id	sid	tid	token	lemma	pos
ma-354	1	1	2025	2025	NUM
ma-354	1	2	ada	ada	PROPN
ma-354	1	3	academica	academica	PROPN
ma-354	1	4	https://adac.eeeur	https://adac.eeeur	PROPN
ma-354	1	5	.	.	PUNCT
ma-354	2	1	j.	j.	PROPN
ma-354	2	2	math	math	PROPN
ma-354	2	3	.	.	PUNCT
ma-354	3	1	anal	anal	ADJ
ma-354	3	2	.	.	PUNCT
ma-354	4	1	5	5	NUM
ma-354	4	2	(	(	PUNCT
ma-354	4	3	2025	2025	NUM
ma-354	4	4	)	)	PUNCT
ma-354	4	5	16doi	16doi	NUM
ma-354	4	6	:	:	PUNCT
ma-354	4	7	10.28924	10.28924	NUM
ma-354	4	8	/	/	SYM
ma-354	4	9	ada	ada	PROPN
ma-354	4	10	/	/	SYM
ma-354	4	11	ma.5.16	ma.5.16	PROPN
ma-354	4	12	stability	stability	NOUN
ma-354	4	13	analysis	analysis	NOUN
ma-354	4	14	of	of	ADP
ma-354	4	15	a	a	DET
ma-354	4	16	mathematical	mathematical	ADJ
ma-354	4	17	model	model	NOUN
ma-354	4	18	for	for	ADP
ma-354	4	19	examination	examination	NOUN
ma-354	4	20	malpractice	malpractice	NOUN
ma-354	4	21	dynamics	dynamic	NOUN
ma-354	4	22	musah	musah	NOUN
ma-354	4	23	konlan∗	konlan∗	PROPN
ma-354	4	24	,	,	PUNCT
ma-354	4	25	razak	razak	PROPN
ma-354	4	26	gbemmie	gbemmie	PROPN
ma-354	4	27	chuaya	chuaya	PROPN
ma-354	4	28	department	department	PROPN
ma-354	4	29	of	of	ADP
ma-354	4	30	mathematics	mathematics	PROPN
ma-354	4	31	and	and	CCONJ
ma-354	4	32	statistics	statistic	NOUN
ma-354	4	33	,	,	PUNCT
ma-354	4	34	university	university	NOUN
ma-354	4	35	of	of	ADP
ma-354	4	36	energy	energy	NOUN
ma-354	4	37	and	and	CCONJ
ma-354	4	38	natural	natural	ADJ
ma-354	4	39	resources	resource	NOUN
ma-354	4	40	,	,	PUNCT
ma-354	4	41	sunyani	sunyani	PROPN
ma-354	4	42	,	,	PUNCT
ma-354	4	43	ghana	ghana	PROPN
ma-354	4	44	musah.konlan@uenr.edu.gh	musah.konlan@uenr.edu.gh	PROPN
ma-354	4	45	,	,	PUNCT
ma-354	4	46	chuayarazk@gmail.com	chuayarazk@gmail.com	PUNCT
ma-354	5	1	∗correspondence	∗correspondence	NOUN
ma-354	5	2	:	:	PUNCT
ma-354	5	3	musah.konlan@uenr.edu.gh	musah.konlan@uenr.edu.gh	ADJ
ma-354	5	4	abstract	abstract	NOUN
ma-354	5	5	.	.	PUNCT
ma-354	6	1	examination	examination	NOUN
ma-354	6	2	malpractice	malpractice	NOUN
ma-354	6	3	is	be	AUX
ma-354	6	4	one	one	NUM
ma-354	6	5	of	of	ADP
ma-354	6	6	the	the	DET
ma-354	6	7	key	key	ADJ
ma-354	6	8	challenges	challenge	NOUN
ma-354	6	9	endangering	endanger	VERB
ma-354	6	10	the	the	DET
ma-354	6	11	quality	quality	NOUN
ma-354	6	12	of	of	ADP
ma-354	6	13	educa	educa	NOUN
ma-354	6	14	-	-	NOUN
ma-354	6	15	tion	tion	NOUN
ma-354	6	16	in	in	ADP
ma-354	6	17	ghana	ghana	PROPN
ma-354	6	18	.	.	PUNCT
ma-354	7	1	this	this	DET
ma-354	7	2	negative	negative	ADJ
ma-354	7	3	act	act	NOUN
ma-354	7	4	refers	refer	VERB
ma-354	7	5	to	to	ADP
ma-354	7	6	any	any	DET
ma-354	7	7	form	form	NOUN
ma-354	7	8	of	of	ADP
ma-354	7	9	dishonesty	dishonesty	NOUN
ma-354	7	10	or	or	CCONJ
ma-354	7	11	irregularity	irregularity	NOUN
ma-354	7	12	that	that	PRON
ma-354	7	13	compromisesthe	compromisesthe	DET
ma-354	7	14	integrity	integrity	NOUN
ma-354	7	15	of	of	ADP
ma-354	7	16	any	any	DET
ma-354	7	17	examination	examination	NOUN
ma-354	7	18	.	.	PUNCT
ma-354	8	1	in	in	ADP
ma-354	8	2	this	this	DET
ma-354	8	3	paper	paper	NOUN
ma-354	8	4	,	,	PUNCT
ma-354	8	5	we	we	PRON
ma-354	8	6	proposed	propose	VERB
ma-354	8	7	a	a	DET
ma-354	8	8	mathematical	mathematical	ADJ
ma-354	8	9	model	model	NOUN
ma-354	8	10	for	for	ADP
ma-354	8	11	exploringthe	exploringthe	DET
ma-354	8	12	dynamics	dynamic	NOUN
ma-354	8	13	of	of	ADP
ma-354	8	14	examination	examination	NOUN
ma-354	8	15	malpractice	malpractice	NOUN
ma-354	8	16	at	at	ADP
ma-354	8	17	the	the	DET
ma-354	8	18	west	west	ADJ
ma-354	8	19	african	african	ADJ
ma-354	8	20	senior	senior	ADJ
ma-354	8	21	school	school	NOUN
ma-354	8	22	certificate	certificate	NOUN
ma-354	8	23	examination(wassce	examination(wassce	NOUN
ma-354	8	24	)	)	PUNCT
ma-354	8	25	level	level	NOUN
ma-354	8	26	in	in	ADP
ma-354	8	27	ghana	ghana	PROPN
ma-354	8	28	.	.	PUNCT
ma-354	9	1	the	the	DET
ma-354	9	2	examination	examination	NOUN
ma-354	9	3	malpractice	malpractice	NOUN
ma-354	9	4	-	-	PUNCT
ma-354	9	5	free	free	ADJ
ma-354	9	6	equilibrium	equilibrium	NOUN
ma-354	9	7	is	be	AUX
ma-354	9	8	computed	compute	VERB
ma-354	9	9	and	and	CCONJ
ma-354	9	10	shown	show	VERB
ma-354	9	11	tobe	tobe	NOUN
ma-354	9	12	both	both	CCONJ
ma-354	9	13	locally	locally	ADV
ma-354	9	14	and	and	CCONJ
ma-354	9	15	globally	globally	ADV
ma-354	9	16	stable	stable	ADJ
ma-354	9	17	if	if	SCONJ
ma-354	9	18	the	the	DET
ma-354	9	19	examination	examination	NOUN
ma-354	9	20	malpractice	malpractice	NOUN
ma-354	9	21	reproductive	reproductive	ADJ
ma-354	9	22	number	number	NOUN
ma-354	9	23	(	(	PUNCT
ma-354	9	24	r0	r0	NOUN
ma-354	9	25	)	)	PUNCT
ma-354	9	26	is	be	AUX
ma-354	9	27	lessthan	lessthan	NOUN
ma-354	9	28	one	one	NUM
ma-354	9	29	.	.	PUNCT
ma-354	10	1	the	the	DET
ma-354	10	2	examination	examination	NOUN
ma-354	10	3	malpractice	malpractice	NOUN
ma-354	10	4	endemic	endemic	ADJ
ma-354	10	5	equilibrium	equilibrium	NOUN
ma-354	10	6	is	be	AUX
ma-354	10	7	also	also	ADV
ma-354	10	8	derived	derive	VERB
ma-354	10	9	and	and	CCONJ
ma-354	10	10	found	find	VERB
ma-354	10	11	to	to	PART
ma-354	10	12	be	be	AUX
ma-354	10	13	globallyasymptotically	globallyasymptotically	ADV
ma-354	10	14	stable	stable	ADJ
ma-354	10	15	whenever	whenever	SCONJ
ma-354	10	16	r0	r0	NOUN
ma-354	10	17	is	be	AUX
ma-354	10	18	greater	great	ADJ
ma-354	10	19	than	than	ADP
ma-354	10	20	one	one	NUM
ma-354	10	21	.	.	PUNCT
ma-354	11	1	local	local	ADJ
ma-354	11	2	sensitivity	sensitivity	NOUN
ma-354	11	3	analysis	analysis	NOUN
ma-354	11	4	is	be	AUX
ma-354	11	5	performed	perform	VERB
ma-354	11	6	onthe	onthe	NOUN
ma-354	11	7	basic	basic	ADJ
ma-354	11	8	examination	examination	NOUN
ma-354	11	9	malpractice	malpractice	NOUN
ma-354	11	10	reproduction	reproduction	NOUN
ma-354	11	11	number	number	NOUN
ma-354	11	12	to	to	PART
ma-354	11	13	explore	explore	VERB
ma-354	11	14	the	the	DET
ma-354	11	15	contribution	contribution	NOUN
ma-354	11	16	of	of	ADP
ma-354	11	17	the	the	DET
ma-354	11	18	model	model	NOUN
ma-354	11	19	pa	pa	PROPN
ma-354	11	20	-	-	PUNCT
ma-354	11	21	rameters	rameter	NOUN
ma-354	11	22	to	to	ADP
ma-354	11	23	the	the	DET
ma-354	11	24	evil	evil	ADJ
ma-354	11	25	act	act	NOUN
ma-354	11	26	of	of	ADP
ma-354	11	27	examination	examination	NOUN
ma-354	11	28	malpractice	malpractice	NOUN
ma-354	11	29	.	.	PUNCT
ma-354	12	1	finally	finally	ADV
ma-354	12	2	,	,	PUNCT
ma-354	12	3	numerical	numerical	ADJ
ma-354	12	4	simulations	simulation	NOUN
ma-354	12	5	are	be	AUX
ma-354	12	6	performed	perform	VERB
ma-354	12	7	toillustrate	toillustrate	NOUN
ma-354	12	8	the	the	DET
ma-354	12	9	behavior	behavior	NOUN
ma-354	12	10	of	of	ADP
ma-354	12	11	the	the	DET
ma-354	12	12	model	model	NOUN
ma-354	12	13	sub	sub	NOUN
ma-354	12	14	-	-	NOUN
ma-354	12	15	classes	class	NOUN
ma-354	12	16	.	.	PUNCT
ma-354	13	1	1	1	X
ma-354	13	2	.	.	X
ma-354	13	3	introduction	introduction	NOUN
ma-354	13	4	examination	examination	NOUN
ma-354	13	5	remains	remain	VERB
ma-354	13	6	a	a	DET
ma-354	13	7	prominent	prominent	ADJ
ma-354	13	8	tool	tool	NOUN
ma-354	13	9	for	for	ADP
ma-354	13	10	assessing	assess	VERB
ma-354	13	11	and	and	CCONJ
ma-354	13	12	measuring	measure	VERB
ma-354	13	13	students	student	NOUN
ma-354	13	14	’	'	PUNCT
ma-354	13	15	academic	academic	ADJ
ma-354	13	16	perfor	perfor	NOUN
ma-354	13	17	-	-	PUNCT
ma-354	13	18	mance	mance	NOUN
ma-354	13	19	throughout	throughout	ADP
ma-354	13	20	our	our	PRON
ma-354	13	21	educational	educational	ADJ
ma-354	13	22	system	system	NOUN
ma-354	13	23	.	.	PUNCT
ma-354	14	1	it	it	PRON
ma-354	14	2	is	be	AUX
ma-354	14	3	used	use	VERB
ma-354	14	4	to	to	PART
ma-354	14	5	determine	determine	VERB
ma-354	14	6	the	the	DET
ma-354	14	7	transition	transition	NOUN
ma-354	14	8	of	of	ADP
ma-354	14	9	students	student	NOUN
ma-354	14	10	fromone	fromone	VERB
ma-354	14	11	lower	low	ADJ
ma-354	14	12	level	level	NOUN
ma-354	14	13	to	to	ADP
ma-354	14	14	the	the	DET
ma-354	14	15	next	next	ADJ
ma-354	14	16	higher	high	ADJ
ma-354	14	17	level	level	NOUN
ma-354	14	18	.	.	PUNCT
ma-354	15	1	on	on	ADP
ma-354	15	2	the	the	DET
ma-354	15	3	job	job	NOUN
ma-354	15	4	market	market	NOUN
ma-354	15	5	,	,	PUNCT
ma-354	15	6	examination	examination	NOUN
ma-354	15	7	also	also	ADV
ma-354	15	8	serves	serve	VERB
ma-354	15	9	as	as	ADP
ma-354	15	10	a	a	DET
ma-354	15	11	means	means	NOUN
ma-354	15	12	forpredicting	forpredicte	VERB
ma-354	15	13	a	a	DET
ma-354	15	14	job	job	NOUN
ma-354	15	15	seeker	seeker	NOUN
ma-354	15	16	’s	’s	PART
ma-354	15	17	knowledge	knowledge	NOUN
ma-354	15	18	level	level	NOUN
ma-354	15	19	,	,	PUNCT
ma-354	15	20	skills	skill	NOUN
ma-354	15	21	,	,	PUNCT
ma-354	15	22	and	and	CCONJ
ma-354	15	23	competence	competence	NOUN
ma-354	15	24	in	in	ADP
ma-354	15	25	a	a	DET
ma-354	15	26	given	give	VERB
ma-354	15	27	domain	domain	NOUN
ma-354	15	28	.	.	PUNCT
ma-354	16	1	unfortunately	unfortunately	ADV
ma-354	16	2	,	,	PUNCT
ma-354	16	3	this	this	DET
ma-354	16	4	valuable	valuable	ADJ
ma-354	16	5	measurement	measurement	NOUN
ma-354	16	6	tool	tool	NOUN
ma-354	16	7	is	be	AUX
ma-354	16	8	being	be	AUX
ma-354	16	9	compromised	compromise	VERB
ma-354	16	10	at	at	ADP
ma-354	16	11	all	all	DET
ma-354	16	12	levels	level	NOUN
ma-354	16	13	given	give	VERB
ma-354	16	14	room	room	NOUN
ma-354	16	15	to	to	ADP
ma-354	16	16	what	what	PRON
ma-354	16	17	is	be	AUX
ma-354	16	18	popularlycalled	popularlycalle	VERB
ma-354	16	19	examination	examination	NOUN
ma-354	16	20	malpractice	malpractice	NOUN
ma-354	16	21	[	[	X
ma-354	16	22	1	1	NUM
ma-354	16	23	,	,	PUNCT
ma-354	16	24	2	2	NUM
ma-354	16	25	]	]	PUNCT
ma-354	16	26	.	.	PUNCT
ma-354	17	1	examination	examination	NOUN
ma-354	17	2	malpractice	malpractice	NOUN
ma-354	17	3	can	can	AUX
ma-354	17	4	be	be	AUX
ma-354	17	5	described	describe	VERB
ma-354	17	6	as	as	ADP
ma-354	17	7	any	any	DET
ma-354	17	8	deliberateact	deliberateact	NOUN
ma-354	17	9	against	against	ADP
ma-354	17	10	the	the	DET
ma-354	17	11	official	official	ADJ
ma-354	17	12	rules	rule	NOUN
ma-354	17	13	and	and	CCONJ
ma-354	17	14	regulations	regulation	NOUN
ma-354	17	15	of	of	ADP
ma-354	17	16	an	an	DET
ma-354	17	17	examination	examination	NOUN
ma-354	17	18	,	,	PUNCT
ma-354	17	19	with	with	ADP
ma-354	17	20	the	the	DET
ma-354	17	21	intention	intention	NOUN
ma-354	17	22	of	of	ADP
ma-354	17	23	giving	give	VERB
ma-354	17	24	undueadvantage	undueadvantage	NOUN
ma-354	17	25	to	to	ADP
ma-354	17	26	a	a	DET
ma-354	17	27	candidate	candidate	NOUN
ma-354	18	1	[	[	X
ma-354	18	2	3–6	3–6	NUM
ma-354	18	3	]	]	X
ma-354	18	4	.	.	PUNCT
ma-354	19	1	examination	examination	NOUN
ma-354	19	2	malpractice	malpractice	NOUN
ma-354	19	3	has	have	AUX
ma-354	19	4	been	be	AUX
ma-354	19	5	constantly	constantly	ADV
ma-354	19	6	recorded	record	VERB
ma-354	19	7	at	at	ADP
ma-354	19	8	all	all	DET
ma-354	19	9	levelsof	levelsof	NOUN
ma-354	19	10	our	our	PRON
ma-354	19	11	educational	educational	ADJ
ma-354	19	12	institutions	institution	NOUN
ma-354	19	13	.	.	PUNCT
ma-354	20	1	data	datum	NOUN
ma-354	20	2	on	on	ADP
ma-354	20	3	examination	examination	NOUN
ma-354	20	4	malpractice	malpractice	NOUN
ma-354	20	5	at	at	ADP
ma-354	20	6	the	the	DET
ma-354	20	7	senior	senior	ADJ
ma-354	20	8	high	high	ADJ
ma-354	20	9	school	school	NOUN
ma-354	20	10	levelare	levelare	NOUN
ma-354	20	11	alarming	alarming	ADJ
ma-354	20	12	.	.	PUNCT
ma-354	21	1	in	in	ADP
ma-354	21	2	ghana	ghana	PROPN
ma-354	21	3	for	for	ADP
ma-354	21	4	example	example	NOUN
ma-354	21	5	,	,	PUNCT
ma-354	21	6	the	the	DET
ma-354	21	7	cases	case	NOUN
ma-354	21	8	of	of	ADP
ma-354	21	9	examination	examination	NOUN
ma-354	21	10	malpractice	malpractice	NOUN
ma-354	21	11	at	at	ADP
ma-354	21	12	the	the	DET
ma-354	21	13	senior	senior	ADJ
ma-354	21	14	high	high	ADJ
ma-354	21	15	schoolcertificate	schoolcertificate	NOUN
ma-354	21	16	examination	examination	NOUN
ma-354	21	17	from	from	ADP
ma-354	21	18	2020	2020	NUM
ma-354	21	19	to	to	ADP
ma-354	21	20	2024	2024	NUM
ma-354	21	21	are	be	AUX
ma-354	21	22	shown	show	VERB
ma-354	21	23	in	in	ADP
ma-354	21	24	table	table	NOUN
ma-354	21	25	1	1	NUM
ma-354	21	26	.	.	PUNCT
ma-354	22	1	also	also	ADV
ma-354	22	2	,	,	PUNCT
ma-354	22	3	it	it	PRON
ma-354	22	4	has	have	AUX
ma-354	22	5	been	be	AUX
ma-354	22	6	reported	report	VERB
ma-354	22	7	that	that	SCONJ
ma-354	22	8	innigeria	innigeria	PROPN
ma-354	22	9	1,767	1,767	NUM
ma-354	22	10	out	out	ADP
ma-354	22	11	of	of	ADP
ma-354	22	12	13,595	13,595	NUM
ma-354	22	13	and	and	CCONJ
ma-354	22	14	842	842	NUM
ma-354	22	15	out	out	ADP
ma-354	22	16	of	of	ADP
ma-354	22	17	12,030	12,030	NUM
ma-354	22	18	candidates	candidate	NOUN
ma-354	22	19	who	who	PRON
ma-354	22	20	took	take	VERB
ma-354	22	21	part	part	NOUN
ma-354	22	22	in	in	ADP
ma-354	22	23	the	the	DET
ma-354	22	24	senior	senior	ADJ
ma-354	22	25	highschool	highschool	NOUN
ma-354	22	26	certificate	certificate	NOUN
ma-354	22	27	examination	examination	NOUN
ma-354	22	28	were	be	AUX
ma-354	22	29	involved	involve	VERB
ma-354	22	30	in	in	ADP
ma-354	22	31	malpractices	malpractice	NOUN
ma-354	22	32	in	in	ADP
ma-354	22	33	2022	2022	NUM
ma-354	22	34	and	and	CCONJ
ma-354	22	35	2023	2023	NUM
ma-354	22	36	respectively	respectively	ADV
ma-354	22	37	[	[	X
ma-354	22	38	2	2	NUM
ma-354	22	39	]	]	PUNCT
ma-354	22	40	.	.	PUNCT
ma-354	23	1	received	receive	VERB
ma-354	23	2	:	:	PUNCT
ma-354	23	3	24	24	NUM
ma-354	23	4	mar	mar	PROPN
ma-354	23	5	2025	2025	NUM
ma-354	23	6	.	.	PUNCT
ma-354	24	1	key	key	ADJ
ma-354	24	2	words	word	NOUN
ma-354	24	3	and	and	CCONJ
ma-354	24	4	phrases	phrase	NOUN
ma-354	24	5	.	.	PUNCT
ma-354	25	1	examination	examination	NOUN
ma-354	25	2	malpractice	malpractice	NOUN
ma-354	25	3	;	;	PUNCT
ma-354	25	4	mathematical	mathematical	ADJ
ma-354	25	5	model	model	NOUN
ma-354	25	6	;	;	PUNCT
ma-354	25	7	stability	stability	NOUN
ma-354	25	8	analysis	analysis	NOUN
ma-354	25	9	;	;	PUNCT
ma-354	25	10	sensitivity	sensitivity	NOUN
ma-354	25	11	analysis.1	analysis.1	PROPN
ma-354	25	12	https://adac.ee	https://adac.ee	PROPN
ma-354	25	13	https://doi.org/10.28924/ada/ma.5.16	https://doi.org/10.28924/ada/ma.5.16	PROPN
ma-354	25	14	https://orcid.org/0009-0007-6219-6810	https://orcid.org/0009-0007-6219-6810	PROPN
ma-354	25	15	eur	eur	PROPN
ma-354	25	16	.	.	PUNCT
ma-354	26	1	j.	j.	PROPN
ma-354	26	2	math	math	PROPN
ma-354	26	3	.	.	PUNCT
ma-354	27	1	anal	anal	PROPN
ma-354	27	2	.	.	PUNCT
ma-354	28	1	10.28924	10.28924	NUM
ma-354	28	2	/	/	SYM
ma-354	28	3	ada	ada	PROPN
ma-354	28	4	/	/	SYM
ma-354	28	5	ma.5.16	ma.5.16	PROPN
ma-354	28	6	2examination	2examination	NUM
ma-354	28	7	malpractice	malpractice	NOUN
ma-354	28	8	has	have	AUX
ma-354	28	9	become	become	VERB
ma-354	28	10	a	a	DET
ma-354	28	11	major	major	ADJ
ma-354	28	12	concern	concern	NOUN
ma-354	28	13	in	in	ADP
ma-354	28	14	ethiopia	ethiopia	PROPN
ma-354	28	15	and	and	CCONJ
ma-354	28	16	somalia	somalia	PROPN
ma-354	29	1	[	[	X
ma-354	29	2	7	7	NUM
ma-354	29	3	]	]	PUNCT
ma-354	29	4	.	.	PUNCT
ma-354	30	1	according	accord	VERB
ma-354	30	2	tostudies	tostudie	NOUN
ma-354	30	3	conducted	conduct	VERB
ma-354	30	4	in	in	ADP
ma-354	30	5	[	[	X
ma-354	30	6	3	3	NUM
ma-354	30	7	,	,	PUNCT
ma-354	30	8	6	6	NUM
ma-354	30	9	]	]	PUNCT
ma-354	30	10	,	,	PUNCT
ma-354	30	11	people	people	NOUN
ma-354	30	12	involved	involve	VERB
ma-354	30	13	at	at	ADP
ma-354	30	14	the	the	DET
ma-354	30	15	school	school	NOUN
ma-354	30	16	level	level	NOUN
ma-354	30	17	examination	examination	NOUN
ma-354	30	18	malpractice	malpractice	NOUN
ma-354	30	19	includeacademic	includeacademic	ADJ
ma-354	30	20	authorities	authority	NOUN
ma-354	30	21	,	,	PUNCT
ma-354	30	22	students	student	NOUN
ma-354	30	23	,	,	PUNCT
ma-354	30	24	teachers	teacher	NOUN
ma-354	30	25	,	,	PUNCT
ma-354	30	26	and	and	CCONJ
ma-354	30	27	parents	parent	NOUN
