severe	ADJ
ejpam-4987	4	18	liver	liver	NOUN
ejpam-4987	4	19	damage	damage	NOUN
ejpam-4987	4	20	and	and	CCONJ
ejpam-4987	4	21	even	even	ADV
ejpam-4987	4	22	death	death	NOUN
ejpam-4987	4	23	.	.	PUNCT
ejpam-4987	5	1	the	the	DET
ejpam-4987	5	2	study	study	NOUN
ejpam-4987	5	3	of	of	ADP
ejpam-4987	5	4	hepatitis	hepatitis	PROPN
ejpam-4987	5	5	in	in	ADP
ejpam-4987	5	6	burkina	burkina	PROPN
ejpam-4987	5	7	faso	faso	PROPN
ejpam-4987	5	8	is	be	AUX
ejpam-4987	5	9	crucial	crucial	ADJ
ejpam-4987	5	10	for	for	ADP
ejpam-4987	5	11	several	several	ADJ
ejpam-4987	5	12	reasons	reason	NOUN
ejpam-4987	5	13	.	.	PUNCT
ejpam-4987	6	1	indeed	indeed	ADV
ejpam-4987	6	2	,	,	PUNCT
ejpam-4987	6	3	understanding	understand	VERB
ejpam-4987	6	4	the	the	DET
ejpam-4987	6	5	epidemiology	epidemiology	NOUN
ejpam-4987	6	6	of	of	ADP
ejpam-4987	6	7	hepatitis	hepatitis	PROPN
ejpam-4987	6	8	in	in	ADP
ejpam-4987	6	9	burkina	burkina	PROPN
ejpam-4987	6	10	faso	faso	PROPN
ejpam-4987	6	11	can	can	AUX
ejpam-4987	6	12	help	help	VERB
ejpam-4987	6	13	develop	develop	VERB
ejpam-4987	6	14	effective	effective	ADJ
ejpam-4987	6	15	prevention	prevention	NOUN
ejpam-4987	6	16	and	and	CCONJ
ejpam-4987	6	17	control	control	NOUN
ejpam-4987	6	18	strategies	strategy	NOUN
ejpam-4987	6	19	.	.	PUNCT
ejpam-4987	7	1	its	its	PRON
ejpam-4987	7	2	study	study	NOUN
ejpam-4987	7	3	can	can	AUX
ejpam-4987	7	4	also	also	ADV
ejpam-4987	7	5	contribute	contribute	VERB
ejpam-4987	7	6	to	to	ADP
ejpam-4987	7	7	a	a	DET
ejpam-4987	7	8	better	well	ADJ
ejpam-4987	7	9	understanding	understanding	NOUN
ejpam-4987	7	10	of	of	ADP
ejpam-4987	7	11	the	the	DET
ejpam-4987	7	12	global	global	ADJ
ejpam-4987	7	13	burden	burden	NOUN
ejpam-4987	7	14	of	of	ADP
ejpam-4987	7	15	the	the	DET
ejpam-4987	7	16	disease	disease	NOUN
ejpam-4987	7	17	and	and	CCONJ
ejpam-4987	7	18	the	the	DET
ejpam-4987	7	19	development	development	NOUN
ejpam-4987	7	20	of	of	ADP
ejpam-4987	7	21	effective	effective	ADJ
ejpam-4987	7	22	interventions	intervention	NOUN
ejpam-4987	7	23	in	in	ADP
ejpam-4987	7	24	other	other	ADJ
ejpam-4987	7	25	parts	part	NOUN
ejpam-4987	7	26	of	of	ADP
ejpam-4987	7	27	the	the	DET
ejpam-4987	7	28	world	world	NOUN
ejpam-4987	7	29	.	.	PUNCT
ejpam-4987	8	1	to	to	ADP
ejpam-4987	8	2	this	this	DET
ejpam-4987	8	3	aim	aim	NOUN
ejpam-4987	8	4	,	,	PUNCT
ejpam-4987	8	5	a	a	DET
ejpam-4987	8	6	new	new	ADJ
ejpam-4987	8	7	differential	differential	ADJ
ejpam-4987	8	8	susceptibility	susceptibility	NOUN
ejpam-4987	8	9	and	and	CCONJ
ejpam-4987	8	10	infectivity	infectivity	NOUN
ejpam-4987	8	11	mathematical	mathematical	ADJ
ejpam-4987	8	12	model	model	NOUN
ejpam-4987	8	13	of	of	ADP
ejpam-4987	8	14	hepatitis	hepatitis	PROPN
ejpam-4987	8	15	b	b	PROPN
ejpam-4987	8	16	transmission	transmission	NOUN
ejpam-4987	8	17	was	be	AUX
ejpam-4987	8	18	developed	develop	VERB
ejpam-4987	8	19	in	in	ADP
ejpam-4987	8	20	order	order	NOUN
ejpam-4987	8	21	to	to	PART
ejpam-4987	8	22	simulate	simulate	VERB
ejpam-4987	8	23	the	the	DET
ejpam-4987	8	24	potential	potential	ADJ
ejpam-4987	8	25	spread	spread	NOUN
ejpam-4987	8	26	of	of	ADP
ejpam-4987	8	27	the	the	DET
ejpam-4987	8	28	hepatitis	hepatitis	PROPN
ejpam-4987	8	29	b	b	PROPN
ejpam-4987	8	30	virus	virus	NOUN
ejpam-4987	8	31	in	in	ADP
ejpam-4987	8	32	the	the	DET
ejpam-4987	8	33	population	population	NOUN
ejpam-4987	8	34	of	of	ADP
ejpam-4987	8	35	burkina	burkina	PROPN
ejpam-4987	8	36	faso	faso	PROPN
ejpam-4987	8	37	.	.	PUNCT
ejpam-4987	9	1	once	once	SCONJ
ejpam-4987	9	2	the	the	DET
ejpam-4987	9	3	mathematical	mathematical	ADJ
ejpam-4987	9	4	model	model	NOUN
ejpam-4987	9	5	is	be	AUX
ejpam-4987	9	6	presented	present	VERB
ejpam-4987	9	7	,	,	PUNCT
ejpam-4987	9	8	the	the	DET
ejpam-4987	9	9	existence	existence	NOUN
ejpam-4987	9	10	and	and	CCONJ
ejpam-4987	9	11	uniqueness	uniqueness	NOUN
ejpam-4987	9	12	of	of	ADP
ejpam-4987	9	13	non	non	ADJ
ejpam-4987	9	14	-	-	ADJ
ejpam-4987	9	15	negative	negative	ADJ
ejpam-4987	9	16	solutions	solution	NOUN
ejpam-4987	9	17	are	be	AUX
ejpam-4987	9	18	proved	prove	VERB
ejpam-4987	9	19	.	.	PUNCT
ejpam-4987	10	1	the	the	DET
ejpam-4987	10	2	model	model	NOUN
ejpam-4987	10	3	has	have	VERB
ejpam-4987	10	4	a	a	DET
ejpam-4987	10	5	globally	globally	ADV
ejpam-4987	10	6	asymptotically	asymptotically	ADV
ejpam-4987	10	7	stable	stable	ADJ
ejpam-4987	10	8	disease	disease	NOUN
ejpam-4987	10	9	-	-	PUNCT
ejpam-4987	10	10	free	free	ADJ
ejpam-4987	10	11	equilibrium	equilibrium	NOUN
ejpam-4987	10	12	when	when	SCONJ
ejpam-4987	10	13	the	the	DET
ejpam-4987	10	14	basic	basic	ADJ
ejpam-4987	10	15	reproduction	reproduction	NOUN
ejpam-4987	10	16	number	number	NOUN
ejpam-4987	10	17	r0	r0	NOUN
ejpam-4987	10	18	<	<	X
ejpam-4987	10	19	1	1	NUM
ejpam-4987	10	20	and	and	CCONJ
ejpam-4987	10	21	a	a	DET
ejpam-4987	10	22	globally	globally	ADV
ejpam-4987	10	23	asymptotically	asymptotically	ADV
ejpam-4987	10	24	stable	stable	ADJ
ejpam-4987	10	25	endemic	endemic	ADJ
ejpam-4987	10	26	equilibrium	equilibrium	NOUN
ejpam-4987	10	27	when	when	SCONJ
ejpam-4987	10	28	r0	r0	NOUN
ejpam-4987	10	29	>	>	X
ejpam-4987	10	30	1	1	X
ejpam-4987	10	31	.	.	PUNCT
ejpam-4987	11	1	the	the	DET
ejpam-4987	11	2	global	global	ADJ
ejpam-4987	11	3	asymptotic	asymptotic	ADJ
ejpam-4987	11	4	stability	stability	NOUN
ejpam-4987	11	5	of	of	ADP
ejpam-4987	11	6	the	the	DET
ejpam-4987	11	7	disease	disease	NOUN
ejpam-4987	11	8	-	-	PUNCT
ejpam-4987	11	9	free	free	ADJ
ejpam-4987	11	10	equilibrium	equilibrium	NOUN
ejpam-4987	11	11	has	have	AUX
ejpam-4987	11	12	been	be	AUX
ejpam-4987	11	13	studied	study	VERB
ejpam-4987	11	14	using	use	VERB
ejpam-4987	11	15	the	the	DET
ejpam-4987	11	16	castillo	castillo	PROPN
ejpam-4987	11	17	chavez	chavez	PROPN
ejpam-4987	11	18	method	method	PROPN
ejpam-4987	11	19	.	.	PUNCT
ejpam-4987	12	1	the	the	DET
ejpam-4987	12	2	lyapunov	lyapunov	ADJ
ejpam-4987	12	3	function	function	NOUN
ejpam-4987	12	4	and	and	CCONJ
ejpam-4987	12	5	the	the	DET
ejpam-4987	12	6	lasalle	lasalle	PROPN
ejpam-4987	12	7	invariance	invariance	PROPN
ejpam-4987	12	8	principle	principle	NOUN
ejpam-4987	12	9	are	be	AUX
ejpam-4987	12	10	used	use	VERB
ejpam-4987	12	11	to	to	PART
ejpam-4987	12	12	prove	prove	VERB
ejpam-4987	12	13	the	the	DET
ejpam-4987	12	14	global	global	ADJ
ejpam-4987	12	15	asymptotic	asymptotic	ADJ
ejpam-4987	12	16	stability	stability	NOUN
ejpam-4987	12	17	of	of	ADP
ejpam-4987	12	18	the	the	DET
ejpam-4987	12	19	endemic	endemic	ADJ
ejpam-4987	12	20	equilibrium	equilibrium	NOUN
ejpam-4987	12	21	.	.	PUNCT
ejpam-4987	13	1	to	to	PART
ejpam-4987	13	2	simulate	simulate	VERB
ejpam-4987	13	3	the	the	DET
ejpam-4987	13	4	proposed	propose	VERB
ejpam-4987	13	5	model	model	NOUN
ejpam-4987	13	6	,	,	PUNCT
ejpam-4987	13	7	a	a	DET
ejpam-4987	13	8	matlab	matlab	PROPN
ejpam-4987	13	9	numerical	numerical	PROPN
ejpam-4987	13	10	code	code	PROPN
ejpam-4987	13	11	has	have	AUX
ejpam-4987	13	12	been	be	AUX
ejpam-4987	13	13	developed	develop	VERB
ejpam-4987	13	14	.	.	PUNCT
ejpam-4987	14	1	numerical	numerical	ADJ
ejpam-4987	14	2	simulations	simulation	NOUN
ejpam-4987	14	3	are	be	AUX
ejpam-4987	14	4	performed	perform	VERB
ejpam-4987	14	5	using	use	VERB
ejpam-4987	14	6	data	datum	NOUN
ejpam-4987	14	7	of	of	ADP
ejpam-4987	14	8	burkina	burkina	PROPN
ejpam-4987	14	9	faso	faso	PROPN
ejpam-4987	14	10	.	.	PUNCT
ejpam-4987	15	1	the	the	DET
ejpam-4987	15	2	obtained	obtain	VERB
ejpam-4987	15	3	numerical	numerical	ADJ
ejpam-4987	15	4	results	result	NOUN
ejpam-4987	15	5	confirm	confirm	VERB
ejpam-4987	15	6	analytical	analytical	ADJ
ejpam-4987	15	7	results	result	NOUN
ejpam-4987	15	8	as	as	ADV
ejpam-4987	15	9	well	well	ADV
ejpam-4987	15	10	as	as	ADP
ejpam-4987	15	11	the	the	DET
ejpam-4987	15	12	evolution	evolution	NOUN
ejpam-4987	15	13	of	of	ADP
ejpam-4987	15	14	hepatitis	hepatitis	PROPN
ejpam-4987	15	15	b	b	PROPN
ejpam-4987	15	16	in	in	ADP
ejpam-4987	15	17	burkina	burkina	PROPN
ejpam-4987	15	18	faso	faso	PROPN
ejpam-4987	15	19	.	.	PUNCT
ejpam-4987	16	1	2020	2020	NUM
ejpam-4987	16	2	mathematics	mathematics	PROPN
ejpam-4987	16	3	subject	subject	NOUN
ejpam-4987	16	4	classifications	classification	NOUN
ejpam-4987	16	5	:	:	PUNCT
ejpam-4987	16	6	35a01	35a01	NUM
ejpam-4987	16	7	,	,	PUNCT
ejpam-4987	16	8	92b05	92b05	NUM
ejpam-4987	16	9	,	,	PUNCT
ejpam-4987	16	10	34c11	34c11	NUM
ejpam-4987	16	11	,	,	PUNCT
ejpam-4987	16	12	47h10	47h10	NUM
ejpam-4987	16	13	,	,	PUNCT
ejpam-4987	16	14	00a71	00a71	NUM
ejpam-4987	16	15	.	.	PUNCT
ejpam-4987	17	1	key	key	ADJ
ejpam-4987	17	2	words	word	NOUN
ejpam-4987	17	3	and	and	CCONJ
ejpam-4987	17	4	phrases	phrase	NOUN
ejpam-4987	17	5	:	:	PUNCT
ejpam-4987	17	6	hepatitis	hepatitis	PROPN
ejpam-4987	17	7	b	b	PROPN
ejpam-4987	17	8	,	,	PUNCT
ejpam-4987	17	9	susceptibility	susceptibility	NOUN
ejpam-4987	17	10	,	,	PUNCT
ejpam-4987	17	11	infectivity	infectivity	NOUN
ejpam-4987	17	12	,	,	PUNCT
ejpam-4987	17	13	stability	stability	NOUN
ejpam-4987	17	14	,	,	PUNCT
ejpam-4987	17	15	simulation	simulation	NOUN
ejpam-4987	17	16	∗corresponding	∗corresponde	VERB
ejpam-4987	17	17	author	author	NOUN
ejpam-4987	17	18	.	.	PUNCT
ejpam-4987	18	1	doi	doi	NOUN
ejpam-4987	18	2	:	:	PUNCT
ejpam-4987	18	3	https://doi.org/10.29020/nybg.ejpam.v17i1.4987	https://doi.org/10.29020/nybg.ejpam.v17i1.4987	ADP
ejpam-4987	18	4	email	email	NOUN
ejpam-4987	18	5	addresses	address	NOUN
ejpam-4987	18	6	:	:	PUNCT
ejpam-4987	19	1	kiemtoreadama@gmail.com	kiemtoreadama@gmail.com	X
ejpam-4987	19	2	(	(	PUNCT
ejpam-4987	19	3	adama	adama	X
ejpam-4987	19	4	kiemtoré	kiemtoré	NOUN
ejpam-4987	19	5	)	)	PUNCT
ejpam-4987	19	6	,	,	PUNCT
ejpam-4987	19	7	wenddabo81@gmail.com	wenddabo81@gmail.com	X
ejpam-4987	19	8	(	(	PUNCT
ejpam-4987	19	9	wendabbo	wendabbo	NOUN
ejpam-4987	19	10	olivier	olivier	NOUN
ejpam-4987	19	11	sawadogo),fatima.aqel@uhp.ac.ma	sawadogo),fatima.aqel@uhp.ac.ma	PROPN
ejpam-4987	19	12	(	(	PUNCT
ejpam-4987	19	13	fatima	fatima	PROPN
ejpam-4987	19	14	aqel	aqel	PROPN
ejpam-4987	19	15	)	)	PUNCT
ejpam-4987	19	16	,	,	PUNCT
ejpam-4987	19	17	hamza.alaa@ced.uca.ma	hamza.alaa@ced.uca.ma	PROPN
ejpam-4987	19	18	(	(	PUNCT
ejpam-4987	19	19	hamza	hamza	PROPN
ejpam-4987	19	20	alaa	alaa	PROPN
ejpam-4987	19	21	)	)	PUNCT
ejpam-4987	19	22	,	,	PUNCT
ejpam-4987	19	23	sosthenesomda@gmail.com	sosthenesomda@gmail.com	X
ejpam-4987	20	1	(	(	PUNCT
ejpam-4987	20	2	kounpielime	kounpielime	VERB
ejpam-4987	20	3	sosthène	sosthène	PROPN
ejpam-4987	20	4	somda	somda	NOUN
ejpam-4987	20	5	)	)	PUNCT
ejpam-4987	20	6	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4987	21	1	59	59	NUM
ejpam-4987	21	2	©	©	ADP
ejpam-4987	21	3	2024	2024	NUM
ejpam-4987	21	4	ejpam	ejpam	NOUN
ejpam-4987	21	5	all	all	DET
ejpam-4987	21	6	rights	right	NOUN
ejpam-4987	21	7	reserved	reserve	VERB
ejpam-4987	21	8	.	.	PUNCT
ejpam-4987	22	1	w.-o	w.-o	NOUN
ejpam-4987	22	2	sawadogo	sawadogo	VERB
ejpam-4987	22	3	et	et	PROPN
ejpam-4987	22	4	al	al	PROPN
ejpam-4987	22	5	.	.	PUNCT
ejpam-4987	22	6	/	/	SYM
ejpam-4987	22	7	eur	eur	PROPN
ejpam-4987	22	8	.	.	PUNCT
ejpam-4987	23	1	j.	j.	PROPN
ejpam-4987	23	2	pure	pure	PROPN
ejpam-4987	23	3	appl	appl	PROPN
ejpam-4987	23	4	.	.	PROPN
ejpam-4987	23	5	math	math	PROPN
ejpam-4987	23	6	,	,	PUNCT
ejpam-4987	23	7	17	17	NUM
ejpam-4987	23	8	(	(	PUNCT
ejpam-4987	23	9	1	1	NUM
ejpam-4987	23	10	)	)	PUNCT
ejpam-4987	23	11	(	(	PUNCT
ejpam-4987	23	12	2024	2024	NUM
ejpam-4987	23	13	)	)	PUNCT
ejpam-4987	23	14	,	,	PUNCT
ejpam-4987	23	15	59	59	NUM
ejpam-4987	23	16	-	-	SYM
ejpam-4987	23	17	92	92	NUM
ejpam-4987	23	18	60	60	NUM
ejpam-4987	23	19	1	1	NUM
ejpam-4987	23	20	.	.	PUNCT
ejpam-4987	24	1	introduction	introduction	NOUN
ejpam-4987	24	2	hepatitis	hepatitis	PROPN
ejpam-4987	24	3	b	b	PROPN
ejpam-4987	24	4	virus	virus	NOUN
ejpam-4987	24	5	(	(	PUNCT
ejpam-4987	24	6	hbv	hbv	NOUN
ejpam-4987	24	7	)	)	PUNCT
ejpam-4987	24	8	is	be	AUX
ejpam-4987	24	9	a	a	DET
ejpam-4987	24	10	global	global	ADJ
ejpam-4987	24	11	health	health	NOUN
ejpam-4987	24	12	threat	threat	NOUN
ejpam-4987	24	13	,	,	PUNCT
ejpam-4987	24	14	and	and	CCONJ
ejpam-4987	24	15	its	its	PRON
ejpam-4987	24	16	elimination	elimination	NOUN
ejpam-4987	24	17	by	by	ADP
ejpam-4987	24	18	2030	2030	NUM
ejpam-4987	24	19	is	be	AUX
ejpam-4987	24	20	a	a	DET
ejpam-4987	24	21	world	world	NOUN
ejpam-4987	24	22	health	health	NOUN
ejpam-4987	24	23	organization	organization	NOUN
ejpam-4987	24	24	priority	priority	NOUN
ejpam-4987	24	25	.	.	PUNCT
ejpam-4987	25	1	hepatitis	hepatitis	PROPN
ejpam-4987	25	2	b	b	PROPN
ejpam-4987	25	3	is	be	AUX
ejpam-4987	25	4	not	not	PART
ejpam-4987	25	5	easily	easily	ADV
ejpam-4987	25	6	curable	curable	ADJ
ejpam-4987	25	7	.	.	PUNCT
ejpam-4987	26	1	most	most	ADJ
ejpam-4987	26	2	people	people	NOUN
ejpam-4987	26	3	who	who	PRON
ejpam-4987	26	4	are	be	AUX
ejpam-4987	26	5	infected	infect	VERB
ejpam-4987	26	6	will	will	AUX
ejpam-4987	26	7	not	not	PART
ejpam-4987	26	8	have	have	VERB
ejpam-4987	26	9	any	any	DET
ejpam-4987	26	10	symptoms	symptom	NOUN
ejpam-4987	26	11	of	of	ADP
ejpam-4987	26	12	infection	infection	NOUN
ejpam-4987	26	13	[	[	X
ejpam-4987	26	14	11	11	NUM
ejpam-4987	26	15	]	]	PUNCT
ejpam-4987	26	16	,	,	PUNCT
ejpam-4987	26	17	[	[	X
ejpam-4987	26	18	12	12	NUM
ejpam-4987	26	19	]	]	PUNCT
ejpam-4987	26	20	,	,	PUNCT
ejpam-4987	26	21	[	[	X
ejpam-4987	26	22	10	10	NUM
ejpam-4987	26	23	]	]	PUNCT
ejpam-4987	26	24	.	.	PUNCT
ejpam-4987	27	1	they	they	PRON
ejpam-4987	27	2	are	be	AUX
ejpam-4987	27	3	called	call	VERB
ejpam-4987	27	4	asymptomatic	asymptomatic	ADJ
ejpam-4987	27	5	carriers	carrier	NOUN
ejpam-4987	27	6	and	and	CCONJ
ejpam-4987	27	7	play	play	VERB
ejpam-4987	27	8	a	a	DET
ejpam-4987	27	9	very	very	ADV
ejpam-4987	27	10	important	important	ADJ
ejpam-4987	27	11	role	role	NOUN
ejpam-4987	27	12	in	in	ADP
ejpam-4987	27	13	the	the	DET
ejpam-4987	27	14	transmission	transmission	NOUN
ejpam-4987	27	15	of	of	ADP
ejpam-4987	27	16	this	this	DET
ejpam-4987	27	17	disease	disease	NOUN
ejpam-4987	27	18	.	.	PUNCT
ejpam-4987	28	1	these	these	PRON
ejpam-4987	28	2	are	be	AUX
ejpam-4987	28	3	people	people	NOUN
ejpam-4987	28	4	who	who	PRON
ejpam-4987	28	5	are	be	AUX
ejpam-4987	28	6	affected	affect	VERB
ejpam-4987	28	7	by	by	ADP
ejpam-4987	28	8	the	the	DET
ejpam-4987	28	9	virus	virus	NOUN
ejpam-4987	28	10	but	but	CCONJ
ejpam-4987	28	11	do	do	AUX
ejpam-4987	28	12	not	not	PART
ejpam-4987	28	13	show	show	VERB
ejpam-4987	28	14	any	any	DET
ejpam-4987	28	15	clinical	clinical	ADJ
ejpam-4987	28	16	signs	sign	NOUN
ejpam-4987	28	17	.	.	PUNCT
ejpam-4987	29	1	[	[	X
ejpam-4987	29	2	33	33	NUM
ejpam-4987	29	3	]	]	PUNCT
ejpam-4987	29	4	serological	serological	ADJ
ejpam-4987	29	5	testing	testing	NOUN
ejpam-4987	29	6	is	be	AUX
ejpam-4987	29	7	therefore	therefore	ADV
ejpam-4987	29	8	essential	essential	ADJ
ejpam-4987	29	9	.	.	PUNCT
ejpam-4987	30	1	thus	thus	ADV
ejpam-4987	30	2	,	,	PUNCT
ejpam-4987	30	3	many	many	ADJ
ejpam-4987	30	4	people	people	NOUN
ejpam-4987	30	5	infected	infect	VERB
ejpam-4987	30	6	with	with	ADP
ejpam-4987	30	7	hbv	hbv	NOUN
ejpam-4987	30	8	may	may	AUX
ejpam-4987	30	9	not	not	PART
ejpam-4987	30	10	know	know	VERB
ejpam-4987	30	11	it	it	PRON
ejpam-4987	30	12	and	and	CCONJ
ejpam-4987	30	13	may	may	AUX
ejpam-4987	30	14	transmit	transmit	VERB
ejpam-4987	30	15	it	it	PRON
ejpam-4987	30	16	to	to	ADP
ejpam-4987	30	17	other	other	ADJ
ejpam-4987	30	18	individuals	individual	NOUN
ejpam-4987	30	19	[	[	X
ejpam-4987	30	20	13	13	NUM
ejpam-4987	30	21	]	]	PUNCT
ejpam-4987	30	22	,	,	PUNCT
ejpam-4987	31	1	[	[	X
ejpam-4987	31	2	9	9	NUM
ejpam-4987	31	3	]	]	PUNCT
ejpam-4987	31	4	,	,	PUNCT
ejpam-4987	31	5	[	[	X
ejpam-4987	31	6	33	33	NUM
ejpam-4987	31	7	]	]	PUNCT
ejpam-4987	31	8	,	,	PUNCT
ejpam-4987	32	1	[	[	X
ejpam-4987	32	2	41	41	NUM
ejpam-4987	32	3	]	]	PUNCT
ejpam-4987	32	4	.	.	PUNCT
ejpam-4987	33	1	according	accord	VERB
ejpam-4987	33	2	to	to	ADP
ejpam-4987	33	3	the	the	DET
ejpam-4987	33	4	world	world	PROPN
ejpam-4987	33	5	health	health	NOUN
ejpam-4987	33	6	organization	organization	NOUN
ejpam-4987	33	7	(	(	PUNCT
ejpam-4987	33	8	who	who	PRON
ejpam-4987	33	9	)	)	PUNCT
ejpam-4987	33	10	,	,	PUNCT
ejpam-4987	33	11	it	it	PRON
ejpam-4987	33	12	has	have	AUX
ejpam-4987	33	13	been	be	AUX
ejpam-4987	33	14	estimated	estimate	VERB
ejpam-4987	33	15	that	that	SCONJ
ejpam-4987	33	16	2.5	2.5	NUM
ejpam-4987	33	17	billion	billion	NUM
ejpam-4987	33	18	people	people	NOUN
ejpam-4987	33	19	are	be	AUX
ejpam-4987	33	20	infected	infect	VERB
ejpam-4987	33	21	or	or	CCONJ
ejpam-4987	33	22	have	have	AUX
ejpam-4987	33	23	been	be	AUX
ejpam-4987	33	24	infected	infect	VERB
ejpam-4987	33	25	with	with	ADP
ejpam-4987	33	26	hbv	hbv	NOUN
ejpam-4987	33	27	,	,	PUNCT
ejpam-4987	33	28	representing	represent	VERB
ejpam-4987	33	29	30	30	NUM
ejpam-4987	33	30	%	%	NOUN
ejpam-4987	33	31	million	million	NUM
ejpam-4987	33	32	of	of	ADP
ejpam-4987	33	33	the	the	DET
ejpam-4987	33	34	global	global	ADJ
ejpam-4987	33	35	population	population	NOUN
ejpam-4987	33	36	.	.	PUNCT
ejpam-4987	34	1	among	among	ADP
ejpam-4987	34	2	them	they	PRON
ejpam-4987	34	3	,	,	PUNCT
ejpam-4987	34	4	there	there	PRON
ejpam-4987	34	5	are	be	VERB
ejpam-4987	34	6	257	257	NUM
ejpam-4987	34	7	million	million	NUM
ejpam-4987	34	8	people	people	NOUN
ejpam-4987	34	9	who	who	PRON
ejpam-4987	34	10	suffer	suffer	VERB
ejpam-4987	34	11	from	from	ADP
ejpam-4987	34	12	chronic	chronic	ADJ
ejpam-4987	34	13	hepatitis	hepatitis	PROPN
ejpam-4987	34	14	b	b	PROPN
ejpam-4987	34	15	(	(	PUNCT
ejpam-4987	34	16	global	global	ADJ
ejpam-4987	34	17	report	report	NOUN
ejpam-4987	34	18	2017	2017	NUM
ejpam-4987	34	19	)	)	PUNCT
ejpam-4987	34	20	,	,	PUNCT
ejpam-4987	34	21	of	of	ADP
ejpam-4987	34	22	which	which	PRON
ejpam-4987	34	23	60	60	NUM
ejpam-4987	34	24	million	million	NUM
ejpam-4987	34	25	are	be	AUX
ejpam-4987	34	26	in	in	ADP
ejpam-4987	34	27	africa	africa	PROPN
ejpam-4987	34	28	with	with	ADP
ejpam-4987	34	29	136,000	136,000	NUM
ejpam-4987	34	30	deaths	death	NOUN
ejpam-4987	34	31	in	in	ADP
ejpam-4987	34	32	2015	2015	NUM
ejpam-4987	34	33	[	[	X
ejpam-4987	34	34	33	33	NUM
ejpam-4987	34	35	]	]	PUNCT
ejpam-4987	34	36	.	.	PUNCT
ejpam-4987	35	1	the	the	DET
ejpam-4987	35	2	hbv	hbv	NOUN
ejpam-4987	35	3	infection	infection	NOUN
ejpam-4987	35	4	is	be	AUX
ejpam-4987	35	5	the	the	DET
ejpam-4987	35	6	second	second	ADV
ejpam-4987	35	7	known	know	VERB
ejpam-4987	35	8	human	human	ADJ
ejpam-4987	35	9	carcinogenic	carcinogenic	NOUN
ejpam-4987	35	10	after	after	ADP
ejpam-4987	35	11	tobacco	tobacco	NOUN
ejpam-4987	35	12	.	.	PUNCT
ejpam-4987	36	1	the	the	DET
ejpam-4987	36	2	hepatitis	hepatitis	PROPN
ejpam-4987	36	3	b	b	PROPN
ejpam-4987	36	4	virus	virus	NOUN
ejpam-4987	36	5	(	(	PUNCT
ejpam-4987	36	6	hbv	hbv	NOUN
ejpam-4987	36	7	)	)	PUNCT
ejpam-4987	36	8	primarily	primarily	ADV
ejpam-4987	36	9	targets	target	VERB
ejpam-4987	36	10	the	the	DET
ejpam-4987	36	11	liver	liver	NOUN
ejpam-4987	36	12	,	,	PUNCT
ejpam-4987	36	13	and	and	CCONJ
ejpam-4987	36	14	infection	infection	NOUN
ejpam-4987	36	15	with	with	ADP
ejpam-4987	36	16	this	this	DET
ejpam-4987	36	17	virus	virus	NOUN
ejpam-4987	36	18	can	can	AUX
ejpam-4987	36	19	cause	cause	VERB
ejpam-4987	36	20	damage	damage	NOUN
ejpam-4987	36	21	to	to	ADP
ejpam-4987	36	22	the	the	DET
ejpam-4987	36	23	liver	liver	NOUN
ejpam-4987	36	24	through	through	ADP
ejpam-4987	36	25	either	either	CCONJ
ejpam-4987	36	26	acute	acute	ADJ
ejpam-4987	36	27	or	or	CCONJ
ejpam-4987	36	28	chronic	chronic	ADJ
ejpam-4987	36	29	infection	infection	NOUN
ejpam-4987	36	30	.	.	PUNCT
ejpam-4987	37	1	the	the	DET
ejpam-4987	37	2	major	major	ADJ
ejpam-4987	37	3	damage	damage	NOUN
ejpam-4987	37	4	from	from	ADP
ejpam-4987	37	5	hbv	hbv	NOUN
ejpam-4987	37	6	is	be	AUX
ejpam-4987	37	7	due	due	ADJ
ejpam-4987	37	8	to	to	ADP
ejpam-4987	37	9	the	the	DET
ejpam-4987	37	10	long	long	ADJ
ejpam-4987	37	11	-	-	PUNCT
ejpam-4987	37	12	term	term	NOUN
ejpam-4987	37	13	consequences	consequence	NOUN
ejpam-4987	37	14	of	of	ADP
ejpam-4987	37	15	the	the	DET
ejpam-4987	37	16	chronic	chronic	ADJ
ejpam-4987	37	17	infection	infection	NOUN
ejpam-4987	37	18	,	,	PUNCT
ejpam-4987	37	19	mainly	mainly	ADV
ejpam-4987	37	20	cirrhosis	cirrhosis	NOUN
ejpam-4987	37	21	and	and	CCONJ
ejpam-4987	37	22	hepatocellular	hepatocellular	ADJ
ejpam-4987	37	23	carcinoma	carcinoma	NOUN
ejpam-4987	37	24	.	.	PUNCT
ejpam-4987	38	1	according	accord	VERB
ejpam-4987	38	2	to	to	ADP
ejpam-4987	38	3	the	the	DET
ejpam-4987	38	4	world	world	PROPN
ejpam-4987	38	5	health	health	NOUN
ejpam-4987	38	6	organization	organization	NOUN
ejpam-4987	38	7	(	(	PUNCT
ejpam-4987	38	8	who	who	PRON
ejpam-4987	38	9	)	)	PUNCT
ejpam-4987	38	10	,	,	PUNCT
ejpam-4987	38	11	about	about	ADV
ejpam-4987	38	12	25	25	NUM
ejpam-4987	38	13	%	%	NOUN
ejpam-4987	38	14	of	of	ADP
ejpam-4987	38	15	people	people	NOUN
ejpam-4987	38	16	with	with	ADP
ejpam-4987	38	17	chronic	chronic	ADJ
ejpam-4987	38	18	hepatitis	hepatitis	NOUN
ejpam-4987	38	19	b	b	PROPN
ejpam-4987	38	20	infection	infection	NOUN
ejpam-4987	38	21	develop	develop	VERB
ejpam-4987	38	22	cirrhosis	cirrhosis	NOUN
ejpam-4987	38	23	or	or	CCONJ
ejpam-4987	38	24	liver	liver	NOUN
ejpam-4987	38	25	cancer	cancer	NOUN
ejpam-4987	38	26	,	,	PUNCT
ejpam-4987	38	27	which	which	PRON
ejpam-4987	38	28	can	can	AUX
ejpam-4987	38	29	lead	lead	VERB
ejpam-4987	38	30	to	to	ADP
ejpam-4987	38	31	a	a	DET
ejpam-4987	38	32	premature	premature	ADJ
ejpam-4987	38	33	death	death	NOUN
ejpam-4987	38	34	if	if	SCONJ
ejpam-4987	38	35	left	leave	VERB
ejpam-4987	38	36	untreated	untreated	ADJ
ejpam-4987	38	37	[	[	X
ejpam-4987	38	38	19	19	NUM
ejpam-4987	38	39	,	,	PUNCT
ejpam-4987	38	40	34	34	NUM
ejpam-4987	38	41	]	]	PUNCT
ejpam-4987	38	42	.	.	PUNCT
ejpam-4987	39	1	indeed	indeed	ADV
ejpam-4987	39	2	,	,	PUNCT
ejpam-4987	39	3	the	the	DET
ejpam-4987	39	4	risk	risk	NOUN
ejpam-4987	39	5	of	of	ADP
ejpam-4987	39	6	becoming	become	VERB
ejpam-4987	39	7	chronic	chronic	ADJ
ejpam-4987	39	8	,	,	PUNCT
ejpam-4987	39	9	and	and	CCONJ
ejpam-4987	39	10	of	of	ADP
ejpam-4987	39	11	complications	complication	NOUN
ejpam-4987	39	12	such	such	ADJ
ejpam-4987	39	13	as	as	ADP
ejpam-4987	39	14	liver	liver	NOUN
ejpam-4987	39	15	cirrhosis	cirrhosis	NOUN
ejpam-4987	39	16	and/or	and/or	CCONJ
ejpam-4987	39	17	hepatocellular	hepatocellular	ADJ
ejpam-4987	39	18	carcinoma	carcinoma	NOUN
ejpam-4987	39	19	(	(	PUNCT
ejpam-4987	39	20	liver	liver	NOUN
ejpam-4987	39	21	cancer	cancer	NOUN
ejpam-4987	39	22	)	)	PUNCT
ejpam-4987	39	23	,	,	PUNCT
ejpam-4987	39	24	makes	make	VERB
ejpam-4987	39	25	it	it	PRON
ejpam-4987	39	26	a	a	DET
ejpam-4987	39	27	serious	serious	ADJ
ejpam-4987	39	28	pathology	pathology	NOUN
ejpam-4987	39	29	since	since	SCONJ
ejpam-4987	39	30	it	it	PRON
ejpam-4987	39	31	causes	cause	VERB
ejpam-4987	39	32	more	more	ADJ
ejpam-4987	39	33	than	than	ADP
ejpam-4987	39	34	5000	5000	NUM
ejpam-4987	39	35	deaths	death	NOUN
ejpam-4987	39	36	per	per	ADP
ejpam-4987	39	37	year	year	NOUN
ejpam-4987	39	38	in	in	ADP
ejpam-4987	39	39	burkina	burkina	PROPN
ejpam-4987	39	40	faso	faso	PROPN
ejpam-4987	39	41	[	[	X
ejpam-4987	39	42	32	32	NUM
ejpam-4987	39	43	]	]	PUNCT
ejpam-4987	39	44	.	.	PUNCT
ejpam-4987	40	1	this	this	DET
ejpam-4987	40	2	latter	latter	ADJ
ejpam-4987	40	3	is	be	AUX
ejpam-4987	40	4	classified	classify	VERB
ejpam-4987	40	5	as	as	ADP
ejpam-4987	40	6	one	one	NUM
ejpam-4987	40	7	of	of	ADP
ejpam-4987	40	8	the	the	DET
ejpam-4987	40	9	high	high	ADJ
ejpam-4987	40	10	-	-	PUNCT
ejpam-4987	40	11	endemicity	endemicity	NOUN
ejpam-4987	40	12	countries	country	NOUN
ejpam-4987	40	13	(	(	PUNCT
ejpam-4987	40	14	seroprevalence	seroprevalence	NOUN
ejpam-4987	40	15	>	>	X
ejpam-4987	40	16	8	8	NUM
ejpam-4987	40	17	%	%	NOUN
ejpam-4987	40	18	)	)	PUNCT
ejpam-4987	41	1	[	[	X
ejpam-4987	41	2	34	34	NUM
ejpam-4987	41	3	]	]	PUNCT
ejpam-4987	41	4	.	.	PUNCT
ejpam-4987	42	1	furthermore	furthermore	ADV
ejpam-4987	42	2	,	,	PUNCT
ejpam-4987	42	3	in	in	ADP
ejpam-4987	42	4	2011	2011	NUM
ejpam-4987	42	5	’s	’s	PART
ejpam-4987	42	6	demographic	demographic	ADJ
ejpam-4987	42	7	health	health	NOUN
ejpam-4987	42	8	survey	survey	NOUN
ejpam-4987	42	9	,	,	PUNCT
ejpam-4987	42	10	hbv	hbv	NOUN
ejpam-4987	42	11	seroprevalence	seroprevalence	NOUN
ejpam-4987	42	12	was	be	AUX
ejpam-4987	42	13	estimated	estimate	VERB
ejpam-4987	42	14	to	to	PART
ejpam-4987	42	15	be	be	AUX
ejpam-4987	42	16	9.1	9.1	NUM
ejpam-4987	42	17	%	%	NOUN
ejpam-4987	42	18	[	[	X
ejpam-4987	42	19	31	31	NUM
ejpam-4987	42	20	]	]	PUNCT
ejpam-4987	42	21	.	.	PUNCT
ejpam-4987	43	1	also	also	ADV
ejpam-4987	43	2	,	,	PUNCT
ejpam-4987	43	3	a	a	DET
ejpam-4987	43	4	study	study	NOUN
ejpam-4987	43	5	conducted	conduct	VERB
ejpam-4987	43	6	in	in	ADP
ejpam-4987	43	7	ouagadougou	ouagadougou	PROPN
ejpam-4987	43	8	(	(	PUNCT
ejpam-4987	43	9	(	(	PUNCT
ejpam-4987	43	10	the	the	DET
ejpam-4987	43	11	capital	capital	NOUN
ejpam-4987	43	12	city	city	NOUN
ejpam-4987	43	13	of	of	ADP
ejpam-4987	43	14	burkina	burkina	PROPN
ejpam-4987	43	15	faso	faso	PROPN
ejpam-4987	43	16	)	)	PUNCT
ejpam-4987	43	17	)	)	PUNCT
ejpam-4987	43	18	revealed	reveal	VERB
ejpam-4987	43	19	a	a	DET
ejpam-4987	43	20	prevalence	prevalence	NOUN
ejpam-4987	43	21	of	of	ADP
ejpam-4987	43	22	14.5	14.5	NUM
ejpam-4987	43	23	%	%	NOUN
ejpam-4987	43	24	in	in	ADP
ejpam-4987	43	25	the	the	DET
ejpam-4987	43	26	general	general	ADJ
ejpam-4987	43	27	population	population	NOUN
ejpam-4987	44	1	[	[	X
ejpam-4987	44	2	39	39	NUM
ejpam-4987	44	3	]	]	PUNCT
ejpam-4987	44	4	.	.	PUNCT
ejpam-4987	45	1	thus	thus	ADV
ejpam-4987	45	2	,	,	PUNCT
ejpam-4987	45	3	nearly	nearly	ADV
ejpam-4987	45	4	2	2	NUM
ejpam-4987	45	5	million	million	NUM
ejpam-4987	45	6	people	people	NOUN
ejpam-4987	45	7	in	in	ADP
ejpam-4987	45	8	burkina	burkina	PROPN
ejpam-4987	45	9	faso	faso	PROPN
ejpam-4987	45	10	are	be	AUX
ejpam-4987	45	11	infected	infect	VERB
ejpam-4987	45	12	with	with	ADP
ejpam-4987	45	13	hbv	hbv	NOUN
ejpam-4987	45	14	.	.	PUNCT
ejpam-4987	46	1	nevertheless	nevertheless	ADV
ejpam-4987	46	2	,	,	PUNCT
ejpam-4987	46	3	the	the	DET
ejpam-4987	46	4	actual	actual	ADJ
ejpam-4987	46	5	number	number	NOUN
ejpam-4987	46	6	of	of	ADP
ejpam-4987	46	7	infected	infected	ADJ
ejpam-4987	46	8	people	people	NOUN
ejpam-4987	46	9	in	in	ADP
ejpam-4987	46	10	burkina	burkina	PROPN
ejpam-4987	46	11	faso	faso	PROPN
ejpam-4987	46	12	may	may	AUX
ejpam-4987	46	13	be	be	AUX
ejpam-4987	46	14	higher	high	ADJ
ejpam-4987	46	15	,	,	PUNCT
ejpam-4987	46	16	as	as	SCONJ
ejpam-4987	46	17	many	many	ADJ
ejpam-4987	46	18	people	people	NOUN
ejpam-4987	46	19	with	with	ADP
ejpam-4987	46	20	chronic	chronic	ADJ
ejpam-4987	46	21	hbv	hbv	NOUN
ejpam-4987	46	22	infection	infection	NOUN
ejpam-4987	46	23	may	may	AUX
ejpam-4987	46	24	not	not	PART
ejpam-4987	46	25	know	know	VERB
ejpam-4987	46	26	that	that	SCONJ
ejpam-4987	46	27	they	they	PRON
ejpam-4987	46	28	are	be	AUX
ejpam-4987	46	29	infected	infect	VERB
ejpam-4987	46	30	due	due	ADP
ejpam-4987	46	31	to	to	ADP
ejpam-4987	46	32	the	the	DET
ejpam-4987	46	33	absence	absence	NOUN
ejpam-4987	46	34	of	of	ADP
ejpam-4987	46	35	symptoms	symptom	NOUN
ejpam-4987	46	36	or	or	CCONJ
ejpam-4987	46	37	awareness	awareness	NOUN
ejpam-4987	46	38	of	of	ADP
ejpam-4987	46	39	the	the	DET
ejpam-4987	46	40	disease	disease	NOUN
ejpam-4987	46	41	.	.	PUNCT
ejpam-4987	47	1	the	the	DET
ejpam-4987	47	2	distribution	distribution	NOUN
ejpam-4987	47	3	of	of	ADP
ejpam-4987	47	4	the	the	DET
ejpam-4987	47	5	prevalence	prevalence	NOUN
ejpam-4987	47	6	of	of	ADP
ejpam-4987	47	7	hbv	hbv	NOUN
ejpam-4987	47	8	infection	infection	NOUN
ejpam-4987	47	9	in	in	ADP
ejpam-4987	47	10	the	the	DET
ejpam-4987	47	11	regions	region	NOUN
ejpam-4987	47	12	of	of	ADP
ejpam-4987	47	13	burkina	burkina	PROPN
ejpam-4987	47	14	faso	faso	PROPN
ejpam-4987	47	15	is	be	AUX
ejpam-4987	47	16	shown	show	VERB
ejpam-4987	47	17	in	in	ADP
ejpam-4987	47	18	figure	figure	NOUN
ejpam-4987	47	19	1	1	NUM
ejpam-4987	47	20	.	.	PUNCT
ejpam-4987	48	1	the	the	DET
ejpam-4987	48	2	main	main	ADJ
ejpam-4987	48	3	mode	mode	NOUN
ejpam-4987	48	4	of	of	ADP
ejpam-4987	48	5	hepatitis	hepatitis	PROPN
ejpam-4987	48	6	b	b	PROPN
ejpam-4987	48	7	virus	virus	NOUN
ejpam-4987	48	8	(	(	PUNCT
ejpam-4987	48	9	hbv	hbv	NOUN
ejpam-4987	48	10	)	)	PUNCT
ejpam-4987	48	11	transmission	transmission	NOUN
ejpam-4987	48	12	in	in	ADP
ejpam-4987	48	13	highly	highly	ADV
ejpam-4987	48	14	endemic	endemic	ADJ
ejpam-4987	48	15	regions	region	NOUN
ejpam-4987	48	16	such	such	ADJ
ejpam-4987	48	17	as	as	ADP
ejpam-4987	48	18	burkina	burkina	PROPN
ejpam-4987	48	19	faso	faso	PROPN
ejpam-4987	48	20	is	be	AUX
ejpam-4987	48	21	through	through	ADP
ejpam-4987	48	22	mother	mother	NOUN
ejpam-4987	48	23	-	-	PUNCT
ejpam-4987	48	24	to	to	ADP
ejpam-4987	48	25	-	-	PUNCT
ejpam-4987	48	26	child	child	NOUN
ejpam-4987	48	27	transmission	transmission	NOUN
ejpam-4987	48	28	during	during	ADP
ejpam-4987	48	29	childbirth	childbirth	NOUN
ejpam-4987	48	30	,	,	PUNCT
ejpam-4987	48	31	or	or	CCONJ
ejpam-4987	48	32	through	through	ADP
ejpam-4987	48	33	close	close	ADJ
ejpam-4987	48	34	contact	contact	NOUN
ejpam-4987	48	35	with	with	ADP
ejpam-4987	48	36	infected	infected	ADJ
ejpam-4987	48	37	family	family	NOUN
ejpam-4987	48	38	members	member	NOUN
ejpam-4987	48	39	in	in	ADP
ejpam-4987	48	40	early	early	ADJ
ejpam-4987	48	41	childhood	childhood	NOUN
ejpam-4987	48	42	.	.	PUNCT
ejpam-4987	49	1	this	this	DET
ejpam-4987	49	2	mode	mode	NOUN
ejpam-4987	49	3	is	be	AUX
ejpam-4987	49	4	known	know	VERB
ejpam-4987	49	5	as	as	ADP
ejpam-4987	49	6	vertical	vertical	ADJ
ejpam-4987	49	7	transmission	transmission	NOUN
ejpam-4987	49	8	of	of	ADP
ejpam-4987	49	9	hbv	hbv	NOUN
ejpam-4987	49	10	.	.	PUNCT
ejpam-4987	50	1	in	in	ADP
ejpam-4987	50	2	the	the	DET
ejpam-4987	50	3	endemic	endemic	ADJ
ejpam-4987	50	4	regions	region	NOUN
ejpam-4987	50	5	,	,	PUNCT
ejpam-4987	50	6	hbv	hbv	NOUN
ejpam-4987	50	7	is	be	AUX
ejpam-4987	50	8	often	often	ADV
ejpam-4987	50	9	transmitted	transmit	VERB
ejpam-4987	50	10	from	from	ADP
ejpam-4987	50	11	infected	infect	VERB
ejpam-4987	50	12	mothers	mother	NOUN
ejpam-4987	50	13	to	to	ADP
ejpam-4987	50	14	their	their	PRON
ejpam-4987	50	15	babies	baby	NOUN
ejpam-4987	50	16	during	during	ADP
ejpam-4987	50	17	delivery	delivery	NOUN
ejpam-4987	50	18	,	,	PUNCT
ejpam-4987	50	19	more	more	ADV
ejpam-4987	50	20	particularly	particularly	ADV
ejpam-4987	50	21	when	when	SCONJ
ejpam-4987	50	22	the	the	DET
ejpam-4987	50	23	mother	mother	NOUN
ejpam-4987	50	24	is	be	AUX
ejpam-4987	50	25	tested	test	VERB
ejpam-4987	50	26	positive	positive	ADJ
ejpam-4987	50	27	for	for	ADP
ejpam-4987	50	28	hepatitis	hepatitis	PROPN
ejpam-4987	50	29	b	b	PROPN
ejpam-4987	50	30	surface	surface	NOUN
ejpam-4987	50	31	antigen	antigen	NOUN
ejpam-4987	50	32	(	(	PUNCT
ejpam-4987	50	33	hbsag	hbsag	NOUN
ejpam-4987	50	34	)	)	PUNCT
ejpam-4987	50	35	and	and	CCONJ
ejpam-4987	50	36	hepatitis	hepatitis	PROPN
ejpam-4987	50	37	b	b	PROPN
ejpam-4987	50	38	e	e	X
ejpam-4987	50	39	antigen	antigen	X
ejpam-4987	50	40	(	(	PUNCT
ejpam-4987	50	41	hbeag	hbeag	NOUN
ejpam-4987	50	42	)	)	PUNCT
ejpam-4987	51	1	[	[	X
ejpam-4987	51	2	33	33	NUM
ejpam-4987	51	3	]	]	PUNCT
ejpam-4987	51	4	.	.	PUNCT
ejpam-4987	52	1	transmission	transmission	NOUN
ejpam-4987	52	2	of	of	ADP
ejpam-4987	52	3	hbv	hbv	NOUN
ejpam-4987	52	4	during	during	ADP
ejpam-4987	52	5	perinatal	perinatal	ADJ
ejpam-4987	52	6	period	period	NOUN
ejpam-4987	52	7	or	or	CCONJ
ejpam-4987	52	8	the	the	DET
ejpam-4987	52	9	first	first	ADJ
ejpam-4987	52	10	years	year	NOUN
ejpam-4987	52	11	of	of	ADP
ejpam-4987	52	12	childhood	childhood	NOUN
ejpam-4987	52	13	has	have	VERB
ejpam-4987	52	14	a	a	DET
ejpam-4987	52	15	very	very	ADV
ejpam-4987	52	16	high	high	ADJ
ejpam-4987	52	17	probability	probability	NOUN
ejpam-4987	52	18	of	of	ADP
ejpam-4987	52	19	being	be	AUX
ejpam-4987	52	20	transmitted	transmit	VERB
ejpam-4987	52	21	to	to	ADP
ejpam-4987	52	22	a	a	DET
ejpam-4987	52	23	chronic	chronic	ADJ
ejpam-4987	52	24	disease	disease	NOUN
ejpam-4987	52	25	.	.	PUNCT
ejpam-4987	53	1	a	a	DET
ejpam-4987	53	2	pregnant	pregnant	ADJ
ejpam-4987	53	3	woman	woman	NOUN
ejpam-4987	53	4	with	with	ADP
ejpam-4987	53	5	hbv	hbv	NOUN
ejpam-4987	53	6	can	can	AUX
ejpam-4987	53	7	infect	infect	VERB
ejpam-4987	53	8	her	her	PRON
ejpam-4987	53	9	child	child	NOUN
ejpam-4987	53	10	at	at	ADP
ejpam-4987	53	11	delivery	delivery	NOUN
ejpam-4987	53	12	or	or	CCONJ
ejpam-4987	53	13	during	during	ADP
ejpam-4987	53	14	the	the	DET
ejpam-4987	53	15	first	first	ADJ
ejpam-4987	53	16	months	month	NOUN
ejpam-4987	53	17	of	of	ADP
ejpam-4987	53	18	the	the	DET
ejpam-4987	53	19	infant	infant	NOUN
ejpam-4987	53	20	’s	’s	PART
ejpam-4987	53	21	life	life	NOUN
ejpam-4987	53	22	,	,	PUNCT
ejpam-4987	53	23	either	either	CCONJ
ejpam-4987	53	24	through	through	ADP
ejpam-4987	53	25	breastfeeding	breastfeeding	NOUN
ejpam-4987	53	26	or	or	CCONJ
ejpam-4987	53	27	through	through	ADP
ejpam-4987	53	28	extremely	extremely	ADV
ejpam-4987	53	29	close	close	ADJ
ejpam-4987	53	30	contact	contact	NOUN
ejpam-4987	53	31	(	(	PUNCT
ejpam-4987	53	32	perinatal	perinatal	ADJ
ejpam-4987	53	33	transmission	transmission	NOUN
ejpam-4987	53	34	)	)	PUNCT
ejpam-4987	53	35	.	.	PUNCT
ejpam-4987	54	1	the	the	DET
ejpam-4987	54	2	w.-o	w.-o	PROPN
ejpam-4987	54	3	sawadogo	sawadogo	VERB
ejpam-4987	54	4	et	et	PROPN
ejpam-4987	54	5	al	al	PROPN
ejpam-4987	54	6	.	.	PUNCT
ejpam-4987	54	7	/	/	SYM
ejpam-4987	54	8	eur	eur	PROPN
ejpam-4987	54	9	.	.	PUNCT
ejpam-4987	55	1	j.	j.	PROPN
ejpam-4987	55	2	pure	pure	PROPN
ejpam-4987	55	3	appl	appl	PROPN
ejpam-4987	55	4	.	.	PROPN
ejpam-4987	55	5	math	math	PROPN
ejpam-4987	55	6	,	,	PUNCT
ejpam-4987	55	7	17	17	NUM
ejpam-4987	55	8	(	(	PUNCT
ejpam-4987	55	9	1	1	NUM
ejpam-4987	55	10	)	)	PUNCT
ejpam-4987	55	11	(	(	PUNCT
ejpam-4987	55	12	2024	2024	NUM
ejpam-4987	55	13	)	)	PUNCT
ejpam-4987	55	14	,	,	PUNCT
ejpam-4987	55	15	59	59	NUM
ejpam-4987	55	16	-	-	SYM
ejpam-4987	55	17	92	92	NUM
ejpam-4987	55	18	61	61	NUM
ejpam-4987	55	19	risk	risk	NOUN
ejpam-4987	55	20	of	of	ADP
ejpam-4987	55	21	transmission	transmission	NOUN
ejpam-4987	55	22	in	in	ADP
ejpam-4987	55	23	the	the	DET
ejpam-4987	55	24	mother	mother	NOUN
ejpam-4987	55	25	’s	’s	PART
ejpam-4987	55	26	womb	womb	NOUN
ejpam-4987	55	27	is	be	AUX
ejpam-4987	55	28	related	relate	VERB
ejpam-4987	55	29	to	to	ADP
ejpam-4987	55	30	the	the	DET
ejpam-4987	55	31	maternal	maternal	ADJ
ejpam-4987	55	32	viremia	viremia	NOUN
ejpam-4987	55	33	.	.	PUNCT
ejpam-4987	56	1	the	the	DET
ejpam-4987	56	2	risk	risk	NOUN
ejpam-4987	56	3	of	of	ADP
ejpam-4987	56	4	infection	infection	NOUN
ejpam-4987	56	5	with	with	ADP
ejpam-4987	56	6	hbv	hbv	NOUN
ejpam-4987	56	7	may	may	AUX
ejpam-4987	56	8	also	also	ADV
ejpam-4987	56	9	be	be	AUX
ejpam-4987	56	10	higher	high	ADJ
ejpam-4987	56	11	for	for	ADP
ejpam-4987	56	12	individuals	individual	NOUN
ejpam-4987	56	13	who	who	PRON
ejpam-4987	56	14	engage	engage	VERB
ejpam-4987	56	15	in	in	ADP
ejpam-4987	56	16	high	high	ADJ
ejpam-4987	56	17	-	-	PUNCT
ejpam-4987	56	18	risk	risk	NOUN
ejpam-4987	56	19	behaviours	behaviour	NOUN
ejpam-4987	56	20	,	,	PUNCT
ejpam-4987	56	21	such	such	ADJ
ejpam-4987	56	22	as	as	ADP
ejpam-4987	56	23	injecting	inject	VERB
ejpam-4987	56	24	drugs	drug	NOUN
ejpam-4987	56	25	,	,	PUNCT
ejpam-4987	56	26	having	have	VERB
ejpam-4987	56	27	unprotected	unprotected	ADJ
ejpam-4987	56	28	sex	sex	NOUN
ejpam-4987	56	29	with	with	ADP
ejpam-4987	56	30	infected	infected	ADJ
ejpam-4987	56	31	partners	partner	NOUN
ejpam-4987	56	32	,	,	PUNCT
ejpam-4987	56	33	or	or	CCONJ
ejpam-4987	56	34	getting	get	VERB
ejpam-4987	56	35	tattoos	tattoo	NOUN
ejpam-4987	56	36	or	or	CCONJ
ejpam-4987	56	37	piercings	piercing	NOUN
ejpam-4987	56	38	with	with	ADP
ejpam-4987	56	39	unsterilised	unsterilised	ADJ
ejpam-4987	56	40	equipments	equipment	NOUN
ejpam-4987	56	41	.	.	PUNCT
ejpam-4987	57	1	in	in	ADP
ejpam-4987	57	2	addition	addition	NOUN
ejpam-4987	57	3	,	,	PUNCT
ejpam-4987	57	4	transmission	transmission	NOUN
ejpam-4987	57	5	between	between	ADP
ejpam-4987	57	6	individuals	individual	NOUN
ejpam-4987	57	7	living	live	VERB
ejpam-4987	57	8	in	in	ADP
ejpam-4987	57	9	the	the	DET
ejpam-4987	57	10	same	same	ADJ
ejpam-4987	57	11	household	household	NOUN
ejpam-4987	57	12	could	could	AUX
ejpam-4987	57	13	be	be	AUX
ejpam-4987	57	14	linked	link	VERB
ejpam-4987	57	15	to	to	ADP
ejpam-4987	57	16	the	the	DET
ejpam-4987	57	17	sharing	sharing	NOUN
ejpam-4987	57	18	of	of	ADP
ejpam-4987	57	19	toiletries	toiletry	NOUN
ejpam-4987	57	20	that	that	PRON
ejpam-4987	57	21	cause	cause	VERB
ejpam-4987	57	22	small	small	ADJ
ejpam-4987	57	23	wounds	wound	NOUN
ejpam-4987	57	24	,	,	PUNCT
ejpam-4987	57	25	as	as	ADV
ejpam-4987	57	26	well	well	ADV
ejpam-4987	57	27	as	as	ADP
ejpam-4987	57	28	razors	razor	NOUN
ejpam-4987	57	29	,	,	PUNCT
ejpam-4987	57	30	toothbrushes	toothbrush	NOUN
ejpam-4987	57	31	and	and	CCONJ
ejpam-4987	57	32	nail	nail	NOUN
ejpam-4987	57	33	clippers	clipper	NOUN
ejpam-4987	57	34	.	.	PUNCT
ejpam-4987	58	1	promiscuity	promiscuity	NOUN
ejpam-4987	58	2	and	and	CCONJ
ejpam-4987	58	3	unsanitary	unsanitary	ADJ
ejpam-4987	58	4	conditions	condition	NOUN
ejpam-4987	58	5	may	may	AUX
ejpam-4987	58	6	be	be	AUX
ejpam-4987	58	7	risk	risk	NOUN
ejpam-4987	58	8	factors	factor	NOUN
ejpam-4987	58	9	for	for	ADP
ejpam-4987	58	10	the	the	DET
ejpam-4987	58	11	transmission	transmission	NOUN
ejpam-4987	58	12	of	of	ADP
ejpam-4987	58	13	hbv	hbv	NOUN
ejpam-4987	58	14	,	,	PUNCT
ejpam-4987	58	15	although	although	SCONJ
ejpam-4987	58	16	they	they	PRON
ejpam-4987	58	17	are	be	AUX
ejpam-4987	58	18	not	not	PART
ejpam-4987	58	19	the	the	DET
ejpam-4987	58	20	only	only	ADJ
ejpam-4987	58	21	ones	one	NOUN
ejpam-4987	58	22	.	.	PUNCT
ejpam-4987	59	1	figure	figure	VERB
ejpam-4987	59	2	1	1	NUM
ejpam-4987	59	3	:	:	PUNCT
ejpam-4987	59	4	burkina	burkina	PROPN
ejpam-4987	59	5	faso	faso	PROPN
ejpam-4987	59	6	distribution	distribution	NOUN
ejpam-4987	59	7	of	of	ADP
ejpam-4987	59	8	hbv	hbv	NOUN
ejpam-4987	59	9	prevalence	prevalence	NOUN
ejpam-4987	60	1	[	[	X
ejpam-4987	60	2	31	31	NUM
ejpam-4987	60	3	]	]	PUNCT
ejpam-4987	60	4	the	the	DET
ejpam-4987	60	5	hepatitis	hepatitis	PROPN
ejpam-4987	60	6	b	b	PROPN
ejpam-4987	60	7	virus	virus	NOUN
ejpam-4987	60	8	is	be	AUX
ejpam-4987	60	9	an	an	DET
ejpam-4987	60	10	enveloped	envelop	VERB
ejpam-4987	60	11	virus	virus	NOUN
ejpam-4987	60	12	belonging	belong	VERB
ejpam-4987	60	13	to	to	ADP
ejpam-4987	60	14	the	the	DET
ejpam-4987	60	15	hepadnaviridae	hepadnaviridae	NOUN
ejpam-4987	60	16	family	family	NOUN
ejpam-4987	60	17	and	and	CCONJ
ejpam-4987	60	18	the	the	DET
ejpam-4987	60	19	orthohepadnavirus	orthohepadnavirus	NOUN
ejpam-4987	60	20	genus	genus	NOUN
ejpam-4987	60	21	.	.	PUNCT
ejpam-4987	61	1	it	it	PRON
ejpam-4987	61	2	is	be	AUX
ejpam-4987	61	3	a	a	DET
ejpam-4987	61	4	very	very	ADV
ejpam-4987	61	5	contagious	contagious	ADJ
ejpam-4987	61	6	virus	virus	NOUN
ejpam-4987	61	7	.	.	PUNCT
ejpam-4987	62	1	the	the	DET
ejpam-4987	62	2	reservoir	reservoir	NOUN
ejpam-4987	62	3	of	of	ADP
ejpam-4987	62	4	hbv	hbv	NOUN
ejpam-4987	62	5	is	be	AUX
ejpam-4987	62	6	strictly	strictly	ADV
ejpam-4987	62	7	human	human	ADJ
ejpam-4987	62	8	,	,	PUNCT
ejpam-4987	62	9	meaning	mean	VERB
ejpam-4987	62	10	that	that	SCONJ
ejpam-4987	62	11	the	the	DET
ejpam-4987	62	12	virus	virus	NOUN
ejpam-4987	62	13	only	only	ADV
ejpam-4987	62	14	infects	infect	VERB
ejpam-4987	62	15	humans	human	NOUN
ejpam-4987	62	16	and	and	CCONJ
ejpam-4987	62	17	has	have	VERB
ejpam-4987	62	18	no	no	DET
ejpam-4987	62	19	other	other	ADJ
ejpam-4987	62	20	natural	natural	ADJ
ejpam-4987	62	21	host	host	NOUN
ejpam-4987	62	22	.	.	PUNCT
ejpam-4987	63	1	it	it	PRON
ejpam-4987	63	2	can	can	AUX
ejpam-4987	63	3	survive	survive	VERB
ejpam-4987	63	4	in	in	ADP
ejpam-4987	63	5	the	the	DET
ejpam-4987	63	6	outdoor	outdoor	ADJ
ejpam-4987	63	7	environment	environment	NOUN
ejpam-4987	63	8	for	for	ADP
ejpam-4987	63	9	at	at	ADV
ejpam-4987	63	10	least	least	ADV
ejpam-4987	63	11	7	7	NUM
ejpam-4987	63	12	days	day	NOUN
ejpam-4987	63	13	and	and	CCONJ
ejpam-4987	63	14	remain	remain	VERB
ejpam-4987	63	15	infectious	infectious	ADJ
ejpam-4987	63	16	on	on	ADP
ejpam-4987	63	17	surfaces	surface	NOUN
ejpam-4987	63	18	,	,	PUNCT
ejpam-4987	63	19	such	such	ADJ
ejpam-4987	63	20	as	as	ADP
ejpam-4987	63	21	needles	needle	NOUN
ejpam-4987	63	22	or	or	CCONJ
ejpam-4987	63	23	other	other	ADJ
ejpam-4987	63	24	medical	medical	ADJ
ejpam-4987	63	25	equipments	equipment	NOUN
ejpam-4987	63	26	,	,	PUNCT
ejpam-4987	63	27	for	for	ADP
ejpam-4987	63	28	even	even	ADV
ejpam-4987	63	29	longer	long	ADV
ejpam-4987	63	30	[	[	X
ejpam-4987	63	31	7	7	NUM
ejpam-4987	63	32	]	]	PUNCT
ejpam-4987	63	33	.	.	PUNCT
ejpam-4987	64	1	hepatitis	hepatitis	PROPN
ejpam-4987	64	2	b	b	PROPN
ejpam-4987	64	3	is	be	AUX
ejpam-4987	64	4	considered	consider	VERB
ejpam-4987	64	5	as	as	ADP
ejpam-4987	64	6	a	a	DET
ejpam-4987	64	7	dna	dna	PROPN
ejpam-4987	64	8	virus	virus	NOUN
ejpam-4987	64	9	(	(	PUNCT
ejpam-4987	64	10	deoxyribonuclease	deoxyribonuclease	NOUN
ejpam-4987	64	11	acid	acid	NOUN
ejpam-4987	64	12	)	)	PUNCT
ejpam-4987	64	13	with	with	ADP
ejpam-4987	64	14	3	3	NUM
ejpam-4987	64	15	antigenic	antigenic	ADJ
ejpam-4987	64	16	systems	system	NOUN
ejpam-4987	64	17	,	,	PUNCT
ejpam-4987	64	18	hbsag	hbsag	NOUN
ejpam-4987	64	19	(	(	PUNCT
ejpam-4987	64	20	hepatitis	hepatitis	NOUN
ejpam-4987	64	21	b	b	PROPN
ejpam-4987	64	22	surface	surface	NOUN
ejpam-4987	64	23	antigen	antigen	ADV
ejpam-4987	64	24	)	)	PUNCT
ejpam-4987	64	25	for	for	ADP
ejpam-4987	64	26	the	the	DET
ejpam-4987	64	27	outer	outer	ADJ
ejpam-4987	64	28	capsule	capsule	NOUN
ejpam-4987	64	29	,	,	PUNCT
ejpam-4987	64	30	hbcag	hbcag	PROPN
ejpam-4987	64	31	(	(	PUNCT
ejpam-4987	64	32	hepatitis	hepatitis	NOUN
ejpam-4987	64	33	b	b	PROPN
ejpam-4987	64	34	core	core	NOUN
ejpam-4987	64	35	antigen	antigen	NOUN
ejpam-4987	64	36	)	)	PUNCT
ejpam-4987	64	37	and	and	CCONJ
ejpam-4987	64	38	hbeag	hbeag	ADV
ejpam-4987	64	39	(	(	PUNCT
ejpam-4987	64	40	hepatitis	hepatitis	NOUN
ejpam-4987	64	41	b	b	PROPN
ejpam-4987	64	42	”	"	PUNCT
ejpam-4987	64	43	e	e	NOUN
ejpam-4987	64	44	”	"	PUNCT
ejpam-4987	64	45	antigen	antigen	ADV
ejpam-4987	64	46	)	)	PUNCT
ejpam-4987	64	47	for	for	ADP
ejpam-4987	64	48	the	the	DET
ejpam-4987	64	49	internal	internal	ADJ
ejpam-4987	64	50	nucleocapsid	nucleocapsid	NOUN
ejpam-4987	64	51	.	.	PUNCT
ejpam-4987	65	1	hbeag	hbeag	PROPN
ejpam-4987	65	2	is	be	AUX
ejpam-4987	65	3	associated	associate	VERB
ejpam-4987	65	4	with	with	ADP
ejpam-4987	65	5	high	high	ADJ
ejpam-4987	65	6	viral	viral	ADJ
ejpam-4987	65	7	replication	replication	NOUN
ejpam-4987	65	8	,	,	PUNCT
ejpam-4987	65	9	but	but	CCONJ
ejpam-4987	65	10	due	due	ADP
ejpam-4987	65	11	to	to	ADP
ejpam-4987	65	12	certain	certain	ADJ
ejpam-4987	65	13	mutations	mutation	NOUN
ejpam-4987	65	14	,	,	PUNCT
ejpam-4987	65	15	hbeag	hbeag	ADV
ejpam-4987	65	16	is	be	AUX
ejpam-4987	65	17	not	not	PART
ejpam-4987	65	18	detected	detect	VERB
ejpam-4987	65	19	in	in	ADP
ejpam-4987	65	20	the	the	DET
ejpam-4987	65	21	serum	serum	NOUN
ejpam-4987	65	22	although	although	SCONJ
ejpam-4987	65	23	viral	viral	ADJ
ejpam-4987	65	24	replication	replication	NOUN
ejpam-4987	65	25	is	be	AUX
ejpam-4987	65	26	presented	present	VERB
ejpam-4987	65	27	.	.	PUNCT
ejpam-4987	66	1	in	in	ADP
ejpam-4987	66	2	clinical	clinical	ADJ
ejpam-4987	66	3	practices	practice	NOUN
ejpam-4987	66	4	in	in	ADP
ejpam-4987	66	5	burkina	burkina	PROPN
ejpam-4987	66	6	faso	faso	PROPN
ejpam-4987	66	7	,	,	PUNCT
ejpam-4987	66	8	hbeag	hbeag	ADV
ejpam-4987	66	9	negative	negative	ADJ
ejpam-4987	66	10	patients	patient	NOUN
ejpam-4987	66	11	represent	represent	VERB
ejpam-4987	66	12	about	about	ADV
ejpam-4987	66	13	90	90	NUM
ejpam-4987	66	14	%	%	NOUN
ejpam-4987	66	15	.	.	PUNCT
ejpam-4987	67	1	thus	thus	ADV
ejpam-4987	67	2	,	,	PUNCT
ejpam-4987	67	3	the	the	DET
ejpam-4987	67	4	best	good	ADJ
ejpam-4987	67	5	marker	marker	NOUN
ejpam-4987	67	6	of	of	ADP
ejpam-4987	67	7	viral	viral	ADJ
ejpam-4987	67	8	multiplication	multiplication	NOUN
ejpam-4987	67	9	is	be	AUX
ejpam-4987	67	10	the	the	DET
ejpam-4987	67	11	w.-o	w.-o	NOUN
ejpam-4987	67	12	sawadogo	sawadogo	VERB
ejpam-4987	67	13	et	et	PROPN
ejpam-4987	67	14	al	al	PROPN
ejpam-4987	68	1	.	.	PUNCT
ejpam-4987	68	2	/	/	SYM
ejpam-4987	68	3	eur	eur	PROPN
ejpam-4987	68	4	.	.	PUNCT
ejpam-4987	69	1	j.	j.	PROPN
ejpam-4987	69	2	pure	pure	PROPN
ejpam-4987	69	3	appl	appl	PROPN
ejpam-4987	69	4	.	.	PROPN
ejpam-4987	69	5	math	math	PROPN
ejpam-4987	69	6	,	,	PUNCT
ejpam-4987	69	7	17	17	NUM
ejpam-4987	69	8	(	(	PUNCT
ejpam-4987	69	9	1	1	NUM
ejpam-4987	69	10	)	)	PUNCT
ejpam-4987	69	11	(	(	PUNCT
ejpam-4987	69	12	2024	2024	NUM
ejpam-4987	69	13	)	)	PUNCT
ejpam-4987	69	14	,	,	PUNCT
ejpam-4987	69	15	59	59	NUM
ejpam-4987	69	16	-	-	SYM
ejpam-4987	69	17	92	92	NUM
ejpam-4987	69	18	62	62	NUM
ejpam-4987	69	19	detection	detection	NOUN
ejpam-4987	69	20	of	of	ADP
ejpam-4987	69	21	viral	viral	ADJ
ejpam-4987	69	22	dna	dna	NOUN
ejpam-4987	69	23	(	(	PUNCT
ejpam-4987	69	24	deoxyribonuclease	deoxyribonuclease	NOUN
ejpam-4987	69	25	acid	acid	NOUN
ejpam-4987	69	26	)	)	PUNCT
ejpam-4987	69	27	in	in	ADP
ejpam-4987	69	28	the	the	DET
ejpam-4987	69	29	serum	serum	NOUN
ejpam-4987	70	1	[	[	X
ejpam-4987	70	2	33	33	NUM
ejpam-4987	70	3	]	]	PUNCT
ejpam-4987	70	4	.	.	PUNCT
ejpam-4987	71	1	the	the	DET
ejpam-4987	71	2	high	high	ADJ
ejpam-4987	71	3	transmission	transmission	NOUN
ejpam-4987	71	4	of	of	ADP
ejpam-4987	71	5	hepatitis	hepatitis	PROPN
ejpam-4987	71	6	b	b	PROPN
ejpam-4987	71	7	virus	virus	NOUN
ejpam-4987	71	8	is	be	AUX
ejpam-4987	71	9	explained	explain	VERB
ejpam-4987	71	10	by	by	ADP
ejpam-4987	71	11	:	:	PUNCT
ejpam-4987	71	12	•	•	ADP
ejpam-4987	71	13	the	the	DET
ejpam-4987	71	14	length	length	NOUN
ejpam-4987	71	15	of	of	ADP
ejpam-4987	71	16	the	the	DET
ejpam-4987	71	17	incubation	incubation	NOUN
ejpam-4987	71	18	period	period	NOUN
ejpam-4987	71	19	(	(	PUNCT
ejpam-4987	71	20	6	6	NUM
ejpam-4987	71	21	weeks	week	NOUN
ejpam-4987	71	22	to	to	ADP
ejpam-4987	71	23	4	4	NUM
ejpam-4987	71	24	months	month	NOUN
ejpam-4987	71	25	)	)	PUNCT
ejpam-4987	72	1	[	[	X
ejpam-4987	72	2	28	28	NUM
ejpam-4987	72	3	]	]	PUNCT
ejpam-4987	72	4	,	,	PUNCT
ejpam-4987	72	5	•	•	ADP
ejpam-4987	72	6	the	the	DET
ejpam-4987	72	7	very	very	ADV
ejpam-4987	72	8	high	high	ADJ
ejpam-4987	72	9	infectious	infectious	ADJ
ejpam-4987	72	10	blood	blood	NOUN
ejpam-4987	72	11	titer	titer	NOUN
ejpam-4987	72	12	(	(	PUNCT
ejpam-4987	72	13	0.0001	0.0001	NUM
ejpam-4987	72	14	ml	ml	NOUN
ejpam-4987	72	15	of	of	ADP
ejpam-4987	72	16	plasma	plasma	NOUN
ejpam-4987	72	17	can	can	AUX
ejpam-4987	72	18	transmit	transmit	VERB
ejpam-4987	72	19	hbv	hbv	NOUN
ejpam-4987	72	20	)	)	PUNCT
ejpam-4987	73	1	[	[	X
ejpam-4987	73	2	16	16	NUM
ejpam-4987	73	3	]	]	X
ejpam-4987	73	4	,	,	PUNCT
ejpam-4987	73	5	•	•	CCONJ
ejpam-4987	73	6	the	the	DET
ejpam-4987	73	7	large	large	ADJ
ejpam-4987	73	8	number	number	NOUN
ejpam-4987	73	9	of	of	ADP
ejpam-4987	73	10	asymptomatic	asymptomatic	ADJ
ejpam-4987	73	11	carriers	carrier	NOUN
ejpam-4987	73	12	[	[	X
ejpam-4987	73	13	16	16	NUM
ejpam-4987	73	14	]	]	X
ejpam-4987	73	15	,	,	PUNCT
ejpam-4987	73	16	•	•	NUM
ejpam-4987	73	17	hbv	hbv	NOUN
ejpam-4987	73	18	is	be	AUX
ejpam-4987	73	19	50	50	NUM
ejpam-4987	73	20	to	to	PART
ejpam-4987	73	21	100	100	NUM
ejpam-4987	73	22	times	time	NOUN
ejpam-4987	73	23	more	more	ADV
ejpam-4987	73	24	infectious	infectious	ADJ
ejpam-4987	73	25	than	than	ADP
ejpam-4987	73	26	hiv	hiv	PROPN
ejpam-4987	74	1	[	[	X
ejpam-4987	74	2	16	16	NUM
ejpam-4987	74	3	]	]	X
ejpam-4987	74	4	,	,	PUNCT
ejpam-4987	74	5	•	•	NUM
ejpam-4987	74	6	hbv	hbv	NOUN
ejpam-4987	74	7	has	have	VERB
ejpam-4987	74	8	the	the	DET
ejpam-4987	74	9	ability	ability	NOUN
ejpam-4987	74	10	to	to	PART
ejpam-4987	74	11	retain	retain	VERB
ejpam-4987	74	12	its	its	PRON
ejpam-4987	74	13	infectivity	infectivity	NOUN
ejpam-4987	74	14	for	for	ADP
ejpam-4987	74	15	more	more	ADJ
ejpam-4987	74	16	than	than	ADP
ejpam-4987	74	17	7	7	NUM
ejpam-4987	74	18	days	day	NOUN
ejpam-4987	74	19	at	at	ADP
ejpam-4987	74	20	room	room	NOUN
ejpam-4987	74	21	temperature	temperature	NOUN
ejpam-4987	74	22	[	[	X
ejpam-4987	74	23	16	16	NUM
ejpam-4987	74	24	]	]	PUNCT
ejpam-4987	74	25	.	.	PUNCT
ejpam-4987	75	1	figure	figure	NOUN
ejpam-4987	75	2	2	2	NUM
ejpam-4987	75	3	:	:	PUNCT
ejpam-4987	75	4	structure	structure	NOUN
ejpam-4987	75	5	of	of	ADP
ejpam-4987	75	6	an	an	DET
ejpam-4987	75	7	hbv	hbv	NOUN
ejpam-4987	75	8	virus	virus	NOUN
ejpam-4987	75	9	particle	particle	NOUN
ejpam-4987	75	10	(	(	PUNCT
ejpam-4987	75	11	james	james	PROPN
ejpam-4987	75	12	a.	a.	NOUN
ejpam-4987	75	13	prekins	prekins	PROPN
ejpam-4987	75	14	,	,	PUNCT
ejpam-4987	75	15	medical	medical	ADJ
ejpam-4987	75	16	and	and	CCONJ
ejpam-4987	75	17	scientific	scientific	ADJ
ejpam-4987	75	18	illustrations	illustration	NOUN
ejpam-4987	75	19	,	,	PUNCT
ejpam-4987	75	20	2002	2002	NUM
ejpam-4987	75	21	)	)	PUNCT
ejpam-4987	76	1	[	[	X
ejpam-4987	76	2	29	29	NUM
ejpam-4987	76	3	]	]	PUNCT
ejpam-4987	76	4	in	in	ADP
ejpam-4987	76	5	this	this	DET
ejpam-4987	76	6	context	context	NOUN
ejpam-4987	76	7	,	,	PUNCT
ejpam-4987	76	8	therefore	therefore	ADV
ejpam-4987	76	9	,	,	PUNCT
ejpam-4987	76	10	which	which	DET
ejpam-4987	76	11	contribution	contribution	NOUN
ejpam-4987	76	12	could	could	AUX
ejpam-4987	76	13	mathematics	mathematic	NOUN
ejpam-4987	76	14	make	make	VERB
ejpam-4987	76	15	to	to	PART
ejpam-4987	76	16	improve	improve	VERB
ejpam-4987	76	17	the	the	DET
ejpam-4987	76	18	situation	situation	NOUN
ejpam-4987	76	19	in	in	ADP
ejpam-4987	76	20	burkina	burkina	PROPN
ejpam-4987	76	21	faso	faso	PROPN
ejpam-4987	76	22	?	?	PUNCT
ejpam-4987	77	1	the	the	DET
ejpam-4987	77	2	answer	answer	NOUN
ejpam-4987	77	3	to	to	ADP
ejpam-4987	77	4	this	this	DET
ejpam-4987	77	5	question	question	NOUN
ejpam-4987	77	6	is	be	AUX
ejpam-4987	77	7	to	to	PART
ejpam-4987	77	8	propose	propose	VERB
ejpam-4987	77	9	a	a	DET
ejpam-4987	77	10	mathematical	mathematical	ADJ
ejpam-4987	77	11	model	model	NOUN
ejpam-4987	77	12	to	to	PART
ejpam-4987	77	13	better	well	ADV
ejpam-4987	77	14	understand	understand	VERB
ejpam-4987	77	15	the	the	DET
ejpam-4987	77	16	dynamics	dynamic	NOUN
ejpam-4987	77	17	of	of	ADP
ejpam-4987	77	18	hbv	hbv	NOUN
ejpam-4987	77	19	transmission	transmission	NOUN
ejpam-4987	77	20	and	and	CCONJ
ejpam-4987	77	21	predict	predict	VERB
ejpam-4987	77	22	the	the	DET
ejpam-4987	77	23	infection	infection	NOUN
ejpam-4987	77	24	’s	’s	PART
ejpam-4987	77	25	evolution	evolution	NOUN
ejpam-4987	77	26	.	.	PUNCT
ejpam-4987	78	1	the	the	DET
ejpam-4987	78	2	remainder	remainder	NOUN
ejpam-4987	78	3	of	of	ADP
ejpam-4987	78	4	this	this	DET
ejpam-4987	78	5	paper	paper	NOUN
ejpam-4987	78	6	is	be	AUX
ejpam-4987	78	7	organized	organize	VERB
ejpam-4987	78	8	as	as	SCONJ
ejpam-4987	78	9	follows	follow	VERB
ejpam-4987	78	10	:	:	PUNCT
ejpam-4987	78	11	section	section	NOUN
ejpam-4987	78	12	two	two	NUM
ejpam-4987	78	13	is	be	AUX
ejpam-4987	78	14	dedicated	dedicate	VERB
ejpam-4987	78	15	to	to	ADP
ejpam-4987	78	16	the	the	DET
