id	sid	tid	token	lemma	pos
cana-1116	1	1	communications	communication	NOUN
cana-1116	1	2	on	on	ADP
cana-1116	1	3	applied	apply	VERB
cana-1116	1	4	nonlinear	nonlinear	ADJ
cana-1116	1	5	analysis	analysis	NOUN
cana-1116	1	6	issn	issn	NOUN
cana-1116	1	7	:	:	PUNCT
cana-1116	1	8	1074	1074	NUM
cana-1116	1	9	-	-	PUNCT
cana-1116	1	10	133x	133x	NUM
cana-1116	1	11	vol	vol	NOUN
cana-1116	1	12	31	31	NUM
cana-1116	1	13	no	no	NOUN
cana-1116	1	14	.	.	PUNCT
cana-1116	2	1	6s	6s	NUM
cana-1116	2	2	(	(	PUNCT
cana-1116	2	3	2024	2024	NUM
cana-1116	2	4	)	)	PUNCT
cana-1116	2	5	14	14	NUM
cana-1116	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	2	7	assessing	assess	VERB
cana-1116	2	8	the	the	DET
cana-1116	2	9	impact	impact	NOUN
cana-1116	2	10	of	of	ADP
cana-1116	2	11	vaccination	vaccination	NOUN
cana-1116	2	12	strategies	strategy	NOUN
cana-1116	2	13	and	and	CCONJ
cana-1116	2	14	re	re	NOUN
cana-1116	2	15	-	-	NOUN
cana-1116	2	16	infection	infection	NOUN
cana-1116	2	17	dynamics	dynamic	NOUN
cana-1116	2	18	on	on	ADP
cana-1116	2	19	mycobacterium	mycobacterium	NOUN
cana-1116	2	20	tuberculosis	tuberculosis	NOUN
cana-1116	2	21	transmission	transmission	NOUN
cana-1116	2	22	by	by	ADP
cana-1116	2	23	mathematical	mathematical	ADJ
cana-1116	2	24	modelling	modelling	NOUN
cana-1116	2	25	naresh	naresh	PROPN
cana-1116	2	26	kumar	kumar	PROPN
cana-1116	2	27	jothi1	jothi1	PROPN
cana-1116	2	28	,	,	PUNCT
cana-1116	2	29	lakshmi	lakshmi	NOUN
cana-1116	2	30	a.2	a.2	PUNCT
cana-1116	2	31	,	,	PUNCT
cana-1116	2	32	senthil	senthil	PROPN
cana-1116	2	33	kumar	kumar	PROPN
cana-1116	2	34	p3	p3	PROPN
cana-1116	2	35	,	,	PUNCT
cana-1116	2	36	senthil	senthil	PROPN
cana-1116	2	37	kumar	kumar	PROPN
cana-1116	2	38	dayalan4a,4b	dayalan4a,4b	PROPN
cana-1116	2	39	,	,	PUNCT
cana-1116	2	40	ramkumar	ramkumar	NOUN
cana-1116	2	41	c.5	c.5	NOUN
cana-1116	2	42	1associate	1associate	NUM
cana-1116	2	43	professor	professor	NOUN
cana-1116	2	44	,	,	PUNCT
cana-1116	2	45	department	department	NOUN
cana-1116	2	46	of	of	ADP
cana-1116	2	47	mathematics	mathematic	NOUN
cana-1116	2	48	,	,	PUNCT
cana-1116	2	49	vel	vel	PROPN
cana-1116	2	50	tech	tech	PROPN
cana-1116	2	51	rangarajan	rangarajan	PROPN
cana-1116	2	52	dr	dr	PROPN
cana-1116	2	53	.	.	PROPN
cana-1116	2	54	sagunthala	sagunthala	PROPN
cana-1116	2	55	r&d	r&d	PROPN
cana-1116	2	56	institute	institute	PROPN
cana-1116	2	57	of	of	ADP
cana-1116	2	58	science	science	NOUN
cana-1116	2	59	and	and	CCONJ
cana-1116	2	60	technology	technology	NOUN
cana-1116	2	61	,	,	PUNCT
cana-1116	2	62	avadi	avadi	NOUN
cana-1116	2	63	,	,	PUNCT
cana-1116	2	64	chennai	chennai	PROPN
cana-1116	2	65	,	,	PUNCT
cana-1116	2	66	tamil	tamil	PROPN
cana-1116	2	67	nadu	nadu	PROPN
cana-1116	2	68	,	,	PUNCT
cana-1116	2	69	india	india	PROPN
cana-1116	2	70	.	.	PUNCT
cana-1116	3	1	corresponding	correspond	VERB
cana-1116	3	2	author	author	NOUN
cana-1116	3	3	:	:	PUNCT
cana-1116	3	4	nareshsastra@yahoo.co.in1	nareshsastra@yahoo.co.in1	ADJ
cana-1116	3	5	2research	2research	NUM
cana-1116	3	6	scholar	scholar	NOUN
cana-1116	3	7	,	,	PUNCT
cana-1116	3	8	department	department	NOUN
cana-1116	3	9	of	of	ADP
cana-1116	3	10	mathematics	mathematic	NOUN
cana-1116	3	11	,	,	PUNCT
cana-1116	3	12	vel	vel	PROPN
cana-1116	3	13	tech	tech	PROPN
cana-1116	3	14	rangarajan	rangarajan	PROPN
cana-1116	3	15	dr	dr	PROPN
cana-1116	3	16	.	.	PROPN
cana-1116	3	17	sagunthala	sagunthala	PROPN
cana-1116	3	18	r&d	r&d	PROPN
cana-1116	3	19	institute	institute	PROPN
cana-1116	3	20	of	of	ADP
cana-1116	3	21	science	science	NOUN
cana-1116	3	22	and	and	CCONJ
cana-1116	3	23	technology	technology	NOUN
cana-1116	3	24	,	,	PUNCT
cana-1116	3	25	avadi	avadi	NOUN
cana-1116	3	26	,	,	PUNCT
cana-1116	3	27	chennai	chennai	PROPN
cana-1116	3	28	,	,	PUNCT
cana-1116	3	29	tamil	tamil	PROPN
cana-1116	3	30	nadu	nadu	NOUN
cana-1116	3	31	,	,	PUNCT
cana-1116	3	32	india.bklakshmimadhesiya81199@gmail.com2	india.bklakshmimadhesiya81199@gmail.com2	NOUN
cana-1116	3	33	3	3	NUM
cana-1116	3	34	assistant	assistant	NOUN
cana-1116	3	35	professor	professor	NOUN
cana-1116	3	36	,	,	PUNCT
cana-1116	3	37	department	department	NOUN
cana-1116	3	38	of	of	ADP
cana-1116	3	39	mathematics	mathematics	PROPN
cana-1116	3	40	vel	vel	PROPN
cana-1116	3	41	tech	tech	NOUN
cana-1116	3	42	high	high	ADJ
cana-1116	3	43	tech	tech	NOUN
cana-1116	3	44	dr.rangarajan	dr.rangarajan	NOUN
cana-1116	3	45	dr.sakunthala	dr.sakunthala	NOUN
cana-1116	3	46	engineering	engineering	NOUN
cana-1116	3	47	college	college	NOUN
cana-1116	3	48	,	,	PUNCT
cana-1116	3	49	avadi	avadi	NOUN
cana-1116	3	50	,	,	PUNCT
cana-1116	3	51	chennai	chennai	PROPN
cana-1116	3	52	,	,	PUNCT
cana-1116	3	53	tamil	tamil	PROPN
cana-1116	3	54	nadu	nadu	PROPN
cana-1116	3	55	,	,	PUNCT
cana-1116	3	56	india	india	PROPN
cana-1116	3	57	,	,	PUNCT
cana-1116	3	58	psenthil9159115957@gmail.com3	psenthil9159115957@gmail.com3	PROPN
cana-1116	3	59	4aresearch	4aresearch	NUM
cana-1116	3	60	scholar	scholar	NOUN
cana-1116	3	61	,	,	PUNCT
cana-1116	3	62	department	department	NOUN
cana-1116	3	63	of	of	ADP
cana-1116	3	64	mathematics	mathematic	NOUN
cana-1116	3	65	,	,	PUNCT
cana-1116	3	66	vel	vel	PROPN
cana-1116	3	67	tech	tech	PROPN
cana-1116	3	68	rangarajan	rangarajan	PROPN
cana-1116	3	69	dr	dr	PROPN
cana-1116	3	70	.	.	PROPN
cana-1116	3	71	sagunthala	sagunthala	PROPN
cana-1116	3	72	r&d	r&d	PROPN
cana-1116	3	73	institute	institute	PROPN
cana-1116	3	74	of	of	ADP
cana-1116	3	75	science	science	NOUN
cana-1116	3	76	and	and	CCONJ
cana-1116	3	77	technology	technology	NOUN
cana-1116	3	78	,	,	PUNCT
cana-1116	3	79	avadi	avadi	NOUN
cana-1116	3	80	,	,	PUNCT
cana-1116	3	81	chennai	chennai	PROPN
cana-1116	3	82	,	,	PUNCT
cana-1116	3	83	tamil	tamil	PROPN
cana-1116	3	84	nadu	nadu	PROPN
cana-1116	3	85	,	,	PUNCT
cana-1116	3	86	india	india	PROPN
cana-1116	3	87	,	,	PUNCT
cana-1116	3	88	senthil.d18@gmail.com	senthil.d18@gmail.com	X
cana-1116	3	89	4	4	NUM
cana-1116	3	90	4b	4b	PROPN
cana-1116	3	91	assistant	assistant	PROPN
cana-1116	3	92	professor	professor	NOUN
cana-1116	3	93	,	,	PUNCT
cana-1116	3	94	department	department	NOUN
cana-1116	3	95	of	of	ADP
cana-1116	3	96	mathematics	mathematics	PROPN
cana-1116	3	97	,	,	PUNCT
cana-1116	3	98	velammal	velammal	PROPN
cana-1116	3	99	institute	institute	PROPN
cana-1116	3	100	of	of	ADP
cana-1116	3	101	technology	technology	PROPN
cana-1116	3	102	,	,	PUNCT
cana-1116	3	103	panchetti	panchetti	PROPN
cana-1116	3	104	,	,	PUNCT
cana-1116	3	105	chennai	chennai	PROPN
cana-1116	3	106	,	,	PUNCT
cana-1116	3	107	tamil	tamil	PROPN
cana-1116	3	108	nadu	nadu	NOUN
cana-1116	3	109	,	,	PUNCT
cana-1116	3	110	5department	5department	NUM
cana-1116	3	111	of	of	ADP
cana-1116	3	112	mathematics	mathematic	NOUN
cana-1116	3	113	,	,	PUNCT
cana-1116	3	114	bharath	bharath	PROPN
cana-1116	3	115	institute	institute	PROPN
cana-1116	3	116	of	of	ADP
cana-1116	3	117	higher	high	ADJ
cana-1116	3	118	education	education	NOUN
cana-1116	3	119	and	and	CCONJ
cana-1116	3	120	research	research	NOUN
cana-1116	3	121	,	,	PUNCT
cana-1116	3	122	selaiyur	selaiyur	PROPN
cana-1116	3	123	,	,	PUNCT
cana-1116	3	124	chennai	chennai	PROPN
cana-1116	3	125	,	,	PUNCT
cana-1116	3	126	tamil	tamil	PROPN
cana-1116	3	127	nadu	nadu	NOUN
cana-1116	3	128	,	,	PUNCT
cana-1116	3	129	india.scpram@gmail.com5	india.scpram@gmail.com5	NOUN
cana-1116	3	130	article	article	NOUN
cana-1116	3	131	history	history	NOUN
cana-1116	3	132	:	:	PUNCT
cana-1116	3	133	received	receive	VERB
cana-1116	3	134	:	:	PUNCT
cana-1116	3	135	18	18	NUM
cana-1116	3	136	-	-	SYM
cana-1116	3	137	05	05	NUM
cana-1116	3	138	-	-	PUNCT
cana-1116	3	139	2024	2024	NUM
cana-1116	3	140	revised	revise	VERB
cana-1116	3	141	:	:	PUNCT
cana-1116	3	142	28	28	NUM
cana-1116	3	143	-	-	SYM
cana-1116	3	144	06	06	NUM
cana-1116	3	145	-	-	PUNCT
cana-1116	3	146	2024	2024	NUM
cana-1116	3	147	accepted	accept	VERB
cana-1116	3	148	:	:	PUNCT
cana-1116	3	149	16	16	NUM
cana-1116	3	150	-	-	SYM
cana-1116	3	151	07	07	NUM
cana-1116	3	152	-	-	PUNCT
cana-1116	3	153	2024	2024	NUM
cana-1116	3	154	abstract	abstract	NOUN
cana-1116	3	155	:	:	PUNCT
cana-1116	3	156	in	in	ADP
cana-1116	3	157	this	this	DET
cana-1116	3	158	work	work	NOUN
cana-1116	3	159	,	,	PUNCT
cana-1116	3	160	we	we	PRON
cana-1116	3	161	investigated	investigate	VERB
cana-1116	3	162	the	the	DET
cana-1116	3	163	consequences	consequence	NOUN
cana-1116	3	164	of	of	ADP
cana-1116	3	165	an	an	DET
cana-1116	3	166	inadequate	inadequate	ADJ
cana-1116	3	167	vaccination	vaccination	NOUN
cana-1116	3	168	along	along	ADP
cana-1116	3	169	with	with	ADP
cana-1116	3	170	other	other	ADJ
cana-1116	3	171	exogenous	exogenous	ADJ
cana-1116	3	172	variables	variable	NOUN
cana-1116	3	173	such	such	ADJ
cana-1116	3	174	as	as	ADP
cana-1116	3	175	treatment	treatment	NOUN
cana-1116	3	176	-	-	PUNCT
cana-1116	3	177	associated	associate	VERB
cana-1116	3	178	re	re	NOUN
cana-1116	3	179	-	-	NOUN
cana-1116	3	180	infection	infection	NOUN
cana-1116	3	181	and	and	CCONJ
cana-1116	3	182	re	re	NOUN
cana-1116	3	183	-	-	NOUN
cana-1116	3	184	infection	infection	NOUN
cana-1116	3	185	among	among	ADP
cana-1116	3	186	former	former	ADJ
cana-1116	3	187	patients	patient	NOUN
cana-1116	3	188	.	.	PUNCT
cana-1116	4	1	our	our	PRON
cana-1116	4	2	models	model	NOUN
cana-1116	4	3	represent	represent	VERB
cana-1116	4	4	six	six	NUM
cana-1116	4	5	stages	stage	NOUN
cana-1116	4	6	:	:	PUNCT
cana-1116	4	7	susceptible	susceptible	ADJ
cana-1116	4	8	population	population	NOUN
cana-1116	4	9	,	,	PUNCT
cana-1116	4	10	vaccinated	vaccinated	ADJ
cana-1116	4	11	population	population	NOUN
cana-1116	4	12	,	,	PUNCT
cana-1116	4	13	latently	latently	ADV
cana-1116	4	14	infected	infect	VERB
cana-1116	4	15	population	population	NOUN
cana-1116	4	16	,	,	PUNCT
cana-1116	4	17	rate	rate	NOUN
cana-1116	4	18	of	of	ADP
cana-1116	4	19	induced	induced	ADJ
cana-1116	4	20	population	population	NOUN
cana-1116	4	21	,	,	PUNCT
cana-1116	4	22	quarantine	quarantine	NOUN
cana-1116	4	23	population	population	NOUN
cana-1116	4	24	and	and	CCONJ
cana-1116	4	25	rate	rate	NOUN
cana-1116	4	26	of	of	ADP
cana-1116	4	27	recover	recover	NOUN
cana-1116	4	28	population	population	NOUN
cana-1116	4	29	.	.	PUNCT
cana-1116	5	1	in	in	ADP
cana-1116	5	2	this	this	DET
cana-1116	5	3	model	model	NOUN
cana-1116	5	4	,	,	PUNCT
cana-1116	5	5	we	we	PRON
cana-1116	5	6	find	find	VERB
cana-1116	5	7	out	out	ADP
cana-1116	5	8	disease	disease	NOUN
cana-1116	5	9	-	-	PUNCT
cana-1116	5	10	free	free	ADJ
cana-1116	5	11	equilibrium	equilibrium	NOUN
cana-1116	5	12	points	point	NOUN
cana-1116	5	13	,	,	PUNCT
cana-1116	5	14	reproduction	reproduction	NOUN
cana-1116	5	15	number	number	NOUN
cana-1116	5	16	r_0	r_0	PRON
cana-1116	5	17	is	be	AUX
cana-1116	5	18	used	use	VERB
cana-1116	5	19	to	to	PART
cana-1116	5	20	control	control	VERB
cana-1116	5	21	the	the	DET
cana-1116	5	22	re	re	NOUN
cana-1116	5	23	-	-	NOUN
cana-1116	5	24	infection	infection	NOUN
cana-1116	5	25	rate	rate	NOUN
cana-1116	5	26	in	in	ADP
cana-1116	5	27	the	the	DET
cana-1116	5	28	population	population	NOUN
cana-1116	5	29	.	.	PUNCT
cana-1116	6	1	furthermore	furthermore	ADV
cana-1116	6	2	,	,	PUNCT
cana-1116	6	3	the	the	DET
cana-1116	6	4	results	result	NOUN
cana-1116	6	5	suggest	suggest	VERB
cana-1116	6	6	that	that	SCONJ
cana-1116	6	7	even	even	ADV
cana-1116	6	8	a	a	DET
cana-1116	6	9	subpar	subpar	ADJ
cana-1116	6	10	mycobacterium	mycobacterium	NOUN
cana-1116	6	11	tuberculosis	tuberculosis	NOUN
cana-1116	6	12	vaccine	vaccine	NOUN
cana-1116	6	13	is	be	AUX
cana-1116	6	14	always	always	ADV
cana-1116	6	15	successful	successful	ADJ
cana-1116	6	16	at	at	ADP
cana-1116	6	17	reducing	reduce	VERB
cana-1116	6	18	the	the	DET
cana-1116	6	19	spread	spread	NOUN
cana-1116	6	20	of	of	ADP
cana-1116	6	21	infectious	infectious	ADJ
cana-1116	6	22	diseases	disease	NOUN
cana-1116	6	23	among	among	ADP
cana-1116	6	24	the	the	DET
cana-1116	6	25	population	population	NOUN
cana-1116	6	26	,	,	PUNCT
cana-1116	6	27	even	even	ADV
cana-1116	6	28	though	though	SCONJ
cana-1116	6	29	its	its	PRON
cana-1116	6	30	general	general	ADJ
cana-1116	6	31	effect	effect	NOUN
cana-1116	6	32	improves	improve	VERB
cana-1116	6	33	with	with	ADP
cana-1116	6	34	greater	great	ADJ
cana-1116	6	35	efficacy	efficacy	NOUN
cana-1116	6	36	and	and	CCONJ
cana-1116	6	37	penetration	penetration	NOUN
cana-1116	6	38	.	.	PUNCT
cana-1116	7	1	it	it	PRON
cana-1116	7	2	is	be	AUX
cana-1116	7	3	demonstrated	demonstrate	VERB
cana-1116	7	4	that	that	SCONJ
cana-1116	7	5	a	a	DET
cana-1116	7	6	small	small	ADJ
cana-1116	7	7	percentage	percentage	NOUN
cana-1116	7	8	of	of	ADP
cana-1116	7	9	the	the	DET
cana-1116	7	10	overall	overall	ADJ
cana-1116	7	11	population	population	NOUN
cana-1116	7	12	receives	receive	VERB
cana-1116	7	13	immunization	immunization	NOUN
cana-1116	7	14	in	in	ADP
cana-1116	7	15	a	a	DET
cana-1116	7	16	stable	stable	ADJ
cana-1116	7	17	state	state	NOUN
cana-1116	7	18	and	and	CCONJ
cana-1116	7	19	vaccine	vaccine	NOUN
cana-1116	7	20	efficacy	efficacy	NOUN
cana-1116	7	21	plays	play	VERB
cana-1116	7	22	an	an	DET
cana-1116	7	23	equal	equal	ADJ
cana-1116	7	24	part	part	NOUN
cana-1116	7	25	in	in	ADP
cana-1116	7	26	decreasing	decrease	VERB
cana-1116	7	27	the	the	DET
cana-1116	7	28	burden	burden	NOUN
cana-1116	7	29	of	of	ADP
cana-1116	7	30	disease	disease	NOUN
cana-1116	7	31	.	.	PUNCT
cana-1116	8	1	based	base	VERB
cana-1116	8	2	on	on	ADP
cana-1116	8	3	the	the	DET
cana-1116	8	4	numerical	numerical	PROPN
cana-1116	8	5	simulation	simulation	PROPN
cana-1116	8	6	,	,	PUNCT
cana-1116	8	7	the	the	DET
cana-1116	8	8	establishment	establishment	NOUN
cana-1116	8	9	of	of	ADP
cana-1116	8	10	the	the	DET
cana-1116	8	11	tb	tb	NOUN
cana-1116	8	12	disease	disease	NOUN
cana-1116	8	13	is	be	AUX
cana-1116	8	14	decrease	decrease	NOUN
cana-1116	8	15	and	and	CCONJ
cana-1116	8	16	control	control	NOUN
cana-1116	8	17	by	by	ADP
cana-1116	8	18	the	the	DET
cana-1116	8	19	vaccination	vaccination	NOUN
cana-1116	8	20	coverage	coverage	NOUN
cana-1116	8	21	and	and	CCONJ
cana-1116	8	22	efficacy	efficacy	NOUN
cana-1116	8	23	of	of	ADP
cana-1116	8	24	the	the	DET
cana-1116	8	25	treatment	treatment	NOUN
cana-1116	8	26	.	.	PUNCT
cana-1116	9	1	using	use	VERB
cana-1116	9	2	an	an	DET
cana-1116	9	3	imperfect	imperfect	ADJ
cana-1116	9	4	vaccine	vaccine	NOUN
cana-1116	9	5	can	can	AUX
cana-1116	9	6	control	control	VERB
cana-1116	9	7	mycobacterium	mycobacterium	NOUN
cana-1116	9	8	in	in	ADP
cana-1116	9	9	the	the	DET
cana-1116	9	10	population	population	NOUN
cana-1116	9	11	.	.	PUNCT
cana-1116	10	1	the	the	DET
cana-1116	10	2	next	next	ADJ
cana-1116	10	3	-	-	PUNCT
cana-1116	10	4	generation	generation	NOUN
cana-1116	10	5	matrix	matrix	NOUN
cana-1116	10	6	approach	approach	NOUN
cana-1116	10	7	was	be	AUX
cana-1116	10	8	utilized	utilize	VERB
cana-1116	10	9	to	to	PART
cana-1116	10	10	determine	determine	VERB
cana-1116	10	11	the	the	DET
cana-1116	10	12	effective	effective	ADJ
cana-1116	10	13	reproduction	reproduction	NOUN
cana-1116	10	14	number	number	NOUN
cana-1116	10	15	of	of	ADP
cana-1116	10	16	the	the	DET
cana-1116	10	17	proposed	propose	VERB
cana-1116	10	18	system	system	NOUN
cana-1116	10	19	.	.	PUNCT
cana-1116	11	1	the	the	DET
cana-1116	11	2	utilization	utilization	NOUN
cana-1116	11	3	of	of	ADP
cana-1116	11	4	the	the	DET
cana-1116	11	5	exponential	exponential	ADJ
cana-1116	11	6	theory	theory	NOUN
cana-1116	11	7	which	which	PRON
cana-1116	11	8	provided	provide	VERB
cana-1116	11	9	the	the	DET
cana-1116	11	10	disease	disease	NOUN
cana-1116	11	11	-	-	PUNCT
cana-1116	11	12	free	free	ADJ
cana-1116	11	13	equilibrium	equilibrium	NOUN
cana-1116	11	14	is	be	AUX
cana-1116	11	15	stable	stable	ADJ
cana-1116	11	16	and	and	CCONJ
cana-1116	11	17	coexists	coexist	VERB
cana-1116	11	18	endemic	endemic	ADJ
cana-1116	11	19	equilibrium	equilibrium	NOUN
cana-1116	11	20	point	point	NOUN
cana-1116	11	21	.	.	PUNCT
cana-1116	12	1	the	the	DET
cana-1116	12	2	lyapunov	lyapunov	ADJ
cana-1116	12	3	function	function	NOUN
cana-1116	12	4	were	be	AUX
cana-1116	12	5	used	use	VERB
cana-1116	12	6	to	to	PART
cana-1116	12	7	determine	determine	VERB
cana-1116	12	8	the	the	DET
cana-1116	12	9	disease	disease	NOUN
cana-1116	12	10	is	be	AUX
cana-1116	12	11	globally	globally	ADV
cana-1116	12	12	asymptotically	asymptotically	ADV
cana-1116	12	13	stable	stable	ADJ
cana-1116	12	14	.	.	PUNCT
cana-1116	13	1	we	we	PRON
cana-1116	13	2	find	find	VERB
cana-1116	13	3	out	out	ADP
cana-1116	13	4	the	the	DET
cana-1116	13	5	non	non	ADJ
cana-1116	13	6	-	-	ADJ
cana-1116	13	7	negative	negative	ADJ
cana-1116	13	8	(	(	PUNCT
cana-1116	13	9	in	in	ADP
cana-1116	13	10	variant	variant	ADJ
cana-1116	13	11	region	region	NOUN
cana-1116	13	12	)	)	PUNCT
cana-1116	13	13	.	.	PUNCT
cana-1116	14	1	we	we	PRON
cana-1116	14	2	used	use	VERB
cana-1116	14	3	random	random	ADJ
cana-1116	14	4	data	datum	NOUN
cana-1116	14	5	in	in	ADP
cana-1116	14	6	matlab	matlab	PROPN
cana-1116	14	7	to	to	PART
cana-1116	14	8	figure	figure	VERB
cana-1116	14	9	out	out	ADP
cana-1116	14	10	the	the	DET
cana-1116	14	11	result	result	NOUN
cana-1116	14	12	of	of	ADP
cana-1116	14	13	the	the	DET
cana-1116	14	14	model	model	NOUN
cana-1116	14	15	.	.	PUNCT
cana-1116	15	1	keywords	keyword	NOUN
cana-1116	15	2	:	:	PUNCT
cana-1116	15	3	mathematical	mathematical	ADJ
cana-1116	15	4	model	model	NOUN
cana-1116	15	5	,	,	PUNCT
cana-1116	15	6	equilibrium	equilibrium	NOUN
cana-1116	15	7	point	point	NOUN
cana-1116	15	8	,	,	PUNCT
cana-1116	15	9	reproduction	reproduction	NOUN
cana-1116	15	10	number	number	NOUN
cana-1116	15	11	,	,	PUNCT
cana-1116	15	12	locally	locally	ADV
cana-1116	15	13	asymptotically	asymptotically	ADV
cana-1116	15	14	stable	stable	ADJ
cana-1116	15	15	,	,	PUNCT
cana-1116	15	16	non	non	ADJ
cana-1116	15	17	-	-	ADJ
cana-1116	15	18	negative	negative	ADJ
cana-1116	15	19	(	(	PUNCT
cana-1116	15	20	in	in	ADP
cana-1116	15	21	variant	variant	ADJ
cana-1116	15	22	region	region	NOUN
cana-1116	15	23	)	)	PUNCT
cana-1116	15	24	,	,	PUNCT
cana-1116	15	25	global	global	ADJ
cana-1116	15	26	stability	stability	NOUN
cana-1116	15	27	.	.	PUNCT
cana-1116	16	1	1	1	X
cana-1116	16	2	.	.	X
cana-1116	16	3	introduction	introduction	NOUN
cana-1116	16	4	mycobacterium	mycobacterium	NOUN
cana-1116	16	5	tuberculosis	tuberculosis	NOUN
cana-1116	16	6	(	(	PUNCT
cana-1116	16	7	mt	mt	PROPN
cana-1116	16	8	)	)	PUNCT
cana-1116	16	9	,	,	PUNCT
cana-1116	16	10	having	having	AUX
cana-1116	16	11	existed	exist	VERB
cana-1116	16	12	for	for	ADP
cana-1116	16	13	an	an	DET
cana-1116	16	14	extended	extended	ADJ
cana-1116	16	15	period	period	NOUN
cana-1116	16	16	has	have	AUX
cana-1116	16	17	undergone	undergo	VERB
cana-1116	16	18	numerous	numerous	ADJ
cana-1116	16	19	changes	change	NOUN
cana-1116	16	20	in	in	ADP
cana-1116	16	21	nomenclature	nomenclature	NOUN
cana-1116	16	22	.	.	PUNCT
cana-1116	17	1	the	the	DET
cana-1116	17	2	good	good	PROPN
cana-1116	17	3	news	news	PROPN
cana-1116	17	4	is	be	AUX
cana-1116	17	5	that	that	SCONJ
cana-1116	17	6	the	the	DET
cana-1116	17	7	development	development	NOUN
cana-1116	17	8	of	of	ADP
cana-1116	17	9	mycobacterium	mycobacterium	NOUN
cana-1116	17	10	begins	begin	VERB
cana-1116	17	11	to	to	PART
cana-1116	17	12	take	take	VERB
cana-1116	17	13	communications	communication	NOUN
cana-1116	17	14	on	on	ADP
cana-1116	17	15	applied	apply	VERB
cana-1116	17	16	nonlinear	nonlinear	ADJ
cana-1116	17	17	analysis	analysis	NOUN
cana-1116	17	18	issn	issn	NOUN
cana-1116	17	19	:	:	PUNCT
cana-1116	17	20	1074	1074	NUM
cana-1116	17	21	-	-	PUNCT
cana-1116	17	22	133x	133x	NUM
cana-1116	17	23	vol	vol	NOUN
cana-1116	17	24	31	31	NUM
cana-1116	17	25	no	no	NOUN
cana-1116	17	26	.	.	PUNCT
cana-1116	18	1	6s	6s	NUM
cana-1116	18	2	(	(	PUNCT
cana-1116	18	3	2024	2024	NUM
cana-1116	18	4	)	)	PUNCT
cana-1116	18	5	15	15	NUM
cana-1116	18	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	18	7	shape	shape	NOUN
cana-1116	18	8	in	in	ADP
cana-1116	18	9	1720	1720	NUM
cana-1116	18	10	.	.	PUNCT
cana-1116	19	1	the	the	DET
cana-1116	19	2	infection	infection	NOUN
cana-1116	19	3	caused	cause	VERB
cana-1116	19	4	by	by	ADP
cana-1116	19	5	a	a	DET
cana-1116	19	6	virus	virus	NOUN
cana-1116	19	7	might	might	AUX
cana-1116	19	8	have	have	AUX
cana-1116	19	9	been	be	AUX
cana-1116	19	10	inflicted	inflict	VERB
cana-1116	19	11	by	by	ADP
cana-1116	19	12	airborne	airborne	ADJ
cana-1116	19	13	bacteria	bacteria	NOUN
cana-1116	19	14	that	that	PRON
cana-1116	19	15	spread	spread	VERB
cana-1116	19	16	to	to	ADP
cana-1116	19	17	other	other	ADJ
cana-1116	19	18	individuals	individual	NOUN
cana-1116	19	19	,	,	PUNCT
cana-1116	19	20	as	as	SCONJ
cana-1116	19	21	physician	physician	NOUN
cana-1116	19	22	benjamin	benjamin	PROPN
cana-1116	19	23	marten	marten	PROPN
cana-1116	19	24	pointed	point	VERB
cana-1116	19	25	out	out	ADP
cana-1116	19	26	in	in	ADP
cana-1116	19	27	his	his	PRON
cana-1116	19	28	book	book	NOUN
cana-1116	19	29	a	a	DET
cana-1116	19	30	theory	theory	NOUN
cana-1116	19	31	of	of	ADP
cana-1116	19	32	consumption	consumption	NOUN
cana-1116	19	33	.	.	PUNCT
cana-1116	20	1	the	the	DET
cana-1116	20	2	tuberculosis	tuberculosis	NOUN
cana-1116	20	3	complex	complex	NOUN
cana-1116	20	4	evolved	evolve	VERB
cana-1116	20	5	in	in	ADP
cana-1116	20	6	africa	africa	PROPN
cana-1116	20	7	and	and	CCONJ
cana-1116	20	8	developed	develop	VERB
cana-1116	20	9	in	in	ADP
cana-1116	20	10	the	the	DET
cana-1116	20	11	northern	northern	ADJ
cana-1116	20	12	part	part	NOUN
cana-1116	20	13	of	of	ADP
cana-1116	20	14	africa	africa	PROPN
cana-1116	20	15	.	.	PUNCT
cana-1116	21	1	representatives	representative	NOUN
cana-1116	21	2	of	of	ADP
cana-1116	21	3	the	the	DET
cana-1116	21	4	tuberculosis	tuberculosis	NOUN
cana-1116	21	5	complicated	complicated	ADJ
cana-1116	21	6	(	(	PUNCT
cana-1116	21	7	mtbc	mtbc	PROPN
cana-1116	21	8	)	)	PUNCT
cana-1116	21	9	which	which	PRON
cana-1116	21	10	consists	consist	VERB
cana-1116	21	11	of	of	ADP
cana-1116	21	12	the	the	DET
cana-1116	21	13	strains	strain	NOUN
cana-1116	21	14	m.	m.	NOUN
cana-1116	21	15	tuberculosis	tuberculosis	NOUN
cana-1116	21	16	,	,	PUNCT
cana-1116	21	17	m.	m.	NOUN
cana-1116	21	18	africanum	africanum	PROPN
cana-1116	21	19	,	,	PUNCT
cana-1116	21	20	m.	m.	NOUN
cana-1116	21	21	bovis	bovis	NOUN
cana-1116	21	22	(	(	PUNCT
cana-1116	21	23	dassie	dassie	NOUN
cana-1116	21	24	's	's	PART
cana-1116	21	25	bacillus	bacillus	NOUN
cana-1116	21	26	)	)	PUNCT
cana-1116	21	27	,	,	PUNCT
cana-1116	21	28	m.	m.	NOUN
cana-1116	21	29	caprae	caprae	PROPN
cana-1116	21	30	,	,	PUNCT
cana-1116	21	31	m.	m.	NOUN
cana-1116	21	32	microti	microti	PROPN
cana-1116	21	33	,	,	PUNCT
cana-1116	21	34	m.	m.	NOUN
cana-1116	21	35	mungi	mungi	PROPN
cana-1116	21	36	,	,	PUNCT
cana-1116	21	37	m.	m.	NOUN
cana-1116	21	38	orygis	orygis	NOUN
cana-1116	21	39	and	and	CCONJ
cana-1116	21	40	m.	m.	NOUN
cana-1116	21	41	pinnipedii	pinnipedii	NOUN
cana-1116	21	42	have	have	AUX
cana-1116	21	43	spread	spread	VERB
cana-1116	21	44	the	the	DET
cana-1116	21	45	disease	disease	NOUN
cana-1116	21	46	to	to	ADP
cana-1116	21	47	several	several	ADJ
cana-1116	21	48	distinct	distinct	ADJ
cana-1116	21	49	types	type	NOUN
cana-1116	21	50	of	of	ADP