ma-354	30	28	.	.	PUNCT
ma-354	31	1	this	this	DET
ma-354	31	2	bad	bad	ADJ
ma-354	31	3	phenomenon	phenomenon	NOUN
ma-354	31	4	may	may	AUX
ma-354	31	5	take	take	VERB
ma-354	31	6	place	place	NOUN
ma-354	31	7	be	be	AUX
ma-354	31	8	-	-	PUNCT
ma-354	31	9	fore	fore	NOUN
ma-354	31	10	,	,	PUNCT
ma-354	31	11	during	during	ADP
ma-354	31	12	and	and	CCONJ
ma-354	31	13	after	after	ADP
ma-354	31	14	an	an	DET
ma-354	31	15	examination	examination	NOUN
ma-354	31	16	with	with	ADP
ma-354	31	17	the	the	DET
ma-354	31	18	aim	aim	NOUN
ma-354	31	19	of	of	ADP
ma-354	31	20	achieving	achieve	VERB
ma-354	31	21	academic	academic	ADJ
ma-354	31	22	excellence	excellence	NOUN
ma-354	31	23	for	for	ADP
ma-354	31	24	both	both	DET
ma-354	31	25	thestudent	thestudent	NOUN
ma-354	31	26	and	and	CCONJ
ma-354	31	27	the	the	DET
ma-354	31	28	school	school	NOUN
ma-354	31	29	for	for	ADP
ma-354	31	30	a	a	DET
ma-354	31	31	given	give	VERB
ma-354	31	32	examination	examination	NOUN
ma-354	31	33	.	.	PUNCT
ma-354	32	1	specific	specific	ADJ
ma-354	32	2	forms	form	NOUN
ma-354	32	3	of	of	ADP
ma-354	32	4	malpractice	malpractice	NOUN
ma-354	32	5	during	during	ADP
ma-354	32	6	examinationsinclude	examinationsinclude	ADJ
ma-354	32	7	,	,	PUNCT
ma-354	32	8	but	but	CCONJ
ma-354	32	9	are	be	AUX
ma-354	32	10	not	not	PART
ma-354	32	11	limited	limit	VERB
ma-354	32	12	to	to	ADP
ma-354	32	13	:	:	PUNCT
ma-354	32	14	tattooing	tattooing	NOUN
ma-354	32	15	,	,	PUNCT
ma-354	32	16	examination	examination	NOUN
ma-354	32	17	paper	paper	NOUN
ma-354	32	18	leakage	leakage	NOUN
ma-354	32	19	,	,	PUNCT
ma-354	32	20	support	support	NOUN
ma-354	32	21	from	from	ADP
ma-354	32	22	invigilators	invigilator	NOUN
ma-354	32	23	,	,	PUNCT
ma-354	32	24	impersonation	impersonation	NOUN
ma-354	32	25	,	,	PUNCT
ma-354	32	26	smuggling	smuggling	NOUN
ma-354	32	27	of	of	ADP
ma-354	32	28	unauthorized	unauthorized	ADJ
ma-354	32	29	materials	material	NOUN
ma-354	32	30	into	into	ADP
ma-354	32	31	the	the	DET
ma-354	32	32	examination	examination	NOUN
ma-354	32	33	room	room	NOUN
ma-354	32	34	,	,	PUNCT
ma-354	32	35	and	and	CCONJ
ma-354	32	36	giraffing	giraffe	VERB
ma-354	32	37	in	in	ADP
ma-354	32	38	theexamination	theexamination	NOUN
ma-354	32	39	room	room	NOUN
ma-354	33	1	[	[	X
ma-354	33	2	3,4,6,8	3,4,6,8	NUM
ma-354	33	3	]	]	PUNCT
ma-354	33	4	.	.	PUNCT
ma-354	34	1	it	it	PRON
ma-354	34	2	is	be	AUX
ma-354	34	3	clear	clear	ADJ
ma-354	34	4	from	from	ADP
ma-354	34	5	the	the	DET
ma-354	34	6	above	above	ADV
ma-354	34	7	-	-	PUNCT
ma-354	34	8	mentioned	mention	VERB
ma-354	34	9	that	that	SCONJ
ma-354	34	10	examination	examination	NOUN
ma-354	34	11	malpractice	malpractice	NOUN
ma-354	34	12	posesa	posesa	PROPN
ma-354	34	13	significant	significant	ADJ
ma-354	34	14	risk	risk	NOUN
ma-354	34	15	to	to	ADP
ma-354	34	16	the	the	DET
ma-354	34	17	educational	educational	ADJ
ma-354	34	18	system	system	NOUN
ma-354	34	19	of	of	ADP
ma-354	34	20	a	a	DET
ma-354	34	21	nation	nation	NOUN
ma-354	34	22	.	.	PUNCT
ma-354	35	1	in	in	ADP
ma-354	35	2	a	a	DET
ma-354	35	3	nutshell	nutshell	NOUN
ma-354	35	4	,	,	PUNCT
ma-354	35	5	examination	examination	NOUN
ma-354	35	6	malpractice	malpractice	NOUN
ma-354	35	7	low	low	ADJ
ma-354	35	8	-	-	PUNCT
ma-354	35	9	ers	er	NOUN
ma-354	35	10	educational	educational	ADJ
ma-354	35	11	standards	standard	NOUN
ma-354	35	12	,	,	PUNCT
ma-354	35	13	discredits	discredit	VERB
ma-354	35	14	certificates	certificate	NOUN
ma-354	35	15	obtained	obtain	VERB
ma-354	35	16	through	through	ADP
ma-354	35	17	examination	examination	NOUN
ma-354	35	18	,	,	PUNCT
ma-354	35	19	discourages	discourage	VERB
ma-354	35	20	hardwork	hardwork	NOUN
ma-354	35	21	,	,	PUNCT
ma-354	35	22	leads	lead	VERB
ma-354	35	23	to	to	ADP
ma-354	35	24	academic	academic	ADJ
ma-354	35	25	dishonesty	dishonesty	NOUN
ma-354	35	26	and	and	CCONJ
ma-354	35	27	above	above	ADV
ma-354	35	28	all	all	PRON
ma-354	35	29	reduces	reduce	VERB
ma-354	35	30	productivity	productivity	NOUN
ma-354	35	31	.	.	PUNCT
ma-354	36	1	thus	thus	ADV
ma-354	36	2	,	,	PUNCT
ma-354	36	3	contributing	contribute	VERB
ma-354	36	4	factorsto	factorsto	NOUN
ma-354	36	5	this	this	DET
ma-354	36	6	malfeasance	malfeasance	NOUN
ma-354	36	7	need	need	VERB
ma-354	36	8	to	to	PART
ma-354	36	9	be	be	AUX
ma-354	36	10	identified	identify	VERB
ma-354	36	11	and	and	CCONJ
ma-354	36	12	tackled	tackle	VERB
ma-354	36	13	[	[	X
ma-354	36	14	1,2	1,2	NUM
ma-354	36	15	]	]	PUNCT
ma-354	36	16	.	.	PUNCT
ma-354	37	1	mathematical	mathematical	ADJ
ma-354	37	2	modelling	modelling	NOUN
ma-354	37	3	has	have	AUX
ma-354	37	4	become	become	VERB
ma-354	37	5	aneffective	aneffective	ADJ
ma-354	37	6	toolbox	toolbox	NOUN
ma-354	37	7	for	for	ADP
ma-354	37	8	understanding	understand	VERB
ma-354	37	9	the	the	DET
ma-354	37	10	occurrence	occurrence	NOUN
ma-354	37	11	of	of	ADP
ma-354	37	12	dynamical	dynamical	ADJ
ma-354	37	13	phenomena	phenomenon	NOUN
ma-354	37	14	[	[	X
ma-354	37	15	9,10	9,10	NUM
ma-354	37	16	]	]	X
ma-354	37	17	.	.	PUNCT
ma-354	38	1	however	however	ADV
ma-354	38	2	,	,	PUNCT
ma-354	38	3	math	math	NOUN
ma-354	38	4	-	-	PUNCT
ma-354	38	5	ematical	ematical	ADJ
ma-354	38	6	models	model	NOUN
ma-354	38	7	for	for	ADP
ma-354	38	8	studying	study	VERB
ma-354	38	9	examination	examination	NOUN
ma-354	38	10	malpractice	malpractice	NOUN
ma-354	38	11	are	be	AUX
ma-354	38	12	very	very	ADV
ma-354	38	13	scarce	scarce	ADJ
ma-354	38	14	in	in	ADP
ma-354	38	15	the	the	DET
ma-354	38	16	literature	literature	NOUN
ma-354	38	17	.	.	PUNCT
ma-354	39	1	the	the	DET
ma-354	39	2	authorsin	authorsin	NOUN
ma-354	39	3	[	[	X
ma-354	39	4	11	11	NUM
ma-354	39	5	]	]	PUNCT
ma-354	39	6	formulated	formulated	ADJ
ma-354	39	7	and	and	CCONJ
ma-354	39	8	analyzed	analyze	VERB
ma-354	39	9	a	a	DET
ma-354	39	10	dynamical	dynamical	ADJ
ma-354	39	11	model	model	NOUN
ma-354	39	12	of	of	ADP
ma-354	39	13	examination	examination	NOUN
ma-354	39	14	malpractice	malpractice	NOUN
ma-354	39	15	taking	take	VERB
ma-354	39	16	into	into	ADP
ma-354	39	17	accountkey	accountkey	NOUN
ma-354	39	18	players	player	NOUN
ma-354	39	19	in	in	ADP
ma-354	39	20	nigeria	nigeria	PROPN
ma-354	39	21	.	.	PUNCT
ma-354	40	1	their	their	PRON
ma-354	40	2	analysis	analysis	NOUN
ma-354	40	3	indicated	indicate	VERB
ma-354	40	4	that	that	SCONJ
ma-354	40	5	leakages	leakage	NOUN
ma-354	40	6	of	of	ADP
ma-354	40	7	examination	examination	NOUN
ma-354	40	8	question	question	NOUN
ma-354	40	9	papers	paper	NOUN
ma-354	40	10	hasthe	hasthe	ADP
ma-354	40	11	highest	high	ADJ
ma-354	40	12	influence	influence	NOUN
ma-354	40	13	on	on	ADP
ma-354	40	14	the	the	DET
ma-354	40	15	spread	spread	NOUN
ma-354	40	16	of	of	ADP
ma-354	40	17	examination	examination	NOUN
ma-354	40	18	malpractice	malpractice	NOUN
ma-354	40	19	.	.	PUNCT
ma-354	41	1	ayoade	ayoade	PROPN
ma-354	41	2	and	and	CCONJ
ma-354	41	3	farayola	farayola	PROPN
ma-354	42	1	[	[	X
ma-354	42	2	11	11	NUM
ma-354	42	3	]	]	SYM
ma-354	42	4	devel	devel	NOUN
ma-354	42	5	-	-	PUNCT
ma-354	42	6	oped	ope	VERB
ma-354	42	7	a	a	DET
ma-354	42	8	mathematical	mathematical	ADJ
ma-354	42	9	model	model	NOUN
ma-354	42	10	for	for	ADP
ma-354	42	11	the	the	DET
ma-354	42	12	mechanisms	mechanism	NOUN
ma-354	42	13	of	of	ADP
ma-354	42	14	examination	examination	NOUN
ma-354	42	15	malpractice	malpractice	NOUN
ma-354	42	16	with	with	ADP
ma-354	42	17	control	control	NOUN
ma-354	42	18	strategiessuch	strategiessuch	ADJ
ma-354	42	19	as	as	ADP
ma-354	42	20	:	:	PUNCT
ma-354	42	21	social	social	ADJ
ma-354	42	22	reengineering	reengineering	NOUN
ma-354	42	23	and	and	CCONJ
ma-354	42	24	orientation	orientation	NOUN
ma-354	42	25	with	with	ADP
ma-354	42	26	proportional	proportional	ADJ
ma-354	42	27	punishment	punishment	NOUN
ma-354	42	28	/	/	SYM
ma-354	42	29	disciplinary	disciplinary	ADJ
ma-354	42	30	action	action	NOUN
ma-354	42	31	forexamination	forexamination	NOUN
ma-354	42	32	malpractice	malpractice	NOUN
ma-354	42	33	victims	victim	NOUN
ma-354	42	34	.	.	PUNCT
ma-354	43	1	to	to	PART
ma-354	43	2	fill	fill	VERB
ma-354	43	3	this	this	DET
ma-354	43	4	research	research	NOUN
ma-354	43	5	gap	gap	NOUN
ma-354	43	6	,	,	PUNCT
ma-354	43	7	this	this	DET
ma-354	43	8	work	work	NOUN
ma-354	43	9	aims	aim	VERB
ma-354	43	10	to	to	PART
ma-354	43	11	propose	propose	VERB
ma-354	43	12	a	a	DET
ma-354	43	13	deterministiccompartmental	deterministiccompartmental	ADJ
ma-354	43	14	model	model	NOUN
ma-354	43	15	to	to	PART
ma-354	43	16	study	study	VERB
ma-354	43	17	exam	exam	NOUN
ma-354	43	18	malpractice	malpractice	NOUN
ma-354	43	19	at	at	ADP
ma-354	43	20	the	the	DET
ma-354	43	21	west	west	ADJ
ma-354	43	22	african	african	ADJ
ma-354	43	23	senior	senior	ADJ
ma-354	43	24	high	high	ADJ
ma-354	43	25	school	school	NOUN
ma-354	43	26	certificateexamination	certificateexamination	NOUN
ma-354	43	27	(	(	PUNCT
ma-354	43	28	wassce	wassce	NOUN
ma-354	43	29	)	)	PUNCT
ma-354	43	30	in	in	ADP
ma-354	43	31	ghana	ghana	PROPN
ma-354	43	32	.	.	PUNCT
ma-354	44	1	table	table	NOUN
ma-354	44	2	1	1	NUM
ma-354	44	3	.	.	PUNCT
ma-354	45	1	wassce	wassce	PROPN
ma-354	45	2	provisional	provisional	ADJ
ma-354	45	3	data	datum	NOUN
ma-354	45	4	for	for	ADP
ma-354	45	5	ghana	ghana	PROPN
ma-354	45	6	(	(	PUNCT
ma-354	45	7	2020	2020	NUM
ma-354	45	8	2024	2024	NUM
ma-354	45	9	)	)	PUNCT
ma-354	45	10	year	year	NOUN
ma-354	45	11	n(t	n(t	PROPN
ma-354	45	12	)	)	PUNCT
ma-354	45	13	m(t	m(t	NOUN
ma-354	45	14	)	)	PUNCT
ma-354	45	15	c(t	c(t	PROPN
ma-354	45	16	)	)	PUNCT
ma-354	45	17	pending	pende	VERB
ma-354	45	18	2020	2020	NUM
ma-354	45	19	375	375	NUM
ma-354	45	20	,	,	PUNCT
ma-354	45	21	763	763	NUM
ma-354	45	22	2	2	NUM
ma-354	45	23	,	,	PUNCT
ma-354	45	24	863	863	NUM
ma-354	45	25	480	480	NUM
ma-354	45	26	384	384	NUM
ma-354	45	27	2021	2021	NUM
ma-354	45	28	446352	446352	NUM
ma-354	45	29	1	1	NUM
ma-354	45	30	,	,	PUNCT
ma-354	45	31	513	513	NUM
ma-354	45	32	174	174	NUM
ma-354	45	33	3	3	NUM
ma-354	45	34	,	,	PUNCT
ma-354	45	35	667	667	NUM
ma-354	45	36	2022	2022	NUM
ma-354	45	37	422	422	NUM
ma-354	45	38	,	,	PUNCT
ma-354	45	39	883	883	NUM
ma-354	45	40	4	4	NUM
ma-354	45	41	,	,	PUNCT
ma-354	45	42	363	363	NUM
ma-354	45	43	518	518	NUM
ma-354	45	44	117	117	NUM
ma-354	45	45	2023	2023	NUM
ma-354	45	46	448	448	NUM
ma-354	45	47	,	,	PUNCT
ma-354	45	48	674	674	NUM
ma-354	45	49	4	4	NUM
ma-354	45	50	,	,	PUNCT
ma-354	45	51	486	486	NUM
ma-354	45	52	839	839	NUM
ma-354	45	53	5	5	NUM
ma-354	45	54	,	,	PUNCT
ma-354	45	55	285	285	NUM
ma-354	45	56	2024	2024	NUM
ma-354	45	57	460	460	NUM
ma-354	45	58	,	,	PUNCT
ma-354	45	59	611	611	NUM
ma-354	45	60	4	4	NUM
ma-354	45	61	,	,	PUNCT
ma-354	45	62	591	591	NUM
ma-354	45	63	483	483	NUM
ma-354	45	64	990	990	NUM
ma-354	45	65	source	source	NOUN
ma-354	45	66	:	:	PUNCT
ma-354	45	67	https://www.myjoyonline.com/?s=release+of+wassce+results	https://www.myjoyonline.com/?s=release+of+wassce+result	VERB
ma-354	45	68	2	2	NUM
ma-354	45	69	.	.	PUNCT
ma-354	45	70	model	model	NOUN
ma-354	45	71	construction	construction	NOUN
ma-354	45	72	to	to	PART
ma-354	45	73	construct	construct	VERB
ma-354	45	74	a	a	DET
ma-354	45	75	compartmental	compartmental	ADJ
ma-354	45	76	model	model	NOUN
ma-354	45	77	for	for	ADP
ma-354	45	78	examining	examine	VERB
ma-354	45	79	the	the	DET
ma-354	45	80	dynamics	dynamic	NOUN
ma-354	45	81	of	of	ADP
ma-354	45	82	examination	examination	NOUN
ma-354	45	83	malpractice	malpractice	NOUN
ma-354	45	84	,	,	PUNCT
ma-354	45	85	thetotal	thetotal	ADJ
ma-354	45	86	number	number	NOUN
ma-354	45	87	of	of	ADP
ma-354	45	88	candidates	candidate	NOUN
ma-354	45	89	sitting	sit	VERB
ma-354	45	90	for	for	ADP
ma-354	45	91	the	the	DET
ma-354	45	92	examination	examination	NOUN
ma-354	45	93	at	at	ADP
ma-354	45	94	time	time	NOUN
ma-354	45	95	t	t	PROPN
ma-354	45	96	(	(	PUNCT
ma-354	45	97	n(t	n(t	PROPN
ma-354	45	98	)	)	PUNCT
ma-354	45	99	)	)	PUNCT
ma-354	45	100	is	be	AUX
ma-354	45	101	stratified	stratify	VERB
ma-354	45	102	into	into	ADP
ma-354	45	103	five	five	NUM
ma-354	45	104	sub	sub	NOUN
ma-354	45	105	-	-	NOUN
ma-354	45	106	classes	class	NOUN
ma-354	45	107	.	.	PUNCT
ma-354	46	1	namely	namely	ADV
ma-354	46	2	:	:	PUNCT
ma-354	46	3	s(t	s(t	PROPN
ma-354	46	4	)	)	PUNCT
ma-354	46	5	,	,	PUNCT
ma-354	46	6	m(t	m(t	NOUN
ma-354	46	7	)	)	PUNCT
ma-354	46	8	,	,	PUNCT
ma-354	46	9	c(t	c(t	PROPN
ma-354	46	10	)	)	PUNCT
ma-354	46	11	,	,	PUNCT
ma-354	46	12	r(t	r(t	NOUN
ma-354	46	13	)	)	PUNCT
ma-354	46	14	and	and	CCONJ
ma-354	46	15	h(t	h(t	NUM
ma-354	46	16	)	)	PUNCT
ma-354	46	17	(	(	PUNCT
ma-354	46	18	see	see	VERB
ma-354	46	19	table	table	NOUN
ma-354	46	20	2	2	NUM
ma-354	46	21	)	)	PUNCT
ma-354	46	22	.	.	PUNCT
ma-354	47	1	candidates	candidate	NOUN
ma-354	47	2	are	be	AUX
ma-354	47	3	recruited	recruit	VERB
ma-354	47	4	into	into	ADP
ma-354	47	5	the	the	DET
ma-354	47	6	https://doi.org/10.28924/ada/ma.5.16	https://doi.org/10.28924/ada/ma.5.16	PROPN
ma-354	47	7	https://www.myjoyonline.com/?s=release+of+wassce+results	https://www.myjoyonline.com/?s=release+of+wassce+result	VERB
ma-354	47	8	eur	eur	PROPN
ma-354	47	9	.	.	PUNCT
ma-354	48	1	j.	j.	PROPN
ma-354	48	2	math	math	PROPN
ma-354	48	3	.	.	PUNCT
ma-354	49	1	anal	anal	PROPN
ma-354	49	2	.	.	PUNCT
ma-354	50	1	10.28924	10.28924	NUM
ma-354	50	2	/	/	SYM
ma-354	50	3	ada	ada	PROPN
ma-354	50	4	/	/	SYM
ma-354	50	5	ma.5.16	ma.5.16	PROPN
ma-354	50	6	3susceptible	3susceptible	NUM
ma-354	50	7	class	class	NOUN
ma-354	50	8	(	(	PUNCT
ma-354	50	9	s(t	s(t	PROPN
ma-354	50	10	)	)	PUNCT
ma-354	50	11	)	)	PUNCT
ma-354	50	12	at	at	ADP
ma-354	50	13	rate	rate	PROPN
ma-354	50	14	λ	λ	PROPN
ma-354	50	15	.	.	PUNCT
ma-354	51	1	some	some	DET
ma-354	51	2	susceptible	susceptible	ADJ
ma-354	51	3	candidates	candidate	NOUN
ma-354	51	4	move	move	VERB
ma-354	51	5	to	to	ADP
ma-354	51	6	honest	honest	ADJ
ma-354	51	7	candidates	candidate	NOUN
ma-354	51	8	class(h(t	class(h(t	PUNCT
ma-354	51	9	)	)	PUNCT
ma-354	51	10	)	)	PUNCT
ma-354	51	11	at	at	ADP
ma-354	51	12	rate	rate	NOUN
ma-354	51	13	β	β	NOUN
ma-354	51	14	.	.	PUNCT
ma-354	52	1	other	other	ADJ
ma-354	52	2	susceptible	susceptible	ADJ
ma-354	52	3	candidates	candidate	NOUN
ma-354	52	4	engage	engage	VERB
ma-354	52	5	into	into	ADP
ma-354	52	6	malpractices	malpractice	NOUN
ma-354	52	7	and	and	CCONJ
ma-354	52	8	move	move	VERB
ma-354	52	9	to	to	ADP
ma-354	52	10	malpracticeclass	malpracticeclass	PROPN
ma-354	52	11	(	(	PUNCT
ma-354	52	12	m(t	m(t	NOUN
ma-354	52	13	)	)	PUNCT
ma-354	52	14	)	)	PUNCT
ma-354	52	15	at	at	ADP
ma-354	52	16	rate	rate	NOUN
ma-354	52	17	θ	θ	PROPN
ma-354	52	18	.	.	PUNCT
ma-354	52	19	candidates	candidate	NOUN
ma-354	52	20	in	in	ADP
ma-354	52	21	the	the	DET
ma-354	52	22	malpractice	malpractice	NOUN
ma-354	52	23	class	class	NOUN
ma-354	52	24	either	either	CCONJ
ma-354	52	25	recover	recover	VERB
ma-354	52	26	from	from	ADP
ma-354	52	27	malpractice	malpractice	NOUN
ma-354	52	28	and	and	CCONJ
ma-354	52	29	moveto	moveto	NOUN
ma-354	52	30	recovered	recovered	ADJ
ma-354	52	31	class	class	NOUN
ma-354	52	32	(	(	PUNCT
ma-354	52	33	r(t	r(t	NOUN
ma-354	52	34	)	)	PUNCT
ma-354	52	35	)	)	PUNCT
ma-354	52	36	at	at	ADP
ma-354	52	37	rate	rate	NOUN
ma-354	52	38	τ	τ	PROPN
ma-354	52	39	or	or	CCONJ
ma-354	52	40	have	have	VERB
ma-354	52	41	their	their	PRON
ma-354	52	42	entire	entire	ADJ
ma-354	52	43	results	result	NOUN
ma-354	52	44	cancelled	cancel	VERB
ma-354	52	45	at	at	ADP
ma-354	52	46	rate	rate	NOUN
ma-354	52	47	δ	δ	PROPN
ma-354	52	48	.	.	PUNCT
ma-354	53	1	some	some	PRON
ma-354	53	2	recoveredcandidates	recoveredcandidate	VERB
ma-354	53	3	progress	progress	VERB
ma-354	53	4	to	to	ADP
ma-354	53	5	honest	honest	ADJ
ma-354	53	6	candidates	candidate	NOUN
ma-354	53	7	class	class	NOUN
ma-354	53	8	at	at	ADP
ma-354	53	9	rate	rate	NOUN
ma-354	53	10	α	α	NOUN
ma-354	53	11	.	.	PUNCT