ejpam-4987	78	17	presentation	presentation	NOUN
ejpam-4987	78	18	of	of	ADP
ejpam-4987	78	19	the	the	DET
ejpam-4987	78	20	proposed	propose	VERB
ejpam-4987	78	21	transmission	transmission	NOUN
ejpam-4987	78	22	network	network	NOUN
ejpam-4987	78	23	model	model	NOUN
ejpam-4987	78	24	and	and	CCONJ
ejpam-4987	78	25	to	to	ADP
ejpam-4987	78	26	the	the	DET
ejpam-4987	78	27	calculus	calculus	NOUN
ejpam-4987	78	28	of	of	ADP
ejpam-4987	78	29	the	the	DET
ejpam-4987	78	30	reproduction	reproduction	NOUN
ejpam-4987	78	31	rate	rate	NOUN
ejpam-4987	78	32	.	.	PUNCT
ejpam-4987	79	1	section	section	NOUN
ejpam-4987	79	2	three	three	NUM
ejpam-4987	79	3	is	be	AUX
ejpam-4987	79	4	devoted	devote	VERB
ejpam-4987	79	5	to	to	ADP
ejpam-4987	79	6	the	the	DET
ejpam-4987	79	7	proof	proof	NOUN
ejpam-4987	79	8	of	of	ADP
ejpam-4987	79	9	global	global	ADJ
ejpam-4987	79	10	existence	existence	NOUN
ejpam-4987	79	11	and	and	CCONJ
ejpam-4987	79	12	uniqueness	uniqueness	NOUN
ejpam-4987	79	13	of	of	ADP
ejpam-4987	79	14	solutions	solution	NOUN
ejpam-4987	79	15	for	for	ADP
ejpam-4987	79	16	the	the	DET
ejpam-4987	79	17	proposed	propose	VERB
ejpam-4987	79	18	system	system	NOUN
ejpam-4987	79	19	,	,	PUNCT
ejpam-4987	79	20	as	as	ADV
ejpam-4987	79	21	well	well	ADV
ejpam-4987	79	22	as	as	ADP
ejpam-4987	79	23	to	to	ADP
ejpam-4987	79	24	the	the	DET
ejpam-4987	79	25	calculus	calculus	NOUN
ejpam-4987	79	26	of	of	ADP
ejpam-4987	79	27	the	the	DET
ejpam-4987	79	28	reproduction	reproduction	NOUN
ejpam-4987	79	29	rate	rate	NOUN
ejpam-4987	79	30	.	.	PUNCT
ejpam-4987	80	1	the	the	DET
ejpam-4987	80	2	global	global	ADJ
ejpam-4987	80	3	stability	stability	NOUN
ejpam-4987	80	4	analysis	analysis	NOUN
ejpam-4987	80	5	of	of	ADP
ejpam-4987	80	6	the	the	DET
ejpam-4987	80	7	model	model	NOUN
ejpam-4987	80	8	problem	problem	NOUN
ejpam-4987	80	9	for	for	ADP
ejpam-4987	80	10	the	the	DET
ejpam-4987	80	11	disease	disease	NOUN
ejpam-4987	80	12	free	free	ADJ
ejpam-4987	80	13	equilibrium	equilibrium	NOUN
ejpam-4987	80	14	point	point	NOUN
ejpam-4987	80	15	is	be	AUX
ejpam-4987	80	16	presented	present	VERB
ejpam-4987	80	17	in	in	ADP
ejpam-4987	80	18	the	the	DET
ejpam-4987	80	19	fourth	fourth	ADJ
ejpam-4987	80	20	section	section	NOUN
ejpam-4987	80	21	.	.	PUNCT
ejpam-4987	81	1	in	in	ADP
ejpam-4987	81	2	the	the	DET
ejpam-4987	81	3	fifth	fifth	ADJ
ejpam-4987	81	4	section	section	NOUN
ejpam-4987	81	5	,	,	PUNCT
ejpam-4987	81	6	the	the	DET
ejpam-4987	81	7	global	global	ADJ
ejpam-4987	81	8	stability	stability	NOUN
ejpam-4987	81	9	analysis	analysis	NOUN
ejpam-4987	81	10	for	for	ADP
ejpam-4987	81	11	w.-o	w.-o	NOUN
ejpam-4987	81	12	sawadogo	sawadogo	VERB
ejpam-4987	81	13	et	et	PROPN
ejpam-4987	81	14	al	al	PROPN
ejpam-4987	81	15	.	.	PUNCT
ejpam-4987	81	16	/	/	SYM
ejpam-4987	81	17	eur	eur	PROPN
ejpam-4987	81	18	.	.	PUNCT
ejpam-4987	82	1	j.	j.	PROPN
ejpam-4987	82	2	pure	pure	PROPN
ejpam-4987	82	3	appl	appl	PROPN
ejpam-4987	82	4	.	.	PROPN
ejpam-4987	82	5	math	math	PROPN
ejpam-4987	82	6	,	,	PUNCT
ejpam-4987	82	7	17	17	NUM
ejpam-4987	82	8	(	(	PUNCT
ejpam-4987	82	9	1	1	NUM
ejpam-4987	82	10	)	)	PUNCT
ejpam-4987	82	11	(	(	PUNCT
ejpam-4987	82	12	2024	2024	NUM
ejpam-4987	82	13	)	)	PUNCT
ejpam-4987	82	14	,	,	PUNCT
ejpam-4987	82	15	59	59	NUM
ejpam-4987	82	16	-	-	SYM
ejpam-4987	82	17	92	92	NUM
ejpam-4987	82	18	63	63	NUM
ejpam-4987	82	19	the	the	DET
ejpam-4987	82	20	endemic	endemic	ADJ
ejpam-4987	82	21	equilibrium	equilibrium	NOUN
ejpam-4987	82	22	point	point	NOUN
ejpam-4987	82	23	is	be	AUX
ejpam-4987	82	24	proved	prove	VERB
ejpam-4987	82	25	.	.	PUNCT
ejpam-4987	83	1	in	in	ADP
ejpam-4987	83	2	the	the	DET
ejpam-4987	83	3	sixth	sixth	ADJ
ejpam-4987	83	4	section	section	NOUN
ejpam-4987	83	5	,	,	PUNCT
ejpam-4987	83	6	a	a	DET
ejpam-4987	83	7	numerical	numerical	ADJ
ejpam-4987	83	8	algorithm	algorithm	NOUN
ejpam-4987	83	9	is	be	AUX
ejpam-4987	83	10	developed	develop	VERB
ejpam-4987	83	11	to	to	PART
ejpam-4987	83	12	numerically	numerically	ADV
ejpam-4987	83	13	simulate	simulate	VERB
ejpam-4987	83	14	the	the	DET
ejpam-4987	83	15	proposed	propose	VERB
ejpam-4987	83	16	model	model	NOUN
ejpam-4987	83	17	for	for	ADP
ejpam-4987	83	18	different	different	ADJ
ejpam-4987	83	19	involved	involved	ADJ
ejpam-4987	83	20	parameters	parameter	NOUN
ejpam-4987	83	21	.	.	PUNCT
ejpam-4987	84	1	the	the	DET
ejpam-4987	84	2	obtained	obtain	VERB
ejpam-4987	84	3	numerical	numerical	ADJ
ejpam-4987	84	4	results	result	NOUN
ejpam-4987	84	5	are	be	AUX
ejpam-4987	84	6	presented	present	VERB
ejpam-4987	84	7	in	in	ADP
ejpam-4987	84	8	the	the	DET
ejpam-4987	84	9	sixth	sixth	ADJ
ejpam-4987	84	10	section	section	NOUN
ejpam-4987	84	11	.	.	PUNCT
ejpam-4987	85	1	2	2	X
ejpam-4987	85	2	.	.	X
ejpam-4987	85	3	the	the	DET
ejpam-4987	85	4	proposed	propose	VERB
ejpam-4987	85	5	model	model	NOUN
ejpam-4987	85	6	of	of	ADP
ejpam-4987	85	7	hbv	hbv	NOUN
ejpam-4987	85	8	transmission	transmission	NOUN
ejpam-4987	85	9	in	in	ADP
ejpam-4987	85	10	burkina	burkina	PROPN
ejpam-4987	85	11	faso	faso	PROPN
ejpam-4987	85	12	a	a	DET
ejpam-4987	85	13	seir	seir	NOUN
ejpam-4987	85	14	(	(	PUNCT
ejpam-4987	85	15	susceptible	susceptible	ADJ
ejpam-4987	85	16	s	s	NOUN
ejpam-4987	85	17	,	,	PUNCT
ejpam-4987	85	18	exposed	expose	VERB
ejpam-4987	85	19	e	e	NOUN
ejpam-4987	85	20	,	,	PUNCT
ejpam-4987	85	21	infected	infect	VERB
ejpam-4987	85	22	i	i	PRON
ejpam-4987	85	23	,	,	PUNCT
ejpam-4987	85	24	recovered	recover	VERB
ejpam-4987	85	25	r	r	NOUN
ejpam-4987	85	26	)	)	PUNCT
ejpam-4987	85	27	model	model	NOUN
ejpam-4987	85	28	was	be	AUX
ejpam-4987	85	29	formulated	formulate	VERB
ejpam-4987	85	30	which	which	PRON
ejpam-4987	85	31	takes	take	VERB
ejpam-4987	85	32	into	into	ADP
ejpam-4987	85	33	account	account	NOUN
ejpam-4987	85	34	the	the	DET
ejpam-4987	85	35	epidemiology	epidemiology	NOUN
ejpam-4987	85	36	of	of	ADP
ejpam-4987	85	37	hbv	hbv	NOUN
ejpam-4987	85	38	infection	infection	NOUN
ejpam-4987	85	39	.	.	PUNCT
ejpam-4987	86	1	due	due	ADP
ejpam-4987	86	2	to	to	ADP
ejpam-4987	86	3	the	the	DET
ejpam-4987	86	4	fact	fact	NOUN
ejpam-4987	86	5	that	that	SCONJ
ejpam-4987	86	6	vertical	vertical	ADJ
ejpam-4987	86	7	transmission	transmission	NOUN
ejpam-4987	86	8	is	be	AUX
ejpam-4987	86	9	the	the	DET
ejpam-4987	86	10	most	most	ADV
ejpam-4987	86	11	frequent	frequent	ADJ
ejpam-4987	86	12	mode	mode	NOUN
ejpam-4987	86	13	of	of	ADP
ejpam-4987	86	14	transmission	transmission	NOUN
ejpam-4987	86	15	in	in	ADP
ejpam-4987	86	16	burkina	burkina	PROPN
ejpam-4987	86	17	faso	faso	PROPN
ejpam-4987	86	18	,	,	PUNCT
ejpam-4987	86	19	a	a	DET
ejpam-4987	86	20	model	model	NOUN
ejpam-4987	86	21	with	with	ADP
ejpam-4987	86	22	vertical	vertical	ADJ
ejpam-4987	86	23	transmission	transmission	NOUN
ejpam-4987	86	24	was	be	AUX
ejpam-4987	86	25	developed	develop	VERB
ejpam-4987	86	26	.	.	PUNCT
ejpam-4987	87	1	the	the	DET
ejpam-4987	87	2	total	total	ADJ
ejpam-4987	87	3	population	population	NOUN
ejpam-4987	87	4	births	birth	NOUN
ejpam-4987	87	5	is	be	AUX
ejpam-4987	87	6	denoted	denote	VERB
ejpam-4987	87	7	by	by	ADP
ejpam-4987	87	8	λ	λ	NOUN
ejpam-4987	87	9	.	.	PUNCT
ejpam-4987	88	1	the	the	DET
ejpam-4987	88	2	introduction	introduction	NOUN
ejpam-4987	88	3	of	of	ADP
ejpam-4987	88	4	vertical	vertical	ADJ
ejpam-4987	88	5	transmission	transmission	NOUN
ejpam-4987	88	6	decreases	decrease	VERB
ejpam-4987	88	7	the	the	DET
ejpam-4987	88	8	number	number	NOUN
ejpam-4987	88	9	of	of	ADP
ejpam-4987	88	10	births	birth	NOUN
ejpam-4987	88	11	by	by	ADP
ejpam-4987	88	12	an	an	DET
ejpam-4987	88	13	amount	amount	NOUN
ejpam-4987	88	14	of	of	ADP
ejpam-4987	88	15	λii	λii	NOUN
ejpam-4987	88	16	+	+	CCONJ
ejpam-4987	88	17	λcc	λcc	ADP
ejpam-4987	88	18	which	which	PRON
ejpam-4987	88	19	no	no	ADV
ejpam-4987	88	20	longer	long	ADV
ejpam-4987	88	21	become	become	VERB
ejpam-4987	88	22	susceptible	susceptible	ADJ
ejpam-4987	88	23	,	,	PUNCT
ejpam-4987	88	24	as	as	SCONJ
ejpam-4987	88	25	babies	baby	NOUN
ejpam-4987	88	26	from	from	ADP
ejpam-4987	88	27	these	these	DET
ejpam-4987	88	28	births	birth	NOUN
ejpam-4987	88	29	are	be	AUX
ejpam-4987	88	30	acutely	acutely	ADV
ejpam-4987	88	31	and	and	CCONJ
ejpam-4987	88	32	chronically	chronically	ADV
ejpam-4987	88	33	infected	infect	VERB
ejpam-4987	88	34	by	by	ADP
ejpam-4987	88	35	vertical	vertical	ADJ
ejpam-4987	88	36	transmission	transmission	NOUN
ejpam-4987	88	37	.	.	PUNCT
ejpam-4987	89	1	thus	thus	ADV
ejpam-4987	89	2	,	,	PUNCT
ejpam-4987	89	3	both	both	DET
ejpam-4987	89	4	λii	λii	NOUN
ejpam-4987	89	5	and	and	CCONJ
ejpam-4987	89	6	λcc	λcc	PRON
ejpam-4987	89	7	appear	appear	VERB
ejpam-4987	89	8	in	in	ADP
ejpam-4987	89	9	acute	acute	ADJ
ejpam-4987	89	10	ei	ei	NOUN
ejpam-4987	89	11	and	and	CCONJ
ejpam-4987	89	12	chronic	chronic	ADJ
ejpam-4987	89	13	ec	ec	PROPN
ejpam-4987	89	14	compartment	compartment	NOUN
ejpam-4987	89	15	of	of	ADP
ejpam-4987	89	16	acutely	acutely	ADV
ejpam-4987	89	17	infected	infect	VERB
ejpam-4987	89	18	exposed	expose	VERB
ejpam-4987	89	19	[	[	X
ejpam-4987	89	20	16	16	NUM
ejpam-4987	89	21	]	]	PUNCT
ejpam-4987	89	22	.	.	PUNCT
ejpam-4987	90	1	hbv	hbv	PROPN
ejpam-4987	90	2	is	be	AUX
ejpam-4987	90	3	transmitted	transmit	VERB
ejpam-4987	90	4	vertically	vertically	ADV
ejpam-4987	90	5	by	by	ADP
ejpam-4987	90	6	infected	infected	ADJ
ejpam-4987	90	7	individuals	individual	NOUN
ejpam-4987	90	8	(	(	PUNCT
ejpam-4987	90	9	in	in	ADP
ejpam-4987	90	10	the	the	DET
ejpam-4987	90	11	acute	acute	ADJ
ejpam-4987	90	12	phase	phase	NOUN
ejpam-4987	90	13	)	)	PUNCT
ejpam-4987	90	14	and	and	CCONJ
ejpam-4987	90	15	chronic	chronic	ADJ
ejpam-4987	90	16	carriers	carrier	NOUN
ejpam-4987	90	17	of	of	ADP
ejpam-4987	90	18	the	the	DET
ejpam-4987	90	19	virus	virus	NOUN
ejpam-4987	90	20	.	.	PUNCT
ejpam-4987	91	1	the	the	DET
ejpam-4987	91	2	description	description	NOUN
ejpam-4987	91	3	of	of	ADP
ejpam-4987	91	4	the	the	DET
ejpam-4987	91	5	variables	variable	NOUN
ejpam-4987	91	6	is	be	AUX
ejpam-4987	91	7	given	give	VERB
ejpam-4987	91	8	in	in	ADP
ejpam-4987	91	9	table	table	NOUN
ejpam-4987	91	10	1	1	NUM
ejpam-4987	91	11	and	and	CCONJ
ejpam-4987	91	12	that	that	PRON
ejpam-4987	91	13	of	of	ADP
ejpam-4987	91	14	the	the	DET
ejpam-4987	91	15	parameters	parameter	NOUN
ejpam-4987	91	16	in	in	ADP
ejpam-4987	91	17	table	table	NOUN
ejpam-4987	91	18	2	2	NUM
ejpam-4987	91	19	.	.	NOUN
ejpam-4987	91	20	2.1	2.1	NUM
ejpam-4987	91	21	.	.	PUNCT
ejpam-4987	92	1	assumptions	assumption	NOUN
ejpam-4987	92	2	throughout	throughout	ADP
ejpam-4987	92	3	this	this	DET
ejpam-4987	92	4	paper	paper	NOUN
ejpam-4987	92	5	,	,	PUNCT
ejpam-4987	92	6	it	it	PRON
ejpam-4987	92	7	is	be	AUX
ejpam-4987	92	8	assumed	assume	VERB
ejpam-4987	92	9	that	that	SCONJ
ejpam-4987	92	10	:	:	PUNCT
ejpam-4987	92	11	(	(	PUNCT
ejpam-4987	92	12	h1	h1	NOUN
ejpam-4987	92	13	)	)	PUNCT
ejpam-4987	92	14	susceptibles	susceptible	NOUN
ejpam-4987	92	15	individuals	individual	NOUN
ejpam-4987	92	16	were	be	AUX
ejpam-4987	92	17	subdivided	subdivide	VERB
ejpam-4987	92	18	into	into	ADP
ejpam-4987	92	19	three	three	NUM
ejpam-4987	92	20	age	age	NOUN
ejpam-4987	92	21	classes	class	NOUN
ejpam-4987	92	22	si	si	X
ejpam-4987	92	23	,	,	PUNCT
ejpam-4987	92	24	i	i	NOUN
ejpam-4987	92	25	=	=	NOUN
ejpam-4987	92	26	1	1	NUM
ejpam-4987	92	27	,	,	PUNCT
ejpam-4987	92	28	2	2	NUM
ejpam-4987	92	29	,	,	PUNCT
ejpam-4987	92	30	3	3	NUM
ejpam-4987	92	31	.	.	PUNCT
ejpam-4987	92	32	(	(	PUNCT
ejpam-4987	92	33	h2	h2	PROPN
ejpam-4987	92	34	)	)	PUNCT
ejpam-4987	92	35	the	the	DET
ejpam-4987	92	36	population	population	NOUN
ejpam-4987	92	37	in	in	ADP
ejpam-4987	92	38	each	each	DET
ejpam-4987	92	39	compartment	compartment	NOUN
ejpam-4987	92	40	is	be	AUX
ejpam-4987	92	41	likely	likely	ADJ
ejpam-4987	92	42	to	to	PART
ejpam-4987	92	43	fall	fall	VERB
ejpam-4987	92	44	into	into	ADP
ejpam-4987	92	45	two	two	NUM
ejpam-4987	92	46	groups	group	NOUN
ejpam-4987	92	47	,	,	PUNCT
ejpam-4987	92	48	with	with	ADP
ejpam-4987	92	49	a	a	DET
ejpam-4987	92	50	proportion	proportion	NOUN
ejpam-4987	92	51	αi	αi	VERB
ejpam-4987	92	52	,	,	PUNCT
ejpam-4987	92	53	i	i	PRON
ejpam-4987	92	54	=	=	NOUN
ejpam-4987	92	55	1	1	NUM
ejpam-4987	92	56	,	,	PUNCT
ejpam-4987	92	57	2	2	NUM
ejpam-4987	92	58	,	,	PUNCT
ejpam-4987	92	59	3	3	NUM
ejpam-4987	92	60	of	of	ADP
ejpam-4987	92	61	this	this	DET
ejpam-4987	92	62	population	population	NOUN
ejpam-4987	92	63	developing	develop	VERB
ejpam-4987	92	64	an	an	DET
ejpam-4987	92	65	acute	acute	ADJ
ejpam-4987	92	66	infection	infection	NOUN
ejpam-4987	92	67	i.e.	i.e.	X
ejpam-4987	92	68	the	the	DET
ejpam-4987	92	69	acute	acute	NOUN
ejpam-4987	92	70	exposed	expose	VERB
ejpam-4987	92	71	ei	ei	X
ejpam-4987	92	72	who	who	PRON
ejpam-4987	92	73	will	will	AUX
ejpam-4987	92	74	evolve	evolve	VERB
ejpam-4987	92	75	to	to	ADP
ejpam-4987	92	76	an	an	DET
ejpam-4987	92	77	acute	acute	ADJ
ejpam-4987	92	78	infected	infect	VERB
ejpam-4987	92	79	state	state	NOUN
ejpam-4987	92	80	i	i	PRON
ejpam-4987	92	81	and	and	CCONJ
ejpam-4987	92	82	a	a	DET
ejpam-4987	92	83	proportion	proportion	NOUN
ejpam-4987	92	84	(	(	PUNCT
ejpam-4987	92	85	1	1	NUM
ejpam-4987	92	86	−	−	NOUN
ejpam-4987	92	87	αi	αi	NOUN
ejpam-4987	92	88	)	)	PUNCT
ejpam-4987	92	89	,	,	PUNCT
ejpam-4987	93	1	i	i	PRON
ejpam-4987	93	2	=	=	NOUN
ejpam-4987	93	3	1	1	NUM
ejpam-4987	93	4	,	,	PUNCT
ejpam-4987	93	5	2	2	NUM
ejpam-4987	93	6	,	,	PUNCT
ejpam-4987	93	7	3	3	NUM
ejpam-4987	93	8	of	of	ADP
ejpam-4987	93	9	this	this	DET
ejpam-4987	93	10	population	population	NOUN
ejpam-4987	93	11	that	that	PRON
ejpam-4987	93	12	will	will	AUX
ejpam-4987	93	13	become	become	VERB
ejpam-4987	93	14	chronically	chronically	ADV
ejpam-4987	93	15	infected	infect	VERB
ejpam-4987	93	16	(	(	PUNCT
ejpam-4987	93	17	the	the	DET
ejpam-4987	93	18	chronic	chronic	NOUN
ejpam-4987	93	19	exposed	expose	VERB
ejpam-4987	93	20	ec	ec	PROPN
ejpam-4987	93	21	that	that	PRON
ejpam-4987	93	22	will	will	AUX
ejpam-4987	93	23	evolve	evolve	VERB
ejpam-4987	93	24	to	to	ADP
ejpam-4987	93	25	a	a	DET
ejpam-4987	93	26	chronic	chronic	ADJ
ejpam-4987	93	27	infected	infect	VERB
ejpam-4987	93	28	state	state	NOUN
ejpam-4987	93	29	c	c	PROPN
ejpam-4987	93	30	)	)	PUNCT
ejpam-4987	93	31	.	.	PUNCT
ejpam-4987	94	1	(	(	PUNCT
ejpam-4987	94	2	h3	h3	NOUN
ejpam-4987	94	3	)	)	PUNCT
ejpam-4987	94	4	the	the	DET
ejpam-4987	94	5	high	high	ADJ
ejpam-4987	94	6	prevalence	prevalence	NOUN
ejpam-4987	94	7	(	(	PUNCT
ejpam-4987	94	8	>	>	X
ejpam-4987	94	9	8	8	NUM
ejpam-4987	94	10	%	%	NOUN
ejpam-4987	94	11	)	)	PUNCT
ejpam-4987	94	12	in	in	ADP
ejpam-4987	94	13	burkina	burkina	PROPN
ejpam-4987	94	14	faso	faso	PROPN
ejpam-4987	94	15	is	be	AUX
ejpam-4987	94	16	mainly	mainly	ADV
ejpam-4987	94	17	due	due	ADP
ejpam-4987	94	18	to	to	ADP
ejpam-4987	94	19	the	the	DET
ejpam-4987	94	20	vertical	vertical	ADJ
ejpam-4987	94	21	transmission	transmission	NOUN
ejpam-4987	94	22	,	,	PUNCT
ejpam-4987	94	23	hence	hence	ADV
ejpam-4987	94	24	the	the	DET
ejpam-4987	94	25	choice	choice	NOUN
ejpam-4987	94	26	of	of	ADP
ejpam-4987	94	27	the	the	DET
ejpam-4987	94	28	vertical	vertical	ADJ
ejpam-4987	94	29	transmission	transmission	NOUN
ejpam-4987	94	30	model	model	NOUN
ejpam-4987	94	31	[	[	X
ejpam-4987	94	32	16	16	NUM
ejpam-4987	94	33	,	,	PUNCT
ejpam-4987	94	34	31	31	NUM
ejpam-4987	94	35	]	]	PUNCT
ejpam-4987	94	36	.	.	PUNCT
ejpam-4987	95	1	(	(	PUNCT
ejpam-4987	95	2	h4	h4	PROPN
ejpam-4987	95	3	)	)	PUNCT
ejpam-4987	95	4	the	the	DET
ejpam-4987	95	5	general	general	ADJ
ejpam-4987	95	6	recruitment	recruitment	NOUN
ejpam-4987	95	7	of	of	ADP
ejpam-4987	95	8	the	the	DET
ejpam-4987	95	9	population	population	NOUN
ejpam-4987	95	10	is	be	AUX
ejpam-4987	95	11	λ−	λ−	PROPN
ejpam-4987	95	12	λii	λii	NOUN
ejpam-4987	95	13	−	−	PROPN
ejpam-4987	95	14	λcc	λcc	PROPN
ejpam-4987	95	15	.	.	PUNCT
ejpam-4987	96	1	(	(	PUNCT
ejpam-4987	96	2	h5	h5	PROPN
ejpam-4987	96	3	)	)	PUNCT
ejpam-4987	96	4	a	a	DET
ejpam-4987	96	5	part	part	NOUN
ejpam-4987	96	6	of	of	ADP
ejpam-4987	96	7	the	the	DET
ejpam-4987	96	8	births	birth	NOUN
ejpam-4987	96	9	from	from	ADP
ejpam-4987	96	10	the	the	DET
ejpam-4987	96	11	acute	acute	ADJ
ejpam-4987	96	12	and	and	CCONJ
ejpam-4987	96	13	chronic	chronic	ADJ
ejpam-4987	96	14	hbv	hbv	NOUN
ejpam-4987	96	15	infections	infection	NOUN
ejpam-4987	96	16	participate	participate	VERB
ejpam-4987	96	17	with	with	ADP
ejpam-4987	96	18	an	an	DET
ejpam-4987	96	19	amount	amount	NOUN
ejpam-4987	96	20	λi	λi	ADP
ejpam-4987	96	21	+	+	X
ejpam-4987	96	22	λc	λc	NOUN
ejpam-4987	96	23	,	,	PUNCT
ejpam-4987	96	24	which	which	PRON
ejpam-4987	96	25	will	will	AUX
ejpam-4987	96	26	move	move	VERB
ejpam-4987	96	27	to	to	ADP
ejpam-4987	96	28	the	the	DET
ejpam-4987	96	29	exposed	expose	VERB
ejpam-4987	96	30	compartments	compartment	NOUN
ejpam-4987	96	31	of	of	ADP
ejpam-4987	96	32	both	both	CCONJ
ejpam-4987	96	33	acute	acute	ADJ
ejpam-4987	96	34	and	and	CCONJ
ejpam-4987	96	35	chronic	chronic	ADJ
ejpam-4987	96	36	infections	infection	NOUN
ejpam-4987	96	37	.	.	PUNCT
ejpam-4987	97	1	(	(	PUNCT
ejpam-4987	97	2	h6	h6	PROPN
ejpam-4987	97	3	)	)	PUNCT
ejpam-4987	97	4	vertical	vertical	ADJ
ejpam-4987	97	5	transmission	transmission	NOUN
ejpam-4987	97	6	occurs	occur	VERB
ejpam-4987	97	7	in	in	ADP
ejpam-4987	97	8	both	both	CCONJ
ejpam-4987	97	9	acute	acute	ADJ
ejpam-4987	97	10	and	and	CCONJ
ejpam-4987	97	11	chronically	chronically	ADV
ejpam-4987	97	12	infected	infected	ADJ
ejpam-4987	97	13	individuals	individual	NOUN
ejpam-4987	97	14	.	.	PUNCT
ejpam-4987	98	1	(	(	PUNCT
ejpam-4987	98	2	h7	h7	PROPN
ejpam-4987	98	3	)	)	PUNCT
ejpam-4987	98	4	the	the	DET
ejpam-4987	98	5	adequate	adequate	ADJ
ejpam-4987	98	6	contact	contact	NOUN
ejpam-4987	98	7	coefficient	coefficient	NOUN
ejpam-4987	98	8	for	for	ADP
ejpam-4987	98	9	a	a	DET
ejpam-4987	98	10	susceptible	susceptible	ADJ
ejpam-4987	98	11	person	person	NOUN
ejpam-4987	98	12	to	to	PART
ejpam-4987	98	13	be	be	AUX
ejpam-4987	98	14	infected	infect	VERB
ejpam-4987	98	15	with	with	ADP
ejpam-4987	98	16	hbv	hbv	NOUN
ejpam-4987	98	17	,	,	PUNCT
ejpam-4987	98	18	depends	depend	VERB
ejpam-4987	98	19	on	on	ADP
ejpam-4987	98	20	the	the	DET
ejpam-4987	98	21	number	number	NOUN
ejpam-4987	98	22	of	of	ADP
ejpam-4987	98	23	infected	infected	ADJ
ejpam-4987	98	24	individuals	individual	NOUN
ejpam-4987	98	25	[	[	X
ejpam-4987	98	26	2	2	NUM
ejpam-4987	98	27	,	,	PUNCT
ejpam-4987	98	28	16	16	NUM
ejpam-4987	98	29	]	]	PUNCT
ejpam-4987	98	30	,	,	PUNCT
ejpam-4987	98	31	i.e.	i.e.	X
ejpam-4987	98	32	the	the	DET
ejpam-4987	98	33	ei	ei	NOUN
ejpam-4987	98	34	,	,	PUNCT
ejpam-4987	98	35	ec	ec	PROPN
ejpam-4987	98	36	,	,	PUNCT
ejpam-4987	98	37	i	i	PROPN
ejpam-4987	98	38	,	,	PUNCT
ejpam-4987	98	39	c.	c.	PROPN
ejpam-4987	98	40	one	one	NUM
ejpam-4987	98	41	has	have	VERB
ejpam-4987	98	42	the	the	DET
ejpam-4987	98	43	following	follow	VERB
ejpam-4987	98	44	(	(	PUNCT
ejpam-4987	98	45	i	i	NOUN
ejpam-4987	98	46	)	)	PUNCT
ejpam-4987	98	47	β1	β1	PROPN
ejpam-4987	98	48	=	=	PUNCT
ejpam-4987	98	49	β1,1ei	β1,1ei	PROPN
ejpam-4987	99	1	+	+	NOUN
ejpam-4987	100	1	β1,2ec	β1,2ec	NOUN
ejpam-4987	100	2	+	+	ADJ
ejpam-4987	100	3	β1,3i+β1,4c	β1,3i+β1,4c	ADJ
ejpam-4987	100	4	the	the	DET
ejpam-4987	100	5	adequate	adequate	ADJ
ejpam-4987	100	6	coefficient	coefficient	NOUN
ejpam-4987	100	7	of	of	ADP
ejpam-4987	100	8	contact	contact	NOUN
ejpam-4987	100	9	so	so	SCONJ
ejpam-4987	100	10	that	that	SCONJ
ejpam-4987	100	11	a	a	DET
ejpam-4987	100	12	susceptible	susceptible	ADJ
ejpam-4987	100	13	s1	s1	NOUN
ejpam-4987	100	14	becomes	becomes	AUX
ejpam-4987	100	15	contaminated	contaminate	VERB
ejpam-4987	100	16	by	by	ADP
ejpam-4987	100	17	the	the	DET
ejpam-4987	100	18	hbv	hbv	NOUN
ejpam-4987	100	19	.	.	PUNCT
ejpam-4987	101	1	w.-o	w.-o	PROPN
ejpam-4987	101	2	sawadogo	sawadogo	VERB
ejpam-4987	101	3	et	et	PROPN
ejpam-4987	101	4	al	al	PROPN
ejpam-4987	101	5	.	.	PUNCT
ejpam-4987	101	6	/	/	SYM
ejpam-4987	101	7	eur	eur	PROPN
ejpam-4987	101	8	.	.	PUNCT
ejpam-4987	102	1	j.	j.	PROPN
ejpam-4987	102	2	pure	pure	PROPN
ejpam-4987	102	3	appl	appl	PROPN
ejpam-4987	102	4	.	.	PROPN
ejpam-4987	102	5	math	math	PROPN
ejpam-4987	102	6	,	,	PUNCT
ejpam-4987	102	7	17	17	NUM
ejpam-4987	102	8	(	(	PUNCT
ejpam-4987	102	9	1	1	NUM
ejpam-4987	102	10	)	)	PUNCT
ejpam-4987	102	11	(	(	PUNCT
ejpam-4987	102	12	2024	2024	NUM
ejpam-4987	102	13	)	)	PUNCT
ejpam-4987	102	14	,	,	PUNCT
ejpam-4987	102	15	59	59	NUM
ejpam-4987	102	16	-	-	SYM
ejpam-4987	102	17	92	92	NUM
ejpam-4987	102	18	64	64	NUM
ejpam-4987	102	19	(	(	PUNCT
ejpam-4987	102	20	ii	ii	NOUN
ejpam-4987	102	21	)	)	PUNCT
ejpam-4987	102	22	β2	β2	NOUN
ejpam-4987	102	23	=	=	PUNCT
ejpam-4987	102	24	β2,1ei	β2,1ei	PROPN
ejpam-4987	102	25	+	+	PUNCT
ejpam-4987	102	26	β2,2ec	β2,2ec	PROPN
ejpam-4987	102	27	+	+	CCONJ
ejpam-4987	102	28	β2,3i	β2,3i	PROPN
ejpam-4987	102	29	+	+	CCONJ
ejpam-4987	102	30	β2,4c	β2,4c	PROPN
ejpam-4987	102	31	the	the	DET
ejpam-4987	102	32	appropriate	appropriate	ADJ
ejpam-4987	102	33	contact	contact	NOUN
ejpam-4987	102	34	coefficient	coefficient	NOUN
ejpam-4987	102	35	for	for	ADP
ejpam-4987	102	36	a	a	DET
ejpam-4987	102	37	susceptible	susceptible	ADJ
ejpam-4987	102	38	s2	s2	NOUN
ejpam-4987	102	39	to	to	PART
ejpam-4987	102	40	become	become	VERB
ejpam-4987	102	41	contaminated	contaminate	VERB
ejpam-4987	102	42	with	with	ADP
ejpam-4987	102	43	hbv	hbv	NOUN
ejpam-4987	102	44	.	.	PUNCT
ejpam-4987	103	1	(	(	PUNCT
ejpam-4987	103	2	iii	iii	NOUN
ejpam-4987	103	3	)	)	PUNCT
ejpam-4987	103	4	β3	β3	PROPN
ejpam-4987	103	5	=	=	SYM
ejpam-4987	103	6	β3,1ei	β3,1ei	PROPN
ejpam-4987	103	7	+	+	CCONJ
ejpam-4987	103	8	β3,2ec	β3,2ec	ADJ
ejpam-4987	103	9	+	+	PUNCT
ejpam-4987	103	10	β3,3i	β3,3i	PROPN
ejpam-4987	104	1	+	+	X
ejpam-4987	104	2	β3,4c	β3,4c	ADJ
ejpam-4987	104	3	the	the	DET
ejpam-4987	104	4	appropriate	appropriate	ADJ
ejpam-4987	104	5	contact	contact	NOUN
ejpam-4987	104	6	coefficient	coefficient	NOUN
ejpam-4987	104	7	for	for	ADP
ejpam-4987	104	8	a	a	DET
ejpam-4987	104	9	susceptible	susceptible	ADJ
ejpam-4987	104	10	s3	s3	NOUN
ejpam-4987	104	11	to	to	PART
ejpam-4987	104	12	become	become	AUX
ejpam-4987	104	13	contaminated	contaminate	VERB
ejpam-4987	104	14	with	with	ADP
ejpam-4987	104	15	hbv	hbv	NOUN
ejpam-4987	104	16	.	.	PUNCT
ejpam-4987	105	1	(	(	PUNCT
ejpam-4987	105	2	h8	h8	PROPN
ejpam-4987	105	3	)	)	PUNCT
ejpam-4987	105	4	acute	acute	ADJ
ejpam-4987	105	5	infection	infection	NOUN
ejpam-4987	105	6	includes	include	VERB
ejpam-4987	105	7	fulminant	fulminant	ADJ
ejpam-4987	105	8	hepatitis	hepatitis	NOUN
ejpam-4987	105	9	,	,	PUNCT
ejpam-4987	105	10	which	which	PRON
ejpam-4987	105	11	is	be	AUX
ejpam-4987	105	12	very	very	ADV
ejpam-4987	105	13	rare	rare	ADJ
ejpam-4987	105	14	[	[	X
ejpam-4987	105	15	28	28	NUM
ejpam-4987	105	16	]	]	PUNCT
ejpam-4987	105	17	.	.	PUNCT
ejpam-4987	106	1	(	(	PUNCT
ejpam-4987	106	2	h9	h9	NOUN
ejpam-4987	106	3	)	)	PUNCT
ejpam-4987	106	4	all	all	DET
ejpam-4987	106	5	individuals	individual	NOUN
ejpam-4987	106	6	who	who	PRON
ejpam-4987	106	7	do	do	AUX
ejpam-4987	106	8	not	not	PART
ejpam-4987	106	9	die	die	VERB
ejpam-4987	106	10	from	from	ADP
ejpam-4987	106	11	hvb	hvb	NOUN
ejpam-4987	106	12	,	,	PUNCT
ejpam-4987	106	13	i.e.	i.e.	X
ejpam-4987	106	14	individuals	individual	NOUN
ejpam-4987	106	15	in	in	ADP
ejpam-4987	106	16	compartments	compartment	NOUN
ejpam-4987	106	17	s1	s1	NOUN
ejpam-4987	106	18	,	,	PUNCT
ejpam-4987	106	19	s2	s2	PROPN
ejpam-4987	106	20	,	,	PUNCT
ejpam-4987	106	21	s3	s3	PROPN
ejpam-4987	106	22	,	,	PUNCT
ejpam-4987	106	23	ei	ei	NOUN
ejpam-4987	106	24	,	,	PUNCT
ejpam-4987	106	25	ec	ec	PROPN
ejpam-4987	106	26	,	,	PUNCT
ejpam-4987	106	27	r	r	NOUN
ejpam-4987	106	28	have	have	VERB
ejpam-4987	106	29	the	the	DET
ejpam-4987	106	30	same	same	ADJ
ejpam-4987	106	31	mortality	mortality	NOUN
ejpam-4987	106	32	rate	rate	NOUN
ejpam-4987	106	33	µ.	µ.	PROPN
ejpam-4987	106	34	(	(	PUNCT
ejpam-4987	106	35	h10	h10	PROPN
ejpam-4987	106	36	)	)	PUNCT
ejpam-4987	106	37	λ	λ	PROPN
ejpam-4987	106	38	,	,	PUNCT
ejpam-4987	106	39	λi	λi	SYM
ejpam-4987	106	40	,	,	PUNCT
ejpam-4987	106	41	λc	λc	INTJ
ejpam-4987	106	42	,	,	PUNCT
ejpam-4987	106	43	µ	µ	NOUN
ejpam-4987	106	44	,	,	PUNCT
ejpam-4987	106	45	µ1	µ1	PROPN
ejpam-4987	106	46	,	,	PUNCT
ejpam-4987	106	47	µ2	µ2	NOUN
ejpam-4987	106	48	,	,	PUNCT
ejpam-4987	106	49	µ3	µ3	NUM
ejpam-4987	106	50	,	,	PUNCT
ejpam-4987	106	51	µ4	µ4	PROPN
ejpam-4987	106	52	,	,	PUNCT
ejpam-4987	106	53	δ1	δ1	NOUN
ejpam-4987	106	54	,	,	PUNCT
ejpam-4987	106	55	δ2	δ2	PROPN
ejpam-4987	106	56	,	,	PUNCT
ejpam-4987	106	57	γi	γi	INTJ
ejpam-4987	106	58	,	,	PUNCT
ejpam-4987	106	59	γc	γc	PROPN
ejpam-4987	106	60	are	be	AUX
ejpam-4987	106	61	assumed	assume	VERB
ejpam-4987	106	62	to	to	PART
ejpam-4987	106	63	be	be	AUX
ejpam-4987	106	64	strictly	strictly	ADV
ejpam-4987	106	65	positive	positive	ADJ
ejpam-4987	106	66	.	.	PUNCT
ejpam-4987	107	1	(	(	PUNCT
ejpam-4987	107	2	h11	h11	PROPN
ejpam-4987	107	3	)	)	PUNCT
ejpam-4987	107	4	the	the	DET
ejpam-4987	107	5	prognosis	prognosis	NOUN
ejpam-4987	107	6	for	for	ADP
ejpam-4987	107	7	the	the	DET
ejpam-4987	107	8	evolution	evolution	NOUN
ejpam-4987	107	9	of	of	ADP
ejpam-4987	107	10	hbv	hbv	NOUN
ejpam-4987	107	11	infection	infection	NOUN
ejpam-4987	107	12	to	to	ADP
ejpam-4987	107	13	chronicity	chronicity	NOUN
ejpam-4987	107	14	in	in	ADP
ejpam-4987	107	15	burkina	burkina	PROPN
ejpam-4987	107	16	faso	faso	PROPN
ejpam-4987	107	17	is	be	AUX
ejpam-4987	107	18	generally	generally	ADV
ejpam-4987	107	19	high	high	ADJ
ejpam-4987	107	20	,	,	PUNCT
ejpam-4987	107	21	as	as	SCONJ
ejpam-4987	107	22	it	it	PRON
ejpam-4987	107	23	is	be	AUX
ejpam-4987	107	24	in	in	ADP
ejpam-4987	107	25	many	many	ADJ
ejpam-4987	107	26	other	other	ADJ
ejpam-4987	107	27	sub	sub	ADJ
ejpam-4987	107	28	-	-	ADJ
ejpam-4987	107	29	saharan	saharan	ADJ
ejpam-4987	107	30	african	african	ADJ
ejpam-4987	107	31	countries	country	NOUN
ejpam-4987	107	32	.	.	PUNCT
ejpam-4987	108	1	the	the	DET
ejpam-4987	108	2	prognosis	prognosis	NOUN
ejpam-4987	108	3	depends	depend	VERB
ejpam-4987	108	4	on	on	ADP
ejpam-4987	108	5	the	the	DET
ejpam-4987	108	6	age	age	NOUN
ejpam-4987	108	7	at	at	ADP
ejpam-4987	108	8	which	which	PRON
ejpam-4987	108	9	the	the	DET
ejpam-4987	108	10	individual	individual	NOUN
ejpam-4987	108	11	was	be	AUX
ejpam-4987	108	12	infected	infect	VERB
ejpam-4987	108	13	.	.	PUNCT
ejpam-4987	109	1	thus	thus	ADV
ejpam-4987	109	2	,	,	PUNCT
ejpam-4987	109	3	susceptible	susceptible	ADJ
ejpam-4987	109	4	infants	infant	NOUN
ejpam-4987	109	5	aged	age	VERB
ejpam-4987	109	6	0	0	NUM
ejpam-4987	109	7	-	-	SYM
ejpam-4987	109	8	1	1	NUM
ejpam-4987	109	9	year	year	NOUN
ejpam-4987	109	10	become	become	VERB
ejpam-4987	109	11	chronic	chronic	ADJ
ejpam-4987	109	12	with	with	ADP
ejpam-4987	109	13	a	a	DET
ejpam-4987	109	14	probability	probability	NOUN
ejpam-4987	109	15	of	of	ADP
ejpam-4987	109	16	0.9	0.9	NUM
ejpam-4987	109	17	;	;	PUNCT
ejpam-4987	109	18	children	child	NOUN
ejpam-4987	109	19	aged	age	VERB
ejpam-4987	109	20	1	1	NUM
ejpam-4987	109	21	-	-	SYM
ejpam-4987	109	22	5	5	NUM
ejpam-4987	109	23	years	year	NOUN
ejpam-4987	109	24	with	with	ADP
ejpam-4987	109	25	a	a	DET
ejpam-4987	109	26	probability	probability	NOUN
ejpam-4987	109	27	of	of	ADP
ejpam-4987	109	28	0.3	0.3	NUM
ejpam-4987	109	29	;	;	PUNCT
ejpam-4987	109	30	and	and	CCONJ
ejpam-4987	109	31	those	those	PRON
ejpam-4987	109	32	aged	aged	ADJ
ejpam-4987	109	33	over	over	ADP
ejpam-4987	109	34	5	5	NUM
ejpam-4987	109	35	years	year	NOUN
ejpam-4987	109	36	with	with	ADP
ejpam-4987	109	37	a	a	DET
ejpam-4987	109	38	probability	probability	NOUN
ejpam-4987	109	39	of	of	ADP
ejpam-4987	109	40	0.05	0.05	NUM
ejpam-4987	109	41	[	[	X
ejpam-4987	109	42	17	17	NUM
ejpam-4987	109	43	]	]	PUNCT
ejpam-4987	109	44	.	.	PUNCT
ejpam-4987	110	1	(	(	PUNCT
ejpam-4987	110	2	h12	h12	PROPN
ejpam-4987	110	3	)	)	PUNCT
ejpam-4987	110	4	the	the	DET
ejpam-4987	110	5	total	total	ADJ
ejpam-4987	110	6	population	population	NOUN
ejpam-4987	110	7	n	n	CCONJ
ejpam-4987	110	8	is	be	AUX
ejpam-4987	110	9	not	not	PART
ejpam-4987	110	10	constant	constant	ADJ
ejpam-4987	110	11	.	.	PUNCT
ejpam-4987	111	1	2.2	2.2	NUM
ejpam-4987	111	2	.	.	PUNCT
ejpam-4987	112	1	the	the	DET
ejpam-4987	112	2	interactions	interaction	NOUN
ejpam-4987	112	3	in	in	ADP
ejpam-4987	112	4	the	the	DET
ejpam-4987	112	5	following	follow	VERB
ejpam-4987	112	6	sub	sub	NOUN
ejpam-4987	112	7	-	-	NOUN
ejpam-4987	112	8	section	section	NOUN
ejpam-4987	112	9	,	,	PUNCT
ejpam-4987	112	10	we	we	PRON
ejpam-4987	112	11	start	start	VERB
ejpam-4987	112	12	by	by	ADP
ejpam-4987	112	13	presenting	present	VERB
ejpam-4987	112	14	the	the	DET
ejpam-4987	112	15	different	different	ADJ
ejpam-4987	112	16	parameters	parameter	NOUN
ejpam-4987	112	17	,	,	PUNCT
ejpam-4987	112	18	and	and	CCONJ
ejpam-4987	112	19	the	the	DET
ejpam-4987	112	20	different	different	ADJ
ejpam-4987	112	21	variables	variable	NOUN
ejpam-4987	112	22	involved	involve	VERB
ejpam-4987	112	23	in	in	ADP
ejpam-4987	112	24	our	our	PRON
ejpam-4987	112	25	mathematical	mathematical	ADJ
ejpam-4987	112	26	model	model	NOUN
ejpam-4987	112	27	.	.	PUNCT
ejpam-4987	113	1	next	next	ADJ
ejpam-4987	113	2	,	,	PUNCT
ejpam-4987	113	3	detailed	detailed	ADJ
ejpam-4987	113	4	explanations	explanation	NOUN
ejpam-4987	113	5	of	of	ADP
ejpam-4987	113	6	the	the	DET
ejpam-4987	113	7	different	different	ADJ
ejpam-4987	113	8	compartments	compartment	NOUN
ejpam-4987	113	9	that	that	PRON
ejpam-4987	113	10	compose	compose	VERB
ejpam-4987	113	11	the	the	DET
ejpam-4987	113	12	proposed	propose	VERB
ejpam-4987	113	13	model	model	NOUN
ejpam-4987	113	14	as	as	ADV
ejpam-4987	113	15	well	well	ADV
ejpam-4987	113	16	as	as	ADP
ejpam-4987	113	17	their	their	PRON
ejpam-4987	113	18	interactions	interaction	NOUN
ejpam-4987	113	19	,	,	PUNCT
ejpam-4987	113	20	are	be	AUX
ejpam-4987	113	21	given	give	VERB
ejpam-4987	113	22	.	.	PUNCT
ejpam-4987	114	1	table	table	NOUN
ejpam-4987	114	2	1	1	NUM
ejpam-4987	114	3	contains	contain	VERB
ejpam-4987	114	4	the	the	DET
ejpam-4987	114	5	different	different	ADJ
ejpam-4987	114	6	variables	variable	NOUN
ejpam-4987	114	7	with	with	ADP
ejpam-4987	114	8	their	their	PRON
ejpam-4987	114	9	meanings	meaning	NOUN
ejpam-4987	114	10	,	,	PUNCT
ejpam-4987	114	11	while	while	SCONJ
ejpam-4987	114	12	table	table	NOUN
ejpam-4987	114	13	2	2	NUM
ejpam-4987	114	14	contains	contain	VERB
ejpam-4987	114	15	the	the	DET
ejpam-4987	114	16	different	different	ADJ
ejpam-4987	114	17	parameters	parameter	NOUN
ejpam-4987	114	18	with	with	ADP
ejpam-4987	114	19	their	their	PRON
ejpam-4987	114	20	significance	significance	NOUN
ejpam-4987	114	21	.	.	PUNCT
ejpam-4987	115	1	table	table	NOUN
ejpam-4987	115	2	1	1	NUM
ejpam-4987	115	3	:	:	PUNCT
ejpam-4987	115	4	variables	variable	NOUN
ejpam-4987	115	5	used	use	VERB
ejpam-4987	115	6	in	in	ADP
ejpam-4987	115	7	the	the	DET
ejpam-4987	115	8	model	model	NOUN
ejpam-4987	115	9	variables	variable	VERB
ejpam-4987	115	10	description	description	NOUN
ejpam-4987	115	11	s1(t	s1(t	PART
ejpam-4987	115	12	)	)	PUNCT
ejpam-4987	115	13	babies	baby	NOUN
ejpam-4987	115	14	aged	age	VERB
ejpam-4987	115	15	0	0	NUM
ejpam-4987	115	16	-	-	SYM
ejpam-4987	115	17	1	1	NUM
ejpam-4987	115	18	year	year	NOUN
ejpam-4987	115	19	susceptible	susceptible	ADJ
ejpam-4987	115	20	to	to	ADP
ejpam-4987	115	21	disease	disease	NOUN
ejpam-4987	115	22	s2(t	s2(t	NUM
ejpam-4987	115	23	)	)	PUNCT
ejpam-4987	115	24	infants	infant	NOUN
ejpam-4987	115	25	1	1	NUM
ejpam-4987	115	26	to	to	PART
ejpam-4987	115	27	5	5	NUM
ejpam-4987	115	28	years	year	NOUN
ejpam-4987	115	29	old	old	ADJ
ejpam-4987	115	30	susceptible	susceptible	ADJ
ejpam-4987	115	31	to	to	ADP
ejpam-4987	115	32	disease	disease	NOUN
ejpam-4987	115	33	s3(t	s3(t	NUM
ejpam-4987	115	34	)	)	PUNCT
ejpam-4987	115	35	children	child	NOUN
ejpam-4987	115	36	over	over	ADP
ejpam-4987	115	37	5	5	NUM
ejpam-4987	115	38	years	year	NOUN
ejpam-4987	115	39	of	of	ADP
ejpam-4987	115	40	age	age	NOUN
ejpam-4987	115	41	,	,	PUNCT
ejpam-4987	115	42	adolescents	adolescent	NOUN
ejpam-4987	115	43	and	and	CCONJ
ejpam-4987	115	44	adults	adult	NOUN
ejpam-4987	115	45	at	at	ADP
ejpam-4987	115	46	risk	risk	NOUN
ejpam-4987	115	47	of	of	ADP
ejpam-4987	115	48	disease	disease	NOUN
ejpam-4987	115	49	ei(t	ei(t	ADV
ejpam-4987	115	50	)	)	PUNCT
ejpam-4987	115	51	exposed	expose	VERB
ejpam-4987	115	52	infected	infected	ADJ
ejpam-4987	115	53	individuals	individual	NOUN
ejpam-4987	115	54	who	who	PRON
ejpam-4987	115	55	will	will	AUX
ejpam-4987	115	56	progress	progress	VERB
ejpam-4987	115	57	to	to	ADP
ejpam-4987	115	58	an	an	DET
ejpam-4987	115	59	acute	acute	ADJ
ejpam-4987	115	60	infection	infection	NOUN
ejpam-4987	115	61	state	state	NOUN
ejpam-4987	115	62	ec(t	ec(t	NOUN
ejpam-4987	115	63	)	)	PUNCT
ejpam-4987	115	64	exposed	expose	VERB
ejpam-4987	115	65	chronic	chronic	ADJ
ejpam-4987	115	66	individuals	individual	NOUN
ejpam-4987	115	67	who	who	PRON
ejpam-4987	115	68	will	will	AUX
ejpam-4987	115	69	progress	progress	VERB
ejpam-4987	115	70	to	to	ADP
ejpam-4987	115	71	a	a	DET
ejpam-4987	115	72	chronically	chronically	ADV
ejpam-4987	115	73	infected	infect	VERB
ejpam-4987	115	74	state	state	NOUN
ejpam-4987	115	75	i(t	i(t	PROPN
ejpam-4987	115	76	)	)	PUNCT
ejpam-4987	115	77	infected	infect	VERB
ejpam-4987	115	78	individuals	individual	NOUN
ejpam-4987	115	79	acute	acute	ADJ
ejpam-4987	115	80	c(t	c(t	NOUN
ejpam-4987	115	81	)	)	PUNCT
ejpam-4987	115	82	chronic	chronic	ADJ
ejpam-4987	115	83	carriers	carrier	NOUN
ejpam-4987	115	84	of	of	ADP
ejpam-4987	115	85	the	the	DET
ejpam-4987	115	86	virus	virus	NOUN
ejpam-4987	115	87	r(t	r(t	NOUN
ejpam-4987	115	88	)	)	PUNCT
ejpam-4987	115	89	recovered	recover	VERB
ejpam-4987	115	90	persons	person	NOUN
ejpam-4987	115	91	w.-o	w.-o	NOUN
ejpam-4987	115	92	sawadogo	sawadogo	VERB
ejpam-4987	115	93	et	et	PROPN
ejpam-4987	115	94	al	al	PROPN
ejpam-4987	115	95	.	.	PUNCT
ejpam-4987	115	96	/	/	SYM
ejpam-4987	115	97	eur	eur	PROPN
ejpam-4987	115	98	.	.	PUNCT
ejpam-4987	116	1	j.	j.	PROPN
ejpam-4987	116	2	pure	pure	PROPN
ejpam-4987	116	3	appl	appl	PROPN
ejpam-4987	116	4	.	.	PROPN
ejpam-4987	116	5	math	math	PROPN
ejpam-4987	116	6	,	,	PUNCT
ejpam-4987	116	7	17	17	NUM
ejpam-4987	116	8	(	(	PUNCT
ejpam-4987	116	9	1	1	NUM
ejpam-4987	116	10	)	)	PUNCT
ejpam-4987	116	11	(	(	PUNCT
ejpam-4987	116	12	2024	2024	NUM
ejpam-4987	116	13	)	)	PUNCT
ejpam-4987	116	14	,	,	PUNCT
ejpam-4987	116	15	59	59	NUM
ejpam-4987	116	16	-	-	SYM
ejpam-4987	116	17	92	92	NUM
ejpam-4987	116	18	65	65	NUM
ejpam-4987	116	19	table	table	NOUN
ejpam-4987	116	20	2	2	NUM
ejpam-4987	116	21	:	:	PUNCT
ejpam-4987	116	22	parameters	parameter	NOUN
ejpam-4987	116	23	used	use	VERB
ejpam-4987	116	24	in	in	ADP
ejpam-4987	116	25	the	the	DET
ejpam-4987	116	26	model	model	NOUN
ejpam-4987	116	27	parameters	parameter	NOUN
ejpam-4987	116	28	description	description	NOUN
ejpam-4987	116	29	λ	λ	PROPN
ejpam-4987	116	30	births	birth	NOUN
ejpam-4987	116	31	of	of	ADP
ejpam-4987	116	32	total	total	ADJ
ejpam-4987	116	33	population	population	NOUN
ejpam-4987	116	34	λi	λi	ADP
ejpam-4987	116	35	proportion	proportion	NOUN
ejpam-4987	116	36	of	of	ADP
ejpam-4987	116	37	births	birth	NOUN
ejpam-4987	116	38	from	from	ADP
ejpam-4987	116	39	the	the	DET
ejpam-4987	116	40	infected	infected	NOUN
ejpam-4987	116	41	that	that	PRON
ejpam-4987	116	42	will	will	AUX
ejpam-4987	116	43	become	become	VERB
ejpam-4987	116	44	infected	infected	ADJ
ejpam-4987	116	45	acute	acute	ADJ
ejpam-4987	116	46	λc	λc	NOUN
ejpam-4987	116	47	proportion	proportion	NOUN
ejpam-4987	116	48	of	of	ADP
ejpam-4987	116	49	births	birth	NOUN
ejpam-4987	116	50	from	from	ADP
ejpam-4987	116	51	the	the	DET
ejpam-4987	116	52	chronic	chronic	NOUN
ejpam-4987	116	53	that	that	PRON
ejpam-4987	116	54	will	will	AUX
ejpam-4987	116	55	become	become	VERB
ejpam-4987	116	56	chronic	chronic	ADJ
ejpam-4987	116	57	p1	p1	NOUN
ejpam-4987	116	58	proportion	proportion	NOUN
ejpam-4987	116	59	of	of	ADP
ejpam-4987	116	60	infants	infant	NOUN
ejpam-4987	116	61	aged	age	VERB
ejpam-4987	116	62	0	0	NUM
ejpam-4987	117	1	−	−	PROPN
ejpam-4987	117	2	1year	1year	NUM
ejpam-4987	117	3	that	that	PRON
ejpam-4987	117	4	grow	grow	VERB
ejpam-4987	117	5	healthy	healthy	ADJ
ejpam-4987	117	6	to	to	PART
ejpam-4987	117	7	enter	enter	VERB
ejpam-4987	117	8	the	the	DET
ejpam-4987	117	9	s2	s2	NOUN
ejpam-4987	117	10	compartment	compartment	NOUN
ejpam-4987	117	11	without	without	ADP
ejpam-4987	117	12	being	be	AUX
ejpam-4987	117	13	contaminated	contaminate	VERB
ejpam-4987	117	14	p2	p2	NOUN
ejpam-4987	117	15	proportion	proportion	NOUN
ejpam-4987	117	16	of	of	ADP
ejpam-4987	117	17	infants	infant	NOUN
ejpam-4987	117	18	aged	age	VERB
ejpam-4987	117	19	1−	1−	NUM
ejpam-4987	117	20	5	5	NUM
ejpam-4987	117	21	years	year	NOUN
ejpam-4987	117	22	who	who	PRON
ejpam-4987	117	23	grow	grow	VERB
ejpam-4987	117	24	up	up	ADP
ejpam-4987	117	25	healthy	healthy	ADJ
ejpam-4987	117	26	to	to	PART
ejpam-4987	117	27	enter	enter	VERB
ejpam-4987	117	28	the	the	DET
ejpam-4987	117	29	compartment	compartment	NOUN
ejpam-4987	117	30	s3	s3	PROPN
ejpam-4987	117	31	without	without	ADP
ejpam-4987	117	32	being	be	AUX
ejpam-4987	117	33	contaminated	contaminate	VERB
ejpam-4987	117	34	β1,i	β1,i	PROPN
ejpam-4987	117	35	;	;	PUNCT
ejpam-4987	117	36	i	i	NOUN
ejpam-4987	117	37	=	=	NOUN
ejpam-4987	117	38	1	1	NUM
ejpam-4987	117	39	,	,	PUNCT
ejpam-4987	117	40	..	..	PUNCT
ejpam-4987	117	41	,	,	PUNCT
ejpam-4987	117	42	4	4	NUM
ejpam-4987	117	43	adequate	adequate	ADJ
ejpam-4987	117	44	contact	contact	NOUN
ejpam-4987	117	45	coefficient	coefficient	NOUN
ejpam-4987	117	46	for	for	ADP
ejpam-4987	117	47	people	people	NOUN
ejpam-4987	117	48	likely	likely	ADJ
ejpam-4987	117	49	s1	s1	NOUN
ejpam-4987	117	50	to	to	PART
ejpam-4987	117	51	be	be	AUX
ejpam-4987	117	52	contaminated	contaminate	VERB
ejpam-4987	117	53	.	.	PUNCT
ejpam-4987	118	1	β2,i	β2,i	ADV
ejpam-4987	118	2	;	;	PUNCT
ejpam-4987	118	3	i	i	NOUN
ejpam-4987	118	4	=	=	NOUN
ejpam-4987	118	5	1	1	NUM
ejpam-4987	118	6	,	,	PUNCT
ejpam-4987	118	7	..	..	PUNCT
ejpam-4987	118	8	,	,	PUNCT
ejpam-4987	118	9	4	4	NUM
ejpam-4987	118	10	adequate	adequate	ADJ
ejpam-4987	118	11	contact	contact	NOUN
ejpam-4987	118	12	coefficient	coefficient	NOUN
ejpam-4987	118	13	for	for	ADP
ejpam-4987	118	14	individuals	individual	NOUN
ejpam-4987	118	15	likely	likely	ADJ
ejpam-4987	118	16	s2	s2	VERB
ejpam-4987	118	17	to	to	PART
ejpam-4987	118	18	be	be	AUX
ejpam-4987	118	19	contaminated	contaminate	VERB
ejpam-4987	118	20	.	.	PUNCT
ejpam-4987	119	1	β3,i	β3,i	PROPN
ejpam-4987	119	2	;	;	PUNCT
ejpam-4987	119	3	i	i	NOUN
ejpam-4987	119	4	=	=	NOUN
ejpam-4987	119	5	1	1	NUM
ejpam-4987	119	6	,	,	PUNCT
ejpam-4987	119	7	..	..	PUNCT
ejpam-4987	119	8	,	,	PUNCT
ejpam-4987	119	9	4	4	NUM
ejpam-4987	119	10	adequate	adequate	ADJ
ejpam-4987	119	11	contact	contact	NOUN
ejpam-4987	119	12	coefficient	coefficient	NOUN
ejpam-4987	119	13	for	for	SCONJ
ejpam-4987	119	14	individuals	individual	NOUN
ejpam-4987	119	15	likely	likely	ADJ
ejpam-4987	119	16	s3	s3	PROPN
ejpam-4987	119	17	to	to	PART
ejpam-4987	119	18	be	be	AUX
ejpam-4987	119	19	contaminated	contaminate	VERB
ejpam-4987	119	20	.	.	PUNCT
ejpam-4987	120	1	α1	α1	PROPN
ejpam-4987	120	2	probability	probability	NOUN
ejpam-4987	120	3	of	of	ADP
ejpam-4987	120	4	s1	s1	NOUN
ejpam-4987	120	5	that	that	PRON
ejpam-4987	120	6	will	will	AUX
ejpam-4987	120	7	be	be	AUX
ejpam-4987	120	8	contaminated	contaminate	VERB
ejpam-4987	120	9	,	,	PUNCT
ejpam-4987	120	10	and	and	CCONJ
ejpam-4987	120	11	become	become	VERB
ejpam-4987	120	12	exposed	expose	VERB
ejpam-4987	120	13	infected	infected	ADJ
ejpam-4987	120	14	ei	ei	X
ejpam-4987	120	15	1−	1−	NUM
ejpam-4987	120	16	α1	α1	PROPN
ejpam-4987	120	17	probability	probability	NOUN
ejpam-4987	120	18	of	of	ADP
ejpam-4987	120	19	s1	s1	NOUN
ejpam-4987	120	20	becoming	becoming	AUX
ejpam-4987	120	21	contaminated	contaminate	VERB
ejpam-4987	120	22	,	,	PUNCT
ejpam-4987	120	23	and	and	CCONJ
ejpam-4987	120	24	exposed	expose	VERB
ejpam-4987	120	25	chronic	chronic	ADJ
ejpam-4987	120	26	ec	ec	PROPN
ejpam-4987	120	27	α2	α2	ADJ
ejpam-4987	120	28	probability	probability	NOUN
ejpam-4987	120	29	of	of	ADP
ejpam-4987	120	30	s2	s2	NOUN
ejpam-4987	120	31	that	that	PRON
ejpam-4987	120	32	will	will	AUX
ejpam-4987	120	33	be	be	AUX
ejpam-4987	120	34	contaminated	contaminate	VERB
ejpam-4987	120	35	,	,	PUNCT
ejpam-4987	120	36	and	and	CCONJ
ejpam-4987	120	37	become	become	VERB
ejpam-4987	120	38	exposed	expose	VERB
ejpam-4987	120	39	infected	infected	ADJ
ejpam-4987	120	40	ei	ei	ADP
ejpam-4987	120	41	1−	1−	NUM
ejpam-4987	120	42	α2	α2	ADJ
ejpam-4987	120	43	probability	probability	NOUN
ejpam-4987	120	44	of	of	ADP
ejpam-4987	120	45	s2	s2	PROPN
ejpam-4987	120	46	that	that	PRON
ejpam-4987	120	47	will	will	AUX
ejpam-4987	120	48	be	be	AUX
ejpam-4987	120	49	contaminated	contaminate	VERB
ejpam-4987	120	50	and	and	CCONJ
ejpam-4987	120	51	become	become	VERB
ejpam-4987	120	52	exposed	expose	VERB
ejpam-4987	120	53	chronic	chronic	ADJ
ejpam-4987	120	54	ec	ec	PROPN
ejpam-4987	120	55	α3	α3	ADJ
ejpam-4987	120	56	probability	probability	NOUN
ejpam-4987	120	57	of	of	ADP
ejpam-4987	120	58	s3	s3	PROPN
ejpam-4987	120	59	becoming	becoming	AUX
ejpam-4987	120	60	exposed	expose	VERB
ejpam-4987	120	61	to	to	ADP
ejpam-4987	120	62	infection	infection	NOUN
ejpam-4987	120	63	ei	ei	NOUN
ejpam-4987	120	64	1−	1−	NUM
ejpam-4987	120	65	α3	α3	NOUN
ejpam-4987	120	66	probability	probability	NOUN
ejpam-4987	120	67	of	of	ADP
ejpam-4987	120	68	s3	s3	PROPN
ejpam-4987	120	69	that	that	PRON
ejpam-4987	120	70	will	will	AUX
ejpam-4987	120	71	be	be	AUX
ejpam-4987	120	72	contaminated	contaminate	VERB
ejpam-4987	120	73	and	and	CCONJ
ejpam-4987	120	74	become	become	VERB
ejpam-4987	120	75	chronically	chronically	ADV
ejpam-4987	120	76	exposed	expose	VERB
ejpam-4987	120	77	ec	ec	PROPN
ejpam-4987	120	78	δ1	δ1	NOUN
ejpam-4987	120	79	proportion	proportion	NOUN
ejpam-4987	120	80	of	of	ADP
ejpam-4987	120	81	exposed	expose	VERB
ejpam-4987	120	82	infected	infect	VERB
ejpam-4987	120	83	who	who	PRON
ejpam-4987	120	84	become	become	VERB
ejpam-4987	120	85	infected	infected	ADJ
ejpam-4987	120	86	(	(	PUNCT
ejpam-4987	120	87	acute	acute	NOUN
ejpam-4987	120	88	)	)	PUNCT
ejpam-4987	120	89	i.	i.	NOUN
ejpam-4987	120	90	δ2	δ2	VERB
ejpam-4987	120	91	proportion	proportion	NOUN
ejpam-4987	120	92	of	of	ADP
ejpam-4987	120	93	exposed	expose	VERB
ejpam-4987	120	94	infected	infected	NOUN
ejpam-4987	120	95	that	that	PRON
ejpam-4987	120	96	become	become	VERB
ejpam-4987	120	97	chronic	chronic	ADJ
ejpam-4987	120	98	c.	c.	NOUN
ejpam-4987	120	99	γi	γi	PROPN
ejpam-4987	120	100	proportion	proportion	NOUN
ejpam-4987	120	101	of	of	ADP
ejpam-4987	120	102	acute	acute	ADJ
ejpam-4987	120	103	patients	patient	NOUN
ejpam-4987	120	104	that	that	PRON
ejpam-4987	120	105	are	be	AUX
ejpam-4987	120	106	cured	cure	VERB
ejpam-4987	120	107	recovered	recover	VERB
ejpam-4987	120	108	from	from	ADP
ejpam-4987	120	109	the	the	DET
ejpam-4987	120	110	infection	infection	NOUN
ejpam-4987	120	111	process	process	NOUN
ejpam-4987	120	112	.	.	PUNCT
ejpam-4987	121	1	γc	γc	VERB
ejpam-4987	121	2	proportion	proportion	NOUN
ejpam-4987	121	3	of	of	ADP
ejpam-4987	121	4	chronic	chronic	ADJ
ejpam-4987	121	5	carriers	carrier	NOUN
ejpam-4987	121	6	cured	cure	VERB
ejpam-4987	121	7	and	and	CCONJ
ejpam-4987	121	8	recovered	recover	VERB
ejpam-4987	121	9	from	from	ADP
ejpam-4987	121	10	the	the	DET
ejpam-4987	121	11	infection	infection	NOUN
ejpam-4987	121	12	process	process	NOUN
ejpam-4987	121	13	.	.	PUNCT
ejpam-4987	122	1	µ	µ	PRON
ejpam-4987	122	2	natural	natural	ADJ
ejpam-4987	122	3	mortality	mortality	NOUN
ejpam-4987	122	4	rate	rate	NOUN
ejpam-4987	122	5	,	,	PUNCT
ejpam-4987	122	6	i.e.	i.e.	X
ejpam-4987	122	7	,	,	PUNCT
ejpam-4987	122	8	mortality	mortality	NOUN
ejpam-4987	122	9	not	not	PART
ejpam-4987	122	10	caused	cause	VERB
ejpam-4987	122	11	by	by	ADP
ejpam-4987	122	12	hbv	hbv	NOUN
ejpam-4987	122	13	.	.	PUNCT
ejpam-4987	123	1	µi	µi	PROPN
ejpam-4987	123	2	death	death	NOUN
ejpam-4987	123	3	rate	rate	NOUN
ejpam-4987	123	4	caused	cause	VERB
ejpam-4987	123	5	by	by	ADP
ejpam-4987	123	6	acute	acute	ADJ
ejpam-4987	123	7	hbv	hbv	NOUN
ejpam-4987	123	8	infection	infection	NOUN
ejpam-4987	123	9	µc	µc	VERB
ejpam-4987	123	10	mortality	mortality	NOUN
ejpam-4987	123	11	rate	rate	NOUN
ejpam-4987	123	12	caused	cause	VERB
ejpam-4987	123	13	by	by	ADP
ejpam-4987	123	14	chronic	chronic	ADJ
ejpam-4987	123	15	hbv	hbv	NOUN
ejpam-4987	123	16	infection	infection	NOUN
ejpam-4987	123	17	the	the	DET
ejpam-4987	123	18	model	model	NOUN
ejpam-4987	123	19	is	be	AUX
ejpam-4987	123	20	composed	compose	VERB
ejpam-4987	123	21	of	of	ADP
ejpam-4987	123	22	eight	eight	NUM
ejpam-4987	123	23	compartments	compartment	NOUN
ejpam-4987	123	24	.	.	PUNCT
ejpam-4987	124	1	in	in	ADP
ejpam-4987	124	2	burkina	burkina	PROPN
ejpam-4987	124	3	faso	faso	PROPN
ejpam-4987	124	4	,	,	PUNCT
ejpam-4987	124	5	the	the	DET
ejpam-4987	124	6	age	age	NOUN
ejpam-4987	124	7	at	at	ADP
ejpam-4987	124	8	which	which	PRON
ejpam-4987	124	9	an	an	DET
ejpam-4987	124	10	individual	individual	NOUN
ejpam-4987	124	11	is	be	AUX
ejpam-4987	124	12	infected	infect	VERB
ejpam-4987	124	13	influences	influence	NOUN
ejpam-4987	124	14	his	his	PRON
ejpam-4987	124	15	or	or	CCONJ
ejpam-4987	124	16	her	her	PRON
ejpam-4987	124	17	fate	fate	NOUN
ejpam-4987	124	18	in	in	ADP
ejpam-4987	124	19	terms	term	NOUN
ejpam-4987	124	20	of	of	ADP
ejpam-4987	124	21	the	the	DET
ejpam-4987	124	22	disease	disease	NOUN
ejpam-4987	124	23	’s	’s	PART
ejpam-4987	124	24	chronicity	chronicity	NOUN
ejpam-4987	124	25	.	.	PUNCT
ejpam-4987	125	1	it	it	PRON
ejpam-4987	125	2	is	be	AUX
ejpam-4987	125	3	therefore	therefore	ADV
ejpam-4987	125	4	necessary	necessary	ADJ
ejpam-4987	125	5	to	to	PART
ejpam-4987	125	6	divide	divide	VERB
ejpam-4987	125	7	susceptible	susceptible	ADJ
ejpam-4987	125	8	individuals	individual	NOUN
ejpam-4987	125	9	into	into	ADP
ejpam-4987	125	10	three	three	NUM
ejpam-4987	125	11	age	age	NOUN
ejpam-4987	125	12	classes	class	NOUN
ejpam-4987	125	13	,	,	PUNCT
ejpam-4987	125	14	i.e.	i.e.	X
ejpam-4987	125	15	three	three	NUM
ejpam-4987	125	16	compartments	compartment	NOUN
ejpam-4987	125	17	of	of	ADP
ejpam-4987	125	18	susceptible	susceptible	ADJ
ejpam-4987	125	19	individuals	individual	NOUN
ejpam-4987	125	20	.	.	PUNCT
ejpam-4987	126	1	dividing	divide	VERB
ejpam-4987	126	2	the	the	DET
ejpam-4987	126	3	susceptible	susceptible	ADJ
ejpam-4987	126	4	population	population	NOUN
ejpam-4987	126	5	into	into	ADP
ejpam-4987	126	6	3	3	NUM
ejpam-4987	126	7	compartments	compartment	NOUN
ejpam-4987	126	8	provides	provide	VERB
ejpam-4987	126	9	a	a	DET
ejpam-4987	126	10	good	good	ADJ
ejpam-4987	126	11	approximation	approximation	NOUN
ejpam-4987	126	12	of	of	ADP
ejpam-4987	126	13	the	the	DET
ejpam-4987	126	14	reality	reality	NOUN
ejpam-4987	126	15	of	of	ADP
ejpam-4987	126	16	hepatitis	hepatitis	PROPN
ejpam-4987	126	17	b	b	PROPN
ejpam-4987	126	18	epidemiology	epidemiology	NOUN
ejpam-4987	126	19	in	in	ADP
ejpam-4987	126	20	burkina	burkina	PROPN
ejpam-4987	126	21	faso	faso	PROPN
ejpam-4987	126	22	.	.	PUNCT
ejpam-4987	127	1	•	•	NUM
ejpam-4987	127	2	the	the	DET
ejpam-4987	127	3	compartment	compartment	NOUN
ejpam-4987	127	4	s1	s1	NOUN
ejpam-4987	127	5	represents	represent	VERB
ejpam-4987	127	6	the	the	DET
ejpam-4987	127	7	class	class	NOUN
ejpam-4987	127	8	of	of	ADP
ejpam-4987	127	9	infants	infant	NOUN
ejpam-4987	127	10	aged	age	VERB
ejpam-4987	127	11	0	0	NUM
ejpam-4987	127	12	to	to	PART
ejpam-4987	127	13	1	1	NUM
ejpam-4987	127	14	year	year	NOUN
ejpam-4987	127	15	.	.	PUNCT
ejpam-4987	128	1	in	in	ADP
ejpam-4987	128	2	this	this	DET
ejpam-4987	128	3	compartment	compartment	NOUN
ejpam-4987	128	4	,	,	PUNCT
ejpam-4987	128	5	the	the	DET
ejpam-4987	128	6	total	total	ADJ
ejpam-4987	128	7	population	population	NOUN
ejpam-4987	128	8	births	birth	NOUN
ejpam-4987	128	9	is	be	AUX
ejpam-4987	128	10	λ−	λ−	PROPN
ejpam-4987	128	11	λii	λii	NOUN
ejpam-4987	128	12	−	−	PROPN
ejpam-4987	128	13	λcc	λcc	PROPN
ejpam-4987	128	14	.	.	PUNCT
ejpam-4987	129	1	it	it	PRON
ejpam-4987	129	2	emerges	emerge	VERB
ejpam-4987	129	3	the	the	DET
ejpam-4987	129	4	infants	infant	NOUN
ejpam-4987	129	5	who	who	PRON
ejpam-4987	129	6	grow	grow	VERB
ejpam-4987	129	7	up	up	ADP
ejpam-4987	129	8	with	with	ADP
ejpam-4987	129	9	a	a	DET
ejpam-4987	129	10	proportion	proportion	NOUN
ejpam-4987	129	11	p1	p1	NOUN
ejpam-4987	129	12	to	to	PART
ejpam-4987	129	13	enter	enter	VERB
ejpam-4987	129	14	the	the	DET
ejpam-4987	129	15	compartment	compartment	NOUN
ejpam-4987	129	16	s2	s2	NOUN
ejpam-4987	129	17	,	,	PUNCT
ejpam-4987	129	18	the	the	DET
ejpam-4987	129	19	natural	natural	ADJ
ejpam-4987	129	20	mortality	mortality	NOUN
ejpam-4987	129	21	µs1	µs1	PROPN
ejpam-4987	129	22	,	,	PUNCT
ejpam-4987	129	23	and	and	CCONJ
ejpam-4987	129	24	also	also	ADV
ejpam-4987	129	25	the	the	DET
ejpam-4987	129	26	babies	baby	NOUN
ejpam-4987	129	27	who	who	PRON
ejpam-4987	129	28	are	be	AUX
ejpam-4987	129	29	infected	infect	VERB
ejpam-4987	129	30	by	by	ADP
ejpam-4987	129	31	vertical	vertical	ADJ
ejpam-4987	129	32	transmission	transmission	NOUN
ejpam-4987	129	33	with	with	ADP
ejpam-4987	129	34	a	a	DET
ejpam-4987	129	35	coefficient	coefficient	NOUN
ejpam-4987	129	36	β1,i	β1,i	PROPN
ejpam-4987	129	37	,	,	PUNCT
ejpam-4987	129	38	i	i	NOUN
ejpam-4987	129	39	=	=	NOUN
ejpam-4987	129	40	1	1	NUM
ejpam-4987	129	41	,	,	PUNCT
ejpam-4987	129	42	...	...	PUNCT
ejpam-4987	129	43	,	,	PUNCT
ejpam-4987	129	44	4	4	X
ejpam-4987	129	45	.	.	PUNCT
ejpam-4987	130	1	the	the	DET
ejpam-4987	130	2	latter	latter	ADJ
ejpam-4987	130	3	become	become	AUX
ejpam-4987	130	4	exposed	expose	VERB
ejpam-4987	130	5	infected	infected	ADJ
ejpam-4987	130	6	ei	ei	NOUN
ejpam-4987	130	7	with	with	ADP
ejpam-4987	130	8	probability	probability	NOUN
ejpam-4987	130	9	α1	α1	PROPN
ejpam-4987	130	10	,	,	PUNCT
ejpam-4987	130	11	and	and	CCONJ
ejpam-4987	130	12	chronic	chronic	ADJ
ejpam-4987	130	13	exposed	expose	VERB
ejpam-4987	130	14	ec	ec	PROPN
ejpam-4987	130	15	with	with	ADP
ejpam-4987	130	16	probability	probability	NOUN
ejpam-4987	130	17	(	(	PUNCT
ejpam-4987	130	18	1−	1−	NUM
ejpam-4987	130	19	α1	α1	PROPN
ejpam-4987	130	20	)	)	PUNCT
ejpam-4987	130	21	.	.	PUNCT
ejpam-4987	131	1	•	•	NUM
ejpam-4987	131	2	the	the	DET
ejpam-4987	131	3	compartment	compartment	NOUN
ejpam-4987	131	4	s2	s2	NOUN
ejpam-4987	131	5	represents	represent	VERB
ejpam-4987	131	6	children	child	NOUN
ejpam-4987	131	7	aged	age	VERB
ejpam-4987	131	8	1	1	NUM
ejpam-4987	131	9	to	to	PART
ejpam-4987	131	10	5	5	NUM
ejpam-4987	131	11	years	year	NOUN
ejpam-4987	131	12	.	.	PUNCT
ejpam-4987	132	1	in	in	ADP
ejpam-4987	132	2	this	this	DET
ejpam-4987	132	3	compartment	compartment	NOUN
ejpam-4987	132	4	,	,	PUNCT
ejpam-4987	132	5	w.-o	w.-o	NOUN
ejpam-4987	132	6	sawadogo	sawadogo	VERB
ejpam-4987	132	7	et	et	PROPN
ejpam-4987	132	8	al	al	PROPN
ejpam-4987	132	9	.	.	PUNCT
ejpam-4987	132	10	/	/	SYM
ejpam-4987	132	11	eur	eur	PROPN
ejpam-4987	132	12	.	.	PUNCT
ejpam-4987	133	1	j.	j.	PROPN