cana-1116	21	51	animals	animal	NOUN
cana-1116	21	52	.	.	PUNCT
cana-1116	22	1	the	the	DET
cana-1116	22	2	category	category	NOUN
cana-1116	22	3	may	may	AUX
cana-1116	22	4	also	also	ADV
cana-1116	22	5	encompass	encompass	VERB
cana-1116	22	6	the	the	DET
cana-1116	22	7	m.	m.	NOUN
cana-1116	22	8	canettii	canettii	PROPN
cana-1116	22	9	clade	clade	PROPN
cana-1116	22	10	.	.	PUNCT
cana-1116	23	1	despite	despite	SCONJ
cana-1116	23	2	these	these	DET
cana-1116	23	3	reptiles	reptile	NOUN
cana-1116	23	4	,	,	PUNCT
cana-1116	23	5	although	although	SCONJ
cana-1116	23	6	variants	variant	NOUN
cana-1116	23	7	of	of	ADP
cana-1116	23	8	mtbc	mtbc	NOUN
cana-1116	23	9	are	be	AUX
cana-1116	23	10	terribly	terribly	ADV
cana-1116	23	11	similar	similar	ADJ
cana-1116	23	12	and	and	CCONJ
cana-1116	23	13	incorporated	incorporate	VERB
cana-1116	23	14	in	in	ADP
cana-1116	23	15	the	the	DET
cana-1116	23	16	phylogeny	phylogeny	NOUN
cana-1116	23	17	of	of	ADP
cana-1116	23	18	m.	m.	NOUN
cana-1116	23	19	tuberculosis	tuberculosis	NOUN
cana-1116	23	20	they	they	PRON
cana-1116	23	21	do	do	AUX
cana-1116	23	22	not	not	PART
cana-1116	23	23	especially	especially	ADV
cana-1116	23	24	merit	merit	VERB
cana-1116	23	25	the	the	DET
cana-1116	23	26	status	status	NOUN
cana-1116	23	27	of	of	ADP
cana-1116	23	28	subspecies	subspecie	NOUN
cana-1116	23	29	;	;	PUNCT
cana-1116	23	30	however	however	ADV
cana-1116	23	31	,	,	PUNCT
cana-1116	23	32	for	for	ADP
cana-1116	23	33	reasons	reason	NOUN
cana-1116	23	34	of	of	ADP
cana-1116	23	35	history	history	NOUN
cana-1116	23	36	,	,	PUNCT
cana-1116	23	37	they	they	PRON
cana-1116	23	38	eventually	eventually	ADV
cana-1116	23	39	received	receive	VERB
cana-1116	23	40	that	that	DET
cana-1116	23	41	designation	designation	NOUN
cana-1116	23	42	.	.	PUNCT
cana-1116	24	1	m.	m.	NOUN
cana-1116	24	2	prototuberculosis	prototuberculosis	NOUN
cana-1116	24	3	is	be	AUX
cana-1116	24	4	an	an	DET
cana-1116	24	5	individual	individual	NOUN
cana-1116	24	6	of	of	ADP
cana-1116	24	7	the	the	DET
cana-1116	24	8	distinct	distinct	ADJ
cana-1116	24	9	species	specie	NOUN
cana-1116	24	10	of	of	ADP
cana-1116	24	11	mycobacterium	mycobacterium	NOUN
cana-1116	24	12	that	that	PRON
cana-1116	24	13	exists	exist	VERB
cana-1116	24	14	in	in	ADP
cana-1116	24	15	easy	easy	ADJ
cana-1116	24	16	-	-	PUNCT
cana-1116	24	17	to	to	PART
cana-1116	24	18	-	-	PUNCT
cana-1116	24	19	colonize	colonize	VERB
cana-1116	24	20	colonies	colony	NOUN
cana-1116	24	21	,	,	PUNCT
cana-1116	24	22	commonly	commonly	ADV
cana-1116	24	23	referred	refer	VERB
cana-1116	24	24	to	to	ADP
cana-1116	24	25	as	as	SCONJ
cana-1116	24	26	the	the	DET
cana-1116	24	27	m.	m.	NOUN
cana-1116	24	28	canettii	canettii	PROPN
cana-1116	24	29	clade	clade	PROPN
cana-1116	24	30	.	.	PUNCT
cana-1116	25	1	they	they	PRON
cana-1116	25	2	produce	produce	VERB
cana-1116	25	3	several	several	ADJ
cana-1116	25	4	distinct	distinct	ADJ
cana-1116	25	5	species	specie	NOUN
cana-1116	25	6	whenever	whenever	SCONJ
cana-1116	25	7	they	they	PRON
cana-1116	25	8	reproduce	reproduce	VERB
cana-1116	25	9	,	,	PUNCT
cana-1116	25	10	resembling	resemble	VERB
cana-1116	25	11	the	the	DET
cana-1116	25	12	long	long	ADV
cana-1116	25	13	-	-	PUNCT
cana-1116	25	14	established	establish	VERB
cana-1116	25	15	representatives	representative	NOUN
cana-1116	25	16	of	of	ADP
cana-1116	25	17	the	the	DET
cana-1116	25	18	m.	m.	NOUN
cana-1116	25	19	tuberculosis	tuberculosis	NOUN
cana-1116	25	20	organization	organization	NOUN
cana-1116	25	21	.	.	PUNCT
cana-1116	26	1	all	all	DET
cana-1116	26	2	the	the	DET
cana-1116	26	3	currently	currently	ADV
cana-1116	26	4	accepted	accept	VERB
cana-1116	26	5	variations	variation	NOUN
cana-1116	26	6	of	of	ADP
cana-1116	26	7	such	such	ADJ
cana-1116	26	8	organisms	organism	NOUN
cana-1116	26	9	have	have	AUX
cana-1116	26	10	been	be	AUX
cana-1116	26	11	discovered	discover	VERB
cana-1116	26	12	in	in	ADP
cana-1116	26	13	the	the	DET
cana-1116	26	14	horn	horn	NOUN
cana-1116	26	15	of	of	ADP
cana-1116	26	16	africa	africa	PROPN
cana-1116	27	1	[	[	X
cana-1116	27	2	1	1	NUM
cana-1116	27	3	-	-	SYM
cana-1116	27	4	5	5	NUM
cana-1116	27	5	]	]	PUNCT
cana-1116	27	6	.	.	PUNCT
cana-1116	28	1	it	it	PRON
cana-1116	28	2	appears	appear	VERB
cana-1116	28	3	that	that	SCONJ
cana-1116	28	4	m.	m.	NOUN
cana-1116	28	5	canettii	canettii	PROPN
cana-1116	28	6	is	be	AUX
cana-1116	28	7	the	the	DET
cana-1116	28	8	primal	primal	ADJ
cana-1116	28	9	form	form	NOUN
cana-1116	28	10	of	of	ADP
cana-1116	28	11	tuberculosis	tuberculosis	NOUN
cana-1116	28	12	(	(	PUNCT
cana-1116	28	13	m.	m.	NOUN
cana-1116	28	14	tuberculosis	tuberculosis	NOUN
cana-1116	28	15	)	)	PUNCT
cana-1116	28	16	,	,	PUNCT
cana-1116	28	17	according	accord	VERB
cana-1116	28	18	to	to	ADP
cana-1116	28	19	the	the	DET
cana-1116	28	20	description	description	NOUN
cana-1116	28	21	from	from	ADP
cana-1116	28	22	1969	1969	NUM
cana-1116	28	23	.	.	PUNCT
cana-1116	29	1	the	the	DET
cana-1116	29	2	tuberculosis	tuberculosis	NOUN
cana-1116	29	3	bacteria	bacteria	NOUN
cana-1116	29	4	complex	complex	NOUN
cana-1116	29	5	's	's	PART
cana-1116	29	6	acknowledged	acknowledge	VERB
cana-1116	29	7	members	member	NOUN
cana-1116	29	8	all	all	PRON
cana-1116	29	9	spread	spread	VERB
cana-1116	29	10	genetically	genetically	ADV
cana-1116	29	11	[	[	X
cana-1116	29	12	6	6	NUM
cana-1116	29	13	-	-	SYM
cana-1116	29	14	10	10	NUM
cana-1116	29	15	]	]	PUNCT
cana-1116	29	16	.	.	PUNCT
cana-1116	30	1	this	this	DET
cana-1116	30	2	complex	complex	NOUN
cana-1116	30	3	's	's	PART
cana-1116	30	4	distinct	distinct	ADJ
cana-1116	30	5	species	specie	NOUN
cana-1116	30	6	relate	relate	VERB
cana-1116	30	7	to	to	ADP
cana-1116	30	8	multiple	multiple	ADJ
cana-1116	30	9	state	state	NOUN
cana-1116	30	10	poligo	poligo	ADJ
cana-1116	30	11	types	type	NOUN
cana-1116	30	12	.	.	PUNCT
cana-1116	31	1	approximately	approximately	ADV
cana-1116	31	2	40,000	40,000	NUM
cana-1116	31	3	and	and	CCONJ
cana-1116	31	4	70,000	70,000	NUM
cana-1116	31	5	years	year	NOUN
cana-1116	31	6	ago	ago	ADV
cana-1116	31	7	,	,	PUNCT
cana-1116	31	8	the	the	DET
cana-1116	31	9	m.	m.	NOUN
cana-1116	31	10	tuberculosis	tuberculosis	NOUN
cana-1116	31	11	complex	complex	NOUN
cana-1116	31	12	's	's	PART
cana-1116	31	13	latest	late	ADJ
cana-1116	31	14	common	common	ADJ
cana-1116	31	15	predecessor	predecessor	NOUN
cana-1116	31	16	originated	originate	VERB
cana-1116	31	17	and	and	CCONJ
cana-1116	31	18	m.	m.	NOUN
cana-1116	31	19	tuberculosis	tuberculosis	NOUN
cana-1116	31	20	evolved	evolve	VERB
cana-1116	31	21	together	together	ADV
cana-1116	31	22	with	with	ADP
cana-1116	31	23	human	human	ADJ
cana-1116	31	24	beings	being	NOUN
cana-1116	31	25	.	.	PUNCT
cana-1116	32	1	but	but	CCONJ
cana-1116	32	2	the	the	DET
cana-1116	32	3	findings	finding	NOUN
cana-1116	32	4	of	of	ADP
cana-1116	32	5	a	a	DET
cana-1116	32	6	follow	follow	VERB
cana-1116	32	7	-	-	PUNCT
cana-1116	32	8	up	up	ADP
cana-1116	32	9	study	study	NOUN
cana-1116	32	10	that	that	PRON
cana-1116	32	11	included	include	VERB
cana-1116	32	12	fragments	fragment	NOUN
cana-1116	32	13	of	of	ADP
cana-1116	32	14	3,000	3,000	NUM
cana-1116	32	15	-	-	PUNCT
cana-1116	32	16	year	year	NOUN
cana-1116	32	17	-	-	PUNCT
cana-1116	32	18	old	old	ADJ
cana-1116	32	19	peruvian	peruvian	ADJ
cana-1116	32	20	coffins	coffin	NOUN
cana-1116	32	21	were	be	AUX
cana-1116	32	22	used	use	VERB
cana-1116	32	23	for	for	ADP
cana-1116	32	24	extracting	extract	VERB
cana-1116	32	25	chromosomes	chromosome	NOUN
cana-1116	32	26	from	from	ADP
cana-1116	32	27	mycobacterium	mycobacterium	NOUN
cana-1116	32	28	tuberculosis	tuberculosis	NOUN
cana-1116	32	29	intricate	intricate	ADJ
cana-1116	32	30	those	those	PRON
cana-1116	32	31	who	who	PRON
cana-1116	32	32	belong	belong	VERB
cana-1116	32	33	and	and	CCONJ
cana-1116	32	34	the	the	DET
cana-1116	32	35	outcomes	outcome	NOUN
cana-1116	32	36	showed	show	VERB
cana-1116	32	37	substantial	substantial	ADJ
cana-1116	32	38	genomic	genomic	ADJ
cana-1116	32	39	abnormalities	abnormality	NOUN
cana-1116	32	40	[	[	X
cana-1116	32	41	11	11	NUM
cana-1116	32	42	-	-	SYM
cana-1116	32	43	15	15	NUM
cana-1116	32	44	]	]	PUNCT
cana-1116	32	45	.	.	PUNCT
cana-1116	33	1	the	the	DET
cana-1116	33	2	most	most	ADV
cana-1116	33	3	contemporary	contemporary	ADJ
cana-1116	33	4	ancestral	ancestral	ADJ
cana-1116	33	5	species	specie	NOUN
cana-1116	33	6	of	of	ADP
cana-1116	33	7	m.	m.	NOUN
cana-1116	33	8	tuberculosis	tuberculosis	NOUN
cana-1116	33	9	intricate	intricate	ADJ
cana-1116	33	10	was	be	AUX
cana-1116	33	11	between	between	ADP
cana-1116	33	12	40,000	40,000	NUM
cana-1116	33	13	and	and	CCONJ
cana-1116	33	14	70,000	70,000	NUM
cana-1116	33	15	years	year	NOUN
cana-1116	33	16	old	old	ADJ
cana-1116	33	17	that	that	PRON
cana-1116	33	18	would	would	AUX
cana-1116	33	19	suggest	suggest	VERB
cana-1116	33	20	a	a	DET
cana-1116	33	21	significantly	significantly	ADV
cana-1116	33	22	more	more	ADV
cana-1116	33	23	prevalent	prevalent	ADJ
cana-1116	33	24	predecessor	predecessor	NOUN
cana-1116	33	25	that	that	PRON
cana-1116	33	26	originated	originate	VERB
cana-1116	33	27	possibly	possibly	ADV
cana-1116	33	28	as	as	ADV
cana-1116	33	29	recently	recently	ADV
cana-1116	33	30	as	as	ADP
cana-1116	33	31	6,000	6,000	NUM
cana-1116	33	32	years	year	NOUN
cana-1116	33	33	ago	ago	ADV
cana-1116	33	34	.	.	PUNCT
cana-1116	34	1	this	this	PRON
cana-1116	34	2	would	would	AUX
cana-1116	34	3	require	require	VERB
cana-1116	34	4	an	an	DET
cana-1116	34	5	embryonic	embryonic	ADJ
cana-1116	34	6	development	development	NOUN
cana-1116	34	7	rate	rate	NOUN
cana-1116	34	8	that	that	PRON
cana-1116	34	9	is	be	AUX
cana-1116	34	10	significantly	significantly	ADV
cana-1116	34	11	lower	low	ADJ
cana-1116	34	12	than	than	ADP
cana-1116	34	13	the	the	DET
cana-1116	34	14	figures	figure	NOUN
cana-1116	34	15	derived	derive	VERB
cana-1116	34	16	from	from	ADP
cana-1116	34	17	heterochromia	heterochromia	PROPN
cana-1116	34	18	's	's	PART
cana-1116	34	19	samples	sample	NOUN
cana-1116	34	20	'	'	PART
cana-1116	34	21	genomic	genomic	NOUN
cana-1116	34	22	analyses	analysis	NOUN
cana-1116	34	23	.	.	PUNCT
cana-1116	35	1	the	the	DET
cana-1116	35	2	investigation	investigation	NOUN
cana-1116	35	3	of	of	ADP
cana-1116	35	4	over	over	ADP
cana-1116	35	5	3000	3000	NUM
cana-1116	35	6	m.	m.	NOUN
cana-1116	35	7	bovis	bovi	VERB
cana-1116	35	8	strains	strain	NOUN
cana-1116	35	9	from	from	ADP
cana-1116	35	10	35	35	NUM
cana-1116	35	11	different	different	ADJ
cana-1116	35	12	countries	country	NOUN
cana-1116	35	13	showed	show	VERB
cana-1116	35	14	that	that	SCONJ
cana-1116	35	15	africa	africa	PROPN
cana-1116	35	16	is	be	AUX
cana-1116	35	17	where	where	SCONJ
cana-1116	35	18	this	this	DET
cana-1116	35	19	species	specie	NOUN
cana-1116	35	20	first	first	ADV
cana-1116	35	21	originated	originate	VERB
cana-1116	36	1	[	[	X
cana-1116	36	2	16	16	NUM
cana-1116	36	3	-	-	SYM
cana-1116	36	4	20	20	NUM
cana-1116	36	5	]	]	PUNCT
cana-1116	36	6	.	.	PUNCT
cana-1116	37	1	two	two	NUM
cana-1116	37	2	distinct	distinct	ADJ
cana-1116	37	3	stories	story	NOUN
cana-1116	37	4	are	be	AUX
cana-1116	37	5	currently	currently	ADV
cana-1116	37	6	being	be	AUX
cana-1116	37	7	told	tell	VERB
cana-1116	37	8	at	at	ADP
cana-1116	37	9	the	the	DET
cana-1116	37	10	same	same	ADJ
cana-1116	37	11	time	time	NOUN
cana-1116	37	12	about	about	ADP
cana-1116	37	13	the	the	DET
cana-1116	37	14	age	age	NOUN
cana-1116	37	15	of	of	ADP
cana-1116	37	16	mtbc	mtbc	NOUN
cana-1116	37	17	and	and	CCONJ
cana-1116	37	18	how	how	SCONJ
cana-1116	37	19	it	it	PRON
cana-1116	37	20	evolved	evolve	VERB
cana-1116	37	21	and	and	CCONJ
cana-1116	37	22	spread	spread	VERB
cana-1116	37	23	among	among	ADP
cana-1116	37	24	humans	human	NOUN
cana-1116	37	25	over	over	ADP
cana-1116	37	26	time	time	NOUN
cana-1116	37	27	.	.	PUNCT
cana-1116	38	1	in	in	ADP
cana-1116	38	2	one	one	NUM
cana-1116	38	3	study	study	NOUN
cana-1116	38	4	,	,	PUNCT
cana-1116	38	5	the	the	DET
cana-1116	38	6	phylogenies	phylogeny	NOUN
cana-1116	38	7	of	of	ADP
cana-1116	38	8	m.	m.	NOUN
cana-1116	38	9	tuberculosis	tuberculosis	NOUN
cana-1116	38	10	and	and	CCONJ
cana-1116	38	11	the	the	DET
cana-1116	38	12	human	human	ADJ
cana-1116	38	13	genome	genome	NOUN
cana-1116	38	14	,	,	PUNCT
cana-1116	38	15	which	which	PRON
cana-1116	38	16	contains	contain	VERB
cana-1116	38	17	mitochondria	mitochondria	NOUN
cana-1116	38	18	,	,	PUNCT
cana-1116	38	19	showed	show	VERB
cana-1116	38	20	a	a	DET
cana-1116	38	21	great	great	ADJ
cana-1116	38	22	deal	deal	NOUN
cana-1116	38	23	of	of	ADP
cana-1116	38	24	resemblance	resemblance	NOUN
cana-1116	38	25	[	[	X
cana-1116	38	26	21	21	NUM
cana-1116	38	27	]	]	PUNCT
cana-1116	38	28	.	.	PUNCT
cana-1116	39	1	the	the	DET
cana-1116	39	2	research	research	NOUN
cana-1116	39	3	study	study	NOUN
cana-1116	39	4	states	state	VERB
cana-1116	39	5	that	that	SCONJ
cana-1116	39	6	m.	m.	NOUN
cana-1116	39	7	tuberculosis	tuberculosis	NOUN
cana-1116	39	8	emerged	emerge	VERB
cana-1116	39	9	in	in	ADP
cana-1116	39	10	africa	africa	PROPN
cana-1116	39	11	.	.	PUNCT
cana-1116	40	1	just	just	ADV
cana-1116	40	2	like	like	SCONJ
cana-1116	40	3	individuals	individual	NOUN
cana-1116	40	4	do	do	VERB
cana-1116	40	5	and	and	CCONJ
cana-1116	40	6	spread	spread	VERB
cana-1116	40	7	throughout	throughout	ADP
cana-1116	40	8	the	the	DET
cana-1116	40	9	world	world	NOUN
cana-1116	40	10	by	by	ADP
cana-1116	40	11	bearing	bear	VERB
cana-1116	40	12	with	with	ADP
cana-1116	40	13	it	it	PRON
cana-1116	40	14	contemporary	contemporary	ADJ
cana-1116	40	15	forms	form	NOUN
cana-1116	40	16	of	of	ADP
cana-1116	40	17	human	human	ADJ
cana-1116	40	18	anatomy	anatomy	NOUN
cana-1116	40	19	.	.	PUNCT
cana-1116	41	1	the	the	DET
cana-1116	41	2	study	study	NOUN
cana-1116	41	3	determined	determine	VERB
cana-1116	41	4	that	that	SCONJ
cana-1116	41	5	the	the	DET
cana-1116	41	6	oldest	oldest	ADV
cana-1116	41	7	known	know	VERB
cana-1116	41	8	instance	instance	NOUN
cana-1116	41	9	of	of	ADP
cana-1116	41	10	mtbc	mtbc	PROPN
cana-1116	41	11	developed	develop	VERB
cana-1116	41	12	between	between	ADP
cana-1116	41	13	40,000	40,000	NUM
cana-1116	41	14	and	and	CCONJ
cana-1116	41	15	70,000	70,000	NUM
cana-1116	41	16	years	year	NOUN
cana-1116	41	17	ago	ago	ADV
cana-1116	41	18	by	by	ADP
cana-1116	41	19	comparing	compare	VERB
cana-1116	41	20	this	this	DET
cana-1116	41	21	tale	tale	NOUN
cana-1116	41	22	with	with	ADP
cana-1116	41	23	the	the	DET
cana-1116	41	24	rate	rate	NOUN
cana-1116	41	25	of	of	ADP
cana-1116	41	26	mutations	mutation	NOUN
cana-1116	41	27	in	in	ADP
cana-1116	41	28	m.	m.	NOUN
cana-1116	41	29	tuberculosis	tuberculosis	NOUN
cana-1116	41	30	.	.	PUNCT
cana-1116	42	1	utilizing	utilize	VERB
cana-1116	42	2	this	this	DET
cana-1116	42	3	chronology	chronology	NOUN
cana-1116	42	4	,	,	PUNCT
cana-1116	42	5	the	the	DET
cana-1116	42	6	research	research	NOUN
cana-1116	42	7	revealed	reveal	VERB
cana-1116	42	8	that	that	SCONJ
cana-1116	42	9	the	the	DET
cana-1116	42	10	effective	effective	ADJ
cana-1116	42	11	population	population	NOUN
cana-1116	42	12	size	size	NOUN
cana-1116	42	13	of	of	ADP
cana-1116	42	14	mycobacterium	mycobacterium	NOUN
cana-1116	42	15	tuberculosis	tuberculosis	NOUN
cana-1116	42	16	increased	increase	VERB
cana-1116	42	17	throughout	throughout	ADP
cana-1116	42	18	the	the	DET
cana-1116	42	19	period	period	NOUN
cana-1116	42	20	of	of	ADP
cana-1116	42	21	the	the	DET
cana-1116	42	22	neolithic	neolithic	ADJ
cana-1116	42	23	biological	biological	ADJ
cana-1116	42	24	transition	transition	NOUN
cana-1116	42	25	,	,	PUNCT
cana-1116	42	26	commencing	commence	VERB
cana-1116	42	27	approximately	approximately	ADV
cana-1116	42	28	10,000	10,000	NUM
cana-1116	42	29	years	year	NOUN
cana-1116	42	30	old	old	ADJ
cana-1116	42	31	.	.	PUNCT
cana-1116	43	1	as	as	ADV
cana-1116	43	2	well	well	ADV
cana-1116	43	3	as	as	ADP
cana-1116	43	4	the	the	DET
cana-1116	43	5	idea	idea	NOUN
cana-1116	43	6	of	of	ADP
cana-1116	43	7	the	the	DET
cana-1116	43	8	tuberculosis	tuberculosis	NOUN
cana-1116	43	9	strain	strain	NOUN
cana-1116	43	10	evolved	evolve	VERB
cana-1116	43	11	to	to	PART
cana-1116	43	12	adapt	adapt	VERB
cana-1116	43	13	to	to	ADP
cana-1116	43	14	shifting	shift	VERB
cana-1116	43	15	populations	population	NOUN
cana-1116	43	16	of	of	ADP
cana-1116	43	17	people	people	NOUN
cana-1116	43	18	and	and	CCONJ
cana-1116	43	19	that	that	SCONJ
cana-1116	43	20	a	a	DET
cana-1116	43	21	substantial	substantial	ADJ
cana-1116	43	22	rise	rise	NOUN
cana-1116	43	23	in	in	ADP
cana-1116	43	24	the	the	DET
cana-1116	43	25	overall	overall	ADJ
cana-1116	43	26	number	number	NOUN
cana-1116	43	27	of	of	ADP
cana-1116	43	28	human	human	ADJ
cana-1116	43	29	victims	victim	NOUN
cana-1116	43	30	has	have	AUX
cana-1116	43	31	contributed	contribute	VERB
cana-1116	43	32	,	,	PUNCT
cana-1116	43	33	at	at	ADP
cana-1116	43	34	least	least	ADJ
cana-1116	43	35	in	in	ADP
cana-1116	43	36	part	part	NOUN
cana-1116	43	37	to	to	ADP
cana-1116	43	38	the	the	DET
cana-1116	43	39	pathogen	pathogen	NOUN
cana-1116	43	40	's	's	PART
cana-1116	43	41	success	success	NOUN
cana-1116	43	42	in	in	ADP
cana-1116	43	43	evolution	evolution	NOUN
cana-1116	43	44	.	.	PUNCT
cana-1116	44	1	it	it	PRON
cana-1116	44	2	was	be	AUX
cana-1116	44	3	additionally	additionally	ADV
cana-1116	44	4	established	establish	VERB
cana-1116	44	5	that	that	SCONJ
cana-1116	44	6	the	the	DET
cana-1116	44	7	tb	tb	NOUN
cana-1116	44	8	lineage	lineage	NOUN
cana-1116	44	9	that	that	PRON
cana-1116	44	10	an	an	DET
cana-1116	44	11	individual	individual	NOUN
cana-1116	44	12	carries	carry	VERB
cana-1116	44	13	is	be	AUX
cana-1116	44	14	predicted	predict	VERB
cana-1116	44	15	by	by	ADP
cana-1116	44	16	the	the	DET
cana-1116	44	17	geographic	geographic	ADJ
cana-1116	44	18	region	region	NOUN
cana-1116	44	19	of	of	ADP
cana-1116	44	20	origin	origin	NOUN
cana-1116	44	21	of	of	ADP
cana-1116	44	22	their	their	PRON
cana-1116	44	23	human	human	ADJ
cana-1116	44	24	host	host	NOUN
cana-1116	44	25	preceding	precede	VERB
cana-1116	44	26	their	their	PRON
cana-1116	44	27	transcontinental	transcontinental	ADJ
cana-1116	44	28	airline	airline	NOUN
cana-1116	44	29	migration	migration	NOUN
cana-1116	44	30	[	[	X
cana-1116	44	31	22	22	NUM
cana-1116	44	32	]	]	PUNCT
cana-1116	44	33	.	.	PUNCT
cana-1116	45	1	this	this	DET
cana-1116	45	2	conclusion	conclusion	NOUN
cana-1116	45	3	might	might	AUX
cana-1116	45	4	arise	arise	VERB
cana-1116	45	5	from	from	ADP
cana-1116	45	6	interactions	interaction	NOUN
cana-1116	45	7	among	among	ADP
cana-1116	45	8	individuals	individual	NOUN
cana-1116	45	9	impacted	impact	VERB
cana-1116	45	10	by	by	ADP
cana-1116	45	11	common	common	ADJ
cana-1116	45	12	cultural	cultural	ADJ
cana-1116	45	13	and	and	CCONJ
cana-1116	45	14	historical	historical	ADJ
cana-1116	45	15	circumstances	circumstance	NOUN
cana-1116	45	16	or	or	CCONJ
cana-1116	45	17	from	from	ADP
cana-1116	45	18	a	a	DET
cana-1116	45	19	stable	stable	ADJ
cana-1116	45	20	relationship	relationship	NOUN
cana-1116	45	21	that	that	PRON
cana-1116	45	22	exists	exist	VERB
cana-1116	45	23	between	between	ADP
cana-1116	45	24	host	host	NOUN
cana-1116	45	25	populations	population	NOUN
cana-1116	45	26	with	with	ADP
cana-1116	45	27	tuberculosis	tuberculosis	NOUN
cana-1116	45	28	generations	generation	NOUN
cana-1116	45	29	of	of	ADP
cana-1116	45	30	organisms	organism	NOUN
cana-1116	45	31	[	[	X
cana-1116	45	32	23	23	NUM
cana-1116	45	33	]	]	PUNCT
cana-1116	45	34	.	.	PUNCT
cana-1116	46	1	communications	communication	NOUN
cana-1116	46	2	on	on	ADP
cana-1116	46	3	applied	apply	VERB
cana-1116	46	4	nonlinear	nonlinear	ADJ
cana-1116	46	5	analysis	analysis	NOUN
cana-1116	46	6	issn	issn	NOUN
cana-1116	46	7	:	:	PUNCT
cana-1116	46	8	1074	1074	NUM
cana-1116	46	9	-	-	PUNCT
cana-1116	46	10	133x	133x	NUM
cana-1116	46	11	vol	vol	NOUN
cana-1116	46	12	31	31	NUM
cana-1116	46	13	no	no	NOUN
cana-1116	46	14	.	.	PUNCT
cana-1116	47	1	6s	6s	NUM
cana-1116	47	2	(	(	PUNCT
cana-1116	47	3	2024	2024	NUM
cana-1116	47	4	)	)	PUNCT
cana-1116	47	5	16	16	NUM
cana-1116	47	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	47	7	in	in	ADP
cana-1116	47	8	general	general	ADJ
cana-1116	47	9	,	,	PUNCT
cana-1116	47	10	the	the	DET
cana-1116	47	11	data	datum	NOUN
cana-1116	47	12	provides	provide	VERB
cana-1116	47	13	greater	great	ADJ
cana-1116	47	14	trust	trust	NOUN
cana-1116	47	15	for	for	ADP
cana-1116	47	16	this	this	DET
cana-1116	47	17	reasonable	reasonable	ADJ
cana-1116	47	18	assessment	assessment	NOUN
cana-1116	47	19	of	of	ADP
cana-1116	47	20	the	the	DET
cana-1116	47	21	most	most	ADV
cana-1116	47	22	recent	recent	ADJ
cana-1116	47	23	evolutionary	evolutionary	ADJ
cana-1116	47	24	lineages	lineage	NOUN
cana-1116	47	25	of	of	ADP
cana-1116	47	26	the	the	DET
cana-1116	47	27	mtbc	mtbc	NOUN
cana-1116	47	28	's	's	PART
cana-1116	47	29	chronological	chronological	ADJ
cana-1116	47	30	age	age	NOUN
cana-1116	47	31	.	.	PUNCT
cana-1116	48	1	a	a	DET
cana-1116	48	2	vertical	vertical	ADJ
cana-1116	48	3	transfer	transfer	NOUN
cana-1116	48	4	of	of	ADP
cana-1116	48	5	genes	gene	NOUN
cana-1116	48	6	does	do	AUX
cana-1116	48	7	not	not	PART
cana-1116	48	8	take	take	VERB
cana-1116	48	9	precedence	precedence	NOUN
cana-1116	48	10	over	over	ADP
cana-1116	48	11	dna	dna	PROPN
cana-1116	48	12	propagation	propagation	NOUN
cana-1116	48	13	because	because	SCONJ
cana-1116	48	14	tuberculosis	tuberculosis	NOUN
cana-1116	48	15	(	(	PUNCT
cana-1116	48	16	m.	m.	NOUN
cana-1116	48	17	tuberculosis	tuberculosis	NOUN
cana-1116	48	18	)	)	PUNCT
cana-1116	48	19	is	be	AUX
cana-1116	48	20	a	a	DET
cana-1116	48	21	clonal	clonal	ADJ
cana-1116	48	22	organism	organism	NOUN
cana-1116	48	23	.	.	PUNCT
cana-1116	49	1	despite	despite	SCONJ
cana-1116	49	2	the	the	DET
cana-1116	49	3	slow	slow	ADJ
cana-1116	49	4	evolution	evolution	NOUN
cana-1116	49	5	of	of	ADP
cana-1116	49	6	tuberculosis	tuberculosis	NOUN
cana-1116	49	7	is	be	AUX
cana-1116	49	8	recent	recent	ADJ
cana-1116	49	9	emergence	emergence	NOUN
cana-1116	49	10	and	and	CCONJ
cana-1116	49	11	spread	spread	VERB
cana-1116	49	12	of	of	ADP
cana-1116	49	13	bacteria	bacteria	NOUN
cana-1116	49	14	that	that	PRON
cana-1116	49	15	are	be	AUX
cana-1116	49	16	resistant	resistant	ADJ
cana-1116	49	17	to	to	ADP
cana-1116	49	18	antibiotics	antibiotic	NOUN
cana-1116	49	19	in	in	ADP
cana-1116	49	20	the	the	DET
cana-1116	49	21	epidemic	epidemic	NOUN
cana-1116	49	22	pose	pose	VERB
cana-1116	49	23	a	a	DET
cana-1116	49	24	rising	rise	VERB
cana-1116	49	25	threat	threat	NOUN
cana-1116	49	26	to	to	ADP
cana-1116	49	27	global	global	ADJ
cana-1116	49	28	health	health	NOUN
cana-1116	49	29	.	.	PUNCT
cana-1116	50	1	antibiotic	antibiotic	ADJ
cana-1116	50	2	-	-	PUNCT
cana-1116	50	3	resistant	resistant	ADJ
cana-1116	50	4	tuberculosis	tuberculosis	NOUN
cana-1116	50	5	(	(	PUNCT
cana-1116	50	6	the	the	DET
cana-1116	50	7	world	world	PROPN
cana-1116	50	8	healthcare	healthcare	PROPN
cana-1116	50	9	organization	organization	PROPN
cana-1116	50	10	stated	state	VERB
cana-1116	50	11	that	that	SCONJ
cana-1116	50	12	3.4	3.4	NUM
cana-1116	50	13	%	%	NOUN
cana-1116	50	14	of	of	ADP
cana-1116	50	15	newly	newly	ADV
cana-1116	50	16	identified	identify	VERB