ma-354	54	1	each	each	DET
ma-354	54	2	model	model	NOUN
ma-354	54	3	sub	sub	NOUN
ma-354	54	4	-	-	NOUN
ma-354	54	5	class	class	NOUN
ma-354	54	6	is	be	AUX
ma-354	54	7	reduced	reduce	VERB
ma-354	54	8	at	at	ADP
ma-354	54	9	arate	arate	PROPN
ma-354	54	10	µ	µ	NUM
ma-354	54	11	due	due	ADP
ma-354	54	12	to	to	ADP
ma-354	54	13	natural	natural	ADJ
ma-354	54	14	death	death	NOUN
ma-354	54	15	.	.	PUNCT
ma-354	55	1	the	the	DET
ma-354	55	2	model	model	NOUN
ma-354	55	3	assumes	assume	VERB
ma-354	55	4	that	that	SCONJ
ma-354	55	5	there	there	PRON
ma-354	55	6	is	be	VERB
ma-354	55	7	no	no	DET
ma-354	55	8	examination	examination	NOUN
ma-354	55	9	malpractice	malpractice	NOUN
ma-354	55	10	induceddeaths	induceddeath	NOUN
ma-354	55	11	.	.	PUNCT
ma-354	56	1	the	the	DET
ma-354	56	2	variables	variable	NOUN
ma-354	56	3	and	and	CCONJ
ma-354	56	4	parameters	parameter	NOUN
ma-354	56	5	used	use	VERB
ma-354	56	6	to	to	PART
ma-354	56	7	describe	describe	VERB
ma-354	56	8	the	the	DET
ma-354	56	9	model	model	NOUN
ma-354	56	10	are	be	AUX
ma-354	56	11	presented	present	VERB
ma-354	56	12	in	in	ADP
ma-354	56	13	table	table	NOUN
ma-354	56	14	2	2	NUM
ma-354	56	15	andtable	andtable	ADJ
ma-354	56	16	3	3	NUM
ma-354	56	17	respectively	respectively	ADV
ma-354	56	18	.	.	PUNCT
ma-354	57	1	table	table	NOUN
ma-354	57	2	2	2	NUM
ma-354	57	3	.	.	PUNCT
ma-354	57	4	model	model	PROPN
ma-354	57	5	state	state	PROPN
ma-354	57	6	variables	variables	PROPN
ma-354	57	7	definition	definition	NOUN
ma-354	57	8	symbol	symbol	NOUN
ma-354	57	9	definition	definition	NOUN
ma-354	57	10	n(t	n(t	PROPN
ma-354	57	11	)	)	PUNCT
ma-354	57	12	total	total	ADJ
ma-354	57	13	number	number	NOUN
ma-354	57	14	of	of	ADP
ma-354	57	15	candidates	candidate	NOUN
ma-354	57	16	sitting	sit	VERB
ma-354	57	17	for	for	ADP
ma-354	57	18	the	the	DET
ma-354	57	19	examination	examination	NOUN
ma-354	57	20	s(t	s(t	PROPN
ma-354	57	21	)	)	PUNCT
ma-354	57	22	number	number	NOUN
ma-354	57	23	of	of	ADP
ma-354	57	24	candidates	candidate	NOUN
ma-354	57	25	susceptible	susceptible	ADJ
ma-354	57	26	to	to	ADP
ma-354	57	27	examination	examination	NOUN
ma-354	57	28	malpractice	malpractice	NOUN
ma-354	57	29	m(t	m(t	NOUN
ma-354	57	30	)	)	PUNCT
ma-354	57	31	number	number	NOUN
ma-354	57	32	of	of	ADP
ma-354	57	33	candidates	candidate	NOUN
ma-354	57	34	who	who	PRON
ma-354	57	35	engage	engage	VERB
ma-354	57	36	in	in	ADP
ma-354	57	37	any	any	DET
ma-354	57	38	form	form	NOUN
ma-354	57	39	of	of	ADP
ma-354	57	40	irregularities	irregularity	NOUN
ma-354	57	41	c(t	c(t	NOUN
ma-354	57	42	)	)	PUNCT
ma-354	57	43	number	number	NOUN
ma-354	57	44	of	of	ADP
ma-354	57	45	candidates	candidate	NOUN
ma-354	57	46	who	who	PRON
ma-354	57	47	have	have	VERB
ma-354	57	48	their	their	PRON
ma-354	57	49	entire	entire	ADJ
ma-354	57	50	results	result	NOUN
ma-354	57	51	cancelled	cancel	VERB
ma-354	57	52	following	follow	VERB
ma-354	57	53	misconduct	misconduct	NOUN
ma-354	57	54	r(t	r(t	NOUN
ma-354	57	55	)	)	PUNCT
ma-354	57	56	number	number	NOUN
ma-354	57	57	of	of	ADP
ma-354	57	58	candidates	candidate	NOUN
ma-354	57	59	who	who	PRON
ma-354	57	60	recover	recover	VERB
ma-354	57	61	from	from	ADP
ma-354	57	62	malpractice	malpractice	PROPN
ma-354	57	63	h(t	h(t	PROPN
ma-354	57	64	)	)	PUNCT
ma-354	57	65	number	number	NOUN
ma-354	57	66	of	of	ADP
ma-354	57	67	law	law	NOUN
ma-354	57	68	abiding	abide	VERB
ma-354	57	69	/	/	SYM
ma-354	57	70	honest	honest	ADJ
ma-354	57	71	candidates	candidate	NOUN
ma-354	57	72	table	table	VERB
ma-354	57	73	3	3	NUM
ma-354	57	74	.	.	PUNCT
ma-354	57	75	model	model	NOUN
ma-354	57	76	parameter	parameter	PROPN
ma-354	57	77	description	description	NOUN
ma-354	57	78	symbol	symbol	NOUN
ma-354	57	79	description	description	NOUN
ma-354	57	80	λ	λ	PROPN
ma-354	57	81	candidates	candidate	NOUN
ma-354	57	82	recruitment	recruitment	NOUN
ma-354	57	83	rate	rate	NOUN
ma-354	57	84	50.0	50.0	NUM
ma-354	57	85	estimated	estimate	VERB
ma-354	57	86	µ	µ	X
ma-354	57	87	natural	natural	ADJ
ma-354	57	88	human	human	ADJ
ma-354	57	89	removal	removal	NOUN
ma-354	57	90	rate	rate	NOUN
ma-354	57	91	0.0005	0.0005	NUM
ma-354	57	92	assumed	assume	VERB
ma-354	57	93	β	β	X
ma-354	57	94	rate	rate	NOUN
ma-354	57	95	at	at	ADP
ma-354	57	96	which	which	PRON
ma-354	57	97	candidates	candidate	NOUN
ma-354	57	98	adhere	adhere	VERB
ma-354	57	99	to	to	ADP
ma-354	57	100	examination	examination	NOUN
ma-354	57	101	rules	rule	NOUN
ma-354	57	102	0.5	0.5	NUM
ma-354	57	103	assumed	assume	VERB
ma-354	57	104	θ	θ	PROPN
ma-354	57	105	rate	rate	NOUN
ma-354	57	106	at	at	ADP
ma-354	57	107	which	which	PRON
ma-354	57	108	candidates	candidate	NOUN
ma-354	57	109	engage	engage	VERB
ma-354	57	110	into	into	ADP
ma-354	57	111	irregularities	irregularity	NOUN
ma-354	57	112	0.0044	0.0044	NUM
ma-354	57	113	assumed	assume	VERB
ma-354	57	114	τ	τ	PROPN
ma-354	57	115	rate	rate	NOUN
ma-354	57	116	at	at	ADP
ma-354	57	117	which	which	PRON
ma-354	57	118	candidates	candidate	NOUN
ma-354	57	119	recover	recover	VERB
ma-354	57	120	from	from	ADP
ma-354	57	121	malpractice	malpractice	NOUN
ma-354	57	122	0.2	0.2	NUM
ma-354	57	123	assumed	assume	VERB
ma-354	57	124	δ	δ	PROPN
ma-354	57	125	rate	rate	NOUN
ma-354	57	126	at	at	ADP
ma-354	57	127	which	which	PRON
ma-354	57	128	candidate	candidate	NOUN
ma-354	57	129	entire	entire	ADJ
ma-354	57	130	results	result	NOUN
ma-354	57	131	are	be	AUX
ma-354	57	132	canceled	cancel	VERB
ma-354	57	133	0.15	0.15	NUM
ma-354	57	134	estimated	estimate	VERB
ma-354	57	135	α	α	NUM
ma-354	57	136	rate	rate	NOUN
ma-354	57	137	at	at	ADP
ma-354	57	138	which	which	PRON
ma-354	57	139	recovered	recover	VERB
ma-354	57	140	candidates	candidate	NOUN
ma-354	57	141	become	become	VERB
ma-354	57	142	honest	honest	ADJ
ma-354	57	143	0.3	0.3	NUM
ma-354	57	144	assumed	assume	VERB
ma-354	57	145	γ	γ	PROPN
ma-354	57	146	rate	rate	NOUN
ma-354	57	147	at	at	SCONJ
ma-354	57	148	which	which	DET
ma-354	57	149	honest	honest	ADJ
ma-354	57	150	candidate	candidate	NOUN
ma-354	57	151	revert	revert	VERB
ma-354	57	152	to	to	PART
ma-354	57	153	susceptible	susceptible	VERB
ma-354	57	154	0.9	0.9	NUM
ma-354	57	155	assumed	assume	VERB
ma-354	57	156	https://doi.org/10.28924/ada/ma.5.16	https://doi.org/10.28924/ada/ma.5.16	PROPN
ma-354	57	157	eur	eur	PROPN
ma-354	57	158	.	.	PUNCT
ma-354	58	1	j.	j.	PROPN
ma-354	58	2	math	math	PROPN
ma-354	58	3	.	.	PUNCT
ma-354	59	1	anal	anal	PROPN
ma-354	59	2	.	.	PUNCT
ma-354	60	1	10.28924	10.28924	NUM
ma-354	60	2	/	/	SYM
ma-354	60	3	ada	ada	PROPN
ma-354	60	4	/	/	SYM
ma-354	60	5	ma.5.16	ma.5.16	PROPN
ma-354	60	6	4	4	NUM
ma-354	60	7	figure	figure	NOUN
ma-354	60	8	1	1	NUM
ma-354	60	9	.	.	PUNCT
ma-354	60	10	flow	flow	VERB
ma-354	60	11	chart	chart	NOUN
ma-354	60	12	for	for	ADP
ma-354	60	13	examination	examination	NOUN
ma-354	60	14	malpractice	malpractice	NOUN
ma-354	60	15	from	from	ADP
ma-354	60	16	the	the	DET
ma-354	60	17	flow	flow	NOUN
ma-354	60	18	chart	chart	NOUN
ma-354	60	19	above	above	ADV
ma-354	60	20	,	,	PUNCT
ma-354	60	21	we	we	PRON
ma-354	60	22	obtain	obtain	VERB
ma-354	60	23	the	the	DET
ma-354	60	24	following	follow	VERB
ma-354	60	25	system	system	NOUN
ma-354	60	26	of	of	ADP
ma-354	60	27	differential	differential	ADJ
ma-354	61	1	equations:	equations:	ADJ
ma-354	61	2	ds	ds	NOUN
ma-354	61	3	dt	dt	NOUN
ma-354	61	4	=	=	SYM
ma-354	61	5	λ	λ	PROPN
ma-354	61	6	+	+	CCONJ
ma-354	61	7	γh	γh	ADP
ma-354	61	8	−	−	PROPN
ma-354	61	9	θsm	θsm	NOUN
ma-354	61	10	−	−	PROPN
ma-354	61	11	(	(	PUNCT
ma-354	61	12	β	β	NOUN
ma-354	61	13	+	+	NOUN
ma-354	61	14	µ)s	µ)s	NOUN
ma-354	61	15	dm	dm	X
ma-354	61	16	dt	dt	NOUN
ma-354	61	17	=	=	PROPN
ma-354	61	18	θsm	θsm	NOUN
ma-354	61	19	−	−	PROPN
ma-354	61	20	(	(	PUNCT
ma-354	61	21	τ	τ	X
ma-354	61	22	+	+	CCONJ
ma-354	61	23	δ	δ	PROPN
ma-354	61	24	+	+	X
ma-354	61	25	µ)m	µ)m	X
ma-354	61	26	dc	dc	PROPN
ma-354	61	27	dt	dt	PROPN
ma-354	62	1	=	=	PUNCT
ma-354	62	2	δm	δm	ADV
ma-354	62	3	−	−	PROPN
ma-354	62	4	µc	µc	INTJ
ma-354	62	5	dr	dr	PROPN
ma-354	62	6	dt	dt	PROPN
ma-354	63	1	=	=	PROPN
ma-354	63	2	τm	τm	PRON
ma-354	64	1	−	−	PROPN
ma-354	64	2	(	(	PUNCT
ma-354	64	3	α+	α+	NOUN
ma-354	64	4	µ)r	µ)r	NOUN
ma-354	64	5	dh	dh	NOUN
ma-354	64	6	dt	dt	NOUN
ma-354	64	7	=	=	PUNCT
ma-354	64	8	βs	βs	PROPN
ma-354	65	1	+	+	CCONJ
ma-354	65	2	αr	αr	NUM
ma-354	65	3	−	−	PROPN
ma-354	65	4	(	(	PUNCT
ma-354	65	5	γ	γ	X
ma-354	65	6	+	+	CCONJ
ma-354	65	7	µ)h	µ)h	ADJ
ma-354	65	8	(	(	PUNCT
ma-354	65	9	1	1	X
ma-354	65	10	)	)	PUNCT
ma-354	65	11	the	the	DET
ma-354	65	12	following	follow	VERB
ma-354	65	13	notation	notation	NOUN
ma-354	65	14	will	will	AUX
ma-354	65	15	be	be	AUX
ma-354	65	16	used	use	VERB
ma-354	65	17	in	in	ADP
ma-354	65	18	the	the	DET
ma-354	65	19	rest	rest	NOUN
ma-354	65	20	of	of	ADP
ma-354	65	21	the	the	DET
ma-354	65	22	study	study	NOUN
ma-354	65	23	:	:	PUNCT
ma-354	65	24	q0	q0	PROPN
ma-354	65	25	=	=	SYM
ma-354	65	26	(	(	PUNCT
ma-354	65	27	β	β	X
ma-354	65	28	+	+	X
ma-354	65	29	µ	µ	X
ma-354	65	30	)	)	PUNCT
ma-354	65	31	,	,	PUNCT
ma-354	65	32	q1	q1	PROPN
ma-354	65	33	=	=	PUNCT
ma-354	65	34	(	(	PUNCT
ma-354	65	35	τ	τ	X
ma-354	65	36	+	+	CCONJ
ma-354	65	37	δ	δ	PROPN
ma-354	65	38	+	+	X
ma-354	65	39	µ	µ	NUM
ma-354	65	40	)	)	PUNCT
ma-354	65	41	,	,	PUNCT
ma-354	65	42	q2	q2	NOUN
ma-354	65	43	=	=	SYM
ma-354	65	44	(	(	PUNCT
ma-354	65	45	α+	α+	X
ma-354	65	46	µ	µ	NUM
ma-354	65	47	)	)	PUNCT
ma-354	65	48	and	and	CCONJ
ma-354	65	49	q3	q3	NOUN
ma-354	65	50	=	=	SYM
ma-354	65	51	(	(	PUNCT
ma-354	65	52	γ	γ	X
ma-354	65	53	+	+	X
ma-354	65	54	µ	µ	NOUN
ma-354	65	55	)	)	PUNCT
ma-354	65	56	2.1	2.1	NUM
ma-354	65	57	.	.	PUNCT
ma-354	66	1	well	well	ADJ
ma-354	66	2	-	-	PUNCT
ma-354	66	3	posedness	posedness	NOUN
ma-354	66	4	of	of	ADP
ma-354	66	5	the	the	DET
ma-354	66	6	model	model	NOUN
ma-354	66	7	.	.	PUNCT
ma-354	67	1	under	under	ADP
ma-354	67	2	this	this	DET
ma-354	67	3	section	section	NOUN
ma-354	67	4	,	,	PUNCT
ma-354	67	5	we	we	PRON
ma-354	67	6	establish	establish	VERB
ma-354	67	7	that	that	SCONJ
ma-354	67	8	the	the	DET
ma-354	67	9	system	system	NOUN
ma-354	67	10	of	of	ADP
ma-354	67	11	differentialequations	differentialequation	NOUN
ma-354	67	12	representing	represent	VERB
ma-354	67	13	model	model	NOUN
ma-354	67	14	(	(	PUNCT
ma-354	67	15	1	1	X
ma-354	67	16	)	)	PUNCT
ma-354	67	17	admits	admit	VERB
ma-354	67	18	only	only	ADV
ma-354	67	19	non	non	ADJ
ma-354	67	20	-	-	ADJ
ma-354	67	21	negative	negative	ADJ
ma-354	67	22	solutions	solution	NOUN
ma-354	67	23	.	.	PUNCT
ma-354	68	1	furthermore	furthermore	ADV
ma-354	68	2	,	,	PUNCT
ma-354	68	3	the	the	DET
ma-354	68	4	set	set	NOUN
ma-354	68	5	overwhich	overwhich	NOUN
ma-354	68	6	the	the	DET
ma-354	68	7	model	model	NOUN
ma-354	68	8	system	system	NOUN
ma-354	68	9	of	of	ADP
ma-354	68	10	equations	equation	NOUN
ma-354	68	11	is	be	AUX
ma-354	68	12	contextually	contextually	ADV
ma-354	68	13	meaningful	meaningful	ADJ
ma-354	68	14	is	be	AUX
ma-354	68	15	also	also	ADV
ma-354	68	16	determined	determine	VERB
ma-354	68	17	.	.	PUNCT
ma-354	69	1	theorem	theorem	NOUN
ma-354	69	2	1	1	NUM
ma-354	69	3	.	.	PUNCT
ma-354	69	4	given	give	VERB
ma-354	69	5	the	the	DET
ma-354	69	6	non	non	ADJ
ma-354	69	7	-	-	ADJ
ma-354	69	8	negative	negative	ADJ
ma-354	69	9	initial	initial	ADJ
ma-354	69	10	value	value	NOUN
ma-354	69	11	set	set	NOUN
ma-354	69	12	:	:	PUNCT
ma-354	69	13	{	{	PUNCT
ma-354	69	14	s(0	s(0	PROPN
ma-354	69	15	)	)	PUNCT
ma-354	69	16	,	,	PUNCT
ma-354	69	17	m(0	m(0	PROPN
ma-354	69	18	)	)	PUNCT
ma-354	69	19	,	,	PUNCT
ma-354	69	20	c(0	c(0	PROPN
ma-354	69	21	)	)	PUNCT
ma-354	69	22	,	,	PUNCT
ma-354	69	23	r(0	r(0	PROPN
ma-354	69	24	)	)	PUNCT
ma-354	69	25	,	,	PUNCT
ma-354	69	26	h(0	h(0	PROPN
ma-354	69	27	)	)	PUNCT
ma-354	69	28	}	}	PUNCT
ma-354	69	29	of	of	ADP
ma-354	69	30	the	the	DET
ma-354	69	31	dynamical	dynamical	ADJ
ma-354	69	32	system	system	NOUN
ma-354	69	33	(	(	PUNCT
ma-354	69	34	1	1	NUM
ma-354	69	35	)	)	PUNCT
ma-354	69	36	,	,	PUNCT
ma-354	69	37	it	it	PRON
ma-354	69	38	follows	follow	VERB
ma-354	69	39	that	that	SCONJ
ma-354	69	40	the	the	DET
ma-354	69	41	solution	solution	NOUN
ma-354	69	42	set	set	VERB
ma-354	69	43	{	{	PUNCT
ma-354	69	44	s(t	s(t	PROPN
ma-354	69	45	)	)	PUNCT
ma-354	69	46	,	,	PUNCT
ma-354	69	47	m(t	m(t	NOUN
ma-354	69	48	)	)	PUNCT
ma-354	69	49	,	,	PUNCT
ma-354	69	50	c(t	c(t	PROPN
ma-354	69	51	)	)	PUNCT
ma-354	69	52	,	,	PUNCT
ma-354	69	53	r(t	r(t	NOUN
ma-354	69	54	)	)	PUNCT
ma-354	69	55	,	,	PUNCT
ma-354	69	56	h(t	h(t	PROPN
ma-354	69	57	)	)	PUNCT
ma-354	69	58	}	}	PUNCT
ma-354	69	59	is	be	AUX
ma-354	69	60	nonnegative	nonnegative	ADJ
ma-354	69	61	and	and	CCONJ
ma-354	69	62	bounded	bound	VERB
ma-354	69	63	∀	∀	PUNCT
ma-354	69	64	t	t	PROPN
ma-354	69	65	≥	≥	PROPN
ma-354	69	66	0	0	NUM
ma-354	69	67	.	.	PUNCT
ma-354	70	1	https://doi.org/10.28924/ada/ma.5.16	https://doi.org/10.28924/ada/ma.5.16	PROPN
ma-354	70	2	eur	eur	PROPN
ma-354	70	3	.	.	PUNCT
ma-354	71	1	j.	j.	PROPN
ma-354	71	2	math	math	PROPN
ma-354	71	3	.	.	PUNCT
ma-354	72	1	anal	anal	PROPN
ma-354	72	2	.	.	PUNCT
ma-354	73	1	10.28924	10.28924	NUM
ma-354	73	2	/	/	SYM
ma-354	73	3	ada	ada	PROPN
ma-354	73	4	/	/	SYM
ma-354	73	5	ma.5.16	ma.5.16	PROPN
ma-354	73	6	5	5	NUM
ma-354	73	7	proof	proof	NOUN
ma-354	73	8	.	.	PUNCT
ma-354	74	1	first	first	ADV
ma-354	74	2	,	,	PUNCT
ma-354	74	3	we	we	PRON
ma-354	74	4	consider	consider	VERB
ma-354	74	5	the	the	DET
ma-354	74	6	differential	differential	ADJ
ma-354	74	7	equation	equation	NOUN
ma-354	74	8	for	for	ADP
ma-354	74	9	the	the	DET
ma-354	74	10	susceptible	susceptible	ADJ
ma-354	74	11	sub	sub	NOUN
ma-354	74	12	-	-	ADJ
ma-354	74	13	class	class	NOUN
ma-354	74	14	:	:	PUNCT
ma-354	74	15	ds	ds	ADJ
ma-354	74	16	dt	dt	NOUN
ma-354	74	17	=	=	SYM
ma-354	74	18	λ	λ	PROPN
ma-354	74	19	+	+	X
ma-354	74	20	γh	γh	ADP
ma-354	74	21	−	−	PROPN
ma-354	74	22	(	(	PUNCT
ma-354	74	23	θm	θm	PROPN
ma-354	74	24	+	+	NUM
ma-354	74	25	q0)s	q0)s	ADJ
ma-354	74	26	=	=	NOUN
ma-354	74	27	⇒	⇒	X
ma-354	74	28	ds	ds	X
ma-354	74	29	dt	dt	X
ma-354	74	30	≥	≥	NOUN
ma-354	74	31	−(θm	−(θm	X
ma-354	75	1	+	+	NUM
ma-354	75	2	q0)s	q0)s	ADJ
ma-354	75	3	=	=	NOUN
ma-354	75	4	⇒	⇒	X
ma-354	75	5	∫	∫	PROPN
ma-354	75	6	1	1	NUM
ma-354	75	7	s	s	PART
ma-354	75	8	ds	ds	ADJ
ma-354	75	9	≥	≥	NOUN
ma-354	75	10	−	−	PROPN
ma-354	76	1	∫	∫	PROPN
ma-354	76	2	(	(	PUNCT
ma-354	76	3	θm	θm	PROPN
ma-354	76	4	+	+	NUM
ma-354	76	5	q0)dt	q0)dt	NOUN
ma-354	76	6	=	=	SYM
ma-354	76	7	⇒	⇒	NOUN
ma-354	76	8	s(t	s(t	PROPN
ma-354	76	9	)	)	PUNCT
ma-354	76	10	≥	≥	PART
ma-354	76	11	s(0)e−(qot+θ	s(0)e−(qot+θ	VERB
ma-354	76	12	∫	∫	PROPN
ma-354	76	13	t	t	PROPN
ma-354	76	14	0	0	NUM
ma-354	76	15	m(x)dx	m(x)dx	PROPN
ma-354	76	16	)	)	PUNCT
ma-354	76	17	≥	≥	NOUN
ma-354	76	18	0similarly	0similarly	ADV
ma-354	76	19	,	,	PUNCT
ma-354	76	20	the	the	DET
ma-354	76	21	following	follow	VERB
ma-354	76	22	results	result	NOUN
ma-354	76	23	can	can	AUX
ma-354	76	24	be	be	AUX
ma-354	76	25	obtained	obtain	VERB
ma-354	76	26	:	:	PUNCT
ma-354	76	27	m(t	m(t	NOUN
ma-354	76	28	)	)	PUNCT
ma-354	76	29	≥	≥	NOUN
ma-354	76	30	m(0)e−q1	m(0)e−q1	NOUN
ma-354	76	31	t	t	PROPN
ma-354	76	32	≥	≥	NOUN
ma-354	76	33	0	0	SYM
ma-354	76	34	c(t	c(t	PROPN
ma-354	76	35	)	)	PUNCT
ma-354	76	36	≥	≥	NOUN
ma-354	76	37	c(0)e−µt	c(0)e−µt	X
ma-354	76	38	≥	≥	PROPN
ma-354	76	39	0	0	NUM
ma-354	76	40	r(t	r(t	NOUN
ma-354	76	41	)	)	PUNCT
ma-354	76	42	≥	≥	NOUN
ma-354	76	43	r(0)e−q2	r(0)e−q2	NOUN
ma-354	76	44	t	t	PROPN
ma-354	76	45	≥	≥	NOUN
ma-354	76	46	0	0	NUM
ma-354	76	47	h(t	h(t	PROPN
ma-354	76	48	)	)	PUNCT
ma-354	76	49	≥	≥	NOUN
ma-354	76	50	h(0)e−q3	h(0)e−q3	X
ma-354	76	51	t	t	PROPN
ma-354	76	52	≥	≥	PROPN
ma-354	76	53	0	0	PUNCT
ma-354	77	1	therefore	therefore	ADV
ma-354	77	2	,	,	PUNCT
ma-354	77	3	for	for	ADP
ma-354	77	4	∀	∀	NOUN