ejpam-4987	133	2	pure	pure	PROPN
ejpam-4987	133	3	appl	appl	PROPN
ejpam-4987	133	4	.	.	PROPN
ejpam-4987	133	5	math	math	PROPN
ejpam-4987	133	6	,	,	PUNCT
ejpam-4987	133	7	17	17	NUM
ejpam-4987	133	8	(	(	PUNCT
ejpam-4987	133	9	1	1	NUM
ejpam-4987	133	10	)	)	PUNCT
ejpam-4987	133	11	(	(	PUNCT
ejpam-4987	133	12	2024	2024	NUM
ejpam-4987	133	13	)	)	PUNCT
ejpam-4987	133	14	,	,	PUNCT
ejpam-4987	133	15	59	59	NUM
ejpam-4987	133	16	-	-	SYM
ejpam-4987	133	17	92	92	NUM
ejpam-4987	133	18	66	66	NUM
ejpam-4987	133	19	infants	infant	NOUN
ejpam-4987	133	20	from	from	ADP
ejpam-4987	133	21	compartment	compartment	NOUN
ejpam-4987	133	22	s1	s1	NOUN
ejpam-4987	133	23	with	with	ADP
ejpam-4987	133	24	a	a	DET
ejpam-4987	133	25	proportion	proportion	NOUN
ejpam-4987	133	26	p1	p1	NOUN
ejpam-4987	133	27	enter	enter	VERB
ejpam-4987	133	28	,	,	PUNCT
ejpam-4987	133	29	and	and	CCONJ
ejpam-4987	133	30	babies	baby	NOUN
ejpam-4987	133	31	who	who	PRON
ejpam-4987	133	32	grow	grow	VERB
ejpam-4987	133	33	up	up	ADP
ejpam-4987	133	34	with	with	ADP
ejpam-4987	133	35	a	a	DET
ejpam-4987	133	36	proportion	proportion	NOUN
ejpam-4987	133	37	of	of	ADP
ejpam-4987	133	38	p2	p2	PROPN
ejpam-4987	133	39	move	move	NOUN
ejpam-4987	133	40	to	to	ADP
ejpam-4987	133	41	compartment	compartment	NOUN
ejpam-4987	133	42	s3	s3	PROPN
ejpam-4987	133	43	,	,	PUNCT
ejpam-4987	133	44	natural	natural	ADJ
ejpam-4987	133	45	mortality	mortality	NOUN
ejpam-4987	133	46	µs2	µs2	PROPN
ejpam-4987	133	47	and	and	CCONJ
ejpam-4987	133	48	those	those	PRON
ejpam-4987	133	49	infected	infect	VERB
ejpam-4987	133	50	with	with	ADP
ejpam-4987	133	51	a	a	DET
ejpam-4987	133	52	coefficient	coefficient	NOUN
ejpam-4987	133	53	β1,i	β1,i	PROPN
ejpam-4987	133	54	for	for	ADP
ejpam-4987	133	55	i	i	PRON
ejpam-4987	133	56	=	=	NOUN
ejpam-4987	133	57	1	1	NUM
ejpam-4987	133	58	,	,	PUNCT
ejpam-4987	133	59	...	...	PUNCT
ejpam-4987	133	60	,	,	PUNCT
ejpam-4987	133	61	4	4	X
ejpam-4987	133	62	.	.	PUNCT
ejpam-4987	134	1	the	the	DET
ejpam-4987	134	2	latter	latter	ADJ
ejpam-4987	134	3	ones	one	NOUN
ejpam-4987	134	4	become	become	AUX
ejpam-4987	134	5	exposed	expose	VERB
ejpam-4987	134	6	infected	infected	ADJ
ejpam-4987	134	7	ei	ei	NOUN
ejpam-4987	134	8	with	with	ADP
ejpam-4987	134	9	probability	probability	NOUN
ejpam-4987	134	10	(	(	PUNCT
ejpam-4987	134	11	1	1	NUM
ejpam-4987	134	12	−	−	NUM
ejpam-4987	134	13	α2	α2	ADJ
ejpam-4987	134	14	)	)	PUNCT
ejpam-4987	134	15	,	,	PUNCT
ejpam-4987	134	16	and	and	CCONJ
ejpam-4987	134	17	chronic	chronic	ADJ
ejpam-4987	134	18	exposed	expose	VERB
ejpam-4987	134	19	ec	ec	PROPN
ejpam-4987	134	20	with	with	ADP
ejpam-4987	134	21	probability	probability	NOUN
ejpam-4987	134	22	(	(	PUNCT
ejpam-4987	134	23	1−	1−	NUM
ejpam-4987	134	24	α2	α2	ADJ
ejpam-4987	134	25	)	)	PUNCT
ejpam-4987	134	26	.	.	PUNCT
ejpam-4987	135	1	•	•	NOUN
ejpam-4987	135	2	the	the	DET
ejpam-4987	135	3	s3	s3	PROPN
ejpam-4987	135	4	compartment	compartment	NOUN
ejpam-4987	135	5	is	be	AUX
ejpam-4987	135	6	composed	compose	VERB
ejpam-4987	135	7	of	of	ADP
ejpam-4987	135	8	children	child	NOUN
ejpam-4987	135	9	over	over	ADP
ejpam-4987	135	10	5	5	NUM
ejpam-4987	135	11	years	year	NOUN
ejpam-4987	135	12	old	old	ADJ
ejpam-4987	135	13	,	,	PUNCT
ejpam-4987	135	14	adolescents	adolescent	NOUN
ejpam-4987	135	15	and	and	CCONJ
ejpam-4987	135	16	susceptible	susceptible	ADJ
ejpam-4987	135	17	adults	adult	NOUN
ejpam-4987	135	18	.	.	PUNCT
ejpam-4987	136	1	in	in	ADP
ejpam-4987	136	2	this	this	DET
ejpam-4987	136	3	compartment	compartment	NOUN
ejpam-4987	136	4	,	,	PUNCT
ejpam-4987	136	5	the	the	DET
ejpam-4987	136	6	input	input	NOUN
ejpam-4987	136	7	stream	stream	NOUN
ejpam-4987	136	8	is	be	AUX
ejpam-4987	136	9	p2s2	p2s2	NOUN
ejpam-4987	136	10	,	,	PUNCT
ejpam-4987	136	11	which	which	PRON
ejpam-4987	136	12	represents	represent	VERB
ejpam-4987	136	13	children	child	NOUN
ejpam-4987	136	14	in	in	ADP
ejpam-4987	136	15	compartment	compartment	NOUN
ejpam-4987	136	16	s2	s2	NOUN
ejpam-4987	136	17	who	who	PRON
ejpam-4987	136	18	grow	grow	VERB
ejpam-4987	136	19	up	up	ADP
ejpam-4987	136	20	with	with	ADP
ejpam-4987	136	21	a	a	DET
ejpam-4987	136	22	proportion	proportion	NOUN
ejpam-4987	136	23	p2	p2	NOUN
ejpam-4987	136	24	.	.	PUNCT
ejpam-4987	137	1	the	the	DET
ejpam-4987	137	2	output	output	NOUN
ejpam-4987	137	3	stream	stream	NOUN
ejpam-4987	137	4	is	be	AUX
ejpam-4987	137	5	the	the	DET
ejpam-4987	137	6	natural	natural	ADJ
ejpam-4987	137	7	mortality	mortality	NOUN
ejpam-4987	137	8	of	of	ADP
ejpam-4987	137	9	susceptible	susceptible	ADJ
ejpam-4987	137	10	s3	s3	PROPN
ejpam-4987	137	11	,	,	PUNCT
ejpam-4987	137	12	and	and	CCONJ
ejpam-4987	137	13	infected	infect	VERB
ejpam-4987	137	14	individuals	individual	NOUN
ejpam-4987	137	15	who	who	PRON
ejpam-4987	137	16	become	become	VERB
ejpam-4987	137	17	infected	infected	ADJ
ejpam-4987	137	18	with	with	ADP
ejpam-4987	137	19	the	the	DET
ejpam-4987	137	20	coefficient	coefficient	NOUN
ejpam-4987	137	21	β3,i	β3,i	PROPN
ejpam-4987	137	22	,	,	PUNCT
ejpam-4987	137	23	i	i	PRON
ejpam-4987	137	24	=	=	NOUN
ejpam-4987	137	25	1	1	NUM
ejpam-4987	137	26	,	,	PUNCT
ejpam-4987	137	27	2	2	NUM
ejpam-4987	137	28	,	,	PUNCT
ejpam-4987	137	29	3	3	NUM
ejpam-4987	137	30	.	.	PUNCT
ejpam-4987	138	1	the	the	DET
ejpam-4987	138	2	latter	latter	ADJ
ejpam-4987	138	3	ones	one	NOUN
ejpam-4987	138	4	become	become	AUX
ejpam-4987	138	5	exposed	expose	VERB
ejpam-4987	138	6	infected	infected	ADJ
ejpam-4987	138	7	ei	ei	NOUN
ejpam-4987	138	8	with	with	ADP
ejpam-4987	138	9	probability	probability	NOUN
ejpam-4987	138	10	α3	α3	NOUN
ejpam-4987	138	11	,	,	PUNCT
ejpam-4987	138	12	and	and	CCONJ
ejpam-4987	138	13	chronically	chronically	ADV
ejpam-4987	138	14	exposed	expose	VERB
ejpam-4987	138	15	ec	ec	PROPN
ejpam-4987	138	16	with	with	ADP
ejpam-4987	138	17	probability	probability	NOUN
ejpam-4987	138	18	(	(	PUNCT
ejpam-4987	138	19	1−	1−	NUM
ejpam-4987	138	20	α3	α3	NOUN
ejpam-4987	138	21	)	)	PUNCT
ejpam-4987	138	22	.	.	PUNCT
ejpam-4987	139	1	there	there	PRON
ejpam-4987	139	2	are	be	VERB
ejpam-4987	139	3	two	two	NUM
ejpam-4987	139	4	compartments	compartment	NOUN
ejpam-4987	139	5	of	of	ADP
ejpam-4987	139	6	exposed	expose	VERB
ejpam-4987	139	7	people	people	NOUN
ejpam-4987	139	8	:	:	PUNCT
ejpam-4987	139	9	•	•	ADP
ejpam-4987	139	10	the	the	DET
ejpam-4987	139	11	ei	ei	NOUN
ejpam-4987	139	12	compartment	compartment	NOUN
ejpam-4987	139	13	represents	represents	AUX
ejpam-4987	139	14	exposed	expose	VERB
ejpam-4987	139	15	infected	infected	ADJ
ejpam-4987	139	16	individuals	individual	NOUN
ejpam-4987	139	17	,	,	PUNCT
ejpam-4987	139	18	i.e.	i.e.	X
ejpam-4987	139	19	exposed	expose	VERB
ejpam-4987	139	20	that	that	PRON
ejpam-4987	139	21	will	will	AUX
ejpam-4987	139	22	evolve	evolve	VERB
ejpam-4987	139	23	towards	towards	ADP
ejpam-4987	139	24	an	an	DET
ejpam-4987	139	25	infectious	infectious	ADJ
ejpam-4987	139	26	state	state	NOUN
ejpam-4987	139	27	.	.	PUNCT
ejpam-4987	140	1	the	the	DET
ejpam-4987	140	2	entry	entry	NOUN
ejpam-4987	140	3	of	of	ADP
ejpam-4987	140	4	this	this	DET
ejpam-4987	140	5	compartment	compartment	NOUN
ejpam-4987	140	6	is	be	AUX
ejpam-4987	140	7	characterized	characterize	VERB
ejpam-4987	140	8	by	by	ADP
ejpam-4987	140	9	the	the	DET
ejpam-4987	140	10	susceptible	susceptible	ADJ
ejpam-4987	140	11	that	that	PRON
ejpam-4987	140	12	have	have	AUX
ejpam-4987	140	13	been	be	AUX
ejpam-4987	140	14	infected	infect	VERB
ejpam-4987	140	15	according	accord	VERB
ejpam-4987	140	16	to	to	ADP
ejpam-4987	140	17	the	the	DET
ejpam-4987	140	18	coefficients	coefficient	NOUN
ejpam-4987	140	19	αiβi	αiβi	ADJ
ejpam-4987	140	20	,	,	PUNCT
ejpam-4987	140	21	j	j	PROPN
ejpam-4987	140	22	,	,	PUNCT
ejpam-4987	140	23	i	i	PRON
ejpam-4987	140	24	=	=	NOUN
ejpam-4987	140	25	1	1	NUM
ejpam-4987	140	26	,	,	PUNCT
ejpam-4987	140	27	2	2	NUM
ejpam-4987	140	28	,	,	PUNCT
ejpam-4987	140	29	3	3	NUM
ejpam-4987	140	30	,	,	PUNCT
ejpam-4987	140	31	j	j	PROPN
ejpam-4987	140	32	=	=	SYM
ejpam-4987	140	33	1	1	NUM
ejpam-4987	140	34	,	,	PUNCT
ejpam-4987	140	35	2	2	NUM
ejpam-4987	140	36	,	,	PUNCT
ejpam-4987	140	37	3	3	NUM
ejpam-4987	140	38	,	,	PUNCT
ejpam-4987	140	39	and	and	CCONJ
ejpam-4987	140	40	acute	acute	ADJ
ejpam-4987	140	41	contaminated	contaminate	VERB
ejpam-4987	140	42	people	people	NOUN
ejpam-4987	140	43	λii	λii	X
ejpam-4987	140	44	who	who	PRON
ejpam-4987	140	45	are	be	AUX
ejpam-4987	140	46	infected	infect	VERB
ejpam-4987	140	47	by	by	ADP
ejpam-4987	140	48	vertical	vertical	ADJ
ejpam-4987	140	49	transmission	transmission	NOUN
ejpam-4987	140	50	.	.	PUNCT
ejpam-4987	141	1	the	the	DET
ejpam-4987	141	2	output	output	NOUN
ejpam-4987	141	3	is	be	AUX
ejpam-4987	141	4	composed	compose	VERB
ejpam-4987	141	5	of	of	ADP
ejpam-4987	141	6	natural	natural	ADJ
ejpam-4987	141	7	mortality	mortality	NOUN
ejpam-4987	141	8	ei	ei	NOUN
ejpam-4987	141	9	,	,	PUNCT
ejpam-4987	141	10	as	as	ADV
ejpam-4987	141	11	well	well	ADV
ejpam-4987	141	12	as	as	ADP
ejpam-4987	141	13	the	the	DET
ejpam-4987	141	14	evolution	evolution	NOUN
ejpam-4987	141	15	towards	towards	ADP
ejpam-4987	141	16	an	an	DET
ejpam-4987	141	17	infectious	infectious	ADJ
ejpam-4987	141	18	state	state	NOUN
ejpam-4987	141	19	with	with	ADP
ejpam-4987	141	20	a	a	DET
ejpam-4987	141	21	proportion	proportion	NOUN
ejpam-4987	141	22	δ1	δ1	NOUN
ejpam-4987	141	23	.	.	PUNCT
ejpam-4987	142	1	•	•	NUM
ejpam-4987	142	2	the	the	DET
ejpam-4987	142	3	ec	ec	PROPN
ejpam-4987	142	4	compartment	compartment	NOUN
ejpam-4987	142	5	represents	represent	VERB
ejpam-4987	142	6	the	the	DET
ejpam-4987	142	7	chronically	chronically	ADV
ejpam-4987	142	8	exposed	expose	VERB
ejpam-4987	142	9	,	,	PUNCT
ejpam-4987	142	10	i.e.	i.e.	X
ejpam-4987	142	11	exposed	expose	VERB
ejpam-4987	142	12	that	that	PRON
ejpam-4987	142	13	will	will	AUX
ejpam-4987	142	14	evolve	evolve	VERB
ejpam-4987	142	15	towards	towards	ADP
ejpam-4987	142	16	a	a	DET
ejpam-4987	142	17	chronic	chronic	ADJ
ejpam-4987	142	18	state	state	NOUN
ejpam-4987	142	19	.	.	PUNCT
ejpam-4987	143	1	the	the	DET
ejpam-4987	143	2	input	input	NOUN
ejpam-4987	143	3	of	of	ADP
ejpam-4987	143	4	this	this	DET
ejpam-4987	143	5	compartment	compartment	NOUN
ejpam-4987	143	6	is	be	AUX
ejpam-4987	143	7	characterized	characterize	VERB
ejpam-4987	143	8	by	by	ADP
ejpam-4987	143	9	susceptible	susceptible	ADJ
ejpam-4987	143	10	individuals	individual	NOUN
ejpam-4987	143	11	who	who	PRON
ejpam-4987	143	12	have	have	AUX
ejpam-4987	143	13	been	be	AUX
ejpam-4987	143	14	infected	infect	VERB
ejpam-4987	143	15	according	accord	VERB
ejpam-4987	143	16	to	to	ADP
ejpam-4987	143	17	the	the	DET
ejpam-4987	143	18	coefficients	coefficient	NOUN
ejpam-4987	143	19	(	(	PUNCT
ejpam-4987	143	20	1	1	NUM
ejpam-4987	143	21	−	−	NUM
ejpam-4987	143	22	αi)βi	αi)βi	NUM
ejpam-4987	143	23	,	,	PUNCT
ejpam-4987	143	24	j	j	PROPN
ejpam-4987	143	25	for	for	ADP
ejpam-4987	143	26	(	(	PUNCT
ejpam-4987	143	27	i	i	NOUN
ejpam-4987	143	28	=	=	NOUN
ejpam-4987	143	29	1	1	NUM
ejpam-4987	143	30	,	,	PUNCT
ejpam-4987	143	31	2	2	NUM
ejpam-4987	143	32	,	,	PUNCT
ejpam-4987	143	33	3	3	NUM
ejpam-4987	143	34	and	and	CCONJ
ejpam-4987	143	35	j	j	NOUN
ejpam-4987	143	36	=	=	SYM
ejpam-4987	143	37	1	1	NUM
ejpam-4987	143	38	,	,	PUNCT
ejpam-4987	143	39	2	2	NUM
ejpam-4987	143	40	,	,	PUNCT
ejpam-4987	143	41	3	3	NUM
ejpam-4987	143	42	)	)	PUNCT
ejpam-4987	143	43	.	.	PUNCT
ejpam-4987	144	1	also	also	ADV
ejpam-4987	144	2	,	,	PUNCT
ejpam-4987	144	3	the	the	DET
ejpam-4987	144	4	input	input	NOUN
ejpam-4987	144	5	of	of	ADP
ejpam-4987	144	6	the	the	DET
ejpam-4987	144	7	ec	ec	PROPN
ejpam-4987	144	8	compartment	compartment	NOUN
ejpam-4987	144	9	is	be	AUX
ejpam-4987	144	10	characterized	characterize	VERB
ejpam-4987	144	11	by	by	ADP
ejpam-4987	144	12	individuals	individual	NOUN
ejpam-4987	144	13	who	who	PRON
ejpam-4987	144	14	are	be	AUX
ejpam-4987	144	15	chronically	chronically	ADV
ejpam-4987	144	16	infected	infect	VERB
ejpam-4987	144	17	through	through	ADP
ejpam-4987	144	18	vertical	vertical	ADJ
ejpam-4987	144	19	transmission	transmission	NOUN
ejpam-4987	144	20	λcc	λcc	NOUN
ejpam-4987	144	21	.	.	PUNCT
ejpam-4987	145	1	the	the	DET
ejpam-4987	145	2	exit	exit	NOUN
ejpam-4987	145	3	is	be	AUX
ejpam-4987	145	4	constituted	constitute	VERB
ejpam-4987	145	5	on	on	ADP
ejpam-4987	145	6	one	one	NUM
ejpam-4987	145	7	hand	hand	NOUN
ejpam-4987	145	8	by	by	ADP
ejpam-4987	145	9	the	the	DET
ejpam-4987	145	10	natural	natural	ADJ
ejpam-4987	145	11	mortality	mortality	NOUN
ejpam-4987	145	12	ec	ec	PROPN
ejpam-4987	145	13	,	,	PUNCT
ejpam-4987	145	14	and	and	CCONJ
ejpam-4987	145	15	on	on	ADP
ejpam-4987	145	16	the	the	DET
ejpam-4987	145	17	other	other	ADJ
ejpam-4987	145	18	hand	hand	NOUN
ejpam-4987	145	19	by	by	ADP
ejpam-4987	145	20	the	the	DET
ejpam-4987	145	21	evolution	evolution	NOUN
ejpam-4987	145	22	towards	towards	ADP
ejpam-4987	145	23	an	an	DET
ejpam-4987	145	24	infectious	infectious	ADJ
ejpam-4987	145	25	state	state	NOUN
ejpam-4987	145	26	with	with	ADP
ejpam-4987	145	27	a	a	DET
ejpam-4987	145	28	proportion	proportion	NOUN
ejpam-4987	145	29	δ2	δ2	VERB
ejpam-4987	145	30	.	.	PUNCT
ejpam-4987	146	1	three	three	NUM
ejpam-4987	146	2	further	further	ADJ
ejpam-4987	146	3	compartments	compartment	NOUN
ejpam-4987	146	4	remain	remain	VERB
ejpam-4987	146	5	:	:	PUNCT
ejpam-4987	146	6	•	•	ADP
ejpam-4987	146	7	the	the	DET
ejpam-4987	146	8	acute	acute	ADJ
ejpam-4987	146	9	infected	infect	VERB
ejpam-4987	146	10	compartment	compartment	NOUN
ejpam-4987	146	11	i	i	PRON
ejpam-4987	146	12	,	,	PUNCT
ejpam-4987	146	13	characterized	characterize	VERB
ejpam-4987	146	14	by	by	ADP
ejpam-4987	146	15	an	an	DET
ejpam-4987	146	16	input	input	NOUN
ejpam-4987	146	17	δ1ei	δ1ei	PRON
ejpam-4987	146	18	,	,	PUNCT
ejpam-4987	146	19	and	and	CCONJ
ejpam-4987	146	20	an	an	DET
ejpam-4987	146	21	output	output	NOUN
ejpam-4987	146	22	composed	compose	VERB
ejpam-4987	146	23	of	of	ADP
ejpam-4987	146	24	mortality	mortality	NOUN
ejpam-4987	146	25	(	(	PUNCT
ejpam-4987	146	26	µ+µi)i	µ+µi)i	NOUN
ejpam-4987	146	27	(	(	PUNCT
ejpam-4987	146	28	natural	natural	ADJ
ejpam-4987	146	29	mortality	mortality	NOUN
ejpam-4987	146	30	and	and	CCONJ
ejpam-4987	146	31	mortality	mortality	NOUN
ejpam-4987	146	32	due	due	ADP
ejpam-4987	146	33	to	to	ADP
ejpam-4987	146	34	the	the	DET
ejpam-4987	146	35	disease	disease	NOUN
ejpam-4987	146	36	)	)	PUNCT
ejpam-4987	146	37	,	,	PUNCT
ejpam-4987	146	38	and	and	CCONJ
ejpam-4987	146	39	recovery	recovery	PROPN
ejpam-4987	146	40	γii	γii	NOUN
ejpam-4987	146	41	.	.	PUNCT
ejpam-4987	147	1	•	•	NOUN
ejpam-4987	147	2	the	the	DET
ejpam-4987	147	3	compartment	compartment	NOUN
ejpam-4987	147	4	represents	represent	VERB
ejpam-4987	147	5	the	the	DET
ejpam-4987	147	6	chronically	chronically	ADV
ejpam-4987	147	7	infected	infected	ADJ
ejpam-4987	147	8	c.	c.	NOUN
ejpam-4987	147	9	the	the	DET
ejpam-4987	147	10	entry	entry	NOUN
ejpam-4987	147	11	of	of	ADP
ejpam-4987	147	12	this	this	DET
ejpam-4987	147	13	compartment	compartment	NOUN
ejpam-4987	147	14	is	be	AUX
ejpam-4987	147	15	ec	ec	PROPN
ejpam-4987	147	16	,	,	PUNCT
ejpam-4987	147	17	and	and	CCONJ
ejpam-4987	147	18	the	the	DET
ejpam-4987	147	19	output	output	NOUN
ejpam-4987	147	20	is	be	AUX
ejpam-4987	147	21	composed	compose	VERB
ejpam-4987	147	22	of	of	ADP
ejpam-4987	147	23	mortality	mortality	NOUN
ejpam-4987	147	24	(	(	PUNCT
ejpam-4987	147	25	µ+	µ+	X
ejpam-4987	147	26	µc)c	µc)c	NUM
ejpam-4987	147	27	(	(	PUNCT
ejpam-4987	147	28	natural	natural	ADJ
ejpam-4987	147	29	mortality	mortality	NOUN
ejpam-4987	147	30	and	and	CCONJ
ejpam-4987	147	31	mortality	mortality	NOUN
ejpam-4987	147	32	due	due	ADP
ejpam-4987	147	33	to	to	ADP
ejpam-4987	147	34	the	the	DET
ejpam-4987	147	35	disease	disease	NOUN
ejpam-4987	147	36	)	)	PUNCT
ejpam-4987	147	37	,	,	PUNCT
ejpam-4987	147	38	and	and	CCONJ
ejpam-4987	147	39	recovery	recovery	NOUN
ejpam-4987	147	40	γcc	γcc	NOUN
ejpam-4987	147	41	.	.	PUNCT
ejpam-4987	148	1	•	•	NUM
ejpam-4987	148	2	the	the	DET
ejpam-4987	148	3	compartment	compartment	NOUN
ejpam-4987	148	4	r	r	NOUN
ejpam-4987	148	5	(	(	PUNCT
ejpam-4987	148	6	recovered	recover	VERB
ejpam-4987	148	7	)	)	PUNCT
ejpam-4987	148	8	represents	represent	VERB
ejpam-4987	148	9	individuals	individual	NOUN
ejpam-4987	148	10	who	who	PRON
ejpam-4987	148	11	are	be	AUX
ejpam-4987	148	12	cured	cure	VERB
ejpam-4987	148	13	of	of	ADP
ejpam-4987	148	14	the	the	DET
ejpam-4987	148	15	disease	disease	NOUN
ejpam-4987	148	16	.	.	PUNCT
ejpam-4987	149	1	there	there	PRON
ejpam-4987	149	2	enters	enter	VERB
ejpam-4987	149	3	the	the	DET
ejpam-4987	149	4	cured	cured	NOUN
ejpam-4987	149	5	(	(	PUNCT
ejpam-4987	149	6	γii	γii	NOUN
ejpam-4987	149	7	and	and	CCONJ
ejpam-4987	149	8	γcc	γcc	ADJ
ejpam-4987	149	9	)	)	PUNCT
ejpam-4987	149	10	and	and	CCONJ
ejpam-4987	149	11	emerges	emerge	VERB
ejpam-4987	149	12	the	the	DET
ejpam-4987	149	13	mortality	mortality	NOUN
ejpam-4987	149	14	µr	µr	ADP
ejpam-4987	149	15	.	.	PUNCT
ejpam-4987	150	1	the	the	DET
ejpam-4987	150	2	described	describe	VERB
ejpam-4987	150	3	interactions	interaction	NOUN
ejpam-4987	150	4	are	be	AUX
ejpam-4987	150	5	illustrated	illustrate	VERB
ejpam-4987	150	6	in	in	ADP
ejpam-4987	150	7	figure	figure	NOUN
ejpam-4987	150	8	3	3	NUM
ejpam-4987	150	9	.	.	PUNCT
ejpam-4987	150	10	w.-o	w.-o	PROPN
ejpam-4987	150	11	sawadogo	sawadogo	VERB
ejpam-4987	151	1	et	et	PROPN
ejpam-4987	151	2	al	al	PROPN
ejpam-4987	151	3	.	.	PUNCT
ejpam-4987	151	4	/	/	SYM
ejpam-4987	151	5	eur	eur	PROPN
ejpam-4987	151	6	.	.	PUNCT
ejpam-4987	152	1	j.	j.	PROPN
ejpam-4987	152	2	pure	pure	PROPN
ejpam-4987	152	3	appl	appl	PROPN
ejpam-4987	152	4	.	.	PROPN
ejpam-4987	152	5	math	math	PROPN
ejpam-4987	152	6	,	,	PUNCT
ejpam-4987	152	7	17	17	NUM
ejpam-4987	152	8	(	(	PUNCT
ejpam-4987	152	9	1	1	NUM
ejpam-4987	152	10	)	)	PUNCT
ejpam-4987	152	11	(	(	PUNCT
ejpam-4987	152	12	2024	2024	NUM
ejpam-4987	152	13	)	)	PUNCT
ejpam-4987	152	14	,	,	PUNCT
ejpam-4987	152	15	59	59	NUM
ejpam-4987	152	16	-	-	SYM
ejpam-4987	152	17	92	92	NUM
ejpam-4987	152	18	67	67	NUM
ejpam-4987	152	19	figure	figure	NOUN
ejpam-4987	152	20	3	3	NUM
ejpam-4987	152	21	:	:	PUNCT
ejpam-4987	152	22	hbv	hbv	NOUN
ejpam-4987	152	23	model	model	NOUN
ejpam-4987	152	24	with	with	ADP
ejpam-4987	152	25	vertical	vertical	ADJ
ejpam-4987	152	26	transmission	transmission	NOUN
ejpam-4987	152	27	3	3	NUM
ejpam-4987	152	28	.	.	PUNCT
ejpam-4987	152	29	mathematical	mathematical	ADJ
ejpam-4987	152	30	analysis	analysis	NOUN
ejpam-4987	152	31	of	of	ADP
ejpam-4987	152	32	the	the	DET
ejpam-4987	152	33	model	model	NOUN
ejpam-4987	152	34	3.1	3.1	NUM
ejpam-4987	152	35	.	.	PUNCT
ejpam-4987	152	36	mathematical	mathematical	ADJ
ejpam-4987	152	37	model	model	NOUN
ejpam-4987	152	38	by	by	ADP
ejpam-4987	152	39	doing	do	VERB
ejpam-4987	152	40	a	a	DET
ejpam-4987	152	41	mass	mass	ADJ
ejpam-4987	152	42	balance	balance	NOUN
ejpam-4987	152	43	through	through	ADP
ejpam-4987	152	44	the	the	DET
ejpam-4987	152	45	different	different	ADJ
ejpam-4987	152	46	considered	consider	VERB
ejpam-4987	152	47	compartments	compartment	NOUN
ejpam-4987	152	48	,	,	PUNCT
ejpam-4987	152	49	one	one	PRON
ejpam-4987	152	50	obtains	obtain	VERB
ejpam-4987	152	51	the	the	DET
ejpam-4987	152	52	following	follow	VERB
ejpam-4987	152	53	system:	system:	PROPN
ejpam-4987	152	54	ds1	ds1	PROPN
ejpam-4987	152	55	dt	dt	X
ejpam-4987	153	1	=	=	PUNCT
ejpam-4987	153	2	λ−	λ−	PROPN
ejpam-4987	153	3	λii	λii	NOUN
ejpam-4987	153	4	−	−	X
ejpam-4987	153	5	λcc	λcc	PRON
ejpam-4987	153	6	−	−	NOUN
ejpam-4987	153	7	µs1	µs1	VERB
ejpam-4987	153	8	−	−	NOUN
ejpam-4987	153	9	p1s1	p1s1	ADP
ejpam-4987	153	10	−	−	PROPN
ejpam-4987	153	11	β1,1eis1	β1,1eis1	PUNCT
ejpam-4987	153	12	−	−	PROPN
ejpam-4987	153	13	β1,2ecs1	β1,2ecs1	PUNCT
ejpam-4987	153	14	−	−	PROPN
ejpam-4987	153	15	β1,3is1	β1,3is1	VERB
ejpam-4987	153	16	−	−	PROPN
ejpam-4987	153	17	β1,4cs1	β1,4cs1	NOUN
ejpam-4987	154	1	ds2	ds2	PROPN
ejpam-4987	154	2	dt	dt	PROPN
ejpam-4987	155	1	=	=	PUNCT
ejpam-4987	155	2	p1s1	p1s1	ADP
ejpam-4987	155	3	−	−	X
ejpam-4987	156	1	µs2	µs2	PROPN
ejpam-4987	156	2	−	−	PROPN
ejpam-4987	157	1	β2,1eis2	β2,1eis2	PRON
ejpam-4987	157	2	−	−	PROPN
ejpam-4987	157	3	β2,2ecs2	β2,2ecs2	NOUN
ejpam-4987	157	4	−	−	PROPN
ejpam-4987	158	1	β2,3is2	β2,3is2	SYM
ejpam-4987	158	2	−	−	PROPN
ejpam-4987	158	3	β2,4cs2	β2,4cs2	PUNCT
ejpam-4987	159	1	−	−	PROPN
ejpam-4987	159	2	p2s2	p2s2	PROPN
ejpam-4987	159	3	ds3	ds3	NOUN
ejpam-4987	159	4	dt	dt	X
ejpam-4987	160	1	=	=	SYM
ejpam-4987	160	2	p2s2	p2s2	PROPN
ejpam-4987	160	3	−	−	PROPN
ejpam-4987	160	4	µs3	µs3	NOUN
ejpam-4987	160	5	−	−	PROPN
ejpam-4987	161	1	β3,1eis3	β3,1eis3	X
ejpam-4987	161	2	−	−	X
ejpam-4987	161	3	β3,2eis3	β3,2eis3	X
ejpam-4987	162	1	−	−	NOUN
ejpam-4987	162	2	β3,3is3	β3,3is3	X
ejpam-4987	162	3	−	−	PROPN
ejpam-4987	162	4	β3,4cs3	β3,4cs3	PUNCT
ejpam-4987	163	1	dei	dei	NOUN
ejpam-4987	163	2	dt	dt	NOUN
ejpam-4987	164	1	=	=	SYM
ejpam-4987	164	2	α1(β1,1eis1	α1(β1,1eis1	PROPN
ejpam-4987	164	3	+	+	CCONJ
ejpam-4987	164	4	β1,2ecs1	β1,2ecs1	X
ejpam-4987	164	5	+	+	CCONJ
ejpam-4987	164	6	β1,3is1	β1,3is1	VERB
ejpam-4987	164	7	+	+	X
ejpam-4987	164	8	β1,4cs1	β1,4cs1	NUM
ejpam-4987	164	9	)	)	PUNCT
ejpam-4987	165	1	+	+	CCONJ
ejpam-4987	165	2	α2(β2,1eis2	α2(β2,1eis2	ADJ
ejpam-4987	165	3	+	+	NOUN
ejpam-4987	165	4	β2,2ecs2	β2,2ecs2	NOUN
ejpam-4987	165	5	+	+	CCONJ
ejpam-4987	165	6	β2,3is2	β2,3is2	PUNCT
ejpam-4987	165	7	+	+	CCONJ
ejpam-4987	165	8	β2,4cs2	β2,4cs2	X
ejpam-4987	165	9	)	)	PUNCT
ejpam-4987	166	1	+	+	ADP
ejpam-4987	166	2	α3(β3,1eis3	α3(β3,1eis3	X
ejpam-4987	166	3	+	+	CCONJ
ejpam-4987	166	4	β3,2ecs3	β3,2ecs3	X
ejpam-4987	166	5	+	+	NUM
ejpam-4987	166	6	β3,3is3	β3,3is3	X
ejpam-4987	166	7	+	+	CCONJ
ejpam-4987	166	8	β3,4cs3)−	β3,4cs3)−	NOUN
ejpam-4987	166	9	µei	µei	NOUN
ejpam-4987	166	10	−	−	PROPN
ejpam-4987	166	11	δ1ei	δ1ei	X
ejpam-4987	167	1	+	+	PUNCT
ejpam-4987	167	2	λii	λii	X
ejpam-4987	167	3	dec	dec	PROPN
ejpam-4987	167	4	dt	dt	PROPN
ejpam-4987	168	1	=	=	PUNCT
ejpam-4987	169	1	(	(	PUNCT
ejpam-4987	169	2	1−	1−	NUM
ejpam-4987	169	3	α1)(β1,1eis1	α1)(β1,1eis1	NOUN
ejpam-4987	169	4	+	+	CCONJ
ejpam-4987	169	5	β1,2ecs1	β1,2ecs1	CCONJ
ejpam-4987	170	1	+	+	CCONJ
ejpam-4987	170	2	β1,3is1	β1,3is1	VERB
ejpam-4987	170	3	+	+	X
ejpam-4987	170	4	β1,4cs1	β1,4cs1	NUM
ejpam-4987	170	5	)	)	PUNCT
ejpam-4987	171	1	+	+	CCONJ
ejpam-4987	171	2	(	(	PUNCT
ejpam-4987	171	3	1−	1−	NUM
ejpam-4987	171	4	α2)(β2,1eis2	α2)(β2,1eis2	NUM
ejpam-4987	171	5	+	+	CCONJ
ejpam-4987	171	6	β2,2ecs2	β2,2ecs2	PUNCT
ejpam-4987	172	1	+	+	CCONJ
ejpam-4987	172	2	β2,3is2	β2,3is2	PUNCT
ejpam-4987	172	3	+	+	NOUN
ejpam-4987	172	4	β2,4cs2	β2,4cs2	NUM
ejpam-4987	172	5	)	)	PUNCT
ejpam-4987	173	1	+	+	CCONJ
ejpam-4987	173	2	(	(	PUNCT
ejpam-4987	173	3	1−	1−	NUM
ejpam-4987	173	4	α3)(β3,1eis3	α3)(β3,1eis3	PROPN
ejpam-4987	173	5	+	+	CCONJ
ejpam-4987	173	6	β3,2ecs3	β3,2ecs3	X
ejpam-4987	173	7	+	+	NUM
ejpam-4987	173	8	β3,3is3	β3,3is3	X
ejpam-4987	173	9	+	+	X
ejpam-4987	173	10	β3,4cs3	β3,4cs3	X
ejpam-4987	173	11	)	)	PUNCT
ejpam-4987	174	1	+	+	CCONJ
ejpam-4987	175	1	λcc	λcc	ADV
ejpam-4987	175	2	−	−	PUNCT
ejpam-4987	175	3	µec	µec	NOUN
ejpam-4987	175	4	−	−	PROPN
ejpam-4987	175	5	δ2ec	δ2ec	X
ejpam-4987	175	6	di	di	X
ejpam-4987	175	7	dt	dt	NOUN
ejpam-4987	175	8	=	=	PUNCT
ejpam-4987	175	9	δ1ei	δ1ei	PROPN
ejpam-4987	175	10	−	−	PROPN
ejpam-4987	175	11	µi	µi	INTJ
ejpam-4987	175	12	−	−	PROPN
ejpam-4987	175	13	µii	µii	NOUN
ejpam-4987	175	14	−	−	PROPN
ejpam-4987	175	15	γii	γii	NOUN
ejpam-4987	175	16	dc	dc	PROPN
ejpam-4987	175	17	dt	dt	NOUN
ejpam-4987	175	18	=	=	SYM
ejpam-4987	175	19	δ2ec	δ2ec	PUNCT
ejpam-4987	175	20	−	−	PROPN
ejpam-4987	175	21	µc	µc	INTJ
ejpam-4987	175	22	−	−	PROPN
ejpam-4987	175	23	µcc	µcc	NOUN
ejpam-4987	175	24	−	−	PROPN
ejpam-4987	175	25	γcc	γcc	ADV
ejpam-4987	175	26	dr	dr	PROPN
ejpam-4987	175	27	dt	dt	PROPN
ejpam-4987	175	28	=	=	PUNCT
ejpam-4987	175	29	γii	γii	PROPN
ejpam-4987	175	30	+	+	CCONJ
ejpam-4987	175	31	γcc	γcc	ADJ
ejpam-4987	175	32	−	−	NOUN
ejpam-4987	175	33	µr	µr	ADP
ejpam-4987	175	34	(	(	PUNCT
ejpam-4987	175	35	1	1	X
ejpam-4987	175	36	)	)	PUNCT
ejpam-4987	175	37	w.-o	w.-o	NOUN
ejpam-4987	175	38	sawadogo	sawadogo	VERB
ejpam-4987	175	39	et	et	PROPN
ejpam-4987	175	40	al	al	PROPN
ejpam-4987	175	41	.	.	PUNCT
ejpam-4987	175	42	/	/	SYM
ejpam-4987	175	43	eur	eur	PROPN
ejpam-4987	175	44	.	.	PUNCT
ejpam-4987	176	1	j.	j.	PROPN
ejpam-4987	176	2	pure	pure	PROPN
ejpam-4987	176	3	appl	appl	PROPN
ejpam-4987	176	4	.	.	PROPN
ejpam-4987	176	5	math	math	PROPN
ejpam-4987	176	6	,	,	PUNCT
ejpam-4987	176	7	17	17	NUM
ejpam-4987	176	8	(	(	PUNCT
ejpam-4987	176	9	1	1	NUM
ejpam-4987	176	10	)	)	PUNCT
ejpam-4987	176	11	(	(	PUNCT
ejpam-4987	176	12	2024	2024	NUM
ejpam-4987	176	13	)	)	PUNCT
ejpam-4987	176	14	,	,	PUNCT
ejpam-4987	176	15	59	59	NUM
ejpam-4987	176	16	-	-	SYM
ejpam-4987	176	17	92	92	NUM
ejpam-4987	176	18	68	68	NUM
ejpam-4987	176	19	the	the	DET
ejpam-4987	176	20	total	total	ADJ
ejpam-4987	176	21	number	number	NOUN
ejpam-4987	176	22	n(t	n(t	PROPN
ejpam-4987	176	23	)	)	PUNCT
ejpam-4987	176	24	of	of	ADP
ejpam-4987	176	25	the	the	DET
ejpam-4987	176	26	population	population	NOUN
ejpam-4987	176	27	studied	study	VERB
ejpam-4987	176	28	is	be	AUX
ejpam-4987	176	29	not	not	PART
ejpam-4987	176	30	constant	constant	ADJ
ejpam-4987	176	31	and	and	CCONJ
ejpam-4987	176	32	:	:	PUNCT
ejpam-4987	176	33	n(t	n(t	PROPN
ejpam-4987	176	34	)	)	PUNCT
ejpam-4987	176	35	=	=	PUNCT
ejpam-4987	176	36	s1(t	s1(t	X
ejpam-4987	176	37	)	)	PUNCT
ejpam-4987	176	38	+	+	X
ejpam-4987	176	39	s2(t	s2(t	X
ejpam-4987	176	40	)	)	PUNCT
ejpam-4987	176	41	+	+	X
ejpam-4987	177	1	s3(t	s3(t	VERB
ejpam-4987	177	2	)	)	PUNCT
ejpam-4987	177	3	+	+	NUM
ejpam-4987	177	4	ei(t	ei(t	X
ejpam-4987	177	5	)	)	PUNCT
ejpam-4987	177	6	+	+	NOUN
ejpam-4987	177	7	ec(t	ec(t	NOUN
ejpam-4987	177	8	)	)	PUNCT
ejpam-4987	178	1	+	+	CCONJ
ejpam-4987	178	2	i(t	i(t	NOUN
ejpam-4987	178	3	)	)	PUNCT
ejpam-4987	179	1	+	+	X
ejpam-4987	179	2	c(t	c(t	PROPN
ejpam-4987	179	3	)	)	PUNCT
ejpam-4987	179	4	+	+	NOUN
ejpam-4987	179	5	r(t	r(t	NOUN
ejpam-4987	179	6	)	)	PUNCT
ejpam-4987	179	7	(	(	PUNCT
ejpam-4987	179	8	2	2	X
ejpam-4987	179	9	)	)	PUNCT
ejpam-4987	179	10	since	since	SCONJ
ejpam-4987	179	11	people	people	NOUN
ejpam-4987	179	12	and	and	CCONJ
ejpam-4987	179	13	viruses	virus	NOUN
ejpam-4987	179	14	have	have	VERB
ejpam-4987	179	15	different	different	ADJ
ejpam-4987	179	16	dimensions	dimension	NOUN
ejpam-4987	179	17	,	,	PUNCT
ejpam-4987	179	18	they	they	PRON
ejpam-4987	179	19	therefore	therefore	ADV
ejpam-4987	179	20	have	have	VERB
ejpam-4987	179	21	to	to	PART
ejpam-4987	179	22	carry	carry	VERB
ejpam-4987	179	23	out	out	ADP
ejpam-4987	179	24	the	the	DET
ejpam-4987	179	25	following	follow	VERB
ejpam-4987	179	26	normalization	normalization	NOUN
ejpam-4987	179	27	:	:	PUNCT
ejpam-4987	179	28	s1	s1	NOUN
ejpam-4987	179	29	=	=	SYM
ejpam-4987	179	30	s1	s1	PROPN
ejpam-4987	179	31	n0	n0	X
ejpam-4987	179	32	,	,	PUNCT
ejpam-4987	179	33	s2	s2	PROPN
ejpam-4987	179	34	=	=	SYM
ejpam-4987	179	35	s2	s2	PROPN
ejpam-4987	179	36	n0	n0	NOUN
ejpam-4987	179	37	,	,	PUNCT
ejpam-4987	179	38	s3	s3	PROPN
ejpam-4987	179	39	=	=	PROPN
ejpam-4987	179	40	s3	s3	PROPN
ejpam-4987	179	41	n0	n0	NOUN
ejpam-4987	179	42	,	,	PUNCT
ejpam-4987	179	43	ei	ei	X
ejpam-4987	179	44	=	=	PUNCT
ejpam-4987	179	45	ei	ei	X
ejpam-4987	179	46	n0	n0	X
ejpam-4987	179	47	,	,	PUNCT
ejpam-4987	179	48	ec	ec	PROPN
ejpam-4987	179	49	=	=	SYM
ejpam-4987	179	50	ec	ec	PROPN
ejpam-4987	179	51	n0	n0	X
ejpam-4987	179	52	,	,	PUNCT
ejpam-4987	179	53	i	i	PRON
ejpam-4987	179	54	=	=	VERB
ejpam-4987	180	1	i	i	PROPN
ejpam-4987	180	2	n0	n0	X
ejpam-4987	180	3	,	,	PUNCT
ejpam-4987	180	4	c	c	X
ejpam-4987	180	5	=	=	SYM
ejpam-4987	180	6	c	c	PROPN
ejpam-4987	180	7	n0	n0	X
ejpam-4987	180	8	,	,	PUNCT
ejpam-4987	180	9	r	r	NOUN
ejpam-4987	180	10	=	=	SYM
ejpam-4987	180	11	r	r	NOUN
ejpam-4987	180	12	n0	n0	NOUN
ejpam-4987	180	13	,	,	PUNCT
ejpam-4987	180	14	λ	λ	X
ejpam-4987	180	15	=	=	SYM
ejpam-4987	180	16	λ	λ	X
ejpam-4987	180	17	n0	n0	X
ejpam-4987	180	18	,	,	PUNCT
ejpam-4987	180	19	bi	bi	PROPN
ejpam-4987	180	20	,	,	PUNCT
ejpam-4987	180	21	j	j	PROPN
ejpam-4987	180	22	=	=	SYM
ejpam-4987	180	23	βi	βi	PROPN
ejpam-4987	180	24	,	,	PUNCT
ejpam-4987	180	25	jn0	jn0	PROPN
ejpam-4987	180	26	,	,	PUNCT
ejpam-4987	180	27	i	i	PRON
ejpam-4987	180	28	=	=	NOUN
ejpam-4987	180	29	1	1	NUM
ejpam-4987	180	30	,	,	PUNCT
ejpam-4987	180	31	...	...	PUNCT
ejpam-4987	180	32	,	,	PUNCT
ejpam-4987	180	33	3	3	NUM
ejpam-4987	180	34	;	;	PUNCT
ejpam-4987	180	35	j	j	PROPN
ejpam-4987	180	36	=	=	SYM
ejpam-4987	180	37	1	1	NUM
ejpam-4987	180	38	,	,	PUNCT
ejpam-4987	180	39	...	...	PUNCT
ejpam-4987	180	40	,	,	PUNCT
ejpam-4987	180	41	4	4	NUM
ejpam-4987	180	42	where	where	SCONJ
ejpam-4987	180	43	n0	n0	PROPN
ejpam-4987	180	44	=	=	SYM
ejpam-4987	180	45	n(0	n(0	PROPN
ejpam-4987	180	46	)	)	PUNCT
ejpam-4987	180	47	is	be	AUX
ejpam-4987	180	48	the	the	DET
ejpam-4987	180	49	total	total	ADJ
ejpam-4987	180	50	number	number	NOUN
ejpam-4987	180	51	of	of	ADP
ejpam-4987	180	52	the	the	DET
ejpam-4987	180	53	initial	initial	ADJ
ejpam-4987	180	54	population	population	NOUN
ejpam-4987	180	55	.	.	PUNCT
ejpam-4987	181	1	finally	finally	ADV
ejpam-4987	181	2	the	the	DET
ejpam-4987	181	3	normalized	normalized	ADJ
ejpam-4987	181	4	model	model	NOUN
ejpam-4987	181	5	becomes	become	VERB
ejpam-4987	181	6	:	:	PUNCT
ejpam-4987	181	7			X
ejpam-4987	181	8	ds1	ds1	X
ejpam-4987	181	9	dt	dt	X
ejpam-4987	182	1	=	=	PUNCT
ejpam-4987	182	2	λ−	λ−	PROPN
ejpam-4987	182	3	iλi	iλi	NOUN
ejpam-4987	182	4	−	−	NOUN
ejpam-4987	182	5	cλc	cλc	NOUN
ejpam-4987	182	6	−	−	PROPN
ejpam-4987	182	7	(	(	PUNCT
ejpam-4987	182	8	µ+	µ+	X
ejpam-4987	182	9	p1)s1	p1)s1	NOUN
ejpam-4987	182	10	−	−	PROPN
ejpam-4987	182	11	b1,1eis1	b1,1eis1	NOUN
ejpam-4987	182	12	−	−	PROPN
ejpam-4987	182	13	b1,2ecs1	b1,2ecs1	ADV
ejpam-4987	182	14	−	−	PROPN
ejpam-4987	182	15	b1,3is1	b1,3is1	VERB
ejpam-4987	182	16	−	−	NOUN
ejpam-4987	182	17	b1,4cs1	b1,4cs1	NOUN
ejpam-4987	182	18	ds2	ds2	ADJ
ejpam-4987	182	19	dt	dt	PROPN
ejpam-4987	183	1	=	=	PUNCT
ejpam-4987	183	2	p1s1	p1s1	ADJ
ejpam-4987	183	3	−	−	PROPN
ejpam-4987	183	4	(	(	PUNCT
ejpam-4987	183	5	µ+	µ+	X
ejpam-4987	183	6	p2)s2	p2)s2	ADJ
ejpam-4987	183	7	−	−	PROPN
ejpam-4987	183	8	b2,1eis2	b2,1eis2	NOUN
ejpam-4987	183	9	−	−	NOUN
ejpam-4987	183	10	b2,2ecs2	b2,2ecs2	PROPN
ejpam-4987	183	11	−	−	PROPN
ejpam-4987	183	12	b2,3is2	b2,3is2	PROPN
ejpam-4987	183	13	−	−	NOUN
ejpam-4987	183	14	b2,4cs2	b2,4cs2	ADP
ejpam-4987	183	15	ds3	ds3	PROPN
ejpam-4987	183	16	dt	dt	PROPN
ejpam-4987	184	1	=	=	SYM
ejpam-4987	184	2	p2s2	p2s2	PROPN
ejpam-4987	184	3	−	−	PROPN
ejpam-4987	184	4	µs3	µs3	NOUN
ejpam-4987	184	5	−	−	NOUN
ejpam-4987	184	6	b3,1eis3	b3,1eis3	PRON
ejpam-4987	185	1	−	−	PROPN
ejpam-4987	185	2	b3,2ecs3	b3,2ecs3	NOUN
ejpam-4987	185	3	−	−	NOUN
ejpam-4987	185	4	b3,3is3	b3,3is3	X
ejpam-4987	185	5	−	−	PROPN
ejpam-4987	185	6	b3,4cs3	b3,4cs3	PROPN
ejpam-4987	185	7	dei	dei	NOUN
ejpam-4987	185	8	dt	dt	NOUN
ejpam-4987	185	9	=	=	SYM
ejpam-4987	185	10	α1s1(b1,1ei	α1s1(b1,1ei	PROPN
ejpam-4987	185	11	+	+	CCONJ
ejpam-4987	185	12	b1,2ec	b1,2ec	PROPN
ejpam-4987	185	13	+	+	CCONJ
ejpam-4987	185	14	b1,3i+	b1,3i+	PROPN
ejpam-4987	185	15	b1,4c	b1,4c	PROPN
ejpam-4987	185	16	)	)	PUNCT
ejpam-4987	186	1	+	+	CCONJ
ejpam-4987	186	2	α2s2(b2,1ei	α2s2(b2,1ei	PROPN
ejpam-4987	187	1	+	+	CCONJ
ejpam-4987	187	2	b2,2ec	b2,2ec	NOUN
ejpam-4987	187	3	+	+	CCONJ
ejpam-4987	187	4	b2,3i+	b2,3i+	PROPN
ejpam-4987	187	5	b2,4c	b2,4c	PROPN
ejpam-4987	187	6	)	)	PUNCT
ejpam-4987	187	7	+	+	PROPN
ejpam-4987	187	8	α3s3(b3,1ei	α3s3(b3,1ei	PROPN
ejpam-4987	187	9	+	+	SYM
ejpam-4987	187	10	b3,2ec	b3,2ec	PROPN
ejpam-4987	187	11	+	+	CCONJ
ejpam-4987	187	12	b3,3i+	b3,3i+	PROPN
ejpam-4987	187	13	b3,4c)−	b3,4c)−	PROPN
ejpam-4987	187	14	µei	µei	PROPN
ejpam-4987	187	15	−	−	PROPN
ejpam-4987	187	16	δ1ei	δ1ei	X
ejpam-4987	188	1	+	+	NUM
ejpam-4987	188	2	iλi	iλi	PROPN
ejpam-4987	188	3	dec	dec	PROPN
ejpam-4987	188	4	dt	dt	PROPN
ejpam-4987	189	1	=	=	PUNCT
ejpam-4987	189	2	(	(	PUNCT
ejpam-4987	189	3	1−	1−	NUM
ejpam-4987	189	4	α1)s1(b1,1ei	α1)s1(b1,1ei	NUM
ejpam-4987	189	5	+	+	CCONJ
ejpam-4987	189	6	b1,2ec	b1,2ec	PROPN
ejpam-4987	189	7	+	+	CCONJ
ejpam-4987	189	8	b1,3i+	b1,3i+	PROPN
ejpam-4987	189	9	b1,4c	b1,4c	PROPN
ejpam-4987	189	10	)	)	PUNCT
ejpam-4987	190	1	+	+	CCONJ
ejpam-4987	190	2	(	(	PUNCT
ejpam-4987	190	3	1−	1−	NUM
ejpam-4987	190	4	α2)s2(b2,1ei	α2)s2(b2,1ei	ADV
ejpam-4987	190	5	+	+	CCONJ
ejpam-4987	190	6	b2,2ec	b2,2ec	PROPN
ejpam-4987	190	7	+	+	CCONJ
ejpam-4987	190	8	b2,3i+	b2,3i+	PROPN
ejpam-4987	190	9	b2,4c	b2,4c	PROPN
ejpam-4987	190	10	)	)	PUNCT
ejpam-4987	191	1	+	+	PROPN
ejpam-4987	191	2	(	(	PUNCT
ejpam-4987	191	3	1−	1−	NUM
ejpam-4987	191	4	α3)s3(b3,1ei	α3)s3(b3,1ei	NUM
ejpam-4987	191	5	+	+	NUM
ejpam-4987	191	6	b3,2ec	b3,2ec	NOUN
ejpam-4987	191	7	+	+	NUM
ejpam-4987	191	8	b3,3i+	b3,3i+	PUNCT
ejpam-4987	191	9	b3,4c	b3,4c	PROPN
ejpam-4987	191	10	)	)	PUNCT
ejpam-4987	191	11	+	+	NUM
ejpam-4987	191	12	cλc	cλc	NOUN
ejpam-4987	191	13	−	−	PROPN
ejpam-4987	191	14	µec	µec	NOUN
ejpam-4987	191	15	−	−	PROPN
ejpam-4987	191	16	δ2ec	δ2ec	X
ejpam-4987	191	17	di	di	X
ejpam-4987	191	18	dt	dt	NOUN
ejpam-4987	191	19	=	=	PUNCT
ejpam-4987	191	20	δ1ei	δ1ei	X
ejpam-4987	191	21	−	−	PUNCT
ejpam-4987	191	22	µi−	µi−	PUNCT
ejpam-4987	191	23	γii−	γii−	PROPN
ejpam-4987	191	24	µii	µii	NOUN
ejpam-4987	191	25	dc	dc	PROPN
ejpam-4987	191	26	dt	dt	NOUN
ejpam-4987	191	27	=	=	SYM
ejpam-4987	191	28	δ2ec	δ2ec	X
ejpam-4987	191	29	−	−	PROPN
ejpam-4987	191	30	µc−	µc−	PUNCT
ejpam-4987	191	31	γcc−	γcc−	PROPN
ejpam-4987	191	32	µcc	µcc	PROPN
ejpam-4987	192	1	dr	dr	PROPN
ejpam-4987	192	2	dt	dt	PROPN
ejpam-4987	192	3	=	=	PUNCT
ejpam-4987	193	1	γii+	γii+	PROPN
ejpam-4987	193	2	γcc−	γcc−	PROPN
ejpam-4987	193	3	µr	µr	ADP
ejpam-4987	193	4	(	(	PUNCT
ejpam-4987	193	5	3	3	NUM
ejpam-4987	193	6	)	)	PUNCT
ejpam-4987	193	7	in	in	ADP
ejpam-4987	193	8	the	the	DET
ejpam-4987	193	9	following	following	NOUN
ejpam-4987	193	10	,	,	PUNCT
ejpam-4987	193	11	the	the	DET
ejpam-4987	193	12	positivity	positivity	NOUN
ejpam-4987	193	13	and	and	CCONJ
ejpam-4987	193	14	existence	existence	NOUN
ejpam-4987	193	15	of	of	ADP
ejpam-4987	193	16	solutions	solution	NOUN
ejpam-4987	193	17	for	for	ADP
ejpam-4987	193	18	the	the	DET
ejpam-4987	193	19	normalized	normalize	VERB
ejpam-4987	193	20	system	system	NOUN
ejpam-4987	193	21	(	(	PUNCT
ejpam-4987	193	22	3	3	X
ejpam-4987	193	23	)	)	PUNCT
ejpam-4987	193	24	is	be	AUX
ejpam-4987	193	25	given	give	VERB
ejpam-4987	193	26	.	.	PUNCT
ejpam-4987	194	1	3.2	3.2	NUM
ejpam-4987	194	2	.	.	PUNCT
ejpam-4987	194	3	positivity	positivity	NOUN
ejpam-4987	194	4	,	,	PUNCT
ejpam-4987	194	5	boundedness	boundedness	NOUN
ejpam-4987	194	6	and	and	CCONJ
ejpam-4987	194	7	global	global	ADJ
ejpam-4987	194	8	existence	existence	NOUN
ejpam-4987	194	9	of	of	ADP
ejpam-4987	194	10	solutions	solution	NOUN
ejpam-4987	194	11	theorem	theorem	VERB
ejpam-4987	194	12	1	1	X
ejpam-4987	194	13	.	.	PUNCT
ejpam-4987	195	1	let	let	VERB
ejpam-4987	196	1	the	the	DET
ejpam-4987	196	2	initial	initial	ADJ
ejpam-4987	196	3	value	value	NOUN
ejpam-4987	196	4	(	(	PUNCT
ejpam-4987	196	5	s1,0	s1,0	PROPN
ejpam-4987	196	6	,	,	PUNCT
ejpam-4987	196	7	s2,0	s2,0	PROPN
ejpam-4987	196	8	,	,	PUNCT
ejpam-4987	196	9	s3,0	s3,0	PROPN
ejpam-4987	196	10	,	,	PUNCT
ejpam-4987	196	11	ei,0	ei,0	PROPN
ejpam-4987	196	12	,	,	PUNCT
ejpam-4987	196	13	ec,0	ec,0	PROPN
ejpam-4987	196	14	,	,	PUNCT
ejpam-4987	196	15	i0	i0	PROPN
ejpam-4987	196	16	,	,	PUNCT
ejpam-4987	196	17	c0	c0	NOUN
ejpam-4987	196	18	,	,	PUNCT
ejpam-4987	196	19	r0	r0	NOUN
ejpam-4987	196	20	)	)	PUNCT
ejpam-4987	196	21	∈	∈	PROPN
ejpam-4987	196	22	r8	r8	PROPN
ejpam-4987	196	23	+	+	NOUN
ejpam-4987	196	24	,	,	PUNCT
ejpam-4987	196	25	such	such	ADJ
ejpam-4987	196	26	that	that	SCONJ
ejpam-4987	196	27	s1,0	s1,0	PROPN
ejpam-4987	196	28	+	+	CCONJ
ejpam-4987	196	29	s2,0	s2,0	X
ejpam-4987	197	1	+	+	CCONJ
ejpam-4987	197	2	s3,0	s3,0	PROPN
ejpam-4987	198	1	+	+	CCONJ
ejpam-4987	198	2	ei,0	ei,0	PROPN
ejpam-4987	198	3	+	+	CCONJ
ejpam-4987	198	4	ec,0	ec,0	PROPN
ejpam-4987	198	5	+	+	CCONJ
ejpam-4987	198	6	i0	i0	PROPN
ejpam-4987	198	7	+	+	CCONJ
ejpam-4987	198	8	c0	c0	PROPN
ejpam-4987	198	9	+	+	CCONJ
ejpam-4987	198	10	r0	r0	NOUN
ejpam-4987	198	11	=	=	SYM
ejpam-4987	198	12	1	1	NUM
ejpam-4987	198	13	,	,	PUNCT
ejpam-4987	198	14	and	and	CCONJ
ejpam-4987	198	15	0	0	NUM
ejpam-4987	198	16	≤	≤	NUM
ejpam-4987	198	17	λ	λ	PROPN
ejpam-4987	198	18	,	,	PUNCT
ejpam-4987	198	19	λi	λi	ADP
ejpam-4987	198	20	,	,	PUNCT
ejpam-4987	198	21	λc	λc	NOUN
ejpam-4987	198	22	,	,	PUNCT
ejpam-4987	198	23	µ	µ	NOUN
ejpam-4987	198	24	,	,	PUNCT
ejpam-4987	198	25	p1	p1	NOUN
ejpam-4987	198	26	,	,	PUNCT
ejpam-4987	198	27	p2	p2	NOUN
ejpam-4987	198	28	,	,	PUNCT
ejpam-4987	198	29	µi	µi	PROPN
ejpam-4987	198	30	,	,	PUNCT
ejpam-4987	198	31	µc	µc	PROPN
ejpam-4987	198	32	,	,	PUNCT
ejpam-4987	198	33	δ1	δ1	NOUN
ejpam-4987	198	34	,	,	PUNCT
ejpam-4987	198	35	δ2	δ2	PROPN
ejpam-4987	198	36	,	,	PUNCT
ejpam-4987	198	37	γi	γi	INTJ
ejpam-4987	198	38	,	,	PUNCT
ejpam-4987	198	39	γc	γc	PROPN
ejpam-4987	198	40	≤	≤	NUM
ejpam-4987	198	41	1	1	NUM
ejpam-4987	198	42	0	0	NUM
ejpam-4987	198	43	≤	≤	NOUN
ejpam-4987	198	44	b1,i	b1,i	PROPN
ejpam-4987	198	45	,	,	PUNCT
ejpam-4987	198	46	b2,i	b2,i	PROPN
ejpam-4987	198	47	,	,	PUNCT
ejpam-4987	198	48	b3,i	b3,i	PROPN
ejpam-4987	198	49	≤	≤	ADV
ejpam-4987	198	50	1	1	NUM
ejpam-4987	198	51	for	for	ADP
ejpam-4987	198	52	all	all	DET
ejpam-4987	198	53	1	1	NUM
ejpam-4987	198	54	≤	≤	NUM
ejpam-4987	198	55	i	i	PRON
ejpam-4987	198	56	≤	≤	NOUN
ejpam-4987	198	57	4	4	NUM
ejpam-4987	198	58	,	,	PUNCT
ejpam-4987	198	59	then	then	ADV
ejpam-4987	198	60	there	there	PRON
ejpam-4987	198	61	exists	exist	VERB
ejpam-4987	198	62	a	a	DET
ejpam-4987	198	63	unique	unique	ADJ
ejpam-4987	198	64	,	,	PUNCT
ejpam-4987	198	65	nonnegative	nonnegative	ADJ
ejpam-4987	198	66	,	,	PUNCT
ejpam-4987	198	67	bounded	bounded	ADJ
ejpam-4987	198	68	global	global	ADJ
ejpam-4987	198	69	solution	solution	NOUN
ejpam-4987	198	70	to	to	ADP
ejpam-4987	198	71	system	system	NOUN
ejpam-4987	198	72	(	(	PUNCT
ejpam-4987	198	73	3	3	NUM
ejpam-4987	198	74	)	)	PUNCT
ejpam-4987	198	75	.	.	PUNCT
ejpam-4987	199	1	moreover	moreover	ADV
ejpam-4987	199	2	for	for	ADP
ejpam-4987	199	3	all	all	DET
ejpam-4987	199	4	t	t	PROPN
ejpam-4987	199	5	≥	≥	NOUN
ejpam-4987	199	6	0	0	NUM
ejpam-4987	199	7	w.-o	w.-o	NOUN
ejpam-4987	199	8	sawadogo	sawadogo	VERB
ejpam-4987	199	9	et	et	PROPN
ejpam-4987	199	10	al	al	PROPN
ejpam-4987	199	11	.	.	PUNCT
ejpam-4987	199	12	/	/	SYM
ejpam-4987	199	13	eur	eur	PROPN
ejpam-4987	199	14	.	.	PUNCT
ejpam-4987	200	1	j.	j.	PROPN
ejpam-4987	200	2	pure	pure	PROPN
ejpam-4987	200	3	appl	appl	PROPN
ejpam-4987	200	4	.	.	PROPN
ejpam-4987	200	5	math	math	PROPN
ejpam-4987	200	6	,	,	PUNCT
ejpam-4987	200	7	17	17	NUM
ejpam-4987	200	8	(	(	PUNCT
ejpam-4987	200	9	1	1	NUM
ejpam-4987	200	10	)	)	PUNCT
ejpam-4987	200	11	(	(	PUNCT
ejpam-4987	200	12	2024	2024	NUM
ejpam-4987	200	13	)	)	PUNCT
ejpam-4987	200	14	,	,	PUNCT
ejpam-4987	200	15	59	59	NUM
ejpam-4987	200	16	-	-	SYM
ejpam-4987	200	17	92	92	NUM
ejpam-4987	200	18	69	69	NUM
ejpam-4987	200	19	i	i	NOUN
ejpam-4987	200	20	)	)	PUNCT
ejpam-4987	200	21	0	0	NUM
ejpam-4987	201	1	≤	≤	PROPN
ejpam-4987	201	2	n(t	n(t	PROPN
ejpam-4987	201	3	)	)	PUNCT
ejpam-4987	201	4	≤	≤	PUNCT
ejpam-4987	202	1	λ	λ	PROPN
ejpam-4987	202	2	µ	µ	X
ejpam-4987	202	3	+	+	CCONJ
ejpam-4987	202	4	1	1	NUM
ejpam-4987	202	5	(	(	PUNCT
ejpam-4987	202	6	4	4	NUM
ejpam-4987	202	7	)	)	PUNCT
ejpam-4987	202	8	where	where	SCONJ
ejpam-4987	202	9	n(t	n(t	NOUN
ejpam-4987	202	10	)	)	PUNCT
ejpam-4987	202	11	=	=	PUNCT
ejpam-4987	202	12	s1(t	s1(t	X
ejpam-4987	202	13	)	)	PUNCT
ejpam-4987	202	14	+	+	X
ejpam-4987	202	15	s2(t	s2(t	X
ejpam-4987	202	16	)	)	PUNCT
ejpam-4987	202	17	+	+	X
ejpam-4987	202	18	s3(t	s3(t	VERB
ejpam-4987	202	19	)	)	PUNCT
ejpam-4987	202	20	+	+	NUM
ejpam-4987	202	21	ei(t	ei(t	X
ejpam-4987	202	22	)	)	PUNCT
ejpam-4987	202	23	+	+	NOUN
ejpam-4987	202	24	ec(t	ec(t	NOUN
ejpam-4987	202	25	)	)	PUNCT
ejpam-4987	203	1	+	+	CCONJ
ejpam-4987	203	2	i(t	i(t	NOUN
ejpam-4987	203	3	)	)	PUNCT
ejpam-4987	204	1	+	+	SYM
ejpam-4987	205	1	c(t	c(t	PROPN
ejpam-4987	205	2	)	)	PUNCT
ejpam-4987	205	3	+	+	NUM
ejpam-4987	205	4	r(t	r(t	NOUN
ejpam-4987	205	5	)	)	PUNCT
ejpam-4987	205	6	ii	ii	PROPN
ejpam-4987	205	7	)	)	PUNCT
ejpam-4987	205	8	moreover	moreover	ADV
ejpam-4987	205	9	,	,	PUNCT
ejpam-4987	205	10	if	if	SCONJ
ejpam-4987	205	11	s1,0	s1,0	PROPN
ejpam-4987	205	12	≤	≤	PROPN
ejpam-4987	205	13	λ	λ	PROPN
ejpam-4987	205	14	µ+	µ+	X
ejpam-4987	205	15	p1	p1	PROPN
ejpam-4987	205	16	,	,	PUNCT
ejpam-4987	205	17	s2,0	s2,0	NOUN
ejpam-4987	205	18	≤	≤	ADJ
ejpam-4987	205	19	p1λ	p1λ	PROPN
ejpam-4987	205	20	(	(	PUNCT
ejpam-4987	205	21	µ+	µ+	X
ejpam-4987	205	22	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	205	23	p2	p2	NOUN
ejpam-4987	205	24	)	)	PUNCT
ejpam-4987	205	25	and	and	CCONJ
ejpam-4987	205	26	s3,0	s3,0	NUM
ejpam-4987	205	27	≤	≤	NOUN
ejpam-4987	205	28	p1p2λ	p1p2λ	NUM
ejpam-4987	205	29	µ(µ+	µ(µ+	NOUN
ejpam-4987	205	30	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	205	31	p2	p2	NOUN
ejpam-4987	205	32	)	)	PUNCT
ejpam-4987	205	33	then	then	ADV
ejpam-4987	205	34	s1(t	s1(t	X
ejpam-4987	205	35	)	)	PUNCT
ejpam-4987	205	36	≤	≤	NUM
ejpam-4987	205	37	λ	λ	PROPN
ejpam-4987	205	38	µ+	µ+	X
ejpam-4987	205	39	p1	p1	PROPN
ejpam-4987	205	40	,	,	PUNCT
ejpam-4987	205	41	s2(t	s2(t	PROPN
ejpam-4987	205	42	)	)	PUNCT
ejpam-4987	205	43	≤	≤	ADJ
ejpam-4987	205	44	p1λ	p1λ	NOUN
ejpam-4987	205	45	(	(	PUNCT
ejpam-4987	205	46	µ+	µ+	X
ejpam-4987	205	47	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	205	48	p2	p2	NOUN
ejpam-4987	205	49	)	)	PUNCT
ejpam-4987	205	50	,	,	PUNCT
ejpam-4987	205	51	s3(t	s3(t	PROPN
ejpam-4987	205	52	)	)	PUNCT
ejpam-4987	205	53	≤	≤	NOUN
ejpam-4987	205	54	p1p2λ	p1p2λ	NUM
ejpam-4987	205	55	µ(µ+	µ(µ+	NOUN
ejpam-4987	205	56	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	205	57	p2	p2	NOUN
ejpam-4987	205	58	)	)	PUNCT
ejpam-4987	205	59	.	.	PUNCT
ejpam-4987	206	1	proof	proof	NOUN
ejpam-4987	206	2	.	.	PUNCT
ejpam-4987	207	1	i	i	PRON
ejpam-4987	207	2	)	)	PUNCT
ejpam-4987	207	3	for	for	ADP
ejpam-4987	207	4	the	the	DET
ejpam-4987	207	5	local	local	ADJ
ejpam-4987	207	6	existence	existence	NOUN
ejpam-4987	207	7	,	,	PUNCT
ejpam-4987	207	8	all	all	DET
ejpam-4987	207	9	the	the	DET
ejpam-4987	207	10	functions	function	NOUN
ejpam-4987	207	11	of	of	ADP
ejpam-4987	207	12	system	system	NOUN
ejpam-4987	207	13	(	(	PUNCT
ejpam-4987	207	14	3	3	X
ejpam-4987	207	15	)	)	PUNCT
ejpam-4987	207	16	are	be	AUX
ejpam-4987	207	17	locally	locally	ADV
ejpam-4987	207	18	lipschitz	lipschitz	ADJ
ejpam-4987	207	19	continuous	continuous	ADJ
ejpam-4987	207	20	.	.	PUNCT
ejpam-4987	208	1	thus	thus	ADV
ejpam-4987	208	2	,	,	PUNCT
ejpam-4987	208	3	there	there	PRON
ejpam-4987	208	4	exists	exist	VERB
ejpam-4987	208	5	a	a	DET
ejpam-4987	208	6	unique	unique	ADJ
ejpam-4987	208	7	local	local	ADJ
ejpam-4987	208	8	solution	solution	NOUN
ejpam-4987	208	9	on	on	ADP
ejpam-4987	208	10	t	t	PROPN
ejpam-4987	208	11	∈	∈	PROPN
ejpam-4987	209	1	[	[	X
ejpam-4987	209	2	0	0	NUM
ejpam-4987	209	3	,	,	PUNCT
ejpam-4987	209	4	tmax	tmax	PRON
ejpam-4987	209	5	)	)	PUNCT
ejpam-4987	209	6	,	,	PUNCT
ejpam-4987	209	7	where	where	SCONJ
ejpam-4987	209	8	tmax	tmax	ADV
ejpam-4987	209	9	is	be	AUX
ejpam-4987	209	10	the	the	DET
ejpam-4987	209	11	explosion	explosion	NOUN
ejpam-4987	209	12	time	time	NOUN
ejpam-4987	209	13	.	.	PUNCT
ejpam-4987	210	1	the	the	DET
ejpam-4987	210	2	analysis	analysis	NOUN
ejpam-4987	210	3	of	of	ADP
ejpam-4987	210	4	this	this	DET
ejpam-4987	210	5	kind	kind	NOUN
ejpam-4987	210	6	of	of	ADP
ejpam-4987	210	7	system	system	NOUN
ejpam-4987	210	8	is	be	AUX
ejpam-4987	210	9	based	base	VERB
ejpam-4987	210	10	on	on	ADP
ejpam-4987	210	11	elementary	elementary	ADJ
ejpam-4987	210	12	methods	method	NOUN
ejpam-4987	210	13	of	of	ADP
ejpam-4987	210	14	ordinary	ordinary	ADJ
ejpam-4987	210	15	differential	differential	ADJ
ejpam-4987	210	16	equations	equation	NOUN
ejpam-4987	210	17	.	.	PUNCT
ejpam-4987	211	1	the	the	DET
ejpam-4987	211	2	existence	existence	NOUN
ejpam-4987	211	3	of	of	ADP
ejpam-4987	211	4	unique	unique	ADJ
ejpam-4987	211	5	solutions	solution	NOUN
ejpam-4987	211	6	is	be	AUX
ejpam-4987	211	7	guaranteed	guarantee	VERB
ejpam-4987	211	8	by	by	ADP
ejpam-4987	211	9	various	various	ADJ
ejpam-4987	211	10	fixed	fix	VERB
ejpam-4987	211	11	point	point	NOUN
ejpam-4987	211	12	theorems	theorem	NOUN
ejpam-4987	211	13	on	on	ADP
ejpam-4987	211	14	a	a	DET
ejpam-4987	211	15	maximal	maximal	ADJ
ejpam-4987	211	16	interval	interval	NOUN
ejpam-4987	211	17	[	[	X
ejpam-4987	211	18	0	0	NUM
ejpam-4987	211	19	,	,	PUNCT
ejpam-4987	211	20	tmax	tmax	NUM
ejpam-4987	211	21	)	)	PUNCT
ejpam-4987	211	22	.	.	PUNCT
ejpam-4987	212	1	by	by	ADP
ejpam-4987	212	2	proving	prove	VERB
ejpam-4987	212	3	that	that	SCONJ
ejpam-4987	212	4	the	the	DET
ejpam-4987	212	5	components	component	NOUN
ejpam-4987	212	6	of	of	ADP
ejpam-4987	212	7	the	the	DET
ejpam-4987	212	8	solution	solution	NOUN
ejpam-4987	212	9	vector	vector	NOUN
ejpam-4987	212	10	(	(	PUNCT
ejpam-4987	212	11	s1(t	s1(t	PROPN
ejpam-4987	212	12	)	)	PUNCT
ejpam-4987	212	13	,	,	PUNCT
ejpam-4987	212	14	s2(t	s2(t	PROPN
ejpam-4987	212	15	)	)	PUNCT
ejpam-4987	212	16	,	,	PUNCT
ejpam-4987	212	17	s3(t	s3(t	NUM
ejpam-4987	212	18	)	)	PUNCT
ejpam-4987	212	19	,	,	PUNCT
ejpam-4987	212	20	ei(t	ei(t	NUM
ejpam-4987	212	21	)	)	PUNCT
ejpam-4987	212	22	,	,	PUNCT
ejpam-4987	212	23	ec(t	ec(t	NOUN
ejpam-4987	212	24	)	)	PUNCT
ejpam-4987	212	25	,	,	PUNCT
ejpam-4987	212	26	i(t	i(t	PROPN
ejpam-4987	212	27	)	)	PUNCT
ejpam-4987	212	28	,	,	PUNCT
ejpam-4987	212	29	c(t	c(t	PROPN
ejpam-4987	212	30	)	)	PUNCT
ejpam-4987	212	31	,	,	PUNCT
ejpam-4987	212	32	r(t	r(t	NOUN
ejpam-4987	212	33	)	)	PUNCT
ejpam-4987	212	34	)	)	PUNCT
ejpam-4987	212	35	are	be	AUX
ejpam-4987	212	36	uniformly	uniformly	ADV
ejpam-4987	212	37	bounded	bound	VERB
ejpam-4987	212	38	on	on	ADP
ejpam-4987	212	39	any	any	DET
ejpam-4987	212	40	bounded	bounded	ADJ
ejpam-4987	212	41	interval	interval	NOUN
ejpam-4987	212	42	[	[	X
ejpam-4987	212	43	0	0	NUM
ejpam-4987	212	44	,	,	PUNCT
ejpam-4987	212	45	tmax	tmax	NUM
ejpam-4987	212	46	)	)	PUNCT
ejpam-4987	212	47	,	,	PUNCT
ejpam-4987	212	48	one	one	PRON
ejpam-4987	212	49	ensures	ensure	VERB
ejpam-4987	212	50	that	that	SCONJ
ejpam-4987	212	51	tmax	tmax	ADV
ejpam-4987	212	52	=	=	SYM
ejpam-4987	212	53	∞.	∞.	PROPN
ejpam-4987	212	54	we	we	PRON
ejpam-4987	212	55	remark	remark	VERB
ejpam-4987	212	56	that	that	SCONJ
ejpam-4987	212	57	the	the	DET
ejpam-4987	212	58	components	component	NOUN
ejpam-4987	212	59	of	of	ADP
ejpam-4987	212	60	the	the	DET
ejpam-4987	212	61	vector	vector	NOUN
ejpam-4987	212	62	f	f	PROPN
ejpam-4987	212	63	(	(	PUNCT
ejpam-4987	212	64	s1	s1	PROPN
ejpam-4987	212	65	,	,	PUNCT
ejpam-4987	212	66	s2	s2	PROPN
ejpam-4987	212	67	,	,	PUNCT
ejpam-4987	212	68	s3	s3	PROPN
ejpam-4987	212	69	,	,	PUNCT
ejpam-4987	212	70	ei	ei	PROPN
ejpam-4987	212	71	,	,	PUNCT
ejpam-4987	212	72	ec	ec	PROPN
ejpam-4987	212	73	,	,	PUNCT
ejpam-4987	212	74	i	i	PRON
ejpam-4987	212	75	,	,	PUNCT
ejpam-4987	212	76	c	c	X
ejpam-4987	212	77	,	,	PUNCT
ejpam-4987	212	78	r	r	NOUN
ejpam-4987	212	79	)	)	PUNCT
ejpam-4987	212	80	=	=	SYM
ejpam-4987	212	81			NOUN
ejpam-4987	212	82	f1(s1	f1(s1	PROPN
ejpam-4987	212	83	,	,	PUNCT
ejpam-4987	212	84	s2	s2	PROPN
ejpam-4987	212	85	,	,	PUNCT
ejpam-4987	212	86	s3	s3	PROPN
ejpam-4987	212	87	,	,	PUNCT
ejpam-4987	212	88	ei	ei	PROPN
ejpam-4987	212	89	,	,	PUNCT
ejpam-4987	212	90	ec	ec	PROPN
ejpam-4987	212	91	,	,	PUNCT
ejpam-4987	212	92	i	i	PRON
ejpam-4987	212	93	,	,	PUNCT
ejpam-4987	212	94	c	c	X
ejpam-4987	212	95	,	,	PUNCT
ejpam-4987	212	96	r	r	NOUN
ejpam-4987	212	97	)	)	PUNCT
ejpam-4987	212	98	f2(s1	f2(s1	NOUN
ejpam-4987	212	99	,	,	PUNCT
ejpam-4987	212	100	s2	s2	PROPN
ejpam-4987	212	101	,	,	PUNCT
ejpam-4987	212	102	s3	s3	PROPN
ejpam-4987	212	103	,	,	PUNCT
ejpam-4987	212	104	ei	ei	PROPN
ejpam-4987	212	105	,	,	PUNCT
ejpam-4987	212	106	ec	ec	PROPN
ejpam-4987	212	107	,	,	PUNCT
ejpam-4987	212	108	i	i	PRON
ejpam-4987	212	109	,	,	PUNCT
ejpam-4987	212	110	c	c	X
ejpam-4987	212	111	,	,	PUNCT
ejpam-4987	212	112	r	r	NOUN
ejpam-4987	212	113	)	)	PUNCT
ejpam-4987	212	114	f3(s1	f3(s1	PROPN
ejpam-4987	212	115	,	,	PUNCT
ejpam-4987	212	116	s2	s2	PROPN
ejpam-4987	212	117	,	,	PUNCT
ejpam-4987	212	118	s3	s3	PROPN
ejpam-4987	212	119	,	,	PUNCT
ejpam-4987	212	120	ei	ei	PROPN
ejpam-4987	212	121	,	,	PUNCT
ejpam-4987	212	122	ec	ec	PROPN
ejpam-4987	212	123	,	,	PUNCT
ejpam-4987	212	124	i	i	PRON
ejpam-4987	212	125	,	,	PUNCT
ejpam-4987	212	126	c	c	X
ejpam-4987	212	127	,	,	PUNCT
ejpam-4987	212	128	r	r	NOUN
ejpam-4987	212	129	)	)	PUNCT
ejpam-4987	212	130	f4(s1	f4(s1	PROPN
ejpam-4987	212	131	,	,	PUNCT
ejpam-4987	212	132	s2	s2	PROPN
ejpam-4987	212	133	,	,	PUNCT
ejpam-4987	212	134	s3	s3	PROPN
ejpam-4987	212	135	,	,	PUNCT
ejpam-4987	212	136	ei	ei	PROPN
ejpam-4987	212	137	,	,	PUNCT
ejpam-4987	212	138	ec	ec	PROPN
ejpam-4987	212	139	,	,	PUNCT
ejpam-4987	212	140	i	i	PRON
ejpam-4987	212	141	,	,	PUNCT
ejpam-4987	212	142	c	c	X
ejpam-4987	212	143	,	,	PUNCT
ejpam-4987	212	144	r	r	NOUN
ejpam-4987	212	145	)	)	PUNCT
ejpam-4987	212	146	f5(s1	f5(s1	ADJ
ejpam-4987	212	147	,	,	PUNCT
ejpam-4987	212	148	s2	s2	PROPN
ejpam-4987	212	149	,	,	PUNCT
ejpam-4987	212	150	s3	s3	PROPN
ejpam-4987	212	151	,	,	PUNCT
ejpam-4987	212	152	ei	ei	PROPN
ejpam-4987	212	153	,	,	PUNCT
ejpam-4987	212	154	ec	ec	PROPN
ejpam-4987	212	155	,	,	PUNCT
ejpam-4987	212	156	i	i	PRON
ejpam-4987	212	157	,	,	PUNCT
ejpam-4987	212	158	c	c	X
ejpam-4987	212	159	,	,	PUNCT
ejpam-4987	212	160	r	r	NOUN
ejpam-4987	212	161	)	)	PUNCT
ejpam-4987	212	162	f6(s1	f6(s1	NOUN
ejpam-4987	212	163	,	,	PUNCT
ejpam-4987	212	164	s2	s2	PROPN
ejpam-4987	212	165	,	,	PUNCT
ejpam-4987	212	166	s3	s3	PROPN
ejpam-4987	212	167	,	,	PUNCT
ejpam-4987	212	168	ei	ei	PROPN
ejpam-4987	212	169	,	,	PUNCT
ejpam-4987	212	170	ec	ec	PROPN
ejpam-4987	212	171	,	,	PUNCT
ejpam-4987	212	172	i	i	PRON
ejpam-4987	212	173	,	,	PUNCT
ejpam-4987	212	174	c	c	X
ejpam-4987	212	175	,	,	PUNCT
ejpam-4987	212	176	r	r	NOUN
ejpam-4987	212	177	)	)	PUNCT
ejpam-4987	212	178	f7(s1	f7(s1	PROPN
ejpam-4987	212	179	,	,	PUNCT
ejpam-4987	212	180	s2	s2	PROPN
ejpam-4987	212	181	,	,	PUNCT
ejpam-4987	212	182	s3	s3	PROPN
ejpam-4987	212	183	,	,	PUNCT
ejpam-4987	212	184	ei	ei	PROPN
ejpam-4987	212	185	,	,	PUNCT
ejpam-4987	212	186	ec	ec	PROPN
ejpam-4987	212	187	,	,	PUNCT
ejpam-4987	212	188	i	i	PRON
ejpam-4987	212	189	,	,	PUNCT
ejpam-4987	212	190	c	c	X
ejpam-4987	212	191	,	,	PUNCT
ejpam-4987	212	192	r	r	NOUN
ejpam-4987	212	193	)	)	PUNCT
ejpam-4987	212	194	f8(s1	f8(s1	PROPN
ejpam-4987	212	195	,	,	PUNCT
ejpam-4987	212	196	s2	s2	PROPN
ejpam-4987	212	197	,	,	PUNCT
ejpam-4987	212	198	s3	s3	PROPN
ejpam-4987	212	199	,	,	PUNCT
ejpam-4987	212	200	ei	ei	PROPN
