id	sid	tid	token	lemma	pos
ma-216	1	1	2024	2024	NUM
ma-216	1	2	ada	ada	PROPN
ma-216	1	3	academica	academica	PROPN
ma-216	1	4	https://adac.eeeur	https://adac.eeeur	PROPN
ma-216	1	5	.	.	PUNCT
ma-216	2	1	j.	j.	PROPN
ma-216	2	2	math	math	PROPN
ma-216	2	3	.	.	PUNCT
ma-216	3	1	anal	anal	ADJ
ma-216	3	2	.	.	PUNCT
ma-216	4	1	4	4	NUM
ma-216	4	2	(	(	PUNCT
ma-216	4	3	2024	2024	NUM
ma-216	4	4	)	)	PUNCT
ma-216	5	1	7doi	7doi	NOUN
ma-216	5	2	:	:	PUNCT
ma-216	5	3	10.28924	10.28924	NUM
ma-216	5	4	/	/	SYM
ma-216	5	5	ada	ada	PROPN
ma-216	5	6	/	/	SYM
ma-216	5	7	ma.4.7	ma.4.7	PROPN
ma-216	5	8	modeling	model	VERB
ma-216	5	9	the	the	DET
ma-216	5	10	inflow	inflow	NOUN
ma-216	5	11	of	of	ADP
ma-216	5	12	exposed	expose	VERB
ma-216	5	13	and	and	CCONJ
ma-216	5	14	infected	infected	ADJ
ma-216	5	15	migrants	migrant	NOUN
ma-216	5	16	on	on	ADP
ma-216	5	17	the	the	DET
ma-216	5	18	dynamics	dynamic	NOUN
ma-216	5	19	of	of	ADP
ma-216	5	20	malaria	malaria	PROPN
ma-216	5	21	musah	musah	PROPN
ma-216	5	22	konlan	konlan	PROPN
ma-216	5	23	department	department	PROPN
ma-216	5	24	of	of	ADP
ma-216	5	25	mathematics	mathematics	PROPN
ma-216	5	26	and	and	CCONJ
ma-216	5	27	statistics	statistic	NOUN
ma-216	5	28	,	,	PUNCT
ma-216	5	29	university	university	NOUN
ma-216	5	30	of	of	ADP
ma-216	5	31	energy	energy	NOUN
ma-216	5	32	and	and	CCONJ
ma-216	5	33	natural	natural	ADJ
ma-216	5	34	resources	resource	NOUN
ma-216	5	35	,	,	PUNCT
ma-216	5	36	sunyani	sunyani	PROPN
ma-216	5	37	,	,	PUNCT
ma-216	5	38	ghana	ghana	PROPN
ma-216	5	39	correspondence	correspondence	NOUN
ma-216	5	40	:	:	PUNCT
ma-216	5	41	musah.konlan@uenr.edu.gh	musah.konlan@uenr.edu.gh	ADJ
ma-216	5	42	abstract	abstract	NOUN
ma-216	5	43	.	.	PUNCT
ma-216	6	1	malaria	malaria	NOUN
ma-216	6	2	is	be	AUX
ma-216	6	3	currently	currently	ADV
ma-216	6	4	a	a	DET
ma-216	6	5	life	life	NOUN
ma-216	6	6	-	-	PUNCT
ma-216	6	7	threatening	threaten	VERB
ma-216	6	8	vector	vector	NOUN
ma-216	6	9	borne	borne	NOUN
ma-216	6	10	disease	disease	NOUN
ma-216	6	11	which	which	PRON
ma-216	6	12	is	be	AUX
ma-216	6	13	endemic	endemic	ADJ
ma-216	6	14	in	in	ADP
ma-216	6	15	mostof	mostof	NOUN
ma-216	6	16	the	the	DET
ma-216	6	17	developing	develop	VERB
ma-216	6	18	and	and	CCONJ
ma-216	6	19	underdeveloped	underdeveloped	ADJ
ma-216	6	20	countries	country	NOUN
ma-216	6	21	associated	associate	VERB
ma-216	6	22	with	with	ADP
ma-216	6	23	poor	poor	ADJ
ma-216	6	24	health	health	NOUN
ma-216	6	25	care	care	NOUN
ma-216	6	26	systems	system	NOUN
ma-216	6	27	.	.	PUNCT
ma-216	7	1	in	in	ADP
ma-216	7	2	thisstudy	thisstudy	NOUN
ma-216	7	3	,	,	PUNCT
ma-216	7	4	a	a	DET
ma-216	7	5	host	host	NOUN
ma-216	7	6	-	-	PUNCT
ma-216	7	7	vector	vector	NOUN
ma-216	7	8	mathematical	mathematical	ADJ
ma-216	7	9	model	model	NOUN
ma-216	7	10	that	that	PRON
ma-216	7	11	takes	take	VERB
ma-216	7	12	into	into	ADP
ma-216	7	13	account	account	NOUN
ma-216	7	14	the	the	DET
ma-216	7	15	inflow	inflow	NOUN
ma-216	7	16	of	of	ADP
ma-216	7	17	human	human	ADJ
ma-216	7	18	migrants	migrant	NOUN
ma-216	7	19	whohave	whohave	NOUN
ma-216	7	20	been	be	AUX
ma-216	7	21	exposed	expose	VERB
ma-216	7	22	or	or	CCONJ
ma-216	7	23	infected	infect	VERB
ma-216	7	24	with	with	ADP
ma-216	7	25	malaria	malaria	NOUN
ma-216	7	26	is	be	AUX
ma-216	7	27	formulated	formulate	VERB
ma-216	7	28	and	and	CCONJ
ma-216	7	29	analysed	analyse	VERB
ma-216	7	30	.	.	PUNCT
ma-216	8	1	the	the	DET
ma-216	8	2	reproduction	reproduction	NOUN
ma-216	8	3	numberof	numberof	VERB
ma-216	8	4	the	the	DET
ma-216	8	5	mosquito	mosquito	ADJ
ma-216	8	6	vector	vector	NOUN
ma-216	8	7	population	population	NOUN
ma-216	8	8	is	be	AUX
ma-216	8	9	derived	derive	VERB
ma-216	8	10	and	and	CCONJ
ma-216	8	11	used	use	VERB
ma-216	8	12	as	as	ADP
ma-216	8	13	a	a	DET
ma-216	8	14	threshold	threshold	NOUN
ma-216	8	15	quantity	quantity	NOUN
ma-216	8	16	for	for	ADP
ma-216	8	17	determining	determine	VERB
ma-216	8	18	theexistence	theexistence	NOUN
ma-216	8	19	of	of	ADP
ma-216	8	20	the	the	DET
ma-216	8	21	model	model	NOUN
ma-216	8	22	trivial	trivial	ADJ
ma-216	8	23	and	and	CCONJ
ma-216	8	24	realistic	realistic	ADJ
ma-216	8	25	steady	steady	ADJ
ma-216	8	26	states	state	NOUN
ma-216	8	27	.	.	PUNCT
ma-216	9	1	the	the	DET
ma-216	9	2	routh	routh	PROPN
ma-216	9	3	-	-	PUNCT
ma-216	9	4	hurwitz	hurwitz	PROPN
ma-216	9	5	criterion	criterion	NOUN
ma-216	9	6	and	and	CCONJ
ma-216	9	7	somestability	somestability	NOUN
ma-216	9	8	theorems	theorem	NOUN
ma-216	9	9	of	of	ADP
ma-216	9	10	metzler	metzler	NOUN
ma-216	9	11	matrices	matrix	NOUN
ma-216	9	12	are	be	AUX
ma-216	9	13	used	use	VERB
ma-216	9	14	to	to	PART
ma-216	9	15	show	show	VERB
ma-216	9	16	that	that	SCONJ
ma-216	9	17	the	the	DET
ma-216	9	18	realistic	realistic	ADJ
ma-216	9	19	disease	disease	NOUN
ma-216	9	20	free	free	ADJ
ma-216	9	21	equilibriumis	equilibriumis	PROPN
ma-216	9	22	both	both	CCONJ
ma-216	9	23	locally	locally	ADV
ma-216	9	24	and	and	CCONJ
ma-216	9	25	globally	globally	ADV
ma-216	9	26	asymptotically	asymptotically	ADV
ma-216	9	27	stable	stable	ADJ
ma-216	9	28	whenever	whenever	SCONJ
ma-216	9	29	the	the	DET
ma-216	9	30	disease	disease	NOUN
ma-216	9	31	reproductive	reproductive	ADJ
ma-216	9	32	number	number	NOUN
ma-216	9	33	is	be	AUX
ma-216	9	34	lessthan	lessthan	NOUN
ma-216	9	35	one	one	NUM
ma-216	9	36	.	.	PUNCT
ma-216	10	1	we	we	PRON
ma-216	10	2	derived	derive	VERB
ma-216	10	3	an	an	DET
ma-216	10	4	equation	equation	NOUN
ma-216	10	5	for	for	ADP
ma-216	10	6	the	the	DET
ma-216	10	7	model	model	NOUN
ma-216	10	8	endemic	endemic	ADJ
ma-216	10	9	condition	condition	NOUN
ma-216	10	10	and	and	CCONJ
ma-216	10	11	used	use	VERB
ma-216	10	12	descartes	descartes	PROPN
ma-216	10	13	rule	rule	NOUN
ma-216	10	14	of	of	ADP
ma-216	10	15	signchange	signchange	NOUN
ma-216	10	16	to	to	PART
ma-216	10	17	established	establish	VERB
ma-216	10	18	the	the	DET
ma-216	10	19	conditions	condition	NOUN
ma-216	10	20	for	for	SCONJ
ma-216	10	21	the	the	DET
ma-216	10	22	model	model	NOUN
ma-216	10	23	to	to	PART
ma-216	10	24	admit	admit	VERB
ma-216	10	25	one	one	NUM
ma-216	10	26	or	or	CCONJ
ma-216	10	27	three	three	NUM
ma-216	10	28	endemic	endemic	ADJ
ma-216	10	29	equilibrium	equilibrium	NOUN
ma-216	10	30	state(s).it	state(s).it	NUM
ma-216	10	31	is	be	AUX
ma-216	10	32	further	far	ADV
ma-216	10	33	shown	show	VERB
ma-216	10	34	that	that	SCONJ
ma-216	10	35	in	in	ADP
ma-216	10	36	the	the	DET
ma-216	10	37	absence	absence	NOUN
ma-216	10	38	of	of	ADP
ma-216	10	39	inflow	inflow	NOUN
ma-216	10	40	of	of	ADP
ma-216	10	41	exposed	expose	VERB
ma-216	10	42	or	or	CCONJ
ma-216	10	43	infected	infected	ADJ
ma-216	10	44	migrants	migrant	NOUN
ma-216	10	45	,	,	PUNCT
ma-216	10	46	the	the	DET
ma-216	10	47	model	model	NOUN
ma-216	10	48	admits	admit	VERB
ma-216	10	49	aglobally	aglobally	ADV
ma-216	10	50	asymptotically	asymptotically	ADV
ma-216	10	51	unique	unique	ADJ
ma-216	10	52	endemic	endemic	ADJ
ma-216	10	53	equilibrium	equilibrium	NOUN
ma-216	10	54	when	when	SCONJ
ma-216	10	55	r0	r0	NOUN
ma-216	10	56	>	>	X
ma-216	10	57	1	1	NUM
ma-216	10	58	and	and	CCONJ
ma-216	10	59	two	two	NUM
ma-216	10	60	endemic	endemic	ADJ
ma-216	10	61	equilibria	equilibrium	NOUN
ma-216	10	62	when	when	SCONJ
ma-216	10	63	r0	r0	VERB
ma-216	10	64	<	<	X
ma-216	10	65	1	1	NUM
ma-216	10	66	.	.	PUNCT
ma-216	11	1	our	our	PRON
ma-216	11	2	local	local	ADJ
ma-216	11	3	sensitivity	sensitivity	NOUN
ma-216	11	4	analysis	analysis	NOUN
ma-216	11	5	revealed	reveal	VERB
ma-216	11	6	that	that	SCONJ
ma-216	11	7	the	the	DET
ma-216	11	8	adults	adult	NOUN
ma-216	11	9	mosquito	mosquito	ADJ
ma-216	11	10	removal	removal	NOUN
ma-216	11	11	and	and	CCONJ
ma-216	11	12	biting	bite	VERB
ma-216	11	13	rateswere	rateswere	ADV
ma-216	11	14	respectively	respectively	ADV
ma-216	11	15	the	the	DET
ma-216	11	16	most	most	ADV
ma-216	11	17	significant	significant	ADJ
ma-216	11	18	contributing	contribute	VERB
ma-216	11	19	parameters	parameter	NOUN
ma-216	11	20	to	to	ADP
ma-216	11	21	the	the	DET
ma-216	11	22	spread	spread	NOUN
ma-216	11	23	of	of	ADP
ma-216	11	24	malaria	malaria	NOUN
ma-216	11	25	.	.	PUNCT
ma-216	12	1	the	the	DET
ma-216	12	2	numericalsimulations	numericalsimulation	NOUN
ma-216	12	3	results	result	NOUN
ma-216	12	4	suggested	suggest	VERB
ma-216	12	5	that	that	SCONJ
ma-216	12	6	the	the	DET
ma-216	12	7	exposed	expose	VERB
ma-216	12	8	and	and	CCONJ
ma-216	12	9	infected	infected	ADJ
ma-216	12	10	immigrants	immigrant	NOUN
ma-216	12	11	have	have	VERB
ma-216	12	12	no	no	DET
ma-216	12	13	significant	significant	ADJ
ma-216	12	14	impact	impact	NOUN
ma-216	12	15	onthe	onthe	NOUN
ma-216	12	16	dynamical	dynamical	ADJ
ma-216	12	17	behaviour	behaviour	NOUN
ma-216	12	18	of	of	ADP
ma-216	12	19	the	the	DET
ma-216	12	20	model	model	NOUN
ma-216	12	21	population	population	NOUN
ma-216	12	22	sub	sub	NOUN
ma-216	12	23	-	-	NOUN
ma-216	12	24	classes	class	NOUN
ma-216	12	25	.	.	PUNCT
ma-216	13	1	1	1	X
ma-216	13	2	.	.	X
ma-216	13	3	introduction	introduction	NOUN
ma-216	13	4	malaria	malaria	NOUN
ma-216	13	5	is	be	AUX
ma-216	13	6	currently	currently	ADV
ma-216	13	7	a	a	DET
ma-216	13	8	life	life	NOUN
ma-216	13	9	-	-	PUNCT
ma-216	13	10	threatening	threaten	VERB
ma-216	13	11	vector	vector	NOUN
ma-216	13	12	borne	borne	NOUN
ma-216	13	13	disease	disease	NOUN
ma-216	13	14	which	which	PRON
ma-216	13	15	is	be	AUX
ma-216	13	16	endemic	endemic	ADJ
ma-216	13	17	in	in	ADP
ma-216	13	18	most	most	ADJ
ma-216	13	19	of	of	ADP
ma-216	13	20	thedeveloping	thedevelope	VERB
ma-216	13	21	and	and	CCONJ
ma-216	13	22	underdeveloped	underdeveloped	ADJ
ma-216	13	23	countries	country	NOUN
ma-216	13	24	associated	associate	VERB
ma-216	13	25	with	with	ADP
ma-216	13	26	challenging	challenge	VERB
ma-216	13	27	health	health	NOUN
ma-216	13	28	care	care	NOUN
ma-216	13	29	systems	system	NOUN
ma-216	13	30	.	.	PUNCT
ma-216	14	1	moreparticularly	moreparticularly	ADV
ma-216	14	2	,	,	PUNCT
ma-216	14	3	malaria	malaria	NOUN
ma-216	14	4	is	be	AUX
ma-216	14	5	highly	highly	ADV
ma-216	14	6	endemic	endemic	ADJ
ma-216	14	7	in	in	ADP
ma-216	14	8	sub	sub	ADJ
ma-216	14	9	-	-	ADJ
ma-216	14	10	saharan	saharan	ADJ
ma-216	14	11	africa	africa	PROPN
ma-216	14	12	characterized	characterize	VERB
ma-216	14	13	with	with	ADP
ma-216	14	14	poor	poor	ADJ
ma-216	14	15	hygienicconditions	hygieniccondition	NOUN
ma-216	14	16	which	which	PRON
ma-216	14	17	serve	serve	VERB
ma-216	14	18	as	as	ADP
ma-216	14	19	suitable	suitable	ADJ
ma-216	14	20	breeding	breeding	NOUN
ma-216	14	21	site	site	NOUN
ma-216	14	22	for	for	ADP
ma-216	14	23	malaria	malaria	NOUN
ma-216	14	24	vectors	vector	NOUN
ma-216	14	25	[	[	X
ma-216	14	26	1	1	NUM
ma-216	14	27	]	]	PUNCT
ma-216	14	28	.	.	PUNCT
ma-216	15	1	plasmodium	plasmodium	NOUN
ma-216	15	2	parasites	parasite	NOUN
ma-216	15	3	andfemale	andfemale	NOUN
ma-216	15	4	anopheles	anophele	NOUN
ma-216	15	5	mosquitoes	mosquito	NOUN
ma-216	15	6	are	be	AUX
ma-216	15	7	respectively	respectively	ADV
ma-216	15	8	the	the	DET
ma-216	15	9	causal	causal	ADJ
ma-216	15	10	agent	agent	NOUN
ma-216	15	11	and	and	CCONJ
ma-216	15	12	transmitting	transmit	VERB
ma-216	15	13	vectors	vector	NOUN
ma-216	15	14	of	of	ADP
ma-216	15	15	malaria.among	malaria.among	NOUN
ma-216	15	16	the	the	DET
ma-216	15	17	most	most	ADV
ma-216	15	18	vulnerable	vulnerable	ADJ
ma-216	15	19	groups	group	NOUN
ma-216	15	20	to	to	ADP
ma-216	15	21	malaria	malaria	NOUN
ma-216	15	22	are	be	AUX
ma-216	15	23	expectant	expectant	ADJ
ma-216	15	24	mothers	mother	NOUN
ma-216	15	25	and	and	CCONJ
ma-216	15	26	infants	infant	NOUN
ma-216	15	27	under	under	ADP
ma-216	15	28	five	five	NUM
ma-216	15	29	yearsof	yearsof	NOUN
ma-216	15	30	age	age	NOUN
ma-216	16	1	[	[	X
ma-216	16	2	1–3	1–3	NOUN
ma-216	16	3	]	]	X
ma-216	16	4	.	.	PUNCT
ma-216	17	1	common	common	ADJ
ma-216	17	2	symptoms	symptom	NOUN
ma-216	17	3	of	of	ADP
ma-216	17	4	malaria	malaria	NOUN
ma-216	17	5	include	include	VERB
ma-216	17	6	:	:	PUNCT
ma-216	17	7	fever	fever	NOUN
ma-216	17	8	,	,	PUNCT
ma-216	17	9	chills	chill	NOUN
ma-216	17	10	,	,	PUNCT
ma-216	17	11	headache	headache	NOUN
ma-216	17	12	,	,	PUNCT
ma-216	17	13	pain	pain	NOUN
ma-216	17	14	,	,	PUNCT
ma-216	17	15	anaemia	anaemia	NOUN
ma-216	17	16	andvomiting	andvomite	VERB
ma-216	17	17	[	[	X
ma-216	17	18	1,4	1,4	NUM
ma-216	17	19	]	]	PUNCT
ma-216	17	20	.	.	PUNCT
ma-216	18	1	the	the	DET
ma-216	18	2	world	world	PROPN
ma-216	18	3	health	health	PROPN
ma-216	18	4	organization	organization	NOUN
ma-216	18	5	(	(	PUNCT
ma-216	18	6	who	who	PRON
ma-216	18	7	)	)	PUNCT
ma-216	18	8	reported	report	VERB
ma-216	18	9	that	that	SCONJ
ma-216	18	10	in	in	ADP
ma-216	18	11	2022	2022	NUM
ma-216	18	12	alone	alone	ADV
ma-216	18	13	,	,	PUNCT
ma-216	18	14	there	there	PRON
ma-216	18	15	were	be	VERB
ma-216	18	16	twohundred	twohundre	VERB
ma-216	18	17	and	and	CCONJ
ma-216	18	18	forty	forty	NUM
ma-216	18	19	nine	nine	NUM
ma-216	18	20	million	million	NUM
ma-216	18	21	malaria	malaria	NOUN
ma-216	18	22	cases	case	NOUN
ma-216	18	23	recorded	record	VERB
ma-216	18	24	globally	globally	ADV
ma-216	18	25	.	.	PUNCT
ma-216	19	1	ninety	ninety	NUM
ma-216	19	2	four	four	NUM
ma-216	19	3	percent	percent	NOUN
ma-216	19	4	of	of	ADP
ma-216	19	5	theses	thesis	NOUN
ma-216	19	6	cases	case	NOUN
ma-216	19	7	received	receive	VERB
ma-216	19	8	:	:	PUNCT
ma-216	19	9	10	10	NUM
ma-216	19	10	jan	jan	PROPN
ma-216	19	11	2024	2024	NUM
ma-216	19	12	.	.	PUNCT
ma-216	20	1	key	key	ADJ
ma-216	20	2	words	word	NOUN
ma-216	20	3	and	and	CCONJ
ma-216	20	4	phrases	phrase	NOUN
ma-216	20	5	.	.	PUNCT
ma-216	21	1	malaria	malaria	NOUN
ma-216	21	2	;	;	PUNCT
ma-216	21	3	immigrants	immigrant	NOUN
ma-216	21	4	;	;	PUNCT
ma-216	21	5	equilibrium	equilibrium	NOUN
ma-216	21	6	states	state	NOUN
ma-216	21	7	;	;	PUNCT
ma-216	21	8	stability	stability	NOUN
ma-216	21	9	analysis	analysis	NOUN
ma-216	21	10	;	;	PUNCT
ma-216	21	11	local	local	ADJ
ma-216	21	12	sensitivity	sensitivity	NOUN
ma-216	21	13	analysis	analysis	NOUN
ma-216	21	14	;	;	PUNCT
ma-216	21	15	nu	nu	ADJ
ma-216	21	16	-	-	ADJ
ma-216	21	17	merical	merical	ADJ
ma-216	21	18	simulations	simulation	NOUN
ma-216	21	19	.	.	PUNCT
ma-216	22	1	1	1	NUM
ma-216	22	2	https://adac.ee	https://adac.ee	PROPN
ma-216	22	3	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	22	4	eur	eur	PROPN
ma-216	22	5	.	.	PUNCT
ma-216	23	1	j.	j.	PROPN
ma-216	23	2	math	math	PROPN
ma-216	23	3	.	.	PUNCT
ma-216	24	1	anal	anal	PROPN
ma-216	24	2	.	.	PUNCT
ma-216	25	1	10.28924	10.28924	NUM
ma-216	25	2	/	/	SYM
ma-216	25	3	ada	ada	PROPN
ma-216	25	4	/	/	SYM
ma-216	25	5	ma.4.7	ma.4.7	PROPN
ma-216	25	6	2were	2were	NUM
ma-216	25	7	recorded	record	VERB
ma-216	25	8	in	in	ADP
ma-216	25	9	africa	africa	PROPN
ma-216	25	10	.	.	PUNCT
ma-216	26	1	for	for	ADP
ma-216	26	2	example	example	NOUN
ma-216	26	3	,	,	PUNCT
ma-216	26	4	ghana	ghana	PROPN
ma-216	26	5	recorded	record	VERB
ma-216	26	6	within	within	ADP
ma-216	26	7	the	the	DET
ma-216	26	8	same	same	ADJ
ma-216	26	9	period	period	NOUN
ma-216	26	10	five	five	NUM
ma-216	26	11	million	million	NUM
ma-216	26	12	threehundred	threehundre	VERB
ma-216	26	13	and	and	CCONJ
ma-216	26	14	fifteen	fifteen	NUM
ma-216	26	15	thousand	thousand	NUM
ma-216	26	16	five	five	NUM
ma-216	26	17	hundred	hundred	NUM
ma-216	26	18	and	and	CCONJ
ma-216	26	19	ninety	ninety	NUM
ma-216	26	20	three	three	NUM
ma-216	26	21	(	(	PUNCT
ma-216	26	22	5315593	5315593	NUM
ma-216	26	23	)	)	PUNCT
ma-216	26	24	and	and	CCONJ
ma-216	26	25	eleven	eleven	NUM
ma-216	26	26	thousand	thousand	NUM
ma-216	26	27	fivehundred	fivehundred	ADJ
ma-216	26	28	and	and	CCONJ
ma-216	26	29	fifty	fifty	NUM
ma-216	26	30	seven	seven	NUM
ma-216	26	31	(	(	PUNCT
ma-216	26	32	11557	11557	NUM
ma-216	26	33	)	)	PUNCT
ma-216	26	34	estimated	estimate	VERB
ma-216	26	35	malaria	malaria	NOUN
ma-216	26	36	cases	case	NOUN
ma-216	26	37	and	and	CCONJ
ma-216	26	38	deaths	death	NOUN
ma-216	26	39	respectively	respectively	ADV
ma-216	26	40	[	[	X
ma-216	26	41	3	3	NUM
ma-216	26	42	]	]	PUNCT
ma-216	26	43	.	.	PUNCT
ma-216	27	1	currently	currently	ADV
ma-216	27	2	,	,	PUNCT
ma-216	27	3	population	population	NOUN
ma-216	27	4	migration	migration	NOUN
ma-216	27	5	caused	cause	VERB
ma-216	27	6	by	by	ADP
ma-216	27	7	climate	climate	NOUN
ma-216	27	8	change	change	NOUN
ma-216	27	9	induced	induce	VERB
ma-216	27	10	factors	factor	NOUN
ma-216	27	11	and	and	CCONJ
ma-216	27	12	conflicts	conflict	NOUN
ma-216	27	13	constitute	constitute	VERB
ma-216	27	14	a	a	DET
ma-216	27	15	majorthreat	majorthreat	NOUN
ma-216	27	16	to	to	ADP
ma-216	27	17	the	the	DET
ma-216	27	18	malaria	malaria	NOUN
ma-216	27	19	control	control	NOUN
ma-216	27	20	programs.mathematical	programs.mathematical	ADJ
ma-216	27	21	modeling	modeling	NOUN
ma-216	27	22	has	have	AUX
ma-216	27	23	become	become	VERB
ma-216	27	24	a	a	DET
ma-216	27	25	significant	significant	ADJ
ma-216	27	26	tool	tool	NOUN
ma-216	27	27	box	box	NOUN
ma-216	27	28	for	for	ADP
ma-216	27	29	understanding	understand	VERB
ma-216	27	30	disease	disease	NOUN
ma-216	27	31	transmissiondynamics	transmissiondynamic	NOUN
ma-216	27	32	and	and	CCONJ
ma-216	27	33	evaluating	evaluate	VERB
ma-216	27	34	the	the	DET
ma-216	27	35	effectiveness	effectiveness	NOUN
ma-216	27	36	of	of	ADP
ma-216	27	37	disease	disease	NOUN
ma-216	27	38	control	control	NOUN
ma-216	27	39	strategies	strategy	NOUN
ma-216	27	40	[	[	X
ma-216	27	41	5	5	NUM
ma-216	27	42	]	]	PUNCT
ma-216	27	43	.	.	PUNCT
ma-216	28	1	these	these	DET
ma-216	28	2	models	model	NOUN
ma-216	28	3	gener	gener	NOUN
ma-216	28	4	-	-	PUNCT
ma-216	28	5	ally	ally	NOUN
ma-216	28	6	explain	explain	VERB
ma-216	28	7	the	the	DET
ma-216	28	8	dynamics	dynamic	NOUN
ma-216	28	9	of	of	ADP
ma-216	28	10	infections	infection	NOUN
ma-216	28	11	,	,	PUNCT
ma-216	28	12	provide	provide	VERB
ma-216	28	13	/	/	SYM
ma-216	28	14	estimate	estimate	NOUN
ma-216	28	15	the	the	DET
ma-216	28	16	thresholds	threshold	NOUN
ma-216	28	17	indicators	indicator	NOUN
ma-216	28	18	that	that	PRON
ma-216	28	19	determinewhether	determinewhether	VERB
ma-216	28	20	the	the	DET
ma-216	28	21	disease	disease	NOUN
ma-216	28	22	will	will	AUX
ma-216	28	23	persist	persist	VERB
ma-216	28	24	or	or	CCONJ
ma-216	28	25	die	die	VERB
ma-216	28	26	out	out	ADP
ma-216	29	1	[	[	X
ma-216	29	2	6–8].according	6–8].accorde	VERB
ma-216	29	3	to	to	PART
ma-216	29	4	mukhaktar	mukhaktar	PROPN
ma-216	29	5	et	et	PROPN
ma-216	29	6	al	al	PROPN
ma-216	29	7	.	.	PUNCT
ma-216	30	1	[	[	X
ma-216	30	2	9	9	NUM
ma-216	30	3	]	]	PUNCT
ma-216	30	4	,	,	PUNCT
ma-216	30	5	mathematicallymodeling	mathematicallymodele	VERB
ma-216	30	6	malaria	malaria	NOUN
ma-216	30	7	can	can	AUX
ma-216	30	8	help	help	AUX
ma-216	30	9	better	well	ADV
ma-216	30	10	understand	understand	VERB
ma-216	30	11	the	the	DET
ma-216	30	12	disease	disease	NOUN
ma-216	30	13	dynamics	dynamic	NOUN
ma-216	30	14	and	and	CCONJ
ma-216	30	15	further	far	ADV
ma-216	30	16	unveil	unveil	ADJ
ma-216	30	17	how	how	SCONJ
ma-216	30	18	cer	cer	PROPN
ma-216	30	19	-	-	PUNCT
ma-216	30	20	tain	tain	NOUN
ma-216	30	21	factors	factor	NOUN
ma-216	30	22	such	such	ADJ
ma-216	30	23	as	as	ADP
ma-216	30	24	human	human	ADJ
ma-216	30	25	migration	migration	NOUN
ma-216	30	26	influence	influence	NOUN
ma-216	30	27	the	the	DET
ma-216	30	28	disease	disease	NOUN
ma-216	30	29	transmission	transmission	NOUN
ma-216	30	30	process	process	NOUN
ma-216	30	31	,	,	PUNCT
ma-216	30	32	in	in	ADP
ma-216	30	33	that	that	DET
ma-216	30	34	regard	regard	NOUN
ma-216	30	35	,	,	PUNCT
ma-216	30	36	several	several	ADJ
ma-216	30	37	modeling	modeling	NOUN
ma-216	30	38	studies	study	NOUN
ma-216	30	39	have	have	AUX
ma-216	30	40	been	be	AUX
ma-216	30	41	conducted	conduct	VERB
ma-216	30	42	concerning	concern	VERB
ma-216	30	43	human	human	ADJ
ma-216	30	44	migration	migration	NOUN
ma-216	30	45	and	and	CCONJ
ma-216	30	46	malaria	malaria	NOUN
ma-216	30	47	.	.	PUNCT
ma-216	31	1	authorsin	authorsin	VERB
ma-216	32	1	[	[	X
ma-216	32	2	9	9	NUM
ma-216	32	3	]	]	PUNCT
ma-216	32	4	assessed	assess	VERB
ma-216	32	5	how	how	SCONJ
ma-216	32	6	human	human	ADJ
ma-216	32	7	mobility	mobility	NOUN
ma-216	32	8	impact	impact	VERB
ma-216	32	9	the	the	DET
ma-216	32	10	malaria	malaria	NOUN
ma-216	32	11	disease	disease	NOUN
ma-216	32	12	burden	burden	NOUN
ma-216	32	13	in	in	ADP
ma-216	32	14	south	south	PROPN
ma-216	32	15	sudan	sudan	PROPN
ma-216	32	16	.	.	PUNCT
ma-216	33	1	apriantiet	apriantiet	PROPN
ma-216	33	2	al	al	PROPN
ma-216	33	3	.	.	PUNCT
ma-216	34	1	[	[	X
ma-216	34	2	10	10	NUM
ma-216	34	3	]	]	PUNCT
ma-216	34	4	examined	examine	VERB
ma-216	34	5	the	the	DET
ma-216	34	6	effect	effect	NOUN
ma-216	34	7	of	of	ADP
ma-216	34	8	susceptible	susceptible	ADJ
ma-216	34	9	immigrants	immigrant	NOUN
ma-216	34	10	on	on	ADP
ma-216	34	11	the	the	DET
ma-216	34	12	spread	spread	NOUN
ma-216	34	13	of	of	ADP
ma-216	34	14	malaria	malaria	NOUN
ma-216	34	15	in	in	ADP
ma-216	34	16	indonesia.yiga	indonesia.yiga	PROPN
ma-216	34	17	et	et	NOUN
ma-216	34	18	al	al	PROPN
ma-216	34	19	.	.	PUNCT
ma-216	35	1	[	[	X
ma-216	35	2	11	11	NUM
ma-216	35	3	]	]	PUNCT
ma-216	35	4	analysed	analyse	VERB
ma-216	35	5	a	a	DET
ma-216	35	6	malaria	malaria	NOUN
ma-216	35	7	transmission	transmission	NOUN
ma-216	35	8	model	model	NOUN
ma-216	35	9	that	that	PRON
ma-216	35	10	takes	take	VERB
ma-216	35	11	into	into	ADP
ma-216	35	12	consideration	consideration	NOUN
ma-216	35	13	the	the	DET
ma-216	35	14	combinedeffect	combinedeffect	NOUN
ma-216	35	15	of	of	ADP
ma-216	35	16	infected	infected	ADJ
ma-216	35	17	immigrants	immigrant	NOUN
ma-216	35	18	and	and	CCONJ
ma-216	35	19	other	other	ADJ
ma-216	35	20	variables	variable	NOUN
ma-216	35	21	that	that	PRON
ma-216	35	22	depend	depend	VERB
ma-216	35	23	on	on	ADP
ma-216	35	24	temperature	temperature	NOUN
ma-216	35	25	and	and	CCONJ
ma-216	35	26	rainfall	rainfall	NOUN
ma-216	35	27	.	.	PUNCT
ma-216	36	1	ma	ma	PROPN
ma-216	36	2	-	-	PUNCT
ma-216	36	3	liki	liki	PROPN
ma-216	36	4	et	et	PROPN
ma-216	36	5	al	al	PROPN
ma-216	36	6	.	.	PUNCT
ma-216	37	1	[	[	X
ma-216	37	2	2	2	X
ma-216	37	3	]	]	PUNCT
ma-216	37	4	modelled	model	VERB
ma-216	37	5	the	the	DET
ma-216	37	6	control	control	NOUN
ma-216	37	7	of	of	ADP
ma-216	37	8	malaria	malaria	NOUN
ma-216	37	9	in	in	ADP
ma-216	37	10	a	a	DET
ma-216	37	11	population	population	NOUN
ma-216	37	12	with	with	ADP
ma-216	37	13	infected	infected	ADJ
ma-216	37	14	immigrants	immigrant	NOUN
ma-216	37	15	.	.	PUNCT
ma-216	38	1	witboi	witboi	PROPN
ma-216	38	2	etal	etal	PROPN
ma-216	38	3	.	.	PUNCT
ma-216	39	1	[	[	X
ma-216	39	2	12	12	NUM
ma-216	39	3	]	]	PUNCT
ma-216	39	4	presented	present	VERB
ma-216	39	5	a	a	DET
ma-216	39	6	malaria	malaria	NOUN
ma-216	39	7	population	population	NOUN
ma-216	39	8	dynamics	dynamic	NOUN
ma-216	39	9	model	model	NOUN
ma-216	39	10	with	with	ADP
ma-216	39	11	human	human	ADJ
ma-216	39	12	migrants	migrant	NOUN
ma-216	39	13	.	.	PUNCT
ma-216	40	1	yacheur	yacheur	PROPN
ma-216	40	2	et	et	PROPN
ma-216	40	3	al	al	PROPN
ma-216	40	4	.	.	PUNCT
ma-216	41	1	[	[	X
ma-216	41	2	13]studied	13]studie	VERB
ma-216	41	3	the	the	DET
ma-216	41	4	importation	importation	NOUN
ma-216	41	5	of	of	ADP
ma-216	41	6	malaria	malaria	NOUN
ma-216	41	7	infections	infection	NOUN
ma-216	41	8	from	from	ADP
ma-216	41	9	sub	sub	ADJ
ma-216	41	10	-	-	ADJ
ma-216	41	11	saharan	saharan	ADJ
ma-216	41	12	africa	africa	PROPN
ma-216	41	13	to	to	ADP
ma-216	41	14	northern	northern	PROPN
ma-216	41	15	africa	africa	PROPN
ma-216	41	16	and	and	CCONJ
ma-216	41	17	theabsorption	theabsorption	NOUN
ma-216	41	18	effect	effect	NOUN
ma-216	41	19	of	of	ADP
ma-216	41	20	the	the	DET
ma-216	41	21	immigrants	immigrant	NOUN
ma-216	41	22	.	.	PUNCT
ma-216	42	1	researchers	researcher	NOUN
ma-216	42	2	in	in	ADP
ma-216	42	3	[	[	X
ma-216	42	4	14	14	NUM
ma-216	42	5	,	,	PUNCT
ma-216	42	6	15	15	NUM
ma-216	42	7	]	]	PUNCT
ma-216	42	8	formulated	formulated	ADJ
ma-216	42	9	and	and	CCONJ
ma-216	42	10	analyzed	analyze	VERB
ma-216	42	11	mathematicalmodels	mathematicalmodel	NOUN
ma-216	42	12	for	for	ADP
ma-216	42	13	malaria	malaria	NOUN
ma-216	42	14	disease	disease	NOUN
ma-216	42	15	dynamics	dynamic	NOUN
ma-216	42	16	that	that	PRON
ma-216	42	17	considered	consider	VERB
ma-216	42	18	malaria	malaria	NOUN
ma-216	42	19	vaccination	vaccination	NOUN
ma-216	42	20	campaigns	campaign	NOUN
ma-216	42	21	and	and	CCONJ
ma-216	42	22	inflow	inflow	NOUN
ma-216	42	23	ofinfective	ofinfective	ADJ
ma-216	42	24	immigrants	immigrant	NOUN
ma-216	42	25	.	.	PUNCT
ma-216	43	1	ahkrizal	ahkrizal	NOUN
ma-216	43	2	et	et	PROPN
ma-216	43	3	al	al	PROPN
ma-216	43	4	.	.	PUNCT
ma-216	44	1	[	[	X
ma-216	44	2	16	16	NUM
ma-216	44	3	]	]	PUNCT
ma-216	44	4	formulated	formulate	VERB
ma-216	44	5	a	a	DET
ma-216	44	6	malaria	malaria	NOUN
ma-216	44	7	dynamics	dynamic	NOUN
ma-216	44	8	model	model	NOUN
ma-216	44	9	capturing	capture	VERB
ma-216	44	10	the	the	DET
ma-216	44	11	inflowof	inflowof	NOUN
ma-216	44	12	exposed	expose	VERB
ma-216	44	13	and	and	CCONJ
ma-216	44	14	infected	infected	ADJ
ma-216	44	15	migrants	migrant	NOUN
ma-216	44	16	and	and	CCONJ
ma-216	44	17	the	the	DET
ma-216	44	18	recovery	recovery	NOUN
ma-216	44	19	of	of	ADP
ma-216	44	20	exposed	expose	VERB
ma-216	44	21	individuals.in	individuals.in	PRON
ma-216	44	22	the	the	DET
ma-216	44	23	above	above	ADV
ma-216	44	24	mentioned	mention	VERB
ma-216	44	25	literature	literature	NOUN
ma-216	44	26	,	,	PUNCT
ma-216	44	27	little	little	ADJ
ma-216	44	28	attention	attention	NOUN
ma-216	44	29	is	be	AUX
ma-216	44	30	given	give	VERB
ma-216	44	31	to	to	ADP
ma-216	44	32	the	the	DET
ma-216	44	33	aquatic	aquatic	ADJ
ma-216	44	34	phase	phase	NOUN
ma-216	44	35	of	of	ADP
ma-216	44	36	the	the	DET
ma-216	44	37	malariavectors	malariavector	NOUN
ma-216	44	38	.	.	PUNCT
ma-216	45	1	even	even	ADV
ma-216	45	2	though	though	ADV
ma-216	45	3	,	,	PUNCT
ma-216	45	4	the	the	DET
ma-216	45	5	population	population	NOUN
ma-216	45	6	of	of	ADP
ma-216	45	7	adults	adult	NOUN
ma-216	45	8	mosquitoes	mosquitoe	VERB
ma-216	45	9	responsible	responsible	ADJ
ma-216	45	10	for	for	ADP
ma-216	45	11	disseminating	disseminate	VERB
ma-216	45	12	malariainfections	malariainfection	NOUN
ma-216	45	13	is	be	AUX
ma-216	45	14	proportional	proportional	ADJ
ma-216	45	15	to	to	ADP
ma-216	45	16	the	the	DET
ma-216	45	17	density	density	NOUN
ma-216	45	18	of	of	ADP
ma-216	45	19	the	the	DET
ma-216	45	20	aquatic	aquatic	ADJ
ma-216	45	21	mosquitoes	mosquito	NOUN
ma-216	45	22	.	.	PUNCT
ma-216	46	1	it	it	PRON
ma-216	46	2	is	be	AUX
ma-216	46	3	therefore	therefore	ADV
ma-216	46	4	necessary	necessary	ADJ
ma-216	46	5	totake	totake	VERB
ma-216	46	6	into	into	ADP
ma-216	46	7	consideration	consideration	NOUN
ma-216	46	8	the	the	DET
ma-216	46	9	aquatic	aquatic	ADJ
ma-216	46	10	stages	stage	NOUN
ma-216	46	11	of	of	ADP
ma-216	46	12	the	the	DET
ma-216	46	13	vector	vector	NOUN
ma-216	46	14	in	in	ADP
ma-216	46	15	a	a	DET
ma-216	46	16	malaria	malaria	NOUN
ma-216	46	17	model	model	NOUN
ma-216	46	18	[	[	X
ma-216	46	19	11	11	NUM
ma-216	46	20	,	,	PUNCT
ma-216	46	21	17	17	NUM
ma-216	46	22	]	]	PUNCT
ma-216	46	23	.	.	PUNCT
ma-216	47	1	hence	hence	ADV
ma-216	47	2	,	,	PUNCT
ma-216	47	3	in	in	ADP
ma-216	47	4	thisstudy	thisstudy	NOUN
ma-216	47	5	,	,	PUNCT
ma-216	47	6	in	in	ADP
ma-216	47	7	order	order	NOUN
ma-216	47	8	to	to	PART
ma-216	47	9	explore	explore	VERB
ma-216	47	10	the	the	DET
ma-216	47	11	impact	impact	NOUN
ma-216	47	12	of	of	ADP
ma-216	47	13	exposed	expose	VERB
ma-216	47	14	and	and	CCONJ
ma-216	47	15	infected	infect	VERB
ma-216	47	16	individuals	individual	NOUN
ma-216	47	17	on	on	ADP
ma-216	47	18	the	the	DET
ma-216	47	19	endemic	endemic	ADJ
ma-216	47	20	conditionof	conditionof	NOUN
ma-216	47	21	malaria	malaria	NOUN
ma-216	47	22	,	,	PUNCT
ma-216	47	23	we	we	PRON
ma-216	47	24	extend	extend	VERB
ma-216	47	25	the	the	DET
ma-216	47	26	malaria	malaria	NOUN
ma-216	47	27	models	model	NOUN
ma-216	47	28	formulated	formulate	VERB
ma-216	47	29	in	in	ADP
ma-216	47	30	[	[	X
ma-216	47	31	11	11	NUM
ma-216	47	32	]	]	PUNCT
ma-216	47	33	to	to	PART
ma-216	47	34	include	include	VERB
ma-216	47	35	the	the	DET
ma-216	47	36	exposed	expose	VERB
ma-216	47	37	vectors	vector	NOUN
ma-216	47	38	and	and	CCONJ
ma-216	47	39	themodel	themodel	NOUN
ma-216	47	40	in	in	ADP
ma-216	47	41	[	[	X
ma-216	47	42	16	16	NUM
ma-216	47	43	]	]	PUNCT
ma-216	47	44	to	to	PART
ma-216	47	45	capture	capture	VERB
ma-216	47	46	the	the	DET
ma-216	47	47	aquatic	aquatic	ADJ
ma-216	47	48	stage	stage	NOUN
ma-216	47	49	of	of	ADP
ma-216	47	50	the	the	DET
ma-216	47	51	anopheles	anophele	NOUN
ma-216	47	52	female	female	ADJ
ma-216	47	53	mosquito	mosquito	NOUN
ma-216	47	54	without	without	ADP
ma-216	47	55	the	the	DET
ma-216	47	56	relapsefactor	relapsefactor	NOUN
ma-216	47	57	of	of	ADP
ma-216	47	58	the	the	DET
ma-216	47	59	recovered	recovered	ADJ
ma-216	47	60	individuals	individual	NOUN
ma-216	47	61	.	.	PUNCT
ma-216	48	1	the	the	DET
ma-216	48	2	rest	rest	NOUN
ma-216	48	3	of	of	ADP
ma-216	48	4	the	the	DET
ma-216	48	5	organization	organization	NOUN
ma-216	48	6	of	of	ADP
ma-216	48	7	the	the	DET
ma-216	48	8	paper	paper	NOUN
ma-216	48	9	is	be	AUX
ma-216	48	10	as	as	SCONJ
ma-216	48	11	follows	follow	VERB
ma-216	48	12	:	:	PUNCT
ma-216	48	13	sectiontwo	sectiontwo	PROPN
ma-216	48	14	takes	take	VERB
ma-216	48	15	care	care	NOUN
ma-216	48	16	of	of	ADP
ma-216	48	17	the	the	DET
ma-216	48	18	model	model	NOUN
ma-216	48	19	formulation	formulation	NOUN
ma-216	48	20	and	and	CCONJ
ma-216	48	21	analysis	analysis	NOUN
ma-216	48	22	,	,	PUNCT
ma-216	48	23	in	in	ADP
ma-216	48	24	section	section	NOUN
ma-216	48	25	three	three	NUM
ma-216	48	26	,	,	PUNCT
ma-216	48	27	the	the	DET
ma-216	48	28	sensitivity	sensitivity	NOUN
ma-216	48	29	analysisresults	analysisresult	NOUN
ma-216	48	30	is	be	AUX
ma-216	48	31	presented	present	VERB
ma-216	48	32	,	,	PUNCT
ma-216	48	33	population	population	NOUN
ma-216	48	34	simulations	simulation	NOUN
ma-216	48	35	is	be	AUX
ma-216	48	36	carried	carry	VERB
ma-216	48	37	out	out	ADP
ma-216	48	38	in	in	ADP
ma-216	48	39	section	section	NOUN
ma-216	48	40	four	four	NUM
ma-216	48	41	and	and	CCONJ
ma-216	48	42	the	the	DET
ma-216	48	43	conclusion	conclusion	NOUN
ma-216	48	44	ispresented	ispresente	VERB
ma-216	48	45	in	in	ADP
ma-216	48	46	section	section	NOUN
ma-216	48	47	five	five	NUM
ma-216	48	48	.	.	PUNCT
ma-216	49	1	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	49	2	eur	eur	PROPN
ma-216	49	3	.	.	PUNCT
ma-216	50	1	j.	j.	PROPN
ma-216	50	2	math	math	PROPN
ma-216	50	3	.	.	PUNCT
ma-216	51	1	anal	anal	PROPN
ma-216	51	2	.	.	PUNCT
ma-216	52	1	10.28924	10.28924	NUM
ma-216	52	2	/	/	SYM
ma-216	52	3	ada	ada	PROPN
ma-216	52	4	/	/	SYM
ma-216	52	5	ma.4.7	ma.4.7	PROPN
ma-216	52	6	32	32	NUM
ma-216	52	7	.	.	PUNCT
ma-216	53	1	malaria	malaria	NOUN
ma-216	53	2	model	model	PROPN
ma-216	53	3	development	development	PROPN
ma-216	53	4	the	the	DET
ma-216	53	5	model	model	NOUN
ma-216	53	6	considered	consider	VERB
ma-216	53	7	the	the	DET
ma-216	53	8	interactions	interaction	NOUN
ma-216	53	9	of	of	ADP
ma-216	53	10	humans	human	NOUN
ma-216	53	11	(	(	PUNCT
ma-216	53	12	hosts	host	NOUN
ma-216	53	13	)	)	PUNCT
ma-216	53	14	and	and	CCONJ
ma-216	53	15	female	female	ADJ
ma-216	53	16	anopheles	anophele	NOUN
ma-216	53	17	mosquitoes(vectors	mosquitoes(vector	NOUN
ma-216	53	18	)	)	PUNCT
ma-216	53	19	.	.	PUNCT
ma-216	54	1	humans	human	NOUN
ma-216	54	2	(	(	PUNCT
ma-216	54	3	hosts	host	NOUN
ma-216	54	4	)	)	PUNCT
ma-216	54	5	are	be	AUX
ma-216	54	6	classified	classify	VERB
ma-216	54	7	into	into	ADP
ma-216	54	8	susceptible	susceptible	ADJ
ma-216	54	9	(	(	PUNCT
ma-216	54	10	sh	sh	PROPN
ma-216	54	11	)	)	PUNCT
ma-216	54	12	,	,	PUNCT
ma-216	54	13	exposed	expose	VERB
ma-216	54	14	(	(	PUNCT
ma-216	54	15	eh	eh	INTJ
ma-216	54	16	)	)	PUNCT
ma-216	54	17	,	,	PUNCT
ma-216	54	18	infected	infect	VERB
ma-216	54	19	(	(	PUNCT
ma-216	54	20	ih	ih	NOUN
ma-216	54	21	)	)	PUNCT
ma-216	54	22	andrecovered	andrecovere	VERB
ma-216	54	23	(	(	PUNCT
ma-216	54	24	rh	rh	PROPN
ma-216	54	25	)	)	PUNCT
ma-216	54	26	sub	sub	NOUN
ma-216	54	27	-	-	NOUN
ma-216	54	28	classes	class	NOUN
ma-216	54	29	.	.	PUNCT
ma-216	55	1	as	as	ADP
ma-216	55	2	a	a	DET
ma-216	55	3	result	result	NOUN
ma-216	55	4	,	,	PUNCT
ma-216	55	5	the	the	DET
ma-216	55	6	total	total	ADJ
ma-216	55	7	human	human	ADJ
ma-216	55	8	population	population	NOUN