cana-1116	50	17	cases	case	NOUN
cana-1116	50	18	and	and	CCONJ
cana-1116	50	19	18	18	NUM
cana-1116	50	20	%	%	NOUN
cana-1116	50	21	of	of	ADP
cana-1116	50	22	cases	case	NOUN
cana-1116	50	23	had	have	VERB
cana-1116	50	24	tuberculosis	tuberculosis	NOUN
cana-1116	50	25	.	.	PUNCT
cana-1116	51	1	that	that	PRON
cana-1116	51	2	had	have	AUX
cana-1116	51	3	undergone	undergo	VERB
cana-1116	51	4	prior	prior	ADJ
cana-1116	51	5	chemotherapeutic	chemotherapeutic	ADJ
cana-1116	51	6	treatment	treatment	NOUN
cana-1116	51	7	in	in	ADP
cana-1116	51	8	2019	2019	NUM
cana-1116	51	9	.	.	PUNCT
cana-1116	52	1	the	the	DET
cana-1116	52	2	rate	rate	NOUN
cana-1116	52	3	at	at	ADP
cana-1116	52	4	which	which	PRON
cana-1116	52	5	tuberculosis	tuberculosis	NOUN
cana-1116	52	6	that	that	PRON
cana-1116	52	7	is	be	AUX
cana-1116	52	8	resistant	resistant	ADJ
cana-1116	52	9	to	to	ADP
cana-1116	52	10	drugs	drug	NOUN
cana-1116	52	11	develops	develop	VERB
cana-1116	52	12	varies	varie	NOUN
cana-1116	52	13	depending	depend	VERB
cana-1116	52	14	on	on	ADP
cana-1116	52	15	where	where	SCONJ
cana-1116	52	16	it	it	PRON
cana-1116	52	17	occurs	occur	VERB
cana-1116	52	18	.	.	PUNCT
cana-1116	53	1	russia	russia	PROPN
cana-1116	53	2	,	,	PUNCT
cana-1116	53	3	south	south	PROPN
cana-1116	53	4	africa	africa	PROPN
cana-1116	53	5	,	,	PUNCT
cana-1116	53	6	china	china	PROPN
cana-1116	53	7	,	,	PUNCT
cana-1116	53	8	and	and	CCONJ
cana-1116	53	9	india	india	PROPN
cana-1116	54	1	[	[	X
cana-1116	54	2	24	24	NUM
cana-1116	54	3	-	-	SYM
cana-1116	54	4	27	27	NUM
cana-1116	54	5	]	]	PUNCT
cana-1116	54	6	.	.	PUNCT
cana-1116	55	1	the	the	DET
cana-1116	55	2	hallmark	hallmark	NOUN
cana-1116	55	3	of	of	ADP
cana-1116	55	4	multidrug	multidrug	NOUN
cana-1116	55	5	-	-	PUNCT
cana-1116	55	6	resistant	resistant	ADJ
cana-1116	55	7	tuberculosis	tuberculosis	NOUN
cana-1116	55	8	disease	disease	NOUN
cana-1116	55	9	(	(	PUNCT
cana-1116	55	10	mdr	mdr	PROPN
cana-1116	55	11	-	-	NOUN
cana-1116	55	12	tb	tb	NOUN
cana-1116	55	13	)	)	PUNCT
cana-1116	55	14	is	be	AUX
cana-1116	55	15	an	an	DET
cana-1116	55	16	inability	inability	NOUN
cana-1116	55	17	to	to	PART
cana-1116	55	18	tolerate	tolerate	VERB
cana-1116	55	19	at	at	ADP
cana-1116	55	20	least	least	ADJ
cana-1116	55	21	the	the	DET
cana-1116	55	22	two	two	NUM
cana-1116	55	23	first	first	ADJ
cana-1116	55	24	-	-	PUNCT
cana-1116	55	25	line	line	NOUN
cana-1116	55	26	medications	medication	NOUN
cana-1116	55	27	,	,	PUNCT
cana-1116	55	28	rifampin	rifampin	NOUN
cana-1116	55	29	and	and	CCONJ
cana-1116	55	30	isoniazid	isoniazid	NOUN
cana-1116	55	31	.	.	PUNCT
cana-1116	56	1	the	the	DET
cana-1116	56	2	significantly	significantly	ADV
cana-1116	56	3	modest	modest	ADJ
cana-1116	56	4	therapy	therapy	NOUN
cana-1116	56	5	success	success	NOUN
cana-1116	56	6	rate	rate	NOUN
cana-1116	56	7	of	of	ADP
cana-1116	56	8	52	52	NUM
cana-1116	56	9	%	%	NOUN
cana-1116	56	10	is	be	AUX
cana-1116	56	11	linked	link	VERB
cana-1116	56	12	to	to	ADP
cana-1116	56	13	mdr	mdr	PROPN
cana-1116	56	14	.	.	PUNCT
cana-1116	57	1	there	there	PRON
cana-1116	57	2	is	be	VERB
cana-1116	57	3	a	a	DET
cana-1116	57	4	significant	significant	ADJ
cana-1116	57	5	connection	connection	NOUN
cana-1116	57	6	between	between	ADP
cana-1116	57	7	isoniazid	isoniazid	NOUN
cana-1116	57	8	and	and	CCONJ
cana-1116	57	9	rifampin	rifampin	VERB
cana-1116	57	10	resistance	resistance	NOUN
cana-1116	57	11	;	;	PUNCT
cana-1116	57	12	in	in	ADP
cana-1116	57	13	2019	2019	NUM
cana-1116	57	14	,	,	PUNCT
cana-1116	57	15	78	78	NUM
cana-1116	57	16	%	%	NOUN
cana-1116	57	17	of	of	ADP
cana-1116	57	18	tb	tb	ADP
cana-1116	57	19	cases	case	NOUN
cana-1116	57	20	that	that	PRON
cana-1116	57	21	were	be	AUX
cana-1116	57	22	reported	report	VERB
cana-1116	57	23	to	to	PART
cana-1116	57	24	be	be	AUX
cana-1116	57	25	resistant	resistant	ADJ
cana-1116	57	26	to	to	PART
cana-1116	57	27	rifampin	rifampin	VERB
cana-1116	57	28	also	also	ADV
cana-1116	57	29	had	have	VERB
cana-1116	57	30	isoniazid	isoniazid	NOUN
cana-1116	57	31	resistance	resistance	NOUN
cana-1116	58	1	[	[	X
cana-1116	58	2	28	28	NUM
cana-1116	58	3	-	-	SYM
cana-1116	58	4	30	30	NUM
cana-1116	58	5	]	]	PUNCT
cana-1116	58	6	.	.	PUNCT
cana-1116	59	1	the	the	DET
cana-1116	59	2	main	main	ADJ
cana-1116	59	3	cause	cause	NOUN
cana-1116	59	4	of	of	ADP
cana-1116	59	5	rifampin	rifampin	NOUN
cana-1116	59	6	resistance	resistance	NOUN
cana-1116	59	7	is	be	AUX
cana-1116	59	8	polymorphisms	polymorphism	NOUN
cana-1116	59	9	that	that	PRON
cana-1116	59	10	confer	confer	VERB
cana-1116	59	11	resistance	resistance	NOUN
cana-1116	59	12	in	in	ADP
cana-1116	59	13	the	the	DET
cana-1116	59	14	rifampin	rifampin	NOUN
cana-1116	59	15	-	-	PUNCT
cana-1116	59	16	resistance	resistance	NOUN
cana-1116	59	17	predicting	predict	VERB
cana-1116	59	18	region	region	NOUN
cana-1116	59	19	(	(	PUNCT
cana-1116	59	20	rrdr	rrdr	PROPN
cana-1116	59	21	)	)	PUNCT
cana-1116	59	22	of	of	ADP
cana-1116	59	23	the	the	DET
cana-1116	59	24	rpob	rpob	ADJ
cana-1116	59	25	genes	gene	NOUN
cana-1116	59	26	.	.	PUNCT
cana-1116	60	1	the	the	DET
cana-1116	60	2	codons	codon	NOUN
cana-1116	60	3	531	531	NUM
cana-1116	60	4	,	,	PUNCT
cana-1116	60	5	526	526	NUM
cana-1116	60	6	,	,	PUNCT
cana-1116	60	7	and	and	CCONJ
cana-1116	60	8	516	516	NUM
cana-1116	60	9	in	in	ADP
cana-1116	60	10	rrdr	rrdr	NOUN
cana-1116	60	11	are	be	AUX
cana-1116	60	12	the	the	DET
cana-1116	60	13	ones	one	NOUN
cana-1116	60	14	with	with	ADP
cana-1116	60	15	the	the	DET
cana-1116	60	16	highest	high	ADJ
cana-1116	60	17	prevalence	prevalence	NOUN
cana-1116	60	18	of	of	ADP
cana-1116	60	19	observed	observed	ADJ
cana-1116	60	20	mutations	mutation	NOUN
cana-1116	60	21	.	.	PUNCT
cana-1116	61	1	however	however	ADV
cana-1116	61	2	,	,	PUNCT
cana-1116	61	3	resistancegranting	resistancegrante	VERB
cana-1116	61	4	polymorphisms	polymorphism	NOUN
cana-1116	61	5	that	that	PRON
cana-1116	61	6	are	be	AUX
cana-1116	61	7	more	more	ADV
cana-1116	61	8	elusive	elusive	ADJ
cana-1116	61	9	have	have	AUX
cana-1116	61	10	recently	recently	ADV
cana-1116	61	11	been	be	AUX
cana-1116	61	12	identified	identify	VERB
cana-1116	61	13	.	.	PUNCT
cana-1116	62	1	isoniazid	isoniazid	PROPN
cana-1116	62	2	functionality	functionality	NOUN
cana-1116	62	3	is	be	AUX
cana-1116	62	4	achieved	achieve	VERB
cana-1116	62	5	by	by	ADP
cana-1116	62	6	means	mean	NOUN
cana-1116	62	7	of	of	ADP
cana-1116	62	8	the	the	DET
cana-1116	62	9	enoyl	enoyl	NOUN
cana-1116	62	10	-	-	PUNCT
cana-1116	62	11	acyl	acyl	NOUN
cana-1116	62	12	transfer	transfer	NOUN
cana-1116	62	13	protein	protein	NOUN
cana-1116	62	14	(	(	PUNCT
cana-1116	62	15	acp)-reductase	acp)-reductase	NOUN
cana-1116	62	16	that	that	PRON
cana-1116	62	17	depends	depend	VERB
cana-1116	62	18	on	on	ADP
cana-1116	62	19	nadh	nadh	NOUN
cana-1116	62	20	,	,	PUNCT
cana-1116	62	21	thereby	thereby	ADV
cana-1116	62	22	decreasing	decrease	VERB
cana-1116	62	23	the	the	DET
cana-1116	62	24	process	process	NOUN
cana-1116	62	25	of	of	ADP
cana-1116	62	26	synthesis	synthesis	NOUN
cana-1116	62	27	of	of	ADP
cana-1116	62	28	mycolic	mycolic	ADJ
cana-1116	62	29	acid	acid	NOUN
cana-1116	62	30	.	.	PUNCT
cana-1116	63	1	the	the	DET
cana-1116	63	2	gene	gene	NOUN
cana-1116	63	3	expressing	express	VERB
cana-1116	63	4	this	this	PRON
cana-1116	63	5	is	be	AUX
cana-1116	63	6	inha	inha	NOUN
cana-1116	63	7	.	.	PUNCT
cana-1116	64	1	therefore	therefore	ADV
cana-1116	64	2	,	,	PUNCT
cana-1116	64	3	the	the	DET
cana-1116	64	4	main	main	ADJ
cana-1116	64	5	cause	cause	NOUN
cana-1116	64	6	of	of	ADP
cana-1116	64	7	isoniazid	isoniazid	NOUN
cana-1116	64	8	sensitivity	sensitivity	NOUN
cana-1116	64	9	is	be	AUX
cana-1116	64	10	primarily	primarily	ADV
cana-1116	64	11	the	the	DET
cana-1116	64	12	consequence	consequence	NOUN
cana-1116	64	13	of	of	ADP
cana-1116	64	14	polymorphisms	polymorphism	NOUN
cana-1116	64	15	in	in	ADP
cana-1116	64	16	the	the	DET
cana-1116	64	17	glutathione	glutathione	NOUN
cana-1116	64	18	peroxidase	peroxidase	NOUN
cana-1116	64	19	gene	gene	NOUN
cana-1116	64	20	katg	katg	PROPN
cana-1116	64	21	,	,	PUNCT
cana-1116	64	22	or	or	CCONJ
cana-1116	64	23	its	its	PRON
cana-1116	64	24	promoter	promoter	NOUN
cana-1116	64	25	region	region	NOUN
cana-1116	64	26	,	,	PUNCT
cana-1116	64	27	which	which	PRON
cana-1116	64	28	is	be	AUX
cana-1116	64	29	essential	essential	ADJ
cana-1116	64	30	for	for	ADP
cana-1116	64	31	isoniazid	isoniazid	NOUN
cana-1116	64	32	stimulation	stimulation	NOUN
cana-1116	64	33	and	and	CCONJ
cana-1116	64	34	the	the	DET
cana-1116	64	35	increasing	increase	VERB
cana-1116	64	36	number	number	NOUN
cana-1116	64	37	of	of	ADP
cana-1116	64	38	cases	case	NOUN
cana-1116	64	39	of	of	ADP
cana-1116	64	40	multidrug	multidrug	NOUN
cana-1116	64	41	resistance	resistance	NOUN
cana-1116	64	42	(	(	PUNCT
cana-1116	64	43	mdr	mdr	PROPN
cana-1116	64	44	)	)	PUNCT
cana-1116	64	45	in	in	ADP
cana-1116	64	46	tuberculosis	tuberculosis	NOUN
cana-1116	64	47	presents	present	VERB
cana-1116	64	48	a	a	DET
cana-1116	64	49	threat	threat	NOUN
cana-1116	64	50	to	to	ADP
cana-1116	64	51	public	public	ADJ
cana-1116	64	52	health	health	NOUN
cana-1116	64	53	,	,	PUNCT
cana-1116	64	54	as	as	SCONJ
cana-1116	64	55	demonstrated	demonstrate	VERB
cana-1116	64	56	by	by	ADP
cana-1116	64	57	the	the	DET
cana-1116	64	58	emergence	emergence	NOUN
cana-1116	64	59	of	of	ADP
cana-1116	64	60	pre	pre	NOUN
cana-1116	64	61	and	and	CCONJ
cana-1116	64	62	substantially	substantially	ADV
cana-1116	64	63	resistant	resistant	ADJ
cana-1116	64	64	to	to	ADP
cana-1116	64	65	medicines	medicine	NOUN
cana-1116	64	66	(	(	PUNCT
cana-1116	64	67	pre	pre	NOUN
cana-1116	64	68	-	-	NOUN
cana-1116	64	69	xdr	xdr	NOUN
cana-1116	64	70	)	)	PUNCT
cana-1116	64	71	and	and	CCONJ
cana-1116	64	72	xdr	xdr	PROPN
cana-1116	64	73	-	-	PUNCT
cana-1116	64	74	tb	tb	NOUN
cana-1116	64	75	strains	strain	NOUN
cana-1116	64	76	of	of	ADP
cana-1116	64	77	the	the	DET
cana-1116	64	78	bacterial	bacterial	ADJ
cana-1116	64	79	infection	infection	NOUN
cana-1116	64	80	.	.	PUNCT
cana-1116	65	1	xdrtb	xdrtb	PROPN
cana-1116	65	2	has	have	AUX
cana-1116	65	3	been	be	AUX
cana-1116	65	4	defined	define	VERB
cana-1116	65	5	by	by	ADP
cana-1116	65	6	developing	develop	VERB
cana-1116	65	7	resistance	resistance	NOUN
cana-1116	65	8	to	to	ADP
cana-1116	65	9	at	at	ADV
cana-1116	65	10	least	least	ADJ
cana-1116	65	11	another	another	DET
cana-1116	65	12	front	front	ADJ
cana-1116	65	13	-	-	PUNCT
cana-1116	65	14	line	line	NOUN
cana-1116	65	15	drug	drug	NOUN
cana-1116	65	16	,	,	PUNCT
cana-1116	65	17	second	second	ADJ
cana-1116	65	18	-	-	PUNCT
cana-1116	65	19	line	line	NOUN
cana-1116	65	20	fluoroquinolones	fluoroquinolone	NOUN
cana-1116	65	21	,	,	PUNCT
cana-1116	65	22	isoniazid	isoniazid	NOUN
cana-1116	65	23	and	and	CCONJ
cana-1116	65	24	rifampin	rifampin	VERB
cana-1116	65	25	.	.	PUNCT
cana-1116	66	1	as	as	ADP
cana-1116	66	2	such	such	ADJ
cana-1116	66	3	,	,	PUNCT
cana-1116	66	4	the	the	DET
cana-1116	66	5	establishment	establishment	NOUN
cana-1116	66	6	of	of	ADP
cana-1116	66	7	alternative	alternative	ADJ
cana-1116	66	8	therapeutic	therapeutic	ADJ
cana-1116	66	9	measures	measure	NOUN
cana-1116	66	10	is	be	AUX
cana-1116	66	11	essential	essential	ADJ
cana-1116	66	12	.	.	PUNCT
cana-1116	67	1	the	the	DET
cana-1116	67	2	capability	capability	NOUN
cana-1116	67	3	of	of	ADP
cana-1116	67	4	tuberculosis	tuberculosis	NOUN
cana-1116	67	5	(	(	PUNCT
cana-1116	67	6	m.	m.	NOUN
cana-1116	67	7	tuberculosis	tuberculosis	NOUN
cana-1116	67	8	)	)	PUNCT
cana-1116	67	9	to	to	PART
cana-1116	67	10	withstand	withstand	VERB
cana-1116	67	11	medications	medication	NOUN
cana-1116	67	12	is	be	AUX
cana-1116	67	13	depending	depend	VERB
cana-1116	67	14	on	on	ADP
cana-1116	67	15	the	the	DET
cana-1116	67	16	special	special	ADJ
cana-1116	67	17	cell	cell	NOUN
cana-1116	67	18	wall	wall	NOUN
cana-1116	67	19	it	it	PRON
cana-1116	67	20	contains	contain	VERB
cana-1116	67	21	.	.	PUNCT
cana-1116	68	1	mycobacterial	mycobacterial	ADJ
cana-1116	68	2	organisms	organism	NOUN
cana-1116	68	3	are	be	AUX
cana-1116	68	4	saturated	saturate	VERB
cana-1116	68	5	with	with	ADP
cana-1116	68	6	mycolic	mycolic	ADJ
cana-1116	68	7	acid	acid	NOUN
cana-1116	68	8	,	,	PUNCT
cana-1116	68	9	a	a	DET
cana-1116	68	10	type	type	NOUN
cana-1116	68	11	of	of	ADP
cana-1116	68	12	long	long	ADJ
cana-1116	68	13	-	-	PUNCT
cana-1116	68	14	chain	chain	NOUN
cana-1116	68	15	lipid	lipid	NOUN
cana-1116	68	16	create	create	VERB
cana-1116	68	17	an	an	DET
cana-1116	68	18	extremely	extremely	ADV
cana-1116	68	19	strong	strong	ADJ
cana-1116	68	20	and	and	CCONJ
cana-1116	68	21	not	not	PART
cana-1116	68	22	-	-	PUNCT
cana-1116	68	23	soluble	soluble	ADJ
cana-1116	68	24	barrier	barrier	NOUN
cana-1116	68	25	.	.	PUNCT
cana-1116	69	1	thus	thus	ADV
cana-1116	69	2	,	,	PUNCT
cana-1116	69	3	its	its	PRON
cana-1116	69	4	production	production	NOUN
cana-1116	69	5	is	be	AUX
cana-1116	69	6	targeted	target	VERB
cana-1116	69	7	by	by	ADP
cana-1116	69	8	several	several	ADJ
cana-1116	69	9	antibacterial	antibacterial	ADJ
cana-1116	69	10	agents	agent	NOUN
cana-1116	69	11	,	,	PUNCT
cana-1116	69	12	including	include	VERB
cana-1116	69	13	isoniazid	isoniazid	NOUN
cana-1116	69	14	still	still	ADV
cana-1116	69	15	there	there	PRON
cana-1116	69	16	has	have	AUX
cana-1116	69	17	been	be	AUX
cana-1116	69	18	opposition	opposition	NOUN
cana-1116	69	19	of	of	ADP
cana-1116	69	20	them	they	PRON
cana-1116	69	21	.	.	PUNCT
cana-1116	70	1	mycobacterial	mycobacterial	ADJ
cana-1116	70	2	membrane	membrane	NOUN
cana-1116	70	3	protein	protein	NOUN
cana-1116	70	4	large	large	ADJ
cana-1116	70	5	3	3	NUM
cana-1116	70	6	is	be	AUX
cana-1116	70	7	an	an	DET
cana-1116	70	8	intriguing	intriguing	ADJ
cana-1116	70	9	new	new	ADJ
cana-1116	70	10	pharmacological	pharmacological	ADJ
cana-1116	70	11	approach	approach	NOUN
cana-1116	70	12	.	.	PUNCT
cana-1116	71	1	transmembrane	transmembrane	ADJ
cana-1116	71	2	proteins	protein	NOUN
cana-1116	71	3	are	be	AUX
cana-1116	71	4	composed	compose	VERB
cana-1116	71	5	of	of	ADP
cana-1116	71	6	proteins	protein	NOUN
cana-1116	71	7	that	that	PRON
cana-1116	71	8	are	be	AUX
cana-1116	71	9	referred	refer	VERB
cana-1116	71	10	to	to	ADP
cana-1116	71	11	as	as	SCONJ
cana-1116	71	12	mycobacterial	mycobacterial	ADJ
cana-1116	71	13	protein	protein	NOUN
cana-1116	71	14	membrane	membrane	NOUN
cana-1116	71	15	large	large	ADJ
cana-1116	71	16	(	(	PUNCT
cana-1116	71	17	mmpl	mmpl	NOUN
cana-1116	71	18	)	)	PUNCT
cana-1116	71	19	complexes	complex	NOUN
cana-1116	71	20	are	be	AUX
cana-1116	71	21	essential	essential	ADJ
cana-1116	71	22	to	to	PART
cana-1116	71	23	produce	produce	VERB
cana-1116	71	24	the	the	DET
cana-1116	71	25	cell	cell	NOUN
cana-1116	71	26	wall	wall	NOUN
cana-1116	71	27	and	and	CCONJ
cana-1116	71	28	the	the	DET
cana-1116	71	29	movement	movement	NOUN
cana-1116	71	30	of	of	ADP
cana-1116	71	31	related	related	ADJ
cana-1116	71	32	lipids	lipid	NOUN
cana-1116	71	33	.	.	PUNCT
cana-1116	72	1	mmpl3	mmpl3	NOUN
cana-1116	72	2	is	be	AUX
cana-1116	72	3	the	the	DET
cana-1116	72	4	most	most	ADV
cana-1116	72	5	crucial	crucial	ADJ
cana-1116	72	6	of	of	ADP
cana-1116	72	7	these	these	PRON
cana-1116	72	8	;	;	PUNCT
cana-1116	72	9	its	its	PRON
cana-1116	72	10	knockout	knockout	NOUN
cana-1116	72	11	has	have	AUX
cana-1116	72	12	been	be	AUX
cana-1116	72	13	demonstrated	demonstrate	VERB
cana-1116	72	14	to	to	PART
cana-1116	72	15	be	be	AUX
cana-1116	72	16	bactericidal	bactericidal	ADJ
cana-1116	72	17	.	.	PUNCT
cana-1116	73	1	mmpl3	mmpl3	ADJ
cana-1116	73	2	medications	medication	NOUN
cana-1116	73	3	exhibit	exhibit	VERB
cana-1116	73	4	potential	potential	ADJ
cana-1116	73	5	as	as	ADP
cana-1116	73	6	alternate	alternate	ADJ
cana-1116	73	7	treatment	treatment	NOUN
cana-1116	73	8	options	option	NOUN
cana-1116	73	9	because	because	SCONJ
cana-1116	73	10	of	of	ADP
cana-1116	73	11	their	their	PRON
cana-1116	73	12	fundamental	fundamental	ADJ
cana-1116	73	13	features	feature	NOUN
cana-1116	73	14	.	.	PUNCT
cana-1116	74	1	throughout	throughout	ADP
cana-1116	74	2	the	the	DET
cana-1116	74	3	time	time	NOUN
cana-1116	74	4	of	of	ADP
cana-1116	74	5	resistant	resistant	ADJ
cana-1116	74	6	antibiotics	antibiotic	NOUN
cana-1116	74	7	.	.	PUNCT
cana-1116	75	1	transportation	transportation	NOUN
cana-1116	75	2	of	of	ADP
cana-1116	75	3	a	a	DET
cana-1116	75	4	substance	substance	NOUN
cana-1116	75	5	called	call	VERB
cana-1116	75	6	mono	mono	PROPN
cana-1116	75	7	mycolate	mycolate	NOUN
cana-1116	75	8	,	,	PUNCT
cana-1116	75	9	an	an	DET
cana-1116	75	10	essential	essential	ADJ
cana-1116	75	11	lipid	lipid	NOUN
cana-1116	75	12	for	for	ADP
cana-1116	75	13	cell	cell	NOUN
cana-1116	75	14	walls	wall	NOUN
cana-1116	75	15	,	,	PUNCT
cana-1116	75	16	across	across	ADP
cana-1116	75	17	the	the	DET
cana-1116	75	18	membrane	membrane	NOUN
cana-1116	75	19	of	of	ADP
cana-1116	75	20	plasma	plasma	NOUN
cana-1116	75	21	has	have	AUX
cana-1116	75	22	been	be	AUX
cana-1116	75	23	found	find	VERB
cana-1116	75	24	to	to	PART
cana-1116	75	25	be	be	AUX
cana-1116	75	26	impaired	impair	VERB
cana-1116	75	27	by	by	ADP
cana-1116	75	28	mmpl3	mmpl3	ADJ
cana-1116	75	29	suppression	suppression	NOUN
cana-1116	75	30	.	.	PUNCT
cana-1116	76	1	resistant	resistant	ADJ
cana-1116	76	2	alterations	alteration	NOUN
cana-1116	76	3	correlate	correlate	VERB
cana-1116	76	4	with	with	ADP
cana-1116	76	5	the	the	DET
cana-1116	76	6	transmembrane	transmembrane	ADJ
cana-1116	76	7	domain	domain	NOUN
cana-1116	76	8	,	,	PUNCT
cana-1116	76	9	according	accord	VERB
cana-1116	76	10	to	to	ADP
cana-1116	76	11	the	the	DET
cana-1116	76	12	structure	structure	NOUN
cana-1116	76	13	of	of	ADP
cana-1116	76	14	mmpl3	mmpl3	NOUN
cana-1116	76	15	that	that	PRON
cana-1116	76	16	was	be	AUX
cana-1116	76	17	recently	recently	ADV
cana-1116	76	18	reported	report	VERB
cana-1116	76	19	.	.	PUNCT
cana-1116	77	1	notwithstanding	notwithstanding	ADP
cana-1116	77	2	finding	find	VERB
cana-1116	77	3	evidence	evidence	NOUN
cana-1116	77	4	of	of	ADP
cana-1116	77	5	resistance	resistance	NOUN
cana-1116	77	6	to	to	ADP
cana-1116	77	7	pre	pre	ADJ
cana-1116	77	8	-	-	ADJ
cana-1116	77	9	clinical	clinical	ADJ
cana-1116	77	10	mmpl3	mmpl3	NOUN
cana-1116	77	11	medications	medication	NOUN
cana-1116	77	12	,	,	PUNCT
cana-1116	77	13	a	a	DET
cana-1116	77	14	low	low	ADJ
cana-1116	77	15	level	level	NOUN
cana-1116	77	16	of	of	ADP
cana-1116	77	17	environmental	environmental	ADJ
cana-1116	77	18	resistance	resistance	NOUN
cana-1116	77	19	was	be	AUX
cana-1116	77	20	found	find	VERB
cana-1116	77	21	through	through	ADP
cana-1116	77	22	examination	examination	NOUN
cana-1116	77	23	of	of	ADP
cana-1116	77	24	the	the	DET
cana-1116	77	25	extensive	extensive	ADJ
cana-1116	77	26	mutational	mutational	ADJ
cana-1116	77	27	landscape	landscape	NOUN
cana-1116	77	28	.	.	PUNCT
cana-1116	78	1	this	this	PRON
cana-1116	78	2	suggests	suggest	VERB
cana-1116	78	3	that	that	SCONJ
cana-1116	78	4	should	should	AUX
cana-1116	78	5	they	they	PRON
cana-1116	78	6	become	become	VERB
cana-1116	78	7	available	available	ADJ
cana-1116	78	8	,	,	PUNCT
cana-1116	78	9	mmpl3	mmpl3	ADJ
cana-1116	78	10	inhibitors	inhibitor	NOUN
cana-1116	78	11	,	,	PUNCT
cana-1116	78	12	which	which	PRON
cana-1116	78	13	are	be	AUX
cana-1116	78	14	presently	presently	ADV
cana-1116	78	15	undergoing	undergo	VERB
cana-1116	78	16	research	research	NOUN
cana-1116	78	17	studies	study	NOUN
cana-1116	78	18	are	be	AUX
cana-1116	78	19	likely	likely	ADJ
cana-1116	78	20	to	to	ADP
cana-1116	78	21	communications	communication	NOUN
cana-1116	78	22	on	on	ADP
cana-1116	78	23	applied	apply	VERB
cana-1116	78	24	nonlinear	nonlinear	ADJ
cana-1116	78	25	analysis	analysis	NOUN
cana-1116	78	26	issn	issn	NOUN
cana-1116	78	27	:	:	PUNCT
cana-1116	78	28	1074	1074	NUM
cana-1116	78	29	-	-	PUNCT
cana-1116	78	30	133x	133x	NUM
cana-1116	78	31	vol	vol	NOUN
cana-1116	78	32	31	31	NUM
cana-1116	78	33	no	no	NOUN
cana-1116	78	34	.	.	PUNCT
cana-1116	79	1	6s	6s	NUM
cana-1116	79	2	(	(	PUNCT
cana-1116	79	3	2024	2024	NUM
cana-1116	79	4	)	)	PUNCT
cana-1116	79	5	17	17	NUM
cana-1116	80	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	80	2	encounter	encounter	VERB
cana-1116	80	3	minimal	minimal	ADJ
cana-1116	80	4	resistance	resistance	NOUN
cana-1116	80	5	.	.	PUNCT
cana-1116	81	1	a	a	DET
cana-1116	81	2	glimmer	glimmer	NOUN
cana-1116	81	3	of	of	ADP
cana-1116	81	4	hope	hope	NOUN
cana-1116	81	5	in	in	ADP
cana-1116	81	6	the	the	DET
cana-1116	81	7	struggle	struggle	NOUN
cana-1116	81	8	against	against	ADP
cana-1116	81	9	the	the	DET
cana-1116	81	10	growing	grow	VERB
cana-1116	81	11	epidemic	epidemic	NOUN
cana-1116	81	12	of	of	ADP
cana-1116	81	13	tuberculosis	tuberculosis	NOUN
cana-1116	81	14	is	be	AUX
cana-1116	81	15	also	also	ADV
cana-1116	81	16	provided	provide	VERB
cana-1116	81	17	by	by	ADP
cana-1116	81	18	the	the	DET
cana-1116	81	19	fact	fact	NOUN
cana-1116	81	20	that	that	SCONJ
cana-1116	81	21	many	many	ADJ
cana-1116	81	22	different	different	ADJ
cana-1116	81	23	mmpl3	mmpl3	NOUN
cana-1116	81	24	inhibitors	inhibitor	NOUN
cana-1116	81	25	interact	interact	VERB
cana-1116	81	26	well	well	ADV
cana-1116	81	27	with	with	ADP
cana-1116	81	28	other	other	ADJ
cana-1116	81	29	antitubercular	antitubercular	ADJ
cana-1116	81	30	pharmaceuticals	pharmaceutical	NOUN
cana-1116	81	31	[	[	PUNCT
cana-1116	81	32	31	31	NUM
cana-1116	81	33	-	-	SYM
cana-1116	81	34	33	33	NUM
cana-1116	81	35	]	]	PUNCT
cana-1116	81	36	.	.	PUNCT
cana-1116	82	1	2	2	X
cana-1116	82	2	.	.	X
cana-1116	82	3	methodology	methodology	NOUN
cana-1116	82	4	in	in	ADP
cana-1116	82	5	this	this	DET
cana-1116	82	6	paper	paper	NOUN
cana-1116	82	7	,	,	PUNCT
cana-1116	82	8	we	we	PRON
cana-1116	82	9	utilized	utilize	VERB
cana-1116	82	10	the	the	DET
cana-1116	82	11	non	non	ADJ
cana-1116	82	12	-	-	ADJ
cana-1116	82	13	linear	linear	ADJ
cana-1116	82	14	ode	ode	ADJ
cana-1116	82	15	systems	system	NOUN
cana-1116	82	16	of	of	ADP
cana-1116	82	17	the	the	DET
cana-1116	82	18	model	model	NOUN
cana-1116	82	19	𝑆𝑇𝐵-𝑉𝑇𝐵-𝐸𝑇𝐵-𝐼𝑇𝐵-𝐶𝑇𝐵-𝑅𝑇𝐵.	𝑆𝑇𝐵-𝑉𝑇𝐵-𝐸𝑇𝐵-𝐼𝑇𝐵-𝐶𝑇𝐵-𝑅𝑇𝐵.	PROPN
cana-1116	82	20	n(t	n(t	PROPN
cana-1116	82	21	)	)	PUNCT
cana-1116	82	22	is	be	AUX
cana-1116	82	23	the	the	DET
cana-1116	82	24	total	total	ADJ
cana-1116	82	25	population	population	NOUN
cana-1116	82	26	and	and	CCONJ
cana-1116	82	27	they	they	PRON
cana-1116	82	28	stand	stand	VERB
cana-1116	82	29	for	for	ADP
cana-1116	82	30	susceptible	susceptible	ADJ
cana-1116	82	31	population	population	NOUN
cana-1116	82	32	,	,	PUNCT
cana-1116	82	33	vaccinated	vaccinated	ADJ
cana-1116	82	34	population	population	NOUN
cana-1116	82	35	,	,	PUNCT
cana-1116	82	36	latently	latently	ADV
cana-1116	82	37	infected	infect	VERB
cana-1116	82	38	population	population	NOUN
cana-1116	82	39	,	,	PUNCT
cana-1116	82	40	rate	rate	NOUN
cana-1116	82	41	of	of	ADP
cana-1116	82	42	induced	induced	ADJ
cana-1116	82	43	population	population	NOUN
cana-1116	82	44	,	,	PUNCT
cana-1116	82	45	quarantine	quarantine	NOUN
cana-1116	82	46	population	population	NOUN
cana-1116	82	47	and	and	CCONJ
cana-1116	82	48	rate	rate	NOUN
cana-1116	82	49	of	of	ADP
cana-1116	82	50	recover	recover	NOUN
cana-1116	82	51	population	population	NOUN
