id	sid	tid	token	lemma	pos
ejpam-4312	1	1	european	european	PROPN
ejpam-4312	1	2	journal	journal	PROPN
ejpam-4312	1	3	of	of	ADP
ejpam-4312	1	4	pure	pure	ADJ
ejpam-4312	1	5	and	and	CCONJ
ejpam-4312	1	6	applied	apply	VERB
ejpam-4312	1	7	mathematics	mathematic	NOUN
ejpam-4312	1	8	vol	vol	NOUN
ejpam-4312	1	9	.	.	PROPN
ejpam-4312	2	1	15	15	NUM
ejpam-4312	2	2	,	,	PUNCT
ejpam-4312	2	3	no	no	INTJ
ejpam-4312	2	4	.	.	NOUN
ejpam-4312	2	5	2	2	NUM
ejpam-4312	2	6	,	,	PUNCT
ejpam-4312	2	7	2022	2022	NUM
ejpam-4312	2	8	,	,	PUNCT
ejpam-4312	2	9	537	537	NUM
ejpam-4312	2	10	-	-	SYM
ejpam-4312	2	11	556	556	NUM
ejpam-4312	2	12	issn	issn	PROPN
ejpam-4312	2	13	1307	1307	NUM
ejpam-4312	2	14	-	-	SYM
ejpam-4312	2	15	5543	5543	NUM
ejpam-4312	2	16	–	–	PUNCT
ejpam-4312	2	17	ejpam.com	ejpam.com	X
ejpam-4312	2	18	published	publish	VERB
ejpam-4312	2	19	by	by	ADP
ejpam-4312	2	20	new	new	PROPN
ejpam-4312	2	21	york	york	PROPN
ejpam-4312	2	22	business	business	PROPN
ejpam-4312	2	23	global	global	ADJ
ejpam-4312	2	24	bifurcation	bifurcation	NOUN
ejpam-4312	2	25	analysis	analysis	NOUN
ejpam-4312	2	26	of	of	ADP
ejpam-4312	2	27	a	a	DET
ejpam-4312	2	28	mathematical	mathematical	ADJ
ejpam-4312	2	29	model	model	NOUN
ejpam-4312	2	30	for	for	ADP
ejpam-4312	2	31	the	the	DET
ejpam-4312	2	32	covid-19	covid-19	PROPN
ejpam-4312	2	33	infection	infection	NOUN
ejpam-4312	2	34	among	among	ADP
ejpam-4312	2	35	pregnant	pregnant	ADJ
ejpam-4312	2	36	and	and	CCONJ
ejpam-4312	2	37	non	non	ADJ
ejpam-4312	2	38	-	-	ADJ
ejpam-4312	2	39	pregnant	pregnant	ADJ
ejpam-4312	2	40	women	woman	NOUN
ejpam-4312	2	41	jonathan	jonathan	PROPN
ejpam-4312	2	42	tsetimi1,∗	tsetimi1,∗	PROPN
ejpam-4312	2	43	,	,	PUNCT
ejpam-4312	2	44	marcus	marcus	PROPN
ejpam-4312	2	45	ifeanyi	ifeanyi	PROPN
ejpam-4312	2	46	ossaiugbo1	ossaiugbo1	PROPN
ejpam-4312	2	47	,	,	PUNCT
ejpam-4312	2	48	augustine	augustine	PROPN
ejpam-4312	2	49	atonuje1	atonuje1	PROPN
ejpam-4312	2	50	1	1	NUM
ejpam-4312	2	51	department	department	NOUN
ejpam-4312	2	52	of	of	ADP
ejpam-4312	2	53	mathematics	mathematic	NOUN
ejpam-4312	2	54	,	,	PUNCT
ejpam-4312	2	55	delta	delta	NOUN
ejpam-4312	2	56	state	state	PROPN
ejpam-4312	2	57	university	university	PROPN
ejpam-4312	2	58	,	,	PUNCT
ejpam-4312	2	59	abraka	abraka	PROPN
ejpam-4312	2	60	,	,	PUNCT
ejpam-4312	2	61	delta	delta	PROPN
ejpam-4312	2	62	state	state	PROPN
ejpam-4312	2	63	,	,	PUNCT
ejpam-4312	2	64	nigeria	nigeria	PROPN
ejpam-4312	2	65	abstract	abstract	ADJ
ejpam-4312	2	66	.	.	PUNCT
ejpam-4312	3	1	a	a	DET
ejpam-4312	3	2	mathematical	mathematical	ADJ
ejpam-4312	3	3	study	study	NOUN
ejpam-4312	3	4	and	and	CCONJ
ejpam-4312	3	5	analysis	analysis	NOUN
ejpam-4312	3	6	of	of	ADP
ejpam-4312	3	7	the	the	DET
ejpam-4312	3	8	covid-19	covid-19	PROPN
ejpam-4312	3	9	disease	disease	NOUN
ejpam-4312	3	10	is	be	AUX
ejpam-4312	3	11	essential	essential	ADJ
ejpam-4312	3	12	in	in	ADP
ejpam-4312	3	13	the	the	DET
ejpam-4312	3	14	control	control	NOUN
ejpam-4312	3	15	and	and	CCONJ
ejpam-4312	3	16	eradication	eradication	NOUN
ejpam-4312	3	17	of	of	ADP
ejpam-4312	3	18	the	the	DET
ejpam-4312	3	19	dreadful	dreadful	ADJ
ejpam-4312	3	20	covid-19	covid-19	PROPN
ejpam-4312	3	21	infection	infection	NOUN
ejpam-4312	3	22	.	.	PUNCT
ejpam-4312	4	1	this	this	DET
ejpam-4312	4	2	research	research	NOUN
ejpam-4312	4	3	work	work	NOUN
ejpam-4312	4	4	is	be	AUX
ejpam-4312	4	5	focused	focus	VERB
ejpam-4312	4	6	on	on	ADP
ejpam-4312	4	7	the	the	DET
ejpam-4312	4	8	covid-19	covid-19	PROPN
ejpam-4312	4	9	infection	infection	NOUN
ejpam-4312	4	10	among	among	ADP
ejpam-4312	4	11	the	the	DET
ejpam-4312	4	12	women	woman	NOUN
ejpam-4312	4	13	population	population	NOUN
ejpam-4312	4	14	.	.	PUNCT
ejpam-4312	5	1	the	the	DET
ejpam-4312	5	2	women	woman	NOUN
ejpam-4312	5	3	population	population	NOUN
ejpam-4312	5	4	was	be	AUX
ejpam-4312	5	5	divided	divide	VERB
ejpam-4312	5	6	into	into	ADP
ejpam-4312	5	7	seven	seven	NUM
ejpam-4312	5	8	compartments	compartment	NOUN
ejpam-4312	5	9	.	.	PUNCT
ejpam-4312	6	1	these	these	DET
ejpam-4312	6	2	compartments	compartment	NOUN
ejpam-4312	6	3	were	be	AUX
ejpam-4312	6	4	built	build	VERB
ejpam-4312	6	5	into	into	ADP
ejpam-4312	6	6	a	a	DET
ejpam-4312	6	7	deterministic	deterministic	ADJ
ejpam-4312	6	8	model	model	NOUN
ejpam-4312	6	9	presented	present	VERB
ejpam-4312	6	10	as	as	ADP
ejpam-4312	6	11	a	a	DET
ejpam-4312	6	12	system	system	NOUN
ejpam-4312	6	13	of	of	ADP
ejpam-4312	6	14	ordinary	ordinary	ADJ
ejpam-4312	6	15	differential	differential	ADJ
ejpam-4312	6	16	equations	equation	NOUN
ejpam-4312	6	17	.	.	PUNCT
ejpam-4312	7	1	basic	basic	ADJ
ejpam-4312	7	2	mathematical	mathematical	ADJ
ejpam-4312	7	3	analyses	analysis	NOUN
ejpam-4312	7	4	such	such	ADJ
ejpam-4312	7	5	as	as	ADP
ejpam-4312	7	6	positivity	positivity	NOUN
ejpam-4312	7	7	of	of	ADP
ejpam-4312	7	8	solution	solution	NOUN
ejpam-4312	7	9	,	,	PUNCT
ejpam-4312	7	10	the	the	DET
ejpam-4312	7	11	disease	disease	NOUN
ejpam-4312	7	12	-	-	PUNCT
ejpam-4312	7	13	free	free	ADJ
ejpam-4312	7	14	equilibrium	equilibrium	NOUN
ejpam-4312	7	15	and	and	CCONJ
ejpam-4312	7	16	the	the	DET
ejpam-4312	7	17	basic	basic	ADJ
ejpam-4312	7	18	reproduction	reproduction	NOUN
ejpam-4312	7	19	number	number	NOUN
ejpam-4312	7	20	,	,	PUNCT
ejpam-4312	7	21	were	be	AUX
ejpam-4312	7	22	performed	perform	VERB
ejpam-4312	7	23	on	on	ADP
ejpam-4312	7	24	the	the	DET
ejpam-4312	7	25	model	model	NOUN
ejpam-4312	7	26	.	.	PUNCT
ejpam-4312	8	1	the	the	DET
ejpam-4312	8	2	model	model	NOUN
ejpam-4312	8	3	assumes	assume	VERB
ejpam-4312	8	4	only	only	ADV
ejpam-4312	8	5	positive	positive	ADJ
ejpam-4312	8	6	solutions	solution	NOUN
ejpam-4312	8	7	and	and	CCONJ
ejpam-4312	8	8	the	the	DET
ejpam-4312	8	9	total	total	ADJ
ejpam-4312	8	10	population	population	NOUN
ejpam-4312	8	11	size	size	NOUN
ejpam-4312	8	12	is	be	AUX
ejpam-4312	8	13	bounded	bound	VERB
ejpam-4312	8	14	.	.	PUNCT
ejpam-4312	9	1	the	the	DET
ejpam-4312	9	2	next	next	ADJ
ejpam-4312	9	3	generation	generation	NOUN
ejpam-4312	9	4	matrix	matrix	NOUN
ejpam-4312	9	5	approach	approach	NOUN
ejpam-4312	9	6	was	be	AUX
ejpam-4312	9	7	employed	employ	VERB
ejpam-4312	9	8	in	in	ADP
ejpam-4312	9	9	generating	generate	VERB
ejpam-4312	9	10	the	the	DET
ejpam-4312	9	11	basic	basic	ADJ
ejpam-4312	9	12	reproduction	reproduction	NOUN
ejpam-4312	9	13	number	number	NOUN
ejpam-4312	9	14	r0	r0	NOUN
ejpam-4312	9	15	.	.	PUNCT
ejpam-4312	10	1	the	the	DET
ejpam-4312	10	2	sensitivity	sensitivity	NOUN
ejpam-4312	10	3	analysis	analysis	NOUN
ejpam-4312	10	4	revealed	reveal	VERB
ejpam-4312	10	5	that	that	SCONJ
ejpam-4312	10	6	among	among	ADP
ejpam-4312	10	7	the	the	DET
ejpam-4312	10	8	most	most	ADV
ejpam-4312	10	9	sensitive	sensitive	ADJ
ejpam-4312	10	10	parameters	parameter	NOUN
ejpam-4312	10	11	of	of	ADP
ejpam-4312	10	12	r0	r0	NOUN
ejpam-4312	10	13	are	be	AUX
ejpam-4312	10	14	the	the	DET
ejpam-4312	10	15	effective	effective	ADJ
ejpam-4312	10	16	contact	contact	NOUN
ejpam-4312	10	17	rate	rate	NOUN
ejpam-4312	10	18	for	for	ADP
ejpam-4312	10	19	covid-19	covid-19	PROPN
ejpam-4312	10	20	transmission	transmission	NOUN
ejpam-4312	10	21	,	,	PUNCT
ejpam-4312	10	22	the	the	DET
ejpam-4312	10	23	modification	modification	NOUN
ejpam-4312	10	24	parameter	parameter	NOUN
ejpam-4312	10	25	accounting	account	VERB
ejpam-4312	10	26	for	for	ADP
ejpam-4312	10	27	increased	increase	VERB
ejpam-4312	10	28	susceptibility	susceptibility	NOUN
ejpam-4312	10	29	to	to	ADP
ejpam-4312	10	30	covid-19	covid-19	PROPN
ejpam-4312	10	31	infection	infection	NOUN
ejpam-4312	10	32	by	by	ADP
ejpam-4312	10	33	pregnant	pregnant	ADJ
ejpam-4312	10	34	women	woman	NOUN
ejpam-4312	10	35	,	,	PUNCT
ejpam-4312	10	36	and	and	CCONJ
ejpam-4312	10	37	the	the	DET
ejpam-4312	10	38	transmission	transmission	NOUN
ejpam-4312	10	39	coefficient	coefficient	NOUN
ejpam-4312	10	40	of	of	ADP
ejpam-4312	10	41	the	the	DET
ejpam-4312	10	42	infectious	infectious	ADJ
ejpam-4312	10	43	pregnant	pregnant	ADJ
ejpam-4312	10	44	women	woman	NOUN
ejpam-4312	10	45	.	.	PUNCT
ejpam-4312	11	1	the	the	DET
ejpam-4312	11	2	bifurcation	bifurcation	NOUN
ejpam-4312	11	3	analysis	analysis	NOUN
ejpam-4312	11	4	revealed	reveal	VERB
ejpam-4312	11	5	a	a	DET
ejpam-4312	11	6	forward	forward	ADJ
ejpam-4312	11	7	bifurcation	bifurcation	NOUN
ejpam-4312	11	8	which	which	PRON
ejpam-4312	11	9	guarantees	guarantee	VERB
ejpam-4312	11	10	the	the	DET
ejpam-4312	11	11	stability	stability	NOUN
ejpam-4312	11	12	of	of	ADP
ejpam-4312	11	13	the	the	DET
ejpam-4312	11	14	disease	disease	NOUN
ejpam-4312	11	15	-	-	PUNCT
ejpam-4312	11	16	free	free	ADJ
ejpam-4312	11	17	equilibrium	equilibrium	NOUN
ejpam-4312	11	18	when	when	SCONJ
ejpam-4312	11	19	r0	r0	NOUN
ejpam-4312	11	20	is	be	AUX
ejpam-4312	11	21	lowered	lower	VERB
ejpam-4312	11	22	below	below	ADP
ejpam-4312	11	23	unity	unity	NOUN
ejpam-4312	11	24	.	.	PUNCT
ejpam-4312	12	1	numerical	numerical	ADJ
ejpam-4312	12	2	simulations	simulation	NOUN
ejpam-4312	12	3	,	,	PUNCT
ejpam-4312	12	4	using	use	VERB
ejpam-4312	12	5	mathematica	mathematica	PROPN
ejpam-4312	12	6	version	version	PROPN
ejpam-4312	12	7	12.0	12.0	NUM
ejpam-4312	12	8	package	package	NOUN
ejpam-4312	12	9	,	,	PUNCT
ejpam-4312	12	10	are	be	AUX
ejpam-4312	12	11	given	give	VERB
ejpam-4312	12	12	to	to	PART
ejpam-4312	12	13	show	show	VERB
ejpam-4312	12	14	the	the	DET
ejpam-4312	12	15	effects	effect	NOUN
ejpam-4312	12	16	of	of	ADP
ejpam-4312	12	17	the	the	DET
ejpam-4312	12	18	most	most	ADV
ejpam-4312	12	19	sensitive	sensitive	ADJ
ejpam-4312	12	20	parameters	parameter	NOUN
ejpam-4312	12	21	of	of	ADP
ejpam-4312	12	22	the	the	DET
ejpam-4312	12	23	basic	basic	ADJ
ejpam-4312	12	24	reproduction	reproduction	NOUN
ejpam-4312	12	25	number	number	NOUN
ejpam-4312	12	26	on	on	ADP
ejpam-4312	12	27	the	the	DET
ejpam-4312	12	28	number	number	NOUN
ejpam-4312	12	29	of	of	ADP
ejpam-4312	12	30	infectious	infectious	ADJ
ejpam-4312	12	31	cases	case	NOUN
ejpam-4312	12	32	of	of	ADP
ejpam-4312	12	33	covid-19	covid-19	PROPN
ejpam-4312	12	34	.	.	PROPN
ejpam-4312	12	35	2020	2020	NUM
ejpam-4312	12	36	mathematics	mathematics	PROPN
ejpam-4312	12	37	subject	subject	NOUN
ejpam-4312	12	38	classifications	classification	NOUN
ejpam-4312	12	39	:	:	PUNCT
ejpam-4312	12	40	34a34	34a34	NUM
ejpam-4312	12	41	,	,	PUNCT
ejpam-4312	12	42	37d99	37d99	NUM
ejpam-4312	12	43	,	,	PUNCT
ejpam-4312	12	44	37g99	37g99	NUM
ejpam-4312	12	45	,	,	PUNCT
ejpam-4312	12	46	03c99	03c99	NOUN
ejpam-4312	12	47	key	key	ADJ
ejpam-4312	12	48	words	word	NOUN
ejpam-4312	12	49	and	and	CCONJ
ejpam-4312	12	50	phrases	phrase	NOUN
ejpam-4312	12	51	:	:	PUNCT
ejpam-4312	12	52	covid-19	covid-19	PROPN
ejpam-4312	12	53	,	,	PUNCT
ejpam-4312	12	54	bifurcation	bifurcation	NOUN
ejpam-4312	12	55	,	,	PUNCT
ejpam-4312	12	56	sensitivity	sensitivity	NOUN
ejpam-4312	12	57	,	,	PUNCT
ejpam-4312	12	58	simulation	simulation	NOUN
ejpam-4312	12	59	,	,	PUNCT
ejpam-4312	12	60	mathematical	mathematical	ADJ
ejpam-4312	12	61	model	model	NOUN
ejpam-4312	12	62	1	1	NUM
ejpam-4312	12	63	.	.	PUNCT
ejpam-4312	13	1	introduction	introduction	NOUN
ejpam-4312	13	2	maternal	maternal	ADJ
ejpam-4312	13	3	health	health	NOUN
ejpam-4312	13	4	is	be	AUX
ejpam-4312	13	5	affected	affect	VERB
ejpam-4312	13	6	both	both	CCONJ
ejpam-4312	13	7	directly	directly	ADV
ejpam-4312	13	8	and	and	CCONJ
ejpam-4312	13	9	indirectly	indirectly	ADV
ejpam-4312	13	10	by	by	ADP
ejpam-4312	13	11	the	the	DET
ejpam-4312	13	12	covid-19	covid-19	PROPN
ejpam-4312	13	13	pandemic	pandemic	NOUN
ejpam-4312	13	14	,	,	PUNCT
ejpam-4312	13	15	and	and	CCONJ
ejpam-4312	13	16	pregnant	pregnant	ADJ
ejpam-4312	13	17	individuals	individual	NOUN
ejpam-4312	13	18	were	be	AUX
ejpam-4312	13	19	found	find	VERB
ejpam-4312	13	20	to	to	PART
ejpam-4312	13	21	be	be	AUX
ejpam-4312	13	22	at	at	ADP
ejpam-4312	13	23	a	a	DET
ejpam-4312	13	24	heightened	heightened	ADJ
ejpam-4312	13	25	risk	risk	NOUN
ejpam-4312	13	26	of	of	ADP
ejpam-4312	13	27	more	more	ADV
ejpam-4312	13	28	severe	severe	ADJ
ejpam-4312	13	29	symptoms	symptom	NOUN
ejpam-4312	13	30	than	than	ADP
ejpam-4312	13	31	people	people	NOUN
ejpam-4312	13	32	who	who	PRON
ejpam-4312	13	33	are	be	AUX
ejpam-4312	13	34	not	not	PART
ejpam-4312	13	35	pregnant	pregnant	ADJ
ejpam-4312	14	1	[	[	X
ejpam-4312	14	2	9	9	NUM
ejpam-4312	14	3	]	]	PUNCT
ejpam-4312	14	4	.	.	PUNCT
ejpam-4312	15	1	studies	study	NOUN
ejpam-4312	15	2	have	have	AUX
ejpam-4312	15	3	suggested	suggest	VERB
ejpam-4312	15	4	that	that	SCONJ
ejpam-4312	15	5	pregnant	pregnant	ADJ
ejpam-4312	15	6	women	woman	NOUN
ejpam-4312	15	7	are	be	AUX
ejpam-4312	15	8	more	more	ADV
ejpam-4312	15	9	susceptible	susceptible	ADJ
ejpam-4312	15	10	to	to	ADP
ejpam-4312	15	11	covid-19	covid-19	PROPN
ejpam-4312	15	12	compared	compare	VERB
ejpam-4312	15	13	to	to	ADP
ejpam-4312	15	14	non	non	ADJ
ejpam-4312	15	15	-	-	ADJ
ejpam-4312	15	16	pregnant	pregnant	ADJ
ejpam-4312	15	17	women	woman	NOUN
ejpam-4312	15	18	[	[	X
ejpam-4312	15	19	10	10	NUM
ejpam-4312	15	20	]	]	PUNCT
ejpam-4312	15	21	.	.	PUNCT
ejpam-4312	16	1	[	[	X
ejpam-4312	16	2	11	11	NUM
ejpam-4312	16	3	]	]	PUNCT
ejpam-4312	16	4	also	also	ADV
ejpam-4312	16	5	revealed	reveal	VERB
ejpam-4312	16	6	that	that	SCONJ
ejpam-4312	16	7	∗corresponding	∗corresponde	VERB
ejpam-4312	16	8	author	author	NOUN
ejpam-4312	16	9	.	.	PUNCT
ejpam-4312	17	1	doi	doi	NOUN
ejpam-4312	17	2	:	:	PUNCT
ejpam-4312	17	3	https://doi.org/10.29020/nybg.ejpam.v15i2.4312	https://doi.org/10.29020/nybg.ejpam.v15i2.4312	NOUN
ejpam-4312	17	4	email	email	NOUN
ejpam-4312	17	5	addresses	address	NOUN
ejpam-4312	17	6	:	:	PUNCT
ejpam-4312	17	7	jtsetimi@delsu.edu.ng	jtsetimi@delsu.edu.ng	NOUN
ejpam-4312	17	8	;	;	PUNCT
ejpam-4312	17	9	tsetimi@yahoo.com	tsetimi@yahoo.com	X
ejpam-4312	17	10	(	(	PUNCT
ejpam-4312	17	11	j.	j.	PROPN
ejpam-4312	17	12	tsetimi	tsetimi	PROPN
ejpam-4312	17	13	)	)	PUNCT
ejpam-4312	17	14	,	,	PUNCT
ejpam-4312	18	1	iossaiugbo@delsu.edu.ng	iossaiugbo@delsu.edu.ng	ADV
ejpam-4312	18	2	;	;	PUNCT
ejpam-4312	18	3	marcusossaiugbo@gmail.com	marcusossaiugbo@gmail.com	PROPN
ejpam-4312	18	4	(	(	PUNCT
ejpam-4312	18	5	m.	m.	PROPN
ejpam-4312	18	6	i.	i.	PROPN
ejpam-4312	18	7	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	18	8	)	)	PUNCT
ejpam-4312	18	9	,	,	PUNCT
ejpam-4312	18	10	atonuje@delsu.edu.ng	atonuje@delsu.edu.ng	INTJ
ejpam-4312	18	11	(	(	PUNCT
ejpam-4312	18	12	a.	a.	NOUN
ejpam-4312	18	13	atonuje	atonuje	PROPN
ejpam-4312	18	14	)	)	PUNCT
ejpam-4312	18	15	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4312	19	1	537	537	NUM
ejpam-4312	19	2	©	©	PROPN
ejpam-4312	19	3	2022	2022	NUM
ejpam-4312	19	4	ejpam	ejpam	VERB
ejpam-4312	19	5	all	all	DET
ejpam-4312	19	6	rights	right	NOUN
ejpam-4312	19	7	reserved	reserve	VERB
ejpam-4312	19	8	.	.	PUNCT
ejpam-4312	20	1	j.	j.	PROPN
ejpam-4312	20	2	tsetimi	tsetimi	PROPN
ejpam-4312	20	3	,	,	PUNCT
ejpam-4312	20	4	m.	m.	NOUN
ejpam-4312	20	5	i.	i.	PROPN
ejpam-4312	20	6	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	20	7	,	,	PUNCT
ejpam-4312	20	8	a.	a.	PROPN
ejpam-4312	20	9	atonuje	atonuje	PROPN
ejpam-4312	20	10	/	/	SYM
ejpam-4312	20	11	eur	eur	PROPN
ejpam-4312	20	12	.	.	PUNCT
ejpam-4312	21	1	j.	j.	PROPN
ejpam-4312	21	2	pure	pure	PROPN
ejpam-4312	21	3	appl	appl	PROPN
ejpam-4312	21	4	.	.	PROPN
ejpam-4312	21	5	math	math	PROPN
ejpam-4312	21	6	,	,	PUNCT
ejpam-4312	21	7	15	15	NUM
ejpam-4312	21	8	(	(	PUNCT
ejpam-4312	21	9	2	2	NUM
ejpam-4312	21	10	)	)	PUNCT
ejpam-4312	21	11	(	(	PUNCT
ejpam-4312	21	12	2022	2022	NUM
ejpam-4312	21	13	)	)	PUNCT
ejpam-4312	21	14	,	,	PUNCT
ejpam-4312	21	15	537	537	NUM
ejpam-4312	21	16	-	-	SYM
ejpam-4312	21	17	556	556	NUM
ejpam-4312	21	18	538	538	NUM
ejpam-4312	21	19	covid-19	covid-19	PROPN
ejpam-4312	21	20	may	may	AUX
ejpam-4312	21	21	predispose	predispose	VERB
ejpam-4312	21	22	pregnant	pregnant	ADJ
ejpam-4312	21	23	women	woman	NOUN
ejpam-4312	21	24	to	to	ADP
ejpam-4312	21	25	higher	high	ADJ
ejpam-4312	21	26	risks	risk	NOUN
ejpam-4312	21	27	of	of	ADP
ejpam-4312	21	28	severe	severe	ADJ
ejpam-4312	21	29	disease	disease	NOUN
ejpam-4312	21	30	and	and	CCONJ
ejpam-4312	21	31	poorer	poor	ADJ
ejpam-4312	21	32	neonatal	neonatal	ADJ
ejpam-4312	21	33	outcome	outcome	NOUN
ejpam-4312	21	34	.	.	PUNCT
ejpam-4312	22	1	they	they	PRON
ejpam-4312	22	2	also	also	ADV
ejpam-4312	22	3	highlighted	highlight	VERB
ejpam-4312	22	4	the	the	DET
ejpam-4312	22	5	importance	importance	NOUN
ejpam-4312	22	6	of	of	ADP
ejpam-4312	22	7	appropriate	appropriate	ADJ
ejpam-4312	22	8	counselling	counselling	NOUN
ejpam-4312	22	9	by	by	ADP
ejpam-4312	22	10	clinicians	clinician	NOUN
ejpam-4312	22	11	,	,	PUNCT
ejpam-4312	22	12	and	and	CCONJ
ejpam-4312	22	13	focused	focused	ADJ
ejpam-4312	22	14	clarification	clarification	NOUN
ejpam-4312	22	15	on	on	ADP
ejpam-4312	22	16	the	the	DET
ejpam-4312	22	17	effect	effect	NOUN
ejpam-4312	22	18	of	of	ADP
ejpam-4312	22	19	covid-19	covid-19	PROPN
ejpam-4312	22	20	among	among	ADP
ejpam-4312	22	21	pregnant	pregnant	ADJ
ejpam-4312	22	22	women	woman	NOUN
ejpam-4312	22	23	to	to	PART
ejpam-4312	22	24	be	be	AUX
ejpam-4312	22	25	made	make	VERB
ejpam-4312	22	26	for	for	ADP
ejpam-4312	22	27	mental	mental	ADJ
ejpam-4312	22	28	wellbeing	wellbee	VERB
ejpam-4312	22	29	and	and	CCONJ
ejpam-4312	22	30	psychological	psychological	ADJ
ejpam-4312	22	31	support	support	NOUN
ejpam-4312	22	32	of	of	ADP
ejpam-4312	22	33	pregnant	pregnant	ADJ
ejpam-4312	22	34	women	woman	NOUN
ejpam-4312	22	35	.	.	PUNCT
ejpam-4312	23	1	[	[	X
ejpam-4312	23	2	6	6	NUM
ejpam-4312	23	3	]	]	PUNCT
ejpam-4312	23	4	added	add	VERB
ejpam-4312	23	5	that	that	SCONJ
ejpam-4312	23	6	in	in	ADP
ejpam-4312	23	7	unvaccinated	unvaccinated	ADJ
ejpam-4312	23	8	pregnant	pregnant	ADJ
ejpam-4312	23	9	women	woman	NOUN
ejpam-4312	23	10	,	,	PUNCT
ejpam-4312	23	11	covid-19	covid-19	PROPN
ejpam-4312	23	12	can	can	AUX
ejpam-4312	23	13	cause	cause	VERB
ejpam-4312	23	14	deadly	deadly	ADJ
ejpam-4312	23	15	harm	harm	NOUN
ejpam-4312	23	16	to	to	ADP
ejpam-4312	23	17	babies	baby	NOUN
ejpam-4312	23	18	as	as	SCONJ
ejpam-4312	23	19	the	the	DET
ejpam-4312	23	20	disease	disease	NOUN
ejpam-4312	23	21	can	can	AUX
ejpam-4312	23	22	attack	attack	VERB
ejpam-4312	23	23	and	and	CCONJ
ejpam-4312	23	24	destroy	destroy	VERB
ejpam-4312	23	25	the	the	DET
ejpam-4312	23	26	placenta	placenta	NOUN
ejpam-4312	23	27	.	.	PUNCT
ejpam-4312	24	1	[	[	X
ejpam-4312	24	2	10	10	NUM
ejpam-4312	24	3	]	]	PUNCT
ejpam-4312	24	4	suggested	suggest	VERB
ejpam-4312	24	5	that	that	SCONJ
ejpam-4312	24	6	education	education	NOUN
ejpam-4312	24	7	of	of	ADP
ejpam-4312	24	8	pregnant	pregnant	ADJ
ejpam-4312	24	9	women	woman	NOUN
ejpam-4312	24	10	on	on	ADP
ejpam-4312	24	11	covid-19	covid-19	PROPN
ejpam-4312	24	12	preventive	preventive	ADJ
ejpam-4312	24	13	practices	practice	NOUN
ejpam-4312	24	14	should	should	AUX
ejpam-4312	24	15	be	be	AUX
ejpam-4312	24	16	intensified	intensify	VERB
ejpam-4312	24	17	at	at	ADP
ejpam-4312	24	18	health	health	NOUN
ejpam-4312	24	19	facilities	facility	NOUN
ejpam-4312	24	20	while	while	SCONJ
ejpam-4312	24	21	improving	improve	VERB
ejpam-4312	24	22	upon	upon	SCONJ
ejpam-4312	24	23	the	the	DET
ejpam-4312	24	24	water	water	NOUN
ejpam-4312	24	25	,	,	PUNCT
ejpam-4312	24	26	sanitation	sanitation	NOUN
ejpam-4312	24	27	and	and	CCONJ
ejpam-4312	24	28	hygiene	hygiene	NOUN
ejpam-4312	24	29	need	need	VERB
ejpam-4312	24	30	particularly	particularly	ADV
ejpam-4312	24	31	in	in	ADP
ejpam-4312	24	32	rural	rural	ADJ
ejpam-4312	24	33	communities	community	NOUN
ejpam-4312	24	34	.	.	PUNCT
ejpam-4312	25	1	the	the	DET
ejpam-4312	25	2	severity	severity	NOUN
ejpam-4312	25	3	of	of	ADP
ejpam-4312	25	4	the	the	DET
ejpam-4312	25	5	covid-19	covid-19	PROPN
ejpam-4312	25	6	disease	disease	NOUN
ejpam-4312	25	7	is	be	AUX
ejpam-4312	25	8	significantly	significantly	ADV
ejpam-4312	25	9	associated	associate	VERB
ejpam-4312	25	10	with	with	ADP
ejpam-4312	25	11	increased	increase	VERB
ejpam-4312	25	12	cesarean	cesarean	ADJ
ejpam-4312	25	13	delivery	delivery	NOUN
ejpam-4312	25	14	,	,	PUNCT
ejpam-4312	25	15	admission	admission	NOUN
ejpam-4312	25	16	to	to	ADP
ejpam-4312	25	17	the	the	DET
ejpam-4312	25	18	intensive	intensive	ADJ
ejpam-4312	25	19	care	care	NOUN
ejpam-4312	25	20	unit	unit	NOUN
ejpam-4312	25	21	,	,	PUNCT
ejpam-4312	25	22	and	and	CCONJ
ejpam-4312	25	23	cases	case	NOUN
ejpam-4312	25	24	of	of	ADP
ejpam-4312	25	25	maternal	maternal	ADJ
ejpam-4312	25	26	mortality	mortality	NOUN
ejpam-4312	25	27	[	[	X
ejpam-4312	25	28	18	18	NUM
ejpam-4312	25	29	]	]	PUNCT
ejpam-4312	25	30	.	.	PUNCT
ejpam-4312	26	1	mathematical	mathematical	ADJ
ejpam-4312	26	2	modeling	modeling	NOUN
ejpam-4312	26	3	of	of	ADP
ejpam-4312	26	4	infectious	infectious	ADJ
ejpam-4312	26	5	diseases	disease	NOUN
ejpam-4312	26	6	has	have	AUX
ejpam-4312	26	7	proven	prove	VERB
ejpam-4312	26	8	to	to	PART
ejpam-4312	26	9	be	be	AUX
ejpam-4312	26	10	an	an	DET
ejpam-4312	26	11	effective	effective	ADJ
ejpam-4312	26	12	tool	tool	NOUN
ejpam-4312	26	13	in	in	ADP
ejpam-4312	26	14	the	the	DET
ejpam-4312	26	15	management	management	NOUN
ejpam-4312	26	16	,	,	PUNCT
ejpam-4312	26	17	control	control	NOUN
ejpam-4312	26	18	and	and	CCONJ
ejpam-4312	26	19	eradication	eradication	NOUN
ejpam-4312	26	20	of	of	ADP
ejpam-4312	26	21	infectious	infectious	ADJ
ejpam-4312	26	22	diseases	disease	NOUN
ejpam-4312	26	23	.	.	PUNCT
ejpam-4312	27	1	a	a	DET
ejpam-4312	27	2	mathematical	mathematical	ADJ
ejpam-4312	27	3	model	model	NOUN
ejpam-4312	27	4	of	of	ADP
ejpam-4312	27	5	an	an	DET
ejpam-4312	27	6	infectious	infectious	ADJ
ejpam-4312	27	7	disease	disease	NOUN
ejpam-4312	27	8	gives	give	VERB
ejpam-4312	27	9	clear	clear	ADJ
ejpam-4312	27	10	dynamics	dynamic	NOUN
ejpam-4312	27	11	of	of	ADP
ejpam-4312	27	12	the	the	DET
ejpam-4312	27	13	disease	disease	NOUN
ejpam-4312	27	14	.	.	PUNCT
ejpam-4312	28	1	the	the	DET
ejpam-4312	28	2	relationship	relationship	NOUN
ejpam-4312	28	3	between	between	ADP
ejpam-4312	28	4	the	the	DET
ejpam-4312	28	5	variables	variable	NOUN
ejpam-4312	28	6	and	and	CCONJ
ejpam-4312	28	7	parameters	parameter	NOUN
ejpam-4312	28	8	involved	involve	VERB
ejpam-4312	28	9	in	in	ADP
ejpam-4312	28	10	the	the	DET
ejpam-4312	28	11	dynamics	dynamic	NOUN
ejpam-4312	28	12	of	of	ADP
ejpam-4312	28	13	an	an	DET
ejpam-4312	28	14	infectious	infectious	ADJ
ejpam-4312	28	15	disease	disease	NOUN
ejpam-4312	28	16	are	be	AUX
ejpam-4312	28	17	clearly	clearly	ADV
ejpam-4312	28	18	stated	state	VERB
ejpam-4312	28	19	in	in	ADP
ejpam-4312	28	20	its	its	PRON
ejpam-4312	28	21	mathematical	mathematical	ADJ
ejpam-4312	28	22	model	model	NOUN
ejpam-4312	28	23	,	,	PUNCT
ejpam-4312	28	24	and	and	CCONJ
ejpam-4312	28	25	are	be	AUX
ejpam-4312	28	26	often	often	ADV
ejpam-4312	28	27	supported	support	VERB
ejpam-4312	28	28	by	by	ADP
ejpam-4312	28	29	a	a	DET
ejpam-4312	28	30	schematic	schematic	ADJ
ejpam-4312	28	31	diagram	diagram	NOUN
ejpam-4312	28	32	.	.	PUNCT
ejpam-4312	29	1	different	different	ADJ
ejpam-4312	29	2	mathematical	mathematical	ADJ
ejpam-4312	29	3	models	model	NOUN
ejpam-4312	29	4	exist	exist	VERB
ejpam-4312	29	5	for	for	ADP
ejpam-4312	29	6	various	various	ADJ
ejpam-4312	29	7	infectious	infectious	ADJ
ejpam-4312	29	8	infectious	infectious	ADJ
ejpam-4312	29	9	diseases	disease	NOUN
ejpam-4312	29	10	and	and	CCONJ
ejpam-4312	29	11	these	these	DET
ejpam-4312	29	12	models	model	NOUN
ejpam-4312	29	13	often	often	ADV
ejpam-4312	29	14	study	study	VERB
ejpam-4312	29	15	various	various	ADJ
ejpam-4312	29	16	aspects	aspect	NOUN
ejpam-4312	29	17	of	of	ADP
ejpam-4312	29	18	the	the	DET
ejpam-4312	29	19	diseases	disease	NOUN
ejpam-4312	29	20	.	.	PUNCT
ejpam-4312	30	1	some	some	PRON
ejpam-4312	30	2	of	of	ADP
ejpam-4312	30	3	the	the	DET
ejpam-4312	30	4	models	model	NOUN
ejpam-4312	30	5	which	which	PRON
ejpam-4312	30	6	exist	exist	VERB
ejpam-4312	30	7	in	in	ADP
ejpam-4312	30	8	literature	literature	NOUN
ejpam-4312	30	9	for	for	ADP
ejpam-4312	30	10	the	the	DET
ejpam-4312	30	11	covid-19	covid-19	PROPN
ejpam-4312	30	12	infectious	infectious	ADJ
ejpam-4312	30	13	disease	disease	NOUN
ejpam-4312	30	14	include	include	VERB
ejpam-4312	30	15	[	[	X
ejpam-4312	30	16	1	1	NUM
ejpam-4312	30	17	,	,	PUNCT
ejpam-4312	30	18	4	4	NUM
ejpam-4312	30	19	,	,	PUNCT
ejpam-4312	30	20	15	15	NUM
ejpam-4312	30	21	]	]	PUNCT
ejpam-4312	30	22	.	.	PUNCT
ejpam-4312	31	1	[	[	X
ejpam-4312	31	2	4	4	X
ejpam-4312	31	3	]	]	PUNCT
ejpam-4312	31	4	estimated	estimate	VERB
ejpam-4312	31	5	the	the	DET
ejpam-4312	31	6	effective	effective	ADJ
ejpam-4312	31	7	reproduction	reproduction	NOUN
ejpam-4312	31	8	number	number	NOUN
ejpam-4312	31	9	of	of	ADP
ejpam-4312	31	10	covid-19	covid-19	PROPN
ejpam-4312	31	11	from	from	ADP
ejpam-4312	31	12	the	the	DET
ejpam-4312	31	13	next	next	ADJ
ejpam-4312	31	14	generation	generation	NOUN
ejpam-4312	31	15	in	in	ADP
ejpam-4312	31	16	the	the	DET
ejpam-4312	31	17	presence	presence	NOUN
ejpam-4312	31	18	of	of	ADP
ejpam-4312	31	19	intervention	intervention	NOUN
ejpam-4312	31	20	and	and	CCONJ
ejpam-4312	31	21	opined	opine	VERB
ejpam-4312	31	22	that	that	SCONJ
ejpam-4312	31	23	collaborated	collaborate	VERB
ejpam-4312	31	24	efforts	effort	NOUN
ejpam-4312	31	25	from	from	ADP
ejpam-4312	31	26	individual	individual	ADJ
ejpam-4312	31	27	,	,	PUNCT
ejpam-4312	31	28	media	medium	NOUN
ejpam-4312	31	29	and	and	CCONJ
ejpam-4312	31	30	integrated	integrate	VERB
ejpam-4312	31	31	government	government	NOUN
ejpam-4312	31	32	interventions	intervention	NOUN
ejpam-4312	31	33	were	be	AUX
ejpam-4312	31	34	the	the	DET
ejpam-4312	31	35	only	only	ADJ
ejpam-4312	31	36	way	way	NOUN
ejpam-4312	31	37	to	to	PART
ejpam-4312	31	38	reduce	reduce	VERB
ejpam-4312	31	39	the	the	DET
ejpam-4312	31	40	effective	effective	ADJ
ejpam-4312	31	41	reproduction	reproduction	NOUN
ejpam-4312	31	42	number	number	NOUN
ejpam-4312	31	43	to	to	ADP
ejpam-4312	31	44	a	a	DET
ejpam-4312	31	45	figure	figure	NOUN
ejpam-4312	31	46	below	below	ADP
ejpam-4312	31	47	1	1	NUM
ejpam-4312	31	48	.	.	PUNCT
ejpam-4312	32	1	they	they	PRON
ejpam-4312	32	2	added	add	VERB
ejpam-4312	32	3	that	that	SCONJ
ejpam-4312	32	4	individuals	individual	NOUN
ejpam-4312	32	5	must	must	AUX
ejpam-4312	32	6	adhere	adhere	VERB
ejpam-4312	32	7	to	to	ADP
ejpam-4312	32	8	the	the	DET
ejpam-4312	32	9	prevention	prevention	NOUN
ejpam-4312	32	10	protocols	protocol	NOUN
ejpam-4312	32	11	and	and	CCONJ
ejpam-4312	32	12	the	the	DET
ejpam-4312	32	13	media	medium	NOUN
ejpam-4312	32	14	must	must	AUX
ejpam-4312	32	15	intensify	intensify	VERB
ejpam-4312	32	16	its	its	PRON
ejpam-4312	32	17	daily	daily	ADJ
ejpam-4312	32	18	report	report	NOUN
ejpam-4312	32	19	on	on	ADP
ejpam-4312	32	20	covid-19	covid-19	PROPN
ejpam-4312	32	21	cases	case	NOUN
ejpam-4312	32	22	to	to	PART
ejpam-4312	32	23	improve	improve	VERB
ejpam-4312	32	24	behavioral	behavioral	ADJ
ejpam-4312	32	25	change	change	NOUN
ejpam-4312	32	26	,	,	PUNCT
ejpam-4312	32	27	which	which	PRON
ejpam-4312	32	28	have	have	VERB
ejpam-4312	32	29	beneficial	beneficial	ADJ
ejpam-4312	32	30	impact	impact	NOUN
ejpam-4312	32	31	on	on	ADP
ejpam-4312	32	32	the	the	DET
ejpam-4312	32	33	incidence	incidence	ADJ
ejpam-4312	32	34	cases	case	NOUN
ejpam-4312	32	35	.	.	PUNCT
ejpam-4312	33	1	[	[	X
ejpam-4312	33	2	1	1	X
ejpam-4312	33	3	]	]	PUNCT
ejpam-4312	33	4	proposed	propose	VERB
ejpam-4312	33	5	a	a	DET
ejpam-4312	33	6	system	system	NOUN
ejpam-4312	33	7	of	of	ADP
ejpam-4312	33	8	five	five	NUM
ejpam-4312	33	9	non	non	ADJ
ejpam-4312	33	10	-	-	ADJ
ejpam-4312	33	11	linear	linear	ADJ
ejpam-4312	33	12	ordinary	ordinary	ADJ
ejpam-4312	33	13	differential	differential	ADJ
ejpam-4312	33	14	equations	equation	NOUN
ejpam-4312	33	15	to	to	PART
ejpam-4312	33	16	study	study	VERB
ejpam-4312	33	17	the	the	DET
ejpam-4312	33	18	covid-19	covid-19	PROPN
ejpam-4312	33	19	infection	infection	NOUN
ejpam-4312	33	20	and	and	CCONJ
ejpam-4312	33	21	mathematical	mathematical	ADJ
ejpam-4312	33	22	analysis	analysis	NOUN
ejpam-4312	33	23	of	of	ADP
ejpam-4312	33	24	the	the	DET
ejpam-4312	33	25	model	model	NOUN
ejpam-4312	33	26	were	be	AUX
ejpam-4312	33	27	carried	carry	VERB
ejpam-4312	33	28	out	out	ADP
ejpam-4312	33	29	,	,	PUNCT
ejpam-4312	33	30	where	where	SCONJ
ejpam-4312	33	31	boundedness	boundedness	NOUN
ejpam-4312	33	32	,	,	PUNCT
ejpam-4312	33	33	computation	computation	NOUN
ejpam-4312	33	34	of	of	ADP
ejpam-4312	33	35	equilibria	equilibrium	NOUN
ejpam-4312	33	36	,	,	PUNCT
ejpam-4312	33	37	calculation	calculation	NOUN
ejpam-4312	33	38	of	of	ADP
ejpam-4312	33	39	the	the	DET
ejpam-4312	33	40	basic	basic	ADJ
ejpam-4312	33	41	reproduction	reproduction	NOUN
ejpam-4312	33	42	ratio	ratio	NOUN
ejpam-4312	33	43	and	and	CCONJ
ejpam-4312	33	44	stability	stability	NOUN
ejpam-4312	33	45	analysis	analysis	NOUN
ejpam-4312	33	46	of	of	ADP
ejpam-4312	33	47	the	the	DET
ejpam-4312	33	48	equilibria	equilibrium	NOUN
ejpam-4312	33	49	were	be	AUX
ejpam-4312	33	50	carried	carry	VERB
ejpam-4312	33	51	out	out	ADP
ejpam-4312	33	52	.	.	PUNCT
ejpam-4312	34	1	[	[	X
ejpam-4312	34	2	15	15	NUM
ejpam-4312	34	3	]	]	PUNCT
ejpam-4312	34	4	showed	show	VERB
ejpam-4312	34	5	the	the	DET
ejpam-4312	34	6	suitability	suitability	NOUN
ejpam-4312	34	7	of	of	ADP
ejpam-4312	34	8	proposed	propose	VERB
ejpam-4312	34	9	covid-19	covid-19	PROPN
ejpam-4312	34	10	model	model	NOUN
ejpam-4312	34	11	for	for	ADP
ejpam-4312	34	12	the	the	DET
ejpam-4312	34	13	outbreak	outbreak	NOUN
ejpam-4312	34	14	that	that	PRON
ejpam-4312	34	15	occured	occur	VERB
ejpam-4312	34	16	in	in	ADP
ejpam-4312	34	17	wuhan	wuhan	PROPN
ejpam-4312	34	18	,	,	PUNCT
ejpam-4312	34	19	china	china	PROPN
ejpam-4312	34	20	.	.	PUNCT
ejpam-4312	35	1	the	the	DET
ejpam-4312	35	2	model	model	NOUN
ejpam-4312	35	3	divides	divide	VERB
ejpam-4312	35	4	the	the	DET
ejpam-4312	35	5	entire	entire	ADJ
ejpam-4312	35	6	population	population	NOUN
ejpam-4312	35	7	into	into	ADP
ejpam-4312	35	8	eight	eight	NUM
ejpam-4312	35	9	compartments	compartment	NOUN
ejpam-4312	35	10	.	.	PUNCT
ejpam-4312	36	1	by	by	ADP
ejpam-4312	36	2	the	the	DET
ejpam-4312	36	3	parameter	parameter	NOUN
ejpam-4312	36	4	values	value	NOUN
ejpam-4312	36	5	used	use	VERB
ejpam-4312	36	6	in	in	ADP
ejpam-4312	36	7	their	their	PRON
ejpam-4312	36	8	research	research	NOUN
ejpam-4312	36	9	,	,	PUNCT
ejpam-4312	36	10	they	they	PRON
ejpam-4312	36	11	obtained	obtain	VERB
ejpam-4312	36	12	the	the	DET
ejpam-4312	36	13	basic	basic	ADJ
ejpam-4312	36	14	reproduction	reproduction	NOUN
ejpam-4312	36	15	number	number	NOUN
ejpam-4312	36	16	as	as	ADP
ejpam-4312	36	17	r0	r0	NOUN
ejpam-4312	36	18	=	=	NOUN
ejpam-4312	36	19	0.945	0.945	NUM
ejpam-4312	36	20	.	.	PUNCT
ejpam-4312	37	1	[	[	X
ejpam-4312	37	2	23	23	NUM
ejpam-4312	37	3	]	]	PUNCT
ejpam-4312	37	4	implemented	implement	VERB
ejpam-4312	37	5	an	an	DET
ejpam-4312	37	6	attractive	attractive	ADJ
ejpam-4312	37	7	reliable	reliable	ADJ
ejpam-4312	37	8	analytical	analytical	ADJ
ejpam-4312	37	9	technique	technique	NOUN
ejpam-4312	37	10	for	for	ADP
ejpam-4312	37	11	constructing	construct	VERB
ejpam-4312	37	12	numerical	numerical	ADJ
ejpam-4312	37	13	solutions	solution	NOUN
ejpam-4312	37	14	for	for	ADP
ejpam-4312	37	15	the	the	DET
ejpam-4312	37	16	fractional	fractional	ADJ
ejpam-4312	37	17	lienard	lienard	NOUN
ejpam-4312	37	18	’s	’s	PART
ejpam-4312	37	19	model	model	NOUN
ejpam-4312	37	20	enclosed	enclose	VERB
ejpam-4312	37	21	with	with	ADP
ejpam-4312	37	22	suitable	suitable	ADJ
ejpam-4312	37	23	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4312	37	24	initial	initial	ADJ
ejpam-4312	37	25	conditions	condition	NOUN
ejpam-4312	37	26	,	,	PUNCT
ejpam-4312	37	27	which	which	PRON
ejpam-4312	37	28	are	be	AUX
ejpam-4312	37	29	often	often	ADV
ejpam-4312	37	30	designed	design	VERB
ejpam-4312	37	31	to	to	PART
ejpam-4312	37	32	demonstrate	demonstrate	VERB
ejpam-4312	37	33	the	the	DET
ejpam-4312	37	34	behavior	behavior	NOUN
ejpam-4312	37	35	of	of	ADP
ejpam-4312	37	36	weakly	weakly	ADJ
ejpam-4312	37	37	nonlinear	nonlinear	ADJ
ejpam-4312	37	38	waves	wave	NOUN
ejpam-4312	37	39	arising	arise	VERB
ejpam-4312	37	40	in	in	ADP
ejpam-4312	37	41	the	the	DET
ejpam-4312	37	42	oscillating	oscillate	VERB
ejpam-4312	37	43	circuits	circuit	NOUN
ejpam-4312	37	44	.	.	PUNCT
ejpam-4312	38	1	[	[	X
ejpam-4312	38	2	24	24	NUM
ejpam-4312	38	3	]	]	PUNCT
ejpam-4312	38	4	proposed	propose	VERB
ejpam-4312	38	5	the	the	DET
ejpam-4312	38	6	atangana	atangana	PROPN
ejpam-4312	38	7	–	–	PUNCT
ejpam-4312	38	8	baleanu	baleanu	ADJ
ejpam-4312	38	9	fractional	fractional	ADJ
ejpam-4312	38	10	methodology	methodology	NOUN
ejpam-4312	38	11	for	for	ADP
ejpam-4312	38	12	fathoming	fathom	VERB
ejpam-4312	38	13	the	the	DET
ejpam-4312	38	14	van	van	PROPN
ejpam-4312	38	15	der	der	ADJ
ejpam-4312	38	16	pol	pol	NOUN
ejpam-4312	38	17	damping	damp	VERB
ejpam-4312	38	18	model	model	NOUN
ejpam-4312	38	19	by	by	ADP
ejpam-4312	38	20	using	use	VERB
ejpam-4312	38	21	the	the	DET
ejpam-4312	38	22	reproducing	reproduce	VERB
ejpam-4312	38	23	kernel	kernel	NOUN
ejpam-4312	38	24	algorithm	algorithm	NOUN
ejpam-4312	38	25	.	.	PUNCT
ejpam-4312	39	1	in	in	ADP
ejpam-4312	39	2	this	this	DET
ejpam-4312	39	3	research	research	NOUN
ejpam-4312	39	4	work	work	NOUN
ejpam-4312	39	5	,	,	PUNCT
ejpam-4312	39	6	we	we	PRON
ejpam-4312	39	7	shall	shall	AUX
ejpam-4312	39	8	be	be	AUX
ejpam-4312	39	9	considering	consider	VERB
ejpam-4312	39	10	the	the	DET
ejpam-4312	39	11	bifurcation	bifurcation	NOUN
ejpam-4312	39	12	and	and	CCONJ
ejpam-4312	39	13	sensitivity	sensitivity	NOUN
ejpam-4312	39	14	analyses	analysis	NOUN
ejpam-4312	39	15	of	of	ADP
ejpam-4312	39	16	a	a	DET
ejpam-4312	39	17	deterministic	deterministic	ADJ
ejpam-4312	39	18	model	model	NOUN
ejpam-4312	39	19	for	for	ADP
ejpam-4312	39	20	the	the	DET
ejpam-4312	39	21	covid-19	covid-19	PROPN
ejpam-4312	39	22	infection	infection	NOUN
ejpam-4312	39	23	among	among	ADP
ejpam-4312	39	24	pregnant	pregnant	ADJ
ejpam-4312	39	25	and	and	CCONJ
ejpam-4312	39	26	non	non	ADJ
ejpam-4312	39	27	-	-	ADJ
ejpam-4312	39	28	pregnant	pregnant	ADJ
ejpam-4312	39	29	women	woman	NOUN
ejpam-4312	39	30	.	.	PUNCT
ejpam-4312	40	1	the	the	DET
ejpam-4312	40	2	effects	effect	NOUN
ejpam-4312	40	3	of	of	ADP
ejpam-4312	40	4	the	the	DET
ejpam-4312	40	5	effective	effective	ADJ
ejpam-4312	40	6	contact	contact	NOUN
ejpam-4312	40	7	rate	rate	NOUN
ejpam-4312	40	8	,	,	PUNCT
ejpam-4312	40	9	delivery	delivery	NOUN
ejpam-4312	40	10	rate	rate	NOUN
ejpam-4312	40	11	,	,	PUNCT
ejpam-4312	40	12	transmission	transmission	NOUN
ejpam-4312	40	13	coefficient	coefficient	NOUN
ejpam-4312	40	14	of	of	ADP
ejpam-4312	40	15	the	the	DET
ejpam-4312	40	16	class	class	NOUN
ejpam-4312	40	17	of	of	ADP
ejpam-4312	40	18	infectious	infectious	ADJ
ejpam-4312	40	19	pregnant	pregnant	ADJ
ejpam-4312	40	20	women	woman	NOUN
ejpam-4312	40	21	and	and	CCONJ
ejpam-4312	40	22	modification	modification	NOUN
ejpam-4312	40	23	parameter	parameter	NOUN
ejpam-4312	40	24	accounting	account	VERB
ejpam-4312	40	25	for	for	ADP
ejpam-4312	40	26	increased	increase	VERB
ejpam-4312	40	27	susceptibility	susceptibility	NOUN
ejpam-4312	40	28	to	to	ADP
ejpam-4312	40	29	covid-19	covid-19	PROPN
ejpam-4312	40	30	infection	infection	NOUN
ejpam-4312	40	31	by	by	ADP