ma-216	55	9	at	at	ADP
ma-216	55	10	any	any	DET
ma-216	55	11	given	give	VERB
ma-216	55	12	time	time	NOUN
ma-216	55	13	t	t	PROPN
ma-216	55	14	is	be	AUX
ma-216	55	15	:	:	PUNCT
ma-216	55	16	nh	nh	PROPN
ma-216	55	17	(	(	PUNCT
ma-216	55	18	t	t	PROPN
ma-216	55	19	)	)	PUNCT
ma-216	55	20	=	=	SYM
ma-216	56	1	sh	sh	INTJ
ma-216	56	2	(	(	PUNCT
ma-216	56	3	t	t	PROPN
ma-216	56	4	)	)	PUNCT
ma-216	56	5	+	+	CCONJ
ma-216	56	6	eh	eh	INTJ
ma-216	56	7	(	(	PUNCT
ma-216	56	8	t	t	PROPN
ma-216	56	9	)	)	PUNCT
ma-216	56	10	+	+	CCONJ
ma-216	56	11	ih	ih	PROPN
ma-216	56	12	(	(	PUNCT
ma-216	56	13	t	t	PROPN
ma-216	56	14	)	)	PUNCT
ma-216	56	15	+	+	CCONJ
ma-216	57	1	rh	rh	PROPN
ma-216	57	2	(	(	PUNCT
ma-216	57	3	t	t	PROPN
ma-216	57	4	)	)	PUNCT
ma-216	57	5	(	(	PUNCT
ma-216	57	6	1	1	X
ma-216	57	7	)	)	PUNCT
ma-216	57	8	the	the	DET
ma-216	57	9	human	human	NOUN
ma-216	57	10	/	/	SYM
ma-216	57	11	host	host	NOUN
ma-216	57	12	population	population	NOUN
ma-216	57	13	is	be	AUX
ma-216	57	14	sustained	sustain	VERB
ma-216	57	15	at	at	ADP
ma-216	57	16	a	a	DET
ma-216	57	17	constant	constant	ADJ
ma-216	57	18	birth	birth	NOUN
ma-216	57	19	rate	rate	NOUN
ma-216	57	20	πh	πh	PROPN
ma-216	57	21	and	and	CCONJ
ma-216	57	22	immigration	immigration	NOUN
ma-216	57	23	rate	rate	NOUN
ma-216	57	24	m.hence	m.hence	NOUN
ma-216	57	25	,	,	PUNCT
ma-216	57	26	the	the	DET
ma-216	57	27	susceptible	susceptible	ADJ
ma-216	57	28	human	human	ADJ
ma-216	57	29	class	class	NOUN
ma-216	57	30	is	be	AUX
ma-216	57	31	generated	generate	VERB
ma-216	57	32	at	at	ADP
ma-216	57	33	a	a	DET
ma-216	57	34	rate	rate	NOUN
ma-216	57	35	(	(	PUNCT
ma-216	57	36	πh	πh	NOUN
ma-216	57	37	+	+	CCONJ
ma-216	57	38	(	(	PUNCT
ma-216	57	39	1−	1−	NUM
ma-216	57	40	p1	p1	NOUN
ma-216	57	41	−	−	PROPN
ma-216	57	42	p2)m	p2)m	NOUN
ma-216	57	43	)	)	PUNCT
ma-216	57	44	,	,	PUNCT
ma-216	57	45	where	where	SCONJ
ma-216	57	46	p1	p1	NOUN
ma-216	57	47	and	and	CCONJ
ma-216	57	48	p2	p2	PROPN
ma-216	57	49	are	be	AUX
ma-216	57	50	the	the	DET
ma-216	57	51	immigration	immigration	NOUN
ma-216	57	52	rate	rate	NOUN
ma-216	57	53	of	of	ADP
ma-216	57	54	exposed	expose	VERB
ma-216	57	55	and	and	CCONJ
ma-216	57	56	infected	infected	ADJ
ma-216	57	57	migrants	migrant	NOUN
ma-216	57	58	respectively	respectively	ADV
ma-216	57	59	.	.	PUNCT
ma-216	58	1	recovered	recover	VERB
ma-216	58	2	immigrantsare	immigrantsare	NOUN
ma-216	58	3	assumed	assume	VERB
ma-216	58	4	to	to	PART
ma-216	58	5	be	be	AUX
ma-216	58	6	susceptible	susceptible	ADJ
ma-216	58	7	to	to	ADP
ma-216	58	8	malaria	malaria	NOUN
ma-216	58	9	.	.	PUNCT
ma-216	59	1	susceptible	susceptible	ADJ
ma-216	59	2	humans	human	NOUN
ma-216	59	3	become	become	VERB
ma-216	59	4	exposed	expose	VERB
ma-216	59	5	to	to	ADP
ma-216	59	6	malaria	malaria	NOUN
ma-216	59	7	infec	infec	PROPN
ma-216	59	8	-	-	PUNCT
ma-216	59	9	tions	tion	NOUN
ma-216	59	10	through	through	ADP
ma-216	59	11	effective	effective	ADJ
ma-216	59	12	contact	contact	NOUN
ma-216	59	13	with	with	ADP
ma-216	59	14	infected	infected	ADJ
ma-216	59	15	female	female	ADJ
ma-216	59	16	anopheles	anophele	NOUN
ma-216	59	17	mosquitoes	mosquito	NOUN
ma-216	59	18	during	during	ADP
ma-216	59	19	blood	blood	NOUN
ma-216	59	20	meal	meal	NOUN
ma-216	59	21	ata	ata	NOUN
ma-216	59	22	rate	rate	NOUN
ma-216	59	23	λh	λh	VERB
ma-216	59	24	.	.	PROPN
ma-216	59	25	exposed	expose	VERB
ma-216	59	26	humans	human	NOUN
ma-216	59	27	progress	progress	VERB
ma-216	59	28	to	to	ADP
ma-216	59	29	infected	infected	ADJ
ma-216	59	30	class	class	NOUN
ma-216	59	31	at	at	ADP
ma-216	59	32	rate	rate	NOUN
ma-216	59	33	γ	γ	PROPN
ma-216	59	34	.	.	PUNCT
ma-216	60	1	the	the	DET
ma-216	60	2	size	size	NOUN
ma-216	60	3	of	of	ADP
ma-216	60	4	exposed	expose	VERB
ma-216	60	5	humans	human	NOUN
ma-216	60	6	isaugmented	isaugmente	VERB
ma-216	60	7	as	as	ADP
ma-216	60	8	results	result	NOUN
ma-216	60	9	of	of	ADP
ma-216	60	10	immigration	immigration	NOUN
ma-216	60	11	of	of	ADP
ma-216	60	12	humans	human	NOUN
ma-216	60	13	at	at	ADP
ma-216	60	14	a	a	DET
ma-216	60	15	rate	rate	NOUN
ma-216	60	16	p1	p1	NOUN
ma-216	60	17	m	m	NOUN
ma-216	60	18	.	.	PUNCT
ma-216	61	1	it	it	PRON
ma-216	61	2	is	be	AUX
ma-216	61	3	common	common	ADJ
ma-216	61	4	to	to	PART
ma-216	61	5	find	find	VERB
ma-216	61	6	people	people	NOUN
ma-216	61	7	insettings	insetting	NOUN
ma-216	61	8	with	with	ADP
ma-216	61	9	limited	limited	ADJ
ma-216	61	10	health	health	NOUN
ma-216	61	11	facilities	facility	NOUN
ma-216	61	12	resorting	resort	VERB
ma-216	61	13	to	to	ADP
ma-216	61	14	self	self	NOUN
ma-216	61	15	medication	medication	NOUN
ma-216	61	16	after	after	ADP
ma-216	61	17	being	be	AUX
ma-216	61	18	bitten	bite	VERB
ma-216	61	19	by	by	ADP
ma-216	61	20	mosquitoesor	mosquitoesor	NOUN
ma-216	61	21	when	when	SCONJ
ma-216	61	22	a	a	DET
ma-216	61	23	family	family	NOUN
ma-216	61	24	member	member	NOUN
ma-216	61	25	is	be	AUX
ma-216	61	26	suspected	suspect	VERB
ma-216	61	27	of	of	ADP
ma-216	61	28	suffering	suffer	VERB
ma-216	61	29	from	from	ADP
ma-216	61	30	malaria	malaria	NOUN
ma-216	61	31	.	.	PUNCT
ma-216	62	1	hence	hence	ADV
ma-216	62	2	,	,	PUNCT
ma-216	62	3	in	in	ADP
ma-216	62	4	this	this	DET
ma-216	62	5	model	model	NOUN
ma-216	62	6	it	it	PRON
ma-216	62	7	is	be	AUX
ma-216	62	8	assumedthat	assumedthat	PROPN
ma-216	62	9	exposed	expose	VERB
ma-216	62	10	individuals	individual	NOUN
ma-216	62	11	recover	recover	VERB
ma-216	62	12	from	from	ADP
ma-216	62	13	malaria	malaria	NOUN
ma-216	62	14	at	at	ADP
ma-216	62	15	a	a	DET
ma-216	62	16	rate	rate	NOUN
ma-216	62	17	ω	ω	NOUN
ma-216	62	18	.	.	PUNCT
ma-216	63	1	the	the	DET
ma-216	63	2	density	density	NOUN
ma-216	63	3	of	of	ADP
ma-216	63	4	the	the	DET
ma-216	63	5	infected	infected	ADJ
ma-216	63	6	humans	human	NOUN
ma-216	63	7	isreduced	isreduce	VERB
ma-216	63	8	following	follow	VERB
ma-216	63	9	treatment	treatment	NOUN
ma-216	63	10	at	at	ADP
ma-216	63	11	rate	rate	NOUN
ma-216	63	12	τ	τ	PROPN
ma-216	63	13	or	or	CCONJ
ma-216	63	14	due	due	ADP
ma-216	63	15	to	to	ADP
ma-216	63	16	malaria	malaria	NOUN
ma-216	63	17	induced	induce	VERB
ma-216	63	18	mortality	mortality	NOUN
ma-216	63	19	at	at	ADP
ma-216	63	20	a	a	DET
ma-216	63	21	rate	rate	NOUN
ma-216	63	22	δ	δ	PROPN
ma-216	63	23	.	.	PUNCT
ma-216	64	1	the	the	DET
ma-216	64	2	size	size	NOUN
ma-216	64	3	ofthe	ofthe	VERB
ma-216	64	4	infected	infect	VERB
ma-216	64	5	humans	human	NOUN
ma-216	64	6	is	be	AUX
ma-216	64	7	augmented	augment	VERB
ma-216	64	8	due	due	ADP
ma-216	64	9	to	to	ADP
ma-216	64	10	migration	migration	NOUN
ma-216	64	11	of	of	ADP
ma-216	64	12	infected	infected	ADJ
ma-216	64	13	individuals	individual	NOUN
ma-216	64	14	at	at	ADP
ma-216	64	15	rate	rate	NOUN
ma-216	64	16	p2	p2	PROPN
ma-216	64	17	m	m	NOUN
ma-216	64	18	.	.	PUNCT
ma-216	65	1	recoveredindividuals	recoveredindividual	NOUN
ma-216	65	2	lose	lose	VERB
ma-216	65	3	their	their	PRON
ma-216	65	4	immunity	immunity	NOUN
ma-216	65	5	and	and	CCONJ
ma-216	65	6	join	join	VERB
ma-216	65	7	the	the	DET
ma-216	65	8	susceptible	susceptible	ADJ
ma-216	65	9	sub	sub	NOUN
ma-216	65	10	-	-	NOUN
ma-216	65	11	class	class	NOUN
ma-216	65	12	at	at	ADP
ma-216	65	13	a	a	DET
ma-216	65	14	rate	rate	NOUN
ma-216	65	15	ϕ.	ϕ.	NOUN
ma-216	65	16	the	the	DET
ma-216	65	17	constant	constant	ADJ
ma-216	65	18	µh	µh	X
ma-216	65	19	isthe	isthe	ADJ
ma-216	65	20	human	human	ADJ
ma-216	65	21	removal	removal	NOUN
ma-216	65	22	rate	rate	NOUN
ma-216	65	23	from	from	ADP
ma-216	65	24	each	each	DET
ma-216	65	25	human	human	ADJ
ma-216	65	26	compartment.also	compartment.also	NOUN
ma-216	65	27	,	,	PUNCT
ma-216	65	28	the	the	DET
ma-216	65	29	vector	vector	NOUN
ma-216	65	30	(	(	PUNCT
ma-216	65	31	anopheles	anophele	NOUN
ma-216	65	32	mosquito	mosquito	NOUN
ma-216	65	33	)	)	PUNCT
ma-216	65	34	population	population	NOUN
ma-216	65	35	is	be	AUX
ma-216	65	36	stratified	stratify	VERB
ma-216	65	37	into	into	ADP
ma-216	65	38	immature	immature	ADJ
ma-216	65	39	and	and	CCONJ
ma-216	65	40	adult	adult	NOUN
ma-216	65	41	mosquitosub	mosquitosub	NOUN
ma-216	65	42	-	-	PUNCT
ma-216	65	43	populations	population	NOUN
ma-216	65	44	.	.	PUNCT
ma-216	66	1	the	the	DET
ma-216	66	2	immature	immature	ADJ
ma-216	66	3	female	female	ADJ
ma-216	66	4	anopheles	anophele	NOUN
ma-216	66	5	mosquito	mosquito	VERB
ma-216	66	6	sub	sub	NOUN
ma-216	66	7	-	-	ADJ
ma-216	66	8	population	population	NOUN
ma-216	66	9	includes	include	VERB
ma-216	66	10	the	the	DET
ma-216	66	11	mosquitoeggs	mosquitoegg	NOUN
ma-216	66	12	,	,	PUNCT
ma-216	66	13	larvae	larvae	NOUN
ma-216	66	14	and	and	CCONJ
ma-216	66	15	pupae	pupae	NOUN
ma-216	66	16	stages.these	stages.these	ADJ
ma-216	66	17	aquatic	aquatic	ADJ
ma-216	66	18	stages	stage	NOUN
ma-216	66	19	are	be	AUX
ma-216	66	20	represented	represent	VERB
ma-216	66	21	by	by	ADP
ma-216	66	22	a	a	DET
ma-216	66	23	single	single	ADJ
ma-216	66	24	compartment	compartment	NOUN
ma-216	66	25	denoted	denote	VERB
ma-216	66	26	by	by	ADP
ma-216	66	27	(	(	PUNCT
ma-216	66	28	am	be	AUX
ma-216	66	29	)	)	PUNCT
ma-216	66	30	.	.	PUNCT
ma-216	67	1	the	the	DET
ma-216	67	2	aquaticvector	aquaticvector	NOUN
ma-216	67	3	(	(	PUNCT
ma-216	67	4	am	be	AUX
ma-216	67	5	)	)	PUNCT
ma-216	67	6	is	be	AUX
ma-216	67	7	generated	generate	VERB
ma-216	67	8	from	from	ADP
ma-216	67	9	the	the	DET
ma-216	67	10	eggs	egg	NOUN
ma-216	67	11	laid	lay	VERB
ma-216	67	12	by	by	ADP
ma-216	67	13	the	the	DET
ma-216	67	14	matured	mature	VERB
ma-216	67	15	mosquitoes	mosquito	NOUN
ma-216	67	16	(	(	PUNCT
ma-216	67	17	susceptible	susceptible	ADJ
ma-216	67	18	,	,	PUNCT
ma-216	67	19	exposed	expose	VERB
ma-216	67	20	andinfected	andinfecte	VERB
ma-216	67	21	)	)	PUNCT
ma-216	67	22	at	at	ADP
ma-216	67	23	a	a	DET
ma-216	67	24	rate	rate	NOUN
ma-216	67	25	πm	πm	ADP
ma-216	67	26	(	(	PUNCT
ma-216	67	27	1−	1−	NUM
ma-216	67	28	am	am	NOUN
ma-216	67	29	k	k	PROPN
ma-216	67	30	)	)	PUNCT
ma-216	68	1	(	(	PUNCT
ma-216	68	2	sm	sm	INTJ
ma-216	68	3	+	+	CCONJ
ma-216	68	4	em	em	PRON
ma-216	68	5	+	+	CCONJ
ma-216	68	6	im).the	im).the	ADP
ma-216	68	7	population	population	NOUN
ma-216	68	8	of	of	ADP
ma-216	68	9	aquatic	aquatic	ADJ
ma-216	68	10	vector	vector	NOUN
ma-216	68	11	is	be	AUX
ma-216	68	12	bounded	bound	VERB
ma-216	68	13	above	above	ADV
ma-216	68	14	by	by	ADP
ma-216	68	15	the	the	DET
ma-216	68	16	carrying	carry	VERB
ma-216	68	17	capacity	capacity	NOUN
ma-216	68	18	of	of	ADP
ma-216	68	19	the	the	DET
ma-216	68	20	aquatic	aquatic	ADJ
ma-216	68	21	envi	envi	NOUN
ma-216	68	22	-	-	PUNCT
ma-216	68	23	ronment	ronment	NOUN
ma-216	68	24	(	(	PUNCT
ma-216	68	25	k	k	NOUN
ma-216	68	26	)	)	PUNCT
ma-216	68	27	.	.	PUNCT
ma-216	69	1	the	the	DET
ma-216	69	2	aquatic	aquatic	ADJ
ma-216	69	3	mosquito	mosquito	ADJ
ma-216	69	4	population	population	NOUN
ma-216	69	5	declines	decline	VERB
ma-216	69	6	due	due	ADP
ma-216	69	7	to	to	ADP
ma-216	69	8	natural	natural	ADJ
ma-216	69	9	death	death	NOUN
ma-216	69	10	at	at	ADP
ma-216	69	11	a	a	DET
ma-216	69	12	rate	rate	NOUN
ma-216	69	13	µa	µa	NOUN
ma-216	69	14	.	.	PUNCT
ma-216	69	15	theaquatic	theaquatic	ADJ
ma-216	69	16	mosquitoes	mosquito	NOUN
ma-216	69	17	mature	mature	VERB
ma-216	69	18	into	into	ADP
ma-216	69	19	susceptible	susceptible	ADJ
ma-216	69	20	mosquitoes	mosquito	NOUN
ma-216	69	21	at	at	ADP
ma-216	69	22	a	a	DET
ma-216	69	23	rate	rate	NOUN
ma-216	69	24	ψ	ψ	NOUN
ma-216	69	25	.	.	PUNCT
ma-216	70	1	the	the	DET
ma-216	70	2	matured	mature	VERB
ma-216	70	3	mosquito	mosquito	NOUN
ma-216	70	4	is	be	AUX
ma-216	70	5	furtherstratified	furtherstratifie	VERB
ma-216	70	6	into	into	ADP
ma-216	70	7	susceptible	susceptible	ADJ
ma-216	70	8	(	(	PUNCT
ma-216	70	9	sm	sm	NOUN
ma-216	70	10	)	)	PUNCT
ma-216	70	11	,	,	PUNCT
ma-216	70	12	exposed	expose	VERB
ma-216	70	13	(	(	PUNCT
ma-216	70	14	em	em	PRON
ma-216	70	15	)	)	PUNCT
ma-216	70	16	and	and	CCONJ
ma-216	70	17	infected	infect	VERB
ma-216	70	18	(	(	PUNCT
ma-216	70	19	i	i	NOUN
ma-216	70	20	m	m	NOUN
ma-216	70	21	)	)	PUNCT
ma-216	70	22	vectors	vector	NOUN
ma-216	70	23	.	.	PUNCT
ma-216	71	1	the	the	DET
ma-216	71	2	susceptible	susceptible	ADJ
ma-216	71	3	vectorsbecome	vectorsbecome	NOUN
ma-216	71	4	exposed	expose	VERB
ma-216	71	5	to	to	ADP
ma-216	71	6	malaria	malaria	NOUN
ma-216	71	7	parasites	parasite	NOUN
ma-216	71	8	during	during	ADP
ma-216	71	9	blood	blood	NOUN
ma-216	71	10	meal	meal	NOUN
ma-216	71	11	from	from	ADP
ma-216	71	12	infectious	infectious	ADJ
ma-216	71	13	(	(	PUNCT
ma-216	71	14	infected	infected	ADJ
ma-216	71	15	)	)	PUNCT
ma-216	71	16	humans	human	NOUN
ma-216	71	17	at	at	ADP
ma-216	71	18	a	a	DET
ma-216	71	19	rate	rate	NOUN
ma-216	71	20	λm	λm	ADP
ma-216	71	21	.	.	PUNCT
ma-216	71	22	exposed	expose	VERB
ma-216	71	23	vectors	vector	NOUN
ma-216	71	24	(	(	PUNCT
ma-216	71	25	em	em	PRON
ma-216	71	26	)	)	PUNCT
ma-216	71	27	subsequently	subsequently	ADV
ma-216	71	28	become	become	VERB
ma-216	71	29	infected	infected	ADJ
ma-216	71	30	at	at	ADP
ma-216	71	31	a	a	DET
ma-216	71	32	rate	rate	NOUN
ma-216	71	33	σ	σ	PROPN
ma-216	71	34	.	.	PROPN
ma-216	72	1	as	as	ADP
ma-216	72	2	the	the	DET
ma-216	72	3	results	result	NOUN
ma-216	72	4	of	of	ADP
ma-216	72	5	naturaldeath	naturaldeath	NOUN
ma-216	72	6	at	at	ADP
ma-216	72	7	a	a	DET
ma-216	72	8	rate	rate	NOUN
ma-216	72	9	µm	µm	ADP
ma-216	72	10	,	,	PUNCT
ma-216	72	11	the	the	DET
ma-216	72	12	densities	density	NOUN
ma-216	72	13	of	of	ADP
ma-216	72	14	adult	adult	NOUN
ma-216	72	15	mosquito	mosquito	NOUN
ma-216	72	16	populations	population	NOUN
ma-216	72	17	(	(	PUNCT
ma-216	72	18	(	(	PUNCT
ma-216	72	19	sm	sm	NOUN
ma-216	72	20	)	)	PUNCT
ma-216	72	21	)	)	PUNCT
ma-216	73	1	,	,	PUNCT
ma-216	73	2	(	(	PUNCT
ma-216	73	3	em	em	NOUN
ma-216	73	4	)	)	PUNCT
ma-216	73	5	,	,	PUNCT
ma-216	73	6	(	(	PUNCT
ma-216	73	7	i	i	NOUN
ma-216	73	8	m	m	VERB
ma-216	73	9	)	)	PUNCT
ma-216	73	10	decrease	decrease	NOUN
ma-216	73	11	.	.	PUNCT
ma-216	74	1	thus	thus	ADV
ma-216	74	2	,	,	PUNCT
ma-216	74	3	at	at	ADP
ma-216	74	4	any	any	DET
ma-216	74	5	time	time	NOUN
ma-216	74	6	t	t	NOUN
ma-216	74	7	,	,	PUNCT
ma-216	74	8	the	the	DET
ma-216	74	9	aquatic	aquatic	ADJ
ma-216	74	10	and	and	CCONJ
ma-216	74	11	adult	adult	NOUN
ma-216	74	12	malaria	malaria	NOUN
ma-216	74	13	vector	vector	NOUN
ma-216	74	14	populations	population	NOUN
ma-216	74	15	(	(	PUNCT
ma-216	74	16	am	be	AUX
ma-216	74	17	and	and	CCONJ
ma-216	74	18	nam	nam	NOUN
ma-216	74	19	)	)	PUNCT
ma-216	74	20	satisfy	satisfy	NOUN
ma-216	74	21	:	:	PUNCT
ma-216	74	22	am	be	AUX
ma-216	74	23	(	(	PUNCT
ma-216	74	24	t	t	NOUN
ma-216	74	25	)	)	PUNCT
ma-216	74	26	≤	≤	NOUN
ma-216	75	1	k	k	PROPN
ma-216	75	2	,	,	PUNCT
ma-216	75	3	nam	nam	NOUN
ma-216	75	4	(	(	PUNCT
ma-216	75	5	t	t	PROPN
ma-216	75	6	)	)	PUNCT
ma-216	75	7	=	=	SYM
ma-216	76	1	sm	sm	X
ma-216	76	2	(	(	PUNCT
ma-216	76	3	t	t	PROPN
ma-216	76	4	)	)	PUNCT
ma-216	77	1	+	+	CCONJ
ma-216	77	2	em	em	PRON
ma-216	77	3	(	(	PUNCT
ma-216	77	4	t	t	PROPN
ma-216	77	5	)	)	PUNCT
ma-216	77	6	+	+	CCONJ
ma-216	78	1	i	i	PRON
ma-216	78	2	m	m	VERB
ma-216	78	3	(	(	PUNCT
ma-216	78	4	t	t	PROPN
ma-216	78	5	)	)	PUNCT
ma-216	78	6	(	(	PUNCT
ma-216	78	7	2	2	X
ma-216	78	8	)	)	PUNCT
ma-216	78	9	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	78	10	eur	eur	PROPN
ma-216	78	11	.	.	PUNCT
ma-216	79	1	j.	j.	PROPN
ma-216	79	2	math	math	PROPN
ma-216	79	3	.	.	PUNCT
ma-216	80	1	anal	anal	PROPN
ma-216	80	2	.	.	PUNCT
ma-216	81	1	10.28924	10.28924	NUM
ma-216	81	2	/	/	SYM
ma-216	81	3	ada	ada	PROPN
ma-216	81	4	/	/	SYM
ma-216	81	5	ma.4.7	ma.4.7	NOUN
ma-216	81	6	4	4	NUM
ma-216	81	7	λh	λh	VERB
ma-216	81	8	=	=	PUNCT
ma-216	81	9	bβhim	bβhim	PROPN
ma-216	81	10	nh	nh	PROPN
ma-216	81	11	and	and	CCONJ
ma-216	81	12	λm	λm	X
ma-216	81	13	=	=	SYM
ma-216	81	14	bβmih	bβmih	PROPN
ma-216	81	15	nh	nh	PROPN
ma-216	81	16	are	be	AUX
ma-216	81	17	respectively	respectively	ADV
ma-216	81	18	the	the	DET
ma-216	81	19	forces	force	NOUN
ma-216	81	20	of	of	ADP
ma-216	81	21	infection	infection	NOUN
ma-216	81	22	for	for	ADP
ma-216	81	23	the	the	DET
ma-216	81	24	human	human	ADJ
ma-216	81	25	and	and	CCONJ
ma-216	81	26	femaleanopheles	femaleanophele	NOUN
ma-216	81	27	mosquitoes	mosquito	NOUN
ma-216	81	28	.	.	PUNCT
ma-216	82	1	the	the	DET
ma-216	82	2	schematic	schematic	ADJ
ma-216	82	3	diagram	diagram	NOUN
ma-216	82	4	(	(	PUNCT
ma-216	82	5	figure	figure	NOUN
ma-216	82	6	1	1	NUM
ma-216	82	7	)	)	PUNCT
ma-216	82	8	describes	describe	VERB
ma-216	82	9	the	the	DET
ma-216	82	10	transmission	transmission	NOUN
ma-216	82	11	dynamics	dynamic	NOUN
ma-216	82	12	ofmalaria	ofmalaria	NOUN
ma-216	82	13	in	in	ADP
ma-216	82	14	an	an	DET
ma-216	82	15	interacting	interact	VERB
ma-216	82	16	human	human	ADJ
ma-216	82	17	and	and	CCONJ
ma-216	82	18	mosquito	mosquito	ADJ
ma-216	82	19	populations	population	NOUN
ma-216	82	20	.	.	PUNCT
ma-216	83	1	the	the	DET
ma-216	83	2	model	model	NOUN
ma-216	83	3	parameters	parameter	NOUN
ma-216	83	4	are	be	AUX
ma-216	83	5	presentedin	presentedin	VERB
ma-216	83	6	table	table	NOUN
ma-216	83	7	(	(	PUNCT
ma-216	83	8	1	1	NUM
ma-216	83	9	)	)	PUNCT
ma-216	83	10	.	.	PUNCT
ma-216	84	1	table	table	NOUN
ma-216	84	2	1	1	NUM
ma-216	84	3	.	.	PUNCT
ma-216	85	1	parameter	parameter	NOUN
ma-216	85	2	description	description	NOUN
ma-216	85	3	with	with	ADP
ma-216	85	4	their	their	PRON
ma-216	85	5	values	value	NOUN
ma-216	85	6	and	and	CCONJ
ma-216	85	7	sources	source	NOUN
ma-216	85	8	parameter	parameter	VERB
ma-216	85	9	description	description	NOUN
ma-216	85	10	value[range	value[range	NOUN
ma-216	85	11	]	]	X
ma-216	85	12	reference	reference	NOUN
ma-216	85	13	unit	unit	NOUN
ma-216	85	14	πh	πh	ADP
ma-216	85	15	human	human	PROPN
ma-216	85	16	recruitment	recruitment	NOUN
ma-216	85	17	rate	rate	NOUN
ma-216	85	18	0.03	0.03	NUM
ma-216	85	19	[	[	X
ma-216	85	20	11	11	NUM
ma-216	85	21	]	]	X
ma-216	85	22	day−1	day−1	NUM
ma-216	85	23	m	m	NOUN
ma-216	85	24	immigration	immigration	NOUN
ma-216	85	25	rate	rate	NOUN
ma-216	85	26	of	of	ADP
ma-216	85	27	human	human	ADJ
ma-216	85	28	0.001	0.001	NUM
ma-216	85	29	[	[	X
ma-216	85	30	11	11	NUM
ma-216	85	31	]	]	X
ma-216	85	32	day−1	day−1	PROPN
ma-216	85	33	p1	p1	NOUN
ma-216	85	34	immigration	immigration	NOUN
ma-216	85	35	rate	rate	NOUN
ma-216	85	36	of	of	ADP
ma-216	85	37	exposed	expose	VERB
ma-216	85	38	humans	human	NOUN
ma-216	85	39	0.2	0.2	NUM
ma-216	86	1	[	[	X
ma-216	86	2	11	11	NUM
ma-216	86	3	,	,	PUNCT
ma-216	86	4	16	16	NUM
ma-216	86	5	]	]	PUNCT
ma-216	86	6	day−1	day−1	PROPN
ma-216	86	7	p2	p2	PROPN
ma-216	86	8	immigration	immigration	NOUN
ma-216	86	9	rate	rate	NOUN
ma-216	86	10	of	of	ADP
ma-216	86	11	infected	infected	ADJ
ma-216	86	12	humans	human	NOUN
ma-216	86	13	0.2	0.2	NUM
ma-216	87	1	[	[	X
ma-216	87	2	11	11	NUM
ma-216	87	3	,	,	PUNCT
ma-216	87	4	16	16	NUM
ma-216	87	5	]	]	PUNCT
ma-216	88	1	day−1	day−1	INTJ
ma-216	88	2	µh	µh	ADP
ma-216	88	3	natural	natural	ADJ
ma-216	88	4	mortality	mortality	NOUN
ma-216	88	5	rate	rate	NOUN
ma-216	88	6	of	of	ADP
ma-216	88	7	human	human	ADJ
ma-216	88	8	1/21900	1/21900	PROPN
ma-216	89	1	[	[	X
ma-216	89	2	11	11	NUM
ma-216	89	3	]	]	X
ma-216	90	1	day−1	day−1	INTJ
ma-216	90	2	βh	βh	INTJ
ma-216	90	3	probability	probability	NOUN
ma-216	90	4	of	of	ADP
ma-216	90	5	transmission	transmission	NOUN
ma-216	90	6	of	of	ADP
ma-216	90	7	infectionsfrom	infectionsfrom	ADJ
ma-216	90	8	an	an	DET
ma-216	90	9	infectious	infectious	ADJ
ma-216	90	10	human	human	NOUN
ma-216	90	11	to	to	ADP
ma-216	90	12	a	a	DET
ma-216	90	13	0.00021	0.00021	NUM
ma-216	90	14	[	[	X
ma-216	90	15	11	11	NUM
ma-216	90	16	]	]	SYM
ma-216	90	17	-susceptible	-susceptible	ADJ
ma-216	90	18	mosquito	mosquito	NOUN
ma-216	90	19	(	(	PUNCT
ma-216	90	20	vector	vector	NOUN
ma-216	90	21	)	)	PUNCT
ma-216	90	22	γ	γ	NOUN
ma-216	90	23	progression	progression	NOUN
ma-216	90	24	rate	rate	NOUN
ma-216	90	25	from	from	ADP
ma-216	90	26	exposed	expose	VERB
ma-216	90	27	humans	human	NOUN
ma-216	90	28	1/20	1/20	NUM
ma-216	91	1	[	[	X
ma-216	91	2	11	11	NUM
ma-216	91	3	]	]	X
ma-216	91	4	day−1to	day−1to	PROPN
ma-216	91	5	infected	infect	VERB
ma-216	91	6	humans	human	NOUN
ma-216	91	7	ω	ω	NUM
ma-216	91	8	progression	progression	NOUN
ma-216	91	9	rate	rate	NOUN
ma-216	91	10	from	from	ADP
ma-216	91	11	exposed	expose	VERB
ma-216	91	12	humans	human	NOUN
ma-216	91	13	0.055	0.055	NUM
ma-216	91	14	[	[	X
ma-216	91	15	16	16	NUM
ma-216	91	16	]	]	X
ma-216	91	17	day−1to	day−1to	PROPN
ma-216	91	18	recovered	recover	VERB
ma-216	91	19	humans	human	NOUN
ma-216	91	20	τ	τ	PROPN
ma-216	91	21	progression	progression	NOUN
ma-216	91	22	rate	rate	NOUN
ma-216	91	23	from	from	ADP
ma-216	91	24	infected	infected	ADJ
ma-216	91	25	humans	human	NOUN
ma-216	92	1	1/30	1/30	NUM
ma-216	92	2	[	[	X
ma-216	92	3	11	11	NUM
ma-216	92	4	]	]	X
ma-216	92	5	day−1to	day−1to	PROPN
ma-216	92	6	recovered	recover	VERB
ma-216	92	7	humans	human	NOUN
ma-216	92	8	ϕ	ϕ	NOUN
ma-216	92	9	progression	progression	NOUN
ma-216	92	10	rate	rate	NOUN
ma-216	92	11	from	from	ADP
ma-216	92	12	recovered	recover	VERB
ma-216	92	13	humans	human	NOUN
ma-216	92	14	1/(20×	1/(20×	PROPN
ma-216	92	15	365	365	NUM
ma-216	92	16	)	)	PUNCT
ma-216	93	1	[	[	X
ma-216	93	2	11	11	NUM
ma-216	93	3	]	]	X
ma-216	93	4	day−1to	day−1to	PROPN
ma-216	93	5	susceptible	susceptible	ADJ
ma-216	93	6	humans	human	NOUN
ma-216	93	7	δ	δ	PROPN
ma-216	93	8	malaria	malaria	NOUN
ma-216	93	9	induced	induce	VERB
ma-216	93	10	death	death	NOUN
ma-216	93	11	for	for	ADP
ma-216	93	12	humans	human	NOUN
ma-216	93	13	0.001	0.001	NUM
ma-216	93	14	[	[	X
ma-216	93	15	11	11	NUM
ma-216	93	16	]	]	X
ma-216	94	1	day−1	day−1	INTJ
ma-216	94	2	πm	πm	ADP
ma-216	94	3	anopheles	anophele	NOUN
ma-216	94	4	mosquito	mosquito	VERB
ma-216	94	5	egg	egg	NOUN
ma-216	94	6	deposition	deposition	NOUN
ma-216	94	7	rate	rate	NOUN
ma-216	94	8	6	6	NUM
ma-216	94	9	[	[	X
ma-216	94	10	17,18	17,18	X
ma-216	94	11	]	]	X
ma-216	94	12	day−1	day−1	PROPN
ma-216	94	13	k	k	NOUN
ma-216	94	14	carrying	carry	VERB
ma-216	94	15	capacity	capacity	NOUN
ma-216	94	16	for	for	ADP
ma-216	94	17	immature	immature	ADJ
ma-216	94	18	mosquitoes	mosquito	NOUN
ma-216	94	19	40000	40000	NUM
ma-216	94	20	[	[	SYM
ma-216	94	21	18	18	NUM
ma-216	94	22	]	]	PUNCT
ma-216	94	23	space	space	NOUN
ma-216	94	24	b	b	NOUN
ma-216	94	25	female	female	ADJ
ma-216	94	26	anopheles	anophele	NOUN
ma-216	94	27	mosquito	mosquito	VERB
ma-216	94	28	biting	bite	VERB
ma-216	94	29	rate	rate	NOUN
ma-216	94	30	0.94[0.1	0.94[0.1	NOUN
ma-216	94	31	-	-	SYM
ma-216	94	32	1	1	NUM
ma-216	94	33	]	]	PUNCT
ma-216	95	1	[	[	X
ma-216	95	2	18	18	NUM
ma-216	95	3	]	]	X
ma-216	95	4	day−1	day−1	INTJ
ma-216	95	5	βm	βm	VERB
ma-216	95	6	probability	probability	NOUN
ma-216	95	7	of	of	ADP
ma-216	95	8	transmission	transmission	NOUN
ma-216	95	9	ofinfections	ofinfection	NOUN
ma-216	95	10	from	from	ADP
ma-216	95	11	an	an	DET
ma-216	95	12	infected	infected	ADJ
ma-216	95	13	0.00021	0.00021	NUM
ma-216	95	14	[	[	X
ma-216	95	15	11	11	NUM
ma-216	95	16	]	]	SYM
ma-216	95	17	-anopheles	-anophele	NOUN
ma-216	95	18	mosquito	mosquito	ADJ
ma-216	95	19	to	to	ADP
ma-216	95	20	a	a	DET
ma-216	95	21	susceptible	susceptible	ADJ
ma-216	95	22	human	human	ADJ
ma-216	95	23	ψ	ψ	NOUN
ma-216	95	24	maturity	maturity	NOUN
ma-216	95	25	rate	rate	NOUN
ma-216	95	26	of	of	ADP
ma-216	95	27	immature	immature	ADJ
ma-216	95	28	mosquitoes	mosquito	NOUN
ma-216	95	29	0.08	0.08	NUM
ma-216	95	30	[	[	X
ma-216	95	31	19	19	NUM
ma-216	95	32	]	]	PUNCT
ma-216	95	33	day−1	day−1	PROPN
ma-216	95	34	σ	σ	PROPN
ma-216	95	35	progression	progression	NOUN
ma-216	95	36	rate	rate	NOUN
ma-216	95	37	from	from	ADP
ma-216	95	38	exposed	expose	VERB
ma-216	95	39	mosquitoesto	mosquitoesto	ADJ
ma-216	95	40	infected	infect	VERB
ma-216	95	41	mosquitoes	mosquito	NOUN
ma-216	95	42	0.091	0.091	NUM
ma-216	95	43	[	[	X
ma-216	95	44	18	18	NUM
ma-216	95	45	]	]	PUNCT
ma-216	95	46	day−1	day−1	PROPN
ma-216	95	47	µm	µm	ADP
ma-216	95	48	natural	natural	ADJ
ma-216	95	49	mortality	mortality	NOUN
ma-216	95	50	rate	rate	NOUN
ma-216	95	51	of	of	ADP
ma-216	95	52	adult	adult	NOUN
ma-216	95	53	mosquitoes	mosquito	NOUN
ma-216	95	54	0.11346	0.11346	NUM
ma-216	96	1	[	[	X
ma-216	96	2	17	17	NUM
ma-216	96	3	]	]	X
ma-216	97	1	day−1	day−1	PROPN
ma-216	97	2	µa	µa	ADP
ma-216	97	3	natural	natural	ADJ
ma-216	97	4	mortality	mortality	NOUN
ma-216	97	5	rate	rate	NOUN
ma-216	97	6	of	of	ADP
ma-216	97	7	immature	immature	ADJ
ma-216	97	8	mosquito	mosquito	NOUN
ma-216	97	9	0.1042	0.1042	NUM
ma-216	97	10	[	[	X
ma-216	97	11	18,19	18,19	X
ma-216	97	12	]	]	X
ma-216	97	13	day−1	day−1	PROPN
ma-216	97	14	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	97	15	eur	eur	PROPN
ma-216	97	16	.	.	PUNCT
ma-216	98	1	j.	j.	PROPN
ma-216	98	2	math	math	PROPN
ma-216	98	3	.	.	PUNCT
ma-216	99	1	anal	anal	PROPN
ma-216	99	2	.	.	PUNCT
ma-216	100	1	10.28924	10.28924	NUM
ma-216	100	2	/	/	SYM
ma-216	100	3	ada	ada	PROPN
ma-216	100	4	/	/	SYM
ma-216	100	5	ma.4.7	ma.4.7	ADJ
ma-216	100	6	5	5	NUM
ma-216	100	7	figure	figure	NOUN
ma-216	100	8	1	1	NUM
ma-216	100	9	.	.	PUNCT
ma-216	100	10	schematic	schematic	ADJ
ma-216	100	11	diagram	diagram	NOUN
ma-216	100	12	for	for	ADP
ma-216	100	13	malaria	malaria	NOUN
ma-216	100	14	transmission	transmission	NOUN
ma-216	100	15	dynamics	dynamic	NOUN
ma-216	100	16	with	with	ADP
ma-216	100	17	human	human	ADJ
ma-216	100	18	immi	immi	NOUN
ma-216	100	19	-	-	PUNCT
ma-216	100	20	grants	grant	NOUN
ma-216	100	21	based	base	VERB
ma-216	100	22	on	on	ADP
ma-216	100	23	figure	figure	NOUN
ma-216	100	24	1	1	NUM
ma-216	100	25	,	,	PUNCT
ma-216	100	26	the	the	DET
ma-216	100	27	following	follow	VERB
ma-216	100	28	system	system	NOUN
ma-216	100	29	of	of	ADP
ma-216	100	30	equations	equation	NOUN
ma-216	100	31	is	be	AUX
ma-216	100	32	derived	derive	VERB
ma-216	100	33	:	:	PUNCT
ma-216	101	1			NUM
ma-216	101	2	dsh	dsh	PROPN
ma-216	101	3	dt	dt	NOUN
ma-216	102	1	=	=	NOUN
ma-216	102	2	πh	πh	PROPN
ma-216	102	3	+	+	CCONJ
ma-216	102	4	(	(	PUNCT
ma-216	102	5	1−	1−	NUM
ma-216	102	6	p1	p1	NOUN
ma-216	102	7	−	−	PROPN
ma-216	102	8	p2)m	p2)m	NOUN
ma-216	102	9	+	+	CCONJ
ma-216	102	10	ϕrh	ϕrh	INTJ
ma-216	102	11	−	−	PROPN
ma-216	102	12	(	(	PUNCT
ma-216	102	13	λh	λh	ADP
ma-216	102	14	+	+	CCONJ
ma-216	102	15	µh)sh	µh)sh	DET
ma-216	102	16	deh	deh	NOUN
ma-216	102	17	dt	dt	NOUN
ma-216	103	1	=	=	PUNCT
ma-216	103	2	p1	p1	PROPN
ma-216	103	3	m	m	PROPN
ma-216	103	4	+	+	X
ma-216	103	5	λhsh	λhsh	ADJ
ma-216	103	6	−	−	PROPN
ma-216	103	7	g0eh	g0eh	ADV
ma-216	103	8	dih	dih	PROPN
ma-216	103	9	dt	dt	NOUN
ma-216	103	10	=	=	PUNCT
ma-216	103	11	p2	p2	PROPN
ma-216	103	12	m	m	VERB
ma-216	103	13	+	+	NOUN
ma-216	103	14	γeh	γeh	NOUN
ma-216	103	15	−	−	PROPN
ma-216	103	16	g1ih	g1ih	PROPN
ma-216	103	17	drh	drh	PROPN
ma-216	103	18	dt	dt	NOUN
ma-216	103	19	=	=	PUNCT
ma-216	103	20	τih	τih	PROPN
ma-216	103	21	+	+	CCONJ
ma-216	103	22	ωeh	ωeh	PROPN
ma-216	103	23	−	−	PROPN
ma-216	103	24	g2rh	g2rh	X
ma-216	103	25	dam	dam	NOUN
ma-216	103	26	dt	dt	NOUN
ma-216	103	27	=	=	SYM
ma-216	103	28	πm	πm	X
ma-216	103	29	(	(	PUNCT
ma-216	103	30	1−	1−	NUM
ma-216	103	31	am	am	NOUN
ma-216	103	32	k	k	PROPN
ma-216	103	33	)	)	PUNCT
ma-216	103	34	(	(	PUNCT
ma-216	103	35	sm	sm	INTJ
ma-216	104	1	+	+	CCONJ
ma-216	104	2	em	em	PRON
ma-216	105	1	+	+	CCONJ
ma-216	105	2	im)−	im)−	ADJ
ma-216	105	3	g3am	g3am	X
ma-216	105	4	dsm	dsm	PROPN
ma-216	105	5	dt	dt	NOUN
ma-216	105	6	=	=	PUNCT
ma-216	105	7	ψam	ψam	ADJ
ma-216	105	8	−	−	PROPN
ma-216	105	9	(	(	PUNCT
ma-216	105	10	λm	λm	ADP
ma-216	105	11	+	+	CCONJ
ma-216	105	12	µm)sm	µm)sm	ADV
ma-216	105	13	dem	dem	ADJ
ma-216	105	14	dt	dt	X
ma-216	105	15	=	=	PUNCT
ma-216	105	16	λmsm	λmsm	PROPN
ma-216	105	17	−	−	PROPN
ma-216	105	18	g4em	g4em	PUNCT
ma-216	105	19	dim	dim	ADJ
ma-216	105	20	dt	dt	NOUN
ma-216	105	21	=	=	PUNCT
ma-216	105	22	σem	σem	NOUN
ma-216	105	23	−	−	PROPN
ma-216	105	24	µmim	µmim	NOUN
ma-216	105	25	(	(	PUNCT
ma-216	105	26	3	3	NUM
ma-216	105	27	)	)	PUNCT
ma-216	105	28	where	where	SCONJ
ma-216	105	29	:	:	PUNCT
ma-216	105	30	g0	g0	NOUN
ma-216	105	31	=	=	SYM
ma-216	105	32	(	(	PUNCT
ma-216	105	33	ω+γ+µh	ω+γ+µh	PROPN
ma-216	105	34	)	)	PUNCT
ma-216	105	35	,	,	PUNCT
ma-216	105	36	g1	g1	PROPN
ma-216	105	37	=	=	SYM
ma-216	105	38	(	(	PUNCT
ma-216	105	39	τ+δ+µh	τ+δ+µh	NOUN
ma-216	105	40	)	)	PUNCT
ma-216	105	41	,	,	PUNCT
ma-216	105	42	g2	g2	PROPN
ma-216	105	43	=	=	PRON
ma-216	105	44	(	(	PUNCT
ma-216	105	45	ϕ+µh	ϕ+µh	NOUN
ma-216	105	46	)	)	PUNCT
ma-216	105	47	,	,	PUNCT
ma-216	105	48	g3	g3	NOUN
ma-216	105	49	=	=	SYM
ma-216	105	50	(	(	PUNCT
ma-216	105	51	ψ+µa	ψ+µa	ADJ
ma-216	105	52	)	)	PUNCT
ma-216	105	53	and	and	CCONJ
ma-216	105	54	g4	g4	NOUN
ma-216	105	55	=	=	SYM
ma-216	105	56	(	(	PUNCT
ma-216	105	57	σ+µm	σ+µm	X
ma-216	105	58	)	)	PUNCT
ma-216	105	59	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	105	60	eur	eur	PROPN
ma-216	105	61	.	.	PUNCT
ma-216	106	1	j.	j.	PROPN
ma-216	106	2	math	math	PROPN
ma-216	106	3	.	.	PUNCT
ma-216	107	1	anal	anal	PROPN
ma-216	107	2	.	.	PUNCT
ma-216	108	1	10.28924	10.28924	NUM
ma-216	108	2	/	/	SYM
ma-216	108	3	ada	ada	PROPN
ma-216	108	4	/	/	SYM
ma-216	108	5	ma.4.7	ma.4.7	PROPN
ma-216	108	6	62.1	62.1	NUM
ma-216	108	7	.	.	PUNCT
ma-216	109	1	boundedness	boundedness	NOUN
ma-216	109	2	of	of	ADP
ma-216	109	3	solution	solution	NOUN
ma-216	109	4	.	.	PUNCT
ma-216	110	1	theorem	theorem	NOUN
ma-216	110	2	1	1	NUM
ma-216	110	3	.	.	X
ma-216	110	4	for	for	ADP
ma-216	110	5	non	non	ADJ
ma-216	110	6	-	-	ADJ
ma-216	110	7	negative	negative	ADJ
ma-216	110	8	initial	initial	ADJ
ma-216	110	9	values	value	NOUN
ma-216	110	10	sh(0	sh(0	NOUN
ma-216	110	11	)	)	PUNCT
ma-216	110	12	,	,	PUNCT
ma-216	110	13	eh(0	eh(0	NOUN
ma-216	110	14	)	)	PUNCT
ma-216	110	15	,	,	PUNCT
ma-216	110	16	ih(0	ih(0	NOUN
ma-216	110	17	)	)	PUNCT
ma-216	110	18	,	,	PUNCT
ma-216	110	19	th(0	th(0	NOUN
ma-216	110	20	)	)	PUNCT
ma-216	110	21	,	,	PUNCT
ma-216	110	22	am(0	am(0	NOUN
ma-216	110	23	)	)	PUNCT
ma-216	110	24	,	,	PUNCT
ma-216	110	25	sm(0	sm(0	NOUN
ma-216	110	26	)	)	PUNCT
ma-216	110	27	and	and	CCONJ
ma-216	110	28	im(0	im(0	PROPN
ma-216	110	29	)	)	PUNCT
ma-216	110	30	of	of	ADP
ma-216	110	31	system	system	NOUN
ma-216	110	32	(	(	PUNCT
ma-216	110	33	3	3	NUM
ma-216	110	34	)	)	PUNCT
ma-216	110	35	,	,	PUNCT
ma-216	110	36	each	each	DET
ma-216	110	37	element	element	NOUN
ma-216	110	38	of	of	ADP
ma-216	110	39	the	the	DET
ma-216	110	40	solution	solution	NOUN
ma-216	110	41	set	set	VERB
ma-216	110	42	{	{	PUNCT
ma-216	110	43	sh(t	sh(t	X
ma-216	110	44	)	)	PUNCT
ma-216	110	45	,	,	PUNCT
ma-216	110	46	eh(t	eh(t	NOUN
ma-216	110	47	)	)	PUNCT
ma-216	110	48	,	,	PUNCT
ma-216	110	49	ih(t	ih(t	X
ma-216	110	50	)	)	PUNCT
ma-216	110	51	,	,	PUNCT
ma-216	110	52	th(t	th(t	NUM
ma-216	110	53	)	)	PUNCT
ma-216	110	54	,	,	PUNCT
ma-216	110	55	am(t	am(t	NOUN
ma-216	110	56	)	)	PUNCT
ma-216	110	57	,	,	PUNCT
ma-216	110	58	sm(t	sm(t	NOUN
ma-216	110	59	)	)	PUNCT
ma-216	110	60	im(t	im(t	VERB
ma-216	110	61	)	)	PUNCT
ma-216	110	62	}	}	PUNCT
ma-216	110	63	is	be	AUX
ma-216	110	64	non	non	ADJ
ma-216	110	65	-	-	ADJ
ma-216	110	66	negative	negative	ADJ
ma-216	110	67	and	and	CCONJ
ma-216	110	68	bounded	bound	VERB
ma-216	110	69	∀	∀	PUNCT
ma-216	110	70	t	t	PROPN
ma-216	110	71	≥	≥	NOUN
ma-216	110	72	0	0	NUM
ma-216	110	73	.	.	PUNCT
ma-216	111	1	proof	proof	NOUN
ma-216	111	2	.	.	PUNCT
ma-216	112	1	considering	consider	VERB
ma-216	112	2	the	the	DET
ma-216	112	3	first	first	ADJ
ma-216	112	4	differential	differential	ADJ
ma-216	112	5	equation	equation	NOUN
ma-216	112	6	in	in	ADP
ma-216	112	7	system	system	NOUN
ma-216	112	8	(	(	PUNCT
ma-216	112	9	3	3	NUM
ma-216	112	10	):	):	PUNCT
ma-216	112	11	dsh	dsh	ADJ
ma-216	112	12	dt	dt	NOUN
ma-216	112	13	=	=	PUNCT
ma-216	112	14	πh	πh	PROPN
ma-216	112	15	+	+	CCONJ
ma-216	112	16	(	(	PUNCT
ma-216	112	17	1−	1−	NUM
ma-216	112	18	p1	p1	NOUN
ma-216	112	19	−	−	PROPN
ma-216	112	20	p2)m	p2)m	NOUN
ma-216	112	21	+	+	CCONJ
ma-216	112	22	ϕrh	ϕrh	INTJ
ma-216	112	23	−	−	PROPN
ma-216	112	24	(	(	PUNCT
ma-216	112	25	λh	λh	ADP
ma-216	112	26	+	+	CCONJ
ma-216	112	27	µh)sh	µh)sh	X
ma-216	112	28	(	(	PUNCT
ma-216	112	29	4	4	NUM
ma-216	112	30	)	)	PUNCT
ma-216	113	1	=	=	NOUN
ma-216	113	2	⇒	⇒	X
ma-216	113	3	dsh	dsh	PROPN
ma-216	113	4	dt	dt	X
ma-216	113	5	≥	≥	NOUN
ma-216	113	6	−(λh	−(λh	PROPN
ma-216	113	7	+	+	CCONJ
ma-216	113	8	µh)sh	µh)sh	PROPN
ma-216	113	9	=	=	NOUN
ma-216	113	10	⇒	⇒	NOUN
ma-216	113	11	∫	∫	PROPN
ma-216	113	12	1	1	NUM