ejpam-4987	212	201	,	,	PUNCT
ejpam-4987	212	202	ec	ec	PROPN
ejpam-4987	212	203	,	,	PUNCT
ejpam-4987	212	204	i	i	PRON
ejpam-4987	212	205	,	,	PUNCT
ejpam-4987	212	206	c	c	X
ejpam-4987	212	207	,	,	PUNCT
ejpam-4987	212	208	r	r	NOUN
ejpam-4987	212	209	)	)	PUNCT
ejpam-4987	212	210			NOUN
ejpam-4987	212	211	(	(	PUNCT
ejpam-4987	212	212	5	5	NUM
ejpam-4987	212	213	)	)	PUNCT
ejpam-4987	213	1	where	where	SCONJ
ejpam-4987	213	2	f1(s1	f1(s1	NOUN
ejpam-4987	213	3	,	,	PUNCT
ejpam-4987	213	4	s2	s2	PROPN
ejpam-4987	213	5	,	,	PUNCT
ejpam-4987	213	6	s3	s3	PROPN
ejpam-4987	213	7	,	,	PUNCT
ejpam-4987	213	8	ei	ei	PROPN
ejpam-4987	213	9	,	,	PUNCT
ejpam-4987	213	10	ec	ec	PROPN
ejpam-4987	213	11	,	,	PUNCT
ejpam-4987	213	12	i	i	PRON
ejpam-4987	213	13	,	,	PUNCT
ejpam-4987	213	14	c	c	X
ejpam-4987	213	15	,	,	PUNCT
ejpam-4987	213	16	r	r	NOUN
ejpam-4987	213	17	)	)	PUNCT
ejpam-4987	213	18	=	=	SYM
ejpam-4987	213	19	λ−	λ−	PROPN
ejpam-4987	213	20	iλi	iλi	NOUN
ejpam-4987	213	21	−	−	NOUN
ejpam-4987	213	22	cλc	cλc	NOUN
ejpam-4987	213	23	−	−	PROPN
ejpam-4987	213	24	(	(	PUNCT
ejpam-4987	213	25	µ+	µ+	X
ejpam-4987	213	26	p1)s1	p1)s1	NOUN
ejpam-4987	213	27	−	−	PROPN
ejpam-4987	213	28	b1,1eis1	b1,1eis1	NOUN
ejpam-4987	213	29	−	−	PROPN
ejpam-4987	213	30	b1,2ecs1	b1,2ecs1	ADV
ejpam-4987	213	31	−	−	PROPN
ejpam-4987	213	32	b1,3is1	b1,3is1	VERB
ejpam-4987	213	33	−	−	NOUN
ejpam-4987	213	34	b1,4cs1	b1,4cs1	NOUN
ejpam-4987	213	35	f2(s1	f2(s1	NOUN
ejpam-4987	213	36	,	,	PUNCT
ejpam-4987	213	37	s2	s2	PROPN
ejpam-4987	213	38	,	,	PUNCT
ejpam-4987	213	39	s3	s3	PROPN
ejpam-4987	213	40	,	,	PUNCT
ejpam-4987	213	41	ei	ei	PROPN
ejpam-4987	213	42	,	,	PUNCT
ejpam-4987	213	43	ec	ec	PROPN
ejpam-4987	213	44	,	,	PUNCT
ejpam-4987	213	45	i	i	PRON
ejpam-4987	213	46	,	,	PUNCT
ejpam-4987	213	47	c	c	X
ejpam-4987	213	48	,	,	PUNCT
ejpam-4987	213	49	r	r	NOUN
ejpam-4987	213	50	)	)	PUNCT
ejpam-4987	213	51	=	=	PUNCT
ejpam-4987	214	1	p1s1	p1s1	ADP
ejpam-4987	214	2	−	−	PROPN
ejpam-4987	214	3	(	(	PUNCT
ejpam-4987	214	4	µ+	µ+	X
ejpam-4987	214	5	p2)s2	p2)s2	ADJ
ejpam-4987	214	6	−	−	PROPN
ejpam-4987	214	7	b2,1eis2	b2,1eis2	NOUN
ejpam-4987	214	8	−	−	NOUN
ejpam-4987	214	9	b2,2ecs2	b2,2ecs2	PROPN
ejpam-4987	214	10	−	−	PROPN
ejpam-4987	214	11	b2,3is2	b2,3is2	NOUN
ejpam-4987	214	12	−	−	NOUN
ejpam-4987	214	13	b2,4cs2	b2,4cs2	ADP
ejpam-4987	214	14	f3(s1	f3(s1	PROPN
ejpam-4987	214	15	,	,	PUNCT
ejpam-4987	214	16	s2	s2	PROPN
ejpam-4987	214	17	,	,	PUNCT
ejpam-4987	214	18	s3	s3	PROPN
ejpam-4987	214	19	,	,	PUNCT
ejpam-4987	214	20	ei	ei	PROPN
ejpam-4987	214	21	,	,	PUNCT
ejpam-4987	214	22	ec	ec	PROPN
ejpam-4987	214	23	,	,	PUNCT
ejpam-4987	214	24	i	i	PRON
ejpam-4987	214	25	,	,	PUNCT
ejpam-4987	214	26	c	c	X
ejpam-4987	214	27	,	,	PUNCT
ejpam-4987	214	28	r	r	NOUN
ejpam-4987	214	29	)	)	PUNCT
ejpam-4987	214	30	=	=	SYM
ejpam-4987	214	31	p2s2	p2s2	PROPN
ejpam-4987	214	32	−	−	PROPN
ejpam-4987	214	33	µs3	µs3	NOUN
ejpam-4987	214	34	−	−	NOUN
ejpam-4987	214	35	b3,1eis3	b3,1eis3	PRON
ejpam-4987	214	36	−	−	PROPN
ejpam-4987	214	37	b3,2ecs3	b3,2ecs3	NOUN
ejpam-4987	214	38	−	−	NOUN
ejpam-4987	214	39	b3,3is3	b3,3is3	X
ejpam-4987	214	40	−	−	PROPN
ejpam-4987	214	41	b3,4cs3	b3,4cs3	PROPN
ejpam-4987	214	42	f4(s1	f4(s1	PROPN
ejpam-4987	214	43	,	,	PUNCT
ejpam-4987	214	44	s2	s2	PROPN
ejpam-4987	214	45	,	,	PUNCT
ejpam-4987	214	46	s3	s3	PROPN
ejpam-4987	214	47	,	,	PUNCT
ejpam-4987	214	48	ei	ei	PROPN
ejpam-4987	214	49	,	,	PUNCT
ejpam-4987	214	50	ec	ec	PROPN
ejpam-4987	214	51	,	,	PUNCT
ejpam-4987	214	52	i	i	PRON
ejpam-4987	214	53	,	,	PUNCT
ejpam-4987	214	54	c	c	X
ejpam-4987	214	55	,	,	PUNCT
ejpam-4987	214	56	r	r	NOUN
ejpam-4987	214	57	)	)	PUNCT
ejpam-4987	214	58	=	=	SYM
ejpam-4987	214	59	α1s1(b1,1ei	α1s1(b1,1ei	PROPN
ejpam-4987	214	60	+	+	CCONJ
ejpam-4987	214	61	b1,2ec	b1,2ec	PROPN
ejpam-4987	214	62	+	+	CCONJ
ejpam-4987	214	63	b1,3i+	b1,3i+	PROPN
ejpam-4987	214	64	b1,4c	b1,4c	PROPN
ejpam-4987	214	65	)	)	PUNCT
ejpam-4987	215	1	+	+	CCONJ
ejpam-4987	215	2	α2s2(b2,1ei	α2s2(b2,1ei	PROPN
ejpam-4987	215	3	+	+	CCONJ
ejpam-4987	215	4	b2,2ec	b2,2ec	NOUN
ejpam-4987	215	5	+	+	CCONJ
ejpam-4987	215	6	b2,3i+	b2,3i+	PROPN
ejpam-4987	215	7	b2,4c)+	b2,4c)+	X
ejpam-4987	215	8	+	+	NUM
ejpam-4987	215	9	α3s3(b3,1ei	α3s3(b3,1ei	PROPN
ejpam-4987	215	10	+	+	CCONJ
ejpam-4987	215	11	b3,2ec	b3,2ec	PROPN
ejpam-4987	215	12	+	+	NUM
ejpam-4987	215	13	b3,3i+	b3,3i+	PUNCT
ejpam-4987	215	14	b3,4c	b3,4c	PROPN
ejpam-4987	215	15	)	)	PUNCT
ejpam-4987	216	1	+	+	CCONJ
ejpam-4987	216	2	λii−	λii−	NOUN
ejpam-4987	216	3	µei	µei	NOUN
ejpam-4987	216	4	−	−	PROPN
ejpam-4987	216	5	δ1ei	δ1ei	PUNCT
ejpam-4987	216	6	w.-o	w.-o	PROPN
ejpam-4987	216	7	sawadogo	sawadogo	VERB
ejpam-4987	217	1	et	et	PROPN
ejpam-4987	217	2	al	al	PROPN
ejpam-4987	217	3	.	.	PUNCT
ejpam-4987	217	4	/	/	SYM
ejpam-4987	217	5	eur	eur	PROPN
ejpam-4987	217	6	.	.	PUNCT
ejpam-4987	218	1	j.	j.	PROPN
ejpam-4987	218	2	pure	pure	PROPN
ejpam-4987	218	3	appl	appl	PROPN
ejpam-4987	218	4	.	.	PROPN
ejpam-4987	218	5	math	math	PROPN
ejpam-4987	218	6	,	,	PUNCT
ejpam-4987	218	7	17	17	NUM
ejpam-4987	218	8	(	(	PUNCT
ejpam-4987	218	9	1	1	NUM
ejpam-4987	218	10	)	)	PUNCT
ejpam-4987	218	11	(	(	PUNCT
ejpam-4987	218	12	2024	2024	NUM
ejpam-4987	218	13	)	)	PUNCT
ejpam-4987	218	14	,	,	PUNCT
ejpam-4987	218	15	59	59	NUM
ejpam-4987	218	16	-	-	SYM
ejpam-4987	218	17	92	92	NUM
ejpam-4987	218	18	70	70	NUM
ejpam-4987	218	19	f5(s1	f5(s1	ADJ
ejpam-4987	218	20	,	,	PUNCT
ejpam-4987	218	21	s2	s2	PROPN
ejpam-4987	218	22	,	,	PUNCT
ejpam-4987	218	23	s3	s3	PROPN
ejpam-4987	218	24	,	,	PUNCT
ejpam-4987	218	25	ei	ei	PROPN
ejpam-4987	218	26	,	,	PUNCT
ejpam-4987	218	27	ec	ec	PROPN
ejpam-4987	218	28	,	,	PUNCT
ejpam-4987	218	29	i	i	PRON
ejpam-4987	218	30	,	,	PUNCT
ejpam-4987	218	31	c	c	X
ejpam-4987	218	32	,	,	PUNCT
ejpam-4987	218	33	r	r	NOUN
ejpam-4987	218	34	)	)	PUNCT
ejpam-4987	218	35	=	=	SYM
ejpam-4987	218	36	(	(	PUNCT
ejpam-4987	218	37	1−	1−	NUM
ejpam-4987	218	38	α1)s1(b1,1ei	α1)s1(b1,1ei	NUM
ejpam-4987	218	39	+	+	CCONJ
ejpam-4987	218	40	b1,2ec	b1,2ec	PROPN
ejpam-4987	218	41	+	+	CCONJ
ejpam-4987	218	42	b1,3i+	b1,3i+	PROPN
ejpam-4987	218	43	b1,4c	b1,4c	PROPN
ejpam-4987	218	44	)	)	PUNCT
ejpam-4987	219	1	+	+	CCONJ
ejpam-4987	219	2	(	(	PUNCT
ejpam-4987	219	3	1−	1−	NUM
ejpam-4987	219	4	α2)s2(b2,1ei	α2)s2(b2,1ei	ADV
ejpam-4987	219	5	+	+	CCONJ
ejpam-4987	219	6	b2,2ec	b2,2ec	PROPN
ejpam-4987	219	7	+	+	CCONJ
ejpam-4987	219	8	b2,3i+	b2,3i+	PROPN
ejpam-4987	219	9	b2,4c	b2,4c	PROPN
ejpam-4987	219	10	)	)	PUNCT
ejpam-4987	220	1	+	+	X
ejpam-4987	221	1	+	+	ADJ
ejpam-4987	221	2	(	(	PUNCT
ejpam-4987	221	3	1−	1−	NUM
ejpam-4987	221	4	α3)s3(b3,1ei	α3)s3(b3,1ei	NUM
ejpam-4987	221	5	+	+	NUM
ejpam-4987	221	6	b3,2ec	b3,2ec	PROPN
ejpam-4987	221	7	+	+	X
ejpam-4987	221	8	b3,3i+	b3,3i+	NOUN
ejpam-4987	221	9	b3,4c)+	b3,4c)+	PROPN
ejpam-4987	222	1	+	+	CCONJ
ejpam-4987	222	2	λcc−	λcc−	NOUN
ejpam-4987	222	3	µec	µec	ADJ
ejpam-4987	222	4	−	−	NOUN
ejpam-4987	222	5	δ2ec	δ2ec	X
ejpam-4987	222	6	f6(s1	f6(s1	NOUN
ejpam-4987	222	7	,	,	PUNCT
ejpam-4987	222	8	s2	s2	PROPN
ejpam-4987	222	9	,	,	PUNCT
ejpam-4987	222	10	s3	s3	PROPN
ejpam-4987	222	11	,	,	PUNCT
ejpam-4987	222	12	ei	ei	PROPN
ejpam-4987	222	13	,	,	PUNCT
ejpam-4987	222	14	ec	ec	PROPN
ejpam-4987	222	15	,	,	PUNCT
ejpam-4987	222	16	i	i	PRON
ejpam-4987	222	17	,	,	PUNCT
ejpam-4987	222	18	c	c	X
ejpam-4987	222	19	,	,	PUNCT
ejpam-4987	222	20	r	r	NOUN
ejpam-4987	222	21	)	)	PUNCT
ejpam-4987	222	22	=	=	SYM
ejpam-4987	222	23	δ1ei	δ1ei	X
ejpam-4987	222	24	−	−	PUNCT
ejpam-4987	223	1	µi−	µi−	PUNCT
ejpam-4987	223	2	γii−	γii−	PROPN
ejpam-4987	223	3	µii	µii	NOUN
ejpam-4987	223	4	f7(s1	f7(s1	NOUN
ejpam-4987	223	5	,	,	PUNCT
ejpam-4987	223	6	s2	s2	PROPN
ejpam-4987	223	7	,	,	PUNCT
ejpam-4987	223	8	s3	s3	PROPN
ejpam-4987	223	9	,	,	PUNCT
ejpam-4987	223	10	ei	ei	PROPN
ejpam-4987	223	11	,	,	PUNCT
ejpam-4987	223	12	ec	ec	PROPN
ejpam-4987	223	13	,	,	PUNCT
ejpam-4987	223	14	i	i	PRON
ejpam-4987	223	15	,	,	PUNCT
ejpam-4987	223	16	c	c	X
ejpam-4987	223	17	,	,	PUNCT
ejpam-4987	223	18	r	r	NOUN
ejpam-4987	223	19	)	)	PUNCT
ejpam-4987	223	20	=	=	SYM
ejpam-4987	223	21	δ2ec	δ2ec	X
ejpam-4987	223	22	−	−	PROPN
ejpam-4987	223	23	µc−	µc−	PUNCT
ejpam-4987	223	24	γcc−	γcc−	PROPN
ejpam-4987	223	25	µcc	µcc	NOUN
ejpam-4987	223	26	f8(s1	f8(s1	PROPN
ejpam-4987	223	27	,	,	PUNCT
ejpam-4987	223	28	s2	s2	PROPN
ejpam-4987	223	29	,	,	PUNCT
ejpam-4987	223	30	s3	s3	PROPN
ejpam-4987	223	31	,	,	PUNCT
ejpam-4987	223	32	ei	ei	PROPN
ejpam-4987	223	33	,	,	PUNCT
ejpam-4987	223	34	ec	ec	PROPN
ejpam-4987	223	35	,	,	PUNCT
ejpam-4987	223	36	i	i	PRON
ejpam-4987	223	37	,	,	PUNCT
ejpam-4987	223	38	c	c	X
ejpam-4987	223	39	,	,	PUNCT
ejpam-4987	223	40	r	r	NOUN
ejpam-4987	223	41	)	)	PUNCT
ejpam-4987	223	42	=	=	PUNCT
ejpam-4987	224	1	γii+	γii+	ADP
ejpam-4987	224	2	γcc−	γcc−	PROPN
ejpam-4987	224	3	µr	µr	ADP
ejpam-4987	224	4	are	be	AUX
ejpam-4987	224	5	quasi	quasi	ADJ
ejpam-4987	224	6	-	-	ADJ
ejpam-4987	224	7	positive	positive	ADJ
ejpam-4987	224	8	.	.	PUNCT
ejpam-4987	225	1	consequently	consequently	ADV
ejpam-4987	225	2	,	,	PUNCT
ejpam-4987	225	3	since	since	SCONJ
ejpam-4987	225	4	the	the	DET
ejpam-4987	225	5	initial	initial	ADJ
ejpam-4987	225	6	conditions	condition	NOUN
ejpam-4987	225	7	are	be	AUX
ejpam-4987	225	8	nonnegative	nonnegative	ADJ
ejpam-4987	225	9	,	,	PUNCT
ejpam-4987	225	10	this	this	PRON
ejpam-4987	225	11	implies	imply	VERB
ejpam-4987	225	12	that	that	SCONJ
ejpam-4987	225	13	the	the	DET
ejpam-4987	225	14	solution	solution	NOUN
ejpam-4987	225	15	components	component	NOUN
ejpam-4987	225	16	are	be	AUX
ejpam-4987	225	17	nonnegative	nonnegative	ADJ
ejpam-4987	225	18	for	for	ADP
ejpam-4987	225	19	all	all	DET
ejpam-4987	225	20	t	t	NOUN
ejpam-4987	225	21	∈	∈	PROPN
ejpam-4987	226	1	[	[	X
ejpam-4987	226	2	0	0	NUM
ejpam-4987	226	3	,	,	PUNCT
ejpam-4987	226	4	tmax	tmax	NUM
ejpam-4987	226	5	)	)	PUNCT
ejpam-4987	226	6	.	.	PUNCT
ejpam-4987	227	1	now	now	ADV
ejpam-4987	227	2	,	,	PUNCT
ejpam-4987	227	3	let	let	VERB
ejpam-4987	227	4	the	the	DET
ejpam-4987	227	5	function	function	NOUN
ejpam-4987	227	6	n	n	AUX
ejpam-4987	227	7	be	be	AUX
ejpam-4987	227	8	defined	define	VERB
ejpam-4987	227	9	as	as	ADP
ejpam-4987	227	10	n(t	n(t	NOUN
ejpam-4987	227	11	)	)	PUNCT
ejpam-4987	227	12	=	=	PUNCT
ejpam-4987	228	1	s1(t	s1(t	X
ejpam-4987	228	2	)	)	PUNCT
ejpam-4987	228	3	+	+	X
ejpam-4987	228	4	s2(t	s2(t	X
ejpam-4987	228	5	)	)	PUNCT
ejpam-4987	228	6	+	+	X
ejpam-4987	228	7	s3(t	s3(t	VERB
ejpam-4987	228	8	)	)	PUNCT
ejpam-4987	228	9	+	+	NUM
ejpam-4987	228	10	ei(t	ei(t	X
ejpam-4987	228	11	)	)	PUNCT
ejpam-4987	229	1	+	+	NOUN
ejpam-4987	229	2	ec(t	ec(t	NOUN
ejpam-4987	229	3	)	)	PUNCT
ejpam-4987	230	1	+	+	CCONJ
ejpam-4987	230	2	i(t	i(t	NOUN
ejpam-4987	230	3	)	)	PUNCT
ejpam-4987	231	1	+	+	SYM
ejpam-4987	232	1	c(t	c(t	PROPN
ejpam-4987	232	2	)	)	PUNCT
ejpam-4987	232	3	+	+	NUM
ejpam-4987	232	4	r(t	r(t	NOUN
ejpam-4987	232	5	)	)	PUNCT
ejpam-4987	232	6	by	by	ADP
ejpam-4987	232	7	taking	take	VERB
ejpam-4987	232	8	the	the	DET
ejpam-4987	232	9	sum	sum	NOUN
ejpam-4987	232	10	of	of	ADP
ejpam-4987	232	11	the	the	DET
ejpam-4987	232	12	first	first	ADJ
ejpam-4987	232	13	eight	eight	NUM
ejpam-4987	232	14	equations	equation	NOUN
ejpam-4987	232	15	in	in	ADP
ejpam-4987	232	16	(	(	PUNCT
ejpam-4987	232	17	s	s	NOUN
ejpam-4987	232	18	)	)	PUNCT
ejpam-4987	232	19	,	,	PUNCT
ejpam-4987	233	1	we	we	PRON
ejpam-4987	233	2	observe	observe	NUM
ejpam-4987	233	3	dn	dn	PROPN
ejpam-4987	233	4	dt	dt	PUNCT
ejpam-4987	233	5	≤	≤	PROPN
ejpam-4987	233	6	λ−	λ−	PROPN
ejpam-4987	233	7	µs(t	µs(t	PROPN
ejpam-4987	233	8	)	)	PUNCT
ejpam-4987	233	9	n(0	n(0	PROPN
ejpam-4987	233	10	)	)	PUNCT
ejpam-4987	233	11	=	=	SYM
ejpam-4987	233	12	1	1	X
ejpam-4987	233	13	.	.	PUNCT
ejpam-4987	233	14	(	(	PUNCT
ejpam-4987	233	15	6	6	X
ejpam-4987	233	16	)	)	PUNCT
ejpam-4987	233	17	integrating	integrate	VERB
ejpam-4987	233	18	equation	equation	NOUN
ejpam-4987	233	19	(	(	PUNCT
ejpam-4987	233	20	6	6	NUM
ejpam-4987	233	21	)	)	PUNCT
ejpam-4987	233	22	over	over	ADP
ejpam-4987	233	23	(	(	PUNCT
ejpam-4987	233	24	0	0	NUM
ejpam-4987	233	25	,	,	PUNCT
ejpam-4987	233	26	t	t	PROPN
ejpam-4987	233	27	)	)	PUNCT
ejpam-4987	233	28	for	for	ADP
ejpam-4987	233	29	all	all	PRON
ejpam-4987	233	30	0	0	NUM
ejpam-4987	233	31	<	<	X
ejpam-4987	233	32	t	t	X
ejpam-4987	233	33	<	<	X
ejpam-4987	233	34	t	t	PROPN
ejpam-4987	233	35	,	,	PUNCT
ejpam-4987	233	36	one	one	PRON
ejpam-4987	233	37	can	can	AUX
ejpam-4987	233	38	get	get	VERB
ejpam-4987	233	39	the	the	DET
ejpam-4987	233	40	following	follow	VERB
ejpam-4987	233	41	n(t)eµt	n(t)eµt	NOUN
ejpam-4987	233	42	−	−	PROPN
ejpam-4987	233	43	1	1	NUM
ejpam-4987	233	44	≤	≤	NUM
ejpam-4987	233	45	λ	λ	PROPN
ejpam-4987	233	46	µ	µ	X
ejpam-4987	233	47	(	(	PUNCT
ejpam-4987	233	48	eµt	eµt	ADV
ejpam-4987	233	49	−	−	PROPN
ejpam-4987	233	50	1	1	NUM
ejpam-4987	233	51	)	)	PUNCT
ejpam-4987	233	52	,	,	PUNCT
ejpam-4987	233	53	which	which	PRON
ejpam-4987	233	54	implies	imply	VERB
ejpam-4987	233	55	that	that	SCONJ
ejpam-4987	233	56	n(t	n(t	PROPN
ejpam-4987	233	57	)	)	PUNCT
ejpam-4987	233	58	≤	≤	PUNCT
ejpam-4987	234	1	e−µt	e−µt	PROPN
ejpam-4987	234	2	+	+	CCONJ
ejpam-4987	234	3	λ	λ	X
ejpam-4987	234	4	µ	µ	X
ejpam-4987	234	5	(	(	PUNCT
ejpam-4987	234	6	1−	1−	NUM
ejpam-4987	234	7	e−µt	e−µt	PROPN
ejpam-4987	234	8	)	)	PUNCT
ejpam-4987	234	9	.	.	PUNCT
ejpam-4987	235	1	therefore	therefore	ADV
ejpam-4987	235	2	n(t	n(t	NUM
ejpam-4987	235	3	)	)	PUNCT
ejpam-4987	235	4	≤	≤	NOUN
ejpam-4987	235	5	(	(	PUNCT
ejpam-4987	235	6	1−	1−	NUM
ejpam-4987	235	7	λ	λ	SYM
ejpam-4987	235	8	µ	µ	X
ejpam-4987	235	9	)	)	PUNCT
ejpam-4987	235	10	e−µt	e−µt	PROPN
ejpam-4987	236	1	+	+	CCONJ
ejpam-4987	236	2	λ	λ	X
ejpam-4987	236	3	µ	µ	X
ejpam-4987	236	4	.	.	PUNCT
ejpam-4987	237	1	here	here	ADV
ejpam-4987	237	2	,	,	PUNCT
ejpam-4987	237	3	two	two	NUM
ejpam-4987	237	4	different	different	ADJ
ejpam-4987	237	5	cases	case	NOUN
ejpam-4987	237	6	are	be	AUX
ejpam-4987	237	7	distinguished	distinguish	VERB
ejpam-4987	237	8	.	.	PUNCT
ejpam-4987	238	1	if	if	SCONJ
ejpam-4987	238	2	λ	λ	PROPN
ejpam-4987	238	3	µ	µ	X
ejpam-4987	238	4	<	<	X
ejpam-4987	238	5	1	1	NUM
ejpam-4987	238	6	,	,	PUNCT
ejpam-4987	238	7	then	then	ADV
ejpam-4987	238	8	the	the	DET
ejpam-4987	238	9	following	follow	VERB
ejpam-4987	238	10	inequality	inequality	NOUN
ejpam-4987	238	11	is	be	AUX
ejpam-4987	238	12	satisfied	satisfied	ADJ
ejpam-4987	238	13	n(t	n(t	NOUN
ejpam-4987	238	14	)	)	PUNCT
ejpam-4987	238	15	≤	≤	NOUN
ejpam-4987	239	1	1−	1−	NUM
ejpam-4987	239	2	λ	λ	SYM
ejpam-4987	239	3	µ	µ	X
ejpam-4987	239	4	+	+	X
ejpam-4987	239	5	λ	λ	X
ejpam-4987	239	6	µ	µ	VERB
ejpam-4987	239	7	≤	≤	NUM
ejpam-4987	239	8	1	1	NUM
ejpam-4987	239	9	,	,	PUNCT
ejpam-4987	239	10	otherwise	otherwise	ADV
ejpam-4987	239	11	,	,	PUNCT
ejpam-4987	239	12	if	if	SCONJ
ejpam-4987	239	13	λ	λ	PROPN
ejpam-4987	239	14	µ	µ	X
ejpam-4987	239	15	≥	≥	NOUN
ejpam-4987	239	16	1	1	NUM
ejpam-4987	239	17	then	then	ADV
ejpam-4987	239	18	n(t	n(t	NUM
ejpam-4987	239	19	)	)	PUNCT
ejpam-4987	239	20	≤	≤	NUM
ejpam-4987	239	21	λ	λ	PROPN
ejpam-4987	239	22	µ	µ	X
ejpam-4987	239	23	.	.	PUNCT
ejpam-4987	240	1	w.-o	w.-o	PROPN
ejpam-4987	240	2	sawadogo	sawadogo	VERB
ejpam-4987	240	3	et	et	PROPN
ejpam-4987	240	4	al	al	PROPN
ejpam-4987	240	5	.	.	PUNCT
ejpam-4987	240	6	/	/	SYM
ejpam-4987	240	7	eur	eur	PROPN
ejpam-4987	240	8	.	.	PUNCT
ejpam-4987	241	1	j.	j.	PROPN
ejpam-4987	241	2	pure	pure	PROPN
ejpam-4987	241	3	appl	appl	PROPN
ejpam-4987	241	4	.	.	PROPN
ejpam-4987	241	5	math	math	PROPN
ejpam-4987	241	6	,	,	PUNCT
ejpam-4987	241	7	17	17	NUM
ejpam-4987	241	8	(	(	PUNCT
ejpam-4987	241	9	1	1	NUM
ejpam-4987	241	10	)	)	PUNCT
ejpam-4987	241	11	(	(	PUNCT
ejpam-4987	241	12	2024	2024	NUM
ejpam-4987	241	13	)	)	PUNCT
ejpam-4987	241	14	,	,	PUNCT
ejpam-4987	241	15	59	59	NUM
ejpam-4987	241	16	-	-	SYM
ejpam-4987	241	17	92	92	NUM
ejpam-4987	241	18	71	71	NUM
ejpam-4987	241	19	finally	finally	ADV
ejpam-4987	241	20	,	,	PUNCT
ejpam-4987	241	21	one	one	PRON
ejpam-4987	241	22	can	can	AUX
ejpam-4987	241	23	get	get	VERB
ejpam-4987	241	24	the	the	DET
ejpam-4987	241	25	following	follow	VERB
ejpam-4987	241	26	n(t	n(t	NOUN
ejpam-4987	241	27	)	)	PUNCT
ejpam-4987	241	28	≤	≤	PUNCT
ejpam-4987	242	1	λ	λ	PROPN
ejpam-4987	242	2	µ	µ	X
ejpam-4987	242	3	+	+	NOUN
ejpam-4987	242	4	1	1	NUM
ejpam-4987	242	5	.	.	PUNCT
ejpam-4987	242	6	(	(	PUNCT
ejpam-4987	242	7	7	7	NUM
ejpam-4987	242	8	)	)	PUNCT
ejpam-4987	242	9	hence	hence	ADV
ejpam-4987	242	10	,	,	PUNCT
ejpam-4987	242	11	tmax	tmax	ADP
ejpam-4987	242	12	=	=	SYM
ejpam-4987	242	13	∞	∞	PROPN
ejpam-4987	242	14	and	and	CCONJ
ejpam-4987	242	15	the	the	DET
ejpam-4987	242	16	existence	existence	NOUN
ejpam-4987	242	17	of	of	ADP
ejpam-4987	242	18	unique	unique	ADJ
ejpam-4987	242	19	,	,	PUNCT
ejpam-4987	242	20	non	non	ADJ
ejpam-4987	242	21	-	-	ADJ
ejpam-4987	242	22	negative	negative	ADJ
ejpam-4987	242	23	and	and	CCONJ
ejpam-4987	242	24	bounded	bound	VERB
ejpam-4987	242	25	global	global	ADJ
ejpam-4987	242	26	solution	solution	NOUN
ejpam-4987	242	27	are	be	AUX
ejpam-4987	242	28	proved	prove	VERB
ejpam-4987	242	29	.	.	PUNCT
ejpam-4987	243	1	ii	ii	X
ejpam-4987	243	2	)	)	PUNCT
ejpam-4987	243	3	we	we	PRON
ejpam-4987	243	4	remark	remark	VERB
ejpam-4987	243	5	that	that	SCONJ
ejpam-4987	243	6	s1	s1	NOUN
ejpam-4987	243	7	satisfies	satisfy	VERB
ejpam-4987	243	8	the	the	DET
ejpam-4987	243	9	following	following	NUM
ejpam-4987	243	10	ds1	ds1	PROPN
ejpam-4987	243	11	dt	dt	PUNCT
ejpam-4987	243	12	≤	≤	ADV
ejpam-4987	243	13	λ−	λ−	PROPN
ejpam-4987	243	14	(	(	PUNCT
ejpam-4987	243	15	µ+	µ+	X
ejpam-4987	243	16	p1)s1(t	p1)s1(t	NOUN
ejpam-4987	243	17	)	)	PUNCT
ejpam-4987	243	18	s1(0	s1(0	PROPN
ejpam-4987	243	19	)	)	PUNCT
ejpam-4987	243	20	=	=	PUNCT
ejpam-4987	244	1	s1,0	s1,0	PROPN
ejpam-4987	244	2	.	.	PUNCT
ejpam-4987	245	1	(	(	PUNCT
ejpam-4987	245	2	8)	8)	NUM
ejpam-4987	245	3	by	by	ADP
ejpam-4987	245	4	integrating	integrate	VERB
ejpam-4987	245	5	(	(	PUNCT
ejpam-4987	245	6	8)	8)	NUM
ejpam-4987	245	7	over	over	ADP
ejpam-4987	245	8	(	(	PUNCT
ejpam-4987	245	9	0	0	NUM
ejpam-4987	245	10	,	,	PUNCT
ejpam-4987	245	11	t	t	PROPN
ejpam-4987	245	12	)	)	PUNCT
ejpam-4987	245	13	for	for	ADP
ejpam-4987	245	14	all	all	PRON
ejpam-4987	245	15	0	0	NUM
ejpam-4987	245	16	<	<	X
ejpam-4987	245	17	t	t	X
ejpam-4987	245	18	<	<	X
ejpam-4987	245	19	t	t	PROPN
ejpam-4987	245	20	,	,	PUNCT
ejpam-4987	245	21	we	we	PRON
ejpam-4987	245	22	obtain	obtain	VERB
ejpam-4987	245	23	s1(t)e	s1(t)e	NOUN
ejpam-4987	245	24	(	(	PUNCT
ejpam-4987	246	1	µ+p1)t	µ+p1)t	INTJ
ejpam-4987	246	2	≤	≤	PROPN
ejpam-4987	246	3	λ	λ	PROPN
ejpam-4987	246	4	(	(	PUNCT
ejpam-4987	246	5	µ+	µ+	X
ejpam-4987	246	6	p1	p1	NOUN
ejpam-4987	246	7	)	)	PUNCT
ejpam-4987	246	8	(	(	PUNCT
ejpam-4987	246	9	e(µ+p1)t	e(µ+p1)t	PROPN
ejpam-4987	246	10	−	−	PROPN
ejpam-4987	246	11	1	1	NUM
ejpam-4987	246	12	)	)	PUNCT
ejpam-4987	246	13	+	+	CCONJ
ejpam-4987	247	1	s1,0	s1,0	PROPN
ejpam-4987	247	2	.	.	PUNCT
ejpam-4987	248	1	since	since	SCONJ
ejpam-4987	248	2	s1,0	s1,0	PROPN
ejpam-4987	248	3	≤	≤	PROPN
ejpam-4987	248	4	λ	λ	PROPN
ejpam-4987	248	5	(	(	PUNCT
ejpam-4987	248	6	µ+	µ+	X
ejpam-4987	248	7	p1	p1	NOUN
ejpam-4987	248	8	)	)	PUNCT
ejpam-4987	248	9	,	,	PUNCT
ejpam-4987	248	10	we	we	PRON
ejpam-4987	248	11	obtain	obtain	VERB
ejpam-4987	248	12	s1(t	s1(t	NOUN
ejpam-4987	248	13	)	)	PUNCT
ejpam-4987	248	14	≤	≤	NUM
ejpam-4987	248	15	λ	λ	PROPN
ejpam-4987	248	16	(	(	PUNCT
ejpam-4987	248	17	µ+	µ+	X
ejpam-4987	248	18	p1	p1	NOUN
ejpam-4987	248	19	)	)	PUNCT
ejpam-4987	248	20	.	.	PUNCT
ejpam-4987	249	1	the	the	DET
ejpam-4987	249	2	same	same	ADJ
ejpam-4987	249	3	reasoning	reasoning	NOUN
ejpam-4987	249	4	is	be	AUX
ejpam-4987	249	5	applied	apply	VERB
ejpam-4987	249	6	for	for	ADP
ejpam-4987	249	7	s2	s2	NOUN
ejpam-4987	249	8	and	and	CCONJ
ejpam-4987	249	9	s3	s3	PROPN
ejpam-4987	249	10	which	which	PRON
ejpam-4987	249	11	concludes	conclude	VERB
ejpam-4987	249	12	the	the	DET
ejpam-4987	249	13	proof	proof	NOUN
ejpam-4987	249	14	of	of	ADP
ejpam-4987	249	15	this	this	DET
ejpam-4987	249	16	theorem	theorem	NOUN
ejpam-4987	249	17	.	.	PROPN
ejpam-4987	249	18	3.3	3.3	NUM
ejpam-4987	249	19	.	.	PUNCT
ejpam-4987	250	1	reproduction	reproduction	NOUN
ejpam-4987	250	2	rate	rate	NOUN
ejpam-4987	250	3	and	and	CCONJ
ejpam-4987	250	4	its	its	PRON
ejpam-4987	250	5	interpretations	interpretation	NOUN
ejpam-4987	250	6	infectious	infectious	ADJ
ejpam-4987	250	7	diseases	disease	NOUN
ejpam-4987	250	8	are	be	AUX
ejpam-4987	250	9	generally	generally	ADV
ejpam-4987	250	10	modeled	model	VERB
ejpam-4987	250	11	mathematically	mathematically	ADV
ejpam-4987	250	12	by	by	ADP
ejpam-4987	250	13	compartmental	compartmental	ADJ
ejpam-4987	250	14	models	model	NOUN
ejpam-4987	250	15	.	.	PUNCT
ejpam-4987	251	1	individuals	individual	NOUN
ejpam-4987	251	2	can	can	AUX
ejpam-4987	251	3	move	move	VERB
ejpam-4987	251	4	from	from	ADP
ejpam-4987	251	5	one	one	NUM
ejpam-4987	251	6	compartment	compartment	NOUN
ejpam-4987	251	7	to	to	ADP
ejpam-4987	251	8	another	another	PRON
ejpam-4987	251	9	,	,	PUNCT
ejpam-4987	251	10	and	and	CCONJ
ejpam-4987	251	11	the	the	DET
ejpam-4987	251	12	population	population	NOUN
ejpam-4987	251	13	is	be	AUX
ejpam-4987	251	14	represented	represent	VERB
ejpam-4987	251	15	by	by	ADP
ejpam-4987	251	16	compartments	compartment	NOUN
ejpam-4987	251	17	with	with	ADP
ejpam-4987	251	18	labels	label	NOUN
ejpam-4987	251	19	.	.	PUNCT
ejpam-4987	252	1	the	the	DET
ejpam-4987	252	2	first	first	ADJ
ejpam-4987	252	3	models	model	NOUN
ejpam-4987	252	4	date	date	VERB
ejpam-4987	252	5	back	back	ADV
ejpam-4987	252	6	to	to	ADP
ejpam-4987	252	7	the	the	DET
ejpam-4987	252	8	beginning	beginning	NOUN
ejpam-4987	252	9	of	of	ADP
ejpam-4987	252	10	the	the	DET
ejpam-4987	252	11	20th	20th	ADJ
ejpam-4987	252	12	century	century	NOUN
ejpam-4987	252	13	by	by	ADP
ejpam-4987	252	14	[	[	X
ejpam-4987	252	15	36	36	NUM
ejpam-4987	252	16	]	]	PUNCT
ejpam-4987	252	17	in	in	ADP
ejpam-4987	252	18	1916	1916	NUM
ejpam-4987	252	19	,	,	PUNCT
ejpam-4987	252	20	[	[	X
ejpam-4987	252	21	37	37	NUM
ejpam-4987	252	22	,	,	PUNCT
ejpam-4987	252	23	38	38	NUM
ejpam-4987	252	24	]	]	PUNCT
ejpam-4987	252	25	in	in	ADP
ejpam-4987	252	26	1917	1917	NUM
ejpam-4987	252	27	,	,	PUNCT
ejpam-4987	252	28	[	[	X
ejpam-4987	252	29	22	22	NUM
ejpam-4987	252	30	]	]	PUNCT
ejpam-4987	252	31	in	in	ADP
ejpam-4987	252	32	1927	1927	NUM
ejpam-4987	252	33	and	and	CCONJ
ejpam-4987	252	34	[	[	X
ejpam-4987	252	35	21	21	NUM
ejpam-4987	252	36	]	]	PUNCT
ejpam-4987	252	37	in	in	ADP
ejpam-4987	252	38	1956	1956	NUM
ejpam-4987	252	39	.	.	PUNCT
ejpam-4987	253	1	ordinary	ordinary	ADJ
ejpam-4987	253	2	differential	differential	ADJ
ejpam-4987	253	3	equations	equation	NOUN
ejpam-4987	253	4	(	(	PUNCT
ejpam-4987	253	5	deterministic	deterministic	ADJ
ejpam-4987	253	6	,	,	PUNCT
ejpam-4987	253	7	stochastic	stochastic	ADJ
ejpam-4987	253	8	or	or	CCONJ
ejpam-4987	253	9	fractional	fractional	ADJ
ejpam-4987	253	10	)	)	PUNCT
ejpam-4987	253	11	are	be	AUX
ejpam-4987	253	12	used	use	VERB
ejpam-4987	253	13	to	to	PART
ejpam-4987	253	14	analyze	analyze	VERB
ejpam-4987	253	15	these	these	DET
ejpam-4987	253	16	compartmental	compartmental	ADJ
ejpam-4987	253	17	models	model	NOUN
ejpam-4987	253	18	mathematically	mathematically	ADV
ejpam-4987	253	19	.	.	PUNCT
ejpam-4987	254	1	these	these	DET
ejpam-4987	254	2	mathematical	mathematical	ADJ
ejpam-4987	254	3	models	model	NOUN
ejpam-4987	254	4	can	can	AUX
ejpam-4987	254	5	be	be	AUX
ejpam-4987	254	6	used	use	VERB
ejpam-4987	254	7	to	to	PART
ejpam-4987	254	8	predict	predict	VERB
ejpam-4987	254	9	the	the	DET
ejpam-4987	254	10	spread	spread	NOUN
ejpam-4987	254	11	of	of	ADP
ejpam-4987	254	12	a	a	DET
ejpam-4987	254	13	disease	disease	NOUN
ejpam-4987	254	14	,	,	PUNCT
ejpam-4987	254	15	the	the	DET
ejpam-4987	254	16	total	total	ADJ
ejpam-4987	254	17	number	number	NOUN
ejpam-4987	254	18	of	of	ADP
ejpam-4987	254	19	people	people	NOUN
ejpam-4987	254	20	infected	infect	VERB
ejpam-4987	254	21	or	or	CCONJ
ejpam-4987	254	22	the	the	DET
ejpam-4987	254	23	duration	duration	NOUN
ejpam-4987	254	24	of	of	ADP
ejpam-4987	254	25	an	an	DET
ejpam-4987	254	26	epidemic	epidemic	NOUN
ejpam-4987	254	27	,	,	PUNCT
ejpam-4987	254	28	as	as	ADV
ejpam-4987	254	29	well	well	ADV
ejpam-4987	254	30	as	as	ADP
ejpam-4987	254	31	to	to	PART
ejpam-4987	254	32	estimate	estimate	VERB
ejpam-4987	254	33	various	various	ADJ
ejpam-4987	254	34	epidemiological	epidemiological	ADJ
ejpam-4987	254	35	parameters	parameter	NOUN
ejpam-4987	254	36	such	such	ADJ
ejpam-4987	254	37	as	as	ADP
ejpam-4987	254	38	the	the	DET
ejpam-4987	254	39	reproduction	reproduction	NOUN
ejpam-4987	254	40	rate	rate	NOUN
ejpam-4987	255	1	[	[	X
ejpam-4987	255	2	1	1	NUM
ejpam-4987	255	3	]	]	PUNCT
ejpam-4987	255	4	,	,	PUNCT
ejpam-4987	255	5	[	[	X
ejpam-4987	255	6	3	3	NUM
ejpam-4987	255	7	]	]	PUNCT
ejpam-4987	255	8	.	.	PUNCT
ejpam-4987	256	1	this	this	DET
ejpam-4987	256	2	section	section	NOUN
ejpam-4987	256	3	is	be	AUX
ejpam-4987	256	4	devoted	devote	VERB
ejpam-4987	256	5	to	to	ADP
ejpam-4987	256	6	the	the	DET
ejpam-4987	256	7	calculation	calculation	NOUN
ejpam-4987	256	8	of	of	ADP
ejpam-4987	256	9	the	the	DET
ejpam-4987	256	10	reproduction	reproduction	NOUN
ejpam-4987	256	11	number	number	NOUN
ejpam-4987	256	12	r0	r0	NOUN
ejpam-4987	256	13	of	of	ADP
ejpam-4987	256	14	our	our	PRON
ejpam-4987	256	15	proposed	propose	VERB
ejpam-4987	256	16	model	model	NOUN
ejpam-4987	256	17	.	.	PUNCT
ejpam-4987	257	1	for	for	ADP
ejpam-4987	257	2	this	this	PRON
ejpam-4987	257	3	we	we	PRON
ejpam-4987	257	4	will	will	AUX
ejpam-4987	257	5	use	use	VERB
ejpam-4987	257	6	the	the	DET
ejpam-4987	257	7	generation	generation	NOUN
ejpam-4987	257	8	matrix	matrix	NOUN
ejpam-4987	257	9	method	method	NOUN
ejpam-4987	257	10	which	which	PRON
ejpam-4987	257	11	was	be	AUX
ejpam-4987	257	12	developed	develop	VERB
ejpam-4987	257	13	by	by	ADP
ejpam-4987	257	14	[	[	X
ejpam-4987	257	15	8	8	NUM
ejpam-4987	257	16	]	]	PUNCT
ejpam-4987	257	17	and	and	CCONJ
ejpam-4987	257	18	then	then	ADV
ejpam-4987	257	19	adopted	adopt	VERB
ejpam-4987	257	20	by	by	ADP
ejpam-4987	257	21	[	[	X
ejpam-4987	257	22	40	40	NUM
ejpam-4987	257	23	]	]	PUNCT
ejpam-4987	257	24	for	for	ADP
ejpam-4987	257	25	finite	finite	ADJ
ejpam-4987	257	26	dimensional	dimensional	ADJ
ejpam-4987	257	27	systems	system	NOUN
ejpam-4987	257	28	.	.	PUNCT
ejpam-4987	258	1	theorem	theorem	NOUN
ejpam-4987	258	2	2	2	NUM
ejpam-4987	258	3	.	.	X
ejpam-4987	258	4	consider	consider	VERB
ejpam-4987	258	5	the	the	DET
ejpam-4987	258	6	system	system	NOUN
ejpam-4987	258	7	(	(	PUNCT
ejpam-4987	258	8	3	3	NUM
ejpam-4987	258	9	)	)	PUNCT
ejpam-4987	258	10	with	with	ADP
ejpam-4987	258	11	the	the	DET
ejpam-4987	258	12	given	give	VERB
ejpam-4987	258	13	parameters	parameter	NOUN
ejpam-4987	258	14	0	0	NUM
ejpam-4987	258	15	≤	≤	NUM
ejpam-4987	258	16	λ	λ	PROPN
ejpam-4987	258	17	,	,	PUNCT
ejpam-4987	258	18	λi	λi	ADP
ejpam-4987	258	19	,	,	PUNCT
ejpam-4987	258	20	λc	λc	NOUN
ejpam-4987	258	21	,	,	PUNCT
ejpam-4987	258	22	µ	µ	NOUN
ejpam-4987	258	23	,	,	PUNCT
ejpam-4987	258	24	p1	p1	NOUN
ejpam-4987	258	25	,	,	PUNCT
ejpam-4987	258	26	p2	p2	NOUN
ejpam-4987	258	27	,	,	PUNCT
ejpam-4987	258	28	µi	µi	PROPN
ejpam-4987	258	29	,	,	PUNCT
ejpam-4987	258	30	µc	µc	PROPN
ejpam-4987	258	31	,	,	PUNCT
ejpam-4987	258	32	δ1	δ1	NOUN
ejpam-4987	258	33	,	,	PUNCT
ejpam-4987	258	34	δ2	δ2	PROPN
ejpam-4987	258	35	,	,	PUNCT
ejpam-4987	258	36	γi	γi	INTJ
ejpam-4987	258	37	,	,	PUNCT
ejpam-4987	258	38	γc	γc	PROPN
ejpam-4987	258	39	≤	≤	NUM
ejpam-4987	259	1	1	1	NUM
ejpam-4987	259	2	0	0	NUM
ejpam-4987	259	3	≤	≤	NOUN
ejpam-4987	259	4	b1,i	b1,i	PROPN
ejpam-4987	259	5	,	,	PUNCT
ejpam-4987	259	6	b2,i	b2,i	PROPN
ejpam-4987	259	7	,	,	PUNCT
ejpam-4987	259	8	b3,i	b3,i	PROPN
ejpam-4987	259	9	≤	≤	ADV
ejpam-4987	259	10	1	1	NUM
ejpam-4987	259	11	for	for	ADP
ejpam-4987	259	12	all	all	DET
ejpam-4987	259	13	1	1	NUM
ejpam-4987	259	14	≤	≤	NUM
ejpam-4987	259	15	i	i	PRON
ejpam-4987	259	16	≤	≤	NOUN
ejpam-4987	259	17	4	4	NUM
ejpam-4987	259	18	,	,	PUNCT
ejpam-4987	259	19	then	then	ADV
ejpam-4987	259	20	,	,	PUNCT
ejpam-4987	259	21	w.-o	w.-o	PROPN
ejpam-4987	259	22	sawadogo	sawadogo	VERB
ejpam-4987	259	23	et	et	PROPN
ejpam-4987	259	24	al	al	PROPN
ejpam-4987	259	25	.	.	PUNCT
ejpam-4987	259	26	/	/	SYM
ejpam-4987	259	27	eur	eur	PROPN
ejpam-4987	259	28	.	.	PUNCT
ejpam-4987	260	1	j.	j.	PROPN
ejpam-4987	260	2	pure	pure	PROPN
ejpam-4987	260	3	appl	appl	PROPN
ejpam-4987	260	4	.	.	PROPN
ejpam-4987	260	5	math	math	PROPN
ejpam-4987	260	6	,	,	PUNCT
ejpam-4987	260	7	17	17	NUM
ejpam-4987	260	8	(	(	PUNCT
ejpam-4987	260	9	1	1	NUM
ejpam-4987	260	10	)	)	PUNCT
ejpam-4987	260	11	(	(	PUNCT
ejpam-4987	260	12	2024	2024	NUM
ejpam-4987	260	13	)	)	PUNCT
ejpam-4987	260	14	,	,	PUNCT
ejpam-4987	260	15	59	59	NUM
ejpam-4987	260	16	-	-	SYM
ejpam-4987	260	17	92	92	NUM
ejpam-4987	260	18	72	72	NUM
ejpam-4987	260	19	(	(	PUNCT
ejpam-4987	260	20	i	i	NOUN
ejpam-4987	260	21	)	)	PUNCT
ejpam-4987	260	22	the	the	DET
ejpam-4987	260	23	disease	disease	NOUN
ejpam-4987	260	24	free	free	ADJ
ejpam-4987	260	25	equilibrium	equilibrium	NOUN
ejpam-4987	260	26	point	point	NOUN
ejpam-4987	260	27	(	(	PUNCT
ejpam-4987	260	28	dfe	dfe	PROPN
ejpam-4987	260	29	)	)	PUNCT
ejpam-4987	260	30	is	be	AUX
ejpam-4987	260	31	x0	x0	PROPN
ejpam-4987	260	32	=	=	PUNCT
ejpam-4987	260	33	(	(	PUNCT
ejpam-4987	260	34	λ	λ	PROPN
ejpam-4987	260	35	µ+	µ+	X
ejpam-4987	260	36	p1	p1	NOUN
ejpam-4987	260	37	,	,	PUNCT
ejpam-4987	260	38	p1λ	p1λ	PROPN
ejpam-4987	260	39	(	(	PUNCT
ejpam-4987	260	40	µ+	µ+	X
ejpam-4987	260	41	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	260	42	p2	p2	NOUN
ejpam-4987	260	43	)	)	PUNCT
ejpam-4987	260	44	,	,	PUNCT
ejpam-4987	260	45	p1p2λ	p1p2λ	X
ejpam-4987	260	46	µ(µ+	µ(µ+	NUM
ejpam-4987	260	47	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	260	48	p2	p2	NOUN
ejpam-4987	260	49	)	)	PUNCT
ejpam-4987	260	50	,	,	PUNCT
ejpam-4987	260	51	0	0	NUM
ejpam-4987	260	52	,	,	PUNCT
ejpam-4987	260	53	0	0	NUM
ejpam-4987	260	54	,	,	PUNCT
ejpam-4987	260	55	0	0	NUM
ejpam-4987	260	56	,	,	PUNCT
ejpam-4987	260	57	0	0	NUM
ejpam-4987	260	58	,	,	PUNCT
ejpam-4987	260	59	0	0	NUM
ejpam-4987	260	60	)	)	PUNCT
ejpam-4987	260	61	,	,	PUNCT
ejpam-4987	260	62	(	(	PUNCT
ejpam-4987	260	63	9	9	NUM
ejpam-4987	260	64	)	)	PUNCT
ejpam-4987	260	65	(	(	PUNCT
ejpam-4987	260	66	ii	ii	NOUN
ejpam-4987	260	67	)	)	PUNCT
ejpam-4987	260	68	the	the	DET
ejpam-4987	260	69	reproduction	reproduction	NOUN
ejpam-4987	260	70	rate	rate	NOUN
ejpam-4987	260	71	is	be	AUX
ejpam-4987	260	72	r0	r0	NOUN
ejpam-4987	260	73	=	=	SYM
ejpam-4987	260	74	η1,1	η1,1	PROPN
ejpam-4987	261	1	+	+	CCONJ
ejpam-4987	261	2	η2,2	η2,2	PROPN
ejpam-4987	261	3	+	+	CCONJ
ejpam-4987	261	4	(	(	PUNCT
ejpam-4987	261	5	(	(	PUNCT
ejpam-4987	261	6	η1,1	η1,1	NOUN
ejpam-4987	261	7	−	−	ADP
ejpam-4987	261	8	η2,2	η2,2	NOUN
ejpam-4987	261	9	)	)	PUNCT
ejpam-4987	261	10	2	2	NUM
ejpam-4987	262	1	+	+	SYM
ejpam-4987	262	2	4η1,2η2,1	4η1,2η2,1	X
ejpam-4987	262	3	)	)	PUNCT
ejpam-4987	262	4	1	1	NUM
ejpam-4987	262	5	2	2	NUM
ejpam-4987	262	6	2	2	NUM
ejpam-4987	262	7	(	(	PUNCT
ejpam-4987	262	8	10	10	NUM
ejpam-4987	262	9	)	)	PUNCT
ejpam-4987	262	10	where	where	SCONJ
ejpam-4987	262	11	η1,1	η1,1	PROPN
ejpam-4987	262	12	,	,	PUNCT
ejpam-4987	262	13	η2,2	η2,2	PROPN
ejpam-4987	262	14	,	,	PUNCT
ejpam-4987	262	15	η1,2	η1,2	PROPN
ejpam-4987	262	16	,	,	PUNCT
ejpam-4987	262	17	η2,1	η2,1	PROPN
ejpam-4987	262	18	are	be	AUX
ejpam-4987	262	19	given	give	VERB
ejpam-4987	262	20	by	by	ADP
ejpam-4987	262	21	(	(	PUNCT
ejpam-4987	262	22	17	17	NUM
ejpam-4987	262	23	)	)	PUNCT
ejpam-4987	262	24	proof	proof	NOUN
ejpam-4987	262	25	.	.	PUNCT
ejpam-4987	263	1	here	here	ADV
ejpam-4987	263	2	,	,	PUNCT
ejpam-4987	263	3	we	we	PRON
ejpam-4987	263	4	consider	consider	VERB
ejpam-4987	263	5	the	the	DET
ejpam-4987	263	6	proposed	propose	VERB
ejpam-4987	263	7	mathematical	mathematical	ADJ
ejpam-4987	263	8	model	model	NOUN
ejpam-4987	263	9	(	(	PUNCT
ejpam-4987	263	10	3	3	NUM
ejpam-4987	263	11	)	)	PUNCT
ejpam-4987	263	12	with	with	ADP
ejpam-4987	263	13	eight	eight	NUM
ejpam-4987	263	14	homogeneous	homogeneous	ADJ
ejpam-4987	263	15	compartments	compartment	NOUN
ejpam-4987	263	16	.	.	PUNCT
ejpam-4987	264	1	this	this	DET
ejpam-4987	264	2	model	model	NOUN
ejpam-4987	264	3	can	can	AUX
ejpam-4987	264	4	be	be	AUX
ejpam-4987	264	5	written	write	VERB
ejpam-4987	264	6	as	as	ADP
ejpam-4987	264	7	d	d	PROPN
ejpam-4987	264	8	dt	dt	PROPN
ejpam-4987	264	9	(	(	PUNCT
ejpam-4987	264	10	s1	s1	PROPN
ejpam-4987	264	11	,	,	PUNCT
ejpam-4987	264	12	s2	s2	PROPN
ejpam-4987	264	13	,	,	PUNCT
ejpam-4987	264	14	s3	s3	PROPN
ejpam-4987	264	15	,	,	PUNCT
ejpam-4987	264	16	ei	ei	PROPN
ejpam-4987	264	17	,	,	PUNCT
ejpam-4987	264	18	ec	ec	PROPN
ejpam-4987	264	19	,	,	PUNCT
ejpam-4987	264	20	i	i	PRON
ejpam-4987	264	21	,	,	PUNCT
ejpam-4987	264	22	c	c	X
ejpam-4987	264	23	,	,	PUNCT
ejpam-4987	264	24	r	r	NOUN
ejpam-4987	264	25	)	)	PUNCT
ejpam-4987	264	26	=	=	SYM
ejpam-4987	264	27	f	f	PROPN
ejpam-4987	264	28	(	(	PUNCT
ejpam-4987	264	29	s1	s1	PROPN
ejpam-4987	264	30	,	,	PUNCT
ejpam-4987	264	31	s2	s2	PROPN
ejpam-4987	264	32	,	,	PUNCT
ejpam-4987	264	33	s3	s3	PROPN
ejpam-4987	264	34	,	,	PUNCT
ejpam-4987	264	35	ei	ei	PROPN
ejpam-4987	264	36	,	,	PUNCT
ejpam-4987	264	37	ec	ec	PROPN
ejpam-4987	264	38	,	,	PUNCT
ejpam-4987	264	39	i	i	PRON
ejpam-4987	264	40	,	,	PUNCT
ejpam-4987	264	41	c	c	X
ejpam-4987	264	42	,	,	PUNCT
ejpam-4987	264	43	r	r	NOUN
ejpam-4987	264	44	)	)	PUNCT
ejpam-4987	264	45	.	.	PUNCT
ejpam-4987	265	1	where	where	SCONJ
ejpam-4987	265	2	f	f	PROPN
ejpam-4987	265	3	is	be	AUX
ejpam-4987	265	4	defined	define	VERB
ejpam-4987	265	5	by	by	ADP
ejpam-4987	265	6	(	(	PUNCT
ejpam-4987	265	7	5	5	NUM
ejpam-4987	265	8	)	)	PUNCT
ejpam-4987	265	9	.	.	PUNCT
ejpam-4987	266	1	the	the	DET
ejpam-4987	266	2	point	point	NOUN
ejpam-4987	266	3	x0	x0	PROPN
ejpam-4987	266	4	defined	define	VERB
ejpam-4987	266	5	by	by	ADP
ejpam-4987	266	6	(	(	PUNCT
ejpam-4987	266	7	9	9	X
ejpam-4987	266	8	)	)	PUNCT
ejpam-4987	266	9	satisfies	satisfie	NOUN
ejpam-4987	266	10	f	f	PROPN
ejpam-4987	266	11	(	(	PUNCT
ejpam-4987	266	12	x0	x0	PROPN
ejpam-4987	266	13	)	)	PUNCT
ejpam-4987	267	1	=	=	SYM
ejpam-4987	267	2	0	0	X
ejpam-4987	267	3	.	.	PUNCT
ejpam-4987	267	4	infected	infected	ADJ
ejpam-4987	267	5	and	and	CCONJ
ejpam-4987	267	6	chronic	chronic	ADJ
ejpam-4987	267	7	exposed	expose	VERB
ejpam-4987	267	8	are	be	AUX
ejpam-4987	267	9	infected	infect	VERB
ejpam-4987	267	10	but	but	CCONJ
ejpam-4987	267	11	not	not	PART
ejpam-4987	267	12	infectious	infectious	ADJ
ejpam-4987	267	13	,	,	PUNCT
ejpam-4987	267	14	so	so	SCONJ
ejpam-4987	267	15	they	they	PRON
ejpam-4987	267	16	do	do	AUX
ejpam-4987	267	17	not	not	PART
ejpam-4987	267	18	participate	participate	VERB
ejpam-4987	267	19	in	in	ADP
ejpam-4987	267	20	the	the	DET
ejpam-4987	267	21	transmission	transmission	NOUN
ejpam-4987	267	22	of	of	ADP
ejpam-4987	267	23	the	the	DET
ejpam-4987	267	24	virus	virus	NOUN
ejpam-4987	267	25	.	.	PUNCT
ejpam-4987	268	1	thus	thus	ADV
ejpam-4987	268	2	bk,1	bk,1	NOUN
ejpam-4987	268	3	=	=	SYM
ejpam-4987	268	4	bk,2	bk,2	NOUN
ejpam-4987	268	5	=	=	SYM
ejpam-4987	268	6	0	0	NUM
ejpam-4987	268	7	;	;	PUNCT
ejpam-4987	268	8	k	k	PROPN
ejpam-4987	268	9	=	=	SYM
ejpam-4987	268	10	1	1	NUM
ejpam-4987	268	11	,	,	PUNCT
ejpam-4987	268	12	2	2	NUM
ejpam-4987	268	13	,	,	PUNCT
ejpam-4987	268	14	3	3	NUM
ejpam-4987	268	15	.	.	PUNCT
ejpam-4987	268	16	to	to	PART
ejpam-4987	268	17	compute	compute	VERB
ejpam-4987	268	18	the	the	DET
ejpam-4987	268	19	reproduction	reproduction	NOUN
ejpam-4987	268	20	rate	rate	NOUN
ejpam-4987	268	21	r0	r0	NOUN
ejpam-4987	268	22	,	,	PUNCT
ejpam-4987	268	23	one	one	PRON
ejpam-4987	268	24	must	must	AUX
ejpam-4987	268	25	consider	consider	VERB
ejpam-4987	268	26	only	only	ADV
ejpam-4987	268	27	the	the	DET
ejpam-4987	268	28	infected	infected	ADJ
ejpam-4987	268	29	and	and	CCONJ
ejpam-4987	268	30	infectious	infectious	ADJ
ejpam-4987	268	31	compartments	compartment	NOUN
ejpam-4987	268	32	that	that	PRON
ejpam-4987	268	33	satisfy	satisfy	VERB
ejpam-4987	268	34	the	the	DET
ejpam-4987	268	35	following	follow	VERB
ejpam-4987	268	36	fourth	fourth	ADJ
ejpam-4987	268	37	-	-	PUNCT
ejpam-4987	268	38	order	order	NOUN
ejpam-4987	268	39	system	system	NOUN
ejpam-4987	268	40	:	:	PUNCT
ejpam-4987	269	1	d	d	X
ejpam-4987	269	2	dt	dt	X
ejpam-4987	269	3			NOUN
ejpam-4987	269	4	ei	ei	X
ejpam-4987	269	5	ec	ec	PROPN
ejpam-4987	270	1	i	i	PRON
ejpam-4987	270	2	c	c	NOUN
ejpam-4987	270	3			NOUN
ejpam-4987	271	1	=	=	PUNCT
ejpam-4987	272	1			PROPN
ejpam-4987	273	1	α1s1(b1,3i+	α1s1(b1,3i+	PROPN
ejpam-4987	273	2	b1,4c	b1,4c	PROPN
ejpam-4987	273	3	)	)	PUNCT
ejpam-4987	274	1	+	+	CCONJ
ejpam-4987	274	2	α2s2(b2,3i+	α2s2(b2,3i+	PROPN
ejpam-4987	274	3	b2,4c	b2,4c	NUM
ejpam-4987	274	4	)	)	PUNCT
ejpam-4987	275	1	+	+	CCONJ
ejpam-4987	275	2	α3s3(b3,3i+	α3s3(b3,3i+	PROPN
ejpam-4987	275	3	b3,4c)−	b3,4c)−	NOUN
ejpam-4987	275	4	µei	µei	ADP
ejpam-4987	275	5	−	−	PROPN
ejpam-4987	275	6	δ1ei	δ1ei	X
ejpam-4987	276	1	+	+	NUM
ejpam-4987	276	2	iλi	iλi	PROPN
ejpam-4987	276	3	(	(	PUNCT
ejpam-4987	276	4	1−	1−	NUM
ejpam-4987	276	5	α1)s1(b1,3i+	α1)s1(b1,3i+	NUM
ejpam-4987	276	6	b1,4c	b1,4c	PROPN
ejpam-4987	276	7	)	)	PUNCT
ejpam-4987	276	8	+	+	CCONJ
ejpam-4987	276	9	(	(	PUNCT
ejpam-4987	276	10	1−	1−	NUM
ejpam-4987	276	11	α2)s2(b2,3i+	α2)s2(b2,3i+	NUM
ejpam-4987	276	12	b2,4c	b2,4c	NUM
ejpam-4987	276	13	)	)	PUNCT
ejpam-4987	276	14	+	+	CCONJ
ejpam-4987	276	15	(	(	PUNCT
ejpam-4987	276	16	1−	1−	NUM
ejpam-4987	276	17	α3)s3(b3,3i+	α3)s3(b3,3i+	NUM
ejpam-4987	276	18	b3,4c	b3,4c	PROPN
ejpam-4987	276	19	)	)	PUNCT
ejpam-4987	277	1	+	+	NUM
ejpam-4987	277	2	cλc	cλc	NOUN
ejpam-4987	277	3	−	−	PROPN
ejpam-4987	277	4	µec	µec	NOUN
ejpam-4987	277	5	−	−	NOUN
ejpam-4987	277	6	δ2ec	δ2ec	X
ejpam-4987	277	7	δ1ei	δ1ei	X
ejpam-4987	277	8	−	−	PUNCT
ejpam-4987	277	9	µi−	µi−	PUNCT
ejpam-4987	277	10	γii−	γii−	PROPN
ejpam-4987	277	11	µii	µii	NOUN
ejpam-4987	277	12	δ2ec	δ2ec	X
ejpam-4987	277	13	−	−	PROPN
ejpam-4987	277	14	µc−	µc−	PUNCT
ejpam-4987	277	15	γcc−	γcc−	PROPN
ejpam-4987	277	16	µcc	µcc	VERB
ejpam-4987	277	17			NOUN
ejpam-4987	277	18	.	.	PUNCT
ejpam-4987	278	1	the	the	DET
ejpam-4987	278	2	rate	rate	NOUN
ejpam-4987	278	3	of	of	ADP
ejpam-4987	278	4	occurrence	occurrence	NOUN
ejpam-4987	278	5	of	of	ADP
ejpam-4987	278	6	new	new	ADJ
ejpam-4987	278	7	infection	infection	NOUN
ejpam-4987	278	8	in	in	ADP
ejpam-4987	278	9	the	the	DET
ejpam-4987	278	10	four	four	NUM
ejpam-4987	278	11	compartments	compartment	NOUN
ejpam-4987	278	12	(	(	PUNCT
ejpam-4987	278	13	ei	ei	X
ejpam-4987	278	14	,	,	PUNCT
ejpam-4987	278	15	ec	ec	PROPN
ejpam-4987	278	16	,	,	PUNCT
ejpam-4987	278	17	i	i	PRON
ejpam-4987	278	18	,	,	PUNCT
ejpam-4987	278	19	c	c	X
ejpam-4987	278	20	)	)	PUNCT
ejpam-4987	278	21	is	be	AUX
ejpam-4987	278	22	represented	represent	VERB
ejpam-4987	278	23	by	by	ADP
ejpam-4987	278	24	the	the	DET
ejpam-4987	278	25	vector	vector	NOUN
ejpam-4987	278	26	u	u	NOUN
ejpam-4987	278	27	as	as	SCONJ
ejpam-4987	278	28	follows	follow	VERB
ejpam-4987	278	29	u	u	NOUN
ejpam-4987	278	30	=	=	NOUN
ejpam-4987	279	1			PROPN
ejpam-4987	279	2	α1s1(b1,3i+	α1s1(b1,3i+	PROPN
ejpam-4987	279	3	b1,4c	b1,4c	PROPN
ejpam-4987	279	4	)	)	PUNCT
ejpam-4987	280	1	+	+	CCONJ
ejpam-4987	280	2	α2s2(b2,3i+	α2s2(b2,3i+	PROPN
ejpam-4987	280	3	b2,4c	b2,4c	NUM
ejpam-4987	280	4	)	)	PUNCT
ejpam-4987	280	5	+	+	CCONJ
ejpam-4987	280	6	α3s3(b3,3i+	α3s3(b3,3i+	PROPN
ejpam-4987	280	7	b3,4c	b3,4c	PROPN
ejpam-4987	280	8	)	)	PUNCT
ejpam-4987	281	1	+	+	CCONJ
ejpam-4987	281	2	λii	λii	NOUN
ejpam-4987	281	3	(	(	PUNCT
ejpam-4987	281	4	1−	1−	NUM
ejpam-4987	281	5	α1)s1(b1,3i+	α1)s1(b1,3i+	NUM
ejpam-4987	281	6	b1,4c	b1,4c	PROPN
ejpam-4987	281	7	)	)	PUNCT
ejpam-4987	281	8	+	+	CCONJ
ejpam-4987	281	9	(	(	PUNCT
ejpam-4987	281	10	1−	1−	NUM
ejpam-4987	281	11	α2)s2(b2,3i+	α2)s2(b2,3i+	NUM
ejpam-4987	281	12	b2,4c	b2,4c	NUM
ejpam-4987	281	13	)	)	PUNCT
ejpam-4987	281	14	+	+	CCONJ
ejpam-4987	281	15	(	(	PUNCT
ejpam-4987	281	16	1−	1−	NUM
ejpam-4987	281	17	α3)s3(b3,3i+	α3)s3(b3,3i+	NUM
ejpam-4987	281	18	b3,4c	b3,4c	PROPN
ejpam-4987	281	19	)	)	PUNCT
ejpam-4987	282	1	+	+	CCONJ
ejpam-4987	283	1	λcc	λcc	ADV
ejpam-4987	283	2	0	0	NUM
ejpam-4987	283	3	0	0	NUM
ejpam-4987	283	4			PRON
ejpam-4987	283	5	(	(	PUNCT
ejpam-4987	283	6	11	11	NUM
ejpam-4987	283	7	)	)	PUNCT
ejpam-4987	283	8	w.-o	w.-o	NOUN
ejpam-4987	283	9	sawadogo	sawadogo	VERB
ejpam-4987	283	10	et	et	PROPN
ejpam-4987	283	11	al	al	PROPN
ejpam-4987	283	12	.	.	PUNCT
ejpam-4987	283	13	/	/	SYM
ejpam-4987	283	14	eur	eur	PROPN
ejpam-4987	283	15	.	.	PUNCT
ejpam-4987	284	1	j.	j.	PROPN
ejpam-4987	284	2	pure	pure	PROPN
ejpam-4987	284	3	appl	appl	PROPN
ejpam-4987	284	4	.	.	PROPN
ejpam-4987	284	5	math	math	PROPN
ejpam-4987	284	6	,	,	PUNCT
ejpam-4987	284	7	17	17	NUM
ejpam-4987	284	8	(	(	PUNCT
ejpam-4987	284	9	1	1	NUM
ejpam-4987	284	10	)	)	PUNCT
ejpam-4987	284	11	(	(	PUNCT
ejpam-4987	284	12	2024	2024	NUM
ejpam-4987	284	13	)	)	PUNCT
ejpam-4987	284	14	,	,	PUNCT
ejpam-4987	284	15	59	59	NUM
ejpam-4987	284	16	-	-	SYM
ejpam-4987	284	17	92	92	NUM
ejpam-4987	284	18	73	73	NUM
ejpam-4987	284	19	and	and	CCONJ
ejpam-4987	284	20	the	the	DET
ejpam-4987	284	21	transfer	transfer	NOUN
ejpam-4987	284	22	rate	rate	NOUN
ejpam-4987	284	23	of	of	ADP
ejpam-4987	284	24	individuals	individual	NOUN
ejpam-4987	284	25	into	into	ADP
ejpam-4987	284	26	and	and	CCONJ
ejpam-4987	284	27	out	out	ADP
ejpam-4987	284	28	of	of	ADP
ejpam-4987	284	29	the	the	DET
ejpam-4987	284	30	infected	infect	VERB
ejpam-4987	284	31	compartments	compartment	NOUN
ejpam-4987	284	32	is	be	AUX
ejpam-4987	284	33	given	give	VERB
ejpam-4987	284	34	by	by	ADP
ejpam-4987	284	35	the	the	DET
ejpam-4987	284	36	vector	vector	NOUN
ejpam-4987	284	37	t	t	PROPN
ejpam-4987	284	38	t	t	PROPN
ejpam-4987	284	39	=	=	SYM
ejpam-4987	284	40			PROPN
ejpam-4987	284	41	µei	µei	ADV
ejpam-4987	284	42	+	+	X
ejpam-4987	284	43	δ1ei	δ1ei	PROPN
ejpam-4987	284	44	µec	µec	PROPN
ejpam-4987	284	45	+	+	CCONJ
ejpam-4987	284	46	δ2ec	δ2ec	PUNCT
ejpam-4987	284	47	−δ1ei	−δ1ei	NUM
ejpam-4987	284	48	+	+	CCONJ
ejpam-4987	284	49	µi+	µi+	NOUN
ejpam-4987	284	50	γii+	γii+	ADP
ejpam-4987	284	51	µii	µii	NOUN
ejpam-4987	284	52	−δ2ec	−δ2ec	NOUN
ejpam-4987	284	53	+	+	CCONJ
ejpam-4987	284	54	µc+	µc+	ADJ
ejpam-4987	284	55	γcc+	γcc+	PROPN
ejpam-4987	284	56	µcc	µcc	PROPN
ejpam-4987	284	57			NOUN
ejpam-4987	284	58	(	(	PUNCT
ejpam-4987	284	59	12	12	NUM
ejpam-4987	284	60	)	)	PUNCT
ejpam-4987	284	61	thus	thus	ADV
ejpam-4987	284	62	,	,	PUNCT
ejpam-4987	284	63	all	all	DET
ejpam-4987	284	64	the	the	DET
ejpam-4987	284	65	epidemiological	epidemiological	ADJ
ejpam-4987	284	66	events	event	NOUN
ejpam-4987	284	67	leading	lead	VERB
ejpam-4987	284	68	to	to	ADP
ejpam-4987	284	69	new	new	ADJ
ejpam-4987	284	70	infections	infection	NOUN
ejpam-4987	284	71	are	be	AUX
ejpam-4987	284	72	incorporated	incorporate	VERB
ejpam-4987	284	73	into	into	ADP
ejpam-4987	284	74	the	the	DET
ejpam-4987	284	75	model	model	NOUN
ejpam-4987	284	76	via	via	ADP
ejpam-4987	284	77	the	the	DET
ejpam-4987	284	78	matrix	matrix	NOUN
ejpam-4987	284	79	θ	θ	NOUN
ejpam-4987	284	80	,	,	PUNCT
ejpam-4987	284	81	while	while	SCONJ
ejpam-4987	284	82	all	all	DET
ejpam-4987	284	83	the	the	DET
ejpam-4987	284	84	other	other	ADJ
ejpam-4987	284	85	events	event	NOUN
ejpam-4987	284	86	are	be	AUX
ejpam-4987	284	87	included	include	VERB
ejpam-4987	284	88	in	in	ADP
ejpam-4987	284	89	the	the	DET
ejpam-4987	284	90	matrix	matrix	NOUN
ejpam-4987	284	91	γ	γ	PROPN
ejpam-4987	284	92	.	.	PROPN
ejpam-4987	284	93	progression	progression	NOUN
ejpam-4987	284	94	to	to	ADP
ejpam-4987	284	95	either	either	DET
ejpam-4987	284	96	death	death	NOUN
ejpam-4987	284	97	or	or	CCONJ
ejpam-4987	284	98	immunity	immunity	NOUN
ejpam-4987	284	99	ensures	ensure	VERB
ejpam-4987	284	100	that	that	SCONJ
ejpam-4987	284	101	γ	γ	NOUN
ejpam-4987	284	102	is	be	AUX
ejpam-4987	284	103	invertible	invertible	ADJ
ejpam-4987	284	104	.	.	PUNCT
ejpam-4987	285	1	by	by	ADP
ejpam-4987	285	2	substituting	substitute	VERB
ejpam-4987	285	3	the	the	DET
ejpam-4987	285	4	variables	variable	NOUN
ejpam-4987	285	5	(	(	PUNCT
ejpam-4987	285	6	s1	s1	NOUN
ejpam-4987	285	7	,	,	PUNCT
ejpam-4987	285	8	s2	s2	PROPN
ejpam-4987	285	9	,	,	PUNCT
ejpam-4987	285	10	s3	s3	PROPN
ejpam-4987	285	11	)	)	PUNCT
ejpam-4987	285	12	with	with	ADP
ejpam-4987	285	13	the	the	DET
ejpam-4987	285	14	free	free	ADJ
ejpam-4987	285	15	equilibrium	equilibrium	NOUN
ejpam-4987	285	16	point	point	NOUN
ejpam-4987	285	17	x0	x0	PROPN
ejpam-4987	285	18	,	,	PUNCT
ejpam-4987	285	19	we	we	PRON
ejpam-4987	285	20	obtain	obtain	VERB
ejpam-4987	285	21	the	the	DET
ejpam-4987	285	22	two	two	NUM
ejpam-4987	285	23	matrices	matrix	NOUN
ejpam-4987	285	24	θ	θ	PROPN
ejpam-4987	285	25	and	and	CCONJ
ejpam-4987	285	26	γ	γ	NOUN
ejpam-4987	285	27	which	which	PRON
ejpam-4987	285	28	are	be	AUX
ejpam-4987	285	29	expressed	express	VERB
ejpam-4987	285	30	as	as	SCONJ
ejpam-4987	285	31	follows	follow	VERB
ejpam-4987	285	32	:	:	PUNCT
ejpam-4987	285	33	θ	θ	X
ejpam-4987	285	34	=	=	SYM
ejpam-4987	285	35			NOUN
ejpam-4987	285	36	0	0	NUM
ejpam-4987	285	37	0	0	NUM
ejpam-4987	286	1	θ1,3	θ1,3	PROPN
ejpam-4987	286	2	θ1,4	θ1,4	PROPN
ejpam-4987	286	3	0	0	NUM
ejpam-4987	286	4	0	0	NUM
ejpam-4987	287	1	θ2,3	θ2,3	ADJ
ejpam-4987	287	2	θ2,4	θ2,4	PROPN
ejpam-4987	287	3	0	0	NUM
ejpam-4987	287	4	0	0	NUM
ejpam-4987	287	5	0	0	NUM
ejpam-4987	287	6	0	0	NUM
ejpam-4987	287	7	0	0	NUM
ejpam-4987	287	8	0	0	NUM
ejpam-4987	287	9	0	0	NUM
ejpam-4987	287	10	0	0	NUM
ejpam-4987	287	11			NUM
ejpam-4987	287	12	(	(	PUNCT
ejpam-4987	287	13	13	13	NUM
ejpam-4987	287	14	)	)	PUNCT
ejpam-4987	288	1	where	where	SCONJ
ejpam-4987	288	2	θ1,3	θ1,3	PROPN
ejpam-4987	288	3	=	=	PUNCT
ejpam-4987	288	4	[	[	PUNCT
ejpam-4987	288	5	α1b1,3	α1b1,3	PROPN
ejpam-4987	288	6	+	+	SYM
ejpam-4987	288	7	α2b2,3	α2b2,3	PROPN
ejpam-4987	288	8	p1	p1	NOUN
ejpam-4987	288	9	µ+	µ+	PUNCT
ejpam-4987	288	10	p2	p2	PROPN
ejpam-4987	288	11	+	+	CCONJ
ejpam-4987	288	12	α3b3,3	α3b3,3	NUM
ejpam-4987	288	13	p1p2	p1p2	NOUN
ejpam-4987	288	14	µ(µ+	µ(µ+	VERB
ejpam-4987	288	15	p2	p2	NOUN
ejpam-4987	288	16	)	)	PUNCT
ejpam-4987	288	17	]	]	PUNCT
ejpam-4987	289	1	λ	λ	X
ejpam-4987	289	2	µ+	µ+	X
ejpam-4987	289	3	p1	p1	PROPN
ejpam-4987	289	4	+	+	CCONJ
ejpam-4987	289	5	λi	λi	X
ejpam-4987	289	6	θ1,3	θ1,3	PROPN
ejpam-4987	289	7	=	=	PUNCT
ejpam-4987	289	8	[	[	PUNCT
ejpam-4987	289	9	α1b1,4	α1b1,4	PROPN
ejpam-4987	289	10	+	+	CCONJ
ejpam-4987	289	11	α2b2,4	α2b2,4	PROPN
ejpam-4987	289	12	p1	p1	NOUN
ejpam-4987	289	13	µ+	µ+	PUNCT
ejpam-4987	289	14	p2	p2	PROPN
ejpam-4987	289	15	+	+	CCONJ
ejpam-4987	289	16	α3b3,4	α3b3,4	NUM
ejpam-4987	289	17	p1p2	p1p2	NOUN
ejpam-4987	289	18	µ(µ+	µ(µ+	X
ejpam-4987	289	19	p2	p2	NOUN
ejpam-4987	289	20	)	)	PUNCT
ejpam-4987	289	21	]	]	PUNCT
ejpam-4987	290	1	λ	λ	X
ejpam-4987	290	2	µ+	µ+	PUNCT
ejpam-4987	290	3	p1	p1	PROPN
ejpam-4987	290	4	θ2,3	θ2,3	PRON
ejpam-4987	290	5	=	=	PUNCT
ejpam-4987	290	6	[	[	PUNCT
ejpam-4987	290	7	(	(	PUNCT
ejpam-4987	290	8	1−	1−	NUM
ejpam-4987	290	9	α1)β1,3	α1)β1,3	PROPN
ejpam-4987	290	10	+	+	CCONJ
ejpam-4987	290	11	(	(	PUNCT
ejpam-4987	290	12	1−	1−	NUM
ejpam-4987	290	13	α2)b2,3	α2)b2,3	PROPN
ejpam-4987	290	14	p1	p1	NOUN
ejpam-4987	290	15	µ+	µ+	PUNCT
ejpam-4987	290	16	p2	p2	PROPN
ejpam-4987	290	17	+	+	CCONJ
ejpam-4987	290	18	(	(	PUNCT
ejpam-4987	290	19	1−	1−	NUM
ejpam-4987	290	20	α3)b3,3	α3)b3,3	PRON
ejpam-4987	290	21	p1p2	p1p2	X
ejpam-4987	290	22	µ(µ+	µ(µ+	VERB
ejpam-4987	290	23	p2	p2	NOUN
ejpam-4987	290	24	)	)	PUNCT
ejpam-4987	290	25	]	]	PUNCT
ejpam-4987	291	1	λ	λ	X
ejpam-4987	291	2	µ+	µ+	PUNCT
ejpam-4987	291	3	p1	p1	PROPN
ejpam-4987	291	4	θ2,4	θ2,4	PROPN
ejpam-4987	292	1	=	=	PUNCT
ejpam-4987	293	1	[	[	PUNCT
ejpam-4987	294	1	(	(	PUNCT
ejpam-4987	294	2	1−	1−	NUM
ejpam-4987	294	3	α1)b1,4	α1)b1,4	PROPN
ejpam-4987	294	4	+	+	CCONJ
ejpam-4987	294	5	(	(	PUNCT
ejpam-4987	294	6	1−	1−	NUM
ejpam-4987	294	7	α2)b2,4	α2)b2,4	PROPN
ejpam-4987	294	8	p1	p1	PROPN
ejpam-4987	294	9	µ+	µ+	PUNCT
ejpam-4987	294	10	p2	p2	PROPN
ejpam-4987	294	11	+	+	CCONJ
ejpam-4987	294	12	(	(	PUNCT
ejpam-4987	294	13	1−	1−	NUM
ejpam-4987	294	14	α3)b3,4	α3)b3,4	NUM
ejpam-4987	294	15	p1p2	p1p2	PROPN
ejpam-4987	294	16	µ(µ+	µ(µ+	X
ejpam-4987	294	17	p2	p2	NOUN
ejpam-4987	294	18	)	)	PUNCT
ejpam-4987	294	19	]	]	PUNCT
ejpam-4987	295	1	λ	λ	X
ejpam-4987	295	2	µ+	µ+	X
ejpam-4987	295	3	p1	p1	PROPN
ejpam-4987	295	4	+	+	CCONJ
ejpam-4987	295	5	λc	λc	X
ejpam-4987	295	6	γ	γ	X
ejpam-4987	295	7	=	=	PUNCT
ejpam-4987	295	8			NOUN
ejpam-4987	295	9	µ+	µ+	X
ejpam-4987	295	10	δ1	δ1	NOUN
ejpam-4987	295	11	0	0	NUM
ejpam-4987	295	12	0	0	NUM
ejpam-4987	295	13	0	0	NUM
ejpam-4987	295	14	0	0	NUM
ejpam-4987	295	15	µ+	µ+	PUNCT
ejpam-4987	295	16	δ2	δ2	VERB
ejpam-4987	295	17	0	0	NUM
ejpam-4987	295	18	0	0	NUM
ejpam-4987	295	19	−δ1	−δ1	PROPN
ejpam-4987	295	20	0	0	NUM
ejpam-4987	295	21	µ+	µ+	PUNCT
ejpam-4987	295	22	γi	γi	X
ejpam-4987	296	1	+	+	CCONJ
ejpam-4987	296	2	µi	µi	PROPN
ejpam-4987	296	3	0	0	NUM
ejpam-4987	296	4	0	0	NUM
ejpam-4987	296	5	−δ2	−δ2	NUM
ejpam-4987	296	6	0	0	NUM
ejpam-4987	296	7	µ+	µ+	PUNCT
ejpam-4987	296	8	γc	γc	X
ejpam-4987	296	9	+	+	CCONJ
ejpam-4987	296	10	µc	µc	INTJ
ejpam-4987	296	11			NUM
ejpam-4987	296	12	(	(	PUNCT
ejpam-4987	296	13	14	14	NUM
ejpam-4987	296	14	)	)	PUNCT
ejpam-4987	296	15	by	by	ADP
ejpam-4987	296	16	calculating	calculate	VERB
ejpam-4987	296	17	γ−1	γ−1	PROPN
ejpam-4987	296	18	,	,	PUNCT
ejpam-4987	296	19	we	we	PRON
ejpam-4987	296	20	obtain	obtain	VERB
ejpam-4987	296	21	:	:	PUNCT
ejpam-4987	296	22	w.-o	w.-o	PROPN
ejpam-4987	296	23	sawadogo	sawadogo	VERB
ejpam-4987	296	24	et	et	PROPN
ejpam-4987	296	25	al	al	PROPN
ejpam-4987	296	26	.	.	PUNCT
ejpam-4987	296	27	/	/	SYM
ejpam-4987	296	28	eur	eur	PROPN
ejpam-4987	296	29	.	.	PUNCT
ejpam-4987	297	1	j.	j.	PROPN
ejpam-4987	297	2	pure	pure	PROPN
ejpam-4987	297	3	appl	appl	PROPN
ejpam-4987	297	4	.	.	PROPN
ejpam-4987	297	5	math	math	PROPN
ejpam-4987	297	6	,	,	PUNCT
ejpam-4987	297	7	17	17	NUM
ejpam-4987	297	8	(	(	PUNCT
ejpam-4987	297	9	1	1	NUM
ejpam-4987	297	10	)	)	PUNCT
ejpam-4987	297	11	(	(	PUNCT
ejpam-4987	297	12	2024	2024	NUM
ejpam-4987	297	13	)	)	PUNCT
ejpam-4987	297	14	,	,	PUNCT
ejpam-4987	297	15	59	59	NUM
ejpam-4987	297	16	-	-	SYM
ejpam-4987	297	17	92	92	NUM
ejpam-4987	297	18	74	74	NUM
ejpam-4987	297	19	γ−1	γ−1	ADJ
ejpam-4987	297	20	=	=	PUNCT
ejpam-4987	297	21			NOUN
ejpam-4987	297	22	1	1	NUM
ejpam-4987	297	23	µ+	µ+	X
ejpam-4987	297	24	δ1	δ1	NOUN
ejpam-4987	297	25	0	0	NUM
ejpam-4987	297	26	0	0	NUM
ejpam-4987	297	27	0	0	NUM
ejpam-4987	297	28	0	0	NUM
ejpam-4987	297	29	1	1	NUM
ejpam-4987	297	30	µ+	µ+	PRON
ejpam-4987	297	31	δ2	δ2	VERB
ejpam-4987	297	32	0	0	NUM
ejpam-4987	297	33	0	0	NUM
ejpam-4987	297	34	δ1	δ1	NOUN
ejpam-4987	297	35	(	(	PUNCT
ejpam-4987	297	36	µ+	µ+	X
ejpam-4987	297	37	γi	γi	X
ejpam-4987	297	38	+	+	CCONJ
ejpam-4987	297	39	µi)(µ+	µi)(µ+	PROPN