cana-1116	82	52	.	.	PUNCT
cana-1116	83	1	appropriately	appropriately	ADV
cana-1116	83	2	the	the	DET
cana-1116	83	3	recruitment	recruitment	NOUN
cana-1116	83	4	rate	rate	NOUN
cana-1116	83	5	of	of	ADP
cana-1116	83	6	individuals	individual	NOUN
cana-1116	83	7	is	be	AUX
cana-1116	83	8	represented	represent	VERB
cana-1116	83	9	at	at	ADP
cana-1116	83	10	λ	λ	PROPN
cana-1116	83	11	in	in	ADP
cana-1116	83	12	the	the	DET
cana-1116	83	13	susceptibility	susceptibility	NOUN
cana-1116	83	14	compartment	compartment	NOUN
cana-1116	83	15	framework	framework	NOUN
cana-1116	83	16	.	.	PUNCT
cana-1116	84	1	for	for	ADP
cana-1116	84	2	some	some	DET
cana-1116	84	3	people	people	NOUN
cana-1116	84	4	,	,	PUNCT
cana-1116	84	5	they	they	PRON
cana-1116	84	6	choose	choose	VERB
cana-1116	84	7	to	to	PART
cana-1116	84	8	live	live	VERB
cana-1116	84	9	a	a	DET
cana-1116	84	10	solitary	solitary	ADJ
cana-1116	84	11	life	life	NOUN
cana-1116	84	12	,	,	PUNCT
cana-1116	84	13	because	because	SCONJ
cana-1116	84	14	of	of	ADP
cana-1116	84	15	this	this	PRON
cana-1116	84	16	,	,	PUNCT
cana-1116	84	17	none	none	NOUN
cana-1116	84	18	of	of	ADP
cana-1116	84	19	these	these	DET
cana-1116	84	20	people	people	NOUN
cana-1116	84	21	contracted	contract	VERB
cana-1116	84	22	the	the	DET
cana-1116	84	23	illness	illness	NOUN
cana-1116	84	24	.	.	PUNCT
cana-1116	85	1	since	since	SCONJ
cana-1116	85	2	awareness	awareness	NOUN
cana-1116	85	3	is	be	AUX
cana-1116	85	4	thought	think	VERB
cana-1116	85	5	to	to	PART
cana-1116	85	6	be	be	AUX
cana-1116	85	7	essential	essential	ADJ
cana-1116	85	8	for	for	ADP
cana-1116	85	9	curing	cure	VERB
cana-1116	85	10	the	the	DET
cana-1116	85	11	disease	disease	NOUN
cana-1116	85	12	,	,	PUNCT
cana-1116	85	13	there	there	PRON
cana-1116	85	14	is	be	VERB
cana-1116	85	15	also	also	ADV
cana-1116	85	16	a	a	DET
cana-1116	85	17	protective	protective	ADJ
cana-1116	85	18	treatment	treatment	NOUN
cana-1116	85	19	(	(	PUNCT
cana-1116	85	20	consciousness	consciousness	NOUN
cana-1116	85	21	)	)	PUNCT
cana-1116	85	22	compartment	compartment	NOUN
cana-1116	85	23	protecting	protect	VERB
cana-1116	85	24	cognizant	cognizant	ADJ
cana-1116	85	25	individuals	individual	NOUN
cana-1116	85	26	.	.	PUNCT
cana-1116	86	1	latently	latently	ADV
cana-1116	86	2	exposed	expose	VERB
cana-1116	86	3	people	people	NOUN
cana-1116	86	4	are	be	AUX
cana-1116	86	5	suffering	suffer	VERB
cana-1116	86	6	from	from	ADP
cana-1116	86	7	a	a	DET
cana-1116	86	8	latent	latent	NOUN
cana-1116	86	9	tuberculosis	tuberculosis	NOUN
cana-1116	86	10	infection	infection	NOUN
cana-1116	86	11	,	,	PUNCT
cana-1116	86	12	meaning	mean	VERB
cana-1116	86	13	they	they	PRON
cana-1116	86	14	do	do	AUX
cana-1116	86	15	not	not	PART
cana-1116	86	16	actively	actively	ADV
cana-1116	86	17	exhibit	exhibit	VERB
cana-1116	86	18	the	the	DET
cana-1116	86	19	disease	disease	NOUN
cana-1116	86	20	;	;	PUNCT
cana-1116	86	21	furthermore	furthermore	ADV
cana-1116	86	22	,	,	PUNCT
cana-1116	86	23	those	those	PRON
cana-1116	86	24	from	from	ADP
cana-1116	86	25	the	the	DET
cana-1116	86	26	susceptibility	susceptibility	NOUN
cana-1116	86	27	compartments	compartment	NOUN
cana-1116	86	28	are	be	AUX
cana-1116	86	29	𝛾	𝛾	NOUN
cana-1116	86	30	at	at	ADP
cana-1116	86	31	a	a	DET
cana-1116	86	32	risk	risk	NOUN
cana-1116	86	33	of	of	ADP
cana-1116	86	34	decreasing	decrease	VERB
cana-1116	86	35	vaccination	vaccination	NOUN
cana-1116	86	36	-	-	PUNCT
cana-1116	86	37	induced	induce	VERB
cana-1116	86	38	infection	infection	NOUN
cana-1116	86	39	risk	risk	NOUN
cana-1116	86	40	.	.	PUNCT
cana-1116	87	1	the	the	DET
cana-1116	87	2	pace	pace	NOUN
cana-1116	87	3	of	of	ADP
cana-1116	87	4	vaccination	vaccination	NOUN
cana-1116	87	5	transitions	transition	NOUN
cana-1116	87	6	among	among	ADP
cana-1116	87	7	people	people	NOUN
cana-1116	87	8	𝜉	𝜉	NOUN
cana-1116	87	9	who	who	PRON
cana-1116	87	10	are	be	AUX
cana-1116	87	11	susceptible	susceptible	ADJ
cana-1116	87	12	.	.	PUNCT
cana-1116	88	1	the	the	DET
cana-1116	88	2	people	people	NOUN
cana-1116	88	3	's	's	PART
cana-1116	88	4	vaccination	vaccination	NOUN
cana-1116	88	5	stage	stage	NOUN
cana-1116	88	6	is	be	AUX
cana-1116	88	7	identified	identify	VERB
cana-1116	88	8	by	by	ADP
cana-1116	88	9	the	the	DET
cana-1116	88	10	rate	rate	NOUN
cana-1116	88	11	of	of	ADP
cana-1116	88	12	transmission	transmission	NOUN
cana-1116	88	13	variable	variable	ADJ
cana-1116	88	14	𝜎𝛽	𝜎𝛽	NOUN
cana-1116	88	15	,	,	PUNCT
cana-1116	88	16	the	the	DET
cana-1116	88	17	tb	tb	ADP
cana-1116	88	18	people	people	NOUN
cana-1116	88	19	's	's	PART
cana-1116	88	20	progression	progression	NOUN
cana-1116	88	21	rate	rate	NOUN
cana-1116	88	22	𝛽𝑢	𝛽𝑢	PROPN
cana-1116	88	23	,	,	PUNCT
cana-1116	88	24	the	the	DET
cana-1116	88	25	vaccine	vaccine	NOUN
cana-1116	88	26	wears	wear	VERB
cana-1116	88	27	off	off	ADP
cana-1116	88	28	and	and	CCONJ
cana-1116	88	29	they	they	PRON
cana-1116	88	30	are	be	AUX
cana-1116	88	31	exposed	expose	VERB
cana-1116	88	32	to	to	ADP
cana-1116	88	33	the	the	DET
cana-1116	88	34	disease	disease	NOUN
cana-1116	88	35	again	again	ADV
cana-1116	88	36	at	at	ADP
cana-1116	88	37	the	the	DET
cana-1116	88	38	rate	rate	NOUN
cana-1116	88	39	of	of	ADP
cana-1116	88	40	𝜃.	𝜃.	NOUN
cana-1116	88	41	is	be	AUX
cana-1116	88	42	the	the	DET
cana-1116	88	43	lack	lack	NOUN
cana-1116	88	44	of	of	ADP
cana-1116	88	45	vaccination	vaccination	NOUN
cana-1116	88	46	inducing	induce	VERB
cana-1116	88	47	a	a	DET
cana-1116	88	48	latent	latent	NOUN
cana-1116	88	49	increase	increase	NOUN
cana-1116	88	50	in	in	ADP
cana-1116	88	51	the	the	DET
cana-1116	88	52	exogenous	exogenous	ADJ
cana-1116	88	53	dissemination	dissemination	NOUN
cana-1116	88	54	rate	rate	NOUN
cana-1116	88	55	.	.	PUNCT
cana-1116	89	1	tb	tb	ADP
cana-1116	89	2	progression	progression	NOUN
cana-1116	89	3	rate	rate	NOUN
cana-1116	89	4	and	and	CCONJ
cana-1116	89	5	re	re	NOUN
cana-1116	89	6	-	-	NOUN
cana-1116	89	7	infection	infection	NOUN
cana-1116	89	8	rate	rate	NOUN
cana-1116	89	9	between	between	ADP
cana-1116	89	10	treated	treat	VERB
cana-1116	89	11	individuals	individual	NOUN
cana-1116	89	12	.	.	PUNCT
cana-1116	90	1	the	the	DET
cana-1116	90	2	individuals	individual	NOUN
cana-1116	90	3	who	who	PRON
cana-1116	90	4	are	be	AUX
cana-1116	90	5	inside	inside	ADP
cana-1116	90	6	the	the	DET
cana-1116	90	7	space	space	NOUN
cana-1116	90	8	are	be	AUX
cana-1116	90	9	given	give	VERB
cana-1116	90	10	protective	protective	ADJ
cana-1116	90	11	treatment	treatment	NOUN
cana-1116	90	12	to	to	PART
cana-1116	90	13	make	make	VERB
cana-1116	90	14	certain	certain	ADJ
cana-1116	90	15	that	that	SCONJ
cana-1116	90	16	the	the	DET
cana-1116	90	17	recovered	recovered	ADJ
cana-1116	90	18	people	people	NOUN
cana-1116	90	19	get	get	AUX
cana-1116	90	20	transferred	transfer	VERB
cana-1116	90	21	to	to	ADP
cana-1116	90	22	the	the	DET
cana-1116	90	23	compartment	compartment	NOUN
cana-1116	90	24	where	where	SCONJ
cana-1116	90	25	they	they	PRON
cana-1116	90	26	are	be	AUX
cana-1116	90	27	.	.	PUNCT
cana-1116	91	1	a	a	DET
cana-1116	91	2	conscious	conscious	ADJ
cana-1116	91	3	person	person	NOUN
cana-1116	91	4	has	have	AUX
cana-1116	91	5	also	also	ADV
cana-1116	91	6	been	be	AUX
cana-1116	91	7	viewed	view	VERB
cana-1116	91	8	as	as	ADP
cana-1116	91	9	an	an	DET
cana-1116	91	10	individual	individual	NOUN
cana-1116	91	11	who	who	PRON
cana-1116	91	12	consented	consent	VERB
cana-1116	91	13	to	to	ADP
cana-1116	91	14	this	this	DET
cana-1116	91	15	treatment	treatment	NOUN
cana-1116	91	16	.	.	PUNCT
cana-1116	92	1	the	the	DET
cana-1116	92	2	endogenous	endogenous	ADJ
cana-1116	92	3	re	re	NOUN
cana-1116	92	4	-	-	NOUN
cana-1116	92	5	infection𝛽𝑞	infection𝛽𝑞	NOUN
cana-1116	92	6	,	,	PUNCT
cana-1116	92	7	the	the	DET
cana-1116	92	8	rate	rate	NOUN
cana-1116	92	9	of	of	ADP
cana-1116	92	10	𝛽𝑝reinfection	𝛽𝑝reinfection	NOUN
cana-1116	92	11	from	from	ADP
cana-1116	92	12	outside	outside	ADV
cana-1116	92	13	and	and	CCONJ
cana-1116	92	14	the	the	DET
cana-1116	92	15	disease	disease	NOUN
cana-1116	92	16	-	-	PUNCT
cana-1116	92	17	induced	induce	VERB
cana-1116	92	18	people	people	NOUN
cana-1116	92	19	and	and	CCONJ
cana-1116	92	20	recovery	recovery	NOUN
cana-1116	92	21	people	people	NOUN
cana-1116	92	22	represented	represent	VERB
cana-1116	92	23	at	at	ADP
cana-1116	92	24	the	the	DET
cana-1116	92	25	rate	rate	NOUN
cana-1116	92	26	of	of	ADP
cana-1116	92	27	𝜋	𝜋	NOUN
cana-1116	92	28	times	time	NOUN
cana-1116	92	29	of	of	ADP
cana-1116	92	30	tb	tb	ADP
cana-1116	92	31	people	people	NOUN
cana-1116	92	32	is	be	AUX
cana-1116	92	33	controlled	control	VERB
cana-1116	92	34	.	.	PUNCT
cana-1116	93	1	the	the	DET
cana-1116	93	2	rate	rate	NOUN
cana-1116	93	3	of	of	ADP
cana-1116	93	4	𝜏	𝜏	DET
cana-1116	93	5	times	time	NOUN
cana-1116	93	6	of	of	ADP
cana-1116	93	7	infected	infect	VERB
cana-1116	93	8	tb	tb	ADP
cana-1116	93	9	people	people	NOUN
cana-1116	93	10	is	be	AUX
cana-1116	93	11	recovered	recover	VERB
cana-1116	93	12	successfully	successfully	ADV
cana-1116	93	13	by	by	ADP
cana-1116	93	14	quarantine	quarantine	NOUN
cana-1116	93	15	.	.	PUNCT
cana-1116	94	1	since	since	SCONJ
cana-1116	94	2	quarantine	quarantine	NOUN
cana-1116	94	3	and	and	CCONJ
cana-1116	94	4	the	the	DET
cana-1116	94	5	individuals	individual	NOUN
cana-1116	94	6	are	be	AUX
cana-1116	94	7	completely	completely	ADV
cana-1116	94	8	rebounding	rebound	VERB
cana-1116	94	9	from	from	ADP
cana-1116	94	10	the	the	DET
cana-1116	94	11	transmission	transmission	NOUN
cana-1116	94	12	among	among	ADP
cana-1116	94	13	those	those	PRON
cana-1116	94	14	who	who	PRON
cana-1116	94	15	have	have	AUX
cana-1116	94	16	been	be	AUX
cana-1116	94	17	treated	treat	VERB
cana-1116	94	18	.	.	PUNCT
cana-1116	95	1	one	one	NUM
cana-1116	95	2	hundred	hundred	NUM
cana-1116	95	3	and	and	CCONJ
cana-1116	95	4	ninety	ninety	NUM
cana-1116	95	5	-	-	PUNCT
cana-1116	95	6	nine	nine	NUM
cana-1116	95	7	out	out	ADP
cana-1116	95	8	of	of	ADP
cana-1116	95	9	every	every	DET
cana-1116	95	10	100	100	NUM
cana-1116	95	11	tb	tb	ADP
cana-1116	95	12	patients	patient	NOUN
cana-1116	95	13	recuperate	recuperate	VERB
cana-1116	95	14	and	and	CCONJ
cana-1116	95	15	are	be	AUX
cana-1116	95	16	completely	completely	ADV
cana-1116	95	17	healed	heal	VERB
cana-1116	95	18	.	.	PUNCT
cana-1116	96	1	in	in	ADP
cana-1116	96	2	this	this	DET
cana-1116	96	3	part	part	NOUN
cana-1116	96	4	,	,	PUNCT
cana-1116	96	5	the	the	DET
cana-1116	96	6	six	six	NUM
cana-1116	96	7	distinct	distinct	ADJ
cana-1116	96	8	groups	group	NOUN
cana-1116	96	9	were	be	AUX
cana-1116	96	10	created	create	VERB
cana-1116	96	11	,	,	PUNCT
cana-1116	96	12	the	the	DET
cana-1116	96	13	next	next	ADJ
cana-1116	96	14	-	-	PUNCT
cana-1116	96	15	generation	generation	NOUN
cana-1116	96	16	matrix	matrix	NOUN
cana-1116	96	17	approach	approach	NOUN
cana-1116	96	18	was	be	AUX
cana-1116	96	19	utilized	utilize	VERB
cana-1116	96	20	to	to	PART
cana-1116	96	21	determine	determine	VERB
cana-1116	96	22	the	the	DET
cana-1116	96	23	effective	effective	ADJ
cana-1116	96	24	reproduction	reproduction	NOUN
cana-1116	96	25	number	number	NOUN
cana-1116	96	26	of	of	ADP
cana-1116	96	27	the	the	DET
cana-1116	96	28	proposed	propose	VERB
cana-1116	96	29	system	system	NOUN
cana-1116	96	30	.	.	PUNCT
cana-1116	97	1	the	the	DET
cana-1116	97	2	utilization	utilization	NOUN
cana-1116	97	3	of	of	ADP
cana-1116	97	4	the	the	DET
cana-1116	97	5	exponential	exponential	ADJ
cana-1116	97	6	centre	centre	NOUN
cana-1116	97	7	theory	theory	NOUN
cana-1116	97	8	,	,	PUNCT
cana-1116	97	9	which	which	PRON
cana-1116	97	10	provided	provide	VERB
cana-1116	97	11	𝑅0	𝑅0	NOUN
cana-1116	97	12	<	<	X
cana-1116	97	13	1	1	NUM
cana-1116	97	14	is	be	AUX
cana-1116	97	15	represented	represent	VERB
cana-1116	97	16	a	a	DET
cana-1116	97	17	disease	disease	NOUN
cana-1116	97	18	-	-	PUNCT
cana-1116	97	19	free	free	ADJ
cana-1116	97	20	equilibrium	equilibrium	NOUN
cana-1116	97	21	coexists	coexist	VERB
cana-1116	97	22	with	with	ADP
cana-1116	97	23	a	a	DET
cana-1116	97	24	stable	stable	ADJ
cana-1116	97	25	endemic	endemic	ADJ
cana-1116	97	26	equilibrium	equilibrium	NOUN
cana-1116	97	27	is	be	AUX
cana-1116	97	28	stable	stable	ADJ
cana-1116	97	29	;	;	PUNCT
cana-1116	97	30	we	we	PRON
cana-1116	97	31	used	use	VERB
cana-1116	97	32	the	the	DET
cana-1116	97	33	lyapunov	lyapunov	ADJ
cana-1116	97	34	function	function	NOUN
cana-1116	97	35	to	to	PART
cana-1116	97	36	show	show	VERB
cana-1116	97	37	that	that	SCONJ
cana-1116	97	38	the	the	DET
cana-1116	97	39	disease	disease	NOUN
cana-1116	97	40	is	be	AUX
cana-1116	97	41	globally	globally	ADV
cana-1116	97	42	asymptotically	asymptotically	ADV
cana-1116	97	43	stable	stable	ADJ
cana-1116	97	44	.	.	PUNCT
cana-1116	98	1	non	non	ADJ
cana-1116	98	2	-	-	ADJ
cana-1116	98	3	negative	negative	ADJ
cana-1116	98	4	(	(	PUNCT
cana-1116	98	5	in	in	ADP
cana-1116	98	6	the	the	DET
cana-1116	98	7	variant	variant	NOUN
cana-1116	98	8	's	's	PART
cana-1116	98	9	region	region	NOUN
cana-1116	98	10	)	)	PUNCT
cana-1116	98	11	and	and	CCONJ
cana-1116	98	12	locally	locally	ADV
cana-1116	98	13	asymptotically	asymptotically	ADV
cana-1116	98	14	stable	stable	ADJ
cana-1116	98	15	conditions	condition	NOUN
cana-1116	98	16	were	be	AUX
cana-1116	98	17	implemented	implement	VERB
cana-1116	98	18	.	.	PUNCT
cana-1116	99	1	we	we	PRON
cana-1116	99	2	used	use	VERB
cana-1116	99	3	matlab	matlab	PROPN
cana-1116	99	4	tool	tool	NOUN
cana-1116	99	5	to	to	PART
cana-1116	99	6	simulate	simulate	VERB
cana-1116	99	7	the	the	DET
cana-1116	99	8	spread	spread	NOUN
cana-1116	99	9	of	of	ADP
cana-1116	99	10	diseases	disease	NOUN
cana-1116	99	11	among	among	ADP
cana-1116	99	12	the	the	DET
cana-1116	99	13	people	people	NOUN
cana-1116	99	14	.	.	PUNCT
cana-1116	100	1	2.1	2.1	NUM
cana-1116	100	2	.	.	PUNCT
cana-1116	100	3	model	model	NOUN
cana-1116	100	4	of	of	ADP
cana-1116	100	5	the	the	DET
cana-1116	100	6	parameters	parameter	NOUN
cana-1116	100	7	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	100	8	:	:	PUNCT
cana-1116	100	9	susceptible	susceptible	ADJ
cana-1116	100	10	population	population	NOUN
cana-1116	100	11	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	100	12	:	:	PUNCT
cana-1116	100	13	vaccinated	vaccinate	VERB
cana-1116	100	14	population	population	NOUN
cana-1116	100	15	𝐸𝑇𝐵	𝐸𝑇𝐵	PROPN
cana-1116	100	16	:	:	PUNCT
cana-1116	100	17	latently	latently	ADV
cana-1116	100	18	infected	infect	VERB
cana-1116	100	19	population	population	NOUN
cana-1116	100	20	𝐼𝑇𝐵	𝐼𝑇𝐵	NOUN
cana-1116	100	21	:	:	PUNCT
cana-1116	100	22	rate	rate	NOUN
cana-1116	100	23	of	of	ADP
cana-1116	100	24	induced	induced	ADJ
cana-1116	100	25	population	population	NOUN
cana-1116	100	26	𝐶𝑇𝐵	𝐶𝑇𝐵	NOUN
cana-1116	100	27	:	:	PUNCT
cana-1116	100	28	rate	rate	NOUN
cana-1116	100	29	of	of	ADP
cana-1116	100	30	quarantine	quarantine	NOUN
cana-1116	100	31	population	population	NOUN
cana-1116	100	32	communications	communication	NOUN
cana-1116	100	33	on	on	ADP
cana-1116	100	34	applied	apply	VERB
cana-1116	100	35	nonlinear	nonlinear	ADJ
cana-1116	100	36	analysis	analysis	NOUN
cana-1116	100	37	issn	issn	NOUN
cana-1116	100	38	:	:	PUNCT
cana-1116	100	39	1074	1074	NUM
cana-1116	100	40	-	-	PUNCT
cana-1116	100	41	133x	133x	NUM
cana-1116	100	42	vol	vol	NOUN
cana-1116	100	43	31	31	NUM
cana-1116	100	44	no	no	NOUN
cana-1116	100	45	.	.	PUNCT
cana-1116	101	1	6s	6s	NUM
cana-1116	101	2	(	(	PUNCT
cana-1116	101	3	2024	2024	NUM
cana-1116	101	4	)	)	PUNCT
cana-1116	101	5	18	18	NUM
cana-1116	101	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	101	7	𝑅𝑇𝐵	𝑅𝑇𝐵	PROPN
cana-1116	101	8	:	:	PUNCT
cana-1116	101	9	rate	rate	NOUN
cana-1116	101	10	of	of	ADP
cana-1116	101	11	recover	recover	NOUN
cana-1116	101	12	population	population	NOUN
cana-1116	101	13	λ	λ	NOUN
cana-1116	101	14	:	:	PUNCT
cana-1116	101	15	recruitment	recruitment	NOUN
cana-1116	101	16	rate	rate	NOUN
cana-1116	101	17	tb	tb	ADP
cana-1116	101	18	population	population	NOUN
cana-1116	101	19	𝛾	𝛾	NOUN
cana-1116	101	20	:	:	PUNCT
cana-1116	101	21	vaccination	vaccination	NOUN
cana-1116	101	22	reduces	reduce	VERB
cana-1116	101	23	the	the	DET
cana-1116	101	24	risk	risk	NOUN
cana-1116	101	25	of	of	ADP
cana-1116	101	26	infection	infection	NOUN
cana-1116	101	27	𝜃	𝜃	NOUN
cana-1116	101	28	:	:	PUNCT
cana-1116	101	29	the	the	DET
cana-1116	101	30	rate	rate	NOUN
cana-1116	101	31	of	of	ADP
cana-1116	101	32	vaccinated	vaccinated	ADJ
cana-1116	101	33	population	population	NOUN
cana-1116	101	34	𝜇	𝜇	ADP
cana-1116	101	35	:	:	PUNCT
cana-1116	101	36	natural	natural	ADJ
cana-1116	101	37	death	death	NOUN
cana-1116	101	38	rate	rate	NOUN
cana-1116	101	39	of	of	ADP
cana-1116	101	40	the	the	DET
cana-1116	101	41	population	population	NOUN
cana-1116	101	42	𝜉	𝜉	VERB
cana-1116	101	43	:	:	PUNCT
cana-1116	101	44	the	the	DET
cana-1116	101	45	vaccination	vaccination	NOUN
cana-1116	101	46	rate	rate	NOUN
cana-1116	101	47	of	of	ADP
cana-1116	101	48	people	people	NOUN
cana-1116	101	49	who	who	PRON
cana-1116	101	50	are	be	AUX
cana-1116	101	51	susceptible	susceptible	ADJ
cana-1116	101	52	𝛽𝑞	𝛽𝑞	ADP
cana-1116	101	53	:	:	PUNCT
cana-1116	101	54	endogenous	endogenous	ADJ
cana-1116	101	55	re	re	NOUN
cana-1116	101	56	-	-	ADJ
cana-1116	101	57	infection	infection	ADJ
cana-1116	101	58	population	population	NOUN
cana-1116	101	59	𝜏	𝜏	X
cana-1116	101	60	:	:	PUNCT
cana-1116	101	61	disease	disease	NOUN
cana-1116	101	62	-	-	PUNCT
cana-1116	101	63	induced	induce	VERB
cana-1116	101	64	tb	tb	NOUN
cana-1116	101	65	to	to	PART
cana-1116	101	66	quarantine	quarantine	NOUN
cana-1116	101	67	stage	stage	NOUN
cana-1116	101	68	𝜋	𝜋	NOUN
cana-1116	101	69	:	:	PUNCT
cana-1116	101	70	recovery	recovery	NOUN
cana-1116	101	71	rate	rate	NOUN
cana-1116	101	72	of	of	ADP
cana-1116	101	73	tb	tb	ADP
cana-1116	101	74	𝛽𝑢	𝛽𝑢	PROPN
cana-1116	101	75	:	:	PUNCT
cana-1116	101	76	progression	progression	NOUN
cana-1116	101	77	rate	rate	NOUN
cana-1116	101	78	of	of	ADP
cana-1116	101	79	tb	tb	ADP
cana-1116	101	80	𝜎𝛽	𝜎𝛽	PROPN
cana-1116	101	81	:	:	PUNCT
cana-1116	101	82	re	re	NOUN
cana-1116	101	83	-	-	NOUN
cana-1116	101	84	infection	infection	NOUN
cana-1116	101	85	among	among	ADP
cana-1116	101	86	the	the	DET
cana-1116	101	87	handled	handle	VERB
cana-1116	101	88	people	people	NOUN
cana-1116	101	89	individually	individually	ADV
cana-1116	101	90	𝛽𝑝	𝛽𝑝	VERB
cana-1116	101	91	:	:	PUNCT
cana-1116	101	92	re	re	NOUN
cana-1116	101	93	-	-	NOUN
cana-1116	101	94	infection	infection	NOUN
cana-1116	101	95	of	of	ADP
cana-1116	101	96	the	the	DET
cana-1116	101	97	tb	tb	NOUN
cana-1116	101	98	people	people	NOUN
cana-1116	101	99	from	from	ADP
cana-1116	101	100	outside	outside	ADP
cana-1116	101	101	2.2	2.2	NUM
cana-1116	101	102	.	.	PUNCT
cana-1116	102	1	model	model	NOUN
cana-1116	102	2	of	of	ADP
cana-1116	102	3	the	the	DET
cana-1116	102	4	diagram	diagram	NOUN
cana-1116	102	5	fig.1	fig.1	PROPN
cana-1116	102	6	flowchart	flowchart	NOUN
cana-1116	102	7	of	of	ADP
cana-1116	102	8	the	the	DET
cana-1116	102	9	tb	tb	NOUN
cana-1116	102	10	model	model	NOUN
cana-1116	102	11	2.3	2.3	NUM
cana-1116	102	12	.	.	PUNCT
cana-1116	103	1	model	model	NOUN
cana-1116	103	2	of	of	ADP
cana-1116	103	3	the	the	DET
cana-1116	103	4	equation	equation	NOUN
cana-1116	103	5	𝑑𝑆𝑇𝐵	𝑑𝑆𝑇𝐵	NOUN
cana-1116	103	6	ⅆ𝑡	ⅆ𝑡	ADP
cana-1116	103	7	=	=	SYM
cana-1116	103	8	λ	λ	PROPN
cana-1116	103	9	+	+	NUM
cana-1116	103	10	𝛾𝑅𝑇𝐵	𝛾𝑅𝑇𝐵	PRON
cana-1116	103	11	+	+	CCONJ
cana-1116	103	12	𝜃𝑉𝑇𝐵	𝜃𝑉𝑇𝐵	X
cana-1116	104	1	−	−	NOUN
cana-1116	104	2	μ𝑆𝑇𝐵	μ𝑆𝑇𝐵	NUM
cana-1116	104	3	−	−	NOUN
cana-1116	104	4	𝜉𝑆𝑇𝐵	𝜉𝑆𝑇𝐵	NOUN
cana-1116	104	5	−	−	PROPN
cana-1116	104	6	𝛽𝑝𝑆𝑇𝐵	𝛽𝑝𝑆𝑇𝐵	ADJ
cana-1116	104	7	𝑑𝑉𝑇𝐵	𝑑𝑉𝑇𝐵	NOUN
cana-1116	104	8	ⅆ𝑡	ⅆ𝑡	ADP
cana-1116	104	9	=	=	PUNCT
cana-1116	104	10	𝜉𝑆𝑇𝐵	𝜉𝑆𝑇𝐵	ADJ
cana-1116	104	11	−	−	NUM
cana-1116	104	12	μ𝑉𝑇𝐵	μ𝑉𝑇𝐵	NOUN
cana-1116	104	13	−	−	PROPN
cana-1116	104	14	𝛽𝑢𝑉𝑇𝐵	𝛽𝑢𝑉𝑇𝐵	NOUN
cana-1116	104	15	−	−	PROPN
cana-1116	104	16	𝜃𝑉𝑇𝐵	𝜃𝑉𝑇𝐵	X
cana-1116	104	17	𝑑𝐸𝑇𝐵	𝑑𝐸𝑇𝐵	X
cana-1116	104	18	ⅆ𝑡	ⅆ𝑡	ADP
cana-1116	104	19	=	=	VERB
cana-1116	104	20	𝛽𝑝𝑆𝑇𝐵	𝛽𝑝𝑆𝑇𝐵	PROPN
cana-1116	104	21	+	+	NUM
cana-1116	104	22	𝛽𝑢𝑉𝑇𝐵	𝛽𝑢𝑉𝑇𝐵	NOUN
cana-1116	104	23	+	+	CCONJ
cana-1116	104	24	𝜎𝛽𝑅𝑇𝐵	𝜎𝛽𝑅𝑇𝐵	PRON
cana-1116	104	25	−	−	PROPN
cana-1116	104	26	𝜇𝐸𝑇𝐵	𝜇𝐸𝑇𝐵	PROPN
cana-1116	104	27	−	−	NOUN
cana-1116	104	28	𝛽𝑞𝐸𝑇𝐵	𝛽𝑞𝐸𝑇𝐵	NOUN
cana-1116	104	29	(	(	PUNCT
cana-1116	104	30	1	1	NUM
cana-1116	104	31	)	)	PUNCT
cana-1116	104	32	𝑑𝐼𝑇𝐵	𝑑𝐼𝑇𝐵	NOUN
cana-1116	104	33	ⅆ𝑡	ⅆ𝑡	ADP
cana-1116	104	34	=	=	VERB
cana-1116	104	35	𝛽𝑞𝐸𝑇𝐵	𝛽𝑞𝐸𝑇𝐵	PROPN
cana-1116	104	36	−	−	PROPN
cana-1116	104	37	𝜇𝐼𝑇𝐵	𝜇𝐼𝑇𝐵	NOUN
cana-1116	104	38	−	−	PROPN
cana-1116	104	39	𝜏𝐼𝑇𝐵	𝜏𝐼𝑇𝐵	NOUN
cana-1116	104	40	communications	communication	NOUN
cana-1116	104	41	on	on	ADP
cana-1116	104	42	applied	apply	VERB
cana-1116	104	43	nonlinear	nonlinear	ADJ
cana-1116	104	44	analysis	analysis	NOUN
cana-1116	104	45	issn	issn	NOUN
cana-1116	104	46	:	:	PUNCT
cana-1116	104	47	1074	1074	NUM
cana-1116	104	48	-	-	PUNCT
cana-1116	104	49	133x	133x	NUM
cana-1116	104	50	vol	vol	NOUN
cana-1116	104	51	31	31	NUM
cana-1116	104	52	no	no	NOUN
cana-1116	104	53	.	.	PUNCT
cana-1116	105	1	6s	6s	NUM
cana-1116	105	2	(	(	PUNCT
cana-1116	105	3	2024	2024	NUM
cana-1116	105	4	)	)	PUNCT
cana-1116	105	5	19	19	NUM
cana-1116	105	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	105	7	𝑑𝐶𝑇𝐵	𝑑𝐶𝑇𝐵	VERB
cana-1116	105	8	ⅆ𝑡	ⅆ𝑡	ADP
cana-1116	105	9	=	=	NOUN
cana-1116	105	10	𝜏𝐼𝑇𝐵	𝜏𝐼𝑇𝐵	NOUN
cana-1116	105	11	−	−	NOUN
cana-1116	105	12	𝜇𝐶𝑇𝐵	𝜇𝐶𝑇𝐵	NOUN
cana-1116	105	13	−	−	NUM
cana-1116	105	14	𝜋𝐶𝑇𝐵	𝜋𝐶𝑇𝐵	NOUN
cana-1116	105	15	𝑑𝑅𝑇𝐵	𝑑𝑅𝑇𝐵	X
cana-1116	105	16	ⅆ𝑡	ⅆ𝑡	ADP
cana-1116	105	17	=	=	NUM
cana-1116	105	18	𝜋𝐶𝑇𝐵	𝜋𝐶𝑇𝐵	NOUN
cana-1116	105	19	−	−	PROPN
cana-1116	105	20	𝜇𝑅𝑇𝐵	𝜇𝑅𝑇𝐵	NOUN
cana-1116	105	21	−	−	NOUN
cana-1116	105	22	𝛾𝑅𝑇𝐵	𝛾𝑅𝑇𝐵	NUM
cana-1116	105	23	−	−	PROPN
cana-1116	105	24	𝜎𝛽𝑅𝑇𝐵	𝜎𝛽𝑅𝑇𝐵	NOUN
cana-1116	105	25	subject	subject	ADJ
cana-1116	105	26	to	to	ADP
cana-1116	105	27	the	the	DET
cana-1116	105	28	non	non	ADJ
cana-1116	105	29	-	-	ADJ
cana-1116	105	30	negative	negative	ADJ
cana-1116	105	31	initial	initial	ADJ
cana-1116	105	32	conditions	condition	NOUN
cana-1116	105	33	specified	specify	VERB
cana-1116	105	34	by	by	ADP
cana-1116	105	35	𝑆𝑇𝐵(0	𝑆𝑇𝐵(0	ADJ
cana-1116	105	36	)	)	PUNCT
cana-1116	105	37	>	>	SYM
cana-1116	105	38	0	0	NUM
cana-1116	105	39	,	,	PUNCT
cana-1116	105	40	𝑉𝑇𝐵(0	𝑉𝑇𝐵(0	PROPN
cana-1116	105	41	)	)	PUNCT
cana-1116	105	42	>	>	X
cana-1116	105	43	0	0	NUM
cana-1116	105	44	,	,	PUNCT
cana-1116	105	45	𝐸𝑇𝐵(0	𝐸𝑇𝐵(0	PROPN
cana-1116	105	46	)	)	PUNCT
cana-1116	105	47	>	>	X
cana-1116	105	48	0	0	NUM
cana-1116	105	49	,	,	PUNCT
cana-1116	105	50	𝐼𝑇𝐵(0	𝐼𝑇𝐵(0	NOUN
cana-1116	105	51	)	)	PUNCT
cana-1116	105	52	>	>	X
cana-1116	105	53	0	0	NUM
cana-1116	105	54	,	,	PUNCT
cana-1116	105	55	𝐶𝑇𝐵(0	𝐶𝑇𝐵(0	NUM
cana-1116	105	56	)	)	PUNCT
cana-1116	105	57	>	>	X
cana-1116	105	58	0	0	NUM
cana-1116	105	59	,	,	PUNCT
cana-1116	105	60	𝑅𝑇𝐵(0	𝑅𝑇𝐵(0	ADJ
cana-1116	105	61	)	)	PUNCT
cana-1116	105	62	>	>	X
cana-1116	105	63	0	0	PUNCT
cana-1116	106	1	it	it	PRON
cana-1116	106	2	is	be	AUX
cana-1116	106	3	assumed	assume	VERB
cana-1116	106	4	that	that	SCONJ
cana-1116	106	5	for	for	ADP
cana-1116	106	6	every	every	DET
cana-1116	106	7	time	time	NOUN
cana-1116	106	8	𝑡	𝑡	X
cana-1116	106	9	>	>	X