ma-216	113	13	sh	sh	PROPN
ma-216	113	14	dsh	dsh	PROPN
ma-216	113	15	≥	≥	NOUN
ma-216	113	16	−	−	PROPN
ma-216	113	17	∫	∫	PROPN
ma-216	113	18	(	(	PUNCT
ma-216	113	19	λh	λh	ADP
ma-216	113	20	+	+	CCONJ
ma-216	113	21	µh)dt	µh)dt	PUNCT
ma-216	113	22	=	=	NOUN
ma-216	113	23	⇒	⇒	NOUN
ma-216	113	24	sh(t	sh(t	NUM
ma-216	113	25	)	)	PUNCT
ma-216	113	26	≥	≥	AUX
ma-216	113	27	sh(0)e−(µht+	sh(0)e−(µht+	PROPN
ma-216	113	28	∫	∫	NOUN
ma-216	113	29	t	t	PROPN
ma-216	113	30	0	0	NUM
ma-216	113	31	λh(x)dx	λh(x)dx	NOUN
ma-216	113	32	)	)	PUNCT
ma-216	113	33	≥	≥	NOUN
ma-216	113	34	0similarly	0similarly	ADV
ma-216	113	35	:	:	PUNCT
ma-216	113	36	deh	deh	NOUN
ma-216	113	37	dt	dt	NOUN
ma-216	113	38	=	=	PUNCT
ma-216	113	39	p1	p1	PROPN
ma-216	113	40	m	m	PROPN
ma-216	113	41	+	+	X
ma-216	113	42	λhsh	λhsh	ADJ
ma-216	113	43	−	−	NOUN
ma-216	113	44	g0eh	g0eh	X
ma-216	113	45	=	=	VERB
ma-216	113	46	⇒	⇒	NOUN
ma-216	113	47	eh(t	eh(t	PUNCT
ma-216	113	48	)	)	PUNCT
ma-216	113	49	≥	≥	PUNCT
ma-216	114	1	eh(0)e−g0	eh(0)e−g0	PROPN
ma-216	114	2	t	t	PROPN
ma-216	114	3	≥	≥	X
ma-216	114	4	0	0	NUM
ma-216	115	1	dih	dih	PROPN
ma-216	115	2	dt	dt	NOUN
ma-216	115	3	=	=	PUNCT
ma-216	115	4	p2	p2	PROPN
ma-216	115	5	m	m	VERB
ma-216	115	6	+	+	NOUN
ma-216	115	7	γeh	γeh	NOUN
ma-216	115	8	−	−	NOUN
ma-216	115	9	g1ih	g1ih	NOUN
ma-216	115	10	=	=	X
ma-216	115	11	⇒	⇒	NOUN
ma-216	115	12	ih(t	ih(t	NUM
ma-216	115	13	)	)	PUNCT
ma-216	115	14	≥	≥	NOUN
ma-216	115	15	ih(0)e−g1	ih(0)e−g1	PROPN
ma-216	115	16	t	t	PROPN
ma-216	115	17	≥	≥	X
ma-216	115	18	0	0	PUNCT
ma-216	115	19	drh	drh	PROPN
ma-216	115	20	dt	dt	NOUN
ma-216	115	21	=	=	PUNCT
ma-216	115	22	ωeh	ωeh	PROPN
ma-216	115	23	+	+	CCONJ
ma-216	115	24	τih	τih	NOUN
ma-216	115	25	−	−	NOUN
ma-216	115	26	g2)rh	g2)rh	NOUN
ma-216	115	27	=	=	NOUN
ma-216	115	28	⇒	⇒	NOUN
ma-216	115	29	rh(t	rh(t	ADV
ma-216	115	30	)	)	PUNCT
ma-216	115	31	≥	≥	NOUN
ma-216	115	32	rh(0)e−g2	rh(0)e−g2	PROPN
ma-216	115	33	t	t	PROPN
ma-216	115	34	≥	≥	X
ma-216	115	35	0	0	NUM
ma-216	115	36	dam	dam	NOUN
ma-216	115	37	dt	dt	NOUN
ma-216	115	38	=	=	SYM
ma-216	115	39	πm	πm	X
ma-216	115	40	(	(	PUNCT
ma-216	115	41	1−	1−	NUM
ma-216	115	42	am	am	NOUN
ma-216	115	43	k	k	PROPN
ma-216	115	44	)	)	PUNCT
ma-216	115	45	(	(	PUNCT
ma-216	115	46	sm	sm	INTJ
ma-216	116	1	+	+	CCONJ
ma-216	116	2	em	em	PRON
ma-216	117	1	+	+	CCONJ
ma-216	117	2	im)−	im)−	ADJ
ma-216	117	3	g3am	g3am	X
ma-216	117	4	=	=	X
ma-216	117	5	⇒	⇒	NOUN
ma-216	117	6	am(t	am(t	NOUN
ma-216	117	7	)	)	PUNCT
ma-216	117	8	≥	≥	X
ma-216	117	9	am(0)e−g3	am(0)e−g3	X
ma-216	117	10	t	t	PROPN
ma-216	117	11	≥	≥	X
ma-216	117	12	0	0	NUM
ma-216	117	13	dsm	dsm	PROPN
ma-216	117	14	dt	dt	NOUN
ma-216	117	15	=	=	PUNCT
ma-216	117	16	ψam	ψam	ADJ
ma-216	117	17	−	−	PROPN
ma-216	117	18	(	(	PUNCT
ma-216	117	19	λm	λm	ADP
ma-216	118	1	+	+	CCONJ
ma-216	118	2	µm)sm	µm)sm	SYM
ma-216	118	3	=	=	VERB
ma-216	118	4	⇒	⇒	NOUN
ma-216	118	5	sm(t	sm(t	PROPN
ma-216	118	6	)	)	PUNCT
ma-216	118	7	≥	≥	PRON
ma-216	119	1	sm(0)e−(µmt+	sm(0)e−(µmt+	PROPN
ma-216	119	2	∫	∫	NOUN
ma-216	119	3	t	t	PROPN
ma-216	119	4	0	0	NUM
ma-216	119	5	λm(x)dx	λm(x)dx	ADJ
ma-216	119	6	)	)	PUNCT
ma-216	119	7	≥	≥	NOUN
ma-216	119	8	0	0	NUM
ma-216	119	9	dem	dem	NOUN
ma-216	119	10	dt	dt	X
ma-216	119	11	=	=	PUNCT
ma-216	119	12	λmsm	λmsm	PROPN
ma-216	120	1	−	−	PROPN
ma-216	120	2	g4em	g4em	PUNCT
ma-216	121	1	=	=	X
ma-216	121	2	⇒	⇒	NOUN
ma-216	121	3	sm(t	sm(t	PROPN
ma-216	121	4	)	)	PUNCT
ma-216	121	5	≥	≥	PROPN
ma-216	121	6	sm(0)e−g4	sm(0)e−g4	PROPN
ma-216	121	7	t	t	PROPN
ma-216	121	8	≥	≥	X
ma-216	121	9	0	0	NUM
ma-216	122	1	dim	dim	ADJ
ma-216	122	2	dt	dt	NOUN
ma-216	122	3	=	=	PUNCT
ma-216	122	4	λmsm	λmsm	X
ma-216	122	5	−	−	PROPN
ma-216	122	6	µmim	µmim	NOUN
ma-216	122	7	=	=	NOUN
ma-216	122	8	⇒	⇒	NOUN
ma-216	122	9	im(t	im(t	NUM
ma-216	122	10	)	)	PUNCT
ma-216	122	11	≥	≥	PROPN
ma-216	123	1	im(0)e−µmt	im(0)e−µmt	PROPN
ma-216	123	2	≥	≥	NOUN
ma-216	123	3	0	0	NUM
ma-216	123	4	therefore	therefore	ADV
ma-216	123	5	,	,	PUNCT
ma-216	123	6	for	for	ADP
ma-216	123	7	∀	∀	NOUN
ma-216	123	8	t	t	PROPN
ma-216	123	9	≥	≥	PROPN
ma-216	123	10	0	0	NUM
ma-216	123	11	,	,	PUNCT
ma-216	123	12	the	the	DET
ma-216	123	13	state	state	NOUN
ma-216	123	14	variables	variable	NOUN
ma-216	123	15	of	of	ADP
ma-216	123	16	the	the	DET
ma-216	123	17	model	model	NOUN
ma-216	123	18	have	have	VERB
ma-216	123	19	non	non	ADJ
ma-216	123	20	-	-	ADJ
ma-216	123	21	negative	negative	ADJ
ma-216	123	22	solutions	solution	NOUN
ma-216	123	23	.	.	PUNCT
ma-216	124	1	2.2	2.2	NUM
ma-216	124	2	.	.	PUNCT
ma-216	124	3	invariant	invariant	ADJ
ma-216	124	4	region	region	NOUN
ma-216	124	5	.	.	PUNCT
ma-216	125	1	this	this	DET
ma-216	125	2	section	section	NOUN
ma-216	125	3	is	be	AUX
ma-216	125	4	dedicated	dedicate	VERB
ma-216	125	5	to	to	ADP
ma-216	125	6	finding	find	VERB
ma-216	125	7	the	the	DET
ma-216	125	8	region	region	NOUN
ma-216	125	9	over	over	ADP
ma-216	125	10	which	which	PRON
ma-216	125	11	the	the	DET
ma-216	125	12	solution	solution	NOUN
ma-216	125	13	setof	setof	VERB
ma-216	125	14	our	our	PRON
ma-216	125	15	malaria	malaria	NOUN
ma-216	125	16	model	model	NOUN
ma-216	125	17	system	system	NOUN
ma-216	125	18	of	of	ADP
ma-216	125	19	equations	equation	NOUN
ma-216	125	20	is	be	AUX
ma-216	125	21	well	well	ADV
ma-216	125	22	posed	pose	VERB
ma-216	125	23	.	.	PUNCT
ma-216	126	1	theorem	theorem	NOUN
ma-216	126	2	2	2	NUM
ma-216	126	3	.	.	PUNCT
ma-216	127	1	the	the	DET
ma-216	127	2	feasible	feasible	ADJ
ma-216	127	3	region	region	NOUN
ma-216	127	4	in	in	ADP
ma-216	127	5	which	which	PRON
ma-216	127	6	the	the	DET
ma-216	127	7	solution	solution	NOUN
ma-216	127	8	set	set	VERB
ma-216	127	9	of	of	ADP
ma-216	127	10	the	the	DET
ma-216	127	11	model	model	NOUN
ma-216	127	12	system	system	NOUN
ma-216	127	13	of	of	ADP
ma-216	127	14	equations	equation	NOUN
ma-216	127	15	make	make	VERB
ma-216	127	16	biological	biological	ADJ
ma-216	127	17	sense	sense	NOUN
ma-216	127	18	is	be	AUX
ma-216	127	19	the	the	DET
ma-216	127	20	set	set	NOUN
ma-216	127	21	;	;	PUNCT
ma-216	127	22	d	d	X
ma-216	127	23	=	=	SYM
ma-216	127	24	dh	dh	PROPN
ma-216	127	25	×dm	×dm	PROPN
ma-216	127	26	⊂	⊂	PROPN
ma-216	127	27	r4	r4	PROPN
ma-216	127	28	+	+	CCONJ
ma-216	127	29	×	×	NOUN
ma-216	127	30	r4	r4	NOUN
ma-216	127	31	+	+	CCONJ
ma-216	127	32	(	(	PUNCT
ma-216	127	33	5	5	NUM
ma-216	127	34	)	)	PUNCT
ma-216	127	35	where	where	SCONJ
ma-216	127	36	dh	dh	NOUN
ma-216	127	37	=	=	PUNCT
ma-216	127	38	{	{	PUNCT
ma-216	127	39	(	(	PUNCT
ma-216	127	40	sh	sh	INTJ
ma-216	127	41	,	,	PUNCT
ma-216	127	42	eh	eh	INTJ
ma-216	127	43	,	,	PUNCT
ma-216	127	44	ih	ih	X
ma-216	127	45	,	,	PUNCT
ma-216	127	46	rh	rh	PROPN
ma-216	127	47	)	)	PUNCT
ma-216	127	48	∈	∈	PROPN
ma-216	127	49	r4	r4	PROPN
ma-216	127	50	+	+	CCONJ
ma-216	127	51	:	:	PUNCT
ma-216	127	52	sh	sh	INTJ
ma-216	128	1	+	+	CCONJ
ma-216	128	2	eh	eh	INTJ
ma-216	128	3	+	+	NUM
ma-216	128	4	ih	ih	PRON
ma-216	128	5	+	+	CCONJ
ma-216	128	6	rh	rh	PROPN
ma-216	128	7	≤	≤	NOUN
ma-216	128	8	m	m	VERB
ma-216	129	1	+	+	NUM
ma-216	129	2	πh	πh	NOUN
ma-216	129	3	µh	µh	NOUN
ma-216	129	4	}	}	PUNCT
ma-216	129	5	(	(	PUNCT
ma-216	129	6	6	6	NUM
ma-216	129	7	)	)	PUNCT
ma-216	129	8	and	and	CCONJ
ma-216	129	9	dm	dm	NOUN
ma-216	129	10	=	=	PUNCT
ma-216	129	11	{	{	PUNCT
ma-216	129	12	(	(	PUNCT
ma-216	129	13	am	am	NOUN
ma-216	129	14	,	,	PUNCT
ma-216	129	15	sm	sm	PROPN
ma-216	129	16	,	,	PUNCT
ma-216	129	17	em	em	PRON
ma-216	129	18	,	,	PUNCT
ma-216	129	19	i	i	PRON
ma-216	129	20	m	m	VERB
ma-216	129	21	)	)	PUNCT
ma-216	129	22	∈	∈	PROPN
ma-216	129	23	r4	r4	NOUN
ma-216	129	24	+	+	CCONJ
ma-216	129	25	:	:	PUNCT
ma-216	129	26	am	be	AUX
ma-216	129	27	≤	≤	ADJ
ma-216	130	1	k	k	X
ma-216	130	2	,	,	PUNCT
ma-216	130	3	sm	sm	PROPN
ma-216	131	1	+	+	CCONJ
ma-216	131	2	em	em	PRON
ma-216	132	1	+	+	CCONJ
ma-216	133	1	i	i	VERB
ma-216	133	2	m	m	VERB
ma-216	133	3	≤	≤	NOUN
ma-216	133	4	ψk	ψk	VERB
ma-216	133	5	µm	µm	ADP
ma-216	133	6	}	}	PUNCT
ma-216	133	7	(	(	PUNCT
ma-216	133	8	7	7	X
ma-216	133	9	)	)	PUNCT
ma-216	133	10	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	133	11	eur	eur	PROPN
ma-216	133	12	.	.	PUNCT
ma-216	134	1	j.	j.	PROPN
ma-216	134	2	math	math	PROPN
ma-216	134	3	.	.	PUNCT
ma-216	135	1	anal	anal	PROPN
ma-216	135	2	.	.	PUNCT
ma-216	136	1	10.28924	10.28924	NUM
ma-216	136	2	/	/	SYM
ma-216	136	3	ada	ada	PROPN
ma-216	136	4	/	/	SYM
ma-216	136	5	ma.4.7	ma.4.7	NOUN
ma-216	136	6	7	7	NUM
ma-216	136	7	proof.firstly	proof.firstly	ADV
ma-216	136	8	,	,	PUNCT
ma-216	136	9	we	we	PRON
ma-216	136	10	determine	determine	VERB
ma-216	136	11	the	the	DET
ma-216	136	12	subset	subset	NOUN
ma-216	136	13	dh.the	dh.the	DET
ma-216	136	14	human	human	ADJ
ma-216	136	15	(	(	PUNCT
ma-216	136	16	host	host	NOUN
ma-216	136	17	)	)	PUNCT
ma-216	136	18	population	population	NOUN
ma-216	136	19	nh	nh	INTJ
ma-216	136	20	at	at	ADP
ma-216	136	21	any	any	DET
ma-216	136	22	given	give	VERB
ma-216	136	23	time	time	NOUN
ma-216	136	24	t	t	PROPN
ma-216	136	25	is	be	AUX
ma-216	136	26	:	:	PUNCT
ma-216	136	27	nh	nh	PROPN
ma-216	136	28	=	=	PUNCT
ma-216	137	1	sh	sh	PROPN
ma-216	138	1	+	+	ADV
ma-216	138	2	eh	eh	INTJ
ma-216	139	1	+	+	NUM
ma-216	139	2	ih	ih	PROPN
ma-216	139	3	+	+	NUM
ma-216	139	4	rh	rh	PROPN
ma-216	139	5	(	(	PUNCT
ma-216	139	6	8)	8)	NUM
ma-216	139	7	taking	take	VERB
ma-216	139	8	the	the	DET
ma-216	139	9	differential	differential	NOUN
ma-216	139	10	of	of	ADP
ma-216	139	11	both	both	DET
ma-216	139	12	sides	side	NOUN
ma-216	139	13	of	of	ADP
ma-216	139	14	equation	equation	NOUN
ma-216	139	15	(	(	PUNCT
ma-216	139	16	8)	8)	NUM
ma-216	139	17	and	and	CCONJ
ma-216	139	18	simplifying	simplifying	NOUN
ma-216	139	19	gives	give	VERB
ma-216	139	20	:	:	PUNCT
ma-216	139	21	dnh	dnh	NOUN
ma-216	139	22	dt	dt	NOUN
ma-216	140	1	=	=	PUNCT
ma-216	140	2	m	m	PROPN
ma-216	140	3	+	+	ADJ
ma-216	140	4	πh	πh	NOUN
ma-216	140	5	−	−	PROPN
ma-216	140	6	µhnh	µhnh	ADJ
ma-216	140	7	−	−	PROPN
ma-216	140	8	δih	δih	NOUN
ma-216	140	9	=	=	NOUN
ma-216	140	10	⇒	⇒	NOUN
ma-216	140	11	dnh	dnh	VERB
ma-216	140	12	dt	dt	SYM
ma-216	140	13	≤	≤	NUM
ma-216	140	14	m	m	VERB
ma-216	140	15	+	+	NOUN
ma-216	140	16	πh	πh	NOUN
ma-216	140	17	−	−	PROPN
ma-216	140	18	µhnh	µhnh	ADJ
ma-216	140	19	(	(	PUNCT
ma-216	140	20	in	in	ADP
ma-216	140	21	the	the	DET
ma-216	140	22	absence	absence	NOUN
ma-216	140	23	of	of	ADP
ma-216	140	24	malaria	malaria	NOUN
ma-216	140	25	induced	induce	VERB
ma-216	140	26	mortality	mortality	NOUN
ma-216	140	27	)	)	PUNCT
ma-216	141	1	=	=	NOUN
ma-216	141	2	⇒	⇒	NOUN
ma-216	141	3	dnh	dnh	VERB
ma-216	141	4	nh	nh	PROPN
ma-216	141	5	−	−	PROPN
ma-216	141	6	m+πh	m+πh	NOUN
ma-216	141	7	µh	µh	ADV
ma-216	141	8	≤	≤	NOUN
ma-216	141	9	−µhdt	−µhdt	PUNCT
ma-216	142	1	(	(	PUNCT
ma-216	142	2	9	9	X
ma-216	142	3	)	)	PUNCT
ma-216	142	4	integrating	integrate	VERB
ma-216	142	5	the	the	DET
ma-216	142	6	last	last	ADJ
ma-216	142	7	inequality	inequality	NOUN
ma-216	142	8	in	in	ADP
ma-216	142	9	(	(	PUNCT
ma-216	142	10	9	9	NUM
ma-216	142	11	)	)	PUNCT
ma-216	142	12	and	and	CCONJ
ma-216	142	13	taking	take	VERB
ma-216	142	14	the	the	DET
ma-216	142	15	limit	limit	NOUN
ma-216	142	16	as	as	ADP
ma-216	142	17	t	t	PROPN
ma-216	142	18	→	→	SYM
ma-216	142	19	+	+	PROPN
ma-216	142	20	∞	∞	PROPN
ma-216	142	21	,	,	PUNCT
ma-216	142	22	yield	yield	NOUN
ma-216	142	23	:	:	PUNCT
ma-216	142	24	nh	nh	PROPN
ma-216	142	25	→	→	SYM
ma-216	142	26	m+πh	m+πh	NOUN
ma-216	142	27	µhconsequently	µhconsequently	ADV
ma-216	142	28	,	,	PUNCT
ma-216	142	29	the	the	DET
ma-216	142	30	following	following	ADJ
ma-216	142	31	result	result	NOUN
ma-216	142	32	is	be	AUX
ma-216	142	33	obtained	obtain	VERB
ma-216	142	34	0	0	NUM
ma-216	142	35	≤	≤	NUM
ma-216	142	36	nh	nh	NOUN
ma-216	142	37	≤	≤	NUM
ma-216	143	1	m	m	VERB
ma-216	144	1	+	+	NUM
ma-216	144	2	πh	πh	VERB
ma-216	144	3	µh	µh	INTJ
ma-216	144	4	(	(	PUNCT
ma-216	144	5	10	10	NUM
ma-216	144	6	)	)	PUNCT
ma-216	144	7	therefore	therefore	ADV
ma-216	144	8	:	:	PUNCT
ma-216	144	9	dh	dh	NOUN
ma-216	144	10	=	=	PRON
ma-216	144	11	{	{	PUNCT
ma-216	144	12	(	(	PUNCT
ma-216	144	13	sh	sh	INTJ
ma-216	144	14	,	,	PUNCT
ma-216	144	15	eh	eh	INTJ
ma-216	144	16	,	,	PUNCT
ma-216	144	17	ih	ih	X
ma-216	144	18	,	,	PUNCT
ma-216	144	19	rh	rh	PROPN
ma-216	144	20	)	)	PUNCT
ma-216	144	21	∈	∈	PROPN
ma-216	144	22	r4	r4	PROPN
ma-216	144	23	+	+	CCONJ
ma-216	144	24	:	:	PUNCT
ma-216	144	25	sh	sh	INTJ
ma-216	145	1	+	+	CCONJ
ma-216	145	2	eh	eh	INTJ
ma-216	145	3	+	+	NUM
ma-216	145	4	ih	ih	PRON
ma-216	145	5	+	+	CCONJ
ma-216	145	6	rh	rh	PROPN
ma-216	145	7	≤	≤	NOUN
ma-216	145	8	m	m	VERB
ma-216	146	1	+	+	NUM
ma-216	146	2	πh	πh	NOUN
ma-216	146	3	µh	µh	NOUN
ma-216	146	4	}	}	PUNCT
ma-216	146	5	(	(	PUNCT
ma-216	146	6	11	11	NUM
ma-216	146	7	)	)	PUNCT
ma-216	146	8	secondly	secondly	ADV
ma-216	146	9	,	,	PUNCT
ma-216	146	10	the	the	DET
ma-216	146	11	subset	subset	NOUN
ma-216	146	12	dm	dm	NOUN
ma-216	146	13	is	be	AUX
ma-216	146	14	determined	determine	VERB
ma-216	146	15	.	.	PUNCT
ma-216	147	1	at	at	ADP
ma-216	147	2	any	any	DET
ma-216	147	3	point	point	NOUN
ma-216	147	4	in	in	ADP
ma-216	147	5	time	time	NOUN
ma-216	147	6	,	,	PUNCT
ma-216	147	7	the	the	DET
ma-216	147	8	mosquito	mosquito	NOUN
ma-216	147	9	(	(	PUNCT
ma-216	147	10	vector	vector	NOUN
ma-216	147	11	)	)	PUNCT
ma-216	147	12	populationsatisfies	populationsatisfie	NOUN
ma-216	147	13	:	:	PUNCT
ma-216	147	14	am	be	AUX
ma-216	147	15	≤	≤	ADJ
ma-216	148	1	k	k	X
ma-216	148	2	,	,	PUNCT
ma-216	148	3	nam	nam	NOUN
ma-216	148	4	=	=	PROPN
ma-216	149	1	sm	sm	PROPN
ma-216	150	1	+	+	CCONJ
ma-216	150	2	em	em	PRON
ma-216	151	1	+	+	CCONJ
ma-216	152	1	i	i	VERB
ma-216	152	2	m	m	VERB
ma-216	152	3	(	(	PUNCT
ma-216	152	4	12	12	NUM
ma-216	152	5	)	)	PUNCT
ma-216	152	6	now	now	ADV
ma-216	152	7	,	,	PUNCT
ma-216	152	8	nam	nam	NOUN
ma-216	152	9	=	=	PROPN
ma-216	153	1	sm	sm	PROPN
ma-216	154	1	+	+	CCONJ
ma-216	154	2	em	em	PRON
ma-216	155	1	+	+	CCONJ
ma-216	156	1	i	i	PRON
ma-216	156	2	m	m	VERB
ma-216	156	3	=	=	VERB
ma-216	156	4	⇒	⇒	X
ma-216	156	5	d	d	X
ma-216	156	6	dt	dt	X
ma-216	156	7	(	(	PUNCT
ma-216	156	8	nam	nam	NOUN
ma-216	156	9	)	)	PUNCT
ma-216	156	10	=	=	PUNCT
ma-216	157	1	d	d	NOUN
ma-216	157	2	dt	dt	X
ma-216	157	3	(	(	PUNCT
ma-216	157	4	sm	sm	INTJ
ma-216	157	5	+	+	CCONJ
ma-216	157	6	em	em	PRON
ma-216	157	7	+	+	CCONJ
ma-216	157	8	i	i	NOUN
ma-216	157	9	m	m	VERB
ma-216	157	10	)	)	PUNCT
ma-216	158	1	=	=	AUX
ma-216	158	2	⇒	⇒	NOUN
ma-216	158	3	dnam	dnam	NOUN
ma-216	158	4	dt	dt	X
ma-216	158	5	=	=	PUNCT
ma-216	158	6	dsm	dsm	ADJ
ma-216	158	7	dt	dt	X
ma-216	159	1	+	+	CCONJ
ma-216	159	2	dem	dem	ADJ
ma-216	159	3	dt	dt	X
ma-216	159	4	+	+	CCONJ
ma-216	159	5	dim	dim	ADJ
ma-216	159	6	dt	dt	NOUN
ma-216	159	7	=	=	NOUN
ma-216	159	8	⇒	⇒	NOUN
ma-216	159	9	dnam	dnam	NOUN
ma-216	159	10	dt	dt	PUNCT
ma-216	159	11	≤	≤	NUM
ma-216	159	12	ψk	ψk	VERB
ma-216	159	13	−	−	PROPN
ma-216	159	14	µmnam	µmnam	ADP
ma-216	159	15	=	=	NOUN
ma-216	159	16	⇒	⇒	NOUN
ma-216	159	17	nam	nam	NOUN
ma-216	159	18	−	−	PROPN
ma-216	159	19	ψk	ψk	NOUN
ma-216	159	20	µm	µm	ADP
ma-216	159	21	≤	≤	NUM
ma-216	159	22	(	(	PUNCT
ma-216	159	23	nam(0)−	nam(0)−	ADV
ma-216	159	24	ψk	ψk	VERB
ma-216	159	25	µm	µm	NOUN
ma-216	159	26	)	)	PUNCT
ma-216	159	27	e−µmt	e−µmt	NOUN
ma-216	160	1	=	=	PRON
ma-216	160	2	⇒	⇒	NOUN
ma-216	160	3	nam	nam	NOUN
ma-216	160	4	≤	≤	PROPN
ma-216	160	5	ψk	ψk	VERB
ma-216	160	6	µm	µm	PROPN
ma-216	160	7	as	as	ADP
ma-216	160	8	t	t	PROPN
ma-216	160	9	→	→	PUNCT
ma-216	161	1	+	+	PROPN
ma-216	161	2	∞.	∞.	PROPN
ma-216	161	3	therefore	therefore	ADV
ma-216	161	4	,	,	PUNCT
ma-216	161	5	dm	dm	PROPN
ma-216	161	6	=	=	SYM
ma-216	161	7	{	{	PUNCT
ma-216	161	8	(	(	PUNCT
ma-216	161	9	am	am	NOUN
ma-216	161	10	,	,	PUNCT
ma-216	161	11	sm	sm	PROPN
ma-216	161	12	,	,	PUNCT
ma-216	161	13	em	em	PRON
ma-216	161	14	,	,	PUNCT
ma-216	161	15	i	i	PRON
ma-216	161	16	m	m	VERB
ma-216	161	17	)	)	PUNCT
ma-216	161	18	∈	∈	PROPN
ma-216	161	19	r4	r4	NOUN
ma-216	161	20	+	+	CCONJ
ma-216	161	21	:	:	PUNCT
ma-216	161	22	am	be	AUX
ma-216	161	23	≤	≤	ADJ
ma-216	161	24	k	k	X
ma-216	161	25	,	,	PUNCT
ma-216	162	1	sm	sm	PROPN
ma-216	163	1	+	+	CCONJ
ma-216	163	2	em	em	PRON
ma-216	164	1	+	+	CCONJ
ma-216	165	1	i	i	VERB
ma-216	165	2	m	m	VERB
ma-216	165	3	≤	≤	NOUN
ma-216	165	4	ψk	ψk	VERB
ma-216	165	5	µm	µm	ADP
ma-216	165	6	}	}	PUNCT
ma-216	165	7	(	(	PUNCT
ma-216	165	8	13	13	NUM
ma-216	165	9	)	)	PUNCT
ma-216	165	10	thus	thus	ADV
ma-216	165	11	,	,	PUNCT
ma-216	165	12	the	the	DET
ma-216	165	13	feasible	feasible	ADJ
ma-216	165	14	region	region	NOUN
ma-216	165	15	for	for	ADP
ma-216	165	16	system	system	NOUN
ma-216	165	17	(	(	PUNCT
ma-216	165	18	3	3	X
ma-216	165	19	)	)	PUNCT
ma-216	165	20	is	be	AUX
ma-216	165	21	the	the	DET
ma-216	165	22	set	set	NOUN
ma-216	165	23	:	:	PUNCT
ma-216	165	24	d	d	X
ma-216	165	25	=	=	SYM
ma-216	165	26	dh	dh	PROPN
ma-216	165	27	×dm	×dm	PROPN
ma-216	165	28	⊂	⊂	PROPN
ma-216	165	29	r4	r4	PROPN
ma-216	165	30	+	+	CCONJ
ma-216	165	31	×	×	NOUN
ma-216	165	32	r4	r4	NOUN
ma-216	165	33	+	+	CCONJ
ma-216	165	34	(	(	PUNCT
ma-216	165	35	14	14	NUM
ma-216	165	36	)	)	PUNCT
ma-216	165	37	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	165	38	eur	eur	PROPN
ma-216	165	39	.	.	PUNCT
ma-216	166	1	j.	j.	PROPN
ma-216	166	2	math	math	PROPN
ma-216	166	3	.	.	PUNCT
ma-216	167	1	anal	anal	PROPN
ma-216	167	2	.	.	PUNCT
ma-216	168	1	10.28924	10.28924	NUM
ma-216	168	2	/	/	SYM
ma-216	168	3	ada	ada	PROPN
ma-216	168	4	/	/	SYM
ma-216	168	5	ma.4.7	ma.4.7	PROPN
ma-216	168	6	82.3	82.3	NUM
ma-216	168	7	.	.	PUNCT
ma-216	169	1	model	model	PROPN
ma-216	169	2	equilibrium	equilibrium	NOUN
ma-216	169	3	points	point	NOUN
ma-216	169	4	.	.	PUNCT
ma-216	170	1	to	to	PART
ma-216	170	2	discuss	discuss	VERB
ma-216	170	3	the	the	DET
ma-216	170	4	model	model	NOUN
ma-216	170	5	equilibrium	equilibrium	NOUN
ma-216	170	6	points	point	NOUN
ma-216	170	7	,	,	PUNCT
ma-216	170	8	we	we	PRON
ma-216	170	9	consider	consider	VERB
ma-216	170	10	two	two	NUM
ma-216	170	11	cases.the	cases.the	PRON
ma-216	170	12	case	case	NOUN
ma-216	170	13	where	where	SCONJ
ma-216	170	14	there	there	PRON
ma-216	170	15	is	be	VERB
ma-216	170	16	inflow	inflow	NOUN
ma-216	170	17	of	of	ADP
ma-216	170	18	exposed	expose	VERB
ma-216	170	19	and	and	CCONJ
ma-216	170	20	infected	infected	ADJ
ma-216	170	21	migrants	migrant	NOUN
ma-216	170	22	(	(	PUNCT
ma-216	170	23	p1	p1	NOUN
ma-216	170	24	,	,	PUNCT
ma-216	170	25	p2	p2	X
ma-216	170	26	>	>	X
ma-216	170	27	0	0	NUM
ma-216	170	28	)	)	PUNCT
ma-216	170	29	.	.	PUNCT
ma-216	171	1	for	for	ADP
ma-216	171	2	this	this	DET
ma-216	171	3	scenario	scenario	NOUN
ma-216	171	4	,	,	PUNCT
ma-216	171	5	there	there	PRON
ma-216	171	6	is	be	VERB
ma-216	171	7	no	no	DET
ma-216	171	8	disease	disease	NOUN
ma-216	171	9	free	free	ADJ
ma-216	171	10	equilibrium	equilibrium	NOUN
ma-216	171	11	and	and	CCONJ
ma-216	171	12	the	the	DET
ma-216	171	13	model	model	NOUN
ma-216	171	14	admits	admit	VERB
ma-216	171	15	only	only	ADV
ma-216	171	16	the	the	DET
ma-216	171	17	endemic	endemic	ADJ
ma-216	171	18	equilibrium	equilibrium	NOUN
ma-216	171	19	to	to	ADP
ma-216	171	20	bedetermine	bedetermine	NOUN
ma-216	171	21	later	later	ADV
ma-216	171	22	.	.	PUNCT
ma-216	172	1	the	the	DET
ma-216	172	2	second	second	ADJ
ma-216	172	3	case	case	NOUN
ma-216	172	4	is	be	AUX
ma-216	172	5	when	when	SCONJ
ma-216	172	6	there	there	PRON
ma-216	172	7	is	be	VERB
ma-216	172	8	no	no	DET
ma-216	172	9	immigration	immigration	NOUN
ma-216	172	10	of	of	ADP
ma-216	172	11	exposed	expose	VERB
ma-216	172	12	and	and	CCONJ
ma-216	172	13	infected	infected	ADJ
ma-216	172	14	humans(p1	humans(p1	NOUN
ma-216	172	15	=	=	PUNCT
ma-216	172	16	p2	p2	X
ma-216	172	17	=	=	SYM
ma-216	172	18	0	0	NUM
ma-216	172	19	)	)	PUNCT
ma-216	172	20	.	.	PUNCT
ma-216	173	1	in	in	ADP
ma-216	173	2	this	this	DET
ma-216	173	3	case	case	NOUN
ma-216	173	4	,	,	PUNCT
ma-216	173	5	the	the	DET
ma-216	173	6	computation	computation	NOUN
ma-216	173	7	of	of	ADP
ma-216	173	8	the	the	DET
ma-216	173	9	model	model	NOUN
ma-216	173	10	disease	disease	NOUN
ma-216	173	11	-	-	PUNCT
ma-216	173	12	free	free	ADJ
ma-216	173	13	equilibria	equilibrium	NOUN
ma-216	173	14	,	,	PUNCT
ma-216	173	15	is	be	AUX
ma-216	173	16	summarized	summarize	VERB
ma-216	173	17	inthe	inthe	DET
ma-216	173	18	theorem	theorem	NOUN
ma-216	173	19	below	below	ADV
ma-216	173	20	.	.	PUNCT
ma-216	174	1	this	this	DET
ma-216	174	2	approach	approach	NOUN
ma-216	174	3	is	be	AUX
ma-216	174	4	adopted	adopt	VERB
ma-216	174	5	from	from	ADP
ma-216	174	6	[	[	X
ma-216	174	7	20–22	20–22	NUM
ma-216	174	8	]	]	PUNCT
ma-216	174	9	.	.	PUNCT
ma-216	175	1	theorem	theorem	NOUN
ma-216	175	2	3	3	NUM
ma-216	175	3	.	.	X
ma-216	175	4	for	for	ADP
ma-216	175	5	convenience	convenience	NOUN
ma-216	175	6	,	,	PUNCT
ma-216	175	7	we	we	PRON
ma-216	175	8	define	define	VERB
ma-216	175	9	the	the	DET
ma-216	175	10	threshold	threshold	NOUN
ma-216	175	11	parameter	parameter	NOUN
ma-216	175	12	n	n	PRON
ma-216	175	13	=	=	PUNCT
ma-216	175	14	πmψ	πmψ	NOUN
ma-216	175	15	µm(ψ	µm(ψ	X
ma-216	175	16	+	+	SYM
ma-216	175	17	µa	µa	NOUN
ma-216	175	18	)	)	PUNCT
ma-216	175	19	=	=	PUNCT
ma-216	175	20	πmψ	πmψ	NOUN
ma-216	175	21	g3	g3	PROPN
ma-216	175	22	µm	µm	X
ma-216	175	23	(	(	PUNCT
ma-216	175	24	15	15	NUM
ma-216	175	25	)	)	PUNCT
ma-216	175	26	as	as	ADP
ma-216	175	27	the	the	DET
ma-216	175	28	mosquito	mosquito	ADJ
ma-216	175	29	net	net	ADJ
ma-216	175	30	reproduction	reproduction	NOUN
ma-216	175	31	or	or	CCONJ
ma-216	175	32	extinction	extinction	NOUN
ma-216	175	33	number	number	NOUN
ma-216	175	34	,	,	PUNCT
ma-216	175	35	then	then	ADV
ma-216	175	36	if:(1	if:(1	PROPN
ma-216	175	37	)	)	PUNCT
ma-216	175	38	n	n	CCONJ
ma-216	175	39	≤	≤	NUM
ma-216	175	40	1	1	NUM
ma-216	175	41	,	,	PUNCT
ma-216	175	42	system	system	NOUN
ma-216	175	43	(	(	PUNCT
ma-216	175	44	3	3	X
ma-216	175	45	)	)	PUNCT
ma-216	175	46	admits	admit	VERB
ma-216	175	47	a	a	DET
ma-216	175	48	trivial	trivial	ADJ
ma-216	175	49	disease	disease	NOUN
ma-216	175	50	-	-	PUNCT
ma-216	175	51	free	free	ADJ
ma-216	175	52	equilibrium	equilibrium	NOUN
ma-216	175	53	(	(	PUNCT
ma-216	175	54	tdfe	tdfe	NOUN
ma-216	175	55	)	)	PUNCT
ma-216	175	56	(	(	PUNCT
ma-216	175	57	which	which	PRON
ma-216	175	58	corresponds	correspond	VERB
ma-216	175	59	to	to	ADP
ma-216	175	60	a	a	DET
ma-216	175	61	population	population	NOUN
ma-216	175	62	without	without	ADP
ma-216	175	63	mosquitoes	mosquito	NOUN
ma-216	175	64	)	)	PUNCT
ma-216	175	65	given	give	VERB
ma-216	175	66	by	by	ADP
ma-216	175	67	:	:	PUNCT
ma-216	175	68	ξ0	ξ0	PROPN
ma-216	175	69	=	=	SYM
ma-216	175	70	(	(	PUNCT
ma-216	175	71	s∗h	s∗h	PROPN
ma-216	175	72	,	,	PUNCT
ma-216	175	73	0	0	NUM
ma-216	175	74	,	,	PUNCT
ma-216	175	75	0	0	NUM
ma-216	175	76	,	,	PUNCT
ma-216	175	77	0	0	NUM
ma-216	175	78	,	,	PUNCT
ma-216	175	79	0	0	NUM
ma-216	175	80	,	,	PUNCT
ma-216	175	81	0	0	NUM
ma-216	175	82	,	,	PUNCT
ma-216	175	83	0	0	NUM
ma-216	175	84	,	,	PUNCT
ma-216	175	85	0	0	NUM
ma-216	175	86	)	)	PUNCT
ma-216	175	87	(	(	PUNCT
ma-216	175	88	16	16	NUM
ma-216	175	89	)	)	PUNCT
ma-216	175	90	(	(	PUNCT
ma-216	175	91	2	2	X
ma-216	175	92	)	)	PUNCT
ma-216	175	93	n	n	CCONJ
ma-216	175	94	>	>	SYM
ma-216	175	95	1	1	NUM
ma-216	175	96	(	(	PUNCT
ma-216	175	97	mosquitoes	mosquito	NOUN
ma-216	175	98	persist	persist	VERB
ma-216	175	99	in	in	ADP
ma-216	175	100	the	the	DET
ma-216	175	101	community	community	NOUN
ma-216	175	102	)	)	PUNCT
ma-216	175	103	,	,	PUNCT
ma-216	175	104	system	system	NOUN
ma-216	175	105	(	(	PUNCT
ma-216	175	106	3	3	X
ma-216	175	107	)	)	PUNCT
ma-216	175	108	admits	admit	VERB
ma-216	175	109	a	a	DET
ma-216	175	110	realistic	realistic	ADJ
ma-216	175	111	disease	disease	NOUN
ma-216	175	112	-	-	PUNCT
ma-216	175	113	free	free	ADJ
ma-216	175	114	equilibrium	equilibrium	NOUN
ma-216	175	115	(	(	PUNCT
ma-216	175	116	rdfe	rdfe	ADJ
ma-216	175	117	)	)	PUNCT
ma-216	175	118	(	(	PUNCT
ma-216	175	119	since	since	SCONJ
ma-216	175	120	it	it	PRON
ma-216	175	121	corresponds	correspond	VERB
ma-216	175	122	to	to	ADP
ma-216	175	123	the	the	DET
ma-216	175	124	existence	existence	NOUN
ma-216	175	125	of	of	ADP
ma-216	175	126	mosquitoes	mosquito	NOUN
ma-216	175	127	in	in	ADP
ma-216	175	128	the	the	DET
ma-216	175	129	population	population	NOUN
ma-216	175	130	)	)	PUNCT
ma-216	175	131	given	give	VERB
ma-216	175	132	by	by	ADP
ma-216	175	133	:	:	PUNCT
ma-216	175	134	ξ1	ξ1	PROPN
ma-216	175	135	=	=	SYM
ma-216	175	136	(	(	PUNCT
ma-216	175	137	s∗h	s∗h	X
ma-216	175	138	,	,	PUNCT
ma-216	175	139	0	0	NUM
ma-216	175	140	,	,	PUNCT
ma-216	175	141	0	0	NUM
ma-216	175	142	,	,	PUNCT
ma-216	175	143	0	0	NUM
ma-216	175	144	,	,	PUNCT
ma-216	175	145	0	0	NUM
ma-216	175	146	,	,	PUNCT
ma-216	175	147	a∗m	a∗m	NUM
ma-216	175	148	,	,	PUNCT
ma-216	175	149	s	s	PART
ma-216	175	150	∗	∗	NOUN
ma-216	175	151	m	m	PROPN
ma-216	175	152	,	,	PUNCT
ma-216	175	153	0	0	NUM
ma-216	175	154	)	)	PUNCT
ma-216	175	155	(	(	PUNCT
ma-216	175	156	17	17	NUM
ma-216	175	157	)	)	PUNCT
ma-216	175	158	where	where	SCONJ
ma-216	175	159	:	:	PUNCT
ma-216	175	160	s∗h	s∗h	NUM
ma-216	175	161	=	=	NUM
ma-216	175	162	m+πh	m+πh	NOUN
ma-216	175	163	µh	µh	ADV
ma-216	175	164	,	,	PUNCT
ma-216	175	165	a∗m	a∗m	X
ma-216	175	166	=	=	SYM
ma-216	175	167	k	k	X
ma-216	175	168	(	(	PUNCT
ma-216	175	169	1−	1−	NUM
ma-216	175	170	1	1	NUM
ma-216	175	171	n	n	NOUN
ma-216	175	172	)	)	PUNCT
ma-216	175	173	and	and	CCONJ
ma-216	175	174	s∗m	s∗m	NUM
ma-216	175	175	=	=	SYM
ma-216	175	176	ψk	ψk	PROPN
ma-216	175	177	µm	µm	ADP
ma-216	175	178	(	(	PUNCT
ma-216	175	179	1−	1−	NUM
ma-216	175	180	1	1	NUM
ma-216	175	181	n	n	NOUN
ma-216	175	182	)	)	PUNCT
ma-216	175	183	proof.suppose	proof.suppose	NUM
ma-216	175	184	,	,	PUNCT
ma-216	175	185	(	(	PUNCT
ma-216	175	186	s∗h	s∗h	X
ma-216	175	187	,	,	PUNCT
ma-216	175	188	e∗h	e∗h	NOUN
ma-216	175	189	,	,	PUNCT
ma-216	175	190	i	i	PRON
ma-216	175	191	∗	∗	VERB
ma-216	175	192	h	h	PROPN
ma-216	175	193	,	,	PUNCT
ma-216	175	194	r∗h	r∗h	NOUN
ma-216	175	195	,	,	PUNCT
ma-216	175	196	a∗m	a∗m	NUM
ma-216	175	197	,	,	PUNCT
ma-216	175	198	s∗m	s∗m	NUM
ma-216	175	199	,	,	PUNCT
ma-216	175	200	e∗m	e∗m	NUM
ma-216	175	201	,	,	PUNCT
ma-216	175	202	i∗m	i∗m	X
ma-216	175	203	)	)	PUNCT
ma-216	175	204	is	be	AUX
ma-216	175	205	any	any	DET
ma-216	175	206	arbitrary	arbitrary	ADJ
ma-216	175	207	disease	disease	NOUN
ma-216	175	208	-	-	PUNCT
ma-216	175	209	free	free	ADJ
ma-216	175	210	equilibrium	equilibrium	NOUN
ma-216	175	211	point.setting	point.sette	VERB
ma-216	175	212	system	system	NOUN
ma-216	175	213	(	(	PUNCT
ma-216	175	214	3	3	NUM
ma-216	175	215	)	)	PUNCT
ma-216	175	216	to	to	ADP
ma-216	175	217	zero	zero	NUM
ma-216	175	218	with	with	ADP
ma-216	175	219	the	the	DET
ma-216	175	220	condition	condition	NOUN
ma-216	175	221	that	that	SCONJ
ma-216	175	222	there	there	PRON
ma-216	175	223	are	be	VERB
ma-216	175	224	no	no	DET
ma-216	175	225	infections	infection	NOUN
ma-216	175	226	at	at	ADP
ma-216	175	227	the	the	DET
ma-216	175	228	disease	disease	NOUN
ma-216	175	229	-	-	PUNCT
ma-216	175	230	freeequilibrium	freeequilibrium	NOUN
ma-216	175	231	,	,	PUNCT
ma-216	175	232	that	that	ADV
ma-216	175	233	is	is	ADV
ma-216	175	234	,	,	PUNCT
ma-216	175	235	p1	p1	NOUN
ma-216	175	236	=	=	NOUN
ma-216	175	237	p2	p2	PROPN
ma-216	175	238	=	=	SYM
ma-216	175	239	e∗h	e∗h	SYM
ma-216	175	240	=	=	SYM
ma-216	175	241	i∗h	i∗h	PUNCT
ma-216	175	242	=	=	NOUN
ma-216	175	243	r∗h	r∗h	NUM
ma-216	175	244	=	=	PUNCT
ma-216	175	245	e∗m	e∗m	NOUN
ma-216	175	246	=	=	PUNCT
ma-216	175	247	i∗m	i∗m	PUNCT
ma-216	175	248	=	=	SYM
ma-216	175	249	0	0	NUM
ma-216	175	250	,	,	PUNCT
ma-216	175	251	gives	give	VERB
ma-216	175	252	:	:	PUNCT
ma-216	175	253	s∗h	s∗h	NUM
ma-216	175	254	=	=	NUM
ma-216	175	255	m+πh	m+πh	NOUN
ma-216	176	1	µh	µh	INTJ
ma-216	176	2	for	for	ADP
ma-216	176	3	the	the	DET
ma-216	176	4	firstequation.also	firstequation.also	NOUN
ma-216	176	5	,	,	PUNCT
ma-216	176	6	it	it	PRON
ma-216	176	7	is	be	AUX
ma-216	176	8	not	not	PART
ma-216	176	9	hard	hard	ADJ
ma-216	176	10	to	to	PART
ma-216	176	11	see	see	VERB
ma-216	176	12	from	from	ADP
ma-216	176	13	system	system	NOUN
ma-216	176	14	(	(	PUNCT
ma-216	176	15	3	3	NUM
ma-216	176	16	)	)	PUNCT
ma-216	177	1	that	that	PRON
ma-216	177	2	s∗m	s∗m	NUM
ma-216	177	3	+	+	CCONJ
ma-216	177	4	e∗m	e∗m	PUNCT
ma-216	177	5	+	+	CCONJ
ma-216	177	6	i∗m	i∗m	PUNCT
ma-216	177	7	=	=	PUNCT
ma-216	177	8	ψa∗m	ψa∗m	X
ma-216	177	9	µm	µm	NOUN
ma-216	177	10	(	(	PUNCT
ma-216	177	11	18	18	NUM
ma-216	177	12	)	)	PUNCT
ma-216	177	13	hence	hence	ADV
ma-216	177	14	,	,	PUNCT
ma-216	177	15	from	from	ADP
ma-216	177	16	the	the	DET
ma-216	177	17	sixth	sixth	ADJ
ma-216	177	18	equation	equation	NOUN
ma-216	177	19	of	of	ADP
ma-216	177	20	system	system	NOUN
ma-216	177	21	(	(	PUNCT
ma-216	177	22	3	3	NUM
ma-216	177	23	)	)	PUNCT
ma-216	177	24	,	,	PUNCT
ma-216	177	25	we	we	PRON
ma-216	177	26	see	see	VERB
ma-216	177	27	that	that	SCONJ
ma-216	177	28	a∗m	a∗m	NUM
ma-216	177	29	satisfies	satisfie	NOUN
ma-216	177	30	:	:	PUNCT
ma-216	177	31	ψπm	ψπm	NOUN
ma-216	177	32	µm	µm	ADP
ma-216	177	33	(	(	PUNCT
ma-216	177	34	1−	1−	NUM
ma-216	177	35	a∗m	a∗m	PROPN
ma-216	177	36	k	k	X
ma-216	177	37	)	)	PUNCT
ma-216	177	38	a∗m	a∗m	PROPN
ma-216	177	39	−	−	NOUN
ma-216	178	1	g3a∗m	g3a∗m	SYM
ma-216	178	2	=	=	SYM
ma-216	178	3	0	0	PUNCT
ma-216	178	4	(	(	PUNCT
ma-216	178	5	19	19	NUM
ma-216	178	6	)	)	PUNCT
ma-216	178	7	=	=	NOUN
ma-216	178	8	⇒	⇒	NOUN
ma-216	178	9	a∗m	a∗m	NUM
ma-216	178	10	=	=	SYM
ma-216	178	11	0	0	NUM
ma-216	178	12	or	or	CCONJ
ma-216	178	13	a∗m	a∗m	NUM
ma-216	178	14	=	=	SYM
ma-216	178	15	k	k	X
ma-216	178	16	(	(	PUNCT
ma-216	178	17	1−	1−	NUM
ma-216	178	18	1	1	NUM
ma-216	178	19	n	n	NOUN
ma-216	178	20	)	)	PUNCT
ma-216	178	21	(	(	PUNCT
ma-216	178	22	20	20	NUM
ma-216	178	23	)	)	PUNCT
ma-216	178	24	now	now	ADV
ma-216	178	25	a∗m	a∗m	PUNCT
ma-216	178	26	=	=	SYM
ma-216	178	27	0	0	PUNCT
ma-216	178	28	=	=	NOUN
ma-216	178	29	⇒	⇒	X
ma-216	178	30	s∗m	s∗m	NUM
ma-216	178	31	=	=	SYM
ma-216	178	32	0	0	NUM
ma-216	178	33	and	and	CCONJ
ma-216	178	34	a∗m	a∗m	NUM
ma-216	178	35	=	=	SYM
ma-216	178	36	k	k	X
ma-216	178	37	(	(	PUNCT
ma-216	178	38	1−	1−	NUM
ma-216	178	39	1	1	NUM
ma-216	178	40	n	n	NOUN
ma-216	178	41	)	)	PUNCT
ma-216	179	1	=	=	VERB
ma-216	179	2	⇒	⇒	NOUN
ma-216	179	3	s∗m	s∗m	NUM
ma-216	179	4	=	=	SYM
ma-216	179	5	ψk	ψk	PROPN
ma-216	179	6	µm	µm	ADP
ma-216	179	7	(	(	PUNCT
ma-216	179	8	1−	1−	NUM
ma-216	179	9	1	1	NUM
ma-216	179	10	n	n	NOUN
ma-216	179	11	)	)	PUNCT
ma-216	179	12	(	(	PUNCT
ma-216	179	13	21	21	NUM
ma-216	179	14	)	)	PUNCT
ma-216	179	15	hence	hence	ADV
ma-216	179	16	,	,	PUNCT
ma-216	179	17	ξ0	ξ0	PROPN
ma-216	179	18	and	and	CCONJ
ma-216	179	19	ξ1	ξ1	NOUN
ma-216	179	20	are	be	AUX
ma-216	179	21	obtained	obtain	VERB
ma-216	179	22	respectively	respectively	ADV
ma-216	179	23	from	from	ADP
ma-216	179	24	a∗m	a∗m	NOUN
ma-216	179	25	=	=	SYM
ma-216	179	26	0	0	NUM
ma-216	179	27	and	and	CCONJ
ma-216	179	28	a∗m	a∗m	NUM
ma-216	179	29	=	=	SYM
ma-216	179	30	k	k	X
ma-216	179	31	(	(	PUNCT
ma-216	179	32	1−	1−	NUM
ma-216	179	33	1	1	NUM
ma-216	179	34	n	n	NUM
ma-216	179	35	)	)	PUNCT
ma-216	179	36	.	.	PUNCT
ma-216	180	1	clearly	clearly	ADV
ma-216	180	2	,	,	PUNCT
ma-216	180	3	themagnitude	themagnitude	NOUN
ma-216	180	4	of	of	ADP
ma-216	180	5	n	n	PRON
ma-216	180	6	dictates	dictate	VERB
ma-216	180	7	the	the	DET
ma-216	180	8	existence	existence	NOUN
ma-216	180	9	of	of	ADP
ma-216	180	10	the	the	DET
ma-216	180	11	model	model	NOUN
ma-216	180	12	disease	disease	NOUN
ma-216	180	13	-	-	PUNCT
ma-216	180	14	free	free	ADJ
ma-216	180	15	equilibrium	equilibrium	NOUN
ma-216	180	16	points	point	NOUN
ma-216	180	17	.	.	PUNCT
ma-216	181	1	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	181	2	eur	eur	PROPN
ma-216	181	3	.	.	PUNCT
ma-216	182	1	j.	j.	PROPN
ma-216	182	2	math	math	PROPN
ma-216	182	3	.	.	PUNCT
ma-216	183	1	anal	anal	PROPN
ma-216	183	2	.	.	PUNCT
ma-216	184	1	10.28924	10.28924	NUM
ma-216	184	2	/	/	SYM
ma-216	184	3	ada	ada	PROPN
ma-216	184	4	/	/	SYM
ma-216	184	5	ma.4.7	ma.4.7	NOUN
ma-216	184	6	9	9	NUM
ma-216	184	7	n	n	NOUN
ma-216	184	8	is	be	AUX
ma-216	184	9	a	a	DET
ma-216	184	10	threshold	threshold	NOUN
ma-216	184	11	quantity	quantity	NOUN
ma-216	184	12	known	know	VERB
ma-216	184	13	as	as	ADP
ma-216	184	14	the	the	DET
ma-216	184	15	vector	vector	NOUN
ma-216	184	16	offspring	offspring	NOUN
ma-216	184	17	number	number	NOUN