ma-354	77	5	t	t	PROPN
ma-354	77	6	≥	≥	PROPN
ma-354	77	7	0	0	NUM
ma-354	77	8	,	,	PUNCT
ma-354	77	9	the	the	DET
ma-354	77	10	state	state	NOUN
ma-354	77	11	variables	variable	NOUN
ma-354	77	12	of	of	ADP
ma-354	77	13	the	the	DET
ma-354	77	14	model	model	NOUN
ma-354	77	15	have	have	VERB
ma-354	77	16	non	non	ADJ
ma-354	77	17	-	-	ADJ
ma-354	77	18	negative	negative	ADJ
ma-354	77	19	solutions	solution	NOUN
ma-354	77	20	.	.	PUNCT
ma-354	78	1	�	�	PROPN
ma-354	78	2	theorem	theorem	VERB
ma-354	78	3	2	2	NUM
ma-354	78	4	.	.	PUNCT
ma-354	79	1	the	the	DET
ma-354	79	2	feasible	feasible	ADJ
ma-354	79	3	positive	positive	ADJ
ma-354	79	4	invariant	invariant	ADJ
ma-354	79	5	region	region	NOUN
ma-354	79	6	in	in	ADP
ma-354	79	7	which	which	PRON
ma-354	79	8	the	the	DET
ma-354	79	9	solution	solution	NOUN
ma-354	79	10	set	set	VERB
ma-354	79	11	of	of	ADP
ma-354	79	12	the	the	DET
ma-354	79	13	model	model	NOUN
ma-354	79	14	system	system	NOUN
ma-354	79	15	of	of	ADP
ma-354	79	16	equations	equation	NOUN
ma-354	79	17	is	be	AUX
ma-354	79	18	meaningful	meaningful	ADJ
ma-354	79	19	is	be	AUX
ma-354	79	20	the	the	DET
ma-354	79	21	set	set	NOUN
ma-354	79	22	:	:	PUNCT
ma-354	79	23	d	d	X
ma-354	79	24	=	=	PRON
ma-354	79	25	{	{	PUNCT
ma-354	79	26	(	(	PUNCT
ma-354	79	27	s	s	X
ma-354	79	28	,	,	PUNCT
ma-354	79	29	m	m	PROPN
ma-354	79	30	,	,	PUNCT
ma-354	79	31	c	c	X
ma-354	79	32	,	,	PUNCT
ma-354	79	33	r	r	NOUN
ma-354	79	34	,	,	PUNCT
ma-354	79	35	h	h	NOUN
ma-354	79	36	)	)	PUNCT
ma-354	79	37	∈	∈	PROPN
ma-354	79	38	r5	r5	PROPN
ma-354	79	39	+	+	CCONJ
ma-354	79	40	:	:	PUNCT
ma-354	79	41	s	s	VERB
ma-354	79	42	+	+	NOUN
ma-354	79	43	m	m	VERB
ma-354	79	44	+	+	NOUN
ma-354	80	1	c	c	NOUN
ma-354	81	1	+	+	NOUN
ma-354	81	2	r	r	NOUN
ma-354	81	3	+	+	NOUN
ma-354	81	4	h	h	NOUN
ma-354	81	5	≤	≤	X
ma-354	81	6	λ	λ	PROPN
ma-354	81	7	µ	µ	X
ma-354	81	8	}	}	PUNCT
ma-354	81	9	(	(	PUNCT
ma-354	81	10	2	2	X
ma-354	81	11	)	)	PUNCT
ma-354	81	12	proof	proof	NOUN
ma-354	81	13	.	.	PUNCT
ma-354	82	1	the	the	DET
ma-354	82	2	total	total	ADJ
ma-354	82	3	population	population	NOUN
ma-354	82	4	n	n	CCONJ
ma-354	82	5	at	at	ADP
ma-354	82	6	any	any	DET
ma-354	82	7	given	give	VERB
ma-354	82	8	time	time	NOUN
ma-354	82	9	t	t	PROPN
ma-354	82	10	is	be	AUX
ma-354	82	11	:	:	PUNCT
ma-354	82	12	n	n	PROPN
ma-354	82	13	=	=	SYM
ma-354	82	14	s	s	PART
ma-354	82	15	+	+	NOUN
ma-354	82	16	m	m	VERB
ma-354	82	17	+	+	NOUN
ma-354	82	18	c	c	NOUN
ma-354	83	1	+	+	NOUN
ma-354	83	2	r	r	NOUN
ma-354	83	3	+	+	NOUN
ma-354	83	4	h	h	NOUN
ma-354	83	5	=	=	NOUN
ma-354	83	6	⇒	⇒	NOUN
ma-354	83	7	dn	dn	NOUN
ma-354	83	8	dt	dt	NOUN
ma-354	84	1	=	=	PUNCT
ma-354	84	2	ds	ds	ADJ
ma-354	84	3	dt	dt	NOUN
ma-354	85	1	+	+	CCONJ
ma-354	85	2	dm	dm	X
ma-354	85	3	dt	dt	X
ma-354	85	4	+	+	CCONJ
ma-354	85	5	dc	dc	PROPN
ma-354	85	6	dt	dt	X
ma-354	85	7	+	+	CCONJ
ma-354	85	8	dr	dr	PROPN
ma-354	85	9	dt	dt	PROPN
ma-354	86	1	+	+	CCONJ
ma-354	86	2	dh	dh	NOUN
ma-354	86	3	dt	dt	NOUN
ma-354	86	4	=	=	NOUN
ma-354	86	5	⇒	⇒	VERB
ma-354	86	6	dn	dn	NOUN
ma-354	86	7	dt	dt	NOUN
ma-354	87	1	=	=	PUNCT
ma-354	87	2	λ−	λ−	PROPN
ma-354	87	3	µn	µn	PROPN
ma-354	87	4	=	=	NOUN
ma-354	87	5	⇒	⇒	NOUN
ma-354	87	6	dn	dn	NOUN
ma-354	87	7	dt	dt	NOUN
ma-354	87	8	=	=	PUNCT
ma-354	87	9	−µ(n	−µ(n	PRON
ma-354	87	10	−	−	PROPN
ma-354	87	11	λ	λ	PROPN
ma-354	87	12	µ	µ	X
ma-354	87	13	)	)	PUNCT
ma-354	88	1	=	=	VERB
ma-354	88	2	⇒	⇒	NOUN
ma-354	88	3	dn	dn	NOUN
ma-354	88	4	n	n	ADV
ma-354	88	5	−	−	PROPN
ma-354	88	6	λ	λ	PROPN
ma-354	88	7	µ	µ	X
ma-354	88	8	=	=	X
ma-354	88	9	−µdt	−µdt	NOUN
ma-354	88	10	=	=	NOUN
ma-354	88	11	⇒	⇒	X
ma-354	88	12	∫	∫	PROPN
ma-354	88	13	dn	dn	PROPN
ma-354	88	14	n	n	PROPN
ma-354	88	15	−	−	PROPN
ma-354	88	16	λ	λ	PROPN
ma-354	88	17	µ	µ	X
ma-354	88	18	=	=	SYM
ma-354	88	19	−	−	PROPN
ma-354	88	20	∫	∫	NOUN
ma-354	88	21	µdt	µdt	NOUN
ma-354	88	22	=	=	AUX
ma-354	88	23	⇒	⇒	VERB
ma-354	88	24	n	n	CCONJ
ma-354	88	25	−	−	PROPN
ma-354	88	26	λ	λ	X
ma-354	88	27	µ	µ	X
ma-354	88	28	=	=	SYM
ma-354	88	29	0	0	PUNCT
ma-354	88	30	as	as	ADP
ma-354	88	31	t	t	PROPN
ma-354	88	32	→	→	SYM
ma-354	88	33	+	+	NUM
ma-354	88	34	∞	∞	PROPN
ma-354	88	35	thus	thus	ADV
ma-354	88	36	,	,	PUNCT
ma-354	88	37	we	we	PRON
ma-354	88	38	deduce	deduce	VERB
ma-354	88	39	that	that	SCONJ
ma-354	88	40	n	n	NOUN
ma-354	88	41	≤	≤	X
ma-354	88	42	λ	λ	PROPN
ma-354	88	43	µ	µ	X
ma-354	88	44	(	(	PUNCT
ma-354	88	45	3	3	NUM
ma-354	88	46	)	)	PUNCT
ma-354	88	47	https://doi.org/10.28924/ada/ma.5.16	https://doi.org/10.28924/ada/ma.5.16	PROPN
ma-354	88	48	eur	eur	PROPN
ma-354	88	49	.	.	PUNCT
ma-354	89	1	j.	j.	PROPN
ma-354	89	2	math	math	PROPN
ma-354	89	3	.	.	PUNCT
ma-354	90	1	anal	anal	PROPN
ma-354	90	2	.	.	PUNCT
ma-354	91	1	10.28924	10.28924	NUM
ma-354	91	2	/	/	SYM
ma-354	91	3	ada	ada	PROPN
ma-354	91	4	/	/	SYM
ma-354	91	5	ma.5.16	ma.5.16	PROPN
ma-354	92	1	6therefore	6therefore	NUM
ma-354	92	2	:	:	PUNCT
ma-354	92	3	d	d	X
ma-354	92	4	=	=	SYM
ma-354	92	5	{	{	PUNCT
ma-354	92	6	(	(	PUNCT
ma-354	92	7	s	s	X
ma-354	92	8	,	,	PUNCT
ma-354	92	9	m	m	PROPN
ma-354	92	10	,	,	PUNCT
ma-354	92	11	c	c	X
ma-354	92	12	,	,	PUNCT
ma-354	92	13	r	r	NOUN
ma-354	92	14	,	,	PUNCT
ma-354	92	15	h	h	NOUN
ma-354	92	16	)	)	PUNCT
ma-354	92	17	∈	∈	PROPN
ma-354	92	18	r5	r5	PROPN
ma-354	93	1	+	+	CCONJ
ma-354	93	2	:	:	PUNCT
ma-354	93	3	s	s	VERB
ma-354	93	4	+	+	NOUN
ma-354	93	5	m	m	VERB
ma-354	93	6	+	+	NOUN
ma-354	93	7	c	c	NOUN
ma-354	94	1	+	+	NOUN
ma-354	94	2	r	r	NOUN
ma-354	94	3	+	+	NOUN
ma-354	94	4	h	h	NOUN
ma-354	94	5	≤	≤	X
ma-354	94	6	λ	λ	PROPN
ma-354	94	7	µ	µ	X
ma-354	94	8	}	}	PUNCT
ma-354	94	9	(	(	PUNCT
ma-354	94	10	4	4	X
ma-354	94	11	)	)	PUNCT
ma-354	94	12	�	�	PROPN
ma-354	94	13	2.2	2.2	NUM
ma-354	94	14	.	.	PUNCT
ma-354	95	1	the	the	DET
ma-354	95	2	examination	examination	NOUN
ma-354	95	3	malpractice	malpractice	NOUN
ma-354	95	4	-	-	PUNCT
ma-354	95	5	free	free	ADJ
ma-354	95	6	equilibrium	equilibrium	NOUN
ma-354	95	7	(	(	PUNCT
ma-354	95	8	emfe	emfe	NOUN
ma-354	95	9	)	)	PUNCT
ma-354	95	10	.	.	PUNCT
ma-354	96	1	equating	equate	VERB
ma-354	96	2	the	the	DET
ma-354	96	3	individual	individual	ADJ
ma-354	96	4	equationsof	equationsof	NOUN
ma-354	96	5	system	system	NOUN
ma-354	96	6	(	(	PUNCT
ma-354	96	7	1	1	NUM
ma-354	96	8	)	)	PUNCT
ma-354	96	9	to	to	ADP
ma-354	96	10	zero	zero	NUM
ma-354	96	11	with	with	ADP
ma-354	96	12	the	the	DET
ma-354	96	13	condition	condition	NOUN
ma-354	96	14	m	m	AUX
ma-354	96	15	=	=	SYM
ma-354	96	16	c	c	NOUN
ma-354	96	17	=	=	SYM
ma-354	96	18	r	r	NOUN
ma-354	96	19	=	=	SYM
ma-354	96	20	0	0	NUM
ma-354	96	21	,	,	PUNCT
ma-354	96	22	we	we	PRON
ma-354	96	23	obtain	obtain	VERB
ma-354	96	24	the	the	DET
ma-354	96	25	emfe	emfe	NOUN
ma-354	96	26	(	(	PUNCT
ma-354	96	27	ξ∗	ξ∗	NOUN
ma-354	96	28	)	)	PUNCT
ma-354	96	29	given	give	VERB
ma-354	96	30	by	by	ADP
ma-354	96	31	ξ∗	ξ∗	PROPN
ma-354	96	32	=	=	SYM
ma-354	96	33	(	(	PUNCT
ma-354	96	34	s∗,m∗	s∗,m∗	PROPN
ma-354	96	35	,	,	PUNCT
ma-354	96	36	c∗	c∗	NOUN
ma-354	96	37	,	,	PUNCT
ma-354	96	38	r∗	r∗	PROPN
ma-354	96	39	,	,	PUNCT
ma-354	96	40	h∗	h∗	PROPN
ma-354	96	41	)	)	PUNCT
ma-354	97	1	=	=	PRON
ma-354	97	2	(	(	PUNCT
ma-354	97	3	λq3	λq3	X
ma-354	97	4	q0q3−βγ	q0q3−βγ	PROPN
ma-354	97	5	,	,	PUNCT
ma-354	97	6	0	0	NUM
ma-354	97	7	,	,	PUNCT
ma-354	97	8	0	0	NUM
ma-354	97	9	,	,	PUNCT
ma-354	97	10	0	0	NUM
ma-354	97	11	,	,	PUNCT
ma-354	97	12	βλ	βλ	X
ma-354	97	13	q0q3−βγ	q0q3−βγ	PROPN
ma-354	97	14	)	)	PUNCT
ma-354	97	15	2.2.1	2.2.1	NUM
ma-354	97	16	.	.	PUNCT
ma-354	98	1	the	the	DET
ma-354	98	2	basic	basic	ADJ
ma-354	98	3	reproductive	reproductive	ADJ
ma-354	98	4	number	number	NOUN
ma-354	98	5	(	(	PUNCT
ma-354	98	6	r0	r0	NOUN
ma-354	98	7	)	)	PUNCT
ma-354	98	8	of	of	ADP
ma-354	98	9	examination	examination	NOUN
ma-354	98	10	malpractice	malpractice	NOUN
ma-354	98	11	.	.	PUNCT
ma-354	99	1	in	in	ADP
ma-354	99	2	this	this	DET
ma-354	99	3	context	context	NOUN
ma-354	99	4	,	,	PUNCT
ma-354	99	5	the	the	DET
ma-354	99	6	basicreproductive	basicreproductive	ADJ
ma-354	99	7	number	number	NOUN
ma-354	99	8	defines	define	VERB
ma-354	99	9	the	the	DET
ma-354	99	10	average	average	ADJ
ma-354	99	11	number	number	NOUN
ma-354	99	12	of	of	ADP
ma-354	99	13	secondary	secondary	ADJ
ma-354	99	14	candidates	candidate	NOUN
ma-354	99	15	that	that	PRON
ma-354	99	16	will	will	AUX
ma-354	99	17	be	be	AUX
ma-354	99	18	influencedby	influencedby	ADJ
ma-354	99	19	just	just	ADV
ma-354	99	20	one	one	NUM
ma-354	99	21	candidate	candidate	NOUN
ma-354	99	22	who	who	PRON
ma-354	99	23	engages	engage	VERB
ma-354	99	24	into	into	ADP
ma-354	99	25	examination	examination	NOUN
ma-354	99	26	malpractice	malpractice	NOUN
ma-354	99	27	.	.	PUNCT
ma-354	100	1	the	the	DET
ma-354	100	2	method	method	NOUN
ma-354	100	3	of	of	ADP
ma-354	100	4	next	next	ADJ
ma-354	100	5	generatingmatrix	generatingmatrix	NOUN
ma-354	100	6	which	which	PRON
ma-354	100	7	is	be	AUX
ma-354	100	8	mostly	mostly	ADV
ma-354	100	9	used	use	VERB
ma-354	100	10	is	be	AUX
ma-354	100	11	also	also	ADV
ma-354	100	12	adopted	adopt	VERB
ma-354	100	13	to	to	PART
ma-354	100	14	compute	compute	VERB
ma-354	100	15	the	the	DET
ma-354	100	16	model	model	NOUN
ma-354	100	17	r0	r0	NOUN
ma-354	100	18	.	.	PUNCT
ma-354	101	1	to	to	PART
ma-354	101	2	achieve	achieve	VERB
ma-354	101	3	this	this	PRON
ma-354	101	4	,	,	PUNCT
ma-354	101	5	we	we	PRON
ma-354	101	6	expressedthe	expressedthe	PRON
ma-354	101	7	malpractice	malpractice	VERB
ma-354	101	8	sub	sub	NOUN
ma-354	101	9	-	-	NOUN
ma-354	101	10	system	system	NOUN
ma-354	101	11	of	of	ADP
ma-354	101	12	model	model	NOUN
ma-354	101	13	(	(	PUNCT
ma-354	101	14	1	1	NUM
ma-354	101	15	)	)	PUNCT
ma-354	101	16	in	in	ADP
ma-354	101	17	the	the	DET
ma-354	101	18	form	form	NOUN
ma-354	101	19	dx	dx	PROPN
ma-354	101	20	dt	dt	NOUN
ma-354	102	1	=	=	PUNCT
ma-354	102	2	(	(	PUNCT
ma-354	102	3	f	f	X
ma-354	102	4	−	−	PROPN
ma-354	102	5	v)xt	v)xt	PROPN
ma-354	102	6	where	where	SCONJ
ma-354	102	7	xt	xt	PROPN
ma-354	102	8	is	be	AUX
ma-354	102	9	the	the	DET
ma-354	102	10	transposeof	transposeof	NOUN
ma-354	102	11	x	x	PUNCT
ma-354	102	12	=	=	SYM
ma-354	102	13	(	(	PUNCT
ma-354	102	14	m	m	PROPN
ma-354	102	15	,	,	PUNCT
ma-354	102	16	c	c	NOUN
ma-354	102	17	)	)	PUNCT
ma-354	102	18	,	,	PUNCT
ma-354	102	19	f	f	PROPN
ma-354	102	20	and	and	CCONJ
ma-354	102	21	v	v	NOUN
ma-354	102	22	are	be	AUX
ma-354	102	23	the	the	DET
ma-354	102	24	rates	rate	NOUN
ma-354	102	25	of	of	ADP
ma-354	102	26	generation	generation	NOUN
ma-354	102	27	of	of	ADP
ma-354	102	28	new	new	ADJ
ma-354	102	29	misconducting	misconduct	VERB
ma-354	102	30	candidates	candidate	NOUN
ma-354	102	31	and	and	CCONJ
ma-354	102	32	transferrespectively	transferrespectively	ADV
ma-354	102	33	.	.	PUNCT
ma-354	103	1	using	use	VERB
ma-354	103	2	this	this	DET
ma-354	103	3	malpractice	malpractice	NOUN
ma-354	103	4	/	/	SYM
ma-354	103	5	infected	infect	VERB
ma-354	103	6	sub	sub	NOUN
ma-354	103	7	-	-	NOUN
ma-354	103	8	system	system	NOUN
ma-354	103	9			NOUN
ma-354	103	10	dm	dm	NOUN
ma-354	103	11	dt	dt	NOUN
ma-354	103	12	=	=	NOUN
ma-354	103	13	θsm	θsm	PROPN
ma-354	103	14	−	−	PROPN
ma-354	103	15	q1	q1	PROPN
ma-354	103	16	m	m	NOUN
ma-354	103	17	dc	dc	PROPN
ma-354	103	18	dt	dt	NOUN
ma-354	104	1	=	=	PUNCT
ma-354	105	1	δm	δm	ADV
ma-354	105	2	−	−	PROPN
ma-354	105	3	µc	µc	INTJ
ma-354	105	4	(	(	PUNCT
ma-354	105	5	5	5	X
ma-354	105	6	)	)	PUNCT
ma-354	105	7	we	we	PRON
ma-354	105	8	have	have	VERB
ma-354	105	9	:	:	PUNCT
ma-354	105	10	f	f	PROPN
ma-354	105	11	=	=	PUNCT
ma-354	105	12	θsm	θsm	PROPN
ma-354	105	13	0	0	NUM
ma-354	105	14			NOUN
ma-354	105	15	and	and	CCONJ
ma-354	105	16	v	v	NOUN
ma-354	105	17	=	=	SYM
ma-354	105	18			PROPN
ma-354	105	19	q1	q1	PROPN
ma-354	105	20	m	m	VERB
ma-354	105	21	−δm	−δm	NOUN
ma-354	105	22	+	+	CCONJ
ma-354	105	23	µc	µc	INTJ
ma-354	105	24			NOUN
ma-354	105	25	(	(	PUNCT
ma-354	105	26	6	6	X
ma-354	105	27	)	)	PUNCT
ma-354	105	28	evaluating	evaluate	VERB
ma-354	105	29	the	the	DET
ma-354	105	30	jacobian	jacobian	ADJ
ma-354	105	31	matrices	matrix	NOUN
ma-354	105	32	f	f	PROPN
ma-354	105	33	and	and	CCONJ
ma-354	105	34	v	v	NOUN
ma-354	105	35	of	of	ADP
ma-354	105	36	f	f	PROPN
ma-354	105	37	and	and	CCONJ
ma-354	105	38	v	v	NOUN
ma-354	105	39	at	at	ADP
ma-354	105	40	the	the	DET
ma-354	105	41	dfe	dfe	PROPN
ma-354	105	42	gives	give	VERB
ma-354	105	43	respectively	respectively	ADV
ma-354	105	44	:	:	PUNCT
ma-354	105	45	f	f	X
ma-354	105	46	=	=	PUNCT
ma-354	105	47	θs	θ	NOUN
ma-354	105	48	∗	∗	NOUN
ma-354	105	49	0	0	NUM
ma-354	105	50	0	0	NUM
ma-354	105	51	0	0	NUM
ma-354	105	52			NOUN
ma-354	105	53	and	and	CCONJ
ma-354	105	54	v	v	NOUN
ma-354	105	55	=	=	SYM
ma-354	105	56	q1	q1	PROPN
ma-354	105	57	0	0	NUM
ma-354	105	58	−δ	−δ	PROPN
ma-354	105	59	µ	µ	X
ma-354	105	60			NOUN
ma-354	105	61	(	(	PUNCT
ma-354	105	62	7	7	X
ma-354	105	63	)	)	PUNCT
ma-354	105	64	using	use	VERB
ma-354	105	65	f	f	PROPN
ma-354	105	66	and	and	CCONJ
ma-354	105	67	v	v	X
ma-354	105	68	from	from	ADP
ma-354	105	69	(	(	PUNCT
ma-354	105	70	7	7	NUM
ma-354	105	71	)	)	PUNCT
ma-354	105	72	,	,	PUNCT
ma-354	105	73	we	we	PRON
ma-354	105	74	obtain	obtain	VERB
ma-354	105	75	fv	fv	NOUN
ma-354	105	76	−1	−1	NOUN
ma-354	105	77	given	give	VERB
ma-354	105	78	by	by	ADP
ma-354	105	79	:	:	PUNCT
ma-354	105	80	fv	fv	PROPN
ma-354	105	81	−1	−1	NOUN
ma-354	105	82	=	=	SYM
ma-354	105	83			PROPN
ma-354	105	84	θs∗	θs∗	NOUN
ma-354	105	85	q1	q1	NOUN
ma-354	105	86	0	0	NUM
ma-354	105	87	0	0	SYM
ma-354	105	88	0	0	NUM
ma-354	105	89			NOUN
ma-354	105	90	(	(	PUNCT
ma-354	105	91	8)	8)	NUM
ma-354	105	92	consequently	consequently	ADV
ma-354	105	93	,	,	PUNCT
ma-354	105	94	we	we	PRON
ma-354	105	95	obtain	obtain	VERB
ma-354	105	96	r0	r0	NOUN
ma-354	105	97	as	as	ADP
ma-354	105	98	the	the	DET
ma-354	105	99	spectral	spectral	ADJ
ma-354	105	100	radius	radius	NOUN
ma-354	105	101	of	of	ADP
ma-354	105	102	fv	fv	PROPN
ma-354	105	103	−1	−1	ADV
ma-354	105	104	given	give	VERB
ma-354	105	105	by	by	ADP
ma-354	105	106	:	:	PUNCT
ma-354	105	107	r0	r0	NOUN
ma-354	105	108	=	=	SYM
ma-354	105	109	λθq3	λθq3	PROPN
ma-354	105	110	q1(q0q3	q1(q0q3	NOUN
ma-354	105	111	−	−	PROPN
ma-354	105	112	βγ	βγ	NOUN
ma-354	105	113	)	)	PUNCT
ma-354	105	114	=	=	PUNCT
ma-354	106	1	λθ(γ	λθ(γ	X
ma-354	106	2	+	+	CCONJ
ma-354	106	3	µ	µ	X
ma-354	106	4	)	)	PUNCT
ma-354	106	5	µ(τ	µ(τ	PROPN
ma-354	106	6	+	+	CCONJ
ma-354	106	7	δ	δ	NOUN
ma-354	106	8	+	+	CCONJ
ma-354	106	9	µ)(β	µ)(β	NOUN
ma-354	106	10	+	+	CCONJ
ma-354	106	11	γ	γ	X
ma-354	106	12	+	+	X
ma-354	106	13	µ	µ	X
ma-354	106	14	)	)	PUNCT
ma-354	106	15	(	(	PUNCT
ma-354	106	16	9	9	NUM
ma-354	106	17	)	)	PUNCT
ma-354	106	18	2.3	2.3	NUM
ma-354	106	19	.	.	PUNCT
ma-354	107	1	stability	stability	NOUN
ma-354	107	2	analysis	analysis	NOUN
ma-354	107	3	of	of	ADP
ma-354	107	4	the	the	DET
ma-354	107	5	examination	examination	NOUN
ma-354	107	6	malpractice	malpractice	NOUN
ma-354	107	7	-	-	PUNCT
ma-354	107	8	free	free	ADJ
ma-354	107	9	equilibrium	equilibrium	NOUN
ma-354	107	10	.	.	PUNCT
ma-354	108	1	https://doi.org/10.28924/ada/ma.5.16	https://doi.org/10.28924/ada/ma.5.16	PROPN
ma-354	108	2	eur	eur	PROPN
ma-354	108	3	.	.	PUNCT
ma-354	109	1	j.	j.	PROPN
ma-354	109	2	math	math	PROPN
ma-354	109	3	.	.	PUNCT
ma-354	110	1	anal	anal	PROPN
ma-354	110	2	.	.	PUNCT
ma-354	111	1	10.28924	10.28924	NUM
ma-354	111	2	/	/	SYM
ma-354	111	3	ada	ada	PROPN
ma-354	111	4	/	/	SYM
ma-354	111	5	ma.5.16	ma.5.16	PROPN
ma-354	111	6	72.3.1	72.3.1	PROPN
ma-354	111	7	.	.	PUNCT
ma-354	112	1	local	local	ADJ
ma-354	112	2	stability	stability	NOUN
ma-354	112	3	.	.	PUNCT
ma-354	113	1	to	to	PART
ma-354	113	2	study	study	VERB
ma-354	113	3	the	the	DET
ma-354	113	4	local	local	ADJ
ma-354	113	5	stability	stability	NOUN
ma-354	113	6	of	of	ADP
ma-354	113	7	the	the	DET
ma-354	113	8	emfe	emfe	NOUN