ejpam-4312	40	32	pregnant	pregnant	ADJ
ejpam-4312	40	33	women	woman	NOUN
ejpam-4312	40	34	over	over	ADP
ejpam-4312	40	35	the	the	DET
ejpam-4312	40	36	population	population	NOUN
ejpam-4312	40	37	of	of	ADP
ejpam-4312	40	38	infectious	infectious	ADJ
ejpam-4312	40	39	individuals	individual	NOUN
ejpam-4312	40	40	shall	shall	AUX
ejpam-4312	40	41	also	also	ADV
ejpam-4312	40	42	be	be	AUX
ejpam-4312	40	43	considered	consider	VERB
ejpam-4312	40	44	.	.	PUNCT
ejpam-4312	41	1	j.	j.	PROPN
ejpam-4312	41	2	tsetimi	tsetimi	PROPN
ejpam-4312	41	3	,	,	PUNCT
ejpam-4312	41	4	m.	m.	NOUN
ejpam-4312	41	5	i.	i.	PROPN
ejpam-4312	41	6	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	41	7	,	,	PUNCT
ejpam-4312	41	8	a.	a.	PROPN
ejpam-4312	41	9	atonuje	atonuje	PROPN
ejpam-4312	41	10	/	/	SYM
ejpam-4312	41	11	eur	eur	PROPN
ejpam-4312	41	12	.	.	PUNCT
ejpam-4312	42	1	j.	j.	PROPN
ejpam-4312	42	2	pure	pure	PROPN
ejpam-4312	42	3	appl	appl	PROPN
ejpam-4312	42	4	.	.	PROPN
ejpam-4312	42	5	math	math	PROPN
ejpam-4312	42	6	,	,	PUNCT
ejpam-4312	42	7	15	15	NUM
ejpam-4312	42	8	(	(	PUNCT
ejpam-4312	42	9	2	2	NUM
ejpam-4312	42	10	)	)	PUNCT
ejpam-4312	42	11	(	(	PUNCT
ejpam-4312	42	12	2022	2022	NUM
ejpam-4312	42	13	)	)	PUNCT
ejpam-4312	42	14	,	,	PUNCT
ejpam-4312	42	15	537	537	NUM
ejpam-4312	42	16	-	-	SYM
ejpam-4312	42	17	556	556	NUM
ejpam-4312	42	18	539	539	NUM
ejpam-4312	42	19	2	2	NUM
ejpam-4312	42	20	.	.	PUNCT
ejpam-4312	42	21	model	model	NOUN
ejpam-4312	42	22	description	description	NOUN
ejpam-4312	42	23	and	and	CCONJ
ejpam-4312	42	24	formulation	formulation	NOUN
ejpam-4312	42	25	in	in	ADP
ejpam-4312	42	26	the	the	DET
ejpam-4312	42	27	model	model	NOUN
ejpam-4312	42	28	,	,	PUNCT
ejpam-4312	42	29	we	we	PRON
ejpam-4312	42	30	let	let	AUX
ejpam-4312	42	31	sp(t	sp(t	PUNCT
ejpam-4312	42	32	)	)	PUNCT
ejpam-4312	42	33	denote	denote	VERB
ejpam-4312	42	34	the	the	DET
ejpam-4312	42	35	total	total	ADJ
ejpam-4312	42	36	number	number	NOUN
ejpam-4312	42	37	of	of	ADP
ejpam-4312	42	38	pregnant	pregnant	ADJ
ejpam-4312	42	39	women	woman	NOUN
ejpam-4312	42	40	who	who	PRON
ejpam-4312	42	41	are	be	AUX
ejpam-4312	42	42	susceptible	susceptible	ADJ
ejpam-4312	42	43	to	to	ADP
ejpam-4312	42	44	the	the	DET
ejpam-4312	42	45	covid-19	covid-19	PROPN
ejpam-4312	42	46	infection	infection	NOUN
ejpam-4312	42	47	at	at	ADP
ejpam-4312	42	48	time	time	NOUN
ejpam-4312	42	49	t	t	PROPN
ejpam-4312	42	50	,	,	PUNCT
ejpam-4312	42	51	while	while	SCONJ
ejpam-4312	42	52	sn(t	sn(t	NOUN
ejpam-4312	42	53	)	)	PUNCT
ejpam-4312	42	54	represents	represent	VERB
ejpam-4312	42	55	the	the	DET
ejpam-4312	42	56	population	population	NOUN
ejpam-4312	42	57	of	of	ADP
ejpam-4312	42	58	nonpregnant	nonpregnant	ADJ
ejpam-4312	42	59	women	woman	NOUN
ejpam-4312	42	60	who	who	PRON
ejpam-4312	42	61	are	be	AUX
ejpam-4312	42	62	susceptible	susceptible	ADJ
ejpam-4312	42	63	to	to	ADP
ejpam-4312	42	64	the	the	DET
ejpam-4312	42	65	covid-19	covid-19	PROPN
ejpam-4312	42	66	infection	infection	NOUN
ejpam-4312	42	67	at	at	ADP
ejpam-4312	42	68	time	time	NOUN
ejpam-4312	42	69	t.	t.	PROPN
ejpam-4312	42	70	the	the	DET
ejpam-4312	42	71	total	total	ADJ
ejpam-4312	42	72	number	number	NOUN
ejpam-4312	42	73	of	of	ADP
ejpam-4312	42	74	pregnant	pregnant	ADJ
ejpam-4312	42	75	women	woman	NOUN
ejpam-4312	42	76	who	who	PRON
ejpam-4312	42	77	are	be	AUX
ejpam-4312	42	78	infectious	infectious	ADJ
ejpam-4312	42	79	of	of	ADP
ejpam-4312	42	80	the	the	DET
ejpam-4312	42	81	covid-19	covid-19	PROPN
ejpam-4312	42	82	disease	disease	NOUN
ejpam-4312	42	83	at	at	ADP
ejpam-4312	42	84	time	time	NOUN
ejpam-4312	42	85	t	t	PROPN
ejpam-4312	42	86	is	be	AUX
ejpam-4312	42	87	represented	represent	VERB
ejpam-4312	42	88	by	by	ADP
ejpam-4312	42	89	ip(t	ip(t	NOUN
ejpam-4312	42	90	)	)	PUNCT
ejpam-4312	42	91	,	,	PUNCT
ejpam-4312	42	92	while	while	SCONJ
ejpam-4312	42	93	the	the	DET
ejpam-4312	42	94	population	population	NOUN
ejpam-4312	42	95	of	of	ADP
ejpam-4312	42	96	non	non	ADJ
ejpam-4312	42	97	-	-	ADJ
ejpam-4312	42	98	pregnant	pregnant	ADJ
ejpam-4312	42	99	women	woman	NOUN
ejpam-4312	42	100	at	at	ADP
ejpam-4312	42	101	time	time	NOUN
ejpam-4312	42	102	t	t	PROPN
ejpam-4312	42	103	is	be	AUX
ejpam-4312	42	104	represented	represent	VERB
ejpam-4312	42	105	by	by	ADP
ejpam-4312	42	106	in(t	in(t	NOUN
ejpam-4312	42	107	)	)	PUNCT
ejpam-4312	42	108	.	.	PUNCT
ejpam-4312	43	1	h(t	h(t	PROPN
ejpam-4312	43	2	)	)	PUNCT
ejpam-4312	43	3	denotes	denote	VERB
ejpam-4312	43	4	the	the	DET
ejpam-4312	43	5	population	population	NOUN
ejpam-4312	43	6	of	of	ADP
ejpam-4312	43	7	women	woman	NOUN
ejpam-4312	43	8	who	who	PRON
ejpam-4312	43	9	are	be	AUX
ejpam-4312	43	10	both	both	ADV
ejpam-4312	43	11	infectious	infectious	ADJ
ejpam-4312	43	12	of	of	ADP
ejpam-4312	43	13	the	the	DET
ejpam-4312	43	14	disease	disease	NOUN
ejpam-4312	43	15	and	and	CCONJ
ejpam-4312	43	16	are	be	AUX
ejpam-4312	43	17	hospitalised	hospitalise	VERB
ejpam-4312	43	18	at	at	ADP
ejpam-4312	43	19	time	time	NOUN
ejpam-4312	43	20	t.	t.	PROPN
ejpam-4312	43	21	we	we	PRON
ejpam-4312	43	22	let	let	VERB
ejpam-4312	43	23	the	the	DET
ejpam-4312	43	24	total	total	ADJ
ejpam-4312	43	25	number	number	NOUN
ejpam-4312	43	26	of	of	ADP
ejpam-4312	43	27	pregnant	pregnant	ADJ
ejpam-4312	43	28	women	woman	NOUN
ejpam-4312	43	29	who	who	PRON
ejpam-4312	43	30	have	have	AUX
ejpam-4312	43	31	recovered	recover	VERB
ejpam-4312	43	32	from	from	ADP
ejpam-4312	43	33	the	the	DET
ejpam-4312	43	34	disease	disease	NOUN
ejpam-4312	43	35	at	at	ADP
ejpam-4312	43	36	time	time	NOUN
ejpam-4312	43	37	t	t	PROPN
ejpam-4312	43	38	be	be	AUX
ejpam-4312	43	39	represented	represent	VERB
ejpam-4312	43	40	by	by	ADP
ejpam-4312	43	41	rp(t	rp(t	NOUN
ejpam-4312	43	42	)	)	PUNCT
ejpam-4312	43	43	and	and	CCONJ
ejpam-4312	43	44	the	the	DET
ejpam-4312	43	45	total	total	ADJ
ejpam-4312	43	46	population	population	NOUN
ejpam-4312	43	47	of	of	ADP
ejpam-4312	43	48	non	non	ADJ
ejpam-4312	43	49	-	-	ADJ
ejpam-4312	43	50	pregnant	pregnant	ADJ
ejpam-4312	43	51	women	woman	NOUN
ejpam-4312	43	52	at	at	ADP
ejpam-4312	43	53	time	time	NOUN
ejpam-4312	43	54	t	t	PROPN
ejpam-4312	43	55	be	be	AUX
ejpam-4312	43	56	represented	represent	VERB
ejpam-4312	43	57	by	by	ADP
ejpam-4312	43	58	rn(t	rn(t	NOUN
ejpam-4312	43	59	)	)	PUNCT
ejpam-4312	43	60	.	.	PUNCT
ejpam-4312	44	1	the	the	DET
ejpam-4312	44	2	model	model	NOUN
ejpam-4312	44	3	divides	divide	VERB
ejpam-4312	44	4	the	the	DET
ejpam-4312	44	5	total	total	ADJ
ejpam-4312	44	6	women	woman	NOUN
ejpam-4312	44	7	population	population	NOUN
ejpam-4312	44	8	into	into	ADP
ejpam-4312	44	9	compartments	compartment	NOUN
ejpam-4312	44	10	namely	namely	ADV
ejpam-4312	44	11	sn	sn	VERB
ejpam-4312	44	12	,	,	PUNCT
ejpam-4312	44	13	in	in	ADP
ejpam-4312	44	14	,	,	PUNCT
ejpam-4312	44	15	rn	rn	PROPN
ejpam-4312	44	16	,	,	PUNCT
ejpam-4312	44	17	h	h	NOUN
ejpam-4312	44	18	,	,	PUNCT
ejpam-4312	44	19	sp	sp	NOUN
ejpam-4312	44	20	,	,	PUNCT
ejpam-4312	44	21	ip	ip	NOUN
ejpam-4312	44	22	,	,	PUNCT
ejpam-4312	44	23	rp	rp	NOUN
ejpam-4312	44	24	.	.	PUNCT
ejpam-4312	45	1	the	the	DET
ejpam-4312	45	2	total	total	ADJ
ejpam-4312	45	3	population	population	NOUN
ejpam-4312	45	4	is	be	AUX
ejpam-4312	45	5	given	give	VERB
ejpam-4312	45	6	as	as	ADP
ejpam-4312	45	7	n(t	n(t	NOUN
ejpam-4312	45	8	)	)	PUNCT
ejpam-4312	45	9	=	=	SYM
ejpam-4312	45	10	sn(t	sn(t	X
ejpam-4312	45	11	)	)	PUNCT
ejpam-4312	45	12	+	+	NUM
ejpam-4312	45	13	in(t	in(t	NOUN
ejpam-4312	45	14	)	)	PUNCT
ejpam-4312	46	1	+	+	ADP
ejpam-4312	46	2	rn(t	rn(t	X
ejpam-4312	46	3	)	)	PUNCT
ejpam-4312	47	1	+	+	VERB
ejpam-4312	47	2	h(t	h(t	X
ejpam-4312	47	3	)	)	PUNCT
ejpam-4312	47	4	+	+	CCONJ
ejpam-4312	47	5	sp(t	sp(t	X
ejpam-4312	47	6	)	)	PUNCT
ejpam-4312	47	7	+	+	NUM
ejpam-4312	47	8	ip(t	ip(t	NOUN
ejpam-4312	47	9	)	)	PUNCT
ejpam-4312	48	1	+	+	NOUN
ejpam-4312	48	2	rp(t	rp(t	NOUN
ejpam-4312	48	3	)	)	PUNCT
ejpam-4312	48	4	.	.	PUNCT
ejpam-4312	49	1	(	(	PUNCT
ejpam-4312	49	2	1	1	X
ejpam-4312	49	3	)	)	PUNCT
ejpam-4312	49	4	the	the	DET
ejpam-4312	49	5	model	model	NOUN
ejpam-4312	49	6	is	be	AUX
ejpam-4312	49	7	based	base	VERB
ejpam-4312	49	8	on	on	ADP
ejpam-4312	49	9	the	the	DET
ejpam-4312	49	10	following	follow	VERB
ejpam-4312	49	11	assumptions	assumption	NOUN
ejpam-4312	49	12	:	:	PUNCT
ejpam-4312	49	13	1	1	X
ejpam-4312	49	14	.	.	X
ejpam-4312	49	15	both	both	PRON
ejpam-4312	49	16	infectious	infectious	ADJ
ejpam-4312	49	17	expectant	expectant	ADJ
ejpam-4312	49	18	and	and	CCONJ
ejpam-4312	49	19	infectious	infectious	ADJ
ejpam-4312	49	20	non	non	ADJ
ejpam-4312	49	21	-	-	ADJ
ejpam-4312	49	22	expectant	expectant	ADJ
ejpam-4312	49	23	mothers	mother	NOUN
ejpam-4312	49	24	are	be	AUX
ejpam-4312	49	25	kept	keep	VERB
ejpam-4312	49	26	in	in	ADP
ejpam-4312	49	27	the	the	DET
ejpam-4312	49	28	same	same	ADJ
ejpam-4312	49	29	health	health	NOUN
ejpam-4312	49	30	care	care	NOUN
ejpam-4312	49	31	facility	facility	NOUN
ejpam-4312	49	32	.	.	PUNCT
ejpam-4312	50	1	2	2	X
ejpam-4312	50	2	.	.	X
ejpam-4312	50	3	disease	disease	NOUN
ejpam-4312	50	4	-	-	PUNCT
ejpam-4312	50	5	induced	induce	VERB
ejpam-4312	50	6	death	death	NOUN
ejpam-4312	50	7	rate	rate	NOUN
ejpam-4312	50	8	is	be	AUX
ejpam-4312	50	9	same	same	ADJ
ejpam-4312	50	10	for	for	ADP
ejpam-4312	50	11	both	both	CCONJ
ejpam-4312	50	12	pregnant	pregnant	ADJ
ejpam-4312	50	13	and	and	CCONJ
ejpam-4312	50	14	non	non	ADJ
ejpam-4312	50	15	-	-	ADJ
ejpam-4312	50	16	pregnant	pregnant	ADJ
ejpam-4312	50	17	women	woman	NOUN
ejpam-4312	50	18	.	.	PUNCT
ejpam-4312	51	1	3	3	X
ejpam-4312	51	2	.	.	X
ejpam-4312	51	3	the	the	DET
ejpam-4312	51	4	conception	conception	NOUN
ejpam-4312	51	5	rate	rate	NOUN
ejpam-4312	51	6	is	be	AUX
ejpam-4312	51	7	the	the	DET
ejpam-4312	51	8	same	same	ADJ
ejpam-4312	51	9	for	for	ADP
ejpam-4312	51	10	the	the	DET
ejpam-4312	51	11	susceptible	susceptible	ADJ
ejpam-4312	51	12	,	,	PUNCT
ejpam-4312	51	13	infectious	infectious	ADJ
ejpam-4312	51	14	and	and	CCONJ
ejpam-4312	51	15	recovered	recovered	ADJ
ejpam-4312	51	16	compartments	compartment	NOUN
ejpam-4312	51	17	.	.	PUNCT
ejpam-4312	52	1	4	4	X
ejpam-4312	52	2	.	.	X
ejpam-4312	52	3	the	the	DET
ejpam-4312	52	4	delivery	delivery	NOUN
ejpam-4312	52	5	rate	rate	NOUN
ejpam-4312	52	6	is	be	AUX
ejpam-4312	52	7	the	the	DET
ejpam-4312	52	8	same	same	ADJ
ejpam-4312	52	9	for	for	ADP
ejpam-4312	52	10	the	the	DET
ejpam-4312	52	11	susceptible	susceptible	ADJ
ejpam-4312	52	12	,	,	PUNCT
ejpam-4312	52	13	infectious	infectious	ADJ
ejpam-4312	52	14	and	and	CCONJ
ejpam-4312	52	15	recovered	recovered	ADJ
ejpam-4312	52	16	compartments	compartment	NOUN
ejpam-4312	52	17	.	.	PUNCT
ejpam-4312	53	1	the	the	DET
ejpam-4312	53	2	susceptible	susceptible	ADJ
ejpam-4312	53	3	class	class	NOUN
ejpam-4312	53	4	for	for	ADP
ejpam-4312	53	5	non	non	ADJ
ejpam-4312	53	6	-	-	ADJ
ejpam-4312	53	7	pregnant	pregnant	ADJ
ejpam-4312	53	8	women	woman	NOUN
ejpam-4312	53	9	non	non	ADJ
ejpam-4312	53	10	-	-	ADJ
ejpam-4312	53	11	pregnant	pregnant	ADJ
ejpam-4312	53	12	women	woman	NOUN
ejpam-4312	53	13	are	be	AUX
ejpam-4312	53	14	recruited	recruit	VERB
ejpam-4312	53	15	into	into	ADP
ejpam-4312	53	16	the	the	DET
ejpam-4312	53	17	susceptible	susceptible	ADJ
ejpam-4312	53	18	class	class	NOUN
ejpam-4312	53	19	sn	sn	NOUN
ejpam-4312	53	20	at	at	ADP
ejpam-4312	53	21	the	the	DET
ejpam-4312	53	22	rate	rate	NOUN
ejpam-4312	53	23	λ	λ	PROPN
ejpam-4312	53	24	.	.	PUNCT
ejpam-4312	54	1	this	this	DET
ejpam-4312	54	2	class	class	NOUN
ejpam-4312	54	3	is	be	AUX
ejpam-4312	54	4	also	also	ADV
ejpam-4312	54	5	increased	increase	VERB
ejpam-4312	54	6	by	by	ADP
ejpam-4312	54	7	women	woman	NOUN
ejpam-4312	54	8	from	from	ADP
ejpam-4312	54	9	the	the	DET
ejpam-4312	54	10	class	class	NOUN
ejpam-4312	54	11	sp	sp	ADP
ejpam-4312	54	12	who	who	PRON
ejpam-4312	54	13	have	have	AUX
ejpam-4312	54	14	been	be	AUX
ejpam-4312	54	15	delivered	deliver	VERB
ejpam-4312	54	16	of	of	ADP
ejpam-4312	54	17	their	their	PRON
ejpam-4312	54	18	babies	baby	NOUN
ejpam-4312	54	19	at	at	ADP
ejpam-4312	54	20	the	the	DET
ejpam-4312	54	21	rate	rate	NOUN
ejpam-4312	54	22	θ	θ	PROPN
ejpam-4312	54	23	.	.	PUNCT
ejpam-4312	54	24	non	non	ADJ
ejpam-4312	54	25	-	-	ADJ
ejpam-4312	54	26	pregnant	pregnant	ADJ
ejpam-4312	54	27	women	woman	NOUN
ejpam-4312	54	28	who	who	PRON
ejpam-4312	54	29	have	have	AUX
ejpam-4312	54	30	recovered	recover	VERB
ejpam-4312	54	31	from	from	ADP
ejpam-4312	54	32	the	the	DET
ejpam-4312	54	33	covid-19	covid-19	PROPN
ejpam-4312	54	34	disease	disease	NOUN
ejpam-4312	54	35	can	can	AUX
ejpam-4312	54	36	become	become	VERB
ejpam-4312	54	37	susceptible	susceptible	ADJ
ejpam-4312	54	38	to	to	ADP
ejpam-4312	54	39	the	the	DET
ejpam-4312	54	40	disease	disease	NOUN
ejpam-4312	54	41	at	at	ADP
ejpam-4312	54	42	the	the	DET
ejpam-4312	54	43	rate	rate	NOUN
ejpam-4312	54	44	ψ	ψ	NOUN
ejpam-4312	54	45	.	.	PUNCT
ejpam-4312	55	1	women	woman	NOUN
ejpam-4312	55	2	leave	leave	VERB
ejpam-4312	55	3	this	this	DET
ejpam-4312	55	4	compartment	compartment	NOUN
ejpam-4312	55	5	when	when	SCONJ
ejpam-4312	55	6	they	they	PRON
ejpam-4312	55	7	become	become	VERB
ejpam-4312	55	8	infected	infected	ADJ
ejpam-4312	55	9	at	at	ADP
ejpam-4312	55	10	the	the	DET
ejpam-4312	55	11	rate	rate	NOUN
ejpam-4312	55	12	χ	χ	NOUN
ejpam-4312	55	13	and	and	CCONJ
ejpam-4312	55	14	they	they	PRON
ejpam-4312	55	15	join	join	VERB
ejpam-4312	55	16	the	the	DET
ejpam-4312	55	17	infectious	infectious	ADJ
ejpam-4312	55	18	class	class	NOUN
ejpam-4312	55	19	in	in	ADV
ejpam-4312	55	20	for	for	ADP
ejpam-4312	55	21	the	the	DET
ejpam-4312	55	22	non	non	ADJ
ejpam-4312	55	23	-	-	ADJ
ejpam-4312	55	24	pregnant	pregnant	ADJ
ejpam-4312	55	25	women	woman	NOUN
ejpam-4312	55	26	.	.	PUNCT
ejpam-4312	56	1	the	the	DET
ejpam-4312	56	2	rate	rate	NOUN
ejpam-4312	56	3	χ	χ	NOUN
ejpam-4312	56	4	is	be	AUX
ejpam-4312	56	5	frequency	frequency	NOUN
ejpam-4312	56	6	of	of	ADP
ejpam-4312	56	7	occurrence	occurrence	NOUN
ejpam-4312	56	8	of	of	ADP
ejpam-4312	56	9	new	new	ADJ
ejpam-4312	56	10	instances	instance	NOUN
ejpam-4312	56	11	of	of	ADP
ejpam-4312	56	12	the	the	DET
ejpam-4312	56	13	covid-19	covid-19	PROPN
ejpam-4312	56	14	infection	infection	NOUN
ejpam-4312	56	15	within	within	ADP
ejpam-4312	56	16	the	the	DET
ejpam-4312	56	17	given	give	VERB
ejpam-4312	56	18	population	population	NOUN
ejpam-4312	56	19	under	under	ADP
ejpam-4312	56	20	consideration	consideration	NOUN
ejpam-4312	56	21	during	during	ADP
ejpam-4312	56	22	a	a	DET
ejpam-4312	56	23	specific	specific	ADJ
ejpam-4312	56	24	period	period	NOUN
ejpam-4312	56	25	of	of	ADP
ejpam-4312	56	26	time	time	NOUN
ejpam-4312	56	27	.	.	PUNCT
ejpam-4312	57	1	this	this	DET
ejpam-4312	57	2	parameter	parameter	NOUN
ejpam-4312	57	3	is	be	AUX
ejpam-4312	57	4	very	very	ADV
ejpam-4312	57	5	important	important	ADJ
ejpam-4312	57	6	in	in	ADP
ejpam-4312	57	7	this	this	DET
ejpam-4312	57	8	model	model	NOUN
ejpam-4312	57	9	since	since	SCONJ
ejpam-4312	57	10	it	it	PRON
ejpam-4312	57	11	is	be	AUX
ejpam-4312	57	12	directly	directly	ADV
ejpam-4312	57	13	proportional	proportional	ADJ
ejpam-4312	57	14	to	to	ADP
ejpam-4312	57	15	the	the	DET
ejpam-4312	57	16	average	average	ADJ
ejpam-4312	57	17	number	number	NOUN
ejpam-4312	57	18	of	of	ADP
ejpam-4312	57	19	infections	infection	NOUN
ejpam-4312	57	20	.	.	PUNCT
ejpam-4312	58	1	χ	χ	PRON
ejpam-4312	58	2	is	be	AUX
ejpam-4312	58	3	the	the	DET
ejpam-4312	58	4	force	force	NOUN
ejpam-4312	58	5	of	of	ADP
ejpam-4312	58	6	infection	infection	NOUN
ejpam-4312	58	7	of	of	ADP
ejpam-4312	58	8	the	the	DET
ejpam-4312	58	9	covid-19	covid-19	PROPN
ejpam-4312	58	10	disease	disease	NOUN
ejpam-4312	58	11	and	and	CCONJ
ejpam-4312	58	12	it	it	PRON
ejpam-4312	58	13	is	be	AUX
ejpam-4312	58	14	defined	define	VERB
ejpam-4312	58	15	as	as	ADP
ejpam-4312	58	16	χ	χ	PROPN
ejpam-4312	58	17	=	=	PUNCT
ejpam-4312	58	18	k(1−$	k(1−$	X
ejpam-4312	58	19	)	)	PUNCT
ejpam-4312	59	1	in+%ip+ιh	in+%ip+ιh	NOUN
ejpam-4312	59	2	n	n	ADV
ejpam-4312	59	3	where	where	SCONJ
ejpam-4312	59	4	k	k	PROPN
ejpam-4312	59	5	is	be	AUX
ejpam-4312	59	6	the	the	DET
ejpam-4312	59	7	effective	effective	ADJ
ejpam-4312	59	8	contact	contact	NOUN
ejpam-4312	59	9	rate	rate	NOUN
ejpam-4312	59	10	for	for	ADP
ejpam-4312	59	11	covid-19	covid-19	PROPN
ejpam-4312	59	12	transmission	transmission	NOUN
ejpam-4312	59	13	,	,	PUNCT
ejpam-4312	59	14	$	$	PROPN
ejpam-4312	59	15	is	be	AUX
ejpam-4312	59	16	the	the	DET
ejpam-4312	59	17	rate	rate	NOUN
ejpam-4312	59	18	of	of	ADP
ejpam-4312	59	19	adherence	adherence	NOUN
ejpam-4312	59	20	of	of	ADP
ejpam-4312	59	21	women	woman	NOUN
ejpam-4312	59	22	to	to	ADP
ejpam-4312	59	23	government	government	NOUN
ejpam-4312	59	24	’s	’s	PART
ejpam-4312	59	25	regulations	regulation	NOUN
ejpam-4312	59	26	on	on	ADP
ejpam-4312	59	27	vaccination	vaccination	NOUN
ejpam-4312	59	28	,	,	PUNCT
ejpam-4312	59	29	social	social	ADJ
ejpam-4312	59	30	distancing	distancing	NOUN
ejpam-4312	59	31	,	,	PUNCT
ejpam-4312	59	32	hand	hand	NOUN
ejpam-4312	59	33	-	-	PUNCT
ejpam-4312	59	34	washing	washing	NOUN
ejpam-4312	59	35	and	and	CCONJ
ejpam-4312	59	36	the	the	DET
ejpam-4312	59	37	use	use	NOUN
ejpam-4312	59	38	of	of	ADP
ejpam-4312	59	39	nose	nose	NOUN
ejpam-4312	59	40	mask	mask	NOUN
ejpam-4312	59	41	and	and	CCONJ
ejpam-4312	59	42	sanitizer	sanitizer	NOUN
ejpam-4312	59	43	.	.	PUNCT
ejpam-4312	60	1	a	a	DET
ejpam-4312	60	2	high	high	ADJ
ejpam-4312	60	3	value	value	NOUN
ejpam-4312	60	4	of	of	ADP
ejpam-4312	60	5	k	k	PROPN
ejpam-4312	60	6	means	mean	VERB
ejpam-4312	60	7	an	an	DET
ejpam-4312	60	8	increased	increase	VERB
ejpam-4312	60	9	force	force	NOUN
ejpam-4312	60	10	of	of	ADP
ejpam-4312	60	11	infection	infection	NOUN
ejpam-4312	60	12	and	and	CCONJ
ejpam-4312	60	13	this	this	PRON
ejpam-4312	60	14	can	can	AUX
ejpam-4312	60	15	boost	boost	VERB
ejpam-4312	60	16	the	the	DET
ejpam-4312	60	17	number	number	NOUN
ejpam-4312	60	18	of	of	ADP
ejpam-4312	60	19	infectious	infectious	ADJ
ejpam-4312	60	20	cases	case	NOUN
ejpam-4312	60	21	of	of	ADP
ejpam-4312	60	22	j.	j.	PROPN
ejpam-4312	60	23	tsetimi	tsetimi	PROPN
ejpam-4312	60	24	,	,	PUNCT
ejpam-4312	60	25	m.	m.	NOUN
ejpam-4312	60	26	i.	i.	PROPN
ejpam-4312	60	27	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	60	28	,	,	PUNCT
ejpam-4312	60	29	a.	a.	PROPN
ejpam-4312	60	30	atonuje	atonuje	PROPN
ejpam-4312	60	31	/	/	SYM
ejpam-4312	60	32	eur	eur	PROPN
ejpam-4312	60	33	.	.	PUNCT
ejpam-4312	61	1	j.	j.	PROPN
ejpam-4312	61	2	pure	pure	PROPN
ejpam-4312	61	3	appl	appl	PROPN
ejpam-4312	61	4	.	.	PROPN
ejpam-4312	61	5	math	math	PROPN
ejpam-4312	61	6	,	,	PUNCT
ejpam-4312	61	7	15	15	NUM
ejpam-4312	61	8	(	(	PUNCT
ejpam-4312	61	9	2	2	NUM
ejpam-4312	61	10	)	)	PUNCT
ejpam-4312	61	11	(	(	PUNCT
ejpam-4312	61	12	2022	2022	NUM
ejpam-4312	61	13	)	)	PUNCT
ejpam-4312	61	14	,	,	PUNCT
ejpam-4312	61	15	537	537	NUM
ejpam-4312	61	16	-	-	SYM
ejpam-4312	61	17	556	556	NUM
ejpam-4312	61	18	540	540	NUM
ejpam-4312	61	19	the	the	DET
ejpam-4312	61	20	covid-19	covid-19	PROPN
ejpam-4312	61	21	disease	disease	NOUN
ejpam-4312	61	22	among	among	ADP
ejpam-4312	61	23	the	the	DET
ejpam-4312	61	24	women	woman	NOUN
ejpam-4312	61	25	population	population	NOUN
ejpam-4312	61	26	.	.	PUNCT
ejpam-4312	62	1	%	%	INTJ
ejpam-4312	63	1	and	and	CCONJ
ejpam-4312	63	2	ι	ι	PROPN
ejpam-4312	63	3	are	be	AUX
ejpam-4312	63	4	transmission	transmission	NOUN
ejpam-4312	63	5	coefficients	coefficient	NOUN
ejpam-4312	63	6	for	for	ADP
ejpam-4312	63	7	the	the	DET
ejpam-4312	63	8	pregnant	pregnant	ADJ
ejpam-4312	63	9	infectious	infectious	ADJ
ejpam-4312	63	10	women	woman	NOUN
ejpam-4312	63	11	and	and	CCONJ
ejpam-4312	63	12	the	the	DET
ejpam-4312	63	13	hospitalised	hospitalise	VERB
ejpam-4312	63	14	women	woman	NOUN
ejpam-4312	63	15	respectively	respectively	ADV
ejpam-4312	63	16	.	.	PUNCT
ejpam-4312	64	1	the	the	DET
ejpam-4312	64	2	value	value	NOUN
ejpam-4312	64	3	of	of	ADP
ejpam-4312	64	4	ι	ι	PROPN
ejpam-4312	64	5	is	be	AUX
ejpam-4312	64	6	expected	expect	VERB
ejpam-4312	64	7	to	to	PART
ejpam-4312	64	8	be	be	AUX
ejpam-4312	64	9	relatively	relatively	ADV
ejpam-4312	64	10	small	small	ADJ
ejpam-4312	64	11	compared	compare	VERB
ejpam-4312	64	12	to	to	ADP
ejpam-4312	64	13	the	the	DET
ejpam-4312	64	14	value	value	NOUN
ejpam-4312	64	15	of	of	ADP
ejpam-4312	64	16	%	%	NOUN
ejpam-4312	64	17	since	since	SCONJ
ejpam-4312	64	18	the	the	DET
ejpam-4312	64	19	women	woman	NOUN
ejpam-4312	64	20	in	in	ADP
ejpam-4312	64	21	the	the	DET
ejpam-4312	64	22	hospitalised	hospitalise	VERB
ejpam-4312	64	23	compartment	compartment	NOUN
ejpam-4312	64	24	are	be	AUX
ejpam-4312	64	25	constrained	constrain	VERB
ejpam-4312	64	26	to	to	PART
ejpam-4312	64	27	follow	follow	VERB
ejpam-4312	64	28	strict	strict	ADJ
ejpam-4312	64	29	preventive	preventive	ADJ
ejpam-4312	64	30	measures	measure	NOUN
ejpam-4312	64	31	and	and	CCONJ
ejpam-4312	64	32	possible	possible	ADJ
ejpam-4312	64	33	isolation	isolation	NOUN
ejpam-4312	64	34	,	,	PUNCT
ejpam-4312	64	35	hence	hence	ADV
ejpam-4312	64	36	their	their	PRON
ejpam-4312	64	37	transmission	transmission	NOUN
ejpam-4312	64	38	coefficient	coefficient	NOUN
ejpam-4312	64	39	must	must	AUX
ejpam-4312	64	40	be	be	AUX
ejpam-4312	64	41	relatively	relatively	ADV
ejpam-4312	64	42	low	low	ADJ
ejpam-4312	64	43	.	.	PUNCT
ejpam-4312	65	1	women	woman	NOUN
ejpam-4312	65	2	who	who	PRON
ejpam-4312	65	3	become	become	VERB
ejpam-4312	65	4	pregnant	pregnant	ADJ
ejpam-4312	65	5	also	also	ADV
ejpam-4312	65	6	leave	leave	VERB
ejpam-4312	65	7	this	this	DET
ejpam-4312	65	8	compartment	compartment	NOUN
ejpam-4312	65	9	and	and	CCONJ
ejpam-4312	65	10	are	be	AUX
ejpam-4312	65	11	joined	join	VERB
ejpam-4312	65	12	to	to	ADP
ejpam-4312	65	13	the	the	DET
ejpam-4312	65	14	susceptible	susceptible	ADJ
ejpam-4312	65	15	class	class	NOUN
ejpam-4312	65	16	(	(	PUNCT
ejpam-4312	65	17	sp	sp	NOUN
ejpam-4312	65	18	)	)	PUNCT
ejpam-4312	65	19	for	for	ADP
ejpam-4312	65	20	pregnant	pregnant	ADJ
ejpam-4312	65	21	women	woman	NOUN
ejpam-4312	65	22	.	.	PUNCT
ejpam-4312	66	1	the	the	DET
ejpam-4312	66	2	population	population	NOUN
ejpam-4312	66	3	of	of	ADP
ejpam-4312	66	4	this	this	DET
ejpam-4312	66	5	class	class	NOUN
ejpam-4312	66	6	sn	sn	PROPN
ejpam-4312	66	7	is	be	AUX
ejpam-4312	66	8	also	also	ADV
ejpam-4312	66	9	reduced	reduce	VERB
ejpam-4312	66	10	by	by	ADP
ejpam-4312	66	11	natural	natural	ADJ
ejpam-4312	66	12	death	death	NOUN
ejpam-4312	66	13	at	at	ADP
ejpam-4312	66	14	the	the	DET
ejpam-4312	66	15	rate	rate	NOUN
ejpam-4312	66	16	µ.	µ.	NOUN
ejpam-4312	66	17	thus	thus	ADV
ejpam-4312	66	18	,	,	PUNCT
ejpam-4312	66	19	the	the	DET
ejpam-4312	66	20	equation	equation	NOUN
ejpam-4312	66	21	for	for	ADP
ejpam-4312	66	22	this	this	DET
ejpam-4312	66	23	class	class	NOUN
ejpam-4312	66	24	is	be	AUX
ejpam-4312	66	25	given	give	VERB
ejpam-4312	66	26	as	as	ADP
ejpam-4312	66	27	dsn	dsn	PROPN
ejpam-4312	66	28	dt	dt	NOUN
ejpam-4312	66	29	=	=	PUNCT
ejpam-4312	66	30	λ+	λ+	PUNCT
ejpam-4312	66	31	θsp	θsp	NOUN
ejpam-4312	66	32	+	+	NOUN
ejpam-4312	66	33	ψrn	ψrn	NOUN
ejpam-4312	66	34	−	−	PROPN
ejpam-4312	66	35	(	(	PUNCT
ejpam-4312	66	36	δ	δ	PROPN
ejpam-4312	66	37	+	+	CCONJ
ejpam-4312	66	38	µ+	µ+	PROPN
ejpam-4312	66	39	χ)sn	χ)sn	PROPN
ejpam-4312	66	40	.	.	PROPN
ejpam-4312	67	1	(	(	PUNCT
ejpam-4312	67	2	2	2	X
ejpam-4312	67	3	)	)	PUNCT
ejpam-4312	67	4	the	the	DET
ejpam-4312	67	5	infectious	infectious	ADJ
ejpam-4312	67	6	class	class	NOUN
ejpam-4312	67	7	for	for	ADP
ejpam-4312	67	8	non	non	ADJ
ejpam-4312	67	9	-	-	ADJ
ejpam-4312	67	10	pregnant	pregnant	ADJ
ejpam-4312	67	11	women	woman	NOUN
ejpam-4312	67	12	the	the	DET
ejpam-4312	67	13	infectious	infectious	ADJ
ejpam-4312	67	14	class	class	NOUN
ejpam-4312	67	15	in	in	ADP
ejpam-4312	67	16	of	of	ADP
ejpam-4312	67	17	non	non	ADJ
ejpam-4312	67	18	-	-	ADJ
ejpam-4312	67	19	pregnant	pregnant	ADJ
ejpam-4312	67	20	women	woman	NOUN
ejpam-4312	67	21	is	be	AUX
ejpam-4312	67	22	increased	increase	VERB
ejpam-4312	67	23	by	by	ADP
ejpam-4312	67	24	non	non	ADJ
ejpam-4312	67	25	-	-	ADJ
ejpam-4312	67	26	pregnant	pregnant	ADJ
ejpam-4312	67	27	women	woman	NOUN
ejpam-4312	67	28	who	who	PRON
ejpam-4312	67	29	have	have	AUX
ejpam-4312	67	30	caught	catch	VERB
ejpam-4312	67	31	the	the	DET
ejpam-4312	67	32	covid-19	covid-19	PROPN
ejpam-4312	67	33	disease	disease	NOUN
ejpam-4312	67	34	by	by	ADP
ejpam-4312	67	35	the	the	DET
ejpam-4312	67	36	force	force	NOUN
ejpam-4312	67	37	of	of	ADP
ejpam-4312	67	38	infection	infection	NOUN
ejpam-4312	67	39	χ	χ	NOUN
ejpam-4312	67	40	and	and	CCONJ
ejpam-4312	67	41	are	be	AUX
ejpam-4312	67	42	now	now	ADV
ejpam-4312	67	43	infectious	infectious	ADJ
ejpam-4312	67	44	.	.	PUNCT
ejpam-4312	68	1	infectious	infectious	ADJ
ejpam-4312	68	2	pregnant	pregnant	ADJ
ejpam-4312	68	3	women	woman	NOUN
ejpam-4312	68	4	who	who	PRON
ejpam-4312	68	5	have	have	AUX
ejpam-4312	68	6	been	be	AUX
ejpam-4312	68	7	delivered	deliver	VERB
ejpam-4312	68	8	of	of	ADP
ejpam-4312	68	9	their	their	PRON
ejpam-4312	68	10	babies	baby	NOUN
ejpam-4312	68	11	also	also	ADV
ejpam-4312	68	12	join	join	VERB
ejpam-4312	68	13	this	this	DET
ejpam-4312	68	14	class	class	NOUN
ejpam-4312	68	15	at	at	ADP
ejpam-4312	68	16	the	the	DET
ejpam-4312	68	17	rate	rate	NOUN
ejpam-4312	68	18	θ	θ	PROPN
ejpam-4312	68	19	.	.	PUNCT
ejpam-4312	69	1	women	woman	NOUN
ejpam-4312	69	2	in	in	ADP
ejpam-4312	69	3	this	this	DET
ejpam-4312	69	4	class	class	NOUN
ejpam-4312	69	5	conceive	conceive	NOUN
ejpam-4312	69	6	at	at	ADP
ejpam-4312	69	7	the	the	DET
ejpam-4312	69	8	rate	rate	NOUN
ejpam-4312	69	9	δ	δ	PROPN
ejpam-4312	69	10	and	and	CCONJ
ejpam-4312	69	11	move	move	VERB
ejpam-4312	69	12	into	into	ADP
ejpam-4312	69	13	the	the	DET
ejpam-4312	69	14	infectious	infectious	ADJ
ejpam-4312	69	15	class	class	NOUN
ejpam-4312	69	16	for	for	ADP
ejpam-4312	69	17	pregnant	pregnant	ADJ
ejpam-4312	69	18	women	woman	NOUN
ejpam-4312	69	19	.	.	PUNCT
ejpam-4312	70	1	non	non	ADJ
ejpam-4312	70	2	-	-	ADJ
ejpam-4312	70	3	pregnant	pregnant	ADJ
ejpam-4312	70	4	infectious	infectious	ADJ
ejpam-4312	70	5	women	woman	NOUN
ejpam-4312	70	6	are	be	AUX
ejpam-4312	70	7	hospitalised	hospitalise	VERB
ejpam-4312	70	8	/	/	SYM
ejpam-4312	70	9	quarantined	quarantine	VERB
ejpam-4312	70	10	at	at	ADP
ejpam-4312	70	11	the	the	DET
ejpam-4312	70	12	rate	rate	NOUN
ejpam-4312	70	13	ε	ε	PROPN
ejpam-4312	70	14	.	.	PUNCT
ejpam-4312	71	1	the	the	DET
ejpam-4312	71	2	recovery	recovery	NOUN
ejpam-4312	71	3	rate	rate	NOUN
ejpam-4312	71	4	of	of	ADP
ejpam-4312	71	5	women	woman	NOUN
ejpam-4312	71	6	in	in	ADP
ejpam-4312	71	7	this	this	DET
ejpam-4312	71	8	infectious	infectious	ADJ
ejpam-4312	71	9	class	class	NOUN
ejpam-4312	71	10	ip	ip	NOUN
ejpam-4312	71	11	is	be	AUX
ejpam-4312	71	12	η	η	PROPN
ejpam-4312	71	13	.	.	PUNCT
ejpam-4312	71	14	the	the	PRON
ejpam-4312	71	15	higher	high	ADJ
ejpam-4312	71	16	the	the	DET
ejpam-4312	71	17	value	value	NOUN
ejpam-4312	71	18	of	of	ADP
ejpam-4312	71	19	η	η	PROPN
ejpam-4312	71	20	,	,	PUNCT
ejpam-4312	71	21	the	the	PRON
ejpam-4312	71	22	faster	fast	ADJ
ejpam-4312	71	23	the	the	DET
ejpam-4312	71	24	elimination	elimination	NOUN
ejpam-4312	71	25	of	of	ADP
ejpam-4312	71	26	the	the	DET
ejpam-4312	71	27	covid-19	covid-19	PROPN
ejpam-4312	71	28	infection	infection	NOUN
ejpam-4312	71	29	from	from	ADP
ejpam-4312	71	30	the	the	DET
ejpam-4312	71	31	pregnant	pregnant	ADJ
ejpam-4312	71	32	women	woman	NOUN
ejpam-4312	71	33	population	population	NOUN
ejpam-4312	71	34	.	.	PUNCT
ejpam-4312	72	1	the	the	DET
ejpam-4312	72	2	size	size	NOUN
ejpam-4312	72	3	of	of	ADP
ejpam-4312	72	4	this	this	DET
ejpam-4312	72	5	class	class	NOUN
ejpam-4312	72	6	is	be	AUX
ejpam-4312	72	7	also	also	ADV
ejpam-4312	72	8	reduced	reduce	VERB
ejpam-4312	72	9	by	by	ADP
ejpam-4312	72	10	disease	disease	NOUN
ejpam-4312	72	11	-	-	PUNCT
ejpam-4312	72	12	induced	induce	VERB
ejpam-4312	72	13	deaths	death	NOUN
ejpam-4312	72	14	at	at	ADP
ejpam-4312	72	15	the	the	DET
ejpam-4312	72	16	rate	rate	NOUN
ejpam-4312	72	17	ς	ς	PROPN
ejpam-4312	72	18	.	.	PUNCT
ejpam-4312	72	19	natural	natural	ADJ
ejpam-4312	72	20	death	death	NOUN
ejpam-4312	72	21	also	also	ADV
ejpam-4312	72	22	occurs	occur	VERB
ejpam-4312	72	23	in	in	ADP
ejpam-4312	72	24	this	this	DET
ejpam-4312	72	25	infectious	infectious	ADJ
ejpam-4312	72	26	class	class	NOUN
ejpam-4312	72	27	at	at	ADP
ejpam-4312	72	28	the	the	DET
ejpam-4312	72	29	rate	rate	NOUN
ejpam-4312	72	30	µ.	µ.	NOUN
ejpam-4312	72	31	the	the	DET
ejpam-4312	72	32	equation	equation	NOUN
ejpam-4312	72	33	for	for	ADP
ejpam-4312	72	34	the	the	DET
ejpam-4312	72	35	compartment	compartment	NOUN
ejpam-4312	72	36	is	be	AUX
ejpam-4312	72	37	given	give	VERB
ejpam-4312	72	38	as	as	ADP
ejpam-4312	72	39	din	din	VERB
ejpam-4312	72	40	dt	dt	X
ejpam-4312	72	41	=	=	PUNCT
ejpam-4312	72	42	χsn	χsn	PROPN
ejpam-4312	72	43	+	+	CCONJ
ejpam-4312	72	44	θip	θip	NOUN
ejpam-4312	72	45	−	−	PROPN
ejpam-4312	72	46	(	(	PUNCT
ejpam-4312	72	47	δ	δ	PROPN
ejpam-4312	72	48	+	+	CCONJ
ejpam-4312	72	49	ε+	ε+	X
ejpam-4312	72	50	η	η	PROPN
ejpam-4312	72	51	+	+	PROPN
ejpam-4312	72	52	µ+	µ+	PROPN
ejpam-4312	72	53	ς)in	ς)in	PROPN
ejpam-4312	72	54	.	.	PUNCT
ejpam-4312	73	1	(	(	PUNCT
ejpam-4312	73	2	3	3	X
ejpam-4312	73	3	)	)	PUNCT
ejpam-4312	73	4	the	the	DET
ejpam-4312	73	5	recovered	recovered	ADJ
ejpam-4312	73	6	class	class	NOUN
ejpam-4312	73	7	for	for	ADP
ejpam-4312	73	8	non	non	ADJ
ejpam-4312	73	9	-	-	ADJ
ejpam-4312	73	10	pregnant	pregnant	ADJ
ejpam-4312	73	11	women	woman	NOUN
ejpam-4312	73	12	individuals	individual	NOUN
ejpam-4312	73	13	from	from	ADP
ejpam-4312	73	14	the	the	DET
ejpam-4312	73	15	infectious	infectious	ADJ
ejpam-4312	73	16	class	class	NOUN
ejpam-4312	73	17	in	in	ADP
ejpam-4312	73	18	and	and	CCONJ
ejpam-4312	73	19	the	the	DET
ejpam-4312	73	20	hospitalised	hospitalise	VERB
ejpam-4312	73	21	class	class	NOUN
ejpam-4312	73	22	h	h	NOUN
ejpam-4312	73	23	join	join	VERB
ejpam-4312	73	24	the	the	DET
ejpam-4312	73	25	recovered	recovered	ADJ
ejpam-4312	73	26	class	class	NOUN
ejpam-4312	73	27	rn	rn	PROPN
ejpam-4312	73	28	at	at	ADP
ejpam-4312	73	29	the	the	DET
ejpam-4312	73	30	rates	rate	NOUN
ejpam-4312	73	31	η	η	PROPN
ejpam-4312	73	32	and	and	CCONJ
ejpam-4312	73	33	pϕ	pϕ	NOUN
ejpam-4312	73	34	respectively	respectively	ADV
ejpam-4312	73	35	,	,	PUNCT
ejpam-4312	73	36	where	where	SCONJ
ejpam-4312	73	37	p	p	NOUN
ejpam-4312	73	38	is	be	AUX
ejpam-4312	73	39	the	the	DET
ejpam-4312	73	40	proportion	proportion	NOUN
ejpam-4312	73	41	of	of	ADP
ejpam-4312	73	42	hospitalised	hospitalise	VERB
ejpam-4312	73	43	individuals	individual	NOUN
ejpam-4312	73	44	who	who	PRON
ejpam-4312	73	45	have	have	AUX
ejpam-4312	73	46	recovered	recover	VERB
ejpam-4312	73	47	from	from	ADP
ejpam-4312	73	48	the	the	DET
ejpam-4312	73	49	disease	disease	NOUN
ejpam-4312	73	50	but	but	CCONJ
ejpam-4312	73	51	are	be	AUX
ejpam-4312	73	52	not	not	PART
ejpam-4312	73	53	pregnant	pregnant	ADJ
ejpam-4312	73	54	.	.	PUNCT
ejpam-4312	74	1	pregnant	pregnant	ADJ
ejpam-4312	74	2	women	woman	NOUN
ejpam-4312	74	3	in	in	ADP
ejpam-4312	74	4	the	the	DET
ejpam-4312	74	5	class	class	NOUN
ejpam-4312	74	6	rp	rp	NOUN
ejpam-4312	74	7	who	who	PRON
ejpam-4312	74	8	have	have	AUX
ejpam-4312	74	9	recovered	recover	VERB
ejpam-4312	74	10	from	from	ADP
ejpam-4312	74	11	the	the	DET
ejpam-4312	74	12	disease	disease	NOUN
ejpam-4312	74	13	and	and	CCONJ
ejpam-4312	74	14	have	have	AUX
ejpam-4312	74	15	been	be	AUX
ejpam-4312	74	16	delivered	deliver	VERB
ejpam-4312	74	17	of	of	ADP
ejpam-4312	74	18	their	their	PRON
ejpam-4312	74	19	babies	baby	NOUN
ejpam-4312	74	20	are	be	AUX
ejpam-4312	74	21	also	also	ADV
ejpam-4312	74	22	added	add	VERB
ejpam-4312	74	23	to	to	ADP
ejpam-4312	74	24	this	this	DET
ejpam-4312	74	25	class	class	NOUN
ejpam-4312	74	26	rn	rn	PROPN
ejpam-4312	74	27	.	.	PROPN
ejpam-4312	75	1	as	as	ADP
ejpam-4312	75	2	a	a	DET
ejpam-4312	75	3	result	result	NOUN
ejpam-4312	75	4	of	of	ADP
ejpam-4312	75	5	loss	loss	NOUN
ejpam-4312	75	6	of	of	ADP
ejpam-4312	75	7	immunity	immunity	NOUN
ejpam-4312	75	8	,	,	PUNCT
ejpam-4312	75	9	individuals	individual	NOUN
ejpam-4312	75	10	in	in	ADP
ejpam-4312	75	11	this	this	DET
ejpam-4312	75	12	compartment	compartment	NOUN
ejpam-4312	75	13	return	return	NOUN
ejpam-4312	75	14	to	to	ADP
ejpam-4312	75	15	the	the	DET
ejpam-4312	75	16	class	class	NOUN
ejpam-4312	75	17	sn	sn	NOUN
ejpam-4312	75	18	at	at	ADP
ejpam-4312	75	19	the	the	DET
ejpam-4312	75	20	rate	rate	NOUN
ejpam-4312	75	21	ψ	ψ	NOUN
ejpam-4312	75	22	.	.	PUNCT
ejpam-4312	76	1	individuals	individual	NOUN
ejpam-4312	76	2	also	also	ADV
ejpam-4312	76	3	leave	leave	VERB
ejpam-4312	76	4	this	this	DET
ejpam-4312	76	5	class	class	NOUN
ejpam-4312	76	6	for	for	ADP
ejpam-4312	76	7	the	the	DET
ejpam-4312	76	8	class	class	NOUN
ejpam-4312	76	9	rp	rp	NOUN
ejpam-4312	76	10	due	due	ADP
ejpam-4312	76	11	to	to	ADP
ejpam-4312	76	12	conception	conception	NOUN
ejpam-4312	76	13	at	at	ADP
ejpam-4312	76	14	the	the	DET
ejpam-4312	76	15	rate	rate	NOUN
ejpam-4312	76	16	δ	δ	PROPN
ejpam-4312	76	17	.	.	PUNCT
ejpam-4312	76	18	natural	natural	ADJ
ejpam-4312	76	19	death	death	NOUN
ejpam-4312	76	20	occurs	occur	VERB
ejpam-4312	76	21	here	here	ADV
ejpam-4312	76	22	at	at	ADP
ejpam-4312	76	23	the	the	DET
ejpam-4312	76	24	rate	rate	NOUN
ejpam-4312	76	25	µ.	µ.	PROPN
ejpam-4312	76	26	drn	drn	PROPN
ejpam-4312	76	27	dt	dt	PROPN
ejpam-4312	76	28	=	=	SYM
ejpam-4312	76	29	θrp	θrp	PROPN
ejpam-4312	76	30	+	+	CCONJ
ejpam-4312	76	31	pϕh	pϕh	NOUN
ejpam-4312	76	32	+	+	CCONJ
ejpam-4312	76	33	ηin	ηin	PROPN
ejpam-4312	76	34	−	−	PROPN
ejpam-4312	76	35	(	(	PUNCT
ejpam-4312	76	36	δ	δ	PROPN
ejpam-4312	76	37	+	+	X
ejpam-4312	76	38	µ+ψ)rn	µ+ψ)rn	ADV
ejpam-4312	76	39	.	.	PUNCT
ejpam-4312	77	1	(	(	PUNCT
ejpam-4312	77	2	4	4	X
ejpam-4312	77	3	)	)	PUNCT
ejpam-4312	77	4	the	the	DET
ejpam-4312	77	5	hospitalised	hospitalise	VERB
ejpam-4312	77	6	class	class	NOUN
ejpam-4312	77	7	the	the	DET
ejpam-4312	77	8	population	population	NOUN
ejpam-4312	77	9	of	of	ADP
ejpam-4312	77	10	this	this	DET
ejpam-4312	77	11	class	class	NOUN
ejpam-4312	77	12	is	be	AUX
ejpam-4312	77	13	increased	increase	VERB
ejpam-4312	77	14	by	by	ADP
ejpam-4312	77	15	individuals	individual	NOUN
ejpam-4312	77	16	from	from	ADP
ejpam-4312	77	17	the	the	DET
ejpam-4312	77	18	compartments	compartment	NOUN
ejpam-4312	77	19	in	in	ADP
ejpam-4312	77	20	and	and	CCONJ
ejpam-4312	77	21	ip	ip	NOUN
ejpam-4312	77	22	.	.	PUNCT
ejpam-4312	78	1	individuals	individual	NOUN
ejpam-4312	78	2	in	in	ADP
ejpam-4312	78	3	the	the	DET
ejpam-4312	78	4	infectious	infectious	ADJ
ejpam-4312	78	5	classes	class	NOUN
ejpam-4312	78	6	in	in	ADP
ejpam-4312	78	7	and	and	CCONJ
ejpam-4312	78	8	ip	ip	NOUN
ejpam-4312	78	9	are	be	AUX
ejpam-4312	78	10	hospitalised	hospitalise	VERB
ejpam-4312	78	11	at	at	ADP
ejpam-4312	78	12	the	the	DET
ejpam-4312	78	13	rates	rate	NOUN
ejpam-4312	78	14	ε	ε	PROPN
ejpam-4312	78	15	and	and	CCONJ
ejpam-4312	78	16	α	α	PRON
ejpam-4312	78	17	respectively	respectively	ADV
ejpam-4312	78	18	.	.	PUNCT
ejpam-4312	79	1	the	the	DET
ejpam-4312	79	2	recovery	recovery	NOUN
ejpam-4312	79	3	rate	rate	NOUN
ejpam-4312	79	4	of	of	ADP
ejpam-4312	79	5	these	these	DET
ejpam-4312	79	6	women	woman	NOUN
ejpam-4312	79	7	who	who	PRON
ejpam-4312	79	8	have	have	AUX
ejpam-4312	79	9	been	be	AUX