cana-1116	106	10	0	0	NUM
cana-1116	106	11	,	,	PUNCT
cana-1116	106	12	all	all	DET
cana-1116	106	13	the	the	DET
cana-1116	106	14	parameters	parameter	NOUN
cana-1116	106	15	in	in	ADP
cana-1116	106	16	system	system	NOUN
cana-1116	106	17	(	(	PUNCT
cana-1116	106	18	1	1	X
cana-1116	106	19	)	)	PUNCT
cana-1116	106	20	are	be	AUX
cana-1116	106	21	positive	positive	ADJ
cana-1116	106	22	𝑡	𝑡	X
cana-1116	106	23	>	>	X
cana-1116	106	24	0	0	NUM
cana-1116	106	25	.	.	PROPN
cana-1116	106	26	2.4	2.4	NUM
cana-1116	106	27	.	.	PUNCT
cana-1116	107	1	disease	disease	NOUN
cana-1116	107	2	free	free	PROPN
cana-1116	107	3	equilibrium	equilibrium	NOUN
cana-1116	107	4	𝑑𝑆𝑇𝐵	𝑑𝑆𝑇𝐵	NOUN
cana-1116	107	5	ⅆ𝑡	ⅆ𝑡	ADP
cana-1116	107	6	=	=	SYM
cana-1116	107	7	λ	λ	PROPN
cana-1116	107	8	+	+	NUM
cana-1116	107	9	𝛾𝑅𝑇𝐵	𝛾𝑅𝑇𝐵	PRON
cana-1116	107	10	+	+	CCONJ
cana-1116	107	11	𝜃𝑉𝑇𝐵	𝜃𝑉𝑇𝐵	X
cana-1116	108	1	−	−	NOUN
cana-1116	108	2	μ𝑆𝑇𝐵	μ𝑆𝑇𝐵	NUM
cana-1116	108	3	−	−	NOUN
cana-1116	108	4	𝜉𝑆𝑇𝐵	𝜉𝑆𝑇𝐵	NOUN
cana-1116	108	5	−	−	PRON
cana-1116	108	6	𝛽𝑝𝑆𝑇𝐵	𝛽𝑝𝑆𝑇𝐵	ADJ
cana-1116	108	7	substitute	substitute	NOUN
cana-1116	108	8	,	,	PUNCT
cana-1116	108	9	𝑉𝑇𝐵	𝑉𝑇𝐵	NOUN
cana-1116	108	10	=	=	PUNCT
cana-1116	108	11	𝑅𝑇𝐵	𝑅𝑇𝐵	PROPN
cana-1116	108	12	=	=	SYM
cana-1116	108	13	0	0	NUM
cana-1116	108	14	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	108	15	=	=	SYM
cana-1116	108	16	λ	λ	X
cana-1116	108	17	μ	μ	NOUN
cana-1116	108	18	+	+	CCONJ
cana-1116	108	19	𝜉	𝜉	X
cana-1116	108	20	+	+	CCONJ
cana-1116	108	21	𝛽𝑝	𝛽𝑝	NOUN
cana-1116	108	22	dfe	dfe	PROPN
cana-1116	108	23	=	=	PUNCT
cana-1116	108	24	(	(	PUNCT
cana-1116	108	25	λ	λ	X
cana-1116	108	26	μ+𝜉+𝛽𝑝	μ+𝜉+𝛽𝑝	PROPN
cana-1116	108	27	,	,	PUNCT
cana-1116	108	28	0	0	NUM
cana-1116	108	29	,	,	PUNCT
cana-1116	108	30	0	0	NUM
cana-1116	108	31	,	,	PUNCT
cana-1116	108	32	0	0	NUM
cana-1116	108	33	,	,	PUNCT
cana-1116	108	34	0	0	NUM
cana-1116	108	35	,	,	PUNCT
cana-1116	108	36	0	0	NUM
cana-1116	108	37	)	)	PUNCT
cana-1116	108	38	(	(	PUNCT
cana-1116	108	39	2	2	X
cana-1116	108	40	)	)	PUNCT
cana-1116	108	41	2.5	2.5	NUM
cana-1116	108	42	.	.	PUNCT
cana-1116	109	1	endemic	endemic	ADJ
cana-1116	109	2	equilibrium	equilibrium	NOUN
cana-1116	109	3	point	point	NOUN
cana-1116	109	4	let	let	VERB
cana-1116	109	5	𝐸∗=	𝐸∗=	NOUN
cana-1116	109	6	(	(	PUNCT
cana-1116	109	7	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	109	8	∗	∗	NOUN
cana-1116	109	9	,	,	PUNCT
cana-1116	109	10	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	109	11	∗	∗	NOUN
cana-1116	109	12	,	,	PUNCT
cana-1116	109	13	𝐸𝑇𝐵	𝐸𝑇𝐵	ADJ
cana-1116	109	14	∗	∗	NOUN
cana-1116	109	15	,	,	PUNCT
cana-1116	109	16	𝐼𝑇𝐵	𝐼𝑇𝐵	NOUN
cana-1116	109	17	∗	∗	NOUN
cana-1116	109	18	,	,	PUNCT
cana-1116	109	19	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	109	20	∗	∗	VERB
cana-1116	109	21	𝑅𝑇𝐵	𝑅𝑇𝐵	ADP
cana-1116	109	22	∗	∗	NOUN
cana-1116	109	23	)	)	PUNCT
cana-1116	110	1	∈	∈	PROPN
cana-1116	110	2	ω	ω	NOUN
cana-1116	110	3	be	be	AUX
cana-1116	110	4	the	the	DET
cana-1116	110	5	equilibrium	equilibrium	NOUN
cana-1116	110	6	points	point	NOUN
cana-1116	110	7	of	of	ADP
cana-1116	110	8	the	the	DET
cana-1116	110	9	organization	organization	NOUN
cana-1116	110	10	that	that	PRON
cana-1116	110	11	the	the	DET
cana-1116	110	12	equations	equation	NOUN
cana-1116	110	13	arrange	arrange	VERB
cana-1116	110	14	.	.	PUNCT
cana-1116	111	1	first	first	ADV
cana-1116	111	2	of	of	ADP
cana-1116	111	3	all	all	PRON
cana-1116	111	4	,	,	PUNCT
cana-1116	111	5	implementing	implement	VERB
cana-1116	111	6	the	the	DET
cana-1116	111	7	condition	condition	NOUN
cana-1116	111	8	yields	yield	VERB
cana-1116	111	9	the	the	DET
cana-1116	111	10	states	state	NOUN
cana-1116	111	11	of	of	ADP
cana-1116	111	12	equilibrium	equilibrium	NOUN
cana-1116	111	13	.	.	PUNCT
cana-1116	112	1	𝐸∗	𝐸∗	NOUN
cana-1116	113	1	=	=	PRON
cana-1116	113	2	{	{	PUNCT
cana-1116	113	3	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	113	4	∗	∗	NOUN
cana-1116	113	5	=	=	PUNCT
cana-1116	113	6	λ+	λ+	PUNCT
cana-1116	113	7	𝛾𝑅𝑇𝐵+𝜃𝑉𝑇𝐵	𝛾𝑅𝑇𝐵+𝜃𝑉𝑇𝐵	NOUN
cana-1116	113	8	μ+𝜉+𝛽𝑝	μ+𝜉+𝛽𝑝	ADV
cana-1116	113	9	,	,	PUNCT
cana-1116	113	10	𝑉𝑇𝐵	𝑉𝑇𝐵	NOUN
cana-1116	113	11	∗	∗	NOUN
cana-1116	113	12	=	=	PUNCT
cana-1116	113	13	𝜉𝑆	𝜉𝑆	PROPN
cana-1116	113	14	μ+𝜉+𝛽𝜃	μ+𝜉+𝛽𝜃	NOUN
cana-1116	113	15	,	,	PUNCT
cana-1116	113	16	𝐸𝑇𝐵	𝐸𝑇𝐵	ADJ
cana-1116	113	17	∗	∗	NOUN
cana-1116	113	18	=	=	NOUN
cana-1116	114	1	=	=	SYM
cana-1116	114	2	𝛽𝑝𝑆𝑇𝐵+𝛽𝑢𝑉𝑇𝐵+𝜎𝛽𝑅𝑇𝐵	𝛽𝑝𝑆𝑇𝐵+𝛽𝑢𝑉𝑇𝐵+𝜎𝛽𝑅𝑇𝐵	PROPN
cana-1116	114	3	𝜇𝐸𝑇𝐵+𝛽𝑞𝐸𝑇𝐵	𝜇𝐸𝑇𝐵+𝛽𝑞𝐸𝑇𝐵	PROPN
cana-1116	114	4	,	,	PUNCT
cana-1116	114	5	𝐼𝑇𝐵	𝐼𝑇𝐵	NOUN
cana-1116	114	6	∗	∗	NOUN
cana-1116	114	7	=	=	PUNCT
cana-1116	114	8	𝛽𝑞𝐸𝑇𝐵	𝛽𝑞𝐸𝑇𝐵	ADP
cana-1116	114	9	𝜇𝐼𝑇𝐵+	𝜇𝐼𝑇𝐵+	PROPN
cana-1116	114	10	𝜏𝐼𝑇𝐵	𝜏𝐼𝑇𝐵	NOUN
cana-1116	114	11	,	,	PUNCT
cana-1116	114	12	𝐶𝑇𝐵	𝐶𝑇𝐵	NOUN
cana-1116	114	13	∗	∗	NOUN
cana-1116	114	14	=	=	PUNCT
cana-1116	114	15	𝜏𝐼𝑇𝐵	𝜏𝐼𝑇𝐵	NOUN
cana-1116	114	16	𝜇+𝜋	𝜇+𝜋	NUM
cana-1116	114	17	𝑅𝑇𝐵	𝑅𝑇𝐵	ADP
cana-1116	114	18	∗	∗	NOUN
cana-1116	114	19	=	=	SYM
cana-1116	114	20	𝜋𝐶𝑇𝐵	𝜋𝐶𝑇𝐵	NOUN
cana-1116	114	21	𝜇+𝛾+𝜎𝛽	𝜇+𝛾+𝜎𝛽	NOUN
cana-1116	114	22	}	}	PUNCT
cana-1116	114	23	2.6	2.6	NUM
cana-1116	114	24	.	.	PUNCT
cana-1116	114	25	basic	basic	ADJ
cana-1116	114	26	reproduction	reproduction	NOUN
cana-1116	114	27	number	number	NOUN
cana-1116	114	28	the	the	DET
cana-1116	114	29	next	next	ADJ
cana-1116	114	30	-	-	PUNCT
cana-1116	114	31	generation	generation	NOUN
cana-1116	114	32	matrix	matrix	NOUN
cana-1116	114	33	method	method	NOUN
cana-1116	114	34	will	will	AUX
cana-1116	114	35	be	be	AUX
cana-1116	114	36	used	use	VERB
cana-1116	114	37	to	to	PART
cana-1116	114	38	determine	determine	VERB
cana-1116	114	39	𝑅0	𝑅0	NOUN
cana-1116	114	40	after	after	SCONJ
cana-1116	114	41	we	we	PRON
cana-1116	114	42	have	have	AUX
cana-1116	114	43	distinguished	distinguish	VERB
cana-1116	114	44	the	the	DET
cana-1116	114	45	classes	class	NOUN
cana-1116	114	46	in	in	ADP
cana-1116	114	47	our	our	PRON
cana-1116	114	48	model	model	NOUN
cana-1116	114	49	.	.	PUNCT
cana-1116	115	1	one	one	NUM
cana-1116	115	2	of	of	ADP
cana-1116	115	3	the	the	DET
cana-1116	115	4	infectious	infectious	ADJ
cana-1116	115	5	virus	virus	NOUN
cana-1116	115	6	classes	class	NOUN
cana-1116	115	7	is	be	AUX
cana-1116	115	8	tuberculosis	tuberculosis	NOUN
cana-1116	115	9	.	.	PUNCT
cana-1116	116	1	the	the	DET
cana-1116	116	2	tb	tb	NOUN
cana-1116	116	3	reproduction	reproduction	NOUN
cana-1116	116	4	number	number	NOUN
cana-1116	116	5	𝑅0	𝑅0	NOUN
cana-1116	116	6	will	will	AUX
cana-1116	116	7	therefore	therefore	ADV
cana-1116	116	8	be	be	AUX
cana-1116	116	9	established	establish	VERB
cana-1116	116	10	.	.	PUNCT
cana-1116	117	1	we	we	PRON
cana-1116	117	2	determine	determine	VERB
cana-1116	117	3	the	the	DET
cana-1116	117	4	reproduction	reproduction	NOUN
cana-1116	117	5	number	number	NOUN
cana-1116	117	6	𝑅0	𝑅0	NOUN
cana-1116	117	7	and	and	CCONJ
cana-1116	117	8	identify	identify	VERB
cana-1116	117	9	the	the	DET
cana-1116	117	10	infected	infected	ADJ
cana-1116	117	11	cases	case	NOUN
cana-1116	117	12	as	as	SCONJ
cana-1116	117	13	𝐼𝑇𝐵.	𝐼𝑇𝐵.	PRON
cana-1116	117	14	let	let	VERB
cana-1116	117	15	𝑋	𝑋	PROPN
cana-1116	117	16	=	=	SYM
cana-1116	117	17	(	(	PUNCT
cana-1116	117	18	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	117	19	,	,	PUNCT
cana-1116	117	20	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	117	21	,	,	PUNCT
cana-1116	117	22	𝐸𝑇𝐵	𝐸𝑇𝐵	PROPN
cana-1116	117	23	,	,	PUNCT
cana-1116	117	24	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	117	25	,	,	PUNCT
cana-1116	117	26	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	117	27	,	,	PUNCT
cana-1116	117	28	𝑅𝑇𝐵	𝑅𝑇𝐵	PROPN
cana-1116	117	29	)	)	PUNCT
cana-1116	117	30	𝐹𝑇𝐵be	𝐹𝑇𝐵be	PROPN
cana-1116	117	31	the	the	DET
cana-1116	117	32	indication	indication	NOUN
cana-1116	117	33	of	of	ADP
cana-1116	117	34	a	a	DET
cana-1116	117	35	rising	rise	VERB
cana-1116	117	36	case	case	NOUN
cana-1116	117	37	of	of	ADP
cana-1116	117	38	tb	tb	ADP
cana-1116	117	39	𝑉𝑇𝐵is	𝑉𝑇𝐵i	VERB
cana-1116	117	40	an	an	DET
cana-1116	117	41	indication	indication	NOUN
cana-1116	117	42	of	of	ADP
cana-1116	117	43	an	an	DET
cana-1116	117	44	outgoing	outgoing	ADJ
cana-1116	117	45	case	case	NOUN
cana-1116	117	46	of	of	ADP
cana-1116	117	47	tb	tb	ADP
cana-1116	117	48	communications	communication	NOUN
cana-1116	117	49	on	on	ADP
cana-1116	117	50	applied	apply	VERB
cana-1116	117	51	nonlinear	nonlinear	ADJ
cana-1116	117	52	analysis	analysis	NOUN
cana-1116	117	53	issn	issn	NOUN
cana-1116	117	54	:	:	PUNCT
cana-1116	117	55	1074	1074	NUM
cana-1116	117	56	-	-	PUNCT
cana-1116	117	57	133x	133x	NUM
cana-1116	117	58	vol	vol	NOUN
cana-1116	117	59	31	31	NUM
cana-1116	117	60	no	no	NOUN
cana-1116	117	61	.	.	PUNCT
cana-1116	118	1	6s	6s	NUM
cana-1116	118	2	(	(	PUNCT
cana-1116	118	3	2024	2024	NUM
cana-1116	118	4	)	)	PUNCT
cana-1116	118	5	20	20	NUM
cana-1116	119	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	119	2	𝐹𝑇𝐵	𝐹𝑇𝐵	PROPN
cana-1116	120	1	=	=	PRON
cana-1116	121	1	(	(	PUNCT
cana-1116	121	2	𝛽𝑞	𝛽𝑞	NOUN
cana-1116	121	3	0	0	NUM
cana-1116	121	4	0	0	NUM
cana-1116	121	5	0	0	NUM
cana-1116	121	6	0	0	NUM
cana-1116	121	7	0	0	NUM
cana-1116	121	8	)	)	PUNCT
cana-1116	121	9	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	121	10	=	=	SYM
cana-1116	121	11	(	(	PUNCT
cana-1116	121	12	𝜇	𝜇	X
cana-1116	121	13	+	+	X
cana-1116	121	14	𝜏	𝜏	PROPN
cana-1116	121	15	μ	μ	NOUN
cana-1116	121	16	+	+	CCONJ
cana-1116	121	17	𝜉	𝜉	NOUN
cana-1116	121	18	+	+	NUM
cana-1116	121	19	𝛽𝑝	𝛽𝑝	NUM
cana-1116	121	20	μ	μ	NOUN
cana-1116	121	21	+	+	NOUN
cana-1116	121	22	𝛽𝑢	𝛽𝑢	ADP
cana-1116	121	23	+	+	NUM
cana-1116	121	24	𝜃	𝜃	NOUN
cana-1116	121	25	𝜇	𝜇	X
cana-1116	121	26	+	+	NOUN
cana-1116	121	27	𝛽𝑞	𝛽𝑞	NOUN
cana-1116	121	28	𝜇𝐶𝑇𝐵	𝜇𝐶𝑇𝐵	NOUN
cana-1116	121	29	+	+	NUM
cana-1116	121	30	𝜋𝐶𝑇𝐵	𝜋𝐶𝑇𝐵	NOUN
cana-1116	121	31	𝜇	𝜇	ADP
cana-1116	121	32	+	+	NOUN
cana-1116	121	33	𝛾	𝛾	NOUN
cana-1116	121	34	+	+	ADJ
cana-1116	121	35	𝜎𝛽	𝜎𝛽	NUM
cana-1116	121	36	)	)	PUNCT
cana-1116	121	37	the	the	DET
cana-1116	121	38	derivative	derivative	NOUN
cana-1116	121	39	of	of	ADP
cana-1116	121	40	𝐹𝑇𝐵	𝐹𝑇𝐵	PROPN
cana-1116	121	41	and	and	CCONJ
cana-1116	121	42	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	121	43	are	be	AUX
cana-1116	121	44	given	give	VERB
cana-1116	121	45	(	(	PUNCT
cana-1116	121	46	𝐹𝑇𝐵𝑉𝑇𝐵	𝐹𝑇𝐵𝑉𝑇𝐵	PROPN
cana-1116	121	47	)	)	PUNCT
cana-1116	121	48	−1	−1	NOUN
cana-1116	122	1	=	=	SYM
cana-1116	122	2	𝛽𝑞	𝛽𝑞	PROPN
cana-1116	122	3	𝜇+𝜏	𝜇+𝜏	NUM
cana-1116	122	4	(	(	PUNCT
cana-1116	122	5	9	9	NUM
cana-1116	122	6	)	)	PUNCT
cana-1116	122	7	𝑅0	𝑅0	NOUN
cana-1116	122	8	=	=	SYM
cana-1116	122	9	𝛽𝑞	𝛽𝑞	PROPN
cana-1116	122	10	𝜇+𝜏	𝜇+𝜏	NUM
cana-1116	122	11	=	=	PUNCT
cana-1116	122	12	𝑅0	𝑅0	VERB
cana-1116	122	13	<	<	X
cana-1116	122	14	1	1	NUM
cana-1116	122	15	(	(	PUNCT
cana-1116	122	16	10	10	NUM
cana-1116	122	17	)	)	PUNCT
cana-1116	122	18	reproduction	reproduction	NOUN
cana-1116	122	19	number	number	NOUN
cana-1116	122	20	𝑅0	𝑅0	NOUN
cana-1116	122	21	is	be	AUX
cana-1116	122	22	derived	derive	VERB
cana-1116	122	23	from	from	ADP
cana-1116	122	24	equation	equation	NOUN
cana-1116	122	25	(	(	PUNCT
cana-1116	122	26	9	9	NUM
cana-1116	122	27	)	)	PUNCT
cana-1116	122	28	.	.	PUNCT
cana-1116	123	1	thus	thus	ADV
cana-1116	123	2	,	,	PUNCT
cana-1116	123	3	the	the	DET
cana-1116	123	4	equilibrium	equilibrium	NOUN
cana-1116	123	5	point	point	NOUN
cana-1116	123	6	of	of	ADP
cana-1116	123	7	the	the	DET
cana-1116	123	8	sveicr	sveicr	PROPN
cana-1116	123	9	model	model	NOUN
cana-1116	123	10	in	in	ADP
cana-1116	123	11	the	the	DET
cana-1116	123	12	disease	disease	NOUN
cana-1116	123	13	-	-	PUNCT
cana-1116	123	14	free	free	ADJ
cana-1116	123	15	case	case	NOUN
cana-1116	123	16	is	be	AUX
cana-1116	123	17	asymptotically	asymptotically	ADV
cana-1116	123	18	stable	stable	ADJ
cana-1116	123	19	.	.	PUNCT
cana-1116	124	1	[	[	X
cana-1116	124	2	table	table	NOUN
cana-1116	124	3	1	1	NUM
cana-1116	124	4	]	]	PUNCT
cana-1116	124	5	.	.	PUNCT
cana-1116	125	1	theorem	theorem	ADJ
cana-1116	125	2	1	1	NUM
cana-1116	125	3	(	(	PUNCT
cana-1116	125	4	redundant	redundant	ADJ
cana-1116	125	5	area	area	NOUN
cana-1116	125	6	)	)	PUNCT
cana-1116	125	7	equation	equation	NOUN
cana-1116	125	8	(	(	PUNCT
cana-1116	125	9	1	1	NUM
cana-1116	125	10	)	)	PUNCT
cana-1116	125	11	's	's	PART
cana-1116	125	12	set	set	NOUN
cana-1116	125	13	of	of	ADP
cana-1116	125	14	non	non	ADJ
cana-1116	125	15	-	-	ADJ
cana-1116	125	16	linear	linear	ADJ
cana-1116	125	17	differential	differential	ADJ
cana-1116	125	18	equations	equation	NOUN
cana-1116	125	19	exhibits	exhibit	VERB
cana-1116	125	20	positive	positive	ADJ
cana-1116	125	21	invariance	invariance	NOUN
cana-1116	125	22	and	and	CCONJ
cana-1116	125	23	absorbing	absorbing	NOUN
cana-1116	125	24	in	in	ADP
cana-1116	125	25	the	the	DET
cana-1116	125	26	closed	closed	ADJ
cana-1116	125	27	region	region	NOUN
cana-1116	126	1	ω	ω	PROPN
cana-1116	126	2	=	=	SYM
cana-1116	126	3	(	(	PUNCT
cana-1116	126	4	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	126	5	,	,	PUNCT
cana-1116	126	6	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	126	7	,	,	PUNCT
cana-1116	126	8	𝐸𝑇𝐵	𝐸𝑇𝐵	PROPN
cana-1116	126	9	,	,	PUNCT
cana-1116	126	10	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	126	11	,	,	PUNCT
cana-1116	126	12	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	126	13	,	,	PUNCT
cana-1116	126	14	𝑅𝑇𝐵	𝑅𝑇𝐵	PROPN
cana-1116	126	15	)	)	PUNCT
cana-1116	126	16	∈	∈	PROPN
cana-1116	126	17	𝑅+	𝑅+	NUM
cana-1116	126	18	6	6	NUM
cana-1116	126	19	:	:	SYM
cana-1116	126	20	0	0	NUM
cana-1116	126	21	≤	≤	NUM
cana-1116	126	22	𝑁(𝑡	𝑁(𝑡	NOUN
cana-1116	126	23	)	)	PUNCT
cana-1116	126	24	≤	≤	NUM
cana-1116	126	25	λ	λ	PROPN
cana-1116	126	26	𝜇	𝜇	NOUN
cana-1116	126	27	.	.	PUNCT
cana-1116	127	1	proof	proof	NOUN
cana-1116	127	2	differentiating	differentiate	VERB
cana-1116	127	3	n(t	n(t	PROPN
cana-1116	127	4	)	)	PUNCT
cana-1116	127	5	with	with	ADP
cana-1116	127	6	respect	respect	NOUN
cana-1116	127	7	to	to	ADP
cana-1116	127	8	time	time	NOUN
cana-1116	127	9	"	"	PUNCT
cana-1116	127	10	𝑡"and	𝑡"and	NOUN
cana-1116	127	11	adding	add	VERB
cana-1116	127	12	all	all	DET
cana-1116	127	13	the	the	DET
cana-1116	127	14	right	right	ADJ
cana-1116	127	15	-	-	PUNCT
cana-1116	127	16	hand	hand	NOUN
cana-1116	127	17	sides	side	NOUN
cana-1116	127	18	of	of	ADP
cana-1116	127	19	model	model	NOUN
cana-1116	127	20	(	(	PUNCT
cana-1116	127	21	1	1	NUM
cana-1116	127	22	)	)	PUNCT
cana-1116	127	23	together	together	ADV
cana-1116	127	24	gives	give	VERB
cana-1116	127	25	𝑁(𝑡	𝑁(𝑡	PRON
cana-1116	127	26	)	)	PUNCT
cana-1116	127	27	=	=	SYM
cana-1116	127	28	λ	λ	NOUN
cana-1116	127	29	−	−	PROPN
cana-1116	127	30	𝜇𝑁	𝜇𝑁	NOUN
cana-1116	127	31	based	base	VERB
cana-1116	127	32	on	on	ADP
cana-1116	127	33	the	the	DET
cana-1116	127	34	non	non	ADJ
cana-1116	127	35	-	-	NOUN
cana-1116	127	36	negativity	negativity	NOUN
cana-1116	127	37	of	of	ADP
cana-1116	127	38	model	model	NOUN
cana-1116	127	39	(	(	PUNCT
cana-1116	127	40	1	1	X
cana-1116	127	41	)	)	PUNCT
cana-1116	127	42	we	we	PRON
cana-1116	127	43	have	have	VERB
cana-1116	127	44	that	that	PRON
cana-1116	127	45	𝑁(𝑡	𝑁(𝑡	NOUN
cana-1116	128	1	)	)	PUNCT
cana-1116	128	2	=	=	SYM
cana-1116	128	3	λ	λ	NOUN
cana-1116	128	4	−	−	PROPN
cana-1116	128	5	𝜇𝑁	𝜇𝑁	NOUN
cana-1116	128	6	using	use	VERB
cana-1116	128	7	gromwell	gromwell	NOUN
cana-1116	128	8	’s	’s	PART
cana-1116	128	9	inequality	inequality	NOUN
cana-1116	129	1	,	,	PUNCT
cana-1116	129	2	the	the	DET
cana-1116	129	3	solution	solution	NOUN
cana-1116	129	4	becomes	become	VERB
cana-1116	129	5	𝑁(𝑡	𝑁(𝑡	PRON
cana-1116	129	6	)	)	PUNCT
cana-1116	129	7	≤	≤	NOUN
cana-1116	129	8	(	(	PUNCT
cana-1116	129	9	λ	λ	X
cana-1116	129	10	𝜇	𝜇	X
cana-1116	129	11	)	)	PUNCT
cana-1116	129	12	+	+	CCONJ
cana-1116	129	13	𝑛(0	𝑛(0	PROPN
cana-1116	129	14	)	)	PUNCT
cana-1116	129	15	−	−	PROPN
cana-1116	130	1	(	(	PUNCT
cana-1116	130	2	λ	λ	X
cana-1116	130	3	𝜇	𝜇	X
cana-1116	130	4	)	)	PUNCT
cana-1116	130	5	𝑒−𝜇𝑡	𝑒−𝜇𝑡	NOUN
cana-1116	130	6	it	it	PRON
cana-1116	130	7	follows	follow	VERB
cana-1116	130	8	that	that	SCONJ
cana-1116	130	9	𝑁(𝑡	𝑁(𝑡	NOUN
cana-1116	130	10	)	)	PUNCT
cana-1116	130	11	≤	≤	NOUN
cana-1116	130	12	(	(	PUNCT
cana-1116	130	13	λ	λ	X
cana-1116	130	14	𝜇	𝜇	X
cana-1116	130	15	)	)	PUNCT
cana-1116	130	16	as	as	ADP
cana-1116	130	17	𝑡	𝑡	PROPN
cana-1116	130	18	→	→	SYM
cana-1116	130	19	∞	∞	NUM
cana-1116	130	20	hence	hence	ADV
cana-1116	130	21	,	,	PUNCT
cana-1116	130	22	ω	ω	PROPN
cana-1116	130	23	=	=	SYM
cana-1116	130	24	{	{	PUNCT
cana-1116	130	25	(	(	PUNCT
cana-1116	130	26	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	130	27	,	,	PUNCT
cana-1116	130	28	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	130	29	,	,	PUNCT
cana-1116	130	30	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	130	31	,	,	PUNCT
cana-1116	130	32	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	130	33	,	,	PUNCT
cana-1116	130	34	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	130	35	,	,	PUNCT
cana-1116	130	36	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	130	37	)	)	PUNCT
cana-1116	130	38	∈	∈	PROPN
cana-1116	130	39	𝑅+	𝑅+	NUM
cana-1116	130	40	6	6	NUM
cana-1116	130	41	:	:	SYM
cana-1116	130	42	0	0	NUM
cana-1116	130	43	≤	≤	NUM
cana-1116	130	44	𝑁(𝑇	𝑁(𝑇	NOUN
cana-1116	130	45	)	)	PUNCT
cana-1116	130	46	≤	≤	NUM
cana-1116	131	1	λ	λ	PROPN
cana-1116	131	2	𝜇	𝜇	ADP
cana-1116	131	3	}	}	PUNCT
cana-1116	131	4	thus	thus	ADV
cana-1116	131	5	,	,	PUNCT
cana-1116	131	6	in	in	ADP
cana-1116	131	7	the	the	DET
cana-1116	131	8	region	region	NOUN
cana-1116	131	9	of	of	ADP
cana-1116	131	10	ω	ω	PROPN
cana-1116	131	11	,	,	PUNCT
cana-1116	131	12	the	the	DET
cana-1116	131	13	hypothesis	hypothesis	NOUN
cana-1116	131	14	is	be	AUX
cana-1116	131	15	well	well	ADV
cana-1116	131	16	-	-	PUNCT
cana-1116	131	17	posed	pose	VERB
cana-1116	131	18	,	,	PUNCT
cana-1116	131	19	both	both	CCONJ
cana-1116	131	20	in	in	ADP
cana-1116	131	21	terms	term	NOUN
cana-1116	131	22	of	of	ADP
cana-1116	131	23	mathematics	mathematic	NOUN
cana-1116	131	24	and	and	CCONJ
cana-1116	131	25	biology	biology	NOUN
cana-1116	131	26	.	.	PUNCT
cana-1116	132	1	theorem	theorem	VERB
cana-1116	132	2	2	2	NUM
cana-1116	132	3	the	the	DET
cana-1116	132	4	proposed	propose	VERB
cana-1116	132	5	model	model	NOUN
cana-1116	132	6	(	(	PUNCT
cana-1116	132	7	1	1	NUM
cana-1116	132	8	)	)	PUNCT
cana-1116	132	9	solution	solution	NOUN
cana-1116	132	10	set	set	NOUN
cana-1116	132	11	{	{	PUNCT
cana-1116	132	12	𝑆𝑇𝐵(𝑡	𝑆𝑇𝐵(𝑡	PROPN
cana-1116	132	13	)	)	PUNCT
cana-1116	132	14	,	,	PUNCT
cana-1116	132	15	𝑉𝑇𝐵(𝑡	𝑉𝑇𝐵(𝑡	PROPN
cana-1116	132	16	)	)	PUNCT
cana-1116	132	17	,	,	PUNCT
cana-1116	132	18	𝐸𝑇𝐵(𝑡	𝐸𝑇𝐵(𝑡	NOUN
cana-1116	132	19	)	)	PUNCT
cana-1116	132	20	,	,	PUNCT
cana-1116	132	21	𝐼𝑇𝐵(𝑡	𝐼𝑇𝐵(𝑡	NOUN
cana-1116	132	22	)	)	PUNCT
cana-1116	132	23	,	,	PUNCT
cana-1116	132	24	𝐶𝑇𝐵(𝑡	𝐶𝑇𝐵(𝑡	PROPN
cana-1116	132	25	)	)	PUNCT
cana-1116	132	26	,	,	PUNCT
cana-1116	132	27	𝑅𝑇𝐵(𝑡	𝑅𝑇𝐵(𝑡	PROPN
cana-1116	132	28	)	)	PUNCT
cana-1116	132	29	}	}	PUNCT
cana-1116	132	30	combined	combine	VERB
cana-1116	132	31	with	with	ADP
cana-1116	132	32	(	(	PUNCT
cana-1116	132	33	2	2	NUM
cana-1116	132	34	)	)	PUNCT
cana-1116	132	35	,	,	PUNCT
cana-1116	132	36	is	be	AUX
cana-1116	132	37	positive	positive	ADJ
cana-1116	132	38	for	for	ADP
cana-1116	132	39	all	all	DET
cana-1116	132	40	𝑡	𝑡	X
cana-1116	132	41	>	>	X
cana-1116	132	42	0	0	X
cana-1116	132	43	.	.	PUNCT
cana-1116	133	1	proof	proof	NOUN
cana-1116	133	2	we	we	PRON
cana-1116	133	3	evaluate	evaluate	VERB
cana-1116	133	4	equation	equation	NOUN
cana-1116	133	5	(	(	PUNCT
cana-1116	133	6	1	1	NUM
cana-1116	133	7	)	)	PUNCT
cana-1116	133	8	while	while	SCONJ
cana-1116	133	9	taking	take	VERB
cana-1116	133	10	into	into	ADP
cana-1116	133	11	consideration	consideration	NOUN
cana-1116	133	12	the	the	DET
cana-1116	133	13	non	non	ADJ
cana-1116	133	14	-	-	ADJ
cana-1116	133	15	linear	linear	ADJ
cana-1116	133	16	system	system	NOUN
cana-1116	133	17	of	of	ADP
cana-1116	133	18	equations	equation	NOUN
cana-1116	133	19	.	.	PUNCT
cana-1116	134	1	𝑑𝑠	𝑑𝑠	X
cana-1116	134	2	𝑑𝑡	𝑑𝑡	ADP
cana-1116	134	3	=	=	PROPN
cana-1116	134	4	λ	λ	PROPN
cana-1116	134	5	+	+	NUM
cana-1116	134	6	𝛾𝑅𝑇𝐵	𝛾𝑅𝑇𝐵	PRON
cana-1116	134	7	+	+	CCONJ
cana-1116	134	8	𝜃𝑉𝑇𝐵	𝜃𝑉𝑇𝐵	X
cana-1116	134	9	−	−	NOUN
cana-1116	134	10	(	(	PUNCT
cana-1116	134	11	𝜇	𝜇	X
cana-1116	134	12	+	+	ADP
cana-1116	134	13	𝜉	𝜉	X
cana-1116	134	14	+	+	NOUN
cana-1116	134	15	𝛽𝑝)𝑆𝑇𝐵	𝛽𝑝)𝑆𝑇𝐵	NOUN
cana-1116	134	16	communications	communication	NOUN
cana-1116	134	17	on	on	ADP
cana-1116	134	18	applied	apply	VERB
cana-1116	134	19	nonlinear	nonlinear	ADJ
cana-1116	134	20	analysis	analysis	NOUN
cana-1116	134	21	issn	issn	NOUN
cana-1116	134	22	:	:	PUNCT
cana-1116	134	23	1074	1074	NUM
cana-1116	134	24	-	-	PUNCT
cana-1116	134	25	133x	133x	NUM
cana-1116	134	26	vol	vol	NOUN
cana-1116	134	27	31	31	NUM
cana-1116	134	28	no	no	NOUN
cana-1116	134	29	.	.	PUNCT
cana-1116	135	1	6s	6s	NUM
cana-1116	135	2	(	(	PUNCT
cana-1116	135	3	2024	2024	NUM
cana-1116	135	4	)	)	PUNCT
cana-1116	135	5	21	21	NUM
cana-1116	135	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	135	7	which	which	PRON
cana-1116	135	8	means	mean	VERB
cana-1116	135	9	that	that	SCONJ
cana-1116	135	10	𝑑𝑠	𝑑𝑠	ADP
cana-1116	135	11	𝑑𝑡	𝑑𝑡	ADP
cana-1116	135	12	≥	≥	NOUN
cana-1116	135	13	−(𝜇	−(𝜇	NOUN
cana-1116	135	14	+	+	CCONJ
cana-1116	135	15	𝜉	𝜉	X
cana-1116	135	16	+	+	CCONJ
cana-1116	135	17	𝛽𝑝)𝑆𝑇𝐵	𝛽𝑝)𝑆𝑇𝐵	PROPN
cana-1116	135	18	(	(	PUNCT
cana-1116	135	19	11	11	NUM
cana-1116	135	20	)	)	PUNCT
cana-1116	135	21	by	by	ADP
cana-1116	135	22	integrating	integrate	VERB
cana-1116	135	23	,	,	PUNCT
cana-1116	135	24	we	we	PRON
cana-1116	135	25	get	get	VERB
cana-1116	135	26	𝑆𝑇𝐵(t)≥	𝑆𝑇𝐵(t)≥	PRON
cana-1116	135	27	𝑆(0)𝑒−(𝜇+𝜉+𝛽𝑝)𝑡	𝑆(0)𝑒−(𝜇+𝜉+𝛽𝑝)𝑡	PUNCT
cana-1116	136	1	this	this	PRON
cana-1116	136	2	goes	go	VERB
cana-1116	136	3	𝑆𝑇𝐵(𝑡	𝑆𝑇𝐵(𝑡	NUM
cana-1116	136	4	)	)	PUNCT
cana-1116	136	5	≥	≥	NOUN
cana-1116	136	6	0	0	NUM
cana-1116	136	7	(	(	PUNCT
cana-1116	136	8	12	12	NUM
cana-1116	136	9	)	)	PUNCT
cana-1116	136	10	theorem	theorem	VERB
cana-1116	136	11	3	3	NUM
cana-1116	136	12	area	area	NOUN
cana-1116	136	13	ω	ω	PROPN
cana-1116	136	14	⊂	⊂	PROPN
cana-1116	136	15	𝑅+	𝑅+	PROPN
cana-1116	136	16	6	6	NUM
cana-1116	136	17	,	,	PUNCT
cana-1116	136	18	is	be	AUX
cana-1116	136	19	defined	define	VERB
cana-1116	136	20	as	as	SCONJ
cana-1116	136	21	follows	follow	VERB
cana-1116	136	22	:	:	PUNCT
cana-1116	136	23	the	the	DET
cana-1116	136	24	system	system	NOUN
cana-1116	136	25	(	(	PUNCT
cana-1116	136	26	1	1	X
cana-1116	136	27	)	)	PUNCT
cana-1116	136	28	solutions	solution	NOUN
cana-1116	136	29	with	with	ADP
cana-1116	136	30	initial	initial	ADJ
cana-1116	136	31	condition	condition	NOUN
cana-1116	136	32	(	(	PUNCT
cana-1116	136	33	2	2	X
cana-1116	136	34	)	)	PUNCT
cana-1116	136	35	are	be	AUX
cana-1116	136	36	given	give	VERB
cana-1116	136	37	.	.	PUNCT
cana-1116	137	1	ω	ω	X
cana-1116	137	2	=	=	SYM
cana-1116	137	3	{	{	PUNCT
cana-1116	137	4	(	(	PUNCT
cana-1116	137	5	𝑆𝑇𝐵(𝑡	𝑆𝑇𝐵(𝑡	PROPN
cana-1116	137	6	)	)	PUNCT
cana-1116	137	7	,	,	PUNCT
cana-1116	137	8	𝑉𝑇𝐵(𝑡	𝑉𝑇𝐵(𝑡	PROPN
cana-1116	137	9	)	)	PUNCT
cana-1116	137	10	,	,	PUNCT
cana-1116	137	11	𝐸𝑇𝐵(𝑡	𝐸𝑇𝐵(𝑡	NOUN
cana-1116	137	12	)	)	PUNCT
cana-1116	137	13	,	,	PUNCT
cana-1116	137	14	𝐼𝑇𝐵(𝑡	𝐼𝑇𝐵(𝑡	NOUN