ma-354	113	9	,	,	PUNCT
ma-354	113	10	we	we	PRON
ma-354	113	11	adopt	adopt	VERB
ma-354	113	12	the	the	DET
ma-354	113	13	linearization	linearization	NOUN
ma-354	113	14	ap	ap	PROPN
ma-354	113	15	-	-	PUNCT
ma-354	113	16	proach	proach	ADV
ma-354	113	17	.	.	PUNCT
ma-354	114	1	theorem	theorem	NOUN
ma-354	114	2	3	3	NUM
ma-354	114	3	.	.	PUNCT
ma-354	115	1	the	the	DET
ma-354	115	2	equilibrium	equilibrium	NOUN
ma-354	115	3	point	point	NOUN
ma-354	115	4	(	(	PUNCT
ma-354	115	5	ξ∗	ξ∗	NOUN
ma-354	115	6	=	=	SYM
ma-354	115	7	(	(	PUNCT
ma-354	115	8	λq3	λq3	X
ma-354	115	9	q0q3−βγ	q0q3−βγ	PROPN
ma-354	115	10	,	,	PUNCT
ma-354	115	11	0	0	NUM
ma-354	115	12	,	,	PUNCT
ma-354	115	13	0	0	NUM
ma-354	115	14	,	,	PUNCT
ma-354	115	15	0	0	NUM
ma-354	115	16	,	,	PUNCT
ma-354	115	17	βλ	βλ	X
ma-354	115	18	q0q3−βγ	q0q3−βγ	PROPN
ma-354	115	19	)	)	PUNCT
ma-354	115	20	)	)	PUNCT
ma-354	115	21	is	be	AUX
ma-354	115	22	locally	locally	ADV
ma-354	115	23	asymptotically	asymptotically	ADV
ma-354	115	24	stable	stable	ADJ
ma-354	115	25	(	(	PUNCT
ma-354	115	26	las	las	NOUN
ma-354	115	27	)	)	PUNCT
ma-354	115	28	if	if	SCONJ
ma-354	115	29	r0	r0	NOUN
ma-354	115	30	<	<	X
ma-354	115	31	1	1	NUM
ma-354	115	32	and	and	CCONJ
ma-354	115	33	unstable	unstable	ADJ
ma-354	115	34	if	if	SCONJ
ma-354	115	35	r0	r0	NOUN
ma-354	115	36	>	>	X
ma-354	115	37	1	1	NUM
ma-354	115	38	proof	proof	NOUN
ma-354	115	39	.	.	PUNCT
ma-354	116	1	let	let	VERB
ma-354	116	2	j0	j0	PROPN
ma-354	116	3	be	be	AUX
ma-354	116	4	the	the	DET
ma-354	116	5	jacobian	jacobian	ADJ
ma-354	116	6	matrix	matrix	NOUN
ma-354	116	7	of	of	ADP
ma-354	116	8	system	system	NOUN
ma-354	116	9	(	(	PUNCT
ma-354	116	10	1	1	X
ma-354	116	11	)	)	PUNCT
ma-354	116	12	evaluated	evaluate	VERB
ma-354	116	13	at	at	ADP
ma-354	116	14	ξ∗	ξ∗	NOUN
ma-354	116	15	,	,	PUNCT
ma-354	116	16	that	that	PRON
ma-354	116	17	is	be	AUX
ma-354	116	18	:	:	PUNCT
ma-354	116	19	j0	j0	NUM
ma-354	116	20	=	=	SYM
ma-354	116	21			NOUN
ma-354	116	22	−q0	−q0	VERB
ma-354	116	23	−θs∗	−θs∗	ADP
ma-354	116	24	0	0	NUM
ma-354	116	25	0	0	NUM
ma-354	116	26	γ	γ	X
ma-354	116	27	0	0	NUM
ma-354	116	28	θs∗	θs∗	NOUN
ma-354	116	29	−	−	PROPN
ma-354	116	30	q1	q1	NOUN
ma-354	116	31	0	0	NUM
ma-354	116	32	0	0	NUM
ma-354	116	33	0	0	NUM
ma-354	116	34	0	0	NUM
ma-354	116	35	δ	δ	NOUN
ma-354	116	36	−µ	−µ	NOUN
ma-354	116	37	0	0	NUM
ma-354	116	38	0	0	NUM
ma-354	116	39	0	0	NUM
ma-354	117	1	τ	τ	X
ma-354	117	2	0	0	NUM
ma-354	117	3	−q2	−q2	NOUN
ma-354	117	4	0	0	NUM
ma-354	117	5	β	β	NOUN
ma-354	117	6	0	0	NUM
ma-354	117	7	0	0	NUM
ma-354	118	1	α	α	NUM
ma-354	118	2	−q3	−q3	PROPN
ma-354	118	3			PROPN
ma-354	118	4	(	(	PUNCT
ma-354	118	5	10	10	NUM
ma-354	118	6	)	)	PUNCT
ma-354	118	7	clearly	clearly	ADV
ma-354	118	8	,	,	PUNCT
ma-354	118	9	the	the	DET
ma-354	118	10	matrix	matrix	NOUN
ma-354	118	11	in	in	ADP
ma-354	118	12	(	(	PUNCT
ma-354	118	13	10	10	NUM
ma-354	118	14	)	)	PUNCT
ma-354	118	15	admits	admit	VERB
ma-354	118	16	one	one	NUM
ma-354	118	17	negative	negative	ADJ
ma-354	118	18	eigenvalue	eigenvalue	NOUN
ma-354	118	19	,	,	PUNCT
ma-354	118	20	namely	namely	ADV
ma-354	118	21	λ1	λ1	VERB
ma-354	118	22	=	=	SYM
ma-354	118	23	−µ.	−µ.	ADV
ma-354	118	24	furthermore	furthermore	ADV
ma-354	118	25	,	,	PUNCT
ma-354	118	26	thenature	thenature	NOUN
ma-354	118	27	of	of	ADP
ma-354	118	28	the	the	DET
ma-354	118	29	remaining	remain	VERB
ma-354	118	30	eigenvalues	eigenvalue	NOUN
ma-354	118	31	of	of	ADP
ma-354	118	32	the	the	DET
ma-354	118	33	matrix	matrix	NOUN
ma-354	118	34	in	in	ADP
ma-354	118	35	(	(	PUNCT
ma-354	118	36	10	10	NUM
ma-354	118	37	)	)	PUNCT
ma-354	118	38	can	can	AUX
ma-354	118	39	be	be	AUX
ma-354	118	40	obtained	obtain	VERB
ma-354	118	41	from	from	ADP
ma-354	118	42	the	the	DET
ma-354	118	43	sub	sub	ADJ
ma-354	118	44	-	-	NOUN
ma-354	118	45	matrix	matrix	ADJ
ma-354	118	46	in(11	in(11	PROPN
ma-354	118	47	)	)	PUNCT
ma-354	118	48	below	below	ADP
ma-354	118	49	:	:	PUNCT
ma-354	118	50	j1	j1	PROPN
ma-354	118	51	=	=	PUNCT
ma-354	118	52			NOUN
ma-354	118	53	−q0	−q0	VERB
ma-354	118	54	−θs∗	−θs∗	ADP
ma-354	118	55	0	0	NUM
ma-354	118	56	γ	γ	X
ma-354	118	57	0	0	NUM
ma-354	118	58	θs∗	θs∗	NOUN
ma-354	118	59	−	−	PROPN
ma-354	118	60	q1	q1	NOUN
ma-354	118	61	0	0	NUM
ma-354	118	62	0	0	NUM
ma-354	118	63	0	0	NUM
ma-354	119	1	τ	τ	PROPN
ma-354	119	2	−q2	−q2	PROPN
ma-354	119	3	0	0	NUM
ma-354	119	4	β	β	NOUN
ma-354	119	5	0	0	NUM
ma-354	120	1	α	α	NOUN
ma-354	120	2	−q3	−q3	PROPN
ma-354	120	3			PROPN
ma-354	120	4	(	(	PUNCT
ma-354	120	5	11	11	NUM
ma-354	120	6	)	)	PUNCT
ma-354	120	7	according	accord	VERB
ma-354	120	8	to	to	ADP
ma-354	120	9	the	the	DET
ma-354	120	10	routh	routh	PROPN
ma-354	120	11	-	-	PUNCT
ma-354	120	12	hurwitz	hurwitz	PROPN
ma-354	120	13	stability	stability	NOUN
ma-354	120	14	theorem	theorem	VERB
ma-354	120	15	,	,	PUNCT
ma-354	120	16	matrix	matrix	NOUN
ma-354	120	17	in	in	ADP
ma-354	120	18	(	(	PUNCT
ma-354	120	19	11	11	NUM
ma-354	120	20	)	)	PUNCT
ma-354	120	21	will	will	AUX
ma-354	120	22	be	be	AUX
ma-354	120	23	stable	stable	ADJ
ma-354	120	24	if	if	SCONJ
ma-354	120	25	its	its	PRON
ma-354	120	26	trace	trace	NOUN
ma-354	120	27	anddeterminant	anddeterminant	ADJ
ma-354	120	28	are	be	AUX
ma-354	120	29	negative	negative	ADJ
ma-354	120	30	and	and	CCONJ
ma-354	120	31	positive	positive	ADJ
ma-354	120	32	respectively	respectively	ADV
ma-354	120	33	[	[	X
ma-354	120	34	12,13	12,13	NUM
ma-354	120	35	]	]	PUNCT
ma-354	120	36	.	.	PUNCT
ma-354	121	1	now	now	ADV
ma-354	121	2	:	:	PUNCT
ma-354	121	3	t	t	NOUN
ma-354	121	4	race(j1	race(j1	VERB
ma-354	121	5	)	)	PUNCT
ma-354	121	6	=	=	SYM
ma-354	122	1	−	−	PROPN
ma-354	122	2	(	(	PUNCT
ma-354	122	3	q0	q0	PROPN
ma-354	122	4	+	+	NUM
ma-354	122	5	q2	q2	NOUN
ma-354	122	6	+	+	CCONJ
ma-354	122	7	q3	q3	PROPN
ma-354	122	8	+	+	CCONJ
ma-354	122	9	q1(1−	q1(1−	ADJ
ma-354	122	10	r0	r0	NOUN
ma-354	122	11	)	)	PUNCT
ma-354	122	12	)	)	PUNCT
ma-354	123	1	<	<	X
ma-354	123	2	0	0	PUNCT
ma-354	124	1	if	if	SCONJ
ma-354	124	2	r0	r0	NOUN
ma-354	124	3	<	<	X
ma-354	124	4	1	1	NUM
ma-354	124	5	(	(	PUNCT
ma-354	124	6	12)and	12)and	NUM
ma-354	124	7	det(j1	det(j1	NOUN
ma-354	124	8	)	)	PUNCT
ma-354	124	9	=	=	PUNCT
ma-354	124	10	q1(q0q1q3	q1(q0q1q3	ADJ
ma-354	124	11	−	−	NOUN
ma-354	124	12	βγ)(1−	βγ)(1−	SYM
ma-354	124	13	r0	r0	NOUN
ma-354	124	14	)	)	PUNCT
ma-354	124	15	>	>	X
ma-354	124	16	0	0	PUNCT
ma-354	125	1	if	if	SCONJ
ma-354	125	2	r0	r0	NOUN
ma-354	125	3	<	<	X
ma-354	125	4	1	1	NUM
ma-354	125	5	(	(	PUNCT
ma-354	125	6	13)thus	13)thus	NUM
ma-354	125	7	,	,	PUNCT
ma-354	125	8	the	the	DET
ma-354	125	9	emfe	emfe	NOUN
ma-354	125	10	state	state	NOUN
ma-354	125	11	is	be	AUX
ma-354	125	12	locally	locally	ADV
ma-354	125	13	asymtotically	asymtotically	ADV
ma-354	125	14	stable	stable	ADJ
ma-354	125	15	whenever	whenever	SCONJ
ma-354	125	16	r0	r0	NOUN
ma-354	125	17	<	<	X
ma-354	125	18	1	1	NUM
ma-354	125	19	.	.	PUNCT
ma-354	125	20	�	�	PROPN
ma-354	125	21	next	next	ADV
ma-354	125	22	,	,	PUNCT
ma-354	125	23	we	we	PRON
ma-354	125	24	examine	examine	VERB
ma-354	125	25	the	the	DET
ma-354	125	26	global	global	ADJ
ma-354	125	27	stability	stability	NOUN
ma-354	125	28	of	of	ADP
ma-354	125	29	the	the	DET
ma-354	125	30	examination	examination	NOUN
ma-354	125	31	malpractice	malpractice	NOUN
ma-354	125	32	-	-	PUNCT
ma-354	125	33	free	free	ADJ
ma-354	125	34	state	state	NOUN
ma-354	125	35	.	.	PUNCT
ma-354	126	1	2.3.2	2.3.2	X
ma-354	126	2	.	.	PUNCT
ma-354	126	3	global	global	ADJ
ma-354	126	4	stability	stability	NOUN
ma-354	126	5	of	of	ADP
ma-354	126	6	the	the	DET
ma-354	126	7	examination	examination	NOUN
ma-354	126	8	malpractice	malpractice	NOUN
ma-354	126	9	-	-	PUNCT
ma-354	126	10	free	free	ADJ
ma-354	126	11	state	state	NOUN
ma-354	126	12	.	.	PUNCT
ma-354	127	1	to	to	PART
ma-354	127	2	establish	establish	VERB
ma-354	127	3	the	the	DET
ma-354	127	4	long	long	ADJ
ma-354	127	5	termstability	termstability	NOUN
ma-354	127	6	behavior	behavior	NOUN
ma-354	127	7	of	of	ADP
ma-354	127	8	the	the	DET
ma-354	127	9	examination	examination	NOUN
ma-354	127	10	malpractice	malpractice	NOUN
ma-354	127	11	-	-	PUNCT
ma-354	127	12	free	free	ADJ
ma-354	127	13	equilibrium	equilibrium	NOUN
ma-354	127	14	state	state	NOUN
ma-354	127	15	,	,	PUNCT
ma-354	127	16	we	we	PRON
ma-354	127	17	consider	consider	VERB
ma-354	127	18	the	the	DET
ma-354	127	19	followinglyapunov	followinglyapunov	NOUN
ma-354	127	20	function	function	NOUN
ma-354	127	21	:	:	PUNCT
ma-354	127	22	v	v	X
ma-354	127	23	(	(	PUNCT
ma-354	127	24	t	t	NOUN
ma-354	127	25	)	)	PUNCT
ma-354	127	26	=	=	SYM
ma-354	127	27	1	1	NUM
ma-354	127	28	q1	q1	NOUN
ma-354	127	29	m	m	VERB
ma-354	127	30	(	(	PUNCT
ma-354	127	31	14)differentiating	14)differentiate	VERB
ma-354	127	32	v(t	v(t	NUM
ma-354	127	33	)	)	PUNCT
ma-354	127	34	gives	give	VERB
ma-354	127	35	dv	dv	PROPN
ma-354	127	36	(	(	PUNCT
ma-354	127	37	t	t	PROPN
ma-354	127	38	)	)	PUNCT
ma-354	127	39	dt	dt	NOUN
ma-354	128	1	=	=	SYM
ma-354	128	2	1	1	NUM
ma-354	128	3	q1	q1	NOUN
ma-354	128	4	dm	dm	NOUN
ma-354	128	5	dt	dt	NOUN
ma-354	128	6	=	=	NOUN
ma-354	128	7	−	−	X
ma-354	128	8	(	(	PUNCT
ma-354	128	9	1−	1−	NUM
ma-354	128	10	r0)m	r0)m	NOUN
ma-354	128	11	(	(	PUNCT
ma-354	128	12	15	15	NUM
ma-354	128	13	)	)	PUNCT
ma-354	128	14	https://doi.org/10.28924/ada/ma.5.16	https://doi.org/10.28924/ada/ma.5.16	PROPN
ma-354	128	15	eur	eur	PROPN
ma-354	128	16	.	.	PUNCT
ma-354	129	1	j.	j.	PROPN
ma-354	129	2	math	math	PROPN
ma-354	129	3	.	.	PUNCT
ma-354	130	1	anal	anal	PROPN
ma-354	130	2	.	.	PUNCT
ma-354	131	1	10.28924	10.28924	NUM
ma-354	131	2	/	/	SYM
ma-354	131	3	ada	ada	PROPN
ma-354	131	4	/	/	SYM
ma-354	131	5	ma.5.16	ma.5.16	PROPN
ma-354	131	6	8	8	NUM
ma-354	131	7	it	it	PRON
ma-354	131	8	is	be	AUX
ma-354	131	9	clear	clear	ADJ
ma-354	131	10	from	from	ADP
ma-354	131	11	(	(	PUNCT
ma-354	131	12	15	15	NUM
ma-354	131	13	)	)	PUNCT
ma-354	131	14	that	that	SCONJ
ma-354	131	15	dv	dv	PROPN
ma-354	131	16	(	(	PUNCT
ma-354	131	17	t	t	PROPN
ma-354	131	18	)	)	PUNCT
ma-354	131	19	dt	dt	PROPN
ma-354	132	1	≤	≤	ADV
ma-354	132	2	0	0	PUNCT
ma-354	133	1	if	if	SCONJ
ma-354	133	2	r0	r0	VERB
ma-354	133	3	≤	≤	NOUN
ma-354	133	4	1	1	NUM
ma-354	133	5	.	.	PUNCT
ma-354	134	1	hence	hence	ADV
ma-354	134	2	,	,	PUNCT
ma-354	134	3	the	the	DET
ma-354	134	4	emfe	emfe	NOUN
ma-354	134	5	point	point	NOUN
ma-354	134	6	is	be	AUX
ma-354	134	7	globally	globally	ADV
ma-354	134	8	asymptoticallystable	asymptoticallystable	ADJ
ma-354	134	9	if	if	SCONJ
ma-354	134	10	r0	r0	NOUN
ma-354	134	11	≤	≤	NOUN
ma-354	134	12	1	1	NUM
ma-354	134	13	and	and	CCONJ
ma-354	134	14	unstable	unstable	ADJ
ma-354	134	15	otherwise	otherwise	ADV
ma-354	134	16	2.4	2.4	NUM
ma-354	134	17	.	.	PUNCT
ma-354	135	1	existence	existence	NOUN
ma-354	135	2	of	of	ADP
ma-354	135	3	examination	examination	NOUN
ma-354	135	4	malpractice	malpractice	NOUN
ma-354	135	5	endemic	endemic	ADJ
ma-354	135	6	equilibrium	equilibrium	NOUN
ma-354	135	7	point	point	NOUN
ma-354	135	8	(	(	PUNCT
ma-354	135	9	emeep	emeep	ADJ
ma-354	135	10	)	)	PUNCT
ma-354	135	11	.	.	PUNCT
ma-354	136	1	solving	solve	VERB
ma-354	136	2	system(1	system(1	NOUN
ma-354	136	3	)	)	PUNCT
ma-354	136	4	for	for	ADP
ma-354	136	5	the	the	DET
ma-354	136	6	state	state	NOUN
ma-354	136	7	variables	variable	NOUN
ma-354	136	8	at	at	ADP
ma-354	136	9	the	the	DET
ma-354	136	10	emeep	emeep	NOUN
ma-354	136	11	gives	give	VERB
ma-354	136	12	the	the	DET
ma-354	136	13	following	follow	VERB
ma-354	136	14	system	system	NOUN
ma-354	136	15	of	of	ADP
ma-354	136	16	solutions:	solutions:	NOUN
ma-354	136	17	s∗∗	s∗∗	X
ma-354	136	18	=	=	X
ma-354	136	19	λq2q3+αγτm∗∗	λq2q3+αγτm∗∗	X
ma-354	136	20	q2q3(θm∗∗+q2(q0q3−βγ	q2q3(θm∗∗+q2(q0q3−βγ	PROPN
ma-354	136	21	)	)	PUNCT
ma-354	136	22	m∗∗	m∗∗	X
ma-354	136	23	=	=	SYM
ma-354	136	24	q1q2(q0q3−βγ)(r0−1	q1q2(q0q3−βγ)(r0−1	PROPN
ma-354	136	25	)	)	PUNCT
ma-354	136	26	θ(q1q2q3−αγτ	θ(q1q2q3−αγτ	NOUN
ma-354	136	27	)	)	PUNCT
ma-354	136	28	c∗∗	c∗∗	VERB
ma-354	136	29	=	=	SYM
ma-354	136	30	δq1q2(q0q3−βγ)(r0−1	δq1q2(q0q3−βγ)(r0−1	X
ma-354	136	31	)	)	PUNCT
ma-354	136	32	θµ(q1q2q3−αγτ	θµ(q1q2q3−αγτ	NOUN
ma-354	136	33	)	)	PUNCT
ma-354	136	34	r∗∗	r∗∗	NOUN
ma-354	136	35	=	=	SYM
ma-354	136	36	τq1(q0q3−βγ)(r0−1	τq1(q0q3−βγ)(r0−1	NOUN
ma-354	136	37	)	)	PUNCT
ma-354	136	38	θ(q1q2q3−αγτ	θ(q1q2q3−αγτ	NOUN
ma-354	136	39	)	)	PUNCT
ma-354	136	40	h∗∗	h∗∗	PROPN
ma-354	137	1	=	=	SYM
ma-354	137	2	βλq2q3+αβγτm∗∗	βλq2q3+αβγτm∗∗	X
ma-354	137	3	q2q3(θq3m∗∗+(q0q3−βγ	q2q3(θq3m∗∗+(q0q3−βγ	PROPN
ma-354	137	4	)	)	PUNCT
ma-354	137	5	)	)	PUNCT
ma-354	138	1	+	+	CCONJ
ma-354	138	2	ατq1(q0q3−βγ)(r0−1	ατq1(q0q3−βγ)(r0−1	NOUN
ma-354	138	3	)	)	PUNCT
ma-354	138	4	θq3(q1q2q3−αγτ	θq3(q1q2q3−αγτ	NOUN
ma-354	138	5	)	)	PUNCT
ma-354	138	6	(	(	PUNCT
ma-354	138	7	16	16	NUM
ma-354	138	8	)	)	PUNCT
ma-354	138	9	it	it	PRON
ma-354	138	10	is	be	AUX
ma-354	138	11	clear	clear	ADJ
ma-354	138	12	from	from	ADP
ma-354	138	13	(	(	PUNCT
ma-354	138	14	16	16	NUM
ma-354	138	15	)	)	PUNCT
ma-354	138	16	,	,	PUNCT
ma-354	138	17	that	that	SCONJ
ma-354	138	18	s∗∗	s∗∗	PROPN
ma-354	138	19	,	,	PUNCT
ma-354	138	20	m∗∗	m∗∗	X
ma-354	138	21	,	,	PUNCT
ma-354	138	22	c∗∗	c∗∗	X
ma-354	138	23	,	,	PUNCT
ma-354	138	24	r∗∗	r∗∗	NOUN
ma-354	138	25	and	and	CCONJ
ma-354	138	26	h∗∗	h∗∗	PRON
ma-354	138	27	exist	exist	VERB
ma-354	138	28	if	if	SCONJ
ma-354	138	29	and	and	CCONJ
ma-354	138	30	only	only	ADV
ma-354	138	31	if	if	SCONJ
ma-354	138	32	r0	r0	NOUN
ma-354	138	33	>	>	X
ma-354	138	34	1	1	NUM
ma-354	138	35	,	,	PUNCT
ma-354	138	36	this	this	PRON
ma-354	138	37	gives	give	VERB
ma-354	138	38	thecondition	thecondition	NOUN
ma-354	138	39	for	for	ADP
ma-354	138	40	the	the	DET
ma-354	138	41	existence	existence	NOUN
ma-354	138	42	of	of	ADP
ma-354	138	43	the	the	DET
ma-354	138	44	emeep	emeep	NOUN
ma-354	138	45	.	.	PUNCT
ma-354	139	1	in	in	ADP
ma-354	139	2	what	what	PRON
ma-354	139	3	follows	follow	VERB
ma-354	139	4	,	,	PUNCT
ma-354	139	5	we	we	PRON
ma-354	139	6	examine	examine	VERB
ma-354	139	7	the	the	DET
ma-354	139	8	global	global	ADJ
ma-354	139	9	stability	stability	NOUN
ma-354	139	10	of	of	ADP
ma-354	139	11	thisendemic	thisendemic	ADJ
ma-354	139	12	equilibrium	equilibrium	NOUN
ma-354	139	13	point	point	NOUN
ma-354	139	14	using	use	VERB
ma-354	139	15	liapunov	liapunov	NOUN
ma-354	139	16	function	function	NOUN
ma-354	139	17	.	.	PUNCT
ma-354	140	1	2.4.1	2.4.1	X
ma-354	140	2	.	.	PUNCT
ma-354	140	3	global	global	ADJ
ma-354	140	4	stability	stability	NOUN
ma-354	140	5	of	of	ADP
ma-354	140	6	the	the	DET
ma-354	140	7	examination	examination	NOUN
ma-354	140	8	malpractice	malpractice	NOUN
ma-354	140	9	endemic	endemic	ADJ
ma-354	140	10	equilibrium	equilibrium	NOUN
ma-354	140	11	point	point	NOUN
ma-354	140	12	.	.	PUNCT
ma-354	141	1	theorem	theorem	ADJ
ma-354	141	2	4	4	NUM
ma-354	141	3	.	.	PUNCT
ma-354	142	1	the	the	DET
ma-354	142	2	model	model	NOUN
ma-354	142	3	represented	represent	VERB
ma-354	142	4	by	by	ADP
ma-354	142	5	system	system	NOUN
ma-354	142	6	(	(	PUNCT
ma-354	142	7	1	1	X
ma-354	142	8	)	)	PUNCT
ma-354	142	9	admits	admit	VERB
ma-354	142	10	a	a	DET
ma-354	142	11	globally	globally	ADV
ma-354	142	12	asymptotically	asymptotically	ADV
ma-354	142	13	stable	stable	ADJ
ma-354	142	14	nontrivial	nontrivial	ADJ
ma-354	142	15	endemic	endemic	ADJ
ma-354	142	16	equilibrium	equilibrium	NOUN
ma-354	142	17	(	(	PUNCT
ma-354	142	18	ξ∗∗	ξ∗∗	X
ma-354	142	19	)	)	PUNCT
ma-354	142	20	whenever	whenever	SCONJ
ma-354	142	21	r0	r0	NOUN
ma-354	142	22	>	>	X
ma-354	142	23	1	1	NUM
ma-354	142	24	proof	proof	NOUN
ma-354	142	25	.	.	PUNCT
ma-354	143	1	consider	consider	VERB
ma-354	143	2	a	a	DET
ma-354	143	3	positive	positive	ADJ
ma-354	143	4	definite	definite	ADJ
ma-354	143	5	function	function	NOUN
ma-354	143	6	l	l	NOUN