ejpam-4312	79	10	hospitalised	hospitalise	VERB
ejpam-4312	79	11	is	be	AUX
ejpam-4312	79	12	ϕ	ϕ	NOUN
ejpam-4312	79	13	,	,	PUNCT
ejpam-4312	79	14	while	while	SCONJ
ejpam-4312	79	15	j.	j.	PROPN
ejpam-4312	79	16	tsetimi	tsetimi	PROPN
ejpam-4312	79	17	,	,	PUNCT
ejpam-4312	79	18	m.	m.	NOUN
ejpam-4312	79	19	i.	i.	PROPN
ejpam-4312	79	20	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	79	21	,	,	PUNCT
ejpam-4312	79	22	a.	a.	PROPN
ejpam-4312	79	23	atonuje	atonuje	PROPN
ejpam-4312	79	24	/	/	SYM
ejpam-4312	79	25	eur	eur	PROPN
ejpam-4312	79	26	.	.	PUNCT
ejpam-4312	80	1	j.	j.	PROPN
ejpam-4312	80	2	pure	pure	PROPN
ejpam-4312	80	3	appl	appl	PROPN
ejpam-4312	80	4	.	.	PROPN
ejpam-4312	80	5	math	math	PROPN
ejpam-4312	80	6	,	,	PUNCT
ejpam-4312	80	7	15	15	NUM
ejpam-4312	80	8	(	(	PUNCT
ejpam-4312	80	9	2	2	NUM
ejpam-4312	80	10	)	)	PUNCT
ejpam-4312	80	11	(	(	PUNCT
ejpam-4312	80	12	2022	2022	NUM
ejpam-4312	80	13	)	)	PUNCT
ejpam-4312	80	14	,	,	PUNCT
ejpam-4312	80	15	537	537	NUM
ejpam-4312	80	16	-	-	SYM
ejpam-4312	80	17	556	556	NUM
ejpam-4312	80	18	541	541	NUM
ejpam-4312	80	19	disease	disease	NOUN
ejpam-4312	80	20	-	-	PUNCT
ejpam-4312	80	21	induced	induce	VERB
ejpam-4312	80	22	death	death	NOUN
ejpam-4312	80	23	also	also	ADV
ejpam-4312	80	24	occurs	occur	VERB
ejpam-4312	80	25	in	in	ADP
ejpam-4312	80	26	this	this	DET
ejpam-4312	80	27	class	class	NOUN
ejpam-4312	80	28	at	at	ADP
ejpam-4312	80	29	the	the	DET
ejpam-4312	80	30	rate	rate	NOUN
ejpam-4312	80	31	ς	ς	PROPN
ejpam-4312	80	32	.	.	PUNCT
ejpam-4312	80	33	individuals	individual	NOUN
ejpam-4312	80	34	in	in	ADP
ejpam-4312	80	35	this	this	DET
ejpam-4312	80	36	class	class	NOUN
ejpam-4312	80	37	can	can	AUX
ejpam-4312	80	38	also	also	ADV
ejpam-4312	80	39	die	die	VERB
ejpam-4312	80	40	due	due	ADJ
ejpam-4312	80	41	to	to	ADP
ejpam-4312	80	42	natural	natural	ADJ
ejpam-4312	80	43	death	death	NOUN
ejpam-4312	80	44	at	at	ADP
ejpam-4312	80	45	the	the	DET
ejpam-4312	80	46	rate	rate	NOUN
ejpam-4312	80	47	µ.	µ.	PROPN
ejpam-4312	80	48	dh	dh	PROPN
ejpam-4312	81	1	dt	dt	PROPN
ejpam-4312	81	2	=	=	SYM
ejpam-4312	81	3	εin	εin	PROPN
ejpam-4312	81	4	+	+	CCONJ
ejpam-4312	81	5	αip	αip	PROPN
ejpam-4312	81	6	−	−	PROPN
ejpam-4312	81	7	(	(	PUNCT
ejpam-4312	81	8	µ+	µ+	X
ejpam-4312	81	9	ς	ς	PROPN
ejpam-4312	81	10	+	+	X
ejpam-4312	81	11	ϕ)h	ϕ)h	NOUN
ejpam-4312	81	12	.	.	PUNCT
ejpam-4312	82	1	(	(	PUNCT
ejpam-4312	82	2	5	5	X
ejpam-4312	82	3	)	)	PUNCT
ejpam-4312	82	4	the	the	DET
ejpam-4312	82	5	susceptible	susceptible	ADJ
ejpam-4312	82	6	class	class	NOUN
ejpam-4312	82	7	for	for	ADP
ejpam-4312	82	8	pregnant	pregnant	ADJ
ejpam-4312	82	9	women	woman	NOUN
ejpam-4312	82	10	the	the	DET
ejpam-4312	82	11	recruitment	recruitment	NOUN
ejpam-4312	82	12	rate	rate	NOUN
ejpam-4312	82	13	of	of	ADP
ejpam-4312	82	14	pregnant	pregnant	ADJ
ejpam-4312	82	15	women	woman	NOUN
ejpam-4312	82	16	into	into	ADP
ejpam-4312	82	17	the	the	DET
ejpam-4312	82	18	susceptible	susceptible	ADJ
ejpam-4312	82	19	class	class	NOUN
ejpam-4312	82	20	sp	sp	NOUN
ejpam-4312	82	21	is	be	AUX
ejpam-4312	82	22	denoted	denote	VERB
ejpam-4312	82	23	by	by	ADP
ejpam-4312	82	24	π	π	PROPN
ejpam-4312	82	25	.	.	PUNCT
ejpam-4312	83	1	this	this	DET
ejpam-4312	83	2	compartment	compartment	NOUN
ejpam-4312	83	3	is	be	AUX
ejpam-4312	83	4	also	also	ADV
ejpam-4312	83	5	increased	increase	VERB
ejpam-4312	83	6	by	by	ADP
ejpam-4312	83	7	pregnant	pregnant	ADJ
ejpam-4312	83	8	women	woman	NOUN
ejpam-4312	83	9	who	who	PRON
ejpam-4312	83	10	have	have	AUX
ejpam-4312	83	11	recovered	recover	VERB
ejpam-4312	83	12	from	from	ADP
ejpam-4312	83	13	the	the	DET
ejpam-4312	83	14	disease	disease	NOUN
ejpam-4312	83	15	but	but	CCONJ
ejpam-4312	83	16	lost	lose	VERB
ejpam-4312	83	17	their	their	PRON
ejpam-4312	83	18	immunity	immunity	NOUN
ejpam-4312	83	19	.	.	PUNCT
ejpam-4312	84	1	this	this	DET
ejpam-4312	84	2	women	woman	NOUN
ejpam-4312	84	3	return	return	VERB
ejpam-4312	84	4	to	to	ADP
ejpam-4312	84	5	the	the	DET
ejpam-4312	84	6	susceptible	susceptible	ADJ
ejpam-4312	84	7	class	class	NOUN
ejpam-4312	84	8	at	at	ADP
ejpam-4312	84	9	the	the	DET
ejpam-4312	84	10	rate	rate	NOUN
ejpam-4312	84	11	σ	σ	PROPN
ejpam-4312	84	12	.	.	PUNCT
ejpam-4312	85	1	individuals	individual	NOUN
ejpam-4312	85	2	in	in	ADP
ejpam-4312	85	3	the	the	DET
ejpam-4312	85	4	class	class	NOUN
ejpam-4312	85	5	sn	sn	NOUN
ejpam-4312	85	6	move	move	VERB
ejpam-4312	85	7	into	into	ADP
ejpam-4312	85	8	the	the	DET
ejpam-4312	85	9	class	class	NOUN
ejpam-4312	85	10	sp	sp	ADP
ejpam-4312	85	11	due	due	ADP
ejpam-4312	85	12	to	to	ADP
ejpam-4312	85	13	conception	conception	NOUN
ejpam-4312	85	14	at	at	ADP
ejpam-4312	85	15	the	the	DET
ejpam-4312	85	16	rate	rate	NOUN
ejpam-4312	85	17	δ	δ	PROPN
ejpam-4312	85	18	.	.	PUNCT
ejpam-4312	86	1	individuals	individual	NOUN
ejpam-4312	86	2	in	in	ADP
ejpam-4312	86	3	this	this	DET
ejpam-4312	86	4	compartment	compartment	NOUN
ejpam-4312	86	5	can	can	AUX
ejpam-4312	86	6	become	become	VERB
ejpam-4312	86	7	infected	infected	ADJ
ejpam-4312	86	8	at	at	ADP
ejpam-4312	86	9	the	the	DET
ejpam-4312	86	10	rate	rate	NOUN
ejpam-4312	86	11	βχ	βχ	ADJ
ejpam-4312	86	12	and	and	CCONJ
ejpam-4312	86	13	join	join	VERB
ejpam-4312	86	14	the	the	DET
ejpam-4312	86	15	infectious	infectious	ADJ
ejpam-4312	86	16	class	class	NOUN
ejpam-4312	86	17	ip	ip	NOUN
ejpam-4312	86	18	where	where	SCONJ
ejpam-4312	86	19	β	β	PROPN
ejpam-4312	86	20	is	be	AUX
ejpam-4312	86	21	the	the	DET
ejpam-4312	86	22	modification	modification	NOUN
ejpam-4312	86	23	parameter	parameter	NOUN
ejpam-4312	86	24	accounting	account	VERB
ejpam-4312	86	25	for	for	ADP
ejpam-4312	86	26	increased	increase	VERB
ejpam-4312	86	27	susceptibility	susceptibility	NOUN
ejpam-4312	86	28	to	to	ADP
ejpam-4312	86	29	covid-19	covid-19	PROPN
ejpam-4312	86	30	infection	infection	NOUN
ejpam-4312	86	31	by	by	ADP
ejpam-4312	86	32	pregnant	pregnant	ADJ
ejpam-4312	86	33	women	woman	NOUN
ejpam-4312	86	34	.	.	PUNCT
ejpam-4312	87	1	this	this	DET
ejpam-4312	87	2	modification	modification	NOUN
ejpam-4312	87	3	parameter	parameter	NOUN
ejpam-4312	87	4	of	of	ADP
ejpam-4312	87	5	the	the	DET
ejpam-4312	87	6	force	force	NOUN
ejpam-4312	87	7	of	of	ADP
ejpam-4312	87	8	infection	infection	NOUN
ejpam-4312	87	9	is	be	AUX
ejpam-4312	87	10	very	very	ADV
ejpam-4312	87	11	important	important	ADJ
ejpam-4312	87	12	when	when	SCONJ
ejpam-4312	87	13	considering	consider	VERB
ejpam-4312	87	14	the	the	DET
ejpam-4312	87	15	dynamics	dynamic	NOUN
ejpam-4312	87	16	of	of	ADP
ejpam-4312	87	17	the	the	DET
ejpam-4312	87	18	covid-19	covid-19	PROPN
ejpam-4312	87	19	infection	infection	NOUN
ejpam-4312	87	20	among	among	ADP
ejpam-4312	87	21	pregnant	pregnant	ADJ
ejpam-4312	87	22	women	woman	NOUN
ejpam-4312	87	23	.	.	PUNCT
ejpam-4312	88	1	it	it	PRON
ejpam-4312	88	2	is	be	AUX
ejpam-4312	88	3	expected	expect	VERB
ejpam-4312	88	4	that	that	SCONJ
ejpam-4312	88	5	β	β	PRON
ejpam-4312	88	6	raises	raise	VERB
ejpam-4312	88	7	the	the	DET
ejpam-4312	88	8	value	value	NOUN
ejpam-4312	88	9	of	of	ADP
ejpam-4312	88	10	the	the	DET
ejpam-4312	88	11	force	force	NOUN
ejpam-4312	88	12	of	of	ADP
ejpam-4312	88	13	infection	infection	NOUN
ejpam-4312	88	14	for	for	ADP
ejpam-4312	88	15	the	the	DET
ejpam-4312	88	16	pregnant	pregnant	ADJ
ejpam-4312	88	17	women	woman	NOUN
ejpam-4312	88	18	.	.	PUNCT
ejpam-4312	89	1	women	woman	NOUN
ejpam-4312	89	2	in	in	ADP
ejpam-4312	89	3	this	this	DET
ejpam-4312	89	4	compartment	compartment	NOUN
ejpam-4312	89	5	can	can	AUX
ejpam-4312	89	6	also	also	ADV
ejpam-4312	89	7	move	move	VERB
ejpam-4312	89	8	into	into	ADP
ejpam-4312	89	9	the	the	DET
ejpam-4312	89	10	class	class	NOUN
ejpam-4312	89	11	sn	sn	NOUN
ejpam-4312	89	12	due	due	ADP
ejpam-4312	89	13	to	to	ADP
ejpam-4312	89	14	delivery	delivery	NOUN
ejpam-4312	89	15	at	at	ADP
ejpam-4312	89	16	the	the	DET
ejpam-4312	89	17	rate	rate	NOUN
ejpam-4312	89	18	θ	θ	PROPN
ejpam-4312	89	19	.	.	PUNCT
ejpam-4312	89	20	natural	natural	ADJ
ejpam-4312	89	21	death	death	NOUN
ejpam-4312	89	22	also	also	ADV
ejpam-4312	89	23	occurs	occur	VERB
ejpam-4312	89	24	in	in	ADP
ejpam-4312	89	25	this	this	DET
ejpam-4312	89	26	class	class	NOUN
ejpam-4312	89	27	at	at	ADP
ejpam-4312	89	28	the	the	DET
ejpam-4312	89	29	rate	rate	NOUN
ejpam-4312	89	30	µ.	µ.	PROPN
ejpam-4312	89	31	dsp	dsp	PROPN
ejpam-4312	89	32	dt	dt	NOUN
ejpam-4312	90	1	=	=	PUNCT
ejpam-4312	90	2	π+	π+	X
ejpam-4312	90	3	δsn	δsn	X
ejpam-4312	90	4	+	+	X
ejpam-4312	90	5	σrp	σrp	ADJ
ejpam-4312	90	6	−	−	PROPN
ejpam-4312	90	7	(	(	PUNCT
ejpam-4312	90	8	βχ+	βχ+	VERB
ejpam-4312	90	9	θ	θ	PROPN
ejpam-4312	90	10	+	+	PUNCT
ejpam-4312	90	11	µ)sp	µ)sp	PROPN
ejpam-4312	90	12	.	.	PUNCT
ejpam-4312	91	1	(	(	PUNCT
ejpam-4312	91	2	6	6	NUM
ejpam-4312	91	3	)	)	PUNCT
ejpam-4312	91	4	the	the	DET
ejpam-4312	91	5	infectious	infectious	ADJ
ejpam-4312	91	6	class	class	NOUN
ejpam-4312	91	7	for	for	ADP
ejpam-4312	91	8	pregnant	pregnant	ADJ
ejpam-4312	91	9	women	woman	NOUN
ejpam-4312	91	10	the	the	DET
ejpam-4312	91	11	population	population	NOUN
ejpam-4312	91	12	of	of	ADP
ejpam-4312	91	13	individuals	individual	NOUN
ejpam-4312	91	14	in	in	ADP
ejpam-4312	91	15	this	this	DET
ejpam-4312	91	16	class	class	NOUN
ejpam-4312	91	17	ip	ip	NOUN
ejpam-4312	91	18	is	be	AUX
ejpam-4312	91	19	increased	increase	VERB
ejpam-4312	91	20	by	by	ADP
ejpam-4312	91	21	individuals	individual	NOUN
ejpam-4312	91	22	from	from	ADP
ejpam-4312	91	23	the	the	DET
ejpam-4312	91	24	classes	class	NOUN
ejpam-4312	91	25	sp	sp	ADP
ejpam-4312	91	26	and	and	CCONJ
ejpam-4312	91	27	in	in	ADP
ejpam-4312	91	28	at	at	ADP
ejpam-4312	91	29	the	the	DET
ejpam-4312	91	30	rates	rate	NOUN
ejpam-4312	91	31	βχ	βχ	ADJ
ejpam-4312	91	32	and	and	CCONJ
ejpam-4312	91	33	δ	δ	PROPN
ejpam-4312	91	34	respectively	respectively	ADV
ejpam-4312	91	35	.	.	PUNCT
ejpam-4312	92	1	individuals	individual	NOUN
ejpam-4312	92	2	in	in	ADP
ejpam-4312	92	3	this	this	DET
ejpam-4312	92	4	class	class	NOUN
ejpam-4312	92	5	are	be	AUX
ejpam-4312	92	6	hospitalised	hospitalise	VERB
ejpam-4312	92	7	at	at	ADP
ejpam-4312	92	8	the	the	DET
ejpam-4312	92	9	rate	rate	NOUN
ejpam-4312	92	10	α	α	NOUN
ejpam-4312	92	11	.	.	PUNCT
ejpam-4312	93	1	infectious	infectious	ADJ
ejpam-4312	93	2	individuals	individual	NOUN
ejpam-4312	93	3	who	who	PRON
ejpam-4312	93	4	have	have	AUX
ejpam-4312	93	5	been	be	AUX
ejpam-4312	93	6	delivered	deliver	VERB
ejpam-4312	93	7	of	of	ADP
ejpam-4312	93	8	their	their	PRON
ejpam-4312	93	9	babies	baby	NOUN
ejpam-4312	93	10	leave	leave	VERB
ejpam-4312	93	11	this	this	DET
ejpam-4312	93	12	class	class	NOUN
ejpam-4312	93	13	and	and	CCONJ
ejpam-4312	93	14	join	join	VERB
ejpam-4312	93	15	the	the	DET
ejpam-4312	93	16	class	class	NOUN
ejpam-4312	93	17	in	in	ADP
ejpam-4312	93	18	at	at	ADP
ejpam-4312	93	19	the	the	DET
ejpam-4312	93	20	rate	rate	NOUN
ejpam-4312	93	21	θ	θ	PROPN
ejpam-4312	93	22	.	.	PUNCT
ejpam-4312	94	1	the	the	DET
ejpam-4312	94	2	recovery	recovery	NOUN
ejpam-4312	94	3	rate	rate	NOUN
ejpam-4312	94	4	of	of	ADP
ejpam-4312	94	5	infectious	infectious	ADJ
ejpam-4312	94	6	pregnant	pregnant	ADJ
ejpam-4312	94	7	women	woman	NOUN
ejpam-4312	94	8	is	be	AUX
ejpam-4312	94	9	γ	γ	PROPN
ejpam-4312	94	10	.	.	PUNCT
ejpam-4312	94	11	pregnant	pregnant	ADJ
ejpam-4312	94	12	women	woman	NOUN
ejpam-4312	94	13	in	in	ADP
ejpam-4312	94	14	this	this	DET
ejpam-4312	94	15	compartment	compartment	NOUN
ejpam-4312	94	16	die	die	VERB
ejpam-4312	94	17	due	due	ADP
ejpam-4312	94	18	to	to	ADP
ejpam-4312	94	19	the	the	DET
ejpam-4312	94	20	disease	disease	NOUN
ejpam-4312	94	21	and	and	CCONJ
ejpam-4312	94	22	also	also	ADV
ejpam-4312	94	23	due	due	ADP
ejpam-4312	94	24	to	to	ADP
ejpam-4312	94	25	natural	natural	ADJ
ejpam-4312	94	26	death	death	NOUN
ejpam-4312	94	27	at	at	ADP
ejpam-4312	94	28	the	the	DET
ejpam-4312	94	29	rates	rate	NOUN
ejpam-4312	94	30	ς	ς	PROPN
ejpam-4312	94	31	and	and	CCONJ
ejpam-4312	94	32	µ	µ	PRON
ejpam-4312	94	33	respectively	respectively	ADV
ejpam-4312	94	34	.	.	PUNCT
ejpam-4312	95	1	the	the	DET
ejpam-4312	95	2	severity	severity	NOUN
ejpam-4312	95	3	of	of	ADP
ejpam-4312	95	4	the	the	DET
ejpam-4312	95	5	covid-19	covid-19	PROPN
ejpam-4312	95	6	infection	infection	NOUN
ejpam-4312	95	7	among	among	ADP
ejpam-4312	95	8	pregnant	pregnant	ADJ
ejpam-4312	95	9	women	woman	NOUN
ejpam-4312	95	10	directly	directly	ADV
ejpam-4312	95	11	influences	influence	VERB
ejpam-4312	95	12	the	the	DET
ejpam-4312	95	13	value	value	NOUN
ejpam-4312	95	14	of	of	ADP
ejpam-4312	95	15	ς	ς	PROPN
ejpam-4312	95	16	.	.	PUNCT
ejpam-4312	96	1	dip	dip	NOUN
ejpam-4312	96	2	dt	dt	NOUN
ejpam-4312	96	3	=	=	SYM
ejpam-4312	96	4	δin	δin	PROPN
ejpam-4312	96	5	+	+	CCONJ
ejpam-4312	96	6	βχsp	βχsp	ADV
ejpam-4312	96	7	−	−	PROPN
ejpam-4312	96	8	(	(	PUNCT
ejpam-4312	96	9	α+	α+	X
ejpam-4312	96	10	γ	γ	X
ejpam-4312	96	11	+	+	NOUN
ejpam-4312	96	12	θ	θ	PROPN
ejpam-4312	96	13	+	+	NUM
ejpam-4312	96	14	µ+	µ+	PROPN
ejpam-4312	96	15	ς)ip	ς)ip	PROPN
ejpam-4312	96	16	.	.	PUNCT
ejpam-4312	97	1	(	(	PUNCT
ejpam-4312	97	2	7	7	X
ejpam-4312	97	3	)	)	PUNCT
ejpam-4312	97	4	recovered	recovered	ADJ
ejpam-4312	97	5	class	class	NOUN
ejpam-4312	97	6	for	for	ADP
ejpam-4312	97	7	pregnant	pregnant	ADJ
ejpam-4312	97	8	women	woman	NOUN
ejpam-4312	97	9	this	this	DET
ejpam-4312	97	10	class	class	NOUN
ejpam-4312	97	11	is	be	AUX
ejpam-4312	97	12	increased	increase	VERB
ejpam-4312	97	13	by	by	ADP
ejpam-4312	97	14	individuals	individual	NOUN
ejpam-4312	97	15	from	from	ADP
ejpam-4312	97	16	the	the	DET
ejpam-4312	97	17	classes	class	NOUN
ejpam-4312	97	18	h	h	NOUN
ejpam-4312	97	19	,	,	PUNCT
ejpam-4312	97	20	rn	rn	PROPN
ejpam-4312	97	21	and	and	CCONJ
ejpam-4312	97	22	ip	ip	VERB
ejpam-4312	97	23	at	at	ADP
ejpam-4312	97	24	the	the	DET
ejpam-4312	97	25	rates	rate	NOUN
ejpam-4312	97	26	(	(	PUNCT
ejpam-4312	97	27	1−p)ϕ	1−p)ϕ	NUM
ejpam-4312	97	28	,	,	PUNCT
ejpam-4312	97	29	δ	δ	PROPN
ejpam-4312	97	30	and	and	CCONJ
ejpam-4312	97	31	γ	γ	NOUN
ejpam-4312	97	32	respectively	respectively	ADV
ejpam-4312	97	33	,	,	PUNCT
ejpam-4312	97	34	where	where	SCONJ
ejpam-4312	97	35	the	the	DET
ejpam-4312	97	36	parameters	parameter	NOUN
ejpam-4312	97	37	have	have	AUX
ejpam-4312	97	38	been	be	AUX
ejpam-4312	97	39	defined	define	VERB
ejpam-4312	97	40	earlier	early	ADV
ejpam-4312	97	41	and	and	CCONJ
ejpam-4312	97	42	are	be	AUX
ejpam-4312	97	43	clearly	clearly	ADV
ejpam-4312	97	44	stated	state	VERB
ejpam-4312	97	45	in	in	ADP
ejpam-4312	97	46	table	table	NOUN
ejpam-4312	97	47	1	1	NUM
ejpam-4312	97	48	.	.	PUNCT
ejpam-4312	98	1	individuals	individual	NOUN
ejpam-4312	98	2	in	in	ADP
ejpam-4312	98	3	this	this	DET
ejpam-4312	98	4	class	class	NOUN
ejpam-4312	98	5	who	who	PRON
ejpam-4312	98	6	have	have	AUX
ejpam-4312	98	7	been	be	AUX
ejpam-4312	98	8	delivered	deliver	VERB
ejpam-4312	98	9	of	of	ADP
ejpam-4312	98	10	their	their	PRON
ejpam-4312	98	11	babies	baby	NOUN
ejpam-4312	98	12	join	join	VERB
ejpam-4312	98	13	the	the	DET
ejpam-4312	98	14	class	class	NOUN
ejpam-4312	98	15	rn	rn	NOUN
ejpam-4312	98	16	at	at	ADP
ejpam-4312	98	17	the	the	DET
ejpam-4312	98	18	rate	rate	NOUN
ejpam-4312	98	19	θ	θ	PROPN
ejpam-4312	98	20	.	.	PROPN
ejpam-4312	98	21	recovered	recover	VERB
ejpam-4312	98	22	pregnant	pregnant	ADJ
ejpam-4312	98	23	women	woman	NOUN
ejpam-4312	98	24	can	can	AUX
ejpam-4312	98	25	return	return	VERB
ejpam-4312	98	26	to	to	ADP
ejpam-4312	98	27	the	the	DET
ejpam-4312	98	28	susceptible	susceptible	ADJ
ejpam-4312	98	29	class	class	NOUN
ejpam-4312	98	30	sp	sp	NOUN
ejpam-4312	98	31	at	at	ADP
ejpam-4312	98	32	the	the	DET
ejpam-4312	98	33	rate	rate	NOUN
ejpam-4312	98	34	σ	σ	PROPN
ejpam-4312	98	35	,	,	PUNCT
ejpam-4312	98	36	due	due	ADP
ejpam-4312	98	37	to	to	ADP
ejpam-4312	98	38	loss	loss	NOUN
ejpam-4312	98	39	of	of	ADP
ejpam-4312	98	40	immunity	immunity	NOUN
ejpam-4312	98	41	.	.	PUNCT
ejpam-4312	99	1	natural	natural	ADJ
ejpam-4312	99	2	death	death	NOUN
ejpam-4312	99	3	also	also	ADV
ejpam-4312	99	4	occurs	occur	VERB
ejpam-4312	99	5	in	in	ADP
ejpam-4312	99	6	this	this	DET
ejpam-4312	99	7	compartment	compartment	NOUN
ejpam-4312	99	8	at	at	ADP
ejpam-4312	99	9	the	the	DET
ejpam-4312	99	10	rate	rate	NOUN
ejpam-4312	99	11	µ.	µ.	PROPN
ejpam-4312	99	12	drp	drp	PROPN
ejpam-4312	99	13	dt	dt	PROPN
ejpam-4312	100	1	=	=	PUNCT
ejpam-4312	101	1	(	(	PUNCT
ejpam-4312	101	2	1−	1−	NUM
ejpam-4312	101	3	p)ϕh	p)ϕh	NOUN
ejpam-4312	101	4	+	+	NUM
ejpam-4312	101	5	δrn	δrn	NOUN
ejpam-4312	101	6	+	+	CCONJ
ejpam-4312	101	7	γip	γip	X
ejpam-4312	102	1	−	−	PROPN
ejpam-4312	103	1	(	(	PUNCT
ejpam-4312	103	2	θ	θ	PROPN
ejpam-4312	103	3	+	+	PUNCT
ejpam-4312	103	4	µ+	µ+	PROPN
ejpam-4312	103	5	σ)rp	σ)rp	PROPN
ejpam-4312	103	6	.	.	PUNCT
ejpam-4312	104	1	(	(	PUNCT
ejpam-4312	104	2	8)	8)	NUM
ejpam-4312	104	3	j.	j.	PROPN
ejpam-4312	104	4	tsetimi	tsetimi	PROPN
ejpam-4312	104	5	,	,	PUNCT
ejpam-4312	104	6	m.	m.	NOUN
ejpam-4312	104	7	i.	i.	PROPN
ejpam-4312	104	8	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	104	9	,	,	PUNCT
ejpam-4312	104	10	a.	a.	PROPN
ejpam-4312	104	11	atonuje	atonuje	PROPN
ejpam-4312	104	12	/	/	SYM
ejpam-4312	104	13	eur	eur	PROPN
ejpam-4312	104	14	.	.	PUNCT
ejpam-4312	105	1	j.	j.	PROPN
ejpam-4312	105	2	pure	pure	PROPN
ejpam-4312	105	3	appl	appl	PROPN
ejpam-4312	105	4	.	.	PROPN
ejpam-4312	105	5	math	math	PROPN
ejpam-4312	105	6	,	,	PUNCT
ejpam-4312	105	7	15	15	NUM
ejpam-4312	105	8	(	(	PUNCT
ejpam-4312	105	9	2	2	NUM
ejpam-4312	105	10	)	)	PUNCT
ejpam-4312	105	11	(	(	PUNCT
ejpam-4312	105	12	2022	2022	NUM
ejpam-4312	105	13	)	)	PUNCT
ejpam-4312	105	14	,	,	PUNCT
ejpam-4312	105	15	537	537	NUM
ejpam-4312	105	16	-	-	SYM
ejpam-4312	105	17	556	556	NUM
ejpam-4312	105	18	542	542	NUM
ejpam-4312	105	19	thus	thus	ADV
ejpam-4312	105	20	the	the	DET
ejpam-4312	105	21	mathematical	mathematical	ADJ
ejpam-4312	105	22	model	model	NOUN
ejpam-4312	105	23	is	be	AUX
ejpam-4312	105	24	given	give	VERB
ejpam-4312	105	25	as:	as:	NUM
ejpam-4312	105	26	dsn	dsn	NOUN
ejpam-4312	105	27	dt	dt	NOUN
ejpam-4312	105	28	=	=	SYM
ejpam-4312	105	29	λ++θsp	λ++θsp	PROPN
ejpam-4312	105	30	+	+	PROPN
ejpam-4312	105	31	ψrn	ψrn	NOUN
ejpam-4312	105	32	−	−	PROPN
ejpam-4312	105	33	(	(	PUNCT
ejpam-4312	105	34	δ	δ	PROPN
ejpam-4312	105	35	+	+	NUM
ejpam-4312	105	36	µ+	µ+	DET
ejpam-4312	105	37	χ)sn	χ)sn	PROPN
ejpam-4312	105	38	din	din	NOUN
ejpam-4312	105	39	dt	dt	NOUN
ejpam-4312	105	40	=	=	PRON
ejpam-4312	105	41	χsn	χsn	PROPN
ejpam-4312	105	42	+	+	CCONJ
ejpam-4312	105	43	θip	θip	NOUN
ejpam-4312	105	44	−	−	PROPN
ejpam-4312	105	45	(	(	PUNCT
ejpam-4312	105	46	δ	δ	PROPN
ejpam-4312	105	47	+	+	CCONJ
ejpam-4312	105	48	ε+	ε+	X
ejpam-4312	105	49	η	η	PROPN
ejpam-4312	105	50	+	+	PROPN
ejpam-4312	105	51	µ+	µ+	PROPN
ejpam-4312	105	52	ς)in	ς)in	PROPN
ejpam-4312	105	53	drn	drn	NOUN
ejpam-4312	105	54	dt	dt	NOUN
ejpam-4312	106	1	=	=	PUNCT
ejpam-4312	106	2	ηin	ηin	PROPN
ejpam-4312	106	3	+	+	CCONJ
ejpam-4312	106	4	θrp	θrp	ADJ
ejpam-4312	106	5	+	+	CCONJ
ejpam-4312	106	6	pϕh	pϕh	NOUN
ejpam-4312	106	7	−	−	PROPN
ejpam-4312	106	8	(	(	PUNCT
ejpam-4312	106	9	δ	δ	PROPN
ejpam-4312	106	10	+	+	X
ejpam-4312	107	1	µ+ψ)rn	µ+ψ)rn	ADV
ejpam-4312	107	2	dh	dh	NOUN
ejpam-4312	107	3	dt	dt	X
ejpam-4312	107	4	=	=	SYM
ejpam-4312	107	5	εin	εin	PROPN
ejpam-4312	107	6	+	+	CCONJ
ejpam-4312	107	7	αip	αip	PROPN
ejpam-4312	107	8	−	−	PROPN
ejpam-4312	107	9	(	(	PUNCT
ejpam-4312	107	10	µ+	µ+	X
ejpam-4312	107	11	ς	ς	PROPN
ejpam-4312	107	12	+	+	CCONJ
ejpam-4312	107	13	ϕ)h	ϕ)h	NOUN
ejpam-4312	107	14	dsp	dsp	NOUN
ejpam-4312	108	1	dt	dt	NOUN
ejpam-4312	108	2	=	=	PUNCT
ejpam-4312	108	3	π+	π+	PUNCT
ejpam-4312	108	4	δsn	δsn	X
ejpam-4312	108	5	+	+	X
ejpam-4312	108	6	σrp	σrp	ADJ
ejpam-4312	108	7	−	−	PROPN
ejpam-4312	108	8	(	(	PUNCT
ejpam-4312	108	9	βχ+	βχ+	VERB
ejpam-4312	108	10	θ	θ	PROPN
ejpam-4312	108	11	+	+	PUNCT
ejpam-4312	108	12	µ)sp	µ)sp	PROPN
ejpam-4312	108	13	dip	dip	NOUN
ejpam-4312	108	14	dt	dt	NOUN
ejpam-4312	108	15	=	=	PUNCT
ejpam-4312	109	1	βχsp	βχsp	PROPN
ejpam-4312	109	2	+	+	NUM
ejpam-4312	109	3	δin	δin	ADJ
ejpam-4312	109	4	−	−	PROPN
ejpam-4312	109	5	(	(	PUNCT
ejpam-4312	109	6	α+	α+	NOUN
ejpam-4312	109	7	γ	γ	X
ejpam-4312	109	8	+	+	NOUN
ejpam-4312	109	9	θ	θ	PROPN
ejpam-4312	109	10	+	+	PUNCT
ejpam-4312	109	11	µ+	µ+	PROPN
ejpam-4312	109	12	ς)ip	ς)ip	PROPN
ejpam-4312	109	13	drp	drp	NOUN
ejpam-4312	109	14	dt	dt	NOUN
ejpam-4312	109	15	=	=	PUNCT
ejpam-4312	109	16	(	(	PUNCT
ejpam-4312	109	17	1−	1−	NUM
ejpam-4312	109	18	p)ϕh	p)ϕh	NOUN
ejpam-4312	109	19	+	+	NUM
ejpam-4312	109	20	δrn	δrn	NOUN
ejpam-4312	109	21	+	+	CCONJ
ejpam-4312	109	22	γip	γip	X
ejpam-4312	109	23	−	−	PROPN
ejpam-4312	109	24	(	(	PUNCT
ejpam-4312	109	25	θ	θ	PROPN
ejpam-4312	109	26	+	+	PUNCT
ejpam-4312	109	27	µ+	µ+	PROPN
ejpam-4312	109	28	σ)rp	σ)rp	PROPN
ejpam-4312	109	29	χ	χ	NOUN
ejpam-4312	109	30	=	=	SYM
ejpam-4312	109	31	k(1−$	k(1−$	X
ejpam-4312	109	32	)	)	PUNCT
ejpam-4312	109	33	in+%ip+ιh	in+%ip+ιh	NOUN
ejpam-4312	109	34	n	n	DET
ejpam-4312	109	35	n(t	n(t	NUM
ejpam-4312	109	36	)	)	PUNCT
ejpam-4312	109	37	=	=	SYM
ejpam-4312	109	38	sn(t	sn(t	X
ejpam-4312	109	39	)	)	PUNCT
ejpam-4312	109	40	+	+	NUM
ejpam-4312	109	41	in(t	in(t	NOUN
ejpam-4312	109	42	)	)	PUNCT
ejpam-4312	110	1	+	+	ADP
ejpam-4312	110	2	rn(t	rn(t	X
ejpam-4312	110	3	)	)	PUNCT
ejpam-4312	111	1	+	+	VERB
ejpam-4312	111	2	h(t	h(t	X
ejpam-4312	111	3	)	)	PUNCT
ejpam-4312	111	4	+	+	CCONJ
ejpam-4312	111	5	sp(t	sp(t	X
ejpam-4312	111	6	)	)	PUNCT
ejpam-4312	111	7	+	+	NUM
ejpam-4312	111	8	ip(t	ip(t	NOUN
ejpam-4312	111	9	)	)	PUNCT
ejpam-4312	111	10	+	+	NOUN
ejpam-4312	111	11	rp(t	rp(t	NOUN
ejpam-4312	111	12	)	)	PUNCT
ejpam-4312	111	13	(	(	PUNCT
ejpam-4312	111	14	9	9	X
ejpam-4312	111	15	)	)	PUNCT
ejpam-4312	111	16	the	the	DET
ejpam-4312	111	17	schematic	schematic	ADJ
ejpam-4312	111	18	diagram	diagram	NOUN
ejpam-4312	111	19	is	be	AUX
ejpam-4312	111	20	shown	show	VERB
ejpam-4312	111	21	in	in	ADP
ejpam-4312	111	22	figure	figure	NOUN
ejpam-4312	111	23	1	1	NUM
ejpam-4312	111	24	,	,	PUNCT
ejpam-4312	111	25	while	while	SCONJ
ejpam-4312	111	26	the	the	DET
ejpam-4312	111	27	description	description	NOUN
ejpam-4312	111	28	of	of	ADP
ejpam-4312	111	29	state	state	NOUN
ejpam-4312	111	30	variables	variable	NOUN
ejpam-4312	111	31	and	and	CCONJ
ejpam-4312	111	32	parameters	parameter	NOUN
ejpam-4312	111	33	are	be	AUX
ejpam-4312	111	34	given	give	VERB
ejpam-4312	111	35	in	in	ADP
ejpam-4312	111	36	table	table	NOUN
ejpam-4312	111	37	1	1	NUM
ejpam-4312	111	38	.	.	PUNCT
ejpam-4312	112	1	figure	figure	NOUN
ejpam-4312	112	2	1	1	NUM
ejpam-4312	112	3	:	:	PUNCT
ejpam-4312	112	4	schematic	schematic	ADJ
ejpam-4312	112	5	diagram	diagram	NOUN
ejpam-4312	112	6	j.	j.	PROPN
ejpam-4312	112	7	tsetimi	tsetimi	PROPN
ejpam-4312	112	8	,	,	PUNCT
ejpam-4312	112	9	m.	m.	NOUN
ejpam-4312	112	10	i.	i.	PROPN
ejpam-4312	112	11	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	112	12	,	,	PUNCT
ejpam-4312	112	13	a.	a.	PROPN
ejpam-4312	112	14	atonuje	atonuje	PROPN
ejpam-4312	112	15	/	/	SYM
ejpam-4312	112	16	eur	eur	PROPN
ejpam-4312	112	17	.	.	PUNCT
ejpam-4312	113	1	j.	j.	PROPN
ejpam-4312	113	2	pure	pure	PROPN
ejpam-4312	113	3	appl	appl	PROPN
ejpam-4312	113	4	.	.	PROPN
ejpam-4312	113	5	math	math	PROPN
ejpam-4312	113	6	,	,	PUNCT
ejpam-4312	113	7	15	15	NUM
ejpam-4312	113	8	(	(	PUNCT
ejpam-4312	113	9	2	2	NUM
ejpam-4312	113	10	)	)	PUNCT
ejpam-4312	113	11	(	(	PUNCT
ejpam-4312	113	12	2022	2022	NUM
ejpam-4312	113	13	)	)	PUNCT
ejpam-4312	113	14	,	,	PUNCT
ejpam-4312	113	15	537	537	NUM
ejpam-4312	113	16	-	-	SYM
ejpam-4312	113	17	556	556	NUM
ejpam-4312	113	18	543	543	NUM
ejpam-4312	113	19	table	table	NOUN
ejpam-4312	113	20	1	1	NUM
ejpam-4312	113	21	:	:	PUNCT
ejpam-4312	113	22	variables	variable	NOUN
ejpam-4312	113	23	and	and	CCONJ
ejpam-4312	113	24	parameters	parameter	NOUN
ejpam-4312	113	25	description	description	NOUN
ejpam-4312	113	26	variables/	variables/	NUM
ejpam-4312	113	27	parameters	parameter	NOUN
ejpam-4312	113	28	descriptions	description	NOUN
ejpam-4312	113	29	sn	sn	X
ejpam-4312	113	30	susceptible	susceptible	ADJ
ejpam-4312	113	31	class	class	NOUN
ejpam-4312	113	32	for	for	ADP
ejpam-4312	113	33	non	non	ADJ
ejpam-4312	113	34	-	-	ADJ
ejpam-4312	113	35	pregnant	pregnant	ADJ
ejpam-4312	113	36	women	woman	NOUN
ejpam-4312	113	37	in	in	ADP
ejpam-4312	113	38	infectious	infectious	ADJ
ejpam-4312	113	39	class	class	NOUN
ejpam-4312	113	40	for	for	ADP
ejpam-4312	113	41	non	non	ADJ
ejpam-4312	113	42	-	-	ADJ
ejpam-4312	113	43	pregnant	pregnant	ADJ
ejpam-4312	113	44	women	woman	NOUN
ejpam-4312	113	45	rn	rn	PROPN
ejpam-4312	113	46	recovered	recover	VERB
ejpam-4312	113	47	class	class	NOUN
ejpam-4312	113	48	for	for	ADP
ejpam-4312	113	49	non	non	ADJ
ejpam-4312	113	50	-	-	ADJ
ejpam-4312	113	51	pregnant	pregnant	ADJ
ejpam-4312	113	52	women	woman	NOUN
ejpam-4312	113	53	h	h	PROPN
ejpam-4312	113	54	class	class	NOUN
ejpam-4312	113	55	of	of	ADP
ejpam-4312	113	56	hospitalised	hospitalise	VERB
ejpam-4312	113	57	individuals	individual	NOUN
ejpam-4312	113	58	sp	sp	ADP
ejpam-4312	113	59	class	class	NOUN
ejpam-4312	113	60	of	of	ADP
ejpam-4312	113	61	susceptible	susceptible	ADJ
ejpam-4312	113	62	pregnant	pregnant	ADJ
ejpam-4312	113	63	women	woman	NOUN
ejpam-4312	113	64	ip	ip	NOUN
ejpam-4312	113	65	class	class	NOUN
ejpam-4312	113	66	of	of	ADP
ejpam-4312	113	67	infectious	infectious	ADJ
ejpam-4312	113	68	pregnant	pregnant	ADJ
ejpam-4312	113	69	women	woman	NOUN
ejpam-4312	113	70	rp	rp	NOUN
ejpam-4312	113	71	class	class	NOUN
ejpam-4312	113	72	of	of	ADP
ejpam-4312	113	73	recovered	recover	VERB
ejpam-4312	113	74	pregnant	pregnant	ADJ
ejpam-4312	113	75	women	woman	NOUN
ejpam-4312	113	76	λ	λ	PROPN
ejpam-4312	113	77	recruitment	recruitment	NOUN
ejpam-4312	113	78	rate	rate	NOUN
ejpam-4312	113	79	into	into	ADP
ejpam-4312	113	80	the	the	DET
ejpam-4312	113	81	susceptible	susceptible	ADJ
ejpam-4312	113	82	class	class	NOUN
ejpam-4312	113	83	for	for	ADP
ejpam-4312	113	84	non	non	ADJ
ejpam-4312	113	85	-	-	ADJ
ejpam-4312	113	86	pregnant	pregnant	ADJ
ejpam-4312	113	87	women	woman	NOUN
ejpam-4312	113	88	π	π	PROPN
ejpam-4312	113	89	recruitment	recruitment	NOUN
ejpam-4312	113	90	rate	rate	NOUN
ejpam-4312	113	91	into	into	ADP
ejpam-4312	113	92	the	the	DET
ejpam-4312	113	93	susceptible	susceptible	ADJ
ejpam-4312	113	94	class	class	NOUN
ejpam-4312	113	95	for	for	ADP
ejpam-4312	113	96	pregnant	pregnant	ADJ
ejpam-4312	113	97	women	woman	NOUN
ejpam-4312	113	98	χ	χ	DET
ejpam-4312	113	99	force	force	NOUN
ejpam-4312	113	100	of	of	ADP
ejpam-4312	113	101	infection	infection	NOUN
ejpam-4312	113	102	κ	κ	ADP
ejpam-4312	113	103	effective	effective	ADJ
ejpam-4312	113	104	contact	contact	NOUN
ejpam-4312	113	105	rate	rate	NOUN
ejpam-4312	113	106	for	for	ADP
ejpam-4312	113	107	covid-19	covid-19	PROPN
ejpam-4312	113	108	transmission	transmission	NOUN
ejpam-4312	114	1	$	$	SYM
ejpam-4312	114	2	rate	rate	NOUN
ejpam-4312	114	3	of	of	ADP
ejpam-4312	114	4	adherence	adherence	NOUN
ejpam-4312	114	5	of	of	ADP
ejpam-4312	114	6	individuals	individual	NOUN
ejpam-4312	114	7	to	to	ADP
ejpam-4312	114	8	government	government	NOUN
ejpam-4312	114	9	’s	’s	PART
ejpam-4312	114	10	regulations	regulation	NOUN
ejpam-4312	114	11	like	like	ADP
ejpam-4312	114	12	the	the	DET
ejpam-4312	114	13	compulsory	compulsory	NOUN
ejpam-4312	114	14	wearing	wear	VERB
ejpam-4312	114	15	of	of	ADP
ejpam-4312	114	16	good	good	ADJ
ejpam-4312	114	17	nose	nose	NOUN
ejpam-4312	114	18	masks	mask	NOUN
ejpam-4312	114	19	,	,	PUNCT
ejpam-4312	114	20	washing	washing	NOUN
ejpam-4312	114	21	of	of	ADP
ejpam-4312	114	22	hands	hand	NOUN
ejpam-4312	114	23	,	,	PUNCT
ejpam-4312	114	24	social	social	ADJ
ejpam-4312	114	25	distancing	distancing	NOUN
ejpam-4312	114	26	,	,	PUNCT
ejpam-4312	114	27	etc	etc	X
ejpam-4312	114	28	.	.	X
ejpam-4312	114	29	β	β	X
ejpam-4312	114	30	modification	modification	NOUN
ejpam-4312	114	31	parameter	parameter	NOUN
ejpam-4312	114	32	accounting	account	VERB
ejpam-4312	114	33	for	for	ADP
ejpam-4312	114	34	increased	increase	VERB
ejpam-4312	114	35	susceptibility	susceptibility	NOUN
ejpam-4312	114	36	to	to	ADP
ejpam-4312	114	37	covid-19	covid-19	PROPN
ejpam-4312	114	38	infection	infection	NOUN
ejpam-4312	114	39	by	by	ADP
ejpam-4312	114	40	pregnant	pregnant	ADJ
ejpam-4312	114	41	women	woman	NOUN
ejpam-4312	114	42	µ	µ	PRON
ejpam-4312	114	43	natural	natural	ADJ
ejpam-4312	114	44	death	death	NOUN
ejpam-4312	114	45	rate	rate	NOUN
ejpam-4312	114	46	ς	ς	PROPN
ejpam-4312	114	47	disease	disease	NOUN
ejpam-4312	114	48	-	-	PUNCT
ejpam-4312	114	49	induced	induce	VERB
ejpam-4312	114	50	death	death	NOUN
ejpam-4312	114	51	rate	rate	NOUN
ejpam-4312	114	52	ε	ε	PROPN
ejpam-4312	114	53	rate	rate	NOUN
ejpam-4312	114	54	at	at	ADP
ejpam-4312	114	55	which	which	PRON
ejpam-4312	114	56	infectious	infectious	ADJ
ejpam-4312	114	57	non	non	ADJ
ejpam-4312	114	58	-	-	ADJ
ejpam-4312	114	59	pregnant	pregnant	ADJ
ejpam-4312	114	60	women	woman	NOUN
ejpam-4312	114	61	move	move	VERB
ejpam-4312	114	62	into	into	ADP
ejpam-4312	114	63	the	the	DET
ejpam-4312	114	64	hospitalised	hospitalise	VERB
ejpam-4312	114	65	class	class	NOUN
ejpam-4312	114	66	α	α	NOUN
ejpam-4312	114	67	rate	rate	NOUN
ejpam-4312	114	68	at	at	ADP
ejpam-4312	114	69	which	which	PRON
ejpam-4312	114	70	infectious	infectious	ADJ
ejpam-4312	114	71	pregnant	pregnant	ADJ
ejpam-4312	114	72	women	woman	NOUN
ejpam-4312	114	73	move	move	VERB
ejpam-4312	114	74	into	into	ADP
ejpam-4312	114	75	the	the	DET
ejpam-4312	114	76	class	class	NOUN
ejpam-4312	114	77	of	of	ADP
ejpam-4312	114	78	hospitalised	hospitalise	VERB
ejpam-4312	114	79	individuals	individual	NOUN
ejpam-4312	114	80	η	η	PROPN
ejpam-4312	114	81	recovery	recovery	NOUN
ejpam-4312	114	82	rate	rate	NOUN
ejpam-4312	114	83	of	of	ADP
ejpam-4312	114	84	non	non	ADJ
ejpam-4312	114	85	-	-	ADJ
ejpam-4312	114	86	pregnant	pregnant	ADJ
ejpam-4312	114	87	infectious	infectious	ADJ
ejpam-4312	114	88	individuals	individual	NOUN
ejpam-4312	114	89	γ	γ	X
ejpam-4312	114	90	recovery	recovery	NOUN
ejpam-4312	114	91	rate	rate	NOUN
ejpam-4312	114	92	of	of	ADP
ejpam-4312	114	93	infectious	infectious	ADJ
ejpam-4312	114	94	pregnant	pregnant	ADJ
ejpam-4312	114	95	women	woman	NOUN
ejpam-4312	114	96	ϕ	ϕ	PROPN
ejpam-4312	114	97	recovery	recovery	NOUN
ejpam-4312	114	98	rate	rate	NOUN
ejpam-4312	114	99	of	of	ADP
ejpam-4312	114	100	hospitalised	hospitalise	VERB
ejpam-4312	114	101	individuals	individual	NOUN
ejpam-4312	114	102	p	p	NOUN
ejpam-4312	114	103	proportion	proportion	NOUN
ejpam-4312	114	104	of	of	ADP
ejpam-4312	114	105	hospitalised	hospitalise	VERB
ejpam-4312	114	106	individuals	individual	NOUN
ejpam-4312	114	107	who	who	PRON
ejpam-4312	114	108	recover	recover	VERB
ejpam-4312	114	109	from	from	ADP
ejpam-4312	114	110	the	the	DET
ejpam-4312	114	111	disease	disease	NOUN
ejpam-4312	114	112	but	but	CCONJ
ejpam-4312	114	113	are	be	AUX
ejpam-4312	114	114	not	not	PART
ejpam-4312	114	115	pregnant	pregnant	ADJ
ejpam-4312	114	116	ψ	ψ	NOUN
ejpam-4312	114	117	rate	rate	NOUN
ejpam-4312	114	118	at	at	ADP
ejpam-4312	114	119	which	which	PRON
ejpam-4312	114	120	recovered	recover	VERB
ejpam-4312	114	121	non	non	ADJ
ejpam-4312	114	122	-	-	ADJ
ejpam-4312	114	123	pregnant	pregnant	ADJ
ejpam-4312	114	124	women	woman	NOUN
ejpam-4312	114	125	become	become	VERB
ejpam-4312	114	126	susceptible	susceptible	ADJ
ejpam-4312	114	127	σ	σ	NOUN
ejpam-4312	114	128	rate	rate	NOUN
ejpam-4312	114	129	at	at	ADP
ejpam-4312	114	130	which	which	PRON
ejpam-4312	114	131	pregnant	pregnant	ADJ
ejpam-4312	114	132	women	woman	NOUN
ejpam-4312	114	133	who	who	PRON
ejpam-4312	114	134	have	have	AUX
ejpam-4312	114	135	recovered	recover	VERB
ejpam-4312	114	136	from	from	ADP
ejpam-4312	114	137	the	the	DET
ejpam-4312	114	138	covid-19	covid-19	PROPN
ejpam-4312	114	139	infection	infection	NOUN
ejpam-4312	114	140	move	move	NOUN
ejpam-4312	114	141	into	into	ADP
ejpam-4312	114	142	the	the	DET
ejpam-4312	114	143	susceptible	susceptible	ADJ
ejpam-4312	114	144	class	class	NOUN
ejpam-4312	114	145	δ	δ	PROPN
ejpam-4312	114	146	conception	conception	NOUN
ejpam-4312	114	147	rate	rate	NOUN
ejpam-4312	114	148	θ	θ	PROPN
ejpam-4312	114	149	delivery	delivery	NOUN
ejpam-4312	114	150	rate	rate	NOUN
ejpam-4312	114	151	ι	ι	DET
ejpam-4312	114	152	transmission	transmission	NOUN
ejpam-4312	114	153	coefficient	coefficient	NOUN
ejpam-4312	114	154	of	of	ADP
ejpam-4312	114	155	the	the	DET
ejpam-4312	114	156	hospitalised	hospitalise	VERB
ejpam-4312	114	157	class	class	NOUN
ejpam-4312	114	158	%	%	NOUN
ejpam-4312	114	159	transmission	transmission	NOUN
ejpam-4312	114	160	coefficient	coefficient	NOUN
ejpam-4312	114	161	of	of	ADP
ejpam-4312	114	162	the	the	DET
ejpam-4312	114	163	class	class	NOUN
ejpam-4312	114	164	of	of	ADP
ejpam-4312	114	165	infectious	infectious	ADJ
ejpam-4312	114	166	pregnant	pregnant	ADJ
ejpam-4312	114	167	women	woman	NOUN
ejpam-4312	114	168	ζ	ζ	NOUN
ejpam-4312	114	169	transmission	transmission	NOUN
ejpam-4312	114	170	coefficient	coefficient	NOUN
ejpam-4312	114	171	of	of	ADP
ejpam-4312	114	172	the	the	DET
ejpam-4312	114	173	class	class	NOUN
ejpam-4312	114	174	of	of	ADP
ejpam-4312	114	175	infectious	infectious	ADJ
ejpam-4312	114	176	non	non	ADJ
ejpam-4312	114	177	-	-	ADJ
ejpam-4312	114	178	pregnant	pregnant	ADJ
ejpam-4312	114	179	mothers	mother	NOUN
ejpam-4312	114	180	3	3	NUM
ejpam-4312	114	181	.	.	PUNCT
ejpam-4312	114	182	basic	basic	ADJ
ejpam-4312	114	183	analysis	analysis	NOUN
ejpam-4312	114	184	of	of	ADP
ejpam-4312	114	185	the	the	DET
ejpam-4312	114	186	model	model	NOUN
ejpam-4312	114	187	in	in	ADP
ejpam-4312	114	188	order	order	NOUN
ejpam-4312	114	189	to	to	PART
ejpam-4312	114	190	establish	establish	VERB
ejpam-4312	114	191	the	the	DET
ejpam-4312	114	192	relevance	relevance	NOUN
ejpam-4312	114	193	of	of	ADP
ejpam-4312	114	194	the	the	DET
ejpam-4312	114	195	disease	disease	NOUN
ejpam-4312	114	196	model	model	NOUN
ejpam-4312	114	197	(	(	PUNCT
ejpam-4312	114	198	9	9	NUM
ejpam-4312	114	199	)	)	PUNCT
ejpam-4312	114	200	,	,	PUNCT
ejpam-4312	114	201	we	we	PRON
ejpam-4312	114	202	shall	shall	AUX
ejpam-4312	114	203	perform	perform	VERB
ejpam-4312	114	204	some	some	DET
ejpam-4312	114	205	basic	basic	ADJ
ejpam-4312	114	206	analyses	analysis	NOUN
ejpam-4312	114	207	such	such	ADJ
ejpam-4312	114	208	as	as	ADP
ejpam-4312	114	209	existence	existence	NOUN
ejpam-4312	114	210	of	of	ADP
ejpam-4312	114	211	the	the	DET
ejpam-4312	114	212	invariant	invariant	ADJ
ejpam-4312	114	213	region	region	NOUN
ejpam-4312	114	214	and	and	CCONJ
ejpam-4312	114	215	positivity	positivity	NOUN
ejpam-4312	114	216	of	of	ADP
ejpam-4312	114	217	solutions	solution	NOUN
ejpam-4312	114	218	,	,	PUNCT
ejpam-4312	114	219	disease	disease	NOUN
ejpam-4312	114	220	-	-	PUNCT
ejpam-4312	114	221	free	free	ADJ
ejpam-4312	114	222	j.	j.	PROPN
ejpam-4312	114	223	tsetimi	tsetimi	PROPN
ejpam-4312	114	224	,	,	PUNCT
ejpam-4312	114	225	m.	m.	NOUN
ejpam-4312	114	226	i.	i.	PROPN
ejpam-4312	114	227	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	114	228	,	,	PUNCT
ejpam-4312	114	229	a.	a.	PROPN
ejpam-4312	114	230	atonuje	atonuje	PROPN
ejpam-4312	114	231	/	/	SYM
ejpam-4312	114	232	eur	eur	PROPN
ejpam-4312	114	233	.	.	PUNCT
ejpam-4312	115	1	j.	j.	PROPN
ejpam-4312	115	2	pure	pure	PROPN