cana-1116	137	15	)	)	PUNCT
cana-1116	137	16	,	,	PUNCT
cana-1116	137	17	𝐶𝑇𝐵(𝑡	𝐶𝑇𝐵(𝑡	PROPN
cana-1116	137	18	)	)	PUNCT
cana-1116	137	19	,	,	PUNCT
cana-1116	137	20	𝑅𝑇𝐵(𝑡	𝑅𝑇𝐵(𝑡	NUM
cana-1116	137	21	)	)	PUNCT
cana-1116	137	22	)	)	PUNCT
cana-1116	137	23	∈	∈	PROPN
cana-1116	137	24	𝑅+	𝑅+	NUM
cana-1116	137	25	6	6	NUM
cana-1116	137	26	𝑁(𝑡	𝑁(𝑡	NUM
cana-1116	137	27	)	)	PUNCT
cana-1116	137	28	≤	≤	NUM
cana-1116	138	1	λ	λ	PROPN
cana-1116	138	2	𝜇	𝜇	ADP
cana-1116	138	3	}	}	PUNCT
cana-1116	138	4	(	(	PUNCT
cana-1116	138	5	13	13	NUM
cana-1116	138	6	)	)	PUNCT
cana-1116	138	7	proof	proof	NOUN
cana-1116	138	8	by	by	ADP
cana-1116	138	9	taking	take	VERB
cana-1116	138	10	the	the	DET
cana-1116	138	11	total	total	ADJ
cana-1116	138	12	population	population	NOUN
cana-1116	138	13	,	,	PUNCT
cana-1116	138	14	we	we	PRON
cana-1116	138	15	have	have	VERB
cana-1116	138	16	𝑑𝑁(𝑡	𝑑𝑁(𝑡	PRON
cana-1116	138	17	)	)	PUNCT
cana-1116	138	18	𝑑𝑡	𝑑𝑡	ADP
cana-1116	138	19	=	=	SYM
cana-1116	138	20	𝑑𝑆𝑇𝐵(𝑡	𝑑𝑆𝑇𝐵(𝑡	PROPN
cana-1116	138	21	)	)	PUNCT
cana-1116	138	22	𝑑𝑡	𝑑𝑡	ADP
cana-1116	138	23	+	+	X
cana-1116	138	24	𝑑𝑉𝑇𝐵(𝑡	𝑑𝑉𝑇𝐵(𝑡	PROPN
cana-1116	138	25	)	)	PUNCT
cana-1116	138	26	𝑑𝑡	𝑑𝑡	ADP
cana-1116	138	27	+	+	X
cana-1116	138	28	𝑑𝐸𝑇𝐵(𝑡	𝑑𝐸𝑇𝐵(𝑡	PROPN
cana-1116	138	29	)	)	PUNCT
cana-1116	138	30	𝑑𝑡	𝑑𝑡	ADP
cana-1116	138	31	+	+	ADJ
cana-1116	138	32	𝑑𝐼𝑇𝐵(𝑡	𝑑𝐼𝑇𝐵(𝑡	PROPN
cana-1116	138	33	)	)	PUNCT
cana-1116	138	34	𝑑𝑡	𝑑𝑡	ADP
cana-1116	138	35	+	+	X
cana-1116	138	36	𝑑𝐶𝑇𝐵(𝑡	𝑑𝐶𝑇𝐵(𝑡	ADJ
cana-1116	138	37	)	)	PUNCT
cana-1116	138	38	𝑑𝑡	𝑑𝑡	ADP
cana-1116	138	39	+	+	X
cana-1116	138	40	𝑑𝑅𝑇𝐵(𝑡	𝑑𝑅𝑇𝐵(𝑡	PROPN
cana-1116	138	41	)	)	PUNCT
cana-1116	138	42	𝑑𝑡	𝑑𝑡	ADP
cana-1116	138	43	=	=	PUNCT
cana-1116	138	44	𝑑𝑁	𝑑𝑁	PROPN
cana-1116	138	45	𝑑𝑡	𝑑𝑡	ADP
cana-1116	138	46	=	=	SYM
cana-1116	138	47	λ	λ	PROPN
cana-1116	138	48	−	−	PROPN
cana-1116	138	49	𝜇𝑁	𝜇𝑁	NOUN
cana-1116	138	50	(	(	PUNCT
cana-1116	138	51	14	14	NUM
cana-1116	138	52	)	)	PUNCT
cana-1116	138	53	for	for	ADP
cana-1116	138	54	the	the	DET
cana-1116	138	55	entire	entire	ADJ
cana-1116	138	56	populace	populace	NOUN
cana-1116	138	57	,	,	PUNCT
cana-1116	138	58	we	we	PRON
cana-1116	138	59	have	have	VERB
cana-1116	138	60	the	the	DET
cana-1116	138	61	following	following	NOUN
cana-1116	138	62	:	:	PUNCT
cana-1116	138	63	𝑑𝑁	𝑑𝑁	PROPN
cana-1116	138	64	𝑑𝑡	𝑑𝑡	ADP
cana-1116	138	65	=	=	SYM
cana-1116	138	66	λ	λ	PROPN
cana-1116	138	67	−	−	PROPN
cana-1116	138	68	𝜇𝑁	𝜇𝑁	NOUN
cana-1116	139	1	≤	≤	X
cana-1116	139	2	λ	λ	PROPN
cana-1116	139	3	−	−	PROPN
cana-1116	139	4	𝜇𝑁	𝜇𝑁	NOUN
cana-1116	139	5	the	the	DET
cana-1116	139	6	equation	equation	NOUN
cana-1116	139	7	(	(	PUNCT
cana-1116	139	8	14	14	NUM
cana-1116	139	9	)	)	PUNCT
cana-1116	139	10	solution	solution	NOUN
cana-1116	139	11	is	be	AUX
cana-1116	139	12	presented	present	VERB
cana-1116	139	13	as	as	ADP
cana-1116	139	14	𝑁(𝑡	𝑁(𝑡	NUM
cana-1116	139	15	)	)	PUNCT
cana-1116	139	16	≤	≤	NUM
cana-1116	139	17	λ	λ	PROPN
cana-1116	139	18	𝜇𝑁	𝜇𝑁	NOUN
cana-1116	139	19	−	−	PROPN
cana-1116	139	20	(	(	PUNCT
cana-1116	139	21	λ	λ	X
cana-1116	139	22	𝜇	𝜇	X
cana-1116	139	23	−	−	PROPN
cana-1116	139	24	𝑁0	𝑁0	PROPN
cana-1116	139	25	)	)	PUNCT
cana-1116	139	26	𝑒	𝑒	PROPN
cana-1116	139	27	−𝜇𝑡	−𝜇𝑡	X
cana-1116	139	28	(	(	PUNCT
cana-1116	139	29	15	15	NUM
cana-1116	139	30	)	)	PUNCT
cana-1116	139	31	were	be	AUX
cana-1116	139	32	𝑁0	𝑁0	ADJ
cana-1116	139	33	=	=	PUNCT
cana-1116	139	34	𝑁(0)it	𝑁(0)it	ADJ
cana-1116	139	35	is	be	AUX
cana-1116	139	36	characterized	characterize	VERB
cana-1116	139	37	as	as	ADP
cana-1116	139	38	the	the	DET
cana-1116	139	39	population	population	NOUN
cana-1116	139	40	at	at	ADP
cana-1116	139	41	the	the	DET
cana-1116	139	42	start	start	NOUN
cana-1116	139	43	.	.	PUNCT
cana-1116	140	1	by	by	ADP
cana-1116	140	2	using	use	VERB
cana-1116	140	3	the	the	DET
cana-1116	140	4	brikhoff	brikhoff	NOUN
cana-1116	140	5	-	-	PUNCT
cana-1116	140	6	rota	rota	NOUN
cana-1116	140	7	theorem	theorem	PROPN
cana-1116	140	8	,	,	PUNCT
cana-1116	140	9	we	we	PRON
cana-1116	140	10	can	can	AUX
cana-1116	140	11	state	state	VERB
cana-1116	140	12	that	that	SCONJ
cana-1116	140	13	if	if	SCONJ
cana-1116	140	14	𝑁0	𝑁0	VERB
cana-1116	140	15	<	<	X
cana-1116	140	16	λ	λ	X
cana-1116	140	17	𝜇	𝜇	X
cana-1116	140	18	,	,	PUNCT
cana-1116	140	19	then	then	ADV
cana-1116	140	20	as	as	ADP
cana-1116	140	21	𝑡	𝑡	PROPN
cana-1116	140	22	→	→	SYM
cana-1116	140	23	∞	∞	PROPN
cana-1116	140	24	,	,	PUNCT
cana-1116	140	25	asymptotically	asymptotically	ADV
cana-1116	140	26	𝑁(𝑡	𝑁(𝑡	NUM
cana-1116	140	27	)	)	PUNCT
cana-1116	140	28	→	→	PUNCT
cana-1116	140	29	λ	λ	X
cana-1116	140	30	𝜇	𝜇	X
cana-1116	140	31	in	in	ADP
cana-1116	140	32	equation	equation	NOUN
cana-1116	140	33	(	(	PUNCT
cana-1116	140	34	13	13	NUM
cana-1116	140	35	)	)	PUNCT
cana-1116	140	36	and	and	CCONJ
cana-1116	140	37	over	over	ADP
cana-1116	140	38	the	the	DET
cana-1116	140	39	overall	overall	ADJ
cana-1116	140	40	population	population	NOUN
cana-1116	140	41	size	size	NOUN
cana-1116	140	42	become	become	VERB
cana-1116	140	43	𝑁(𝑡	𝑁(𝑡	NUM
cana-1116	140	44	)	)	PUNCT
cana-1116	140	45	→	→	PUNCT
cana-1116	140	46	λ	λ	X
cana-1116	140	47	𝜇	𝜇	ADP
cana-1116	140	48	,	,	PUNCT
cana-1116	140	49	then	then	ADV
cana-1116	140	50	0	0	NUM
cana-1116	140	51	≤	≤	NOUN
cana-1116	140	52	𝑁	𝑁	PROPN
cana-1116	140	53	≤	≤	NOUN
cana-1116	140	54	λ	λ	PROPN
cana-1116	140	55	𝜇	𝜇	X
cana-1116	140	56	.	.	PUNCT
cana-1116	141	1	as	as	ADP
cana-1116	141	2	a	a	DET
cana-1116	141	3	result	result	NOUN
cana-1116	141	4	of	of	ADP
cana-1116	141	5	this	this	PRON
cana-1116	141	6	,	,	PUNCT
cana-1116	141	7	the	the	DET
cana-1116	141	8	a	a	DET
cana-1116	141	9	region	region	NOUN
cana-1116	141	10	is	be	AUX
cana-1116	141	11	where	where	SCONJ
cana-1116	141	12	all	all	DET
cana-1116	141	13	the	the	DET
cana-1116	141	14	model	model	NOUN
cana-1116	141	15	's	's	PART
cana-1116	141	16	feasible	feasible	ADJ
cana-1116	141	17	options	option	NOUN
cana-1116	141	18	converge	converge	VERB
cana-1116	141	19	.	.	PUNCT
cana-1116	142	1	theorem	theorem	VERB
cana-1116	142	2	4	4	NUM
cana-1116	142	3	in	in	ADP
cana-1116	142	4	the	the	DET
cana-1116	142	5	epidemic	epidemic	NOUN
cana-1116	142	6	model	model	NOUN
cana-1116	142	7	,	,	PUNCT
cana-1116	142	8	the	the	DET
cana-1116	142	9	dfep	dfep	NOUN
cana-1116	142	10	ω	ω	NOUN
cana-1116	142	11	is	be	AUX
cana-1116	142	12	locally	locally	ADV
cana-1116	142	13	asymptotically	asymptotically	ADV
cana-1116	142	14	stable	stable	ADJ
cana-1116	142	15	(	(	PUNCT
cana-1116	142	16	las	las	NOUN
cana-1116	142	17	)	)	PUNCT
cana-1116	142	18	if	if	SCONJ
cana-1116	142	19	𝑅0	𝑅0	VERB
cana-1116	142	20	<	<	X
cana-1116	142	21	1	1	NUM
cana-1116	142	22	else	else	ADV
cana-1116	142	23	unstable	unstable	ADJ
cana-1116	142	24	.	.	PUNCT
cana-1116	143	1	proof	proof	NOUN
cana-1116	143	2	let	let	VERB
cana-1116	143	3	us	we	PRON
cana-1116	143	4	now	now	ADV
cana-1116	143	5	consider	consider	VERB
cana-1116	143	6	the	the	DET
cana-1116	143	7	following	follow	VERB
cana-1116	143	8	jacobian	jacobian	ADJ
cana-1116	143	9	matrix	matrix	NOUN
cana-1116	143	10	to	to	PART
cana-1116	143	11	illustrate	illustrate	VERB
cana-1116	143	12	the	the	DET
cana-1116	143	13	stability	stability	NOUN
cana-1116	143	14	requirements	requirement	NOUN
cana-1116	143	15	at	at	ADP
cana-1116	143	16	the	the	DET
cana-1116	143	17	dfe	dfe	PROPN
cana-1116	143	18	point	point	NOUN
cana-1116	143	19	denoted	denote	VERB
cana-1116	143	20	by	by	ADP
cana-1116	143	21	ω	ω	PROPN
cana-1116	143	22	.	.	PUNCT
cana-1116	144	1	identifying	identify	VERB
cana-1116	144	2	the	the	DET
cana-1116	144	3	jacobi	jacobi	PROPN
cana-1116	144	4	matrix	matrix	NOUN
cana-1116	144	5	equation	equation	NOUN
cana-1116	144	6	(	(	PUNCT
cana-1116	144	7	1	1	NUM
cana-1116	144	8	)	)	PUNCT
cana-1116	144	9	,	,	PUNCT
cana-1116	144	10	which	which	PRON
cana-1116	144	11	is	be	AUX
cana-1116	144	12	as	as	SCONJ
cana-1116	144	13	follows	follow	NOUN
cana-1116	144	14	,	,	PUNCT
cana-1116	144	15	is	be	AUX
cana-1116	144	16	the	the	DET
cana-1116	144	17	first	first	ADJ
cana-1116	144	18	stage	stage	NOUN
cana-1116	144	19	in	in	ADP
cana-1116	144	20	the	the	DET
cana-1116	144	21	equilibrium	equilibrium	NOUN
cana-1116	144	22	point	point	NOUN
cana-1116	144	23	stability	stability	NOUN
cana-1116	144	24	evaluation	evaluation	NOUN
cana-1116	144	25	of	of	ADP
cana-1116	144	26	the	the	DET
cana-1116	144	27	sveicr	sveicr	PROPN
cana-1116	144	28	model	model	NOUN
cana-1116	144	29	for	for	ADP
cana-1116	144	30	tb	tb	ADP
cana-1116	144	31	infection	infection	NOUN
cana-1116	144	32	.	.	PUNCT
cana-1116	145	1	communications	communication	NOUN
cana-1116	145	2	on	on	ADP
cana-1116	145	3	applied	apply	VERB
cana-1116	145	4	nonlinear	nonlinear	ADJ
cana-1116	145	5	analysis	analysis	NOUN
cana-1116	145	6	issn	issn	NOUN
cana-1116	145	7	:	:	PUNCT
cana-1116	145	8	1074	1074	NUM
cana-1116	145	9	-	-	PUNCT
cana-1116	145	10	133x	133x	NUM
cana-1116	145	11	vol	vol	NOUN
cana-1116	145	12	31	31	NUM
cana-1116	145	13	no	no	NOUN
cana-1116	145	14	.	.	PUNCT
cana-1116	146	1	6s	6s	NUM
cana-1116	146	2	(	(	PUNCT
cana-1116	146	3	2024	2024	NUM
cana-1116	146	4	)	)	PUNCT
cana-1116	146	5	22	22	NUM
cana-1116	147	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	147	2	j(ω	j(ω	PROPN
cana-1116	147	3	)	)	PUNCT
cana-1116	148	1	=	=	PUNCT
cana-1116	148	2	|	|	ADV
cana-1116	148	3	|	|	ADV
cana-1116	148	4	−(𝜇	−(𝜇	NOUN
cana-1116	149	1	+	+	CCONJ
cana-1116	149	2	𝜉	𝜉	X
cana-1116	149	3	+	+	NUM
cana-1116	149	4	𝛽𝑝	𝛽𝑝	NOUN
cana-1116	149	5	)	)	PUNCT
cana-1116	149	6	𝜃	𝜃	NOUN
cana-1116	149	7	0	0	NUM
cana-1116	149	8	0	0	NUM
cana-1116	149	9	0	0	NUM
cana-1116	149	10	𝛾	𝛾	NOUN
cana-1116	149	11	𝜉	𝜉	X
cana-1116	149	12	−(𝜇	−(𝜇	NOUN
cana-1116	149	13	+	+	CCONJ
cana-1116	149	14	𝛽𝑢	𝛽𝑢	X
cana-1116	149	15	+	+	NUM
cana-1116	149	16	𝜃	𝜃	NOUN
cana-1116	149	17	)	)	PUNCT
cana-1116	149	18	0	0	NUM
cana-1116	149	19	0	0	NUM
cana-1116	149	20	0	0	NUM
cana-1116	149	21	0	0	NUM
cana-1116	149	22	𝛽𝑝	𝛽𝑝	NOUN
cana-1116	149	23	𝛽𝑢	𝛽𝑢	ADP
cana-1116	149	24	−(𝜇	−(𝜇	NOUN
cana-1116	149	25	+	+	PROPN
cana-1116	149	26	𝛽𝑞	𝛽𝑞	PROPN
cana-1116	149	27	)	)	PUNCT
cana-1116	149	28	0	0	NUM
cana-1116	149	29	0	0	NUM
cana-1116	149	30	𝜎𝛽	𝜎𝛽	NUM
cana-1116	149	31	0	0	NUM
cana-1116	149	32	0	0	NUM
cana-1116	150	1	𝛽𝑞	𝛽𝑞	NOUN
cana-1116	150	2	−(𝜇	−(𝜇	NOUN
cana-1116	150	3	+	+	CCONJ
cana-1116	150	4	𝜏	𝜏	X
cana-1116	150	5	)	)	PUNCT
cana-1116	150	6	0	0	NUM
cana-1116	150	7	0	0	NUM
cana-1116	150	8	0	0	NUM
cana-1116	150	9	0	0	NUM
cana-1116	150	10	0	0	NUM
cana-1116	150	11	𝜏	𝜏	PRON
cana-1116	150	12	−(𝜇	−(𝜇	NOUN
cana-1116	150	13	+	+	CCONJ
cana-1116	150	14	𝜋	𝜋	NOUN
cana-1116	150	15	)	)	PUNCT
cana-1116	150	16	0	0	NUM
cana-1116	150	17	0	0	NUM
cana-1116	150	18	0	0	NUM
cana-1116	150	19	0	0	NUM
cana-1116	150	20	0	0	NUM
cana-1116	151	1	𝜋	𝜋	NOUN
cana-1116	151	2	−(𝜇	−(𝜇	NOUN
cana-1116	151	3	+	+	CCONJ
cana-1116	151	4	𝛾	𝛾	NOUN
cana-1116	151	5	+	+	NOUN
cana-1116	151	6	𝜎𝛽	𝜎𝛽	X
cana-1116	151	7	)	)	PUNCT
cana-1116	152	1	|	|	ADV
cana-1116	152	2	|	|	ADV
cana-1116	152	3	=	=	SYM
cana-1116	152	4	0	0	PUNCT
cana-1116	153	1	(	(	PUNCT
cana-1116	153	2	16	16	NUM
cana-1116	153	3	)	)	PUNCT
cana-1116	153	4	consequently	consequently	ADV
cana-1116	153	5	,	,	PUNCT
cana-1116	153	6	the	the	DET
cana-1116	153	7	characteristic	characteristic	ADJ
cana-1116	153	8	equation	equation	NOUN
cana-1116	153	9	(	(	PUNCT
cana-1116	153	10	ce	ce	PROPN
cana-1116	153	11	)	)	PUNCT
cana-1116	153	12	of	of	ADP
cana-1116	153	13	matrix	matrix	NOUN
cana-1116	153	14	𝐽(ω	𝐽(ω	NUM
cana-1116	153	15	)	)	PUNCT
cana-1116	153	16	can	can	AUX
cana-1116	153	17	be	be	AUX
cana-1116	153	18	determined	determine	VERB
cana-1116	153	19	as	as	ADP
cana-1116	153	20	ω(λ	ω(λ	NOUN
cana-1116	153	21	)	)	PUNCT
cana-1116	153	22	=	=	SYM
cana-1116	153	23	(	(	PUNCT
cana-1116	153	24	𝜆	𝜆	X
cana-1116	153	25	−	−	PROPN
cana-1116	153	26	(	(	PUNCT
cana-1116	153	27	𝜇	𝜇	X
cana-1116	153	28	+	+	X
cana-1116	153	29	𝜉	𝜉	X
cana-1116	153	30	+	+	NUM
cana-1116	153	31	𝛽𝑝	𝛽𝑝	NOUN
cana-1116	153	32	)	)	PUNCT
cana-1116	153	33	)	)	PUNCT
cana-1116	154	1	(	(	PUNCT
cana-1116	154	2	𝜆	𝜆	X
cana-1116	154	3	−	−	PROPN
cana-1116	154	4	(	(	PUNCT
cana-1116	154	5	𝜇	𝜇	X
cana-1116	154	6	+	+	X
cana-1116	154	7	𝛽𝑢	𝛽𝑢	ADP
cana-1116	154	8	+	+	NUM
cana-1116	154	9	𝜃	𝜃	NOUN
cana-1116	154	10	)	)	PUNCT
cana-1116	154	11	)	)	PUNCT
cana-1116	155	1	(	(	PUNCT
cana-1116	155	2	𝜆	𝜆	X
cana-1116	155	3	−	−	PROPN
cana-1116	155	4	(	(	PUNCT
cana-1116	155	5	𝜇	𝜇	X
cana-1116	155	6	+	+	X
cana-1116	155	7	𝛽𝑞	𝛽𝑞	NOUN
cana-1116	155	8	)	)	PUNCT
cana-1116	155	9	)	)	PUNCT
cana-1116	156	1	(	(	PUNCT
cana-1116	156	2	𝜆	𝜆	X
cana-1116	156	3	−	−	PROPN
cana-1116	156	4	(	(	PUNCT
cana-1116	156	5	𝜇	𝜇	X
cana-1116	156	6	+	+	X
cana-1116	156	7	𝜏))(𝜆	𝜏))(𝜆	NOUN
cana-1116	156	8	−	−	PROPN
cana-1116	156	9	(	(	PUNCT
cana-1116	156	10	𝜇	𝜇	X
cana-1116	156	11	+	+	X
cana-1116	156	12	𝜋	𝜋	NOUN
cana-1116	156	13	)	)	PUNCT
cana-1116	156	14	)	)	PUNCT
cana-1116	157	1	(	(	PUNCT
cana-1116	157	2	𝜆	𝜆	X
cana-1116	157	3	−	−	PROPN
cana-1116	157	4	(	(	PUNCT
cana-1116	157	5	𝜇	𝜇	X
cana-1116	157	6	+	+	X
cana-1116	157	7	𝛾	𝛾	NOUN
cana-1116	157	8	+	+	NOUN
cana-1116	157	9	𝜎𝛽	𝜎𝛽	NUM
cana-1116	157	10	)	)	PUNCT
cana-1116	157	11	)	)	PUNCT
cana-1116	158	1	=	=	SYM
cana-1116	158	2	0	0	PUNCT
cana-1116	158	3	(	(	PUNCT
cana-1116	158	4	17	17	NUM
cana-1116	158	5	)	)	PUNCT
cana-1116	158	6	where	where	SCONJ
cana-1116	158	7	𝜆1	𝜆1	NOUN
cana-1116	158	8	=	=	PUNCT
cana-1116	158	9	−(𝜇	−(𝜇	PROPN
cana-1116	158	10	+	+	CCONJ
cana-1116	158	11	𝜉	𝜉	X
cana-1116	158	12	+	+	NUM
cana-1116	158	13	𝛽𝑝	𝛽𝑝	NOUN
cana-1116	158	14	)	)	PUNCT
cana-1116	158	15	(	(	PUNCT
cana-1116	158	16	18	18	NUM
cana-1116	158	17	)	)	PUNCT
cana-1116	158	18	𝜆2	𝜆2	NOUN
cana-1116	158	19	=	=	PUNCT
cana-1116	159	1	−(𝜇	−(𝜇	PROPN
cana-1116	159	2	+	+	CCONJ
cana-1116	159	3	𝛽𝑢	𝛽𝑢	X
cana-1116	159	4	+	+	NUM
cana-1116	159	5	𝜃	𝜃	NOUN
cana-1116	159	6	)	)	PUNCT
cana-1116	159	7	(	(	PUNCT
cana-1116	159	8	19	19	NUM
cana-1116	159	9	)	)	PUNCT
cana-1116	159	10	𝜆3	𝜆3	NOUN
cana-1116	159	11	=	=	NOUN
cana-1116	160	1	−(𝜇	−(𝜇	PROPN
cana-1116	160	2	+	+	CCONJ
cana-1116	160	3	𝛽𝑞	𝛽𝑞	NOUN
cana-1116	160	4	)	)	PUNCT
cana-1116	160	5	(	(	PUNCT
cana-1116	160	6	20	20	NUM
cana-1116	160	7	)	)	PUNCT
cana-1116	160	8	𝜆4	𝜆4	NOUN
cana-1116	160	9	=	=	SYM
cana-1116	161	1	−(𝜇	−(𝜇	PROPN
cana-1116	161	2	+	+	CCONJ
cana-1116	161	3	𝜏	𝜏	X
cana-1116	161	4	)	)	PUNCT
cana-1116	161	5	(	(	PUNCT
cana-1116	161	6	21	21	NUM
cana-1116	161	7	)	)	PUNCT
cana-1116	161	8	𝜆5	𝜆5	NOUN
cana-1116	162	1	=	=	PUNCT
cana-1116	162	2	−(𝜇	−(𝜇	NOUN
cana-1116	162	3	+	+	CCONJ
cana-1116	162	4	𝜋	𝜋	NOUN
cana-1116	162	5	)	)	PUNCT
cana-1116	162	6	(	(	PUNCT
cana-1116	162	7	22	22	NUM
cana-1116	162	8	)	)	PUNCT
cana-1116	162	9	𝜆6	𝜆6	PROPN
cana-1116	163	1	=	=	SYM
cana-1116	163	2	−(𝜇	−(𝜇	PROPN
cana-1116	163	3	+	+	CCONJ
cana-1116	163	4	𝛾	𝛾	NOUN
cana-1116	163	5	+	+	NOUN
cana-1116	163	6	𝜎𝛽	𝜎𝛽	NUM
cana-1116	163	7	)	)	PUNCT
cana-1116	163	8	(	(	PUNCT
cana-1116	163	9	23	23	X
cana-1116	163	10	)	)	PUNCT
cana-1116	163	11	consist	consist	NOUN
cana-1116	163	12	of	of	ADP
cana-1116	163	13	the	the	DET
cana-1116	163	14	ce	ce	PROPN
cana-1116	163	15	's	's	PART
cana-1116	163	16	solutions	solution	NOUN
cana-1116	163	17	.	.	PUNCT
cana-1116	164	1	it	it	PRON
cana-1116	164	2	is	be	AUX
cana-1116	164	3	clear	clear	ADJ
cana-1116	164	4	that	that	SCONJ
cana-1116	164	5	𝜆1	𝜆1	NOUN
cana-1116	164	6	,	,	PUNCT
cana-1116	164	7	𝜆2	𝜆2	PROPN
cana-1116	164	8	,	,	PUNCT
cana-1116	164	9	𝜆3	𝜆3	NOUN
cana-1116	164	10	,	,	PUNCT
cana-1116	164	11	𝜆4	𝜆4	NOUN
cana-1116	164	12	,	,	PUNCT
cana-1116	164	13	𝜆5	𝜆5	PROPN
cana-1116	164	14	,	,	PUNCT
cana-1116	164	15	𝜆6	𝜆6	PROPN
cana-1116	164	16	are	be	AUX
cana-1116	164	17	negative	negative	ADJ
cana-1116	164	18	.	.	PUNCT
cana-1116	165	1	therefore	therefore	ADV
cana-1116	165	2	,	,	PUNCT
cana-1116	165	3	the	the	DET
cana-1116	165	4	dfe	dfe	PROPN
cana-1116	165	5	is	be	AUX
cana-1116	165	6	las	las	PROPN
cana-1116	165	7	.	.	PROPN
cana-1116	165	8	2.7	2.7	NUM
cana-1116	165	9	invariant	invariant	ADJ
cana-1116	165	10	region	region	NOUN
cana-1116	165	11	theorem	theorem	VERB
cana-1116	165	12	5	5	NUM
cana-1116	165	13	assume	assume	VERB
cana-1116	165	14	that	that	SCONJ
cana-1116	165	15	the	the	DET
cana-1116	165	16	model	model	NOUN
cana-1116	165	17	solution	solution	NOUN
cana-1116	165	18	in	in	ADP
cana-1116	165	19	the	the	DET
cana-1116	165	20	set	set	NOUN
cana-1116	165	21	of	of	ADP
cana-1116	165	22	equations	equation	NOUN
cana-1116	165	23	(	(	PUNCT
cana-1116	165	24	1	1	NUM
cana-1116	165	25	)	)	PUNCT
cana-1116	165	26	with	with	ADP
cana-1116	165	27	initial	initial	ADJ
cana-1116	165	28	conditions	condition	NOUN
cana-1116	165	29	in	in	ADP
cana-1116	165	30	ℝ+	ℝ+	PUNCT
cana-1116	165	31	6	6	NUM
cana-1116	165	32	is	be	AUX
cana-1116	165	33	such	such	ADJ
cana-1116	165	34	that	that	SCONJ
cana-1116	165	35	it	it	PRON
cana-1116	165	36	reaches	reach	VERB
cana-1116	165	37	and	and	CCONJ
cana-1116	165	38	stays	stay	VERB
cana-1116	165	39	in	in	ADP
cana-1116	165	40	the	the	DET
cana-1116	165	41	set	set	NOUN
cana-1116	165	42	of	of	ADP
cana-1116	165	43	compact	compact	ADJ
cana-1116	165	44	(	(	PUNCT
cana-1116	165	45	ω	ω	NOUN
cana-1116	165	46	)	)	PUNCT
cana-1116	165	47	as	as	SCONJ
cana-1116	165	48	𝑡	𝑡	PROPN
cana-1116	165	49	⟶	⟶	NOUN
cana-1116	165	50	∞.	∞.	PROPN
cana-1116	165	51	a	a	DET
cana-1116	165	52	positive	positive	ADJ
cana-1116	165	53	invariant	invariant	ADJ
cana-1116	165	54	set	set	NOUN
cana-1116	165	55	of	of	ADP
cana-1116	165	56	the	the	DET
cana-1116	165	57	model	model	NOUN
cana-1116	165	58	indicates	indicate	VERB
cana-1116	165	59	the	the	DET
cana-1116	165	60	feasible	feasible	ADJ
cana-1116	165	61	solution	solution	NOUN
cana-1116	165	62	,	,	PUNCT
cana-1116	165	63	which	which	PRON
cana-1116	165	64	is	be	AUX
cana-1116	165	65	subsequently	subsequently	ADV
cana-1116	165	66	given	give	VERB
cana-1116	165	67	by	by	ADP
cana-1116	165	68	(	(	PUNCT
cana-1116	165	69	14	14	NUM
cana-1116	165	70	)	)	PUNCT
cana-1116	165	71	.	.	PUNCT
cana-1116	166	1	𝒜	𝒜	NOUN
cana-1116	166	2	=	=	SYM
cana-1116	166	3	{	{	PUNCT
cana-1116	166	4	𝑆𝑇𝐵(𝑡	𝑆𝑇𝐵(𝑡	PROPN
cana-1116	166	5	)	)	PUNCT
cana-1116	166	6	+	+	CCONJ
cana-1116	166	7	𝑉𝑇𝐵(𝑡	𝑉𝑇𝐵(𝑡	NOUN
cana-1116	166	8	)	)	PUNCT
cana-1116	166	9	+	+	CCONJ
cana-1116	166	10	𝐸𝑇𝐵(𝑡	𝐸𝑇𝐵(𝑡	NUM
cana-1116	166	11	)	)	PUNCT
cana-1116	166	12	+	+	CCONJ
cana-1116	166	13	𝐼𝑇𝐵(𝑡	𝐼𝑇𝐵(𝑡	NOUN
cana-1116	166	14	)	)	PUNCT
cana-1116	166	15	+	+	X
cana-1116	166	16	𝐶𝑇𝐵(𝑡	𝐶𝑇𝐵(𝑡	NUM
cana-1116	166	17	)	)	PUNCT
cana-1116	166	18	+	+	CCONJ
cana-1116	166	19	𝑅𝑇𝐵(𝑡	𝑅𝑇𝐵(𝑡	NUM
cana-1116	166	20	)	)	PUNCT
cana-1116	166	21	≤	≤	NOUN
cana-1116	166	22	𝑁(𝑡	𝑁(𝑡	NUM
cana-1116	166	23	)	)	PUNCT
cana-1116	166	24	,	,	PUNCT
cana-1116	166	25	𝑁(𝑡	𝑁(𝑡	NOUN
cana-1116	166	26	)	)	PUNCT
cana-1116	166	27	≤	≤	NUM
cana-1116	166	28	λ	λ	PROPN
cana-1116	166	29	𝜇	𝜇	ADP
cana-1116	166	30	}	}	PUNCT
cana-1116	166	31	communications	communication	NOUN
cana-1116	166	32	on	on	ADP
cana-1116	166	33	applied	apply	VERB
cana-1116	166	34	nonlinear	nonlinear	ADJ
cana-1116	166	35	analysis	analysis	NOUN
cana-1116	166	36	issn	issn	NOUN
cana-1116	166	37	:	:	PUNCT
cana-1116	166	38	1074	1074	NUM
cana-1116	166	39	-	-	PUNCT
cana-1116	166	40	133x	133x	NUM
cana-1116	166	41	vol	vol	NOUN
cana-1116	166	42	31	31	NUM
cana-1116	166	43	no	no	NOUN
cana-1116	166	44	.	.	PUNCT
cana-1116	167	1	6s	6s	NUM
cana-1116	167	2	(	(	PUNCT
cana-1116	167	3	2024	2024	NUM
cana-1116	167	4	)	)	PUNCT
cana-1116	167	5	23	23	NUM
cana-1116	167	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	167	7	proof	proof	NOUN
cana-1116	167	8	according	accord	VERB
cana-1116	167	9	to	to	ADP
cana-1116	167	10	eq	eq	PROPN
cana-1116	167	11	.	.	PUNCT
cana-1116	168	1	(	(	PUNCT
cana-1116	168	2	14	14	NUM
cana-1116	168	3	)	)	PUNCT
cana-1116	168	4	,	,	PUNCT
cana-1116	168	5	deviations	deviation	NOUN
cana-1116	168	6	in	in	ADP
cana-1116	168	7	n	n	PART
cana-1116	168	8	bring	bring	VERB
cana-1116	168	9	about	about	ADP
cana-1116	168	10	each	each	PRON
cana-1116	168	11	of	of	ADP
cana-1116	168	12	the	the	DET
cana-1116	168	13	population	population	NOUN
cana-1116	168	14	components	component	NOUN
cana-1116	168	15	to	to	PART
cana-1116	168	16	change	change	VERB
cana-1116	168	17	i.e.	i.e.	ADV
cana-1116	168	18	,	,	PUNCT
cana-1116	168	19	(	(	PUNCT
cana-1116	168	20	𝑁	𝑁	PROPN
cana-1116	168	21	=	=	SYM
cana-1116	168	22	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	168	23	+	+	CCONJ
cana-1116	168	24	𝑉𝑇𝐵	𝑉𝑇𝐵	NOUN
cana-1116	168	25	+	+	CCONJ
cana-1116	168	26	𝐸𝑇𝐵	𝐸𝑇𝐵	PROPN
cana-1116	168	27	+	+	NUM
cana-1116	168	28	𝐼𝑇𝐵	𝐼𝑇𝐵	NOUN
cana-1116	168	29	+	+	CCONJ
cana-1116	168	30	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	168	31	+	+	CCONJ
cana-1116	168	32	𝑅𝑇𝐵	𝑅𝑇𝐵	PROPN
cana-1116	168	33	)	)	PUNCT
cana-1116	168	34	and	and	CCONJ
cana-1116	168	35	we	we	PRON
cana-1116	168	36	obtain	obtain	VERB
cana-1116	168	37	.	.	PUNCT
cana-1116	169	1	𝑑𝑁	𝑑𝑁	PROPN
cana-1116	169	2	𝑑𝑡	𝑑𝑡	ADP
cana-1116	169	3	=	=	SYM
cana-1116	169	4	λ	λ	PROPN
cana-1116	169	5	−	−	PROPN
cana-1116	169	6	𝜇𝑁	𝜇𝑁	NOUN
cana-1116	169	7	(	(	PUNCT
cana-1116	169	8	24	24	NUM
cana-1116	169	9	)	)	PUNCT
cana-1116	169	10	considered	consider	VERB
cana-1116	169	11	there	there	PRON
cana-1116	169	12	was	be	VERB
cana-1116	169	13	no	no	DET
cana-1116	169	14	infection	infection	NOUN
cana-1116	169	15	at	at	ADP
cana-1116	169	16	the	the	DET
cana-1116	169	17	primordial	primordial	ADJ
cana-1116	169	18	stage	stage	NOUN
cana-1116	169	19	,	,	PUNCT
cana-1116	169	20	𝑑𝑁	𝑑𝑁	PROPN
cana-1116	169	21	𝑑𝑡	𝑑𝑡	ADP
cana-1116	169	22	=	=	SYM
cana-1116	169	23	λ	λ	PROPN
cana-1116	169	24	−𝑁𝜇(𝑡	−𝑁𝜇(𝑡	NOUN
cana-1116	169	25	)	)	PUNCT
cana-1116	169	26	(	(	PUNCT
cana-1116	169	27	25	25	NUM
cana-1116	169	28	)	)	PUNCT
cana-1116	169	29	equation	equation	NOUN
cana-1116	169	30	(	(	PUNCT
cana-1116	169	31	25	25	NUM
cana-1116	169	32	)	)	PUNCT
cana-1116	169	33	indicates	indicate	VERB
cana-1116	169	34	that	that	SCONJ
cana-1116	169	35	if	if	SCONJ
cana-1116	169	36	𝑁(𝑡	𝑁(𝑡	NUM
cana-1116	169	37	)	)	PUNCT
cana-1116	169	38	≥	≥	NOUN
cana-1116	169	39	λ	λ	PROPN
cana-1116	169	40	𝜇	𝜇	X
cana-1116	169	41	,	,	PUNCT
cana-1116	169	42	then	then	ADV
cana-1116	169	43	𝑑𝑁(𝑡	𝑑𝑁(𝑡	CCONJ
cana-1116	169	44	)	)	PUNCT
cana-1116	169	45	𝑑𝑡	𝑑𝑡	ADP
cana-1116	169	46	≤	≤	NOUN
cana-1116	169	47	0	0	NUM
cana-1116	169	48	.	.	PUNCT
cana-1116	170	1	consequently	consequently	ADV
cana-1116	170	2	𝑑𝑁(𝑡	𝑑𝑁(𝑡	NUM
cana-1116	170	3	)	)	PUNCT
cana-1116	170	4	𝑑𝑡	𝑑𝑡	ADP
cana-1116	170	5	≤	≤	NUM
cana-1116	170	6	λ	λ	PROPN
cana-1116	170	7	−	−	PROPN
cana-1116	170	8	𝜇𝑁(𝑡	𝜇𝑁(𝑡	NUM
cana-1116	170	9	)	)	PUNCT
cana-1116	170	10	(	(	PUNCT
cana-1116	170	11	26	26	NUM
cana-1116	170	12	)	)	PUNCT
cana-1116	170	13	by	by	ADP
cana-1116	170	14	rearranging	rearrange	VERB
cana-1116	170	15	the	the	DET
cana-1116	170	16	formula	formula	NOUN
cana-1116	170	17	,	,	PUNCT
cana-1116	170	18	we	we	PRON
cana-1116	170	19	obtain	obtain	VERB
cana-1116	170	20	𝑑𝑁(𝑡	𝑑𝑁(𝑡	PRON
cana-1116	170	21	)	)	PUNCT
cana-1116	170	22	𝑑𝑡	𝑑𝑡	ADP
cana-1116	170	23	+	+	NOUN
cana-1116	170	24	𝜇𝑁(𝑡	𝜇𝑁(𝑡	PART
cana-1116	170	25	)	)	PUNCT
cana-1116	170	26	≤	≤	NUM
cana-1116	170	27	λ	λ	PROPN
cana-1116	170	28	(	(	PUNCT
cana-1116	170	29	27	27	NUM
cana-1116	170	30	)	)	PUNCT
cana-1116	170	31	which	which	PRON
cana-1116	170	32	has	have	VERB
cana-1116	170	33	an	an	DET
cana-1116	170	34	integrating	integrating	NOUN