ma-354	143	7	defined	define	VERB
ma-354	143	8	by	by	ADP
ma-354	143	9	:	:	PUNCT
ma-354	143	10	l	l	NOUN
ma-354	143	11	(	(	PUNCT
ma-354	143	12	ξ∗∗	ξ∗∗	X
ma-354	143	13	)	)	PUNCT
ma-354	143	14	=	=	SYM
ma-354	143	15	(	(	PUNCT
ma-354	143	16	(	(	PUNCT
ma-354	143	17	s	s	VERB
ma-354	143	18	−	−	NOUN
ma-354	143	19	s∗∗)−	s∗∗)−	ADV
ma-354	143	20	s∗∗	s∗∗	PROPN
ma-354	143	21	ln	ln	PROPN
ma-354	143	22	s	s	X
ma-354	143	23	s∗∗	s∗∗	NOUN
ma-354	143	24	)	)	PUNCT
ma-354	144	1	+	+	CCONJ
ma-354	144	2	(	(	PUNCT
ma-354	144	3	(	(	PUNCT
ma-354	144	4	m	m	VERB
ma-354	144	5	−m∗∗)−m∗∗	−m∗∗)−m∗∗	X
ma-354	144	6	ln	ln	NOUN
ma-354	144	7	m	m	VERB
ma-354	144	8	m∗∗	m∗∗	X
ma-354	144	9	)	)	PUNCT
ma-354	145	1	+	+	CCONJ
ma-354	145	2	(	(	PUNCT
ma-354	145	3	(	(	PUNCT
ma-354	145	4	c	c	NOUN
ma-354	145	5	−	−	NOUN
ma-354	145	6	c∗∗)−	c∗∗)−	ADV
ma-354	145	7	c∗∗	c∗∗	VERB
ma-354	145	8	ln	ln	NOUN
ma-354	145	9	c	c	NOUN
ma-354	145	10	c∗∗	c∗∗	VERB
ma-354	145	11	)	)	PUNCT
ma-354	146	1	+	+	CCONJ
ma-354	146	2	(	(	PUNCT
ma-354	146	3	(	(	PUNCT
ma-354	146	4	r	r	NOUN
ma-354	146	5	−	−	NOUN
ma-354	146	6	r∗∗)−	r∗∗)−	ADV
ma-354	146	7	r∗∗	r∗∗	NOUN
ma-354	146	8	ln	ln	ADJ
ma-354	146	9	r	r	NOUN
ma-354	146	10	r∗∗	r∗∗	NOUN
ma-354	146	11	)	)	PUNCT
ma-354	147	1	+	+	CCONJ
ma-354	147	2	(	(	PUNCT
ma-354	147	3	(	(	PUNCT
ma-354	147	4	h	h	NOUN
ma-354	147	5	−h∗∗)−h∗∗	−h∗∗)−h∗∗	PROPN
ma-354	147	6	ln	ln	ADJ
ma-354	147	7	h	h	NOUN
ma-354	147	8	h∗∗	h∗∗	PROPN
ma-354	147	9	)	)	PUNCT
ma-354	147	10	taking	take	VERB
ma-354	147	11	the	the	DET
ma-354	147	12	time	time	NOUN
ma-354	147	13	derivative	derivative	ADJ
ma-354	147	14	of	of	ADP
ma-354	147	15	l	l	NOUN
ma-354	147	16	(	(	PUNCT
ma-354	147	17	ξ∗∗	ξ∗∗	X
ma-354	147	18	)	)	PUNCT
ma-354	147	19	gives	give	VERB
ma-354	147	20	:	:	PUNCT
ma-354	147	21	dl	dl	PROPN
ma-354	147	22	(	(	PUNCT
ma-354	147	23	ξ∗∗	ξ∗∗	X
ma-354	147	24	)	)	PUNCT
ma-354	147	25	dt	dt	NOUN
ma-354	148	1	=	=	PUNCT
ma-354	148	2	(	(	PUNCT
ma-354	148	3	1−	1−	NUM
ma-354	148	4	s∗∗	s∗∗	X
ma-354	148	5	s	s	PART
ma-354	148	6	)	)	PUNCT
ma-354	148	7	ds	ds	ADJ
ma-354	148	8	dt	dt	NOUN
ma-354	148	9	+	+	CCONJ
ma-354	148	10	(	(	PUNCT
ma-354	148	11	1−	1−	NUM
ma-354	148	12	m∗∗	m∗∗	NOUN
ma-354	148	13	m	m	PROPN
ma-354	148	14	)	)	PUNCT
ma-354	148	15	dm	dm	INTJ
ma-354	148	16	dt	dt	NOUN
ma-354	149	1	+	+	CCONJ
ma-354	149	2	(	(	PUNCT
ma-354	149	3	1−	1−	NUM
ma-354	149	4	c∗∗	c∗∗	VERB
ma-354	149	5	c	c	PROPN
ma-354	149	6	)	)	PUNCT
ma-354	149	7	dc	dc	PROPN
ma-354	150	1	dt	dt	X
ma-354	151	1	+	+	CCONJ
ma-354	151	2	(	(	PUNCT
ma-354	151	3	1−	1−	NUM
ma-354	151	4	r∗∗	r∗∗	NOUN
ma-354	151	5	r	r	NOUN
ma-354	151	6	)	)	PUNCT
ma-354	152	1	dr	dr	PROPN
ma-354	152	2	dt	dt	PROPN
ma-354	152	3	+	+	CCONJ
ma-354	152	4	(	(	PUNCT
ma-354	152	5	1−	1−	NUM
ma-354	152	6	h∗∗	h∗∗	PROPN
ma-354	152	7	h	h	NOUN
ma-354	152	8	)	)	PUNCT
ma-354	152	9	dh	dh	NOUN
ma-354	152	10	dt	dt	NOUN
ma-354	152	11	=	=	PUNCT
ma-354	152	12	(	(	PUNCT
ma-354	152	13	s	s	NOUN
ma-354	152	14	−	−	NOUN
ma-354	152	15	s∗∗	s∗∗	X
ma-354	152	16	s	s	PART
ma-354	152	17	)	)	PUNCT
ma-354	153	1	[	[	X
ma-354	153	2	λ	λ	X
ma-354	153	3	+	+	X
ma-354	153	4	γh	γh	ADP
ma-354	153	5	−	−	PROPN
ma-354	153	6	θsm	θsm	NOUN
ma-354	153	7	−	−	PROPN
ma-354	153	8	q0s	q0s	ADJ
ma-354	153	9	]	]	X
ma-354	154	1	+	+	CCONJ
ma-354	154	2	(	(	PUNCT
ma-354	154	3	m	m	VERB
ma-354	154	4	−m∗∗	−m∗∗	PROPN
ma-354	154	5	m	m	VERB
ma-354	154	6	)	)	PUNCT
ma-354	154	7	(	(	PUNCT
ma-354	154	8	θsm	θsm	NOUN
ma-354	154	9	−	−	PROPN
ma-354	154	10	q1	q1	PROPN
ma-354	154	11	m	m	NOUN
ma-354	154	12	)	)	PUNCT
ma-354	155	1	+	+	CCONJ
ma-354	155	2	(	(	PUNCT
ma-354	155	3	c	c	X
ma-354	155	4	−	−	PROPN
ma-354	155	5	c∗∗	c∗∗	VERB
ma-354	155	6	c	c	NOUN
ma-354	155	7	)	)	PUNCT
ma-354	155	8	(	(	PUNCT
ma-354	155	9	δm	δm	ADV
ma-354	155	10	−	−	PROPN
ma-354	155	11	µc	µc	ADP
ma-354	155	12	)	)	PUNCT
ma-354	155	13	+	+	CCONJ
ma-354	155	14	(	(	PUNCT
ma-354	155	15	r	r	NOUN
ma-354	155	16	−	−	NOUN
ma-354	155	17	r∗∗	r∗∗	NOUN
ma-354	155	18	r	r	NOUN
ma-354	155	19	)	)	PUNCT
ma-354	155	20	(	(	PUNCT
ma-354	155	21	τm	τm	ADV
ma-354	155	22	−	−	NOUN
ma-354	155	23	q2r	q2r	NOUN
ma-354	155	24	)	)	PUNCT
ma-354	155	25	+	+	CCONJ
ma-354	155	26	(	(	PUNCT
ma-354	155	27	h	h	PRON
ma-354	155	28	−h∗∗	−h∗∗	PUNCT
ma-354	155	29	h	h	NOUN
ma-354	155	30	)	)	PUNCT
ma-354	155	31	(	(	PUNCT
ma-354	155	32	βs	βs	X
ma-354	156	1	+	+	CCONJ
ma-354	156	2	αr	αr	NUM
ma-354	156	3	−	−	NOUN
ma-354	156	4	q3h	q3h	ADJ
ma-354	156	5	)	)	PUNCT
ma-354	156	6	https://doi.org/10.28924/ada/ma.5.16	https://doi.org/10.28924/ada/ma.5.16	PROPN
ma-354	156	7	eur	eur	PROPN
ma-354	156	8	.	.	PUNCT
ma-354	157	1	j.	j.	PROPN
ma-354	157	2	math	math	PROPN
ma-354	157	3	.	.	PUNCT
ma-354	158	1	anal	anal	PROPN
ma-354	158	2	.	.	PUNCT
ma-354	159	1	10.28924	10.28924	NUM
ma-354	159	2	/	/	SYM
ma-354	159	3	ada	ada	PROPN
ma-354	159	4	/	/	SYM
ma-354	159	5	ma.5.16	ma.5.16	PROPN
ma-354	159	6	9	9	NUM
ma-354	159	7	=	=	SYM
ma-354	159	8	λ	λ	X
ma-354	159	9	+	+	X
ma-354	159	10	γh	γh	PROPN
ma-354	159	11	+	+	CCONJ
ma-354	159	12	θms∗∗	θms∗∗	VERB
ma-354	159	13	+	+	CCONJ
ma-354	159	14	q0s	q0s	ADJ
ma-354	159	15	∗∗	∗∗	X
ma-354	159	16	−	−	ADP
ma-354	159	17	q0s	q0	VERB
ma-354	159	18	−	−	PROPN
ma-354	159	19	(	(	PUNCT
ma-354	159	20	λ	λ	X
ma-354	159	21	+	+	X
ma-354	159	22	γh	γh	ADJ
ma-354	159	23	)	)	PUNCT
ma-354	159	24	s∗∗	s∗∗	X
ma-354	159	25	s	s	PART
ma-354	160	1	+	+	NUM
ma-354	160	2	q1	q1	PROPN
ma-354	160	3	m	m	NOUN
ma-354	160	4	∗∗	∗∗	NOUN
ma-354	160	5	−	−	PROPN
ma-354	160	6	q1	q1	PROPN
ma-354	160	7	m	m	PROPN
ma-354	160	8	−	−	NUM
ma-354	160	9	θm∗∗s	θm∗∗s	PROPN
ma-354	160	10	+	+	PROPN
ma-354	160	11	δm	δm	PROPN
ma-354	160	12	+	+	NOUN
ma-354	160	13	µc∗∗	µc∗∗	VERB
ma-354	160	14	−	−	NOUN
ma-354	160	15	µc	µc	INTJ
ma-354	160	16	−	−	PROPN
ma-354	160	17	δm	δm	ADP
ma-354	160	18	c∗∗	c∗∗	VERB
ma-354	160	19	c	c	NOUN
ma-354	161	1	+	+	CCONJ
ma-354	161	2	τm	τm	PROPN
ma-354	162	1	+	+	CCONJ
ma-354	162	2	q2r	q2r	INTJ
ma-354	162	3	∗∗	∗∗	X
ma-354	162	4	−	−	NOUN
ma-354	163	1	q2r	q2r	INTJ
ma-354	163	2	−	−	NOUN
ma-354	163	3	τm	τm	ADP
ma-354	163	4	r∗∗	r∗∗	VERB
ma-354	163	5	r	r	NOUN
ma-354	163	6	+	+	NUM
ma-354	163	7	βs	βs	X
ma-354	164	1	+	+	CCONJ
ma-354	164	2	αr	αr	NUM
ma-354	164	3	+	+	CCONJ
ma-354	164	4	q3h	q3h	ADJ
ma-354	164	5	∗∗	∗∗	PROPN
ma-354	164	6	−	−	ADP
ma-354	164	7	q3h	q3h	ADJ
ma-354	164	8	−	−	PROPN
ma-354	164	9	(	(	PUNCT
ma-354	164	10	βs	β	NOUN
ma-354	164	11	+	+	CCONJ
ma-354	164	12	αr	αr	X
ma-354	164	13	)	)	PUNCT
ma-354	164	14	h∗∗	h∗∗	PROPN
ma-354	164	15	h	h	NOUN
ma-354	164	16	=	=	PUNCT
ma-354	164	17	l+	l+	PUNCT
ma-354	164	18	−	−	PROPN
ma-354	164	19	l−where	l−where	ADV
ma-354	164	20	l+	l+	X
ma-354	164	21	=	=	PUNCT
ma-354	164	22	λ	λ	X
ma-354	164	23	+	+	X
ma-354	164	24	γh	γh	PROPN
ma-354	164	25	+	+	CCONJ
ma-354	164	26	θms∗∗	θms∗∗	VERB
ma-354	164	27	+	+	CCONJ
ma-354	164	28	q0s	q0s	ADJ
ma-354	164	29	∗∗	∗∗	PROPN
ma-354	164	30	+	+	NUM
ma-354	164	31	q1	q1	PROPN
ma-354	164	32	m	m	NOUN
ma-354	164	33	∗∗	∗∗	NOUN
ma-354	165	1	+	+	CCONJ
ma-354	165	2	δm	δm	PROPN
ma-354	165	3	+	+	NOUN
ma-354	165	4	µc∗∗	µc∗∗	VERB
ma-354	166	1	+	+	CCONJ
ma-354	166	2	τm	τm	X
ma-354	166	3	+	+	ADJ
ma-354	166	4	q2r	q2r	X
ma-354	166	5	∗∗	∗∗	X
ma-354	167	1	+	+	CCONJ
ma-354	167	2	βs	βs	X
ma-354	168	1	+	+	CCONJ
ma-354	168	2	αr	αr	NUM
ma-354	168	3	+	+	CCONJ
ma-354	168	4	q3h	q3h	ADJ
ma-354	168	5	∗∗	∗∗	PROPN
ma-354	168	6	l−	l−	NOUN
ma-354	168	7	=	=	PUNCT
ma-354	168	8	q0s	q0	VERB
ma-354	168	9	+	+	CCONJ
ma-354	168	10	(	(	PUNCT
ma-354	168	11	λ	λ	X
ma-354	168	12	+	+	X
ma-354	168	13	γh	γh	ADJ
ma-354	168	14	)	)	PUNCT
ma-354	168	15	s∗∗	s∗∗	X
ma-354	168	16	s	s	PART
ma-354	168	17	+	+	NUM
ma-354	168	18	q1	q1	PROPN
ma-354	168	19	m	m	PROPN
ma-354	168	20	+	+	NUM
ma-354	168	21	θm∗∗s	θm∗∗s	NUM
ma-354	168	22	+	+	CCONJ
ma-354	168	23	µc	µc	VERB
ma-354	169	1	+	+	NOUN
ma-354	169	2	δm	δm	ADV
ma-354	169	3	c∗∗	c∗∗	VERB
ma-354	169	4	c	c	NOUN
ma-354	170	1	+	+	CCONJ
ma-354	170	2	q2r	q2r	INTJ
ma-354	171	1	+	+	CCONJ
ma-354	171	2	τm	τm	ADP
ma-354	171	3	r∗∗	r∗∗	VERB
ma-354	171	4	r	r	NOUN
ma-354	171	5	+	+	CCONJ
ma-354	171	6	q3h	q3h	ADJ
ma-354	171	7	+	+	CCONJ
ma-354	171	8	(	(	PUNCT
ma-354	171	9	βs	βs	X
ma-354	172	1	+	+	NUM
ma-354	172	2	αr	αr	X
ma-354	172	3	)	)	PUNCT
ma-354	172	4	h∗∗	h∗∗	PROPN
ma-354	172	5	h	h	NOUN
ma-354	172	6	(	(	PUNCT
ma-354	172	7	17	17	NUM
ma-354	172	8	)	)	PUNCT
ma-354	172	9	if	if	SCONJ
ma-354	172	10	we	we	PRON
ma-354	172	11	now	now	ADV
ma-354	172	12	assume	assume	VERB
ma-354	172	13	l+	l+	PUNCT
ma-354	172	14	≤	≤	ADV
ma-354	172	15	l−then	l−then	ADV
ma-354	172	16	,	,	PUNCT
ma-354	172	17	it	it	PRON
ma-354	172	18	follows	follow	VERB
ma-354	172	19	from	from	ADP
ma-354	172	20	(	(	PUNCT
ma-354	172	21	17	17	NUM
ma-354	172	22	)	)	PUNCT
ma-354	172	23	that	that	DET
ma-354	172	24	dl(ξ∗∗	dl(ξ∗∗	NOUN
ma-354	172	25	)	)	PUNCT
ma-354	172	26	dt	dt	NOUN
ma-354	173	1	≤	≤	NUM
ma-354	173	2	0	0	NUM
ma-354	173	3	with	with	ADP
ma-354	173	4	the	the	DET
ma-354	173	5	equality	equality	NOUN
ma-354	173	6	holding	hold	VERB
ma-354	173	7	if	if	SCONJ
ma-354	173	8	and	and	CCONJ
ma-354	173	9	only	only	ADV
ma-354	173	10	if	if	SCONJ
ma-354	173	11	s∗∗	s∗∗	ADJ
ma-354	173	12	=	=	SYM
ma-354	173	13	s	s	NOUN
ma-354	173	14	,	,	PUNCT
ma-354	173	15	m∗∗	m∗∗	X
ma-354	173	16	=	=	SYM
ma-354	173	17	m	m	NOUN
ma-354	173	18	,	,	PUNCT
ma-354	173	19	c∗∗	c∗∗	VERB
ma-354	173	20	=	=	SYM
ma-354	173	21	c	c	X
ma-354	173	22	,	,	PUNCT
ma-354	173	23	r∗∗	r∗∗	NOUN
ma-354	173	24	=	=	SYM
ma-354	173	25	r	r	NOUN
ma-354	173	26	and	and	CCONJ
ma-354	173	27	h∗∗	h∗∗	PROPN
ma-354	173	28	=	=	SYM
ma-354	173	29	htherefore	htherefore	NOUN
ma-354	173	30	,	,	PUNCT
ma-354	173	31	the	the	DET
ma-354	173	32	largest	large	ADJ
ma-354	173	33	compact	compact	ADJ
ma-354	173	34	invariant	invariant	ADJ
ma-354	173	35	set	set	NOUN
ma-354	173	36	within	within	ADP
ma-354	173	37	d	d	PROPN
ma-354	173	38	(	(	PUNCT
ma-354	173	39	the	the	DET
ma-354	173	40	model	model	NOUN
ma-354	173	41	’s	’s	PART
ma-354	173	42	invariant	invariant	ADJ
ma-354	173	43	region	region	NOUN
ma-354	173	44	)	)	PUNCT
ma-354	173	45	is	be	AUX
ma-354	173	46	the	the	DET
ma-354	173	47	single	single	ADJ
ma-354	173	48	-	-	PUNCT
ma-354	173	49	ton	ton	NOUN
ma-354	173	50	{	{	PUNCT
ma-354	173	51	ξ∗∗	ξ∗∗	NOUN
ma-354	173	52	}	}	PUNCT
ma-354	173	53	=	=	SYM
ma-354	173	54	{	{	PUNCT
ma-354	173	55	s∗∗	s∗∗	PROPN
ma-354	173	56	,	,	PUNCT
ma-354	173	57	m∗∗	m∗∗	X
ma-354	173	58	,	,	PUNCT
ma-354	173	59	c∗∗	c∗∗	NOUN
ma-354	173	60	,	,	PUNCT
ma-354	173	61	r∗∗	r∗∗	NOUN
ma-354	173	62	,	,	PUNCT
ma-354	173	63	h∗∗	h∗∗	X
ma-354	173	64	}	}	PUNCT
ma-354	173	65	.	.	PUNCT
ma-354	174	1	hence	hence	ADV
ma-354	174	2	,	,	PUNCT
ma-354	174	3	following	follow	VERB
ma-354	174	4	[	[	X
ma-354	174	5	14	14	NUM
ma-354	174	6	]	]	PUNCT
ma-354	174	7	,	,	PUNCT
ma-354	174	8	the	the	DET
ma-354	174	9	unique	unique	ADJ
ma-354	174	10	endemic	endemic	ADJ
ma-354	174	11	equilibriumof	equilibriumof	NOUN
ma-354	174	12	system	system	NOUN
ma-354	174	13	(	(	PUNCT
ma-354	174	14	1	1	X
ma-354	174	15	)	)	PUNCT
ma-354	174	16	is	be	AUX
ma-354	174	17	globally	globally	ADV
ma-354	174	18	asymptotically	asymptotically	ADV
ma-354	174	19	stable	stable	ADJ
ma-354	174	20	whenever	whenever	SCONJ
ma-354	174	21	it	it	PRON
ma-354	174	22	exists	exist	VERB
ma-354	174	23	.	.	PUNCT
ma-354	175	1	�	�	PROPN
ma-354	175	2	3	3	NUM
ma-354	175	3	.	.	PUNCT
ma-354	175	4	local	local	ADJ
ma-354	175	5	sensitivity	sensitivity	NOUN
ma-354	175	6	analysis	analysis	NOUN
ma-354	175	7	to	to	PART
ma-354	175	8	investigate	investigate	VERB
ma-354	175	9	the	the	DET
ma-354	175	10	contribution	contribution	NOUN
ma-354	175	11	of	of	ADP
ma-354	175	12	each	each	DET
ma-354	175	13	model	model	NOUN
ma-354	175	14	parameter	parameter	NOUN
ma-354	175	15	to	to	ADP
ma-354	175	16	the	the	DET
ma-354	175	17	occurrence	occurrence	NOUN
ma-354	175	18	of	of	ADP
ma-354	175	19	examination	examination	NOUN
ma-354	175	20	mal	mal	ADJ
ma-354	175	21	-	-	PUNCT
ma-354	175	22	practice	practice	NOUN
ma-354	175	23	,	,	PUNCT
ma-354	175	24	we	we	PRON
ma-354	175	25	calculated	calculate	VERB
ma-354	175	26	the	the	DET
ma-354	175	27	sensitivity	sensitivity	NOUN
ma-354	175	28	indices	index	NOUN
ma-354	175	29	of	of	ADP
ma-354	175	30	the	the	DET
ma-354	175	31	parameters	parameter	NOUN
ma-354	175	32	of	of	ADP
ma-354	175	33	the	the	DET
ma-354	175	34	basic	basic	ADJ
ma-354	175	35	examination	examination	NOUN
ma-354	175	36	malpracticereproductive	malpracticereproductive	ADJ
ma-354	175	37	number	number	NOUN
ma-354	175	38	using	use	VERB
ma-354	175	39	the	the	DET
ma-354	175	40	forward	forward	ADJ
ma-354	175	41	sensitivity	sensitivity	NOUN
ma-354	175	42	index	index	NOUN
ma-354	175	43	expression	expression	NOUN
ma-354	175	44	.	.	PUNCT
ma-354	176	1	the	the	DET
ma-354	176	2	output	output	NOUN
ma-354	176	3	is	be	AUX
ma-354	176	4	tabulated	tabulate	VERB
ma-354	176	5	in	in	ADP
ma-354	176	6	table4	table4	PROPN
ma-354	176	7	below	below	ADV
ma-354	176	8	.	.	PUNCT
ma-354	177	1	table	table	NOUN
ma-354	177	2	4	4	NUM
ma-354	177	3	.	.	PUNCT
ma-354	178	1	sensitivity	sensitivity	NOUN
ma-354	178	2	indices	index	NOUN
ma-354	178	3	of	of	ADP
ma-354	178	4	r0	r0	NOUN
ma-354	178	5	parameters	parameter	NOUN
ma-354	178	6	parameter	parameter	NOUN
ma-354	178	7	sensitivity	sensitivity	NOUN
ma-354	178	8	index	index	NOUN
ma-354	178	9	λ	λ	PROPN
ma-354	178	10	+1.00000	+1.00000	X
ma-354	179	1	θ	θ	X
ma-354	179	2	+1.00000	+1.00000	PUNCT
ma-354	180	1	β	β	X
ma-354	180	2	−0.35702	−0.35702	PROPN
ma-354	180	3	γ	γ	PROPN
ma-354	180	4	+0.35682	+0.35682	X
ma-354	180	5	τ	τ	PROPN
ma-354	180	6	−0.57061	−0.57061	PROPN
ma-354	180	7	δ	δ	PROPN
ma-354	180	8	−0.42796	−0.42796	X
ma-354	180	9	µ	µ	X
ma-354	180	10	−1.00123	−1.00123	PROPN
ma-354	180	11	https://doi.org/10.28924/ada/ma.5.16	https://doi.org/10.28924/ada/ma.5.16	PROPN
ma-354	180	12	eur	eur	PROPN
ma-354	180	13	.	.	PUNCT
ma-354	181	1	j.	j.	PROPN
ma-354	181	2	math	math	PROPN
ma-354	181	3	.	.	PUNCT
ma-354	182	1	anal	anal	PROPN
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ma-354	183	1	10.28924	10.28924	NUM
ma-354	183	2	/	/	SYM
ma-354	183	3	ada	ada	PROPN
ma-354	183	4	/	/	SYM
ma-354	183	5	ma.5.16	ma.5.16	PROPN
ma-354	183	6	104	104	NUM
ma-354	183	7	.	.	PUNCT
ma-354	184	1	numerical	numerical	ADJ
ma-354	184	2	simulations	simulation	NOUN
ma-354	184	3	to	to	PART
ma-354	184	4	examine	examine	VERB
ma-354	184	5	the	the	DET
ma-354	184	6	dynamical	dynamical	ADJ
ma-354	184	7	evolution	evolution	NOUN
ma-354	184	8	of	of	ADP
ma-354	184	9	the	the	DET
ma-354	184	10	model	model	NOUN
ma-354	184	11	sub	sub	NOUN
ma-354	184	12	-	-	NOUN
ma-354	184	13	classes	class	NOUN
ma-354	184	14	,	,	PUNCT
ma-354	184	15	we	we	PRON
ma-354	184	16	simulated	simulate	VERB
ma-354	184	17	the	the	DET
ma-354	184	18	proposed	propose	VERB
ma-354	184	19	modelsystem	modelsystem	NOUN
ma-354	184	20	of	of	ADP
ma-354	184	21	equations	equation	NOUN
ma-354	184	22	using	use	VERB
ma-354	184	23	matlab	matlab	PROPN
ma-354	184	24	ode45	ode45	PROPN
ma-354	184	25	.	.	PUNCT
ma-354	185	1	we	we	PRON
ma-354	185	2	used	use	VERB
ma-354	185	3	the	the	DET
ma-354	185	4	parameter	parameter	NOUN
ma-354	185	5	values	value	NOUN
ma-354	185	6	given	give	VERB
ma-354	185	7	in	in	ADP
ma-354	185	8	table	table	NOUN
ma-354	185	9	3	3	NUM
ma-354	185	10	with	with	ADP
ma-354	185	11	thefollowing	thefollowing	NOUN
ma-354	185	12	assumed	assume	VERB
ma-354	185	13	initial	initial	ADJ
ma-354	185	14	values	value	NOUN
ma-354	185	15	:	:	PUNCT
ma-354	185	16	s(0	s(0	PROPN
ma-354	185	17	)	)	PUNCT
ma-354	185	18	=	=	SYM
ma-354	185	19	120	120	NUM
ma-354	185	20	,	,	PUNCT
ma-354	185	21	m(0	m(0	NOUN
ma-354	185	22	)	)	PUNCT
ma-354	185	23	=	=	SYM
ma-354	185	24	25	25	NUM
ma-354	185	25	,	,	PUNCT
ma-354	185	26	c(0	c(0	NOUN
ma-354	185	27	)	)	PUNCT
ma-354	185	28	=	=	SYM