ejpam-4312	115	3	appl	appl	PROPN
ejpam-4312	115	4	.	.	PROPN
ejpam-4312	115	5	math	math	PROPN
ejpam-4312	115	6	,	,	PUNCT
ejpam-4312	115	7	15	15	NUM
ejpam-4312	115	8	(	(	PUNCT
ejpam-4312	115	9	2	2	NUM
ejpam-4312	115	10	)	)	PUNCT
ejpam-4312	115	11	(	(	PUNCT
ejpam-4312	115	12	2022	2022	NUM
ejpam-4312	115	13	)	)	PUNCT
ejpam-4312	115	14	,	,	PUNCT
ejpam-4312	115	15	537	537	NUM
ejpam-4312	115	16	-	-	SYM
ejpam-4312	115	17	556	556	NUM
ejpam-4312	115	18	544	544	NUM
ejpam-4312	115	19	equilibrium	equilibrium	NOUN
ejpam-4312	115	20	,	,	PUNCT
ejpam-4312	115	21	disease	disease	NOUN
ejpam-4312	115	22	-	-	PUNCT
ejpam-4312	115	23	endemic	endemic	ADJ
ejpam-4312	115	24	equilibrium	equilibrium	NOUN
ejpam-4312	115	25	and	and	CCONJ
ejpam-4312	115	26	basic	basic	ADJ
ejpam-4312	115	27	reproduction	reproduction	NOUN
ejpam-4312	115	28	number	number	NOUN
ejpam-4312	115	29	.	.	PUNCT
ejpam-4312	116	1	3.1	3.1	NUM
ejpam-4312	116	2	.	.	PUNCT
ejpam-4312	116	3	invariant	invariant	PROPN
ejpam-4312	116	4	region	region	NOUN
ejpam-4312	116	5	&	&	CCONJ
ejpam-4312	116	6	positivity	positivity	NOUN
ejpam-4312	116	7	of	of	ADP
ejpam-4312	116	8	solutions	solution	NOUN
ejpam-4312	116	9	consider	consider	VERB
ejpam-4312	116	10	the	the	DET
ejpam-4312	116	11	total	total	ADJ
ejpam-4312	116	12	population	population	NOUN
ejpam-4312	116	13	n	n	CCONJ
ejpam-4312	116	14	at	at	ADP
ejpam-4312	116	15	time	time	NOUN
ejpam-4312	116	16	t	t	PROPN
ejpam-4312	116	17	is	be	AUX
ejpam-4312	116	18	given	give	VERB
ejpam-4312	116	19	by	by	ADP
ejpam-4312	116	20	n(t	n(t	PROPN
ejpam-4312	116	21	)	)	PUNCT
ejpam-4312	116	22	=	=	SYM
ejpam-4312	116	23	sn(t	sn(t	X
ejpam-4312	116	24	)	)	PUNCT
ejpam-4312	116	25	+	+	NUM
ejpam-4312	116	26	in(t	in(t	NOUN
ejpam-4312	116	27	)	)	PUNCT
ejpam-4312	117	1	+	+	ADP
ejpam-4312	117	2	rn(t	rn(t	X
ejpam-4312	117	3	)	)	PUNCT
ejpam-4312	118	1	+	+	VERB
ejpam-4312	118	2	h(t	h(t	X
ejpam-4312	118	3	)	)	PUNCT
ejpam-4312	118	4	+	+	CCONJ
ejpam-4312	118	5	sp(t	sp(t	X
ejpam-4312	118	6	)	)	PUNCT
ejpam-4312	118	7	+	+	NUM
ejpam-4312	118	8	ip(t	ip(t	NOUN
ejpam-4312	118	9	)	)	PUNCT
ejpam-4312	119	1	+	+	NOUN
ejpam-4312	119	2	rp(t	rp(t	NOUN
ejpam-4312	119	3	)	)	PUNCT
ejpam-4312	119	4	.	.	PUNCT
ejpam-4312	120	1	we	we	PRON
ejpam-4312	120	2	want	want	VERB
ejpam-4312	120	3	to	to	PART
ejpam-4312	120	4	establish	establish	VERB
ejpam-4312	120	5	that	that	SCONJ
ejpam-4312	120	6	the	the	DET
ejpam-4312	120	7	total	total	ADJ
ejpam-4312	120	8	population	population	NOUN
ejpam-4312	120	9	is	be	AUX
ejpam-4312	120	10	bounded	bound	VERB
ejpam-4312	120	11	for	for	ADP
ejpam-4312	120	12	infinite	infinite	ADJ
ejpam-4312	120	13	time	time	NOUN
ejpam-4312	120	14	t.	t.	NOUN
ejpam-4312	120	15	theorem	theorem	NOUN
ejpam-4312	120	16	1	1	NUM
ejpam-4312	120	17	.	.	PUNCT
ejpam-4312	121	1	the	the	DET
ejpam-4312	121	2	set	set	NOUN
ejpam-4312	121	3	γ	γ	X
ejpam-4312	121	4	=	=	SYM
ejpam-4312	121	5	{	{	PUNCT
ejpam-4312	121	6	(	(	PUNCT
ejpam-4312	121	7	sn	sn	INTJ
ejpam-4312	121	8	,	,	PUNCT
ejpam-4312	121	9	in	in	ADP
ejpam-4312	121	10	,	,	PUNCT
ejpam-4312	121	11	rn	rn	PROPN
ejpam-4312	121	12	,	,	PUNCT
ejpam-4312	121	13	h	h	NOUN
ejpam-4312	121	14	,	,	PUNCT
ejpam-4312	121	15	sp	sp	NOUN
ejpam-4312	121	16	,	,	PUNCT
ejpam-4312	121	17	ip	ip	NOUN
ejpam-4312	121	18	,	,	PUNCT
ejpam-4312	121	19	rp	rp	NOUN
ejpam-4312	121	20	)	)	PUNCT
ejpam-4312	121	21	∈	∈	PROPN
ejpam-4312	121	22	r7	r7	NOUN
ejpam-4312	121	23	+	+	CCONJ
ejpam-4312	121	24	:	:	SYM
ejpam-4312	121	25	0	0	NUM
ejpam-4312	121	26	≤	≤	NUM
ejpam-4312	121	27	sn	sn	PROPN
ejpam-4312	121	28	+	+	CCONJ
ejpam-4312	121	29	inh	inh	PROPN
ejpam-4312	122	1	+	+	PROPN
ejpam-4312	122	2	+	+	PROPN
ejpam-4312	122	3	rn	rn	PROPN
ejpam-4312	122	4	+	+	NOUN
ejpam-4312	122	5	rp	rp	NOUN
ejpam-4312	122	6	+	+	CCONJ
ejpam-4312	122	7	sp	sp	ADP
ejpam-4312	122	8	+	+	NOUN
ejpam-4312	122	9	ip	ip	NOUN
ejpam-4312	122	10	=	=	SYM
ejpam-4312	122	11	n	n	CCONJ
ejpam-4312	122	12	≤	≤	NUM
ejpam-4312	122	13	λ	λ	X
ejpam-4312	122	14	µ	µ	X
ejpam-4312	122	15	+	+	X
ejpam-4312	122	16	π	π	PROPN
ejpam-4312	122	17	µ	µ	X
ejpam-4312	122	18	}	}	PUNCT
ejpam-4312	122	19	,	,	PUNCT
ejpam-4312	122	20	is	be	AUX
ejpam-4312	122	21	positively	positively	ADV
ejpam-4312	122	22	-	-	PUNCT
ejpam-4312	122	23	invariant	invariant	ADJ
ejpam-4312	122	24	for	for	ADP
ejpam-4312	122	25	the	the	DET
ejpam-4312	122	26	model	model	NOUN
ejpam-4312	122	27	9	9	NUM
ejpam-4312	122	28	.	.	PUNCT
ejpam-4312	122	29	proof	proof	NOUN
ejpam-4312	122	30	.	.	PUNCT
ejpam-4312	123	1	since	since	SCONJ
ejpam-4312	123	2	the	the	DET
ejpam-4312	123	3	total	total	ADJ
ejpam-4312	123	4	population	population	NOUN
ejpam-4312	123	5	n	n	CCONJ
ejpam-4312	123	6	at	at	ADP
ejpam-4312	123	7	time	time	NOUN
ejpam-4312	123	8	t	t	PROPN
ejpam-4312	123	9	is	be	AUX
ejpam-4312	123	10	given	give	VERB
ejpam-4312	123	11	by	by	ADP
ejpam-4312	123	12	γ	γ	X
ejpam-4312	123	13	=	=	SYM
ejpam-4312	123	14	{	{	PUNCT
ejpam-4312	123	15	(	(	PUNCT
ejpam-4312	123	16	sn	sn	INTJ
ejpam-4312	123	17	,	,	PUNCT
ejpam-4312	123	18	in	in	ADP
ejpam-4312	123	19	,	,	PUNCT
ejpam-4312	123	20	rn	rn	PROPN
ejpam-4312	123	21	,	,	PUNCT
ejpam-4312	123	22	h	h	NOUN
ejpam-4312	123	23	,	,	PUNCT
ejpam-4312	123	24	sp	sp	NOUN
ejpam-4312	123	25	,	,	PUNCT
ejpam-4312	123	26	ip	ip	NOUN
ejpam-4312	123	27	,	,	PUNCT
ejpam-4312	123	28	rp	rp	NOUN
ejpam-4312	123	29	)	)	PUNCT
ejpam-4312	123	30	∈	∈	PROPN
ejpam-4312	123	31	r7	r7	NOUN
ejpam-4312	123	32	+	+	CCONJ
ejpam-4312	123	33	:	:	SYM
ejpam-4312	123	34	0	0	NUM
ejpam-4312	123	35	≤	≤	NUM
ejpam-4312	123	36	sn	sn	NOUN
ejpam-4312	123	37	+	+	X
ejpam-4312	123	38	in	in	ADP
ejpam-4312	123	39	+	+	NOUN
ejpam-4312	123	40	h	h	NOUN
ejpam-4312	123	41	+	+	PROPN
ejpam-4312	123	42	rn	rn	PROPN
ejpam-4312	123	43	+	+	NOUN
ejpam-4312	123	44	rp	rp	NOUN
ejpam-4312	123	45	+	+	CCONJ
ejpam-4312	123	46	sp	sp	ADP
ejpam-4312	123	47	+	+	NOUN
ejpam-4312	123	48	ip	ip	NOUN
ejpam-4312	123	49	=	=	SYM
ejpam-4312	123	50	n	n	CCONJ
ejpam-4312	123	51	≤	≤	NUM
ejpam-4312	123	52	λ	λ	X
ejpam-4312	123	53	µ	µ	X
ejpam-4312	123	54	+	+	X
ejpam-4312	123	55	π	π	PROPN
ejpam-4312	123	56	µ	µ	X
ejpam-4312	123	57	}	}	PUNCT
ejpam-4312	123	58	,	,	PUNCT
ejpam-4312	123	59	(	(	PUNCT
ejpam-4312	123	60	10	10	NUM
ejpam-4312	123	61	)	)	PUNCT
ejpam-4312	123	62	it	it	PRON
ejpam-4312	123	63	follows	follow	VERB
ejpam-4312	123	64	that	that	SCONJ
ejpam-4312	123	65	dnt	dnt	NOUN
ejpam-4312	123	66	dt	dt	X
ejpam-4312	124	1	=	=	PUNCT
ejpam-4312	124	2	−ς	−ς	PROPN
ejpam-4312	124	3	(	(	PUNCT
ejpam-4312	124	4	h	h	NOUN
ejpam-4312	124	5	+	+	X
ejpam-4312	124	6	in	in	ADP
ejpam-4312	124	7	+	+	CCONJ
ejpam-4312	124	8	ip	ip	NOUN
ejpam-4312	124	9	)	)	PUNCT
ejpam-4312	125	1	+	+	NUM
ejpam-4312	125	2	λ	λ	X
ejpam-4312	126	1	+	+	CCONJ
ejpam-4312	126	2	π−	π−	NOUN
ejpam-4312	126	3	µnt	µnt	ADV
ejpam-4312	127	1	≤	≤	PUNCT
ejpam-4312	127	2	λ	λ	X
ejpam-4312	127	3	+	+	PROPN
ejpam-4312	127	4	π−	π−	PROPN
ejpam-4312	127	5	µnt	µnt	ADJ
ejpam-4312	127	6	.	.	PUNCT
ejpam-4312	128	1	(	(	PUNCT
ejpam-4312	128	2	11	11	X
ejpam-4312	128	3	)	)	PUNCT
ejpam-4312	128	4	∴	∴	PROPN
ejpam-4312	128	5	dnt	dnt	NOUN
ejpam-4312	128	6	dt	dt	X
ejpam-4312	129	1	+	+	CCONJ
ejpam-4312	129	2	µnt	µnt	ADJ
ejpam-4312	129	3	≤	≤	PUNCT
ejpam-4312	129	4	λ	λ	X
ejpam-4312	129	5	+	+	NOUN
ejpam-4312	129	6	π	π	PROPN
ejpam-4312	129	7	.	.	PUNCT
ejpam-4312	130	1	(	(	PUNCT
ejpam-4312	130	2	12	12	NUM
ejpam-4312	130	3	)	)	PUNCT
ejpam-4312	130	4	∴	∴	NOUN
ejpam-4312	130	5	nt	not	PART
ejpam-4312	130	6	≤	≤	PROPN
ejpam-4312	130	7	ke−µt	ke−µt	PROPN
ejpam-4312	130	8	+	+	CCONJ
ejpam-4312	130	9	λ+π	λ+π	PROPN
ejpam-4312	130	10	µ	µ	NUM
ejpam-4312	130	11	.	.	PUNCT
ejpam-4312	131	1	(	(	PUNCT
ejpam-4312	131	2	13	13	X
ejpam-4312	131	3	)	)	PUNCT
ejpam-4312	131	4	taking	take	VERB
ejpam-4312	131	5	limit	limit	NOUN
ejpam-4312	131	6	as	as	ADP
ejpam-4312	131	7	t	t	PROPN
ejpam-4312	131	8	→	→	SYM
ejpam-4312	131	9	∞	∞	PROPN
ejpam-4312	131	10	,	,	PUNCT
ejpam-4312	131	11	n	n	PRON
ejpam-4312	131	12	≤	≤	NOUN
ejpam-4312	131	13	λ	λ	X
ejpam-4312	131	14	µ	µ	X
ejpam-4312	131	15	+	+	X
ejpam-4312	131	16	π	π	X
ejpam-4312	131	17	µ	µ	X
ejpam-4312	131	18	=	=	SYM
ejpam-4312	131	19	λ+π	λ+π	X
ejpam-4312	131	20	µ	µ	NUM
ejpam-4312	131	21	.	.	PUNCT
ejpam-4312	132	1	(	(	PUNCT
ejpam-4312	132	2	14	14	NUM
ejpam-4312	132	3	)	)	PUNCT
ejpam-4312	132	4	the	the	DET
ejpam-4312	132	5	inequality	inequality	NOUN
ejpam-4312	132	6	14	14	NUM
ejpam-4312	132	7	which	which	PRON
ejpam-4312	132	8	is	be	AUX
ejpam-4312	132	9	referred	refer	VERB
ejpam-4312	132	10	to	to	ADP
ejpam-4312	132	11	as	as	SCONJ
ejpam-4312	132	12	the	the	DET
ejpam-4312	132	13	threshold	threshold	NOUN
ejpam-4312	132	14	population	population	NOUN
ejpam-4312	132	15	level	level	NOUN
ejpam-4312	132	16	shows	show	VERB
ejpam-4312	132	17	that	that	SCONJ
ejpam-4312	132	18	if	if	SCONJ
ejpam-4312	132	19	the	the	DET
ejpam-4312	132	20	total	total	ADJ
ejpam-4312	132	21	women	woman	NOUN
ejpam-4312	132	22	population	population	NOUN
ejpam-4312	132	23	is	be	AUX
ejpam-4312	132	24	greater	great	ADJ
ejpam-4312	132	25	than	than	ADP
ejpam-4312	132	26	the	the	DET
ejpam-4312	132	27	threshold	threshold	NOUN
ejpam-4312	132	28	population	population	NOUN
ejpam-4312	132	29	level	level	NOUN
ejpam-4312	132	30	,	,	PUNCT
ejpam-4312	132	31	then	then	ADV
ejpam-4312	132	32	the	the	DET
ejpam-4312	132	33	total	total	ADJ
ejpam-4312	132	34	women	woman	NOUN
ejpam-4312	132	35	population	population	NOUN
ejpam-4312	132	36	reduces	reduce	VERB
ejpam-4312	132	37	asymptotically	asymptotically	ADV
ejpam-4312	132	38	to	to	ADP
ejpam-4312	132	39	the	the	DET
ejpam-4312	132	40	carrying	carrying	NOUN
ejpam-4312	132	41	capacity	capacity	NOUN
ejpam-4312	132	42	,	,	PUNCT
ejpam-4312	132	43	and	and	CCONJ
ejpam-4312	132	44	if	if	SCONJ
ejpam-4312	132	45	this	this	DET
ejpam-4312	132	46	population	population	NOUN
ejpam-4312	132	47	is	be	AUX
ejpam-4312	132	48	less	less	ADJ
ejpam-4312	132	49	than	than	ADP
ejpam-4312	132	50	the	the	DET
ejpam-4312	132	51	threshold	threshold	NOUN
ejpam-4312	132	52	population	population	NOUN
ejpam-4312	132	53	level	level	NOUN
ejpam-4312	132	54	,	,	PUNCT
ejpam-4312	132	55	then	then	ADV
ejpam-4312	132	56	the	the	DET
ejpam-4312	132	57	solution	solution	NOUN
ejpam-4312	132	58	of	of	ADP
ejpam-4312	132	59	the	the	DET
ejpam-4312	132	60	model	model	NOUN
ejpam-4312	132	61	remains	remain	VERB
ejpam-4312	132	62	in	in	ADP
ejpam-4312	132	63	γ	γ	NOUN
ejpam-4312	132	64	for	for	ADP
ejpam-4312	132	65	all	all	DET
ejpam-4312	132	66	t	t	PROPN
ejpam-4312	132	67	>	>	X
ejpam-4312	132	68	0	0	X
ejpam-4312	132	69	.	.	PUNCT
ejpam-4312	133	1	thus	thus	ADV
ejpam-4312	133	2	,	,	PUNCT
ejpam-4312	133	3	the	the	DET
ejpam-4312	133	4	region	region	NOUN
ejpam-4312	133	5	γ	γ	PROPN
ejpam-4312	133	6	is	be	AUX
ejpam-4312	133	7	positively	positively	ADV
ejpam-4312	133	8	invariant	invariant	ADJ
ejpam-4312	133	9	�	�	PROPN
ejpam-4312	133	10	theorem	theorem	NOUN
ejpam-4312	133	11	2	2	NUM
ejpam-4312	133	12	.	.	PUNCT
ejpam-4312	133	13	suppose	suppose	VERB
ejpam-4312	133	14	γ	γ	X
ejpam-4312	133	15	=	=	SYM
ejpam-4312	133	16	{	{	PUNCT
ejpam-4312	133	17	(	(	PUNCT
ejpam-4312	133	18	sn	sn	INTJ
ejpam-4312	133	19	,	,	PUNCT
ejpam-4312	133	20	in	in	ADP
ejpam-4312	133	21	,	,	PUNCT
ejpam-4312	133	22	rn	rn	PROPN
ejpam-4312	133	23	,	,	PUNCT
ejpam-4312	133	24	h	h	NOUN
ejpam-4312	133	25	,	,	PUNCT
ejpam-4312	133	26	sp	sp	NOUN
ejpam-4312	133	27	,	,	PUNCT
ejpam-4312	133	28	ip	ip	NOUN
ejpam-4312	133	29	,	,	PUNCT
ejpam-4312	133	30	rp	rp	NOUN
ejpam-4312	133	31	)	)	PUNCT
ejpam-4312	133	32	∈	∈	PROPN
ejpam-4312	133	33	r7	r7	NOUN
ejpam-4312	133	34	+	+	CCONJ
ejpam-4312	133	35	:	:	PUNCT
ejpam-4312	133	36	sn(0	sn(0	PROPN
ejpam-4312	133	37	)	)	PUNCT
ejpam-4312	133	38	>	>	X
ejpam-4312	133	39	0	0	NUM
ejpam-4312	133	40	,	,	PUNCT
ejpam-4312	133	41	in(0	in(0	NOUN
ejpam-4312	133	42	)	)	PUNCT
ejpam-4312	133	43	>	>	X
ejpam-4312	133	44	0	0	NUM
ejpam-4312	133	45	,	,	PUNCT
ejpam-4312	133	46	rn(0	rn(0	PROPN
ejpam-4312	133	47	)	)	PUNCT
ejpam-4312	133	48	>	>	X
ejpam-4312	134	1	0,h(0	0,h(0	NUM
ejpam-4312	134	2	)	)	PUNCT
ejpam-4312	134	3	>	>	X
ejpam-4312	134	4	0	0	NUM
ejpam-4312	134	5	,	,	PUNCT
ejpam-4312	134	6	sp(0	sp(0	NOUN
ejpam-4312	134	7	)	)	PUNCT
ejpam-4312	134	8	>	>	X
ejpam-4312	134	9	0	0	NUM
ejpam-4312	134	10	,	,	PUNCT
ejpam-4312	134	11	ip(0	ip(0	NOUN
ejpam-4312	134	12	)	)	PUNCT
ejpam-4312	134	13	>	>	X
ejpam-4312	134	14	0	0	NUM
ejpam-4312	134	15	,	,	PUNCT
ejpam-4312	134	16	rp(0	rp(0	NOUN
ejpam-4312	134	17	)	)	PUNCT
ejpam-4312	134	18	>	>	X
ejpam-4312	134	19	0	0	NUM
ejpam-4312	134	20	}	}	PUNCT
ejpam-4312	134	21	,	,	PUNCT
ejpam-4312	134	22	then	then	ADV
ejpam-4312	134	23	the	the	DET
ejpam-4312	134	24	solution	solution	NOUN
ejpam-4312	134	25	set	set	NOUN
ejpam-4312	134	26	{	{	PUNCT
ejpam-4312	134	27	sn	sn	INTJ
ejpam-4312	134	28	,	,	PUNCT
ejpam-4312	134	29	in	in	ADP
ejpam-4312	134	30	,	,	PUNCT
ejpam-4312	134	31	rn	rn	PROPN
ejpam-4312	134	32	,	,	PUNCT
ejpam-4312	134	33	h	h	NOUN
ejpam-4312	134	34	,	,	PUNCT
ejpam-4312	134	35	sp	sp	NOUN
ejpam-4312	134	36	,	,	PUNCT
ejpam-4312	134	37	ip	ip	NOUN
ejpam-4312	134	38	,	,	PUNCT
ejpam-4312	134	39	rp	rp	NOUN
ejpam-4312	134	40	}	}	PUNCT
ejpam-4312	134	41	,	,	PUNCT
ejpam-4312	134	42	is	be	AUX
ejpam-4312	134	43	positive	positive	ADJ
ejpam-4312	134	44	for	for	ADP
ejpam-4312	134	45	all	all	DET
ejpam-4312	134	46	t	t	PROPN
ejpam-4312	134	47	≥	≥	NOUN
ejpam-4312	134	48	0	0	NUM
ejpam-4312	134	49	.	.	PUNCT
ejpam-4312	135	1	j.	j.	PROPN
ejpam-4312	135	2	tsetimi	tsetimi	PROPN
ejpam-4312	135	3	,	,	PUNCT
ejpam-4312	135	4	m.	m.	NOUN
ejpam-4312	135	5	i.	i.	PROPN
ejpam-4312	135	6	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	135	7	,	,	PUNCT
ejpam-4312	135	8	a.	a.	PROPN
ejpam-4312	135	9	atonuje	atonuje	PROPN
ejpam-4312	135	10	/	/	SYM
ejpam-4312	135	11	eur	eur	PROPN
ejpam-4312	135	12	.	.	PUNCT
ejpam-4312	136	1	j.	j.	PROPN
ejpam-4312	136	2	pure	pure	PROPN
ejpam-4312	136	3	appl	appl	PROPN
ejpam-4312	136	4	.	.	PROPN
ejpam-4312	136	5	math	math	PROPN
ejpam-4312	136	6	,	,	PUNCT
ejpam-4312	136	7	15	15	NUM
ejpam-4312	136	8	(	(	PUNCT
ejpam-4312	136	9	2	2	NUM
ejpam-4312	136	10	)	)	PUNCT
ejpam-4312	136	11	(	(	PUNCT
ejpam-4312	136	12	2022	2022	NUM
ejpam-4312	136	13	)	)	PUNCT
ejpam-4312	136	14	,	,	PUNCT
ejpam-4312	136	15	537	537	NUM
ejpam-4312	136	16	-	-	SYM
ejpam-4312	136	17	556	556	NUM
ejpam-4312	136	18	545	545	NUM
ejpam-4312	136	19	proof	proof	NOUN
ejpam-4312	136	20	.	.	PUNCT
ejpam-4312	137	1	the	the	DET
ejpam-4312	137	2	first	first	ADJ
ejpam-4312	137	3	equation	equation	NOUN
ejpam-4312	137	4	of	of	ADP
ejpam-4312	137	5	the	the	DET
ejpam-4312	137	6	model	model	NOUN
ejpam-4312	137	7	is	be	AUX
ejpam-4312	137	8	dsn	dsn	NOUN
ejpam-4312	137	9	dt	dt	NOUN
ejpam-4312	137	10	=	=	PUNCT
ejpam-4312	137	11	λ+ψrn	λ+ψrn	X
ejpam-4312	137	12	−	−	NOUN
ejpam-4312	137	13	sn(δ	sn(δ	X
ejpam-4312	138	1	+	+	CCONJ
ejpam-4312	138	2	µ+	µ+	PUNCT
ejpam-4312	138	3	χ	χ	X
ejpam-4312	138	4	)	)	PUNCT
ejpam-4312	139	1	+	+	CCONJ
ejpam-4312	139	2	θsp	θsp	X
ejpam-4312	139	3	≥	≥	NOUN
ejpam-4312	139	4	sn(−(δ	sn(−(δ	PROPN
ejpam-4312	140	1	+	+	CCONJ
ejpam-4312	140	2	µ+	µ+	DET
ejpam-4312	140	3	χ	χ	X
ejpam-4312	140	4	)	)	PUNCT
ejpam-4312	140	5	)	)	PUNCT
ejpam-4312	140	6	.	.	PUNCT
ejpam-4312	141	1	(	(	PUNCT
ejpam-4312	141	2	15	15	NUM
ejpam-4312	141	3	)	)	PUNCT
ejpam-4312	141	4	that	that	PRON
ejpam-4312	141	5	is	be	AUX
ejpam-4312	141	6	dsn	dsn	PROPN
ejpam-4312	141	7	dt	dt	PROPN
ejpam-4312	141	8	≥	≥	PROPN
ejpam-4312	141	9	sn(−(δ	sn(−(δ	PROPN
ejpam-4312	141	10	+	+	CCONJ
ejpam-4312	141	11	µ+	µ+	PROPN
ejpam-4312	141	12	χ	χ	X
ejpam-4312	141	13	)	)	PUNCT
ejpam-4312	141	14	)	)	PUNCT
ejpam-4312	141	15	,	,	PUNCT
ejpam-4312	141	16	(	(	PUNCT
ejpam-4312	141	17	16	16	X
ejpam-4312	141	18	)	)	PUNCT
ejpam-4312	141	19	ln(ln)sn	ln(ln)sn	NOUN
ejpam-4312	141	20	≥	≥	NOUN
ejpam-4312	141	21	−	−	PROPN
ejpam-4312	141	22	∫	∫	PROPN
ejpam-4312	141	23	dt(δ	dt(δ	PUNCT
ejpam-4312	142	1	+	+	CCONJ
ejpam-4312	142	2	µ+	µ+	DET
ejpam-4312	142	3	χ	χ	X
ejpam-4312	142	4	)	)	PUNCT
ejpam-4312	142	5	.	.	PUNCT
ejpam-4312	143	1	(	(	PUNCT
ejpam-4312	143	2	17	17	NUM
ejpam-4312	143	3	)	)	PUNCT
ejpam-4312	143	4	∴	∴	PROPN
ejpam-4312	143	5	sn	sn	PROPN
ejpam-4312	143	6	≥	≥	X
ejpam-4312	143	7	e	e	PROPN
ejpam-4312	143	8	∫	∫	PROPN
ejpam-4312	143	9	(	(	PUNCT
ejpam-4312	143	10	χ+δ+µ)dt	χ+δ+µ)dt	NOUN
ejpam-4312	143	11	.	.	PUNCT
ejpam-4312	144	1	(	(	PUNCT
ejpam-4312	144	2	18	18	NUM
ejpam-4312	144	3	)	)	PUNCT
ejpam-4312	144	4	the	the	DET
ejpam-4312	144	5	constant	constant	NOUN
ejpam-4312	144	6	of	of	ADP
ejpam-4312	144	7	integration	integration	NOUN
ejpam-4312	144	8	from	from	ADP
ejpam-4312	144	9	the	the	DET
ejpam-4312	144	10	integral	integral	NOUN
ejpam-4312	144	11	is	be	AUX
ejpam-4312	144	12	a	a	DET
ejpam-4312	144	13	function	function	NOUN
ejpam-4312	144	14	of	of	ADP
ejpam-4312	144	15	the	the	DET
ejpam-4312	144	16	initial	initial	ADJ
ejpam-4312	144	17	data	datum	NOUN
ejpam-4312	144	18	sn(0	sn(0	PROPN
ejpam-4312	144	19	)	)	PUNCT
ejpam-4312	144	20	.	.	PUNCT
ejpam-4312	145	1	it	it	PRON
ejpam-4312	145	2	follows	follow	VERB
ejpam-4312	145	3	that	that	SCONJ
ejpam-4312	145	4	sn	sn	PROPN
ejpam-4312	145	5	>	>	X
ejpam-4312	145	6	0	0	X
ejpam-4312	145	7	.	.	PUNCT
ejpam-4312	146	1	similarly	similarly	ADV
ejpam-4312	146	2	,	,	PUNCT
ejpam-4312	146	3	we	we	PRON
ejpam-4312	146	4	can	can	AUX
ejpam-4312	146	5	show	show	VERB
ejpam-4312	146	6	that	that	PRON
ejpam-4312	146	7	in(t	in(t	PRON
ejpam-4312	146	8	)	)	PUNCT
ejpam-4312	146	9	>	>	X
ejpam-4312	146	10	0	0	NUM
ejpam-4312	146	11	,	,	PUNCT
ejpam-4312	146	12	rn(t	rn(t	NUM
ejpam-4312	146	13	)	)	PUNCT
ejpam-4312	146	14	>	>	X
ejpam-4312	146	15	0,h(t	0,h(t	NUM
ejpam-4312	146	16	)	)	PUNCT
ejpam-4312	146	17	>	>	X
ejpam-4312	146	18	0	0	NUM
ejpam-4312	146	19	,	,	PUNCT
ejpam-4312	146	20	sp(t	sp(t	NUM
ejpam-4312	146	21	)	)	PUNCT
ejpam-4312	146	22	>	>	X
ejpam-4312	146	23	0	0	NUM
ejpam-4312	146	24	,	,	PUNCT
ejpam-4312	146	25	ip(t	ip(t	NOUN
ejpam-4312	146	26	)	)	PUNCT
ejpam-4312	146	27	>	>	X
ejpam-4312	146	28	0	0	NUM
ejpam-4312	146	29	,	,	PUNCT
ejpam-4312	146	30	rp(t	rp(t	VERB
ejpam-4312	146	31	)	)	PUNCT
ejpam-4312	146	32	>	>	X
ejpam-4312	146	33	0	0	PUNCT
ejpam-4312	147	1	for	for	ADP
ejpam-4312	147	2	all	all	DET
ejpam-4312	147	3	time	time	NOUN
ejpam-4312	147	4	t	t	PROPN
ejpam-4312	147	5	≥	≥	NOUN
ejpam-4312	147	6	0	0	NUM
ejpam-4312	147	7	�	�	PROPN
ejpam-4312	147	8	3.2	3.2	NUM
ejpam-4312	147	9	.	.	PUNCT
ejpam-4312	148	1	disease	disease	NOUN
ejpam-4312	148	2	-	-	PUNCT
ejpam-4312	148	3	free	free	ADJ
ejpam-4312	148	4	equilibrium	equilibrium	NOUN
ejpam-4312	148	5	by	by	ADP
ejpam-4312	148	6	setting	set	VERB
ejpam-4312	148	7	the	the	DET
ejpam-4312	148	8	right	right	ADJ
ejpam-4312	148	9	hand	hand	NOUN
ejpam-4312	148	10	side	side	NOUN
ejpam-4312	148	11	of	of	ADP
ejpam-4312	148	12	the	the	DET
ejpam-4312	148	13	model	model	NOUN
ejpam-4312	148	14	to	to	ADP
ejpam-4312	148	15	zero	zero	NUM
ejpam-4312	148	16	we	we	PRON
ejpam-4312	148	17	obtain	obtain	VERB
ejpam-4312	148	18	the	the	DET
ejpam-4312	148	19	following	follow	VERB
ejpam-4312	148	20	disease	disease	NOUN
ejpam-4312	148	21	-	-	PUNCT
ejpam-4312	148	22	free	free	ADJ
ejpam-4312	148	23	equilibrium	equilibrium	NOUN
ejpam-4312	148	24	:	:	PUNCT
ejpam-4312	148	25	e0	e0	PROPN
ejpam-4312	148	26	=	=	PUNCT
ejpam-4312	148	27	(	(	PUNCT
ejpam-4312	148	28	θ(λ	θ(λ	PROPN
ejpam-4312	148	29	+	+	CCONJ
ejpam-4312	148	30	π	π	NOUN
ejpam-4312	148	31	)	)	PUNCT
ejpam-4312	148	32	+	+	CCONJ
ejpam-4312	148	33	λµ	λµ	ADP
ejpam-4312	148	34	µ(δ	µ(δ	ADV
ejpam-4312	148	35	+	+	NUM
ejpam-4312	148	36	θ	θ	PROPN
ejpam-4312	148	37	+	+	SYM
ejpam-4312	148	38	µ	µ	X
ejpam-4312	148	39	)	)	PUNCT
ejpam-4312	148	40	,	,	PUNCT
ejpam-4312	148	41	0	0	NUM
ejpam-4312	148	42	,	,	PUNCT
ejpam-4312	148	43	0	0	NUM
ejpam-4312	148	44	,	,	PUNCT
ejpam-4312	148	45	0	0	NUM
ejpam-4312	148	46	,	,	PUNCT
ejpam-4312	148	47	δ(λ	δ(λ	PROPN
ejpam-4312	148	48	+	+	PROPN
ejpam-4312	148	49	π	π	X
ejpam-4312	148	50	)	)	PUNCT
ejpam-4312	149	1	+	+	CCONJ
ejpam-4312	149	2	µπ	µπ	ADP
ejpam-4312	149	3	µ(δ	µ(δ	PROPN
ejpam-4312	149	4	+	+	NUM
ejpam-4312	149	5	θ	θ	PROPN
ejpam-4312	149	6	+	+	SYM
ejpam-4312	149	7	µ	µ	X
ejpam-4312	149	8	)	)	PUNCT
ejpam-4312	149	9	,	,	PUNCT
ejpam-4312	149	10	0	0	NUM
ejpam-4312	149	11	,	,	PUNCT
ejpam-4312	149	12	0	0	NUM
ejpam-4312	149	13	)	)	PUNCT
ejpam-4312	149	14	.	.	PUNCT
ejpam-4312	150	1	(	(	PUNCT
ejpam-4312	150	2	19	19	NUM
ejpam-4312	150	3	)	)	PUNCT
ejpam-4312	150	4	3.3	3.3	NUM
ejpam-4312	150	5	.	.	PUNCT
ejpam-4312	151	1	basic	basic	ADJ
ejpam-4312	151	2	reproduction	reproduction	NOUN
ejpam-4312	151	3	number	number	NOUN
ejpam-4312	151	4	the	the	DET
ejpam-4312	151	5	infected	infected	ADJ
ejpam-4312	151	6	classes	class	NOUN
ejpam-4312	151	7	of	of	ADP
ejpam-4312	151	8	the	the	DET
ejpam-4312	151	9	model	model	NOUN
ejpam-4312	151	10	(	(	PUNCT
ejpam-4312	151	11	1	1	X
ejpam-4312	151	12	)	)	PUNCT
ejpam-4312	151	13	are	be	AUX
ejpam-4312	151	14	in	in	ADP
ejpam-4312	151	15	,	,	PUNCT
ejpam-4312	151	16	h	h	NOUN
ejpam-4312	151	17	and	and	CCONJ
ejpam-4312	151	18	ip	ip	NOUN
ejpam-4312	151	19	.	.	PUNCT
ejpam-4312	152	1	we	we	PRON
ejpam-4312	152	2	separate	separate	VERB
ejpam-4312	152	3	the	the	DET
ejpam-4312	152	4	right	right	ADJ
ejpam-4312	152	5	hand	hand	NOUN
ejpam-4312	152	6	side	side	NOUN
ejpam-4312	152	7	of	of	ADP
ejpam-4312	152	8	the	the	DET
ejpam-4312	152	9	equations	equation	NOUN
ejpam-4312	152	10	of	of	ADP
ejpam-4312	152	11	these	these	DET
ejpam-4312	152	12	classes	class	NOUN
ejpam-4312	152	13	as	as	ADP
ejpam-4312	152	14	follows	follows	PROPN
ejpam-4312	152	15	χsn	χsn	NOUN
ejpam-4312	152	16	0	0	NUM
ejpam-4312	153	1	βχsp	βχsp	NOUN
ejpam-4312	153	2	−	−	VERB
ejpam-4312	154	1			PROPN
ejpam-4312	154	2	in(δ	in(δ	PUNCT
ejpam-4312	154	3	+	+	CCONJ
ejpam-4312	154	4	ε+	ε+	X
ejpam-4312	154	5	η	η	PROPN
ejpam-4312	154	6	+	+	PROPN
ejpam-4312	154	7	µ+	µ+	PROPN
ejpam-4312	154	8	ς)−	ς)−	PROPN
ejpam-4312	154	9	θip	θip	NOUN
ejpam-4312	154	10	h(µ+	h(µ+	X
ejpam-4312	154	11	ς	ς	PROPN
ejpam-4312	154	12	+	+	PROPN
ejpam-4312	154	13	ϕ)−	ϕ)−	PROPN
ejpam-4312	154	14	εin	εin	PROPN
ejpam-4312	154	15	−	−	PROPN
ejpam-4312	154	16	αip	αip	PROPN
ejpam-4312	154	17	ip(α+	ip(α+	PROPN
ejpam-4312	154	18	γ	γ	X
ejpam-4312	154	19	+	+	NOUN
ejpam-4312	154	20	θ	θ	PROPN
ejpam-4312	154	21	+	+	PUNCT
ejpam-4312	154	22	µ+	µ+	PROPN
ejpam-4312	154	23	ς)−	ς)−	PROPN
ejpam-4312	154	24	δin	δin	NOUN
ejpam-4312	154	25			PROPN
ejpam-4312	154	26	.	.	PUNCT
ejpam-4312	155	1	(	(	PUNCT
ejpam-4312	155	2	20	20	NUM
ejpam-4312	155	3	)	)	PUNCT
ejpam-4312	155	4	let	let	VERB
ejpam-4312	155	5	f	f	NOUN
ejpam-4312	155	6	=	=	SYM
ejpam-4312	155	7			PROPN
ejpam-4312	155	8	χsn	χsn	VERB
ejpam-4312	155	9	0	0	NUM
ejpam-4312	156	1	βχsp	βχsp	VERB
ejpam-4312	157	1			PROPN
ejpam-4312	157	2	,	,	PUNCT
ejpam-4312	157	3	v	v	NOUN
ejpam-4312	157	4	=	=	SYM
ejpam-4312	157	5			X
ejpam-4312	157	6	in(δ	in(δ	PRON
ejpam-4312	157	7	+	+	NUM
ejpam-4312	157	8	ε+	ε+	X
ejpam-4312	157	9	η	η	PROPN
ejpam-4312	157	10	+	+	PROPN
ejpam-4312	157	11	µ+	µ+	PROPN
ejpam-4312	157	12	ς)−	ς)−	PROPN
ejpam-4312	157	13	θip	θip	NOUN
ejpam-4312	157	14	h(µ+	h(µ+	X
ejpam-4312	157	15	ς	ς	PROPN
ejpam-4312	157	16	+	+	PROPN
ejpam-4312	157	17	ϕ)−	ϕ)−	PROPN
ejpam-4312	157	18	εin	εin	PROPN
ejpam-4312	157	19	−	−	PROPN
ejpam-4312	157	20	αip	αip	PROPN
ejpam-4312	157	21	ip(α+	ip(α+	PROPN
ejpam-4312	157	22	γ	γ	X
ejpam-4312	157	23	+	+	NOUN
ejpam-4312	157	24	θ	θ	PROPN
ejpam-4312	157	25	+	+	PUNCT
ejpam-4312	157	26	µ+	µ+	PROPN
ejpam-4312	157	27	ς)−	ς)−	PROPN
ejpam-4312	157	28	δin	δin	NOUN
ejpam-4312	157	29			PROPN
ejpam-4312	157	30	.	.	PUNCT
ejpam-4312	158	1	(	(	PUNCT
ejpam-4312	158	2	21	21	NUM
ejpam-4312	158	3	)	)	PUNCT
ejpam-4312	158	4	the	the	DET
ejpam-4312	158	5	rows	row	NOUN
ejpam-4312	158	6	of	of	ADP
ejpam-4312	158	7	matrix	matrix	NOUN
ejpam-4312	158	8	f	f	PROPN
ejpam-4312	158	9	shows	show	VERB
ejpam-4312	158	10	the	the	DET
ejpam-4312	158	11	new	new	ADJ
ejpam-4312	158	12	infection	infection	NOUN
ejpam-4312	158	13	terms	term	NOUN
ejpam-4312	158	14	appearing	appear	VERB
ejpam-4312	158	15	in	in	ADP
ejpam-4312	158	16	each	each	DET
ejpam-4312	158	17	infected	infected	ADJ
ejpam-4312	158	18	class	class	NOUN
ejpam-4312	158	19	of	of	ADP
ejpam-4312	158	20	the	the	DET
ejpam-4312	158	21	model	model	NOUN
ejpam-4312	158	22	,	,	PUNCT
ejpam-4312	158	23	while	while	SCONJ
ejpam-4312	158	24	the	the	DET
ejpam-4312	158	25	rows	row	NOUN
ejpam-4312	158	26	of	of	ADP
ejpam-4312	158	27	matrix	matrix	NOUN
ejpam-4312	158	28	v	v	NOUN
ejpam-4312	158	29	shows	show	VERB
ejpam-4312	158	30	the	the	DET
ejpam-4312	158	31	transfer	transfer	NOUN
ejpam-4312	158	32	terms	term	NOUN
ejpam-4312	158	33	(	(	PUNCT
ejpam-4312	158	34	old	old	ADJ
ejpam-4312	158	35	infection	infection	NOUN
ejpam-4312	158	36	terms	term	NOUN
ejpam-4312	158	37	)	)	PUNCT
ejpam-4312	158	38	also	also	ADV
ejpam-4312	158	39	appearing	appear	VERB
ejpam-4312	158	40	in	in	ADP
ejpam-4312	158	41	each	each	DET
ejpam-4312	158	42	infected	infected	ADJ
ejpam-4312	158	43	class	class	NOUN
ejpam-4312	158	44	of	of	ADP
ejpam-4312	158	45	the	the	DET
ejpam-4312	158	46	model	model	NOUN
ejpam-4312	158	47	.	.	PUNCT
ejpam-4312	159	1	this	this	DET
ejpam-4312	159	2	notation	notation	NOUN
ejpam-4312	159	3	is	be	AUX
ejpam-4312	159	4	in	in	ADP
ejpam-4312	159	5	line	line	NOUN
ejpam-4312	159	6	with	with	ADP
ejpam-4312	159	7	driessche	driessche	NOUN
ejpam-4312	159	8	and	and	CCONJ
ejpam-4312	159	9	watmough	watmough	NOUN
ejpam-4312	159	10	[	[	X
ejpam-4312	159	11	19	19	NUM
ejpam-4312	159	12	]	]	PUNCT
ejpam-4312	159	13	.	.	PUNCT
ejpam-4312	160	1	this	this	PRON
ejpam-4312	160	2	is	be	AUX
ejpam-4312	160	3	the	the	DET
ejpam-4312	160	4	next	next	ADJ
ejpam-4312	160	5	generation	generation	NOUN
ejpam-4312	160	6	matrix	matrix	NOUN
ejpam-4312	160	7	approach	approach	NOUN
ejpam-4312	160	8	for	for	ADP
ejpam-4312	160	9	finding	find	VERB
ejpam-4312	160	10	the	the	DET
ejpam-4312	160	11	basic	basic	ADJ
ejpam-4312	160	12	reproduction	reproduction	NOUN
ejpam-4312	160	13	number	number	NOUN
ejpam-4312	160	14	r0	r0	NOUN
ejpam-4312	160	15	.	.	PUNCT
ejpam-4312	161	1	the	the	DET
ejpam-4312	161	2	jacobian	jacobian	NOUN
ejpam-4312	161	3	of	of	ADP
ejpam-4312	161	4	the	the	DET
ejpam-4312	161	5	matrices	matrix	NOUN
ejpam-4312	161	6	f	f	PROPN
ejpam-4312	161	7	and	and	CCONJ
ejpam-4312	161	8	v	v	NOUN
ejpam-4312	161	9	at	at	ADP
ejpam-4312	161	10	the	the	DET
ejpam-4312	161	11	disease	disease	NOUN
ejpam-4312	161	12	-	-	PUNCT
ejpam-4312	161	13	free	free	ADJ
ejpam-4312	161	14	equilibrium	equilibrium	NOUN
ejpam-4312	161	15	(	(	PUNCT
ejpam-4312	161	16	e0	e0	PROPN
ejpam-4312	161	17	)	)	PUNCT
ejpam-4312	161	18	are	be	AUX
ejpam-4312	161	19	respectively	respectively	ADV
ejpam-4312	161	20	given	give	VERB
ejpam-4312	161	21	as	as	ADP
ejpam-4312	161	22	f	f	PROPN
ejpam-4312	161	23	=	=	PROPN
ejpam-4312	161	24			PROPN
ejpam-4312	161	25	−	−	PROPN
ejpam-4312	161	26	(	(	PUNCT
ejpam-4312	161	27	k($−1))(θ(λ+π)+λµ	k($−1))(θ(λ+π)+λµ	NOUN
ejpam-4312	161	28	)	)	PUNCT
ejpam-4312	161	29	(	(	PUNCT
ejpam-4312	161	30	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	161	31	)	)	PUNCT
ejpam-4312	161	32	−	−	PROPN
ejpam-4312	161	33	(	(	PUNCT
ejpam-4312	161	34	kι($−1))(θ(λ+π)+λµ	kι($−1))(θ(λ+π)+λµ	PROPN
ejpam-4312	161	35	)	)	PUNCT
ejpam-4312	161	36	(	(	PUNCT
ejpam-4312	161	37	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	161	38	)	)	PUNCT
ejpam-4312	161	39	−%(k($−1))(θ(λ+π)+λµ	−%(k($−1))(θ(λ+π)+λµ	NOUN
ejpam-4312	161	40	)	)	PUNCT
ejpam-4312	161	41	(	(	PUNCT
ejpam-4312	161	42	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	161	43	)	)	PUNCT
ejpam-4312	161	44	0	0	NUM
ejpam-4312	161	45	0	0	NUM
ejpam-4312	161	46	0	0	NUM
ejpam-4312	162	1	−	−	PROPN
ejpam-4312	162	2	(	(	PUNCT
ejpam-4312	162	3	kβ($−1))(δ(λ+π)+µπ	kβ($−1))(δ(λ+π)+µπ	PROPN
ejpam-4312	162	4	)	)	PUNCT
ejpam-4312	162	5	(	(	PUNCT
ejpam-4312	162	6	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	162	7	)	)	PUNCT
ejpam-4312	162	8	−	−	PROPN
ejpam-4312	162	9	(	(	PUNCT
ejpam-4312	162	10	kβι($−1))(δ(λ+π)+µπ	kβι($−1))(δ(λ+π)+µπ	PROPN
ejpam-4312	162	11	)	)	PUNCT
ejpam-4312	162	12	(	(	PUNCT
ejpam-4312	162	13	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	162	14	)	)	PUNCT
ejpam-4312	162	15	−%(kβ($−1))(δ(λ+π)+µπ	−%(kβ($−1))(δ(λ+π)+µπ	ADP
ejpam-4312	162	16	)	)	PUNCT
ejpam-4312	162	17	(	(	PUNCT
ejpam-4312	162	18	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	162	19	)	)	PUNCT
ejpam-4312	162	20			NOUN
ejpam-4312	162	21	,	,	PUNCT
ejpam-4312	162	22	(	(	PUNCT
ejpam-4312	162	23	22	22	NUM
ejpam-4312	162	24	)	)	PUNCT
ejpam-4312	162	25	j.	j.	PROPN
ejpam-4312	162	26	tsetimi	tsetimi	PROPN
ejpam-4312	162	27	,	,	PUNCT
ejpam-4312	162	28	m.	m.	NOUN
ejpam-4312	162	29	i.	i.	PROPN
ejpam-4312	162	30	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	162	31	,	,	PUNCT
ejpam-4312	162	32	a.	a.	PROPN
ejpam-4312	162	33	atonuje	atonuje	PROPN
ejpam-4312	162	34	/	/	SYM
ejpam-4312	162	35	eur	eur	PROPN
ejpam-4312	162	36	.	.	PUNCT
ejpam-4312	163	1	j.	j.	PROPN
ejpam-4312	163	2	pure	pure	PROPN
ejpam-4312	163	3	appl	appl	PROPN
ejpam-4312	163	4	.	.	PROPN
ejpam-4312	163	5	math	math	PROPN
ejpam-4312	163	6	,	,	PUNCT
ejpam-4312	163	7	15	15	NUM
ejpam-4312	163	8	(	(	PUNCT
ejpam-4312	163	9	2	2	NUM
ejpam-4312	163	10	)	)	PUNCT
ejpam-4312	163	11	(	(	PUNCT
ejpam-4312	163	12	2022	2022	NUM
ejpam-4312	163	13	)	)	PUNCT
ejpam-4312	163	14	,	,	PUNCT
ejpam-4312	163	15	537	537	NUM
ejpam-4312	163	16	-	-	SYM
ejpam-4312	163	17	556	556	NUM
ejpam-4312	163	18	546	546	NUM
ejpam-4312	163	19	v	v	NOUN
ejpam-4312	163	20	=	=	SYM
ejpam-4312	163	21			PROPN
ejpam-4312	163	22	δ	δ	PROPN
ejpam-4312	163	23	+	+	CCONJ
ejpam-4312	163	24	ε+	ε+	X
ejpam-4312	163	25	η	η	PROPN
ejpam-4312	163	26	+	+	PROPN
ejpam-4312	163	27	µ+	µ+	PROPN
ejpam-4312	163	28	ς	ς	PROPN
ejpam-4312	163	29	0	0	PUNCT
ejpam-4312	163	30	−θ	−θ	PROPN
ejpam-4312	163	31	−ε	−ε	PROPN
ejpam-4312	163	32	µ+	µ+	X
ejpam-4312	163	33	ς	ς	PROPN
ejpam-4312	163	34	+	+	PROPN
ejpam-4312	163	35	ϕ	ϕ	PROPN
ejpam-4312	163	36	−α	−α	NOUN
ejpam-4312	163	37	−δ	−δ	ADJ
ejpam-4312	163	38	0	0	PUNCT
ejpam-4312	163	39	α+	α+	PUNCT
ejpam-4312	163	40	γ	γ	X
ejpam-4312	163	41	+	+	NOUN
ejpam-4312	163	42	θ	θ	PROPN
ejpam-4312	163	43	+	+	PUNCT
ejpam-4312	163	44	µ+	µ+	X
ejpam-4312	163	45	ς	ς	X
ejpam-4312	163	46			PROPN
ejpam-4312	163	47	,	,	PUNCT
ejpam-4312	163	48	(	(	PUNCT
ejpam-4312	163	49	23	23	NUM
ejpam-4312	163	50	)	)	PUNCT
ejpam-4312	163	51	v	v	ADP
ejpam-4312	163	52	−1	−1	NOUN
ejpam-4312	163	53	=	=	SYM
ejpam-4312	164	1			PROPN
ejpam-4312	165	1	α+γ+θ+µ+ς	α+γ+θ+µ+ς	NOUN
ejpam-4312	165	2	(	(	PUNCT
ejpam-4312	165	3	α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	NUM
ejpam-4312	165	4	0	0	NUM
ejpam-4312	165	5	θ	θ	NOUN
ejpam-4312	165	6	(	(	PUNCT
ejpam-4312	165	7	α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	NUM
ejpam-4312	165	8	ε(α+γ+θ+µ+ς)+αδ	ε(α+γ+θ+µ+ς)+αδ	PROPN
ejpam-4312	165	9	(	(	PUNCT
ejpam-4312	165	10	µ+ς+ϕ)((α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	µ+ς+ϕ)((α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	NOUN
ejpam-4312	165	11	)	)	PUNCT
ejpam-4312	165	12	1	1	NUM
ejpam-4312	165	13	µ+ς+ϕ	µ+ς+ϕ	ADV
ejpam-4312	165	14	α(δ+ε+η+µ+ς)+εθ	α(δ+ε+η+µ+ς)+εθ	X
ejpam-4312	165	15	(	(	PUNCT
ejpam-4312	165	16	µ+ς+ϕ)((α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	µ+ς+ϕ)((α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	NOUN
ejpam-4312	165	17	)	)	PUNCT
ejpam-4312	165	18	δ	δ	NOUN
ejpam-4312	165	19	(	(	PUNCT
ejpam-4312	165	20	α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	NUM
ejpam-4312	165	21	0	0	NUM
ejpam-4312	165	22	δ+ε+η+µ+ς	δ+ε+η+µ+ς	X
ejpam-4312	165	23	(	(	PUNCT
ejpam-4312	165	24	α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	NOUN
ejpam-4312	165	25			NOUN
ejpam-4312	165	26	,	,	PUNCT
ejpam-4312	165	27	(	(	PUNCT
ejpam-4312	165	28	24	24	NUM
ejpam-4312	165	29	)	)	PUNCT
ejpam-4312	165	30	fv	fv	NOUN
ejpam-4312	165	31	−1	−1	NOUN
ejpam-4312	166	1	=	=	PUNCT
ejpam-4312	167	1			PROPN
ejpam-4312	167	2	a	a	DET
ejpam-4312	167	3	b	b	NOUN
ejpam-4312	167	4	c	c	NOUN
ejpam-4312	167	5	0	0	NUM
ejpam-4312	167	6	0	0	NUM
ejpam-4312	167	7	0	0	NUM
ejpam-4312	168	1	d	d	NOUN
ejpam-4312	168	2	e	e	X
ejpam-4312	168	3	f	f	X
ejpam-4312	168	4			PROPN
ejpam-4312	168	5	,	,	PUNCT
ejpam-4312	168	6	(	(	PUNCT
ejpam-4312	168	7	25	25	NUM
ejpam-4312	168	8	)	)	PUNCT
ejpam-4312	168	9			VERB
ejpam-4312	168	10	a	a	DET
ejpam-4312	168	11	=	=	X
ejpam-4312	168	12	(	(	PUNCT
ejpam-4312	168	13	k($−1))(θ(λ+π)+λµ	k($−1))(θ(λ+π)+λµ	NOUN
ejpam-4312	168	14	)	)	PUNCT
ejpam-4312	168	15	(	(	PUNCT
ejpam-4312	168	16	−	−	PROPN
ejpam-4312	168	17	ι(ε(α+γ+θ+µ+ς)+αδ	ι(ε(α+γ+θ+µ+ς)+αδ	PROPN
ejpam-4312	168	18	)	)	PUNCT
ejpam-4312	168	19	µ+ς+ϕ	µ+ς+ϕ	ADJ
ejpam-4312	168	20	−α−γ−δ%−θ−µ−ς	−α−γ−δ%−θ−µ−ς	NOUN
ejpam-4312	168	21	)	)	PUNCT
ejpam-4312	168	22	(	(	PUNCT
ejpam-4312	168	23	λ+π)(δ+θ+µ)((α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	λ+π)(δ+θ+µ)((α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	NOUN
ejpam-4312	168	24	)	)	PUNCT
ejpam-4312	168	25	,	,	PUNCT
ejpam-4312	169	1	b	b	X
ejpam-4312	169	2	=	=	SYM
ejpam-4312	169	3	−	−	PROPN
ejpam-4312	169	4	(	(	PUNCT
ejpam-4312	169	5	kι($−1))(θ(λ+π)+λµ	kι($−1))(θ(λ+π)+λµ	PROPN
ejpam-4312	169	6	)	)	PUNCT
ejpam-4312	169	7	(	(	PUNCT
ejpam-4312	169	8	λ+π)(δ+θ+µ)(µ+ς+ϕ	λ+π)(δ+θ+µ)(µ+ς+ϕ	PROPN
ejpam-4312	169	9	)	)	PUNCT
ejpam-4312	169	10	,	,	PUNCT
ejpam-4312	170	1	c	c	X
ejpam-4312	170	2	=	=	SYM
ejpam-4312	170	3	(	(	PUNCT
ejpam-4312	170	4	k($−1))(θ(λ+π)+λµ	k($−1))(θ(λ+π)+λµ	NOUN
ejpam-4312	170	5	)	)	PUNCT
ejpam-4312	170	6	(	(	PUNCT
ejpam-4312	170	7	−	−	PROPN
ejpam-4312	170	8	ι(α(δ+ε+η+µ+ς)+εθ	ι(α(δ+ε+η+µ+ς)+εθ	X
ejpam-4312	170	9	)	)	PUNCT
ejpam-4312	170	10	µ+ς+ϕ	µ+ς+ϕ	ADJ
ejpam-4312	170	11	−%(δ+ε+η+µ+ς)−θ	−%(δ+ε+η+µ+ς)−θ	NUM
ejpam-4312	170	12	)	)	PUNCT
ejpam-4312	170	13	(	(	PUNCT
ejpam-4312	170	14	λ+π)(δ+θ+µ)((α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	λ+π)(δ+θ+µ)((α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	NOUN
ejpam-4312	170	15	)	)	PUNCT
ejpam-4312	170	16	,	,	PUNCT
ejpam-4312	170	17	d	d	NOUN
ejpam-4312	170	18	=	=	SYM
ejpam-4312	170	19	(	(	PUNCT
ejpam-4312	170	20	kβ($−1))(δ(λ+π)+µπ	kβ($−1))(δ(λ+π)+µπ	PROPN
ejpam-4312	170	21	)	)	PUNCT
ejpam-4312	170	22	(	(	PUNCT
ejpam-4312	170	23	−	−	PROPN
ejpam-4312	170	24	ι(ε(α+γ+θ+µ+ς)+αδ	ι(ε(α+γ+θ+µ+ς)+αδ	PROPN
ejpam-4312	170	25	)	)	PUNCT
ejpam-4312	170	26	µ+ς+ϕ	µ+ς+ϕ	ADJ
ejpam-4312	170	27	−α−γ−δ%−θ−µ−ς	−α−γ−δ%−θ−µ−ς	NOUN
ejpam-4312	170	28	)	)	PUNCT
ejpam-4312	170	29	(	(	PUNCT
ejpam-4312	170	30	λ+π)(δ+θ+µ)((α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	λ+π)(δ+θ+µ)((α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	NOUN
ejpam-4312	170	31	)	)	PUNCT
ejpam-4312	170	32	,	,	PUNCT
ejpam-4312	170	33	e	e	X
ejpam-4312	170	34	=	=	PUNCT
ejpam-4312	170	35	−	−	PROPN
ejpam-4312	170	36	(	(	PUNCT
ejpam-4312	170	37	kβι($−1))(δ(λ+π)+µπ	kβι($−1))(δ(λ+π)+µπ	PROPN
ejpam-4312	170	38	)	)	PUNCT
ejpam-4312	170	39	(	(	PUNCT
ejpam-4312	170	40	λ+π)(δ+θ+µ)(µ+ς+ϕ	λ+π)(δ+θ+µ)(µ+ς+ϕ	PROPN
ejpam-4312	170	41	)	)	PUNCT
ejpam-4312	170	42	,	,	PUNCT
ejpam-4312	171	1	f	f	X
ejpam-4312	171	2	=	=	PRON
ejpam-4312	171	3	(	(	PUNCT