cana-1116	170	35	factor	factor	NOUN
cana-1116	170	36	and	and	CCONJ
cana-1116	170	37	is	be	AUX
cana-1116	170	38	linear	linear	ADJ
cana-1116	170	39	:	:	PUNCT
cana-1116	170	40	𝐼.	𝐼.	PROPN
cana-1116	170	41	𝐹	𝐹	PROPN
cana-1116	170	42	=	=	PUNCT
cana-1116	170	43	𝑒∫𝜇𝑡	𝑒∫𝜇𝑡	X
cana-1116	171	1	=	=	PUNCT
cana-1116	171	2	𝑒𝜇𝑡	𝑒𝜇𝑡	PROPN
cana-1116	171	3	the	the	DET
cana-1116	171	4	following	follow	VERB
cana-1116	171	5	is	be	AUX
cana-1116	171	6	how	how	SCONJ
cana-1116	171	7	the	the	DET
cana-1116	171	8	general	general	ADJ
cana-1116	171	9	solution	solution	NOUN
cana-1116	171	10	to	to	ADP
cana-1116	171	11	(	(	PUNCT
cana-1116	171	12	14	14	NUM
cana-1116	171	13	)	)	PUNCT
cana-1116	171	14	can	can	AUX
cana-1116	171	15	be	be	AUX
cana-1116	171	16	determined	determine	VERB
cana-1116	171	17	:	:	PUNCT
cana-1116	171	18	𝑁(𝑡	𝑁(𝑡	NUM
cana-1116	171	19	)	)	PUNCT
cana-1116	171	20	.	.	PUNCT
cana-1116	172	1	(	(	PUNCT
cana-1116	172	2	𝐼.	𝐼.	PROPN
cana-1116	172	3	𝐹	𝐹	PROPN
cana-1116	172	4	)	)	PUNCT
cana-1116	172	5	≤	≤	NOUN
cana-1116	172	6	∫(𝐼.	∫(𝐼.	ADP
cana-1116	172	7	𝐹)𝑑𝑡	𝐹)𝑑𝑡	NOUN
cana-1116	172	8	+	+	X
cana-1116	172	9	𝑘	𝑘	X
cana-1116	172	10	(	(	PUNCT
cana-1116	172	11	28	28	NUM
cana-1116	172	12	)	)	PUNCT
cana-1116	172	13	𝑁(𝑡	𝑁(𝑡	NUM
cana-1116	172	14	)	)	PUNCT
cana-1116	172	15	.	.	PUNCT
cana-1116	173	1	𝑒𝜇𝑡	𝑒𝜇𝑡	PROPN
cana-1116	173	2	≤	≤	PROPN
cana-1116	174	1	∫λ𝑒𝜇𝑡𝑑𝑡	∫λ𝑒𝜇𝑡𝑑𝑡	PROPN
cana-1116	174	2	+	+	CCONJ
cana-1116	174	3	𝑘	𝑘	DET
cana-1116	174	4	𝑁(𝑡	𝑁(𝑡	NOUN
cana-1116	174	5	)	)	PUNCT
cana-1116	174	6	.	.	PUNCT
cana-1116	175	1	𝑒𝜇𝑡	𝑒𝜇𝑡	PROPN
cana-1116	175	2	≤	≤	PROPN
cana-1116	175	3	λ𝑒𝜇𝑡	λ𝑒𝜇𝑡	ADV
cana-1116	175	4	𝜇	𝜇	ADP
cana-1116	175	5	+	+	X
cana-1116	175	6	𝑘	𝑘	DET
cana-1116	175	7	𝑁(𝑡	𝑁(𝑡	NOUN
cana-1116	175	8	)	)	PUNCT
cana-1116	175	9	≤	≤	NUM
cana-1116	176	1	λ	λ	PROPN
cana-1116	176	2	𝜇	𝜇	ADP
cana-1116	176	3	+	+	X
cana-1116	176	4	𝑒𝜇𝑡𝑘	𝑒𝜇𝑡𝑘	ADJ
cana-1116	176	5	(	(	PUNCT
cana-1116	176	6	29	29	NUM
cana-1116	176	7	)	)	PUNCT
cana-1116	176	8	𝑁(𝑡	𝑁(𝑡	PUNCT
cana-1116	176	9	=	=	SYM
cana-1116	176	10	0	0	NUM
cana-1116	176	11	)	)	PUNCT
cana-1116	177	1	=	=	VERB
cana-1116	177	2	𝑁0	𝑁0	ADJ
cana-1116	177	3	we	we	PRON
cana-1116	177	4	have	have	VERB
cana-1116	177	5	𝑁(0	𝑁(0	VERB
cana-1116	177	6	)	)	PUNCT
cana-1116	177	7	=	=	SYM
cana-1116	178	1	λ	λ	X
cana-1116	178	2	𝜇	𝜇	ADP
cana-1116	178	3	+	+	X
cana-1116	178	4	𝑘	𝑘	X
cana-1116	178	5	[	[	X
cana-1116	178	6	𝑁(0	𝑁(0	NOUN
cana-1116	178	7	)	)	PUNCT
cana-1116	178	8	−	−	PROPN
cana-1116	179	1	λ	λ	INTJ
cana-1116	179	2	𝜇	𝜇	X
cana-1116	179	3	]	]	X
cana-1116	179	4	=	=	SYM
cana-1116	179	5	𝑘	𝑘	X
cana-1116	179	6	(	(	PUNCT
cana-1116	179	7	30	30	NUM
cana-1116	179	8	)	)	PUNCT
cana-1116	179	9	from	from	ADP
cana-1116	179	10	equation	equation	NOUN
cana-1116	179	11	(	(	PUNCT
cana-1116	179	12	27	27	NUM
cana-1116	179	13	)	)	PUNCT
cana-1116	179	14	and	and	CCONJ
cana-1116	179	15	(	(	PUNCT
cana-1116	179	16	28	28	NUM
cana-1116	179	17	)	)	PUNCT
cana-1116	179	18	we	we	PRON
cana-1116	179	19	have	have	VERB
cana-1116	179	20	𝑁(𝑡	𝑁(𝑡	NUM
cana-1116	179	21	)	)	PUNCT
cana-1116	179	22	≤	≤	NUM
cana-1116	179	23	λ	λ	PROPN
cana-1116	179	24	𝜇	𝜇	X
cana-1116	179	25	+	+	X
cana-1116	179	26	(	(	PUNCT
cana-1116	179	27	𝑁0	𝑁0	ADJ
cana-1116	179	28	−	−	PROPN
cana-1116	179	29	λ	λ	PROPN
cana-1116	179	30	𝜇	𝜇	X
cana-1116	179	31	)	)	PUNCT
cana-1116	179	32	𝑒−𝜇𝑡	𝑒−𝜇𝑡	PROPN
cana-1116	179	33	(	(	PUNCT
cana-1116	179	34	31	31	NUM
cana-1116	179	35	)	)	PUNCT
cana-1116	179	36	as	as	SCONJ
cana-1116	179	37	𝑡	𝑡	PROPN
cana-1116	179	38	→	→	SYM
cana-1116	179	39	∞	∞	PROPN
cana-1116	179	40	in	in	ADP
cana-1116	179	41	the	the	DET
cana-1116	179	42	number	number	NOUN
cana-1116	179	43	of	of	ADP
cana-1116	179	44	individuals	individual	NOUN
cana-1116	179	45	decreases	decrease	VERB
cana-1116	179	46	to	to	ADP
cana-1116	179	47	𝑁(𝑡	𝑁(𝑡	NUM
cana-1116	179	48	)	)	PUNCT
cana-1116	179	49	≤	≤	NOUN
cana-1116	179	50	in	in	ADP
cana-1116	179	51	(	(	PUNCT
cana-1116	179	52	31	31	NUM
cana-1116	179	53	)	)	PUNCT
cana-1116	179	54	,	,	PUNCT
cana-1116	179	55	as	as	ADP
cana-1116	179	56	t	t	PROPN
cana-1116	179	57	→	→	SYM
cana-1116	179	58	∞.	∞.	PROPN
cana-1116	179	59	thus	thus	ADV
cana-1116	179	60	,	,	PUNCT
cana-1116	179	61	it	it	PRON
cana-1116	179	62	follows	follow	VERB
cana-1116	179	63	that	that	SCONJ
cana-1116	179	64	at	at	ADP
cana-1116	179	65	that	that	DET
cana-1116	179	66	point	point	NOUN
cana-1116	179	67	,	,	PUNCT
cana-1116	179	68	0	0	NUM
cana-1116	179	69	≤	≤	NUM
cana-1116	179	70	𝑁(𝑡	𝑁(𝑡	NOUN
cana-1116	179	71	)	)	PUNCT
cana-1116	179	72	≤	≤	NUM
cana-1116	179	73	λ	λ	PROPN
cana-1116	179	74	𝜇	𝜇	NOUN
cana-1116	179	75	,	,	PUNCT
cana-1116	179	76	and	and	CCONJ
cana-1116	179	77	the	the	DET
cana-1116	179	78	directions	direction	NOUN
cana-1116	179	79	of	of	ADP
cana-1116	179	80	the	the	DET
cana-1116	179	81	equation	equation	NOUN
cana-1116	179	82	of	of	ADP
cana-1116	179	83	models	model	NOUN
cana-1116	179	84	(	(	PUNCT
cana-1116	179	85	1	1	X
cana-1116	179	86	)	)	PUNCT
cana-1116	179	87	are	be	AUX
cana-1116	179	88	constrained	constrain	VERB
cana-1116	179	89	in	in	ADP
cana-1116	179	90	the	the	DET
cana-1116	179	91	region	region	NOUN
cana-1116	179	92	𝒜.the	𝒜.the	DET
cana-1116	179	93	proof	proof	NOUN
cana-1116	179	94	is	be	AUX
cana-1116	179	95	now	now	ADV
cana-1116	179	96	complete	complete	ADJ
cana-1116	179	97	.	.	PUNCT
cana-1116	180	1	as	as	ADP
cana-1116	180	2	an	an	DET
cana-1116	180	3	illustration	illustration	NOUN
cana-1116	180	4	,	,	PUNCT
cana-1116	180	5	if	if	SCONJ
cana-1116	180	6	∀𝑡	∀𝑡	PROPN
cana-1116	180	7	>	>	X
cana-1116	180	8	0	0	NUM
cana-1116	180	9	,	,	PUNCT
cana-1116	180	10	the	the	DET
cana-1116	180	11	region	region	NOUN
cana-1116	180	12	indicated	indicate	VERB
cana-1116	180	13	by	by	ADP
cana-1116	180	14	,	,	PUNCT
cana-1116	180	15	communications	communication	NOUN
cana-1116	180	16	on	on	ADP
cana-1116	180	17	applied	apply	VERB
cana-1116	180	18	nonlinear	nonlinear	ADJ
cana-1116	180	19	analysis	analysis	NOUN
cana-1116	180	20	issn	issn	NOUN
cana-1116	180	21	:	:	PUNCT
cana-1116	180	22	1074	1074	NUM
cana-1116	180	23	-	-	PUNCT
cana-1116	180	24	133x	133x	NUM
cana-1116	180	25	vol	vol	NOUN
cana-1116	180	26	31	31	NUM
cana-1116	180	27	no	no	NOUN
cana-1116	180	28	.	.	PUNCT
cana-1116	181	1	6s	6s	NUM
cana-1116	181	2	(	(	PUNCT
cana-1116	181	3	2024	2024	NUM
cana-1116	181	4	)	)	PUNCT
cana-1116	181	5	24	24	NUM
cana-1116	181	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	181	7	𝒜	𝒜	NOUN
cana-1116	181	8	=	=	SYM
cana-1116	181	9	{	{	PUNCT
cana-1116	181	10	(	(	PUNCT
cana-1116	181	11	𝑆𝑇𝐵(𝑡	𝑆𝑇𝐵(𝑡	PROPN
cana-1116	181	12	)	)	PUNCT
cana-1116	181	13	,	,	PUNCT
cana-1116	181	14	𝑉𝑇𝐵(𝑡	𝑉𝑇𝐵(𝑡	PROPN
cana-1116	181	15	)	)	PUNCT
cana-1116	181	16	,	,	PUNCT
cana-1116	181	17	𝐸𝑇𝐵(𝑡	𝐸𝑇𝐵(𝑡	NOUN
cana-1116	181	18	)	)	PUNCT
cana-1116	181	19	,	,	PUNCT
cana-1116	181	20	𝐼𝑇𝐵(𝑡	𝐼𝑇𝐵(𝑡	NOUN
cana-1116	181	21	)	)	PUNCT
cana-1116	181	22	,	,	PUNCT
cana-1116	181	23	𝐶𝑇𝐵(𝑡	𝐶𝑇𝐵(𝑡	PROPN
cana-1116	181	24	)	)	PUNCT
cana-1116	181	25	,	,	PUNCT
cana-1116	181	26	𝑅𝑇𝐵(𝑡	𝑅𝑇𝐵(𝑡	PROPN
cana-1116	181	27	)	)	PUNCT
cana-1116	181	28	∈	∈	PROPN
cana-1116	181	29	𝑅	𝑅	PROPN
cana-1116	181	30	6	6	NUM
cana-1116	181	31	≥	≥	NOUN
cana-1116	181	32	0	0	NUM
cana-1116	182	1	𝑆𝑇𝐵(𝑡	𝑆𝑇𝐵(𝑡	NUM
cana-1116	182	2	)	)	PUNCT
cana-1116	183	1	+	+	CCONJ
cana-1116	183	2	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	183	3	+	+	CCONJ
cana-1116	183	4	𝐸𝑇𝐵(𝑡	𝐸𝑇𝐵(𝑡	NOUN
cana-1116	183	5	)	)	PUNCT
cana-1116	183	6	+	+	CCONJ
cana-1116	183	7	𝐼𝑇𝐵(𝑡	𝐼𝑇𝐵(𝑡	NOUN
cana-1116	183	8	)	)	PUNCT
cana-1116	183	9	+	+	X
cana-1116	183	10	𝐶𝑇𝐵(𝑡	𝐶𝑇𝐵(𝑡	NUM
cana-1116	183	11	)	)	PUNCT
cana-1116	183	12	+	+	CCONJ
cana-1116	183	13	𝑅𝑇𝐵(𝑡	𝑅𝑇𝐵(𝑡	NUM
cana-1116	183	14	)	)	PUNCT
cana-1116	183	15	≤	≤	NOUN
cana-1116	183	16	𝑁(𝑡	𝑁(𝑡	NUM
cana-1116	183	17	)	)	PUNCT
cana-1116	183	18	,	,	PUNCT
cana-1116	183	19	𝑁(𝑡	𝑁(𝑡	NOUN
cana-1116	183	20	)	)	PUNCT
cana-1116	183	21	≤	≤	NUM
cana-1116	184	1	λ	λ	PROPN
cana-1116	184	2	𝜇	𝜇	ADP
cana-1116	184	3	}	}	PUNCT
cana-1116	184	4	(	(	PUNCT
cana-1116	184	5	32	32	NUM
cana-1116	184	6	)	)	PUNCT
cana-1116	184	7	symbolizes	symbolize	VERB
cana-1116	184	8	the	the	DET
cana-1116	184	9	model	model	NOUN
cana-1116	184	10	's	's	PART
cana-1116	184	11	feasible	feasible	ADJ
cana-1116	184	12	area	area	NOUN
cana-1116	184	13	ω	ω	PROPN
cana-1116	184	14	must	must	AUX
cana-1116	184	15	be	be	AUX
cana-1116	184	16	positively	positively	ADV
cana-1116	184	17	invariant	invariant	ADJ
cana-1116	184	18	in	in	ADP
cana-1116	184	19	light	light	NOUN
cana-1116	184	20	of	of	ADP
cana-1116	184	21	this	this	PRON
cana-1116	184	22	.	.	PUNCT
cana-1116	185	1	therefore	therefore	ADV
cana-1116	185	2	,	,	PUNCT
cana-1116	185	3	the	the	DET
cana-1116	185	4	model	model	NOUN
cana-1116	185	5	presented	present	VERB
cana-1116	185	6	in	in	ADP
cana-1116	185	7	eqs	eqs	PROPN
cana-1116	185	8	.	.	PUNCT
cana-1116	186	1	(	(	PUNCT
cana-1116	186	2	1	1	X
cana-1116	186	3	)	)	PUNCT
cana-1116	186	4	is	be	AUX
cana-1116	186	5	extremely	extremely	ADV
cana-1116	186	6	well	well	ADV
cana-1116	186	7	presented	present	VERB
cana-1116	186	8	both	both	PRON
cana-1116	186	9	epidemiologically	epidemiologically	ADV
cana-1116	186	10	and	and	CCONJ
cana-1116	186	11	analytically	analytically	ADV
cana-1116	186	12	.	.	PUNCT
cana-1116	187	1	thus	thus	ADV
cana-1116	187	2	,	,	PUNCT
cana-1116	187	3	it	it	PRON
cana-1116	187	4	is	be	AUX
cana-1116	187	5	adequate	adequate	ADJ
cana-1116	187	6	to	to	PART
cana-1116	187	7	solely	solely	ADV
cana-1116	187	8	focus	focus	VERB
cana-1116	187	9	on	on	ADP
cana-1116	187	10	the	the	DET
cana-1116	187	11	model	model	NOUN
cana-1116	187	12	's	's	PART
cana-1116	187	13	dynamics	dynamic	NOUN
cana-1116	187	14	in	in	ADP
cana-1116	187	15	the	the	DET
cana-1116	187	16	region	region	NOUN
cana-1116	187	17	ω	ω	PROPN
cana-1116	187	18	.	.	PUNCT
cana-1116	188	1	theorem	theorem	VERB
cana-1116	188	2	6	6	NUM
cana-1116	188	3	if	if	SCONJ
cana-1116	188	4	𝑅0	𝑅0	PROPN
cana-1116	188	5	>	>	X
cana-1116	188	6	1	1	NUM
cana-1116	188	7	,	,	PUNCT
cana-1116	188	8	then	then	ADV
cana-1116	188	9	gas	gas	NOUN
cana-1116	188	10	,	,	PUNCT
cana-1116	188	11	which	which	PRON
cana-1116	188	12	is	be	AUX
cana-1116	188	13	comprised	comprise	VERB
cana-1116	188	14	of	of	ADP
cana-1116	188	15	area	area	NOUN
cana-1116	188	16	ω	ω	PROPN
cana-1116	188	17	is	be	AUX
cana-1116	188	18	the	the	DET
cana-1116	188	19	endemic	endemic	ADJ
cana-1116	188	20	's	's	PART
cana-1116	188	21	point	point	NOUN
cana-1116	188	22	of	of	ADP
cana-1116	188	23	equilibrium	equilibrium	NOUN
cana-1116	188	24	.	.	PUNCT
cana-1116	189	1	proof	proof	NOUN
cana-1116	189	2	in	in	ADP
cana-1116	189	3	order	order	NOUN
cana-1116	189	4	to	to	PART
cana-1116	189	5	determine	determine	VERB
cana-1116	189	6	the	the	DET
cana-1116	189	7	global	global	ADJ
cana-1116	189	8	stability	stability	NOUN
cana-1116	189	9	initially	initially	ADV
cana-1116	189	10	,	,	PUNCT
cana-1116	189	11	we	we	PRON
cana-1116	189	12	presume	presume	VERB
cana-1116	189	13	that	that	SCONJ
cana-1116	189	14	𝑅0	𝑅0	NOUN
cana-1116	189	15	>	>	X
cana-1116	189	16	1	1	NUM
cana-1116	189	17	,	,	PUNCT
cana-1116	189	18	meaning	mean	VERB
cana-1116	189	19	that	that	SCONJ
cana-1116	189	20	𝐸∗	𝐸∗	NOUN
cana-1116	189	21	exists	exist	VERB
cana-1116	189	22	.	.	PUNCT
cana-1116	190	1	the	the	DET
cana-1116	190	2	lyapunov	lyapunov	PROPN
cana-1116	190	3	p	p	PROPN
cana-1116	190	4	function	function	NOUN
cana-1116	190	5	is	be	AUX
cana-1116	190	6	subsequently	subsequently	ADV
cana-1116	190	7	obtained	obtain	VERB
cana-1116	190	8	and	and	CCONJ
cana-1116	190	9	defined	define	VERB
cana-1116	190	10	as	as	SCONJ
cana-1116	190	11	follows	follow	VERB
cana-1116	190	12	:	:	PUNCT
cana-1116	190	13	𝑃(𝑌1	𝑃(𝑌1	NOUN
cana-1116	190	14	,	,	PUNCT
cana-1116	190	15	𝑌2	𝑌2	NOUN
cana-1116	190	16	…	…	PROPN
cana-1116	190	17	𝑌𝑛	𝑌𝑛	NOUN
cana-1116	190	18	)	)	PUNCT
cana-1116	190	19	=	=	PUNCT
cana-1116	191	1	∑	∑	PUNCT
cana-1116	191	2	1	1	NUM
cana-1116	191	3	2	2	NUM
cana-1116	191	4	𝑛	𝑛	ADP
cana-1116	191	5	𝑖	𝑖	SYM
cana-1116	192	1	[	[	X
cana-1116	192	2	𝑌𝑖	𝑌𝑖	PROPN
cana-1116	192	3	−	−	PROPN
cana-1116	192	4	𝑌𝑖	𝑌𝑖	PROPN
cana-1116	192	5	∗]2	∗]2	PROPN
cana-1116	192	6	(	(	PUNCT
cana-1116	192	7	33	33	NUM
cana-1116	192	8	)	)	PUNCT
cana-1116	192	9	where	where	SCONJ
cana-1116	192	10	𝑌𝑖	𝑌𝑖	PROPN
cana-1116	192	11	∗	∗	VERB
cana-1116	192	12	=	=	PUNCT
cana-1116	193	1	the	the	DET
cana-1116	193	2	human	human	ADJ
cana-1116	193	3	population	population	NOUN
cana-1116	193	4	equilibrium	equilibrium	NOUN
cana-1116	193	5	at	at	ADP
cana-1116	193	6	the	the	DET
cana-1116	193	7	endemic	endemic	ADJ
cana-1116	193	8	point𝐸∗.	point𝐸∗.	NOUN
cana-1116	193	9	and	and	CCONJ
cana-1116	193	10	𝑌𝑖	𝑌𝑖	PROPN
cana-1116	193	11	=	=	PUNCT
cana-1116	193	12	the	the	DET
cana-1116	193	13	population	population	NOUN
cana-1116	193	14	of	of	ADP
cana-1116	193	15	human	human	ADJ
cana-1116	193	16	classes	class	NOUN
cana-1116	193	17	(	(	PUNCT
cana-1116	193	18	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	193	19	,	,	PUNCT
cana-1116	193	20	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	193	21	,	,	PUNCT
cana-1116	193	22	𝐸𝑇𝐵	𝐸𝑇𝐵	PROPN
cana-1116	193	23	,	,	PUNCT
cana-1116	193	24	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	193	25	,	,	PUNCT
cana-1116	193	26	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	193	27	,	,	PUNCT
cana-1116	193	28	𝑅𝑇𝐵	𝑅𝑇𝐵	PROPN
cana-1116	193	29	)	)	PUNCT
cana-1116	193	30	based	base	VERB
cana-1116	193	31	on	on	ADP
cana-1116	193	32	system	system	NOUN
cana-1116	193	33	(	(	PUNCT
cana-1116	193	34	1	1	NUM
cana-1116	193	35	)	)	PUNCT
cana-1116	193	36	equation	equation	NOUN
cana-1116	193	37	,	,	PUNCT
cana-1116	193	38	accordingly	accordingly	ADV
cana-1116	193	39	then	then	ADV
cana-1116	193	40	(	(	PUNCT
cana-1116	193	41	32	32	NUM
cana-1116	193	42	)	)	PUNCT
cana-1116	193	43	turns	turn	VERB
cana-1116	193	44	into	into	ADP
cana-1116	193	45	𝑃((𝑆𝑇𝐵	𝑃((𝑆𝑇𝐵	ADP
cana-1116	193	46	,	,	PUNCT
cana-1116	193	47	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	193	48	,	,	PUNCT
cana-1116	193	49	𝐸𝑇𝐵	𝐸𝑇𝐵	PROPN
cana-1116	193	50	,	,	PUNCT
cana-1116	193	51	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	193	52	,	,	PUNCT
cana-1116	193	53	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	193	54	,	,	PUNCT
cana-1116	193	55	𝑅𝑇𝐵	𝑅𝑇𝐵	PROPN
cana-1116	193	56	)	)	PUNCT
cana-1116	193	57	=	=	SYM
cana-1116	193	58	1	1	NUM
cana-1116	193	59	2	2	NUM
cana-1116	193	60	[	[	PUNCT
cana-1116	193	61	(	(	PUNCT
cana-1116	193	62	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	193	63	−	−	PROPN
cana-1116	193	64	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	193	65	∗	∗	NOUN
cana-1116	193	66	)	)	PUNCT
cana-1116	194	1	+	+	CCONJ
cana-1116	194	2	(	(	PUNCT
cana-1116	194	3	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	194	4	−	−	PROPN
cana-1116	194	5	(	(	PUNCT
cana-1116	194	6	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	194	7	∗	∗	NOUN
cana-1116	194	8	)	)	PUNCT
cana-1116	195	1	+	+	CCONJ
cana-1116	195	2	(	(	PUNCT
cana-1116	195	3	𝐸𝑇𝐵	𝐸𝑇𝐵	ADP
cana-1116	195	4	−	−	NUM
cana-1116	195	5	𝐸𝑇𝐵	𝐸𝑇𝐵	ADJ
cana-1116	195	6	∗	∗	NOUN
cana-1116	195	7	)	)	PUNCT
cana-1116	196	1	+	+	CCONJ
cana-1116	196	2	(	(	PUNCT
cana-1116	196	3	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	196	4	−	−	PROPN
cana-1116	196	5	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	196	6	∗	∗	NOUN
cana-1116	196	7	)	)	PUNCT
cana-1116	197	1	+	+	CCONJ
cana-1116	197	2	(	(	PUNCT
cana-1116	197	3	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	197	4	−	−	NOUN
cana-1116	197	5	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	197	6	∗	∗	NOUN
cana-1116	197	7	)	)	PUNCT
cana-1116	198	1	+	+	CCONJ
cana-1116	198	2	(	(	PUNCT
cana-1116	198	3	𝑅𝑇𝐵	𝑅𝑇𝐵	PRON
cana-1116	198	4	−	−	PROPN
cana-1116	198	5	𝑅𝑇𝐵	𝑅𝑇𝐵	DET
cana-1116	198	6	∗)]2	∗)]2	NOUN
cana-1116	198	7	(	(	PUNCT
cana-1116	198	8	34	34	NUM
cana-1116	198	9	)	)	PUNCT
cana-1116	198	10	determine	determine	VERB
cana-1116	198	11	the	the	DET
cana-1116	198	12	differential	differential	NOUN
cana-1116	198	13	of	of	ADP
cana-1116	198	14	the	the	DET
cana-1116	198	15	mentioned	mention	VERB
cana-1116	198	16	above	above	ADP
cana-1116	198	17	equation	equation	NOUN
cana-1116	198	18	with	with	ADP
cana-1116	198	19	respect	respect	NOUN
cana-1116	198	20	to	to	ADP
cana-1116	198	21	time	time	NOUN
cana-1116	198	22	t	t	NOUN
cana-1116	198	23	in	in	ADP
cana-1116	198	24	relation	relation	NOUN
cana-1116	198	25	to	to	ADP
cana-1116	198	26	the	the	DET
cana-1116	198	27	following	follow	VERB
cana-1116	198	28	equation	equation	NOUN
cana-1116	198	29	(	(	PUNCT
cana-1116	198	30	1	1	NUM
cana-1116	198	31	)	)	PUNCT
cana-1116	198	32	.	.	PUNCT
cana-1116	199	1	𝑑𝑃	𝑑𝑃	PROPN
cana-1116	199	2	𝑑𝑡	𝑑𝑡	ADP
cana-1116	199	3	=	=	PRON
cana-1116	199	4	[	[	PUNCT
cana-1116	199	5	(	(	PUNCT
cana-1116	199	6	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	199	7	−	−	PROPN
cana-1116	199	8	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	199	9	∗	∗	NOUN
cana-1116	199	10	)	)	PUNCT
cana-1116	200	1	+	+	CCONJ
cana-1116	200	2	(	(	PUNCT
cana-1116	200	3	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	200	4	−	−	PROPN
cana-1116	200	5	(	(	PUNCT
cana-1116	200	6	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	200	7	∗	∗	NOUN
cana-1116	200	8	)	)	PUNCT
cana-1116	201	1	+	+	CCONJ
cana-1116	201	2	(	(	PUNCT
cana-1116	201	3	𝐸𝑇𝐵	𝐸𝑇𝐵	ADP
cana-1116	201	4	−	−	NUM
cana-1116	201	5	𝐸𝑇𝐵	𝐸𝑇𝐵	ADJ
cana-1116	201	6	∗	∗	NOUN
cana-1116	201	7	)	)	PUNCT
cana-1116	202	1	+	+	CCONJ
cana-1116	202	2	(	(	PUNCT
cana-1116	202	3	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	202	4	−	−	PROPN
cana-1116	202	5	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	202	6	∗	∗	NOUN
cana-1116	202	7	)	)	PUNCT
cana-1116	203	1	+	+	CCONJ
cana-1116	203	2	(	(	PUNCT
cana-1116	203	3	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	203	4	−	−	NOUN
cana-1116	203	5	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	203	6	∗	∗	NOUN
cana-1116	203	7	)	)	PUNCT
cana-1116	204	1	+	+	CCONJ
cana-1116	204	2	(	(	PUNCT
cana-1116	204	3	𝑅𝑇𝐵	𝑅𝑇𝐵	PRON
cana-1116	204	4	−	−	PROPN
cana-1116	204	5	𝑅𝑇𝐵	𝑅𝑇𝐵	DET
cana-1116	204	6	∗	∗	NOUN
cana-1116	204	7	)	)	PUNCT
cana-1116	204	8	]	]	PUNCT
cana-1116	204	9	𝑑	𝑑	VERB
cana-1116	204	10	𝑑𝑡	𝑑𝑡	ADP
cana-1116	204	11	[	[	X
cana-1116	204	12	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	204	13	+	+	CCONJ
cana-1116	204	14	𝑉𝑇𝐵	𝑉𝑇𝐵	NOUN
cana-1116	204	15	+	+	CCONJ
cana-1116	204	16	𝐸𝑇𝐵	𝐸𝑇𝐵	PROPN
cana-1116	204	17	+	+	NUM
cana-1116	204	18	𝐼𝑇𝐵	𝐼𝑇𝐵	NOUN
cana-1116	204	19	+	+	CCONJ
cana-1116	204	20	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	204	21	+	+	CCONJ
cana-1116	204	22	𝑅𝑇𝐵	𝑅𝑇𝐵	PROPN
cana-1116	204	23	]	]	X
cana-1116	204	24	(	(	PUNCT
cana-1116	204	25	35	35	NUM
cana-1116	204	26	)	)	PUNCT
cana-1116	204	27	nevertheless	nevertheless	ADV
cana-1116	204	28	,	,	PUNCT
cana-1116	204	29	given	give	VERB
cana-1116	204	30	that	that	SCONJ
cana-1116	204	31	from	from	ADP
cana-1116	204	32	equation	equation	NOUN
cana-1116	204	33	(	(	PUNCT
cana-1116	204	34	14	14	NUM
cana-1116	204	35	)	)	PUNCT
cana-1116	204	36	𝑑𝑁(𝑡	𝑑𝑁(𝑡	NUM
cana-1116	204	37	)	)	PUNCT
cana-1116	204	38	𝑑𝑡	𝑑𝑡	ADP
cana-1116	204	39	=	=	SYM
cana-1116	205	1	[	[	X
cana-1116	205	2	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	205	3	+	+	CCONJ
cana-1116	205	4	𝑉𝑇𝐵	𝑉𝑇𝐵	NOUN
cana-1116	205	5	+	+	CCONJ
cana-1116	205	6	𝐸𝑇𝐵	𝐸𝑇𝐵	PROPN
cana-1116	205	7	+	+	NUM
cana-1116	205	8	𝐼𝑇𝐵	𝐼𝑇𝐵	NOUN
cana-1116	205	9	+	+	CCONJ
cana-1116	205	10	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	205	11	+	+	CCONJ
cana-1116	205	12	𝑅𝑇𝐵	𝑅𝑇𝐵	PROPN
cana-1116	205	13	]	]	X
cana-1116	205	14	(	(	PUNCT
cana-1116	205	15	36	36	NUM
cana-1116	205	16	)	)	PUNCT
cana-1116	205	17	thus	thus	ADV
cana-1116	205	18	,	,	PUNCT
cana-1116	205	19	using	use	VERB
cana-1116	205	20	equation	equation	NOUN
cana-1116	205	21	(	(	PUNCT
cana-1116	205	22	24	24	NUM
cana-1116	205	23	)	)	PUNCT
cana-1116	205	24	then	then	ADV
cana-1116	205	25	(	(	PUNCT
cana-1116	205	26	37	37	NUM
cana-1116	205	27	)	)	PUNCT
cana-1116	205	28	results	result	NOUN
cana-1116	205	29	in	in	ADP
cana-1116	205	30	𝑑𝑁(𝑡	𝑑𝑁(𝑡	PRON
cana-1116	205	31	)	)	PUNCT
cana-1116	205	32	𝑑𝑡	𝑑𝑡	ADP
cana-1116	205	33	=	=	SYM
cana-1116	205	34	λ	λ	PROPN
cana-1116	205	35	−	−	PROPN
cana-1116	205	36	𝜇𝑁	𝜇𝑁	NOUN
cana-1116	205	37	(	(	PUNCT
cana-1116	205	38	37	37	NUM
cana-1116	205	39	)	)	PUNCT
cana-1116	205	40	(	(	PUNCT
cana-1116	205	41	𝑆𝑇𝐵	𝑆𝑇𝐵	NOUN
cana-1116	205	42	∗	∗	NOUN
cana-1116	205	43	+	+	CCONJ
cana-1116	205	44	𝑉𝑇𝐵	𝑉𝑇𝐵	NOUN
cana-1116	205	45	∗	∗	NOUN
cana-1116	205	46	+	+	CCONJ
cana-1116	205	47	𝐸𝑇𝐵	𝐸𝑇𝐵	ADJ
cana-1116	205	48	∗	∗	NOUN
cana-1116	205	49	+	+	CCONJ
cana-1116	205	50	𝐼𝑇𝐵	𝐼𝑇𝐵	NOUN
cana-1116	205	51	∗	∗	NOUN
cana-1116	205	52	+	+	CCONJ
cana-1116	205	53	𝐶𝑇𝐵	𝐶𝑇𝐵	NOUN
cana-1116	205	54	+	+	CCONJ
cana-1116	205	55	𝑅𝑇𝐵	𝑅𝑇𝐵	DET
cana-1116	205	56	∗	∗	NOUN
cana-1116	205	57	)	)	PUNCT
cana-1116	206	1	=	=	SYM
cana-1116	206	2	λ	λ	X
cana-1116	206	3	𝜇	𝜇	X
cana-1116	206	4	(	(	PUNCT
cana-1116	206	5	38	38	NUM
cana-1116	206	6	)	)	PUNCT
cana-1116	206	7	by	by	ADP
cana-1116	206	8	substituting	substitute	VERB
cana-1116	206	9	the	the	DET
cana-1116	206	10	equation	equation	NOUN
cana-1116	206	11	(	(	PUNCT
cana-1116	206	12	35)-(37	35)-(37	NUM
cana-1116	206	13	)	)	PUNCT
cana-1116	206	14	we	we	PRON
cana-1116	206	15	get	get	VERB
cana-1116	206	16	(	(	PUNCT
cana-1116	206	17	38	38	NUM
cana-1116	206	18	)	)	PUNCT
cana-1116	206	19	𝑑𝑃	𝑑𝑃	NOUN
cana-1116	206	20	𝑑𝑡	𝑑𝑡	ADP
cana-1116	206	21	=	=	SYM
cana-1116	207	1	[	[	X
cana-1116	207	2	𝑁(𝑡	𝑁(𝑡	X
cana-1116	207	3	)	)	PUNCT
cana-1116	207	4	−	−	NOUN
cana-1116	207	5	λ	λ	INTJ
cana-1116	207	6	𝜇	𝜇	X
cana-1116	207	7	]	]	X
cana-1116	208	1	[	[	X
cana-1116	208	2	λ	λ	X
cana-1116	208	3	−	−	NOUN
cana-1116	208	4	𝜇𝑁(𝑡	𝜇𝑁(𝑡	NUM
cana-1116	208	5	)	)	PUNCT
cana-1116	208	6	]	]	PUNCT
cana-1116	208	7	communications	communication	NOUN
cana-1116	208	8	on	on	ADP
cana-1116	208	9	applied	apply	VERB
cana-1116	208	10	nonlinear	nonlinear	ADJ
cana-1116	208	11	analysis	analysis	NOUN
cana-1116	208	12	issn	issn	NOUN
cana-1116	208	13	:	:	PUNCT
cana-1116	208	14	1074	1074	NUM
cana-1116	208	15	-	-	PUNCT
cana-1116	208	16	133x	133x	NUM
cana-1116	208	17	vol	vol	NOUN
cana-1116	208	18	31	31	NUM
cana-1116	208	19	no	no	NOUN
cana-1116	208	20	.	.	PUNCT
cana-1116	209	1	6s	6s	NUM
cana-1116	209	2	(	(	PUNCT
cana-1116	209	3	2024	2024	NUM
cana-1116	209	4	)	)	PUNCT
cana-1116	209	5	25	25	NUM
cana-1116	209	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	209	7	𝑑𝑃	𝑑𝑃	NOUN
cana-1116	209	8	𝑑𝑡	𝑑𝑡	ADP
cana-1116	209	9	=	=	SYM
cana-1116	209	10	1	1	NUM
cana-1116	209	11	𝜇	𝜇	ADP
cana-1116	209	12	[	[	NOUN
cana-1116	209	13	−𝜇𝑁(𝑡	−𝜇𝑁(𝑡	NOUN
cana-1116	209	14	)	)	PUNCT
cana-1116	209	15	+	+	CCONJ
cana-1116	209	16	λ][λ	λ][λ	PROPN
cana-1116	209	17	−	−	PROPN
cana-1116	209	18	𝜇𝑁(𝑡	𝜇𝑁(𝑡	PROPN
cana-1116	209	19	)	)	PUNCT
cana-1116	209	20	]	]	PUNCT
cana-1116	210	1	𝑑𝑃	𝑑𝑃	PROPN
cana-1116	210	2	𝑑𝑡	𝑑𝑡	ADP
cana-1116	210	3	=	=	SYM
cana-1116	210	4	1	1	NUM
cana-1116	210	5	𝜇	𝜇	ADP
cana-1116	210	6	−	−	PROPN
cana-1116	210	7	[	[	X
cana-1116	210	8	λ	λ	X
cana-1116	210	9	−	−	X
cana-1116	210	10	𝜇𝑁(𝑡)]2	𝜇𝑁(𝑡)]2	PROPN
cana-1116	210	11	(	(	PUNCT
cana-1116	210	12	39	39	NUM
cana-1116	210	13	)	)	PUNCT
cana-1116	210	14	consequently	consequently	ADV
cana-1116	210	15	,	,	PUNCT