ma-354	185	29	5	5	NUM
ma-354	185	30	,	,	PUNCT
ma-354	185	31	r(0	r(0	PROPN
ma-354	185	32	)	)	PUNCT
ma-354	185	33	=	=	SYM
ma-354	185	34	5	5	NUM
ma-354	185	35	and	and	CCONJ
ma-354	185	36	h(0	h(0	PROPN
ma-354	185	37	)	)	PUNCT
ma-354	186	1	=	=	SYM
ma-354	186	2	15.the	15.the	PRON
ma-354	186	3	simulation	simulation	NOUN
ma-354	186	4	graphs	graph	NOUN
ma-354	186	5	are	be	AUX
ma-354	186	6	shown	show	VERB
ma-354	186	7	from	from	ADP
ma-354	186	8	figure	figure	NOUN
ma-354	186	9	2	2	NUM
ma-354	186	10	to	to	PART
ma-354	186	11	figure	figure	VERB
ma-354	186	12	7	7	NUM
ma-354	186	13	5	5	NUM
ma-354	186	14	.	.	PUNCT
ma-354	186	15	discussion	discussion	NOUN
ma-354	186	16	and	and	CCONJ
ma-354	186	17	conclusion	conclusion	NOUN
ma-354	186	18	a	a	DET
ma-354	186	19	five	five	NUM
ma-354	186	20	-	-	PUNCT
ma-354	186	21	compartmental	compartmental	NOUN
ma-354	186	22	model	model	NOUN
ma-354	186	23	is	be	AUX
ma-354	186	24	constructed	construct	VERB
ma-354	186	25	to	to	PART
ma-354	186	26	study	study	VERB
ma-354	186	27	the	the	DET
ma-354	186	28	phenomenon	phenomenon	NOUN
ma-354	186	29	of	of	ADP
ma-354	186	30	examination	examination	NOUN
ma-354	186	31	malpracticeat	malpracticeat	NOUN
ma-354	186	32	the	the	DET
ma-354	186	33	west	west	ADJ
ma-354	186	34	african	african	ADJ
ma-354	186	35	senior	senior	ADJ
ma-354	186	36	school	school	NOUN
ma-354	186	37	certificate	certificate	NOUN
ma-354	186	38	examination	examination	NOUN
ma-354	186	39	(	(	PUNCT
ma-354	186	40	wassce	wassce	ADJ
ma-354	186	41	)	)	PUNCT
ma-354	186	42	level	level	NOUN
ma-354	186	43	in	in	ADP
ma-354	186	44	ghana	ghana	PROPN
ma-354	186	45	.	.	PUNCT
ma-354	187	1	the	the	DET
ma-354	187	2	well	well	ADV
ma-354	187	3	-	-	PUNCT
ma-354	187	4	posedness	posedness	NOUN
ma-354	187	5	of	of	ADP
ma-354	187	6	the	the	DET
ma-354	187	7	model	model	NOUN
ma-354	187	8	is	be	AUX
ma-354	187	9	established	establish	VERB
ma-354	187	10	.	.	PUNCT
ma-354	188	1	the	the	DET
ma-354	188	2	examination	examination	NOUN
ma-354	188	3	malpractice	malpractice	PROPN
ma-354	188	4	free	free	ADJ
ma-354	188	5	equilibrium	equilibrium	NOUN
ma-354	188	6	is	be	AUX
ma-354	188	7	shownto	shownto	NOUN
ma-354	188	8	possess	possess	VERB
ma-354	188	9	both	both	CCONJ
ma-354	188	10	a	a	DET
ma-354	188	11	local	local	ADJ
ma-354	188	12	and	and	CCONJ
ma-354	188	13	global	global	ADJ
ma-354	188	14	asymptotic	asymptotic	ADJ
ma-354	188	15	stability	stability	NOUN
ma-354	188	16	whenever	whenever	SCONJ
ma-354	188	17	the	the	DET
ma-354	188	18	examination	examination	NOUN
ma-354	188	19	malpracticereproductive	malpracticereproductive	ADJ
ma-354	188	20	number	number	NOUN
ma-354	188	21	(	(	PUNCT
ma-354	188	22	r0	r0	NOUN
ma-354	188	23	)	)	PUNCT
ma-354	188	24	is	be	AUX
ma-354	188	25	less	less	ADJ
ma-354	188	26	than	than	ADP
ma-354	188	27	one	one	NUM
ma-354	188	28	.	.	PUNCT
ma-354	189	1	furthermore	furthermore	ADV
ma-354	189	2	,	,	PUNCT
ma-354	189	3	the	the	DET
ma-354	189	4	examination	examination	NOUN
ma-354	189	5	malpractice	malpractice	NOUN
ma-354	189	6	persistentequilibrium	persistentequilibrium	NOUN
ma-354	189	7	is	be	AUX
ma-354	189	8	derived	derive	VERB
ma-354	189	9	and	and	CCONJ
ma-354	189	10	shown	show	VERB
ma-354	189	11	to	to	PART
ma-354	189	12	be	be	AUX
ma-354	189	13	globally	globally	ADV
ma-354	189	14	stable	stable	ADJ
ma-354	189	15	if	if	SCONJ
ma-354	189	16	r0	r0	NOUN
ma-354	189	17	>	>	X
ma-354	189	18	1	1	X
ma-354	189	19	.	.	PUNCT
ma-354	190	1	we	we	PRON
ma-354	190	2	carried	carry	VERB
ma-354	190	3	out	out	ADP
ma-354	190	4	local	local	ADJ
ma-354	190	5	sensitivityanalysis	sensitivityanalysis	NOUN
ma-354	190	6	on	on	ADP
ma-354	190	7	the	the	DET
ma-354	190	8	parameters	parameter	NOUN
ma-354	190	9	of	of	ADP
ma-354	190	10	r0	r0	NOUN
ma-354	190	11	and	and	CCONJ
ma-354	190	12	established	establish	VERB
ma-354	190	13	that	that	SCONJ
ma-354	190	14	candidates	candidate	NOUN
ma-354	190	15	recruitment	recruitment	NOUN
ma-354	190	16	rate	rate	NOUN
ma-354	190	17	(	(	PUNCT
ma-354	190	18	λ	λ	NOUN
ma-354	190	19	)	)	PUNCT
ma-354	190	20	,	,	PUNCT
ma-354	190	21	the	the	DET
ma-354	190	22	rateat	rateat	NOUN
ma-354	190	23	which	which	PRON
ma-354	190	24	candidates	candidate	NOUN
ma-354	190	25	engage	engage	VERB
ma-354	190	26	into	into	ADP
ma-354	190	27	irregularities	irregularity	NOUN
ma-354	190	28	(	(	PUNCT
ma-354	190	29	θ	θ	NOUN
ma-354	190	30	)	)	PUNCT
ma-354	190	31	and	and	CCONJ
ma-354	190	32	the	the	DET
ma-354	190	33	susceptibility	susceptibility	NOUN
ma-354	190	34	rate	rate	NOUN
ma-354	190	35	(	(	PUNCT
ma-354	190	36	γ	γ	NOUN
ma-354	190	37	)	)	PUNCT
ma-354	190	38	of	of	ADP
ma-354	190	39	honest	honest	ADJ
ma-354	190	40	orlaw	orlaw	ADJ
ma-354	190	41	abiding	abide	VERB
ma-354	190	42	candidates	candidate	NOUN
ma-354	190	43	have	have	VERB
ma-354	190	44	positive	positive	ADJ
ma-354	190	45	impact	impact	NOUN
ma-354	190	46	on	on	ADP
ma-354	190	47	the	the	DET
ma-354	190	48	examination	examination	NOUN
ma-354	190	49	malpractice	malpractice	PROPN
ma-354	190	50	reproductive	reproductive	ADJ
ma-354	190	51	number(r0	number(r0	PROPN
ma-354	190	52	)	)	PUNCT
ma-354	190	53	.	.	PUNCT
ma-354	191	1	on	on	ADP
ma-354	191	2	the	the	DET
ma-354	191	3	other	other	ADJ
ma-354	191	4	hand	hand	NOUN
ma-354	191	5	,	,	PUNCT
ma-354	191	6	the	the	DET
ma-354	191	7	rate	rate	NOUN
ma-354	191	8	at	at	ADP
ma-354	191	9	which	which	PRON
ma-354	191	10	susceptible	susceptible	ADJ
ma-354	191	11	candidates	candidate	NOUN
ma-354	191	12	progress	progress	VERB
ma-354	191	13	to	to	PART
ma-354	191	14	honest	honest	ADJ
ma-354	191	15	or	or	CCONJ
ma-354	191	16	lawabiding	lawabide	VERB
ma-354	191	17	candidates	candidate	NOUN
ma-354	191	18	(	(	PUNCT
ma-354	191	19	β	β	NOUN
ma-354	191	20	)	)	PUNCT
ma-354	191	21	,	,	PUNCT
ma-354	191	22	the	the	DET
ma-354	191	23	rate	rate	NOUN
ma-354	191	24	at	at	ADP
ma-354	191	25	which	which	PRON
ma-354	191	26	candidates	candidate	NOUN
ma-354	191	27	recover	recover	VERB
ma-354	191	28	from	from	ADP
ma-354	191	29	malpractice	malpractice	NOUN
ma-354	191	30	(	(	PUNCT
ma-354	191	31	τ	τ	PROPN
ma-354	191	32	)	)	PUNCT
ma-354	191	33	and	and	CCONJ
ma-354	191	34	the	the	DET
ma-354	191	35	rate	rate	NOUN
ma-354	191	36	ofcancellation	ofcancellation	NOUN
ma-354	191	37	of	of	ADP
ma-354	191	38	examination	examination	NOUN
ma-354	191	39	results	result	NOUN
ma-354	191	40	(	(	PUNCT
ma-354	191	41	δ	δ	NOUN
ma-354	191	42	)	)	PUNCT
ma-354	191	43	have	have	VERB
ma-354	191	44	a	a	DET
ma-354	191	45	negative	negative	ADJ
ma-354	191	46	impact	impact	NOUN
ma-354	191	47	on	on	ADP
ma-354	191	48	r0	r0	NOUN
ma-354	191	49	.	.	PUNCT
ma-354	192	1	in	in	ADP
ma-354	192	2	other	other	ADJ
ma-354	192	3	words	word	NOUN
ma-354	192	4	,	,	PUNCT
ma-354	192	5	increasing	increase	VERB
ma-354	192	6	thevalue	thevalue	NOUN
ma-354	192	7	of	of	ADP
ma-354	192	8	any	any	DET
ma-354	192	9	parameter	parameter	NOUN
ma-354	192	10	with	with	ADP
ma-354	192	11	negative	negative	ADJ
ma-354	192	12	impact	impact	NOUN
ma-354	192	13	on	on	ADP
ma-354	192	14	r0	r0	NOUN
ma-354	192	15	will	will	AUX
ma-354	192	16	lead	lead	VERB
ma-354	192	17	to	to	ADP
ma-354	192	18	minimizing	minimize	VERB
ma-354	192	19	examination	examination	NOUN
ma-354	192	20	malpracticeat	malpracticeat	NOUN
ma-354	192	21	the	the	DET
ma-354	192	22	wassce	wassce	ADJ
ma-354	192	23	level	level	NOUN
ma-354	192	24	in	in	ADP
ma-354	192	25	ghana	ghana	PROPN
ma-354	192	26	.	.	PUNCT
ma-354	193	1	thus	thus	ADV
ma-354	193	2	,	,	PUNCT
ma-354	193	3	we	we	PRON
ma-354	193	4	recommend	recommend	VERB
ma-354	193	5	that	that	PRON
ma-354	193	6	to	to	PART
ma-354	193	7	control	control	VERB
ma-354	193	8	the	the	DET
ma-354	193	9	evil	evil	ADJ
ma-354	193	10	act	act	NOUN
ma-354	193	11	of	of	ADP
ma-354	193	12	examinationmalpractice	examinationmalpractice	PROPN
ma-354	193	13	during	during	ADP
ma-354	193	14	wassce	wassce	NOUN
ma-354	193	15	,	,	PUNCT
ma-354	193	16	the	the	DET
ma-354	193	17	examination	examination	NOUN
ma-354	193	18	bodies	body	NOUN
ma-354	193	19	should	should	AUX
ma-354	193	20	intensify	intensify	VERB
ma-354	193	21	the	the	DET
ma-354	193	22	orientation	orientation	NOUN
ma-354	193	23	programsfor	programsfor	NOUN
ma-354	193	24	candidates	candidate	NOUN
ma-354	193	25	,	,	PUNCT
ma-354	193	26	recruit	recruit	ADJ
ma-354	193	27	honest	honest	ADJ
ma-354	193	28	and	and	CCONJ
ma-354	193	29	principle	principle	ADJ
ma-354	193	30	invigilators	invigilator	NOUN
ma-354	193	31	who	who	PRON
ma-354	193	32	can	can	AUX
ma-354	193	33	strictly	strictly	ADV
ma-354	193	34	monitor	monitor	VERB
ma-354	193	35	the	the	DET
ma-354	193	36	candidatesin	candidatesin	NOUN
ma-354	193	37	the	the	DET
ma-354	193	38	examination	examination	NOUN
ma-354	193	39	rooms	room	NOUN
ma-354	193	40	,	,	PUNCT
ma-354	193	41	strictly	strictly	ADV
ma-354	193	42	enforce	enforce	VERB
ma-354	193	43	punishment	punishment	NOUN
ma-354	193	44	or	or	CCONJ
ma-354	193	45	disciplinary	disciplinary	ADJ
ma-354	193	46	actions	action	NOUN
ma-354	193	47	against	against	ADP
ma-354	193	48	examinationmalpractice	examinationmalpractice	PROPN
ma-354	193	49	perpetrators	perpetrator	NOUN
ma-354	193	50	.	.	PUNCT
ma-354	194	1	figure	figure	NOUN
ma-354	194	2	2	2	NUM
ma-354	194	3	.	.	PUNCT
ma-354	195	1	plot	plot	NOUN
ma-354	195	2	of	of	ADP
ma-354	195	3	sus	sus	PROPN
ma-354	195	4	-	-	PUNCT
ma-354	195	5	ceptible	ceptible	ADJ
ma-354	195	6	sub	sub	ADJ
ma-354	195	7	-	-	ADJ
ma-354	195	8	population	population	ADJ
ma-354	195	9	figure	figure	NOUN
ma-354	195	10	3	3	NUM
ma-354	195	11	.	.	PUNCT
ma-354	195	12	plot	plot	NOUN
ma-354	195	13	of	of	ADP
ma-354	195	14	mal	mal	ADJ
ma-354	195	15	-	-	PUNCT
ma-354	195	16	practice	practice	NOUN
ma-354	195	17	sub	sub	NOUN
ma-354	195	18	-	-	NOUN
ma-354	195	19	population	population	ADJ
ma-354	195	20	https://doi.org/10.28924/ada/ma.5.16	https://doi.org/10.28924/ada/ma.5.16	PROPN
ma-354	195	21	eur	eur	PROPN
ma-354	195	22	.	.	PUNCT
ma-354	196	1	j.	j.	PROPN
ma-354	196	2	math	math	PROPN
ma-354	196	3	.	.	PUNCT
ma-354	197	1	anal	anal	PROPN
ma-354	197	2	.	.	PUNCT
ma-354	198	1	10.28924	10.28924	NUM
ma-354	198	2	/	/	SYM
ma-354	198	3	ada	ada	PROPN
ma-354	198	4	/	/	SYM
ma-354	198	5	ma.5.16	ma.5.16	PROPN
ma-354	198	6	11	11	NUM
ma-354	198	7	figure	figure	NOUN
ma-354	198	8	4	4	NUM
ma-354	198	9	.	.	PUNCT
ma-354	198	10	plot	plot	NOUN
ma-354	198	11	of	of	ADP
ma-354	198	12	can	can	AUX
ma-354	198	13	-	-	PUNCT
ma-354	198	14	celled	celle	VERB
ma-354	198	15	sub	sub	ADJ
ma-354	198	16	-	-	ADJ
ma-354	198	17	population	population	ADJ
ma-354	198	18	figure	figure	NOUN
ma-354	198	19	5	5	NUM
ma-354	198	20	.	.	PUNCT
ma-354	198	21	plot	plot	NOUN
ma-354	198	22	of	of	ADP
ma-354	198	23	recov	recov	NOUN
ma-354	198	24	-	-	PUNCT
ma-354	198	25	ered	ere	VERB
ma-354	198	26	sub	sub	ADJ
ma-354	198	27	-	-	ADJ
ma-354	198	28	population	population	ADJ
ma-354	198	29	figure	figure	NOUN
ma-354	198	30	6	6	NUM
ma-354	198	31	.	.	PUNCT
ma-354	199	1	plot	plot	NOUN
ma-354	199	2	of	of	ADP
ma-354	199	3	hon	hon	PROPN
ma-354	199	4	-	-	PUNCT
ma-354	199	5	est	est	X
ma-354	199	6	sub	sub	ADJ
ma-354	199	7	-	-	ADJ
ma-354	199	8	population	population	ADJ
ma-354	199	9	figure	figure	NOUN
ma-354	199	10	7	7	NUM
ma-354	199	11	.	.	PUNCT
ma-354	199	12	plot	plot	NOUN
ma-354	199	13	of	of	ADP
ma-354	199	14	allsub	allsub	ADJ
ma-354	199	15	-	-	ADJ
ma-354	199	16	population	population	NOUN
ma-354	199	17	acknowledgment	acknowledgment	NOUN
ma-354	199	18	.	.	PUNCT
ma-354	200	1	authors	author	NOUN
ma-354	200	2	are	be	AUX
ma-354	200	3	much	much	ADV
ma-354	200	4	thankful	thankful	ADJ
ma-354	200	5	to	to	ADP
ma-354	200	6	other	other	ADJ
ma-354	200	7	faculty	faculty	NOUN
ma-354	200	8	members	member	NOUN
ma-354	200	9	and	and	CCONJ
ma-354	200	10	some	some	DET
ma-354	200	11	senior	senior	ADJ
ma-354	200	12	highschool	highschool	NOUN
ma-354	200	13	teachers	teacher	NOUN
ma-354	200	14	for	for	ADP
ma-354	200	15	their	their	PRON
ma-354	200	16	guidance	guidance	NOUN
ma-354	200	17	during	during	ADP
ma-354	200	18	the	the	DET
ma-354	200	19	development	development	NOUN
ma-354	200	20	of	of	ADP
ma-354	200	21	this	this	DET
ma-354	200	22	manuscript	manuscript	NOUN
ma-354	200	23	.	.	PUNCT
ma-354	201	1	much	much	ADV
ma-354	201	2	appreciationalso	appreciationalso	ADV
ma-354	201	3	goes	go	VERB
ma-354	201	4	to	to	ADP
ma-354	201	5	the	the	DET
ma-354	201	6	respected	respect	VERB
ma-354	201	7	reviewers	reviewer	NOUN
ma-354	201	8	for	for	ADP
ma-354	201	9	their	their	PRON
ma-354	201	10	valuable	valuable	ADJ
ma-354	201	11	comments	comment	NOUN
ma-354	201	12	and	and	CCONJ
ma-354	201	13	suggestions	suggestion	NOUN
ma-354	201	14	.	.	PUNCT
ma-354	202	1	conflict	conflict	NOUN
ma-354	202	2	of	of	ADP
ma-354	202	3	interest	interest	NOUN
ma-354	202	4	.	.	PUNCT
ma-354	203	1	authors	author	NOUN
ma-354	203	2	declare	declare	VERB
ma-354	203	3	that	that	SCONJ
ma-354	203	4	there	there	PRON
ma-354	203	5	is	be	VERB
ma-354	203	6	no	no	DET
ma-354	203	7	conflict	conflict	NOUN
ma-354	203	8	of	of	ADP
ma-354	203	9	interest	interest	NOUN
ma-354	203	10	regarding	regard	VERB
ma-354	203	11	the	the	DET
ma-354	203	12	publicationof	publicationof	NOUN
ma-354	203	13	this	this	DET
ma-354	203	14	work	work	NOUN
ma-354	203	15	.	.	PUNCT
ma-354	204	1	references	reference	NOUN
ma-354	204	2	[	[	X
ma-354	204	3	1	1	NUM
ma-354	204	4	]	]	PUNCT
ma-354	204	5	m.	m.	NOUN
ma-354	204	6	frempong	frempong	PROPN
ma-354	204	7	,	,	PUNCT
ma-354	204	8	e.	e.	PROPN
ma-354	204	9	b.	b.	PROPN
ma-354	204	10	a.	a.	PROPN
ma-354	204	11	arloo	arloo	PROPN
ma-354	204	12	,	,	PUNCT
ma-354	204	13	c.	c.	PROPN
ma-354	204	14	k.	k.	PROPN
ma-354	204	15	amissah	amissah	PROPN
ma-354	204	16	,	,	PUNCT
ma-354	204	17	factor	factor	NOUN
ma-354	204	18	analysis	analysis	NOUN
ma-354	204	19	of	of	ADP
ma-354	204	20	issues	issue	NOUN
ma-354	204	21	contributing	contribute	VERB
ma-354	204	22	to	to	ADP
ma-354	204	23	examination	examination	NOUN
ma-354	204	24	malpractice	malpractice	NOUN
ma-354	204	25	in	in	ADP
ma-354	204	26	atertiary	atertiary	ADJ
ma-354	204	27	institution	institution	NOUN
ma-354	204	28	in	in	ADP
ma-354	204	29	ghana	ghana	PROPN
ma-354	204	30	,	,	PUNCT
ma-354	204	31	math	math	NOUN
ma-354	204	32	.	.	PUNCT
ma-354	205	1	theory	theory	NOUN
ma-354	205	2	model	model	PROPN
ma-354	205	3	.	.	PROPN
ma-354	206	1	6	6	NUM
ma-354	206	2	(	(	PUNCT
ma-354	206	3	2016	2016	NUM
ma-354	206	4	)	)	PUNCT
ma-354	206	5	,	,	PUNCT
ma-354	206	6	1–6.[2	1–6.[2	NUM
ma-354	206	7	]	]	X
ma-354	206	8	j.	j.	PROPN
ma-354	206	9	o.	o.	PROPN
ma-354	206	10	okunlola	okunlola	PROPN
ma-354	206	11	,	,	PUNCT
ma-354	206	12	unmasking	unmask	VERB
ma-354	206	13	the	the	DET
ma-354	206	14	unseen	unseen	ADJ
ma-354	206	15	in	in	ADP
ma-354	206	16	examination	examination	NOUN
ma-354	206	17	malpractices	malpractice	NOUN
ma-354	206	18	in	in	ADP
ma-354	206	19	high	high	ADJ
ma-354	206	20	schools	school	NOUN
ma-354	206	21	:	:	PUNCT
ma-354	206	22	a	a	DET
ma-354	206	23	phenomenological	phenomenological	ADJ
ma-354	206	24	study	study	NOUN
ma-354	206	25	ofquality	ofquality	NOUN
ma-354	206	26	assurance	assurance	NOUN
ma-354	206	27	leaders	leader	NOUN
ma-354	206	28	’	'	PUNCT
ma-354	206	29	lived	live	VERB
ma-354	206	30	experiences	experience	NOUN
ma-354	206	31	in	in	ADP
ma-354	206	32	public	public	ADJ
ma-354	206	33	examinations	examination	NOUN
ma-354	206	34	,	,	PUNCT
ma-354	206	35	j.	j.	PROPN
ma-354	206	36	educ	educ	PROPN
ma-354	206	37	.	.	PUNCT
ma-354	207	1	teach	teach	VERB
ma-354	207	2	.	.	PUNCT
ma-354	208	1	train	train	NOUN
ma-354	208	2	.	.	PUNCT
ma-354	209	1	15	15	NUM
ma-354	209	2	(	(	PUNCT
ma-354	209	3	2024	2024	NUM
ma-354	209	4	)	)	PUNCT
ma-354	209	5	,	,	PUNCT
ma-354	209	6	17–31.[3	17–31.[3	NUM
ma-354	209	7	]	]	PUNCT
ma-354	209	8	l.	l.	PROPN
ma-354	209	9	r.	r.	PROPN