ejpam-4312	171	4	kβ($−1))(δ(λ+π)+µπ	kβ($−1))(δ(λ+π)+µπ	PROPN
ejpam-4312	171	5	)	)	PUNCT
ejpam-4312	171	6	(	(	PUNCT
ejpam-4312	171	7	−	−	PROPN
ejpam-4312	171	8	ι(α(δ+ε+η+µ+ς)+εθ	ι(α(δ+ε+η+µ+ς)+εθ	X
ejpam-4312	171	9	)	)	PUNCT
ejpam-4312	171	10	µ+ς+ϕ	µ+ς+ϕ	ADJ
ejpam-4312	171	11	−%(δ+ε+η+µ+ς)−θ	−%(δ+ε+η+µ+ς)−θ	NUM
ejpam-4312	171	12	)	)	PUNCT
ejpam-4312	171	13	(	(	PUNCT
ejpam-4312	171	14	λ+π)(δ+θ+µ)((α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	λ+π)(δ+θ+µ)((α+γ+θ+µ+ς)(δ+ε+η+µ+ς)−δθ	NOUN
ejpam-4312	171	15	)	)	PUNCT
ejpam-4312	171	16	.	.	PUNCT
ejpam-4312	172	1	(	(	PUNCT
ejpam-4312	172	2	26	26	NUM
ejpam-4312	172	3	)	)	PUNCT
ejpam-4312	172	4	the	the	DET
ejpam-4312	172	5	spectral	spectral	ADJ
ejpam-4312	172	6	radius	radius	NOUN
ejpam-4312	172	7	of	of	ADP
ejpam-4312	172	8	the	the	DET
ejpam-4312	172	9	matrix	matrix	NOUN
ejpam-4312	172	10	fv	fv	NOUN
ejpam-4312	172	11	−1	−1	NOUN
ejpam-4312	172	12	is	be	AUX
ejpam-4312	172	13	obtained	obtain	VERB
ejpam-4312	172	14	as	as	ADP
ejpam-4312	172	15	:	:	PUNCT
ejpam-4312	172	16	ρ(fv	ρ(fv	NOUN
ejpam-4312	172	17	−1	−1	NOUN
ejpam-4312	172	18	)	)	PUNCT
ejpam-4312	173	1	=	=	NOUN
ejpam-4312	173	2	−	−	PROPN
ejpam-4312	173	3	(	(	PUNCT
ejpam-4312	173	4	(	(	PUNCT
ejpam-4312	173	5	k($	k($	SYM
ejpam-4312	173	6	−	−	PROPN
ejpam-4312	174	1	1))(α((βι(π(δ	1))(α((βι(π(δ	NUM
ejpam-4312	174	2	+	+	SYM
ejpam-4312	174	3	µ	µ	X
ejpam-4312	174	4	)	)	PUNCT
ejpam-4312	175	1	+	+	CCONJ
ejpam-4312	175	2	δλ))(δ	δλ))(δ	PROPN
ejpam-4312	176	1	+	+	CCONJ
ejpam-4312	176	2	ε+	ε+	X
ejpam-4312	176	3	η	η	PROPN
ejpam-4312	176	4	+	+	PROPN
ejpam-4312	176	5	µ+	µ+	PROPN
ejpam-4312	176	6	ς	ς	PROPN
ejpam-4312	176	7	)	)	PUNCT
ejpam-4312	177	1	+	+	CCONJ
ejpam-4312	177	2	(	(	PUNCT
ejpam-4312	177	3	λ(θ	λ(θ	PROPN
ejpam-4312	177	4	+	+	CCONJ
ejpam-4312	177	5	µ	µ	X
ejpam-4312	177	6	)	)	PUNCT
ejpam-4312	177	7	+	+	NUM
ejpam-4312	177	8	θπ	θπ	X
ejpam-4312	177	9	)	)	PUNCT
ejpam-4312	177	10	(	(	PUNCT
ejpam-4312	177	11	ι(δ	ι(δ	PROPN
ejpam-4312	177	12	+	+	CCONJ
ejpam-4312	177	13	ε	ε	PROPN
ejpam-4312	177	14	)	)	PUNCT
ejpam-4312	177	15	+	+	CCONJ
ejpam-4312	177	16	µ+	µ+	X
ejpam-4312	177	17	ς	ς	PROPN
ejpam-4312	177	18	+	+	PROPN
ejpam-4312	177	19	ϕ	ϕ	NOUN
ejpam-4312	177	20	)	)	PUNCT
ejpam-4312	177	21	)	)	PUNCT
ejpam-4312	178	1	+	+	CCONJ
ejpam-4312	178	2	βδ2λµ%+	βδ2λµ%+	PROPN
ejpam-4312	178	3	βδ2λ%ς	βδ2λ%ς	PROPN
ejpam-4312	178	4	+	+	CCONJ
ejpam-4312	178	5	βδ2µπ%+	βδ2µπ%+	PROPN
ejpam-4312	178	6	βδ2π%ς	βδ2π%ς	X
ejpam-4312	179	1	+	+	CCONJ
ejpam-4312	179	2	ϕ((β(π(δ	ϕ((β(π(δ	PROPN
ejpam-4312	180	1	+	+	CCONJ
ejpam-4312	180	2	µ	µ	X
ejpam-4312	180	3	)	)	PUNCT
ejpam-4312	180	4	+	+	NUM
ejpam-4312	180	5	δλ	δλ	NOUN
ejpam-4312	180	6	)	)	PUNCT
ejpam-4312	180	7	)	)	PUNCT
ejpam-4312	181	1	(	(	PUNCT
ejpam-4312	181	2	%	%	INTJ
ejpam-4312	181	3	(	(	PUNCT
ejpam-4312	181	4	δ	δ	NOUN
ejpam-4312	181	5	+	+	X
ejpam-4312	181	6	ε+	ε+	X
ejpam-4312	181	7	η	η	PROPN
ejpam-4312	181	8	+	+	PROPN
ejpam-4312	181	9	µ+	µ+	PROPN
ejpam-4312	181	10	ς	ς	PROPN
ejpam-4312	181	11	)	)	PUNCT
ejpam-4312	181	12	+	+	NUM
ejpam-4312	181	13	θ	θ	X
ejpam-4312	181	14	)	)	PUNCT
ejpam-4312	181	15	+	+	CCONJ
ejpam-4312	181	16	(	(	PUNCT
ejpam-4312	181	17	δ%+	δ%+	X
ejpam-4312	181	18	θ	θ	PROPN
ejpam-4312	181	19	+	+	CCONJ
ejpam-4312	181	20	µ+	µ+	X
ejpam-4312	181	21	ς)(λ(θ	ς)(λ(θ	X
ejpam-4312	181	22	+	+	NUM
ejpam-4312	181	23	µ	µ	X
ejpam-4312	181	24	)	)	PUNCT
ejpam-4312	181	25	+	+	NUM
ejpam-4312	181	26	θπ	θπ	NOUN
ejpam-4312	181	27	)	)	PUNCT
ejpam-4312	181	28	)	)	PUNCT
ejpam-4312	182	1	+	+	CCONJ
ejpam-4312	182	2	βµ3π%+	βµ3π%+	VERB
ejpam-4312	182	3	2βµ2π%ς	2βµ2π%ς	X
ejpam-4312	182	4	+	+	CCONJ
ejpam-4312	182	5	2βδµ2π%+	2βδµ2π%+	NUM
ejpam-4312	182	6	βδεθιλ	βδεθιλ	NOUN
ejpam-4312	182	7	+	+	CCONJ
ejpam-4312	182	8	βδεθιπ+	βδεθιπ+	X
ejpam-4312	182	9	βδελµ%+	βδελµ%+	X
ejpam-4312	182	10	βδελ%ς	βδελ%ς	NOUN
ejpam-4312	182	11	+	+	CCONJ
ejpam-4312	182	12	βδεµπ%+	βδεµπ%+	NUM
ejpam-4312	182	13	βδεπ%ς	βδεπ%ς	NOUN
ejpam-4312	182	14	+	+	CCONJ
ejpam-4312	182	15	βδηλµ%	βδηλµ%	PUNCT
ejpam-4312	182	16	+	+	NUM
ejpam-4312	182	17	βδηλ%ς	βδηλ%ς	NOUN
ejpam-4312	182	18	+	+	CCONJ
ejpam-4312	182	19	βδηµπ%+	βδηµπ%+	PUNCT
ejpam-4312	182	20	βδηπ%ς	βδηπ%ς	NOUN
ejpam-4312	182	21	+	+	CCONJ
ejpam-4312	182	22	βδθλµ+	βδθλµ+	X
ejpam-4312	182	23	βδθλς	βδθλς	NOUN
ejpam-4312	182	24	+	+	CCONJ
ejpam-4312	182	25	βδθµπ+	βδθµπ+	X
ejpam-4312	182	26	βδθπς	βδθπς	NOUN
ejpam-4312	182	27	+	+	CCONJ
ejpam-4312	182	28	βδλµ2	βδλµ2	NOUN
ejpam-4312	182	29	%	%	NOUN
ejpam-4312	182	30	+	+	X
ejpam-4312	182	31	2βδλµ%ς	2βδλµ%ς	NUM
ejpam-4312	183	1	+	+	CCONJ
ejpam-4312	183	2	βδλ%ς2	βδλ%ς2	PUNCT
ejpam-4312	183	3	+	+	NOUN
ejpam-4312	183	4	3βδµπ%ς	3βδµπ%ς	NUM
ejpam-4312	183	5	+	+	CCONJ
ejpam-4312	183	6	βδπ%ς2	βδπ%ς2	PUNCT
ejpam-4312	183	7	+	+	PUNCT
ejpam-4312	183	8	βεµ2π%+	βεµ2π%+	PUNCT
ejpam-4312	183	9	βεθιµπ+	βεθιµπ+	X
ejpam-4312	183	10	βεµπ%ς	βεµπ%ς	PUNCT
ejpam-4312	183	11	+	+	CCONJ
ejpam-4312	183	12	βηµ2π%	βηµ2π%	NUM
ejpam-4312	183	13	+	+	NUM
ejpam-4312	183	14	βηµπ%ς	βηµπ%ς	NOUN
ejpam-4312	183	15	+	+	CCONJ
ejpam-4312	183	16	βθµ2π+	βθµ2π+	NOUN
ejpam-4312	183	17	βθµπς	βθµπς	NOUN
ejpam-4312	183	18	+	+	CCONJ
ejpam-4312	183	19	βµπ%ς2	βµπ%ς2	PUNCT
ejpam-4312	183	20	+	+	CCONJ
ejpam-4312	183	21	(	(	PUNCT
ejpam-4312	183	22	ει+	ει+	PROPN
ejpam-4312	183	23	µ+	µ+	X
ejpam-4312	183	24	ς	ς	PROPN
ejpam-4312	183	25	+	+	CCONJ
ejpam-4312	183	26	ϕ)(γ(θ(λ	ϕ)(γ(θ(λ	PROPN
ejpam-4312	183	27	+	+	CCONJ
ejpam-4312	183	28	π	π	X
ejpam-4312	183	29	)	)	PUNCT
ejpam-4312	183	30	+	+	CCONJ
ejpam-4312	183	31	λµ	λµ	NOUN
ejpam-4312	183	32	)	)	PUNCT
ejpam-4312	183	33	)	)	PUNCT
ejpam-4312	184	1	+	+	CCONJ
ejpam-4312	184	2	δθλµ%+	δθλµ%+	PROPN
ejpam-4312	184	3	δθλ%ς	δθλ%ς	NOUN
ejpam-4312	184	4	+	+	CCONJ
ejpam-4312	184	5	δθµπ%+	δθµπ%+	VERB
ejpam-4312	184	6	δθπ%ς	δθπ%ς	PROPN
ejpam-4312	184	7	+	+	CCONJ
ejpam-4312	184	8	δλµ2%+	δλµ2%+	PROPN
ejpam-4312	184	9	δλµ%ς	δλµ%ς	VERB
ejpam-4312	184	10	+	+	CCONJ
ejpam-4312	184	11	εθ2ιλ	εθ2ιλ	NUM
ejpam-4312	184	12	+	+	CCONJ
ejpam-4312	184	13	εθ2ιπ+	εθ2ιπ+	ADJ
ejpam-4312	184	14	2εθιλµ	2εθιλµ	NUM
ejpam-4312	184	15	+	+	NUM
ejpam-4312	184	16	εθιλς	εθιλς	NOUN
ejpam-4312	184	17	+	+	CCONJ
ejpam-4312	184	18	εθιµπ+	εθιµπ+	X
ejpam-4312	184	19	εθιπς	εθιπς	NOUN
ejpam-4312	184	20	+	+	CCONJ
ejpam-4312	184	21	ειλµ2	ειλµ2	NOUN
ejpam-4312	184	22	+	+	CCONJ
ejpam-4312	184	23	ειλµς	ειλµς	PROPN
ejpam-4312	184	24	+	+	CCONJ
ejpam-4312	184	25	θ2λµ+	θ2λµ+	PROPN
ejpam-4312	184	26	θ2λς	θ2λς	VERB
ejpam-4312	184	27	+	+	CCONJ
ejpam-4312	184	28	θ2µπ+	θ2µπ+	PROPN
ejpam-4312	184	29	θ2πς	θ2πς	PUNCT
ejpam-4312	184	30	+	+	PUNCT
ejpam-4312	184	31	θµ2π	θµ2π	NOUN
ejpam-4312	184	32	+	+	CCONJ
ejpam-4312	184	33	2θλµ2	2θλµ2	NOUN
ejpam-4312	184	34	+	+	CCONJ
ejpam-4312	184	35	θλς2	θλς2	ADJ
ejpam-4312	184	36	+	+	CCONJ
ejpam-4312	184	37	3θλµς	3θλµς	NUM
ejpam-4312	184	38	+	+	CCONJ
ejpam-4312	184	39	2θµπς	2θµπς	NUM
ejpam-4312	184	40	+	+	CCONJ
ejpam-4312	184	41	θπς2	θπς2	NOUN
ejpam-4312	184	42	+	+	CCONJ
ejpam-4312	184	43	λµ3	λµ3	VERB
ejpam-4312	184	44	+	+	CCONJ
ejpam-4312	184	45	2λµ2ς	2λµ2ς	NUM
ejpam-4312	184	46	+	+	NUM
ejpam-4312	184	47	λµς2))/	λµς2))/	X
ejpam-4312	184	48	(	(	PUNCT
ejpam-4312	184	49	(	(	PUNCT
ejpam-4312	184	50	λ	λ	X
ejpam-4312	184	51	+	+	NUM
ejpam-4312	184	52	π)(δ	π)(δ	PUNCT
ejpam-4312	185	1	+	+	NUM
ejpam-4312	185	2	θ	θ	X
ejpam-4312	185	3	+	+	PUNCT
ejpam-4312	185	4	µ)(µ+	µ)(µ+	NOUN
ejpam-4312	185	5	ς	ς	PROPN
ejpam-4312	185	6	+	+	PROPN
ejpam-4312	185	7	ϕ)(α(δ	ϕ)(α(δ	PUNCT
ejpam-4312	185	8	+	+	PUNCT
ejpam-4312	185	9	ε+	ε+	X
ejpam-4312	185	10	η	η	PROPN
ejpam-4312	185	11	+	+	PROPN
ejpam-4312	185	12	µ+	µ+	PROPN
ejpam-4312	185	13	ς	ς	PROPN
ejpam-4312	185	14	)	)	PUNCT
ejpam-4312	186	1	+	+	CCONJ
ejpam-4312	186	2	γ(δ	γ(δ	PROPN
ejpam-4312	186	3	+	+	NUM
ejpam-4312	186	4	ε+	ε+	X
ejpam-4312	186	5	η	η	PROPN
ejpam-4312	186	6	+	+	PROPN
ejpam-4312	186	7	µ+	µ+	PROPN
ejpam-4312	186	8	ς	ς	PROPN
ejpam-4312	186	9	)	)	PUNCT
ejpam-4312	186	10	+	+	NUM
ejpam-4312	186	11	δ(µ+	δ(µ+	PROPN
ejpam-4312	186	12	ς	ς	NOUN
ejpam-4312	186	13	)	)	PUNCT
ejpam-4312	186	14	+	+	CCONJ
ejpam-4312	186	15	(	(	PUNCT
ejpam-4312	186	16	θ	θ	X
ejpam-4312	186	17	+	+	PUNCT
ejpam-4312	186	18	µ+	µ+	X
ejpam-4312	186	19	ς)(ε+	ς)(ε+	X
ejpam-4312	186	20	η	η	PROPN
ejpam-4312	186	21	+	+	PROPN
ejpam-4312	186	22	µ+	µ+	PROPN
ejpam-4312	186	23	ς	ς	PROPN
ejpam-4312	186	24	)	)	PUNCT
ejpam-4312	186	25	)	)	PUNCT
ejpam-4312	186	26	)	)	PUNCT
ejpam-4312	186	27	.	.	PUNCT
ejpam-4312	187	1	substituting	substitute	VERB
ejpam-4312	187	2	the	the	DET
ejpam-4312	187	3	parameter	parameter	NOUN
ejpam-4312	187	4	values	value	NOUN
ejpam-4312	187	5	in	in	ADP
ejpam-4312	187	6	table	table	NOUN
ejpam-4312	187	7	2	2	NUM
ejpam-4312	187	8	into	into	ADP
ejpam-4312	187	9	the	the	DET
ejpam-4312	187	10	spectral	spectral	ADJ
ejpam-4312	187	11	radius	radius	NOUN
ejpam-4312	187	12	ρ(fv	ρ(fv	PROPN
ejpam-4312	187	13	−1	−1	NOUN
ejpam-4312	187	14	)	)	PUNCT
ejpam-4312	187	15	,	,	PUNCT
ejpam-4312	187	16	we	we	PRON
ejpam-4312	187	17	obtain	obtain	VERB
ejpam-4312	187	18	the	the	DET
ejpam-4312	187	19	basic	basic	ADJ
ejpam-4312	187	20	reproduction	reproduction	NOUN
ejpam-4312	187	21	r0	r0	NOUN
ejpam-4312	187	22	as	as	ADP
ejpam-4312	187	23	j.	j.	PROPN
ejpam-4312	187	24	tsetimi	tsetimi	PROPN
ejpam-4312	187	25	,	,	PUNCT
ejpam-4312	187	26	m.	m.	NOUN
ejpam-4312	187	27	i.	i.	PROPN
ejpam-4312	187	28	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	187	29	,	,	PUNCT
ejpam-4312	187	30	a.	a.	PROPN
ejpam-4312	187	31	atonuje	atonuje	PROPN
ejpam-4312	187	32	/	/	SYM
ejpam-4312	187	33	eur	eur	PROPN
ejpam-4312	187	34	.	.	PUNCT
ejpam-4312	188	1	j.	j.	PROPN
ejpam-4312	188	2	pure	pure	PROPN
ejpam-4312	188	3	appl	appl	PROPN
ejpam-4312	188	4	.	.	PROPN
ejpam-4312	188	5	math	math	PROPN
ejpam-4312	188	6	,	,	PUNCT
ejpam-4312	188	7	15	15	NUM
ejpam-4312	188	8	(	(	PUNCT
ejpam-4312	188	9	2	2	NUM
ejpam-4312	188	10	)	)	PUNCT
ejpam-4312	188	11	(	(	PUNCT
ejpam-4312	188	12	2022	2022	NUM
ejpam-4312	188	13	)	)	PUNCT
ejpam-4312	188	14	,	,	PUNCT
ejpam-4312	188	15	537	537	NUM
ejpam-4312	188	16	-	-	SYM
ejpam-4312	188	17	556	556	NUM
ejpam-4312	188	18	547	547	NUM
ejpam-4312	188	19	r0	r0	NOUN
ejpam-4312	188	20	=	=	SYM
ejpam-4312	188	21	ρ(fv	ρ(fv	NOUN
ejpam-4312	188	22	−1	−1	NOUN
ejpam-4312	188	23	)	)	PUNCT
ejpam-4312	188	24	=	=	SYM
ejpam-4312	188	25	0.58599	0.58599	NUM
ejpam-4312	188	26	.	.	PUNCT
ejpam-4312	189	1	(	(	PUNCT
ejpam-4312	189	2	27	27	NUM
ejpam-4312	189	3	)	)	PUNCT
ejpam-4312	189	4	the	the	DET
ejpam-4312	189	5	basic	basic	ADJ
ejpam-4312	189	6	reproduction	reproduction	NOUN
ejpam-4312	189	7	number	number	NOUN
ejpam-4312	189	8	represents	represent	VERB
ejpam-4312	189	9	the	the	DET
ejpam-4312	189	10	average	average	ADJ
ejpam-4312	189	11	number	number	NOUN
ejpam-4312	189	12	of	of	ADP
ejpam-4312	189	13	secondary	secondary	ADJ
ejpam-4312	189	14	cases	case	NOUN
ejpam-4312	189	15	of	of	ADP
ejpam-4312	189	16	the	the	DET
ejpam-4312	189	17	covid-19	covid-19	PROPN
ejpam-4312	189	18	infection	infection	NOUN
ejpam-4312	189	19	generated	generate	VERB
ejpam-4312	189	20	by	by	ADP
ejpam-4312	189	21	an	an	DET
ejpam-4312	189	22	infected	infected	ADJ
ejpam-4312	189	23	woman	woman	NOUN
ejpam-4312	189	24	in	in	ADP
ejpam-4312	189	25	a	a	DET
ejpam-4312	189	26	completely	completely	ADV
ejpam-4312	189	27	susceptible	susceptible	ADJ
ejpam-4312	189	28	women	woman	NOUN
ejpam-4312	189	29	population	population	NOUN
ejpam-4312	189	30	.	.	PUNCT
ejpam-4312	190	1	if	if	SCONJ
ejpam-4312	190	2	the	the	DET
ejpam-4312	190	3	initial	initial	ADJ
ejpam-4312	190	4	sizes	size	NOUN
ejpam-4312	190	5	of	of	ADP
ejpam-4312	190	6	the	the	DET
ejpam-4312	190	7	compartments	compartment	NOUN
ejpam-4312	190	8	of	of	ADP
ejpam-4312	190	9	the	the	DET
ejpam-4312	190	10	model	model	NOUN
ejpam-4312	190	11	are	be	AUX
ejpam-4312	190	12	within	within	ADP
ejpam-4312	190	13	the	the	DET
ejpam-4312	190	14	basin	basin	NOUN
ejpam-4312	190	15	of	of	ADP
ejpam-4312	190	16	attraction	attraction	NOUN
ejpam-4312	190	17	of	of	ADP
ejpam-4312	190	18	the	the	DET
ejpam-4312	190	19	disease	disease	NOUN
ejpam-4312	190	20	-	-	PUNCT
ejpam-4312	190	21	free	free	ADJ
ejpam-4312	190	22	equilibrium	equilibrium	NOUN
ejpam-4312	190	23	,	,	PUNCT
ejpam-4312	190	24	then	then	ADV
ejpam-4312	190	25	the	the	DET
ejpam-4312	190	26	covid-19	covid-19	PROPN
ejpam-4312	190	27	disease	disease	NOUN
ejpam-4312	190	28	can	can	AUX
ejpam-4312	190	29	be	be	AUX
ejpam-4312	190	30	eliminated	eliminate	VERB
ejpam-4312	190	31	from	from	ADP
ejpam-4312	190	32	the	the	DET
ejpam-4312	190	33	population	population	NOUN
ejpam-4312	190	34	when	when	SCONJ
ejpam-4312	190	35	r0	r0	VERB
ejpam-4312	190	36	<	<	X
ejpam-4312	190	37	1	1	NUM
ejpam-4312	190	38	.	.	PUNCT
ejpam-4312	191	1	in	in	ADP
ejpam-4312	191	2	this	this	DET
ejpam-4312	191	3	case	case	NOUN
ejpam-4312	191	4	we	we	PRON
ejpam-4312	191	5	say	say	VERB
ejpam-4312	191	6	that	that	SCONJ
ejpam-4312	191	7	the	the	DET
ejpam-4312	191	8	disease	disease	NOUN
ejpam-4312	191	9	-	-	PUNCT
ejpam-4312	191	10	free	free	ADJ
ejpam-4312	191	11	equilibrium	equilibrium	NOUN
ejpam-4312	191	12	is	be	AUX
ejpam-4312	191	13	locally	locally	ADV
ejpam-4312	191	14	asymptotically	asymptotically	ADV
ejpam-4312	191	15	stable	stable	ADJ
ejpam-4312	191	16	if	if	SCONJ
ejpam-4312	191	17	the	the	DET
ejpam-4312	191	18	basic	basic	ADJ
ejpam-4312	191	19	reproduction	reproduction	NOUN
ejpam-4312	191	20	number	number	NOUN
ejpam-4312	191	21	is	be	AUX
ejpam-4312	191	22	less	less	ADJ
ejpam-4312	191	23	than	than	ADP
ejpam-4312	191	24	one	one	NUM
ejpam-4312	191	25	.	.	PUNCT
ejpam-4312	192	1	it	it	PRON
ejpam-4312	192	2	is	be	AUX
ejpam-4312	192	3	unstable	unstable	ADJ
ejpam-4312	192	4	if	if	SCONJ
ejpam-4312	192	5	r0	r0	NOUN
ejpam-4312	192	6	>	>	X
ejpam-4312	192	7	1	1	NUM
ejpam-4312	192	8	.	.	PUNCT
ejpam-4312	192	9	table	table	NOUN
ejpam-4312	192	10	2	2	NUM
ejpam-4312	192	11	:	:	PUNCT
ejpam-4312	192	12	parameter	parameter	NOUN
ejpam-4312	192	13	values	value	NOUN
ejpam-4312	192	14	parameters	parameter	NOUN
ejpam-4312	192	15	value	value	VERB
ejpam-4312	192	16	source	source	NOUN
ejpam-4312	192	17	κ	κ	PROPN
ejpam-4312	192	18	1.082	1.082	NUM
ejpam-4312	192	19	[	[	X
ejpam-4312	192	20	5	5	NUM
ejpam-4312	192	21	]	]	PUNCT
ejpam-4312	192	22	β	β	X
ejpam-4312	192	23	1.05	1.05	NUM
ejpam-4312	192	24	assumed	assume	VERB
ejpam-4312	192	25	.	.	PUNCT
ejpam-4312	193	1	δ	δ	PROPN
ejpam-4312	193	2	0.245	0.245	NUM
ejpam-4312	193	3	[	[	X
ejpam-4312	193	4	20	20	NUM
ejpam-4312	193	5	]	]	SYM
ejpam-4312	193	6	µ	µ	X
ejpam-4312	193	7	0.0182	0.0182	NUM
ejpam-4312	193	8	[	[	X
ejpam-4312	193	9	3	3	NUM
ejpam-4312	193	10	]	]	X
ejpam-4312	193	11	p	p	X
ejpam-4312	193	12	0.6	0.6	NUM
ejpam-4312	193	13	assumed	assume	VERB
ejpam-4312	193	14	λ	λ	PROPN
ejpam-4312	193	15	0.0755	0.0755	NUM
ejpam-4312	193	16	estimated	estimate	VERB
ejpam-4312	193	17	from	from	ADP
ejpam-4312	193	18	[	[	X
ejpam-4312	193	19	5	5	NUM
ejpam-4312	193	20	]	]	PUNCT
ejpam-4312	193	21	and	and	CCONJ
ejpam-4312	193	22	[	[	X
ejpam-4312	193	23	20	20	NUM
ejpam-4312	193	24	]	]	SYM
ejpam-4312	193	25	ς	ς	PROPN
ejpam-4312	193	26	0.022	0.022	NUM
ejpam-4312	193	27	[	[	X
ejpam-4312	193	28	3	3	NUM
ejpam-4312	193	29	]	]	PUNCT
ejpam-4312	193	30	ψ	ψ	ADP
ejpam-4312	193	31	0.00755	0.00755	NUM
ejpam-4312	193	32	assumed	assume	VERB
ejpam-4312	193	33	ε	ε	PROPN
ejpam-4312	193	34	0.154	0.154	NUM
ejpam-4312	193	35	citeenahorooluwaseuncalistusabba	citeenahorooluwaseuncalistusabba	NOUN
ejpam-4312	193	36	ι	ι	ADP
ejpam-4312	193	37	0.1	0.1	NUM
ejpam-4312	193	38	assumed	assume	VERB
ejpam-4312	193	39	η	η	PROPN
ejpam-4312	193	40	1/7	1/7	NUM
ejpam-4312	193	41	per	per	ADP
ejpam-4312	193	42	day	day	NOUN
ejpam-4312	194	1	[	[	X
ejpam-4312	194	2	16	16	NUM
ejpam-4312	194	3	]	]	X
ejpam-4312	194	4	θ	θ	PROPN
ejpam-4312	194	5	36.440	36.440	NUM
ejpam-4312	194	6	births	birth	NOUN
ejpam-4312	194	7	per	per	ADP
ejpam-4312	194	8	1000	1000	NUM
ejpam-4312	194	9	[	[	X
ejpam-4312	194	10	12	12	NUM
ejpam-4312	194	11	]	]	SYM
ejpam-4312	194	12	$	$	SYM
ejpam-4312	194	13	0.45	0.45	NUM
ejpam-4312	194	14	assumed	assume	VERB
ejpam-4312	194	15	%	%	NOUN
ejpam-4312	194	16	0.04	0.04	NUM
ejpam-4312	194	17	assumed	assume	VERB
ejpam-4312	194	18	ϕ	ϕ	PROPN
ejpam-4312	194	19	1/14	1/14	NUM
ejpam-4312	194	20	per	per	ADP
ejpam-4312	194	21	day	day	NOUN
ejpam-4312	194	22	[	[	X
ejpam-4312	194	23	16	16	NUM
ejpam-4312	194	24	,	,	PUNCT
ejpam-4312	194	25	22	22	NUM
ejpam-4312	194	26	]	]	X
ejpam-4312	194	27	π	π	PROPN
ejpam-4312	194	28	0.0245	0.0245	NUM
ejpam-4312	194	29	estimated	estimate	VERB
ejpam-4312	194	30	from	from	ADP
ejpam-4312	194	31	[	[	X
ejpam-4312	194	32	5	5	NUM
ejpam-4312	194	33	]	]	PUNCT
ejpam-4312	194	34	and	and	CCONJ
ejpam-4312	194	35	[	[	X
ejpam-4312	194	36	20	20	NUM
ejpam-4312	194	37	]	]	PUNCT
ejpam-4312	194	38	σ	σ	PROPN
ejpam-4312	194	39	0.00245	0.00245	NUM
ejpam-4312	194	40	assumed	assume	VERB
ejpam-4312	194	41	γ	γ	X
ejpam-4312	194	42	1/7	1/7	NUM
ejpam-4312	194	43	per	per	ADP
ejpam-4312	194	44	day	day	NOUN
ejpam-4312	194	45	[	[	X
ejpam-4312	194	46	16	16	NUM
ejpam-4312	194	47	,	,	PUNCT
ejpam-4312	194	48	22	22	NUM
ejpam-4312	194	49	]	]	PUNCT
ejpam-4312	194	50	α	α	PRON
ejpam-4312	194	51	0.154	0.154	NUM
ejpam-4312	194	52	[	[	X
ejpam-4312	194	53	5	5	NUM
ejpam-4312	194	54	]	]	SYM
ejpam-4312	194	55	ζ	ζ	X
ejpam-4312	194	56	0.07	0.07	NUM
ejpam-4312	194	57	assumed	assume	VERB
ejpam-4312	194	58	4	4	NUM
ejpam-4312	194	59	.	.	PUNCT
ejpam-4312	194	60	sensitivity	sensitivity	NOUN
ejpam-4312	194	61	analysis	analysis	NOUN
ejpam-4312	194	62	we	we	PRON
ejpam-4312	194	63	want	want	VERB
ejpam-4312	194	64	to	to	PART
ejpam-4312	194	65	show	show	VERB
ejpam-4312	194	66	the	the	DET
ejpam-4312	194	67	sensitivity	sensitivity	NOUN
ejpam-4312	194	68	of	of	ADP
ejpam-4312	194	69	the	the	DET
ejpam-4312	194	70	parameters	parameter	NOUN
ejpam-4312	194	71	of	of	ADP
ejpam-4312	194	72	the	the	DET
ejpam-4312	194	73	basic	basic	ADJ
ejpam-4312	194	74	reproduction	reproduction	NOUN
ejpam-4312	194	75	number	number	NOUN
ejpam-4312	194	76	on	on	ADP
ejpam-4312	194	77	the	the	DET
ejpam-4312	194	78	value	value	NOUN
ejpam-4312	194	79	of	of	ADP
ejpam-4312	194	80	r0	r0	NOUN
ejpam-4312	194	81	.	.	PUNCT
ejpam-4312	195	1	we	we	PRON
ejpam-4312	195	2	employ	employ	VERB
ejpam-4312	195	3	the	the	DET
ejpam-4312	195	4	approach	approach	NOUN
ejpam-4312	195	5	used	use	VERB
ejpam-4312	195	6	by	by	ADP
ejpam-4312	195	7	kizito	kizito	NOUN
ejpam-4312	195	8	and	and	CCONJ
ejpam-4312	195	9	tumwiine	tumwiine	NOUN
ejpam-4312	195	10	[	[	X
ejpam-4312	195	11	7	7	X
ejpam-4312	195	12	]	]	PUNCT
ejpam-4312	195	13	to	to	PART
ejpam-4312	195	14	compute	compute	VERB
ejpam-4312	195	15	the	the	DET
ejpam-4312	195	16	sensitivity	sensitivity	NOUN
ejpam-4312	195	17	of	of	ADP
ejpam-4312	195	18	the	the	DET
ejpam-4312	195	19	parameters	parameter	NOUN
ejpam-4312	195	20	of	of	ADP
ejpam-4312	195	21	r0	r0	NOUN
ejpam-4312	195	22	.	.	PUNCT
ejpam-4312	196	1	the	the	DET
ejpam-4312	196	2	sensitivity	sensitivity	NOUN
ejpam-4312	196	3	of	of	ADP
ejpam-4312	196	4	a	a	DET
ejpam-4312	196	5	parameter	parameter	NOUN
ejpam-4312	196	6	,	,	PUNCT
ejpam-4312	196	7	say	say	VERB
ejpam-4312	196	8	µ	µ	NUM
ejpam-4312	196	9	,	,	PUNCT
ejpam-4312	196	10	of	of	ADP
ejpam-4312	196	11	r0	r0	NOUN
ejpam-4312	196	12	is	be	AUX
ejpam-4312	196	13	defined	define	VERB
ejpam-4312	196	14	as	as	ADP
ejpam-4312	196	15	ζr0	ζr0	NOUN
ejpam-4312	196	16	µ	µ	X
ejpam-4312	196	17	=	=	PUNCT
ejpam-4312	197	1	∂r0	∂r0	ADP
ejpam-4312	197	2	∂µ	∂µ	PROPN
ejpam-4312	197	3	×	×	NOUN
ejpam-4312	197	4	µ	µ	X
ejpam-4312	197	5	r0	r0	NOUN
ejpam-4312	197	6	.	.	PUNCT
ejpam-4312	198	1	(	(	PUNCT
ejpam-4312	198	2	28	28	NUM
ejpam-4312	198	3	)	)	PUNCT
ejpam-4312	198	4	j.	j.	PROPN
ejpam-4312	198	5	tsetimi	tsetimi	PROPN
ejpam-4312	198	6	,	,	PUNCT
ejpam-4312	198	7	m.	m.	NOUN
ejpam-4312	198	8	i.	i.	PROPN
ejpam-4312	198	9	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	198	10	,	,	PUNCT
ejpam-4312	198	11	a.	a.	PROPN
ejpam-4312	198	12	atonuje	atonuje	PROPN
ejpam-4312	198	13	/	/	SYM
ejpam-4312	198	14	eur	eur	PROPN
ejpam-4312	198	15	.	.	PUNCT
ejpam-4312	199	1	j.	j.	PROPN
ejpam-4312	199	2	pure	pure	PROPN
ejpam-4312	199	3	appl	appl	PROPN
ejpam-4312	199	4	.	.	PROPN
ejpam-4312	199	5	math	math	PROPN
ejpam-4312	199	6	,	,	PUNCT
ejpam-4312	199	7	15	15	NUM
ejpam-4312	199	8	(	(	PUNCT
ejpam-4312	199	9	2	2	NUM
ejpam-4312	199	10	)	)	PUNCT
ejpam-4312	199	11	(	(	PUNCT
ejpam-4312	199	12	2022	2022	NUM
ejpam-4312	199	13	)	)	PUNCT
ejpam-4312	199	14	,	,	PUNCT
ejpam-4312	199	15	537	537	NUM
ejpam-4312	199	16	-	-	SYM
ejpam-4312	199	17	556	556	NUM
ejpam-4312	199	18	548	548	NUM
ejpam-4312	199	19	the	the	DET
ejpam-4312	199	20	sensitivity	sensitivity	NOUN
ejpam-4312	199	21	analysis	analysis	NOUN
ejpam-4312	199	22	analysis	analysis	NOUN
ejpam-4312	199	23	of	of	ADP
ejpam-4312	199	24	the	the	DET
ejpam-4312	199	25	parameters	parameter	NOUN
ejpam-4312	199	26	of	of	ADP
ejpam-4312	199	27	the	the	DET
ejpam-4312	199	28	basic	basic	ADJ
ejpam-4312	199	29	reproduction	reproduction	NOUN
ejpam-4312	199	30	number	number	NOUN
ejpam-4312	199	31	r0	r0	NOUN
ejpam-4312	199	32	reveals	reveal	VERB
ejpam-4312	199	33	the	the	DET
ejpam-4312	199	34	level	level	NOUN
ejpam-4312	199	35	of	of	ADP
ejpam-4312	199	36	sensitivity	sensitivity	NOUN
ejpam-4312	199	37	of	of	ADP
ejpam-4312	199	38	each	each	DET
ejpam-4312	199	39	parameter	parameter	NOUN
ejpam-4312	199	40	of	of	ADP
ejpam-4312	199	41	r0	r0	NOUN
ejpam-4312	199	42	to	to	ADP
ejpam-4312	199	43	very	very	ADV
ejpam-4312	199	44	small	small	ADJ
ejpam-4312	199	45	changes	change	NOUN
ejpam-4312	199	46	in	in	ADP
ejpam-4312	199	47	their	their	PRON
ejpam-4312	199	48	values	value	NOUN
ejpam-4312	199	49	.	.	PUNCT
ejpam-4312	200	1	this	this	DET
ejpam-4312	200	2	analysis	analysis	NOUN
ejpam-4312	200	3	is	be	AUX
ejpam-4312	200	4	important	important	ADJ
ejpam-4312	200	5	because	because	SCONJ
ejpam-4312	200	6	for	for	ADP
ejpam-4312	200	7	proper	proper	ADJ
ejpam-4312	200	8	disease	disease	NOUN
ejpam-4312	200	9	control	control	NOUN
ejpam-4312	200	10	and	and	CCONJ
ejpam-4312	200	11	possible	possible	ADJ
ejpam-4312	200	12	elimination	elimination	NOUN
ejpam-4312	200	13	of	of	ADP
ejpam-4312	200	14	the	the	DET
ejpam-4312	200	15	covid-19	covid-19	PROPN
ejpam-4312	200	16	infection	infection	NOUN
ejpam-4312	200	17	,	,	PUNCT
ejpam-4312	200	18	the	the	DET
ejpam-4312	200	19	sensitivity	sensitivity	NOUN
ejpam-4312	200	20	analysis	analysis	NOUN
ejpam-4312	200	21	helps	help	VERB
ejpam-4312	200	22	to	to	PART
ejpam-4312	200	23	channel	channel	VERB
ejpam-4312	200	24	employed	employ	VERB
ejpam-4312	200	25	control	control	NOUN
ejpam-4312	200	26	measures	measure	NOUN
ejpam-4312	200	27	to	to	ADP
ejpam-4312	200	28	some	some	DET
ejpam-4312	200	29	targeted	target	VERB
ejpam-4312	200	30	parameters	parameter	NOUN
ejpam-4312	200	31	.	.	PUNCT
ejpam-4312	201	1	if	if	SCONJ
ejpam-4312	201	2	a	a	DET
ejpam-4312	201	3	parameter	parameter	NOUN
ejpam-4312	201	4	of	of	ADP
ejpam-4312	201	5	r0	r0	NOUN
ejpam-4312	201	6	has	have	VERB
ejpam-4312	201	7	high	high	ADJ
ejpam-4312	201	8	positive	positive	ADJ
ejpam-4312	201	9	sensitivity	sensitivity	NOUN
ejpam-4312	201	10	,	,	PUNCT
ejpam-4312	201	11	then	then	ADV
ejpam-4312	201	12	any	any	DET
ejpam-4312	201	13	small	small	ADJ
ejpam-4312	201	14	increment	increment	NOUN
ejpam-4312	201	15	in	in	ADP
ejpam-4312	201	16	the	the	DET
ejpam-4312	201	17	value	value	NOUN
ejpam-4312	201	18	of	of	ADP
ejpam-4312	201	19	the	the	DET
ejpam-4312	201	20	parameter	parameter	NOUN
ejpam-4312	201	21	can	can	AUX
ejpam-4312	201	22	greatly	greatly	ADV
ejpam-4312	201	23	increase	increase	VERB
ejpam-4312	201	24	the	the	DET
ejpam-4312	201	25	value	value	NOUN
ejpam-4312	201	26	of	of	ADP
ejpam-4312	201	27	r0	r0	NOUN
ejpam-4312	201	28	which	which	PRON
ejpam-4312	201	29	might	might	AUX
ejpam-4312	201	30	cause	cause	VERB
ejpam-4312	201	31	stability	stability	NOUN
ejpam-4312	201	32	for	for	ADP
ejpam-4312	201	33	the	the	DET
ejpam-4312	201	34	disease	disease	NOUN
ejpam-4312	201	35	endemic	endemic	ADJ
ejpam-4312	201	36	equilibrium	equilibrium	NOUN
ejpam-4312	201	37	of	of	ADP
ejpam-4312	201	38	the	the	DET
ejpam-4312	201	39	the	the	DET
ejpam-4312	201	40	covid-19	covid-19	PROPN
ejpam-4312	201	41	infection	infection	NOUN
ejpam-4312	201	42	.	.	PUNCT
ejpam-4312	202	1	table	table	NOUN
ejpam-4312	202	2	3	3	NUM
ejpam-4312	202	3	:	:	PUNCT
ejpam-4312	202	4	sensitivity	sensitivity	NOUN
ejpam-4312	202	5	of	of	ADP
ejpam-4312	202	6	parameters	parameter	NOUN
ejpam-4312	202	7	of	of	ADP
ejpam-4312	202	8	r0	r0	NOUN
ejpam-4312	202	9	.	.	PUNCT
ejpam-4312	203	1	parameters	parameter	NOUN
ejpam-4312	203	2	value	value	VERB
ejpam-4312	203	3	sesitivity	sesitivity	NOUN
ejpam-4312	203	4	κ	κ	ADP
ejpam-4312	203	5	1.082	1.082	NUM
ejpam-4312	203	6	+1.0000	+1.0000	NUM
ejpam-4312	203	7	β	β	X
ejpam-4312	204	1	1.05	1.05	NUM
ejpam-4312	204	2	+0.6177	+0.6177	NOUN
ejpam-4312	204	3	ι	ι	X
ejpam-4312	204	4	0.1	0.1	NUM
ejpam-4312	204	5	+0.4330	+0.4330	NUM
ejpam-4312	204	6	θ	θ	PROPN
ejpam-4312	204	7	36.440	36.440	NUM
ejpam-4312	204	8	births	birth	NOUN
ejpam-4312	204	9	per	per	ADP
ejpam-4312	204	10	1000	1000	NUM
ejpam-4312	204	11	+0.3075	+0.3075	NUM
ejpam-4312	204	12	%	%	NOUN
ejpam-4312	204	13	0.04	0.04	NUM
ejpam-4312	204	14	+0.1071	+0.1071	NOUN
ejpam-4312	204	15	α	α	NOUN
ejpam-4312	204	16	0.154	0.154	NUM
ejpam-4312	204	17	+0.0825	+0.0825	X
ejpam-4312	204	18	λ	λ	NOUN
ejpam-4312	204	19	0.0755	0.0755	NUM
ejpam-4312	204	20	+0.0173	+0.0173	NOUN
ejpam-4312	205	1	π	π	PROPN
ejpam-4312	205	2	0.0245	0.0245	NUM
ejpam-4312	205	3	-0.0173	-0.0173	PROPN
ejpam-4312	205	4	µ	µ	PROPN
ejpam-4312	205	5	0.0182	0.0182	NUM
ejpam-4312	205	6	-0.0683	-0.0683	NOUN
ejpam-4312	205	7	ε	ε	PROPN
ejpam-4312	205	8	0.154	0.154	NUM
ejpam-4312	205	9	-0.0958	-0.0958	PROPN
ejpam-4312	205	10	η	η	PROPN
ejpam-4312	205	11	1/7	1/7	NUM
ejpam-4312	205	12	per	per	ADP
ejpam-4312	205	13	day	day	NOUN
ejpam-4312	205	14	-0.1477	-0.1477	PROPN
ejpam-4312	205	15	ς	ς	PROPN
ejpam-4312	205	16	0.022	0.022	NUM
ejpam-4312	205	17	-0.1491	-0.1491	X
ejpam-4312	205	18	γ	γ	PROPN
ejpam-4312	205	19	1/7	1/7	NUM
ejpam-4312	205	20	per	per	ADP
ejpam-4312	205	21	day	day	NOUN
ejpam-4312	205	22	-0.2662	-0.2662	NOUN
ejpam-4312	205	23	ϕ	ϕ	PROPN
ejpam-4312	205	24	1/14	1/14	NUM
ejpam-4312	205	25	per	per	ADP
ejpam-4312	205	26	day	day	NOUN
ejpam-4312	205	27	-0.2771	-0.2771	NOUN
ejpam-4312	205	28	δ	δ	PROPN
ejpam-4312	205	29	0.245	0.245	NUM
ejpam-4312	205	30	-0.3859	-0.3859	NOUN
ejpam-4312	205	31	$	$	SYM
ejpam-4312	205	32	0.45	0.45	NUM
ejpam-4312	205	33	-0.8182	-0.8182	NOUN
ejpam-4312	205	34	the	the	DET
ejpam-4312	205	35	sensitivity	sensitivity	NOUN
ejpam-4312	205	36	indices	index	NOUN
ejpam-4312	205	37	are	be	AUX
ejpam-4312	205	38	shown	show	VERB
ejpam-4312	205	39	in	in	ADP
ejpam-4312	205	40	table	table	NOUN
ejpam-4312	205	41	3	3	NUM
ejpam-4312	205	42	.	.	PUNCT
ejpam-4312	205	43	from	from	ADP
ejpam-4312	205	44	the	the	DET
ejpam-4312	205	45	sensitivity	sensitivity	NOUN
ejpam-4312	205	46	analysis	analysis	NOUN
ejpam-4312	205	47	,	,	PUNCT
ejpam-4312	205	48	it	it	PRON
ejpam-4312	205	49	is	be	AUX
ejpam-4312	205	50	seen	see	VERB
ejpam-4312	205	51	that	that	SCONJ
ejpam-4312	205	52	the	the	DET
ejpam-4312	205	53	most	most	ADV
ejpam-4312	205	54	sensitive	sensitive	ADJ
ejpam-4312	205	55	parameters	parameter	NOUN
ejpam-4312	205	56	of	of	ADP
ejpam-4312	205	57	the	the	DET
ejpam-4312	205	58	basic	basic	ADJ
ejpam-4312	205	59	reproduction	reproduction	NOUN
ejpam-4312	205	60	number	number	NOUN
ejpam-4312	205	61	,	,	PUNCT
ejpam-4312	205	62	r0	r0	NOUN
ejpam-4312	205	63	,	,	PUNCT
ejpam-4312	205	64	are	be	AUX
ejpam-4312	205	65	the	the	DET
ejpam-4312	205	66	effective	effective	ADJ
ejpam-4312	205	67	contact	contact	NOUN
ejpam-4312	205	68	rate	rate	NOUN
ejpam-4312	205	69	κ	κ	PROPN
ejpam-4312	205	70	for	for	ADP
ejpam-4312	205	71	covid-19	covid-19	PROPN
ejpam-4312	205	72	transmission	transmission	NOUN
ejpam-4312	205	73	,	,	PUNCT
ejpam-4312	205	74	the	the	DET
ejpam-4312	205	75	modification	modification	NOUN
ejpam-4312	205	76	parameter	parameter	NOUN
ejpam-4312	205	77	β	β	X
ejpam-4312	205	78	accounting	account	VERB
ejpam-4312	205	79	for	for	ADP
ejpam-4312	205	80	increased	increase	VERB
ejpam-4312	205	81	susceptibility	susceptibility	NOUN
ejpam-4312	205	82	to	to	ADP
ejpam-4312	205	83	covid-19	covid-19	PROPN
ejpam-4312	205	84	infection	infection	NOUN
ejpam-4312	205	85	by	by	ADP
ejpam-4312	205	86	pregnant	pregnant	ADJ
ejpam-4312	205	87	women	woman	NOUN
ejpam-4312	205	88	,	,	PUNCT
ejpam-4312	205	89	the	the	DET
ejpam-4312	205	90	transmission	transmission	NOUN
ejpam-4312	205	91	coefficient	coefficient	NOUN
ejpam-4312	205	92	ι	ι	PROPN
ejpam-4312	205	93	of	of	ADP
ejpam-4312	205	94	the	the	DET
ejpam-4312	205	95	hospitalised	hospitalised	ADJ
ejpam-4312	205	96	class	class	NOUN
ejpam-4312	205	97	,	,	PUNCT
ejpam-4312	205	98	the	the	DET
ejpam-4312	205	99	rate	rate	NOUN
ejpam-4312	205	100	of	of	ADP
ejpam-4312	205	101	delivery	delivery	NOUN
ejpam-4312	205	102	θ	θ	PROPN
ejpam-4312	205	103	of	of	ADP
ejpam-4312	205	104	newborns	newborn	NOUN
ejpam-4312	205	105	,	,	PUNCT
ejpam-4312	205	106	the	the	DET
ejpam-4312	205	107	transmission	transmission	NOUN
ejpam-4312	205	108	coefficient	coefficient	NOUN
ejpam-4312	205	109	%	%	NOUN
ejpam-4312	205	110	of	of	ADP
ejpam-4312	205	111	the	the	DET
ejpam-4312	205	112	infectious	infectious	ADJ
ejpam-4312	205	113	pregnant	pregnant	ADJ
ejpam-4312	205	114	women	woman	NOUN
ejpam-4312	205	115	,	,	PUNCT
ejpam-4312	205	116	and	and	CCONJ
ejpam-4312	205	117	amongst	amongst	ADP
ejpam-4312	205	118	the	the	DET
ejpam-4312	205	119	less	less	ADV
ejpam-4312	205	120	sensitive	sensitive	ADJ
ejpam-4312	205	121	parameters	parameter	NOUN
ejpam-4312	205	122	are	be	AUX
ejpam-4312	205	123	the	the	DET
ejpam-4312	205	124	conception	conception	NOUN
ejpam-4312	205	125	rate	rate	NOUN
ejpam-4312	205	126	δ	δ	PROPN
ejpam-4312	205	127	,	,	PUNCT
ejpam-4312	205	128	the	the	DET
ejpam-4312	205	129	recovery	recovery	NOUN
ejpam-4312	205	130	rate	rate	NOUN
ejpam-4312	205	131	ϕ	ϕ	PROPN
ejpam-4312	205	132	of	of	ADP
ejpam-4312	205	133	hospitalised	hospitalise	VERB
ejpam-4312	205	134	individuals	individual	NOUN
ejpam-4312	205	135	,	,	PUNCT
ejpam-4312	205	136	the	the	DET
ejpam-4312	205	137	recovery	recovery	NOUN
ejpam-4312	205	138	rate	rate	NOUN
ejpam-4312	205	139	γ	γ	NOUN
ejpam-4312	205	140	of	of	ADP
ejpam-4312	205	141	infectious	infectious	ADJ
ejpam-4312	205	142	pregnant	pregnant	ADJ
ejpam-4312	205	143	women	woman	NOUN
ejpam-4312	205	144	.	.	PUNCT
ejpam-4312	206	1	5	5	X
ejpam-4312	206	2	.	.	X
ejpam-4312	206	3	bifurcation	bifurcation	NOUN
ejpam-4312	206	4	analysis	analysis	NOUN
ejpam-4312	206	5	we	we	PRON
ejpam-4312	206	6	now	now	ADV
ejpam-4312	206	7	examine	examine	VERB
ejpam-4312	206	8	the	the	DET
ejpam-4312	206	9	type	type	NOUN
ejpam-4312	206	10	of	of	ADP
ejpam-4312	206	11	bifurcation	bifurcation	NOUN
ejpam-4312	206	12	exhibited	exhibit	VERB
ejpam-4312	206	13	by	by	ADP
ejpam-4312	206	14	the	the	DET
ejpam-4312	206	15	model	model	NOUN
ejpam-4312	206	16	(	(	PUNCT
ejpam-4312	206	17	9	9	NUM
ejpam-4312	206	18	)	)	PUNCT
ejpam-4312	206	19	.	.	PUNCT
ejpam-4312	207	1	by	by	ADP
ejpam-4312	207	2	this	this	DET
ejpam-4312	207	3	knowledge	knowledge	NOUN
ejpam-4312	207	4	,	,	PUNCT
ejpam-4312	207	5	we	we	PRON
ejpam-4312	207	6	are	be	AUX
ejpam-4312	207	7	equipped	equip	VERB
ejpam-4312	207	8	to	to	PART
ejpam-4312	207	9	know	know	VERB
ejpam-4312	207	10	if	if	SCONJ
ejpam-4312	207	11	fixing	fix	VERB
ejpam-4312	207	12	r0	r0	NOUN
ejpam-4312	207	13	<	<	X
ejpam-4312	207	14	1	1	NUM
ejpam-4312	207	15	is	be	AUX
ejpam-4312	207	16	enough	enough	ADJ
ejpam-4312	207	17	to	to	PART
ejpam-4312	207	18	‘	'	PUNCT
ejpam-4312	207	19	keep	keep	VERB
ejpam-4312	207	20	-	-	PUNCT
ejpam-4312	207	21	off	off	NOUN
ejpam-4312	207	22	’	'	PUNCT
ejpam-4312	207	23	the	the	DET
ejpam-4312	207	24	disease	disease	NOUN
ejpam-4312	207	25	-	-	PUNCT
ejpam-4312	207	26	endemic	endemic	ADJ
ejpam-4312	207	27	equilibrium	equilibrium	NOUN
ejpam-4312	207	28	.	.	PUNCT
ejpam-4312	208	1	the	the	DET
ejpam-4312	208	2	proof	proof	NOUN
ejpam-4312	208	3	is	be	AUX
ejpam-4312	208	4	established	establish	VERB
ejpam-4312	208	5	based	base	VERB
ejpam-4312	208	6	on	on	ADP
ejpam-4312	208	7	the	the	DET
ejpam-4312	208	8	centre	centre	NOUN
ejpam-4312	208	9	manifold	manifold	NOUN
ejpam-4312	208	10	theorem	theorem	NOUN
ejpam-4312	208	11	as	as	SCONJ
ejpam-4312	208	12	presented	present	VERB
ejpam-4312	208	13	by	by	ADP
ejpam-4312	208	14	castillo	castillo	PROPN
ejpam-4312	208	15	-	-	PUNCT
ejpam-4312	208	16	chavez	chavez	PROPN
ejpam-4312	208	17	and	and	CCONJ
ejpam-4312	208	18	song	song	NOUN
ejpam-4312	208	19	[	[	X
ejpam-4312	208	20	2	2	NUM
ejpam-4312	208	21	]	]	PUNCT
ejpam-4312	208	22	.	.	PUNCT
ejpam-4312	209	1	j.	j.	PROPN
ejpam-4312	209	2	tsetimi	tsetimi	PROPN
ejpam-4312	209	3	,	,	PUNCT
ejpam-4312	209	4	m.	m.	NOUN
ejpam-4312	209	5	i.	i.	PROPN
ejpam-4312	209	6	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	209	7	,	,	PUNCT
ejpam-4312	209	8	a.	a.	PROPN
ejpam-4312	209	9	atonuje	atonuje	PROPN
ejpam-4312	209	10	/	/	SYM
ejpam-4312	209	11	eur	eur	PROPN
ejpam-4312	209	12	.	.	PUNCT
ejpam-4312	210	1	j.	j.	PROPN
ejpam-4312	210	2	pure	pure	PROPN
ejpam-4312	210	3	appl	appl	PROPN
ejpam-4312	210	4	.	.	PROPN
ejpam-4312	210	5	math	math	PROPN
ejpam-4312	210	6	,	,	PUNCT
ejpam-4312	210	7	15	15	NUM
ejpam-4312	210	8	(	(	PUNCT
ejpam-4312	210	9	2	2	NUM
ejpam-4312	210	10	)	)	PUNCT
ejpam-4312	210	11	(	(	PUNCT
ejpam-4312	210	12	2022	2022	NUM
ejpam-4312	210	13	)	)	PUNCT
ejpam-4312	210	14	,	,	PUNCT
ejpam-4312	210	15	537	537	NUM
ejpam-4312	210	16	-	-	SYM
ejpam-4312	210	17	556	556	NUM
ejpam-4312	210	18	549	549	NUM
ejpam-4312	210	19	theorem	theorem	NOUN
ejpam-4312	210	20	3	3	NUM
ejpam-4312	210	21	.	.	PUNCT
ejpam-4312	211	1	[	[	X
ejpam-4312	211	2	2	2	NUM
ejpam-4312	211	3	]	]	PUNCT
ejpam-4312	211	4	:	:	PUNCT
ejpam-4312	211	5	consider	consider	VERB
ejpam-4312	211	6	the	the	DET
ejpam-4312	211	7	following	follow	VERB
ejpam-4312	211	8	general	general	ADJ
ejpam-4312	211	9	system	system	NOUN
ejpam-4312	211	10	of	of	ADP
ejpam-4312	211	11	odes	ode	NOUN
ejpam-4312	211	12	with	with	ADP
ejpam-4312	211	13	a	a	DET
ejpam-4312	211	14	parameter	parameter	NOUN
ejpam-4312	211	15	φ	φ	X
ejpam-4312	211	16	.	.	PUNCT
ejpam-4312	212	1	dy	dy	NOUN
ejpam-4312	212	2	dt	dt	NOUN
ejpam-4312	212	3	=	=	SYM
ejpam-4312	212	4	f(y	f(y	PROPN
ejpam-4312	212	5	,	,	PUNCT
ejpam-4312	212	6	φ	φ	NOUN
ejpam-4312	212	7	)	)	PUNCT
ejpam-4312	212	8	,	,	PUNCT
ejpam-4312	212	9	f	f	PROPN
ejpam-4312	212	10	:	:	PUNCT
ejpam-4312	212	11	rn	rn	PROPN
ejpam-4312	212	12	×	×	PROPN
ejpam-4312	212	13	r	r	NOUN
ejpam-4312	212	14	and	and	CCONJ
ejpam-4312	212	15	f	f	PROPN
ejpam-4312	212	16	∈	∈	PROPN
ejpam-4312	212	17	c2	c2	PROPN
ejpam-4312	212	18	(	(	PUNCT
ejpam-4312	212	19	rn	rn	PROPN
ejpam-4312	212	20	×	×	PROPN
ejpam-4312	212	21	r	r	NOUN
ejpam-4312	212	22	)	)	PUNCT
ejpam-4312	212	23	,	,	PUNCT
ejpam-4312	212	24	(	(	PUNCT
ejpam-4312	212	25	29	29	NUM
ejpam-4312	212	26	)	)	PUNCT
ejpam-4312	212	27	where	where	SCONJ
ejpam-4312	212	28	0	0	NUM
ejpam-4312	212	29	is	be	AUX