ma-216	184	18	or	or	CCONJ
ma-216	184	19	vector	vector	NOUN
ma-216	184	20	net	net	ADJ
ma-216	184	21	reproduction	reproduction	NOUN
ma-216	184	22	number[18	number[18	PROPN
ma-216	184	23	,	,	PUNCT
ma-216	184	24	19	19	NUM
ma-216	184	25	,	,	PUNCT
ma-216	184	26	23	23	NUM
ma-216	184	27	]	]	PUNCT
ma-216	184	28	.	.	PUNCT
ma-216	185	1	in	in	ADP
ma-216	185	2	general	general	ADJ
ma-216	185	3	,	,	PUNCT
ma-216	185	4	n	n	PRON
ma-216	185	5	can	can	AUX
ma-216	185	6	be	be	AUX
ma-216	185	7	interpreted	interpret	VERB
ma-216	185	8	as	as	ADP
ma-216	185	9	a	a	DET
ma-216	185	10	measure	measure	NOUN
ma-216	185	11	of	of	ADP
ma-216	185	12	the	the	DET
ma-216	185	13	average	average	ADJ
ma-216	185	14	number	number	NOUN
ma-216	185	15	of	of	ADP
ma-216	185	16	new	new	ADJ
ma-216	185	17	adultfemale	adultfemale	ADJ
ma-216	185	18	anopheles	anophele	NOUN
ma-216	185	19	mosquitoes	mosquito	NOUN
ma-216	185	20	produced	produce	VERB
ma-216	185	21	by	by	ADP
ma-216	185	22	one	one	NUM
ma-216	185	23	reproductive	reproductive	ADJ
ma-216	185	24	anopheles	anophele	NOUN
ma-216	185	25	mosquito	mosquito	VERB
ma-216	185	26	during	during	ADP
ma-216	185	27	its	its	PRON
ma-216	185	28	entirereproductive	entirereproductive	NOUN
ma-216	185	29	life	life	NOUN
ma-216	185	30	.	.	PUNCT
ma-216	186	1	it	it	PRON
ma-216	186	2	is	be	AUX
ma-216	186	3	expressed	express	VERB
ma-216	186	4	as	as	ADP
ma-216	186	5	a	a	DET
ma-216	186	6	product	product	NOUN
ma-216	186	7	of	of	ADP
ma-216	186	8	the	the	DET
ma-216	186	9	egg	egg	NOUN
ma-216	186	10	deposition	deposition	NOUN
ma-216	186	11	rate	rate	NOUN
ma-216	186	12	πm	πm	ADP
ma-216	186	13	,	,	PUNCT
ma-216	186	14	the	the	DET
ma-216	186	15	fraction	fraction	NOUN
ma-216	186	16	of	of	ADP
ma-216	186	17	immaturemosquito	immaturemosquito	PROPN
ma-216	186	18	that	that	PRON
ma-216	186	19	survive	survive	VERB
ma-216	186	20	and	and	CCONJ
ma-216	186	21	develop	develop	VERB
ma-216	186	22	into	into	ADP
ma-216	186	23	adult	adult	NOUN
ma-216	186	24	anopheles	anophele	NOUN
ma-216	186	25	mosquito	mosquito	NOUN
ma-216	186	26	ψ	ψ	NOUN
ma-216	186	27	ψ+µa	ψ+µa	NOUN
ma-216	186	28	and	and	CCONJ
ma-216	186	29	the	the	DET
ma-216	186	30	average	average	ADJ
ma-216	186	31	life	life	NOUN
ma-216	186	32	span	span	NOUN
ma-216	186	33	ofadult	ofadult	NOUN
ma-216	186	34	anopheles	anophele	NOUN
ma-216	186	35	mosquito	mosquito	VERB
ma-216	186	36	1	1	NUM
ma-216	186	37	µm	µm	NOUN
ma-216	186	38	.	.	PUNCT
ma-216	187	1	thus	thus	ADV
ma-216	187	2	,	,	PUNCT
ma-216	187	3	if	if	SCONJ
ma-216	187	4	n	n	PROPN
ma-216	187	5	>	>	X
ma-216	187	6	1	1	NUM
ma-216	187	7	,	,	PUNCT
ma-216	187	8	the	the	DET
ma-216	187	9	mosquito	mosquito	ADJ
ma-216	187	10	population	population	NOUN
ma-216	187	11	persists	persist	VERB
ma-216	187	12	in	in	ADP
ma-216	187	13	the	the	DET
ma-216	187	14	community	community	NOUN
ma-216	187	15	,	,	PUNCT
ma-216	187	16	otherwise	otherwise	ADV
ma-216	187	17	if	if	SCONJ
ma-216	187	18	n	n	ADV
ma-216	187	19	≤	≤	ADV
ma-216	187	20	1	1	NUM
ma-216	187	21	,	,	PUNCT
ma-216	187	22	the	the	DET
ma-216	187	23	malaria	malaria	NOUN
ma-216	187	24	vector	vector	NOUN
ma-216	187	25	population	population	NOUN
ma-216	187	26	becomes	become	VERB
ma-216	187	27	extinct	extinct	ADJ
ma-216	187	28	and	and	CCONJ
ma-216	187	29	the	the	DET
ma-216	187	30	local	local	ADJ
ma-216	187	31	transmissionof	transmissionof	NOUN
ma-216	187	32	malaria	malaria	NOUN
ma-216	187	33	can	can	AUX
ma-216	187	34	not	not	PART
ma-216	187	35	take	take	VERB
ma-216	187	36	place	place	NOUN
ma-216	187	37	.	.	PUNCT
ma-216	188	1	it	it	PRON
ma-216	188	2	is	be	AUX
ma-216	188	3	worth	worth	ADJ
ma-216	188	4	noting	note	VERB
ma-216	188	5	that	that	SCONJ
ma-216	188	6	the	the	DET
ma-216	188	7	trivial	trivial	ADJ
ma-216	188	8	disease	disease	NOUN
ma-216	188	9	-	-	PUNCT
ma-216	188	10	free	free	ADJ
ma-216	188	11	equilibrium	equilibrium	NOUN
ma-216	188	12	(	(	PUNCT
ma-216	188	13	tdfe)corresponds	tdfe)correspond	NOUN
ma-216	188	14	to	to	ADP
ma-216	188	15	the	the	DET
ma-216	188	16	absence	absence	NOUN
ma-216	188	17	of	of	ADP
ma-216	188	18	female	female	ADJ
ma-216	188	19	anopheles	anophele	NOUN
ma-216	188	20	mosquitoes	mosquito	NOUN
ma-216	188	21	in	in	ADP
ma-216	188	22	the	the	DET
ma-216	188	23	community	community	NOUN
ma-216	188	24	.	.	PUNCT
ma-216	189	1	hence	hence	ADV
ma-216	189	2	,	,	PUNCT
ma-216	189	3	the	the	DET
ma-216	189	4	tdfeis	tdfeis	NOUN
ma-216	189	5	biologically	biologically	ADV
ma-216	189	6	less	less	ADV
ma-216	189	7	meaningful	meaningful	ADJ
ma-216	189	8	.	.	PUNCT
ma-216	190	1	2.4	2.4	NUM
ma-216	190	2	.	.	PUNCT
ma-216	191	1	the	the	DET
ma-216	191	2	basic	basic	ADJ
ma-216	191	3	reproductive	reproductive	ADJ
ma-216	191	4	number	number	NOUN
ma-216	191	5	.	.	PUNCT
ma-216	192	1	in	in	ADP
ma-216	192	2	epidemiology	epidemiology	NOUN
ma-216	192	3	,	,	PUNCT
ma-216	192	4	the	the	DET
ma-216	192	5	basic	basic	ADJ
ma-216	192	6	reproductive	reproductive	ADJ
ma-216	192	7	number	number	NOUN
ma-216	192	8	(	(	PUNCT
ma-216	192	9	ro	ro	NOUN
ma-216	192	10	)	)	PUNCT
ma-216	192	11	isa	isa	NOUN
ma-216	192	12	threshold	threshold	NOUN
ma-216	192	13	quantity	quantity	NOUN
ma-216	192	14	that	that	PRON
ma-216	192	15	is	be	AUX
ma-216	192	16	used	use	VERB
ma-216	192	17	to	to	PART
ma-216	192	18	determine	determine	VERB
ma-216	192	19	the	the	DET
ma-216	192	20	extent	extent	NOUN
ma-216	192	21	of	of	ADP
ma-216	192	22	severity	severity	NOUN
ma-216	192	23	of	of	ADP
ma-216	192	24	the	the	DET
ma-216	192	25	epidemics	epidemic	NOUN
ma-216	192	26	.	.	PUNCT
ma-216	193	1	in	in	ADP
ma-216	193	2	thisstudy	thisstudy	NOUN
ma-216	193	3	,	,	PUNCT
ma-216	193	4	the	the	DET
ma-216	193	5	method	method	NOUN
ma-216	193	6	of	of	ADP
ma-216	193	7	next	next	ADJ
ma-216	193	8	generating	generating	NOUN
ma-216	193	9	matrix	matrix	NOUN
ma-216	193	10	is	be	AUX
ma-216	193	11	adopted	adopt	VERB
ma-216	193	12	to	to	PART
ma-216	193	13	compute	compute	VERB
ma-216	193	14	the	the	DET
ma-216	193	15	model	model	NOUN
ma-216	193	16	ro	ro	X
ma-216	193	17	.	.	PUNCT
ma-216	194	1	expressing	express	VERB
ma-216	194	2	ourmodel	ourmodel	PROPN
ma-216	194	3	differential	differential	ADJ
ma-216	194	4	equations	equation	NOUN
ma-216	194	5	in	in	ADP
ma-216	194	6	the	the	DET
ma-216	194	7	form	form	NOUN
ma-216	194	8	dx	dx	PROPN
ma-216	194	9	dt	dt	NOUN
ma-216	195	1	=	=	PUNCT
ma-216	196	1	(	(	PUNCT
ma-216	196	2	f	f	X
ma-216	196	3	−	−	PROPN
ma-216	196	4	v)xt	v)xt	PROPN
ma-216	196	5	where	where	SCONJ
ma-216	196	6	xt	xt	PROPN
ma-216	196	7	denotes	denote	VERB
ma-216	196	8	the	the	DET
ma-216	196	9	transpose	transpose	NOUN
ma-216	196	10	of	of	ADP
ma-216	196	11	x	x	X
ma-216	196	12	=	=	SYM
ma-216	196	13	(	(	PUNCT
ma-216	196	14	eh	eh	INTJ
ma-216	196	15	,	,	PUNCT
ma-216	196	16	ih	ih	X
ma-216	196	17	,	,	PUNCT
ma-216	196	18	em	em	PRON
ma-216	196	19	,	,	PUNCT
ma-216	196	20	i	i	PRON
ma-216	196	21	m	m	PROPN
ma-216	196	22	)	)	PUNCT
ma-216	196	23	,	,	PUNCT
ma-216	196	24	f	f	PROPN
ma-216	196	25	and	and	CCONJ
ma-216	196	26	v	v	NOUN
ma-216	196	27	are	be	AUX
ma-216	196	28	vectors	vector	NOUN
ma-216	196	29	denoting	denote	VERB
ma-216	196	30	the	the	DET
ma-216	196	31	rate	rate	NOUN
ma-216	196	32	of	of	ADP
ma-216	196	33	generation	generation	NOUN
ma-216	196	34	of	of	ADP
ma-216	196	35	new	new	ADJ
ma-216	196	36	infections	infection	NOUN
ma-216	196	37	andtransfer	andtransfer	NOUN
ma-216	196	38	rates	rate	NOUN
ma-216	196	39	respectively	respectively	ADV
ma-216	196	40	,	,	PUNCT
ma-216	196	41	gives	give	VERB
ma-216	196	42	:	:	PUNCT
ma-216	196	43	f	f	PROPN
ma-216	196	44	=	=	PUNCT
ma-216	196	45			PROPN
ma-216	196	46	p1	p1	PROPN
ma-216	196	47	m	m	PROPN
ma-216	196	48	+	+	X
ma-216	196	49	λhsh	λhsh	ADJ
ma-216	196	50	p2	p2	PROPN
ma-216	196	51	m	m	NOUN
ma-216	196	52	λmsm	λmsm	NOUN
ma-216	196	53	0	0	NUM
ma-216	197	1			PRON
ma-216	197	2	and	and	CCONJ
ma-216	197	3	v	v	NOUN
ma-216	197	4	=	=	ADJ
ma-216	197	5			X
ma-216	197	6	g0eh	g0eh	X
ma-216	197	7	−γeh	−γeh	X
ma-216	198	1	+	+	CCONJ
ma-216	198	2	g1ih	g1ih	ADJ
ma-216	198	3	g4em	g4em	X
ma-216	198	4	−σem	−σem	NOUN
ma-216	198	5	+	+	CCONJ
ma-216	198	6	µmim	µmim	ADJ
ma-216	198	7			X
ma-216	198	8	(	(	PUNCT
ma-216	198	9	22	22	NUM
ma-216	198	10	)	)	PUNCT
ma-216	198	11	evaluating	evaluate	VERB
ma-216	198	12	the	the	DET
ma-216	198	13	jacobian	jacobian	ADJ
ma-216	198	14	matrices	matrix	NOUN
ma-216	198	15	f	f	PROPN
ma-216	198	16	and	and	CCONJ
ma-216	198	17	v	v	NOUN
ma-216	198	18	of	of	ADP
ma-216	198	19	f	f	PROPN
ma-216	198	20	and	and	CCONJ
ma-216	198	21	v	v	NOUN
ma-216	198	22	at	at	ADP
ma-216	198	23	the	the	DET
ma-216	198	24	rdfe	rdfe	PROPN
ma-216	198	25	gives	give	VERB
ma-216	198	26	respectively	respectively	ADV
ma-216	198	27	:	:	PUNCT
ma-216	198	28	f	f	X
ma-216	198	29	=	=	PUNCT
ma-216	198	30			ADJ
ma-216	198	31	0	0	NUM
ma-216	198	32	0	0	NUM
ma-216	198	33	0	0	NUM
ma-216	198	34	bβhs	bβhs	PROPN
ma-216	198	35	∗	∗	PROPN
ma-216	198	36	h	h	PROPN
ma-216	198	37	n∗h	n∗h	NUM
ma-216	198	38	0	0	NUM
ma-216	198	39	0	0	NUM
ma-216	198	40	0	0	NUM
ma-216	198	41	0	0	NUM
ma-216	198	42	0	0	NUM
ma-216	198	43	bβms∗m	bβms∗m	NOUN
ma-216	198	44	n∗h	n∗h	NUM
ma-216	198	45	0	0	NUM
ma-216	198	46	0	0	NUM
ma-216	198	47	0	0	NUM
ma-216	198	48	0	0	NUM
ma-216	198	49	0	0	NUM
ma-216	198	50	0	0	NUM
ma-216	199	1			NOUN
ma-216	199	2	and	and	CCONJ
ma-216	199	3	v	v	NOUN
ma-216	199	4	=	=	PUNCT
ma-216	199	5			ADJ
ma-216	199	6	g0	g0	NOUN
ma-216	199	7	0	0	NUM
ma-216	199	8	0	0	NUM
ma-216	199	9	0	0	NUM
ma-216	199	10	−γ	−γ	NOUN
ma-216	199	11	g1	g1	NOUN
ma-216	199	12	0	0	NUM
ma-216	199	13	0	0	NUM
ma-216	199	14	0	0	NUM
ma-216	199	15	0	0	NUM
ma-216	199	16	g4	g4	NOUN
ma-216	199	17	0	0	NUM
ma-216	199	18	0	0	NUM
ma-216	199	19	0	0	NUM
ma-216	199	20	−σ	−σ	NOUN
ma-216	199	21	µm	µm	ADP
ma-216	199	22			PROPN
ma-216	199	23	(	(	PUNCT
ma-216	199	24	23	23	NUM
ma-216	199	25	)	)	PUNCT
ma-216	199	26	from	from	ADP
ma-216	199	27	the	the	DET
ma-216	199	28	expression	expression	NOUN
ma-216	199	29	of	of	ADP
ma-216	199	30	v	v	NOUN
ma-216	199	31	,	,	PUNCT
ma-216	199	32	the	the	DET
ma-216	199	33	inverse	inverse	NOUN
ma-216	199	34	of	of	ADP
ma-216	199	35	v	v	NOUN
ma-216	199	36	is	be	AUX
ma-216	199	37	:	:	PUNCT
ma-216	199	38	v	v	NUM
ma-216	199	39	−1	−1	NOUN
ma-216	199	40	=	=	SYM
ma-216	199	41			NOUN
ma-216	199	42	1	1	NUM
ma-216	199	43	g0	g0	NOUN
ma-216	199	44	0	0	NUM
ma-216	199	45	0	0	NUM
ma-216	199	46	0	0	NUM
ma-216	199	47	γ	γ	X
ma-216	199	48	g0g1	g0g1	PROPN
ma-216	199	49	1	1	NUM
ma-216	199	50	g1	g1	NOUN
ma-216	199	51	0	0	NUM
ma-216	199	52	0	0	NUM
ma-216	199	53	0	0	NUM
ma-216	199	54	0	0	NUM
ma-216	199	55	1	1	NUM
ma-216	199	56	g4	g4	NOUN
ma-216	199	57	0	0	NUM
ma-216	199	58	0	0	NUM
ma-216	199	59	0	0	NUM
ma-216	199	60	1	1	NUM
ma-216	199	61	g4	g4	NOUN
ma-216	199	62	µm	µm	ADP
ma-216	199	63	1	1	NUM
ma-216	199	64	µm	µm	ADP
ma-216	199	65			NOUN
ma-216	199	66	(	(	PUNCT
ma-216	199	67	24	24	NUM
ma-216	199	68	)	)	PUNCT
ma-216	199	69	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	199	70	eur	eur	PROPN
ma-216	199	71	.	.	PUNCT
ma-216	200	1	j.	j.	PROPN
ma-216	200	2	math	math	PROPN
ma-216	200	3	.	.	PUNCT
ma-216	201	1	anal	anal	PROPN
ma-216	201	2	.	.	PUNCT
ma-216	202	1	10.28924	10.28924	NUM
ma-216	202	2	/	/	SYM
ma-216	202	3	ada	ada	PROPN
ma-216	202	4	/	/	SYM
ma-216	202	5	ma.4.7	ma.4.7	PROPN
ma-216	202	6	10hence	10hence	PROPN
ma-216	202	7	,	,	PUNCT
ma-216	202	8	the	the	DET
ma-216	202	9	next	next	ADJ
ma-216	202	10	generation	generation	NOUN
ma-216	202	11	matrix	matrix	NOUN
ma-216	202	12	fv	fv	X
ma-216	202	13	−1	−1	NOUN
ma-216	202	14	is	be	AUX
ma-216	202	15	given	give	VERB
ma-216	202	16	by	by	ADP
ma-216	202	17	:	:	PUNCT
ma-216	202	18	fv	fv	PROPN
ma-216	202	19	−1	−1	NOUN
ma-216	202	20	=	=	PUNCT
ma-216	203	1			NOUN
ma-216	203	2	0	0	NUM
ma-216	203	3	0	0	NUM
ma-216	203	4	σbβhs	σbβhs	NOUN
ma-216	203	5	∗	∗	NOUN
ma-216	203	6	h	h	NOUN
ma-216	203	7	g4n	g4n	PROPN
ma-216	203	8	∗	∗	PROPN
ma-216	203	9	hµm	hµm	PROPN
ma-216	203	10	bβhs	bβhs	PROPN
ma-216	203	11	∗	∗	NOUN
ma-216	203	12	h	h	NOUN
ma-216	204	1	n∗hµm	n∗hµm	PROPN
ma-216	204	2	0	0	NUM
ma-216	204	3	0	0	NUM
ma-216	204	4	0	0	NUM
ma-216	204	5	0	0	NUM
ma-216	204	6	γbβms∗m	γbβms∗m	NOUN
ma-216	204	7	g0g1n	g0g1n	NOUN
ma-216	204	8	∗	∗	NOUN
ma-216	204	9	h	h	NOUN
ma-216	204	10	bβms∗m	bβms∗m	NOUN
ma-216	204	11	g1n	g1n	VERB
ma-216	204	12	∗	∗	NOUN
ma-216	204	13	h	h	NOUN
ma-216	204	14	0	0	NUM
ma-216	204	15	0	0	NUM
ma-216	204	16	0	0	NUM
ma-216	204	17	0	0	NUM
ma-216	204	18	0	0	NUM
ma-216	204	19	0	0	NUM
ma-216	204	20			NOUN
ma-216	204	21	(	(	PUNCT
ma-216	204	22	25	25	NUM
ma-216	204	23	)	)	PUNCT
ma-216	204	24	solving	solve	VERB
ma-216	204	25	for	for	ADP
ma-216	204	26	λ	λ	PROPN
ma-216	204	27	in	in	ADP
ma-216	204	28	the	the	DET
ma-216	204	29	relation	relation	NOUN
ma-216	204	30	∣∣fv	∣∣fv	PROPN
ma-216	204	31	−1	−1	NOUN
ma-216	204	32	−	−	PUNCT
ma-216	205	1	λi∣∣	λi∣∣	PROPN
ma-216	205	2	=	=	SYM
ma-216	205	3	0	0	NUM
ma-216	205	4	,	,	PUNCT
ma-216	205	5	where	where	SCONJ
ma-216	205	6	i	i	PRON
ma-216	205	7	is	be	AUX
ma-216	205	8	a	a	DET
ma-216	205	9	unit	unit	NOUN
ma-216	205	10	matrix	matrix	NOUN
ma-216	205	11	and	and	CCONJ
ma-216	205	12	λ	λ	X
ma-216	205	13	an	an	DET
ma-216	205	14	eigenvalue	eigenvalue	NOUN
ma-216	205	15	of	of	ADP
ma-216	205	16	fv	fv	PROPN
ma-216	205	17	−1	−1	PROPN
ma-216	205	18	,	,	PUNCT
ma-216	205	19	we	we	PRON
ma-216	205	20	get	get	VERB
ma-216	205	21	the	the	DET
ma-216	205	22	dominant	dominant	ADJ
ma-216	205	23	eigenvalue	eigenvalue	NOUN
ma-216	205	24	as	as	ADP
ma-216	205	25	:	:	PUNCT
ma-216	205	26	λmax	λmax	NOUN
ma-216	205	27	=	=	SYM
ma-216	205	28	r0	r0	NOUN
ma-216	205	29	=	=	SYM
ma-216	205	30	√	√	PROPN
ma-216	205	31	σγb2βhβms	σγb2βhβms	PROPN
ma-216	205	32	∗	∗	PROPN
ma-216	205	33	hs	hs	PROPN
ma-216	205	34	∗	∗	PROPN
ma-216	205	35	m	m	PROPN
ma-216	205	36	g0g1g4n	g0g1g4n	PUNCT
ma-216	206	1	∗2	∗2	PROPN
ma-216	206	2	h	h	NOUN
ma-216	206	3	µm	µm	X
ma-216	206	4	(	(	PUNCT
ma-216	206	5	26	26	NUM
ma-216	206	6	)	)	PUNCT
ma-216	206	7	taking	take	VERB
ma-216	206	8	n∗h	n∗h	PUNCT
ma-216	206	9	=	=	SYM
ma-216	206	10	s∗h	s∗h	X
ma-216	206	11	and	and	CCONJ
ma-216	206	12	simplifying	simplify	VERB
ma-216	206	13	the	the	DET
ma-216	206	14	expression	expression	NOUN
ma-216	206	15	in	in	ADP
ma-216	206	16	(	(	PUNCT
ma-216	206	17	26	26	NUM
ma-216	206	18	)	)	PUNCT
ma-216	206	19	,	,	PUNCT
ma-216	206	20	we	we	PRON
ma-216	206	21	obtain	obtain	VERB
ma-216	206	22	the	the	DET
ma-216	206	23	reproductive	reproductive	ADJ
ma-216	206	24	number	number	NOUN
ma-216	206	25	of	of	ADP
ma-216	206	26	themodel	themodel	NOUN
ma-216	206	27	given	give	VERB
ma-216	206	28	by	by	ADP
ma-216	206	29	:	:	PUNCT
ma-216	206	30	r0	r0	NOUN
ma-216	206	31	=	=	PUNCT
ma-216	206	32	√	√	PROPN
ma-216	206	33	σγb2βhβmµhkψ	σγb2βhβmµhkψ	PROPN
ma-216	206	34	g0g1g4(m	g0g1g4(m	PROPN
ma-216	206	35	+	+	CCONJ
ma-216	206	36	πh)µ2	πh)µ2	PROPN
ma-216	206	37	m	m	PROPN
ma-216	206	38	(	(	PUNCT
ma-216	206	39	1−	1−	NUM
ma-216	206	40	1	1	NUM
ma-216	206	41	n	n	NOUN
ma-216	206	42	)	)	PUNCT
ma-216	206	43	=	=	SYM
ma-216	207	1	√	√	PROPN
ma-216	207	2	r0h	r0h	PROPN
ma-216	207	3	×	×	PROPN
ma-216	207	4	r0	r0	NOUN
ma-216	207	5	m	m	PROPN
ma-216	207	6	(	(	PUNCT
ma-216	207	7	27	27	NUM
ma-216	207	8	)	)	PUNCT
ma-216	207	9	where	where	SCONJ
ma-216	207	10	:	:	PUNCT
ma-216	207	11	r0h	r0h	VERB
ma-216	207	12	=	=	PUNCT
ma-216	207	13	γbβhµh	γbβhµh	NOUN
ma-216	207	14	g0g1(m	g0g1(m	PROPN
ma-216	207	15	+	+	NUM
ma-216	207	16	πh	πh	NOUN
ma-216	207	17	)	)	PUNCT
ma-216	207	18	and	and	CCONJ
ma-216	207	19	r0	r0	NOUN
ma-216	207	20	m	m	NOUN
ma-216	207	21	=	=	NOUN
ma-216	207	22	σbβmkψ	σbβmkψ	ADJ
ma-216	207	23	g4µ2	g4µ2	NOUN
ma-216	207	24	m	m	PROPN
ma-216	207	25	(	(	PUNCT
ma-216	207	26	1−	1−	NUM
ma-216	207	27	1	1	NUM
ma-216	207	28	n	n	NOUN
ma-216	207	29	)	)	PUNCT
ma-216	207	30	the	the	DET
ma-216	207	31	threshold	threshold	NOUN
ma-216	207	32	quantities	quantity	NOUN
ma-216	207	33	r0h	r0h	VERB
ma-216	207	34	and	and	CCONJ
ma-216	207	35	r0	r0	NOUN
ma-216	207	36	m	m	VERB
ma-216	207	37	characterized	characterize	VERB
ma-216	207	38	the	the	DET
ma-216	207	39	contributions	contribution	NOUN
ma-216	207	40	of	of	ADP
ma-216	207	41	malaria	malaria	NOUN
ma-216	207	42	disease	disease	NOUN
ma-216	207	43	spreadfrom	spreadfrom	VERB
ma-216	207	44	human	human	NOUN
ma-216	207	45	to	to	AUX
ma-216	207	46	mosquito	mosquito	VERB
ma-216	207	47	(	(	PUNCT
ma-216	207	48	host	host	NOUN
ma-216	207	49	to	to	ADP
ma-216	207	50	vector	vector	NOUN
ma-216	207	51	)	)	PUNCT
ma-216	207	52	and	and	CCONJ
ma-216	207	53	from	from	ADP
ma-216	207	54	mosquito	mosquito	NOUN
ma-216	207	55	to	to	ADP
ma-216	207	56	human	human	NOUN
ma-216	207	57	(	(	PUNCT
ma-216	207	58	vector	vector	NOUN
ma-216	207	59	to	to	ADP
ma-216	207	60	host	host	NOUN
ma-216	207	61	)	)	PUNCT
ma-216	207	62	respectively	respectively	ADV
ma-216	207	63	.	.	PUNCT
ma-216	208	1	r0h	r0h	PROPN
ma-216	208	2	represents	represent	VERB
ma-216	208	3	the	the	DET
ma-216	208	4	number	number	NOUN
ma-216	208	5	of	of	ADP
ma-216	208	6	secondary	secondary	ADJ
ma-216	208	7	cases	case	NOUN
ma-216	208	8	of	of	ADP
ma-216	208	9	anopheles	anophele	NOUN
ma-216	208	10	mosquitoes	mosquitoe	VERB
ma-216	208	11	one	one	NUM
ma-216	208	12	infectious	infectious	ADJ
ma-216	208	13	(	(	PUNCT
ma-216	208	14	infectedor	infectedor	PROPN
ma-216	208	15	treated	treat	VERB
ma-216	208	16	)	)	PUNCT
ma-216	208	17	human	human	NOUN
ma-216	208	18	will	will	AUX
ma-216	208	19	generate	generate	VERB
ma-216	208	20	in	in	ADP
ma-216	208	21	a	a	DET
ma-216	208	22	completely	completely	ADV
ma-216	208	23	susceptible	susceptible	ADJ
ma-216	208	24	population	population	NOUN
ma-216	208	25	of	of	ADP
ma-216	208	26	anopheles	anophele	NOUN
ma-216	208	27	mosquitoesduring	mosquitoesdure	VERB
ma-216	208	28	its	its	PRON
ma-216	208	29	infectious	infectious	ADJ
ma-216	208	30	phase	phase	NOUN
ma-216	208	31	.	.	PUNCT
ma-216	209	1	similarly	similarly	ADV
ma-216	209	2	,	,	PUNCT
ma-216	209	3	r0	r0	NOUN
ma-216	209	4	m	m	PROPN
ma-216	209	5	can	can	AUX
ma-216	209	6	be	be	AUX
ma-216	209	7	interpreted	interpret	VERB
ma-216	209	8	as	as	ADP
ma-216	209	9	the	the	DET
ma-216	209	10	number	number	NOUN
ma-216	209	11	of	of	ADP
ma-216	209	12	secondary	secondary	ADJ
ma-216	209	13	humancases	humancase	NOUN
ma-216	209	14	generated	generate	VERB
ma-216	209	15	by	by	ADP
ma-216	209	16	an	an	DET
ma-216	209	17	infected	infected	ADJ
ma-216	209	18	anopheles	anophele	NOUN
ma-216	209	19	mosquito	mosquito	VERB
ma-216	209	20	in	in	ADP
ma-216	209	21	an	an	DET
ma-216	209	22	entirely	entirely	ADV
ma-216	209	23	susceptible	susceptible	ADJ
ma-216	209	24	human	human	ADJ
ma-216	209	25	populationover	populationover	NOUN
ma-216	209	26	the	the	DET
ma-216	209	27	course	course	NOUN
ma-216	209	28	of	of	ADP
ma-216	209	29	its	its	PRON
ma-216	209	30	life	life	NOUN
ma-216	209	31	time	time	NOUN
ma-216	209	32	as	as	ADP
ma-216	209	33	infectious	infectious	ADJ
ma-216	209	34	[	[	X
ma-216	209	35	2	2	NUM
ma-216	209	36	]	]	PUNCT
ma-216	209	37	.	.	PUNCT
ma-216	210	1	2.5	2.5	NUM
ma-216	210	2	.	.	PUNCT
ma-216	211	1	stability	stability	NOUN
ma-216	211	2	of	of	ADP
ma-216	211	3	malaria	malaria	NOUN
ma-216	211	4	-	-	PUNCT
ma-216	211	5	free	free	ADJ
ma-216	211	6	equilibrium	equilibrium	NOUN
ma-216	211	7	.	.	PUNCT
ma-216	212	1	2.5.1	2.5.1	NUM
ma-216	212	2	.	.	PUNCT
ma-216	213	1	local	local	ADJ
ma-216	213	2	stability	stability	NOUN
ma-216	213	3	of	of	ADP
ma-216	213	4	malaria	malaria	NOUN
ma-216	213	5	-	-	PUNCT
ma-216	213	6	free	free	ADJ
ma-216	213	7	equilibrium	equilibrium	NOUN
ma-216	213	8	.	.	PUNCT
ma-216	214	1	theorem	theorem	VERB
ma-216	214	2	4	4	NUM
ma-216	214	3	.	.	PUNCT
ma-216	215	1	the	the	DET
ma-216	215	2	rdfe	rdfe	ADJ
ma-216	215	3	(	(	PUNCT
ma-216	215	4	ξ1	ξ1	NOUN
ma-216	215	5	)	)	PUNCT
ma-216	215	6	=	=	PUNCT
ma-216	215	7	(	(	PUNCT
ma-216	215	8	m+πh	m+πh	NOUN
ma-216	215	9	µh	µh	INTJ
ma-216	215	10	,	,	PUNCT
ma-216	215	11	0	0	NUM
ma-216	215	12	,	,	PUNCT
ma-216	215	13	0	0	NUM
ma-216	215	14	,	,	PUNCT
ma-216	215	15	0	0	NUM
ma-216	215	16	,	,	PUNCT
ma-216	215	17	0	0	NUM
ma-216	215	18	,	,	PUNCT
ma-216	215	19	k	k	X
ma-216	215	20	(	(	PUNCT
ma-216	215	21	1−	1−	NUM
ma-216	215	22	1	1	NUM
ma-216	215	23	n	n	NOUN
ma-216	215	24	)	)	PUNCT
ma-216	215	25	,	,	PUNCT
ma-216	215	26	kψ	kψ	PROPN
ma-216	215	27	µm	µm	X
ma-216	215	28	(	(	PUNCT
ma-216	215	29	1−	1−	NUM
ma-216	215	30	1	1	NUM
ma-216	215	31	n	n	NOUN
ma-216	215	32	)	)	PUNCT
ma-216	215	33	,	,	PUNCT
ma-216	215	34	0	0	NUM
ma-216	215	35	)	)	PUNCT
ma-216	215	36	with	with	ADP
ma-216	215	37	n	n	NOUN
ma-216	215	38	>	>	SYM
ma-216	215	39	1	1	NUM
ma-216	215	40	is	be	AUX
ma-216	215	41	locally	locally	ADV
ma-216	215	42	asymptotically	asymptotically	ADV
ma-216	215	43	stable	stable	ADJ
ma-216	215	44	(	(	PUNCT
ma-216	215	45	las	las	NOUN
ma-216	215	46	)	)	PUNCT
ma-216	215	47	if	if	SCONJ
ma-216	215	48	r0	r0	NOUN
ma-216	215	49	<	<	X
ma-216	215	50	1	1	NUM
ma-216	215	51	and	and	CCONJ
ma-216	215	52	unstable	unstable	ADJ
ma-216	215	53	if	if	SCONJ
ma-216	215	54	r0	r0	NOUN
ma-216	215	55	>	>	X
ma-216	215	56	1	1	NUM
ma-216	215	57	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	215	58	eur	eur	PROPN
ma-216	215	59	.	.	PUNCT
ma-216	216	1	j.	j.	PROPN
ma-216	216	2	math	math	PROPN
ma-216	216	3	.	.	PUNCT
ma-216	217	1	anal	anal	PROPN
ma-216	217	2	.	.	PUNCT
ma-216	218	1	10.28924	10.28924	NUM
ma-216	218	2	/	/	SYM
ma-216	218	3	ada	ada	PROPN
ma-216	218	4	/	/	SYM
ma-216	218	5	ma.4.7	ma.4.7	ADJ
ma-216	218	6	11	11	NUM
ma-216	218	7	proof	proof	NOUN
ma-216	218	8	.	.	PUNCT
ma-216	219	1	let	let	VERB
ma-216	219	2	matrix	matrix	NOUN
ma-216	219	3	j0	j0	PROPN
ma-216	219	4	be	be	AUX
ma-216	219	5	the	the	DET
ma-216	219	6	jacobian	jacobian	ADJ
ma-216	219	7	matrix	matrix	NOUN
ma-216	219	8	of	of	ADP
ma-216	219	9	system	system	NOUN
ma-216	219	10	(	(	PUNCT
ma-216	219	11	3	3	X
ma-216	219	12	)	)	PUNCT
ma-216	219	13	evaluated	evaluate	VERB
ma-216	219	14	at	at	ADP
ma-216	219	15	the	the	DET
ma-216	219	16	rdfe	rdfe	ADJ
ma-216	219	17	(	(	PUNCT
ma-216	219	18	ξ1	ξ1	NOUN
ma-216	219	19	)	)	PUNCT
ma-216	219	20	.	.	PUNCT
ma-216	220	1	thus	thus	ADV
ma-216	220	2	,	,	PUNCT
ma-216	220	3	j0	j0	PROPN
ma-216	220	4	=	=	SYM
ma-216	220	5			ADJ
ma-216	220	6	−µh	−µh	PROPN
ma-216	220	7	0	0	NUM
ma-216	220	8	0	0	NUM
ma-216	220	9	ϕ	ϕ	NOUN
ma-216	220	10	0	0	NUM
ma-216	220	11	0	0	NUM
ma-216	220	12	0	0	NUM
ma-216	220	13	−bβhs	−bβhs	NOUN
ma-216	220	14	∗	∗	NOUN
ma-216	220	15	h	h	PROPN
ma-216	220	16	n∗h	n∗h	NUM
ma-216	220	17	0	0	NUM
ma-216	221	1	−g0	−g0	NOUN
ma-216	221	2	0	0	NUM
ma-216	221	3	0	0	NUM
ma-216	221	4	0	0	NUM
ma-216	221	5	0	0	SYM
ma-216	221	6	0	0	NUM
ma-216	221	7	bβhs	bβhs	PROPN
ma-216	221	8	∗	∗	PROPN
ma-216	221	9	h	h	PROPN
ma-216	221	10	n∗h	n∗h	NUM
ma-216	221	11	0	0	NUM
ma-216	222	1	γ	γ	X
ma-216	222	2	−g1	−g1	VERB
ma-216	222	3	0	0	NUM
ma-216	222	4	0	0	NUM
ma-216	222	5	0	0	NUM
ma-216	222	6	0	0	NUM
ma-216	222	7	0	0	NUM
ma-216	222	8	0	0	NUM
ma-216	222	9	ω	ω	NUM
ma-216	222	10	τ	τ	X
ma-216	223	1	−g2	−g2	ADJ
ma-216	223	2	0	0	NUM
ma-216	223	3	0	0	NUM
ma-216	223	4	0	0	NUM
ma-216	223	5	0	0	NUM
ma-216	223	6	0	0	NUM
ma-216	223	7	0	0	NUM
ma-216	223	8	0	0	NUM
ma-216	223	9	0	0	NUM
ma-216	223	10	−	−	PROPN
ma-216	223	11	(	(	PUNCT
ma-216	223	12	g3	g3	NOUN
ma-216	223	13	+	+	CCONJ
ma-216	223	14	πms∗m	πms∗m	PROPN
ma-216	223	15	k	k	NOUN
ma-216	223	16	)	)	PUNCT
ma-216	223	17	πm	πm	ADP
ma-216	223	18	n	n	ADV
ma-216	223	19	πm	πm	ADP
ma-216	223	20	n	n	ADV
ma-216	223	21	πm	πm	ADP
ma-216	223	22	n	n	ADV
ma-216	223	23	0	0	NUM
ma-216	223	24	0	0	NUM
ma-216	224	1	−bβms	−bβm	NOUN
ma-216	224	2	∗	∗	X
ma-216	224	3	m	m	VERB
ma-216	224	4	n∗h	n∗h	NUM
ma-216	224	5	0	0	NUM
ma-216	224	6	ψ	ψ	SYM
ma-216	224	7	−µm	−µm	NOUN
ma-216	224	8	0	0	SYM
ma-216	224	9	0	0	NUM
ma-216	224	10	0	0	NUM
ma-216	224	11	0	0	NUM
ma-216	224	12	bβms∗m	bβms∗m	NOUN
ma-216	224	13	n∗h	n∗h	NUM
ma-216	224	14	0	0	NUM
ma-216	224	15	0	0	NUM
ma-216	224	16	0	0	NUM
ma-216	224	17	−g4	−g4	NOUN
ma-216	224	18	0	0	NUM
ma-216	224	19	0	0	NUM
ma-216	224	20	0	0	NUM
ma-216	224	21	0	0	NUM
ma-216	224	22	0	0	NUM
ma-216	224	23	0	0	NUM
ma-216	224	24	0	0	NUM
ma-216	224	25	σ	σ	NOUN
ma-216	224	26	−µm	−µm	X
ma-216	224	27			NOUN
ma-216	224	28	(	(	PUNCT
ma-216	224	29	28	28	NUM
ma-216	224	30	)	)	PUNCT
ma-216	224	31	it	it	PRON
ma-216	224	32	is	be	AUX
ma-216	224	33	not	not	PART
ma-216	224	34	hard	hard	ADJ
ma-216	224	35	to	to	PART
ma-216	224	36	see	see	VERB
ma-216	224	37	that	that	SCONJ
ma-216	224	38	the	the	DET
ma-216	224	39	matrix	matrix	NOUN
ma-216	224	40	in	in	ADP
ma-216	224	41	(	(	PUNCT
ma-216	224	42	28	28	NUM
ma-216	224	43	)	)	PUNCT
ma-216	224	44	admits	admit	VERB
ma-216	224	45	two	two	NUM
ma-216	224	46	negative	negative	ADJ
ma-216	224	47	eigenvalues	eigenvalue	NOUN
ma-216	224	48	,	,	PUNCT
ma-216	224	49	namely	namely	ADV
ma-216	224	50	λ1	λ1	VERB
ma-216	224	51	=	=	PUNCT
ma-216	224	52	−µh	−µh	NOUN
ma-216	224	53	and	and	CCONJ
ma-216	224	54	λ2	λ2	NOUN
ma-216	224	55	=	=	SYM
ma-216	224	56	−g2	−g2	ADJ
ma-216	224	57	.	.	PUNCT
ma-216	225	1	using	use	VERB
ma-216	225	2	the	the	DET
ma-216	225	3	matrix	matrix	NOUN
ma-216	225	4	reduction	reduction	NOUN
ma-216	225	5	method	method	NOUN
ma-216	225	6	,	,	PUNCT
ma-216	225	7	the	the	DET
ma-216	225	8	remaining	remain	VERB
ma-216	225	9	eigenvalues	eigenvalue	NOUN
ma-216	225	10	can	can	AUX
ma-216	225	11	be	be	AUX
ma-216	225	12	obtained	obtain	VERB
ma-216	225	13	from	from	ADP
ma-216	225	14	thesub	thesub	NOUN
ma-216	225	15	-	-	NOUN
ma-216	225	16	matrix	matrix	NOUN
ma-216	225	17	in	in	ADP
ma-216	225	18	(	(	PUNCT
ma-216	225	19	29	29	NUM
ma-216	225	20	)	)	PUNCT
ma-216	225	21	below	below	ADV
ma-216	225	22	:	:	PUNCT
ma-216	225	23	j1	j1	PROPN
ma-216	225	24	=	=	PUNCT
ma-216	225	25			NOUN
ma-216	225	26	−g0	−g0	VERB
ma-216	225	27	0	0	NUM
ma-216	225	28	0	0	NUM
ma-216	225	29	0	0	SYM
ma-216	225	30	0	0	NUM
ma-216	225	31	bβhs	bβhs	PROPN
ma-216	225	32	∗	∗	PROPN
ma-216	225	33	h	h	PROPN
ma-216	225	34	n∗h	n∗h	PUNCT
ma-216	225	35	γ	γ	X
ma-216	225	36	−g1	−g1	VERB
ma-216	225	37	0	0	NUM
ma-216	225	38	0	0	NUM
ma-216	225	39	0	0	NUM
ma-216	225	40	0	0	NUM
ma-216	225	41	0	0	NUM
ma-216	225	42	0	0	NUM
ma-216	226	1	−	−	PROPN
ma-216	226	2	(	(	PUNCT
ma-216	226	3	g3	g3	NOUN
ma-216	226	4	+	+	CCONJ
ma-216	226	5	πms∗m	πms∗m	PROPN
ma-216	226	6	k	k	NOUN
ma-216	226	7	)	)	PUNCT
ma-216	226	8	πm	πm	ADP
ma-216	226	9	n	n	ADV
ma-216	226	10	πm	πm	ADP
ma-216	226	11	n	n	ADV
ma-216	226	12	πm	πm	ADP
ma-216	226	13	n	n	PROPN
ma-216	226	14	0	0	NUM
ma-216	227	1	−bβms	−bβm	NOUN
ma-216	227	2	∗	∗	X
ma-216	227	3	m	m	VERB
ma-216	227	4	n∗h	n∗h	NUM
ma-216	227	5	ψ	ψ	X
ma-216	227	6	−µm	−µm	X
ma-216	227	7	0	0	SYM
ma-216	227	8	0	0	NUM
ma-216	227	9	0	0	NUM
ma-216	227	10	bβms∗m	bβms∗m	NOUN
ma-216	227	11	n∗h	n∗h	NUM
ma-216	227	12	0	0	NUM
ma-216	227	13	0	0	NUM
ma-216	227	14	−g4	−g4	NOUN
ma-216	227	15	0	0	NUM
ma-216	227	16	0	0	NUM
ma-216	227	17	0	0	NUM
ma-216	227	18	0	0	NUM
ma-216	227	19	0	0	NUM
ma-216	227	20	σ	σ	PROPN
ma-216	227	21	−µm	−µm	X
ma-216	227	22			PROPN
ma-216	227	23	(	(	PUNCT
ma-216	227	24	29	29	NUM
ma-216	227	25	)	)	PUNCT
ma-216	227	26	the	the	DET
ma-216	227	27	characteristic	characteristic	ADJ
ma-216	227	28	equation	equation	NOUN
ma-216	227	29	of	of	ADP
ma-216	227	30	the	the	DET
ma-216	227	31	sub	sub	NOUN
ma-216	227	32	-	-	NOUN
ma-216	227	33	matrix	matrix	NOUN
ma-216	227	34	in	in	ADP
ma-216	227	35	(	(	PUNCT
ma-216	227	36	29	29	NUM
ma-216	227	37	)	)	PUNCT
ma-216	227	38	is	be	AUX
ma-216	227	39	given	give	VERB
ma-216	227	40	by	by	ADP
ma-216	227	41	(	(	PUNCT
ma-216	227	42	λ+	λ+	PUNCT
ma-216	227	43	g0)(λ+	g0)(λ+	NOUN
ma-216	227	44	g1)(λ+	g1)(λ+	PROPN
ma-216	227	45	g4)(λ+	g4)(λ+	PROPN
ma-216	227	46	µm	µm	ADP
ma-216	227	47	)	)	PUNCT
ma-216	227	48	(	(	PUNCT
ma-216	227	49	λ2	λ2	NOUN
ma-216	227	50	+	+	NUM
ma-216	227	51	sλ+	sλ+	NOUN
ma-216	227	52	p	p	NOUN
ma-216	227	53	)	)	PUNCT
ma-216	227	54	=	=	SYM
ma-216	227	55	0	0	NUM
ma-216	227	56	(	(	PUNCT
ma-216	227	57	30	30	NUM
ma-216	227	58	)	)	PUNCT
ma-216	228	1	where	where	SCONJ
ma-216	228	2	:	:	PUNCT
ma-216	228	3	s	s	X
ma-216	228	4	=	=	PUNCT
ma-216	228	5	πms∗m	πms∗m	PROPN
ma-216	228	6	k	k	PROPN
ma-216	228	7	+	+	CCONJ
ma-216	228	8	g3	g3	PROPN
ma-216	228	9	+	+	CCONJ
ma-216	228	10	µm	µm	NOUN
ma-216	228	11	,	,	PUNCT
ma-216	228	12	and	and	CCONJ
ma-216	228	13	p	p	NOUN
ma-216	228	14	=	=	SYM
ma-216	228	15	πmµms∗m	πmµms∗m	ADJ
ma-216	228	16	kit	kit	NOUN
ma-216	228	17	can	can	AUX
ma-216	228	18	clearly	clearly	ADV
ma-216	228	19	be	be	AUX
ma-216	228	20	seen	see	VERB
ma-216	228	21	from	from	ADP
ma-216	228	22	(	(	PUNCT
ma-216	228	23	30	30	NUM
ma-216	228	24	)	)	PUNCT
ma-216	228	25	that	that	SCONJ
ma-216	228	26	four	four	NUM
ma-216	228	27	eigenvalues	eigenvalue	NOUN
ma-216	228	28	of	of	ADP
ma-216	228	29	the	the	DET
ma-216	228	30	sub	sub	NOUN
ma-216	228	31	-	-	NOUN
ma-216	228	32	matrix	matrix	NOUN
ma-216	228	33	in	in	ADP
ma-216	228	34	(	(	PUNCT
ma-216	228	35	29	29	NUM
ma-216	228	36	)	)	PUNCT
ma-216	228	37	λ3	λ3	PROPN
ma-216	228	38	=	=	SYM
ma-216	228	39	−g0	−g0	PROPN
ma-216	228	40	,	,	PUNCT
ma-216	228	41	λ4	λ4	PROPN
ma-216	228	42	=	=	AUX
ma-216	228	43	−g1	−g1	VERB
ma-216	228	44	,	,	PUNCT
ma-216	228	45	λ5	λ5	PROPN
ma-216	228	46	=	=	SYM
ma-216	228	47	−g4	−g4	PROPN
ma-216	228	48	,	,	PUNCT
ma-216	228	49	and	and	CCONJ
ma-216	228	50	λ6	λ6	PROPN
ma-216	228	51	=	=	PUNCT
ma-216	228	52	−µm	−µm	PROPN
ma-216	228	53	are	be	AUX
ma-216	228	54	negative	negative	ADJ
ma-216	228	55	.	.	PUNCT
ma-216	229	1	also	also	ADV
ma-216	229	2	,	,	PUNCT
ma-216	229	3	the	the	DET
ma-216	229	4	nature	nature	NOUN
ma-216	229	5	of	of	ADP
ma-216	229	6	the	the	DET
ma-216	229	7	remaining	remain	VERB
ma-216	229	8	twoeigenvalues	twoeigenvalue	NOUN
ma-216	229	9	of	of	ADP
ma-216	229	10	the	the	DET
ma-216	229	11	sub	sub	NOUN
ma-216	229	12	-	-	NOUN
ma-216	229	13	matrix	matrix	NOUN
ma-216	229	14	in	in	ADP
ma-216	229	15	(	(	PUNCT
ma-216	229	16	29	29	NUM
ma-216	229	17	)	)	PUNCT
ma-216	229	18	are	be	AUX
ma-216	229	19	determined	determine	VERB
ma-216	229	20	from	from	ADP
ma-216	229	21	:	:	PUNCT
ma-216	229	22	λ2	λ2	NOUN
ma-216	229	23	+	+	X
ma-216	230	1	sλ+	sλ+	NOUN
ma-216	230	2	p	p	X
ma-216	231	1	=	=	SYM
ma-216	231	2	0	0	NUM
ma-216	231	3	(	(	PUNCT
ma-216	231	4	31	31	NUM
ma-216	231	5	)	)	PUNCT
ma-216	231	6	since	since	SCONJ
ma-216	231	7	,	,	PUNCT
ma-216	231	8	s	s	X
ma-216	231	9	and	and	CCONJ
ma-216	231	10	p	p	NOUN
ma-216	231	11	are	be	AUX
ma-216	231	12	positive	positive	ADJ
ma-216	231	13	whenever	whenever	SCONJ
ma-216	231	14	n	n	PROPN
ma-216	231	15	>	>	X
ma-216	231	16	1	1	NUM
ma-216	231	17	,	,	PUNCT
ma-216	231	18	it	it	PRON
ma-216	231	19	implies	imply	VERB
ma-216	231	20	that	that	SCONJ
ma-216	231	21	the	the	DET
ma-216	231	22	two	two	NUM
ma-216	231	23	remaining	remain	VERB
ma-216	231	24	eigenvalues	eigenvalue	NOUN
ma-216	231	25	ofthe	ofthe	ADJ
ma-216	231	26	sub	sub	ADJ
ma-216	231	27	-	-	ADJ
ma-216	231	28	matrix	matrix	ADJ
ma-216	231	29	j1	j1	NOUN
ma-216	231	30	are	be	AUX
ma-216	231	31	stricly	stricly	ADV
ma-216	231	32	negative	negative	ADJ
ma-216	231	33	.	.	PUNCT
ma-216	232	1	consequently	consequently	ADV
ma-216	232	2	,	,	PUNCT
ma-216	232	3	all	all	PRON
ma-216	232	4	eigenvalues	eigenvalue	VERB
ma-216	232	5	of	of	ADP
ma-216	232	6	the	the	DET
ma-216	232	7	matrix	matrix	NOUN
ma-216	232	8	j0	j0	PROPN
ma-216	232	9	are	be	AUX
ma-216	232	10	real	real	ADV
ma-216	232	11	andnegative	andnegative	ADJ
ma-216	232	12	.	.	PUNCT
ma-216	233	1	hence	hence	ADV
ma-216	233	2	,	,	PUNCT
ma-216	233	3	according	accord	VERB
ma-216	233	4	to	to	ADP
ma-216	233	5	the	the	DET
ma-216	233	6	routh	routh	PROPN
ma-216	233	7	-	-	PUNCT
ma-216	233	8	hurwitz	hurwitz	PROPN
ma-216	233	9	stability	stability	NOUN
ma-216	233	10	criterion	criterion	NOUN
ma-216	233	11	,	,	PUNCT
ma-216	233	12	the	the	DET
ma-216	233	13	malaria	malaria	NOUN
ma-216	233	14	realistic	realistic	ADJ
ma-216	233	15	disease	disease	NOUN
ma-216	233	16	-	-	PUNCT
ma-216	233	17	free	free	ADJ
ma-216	233	18	equilibrium	equilibrium	NOUN
ma-216	233	19	state	state	NOUN
ma-216	233	20	ξ1	ξ1	NOUN
ma-216	233	21	is	be	AUX
ma-216	233	22	locally	locally	ADV
ma-216	233	23	asymptotically	asymptotically	ADV
ma-216	233	24	stable	stable	ADJ
ma-216	233	25	when	when	SCONJ
ma-216	233	26	n	n	CCONJ
ma-216	233	27	>	>	X
ma-216	233	28	1	1	NUM
ma-216	233	29	and	and	CCONJ
ma-216	233	30	r0	r0	VERB
ma-216	233	31	<	<	X
ma-216	233	32	1	1	NUM
ma-216	233	33	and	and	CCONJ