ma-354	209	10	ekpenyong	ekpenyong	PROPN
ma-354	209	11	,	,	PUNCT
ma-354	209	12	n.	n.	PROPN
ma-354	209	13	r.	r.	PROPN
ma-354	209	14	george	george	PROPN
ma-354	209	15	,	,	PUNCT
ma-354	209	16	examination	examination	NOUN
ma-354	209	17	malpractices	malpractice	NOUN
ma-354	209	18	in	in	ADP
ma-354	209	19	senior	senior	ADJ
ma-354	209	20	secondary	secondary	ADJ
ma-354	209	21	school	school	NOUN
ma-354	209	22	mathematics	mathematic	NOUN
ma-354	209	23	:	:	PUNCT
ma-354	209	24	types	type	NOUN
ma-354	209	25	,	,	PUNCT
ma-354	209	26	causes	cause	NOUN
ma-354	209	27	,	,	PUNCT
ma-354	209	28	and	and	CCONJ
ma-354	209	29	solution	solution	NOUN
ma-354	209	30	,	,	PUNCT
ma-354	209	31	int	int	NOUN
ma-354	209	32	.	.	PUNCT
ma-354	210	1	j.	j.	PROPN
ma-354	210	2	res	res	PROPN
ma-354	210	3	.	.	PUNCT
ma-354	211	1	educ	educ	PROPN
ma-354	211	2	.	.	PUNCT
ma-354	212	1	sustain	sustain	VERB
ma-354	212	2	.	.	PUNCT
ma-354	213	1	dev	dev	PROPN
ma-354	213	2	.	.	PROPN
ma-354	213	3	3	3	NUM
ma-354	213	4	(	(	PUNCT
ma-354	213	5	2023	2023	NUM
ma-354	213	6	)	)	PUNCT
ma-354	213	7	,	,	PUNCT
ma-354	213	8	62–72	62–72	NUM
ma-354	213	9	.	.	PUNCT
ma-354	214	1	https://doi.org/10.28924/ada/ma.5.16	https://doi.org/10.28924/ada/ma.5.16	PROPN
ma-354	214	2	eur	eur	PROPN
ma-354	214	3	.	.	PUNCT
ma-354	215	1	j.	j.	PROPN
ma-354	215	2	math	math	PROPN
ma-354	215	3	.	.	PUNCT
ma-354	216	1	anal	anal	PROPN
ma-354	216	2	.	.	PUNCT
ma-354	217	1	10.28924	10.28924	NUM
ma-354	217	2	/	/	SYM
ma-354	217	3	ada	ada	PROPN
ma-354	217	4	/	/	SYM
ma-354	217	5	ma.5.16	ma.5.16	PROPN
ma-354	217	6	12	12	NUM
ma-354	218	1	[	[	X
ma-354	218	2	4	4	X
ma-354	218	3	]	]	PUNCT
ma-354	218	4	t.	t.	PROPN
ma-354	218	5	i.	i.	PROPN
ma-354	218	6	chinebu	chinebu	PROPN
ma-354	218	7	,	,	PUNCT
ma-354	218	8	c.	c.	PROPN
ma-354	218	9	u.	u.	PROPN
ma-354	218	10	okonkwo	okonkwo	PROPN
ma-354	218	11	,	,	PUNCT
ma-354	218	12	i.	i.	PROPN
ma-354	218	13	l.	l.	PROPN
ma-354	218	14	okoliegbe	okoliegbe	PROPN
ma-354	218	15	,	,	PUNCT
ma-354	218	16	e.	e.	PROPN
ma-354	218	17	a.	a.	PROPN
ma-354	218	18	jooda	jooda	PROPN
ma-354	218	19	,	,	PUNCT
ma-354	218	20	mathematical	mathematical	ADJ
ma-354	218	21	analysis	analysis	NOUN
ma-354	218	22	of	of	ADP
ma-354	218	23	the	the	DET
ma-354	218	24	basic	basic	ADJ
ma-354	218	25	malpractice	malpractice	NOUN
ma-354	218	26	reproductionnumber	reproductionnumber	NOUN
ma-354	218	27	and	and	CCONJ
ma-354	218	28	the	the	DET
ma-354	218	29	dynamics	dynamic	NOUN
ma-354	218	30	of	of	ADP
ma-354	218	31	examination	examination	NOUN
ma-354	218	32	malpractice	malpractice	NOUN
ma-354	218	33	in	in	ADP
ma-354	218	34	nigeria	nigeria	PROPN
ma-354	218	35	using	use	VERB
ma-354	218	36	epidemiological	epidemiological	ADJ
ma-354	218	37	model	model	NOUN
ma-354	218	38	,	,	PUNCT
ma-354	218	39	int	int	NOUN
ma-354	218	40	.	.	PUNCT
ma-354	219	1	j.	j.	PROPN
ma-354	219	2	mechatron.electr	mechatron.electr	PROPN
ma-354	219	3	.	.	PUNCT
ma-354	220	1	comput	comput	NOUN
ma-354	220	2	.	.	PUNCT
ma-354	221	1	technol	technol	PROPN
ma-354	221	2	.	.	PROPN
ma-354	222	1	12	12	NUM
ma-354	222	2	(	(	PUNCT
ma-354	222	3	2022	2022	NUM
ma-354	222	4	)	)	PUNCT
ma-354	222	5	,	,	PUNCT
ma-354	222	6	5118–5123.[5	5118–5123.[5	NUM
ma-354	222	7	]	]	X
ma-354	222	8	a.	a.	NOUN
ma-354	222	9	a.	a.	NOUN
ma-354	222	10	olaoye	olaoye	PROPN
ma-354	222	11	,	,	PUNCT
ma-354	222	12	s.	s.	PROPN
ma-354	222	13	o.	o.	PROPN
ma-354	222	14	asesanya	asesanya	PROPN
ma-354	222	15	,	,	PUNCT
ma-354	222	16	examination	examination	NOUN
ma-354	222	17	malpractices	malpractice	NOUN
ma-354	222	18	in	in	ADP
ma-354	222	19	mathematics	mathematics	NOUN
ma-354	222	20	examinations	examination	NOUN
ma-354	222	21	as	as	ADP
ma-354	222	22	a	a	DET
ma-354	222	23	critical	critical	ADJ
ma-354	222	24	factor	factor	NOUN
ma-354	222	25	for	for	ADP
ma-354	222	26	prolif	prolif	NOUN
ma-354	222	27	-	-	PUNCT
ma-354	222	28	eration	eration	NOUN
ma-354	222	29	of	of	ADP
ma-354	222	30	higher	high	ADJ
ma-354	222	31	education	education	NOUN
ma-354	222	32	moral	moral	ADJ
ma-354	222	33	,	,	PUNCT
ma-354	222	34	educ	educ	NOUN
ma-354	222	35	.	.	PUNCT
ma-354	223	1	perspect	perspect	PROPN
ma-354	223	2	.	.	PUNCT
ma-354	224	1	12	12	NUM
ma-354	224	2	(	(	PUNCT
ma-354	224	3	2024	2024	NUM
ma-354	224	4	)	)	PUNCT
ma-354	224	5	,	,	PUNCT
ma-354	224	6	1–9.[6	1–9.[6	NUM
ma-354	224	7	]	]	X
ma-354	224	8	m.	m.	PROPN
ma-354	224	9	b.	b.	PROPN
ma-354	224	10	abdullahi	abdullahi	PROPN
ma-354	224	11	,	,	PUNCT
ma-354	224	12	a.	a.	NOUN
ma-354	224	13	sule	sule	PROPN
ma-354	224	14	,	,	PUNCT
ma-354	224	15	fractional	fractional	ADJ
ma-354	224	16	order	order	NOUN
ma-354	224	17	and	and	CCONJ
ma-354	224	18	numerical	numerical	ADJ
ma-354	224	19	solution	solution	NOUN
ma-354	224	20	of	of	ADP
ma-354	224	21	application	application	NOUN
ma-354	224	22	of	of	ADP
ma-354	224	23	modeling	modeling	NOUN
ma-354	224	24	to	to	PART
ma-354	224	25	manage	manage	VERB
ma-354	224	26	examinationmisconducts	examinationmisconduct	NOUN
ma-354	224	27	,	,	PUNCT
ma-354	224	28	niger	niger	NOUN
ma-354	224	29	.	.	PUNCT
ma-354	225	1	j.	j.	PROPN
ma-354	225	2	sci	sci	PROPN
ma-354	225	3	.	.	PUNCT
ma-354	226	1	eng	eng	PROPN
ma-354	226	2	.	.	PROPN
ma-354	226	3	infrastruct	infrastruct	PROPN
ma-354	226	4	.	.	PUNCT
ma-354	227	1	2	2	NUM
ma-354	227	2	(	(	PUNCT
ma-354	227	3	2024	2024	NUM
ma-354	227	4	)	)	PUNCT
ma-354	227	5	,	,	PUNCT
ma-354	227	6	28–45.[7	28–45.[7	NUM
ma-354	227	7	]	]	X
ma-354	227	8	l.	l.	PROPN
ma-354	227	9	chala	chala	PROPN
ma-354	227	10	,	,	PUNCT
ma-354	227	11	m.	m.	NOUN
ma-354	227	12	agago	agago	PROPN
ma-354	227	13	,	,	PUNCT
ma-354	227	14	exploring	explore	VERB
ma-354	227	15	national	national	ADJ
ma-354	227	16	examination	examination	NOUN
ma-354	227	17	malpractice	malpractice	NOUN
ma-354	227	18	mechanisms	mechanism	NOUN
ma-354	227	19	and	and	CCONJ
ma-354	227	20	countermeasures	countermeasure	NOUN
ma-354	227	21	:	:	PUNCT
ma-354	227	22	an	an	DET
ma-354	227	23	ethiopianperspective	ethiopianperspective	ADJ
ma-354	227	24	,	,	PUNCT
ma-354	227	25	int	int	NOUN
ma-354	227	26	.	.	PUNCT
ma-354	228	1	j.	j.	PROPN
ma-354	228	2	instr	instr	PROPN
ma-354	228	3	.	.	PROPN
ma-354	228	4	15	15	NUM
ma-354	228	5	(	(	PUNCT
ma-354	228	6	2022	2022	NUM
ma-354	228	7	)	)	PUNCT
ma-354	228	8	,	,	PUNCT
ma-354	228	9	413–428.[8	413–428.[8	NUM
ma-354	228	10	]	]	PUNCT
ma-354	228	11	k.	k.	PROPN
ma-354	228	12	asante	asante	PROPN
ma-354	228	13	-	-	PUNCT
ma-354	228	14	kyei	kyei	PROPN
ma-354	228	15	,	,	PUNCT
ma-354	228	16	k.	k.	PROPN
ma-354	228	17	nduro	nduro	PROPN
ma-354	228	18	,	,	PUNCT
ma-354	228	19	inclining	incline	VERB
ma-354	228	20	factors	factor	NOUN
ma-354	228	21	towards	towards	ADP
ma-354	228	22	examination	examination	NOUN
ma-354	228	23	malpractice	malpractice	NOUN
ma-354	228	24	among	among	ADP
ma-354	228	25	students	student	NOUN
ma-354	228	26	in	in	ADP
ma-354	228	27	takoradi	takoradi	PROPN
ma-354	228	28	polytechnic	polytechnic	ADJ
ma-354	228	29	,	,	PUNCT
ma-354	228	30	ghana	ghana	PROPN
ma-354	228	31	,	,	PUNCT
ma-354	228	32	j.	j.	PROPN
ma-354	228	33	educ	educ	PROPN
ma-354	228	34	.	.	PUNCT
ma-354	229	1	pract	pract	PROPN
ma-354	229	2	.	.	PUNCT
ma-354	230	1	5	5	NUM
ma-354	230	2	(	(	PUNCT
ma-354	230	3	2014	2014	NUM
ma-354	230	4	)	)	PUNCT
ma-354	230	5	,	,	PUNCT
ma-354	230	6	66–73.[9	66–73.[9	NUM
ma-354	230	7	]	]	X
ma-354	230	8	m.	m.	NOUN
ma-354	230	9	konlan	konlan	PROPN
ma-354	230	10	,	,	PUNCT
ma-354	230	11	b.	b.	PROPN
ma-354	230	12	a.	a.	PROPN
ma-354	230	13	danquah	danquah	PROPN
ma-354	230	14	,	,	PUNCT
ma-354	230	15	e.	e.	PROPN
ma-354	230	16	okyere	okyere	PROPN
ma-354	230	17	,	,	PUNCT
ma-354	230	18	s.	s.	PROPN
ma-354	230	19	osman	osman	PROPN
ma-354	230	20	,	,	PUNCT
ma-354	230	21	j.	j.	PROPN
ma-354	230	22	a.	a.	PROPN
ma-354	230	23	kessie	kessie	PROPN
ma-354	230	24	,	,	PUNCT
ma-354	230	25	e.	e.	PROPN
ma-354	230	26	k.	k.	PROPN
ma-354	230	27	donkoh	donkoh	PROPN
ma-354	230	28	,	,	PUNCT
ma-354	230	29	global	global	ADJ
ma-354	230	30	stability	stability	NOUN
ma-354	230	31	analysis	analysis	NOUN
ma-354	230	32	and	and	CCONJ
ma-354	230	33	modellingonchocerciasis	modellingonchocerciasis	NOUN
ma-354	230	34	transmission	transmission	NOUN
ma-354	230	35	dynamics	dynamic	NOUN
ma-354	230	36	with	with	ADP
ma-354	230	37	control	control	NOUN
ma-354	230	38	measures	measure	NOUN
ma-354	230	39	,	,	PUNCT
ma-354	230	40	infect	infect	VERB
ma-354	230	41	.	.	PUNCT
ma-354	231	1	ecol	ecol	NOUN
ma-354	231	2	.	.	PUNCT
ma-354	232	1	epidemiol	epidemiol	PROPN
ma-354	232	2	.	.	PUNCT
ma-354	233	1	14	14	NUM
ma-354	233	2	(	(	PUNCT
ma-354	233	3	2024	2024	NUM
ma-354	233	4	)	)	PUNCT
ma-354	233	5	,	,	PUNCT
ma-354	233	6	2347941.[10	2347941.[10	NUM
ma-354	233	7	]	]	PUNCT
ma-354	233	8	m.	m.	NOUN
ma-354	233	9	konlan	konlan	PROPN
ma-354	233	10	,	,	PUNCT
ma-354	233	11	modeling	model	VERB
ma-354	233	12	the	the	DET
ma-354	233	13	inflow	inflow	NOUN
ma-354	233	14	of	of	ADP
ma-354	233	15	exposed	expose	VERB
ma-354	233	16	and	and	CCONJ
ma-354	233	17	infected	infected	ADJ
ma-354	233	18	migrants	migrant	NOUN
ma-354	233	19	on	on	ADP
ma-354	233	20	the	the	DET
ma-354	233	21	dynamics	dynamic	NOUN
ma-354	233	22	of	of	ADP
ma-354	233	23	malaria	malaria	NOUN
ma-354	233	24	,	,	PUNCT
ma-354	233	25	eur	eur	PROPN
ma-354	233	26	.	.	PUNCT
ma-354	234	1	j.	j.	PROPN
ma-354	234	2	math	math	PROPN
ma-354	234	3	.	.	PUNCT
ma-354	235	1	anal	anal	PROPN
ma-354	235	2	.	.	PUNCT
ma-354	236	1	4(2024	4(2024	NUM
ma-354	236	2	)	)	PUNCT
ma-354	236	3	,	,	PUNCT
ma-354	236	4	7.[11	7.[11	NUM
ma-354	236	5	]	]	PUNCT
ma-354	236	6	a.	a.	NOUN
ma-354	236	7	a.	a.	PROPN
ma-354	236	8	ayoade	ayoade	PROPN
ma-354	236	9	,	,	PUNCT
ma-354	236	10	p.	p.	PROPN
ma-354	236	11	i.	i.	PROPN
ma-354	236	12	farayola	farayola	PROPN
ma-354	236	13	,	,	PUNCT
ma-354	236	14	dynamics	dynamic	NOUN
ma-354	236	15	of	of	ADP
ma-354	236	16	examination	examination	NOUN
ma-354	236	17	malpractice	malpractice	NOUN
ma-354	236	18	among	among	ADP
ma-354	236	19	the	the	DET
ma-354	236	20	key	key	ADJ
ma-354	236	21	players	player	NOUN
ma-354	236	22	in	in	ADP
ma-354	236	23	nigeria	nigeria	PROPN
ma-354	236	24	,	,	PUNCT
ma-354	236	25	daffodil	daffodil	ADJ
ma-354	236	26	int.univ	int.univ	PROPN
ma-354	236	27	.	.	PUNCT
ma-354	237	1	j.	j.	PROPN
ma-354	237	2	sci	sci	PROPN
ma-354	237	3	.	.	PROPN
ma-354	237	4	technol	technol	PROPN
ma-354	237	5	.	.	PROPN
ma-354	237	6	15	15	NUM
ma-354	237	7	(	(	PUNCT
ma-354	237	8	2020	2020	NUM
ma-354	237	9	)	)	PUNCT
ma-354	237	10	,	,	PUNCT
ma-354	237	11	25–32.[12	25–32.[12	NUM
ma-354	237	12	]	]	PUNCT
ma-354	237	13	s.	s.	PROPN
ma-354	237	14	nana	nana	PROPN
ma-354	237	15	-	-	PUNCT
ma-354	237	16	kyere	kyere	PROPN
ma-354	237	17	,	,	PUNCT
ma-354	237	18	b.	b.	PROPN
ma-354	237	19	seidu	seidu	PROPN
ma-354	237	20	,	,	PUNCT
ma-354	237	21	k.	k.	PROPN
ma-354	237	22	nantomah	nantomah	PROPN
ma-354	237	23	,	,	PUNCT
ma-354	237	24	mathematical	mathematical	ADJ
ma-354	237	25	analysis	analysis	NOUN
ma-354	237	26	of	of	ADP
ma-354	237	27	malaria	malaria	NOUN
ma-354	237	28	epidemic	epidemic	NOUN
ma-354	237	29	:	:	PUNCT
ma-354	237	30	asymptotic	asymptotic	ADJ
ma-354	237	31	stability	stability	NOUN
ma-354	237	32	withcost	withcost	NOUN
ma-354	237	33	-	-	PUNCT
ma-354	237	34	effectiveness	effectiveness	NOUN
ma-354	237	35	study	study	NOUN
ma-354	237	36	,	,	PUNCT
ma-354	237	37	j.	j.	PROPN
ma-354	237	38	appl	appl	PROPN
ma-354	237	39	.	.	PROPN
ma-354	237	40	math	math	PROPN
ma-354	237	41	.	.	PUNCT
ma-354	238	1	2024	2024	NUM
ma-354	238	2	(	(	PUNCT
ma-354	238	3	2024	2024	NUM
ma-354	238	4	)	)	PUNCT
ma-354	238	5	,	,	PUNCT
ma-354	238	6	5533885.[13	5533885.[13	NUM
ma-354	238	7	]	]	PUNCT
ma-354	238	8	m.	m.	NOUN
ma-354	238	9	m.	m.	PROPN
ma-354	238	10	ojo	ojo	PROPN
ma-354	238	11	,	,	PUNCT
ma-354	238	12	e.	e.	PROPN
ma-354	238	13	f.	f.	PROPN
ma-354	238	14	doungmo	doungmo	PROPN
ma-354	238	15	goufo	goufo	PROPN
ma-354	238	16	,	,	PUNCT
ma-354	238	17	assessing	assess	VERB
ma-354	238	18	the	the	DET
ma-354	238	19	impact	impact	NOUN
ma-354	238	20	of	of	ADP
ma-354	238	21	control	control	NOUN
ma-354	238	22	interventions	intervention	NOUN
ma-354	238	23	and	and	CCONJ
ma-354	238	24	awareness	awareness	NOUN
ma-354	238	25	on	on	ADP
ma-354	238	26	malaria	malaria	NOUN
ma-354	238	27	:	:	PUNCT
ma-354	238	28	amathematical	amathematical	ADJ
ma-354	238	29	modeling	modeling	NOUN
ma-354	238	30	approach	approach	NOUN
ma-354	238	31	,	,	PUNCT
ma-354	238	32	commun	commun	PROPN
ma-354	238	33	.	.	PUNCT
ma-354	238	34	math	math	NOUN
ma-354	238	35	.	.	PUNCT
ma-354	239	1	biol	biol	PROPN
ma-354	239	2	.	.	PUNCT
ma-354	240	1	neurosci	neurosci	PROPN
ma-354	240	2	.	.	PUNCT
ma-354	241	1	2021	2021	NUM
ma-354	241	2	(	(	PUNCT
ma-354	241	3	2021	2021	NUM
ma-354	241	4	)	)	PUNCT
ma-354	241	5	,	,	PUNCT
ma-354	241	6	93.[14	93.[14	PROPN
ma-354	241	7	]	]	X
ma-354	241	8	j.	j.	PROPN
ma-354	241	9	p.	p.	PROPN
ma-354	241	10	lasalle	lasalle	PROPN
ma-354	241	11	,	,	PUNCT
ma-354	241	12	stability	stability	NOUN
ma-354	241	13	theory	theory	NOUN
ma-354	241	14	and	and	CCONJ
ma-354	241	15	invariance	invariance	NOUN
ma-354	241	16	principles	principle	NOUN
ma-354	241	17	,	,	PUNCT
ma-354	241	18	in	in	ADP
ma-354	241	19	:	:	PUNCT
ma-354	241	20	dynamical	dynamical	ADJ
ma-354	241	21	systems	system	NOUN
ma-354	241	22	,	,	PUNCT
ma-354	241	23	academic	academic	ADJ
ma-354	241	24	press	press	NOUN
ma-354	241	25	,	,	PUNCT
ma-354	241	26	new	new	PROPN
ma-354	241	27	york	york	PROPN
ma-354	241	28	,	,	PUNCT
ma-354	241	29	1976	1976	NUM
ma-354	241	30	.	.	PUNCT
ma-354	242	1	https://doi.org/10.28924/ada/ma.5.16	https://doi.org/10.28924/ada/ma.5.16	PROPN
ma-354	243	1	1	1	X
ma-354	243	2	.	.	PUNCT
ma-354	243	3	introduction	introduction	NOUN
ma-354	243	4	2	2	NUM
ma-354	243	5	.	.	PUNCT
ma-354	243	6	model	model	NOUN
ma-354	243	7	construction	construction	NOUN
ma-354	243	8	2.1	2.1	NUM
ma-354	243	9	.	.	PUNCT
ma-354	244	1	well	well	ADJ
ma-354	244	2	-	-	PUNCT
ma-354	244	3	posedness	posedness	NOUN
ma-354	244	4	of	of	ADP
ma-354	244	5	the	the	DET
ma-354	244	6	model	model	NOUN
ma-354	244	7	2.2	2.2	NUM
ma-354	244	8	.	.	PUNCT
ma-354	245	1	the	the	DET
ma-354	245	2	examination	examination	NOUN
ma-354	245	3	malpractice	malpractice	NOUN
ma-354	245	4	-	-	PUNCT
ma-354	245	5	free	free	ADJ
ma-354	245	6	equilibrium	equilibrium	NOUN
ma-354	245	7	(	(	PUNCT
ma-354	245	8	emfe	emfe	NOUN
ma-354	245	9	)	)	PUNCT
ma-354	245	10	2.3	2.3	NUM
ma-354	245	11	.	.	PUNCT
ma-354	246	1	stability	stability	NOUN
ma-354	246	2	analysis	analysis	NOUN
ma-354	246	3	of	of	ADP
ma-354	246	4	the	the	DET
ma-354	246	5	examination	examination	NOUN
ma-354	246	6	malpractice	malpractice	NOUN
ma-354	246	7	-	-	PUNCT
ma-354	246	8	free	free	ADJ
ma-354	246	9	equilibrium	equilibrium	NOUN
ma-354	246	10	2.4	2.4	NUM
ma-354	246	11	.	.	PUNCT
ma-354	247	1	existence	existence	NOUN
ma-354	247	2	of	of	ADP
ma-354	247	3	examination	examination	NOUN
ma-354	247	4	malpractice	malpractice	NOUN
ma-354	247	5	endemic	endemic	ADJ
ma-354	247	6	equilibrium	equilibrium	NOUN
ma-354	247	7	point	point	NOUN
ma-354	247	8	(	(	PUNCT
ma-354	247	9	emeep	emeep	ADJ
ma-354	247	10	)	)	PUNCT
ma-354	247	11	3	3	X
ma-354	247	12	.	.	PUNCT
ma-354	247	13	local	local	ADJ
ma-354	247	14	sensitivity	sensitivity	NOUN
ma-354	247	15	analysis	analysis	NOUN
ma-354	247	16	4	4	NUM
ma-354	247	17	.	.	PUNCT
ma-354	247	18	numerical	numerical	ADJ
ma-354	247	19	simulations	simulation	NOUN
ma-354	247	20	5	5	NUM
ma-354	247	21	.	.	PUNCT
ma-354	247	22	discussion	discussion	NOUN
ma-354	247	23	and	and	CCONJ
ma-354	247	24	conclusion	conclusion	NOUN
ma-354	247	25	acknowledgment	acknowledgment	NOUN
ma-354	247	26	conflict	conflict	NOUN
ma-354	247	27	of	of	ADP
ma-354	247	28	interest	interest	NOUN
ma-354	247	29	references	reference	NOUN