ejpam-4312	212	30	an	an	DET
ejpam-4312	212	31	equilibrium	equilibrium	NOUN
ejpam-4312	212	32	point	point	NOUN
ejpam-4312	212	33	of	of	ADP
ejpam-4312	212	34	the	the	DET
ejpam-4312	212	35	system	system	NOUN
ejpam-4312	212	36	(	(	PUNCT
ejpam-4312	212	37	that	that	PRON
ejpam-4312	212	38	is	be	AUX
ejpam-4312	212	39	,	,	PUNCT
ejpam-4312	212	40	f(0	f(0	NOUN
ejpam-4312	212	41	,	,	PUNCT
ejpam-4312	212	42	φ	φ	NUM
ejpam-4312	212	43	)	)	PUNCT
ejpam-4312	212	44	≡	≡	PROPN
ejpam-4312	212	45	0	0	PUNCT
ejpam-4312	213	1	for	for	ADP
ejpam-4312	213	2	all	all	DET
ejpam-4312	213	3	φ	φ	NOUN
ejpam-4312	213	4	and	and	CCONJ
ejpam-4312	213	5	assume	assume	VERB
ejpam-4312	213	6	a1	a1	NOUN
ejpam-4312	213	7	:	:	PUNCT
ejpam-4312	213	8	a	a	DET
ejpam-4312	213	9	=	=	PUNCT
ejpam-4312	213	10	dyf(0	dyf(0	NOUN
ejpam-4312	213	11	,	,	PUNCT
ejpam-4312	213	12	0	0	NUM
ejpam-4312	213	13	)	)	PUNCT
ejpam-4312	213	14	=	=	SYM
ejpam-4312	213	15	(	(	PUNCT
ejpam-4312	213	16	∂fi	∂fi	PROPN
ejpam-4312	213	17	∂yj	∂yj	NOUN
ejpam-4312	213	18	(	(	PUNCT
ejpam-4312	213	19	0	0	NUM
ejpam-4312	213	20	,	,	PUNCT
ejpam-4312	213	21	0	0	NUM
ejpam-4312	213	22	)	)	PUNCT
ejpam-4312	213	23	)	)	PUNCT
ejpam-4312	213	24	is	be	AUX
ejpam-4312	213	25	the	the	DET
ejpam-4312	213	26	linearization	linearization	NOUN
ejpam-4312	213	27	matrix	matrix	NOUN
ejpam-4312	213	28	of	of	ADP
ejpam-4312	213	29	the	the	DET
ejpam-4312	213	30	system	system	NOUN
ejpam-4312	213	31	(	(	PUNCT
ejpam-4312	213	32	29	29	NUM
ejpam-4312	213	33	)	)	PUNCT
ejpam-4312	213	34	around	around	ADP
ejpam-4312	213	35	the	the	DET
ejpam-4312	213	36	equilibrium	equilibrium	NOUN
ejpam-4312	213	37	point	point	NOUN
ejpam-4312	213	38	0	0	NUM
ejpam-4312	213	39	with	with	SCONJ
ejpam-4312	213	40	φ	φ	PROPN
ejpam-4312	213	41	evaluated	evaluate	VERB
ejpam-4312	213	42	at	at	ADP
ejpam-4312	213	43	0	0	NUM
ejpam-4312	213	44	.	.	X
ejpam-4312	213	45	zero	zero	NUM
ejpam-4312	213	46	is	be	AUX
ejpam-4312	213	47	a	a	DET
ejpam-4312	213	48	simple	simple	ADJ
ejpam-4312	213	49	eigenvalue	eigenvalue	NOUN
ejpam-4312	213	50	of	of	ADP
ejpam-4312	213	51	a	a	DET
ejpam-4312	213	52	and	and	CCONJ
ejpam-4312	213	53	other	other	ADJ
ejpam-4312	213	54	eigenvalues	eigenvalue	NOUN
ejpam-4312	213	55	of	of	ADP
ejpam-4312	213	56	a	a	DET
ejpam-4312	213	57	have	have	AUX
ejpam-4312	213	58	negative	negative	ADJ
ejpam-4312	213	59	real	real	ADJ
ejpam-4312	213	60	parts	part	NOUN
ejpam-4312	213	61	;	;	PUNCT
ejpam-4312	213	62	a2	a2	NOUN
ejpam-4312	213	63	:	:	PUNCT
ejpam-4312	213	64	matrix	matrix	NOUN
ejpam-4312	213	65	a	a	PRON
ejpam-4312	213	66	has	have	VERB
ejpam-4312	213	67	a	a	DET
ejpam-4312	213	68	right	right	ADJ
ejpam-4312	213	69	eigenvector	eigenvector	NOUN
ejpam-4312	213	70	w	w	PROPN
ejpam-4312	213	71	and	and	CCONJ
ejpam-4312	213	72	a	a	DET
ejpam-4312	213	73	left	left	ADJ
ejpam-4312	213	74	vector	vector	NOUN
ejpam-4312	213	75	v	v	NOUN
ejpam-4312	213	76	(	(	PUNCT
ejpam-4312	213	77	each	each	DET
ejpam-4312	213	78	corresponding	correspond	VERB
ejpam-4312	213	79	to	to	ADP
ejpam-4312	213	80	the	the	DET
ejpam-4312	213	81	zero	zero	NUM
ejpam-4312	213	82	eigenvalue	eigenvalue	NOUN
ejpam-4312	213	83	)	)	PUNCT
ejpam-4312	213	84	.	.	PUNCT
ejpam-4312	214	1	let	let	VERB
ejpam-4312	214	2	fk	fk	INTJ
ejpam-4312	214	3	be	be	AUX
ejpam-4312	214	4	the	the	DET
ejpam-4312	214	5	kth	kth	PROPN
ejpam-4312	214	6	component	component	NOUN
ejpam-4312	214	7	of	of	ADP
ejpam-4312	214	8	f	f	PROPN
ejpam-4312	214	9	and	and	CCONJ
ejpam-4312	214	10	a	a	DET
ejpam-4312	214	11	=	=	X
ejpam-4312	214	12	n∑	n∑	PROPN
ejpam-4312	214	13	i	i	PROPN
ejpam-4312	214	14	,	,	PUNCT
ejpam-4312	214	15	j	j	PROPN
ejpam-4312	214	16	,	,	PUNCT
ejpam-4312	214	17	k=1	k=1	PROPN
ejpam-4312	214	18	vkwiwj	vkwiwj	NOUN
ejpam-4312	214	19	∂2fk	∂2fk	NOUN
ejpam-4312	214	20	∂xi∂xj	∂xi∂xj	NOUN
ejpam-4312	214	21	(	(	PUNCT
ejpam-4312	214	22	0	0	NUM
ejpam-4312	214	23	,	,	PUNCT
ejpam-4312	214	24	0	0	NUM
ejpam-4312	214	25	)	)	PUNCT
ejpam-4312	214	26	,	,	PUNCT
ejpam-4312	215	1	(	(	PUNCT
ejpam-4312	215	2	30	30	NUM
ejpam-4312	215	3	)	)	PUNCT
ejpam-4312	215	4	b	b	NOUN
ejpam-4312	216	1	=	=	SYM
ejpam-4312	216	2	n∑	n∑	NOUN
ejpam-4312	216	3	i	i	PROPN
ejpam-4312	216	4	,	,	PUNCT
ejpam-4312	216	5	k=1	k=1	PROPN
ejpam-4312	216	6	vkwi	vkwi	PROPN
ejpam-4312	216	7	∂2fk	∂2fk	NOUN
ejpam-4312	216	8	∂xi∂φ	∂xi∂φ	NOUN
ejpam-4312	216	9	(	(	PUNCT
ejpam-4312	216	10	0	0	NUM
ejpam-4312	216	11	,	,	PUNCT
ejpam-4312	216	12	0	0	NUM
ejpam-4312	216	13	)	)	PUNCT
ejpam-4312	216	14	.	.	PUNCT
ejpam-4312	217	1	(	(	PUNCT
ejpam-4312	217	2	31	31	NUM
ejpam-4312	217	3	)	)	PUNCT
ejpam-4312	217	4	the	the	DET
ejpam-4312	217	5	local	local	ADJ
ejpam-4312	217	6	dynamics	dynamic	NOUN
ejpam-4312	217	7	of	of	ADP
ejpam-4312	217	8	the	the	DET
ejpam-4312	217	9	system	system	NOUN
ejpam-4312	217	10	(	(	PUNCT
ejpam-4312	217	11	29	29	NUM
ejpam-4312	217	12	)	)	PUNCT
ejpam-4312	217	13	around	around	ADV
ejpam-4312	217	14	0	0	NUM
ejpam-4312	217	15	is	be	AUX
ejpam-4312	217	16	totally	totally	ADV
ejpam-4312	217	17	determined	determine	VERB
ejpam-4312	217	18	by	by	ADP
ejpam-4312	217	19	the	the	DET
ejpam-4312	217	20	signs	sign	NOUN
ejpam-4312	217	21	of	of	ADP
ejpam-4312	217	22	a	a	PRON
ejpam-4312	217	23	and	and	CCONJ
ejpam-4312	217	24	b	b	NOUN
ejpam-4312	217	25	:	:	PUNCT
ejpam-4312	217	26	1	1	NUM
ejpam-4312	217	27	a	a	PRON
ejpam-4312	217	28	>	>	X
ejpam-4312	217	29	0	0	NUM
ejpam-4312	217	30	,	,	PUNCT
ejpam-4312	217	31	b	b	X
ejpam-4312	217	32	>	>	X
ejpam-4312	217	33	0	0	NUM
ejpam-4312	217	34	.	.	PUNCT
ejpam-4312	218	1	when	when	SCONJ
ejpam-4312	218	2	φ	φ	X
ejpam-4312	218	3	<	<	X
ejpam-4312	218	4	0	0	PROPN
ejpam-4312	218	5	with	with	ADP
ejpam-4312	218	6	|φ|	|φ|	PROPN
ejpam-4312	218	7	≤	≤	NOUN
ejpam-4312	218	8	1	1	NUM
ejpam-4312	218	9	,	,	PUNCT
ejpam-4312	218	10	0	0	NUM
ejpam-4312	218	11	is	be	AUX
ejpam-4312	218	12	locally	locally	ADV
ejpam-4312	218	13	asymptotically	asymptotically	ADV
ejpam-4312	218	14	stable	stable	ADJ
ejpam-4312	218	15	,	,	PUNCT
ejpam-4312	218	16	and	and	CCONJ
ejpam-4312	218	17	there	there	PRON
ejpam-4312	218	18	exists	exist	VERB
ejpam-4312	218	19	a	a	DET
ejpam-4312	218	20	positive	positive	ADJ
ejpam-4312	218	21	unstable	unstable	ADJ
ejpam-4312	218	22	equilibrium	equilibrium	NOUN
ejpam-4312	218	23	;	;	PUNCT
ejpam-4312	218	24	when	when	SCONJ
ejpam-4312	218	25	0	0	PUNCT
ejpam-4312	218	26	<	<	X
ejpam-4312	218	27	φ	φ	PROPN
ejpam-4312	218	28	�	�	PROPN
ejpam-4312	218	29	1	1	NUM
ejpam-4312	218	30	,	,	PUNCT
ejpam-4312	218	31	0	0	NUM
ejpam-4312	218	32	is	be	AUX
ejpam-4312	218	33	unstable	unstable	ADJ
ejpam-4312	218	34	and	and	CCONJ
ejpam-4312	218	35	there	there	PRON
ejpam-4312	218	36	exists	exist	VERB
ejpam-4312	218	37	a	a	DET
ejpam-4312	218	38	negative	negative	ADJ
ejpam-4312	218	39	and	and	CCONJ
ejpam-4312	218	40	locally	locally	ADV
ejpam-4312	218	41	asymptotically	asymptotically	ADV
ejpam-4312	218	42	stable	stable	ADJ
ejpam-4312	218	43	equilibrium	equilibrium	NOUN
ejpam-4312	218	44	.	.	PUNCT
ejpam-4312	219	1	2	2	NUM
ejpam-4312	219	2	a	a	DET
ejpam-4312	219	3	<	<	X
ejpam-4312	219	4	0	0	NUM
ejpam-4312	219	5	,	,	PUNCT
ejpam-4312	219	6	b	b	X
ejpam-4312	219	7	<	<	X
ejpam-4312	219	8	0.when	0.when	NUM
ejpam-4312	219	9	φ	φ	X
ejpam-4312	219	10	<	<	X
ejpam-4312	219	11	0	0	PROPN
ejpam-4312	219	12	with	with	ADP
ejpam-4312	219	13	|φ|	|φ|	PROPN
ejpam-4312	219	14	�	�	PROPN
ejpam-4312	219	15	1	1	NUM
ejpam-4312	219	16	,	,	PUNCT
ejpam-4312	219	17	0	0	NUM
ejpam-4312	219	18	is	be	AUX
ejpam-4312	219	19	unstable	unstable	ADJ
ejpam-4312	219	20	;	;	PUNCT
ejpam-4312	219	21	when	when	SCONJ
ejpam-4312	219	22	0	0	X
ejpam-4312	219	23	<	<	X
ejpam-4312	219	24	φ	φ	PROPN
ejpam-4312	219	25	�	�	PROPN
ejpam-4312	219	26	1	1	NUM
ejpam-4312	219	27	,	,	PUNCT
ejpam-4312	219	28	0	0	NUM
ejpam-4312	219	29	is	be	AUX
ejpam-4312	219	30	locally	locally	ADV
ejpam-4312	219	31	asymptotically	asymptotically	ADV
ejpam-4312	219	32	stable	stable	ADJ
ejpam-4312	219	33	,	,	PUNCT
ejpam-4312	219	34	and	and	CCONJ
ejpam-4312	219	35	there	there	PRON
ejpam-4312	219	36	exists	exist	VERB
ejpam-4312	219	37	a	a	DET
ejpam-4312	219	38	negative	negative	ADJ
ejpam-4312	219	39	unstable	unstable	ADJ
ejpam-4312	219	40	equilibrium	equilibrium	NOUN
ejpam-4312	219	41	.	.	PUNCT
ejpam-4312	220	1	3	3	NUM
ejpam-4312	220	2	a	a	DET
ejpam-4312	220	3	>	>	X
ejpam-4312	220	4	0	0	NUM
ejpam-4312	220	5	,	,	PUNCT
ejpam-4312	220	6	b	b	X
ejpam-4312	220	7	<	<	X
ejpam-4312	220	8	0	0	NUM
ejpam-4312	220	9	.	.	PUNCT
ejpam-4312	221	1	when	when	SCONJ
ejpam-4312	221	2	φ	φ	X
ejpam-4312	221	3	<	<	X
ejpam-4312	221	4	0	0	PROPN
ejpam-4312	221	5	with	with	ADP
ejpam-4312	221	6	|φ|	|φ|	PROPN
ejpam-4312	221	7	�	�	PROPN
ejpam-4312	221	8	1	1	NUM
ejpam-4312	221	9	,	,	PUNCT
ejpam-4312	221	10	0	0	NUM
ejpam-4312	221	11	is	be	AUX
ejpam-4312	221	12	unstable	unstable	ADJ
ejpam-4312	221	13	,	,	PUNCT
ejpam-4312	221	14	and	and	CCONJ
ejpam-4312	221	15	there	there	PRON
ejpam-4312	221	16	exists	exist	VERB
ejpam-4312	221	17	a	a	DET
ejpam-4312	221	18	locally	locally	ADV
ejpam-4312	221	19	asymptotically	asymptotically	ADV
ejpam-4312	221	20	stable	stable	ADJ
ejpam-4312	221	21	negative	negative	ADJ
ejpam-4312	221	22	equilibrium	equilibrium	NOUN
ejpam-4312	221	23	;	;	PUNCT
ejpam-4312	221	24	when	when	SCONJ
ejpam-4312	221	25	0	0	PUNCT
ejpam-4312	221	26	<	<	X
ejpam-4312	221	27	φ	φ	PROPN
ejpam-4312	221	28	�	�	PROPN
ejpam-4312	221	29	1	1	NUM
ejpam-4312	221	30	,	,	PUNCT
ejpam-4312	221	31	0	0	NUM
ejpam-4312	221	32	is	be	AUX
ejpam-4312	221	33	stable	stable	ADJ
ejpam-4312	221	34	,	,	PUNCT
ejpam-4312	221	35	and	and	CCONJ
ejpam-4312	221	36	a	a	DET
ejpam-4312	221	37	positive	positive	ADJ
ejpam-4312	221	38	unstable	unstable	ADJ
ejpam-4312	221	39	equilibrium	equilibrium	NOUN
ejpam-4312	221	40	appears	appear	VERB
ejpam-4312	221	41	.	.	PUNCT
ejpam-4312	222	1	4	4	NUM
ejpam-4312	222	2	a	a	DET
ejpam-4312	222	3	<	<	X
ejpam-4312	222	4	0	0	NUM
ejpam-4312	222	5	,	,	PUNCT
ejpam-4312	222	6	b	b	X
ejpam-4312	222	7	>	>	X
ejpam-4312	222	8	0.when	0.when	NUM
ejpam-4312	222	9	φ	φ	PROPN
ejpam-4312	222	10	changes	change	VERB
ejpam-4312	222	11	from	from	ADP
ejpam-4312	222	12	negative	negative	ADJ
ejpam-4312	222	13	to	to	ADP
ejpam-4312	222	14	positive	positive	ADJ
ejpam-4312	222	15	,	,	PUNCT
ejpam-4312	222	16	0	0	NUM
ejpam-4312	222	17	changes	change	VERB
ejpam-4312	222	18	its	its	PRON
ejpam-4312	222	19	stability	stability	NOUN
ejpam-4312	222	20	from	from	ADP
ejpam-4312	222	21	stable	stable	ADJ
ejpam-4312	222	22	to	to	ADP
ejpam-4312	222	23	unstable	unstable	ADJ
ejpam-4312	222	24	.	.	PUNCT
ejpam-4312	223	1	correspondingly	correspondingly	ADV
ejpam-4312	223	2	,	,	PUNCT
ejpam-4312	223	3	a	a	DET
ejpam-4312	223	4	negative	negative	ADJ
ejpam-4312	223	5	unstable	unstable	ADJ
ejpam-4312	223	6	equilibrium	equilibrium	NOUN
ejpam-4312	223	7	becomes	become	VERB
ejpam-4312	223	8	positive	positive	ADJ
ejpam-4312	223	9	and	and	CCONJ
ejpam-4312	223	10	locally	locally	ADV
ejpam-4312	223	11	asymptotically	asymptotically	ADV
ejpam-4312	223	12	stable	stable	ADJ
ejpam-4312	223	13	.	.	PUNCT
ejpam-4312	224	1	particularly	particularly	ADV
ejpam-4312	224	2	,	,	PUNCT
ejpam-4312	224	3	if	if	SCONJ
ejpam-4312	224	4	a	a	DET
ejpam-4312	224	5	>	>	X
ejpam-4312	224	6	0	0	NUM
ejpam-4312	224	7	and	and	CCONJ
ejpam-4312	224	8	b	b	X
ejpam-4312	224	9	>	>	X
ejpam-4312	224	10	0	0	NUM
ejpam-4312	224	11	,	,	PUNCT
ejpam-4312	224	12	then	then	ADV
ejpam-4312	224	13	a	a	DET
ejpam-4312	224	14	backward	backward	ADJ
ejpam-4312	224	15	bifurcation	bifurcation	NOUN
ejpam-4312	224	16	occurs	occur	VERB
ejpam-4312	224	17	at	at	ADP
ejpam-4312	224	18	φ	φ	PROPN
ejpam-4312	224	19	=	=	SYM
ejpam-4312	224	20	0	0	NUM
ejpam-4312	224	21	.	.	PUNCT
ejpam-4312	225	1	proof	proof	NOUN
ejpam-4312	225	2	.	.	PUNCT
ejpam-4312	226	1	we	we	PRON
ejpam-4312	226	2	set	set	VERB
ejpam-4312	226	3	sn	sn	PROPN
ejpam-4312	226	4	=	=	SYM
ejpam-4312	226	5	x1	x1	PROPN
ejpam-4312	226	6	,	,	PUNCT
ejpam-4312	226	7	in	in	ADP
ejpam-4312	226	8	=	=	SYM
ejpam-4312	226	9	x2	x2	PROPN
ejpam-4312	226	10	,	,	PUNCT
ejpam-4312	226	11	rn	rn	PROPN
ejpam-4312	226	12	=	=	SYM
ejpam-4312	226	13	x3,h	x3,h	PROPN
ejpam-4312	227	1	=	=	SYM
ejpam-4312	227	2	x4	x4	PROPN
ejpam-4312	227	3	,	,	PUNCT
ejpam-4312	227	4	sp	sp	ADP
ejpam-4312	227	5	=	=	SYM
ejpam-4312	227	6	x5	x5	PROPN
ejpam-4312	227	7	,	,	PUNCT
ejpam-4312	227	8	ip	ip	ADJ
ejpam-4312	227	9	=	=	SYM
ejpam-4312	227	10	x6	x6	PROPN
ejpam-4312	227	11	,	,	PUNCT
ejpam-4312	227	12	rp	rp	NOUN
ejpam-4312	227	13	=	=	NOUN
ejpam-4312	227	14	x7	x7	NOUN
ejpam-4312	227	15	.	.	PUNCT
ejpam-4312	228	1	(	(	PUNCT
ejpam-4312	228	2	32	32	NUM
ejpam-4312	228	3	)	)	PUNCT
ejpam-4312	228	4	j.	j.	PROPN
ejpam-4312	228	5	tsetimi	tsetimi	PROPN
ejpam-4312	228	6	,	,	PUNCT
ejpam-4312	228	7	m.	m.	NOUN
ejpam-4312	228	8	i.	i.	PROPN
ejpam-4312	228	9	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	228	10	,	,	PUNCT
ejpam-4312	228	11	a.	a.	PROPN
ejpam-4312	228	12	atonuje	atonuje	PROPN
ejpam-4312	228	13	/	/	SYM
ejpam-4312	228	14	eur	eur	PROPN
ejpam-4312	228	15	.	.	PUNCT
ejpam-4312	229	1	j.	j.	PROPN
ejpam-4312	229	2	pure	pure	PROPN
ejpam-4312	229	3	appl	appl	PROPN
ejpam-4312	229	4	.	.	PROPN
ejpam-4312	229	5	math	math	PROPN
ejpam-4312	229	6	,	,	PUNCT
ejpam-4312	229	7	15	15	NUM
ejpam-4312	229	8	(	(	PUNCT
ejpam-4312	229	9	2	2	NUM
ejpam-4312	229	10	)	)	PUNCT
ejpam-4312	229	11	(	(	PUNCT
ejpam-4312	229	12	2022	2022	NUM
ejpam-4312	229	13	)	)	PUNCT
ejpam-4312	229	14	,	,	PUNCT
ejpam-4312	229	15	537	537	NUM
ejpam-4312	229	16	-	-	SYM
ejpam-4312	229	17	556	556	NUM
ejpam-4312	229	18	550	550	NUM
ejpam-4312	229	19	thus	thus	ADV
ejpam-4312	229	20	,	,	PUNCT
ejpam-4312	229	21	the	the	DET
ejpam-4312	229	22	model	model	NOUN
ejpam-4312	229	23	(	(	PUNCT
ejpam-4312	229	24	9	9	X
ejpam-4312	229	25	)	)	PUNCT
ejpam-4312	229	26	becomes	becomes	NOUN
ejpam-4312	229	27	·	·	PUNCT
ejpam-4312	230	1	x1	x1	PROPN
ejpam-4312	230	2	=	=	PUNCT
ejpam-4312	231	1	λ−	λ−	PROPN
ejpam-4312	231	2	x1(δ	x1(δ	PROPN
ejpam-4312	232	1	+	+	CCONJ
ejpam-4312	232	2	µ+	µ+	DET
ejpam-4312	232	3	χ	χ	X
ejpam-4312	232	4	)	)	PUNCT
ejpam-4312	232	5	+	+	CCONJ
ejpam-4312	232	6	θx5	θx5	ADJ
ejpam-4312	232	7	+	+	CCONJ
ejpam-4312	232	8	x3ψ	x3ψ	X
ejpam-4312	232	9	·	·	PUNCT
ejpam-4312	232	10	x2	x2	PROPN
ejpam-4312	233	1	=	=	PUNCT
ejpam-4312	233	2	−x2(δ	−x2(δ	PROPN
ejpam-4312	233	3	+	+	CCONJ
ejpam-4312	233	4	ε+	ε+	X
ejpam-4312	233	5	η	η	PROPN
ejpam-4312	233	6	+	+	PROPN
ejpam-4312	233	7	µ+	µ+	PROPN
ejpam-4312	233	8	ς	ς	PROPN
ejpam-4312	233	9	)	)	PUNCT
ejpam-4312	233	10	+	+	CCONJ
ejpam-4312	233	11	θx6	θx6	ADJ
ejpam-4312	233	12	+	+	CCONJ
ejpam-4312	233	13	χx1	χx1	NOUN
ejpam-4312	233	14	·	·	PUNCT
ejpam-4312	233	15	x3	x3	ADJ
ejpam-4312	233	16	=	=	SYM
ejpam-4312	233	17	pϕx4	pϕx4	PROPN
ejpam-4312	233	18	−	−	PROPN
ejpam-4312	233	19	x3(δ	x3(δ	PUNCT
ejpam-4312	233	20	+	+	CCONJ
ejpam-4312	233	21	µ+ψ	µ+ψ	NOUN
ejpam-4312	233	22	)	)	PUNCT
ejpam-4312	234	1	+	+	CCONJ
ejpam-4312	234	2	ηx2	ηx2	NOUN
ejpam-4312	234	3	+	+	CCONJ
ejpam-4312	234	4	θx7	θx7	ADV
ejpam-4312	234	5	·	·	PUNCT
ejpam-4312	234	6	x4	x4	NOUN
ejpam-4312	234	7	=	=	NOUN
ejpam-4312	234	8	αx6	αx6	X
ejpam-4312	234	9	+	+	SYM
ejpam-4312	234	10	εx2	εx2	NOUN
ejpam-4312	234	11	−	−	PROPN
ejpam-4312	234	12	x4(µ+	x4(µ+	PROPN
ejpam-4312	234	13	ς	ς	PROPN
ejpam-4312	234	14	+	+	PROPN
ejpam-4312	234	15	ϕ	ϕ	NOUN
ejpam-4312	234	16	)	)	PUNCT
ejpam-4312	234	17	·	·	PUNCT
ejpam-4312	234	18	x5	x5	NOUN
ejpam-4312	235	1	=	=	PUNCT
ejpam-4312	235	2	π−	π−	NOUN
ejpam-4312	235	3	x5(βχ+	x5(βχ+	PUNCT
ejpam-4312	236	1	θ	θ	PROPN
ejpam-4312	236	2	+	+	PUNCT
ejpam-4312	236	3	µ	µ	X
ejpam-4312	236	4	)	)	PUNCT
ejpam-4312	236	5	+	+	NUM
ejpam-4312	236	6	δx1	δx1	NOUN
ejpam-4312	236	7	+	+	CCONJ
ejpam-4312	236	8	σx7	σx7	NOUN
ejpam-4312	236	9	·	·	PUNCT
ejpam-4312	236	10	x6	x6	NOUN
ejpam-4312	236	11	=	=	SYM
ejpam-4312	236	12	−x6(α+	−x6(α+	X
ejpam-4312	236	13	γ	γ	X
ejpam-4312	236	14	+	+	NOUN
ejpam-4312	236	15	θ	θ	PROPN
ejpam-4312	236	16	+	+	CCONJ
ejpam-4312	236	17	µ+	µ+	PROPN
ejpam-4312	236	18	ς	ς	PROPN
ejpam-4312	236	19	)	)	PUNCT
ejpam-4312	236	20	+	+	NUM
ejpam-4312	236	21	βχx5	βχx5	NOUN
ejpam-4312	236	22	+	+	CCONJ
ejpam-4312	236	23	δx2	δx2	ADJ
ejpam-4312	236	24	·	·	PUNCT
ejpam-4312	236	25	x7	x7	NOUN
ejpam-4312	236	26	=	=	SYM
ejpam-4312	236	27	(	(	PUNCT
ejpam-4312	236	28	1−	1−	NUM
ejpam-4312	236	29	p)ϕx4	p)ϕx4	VERB
ejpam-4312	236	30	+	+	CCONJ
ejpam-4312	236	31	γx6	γx6	VERB
ejpam-4312	236	32	+	+	X
ejpam-4312	236	33	δx3	δx3	PROPN
ejpam-4312	236	34	−	−	PROPN
ejpam-4312	236	35	x7(θ	x7(θ	NUM
ejpam-4312	236	36	+	+	CCONJ
ejpam-4312	236	37	µ+	µ+	PROPN
ejpam-4312	236	38	σ	σ	PROPN
ejpam-4312	236	39	)	)	PUNCT
ejpam-4312	236	40	(	(	PUNCT
ejpam-4312	236	41	33	33	NUM
ejpam-4312	236	42	)	)	PUNCT
ejpam-4312	236	43	now	now	ADV
ejpam-4312	236	44	,	,	PUNCT
ejpam-4312	236	45	the	the	DET
ejpam-4312	236	46	jacobian	jacobian	NOUN
ejpam-4312	236	47	of	of	ADP
ejpam-4312	236	48	the	the	DET
ejpam-4312	236	49	system	system	NOUN
ejpam-4312	236	50	(	(	PUNCT
ejpam-4312	236	51	33	33	NUM
ejpam-4312	236	52	)	)	PUNCT
ejpam-4312	236	53	evaluated	evaluate	VERB
ejpam-4312	236	54	at	at	ADP
ejpam-4312	236	55	the	the	DET
ejpam-4312	236	56	disease	disease	NOUN
ejpam-4312	236	57	-	-	PUNCT
ejpam-4312	236	58	free	free	ADJ
ejpam-4312	236	59	equilibrium	equilibrium	NOUN
ejpam-4312	236	60	(	(	PUNCT
ejpam-4312	236	61	e0	e0	PROPN
ejpam-4312	236	62	)	)	PUNCT
ejpam-4312	236	63	,	,	PUNCT
ejpam-4312	236	64	is	be	AUX
ejpam-4312	236	65	given	give	VERB
ejpam-4312	236	66	by	by	ADP
ejpam-4312	236	67	:	:	PUNCT
ejpam-4312	236	68	je0	je0	NOUN
ejpam-4312	236	69	=	=	SYM
ejpam-4312	236	70			ADJ
ejpam-4312	236	71	−δ	−δ	ADJ
ejpam-4312	236	72	−	−	PROPN
ejpam-4312	236	73	µ	µ	X
ejpam-4312	236	74	(	(	PUNCT
ejpam-4312	236	75	k($−1))(θ(λ+π)+λµ	k($−1))(θ(λ+π)+λµ	NOUN
ejpam-4312	236	76	)	)	PUNCT
ejpam-4312	236	77	(	(	PUNCT
ejpam-4312	236	78	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	236	79	)	)	PUNCT
ejpam-4312	236	80	ψ	ψ	PROPN
ejpam-4312	236	81	(	(	PUNCT
ejpam-4312	236	82	kι($−1))(θ(λ+π)+λµ	kι($−1))(θ(λ+π)+λµ	PROPN
ejpam-4312	236	83	)	)	PUNCT
ejpam-4312	236	84	(	(	PUNCT
ejpam-4312	236	85	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	236	86	)	)	PUNCT
ejpam-4312	236	87	θ	θ	NOUN
ejpam-4312	236	88	%	%	INTJ
ejpam-4312	236	89	(	(	PUNCT
ejpam-4312	236	90	k($−1))(θ(λ+π)+λµ	k($−1))(θ(λ+π)+λµ	NOUN
ejpam-4312	236	91	)	)	PUNCT
ejpam-4312	236	92	(	(	PUNCT
ejpam-4312	236	93	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	236	94	)	)	PUNCT
ejpam-4312	236	95	0	0	NUM
ejpam-4312	236	96	0	0	NUM
ejpam-4312	236	97	−δ	−δ	ADJ
ejpam-4312	236	98	−	−	PROPN
ejpam-4312	236	99	ε−	ε−	PROPN
ejpam-4312	236	100	η	η	NOUN
ejpam-4312	236	101	−	−	PROPN
ejpam-4312	236	102	(	(	PUNCT
ejpam-4312	236	103	k($−1))(θ(λ+π)+λµ	k($−1))(θ(λ+π)+λµ	NOUN
ejpam-4312	236	104	)	)	PUNCT
ejpam-4312	236	105	(	(	PUNCT
ejpam-4312	236	106	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	236	107	)	)	PUNCT
ejpam-4312	236	108	−	−	PROPN
ejpam-4312	236	109	µ−	µ−	PROPN
ejpam-4312	236	110	ς	ς	PROPN
ejpam-4312	236	111	0	0	NUM
ejpam-4312	236	112	−	−	PROPN
ejpam-4312	236	113	(	(	PUNCT
ejpam-4312	236	114	kι($−1))(θ(λ+π)+λµ	kι($−1))(θ(λ+π)+λµ	PROPN
ejpam-4312	236	115	)	)	PUNCT
ejpam-4312	236	116	(	(	PUNCT
ejpam-4312	236	117	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	236	118	)	)	PUNCT
ejpam-4312	236	119	0	0	NUM
ejpam-4312	237	1	θ	θ	NOUN
ejpam-4312	237	2	−	−	NUM
ejpam-4312	238	1	%	%	INTJ
ejpam-4312	238	2	(	(	PUNCT
ejpam-4312	238	3	k($−1))(θ(λ+π)+λµ	k($−1))(θ(λ+π)+λµ	NOUN
ejpam-4312	238	4	)	)	PUNCT
ejpam-4312	238	5	(	(	PUNCT
ejpam-4312	238	6	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	238	7	)	)	PUNCT
ejpam-4312	238	8	0	0	NUM
ejpam-4312	238	9	0	0	NUM
ejpam-4312	238	10	η	η	PROPN
ejpam-4312	238	11	−δ	−δ	ADP
ejpam-4312	238	12	−	−	PROPN
ejpam-4312	238	13	µ−ψ	µ−ψ	NOUN
ejpam-4312	238	14	pϕ	pϕ	NOUN
ejpam-4312	238	15	0	0	NUM
ejpam-4312	238	16	0	0	NUM
ejpam-4312	239	1	θ	θ	NOUN
ejpam-4312	239	2	0	0	PUNCT
ejpam-4312	239	3	ε	ε	PROPN
ejpam-4312	239	4	0	0	NUM
ejpam-4312	239	5	−µ−	−µ−	NOUN
ejpam-4312	239	6	ς	ς	PROPN
ejpam-4312	240	1	−	−	PROPN
ejpam-4312	240	2	ϕ	ϕ	NOUN
ejpam-4312	240	3	0	0	PUNCT
ejpam-4312	240	4	α	α	NOUN
ejpam-4312	240	5	0	0	NUM
ejpam-4312	240	6	δ	δ	PROPN
ejpam-4312	240	7	(	(	PUNCT
ejpam-4312	240	8	kβ($−1))(δ(λ+π)+µπ	kβ($−1))(δ(λ+π)+µπ	PROPN
ejpam-4312	240	9	)	)	PUNCT
ejpam-4312	240	10	(	(	PUNCT
ejpam-4312	240	11	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	240	12	)	)	PUNCT
ejpam-4312	240	13	0	0	NUM
ejpam-4312	241	1	(	(	PUNCT
ejpam-4312	241	2	kβι($−1))(δ(λ+π)+µπ	kβι($−1))(δ(λ+π)+µπ	PROPN
ejpam-4312	241	3	)	)	PUNCT
ejpam-4312	241	4	(	(	PUNCT
ejpam-4312	241	5	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	241	6	)	)	PUNCT
ejpam-4312	241	7	−θ	−θ	ADJ
ejpam-4312	241	8	−	−	PROPN
ejpam-4312	241	9	µ	µ	PRON
ejpam-4312	241	10	%	%	NOUN
ejpam-4312	241	11	(	(	PUNCT
ejpam-4312	241	12	kβ($−1))(δ(λ+π)+µπ	kβ($−1))(δ(λ+π)+µπ	NOUN
ejpam-4312	241	13	)	)	PUNCT
ejpam-4312	241	14	(	(	PUNCT
ejpam-4312	241	15	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	241	16	)	)	PUNCT
ejpam-4312	241	17	σ	σ	PROPN
ejpam-4312	241	18	0	0	NUM
ejpam-4312	242	1	δ	δ	PROPN
ejpam-4312	242	2	−	−	PROPN
ejpam-4312	242	3	(	(	PUNCT
ejpam-4312	242	4	kβ($−1))(δ(λ+π)+µπ	kβ($−1))(δ(λ+π)+µπ	PROPN
ejpam-4312	242	5	)	)	PUNCT
ejpam-4312	242	6	(	(	PUNCT
ejpam-4312	242	7	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	242	8	)	)	PUNCT
ejpam-4312	242	9	0	0	NUM
ejpam-4312	243	1	−	−	PROPN
ejpam-4312	243	2	(	(	PUNCT
ejpam-4312	243	3	kβι($−1))(δ(λ+π)+µπ	kβι($−1))(δ(λ+π)+µπ	PROPN
ejpam-4312	243	4	)	)	PUNCT
ejpam-4312	243	5	(	(	PUNCT
ejpam-4312	243	6	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	243	7	)	)	PUNCT
ejpam-4312	243	8	0	0	NUM
ejpam-4312	243	9	−α−	−α−	VERB
ejpam-4312	243	10	γ	γ	NOUN
ejpam-4312	243	11	−	−	PROPN
ejpam-4312	243	12	θ	θ	NOUN
ejpam-4312	243	13	−	−	NUM
ejpam-4312	243	14	%	%	INTJ
ejpam-4312	243	15	(	(	PUNCT
ejpam-4312	243	16	kβ($−1))(δ(λ+π)+µπ	kβ($−1))(δ(λ+π)+µπ	NOUN
ejpam-4312	243	17	)	)	PUNCT
ejpam-4312	243	18	(	(	PUNCT
ejpam-4312	243	19	λ+π)(δ+θ+µ	λ+π)(δ+θ+µ	PROPN
ejpam-4312	243	20	)	)	PUNCT
ejpam-4312	243	21	−	−	PROPN
ejpam-4312	244	1	µ−	µ−	PROPN
ejpam-4312	244	2	ς	ς	PROPN
ejpam-4312	244	3	0	0	NUM
ejpam-4312	244	4	0	0	NUM
ejpam-4312	244	5	0	0	NUM
ejpam-4312	245	1	δ	δ	X
ejpam-4312	245	2	ϕ−	ϕ−	PROPN
ejpam-4312	245	3	pϕ	pϕ	NOUN
ejpam-4312	245	4	0	0	NUM
ejpam-4312	245	5	γ	γ	X
ejpam-4312	245	6	−θ	−θ	ADJ
ejpam-4312	245	7	−	−	PROPN
ejpam-4312	245	8	µ−	µ−	PROPN
ejpam-4312	245	9	σ	σ	NOUN
ejpam-4312	245	10			NOUN
ejpam-4312	245	11	let	let	VERB
ejpam-4312	245	12	$	$	SYM
ejpam-4312	245	13	=	=	SYM
ejpam-4312	245	14	$	$	SYM
ejpam-4312	245	15	∗	∗	NOUN
ejpam-4312	245	16	be	be	VERB
ejpam-4312	245	17	the	the	DET
ejpam-4312	245	18	bifurcation	bifurcation	NOUN
ejpam-4312	245	19	parameter	parameter	NOUN
ejpam-4312	245	20	.	.	PUNCT
ejpam-4312	246	1	we	we	PRON
ejpam-4312	246	2	consider	consider	VERB
ejpam-4312	246	3	the	the	DET
ejpam-4312	246	4	parameter	parameter	NOUN
ejpam-4312	246	5	values	value	NOUN
ejpam-4312	246	6	in	in	ADP
ejpam-4312	246	7	table	table	NOUN
ejpam-4312	246	8	2	2	NUM
ejpam-4312	246	9	and	and	CCONJ
ejpam-4312	246	10	see	see	VERB
ejpam-4312	246	11	that	that	SCONJ
ejpam-4312	246	12	$	$	SYM
ejpam-4312	246	13	=	=	SYM
ejpam-4312	246	14	1−	1−	NUM
ejpam-4312	246	15	0.9386r0	0.9386r0	NUM
ejpam-4312	246	16	.	.	PUNCT
ejpam-4312	247	1	when	when	SCONJ
ejpam-4312	247	2	r0	r0	NOUN
ejpam-4312	247	3	=	=	NOUN
ejpam-4312	247	4	1	1	NUM
ejpam-4312	247	5	,	,	PUNCT
ejpam-4312	247	6	we	we	PRON
ejpam-4312	247	7	obtain	obtain	VERB
ejpam-4312	247	8	$	$	SYM
ejpam-4312	247	9	=	=	SYM
ejpam-4312	247	10	$	$	SYM
ejpam-4312	247	11	∗	∗	NOUN
ejpam-4312	247	12	=	=	NOUN
ejpam-4312	247	13	0.06141	0.06141	NUM
ejpam-4312	247	14	.	.	PUNCT
ejpam-4312	248	1	from	from	ADP
ejpam-4312	248	2	the	the	DET
ejpam-4312	248	3	characteristic	characteristic	ADJ
ejpam-4312	248	4	equation	equation	NOUN
ejpam-4312	248	5	of	of	ADP
ejpam-4312	248	6	je0	je0	NOUN
ejpam-4312	248	7	given	give	VERB
ejpam-4312	248	8	by	by	ADP
ejpam-4312	248	9	|je0	|je0	PROPN
ejpam-4312	248	10	−	−	PROPN
ejpam-4312	249	1	λi|	λi|	NOUN
ejpam-4312	249	2	=	=	SYM
ejpam-4312	249	3	0	0	NUM
ejpam-4312	249	4	,	,	PUNCT
ejpam-4312	249	5	we	we	PRON
ejpam-4312	249	6	obtain	obtain	VERB
ejpam-4312	249	7	the	the	DET
ejpam-4312	249	8	eigenvalues:	eigenvalues:	PROPN
ejpam-4312	249	9	λ1	λ1	PROPN
ejpam-4312	249	10	=	=	SYM
ejpam-4312	249	11	−0.5978	−0.5978	NUM
ejpam-4312	249	12	λ2	λ2	NOUN
ejpam-4312	249	13	=	=	SYM
ejpam-4312	249	14	−0.3065	−0.3065	NOUN
ejpam-4312	250	1	λ3	λ3	PROPN
ejpam-4312	250	2	=	=	PUNCT
ejpam-4312	251	1	−0.2996	−0.2996	NUM
ejpam-4312	251	2	λ4	λ4	NOUN
ejpam-4312	251	3	=	=	SYM
ejpam-4312	251	4	−0.2638	−0.2638	NOUN
ejpam-4312	251	5	λ5	λ5	VERB
ejpam-4312	251	6	=	=	SYM
ejpam-4312	251	7	−0.0213	−0.0213	NOUN
ejpam-4312	251	8	λ6	λ6	NOUN
ejpam-4312	251	9	=	=	PUNCT
ejpam-4312	251	10	−0.0182	−0.0182	NOUN
ejpam-4312	251	11	λ7	λ7	NOUN
ejpam-4312	251	12	=	=	PUNCT
ejpam-4312	251	13	−1.1001×	−1.1001×	PUNCT
ejpam-4312	251	14	1017	1017	NUM
ejpam-4312	251	15	≈	≈	PROPN
ejpam-4312	251	16	0	0	NUM
ejpam-4312	251	17	.	.	PUNCT
ejpam-4312	252	1	(	(	PUNCT
ejpam-4312	252	2	34	34	NUM
ejpam-4312	252	3	)	)	PUNCT
ejpam-4312	252	4	the	the	DET
ejpam-4312	252	5	right	right	ADJ
ejpam-4312	252	6	eigenvector	eigenvector	NOUN
ejpam-4312	252	7	of	of	ADP
ejpam-4312	252	8	j(e0)|$=$∗	j(e0)|$=$∗	PROPN
ejpam-4312	252	9	is	be	AUX
ejpam-4312	252	10	given	give	VERB
ejpam-4312	252	11	by	by	ADP
ejpam-4312	252	12	(	(	PUNCT
ejpam-4312	252	13	g1	g1	PROPN
ejpam-4312	252	14	,	,	PUNCT
ejpam-4312	252	15	g2	g2	PROPN
ejpam-4312	252	16	,	,	PUNCT
ejpam-4312	252	17	g3	g3	NOUN
ejpam-4312	252	18	,	,	PUNCT
ejpam-4312	252	19	g4	g4	NOUN
ejpam-4312	252	20	,	,	PUNCT
ejpam-4312	252	21	g5	g5	NOUN
ejpam-4312	252	22	,	,	PUNCT
ejpam-4312	252	23	g6	g6	PROPN
ejpam-4312	252	24	,	,	PUNCT
ejpam-4312	252	25	g7	g7	PROPN
ejpam-4312	252	26	)	)	PUNCT
ejpam-4312	252	27	t	t	PROPN
ejpam-4312	252	28	where	where	PROPN
ejpam-4312	252	29	g1	g1	PROPN
ejpam-4312	252	30	=	=	PUNCT
ejpam-4312	252	31	−14.6948g2	−14.6948g2	PROPN
ejpam-4312	252	32	,	,	PUNCT
ejpam-4312	252	33	g2	g2	PROPN
ejpam-4312	252	34	=	=	PROPN
ejpam-4312	252	35	g2	g2	PROPN
ejpam-4312	252	36	>	>	X
ejpam-4312	252	37	0	0	PROPN
ejpam-4312	252	38	,	,	PUNCT
ejpam-4312	252	39	g3	g3	NOUN
ejpam-4312	252	40	=	=	SYM
ejpam-4312	252	41	10.9219g2	10.9219g2	NUM
ejpam-4312	252	42	,	,	PUNCT
ejpam-4312	252	43	g4	g4	NOUN
ejpam-4312	252	44	=	=	SYM
ejpam-4312	252	45	9.41465g2	9.41465g2	NUM
ejpam-4312	252	46	,	,	PUNCT
ejpam-4312	252	47	g5	g5	NOUN
ejpam-4312	252	48	=	=	SYM
ejpam-4312	252	49	−98.2523g2	−98.2523g2	PROPN
ejpam-4312	252	50	,	,	PUNCT
ejpam-4312	252	51	g6	g6	PROPN
ejpam-4312	252	52	=	=	SYM
ejpam-4312	252	53	5.82431g2	5.82431g2	NUM
ejpam-4312	252	54	,	,	PUNCT
ejpam-4312	253	1	g7	g7	PROPN
ejpam-4312	253	2	=	=	PUNCT
ejpam-4312	253	3	66.1568g2	66.1568g2	PROPN
ejpam-4312	253	4	.	.	PUNCT
ejpam-4312	254	1	(	(	PUNCT
ejpam-4312	254	2	35	35	NUM
ejpam-4312	254	3	)	)	PUNCT
ejpam-4312	254	4	j.	j.	PROPN
ejpam-4312	254	5	tsetimi	tsetimi	PROPN
ejpam-4312	254	6	,	,	PUNCT
ejpam-4312	254	7	m.	m.	NOUN
ejpam-4312	254	8	i.	i.	PROPN
ejpam-4312	254	9	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	254	10	,	,	PUNCT
ejpam-4312	254	11	a.	a.	PROPN
ejpam-4312	254	12	atonuje	atonuje	PROPN
ejpam-4312	254	13	/	/	SYM
ejpam-4312	254	14	eur	eur	PROPN
ejpam-4312	254	15	.	.	PUNCT
ejpam-4312	255	1	j.	j.	PROPN
ejpam-4312	255	2	pure	pure	PROPN
ejpam-4312	255	3	appl	appl	PROPN
ejpam-4312	255	4	.	.	PROPN
ejpam-4312	255	5	math	math	PROPN
ejpam-4312	255	6	,	,	PUNCT
ejpam-4312	255	7	15	15	NUM
ejpam-4312	255	8	(	(	PUNCT
ejpam-4312	255	9	2	2	NUM
ejpam-4312	255	10	)	)	PUNCT
ejpam-4312	255	11	(	(	PUNCT
ejpam-4312	255	12	2022	2022	NUM
ejpam-4312	255	13	)	)	PUNCT
ejpam-4312	255	14	,	,	PUNCT
ejpam-4312	255	15	537	537	NUM
ejpam-4312	255	16	-	-	SYM
ejpam-4312	255	17	556	556	NUM
ejpam-4312	255	18	551	551	NUM
ejpam-4312	255	19	the	the	DET
ejpam-4312	255	20	left	left	ADJ
ejpam-4312	255	21	eigenvector	eigenvector	NOUN
ejpam-4312	255	22	,	,	PUNCT
ejpam-4312	255	23	(	(	PUNCT
ejpam-4312	255	24	h1	h1	PROPN
ejpam-4312	255	25	,	,	PUNCT
ejpam-4312	255	26	h2	h2	PROPN
ejpam-4312	255	27	,	,	PUNCT
ejpam-4312	255	28	h3	h3	NOUN
ejpam-4312	255	29	,	,	PUNCT
ejpam-4312	255	30	h4	h4	NOUN
ejpam-4312	255	31	,	,	PUNCT
ejpam-4312	255	32	h5	h5	PROPN
ejpam-4312	255	33	,	,	PUNCT
ejpam-4312	255	34	h6	h6	PROPN
ejpam-4312	255	35	)	)	PUNCT
ejpam-4312	255	36	,	,	PUNCT
ejpam-4312	255	37	is	be	AUX
ejpam-4312	255	38	also	also	ADV
ejpam-4312	255	39	obtained	obtain	VERB
ejpam-4312	255	40	with	with	PROPN
ejpam-4312	255	41	h1	h1	PROPN
ejpam-4312	255	42	=	=	PUNCT
ejpam-4312	255	43	h2	h2	NOUN
ejpam-4312	255	44	=	=	SYM
ejpam-4312	255	45	h5	h5	PROPN
ejpam-4312	255	46	=	=	SYM
ejpam-4312	255	47	0	0	NUM
ejpam-4312	255	48	,	,	PUNCT
ejpam-4312	255	49	h3	h3	NOUN
ejpam-4312	255	50	=	=	SYM
ejpam-4312	255	51	h3	h3	NOUN
ejpam-4312	255	52	>	>	X
ejpam-4312	255	53	0	0	PROPN
ejpam-4312	255	54	,	,	PUNCT
ejpam-4312	255	55	h4	h4	PROPN
ejpam-4312	255	56	=	=	SYM
ejpam-4312	255	57	0.403387521843334h3	0.403387521843334h3	PROPN
ejpam-4312	255	58	,	,	PUNCT
ejpam-4312	255	59	h6	h6	PROPN
ejpam-4312	255	60	=	=	PUNCT
ejpam-4312	255	61	−0.1809562986293365h3	−0.1809562986293365h3	PROPN
ejpam-4312	255	62	,	,	PUNCT
ejpam-4312	255	63	h7	h7	X
ejpam-4312	255	64	=	=	PUNCT
ejpam-4312	255	65	0.6382904186372395h3	0.6382904186372395h3	PROPN
ejpam-4312	255	66	.	.	PUNCT
ejpam-4312	256	1	(	(	PUNCT
ejpam-4312	256	2	36	36	NUM
ejpam-4312	256	3	)	)	PUNCT
ejpam-4312	256	4	from	from	ADP
ejpam-4312	256	5	the	the	DET
ejpam-4312	256	6	equations	equation	NOUN
ejpam-4312	256	7	,	,	PUNCT
ejpam-4312	256	8	a	a	DET
ejpam-4312	256	9	=	=	SYM
ejpam-4312	256	10	n∑	n∑	PROPN
ejpam-4312	256	11	i	i	PROPN
ejpam-4312	256	12	,	,	PUNCT
ejpam-4312	256	13	j	j	PROPN
ejpam-4312	256	14	,	,	PUNCT
ejpam-4312	256	15	k=1	k=1	PROPN
ejpam-4312	256	16	vkwiwj	vkwiwj	NOUN
ejpam-4312	256	17	∂2fk	∂2fk	NOUN
ejpam-4312	256	18	∂xi∂xj	∂xi∂xj	NOUN
ejpam-4312	256	19	(	(	PUNCT
ejpam-4312	256	20	s0	s0	PROPN
ejpam-4312	256	21	,	,	PUNCT
ejpam-4312	256	22	0	0	NUM
ejpam-4312	256	23	,	,	PUNCT
ejpam-4312	256	24	0	0	NUM
ejpam-4312	256	25	,	,	PUNCT
ejpam-4312	256	26	0	0	NUM
ejpam-4312	256	27	)	)	PUNCT
ejpam-4312	256	28	,	,	PUNCT
ejpam-4312	256	29	(	(	PUNCT
ejpam-4312	256	30	37	37	NUM
ejpam-4312	256	31	)	)	PUNCT
ejpam-4312	256	32	b	b	NOUN
ejpam-4312	256	33	=	=	SYM
ejpam-4312	256	34	n∑	n∑	NOUN
ejpam-4312	256	35	i	i	PROPN
ejpam-4312	256	36	,	,	PUNCT
ejpam-4312	256	37	k=1	k=1	PROPN
ejpam-4312	256	38	vkwi	vkwi	PROPN
ejpam-4312	256	39	∂2fk	∂2fk	NOUN
ejpam-4312	256	40	∂xi∂φ	∂xi∂φ	PROPN
ejpam-4312	256	41	(	(	PUNCT
ejpam-4312	256	42	s0	s0	PROPN
ejpam-4312	256	43	,	,	PUNCT
ejpam-4312	256	44	0	0	NUM
ejpam-4312	256	45	,	,	PUNCT
ejpam-4312	256	46	0	0	NUM
ejpam-4312	256	47	,	,	PUNCT
ejpam-4312	256	48	0	0	NUM
ejpam-4312	256	49	)	)	PUNCT
ejpam-4312	256	50	.	.	PUNCT
ejpam-4312	257	1	(	(	PUNCT
ejpam-4312	257	2	38	38	NUM
ejpam-4312	257	3	)	)	PUNCT
ejpam-4312	257	4	we	we	PRON
ejpam-4312	257	5	now	now	ADV
ejpam-4312	257	6	compute	compute	VERB
ejpam-4312	257	7	a	a	PRON
ejpam-4312	257	8	and	and	CCONJ
ejpam-4312	257	9	b.	b.	NOUN
ejpam-4312	257	10	considering	consider	VERB
ejpam-4312	257	11	only	only	ADV
ejpam-4312	257	12	the	the	DET
ejpam-4312	257	13	non	non	ADJ
ejpam-4312	257	14	-	-	ADJ
ejpam-4312	257	15	zero	zero	NUM
ejpam-4312	257	16	components	component	NOUN
ejpam-4312	257	17	(	(	PUNCT
ejpam-4312	257	18	h1	h1	PROPN
ejpam-4312	257	19	,	,	PUNCT
ejpam-4312	257	20	h2	h2	PROPN
ejpam-4312	257	21	,	,	PUNCT
ejpam-4312	257	22	h3	h3	NOUN
ejpam-4312	257	23	,	,	PUNCT
ejpam-4312	257	24	h4	h4	NOUN
ejpam-4312	257	25	,	,	PUNCT
ejpam-4312	257	26	h5	h5	PROPN
ejpam-4312	257	27	,	,	PUNCT
ejpam-4312	257	28	h6	h6	PROPN
ejpam-4312	257	29	)	)	PUNCT
ejpam-4312	257	30	of	of	ADP
ejpam-4312	257	31	the	the	DET
ejpam-4312	257	32	left	left	ADJ
ejpam-4312	257	33	eigenvectors	eigenvector	NOUN
ejpam-4312	257	34	,	,	PUNCT
ejpam-4312	257	35	we	we	PRON
ejpam-4312	257	36	obtained	obtain	VERB
ejpam-4312	257	37	:	:	PUNCT
ejpam-4312	257	38	a	a	DET
ejpam-4312	257	39	=	=	SYM
ejpam-4312	257	40	18.823262325556414g22h3	18.823262325556414g22h3	NUM
ejpam-4312	257	41	>	>	SYM
ejpam-4312	257	42	0	0	NUM
ejpam-4312	257	43	,	,	PUNCT
ejpam-4312	257	44	b	b	X
ejpam-4312	257	45	=	=	SYM
ejpam-4312	257	46	−16.73833317110245g2h3	−16.73833317110245g2h3	NOUN
ejpam-4312	257	47	<	<	X
ejpam-4312	257	48	0	0	X
ejpam-4312	257	49	.	.	PUNCT
ejpam-4312	258	1	since	since	SCONJ
ejpam-4312	258	2	a	a	DET
ejpam-4312	258	3	>	>	X
ejpam-4312	258	4	0	0	NUM
ejpam-4312	258	5	and	and	CCONJ
ejpam-4312	258	6	b	b	NOUN
ejpam-4312	258	7	<	<	X
ejpam-4312	258	8	0	0	NUM
ejpam-4312	258	9	,	,	PUNCT
ejpam-4312	258	10	when	when	SCONJ
ejpam-4312	258	11	r0	r0	NOUN
ejpam-4312	258	12	<	<	X
ejpam-4312	258	13	1	1	NUM
ejpam-4312	258	14	,	,	PUNCT
ejpam-4312	258	15	e0	e0	PROPN
ejpam-4312	258	16	is	be	AUX
ejpam-4312	258	17	stable	stable	ADJ
ejpam-4312	258	18	,	,	PUNCT
ejpam-4312	258	19	and	and	CCONJ
ejpam-4312	258	20	there	there	PRON
ejpam-4312	258	21	exists	exist	VERB
ejpam-4312	258	22	a	a	DET
ejpam-4312	258	23	locally	locally	ADV
ejpam-4312	258	24	asymptotically	asymptotically	ADV
ejpam-4312	258	25	stable	stable	ADJ
ejpam-4312	258	26	negative	negative	ADJ
ejpam-4312	258	27	disease	disease	NOUN
ejpam-4312	258	28	endemic	endemic	ADJ
ejpam-4312	258	29	equilibrium	equilibrium	NOUN
ejpam-4312	258	30	;	;	PUNCT
ejpam-4312	258	31	when	when	SCONJ
ejpam-4312	258	32	r0	r0	NOUN
ejpam-4312	258	33	>	>	X
ejpam-4312	258	34	1	1	NUM
ejpam-4312	258	35	,	,	PUNCT
ejpam-4312	258	36	e0	e0	PROPN
ejpam-4312	258	37	is	be	AUX
ejpam-4312	258	38	unstable	unstable	ADJ
ejpam-4312	258	39	,	,	PUNCT
ejpam-4312	258	40	and	and	CCONJ
ejpam-4312	258	41	a	a	DET
ejpam-4312	258	42	positive	positive	ADJ
ejpam-4312	258	43	stable	stable	ADJ
ejpam-4312	258	44	disease	disease	NOUN
ejpam-4312	258	45	endemic	endemic	ADJ
ejpam-4312	258	46	equilibrium	equilibrium	NOUN
ejpam-4312	258	47	appears	appear	VERB
ejpam-4312	258	48	.	.	PUNCT
ejpam-4312	259	1	this	this	PRON
ejpam-4312	259	2	is	be	AUX
ejpam-4312	259	3	shown	show	VERB
ejpam-4312	259	4	in	in	ADP
ejpam-4312	259	5	figure	figure	NOUN
ejpam-4312	259	6	2	2	NUM
ejpam-4312	259	7	.	.	PUNCT
ejpam-4312	259	8	figure	figure	NOUN
ejpam-4312	259	9	2	2	NUM
ejpam-4312	259	10	:	:	PUNCT
ejpam-4312	259	11	bifurcation	bifurcation	NOUN
ejpam-4312	259	12	diagram	diagram	NOUN
ejpam-4312	259	13	from	from	ADP
ejpam-4312	259	14	the	the	DET
ejpam-4312	259	15	bifurcation	bifurcation	NOUN
ejpam-4312	259	16	plot	plot	NOUN
ejpam-4312	259	17	,	,	PUNCT
ejpam-4312	259	18	it	it	PRON
ejpam-4312	259	19	is	be	AUX
ejpam-4312	259	20	seen	see	VERB
ejpam-4312	259	21	that	that	SCONJ
ejpam-4312	259	22	reducing	reduce	VERB
ejpam-4312	259	23	the	the	DET
ejpam-4312	259	24	value	value	NOUN
ejpam-4312	259	25	of	of	ADP
ejpam-4312	259	26	the	the	DET
ejpam-4312	259	27	basic	basic	ADJ
ejpam-4312	259	28	reproduction	reproduction	NOUN
ejpam-4312	259	29	number	number	NOUN
ejpam-4312	259	30	below	below	ADP