ma-216	233	34	unstableotherwise	unstableotherwise	NOUN
ma-216	233	35	.	.	PUNCT
ma-216	234	1	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	234	2	eur	eur	PROPN
ma-216	234	3	.	.	PUNCT
ma-216	235	1	j.	j.	PROPN
ma-216	235	2	math	math	PROPN
ma-216	235	3	.	.	PUNCT
ma-216	236	1	anal	anal	PROPN
ma-216	236	2	.	.	PUNCT
ma-216	237	1	10.28924	10.28924	NUM
ma-216	237	2	/	/	SYM
ma-216	237	3	ada	ada	PROPN
ma-216	237	4	/	/	SYM
ma-216	237	5	ma.4.7	ma.4.7	ADJ
ma-216	237	6	122.5.2	122.5.2	PROPN
ma-216	237	7	.	.	PUNCT
ma-216	238	1	global	global	ADJ
ma-216	238	2	stability	stability	NOUN
ma-216	238	3	of	of	ADP
ma-216	238	4	malaria	malaria	NOUN
ma-216	238	5	-	-	PUNCT
ma-216	238	6	free	free	ADJ
ma-216	238	7	equilibrium	equilibrium	NOUN
ma-216	238	8	.	.	PUNCT
ma-216	239	1	following	follow	VERB
ma-216	239	2	[	[	X
ma-216	239	3	19	19	NUM
ma-216	239	4	,	,	PUNCT
ma-216	239	5	24–27	24–27	NUM
ma-216	239	6	]	]	PUNCT
ma-216	239	7	,	,	PUNCT
ma-216	239	8	the	the	DET
ma-216	239	9	global	global	ADJ
ma-216	239	10	stability	stability	NOUN
ma-216	239	11	ofa	ofa	PROPN
ma-216	239	12	system	system	NOUN
ma-216	239	13	equilibrium	equilibrium	NOUN
ma-216	239	14	point	point	NOUN
ma-216	239	15	can	can	AUX
ma-216	239	16	be	be	AUX
ma-216	239	17	established	establish	VERB
ma-216	239	18	by	by	ADP
ma-216	239	19	first	first	ADV
ma-216	239	20	expressing	express	VERB
ma-216	239	21	the	the	DET
ma-216	239	22	system	system	NOUN
ma-216	239	23	in	in	ADP
ma-216	239	24	a	a	DET
ma-216	239	25	triangular	triangular	NOUN
ma-216	239	26	formas	forma	NOUN
ma-216	239	27	follows	follow	VERB
ma-216	239	28	:	:	PUNCT
ma-216	240	1	dys	dys	ADJ
ma-216	240	2	dt	dt	X
ma-216	240	3	=	=	SYM
ma-216	240	4	b1	b1	PROPN
ma-216	240	5	(	(	PUNCT
ma-216	240	6	ys	ys	NOUN
ma-216	240	7	−	−	PROPN
ma-216	240	8	yrdfe	yrdfe	NOUN
ma-216	240	9	)	)	PUNCT
ma-216	241	1	+	+	PUNCT
ma-216	241	2	b12yi	b12yi	PROPN
ma-216	241	3	d	d	X
ma-216	241	4	yi	yi	NOUN
ma-216	241	5	dt	dt	NOUN
ma-216	241	6	=	=	SYM
ma-216	241	7	b2yi	b2yi	PROPN
ma-216	241	8	(	(	PUNCT
ma-216	241	9	32	32	NUM
ma-216	241	10	)	)	PUNCT
ma-216	241	11	here	here	ADV
ma-216	241	12	,	,	PUNCT
ma-216	241	13	ys	ys	PROPN
ma-216	241	14	and	and	CCONJ
ma-216	241	15	yi	yi	PROPN
ma-216	241	16	denotes	denote	VERB
ma-216	241	17	the	the	DET
ma-216	241	18	compartments	compartment	NOUN
ma-216	241	19	of	of	ADP
ma-216	241	20	non	non	ADJ
ma-216	241	21	-	-	ADJ
ma-216	241	22	transmitting	transmitting	ADJ
ma-216	241	23	and	and	CCONJ
ma-216	241	24	transmitting	transmit	VERB
ma-216	241	25	hosts	host	NOUN
ma-216	241	26	and	and	CCONJ
ma-216	241	27	vec	vec	NOUN
ma-216	241	28	-	-	PUNCT
ma-216	241	29	tors	tor	NOUN
ma-216	241	30	respectively	respectively	ADV
ma-216	241	31	,	,	PUNCT
ma-216	241	32	with	with	SCONJ
ma-216	241	33	ys	ys	NOUN
ma-216	241	34	=	=	SYM
ma-216	241	35	(	(	PUNCT
ma-216	241	36	sh	sh	PROPN
ma-216	241	37	,	,	PUNCT
ma-216	241	38	rh	rh	PROPN
ma-216	241	39	,	,	PUNCT
ma-216	241	40	am	be	AUX
ma-216	241	41	,	,	PUNCT
ma-216	241	42	sm)t	sm)t	PROPN
ma-216	241	43	yi	yi	NOUN
ma-216	241	44	=	=	SYM
ma-216	241	45	(	(	PUNCT
ma-216	241	46	eh	eh	INTJ
ma-216	241	47	,	,	PUNCT
ma-216	241	48	ih	ih	X
ma-216	241	49	,	,	PUNCT
ma-216	241	50	em	em	PRON
ma-216	241	51	,	,	PUNCT
ma-216	241	52	im)t	im)t	PROPN
ma-216	241	53	and	and	CCONJ
ma-216	241	54	yrdfe	yrdfe	ADJ
ma-216	241	55	=(	=(	NOUN
ma-216	241	56	s∗h	s∗h	NUM
ma-216	241	57	,	,	PUNCT
ma-216	241	58	r	r	NOUN
ma-216	241	59	∗	∗	NOUN
ma-216	241	60	h	h	NOUN
ma-216	241	61	,	,	PUNCT
ma-216	241	62	a	a	DET
ma-216	241	63	∗	∗	NOUN
ma-216	241	64	m	m	NOUN
ma-216	241	65	,	,	PUNCT
ma-216	241	66	s	s	PART
ma-216	241	67	∗	∗	NOUN
ma-216	241	68	m	m	NOUN
ma-216	241	69	)	)	PUNCT
ma-216	242	1	=	=	PUNCT
ma-216	242	2	(	(	PUNCT
ma-216	242	3	m+πh	m+πh	NOUN
ma-216	242	4	µh	µh	INTJ
ma-216	242	5	,	,	PUNCT
ma-216	242	6	k	k	PROPN
ma-216	242	7	(	(	PUNCT
ma-216	242	8	1−	1−	NUM
ma-216	242	9	1	1	NUM
ma-216	242	10	n	n	NOUN
ma-216	242	11	)	)	PUNCT
ma-216	242	12	,	,	PUNCT
ma-216	242	13	ψkµm	ψkµm	PROPN
ma-216	242	14	(	(	PUNCT
ma-216	242	15	1−	1−	NUM
ma-216	242	16	1	1	NUM
ma-216	242	17	n	n	NOUN
ma-216	242	18	)	)	PUNCT
ma-216	242	19	)	)	PUNCT
ma-216	243	1	(	(	PUNCT
ma-216	243	2	ys	ys	NOUN
ma-216	243	3	−	−	PROPN
ma-216	243	4	yrdfe	yrdfe	NOUN
ma-216	243	5	)	)	PUNCT
ma-216	243	6	=	=	VERB
ma-216	244	1			ADV
ma-216	244	2	sh	sh	VERB
ma-216	245	1	−	−	PROPN
ma-216	245	2	m+πh	m+πh	NOUN
ma-216	245	3	µh	µh	PROPN
ma-216	245	4	rh	rh	PROPN
ma-216	245	5	am	be	AUX
ma-216	245	6	−k	−k	ADJ
ma-216	245	7	(	(	PUNCT
ma-216	245	8	1−	1−	NUM
ma-216	245	9	1	1	NUM
ma-216	245	10	n	n	NOUN
ma-216	245	11	)	)	PUNCT
ma-216	246	1	sm	sm	INTJ
ma-216	246	2	−	−	PROPN
ma-216	247	1	kψ	kψ	NOUN
ma-216	247	2	µm	µm	ADP
ma-216	247	3	(	(	PUNCT
ma-216	247	4	1−	1−	NUM
ma-216	247	5	1	1	NUM
ma-216	247	6	n	n	NOUN
ma-216	247	7	)	)	PUNCT
ma-216	247	8	(	(	PUNCT
ma-216	247	9	33	33	NUM
ma-216	247	10	)	)	PUNCT
ma-216	247	11	b1	b1	NOUN
ma-216	247	12	=	=	PROPN
ma-216	247	13	∂ys	∂ys	PROPN
ma-216	247	14	∂(sh	∂(sh	PROPN
ma-216	247	15	,	,	PUNCT
ma-216	247	16	rh	rh	PROPN
ma-216	247	17	,	,	PUNCT
ma-216	247	18	am	be	AUX
ma-216	247	19	,	,	PUNCT
ma-216	247	20	sm	sm	PROPN
ma-216	247	21	)	)	PUNCT
ma-216	247	22	(	(	PUNCT
ma-216	247	23	34	34	NUM
ma-216	247	24	)	)	PUNCT
ma-216	247	25	b12	b12	NOUN
ma-216	247	26	=	=	SYM
ma-216	247	27	∂ys	∂ys	PROPN
ma-216	247	28	∂(eh	∂(eh	ADV
ma-216	247	29	,	,	PUNCT
ma-216	247	30	ih	ih	PROPN
ma-216	247	31	,	,	PUNCT
ma-216	247	32	em	em	PRON
ma-216	247	33	,	,	PUNCT
ma-216	247	34	i	i	PRON
ma-216	247	35	m	m	VERB
ma-216	247	36	)	)	PUNCT
ma-216	247	37	(	(	PUNCT
ma-216	247	38	35	35	NUM
ma-216	247	39	)	)	PUNCT
ma-216	247	40	b2	b2	NOUN
ma-216	247	41	=	=	PUNCT
ma-216	247	42	∂yi	∂yi	PROPN
ma-216	247	43	∂(eh	∂(eh	ADV
ma-216	247	44	,	,	PUNCT
ma-216	247	45	ih	ih	INTJ
ma-216	247	46	,	,	PUNCT
ma-216	247	47	em	em	PRON
ma-216	247	48	,	,	PUNCT
ma-216	247	49	i	i	PRON
ma-216	247	50	m	m	VERB
ma-216	247	51	)	)	PUNCT
ma-216	248	1	(	(	PUNCT
ma-216	248	2	36)using	36)use	VERB
ma-216	248	3	our	our	PRON
ma-216	248	4	model	model	NOUN
ma-216	248	5	system	system	NOUN
ma-216	248	6	of	of	ADP
ma-216	248	7	equations	equation	NOUN
ma-216	248	8	system	system	NOUN
ma-216	248	9	(	(	PUNCT
ma-216	248	10	3	3	NUM
ma-216	248	11	)	)	PUNCT
ma-216	248	12	,	,	PUNCT
ma-216	248	13	we	we	PRON
ma-216	248	14	get	get	VERB
ma-216	248	15	:	:	PUNCT
ma-216	248	16	b1	b1	NOUN
ma-216	248	17	=	=	SYM
ma-216	248	18			ADJ
ma-216	248	19	−µh	−µh	X
ma-216	249	1	ϕ	ϕ	NOUN
ma-216	249	2	0	0	NUM
ma-216	249	3	0	0	SYM
ma-216	249	4	0	0	NUM
ma-216	249	5	−g2	−g2	ADJ
ma-216	249	6	0	0	NUM
ma-216	249	7	0	0	NUM
ma-216	249	8	0	0	NUM
ma-216	249	9	0	0	NUM
ma-216	250	1	−	−	PROPN
ma-216	251	1	(	(	PUNCT
ma-216	251	2	πms∗m	πms∗m	PROPN
ma-216	251	3	k	k	NOUN
ma-216	251	4	+	+	NUM
ma-216	251	5	ψ	ψ	X
ma-216	251	6	+	+	CCONJ
ma-216	251	7	µa	µa	NOUN
ma-216	251	8	)	)	PUNCT
ma-216	251	9	πm	πm	ADP
ma-216	251	10	n	n	ADV
ma-216	251	11	0	0	NUM
ma-216	251	12	0	0	NUM
ma-216	251	13	ψ	ψ	X
ma-216	251	14	−µm	−µm	X
ma-216	251	15			X
ma-216	251	16	(	(	PUNCT
ma-216	251	17	37	37	NUM
ma-216	251	18	)	)	PUNCT
ma-216	251	19	b12	b12	NOUN
ma-216	251	20	=	=	SYM
ma-216	251	21			ADJ
ma-216	251	22	0	0	NUM
ma-216	251	23	0	0	NUM
ma-216	251	24	0	0	NUM
ma-216	251	25	−bβhs	−bβhs	NOUN
ma-216	251	26	∗	∗	NOUN
ma-216	251	27	h	h	PROPN
ma-216	251	28	n∗h	n∗h	PUNCT
ma-216	251	29	ω	ω	X
ma-216	251	30	τ	τ	X
ma-216	251	31	0	0	NUM
ma-216	251	32	0	0	NUM
ma-216	251	33	0	0	NUM
ma-216	251	34	0	0	NUM
ma-216	251	35	πm	πm	ADP
ma-216	251	36	n	n	PROPN
ma-216	251	37	πm	πm	ADP
ma-216	251	38	n	n	PROPN
ma-216	251	39	0	0	NUM
ma-216	252	1	−bβms	−bβm	NOUN
ma-216	252	2	∗	∗	X
ma-216	252	3	m	m	VERB
ma-216	252	4	n∗h	n∗h	NUM
ma-216	252	5	0	0	NUM
ma-216	252	6	0	0	NUM
ma-216	253	1			PRON
ma-216	253	2	(	(	PUNCT
ma-216	253	3	38	38	NUM
ma-216	253	4	)	)	PUNCT
ma-216	253	5	b2	b2	NOUN
ma-216	253	6	=	=	SYM
ma-216	253	7			ADJ
ma-216	253	8	−g2	−g2	ADJ
ma-216	253	9	0	0	NUM
ma-216	253	10	0	0	NUM
ma-216	253	11	bβhs	bβhs	PROPN
ma-216	253	12	∗	∗	PROPN
ma-216	253	13	h	h	PROPN
ma-216	253	14	n∗h	n∗h	PUNCT
ma-216	253	15	γ	γ	X
ma-216	253	16	−g1	−g1	VERB
ma-216	253	17	0	0	NUM
ma-216	253	18	0	0	NUM
ma-216	253	19	0	0	NUM
ma-216	253	20	bβms∗m	bβms∗m	NOUN
ma-216	253	21	n∗h	n∗h	PUNCT
ma-216	253	22	−g4	−g4	PROPN
ma-216	253	23	0	0	NUM
ma-216	253	24	0	0	NUM
ma-216	253	25	0	0	NUM
ma-216	254	1	σ	σ	NOUN
ma-216	254	2	−µm	−µm	X
ma-216	254	3			NOUN
ma-216	254	4	(	(	PUNCT
ma-216	254	5	39	39	NUM
ma-216	254	6	)	)	PUNCT
ma-216	254	7	from	from	ADP
ma-216	254	8	the	the	DET
ma-216	254	9	above	above	ADV
ma-216	254	10	we	we	PRON
ma-216	254	11	formulate	formulate	VERB
ma-216	254	12	the	the	DET
ma-216	254	13	theorem	theorem	NOUN
ma-216	254	14	as	as	SCONJ
ma-216	254	15	follows	follow	VERB
ma-216	254	16	.	.	PUNCT
ma-216	255	1	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	255	2	eur	eur	PROPN
ma-216	255	3	.	.	PUNCT
ma-216	256	1	j.	j.	PROPN
ma-216	256	2	math	math	PROPN
ma-216	256	3	.	.	PUNCT
ma-216	257	1	anal	anal	PROPN
ma-216	257	2	.	.	PUNCT
ma-216	258	1	10.28924	10.28924	NUM
ma-216	258	2	/	/	SYM
ma-216	258	3	ada	ada	PROPN
ma-216	258	4	/	/	SYM
ma-216	258	5	ma.4.7	ma.4.7	ADJ
ma-216	258	6	13	13	NUM
ma-216	258	7	theorem	theorem	NOUN
ma-216	258	8	5	5	NUM
ma-216	258	9	.	.	PUNCT
ma-216	259	1	the	the	DET
ma-216	259	2	system	system	NOUN
ma-216	259	3	dys	dys	NOUN
ma-216	259	4	dt	dt	NOUN
ma-216	259	5	=	=	SYM
ma-216	259	6	b1	b1	PROPN
ma-216	259	7	(	(	PUNCT
ma-216	259	8	ys	ys	NOUN
ma-216	259	9	−	−	PROPN
ma-216	259	10	yrdfe)+b12yi	yrdfe)+b12yi	NOUN
ma-216	259	11	is	be	AUX
ma-216	259	12	globally	globally	ADV
ma-216	259	13	asymptotically	asymptotically	ADV
ma-216	259	14	stable	stable	ADJ
ma-216	259	15	(	(	PUNCT
ma-216	259	16	gas	gas	NOUN
ma-216	259	17	)	)	PUNCT
ma-216	259	18	at	at	ADP
ma-216	259	19	the	the	DET
ma-216	259	20	rdfe	rdfe	NOUN
ma-216	259	21	when	when	SCONJ
ma-216	259	22	all	all	DET
ma-216	259	23	eigenvalues	eigenvalue	NOUN
ma-216	259	24	of	of	ADP
ma-216	259	25	matrix	matrix	NOUN
ma-216	259	26	b1	b1	NOUN
ma-216	259	27	have	have	VERB
ma-216	259	28	negative	negative	ADJ
ma-216	259	29	real	real	ADJ
ma-216	259	30	parts	part	NOUN
ma-216	259	31	and	and	CCONJ
ma-216	259	32	b2	b2	NOUN
ma-216	259	33	is	be	AUX
ma-216	259	34	a	a	DET
ma-216	259	35	metzler	metzler	NOUN
ma-216	259	36	matrix	matrix	NOUN
ma-216	259	37	.	.	PUNCT
ma-216	260	1	proof.clearly	proof.clearly	ADV
ma-216	260	2	,	,	PUNCT
ma-216	260	3	two	two	NUM
ma-216	260	4	eigenvalues	eigenvalue	NOUN
ma-216	260	5	of	of	ADP
ma-216	260	6	the	the	DET
ma-216	260	7	matrix	matrix	NOUN
ma-216	260	8	b1	b1	NOUN
ma-216	260	9	are	be	AUX
ma-216	260	10	λ1	λ1	ADJ
ma-216	260	11	=	=	PUNCT
ma-216	260	12	−µh	−µh	NOUN
ma-216	260	13	and	and	CCONJ
ma-216	260	14	λ2	λ2	PROPN
ma-216	260	15	=	=	SYM
ma-216	260	16	−g2	−g2	ADJ
ma-216	260	17	.	.	PUNCT
ma-216	261	1	thus	thus	ADV
ma-216	261	2	,	,	PUNCT
ma-216	261	3	applying	apply	VERB
ma-216	261	4	themethod	themethod	NOUN
ma-216	261	5	of	of	ADP
ma-216	261	6	matrix	matrix	NOUN
ma-216	261	7	reduction	reduction	NOUN
ma-216	261	8	,	,	PUNCT
ma-216	261	9	b1	b1	NOUN
ma-216	261	10	reduces	reduce	VERB
ma-216	261	11	to	to	ADP
ma-216	261	12	the	the	DET
ma-216	261	13	sub	sub	NOUN
ma-216	261	14	-	-	NOUN
ma-216	261	15	matrix	matrix	NOUN
ma-216	261	16	:	:	PUNCT
ma-216	261	17	a	a	DET
ma-216	261	18	=	=	X
ma-216	261	19	−(πms∗mk	−(πms∗mk	PROPN
ma-216	261	20	+	+	NUM
ma-216	261	21	g3	g3	PROPN
ma-216	261	22	)	)	PUNCT
ma-216	261	23	πm	πm	ADP
ma-216	261	24	n	n	PART
ma-216	261	25	ψ	ψ	X
ma-216	261	26	−µm	−µm	X
ma-216	261	27			PROPN
ma-216	261	28	(	(	PUNCT
ma-216	261	29	40	40	NUM
ma-216	261	30	)	)	PUNCT
ma-216	261	31	the	the	DET
ma-216	261	32	nature	nature	NOUN
ma-216	261	33	of	of	ADP
ma-216	261	34	the	the	DET
ma-216	261	35	remaining	remain	VERB
ma-216	261	36	two	two	NUM
ma-216	261	37	eigenvalues	eigenvalue	NOUN
ma-216	261	38	of	of	ADP
ma-216	261	39	b1	b1	NOUN
ma-216	261	40	are	be	AUX
ma-216	261	41	determined	determine	VERB
ma-216	261	42	from	from	ADP
ma-216	261	43	characteristic	characteristic	ADJ
ma-216	261	44	equation	equation	NOUN
ma-216	261	45	:	:	PUNCT
ma-216	261	46	λ2	λ2	NOUN
ma-216	261	47	+	+	CCONJ
ma-216	261	48	(	(	PUNCT
ma-216	261	49	g3	g3	NOUN
ma-216	261	50	+	+	CCONJ
ma-216	261	51	µm	µm	ADP
ma-216	261	52	+	+	NOUN
ma-216	261	53	πms	πms	NOUN
ma-216	261	54	∗	∗	NOUN
ma-216	261	55	m	m	NOUN
ma-216	261	56	k	k	NOUN
ma-216	261	57	)	)	PUNCT
ma-216	261	58	λ+	λ+	PUNCT
ma-216	261	59	πmψ	πmψ	NOUN
ma-216	261	60	(	(	PUNCT
ma-216	261	61	1−	1−	NUM
ma-216	261	62	1	1	NUM
ma-216	261	63	n	n	NOUN
ma-216	261	64	)	)	PUNCT
ma-216	261	65	=	=	SYM
ma-216	261	66	0	0	PUNCT
ma-216	262	1	(	(	PUNCT
ma-216	262	2	41	41	NUM
ma-216	262	3	)	)	PUNCT
ma-216	262	4	since	since	SCONJ
ma-216	262	5	in	in	ADP
ma-216	262	6	equation	equation	NOUN
ma-216	262	7	(	(	PUNCT
ma-216	262	8	41	41	NUM
ma-216	262	9	)	)	PUNCT
ma-216	262	10	,	,	PUNCT
ma-216	263	1	g3+µm	g3+µm	X
ma-216	264	1	+	+	PUNCT
ma-216	264	2	πms∗m	πms∗m	PROPN
ma-216	264	3	k	k	NOUN
ma-216	264	4	>	>	X
ma-216	264	5	0	0	PUNCT
ma-216	265	1	and	and	CCONJ
ma-216	265	2	πmψ	πmψ	NOUN
ma-216	265	3	(	(	PUNCT
ma-216	265	4	1−	1−	NUM
ma-216	265	5	1	1	NUM
ma-216	265	6	n	n	NOUN
ma-216	265	7	)	)	PUNCT
ma-216	265	8	>	>	X
ma-216	265	9	0	0	PUNCT
ma-216	266	1	whenever	whenever	SCONJ
ma-216	266	2	n	n	CCONJ
ma-216	266	3	>	>	X
ma-216	266	4	1	1	NUM
ma-216	266	5	,	,	PUNCT
ma-216	266	6	we	we	PRON
ma-216	266	7	concludeusing	concludeuse	VERB
ma-216	266	8	the	the	DET
ma-216	266	9	routh	routh	PROPN
ma-216	266	10	-	-	PUNCT
ma-216	266	11	hurwitz	hurwitz	PROPN
ma-216	266	12	stability	stability	NOUN
ma-216	266	13	condition	condition	NOUN
ma-216	266	14	,	,	PUNCT
ma-216	266	15	that	that	SCONJ
ma-216	266	16	the	the	DET
ma-216	266	17	eigenvalues	eigenvalues	PROPN
ma-216	266	18	λ3	λ3	PROPN
ma-216	266	19	and	and	CCONJ
ma-216	266	20	λ4	λ4	PROPN
ma-216	266	21	have	have	VERB
ma-216	266	22	negative	negative	ADJ
ma-216	266	23	realparts	realpart	NOUN
ma-216	266	24	.	.	PUNCT
ma-216	267	1	hence	hence	ADV
ma-216	267	2	,	,	PUNCT
ma-216	267	3	all	all	DET
ma-216	267	4	the	the	DET
ma-216	267	5	eigenvalues	eigenvalue	NOUN
ma-216	267	6	of	of	ADP
ma-216	267	7	the	the	DET
ma-216	267	8	matrix	matrix	NOUN
ma-216	267	9	b1	b1	NOUN
ma-216	267	10	have	have	VERB
ma-216	267	11	negative	negative	ADJ
ma-216	267	12	real	real	ADV
ma-216	267	13	parts.additionally	parts.additionally	ADV
ma-216	267	14	,	,	PUNCT
ma-216	267	15	b2	b2	NOUN
ma-216	267	16	is	be	AUX
ma-216	267	17	clearly	clearly	ADV
ma-216	267	18	a	a	DET
ma-216	267	19	metzler	metzler	NOUN
ma-216	267	20	matrix	matrix	NOUN
ma-216	267	21	(	(	PUNCT
ma-216	267	22	since	since	SCONJ
ma-216	267	23	all	all	DET
ma-216	267	24	the	the	DET
ma-216	267	25	off	off	ADJ
ma-216	267	26	diagonal	diagonal	ADJ
ma-216	267	27	entries	entry	NOUN
ma-216	267	28	are	be	AUX
ma-216	267	29	non	non	ADJ
ma-216	267	30	negative).thus	negative).thus	NOUN
ma-216	267	31	,	,	PUNCT
ma-216	267	32	we	we	PRON
ma-216	267	33	conclude	conclude	VERB
ma-216	267	34	that	that	SCONJ
ma-216	267	35	the	the	DET
ma-216	267	36	system	system	NOUN
ma-216	267	37	d	d	X
ma-216	267	38	ys	ys	NOUN
ma-216	267	39	dt	dt	NOUN
ma-216	267	40	=	=	PUNCT
ma-216	267	41	b1	b1	PROPN
ma-216	267	42	(	(	PUNCT
ma-216	267	43	ys	ys	NOUN
ma-216	267	44	−	−	PROPN
ma-216	267	45	yrdfe	yrdfe	NOUN
ma-216	267	46	)	)	PUNCT
ma-216	267	47	+	+	CCONJ
ma-216	267	48	b12yi	b12yi	PROPN
ma-216	267	49	(	(	PUNCT
ma-216	267	50	42	42	NUM
ma-216	267	51	)	)	PUNCT
ma-216	267	52	is	be	AUX
ma-216	267	53	gas	gas	NOUN
ma-216	267	54	at	at	ADP
ma-216	267	55	the	the	DET
ma-216	267	56	realistic	realistic	ADJ
ma-216	267	57	disease	disease	NOUN
ma-216	267	58	free	free	ADJ
ma-216	267	59	equilibrium	equilibrium	NOUN
ma-216	268	1	[	[	X
ma-216	268	2	19,24–27	19,24–27	NUM
ma-216	268	3	]	]	PUNCT
ma-216	268	4	.	.	PUNCT
ma-216	269	1	2.6	2.6	NUM
ma-216	269	2	.	.	PUNCT
ma-216	270	1	malaria	malaria	ADJ
ma-216	270	2	endemic	endemic	ADJ
ma-216	270	3	equilibrium	equilibrium	NOUN
ma-216	270	4	.	.	PUNCT
ma-216	271	1	let	let	VERB
ma-216	271	2	ξ2	ξ2	NOUN
ma-216	271	3	=	=	SYM
ma-216	271	4	(	(	PUNCT
ma-216	271	5	s∗∗h	s∗∗h	PROPN
ma-216	271	6	,	,	PUNCT
ma-216	271	7	e	e	PROPN
ma-216	272	1	∗∗	∗∗	PROPN
ma-216	272	2	h	h	NOUN
ma-216	272	3	,	,	PUNCT
ma-216	273	1	i	i	PRON
ma-216	273	2	∗∗	∗∗	NOUN
ma-216	274	1	h	h	NOUN
ma-216	274	2	,	,	PUNCT
ma-216	274	3	r	r	NOUN
ma-216	274	4	∗∗	∗∗	PROPN
ma-216	274	5	h	h	NOUN
ma-216	274	6	,	,	PUNCT
ma-216	274	7	a	a	DET
ma-216	274	8	∗∗	∗∗	NOUN
ma-216	274	9	m	m	VERB
ma-216	274	10	,	,	PUNCT
ma-216	274	11	s	s	VERB
ma-216	274	12	∗∗	∗∗	PROPN
ma-216	274	13	m	m	VERB
ma-216	274	14	,	,	PUNCT
ma-216	274	15	e	e	X
ma-216	274	16	∗∗	∗∗	PROPN
ma-216	274	17	m	m	VERB
ma-216	274	18	,	,	PUNCT
ma-216	275	1	i	i	PRON
ma-216	275	2	∗∗	∗∗	PROPN
ma-216	275	3	m	m	AUX
ma-216	275	4	)	)	PUNCT
ma-216	275	5	be	be	AUX
ma-216	275	6	theendemic	theendemic	ADJ
ma-216	275	7	equilibrium	equilibrium	NOUN
ma-216	275	8	(	(	PUNCT
ma-216	275	9	ee	ee	NOUN
ma-216	275	10	)	)	PUNCT
ma-216	275	11	point	point	NOUN
ma-216	275	12	for	for	ADP
ma-216	275	13	the	the	DET
ma-216	275	14	malaria	malaria	NOUN
ma-216	275	15	model	model	NOUN
ma-216	275	16	,	,	PUNCT
ma-216	275	17	then	then	ADV
ma-216	275	18	setting	set	VERB
ma-216	275	19	system	system	NOUN
ma-216	275	20	(	(	PUNCT
ma-216	275	21	3	3	NUM
ma-216	275	22	)	)	PUNCT
ma-216	275	23	to	to	ADP
ma-216	275	24	zero	zero	NUM
ma-216	275	25	,	,	PUNCT
ma-216	275	26	the	the	DET
ma-216	275	27	followingsystem	followingsystem	NOUN
ma-216	275	28	of	of	ADP
ma-216	275	29	solutions	solution	NOUN
ma-216	275	30	is	be	AUX
ma-216	275	31	obtained	obtained	PROPN
ma-216	275	32	s∗∗h	s∗∗h	NOUN
ma-216	275	33	=	=	PUNCT
ma-216	275	34	q0	q0	PROPN
ma-216	275	35	(	(	PUNCT
ma-216	275	36	g0bϕτβmµh)i	g0bϕτβmµh)i	VERB
ma-216	275	37	∗∗2	∗∗2	NOUN
ma-216	275	38	h	h	NOUN
ma-216	276	1	+	+	PROPN
ma-216	276	2	[	[	X
ma-216	276	3	q1bβmµh+µm(m+πh)]i	q1bβmµh+µm(m+πh)]i	ADP
ma-216	276	4	∗∗	∗∗	NOUN
ma-216	276	5	h	h	NOUN
ma-216	276	6	+	+	NOUN
ma-216	276	7	q1µm(m+πh	q1µm(m+πh	NOUN
ma-216	276	8	)	)	PUNCT
ma-216	277	1	[	[	X
ma-216	277	2	q2σb2βhβmµhψa∗∗m+g4bβmµhµm(m+πh)]i	q2σb2βhβmµhψa∗∗m+g4bβmµhµm(m+πh)]i	X
ma-216	277	3	∗∗	∗∗	PROPN
ma-216	277	4	h	h	X
ma-216	277	5	+	+	NOUN
ma-216	277	6	g0g2g4µ	g0g2g4µ	NOUN
ma-216	277	7	2	2	NUM
ma-216	277	8	m(m+πh	m(m+πh	NOUN
ma-216	277	9	)	)	PUNCT
ma-216	277	10	2	2	NUM
ma-216	277	11	e∗∗h	e∗∗h	NOUN
ma-216	277	12	=	=	PUNCT
ma-216	278	1	q3i	q3i	PRON
ma-216	278	2	∗∗3	∗∗3	NOUN
ma-216	278	3	h	h	VERB
ma-216	279	1	+	+	NOUN
ma-216	279	2	q4i	q4i	ADJ
ma-216	279	3	∗∗2	∗∗2	ADJ
ma-216	279	4	h	h	NOUN
ma-216	279	5	+	+	NOUN
ma-216	279	6	q5i	q5i	X
ma-216	279	7	∗∗	∗∗	NOUN
ma-216	279	8	h	h	SYM
ma-216	280	1	+	+	NOUN
ma-216	280	2	q6	q6	ADJ
ma-216	280	3	q7i	q7i	ADJ
ma-216	280	4	∗∗2	∗∗2	NOUN
ma-216	280	5	h	h	NOUN
ma-216	280	6	+	+	PROPN
ma-216	280	7	q8i	q8i	PROPN
ma-216	280	8	∗∗	∗∗	PROPN
ma-216	280	9	h	h	PROPN
ma-216	281	1	+	+	PROPN
ma-216	281	2	q9	q9	PROPN
ma-216	281	3	r∗∗h	r∗∗h	PROPN
ma-216	281	4	=	=	SYM
ma-216	281	5	τi∗∗h	τi∗∗h	PUNCT
ma-216	282	1	+	+	ADJ
ma-216	282	2	ωe	ωe	PROPN
ma-216	282	3	∗∗	∗∗	PROPN
ma-216	282	4	h	h	NOUN
ma-216	282	5	g2	g2	PROPN
ma-216	282	6	a∗∗m	a∗∗m	NOUN
ma-216	283	1	=	=	PUNCT
ma-216	283	2	0	0	NUM
ma-216	283	3	or	or	CCONJ
ma-216	283	4	a∗∗m	a∗∗m	NOUN
ma-216	284	1	=	=	SYM
ma-216	284	2	k	k	PROPN
ma-216	284	3	(	(	PUNCT
ma-216	284	4	1−	1−	NUM
ma-216	284	5	1	1	NUM
ma-216	284	6	n	n	NOUN
ma-216	284	7	)	)	PUNCT
ma-216	284	8	s∗∗m	s∗∗m	PROPN
ma-216	284	9	=	=	SYM
ma-216	284	10	0	0	NUM
ma-216	284	11	or	or	CCONJ
ma-216	284	12	s∗∗m	s∗∗m	PROPN
ma-216	284	13	=	=	PUNCT
ma-216	284	14	(	(	PUNCT
ma-216	284	15	m+πh)ψa	m+πh)ψa	NOUN
ma-216	284	16	∗∗	∗∗	PROPN
ma-216	284	17	m	m	AUX
ma-216	284	18	bβmµhi	bβmµhi	VERB
ma-216	284	19	∗∗	∗∗	PROPN
ma-216	284	20	h	h	NOUN
ma-216	284	21	+	+	NOUN
ma-216	284	22	µm(m+πh	µm(m+πh	NOUN
ma-216	284	23	)	)	PUNCT
ma-216	284	24	e∗∗m	e∗∗m	NOUN
ma-216	285	1	=	=	SYM
ma-216	285	2	0	0	NUM
ma-216	285	3	or	or	CCONJ
ma-216	285	4	e∗∗m	e∗∗m	NOUN
ma-216	286	1	=	=	SYM
ma-216	286	2	bβmµhs	bβmµhs	PROPN
ma-216	287	1	∗∗	∗∗	NOUN
ma-216	287	2	m	m	VERB
ma-216	288	1	i	i	PRON
ma-216	288	2	∗∗	∗∗	NOUN
ma-216	288	3	h	h	SYM
ma-216	288	4	g4(m+πh	g4(m+πh	NOUN
ma-216	288	5	)	)	PUNCT
ma-216	288	6	i∗∗m	i∗∗m	NOUN
ma-216	288	7	=	=	NOUN
ma-216	288	8	0	0	NUM
ma-216	288	9	or	or	CCONJ
ma-216	288	10	i∗∗m	i∗∗m	NOUN
ma-216	288	11	=	=	PUNCT
ma-216	288	12	σbβmµhs	σbβmµhs	VERB
ma-216	289	1	∗∗	∗∗	NOUN
ma-216	289	2	m	m	VERB
ma-216	289	3	i	i	PRON
ma-216	290	1	∗∗	∗∗	PROPN
ma-216	290	2	h	h	NOUN
ma-216	290	3	g4µm(m+πh)here	g4µm(m+πh)here	ADV
ma-216	290	4	,	,	PUNCT
ma-216	290	5	i∗∗h	i∗∗h	ADJ
ma-216	290	6	satisfies	satisfie	NOUN
ma-216	290	7	:	:	PUNCT
ma-216	291	1	q3i	q3i	DET
ma-216	291	2	∗∗3	∗∗3	NOUN
ma-216	291	3	h	h	NOUN
ma-216	291	4	+	+	CCONJ
ma-216	291	5	q2i	q2i	PROPN
ma-216	291	6	∗∗2	∗∗2	ADJ
ma-216	291	7	h	h	NOUN
ma-216	291	8	+	+	CCONJ
ma-216	291	9	q1i	q1i	NOUN
ma-216	291	10	∗∗	∗∗	PROPN
ma-216	291	11	h	h	NOUN
ma-216	292	1	+	+	CCONJ
ma-216	292	2	q0	q0	ADJ
ma-216	292	3	=	=	SYM
ma-216	292	4	0	0	NUM
ma-216	292	5	(	(	PUNCT
ma-216	292	6	43	43	NUM
ma-216	292	7	)	)	PUNCT
ma-216	293	1	where	where	SCONJ
ma-216	293	2	:	:	PUNCT
ma-216	293	3	q0	q0	PROPN
ma-216	293	4	=	=	PUNCT
ma-216	293	5	g4µm(m+πh	g4µm(m+πh	NOUN
ma-216	293	6	)	)	PUNCT
ma-216	293	7	µh	µh	NUM
ma-216	293	8	q1	q1	NOUN
ma-216	293	9	=	=	PUNCT
ma-216	294	1	p1ϕωm	p1ϕωm	X
ma-216	294	2	+	+	CCONJ
ma-216	294	3	g0g2((1−	g0g2((1−	PROPN
ma-216	294	4	p1	p1	NOUN
ma-216	294	5	−	−	PROPN
ma-216	294	6	p2)m	p2)m	NOUN
ma-216	294	7	+	+	CCONJ
ma-216	294	8	πh	πh	NOUN
ma-216	294	9	)	)	PUNCT
ma-216	294	10	q2	q2	NOUN
ma-216	294	11	=	=	PUNCT
ma-216	295	1	g0g2	g0g2	ADJ
ma-216	295	2	−	−	X
ma-216	295	3	ϕω	ϕω	PROPN
ma-216	295	4	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	295	5	eur	eur	PROPN
ma-216	295	6	.	.	PUNCT
ma-216	296	1	j.	j.	PROPN
ma-216	296	2	math	math	PROPN
ma-216	296	3	.	.	PUNCT
ma-216	297	1	anal	anal	PROPN
ma-216	297	2	.	.	PUNCT
ma-216	298	1	10.28924	10.28924	NUM
ma-216	298	2	/	/	SYM
ma-216	298	3	ada	ada	PROPN
ma-216	298	4	/	/	SYM
ma-216	298	5	ma.4.7	ma.4.7	ADJ
ma-216	298	6	14	14	NUM
ma-216	298	7	q3	q3	NOUN
ma-216	298	8	=	=	NOUN
ma-216	298	9	1	1	NUM
ma-216	298	10	m+πh	m+πh	NOUN
ma-216	298	11	g0g4ϕτσb	g0g4ϕτσb	VERB
ma-216	298	12	3βhβ	3βhβ	NUM
ma-216	298	13	2	2	NUM
ma-216	298	14	mµhµmψa	mµhµmψa	NOUN
ma-216	299	1	∗∗	∗∗	PROPN
ma-216	299	2	m	m	VERB
ma-216	299	3	q4	q4	NOUN
ma-216	299	4	=	=	NOUN
ma-216	299	5	1	1	NUM
ma-216	299	6	m+πh	m+πh	NOUN
ma-216	299	7	g4ϕτσb	g4ϕτσb	VERB
ma-216	299	8	2βhβmµhψa	2βhβmµhψa	NUM
ma-216	299	9	∗∗	∗∗	NOUN
ma-216	299	10	m	m	AUX
ma-216	299	11	(	(	PUNCT
ma-216	299	12	q1bβmµm	q1bβmµm	PROPN
ma-216	299	13	+	+	CCONJ
ma-216	299	14	m+πh	m+πh	NOUN
ma-216	299	15	µh	µh	X
ma-216	299	16	g0ϕτ	g0ϕτ	PROPN
ma-216	299	17	)	)	PUNCT
ma-216	300	1	+	+	CCONJ
ma-216	300	2	g4p1mbβmµm	g4p1mbβmµm	PROPN
ma-216	300	3	(	(	PUNCT
ma-216	300	4	q2σb	q2σb	PROPN
ma-216	300	5	2βhβmµhψa	2βhβmµhψa	NUM
ma-216	300	6	∗∗	∗∗	NOUN
ma-216	300	7	m	m	VERB
ma-216	300	8	m+πh	m+πh	NOUN
ma-216	300	9	+	+	CCONJ
ma-216	300	10	g0g2g4bβmµhµm	g0g2g4bβmµhµm	ADJ
ma-216	300	11	)	)	PUNCT
ma-216	300	12	q5	q5	PROPN
ma-216	300	13	=	=	PROPN
ma-216	300	14	g4bβmµ	g4bβmµ	PROPN
ma-216	300	15	2	2	NUM
ma-216	300	16	m	m	NOUN
ma-216	300	17	(	(	PUNCT
ma-216	300	18	σbβhψa	σbβhψa	VERB
ma-216	300	19	∗∗	∗∗	PROPN
ma-216	300	20	m	m	VERB
ma-216	300	21	(	(	PUNCT
ma-216	300	22	q1	q1	PROPN
ma-216	300	23	+	+	CCONJ
ma-216	300	24	p1mq2	p1mq2	NOUN
ma-216	300	25	)	)	PUNCT
ma-216	300	26	+	+	SYM
ma-216	300	27	2g0g2g4p1mµm(m	2g0g2g4p1mµm(m	NUM
ma-216	300	28	+	+	NUM
ma-216	300	29	πh	πh	NOUN
ma-216	300	30	)	)	PUNCT
ma-216	300	31	)	)	PUNCT
ma-216	300	32	q6	q6	NOUN
ma-216	300	33	=	=	PUNCT
ma-216	301	1	g0g2p1	g0g2p1	PROPN
ma-216	301	2	m	m	VERB
ma-216	301	3	µh	µh	NOUN
ma-216	301	4	(	(	PUNCT
ma-216	301	5	µ2mg4(m	µ2mg4(m	PROPN
ma-216	301	6	+	+	CCONJ
ma-216	301	7	πh	πh	NOUN
ma-216	301	8	)	)	PUNCT
ma-216	301	9	)	)	PUNCT
ma-216	301	10	2	2	NUM
ma-216	301	11	q7	q7	PROPN
ma-216	301	12	=	=	PUNCT
ma-216	301	13	g0g4bβmµhµm	g0g4bβmµhµm	PROPN
ma-216	301	14	m+πh	m+πh	NOUN
ma-216	301	15	(	(	PUNCT
ma-216	301	16	q2σb	q2σb	PROPN
ma-216	301	17	2βhβmψa	2βhβmψa	NUM
ma-216	302	1	∗∗	∗∗	X
ma-216	302	2	m	m	VERB
ma-216	302	3	+	+	X
ma-216	302	4	g0g2g4bβmµm(m	g0g2g4bβmµm(m	NOUN
ma-216	302	5	+	+	NUM
ma-216	302	6	πh	πh	NOUN
ma-216	302	7	)	)	PUNCT
ma-216	302	8	)	)	PUNCT
ma-216	303	1	q8	q8	PROPN
ma-216	303	2	=	=	SYM
ma-216	303	3	g0g4µ	g0g4µ	PART
ma-216	303	4	2	2	NUM
ma-216	303	5	m	m	NOUN
ma-216	303	6	(	(	PUNCT
ma-216	303	7	q2σb	q2σb	PROPN
ma-216	303	8	2βhβmψa	2βhβmψa	NUM
ma-216	304	1	∗∗	∗∗	X
ma-216	304	2	m	m	VERB
ma-216	304	3	+	+	NOUN
ma-216	304	4	2g0g2g4bβmµm(m	2g0g2g4bβmµm(m	NUM
ma-216	304	5	+	+	NUM
ma-216	304	6	πh	πh	NOUN
ma-216	304	7	)	)	PUNCT
ma-216	304	8	)	)	PUNCT
ma-216	305	1	q9	q9	PROPN
ma-216	305	2	=	=	SYM
ma-216	305	3	g2	g2	PROPN
ma-216	305	4	µh	µh	INTJ
ma-216	305	5	(	(	PUNCT
ma-216	305	6	g0g4µ	g0g4µ	NUM
ma-216	305	7	2	2	NUM
ma-216	305	8	m(m	m(m	NOUN
ma-216	305	9	+	+	NUM
ma-216	305	10	πh	πh	NOUN
ma-216	305	11	)	)	PUNCT
ma-216	305	12	)	)	PUNCT
ma-216	305	13	2	2	NUM
ma-216	305	14	q3	q3	NOUN
ma-216	305	15	=	=	SYM
ma-216	305	16	g0g4bβmµm	g0g4bβmµm	NOUN
ma-216	305	17	{	{	PUNCT
ma-216	305	18	σb2βhβmµha	σb2βhβmµha	X
ma-216	306	1	∗∗	∗∗	PROPN
ma-216	306	2	m	m	VERB
ma-216	306	3	m	m	VERB
ma-216	306	4	+	+	ADJ
ma-216	306	5	πh	πh	NOUN
ma-216	306	6	(	(	PUNCT
ma-216	306	7	g0g1µh	g0g1µh	X
ma-216	306	8	+	+	NUM
ma-216	306	9	ϕγ(µh	ϕγ(µh	PROPN
ma-216	306	10	+	+	NUM
ma-216	306	11	δ	δ	NOUN
ma-216	306	12	)	)	PUNCT
ma-216	306	13	)	)	PUNCT
ma-216	307	1	+	+	CCONJ
ma-216	307	2	g0g1g2g4bβmµhµm	g0g1g2g4bβmµhµm	ADJ
ma-216	307	3	}	}	PUNCT
ma-216	307	4	q2	q2	NOUN
ma-216	307	5	=	=	SYM
ma-216	307	6	g0g1g4µ	g0g1g4µ	NOUN
ma-216	307	7	2	2	NUM
ma-216	307	8	m(m	m(m	NOUN
ma-216	307	9	+	+	NUM
ma-216	307	10	πh	πh	NOUN
ma-216	307	11	)	)	PUNCT
ma-216	307	12	(	(	PUNCT
ma-216	307	13	q2σb	q2σb	PROPN
ma-216	307	14	2βhβmψa	2βhβmψa	NUM
ma-216	307	15	∗∗	∗∗	X
ma-216	307	16	m	m	VERB
ma-216	307	17	m	m	VERB
ma-216	307	18	+	+	ADJ
ma-216	307	19	πh	πh	NOUN
ma-216	307	20	+	+	NOUN
ma-216	307	21	2g0g2g4bβmµm−	2g0g2g4bβmµm−	NUM
ma-216	307	22	γσb2βhβma	γσb2βhβma	PUNCT
ma-216	308	1	∗∗	∗∗	PROPN
ma-216	308	2	m	m	VERB
ma-216	308	3	m	m	VERB
ma-216	308	4	+	+	ADJ
ma-216	308	5	πh	πh	NOUN
ma-216	308	6	(	(	PUNCT
ma-216	308	7	g4q1bβmµhµm	g4q1bβmµhµm	X
ma-216	308	8	+	+	CCONJ
ma-216	308	9	g0g4ϕτµ	g0g4ϕτµ	AUX
ma-216	308	10	2	2	NUM
ma-216	308	11	m(m	m(m	NOUN
ma-216	308	12	+	+	NUM
ma-216	308	13	πh)−	πh)−	VERB
ma-216	308	14	g4mbβmµhµm(p1γ	g4mbβmµhµm(p1γ	NOUN
ma-216	308	15	+	+	CCONJ
ma-216	308	16	g0p2	g0p2	NOUN
ma-216	308	17	)	)	PUNCT
ma-216	308	18	(	(	PUNCT
ma-216	309	1	ασb2βhβma	ασb2βhβma	PROPN
ma-216	309	2	∗∗	∗∗	PROPN
ma-216	309	3	m	m	VERB
ma-216	309	4	m	m	VERB
ma-216	309	5	+	+	ADJ
ma-216	309	6	πh	πh	NOUN
ma-216	309	7	+	+	CCONJ
ma-216	309	8	g0g2g4bβmµm	g0g2g4bβmµm	NOUN
ma-216	309	9	)	)	PUNCT
ma-216	309	10	q1	q1	NOUN
ma-216	309	11	=	=	PUNCT
ma-216	309	12	g4µ	g4µ	NOUN
ma-216	309	13	2	2	NUM
ma-216	309	14	m(m	m(m	NOUN
ma-216	309	15	+	+	NUM
ma-216	309	16	πh	πh	NOUN
ma-216	309	17	)	)	PUNCT
ma-216	309	18	µh	µh	NOUN
ma-216	309	19	{	{	PUNCT
ma-216	309	20	g20g1g2g4µ2m(m	g20g1g2g4µ2m(m	NOUN
ma-216	309	21	+	+	CCONJ
ma-216	309	22	πh)−	πh)−	VERB
ma-216	309	23	q1γσb	q1γσb	PROPN
ma-216	309	24	2βhβmµhψa	2βhβmµhψa	NUM
ma-216	310	1	∗∗	∗∗	X
ma-216	310	2	m	m	VERB
ma-216	310	3	m	m	VERB
ma-216	310	4	+	+	ADJ
ma-216	310	5	πh	πh	NOUN
ma-216	310	6	−	−	PROPN
ma-216	310	7	g0p2	g0p2	NOUN
ma-216	310	8	m	m	VERB
ma-216	310	9	(	(	PUNCT
ma-216	310	10	q2σb	q2σb	PROPN
ma-216	310	11	2βhβmµhψa	2βhβmµhψa	NUM
ma-216	310	12	∗∗	∗∗	X
ma-216	310	13	m	m	VERB
ma-216	310	14	m	m	VERB
ma-216	310	15	+	+	ADJ
ma-216	310	16	πh	πh	NOUN
ma-216	310	17	+	+	CCONJ
ma-216	310	18	2g20g2g4bβmµhµm	2g20g2g4bβmµhµm	ADJ
ma-216	310	19	}	}	PUNCT
ma-216	310	20	q0	q0	NOUN
ma-216	310	21	=	=	PUNCT
ma-216	311	1	−	−	PROPN
ma-216	312	1	g0g2	g0g2	NOUN
ma-216	312	2	µh	µh	NOUN
ma-216	312	3	m(p1γ	m(p1γ	NOUN
ma-216	312	4	+	+	CCONJ
ma-216	312	5	g0p2	g0p2	X
ma-216	312	6	(	(	PUNCT
ma-216	312	7	g4µ	g4µ	NOUN
ma-216	312	8	2	2	NUM
ma-216	312	9	m(m	m(m	NOUN
ma-216	312	10	+	+	NUM
ma-216	312	11	πh	πh	NOUN
ma-216	312	12	)	)	PUNCT
ma-216	312	13	)	)	PUNCT
ma-216	312	14	2	2	NUM
ma-216	312	15	to	to	PART
ma-216	312	16	analyse	analyse	VERB
ma-216	312	17	the	the	DET
ma-216	312	18	disease	disease	NOUN
ma-216	312	19	endemic	endemic	ADJ
ma-216	312	20	condition	condition	NOUN
ma-216	312	21	,	,	PUNCT
ma-216	312	22	we	we	PRON
ma-216	312	23	consider	consider	VERB
ma-216	312	24	the	the	DET
ma-216	312	25	polynomial	polynomial	ADJ
ma-216	312	26	function	function	NOUN
ma-216	312	27	:	:	PUNCT
ma-216	313	1	f	f	PROPN
ma-216	313	2	(	(	PUNCT
ma-216	313	3	i∗∗h	i∗∗h	PROPN
ma-216	313	4	)	)	PUNCT
ma-216	313	5	=	=	PUNCT
ma-216	314	1	q3i	q3i	PRON
ma-216	314	2	∗∗3	∗∗3	NOUN
ma-216	314	3	h	h	NOUN
ma-216	314	4	+	+	CCONJ
ma-216	314	5	q2i	q2i	PROPN
ma-216	314	6	∗∗2	∗∗2	ADJ
ma-216	314	7	h	h	NOUN
ma-216	314	8	+	+	CCONJ
ma-216	314	9	q1i	q1i	NOUN
ma-216	314	10	∗∗	∗∗	PROPN
ma-216	314	11	h	h	NOUN
ma-216	315	1	+	+	CCONJ
ma-216	315	2	q0	q0	ADJ
ma-216	315	3	=	=	SYM
ma-216	315	4	0	0	NUM
ma-216	315	5	(	(	PUNCT
ma-216	315	6	44	44	NUM
ma-216	315	7	)	)	PUNCT
ma-216	315	8	there	there	PRON
ma-216	315	9	is	be	VERB
ma-216	315	10	enough	enough	ADJ
ma-216	315	11	evidence	evidence	NOUN
ma-216	315	12	that	that	SCONJ
ma-216	315	13	the	the	DET
ma-216	315	14	polynomial	polynomial	NOUN
ma-216	315	15	in	in	ADP
ma-216	315	16	(	(	PUNCT
ma-216	315	17	44	44	NUM
ma-216	315	18	)	)	PUNCT
ma-216	315	19	admits	admit	VERB
ma-216	315	20	a	a	DET
ma-216	315	21	positive	positive	ADJ
ma-216	315	22	solution	solution	NOUN
ma-216	315	23	on	on	ADP
ma-216	315	24	the	the	DET
ma-216	315	25	interval	interval	NOUN
ma-216	315	26	[	[	X
ma-216	315	27	0,+∞	0,+∞	NUM
ma-216	315	28	)	)	PUNCT
ma-216	315	29	since	since	SCONJ
ma-216	315	30	:	:	PUNCT
ma-216	315	31	f	f	PROPN
ma-216	315	32	(	(	PUNCT
ma-216	315	33	0	0	NUM
ma-216	315	34	)	)	PUNCT
ma-216	315	35	=	=	VERB
ma-216	316	1	q0	q0	VERB
ma-216	316	2	<	<	X
ma-216	316	3	0	0	PUNCT
ma-216	317	1	and	and	CCONJ
ma-216	317	2	lim	lim	PROPN
ma-216	317	3	i∗∗h	i∗∗h	PROPN
ma-216	318	1	→+∞	→+∞	PUNCT
ma-216	318	2	f	f	X
ma-216	318	3	(	(	PUNCT
ma-216	318	4	i∗∗h	i∗∗h	NOUN
ma-216	318	5	)	)	PUNCT
ma-216	318	6	=	=	PUNCT
ma-216	319	1	+	+	NUM
ma-216	319	2	∞.	∞.	PROPN
ma-216	319	3	next	next	ADV
ma-216	319	4	,	,	PUNCT
ma-216	319	5	we	we	PRON
ma-216	319	6	employ	employ	VERB
ma-216	319	7	descartes	descarte	NOUN
ma-216	319	8	’	'	PUNCT
ma-216	319	9	rule	rule	NOUN
ma-216	319	10	ofsigns	ofsign	NOUN
ma-216	319	11	change	change	VERB
ma-216	319	12	to	to	PART
ma-216	319	13	explore	explore	VERB
ma-216	319	14	more	more	ADJ
ma-216	319	15	information	information	NOUN
ma-216	319	16	on	on	ADP
ma-216	319	17	the	the	DET
ma-216	319	18	roots	root	NOUN
ma-216	319	19	of	of	ADP
ma-216	319	20	the	the	DET
ma-216	319	21	polynomial	polynomial	ADJ
ma-216	319	22	f	f	NOUN
ma-216	319	23	(	(	PUNCT
ma-216	319	24	i∗∗h	i∗∗h	PROPN
ma-216	319	25	)	)	PUNCT
ma-216	319	26	(	(	PUNCT
ma-216	319	27	see	see	VERB
ma-216	319	28	table	table	NOUN
ma-216	319	29	2	2	NUM
ma-216	319	30	)	)	PUNCT
ma-216	319	31	.	.	PUNCT
ma-216	320	1	table	table	NOUN
ma-216	320	2	2	2	NUM
ma-216	320	3	.	.	X
ma-216	320	4	number	number	NOUN
ma-216	320	5	(	(	PUNCT
ma-216	320	6	#	#	NOUN
ma-216	320	7	)	)	PUNCT
ma-216	320	8	of	of	ADP
ma-216	320	9	possible	possible	ADJ
ma-216	320	10	positive	positive	ADJ
ma-216	320	11	roots	root	NOUN
ma-216	320	12	of	of	ADP
ma-216	320	13	f	f	PROPN
ma-216	320	14	(	(	PUNCT
ma-216	320	15	i∗∗h	i∗∗h	NOUN
ma-216	320	16	)	)	PUNCT
ma-216	320	17	case	case	NOUN
ma-216	320	18	q3	q3	PROPN
ma-216	320	19	q2	q2	PROPN
ma-216	320	20	q1	q1	PROPN
ma-216	321	1	q0	q0	PROPN
ma-216	321	2	#	#	NOUN
ma-216	321	3	of	of	ADP
ma-216	321	4	sign	sign	NOUN
ma-216	321	5	change	change	NOUN
ma-216	321	6	#	#	NOUN
ma-216	321	7	of	of	ADP
ma-216	321	8	roots(i	roots(i	NOUN
ma-216	321	9	)	)	PUNCT
ma-216	321	10	+	+	PUNCT
ma-216	322	1	+	+	PUNCT
ma-216	322	2	+	+	CCONJ
ma-216	322	3	−	−	NUM
ma-216	322	4	1	1	NUM
ma-216	322	5	1(ii	1(ii	NUM
ma-216	322	6	)	)	PUNCT
ma-216	323	1	+	+	PUNCT
ma-216	324	1	+	+	CCONJ
ma-216	324	2	−	−	NOUN
ma-216	324	3	−	−	NUM