ejpam-4987	297	40	δ1	δ1	NOUN
ejpam-4987	297	41	)	)	PUNCT
ejpam-4987	297	42	0	0	NUM
ejpam-4987	297	43	1	1	NUM
ejpam-4987	297	44	µ+	µ+	X
ejpam-4987	297	45	γi	γi	X
ejpam-4987	298	1	+	+	CCONJ
ejpam-4987	298	2	µi	µi	PROPN
ejpam-4987	298	3	0	0	NUM
ejpam-4987	298	4	0	0	NUM
ejpam-4987	298	5	δ2	δ2	VERB
ejpam-4987	298	6	(	(	PUNCT
ejpam-4987	298	7	µ+	µ+	X
ejpam-4987	298	8	γc	γc	X
ejpam-4987	298	9	+	+	CCONJ
ejpam-4987	298	10	µc)(µ+	µc)(µ+	PROPN
ejpam-4987	298	11	δ2	δ2	ADJ
ejpam-4987	298	12	)	)	PUNCT
ejpam-4987	298	13	0	0	NUM
ejpam-4987	298	14	1	1	NUM
ejpam-4987	298	15	µ+	µ+	X
ejpam-4987	298	16	γc	γc	PROPN
ejpam-4987	298	17	+	+	CCONJ
ejpam-4987	298	18	µc	µc	PROPN
ejpam-4987	298	19			NUM
ejpam-4987	298	20	(	(	PUNCT
ejpam-4987	298	21	15	15	NUM
ejpam-4987	298	22	)	)	PUNCT
ejpam-4987	298	23	we	we	PRON
ejpam-4987	298	24	calculate	calculate	VERB
ejpam-4987	298	25	the	the	DET
ejpam-4987	298	26	matrix	matrix	NOUN
ejpam-4987	298	27	of	of	ADP
ejpam-4987	298	28	the	the	DET
ejpam-4987	298	29	new	new	ADJ
ejpam-4987	298	30	generation	generation	NOUN
ejpam-4987	298	31	,	,	PUNCT
ejpam-4987	298	32	we	we	PRON
ejpam-4987	298	33	obtain	obtain	VERB
ejpam-4987	298	34	:	:	PUNCT
ejpam-4987	298	35	θγ−1	θγ−1	ADJ
ejpam-4987	298	36	=	=	PUNCT
ejpam-4987	298	37			NOUN
ejpam-4987	298	38	η1,1	η1,1	PROPN
ejpam-4987	298	39	η1,2	η1,2	PROPN
ejpam-4987	298	40	η1,3	η1,3	PROPN
ejpam-4987	298	41	η1,4	η1,4	ADV
ejpam-4987	298	42	η2,1	η2,1	ADJ
ejpam-4987	298	43	η2,2	η2,2	PROPN
ejpam-4987	298	44	η2,3	η2,3	NOUN
ejpam-4987	298	45	η2,4	η2,4	NOUN
ejpam-4987	298	46	0	0	NUM
ejpam-4987	298	47	0	0	NUM
ejpam-4987	298	48	0	0	NUM
ejpam-4987	298	49	0	0	NUM
ejpam-4987	298	50	0	0	NUM
ejpam-4987	298	51	0	0	NUM
ejpam-4987	298	52	0	0	NUM
ejpam-4987	298	53	0	0	NUM
ejpam-4987	298	54			NUM
ejpam-4987	298	55	(	(	PUNCT
ejpam-4987	298	56	16	16	NUM
ejpam-4987	298	57	)	)	PUNCT
ejpam-4987	299	1	where	where	SCONJ
ejpam-4987	299	2	η1,1	η1,1	NOUN
ejpam-4987	299	3	=	=	PUNCT
ejpam-4987	299	4	[	[	X
ejpam-4987	299	5	(	(	PUNCT
ejpam-4987	299	6	α1β1,3	α1β1,3	NUM
ejpam-4987	299	7	+	+	NUM
ejpam-4987	299	8	α2b2,3	α2b2,3	PROPN
ejpam-4987	299	9	p1	p1	NOUN
ejpam-4987	299	10	µ+	µ+	PUNCT
ejpam-4987	299	11	p2	p2	PROPN
ejpam-4987	299	12	+	+	CCONJ
ejpam-4987	299	13	α3b3,3	α3b3,3	NUM
ejpam-4987	299	14	p1p2	p1p2	NOUN
ejpam-4987	299	15	µ(µ+	µ(µ+	VERB
ejpam-4987	299	16	p2	p2	NOUN
ejpam-4987	299	17	)	)	PUNCT
ejpam-4987	299	18	)	)	PUNCT
ejpam-4987	300	1	λ	λ	NOUN
ejpam-4987	300	2	µ+	µ+	PUNCT
ejpam-4987	300	3	p1	p1	PROPN
ejpam-4987	300	4	+	+	CCONJ
ejpam-4987	300	5	λi	λi	X
ejpam-4987	300	6	]	]	X
ejpam-4987	300	7	δ1	δ1	NOUN
ejpam-4987	300	8	(	(	PUNCT
ejpam-4987	300	9	µ+	µ+	X
ejpam-4987	300	10	γi	γi	X
ejpam-4987	300	11	+	+	CCONJ
ejpam-4987	300	12	µi)(µ+	µi)(µ+	PROPN
ejpam-4987	300	13	δ1	δ1	NOUN
ejpam-4987	300	14	)	)	PUNCT
ejpam-4987	301	1	η1,2	η1,2	NOUN
ejpam-4987	302	1	=	=	PUNCT
ejpam-4987	302	2	[	[	PUNCT
ejpam-4987	302	3	α1b1,4	α1b1,4	PROPN
ejpam-4987	302	4	+	+	CCONJ
ejpam-4987	302	5	α2b2,4	α2b2,4	PROPN
ejpam-4987	302	6	p1	p1	NOUN
ejpam-4987	302	7	µ+	µ+	PUNCT
ejpam-4987	302	8	p2	p2	PROPN
ejpam-4987	302	9	+	+	CCONJ
ejpam-4987	302	10	α3b3,4	α3b3,4	NUM
ejpam-4987	302	11	p1p2	p1p2	NOUN
ejpam-4987	302	12	µ(µ+	µ(µ+	X
ejpam-4987	302	13	p2	p2	NOUN
ejpam-4987	302	14	)	)	PUNCT
ejpam-4987	302	15	]	]	PUNCT
ejpam-4987	303	1	λ	λ	X
ejpam-4987	303	2	(	(	PUNCT
ejpam-4987	303	3	µ+	µ+	X
ejpam-4987	303	4	p1	p1	NOUN
ejpam-4987	303	5	)	)	PUNCT
ejpam-4987	303	6	δ2	δ2	PROPN
ejpam-4987	303	7	(	(	PUNCT
ejpam-4987	303	8	µ+	µ+	X
ejpam-4987	303	9	γc	γc	X
ejpam-4987	303	10	+	+	CCONJ
ejpam-4987	303	11	µc)(µ+	µc)(µ+	PROPN
ejpam-4987	303	12	δ2	δ2	ADJ
ejpam-4987	303	13	)	)	PUNCT
ejpam-4987	303	14	η1,3	η1,3	NOUN
ejpam-4987	303	15	=	=	SYM
ejpam-4987	304	1	[	[	X
ejpam-4987	304	2	(	(	PUNCT
ejpam-4987	304	3	α1b1,3	α1b1,3	ADJ
ejpam-4987	304	4	+	+	CCONJ
ejpam-4987	304	5	α2b2,3	α2b2,3	PROPN
ejpam-4987	304	6	p1	p1	NOUN
ejpam-4987	304	7	µ+	µ+	PUNCT
ejpam-4987	304	8	p2	p2	PROPN
ejpam-4987	304	9	+	+	CCONJ
ejpam-4987	304	10	α3b3,3	α3b3,3	NUM
ejpam-4987	304	11	p1p2	p1p2	NOUN
ejpam-4987	304	12	µ(µ+	µ(µ+	VERB
ejpam-4987	304	13	p2	p2	NOUN
ejpam-4987	304	14	)	)	PUNCT
ejpam-4987	304	15	)	)	PUNCT
ejpam-4987	305	1	λ	λ	NOUN
ejpam-4987	305	2	µ+	µ+	PUNCT
ejpam-4987	305	3	p1	p1	PROPN
ejpam-4987	305	4	+	+	X
ejpam-4987	305	5	λi	λi	X
ejpam-4987	305	6	]	]	X
ejpam-4987	305	7	1	1	NUM
ejpam-4987	305	8	µ+	µ+	X
ejpam-4987	305	9	γi	γi	X
ejpam-4987	305	10	+	+	CCONJ
ejpam-4987	305	11	µi	µi	PROPN
ejpam-4987	305	12	η1,4	η1,4	ADV
ejpam-4987	305	13	=	=	PUNCT
ejpam-4987	305	14	[	[	PUNCT
ejpam-4987	305	15	α1b1,4	α1b1,4	PROPN
ejpam-4987	305	16	+	+	CCONJ
ejpam-4987	305	17	α2b2,4	α2b2,4	PROPN
ejpam-4987	305	18	p1	p1	NOUN
ejpam-4987	305	19	µ+	µ+	PUNCT
ejpam-4987	305	20	p2	p2	PROPN
ejpam-4987	305	21	+	+	CCONJ
ejpam-4987	305	22	α3b3,4	α3b3,4	NUM
ejpam-4987	305	23	p1p2	p1p2	NOUN
ejpam-4987	305	24	µ(µ+	µ(µ+	X
ejpam-4987	305	25	p2	p2	NOUN
ejpam-4987	305	26	)	)	PUNCT
ejpam-4987	305	27	]	]	PUNCT
ejpam-4987	306	1	λ	λ	X
ejpam-4987	306	2	(	(	PUNCT
ejpam-4987	306	3	µ+	µ+	X
ejpam-4987	306	4	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	306	5	γc	γc	PROPN
ejpam-4987	306	6	+	+	CCONJ
ejpam-4987	306	7	µc	µc	ADJ
ejpam-4987	306	8	)	)	PUNCT
ejpam-4987	306	9	η2,1	η2,1	NOUN
ejpam-4987	306	10	=	=	SYM
ejpam-4987	306	11	[	[	PUNCT
ejpam-4987	306	12	(	(	PUNCT
ejpam-4987	306	13	1−	1−	NUM
ejpam-4987	306	14	α1)b1,3	α1)b1,3	NOUN
ejpam-4987	306	15	+	+	PUNCT
ejpam-4987	306	16	(	(	PUNCT
ejpam-4987	306	17	1−	1−	NUM
ejpam-4987	306	18	α2)b2,3	α2)b2,3	PROPN
ejpam-4987	306	19	p1	p1	NOUN
ejpam-4987	306	20	µ+	µ+	PUNCT
ejpam-4987	306	21	p2	p2	PROPN
ejpam-4987	306	22	+	+	CCONJ
ejpam-4987	306	23	(	(	PUNCT
ejpam-4987	306	24	1−	1−	NUM
ejpam-4987	306	25	α3)b3,3	α3)b3,3	PRON
ejpam-4987	306	26	p1p2	p1p2	X
ejpam-4987	306	27	µ(µ+	µ(µ+	VERB
ejpam-4987	306	28	p2	p2	NOUN
ejpam-4987	306	29	)	)	PUNCT
ejpam-4987	306	30	]	]	PUNCT
ejpam-4987	307	1	λ	λ	X
ejpam-4987	307	2	(	(	PUNCT
ejpam-4987	307	3	µ+	µ+	X
ejpam-4987	307	4	p1	p1	NOUN
ejpam-4987	307	5	)	)	PUNCT
ejpam-4987	307	6	δ1	δ1	NOUN
ejpam-4987	307	7	(	(	PUNCT
ejpam-4987	307	8	µ+	µ+	X
ejpam-4987	307	9	γi	γi	X
ejpam-4987	307	10	+	+	CCONJ
ejpam-4987	307	11	µi)(µ+	µi)(µ+	PROPN
ejpam-4987	307	12	δ1	δ1	NOUN
ejpam-4987	307	13	)	)	PUNCT
ejpam-4987	308	1	η2,2	η2,2	PROPN
ejpam-4987	308	2	=	=	PUNCT
ejpam-4987	309	1	[	[	X
ejpam-4987	309	2	(	(	PUNCT
ejpam-4987	309	3	(	(	PUNCT
ejpam-4987	309	4	1−	1−	NUM
ejpam-4987	309	5	α1)b1,4	α1)b1,4	NOUN
ejpam-4987	309	6	+	+	CCONJ
ejpam-4987	309	7	(	(	PUNCT
ejpam-4987	309	8	1−	1−	NUM
ejpam-4987	309	9	α2)b2,4	α2)b2,4	PROPN
ejpam-4987	309	10	p1	p1	PROPN
ejpam-4987	309	11	µ+	µ+	PUNCT
ejpam-4987	309	12	p2	p2	PROPN
ejpam-4987	309	13	+	+	CCONJ
ejpam-4987	309	14	(	(	PUNCT
ejpam-4987	309	15	1−	1−	NUM
ejpam-4987	309	16	α3)b3,4	α3)b3,4	NUM
ejpam-4987	309	17	p1p2	p1p2	PROPN
ejpam-4987	309	18	µ(µ+	µ(µ+	X
ejpam-4987	309	19	p2	p2	NOUN
ejpam-4987	309	20	)	)	PUNCT
ejpam-4987	309	21	)	)	PUNCT
ejpam-4987	310	1	λ	λ	NOUN
ejpam-4987	310	2	µ+	µ+	PUNCT
ejpam-4987	310	3	p1	p1	NOUN
ejpam-4987	310	4	+	+	CCONJ
ejpam-4987	310	5	λc	λc	X
ejpam-4987	310	6	]	]	X
ejpam-4987	310	7	δ2	δ2	PROPN
ejpam-4987	310	8	(	(	PUNCT
ejpam-4987	310	9	µ+	µ+	X
ejpam-4987	310	10	γc	γc	X
ejpam-4987	310	11	+	+	CCONJ
ejpam-4987	310	12	µc)(µ+	µc)(µ+	PROPN
ejpam-4987	310	13	δ2	δ2	ADJ
ejpam-4987	310	14	)	)	PUNCT
ejpam-4987	310	15	η2,3	η2,3	NOUN
ejpam-4987	310	16	=	=	PUNCT
ejpam-4987	311	1	[	[	PUNCT
ejpam-4987	311	2	(	(	PUNCT
ejpam-4987	311	3	1−	1−	NUM
ejpam-4987	311	4	α1)b1,3	α1)b1,3	NOUN
ejpam-4987	311	5	+	+	PUNCT
ejpam-4987	311	6	(	(	PUNCT
ejpam-4987	311	7	1−	1−	NUM
ejpam-4987	311	8	α2)b2,3	α2)b2,3	PROPN
ejpam-4987	311	9	p1	p1	NOUN
ejpam-4987	311	10	µ+	µ+	PUNCT
ejpam-4987	311	11	p2	p2	PROPN
ejpam-4987	311	12	+	+	CCONJ
ejpam-4987	311	13	(	(	PUNCT
ejpam-4987	311	14	1−	1−	NUM
ejpam-4987	311	15	α3)b3,3	α3)b3,3	PRON
ejpam-4987	311	16	p1p2	p1p2	X
ejpam-4987	311	17	µ(µ+	µ(µ+	VERB
ejpam-4987	311	18	p2	p2	NOUN
ejpam-4987	311	19	)	)	PUNCT
ejpam-4987	311	20	]	]	PUNCT
ejpam-4987	312	1	λ	λ	X
ejpam-4987	312	2	(	(	PUNCT
ejpam-4987	312	3	µ+	µ+	X
ejpam-4987	312	4	p1)(µ+	p1)(µ+	PROPN
ejpam-4987	312	5	γi	γi	PROPN
ejpam-4987	312	6	+	+	CCONJ
ejpam-4987	312	7	µi	µi	PROPN
ejpam-4987	312	8	)	)	PUNCT
ejpam-4987	312	9	η2,4	η2,4	NOUN
ejpam-4987	312	10	=	=	PUNCT
ejpam-4987	313	1	[	[	X
ejpam-4987	313	2	(	(	PUNCT
ejpam-4987	313	3	(	(	PUNCT
ejpam-4987	313	4	1−	1−	NUM
ejpam-4987	313	5	α1)b1,4	α1)b1,4	NOUN
ejpam-4987	313	6	+	+	CCONJ
ejpam-4987	313	7	(	(	PUNCT
ejpam-4987	313	8	1−	1−	NUM
ejpam-4987	313	9	α2)b2,4	α2)b2,4	PROPN
ejpam-4987	313	10	p1	p1	PROPN
ejpam-4987	313	11	µ+	µ+	PUNCT
ejpam-4987	313	12	p2	p2	PROPN
ejpam-4987	313	13	+	+	CCONJ
ejpam-4987	313	14	(	(	PUNCT
ejpam-4987	313	15	1−	1−	NUM
ejpam-4987	313	16	α3)b3,4	α3)b3,4	NUM
ejpam-4987	313	17	p1p2	p1p2	PROPN
ejpam-4987	313	18	µ(µ+	µ(µ+	NUM
ejpam-4987	313	19	p1	p1	NOUN
ejpam-4987	313	20	)	)	PUNCT
ejpam-4987	313	21	)	)	PUNCT
ejpam-4987	314	1	λ	λ	X
ejpam-4987	314	2	(	(	PUNCT
ejpam-4987	314	3	µ+	µ+	X
ejpam-4987	314	4	p1	p1	NOUN
ejpam-4987	314	5	)	)	PUNCT
ejpam-4987	314	6	+	+	CCONJ
ejpam-4987	314	7	λc	λc	X
ejpam-4987	314	8	]	]	PUNCT
ejpam-4987	314	9	1	1	NUM
ejpam-4987	314	10	µ+	µ+	X
ejpam-4987	314	11	γc	γc	PROPN
ejpam-4987	314	12	+	+	CCONJ
ejpam-4987	314	13	µc	µc	PROPN
ejpam-4987	314	14	(	(	PUNCT
ejpam-4987	314	15	17	17	NUM
ejpam-4987	314	16	)	)	PUNCT
ejpam-4987	314	17	by	by	ADP
ejpam-4987	314	18	the	the	DET
ejpam-4987	314	19	next	next	ADJ
ejpam-4987	314	20	generation	generation	NOUN
ejpam-4987	314	21	matrix	matrix	NOUN
ejpam-4987	314	22	approach	approach	NOUN
ejpam-4987	314	23	,	,	PUNCT
ejpam-4987	314	24	r0	r0	NOUN
ejpam-4987	314	25	for	for	ADP
ejpam-4987	314	26	the	the	DET
ejpam-4987	314	27	model	model	NOUN
ejpam-4987	314	28	.	.	PUNCT
ejpam-4987	315	1	by	by	ADP
ejpam-4987	315	2	calculating	calculate	VERB
ejpam-4987	315	3	the	the	DET
ejpam-4987	315	4	spectral	spectral	ADJ
ejpam-4987	315	5	radius	radius	NOUN
ejpam-4987	315	6	of	of	ADP
ejpam-4987	315	7	the	the	DET
ejpam-4987	315	8	next	next	ADJ
ejpam-4987	315	9	generation	generation	NOUN
ejpam-4987	315	10	matrix	matrix	NOUN
ejpam-4987	315	11	θγ−1	θγ−1	ADJ
ejpam-4987	315	12	,	,	PUNCT
ejpam-4987	315	13	we	we	PRON
ejpam-4987	315	14	get	get	VERB
ejpam-4987	315	15	:	:	PUNCT
ejpam-4987	315	16	w.-o	w.-o	PROPN
ejpam-4987	315	17	sawadogo	sawadogo	VERB
ejpam-4987	315	18	et	et	PROPN
ejpam-4987	315	19	al	al	PROPN
ejpam-4987	315	20	.	.	PUNCT
ejpam-4987	315	21	/	/	SYM
ejpam-4987	315	22	eur	eur	PROPN
ejpam-4987	315	23	.	.	PUNCT
ejpam-4987	316	1	j.	j.	PROPN
ejpam-4987	316	2	pure	pure	PROPN
ejpam-4987	316	3	appl	appl	PROPN
ejpam-4987	316	4	.	.	PROPN
ejpam-4987	316	5	math	math	PROPN
ejpam-4987	316	6	,	,	PUNCT
ejpam-4987	316	7	17	17	NUM
ejpam-4987	316	8	(	(	PUNCT
ejpam-4987	316	9	1	1	NUM
ejpam-4987	316	10	)	)	PUNCT
ejpam-4987	316	11	(	(	PUNCT
ejpam-4987	316	12	2024	2024	NUM
ejpam-4987	316	13	)	)	PUNCT
ejpam-4987	316	14	,	,	PUNCT
ejpam-4987	316	15	59	59	NUM
ejpam-4987	316	16	-	-	SYM
ejpam-4987	316	17	92	92	NUM
ejpam-4987	316	18	75	75	NUM
ejpam-4987	316	19	r0	r0	NOUN
ejpam-4987	316	20	=	=	SYM
ejpam-4987	316	21	ρ	ρ	PROPN
ejpam-4987	316	22	(	(	PUNCT
ejpam-4987	316	23	θγ−1	θγ−1	PROPN
ejpam-4987	316	24	)	)	PUNCT
ejpam-4987	316	25	=	=	SYM
ejpam-4987	316	26	max{|ωi|	max{|ωi|	NOUN
ejpam-4987	316	27	,	,	PUNCT
ejpam-4987	316	28	i	i	NOUN
ejpam-4987	316	29	=	=	NOUN
ejpam-4987	316	30	1	1	NUM
ejpam-4987	316	31	,	,	PUNCT
ejpam-4987	316	32	2	2	NUM
ejpam-4987	316	33	,	,	PUNCT
ejpam-4987	316	34	3	3	NUM
ejpam-4987	316	35	}	}	PUNCT
ejpam-4987	316	36	=	=	SYM
ejpam-4987	317	1	max	max	PROPN
ejpam-4987	317	2			PROPN
ejpam-4987	317	3	∣∣∣∣∣∣∣	∣∣∣∣∣∣∣	PROPN
ejpam-4987	317	4	η1,1	η1,1	PROPN
ejpam-4987	318	1	+	+	CCONJ
ejpam-4987	318	2	η2,2	η2,2	PROPN
ejpam-4987	318	3	+	+	CCONJ
ejpam-4987	318	4	(	(	PUNCT
ejpam-4987	318	5	(	(	PUNCT
ejpam-4987	318	6	η1,1	η1,1	NOUN
ejpam-4987	318	7	−	−	ADP
ejpam-4987	318	8	η2,2	η2,2	NOUN
ejpam-4987	318	9	)	)	PUNCT
ejpam-4987	318	10	2	2	NUM
ejpam-4987	319	1	+	+	SYM
ejpam-4987	319	2	4η1,2η2,1	4η1,2η2,1	X
ejpam-4987	319	3	)	)	PUNCT
ejpam-4987	319	4	1	1	NUM
ejpam-4987	319	5	2	2	NUM
ejpam-4987	319	6	2	2	NUM
ejpam-4987	319	7	∣∣∣∣∣∣∣	∣∣∣∣∣∣∣	NOUN
ejpam-4987	319	8	,	,	PUNCT
ejpam-4987	319	9	∣∣∣∣∣∣∣	∣∣∣∣∣∣∣	PROPN
ejpam-4987	319	10	η1,1	η1,1	PROPN
ejpam-4987	320	1	+	+	CCONJ
ejpam-4987	320	2	η2,2	η2,2	PROPN
ejpam-4987	320	3	−	−	PROPN
ejpam-4987	320	4	(	(	PUNCT
ejpam-4987	320	5	(	(	PUNCT
ejpam-4987	320	6	η1,1	η1,1	NOUN
ejpam-4987	320	7	−	−	ADP
ejpam-4987	320	8	η2,2	η2,2	NOUN
ejpam-4987	320	9	)	)	PUNCT
ejpam-4987	320	10	2	2	NUM
ejpam-4987	321	1	+	+	SYM
ejpam-4987	321	2	4η1,2η2,1	4η1,2η2,1	X
ejpam-4987	321	3	)	)	PUNCT
ejpam-4987	321	4	1	1	NUM
ejpam-4987	321	5	2	2	NUM
ejpam-4987	321	6	2	2	NUM
ejpam-4987	321	7	∣∣∣∣∣∣∣	∣∣∣∣∣∣∣	NOUN
ejpam-4987	321	8	,	,	PUNCT
ejpam-4987	321	9	0	0	NUM
ejpam-4987	321	10			PROPN
ejpam-4987	321	11	(	(	PUNCT
ejpam-4987	321	12	18	18	NUM
ejpam-4987	321	13	)	)	PUNCT
ejpam-4987	321	14	then	then	ADV
ejpam-4987	321	15	the	the	DET
ejpam-4987	321	16	reproduction	reproduction	NOUN
ejpam-4987	321	17	rate	rate	NOUN
ejpam-4987	321	18	r0	r0	NOUN
ejpam-4987	321	19	of	of	ADP
ejpam-4987	321	20	the	the	DET
ejpam-4987	321	21	normalized	normalize	VERB
ejpam-4987	321	22	system	system	NOUN
ejpam-4987	321	23	is	be	AUX
ejpam-4987	321	24	given	give	VERB
ejpam-4987	321	25	as	as	ADP
ejpam-4987	321	26	:	:	PUNCT
ejpam-4987	321	27	r0	r0	NOUN
ejpam-4987	321	28	=	=	SYM
ejpam-4987	321	29	η1,1	η1,1	PROPN
ejpam-4987	322	1	+	+	CCONJ
ejpam-4987	322	2	η2,2	η2,2	PROPN
ejpam-4987	322	3	+	+	CCONJ
ejpam-4987	322	4	(	(	PUNCT
ejpam-4987	322	5	(	(	PUNCT
ejpam-4987	322	6	η1,1	η1,1	NOUN
ejpam-4987	322	7	−	−	ADP
ejpam-4987	322	8	η2,2	η2,2	NOUN
ejpam-4987	322	9	)	)	PUNCT
ejpam-4987	322	10	2	2	NUM
ejpam-4987	323	1	+	+	SYM
ejpam-4987	323	2	4η1,2η2,1	4η1,2η2,1	X
ejpam-4987	323	3	)	)	PUNCT
ejpam-4987	323	4	1	1	NUM
ejpam-4987	323	5	2	2	NUM
ejpam-4987	323	6	2	2	NUM
ejpam-4987	323	7	(	(	PUNCT
ejpam-4987	323	8	19	19	NUM
ejpam-4987	323	9	)	)	PUNCT
ejpam-4987	323	10	where	where	SCONJ
ejpam-4987	323	11	η1,1	η1,1	PROPN
ejpam-4987	323	12	,	,	PUNCT
ejpam-4987	323	13	η2,2	η2,2	PROPN
ejpam-4987	323	14	,	,	PUNCT
ejpam-4987	323	15	η1,2	η1,2	PROPN
ejpam-4987	323	16	,	,	PUNCT
ejpam-4987	323	17	η2,1	η2,1	PROPN
ejpam-4987	323	18	are	be	AUX
ejpam-4987	323	19	given	give	VERB
ejpam-4987	323	20	by	by	ADP
ejpam-4987	323	21	(	(	PUNCT
ejpam-4987	323	22	17	17	NUM
ejpam-4987	323	23	)	)	PUNCT
ejpam-4987	323	24	.	.	PUNCT
ejpam-4987	324	1	remark	remark	PROPN
ejpam-4987	324	2	1	1	NUM
ejpam-4987	324	3	.	.	PUNCT
ejpam-4987	325	1	the	the	DET
ejpam-4987	325	2	reproduction	reproduction	NOUN
ejpam-4987	325	3	number	number	NOUN
ejpam-4987	325	4	r0	r0	NOUN
ejpam-4987	325	5	has	have	VERB
ejpam-4987	325	6	a	a	DET
ejpam-4987	325	7	crucial	crucial	ADJ
ejpam-4987	325	8	role	role	NOUN
ejpam-4987	325	9	in	in	ADP
ejpam-4987	325	10	the	the	DET
ejpam-4987	325	11	control	control	NOUN
ejpam-4987	325	12	of	of	ADP
ejpam-4987	325	13	hepatitis	hepatitis	PROPN
ejpam-4987	325	14	b	b	PROPN
ejpam-4987	325	15	viral	viral	ADJ
ejpam-4987	325	16	infection	infection	NOUN
ejpam-4987	325	17	.	.	PUNCT
ejpam-4987	326	1	when	when	SCONJ
ejpam-4987	326	2	this	this	DET
ejpam-4987	326	3	number	number	NOUN
ejpam-4987	326	4	is	be	AUX
ejpam-4987	326	5	less	less	ADJ
ejpam-4987	326	6	than	than	ADP
ejpam-4987	326	7	1	1	NUM
ejpam-4987	326	8	,	,	PUNCT
ejpam-4987	326	9	an	an	DET
ejpam-4987	326	10	infected	infected	ADJ
ejpam-4987	326	11	individual	individual	ADJ
ejpam-4987	326	12	infects	infect	VERB
ejpam-4987	326	13	less	less	ADJ
ejpam-4987	326	14	than	than	ADP
ejpam-4987	326	15	one	one	NUM
ejpam-4987	326	16	other	other	ADJ
ejpam-4987	326	17	individual	individual	NOUN
ejpam-4987	326	18	on	on	ADP
ejpam-4987	326	19	average	average	ADJ
ejpam-4987	326	20	,	,	PUNCT
ejpam-4987	326	21	therefore	therefore	ADV
ejpam-4987	326	22	the	the	DET
ejpam-4987	326	23	disease	disease	NOUN
ejpam-4987	326	24	is	be	AUX
ejpam-4987	326	25	under	under	ADP
ejpam-4987	326	26	control	control	NOUN
ejpam-4987	326	27	.	.	PUNCT
ejpam-4987	327	1	conversely	conversely	ADV
ejpam-4987	327	2	,	,	PUNCT
ejpam-4987	327	3	when	when	SCONJ
ejpam-4987	327	4	this	this	DET
ejpam-4987	327	5	number	number	NOUN
ejpam-4987	327	6	exceeds	exceed	VERB
ejpam-4987	327	7	1	1	NUM
ejpam-4987	327	8	,	,	PUNCT
ejpam-4987	327	9	the	the	DET
ejpam-4987	327	10	disease	disease	NOUN
ejpam-4987	327	11	spreads	spread	VERB
ejpam-4987	327	12	through	through	ADP
ejpam-4987	327	13	the	the	DET
ejpam-4987	327	14	population	population	NOUN
ejpam-4987	327	15	and	and	CCONJ
ejpam-4987	327	16	becomes	become	VERB
ejpam-4987	327	17	epidemic	epidemic	NOUN
ejpam-4987	327	18	[	[	X
ejpam-4987	327	19	40	40	NUM
ejpam-4987	327	20	]	]	PUNCT
ejpam-4987	327	21	.	.	PUNCT
ejpam-4987	328	1	4	4	X
ejpam-4987	328	2	.	.	X
ejpam-4987	328	3	global	global	ADJ
ejpam-4987	328	4	stability	stability	NOUN
ejpam-4987	328	5	analysis	analysis	NOUN
ejpam-4987	328	6	of	of	ADP
ejpam-4987	328	7	the	the	DET
ejpam-4987	328	8	model	model	NOUN
ejpam-4987	328	9	problem	problem	NOUN
ejpam-4987	328	10	for	for	ADP
ejpam-4987	328	11	the	the	DET
ejpam-4987	328	12	disease	disease	NOUN
ejpam-4987	328	13	free	free	ADJ
ejpam-4987	328	14	equilibrium	equilibrium	NOUN
ejpam-4987	328	15	point	point	NOUN
ejpam-4987	328	16	in	in	ADP
ejpam-4987	328	17	the	the	DET
ejpam-4987	328	18	section	section	NOUN
ejpam-4987	328	19	,	,	PUNCT
ejpam-4987	328	20	the	the	DET
ejpam-4987	328	21	global	global	ADJ
ejpam-4987	328	22	stability	stability	NOUN
ejpam-4987	328	23	analysis	analysis	NOUN
ejpam-4987	328	24	of	of	ADP
ejpam-4987	328	25	the	the	DET
ejpam-4987	328	26	model	model	NOUN
ejpam-4987	328	27	for	for	ADP
ejpam-4987	328	28	the	the	DET
ejpam-4987	328	29	disease	disease	NOUN
ejpam-4987	328	30	free	free	ADJ
ejpam-4987	328	31	equilibrium	equilibrium	NOUN
ejpam-4987	328	32	is	be	AUX
ejpam-4987	328	33	shown	show	VERB
ejpam-4987	328	34	.	.	PUNCT
ejpam-4987	329	1	in	in	ADP
ejpam-4987	329	2	the	the	DET
ejpam-4987	329	3	following	following	NOUN
ejpam-4987	329	4	,	,	PUNCT
ejpam-4987	329	5	we	we	PRON
ejpam-4987	329	6	aim	aim	VERB
ejpam-4987	329	7	to	to	PART
ejpam-4987	329	8	provide	provide	VERB
ejpam-4987	329	9	a	a	DET
ejpam-4987	329	10	brief	brief	ADJ
ejpam-4987	329	11	investigation	investigation	NOUN
ejpam-4987	329	12	of	of	ADP
ejpam-4987	329	13	the	the	DET
ejpam-4987	329	14	castillo	castillo	PROPN
ejpam-4987	329	15	chavez	chavez	PROPN
ejpam-4987	329	16	technique	technique	PROPN
ejpam-4987	329	17	[	[	X
ejpam-4987	329	18	5	5	NUM
ejpam-4987	329	19	,	,	PUNCT
ejpam-4987	329	20	6	6	NUM
ejpam-4987	329	21	]	]	PUNCT
ejpam-4987	329	22	to	to	PART
ejpam-4987	329	23	prove	prove	VERB
ejpam-4987	329	24	the	the	DET
ejpam-4987	329	25	stability	stability	NOUN
ejpam-4987	329	26	of	of	ADP
ejpam-4987	329	27	system	system	NOUN
ejpam-4987	329	28	(	(	PUNCT
ejpam-4987	329	29	3	3	NUM
ejpam-4987	329	30	)	)	PUNCT
ejpam-4987	329	31	in	in	ADP
ejpam-4987	329	32	the	the	DET
ejpam-4987	329	33	global	global	ADJ
ejpam-4987	329	34	sense	sense	NOUN
ejpam-4987	329	35	at	at	ADP
ejpam-4987	329	36	the	the	DET
ejpam-4987	329	37	disease	disease	NOUN
ejpam-4987	329	38	free	free	ADJ
ejpam-4987	329	39	equilibrium	equilibrium	NOUN
ejpam-4987	329	40	point	point	NOUN
ejpam-4987	329	41	.	.	PUNCT
ejpam-4987	330	1	therefore	therefore	ADV
ejpam-4987	330	2	,	,	PUNCT
ejpam-4987	330	3	by	by	ADP
ejpam-4987	330	4	applying	apply	VERB
ejpam-4987	330	5	the	the	DET
ejpam-4987	330	6	castillo	castillo	PROPN
ejpam-4987	330	7	chavez	chavez	PROPN
ejpam-4987	330	8	technique	technique	PROPN
ejpam-4987	330	9	[	[	X
ejpam-4987	330	10	6	6	NUM
ejpam-4987	330	11	]	]	PUNCT
ejpam-4987	330	12	,	,	PUNCT
ejpam-4987	330	13	the	the	DET
ejpam-4987	330	14	given	give	VERB
ejpam-4987	330	15	problem	problem	NOUN
ejpam-4987	330	16	(	(	PUNCT
ejpam-4987	330	17	3	3	X
ejpam-4987	330	18	)	)	PUNCT
ejpam-4987	330	19	is	be	AUX
ejpam-4987	330	20	converted	convert	VERB
ejpam-4987	330	21	into	into	ADP
ejpam-4987	330	22	the	the	DET
ejpam-4987	330	23	following	follow	VERB
ejpam-4987	330	24	sub	sub	NOUN
ejpam-4987	330	25	-	-	ADJ
ejpam-4987	330	26	models:	models:	ADJ
ejpam-4987	330	27	dx1	dx1	PROPN
ejpam-4987	330	28	dt	dt	X
ejpam-4987	331	1	=	=	SYM
ejpam-4987	331	2	f	f	PROPN
ejpam-4987	331	3	(	(	PUNCT
ejpam-4987	331	4	x1	x1	PROPN
ejpam-4987	331	5	,	,	PUNCT
ejpam-4987	331	6	x2	x2	PROPN
ejpam-4987	331	7	)	)	PUNCT
ejpam-4987	331	8	,	,	PUNCT
ejpam-4987	331	9	dx2	dx2	PROPN
ejpam-4987	331	10	dt	dt	NOUN
ejpam-4987	331	11	=	=	SYM
ejpam-4987	331	12	g(x1	g(x1	PROPN
ejpam-4987	331	13	,	,	PUNCT
ejpam-4987	331	14	x2	x2	PROPN
ejpam-4987	331	15	)	)	PUNCT
ejpam-4987	331	16	,	,	PUNCT
ejpam-4987	331	17	g(x1	g(x1	NOUN
ejpam-4987	331	18	,	,	PUNCT
ejpam-4987	331	19	0	0	NUM
ejpam-4987	331	20	)	)	PUNCT
ejpam-4987	331	21	=	=	SYM
ejpam-4987	331	22	0	0	X
ejpam-4987	331	23	.	.	PUNCT
ejpam-4987	332	1	(	(	PUNCT
ejpam-4987	332	2	20	20	NUM
ejpam-4987	332	3	)	)	PUNCT
ejpam-4987	332	4	where	where	SCONJ
ejpam-4987	332	5	x1	x1	PROPN
ejpam-4987	332	6	and	and	CCONJ
ejpam-4987	332	7	x2	x2	NOUN
ejpam-4987	332	8	designate	designate	VERB
ejpam-4987	332	9	the	the	DET
ejpam-4987	332	10	population	population	NOUN
ejpam-4987	332	11	of	of	ADP
ejpam-4987	332	12	uninfected	uninfected	ADJ
ejpam-4987	332	13	individuals	individual	NOUN
ejpam-4987	332	14	,	,	PUNCT
ejpam-4987	332	15	and	and	CCONJ
ejpam-4987	332	16	infected	infected	ADJ
ejpam-4987	332	17	individuals	individual	NOUN
ejpam-4987	332	18	,	,	PUNCT
ejpam-4987	332	19	respectively	respectively	ADV
ejpam-4987	332	20	.	.	PUNCT
ejpam-4987	333	1	the	the	DET
ejpam-4987	333	2	following	follow	VERB
ejpam-4987	333	3	conditions	condition	NOUN
ejpam-4987	333	4	(	(	PUNCT
ejpam-4987	333	5	a1	a1	NOUN
ejpam-4987	333	6	)	)	PUNCT
ejpam-4987	333	7	and	and	CCONJ
ejpam-4987	333	8	(	(	PUNCT
ejpam-4987	333	9	a2	a2	PROPN
ejpam-4987	333	10	)	)	PUNCT
ejpam-4987	333	11	must	must	AUX
ejpam-4987	333	12	be	be	AUX
ejpam-4987	333	13	satisfied	satisfied	ADJ
ejpam-4987	333	14	to	to	PART
ejpam-4987	333	15	guarantee	guarantee	VERB
ejpam-4987	333	16	the	the	DET
ejpam-4987	333	17	local	local	ADJ
ejpam-4987	333	18	asymptotic	asymptotic	ADJ
ejpam-4987	333	19	stability	stability	NOUN
ejpam-4987	333	20	.	.	PUNCT
ejpam-4987	334	1	w.-o	w.-o	PROPN
ejpam-4987	334	2	sawadogo	sawadogo	VERB
ejpam-4987	334	3	et	et	PROPN
ejpam-4987	334	4	al	al	PROPN
ejpam-4987	334	5	.	.	PUNCT
ejpam-4987	334	6	/	/	SYM
ejpam-4987	334	7	eur	eur	PROPN
ejpam-4987	334	8	.	.	PUNCT
ejpam-4987	335	1	j.	j.	PROPN
ejpam-4987	335	2	pure	pure	PROPN
ejpam-4987	335	3	appl	appl	PROPN
ejpam-4987	335	4	.	.	PROPN
ejpam-4987	335	5	math	math	PROPN
ejpam-4987	335	6	,	,	PUNCT
ejpam-4987	335	7	17	17	NUM
ejpam-4987	335	8	(	(	PUNCT
ejpam-4987	335	9	1	1	NUM
ejpam-4987	335	10	)	)	PUNCT
ejpam-4987	335	11	(	(	PUNCT
ejpam-4987	335	12	2024	2024	NUM
ejpam-4987	335	13	)	)	PUNCT
ejpam-4987	335	14	,	,	PUNCT
ejpam-4987	335	15	59	59	NUM
ejpam-4987	335	16	-	-	SYM
ejpam-4987	335	17	92	92	NUM
ejpam-4987	335	18	76	76	NUM
ejpam-4987	335	19	(	(	PUNCT
ejpam-4987	335	20	a1	a1	NOUN
ejpam-4987	335	21	)	)	PUNCT
ejpam-4987	335	22	if	if	SCONJ
ejpam-4987	335	23	dx1	dx1	PROPN
ejpam-4987	335	24	dt	dt	X
ejpam-4987	336	1	=	=	SYM
ejpam-4987	336	2	f	f	PROPN
ejpam-4987	336	3	(	(	PUNCT
ejpam-4987	336	4	x1	x1	PROPN
ejpam-4987	336	5	,	,	PUNCT
ejpam-4987	336	6	0	0	NUM
ejpam-4987	336	7	)	)	PUNCT
ejpam-4987	336	8	then	then	ADV
ejpam-4987	336	9	x0	x0	PROPN
ejpam-4987	336	10	is	be	AUX
ejpam-4987	336	11	globally	globally	ADV
ejpam-4987	336	12	asymptotically	asymptotically	ADV
ejpam-4987	336	13	stable	stable	ADJ
ejpam-4987	336	14	.	.	PUNCT
ejpam-4987	337	1	(	(	PUNCT
ejpam-4987	337	2	a2	a2	NOUN
ejpam-4987	337	3	)	)	PUNCT
ejpam-4987	337	4	g(x1	g(x1	NOUN
ejpam-4987	337	5	,	,	PUNCT
ejpam-4987	337	6	x2	x2	PROPN
ejpam-4987	337	7	)	)	PUNCT
ejpam-4987	337	8	=	=	PUNCT
ejpam-4987	337	9	ax2	ax2	NOUN
ejpam-4987	337	10	−	−	PROPN
ejpam-4987	338	1	ĝ(x1	ĝ(x1	PROPN
ejpam-4987	338	2	,	,	PUNCT
ejpam-4987	338	3	x2	x2	PROPN
ejpam-4987	338	4	)	)	PUNCT
ejpam-4987	338	5	.	.	PUNCT
ejpam-4987	339	1	where	where	SCONJ
ejpam-4987	339	2	ĝ(x1	ĝ(x1	ADJ
ejpam-4987	339	3	,	,	PUNCT
ejpam-4987	339	4	x2	x2	PROPN
ejpam-4987	339	5	)	)	PUNCT
ejpam-4987	339	6	≥	≥	NOUN
ejpam-4987	339	7	0	0	NUM
ejpam-4987	339	8	for	for	ADP
ejpam-4987	339	9	(	(	PUNCT
ejpam-4987	339	10	x1	x1	PROPN
ejpam-4987	339	11	,	,	PUNCT
ejpam-4987	339	12	x2	x2	PROPN
ejpam-4987	339	13	)	)	PUNCT
ejpam-4987	339	14	∈	∈	PROPN
ejpam-4987	339	15	ω	ω	PROPN
ejpam-4987	339	16	,	,	PUNCT
ejpam-4987	339	17	the	the	DET
ejpam-4987	339	18	matrix	matrix	NOUN
ejpam-4987	339	19	a	a	PRON
ejpam-4987	339	20	is	be	AUX
ejpam-4987	339	21	a	a	DET
ejpam-4987	339	22	m	m	NOUN
ejpam-4987	339	23	-	-	NOUN
ejpam-4987	339	24	matrix	matrix	NOUN
ejpam-4987	339	25	whose	whose	DET
ejpam-4987	339	26	off	off	ADP
ejpam-4987	339	27	diagonal	diagonal	ADJ
ejpam-4987	339	28	elements	element	NOUN
ejpam-4987	339	29	are	be	AUX
ejpam-4987	339	30	nonnegative	nonnegative	ADJ
ejpam-4987	339	31	.	.	PUNCT
ejpam-4987	340	1	in	in	ADP
ejpam-4987	340	2	the	the	DET
ejpam-4987	340	3	proposed	propose	VERB
ejpam-4987	340	4	system	system	NOUN
ejpam-4987	340	5	(	(	PUNCT
ejpam-4987	340	6	3	3	NUM
ejpam-4987	340	7	)	)	PUNCT
ejpam-4987	340	8	,	,	PUNCT
ejpam-4987	340	9	x1	x1	PROPN
ejpam-4987	340	10	=	=	SYM
ejpam-4987	340	11	(	(	PUNCT
ejpam-4987	340	12	s1	s1	PROPN
ejpam-4987	340	13	,	,	PUNCT
ejpam-4987	340	14	s2	s2	PROPN
ejpam-4987	340	15	,	,	PUNCT
ejpam-4987	340	16	s3	s3	PROPN
ejpam-4987	340	17	,	,	PUNCT
ejpam-4987	340	18	r	r	NOUN
ejpam-4987	340	19	)	)	PUNCT
ejpam-4987	340	20	∈	∈	NOUN
ejpam-4987	340	21	r4	r4	NOUN
ejpam-4987	340	22	and	and	CCONJ
ejpam-4987	340	23	x1	x1	NOUN
ejpam-4987	340	24	=	=	SYM
ejpam-4987	340	25	(	(	PUNCT
ejpam-4987	340	26	ei	ei	PROPN
ejpam-4987	340	27	,	,	PUNCT
ejpam-4987	340	28	ec	ec	PROPN
ejpam-4987	340	29	,	,	PUNCT
ejpam-4987	340	30	i	i	PRON
ejpam-4987	340	31	,	,	PUNCT
ejpam-4987	340	32	c	c	X
ejpam-4987	340	33	)	)	PUNCT
ejpam-4987	340	34	∈	∈	PROPN
ejpam-4987	340	35	r4	r4	NOUN
ejpam-4987	340	36	.	.	PUNCT
ejpam-4987	341	1	according	accord	VERB
ejpam-4987	341	2	to	to	ADP
ejpam-4987	341	3	the	the	DET
ejpam-4987	341	4	results	result	NOUN
ejpam-4987	341	5	obtained	obtain	VERB
ejpam-4987	341	6	in	in	ADP
ejpam-4987	341	7	section	section	NOUN
ejpam-4987	341	8	3	3	NUM
ejpam-4987	341	9	,	,	PUNCT
ejpam-4987	341	10	the	the	DET
ejpam-4987	341	11	free	free	ADJ
ejpam-4987	341	12	disease	disease	NOUN
ejpam-4987	341	13	equilibrium	equilibrium	NOUN
ejpam-4987	341	14	point	point	NOUN
ejpam-4987	341	15	(	(	PUNCT
ejpam-4987	341	16	dfe	dfe	PROPN
ejpam-4987	341	17	)	)	PUNCT
ejpam-4987	341	18	was	be	AUX
ejpam-4987	341	19	denoted	denote	VERB
ejpam-4987	341	20	by	by	ADP
ejpam-4987	341	21	x0	x0	PROPN
ejpam-4987	341	22	,	,	PUNCT
ejpam-4987	341	23	it	it	PRON
ejpam-4987	341	24	is	be	AUX
ejpam-4987	341	25	defined	define	VERB
ejpam-4987	341	26	by	by	ADP
ejpam-4987	341	27	the	the	DET
ejpam-4987	341	28	following	follow	VERB
ejpam-4987	341	29	sense	sense	NOUN
ejpam-4987	341	30	x0	x0	PROPN
ejpam-4987	341	31	=	=	PUNCT
ejpam-4987	341	32	(	(	PUNCT
ejpam-4987	341	33	λ	λ	PROPN
ejpam-4987	341	34	µ+	µ+	X
ejpam-4987	341	35	p1	p1	NOUN
ejpam-4987	341	36	,	,	PUNCT
ejpam-4987	341	37	p1λ	p1λ	PROPN
ejpam-4987	341	38	(	(	PUNCT
ejpam-4987	341	39	µ+	µ+	X
ejpam-4987	341	40	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	341	41	p2	p2	NOUN
ejpam-4987	341	42	)	)	PUNCT
ejpam-4987	341	43	,	,	PUNCT
ejpam-4987	341	44	p1p2λ	p1p2λ	X
ejpam-4987	341	45	µ(µ+	µ(µ+	NUM
ejpam-4987	341	46	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	341	47	p2	p2	NOUN
ejpam-4987	341	48	)	)	PUNCT
ejpam-4987	341	49	,	,	PUNCT
ejpam-4987	341	50	0	0	NUM
ejpam-4987	341	51	,	,	PUNCT
ejpam-4987	341	52	0	0	NUM
ejpam-4987	341	53	,	,	PUNCT
ejpam-4987	341	54	0	0	NUM
ejpam-4987	341	55	,	,	PUNCT
ejpam-4987	341	56	0	0	NUM
ejpam-4987	341	57	,	,	PUNCT
ejpam-4987	341	58	0	0	NUM
ejpam-4987	341	59	)	)	PUNCT
ejpam-4987	341	60	which	which	PRON
ejpam-4987	341	61	can	can	AUX
ejpam-4987	341	62	be	be	AUX
ejpam-4987	341	63	written	write	VERB
ejpam-4987	341	64	as	as	ADP
ejpam-4987	341	65	x0	x0	PROPN
ejpam-4987	341	66	=	=	SYM
ejpam-4987	341	67	(	(	PUNCT
ejpam-4987	341	68	s0	s0	PROPN
ejpam-4987	341	69	,	,	PUNCT
ejpam-4987	341	70	0	0	NUM
ejpam-4987	341	71	)	)	PUNCT
ejpam-4987	341	72	.	.	PUNCT
ejpam-4987	342	1	in	in	ADP
ejpam-4987	342	2	order	order	NOUN
ejpam-4987	342	3	to	to	PART
ejpam-4987	342	4	ensure	ensure	VERB
ejpam-4987	342	5	the	the	DET
ejpam-4987	342	6	globally	globally	ADV
ejpam-4987	342	7	asymptotically	asymptotically	ADJ
ejpam-4987	342	8	stability	stability	NOUN
ejpam-4987	342	9	of	of	ADP
ejpam-4987	342	10	dfe	dfe	PROPN
ejpam-4987	342	11	point	point	NOUN
ejpam-4987	342	12	,	,	PUNCT
ejpam-4987	342	13	the	the	DET
ejpam-4987	342	14	results	result	NOUN
ejpam-4987	342	15	given	give	VERB
ejpam-4987	342	16	above	above	ADP
ejpam-4987	342	17	[	[	X
ejpam-4987	342	18	6	6	NUM
ejpam-4987	342	19	]	]	PUNCT
ejpam-4987	342	20	were	be	AUX
ejpam-4987	342	21	applied	apply	VERB
ejpam-4987	342	22	.	.	PUNCT
ejpam-4987	343	1	theorem	theorem	NOUN
ejpam-4987	343	2	3	3	NUM
ejpam-4987	343	3	.	.	PUNCT
ejpam-4987	344	1	if	if	SCONJ
ejpam-4987	344	2	r0	r0	NOUN
ejpam-4987	344	3	<	<	X
ejpam-4987	344	4	1	1	NUM
ejpam-4987	344	5	and	and	CCONJ
ejpam-4987	344	6	s1,0	s1,0	PROPN
ejpam-4987	344	7	≤	≤	PROPN
ejpam-4987	344	8	λ	λ	PROPN
ejpam-4987	344	9	µ+	µ+	X
ejpam-4987	344	10	p1	p1	PROPN
ejpam-4987	344	11	,	,	PUNCT
ejpam-4987	344	12	s2,0	s2,0	NOUN
ejpam-4987	344	13	≤	≤	ADJ
ejpam-4987	344	14	p1λ	p1λ	PROPN
ejpam-4987	344	15	(	(	PUNCT
ejpam-4987	344	16	µ+	µ+	X
ejpam-4987	344	17	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	344	18	p2	p2	NOUN
ejpam-4987	344	19	)	)	PUNCT
ejpam-4987	344	20	,	,	PUNCT
ejpam-4987	344	21	s3,0	s3,0	NUM
ejpam-4987	344	22	≤	≤	NOUN
ejpam-4987	344	23	p1p2λ	p1p2λ	NUM
ejpam-4987	344	24	µ(µ+	µ(µ+	NOUN
ejpam-4987	344	25	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	344	26	p2	p2	NOUN
ejpam-4987	344	27	)	)	PUNCT
ejpam-4987	344	28	,	,	PUNCT
ejpam-4987	344	29	then	then	ADV
ejpam-4987	344	30	the	the	DET
ejpam-4987	344	31	dfe	dfe	PROPN
ejpam-4987	344	32	point	point	NOUN
ejpam-4987	344	33	x0	x0	PROPN
ejpam-4987	344	34	of	of	ADP
ejpam-4987	344	35	the	the	DET
ejpam-4987	344	36	model	model	NOUN
ejpam-4987	344	37	(	(	PUNCT
ejpam-4987	344	38	3	3	X
ejpam-4987	344	39	)	)	PUNCT
ejpam-4987	344	40	is	be	AUX
ejpam-4987	344	41	globally	globally	ADV
ejpam-4987	344	42	asymptotically	asymptotically	ADV
ejpam-4987	344	43	stable	stable	ADJ
ejpam-4987	344	44	.	.	PUNCT
ejpam-4987	345	1	proof	proof	NOUN
ejpam-4987	345	2	.	.	PUNCT
ejpam-4987	346	1	in	in	ADP
ejpam-4987	346	2	system	system	NOUN
ejpam-4987	346	3	20	20	NUM
ejpam-4987	346	4	,	,	PUNCT
ejpam-4987	346	5	since	since	SCONJ
ejpam-4987	346	6	infected	infected	ADJ
ejpam-4987	346	7	and	and	CCONJ
ejpam-4987	346	8	chronically	chronically	ADV
ejpam-4987	346	9	exposed	expose	VERB
ejpam-4987	346	10	individuals	individual	NOUN
ejpam-4987	346	11	are	be	AUX
ejpam-4987	346	12	infected	infect	VERB
ejpam-4987	346	13	but	but	CCONJ
ejpam-4987	346	14	not	not	PART
ejpam-4987	346	15	infectious	infectious	ADJ
ejpam-4987	346	16	.	.	PUNCT
ejpam-4987	347	1	therefore	therefore	ADV
ejpam-4987	347	2	,	,	PUNCT
ejpam-4987	347	3	they	they	PRON
ejpam-4987	347	4	do	do	AUX
ejpam-4987	347	5	not	not	PART
ejpam-4987	347	6	participate	participate	VERB
ejpam-4987	347	7	in	in	ADP
ejpam-4987	347	8	the	the	DET
ejpam-4987	347	9	transmission	transmission	NOUN
ejpam-4987	347	10	of	of	ADP
ejpam-4987	347	11	the	the	DET
ejpam-4987	347	12	virus	virus	NOUN
ejpam-4987	347	13	.	.	PUNCT
ejpam-4987	348	1	hence	hence	ADV
ejpam-4987	348	2	bk,1	bk,1	NOUN
ejpam-4987	348	3	=	=	SYM
ejpam-4987	348	4	0	0	NUM
ejpam-4987	348	5	and	and	CCONJ
ejpam-4987	348	6	bk,2	bk,2	NOUN
ejpam-4987	348	7	=	=	SYM
ejpam-4987	348	8	0	0	NUM
ejpam-4987	348	9	for	for	ADP
ejpam-4987	348	10	k	k	PROPN
ejpam-4987	348	11	=	=	SYM
ejpam-4987	348	12	1	1	NUM
ejpam-4987	348	13	,	,	PUNCT
ejpam-4987	348	14	2	2	NUM
ejpam-4987	348	15	,	,	PUNCT
ejpam-4987	348	16	3	3	NUM
ejpam-4987	348	17	.	.	PUNCT
ejpam-4987	348	18	here	here	ADV
ejpam-4987	348	19	,	,	PUNCT
ejpam-4987	348	20	one	one	PRON
ejpam-4987	348	21	can	can	AUX
ejpam-4987	348	22	set	set	VERB
ejpam-4987	348	23	the	the	DET
ejpam-4987	348	24	following	follow	VERB
ejpam-4987	348	25	f	f	X
ejpam-4987	348	26	(	(	PUNCT
ejpam-4987	348	27	x1	x1	PROPN
ejpam-4987	348	28	,	,	PUNCT
ejpam-4987	348	29	x2	x2	PROPN
ejpam-4987	348	30	)	)	PUNCT
ejpam-4987	348	31	=	=	PUNCT
ejpam-4987	349	1			PROPN
ejpam-4987	349	2	λ−	λ−	PROPN
ejpam-4987	349	3	iλ1	iλ1	PROPN
ejpam-4987	349	4	−	−	PROPN
ejpam-4987	349	5	cλ2	cλ2	PROPN
ejpam-4987	349	6	−	−	PROPN
ejpam-4987	349	7	(	(	PUNCT
ejpam-4987	349	8	µ+	µ+	X
ejpam-4987	349	9	p1)s1	p1)s1	NOUN
ejpam-4987	349	10	−	−	PROPN
ejpam-4987	349	11	b1,3is1	b1,3is1	VERB
ejpam-4987	349	12	−	−	NOUN
ejpam-4987	349	13	b1,4cs1	b1,4cs1	NOUN
ejpam-4987	349	14	p1s1	p1s1	ADP
ejpam-4987	349	15	−	−	PROPN
ejpam-4987	349	16	(	(	PUNCT
ejpam-4987	349	17	µ+	µ+	X
ejpam-4987	349	18	p2)s2	p2)s2	ADJ
ejpam-4987	349	19	−	−	PROPN
ejpam-4987	349	20	b2,3is2	b2,3is2	NOUN
ejpam-4987	349	21	−	−	NOUN
ejpam-4987	349	22	b2,4cs2	b2,4cs2	ADP
ejpam-4987	349	23	p2s2	p2s2	PROPN
ejpam-4987	349	24	−	−	PROPN
ejpam-4987	349	25	µs3	µs3	NOUN
ejpam-4987	349	26	−	−	NOUN
ejpam-4987	350	1	b3,3is3	b3,3is3	NOUN
ejpam-4987	350	2	−	−	PROPN
ejpam-4987	350	3	b3,4cs3	b3,4cs3	PROPN
ejpam-4987	350	4	γ1i+	γ1i+	VERB
ejpam-4987	350	5	γ2c−	γ2c−	PROPN
ejpam-4987	350	6	µr	µr	ADP
ejpam-4987	350	7			PROPN
ejpam-4987	350	8	and	and	CCONJ
ejpam-4987	350	9	g(x1	g(x1	NOUN
ejpam-4987	350	10	,	,	PUNCT
ejpam-4987	350	11	x2	x2	PROPN
ejpam-4987	350	12	)	)	PUNCT
ejpam-4987	351	1	=	=	PUNCT
ejpam-4987	351	2			PROPN
ejpam-4987	352	1	g1(x1	g1(x1	NOUN
ejpam-4987	352	2	,	,	PUNCT
ejpam-4987	352	3	x2	x2	PROPN
ejpam-4987	352	4	)	)	PUNCT
ejpam-4987	352	5	g2(x1	g2(x1	PROPN
ejpam-4987	352	6	,	,	PUNCT
ejpam-4987	352	7	x2	x2	PROPN
ejpam-4987	352	8	)	)	PUNCT
ejpam-4987	352	9	g3(x1	g3(x1	PROPN
ejpam-4987	352	10	,	,	PUNCT
ejpam-4987	352	11	x2	x2	NUM
ejpam-4987	352	12	)	)	PUNCT
ejpam-4987	352	13	g4(x1	g4(x1	NOUN
ejpam-4987	352	14	,	,	PUNCT
ejpam-4987	352	15	x2	x2	PROPN
ejpam-4987	352	16	)	)	PUNCT
ejpam-4987	352	17			PRON
ejpam-4987	352	18	where	where	SCONJ
ejpam-4987	352	19	each	each	DET
ejpam-4987	352	20	component	component	NOUN
ejpam-4987	352	21	is	be	AUX
ejpam-4987	352	22	defined	define	VERB
ejpam-4987	352	23	by	by	ADP
ejpam-4987	352	24	the	the	DET
ejpam-4987	352	25	following	follow	VERB
ejpam-4987	352	26	sense	sense	NOUN
ejpam-4987	352	27	g1(x1	g1(x1	NOUN
ejpam-4987	352	28	,	,	PUNCT
ejpam-4987	352	29	x2	x2	PROPN
ejpam-4987	352	30	)	)	PUNCT
ejpam-4987	353	1	=	=	SYM
ejpam-4987	353	2	α1s1(b1,3i+	α1s1(b1,3i+	PROPN
ejpam-4987	353	3	b1,4c	b1,4c	PROPN
ejpam-4987	353	4	)	)	PUNCT
ejpam-4987	354	1	+	+	CCONJ
ejpam-4987	354	2	α2s2(b2,3i+	α2s2(b2,3i+	PROPN
ejpam-4987	354	3	b2,4c	b2,4c	NUM
ejpam-4987	354	4	)	)	PUNCT
ejpam-4987	355	1	+	+	CCONJ
ejpam-4987	355	2	α3s3(b3,3i+	α3s3(b3,3i+	PROPN
ejpam-4987	355	3	b3,4c)−	b3,4c)−	NOUN
ejpam-4987	355	4	µei	µei	ADP
ejpam-4987	355	5	−	−	PROPN
ejpam-4987	355	6	δ1ei	δ1ei	PUNCT
ejpam-4987	356	1	+	+	CCONJ
ejpam-4987	356	2	iλi	iλi	PROPN
ejpam-4987	356	3	g2(x1	g2(x1	PROPN
ejpam-4987	356	4	,	,	PUNCT
ejpam-4987	356	5	x2	x2	PROPN
ejpam-4987	356	6	)	)	PUNCT
ejpam-4987	356	7	=	=	PUNCT
ejpam-4987	356	8	(	(	PUNCT
ejpam-4987	356	9	1−	1−	NUM
ejpam-4987	356	10	α1)s1(b1,3i+	α1)s1(b1,3i+	NUM
ejpam-4987	356	11	b1,4c	b1,4c	PROPN
ejpam-4987	356	12	)	)	PUNCT
ejpam-4987	356	13	+	+	CCONJ
ejpam-4987	356	14	(	(	PUNCT
ejpam-4987	356	15	1−	1−	NUM
ejpam-4987	356	16	α2)s2(b2,3i+	α2)s2(b2,3i+	NUM
ejpam-4987	356	17	b2,4c	b2,4c	NUM
ejpam-4987	356	18	)	)	PUNCT
ejpam-4987	356	19	+	+	CCONJ
ejpam-4987	356	20	(	(	PUNCT
ejpam-4987	356	21	1−	1−	NUM
ejpam-4987	356	22	α3)s3(b3,3i+	α3)s3(b3,3i+	NUM
ejpam-4987	356	23	b3,4c	b3,4c	PROPN
ejpam-4987	356	24	)	)	PUNCT
ejpam-4987	357	1	+	+	NUM
ejpam-4987	357	2	cλc	cλc	NOUN
ejpam-4987	357	3	−	−	PROPN
ejpam-4987	357	4	µec	µec	NOUN
ejpam-4987	357	5	−	−	PROPN
ejpam-4987	357	6	δ2ec	δ2ec	SYM
ejpam-4987	357	7	g3(x1	g3(x1	PROPN
ejpam-4987	357	8	,	,	PUNCT
ejpam-4987	357	9	x2	x2	PROPN
ejpam-4987	357	10	)	)	PUNCT
ejpam-4987	357	11	=	=	SYM
ejpam-4987	357	12	δ1ei	δ1ei	X
ejpam-4987	357	13	−	−	PUNCT
ejpam-4987	357	14	µi−	µi−	PUNCT
ejpam-4987	357	15	γii−	γii−	PROPN
ejpam-4987	357	16	µii	µii	NOUN
ejpam-4987	357	17	g4(x1	g4(x1	NOUN
ejpam-4987	357	18	,	,	PUNCT
ejpam-4987	357	19	x2	x2	PROPN
ejpam-4987	357	20	)	)	PUNCT
ejpam-4987	357	21	=	=	PUNCT
ejpam-4987	357	22	δ2ec	δ2ec	X
ejpam-4987	357	23	−	−	PROPN
ejpam-4987	357	24	µc−	µc−	PUNCT
ejpam-4987	357	25	γcc−	γcc−	PROPN
ejpam-4987	357	26	µcc	µcc	NOUN
ejpam-4987	357	27	.	.	PUNCT
ejpam-4987	358	1	w.-o	w.-o	PROPN
ejpam-4987	358	2	sawadogo	sawadogo	VERB
ejpam-4987	358	3	et	et	PROPN
ejpam-4987	358	4	al	al	PROPN
ejpam-4987	358	5	.	.	PUNCT
ejpam-4987	358	6	/	/	SYM
ejpam-4987	358	7	eur	eur	PROPN
ejpam-4987	358	8	.	.	PUNCT
ejpam-4987	359	1	j.	j.	PROPN
ejpam-4987	359	2	pure	pure	PROPN
ejpam-4987	359	3	appl	appl	PROPN
ejpam-4987	359	4	.	.	PROPN
ejpam-4987	359	5	math	math	PROPN
ejpam-4987	359	6	,	,	PUNCT
ejpam-4987	359	7	17	17	NUM
ejpam-4987	359	8	(	(	PUNCT
ejpam-4987	359	9	1	1	NUM
ejpam-4987	359	10	)	)	PUNCT
ejpam-4987	359	11	(	(	PUNCT
ejpam-4987	359	12	2024	2024	NUM
ejpam-4987	359	13	)	)	PUNCT
ejpam-4987	359	14	,	,	PUNCT
ejpam-4987	359	15	59	59	NUM
ejpam-4987	359	16	-	-	SYM
ejpam-4987	359	17	92	92	NUM
ejpam-4987	359	18	77	77	NUM
ejpam-4987	359	19	at	at	ADP
ejpam-4987	359	20	the	the	DET
ejpam-4987	359	21	dfe	dfe	PROPN
ejpam-4987	359	22	point	point	NOUN
ejpam-4987	359	23	,	,	PUNCT
ejpam-4987	359	24	it	it	PRON
ejpam-4987	359	25	is	be	AUX
ejpam-4987	359	26	clear	clear	ADJ
ejpam-4987	359	27	that	that	SCONJ
ejpam-4987	359	28	g(x1	g(x1	NOUN
ejpam-4987	359	29	,	,	PUNCT
ejpam-4987	359	30	0	0	NUM
ejpam-4987	359	31	)	)	PUNCT
ejpam-4987	359	32	=	=	SYM
ejpam-4987	360	1	0	0	X
ejpam-4987	360	2	.	.	PUNCT
ejpam-4987	361	1	now	now	ADV
ejpam-4987	361	2	,	,	PUNCT
ejpam-4987	361	3	we	we	PRON
ejpam-4987	361	4	need	need	VERB
ejpam-4987	361	5	to	to	PART
ejpam-4987	361	6	prove	prove	VERB
ejpam-4987	361	7	that	that	SCONJ
ejpam-4987	361	8	(	(	PUNCT
ejpam-4987	361	9	a1	a1	NOUN
ejpam-4987	361	10	)	)	PUNCT
ejpam-4987	361	11	is	be	AUX
ejpam-4987	361	12	satified	satifie	VERB
ejpam-4987	361	13	.	.	PUNCT
ejpam-4987	362	1	to	to	ADP
ejpam-4987	362	2	this	this	DET
ejpam-4987	362	3	aim	aim	NOUN
ejpam-4987	362	4	,	,	PUNCT
ejpam-4987	362	5	we	we	PRON
ejpam-4987	362	6	calculate	calculate	VERB
ejpam-4987	362	7	the	the	DET
ejpam-4987	362	8	eignvalues	eignvalue	NOUN
ejpam-4987	362	9	of	of	ADP
ejpam-4987	362	10	the	the	DET
ejpam-4987	362	11	jacobian	jacobian	ADJ
ejpam-4987	362	12	matrix	matrix	NOUN
ejpam-4987	362	13	associated	associate	VERB
ejpam-4987	362	14	to	to	ADP
ejpam-4987	362	15	f	f	PROPN
ejpam-4987	362	16	at	at	ADP
ejpam-4987	362	17	the	the	DET
ejpam-4987	362	18	dfe	dfe	PROPN
ejpam-4987	362	19	point	point	NOUN
ejpam-4987	362	20	.	.	PUNCT
ejpam-4987	363	1	dx1f	dx1f	NOUN
ejpam-4987	363	2	(	(	PUNCT
ejpam-4987	363	3	x0	x0	PROPN
ejpam-4987	363	4	)	)	PUNCT
ejpam-4987	363	5	=	=	PUNCT
ejpam-4987	363	6			ADJ
ejpam-4987	363	7	−(µ+	−(µ+	PROPN
ejpam-4987	363	8	p1	p1	PROPN
ejpam-4987	363	9	)	)	PUNCT
ejpam-4987	363	10	0	0	NUM
ejpam-4987	363	11	0	0	SYM
ejpam-4987	363	12	0	0	NUM
ejpam-4987	363	13	p1	p1	NOUN
ejpam-4987	363	14	−(µ+	−(µ+	PROPN
ejpam-4987	363	15	p2	p2	PROPN
ejpam-4987	363	16	)	)	PUNCT
ejpam-4987	363	17	0	0	NUM
ejpam-4987	363	18	0	0	NUM
ejpam-4987	363	19	0	0	NUM
ejpam-4987	363	20	p2	p2	NOUN
ejpam-4987	363	21	−µ	−µ	NOUN
ejpam-4987	363	22	0	0	NUM
ejpam-4987	363	23	0	0	NUM
ejpam-4987	363	24	0	0	NUM
ejpam-4987	363	25	0	0	NUM
ejpam-4987	363	26	−µ	−µ	NOUN
ejpam-4987	363	27			PROPN
ejpam-4987	363	28	(	(	PUNCT
ejpam-4987	363	29	21	21	NUM
ejpam-4987	363	30	)	)	PUNCT
ejpam-4987	363	31	since	since	SCONJ
ejpam-4987	363	32	the	the	DET
ejpam-4987	363	33	eigenvalues	eigenvalues	PROPN
ejpam-4987	363	34	ζ1	ζ1	NOUN
ejpam-4987	363	35	=	=	SYM
ejpam-4987	363	36	−(µ	−(µ	X
ejpam-4987	363	37	+	+	CCONJ
ejpam-4987	363	38	p1	p1	NOUN
ejpam-4987	363	39	)	)	PUNCT
ejpam-4987	363	40	,	,	PUNCT
ejpam-4987	363	41	ζ2	ζ2	NOUN
ejpam-4987	363	42	=	=	SYM
ejpam-4987	363	43	−(µ	−(µ	NOUN
ejpam-4987	363	44	+	+	CCONJ
ejpam-4987	363	45	p2	p2	NOUN
ejpam-4987	363	46	)	)	PUNCT
ejpam-4987	363	47	,	,	PUNCT
ejpam-4987	363	48	ζ3	ζ3	NOUN
ejpam-4987	363	49	=	=	SYM
ejpam-4987	363	50	−µ	−µ	NOUN
ejpam-4987	363	51	,	,	PUNCT
ejpam-4987	363	52	ζ4	ζ4	ADJ
ejpam-4987	363	53	=	=	SYM
ejpam-4987	363	54	−µ	−µ	NOUN
ejpam-4987	363	55	of	of	ADP
ejpam-4987	363	56	the	the	DET
ejpam-4987	363	57	jacobian	jacobian	ADJ
ejpam-4987	363	58	matrix	matrix	NOUN
ejpam-4987	363	59	are	be	AUX
ejpam-4987	363	60	negatives	negative	NOUN
ejpam-4987	363	61	,	,	PUNCT
ejpam-4987	363	62	then	then	ADV
ejpam-4987	363	63	the	the	DET
ejpam-4987	363	64	dfe	dfe	PROPN
ejpam-4987	363	65	point	point	NOUN
ejpam-4987	363	66	x0	x0	PROPN
ejpam-4987	363	67	is	be	AUX
ejpam-4987	363	68	globally	globally	ADV
ejpam-4987	363	69	asymptotically	asymptotically	ADV
ejpam-4987	363	70	stable	stable	ADJ
ejpam-4987	363	71	.	.	PUNCT
ejpam-4987	364	1	to	to	PART
ejpam-4987	364	2	derive	derive	VERB
ejpam-4987	364	3	the	the	DET
ejpam-4987	364	4	condition	condition	NOUN
ejpam-4987	364	5	(	(	PUNCT
ejpam-4987	364	6	a2	a2	PROPN
ejpam-4987	364	7	)	)	PUNCT
ejpam-4987	364	8	,	,	PUNCT
ejpam-4987	364	9	we	we	PRON
ejpam-4987	364	10	first	first	ADV
ejpam-4987	364	11	calculate	calculate	VERB
ejpam-4987	364	12	the	the	DET
ejpam-4987	364	13	matrix	matrix	NOUN
ejpam-4987	364	14	a	a	DET
ejpam-4987	364	15	=	=	SYM
ejpam-4987	364	16	dx2g(x0	dx2g(x0	NOUN
ejpam-4987	364	17	)	)	PUNCT
ejpam-4987	364	18	at	at	ADP
ejpam-4987	364	19	the	the	DET
ejpam-4987	364	20	dfe	dfe	PROPN
ejpam-4987	364	21	point	point	NOUN
ejpam-4987	364	22	a	a	DET
ejpam-4987	364	23	=	=	X
ejpam-4987	364	24			ADJ
ejpam-4987	364	25	−(µ+	−(µ+	NUM
ejpam-4987	364	26	δ1	δ1	NOUN
ejpam-4987	364	27	)	)	PUNCT
ejpam-4987	364	28	0	0	PUNCT
ejpam-4987	365	1	λi	λi	SYM
ejpam-4987	365	2	+	+	PROPN
ejpam-4987	365	3	θ1	θ1	NOUN
ejpam-4987	365	4	θ2	θ2	ADV
ejpam-4987	365	5	0	0	PROPN
ejpam-4987	365	6	−(µ+	−(µ+	NUM
ejpam-4987	365	7	δ2	δ2	ADJ
ejpam-4987	365	8	)	)	PUNCT
ejpam-4987	365	9	θ3	θ3	NOUN
ejpam-4987	365	10	λc	λc	PROPN
ejpam-4987	366	1	+	+	ADJ
ejpam-4987	366	2	θ4	θ4	NOUN
ejpam-4987	366	3	δ1	δ1	NOUN
ejpam-4987	366	4	0	0	NUM
ejpam-4987	366	5	−(µ+	−(µ+	NUM
ejpam-4987	366	6	γi	γi	PROPN
ejpam-4987	366	7	+	+	CCONJ
ejpam-4987	366	8	µi	µi	PROPN
ejpam-4987	366	9	)	)	PUNCT
ejpam-4987	366	10	0	0	NUM
ejpam-4987	366	11	0	0	NUM
ejpam-4987	367	1	δ2	δ2	ADJ
ejpam-4987	367	2	0	0	PUNCT
ejpam-4987	368	1	−(µ+	−(µ+	NUM
ejpam-4987	368	2	γc	γc	PROPN
ejpam-4987	368	3	+	+	CCONJ
ejpam-4987	368	4	µc	µc	PROPN
ejpam-4987	368	5	)	)	PUNCT
ejpam-4987	368	6			PROPN
ejpam-4987	368	7	(	(	PUNCT
ejpam-4987	368	8	22	22	NUM
ejpam-4987	368	9	)	)	PUNCT
ejpam-4987	369	1	where	where	SCONJ
ejpam-4987	369	2	θ1	θ1	NOUN
ejpam-4987	369	3	=	=	SYM
ejpam-4987	369	4	α1b1,3	α1b1,3	PROPN
ejpam-4987	369	5	λ	λ	PROPN
ejpam-4987	369	6	µ+	µ+	PUNCT
ejpam-4987	369	7	p1	p1	NOUN
ejpam-4987	369	8	+	+	CCONJ
ejpam-4987	369	9	α2b2,3	α2b2,3	NUM
ejpam-4987	369	10	p1λ	p1λ	PROPN
ejpam-4987	369	11	(	(	PUNCT
ejpam-4987	369	12	µ+	µ+	X
ejpam-4987	369	13	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	369	14	p2	p2	NOUN
ejpam-4987	369	15	)	)	PUNCT
ejpam-4987	369	16	+	+	CCONJ
ejpam-4987	369	17	α3b3,3	α3b3,3	NUM
ejpam-4987	369	18	p1p2λ	p1p2λ	NUM
ejpam-4987	369	19	µ(µ+	µ(µ+	NOUN
ejpam-4987	369	20	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	369	21	p2	p2	NOUN
ejpam-4987	369	22	)	)	PUNCT
ejpam-4987	369	23	θ2	θ2	PROPN
ejpam-4987	369	24	=	=	SYM
ejpam-4987	369	25	α1b1,4	α1b1,4	PROPN
ejpam-4987	369	26	λ	λ	PROPN
ejpam-4987	369	27	µ+	µ+	PUNCT
ejpam-4987	369	28	p1	p1	PROPN
ejpam-4987	369	29	+	+	CCONJ
ejpam-4987	369	30	α2b2,4	α2b2,4	PROPN
ejpam-4987	369	31	p1λ	p1λ	PROPN
ejpam-4987	369	32	(	(	PUNCT
ejpam-4987	369	33	µ+	µ+	X
ejpam-4987	369	34	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	369	35	p2	p2	NOUN
ejpam-4987	369	36	)	)	PUNCT
ejpam-4987	370	1	+	+	CCONJ
ejpam-4987	370	2	α3b3,4	α3b3,4	NUM
ejpam-4987	370	3	p1p2λ	p1p2λ	NUM
ejpam-4987	370	4	µ(µ+	µ(µ+	NOUN
ejpam-4987	370	5	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	370	6	p2	p2	NOUN
ejpam-4987	370	7	)	)	PUNCT
ejpam-4987	370	8	θ3	θ3	NOUN
ejpam-4987	370	9	=	=	SYM
ejpam-4987	370	10	(	(	PUNCT
ejpam-4987	370	11	1−	1−	NUM
ejpam-4987	370	12	α1)b1,3	α1)b1,3	PROPN
ejpam-4987	370	13	λ	λ	PROPN
ejpam-4987	370	14	µ+	µ+	PUNCT
ejpam-4987	370	15	p1	p1	PROPN
ejpam-4987	370	16	+	+	CCONJ
ejpam-4987	370	17	(	(	PUNCT
ejpam-4987	370	18	1−	1−	NUM
ejpam-4987	370	19	α2)b2,3	α2)b2,3	NUM
ejpam-4987	370	20	p1λ	p1λ	PROPN
ejpam-4987	370	21	(	(	PUNCT
ejpam-4987	370	22	µ+	µ+	X
ejpam-4987	370	23	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	370	24	p2	p2	NOUN
ejpam-4987	370	25	)	)	PUNCT
ejpam-4987	370	26	+	+	CCONJ
ejpam-4987	370	27	(	(	PUNCT
ejpam-4987	370	28	1−	1−	NUM
ejpam-4987	370	29	α3)b3,3	α3)b3,3	PROPN
ejpam-4987	370	30	p1p2λ	p1p2λ	X
ejpam-4987	370	31	µ(µ+	µ(µ+	NOUN
ejpam-4987	370	32	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	370	33	p2	p2	NOUN
ejpam-4987	370	34	)	)	PUNCT
ejpam-4987	370	35	θ4	θ4	NOUN
ejpam-4987	370	36	=	=	SYM
ejpam-4987	370	37	(	(	PUNCT
ejpam-4987	370	38	1−	1−	NUM
ejpam-4987	370	39	α1)b1,4	α1)b1,4	PROPN
ejpam-4987	370	40	λ	λ	PROPN
ejpam-4987	370	41	µ+	µ+	PUNCT
ejpam-4987	370	42	p1	p1	PROPN
ejpam-4987	370	43	+	+	CCONJ
ejpam-4987	370	44	(	(	PUNCT
ejpam-4987	370	45	1−	1−	NUM
ejpam-4987	370	46	α2)b2,4	α2)b2,4	PROPN
ejpam-4987	370	47	p1λ	p1λ	PROPN
ejpam-4987	370	48	(	(	PUNCT
ejpam-4987	370	49	µ+	µ+	X
ejpam-4987	370	50	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	370	51	p2	p2	NOUN
ejpam-4987	370	52	)	)	PUNCT
ejpam-4987	371	1	+	+	CCONJ
ejpam-4987	371	2	(	(	PUNCT
ejpam-4987	371	3	1−	1−	NUM
ejpam-4987	371	4	α3)b3,4	α3)b3,4	PROPN
ejpam-4987	371	5	p1p2λ	p1p2λ	X
ejpam-4987	371	6	µ(µ+	µ(µ+	NOUN
ejpam-4987	371	7	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	371	8	p2	p2	NOUN
ejpam-4987	371	9	)	)	PUNCT
ejpam-4987	371	10	(	(	PUNCT
ejpam-4987	371	11	23	23	NUM
ejpam-4987	371	12	)	)	PUNCT
ejpam-4987	371	13	it	it	PRON
ejpam-4987	371	14	is	be	AUX
ejpam-4987	371	15	clear	clear	ADJ
ejpam-4987	371	16	that	that	SCONJ
ejpam-4987	371	17	the	the	DET
ejpam-4987	371	18	matrix	matrix	NOUN
ejpam-4987	371	19	a	a	PRON
ejpam-4987	371	20	given	give	VERB
ejpam-4987	371	21	above	above	ADV
ejpam-4987	371	22	is	be	AUX
ejpam-4987	371	23	an	an	DET
ejpam-4987	371	24	m	m	NOUN
ejpam-4987	371	25	-	-	NOUN
ejpam-4987	371	26	matrix	matrix	NOUN
ejpam-4987	371	27	.	.	PUNCT
ejpam-4987	372	1	now	now	ADV
ejpam-4987	372	2	,	,	PUNCT
ejpam-4987	372	3	one	one	PRON
ejpam-4987	372	4	can	can	AUX
ejpam-4987	372	5	calculate	calculate	VERB
ejpam-4987	372	6	the	the	DET
ejpam-4987	372	7	following	follow	VERB
ejpam-4987	372	8	function	function	NOUN
ejpam-4987	372	9	ĝ(x1	ĝ(x1	PROPN
ejpam-4987	372	10	,	,	PUNCT
ejpam-4987	372	11	x2	x2	PROPN
ejpam-4987	372	12	)	)	PUNCT
ejpam-4987	372	13	.	.	PUNCT
ejpam-4987	373	1	we	we	PRON
ejpam-4987	373	2	have	have	VERB
ejpam-4987	373	3	ĝ(x1	ĝ(x1	ADJ
ejpam-4987	373	4	,	,	PUNCT
ejpam-4987	373	5	x2	x2	PROPN
ejpam-4987	373	6	)	)	PUNCT
ejpam-4987	373	7	=	=	PUNCT
ejpam-4987	373	8			ADJ
ejpam-4987	373	9	ĝ1(x1	ĝ1(x1	NOUN
ejpam-4987	373	10	,	,	PUNCT
ejpam-4987	373	11	x2	x2	NUM
ejpam-4987	373	12	)	)	PUNCT
ejpam-4987	373	13	ĝ2(x1	ĝ2(x1	NOUN
ejpam-4987	373	14	,	,	PUNCT
ejpam-4987	373	15	x2	x2	PROPN
ejpam-4987	373	16	)	)	PUNCT
ejpam-4987	373	17	0	0	NUM
ejpam-4987	373	18	0	0	NUM
ejpam-4987	374	1			NOUN
ejpam-4987	374	2	(	(	PUNCT
ejpam-4987	374	3	24	24	NUM
ejpam-4987	374	4	)	)	PUNCT
ejpam-4987	374	5	w.-o	w.-o	NOUN
ejpam-4987	374	6	sawadogo	sawadogo	VERB
ejpam-4987	374	7	et	et	PROPN
ejpam-4987	374	8	al	al	PROPN
ejpam-4987	374	9	.	.	PUNCT
ejpam-4987	374	10	/	/	SYM
ejpam-4987	374	11	eur	eur	PROPN
ejpam-4987	374	12	.	.	PUNCT
ejpam-4987	375	1	j.	j.	PROPN
ejpam-4987	375	2	pure	pure	PROPN
ejpam-4987	375	3	appl	appl	PROPN
ejpam-4987	375	4	.	.	PROPN
ejpam-4987	375	5	math	math	PROPN
ejpam-4987	375	6	,	,	PUNCT
ejpam-4987	375	7	17	17	NUM
ejpam-4987	375	8	(	(	PUNCT
ejpam-4987	375	9	1	1	NUM
ejpam-4987	375	10	)	)	PUNCT
ejpam-4987	375	11	(	(	PUNCT
ejpam-4987	375	12	2024	2024	NUM
ejpam-4987	375	13	)	)	PUNCT
ejpam-4987	375	14	,	,	PUNCT
ejpam-4987	375	15	59	59	NUM
ejpam-4987	375	16	-	-	SYM
ejpam-4987	375	17	92	92	NUM
ejpam-4987	375	18	78	78	NUM
ejpam-4987	375	19	ĝ1(x1	ĝ1(x1	NOUN
ejpam-4987	375	20	,	,	PUNCT
ejpam-4987	375	21	x2	x2	PROPN
ejpam-4987	375	22	)	)	PUNCT
ejpam-4987	375	23	=	=	PUNCT
ejpam-4987	375	24	−α1s1(b1,3i+	−α1s1(b1,3i+	PROPN
ejpam-4987	375	25	b1,4c)−	b1,4c)−	PROPN
ejpam-4987	375	26	α2s2(b2,3i+	α2s2(b2,3i+	PROPN
ejpam-4987	375	27	b2,4c)−	b2,4c)−	PUNCT
ejpam-4987	376	1	α3s3(b3,3i+	α3s3(b3,3i+	PROPN
ejpam-4987	376	2	b3,4c	b3,4c	PROPN
ejpam-4987	376	3	)	)	PUNCT
ejpam-4987	377	1	+	+	CCONJ
ejpam-4987	377	2	iθ1	iθ1	NOUN
ejpam-4987	377	3	+	+	CCONJ
ejpam-4987	377	4	cθ2	cθ2	NOUN
ejpam-4987	377	5	ĝ2(x1	ĝ2(x1	NOUN
ejpam-4987	377	6	,	,	PUNCT
ejpam-4987	377	7	x2	x2	PROPN
ejpam-4987	377	8	)	)	PUNCT
ejpam-4987	377	9	=	=	PUNCT
ejpam-4987	377	10	−(1−	−(1−	VERB
ejpam-4987	377	11	α1)s1(b1,3i+	α1)s1(b1,3i+	NUM
ejpam-4987	377	12	b1,4c)−	b1,4c)−	NUM
ejpam-4987	377	13	(	(	PUNCT
ejpam-4987	377	14	1−	1−	NUM
ejpam-4987	377	15	α2)s2(b2,3i+	α2)s2(b2,3i+	NUM
ejpam-4987	377	16	b2,4c)−	b2,4c)−	PROPN
ejpam-4987	377	17	(	(	PUNCT
ejpam-4987	377	18	1−	1−	NUM
ejpam-4987	377	19	α3)s3(b3,3i+	α3)s3(b3,3i+	NUM
ejpam-4987	377	20	b3,4c)+	b3,4c)+	PROPN
ejpam-4987	378	1	+	+	CCONJ
ejpam-4987	378	2	iθ3	iθ3	NOUN
ejpam-4987	378	3	+	+	CCONJ
ejpam-4987	378	4	cθ4	cθ4	NOUN
ejpam-4987	378	5	.	.	PUNCT
ejpam-4987	379	1	by	by	ADP
ejpam-4987	379	2	replacing	replace	VERB
ejpam-4987	379	3	θ1	θ1	NOUN
ejpam-4987	379	4	,	,	PUNCT
ejpam-4987	379	5	θ2	θ2	PROPN
ejpam-4987	379	6	,	,	PUNCT
ejpam-4987	379	7	θ3	θ3	NOUN
ejpam-4987	379	8	and	and	CCONJ
ejpam-4987	379	9	θ4	θ4	NOUN
ejpam-4987	379	10	by	by	ADP
ejpam-4987	379	11	their	their	PRON
ejpam-4987	379	12	expressions	expression	NOUN
ejpam-4987	379	13	given	give	VERB
ejpam-4987	379	14	in	in	ADP
ejpam-4987	379	15	(	(	PUNCT
ejpam-4987	379	16	23	23	NUM
ejpam-4987	379	17	)	)	PUNCT
ejpam-4987	379	18	,	,	PUNCT
ejpam-4987	379	19	one	one	PRON
ejpam-4987	379	20	obtains	obtain	VERB
ejpam-4987	379	21	the	the	DET
ejpam-4987	379	22	following	following	ADJ
ejpam-4987	379	23	result	result	NOUN
ejpam-4987	379	24	ĝ1(x1	ĝ1(x1	NOUN
ejpam-4987	379	25	,	,	PUNCT
ejpam-4987	379	26	x2	x2	PROPN
ejpam-4987	379	27	)	)	PUNCT
ejpam-4987	379	28	=	=	SYM
ejpam-4987	380	1	α1b1,3i	α1b1,3i	PROPN
ejpam-4987	380	2	(	(	PUNCT
ejpam-4987	380	3	λ	λ	PROPN