ejpam-4312	259	31	unity	unity	NOUN
ejpam-4312	259	32	,	,	PUNCT
ejpam-4312	259	33	i.e.	i.e.	X
ejpam-4312	259	34	r0	r0	NOUN
ejpam-4312	259	35	<	<	X
ejpam-4312	259	36	1	1	NUM
ejpam-4312	259	37	is	be	AUX
ejpam-4312	259	38	enough	enough	ADJ
ejpam-4312	259	39	to	to	PART
ejpam-4312	259	40	minimize	minimize	VERB
ejpam-4312	259	41	the	the	DET
ejpam-4312	259	42	spread	spread	NOUN
ejpam-4312	259	43	of	of	ADP
ejpam-4312	259	44	the	the	DET
ejpam-4312	259	45	disease	disease	NOUN
ejpam-4312	259	46	and	and	CCONJ
ejpam-4312	259	47	also	also	ADV
ejpam-4312	259	48	eradicate	eradicate	VERB
ejpam-4312	259	49	the	the	DET
ejpam-4312	259	50	disease	disease	NOUN
ejpam-4312	259	51	from	from	ADP
ejpam-4312	259	52	the	the	DET
ejpam-4312	259	53	population	population	NOUN
ejpam-4312	259	54	.	.	PUNCT
ejpam-4312	260	1	the	the	DET
ejpam-4312	260	2	parameters	parameter	NOUN
ejpam-4312	260	3	pertaining	pertain	VERB
ejpam-4312	260	4	to	to	ADP
ejpam-4312	260	5	pregnant	pregnant	ADJ
ejpam-4312	260	6	women	woman	NOUN
ejpam-4312	260	7	play	play	VERB
ejpam-4312	260	8	a	a	DET
ejpam-4312	260	9	major	major	ADJ
ejpam-4312	260	10	role	role	NOUN
ejpam-4312	260	11	in	in	ADP
ejpam-4312	260	12	controlling	control	VERB
ejpam-4312	260	13	the	the	DET
ejpam-4312	260	14	value	value	NOUN
ejpam-4312	260	15	of	of	ADP
ejpam-4312	260	16	the	the	DET
ejpam-4312	260	17	basic	basic	ADJ
ejpam-4312	260	18	reproduction	reproduction	NOUN
ejpam-4312	260	19	number	number	NOUN
ejpam-4312	260	20	.	.	PUNCT
ejpam-4312	261	1	from	from	ADP
ejpam-4312	261	2	the	the	DET
ejpam-4312	261	3	sensitivity	sensitivity	NOUN
ejpam-4312	261	4	analysis	analysis	NOUN
ejpam-4312	261	5	,	,	PUNCT
ejpam-4312	261	6	it	it	PRON
ejpam-4312	261	7	can	can	AUX
ejpam-4312	261	8	be	be	AUX
ejpam-4312	261	9	seen	see	VERB
ejpam-4312	261	10	that	that	SCONJ
ejpam-4312	261	11	reducing	reduce	VERB
ejpam-4312	261	12	the	the	DET
ejpam-4312	261	13	values	value	NOUN
ejpam-4312	261	14	of	of	ADP
ejpam-4312	261	15	the	the	DET
ejpam-4312	261	16	effective	effective	ADJ
ejpam-4312	261	17	contact	contact	NOUN
ejpam-4312	261	18	rate	rate	NOUN
ejpam-4312	261	19	κ	κ	PROPN
ejpam-4312	261	20	for	for	ADP
ejpam-4312	261	21	covid-19	covid-19	PROPN
ejpam-4312	261	22	transmission	transmission	NOUN
ejpam-4312	261	23	,	,	PUNCT
ejpam-4312	261	24	the	the	DET
ejpam-4312	261	25	modification	modification	NOUN
ejpam-4312	261	26	parameter	parameter	NOUN
ejpam-4312	261	27	β	β	X
ejpam-4312	261	28	accounting	account	VERB
ejpam-4312	261	29	for	for	ADP
ejpam-4312	261	30	increased	increase	VERB
ejpam-4312	261	31	susceptibility	susceptibility	NOUN
ejpam-4312	261	32	to	to	ADP
ejpam-4312	261	33	covid-19	covid-19	PROPN
ejpam-4312	261	34	infection	infection	NOUN
ejpam-4312	261	35	by	by	ADP
ejpam-4312	261	36	pregnant	pregnant	ADJ
ejpam-4312	261	37	women	woman	NOUN
ejpam-4312	261	38	,	,	PUNCT
ejpam-4312	261	39	transmission	transmission	NOUN
ejpam-4312	261	40	coefficient	coefficient	NOUN
ejpam-4312	261	41	%	%	NOUN
ejpam-4312	261	42	of	of	ADP
ejpam-4312	261	43	the	the	DET
ejpam-4312	261	44	class	class	NOUN
ejpam-4312	261	45	j.	j.	PROPN
ejpam-4312	261	46	tsetimi	tsetimi	PROPN
ejpam-4312	261	47	,	,	PUNCT
ejpam-4312	261	48	m.	m.	NOUN
ejpam-4312	261	49	i.	i.	PROPN
ejpam-4312	261	50	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	261	51	,	,	PUNCT
ejpam-4312	261	52	a.	a.	PROPN
ejpam-4312	261	53	atonuje	atonuje	PROPN
ejpam-4312	261	54	/	/	SYM
ejpam-4312	261	55	eur	eur	PROPN
ejpam-4312	261	56	.	.	PUNCT
ejpam-4312	262	1	j.	j.	PROPN
ejpam-4312	262	2	pure	pure	PROPN
ejpam-4312	262	3	appl	appl	PROPN
ejpam-4312	262	4	.	.	PROPN
ejpam-4312	262	5	math	math	PROPN
ejpam-4312	262	6	,	,	PUNCT
ejpam-4312	262	7	15	15	NUM
ejpam-4312	262	8	(	(	PUNCT
ejpam-4312	262	9	2	2	NUM
ejpam-4312	262	10	)	)	PUNCT
ejpam-4312	262	11	(	(	PUNCT
ejpam-4312	262	12	2022	2022	NUM
ejpam-4312	262	13	)	)	PUNCT
ejpam-4312	262	14	,	,	PUNCT
ejpam-4312	262	15	537	537	NUM
ejpam-4312	262	16	-	-	SYM
ejpam-4312	262	17	556	556	NUM
ejpam-4312	262	18	552	552	NUM
ejpam-4312	262	19	of	of	ADP
ejpam-4312	262	20	infectious	infectious	ADJ
ejpam-4312	262	21	pregnant	pregnant	ADJ
ejpam-4312	262	22	women	woman	NOUN
ejpam-4312	262	23	we	we	PRON
ejpam-4312	262	24	can	can	AUX
ejpam-4312	262	25	successfully	successfully	ADV
ejpam-4312	262	26	achieve	achieve	VERB
ejpam-4312	262	27	r0	r0	NOUN
ejpam-4312	262	28	<	<	X
ejpam-4312	262	29	1	1	NUM
ejpam-4312	262	30	.	.	PUNCT
ejpam-4312	263	1	below	below	ADV
ejpam-4312	263	2	are	be	AUX
ejpam-4312	263	3	simulations	simulation	NOUN
ejpam-4312	263	4	showing	show	VERB
ejpam-4312	263	5	the	the	DET
ejpam-4312	263	6	effect	effect	NOUN
ejpam-4312	263	7	of	of	ADP
ejpam-4312	263	8	the	the	DET
ejpam-4312	263	9	parameters	parameter	NOUN
ejpam-4312	263	10	κ	κ	VERB
ejpam-4312	263	11	,	,	PUNCT
ejpam-4312	263	12	β	β	X
ejpam-4312	263	13	,	,	PUNCT
ejpam-4312	263	14	%	%	INTJ
ejpam-4312	263	15	,	,	PUNCT
ejpam-4312	263	16	θ	θ	PROPN
ejpam-4312	263	17	,	,	PUNCT
ejpam-4312	263	18	on	on	ADP
ejpam-4312	263	19	the	the	DET
ejpam-4312	263	20	number	number	NOUN
ejpam-4312	263	21	of	of	ADP
ejpam-4312	263	22	infections	infection	NOUN
ejpam-4312	263	23	.	.	PUNCT
ejpam-4312	264	1	figure	figure	VERB
ejpam-4312	264	2	3	3	NUM
ejpam-4312	264	3	:	:	PUNCT
ejpam-4312	264	4	effect	effect	NOUN
ejpam-4312	264	5	of	of	ADP
ejpam-4312	264	6	κ	κ	PROPN
ejpam-4312	264	7	on	on	ADP
ejpam-4312	264	8	the	the	DET
ejpam-4312	264	9	infectious	infectious	ADJ
ejpam-4312	264	10	class	class	NOUN
ejpam-4312	264	11	figure	figure	NOUN
ejpam-4312	264	12	4	4	NUM
ejpam-4312	264	13	:	:	PUNCT
ejpam-4312	264	14	effect	effect	NOUN
ejpam-4312	264	15	of	of	ADP
ejpam-4312	264	16	β	β	PRON
ejpam-4312	264	17	on	on	ADP
ejpam-4312	264	18	the	the	DET
ejpam-4312	264	19	infectious	infectious	ADJ
ejpam-4312	264	20	class	class	NOUN
ejpam-4312	264	21	figure	figure	NOUN
ejpam-4312	264	22	5	5	NUM
ejpam-4312	264	23	:	:	PUNCT
ejpam-4312	264	24	effect	effect	NOUN
ejpam-4312	264	25	of	of	ADP
ejpam-4312	264	26	%	%	NOUN
ejpam-4312	264	27	on	on	ADP
ejpam-4312	264	28	the	the	DET
ejpam-4312	264	29	infectious	infectious	ADJ
ejpam-4312	264	30	class	class	NOUN
ejpam-4312	264	31	j.	j.	PROPN
ejpam-4312	264	32	tsetimi	tsetimi	PROPN
ejpam-4312	264	33	,	,	PUNCT
ejpam-4312	264	34	m.	m.	NOUN
ejpam-4312	264	35	i.	i.	PROPN
ejpam-4312	264	36	ossaiugbo	ossaiugbo	PROPN
ejpam-4312	264	37	,	,	PUNCT
ejpam-4312	264	38	a.	a.	PROPN
ejpam-4312	264	39	atonuje	atonuje	PROPN
ejpam-4312	264	40	/	/	SYM
ejpam-4312	264	41	eur	eur	PROPN
ejpam-4312	264	42	.	.	PUNCT
ejpam-4312	265	1	j.	j.	PROPN
ejpam-4312	265	2	pure	pure	PROPN
ejpam-4312	265	3	appl	appl	PROPN
ejpam-4312	265	4	.	.	PROPN
ejpam-4312	265	5	math	math	PROPN
ejpam-4312	265	6	,	,	PUNCT
ejpam-4312	265	7	15	15	NUM
ejpam-4312	265	8	(	(	PUNCT
ejpam-4312	265	9	2	2	NUM
ejpam-4312	265	10	)	)	PUNCT
ejpam-4312	265	11	(	(	PUNCT
ejpam-4312	265	12	2022	2022	NUM
ejpam-4312	265	13	)	)	PUNCT
ejpam-4312	265	14	,	,	PUNCT
ejpam-4312	265	15	537	537	NUM
ejpam-4312	265	16	-	-	SYM
ejpam-4312	265	17	556	556	NUM
ejpam-4312	265	18	553	553	NUM
ejpam-4312	265	19	figure	figure	NOUN
ejpam-4312	265	20	6	6	NUM
ejpam-4312	265	21	:	:	PUNCT
ejpam-4312	265	22	effect	effect	NOUN
ejpam-4312	265	23	of	of	ADP
ejpam-4312	265	24	θ	θ	PROPN
ejpam-4312	265	25	on	on	ADP
ejpam-4312	265	26	the	the	DET
ejpam-4312	265	27	infectious	infectious	ADJ
ejpam-4312	265	28	class	class	NOUN
ejpam-4312	265	29	6	6	NUM
ejpam-4312	265	30	.	.	PUNCT
ejpam-4312	265	31	discussion	discussion	NOUN
ejpam-4312	265	32	and	and	CCONJ
ejpam-4312	265	33	conclusion	conclusion	VERB
ejpam-4312	265	34	a	a	DET
ejpam-4312	265	35	deterministic	deterministic	ADJ
ejpam-4312	265	36	mathematical	mathematical	ADJ
ejpam-4312	265	37	model	model	NOUN
ejpam-4312	265	38	is	be	AUX
ejpam-4312	265	39	considered	consider	VERB
ejpam-4312	265	40	in	in	ADP
ejpam-4312	265	41	this	this	DET
ejpam-4312	265	42	research	research	NOUN
ejpam-4312	265	43	paper	paper	NOUN
ejpam-4312	265	44	.	.	PUNCT
ejpam-4312	266	1	the	the	DET
ejpam-4312	266	2	model	model	NOUN
ejpam-4312	266	3	divides	divide	VERB
ejpam-4312	266	4	the	the	DET
ejpam-4312	266	5	women	woman	NOUN
ejpam-4312	266	6	population	population	NOUN
ejpam-4312	266	7	into	into	ADP
ejpam-4312	266	8	seven	seven	NUM
ejpam-4312	266	9	mutually	mutually	ADV
ejpam-4312	266	10	exclusive	exclusive	ADJ
ejpam-4312	266	11	compartments	compartment	NOUN
ejpam-4312	266	12	according	accord	VERB
ejpam-4312	266	13	to	to	ADP
ejpam-4312	266	14	their	their	PRON
ejpam-4312	266	15	disease	disease	NOUN
ejpam-4312	266	16	status	status	NOUN
ejpam-4312	266	17	,	,	PUNCT
ejpam-4312	266	18	namely	namely	ADV
ejpam-4312	266	19	the	the	DET
ejpam-4312	266	20	pregnant	pregnant	ADJ
ejpam-4312	266	21	susceptible	susceptible	ADJ
ejpam-4312	266	22	women	woman	NOUN
ejpam-4312	266	23	sp	sp	ADP
ejpam-4312	266	24	,	,	PUNCT
ejpam-4312	266	25	the	the	DET
ejpam-4312	266	26	non	non	ADJ
ejpam-4312	266	27	-	-	ADJ
ejpam-4312	266	28	pregnant	pregnant	ADJ
ejpam-4312	266	29	susceptible	susceptible	ADJ
ejpam-4312	266	30	women	woman	NOUN
ejpam-4312	266	31	sn	sn	PROPN
ejpam-4312	266	32	,	,	PUNCT
ejpam-4312	266	33	the	the	DET
ejpam-4312	266	34	pregnant	pregnant	ADJ
ejpam-4312	266	35	infectious	infectious	ADJ
ejpam-4312	266	36	women	woman	NOUN
ejpam-4312	266	37	ip	ip	PROPN
ejpam-4312	266	38	,	,	PUNCT
ejpam-4312	266	39	the	the	DET
ejpam-4312	266	40	non	non	ADJ
ejpam-4312	266	41	-	-	ADJ
ejpam-4312	266	42	pregnant	pregnant	ADJ
ejpam-4312	266	43	infectious	infectious	ADJ
ejpam-4312	266	44	women	woman	NOUN
ejpam-4312	266	45	in	in	ADP
ejpam-4312	266	46	,	,	PUNCT
ejpam-4312	266	47	the	the	DET
ejpam-4312	266	48	recovered	recover	VERB
ejpam-4312	266	49	pregnant	pregnant	ADJ
ejpam-4312	266	50	women	woman	NOUN
ejpam-4312	266	51	rp	rp	NOUN
ejpam-4312	266	52	,	,	PUNCT
ejpam-4312	266	53	the	the	DET
ejpam-4312	266	54	recovered	recovered	ADJ
ejpam-4312	266	55	non	non	ADJ
ejpam-4312	266	56	-	-	ADJ
ejpam-4312	266	57	pregnant	pregnant	ADJ
ejpam-4312	266	58	women	woman	NOUN
ejpam-4312	266	59	rn	rn	PROPN
ejpam-4312	266	60	,	,	PUNCT
ejpam-4312	266	61	and	and	CCONJ
ejpam-4312	266	62	the	the	DET
ejpam-4312	266	63	hospitalized	hospitalize	VERB
ejpam-4312	266	64	women	woman	NOUN
ejpam-4312	266	65	h.	h.	PROPN
ejpam-4312	266	66	the	the	DET
ejpam-4312	266	67	size	size	NOUN
ejpam-4312	266	68	of	of	ADP
ejpam-4312	266	69	each	each	DET
ejpam-4312	266	70	class	class	NOUN
ejpam-4312	266	71	is	be	AUX
ejpam-4312	266	72	a	a	DET
ejpam-4312	266	73	function	function	NOUN
ejpam-4312	266	74	of	of	ADP
ejpam-4312	266	75	time	time	NOUN
ejpam-4312	266	76	t.	t.	NOUN
ejpam-4312	266	77	the	the	DET
ejpam-4312	266	78	system	system	NOUN
ejpam-4312	266	79	of	of	ADP
ejpam-4312	266	80	equations	equation	NOUN
ejpam-4312	266	81	is	be	AUX
ejpam-4312	266	82	shown	show	VERB
ejpam-4312	266	83	in	in	ADP
ejpam-4312	266	84	system	system	NOUN
ejpam-4312	266	85	(	(	PUNCT
ejpam-4312	266	86	9	9	NUM
ejpam-4312	266	87	)	)	PUNCT
ejpam-4312	266	88	and	and	CCONJ
ejpam-4312	266	89	the	the	DET
ejpam-4312	266	90	dynamics	dynamic	NOUN
ejpam-4312	266	91	is	be	AUX
ejpam-4312	266	92	clearly	clearly	ADV
ejpam-4312	266	93	displayed	display	VERB
ejpam-4312	266	94	in	in	ADP
ejpam-4312	266	95	the	the	DET
ejpam-4312	266	96	schematic	schematic	ADJ
ejpam-4312	266	97	diagram	diagram	NOUN
ejpam-4312	266	98	contained	contain	VERB
ejpam-4312	266	99	as	as	ADP
ejpam-4312	266	100	figure	figure	NOUN
ejpam-4312	266	101	1	1	NUM
ejpam-4312	266	102	.	.	PUNCT
ejpam-4312	267	1	by	by	ADP
ejpam-4312	267	2	the	the	DET
ejpam-4312	267	3	basic	basic	ADJ
ejpam-4312	267	4	mathematical	mathematical	ADJ
ejpam-4312	267	5	analyses	analysis	NOUN
ejpam-4312	267	6	,	,	PUNCT
ejpam-4312	267	7	it	it	PRON
ejpam-4312	267	8	is	be	AUX
ejpam-4312	267	9	revealed	reveal	VERB
ejpam-4312	267	10	that	that	SCONJ
ejpam-4312	267	11	the	the	DET
ejpam-4312	267	12	solution	solution	NOUN
ejpam-4312	267	13	of	of	ADP
ejpam-4312	267	14	the	the	DET
ejpam-4312	267	15	system	system	NOUN
ejpam-4312	267	16	of	of	ADP
ejpam-4312	267	17	equations	equation	NOUN
ejpam-4312	267	18	is	be	AUX
ejpam-4312	267	19	positive	positive	ADJ
ejpam-4312	267	20	for	for	ADP
ejpam-4312	267	21	all	all	DET
ejpam-4312	267	22	time	time	NOUN
ejpam-4312	267	23	t	t	PROPN
ejpam-4312	267	24	and	and	CCONJ
ejpam-4312	267	25	the	the	DET
ejpam-4312	267	26	invariant	invariant	ADJ
ejpam-4312	267	27	region	region	NOUN
ejpam-4312	267	28	γ	γ	PROPN
ejpam-4312	267	29	was	be	AUX
ejpam-4312	267	30	given	give	VERB
ejpam-4312	267	31	.	.	PUNCT
ejpam-4312	268	1	the	the	DET
ejpam-4312	268	2	proof	proof	NOUN
ejpam-4312	268	3	which	which	PRON
ejpam-4312	268	4	was	be	AUX
ejpam-4312	268	5	clearly	clearly	ADV
ejpam-4312	268	6	given	give	VERB
ejpam-4312	268	7	also	also	ADV
ejpam-4312	268	8	confirmed	confirm	VERB
ejpam-4312	268	9	the	the	DET
ejpam-4312	268	10	existence	existence	NOUN
ejpam-4312	268	11	of	of	ADP
ejpam-4312	268	12	the	the	DET
ejpam-4312	268	13	invariant	invariant	ADJ
ejpam-4312	268	14	region	region	NOUN
ejpam-4312	268	15	.	.	PUNCT
ejpam-4312	269	1	the	the	DET
ejpam-4312	269	2	disease	disease	NOUN
ejpam-4312	269	3	-	-	PUNCT
ejpam-4312	269	4	free	free	ADJ
ejpam-4312	269	5	equilibrium	equilibrium	NOUN
ejpam-4312	269	6	was	be	AUX
ejpam-4312	269	7	obtained	obtain	VERB
ejpam-4312	269	8	.	.	PUNCT
ejpam-4312	270	1	the	the	DET
ejpam-4312	270	2	expression	expression	NOUN
ejpam-4312	270	3	for	for	ADP
ejpam-4312	270	4	the	the	DET
ejpam-4312	270	5	average	average	ADJ
ejpam-4312	270	6	number	number	NOUN
ejpam-4312	270	7	of	of	ADP
ejpam-4312	270	8	secondary	secondary	ADJ
ejpam-4312	270	9	cases	case	NOUN
ejpam-4312	270	10	generated	generate	VERB
ejpam-4312	270	11	by	by	ADP
ejpam-4312	270	12	a	a	DET
ejpam-4312	270	13	single	single	ADJ
ejpam-4312	270	14	infectious	infectious	ADJ
ejpam-4312	270	15	individual	individual	NOUN
ejpam-4312	270	16	in	in	ADP
ejpam-4312	270	17	an	an	DET
ejpam-4312	270	18	entirely	entirely	ADV
ejpam-4312	270	19	susceptible	susceptible	ADJ
ejpam-4312	270	20	population	population	NOUN
ejpam-4312	270	21	,	,	PUNCT
ejpam-4312	270	22	which	which	PRON
ejpam-4312	270	23	is	be	AUX
ejpam-4312	270	24	given	give	VERB
ejpam-4312	270	25	as	as	ADP
ejpam-4312	270	26	r0	r0	NOUN
ejpam-4312	270	27	,	,	PUNCT
ejpam-4312	270	28	was	be	AUX
ejpam-4312	270	29	obtained	obtain	VERB
ejpam-4312	270	30	via	via	ADP
ejpam-4312	270	31	the	the	DET
ejpam-4312	270	32	next	next	ADJ
ejpam-4312	270	33	-	-	PUNCT
ejpam-4312	270	34	generation	generation	NOUN
ejpam-4312	270	35	matrix	matrix	NOUN
ejpam-4312	270	36	approach	approach	NOUN
ejpam-4312	270	37	,	,	PUNCT
ejpam-4312	270	38	and	and	CCONJ
ejpam-4312	270	39	the	the	DET
ejpam-4312	270	40	parameter	parameter	NOUN
ejpam-4312	270	41	values	value	NOUN
ejpam-4312	270	42	contained	contain	VERB
ejpam-4312	270	43	in	in	ADP
ejpam-4312	270	44	table	table	NOUN
ejpam-4312	270	45	2	2	NUM
ejpam-4312	270	46	resulted	result	VERB
ejpam-4312	270	47	in	in	ADP
ejpam-4312	270	48	r0	r0	NOUN
ejpam-4312	270	49	=	=	SYM
ejpam-4312	270	50	0.58599	0.58599	NUM
ejpam-4312	270	51	.	.	PUNCT
ejpam-4312	271	1	from	from	ADP
ejpam-4312	271	2	the	the	DET
ejpam-4312	271	3	sensitivity	sensitivity	NOUN
ejpam-4312	271	4	analysis	analysis	NOUN
ejpam-4312	271	5	,	,	PUNCT
ejpam-4312	271	6	it	it	PRON
ejpam-4312	271	7	is	be	AUX
ejpam-4312	271	8	seen	see	VERB
ejpam-4312	271	9	that	that	SCONJ
ejpam-4312	271	10	the	the	DET
ejpam-4312	271	11	most	most	ADV
ejpam-4312	271	12	sensitive	sensitive	ADJ
ejpam-4312	271	13	parameters	parameter	NOUN
ejpam-4312	271	14	of	of	ADP
ejpam-4312	271	15	the	the	DET
ejpam-4312	271	16	basic	basic	ADJ
ejpam-4312	271	17	reproduction	reproduction	NOUN
ejpam-4312	271	18	number	number	NOUN
ejpam-4312	271	19	,	,	PUNCT
ejpam-4312	271	20	r0	r0	NOUN
ejpam-4312	271	21	,	,	PUNCT
ejpam-4312	271	22	are	be	AUX
ejpam-4312	271	23	κ	κ	NOUN
ejpam-4312	271	24	,	,	PUNCT
ejpam-4312	271	25	β	β	X
ejpam-4312	271	26	,	,	PUNCT
ejpam-4312	271	27	ι	ι	PROPN
ejpam-4312	271	28	,	,	PUNCT
ejpam-4312	271	29	θ	θ	PROPN
ejpam-4312	271	30	,	,	PUNCT
ejpam-4312	271	31	%	%	INTJ
ejpam-4312	271	32	,	,	PUNCT
ejpam-4312	271	33	which	which	PRON
ejpam-4312	271	34	are	be	AUX
ejpam-4312	271	35	the	the	DET
ejpam-4312	271	36	effective	effective	ADJ
ejpam-4312	271	37	contact	contact	NOUN
ejpam-4312	271	38	rate	rate	NOUN
ejpam-4312	271	39	for	for	ADP
ejpam-4312	271	40	covid-19	covid-19	PROPN
ejpam-4312	271	41	transmission	transmission	NOUN
ejpam-4312	271	42	,	,	PUNCT
ejpam-4312	271	43	the	the	DET
ejpam-4312	271	44	modification	modification	NOUN
ejpam-4312	271	45	parameter	parameter	NOUN
ejpam-4312	271	46	accounting	account	VERB
ejpam-4312	271	47	for	for	ADP
ejpam-4312	271	48	increased	increase	VERB
ejpam-4312	271	49	susceptibility	susceptibility	NOUN
ejpam-4312	271	50	to	to	ADP
ejpam-4312	271	51	covid-19	covid-19	PROPN
ejpam-4312	271	52	infection	infection	NOUN
ejpam-4312	271	53	by	by	ADP
ejpam-4312	271	54	pregnant	pregnant	ADJ
ejpam-4312	271	55	women	woman	NOUN
ejpam-4312	271	56	,	,	PUNCT
ejpam-4312	271	57	the	the	DET
ejpam-4312	271	58	transmission	transmission	NOUN
ejpam-4312	271	59	coefficient	coefficient	NOUN
ejpam-4312	271	60	of	of	ADP
ejpam-4312	271	61	the	the	DET
ejpam-4312	271	62	hospitalised	hospitalised	ADJ
ejpam-4312	271	63	class	class	NOUN
ejpam-4312	271	64	,	,	PUNCT
ejpam-4312	271	65	the	the	DET
ejpam-4312	271	66	rate	rate	NOUN
ejpam-4312	271	67	of	of	ADP
ejpam-4312	271	68	delivery	delivery	NOUN
ejpam-4312	271	69	of	of	ADP
ejpam-4312	271	70	newborns	newborn	NOUN
ejpam-4312	271	71	,	,	PUNCT
ejpam-4312	271	72	and	and	CCONJ
ejpam-4312	271	73	the	the	DET
ejpam-4312	271	74	transmission	transmission	NOUN
ejpam-4312	271	75	coefficient	coefficient	NOUN
ejpam-4312	271	76	of	of	ADP
ejpam-4312	271	77	the	the	DET
ejpam-4312	271	78	infectious	infectious	ADJ
ejpam-4312	271	79	pregnant	pregnant	ADJ
ejpam-4312	271	80	women	woman	NOUN
ejpam-4312	271	81	respectively	respectively	ADV
ejpam-4312	271	82	.	.	PUNCT
ejpam-4312	272	1	the	the	DET
ejpam-4312	272	2	less	less	ADV
ejpam-4312	272	3	sensitive	sensitive	ADJ
ejpam-4312	272	4	parameters	parameter	NOUN
ejpam-4312	272	5	are	be	AUX
ejpam-4312	272	6	the	the	DET
ejpam-4312	272	7	conception	conception	NOUN
ejpam-4312	272	8	rate	rate	NOUN
ejpam-4312	272	9	δ	δ	PROPN
ejpam-4312	272	10	,	,	PUNCT
ejpam-4312	272	11	the	the	DET
ejpam-4312	272	12	recovery	recovery	NOUN
ejpam-4312	272	13	rate	rate	NOUN
ejpam-4312	272	14	ϕ	ϕ	PROPN
ejpam-4312	272	15	of	of	ADP
ejpam-4312	272	16	hospitalised	hospitalise	VERB
ejpam-4312	272	17	individuals	individual	NOUN
ejpam-4312	272	18	,	,	PUNCT
ejpam-4312	272	19	the	the	DET
ejpam-4312	272	20	recovery	recovery	NOUN
ejpam-4312	272	21	rate	rate	NOUN
ejpam-4312	272	22	γ	γ	NOUN
ejpam-4312	272	23	of	of	ADP
ejpam-4312	272	24	infectious	infectious	ADJ
ejpam-4312	272	25	pregnant	pregnant	ADJ
ejpam-4312	272	26	women	woman	NOUN
ejpam-4312	272	27	.	.	PUNCT
ejpam-4312	273	1	a	a	DET
ejpam-4312	273	2	small	small	ADJ
ejpam-4312	273	3	increment	increment	NOUN
ejpam-4312	273	4	in	in	ADP
ejpam-4312	273	5	the	the	DET
ejpam-4312	273	6	values	value	NOUN
ejpam-4312	273	7	of	of	ADP
ejpam-4312	273	8	the	the	DET
ejpam-4312	273	9	parameters	parameter	NOUN
ejpam-4312	273	10	β	β	X
ejpam-4312	273	11	and	and	CCONJ
ejpam-4312	273	12	%	%	INTJ
ejpam-4312	273	13	,	,	PUNCT
ejpam-4312	273	14	causes	cause	VERB
ejpam-4312	273	15	a	a	DET
ejpam-4312	273	16	great	great	ADJ
ejpam-4312	273	17	increment	increment	NOUN
ejpam-4312	273	18	in	in	ADP
ejpam-4312	273	19	the	the	DET
ejpam-4312	273	20	value	value	NOUN
ejpam-4312	273	21	of	of	ADP
ejpam-4312	273	22	r0	r0	NOUN
ejpam-4312	273	23	and	and	CCONJ
ejpam-4312	273	24	hence	hence	ADV
ejpam-4312	273	25	in	in	ADP
ejpam-4312	273	26	the	the	DET
ejpam-4312	273	27	number	number	NOUN
ejpam-4312	273	28	of	of	ADP
ejpam-4312	273	29	infectious	infectious	ADJ
ejpam-4312	273	30	cases	case	NOUN
ejpam-4312	273	31	.	.	PUNCT
ejpam-4312	274	1	thus	thus	ADV
ejpam-4312	274	2	,	,	PUNCT
ejpam-4312	274	3	the	the	DET
ejpam-4312	274	4	values	value	NOUN
ejpam-4312	274	5	of	of	ADP
ejpam-4312	274	6	certain	certain	ADJ
ejpam-4312	274	7	parameters	parameter	NOUN
ejpam-4312	274	8	of	of	ADP
ejpam-4312	274	9	the	the	DET
ejpam-4312	274	10	class	class	NOUN
ejpam-4312	274	11	of	of	ADP
ejpam-4312	274	12	pregnant	pregnant	ADJ
ejpam-4312	274	13	women	woman	NOUN
ejpam-4312	274	14	affect	affect	VERB
ejpam-4312	274	15	the	the	DET
ejpam-4312	274	16	number	number	NOUN
ejpam-4312	274	17	of	of	ADP
ejpam-4312	274	18	infectious	infectious	ADJ
ejpam-4312	274	19	cases	case	NOUN
ejpam-4312	274	20	.	.	PUNCT
ejpam-4312	275	1	the	the	DET
ejpam-4312	275	2	bifurcation	bifurcation	NOUN
ejpam-4312	275	3	analysis	analysis	NOUN
ejpam-4312	275	4	which	which	PRON
ejpam-4312	275	5	was	be	AUX
ejpam-4312	275	6	done	do	VERB
ejpam-4312	275	7	via	via	ADP
ejpam-4312	275	8	the	the	DET
ejpam-4312	275	9	centre	centre	NOUN
ejpam-4312	275	10	manifold	manifold	ADJ
ejpam-4312	275	11	theorem	theorem	NOUN
ejpam-4312	275	12	revealed	reveal	VERB
ejpam-4312	275	13	a	a	DET
ejpam-4312	275	14	forward	forward	ADJ
ejpam-4312	275	15	bifurcation	bifurcation	NOUN
ejpam-4312	275	16	.	.	PUNCT
ejpam-4312	276	1	that	that	PRON
ejpam-4312	276	2	is	be	AUX
ejpam-4312	276	3	,	,	PUNCT
ejpam-4312	276	4	r0	r0	VERB
ejpam-4312	276	5	<	<	X
ejpam-4312	276	6	1	1	NUM
ejpam-4312	276	7	guarantees	guarantee	VERB
ejpam-4312	276	8	the	the	DET
ejpam-4312	276	9	stability	stability	NOUN
ejpam-4312	276	10	of	of	ADP
ejpam-4312	276	11	the	the	DET
ejpam-4312	276	12	disease	disease	NOUN
ejpam-4312	276	13	-	-	PUNCT
ejpam-4312	276	14	free	free	ADJ
ejpam-4312	276	15	equilibrium	equilibrium	NOUN
ejpam-4312	276	16	.	.	PUNCT
ejpam-4312	277	1	this	this	PRON
ejpam-4312	277	2	can	can	AUX
ejpam-4312	277	3	be	be	AUX
ejpam-4312	277	4	achieved	achieve	VERB
ejpam-4312	277	5	by	by	ADP
ejpam-4312	277	6	minimizing	minimize	VERB
ejpam-4312	277	7	the	the	DET
ejpam-4312	277	8	most	most	ADV
ejpam-4312	277	9	sensitive	sensitive	ADJ
ejpam-4312	277	10	parameters	parameter	NOUN
ejpam-4312	277	11	of	of	ADP
ejpam-4312	277	12	the	the	DET
ejpam-4312	277	13	basic	basic	ADJ
ejpam-4312	277	14	reproduction	reproduction	NOUN
ejpam-4312	277	15	number	number	NOUN
ejpam-4312	277	16	.	.	PUNCT
ejpam-4312	278	1	the	the	DET
ejpam-4312	278	2	numerical	numerical	ADJ
ejpam-4312	278	3	simulations	simulation	NOUN
ejpam-4312	278	4	shown	show	VERB
ejpam-4312	278	5	in	in	ADP
ejpam-4312	278	6	figures	figure	NOUN
ejpam-4312	278	7	4	4	NUM
ejpam-4312	278	8	–	–	PUNCT
ejpam-4312	278	9	6	6	NUM
ejpam-4312	278	10	show	show	VERB
ejpam-4312	278	11	the	the	DET
ejpam-4312	278	12	effects	effect	NOUN
ejpam-4312	278	13	of	of	ADP
ejpam-4312	278	14	the	the	DET
ejpam-4312	278	15	most	most	ADV
ejpam-4312	278	16	sensitive	sensitive	ADJ
ejpam-4312	278	17	parameters	parameter	NOUN
ejpam-4312	278	18	of	of	ADP
ejpam-4312	278	19	references	reference	NOUN
ejpam-4312	278	20	554	554	NUM
ejpam-4312	278	21	r0	r0	NOUN
ejpam-4312	278	22	on	on	ADP
ejpam-4312	278	23	the	the	DET
ejpam-4312	278	24	infectious	infectious	ADJ
ejpam-4312	278	25	class	class	NOUN
ejpam-4312	278	26	.	.	PUNCT
ejpam-4312	279	1	we	we	PRON
ejpam-4312	279	2	observed	observe	VERB
ejpam-4312	279	3	that	that	SCONJ
ejpam-4312	279	4	an	an	DET
ejpam-4312	279	5	increase	increase	NOUN
ejpam-4312	279	6	in	in	ADP
ejpam-4312	279	7	the	the	DET
ejpam-4312	279	8	values	value	NOUN
ejpam-4312	279	9	of	of	ADP
ejpam-4312	279	10	the	the	DET
ejpam-4312	279	11	parameters	parameter	NOUN
ejpam-4312	279	12	causes	cause	VERB
ejpam-4312	279	13	an	an	DET
ejpam-4312	279	14	increase	increase	NOUN
ejpam-4312	279	15	in	in	ADP
ejpam-4312	279	16	the	the	DET
ejpam-4312	279	17	size	size	NOUN
ejpam-4312	279	18	of	of	ADP
ejpam-4312	279	19	the	the	DET
ejpam-4312	279	20	infectious	infectious	ADJ
ejpam-4312	279	21	class	class	NOUN
ejpam-4312	279	22	.	.	PUNCT
ejpam-4312	280	1	from	from	ADP
ejpam-4312	280	2	figure	figure	NOUN
ejpam-4312	280	3	3	3	NUM
ejpam-4312	280	4	,	,	PUNCT
ejpam-4312	280	5	we	we	PRON
ejpam-4312	280	6	see	see	VERB
ejpam-4312	280	7	that	that	SCONJ
ejpam-4312	280	8	setting	set	VERB
ejpam-4312	280	9	the	the	DET
ejpam-4312	280	10	effective	effective	ADJ
ejpam-4312	280	11	contact	contact	NOUN
ejpam-4312	280	12	rate	rate	NOUN
ejpam-4312	280	13	κ	κ	PROPN
ejpam-4312	280	14	>	>	X
ejpam-4312	280	15	1.082	1.082	NUM
ejpam-4312	280	16	,	,	PUNCT
ejpam-4312	280	17	we	we	PRON
ejpam-4312	280	18	obtain	obtain	VERB
ejpam-4312	280	19	a	a	DET
ejpam-4312	280	20	spontaneous	spontaneous	ADJ
ejpam-4312	280	21	increase	increase	NOUN
ejpam-4312	280	22	in	in	ADP
ejpam-4312	280	23	the	the	DET
ejpam-4312	280	24	number	number	NOUN
ejpam-4312	280	25	of	of	ADP
ejpam-4312	280	26	infectious	infectious	ADJ
ejpam-4312	280	27	cases	case	NOUN
ejpam-4312	280	28	.	.	PUNCT
ejpam-4312	281	1	figure	figure	NOUN
ejpam-4312	281	2	4	4	NUM
ejpam-4312	281	3	revealed	reveal	VERB
ejpam-4312	281	4	that	that	SCONJ
ejpam-4312	281	5	setting	set	VERB
ejpam-4312	281	6	1.05	1.05	NUM
ejpam-4312	281	7	<	<	X
ejpam-4312	281	8	β	β	X
ejpam-4312	281	9	<	<	X
ejpam-4312	281	10	4	4	NUM
ejpam-4312	281	11	shoots	shoot	NOUN
ejpam-4312	281	12	up	up	ADP
ejpam-4312	281	13	the	the	DET
ejpam-4312	281	14	number	number	NOUN
ejpam-4312	281	15	of	of	ADP
ejpam-4312	281	16	infectious	infectious	ADJ
ejpam-4312	281	17	cases	case	NOUN
ejpam-4312	281	18	.	.	PUNCT
ejpam-4312	282	1	similarly	similarly	ADV
ejpam-4312	282	2	from	from	ADP
ejpam-4312	282	3	figure	figure	NOUN
ejpam-4312	282	4	5	5	NUM
ejpam-4312	282	5	and	and	CCONJ
ejpam-4312	282	6	6	6	NUM
ejpam-4312	282	7	,	,	PUNCT
ejpam-4312	282	8	setting	set	VERB
ejpam-4312	282	9	0.04	0.04	NUM
ejpam-4312	282	10	<	<	NOUN
ejpam-4312	282	11	%	%	NOUN
ejpam-4312	282	12	<	<	X
ejpam-4312	282	13	1	1	NUM
ejpam-4312	282	14	and	and	CCONJ
ejpam-4312	282	15	0.036	0.036	NUM
ejpam-4312	282	16	<	<	X
ejpam-4312	282	17	θ	θ	X
ejpam-4312	282	18	<	<	X
ejpam-4312	282	19	0.1	0.1	NUM
ejpam-4312	282	20	also	also	ADV
ejpam-4312	282	21	results	result	VERB
ejpam-4312	282	22	in	in	ADP
ejpam-4312	282	23	shooting	shoot	VERB
ejpam-4312	282	24	up	up	ADP
ejpam-4312	282	25	the	the	DET
ejpam-4312	282	26	number	number	NOUN
ejpam-4312	282	27	of	of	ADP
ejpam-4312	282	28	infectious	infectious	ADJ
ejpam-4312	282	29	cases	case	NOUN
ejpam-4312	282	30	.	.	PUNCT
ejpam-4312	283	1	thus	thus	ADV
ejpam-4312	283	2	in	in	ADP
ejpam-4312	283	3	controlling	control	VERB
ejpam-4312	283	4	and	and	CCONJ
ejpam-4312	283	5	eliminating	eliminate	VERB
ejpam-4312	283	6	this	this	DET
ejpam-4312	283	7	dreadful	dreadful	ADJ
ejpam-4312	283	8	enemy	enemy	NOUN
ejpam-4312	283	9	of	of	ADP
ejpam-4312	283	10	man	man	NOUN
ejpam-4312	283	11	especially	especially	ADV
ejpam-4312	283	12	among	among	ADP
ejpam-4312	283	13	the	the	DET
ejpam-4312	283	14	women	woman	NOUN
ejpam-4312	283	15	population	population	NOUN
ejpam-4312	283	16	,	,	PUNCT
ejpam-4312	283	17	these	these	DET
ejpam-4312	283	18	parameters	parameter	NOUN
ejpam-4312	283	19	must	must	AUX
ejpam-4312	283	20	be	be	AUX
ejpam-4312	283	21	properly	properly	ADV
ejpam-4312	283	22	monitored	monitor	VERB
ejpam-4312	283	23	.	.	PUNCT
ejpam-4312	284	1	the	the	DET
ejpam-4312	284	2	simulations	simulation	NOUN
ejpam-4312	284	3	can	can	AUX
ejpam-4312	284	4	be	be	AUX
ejpam-4312	284	5	employed	employ	VERB
ejpam-4312	284	6	.	.	PUNCT
ejpam-4312	285	1	references	reference	NOUN
ejpam-4312	285	2	[	[	X
ejpam-4312	285	3	1	1	X
ejpam-4312	285	4	]	]	PUNCT
ejpam-4312	285	5	baba	baba	PROPN
ejpam-4312	285	6	i.	i.	PROPN
ejpam-4312	285	7	,	,	PUNCT
ejpam-4312	285	8	yusuf	yusuf	PROPN
ejpam-4312	285	9	a.	a.	PROPN
ejpam-4312	285	10	,	,	PUNCT
ejpam-4312	285	11	nisar	nisar	PROPN
ejpam-4312	285	12	k.	k.	PROPN
ejpam-4312	285	13	,	,	PUNCT
ejpam-4312	285	14	abdel	abdel	PROPN
ejpam-4312	285	15	-	-	PUNCT
ejpam-4312	285	16	aty	aty	PROPN
ejpam-4312	285	17	a.	a.	NOUN
ejpam-4312	285	18	,	,	PUNCT
ejpam-4312	285	19	nofal	nofal	PROPN
ejpam-4312	285	20	t.	t.	PROPN
ejpam-4312	285	21	,	,	PUNCT
ejpam-4312	285	22	”	"	PUNCT
ejpam-4312	285	23	mathematical	mathematical	ADJ
ejpam-4312	285	24	model	model	NOUN
ejpam-4312	285	25	to	to	PART
ejpam-4312	285	26	assess	assess	VERB
ejpam-4312	285	27	the	the	DET
ejpam-4312	285	28	imposition	imposition	NOUN
ejpam-4312	285	29	of	of	ADP
ejpam-4312	285	30	lockdown	lockdown	NOUN
ejpam-4312	285	31	during	during	ADP
ejpam-4312	285	32	covid-19	covid-19	PROPN
ejpam-4312	285	33	pandemic	pandemic	ADJ
ejpam-4312	285	34	,	,	PUNCT
ejpam-4312	285	35	”	"	PUNCT
ejpam-4312	285	36	results	result	NOUN
ejpam-4312	285	37	in	in	ADP
ejpam-4312	285	38	physics	physics	NOUN
ejpam-4312	285	39	,	,	PUNCT
ejpam-4312	285	40	vol	vol	NOUN
ejpam-4312	285	41	.	.	PROPN
ejpam-4312	285	42	20	20	NUM
ejpam-4312	285	43	,	,	PUNCT
ejpam-4312	285	44	doi:10.1016	doi:10.1016	PROPN
ejpam-4312	285	45	/	/	SYM
ejpam-4312	285	46	j.rinp.2020.103716	j.rinp.2020.103716	PROPN
ejpam-4312	285	47	.	.	PUNCT
ejpam-4312	286	1	2020	2020	NUM
ejpam-4312	286	2	.	.	PUNCT
ejpam-4312	287	1	[	[	X
ejpam-4312	287	2	2	2	NUM
ejpam-4312	287	3	]	]	X
ejpam-4312	287	4	castillo	castillo	PROPN
ejpam-4312	287	5	-	-	PUNCT
ejpam-4312	287	6	chavez	chavez	PROPN
ejpam-4312	287	7	c.	c.	PROPN
ejpam-4312	287	8	and	and	CCONJ
ejpam-4312	287	9	song	song	PROPN
ejpam-4312	287	10	b.	b.	PROPN
ejpam-4312	287	11	,	,	PUNCT
ejpam-4312	287	12	“	"	PUNCT
ejpam-4312	287	13	dynamical	dynamical	ADJ
ejpam-4312	287	14	models	model	NOUN
ejpam-4312	287	15	of	of	ADP
ejpam-4312	287	16	tuberculosis	tuberculosis	NOUN
ejpam-4312	287	17	and	and	CCONJ
ejpam-4312	287	18	their	their	PRON
ejpam-4312	287	19	applications	application	NOUN
ejpam-4312	287	20	,	,	PUNCT
ejpam-4312	287	21	”	"	PUNCT
ejpam-4312	287	22	mathematical	mathematical	ADJ
ejpam-4312	287	23	biosciences	bioscience	NOUN
ejpam-4312	287	24	and	and	CCONJ
ejpam-4312	287	25	engineering	engineering	NOUN
ejpam-4312	287	26	,	,	PUNCT
ejpam-4312	287	27	vol	vol	NOUN
ejpam-4312	287	28	.	.	PROPN
ejpam-4312	287	29	1	1	NUM
ejpam-4312	287	30	,	,	PUNCT
ejpam-4312	287	31	pp	pp	ADJ
ejpam-4312	287	32	.	.	PUNCT
ejpam-4312	288	1	361	361	NUM
ejpam-4312	288	2	-	-	SYM
ejpam-4312	288	3	404	404	NUM
ejpam-4312	288	4	,	,	PUNCT
ejpam-4312	288	5	https://doi.org/10.3934/mbe.2004.1.361	https://doi.org/10.3934/mbe.2004.1.361	NOUN
ejpam-4312	288	6	,	,	PUNCT
ejpam-4312	288	7	2004	2004	NUM
ejpam-4312	288	8	.	.	PUNCT
ejpam-4312	289	1	[	[	X
ejpam-4312	289	2	3	3	X
ejpam-4312	289	3	]	]	X
ejpam-4312	289	4	daniel	daniel	PROPN
ejpam-4312	289	5	d.	d.	PROPN
ejpam-4312	289	6	o.	o.	PROPN
ejpam-4312	289	7	(	(	PUNCT
ejpam-4312	289	8	2020	2020	NUM
ejpam-4312	289	9	)	)	PUNCT
ejpam-4312	289	10	.	.	PUNCT
ejpam-4312	290	1	mathematical	mathematical	ADJ
ejpam-4312	290	2	model	model	NOUN
ejpam-4312	290	3	for	for	ADP
ejpam-4312	290	4	the	the	DET
ejpam-4312	290	5	transmission	transmission	NOUN
ejpam-4312	290	6	of	of	ADP
ejpam-4312	290	7	covid-19	covid-19	PROPN
ejpam-4312	290	8	with	with	ADP
ejpam-4312	290	9	nonlinear	nonlinear	ADJ
ejpam-4312	290	10	forces	force	NOUN
ejpam-4312	290	11	of	of	ADP
ejpam-4312	290	12	infection	infection	NOUN
ejpam-4312	290	13	and	and	CCONJ
ejpam-4312	290	14	the	the	DET
ejpam-4312	290	15	need	need	NOUN
ejpam-4312	290	16	for	for	ADP
ejpam-4312	290	17	prevention	prevention	NOUN
ejpam-4312	290	18	measure	measure	NOUN
ejpam-4312	290	19	in	in	ADP
ejpam-4312	290	20	nigeria	nigeria	PROPN
ejpam-4312	290	21	.	.	PUNCT
ejpam-4312	291	1	journal	journal	PROPN
ejpam-4312	291	2	of	of	ADP
ejpam-4312	291	3	infectious	infectious	ADJ
ejpam-4312	291	4	diseases	disease	NOUN
ejpam-4312	291	5	and	and	CCONJ
ejpam-4312	291	6	epidemiology	epidemiology	NOUN
ejpam-4312	291	7	,	,	PUNCT
ejpam-4312	291	8	vol	vol	NOUN
ejpam-4312	291	9	.	.	PROPN
ejpam-4312	291	10	6	6	NUM
ejpam-4312	291	11	,	,	PUNCT
ejpam-4312	291	12	doi:10.23937/2474	doi:10.23937/2474	NOUN
ejpam-4312	291	13	-	-	PUNCT
ejpam-4312	291	14	3658/1510158	3658/1510158	NUM
ejpam-4312	291	15	.	.	PUNCT
ejpam-4312	292	1	[	[	X
ejpam-4312	292	2	4	4	X
ejpam-4312	292	3	]	]	X
ejpam-4312	292	4	dua	dua	PROPN
ejpam-4312	292	5	d.	d.	PROPN
ejpam-4312	292	6	and	and	CCONJ
ejpam-4312	292	7	samuel	samuel	PROPN
ejpam-4312	292	8	b.	b.	PROPN
ejpam-4312	292	9	,	,	PUNCT
ejpam-4312	292	10	”	"	PUNCT
ejpam-4312	292	11	mathematical	mathematical	ADJ
ejpam-4312	292	12	modeling	modeling	NOUN
ejpam-4312	292	13	of	of	ADP
ejpam-4312	292	14	covid-19	covid-19	PROPN
ejpam-4312	292	15	infection	infection	NOUN
ejpam-4312	292	16	dynamics	dynamic	NOUN
ejpam-4312	292	17	in	in	ADP
ejpam-4312	292	18	ghana	ghana	PROPN
ejpam-4312	292	19	:	:	PUNCT
ejpam-4312	292	20	impact	impact	NOUN
ejpam-4312	292	21	evaluation	evaluation	NOUN
ejpam-4312	292	22	of	of	ADP
ejpam-4312	292	23	integrated	integrated	ADJ
ejpam-4312	292	24	government	government	NOUN
ejpam-4312	292	25	and	and	CCONJ
ejpam-4312	292	26	individuals	individual	NOUN
ejpam-4312	292	27	level	level	NOUN
ejpam-4312	292	28	interventions	intervention	NOUN
ejpam-4312	292	29	.	.	PUNCT
ejpam-4312	292	30	”	"	PUNCT
ejpam-4312	293	1	infectious	infectious	ADJ
ejpam-4312	293	2	disease	disease	NOUN
ejpam-4312	293	3	modelling	modelling	NOUN
ejpam-4312	293	4	,	,	PUNCT
ejpam-4312	293	5	vol	vol	NOUN
ejpam-4312	293	6	.	.	PROPN
ejpam-4312	293	7	6	6	NUM
ejpam-4312	293	8	,	,	PUNCT
ejpam-4312	293	9	pp	pp	ADJ
ejpam-4312	293	10	.	.	PUNCT
ejpam-4312	294	1	381	381	NUM
ejpam-4312	294	2	-	-	SYM
ejpam-4312	294	3	397	397	NUM
ejpam-4312	294	4	,	,	PUNCT
ejpam-4312	294	5	https://doi.org/10.1016/j.idm.2021.01.008	https://doi.org/10.1016/j.idm.2021.01.008	NOUN
ejpam-4312	294	6	.	.	PUNCT
ejpam-4312	294	7	2021	2021	NUM
ejpam-4312	294	8	.	.	PUNCT
ejpam-4312	295	1	[	[	X
ejpam-4312	295	2	5	5	X
ejpam-4312	295	3	]	]	PUNCT
ejpam-4312	295	4	enahoro	enahoro	PROPN
ejpam-4312	295	5	a.	a.	PROPN
ejpam-4312	295	6	i.	i.	PROPN
ejpam-4312	295	7	,	,	PUNCT
ejpam-4312	295	8	oluwaseun	oluwaseun	PROPN
ejpam-4312	295	9	s.	s.	PROPN
ejpam-4312	295	10	,	,	PUNCT
ejpam-4312	295	11	calistus	calistus	PROPN
ejpam-4312	295	12	n.	n.	PROPN
ejpam-4312	295	13	n.	n.	PROPN
ejpam-4312	295	14	,	,	PUNCT
ejpam-4312	295	15	abba	abba	PROPN
ejpam-4312	295	16	b.	b.	PROPN
ejpam-4312	295	17	g.	g.	PROPN
ejpam-4312	295	18	,	,	PUNCT
ejpam-4312	295	19	”	"	PUNCT
ejpam-4312	295	20	mathematical	mathematical	ADJ
ejpam-4312	295	21	modeling	modeling	NOUN
ejpam-4312	295	22	and	and	CCONJ
ejpam-4312	295	23	analysis	analysis	NOUN
ejpam-4312	295	24	of	of	ADP
ejpam-4312	295	25	covid-19	covid-19	PROPN
ejpam-4312	295	26	pandemic	pandemic	ADJ
ejpam-4312	295	27	in	in	ADP
ejpam-4312	295	28	nigeria	nigeria	PROPN
ejpam-4312	295	29	,	,	PUNCT
ejpam-4312	295	30	”	"	PUNCT
ejpam-4312	295	31	mathematical	mathematical	ADJ
ejpam-4312	295	32	biosciences	bioscience	NOUN
ejpam-4312	295	33	and	and	CCONJ
ejpam-4312	295	34	engineering	engineering	NOUN
ejpam-4312	295	35	,	,	PUNCT
ejpam-4312	295	36	vol	vol	NOUN
ejpam-4312	295	37	.	.	PROPN
ejpam-4312	295	38	17	17	NUM
ejpam-4312	295	39	,	,	PUNCT
ejpam-4312	295	40	issue	issue	NOUN
ejpam-4312	295	41	6	6	NUM
ejpam-4312	295	42	,	,	PUNCT
ejpam-4312	295	43	7192	7192	NUM
ejpam-4312	295	44	-	-	SYM
ejpam-4312	295	45	7220	7220	NUM
ejpam-4312	295	46	,	,	PUNCT
ejpam-4312	295	47	doi	doi	NOUN
ejpam-4312	295	48	:	:	PUNCT
ejpam-4312	295	49	https://doi.org/10.1101/2020.05.22.20110387	https://doi.org/10.1101/2020.05.22.20110387	PROPN