ma-216	324	4	1	1	NUM
ma-216	324	5	1(iii	1(iii	NUM
ma-216	324	6	)	)	PUNCT
ma-216	324	7	+	+	CCONJ
ma-216	324	8	−	−	PROPN
ma-216	325	1	+	+	CCONJ
ma-216	325	2	−	−	PROPN
ma-216	325	3	3	3	NUM
ma-216	325	4	1	1	NUM
ma-216	325	5	,	,	PUNCT
ma-216	325	6	3(iv	3(iv	NUM
ma-216	325	7	)	)	PUNCT
ma-216	326	1	+	+	CCONJ
ma-216	326	2	−	−	PROPN
ma-216	327	1	−	−	NOUN
ma-216	327	2	−	−	NUM
ma-216	327	3	1	1	NUM
ma-216	327	4	1	1	NUM
ma-216	327	5	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	327	6	eur	eur	PROPN
ma-216	327	7	.	.	PUNCT
ma-216	328	1	j.	j.	PROPN
ma-216	328	2	math	math	PROPN
ma-216	328	3	.	.	PUNCT
ma-216	329	1	anal	anal	PROPN
ma-216	329	2	.	.	PUNCT
ma-216	330	1	10.28924	10.28924	NUM
ma-216	330	2	/	/	SYM
ma-216	330	3	ada	ada	PROPN
ma-216	330	4	/	/	SYM
ma-216	330	5	ma.4.7	ma.4.7	PROPN
ma-216	330	6	15based	15base	VERB
ma-216	330	7	on	on	ADP
ma-216	330	8	the	the	DET
ma-216	330	9	results	result	NOUN
ma-216	330	10	in	in	ADP
ma-216	330	11	table	table	NOUN
ma-216	330	12	2	2	NUM
ma-216	330	13	,	,	PUNCT
ma-216	330	14	we	we	PRON
ma-216	330	15	claim	claim	VERB
ma-216	330	16	that	that	SCONJ
ma-216	330	17	in	in	ADP
ma-216	330	18	the	the	DET
ma-216	330	19	presence	presence	NOUN
ma-216	330	20	of	of	ADP
ma-216	330	21	importation	importation	NOUN
ma-216	330	22	of	of	ADP
ma-216	330	23	malaria	malaria	NOUN
ma-216	330	24	infections	infection	NOUN
ma-216	330	25	,	,	PUNCT
ma-216	330	26	system	system	NOUN
ma-216	330	27	(	(	PUNCT
ma-216	330	28	3	3	X
ma-216	330	29	)	)	PUNCT
ma-216	330	30	may	may	AUX
ma-216	330	31	admit	admit	VERB
ma-216	330	32	one	one	NUM
ma-216	330	33	or	or	CCONJ
ma-216	330	34	three	three	NUM
ma-216	330	35	endemic	endemic	ADJ
ma-216	330	36	equilibrium	equilibrium	NOUN
ma-216	330	37	state(s	state(s	PROPN
ma-216	330	38	)	)	PUNCT
ma-216	330	39	.	.	PUNCT
ma-216	331	1	to	to	PART
ma-216	331	2	better	well	ADV
ma-216	331	3	understand	understand	VERB
ma-216	331	4	any	any	DET
ma-216	331	5	possibleimpact	possibleimpact	NOUN
ma-216	331	6	of	of	ADP
ma-216	331	7	the	the	DET
ma-216	331	8	inflow	inflow	NOUN
ma-216	331	9	of	of	ADP
ma-216	331	10	humans	human	NOUN
ma-216	331	11	who	who	PRON
ma-216	331	12	have	have	AUX
ma-216	331	13	been	be	AUX
ma-216	331	14	exposed	expose	VERB
ma-216	331	15	or	or	CCONJ
ma-216	331	16	infected	infect	VERB
ma-216	331	17	with	with	ADP
ma-216	331	18	malaria	malaria	NOUN
ma-216	331	19	parasites	parasite	NOUN
ma-216	331	20	on	on	ADP
ma-216	331	21	thedisease	thedisease	ADJ
ma-216	331	22	endemic	endemic	ADJ
ma-216	331	23	condition	condition	NOUN
ma-216	331	24	,	,	PUNCT
ma-216	331	25	we	we	PRON
ma-216	331	26	now	now	ADV
ma-216	331	27	consider	consider	VERB
ma-216	331	28	the	the	DET
ma-216	331	29	endemic	endemic	ADJ
ma-216	331	30	relation	relation	NOUN
ma-216	331	31	in	in	ADP
ma-216	331	32	the	the	DET
ma-216	331	33	absence	absence	NOUN
ma-216	331	34	of	of	ADP
ma-216	331	35	exposed	expose	VERB
ma-216	331	36	andinfected	andinfecte	VERB
ma-216	331	37	immigrants.to	immigrants.to	ADP
ma-216	331	38	that	that	DET
ma-216	331	39	effect	effect	NOUN
ma-216	331	40	,	,	PUNCT
ma-216	331	41	we	we	PRON
ma-216	331	42	set	set	VERB
ma-216	331	43	p1	p1	NOUN
ma-216	331	44	=	=	NOUN
ma-216	331	45	p2	p2	PROPN
ma-216	332	1	=	=	SYM
ma-216	333	1	0	0	PUNCT
ma-216	334	1	into	into	ADP
ma-216	334	2	(	(	PUNCT
ma-216	334	3	44	44	NUM
ma-216	334	4	)	)	PUNCT
ma-216	334	5	and	and	CCONJ
ma-216	334	6	simplify	simplify	VERB
ma-216	334	7	to	to	PART
ma-216	334	8	obtain	obtain	VERB
ma-216	334	9	:	:	PUNCT
ma-216	334	10	i∗∗h	i∗∗h	NOUN
ma-216	334	11	(	(	PUNCT
ma-216	334	12	a2i	a2i	NOUN
ma-216	334	13	∗∗2	∗∗2	NOUN
ma-216	334	14	h	h	NOUN
ma-216	334	15	+	+	CCONJ
ma-216	334	16	a1i	a1i	VERB
ma-216	334	17	∗∗	∗∗	X
ma-216	334	18	h	h	NOUN
ma-216	334	19	+	+	CCONJ
ma-216	334	20	a0	a0	NOUN
ma-216	334	21	)	)	PUNCT
ma-216	335	1	=	=	SYM
ma-216	335	2	0	0	PUNCT
ma-216	335	3	(	(	PUNCT
ma-216	335	4	45	45	NUM
ma-216	335	5	)	)	PUNCT
ma-216	335	6	equation	equation	NOUN
ma-216	335	7	(	(	PUNCT
ma-216	335	8	45	45	NUM
ma-216	335	9	)	)	PUNCT
ma-216	335	10	implies	imply	VERB
ma-216	335	11	i∗∗h	i∗∗h	NOUN
ma-216	335	12	=	=	SYM
ma-216	335	13	0	0	NUM
ma-216	335	14	or	or	CCONJ
ma-216	335	15	a2i	a2i	NOUN
ma-216	335	16	∗∗2	∗∗2	NOUN
ma-216	335	17	h	h	NOUN
ma-216	335	18	+	+	CCONJ
ma-216	335	19	a1i	a1i	VERB
ma-216	335	20	∗∗	∗∗	X
ma-216	335	21	h	h	NOUN
ma-216	335	22	+	+	CCONJ
ma-216	335	23	a0	a0	NOUN
ma-216	335	24	=	=	SYM
ma-216	335	25	0	0	PUNCT
ma-216	336	1	(	(	PUNCT
ma-216	336	2	46)where	46)where	NUM
ma-216	336	3	:	:	PUNCT
ma-216	336	4	a2	a2	PROPN
ma-216	336	5	=	=	SYM
ma-216	336	6	bβmµh	bβmµh	NOUN
ma-216	336	7	{	{	PUNCT
ma-216	336	8	σb2βhβmµha	σb2βhβmµha	PUNCT
ma-216	337	1	∗∗	∗∗	PROPN
ma-216	337	2	m	m	VERB
ma-216	337	3	m	m	VERB
ma-216	337	4	+	+	ADJ
ma-216	337	5	πh	πh	NOUN
ma-216	337	6	(	(	PUNCT
ma-216	337	7	g0g1µh	g0g1µh	X
ma-216	337	8	+	+	NUM
ma-216	337	9	ϕγ(µh	ϕγ(µh	PROPN
ma-216	337	10	+	+	NUM
ma-216	337	11	δ	δ	NOUN
ma-216	337	12	)	)	PUNCT
ma-216	337	13	)	)	PUNCT
ma-216	338	1	+	+	CCONJ
ma-216	338	2	g0g1g4bβmµhµm	g0g1g4bβmµhµm	VERB
ma-216	338	3	}	}	PUNCT
ma-216	338	4	(	(	PUNCT
ma-216	338	5	47	47	NUM
ma-216	338	6	)	)	PUNCT
ma-216	338	7	a1	a1	NOUN
ma-216	338	8	=	=	SYM
ma-216	338	9	g1µhµm	g1µhµm	VERB
ma-216	338	10	(	(	PUNCT
ma-216	338	11	q2σb	q2σb	PROPN
ma-216	338	12	2βhβmψa	2βhβmψa	NUM
ma-216	338	13	∗∗	∗∗	X
ma-216	338	14	m	m	VERB
ma-216	338	15	+	+	NOUN
ma-216	338	16	2g0g2g4bβmµm(m	2g0g2g4bβmµm(m	NUM
ma-216	338	17	+	+	NUM
ma-216	338	18	πh	πh	NOUN
ma-216	338	19	)	)	PUNCT
ma-216	338	20	)	)	PUNCT
ma-216	339	1	−	−	PROPN
ma-216	340	1	γσb2βhβmµhψa	γσb2βhβmµhψa	PROPN
ma-216	340	2	∗∗	∗∗	NOUN
ma-216	340	3	m	m	AUX
ma-216	340	4	(	(	PUNCT
ma-216	340	5	g2bβmµh	g2bβmµh	PROPN
ma-216	340	6	+	+	CCONJ
ma-216	340	7	ϕτµm	ϕτµm	NOUN
ma-216	340	8	)	)	PUNCT
ma-216	340	9	(	(	PUNCT
ma-216	340	10	48	48	NUM
ma-216	340	11	)	)	PUNCT
ma-216	340	12	a0	a0	NOUN
ma-216	340	13	=	=	PUNCT
ma-216	340	14	g0g1g2g4µ	g0g1g2g4µ	ADP
ma-216	340	15	3	3	NUM
ma-216	340	16	m(m	m(m	NOUN
ma-216	340	17	+	+	NUM
ma-216	340	18	πh)2	πh)2	NOUN
ma-216	340	19	(	(	PUNCT
ma-216	340	20	1−	1−	NUM
ma-216	340	21	r20	r20	NOUN
ma-216	340	22	)	)	PUNCT
ma-216	340	23	(	(	PUNCT
ma-216	340	24	49)with	49)with	NUM
ma-216	340	25	i∗∗h	i∗∗h	NOUN
ma-216	340	26	=	=	NOUN
ma-216	340	27	0	0	NUM
ma-216	340	28	in	in	ADP
ma-216	340	29	(	(	PUNCT
ma-216	340	30	46	46	NUM
ma-216	340	31	)	)	PUNCT
ma-216	340	32	,	,	PUNCT
ma-216	340	33	we	we	PRON
ma-216	340	34	retrieve	retrieve	VERB
ma-216	340	35	the	the	DET
ma-216	340	36	tdfe	tdfe	NOUN
ma-216	340	37	when	when	SCONJ
ma-216	340	38	a∗∗m	a∗∗m	PROPN
ma-216	340	39	=	=	NOUN
ma-216	340	40	0	0	NUM
ma-216	340	41	and	and	CCONJ
ma-216	340	42	the	the	DET
ma-216	340	43	rdfe	rdfe	ADJ
ma-216	340	44	when	when	SCONJ
ma-216	340	45	a∗∗m	a∗∗m	PROPN
ma-216	340	46	=	=	SYM
ma-216	340	47	k	k	PROPN
ma-216	340	48	(	(	PUNCT
ma-216	340	49	1−	1−	NUM
ma-216	340	50	1	1	NUM
ma-216	340	51	n	n	NOUN
ma-216	340	52	)	)	PUNCT
ma-216	340	53	furthermore	furthermore	ADV
ma-216	340	54	,	,	PUNCT
ma-216	340	55	a	a	DET
ma-216	340	56	solution	solution	NOUN
ma-216	340	57	to	to	ADP
ma-216	340	58	the	the	DET
ma-216	340	59	quadratic	quadratic	ADJ
ma-216	340	60	equation	equation	NOUN
ma-216	340	61	in	in	ADP
ma-216	340	62	(	(	PUNCT
ma-216	340	63	46	46	NUM
ma-216	340	64	)	)	PUNCT
ma-216	340	65	can	can	AUX
ma-216	340	66	be	be	AUX
ma-216	340	67	obtained	obtain	VERB
ma-216	340	68	using	use	VERB
ma-216	340	69	the	the	DET
ma-216	340	70	quadraticformula	quadraticformula	NOUN
ma-216	340	71	,	,	PUNCT
ma-216	340	72	that	that	ADV
ma-216	340	73	is	is	ADV
ma-216	340	74	:	:	PUNCT
ma-216	340	75	i∗∗h	i∗∗h	NOUN
ma-216	340	76	=	=	PUNCT
ma-216	340	77	−a1	−a1	PROPN
ma-216	340	78	±	±	NOUN
ma-216	340	79	√	√	NOUN
ma-216	340	80	a21	a21	NOUN
ma-216	340	81	−	−	PROPN
ma-216	340	82	4a0a2	4a0a2	NOUN
ma-216	340	83	2a2	2a2	NUM
ma-216	340	84	(	(	PUNCT
ma-216	340	85	50)the	50)the	NUM
ma-216	340	86	expression	expression	NOUN
ma-216	340	87	in	in	ADP
ma-216	340	88	(	(	PUNCT
ma-216	340	89	50	50	NUM
ma-216	340	90	)	)	PUNCT
ma-216	340	91	leads	lead	VERB
ma-216	340	92	to	to	ADP
ma-216	340	93	the	the	DET
ma-216	340	94	following	follow	VERB
ma-216	340	95	theorem	theorem	NOUN
ma-216	340	96	:	:	PUNCT
ma-216	340	97	theorem	theorem	NOUN
ma-216	340	98	6	6	NUM
ma-216	340	99	.	.	PUNCT
ma-216	341	1	in	in	ADP
ma-216	341	2	the	the	DET
ma-216	341	3	absence	absence	NOUN
ma-216	341	4	of	of	ADP
ma-216	341	5	inflow	inflow	NOUN
ma-216	341	6	of	of	ADP
ma-216	341	7	exposed	expose	VERB
ma-216	341	8	and	and	CCONJ
ma-216	341	9	infected	infect	VERB
ma-216	341	10	human	human	ADJ
ma-216	341	11	migrants	migrant	NOUN
ma-216	341	12	,	,	PUNCT
ma-216	341	13	the	the	DET
ma-216	341	14	malaria	malaria	NOUN
ma-216	341	15	model	model	NOUN
ma-216	341	16	represented	represent	VERB
ma-216	341	17	by	by	ADP
ma-216	341	18	system	system	NOUN
ma-216	341	19	(	(	PUNCT
ma-216	341	20	3	3	NUM
ma-216	341	21	)	)	PUNCT
ma-216	341	22	admits:(i	admits:(i	NOUN
ma-216	341	23	)	)	PUNCT
ma-216	341	24	one	one	NUM
ma-216	341	25	unique	unique	ADJ
ma-216	341	26	ee	ee	VERB
ma-216	341	27	if	if	SCONJ
ma-216	341	28	a0	a0	PROPN
ma-216	341	29	<	<	X
ma-216	341	30	0	0	PROPN
ma-216	341	31	,	,	PUNCT
ma-216	341	32	that	that	PRON
ma-216	341	33	is	be	AUX
ma-216	341	34	r0	r0	NOUN
ma-216	341	35	>	>	X
ma-216	342	1	1(ii	1(ii	NUM
ma-216	342	2	)	)	PUNCT
ma-216	342	3	one	one	NUM
ma-216	342	4	unique	unique	ADJ
ma-216	342	5	ee	ee	INTJ
ma-216	342	6	if	if	SCONJ
ma-216	342	7	a1	a1	PROPN
ma-216	342	8	<	<	X
ma-216	342	9	0	0	NUM
ma-216	342	10	,	,	PUNCT
ma-216	342	11	and	and	CCONJ
ma-216	342	12	r0	r0	NOUN
ma-216	342	13	=	=	SYM
ma-216	342	14	1	1	NUM
ma-216	342	15	or	or	CCONJ
ma-216	342	16	a21	a21	NOUN
ma-216	342	17	−	−	PROPN
ma-216	342	18	4a0a2	4a0a2	NOUN
ma-216	342	19	=	=	SYM
ma-216	342	20	0(iii	0(iii	NUM
ma-216	342	21	)	)	PUNCT
ma-216	342	22	two	two	NUM
ma-216	342	23	ee	ee	INTJ
ma-216	342	24	if	if	SCONJ
ma-216	342	25	a1	a1	NOUN
ma-216	342	26	<	<	X
ma-216	342	27	0	0	PROPN
ma-216	342	28	and	and	CCONJ
ma-216	342	29	a0	a0	PROPN
ma-216	342	30	>	>	X
ma-216	342	31	0	0	PUNCT
ma-216	343	1	that	that	PRON
ma-216	343	2	is	be	AUX
ma-216	343	3	r0	r0	NOUN
ma-216	343	4	<	<	X
ma-216	343	5	1	1	NUM
ma-216	343	6	or	or	CCONJ
ma-216	343	7	a21	a21	NOUN
ma-216	343	8	−	−	PROPN
ma-216	343	9	4a0a2	4a0a2	PROPN
ma-216	343	10	>	>	X
ma-216	343	11	0(iv	0(iv	PROPN
ma-216	343	12	)	)	PUNCT
ma-216	344	1	no	no	DET
ma-216	344	2	ee	ee	INTJ
ma-216	344	3	otherwise	otherwise	ADV
ma-216	344	4	.	.	PUNCT
ma-216	345	1	we	we	PRON
ma-216	345	2	deduce	deduce	VERB
ma-216	345	3	from	from	ADP
ma-216	345	4	case	case	NOUN
ma-216	345	5	(	(	PUNCT
ma-216	345	6	i	i	NOUN
ma-216	345	7	)	)	PUNCT
ma-216	345	8	of	of	ADP
ma-216	345	9	theorem	theorem	NOUN
ma-216	345	10	6	6	NUM
ma-216	345	11	that	that	PRON
ma-216	345	12	for	for	ADP
ma-216	345	13	a	a	DET
ma-216	345	14	specific	specific	ADJ
ma-216	345	15	case	case	NOUN
ma-216	345	16	where	where	SCONJ
ma-216	345	17	the	the	DET
ma-216	345	18	parameter	parameter	NOUN
ma-216	345	19	accountingfor	accountingfor	ADP
ma-216	345	20	the	the	DET
ma-216	345	21	importation	importation	NOUN
ma-216	345	22	of	of	ADP
ma-216	345	23	malaria	malaria	NOUN
ma-216	345	24	infections	infection	NOUN
ma-216	345	25	is	be	AUX
ma-216	345	26	zero	zero	NUM
ma-216	345	27	,	,	PUNCT
ma-216	345	28	system	system	NOUN
ma-216	345	29	3	3	NUM
ma-216	345	30	admits	admit	VERB
ma-216	345	31	a	a	DET
ma-216	345	32	unique	unique	ADJ
ma-216	345	33	ee	ee	NOUN
ma-216	345	34	when	when	SCONJ
ma-216	345	35	r0	r0	NOUN
ma-216	345	36	>	>	X
ma-216	345	37	1	1	X
ma-216	345	38	.	.	PUNCT
ma-216	345	39	thissuggests	thissuggest	VERB
ma-216	345	40	that	that	SCONJ
ma-216	345	41	even	even	ADV
ma-216	345	42	in	in	ADP
ma-216	345	43	the	the	DET
ma-216	345	44	absence	absence	NOUN
ma-216	345	45	of	of	ADP
ma-216	345	46	importation	importation	NOUN
ma-216	345	47	of	of	ADP
ma-216	345	48	malaria	malaria	NOUN
ma-216	345	49	infections	infection	NOUN
ma-216	345	50	from	from	ADP
ma-216	345	51	elsewhere	elsewhere	ADV
ma-216	345	52	,	,	PUNCT
ma-216	345	53	malariaepidemics	malariaepidemic	NOUN
ma-216	345	54	can	can	AUX
ma-216	345	55	continue	continue	VERB
ma-216	345	56	to	to	PART
ma-216	345	57	propagate	propagate	VERB
ma-216	345	58	in	in	ADP
ma-216	345	59	the	the	DET
ma-216	345	60	population	population	NOUN
ma-216	345	61	.	.	PUNCT
ma-216	346	1	the	the	DET
ma-216	346	2	occurrence	occurrence	NOUN
ma-216	346	3	of	of	ADP
ma-216	346	4	two	two	NUM
ma-216	346	5	endemic	endemic	ADJ
ma-216	346	6	equilibriawhen	equilibriawhen	NOUN
ma-216	346	7	r0	r0	NOUN
ma-216	346	8	does	do	AUX
ma-216	346	9	not	not	PART
ma-216	346	10	exceed	exceed	VERB
ma-216	346	11	one	one	NUM
ma-216	346	12	,	,	PUNCT
ma-216	346	13	case	case	NOUN
ma-216	346	14	(	(	PUNCT
ma-216	346	15	iii	iii	NOUN
ma-216	346	16	)	)	PUNCT
ma-216	346	17	of	of	ADP
ma-216	346	18	theorem	theorem	ADJ
ma-216	346	19	6	6	NUM
ma-216	346	20	shows	show	VERB
ma-216	346	21	that	that	SCONJ
ma-216	346	22	the	the	DET
ma-216	346	23	model	model	NOUN
ma-216	346	24	bifurcate	bifurcate	PROPN
ma-216	346	25	backwardly	backwardly	ADV
ma-216	346	26	.	.	PUNCT
ma-216	347	1	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	347	2	eur	eur	PROPN
ma-216	347	3	.	.	PUNCT
ma-216	348	1	j.	j.	PROPN
ma-216	348	2	math	math	PROPN
ma-216	348	3	.	.	PUNCT
ma-216	349	1	anal	anal	PROPN
ma-216	349	2	.	.	PUNCT
ma-216	350	1	10.28924	10.28924	NUM
ma-216	350	2	/	/	SYM
ma-216	350	3	ada	ada	PROPN
ma-216	350	4	/	/	SYM
ma-216	350	5	ma.4.7	ma.4.7	NOUN
ma-216	350	6	16that	16that	PRON
ma-216	350	7	is	be	AUX
ma-216	350	8	,	,	PUNCT
ma-216	350	9	two	two	NUM
ma-216	350	10	stable	stable	ADJ
ma-216	350	11	equilibrium	equilibrium	NOUN
ma-216	350	12	states	state	NOUN
ma-216	350	13	coexist	coexist	VERB
ma-216	350	14	when	when	SCONJ
ma-216	350	15	the	the	DET
ma-216	350	16	reproductive	reproductive	ADJ
ma-216	350	17	number	number	NOUN
ma-216	350	18	of	of	ADP
ma-216	350	19	the	the	DET
ma-216	350	20	model	model	NOUN
ma-216	350	21	is	be	AUX
ma-216	350	22	lessthan	lessthan	NOUN
ma-216	350	23	one	one	NUM
ma-216	350	24	.	.	PUNCT
ma-216	351	1	in	in	ADP
ma-216	351	2	this	this	DET
ma-216	351	3	case	case	NOUN
ma-216	351	4	,	,	PUNCT
ma-216	351	5	r0	r0	NOUN
ma-216	351	6	<	<	X
ma-216	351	7	1	1	NUM
ma-216	351	8	even	even	ADV
ma-216	351	9	though	though	SCONJ
ma-216	351	10	necessary	necessary	ADJ
ma-216	351	11	is	be	AUX
ma-216	351	12	no	no	PRON
ma-216	351	13	more	more	ADV
ma-216	351	14	enough	enough	ADJ
ma-216	351	15	for	for	ADP
ma-216	351	16	the	the	DET
ma-216	351	17	elimination	elimination	NOUN
ma-216	351	18	ofmalaria	ofmalaria	NOUN
ma-216	351	19	.	.	PUNCT
ma-216	352	1	to	to	PART
ma-216	352	2	obtain	obtain	VERB
ma-216	352	3	the	the	DET
ma-216	352	4	value	value	NOUN
ma-216	352	5	of	of	ADP
ma-216	352	6	r0	r0	PROPN
ma-216	352	7	say	say	VERB
ma-216	352	8	,	,	PUNCT
ma-216	352	9	rc0	rc0	PROPN
ma-216	352	10	at	at	ADP
ma-216	352	11	which	which	PRON
ma-216	352	12	backward	backward	ADJ
ma-216	352	13	bifurcation	bifurcation	NOUN
ma-216	352	14	takes	take	VERB
ma-216	352	15	place	place	NOUN
ma-216	352	16	in	in	ADP
ma-216	352	17	this	this	DET
ma-216	352	18	case	case	NOUN
ma-216	352	19	,	,	PUNCT
ma-216	352	20	we	we	PRON
ma-216	352	21	set	set	VERB
ma-216	352	22	the	the	DET
ma-216	352	23	discriminant	discriminant	NOUN
ma-216	352	24	(	(	PUNCT
ma-216	352	25	∆	∆	X
ma-216	352	26	)	)	PUNCT
ma-216	352	27	of	of	ADP
ma-216	352	28	equation	equation	NOUN
ma-216	352	29	46	46	NUM
ma-216	352	30	to	to	ADP
ma-216	352	31	zero	zero	NUM
ma-216	352	32	and	and	CCONJ
ma-216	352	33	solve	solve	VERB
ma-216	352	34	for	for	ADP
ma-216	352	35	rc0	rc0	PROPN
ma-216	352	36	.	.	PUNCT
ma-216	353	1	that	that	PRON
ma-216	353	2	is	be	AUX
ma-216	353	3	∆	∆	PROPN
ma-216	353	4	=	=	SYM
ma-216	353	5	0	0	PUNCT
ma-216	353	6	=	=	NOUN
ma-216	353	7	⇒	⇒	X
ma-216	353	8	a21	a21	NOUN
ma-216	353	9	−	−	PROPN
ma-216	353	10	4a0a2	4a0a2	NOUN
ma-216	353	11	=	=	SYM
ma-216	353	12	0	0	PUNCT
ma-216	354	1	=	=	AUX
ma-216	354	2	⇒	⇒	NOUN
ma-216	354	3	rc0	rc0	PROPN
ma-216	355	1	=	=	PUNCT
ma-216	355	2	√	√	PROPN
ma-216	355	3	1−	1−	NUM
ma-216	355	4	a21	a21	NOUN
ma-216	355	5	4a2g0g1g2g4µ3m(m	4a2g0g1g2g4µ3m(m	PROPN
ma-216	356	1	+	+	CCONJ
ma-216	356	2	πh)2	πh)2	NOUN
ma-216	356	3	hence	hence	ADV
ma-216	356	4	,	,	PUNCT
ma-216	356	5	for	for	ADP
ma-216	356	6	values	value	NOUN
ma-216	356	7	of	of	ADP
ma-216	356	8	r0	r0	NOUN
ma-216	356	9	between	between	ADP
ma-216	356	10	rc0	rc0	PROPN
ma-216	356	11	<	<	X
ma-216	356	12	r0	r0	NOUN
ma-216	356	13	<	<	X
ma-216	356	14	1	1	NUM
ma-216	356	15	,	,	PUNCT
ma-216	356	16	system	system	NOUN
ma-216	356	17	3	3	NUM
ma-216	356	18	in	in	ADP
ma-216	356	19	the	the	DET
ma-216	356	20	absence	absence	NOUN
ma-216	356	21	of	of	ADP
ma-216	356	22	importation	importation	NOUN
ma-216	356	23	of	of	ADP
ma-216	356	24	malariainfections	malariainfection	NOUN
ma-216	356	25	experiences	experience	VERB
ma-216	356	26	backward	backward	ADJ
ma-216	356	27	bifurcation	bifurcation	NOUN
ma-216	356	28	.	.	PUNCT
ma-216	357	1	2.7	2.7	NUM
ma-216	357	2	.	.	PUNCT
ma-216	357	3	global	global	ADJ
ma-216	357	4	stability	stability	NOUN
ma-216	357	5	of	of	ADP
ma-216	357	6	the	the	DET
ma-216	357	7	malaria	malaria	ADJ
ma-216	357	8	endemic	endemic	ADJ
ma-216	357	9	equilibrium	equilibrium	NOUN
ma-216	357	10	point	point	NOUN
ma-216	357	11	.	.	PUNCT
ma-216	358	1	in	in	ADP
ma-216	358	2	what	what	PRON
ma-216	358	3	follows	follow	VERB
ma-216	358	4	,	,	PUNCT
ma-216	358	5	we	we	PRON
ma-216	358	6	explore	explore	VERB
ma-216	358	7	thelong	thelong	NOUN
ma-216	358	8	term	term	NOUN
ma-216	358	9	behavior	behavior	NOUN
ma-216	358	10	of	of	ADP
ma-216	358	11	the	the	DET
ma-216	358	12	unique	unique	ADJ
ma-216	358	13	endemic	endemic	ADJ
ma-216	358	14	equilibrium	equilibrium	NOUN
ma-216	358	15	point	point	NOUN
ma-216	358	16	whenever	whenever	SCONJ
ma-216	358	17	it	it	PRON
ma-216	358	18	exist	exist	VERB
ma-216	358	19	.	.	PUNCT
ma-216	359	1	consider	consider	VERB
ma-216	359	2	the	the	DET
ma-216	359	3	lyapunov	lyapunov	ADJ
ma-216	359	4	candidate	candidate	NOUN
ma-216	359	5	:	:	PUNCT
ma-216	359	6	l	l	PROPN
ma-216	359	7	(	(	PUNCT
ma-216	359	8	s∗∗h	s∗∗h	PROPN
ma-216	359	9	,	,	PUNCT
ma-216	360	1	e	e	PROPN
ma-216	360	2	∗∗	∗∗	PROPN
ma-216	360	3	h	h	NOUN
ma-216	360	4	,	,	PUNCT
ma-216	361	1	i	i	PRON
ma-216	361	2	∗∗	∗∗	NOUN
ma-216	362	1	h	h	NOUN
ma-216	362	2	,	,	PUNCT
ma-216	362	3	r	r	NOUN
ma-216	362	4	∗∗	∗∗	PROPN
ma-216	362	5	h	h	NOUN
ma-216	362	6	,	,	PUNCT
ma-216	362	7	a	a	DET
ma-216	362	8	∗∗	∗∗	NOUN
ma-216	362	9	m	m	VERB
ma-216	362	10	,	,	PUNCT
ma-216	362	11	s	s	VERB
ma-216	362	12	∗∗	∗∗	PROPN
ma-216	362	13	m	m	VERB
ma-216	362	14	,	,	PUNCT
ma-216	362	15	e	e	X
ma-216	362	16	∗∗	∗∗	PROPN
ma-216	362	17	m	m	VERB
ma-216	362	18	,	,	PUNCT
ma-216	363	1	i	i	PRON
ma-216	363	2	∗∗	∗∗	X
ma-216	363	3	m	m	VERB
ma-216	363	4	)	)	PUNCT
ma-216	364	1	=	=	PRON
ma-216	364	2	(	(	PUNCT
ma-216	364	3	(	(	PUNCT
ma-216	364	4	sh	sh	INTJ
ma-216	364	5	−	−	PROPN
ma-216	364	6	s∗∗h	s∗∗h	PROPN
ma-216	364	7	)	)	PUNCT
ma-216	364	8	−	−	PROPN
ma-216	364	9	s∗∗h	s∗∗h	PROPN
ma-216	365	1	ln	ln	ADV
ma-216	365	2	sh	sh	INTJ
ma-216	365	3	s∗∗h	s∗∗h	PROPN
ma-216	365	4	)	)	PUNCT
ma-216	366	1	+	+	CCONJ
ma-216	366	2	(	(	PUNCT
ma-216	366	3	(	(	PUNCT
ma-216	366	4	eh	eh	INTJ
ma-216	366	5	−	−	PROPN
ma-216	366	6	e∗∗h	e∗∗h	NOUN
ma-216	366	7	)	)	PUNCT
ma-216	366	8	−	−	PROPN
ma-216	367	1	e∗∗h	e∗∗h	PROPN
ma-216	367	2	ln	ln	INTJ
ma-216	367	3	eh	eh	INTJ
ma-216	367	4	e∗∗h	e∗∗h	NOUN
ma-216	367	5	)	)	PUNCT
ma-216	368	1	+	+	CCONJ
ma-216	368	2	(	(	PUNCT
ma-216	368	3	(	(	PUNCT
ma-216	368	4	ih	ih	NOUN
ma-216	368	5	−	−	PROPN
ma-216	368	6	i∗∗h	i∗∗h	NOUN
ma-216	368	7	)	)	PUNCT
ma-216	368	8	−	−	PROPN
ma-216	369	1	i∗∗h	i∗∗h	PROPN
ma-216	369	2	ln	ln	NOUN
ma-216	369	3	ih	ih	X
ma-216	369	4	i∗∗h	i∗∗h	PROPN
ma-216	369	5	)	)	PUNCT
ma-216	370	1	+	+	CCONJ
ma-216	370	2	(	(	PUNCT
ma-216	370	3	(	(	PUNCT
ma-216	370	4	rh	rh	PROPN
ma-216	370	5	−	−	PROPN
ma-216	370	6	r∗∗h	r∗∗h	NOUN
ma-216	370	7	)	)	PUNCT
ma-216	370	8	−	−	PROPN
ma-216	370	9	r∗∗h	r∗∗h	PROPN
ma-216	370	10	ln	ln	PROPN
ma-216	370	11	rh	rh	PROPN
ma-216	370	12	r∗∗h	r∗∗h	PROPN
ma-216	370	13	)	)	PUNCT
ma-216	371	1	+	+	CCONJ
ma-216	371	2	(	(	PUNCT
ma-216	371	3	(	(	PUNCT
ma-216	371	4	am	be	AUX
ma-216	371	5	−	−	PROPN
ma-216	371	6	a∗∗m	a∗∗m	NOUN
ma-216	371	7	)	)	PUNCT
ma-216	371	8	−	−	PROPN
ma-216	372	1	a∗∗m	a∗∗m	NOUN
ma-216	372	2	ln	ln	PROPN
ma-216	372	3	am	be	AUX
ma-216	372	4	a∗∗m	a∗∗m	NOUN
ma-216	372	5	)	)	PUNCT
ma-216	373	1	+	+	CCONJ
ma-216	373	2	(	(	PUNCT
ma-216	373	3	(	(	PUNCT
ma-216	373	4	sm	sm	PROPN
ma-216	373	5	−	−	PROPN
ma-216	373	6	s∗∗m	s∗∗m	NOUN
ma-216	373	7	)	)	PUNCT
ma-216	373	8	−	−	PROPN
ma-216	374	1	s∗∗m	s∗∗m	PROPN
ma-216	374	2	ln	ln	INTJ
ma-216	374	3	sm	sm	NOUN
ma-216	374	4	s∗∗m	s∗∗m	PROPN
ma-216	374	5	)	)	PUNCT
ma-216	375	1	+	+	CCONJ
ma-216	375	2	(	(	PUNCT
ma-216	375	3	(	(	PUNCT
ma-216	375	4	em	em	PRON
ma-216	375	5	−	−	VERB
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ma-216	375	8	−	−	PROPN
ma-216	376	1	e∗∗m	e∗∗m	ADP
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ma-216	376	3	em	em	PRON
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ma-216	376	5	)	)	PUNCT
ma-216	377	1	+	+	CCONJ
ma-216	377	2	(	(	PUNCT
ma-216	377	3	(	(	PUNCT
ma-216	377	4	i	i	NOUN
ma-216	377	5	m	m	VERB
ma-216	377	6	−	−	NOUN
ma-216	377	7	i∗∗m	i∗∗m	NOUN
ma-216	377	8	)	)	PUNCT
ma-216	377	9	−	−	PROPN
ma-216	378	1	i∗∗m	i∗∗m	NOUN
ma-216	378	2	ln	ln	INTJ
ma-216	379	1	i	i	PRON
ma-216	379	2	m	m	VERB
ma-216	379	3	i∗∗m	i∗∗m	NOUN
ma-216	379	4	)	)	PUNCT
ma-216	380	1	taking	take	VERB
ma-216	380	2	the	the	DET
ma-216	380	3	time	time	NOUN
ma-216	380	4	derivative	derivative	ADJ
ma-216	380	5	of	of	ADP
ma-216	380	6	l	l	NOUN
ma-216	380	7	gives	give	VERB
ma-216	380	8	:	:	PUNCT
ma-216	380	9	dl	dl	PROPN
ma-216	380	10	dt	dt	X
ma-216	380	11	=	=	PUNCT
ma-216	381	1	(	(	PUNCT
ma-216	381	2	1−	1−	NUM
ma-216	381	3	s∗∗h	s∗∗h	NOUN
ma-216	381	4	sh	sh	PROPN
ma-216	381	5	)	)	PUNCT
ma-216	381	6	dsh	dsh	PROPN
ma-216	381	7	dt	dt	NOUN
ma-216	382	1	+	+	CCONJ
ma-216	383	1	(	(	PUNCT
ma-216	383	2	1−	1−	NUM
ma-216	383	3	e∗∗h	e∗∗h	NOUN
ma-216	383	4	eh	eh	INTJ
ma-216	383	5	)	)	PUNCT
ma-216	383	6	deh	deh	NOUN
ma-216	383	7	dt	dt	X
ma-216	384	1	+	+	CCONJ
ma-216	384	2	(	(	PUNCT
ma-216	384	3	1−	1−	NUM
ma-216	384	4	i∗∗h	i∗∗h	NOUN
ma-216	384	5	ih	ih	X
ma-216	384	6	)	)	PUNCT
ma-216	384	7	dih	dih	PROPN
ma-216	384	8	dt	dt	PROPN
ma-216	385	1	+	+	CCONJ
ma-216	385	2	(	(	PUNCT
ma-216	385	3	1−	1−	NUM
ma-216	385	4	r∗∗h	r∗∗h	PROPN
ma-216	385	5	rh	rh	PROPN
ma-216	385	6	)	)	PUNCT
ma-216	385	7	drh	drh	PROPN
ma-216	385	8	dt	dt	NOUN
ma-216	386	1	+	+	CCONJ
ma-216	386	2	(	(	PUNCT
ma-216	386	3	1−	1−	NUM
ma-216	386	4	a∗∗m	a∗∗m	NOUN
ma-216	386	5	am	be	AUX
ma-216	386	6	)	)	PUNCT
ma-216	386	7	dam	dam	NOUN
ma-216	386	8	dt	dt	NOUN
ma-216	387	1	+	+	CCONJ
ma-216	387	2	(	(	PUNCT
ma-216	387	3	1−	1−	NUM
ma-216	387	4	s∗∗m	s∗∗m	NOUN
ma-216	387	5	sm	sm	INTJ
ma-216	387	6	)	)	PUNCT
ma-216	387	7	dsm	dsm	PROPN
ma-216	387	8	dt	dt	NOUN
ma-216	388	1	+	+	CCONJ
ma-216	389	1	(	(	PUNCT
ma-216	389	2	1−	1−	NUM
ma-216	389	3	e∗∗m	e∗∗m	ADP
ma-216	389	4	em	em	PRON
ma-216	389	5	)	)	PUNCT
ma-216	389	6	dem	dem	INTJ
ma-216	389	7	dt	dt	X
ma-216	390	1	+	+	CCONJ
ma-216	390	2	(	(	PUNCT
ma-216	390	3	1−	1−	NUM
ma-216	390	4	i∗∗m	i∗∗m	NOUN
ma-216	390	5	i	i	PRON
ma-216	390	6	m	m	VERB
ma-216	390	7	)	)	PUNCT
ma-216	390	8	dim	dim	ADJ
ma-216	390	9	dt	dt	NOUN
ma-216	390	10	=	=	PUNCT
ma-216	390	11	(	(	PUNCT
ma-216	390	12	sh	sh	INTJ
ma-216	390	13	−	−	PROPN
ma-216	390	14	s∗∗h	s∗∗h	VERB
ma-216	390	15	sh	sh	INTJ
ma-216	390	16	)	)	PUNCT
ma-216	391	1	[	[	X
ma-216	391	2	πh	πh	NOUN
ma-216	391	3	+	+	CCONJ
ma-216	391	4	(	(	PUNCT
ma-216	391	5	1−	1−	NUM
ma-216	391	6	p1	p1	NOUN
ma-216	391	7	−	−	PROPN
ma-216	391	8	p2)m	p2)m	NOUN
ma-216	391	9	+	+	CCONJ
ma-216	391	10	ϕrh	ϕrh	INTJ
ma-216	391	11	−	−	PROPN
ma-216	391	12	(	(	PUNCT
ma-216	391	13	λh	λh	ADP
ma-216	391	14	+	+	CCONJ
ma-216	391	15	µh)sh	µh)sh	X
ma-216	391	16	]	]	X
ma-216	392	1	+	+	CCONJ
ma-216	392	2	(	(	PUNCT
ma-216	392	3	eh	eh	INTJ
ma-216	392	4	−	−	PROPN
ma-216	392	5	e∗∗h	e∗∗h	NOUN
ma-216	392	6	eh	eh	INTJ
ma-216	392	7	)	)	PUNCT
ma-216	392	8	(	(	PUNCT
ma-216	392	9	p1	p1	NOUN
ma-216	392	10	m	m	PROPN
ma-216	392	11	+	+	X
ma-216	392	12	λhsh	λhsh	ADJ
ma-216	392	13	−	−	PROPN
ma-216	392	14	g0eh	g0eh	ADV
ma-216	392	15	)	)	PUNCT
ma-216	393	1	+	+	CCONJ
ma-216	393	2	(	(	PUNCT
ma-216	393	3	ih	ih	NOUN
ma-216	393	4	−	−	PROPN
ma-216	393	5	i∗∗h	i∗∗h	PROPN
ma-216	393	6	ih	ih	PROPN
ma-216	393	7	)	)	PUNCT
ma-216	393	8	(	(	PUNCT
ma-216	393	9	p2	p2	PROPN
ma-216	393	10	m	m	VERB
ma-216	393	11	+	+	NUM
ma-216	393	12	γeh	γeh	NOUN
ma-216	393	13	−	−	PROPN
ma-216	393	14	g1ih	g1ih	NOUN
ma-216	393	15	)	)	PUNCT
ma-216	394	1	+	+	CCONJ
ma-216	394	2	(	(	PUNCT
ma-216	394	3	rh	rh	PROPN
ma-216	394	4	−	−	PROPN
ma-216	394	5	r∗∗h	r∗∗h	PROPN
ma-216	394	6	rh	rh	PROPN
ma-216	394	7	)	)	PUNCT
ma-216	394	8	(	(	PUNCT
ma-216	394	9	τih	τih	NOUN
ma-216	394	10	+	+	CCONJ
ma-216	394	11	ωeh	ωeh	PROPN
ma-216	394	12	−	−	NOUN
ma-216	394	13	g2rh	g2rh	PROPN
ma-216	394	14	)	)	PUNCT
ma-216	395	1	+	+	CCONJ
ma-216	395	2	(	(	PUNCT
ma-216	395	3	am	be	AUX
ma-216	395	4	−	−	PROPN
ma-216	395	5	a∗∗m	a∗∗m	NOUN
ma-216	395	6	am	be	AUX
ma-216	395	7	)	)	PUNCT
ma-216	396	1	[	[	X
ma-216	396	2	πm	πm	X
ma-216	396	3	(	(	PUNCT
ma-216	396	4	1−	1−	NUM
ma-216	396	5	am	am	PROPN
ma-216	396	6	k	k	PROPN
ma-216	396	7	)	)	PUNCT
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ma-216	396	9	−	−	PROPN
ma-216	396	10	g3am	g3am	PROPN
ma-216	396	11	]	]	X
ma-216	397	1	+	+	CCONJ
ma-216	397	2	(	(	PUNCT
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ma-216	397	4	−	−	PROPN
ma-216	397	5	s∗∗m	s∗∗m	PROPN
ma-216	397	6	sm	sm	INTJ
ma-216	397	7	)	)	PUNCT
ma-216	398	1	[	[	X
ma-216	398	2	ψam	ψam	X
ma-216	398	3	−	−	NOUN
ma-216	398	4	(	(	PUNCT
ma-216	398	5	λm	λm	ADP
ma-216	399	1	+	+	CCONJ
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ma-216	400	1	+	+	CCONJ
ma-216	400	2	(	(	PUNCT
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ma-216	400	4	−	−	VERB
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ma-216	400	9	λmsm	λmsm	PROPN
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ma-216	400	12	)	)	PUNCT
ma-216	401	1	+	+	CCONJ
ma-216	401	2	(	(	PUNCT
ma-216	401	3	i	i	PRON
ma-216	401	4	m	m	VERB
ma-216	401	5	−	−	VERB
ma-216	402	1	i∗∗m	i∗∗m	NOUN
ma-216	403	1	i	i	PRON
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ma-216	403	3	)	)	PUNCT
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ma-216	403	6	−	−	NOUN
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ma-216	403	9	=	=	SYM
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ma-216	403	11	+	+	CCONJ
ma-216	403	12	(	(	PUNCT
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ma-216	404	1	+	+	CCONJ
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ma-216	404	3	+	+	CCONJ
ma-216	404	4	(	(	PUNCT
ma-216	404	5	λh	λh	ADP
ma-216	404	6	+	+	X
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ma-216	404	8	−	−	PROPN
ma-216	404	9	(	(	PUNCT
ma-216	404	10	πh	πh	NOUN
ma-216	404	11	+	+	CCONJ
ma-216	404	12	(	(	PUNCT
ma-216	404	13	1−	1−	NUM
ma-216	404	14	p1	p1	NOUN
ma-216	404	15	−	−	PROPN
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ma-216	404	17	+	+	CCONJ
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ma-216	404	20	s∗∗h	s∗∗h	VERB
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ma-216	404	22	(	(	PUNCT
ma-216	404	23	51	51	NUM
ma-216	404	24	)	)	PUNCT
ma-216	404	25	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
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ma-216	404	27	.	.	PUNCT
ma-216	405	1	j.	j.	PROPN
ma-216	405	2	math	math	PROPN
ma-216	405	3	.	.	PUNCT
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ma-216	406	2	.	.	PUNCT
ma-216	407	1	10.28924	10.28924	NUM
ma-216	407	2	/	/	SYM
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ma-216	407	4	/	/	SYM
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ma-216	407	7	−	−	NOUN
ma-216	407	8	(	(	PUNCT
ma-216	407	9	λh	λh	ADP
ma-216	407	10	+	+	CCONJ
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ma-216	407	12	+	+	SYM
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ma-216	407	14	m	m	PROPN
ma-216	407	15	+	+	CCONJ
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ma-216	407	17	+	+	SYM
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ma-216	407	20	h	h	NOUN
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ma-216	407	25	p1	p1	NOUN
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ma-216	408	1	+	+	NUM
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ma-216	408	4	+	+	NUM
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ma-216	408	6	+	+	CCONJ
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ma-216	408	9	h	h	NOUN
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ma-216	408	11	g1ih	g1ih	NOUN
ma-216	408	12	−	−	PROPN
ma-216	408	13	(	(	PUNCT
ma-216	408	14	p2	p2	PROPN
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ma-216	408	16	+	+	NUM
ma-216	408	17	γeh	γeh	NOUN
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ma-216	408	19	i∗∗h	i∗∗h	NOUN
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ma-216	408	21	+	+	CCONJ
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ma-216	408	23	+	+	CCONJ
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ma-216	409	1	+	+	CCONJ
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ma-216	409	3	∗∗	∗∗	PROPN
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ma-216	409	7	−	−	PROPN
ma-216	409	8	(	(	PUNCT
ma-216	409	9	τih	τih	NOUN
ma-216	409	10	+	+	CCONJ
ma-216	409	11	ωeh	ωeh	NOUN
ma-216	409	12	)	)	PUNCT
ma-216	409	13	r∗∗h	r∗∗h	VERB
ma-216	410	1	rh	rh	NOUN
ma-216	410	2	+	+	CCONJ
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ma-216	410	4	+	+	CCONJ
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ma-216	410	6	a∗∗m	a∗∗m	PROPN
ma-216	410	7	k	k	PROPN
ma-216	411	1	+	+	PUNCT
ma-216	411	2	g3a	g3a	X
ma-216	411	3	∗∗	∗∗	NOUN
ma-216	411	4	m	m	VERB
ma-216	411	5	−	−	PROPN
ma-216	411	6	namπm	namπm	ADJ
ma-216	411	7	am	be	AUX
ma-216	411	8	k	k	PROPN
ma-216	411	9	−	−	NOUN
ma-216	411	10	g3am	g3am	NOUN
ma-216	411	11	−	−	PROPN
ma-216	411	12	namπm	namπm	NOUN
ma-216	411	13	a∗∗m	a∗∗m	PROPN
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ma-216	411	15	+	+	X
ma-216	411	16	ψam	ψam	ADJ
ma-216	412	1	+	+	CCONJ
ma-216	412	2	λmsm	λmsm	X
ma-216	412	3	+	+	CCONJ
ma-216	412	4	g4e	g4e	PROPN
ma-216	412	5	∗∗	∗∗	NUM
ma-216	412	6	m	m	VERB
ma-216	412	7	−	−	NOUN
ma-216	412	8	g4em	g4em	PROPN
ma-216	412	9	−	−	PROPN
ma-216	412	10	λmsm	λmsm	PROPN
ma-216	412	11	e∗∗m	e∗∗m	ADP
ma-216	412	12	em	em	PRON
ma-216	412	13	s∗∗m	s∗∗m	VERB
ma-216	412	14	sm	sm	INTJ
ma-216	413	1	+	+	CCONJ
ma-216	413	2	σem	σem	ADJ
ma-216	413	3	+	+	CCONJ
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ma-216	413	5	∗∗	∗∗	PROPN
ma-216	413	6	m	m	VERB
ma-216	413	7	−	−	PROPN
ma-216	413	8	µmim	µmim	NOUN
ma-216	413	9	−	−	NOUN
ma-216	413	10	σem	σem	NOUN
ma-216	413	11	i∗∗m	i∗∗m	NOUN
ma-216	414	1	i	i	PRON
ma-216	414	2	m	m	VERB
ma-216	414	3	=	=	PUNCT
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ma-216	414	5	−	−	PROPN
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ma-216	414	7	l+	l+	X
ma-216	414	8	=	=	PUNCT
ma-216	414	9	πh	πh	VERB
ma-216	414	10	+	+	NOUN
ma-216	414	11	m	m	VERB
ma-216	414	12	+	+	X
ma-216	414	13	ϕrh	ϕrh	X
ma-216	415	1	+	+	CCONJ
ma-216	415	2	(	(	PUNCT
ma-216	415	3	λh	λh	ADP
ma-216	415	4	+	+	X
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ma-216	415	6	+	+	CCONJ
ma-216	415	7	(	(	PUNCT
ma-216	415	8	p1	p1	NOUN
ma-216	415	9	+	+	CCONJ
ma-216	415	10	p2)m	p2)m	PROPN
ma-216	415	11	s∗∗h	s∗∗h	VERB
ma-216	415	12	sh	sh	PROPN
ma-216	416	1	+	+	CCONJ
ma-216	416	2	λhsh	λhsh	ADJ
ma-216	416	3	+	+	SYM
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ma-216	416	5	∗∗	∗∗	PROPN
ma-216	416	6	h	h	NOUN
ma-216	416	7	+	+	CCONJ
ma-216	416	8	γeh	γeh	NOUN
ma-216	416	9	+	+	CCONJ
ma-216	416	10	g1i	g1i	VERB
ma-216	416	11	∗∗	∗∗	NOUN
ma-216	416	12	h	h	NOUN
ma-216	416	13	+	+	CCONJ
ma-216	416	14	τih	τih	NOUN
ma-216	416	15	+	+	CCONJ
ma-216	416	16	ωeh	ωeh	NOUN
ma-216	417	1	+	+	CCONJ
ma-216	417	2	g2r	g2r	ADJ
ma-216	417	3	∗∗	∗∗	PROPN
ma-216	417	4	h	h	NOUN
ma-216	417	5	+	+	CCONJ