ejpam-4987	380	4	µ+	µ+	X
ejpam-4987	380	5	p1	p1	PROPN
ejpam-4987	380	6	−	−	PROPN
ejpam-4987	380	7	s1	s1	PROPN
ejpam-4987	380	8	)	)	PUNCT
ejpam-4987	380	9	+	+	SYM
ejpam-4987	380	10	α2b2,3i	α2b2,3i	NOUN
ejpam-4987	380	11	(	(	PUNCT
ejpam-4987	380	12	p1λ	p1λ	PROPN
ejpam-4987	380	13	(	(	PUNCT
ejpam-4987	380	14	µ+	µ+	X
ejpam-4987	380	15	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	380	16	p2	p2	NOUN
ejpam-4987	380	17	)	)	PUNCT
ejpam-4987	380	18	−	−	PROPN
ejpam-4987	380	19	s2	s2	PROPN
ejpam-4987	380	20	)	)	PUNCT
ejpam-4987	380	21	+	+	CCONJ
ejpam-4987	380	22	α3b3,3i	α3b3,3i	ADJ
ejpam-4987	380	23	(	(	PUNCT
ejpam-4987	380	24	p1p2λ	p1p2λ	NUM
ejpam-4987	380	25	µ(µ+	µ(µ+	NOUN
ejpam-4987	380	26	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	380	27	p2	p2	NOUN
ejpam-4987	380	28	)	)	PUNCT
ejpam-4987	380	29	−	−	ADP
ejpam-4987	381	1	s3)+	s3)+	PROPN
ejpam-4987	381	2	+	+	CCONJ
ejpam-4987	381	3	α1b1,4c	α1b1,4c	PROPN
ejpam-4987	381	4	(	(	PUNCT
ejpam-4987	381	5	λ	λ	PROPN
ejpam-4987	381	6	µ+	µ+	X
ejpam-4987	381	7	p1	p1	PROPN
ejpam-4987	381	8	−	−	PROPN
ejpam-4987	381	9	s1	s1	PROPN
ejpam-4987	381	10	)	)	PUNCT
ejpam-4987	381	11	+	+	SYM
ejpam-4987	381	12	α2b2,4c	α2b2,4c	PROPN
ejpam-4987	381	13	(	(	PUNCT
ejpam-4987	381	14	p1λ	p1λ	PROPN
ejpam-4987	381	15	(	(	PUNCT
ejpam-4987	381	16	µ+	µ+	X
ejpam-4987	381	17	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	381	18	p2	p2	NOUN
ejpam-4987	381	19	)	)	PUNCT
ejpam-4987	381	20	−	−	PROPN
ejpam-4987	381	21	s2	s2	PROPN
ejpam-4987	381	22	)	)	PUNCT
ejpam-4987	381	23	+	+	CCONJ
ejpam-4987	381	24	α3b3,4c	α3b3,4c	VERB
ejpam-4987	381	25	(	(	PUNCT
ejpam-4987	381	26	p1p2λ	p1p2λ	NUM
ejpam-4987	381	27	µ(µ+	µ(µ+	NOUN
ejpam-4987	381	28	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	381	29	p2	p2	NOUN
ejpam-4987	381	30	)	)	PUNCT
ejpam-4987	381	31	−	−	PROPN
ejpam-4987	381	32	s3	s3	PROPN
ejpam-4987	381	33	)	)	PUNCT
ejpam-4987	381	34	ĝ2(x1	ĝ2(x1	NOUN
ejpam-4987	381	35	,	,	PUNCT
ejpam-4987	381	36	x2	x2	PROPN
ejpam-4987	381	37	)	)	PUNCT
ejpam-4987	381	38	=	=	SYM
ejpam-4987	381	39	(	(	PUNCT
ejpam-4987	381	40	1−	1−	NUM
ejpam-4987	381	41	α1)b1,3i	α1)b1,3i	PROPN
ejpam-4987	381	42	(	(	PUNCT
ejpam-4987	381	43	λ	λ	PROPN
ejpam-4987	381	44	µ+	µ+	X
ejpam-4987	381	45	p1	p1	PROPN
ejpam-4987	381	46	−	−	PROPN
ejpam-4987	381	47	s1	s1	PROPN
ejpam-4987	381	48	)	)	PUNCT
ejpam-4987	381	49	+	+	CCONJ
ejpam-4987	381	50	(	(	PUNCT
ejpam-4987	381	51	1−	1−	NUM
ejpam-4987	381	52	α2)b2,3i	α2)b2,3i	PROPN
ejpam-4987	381	53	(	(	PUNCT
ejpam-4987	381	54	p1λ	p1λ	PROPN
ejpam-4987	381	55	(	(	PUNCT
ejpam-4987	381	56	µ+	µ+	X
ejpam-4987	381	57	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	381	58	p2	p2	NOUN
ejpam-4987	381	59	)	)	PUNCT
ejpam-4987	381	60	−	−	PROPN
ejpam-4987	381	61	s2)+	s2)+	ADJ
ejpam-4987	381	62	+	+	CCONJ
ejpam-4987	381	63	(	(	PUNCT
ejpam-4987	381	64	1−	1−	NUM
ejpam-4987	381	65	α3)b3,3i	α3)b3,3i	PROPN
ejpam-4987	381	66	(	(	PUNCT
ejpam-4987	381	67	p1p2λ	p1p2λ	NUM
ejpam-4987	381	68	µ(µ+	µ(µ+	NOUN
ejpam-4987	381	69	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	381	70	p2	p2	NOUN
ejpam-4987	381	71	)	)	PUNCT
ejpam-4987	381	72	−	−	PROPN
ejpam-4987	381	73	s3	s3	PROPN
ejpam-4987	381	74	)	)	PUNCT
ejpam-4987	381	75	+	+	CCONJ
ejpam-4987	381	76	(	(	PUNCT
ejpam-4987	381	77	1−	1−	NUM
ejpam-4987	381	78	α1)b1,4c	α1)b1,4c	NUM
ejpam-4987	381	79	(	(	PUNCT
ejpam-4987	381	80	λ	λ	PROPN
ejpam-4987	381	81	µ+	µ+	X
ejpam-4987	381	82	p1	p1	PROPN
ejpam-4987	381	83	−	−	PROPN
ejpam-4987	381	84	s1)+	s1)+	PROPN
ejpam-4987	381	85	+	+	CCONJ
ejpam-4987	381	86	(	(	PUNCT
ejpam-4987	381	87	1−	1−	NUM
ejpam-4987	381	88	α2)b2,4c	α2)b2,4c	NOUN
ejpam-4987	381	89	(	(	PUNCT
ejpam-4987	381	90	p1λ	p1λ	PROPN
ejpam-4987	381	91	(	(	PUNCT
ejpam-4987	381	92	µ+	µ+	X
ejpam-4987	381	93	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	381	94	p2	p2	NOUN
ejpam-4987	381	95	)	)	PUNCT
ejpam-4987	381	96	−	−	PROPN
ejpam-4987	381	97	s2	s2	PROPN
ejpam-4987	381	98	)	)	PUNCT
ejpam-4987	381	99	+	+	CCONJ
ejpam-4987	381	100	(	(	PUNCT
ejpam-4987	381	101	1−	1−	NUM
ejpam-4987	381	102	α3)b3,4c	α3)b3,4c	NUM
ejpam-4987	381	103	(	(	PUNCT
ejpam-4987	381	104	p1p2λ	p1p2λ	NUM
ejpam-4987	381	105	µ(µ+	µ(µ+	NOUN
ejpam-4987	381	106	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	381	107	p2	p2	NOUN
ejpam-4987	381	108	)	)	PUNCT
ejpam-4987	381	109	−	−	PROPN
ejpam-4987	381	110	s3	s3	PROPN
ejpam-4987	381	111	)	)	PUNCT
ejpam-4987	381	112	thanks	thank	NOUN
ejpam-4987	381	113	to	to	ADP
ejpam-4987	381	114	theorem	theorem	VERB
ejpam-4987	381	115	1	1	NUM
ejpam-4987	381	116	,	,	PUNCT
ejpam-4987	381	117	ii	ii	NOUN
ejpam-4987	381	118	)	)	PUNCT
ejpam-4987	381	119	,	,	PUNCT
ejpam-4987	381	120	one	one	PRON
ejpam-4987	381	121	gets	get	VERB
ejpam-4987	381	122	the	the	DET
ejpam-4987	381	123	following	follow	VERB
ejpam-4987	381	124	result	result	NOUN
ejpam-4987	381	125	λ	λ	PROPN
ejpam-4987	381	126	µ+	µ+	PROPN
ejpam-4987	381	127	p1	p1	PROPN
ejpam-4987	381	128	−	−	PROPN
ejpam-4987	381	129	s1	s1	PROPN
ejpam-4987	381	130	≥	≥	NOUN
ejpam-4987	381	131	0	0	NUM
ejpam-4987	381	132	,	,	PUNCT
ejpam-4987	381	133	p1λ	p1λ	PROPN
ejpam-4987	381	134	(	(	PUNCT
ejpam-4987	381	135	µ+	µ+	X
ejpam-4987	381	136	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	381	137	p2	p2	NOUN
ejpam-4987	381	138	)	)	PUNCT
ejpam-4987	381	139	−	−	PROPN
ejpam-4987	381	140	s2	s2	PROPN
ejpam-4987	381	141	≥	≥	NUM
ejpam-4987	381	142	0	0	NUM
ejpam-4987	381	143	,	,	PUNCT
ejpam-4987	381	144	p1p2λ	p1p2λ	NUM
ejpam-4987	381	145	µ(µ+	µ(µ+	NUM
ejpam-4987	381	146	p1)(µ+	p1)(µ+	NOUN
ejpam-4987	381	147	p2	p2	NOUN
ejpam-4987	381	148	)	)	PUNCT
ejpam-4987	381	149	−	−	PROPN
ejpam-4987	381	150	s3	s3	PROPN
ejpam-4987	381	151	≥	≥	NOUN
ejpam-4987	381	152	0	0	NUM
ejpam-4987	381	153	.	.	PUNCT
ejpam-4987	382	1	since	since	SCONJ
ejpam-4987	382	2	i	i	PRON
ejpam-4987	382	3	,	,	PUNCT
ejpam-4987	382	4	c	c	PROPN
ejpam-4987	382	5	,	,	PUNCT
ejpam-4987	382	6	b1,3	b1,3	PROPN
ejpam-4987	382	7	,	,	PUNCT
ejpam-4987	382	8	b1,3	b1,3	PROPN
ejpam-4987	382	9	,	,	PUNCT
ejpam-4987	382	10	b2,3	b2,3	PROPN
ejpam-4987	382	11	,	,	PUNCT
ejpam-4987	382	12	b3,3	b3,3	PROPN
ejpam-4987	382	13	,	,	PUNCT
ejpam-4987	382	14	b1,4	b1,4	PROPN
ejpam-4987	382	15	,	,	PUNCT
ejpam-4987	382	16	b2,4	b2,4	NOUN
ejpam-4987	382	17	,	,	PUNCT
ejpam-4987	382	18	b3,3	b3,3	PROPN
ejpam-4987	382	19	are	be	AUX
ejpam-4987	382	20	nonnegatives	nonnegative	NOUN
ejpam-4987	382	21	,	,	PUNCT
ejpam-4987	382	22	and	and	CCONJ
ejpam-4987	382	23	0	0	NUM
ejpam-4987	382	24	≤	≤	NOUN
ejpam-4987	382	25	αk	αk	CCONJ
ejpam-4987	382	26	≤	≤	NUM
ejpam-4987	382	27	1	1	NUM
ejpam-4987	382	28	for	for	ADP
ejpam-4987	382	29	k	k	PROPN
ejpam-4987	382	30	=	=	SYM
ejpam-4987	382	31	1	1	NUM
ejpam-4987	382	32	,	,	PUNCT
ejpam-4987	382	33	2	2	NUM
ejpam-4987	382	34	,	,	PUNCT
ejpam-4987	382	35	3	3	NUM
ejpam-4987	382	36	,	,	PUNCT
ejpam-4987	382	37	the	the	DET
ejpam-4987	382	38	following	following	ADJ
ejpam-4987	382	39	result	result	NOUN
ejpam-4987	382	40	is	be	AUX
ejpam-4987	382	41	obtained	obtain	VERB
ejpam-4987	382	42	ĝ1(x1	ĝ1(x1	NOUN
ejpam-4987	382	43	,	,	PUNCT
ejpam-4987	382	44	x2	x2	NUM
ejpam-4987	382	45	)	)	PUNCT
ejpam-4987	382	46	≥	≥	NOUN
ejpam-4987	382	47	0	0	NUM
ejpam-4987	382	48	,	,	PUNCT
ejpam-4987	382	49	ĝ2(x1	ĝ2(x1	ADJ
ejpam-4987	382	50	,	,	PUNCT
ejpam-4987	382	51	x2	x2	NUM
ejpam-4987	382	52	)	)	PUNCT
ejpam-4987	382	53	≥	≥	NOUN
ejpam-4987	382	54	0	0	NUM
ejpam-4987	382	55	.	.	PUNCT
ejpam-4987	383	1	consequently	consequently	ADV
ejpam-4987	383	2	,	,	PUNCT
ejpam-4987	383	3	the	the	DET
ejpam-4987	383	4	hypothesis	hypothesis	NOUN
ejpam-4987	383	5	(	(	PUNCT
ejpam-4987	383	6	a1	a1	NOUN
ejpam-4987	383	7	)	)	PUNCT
ejpam-4987	383	8	and	and	CCONJ
ejpam-4987	383	9	(	(	PUNCT
ejpam-4987	383	10	a2	a2	PROPN
ejpam-4987	383	11	)	)	PUNCT
ejpam-4987	383	12	are	be	AUX
ejpam-4987	383	13	satisfied	satisfied	ADJ
ejpam-4987	383	14	.	.	PUNCT
ejpam-4987	384	1	moreover	moreover	ADV
ejpam-4987	384	2	,	,	PUNCT
ejpam-4987	384	3	one	one	PRON
ejpam-4987	384	4	uses	use	VERB
ejpam-4987	384	5	castillo	castillo	PROPN
ejpam-4987	384	6	chavez	chavez	PROPN
ejpam-4987	385	1	[	[	X
ejpam-4987	385	2	6	6	NUM
ejpam-4987	385	3	]	]	PUNCT
ejpam-4987	385	4	technique	technique	NOUN
ejpam-4987	385	5	to	to	PART
ejpam-4987	385	6	conclude	conclude	VERB
ejpam-4987	385	7	that	that	SCONJ
ejpam-4987	385	8	if	if	SCONJ
ejpam-4987	385	9	r0	r0	NOUN
ejpam-4987	385	10	<	<	X
ejpam-4987	385	11	1	1	NUM
ejpam-4987	385	12	then	then	ADV
ejpam-4987	385	13	the	the	DET
ejpam-4987	385	14	dfe	dfe	PROPN
ejpam-4987	385	15	point	point	NOUN
ejpam-4987	385	16	is	be	AUX
ejpam-4987	385	17	globally	globally	ADV
ejpam-4987	385	18	asymptotically	asymptotically	ADV
ejpam-4987	385	19	stable	stable	ADJ
ejpam-4987	385	20	.	.	PUNCT
ejpam-4987	386	1	5	5	X
ejpam-4987	386	2	.	.	X
ejpam-4987	386	3	endemic	endemic	ADJ
ejpam-4987	386	4	equilibrium	equilibrium	NOUN
ejpam-4987	386	5	point	point	NOUN
ejpam-4987	386	6	e∗	e∗	NOUN
ejpam-4987	386	7	in	in	ADP
ejpam-4987	386	8	this	this	DET
ejpam-4987	386	9	section	section	NOUN
ejpam-4987	386	10	,	,	PUNCT
ejpam-4987	386	11	the	the	DET
ejpam-4987	386	12	global	global	ADJ
ejpam-4987	386	13	stability	stability	NOUN
ejpam-4987	386	14	analysis	analysis	NOUN
ejpam-4987	386	15	of	of	ADP
ejpam-4987	386	16	the	the	DET
ejpam-4987	386	17	proposed	propose	VERB
ejpam-4987	386	18	model	model	NOUN
ejpam-4987	386	19	problem	problem	NOUN
ejpam-4987	386	20	for	for	ADP
ejpam-4987	386	21	the	the	DET
ejpam-4987	386	22	endemic	endemic	ADJ
ejpam-4987	386	23	equilibrium	equilibrium	NOUN
ejpam-4987	386	24	point	point	NOUN
ejpam-4987	386	25	is	be	AUX
ejpam-4987	386	26	studied	study	VERB
ejpam-4987	386	27	.	.	PUNCT
ejpam-4987	387	1	to	to	PART
ejpam-4987	387	2	prove	prove	VERB
ejpam-4987	387	3	this	this	DET
ejpam-4987	387	4	result	result	NOUN
ejpam-4987	387	5	,	,	PUNCT
ejpam-4987	387	6	lyapunov	lyapunov	ADJ
ejpam-4987	387	7	functions	function	NOUN
ejpam-4987	387	8	are	be	AUX
ejpam-4987	387	9	used	use	VERB
ejpam-4987	387	10	.	.	PUNCT
ejpam-4987	388	1	the	the	DET
ejpam-4987	388	2	concept	concept	NOUN
ejpam-4987	388	3	of	of	ADP
ejpam-4987	388	4	global	global	ADJ
ejpam-4987	388	5	asymptotic	asymptotic	ADJ
ejpam-4987	388	6	stability	stability	NOUN
ejpam-4987	388	7	refers	refer	VERB
ejpam-4987	388	8	to	to	ADP
ejpam-4987	388	9	the	the	DET
ejpam-4987	388	10	property	property	NOUN
ejpam-4987	388	11	that	that	PRON
ejpam-4987	388	12	if	if	SCONJ
ejpam-4987	388	13	a	a	DET
ejpam-4987	388	14	system	system	NOUN
ejpam-4987	388	15	starts	start	VERB
ejpam-4987	388	16	near	near	ADP
ejpam-4987	388	17	the	the	DET
ejpam-4987	388	18	endemic	endemic	ADJ
ejpam-4987	388	19	point	point	NOUN
ejpam-4987	388	20	,	,	PUNCT
ejpam-4987	388	21	it	it	PRON
ejpam-4987	388	22	will	will	AUX
ejpam-4987	388	23	eventually	eventually	ADV
ejpam-4987	388	24	converge	converge	VERB
ejpam-4987	388	25	to	to	ADP
ejpam-4987	388	26	that	that	DET
ejpam-4987	388	27	point	point	NOUN
ejpam-4987	388	28	.	.	PUNCT
ejpam-4987	389	1	w.-o	w.-o	NOUN
ejpam-4987	389	2	sawadogo	sawadogo	VERB
ejpam-4987	389	3	et	et	PROPN
ejpam-4987	389	4	al	al	PROPN
ejpam-4987	389	5	.	.	PUNCT
ejpam-4987	389	6	/	/	SYM
ejpam-4987	389	7	eur	eur	PROPN
ejpam-4987	389	8	.	.	PUNCT
ejpam-4987	390	1	j.	j.	PROPN
ejpam-4987	390	2	pure	pure	PROPN
ejpam-4987	390	3	appl	appl	PROPN
ejpam-4987	390	4	.	.	PROPN
ejpam-4987	390	5	math	math	PROPN
ejpam-4987	390	6	,	,	PUNCT
ejpam-4987	390	7	17	17	NUM
ejpam-4987	390	8	(	(	PUNCT
ejpam-4987	390	9	1	1	NUM
ejpam-4987	390	10	)	)	PUNCT
ejpam-4987	390	11	(	(	PUNCT
ejpam-4987	390	12	2024	2024	NUM
ejpam-4987	390	13	)	)	PUNCT
ejpam-4987	390	14	,	,	PUNCT
ejpam-4987	390	15	59	59	NUM
ejpam-4987	390	16	-	-	SYM
ejpam-4987	390	17	92	92	NUM
ejpam-4987	390	18	79	79	NUM
ejpam-4987	390	19	5.1	5.1	NUM
ejpam-4987	390	20	.	.	PUNCT
ejpam-4987	391	1	exixtence	exixtence	NOUN
ejpam-4987	391	2	of	of	ADP
ejpam-4987	391	3	e∗	e∗	PROPN
ejpam-4987	391	4	theorem	theorem	VERB
ejpam-4987	391	5	4	4	NUM
ejpam-4987	391	6	.	.	PUNCT
ejpam-4987	391	7	system	system	NOUN
ejpam-4987	391	8	(	(	PUNCT
ejpam-4987	391	9	1	1	X
ejpam-4987	391	10	)	)	PUNCT
ejpam-4987	391	11	admits	admit	VERB
ejpam-4987	391	12	a	a	DET
ejpam-4987	391	13	unique	unique	ADJ
ejpam-4987	391	14	positive	positive	ADJ
ejpam-4987	391	15	emdemic	emdemic	ADJ
ejpam-4987	391	16	equilibrium	equilibrium	NOUN
ejpam-4987	391	17	e∗	e∗	NOUN
ejpam-4987	392	1	=	=	SYM
ejpam-4987	392	2	(	(	PUNCT
ejpam-4987	392	3	s∗	s∗	PROPN
ejpam-4987	392	4	1	1	NUM
ejpam-4987	392	5	,	,	PUNCT
ejpam-4987	392	6	s	s	NOUN
ejpam-4987	392	7	∗	∗	NOUN
ejpam-4987	392	8	2	2	NUM
ejpam-4987	392	9	,	,	PUNCT
ejpam-4987	392	10	s	s	NOUN
ejpam-4987	392	11	∗	∗	NOUN
ejpam-4987	392	12	3	3	NUM
ejpam-4987	392	13	,	,	PUNCT
ejpam-4987	392	14	e	e	NOUN
ejpam-4987	392	15	∗	∗	NOUN
ejpam-4987	392	16	i	i	PRON
ejpam-4987	392	17	,	,	PUNCT
ejpam-4987	392	18	e	e	X
ejpam-4987	392	19	∗	∗	NOUN
ejpam-4987	392	20	c	c	NOUN
ejpam-4987	392	21	,	,	PUNCT
ejpam-4987	392	22	i	i	PRON
ejpam-4987	392	23	∗	∗	NOUN
ejpam-4987	392	24	,	,	PUNCT
ejpam-4987	392	25	c∗	c∗	NOUN
ejpam-4987	392	26	,	,	PUNCT
ejpam-4987	392	27	r∗	r∗	PROPN
ejpam-4987	392	28	)	)	PUNCT
ejpam-4987	392	29	whenever	whenever	SCONJ
ejpam-4987	392	30	r0	r0	NOUN
ejpam-4987	392	31	>	>	X
ejpam-4987	392	32	1	1	NUM
ejpam-4987	392	33	proof	proof	NOUN
ejpam-4987	392	34	.	.	PUNCT
ejpam-4987	393	1	by	by	ADP
ejpam-4987	393	2	seting	set	VERB
ejpam-4987	393	3	the	the	DET
ejpam-4987	393	4	right	right	ADJ
ejpam-4987	393	5	hand	hand	NOUN
ejpam-4987	393	6	side	side	NOUN
ejpam-4987	393	7	of	of	ADP
ejpam-4987	393	8	system	system	NOUN
ejpam-4987	393	9	(	(	PUNCT
ejpam-4987	393	10	1	1	X
ejpam-4987	393	11	)	)	PUNCT
ejpam-4987	393	12	equal	equal	ADJ
ejpam-4987	393	13	to	to	ADP
ejpam-4987	393	14	zero	zero	NUM
ejpam-4987	393	15	,	,	PUNCT
ejpam-4987	393	16	and	and	CCONJ
ejpam-4987	393	17	keeping	keep	VERB
ejpam-4987	393	18	each	each	DET
ejpam-4987	393	19	state	state	NOUN
ejpam-4987	393	20	variable	variable	ADJ
ejpam-4987	393	21	non	non	ADJ
ejpam-4987	393	22	-	-	ADJ
ejpam-4987	393	23	zero	zero	NUM
ejpam-4987	393	24	(	(	PUNCT
ejpam-4987	393	25	s1	s1	PROPN
ejpam-4987	393	26	̸=	̸=	PROPN
ejpam-4987	393	27	0	0	NUM
ejpam-4987	393	28	,	,	PUNCT
ejpam-4987	393	29	s2	s2	NOUN
ejpam-4987	393	30	̸=	̸=	PROPN
ejpam-4987	393	31	0	0	NUM
ejpam-4987	393	32	,	,	PUNCT
ejpam-4987	393	33	s3	s3	PROPN
ejpam-4987	393	34	̸=	̸=	PROPN
ejpam-4987	393	35	0	0	NUM
ejpam-4987	393	36	,	,	PUNCT
ejpam-4987	393	37	ei	ei	ADP
ejpam-4987	393	38	̸=	̸=	PROPN
ejpam-4987	393	39	0	0	NUM
ejpam-4987	393	40	,	,	PUNCT
ejpam-4987	393	41	ec	ec	PROPN
ejpam-4987	393	42	̸=	̸=	PROPN
ejpam-4987	393	43	0	0	NUM
ejpam-4987	393	44	,	,	PUNCT
ejpam-4987	393	45	i	i	PRON
ejpam-4987	393	46	̸=	̸=	PROPN
ejpam-4987	393	47	0	0	NUM
ejpam-4987	393	48	,	,	PUNCT
ejpam-4987	393	49	c	c	PROPN
ejpam-4987	393	50	̸=	̸=	PROPN
ejpam-4987	393	51	0	0	NUM
ejpam-4987	393	52	,	,	PUNCT
ejpam-4987	393	53	r	r	NOUN
ejpam-4987	393	54	̸=	̸=	PROPN
ejpam-4987	393	55	0	0	NUM
ejpam-4987	393	56	)	)	PUNCT
ejpam-4987	393	57	,	,	PUNCT
ejpam-4987	393	58	then	then	ADV
ejpam-4987	393	59	one	one	NUM
ejpam-4987	393	60	obtains	obtain	VERB
ejpam-4987	393	61	s∗	s∗	PROPN
ejpam-4987	393	62	1	1	NUM
ejpam-4987	393	63	=	=	SYM
ejpam-4987	393	64	λ−	λ−	PROPN
ejpam-4987	393	65	λii	λii	NOUN
ejpam-4987	393	66	∗	∗	NOUN
ejpam-4987	393	67	−	−	PROPN
ejpam-4987	394	1	λcc	λcc	DET
ejpam-4987	394	2	∗	∗	NOUN
ejpam-4987	394	3	µ+	µ+	X
ejpam-4987	394	4	p1	p1	PROPN
ejpam-4987	394	5	+	+	CCONJ
ejpam-4987	394	6	β1,1e∗	β1,1e∗	CCONJ
ejpam-4987	394	7	i	i	PRON
ejpam-4987	394	8	+	+	CCONJ
ejpam-4987	394	9	β1,2e∗	β1,2e∗	X
ejpam-4987	394	10	c	c	NOUN
ejpam-4987	394	11	+	+	CCONJ
ejpam-4987	394	12	β1,3i∗	β1,3i∗	PUNCT
ejpam-4987	394	13	+	+	NUM
ejpam-4987	394	14	β1,4c∗	β1,4c∗	NOUN
ejpam-4987	394	15	,	,	PUNCT
ejpam-4987	394	16	s∗	s∗	PROPN
ejpam-4987	394	17	2	2	NUM
ejpam-4987	394	18	=	=	SYM
ejpam-4987	394	19	p1s	p1	NOUN
ejpam-4987	394	20	∗	∗	VERB
ejpam-4987	394	21	1	1	NUM
ejpam-4987	394	22	µ+	µ+	DET
ejpam-4987	394	23	p2	p2	PROPN
ejpam-4987	394	24	+	+	CCONJ
ejpam-4987	394	25	β2,1e∗	β2,1e∗	PUNCT
ejpam-4987	394	26	i	i	PRON
ejpam-4987	395	1	+	+	CCONJ
ejpam-4987	395	2	β2,2e∗	β2,2e∗	PUNCT
ejpam-4987	395	3	c	c	X
ejpam-4987	395	4	+	+	PUNCT
ejpam-4987	395	5	β2,3i∗	β2,3i∗	PUNCT
ejpam-4987	395	6	+	+	CCONJ
ejpam-4987	395	7	β2,4c∗	β2,4c∗	VERB
ejpam-4987	395	8	,	,	PUNCT
ejpam-4987	395	9	s∗	s∗	PROPN
ejpam-4987	395	10	3	3	NUM
ejpam-4987	395	11	=	=	SYM
ejpam-4987	395	12	p2s	p2s	PROPN
ejpam-4987	395	13	∗	∗	NOUN
ejpam-4987	395	14	2	2	NUM
ejpam-4987	395	15	µβ3,1e∗	µβ3,1e∗	PROPN
ejpam-4987	395	16	i	i	NOUN
ejpam-4987	396	1	+	+	X
ejpam-4987	396	2	β3,2e∗	β3,2e∗	X
ejpam-4987	396	3	c	c	NOUN
ejpam-4987	396	4	+	+	PUNCT
ejpam-4987	396	5	β3,3i∗	β3,3i∗	PUNCT
ejpam-4987	396	6	+	+	NUM
ejpam-4987	396	7	β3,4c∗	β3,4c∗	NUM
ejpam-4987	396	8	,	,	PUNCT
ejpam-4987	396	9	e∗	e∗	NOUN
ejpam-4987	397	1	i	i	PRON
ejpam-4987	397	2	=	=	SYM
ejpam-4987	397	3	λii	λii	X
ejpam-4987	397	4	∗	∗	NOUN
ejpam-4987	397	5	+	+	X
ejpam-4987	397	6	λcc	λcc	CCONJ
ejpam-4987	398	1	∗α1	∗α1	PROPN
ejpam-4987	398	2	(	(	PUNCT
ejpam-4987	398	3	β1,2e	β1,2e	X
ejpam-4987	398	4	∗	∗	NOUN
ejpam-4987	398	5	cs	cs	PROPN
ejpam-4987	398	6	∗	∗	NOUN
ejpam-4987	398	7	1	1	NUM
ejpam-4987	398	8	−	−	NOUN
ejpam-4987	398	9	β1,3i	β1,3i	PROPN
ejpam-4987	398	10	∗s∗	∗s∗	NUM
ejpam-4987	398	11	1	1	NUM
ejpam-4987	398	12	−	−	PROPN
ejpam-4987	398	13	β1,4c	β1,4c	SYM
ejpam-4987	398	14	∗s∗	∗s∗	NUM
ejpam-4987	398	15	1	1	NUM
ejpam-4987	398	16	)	)	PUNCT
ejpam-4987	398	17	µ+	µ+	DET
ejpam-4987	398	18	δ1	δ1	NOUN
ejpam-4987	398	19	−	−	PROPN
ejpam-4987	398	20	α1β1,1s∗	α1β1,1s∗	NUM
ejpam-4987	398	21	1	1	NUM
ejpam-4987	398	22	−	−	NOUN
ejpam-4987	398	23	α2β2,1s∗	α2β2,1s∗	NUM
ejpam-4987	398	24	2	2	NUM
ejpam-4987	398	25	−	−	PROPN
ejpam-4987	398	26	α3β3,1s∗	α3β3,1s∗	NUM
ejpam-4987	398	27	3	3	NUM
ejpam-4987	398	28	+	+	NOUN
ejpam-4987	398	29	α2(β2,2e	α2(β2,2e	ADJ
ejpam-4987	398	30	∗	∗	NOUN
ejpam-4987	398	31	cs	cs	PROPN
ejpam-4987	398	32	∗	∗	NOUN
ejpam-4987	398	33	2	2	NUM
ejpam-4987	398	34	−	−	PROPN
ejpam-4987	398	35	β2,3i	β2,3i	PROPN
ejpam-4987	398	36	∗s∗	∗s∗	NUM
ejpam-4987	398	37	2	2	NUM
ejpam-4987	398	38	−	−	PROPN
ejpam-4987	398	39	β2,4c	β2,4c	PROPN
ejpam-4987	398	40	∗s∗	∗s∗	NUM
ejpam-4987	398	41	2	2	NUM
ejpam-4987	398	42	)	)	PUNCT
ejpam-4987	398	43	+	+	NUM
ejpam-4987	398	44	α3(β3,2e	α3(β3,2e	NOUN
ejpam-4987	398	45	∗	∗	VERB
ejpam-4987	398	46	cs	cs	PROPN
ejpam-4987	398	47	∗	∗	NOUN
ejpam-4987	398	48	3	3	NUM
ejpam-4987	398	49	−	−	NOUN
ejpam-4987	398	50	β3,3i	β3,3i	PROPN
ejpam-4987	398	51	∗s∗	∗s∗	NUM
ejpam-4987	398	52	3	3	NUM
ejpam-4987	398	53	−	−	PROPN
ejpam-4987	398	54	β3,4c	β3,4c	PROPN
ejpam-4987	398	55	∗s∗	∗s∗	NUM
ejpam-4987	398	56	3	3	NUM
ejpam-4987	398	57	+	+	CCONJ
ejpam-4987	398	58	β2,5	β2,5	PROPN
ejpam-4987	398	59	t	t	PROPN
ejpam-4987	398	60	∗s∗	∗s∗	NUM
ejpam-4987	398	61	3	3	NUM
ejpam-4987	398	62	)	)	PUNCT
ejpam-4987	398	63	µ+	µ+	DET
ejpam-4987	398	64	δ1	δ1	NOUN
ejpam-4987	398	65	−	−	PROPN
ejpam-4987	398	66	α1β1,1s∗	α1β1,1s∗	NUM
ejpam-4987	398	67	1	1	NUM
ejpam-4987	398	68	−	−	NOUN
ejpam-4987	398	69	α2β2,1s∗	α2β2,1s∗	NUM
ejpam-4987	398	70	2	2	NUM
ejpam-4987	398	71	−	−	PROPN
ejpam-4987	398	72	α3β3,1s∗	α3β3,1s∗	NUM
ejpam-4987	398	73	3	3	NUM
ejpam-4987	398	74	,	,	PUNCT
ejpam-4987	398	75	e∗	e∗	PROPN
ejpam-4987	398	76	c	c	NOUN
ejpam-4987	398	77	=	=	SYM
ejpam-4987	398	78	λii	λii	X
ejpam-4987	398	79	∗	∗	NOUN
ejpam-4987	398	80	+	+	X
ejpam-4987	398	81	λcc	λcc	CCONJ
ejpam-4987	398	82	∗	∗	NOUN
ejpam-4987	398	83	+	+	CCONJ
ejpam-4987	398	84	(	(	PUNCT
ejpam-4987	398	85	1−	1−	NUM
ejpam-4987	398	86	α1)(β1,1e	α1)(β1,1e	NUM
ejpam-4987	398	87	∗	∗	NOUN
ejpam-4987	398	88	is	be	AUX
ejpam-4987	398	89	∗	∗	NOUN
ejpam-4987	398	90	1	1	NUM
ejpam-4987	399	1	−	−	NOUN
ejpam-4987	399	2	β1,3i	β1,3i	PROPN
ejpam-4987	399	3	∗s∗	∗s∗	NUM
ejpam-4987	399	4	1	1	NUM
ejpam-4987	399	5	−	−	PROPN
ejpam-4987	399	6	β1,4c	β1,4c	SYM
ejpam-4987	399	7	∗s∗	∗s∗	NUM
ejpam-4987	399	8	1	1	NUM
ejpam-4987	399	9	)	)	PUNCT
ejpam-4987	399	10	µ+	µ+	DET
ejpam-4987	399	11	δ2	δ2	VERB
ejpam-4987	399	12	−	−	NOUN
ejpam-4987	399	13	α1β1,1s∗	α1β1,1s∗	NUM
ejpam-4987	399	14	1	1	NUM
ejpam-4987	399	15	−	−	NOUN
ejpam-4987	399	16	α2β2,1s∗	α2β2,1s∗	NUM
ejpam-4987	399	17	2	2	NUM
ejpam-4987	399	18	−	−	NOUN
ejpam-4987	399	19	α3β3,1s∗	α3β3,1s∗	NUM
ejpam-4987	399	20	3	3	NUM
ejpam-4987	399	21	+	+	CCONJ
ejpam-4987	399	22	(	(	PUNCT
ejpam-4987	399	23	1−	1−	NUM
ejpam-4987	399	24	α2)(β2,1e	α2)(β2,1e	NUM
ejpam-4987	399	25	∗	∗	NOUN
ejpam-4987	399	26	is	be	AUX
ejpam-4987	399	27	∗	∗	NOUN
ejpam-4987	399	28	2	2	NUM
ejpam-4987	399	29	−	−	PROPN
ejpam-4987	399	30	β2,3i	β2,3i	PROPN
ejpam-4987	399	31	∗s∗	∗s∗	NUM
ejpam-4987	399	32	2	2	NUM
ejpam-4987	399	33	−	−	PROPN
ejpam-4987	399	34	β2,4c	β2,4c	PROPN
ejpam-4987	399	35	∗s∗	∗s∗	NUM
ejpam-4987	399	36	2	2	NUM
ejpam-4987	399	37	)	)	PUNCT
ejpam-4987	399	38	+	+	CCONJ
ejpam-4987	399	39	(	(	PUNCT
ejpam-4987	399	40	1−	1−	NUM
ejpam-4987	399	41	α3)(β3,1e	α3)(β3,1e	PROPN
ejpam-4987	399	42	∗	∗	NOUN
ejpam-4987	399	43	is	be	AUX
ejpam-4987	399	44	∗	∗	NOUN
ejpam-4987	399	45	3	3	NUM
ejpam-4987	399	46	−	−	NOUN
ejpam-4987	400	1	β3,3i	β3,3i	PROPN
ejpam-4987	400	2	∗s∗	∗s∗	NUM
ejpam-4987	400	3	3	3	NUM
ejpam-4987	400	4	−	−	PROPN
ejpam-4987	400	5	β3,4c	β3,4c	PROPN
ejpam-4987	400	6	∗s∗	∗s∗	NUM
ejpam-4987	400	7	3	3	NUM
ejpam-4987	400	8	)	)	PUNCT
ejpam-4987	400	9	µ+	µ+	PUNCT
ejpam-4987	400	10	δ2	δ2	VERB
ejpam-4987	400	11	−	−	NOUN
ejpam-4987	400	12	α1β1,1s∗	α1β1,1s∗	NUM
ejpam-4987	400	13	1	1	NUM
ejpam-4987	400	14	−	−	NOUN
ejpam-4987	400	15	α2β2,1s∗	α2β2,1s∗	NUM
ejpam-4987	400	16	2	2	NUM
ejpam-4987	400	17	−	−	PROPN
ejpam-4987	400	18	α3β3,1s∗	α3β3,1s∗	NUM
ejpam-4987	400	19	3	3	NUM
ejpam-4987	400	20	,	,	PUNCT
ejpam-4987	400	21	i∗	i∗	NOUN
ejpam-4987	400	22	=	=	PUNCT
ejpam-4987	400	23	δ1e	δ1e	VERB
ejpam-4987	400	24	∗	∗	NOUN
ejpam-4987	400	25	i	i	PRON
ejpam-4987	400	26	µ+	µ+	X
ejpam-4987	400	27	γi	γi	X
ejpam-4987	400	28	+	+	CCONJ
ejpam-4987	400	29	µi	µi	PROPN
ejpam-4987	400	30	,	,	PUNCT
ejpam-4987	400	31	c∗	c∗	PROPN
ejpam-4987	400	32	=	=	SYM
ejpam-4987	400	33	δ2e	δ2e	PROPN
ejpam-4987	400	34	∗	∗	PROPN
ejpam-4987	400	35	c	c	PROPN
ejpam-4987	400	36	µ+	µ+	X
ejpam-4987	400	37	γc	γc	PROPN
ejpam-4987	400	38	+	+	CCONJ
ejpam-4987	400	39	µc	µc	INTJ
ejpam-4987	400	40	,	,	PUNCT
ejpam-4987	400	41	r∗	r∗	ADJ
ejpam-4987	400	42	=	=	SYM
ejpam-4987	400	43	γii	γii	NOUN
ejpam-4987	400	44	∗	∗	NOUN
ejpam-4987	400	45	+	+	CCONJ
ejpam-4987	400	46	γcc	γcc	PROPN
ejpam-4987	400	47	∗	∗	X
ejpam-4987	400	48	µ	µ	X
ejpam-4987	400	49	5.2	5.2	NUM
ejpam-4987	400	50	.	.	PUNCT
ejpam-4987	401	1	global	global	ADJ
ejpam-4987	401	2	stability	stability	NOUN
ejpam-4987	401	3	of	of	ADP
ejpam-4987	401	4	e∗	e∗	NOUN
ejpam-4987	401	5	in	in	ADP
ejpam-4987	401	6	this	this	DET
ejpam-4987	401	7	subsubsection	subsubsection	NOUN
ejpam-4987	401	8	,	,	PUNCT
ejpam-4987	401	9	by	by	ADP
ejpam-4987	401	10	constructing	construct	VERB
ejpam-4987	401	11	suitable	suitable	ADJ
ejpam-4987	401	12	lyapunov	lyapunov	NOUN
ejpam-4987	401	13	function	function	NOUN
ejpam-4987	401	14	,	,	PUNCT
ejpam-4987	401	15	we	we	PRON
ejpam-4987	401	16	will	will	AUX
ejpam-4987	401	17	prove	prove	VERB
ejpam-4987	401	18	the	the	DET
ejpam-4987	401	19	global	global	ADJ
ejpam-4987	401	20	asymptotic	asymptotic	ADJ
ejpam-4987	401	21	stability	stability	NOUN
ejpam-4987	401	22	of	of	ADP
ejpam-4987	401	23	the	the	DET
ejpam-4987	401	24	endemic	endemic	ADJ
ejpam-4987	401	25	equilibrium	equilibrium	NOUN
ejpam-4987	401	26	point	point	NOUN
ejpam-4987	401	27	e∗.	e∗.	NOUN
ejpam-4987	401	28	theorem	theorem	VERB
ejpam-4987	401	29	5	5	NUM
ejpam-4987	401	30	.	.	PUNCT
ejpam-4987	402	1	if	if	SCONJ
ejpam-4987	402	2	r0	r0	NOUN
ejpam-4987	402	3	>	>	X
ejpam-4987	402	4	1	1	NUM
ejpam-4987	402	5	,	,	PUNCT
ejpam-4987	402	6	the	the	DET
ejpam-4987	402	7	global	global	ADJ
ejpam-4987	402	8	endemic	endemic	ADJ
ejpam-4987	402	9	equilibrium	equilibrium	NOUN
ejpam-4987	402	10	point	point	NOUN
ejpam-4987	402	11	e∗	e∗	NOUN
ejpam-4987	402	12	of	of	ADP
ejpam-4987	402	13	the	the	DET
ejpam-4987	402	14	system	system	NOUN
ejpam-4987	402	15	(	(	PUNCT
ejpam-4987	402	16	1	1	X
ejpam-4987	402	17	)	)	PUNCT
ejpam-4987	402	18	is	be	AUX
ejpam-4987	402	19	globally	globally	ADV
ejpam-4987	402	20	asymptotically	asymptotically	ADV
ejpam-4987	402	21	stable	stable	ADJ
ejpam-4987	402	22	..	..	PUNCT
ejpam-4987	402	23	proof	proof	NOUN
ejpam-4987	402	24	.	.	PUNCT
ejpam-4987	403	1	when	when	SCONJ
ejpam-4987	403	2	r0	r0	NOUN
ejpam-4987	403	3	>	>	X
ejpam-4987	403	4	1	1	NUM
ejpam-4987	403	5	,	,	PUNCT
ejpam-4987	403	6	one	one	PRON
ejpam-4987	403	7	can	can	AUX
ejpam-4987	403	8	define	define	VERB
ejpam-4987	403	9	the	the	DET
ejpam-4987	403	10	following	follow	VERB
ejpam-4987	403	11	lyapunov	lyapunov	NOUN
ejpam-4987	403	12	function	function	NOUN
ejpam-4987	403	13	as	as	ADP
ejpam-4987	403	14	in	in	ADP
ejpam-4987	403	15	[	[	X
ejpam-4987	403	16	4	4	NUM
ejpam-4987	403	17	,	,	PUNCT
ejpam-4987	403	18	23	23	NUM
ejpam-4987	403	19	,	,	PUNCT
ejpam-4987	403	20	25	25	NUM
ejpam-4987	403	21	,	,	PUNCT
ejpam-4987	403	22	26	26	NUM
ejpam-4987	403	23	,	,	PUNCT
ejpam-4987	403	24	30	30	NUM
ejpam-4987	403	25	]	]	PUNCT
ejpam-4987	403	26	:	:	PUNCT
ejpam-4987	403	27	w.-o	w.-o	PROPN
ejpam-4987	403	28	sawadogo	sawadogo	VERB
ejpam-4987	403	29	et	et	PROPN
ejpam-4987	403	30	al	al	PROPN
ejpam-4987	403	31	.	.	PUNCT
ejpam-4987	403	32	/	/	SYM
ejpam-4987	403	33	eur	eur	PROPN
ejpam-4987	403	34	.	.	PUNCT
ejpam-4987	404	1	j.	j.	PROPN
ejpam-4987	404	2	pure	pure	PROPN
ejpam-4987	404	3	appl	appl	PROPN
ejpam-4987	404	4	.	.	PROPN
ejpam-4987	404	5	math	math	PROPN
ejpam-4987	404	6	,	,	PUNCT
ejpam-4987	404	7	17	17	NUM
ejpam-4987	404	8	(	(	PUNCT
ejpam-4987	404	9	1	1	NUM
ejpam-4987	404	10	)	)	PUNCT
ejpam-4987	404	11	(	(	PUNCT
ejpam-4987	404	12	2024	2024	NUM
ejpam-4987	404	13	)	)	PUNCT
ejpam-4987	404	14	,	,	PUNCT
ejpam-4987	404	15	59	59	NUM
ejpam-4987	404	16	-	-	SYM
ejpam-4987	404	17	92	92	NUM
ejpam-4987	404	18	80	80	NUM
ejpam-4987	404	19	v	v	NOUN
ejpam-4987	404	20	=	=	PUNCT
ejpam-4987	404	21	(	(	PUNCT
ejpam-4987	404	22	s1	s1	PROPN
ejpam-4987	404	23	−	−	PROPN
ejpam-4987	404	24	s∗	s∗	PROPN
ejpam-4987	404	25	1	1	NUM
ejpam-4987	404	26	)	)	PUNCT
ejpam-4987	405	1	+	+	CCONJ
ejpam-4987	405	2	(	(	PUNCT
ejpam-4987	405	3	s2	s2	PROPN
ejpam-4987	405	4	−	−	PROPN
ejpam-4987	405	5	s∗	s∗	PROPN
ejpam-4987	405	6	2	2	NUM
ejpam-4987	405	7	)	)	PUNCT
ejpam-4987	405	8	+	+	CCONJ
ejpam-4987	405	9	(	(	PUNCT
ejpam-4987	405	10	s3	s3	PROPN
ejpam-4987	405	11	−	−	PROPN
ejpam-4987	405	12	s∗	s∗	PROPN
ejpam-4987	405	13	3	3	NUM
ejpam-4987	405	14	)	)	PUNCT
ejpam-4987	406	1	+	+	CCONJ
ejpam-4987	406	2	(	(	PUNCT
ejpam-4987	406	3	ei	ei	ADP
ejpam-4987	406	4	−	−	PROPN
ejpam-4987	406	5	e∗	e∗	PROPN
ejpam-4987	406	6	i	i	PRON
ejpam-4987	406	7	)	)	PUNCT
ejpam-4987	407	1	+	+	CCONJ
ejpam-4987	407	2	(	(	PUNCT
ejpam-4987	407	3	ec	ec	PROPN
ejpam-4987	407	4	−	−	PROPN
ejpam-4987	407	5	e∗	e∗	PROPN
ejpam-4987	407	6	c	c	NOUN
ejpam-4987	407	7	)	)	PUNCT
ejpam-4987	408	1	+	+	CCONJ
ejpam-4987	408	2	(	(	PUNCT
ejpam-4987	408	3	i	i	PRON
ejpam-4987	408	4	−	−	PROPN
ejpam-4987	408	5	i∗)+	i∗)+	NOUN
ejpam-4987	408	6	+	+	CCONJ
ejpam-4987	408	7	(	(	PUNCT
ejpam-4987	408	8	c	c	NOUN
ejpam-4987	408	9	−	−	PROPN
ejpam-4987	408	10	c∗	c∗	NOUN
ejpam-4987	408	11	)	)	PUNCT
ejpam-4987	409	1	+	+	CCONJ
ejpam-4987	409	2	(	(	PUNCT
ejpam-4987	409	3	r−r∗)−	r−r∗)−	X
ejpam-4987	409	4	(	(	PUNCT
ejpam-4987	409	5	s∗	s∗	PROPN
ejpam-4987	409	6	1	1	NUM
ejpam-4987	409	7	+	+	CCONJ
ejpam-4987	409	8	s∗	s∗	PROPN
ejpam-4987	409	9	2	2	NUM
ejpam-4987	409	10	+	+	CCONJ
ejpam-4987	409	11	s∗	s∗	PROPN
ejpam-4987	409	12	3	3	NUM
ejpam-4987	409	13	+	+	CCONJ
ejpam-4987	409	14	e∗	e∗	PROPN
ejpam-4987	409	15	i	i	PROPN
ejpam-4987	409	16	+	+	CCONJ
ejpam-4987	409	17	e∗	e∗	PROPN
ejpam-4987	409	18	c	c	PROPN
ejpam-4987	409	19	+	+	CCONJ
ejpam-4987	409	20	i∗	i∗	NOUN
ejpam-4987	409	21	+	+	CCONJ
ejpam-4987	409	22	c∗	c∗	ADJ
ejpam-4987	409	23	+	+	PROPN
ejpam-4987	409	24	+	+	ADJ
ejpam-4987	409	25	r∗)×	r∗)×	PRON
ejpam-4987	409	26	ln	ln	ADJ
ejpam-4987	409	27	(	(	PUNCT
ejpam-4987	409	28	s1	s1	NOUN
ejpam-4987	409	29	+	+	CCONJ
ejpam-4987	409	30	s2	s2	NOUN
ejpam-4987	409	31	+	+	CCONJ
ejpam-4987	409	32	s3	s3	PROPN
ejpam-4987	409	33	+	+	CCONJ
ejpam-4987	409	34	ei	ei	X
ejpam-4987	409	35	+	+	CCONJ
ejpam-4987	409	36	ec	ec	PROPN
ejpam-4987	409	37	+	+	CCONJ
ejpam-4987	409	38	i	i	PRON
ejpam-4987	409	39	+	+	NUM
ejpam-4987	409	40	c	c	NOUN
ejpam-4987	410	1	+	+	NOUN
ejpam-4987	410	2	r	r	NOUN
ejpam-4987	410	3	s∗	s∗	NOUN
ejpam-4987	410	4	1	1	NUM
ejpam-4987	410	5	+	+	CCONJ
ejpam-4987	410	6	s∗	s∗	PROPN
ejpam-4987	410	7	2	2	NUM
ejpam-4987	410	8	+	+	CCONJ
ejpam-4987	410	9	s∗	s∗	PROPN
ejpam-4987	410	10	3	3	NUM
ejpam-4987	410	11	+	+	CCONJ
ejpam-4987	410	12	e∗	e∗	PROPN
ejpam-4987	410	13	i	i	PROPN
ejpam-4987	410	14	+	+	CCONJ
ejpam-4987	410	15	e∗	e∗	PROPN
ejpam-4987	410	16	c	c	PROPN
ejpam-4987	410	17	+	+	CCONJ
ejpam-4987	410	18	i∗	i∗	NOUN
ejpam-4987	410	19	+	+	CCONJ
ejpam-4987	410	20	c∗	c∗	ADJ
ejpam-4987	410	21	+	+	NOUN
ejpam-4987	410	22	r∗	r∗	NOUN
ejpam-4987	410	23	)	)	PUNCT
ejpam-4987	410	24	(	(	PUNCT
ejpam-4987	410	25	25	25	NUM
ejpam-4987	410	26	)	)	PUNCT
ejpam-4987	410	27	as	as	ADP
ejpam-4987	410	28	n	n	NOUN
ejpam-4987	410	29	=	=	SYM
ejpam-4987	410	30	s1	s1	PROPN
ejpam-4987	410	31	+	+	CCONJ
ejpam-4987	410	32	s2	s2	NOUN
ejpam-4987	410	33	+	+	CCONJ
ejpam-4987	410	34	s3	s3	PROPN
ejpam-4987	410	35	+	+	CCONJ
ejpam-4987	410	36	ei	ei	X
ejpam-4987	410	37	+	+	CCONJ
ejpam-4987	410	38	ec	ec	PROPN
ejpam-4987	411	1	+	+	CCONJ
ejpam-4987	411	2	i	i	PRON
ejpam-4987	411	3	+	+	NUM
ejpam-4987	411	4	c	c	NOUN
ejpam-4987	412	1	+	+	NOUN
ejpam-4987	412	2	r	r	NOUN
ejpam-4987	412	3	,	,	PUNCT
ejpam-4987	412	4	one	one	PRON
ejpam-4987	412	5	can	can	AUX
ejpam-4987	412	6	set	set	VERB
ejpam-4987	412	7	n∗	n∗	PROPN
ejpam-4987	412	8	=	=	PRON
ejpam-4987	412	9	s∗	s∗	PROPN
ejpam-4987	412	10	1	1	NUM
ejpam-4987	412	11	+	+	CCONJ
ejpam-4987	412	12	s∗	s∗	PROPN
ejpam-4987	412	13	2	2	NUM
ejpam-4987	412	14	+	+	CCONJ
ejpam-4987	412	15	s∗	s∗	PROPN
ejpam-4987	412	16	3	3	NUM
ejpam-4987	413	1	+	+	CCONJ
ejpam-4987	413	2	e∗	e∗	PROPN
ejpam-4987	413	3	i	i	PROPN
ejpam-4987	413	4	+	+	CCONJ
ejpam-4987	413	5	e∗	e∗	PROPN
ejpam-4987	413	6	c	c	PROPN
ejpam-4987	413	7	+	+	CCONJ
ejpam-4987	413	8	i∗	i∗	NOUN
ejpam-4987	414	1	+	+	CCONJ
ejpam-4987	414	2	c∗	c∗	ADJ
ejpam-4987	414	3	+	+	NOUN
ejpam-4987	414	4	r∗.	r∗.	NOUN
ejpam-4987	414	5	then	then	ADV
ejpam-4987	414	6	,	,	PUNCT
ejpam-4987	414	7	the	the	DET
ejpam-4987	414	8	lyapunov	lyapunov	ADJ
ejpam-4987	414	9	function	function	NOUN
ejpam-4987	414	10	can	can	AUX
ejpam-4987	414	11	also	also	ADV
ejpam-4987	414	12	be	be	AUX
ejpam-4987	414	13	rewriten	rewriten	VERB
ejpam-4987	414	14	as	as	SCONJ
ejpam-4987	414	15	follows	follow	VERB
ejpam-4987	414	16	:	:	PUNCT
ejpam-4987	414	17	v	v	NOUN
ejpam-4987	414	18	=	=	SYM
ejpam-4987	414	19	n	n	PRON
ejpam-4987	414	20	−n∗	−n∗	NOUN
ejpam-4987	414	21	−n∗ln	−n∗ln	PUNCT
ejpam-4987	414	22	n	n	PRON
ejpam-4987	414	23	n∗	n∗	VERB
ejpam-4987	414	24	v	v	NOUN
ejpam-4987	414	25	=	=	SYM
ejpam-4987	414	26	n∗	n∗	PROPN
ejpam-4987	414	27	(	(	PUNCT
ejpam-4987	414	28	n	n	X
ejpam-4987	414	29	n∗	n∗	PROPN
ejpam-4987	414	30	−	−	PROPN
ejpam-4987	414	31	1−	1−	NUM
ejpam-4987	414	32	ln	ln	NOUN
ejpam-4987	414	33	n	n	X
ejpam-4987	414	34	n∗	n∗	PROPN
ejpam-4987	414	35	)	)	PUNCT
ejpam-4987	414	36	(	(	PUNCT
ejpam-4987	414	37	26	26	NUM
ejpam-4987	414	38	)	)	PUNCT
ejpam-4987	414	39	we	we	PRON
ejpam-4987	414	40	shall	shall	AUX
ejpam-4987	414	41	use	use	VERB
ejpam-4987	414	42	the	the	DET
ejpam-4987	414	43	family	family	NOUN
ejpam-4987	414	44	of	of	ADP
ejpam-4987	414	45	volterra	volterra	NOUN
ejpam-4987	414	46	-	-	PUNCT
ejpam-4987	414	47	type	type	NOUN
ejpam-4987	414	48	lyapunov	lyapunov	NOUN
ejpam-4987	414	49	function	function	NOUN
ejpam-4987	414	50	defined	define	VERB
ejpam-4987	414	51	by	by	ADP
ejpam-4987	414	52	g(x	g(x	NOUN
ejpam-4987	414	53	)	)	PUNCT
ejpam-4987	414	54	=	=	SYM
ejpam-4987	415	1	x−1−ln(x	x−1−ln(x	PROPN
ejpam-4987	415	2	)	)	PUNCT
ejpam-4987	416	1	,	,	PUNCT
ejpam-4987	416	2	x	x	PUNCT
ejpam-4987	416	3	∈	∈	PROPN
ejpam-4987	416	4	r+	r+	NOUN
ejpam-4987	416	5	which	which	PRON
ejpam-4987	416	6	admits	admit	VERB
ejpam-4987	416	7	a	a	DET
ejpam-4987	416	8	global	global	ADJ
ejpam-4987	416	9	mimnimun	mimnimun	ADJ
ejpam-4987	416	10	at	at	ADP
ejpam-4987	416	11	x	x	X
ejpam-4987	416	12	=	=	SYM
ejpam-4987	416	13	1	1	NUM
ejpam-4987	416	14	,	,	PUNCT
ejpam-4987	416	15	and	and	CCONJ
ejpam-4987	416	16	satisfies	satisfy	VERB
ejpam-4987	416	17	g(1	g(1	NOUN
ejpam-4987	416	18	)	)	PUNCT
ejpam-4987	416	19	=	=	PUNCT
ejpam-4987	416	20	0	0	X
ejpam-4987	416	21	.	.	PUNCT
ejpam-4987	416	22	since	since	SCONJ
ejpam-4987	416	23	s1(t	s1(t	NOUN
ejpam-4987	416	24	)	)	PUNCT
ejpam-4987	416	25	>	>	X
ejpam-4987	416	26	0	0	NUM
ejpam-4987	416	27	,	,	PUNCT
ejpam-4987	416	28	s2(t	s2(t	PROPN
ejpam-4987	416	29	)	)	PUNCT
ejpam-4987	416	30	>	>	X
ejpam-4987	416	31	0	0	NUM
ejpam-4987	416	32	,	,	PUNCT
ejpam-4987	416	33	s3(t	s3(t	NUM
ejpam-4987	416	34	)	)	PUNCT
ejpam-4987	416	35	>	>	X
ejpam-4987	416	36	0	0	NUM
ejpam-4987	416	37	,	,	PUNCT
ejpam-4987	416	38	ei(t	ei(t	NUM
ejpam-4987	416	39	)	)	PUNCT
ejpam-4987	416	40	>	>	X
ejpam-4987	416	41	0	0	NUM
ejpam-4987	416	42	,	,	PUNCT
ejpam-4987	416	43	ec(t	ec(t	NOUN
ejpam-4987	416	44	)	)	PUNCT
ejpam-4987	416	45	>	>	X
ejpam-4987	416	46	0	0	NUM
ejpam-4987	416	47	,	,	PUNCT
ejpam-4987	416	48	i(t	i(t	PROPN
ejpam-4987	416	49	)	)	PUNCT
ejpam-4987	416	50	>	>	X
ejpam-4987	416	51	0	0	NUM
ejpam-4987	416	52	,	,	PUNCT
ejpam-4987	416	53	c(t	c(t	PROPN
ejpam-4987	416	54	)	)	PUNCT
ejpam-4987	416	55	>	>	X
ejpam-4987	416	56	0	0	NUM
ejpam-4987	416	57	,	,	PUNCT
ejpam-4987	416	58	r(t	r(t	NOUN
ejpam-4987	416	59	)	)	PUNCT
ejpam-4987	416	60	>	>	X
ejpam-4987	416	61	0	0	PUNCT
ejpam-4987	416	62	,	,	PUNCT
ejpam-4987	416	63	then	then	ADV
ejpam-4987	416	64	one	one	PRON
ejpam-4987	416	65	can	can	AUX
ejpam-4987	416	66	obtain	obtain	VERB
ejpam-4987	416	67	the	the	DET
ejpam-4987	416	68	following	follow	VERB
ejpam-4987	416	69	v	v	NOUN
ejpam-4987	416	70	=	=	SYM
ejpam-4987	416	71	n	n	PRON
ejpam-4987	416	72	−n∗	−n∗	NOUN
ejpam-4987	416	73	−n∗ln	−n∗ln	PUNCT
ejpam-4987	416	74	n	n	PRON
ejpam-4987	416	75	n∗	n∗	PROPN
ejpam-4987	416	76	≥	≥	X
ejpam-4987	416	77	0	0	NUM
ejpam-4987	416	78	(	(	PUNCT
ejpam-4987	416	79	27	27	NUM
ejpam-4987	416	80	)	)	PUNCT
ejpam-4987	416	81	therefore	therefore	ADV
ejpam-4987	416	82	,	,	PUNCT
ejpam-4987	416	83	the	the	DET
ejpam-4987	416	84	lyapunov	lyapunov	NOUN
ejpam-4987	416	85	function	function	VERB
ejpam-4987	416	86	v	v	ADP
ejpam-4987	416	87	derivative	derivative	NOUN
ejpam-4987	416	88	is	be	AUX
ejpam-4987	416	89	given	give	VERB
ejpam-4987	416	90	by	by	ADP
ejpam-4987	416	91	the	the	DET
ejpam-4987	416	92	following	follow	VERB
ejpam-4987	416	93	sense	sense	NOUN
ejpam-4987	416	94	dv	dv	PROPN
ejpam-4987	416	95	dt	dt	X
ejpam-4987	416	96	=	=	PUNCT
ejpam-4987	416	97	(	(	PUNCT
ejpam-4987	416	98	1−	1−	NUM
ejpam-4987	416	99	n∗	n∗	PROPN
ejpam-4987	416	100	n	n	PART
ejpam-4987	416	101	)	)	PUNCT
ejpam-4987	416	102	dn	dn	NOUN
ejpam-4987	416	103	dt	dt	PROPN
ejpam-4987	416	104	(	(	PUNCT
ejpam-4987	416	105	28	28	NUM
ejpam-4987	416	106	)	)	PUNCT
ejpam-4987	416	107	note	note	VERB
ejpam-4987	416	108	that	that	SCONJ
ejpam-4987	416	109	according	accord	VERB
ejpam-4987	416	110	to	to	ADP
ejpam-4987	416	111	system	system	NOUN
ejpam-4987	416	112	(	(	PUNCT
ejpam-4987	416	113	1	1	X
ejpam-4987	416	114	)	)	PUNCT
ejpam-4987	416	115	dn	dn	NOUN
ejpam-4987	416	116	dt	dt	NOUN
ejpam-4987	417	1	=	=	SYM
ejpam-4987	417	2	λ−	λ−	PROPN
ejpam-4987	417	3	µii	µii	NOUN
ejpam-4987	417	4	−	−	PROPN
ejpam-4987	417	5	µcc	µcc	NOUN
ejpam-4987	417	6	−	−	PROPN
ejpam-4987	417	7	µn	µn	PROPN
ejpam-4987	417	8	(	(	PUNCT
ejpam-4987	417	9	29	29	NUM
ejpam-4987	417	10	)	)	PUNCT
ejpam-4987	417	11	as	as	ADP
ejpam-4987	417	12	at	at	ADP
ejpam-4987	417	13	the	the	DET
ejpam-4987	417	14	endemic	endemic	ADJ
ejpam-4987	417	15	equilibrium	equilibrium	NOUN
ejpam-4987	417	16	point	point	NOUN
ejpam-4987	417	17	dn	dn	NOUN
ejpam-4987	417	18	dt	dt	NOUN
ejpam-4987	418	1	=	=	SYM
ejpam-4987	418	2	0	0	NUM
ejpam-4987	418	3	,	,	PUNCT
ejpam-4987	418	4	then	then	ADV
ejpam-4987	418	5	one	one	NUM
ejpam-4987	418	6	obtains	obtain	VERB
ejpam-4987	418	7	λ	λ	NOUN
ejpam-4987	418	8	=	=	NOUN
ejpam-4987	418	9	µii	µii	NOUN
ejpam-4987	418	10	∗	∗	NOUN
ejpam-4987	418	11	+	+	CCONJ
ejpam-4987	418	12	µcc	µcc	NOUN
ejpam-4987	418	13	∗	∗	NOUN
ejpam-4987	418	14	+	+	CCONJ
ejpam-4987	418	15	µn∗	µn∗	NOUN
ejpam-4987	418	16	(	(	PUNCT
ejpam-4987	418	17	30	30	NUM
ejpam-4987	418	18	)	)	PUNCT
ejpam-4987	418	19	from	from	ADP
ejpam-4987	418	20	(	(	PUNCT
ejpam-4987	418	21	28	28	NUM
ejpam-4987	418	22	)	)	PUNCT
ejpam-4987	418	23	,	,	PUNCT
ejpam-4987	418	24	(	(	PUNCT
ejpam-4987	418	25	29	29	NUM
ejpam-4987	418	26	)	)	PUNCT
ejpam-4987	418	27	,	,	PUNCT
ejpam-4987	418	28	(	(	PUNCT
ejpam-4987	418	29	30	30	NUM
ejpam-4987	418	30	)	)	PUNCT
ejpam-4987	418	31	,	,	PUNCT
ejpam-4987	418	32	and	and	CCONJ
ejpam-4987	418	33	by	by	ADP
ejpam-4987	418	34	assuming	assume	VERB
ejpam-4987	418	35	that	that	SCONJ
ejpam-4987	418	36	n	n	PRON
ejpam-4987	418	37	−n∗	−n∗	PROPN
ejpam-4987	418	38	≥	≥	NUM
ejpam-4987	418	39	0	0	NUM
ejpam-4987	418	40	,	,	PUNCT
ejpam-4987	418	41	i	i	PRON
ejpam-4987	418	42	−	−	VERB
ejpam-4987	418	43	i∗	i∗	VERB
ejpam-4987	418	44	≥	≥	NOUN
ejpam-4987	418	45	0	0	NUM
ejpam-4987	418	46	,	,	PUNCT
ejpam-4987	418	47	c	c	NOUN
ejpam-4987	418	48	−	−	PROPN
ejpam-4987	418	49	c∗	c∗	PROPN
ejpam-4987	418	50	≥	≥	NUM
ejpam-4987	418	51	0	0	NUM
ejpam-4987	418	52	,	,	PUNCT
ejpam-4987	418	53	one	one	NUM
ejpam-4987	418	54	has	have	VERB
ejpam-4987	418	55	dv	dv	PROPN
ejpam-4987	418	56	dt	dt	PROPN
ejpam-4987	418	57	=	=	PUNCT
ejpam-4987	418	58	(	(	PUNCT
ejpam-4987	418	59	1−	1−	NUM
ejpam-4987	418	60	n∗	n∗	PROPN
ejpam-4987	418	61	n	n	X
ejpam-4987	418	62	)	)	PUNCT
ejpam-4987	418	63	(	(	PUNCT
ejpam-4987	418	64	µii	µii	NOUN
ejpam-4987	418	65	∗	∗	NOUN
ejpam-4987	418	66	+	+	CCONJ
ejpam-4987	418	67	µcc	µcc	NOUN
ejpam-4987	418	68	∗	∗	NOUN
ejpam-4987	418	69	+	+	CCONJ
ejpam-4987	418	70	µn∗	µn∗	ADP
ejpam-4987	418	71	−	−	PROPN
ejpam-4987	418	72	µii	µii	NOUN
ejpam-4987	418	73	−	−	PROPN
ejpam-4987	418	74	µcc	µcc	NOUN
ejpam-4987	418	75	−	−	PROPN
ejpam-4987	418	76	µn	µn	PROPN
ejpam-4987	418	77	)	)	PUNCT
ejpam-4987	418	78	dv	dv	PROPN
ejpam-4987	419	1	dt	dt	NOUN
ejpam-4987	419	2	=	=	SYM
ejpam-4987	419	3	−	−	PROPN
ejpam-4987	419	4	(	(	PUNCT
ejpam-4987	419	5	n	n	CCONJ
ejpam-4987	419	6	−n∗	−n∗	X
ejpam-4987	419	7	n	n	NOUN
ejpam-4987	419	8	)	)	PUNCT
ejpam-4987	420	1	[	[	X
ejpam-4987	420	2	µa	µa	X
ejpam-4987	420	3	(	(	PUNCT
ejpam-4987	420	4	i	i	PRON
ejpam-4987	420	5	−	−	PROPN
ejpam-4987	420	6	i∗	i∗	NOUN
ejpam-4987	420	7	)	)	PUNCT
ejpam-4987	421	1	+	+	CCONJ
ejpam-4987	421	2	µc	µc	INTJ
ejpam-4987	421	3	(	(	PUNCT
ejpam-4987	421	4	c	c	NOUN
ejpam-4987	421	5	−	−	PROPN
ejpam-4987	421	6	c∗	c∗	NOUN
ejpam-4987	421	7	)	)	PUNCT
ejpam-4987	422	1	+	+	NUM
ejpam-4987	422	2	µ	µ	X
ejpam-4987	422	3	(	(	PUNCT
ejpam-4987	422	4	n	n	X
ejpam-4987	422	5	−n∗	−n∗	NOUN
ejpam-4987	422	6	)	)	PUNCT
ejpam-4987	422	7	]	]	PUNCT
ejpam-4987	423	1	dv	dv	PROPN
ejpam-4987	423	2	dt	dt	X
ejpam-4987	423	3	≤	≤	PROPN
ejpam-4987	423	4	0	0	NUM
ejpam-4987	424	1	(	(	PUNCT
ejpam-4987	424	2	31	31	NUM
ejpam-4987	424	3	)	)	PUNCT
ejpam-4987	424	4	w.-o	w.-o	NOUN
ejpam-4987	424	5	sawadogo	sawadogo	VERB
ejpam-4987	424	6	et	et	PROPN
ejpam-4987	424	7	al	al	PROPN
ejpam-4987	424	8	.	.	PUNCT
ejpam-4987	424	9	/	/	SYM
ejpam-4987	424	10	eur	eur	PROPN
ejpam-4987	424	11	.	.	PUNCT
ejpam-4987	425	1	j.	j.	PROPN
ejpam-4987	425	2	pure	pure	PROPN
ejpam-4987	425	3	appl	appl	PROPN
ejpam-4987	425	4	.	.	PROPN
ejpam-4987	425	5	math	math	PROPN
ejpam-4987	425	6	,	,	PUNCT
ejpam-4987	425	7	17	17	NUM
ejpam-4987	425	8	(	(	PUNCT
ejpam-4987	425	9	1	1	NUM
ejpam-4987	425	10	)	)	PUNCT
ejpam-4987	425	11	(	(	PUNCT
ejpam-4987	425	12	2024	2024	NUM
ejpam-4987	425	13	)	)	PUNCT
ejpam-4987	425	14	,	,	PUNCT
ejpam-4987	425	15	59	59	NUM
ejpam-4987	425	16	-	-	SYM
ejpam-4987	425	17	92	92	NUM
ejpam-4987	425	18	81	81	NUM
ejpam-4987	425	19	from	from	ADP
ejpam-4987	425	20	(	(	PUNCT
ejpam-4987	425	21	31	31	NUM
ejpam-4987	425	22	)	)	PUNCT
ejpam-4987	425	23	and	and	CCONJ
ejpam-4987	425	24	by	by	ADP
ejpam-4987	425	25	using	use	VERB
ejpam-4987	425	26	the	the	DET
ejpam-4987	425	27	fact	fact	NOUN
ejpam-4987	425	28	that	that	SCONJ
ejpam-4987	426	1	dv	dv	PROPN
ejpam-4987	426	2	dt	dt	X
ejpam-4987	427	1	=	=	PUNCT
ejpam-4987	427	2	0	0	PUNCT
ejpam-4987	428	1	if	if	SCONJ
ejpam-4987	428	2	and	and	CCONJ
ejpam-4987	428	3	only	only	ADV
ejpam-4987	428	4	if	if	SCONJ
ejpam-4987	428	5	s1	s1	PROPN
ejpam-4987	428	6	=	=	SYM
ejpam-4987	428	7	s∗	s∗	PROPN
ejpam-4987	428	8	1	1	NUM
ejpam-4987	428	9	,	,	PUNCT
ejpam-4987	428	10	s2	s2	PROPN
ejpam-4987	428	11	=	=	PUNCT
ejpam-4987	428	12	s∗	s∗	PROPN
ejpam-4987	428	13	2	2	NUM
ejpam-4987	428	14	,	,	PUNCT
ejpam-4987	428	15	s3	s3	PROPN
ejpam-4987	428	16	=	=	PUNCT
ejpam-4987	428	17	s∗	s∗	PROPN
ejpam-4987	428	18	3	3	NUM
ejpam-4987	428	19	,	,	PUNCT
ejpam-4987	428	20	ei	ei	NOUN
ejpam-4987	428	21	=	=	SYM
ejpam-4987	428	22	e∗	e∗	PROPN
ejpam-4987	429	1	i	i	PRON
ejpam-4987	429	2	,	,	PUNCT
ejpam-4987	429	3	ec	ec	PROPN
ejpam-4987	429	4	=	=	SYM
ejpam-4987	429	5	e∗	e∗	PROPN
ejpam-4987	429	6	c	c	X
ejpam-4987	429	7	,	,	PUNCT
ejpam-4987	429	8	i	i	PRON
ejpam-4987	429	9	=	=	NOUN
ejpam-4987	429	10	i∗	i∗	NOUN
ejpam-4987	429	11	,	,	PUNCT
ejpam-4987	429	12	c	c	NOUN
ejpam-4987	429	13	=	=	SYM
ejpam-4987	429	14	c∗	c∗	PROPN
ejpam-4987	429	15	,	,	PUNCT
ejpam-4987	429	16	r	r	NOUN
ejpam-4987	429	17	=	=	SYM
ejpam-4987	429	18	r∗	r∗	PROPN
ejpam-4987	429	19	,	,	PUNCT
ejpam-4987	429	20	then	then	ADV
ejpam-4987	429	21	dv	dv	PROPN
ejpam-4987	429	22	dt	dt	PROPN
ejpam-4987	429	23	converges	converge	VERB
ejpam-4987	429	24	when	when	SCONJ
ejpam-4987	429	25	t	t	PROPN
ejpam-4987	429	26	−→	−→	NOUN
ejpam-4987	429	27	∞	∞	PROPN
ejpam-4987	429	28	.	.	PUNCT
ejpam-4987	430	1	thanks	thank	NOUN
ejpam-4987	430	2	to	to	ADP
ejpam-4987	430	3	lasalle	lasalle	PROPN
ejpam-4987	430	4	’s	’s	PART
ejpam-4987	430	5	invariance	invariance	NOUN
ejpam-4987	430	6	principle	principle	NOUN
ejpam-4987	430	7	theorem	theorem	VERB
ejpam-4987	430	8	[	[	X
ejpam-4987	430	9	26	26	NUM
ejpam-4987	430	10	]	]	PUNCT
ejpam-4987	430	11	,	,	PUNCT
ejpam-4987	430	12	the	the	DET
ejpam-4987	430	13	endemic	endemic	ADJ
ejpam-4987	430	14	equilibrium	equilibrium	NOUN
ejpam-4987	430	15	point	point	NOUN
ejpam-4987	430	16	e∗	e∗	PROPN
ejpam-4987	430	17	is	be	AUX
ejpam-4987	430	18	said	say	VERB
ejpam-4987	430	19	to	to	PART
ejpam-4987	430	20	be	be	AUX
ejpam-4987	430	21	globally	globally	ADV
ejpam-4987	430	22	asymptotically	asymptotically	ADV
ejpam-4987	430	23	stable	stable	ADJ
ejpam-4987	430	24	when	when	SCONJ
ejpam-4987	430	25	r0	r0	NOUN
ejpam-4987	430	26	>	>	X
ejpam-4987	430	27	1	1	NUM
ejpam-4987	431	1	[	[	X
ejpam-4987	431	2	4	4	NUM
ejpam-4987	431	3	,	,	PUNCT
ejpam-4987	431	4	14	14	NUM
ejpam-4987	431	5	,	,	PUNCT
ejpam-4987	431	6	18	18	NUM
ejpam-4987	431	7	,	,	PUNCT
ejpam-4987	431	8	27	27	NUM
ejpam-4987	431	9	]	]	PUNCT
ejpam-4987	431	10	w.-o	w.-o	NOUN
ejpam-4987	431	11	sawadogo	sawadogo	VERB
ejpam-4987	431	12	et	et	PROPN
ejpam-4987	431	13	al	al	PROPN
ejpam-4987	431	14	.	.	PUNCT
ejpam-4987	431	15	/	/	SYM
ejpam-4987	431	16	eur	eur	PROPN
ejpam-4987	431	17	.	.	PUNCT
ejpam-4987	432	1	j.	j.	PROPN
ejpam-4987	432	2	pure	pure	PROPN
ejpam-4987	432	3	appl	appl	PROPN
ejpam-4987	432	4	.	.	PROPN
ejpam-4987	432	5	math	math	PROPN
ejpam-4987	432	6	,	,	PUNCT
ejpam-4987	432	7	17	17	NUM
ejpam-4987	432	8	(	(	PUNCT
ejpam-4987	432	9	1	1	NUM
ejpam-4987	432	10	)	)	PUNCT
ejpam-4987	432	11	(	(	PUNCT
ejpam-4987	432	12	2024	2024	NUM
ejpam-4987	432	13	)	)	PUNCT
ejpam-4987	432	14	,	,	PUNCT
ejpam-4987	432	15	59	59	NUM
ejpam-4987	432	16	-	-	SYM
ejpam-4987	432	17	92	92	NUM
ejpam-4987	432	18	82	82	NUM
ejpam-4987	432	19	6	6	NUM
ejpam-4987	432	20	.	.	PUNCT
ejpam-4987	432	21	numerical	numerical	ADJ
ejpam-4987	432	22	results	result	NOUN
ejpam-4987	432	23	and	and	CCONJ
ejpam-4987	432	24	discussion	discussion	NOUN
ejpam-4987	432	25	for	for	ADP
ejpam-4987	432	26	the	the	DET
ejpam-4987	432	27	numerical	numerical	PROPN
ejpam-4987	432	28	simulation	simulation	NOUN
ejpam-4987	432	29	of	of	ADP
ejpam-4987	432	30	the	the	DET
ejpam-4987	432	31	proposed	propose	VERB
ejpam-4987	432	32	system	system	NOUN
ejpam-4987	432	33	,	,	PUNCT
ejpam-4987	432	34	the	the	DET
ejpam-4987	432	35	rung	rung	NOUN
ejpam-4987	432	36	kutta	kutta	NOUN
ejpam-4987	432	37	4	4	NUM
ejpam-4987	432	38	method	method	NOUN
ejpam-4987	432	39	was	be	AUX
ejpam-4987	432	40	used	use	VERB
ejpam-4987	432	41	.	.	PUNCT
ejpam-4987	433	1	in	in	ADP
ejpam-4987	433	2	table	table	NOUN
ejpam-4987	433	3	3	3	NUM
ejpam-4987	433	4	the	the	DET
ejpam-4987	433	5	values	value	NOUN
ejpam-4987	433	6	of	of	ADP
ejpam-4987	433	7	the	the	DET
ejpam-4987	433	8	different	different	ADJ
ejpam-4987	433	9	parameters	parameter	NOUN
ejpam-4987	433	10	used	use	VERB
ejpam-4987	433	11	in	in	ADP
ejpam-4987	433	12	the	the	DET
ejpam-4987	433	13	model	model	NOUN
ejpam-4987	433	14	problem	problem	NOUN
ejpam-4987	433	15	(	(	PUNCT
ejpam-4987	433	16	1	1	X
ejpam-4987	433	17	)	)	PUNCT
ejpam-4987	433	18	are	be	AUX
ejpam-4987	433	19	based	base	VERB
ejpam-4987	433	20	on	on	ADP
ejpam-4987	433	21	data	datum	NOUN
ejpam-4987	433	22	from	from	ADP
ejpam-4987	433	23	burkina	burkina	PROPN
ejpam-4987	433	24	faso	faso	PROPN
ejpam-4987	433	25	and	and	CCONJ
ejpam-4987	433	26	the	the	DET
ejpam-4987	433	27	literature	literature	NOUN
ejpam-4987	433	28	.	.	PUNCT
ejpam-4987	434	1	with	with	ADP
ejpam-4987	434	2	these	these	DET
ejpam-4987	434	3	parameters	parameter	NOUN
ejpam-4987	434	4	,	,	PUNCT
ejpam-4987	434	5	the	the	DET
ejpam-4987	434	6	basic	basic	ADJ
ejpam-4987	434	7	reproduction	reproduction	NOUN
ejpam-4987	434	8	number	number	NOUN
ejpam-4987	434	9	r0	r0	NOUN
ejpam-4987	434	10	=	=	NOUN
ejpam-4987	434	11	3.6625	3.6625	NUM
ejpam-4987	434	12	.	.	PUNCT
ejpam-4987	435	1	we	we	PRON
ejpam-4987	435	2	set	set	VERB
ejpam-4987	435	3	n0	n0	NOUN
ejpam-4987	435	4	=	=	SYM
ejpam-4987	435	5	20818036	20818036	NUM
ejpam-4987	435	6	:	:	PUNCT
ejpam-4987	435	7	total	total	ADJ
ejpam-4987	435	8	number	number	NOUN
ejpam-4987	435	9	of	of	ADP
ejpam-4987	435	10	burkina	burkina	PROPN
ejpam-4987	435	11	faso	faso	PROPN
ejpam-4987	435	12	’s	’s	PART
ejpam-4987	435	13	population	population	NOUN
ejpam-4987	435	14	in	in	ADP
ejpam-4987	435	15	2020	2020	NUM
ejpam-4987	435	16	[	[	X
ejpam-4987	435	17	20	20	NUM
ejpam-4987	435	18	]	]	PUNCT
ejpam-4987	435	19	.	.	PUNCT
ejpam-4987	436	1	initial	initial	ADJ
ejpam-4987	436	2	conditions	condition	NOUN
ejpam-4987	436	3	were	be	AUX
ejpam-4987	436	4	estimated	estimate	VERB
ejpam-4987	436	5	using	use	VERB
ejpam-4987	436	6	prevalence	prevalence	NOUN
ejpam-4987	436	7	in	in	ADP
ejpam-4987	436	8	2020	2020	NUM
ejpam-4987	436	9	and	and	CCONJ
ejpam-4987	436	10	biological	biological	ADJ
ejpam-4987	436	11	parameters	parameter	NOUN
ejpam-4987	436	12	.	.	PUNCT
ejpam-4987	437	1	this	this	PRON
ejpam-4987	437	2	gives	give	VERB
ejpam-4987	437	3	s1(0	s1(0	PROPN
ejpam-4987	437	4	)	)	PUNCT
ejpam-4987	437	5	=	=	SYM
ejpam-4987	437	6	1191200	1191200	NUM
ejpam-4987	437	7	,	,	PUNCT
ejpam-4987	437	8	s2(0	s2(0	NOUN
ejpam-4987	437	9	)	)	PUNCT
ejpam-4987	437	10	=	=	SYM
ejpam-4987	437	11	2384100	2384100	NUM
ejpam-4987	437	12	,	,	PUNCT
ejpam-4987	437	13	s3(0	s3(0	PROPN
ejpam-4987	437	14	)	)	PUNCT
ejpam-4987	437	15	=	=	SYM
ejpam-4987	437	16	11938000	11938000	NUM
ejpam-4987	437	17	,	,	PUNCT
ejpam-4987	437	18	ei(0	ei(0	PROPN
ejpam-4987	437	19	)	)	PUNCT
ejpam-4987	437	20	=	=	SYM
ejpam-4987	437	21	1551400	1551400	NUM
ejpam-4987	437	22	,	,	PUNCT
ejpam-4987	437	23	ec(0	ec(0	PROPN
ejpam-4987	437	24	)	)	PUNCT
ejpam-4987	437	25	=	=	SYM
ejpam-4987	437	26	172604	172604	NUM
ejpam-4987	437	27	,	,	PUNCT
ejpam-4987	437	28	i(0	i(0	PROPN
ejpam-4987	437	29	)	)	PUNCT
ejpam-4987	437	30	=	=	SYM
ejpam-4987	437	31	1665482	1665482	NUM
ejpam-4987	437	32	,	,	PUNCT
ejpam-4987	437	33	c(0	c(0	NOUN
ejpam-4987	437	34	)	)	PUNCT
ejpam-4987	437	35	=	=	SYM
ejpam-4987	437	36	416354	416354	NUM
ejpam-4987	437	37	,	,	PUNCT
ejpam-4987	437	38	r(0	r(0	PROPN
ejpam-4987	437	39	)	)	PUNCT
ejpam-4987	437	40	=	=	SYM
ejpam-4987	437	41	1498896	1498896	NUM
ejpam-4987	437	42	.	.	PUNCT
ejpam-4987	438	1	table	table	NOUN
ejpam-4987	438	2	3	3	NUM
ejpam-4987	438	3	:	:	PUNCT
ejpam-4987	438	4	parameters	parameter	NOUN
ejpam-4987	438	5	used	use	VERB
ejpam-4987	438	6	in	in	ADP
ejpam-4987	438	7	the	the	DET
ejpam-4987	438	8	model	model	NOUN
ejpam-4987	438	9	parameters	parameter	NOUN
ejpam-4987	438	10	values	value	VERB
ejpam-4987	438	11	references	reference	NOUN
ejpam-4987	438	12	n0	n0	X
ejpam-4987	438	13	20818036	20818036	NUM
ejpam-4987	438	14	[	[	X
ejpam-4987	438	15	20	20	NUM
ejpam-4987	438	16	]	]	PUNCT
ejpam-4987	438	17	λ	λ	X
ejpam-4987	438	18	0.0444	0.0444	NUM
ejpam-4987	438	19	[	[	SYM
ejpam-4987	438	20	20	20	NUM
ejpam-4987	438	21	]	]	SYM
ejpam-4987	438	22	λi	λi	X
ejpam-4987	438	23	0.091	0.091	NUM
ejpam-4987	438	24	assumed	assume	VERB
ejpam-4987	438	25	λc	λc	PROPN
ejpam-4987	438	26	0.0051	0.0051	NUM
ejpam-4987	438	27	assumed	assume	VERB
ejpam-4987	438	28	p1	p1	PROPN
ejpam-4987	438	29	0.9	0.9	NUM
ejpam-4987	438	30	assumed	assume	VERB
ejpam-4987	438	31	p2	p2	PROPN
ejpam-4987	438	32	0.9	0.9	NUM
ejpam-4987	438	33	assumed	assume	VERB
ejpam-4987	438	34	b1,j	b1,j	PROPN
ejpam-4987	438	35	,	,	PUNCT
ejpam-4987	438	36	j	j	PROPN
ejpam-4987	438	37	=	=	SYM
ejpam-4987	438	38	1	1	NUM
ejpam-4987	438	39	,	,	PUNCT
ejpam-4987	438	40	2	2	NUM
ejpam-4987	438	41	0	0	NUM
ejpam-4987	439	1	[	[	X
ejpam-4987	439	2	16	16	NUM
ejpam-4987	439	3	]	]	X
ejpam-4987	439	4	b2,j	b2,j	PROPN
ejpam-4987	439	5	,	,	PUNCT
ejpam-4987	439	6	j	j	X
ejpam-4987	439	7	=	=	SYM
ejpam-4987	439	8	1	1	NUM
ejpam-4987	439	9	,	,	PUNCT
ejpam-4987	439	10	2	2	NUM
ejpam-4987	439	11	0	0	NUM
ejpam-4987	440	1	[	[	X
ejpam-4987	440	2	16	16	NUM
ejpam-4987	440	3	]	]	X
ejpam-4987	440	4	b3,j	b3,j	PROPN
ejpam-4987	440	5	,	,	PUNCT
ejpam-4987	440	6	j	j	PROPN
ejpam-4987	440	7	=	=	SYM
ejpam-4987	440	8	1	1	NUM
ejpam-4987	440	9	,	,	PUNCT
ejpam-4987	440	10	2	2	NUM
ejpam-4987	440	11	0	0	NUM
ejpam-4987	441	1	[	[	X
ejpam-4987	441	2	16	16	NUM
ejpam-4987	441	3	]	]	SYM
ejpam-4987	441	4	b1,j	b1,j	NOUN
ejpam-4987	441	5	,	,	PUNCT
ejpam-4987	441	6	j	j	PROPN
ejpam-4987	441	7	=	=	SYM
ejpam-4987	441	8	3	3	NUM
ejpam-4987	441	9	,	,	PUNCT
ejpam-4987	441	10	4	4	NUM
ejpam-4987	441	11	0.159	0.159	NUM
ejpam-4987	442	1	[	[	X
ejpam-4987	443	1	[	[	X
ejpam-4987	443	2	24],[15	24],[15	NOUN
ejpam-4987	443	3	]	]	X
ejpam-4987	443	4	]	]	X
ejpam-4987	444	1	b2,j	b2,j	PROPN
ejpam-4987	444	2	,	,	PUNCT
ejpam-4987	444	3	i	i	PRON
ejpam-4987	444	4	=	=	NOUN
ejpam-4987	444	5	3	3	NUM
ejpam-4987	444	6	,	,	PUNCT
ejpam-4987	444	7	4	4	NUM
ejpam-4987	444	8	0.144	0.144	NUM