ejpam-4312	295	50	,	,	PUNCT
ejpam-4312	295	51	2020	2020	NUM
ejpam-4312	295	52	.	.	PUNCT
ejpam-4312	296	1	[	[	X
ejpam-4312	296	2	6	6	NUM
ejpam-4312	296	3	]	]	X
ejpam-4312	296	4	schwartz	schwartz	PROPN
ejpam-4312	296	5	d.	d.	PROPN
ejpam-4312	296	6	a.	a.	PROPN
ejpam-4312	296	7	,	,	PUNCT
ejpam-4312	296	8	hyg	hyg	PROPN
ejpam-4312	296	9	m.	m.	PROPN
ejpam-4312	296	10	s.	s.	PROPN
ejpam-4312	296	11	,	,	PUNCT
ejpam-4312	296	12	avvad	avvad	PROPN
ejpam-4312	296	13	-	-	PUNCT
ejpam-4312	296	14	portari	portari	PROPN
ejpam-4312	296	15	e.	e.	PROPN
ejpam-4312	296	16	,	,	PUNCT
ejpam-4312	296	17	babal	babal	PROPN
ejpam-4312	296	18	p.	p.	PROPN
ejpam-4312	296	19	,	,	PUNCT
ejpam-4312	296	20	et	et	PROPN
ejpam-4312	296	21	al	al	PROPN
ejpam-4312	296	22	,	,	PUNCT
ejpam-4312	296	23	”	"	PUNCT
ejpam-4312	296	24	placenta	placenta	ADJ
ejpam-4312	296	25	tissue	tissue	NOUN
ejpam-4312	296	26	destruction	destruction	NOUN
ejpam-4312	296	27	and	and	CCONJ
ejpam-4312	296	28	insufficienty	insufficienty	NOUN
ejpam-4312	296	29	from	from	ADP
ejpam-4312	296	30	covid-19	covid-19	PROPN
ejpam-4312	296	31	causes	cause	VERB
ejpam-4312	296	32	stillbirth	stillbirth	NOUN
ejpam-4312	296	33	and	and	CCONJ
ejpam-4312	296	34	neonatal	neonatal	ADJ
ejpam-4312	296	35	death	death	NOUN
ejpam-4312	296	36	from	from	ADP
ejpam-4312	296	37	hypoxic	hypoxic	ADJ
ejpam-4312	296	38	-	-	PUNCT
ejpam-4312	296	39	ischemic	ischemic	ADJ
ejpam-4312	296	40	injury	injury	NOUN
ejpam-4312	296	41	:	:	PUNCT
ejpam-4312	296	42	a	a	DET
ejpam-4312	296	43	study	study	NOUN
ejpam-4312	296	44	of	of	ADP
ejpam-4312	296	45	68	68	NUM
ejpam-4312	296	46	cases	case	NOUN
ejpam-4312	296	47	with	with	ADP
ejpam-4312	296	48	sars	sar	NOUN
ejpam-4312	296	49	-	-	PUNCT
ejpam-4312	296	50	cov-2	cov-2	NOUN
ejpam-4312	296	51	placentitis	placentitis	NOUN
ejpam-4312	296	52	from	from	ADP
ejpam-4312	296	53	12	12	NUM
ejpam-4312	296	54	countries	country	NOUN
ejpam-4312	296	55	,	,	PUNCT
ejpam-4312	296	56	”	"	PUNCT
ejpam-4312	296	57	archives	archive	NOUN
ejpam-4312	296	58	of	of	ADP
ejpam-4312	296	59	pathology	pathology	PROPN
ejpam-4312	296	60	&	&	CCONJ
ejpam-4312	296	61	laboratory	laboratory	PROPN
ejpam-4312	296	62	medicine	medicine	NOUN
ejpam-4312	296	63	,	,	PUNCT
ejpam-4312	296	64	https://doi.org/10.5858/	https://doi.org/10.5858/	PROPN
ejpam-4312	296	65	arpa.2022	arpa.2022	PROPN
ejpam-4312	296	66	-	-	PUNCT
ejpam-4312	296	67	0029	0029	NUM
ejpam-4312	296	68	-	-	PUNCT
ejpam-4312	296	69	sa	sa	NOUN
ejpam-4312	296	70	,	,	PUNCT
ejpam-4312	296	71	2022	2022	NUM
ejpam-4312	296	72	.	.	PUNCT
ejpam-4312	297	1	[	[	X
ejpam-4312	297	2	7	7	X
ejpam-4312	297	3	]	]	X
ejpam-4312	297	4	kizito	kizito	ADJ
ejpam-4312	297	5	m.	m.	NOUN
ejpam-4312	297	6	and	and	CCONJ
ejpam-4312	297	7	tumwiine	tumwiine	NOUN
ejpam-4312	297	8	j.	j.	PROPN
ejpam-4312	297	9	,	,	PUNCT
ejpam-4312	297	10	“	"	PUNCT
ejpam-4312	297	11	a	a	DET
ejpam-4312	297	12	mathematical	mathematical	ADJ
ejpam-4312	297	13	model	model	NOUN
ejpam-4312	297	14	of	of	ADP
ejpam-4312	297	15	treatment	treatment	NOUN
ejpam-4312	297	16	and	and	CCONJ
ejpam-4312	297	17	vaccination	vaccination	NOUN
ejpam-4312	297	18	interventions	intervention	NOUN
ejpam-4312	297	19	of	of	ADP
ejpam-4312	297	20	pneumococcal	pneumococcal	ADJ
ejpam-4312	297	21	pneumonia	pneumonia	NOUN
ejpam-4312	297	22	infection	infection	NOUN
ejpam-4312	297	23	dynamics	dynamic	NOUN
ejpam-4312	297	24	,	,	PUNCT
ejpam-4312	297	25	”	"	PUNCT
ejpam-4312	297	26	journal	journal	NOUN
ejpam-4312	297	27	of	of	ADP
ejpam-4312	297	28	applied	apply	VERB
ejpam-4312	297	29	mathematics	mathematic	NOUN
ejpam-4312	297	30	,	,	PUNCT
ejpam-4312	297	31	volume	volume	NOUN
ejpam-4312	297	32	2018	2018	NUM
ejpam-4312	297	33	,	,	PUNCT
ejpam-4312	297	34	https://doi.org/10.1155/	https://doi.org/10.1155/	PROPN
ejpam-4312	297	35	2018/2539465	2018/2539465	NUM
ejpam-4312	297	36	,	,	PUNCT
ejpam-4312	297	37	pp	pp	ADV
ejpam-4312	297	38	1	1	NUM
ejpam-4312	297	39	-	-	SYM
ejpam-4312	297	40	15	15	NUM
ejpam-4312	297	41	,	,	PUNCT
ejpam-4312	297	42	2018	2018	NUM
ejpam-4312	297	43	.	.	PUNCT
ejpam-4312	298	1	[	[	X
ejpam-4312	298	2	8	8	NUM
ejpam-4312	298	3	]	]	X
ejpam-4312	298	4	kirigia	kirigia	PROPN
ejpam-4312	298	5	c.	c.	PROPN
ejpam-4312	298	6	,	,	PUNCT
ejpam-4312	298	7	”	"	PUNCT
ejpam-4312	298	8	corona	corona	NOUN
ejpam-4312	298	9	virus	virus	NOUN
ejpam-4312	298	10	disease	disease	NOUN
ejpam-4312	298	11	among	among	ADP
ejpam-4312	298	12	pregnant	pregnant	ADJ
ejpam-4312	298	13	women	woman	NOUN
ejpam-4312	298	14	:	:	PUNCT
ejpam-4312	298	15	a	a	DET
ejpam-4312	298	16	systematic	systematic	ADJ
ejpam-4312	298	17	scoping	scoping	NOUN
ejpam-4312	298	18	review	review	NOUN
ejpam-4312	298	19	,	,	PUNCT
ejpam-4312	298	20	”	"	PUNCT
ejpam-4312	298	21	open	open	ADJ
ejpam-4312	298	22	journal	journal	NOUN
ejpam-4312	298	23	of	of	ADP
ejpam-4312	298	24	obstetrics	obstetric	NOUN
ejpam-4312	298	25	and	and	CCONJ
ejpam-4312	298	26	gynecology	gynecology	NOUN
ejpam-4312	298	27	,	,	PUNCT
ejpam-4312	298	28	vol	vol	NOUN
ejpam-4312	298	29	.	.	PROPN
ejpam-4312	298	30	10	10	NUM
ejpam-4312	298	31	,	,	PUNCT
ejpam-4312	298	32	no	no	INTJ
ejpam-4312	298	33	.	.	NOUN
ejpam-4312	298	34	5	5	NUM
ejpam-4312	298	35	,	,	PUNCT
ejpam-4312	298	36	doi:10.4236	doi:10.4236	X
ejpam-4312	298	37	/	/	SYM
ejpam-4312	298	38	ojog.2020.1050060	ojog.2020.1050060	NOUN
ejpam-4312	298	39	,	,	PUNCT
ejpam-4312	298	40	2020	2020	NUM
ejpam-4312	298	41	.	.	PUNCT
ejpam-4312	299	1	references	reference	NOUN
ejpam-4312	299	2	555	555	NUM
ejpam-4312	299	3	[	[	SYM
ejpam-4312	299	4	9	9	NUM
ejpam-4312	299	5	]	]	X
ejpam-4312	299	6	kotlar	kotlar	PROPN
ejpam-4312	299	7	b.	b.	PROPN
ejpam-4312	299	8	,	,	PUNCT
ejpam-4312	299	9	gerson	gerson	PROPN
ejpam-4312	299	10	e.	e.	PROPN
ejpam-4312	299	11	,	,	PUNCT
ejpam-4312	299	12	petrillo	petrillo	PROPN
ejpam-4312	299	13	s.	s.	PROPN
ejpam-4312	299	14	,	,	PUNCT
ejpam-4312	299	15	et	et	PROPN
ejpam-4312	299	16	al	al	PROPN
ejpam-4312	299	17	.	.	PUNCT
ejpam-4312	299	18	”	"	PUNCT
ejpam-4312	300	1	the	the	DET
ejpam-4312	300	2	impact	impact	NOUN
ejpam-4312	300	3	of	of	ADP
ejpam-4312	300	4	covid-19	covid-19	PROPN
ejpam-4312	300	5	pandemic	pandemic	ADJ
ejpam-4312	300	6	on	on	ADP
ejpam-4312	300	7	maternal	maternal	ADJ
ejpam-4312	300	8	and	and	CCONJ
ejpam-4312	300	9	perinatal	perinatal	ADJ
ejpam-4312	300	10	health	health	NOUN
ejpam-4312	300	11	:	:	PUNCT
ejpam-4312	300	12	a	a	DET
ejpam-4312	300	13	scoping	scope	VERB
ejpam-4312	300	14	review	review	NOUN
ejpam-4312	300	15	.	.	PUNCT
ejpam-4312	301	1	reproductive	reproductive	ADJ
ejpam-4312	301	2	health	health	PROPN
ejpam-4312	301	3	.	.	PUNCT
ejpam-4312	302	1	vol	vol	NOUN
ejpam-4312	302	2	.	.	PROPN
ejpam-4312	302	3	18	18	NUM
ejpam-4312	302	4	,	,	PUNCT
ejpam-4312	302	5	issue	issue	NOUN
ejpam-4312	302	6	10	10	NUM
ejpam-4312	302	7	,	,	PUNCT
ejpam-4312	302	8	https://doi.org/10.1186/s12978-021-01070-6	https://doi.org/10.1186/s12978-021-01070-6	NUM
ejpam-4312	302	9	,	,	PUNCT
ejpam-4312	302	10	2021	2021	NUM
ejpam-4312	302	11	.	.	PUNCT
ejpam-4312	303	1	[	[	X
ejpam-4312	303	2	10	10	NUM
ejpam-4312	303	3	]	]	X
ejpam-4312	303	4	kumbeni	kumbeni	ADJ
ejpam-4312	303	5	m.	m.	NOUN
ejpam-4312	303	6	t.	t.	PROPN
ejpam-4312	303	7	,	,	PUNCT
ejpam-4312	303	8	apanga	apanga	NOUN
ejpam-4312	303	9	p.	p.	NOUN
ejpam-4312	303	10	a.	a.	NOUN
ejpam-4312	303	11	,	,	PUNCT
ejpam-4312	303	12	yeboah	yeboah	PROPN
ejpam-4312	303	13	e.	e.	PROPN
ejpam-4312	303	14	o.	o.	PROPN
ejpam-4312	303	15	,	,	PUNCT
ejpam-4312	303	16	lettor	lettor	PROPN
ejpam-4312	303	17	i.	i.	PROPN
ejpam-4312	303	18	b.	b.	PROPN
ejpam-4312	303	19	k.	k.	PROPN
ejpam-4312	303	20	,	,	PUNCT
ejpam-4312	303	21	”	"	PUNCT
ejpam-4312	303	22	knowledge	knowledge	NOUN
ejpam-4312	303	23	and	and	CCONJ
ejpam-4312	303	24	preventive	preventive	ADJ
ejpam-4312	303	25	practices	practice	NOUN
ejpam-4312	303	26	towards	towards	ADP
ejpam-4312	303	27	covid-19	covid-19	PROPN
ejpam-4312	303	28	among	among	ADP
ejpam-4312	303	29	pregnant	pregnant	ADJ
ejpam-4312	303	30	women	woman	NOUN
ejpam-4312	303	31	seeking	seek	VERB
ejpam-4312	303	32	antenatal	antenatal	ADJ
ejpam-4312	303	33	services	service	NOUN
ejpam-4312	303	34	in	in	ADP
ejpam-4312	303	35	northern	northern	ADJ
ejpam-4312	303	36	ghana	ghana	PROPN
ejpam-4312	303	37	,	,	PUNCT
ejpam-4312	303	38	”	"	PUNCT
ejpam-4312	303	39	plos	plo	VERB
ejpam-4312	303	40	one	one	NUM
ejpam-4312	303	41	16(6	16(6	NUM
ejpam-4312	303	42	):	):	PUNCT
ejpam-4312	303	43	e0253446	e0253446	PROPN
ejpam-4312	303	44	.	.	PUNCT
ejpam-4312	303	45	https://doi.org/10.1371/journal.pone.0253446	https://doi.org/10.1371/journal.pone.0253446	PROPN
ejpam-4312	303	46	,	,	PUNCT
ejpam-4312	303	47	2021	2021	NUM
ejpam-4312	303	48	.	.	PUNCT
ejpam-4312	304	1	[	[	X
ejpam-4312	304	2	11	11	NUM
ejpam-4312	304	3	]	]	X
ejpam-4312	304	4	lee	lee	PROPN
ejpam-4312	304	5	r.	r.	PROPN
ejpam-4312	304	6	w.	w.	PROPN
ejpam-4312	304	7	k.	k.	PROPN
ejpam-4312	304	8	,	,	PUNCT
ejpam-4312	304	9	loy	loy	PROPN
ejpam-4312	304	10	s.	s.	PROPN
ejpam-4312	304	11	l.	l.	PROPN
ejpam-4312	304	12	,	,	PUNCT
ejpam-4312	304	13	yang	yang	PROPN
ejpam-4312	304	14	l.	l.	PROPN
ejpam-4312	304	15	,	,	PUNCT
ejpam-4312	304	16	et	et	PROPN
ejpam-4312	304	17	al	al	PROPN
ejpam-4312	304	18	.	.	PROPN
ejpam-4312	304	19	,	,	PUNCT
ejpam-4312	304	20	”	"	PUNCT
ejpam-4312	304	21	attitudes	attitude	NOUN
ejpam-4312	304	22	and	and	CCONJ
ejpam-4312	304	23	precaution	precaution	NOUN
ejpam-4312	304	24	practices	practice	NOUN
ejpam-4312	304	25	towards	towards	ADP
ejpam-4312	304	26	covid-19	covid-19	PROPN
ejpam-4312	304	27	among	among	ADP
ejpam-4312	304	28	pregnant	pregnant	ADJ
ejpam-4312	304	29	women	woman	NOUN
ejpam-4312	304	30	in	in	ADP
ejpam-4312	304	31	singapore	singapore	PROPN
ejpam-4312	304	32	:	:	PUNCT
ejpam-4312	304	33	a	a	DET
ejpam-4312	304	34	cross	cross	ADJ
ejpam-4312	304	35	-	-	ADJ
ejpam-4312	304	36	sectional	sectional	ADJ
ejpam-4312	304	37	survey	survey	NOUN
ejpam-4312	304	38	,	,	PUNCT
ejpam-4312	304	39	”	"	PUNCT
ejpam-4312	304	40	bmc	bmc	ADJ
ejpam-4312	304	41	pregnancy	pregnancy	NOUN
ejpam-4312	304	42	childbirth	childbirth	NOUN
ejpam-4312	304	43	20	20	NUM
ejpam-4312	304	44	,	,	PUNCT
ejpam-4312	304	45	675	675	NUM
ejpam-4312	304	46	,	,	PUNCT
ejpam-4312	304	47	https://doi.org/10.1186/s12884-020-03378-w	https://doi.org/10.1186/s12884-020-03378-w	NOUN
ejpam-4312	304	48	,	,	PUNCT
ejpam-4312	304	49	2020	2020	NUM
ejpam-4312	304	50	.	.	PUNCT
ejpam-4312	305	1	[	[	X
ejpam-4312	305	2	12	12	NUM
ejpam-4312	305	3	]	]	SYM
ejpam-4312	305	4	macrotrends	macrotrend	NOUN
ejpam-4312	305	5	(	(	PUNCT
ejpam-4312	305	6	2021	2021	NUM
ejpam-4312	305	7	)	)	PUNCT
ejpam-4312	305	8	.	.	PUNCT
ejpam-4312	306	1	nigeria	nigeria	PROPN
ejpam-4312	306	2	birth	birth	NOUN
ejpam-4312	306	3	rate	rate	NOUN
ejpam-4312	306	4	1950	1950	NUM
ejpam-4312	306	5	–	–	PUNCT
ejpam-4312	306	6	2022	2022	NUM
ejpam-4312	306	7	.	.	PUNCT
ejpam-4312	307	1	https://www.macrotrends.net/countries/nga/nigeria/birth-rate	https://www.macrotrends.net/countries/nga/nigeria/birth-rate	PROPN
ejpam-4312	307	2	.	.	PUNCT
ejpam-4312	308	1	accessed	access	VERB
ejpam-4312	308	2	january	january	PROPN
ejpam-4312	308	3	1st	1st	NOUN
ejpam-4312	308	4	,	,	PUNCT
ejpam-4312	308	5	2022	2022	NUM
ejpam-4312	308	6	.	.	PUNCT
ejpam-4312	309	1	[	[	X
ejpam-4312	309	2	13	13	NUM
ejpam-4312	309	3	]	]	SYM
ejpam-4312	309	4	macrotrends	macrotrend	NOUN
ejpam-4312	309	5	(	(	PUNCT
ejpam-4312	309	6	2021	2021	NUM
ejpam-4312	309	7	)	)	PUNCT
ejpam-4312	309	8	.	.	PUNCT
ejpam-4312	310	1	nigeria	nigeria	PROPN
ejpam-4312	310	2	death	death	NOUN
ejpam-4312	310	3	rate	rate	NOUN
ejpam-4312	310	4	1950	1950	NUM
ejpam-4312	310	5	–	–	PUNCT
ejpam-4312	310	6	2022	2022	NUM
ejpam-4312	310	7	.	.	PUNCT
ejpam-4312	311	1	https://www.macrotrends.net/countries/nga/nigeria/death-rate	https://www.macrotrends.net/countries/nga/nigeria/death-rate	NOUN
ejpam-4312	311	2	.	.	PUNCT
ejpam-4312	312	1	accessed	access	VERB
ejpam-4312	312	2	january	january	PROPN
ejpam-4312	312	3	1st	1st	NOUN
ejpam-4312	312	4	,	,	PUNCT
ejpam-4312	312	5	2022	2022	NUM
ejpam-4312	312	6	.	.	PUNCT
ejpam-4312	313	1	[	[	X
ejpam-4312	313	2	14	14	NUM
ejpam-4312	313	3	]	]	SYM
ejpam-4312	313	4	macrotrends	macrotrend	NOUN
ejpam-4312	313	5	(	(	PUNCT
ejpam-4312	313	6	2021	2021	NUM
ejpam-4312	313	7	)	)	PUNCT
ejpam-4312	313	8	.	.	PUNCT
ejpam-4312	314	1	nigeria	nigeria	PROPN
ejpam-4312	314	2	fertility	fertility	NOUN
ejpam-4312	314	3	rate	rate	NOUN
ejpam-4312	314	4	1950	1950	NUM
ejpam-4312	314	5	–	–	PUNCT
ejpam-4312	314	6	2021	2021	NUM
ejpam-4312	314	7	.	.	PUNCT
ejpam-4312	315	1	https://www.macrotrends.net/countries/nga/nigeria/fertility-rate	https://www.macrotrends.net/countries/nga/nigeria/fertility-rate	PROPN
ejpam-4312	315	2	.	.	PUNCT
ejpam-4312	316	1	accessed	access	VERB
ejpam-4312	316	2	january	january	PROPN
ejpam-4312	316	3	1st	1st	NOUN
ejpam-4312	316	4	,	,	PUNCT
ejpam-4312	316	5	2022	2022	NUM
ejpam-4312	316	6	.	.	PUNCT
ejpam-4312	317	1	[	[	X
ejpam-4312	317	2	15	15	NUM
ejpam-4312	317	3	]	]	X
ejpam-4312	317	4	ndairou	ndairou	PROPN
ejpam-4312	317	5	f.	f.	PROPN
ejpam-4312	317	6	,	,	PUNCT
ejpam-4312	317	7	area	area	NOUN
ejpam-4312	317	8	i.	i.	PROPN
ejpam-4312	317	9	,	,	PUNCT
ejpam-4312	317	10	nieto	nieto	PROPN
ejpam-4312	317	11	j.	j.	PROPN
ejpam-4312	317	12	and	and	CCONJ
ejpam-4312	317	13	torres	torre	VERB
ejpam-4312	317	14	d.	d.	PROPN
ejpam-4312	317	15	f.	f.	PROPN
ejpam-4312	317	16	m.	m.	PROPN
ejpam-4312	317	17	(	(	PUNCT
ejpam-4312	317	18	2020	2020	NUM
ejpam-4312	317	19	)	)	PUNCT
ejpam-4312	317	20	,	,	PUNCT
ejpam-4312	317	21	”	"	PUNCT
ejpam-4312	317	22	mathematical	mathematical	ADJ
ejpam-4312	317	23	modeling	modeling	NOUN
ejpam-4312	317	24	of	of	ADP
ejpam-4312	317	25	covid-19	covid-19	PROPN
ejpam-4312	317	26	transmission	transmission	NOUN
ejpam-4312	317	27	dynamics	dynamic	NOUN
ejpam-4312	317	28	with	with	ADP
ejpam-4312	317	29	a	a	DET
ejpam-4312	317	30	case	case	NOUN
ejpam-4312	317	31	study	study	NOUN
ejpam-4312	317	32	of	of	ADP
ejpam-4312	317	33	wuhan	wuhan	PROPN
ejpam-4312	317	34	,	,	PUNCT
ejpam-4312	317	35	”	"	PUNCT
ejpam-4312	317	36	chaos	chaos	NOUN
ejpam-4312	317	37	,	,	PUNCT
ejpam-4312	317	38	solitons	soliton	NOUN
ejpam-4312	317	39	and	and	CCONJ
ejpam-4312	317	40	fractals	fractal	NOUN
ejpam-4312	317	41	,	,	PUNCT
ejpam-4312	317	42	vol	vol	NOUN
ejpam-4312	317	43	.	.	PROPN
ejpam-4312	317	44	135	135	NUM
ejpam-4312	317	45	,	,	PUNCT
ejpam-4312	317	46	10.1016	10.1016	NUM
ejpam-4312	317	47	/	/	SYM
ejpam-4312	317	48	j.chaos.2020.109846	j.chaos.2020.109846	NOUN
ejpam-4312	317	49	,	,	PUNCT
ejpam-4312	317	50	2020	2020	NUM
ejpam-4312	317	51	.	.	PUNCT
ejpam-4312	318	1	[	[	X
ejpam-4312	318	2	16	16	NUM
ejpam-4312	318	3	]	]	X
ejpam-4312	318	4	tang	tang	PROPN
ejpam-4312	318	5	b.	b.	PROPN
ejpam-4312	318	6	,	,	PUNCT
ejpam-4312	318	7	wang	wang	PROPN
ejpam-4312	318	8	x.	x.	PROPN
ejpam-4312	318	9	,	,	PUNCT
ejpam-4312	318	10	li	li	PROPN
ejpam-4312	318	11	q.	q.	PROPN
ejpam-4312	318	12	,	,	PUNCT
ejpam-4312	318	13	bragazzi	bragazzi	PROPN
ejpam-4312	318	14	n.	n.	PROPN
ejpam-4312	318	15	l.	l.	PROPN
ejpam-4312	318	16	,	,	PUNCT
ejpam-4312	318	17	tang	tang	PROPN
ejpam-4312	318	18	s.	s.	PROPN
ejpam-4312	318	19	,	,	PUNCT
ejpam-4312	318	20	xiao	xiao	PROPN
ejpam-4312	318	21	y.	y.	PROPN
ejpam-4312	318	22	,	,	PUNCT
ejpam-4312	318	23	et	et	PROPN
ejpam-4312	318	24	al	al	PROPN
ejpam-4312	318	25	,	,	PUNCT
ejpam-4312	318	26	”	"	PUNCT
ejpam-4312	318	27	estimation	estimation	NOUN
ejpam-4312	318	28	of	of	ADP
ejpam-4312	318	29	transmission	transmission	NOUN
ejpam-4312	318	30	risk	risk	NOUN
ejpam-4312	318	31	of	of	ADP
ejpam-4312	318	32	the	the	DET
ejpam-4312	318	33	2019	2019	NUM
ejpam-4312	318	34	-	-	PUNCT
ejpam-4312	318	35	ncov	ncov	NOUN
ejpam-4312	318	36	and	and	CCONJ
ejpam-4312	318	37	its	its	PRON
ejpam-4312	318	38	implication	implication	NOUN
ejpam-4312	318	39	for	for	ADP
ejpam-4312	318	40	public	public	ADJ
ejpam-4312	318	41	health	health	NOUN
ejpam-4312	318	42	interventions	intervention	NOUN
ejpam-4312	318	43	,	,	PUNCT
ejpam-4312	318	44	”	"	PUNCT
ejpam-4312	318	45	journal	journal	NOUN
ejpam-4312	318	46	of	of	ADP
ejpam-4312	318	47	clinical	clinical	ADJ
ejpam-4312	318	48	medicine	medicine	NOUN
ejpam-4312	318	49	,	,	PUNCT
ejpam-4312	318	50	doi:10.2139	doi:10.2139	ADJ
ejpam-4312	318	51	/	/	SYM
ejpam-4312	318	52	ssrn.3525558	ssrn.3525558	ADJ
ejpam-4312	318	53	,	,	PUNCT
ejpam-4312	318	54	2020	2020	NUM
ejpam-4312	318	55	.	.	PUNCT
ejpam-4312	319	1	[	[	X
ejpam-4312	319	2	17	17	NUM
ejpam-4312	319	3	]	]	PUNCT
ejpam-4312	319	4	panahi	panahi	PROPN
ejpam-4312	319	5	l.	l.	PROPN
ejpam-4312	319	6	,	,	PUNCT
ejpam-4312	319	7	amiri	amiri	PROPN
ejpam-4312	319	8	m.	m.	PROPN
ejpam-4312	319	9	,	,	PUNCT
ejpam-4312	319	10	pouy	pouy	PROPN
ejpam-4312	319	11	s.	s.	PROPN
ejpam-4312	319	12	,	,	PUNCT
ejpam-4312	319	13	”	"	PUNCT
ejpam-4312	319	14	risks	risk	NOUN
ejpam-4312	319	15	of	of	ADP
ejpam-4312	319	16	novel	novel	ADJ
ejpam-4312	319	17	coronavirus	coronavirus	NOUN
ejpam-4312	319	18	disease	disease	NOUN
ejpam-4312	319	19	(	(	PUNCT
ejpam-4312	319	20	covid-19	covid-19	PROPN
ejpam-4312	319	21	)	)	PUNCT
ejpam-4312	319	22	in	in	ADP
ejpam-4312	319	23	pregnancy	pregnancy	NOUN
ejpam-4312	319	24	;	;	PUNCT
ejpam-4312	319	25	a	a	DET
ejpam-4312	319	26	narrative	narrative	NOUN
ejpam-4312	319	27	review	review	NOUN
ejpam-4312	319	28	,	,	PUNCT
ejpam-4312	319	29	”	"	PUNCT
ejpam-4312	319	30	archives	archive	NOUN
ejpam-4312	319	31	of	of	ADP
ejpam-4312	319	32	academic	academic	ADJ
ejpam-4312	319	33	emergency	emergency	NOUN
ejpam-4312	319	34	medicine	medicine	NOUN
ejpam-4312	319	35	,	,	PUNCT
ejpam-4312	319	36	vol	vol	NOUN
ejpam-4312	319	37	.	.	PROPN
ejpam-4312	319	38	8	8	NUM
ejpam-4312	319	39	,	,	PUNCT
ejpam-4312	319	40	doi:10.22037	doi:10.22037	PROPN
ejpam-4312	319	41	/	/	SYM
ejpam-4312	319	42	aaem.v8i1.595	aaem.v8i1.595	PROPN
ejpam-4312	319	43	,	,	PUNCT
ejpam-4312	319	44	2020	2020	NUM
ejpam-4312	319	45	.	.	PUNCT
ejpam-4312	320	1	[	[	X
ejpam-4312	320	2	18	18	NUM
ejpam-4312	320	3	]	]	X
ejpam-4312	320	4	parisa	parisa	NOUN
ejpam-4312	320	5	s.	s.	PROPN
ejpam-4312	320	6	,	,	PUNCT
ejpam-4312	320	7	zahra	zahra	PROPN
ejpam-4312	320	8	a.	a.	PROPN
ejpam-4312	320	9	,	,	PUNCT
ejpam-4312	320	10	maryam	maryam	PROPN
ejpam-4312	320	11	g.	g.	PROPN
ejpam-4312	320	12	,	,	PUNCT
ejpam-4312	320	13	roghayem	roghayem	PROPN
ejpam-4312	320	14	a.	a.	NOUN
ejpam-4312	320	15	,	,	PUNCT
ejpam-4312	320	16	”	"	PUNCT
ejpam-4312	320	17	the	the	DET
ejpam-4312	320	18	severity	severity	NOUN
ejpam-4312	320	19	of	of	ADP
ejpam-4312	320	20	covid19	covid19	NOUN
ejpam-4312	320	21	among	among	ADP
ejpam-4312	320	22	pregnant	pregnant	ADJ
ejpam-4312	320	23	women	woman	NOUN
ejpam-4312	320	24	and	and	CCONJ
ejpam-4312	320	25	the	the	DET
ejpam-4312	320	26	risk	risk	NOUN
ejpam-4312	320	27	of	of	ADP
ejpam-4312	320	28	averse	averse	ADJ
ejpam-4312	320	29	maternal	maternal	ADJ
ejpam-4312	320	30	outcomes	outcome	NOUN
ejpam-4312	320	31	,	,	PUNCT
ejpam-4312	320	32	”	"	PUNCT
ejpam-4312	320	33	international	international	ADJ
ejpam-4312	320	34	journal	journal	NOUN
ejpam-4312	320	35	of	of	ADP
ejpam-4312	320	36	gynecology	gynecology	NOUN
ejpam-4312	320	37	&	&	CCONJ
ejpam-4312	320	38	obstetrics	obstetric	NOUN
ejpam-4312	320	39	.	.	PUNCT
ejpam-4312	321	1	vol	vol	NOUN
ejpam-4312	321	2	.	.	PROPN
ejpam-4312	322	1	154	154	NUM
ejpam-4312	322	2	,	,	PUNCT
ejpam-4312	322	3	issue	issue	NOUN
ejpam-4312	322	4	1	1	NUM
ejpam-4312	322	5	,	,	PUNCT
ejpam-4312	322	6	pp	pp	ADJ
ejpam-4312	322	7	.	.	PUNCT
ejpam-4312	323	1	92	92	NUM
ejpam-4312	323	2	-	-	SYM
ejpam-4312	323	3	99	99	NUM
ejpam-4312	323	4	.	.	PUNCT
ejpam-4312	324	1	https://doi.org/10.1002/ijgo.13700	https://doi.org/10.1002/ijgo.13700	NOUN
ejpam-4312	324	2	.	.	PUNCT
ejpam-4312	324	3	2021	2021	NUM
ejpam-4312	324	4	.	.	PUNCT
ejpam-4312	325	1	[	[	X
ejpam-4312	325	2	19	19	NUM
ejpam-4312	325	3	]	]	PUNCT
ejpam-4312	325	4	van	van	PROPN
ejpam-4312	325	5	den	den	PROPN
ejpam-4312	325	6	driessche	driessche	PROPN
ejpam-4312	325	7	p.	p.	NOUN
ejpam-4312	325	8	and	and	CCONJ
ejpam-4312	325	9	watmough	watmough	PROPN
ejpam-4312	325	10	j.	j.	PROPN
ejpam-4312	325	11	,	,	PUNCT
ejpam-4312	325	12	“	"	PUNCT
ejpam-4312	325	13	reproduction	reproduction	NOUN
ejpam-4312	325	14	numbers	number	NOUN
ejpam-4312	325	15	and	and	CCONJ
ejpam-4312	325	16	sub	sub	ADJ
ejpam-4312	325	17	-	-	ADJ
ejpam-4312	325	18	threshold	threshold	ADJ
ejpam-4312	325	19	endemic	endemic	ADJ
ejpam-4312	325	20	equilibria	equilibrium	NOUN
ejpam-4312	325	21	for	for	ADP
ejpam-4312	325	22	compartmental	compartmental	ADJ
ejpam-4312	325	23	models	model	NOUN
ejpam-4312	325	24	of	of	ADP
ejpam-4312	325	25	disease	disease	NOUN
ejpam-4312	325	26	transmission	transmission	NOUN
ejpam-4312	325	27	,	,	PUNCT
ejpam-4312	325	28	”	"	PUNCT
ejpam-4312	325	29	mathematical	mathematical	ADJ
ejpam-4312	325	30	biosciences	bioscience	NOUN
ejpam-4312	325	31	,	,	PUNCT
ejpam-4312	325	32	vol	vol	NOUN
ejpam-4312	325	33	.	.	PROPN
ejpam-4312	325	34	180	180	NUM
ejpam-4312	325	35	,	,	PUNCT
ejpam-4312	325	36	pp	pp	ADJ
ejpam-4312	325	37	.	.	PUNCT
ejpam-4312	326	1	29	29	NUM
ejpam-4312	326	2	-	-	SYM
ejpam-4312	326	3	48	48	NUM
ejpam-4312	326	4	,	,	PUNCT
ejpam-4312	326	5	https://doi.org	https://doi.org	ADJ
ejpam-4312	326	6	/10.1016	/10.1016	PUNCT
ejpam-4312	326	7	/	/	SYM
ejpam-4312	326	8	s0025	s0025	PROPN
ejpam-4312	326	9	-	-	PUNCT
ejpam-4312	326	10	5564(02)00108	5564(02)00108	NUM
ejpam-4312	326	11	-	-	PUNCT
ejpam-4312	326	12	6	6	NUM
ejpam-4312	326	13	,	,	PUNCT
ejpam-4312	326	14	2002	2002	NUM
ejpam-4312	326	15	.	.	PUNCT
ejpam-4312	327	1	references	reference	NOUN
ejpam-4312	327	2	556	556	NUM
ejpam-4312	327	3	[	[	SYM
ejpam-4312	327	4	20	20	NUM
ejpam-4312	327	5	]	]	PUNCT
ejpam-4312	327	6	van	van	PROPN
ejpam-4312	327	7	eekelen	eekelen	PROPN
ejpam-4312	327	8	r.	r.	PROPN
ejpam-4312	327	9	,	,	PUNCT
ejpam-4312	327	10	tjon	tjon	NOUN
ejpam-4312	327	11	-	-	PUNCT
ejpam-4312	327	12	kon	kon	NOUN
ejpam-4312	327	13	-	-	PUNCT
ejpam-4312	327	14	fat	fat	PROPN
ejpam-4312	327	15	r.	r.	PROPN
ejpam-4312	327	16	,	,	PUNCT
ejpam-4312	327	17	bossuyt	bossuyt	NOUN
ejpam-4312	327	18	p.	p.	PROPN
ejpam-4312	327	19	m.	m.	NOUN
ejpam-4312	327	20	m.	m.	PROPN
ejpam-4312	327	21	,	,	PUNCT
ejpam-4312	327	22	van	van	PROPN
ejpam-4312	327	23	geloven	geloven	PROPN
ejpam-4312	327	24	n.	n.	PROPN
ejpam-4312	327	25	,	,	PUNCT
ejpam-4312	327	26	eijkemans	eijkeman	VERB
ejpam-4312	327	27	m.	m.	PROPN
ejpam-4312	327	28	j.	j.	PROPN
ejpam-4312	327	29	c.	c.	PROPN
ejpam-4312	327	30	,	,	PUNCT
ejpam-4312	327	31	bensdorp	bensdorp	PROPN
ejpam-4312	327	32	a.	a.	PROPN
ejpam-4312	327	33	j.	j.	PROPN
ejpam-4312	327	34	,	,	PUNCT
ejpam-4312	327	35	van	van	PROPN
ejpam-4312	327	36	der	der	PROPN
ejpam-4312	327	37	veen	veen	PROPN
ejpam-4312	327	38	f.	f.	PROPN
ejpam-4312	327	39	,	,	PUNCT
ejpam-4312	327	40	mol	mol	PROPN
ejpam-4312	327	41	b.	b.	PROPN
ejpam-4312	327	42	w.	w.	PROPN
ejpam-4312	327	43	,	,	PUNCT
ejpam-4312	327	44	van	van	PROPN
ejpam-4312	327	45	wely	wely	ADV
ejpam-4312	327	46	m.	m.	NOUN
ejpam-4312	327	47	,	,	PUNCT
ejpam-4312	327	48	“	"	PUNCT
ejpam-4312	327	49	national	national	ADJ
ejpam-4312	327	50	conception	conception	NOUN
ejpam-4312	327	51	rates	rate	NOUN
ejpam-4312	327	52	in	in	ADP
ejpam-4312	327	53	couples	couple	NOUN
ejpam-4312	327	54	with	with	ADP
ejpam-4312	327	55	unexplained	unexplained	ADJ
ejpam-4312	327	56	or	or	CCONJ
ejpam-4312	327	57	mild	mild	ADJ
ejpam-4312	327	58	male	male	NOUN
ejpam-4312	327	59	subfertility	subfertility	NOUN
ejpam-4312	327	60	scheduled	schedule	VERB
ejpam-4312	327	61	for	for	ADP
ejpam-4312	327	62	fertility	fertility	NOUN
ejpam-4312	327	63	treatment	treatment	NOUN
ejpam-4312	327	64	:	:	PUNCT
ejpam-4312	327	65	a	a	DET
ejpam-4312	327	66	secondary	secondary	ADJ
ejpam-4312	327	67	analysis	analysis	NOUN
ejpam-4312	327	68	of	of	ADP
ejpam-4312	327	69	a	a	DET
ejpam-4312	327	70	randomized	randomized	ADJ
ejpam-4312	327	71	controlled	control	VERB
ejpam-4312	327	72	trial	trial	NOUN
ejpam-4312	327	73	,	,	PUNCT
ejpam-4312	327	74	”	"	PUNCT
ejpam-4312	327	75	human	human	ADJ
ejpam-4312	327	76	reproduction	reproduction	NOUN
ejpam-4312	327	77	,	,	PUNCT
ejpam-4312	327	78	vol	vol	NOUN
ejpam-4312	327	79	.	.	PROPN
ejpam-4312	327	80	33	33	NUM
ejpam-4312	327	81	,	,	PUNCT
ejpam-4312	327	82	issue	issue	NOUN
ejpam-4312	327	83	5	5	NUM
ejpam-4312	327	84	,	,	PUNCT
ejpam-4312	327	85	https://doi.org/10.1093/humrep/dey051	https://doi.org/10.1093/humrep/dey051	ADJ
ejpam-4312	327	86	,	,	PUNCT
ejpam-4312	327	87	2018	2018	NUM
ejpam-4312	327	88	.	.	PUNCT
ejpam-4312	328	1	[	[	X
ejpam-4312	328	2	21	21	NUM
ejpam-4312	328	3	]	]	X
ejpam-4312	328	4	wendy	wendy	PROPN
ejpam-4312	328	5	,	,	PUNCT
ejpam-4312	328	6	n.	n.	PROPN
ejpam-4312	328	7	p.	p.	PROPN
ejpam-4312	328	8	,	,	PUNCT
ejpam-4312	328	9	olise	olise	ADJ
ejpam-4312	328	10	,	,	PUNCT
ejpam-4312	328	11	p.	p.	PROPN
ejpam-4312	328	12	k.	k.	PROPN
ejpam-4312	328	13	,	,	PUNCT
ejpam-4312	328	14	”	"	PUNCT
ejpam-4312	328	15	is	be	AUX
ejpam-4312	328	16	pregnancy	pregnancy	NOUN
ejpam-4312	328	17	a	a	DET
ejpam-4312	328	18	risk	risk	NOUN
ejpam-4312	328	19	factor	factor	NOUN
ejpam-4312	328	20	of	of	ADP
ejpam-4312	328	21	covid-19	covid-19	PROPN
ejpam-4312	328	22	?	?	PUNCT
ejpam-4312	328	23	”	"	PUNCT
ejpam-4312	328	24	european	european	PROPN
ejpam-4312	328	25	journal	journal	NOUN
ejpam-4312	328	26	of	of	ADP
ejpam-4312	328	27	obstetrics	obstetric	NOUN
ejpam-4312	328	28	&	&	CCONJ
ejpam-4312	328	29	gynecology	gynecology	NOUN
ejpam-4312	328	30	and	and	CCONJ
ejpam-4312	328	31	reproduction	reproduction	NOUN
ejpam-4312	328	32	biology	biology	NOUN
ejpam-4312	328	33	,	,	PUNCT
ejpam-4312	328	34	vol	vol	NOUN
ejpam-4312	328	35	.	.	PROPN
ejpam-4312	328	36	252	252	NUM
ejpam-4312	328	37	,	,	PUNCT
ejpam-4312	328	38	pp	pp	ADJ
ejpam-4312	328	39	.	.	PUNCT
ejpam-4312	329	1	605	605	NUM
ejpam-4312	329	2	–	–	PUNCT
ejpam-4312	329	3	609	609	NUM
ejpam-4312	329	4	,	,	PUNCT
ejpam-4312	329	5	doi	doi	NOUN
ejpam-4312	329	6	:	:	PUNCT
ejpam-4312	329	7	https://doi.org/10.1016	https://doi.org/10.1016	PROPN
ejpam-4312	329	8	/	/	SYM
ejpam-4312	329	9	j.ejogrb.2020.06.058	j.ejogrb.2020.06.058	VERB
ejpam-4312	329	10	,	,	PUNCT
ejpam-4312	329	11	2020	2020	NUM
ejpam-4312	329	12	.	.	PUNCT
ejpam-4312	330	1	[	[	X
ejpam-4312	330	2	22	22	NUM
ejpam-4312	330	3	]	]	X
ejpam-4312	330	4	zhou	zhou	PROPN
ejpam-4312	330	5	f.	f.	PROPN
ejpam-4312	330	6	,	,	PUNCT
ejpam-4312	330	7	yu	yu	PROPN
ejpam-4312	330	8	t.	t.	PROPN
ejpam-4312	330	9	,	,	PUNCT
ejpam-4312	330	10	du	du	PROPN
ejpam-4312	330	11	r.	r.	PROPN
ejpam-4312	330	12	,	,	PUNCT
ejpam-4312	330	13	fan	fan	PROPN
ejpam-4312	330	14	g.	g.	PROPN
ejpam-4312	330	15	,	,	PUNCT
ejpam-4312	330	16	liu	liu	PROPN
ejpam-4312	330	17	y.	y.	PROPN
ejpam-4312	330	18	,	,	PUNCT
ejpam-4312	330	19	liu	liu	PROPN
ejpam-4312	330	20	z.	z.	PROPN
ejpam-4312	330	21	,	,	PUNCT
ejpam-4312	330	22	et	et	PROPN
ejpam-4312	330	23	al	al	PROPN
ejpam-4312	330	24	.	.	PROPN
ejpam-4312	330	25	,	,	PUNCT
ejpam-4312	330	26	”	"	PUNCT
ejpam-4312	330	27	clinical	clinical	ADJ
ejpam-4312	330	28	course	course	NOUN
ejpam-4312	330	29	and	and	CCONJ
ejpam-4312	330	30	risk	risk	NOUN
ejpam-4312	330	31	factors	factor	NOUN
ejpam-4312	330	32	for	for	ADP
ejpam-4312	330	33	mortality	mortality	NOUN
ejpam-4312	330	34	of	of	ADP
ejpam-4312	330	35	adult	adult	NOUN
ejpam-4312	330	36	inpatients	inpatient	NOUN
ejpam-4312	330	37	with	with	ADP
ejpam-4312	330	38	covid-19	covid-19	PROPN
ejpam-4312	330	39	in	in	ADP
ejpam-4312	330	40	wuhan	wuhan	PROPN
ejpam-4312	330	41	,	,	PUNCT
ejpam-4312	330	42	china	china	PROPN
ejpam-4312	330	43	:	:	PUNCT
ejpam-4312	330	44	a	a	DET
ejpam-4312	330	45	retrospective	retrospective	ADJ
ejpam-4312	330	46	cohort	cohort	NOUN
ejpam-4312	330	47	study	study	NOUN
ejpam-4312	330	48	,	,	PUNCT
ejpam-4312	330	49	”	"	PUNCT
ejpam-4312	330	50	the	the	DET
ejpam-4312	330	51	lancet	lancet	PROPN
ejpam-4312	330	52	,	,	PUNCT
ejpam-4312	330	53	vol	vol	NOUN
ejpam-4312	330	54	.	.	PROPN
ejpam-4312	330	55	395	395	NUM
ejpam-4312	330	56	,	,	PUNCT
ejpam-4312	330	57	doi:10.1016	doi:10.1016	PROPN
ejpam-4312	330	58	/	/	SYM
ejpam-4312	330	59	s0140	s0140	PROPN
ejpam-4312	330	60	-	-	PUNCT
ejpam-4312	330	61	6736(20)30566	6736(20)30566	NUM
ejpam-4312	330	62	-	-	PUNCT
ejpam-4312	330	63	3	3	NUM
ejpam-4312	330	64	,	,	PUNCT
ejpam-4312	330	65	2020	2020	NUM
ejpam-4312	330	66	.	.	PUNCT
ejpam-4312	331	1	[	[	X
ejpam-4312	331	2	23	23	NUM
ejpam-4312	331	3	]	]	X
ejpam-4312	331	4	shaher	shaher	PROPN
ejpam-4312	331	5	m.	m.	NOUN
ejpam-4312	331	6	,	,	PUNCT
ejpam-4312	331	7	omar	omar	PROPN
ejpam-4312	331	8	a.	a.	PROPN
ejpam-4312	331	9	a.	a.	PROPN
ejpam-4312	331	10	,	,	PUNCT
ejpam-4312	331	11	banan	banan	NOUN
ejpam-4312	331	12	m.	m.	NOUN
ejpam-4312	331	13	,	,	PUNCT
ejpam-4312	331	14	”	"	PUNCT
ejpam-4312	331	15	piecewise	piecewise	VERB
ejpam-4312	331	16	optimal	optimal	ADJ
ejpam-4312	331	17	fractional	fractional	ADJ
ejpam-4312	331	18	reproducing	reproducing	NOUN
ejpam-4312	331	19	kernel	kernel	NOUN
ejpam-4312	331	20	solution	solution	NOUN
ejpam-4312	331	21	and	and	CCONJ
ejpam-4312	331	22	convergence	convergence	NOUN
ejpam-4312	331	23	analysis	analysis	NOUN
ejpam-4312	331	24	for	for	ADP
ejpam-4312	331	25	the	the	DET
ejpam-4312	331	26	atangana	atangana	PROPN
ejpam-4312	331	27	-	-	PUNCT
ejpam-4312	331	28	baleanu	baleanu	PROPN
ejpam-4312	331	29	-	-	PUNCT
ejpam-4312	331	30	caputo	caputo	PROPN
ejpam-4312	331	31	model	model	NOUN
ejpam-4312	331	32	of	of	ADP
ejpam-4312	331	33	the	the	DET
ejpam-4312	331	34	lienard	lienard	NOUN
ejpam-4312	331	35	’s	’s	PART
ejpam-4312	331	36	equation	equation	NOUN
ejpam-4312	331	37	”	"	PUNCT
ejpam-4312	331	38	,	,	PUNCT
ejpam-4312	331	39	fractals	fractal	NOUN
ejpam-4312	331	40	,	,	PUNCT
ejpam-4312	331	41	vol	vol	NOUN
ejpam-4312	331	42	.	.	PROPN
ejpam-4312	331	43	28	28	NUM
ejpam-4312	331	44	,	,	PUNCT
ejpam-4312	331	45	doi:10.1142	doi:10.1142	NOUN
ejpam-4312	331	46	/	/	SYM
ejpam-4312	331	47	s0218348x20400071	s0218348x20400071	NOUN
ejpam-4312	331	48	,	,	PUNCT
ejpam-4312	331	49	2020	2020	NUM
ejpam-4312	331	50	.	.	PUNCT
ejpam-4312	332	1	[	[	X
ejpam-4312	332	2	24	24	NUM
ejpam-4312	332	3	]	]	SYM
ejpam-4312	332	4	momani	momani	X
ejpam-4312	332	5	s.	s.	PROPN
ejpam-4312	332	6	,	,	PUNCT
ejpam-4312	332	7	maayah	maayah	PROPN
ejpam-4312	332	8	b.	b.	PROPN
ejpam-4312	332	9	,	,	PUNCT
ejpam-4312	332	10	and	and	CCONJ
ejpam-4312	332	11	omar	omar	PROPN
ejpam-4312	332	12	a.	a.	PROPN
ejpam-4312	332	13	a.	a.	PROPN
ejpam-4312	332	14	,	,	PUNCT
ejpam-4312	332	15	”	"	PUNCT
ejpam-4312	332	16	the	the	DET
ejpam-4312	332	17	reproducing	reproduce	VERB
ejpam-4312	332	18	kernel	kernel	NOUN
ejpam-4312	332	19	algorithm	algorithm	PROPN
ejpam-4312	332	20	for	for	ADP
ejpam-4312	332	21	numerical	numerical	ADJ
ejpam-4312	332	22	solution	solution	NOUN
ejpam-4312	332	23	of	of	ADP
ejpam-4312	332	24	van	van	PROPN
ejpam-4312	332	25	der	der	PROPN
ejpam-4312	332	26	pol	pol	NOUN
ejpam-4312	332	27	damping	damp	VERB
ejpam-4312	332	28	model	model	NOUN
ejpam-4312	332	29	in	in	ADP
ejpam-4312	332	30	view	view	NOUN
ejpam-4312	332	31	of	of	ADP
ejpam-4312	332	32	the	the	DET
ejpam-4312	332	33	atangana	atangana	PROPN
ejpam-4312	332	34	–	–	PUNCT
ejpam-4312	332	35	baleanu	baleanu	ADJ
ejpam-4312	332	36	fractional	fractional	ADJ
ejpam-4312	332	37	approach	approach	NOUN
ejpam-4312	332	38	”	"	PUNCT
ejpam-4312	332	39	,	,	PUNCT
ejpam-4312	332	40	fractals	fractal	NOUN
ejpam-4312	332	41	,	,	PUNCT
ejpam-4312	332	42	vol	vol	NOUN
ejpam-4312	332	43	.	.	PROPN
ejpam-4312	332	44	28	28	NUM
ejpam-4312	332	45	,	,	PUNCT
ejpam-4312	332	46	no	no	INTJ
ejpam-4312	332	47	.	.	NOUN
ejpam-4312	332	48	08	08	NUM
ejpam-4312	332	49	,	,	PUNCT
ejpam-4312	332	50	https://doi.org/10.1142/s0218348x20400101	https://doi.org/10.1142/s0218348x20400101	NUM
ejpam-4312	332	51	,	,	PUNCT
ejpam-4312	332	52	2020	2020	NUM
ejpam-4312	332	53	.	.	PUNCT
ejpam-4312	333	1	[	[	X
ejpam-4312	333	2	25	25	NUM
ejpam-4312	333	3	]	]	X
ejpam-4312	333	4	omar	omar	PROPN
ejpam-4312	333	5	a.	a.	PROPN
ejpam-4312	333	6	a.	a.	PROPN
ejpam-4312	333	7	,	,	PUNCT
ejpam-4312	333	8	”	"	PUNCT
ejpam-4312	333	9	computational	computational	ADJ
ejpam-4312	333	10	algorithm	algorithm	NOUN
ejpam-4312	333	11	for	for	ADP
ejpam-4312	333	12	solving	solve	VERB
ejpam-4312	333	13	singular	singular	ADJ
ejpam-4312	333	14	fredholm	fredholm	NOUN
ejpam-4312	333	15	time	time	NOUN
ejpam-4312	333	16	-	-	PUNCT
ejpam-4312	333	17	fractional	fractional	ADJ
ejpam-4312	333	18	partial	partial	ADJ
ejpam-4312	333	19	integrodifferential	integrodifferential	ADJ
ejpam-4312	333	20	equations	equation	NOUN
ejpam-4312	333	21	with	with	ADP
ejpam-4312	333	22	error	error	NOUN
ejpam-4312	333	23	estimates	estimate	NOUN
ejpam-4312	333	24	,	,	PUNCT
ejpam-4312	333	25	”	"	PUNCT
ejpam-4312	333	26	journal	journal	NOUN
ejpam-4312	333	27	of	of	ADP
ejpam-4312	333	28	applied	apply	VERB
ejpam-4312	333	29	mathematics	mathematic	NOUN
ejpam-4312	333	30	and	and	CCONJ
ejpam-4312	333	31	computing	computing	NOUN
ejpam-4312	333	32	,	,	PUNCT
ejpam-4312	333	33	vol	vol	NOUN
ejpam-4312	333	34	.	.	PROPN
ejpam-4312	333	35	59	59	NUM
ejpam-4312	333	36	,	,	PUNCT
ejpam-4312	333	37	doi:10.1007	doi:10.1007	NOUN
ejpam-4312	333	38	/	/	SYM
ejpam-4312	333	39	s12190	s12190	NOUN
ejpam-4312	333	40	-	-	PUNCT
ejpam-4312	333	41	018	018	NUM
ejpam-4312	333	42	-	-	PUNCT
ejpam-4312	333	43	1176	1176	NUM
ejpam-4312	333	44	-	-	PUNCT
ejpam-4312	333	45	x	x	NOUN
ejpam-4312	333	46	,	,	PUNCT
ejpam-4312	333	47	2019	2019	NUM
ejpam-4312	333	48	.	.	PUNCT
ejpam-4312	334	1	[	[	X
ejpam-4312	334	2	26	26	NUM
ejpam-4312	334	3	]	]	X
ejpam-4312	334	4	omar	omar	PROPN
ejpam-4312	334	5	a.	a.	PROPN
ejpam-4312	334	6	a.	a.	PROPN
ejpam-4312	334	7	,	,	PUNCT
ejpam-4312	334	8	hasan	hasan	PROPN
ejpam-4312	334	9	r.	r.	PROPN
ejpam-4312	334	10	,	,	PUNCT
ejpam-4312	334	11	”	"	PUNCT
ejpam-4312	334	12	the	the	DET
ejpam-4312	334	13	rkhs	rkh	NOUN
ejpam-4312	334	14	method	method	NOUN
ejpam-4312	334	15	for	for	ADP
ejpam-4312	334	16	numerical	numerical	ADJ
ejpam-4312	334	17	treatment	treatment	NOUN
ejpam-4312	334	18	for	for	ADP
ejpam-4312	334	19	integrodifferential	integrodifferential	ADJ
ejpam-4312	334	20	algebraic	algebraic	ADJ
ejpam-4312	334	21	systems	system	NOUN
ejpam-4312	334	22	of	of	ADP
ejpam-4312	334	23	temporal	temporal	ADJ
ejpam-4312	334	24	two	two	NUM
ejpam-4312	334	25	-	-	PUNCT
ejpam-4312	334	26	point	point	NOUN
ejpam-4312	334	27	bvps	bvps	NOUN
ejpam-4312	334	28	,	,	PUNCT
ejpam-4312	334	29	”	"	PUNCT
ejpam-4312	334	30	neural	neural	ADJ
ejpam-4312	334	31	computing	computing	NOUN
ejpam-4312	334	32	and	and	CCONJ
ejpam-4312	334	33	applications	application	NOUN
ejpam-4312	334	34	,	,	PUNCT
ejpam-4312	334	35	vol	vol	NOUN
ejpam-4312	334	36	30	30	NUM
ejpam-4312	334	37	,	,	PUNCT
ejpam-4312	334	38	doi:10.1007	doi:10.1007	NOUN
ejpam-4312	334	39	/	/	SYM
ejpam-4312	334	40	s00521	s00521	NOUN
ejpam-4312	334	41	-	-	PUNCT
ejpam-4312	334	42	017	017	NUM
ejpam-4312	334	43	-	-	PUNCT
ejpam-4312	334	44	2845	2845	NUM
ejpam-4312	334	45	-	-	SYM
ejpam-4312	334	46	7	7	NUM
ejpam-4312	334	47	,	,	PUNCT
ejpam-4312	334	48	2018	2018	NUM
ejpam-4312	334	49	.	.	PUNCT