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ma-216	417	7	+	+	CCONJ
ma-216	417	8	namπm	namπm	NOUN
ma-216	417	9	a∗∗m	a∗∗m	PROPN
ma-216	417	10	k	k	PROPN
ma-216	418	1	+	+	PUNCT
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ma-216	418	3	∗∗	∗∗	NOUN
ma-216	418	4	m	m	VERB
ma-216	418	5	+	+	ADV
ma-216	418	6	ψam	ψam	ADJ
ma-216	419	1	+	+	CCONJ
ma-216	419	2	(	(	PUNCT
ma-216	419	3	λm	λm	ADP
ma-216	419	4	+	+	CCONJ
ma-216	420	1	µm)s∗∗m	µm)s∗∗m	PROPN
ma-216	420	2	+	+	NUM
ma-216	420	3	λmsm	λmsm	X
ma-216	420	4	+	+	CCONJ
ma-216	420	5	g4e	g4e	PROPN
ma-216	420	6	∗∗	∗∗	X
ma-216	420	7	m	m	VERB
ma-216	420	8	+	+	CCONJ
ma-216	420	9	σem	σem	ADJ
ma-216	420	10	+	+	CCONJ
ma-216	420	11	µmi	µmi	NOUN
ma-216	420	12	∗∗	∗∗	PROPN
ma-216	420	13	m	m	NOUN
ma-216	420	14	l−	l−	NOUN
ma-216	420	15	=	=	PUNCT
ma-216	420	16	(	(	PUNCT
ma-216	420	17	πh	πh	VERB
ma-216	420	18	+	+	NOUN
ma-216	420	19	m	m	VERB
ma-216	420	20	+	+	ADJ
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ma-216	420	23	s∗∗h	s∗∗h	VERB
ma-216	420	24	sh	sh	INTJ
ma-216	421	1	+	+	X
ma-216	421	2	(	(	PUNCT
ma-216	421	3	λh	λh	ADP
ma-216	421	4	+	+	CCONJ
ma-216	421	5	µh)sh	µh)sh	PROPN
ma-216	422	1	+	+	CCONJ
ma-216	422	2	g0eh	g0eh	ADJ
ma-216	422	3	+	+	CCONJ
ma-216	422	4	(	(	PUNCT
ma-216	422	5	p1	p1	NOUN
ma-216	422	6	m	m	PROPN
ma-216	422	7	+	+	CCONJ
ma-216	422	8	λhsh	λhsh	ADJ
ma-216	422	9	)	)	PUNCT
ma-216	422	10	e∗∗h	e∗∗h	NOUN
ma-216	422	11	eh	eh	INTJ
ma-216	423	1	+	+	CCONJ
ma-216	423	2	(	(	PUNCT
ma-216	423	3	p2	p2	PROPN
ma-216	423	4	m	m	PROPN
ma-216	423	5	+	+	NUM
ma-216	423	6	γeh	γeh	NOUN
ma-216	423	7	)	)	PUNCT
ma-216	423	8	i∗∗h	i∗∗h	NOUN
ma-216	423	9	ih	ih	NOUN
ma-216	423	10	+	+	CCONJ
ma-216	423	11	g1ih	g1ih	NOUN
ma-216	423	12	+	+	CCONJ
ma-216	423	13	g2rh	g2rh	X
ma-216	424	1	+	+	CCONJ
ma-216	424	2	(	(	PUNCT
ma-216	424	3	τih	τih	NOUN
ma-216	424	4	+	+	CCONJ
ma-216	424	5	ωeh	ωeh	NOUN
ma-216	424	6	)	)	PUNCT
ma-216	424	7	r∗∗h	r∗∗h	VERB
ma-216	425	1	rh	rh	PROPN
ma-216	425	2	+	+	CCONJ
ma-216	425	3	namπm	namπm	NOUN
ma-216	425	4	am	be	AUX
ma-216	425	5	k	k	PROPN
ma-216	425	6	+	+	CCONJ
ma-216	425	7	g3am	g3am	NOUN
ma-216	426	1	+	+	CCONJ
ma-216	426	2	namπm	namπm	NOUN
ma-216	426	3	a∗∗m	a∗∗m	PROPN
ma-216	426	4	am	be	AUX
ma-216	426	5	+	+	ADV
ma-216	426	6	λmsm	λmsm	X
ma-216	426	7	e∗∗m	e∗∗m	ADP
ma-216	426	8	em	em	PRON
ma-216	426	9	+	+	CCONJ
ma-216	426	10	g4em	g4em	PUNCT
ma-216	426	11	+	+	CCONJ
ma-216	426	12	µmim	µmim	NOUN
ma-216	426	13	+	+	CCONJ
ma-216	426	14	σem	σem	X
ma-216	426	15	i∗∗m	i∗∗m	NOUN
ma-216	427	1	i	i	PRON
ma-216	427	2	m	m	PROPN
ma-216	427	3	(	(	PUNCT
ma-216	427	4	52	52	NUM
ma-216	427	5	)	)	PUNCT
ma-216	427	6	since	since	SCONJ
ma-216	427	7	the	the	DET
ma-216	427	8	model	model	NOUN
ma-216	427	9	parameters	parameter	NOUN
ma-216	427	10	and	and	CCONJ
ma-216	427	11	state	state	NOUN
ma-216	427	12	variables	variable	NOUN
ma-216	427	13	are	be	AUX
ma-216	427	14	non	non	ADJ
ma-216	427	15	-	-	ADJ
ma-216	427	16	negative	negative	ADJ
ma-216	427	17	,	,	PUNCT
ma-216	427	18	it	it	PRON
ma-216	427	19	follows	follow	VERB
ma-216	427	20	from	from	ADP
ma-216	427	21	(	(	PUNCT
ma-216	427	22	52	52	NUM
ma-216	427	23	)	)	PUNCT
ma-216	428	1	that	that	PRON
ma-216	428	2	dl	dl	PROPN
ma-216	428	3	dt	dt	NOUN
ma-216	428	4	≤	≤	PROPN
ma-216	428	5	0	0	PUNCT
ma-216	429	1	if	if	SCONJ
ma-216	429	2	l+	l+	PUNCT
ma-216	429	3	≤	≤	X
ma-216	429	4	l−and	l−and	NOUN
ma-216	429	5	dl	dl	PROPN
ma-216	430	1	dt	dt	NOUN
ma-216	430	2	=	=	PUNCT
ma-216	430	3	0	0	PUNCT
ma-216	431	1	if	if	SCONJ
ma-216	431	2	and	and	CCONJ
ma-216	431	3	only	only	ADV
ma-216	431	4	if	if	SCONJ
ma-216	431	5	s∗∗h	s∗∗h	PROPN
ma-216	431	6	=	=	SYM
ma-216	431	7	sh	sh	PROPN
ma-216	431	8	,	,	PUNCT
ma-216	431	9	e	e	X
ma-216	431	10	∗∗	∗∗	PROPN
ma-216	431	11	h	h	NOUN
ma-216	431	12	=	=	X
ma-216	431	13	eh	eh	INTJ
ma-216	431	14	,	,	PUNCT
ma-216	431	15	i	i	PRON
ma-216	431	16	∗∗	∗∗	NOUN
ma-216	432	1	h	h	NOUN
ma-216	432	2	=	=	SYM
ma-216	432	3	ih	ih	NOUN
ma-216	432	4	,	,	PUNCT
ma-216	432	5	r	r	NOUN
ma-216	432	6	∗∗	∗∗	PROPN
ma-216	432	7	h	h	NOUN
ma-216	432	8	=	=	SYM
ma-216	432	9	rh	rh	PROPN
ma-216	432	10	,	,	PUNCT
ma-216	432	11	a	a	PRON
ma-216	432	12	∗∗	∗∗	PROPN
ma-216	432	13	m	m	NOUN
ma-216	432	14	=	=	NOUN
ma-216	432	15	am	be	AUX
ma-216	432	16	,	,	PUNCT
ma-216	432	17	s	s	VERB
ma-216	432	18	∗∗	∗∗	PROPN
ma-216	432	19	m	m	X
ma-216	432	20	=	=	SYM
ma-216	432	21	sm	sm	PROPN
ma-216	432	22	,	,	PUNCT
ma-216	432	23	e	e	X
ma-216	432	24	∗∗	∗∗	PROPN
ma-216	432	25	m	m	VERB
ma-216	432	26	=	=	VERB
ma-216	432	27	em	em	PROPN
ma-216	432	28	,	,	PUNCT
ma-216	432	29	and	and	CCONJ
ma-216	432	30	i∗∗m	i∗∗m	NOUN
ma-216	433	1	=	=	PUNCT
ma-216	433	2	i	i	PRON
ma-216	433	3	m	m	VERB
ma-216	433	4	therefore	therefore	ADV
ma-216	433	5	,	,	PUNCT
ma-216	433	6	the	the	DET
ma-216	433	7	largest	large	ADJ
ma-216	433	8	compact	compact	ADJ
ma-216	433	9	invariant	invariant	ADJ
ma-216	433	10	set	set	NOUN
ma-216	433	11	within	within	ADP
ma-216	433	12	the	the	DET
ma-216	433	13	model	model	NOUN
ma-216	433	14	’s	’s	PART
ma-216	433	15	invariant	invariant	ADJ
ma-216	433	16	region	region	NOUN
ma-216	433	17	is	be	AUX
ma-216	433	18	the	the	DET
ma-216	433	19	singleton	singleton	PROPN
ma-216	433	20	{	{	PUNCT
ma-216	433	21	s∗∗h	s∗∗h	PROPN
ma-216	433	22	,	,	PUNCT
ma-216	433	23	e∗∗h	e∗∗h	PROPN
ma-216	433	24	,	,	PUNCT
ma-216	433	25	i∗∗h	i∗∗h	PROPN
ma-216	433	26	,	,	PUNCT
ma-216	433	27	r∗∗h	r∗∗h	ADJ
ma-216	433	28	,	,	PUNCT
ma-216	433	29	a∗∗m	a∗∗m	NOUN
ma-216	433	30	,	,	PUNCT
ma-216	433	31	s∗∗m	s∗∗m	PROPN
ma-216	433	32	,	,	PUNCT
ma-216	433	33	e∗∗m	e∗∗m	INTJ
ma-216	433	34	,	,	PUNCT
ma-216	433	35	i∗∗m	i∗∗m	VERB
ma-216	433	36	}	}	PUNCT
ma-216	433	37	.	.	PUNCT
ma-216	434	1	hence	hence	ADV
ma-216	434	2	,	,	PUNCT
ma-216	434	3	by	by	ADP
ma-216	434	4	the	the	DET
ma-216	434	5	lasalle	lasalle	PROPN
ma-216	434	6	’s	’s	PART
ma-216	434	7	invariant	invariant	ADJ
ma-216	434	8	principle	principle	NOUN
ma-216	434	9	[	[	X
ma-216	434	10	28	28	NUM
ma-216	434	11	]	]	PUNCT
ma-216	434	12	,	,	PUNCT
ma-216	434	13	theunique	theunique	ADJ
ma-216	434	14	endemic	endemic	ADJ
ma-216	434	15	equilibrium	equilibrium	NOUN
ma-216	434	16	of	of	ADP
ma-216	434	17	system	system	NOUN
ma-216	434	18	(	(	PUNCT
ma-216	434	19	3	3	X
ma-216	434	20	)	)	PUNCT
ma-216	434	21	is	be	AUX
ma-216	434	22	globally	globally	ADV
ma-216	434	23	asymptotically	asymptotically	ADV
ma-216	434	24	stable	stable	ADJ
ma-216	434	25	whenever	whenever	SCONJ
ma-216	434	26	it	it	PRON
ma-216	434	27	exists	exist	VERB
ma-216	434	28	.	.	PUNCT
ma-216	435	1	3	3	X
ma-216	435	2	.	.	X
ma-216	435	3	local	local	ADJ
ma-216	435	4	sensitivity	sensitivity	NOUN
ma-216	435	5	analysis	analysis	NOUN
ma-216	435	6	in	in	ADP
ma-216	435	7	this	this	DET
ma-216	435	8	section	section	NOUN
ma-216	435	9	,	,	PUNCT
ma-216	435	10	local	local	ADJ
ma-216	435	11	sensitivity	sensitivity	NOUN
ma-216	435	12	analysis	analysis	NOUN
ma-216	435	13	is	be	AUX
ma-216	435	14	carried	carry	VERB
ma-216	435	15	out	out	ADP
ma-216	435	16	to	to	PART
ma-216	435	17	determine	determine	VERB
ma-216	435	18	the	the	DET
ma-216	435	19	parameters	parameter	NOUN
ma-216	435	20	that	that	PRON
ma-216	435	21	mostlycontribute	mostlycontribute	VERB
ma-216	435	22	to	to	ADP
ma-216	435	23	disease	disease	NOUN
ma-216	435	24	spread	spread	VERB
ma-216	435	25	or	or	CCONJ
ma-216	435	26	increase	increase	VERB
ma-216	435	27	(	(	PUNCT
ma-216	435	28	r0	r0	NOUN
ma-216	435	29	)	)	PUNCT
ma-216	435	30	.	.	PUNCT
ma-216	436	1	these	these	DET
ma-216	436	2	parameters	parameter	NOUN
ma-216	436	3	should	should	AUX
ma-216	436	4	be	be	AUX
ma-216	436	5	targeted	target	VERB
ma-216	436	6	during	during	ADP
ma-216	436	7	anyintervention	anyintervention	NOUN
ma-216	436	8	aimed	aim	VERB
ma-216	436	9	at	at	ADP
ma-216	436	10	combating	combat	VERB
ma-216	436	11	the	the	DET
ma-216	436	12	malaria	malaria	NOUN
ma-216	436	13	infections	infection	NOUN
ma-216	436	14	.	.	PUNCT
ma-216	437	1	using	use	VERB
ma-216	437	2	the	the	DET
ma-216	437	3	normalized	normalize	VERB
ma-216	437	4	forward	forward	PROPN
ma-216	437	5	sensitivityindex	sensitivityindex	PROPN
ma-216	437	6	relation	relation	PROPN
ma-216	437	7	:	:	PUNCT
ma-216	437	8	γw	γw	NOUN
ma-216	437	9	x	x	X
ma-216	438	1	=	=	PUNCT
ma-216	438	2	∂w	∂w	PROPN
ma-216	438	3	∂x	∂x	PROPN
ma-216	438	4	×	×	NOUN
ma-216	438	5	x	x	X
ma-216	438	6	w	w	NOUN
ma-216	438	7	(	(	PUNCT
ma-216	438	8	53	53	NUM
ma-216	438	9	)	)	PUNCT
ma-216	438	10	and	and	CCONJ
ma-216	438	11	the	the	DET
ma-216	438	12	model	model	NOUN
ma-216	438	13	parameter	parameter	NOUN
ma-216	438	14	values	value	NOUN
ma-216	438	15	provided	provide	VERB
ma-216	438	16	in	in	ADP
ma-216	438	17	table	table	NOUN
ma-216	438	18	1	1	NUM
ma-216	438	19	we	we	PRON
ma-216	438	20	compute	compute	VERB
ma-216	438	21	the	the	DET
ma-216	438	22	values	value	NOUN
ma-216	438	23	for	for	ADP
ma-216	438	24	sensitivity	sensitivity	NOUN
ma-216	438	25	indicesof	indicesof	NOUN
ma-216	438	26	the	the	DET
ma-216	438	27	parameters	parameter	NOUN
ma-216	438	28	of	of	ADP
ma-216	438	29	the	the	DET
ma-216	438	30	model	model	ADJ
ma-216	438	31	reproductive	reproductive	ADJ
ma-216	438	32	number	number	NOUN
ma-216	438	33	,	,	PUNCT
ma-216	438	34	(	(	PUNCT
ma-216	438	35	r0	r0	NOUN
ma-216	438	36	)	)	PUNCT
ma-216	438	37	as	as	SCONJ
ma-216	438	38	presented	present	VERB
ma-216	438	39	in	in	ADP
ma-216	438	40	table	table	NOUN
ma-216	438	41	3	3	NUM
ma-216	438	42	.	.	PUNCT
ma-216	439	1	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	439	2	eur	eur	PROPN
ma-216	439	3	.	.	PUNCT
ma-216	440	1	j.	j.	PROPN
ma-216	440	2	math	math	PROPN
ma-216	440	3	.	.	PUNCT
ma-216	441	1	anal	anal	PROPN
ma-216	441	2	.	.	PUNCT
ma-216	442	1	10.28924	10.28924	NUM
ma-216	442	2	/	/	SYM
ma-216	442	3	ada	ada	PROPN
ma-216	442	4	/	/	SYM
ma-216	442	5	ma.4.7	ma.4.7	ADJ
ma-216	442	6	18	18	NUM
ma-216	442	7	table	table	NOUN
ma-216	442	8	3	3	NUM
ma-216	442	9	.	.	PUNCT
ma-216	443	1	the	the	DET
ma-216	443	2	values	value	NOUN
ma-216	443	3	of	of	ADP
ma-216	443	4	the	the	DET
ma-216	443	5	sensitivity	sensitivity	NOUN
ma-216	443	6	indices	indice	VERB
ma-216	443	7	parameter	parameter	NOUN
ma-216	443	8	sensitivity	sensitivity	NOUN
ma-216	443	9	indexb	indexb	PROPN
ma-216	443	10	+1.00	+1.00	PROPN
ma-216	443	11	βh	βh	ADP
ma-216	444	1	+0.50	+0.50	PROPN
ma-216	444	2	βm	βm	VERB
ma-216	444	3	+0.50	+0.50	PROPN
ma-216	444	4	πh	πh	PROPN
ma-216	444	5	−0.4839	−0.4839	PROPN
ma-216	444	6	m	m	NOUN
ma-216	444	7	−0.0161	−0.0161	ADJ
ma-216	444	8	µh	µh	PRON
ma-216	444	9	+0.4991	+0.4991	NUM
ma-216	444	10	ω	ω	NUM
ma-216	444	11	−0.2618	−0.2618	PROPN
ma-216	444	12	γ	γ	X
ma-216	444	13	+0.2620	+0.2620	X
ma-216	444	14	τ	τ	PROPN
ma-216	444	15	−0.4848	−0.4848	PROPN
ma-216	444	16	δ	δ	PROPN
ma-216	444	17	−0.0291	−0.0291	PROPN
ma-216	444	18	πm	πm	ADP
ma-216	444	19	+1.98	+1.98	PROPN
ma-216	444	20	×10−4	×10−4	PROPN
ma-216	444	21	k	k	X
ma-216	445	1	+0.50	+0.50	PROPN
ma-216	445	2	ψ	ψ	X
ma-216	445	3	+0.4999	+0.4999	X
ma-216	445	4	σ	σ	NOUN
ma-216	445	5	+0.2775	+0.2775	ADP
ma-216	445	6	µa	µa	NOUN
ma-216	445	7	−1.12	−1.12	X
ma-216	445	8	×10−4	×10−4	NOUN
ma-216	445	9	µm	µm	ADP
ma-216	445	10	−1.2779	−1.2779	PROPN
ma-216	445	11	if	if	SCONJ
ma-216	445	12	the	the	DET
ma-216	445	13	sign	sign	NOUN
ma-216	445	14	of	of	ADP
ma-216	445	15	the	the	DET
ma-216	445	16	sensitivity	sensitivity	NOUN
ma-216	445	17	index	index	NOUN
ma-216	445	18	of	of	ADP
ma-216	445	19	a	a	DET
ma-216	445	20	given	give	VERB
ma-216	445	21	parameter	parameter	NOUN
ma-216	445	22	of	of	ADP
ma-216	445	23	r0	r0	NOUN
ma-216	445	24	is	be	AUX
ma-216	445	25	positive	positive	ADJ
ma-216	445	26	,	,	PUNCT
ma-216	445	27	it	it	PRON
ma-216	445	28	means	mean	VERB
ma-216	445	29	r0	r0	NOUN
ma-216	445	30	is	be	AUX
ma-216	445	31	directlyproportional	directlyproportional	ADJ
ma-216	445	32	to	to	ADP
ma-216	445	33	that	that	DET
ma-216	445	34	parameter	parameter	NOUN
ma-216	445	35	.	.	PUNCT
ma-216	446	1	that	that	PRON
ma-216	446	2	is	is	ADV
ma-216	446	3	,	,	PUNCT
ma-216	446	4	an	an	DET
ma-216	446	5	increase	increase	NOUN
ma-216	446	6	(	(	PUNCT
ma-216	446	7	decrease	decrease	NOUN
ma-216	446	8	)	)	PUNCT
ma-216	446	9	in	in	ADP
ma-216	446	10	the	the	DET
ma-216	446	11	parameter	parameter	NOUN
ma-216	446	12	value	value	NOUN
ma-216	446	13	when	when	SCONJ
ma-216	446	14	otherparameters	otherparameter	NOUN
ma-216	446	15	remain	remain	VERB
ma-216	446	16	constant	constant	ADJ
ma-216	446	17	would	would	AUX
ma-216	446	18	result	result	VERB
ma-216	446	19	in	in	ADP
ma-216	446	20	an	an	DET
ma-216	446	21	increase	increase	NOUN
ma-216	446	22	(	(	PUNCT
ma-216	446	23	decrease	decrease	NOUN
ma-216	446	24	)	)	PUNCT
ma-216	446	25	in	in	ADP
ma-216	446	26	disease	disease	NOUN
ma-216	446	27	incidence	incidence	NOUN
ma-216	446	28	.	.	PUNCT
ma-216	447	1	conversely	conversely	ADV
ma-216	447	2	,	,	PUNCT
ma-216	447	3	if	if	SCONJ
ma-216	447	4	the	the	DET
ma-216	447	5	sign	sign	NOUN
ma-216	447	6	of	of	ADP
ma-216	447	7	the	the	DET
ma-216	447	8	sensitivity	sensitivity	NOUN
ma-216	447	9	index	index	NOUN
ma-216	447	10	of	of	ADP
ma-216	447	11	a	a	DET
ma-216	447	12	given	give	VERB
ma-216	447	13	parameter	parameter	NOUN
ma-216	447	14	is	be	AUX
ma-216	447	15	negative	negative	ADJ
ma-216	447	16	,	,	PUNCT
ma-216	447	17	then	then	ADV
ma-216	447	18	r0	r0	NOUN
ma-216	447	19	is	be	AUX
ma-216	447	20	indirectly	indirectly	ADV
ma-216	447	21	proportionalto	proportionalto	NOUN
ma-216	447	22	that	that	DET
ma-216	447	23	parameter	parameter	NOUN
ma-216	447	24	[	[	X
ma-216	447	25	29	29	NUM
ma-216	447	26	]	]	PUNCT
ma-216	447	27	.	.	PUNCT
ma-216	448	1	from	from	ADP
ma-216	448	2	table	table	NOUN
ma-216	448	3	3	3	NUM
ma-216	448	4	,	,	PUNCT
ma-216	448	5	it	it	PRON
ma-216	448	6	is	be	AUX
ma-216	448	7	clear	clear	ADJ
ma-216	448	8	that	that	SCONJ
ma-216	448	9	an	an	DET
ma-216	448	10	increase	increase	NOUN
ma-216	448	11	in	in	ADP
ma-216	448	12	the	the	DET
ma-216	448	13	parameters	parameter	NOUN
ma-216	448	14	:	:	PUNCT
ma-216	448	15	b	b	X
ma-216	448	16	,	,	PUNCT
ma-216	448	17	βh	βh	ADP
ma-216	448	18	,	,	PUNCT
ma-216	448	19	βm	βm	VERB
ma-216	448	20	,	,	PUNCT
ma-216	448	21	k	k	NOUN
ma-216	448	22	,	,	PUNCT
ma-216	448	23	ψ	ψ	SYM
ma-216	448	24	.	.	PUNCT
ma-216	449	1	γ	γ	X
ma-216	449	2	,	,	PUNCT
ma-216	449	3	πm	πm	INTJ
ma-216	449	4	,	,	PUNCT
ma-216	449	5	and	and	CCONJ
ma-216	449	6	σ	σ	PROPN
ma-216	449	7	will	will	AUX
ma-216	449	8	lead	lead	VERB
ma-216	449	9	to	to	ADP
ma-216	449	10	an	an	DET
ma-216	449	11	increase	increase	NOUN
ma-216	449	12	in	in	ADP
ma-216	449	13	the	the	DET
ma-216	449	14	disease	disease	NOUN
ma-216	449	15	spread	spread	NOUN
ma-216	449	16	(	(	PUNCT
ma-216	449	17	r0	r0	NOUN
ma-216	449	18	)	)	PUNCT
ma-216	449	19	while	while	SCONJ
ma-216	449	20	an	an	DET
ma-216	449	21	increase	increase	NOUN
ma-216	449	22	in	in	ADP
ma-216	449	23	theparameters	theparameter	NOUN
ma-216	449	24	:	:	PUNCT
ma-216	449	25	µm	µm	NUM
ma-216	449	26	,	,	PUNCT
ma-216	449	27	τ	τ	PROPN
ma-216	449	28	,	,	PUNCT
ma-216	449	29	ω	ω	PROPN
ma-216	449	30	and	and	CCONJ
ma-216	449	31	µa	µa	NOUN
ma-216	449	32	will	will	AUX
ma-216	449	33	result	result	VERB
ma-216	449	34	in	in	ADP
ma-216	449	35	a	a	DET
ma-216	449	36	reduction	reduction	NOUN
ma-216	449	37	of	of	ADP
ma-216	449	38	the	the	DET
ma-216	449	39	disease	disease	NOUN
ma-216	449	40	spread	spread	VERB
ma-216	449	41	r0	r0	NOUN
ma-216	449	42	and	and	CCONJ
ma-216	449	43	vice	vice	NOUN
ma-216	449	44	versa	versa	ADV
ma-216	449	45	.	.	PUNCT
ma-216	450	1	4	4	X
ma-216	450	2	.	.	X
ma-216	450	3	numerical	numerical	ADJ
ma-216	450	4	simulations	simulation	NOUN
ma-216	450	5	in	in	ADP
ma-216	450	6	order	order	NOUN
ma-216	450	7	to	to	PART
ma-216	450	8	explore	explore	VERB
ma-216	450	9	the	the	DET
ma-216	450	10	possible	possible	ADJ
ma-216	450	11	impact	impact	NOUN
ma-216	450	12	of	of	ADP
ma-216	450	13	the	the	DET
ma-216	450	14	exposed	expose	VERB
ma-216	450	15	and	and	CCONJ
ma-216	450	16	infected	infect	VERB
ma-216	450	17	human	human	ADJ
ma-216	450	18	immigrants	immigrant	NOUN
ma-216	450	19	on	on	ADP
ma-216	450	20	thedynamical	thedynamical	ADJ
ma-216	450	21	behaviour	behaviour	NOUN
ma-216	450	22	of	of	ADP
ma-216	450	23	the	the	DET
ma-216	450	24	malaria	malaria	NOUN
ma-216	450	25	model	model	NOUN
ma-216	450	26	sub	sub	NOUN
ma-216	450	27	-	-	NOUN
ma-216	450	28	populations	population	NOUN
ma-216	450	29	,	,	PUNCT
ma-216	450	30	system	system	NOUN
ma-216	450	31	(	(	PUNCT
ma-216	450	32	3	3	X
ma-216	450	33	)	)	PUNCT
ma-216	450	34	is	be	AUX
ma-216	450	35	simulated	simulate	VERB
ma-216	450	36	using	use	VERB
ma-216	450	37	the	the	DET
ma-216	450	38	fol	fol	NOUN
ma-216	450	39	-	-	PUNCT
ma-216	450	40	lowing	lowing	NOUN
ma-216	450	41	assumed	assume	VERB
ma-216	450	42	set	set	NOUN
ma-216	450	43	of	of	ADP
ma-216	450	44	initial	initial	ADJ
ma-216	450	45	condition	condition	NOUN
ma-216	450	46	values	value	NOUN
ma-216	450	47	of	of	ADP
ma-216	450	48	the	the	DET
ma-216	450	49	state	state	NOUN
ma-216	450	50	variables	variable	NOUN
ma-216	450	51	:	:	PUNCT
ma-216	450	52	{	{	PUNCT
ma-216	450	53	sh(0	sh(0	NOUN
ma-216	450	54	)	)	PUNCT
ma-216	450	55	,	,	PUNCT
ma-216	450	56	eh(0	eh(0	NOUN
ma-216	450	57	)	)	PUNCT
ma-216	450	58	,	,	PUNCT
ma-216	450	59	ih(0	ih(0	NOUN
ma-216	450	60	)	)	PUNCT
ma-216	450	61	,	,	PUNCT
ma-216	450	62	rh(0	rh(0	NOUN
ma-216	450	63	)	)	PUNCT
ma-216	450	64	am(0	am(0	NOUN
ma-216	450	65	)	)	PUNCT
ma-216	450	66	,	,	PUNCT
ma-216	450	67	sm(0	sm(0	NOUN
ma-216	450	68	)	)	PUNCT
ma-216	450	69	,	,	PUNCT
ma-216	450	70	em(0	em(0	NOUN
ma-216	450	71	)	)	PUNCT
ma-216	450	72	,	,	PUNCT
ma-216	450	73	im(0	im(0	NOUN
ma-216	450	74	)	)	PUNCT
ma-216	450	75	}	}	PUNCT
ma-216	450	76	=	=	PUNCT
ma-216	450	77	{	{	PUNCT
ma-216	450	78	700	700	NUM
ma-216	450	79	,	,	PUNCT
ma-216	450	80	350	350	NUM
ma-216	450	81	,	,	PUNCT
ma-216	450	82	100	100	NUM
ma-216	450	83	,	,	PUNCT
ma-216	450	84	0	0	NUM
ma-216	450	85	,	,	PUNCT
ma-216	450	86	5000	5000	NUM
ma-216	450	87	,	,	PUNCT
ma-216	450	88	1000	1000	NUM
ma-216	450	89	,	,	PUNCT
ma-216	450	90	300	300	NUM
ma-216	450	91	,	,	PUNCT
ma-216	450	92	120}}and	120}}and	NUM
ma-216	450	93	the	the	DET
ma-216	450	94	parameter	parameter	NOUN
ma-216	450	95	values	value	NOUN
ma-216	450	96	provided	provide	VERB
ma-216	450	97	in	in	ADP
ma-216	450	98	table	table	NOUN
ma-216	450	99	1	1	NUM
ma-216	450	100	.	.	PUNCT
ma-216	451	1	the	the	DET
ma-216	451	2	results	result	NOUN
ma-216	451	3	(	(	PUNCT
ma-216	451	4	figures	figure	NOUN
ma-216	451	5	10	10	NUM
ma-216	451	6	-	-	SYM
ma-216	451	7	13	13	NUM
ma-216	451	8	)	)	PUNCT
ma-216	451	9	suggest	suggest	VERB
ma-216	451	10	that	that	SCONJ
ma-216	451	11	the	the	DET
ma-216	451	12	exposed	expose	VERB
ma-216	451	13	andinfected	andinfecte	VERB
ma-216	451	14	human	human	ADJ
ma-216	451	15	immigrants	immigrant	NOUN
ma-216	451	16	have	have	VERB
ma-216	451	17	no	no	DET
ma-216	451	18	influence	influence	NOUN
ma-216	451	19	on	on	ADP
ma-216	451	20	the	the	DET
ma-216	451	21	population	population	NOUN
ma-216	451	22	density	density	NOUN
ma-216	451	23	of	of	ADP
ma-216	451	24	the	the	DET
ma-216	451	25	humans	human	NOUN
ma-216	451	26	and	and	CCONJ
ma-216	451	27	mosquitoes	mosquitoe	VERB
ma-216	451	28	inthe	inthe	DET
ma-216	451	29	community	community	NOUN
ma-216	451	30	.	.	PUNCT
ma-216	452	1	it	it	PRON
ma-216	452	2	can	can	AUX
ma-216	452	3	also	also	ADV
ma-216	452	4	be	be	AUX
ma-216	452	5	observed	observe	VERB
ma-216	452	6	from	from	ADP
ma-216	452	7	the	the	DET
ma-216	452	8	simulation	simulation	NOUN
ma-216	452	9	results	result	VERB
ma-216	452	10	that	that	SCONJ
ma-216	452	11	the	the	DET
ma-216	452	12	population	population	NOUN
ma-216	452	13	of	of	ADP
ma-216	452	14	the	the	DET
ma-216	452	15	immature	immature	ADJ
ma-216	452	16	andsusceptible	andsusceptible	ADJ
ma-216	452	17	anopheles	anophele	NOUN
ma-216	452	18	mosquitoes	mosquito	NOUN
ma-216	452	19	remain	remain	VERB
ma-216	452	20	high	high	ADJ
ma-216	452	21	in	in	ADP
ma-216	452	22	the	the	DET
ma-216	452	23	community	community	NOUN
ma-216	452	24	.	.	PUNCT
ma-216	453	1	this	this	PRON
ma-216	453	2	implies	imply	VERB
ma-216	453	3	that	that	SCONJ
ma-216	453	4	efficient	efficient	ADJ
ma-216	453	5	vector	vector	NOUN
ma-216	453	6	control	control	NOUN
ma-216	453	7	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	453	8	eur	eur	PROPN
ma-216	453	9	.	.	PUNCT
ma-216	454	1	j.	j.	PROPN
ma-216	454	2	math	math	PROPN
ma-216	454	3	.	.	PUNCT
ma-216	455	1	anal	anal	PROPN
ma-216	455	2	.	.	PUNCT
ma-216	456	1	10.28924	10.28924	NUM
ma-216	456	2	/	/	SYM
ma-216	456	3	ada	ada	PROPN
ma-216	456	4	/	/	SYM
ma-216	456	5	ma.4.7	ma.4.7	ADJ
ma-216	456	6	19	19	NUM
ma-216	456	7	strategies	strategy	NOUN
ma-216	456	8	for	for	ADP
ma-216	456	9	both	both	CCONJ
ma-216	456	10	the	the	DET
ma-216	456	11	immature	immature	ADJ
ma-216	456	12	and	and	CCONJ
ma-216	456	13	mature	mature	ADJ
ma-216	456	14	anopheles	anophele	NOUN
ma-216	456	15	mosquitoes	mosquito	NOUN
ma-216	456	16	are	be	AUX
ma-216	456	17	urgently	urgently	ADV
ma-216	456	18	required	require	VERB
ma-216	456	19	if	if	SCONJ
ma-216	456	20	malaria	malaria	NOUN
ma-216	456	21	is	be	AUX
ma-216	456	22	to	to	PART
ma-216	456	23	beeradicated	beeradicate	VERB
ma-216	456	24	from	from	ADP
ma-216	456	25	the	the	DET
ma-216	456	26	population	population	NOUN
ma-216	456	27	.	.	PUNCT
ma-216	457	1	figure	figure	NOUN
ma-216	457	2	2	2	NUM
ma-216	457	3	.	.	PUNCT
ma-216	458	1	susceptiblehumans	susceptiblehuman	NOUN
ma-216	458	2	figure	figure	VERB
ma-216	458	3	3	3	NUM
ma-216	458	4	.	.	PUNCT
ma-216	458	5	exposed	expose	VERB
ma-216	458	6	hu	hu	PROPN
ma-216	458	7	-	-	PUNCT
ma-216	458	8	mans	mans	PROPN
ma-216	458	9	figure	figure	NOUN
ma-216	458	10	4	4	NUM
ma-216	458	11	.	.	PUNCT
ma-216	458	12	infected	infect	VERB
ma-216	458	13	hu	hu	PROPN
ma-216	458	14	-	-	PUNCT
ma-216	458	15	mans	mans	PROPN
ma-216	458	16	figure	figure	NOUN
ma-216	458	17	5	5	NUM
ma-216	458	18	.	.	PUNCT
ma-216	459	1	recoveredhumans	recoveredhumans	PROPN
ma-216	459	2	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	459	3	eur	eur	PROPN
ma-216	459	4	.	.	PUNCT
ma-216	460	1	j.	j.	PROPN
ma-216	460	2	math	math	PROPN
ma-216	460	3	.	.	PUNCT
ma-216	461	1	anal	anal	PROPN
ma-216	461	2	.	.	PUNCT
ma-216	462	1	10.28924	10.28924	NUM
ma-216	462	2	/	/	SYM
ma-216	462	3	ada	ada	PROPN
ma-216	462	4	/	/	SYM
ma-216	462	5	ma.4.7	ma.4.7	ADJ
ma-216	462	6	20	20	NUM
ma-216	462	7	figure	figure	NOUN
ma-216	462	8	6	6	NUM
ma-216	462	9	.	.	PUNCT
ma-216	462	10	aquaticmosquito	aquaticmosquito	PROPN
ma-216	462	11	figure	figure	NOUN
ma-216	462	12	7	7	NUM
ma-216	462	13	.	.	PUNCT
ma-216	462	14	susceptiblemosquito	susceptiblemosquito	PROPN
ma-216	462	15	figure	figure	NOUN
ma-216	462	16	8	8	NUM
ma-216	462	17	.	.	PUNCT
ma-216	463	1	exposedmosquitoes	exposedmosquitoes	AUX
ma-216	463	2	figure	figure	VERB
ma-216	463	3	9	9	NUM
ma-216	463	4	.	.	PUNCT
ma-216	464	1	infectedmosquitoes	infectedmosquitoe	NOUN
ma-216	464	2	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	464	3	eur	eur	PROPN
ma-216	464	4	.	.	PUNCT
ma-216	465	1	j.	j.	PROPN
ma-216	465	2	math	math	PROPN
ma-216	465	3	.	.	PUNCT
ma-216	466	1	anal	anal	PROPN
ma-216	466	2	.	.	PUNCT
ma-216	467	1	10.28924	10.28924	NUM
ma-216	467	2	/	/	SYM
ma-216	467	3	ada	ada	PROPN
ma-216	467	4	/	/	SYM
ma-216	467	5	ma.4.7	ma.4.7	ADJ
ma-216	467	6	21	21	NUM
ma-216	467	7	figure	figure	NOUN
ma-216	467	8	10	10	NUM
ma-216	467	9	.	.	PUNCT
ma-216	468	1	hu	hu	PROPN
ma-216	468	2	-	-	PUNCT
ma-216	468	3	man	man	NOUN
ma-216	468	4	classes	class	NOUN
ma-216	468	5	with	with	ADP
ma-216	468	6	p1	p1	NOUN
ma-216	468	7	=	=	SYM
ma-216	468	8	p2	p2	PROPN
ma-216	468	9	=	=	SYM
ma-216	468	10	0.2	0.2	NUM
ma-216	468	11	figure	figure	NOUN
ma-216	468	12	11	11	NUM
ma-216	468	13	.	.	PUNCT
ma-216	469	1	hu	hu	PROPN
ma-216	469	2	-	-	PUNCT
ma-216	469	3	man	man	NOUN
ma-216	469	4	classes	class	NOUN
ma-216	469	5	with	with	ADP
ma-216	469	6	p1	p1	NOUN
ma-216	469	7	=	=	SYM
ma-216	469	8	p2	p2	PROPN
ma-216	469	9	=	=	SYM
ma-216	469	10	0	0	NUM
ma-216	469	11	figure	figure	NOUN
ma-216	469	12	12	12	NUM
ma-216	469	13	.	.	PUNCT
ma-216	470	1	mosquitoclasses	mosquitoclasse	NOUN
ma-216	470	2	with	with	ADP
ma-216	470	3	p1	p1	PROPN
ma-216	470	4	=	=	SYM
ma-216	470	5	p2	p2	PROPN
ma-216	470	6	=	=	SYM
ma-216	470	7	0.2	0.2	NUM
ma-216	470	8	figure	figure	NOUN
ma-216	470	9	13	13	NUM
ma-216	470	10	.	.	PUNCT
ma-216	471	1	mosquitoclasses	mosquitoclasse	NOUN
ma-216	471	2	with	with	ADP
ma-216	471	3	p1	p1	PROPN
ma-216	471	4	=	=	SYM
ma-216	471	5	p2	p2	PROPN
ma-216	471	6	=	=	SYM
ma-216	471	7	0	0	NUM
ma-216	471	8	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	471	9	eur	eur	PROPN
ma-216	471	10	.	.	PUNCT
ma-216	472	1	j.	j.	PROPN
ma-216	472	2	math	math	PROPN
ma-216	472	3	.	.	PUNCT
ma-216	473	1	anal	anal	PROPN
ma-216	473	2	.	.	PUNCT
ma-216	474	1	10.28924	10.28924	NUM
ma-216	474	2	/	/	SYM
ma-216	474	3	ada	ada	PROPN
ma-216	474	4	/	/	SYM
ma-216	474	5	ma.4.7	ma.4.7	PROPN
ma-216	474	6	22	22	NUM
ma-216	474	7	5	5	NUM
ma-216	474	8	.	.	PUNCT
ma-216	474	9	conclusion	conclusion	NOUN
ma-216	474	10	in	in	ADP
ma-216	474	11	this	this	DET
ma-216	474	12	study	study	NOUN
ma-216	474	13	,	,	PUNCT
ma-216	474	14	a	a	DET
ma-216	474	15	deterministic	deterministic	ADJ
ma-216	474	16	compartmental	compartmental	ADJ
ma-216	474	17	model	model	NOUN
ma-216	474	18	for	for	ADP
ma-216	474	19	malaria	malaria	NOUN
ma-216	474	20	dynamics	dynamic	NOUN
ma-216	474	21	that	that	PRON
ma-216	474	22	takes	take	VERB
ma-216	474	23	into	into	ADP
ma-216	474	24	consideration	consideration	NOUN
ma-216	474	25	theinflow	theinflow	NOUN
ma-216	474	26	of	of	ADP
ma-216	474	27	exposed	expose	VERB
ma-216	474	28	and	and	CCONJ
ma-216	474	29	infected	infected	ADJ
ma-216	474	30	migrants	migrant	NOUN
ma-216	474	31	and	and	CCONJ
ma-216	474	32	the	the	DET
ma-216	474	33	recovery	recovery	NOUN
ma-216	474	34	of	of	ADP
ma-216	474	35	exposed	expose	VERB
ma-216	474	36	humans	human	NOUN
ma-216	474	37	is	be	AUX
ma-216	474	38	formulated	formulate	VERB
ma-216	474	39	and	and	CCONJ
ma-216	474	40	analysed.in	analysed.in	PUNCT
ma-216	474	41	the	the	DET
ma-216	474	42	absence	absence	NOUN
ma-216	474	43	of	of	ADP
ma-216	474	44	inflow	inflow	NOUN
ma-216	474	45	of	of	ADP
ma-216	474	46	exposed	expose	VERB
ma-216	474	47	and	and	CCONJ
ma-216	474	48	infected	infected	ADJ
ma-216	474	49	humans	human	NOUN
ma-216	474	50	from	from	ADP
ma-216	474	51	elsewhere	elsewhere	ADV
ma-216	474	52	,	,	PUNCT
ma-216	474	53	the	the	DET
ma-216	474	54	model	model	NOUN
ma-216	474	55	disease	disease	NOUN
ma-216	474	56	free	free	ADJ
ma-216	474	57	states	state	NOUN
ma-216	474	58	areobtained	areobtaine	VERB
ma-216	474	59	and	and	CCONJ
ma-216	474	60	the	the	DET
ma-216	474	61	biologically	biologically	ADV
ma-216	474	62	desired	desire	VERB
ma-216	474	63	infection	infection	NOUN
ma-216	474	64	-	-	PUNCT
ma-216	474	65	free	free	ADJ
ma-216	474	66	equilibrium	equilibrium	NOUN
ma-216	474	67	point	point	NOUN
ma-216	474	68	(	(	PUNCT
ma-216	474	69	rdfe	rdfe	ADJ
ma-216	474	70	)	)	PUNCT
ma-216	474	71	is	be	AUX
ma-216	474	72	shown	show	VERB
ma-216	474	73	to	to	PART
ma-216	474	74	be	be	AUX
ma-216	474	75	both	both	PRON
ma-216	474	76	locally	locally	ADV
ma-216	474	77	andglobally	andglobally	ADV
ma-216	474	78	asymptotically	asymptotically	ADV
ma-216	474	79	stable	stable	ADJ
ma-216	474	80	when	when	SCONJ
ma-216	474	81	the	the	DET
ma-216	474	82	disease	disease	NOUN
ma-216	474	83	reproduction	reproduction	NOUN
ma-216	474	84	number	number	NOUN
ma-216	474	85	(	(	PUNCT
ma-216	474	86	r0	r0	NOUN
ma-216	474	87	)	)	PUNCT
ma-216	474	88	is	be	AUX
ma-216	474	89	less	less	ADJ
ma-216	474	90	than	than	ADP
ma-216	474	91	one	one	NUM
ma-216	474	92	and	and	CCONJ
ma-216	474	93	unstable	unstable	ADJ
ma-216	474	94	if	if	SCONJ
ma-216	474	95	r0	r0	NOUN
ma-216	474	96	>	>	X
ma-216	474	97	1	1	X
ma-216	474	98	.	.	PUNCT
ma-216	475	1	furthermore	furthermore	ADV
ma-216	475	2	,	,	PUNCT
ma-216	475	3	we	we	PRON
ma-216	475	4	derived	derive	VERB
ma-216	475	5	the	the	DET
ma-216	475	6	equation	equation	NOUN
ma-216	475	7	for	for	ADP
ma-216	475	8	the	the	DET
ma-216	475	9	endemic	endemic	ADJ
ma-216	475	10	condition	condition	NOUN
ma-216	475	11	and	and	CCONJ
ma-216	475	12	used	use	VERB
ma-216	475	13	the	the	DET
ma-216	475	14	descartes	descartes	PROPN
ma-216	475	15	rule	rule	NOUN
ma-216	475	16	of	of	ADP
ma-216	475	17	signchange	signchange	NOUN
ma-216	475	18	to	to	PART
ma-216	475	19	establish	establish	VERB
ma-216	475	20	the	the	DET
ma-216	475	21	conditions	condition	NOUN
ma-216	475	22	for	for	SCONJ
ma-216	475	23	the	the	DET
ma-216	475	24	model	model	NOUN
ma-216	475	25	to	to	PART
ma-216	475	26	admit	admit	VERB
ma-216	475	27	one	one	NUM
ma-216	475	28	or	or	CCONJ
ma-216	475	29	three	three	NUM
ma-216	475	30	endemic	endemic	ADJ
ma-216	475	31	equilibrium	equilibrium	NOUN
ma-216	475	32	state(s	state(s	PROPN
ma-216	475	33	)	)	PUNCT
ma-216	475	34	.	.	PUNCT
ma-216	476	1	for	for	ADP
ma-216	476	2	aspecial	aspecial	ADJ
ma-216	476	3	case	case	NOUN
ma-216	476	4	of	of	ADP
ma-216	476	5	no	no	DET
ma-216	476	6	inflow	inflow	NOUN
ma-216	476	7	of	of	ADP
ma-216	476	8	exposed	expose	VERB
ma-216	476	9	or	or	CCONJ
ma-216	476	10	infected	infected	ADJ
ma-216	476	11	migrants	migrant	NOUN
ma-216	476	12	,	,	PUNCT
ma-216	476	13	we	we	PRON
ma-216	476	14	proved	prove	VERB
ma-216	476	15	that	that	SCONJ
ma-216	476	16	the	the	DET
ma-216	476	17	model	model	NOUN
ma-216	476	18	admits	admit	VERB
ma-216	476	19	a	a	DET
ma-216	476	20	global	global	ADJ
ma-216	476	21	asymptoticstable	asymptoticstable	ADJ
ma-216	476	22	unique	unique	ADJ
ma-216	476	23	endemic	endemic	ADJ
ma-216	476	24	equilibrium	equilibrium	NOUN
ma-216	476	25	if	if	SCONJ
ma-216	476	26	r0	r0	NOUN
ma-216	476	27	>	>	X
ma-216	476	28	1	1	NUM
ma-216	476	29	and	and	CCONJ
ma-216	476	30	two	two	NUM
ma-216	476	31	endemic	endemic	ADJ
ma-216	476	32	equilibria	equilibrium	NOUN
ma-216	476	33	when	when	SCONJ
ma-216	476	34	r0	r0	VERB
ma-216	476	35	<	<	X
ma-216	476	36	1	1	NUM
ma-216	476	37	.	.	PUNCT
ma-216	477	1	the	the	DET
ma-216	477	2	results	result	NOUN
ma-216	477	3	from	from	ADP
ma-216	477	4	ourlocal	ourlocal	ADJ
ma-216	477	5	sensitivity	sensitivity	NOUN
ma-216	477	6	analysis	analysis	NOUN
ma-216	477	7	revealed	reveal	VERB
ma-216	477	8	that	that	SCONJ
ma-216	477	9	adult	adult	NOUN
ma-216	477	10	mosquito	mosquito	NOUN
ma-216	477	11	removal	removal	NOUN
ma-216	477	12	and	and	CCONJ
ma-216	477	13	biting	bite	VERB
ma-216	477	14	rates	rate	NOUN
ma-216	477	15	(	(	PUNCT
ma-216	477	16	µm	µm	NOUN
ma-216	477	17	and	and	CCONJ
ma-216	477	18	b	b	NOUN
ma-216	477	19	)	)	PUNCT
ma-216	477	20	are	be	AUX
ma-216	477	21	respectivelythe	respectivelythe	DET
ma-216	477	22	most	most	ADV
ma-216	477	23	sensitive	sensitive	ADJ
ma-216	477	24	parameters	parameter	NOUN
ma-216	477	25	to	to	ADP
ma-216	477	26	the	the	DET
ma-216	477	27	spread	spread	NOUN
ma-216	477	28	of	of	ADP
ma-216	477	29	malaria	malaria	NOUN
ma-216	477	30	.	.	PUNCT
ma-216	478	1	this	this	PRON
ma-216	478	2	suggests	suggest	VERB
ma-216	478	3	that	that	SCONJ
ma-216	478	4	malaria	malaria	NOUN
ma-216	478	5	vector	vector	NOUN
ma-216	478	6	control	control	NOUN
ma-216	478	7	remainsa	remainsa	VERB
ma-216	478	8	key	key	ADJ
ma-216	478	9	factor	factor	NOUN
ma-216	478	10	for	for	ADP
ma-216	478	11	consideration	consideration	NOUN
ma-216	478	12	in	in	ADP
ma-216	478	13	the	the	DET
ma-216	478	14	elimination	elimination	NOUN
ma-216	478	15	of	of	ADP
ma-216	478	16	malaria	malaria	NOUN
ma-216	478	17	epidemics	epidemic	NOUN
ma-216	478	18	.	.	PUNCT
ma-216	479	1	our	our	PRON
ma-216	479	2	numerical	numerical	PROPN
ma-216	479	3	simulation	simulation	PROPN
ma-216	479	4	graphicalresults	graphicalresult	NOUN
ma-216	479	5	indicate	indicate	VERB
ma-216	479	6	that	that	SCONJ
ma-216	479	7	the	the	DET
ma-216	479	8	inflow	inflow	NOUN
ma-216	479	9	of	of	ADP
ma-216	479	10	exposed	expose	VERB
ma-216	479	11	and	and	CCONJ
ma-216	479	12	infected	infected	ADJ
ma-216	479	13	migrants	migrant	NOUN
ma-216	479	14	has	have	VERB
ma-216	479	15	no	no	DET
ma-216	479	16	significant	significant	ADJ
ma-216	479	17	impact	impact	NOUN
ma-216	479	18	on	on	ADP
ma-216	479	19	the	the	DET
ma-216	479	20	dynamicalbehavior	dynamicalbehavior	NOUN
ma-216	479	21	of	of	ADP
ma-216	479	22	the	the	DET
ma-216	479	23	model	model	NOUN
ma-216	479	24	population	population	NOUN