ejpam-4987	444	9	[	[	X
ejpam-4987	444	10	[	[	X
ejpam-4987	444	11	24],[15	24],[15	NOUN
ejpam-4987	444	12	]	]	X
ejpam-4987	444	13	]	]	X
ejpam-4987	444	14	b3,j	b3,j	PROPN
ejpam-4987	444	15	,	,	PUNCT
ejpam-4987	444	16	j	j	PROPN
ejpam-4987	444	17	=	=	SYM
ejpam-4987	444	18	3	3	NUM
ejpam-4987	444	19	,	,	PUNCT
ejpam-4987	444	20	4	4	NUM
ejpam-4987	444	21	0.5	0.5	NUM
ejpam-4987	444	22	assumed	assume	VERB
ejpam-4987	444	23	α1	α1	PROPN
ejpam-4987	444	24	0.1	0.1	NUM
ejpam-4987	445	1	[	[	X
ejpam-4987	445	2	[	[	X
ejpam-4987	445	3	19],[17	19],[17	X
ejpam-4987	445	4	]	]	X
ejpam-4987	445	5	]	]	PUNCT
ejpam-4987	446	1	α2	α2	ADV
ejpam-4987	446	2	0.7	0.7	NUM
ejpam-4987	447	1	[	[	X
ejpam-4987	447	2	[	[	X
ejpam-4987	447	3	19],[17	19],[17	X
ejpam-4987	447	4	]	]	X
ejpam-4987	447	5	]	]	PUNCT
ejpam-4987	447	6	α3	α3	NOUN
ejpam-4987	447	7	0.95	0.95	NUM
ejpam-4987	448	1	[	[	X
ejpam-4987	448	2	[	[	X
ejpam-4987	448	3	19],[17	19],[17	X
ejpam-4987	448	4	]	]	X
ejpam-4987	448	5	]	]	PUNCT
ejpam-4987	448	6	δ1	δ1	NOUN
ejpam-4987	448	7	0.6	0.6	NUM
ejpam-4987	449	1	[	[	X
ejpam-4987	449	2	[	[	X
ejpam-4987	449	3	24],[15	24],[15	NOUN
ejpam-4987	449	4	]	]	X
ejpam-4987	449	5	]	]	X
ejpam-4987	449	6	δ2	δ2	VERB
ejpam-4987	449	7	0.6	0.6	NUM
ejpam-4987	450	1	[	[	X
ejpam-4987	450	2	[	[	X
ejpam-4987	450	3	24],[15	24],[15	NOUN
ejpam-4987	450	4	]	]	X
ejpam-4987	450	5	]	]	X
ejpam-4987	450	6	γi	γi	X
ejpam-4987	451	1	0.8	0.8	NUM
ejpam-4987	451	2	[	[	X
ejpam-4987	452	1	[	[	X
ejpam-4987	452	2	24],[15	24],[15	NOUN
ejpam-4987	452	3	]	]	X
ejpam-4987	452	4	]	]	PUNCT
ejpam-4987	452	5	γc	γc	PROPN
ejpam-4987	453	1	0.023	0.023	NUM
ejpam-4987	453	2	[	[	X
ejpam-4987	453	3	[	[	X
ejpam-4987	453	4	24],[15	24],[15	NOUN
ejpam-4987	453	5	]	]	X
ejpam-4987	453	6	]	]	X
ejpam-4987	453	7	µ	µ	X
ejpam-4987	453	8	0.009	0.009	NUM
ejpam-4987	453	9	[	[	X
ejpam-4987	453	10	20	20	NUM
ejpam-4987	453	11	]	]	PUNCT
ejpam-4987	453	12	µi	µi	ADP
ejpam-4987	453	13	0.00461	0.00461	NUM
ejpam-4987	453	14	[	[	X
ejpam-4987	453	15	[	[	X
ejpam-4987	453	16	24],[15	24],[15	NOUN
ejpam-4987	453	17	]	]	X
ejpam-4987	453	18	]	]	X
ejpam-4987	453	19	µc	µc	ADP
ejpam-4987	454	1	0.01	0.01	NUM
ejpam-4987	454	2	[	[	X
ejpam-4987	454	3	[	[	X
ejpam-4987	454	4	24],[15	24],[15	NOUN
ejpam-4987	454	5	]	]	X
ejpam-4987	454	6	]	]	X
ejpam-4987	454	7	we	we	PRON
ejpam-4987	454	8	carried	carry	VERB
ejpam-4987	454	9	out	out	ADP
ejpam-4987	454	10	simulations	simulation	NOUN
ejpam-4987	454	11	to	to	PART
ejpam-4987	454	12	see	see	VERB
ejpam-4987	454	13	the	the	DET
ejpam-4987	454	14	dynamics	dynamic	NOUN
ejpam-4987	454	15	of	of	ADP
ejpam-4987	454	16	the	the	DET
ejpam-4987	454	17	hepatitis	hepatitis	PROPN
ejpam-4987	454	18	b	b	PROPN
ejpam-4987	454	19	virus	virus	NOUN
ejpam-4987	454	20	in	in	ADP
ejpam-4987	454	21	the	the	DET
ejpam-4987	454	22	population	population	NOUN
ejpam-4987	454	23	of	of	ADP
ejpam-4987	454	24	burkina	burkina	PROPN
ejpam-4987	454	25	faso	faso	PROPN
ejpam-4987	454	26	over	over	ADP
ejpam-4987	454	27	a	a	DET
ejpam-4987	454	28	period	period	NOUN
ejpam-4987	454	29	of	of	ADP
ejpam-4987	454	30	50	50	NUM
ejpam-4987	454	31	years	year	NOUN
ejpam-4987	454	32	.	.	PUNCT
ejpam-4987	455	1	figure	figure	NOUN
ejpam-4987	455	2	4	4	NUM
ejpam-4987	455	3	represents	represent	VERB
ejpam-4987	455	4	the	the	DET
ejpam-4987	455	5	evolution	evolution	NOUN
ejpam-4987	455	6	of	of	ADP
ejpam-4987	455	7	the	the	DET
ejpam-4987	455	8	three	three	NUM
ejpam-4987	455	9	susceptible	susceptible	ADJ
ejpam-4987	455	10	compartments	compartment	NOUN
ejpam-4987	455	11	,	,	PUNCT
ejpam-4987	455	12	figure	figure	NOUN
ejpam-4987	455	13	5	5	NUM
ejpam-4987	455	14	represents	represent	VERB
ejpam-4987	455	15	the	the	DET
ejpam-4987	455	16	evolution	evolution	NOUN
ejpam-4987	455	17	of	of	ADP
ejpam-4987	455	18	infected	infected	ADJ
ejpam-4987	455	19	and	and	CCONJ
ejpam-4987	455	20	chronic	chronic	ADJ
ejpam-4987	455	21	exposed	expose	VERB
ejpam-4987	455	22	compartments	compartment	NOUN
ejpam-4987	455	23	,	,	PUNCT
ejpam-4987	455	24	while	while	SCONJ
ejpam-4987	455	25	figure	figure	NOUN
ejpam-4987	455	26	6	6	NUM
ejpam-4987	455	27	is	be	AUX
ejpam-4987	455	28	the	the	DET
ejpam-4987	455	29	one	one	NUM
ejpam-4987	455	30	of	of	ADP
ejpam-4987	455	31	infected	infected	ADJ
ejpam-4987	455	32	and	and	CCONJ
ejpam-4987	455	33	chronic	chronic	ADJ
ejpam-4987	455	34	individuals	individual	NOUN
ejpam-4987	455	35	.	.	PUNCT
ejpam-4987	456	1	the	the	DET
ejpam-4987	456	2	last	last	ADJ
ejpam-4987	456	3	figure	figure	NOUN
ejpam-4987	456	4	7	7	NUM
ejpam-4987	456	5	is	be	AUX
ejpam-4987	456	6	that	that	PRON
ejpam-4987	456	7	of	of	ADP
ejpam-4987	456	8	recovered	recover	VERB
ejpam-4987	456	9	individuals	individual	NOUN
ejpam-4987	456	10	.	.	PUNCT
ejpam-4987	457	1	w.-o	w.-o	PROPN
ejpam-4987	457	2	sawadogo	sawadogo	VERB
ejpam-4987	457	3	et	et	PROPN
ejpam-4987	457	4	al	al	PROPN
ejpam-4987	457	5	.	.	PUNCT
ejpam-4987	457	6	/	/	SYM
ejpam-4987	457	7	eur	eur	PROPN
ejpam-4987	457	8	.	.	PUNCT
ejpam-4987	458	1	j.	j.	PROPN
ejpam-4987	458	2	pure	pure	PROPN
ejpam-4987	458	3	appl	appl	PROPN
ejpam-4987	458	4	.	.	PROPN
ejpam-4987	458	5	math	math	PROPN
ejpam-4987	458	6	,	,	PUNCT
ejpam-4987	458	7	17	17	NUM
ejpam-4987	458	8	(	(	PUNCT
ejpam-4987	458	9	1	1	NUM
ejpam-4987	458	10	)	)	PUNCT
ejpam-4987	458	11	(	(	PUNCT
ejpam-4987	458	12	2024	2024	NUM
ejpam-4987	458	13	)	)	PUNCT
ejpam-4987	458	14	,	,	PUNCT
ejpam-4987	458	15	59	59	NUM
ejpam-4987	458	16	-	-	SYM
ejpam-4987	458	17	92	92	NUM
ejpam-4987	459	1	83	83	NUM
ejpam-4987	459	2	0	0	NUM
ejpam-4987	459	3	5	5	NUM
ejpam-4987	459	4	10	10	NUM
ejpam-4987	459	5	15	15	NUM
ejpam-4987	459	6	20	20	NUM
ejpam-4987	459	7	25	25	NUM
ejpam-4987	459	8	30	30	NUM
ejpam-4987	459	9	35	35	NUM
ejpam-4987	459	10	40	40	NUM
ejpam-4987	459	11	45	45	NUM
ejpam-4987	459	12	50	50	NUM
ejpam-4987	459	13	time[y	time[y	NOUN
ejpam-4987	459	14	]	]	PUNCT
ejpam-4987	459	15	0	0	NUM
ejpam-4987	459	16	5	5	NUM
ejpam-4987	459	17	10	10	NUM
ejpam-4987	459	18	15	15	NUM
ejpam-4987	459	19	s	s	NOUN
ejpam-4987	459	20	u	u	NOUN
ejpam-4987	459	21	s	s	PRON
ejpam-4987	459	22	c	c	NOUN
ejpam-4987	459	23	e	e	NOUN
ejpam-4987	459	24	p	p	X
ejpam-4987	459	25	ti	ti	PROPN
ejpam-4987	459	26	b	b	PROPN
ejpam-4987	459	27	le	le	PROPN
ejpam-4987	459	28	10	10	NUM
ejpam-4987	459	29	6	6	NUM
ejpam-4987	459	30	population	population	NOUN
ejpam-4987	459	31	of	of	ADP
ejpam-4987	459	32	susceptibles	susceptibles	PROPN
ejpam-4987	459	33	s1	s1	PROPN
ejpam-4987	459	34	s2	s2	PROPN
ejpam-4987	459	35	s3	s3	PROPN
ejpam-4987	459	36	figure	figure	NOUN
ejpam-4987	459	37	4	4	NUM
ejpam-4987	459	38	:	:	PUNCT
ejpam-4987	459	39	evolution	evolution	NOUN
ejpam-4987	459	40	of	of	ADP
ejpam-4987	459	41	susceptible	susceptible	ADJ
ejpam-4987	459	42	individuals	individual	NOUN
ejpam-4987	459	43	in	in	ADP
ejpam-4987	459	44	figure	figure	NOUN
ejpam-4987	459	45	4	4	NUM
ejpam-4987	459	46	,	,	PUNCT
ejpam-4987	459	47	the	the	DET
ejpam-4987	459	48	number	number	NOUN
ejpam-4987	459	49	of	of	ADP
ejpam-4987	459	50	all	all	DET
ejpam-4987	459	51	susceptible	susceptible	ADJ
ejpam-4987	459	52	individuals	individual	NOUN
ejpam-4987	459	53	is	be	AUX
ejpam-4987	459	54	decreasing	decrease	VERB
ejpam-4987	459	55	,	,	PUNCT
ejpam-4987	459	56	confirming	confirm	VERB
ejpam-4987	459	57	the	the	DET
ejpam-4987	459	58	high	high	ADJ
ejpam-4987	459	59	prevalence	prevalence	NOUN
ejpam-4987	459	60	of	of	ADP
ejpam-4987	459	61	hbv	hbv	NOUN
ejpam-4987	459	62	infection	infection	NOUN
ejpam-4987	459	63	in	in	ADP
ejpam-4987	459	64	burkina	burkina	PROPN
ejpam-4987	459	65	faso	faso	PROPN
ejpam-4987	459	66	.	.	PUNCT
ejpam-4987	460	1	w.-o	w.-o	PROPN
ejpam-4987	460	2	sawadogo	sawadogo	VERB
ejpam-4987	460	3	et	et	PROPN
ejpam-4987	460	4	al	al	PROPN
ejpam-4987	460	5	.	.	PUNCT
ejpam-4987	460	6	/	/	SYM
ejpam-4987	460	7	eur	eur	PROPN
ejpam-4987	460	8	.	.	PUNCT
ejpam-4987	461	1	j.	j.	PROPN
ejpam-4987	461	2	pure	pure	PROPN
ejpam-4987	461	3	appl	appl	PROPN
ejpam-4987	461	4	.	.	PROPN
ejpam-4987	461	5	math	math	PROPN
ejpam-4987	461	6	,	,	PUNCT
ejpam-4987	461	7	17	17	NUM
ejpam-4987	461	8	(	(	PUNCT
ejpam-4987	461	9	1	1	NUM
ejpam-4987	461	10	)	)	PUNCT
ejpam-4987	461	11	(	(	PUNCT
ejpam-4987	461	12	2024	2024	NUM
ejpam-4987	461	13	)	)	PUNCT
ejpam-4987	461	14	,	,	PUNCT
ejpam-4987	461	15	59	59	NUM
ejpam-4987	461	16	-	-	SYM
ejpam-4987	461	17	92	92	NUM
ejpam-4987	461	18	84	84	NUM
ejpam-4987	461	19	0	0	NUM
ejpam-4987	461	20	5	5	NUM
ejpam-4987	461	21	10	10	NUM
ejpam-4987	461	22	15	15	NUM
ejpam-4987	461	23	20	20	NUM
ejpam-4987	461	24	25	25	NUM
ejpam-4987	461	25	30	30	NUM
ejpam-4987	461	26	35	35	NUM
ejpam-4987	461	27	40	40	NUM
ejpam-4987	461	28	45	45	NUM
ejpam-4987	461	29	50	50	NUM
ejpam-4987	461	30	time[y	time[y	NOUN
ejpam-4987	461	31	]	]	PUNCT
ejpam-4987	461	32	0	0	NUM
ejpam-4987	461	33	2	2	NUM
ejpam-4987	461	34	4	4	NUM
ejpam-4987	461	35	6	6	NUM
ejpam-4987	461	36	8	8	NUM
ejpam-4987	461	37	10	10	NUM
ejpam-4987	461	38	12	12	NUM
ejpam-4987	461	39	14	14	NUM
ejpam-4987	461	40	16	16	NUM
ejpam-4987	462	1	p	p	NOUN
ejpam-4987	462	2	o	o	X
ejpam-4987	462	3	p	p	X
ejpam-4987	462	4	u	u	X
ejpam-4987	462	5	la	la	X
ejpam-4987	462	6	ti	ti	NOUN
ejpam-4987	462	7	o	o	NOUN
ejpam-4987	462	8	n	n	X
ejpam-4987	462	9	o	o	X
ejpam-4987	462	10	f	f	X
ejpam-4987	462	11	e	e	NOUN
ejpam-4987	462	12	x	x	X
ejpam-4987	462	13	p	p	X
ejpam-4987	462	14	o	o	X
ejpam-4987	462	15	s	s	X
ejpam-4987	462	16	e	e	NOUN
ejpam-4987	462	17	d	d	PROPN
ejpam-4987	462	18	105	105	NUM
ejpam-4987	462	19	population	population	NOUN
ejpam-4987	462	20	of	of	ADP
ejpam-4987	462	21	exposed	expose	VERB
ejpam-4987	462	22	exposed	expose	VERB
ejpam-4987	462	23	acutes	acute	NOUN
ejpam-4987	462	24	exposed	expose	VERB
ejpam-4987	462	25	chronicles	chronicle	NOUN
ejpam-4987	462	26	figure	figure	VERB
ejpam-4987	462	27	5	5	NUM
ejpam-4987	462	28	:	:	PUNCT
ejpam-4987	462	29	evolution	evolution	NOUN
ejpam-4987	462	30	of	of	ADP
ejpam-4987	462	31	acutes	acute	NOUN
ejpam-4987	462	32	exposed	expose	VERB
ejpam-4987	462	33	together	together	ADV
ejpam-4987	462	34	with	with	ADP
ejpam-4987	462	35	chronic	chronic	ADJ
ejpam-4987	462	36	exposed	expose	VERB
ejpam-4987	462	37	individuals	individual	NOUN
ejpam-4987	462	38	according	accord	VERB
ejpam-4987	462	39	to	to	ADP
ejpam-4987	462	40	the	the	DET
ejpam-4987	462	41	results	result	NOUN
ejpam-4987	462	42	presented	present	VERB
ejpam-4987	462	43	in	in	ADP
ejpam-4987	462	44	this	this	DET
ejpam-4987	462	45	figure	figure	NOUN
ejpam-4987	462	46	,	,	PUNCT
ejpam-4987	462	47	the	the	DET
ejpam-4987	462	48	number	number	NOUN
ejpam-4987	462	49	of	of	ADP
ejpam-4987	462	50	cases	case	NOUN
ejpam-4987	462	51	in	in	ADP
ejpam-4987	462	52	the	the	DET
ejpam-4987	462	53	acute	acute	ADJ
ejpam-4987	462	54	and	and	CCONJ
ejpam-4987	462	55	chronic	chronic	ADJ
ejpam-4987	462	56	infected	infect	VERB
ejpam-4987	462	57	exposed	expose	VERB
ejpam-4987	462	58	compartments	compartment	NOUN
ejpam-4987	462	59	(	(	PUNCT
ejpam-4987	462	60	figure	figure	NOUN
ejpam-4987	462	61	5	5	NUM
ejpam-4987	462	62	)	)	PUNCT
ejpam-4987	462	63	increases	increase	NOUN
ejpam-4987	462	64	as	as	SCONJ
ejpam-4987	462	65	they	they	PRON
ejpam-4987	462	66	come	come	VERB
ejpam-4987	462	67	from	from	ADP
ejpam-4987	462	68	susceptible	susceptible	ADJ
ejpam-4987	462	69	individuals	individual	NOUN
ejpam-4987	462	70	,	,	PUNCT
ejpam-4987	462	71	before	before	ADP
ejpam-4987	462	72	decreasing	decrease	VERB
ejpam-4987	462	73	to	to	PART
ejpam-4987	462	74	become	become	VERB
ejpam-4987	462	75	acute	acute	ADJ
ejpam-4987	462	76	and	and	CCONJ
ejpam-4987	462	77	chronically	chronically	ADV
ejpam-4987	462	78	infected	infect	VERB
ejpam-4987	462	79	.	.	PUNCT
ejpam-4987	463	1	w.-o	w.-o	NOUN
ejpam-4987	463	2	sawadogo	sawadogo	VERB
ejpam-4987	463	3	et	et	PROPN
ejpam-4987	463	4	al	al	PROPN
ejpam-4987	463	5	.	.	PUNCT
ejpam-4987	463	6	/	/	SYM
ejpam-4987	463	7	eur	eur	PROPN
ejpam-4987	463	8	.	.	PUNCT
ejpam-4987	464	1	j.	j.	PROPN
ejpam-4987	464	2	pure	pure	PROPN
ejpam-4987	464	3	appl	appl	PROPN
ejpam-4987	464	4	.	.	PROPN
ejpam-4987	464	5	math	math	PROPN
ejpam-4987	464	6	,	,	PUNCT
ejpam-4987	464	7	17	17	NUM
ejpam-4987	464	8	(	(	PUNCT
ejpam-4987	464	9	1	1	NUM
ejpam-4987	464	10	)	)	PUNCT
ejpam-4987	464	11	(	(	PUNCT
ejpam-4987	464	12	2024	2024	NUM
ejpam-4987	464	13	)	)	PUNCT
ejpam-4987	464	14	,	,	PUNCT
ejpam-4987	464	15	59	59	NUM
ejpam-4987	464	16	-	-	SYM
ejpam-4987	464	17	92	92	NUM
ejpam-4987	464	18	85	85	NUM
ejpam-4987	464	19	0	0	NUM
ejpam-4987	464	20	5	5	NUM
ejpam-4987	464	21	10	10	NUM
ejpam-4987	464	22	15	15	NUM
ejpam-4987	464	23	20	20	NUM
ejpam-4987	464	24	25	25	NUM
ejpam-4987	464	25	30	30	NUM
ejpam-4987	464	26	35	35	NUM
ejpam-4987	464	27	40	40	NUM
ejpam-4987	464	28	45	45	NUM
ejpam-4987	464	29	50	50	NUM
ejpam-4987	464	30	time[y	time[y	NOUN
ejpam-4987	464	31	]	]	PUNCT
ejpam-4987	464	32	0	0	NUM
ejpam-4987	464	33	0.5	0.5	NUM
ejpam-4987	464	34	1	1	NUM
ejpam-4987	464	35	1.5	1.5	NUM
ejpam-4987	464	36	2	2	NUM
ejpam-4987	464	37	2.5	2.5	NUM
ejpam-4987	464	38	3	3	NUM
ejpam-4987	464	39	3.5	3.5	NUM
ejpam-4987	464	40	p	p	NOUN
ejpam-4987	465	1	o	o	X
ejpam-4987	465	2	p	p	X
ejpam-4987	465	3	u	u	X
ejpam-4987	465	4	la	la	X
ejpam-4987	465	5	ti	ti	NOUN
ejpam-4987	465	6	o	o	NOUN
ejpam-4987	465	7	n	n	ADP
ejpam-4987	465	8	o	o	NOUN
ejpam-4987	465	9	f	f	NOUN
ejpam-4987	465	10	a	a	PRON
ejpam-4987	465	11	c	c	X
ejpam-4987	465	12	u	u	NOUN
ejpam-4987	465	13	te	te	PROPN
ejpam-4987	465	14	s	s	PRON
ejpam-4987	465	15	a	a	DET
ejpam-4987	465	16	n	n	NOUN
ejpam-4987	465	17	d	d	NOUN
ejpam-4987	465	18	c	c	NOUN
ejpam-4987	465	19	h	h	NOUN
ejpam-4987	465	20	ro	ro	PROPN
ejpam-4987	466	1	n	n	ADV
ejpam-4987	467	1	ic	ic	INTJ
ejpam-4987	467	2	le	le	PROPN
ejpam-4987	467	3	s	s	PROPN
ejpam-4987	467	4	10	10	NUM
ejpam-4987	467	5	6	6	NUM
ejpam-4987	467	6	population	population	NOUN
ejpam-4987	467	7	of	of	ADP
ejpam-4987	467	8	acutes	acute	NOUN
ejpam-4987	467	9	and	and	CCONJ
ejpam-4987	467	10	chronicles	chronicle	NOUN
ejpam-4987	467	11	acutes	acute	VERB
ejpam-4987	467	12	chronicles	chronicle	NOUN
ejpam-4987	467	13	figure	figure	VERB
ejpam-4987	467	14	6	6	NUM
ejpam-4987	467	15	:	:	PUNCT
ejpam-4987	467	16	evolution	evolution	NOUN
ejpam-4987	467	17	of	of	ADP
ejpam-4987	467	18	acutes	acute	NOUN
ejpam-4987	467	19	and	and	CCONJ
ejpam-4987	467	20	chronics	chronic	NOUN
ejpam-4987	467	21	individuals	individual	NOUN
ejpam-4987	467	22	as	as	SCONJ
ejpam-4987	467	23	shown	show	VERB
ejpam-4987	467	24	in	in	ADP
ejpam-4987	467	25	this	this	DET
ejpam-4987	467	26	figure	figure	NOUN
ejpam-4987	467	27	,	,	PUNCT
ejpam-4987	467	28	the	the	DET
ejpam-4987	467	29	number	number	NOUN
ejpam-4987	467	30	of	of	ADP
ejpam-4987	467	31	people	people	NOUN
ejpam-4987	467	32	in	in	ADP
ejpam-4987	467	33	the	the	DET
ejpam-4987	467	34	acutes	acute	NOUN
ejpam-4987	467	35	and	and	CCONJ
ejpam-4987	467	36	chronics	chronic	NOUN
ejpam-4987	467	37	compartments	compartment	NOUN
ejpam-4987	467	38	(	(	PUNCT
ejpam-4987	467	39	6	6	NUM
ejpam-4987	467	40	)	)	PUNCT
ejpam-4987	467	41	increases	increase	NOUN
ejpam-4987	467	42	,	,	PUNCT
ejpam-4987	467	43	since	since	SCONJ
ejpam-4987	467	44	we	we	PRON
ejpam-4987	467	45	are	be	AUX
ejpam-4987	467	46	in	in	ADP
ejpam-4987	467	47	a	a	DET
ejpam-4987	467	48	zone	zone	NOUN
ejpam-4987	467	49	of	of	ADP
ejpam-4987	467	50	high	high	ADJ
ejpam-4987	467	51	endemicity	endemicity	NOUN
ejpam-4987	467	52	and	and	CCONJ
ejpam-4987	467	53	this	this	PRON
ejpam-4987	467	54	confirms	confirm	VERB
ejpam-4987	467	55	the	the	DET
ejpam-4987	467	56	high	high	ADJ
ejpam-4987	467	57	prevalence	prevalence	NOUN
ejpam-4987	467	58	of	of	ADP
ejpam-4987	467	59	heaptitis	heaptitis	PROPN
ejpam-4987	467	60	b	b	PROPN
ejpam-4987	467	61	in	in	ADP
ejpam-4987	467	62	burkina	burkina	PROPN
ejpam-4987	467	63	faso	faso	PROPN
ejpam-4987	467	64	[	[	X
ejpam-4987	467	65	31	31	NUM
ejpam-4987	467	66	]	]	PUNCT
ejpam-4987	467	67	.	.	PUNCT
ejpam-4987	468	1	the	the	DET
ejpam-4987	468	2	number	number	NOUN
ejpam-4987	468	3	of	of	ADP
ejpam-4987	468	4	chronic	chronic	ADJ
ejpam-4987	468	5	carriers	carrier	NOUN
ejpam-4987	468	6	of	of	ADP
ejpam-4987	468	7	the	the	DET
ejpam-4987	468	8	virus	virus	NOUN
ejpam-4987	468	9	is	be	AUX
ejpam-4987	468	10	rising	rise	VERB
ejpam-4987	468	11	sharply	sharply	ADV
ejpam-4987	468	12	,	,	PUNCT
ejpam-4987	468	13	while	while	SCONJ
ejpam-4987	468	14	the	the	DET
ejpam-4987	468	15	number	number	NOUN
ejpam-4987	468	16	of	of	ADP
ejpam-4987	468	17	acutely	acutely	ADV
ejpam-4987	468	18	infected	infect	VERB
ejpam-4987	468	19	individuals	individual	NOUN
ejpam-4987	468	20	is	be	AUX
ejpam-4987	468	21	falling	fall	VERB
ejpam-4987	468	22	,	,	PUNCT
ejpam-4987	468	23	as	as	SCONJ
ejpam-4987	468	24	they	they	PRON
ejpam-4987	468	25	either	either	CCONJ
ejpam-4987	468	26	recover	recover	VERB
ejpam-4987	468	27	or	or	CCONJ
ejpam-4987	468	28	become	become	VERB
ejpam-4987	468	29	chronic	chronic	ADJ
ejpam-4987	468	30	.	.	PUNCT
ejpam-4987	469	1	w.-o	w.-o	PROPN
ejpam-4987	469	2	sawadogo	sawadogo	VERB
ejpam-4987	469	3	et	et	PROPN
ejpam-4987	469	4	al	al	PROPN
ejpam-4987	469	5	.	.	PUNCT
ejpam-4987	469	6	/	/	SYM
ejpam-4987	469	7	eur	eur	PROPN
ejpam-4987	469	8	.	.	PUNCT
ejpam-4987	470	1	j.	j.	PROPN
ejpam-4987	470	2	pure	pure	PROPN
ejpam-4987	470	3	appl	appl	PROPN
ejpam-4987	470	4	.	.	PROPN
ejpam-4987	470	5	math	math	PROPN
ejpam-4987	470	6	,	,	PUNCT
ejpam-4987	470	7	17	17	NUM
ejpam-4987	470	8	(	(	PUNCT
ejpam-4987	470	9	1	1	NUM
ejpam-4987	470	10	)	)	PUNCT
ejpam-4987	470	11	(	(	PUNCT
ejpam-4987	470	12	2024	2024	NUM
ejpam-4987	470	13	)	)	PUNCT
ejpam-4987	470	14	,	,	PUNCT
ejpam-4987	470	15	59	59	NUM
ejpam-4987	470	16	-	-	SYM
ejpam-4987	470	17	92	92	NUM
ejpam-4987	470	18	86	86	NUM
ejpam-4987	470	19	0	0	NUM
ejpam-4987	470	20	5	5	NUM
ejpam-4987	470	21	10	10	NUM
ejpam-4987	470	22	15	15	NUM
ejpam-4987	470	23	20	20	NUM
ejpam-4987	470	24	25	25	NUM
ejpam-4987	470	25	30	30	NUM
ejpam-4987	470	26	35	35	NUM
ejpam-4987	470	27	40	40	NUM
ejpam-4987	470	28	45	45	NUM
ejpam-4987	470	29	50	50	NUM
ejpam-4987	470	30	time[y	time[y	NOUN
ejpam-4987	470	31	]	]	PUNCT
ejpam-4987	470	32	0	0	NUM
ejpam-4987	470	33	0.5	0.5	NUM
ejpam-4987	470	34	1	1	NUM
ejpam-4987	470	35	1.5	1.5	NUM
ejpam-4987	470	36	2	2	NUM
ejpam-4987	470	37	2.5	2.5	NUM
ejpam-4987	470	38	3	3	NUM
ejpam-4987	470	39	3.5	3.5	NUM
ejpam-4987	470	40	re	re	NOUN
ejpam-4987	470	41	c	c	NOUN
ejpam-4987	470	42	o	o	X
ejpam-4987	470	43	v	v	X
ejpam-4987	470	44	e	e	X
ejpam-4987	470	45	re	re	NOUN
ejpam-4987	470	46	d	d	PROPN
ejpam-4987	470	47	10	10	NUM
ejpam-4987	470	48	7	7	NUM
ejpam-4987	470	49	population	population	NOUN
ejpam-4987	470	50	of	of	ADP
ejpam-4987	470	51	recovered	recovered	ADJ
ejpam-4987	470	52	recovered	recover	VERB
ejpam-4987	470	53	figure	figure	NOUN
ejpam-4987	470	54	7	7	NUM
ejpam-4987	470	55	:	:	PUNCT
ejpam-4987	470	56	evolution	evolution	NOUN
ejpam-4987	470	57	of	of	ADP
ejpam-4987	470	58	recovered	recover	VERB
ejpam-4987	470	59	individuals	individual	NOUN
ejpam-4987	470	60	here	here	ADV
ejpam-4987	470	61	,	,	PUNCT
ejpam-4987	470	62	the	the	DET
ejpam-4987	470	63	number	number	NOUN
ejpam-4987	470	64	of	of	ADP
ejpam-4987	470	65	cured	cure	VERB
ejpam-4987	470	66	or	or	CCONJ
ejpam-4987	470	67	recovered	recover	VERB
ejpam-4987	470	68	patients	patient	NOUN
ejpam-4987	470	69	increases	increase	VERB
ejpam-4987	470	70	significantly	significantly	ADV
ejpam-4987	470	71	(	(	PUNCT
ejpam-4987	470	72	7	7	NUM
ejpam-4987	470	73	)	)	PUNCT
ejpam-4987	470	74	,	,	PUNCT
ejpam-4987	470	75	as	as	SCONJ
ejpam-4987	470	76	90−95	90−95	NUM
ejpam-4987	470	77	%	%	NOUN
ejpam-4987	470	78	of	of	ADP
ejpam-4987	470	79	acutely	acutely	ADV
ejpam-4987	470	80	infected	infect	VERB
ejpam-4987	470	81	patients	patient	NOUN
ejpam-4987	470	82	recover	recover	VERB
ejpam-4987	470	83	,	,	PUNCT
ejpam-4987	470	84	and	and	CCONJ
ejpam-4987	470	85	30	30	NUM
ejpam-4987	470	86	%	%	NOUN
ejpam-4987	470	87	of	of	ADP
ejpam-4987	470	88	those	those	PRON
ejpam-4987	470	89	(	(	PUNCT
ejpam-4987	470	90	5	5	NUM
ejpam-4987	470	91	−	−	NUM
ejpam-4987	470	92	10	10	NUM
ejpam-4987	470	93	%	%	NOUN
ejpam-4987	470	94	)	)	PUNCT
ejpam-4987	470	95	who	who	PRON
ejpam-4987	470	96	become	become	VERB
ejpam-4987	470	97	chronically	chronically	ADV
ejpam-4987	470	98	infected	infect	VERB
ejpam-4987	470	99	are	be	AUX
ejpam-4987	470	100	healthy	healthy	ADJ
ejpam-4987	470	101	carriers	carrier	NOUN
ejpam-4987	470	102	[	[	X
ejpam-4987	470	103	35	35	NUM
ejpam-4987	470	104	]	]	PUNCT
ejpam-4987	470	105	,	,	PUNCT
ejpam-4987	470	106	and	and	CCONJ
ejpam-4987	470	107	therefore	therefore	ADV
ejpam-4987	470	108	recovered	recover	VERB
ejpam-4987	470	109	from	from	ADP
ejpam-4987	470	110	the	the	DET
ejpam-4987	470	111	hepatitis	hepatitis	PROPN
ejpam-4987	470	112	b	b	PROPN
ejpam-4987	470	113	virus	virus	NOUN
ejpam-4987	470	114	transmission	transmission	NOUN
ejpam-4987	470	115	process	process	NOUN
ejpam-4987	470	116	.	.	PUNCT
ejpam-4987	471	1	7	7	X
ejpam-4987	471	2	.	.	X
ejpam-4987	471	3	conclusion	conclusion	NOUN
ejpam-4987	471	4	in	in	ADP
ejpam-4987	471	5	this	this	DET
ejpam-4987	471	6	paper	paper	NOUN
ejpam-4987	471	7	,	,	PUNCT
ejpam-4987	471	8	a	a	DET
ejpam-4987	471	9	new	new	ADJ
ejpam-4987	471	10	differential	differential	ADJ
ejpam-4987	471	11	mathematical	mathematical	ADJ
ejpam-4987	471	12	model	model	NOUN
ejpam-4987	471	13	of	of	ADP
ejpam-4987	471	14	susceptibility	susceptibility	NOUN
ejpam-4987	471	15	and	and	CCONJ
ejpam-4987	471	16	infectivity	infectivity	NOUN
ejpam-4987	471	17	of	of	ADP
ejpam-4987	471	18	hepatitis	hepatitis	PROPN
ejpam-4987	471	19	b	b	PROPN
ejpam-4987	471	20	transmission	transmission	NOUN
ejpam-4987	471	21	was	be	AUX
ejpam-4987	471	22	developed	develop	VERB
ejpam-4987	471	23	to	to	PART
ejpam-4987	471	24	simulate	simulate	VERB
ejpam-4987	471	25	the	the	DET
ejpam-4987	471	26	potential	potential	ADJ
ejpam-4987	471	27	spread	spread	NOUN
ejpam-4987	471	28	of	of	ADP
ejpam-4987	471	29	hepatitis	hepatitis	PROPN
ejpam-4987	471	30	b	b	PROPN
ejpam-4987	471	31	virus	virus	NOUN
ejpam-4987	471	32	in	in	ADP
ejpam-4987	471	33	the	the	DET
ejpam-4987	471	34	population	population	NOUN
ejpam-4987	471	35	of	of	ADP
ejpam-4987	471	36	burkina	burkina	PROPN
ejpam-4987	471	37	faso	faso	PROPN
ejpam-4987	471	38	.	.	PUNCT
ejpam-4987	472	1	the	the	DET
ejpam-4987	472	2	global	global	ADJ
ejpam-4987	472	3	existence	existence	NOUN
ejpam-4987	472	4	and	and	CCONJ
ejpam-4987	472	5	uniqueness	uniqueness	NOUN
ejpam-4987	472	6	of	of	ADP
ejpam-4987	472	7	the	the	DET
ejpam-4987	472	8	model	model	NOUN
ejpam-4987	472	9	’s	’s	PART
ejpam-4987	472	10	solutions	solution	NOUN
ejpam-4987	472	11	have	have	AUX
ejpam-4987	472	12	been	be	AUX
ejpam-4987	472	13	proven	prove	VERB
ejpam-4987	472	14	.	.	PUNCT
ejpam-4987	473	1	mathematical	mathematical	ADJ
ejpam-4987	473	2	analysis	analysis	NOUN
ejpam-4987	473	3	of	of	ADP
ejpam-4987	473	4	the	the	DET
ejpam-4987	473	5	model	model	NOUN
ejpam-4987	473	6	shows	show	VERB
ejpam-4987	473	7	that	that	SCONJ
ejpam-4987	473	8	disease	disease	NOUN
ejpam-4987	473	9	progression	progression	NOUN
ejpam-4987	473	10	is	be	AUX
ejpam-4987	473	11	governed	govern	VERB
ejpam-4987	473	12	by	by	ADP
ejpam-4987	473	13	the	the	DET
ejpam-4987	473	14	basic	basic	ADJ
ejpam-4987	473	15	reproduction	reproduction	NOUN
ejpam-4987	473	16	number	number	NOUN
ejpam-4987	473	17	r0	r0	NOUN
ejpam-4987	473	18	,	,	PUNCT
ejpam-4987	473	19	which	which	PRON
ejpam-4987	473	20	is	be	AUX
ejpam-4987	473	21	a	a	DET
ejpam-4987	473	22	key	key	ADJ
ejpam-4987	473	23	concept	concept	NOUN
ejpam-4987	473	24	in	in	ADP
ejpam-4987	473	25	epidemiology	epidemiology	NOUN
ejpam-4987	473	26	.	.	PUNCT
ejpam-4987	474	1	when	when	SCONJ
ejpam-4987	474	2	r0	r0	VERB
ejpam-4987	474	3	<	<	X
ejpam-4987	474	4	1	1	NUM
ejpam-4987	474	5	,	,	PUNCT
ejpam-4987	474	6	the	the	DET
ejpam-4987	474	7	disease	disease	NOUN
ejpam-4987	474	8	disappears	disappear	VERB
ejpam-4987	474	9	from	from	ADP
ejpam-4987	474	10	the	the	DET
ejpam-4987	474	11	population	population	NOUN
ejpam-4987	474	12	,	,	PUNCT
ejpam-4987	474	13	resulting	result	VERB
ejpam-4987	474	14	in	in	ADP
ejpam-4987	474	15	a	a	DET
ejpam-4987	474	16	disease	disease	NOUN
ejpam-4987	474	17	-	-	PUNCT
ejpam-4987	474	18	free	free	ADJ
ejpam-4987	474	19	equilibrium	equilibrium	NOUN
ejpam-4987	474	20	that	that	PRON
ejpam-4987	474	21	has	have	AUX
ejpam-4987	474	22	been	be	AUX
ejpam-4987	474	23	proven	prove	VERB
ejpam-4987	474	24	to	to	PART
ejpam-4987	474	25	be	be	AUX
ejpam-4987	474	26	globally	globally	ADV
ejpam-4987	474	27	asymptotically	asymptotically	ADV
ejpam-4987	474	28	stable	stable	ADJ
ejpam-4987	474	29	.	.	PUNCT
ejpam-4987	475	1	on	on	ADP
ejpam-4987	475	2	the	the	DET
ejpam-4987	475	3	other	other	ADJ
ejpam-4987	475	4	hand	hand	NOUN
ejpam-4987	475	5	,	,	PUNCT
ejpam-4987	475	6	when	when	SCONJ
ejpam-4987	475	7	r0	r0	NOUN
ejpam-4987	475	8	>	>	X
ejpam-4987	475	9	1	1	NUM
ejpam-4987	475	10	,	,	PUNCT
ejpam-4987	475	11	the	the	DET
ejpam-4987	475	12	disease	disease	NOUN
ejpam-4987	475	13	persists	persist	VERB
ejpam-4987	475	14	,	,	PUNCT
ejpam-4987	475	15	leading	lead	VERB
ejpam-4987	475	16	to	to	ADP
ejpam-4987	475	17	an	an	DET
ejpam-4987	475	18	endemic	endemic	ADJ
ejpam-4987	475	19	state	state	NOUN
ejpam-4987	475	20	that	that	PRON
ejpam-4987	475	21	is	be	AUX
ejpam-4987	475	22	also	also	ADV
ejpam-4987	475	23	globally	globally	ADV
ejpam-4987	475	24	asymptotically	asymptotically	ADV
ejpam-4987	475	25	stable	stable	ADJ
ejpam-4987	475	26	.	.	PUNCT
ejpam-4987	476	1	the	the	DET
ejpam-4987	476	2	numerical	numerical	PROPN
ejpam-4987	476	3	simulation	simulation	NOUN
ejpam-4987	476	4	of	of	ADP
ejpam-4987	476	5	the	the	DET
ejpam-4987	476	6	model	model	NOUN
ejpam-4987	476	7	used	use	VERB
ejpam-4987	476	8	to	to	PART
ejpam-4987	476	9	predict	predict	VERB
ejpam-4987	476	10	the	the	DET
ejpam-4987	476	11	spread	spread	NOUN
ejpam-4987	476	12	of	of	ADP
ejpam-4987	476	13	infection	infection	NOUN
ejpam-4987	476	14	in	in	ADP
ejpam-4987	476	15	the	the	DET
ejpam-4987	476	16	population	population	NOUN
ejpam-4987	476	17	showed	show	VERB
ejpam-4987	476	18	that	that	SCONJ
ejpam-4987	476	19	:	:	PUNCT
ejpam-4987	476	20	references	reference	NOUN
ejpam-4987	476	21	87	87	NUM
ejpam-4987	476	22	•	•	NUM
ejpam-4987	476	23	r0	r0	NOUN
ejpam-4987	476	24	=	=	NOUN
ejpam-4987	476	25	3.6625	3.6625	NUM
ejpam-4987	476	26	>	>	SYM
ejpam-4987	476	27	1	1	NUM
ejpam-4987	476	28	,	,	PUNCT
ejpam-4987	476	29	which	which	PRON
ejpam-4987	476	30	proves	prove	VERB
ejpam-4987	476	31	that	that	SCONJ
ejpam-4987	476	32	the	the	DET
ejpam-4987	476	33	disease	disease	NOUN
ejpam-4987	476	34	is	be	AUX
ejpam-4987	476	35	persisting	persist	VERB
ejpam-4987	476	36	in	in	ADP
ejpam-4987	476	37	burkina	burkina	PROPN
ejpam-4987	476	38	faso	faso	PROPN
ejpam-4987	476	39	;	;	PUNCT
ejpam-4987	476	40	•	•	NUM
ejpam-4987	476	41	the	the	DET
ejpam-4987	476	42	number	number	NOUN
ejpam-4987	476	43	of	of	ADP
ejpam-4987	476	44	susceptible	susceptible	ADJ
ejpam-4987	476	45	people	people	NOUN
ejpam-4987	476	46	falls	fall	VERB
ejpam-4987	476	47	sharply	sharply	ADV
ejpam-4987	476	48	as	as	SCONJ
ejpam-4987	476	49	they	they	PRON
ejpam-4987	476	50	become	become	VERB
ejpam-4987	476	51	infected	infected	ADJ
ejpam-4987	476	52	due	due	ADP
ejpam-4987	476	53	to	to	ADP
ejpam-4987	476	54	the	the	DET
ejpam-4987	476	55	persistence	persistence	NOUN
ejpam-4987	476	56	of	of	ADP
ejpam-4987	476	57	the	the	DET
ejpam-4987	476	58	disease	disease	NOUN
ejpam-4987	476	59	;	;	PUNCT
ejpam-4987	476	60	•	•	NUM
ejpam-4987	476	61	the	the	DET
ejpam-4987	476	62	number	number	NOUN
ejpam-4987	476	63	of	of	ADP
ejpam-4987	476	64	chronic	chronic	ADJ
ejpam-4987	476	65	hepatitis	hepatitis	PROPN
ejpam-4987	476	66	b	b	PROPN
ejpam-4987	476	67	virus	virus	NOUN
ejpam-4987	476	68	carriers	carrier	NOUN
ejpam-4987	476	69	increases	increase	VERB
ejpam-4987	476	70	gradually	gradually	ADV
ejpam-4987	476	71	over	over	ADP
ejpam-4987	476	72	the	the	DET
ejpam-4987	476	73	fifty	fifty	NUM
ejpam-4987	476	74	-	-	PUNCT
ejpam-4987	476	75	year	year	NOUN
ejpam-4987	476	76	simulation	simulation	NOUN
ejpam-4987	476	77	period	period	NOUN
ejpam-4987	476	78	.	.	PUNCT
ejpam-4987	477	1	these	these	DET
ejpam-4987	477	2	numerical	numerical	ADJ
ejpam-4987	477	3	results	result	NOUN
ejpam-4987	477	4	confirm	confirm	VERB
ejpam-4987	477	5	the	the	DET
ejpam-4987	477	6	high	high	ADJ
ejpam-4987	477	7	endemicity	endemicity	NOUN
ejpam-4987	477	8	of	of	ADP
ejpam-4987	477	9	hepatitis	hepatitis	PROPN
ejpam-4987	477	10	b	b	ADP
ejpam-4987	477	11	viral	viral	ADJ
ejpam-4987	477	12	infection	infection	NOUN
ejpam-4987	477	13	in	in	ADP
ejpam-4987	477	14	burkina	burkina	PROPN
ejpam-4987	477	15	faso	faso	PROPN
ejpam-4987	477	16	,	,	PUNCT
ejpam-4987	477	17	which	which	PRON
ejpam-4987	477	18	is	be	AUX
ejpam-4987	477	19	why	why	SCONJ
ejpam-4987	477	20	this	this	DET
ejpam-4987	477	21	pathology	pathology	NOUN
ejpam-4987	477	22	remains	remain	VERB
ejpam-4987	477	23	a	a	DET
ejpam-4987	477	24	public	public	ADJ
ejpam-4987	477	25	health	health	NOUN
ejpam-4987	477	26	problem	problem	NOUN
ejpam-4987	477	27	for	for	ADP
ejpam-4987	477	28	the	the	DET
ejpam-4987	477	29	country	country	NOUN
ejpam-4987	477	30	.	.	PUNCT
ejpam-4987	478	1	in	in	ADP
ejpam-4987	478	2	perspective	perspective	NOUN
ejpam-4987	478	3	,	,	PUNCT
ejpam-4987	478	4	we	we	PRON
ejpam-4987	478	5	intend	intend	VERB
ejpam-4987	478	6	to	to	PART
ejpam-4987	478	7	improve	improve	VERB
ejpam-4987	478	8	this	this	DET
ejpam-4987	478	9	model	model	NOUN
ejpam-4987	478	10	by	by	ADP
ejpam-4987	478	11	taking	take	VERB
ejpam-4987	478	12	into	into	ADP
ejpam-4987	478	13	account	account	NOUN
ejpam-4987	478	14	vaccination	vaccination	NOUN
ejpam-4987	478	15	,	,	PUNCT
ejpam-4987	478	16	treatment	treatment	NOUN
ejpam-4987	478	17	and	and	CCONJ
ejpam-4987	478	18	awareness	awareness	NOUN
ejpam-4987	478	19	,	,	PUNCT
ejpam-4987	478	20	in	in	ADP
ejpam-4987	478	21	order	order	NOUN
ejpam-4987	478	22	to	to	PART
ejpam-4987	478	23	assess	assess	VERB
ejpam-4987	478	24	the	the	DET
ejpam-4987	478	25	impact	impact	NOUN
ejpam-4987	478	26	of	of	ADP
ejpam-4987	478	27	the	the	DET
ejpam-4987	478	28	strategies	strategy	NOUN
ejpam-4987	478	29	implemented	implement	VERB
ejpam-4987	478	30	in	in	ADP
ejpam-4987	478	31	burkina	burkina	PROPN
ejpam-4987	478	32	faso	faso	PROPN
ejpam-4987	478	33	to	to	PART
ejpam-4987	478	34	combat	combat	VERB
ejpam-4987	478	35	the	the	DET
ejpam-4987	478	36	spread	spread	NOUN
ejpam-4987	478	37	of	of	ADP
ejpam-4987	478	38	the	the	DET
ejpam-4987	478	39	virus	virus	NOUN
ejpam-4987	478	40	.	.	PUNCT
ejpam-4987	479	1	acknowledgements	acknowledgement	VERB
ejpam-4987	479	2	the	the	DET
ejpam-4987	479	3	authors	author	NOUN
ejpam-4987	479	4	thank	thank	VERB
ejpam-4987	479	5	world	world	PROPN
ejpam-4987	479	6	bank	bank	PROPN
ejpam-4987	479	7	for	for	ADP
ejpam-4987	479	8	its	its	PRON
ejpam-4987	479	9	financial	financial	ADJ
ejpam-4987	479	10	support	support	NOUN
ejpam-4987	479	11	.	.	PUNCT
ejpam-4987	480	1	references	reference	NOUN
ejpam-4987	480	2	[	[	X
ejpam-4987	480	3	1	1	NUM
ejpam-4987	480	4	]	]	PUNCT
ejpam-4987	480	5	h.	h.	PROPN
ejpam-4987	480	6	alaa	alaa	PROPN
ejpam-4987	480	7	,	,	PUNCT
ejpam-4987	480	8	n.-e	n.-e	PROPN
ejpam-4987	480	9	.	.	PUNCT
ejpam-4987	481	1	alaa	alaa	PROPN
ejpam-4987	481	2	,	,	PUNCT
ejpam-4987	481	3	and	and	CCONJ
ejpam-4987	481	4	f.	f.	PROPN
ejpam-4987	481	5	aqel	aqel	PROPN
ejpam-4987	481	6	.	.	PUNCT
ejpam-4987	482	1	development	development	NOUN
ejpam-4987	482	2	and	and	CCONJ
ejpam-4987	482	3	simulation	simulation	NOUN
ejpam-4987	482	4	of	of	ADP
ejpam-4987	482	5	a	a	DET
ejpam-4987	482	6	mathematical	mathematical	ADJ
ejpam-4987	482	7	model	model	NOUN
ejpam-4987	482	8	to	to	PART
ejpam-4987	482	9	simulate	simulate	VERB
ejpam-4987	482	10	the	the	DET
ejpam-4987	482	11	phase	phase	NOUN
ejpam-4987	482	12	transmissibility	transmissibility	NOUN
ejpam-4987	482	13	of	of	ADP
ejpam-4987	482	14	covid19	covid19	NOUN
ejpam-4987	482	15	in	in	ADP
ejpam-4987	482	16	morocco	morocco	PROPN
ejpam-4987	482	17	.	.	PUNCT
ejpam-4987	483	1	annals	annal	NOUN
ejpam-4987	483	2	of	of	ADP
ejpam-4987	483	3	the	the	DET
ejpam-4987	483	4	university	university	NOUN
ejpam-4987	483	5	of	of	ADP
ejpam-4987	483	6	craiova	craiova	PROPN
ejpam-4987	483	7	-	-	PUNCT
ejpam-4987	483	8	mathematics	mathematic	NOUN
ejpam-4987	483	9	and	and	CCONJ
ejpam-4987	483	10	computer	computer	NOUN
ejpam-4987	483	11	science	science	NOUN
ejpam-4987	483	12	series	series	PROPN
ejpam-4987	483	13	,	,	PUNCT
ejpam-4987	483	14	49(1):75–83	49(1):75–83	NUM
ejpam-4987	483	15	,	,	PUNCT
ejpam-4987	483	16	2022	2022	NUM
ejpam-4987	483	17	.	.	PUNCT
ejpam-4987	484	1	[	[	X
ejpam-4987	484	2	2	2	NUM
ejpam-4987	484	3	]	]	PUNCT
ejpam-4987	484	4	r.-m	r.-m	NOUN
ejpam-4987	484	5	.	.	PUNCT
ejpam-4987	485	1	anderson	anderson	PROPN
ejpam-4987	485	2	and	and	CCONJ
ejpam-4987	485	3	r.-m	r.-m	PROPN
ejpam-4987	485	4	.	.	PUNCT
ejpam-4987	486	1	may	may	AUX
ejpam-4987	486	2	.	.	PUNCT
ejpam-4987	487	1	infectious	infectious	ADJ
ejpam-4987	487	2	diseases	disease	NOUN
ejpam-4987	487	3	of	of	ADP
ejpam-4987	487	4	humans	human	NOUN
ejpam-4987	487	5	:	:	PUNCT
ejpam-4987	487	6	dynamics	dynamic	NOUN
ejpam-4987	487	7	and	and	CCONJ
ejpam-4987	487	8	control	control	NOUN
ejpam-4987	487	9	.	.	PUNCT
ejpam-4987	488	1	1992	1992	NUM
ejpam-4987	488	2	.	.	PUNCT
ejpam-4987	489	1	[	[	X
ejpam-4987	489	2	3	3	X
ejpam-4987	489	3	]	]	PUNCT
ejpam-4987	489	4	f.	f.	PROPN
ejpam-4987	489	5	aqel	aqel	PROPN
ejpam-4987	489	6	,	,	PUNCT
ejpam-4987	489	7	h.	h.	PROPN
ejpam-4987	489	8	alaa	alaa	PROPN
ejpam-4987	489	9	,	,	PUNCT
ejpam-4987	489	10	and	and	CCONJ
ejpam-4987	489	11	n.-e	n.-e	NOUN
ejpam-4987	489	12	.	.	PUNCT
ejpam-4987	490	1	alaa	alaa	PROPN
ejpam-4987	490	2	.	.	PUNCT
ejpam-4987	491	1	mathematical	mathematical	ADJ
ejpam-4987	491	2	model	model	NOUN
ejpam-4987	491	3	of	of	ADP
ejpam-4987	491	4	covid-19	covid-19	PROPN
ejpam-4987	491	5	transmissibility	transmissibility	NOUN
ejpam-4987	491	6	during	during	ADP
ejpam-4987	491	7	the	the	DET
ejpam-4987	491	8	vaccination	vaccination	NOUN
ejpam-4987	491	9	period	period	NOUN
ejpam-4987	491	10	.	.	PUNCT
ejpam-4987	492	1	eurasian	eurasian	ADJ
ejpam-4987	492	2	journal	journal	PROPN
ejpam-4987	492	3	of	of	ADP
ejpam-4987	492	4	mathematical	mathematical	ADJ
ejpam-4987	492	5	and	and	CCONJ
ejpam-4987	492	6	computer	computer	NOUN
ejpam-4987	492	7	applications	application	NOUN
ejpam-4987	492	8	,	,	PUNCT
ejpam-4987	492	9	11(1):4–28	11(1):4–28	NUM
ejpam-4987	492	10	,	,	PUNCT
ejpam-4987	492	11	2023	2023	NUM
ejpam-4987	492	12	.	.	PUNCT
ejpam-4987	493	1	[	[	X
ejpam-4987	493	2	4	4	NUM
ejpam-4987	493	3	]	]	X
ejpam-4987	493	4	c.	c.	PROPN
ejpam-4987	493	5	bounkaicha	bounkaicha	PROPN
ejpam-4987	493	6	,	,	PUNCT
ejpam-4987	493	7	k.	k.	PROPN
ejpam-4987	493	8	allali	allali	PROPN
ejpam-4987	493	9	,	,	PUNCT
ejpam-4987	493	10	y.	y.	PROPN
ejpam-4987	493	11	tabit	tabit	PROPN
ejpam-4987	493	12	,	,	PUNCT
ejpam-4987	493	13	and	and	CCONJ
ejpam-4987	493	14	danane	danane	VERB
ejpam-4987	493	15	j.	j.	PROPN
ejpam-4987	493	16	global	global	PROPN
ejpam-4987	493	17	dynamic	dynamic	PROPN
ejpam-4987	493	18	of	of	ADP
ejpam-4987	493	19	spatio	spatio	PROPN
ejpam-4987	493	20	-	-	PUNCT
ejpam-4987	493	21	temporal	temporal	ADJ
ejpam-4987	493	22	fractional	fractional	ADJ
ejpam-4987	493	23	order	order	NOUN
ejpam-4987	493	24	seir	seir	NOUN
ejpam-4987	493	25	model	model	NOUN
ejpam-4987	493	26	.	.	PUNCT
ejpam-4987	494	1	mathematical	mathematical	ADJ
ejpam-4987	494	2	modeling	modeling	NOUN
ejpam-4987	494	3	and	and	CCONJ
ejpam-4987	494	4	computing	computing	NOUN
ejpam-4987	494	5	,	,	PUNCT
ejpam-4987	494	6	10(2):299–310	10(2):299–310	PROPN
ejpam-4987	494	7	,	,	PUNCT
ejpam-4987	494	8	2023	2023	NUM
ejpam-4987	494	9	.	.	PUNCT
ejpam-4987	495	1	[	[	X
ejpam-4987	495	2	5	5	NUM
ejpam-4987	495	3	]	]	PUNCT
ejpam-4987	495	4	c.	c.	PROPN
ejpam-4987	495	5	castillo	castillo	PROPN
ejpam-4987	495	6	-	-	PUNCT
ejpam-4987	495	7	chavez	chavez	PROPN
ejpam-4987	495	8	,	,	PUNCT
ejpam-4987	495	9	s.	s.	PROPN
ejpam-4987	495	10	blower	blower	PROPN
ejpam-4987	495	11	,	,	PUNCT
ejpam-4987	495	12	p.	p.	PROPN
ejpam-4987	495	13	van	van	PROPN
ejpam-4987	495	14	den	den	PROPN
ejpam-4987	495	15	driessche	driessche	PROPN
ejpam-4987	495	16	,	,	PUNCT
ejpam-4987	495	17	d.	d.	PROPN
ejpam-4987	495	18	kirschner	kirschner	PROPN
ejpam-4987	495	19	,	,	PUNCT
ejpam-4987	495	20	and	and	CCONJ
ejpam-4987	495	21	a.-a	a.-a	PROPN
ejpam-4987	495	22	.	.	PUNCT
ejpam-4987	496	1	yakubu	yakubu	PROPN
ejpam-4987	496	2	.	.	PROPN
ejpam-4987	496	3	mathematical	mathematical	PROPN
ejpam-4987	496	4	approaches	approach	NOUN
ejpam-4987	496	5	for	for	ADP
ejpam-4987	496	6	emerging	emerge	VERB
ejpam-4987	496	7	and	and	CCONJ
ejpam-4987	496	8	reemerging	reemerging	ADJ
ejpam-4987	496	9	infectious	infectious	ADJ
ejpam-4987	496	10	diseases	disease	NOUN
ejpam-4987	496	11	:	:	PUNCT
ejpam-4987	496	12	models	model	NOUN
ejpam-4987	496	13	,	,	PUNCT
ejpam-4987	496	14	methods	method	NOUN
ejpam-4987	496	15	,	,	PUNCT
ejpam-4987	496	16	and	and	CCONJ
ejpam-4987	496	17	theory	theory	NOUN
ejpam-4987	496	18	,	,	PUNCT
ejpam-4987	496	19	volume	volume	NOUN
ejpam-4987	496	20	126	126	NUM
ejpam-4987	496	21	.	.	PUNCT
ejpam-4987	497	1	springer	springer	NOUN
ejpam-4987	497	2	science	science	PROPN
ejpam-4987	497	3	&	&	CCONJ
ejpam-4987	497	4	business	business	NOUN
ejpam-4987	497	5	media	medium	NOUN
ejpam-4987	497	6	,	,	PUNCT
ejpam-4987	497	7	2002	2002	NUM
ejpam-4987	497	8	.	.	PUNCT
ejpam-4987	498	1	[	[	X
ejpam-4987	498	2	6	6	NUM
ejpam-4987	498	3	]	]	X
ejpam-4987	498	4	c.-c	c.-c	PROPN
ejpam-4987	498	5	.	.	PUNCT
ejpam-4987	499	1	chavez	chavez	PROPN
ejpam-4987	499	2	,	,	PUNCT
ejpam-4987	499	3	z.	z.	PROPN
ejpam-4987	499	4	feng	feng	PROPN
ejpam-4987	499	5	,	,	PUNCT
ejpam-4987	499	6	and	and	CCONJ
ejpam-4987	499	7	w.	w.	PROPN
ejpam-4987	499	8	huang	huang	PROPN
ejpam-4987	499	9	.	.	PROPN
ejpam-4987	500	1	on	on	ADP
ejpam-4987	500	2	the	the	DET
ejpam-4987	500	3	computation	computation	NOUN
ejpam-4987	500	4	of	of	ADP
ejpam-4987	500	5	r0	r0	NOUN
ejpam-4987	500	6	and	and	CCONJ
ejpam-4987	500	7	its	its	PRON
ejpam-4987	500	8	role	role	NOUN
ejpam-4987	500	9	on	on	ADP
ejpam-4987	500	10	global	global	ADJ
ejpam-4987	500	11	stability	stability	NOUN
ejpam-4987	500	12	.	.	PUNCT
ejpam-4987	501	1	mathematical	mathematical	ADJ
ejpam-4987	501	2	approaches	approach	NOUN
ejpam-4987	501	3	for	for	ADP
ejpam-4987	501	4	emerging	emerge	VERB
ejpam-4987	501	5	and	and	CCONJ
ejpam-4987	501	6	re	re	ADJ
ejpam-4987	501	7	-	-	ADJ
ejpam-4987	501	8	emerging	emerge	VERB
ejpam-4987	501	9	infection	infection	NOUN
ejpam-4987	501	10	diseases	disease	NOUN
ejpam-4987	501	11	:	:	PUNCT
ejpam-4987	501	12	an	an	DET
ejpam-4987	501	13	introduction	introduction	NOUN
ejpam-4987	501	14	,	,	PUNCT
ejpam-4987	501	15	125:31–65	125:31–65	NUM
ejpam-4987	501	16	,	,	PUNCT
ejpam-4987	501	17	2002	2002	NUM
ejpam-4987	501	18	.	.	PUNCT
ejpam-4987	502	1	[	[	X
ejpam-4987	502	2	7	7	X
ejpam-4987	502	3	]	]	X
ejpam-4987	502	4	d.	d.	PROPN
ejpam-4987	502	5	debray	debray	VERB
ejpam-4987	502	6	.	.	PUNCT
ejpam-4987	503	1	hepatitis	hepatitis	PROPN
ejpam-4987	503	2	b	b	PROPN
ejpam-4987	503	3	and	and	CCONJ
ejpam-4987	503	4	c	c	PROPN
ejpam-4987	503	5	in	in	ADP
ejpam-4987	503	6	children	child	NOUN
ejpam-4987	503	7	:	:	PUNCT
ejpam-4987	503	8	natural	natural	ADJ
ejpam-4987	503	9	history	history	NOUN
ejpam-4987	503	10	and	and	CCONJ
ejpam-4987	503	11	treatment	treatment	NOUN
ejpam-4987	503	12	,	,	PUNCT
ejpam-4987	503	13	pediatric	pediatric	ADJ
ejpam-4987	503	14	hepatology	hepatology	NOUN
ejpam-4987	503	15	,	,	PUNCT
ejpam-4987	503	16	necker	necker	NOUN
ejpam-4987	503	17	hospital	hospital	PROPN
ejpam-4987	503	18	.	.	PUNCT
ejpam-4987	504	1	january	january	PROPN
ejpam-4987	504	2	2015	2015	NUM
ejpam-4987	504	3	.	.	PUNCT
ejpam-4987	505	1	references	reference	NOUN
ejpam-4987	505	2	88	88	NUM
ejpam-4987	505	3	[	[	NOUN
ejpam-4987	505	4	8	8	NUM
ejpam-4987	505	5	]	]	X
ejpam-4987	505	6	o.	o.	NOUN
ejpam-4987	505	7	diekmann	diekmann	PROPN
ejpam-4987	505	8	and	and	CCONJ
ejpam-4987	505	9	j.-a.-p	j.-a.-p	PROPN
ejpam-4987	505	10	.	.	PUNCT
ejpam-4987	506	1	heesterbeek	heesterbeek	PROPN
ejpam-4987	506	2	.	.	PUNCT
ejpam-4987	507	1	mathematical	mathematical	ADJ
ejpam-4987	507	2	epidemiology	epidemiology	NOUN
ejpam-4987	507	3	of	of	ADP
ejpam-4987	507	4	infectious	infectious	ADJ
ejpam-4987	507	5	diseases	disease	NOUN
ejpam-4987	507	6	:	:	PUNCT
ejpam-4987	507	7	model	model	NOUN
ejpam-4987	507	8	building	building	NOUN
ejpam-4987	507	9	,	,	PUNCT
ejpam-4987	507	10	analysis	analysis	NOUN
ejpam-4987	507	11	and	and	CCONJ
ejpam-4987	507	12	interpretation	interpretation	NOUN
ejpam-4987	507	13	.	.	PUNCT
ejpam-4987	508	1	john	john	PROPN
ejpam-4987	508	2	wiley	wiley	PROPN
ejpam-4987	508	3	&	&	CCONJ
ejpam-4987	508	4	sons	son	NOUN
ejpam-4987	508	5	,	,	PUNCT
ejpam-4987	508	6	5:262	5:262	NUM
ejpam-4987	508	7	,	,	PUNCT
ejpam-4987	508	8	2000	2000	NUM
ejpam-4987	508	9	.	.	PUNCT
ejpam-4987	509	1	[	[	X
ejpam-4987	509	2	9	9	NUM
ejpam-4987	509	3	]	]	PUNCT
ejpam-4987	509	4	a.	a.	NOUN
ejpam-4987	509	5	din	din	PROPN
ejpam-4987	509	6	.	.	PUNCT
ejpam-4987	510	1	the	the	DET
ejpam-4987	510	2	stochastic	stochastic	ADJ
ejpam-4987	510	3	bifurcation	bifurcation	NOUN
ejpam-4987	510	4	analysis	analysis	NOUN
ejpam-4987	510	5	and	and	CCONJ
ejpam-4987	510	6	stochastic	stochastic	NOUN
ejpam-4987	510	7	delayed	delay	VERB
ejpam-4987	510	8	optimal	optimal	ADJ
ejpam-4987	510	9	control	control	NOUN
ejpam-4987	510	10	for	for	ADP
ejpam-4987	510	11	epidemic	epidemic	NOUN
ejpam-4987	510	12	model	model	NOUN
ejpam-4987	510	13	with	with	ADP
ejpam-4987	510	14	general	general	ADJ
ejpam-4987	510	15	incidence	incidence	NOUN
ejpam-4987	510	16	function	function	NOUN
ejpam-4987	510	17	.	.	PUNCT
ejpam-4987	511	1	chaos	chaos	NOUN
ejpam-4987	511	2	:	:	PUNCT
ejpam-4987	511	3	an	an	DET
ejpam-4987	511	4	interdisciplinary	interdisciplinary	ADJ
ejpam-4987	511	5	journal	journal	NOUN
ejpam-4987	511	6	of	of	ADP
ejpam-4987	511	7	nonlinear	nonlinear	ADJ
ejpam-4987	511	8	science	science	NOUN
ejpam-4987	511	9	,	,	PUNCT
ejpam-4987	511	10	31(12):123101	31(12):123101	NUM
ejpam-4987	511	11	,	,	PUNCT
ejpam-4987	511	12	2021	2021	NUM
ejpam-4987	511	13	.	.	PUNCT
ejpam-4987	512	1	[	[	X
ejpam-4987	512	2	10	10	NUM
ejpam-4987	512	3	]	]	X
ejpam-4987	512	4	a.	a.	NOUN
ejpam-4987	512	5	din	din	PROPN
ejpam-4987	512	6	and	and	CCONJ
ejpam-4987	512	7	y.	y.	PROPN
ejpam-4987	512	8	li	li	PROPN
ejpam-4987	512	9	.	.	PROPN
ejpam-4987	512	10	stationary	stationary	ADJ
ejpam-4987	512	11	distribution	distribution	NOUN
ejpam-4987	512	12	extinction	extinction	NOUN
ejpam-4987	512	13	and	and	CCONJ
ejpam-4987	512	14	optimal	optimal	ADJ
ejpam-4987	512	15	control	control	NOUN
ejpam-4987	512	16	for	for	ADP
ejpam-4987	512	17	the	the	DET
ejpam-4987	512	18	stochastic	stochastic	ADJ
ejpam-4987	512	19	hepatitis	hepatitis	NOUN
ejpam-4987	512	20	b	b	PROPN
ejpam-4987	512	21	epidemic	epidemic	NOUN
ejpam-4987	512	22	model	model	NOUN
ejpam-4987	512	23	with	with	ADP
ejpam-4987	512	24	partial	partial	ADJ
ejpam-4987	512	25	immunity	immunity	NOUN
ejpam-4987	512	26	.	.	PUNCT
ejpam-4987	513	1	physica	physica	PROPN
ejpam-4987	513	2	scripta	scripta	PROPN
ejpam-4987	513	3	,	,	PUNCT
ejpam-4987	513	4	96(7):074005	96(7):074005	NUM
ejpam-4987	513	5	,	,	PUNCT
ejpam-4987	513	6	2021	2021	NUM
ejpam-4987	513	7	.	.	PUNCT
ejpam-4987	514	1	[	[	X
ejpam-4987	514	2	11	11	NUM
ejpam-4987	514	3	]	]	PUNCT
ejpam-4987	514	4	a.	a.	NOUN
ejpam-4987	514	5	din	din	PROPN
ejpam-4987	514	6	and	and	CCONJ
ejpam-4987	514	7	y.	y.	PROPN
ejpam-4987	514	8	li	li	PROPN
ejpam-4987	514	9	.	.	PUNCT
ejpam-4987	514	10	stochastic	stochastic	ADJ
ejpam-4987	514	11	optimal	optimal	ADJ
ejpam-4987	514	12	control	control	NOUN
ejpam-4987	514	13	for	for	ADP
ejpam-4987	514	14	norovirus	norovirus	NOUN
ejpam-4987	514	15	transmission	transmission	NOUN
ejpam-4987	514	16	dynamics	dynamic	NOUN
ejpam-4987	514	17	by	by	ADP
ejpam-4987	514	18	contaminated	contaminate	VERB
ejpam-4987	514	19	food	food	NOUN
ejpam-4987	514	20	and	and	CCONJ
ejpam-4987	514	21	water	water	NOUN
ejpam-4987	514	22	.	.	PUNCT
ejpam-4987	515	1	chinese	chinese	ADJ
ejpam-4987	515	2	physics	physics	PROPN
ejpam-4987	515	3	b	b	PROPN
ejpam-4987	515	4	,	,	PUNCT
ejpam-4987	515	5	31(2):020202	31(2):020202	PROPN
ejpam-4987	515	6	,	,	PUNCT
ejpam-4987	515	7	2022	2022	NUM
ejpam-4987	515	8	.	.	PUNCT
ejpam-4987	516	1	[	[	X
ejpam-4987	516	2	12	12	NUM
ejpam-4987	516	3	]	]	PUNCT
ejpam-4987	516	4	a.	a.	NOUN
ejpam-4987	516	5	din	din	PROPN
ejpam-4987	516	6	,	,	PUNCT
ejpam-4987	516	7	y.	y.	PROPN
ejpam-4987	516	8	li	li	PROPN
ejpam-4987	516	9	,	,	PUNCT
ejpam-4987	516	10	f.	f.	PROPN
ejpam-4987	516	11	muhammad	muhammad	PROPN
ejpam-4987	516	12	khan	khan	PROPN
ejpam-4987	516	13	,	,	PUNCT
ejpam-4987	516	14	z.-u	z.-u	PROPN
ejpam-4987	516	15	.	.	PUNCT
ejpam-4987	517	1	khan	khan	PROPN
ejpam-4987	517	2	,	,	PUNCT
ejpam-4987	517	3	and	and	CCONJ
ejpam-4987	517	4	p.	p.	PROPN
ejpam-4987	517	5	liu	liu	PROPN
ejpam-4987	517	6	.	.	PUNCT
ejpam-4987	518	1	on	on	ADP
ejpam-4987	518	2	analysis	analysis	NOUN
ejpam-4987	518	3	of	of	ADP
ejpam-4987	518	4	fractional	fractional	ADJ
ejpam-4987	518	5	order	order	NOUN
ejpam-4987	518	6	mathematical	mathematical	ADJ
ejpam-4987	518	7	model	model	NOUN
ejpam-4987	518	8	of	of	ADP
ejpam-4987	518	9	hepatitis	hepatitis	PROPN
ejpam-4987	518	10	b	b	PROPN
ejpam-4987	518	11	using	use	VERB
ejpam-4987	518	12	atangana	atangana	PROPN
ejpam-4987	518	13	–	–	PUNCT
ejpam-4987	518	14	baleanu	baleanu	PROPN
ejpam-4987	518	15	caputo	caputo	PROPN
ejpam-4987	518	16	(	(	PUNCT
ejpam-4987	518	17	abc	abc	PROPN
ejpam-4987	518	18	)	)	PUNCT
ejpam-4987	518	19	derivative	derivative	NOUN
ejpam-4987	518	20	.	.	PUNCT
ejpam-4987	518	21	fractals	fractal	NOUN
ejpam-4987	518	22	,	,	PUNCT
ejpam-4987	518	23	30(01):2240017	30(01):2240017	NUM
ejpam-4987	518	24	,	,	PUNCT
ejpam-4987	518	25	2022	2022	NUM
ejpam-4987	518	26	.	.	PUNCT
ejpam-4987	519	1	[	[	X
ejpam-4987	519	2	13	13	NUM
ejpam-4987	519	3	]	]	PUNCT
ejpam-4987	519	4	a.	a.	NOUN
ejpam-4987	519	5	din	din	PROPN
ejpam-4987	519	6	,	,	PUNCT
ejpam-4987	519	7	y.	y.	PROPN
ejpam-4987	519	8	li	li	PROPN
ejpam-4987	519	9	,	,	PUNCT
ejpam-4987	519	10	a.	a.	PROPN
ejpam-4987	519	11	yusuf	yusuf	PROPN
ejpam-4987	519	12	,	,	PUNCT
ejpam-4987	519	13	and	and	CCONJ
ejpam-4987	519	14	a.-i	a.-i	PROPN
ejpam-4987	519	15	.	.	PROPN
ejpam-4987	520	1	ali	ali	PROPN
ejpam-4987	520	2	.	.	PUNCT
ejpam-4987	521	1	caputo	caputo	PROPN
ejpam-4987	521	2	type	type	NOUN
ejpam-4987	521	3	fractional	fractional	ADJ
ejpam-4987	521	4	operator	operator	NOUN
ejpam-4987	521	5	applied	apply	VERB
ejpam-4987	521	6	to	to	ADP
ejpam-4987	521	7	hepatitis	hepatitis	PROPN
ejpam-4987	521	8	b	b	PROPN
ejpam-4987	521	9	system	system	NOUN
ejpam-4987	521	10	.	.	PUNCT
ejpam-4987	522	1	fractals	fractal	NOUN
ejpam-4987	522	2	,	,	PUNCT
ejpam-4987	522	3	30(01):2240023	30(01):2240023	NUM
ejpam-4987	522	4	,	,	PUNCT
ejpam-4987	522	5	2022	2022	NUM
ejpam-4987	522	6	.	.	PUNCT
ejpam-4987	523	1	[	[	X
ejpam-4987	523	2	14	14	NUM
ejpam-4987	523	3	]	]	PUNCT
ejpam-4987	523	4	x.	x.	PROPN
ejpam-4987	523	5	duan	duan	PROPN
ejpam-4987	523	6	,	,	PUNCT
ejpam-4987	523	7	s.	s.	PROPN
ejpam-4987	523	8	yuan	yuan	PROPN
ejpam-4987	523	9	,	,	PUNCT
ejpam-4987	523	10	and	and	CCONJ
ejpam-4987	523	11	x.	x.	PROPN
ejpam-4987	523	12	li	li	PROPN
ejpam-4987	523	13	.	.	PROPN
ejpam-4987	523	14	global	global	ADJ
ejpam-4987	523	15	stability	stability	NOUN
ejpam-4987	523	16	of	of	ADP
ejpam-4987	523	17	an	an	DET
ejpam-4987	523	18	svir	svir	NOUN
ejpam-4987	523	19	model	model	NOUN
ejpam-4987	523	20	with	with	ADP
ejpam-4987	523	21	age	age	NOUN
ejpam-4987	523	22	of	of	ADP
ejpam-4987	523	23	vaccination	vaccination	NOUN
ejpam-4987	523	24	.	.	PUNCT
ejpam-4987	524	1	applied	apply	VERB
ejpam-4987	524	2	mathematics	mathematic	NOUN
ejpam-4987	524	3	and	and	CCONJ
ejpam-4987	524	4	computation	computation	NOUN
ejpam-4987	524	5	,	,	PUNCT
ejpam-4987	524	6	226:528–540	226:528–540	NUM
ejpam-4987	524	7	,	,	PUNCT
ejpam-4987	524	8	2014	2014	NUM
ejpam-4987	524	9	.	.	PUNCT
ejpam-4987	525	1	[	[	X
ejpam-4987	525	2	15	15	NUM
ejpam-4987	525	3	]	]	PUNCT
ejpam-4987	525	4	w.-j	w.-j	PROPN
ejpam-4987	525	5	.	.	PROPN
ejpam-4987	525	6	edmunds	edmunds	PROPN
ejpam-4987	525	7	,	,	PUNCT
ejpam-4987	525	8	g.-f	g.-f	NOUN
ejpam-4987	525	9	.	.	PUNCT
ejpam-4987	526	1	medley	medley	NOUN
ejpam-4987	526	2	,	,	PUNCT
ejpam-4987	526	3	d.-j	d.-j	PROPN
ejpam-4987	526	4	.	.	PUNCT
ejpam-4987	527	1	nokes	noke	NOUN
ejpam-4987	527	2	,	,	PUNCT
ejpam-4987	527	3	c.-j	c.-j	PROPN
ejpam-4987	527	4	.	.	PUNCT
ejpam-4987	528	1	ocallaghan	ocallaghan	PROPN
ejpam-4987	528	2	,	,	PUNCT
ejpam-4987	528	3	h.-c	h.-c	PROPN
ejpam-4987	528	4	.	.	PUNCT
ejpam-4987	529	1	whittle	whittle	VERB
ejpam-4987	529	2	,	,	PUNCT
ejpam-4987	529	3	and	and	CCONJ
ejpam-4987	529	4	a.j	a.j	PROPN
ejpam-4987	529	5	.	.	PROPN
ejpam-4987	529	6	hall	hall	PROPN
ejpam-4987	529	7	.	.	PUNCT
ejpam-4987	530	1	epidemiological	epidemiological	ADJ
ejpam-4987	530	2	patterns	pattern	NOUN
ejpam-4987	530	3	of	of	ADP
ejpam-4987	530	4	hepatitis	hepatitis	PROPN
ejpam-4987	530	5	b	b	PROPN
ejpam-4987	530	6	virus	virus	NOUN
ejpam-4987	530	7	(	(	PUNCT
ejpam-4987	530	8	hbv	hbv	NOUN
ejpam-4987	530	9	)	)	PUNCT
ejpam-4987	530	10	in	in	ADP
ejpam-4987	530	11	highly	highly	ADV
ejpam-4987	530	12	endemic	endemic	ADJ
ejpam-4987	530	13	areas	area	NOUN
ejpam-4987	530	14	.	.	PUNCT
ejpam-4987	531	1	epidemiol	epidemiol	PROPN
ejpam-4987	531	2	infect	infect	PROPN
ejpam-4987	531	3	.	.	PUNCT
ejpam-4987	531	4	,	,	PUNCT
ejpam-4987	531	5	117(2):313–325	117(2):313–325	PROPN
ejpam-4987	531	6	,	,	PUNCT
ejpam-4987	531	7	1996	1996	NUM
ejpam-4987	531	8	.	.	PUNCT
ejpam-4987	532	1	[	[	X
ejpam-4987	532	2	16	16	NUM
ejpam-4987	532	3	]	]	PUNCT
ejpam-4987	532	4	a.	a.	NOUN
ejpam-4987	532	5	a.	a.	NOUN
ejpam-4987	532	6	fall	fall	NOUN
ejpam-4987	532	7	.	.	PUNCT
ejpam-4987	533	1	studies	study	NOUN
ejpam-4987	533	2	of	of	ADP
ejpam-4987	533	3	some	some	DET
ejpam-4987	533	4	epidemiological	epidemiological	ADJ
ejpam-4987	533	5	models	model	NOUN
ejpam-4987	533	6	:	:	PUNCT
ejpam-4987	533	7	application	application	NOUN
ejpam-4987	533	8	to	to	ADP
ejpam-4987	533	9	the	the	DET
ejpam-4987	533	10	transmission	transmission	NOUN
ejpam-4987	533	11	of	of	ADP
ejpam-4987	533	12	the	the	DET
ejpam-4987	533	13	hepatitis	hepatitis	PROPN
ejpam-4987	533	14	b	b	PROPN
ejpam-4987	533	15	virus	virus	NOUN
ejpam-4987	533	16	in	in	ADP
ejpam-4987	533	17	sub	sub	ADJ
ejpam-4987	533	18	-	-	ADJ
ejpam-4987	533	19	saharan	saharan	ADJ
ejpam-4987	533	20	africa	africa	PROPN
ejpam-4987	533	21	(	(	PUNCT
ejpam-4987	533	22	case	case	NOUN
ejpam-4987	533	23	of	of	ADP
ejpam-4987	533	24	senegal	senegal	NOUN
ejpam-4987	533	25	)	)	PUNCT
ejpam-4987	533	26	,	,	PUNCT
ejpam-4987	533	27	2013	2013	NUM
ejpam-4987	533	28	.	.	PUNCT
ejpam-4987	534	1	[	[	X
ejpam-4987	534	2	17	17	NUM
ejpam-4987	534	3	]	]	PUNCT
ejpam-4987	534	4	j.	j.	PROPN