ma-216	479	25	sub	sub	NOUN
ma-216	479	26	-	-	NOUN
ma-216	479	27	classes	class	NOUN
ma-216	479	28	.	.	PUNCT
ma-216	480	1	thus	thus	ADV
ma-216	480	2	,	,	PUNCT
ma-216	480	3	we	we	PRON
ma-216	480	4	recommend	recommend	VERB
ma-216	480	5	that	that	SCONJ
ma-216	480	6	real	real	ADJ
ma-216	480	7	immigrants	immigrant	NOUN
ma-216	480	8	data	datum	NOUN
ma-216	480	9	is	be	AUX
ma-216	480	10	used	use	VERB
ma-216	480	11	to	to	ADP
ma-216	480	12	fitthe	fitthe	DET
ma-216	480	13	malaria	malaria	NOUN
ma-216	480	14	model	model	NOUN
ma-216	480	15	and	and	CCONJ
ma-216	480	16	explore	explore	VERB
ma-216	480	17	more	more	ADJ
ma-216	480	18	on	on	ADP
ma-216	480	19	the	the	DET
ma-216	480	20	disease	disease	NOUN
ma-216	480	21	dynamics	dynamic	NOUN
ma-216	480	22	in	in	ADP
ma-216	480	23	the	the	DET
ma-216	480	24	presence	presence	NOUN
ma-216	480	25	of	of	ADP
ma-216	480	26	exposed	expose	VERB
ma-216	480	27	or	or	CCONJ
ma-216	480	28	infected	infected	ADJ
ma-216	480	29	humanimmigrants	humanimmigrant	NOUN
ma-216	480	30	.	.	PUNCT
ma-216	481	1	references	reference	NOUN
ma-216	481	2	[	[	X
ma-216	481	3	1	1	X
ma-216	481	4	]	]	PUNCT
ma-216	481	5	v.	v.	CCONJ
ma-216	481	6	yiga	yiga	PROPN
ma-216	481	7	,	,	PUNCT
ma-216	481	8	h.	h.	PROPN
ma-216	481	9	nampala	nampala	PROPN
ma-216	481	10	,	,	PUNCT
ma-216	481	11	j.	j.	PROPN
ma-216	481	12	tumwiine	tumwiine	PROPN
ma-216	481	13	,	,	PUNCT
ma-216	481	14	analysis	analysis	NOUN
ma-216	481	15	of	of	ADP
ma-216	481	16	the	the	DET
ma-216	481	17	model	model	NOUN
ma-216	481	18	on	on	ADP
ma-216	481	19	the	the	DET
ma-216	481	20	effect	effect	NOUN
ma-216	481	21	of	of	ADP
ma-216	481	22	seasonal	seasonal	ADJ
ma-216	481	23	factors	factor	NOUN
ma-216	481	24	on	on	ADP
ma-216	481	25	malaria	malaria	NOUN
ma-216	481	26	transmissiondynamics	transmissiondynamic	NOUN
ma-216	481	27	,	,	PUNCT
ma-216	481	28	j.	j.	PROPN
ma-216	481	29	appl	appl	PROPN
ma-216	481	30	.	.	PROPN
ma-216	481	31	math	math	PROPN
ma-216	481	32	.	.	PUNCT
ma-216	482	1	2020	2020	NUM
ma-216	482	2	(	(	PUNCT
ma-216	482	3	2020	2020	NUM
ma-216	482	4	)	)	PUNCT
ma-216	482	5	1–19.[2	1–19.[2	NUM
ma-216	482	6	]	]	X
ma-216	482	7	o.	o.	PROPN
ma-216	482	8	s.	s.	PROPN
ma-216	482	9	maliki	maliki	PROPN
ma-216	482	10	,	,	PUNCT
ma-216	482	11	n.	n.	PROPN
ma-216	482	12	romanus	romanus	PROPN
ma-216	482	13	,	,	PUNCT
ma-216	482	14	b.	b.	PROPN
ma-216	482	15	o.	o.	PROPN
ma-216	482	16	onyemegbulem	onyemegbulem	PROPN
ma-216	482	17	,	,	PUNCT
ma-216	482	18	a	a	DET
ma-216	482	19	mathematical	mathematical	ADJ
ma-216	482	20	modelling	modelling	NOUN
ma-216	482	21	of	of	ADP
ma-216	482	22	the	the	DET
ma-216	482	23	effect	effect	NOUN
ma-216	482	24	of	of	ADP
ma-216	482	25	treatment	treatment	NOUN
ma-216	482	26	in	in	ADP
ma-216	482	27	the	the	DET
ma-216	482	28	controlof	controlof	NOUN
ma-216	482	29	malaria	malaria	NOUN
ma-216	482	30	in	in	ADP
ma-216	482	31	a	a	DET
ma-216	482	32	population	population	NOUN
ma-216	482	33	with	with	ADP
ma-216	482	34	infected	infected	ADJ
ma-216	482	35	immigrants	immigrant	NOUN
ma-216	482	36	,	,	PUNCT
ma-216	482	37	appl	appl	PROPN
ma-216	482	38	.	.	PROPN
ma-216	482	39	math	math	NOUN
ma-216	482	40	.	.	PUNCT
ma-216	483	1	9	9	NUM
ma-216	483	2	(	(	PUNCT
ma-216	483	3	2018	2018	NUM
ma-216	483	4	)	)	PUNCT
ma-216	483	5	1238–1257.[3	1238–1257.[3	NUM
ma-216	483	6	]	]	PUNCT
ma-216	483	7	w.	w.	PROPN
ma-216	483	8	h.	h.	PROPN
ma-216	483	9	organization	organization	PROPN
ma-216	483	10	,	,	PUNCT
ma-216	483	11	et	et	PROPN
ma-216	483	12	al	al	PROPN
ma-216	483	13	.	.	PROPN
ma-216	483	14	,	,	PUNCT
ma-216	483	15	who	who	PRON
ma-216	483	16	malaria	malaria	VERB
ma-216	483	17	policy	policy	NOUN
ma-216	483	18	advisory	advisory	NOUN
ma-216	483	19	group	group	NOUN
ma-216	483	20	(	(	PUNCT
ma-216	483	21	mpag	mpag	NOUN
ma-216	483	22	)	)	PUNCT
ma-216	483	23	meeting	meeting	NOUN
ma-216	483	24	report	report	NOUN
ma-216	483	25	,	,	PUNCT
ma-216	483	26	18–20	18–20	NUM
ma-216	483	27	april	april	PROPN
ma-216	483	28	2023	2023	NUM
ma-216	483	29	,	,	PUNCT
ma-216	483	30	worldhealth	worldhealth	NOUN
ma-216	483	31	organization	organization	NOUN
ma-216	483	32	,	,	PUNCT
ma-216	483	33	2023.[4	2023.[4	NUM
ma-216	483	34	]	]	X
ma-216	483	35	s.	s.	PROPN
ma-216	483	36	olaniyi	olaniyi	PROPN
ma-216	483	37	,	,	PUNCT
ma-216	483	38	k.	k.	PROPN
ma-216	483	39	okosun	okosun	PROPN
ma-216	483	40	,	,	PUNCT
ma-216	483	41	s.	s.	PROPN
ma-216	483	42	adesanya	adesanya	PROPN
ma-216	483	43	,	,	PUNCT
ma-216	483	44	r.	r.	PROPN
ma-216	483	45	lebelo	lebelo	PROPN
ma-216	483	46	,	,	PUNCT
ma-216	483	47	modelling	model	VERB
ma-216	483	48	malaria	malaria	NOUN
ma-216	483	49	dynamics	dynamic	NOUN
ma-216	483	50	with	with	ADP
ma-216	483	51	partial	partial	ADJ
ma-216	483	52	immunity	immunity	NOUN
ma-216	483	53	and	and	CCONJ
ma-216	483	54	protectedtravellers	protectedtraveller	NOUN
ma-216	483	55	:	:	PUNCT
ma-216	483	56	optimal	optimal	ADJ
ma-216	483	57	control	control	NOUN
ma-216	483	58	and	and	CCONJ
ma-216	483	59	cost	cost	NOUN
ma-216	483	60	-	-	PUNCT
ma-216	483	61	effectiveness	effectiveness	NOUN
ma-216	483	62	analysis	analysis	NOUN
ma-216	483	63	,	,	PUNCT
ma-216	483	64	j.	j.	PROPN
ma-216	483	65	biol	biol	PROPN
ma-216	483	66	.	.	PUNCT
ma-216	484	1	dyn	dyn	PROPN
ma-216	484	2	.	.	PUNCT
ma-216	485	1	14	14	NUM
ma-216	485	2	(	(	PUNCT
ma-216	485	3	2020	2020	NUM
ma-216	485	4	)	)	PUNCT
ma-216	485	5	90–115.[5	90–115.[5	NUM
ma-216	485	6	]	]	X
ma-216	485	7	m.	m.	NOUN
ma-216	485	8	y.	y.	PROPN
ma-216	485	9	li	li	PROPN
ma-216	485	10	,	,	PUNCT
ma-216	485	11	an	an	DET
ma-216	485	12	introduction	introduction	NOUN
ma-216	485	13	to	to	ADP
ma-216	485	14	mathematical	mathematical	ADJ
ma-216	485	15	modeling	modeling	NOUN
ma-216	485	16	of	of	ADP
ma-216	485	17	infectious	infectious	ADJ
ma-216	485	18	diseases	disease	NOUN
ma-216	485	19	,	,	PUNCT
ma-216	485	20	vol	vol	NOUN
ma-216	485	21	.	.	PROPN
ma-216	485	22	2	2	NUM
ma-216	485	23	,	,	PUNCT
ma-216	485	24	springer	springer	NOUN
ma-216	485	25	,	,	PUNCT
ma-216	485	26	2018.[6	2018.[6	NUM
ma-216	485	27	]	]	PUNCT
ma-216	485	28	s.	s.	PROPN
ma-216	485	29	osman	osman	PROPN
ma-216	485	30	,	,	PUNCT
ma-216	485	31	o.	o.	PROPN
ma-216	485	32	d.	d.	PROPN
ma-216	485	33	makinde	makinde	PROPN
ma-216	485	34	,	,	PUNCT
ma-216	485	35	a	a	DET
ma-216	485	36	mathematical	mathematical	ADJ
ma-216	485	37	model	model	NOUN
ma-216	485	38	for	for	ADP
ma-216	485	39	co	co	NOUN
ma-216	485	40	-	-	NOUN
ma-216	485	41	infection	infection	NOUN
ma-216	485	42	of	of	ADP
ma-216	485	43	listeriosis	listeriosis	NOUN
ma-216	485	44	and	and	CCONJ
ma-216	485	45	anthrax	anthrax	NOUN
ma-216	485	46	diseases	disease	NOUN
ma-216	485	47	,	,	PUNCT
ma-216	485	48	int	int	NOUN
ma-216	485	49	.	.	PUNCT
ma-216	486	1	j.	j.	PROPN
ma-216	486	2	math.math	math.math	PROPN
ma-216	486	3	.	.	PUNCT
ma-216	487	1	sci	sci	PROPN
ma-216	487	2	.	.	PROPN
ma-216	487	3	2018	2018	NUM
ma-216	487	4	(	(	PUNCT
ma-216	487	5	2018	2018	NUM
ma-216	487	6	)	)	PUNCT
ma-216	487	7	1725671.[7	1725671.[7	NUM
ma-216	487	8	]	]	X
ma-216	487	9	n.	n.	PROPN
ma-216	487	10	chitnis	chitnis	PROPN
ma-216	487	11	,	,	PUNCT
ma-216	487	12	j.	j.	PROPN
ma-216	487	13	m.	m.	PROPN
ma-216	487	14	hyman	hyman	PROPN
ma-216	487	15	,	,	PUNCT
ma-216	487	16	j.	j.	PROPN
ma-216	487	17	m.	m.	PROPN
ma-216	487	18	cushing	cushing	PROPN
ma-216	487	19	,	,	PUNCT
ma-216	487	20	determining	determine	VERB
ma-216	487	21	important	important	ADJ
ma-216	487	22	parameters	parameter	NOUN
ma-216	487	23	in	in	ADP
ma-216	487	24	the	the	DET
ma-216	487	25	spread	spread	NOUN
ma-216	487	26	of	of	ADP
ma-216	487	27	malaria	malaria	NOUN
ma-216	487	28	through	through	ADP
ma-216	487	29	thesensitivity	thesensitivity	NOUN
ma-216	487	30	analysis	analysis	NOUN
ma-216	487	31	of	of	ADP
ma-216	487	32	a	a	DET
ma-216	487	33	mathematical	mathematical	ADJ
ma-216	487	34	model	model	NOUN
ma-216	487	35	,	,	PUNCT
ma-216	487	36	bull	bull	NOUN
ma-216	487	37	.	.	PUNCT
ma-216	488	1	math	math	NOUN
ma-216	488	2	.	.	PUNCT
ma-216	489	1	biol	biol	PROPN
ma-216	489	2	.	.	PUNCT
ma-216	490	1	70	70	NUM
ma-216	490	2	(	(	PUNCT
ma-216	490	3	2008	2008	NUM
ma-216	490	4	)	)	PUNCT
ma-216	491	1	1272–1296.[8	1272–1296.[8	NUM
ma-216	491	2	]	]	PUNCT
ma-216	491	3	w.	w.	PROPN
ma-216	491	4	a.	a.	PROPN
ma-216	491	5	iddrisu	iddrisu	PROPN
ma-216	491	6	,	,	PUNCT
ma-216	491	7	i.	i.	PROPN
ma-216	491	8	iddrisu	iddrisu	PROPN
ma-216	491	9	,	,	PUNCT
ma-216	491	10	a.-k	a.-k	PROPN
ma-216	491	11	.	.	PUNCT
ma-216	492	1	iddrisu	iddrisu	PROPN
ma-216	492	2	,	,	PUNCT
ma-216	492	3	et	et	PROPN
ma-216	492	4	al	al	PROPN
ma-216	492	5	.	.	PROPN
ma-216	492	6	,	,	PUNCT
ma-216	492	7	modeling	model	VERB
ma-216	492	8	cholera	cholera	NOUN
ma-216	492	9	epidemiology	epidemiology	NOUN
ma-216	492	10	using	use	VERB
ma-216	492	11	stochastic	stochastic	ADJ
ma-216	492	12	differential	differential	ADJ
ma-216	492	13	equations	equation	NOUN
ma-216	492	14	,	,	PUNCT
ma-216	492	15	j.	j.	PROPN
ma-216	492	16	appl	appl	PROPN
ma-216	492	17	.	.	PROPN
ma-216	492	18	math	math	PROPN
ma-216	492	19	.	.	PUNCT
ma-216	493	1	2023	2023	NUM
ma-216	493	2	(	(	PUNCT
ma-216	493	3	2023	2023	NUM
ma-216	493	4	)	)	PUNCT
ma-216	493	5	7232395.[9	7232395.[9	NUM
ma-216	493	6	]	]	X
ma-216	493	7	a.	a.	PROPN
ma-216	493	8	y.	y.	PROPN
ma-216	493	9	mukhtar	mukhtar	PROPN
ma-216	493	10	,	,	PUNCT
ma-216	493	11	j.	j.	PROPN
ma-216	493	12	b.	b.	PROPN
ma-216	493	13	munyakazi	munyakazi	PROPN
ma-216	493	14	,	,	PUNCT
ma-216	493	15	r.	r.	PROPN
ma-216	493	16	ouifki	ouifki	PROPN
ma-216	493	17	,	,	PUNCT
ma-216	493	18	assessing	assess	VERB
ma-216	493	19	the	the	DET
ma-216	493	20	role	role	NOUN
ma-216	493	21	of	of	ADP
ma-216	493	22	human	human	ADJ
ma-216	493	23	mobility	mobility	NOUN
ma-216	493	24	on	on	ADP
ma-216	493	25	malaria	malaria	NOUN
ma-216	493	26	transmission	transmission	NOUN
ma-216	493	27	,	,	PUNCT
ma-216	493	28	math.biosci	math.biosci	PROPN
ma-216	493	29	.	.	NOUN
ma-216	493	30	320	320	NUM
ma-216	493	31	(	(	PUNCT
ma-216	493	32	2020	2020	NUM
ma-216	493	33	)	)	PUNCT
ma-216	494	1	108304.[10	108304.[10	NUM
ma-216	494	2	]	]	X
ma-216	494	3	e.	e.	PROPN
ma-216	494	4	aprianti	aprianti	PROPN
ma-216	494	5	,	,	PUNCT
ma-216	494	6	j.	j.	PROPN
ma-216	494	7	jaharuddin	jaharuddin	PROPN
ma-216	494	8	,	,	PUNCT
ma-216	494	9	e.	e.	PROPN
ma-216	494	10	h.	h.	PROPN
ma-216	494	11	nugrahani	nugrahani	PROPN
ma-216	494	12	,	,	PUNCT
ma-216	494	13	the	the	DET
ma-216	494	14	effect	effect	NOUN
ma-216	494	15	of	of	ADP
ma-216	494	16	susceptible	susceptible	ADJ
ma-216	494	17	immigrants	immigrant	NOUN
ma-216	494	18	in	in	ADP
ma-216	494	19	a	a	DET
ma-216	494	20	system	system	NOUN
ma-216	494	21	dynamic	dynamic	ADJ
ma-216	494	22	on	on	ADP
ma-216	494	23	the	the	DET
ma-216	494	24	spreadof	spreadof	NOUN
ma-216	494	25	malaria	malaria	NOUN
ma-216	494	26	in	in	ADP
ma-216	494	27	indonesia	indonesia	PROPN
ma-216	494	28	,	,	PUNCT
ma-216	494	29	j.	j.	PROPN
ma-216	494	30	teori	teori	PROPN
ma-216	494	31	apl	apl	PROPN
ma-216	494	32	.	.	PROPN
ma-216	494	33	mat	mat	PROPN
ma-216	494	34	.	.	PROPN
ma-216	494	35	6	6	NUM
ma-216	494	36	(	(	PUNCT
ma-216	494	37	2022	2022	NUM
ma-216	494	38	)	)	PUNCT
ma-216	494	39	777–788.[11	777–788.[11	NOUN
ma-216	494	40	]	]	X
ma-216	494	41	v.	v.	CCONJ
ma-216	494	42	yiga	yiga	PROPN
ma-216	494	43	,	,	PUNCT
ma-216	494	44	h.	h.	PROPN
ma-216	494	45	nampala	nampala	PROPN
ma-216	494	46	,	,	PUNCT
ma-216	494	47	j.	j.	PROPN
ma-216	494	48	tumwiine	tumwiine	PROPN
ma-216	494	49	,	,	PUNCT
ma-216	494	50	stability	stability	NOUN
ma-216	494	51	analysis	analysis	NOUN
ma-216	494	52	of	of	ADP
ma-216	494	53	a	a	DET
ma-216	494	54	malaria	malaria	NOUN
ma-216	494	55	transmission	transmission	NOUN
ma-216	494	56	model	model	NOUN
ma-216	494	57	for	for	ADP
ma-216	494	58	the	the	DET
ma-216	494	59	effect	effect	NOUN
ma-216	494	60	of	of	ADP
ma-216	494	61	infectedimmigrants	infectedimmigrant	NOUN
ma-216	494	62	with	with	ADP
ma-216	494	63	temperature	temperature	NOUN
ma-216	494	64	and	and	CCONJ
ma-216	494	65	rainfall	rainfall	NOUN
ma-216	494	66	dependent	dependent	ADJ
ma-216	494	67	parameters	parameter	NOUN
ma-216	494	68	,	,	PUNCT
ma-216	494	69	int	int	NOUN
ma-216	494	70	.	.	PUNCT
ma-216	495	1	j.	j.	PROPN
ma-216	495	2	math	math	PROPN
ma-216	495	3	.	.	PUNCT
ma-216	496	1	model	model	PROPN
ma-216	496	2	.	.	PUNCT
ma-216	497	1	comp	comp	PROPN
ma-216	497	2	.	.	PUNCT
ma-216	498	1	12	12	NUM
ma-216	498	2	(	(	PUNCT
ma-216	498	3	2022	2022	NUM
ma-216	498	4	)	)	PUNCT
ma-216	498	5	115–130.[12	115–130.[12	NUM
ma-216	498	6	]	]	X
ma-216	498	7	p.	p.	NOUN
ma-216	498	8	witbooi	witbooi	PROPN
ma-216	498	9	,	,	PUNCT
ma-216	498	10	g.	g.	PROPN
ma-216	498	11	abiodun	abiodun	PROPN
ma-216	498	12	,	,	PUNCT
ma-216	498	13	m.	m.	PROPN
ma-216	498	14	nsuami	nsuami	PROPN
ma-216	498	15	,	,	PUNCT
ma-216	498	16	a	a	DET
ma-216	498	17	model	model	NOUN
ma-216	498	18	of	of	ADP
ma-216	498	19	malaria	malaria	ADJ
ma-216	498	20	population	population	NOUN
ma-216	498	21	dynamics	dynamic	NOUN
ma-216	498	22	with	with	ADP
ma-216	498	23	migrants	migrant	NOUN
ma-216	498	24	,	,	PUNCT
ma-216	498	25	math	math	NOUN
ma-216	498	26	.	.	PUNCT
ma-216	499	1	biosci	biosci	PROPN
ma-216	499	2	.	.	PUNCT
ma-216	500	1	eng	eng	PROPN
ma-216	500	2	.	.	PUNCT
ma-216	501	1	18(2021	18(2021	NUM
ma-216	501	2	)	)	PUNCT
ma-216	501	3	7301–7317	7301–7317	NUM
ma-216	501	4	.	.	PUNCT
ma-216	502	1	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	502	2	eur	eur	PROPN
ma-216	502	3	.	.	PUNCT
ma-216	503	1	j.	j.	PROPN
ma-216	503	2	math	math	PROPN
ma-216	503	3	.	.	PUNCT
ma-216	504	1	anal	anal	PROPN
ma-216	504	2	.	.	PUNCT
ma-216	505	1	10.28924	10.28924	NUM
ma-216	505	2	/	/	SYM
ma-216	505	3	ada	ada	PROPN
ma-216	505	4	/	/	SYM
ma-216	505	5	ma.4.7	ma.4.7	NOUN
ma-216	505	6	23	23	NUM
ma-216	506	1	[	[	SYM
ma-216	506	2	13	13	NUM
ma-216	506	3	]	]	PUNCT
ma-216	506	4	s.	s.	PROPN
ma-216	506	5	yacheur	yacheur	PROPN
ma-216	506	6	,	,	PUNCT
ma-216	506	7	a.	a.	NOUN
ma-216	506	8	moussaoui	moussaoui	NOUN
ma-216	506	9	,	,	PUNCT
ma-216	506	10	a.	a.	NOUN
ma-216	506	11	tridane	tridane	NOUN
ma-216	506	12	,	,	PUNCT
ma-216	506	13	modeling	model	VERB
ma-216	506	14	the	the	DET
ma-216	506	15	imported	import	VERB
ma-216	506	16	malaria	malaria	NOUN
ma-216	506	17	to	to	ADP
ma-216	506	18	north	north	PROPN
ma-216	506	19	africa	africa	PROPN
ma-216	506	20	and	and	CCONJ
ma-216	506	21	the	the	DET
ma-216	506	22	absorption	absorption	NOUN
ma-216	506	23	effect	effect	NOUN
ma-216	506	24	ofthe	ofthe	NOUN
ma-216	506	25	immigrants	immigrant	NOUN
ma-216	506	26	,	,	PUNCT
ma-216	506	27	math	math	NOUN
ma-216	506	28	.	.	PUNCT
ma-216	507	1	biosci	biosci	PROPN
ma-216	507	2	.	.	PUNCT
ma-216	508	1	eng	eng	PROPN
ma-216	508	2	.	.	PROPN
ma-216	509	1	16	16	NUM
ma-216	509	2	(	(	PUNCT
ma-216	509	3	2019	2019	NUM
ma-216	509	4	)	)	PUNCT
ma-216	509	5	967–989.[14	967–989.[14	PROPN
ma-216	509	6	]	]	PUNCT
ma-216	509	7	o.	o.	PROPN
ma-216	509	8	d.	d.	PROPN
ma-216	509	9	makinde	makinde	PROPN
ma-216	509	10	,	,	PUNCT
ma-216	509	11	k.	k.	PROPN
ma-216	509	12	o.	o.	PROPN
ma-216	509	13	okosun	okosun	PROPN
ma-216	509	14	,	,	PUNCT
ma-216	509	15	impact	impact	NOUN
ma-216	509	16	of	of	ADP
ma-216	509	17	chemo	chemo	NOUN
ma-216	509	18	-	-	PUNCT
ma-216	509	19	therapy	therapy	NOUN
ma-216	509	20	on	on	ADP
ma-216	509	21	optimal	optimal	ADJ
ma-216	509	22	control	control	NOUN
ma-216	509	23	of	of	ADP
ma-216	509	24	malaria	malaria	NOUN
ma-216	509	25	disease	disease	NOUN
ma-216	509	26	with	with	ADP
ma-216	509	27	infected	infected	ADJ
ma-216	509	28	immigrants	immigrant	NOUN
ma-216	509	29	,	,	PUNCT
ma-216	509	30	biosystems	biosystems	PROPN
ma-216	509	31	104	104	NUM
ma-216	509	32	(	(	PUNCT
ma-216	509	33	2011	2011	NUM
ma-216	509	34	)	)	PUNCT
ma-216	509	35	32–41.[15	32–41.[15	NUM
ma-216	509	36	]	]	X
ma-216	509	37	p.	p.	NOUN
ma-216	509	38	duve	duve	PROPN
ma-216	509	39	,	,	PUNCT
ma-216	509	40	s.	s.	PROPN
ma-216	509	41	charles	charles	PROPN
ma-216	509	42	,	,	PUNCT
ma-216	509	43	j.	j.	PROPN
ma-216	509	44	munyakazi	munyakazi	PROPN
ma-216	509	45	,	,	PUNCT
ma-216	509	46	r.	r.	PROPN
ma-216	509	47	lühken	lühken	PROPN
ma-216	509	48	,	,	PUNCT
ma-216	509	49	p.	p.	NOUN
ma-216	509	50	witbooi	witbooi	NOUN
ma-216	509	51	,	,	PUNCT
ma-216	509	52	a	a	DET
ma-216	509	53	mathematical	mathematical	ADJ
ma-216	509	54	model	model	NOUN
ma-216	509	55	for	for	ADP
ma-216	509	56	malaria	malaria	NOUN
ma-216	509	57	disease	disease	NOUN
ma-216	509	58	dynamics	dynamic	NOUN
ma-216	509	59	withvaccination	withvaccination	NOUN
ma-216	509	60	and	and	CCONJ
ma-216	509	61	infected	infected	ADJ
ma-216	509	62	immigrants	immigrant	NOUN
ma-216	509	63	,	,	PUNCT
ma-216	509	64	math	math	NOUN
ma-216	509	65	.	.	PUNCT
ma-216	510	1	biosci	biosci	PROPN
ma-216	510	2	.	.	PUNCT
ma-216	511	1	eng	eng	PROPN
ma-216	511	2	.	.	PROPN
ma-216	511	3	21	21	NUM
ma-216	511	4	(	(	PUNCT
ma-216	511	5	2024	2024	NUM
ma-216	511	6	)	)	PUNCT
ma-216	511	7	1082–1109.[16	1082–1109.[16	NUM
ma-216	511	8	]	]	X
ma-216	511	9	a.	a.	NOUN
ma-216	511	10	ahkrizal	ahkrizal	PROPN
ma-216	511	11	,	,	PUNCT
ma-216	511	12	j.	j.	PROPN
ma-216	511	13	jaharuddin	jaharuddin	PROPN
ma-216	511	14	,	,	PUNCT
ma-216	511	15	e.	e.	PROPN
ma-216	511	16	h.	h.	PROPN
ma-216	511	17	nugrahani	nugrahani	PROPN
ma-216	511	18	,	,	PUNCT
ma-216	511	19	dynamics	dynamic	NOUN
ma-216	511	20	system	system	NOUN
ma-216	511	21	in	in	ADP
ma-216	511	22	the	the	DET
ma-216	511	23	seir	seir	ADJ
ma-216	511	24	-	-	PUNCT
ma-216	511	25	si	si	NOUN
ma-216	511	26	model	model	NOUN
ma-216	511	27	of	of	ADP
ma-216	511	28	the	the	DET
ma-216	511	29	spread	spread	NOUN
ma-216	511	30	of	of	ADP
ma-216	511	31	malaria	malaria	NOUN
ma-216	511	32	withrecurrence	withrecurrence	PROPN
ma-216	511	33	,	,	PUNCT
ma-216	511	34	jambura	jambura	PROPN
ma-216	511	35	j.	j.	PROPN
ma-216	511	36	biomath	biomath	PROPN
ma-216	511	37	.	.	PUNCT
ma-216	512	1	4	4	NUM
ma-216	512	2	(	(	PUNCT
ma-216	512	3	2023	2023	NUM
ma-216	512	4	)	)	PUNCT
ma-216	513	1	31–36.[17	31–36.[17	NUM
ma-216	513	2	]	]	PUNCT
ma-216	513	3	b.	b.	PROPN
ma-216	513	4	traoré	traoré	PROPN
ma-216	513	5	,	,	PUNCT
ma-216	513	6	b.	b.	PROPN
ma-216	513	7	sangaré	sangaré	PROPN
ma-216	513	8	,	,	PUNCT
ma-216	513	9	s.	s.	PROPN
ma-216	513	10	traoré	traoré	PROPN
ma-216	513	11	,	,	PUNCT
ma-216	513	12	et	et	PROPN
ma-216	513	13	al	al	PROPN
ma-216	513	14	.	.	PROPN
ma-216	513	15	,	,	PUNCT
ma-216	513	16	a	a	DET
ma-216	513	17	mathematical	mathematical	ADJ
ma-216	513	18	model	model	NOUN
ma-216	513	19	of	of	ADP
ma-216	513	20	malaria	malaria	NOUN
ma-216	513	21	transmission	transmission	NOUN
ma-216	513	22	with	with	ADP
ma-216	513	23	structured	structured	ADJ
ma-216	513	24	vectorpopulation	vectorpopulation	NOUN
ma-216	513	25	and	and	CCONJ
ma-216	513	26	seasonality	seasonality	NOUN
ma-216	513	27	,	,	PUNCT
ma-216	513	28	j.	j.	PROPN
ma-216	513	29	appl	appl	PROPN
ma-216	513	30	.	.	PROPN
ma-216	513	31	math	math	PROPN
ma-216	513	32	.	.	PUNCT
ma-216	514	1	2017	2017	NUM
ma-216	514	2	(	(	PUNCT
ma-216	514	3	2017	2017	NUM
ma-216	514	4	)	)	PUNCT
ma-216	515	1	6754097.[18	6754097.[18	NUM
ma-216	515	2	]	]	X
ma-216	515	3	f.	f.	PROPN
ma-216	515	4	agusto	agusto	PROPN
ma-216	515	5	,	,	PUNCT
ma-216	515	6	a.	a.	NOUN
ma-216	515	7	gumel	gumel	PROPN
ma-216	515	8	,	,	PUNCT
ma-216	515	9	p.	p.	PROPN
ma-216	515	10	parham	parham	PROPN
ma-216	515	11	,	,	PUNCT
ma-216	515	12	qualitative	qualitative	ADJ
ma-216	515	13	assessment	assessment	NOUN
ma-216	515	14	of	of	ADP
ma-216	515	15	the	the	DET
ma-216	515	16	role	role	NOUN
ma-216	515	17	of	of	ADP
ma-216	515	18	temperature	temperature	NOUN
ma-216	515	19	variations	variation	NOUN
ma-216	515	20	on	on	ADP
ma-216	515	21	malaria	malaria	NOUN
ma-216	515	22	transmissiondynamics	transmissiondynamic	NOUN
ma-216	515	23	,	,	PUNCT
ma-216	515	24	j.	j.	PROPN
ma-216	515	25	biol	biol	PROPN
ma-216	515	26	.	.	PUNCT
ma-216	516	1	syst	syst	PROPN
ma-216	516	2	.	.	PUNCT
ma-216	517	1	23	23	NUM
ma-216	517	2	(	(	PUNCT
ma-216	517	3	2015	2015	NUM
ma-216	518	1	)	)	PUNCT
ma-216	518	2	1550030.[19	1550030.[19	PROPN
ma-216	518	3	]	]	X
ma-216	518	4	h.	h.	PROPN
ma-216	518	5	abboubakar	abboubakar	PROPN
ma-216	518	6	,	,	PUNCT
ma-216	518	7	j.	j.	PROPN
ma-216	518	8	c.	c.	PROPN
ma-216	518	9	kamgang	kamgang	PROPN
ma-216	518	10	,	,	PUNCT
ma-216	518	11	n.	n.	PROPN
ma-216	518	12	l.	l.	PROPN
ma-216	518	13	nkamba	nkamba	PROPN
ma-216	518	14	,	,	PUNCT
ma-216	518	15	d.	d.	PROPN
ma-216	518	16	tieudjo	tieudjo	PROPN
ma-216	518	17	,	,	PUNCT
ma-216	518	18	l.	l.	PROPN
ma-216	518	19	emini	emini	PROPN
ma-216	518	20	,	,	PUNCT
ma-216	518	21	modeling	model	VERB
ma-216	518	22	the	the	DET
ma-216	518	23	dynamics	dynamic	NOUN
ma-216	518	24	of	of	ADP
ma-216	518	25	arboviral	arboviral	ADJ
ma-216	518	26	diseaseswith	diseaseswith	NOUN
ma-216	518	27	vaccination	vaccination	NOUN
ma-216	518	28	perspective	perspective	NOUN
ma-216	518	29	,	,	PUNCT
ma-216	518	30	biomath	biomath	NOUN
ma-216	518	31	4	4	NUM
ma-216	518	32	(	(	PUNCT
ma-216	518	33	2015	2015	NUM
ma-216	518	34	)	)	PUNCT
ma-216	518	35	1507241.[20	1507241.[20	NUM
ma-216	518	36	]	]	PUNCT
ma-216	518	37	k.	k.	PROPN
ma-216	518	38	okuneye	okuneye	PROPN
ma-216	518	39	,	,	PUNCT
ma-216	518	40	a.	a.	PROPN
ma-216	518	41	b.	b.	PROPN
ma-216	518	42	gumel	gumel	PROPN
ma-216	518	43	,	,	PUNCT
ma-216	518	44	analysis	analysis	NOUN
ma-216	518	45	of	of	ADP
ma-216	518	46	a	a	DET
ma-216	518	47	temperature	temperature	NOUN
ma-216	518	48	-	-	PUNCT
ma-216	518	49	and	and	CCONJ
ma-216	518	50	rainfall	rainfall	NOUN
ma-216	518	51	-	-	PUNCT
ma-216	518	52	dependent	dependent	ADJ
ma-216	518	53	model	model	NOUN
ma-216	518	54	for	for	ADP
ma-216	518	55	malaria	malaria	NOUN
ma-216	518	56	transmission	transmission	NOUN
ma-216	518	57	dynamics	dynamic	NOUN
ma-216	518	58	,	,	PUNCT
ma-216	518	59	math	math	NOUN
ma-216	518	60	.	.	PUNCT
ma-216	519	1	biosci	biosci	PROPN
ma-216	519	2	.	.	PUNCT
ma-216	520	1	287	287	NUM
ma-216	520	2	(	(	PUNCT
ma-216	520	3	2017	2017	NUM
ma-216	520	4	)	)	PUNCT
ma-216	520	5	72–92.[21	72–92.[21	NUM
ma-216	520	6	]	]	X
ma-216	520	7	a.	a.	NOUN
ma-216	520	8	abidemi	abidemi	PROPN
ma-216	520	9	,	,	PUNCT
ma-216	520	10	n.	n.	PROPN
ma-216	520	11	a.	a.	PROPN
ma-216	520	12	b.	b.	PROPN
ma-216	520	13	aziz	aziz	PROPN
ma-216	520	14	,	,	PUNCT
ma-216	520	15	analysis	analysis	NOUN
ma-216	520	16	of	of	ADP
ma-216	520	17	deterministic	deterministic	ADJ
ma-216	520	18	models	model	NOUN
ma-216	520	19	for	for	ADP
ma-216	520	20	dengue	dengue	NOUN
ma-216	520	21	disease	disease	NOUN
ma-216	520	22	transmission	transmission	NOUN
ma-216	520	23	dynamics	dynamic	NOUN
ma-216	520	24	with	with	ADP
ma-216	520	25	vaccinationperspective	vaccinationperspective	NOUN
ma-216	520	26	in	in	ADP
ma-216	520	27	johor	johor	PROPN
ma-216	520	28	,	,	PUNCT
ma-216	520	29	malaysia	malaysia	PROPN
ma-216	520	30	,	,	PUNCT
ma-216	520	31	int	int	PROPN
ma-216	520	32	.	.	PUNCT
ma-216	521	1	j.	j.	PROPN
ma-216	521	2	appl	appl	PROPN
ma-216	521	3	.	.	PUNCT
ma-216	522	1	comp	comp	PROPN
ma-216	522	2	.	.	PUNCT
ma-216	523	1	math	math	NOUN
ma-216	523	2	.	.	PUNCT
ma-216	524	1	8	8	NUM
ma-216	524	2	(	(	PUNCT
ma-216	524	3	2022	2022	NUM
ma-216	524	4	)	)	PUNCT
ma-216	525	1	45.[22	45.[22	NUM
ma-216	525	2	]	]	X
ma-216	525	3	a.	a.	NOUN
ma-216	525	4	abidemi	abidemi	PROPN
ma-216	525	5	,	,	PUNCT
ma-216	525	6	n.	n.	PROPN
ma-216	525	7	a.	a.	PROPN
ma-216	525	8	b.	b.	PROPN
ma-216	525	9	aziz	aziz	PROPN
ma-216	525	10	,	,	PUNCT
ma-216	525	11	optimal	optimal	ADJ
ma-216	525	12	control	control	NOUN
ma-216	525	13	strategies	strategy	NOUN
ma-216	525	14	for	for	ADP
ma-216	525	15	dengue	dengue	NOUN
ma-216	525	16	fever	fever	NOUN
ma-216	525	17	spread	spread	VERB
ma-216	525	18	in	in	ADP
ma-216	525	19	johor	johor	PROPN
ma-216	525	20	,	,	PUNCT
ma-216	525	21	malaysia	malaysia	PROPN
ma-216	525	22	,	,	PUNCT
ma-216	525	23	comp	comp	NOUN
ma-216	525	24	.	.	PUNCT
ma-216	525	25	meth	meth	NOUN
ma-216	525	26	.	.	PUNCT
ma-216	526	1	progr.biomed	progr.biome	VERB
ma-216	526	2	.	.	PUNCT
ma-216	527	1	196	196	NUM
ma-216	527	2	(	(	PUNCT
ma-216	527	3	2020	2020	NUM
ma-216	527	4	)	)	PUNCT
ma-216	527	5	105585.[23	105585.[23	NUM
ma-216	527	6	]	]	X
ma-216	527	7	n.	n.	PROPN
ma-216	527	8	hussaini	hussaini	PROPN
ma-216	527	9	,	,	PUNCT
ma-216	527	10	k.	k.	PROPN
ma-216	527	11	okuneye	okuneye	PROPN
ma-216	527	12	,	,	PUNCT
ma-216	527	13	a.	a.	PROPN
ma-216	527	14	b.	b.	PROPN
ma-216	527	15	gumel	gumel	PROPN
ma-216	527	16	,	,	PUNCT
ma-216	527	17	mathematical	mathematical	ADJ
ma-216	527	18	analysis	analysis	NOUN
ma-216	527	19	of	of	ADP
ma-216	527	20	a	a	DET
ma-216	527	21	model	model	NOUN
ma-216	527	22	for	for	ADP
ma-216	527	23	zoonotic	zoonotic	ADJ
ma-216	527	24	visceral	visceral	ADJ
ma-216	527	25	leishmaniasis	leishmaniasis	NOUN
ma-216	527	26	,	,	PUNCT
ma-216	527	27	infect.dis	infect.dis	PROPN
ma-216	527	28	.	.	PUNCT
ma-216	527	29	model	model	NOUN
ma-216	527	30	.	.	PROPN
ma-216	528	1	2	2	NUM
ma-216	528	2	(	(	PUNCT
ma-216	528	3	2017	2017	NUM
ma-216	528	4	)	)	PUNCT
ma-216	528	5	455–474.[24	455–474.[24	NOUN
ma-216	528	6	]	]	PUNCT
ma-216	528	7	y.	y.	PROPN
ma-216	528	8	dumont	dumont	PROPN
ma-216	528	9	,	,	PUNCT
ma-216	528	10	f.	f.	PROPN
ma-216	528	11	chiroleu	chiroleu	PROPN
ma-216	528	12	,	,	PUNCT
ma-216	528	13	c.	c.	PROPN
ma-216	528	14	domerg	domerg	PROPN
ma-216	528	15	,	,	PUNCT
ma-216	528	16	on	on	ADP
ma-216	528	17	a	a	DET
ma-216	528	18	temporal	temporal	ADJ
ma-216	528	19	model	model	NOUN
ma-216	528	20	for	for	ADP
ma-216	528	21	the	the	DET
ma-216	528	22	chikungunya	chikungunya	NOUN
ma-216	528	23	disease	disease	NOUN
ma-216	528	24	:	:	PUNCT
ma-216	528	25	modeling	modeling	NOUN
ma-216	528	26	,	,	PUNCT
ma-216	528	27	theory	theory	NOUN
ma-216	528	28	andnumerics	andnumeric	NOUN
ma-216	528	29	,	,	PUNCT
ma-216	528	30	math	math	NOUN
ma-216	528	31	.	.	PUNCT
ma-216	529	1	biosci	biosci	PROPN
ma-216	529	2	.	.	PUNCT
ma-216	530	1	213	213	NUM
ma-216	530	2	(	(	PUNCT
ma-216	530	3	2008	2008	NUM
ma-216	530	4	)	)	PUNCT
ma-216	531	1	80–91.[25	80–91.[25	NUM
ma-216	531	2	]	]	X
ma-216	531	3	s.	s.	PROPN
ma-216	531	4	osman	osman	PROPN
ma-216	531	5	,	,	PUNCT
ma-216	531	6	g.	g.	PROPN
ma-216	531	7	t.	t.	PROPN
ma-216	531	8	tilahun	tilahun	PROPN
ma-216	531	9	,	,	PUNCT
ma-216	531	10	s.	s.	PROPN
ma-216	531	11	d.	d.	PROPN
ma-216	531	12	alemu	alemu	PROPN
ma-216	531	13	,	,	PUNCT
ma-216	531	14	w.	w.	PROPN
ma-216	531	15	m.	m.	PROPN
ma-216	531	16	onsongo	onsongo	PROPN
ma-216	531	17	,	,	PUNCT
ma-216	531	18	analysis	analysis	NOUN
ma-216	531	19	of	of	ADP
ma-216	531	20	the	the	DET
ma-216	531	21	dynamics	dynamic	NOUN
ma-216	531	22	of	of	ADP
ma-216	531	23	rabies	rabie	NOUN
ma-216	531	24	in	in	ADP
ma-216	531	25	north	north	PROPN
ma-216	531	26	shewa	shewa	PROPN
ma-216	531	27	,	,	PUNCT
ma-216	531	28	ethiopia	ethiopia	PROPN
ma-216	531	29	,	,	PUNCT
ma-216	531	30	italian	italian	ADJ
ma-216	531	31	j.	j.	PROPN
ma-216	531	32	pure	pure	PROPN
ma-216	531	33	appl	appl	PROPN
ma-216	531	34	.	.	PUNCT
ma-216	531	35	math	math	NOUN
ma-216	531	36	.	.	PUNCT
ma-216	532	1	48	48	NUM
ma-216	532	2	(	(	PUNCT
ma-216	532	3	2022	2022	NUM
ma-216	532	4	)	)	PUNCT
ma-216	532	5	877–902.[26	877–902.[26	NOUN
ma-216	532	6	]	]	X
ma-216	532	7	y.	y.	PROPN
ma-216	532	8	a.	a.	PROPN
ma-216	532	9	liana	liana	PROPN
ma-216	532	10	,	,	PUNCT
ma-216	532	11	n.	n.	PROPN
ma-216	532	12	shaban	shaban	PROPN
ma-216	532	13	,	,	PUNCT
ma-216	532	14	g.	g.	PROPN
ma-216	532	15	mlay	mlay	PROPN
ma-216	532	16	,	,	PUNCT
ma-216	532	17	a.	a.	NOUN
ma-216	532	18	phibert	phibert	PROPN
ma-216	532	19	,	,	PUNCT
ma-216	532	20	african	african	ADJ
ma-216	532	21	trypanosomiasis	trypanosomiasis	NOUN
ma-216	532	22	dynamics	dynamic	NOUN
ma-216	532	23	:	:	PUNCT
ma-216	532	24	modelling	model	VERB
ma-216	532	25	the	the	DET
ma-216	532	26	effects	effect	NOUN
ma-216	532	27	of	of	ADP
ma-216	532	28	treatment	treatment	NOUN
ma-216	532	29	,	,	PUNCT
ma-216	532	30	education	education	NOUN
ma-216	532	31	,	,	PUNCT
ma-216	532	32	and	and	CCONJ
ma-216	532	33	vector	vector	NOUN
ma-216	532	34	trapping	trapping	NOUN
ma-216	532	35	,	,	PUNCT
ma-216	532	36	int	int	NOUN
ma-216	532	37	.	.	PUNCT
ma-216	533	1	j.	j.	PROPN
ma-216	533	2	math	math	PROPN
ma-216	533	3	.	.	PUNCT
ma-216	534	1	math	math	NOUN
ma-216	534	2	.	.	PUNCT
ma-216	535	1	sci	sci	PROPN
ma-216	535	2	.	.	PROPN
ma-216	535	3	2020	2020	NUM
ma-216	535	4	(	(	PUNCT
ma-216	535	5	2020	2020	NUM
ma-216	535	6	)	)	PUNCT
ma-216	536	1	3690472.[27	3690472.[27	NUM
ma-216	536	2	]	]	X
ma-216	536	3	a.	a.	PROPN
ma-216	536	4	hassan	hassan	PROPN
ma-216	536	5	,	,	PUNCT
ma-216	536	6	n.	n.	PROPN
ma-216	536	7	shaban	shaban	PROPN
ma-216	536	8	,	,	PUNCT
ma-216	536	9	onchocerciasis	onchocerciasis	NOUN
ma-216	536	10	dynamics	dynamic	NOUN
ma-216	536	11	:	:	PUNCT
ma-216	536	12	modelling	model	VERB
ma-216	536	13	the	the	DET
ma-216	536	14	effects	effect	NOUN
ma-216	536	15	of	of	ADP
ma-216	536	16	treatment	treatment	NOUN
ma-216	536	17	,	,	PUNCT
ma-216	536	18	education	education	NOUN
ma-216	536	19	and	and	CCONJ
ma-216	536	20	vector	vector	NOUN
ma-216	536	21	control	control	NOUN
ma-216	536	22	,	,	PUNCT
ma-216	536	23	j.	j.	PROPN
ma-216	536	24	biol	biol	PROPN
ma-216	536	25	.	.	PUNCT
ma-216	537	1	dyn	dyn	PROPN
ma-216	537	2	.	.	PUNCT
ma-216	538	1	14	14	NUM
ma-216	538	2	(	(	PUNCT
ma-216	538	3	2020	2020	NUM
ma-216	538	4	)	)	PUNCT
ma-216	538	5	245–268.[28	245–268.[28	NUM
ma-216	538	6	]	]	PUNCT
ma-216	538	7	j.	j.	PROPN
ma-216	538	8	p.	p.	PROPN
ma-216	538	9	la	la	PROPN
ma-216	539	1	salle	salle	PROPN
ma-216	539	2	,	,	PUNCT
ma-216	539	3	the	the	DET
ma-216	539	4	stability	stability	NOUN
ma-216	539	5	of	of	ADP
ma-216	539	6	dynamical	dynamical	ADJ
ma-216	539	7	systems	system	NOUN
ma-216	539	8	,	,	PUNCT
ma-216	539	9	siam	siam	NOUN
ma-216	539	10	,	,	PUNCT
ma-216	539	11	1976.[29	1976.[29	NUM
ma-216	539	12	]	]	X
ma-216	539	13	m.	m.	NOUN
ma-216	539	14	martcheva	martcheva	PROPN
ma-216	539	15	,	,	PUNCT
ma-216	539	16	an	an	DET
ma-216	539	17	introduction	introduction	NOUN
ma-216	539	18	to	to	ADP
ma-216	539	19	mathematical	mathematical	ADJ
ma-216	539	20	epidemiology	epidemiology	NOUN
ma-216	539	21	,	,	PUNCT
ma-216	539	22	vol	vol	NOUN
ma-216	539	23	.	.	PROPN
ma-216	539	24	61	61	NUM
ma-216	539	25	,	,	PUNCT
ma-216	539	26	springer	springer	NOUN
ma-216	539	27	,	,	PUNCT
ma-216	539	28	2015	2015	NUM
ma-216	539	29	.	.	PUNCT
ma-216	540	1	https://doi.org/10.28924/ada/ma.4.7	https://doi.org/10.28924/ada/ma.4.7	PROPN
ma-216	540	2	1	1	NUM
ma-216	540	3	.	.	PUNCT
ma-216	541	1	introduction	introduction	NOUN
ma-216	541	2	2	2	NUM
ma-216	541	3	.	.	PUNCT
ma-216	541	4	malaria	malaria	NOUN
ma-216	541	5	model	model	PROPN
ma-216	541	6	development	development	PROPN
ma-216	541	7	2.1	2.1	NUM
ma-216	541	8	.	.	PUNCT
ma-216	542	1	boundedness	boundedness	NOUN
ma-216	542	2	of	of	ADP
ma-216	542	3	solution	solution	NOUN
ma-216	542	4	2.2	2.2	NUM
ma-216	542	5	.	.	PUNCT
ma-216	542	6	invariant	invariant	ADJ
ma-216	542	7	region	region	NOUN
ma-216	542	8	2.3	2.3	NUM
ma-216	542	9	.	.	PUNCT
ma-216	543	1	model	model	PROPN
ma-216	543	2	equilibrium	equilibrium	PROPN
ma-216	543	3	points	point	VERB
ma-216	543	4	2.4	2.4	NUM
ma-216	543	5	.	.	PUNCT
ma-216	544	1	the	the	DET
ma-216	544	2	basic	basic	ADJ
ma-216	544	3	reproductive	reproductive	ADJ
ma-216	544	4	number	number	NOUN
ma-216	544	5	2.5	2.5	NUM
ma-216	544	6	.	.	PUNCT
ma-216	545	1	stability	stability	NOUN
ma-216	545	2	of	of	ADP
ma-216	545	3	malaria	malaria	NOUN
ma-216	545	4	-	-	PUNCT
ma-216	545	5	free	free	ADJ
ma-216	545	6	equilibrium	equilibrium	NOUN
ma-216	545	7	2.6	2.6	NUM
ma-216	545	8	.	.	PUNCT
ma-216	546	1	malaria	malaria	ADJ
ma-216	546	2	endemic	endemic	ADJ
ma-216	546	3	equilibrium	equilibrium	NOUN
ma-216	546	4	2.7	2.7	NUM
ma-216	546	5	.	.	PUNCT
ma-216	547	1	global	global	ADJ
ma-216	547	2	stability	stability	NOUN
ma-216	547	3	of	of	ADP
ma-216	547	4	the	the	DET
ma-216	547	5	malaria	malaria	ADJ
ma-216	547	6	endemic	endemic	ADJ
ma-216	547	7	equilibrium	equilibrium	NOUN
ma-216	547	8	point	point	NOUN
ma-216	547	9	3	3	NUM
ma-216	547	10	.	.	PUNCT
ma-216	547	11	local	local	ADJ
ma-216	547	12	sensitivity	sensitivity	NOUN
ma-216	547	13	analysis	analysis	NOUN
ma-216	547	14	4	4	NUM
ma-216	547	15	.	.	PUNCT
ma-216	547	16	numerical	numerical	ADJ
ma-216	547	17	simulations	simulation	NOUN
ma-216	547	18	5	5	NUM
ma-216	547	19	.	.	PUNCT
ma-216	548	1	conclusion	conclusion	NOUN
ma-216	548	2	references	reference	NOUN