ejpam-4987	534	5	feld	feld	PROPN
ejpam-4987	534	6	,	,	PUNCT
ejpam-4987	534	7	h.	h.	PROPN
ejpam-4987	534	8	l.	l.	PROPN
ejpam-4987	534	9	janssen	janssen	PROPN
ejpam-4987	534	10	,	,	PUNCT
ejpam-4987	534	11	z.	z.	PROPN
ejpam-4987	534	12	abbas	abbas	PROPN
ejpam-4987	534	13	,	,	PUNCT
ejpam-4987	534	14	a.	a.	NOUN
ejpam-4987	534	15	elewaut	elewaut	PROPN
ejpam-4987	534	16	,	,	PUNCT
ejpam-4987	534	17	p.	p.	PROPN
ejpam-4987	534	18	ferenci	ferenci	PROPN
ejpam-4987	534	19	,	,	PUNCT
ejpam-4987	534	20	v.	v.	PROPN
ejpam-4987	534	21	isakov	isakov	PROPN
ejpam-4987	534	22	,	,	PUNCT
ejpam-4987	534	23	...	...	PUNCT
ejpam-4987	534	24	,	,	PUNCT
ejpam-4987	534	25	and	and	CCONJ
ejpam-4987	534	26	a.	a.	NOUN
ejpam-4987	534	27	lemair	lemair	PROPN
ejpam-4987	534	28	.	.	PUNCT
ejpam-4987	535	1	world	world	NOUN
ejpam-4987	535	2	gastroenterology	gastroenterology	NOUN
ejpam-4987	535	3	organisation	organisation	NOUN
ejpam-4987	535	4	global	global	PROPN
ejpam-4987	535	5	guideline	guideline	PROPN
ejpam-4987	535	6	hepatitis	hepatitis	PROPN
ejpam-4987	535	7	b	b	PROPN
ejpam-4987	535	8	:	:	PUNCT
ejpam-4987	535	9	september	september	PROPN
ejpam-4987	535	10	2015	2015	NUM
ejpam-4987	535	11	.	.	PUNCT
ejpam-4987	536	1	journal	journal	NOUN
ejpam-4987	536	2	of	of	ADP
ejpam-4987	536	3	clinical	clinical	ADJ
ejpam-4987	536	4	gastroenterology	gastroenterology	NOUN
ejpam-4987	536	5	,	,	PUNCT
ejpam-4987	536	6	50(9):691–703	50(9):691–703	PROPN
ejpam-4987	536	7	,	,	PUNCT
ejpam-4987	536	8	2016	2016	NUM
ejpam-4987	536	9	.	.	PUNCT
ejpam-4987	537	1	[	[	X
ejpam-4987	537	2	18	18	NUM
ejpam-4987	537	3	]	]	X
ejpam-4987	537	4	h.	h.	PROPN
ejpam-4987	537	5	guo	guo	PROPN
ejpam-4987	537	6	and	and	CCONJ
ejpam-4987	537	7	m.-y	m.-y	PROPN
ejpam-4987	537	8	.	.	PUNCT
ejpam-4987	538	1	li	li	PROPN
ejpam-4987	538	2	.	.	PUNCT
ejpam-4987	538	3	global	global	ADJ
ejpam-4987	538	4	dynamics	dynamic	NOUN
ejpam-4987	538	5	of	of	ADP
ejpam-4987	538	6	a	a	DET
ejpam-4987	538	7	staged	stage	VERB
ejpam-4987	538	8	-	-	PUNCT
ejpam-4987	538	9	progression	progression	NOUN
ejpam-4987	538	10	model	model	NOUN
ejpam-4987	538	11	with	with	ADP
ejpam-4987	538	12	amelioration	amelioration	NOUN
ejpam-4987	538	13	for	for	ADP
ejpam-4987	538	14	infectious	infectious	ADJ
ejpam-4987	538	15	diseases	disease	NOUN
ejpam-4987	538	16	.	.	PUNCT
ejpam-4987	539	1	journal	journal	NOUN
ejpam-4987	539	2	of	of	ADP
ejpam-4987	539	3	biological	biological	ADJ
ejpam-4987	539	4	dynamics	dynamic	NOUN
ejpam-4987	539	5	,	,	PUNCT
ejpam-4987	539	6	2(2):154–168	2(2):154–168	NOUN
ejpam-4987	539	7	,	,	PUNCT
ejpam-4987	539	8	2008	2008	NUM
ejpam-4987	539	9	.	.	PUNCT
ejpam-4987	540	1	[	[	X
ejpam-4987	540	2	19	19	NUM
ejpam-4987	540	3	]	]	X
ejpam-4987	540	4	lancet	lancet	NOUN
ejpam-4987	540	5	gastroenterol	gastroenterol	NOUN
ejpam-4987	540	6	hepatol	hepatol	ADV
ejpam-4987	540	7	.	.	PUNCT
ejpam-4987	541	1	global	global	ADJ
ejpam-4987	541	2	,	,	PUNCT
ejpam-4987	541	3	regional	regional	ADJ
ejpam-4987	541	4	,	,	PUNCT
ejpam-4987	541	5	and	and	CCONJ
ejpam-4987	541	6	national	national	ADJ
ejpam-4987	541	7	burden	burden	NOUN
ejpam-4987	541	8	of	of	ADP
ejpam-4987	541	9	hepatitis	hepatitis	PROPN
ejpam-4987	541	10	b	b	PROPN
ejpam-4987	541	11	,	,	PUNCT
ejpam-4987	541	12	1990–2019	1990–2019	NUM
ejpam-4987	541	13	:	:	PUNCT
ejpam-4987	541	14	a	a	DET
ejpam-4987	541	15	systematic	systematic	ADJ
ejpam-4987	541	16	analysis	analysis	NOUN
ejpam-4987	541	17	for	for	ADP
ejpam-4987	541	18	the	the	DET
ejpam-4987	541	19	global	global	ADJ
ejpam-4987	541	20	burden	burden	NOUN
ejpam-4987	541	21	of	of	ADP
ejpam-4987	541	22	disease	disease	NOUN
ejpam-4987	541	23	study	study	NOUN
ejpam-4987	541	24	2019	2019	NUM
ejpam-4987	541	25	.	.	PUNCT
ejpam-4987	542	1	https://doi.org/10.1016/s2468-1253(22)00124-8	https://doi.org/10.1016/s2468-1253(22)00124-8	PROPN
ejpam-4987	542	2	,	,	PUNCT
ejpam-4987	542	3	pages	page	NOUN
ejpam-4987	542	4	796–829	796–829	NUM
ejpam-4987	542	5	,	,	PUNCT
ejpam-4987	542	6	2022	2022	NUM
ejpam-4987	542	7	.	.	PUNCT
ejpam-4987	543	1	[	[	X
ejpam-4987	543	2	20	20	NUM
ejpam-4987	543	3	]	]	X
ejpam-4987	543	4	burkina	burkina	PROPN
ejpam-4987	543	5	faso	faso	PROPN
ejpam-4987	543	6	institut	institut	PROPN
ejpam-4987	543	7	national	national	PROPN
ejpam-4987	543	8	de	de	X
ejpam-4987	543	9	statistique	statistique	X
ejpam-4987	543	10	et	et	PROPN
ejpam-4987	543	11	de	de	PROPN
ejpam-4987	543	12	démographie	démographie	PROPN
ejpam-4987	543	13	.	.	PROPN
ejpam-4987	543	14	fifth	fifth	ADJ
ejpam-4987	543	15	general	general	ADJ
ejpam-4987	543	16	census	census	NOUN
ejpam-4987	543	17	of	of	ADP
ejpam-4987	543	18	population	population	NOUN
ejpam-4987	543	19	and	and	CCONJ
ejpam-4987	543	20	housing	housing	NOUN
ejpam-4987	543	21	of	of	ADP
ejpam-4987	543	22	burkina	burkina	PROPN
ejpam-4987	543	23	faso	faso	PROPN
ejpam-4987	543	24	.	.	PUNCT
ejpam-4987	544	1	synthesis	synthesis	NOUN
ejpam-4987	544	2	of	of	ADP
ejpam-4987	544	3	final	final	ADJ
ejpam-4987	544	4	results	result	NOUN
ejpam-4987	544	5	.	.	PUNCT
ejpam-4987	545	1	https://insd.bf/	https://insd.bf/	VERB
ejpam-4987	545	2	,	,	PUNCT
ejpam-4987	545	3	2019	2019	NUM
ejpam-4987	545	4	.	.	PUNCT
ejpam-4987	546	1	references	reference	NOUN
ejpam-4987	546	2	89	89	NUM
ejpam-4987	547	1	[	[	X
ejpam-4987	547	2	21	21	NUM
ejpam-4987	547	3	]	]	PUNCT
ejpam-4987	547	4	d.-g	d.-g	PROPN
ejpam-4987	547	5	.	.	PUNCT
ejpam-4987	548	1	kendall	kendall	PROPN
ejpam-4987	548	2	.	.	PUNCT
ejpam-4987	549	1	deterministic	deterministic	ADJ
ejpam-4987	549	2	and	and	CCONJ
ejpam-4987	549	3	stochastic	stochastic	ADJ
ejpam-4987	549	4	epidemics	epidemic	NOUN
ejpam-4987	549	5	in	in	ADP
ejpam-4987	549	6	closed	closed	ADJ
ejpam-4987	549	7	populations	population	NOUN
ejpam-4987	549	8	.	.	PUNCT
ejpam-4987	550	1	in	in	ADP
ejpam-4987	550	2	proceedings	proceeding	NOUN
ejpam-4987	550	3	of	of	ADP
ejpam-4987	550	4	the	the	DET
ejpam-4987	550	5	third	third	ADJ
ejpam-4987	550	6	berkeley	berkeley	PROPN
ejpam-4987	550	7	symposium	symposium	NOUN
ejpam-4987	550	8	on	on	ADP
ejpam-4987	550	9	mathematical	mathematical	ADJ
ejpam-4987	550	10	statistics	statistic	NOUN
ejpam-4987	550	11	and	and	CCONJ
ejpam-4987	550	12	probability	probability	NOUN
ejpam-4987	550	13	,	,	PUNCT
ejpam-4987	550	14	volume	volume	NOUN
ejpam-4987	550	15	4	4	NUM
ejpam-4987	550	16	,	,	PUNCT
ejpam-4987	550	17	pages	page	NOUN
ejpam-4987	550	18	149–165	149–165	NUM
ejpam-4987	550	19	.	.	PUNCT
ejpam-4987	551	1	university	university	PROPN
ejpam-4987	551	2	of	of	ADP
ejpam-4987	551	3	california	california	PROPN
ejpam-4987	551	4	press	press	PROPN
ejpam-4987	551	5	berkeley	berkeley	PROPN
ejpam-4987	551	6	,	,	PUNCT
ejpam-4987	551	7	1956	1956	NUM
ejpam-4987	551	8	.	.	PUNCT
ejpam-4987	552	1	[	[	X
ejpam-4987	552	2	22	22	NUM
ejpam-4987	552	3	]	]	PUNCT
ejpam-4987	552	4	w.-o	w.-o	NOUN
ejpam-4987	552	5	.	.	PUNCT
ejpam-4987	553	1	kermack	kermack	NOUN
ejpam-4987	553	2	and	and	CCONJ
ejpam-4987	553	3	a.-g	a.-g	PROPN
ejpam-4987	553	4	.	.	PUNCT
ejpam-4987	554	1	mckendrick	mckendrick	PROPN
ejpam-4987	554	2	.	.	PUNCT
ejpam-4987	555	1	a	a	DET
ejpam-4987	555	2	contribution	contribution	NOUN
ejpam-4987	555	3	to	to	ADP
ejpam-4987	555	4	the	the	DET
ejpam-4987	555	5	mathematical	mathematical	ADJ
ejpam-4987	555	6	theory	theory	NOUN
ejpam-4987	555	7	of	of	ADP
ejpam-4987	555	8	epidemics	epidemic	NOUN
ejpam-4987	555	9	.	.	PUNCT
ejpam-4987	556	1	proceedings	proceeding	NOUN
ejpam-4987	556	2	of	of	ADP
ejpam-4987	556	3	the	the	DET
ejpam-4987	556	4	royal	royal	ADJ
ejpam-4987	556	5	society	society	NOUN
ejpam-4987	556	6	of	of	ADP
ejpam-4987	556	7	london	london	PROPN
ejpam-4987	556	8	.	.	PUNCT
ejpam-4987	557	1	series	series	PROPN
ejpam-4987	557	2	a	a	PROPN
ejpam-4987	557	3	,	,	PUNCT
ejpam-4987	557	4	containing	contain	VERB
ejpam-4987	557	5	papers	paper	NOUN
ejpam-4987	557	6	of	of	ADP
ejpam-4987	557	7	a	a	DET
ejpam-4987	557	8	mathematical	mathematical	ADJ
ejpam-4987	557	9	and	and	CCONJ
ejpam-4987	557	10	physical	physical	ADJ
ejpam-4987	557	11	character	character	NOUN
ejpam-4987	557	12	,	,	PUNCT
ejpam-4987	557	13	115(772):700–721	115(772):700–721	NUM
ejpam-4987	557	14	,	,	PUNCT
ejpam-4987	557	15	1927	1927	NUM
ejpam-4987	557	16	.	.	PUNCT
ejpam-4987	558	1	[	[	X
ejpam-4987	558	2	23	23	NUM
ejpam-4987	558	3	]	]	PUNCT
ejpam-4987	558	4	a.	a.	NOUN
ejpam-4987	558	5	korobeinikov	korobeinikov	PROPN
ejpam-4987	558	6	.	.	PUNCT
ejpam-4987	559	1	lyapunov	lyapunov	ADJ
ejpam-4987	559	2	functions	function	NOUN
ejpam-4987	559	3	and	and	CCONJ
ejpam-4987	559	4	global	global	ADJ
ejpam-4987	559	5	stability	stability	NOUN
ejpam-4987	559	6	for	for	ADP
ejpam-4987	559	7	sir	sir	NOUN
ejpam-4987	559	8	and	and	CCONJ
ejpam-4987	559	9	sirs	sir	NOUN
ejpam-4987	559	10	epidemiological	epidemiological	ADJ
ejpam-4987	559	11	models	model	NOUN
ejpam-4987	559	12	with	with	ADP
ejpam-4987	559	13	non	non	ADJ
ejpam-4987	559	14	-	-	ADJ
ejpam-4987	559	15	linear	linear	ADJ
ejpam-4987	559	16	transmission	transmission	NOUN
ejpam-4987	559	17	.	.	PUNCT
ejpam-4987	560	1	bull	bull	NOUN
ejpam-4987	560	2	.	.	PUNCT
ejpam-4987	561	1	math	math	NOUN
ejpam-4987	561	2	.	.	PUNCT
ejpam-4987	562	1	biol	biol	PROPN
ejpam-4987	562	2	.	.	PUNCT
ejpam-4987	562	3	,	,	PUNCT
ejpam-4987	563	1	68(3):615–626	68(3):615–626	NOUN
ejpam-4987	563	2	,	,	PUNCT
ejpam-4987	563	3	2006	2006	NUM
ejpam-4987	563	4	.	.	PUNCT
ejpam-4987	564	1	[	[	X
ejpam-4987	564	2	24	24	NUM
ejpam-4987	564	3	]	]	SYM
ejpam-4987	564	4	j.-p.-i	j.-p.-i	PROPN
ejpam-4987	564	5	.	.	PUNCT
ejpam-4987	564	6	kouenkam	kouenkam	PROPN
ejpam-4987	564	7	,	,	PUNCT
ejpam-4987	564	8	j.	j.	PROPN
ejpam-4987	564	9	mbang	mbang	PROPN
ejpam-4987	564	10	,	,	PUNCT
ejpam-4987	564	11	and	and	CCONJ
ejpam-4987	564	12	y.	y.	PROPN
ejpam-4987	564	13	emvudu	emvudu	PROPN
ejpam-4987	564	14	.	.	PUNCT
ejpam-4987	565	1	global	global	ADJ
ejpam-4987	565	2	dynamics	dynamic	NOUN
ejpam-4987	565	3	of	of	ADP
ejpam-4987	565	4	a	a	DET
ejpam-4987	565	5	model	model	NOUN
ejpam-4987	565	6	of	of	ADP
ejpam-4987	565	7	hepatitis	hepatitis	PROPN
ejpam-4987	565	8	b	b	PROPN
ejpam-4987	565	9	virus	virus	NOUN
ejpam-4987	565	10	infection	infection	NOUN
ejpam-4987	565	11	in	in	ADP
ejpam-4987	565	12	a	a	DET
ejpam-4987	565	13	sub	sub	ADJ
ejpam-4987	565	14	-	-	ADJ
ejpam-4987	565	15	saharan	saharan	ADJ
ejpam-4987	565	16	african	african	ADJ
ejpam-4987	565	17	rural	rural	ADJ
ejpam-4987	565	18	area	area	NOUN
ejpam-4987	565	19	.	.	PUNCT
ejpam-4987	566	1	international	international	ADJ
ejpam-4987	566	2	journal	journal	NOUN
ejpam-4987	566	3	of	of	ADP
ejpam-4987	566	4	biomathematics	biomathematic	NOUN
ejpam-4987	566	5	,	,	PUNCT
ejpam-4987	566	6	13(6):313–325	13(6):313–325	PROPN
ejpam-4987	566	7	,	,	PUNCT
ejpam-4987	566	8	2020	2020	NUM
ejpam-4987	566	9	.	.	PUNCT
ejpam-4987	567	1	[	[	X
ejpam-4987	567	2	25	25	NUM
ejpam-4987	567	3	]	]	X
ejpam-4987	567	4	o.	o.	PROPN
ejpam-4987	567	5	koutou	koutou	PROPN
ejpam-4987	567	6	and	and	CCONJ
ejpam-4987	567	7	b.	b.	PROPN
ejpam-4987	567	8	sangaré.	sangaré.	PROPN
ejpam-4987	567	9	mathematical	mathematical	ADJ
ejpam-4987	567	10	analysis	analysis	NOUN
ejpam-4987	567	11	of	of	ADP
ejpam-4987	567	12	the	the	DET
ejpam-4987	567	13	impact	impact	NOUN
ejpam-4987	567	14	of	of	ADP
ejpam-4987	567	15	the	the	DET
ejpam-4987	567	16	media	medium	NOUN
ejpam-4987	567	17	coverage	coverage	NOUN
ejpam-4987	567	18	in	in	ADP
ejpam-4987	567	19	mitigating	mitigate	VERB
ejpam-4987	567	20	the	the	DET
ejpam-4987	567	21	outbreak	outbreak	NOUN
ejpam-4987	567	22	of	of	ADP
ejpam-4987	567	23	covid-19	covid-19	PROPN
ejpam-4987	567	24	.	.	PUNCT
ejpam-4987	568	1	mathematics	mathematic	NOUN
ejpam-4987	568	2	and	and	CCONJ
ejpam-4987	568	3	computers	computer	NOUN
ejpam-4987	568	4	in	in	ADP
ejpam-4987	568	5	simulation	simulation	NOUN
ejpam-4987	568	6	,	,	PUNCT
ejpam-4987	568	7	205:600–618	205:600–618	NUM
ejpam-4987	568	8	,	,	PUNCT
ejpam-4987	568	9	2023	2023	NUM
ejpam-4987	568	10	.	.	PUNCT
ejpam-4987	569	1	[	[	X
ejpam-4987	569	2	26	26	NUM
ejpam-4987	569	3	]	]	PUNCT
ejpam-4987	569	4	j.-p	j.-p	PROPN
ejpam-4987	569	5	.	.	PUNCT
ejpam-4987	570	1	la	la	PROPN
ejpam-4987	570	2	salle	salle	PROPN
ejpam-4987	570	3	.	.	PUNCT
ejpam-4987	571	1	the	the	DET
ejpam-4987	571	2	stability	stability	NOUN
ejpam-4987	571	3	of	of	ADP
ejpam-4987	571	4	dynamical	dynamical	ADJ
ejpam-4987	571	5	systems	system	NOUN
ejpam-4987	571	6	.	.	PUNCT
ejpam-4987	572	1	siam	siam	PROPN
ejpam-4987	572	2	,	,	PUNCT
ejpam-4987	572	3	philadelphia	philadelphia	PROPN
ejpam-4987	572	4	,	,	PUNCT
ejpam-4987	572	5	1976	1976	NUM
ejpam-4987	572	6	.	.	PUNCT
ejpam-4987	573	1	[	[	X
ejpam-4987	573	2	27	27	NUM
ejpam-4987	573	3	]	]	X
ejpam-4987	573	4	v.	v.	CCONJ
ejpam-4987	573	5	lakshmikantham	lakshmikantham	PROPN
ejpam-4987	573	6	,	,	PUNCT
ejpam-4987	573	7	s.	s.	PROPN
ejpam-4987	573	8	leela	leela	PROPN
ejpam-4987	573	9	,	,	PUNCT
ejpam-4987	573	10	and	and	CCONJ
ejpam-4987	573	11	a.-a	a.-a	NOUN
ejpam-4987	573	12	.	.	PUNCT
ejpam-4987	574	1	martynyuk	martynyuk	PROPN
ejpam-4987	574	2	.	.	PUNCT
ejpam-4987	575	1	stability	stability	NOUN
ejpam-4987	575	2	analysis	analysis	NOUN
ejpam-4987	575	3	of	of	ADP
ejpam-4987	575	4	nonlinear	nonlinear	ADJ
ejpam-4987	575	5	systems	system	NOUN
ejpam-4987	575	6	.	.	PUNCT
ejpam-4987	576	1	marcel	marcel	PROPN
ejpam-4987	576	2	dekker	dekker	PROPN
ejpam-4987	576	3	,	,	PUNCT
ejpam-4987	576	4	new	new	PROPN
ejpam-4987	576	5	york	york	PROPN
ejpam-4987	576	6	,	,	PUNCT
ejpam-4987	576	7	1989	1989	NUM
ejpam-4987	576	8	.	.	PUNCT
ejpam-4987	577	1	[	[	X
ejpam-4987	577	2	28	28	NUM
ejpam-4987	577	3	]	]	X
ejpam-4987	577	4	m.	m.	NOUN
ejpam-4987	577	5	magane	magane	NOUN
ejpam-4987	577	6	.	.	PUNCT
ejpam-4987	578	1	incidental	incidental	ADJ
ejpam-4987	578	2	discovery	discovery	NOUN
ejpam-4987	578	3	of	of	ADP
ejpam-4987	578	4	hbs	hbs	PROPN
ejpam-4987	578	5	antigen	antigen	PROPN
ejpam-4987	578	6	at	at	ADP
ejpam-4987	578	7	the	the	DET
ejpam-4987	578	8	y.o	y.o	PROPN
ejpam-4987	578	9	.	.	PROPN
ejpam-4987	578	10	university	university	NOUN
ejpam-4987	578	11	hospital	hospital	NOUN
ejpam-4987	578	12	:	:	PUNCT
ejpam-4987	578	13	sociodemographic	sociodemographic	ADJ
ejpam-4987	578	14	,	,	PUNCT
ejpam-4987	578	15	clinical	clinical	ADJ
ejpam-4987	578	16	and	and	CCONJ
ejpam-4987	578	17	paraclinical	paraclinical	ADJ
ejpam-4987	578	18	aspects	aspect	NOUN
ejpam-4987	578	19	,	,	PUNCT
ejpam-4987	578	20	2018	2018	NUM
ejpam-4987	578	21	.	.	PUNCT
ejpam-4987	579	1	[	[	X
ejpam-4987	579	2	29	29	NUM
ejpam-4987	579	3	]	]	PUNCT
ejpam-4987	579	4	j.	j.	PROPN
ejpam-4987	579	5	martinet	martinet	PROPN
ejpam-4987	579	6	.	.	PUNCT
ejpam-4987	580	1	cellules	cellules	PROPN
ejpam-4987	580	2	dendritiques	dendritiques	PROPN
ejpam-4987	580	3	plasmocytöıdes	plasmocytöıdes	X
ejpam-4987	580	4	et	et	NOUN
ejpam-4987	580	5	infection	infection	NOUN
ejpam-4987	580	6	par	par	PROPN
ejpam-4987	580	7	le	le	X
ejpam-4987	580	8	virus	virus	PROPN
ejpam-4987	580	9	de	de	PROPN
ejpam-4987	580	10	l’hépatite	l’hépatite	PROPN
ejpam-4987	580	11	b	b	PROPN
ejpam-4987	580	12	,	,	PUNCT
ejpam-4987	580	13	rôle	rôle	ADJ
ejpam-4987	580	14	physiopathologique	physiopathologique	ADJ
ejpam-4987	580	15	et	et	PROPN
ejpam-4987	580	16	potentiel	potentiel	PROPN
ejpam-4987	580	17	vaccinal	vaccinal	PROPN
ejpam-4987	580	18	,	,	PUNCT
ejpam-4987	580	19	2012	2012	NUM
ejpam-4987	580	20	.	.	PUNCT
ejpam-4987	581	1	[	[	X
ejpam-4987	581	2	30	30	NUM
ejpam-4987	581	3	]	]	X
ejpam-4987	581	4	c.-c	c.-c	PROPN
ejpam-4987	581	5	.	.	PUNCT
ejpam-4987	582	1	mccluskey	mccluskey	PROPN
ejpam-4987	582	2	.	.	PUNCT
ejpam-4987	583	1	global	global	ADJ
ejpam-4987	583	2	stability	stability	NOUN
ejpam-4987	583	3	of	of	ADP
ejpam-4987	583	4	an	an	DET
ejpam-4987	583	5	sir	sir	NOUN
ejpam-4987	583	6	epidemic	epidemic	NOUN
ejpam-4987	583	7	model	model	NOUN
ejpam-4987	583	8	with	with	ADP
ejpam-4987	583	9	delay	delay	NOUN
ejpam-4987	583	10	and	and	CCONJ
ejpam-4987	583	11	general	general	ADJ
ejpam-4987	583	12	nonlinear	nonlinear	ADJ
ejpam-4987	583	13	incidence	incidence	NOUN
ejpam-4987	583	14	.	.	PUNCT
ejpam-4987	584	1	math	math	NOUN
ejpam-4987	584	2	.	.	PUNCT
ejpam-4987	585	1	biosci	biosci	PROPN
ejpam-4987	585	2	.	.	PUNCT
ejpam-4987	586	1	eng.l	eng.l	PROPN
ejpam-4987	586	2	,	,	PUNCT
ejpam-4987	586	3	7(4):837–850	7(4):837–850	PROPN
ejpam-4987	586	4	,	,	PUNCT
ejpam-4987	586	5	2010	2010	NUM
ejpam-4987	586	6	.	.	PUNCT
ejpam-4987	587	1	[	[	X
ejpam-4987	587	2	31	31	NUM
ejpam-4987	587	3	]	]	X
ejpam-4987	587	4	n.	n.	NOUN
ejpam-4987	587	5	meda	meda	PROPN
ejpam-4987	587	6	,	,	PUNCT
ejpam-4987	587	7	e.	e.	PROPN
ejpam-4987	587	8	tuaillon	tuaillon	PROPN
ejpam-4987	587	9	,	,	PUNCT
ejpam-4987	587	10	d.	d.	PROPN
ejpam-4987	587	11	kania	kania	PROPN
ejpam-4987	587	12	,	,	PUNCT
ejpam-4987	587	13	a.	a.	NOUN
ejpam-4987	587	14	tiendrebeogo	tiendrebeogo	PROPN
ejpam-4987	587	15	,	,	PUNCT
ejpam-4987	587	16	a.	a.	NOUN
ejpam-4987	587	17	pisoni	pisoni	PROPN
ejpam-4987	587	18	,	,	PUNCT
ejpam-4987	587	19	s.	s.	PROPN
ejpam-4987	587	20	zida	zida	PROPN
ejpam-4987	587	21	,	,	PUNCT
ejpam-4987	587	22	...	...	PUNCT
ejpam-4987	587	23	,	,	PUNCT
ejpam-4987	587	24	and	and	CCONJ
ejpam-4987	587	25	p.	p.	NOUN
ejpam-4987	587	26	dujols	dujol	NOUN
ejpam-4987	587	27	.	.	PUNCT
ejpam-4987	588	1	hepatitis	hepatitis	PROPN
ejpam-4987	588	2	b	b	PROPN
ejpam-4987	588	3	and	and	CCONJ
ejpam-4987	588	4	c	c	PROPN
ejpam-4987	588	5	virus	virus	NOUN
ejpam-4987	588	6	seroprevalence	seroprevalence	NOUN
ejpam-4987	588	7	,	,	PUNCT
ejpam-4987	588	8	burkina	burkina	PROPN
ejpam-4987	588	9	faso	faso	PROPN
ejpam-4987	588	10	:	:	PUNCT
ejpam-4987	588	11	a	a	DET
ejpam-4987	588	12	cross	cross	ADJ
ejpam-4987	588	13	-	-	ADJ
ejpam-4987	588	14	sectional	sectional	ADJ
ejpam-4987	588	15	study	study	NOUN
ejpam-4987	588	16	.	.	PUNCT
ejpam-4987	589	1	bulletin	bulletin	NOUN
ejpam-4987	589	2	of	of	ADP
ejpam-4987	589	3	the	the	DET
ejpam-4987	589	4	world	world	PROPN
ejpam-4987	589	5	health	health	PROPN
ejpam-4987	589	6	organization	organization	NOUN
ejpam-4987	589	7	,	,	PUNCT
ejpam-4987	589	8	96(11):750	96(11):750	NUM
ejpam-4987	589	9	,	,	PUNCT
ejpam-4987	589	10	2018	2018	NUM
ejpam-4987	589	11	.	.	PUNCT
ejpam-4987	590	1	[	[	X
ejpam-4987	590	2	32	32	NUM
ejpam-4987	590	3	]	]	SYM
ejpam-4987	590	4	ministry	ministry	PROPN
ejpam-4987	590	5	of	of	ADP
ejpam-4987	590	6	health	health	PROPN
ejpam-4987	590	7	.	.	PUNCT
ejpam-4987	591	1	burkina	burkina	NOUN
ejpam-4987	591	2	:	:	PUNCT
ejpam-4987	591	3	hepatitis	hepatitis	PROPN
ejpam-4987	591	4	b	b	PROPN
ejpam-4987	591	5	,	,	PUNCT
ejpam-4987	591	6	cirrhosis	cirrhosis	NOUN
ejpam-4987	591	7	and	and	CCONJ
ejpam-4987	591	8	primary	primary	ADJ
ejpam-4987	591	9	liver	liver	NOUN
ejpam-4987	591	10	cancer	cancer	NOUN
ejpam-4987	591	11	kill	kill	VERB
ejpam-4987	591	12	nearly	nearly	ADV
ejpam-4987	591	13	5,000	5,000	NUM
ejpam-4987	591	14	people	people	NOUN
ejpam-4987	591	15	a	a	DET
ejpam-4987	591	16	year	year	NOUN
ejpam-4987	591	17	by	by	ADP
ejpam-4987	591	18	editorial	editorial	ADJ
ejpam-4987	591	19	board	board	NOUN
ejpam-4987	591	20	.	.	PUNCT
ejpam-4987	592	1	https://fasozine.com	https://fasozine.com	X
ejpam-4987	592	2	,	,	PUNCT
ejpam-4987	592	3	2017	2017	NUM
ejpam-4987	592	4	.	.	PUNCT
ejpam-4987	593	1	[	[	X
ejpam-4987	593	2	33	33	NUM
ejpam-4987	593	3	]	]	X
ejpam-4987	593	4	ministry	ministry	PROPN
ejpam-4987	593	5	of	of	ADP
ejpam-4987	593	6	health	health	PROPN
ejpam-4987	593	7	.	.	PUNCT
ejpam-4987	594	1	normes	norme	NOUN
ejpam-4987	594	2	et	et	PROPN
ejpam-4987	594	3	protocoles	protocoles	PROPN
ejpam-4987	594	4	de	de	PROPN
ejpam-4987	594	5	prise	prise	PROPN
ejpam-4987	594	6	en	en	PROPN
ejpam-4987	594	7	charge	charge	PROPN
ejpam-4987	594	8	des	des	PROPN
ejpam-4987	594	9	hepatites	hepatites	PROPN
ejpam-4987	594	10	virales	virale	NOUN
ejpam-4987	594	11	au	au	PROPN
ejpam-4987	594	12	burkina	burkina	PROPN
ejpam-4987	594	13	faso	faso	PROPN
ejpam-4987	594	14	.	.	PUNCT
ejpam-4987	595	1	2019	2019	NUM
ejpam-4987	595	2	.	.	PUNCT
ejpam-4987	596	1	[	[	X
ejpam-4987	596	2	34	34	NUM
ejpam-4987	596	3	]	]	X
ejpam-4987	596	4	j.-j	j.-j	PROPN
ejpam-4987	596	5	.	.	PUNCT
ejpam-4987	596	6	ott	ott	PROPN
ejpam-4987	596	7	,	,	PUNCT
ejpam-4987	596	8	g.-a	g.-a	PROPN
ejpam-4987	596	9	.	.	PUNCT
ejpam-4987	596	10	stevens	stevens	PROPN
ejpam-4987	596	11	,	,	PUNCT
ejpam-4987	596	12	j.	j.	PROPN
ejpam-4987	596	13	groeger	groeger	PROPN
ejpam-4987	596	14	,	,	PUNCT
ejpam-4987	596	15	and	and	CCONJ
ejpam-4987	596	16	s.-t	s.-t	NOUN
ejpam-4987	596	17	.	.	PUNCT
ejpam-4987	597	1	wiersma	wiersma	PROPN
ejpam-4987	597	2	.	.	PUNCT
ejpam-4987	598	1	global	global	ADJ
ejpam-4987	598	2	epidemiology	epidemiology	NOUN
ejpam-4987	598	3	of	of	ADP
ejpam-4987	598	4	hepatitis	hepatitis	PROPN
ejpam-4987	598	5	b	b	PROPN
ejpam-4987	598	6	virus	virus	NOUN
ejpam-4987	598	7	infection	infection	NOUN
ejpam-4987	598	8	:	:	PUNCT
ejpam-4987	598	9	new	new	ADJ
ejpam-4987	598	10	estimates	estimate	NOUN
ejpam-4987	598	11	of	of	ADP
ejpam-4987	598	12	age	age	NOUN
ejpam-4987	598	13	-	-	PUNCT
ejpam-4987	598	14	specific	specific	ADJ
ejpam-4987	598	15	hbsag	hbsag	ADJ
ejpam-4987	598	16	seroprevalence	seroprevalence	NOUN
ejpam-4987	598	17	and	and	CCONJ
ejpam-4987	598	18	endemicity	endemicity	NOUN
ejpam-4987	598	19	.	.	PUNCT
ejpam-4987	599	1	vaccine	vaccine	NOUN
ejpam-4987	599	2	,	,	PUNCT
ejpam-4987	599	3	30(12):2212–2219	30(12):2212–2219	PROPN
ejpam-4987	599	4	,	,	PUNCT
ejpam-4987	599	5	2012	2012	NUM
ejpam-4987	599	6	.	.	PUNCT
ejpam-4987	600	1	references	reference	NOUN
ejpam-4987	600	2	90	90	NUM
ejpam-4987	600	3	[	[	SYM
ejpam-4987	600	4	35	35	NUM
ejpam-4987	600	5	]	]	X
ejpam-4987	600	6	stanislas	stanislas	PROPN
ejpam-4987	600	7	pol	pol	PROPN
ejpam-4987	600	8	.	.	PUNCT
ejpam-4987	601	1	natural	natural	ADJ
ejpam-4987	601	2	history	history	NOUN
ejpam-4987	601	3	of	of	ADP
ejpam-4987	601	4	infection	infection	NOUN
ejpam-4987	601	5	hepatitis	hepatitis	PROPN
ejpam-4987	601	6	b	b	PROPN
ejpam-4987	601	7	virus	virus	NOUN
ejpam-4987	601	8	infection	infection	NOUN
ejpam-4987	601	9	.	.	PUNCT
ejpam-4987	602	1	presse	presse	PROPN
ejpam-4987	602	2	med	med	PROPN
ejpam-4987	602	3	,	,	PUNCT
ejpam-4987	602	4	online	online	ADJ
ejpam-4987	602	5	www.masson.fr/revues/pm	www.masson.fr/revues/pm	NOUN
ejpam-4987	602	6	,	,	PUNCT
ejpam-4987	602	7	35:308–316	35:308–316	PROPN
ejpam-4987	602	8	,	,	PUNCT
ejpam-4987	602	9	2006	2006	NUM
ejpam-4987	602	10	.	.	PUNCT
ejpam-4987	603	1	[	[	X
ejpam-4987	603	2	36	36	NUM
ejpam-4987	603	3	]	]	X
ejpam-4987	603	4	r.	r.	PROPN
ejpam-4987	603	5	ross	ross	PROPN
ejpam-4987	603	6	.	.	PUNCT
ejpam-4987	604	1	an	an	DET
ejpam-4987	604	2	application	application	NOUN
ejpam-4987	604	3	of	of	ADP
ejpam-4987	604	4	the	the	DET
ejpam-4987	604	5	theory	theory	NOUN
ejpam-4987	604	6	of	of	ADP
ejpam-4987	604	7	probabilities	probability	NOUN
ejpam-4987	604	8	to	to	ADP
ejpam-4987	604	9	the	the	DET
ejpam-4987	604	10	study	study	NOUN
ejpam-4987	604	11	of	of	ADP
ejpam-4987	604	12	a	a	DET
ejpam-4987	604	13	priori	priori	X
ejpam-4987	604	14	pathometry.—part	pathometry.—part	NOUN
ejpam-4987	604	15	i.	i.	NOUN
ejpam-4987	604	16	proceedings	proceeding	NOUN
ejpam-4987	604	17	of	of	ADP
ejpam-4987	604	18	the	the	DET
ejpam-4987	604	19	royal	royal	ADJ
ejpam-4987	604	20	society	society	NOUN
ejpam-4987	604	21	of	of	ADP
ejpam-4987	604	22	london	london	PROPN
ejpam-4987	604	23	.	.	PUNCT
ejpam-4987	605	1	series	series	PROPN
ejpam-4987	605	2	a	a	PROPN
ejpam-4987	605	3	,	,	PUNCT
ejpam-4987	605	4	containing	contain	VERB
ejpam-4987	605	5	papers	paper	NOUN
ejpam-4987	605	6	of	of	ADP
ejpam-4987	605	7	a	a	DET
ejpam-4987	605	8	mathematical	mathematical	ADJ
ejpam-4987	605	9	and	and	CCONJ
ejpam-4987	605	10	physical	physical	ADJ
ejpam-4987	605	11	character	character	NOUN
ejpam-4987	605	12	,	,	PUNCT
ejpam-4987	605	13	92(638):204–230	92(638):204–230	PROPN
ejpam-4987	605	14	,	,	PUNCT
ejpam-4987	605	15	1916	1916	NUM
ejpam-4987	605	16	.	.	PUNCT
ejpam-4987	606	1	[	[	X
ejpam-4987	606	2	37	37	NUM
ejpam-4987	606	3	]	]	X
ejpam-4987	606	4	r.	r.	PROPN
ejpam-4987	606	5	ross	ross	PROPN
ejpam-4987	606	6	and	and	CCONJ
ejpam-4987	606	7	h.-p	h.-p	PROPN
ejpam-4987	606	8	.	.	PUNCT
ejpam-4987	607	1	hudson	hudson	PROPN
ejpam-4987	607	2	.	.	PUNCT
ejpam-4987	608	1	an	an	DET
ejpam-4987	608	2	application	application	NOUN
ejpam-4987	608	3	of	of	ADP
ejpam-4987	608	4	the	the	DET
ejpam-4987	608	5	theory	theory	NOUN
ejpam-4987	608	6	of	of	ADP
ejpam-4987	608	7	probabilities	probability	NOUN
ejpam-4987	608	8	to	to	ADP
ejpam-4987	608	9	the	the	DET
ejpam-4987	608	10	study	study	NOUN
ejpam-4987	608	11	of	of	ADP
ejpam-4987	608	12	a	a	DET
ejpam-4987	608	13	priori	priori	ADJ
ejpam-4987	608	14	pathometry	pathometry	NOUN
ejpam-4987	608	15	:	:	PUNCT
ejpam-4987	608	16	part	part	NOUN
ejpam-4987	608	17	iii	iii	PROPN
ejpam-4987	608	18	.	.	PUNCT
ejpam-4987	608	19	proceedings	proceeding	NOUN
ejpam-4987	608	20	of	of	ADP
ejpam-4987	608	21	the	the	DET
ejpam-4987	608	22	royal	royal	ADJ
ejpam-4987	608	23	society	society	NOUN
ejpam-4987	608	24	of	of	ADP
ejpam-4987	608	25	london	london	PROPN
ejpam-4987	608	26	.	.	PUNCT
ejpam-4987	609	1	series	series	PROPN
ejpam-4987	609	2	a	a	PROPN
ejpam-4987	609	3	,	,	PUNCT
ejpam-4987	609	4	containing	contain	VERB
ejpam-4987	609	5	papers	paper	NOUN
ejpam-4987	609	6	of	of	ADP
ejpam-4987	609	7	a	a	DET
ejpam-4987	609	8	mathematical	mathematical	ADJ
ejpam-4987	609	9	and	and	CCONJ
ejpam-4987	609	10	physical	physical	ADJ
ejpam-4987	609	11	character	character	NOUN
ejpam-4987	609	12	,	,	PUNCT
ejpam-4987	609	13	89(621):225–240	89(621):225–240	PROPN
ejpam-4987	609	14	,	,	PUNCT
ejpam-4987	609	15	1917	1917	NUM
ejpam-4987	609	16	.	.	PUNCT
ejpam-4987	610	1	[	[	X
ejpam-4987	610	2	38	38	NUM
ejpam-4987	610	3	]	]	PUNCT
ejpam-4987	610	4	r.	r.	PROPN
ejpam-4987	610	5	ross	ross	PROPN
ejpam-4987	610	6	and	and	CCONJ
ejpam-4987	610	7	h.-p	h.-p	PROPN
ejpam-4987	610	8	.	.	PUNCT
ejpam-4987	611	1	hudson	hudson	PROPN
ejpam-4987	611	2	.	.	PUNCT
ejpam-4987	612	1	an	an	DET
ejpam-4987	612	2	application	application	NOUN
ejpam-4987	612	3	of	of	ADP
ejpam-4987	612	4	the	the	DET
ejpam-4987	612	5	theory	theory	NOUN
ejpam-4987	612	6	of	of	ADP
ejpam-4987	612	7	probabilities	probability	NOUN
ejpam-4987	612	8	to	to	ADP
ejpam-4987	612	9	the	the	DET
ejpam-4987	612	10	study	study	NOUN
ejpam-4987	612	11	of	of	ADP
ejpam-4987	612	12	a	a	DET
ejpam-4987	612	13	priori	priori	ADJ
ejpam-4987	612	14	pathometry	pathometry	NOUN
ejpam-4987	612	15	:	:	PUNCT
ejpam-4987	612	16	part	part	PROPN
ejpam-4987	612	17	ii	ii	PROPN
ejpam-4987	612	18	.	.	PUNCT
ejpam-4987	613	1	proceedings	proceeding	NOUN
ejpam-4987	613	2	of	of	ADP
ejpam-4987	613	3	the	the	DET
ejpam-4987	613	4	royal	royal	ADJ
ejpam-4987	613	5	society	society	NOUN
ejpam-4987	613	6	of	of	ADP
ejpam-4987	613	7	london	london	PROPN
ejpam-4987	613	8	.	.	PUNCT
ejpam-4987	614	1	series	series	PROPN
ejpam-4987	614	2	a	a	PROPN
ejpam-4987	614	3	,	,	PUNCT
ejpam-4987	614	4	containing	contain	VERB
ejpam-4987	614	5	papers	paper	NOUN
ejpam-4987	614	6	of	of	ADP
ejpam-4987	614	7	a	a	DET
ejpam-4987	614	8	mathematical	mathematical	ADJ
ejpam-4987	614	9	and	and	CCONJ
ejpam-4987	614	10	physical	physical	ADJ
ejpam-4987	614	11	character	character	NOUN
ejpam-4987	614	12	,	,	PUNCT
ejpam-4987	614	13	93(650):212–225	93(650):212–225	PROPN
ejpam-4987	614	14	,	,	PUNCT
ejpam-4987	614	15	1917	1917	NUM
ejpam-4987	614	16	.	.	PUNCT
ejpam-4987	615	1	[	[	X
ejpam-4987	615	2	39	39	NUM
ejpam-4987	615	3	]	]	PUNCT
ejpam-4987	615	4	i.	i.	NOUN
ejpam-4987	615	5	tao	tao	PROPN
ejpam-4987	615	6	,	,	PUNCT
ejpam-4987	615	7	t.	t.	PROPN
ejpam-4987	615	8	compaoré	compaoré	PROPN
ejpam-4987	615	9	,	,	PUNCT
ejpam-4987	615	10	b.	b.	PROPN
ejpam-4987	615	11	diarra	diarra	PROPN
ejpam-4987	615	12	,	,	PUNCT
ejpam-4987	615	13	f.	f.	PROPN
ejpam-4987	615	14	djigma	djigma	PROPN
ejpam-4987	615	15	,	,	PUNCT
ejpam-4987	615	16	t.-m	t.-m	NOUN
ejpam-4987	615	17	.	.	PUNCT
ejpam-4987	616	1	zohoncon	zohoncon	PROPN
ejpam-4987	616	2	,	,	PUNCT
ejpam-4987	616	3	m.	m.	PROPN
ejpam-4987	616	4	assih	assih	PROPN
ejpam-4987	616	5	,	,	PUNCT
ejpam-4987	616	6	d.	d.	PROPN
ejpam-4987	616	7	ouermi	ouermi	PROPN
ejpam-4987	616	8	,	,	PUNCT
ejpam-4987	616	9	v.	v.	CCONJ
ejpam-4987	616	10	pietra	pietra	NOUN
ejpam-4987	616	11	,	,	PUNCT
ejpam-4987	616	12	s.-d	s.-d	PROPN
ejpam-4987	616	13	.	.	PUNCT
ejpam-4987	617	1	karou	karou	PROPN
ejpam-4987	617	2	,	,	PUNCT
ejpam-4987	617	3	and	and	CCONJ
ejpam-4987	617	4	j.	j.	PROPN
ejpam-4987	617	5	simpore	simpore	PROPN
ejpam-4987	617	6	.	.	PUNCT
ejpam-4987	617	7	seroepidemiology	seroepidemiology	NOUN
ejpam-4987	617	8	of	of	ADP
ejpam-4987	617	9	hepatitis	hepatitis	PROPN
ejpam-4987	617	10	b	b	PROPN
ejpam-4987	617	11	and	and	CCONJ
ejpam-4987	617	12	c	c	PROPN
ejpam-4987	617	13	viruses	virus	NOUN
ejpam-4987	617	14	in	in	ADP
ejpam-4987	617	15	the	the	DET
ejpam-4987	617	16	general	general	ADJ
ejpam-4987	617	17	population	population	NOUN
ejpam-4987	617	18	of	of	ADP
ejpam-4987	617	19	burkina	burkina	PROPN
ejpam-4987	617	20	faso	faso	PROPN
ejpam-4987	617	21	.	.	PUNCT
ejpam-4987	618	1	hepatitis	hepatitis	NOUN
ejpam-4987	618	2	research	research	NOUN
ejpam-4987	618	3	and	and	CCONJ
ejpam-4987	618	4	treatment	treatment	NOUN
ejpam-4987	618	5	,	,	PUNCT
ejpam-4987	618	6	2014	2014	NUM
ejpam-4987	618	7	,	,	PUNCT
ejpam-4987	618	8	2014	2014	NUM
ejpam-4987	618	9	.	.	PUNCT
ejpam-4987	619	1	[	[	X
ejpam-4987	619	2	40	40	NUM
ejpam-4987	619	3	]	]	PUNCT
ejpam-4987	619	4	p.	p.	NOUN
ejpam-4987	619	5	van	van	PROPN
ejpam-4987	619	6	den	den	PROPN
ejpam-4987	619	7	driessche	driessche	NOUN
ejpam-4987	619	8	and	and	CCONJ
ejpam-4987	619	9	j.	j.	PROPN
ejpam-4987	619	10	watmough	watmough	PROPN
ejpam-4987	619	11	.	.	PUNCT
ejpam-4987	620	1	reproduction	reproduction	NOUN
ejpam-4987	620	2	numbers	number	NOUN
ejpam-4987	620	3	and	and	CCONJ
ejpam-4987	620	4	sub	sub	ADJ
ejpam-4987	620	5	-	-	ADJ
ejpam-4987	620	6	threshold	threshold	ADJ
ejpam-4987	620	7	endemic	endemic	ADJ
ejpam-4987	620	8	equilibria	equilibrium	NOUN
ejpam-4987	620	9	for	for	ADP
ejpam-4987	620	10	compartmental	compartmental	ADJ
ejpam-4987	620	11	models	model	NOUN
ejpam-4987	620	12	of	of	ADP
ejpam-4987	620	13	disease	disease	NOUN
ejpam-4987	620	14	transmission	transmission	NOUN
ejpam-4987	620	15	.	.	PUNCT
ejpam-4987	621	1	mathematical	mathematical	ADJ
ejpam-4987	621	2	biosciences	bioscience	NOUN
ejpam-4987	621	3	,	,	PUNCT
ejpam-4987	621	4	180(1	180(1	NUM
ejpam-4987	621	5	-	-	SYM
ejpam-4987	621	6	2):29–48	2):29–48	NUM
ejpam-4987	621	7	,	,	PUNCT
ejpam-4987	621	8	2002	2002	NUM
ejpam-4987	621	9	.	.	PUNCT
ejpam-4987	622	1	[	[	X
ejpam-4987	622	2	41	41	NUM
ejpam-4987	622	3	]	]	X
ejpam-4987	622	4	i.	i.	PROPN
ejpam-4987	622	5	zada	zada	PROPN
ejpam-4987	622	6	,	,	PUNCT
ejpam-4987	622	7	m.	m.	PROPN
ejpam-4987	622	8	naeem	naeem	PROPN
ejpam-4987	622	9	jan	jan	PROPN
ejpam-4987	622	10	,	,	PUNCT
ejpam-4987	622	11	n.	n.	PROPN
ejpam-4987	622	12	ali	ali	PROPN
ejpam-4987	622	13	,	,	PUNCT
ejpam-4987	622	14	d.	d.	PROPN
ejpam-4987	622	15	alrowail	alrowail	PROPN
ejpam-4987	622	16	,	,	PUNCT
ejpam-4987	622	17	k.	k.	PROPN
ejpam-4987	622	18	sooppy	sooppy	PROPN
ejpam-4987	622	19	nisar	nisar	PROPN
ejpam-4987	622	20	,	,	PUNCT
ejpam-4987	622	21	and	and	CCONJ
ejpam-4987	622	22	g.	g.	PROPN
ejpam-4987	622	23	zaman	zaman	PROPN
ejpam-4987	622	24	.	.	PROPN
ejpam-4987	623	1	mathematical	mathematical	ADJ
ejpam-4987	623	2	analysis	analysis	NOUN
ejpam-4987	623	3	of	of	ADP
ejpam-4987	623	4	hepatitis	hepatitis	PROPN
ejpam-4987	623	5	b	b	PROPN
ejpam-4987	623	6	epidemic	epidemic	NOUN
ejpam-4987	623	7	model	model	NOUN
ejpam-4987	623	8	with	with	ADP
ejpam-4987	623	9	optimal	optimal	ADJ
ejpam-4987	623	10	control	control	NOUN
ejpam-4987	623	11	.	.	PUNCT
ejpam-4987	624	1	advances	advance	NOUN
ejpam-4987	624	2	in	in	ADP
ejpam-4987	624	3	difference	difference	NOUN
ejpam-4987	624	4	equations	equation	NOUN
ejpam-4987	624	5	,	,	PUNCT
ejpam-4987	624	6	2021(1):1–29	2021(1):1–29	NOUN
ejpam-4987	624	7	,	,	PUNCT
ejpam-4987	624	8	2021	2021	NUM
ejpam-4987	624	9	.	.	PUNCT
ejpam-4987	625	1	a.	a.	NOUN
ejpam-4987	625	2	appendix	appendix	PROPN
ejpam-4987	625	3	%	%	NOUN
ejpam-4987	625	4	hepatis.m	hepatis.m	PROPN
ejpam-4987	625	5	function	function	NOUN
ejpam-4987	625	6	dtdy	dtdy	NOUN
ejpam-4987	625	7	=	=	SYM
ejpam-4987	625	8	hepatis(~,u	hepatis(~,u	X
ejpam-4987	625	9	)	)	PUNCT
ejpam-4987	625	10	global	global	ADJ
ejpam-4987	625	11	n	n	ADP
ejpam-4987	625	12	l	l	NOUN
ejpam-4987	625	13	l1	l1	PROPN
ejpam-4987	625	14	l2	l2	PROPN
ejpam-4987	625	15	r	r	NOUN
ejpam-4987	625	16	mu	mu	NOUN
ejpam-4987	625	17	mu1	mu1	VERB
ejpam-4987	625	18	mu2	mu2	PROPN
ejpam-4987	625	19	a1	a1	PROPN
ejpam-4987	625	20	a2	a2	PROPN
ejpam-4987	625	21	a3	a3	NOUN
ejpam-4987	625	22	p1	p1	PROPN
ejpam-4987	625	23	p2	p2	PROPN
ejpam-4987	625	24	global	global	ADJ
ejpam-4987	625	25	b11	b11	PROPN
ejpam-4987	625	26	b12	b12	NOUN
ejpam-4987	625	27	b13	b13	NOUN
ejpam-4987	625	28	b14	b14	PROPN
ejpam-4987	625	29	b21	b21	PROPN
ejpam-4987	625	30	b22	b22	PROPN
ejpam-4987	625	31	b23	b23	PROPN
ejpam-4987	625	32	b24	b24	PROPN
ejpam-4987	625	33	b31	b31	PROPN
ejpam-4987	625	34	b32	b32	PROPN
ejpam-4987	625	35	b33	b33	PROPN
ejpam-4987	625	36	b34	b34	PROPN
ejpam-4987	625	37	global	global	PROPN
ejpam-4987	625	38	d1	d1	PROPN
ejpam-4987	625	39	d2	d2	PROPN
ejpam-4987	625	40	g2	g2	PROPN
ejpam-4987	625	41	g3	g3	PROPN
ejpam-4987	625	42	dtdy	dtdy	NOUN
ejpam-4987	625	43	=	=	PUNCT
ejpam-4987	625	44	zeros	zero	NOUN
ejpam-4987	625	45	(	(	PUNCT
ejpam-4987	625	46	8,1	8,1	NUM
ejpam-4987	625	47	)	)	PUNCT
ejpam-4987	625	48	;	;	PUNCT
ejpam-4987	626	1	ds1	ds1	PROPN
ejpam-4987	626	2	=	=	PUNCT
ejpam-4987	626	3	l	l	NOUN
ejpam-4987	626	4	-l1*u(6)-l2*u(7	-l1*u(6)-l2*u(7	NOUN
ejpam-4987	626	5	)	)	PUNCT
ejpam-4987	626	6	-(mu+p1)*u(1	-(mu+p1)*u(1	NOUN
ejpam-4987	626	7	)	)	PUNCT
ejpam-4987	626	8	-b11*u(1)*u(4	-b11*u(1)*u(4	PROPN
ejpam-4987	626	9	)	)	PUNCT
ejpam-4987	626	10	-b12*u(5)*u(1)-b13*u(6)*u(1)-b14*u(7)*u(1	-b12*u(5)*u(1)-b13*u(6)*u(1)-b14*u(7)*u(1	NOUN
ejpam-4987	626	11	)	)	PUNCT
ejpam-4987	626	12	;	;	PUNCT
ejpam-4987	626	13	ds2	ds2	PROPN
ejpam-4987	626	14	=	=	SYM
ejpam-4987	626	15	p1*u(1	p1*u(1	NOUN
ejpam-4987	626	16	)	)	PUNCT
ejpam-4987	626	17	-(mu+p2)*u(2	-(mu+p2)*u(2	NOUN
ejpam-4987	626	18	)	)	PUNCT
ejpam-4987	626	19	-b21*u(4)*u(2)b22*u(5	-b21*u(4)*u(2)b22*u(5	PROPN
ejpam-4987	626	20	)	)	PUNCT
ejpam-4987	626	21	*	*	PUNCT
ejpam-4987	626	22	u(2)-b23*u(6)*u(2	u(2)-b23*u(6)*u(2	PROPN
ejpam-4987	626	23	)	)	PUNCT
ejpam-4987	626	24	-b24*u(7)*u(2	-b24*u(7)*u(2	PROPN
ejpam-4987	626	25	)	)	PUNCT
ejpam-4987	626	26	;	;	PUNCT
ejpam-4987	626	27	ds3	ds3	PROPN
ejpam-4987	626	28	=	=	SYM
ejpam-4987	626	29	p2*u(2	p2*u(2	PROPN
ejpam-4987	626	30	)	)	PUNCT
ejpam-4987	626	31	-b31*u(4)*u(3	-b31*u(4)*u(3	PROPN
ejpam-4987	626	32	)	)	PUNCT
ejpam-4987	626	33	-b32*u(3)*u(5	-b32*u(3)*u(5	PROPN
ejpam-4987	626	34	)	)	PUNCT
ejpam-4987	626	35	-b33*u	-b33*u	NOUN
ejpam-4987	626	36	(	(	PUNCT
ejpam-4987	626	37	3)*u(6)-b34*u(3)*u(7	3)*u(6)-b34*u(3)*u(7	NUM
ejpam-4987	626	38	)	)	PUNCT
ejpam-4987	626	39	-(mu)*u(3	-(mu)*u(3	PROPN
ejpam-4987	626	40	)	)	PUNCT
ejpam-4987	626	41	;	;	PUNCT
ejpam-4987	626	42	references	reference	NOUN
ejpam-4987	626	43	91	91	NUM
ejpam-4987	626	44	dei	dei	NOUN
ejpam-4987	626	45	=	=	SYM
ejpam-4987	626	46	a1*b11*u(1)*u(4	a1*b11*u(1)*u(4	PROPN
ejpam-4987	626	47	)	)	PUNCT
ejpam-4987	626	48	+	+	NOUN
ejpam-4987	626	49	a1*b12*u(1)*u(5	a1*b12*u(1)*u(5	NOUN
ejpam-4987	626	50	)	)	PUNCT
ejpam-4987	626	51	+	+	NOUN
ejpam-4987	626	52	a1*b13*u(1	a1*b13*u(1	NOUN
ejpam-4987	626	53	)	)	PUNCT
ejpam-4987	626	54	*	*	PUNCT
ejpam-4987	626	55	u(6)+a1*b14*u(1)*u(7	u(6)+a1*b14*u(1)*u(7	PROPN
ejpam-4987	626	56	)	)	PUNCT
ejpam-4987	626	57	...	...	PUNCT
ejpam-4987	627	1	+	+	CCONJ
ejpam-4987	627	2	a2*b21*u(2)*u(4)+a2*b22*u(2)*u(5)+a2*b23*u(2)*u(6)+	a2*b21*u(2)*u(4)+a2*b22*u(2)*u(5)+a2*b23*u(2)*u(6)+	ADV
ejpam-4987	627	3	a2*b24*u(2)*u(7	a2*b24*u(2)*u(7	ADV
ejpam-4987	627	4	)	)	PUNCT
ejpam-4987	627	5	...	...	PUNCT
ejpam-4987	628	1	+	+	CCONJ
ejpam-4987	628	2	a3*b31*u(3)*u(4)+a3*b32*u(3)*u(5)+a3*b33*u(3)*u(6)+	a3*b31*u(3)*u(4)+a3*b32*u(3)*u(5)+a3*b33*u(3)*u(6)+	ADJ
ejpam-4987	628	3	a3*b34*u(3)*u(7	a3*b34*u(3)*u(7	ADV
ejpam-4987	628	4	)	)	PUNCT
ejpam-4987	628	5	-(mu+d1)*u(4	-(mu+d1)*u(4	PUNCT
ejpam-4987	628	6	)	)	PUNCT
ejpam-4987	629	1	+	+	CCONJ
ejpam-4987	629	2	r*(l1*u(6)+l2*u(7	r*(l1*u(6)+l2*u(7	NOUN
ejpam-4987	629	3	)	)	PUNCT
ejpam-4987	629	4	)	)	PUNCT
ejpam-4987	630	1	;	;	PUNCT
ejpam-4987	630	2	dec	dec	PROPN
ejpam-4987	630	3	=	=	SYM
ejpam-4987	630	4	(	(	PUNCT
ejpam-4987	630	5	1	1	NUM
ejpam-4987	630	6	-	-	PUNCT
ejpam-4987	630	7	a1)*b11*u(1)*u(4	a1)*b11*u(1)*u(4	NOUN
ejpam-4987	630	8	)	)	PUNCT
ejpam-4987	630	9	+	+	ADJ
ejpam-4987	630	10	(	(	PUNCT
ejpam-4987	630	11	1	1	NUM
ejpam-4987	630	12	-	-	PUNCT
ejpam-4987	630	13	a1)*b12*u(1)*u(5	a1)*b12*u(1)*u(5	NOUN
ejpam-4987	630	14	)	)	PUNCT
ejpam-4987	630	15	+	+	ADJ
ejpam-4987	630	16	(	(	PUNCT
ejpam-4987	630	17	1a1)*b13*u(1)*u(6)+(1	1a1)*b13*u(1)*u(6)+(1	NUM
ejpam-4987	630	18	-	-	PUNCT
ejpam-4987	630	19	a1)*b14*u(1)*u(7	a1)*b14*u(1)*u(7	NOUN
ejpam-4987	630	20	)	)	PUNCT
ejpam-4987	630	21	...	...	PUNCT
ejpam-4987	631	1	+	+	CCONJ
ejpam-4987	631	2	(	(	PUNCT
ejpam-4987	631	3	1	1	NUM
ejpam-4987	631	4	-	-	PUNCT
ejpam-4987	631	5	a2)*b21*u(2)*u(4)+(1	a2)*b21*u(2)*u(4)+(1	VERB
ejpam-4987	631	6	-	-	PUNCT
ejpam-4987	631	7	a2)*b22*u(2)*u(5)+(1	a2)*b22*u(2)*u(5)+(1	NOUN
ejpam-4987	631	8	-	-	PUNCT
ejpam-4987	631	9	a2	a2	NOUN
ejpam-4987	631	10	)	)	PUNCT
ejpam-4987	631	11	*	*	PUNCT
ejpam-4987	631	12	b23*u(2)*u(6)+(1	b23*u(2)*u(6)+(1	NUM
ejpam-4987	631	13	-	-	PUNCT
ejpam-4987	631	14	a2)*b24*u(2)*u(7	a2)*b24*u(2)*u(7	NOUN
ejpam-4987	631	15	)	)	PUNCT
ejpam-4987	631	16	...	...	PUNCT
ejpam-4987	632	1	+	+	CCONJ
ejpam-4987	632	2	(	(	PUNCT
ejpam-4987	632	3	1	1	NUM
ejpam-4987	632	4	-	-	PUNCT
ejpam-4987	632	5	a3)*b31*u(3)*u(4)+(1	a3)*b31*u(3)*u(4)+(1	ADJ
ejpam-4987	632	6	-	-	PUNCT
ejpam-4987	632	7	a3)*b32*u(3)*u(5)+(1	a3)*b32*u(3)*u(5)+(1	NUM
ejpam-4987	632	8	-	-	PUNCT
ejpam-4987	632	9	a3	a3	NOUN
ejpam-4987	632	10	)	)	PUNCT
ejpam-4987	632	11	*	*	PUNCT
ejpam-4987	632	12	b33*u(3)*u(6)+(1	b33*u(3)*u(6)+(1	NUM
ejpam-4987	632	13	-	-	PUNCT
ejpam-4987	632	14	a3)*b34*u(3)*u(7	a3)*b34*u(3)*u(7	NOUN
ejpam-4987	632	15	)	)	PUNCT
ejpam-4987	633	1	+	+	NOUN
ejpam-4987	633	2	(	(	PUNCT
ejpam-4987	633	3	1	1	NUM
ejpam-4987	633	4	-	-	PUNCT
ejpam-4987	633	5	r)*(l1*u(6	r)*(l1*u(6	NOUN
ejpam-4987	633	6	)	)	PUNCT
ejpam-4987	633	7	+	+	CCONJ
ejpam-4987	633	8	l2*u(7))(mu+d2)*u(5	l2*u(7))(mu+d2)*u(5	PROPN
ejpam-4987	633	9	)	)	PUNCT
ejpam-4987	633	10	;	;	PUNCT
ejpam-4987	633	11	di	di	X
ejpam-4987	633	12	=	=	NOUN
ejpam-4987	633	13	d1*u(4	d1*u(4	PROPN
ejpam-4987	633	14	)	)	PUNCT
ejpam-4987	633	15	(	(	PUNCT
ejpam-4987	633	16	mu+g2+mu1)*u(6	mu+g2+mu1)*u(6	PROPN
ejpam-4987	633	17	)	)	PUNCT
ejpam-4987	633	18	;	;	PUNCT
ejpam-4987	633	19	dc	dc	PROPN
ejpam-4987	633	20	=	=	SYM
ejpam-4987	633	21	d2*u(5	d2*u(5	PROPN
ejpam-4987	633	22	)	)	PUNCT
ejpam-4987	633	23	-(mu+g3+mu2)*u(7	-(mu+g3+mu2)*u(7	NOUN
ejpam-4987	633	24	)	)	PUNCT
ejpam-4987	633	25	;	;	PUNCT
ejpam-4987	634	1	dr	dr	PROPN
ejpam-4987	634	2	=	=	PROPN
ejpam-4987	634	3	g2*u(6	g2*u(6	PROPN
ejpam-4987	634	4	)	)	PUNCT
ejpam-4987	634	5	+	+	NOUN
ejpam-4987	634	6	g3*u(7)(mu)*u(8	g3*u(7)(mu)*u(8	ADJ
ejpam-4987	634	7	)	)	PUNCT
ejpam-4987	634	8	;	;	PUNCT
ejpam-4987	634	9	dtdy=[ds1;ds2;ds3;dei;dec;di;dc;dr	dtdy=[ds1;ds2;ds3;dei;dec;di;dc;dr	PROPN
ejpam-4987	634	10	]	]	PUNCT
ejpam-4987	634	11	;	;	PUNCT
ejpam-4987	634	12	%	%	NOUN
ejpam-4987	634	13	main.m	main.m	NOUN
ejpam-4987	634	14	global	global	ADJ
ejpam-4987	634	15	n	n	ADP
ejpam-4987	634	16	l	l	PROPN
ejpam-4987	634	17	l1	l1	PROPN
ejpam-4987	634	18	l2	l2	PROPN
ejpam-4987	634	19	r	r	NOUN
ejpam-4987	634	20	mu	mu	NOUN
ejpam-4987	634	21	mu1	mu1	VERB
ejpam-4987	634	22	mu2	mu2	NOUN
ejpam-4987	634	23	mu3	mu3	NOUN
ejpam-4987	634	24	a1	a1	PROPN
ejpam-4987	634	25	a2	a2	PROPN
ejpam-4987	634	26	a3	a3	NOUN
ejpam-4987	634	27	p1	p1	PROPN
ejpam-4987	634	28	p2	p2	PROPN
ejpam-4987	634	29	global	global	ADJ
ejpam-4987	634	30	b11	b11	PROPN
ejpam-4987	634	31	b12	b12	NOUN
ejpam-4987	634	32	b13	b13	NOUN
ejpam-4987	634	33	b14	b14	PROPN
ejpam-4987	634	34	b21	b21	PROPN
ejpam-4987	634	35	b22	b22	PROPN
ejpam-4987	634	36	b23	b23	PROPN
ejpam-4987	634	37	b24	b24	PROPN
ejpam-4987	634	38	b31	b31	PROPN
ejpam-4987	634	39	b32	b32	PROPN
ejpam-4987	634	40	b33	b33	PROPN
ejpam-4987	634	41	b34	b34	PROPN
ejpam-4987	634	42	global	global	PROPN
ejpam-4987	634	43	d1	d1	PROPN
ejpam-4987	634	44	d2	d2	PROPN
ejpam-4987	634	45	g2	g2	PROPN
ejpam-4987	634	46	g3	g3	PROPN
ejpam-4987	634	47	n=20818036	n=20818036	PROPN
ejpam-4987	634	48	;	;	PUNCT
ejpam-4987	634	49	l=0.0444	l=0.0444	PROPN
ejpam-4987	634	50	;	;	PUNCT
ejpam-4987	635	1	l1=	l1=	PROPN
ejpam-4987	635	2	0.091	0.091	NUM
ejpam-4987	635	3	;	;	PUNCT
ejpam-4987	635	4	l2	l2	NOUN
ejpam-4987	635	5	=	=	NOUN
ejpam-4987	635	6	0.0051	0.0051	NUM
ejpam-4987	635	7	;	;	PUNCT
ejpam-4987	635	8	r=0.1	r=0.1	NOUN
ejpam-4987	635	9	;	;	PUNCT
ejpam-4987	635	10	[	[	X
ejpam-4987	635	11	mu	mu	NOUN
ejpam-4987	635	12	,	,	PUNCT
ejpam-4987	635	13	mu1	mu1	X
ejpam-4987	635	14	,	,	PUNCT
ejpam-4987	635	15	mu2	mu2	NOUN
ejpam-4987	635	16	,	,	PUNCT
ejpam-4987	635	17	mu3]=	mu3]=	NOUN
ejpam-4987	635	18	deal	deal	NOUN
ejpam-4987	635	19	(	(	PUNCT
ejpam-4987	635	20	0.009	0.009	NUM
ejpam-4987	635	21	,	,	PUNCT
ejpam-4987	635	22	0.00461	0.00461	NUM
ejpam-4987	635	23	,	,	PUNCT
ejpam-4987	635	24	0.01	0.01	NUM
ejpam-4987	635	25	,	,	PUNCT
ejpam-4987	635	26	0.005	0.005	NUM
ejpam-4987	635	27	)	)	PUNCT
ejpam-4987	635	28	;	;	PUNCT
ejpam-4987	636	1	[	[	X
ejpam-4987	636	2	a1	a1	NOUN
ejpam-4987	636	3	,	,	PUNCT
ejpam-4987	636	4	a2	a2	PROPN
ejpam-4987	636	5	,	,	PUNCT
ejpam-4987	636	6	a3]=	a3]=	ADV
ejpam-4987	636	7	deal	deal	NOUN
ejpam-4987	636	8	(	(	PUNCT
ejpam-4987	636	9	0.1	0.1	NUM
ejpam-4987	636	10	,	,	PUNCT
ejpam-4987	636	11	0.7	0.7	NUM
ejpam-4987	636	12	,	,	PUNCT
ejpam-4987	636	13	0.95	0.95	NUM
ejpam-4987	636	14	)	)	PUNCT
ejpam-4987	636	15	;	;	PUNCT
ejpam-4987	636	16	[	[	X
ejpam-4987	636	17	p1	p1	NOUN
ejpam-4987	636	18	,	,	PUNCT
ejpam-4987	636	19	p2]=	p2]=	NUM
ejpam-4987	636	20	deal	deal	NOUN
ejpam-4987	636	21	(	(	PUNCT
ejpam-4987	636	22	0.9	0.9	NUM
ejpam-4987	636	23	,	,	PUNCT
ejpam-4987	636	24	0.9	0.9	NUM
ejpam-4987	636	25	)	)	PUNCT
ejpam-4987	636	26	;	;	PUNCT
ejpam-4987	636	27	[	[	X
ejpam-4987	636	28	b11	b11	PROPN
ejpam-4987	636	29	,	,	PUNCT
ejpam-4987	636	30	b12	b12	NOUN
ejpam-4987	636	31	,	,	PUNCT
ejpam-4987	636	32	b13	b13	NOUN
ejpam-4987	636	33	,	,	PUNCT
ejpam-4987	636	34	b14]=deal	b14]=deal	NOUN
ejpam-4987	636	35	(	(	PUNCT
ejpam-4987	636	36	0.0	0.0	NUM
ejpam-4987	636	37	,	,	PUNCT
ejpam-4987	636	38	0.0	0.0	NUM
ejpam-4987	636	39	,	,	PUNCT
ejpam-4987	636	40	0.159	0.159	NUM
ejpam-4987	636	41	,	,	PUNCT
ejpam-4987	636	42	0.159	0.159	NUM
ejpam-4987	636	43	)	)	PUNCT
ejpam-4987	636	44	;	;	PUNCT
ejpam-4987	636	45	[	[	X
ejpam-4987	636	46	b21	b21	PROPN
ejpam-4987	636	47	,	,	PUNCT
ejpam-4987	636	48	b22	b22	PROPN
ejpam-4987	636	49	,	,	PUNCT
ejpam-4987	636	50	b23	b23	PROPN
ejpam-4987	636	51	,	,	PUNCT
ejpam-4987	636	52	b24]=deal	b24]=deal	PROPN
ejpam-4987	636	53	(	(	PUNCT
ejpam-4987	636	54	0.0	0.0	NUM
ejpam-4987	636	55	,	,	PUNCT
ejpam-4987	636	56	0.0	0.0	NUM
ejpam-4987	636	57	,	,	PUNCT
ejpam-4987	636	58	0.144	0.144	NUM
ejpam-4987	636	59	,	,	PUNCT
ejpam-4987	636	60	0.144	0.144	NUM
ejpam-4987	636	61	)	)	PUNCT
ejpam-4987	636	62	;	;	PUNCT
ejpam-4987	636	63	[	[	X
ejpam-4987	636	64	b31	b31	NOUN
ejpam-4987	636	65	,	,	PUNCT
ejpam-4987	636	66	b32	b32	PROPN
ejpam-4987	636	67	,	,	PUNCT
ejpam-4987	636	68	b33	b33	NOUN
ejpam-4987	636	69	,	,	PUNCT
ejpam-4987	636	70	b34]=	b34]=	PROPN
ejpam-4987	636	71	deal	deal	NOUN
ejpam-4987	636	72	(	(	PUNCT
ejpam-4987	636	73	0.0	0.0	NUM
ejpam-4987	636	74	,	,	PUNCT
ejpam-4987	636	75	0.0	0.0	NUM
ejpam-4987	636	76	,	,	PUNCT
ejpam-4987	636	77	0.5	0.5	NUM
ejpam-4987	636	78	,	,	PUNCT
ejpam-4987	636	79	0.5	0.5	NUM
ejpam-4987	636	80	)	)	PUNCT
ejpam-4987	636	81	;	;	PUNCT
ejpam-4987	637	1	[	[	X
ejpam-4987	637	2	d1	d1	NOUN
ejpam-4987	637	3	,	,	PUNCT
ejpam-4987	637	4	d2]=deal	d2]=deal	ADJ
ejpam-4987	637	5	(	(	PUNCT
ejpam-4987	637	6	0.6	0.6	NUM
ejpam-4987	637	7	,	,	PUNCT
ejpam-4987	637	8	0.6	0.6	NUM
ejpam-4987	637	9	)	)	PUNCT
ejpam-4987	637	10	;	;	PUNCT
ejpam-4987	638	1	[	[	X
ejpam-4987	638	2	g2	g2	PROPN
ejpam-4987	638	3	,	,	PUNCT
ejpam-4987	638	4	g3	g3	PROPN
ejpam-4987	638	5	]	]	PUNCT
ejpam-4987	638	6	=	=	NOUN
ejpam-4987	638	7	deal	deal	NOUN
ejpam-4987	638	8	(	(	PUNCT
ejpam-4987	638	9	0.8	0.8	NUM
ejpam-4987	638	10	,	,	PUNCT
ejpam-4987	638	11	0.023	0.023	NUM
ejpam-4987	638	12	)	)	PUNCT
ejpam-4987	638	13	;	;	PUNCT
ejpam-4987	638	14	y0	y0	NOUN
ejpam-4987	638	15	=[	=[	NOUN
ejpam-4987	638	16	1191200	1191200	NUM
ejpam-4987	638	17	,	,	PUNCT
ejpam-4987	638	18	2384100	2384100	NUM
ejpam-4987	638	19	,	,	PUNCT
ejpam-4987	638	20	11938000	11938000	NUM
ejpam-4987	638	21	,	,	PUNCT
ejpam-4987	638	22	1551400	1551400	NUM
ejpam-4987	638	23	,	,	PUNCT
ejpam-4987	638	24	172604	172604	NUM
ejpam-4987	638	25	,	,	PUNCT
ejpam-4987	638	26	1665482	1665482	NUM
ejpam-4987	638	27	,	,	PUNCT
ejpam-4987	638	28	416354	416354	NUM
ejpam-4987	638	29	,	,	PUNCT
ejpam-4987	638	30	1498896]/n	1498896]/n	NUM
ejpam-4987	638	31	;	;	PUNCT
ejpam-4987	638	32	references	reference	VERB
ejpam-4987	638	33	92	92	NUM
ejpam-4987	638	34	m=200	m=200	NOUN
ejpam-4987	638	35	;	;	PUNCT
ejpam-4987	638	36	tspan	tspan	PROPN
ejpam-4987	638	37	=	=	NOUN
ejpam-4987	638	38	linspace	linspace	NOUN
ejpam-4987	638	39	(	(	PUNCT
ejpam-4987	638	40	0,50,m	0,50,m	NUM
ejpam-4987	638	41	)	)	PUNCT
ejpam-4987	638	42	;	;	PUNCT
ejpam-4987	639	1	[	[	X
ejpam-4987	639	2	t	t	X
ejpam-4987	639	3	,	,	PUNCT
ejpam-4987	639	4	y1]=	y1]=	NUM
ejpam-4987	639	5	ode45(@hepatis	ode45(@hepatis	NOUN
ejpam-4987	639	6	,	,	PUNCT
ejpam-4987	639	7	tspan	tspan	NOUN
ejpam-4987	639	8	,	,	PUNCT
ejpam-4987	639	9	y0	y0	PROPN
ejpam-4987	639	10	)	)	PUNCT
ejpam-4987	639	11	;	;	PUNCT
ejpam-4987	639	12	figure	figure	NOUN
ejpam-4987	639	13	(	(	PUNCT
ejpam-4987	639	14	1	1	NUM
ejpam-4987	639	15	)	)	PUNCT
ejpam-4987	639	16	plot(t	plot(t	NOUN
ejpam-4987	639	17	,	,	PUNCT
ejpam-4987	639	18	n*y1(:,1),'r',t	n*y1(:,1),'r',t	NOUN
ejpam-4987	639	19	,	,	PUNCT
ejpam-4987	639	20	n*y1(:,2),'g',t	n*y1(:,2),'g',t	PROPN
ejpam-4987	639	21	,	,	PUNCT
ejpam-4987	639	22	n*y1(:,3),'b	n*y1(:,3),'b	PROPN
ejpam-4987	639	23	'	'	NUM
ejpam-4987	639	24	,	,	PUNCT
ejpam-4987	639	25	'	'	PUNCT
ejpam-4987	639	26	linewidth	linewidth	NOUN
ejpam-4987	639	27	'	'	PUNCT
ejpam-4987	639	28	,	,	PUNCT
ejpam-4987	639	29	2.5);legend('s1','s2','s3');title('\	2.5);legend('s1','s2','s3');title('\	NUM
ejpam-4987	639	30	bf	bf	NOUN
ejpam-4987	639	31	population	population	NOUN
ejpam-4987	639	32	of	of	ADP
ejpam-4987	639	33	susceptibles	susceptible	NOUN
ejpam-4987	639	34	'	'	PUNCT
ejpam-4987	639	35	)	)	PUNCT
ejpam-4987	639	36	;	;	PUNCT
ejpam-4987	639	37	xlabel('\bf{time	xlabel('\bf{time	PROPN
ejpam-4987	640	1	[	[	X
ejpam-4987	640	2	y]}');ylabel('\bf{susceptible	y]}');ylabel('\bf{susceptible	ADJ
ejpam-4987	640	3	}	}	PUNCT
ejpam-4987	640	4	'	'	PUNCT
ejpam-4987	640	5	)	)	PUNCT
ejpam-4987	640	6	;	;	PUNCT
ejpam-4987	640	7	figure	figure	NOUN
ejpam-4987	640	8	(	(	PUNCT
ejpam-4987	640	9	2	2	NUM
ejpam-4987	640	10	)	)	PUNCT
ejpam-4987	640	11	plot(t	plot(t	NOUN
ejpam-4987	640	12	,	,	PUNCT
ejpam-4987	640	13	n*y1(:,4),'g',t	n*y1(:,4),'g',t	NOUN
ejpam-4987	640	14	,	,	PUNCT
ejpam-4987	640	15	n*y1(:,5),'r','linewidth	n*y1(:,5),'r','linewidth	ADP
ejpam-4987	640	16	'	'	NUM
ejpam-4987	640	17	,	,	PUNCT
ejpam-4987	640	18	2.5);legend('exposed	2.5);legend('exposed	ADJ
ejpam-4987	640	19	acutes	acute	NOUN
ejpam-4987	640	20	'	'	PUNCT
ejpam-4987	640	21	,	,	PUNCT
ejpam-4987	640	22	'	'	PUNCT
ejpam-4987	640	23	exposed	expose	VERB
ejpam-4987	640	24	chronicles	chronicle	NOUN
ejpam-4987	640	25	'	'	PART
ejpam-4987	640	26	)	)	PUNCT
ejpam-4987	640	27	;	;	PUNCT
ejpam-4987	640	28	title('\bf	title('\bf	NUM
ejpam-4987	640	29	population	population	NOUN
ejpam-4987	640	30	of	of	ADP
ejpam-4987	640	31	exposed	expose	VERB
ejpam-4987	640	32	'	'	NOUN
ejpam-4987	640	33	)	)	PUNCT
ejpam-4987	640	34	;	;	PUNCT
ejpam-4987	640	35	xlabel('\bf	xlabel('\bf	PROPN
ejpam-4987	640	36	{	{	PUNCT
ejpam-4987	640	37	time[y]}');ylabel('\bf{population	time[y]}');ylabel('\bf{population	NOUN
ejpam-4987	640	38	of	of	ADP
ejpam-4987	640	39	exposed	expose	VERB
ejpam-4987	640	40	}	}	PUNCT
ejpam-4987	640	41	'	'	PUNCT
ejpam-4987	640	42	)	)	PUNCT
ejpam-4987	640	43	;	;	PUNCT
ejpam-4987	640	44	figure	figure	NOUN
ejpam-4987	640	45	(	(	PUNCT
ejpam-4987	640	46	3	3	NUM
ejpam-4987	640	47	)	)	PUNCT
ejpam-4987	640	48	plot(t	plot(t	NOUN
ejpam-4987	640	49	,	,	PUNCT
ejpam-4987	640	50	n*y1(:,6),'g',t	n*y1(:,6),'g',t	ADV
ejpam-4987	640	51	,	,	PUNCT
ejpam-4987	640	52	n*y1(:,7),'r','linewidth	n*y1(:,7),'r','linewidth	ADJ
ejpam-4987	640	53	'	'	PUNCT
ejpam-4987	640	54	,	,	PUNCT
ejpam-4987	640	55	2.5);legend('acutes	2.5);legend('acutes	PROPN
ejpam-4987	640	56	'	'	NUM
ejpam-4987	640	57	,	,	PUNCT
ejpam-4987	640	58	'	'	PUNCT
ejpam-4987	640	59	chronicles	chronicle	NOUN
ejpam-4987	640	60	'	'	PUNCT
ejpam-4987	640	61	)	)	PUNCT
ejpam-4987	640	62	;	;	PUNCT
ejpam-4987	640	63	title('\bf	title('\bf	NUM
ejpam-4987	640	64	population	population	NOUN
ejpam-4987	640	65	of	of	ADP
ejpam-4987	640	66	acutes	acute	NOUN
ejpam-4987	640	67	and	and	CCONJ
ejpam-4987	640	68	chronicles	chronicle	NOUN
ejpam-4987	640	69	'	'	PUNCT
ejpam-4987	640	70	)	)	PUNCT
ejpam-4987	640	71	;	;	PUNCT
ejpam-4987	640	72	xlabel('\bf	xlabel('\bf	PROPN
ejpam-4987	640	73	{	{	PUNCT
ejpam-4987	640	74	time[y]}');ylabel('\bf{population	time[y]}');ylabel('\bf{population	NOUN
ejpam-4987	640	75	of	of	ADP
ejpam-4987	640	76	acutes	acute	NOUN
ejpam-4987	640	77	and	and	CCONJ
ejpam-4987	640	78	chronicles	chronicle	NOUN
ejpam-4987	640	79	}	}	PUNCT
ejpam-4987	640	80	'	'	PUNCT
ejpam-4987	640	81	)	)	PUNCT
ejpam-4987	640	82	;	;	PUNCT
ejpam-4987	640	83	figure	figure	NOUN
ejpam-4987	640	84	(	(	PUNCT
ejpam-4987	640	85	4	4	NUM
ejpam-4987	640	86	)	)	PUNCT
ejpam-4987	640	87	plot(t	plot(t	NOUN
ejpam-4987	640	88	,	,	PUNCT
ejpam-4987	640	89	n*y1(:,8),'linewidth	n*y1(:,8),'linewidth	NUM
ejpam-4987	640	90	'	'	PUNCT
ejpam-4987	640	91	,	,	PUNCT
ejpam-4987	640	92	2.5);legend('recovered	2.5);legend('recovered	NUM
ejpam-4987	640	93	'	'	PUNCT
ejpam-4987	640	94	)	)	PUNCT
ejpam-4987	640	95	;	;	PUNCT
ejpam-4987	640	96	title('\bf	title('\bf	NUM
ejpam-4987	640	97	population	population	NOUN
ejpam-4987	640	98	of	of	ADP
ejpam-4987	640	99	recovered	recovered	ADJ
ejpam-4987	640	100	'	'	NUM
ejpam-4987	640	101	)	)	PUNCT
ejpam-4987	640	102	;	;	PUNCT
ejpam-4987	640	103	xlabel('\bf	xlabel('\bf	PROPN
ejpam-4987	640	104	{	{	PUNCT
ejpam-4987	640	105	time[y]}');ylabel('\bf{recovered	time[y]}');ylabel('\bf{recovere	VERB
ejpam-4987	640	106	}	}	PUNCT
ejpam-4987	640	107	'	'	NUM
ejpam-4987	640	108	)	)	PUNCT
ejpam-4987	640	109	;	;	PUNCT