cana-1116	210	16	eq	eq	NOUN
cana-1116	210	17	.	.	PUNCT
cana-1116	211	1	(	(	PUNCT
cana-1116	211	2	31	31	NUM
cana-1116	211	3	)	)	PUNCT
cana-1116	211	4	,	,	PUNCT
cana-1116	211	5	it	it	PRON
cana-1116	211	6	is	be	AUX
cana-1116	211	7	clear	clear	ADJ
cana-1116	211	8	that	that	SCONJ
cana-1116	211	9	𝑑𝑃	𝑑𝑃	PROPN
cana-1116	211	10	𝑑𝑡	𝑑𝑡	ADP
cana-1116	211	11	<	<	X
cana-1116	211	12	0	0	NUM
cana-1116	211	13	is	be	AUX
cana-1116	211	14	a	a	DET
cana-1116	211	15	function	function	NOUN
cana-1116	211	16	of	of	ADP
cana-1116	211	17	lyapunov	lyapunov	NOUN
cana-1116	211	18	strictly	strictly	ADV
cana-1116	211	19	speaking	speak	VERB
cana-1116	211	20	,	,	PUNCT
cana-1116	211	21	indicating	indicate	VERB
cana-1116	211	22	that	that	SCONJ
cana-1116	211	23	gas	gas	NOUN
cana-1116	211	24	is	be	AUX
cana-1116	211	25	the	the	DET
cana-1116	211	26	point	point	NOUN
cana-1116	211	27	of	of	ADP
cana-1116	211	28	a	a	DET
cana-1116	211	29	state	state	NOUN
cana-1116	211	30	of	of	ADP
cana-1116	211	31	equilibrium	equilibrium	NOUN
cana-1116	211	32	of	of	ADP
cana-1116	211	33	endemic	endemic	ADJ
cana-1116	211	34	𝐸∗.	𝐸∗.	NOUN
cana-1116	211	35	this	this	PRON
cana-1116	211	36	comprises	comprise	VERB
cana-1116	211	37	the	the	DET
cana-1116	211	38	components	component	NOUN
cana-1116	211	39	of	of	ADP
cana-1116	211	40	the	the	DET
cana-1116	211	41	area	area	NOUN
cana-1116	211	42	ω.this	ω.this	PRON
cana-1116	211	43	implies	imply	VERB
cana-1116	211	44	that	that	SCONJ
cana-1116	211	45	the	the	DET
cana-1116	211	46	disease	disease	NOUN
cana-1116	211	47	tuberculosis	tuberculosis	NOUN
cana-1116	211	48	(	(	PUNCT
cana-1116	211	49	tb	tb	NOUN
cana-1116	211	50	)	)	PUNCT
cana-1116	211	51	is	be	AUX
cana-1116	211	52	going	go	VERB
cana-1116	211	53	to	to	PART
cana-1116	211	54	remain	remain	VERB
cana-1116	211	55	prevalent	prevalent	ADJ
cana-1116	211	56	in	in	ADP
cana-1116	211	57	humans	human	NOUN
cana-1116	211	58	for	for	ADP
cana-1116	211	59	a	a	DET
cana-1116	211	60	significant	significant	ADJ
cana-1116	211	61	period	period	NOUN
cana-1116	211	62	of	of	ADP
cana-1116	211	63	time	time	NOUN
cana-1116	211	64	due	due	ADP
cana-1116	211	65	to	to	ADP
cana-1116	211	66	its	its	PRON
cana-1116	211	67	biological	biological	ADJ
cana-1116	211	68	stability	stability	NOUN
cana-1116	211	69	.	.	PUNCT
cana-1116	212	1	once	once	ADV
cana-1116	212	2	more	more	ADJ
cana-1116	212	3	,	,	PUNCT
cana-1116	212	4	in	in	ADP
cana-1116	212	5	eq	eq	ADP
cana-1116	212	6	.	.	PUNCT
cana-1116	213	1	(	(	PUNCT
cana-1116	213	2	31	31	NUM
cana-1116	213	3	)	)	PUNCT
cana-1116	213	4	,	,	PUNCT
cana-1116	213	5	𝑑𝑃	𝑑𝑃	PROPN
cana-1116	213	6	𝑑𝑡	𝑑𝑡	ADP
cana-1116	213	7	=	=	SYM
cana-1116	213	8	0	0	PROPN
cana-1116	214	1	⟺	⟺	NOUN
cana-1116	214	2	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	214	3	=	=	SYM
cana-1116	214	4	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	214	5	∗	∗	NOUN
cana-1116	214	6	,	,	PUNCT
cana-1116	214	7	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	214	8	=	=	SYM
cana-1116	214	9	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	214	10	∗	∗	NOUN
cana-1116	214	11	,	,	PUNCT
cana-1116	214	12	𝐸𝑇𝐵	𝐸𝑇𝐵	PROPN
cana-1116	214	13	=	=	SYM
cana-1116	214	14	𝐸𝑇𝐵	𝐸𝑇𝐵	ADJ
cana-1116	214	15	∗	∗	NOUN
cana-1116	214	16	,	,	PUNCT
cana-1116	214	17	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	214	18	=	=	SYM
cana-1116	214	19	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	214	20	∗	∗	NOUN
cana-1116	214	21	,	,	PUNCT
cana-1116	214	22	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	214	23	=	=	PUNCT
cana-1116	214	24	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	214	25	∗	∗	NOUN
cana-1116	214	26	,	,	PUNCT
cana-1116	214	27	𝑅𝑇𝐵	𝑅𝑇𝐵	PROPN
cana-1116	214	28	=	=	PUNCT
cana-1116	214	29	𝑅𝑇𝐵	𝑅𝑇𝐵	PROPN
cana-1116	214	30	∗	∗	NOUN
cana-1116	214	31	𝑑𝑃	𝑑𝑃	VERB
cana-1116	214	32	𝑑𝑡	𝑑𝑡	ADP
cana-1116	214	33	in	in	ADP
cana-1116	214	34	the	the	DET
cana-1116	214	35	region	region	NOUN
cana-1116	214	36	𝒜	𝒜	NOUN
cana-1116	214	37	,	,	PUNCT
cana-1116	214	38	positively	positively	ADV
cana-1116	214	39	converge	converge	VERB
cana-1116	214	40	as	as	ADP
cana-1116	214	41	𝑡	𝑡	PROPN
cana-1116	214	42	⟶	⟶	NOUN
cana-1116	214	43	∞.	∞.	PROPN
cana-1116	214	44	thus	thus	ADV
cana-1116	214	45	,	,	PUNCT
cana-1116	214	46	this	this	PRON
cana-1116	214	47	gets	get	VERB
cana-1116	214	48	close	close	ADJ
cana-1116	214	49	to	to	ADP
cana-1116	214	50	the	the	DET
cana-1116	214	51	proof	proof	NOUN
cana-1116	214	52	.	.	PUNCT
cana-1116	215	1	theorem	theorem	VERB
cana-1116	215	2	7	7	NUM
cana-1116	215	3	the	the	DET
cana-1116	215	4	mathematical	mathematical	ADJ
cana-1116	215	5	subsystems	subsystem	NOUN
cana-1116	215	6	(	(	PUNCT
cana-1116	215	7	1	1	X
cana-1116	215	8	)	)	PUNCT
cana-1116	215	9	have	have	VERB
cana-1116	215	10	unique	unique	ADJ
cana-1116	215	11	solutions	solution	NOUN
cana-1116	215	12	if	if	SCONJ
cana-1116	215	13	it	it	PRON
cana-1116	215	14	is	be	AUX
cana-1116	215	15	determined	determine	VERB
cana-1116	215	16	that	that	SCONJ
cana-1116	215	17	𝜕𝑇𝐵𝑖	𝜕𝑇𝐵𝑖	ADP
cana-1116	215	18	𝜕tb	𝜕tb	NOUN
cana-1116	215	19	,	,	PUNCT
cana-1116	215	20	𝑇𝐵𝑖	𝑇𝐵𝑖	NOUN
cana-1116	215	21	=	=	SYM
cana-1116	215	22	1	1	NUM
cana-1116	215	23	are	be	AUX
cana-1116	215	24	continuous	continuous	ADJ
cana-1116	215	25	and	and	CCONJ
cana-1116	215	26	bounded	bound	VERB
cana-1116	215	27	on	on	ADP
cana-1116	215	28	d.	d.	PROPN
cana-1116	215	29	let	let	VERB
cana-1116	215	30	d	d	PRON
cana-1116	215	31	be	be	AUX
cana-1116	215	32	the	the	DET
cana-1116	215	33	region	region	NOUN
cana-1116	215	34	ω	ω	NUM
cana-1116	215	35	𝑇𝐵𝑖	𝑇𝐵𝑖	NOUN
cana-1116	215	36	∈	∈	PROPN
cana-1116	215	37	𝑅	𝑅	PROPN
cana-1116	215	38	+	+	PROPN
cana-1116	215	39	.	.	PUNCT
cana-1116	215	40	proof	proof	NOUN
cana-1116	215	41	let	let	VERB
cana-1116	215	42	equation	equation	NOUN
cana-1116	215	43	(	(	PUNCT
cana-1116	215	44	1	1	X
cana-1116	215	45	)	)	PUNCT
cana-1116	215	46	represented	represent	VERB
cana-1116	215	47	by	by	ADP
cana-1116	215	48	𝑇𝐵1,𝑇𝐵2	𝑇𝐵1,𝑇𝐵2	PROPN
cana-1116	215	49	,	,	PUNCT
cana-1116	215	50	𝑇𝐵3	𝑇𝐵3	PROPN
cana-1116	215	51	,	,	PUNCT
cana-1116	215	52	𝑇𝐵4	𝑇𝐵4	PROPN
cana-1116	215	53	,	,	PUNCT
cana-1116	215	54	𝑇𝐵5	𝑇𝐵5	PROPN
cana-1116	215	55	and	and	CCONJ
cana-1116	215	56	𝑇𝐵6	𝑇𝐵6	PROPN
cana-1116	215	57	respectively	respectively	ADV
cana-1116	215	58	from	from	ADP
cana-1116	215	59	equation	equation	NOUN
cana-1116	215	60	(	(	PUNCT
cana-1116	215	61	1	1	NUM
cana-1116	215	62	)	)	PUNCT
cana-1116	215	63	,	,	PUNCT
cana-1116	215	64	the	the	DET
cana-1116	215	65	following	follow	VERB
cana-1116	215	66	partial	partial	ADJ
cana-1116	215	67	derivatives	derivative	NOUN
cana-1116	215	68	are	be	AUX
cana-1116	215	69	obtained	obtain	VERB
cana-1116	215	70	.	.	PUNCT
cana-1116	216	1	|	|	CCONJ
cana-1116	216	2	𝜕𝑇𝐵1	𝜕𝑇𝐵1	PROPN
cana-1116	216	3	𝜕𝑆𝑇𝐵	𝜕𝑆𝑇𝐵	NOUN
cana-1116	216	4	|	|	ADV
cana-1116	217	1	=	=	SYM
cana-1116	217	2	|λ	|λ	ADV
cana-1116	217	3	−	−	PROPN
cana-1116	218	1	μ𝑆𝑇	μ𝑆𝑇	ADJ
cana-1116	218	2	−	−	PROPN
cana-1116	218	3	𝜉	𝜉	PROPN
cana-1116	218	4	−	−	PROPN
cana-1116	218	5	𝛽𝑝|	𝛽𝑝|	PROPN
cana-1116	218	6	<	<	X
cana-1116	218	7	∞;|	∞;|	PROPN
cana-1116	218	8	𝜕𝑇𝐵1	𝜕𝑇𝐵1	PROPN
cana-1116	218	9	𝜕𝑉𝑇𝐵	𝜕𝑉𝑇𝐵	NOUN
cana-1116	218	10	|	|	ADV
cana-1116	218	11	=	=	SYM
cana-1116	218	12	|𝜃|	|𝜃|	PROPN
cana-1116	218	13	<	<	X
cana-1116	218	14	∞	∞	PROPN
cana-1116	218	15	;	;	PUNCT
cana-1116	218	16	|	|	ADV
cana-1116	218	17	𝜕𝑇𝐵1	𝜕𝑇𝐵1	PROPN
cana-1116	218	18	𝜕𝐸𝑇𝐵	𝜕𝐸𝑇𝐵	ADV
cana-1116	218	19	|	|	ADV
cana-1116	218	20	=	=	SYM
cana-1116	218	21	0	0	PUNCT
cana-1116	218	22	<	<	X
cana-1116	218	23	∞	∞	PROPN
cana-1116	218	24	;	;	PUNCT
cana-1116	218	25	|	|	ADV
cana-1116	218	26	𝜕𝑇𝐵1	𝜕𝑇𝐵1	PROPN
cana-1116	218	27	𝜕𝐼𝑇𝐵	𝜕𝐼𝑇𝐵	NOUN
cana-1116	219	1	|	|	ADV
cana-1116	219	2	=	=	SYM
cana-1116	219	3	0	0	PUNCT
cana-1116	219	4	<	<	X
cana-1116	219	5	∞	∞	PROPN
cana-1116	219	6	;	;	PUNCT
cana-1116	219	7	|	|	ADV
cana-1116	219	8	𝜕𝑇𝐵1	𝜕𝑇𝐵1	NOUN
cana-1116	219	9	𝜕𝐶𝑇𝐵	𝜕𝐶𝑇𝐵	NOUN
cana-1116	219	10	|	|	ADV
cana-1116	219	11	=	=	NOUN
cana-1116	219	12	0	0	PUNCT
cana-1116	219	13	<	<	X
cana-1116	219	14	∞	∞	PROPN
cana-1116	219	15	;	;	PUNCT
cana-1116	219	16	|	|	ADV
cana-1116	219	17	𝜕𝑇𝐵1	𝜕𝑇𝐵1	PROPN
cana-1116	219	18	𝜕𝑅𝑇𝐵	𝜕𝑅𝑇𝐵	NOUN
cana-1116	219	19	|	|	ADV
cana-1116	220	1	=	=	PUNCT
cana-1116	220	2	|𝛾|	|𝛾|	ADV
cana-1116	220	3	<	<	X
cana-1116	220	4	∞	∞	PROPN
cana-1116	220	5	(	(	PUNCT
cana-1116	220	6	40	40	NUM
cana-1116	220	7	)	)	PUNCT
cana-1116	220	8	the	the	DET
cana-1116	220	9	above	above	ADJ
cana-1116	220	10	partial	partial	ADJ
cana-1116	220	11	derivatives	derivative	NOUN
cana-1116	220	12	exist	exist	VERB
cana-1116	220	13	,	,	PUNCT
cana-1116	220	14	are	be	AUX
cana-1116	220	15	continuous	continuous	ADJ
cana-1116	220	16	and	and	CCONJ
cana-1116	220	17	are	be	AUX
cana-1116	220	18	bounded	bound	VERB
cana-1116	220	19	.	.	PUNCT
cana-1116	221	1	from	from	ADP
cana-1116	221	2	equation	equation	NOUN
cana-1116	221	3	(	(	PUNCT
cana-1116	221	4	1	1	NUM
cana-1116	221	5	)	)	PUNCT
cana-1116	221	6	,	,	PUNCT
cana-1116	221	7	the	the	DET
cana-1116	221	8	following	follow	VERB
cana-1116	221	9	partial	partial	ADJ
cana-1116	221	10	derivatives	derivative	NOUN
cana-1116	221	11	are	be	AUX
cana-1116	221	12	obtained	obtain	VERB
cana-1116	221	13	.	.	PUNCT
cana-1116	222	1	|	|	ADV
cana-1116	222	2	𝜕𝑇𝐵2	𝜕𝑇𝐵2	PROPN
cana-1116	222	3	𝜕𝑉𝑇𝐵	𝜕𝑉𝑇𝐵	NOUN
cana-1116	223	1	|	|	ADV
cana-1116	223	2	=	=	NOUN
cana-1116	223	3	|μ	|μ	ADV
cana-1116	223	4	−	−	NOUN
cana-1116	223	5	𝛽𝑢	𝛽𝑢	ADP
cana-1116	223	6	−	−	PROPN
cana-1116	223	7	𝜃|	𝜃|	NOUN
cana-1116	223	8	<	<	X
cana-1116	223	9	∞	∞	PROPN
cana-1116	223	10	;	;	PUNCT
cana-1116	223	11	|	|	ADV
cana-1116	223	12	𝜕𝑇𝐵2	𝜕𝑇𝐵2	NOUN
cana-1116	223	13	𝜕𝑆𝑇𝐵	𝜕𝑆𝑇𝐵	NOUN
cana-1116	224	1	|	|	ADV
cana-1116	224	2	=	=	PUNCT
cana-1116	225	1	|𝜉|	|𝜉|	NOUN
cana-1116	225	2	<	<	X
cana-1116	225	3	∞	∞	NUM
cana-1116	225	4	;	;	PUNCT
cana-1116	225	5	|	|	ADV
cana-1116	225	6	𝜕𝑇𝐵2	𝜕𝑇𝐵2	NOUN
cana-1116	225	7	𝜕𝐸𝑇𝐵	𝜕𝐸𝑇𝐵	PUNCT
cana-1116	225	8	|	|	ADV
cana-1116	225	9	=	=	SYM
cana-1116	225	10	0	0	PUNCT
cana-1116	225	11	<	<	X
cana-1116	225	12	∞;|	∞;|	PROPN
cana-1116	225	13	𝜕𝑇𝐵2	𝜕𝑇𝐵2	PROPN
cana-1116	225	14	𝜕𝐼𝑇𝐵	𝜕𝐼𝑇𝐵	NOUN
cana-1116	226	1	|	|	ADV
cana-1116	226	2	=	=	SYM
cana-1116	226	3	0	0	PUNCT
cana-1116	226	4	<	<	X
cana-1116	226	5	∞;|	∞;|	PROPN
cana-1116	226	6	𝜕𝑇𝐵2	𝜕𝑇𝐵2	X
cana-1116	226	7	𝜕𝐶𝑇𝐵	𝜕𝐶𝑇𝐵	NOUN
cana-1116	226	8	|	|	ADV
cana-1116	226	9	=	=	NOUN
cana-1116	226	10	0	0	PUNCT
cana-1116	226	11	<	<	X
cana-1116	226	12	∞	∞	PROPN
cana-1116	226	13	;	;	PUNCT
cana-1116	226	14	|	|	ADV
cana-1116	226	15	𝜕𝑇𝐵2	𝜕𝑇𝐵2	NOUN
cana-1116	226	16	𝜕𝑅𝑇𝐵	𝜕𝑅𝑇𝐵	VERB
cana-1116	226	17	|	|	ADV
cana-1116	226	18	=	=	SYM
cana-1116	226	19	0	0	PUNCT
cana-1116	226	20	<	<	X
cana-1116	226	21	∞	∞	PROPN
cana-1116	226	22	(	(	PUNCT
cana-1116	226	23	41	41	NUM
cana-1116	226	24	)	)	PUNCT
cana-1116	226	25	existing	exist	VERB
cana-1116	226	26	,	,	PUNCT
cana-1116	226	27	continuous	continuous	ADJ
cana-1116	226	28	,	,	PUNCT
cana-1116	226	29	and	and	CCONJ
cana-1116	226	30	constrained	constrain	VERB
cana-1116	226	31	are	be	AUX
cana-1116	226	32	the	the	DET
cana-1116	226	33	partial	partial	ADJ
cana-1116	226	34	derivatives	derivative	NOUN
cana-1116	226	35	mentioned	mention	VERB
cana-1116	226	36	above	above	ADV
cana-1116	226	37	.	.	PUNCT
cana-1116	227	1	from	from	ADP
cana-1116	227	2	equation	equation	NOUN
cana-1116	227	3	(	(	PUNCT
cana-1116	227	4	1	1	NUM
cana-1116	227	5	)	)	PUNCT
cana-1116	227	6	,	,	PUNCT
cana-1116	227	7	the	the	DET
cana-1116	227	8	following	follow	VERB
cana-1116	227	9	partial	partial	ADJ
cana-1116	227	10	derivatives	derivative	NOUN
cana-1116	227	11	are	be	AUX
cana-1116	227	12	obtained	obtain	VERB
cana-1116	227	13	.	.	PUNCT
cana-1116	228	1	|	|	ADV
cana-1116	228	2	𝜕𝑇𝐵3	𝜕𝑇𝐵3	PROPN
cana-1116	228	3	𝜕𝐸𝑇𝐵	𝜕𝐸𝑇𝐵	PUNCT
cana-1116	228	4	|	|	ADV
cana-1116	228	5	=	=	SYM
cana-1116	228	6	|𝜇	|𝜇	NOUN
cana-1116	228	7	−	−	PROPN
cana-1116	228	8	𝛽𝑞|	𝛽𝑞|	NOUN
cana-1116	228	9	<	<	X
cana-1116	228	10	∞;|	∞;|	PROPN
cana-1116	228	11	𝜕𝑇𝐵3	𝜕𝑇𝐵3	PROPN
cana-1116	228	12	𝜕𝑆𝑇𝐵	𝜕𝑆𝑇𝐵	NOUN
cana-1116	229	1	|	|	ADV
cana-1116	229	2	=	=	SYM
cana-1116	229	3	|𝛽𝑝|	|𝛽𝑝|	PROPN
cana-1116	229	4	<	<	X
cana-1116	229	5	∞;|	∞;|	PROPN
cana-1116	229	6	𝜕𝑇𝐵3	𝜕𝑇𝐵3	PROPN
cana-1116	229	7	𝜕𝑉𝑇𝐵	𝜕𝑉𝑇𝐵	NOUN
cana-1116	229	8	|	|	ADV
cana-1116	229	9	=	=	SYM
cana-1116	229	10	|𝛽𝑢|	|𝛽𝑢|	PROPN
cana-1116	229	11	<	<	X
cana-1116	229	12	∞;|	∞;|	PROPN
cana-1116	229	13	𝜕𝑇𝐵3	𝜕𝑇𝐵3	PROPN
cana-1116	229	14	𝜕𝐼𝑇𝐵	𝜕𝐼𝑇𝐵	PUNCT
cana-1116	230	1	|	|	ADV
cana-1116	230	2	=	=	SYM
cana-1116	230	3	0	0	PUNCT
cana-1116	230	4	<	<	X
cana-1116	230	5	∞;|	∞;|	PROPN
cana-1116	230	6	𝜕𝑇𝐵3	𝜕𝑇𝐵3	PROPN
cana-1116	230	7	𝜕𝐶𝑇𝐵	𝜕𝐶𝑇𝐵	VERB
cana-1116	230	8	|	|	ADV
cana-1116	230	9	=	=	NOUN
cana-1116	230	10	0	0	PUNCT
cana-1116	230	11	<	<	X
cana-1116	230	12	∞	∞	PROPN
cana-1116	230	13	;	;	PUNCT
cana-1116	230	14	|	|	ADV
cana-1116	230	15	𝜕𝑇𝐵3	𝜕𝑇𝐵3	PROPN
cana-1116	230	16	𝜕𝑅𝑇𝐵	𝜕𝑅𝑇𝐵	VERB
cana-1116	230	17	|	|	ADV
cana-1116	230	18	=	=	SYM
cana-1116	230	19	|𝜎𝛽|0	|𝜎𝛽|0	PUNCT
cana-1116	230	20	<	<	X
cana-1116	230	21	∞	∞	PROPN
cana-1116	230	22	(	(	PUNCT
cana-1116	230	23	42	42	NUM
cana-1116	230	24	)	)	PUNCT
cana-1116	230	25	existing	exist	VERB
cana-1116	230	26	,	,	PUNCT
cana-1116	230	27	continuous	continuous	ADJ
cana-1116	230	28	,	,	PUNCT
cana-1116	230	29	and	and	CCONJ
cana-1116	230	30	constrained	constrain	VERB
cana-1116	230	31	are	be	AUX
cana-1116	230	32	the	the	DET
cana-1116	230	33	partial	partial	ADJ
cana-1116	230	34	derivatives	derivative	NOUN
cana-1116	230	35	mentioned	mention	VERB
cana-1116	230	36	above	above	ADV
cana-1116	230	37	.	.	PUNCT
cana-1116	231	1	from	from	ADP
cana-1116	231	2	equation	equation	NOUN
cana-1116	231	3	(	(	PUNCT
cana-1116	231	4	1	1	NUM
cana-1116	231	5	)	)	PUNCT
cana-1116	231	6	,	,	PUNCT
cana-1116	231	7	the	the	DET
cana-1116	231	8	following	follow	VERB
cana-1116	231	9	partial	partial	ADJ
cana-1116	231	10	derivatives	derivative	NOUN
cana-1116	231	11	are	be	AUX
cana-1116	231	12	obtained	obtain	VERB
cana-1116	231	13	.	.	PUNCT
cana-1116	232	1	communications	communication	NOUN
cana-1116	232	2	on	on	ADP
cana-1116	232	3	applied	apply	VERB
cana-1116	232	4	nonlinear	nonlinear	ADJ
cana-1116	232	5	analysis	analysis	NOUN
cana-1116	232	6	issn	issn	NOUN
cana-1116	232	7	:	:	PUNCT
cana-1116	232	8	1074	1074	NUM
cana-1116	232	9	-	-	PUNCT
cana-1116	232	10	133x	133x	NUM
cana-1116	232	11	vol	vol	NOUN
cana-1116	232	12	31	31	NUM
cana-1116	232	13	no	no	NOUN
cana-1116	232	14	.	.	PUNCT
cana-1116	233	1	6s	6s	NUM
cana-1116	233	2	(	(	PUNCT
cana-1116	233	3	2024	2024	NUM
cana-1116	233	4	)	)	PUNCT
cana-1116	233	5	26	26	NUM
cana-1116	233	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	233	7	|	|	ADV
cana-1116	233	8	𝜕𝑇𝐵4	𝜕𝑇𝐵4	PROPN
cana-1116	233	9	𝜕𝐼𝑇𝐵	𝜕𝐼𝑇𝐵	NOUN
cana-1116	234	1	|	|	ADV
cana-1116	234	2	=	=	SYM
cana-1116	234	3	|𝜇	|𝜇	NOUN
cana-1116	234	4	−	−	PROPN
cana-1116	235	1	𝜏|	𝜏|	PROPN
cana-1116	235	2	<	<	X
cana-1116	235	3	∞	∞	PROPN
cana-1116	235	4	;	;	PUNCT
cana-1116	235	5	|	|	ADV
cana-1116	235	6	𝜕𝑇𝐵4	𝜕𝑇𝐵4	VERB
cana-1116	235	7	𝜕𝑆𝑇𝐵	𝜕𝑆𝑇𝐵	NOUN
cana-1116	236	1	|	|	ADV
cana-1116	236	2	=	=	SYM
cana-1116	236	3	0	0	PUNCT
cana-1116	237	1	<	<	X
cana-1116	237	2	∞	∞	PROPN
cana-1116	237	3	;	;	PUNCT
cana-1116	237	4	|	|	ADV
cana-1116	237	5	𝜕𝑇𝐵4	𝜕𝑇𝐵4	ADJ
cana-1116	237	6	𝜕𝑉𝑇𝐵	𝜕𝑉𝑇𝐵	NOUN
cana-1116	237	7	|	|	ADV
cana-1116	237	8	=	=	SYM
cana-1116	237	9	0	0	PUNCT
cana-1116	237	10	<	<	X
cana-1116	237	11	∞	∞	PROPN
cana-1116	237	12	;	;	PUNCT
cana-1116	237	13	|	|	ADV
cana-1116	237	14	𝜕𝑇𝐵4	𝜕𝑇𝐵4	VERB
cana-1116	237	15	𝜕𝐸𝑇𝐵	𝜕𝐸𝑇𝐵	ADV
cana-1116	237	16	|	|	ADV
cana-1116	238	1	=	=	SYM
cana-1116	239	1	|𝛽𝑞|	|𝛽𝑞|	X
cana-1116	239	2	<	<	X
cana-1116	239	3	∞	∞	PROPN
cana-1116	239	4	;	;	PUNCT
cana-1116	239	5	|	|	ADV
cana-1116	239	6	𝜕𝑇𝐵4	𝜕𝑇𝐵4	VERB
cana-1116	239	7	𝜕𝐶𝑇𝐵	𝜕𝐶𝑇𝐵	NOUN
cana-1116	239	8	|	|	ADV
cana-1116	239	9	=	=	NOUN
cana-1116	239	10	0	0	PUNCT
cana-1116	239	11	<	<	X
cana-1116	239	12	∞	∞	PROPN
cana-1116	239	13	;	;	PUNCT
cana-1116	239	14	|	|	ADV
cana-1116	239	15	𝜕𝑇𝐵4	𝜕𝑇𝐵4	VERB
cana-1116	239	16	𝜕𝑅𝑇𝐵	𝜕𝑅𝑇𝐵	NOUN
cana-1116	239	17	|	|	ADV
cana-1116	239	18	=	=	SYM
cana-1116	239	19	0	0	PUNCT
cana-1116	239	20	<	<	X
cana-1116	239	21	∞	∞	PROPN
cana-1116	239	22	(	(	PUNCT
cana-1116	239	23	43	43	NUM
cana-1116	239	24	)	)	PUNCT
cana-1116	239	25	existing	exist	VERB
cana-1116	239	26	,	,	PUNCT
cana-1116	239	27	continuous	continuous	ADJ
cana-1116	239	28	,	,	PUNCT
cana-1116	239	29	and	and	CCONJ
cana-1116	239	30	constrained	constrain	VERB
cana-1116	239	31	are	be	AUX
cana-1116	239	32	the	the	DET
cana-1116	239	33	partial	partial	ADJ
cana-1116	239	34	derivatives	derivative	NOUN
cana-1116	239	35	mentioned	mention	VERB
cana-1116	239	36	above	above	ADV
cana-1116	239	37	.	.	PUNCT
cana-1116	240	1	from	from	ADP
cana-1116	240	2	equation	equation	NOUN
cana-1116	240	3	(	(	PUNCT
cana-1116	240	4	1	1	NUM
cana-1116	240	5	)	)	PUNCT
cana-1116	240	6	,	,	PUNCT
cana-1116	240	7	the	the	DET
cana-1116	240	8	following	follow	VERB
cana-1116	240	9	partial	partial	ADJ
cana-1116	240	10	derivatives	derivative	NOUN
cana-1116	240	11	are	be	AUX
cana-1116	240	12	obtained	obtain	VERB
cana-1116	240	13	.	.	PUNCT
cana-1116	241	1	|	|	ADV
cana-1116	241	2	𝜕𝑇𝐵5	𝜕𝑇𝐵5	VERB
cana-1116	241	3	𝜕𝐶𝑇𝐵	𝜕𝐶𝑇𝐵	NOUN
cana-1116	241	4	|	|	ADV
cana-1116	242	1	=	=	PUNCT
cana-1116	243	1	|	|	ADV
cana-1116	243	2	𝜇	𝜇	ADP
cana-1116	243	3	−	−	PROPN
cana-1116	243	4	𝜋|	𝜋|	PROPN
cana-1116	243	5	<	<	X
cana-1116	243	6	∞	∞	NUM
cana-1116	243	7	;	;	PUNCT
cana-1116	243	8	|	|	ADV
cana-1116	243	9	𝜕𝑇𝐵5	𝜕𝑇𝐵5	VERB
cana-1116	243	10	𝜕𝑆𝑇𝐵	𝜕𝑆𝑇𝐵	NOUN
cana-1116	244	1	|	|	ADV
cana-1116	245	1	=	=	SYM
cana-1116	245	2	0	0	PUNCT
cana-1116	245	3	<	<	X
cana-1116	245	4	∞	∞	PROPN
cana-1116	245	5	;	;	PUNCT
cana-1116	245	6	|	|	ADV
cana-1116	245	7	𝜕𝑇𝐵5	𝜕𝑇𝐵5	VERB
cana-1116	245	8	𝜕𝑉𝑇𝐵	𝜕𝑉𝑇𝐵	NOUN
cana-1116	245	9	|	|	ADV
cana-1116	245	10	=	=	SYM
cana-1116	245	11	0	0	PUNCT
cana-1116	245	12	<	<	X
cana-1116	245	13	∞	∞	PROPN
cana-1116	245	14	;	;	PUNCT
cana-1116	245	15	|	|	ADV
cana-1116	245	16	𝜕𝑇𝐵5	𝜕𝑇𝐵5	VERB
cana-1116	245	17	𝜕𝐸𝑇𝐵	𝜕𝐸𝑇𝐵	PUNCT
cana-1116	245	18	|	|	ADV
cana-1116	245	19	=	=	SYM
cana-1116	245	20	0	0	PUNCT
cana-1116	245	21	<	<	X
cana-1116	245	22	∞	∞	PROPN
cana-1116	245	23	;	;	PUNCT
cana-1116	245	24	|	|	ADV
cana-1116	245	25	𝜕𝑇𝐵5	𝜕𝑇𝐵5	VERB
cana-1116	245	26	𝜕𝐼𝑇𝐵	𝜕𝐼𝑇𝐵	NOUN
cana-1116	246	1	|	|	ADV
cana-1116	246	2	=	=	SYM
cana-1116	246	3	|𝜏|0	|𝜏|0	PROPN
cana-1116	246	4	<	<	X
cana-1116	246	5	∞	∞	PROPN
cana-1116	246	6	;	;	PUNCT
cana-1116	246	7	|	|	ADV
cana-1116	246	8	𝜕𝑇𝐵5	𝜕𝑇𝐵5	VERB
cana-1116	246	9	𝜕𝑅𝑇𝐵	𝜕𝑅𝑇𝐵	NOUN
cana-1116	246	10	|	|	ADV
cana-1116	246	11	=	=	SYM
cana-1116	246	12	0	0	PUNCT
cana-1116	246	13	<	<	X
cana-1116	246	14	∞	∞	PROPN
cana-1116	246	15	(	(	PUNCT
cana-1116	246	16	44	44	NUM
cana-1116	246	17	)	)	PUNCT
cana-1116	246	18	existing	exist	VERB
cana-1116	246	19	,	,	PUNCT
cana-1116	246	20	continuous	continuous	ADJ
cana-1116	246	21	,	,	PUNCT
cana-1116	246	22	and	and	CCONJ
cana-1116	246	23	constrained	constrain	VERB
cana-1116	246	24	are	be	AUX
cana-1116	246	25	the	the	DET
cana-1116	246	26	partial	partial	ADJ
cana-1116	246	27	derivatives	derivative	NOUN
cana-1116	246	28	mentioned	mention	VERB
cana-1116	246	29	above	above	ADV
cana-1116	246	30	.	.	PUNCT
cana-1116	247	1	from	from	ADP
cana-1116	247	2	equation	equation	NOUN
cana-1116	247	3	(	(	PUNCT
cana-1116	247	4	1	1	NUM
cana-1116	247	5	)	)	PUNCT
cana-1116	247	6	,	,	PUNCT
cana-1116	247	7	the	the	DET
cana-1116	247	8	following	follow	VERB
cana-1116	247	9	partial	partial	ADJ
cana-1116	247	10	derivatives	derivative	NOUN
cana-1116	247	11	are	be	AUX
cana-1116	247	12	obtained	obtain	VERB
cana-1116	247	13	.	.	PUNCT
cana-1116	248	1	|	|	ADV
cana-1116	248	2	𝜕𝑇𝐵6	𝜕𝑇𝐵6	PROPN
cana-1116	248	3	𝜕𝑅𝑇𝐵	𝜕𝑅𝑇𝐵	VERB
cana-1116	248	4	|	|	ADV
cana-1116	248	5	=	=	SYM
cana-1116	248	6	|𝜇	|𝜇	NOUN
cana-1116	248	7	−	−	NOUN
cana-1116	248	8	𝛾	𝛾	NOUN
cana-1116	248	9	−	−	NOUN
cana-1116	249	1	𝜎𝛽|	𝜎𝛽|	ADJ
cana-1116	249	2	<	<	X
cana-1116	249	3	∞	∞	PROPN
cana-1116	249	4	;	;	PUNCT
cana-1116	249	5	|	|	ADV
cana-1116	249	6	𝜕𝑇𝐵6	𝜕𝑇𝐵6	PROPN
cana-1116	249	7	𝜕𝑆𝑇𝐵	𝜕𝑆𝑇𝐵	NOUN
cana-1116	249	8	|	|	ADV
cana-1116	249	9	=	=	SYM
cana-1116	249	10	0	0	PUNCT
cana-1116	249	11	<	<	X
cana-1116	249	12	∞	∞	PROPN
cana-1116	249	13	;	;	PUNCT
cana-1116	249	14	|	|	ADV
cana-1116	249	15	𝜕𝑇𝐵6	𝜕𝑇𝐵6	PROPN
cana-1116	249	16	𝜕𝑉𝑇𝐵	𝜕𝑉𝑇𝐵	NOUN
cana-1116	250	1	|	|	ADV
cana-1116	250	2	=	=	SYM
cana-1116	251	1	0	0	PUNCT
cana-1116	251	2	<	<	X
cana-1116	251	3	∞	∞	PROPN
cana-1116	251	4	;	;	PUNCT
cana-1116	251	5	|	|	ADV
cana-1116	251	6	𝜕𝑇𝐵6	𝜕𝑇𝐵6	PROPN
cana-1116	251	7	𝜕𝐸𝑇𝐵	𝜕𝐸𝑇𝐵	PUNCT
cana-1116	251	8	|	|	ADV
cana-1116	251	9	=	=	SYM
cana-1116	251	10	0	0	PUNCT
cana-1116	251	11	<	<	X
cana-1116	251	12	∞	∞	PROPN
cana-1116	251	13	;	;	PUNCT
cana-1116	251	14	|	|	ADV
cana-1116	251	15	𝜕𝑇𝐵6	𝜕𝑇𝐵6	PROPN
cana-1116	251	16	𝜕𝐼𝑇𝐵	𝜕𝐼𝑇𝐵	PUNCT
cana-1116	252	1	|	|	ADV
cana-1116	252	2	=	=	SYM
cana-1116	252	3	0	0	PUNCT
cana-1116	252	4	<	<	X
cana-1116	252	5	∞	∞	PROPN
cana-1116	252	6	;	;	PUNCT
cana-1116	253	1	|	|	ADV
cana-1116	253	2	𝜕𝑇𝐵6	𝜕𝑇𝐵6	PROPN
cana-1116	253	3	𝜕𝐶	𝜕𝐶	PROPN
cana-1116	253	4	𝑇𝐵	𝑇𝐵	PROPN
cana-1116	253	5	|	|	NOUN
cana-1116	253	6	=	=	SYM
cana-1116	253	7	|𝜋|0	|𝜋|0	PROPN
cana-1116	253	8	<	<	X
cana-1116	253	9	∞	∞	PROPN
cana-1116	253	10	(	(	PUNCT
cana-1116	253	11	45	45	NUM
cana-1116	253	12	)	)	PUNCT
cana-1116	253	13	the	the	DET
cana-1116	253	14	above	above	ADJ
cana-1116	253	15	partial	partial	ADJ
cana-1116	253	16	derivatives	derivative	NOUN
cana-1116	253	17	exist	exist	VERB
cana-1116	253	18	,	,	PUNCT
cana-1116	253	19	are	be	AUX
cana-1116	253	20	continuous	continuous	ADJ
cana-1116	253	21	and	and	CCONJ
cana-1116	253	22	are	be	AUX
cana-1116	253	23	bounded	bound	VERB
cana-1116	253	24	.	.	PUNCT
cana-1116	254	1	since	since	SCONJ
cana-1116	254	2	all	all	DET
cana-1116	254	3	the	the	DET
cana-1116	254	4	partial	partial	ADJ
cana-1116	254	5	derivatives	derivative	NOUN
cana-1116	254	6	exist	exist	VERB
cana-1116	254	7	and	and	CCONJ
cana-1116	254	8	are	be	AUX
cana-1116	254	9	bounded	bound	VERB
cana-1116	254	10	and	and	CCONJ
cana-1116	254	11	defined	define	VERB
cana-1116	254	12	,	,	PUNCT
cana-1116	254	13	the	the	DET
cana-1116	254	14	system	system	NOUN
cana-1116	254	15	of	of	ADP
cana-1116	254	16	equations	equation	NOUN
cana-1116	254	17	(	(	PUNCT
cana-1116	254	18	1	1	X
cana-1116	254	19	)	)	PUNCT
cana-1116	254	20	exists	exist	VERB
cana-1116	254	21	and	and	CCONJ
cana-1116	254	22	has	have	VERB
cana-1116	254	23	solutions.𝑅6	solutions.𝑅6	NUM
cana-1116	254	24	.	.	PUNCT
cana-1116	255	1	3	3	X
cana-1116	255	2	.	.	X
cana-1116	255	3	the	the	DET
cana-1116	255	4	predominant	predominant	ADJ
cana-1116	255	5	equilibrium	equilibrium	NOUN
cana-1116	255	6	point	point	NOUN
cana-1116	255	7	's	's	PART
cana-1116	255	8	global	global	ADJ
cana-1116	255	9	stability	stability	NOUN
cana-1116	255	10	the	the	DET
cana-1116	255	11	lyapunov	lyapunov	ADJ
cana-1116	255	12	functional	functional	NOUN
cana-1116	255	13	is	be	AUX
cana-1116	255	14	utilized	utilize	VERB
cana-1116	255	15	to	to	PART
cana-1116	255	16	evaluate	evaluate	VERB
cana-1116	255	17	the	the	DET
cana-1116	255	18	global	global	ADJ
cana-1116	255	19	stability	stability	NOUN
cana-1116	255	20	of	of	ADP
cana-1116	255	21	the	the	DET
cana-1116	255	22	indigenous	indigenous	ADJ
cana-1116	255	23	equilibrium	equilibrium	NOUN
cana-1116	255	24	point	point	NOUN
cana-1116	255	25	σ𝑐.	σ𝑐.	NOUN
cana-1116	255	26	to	to	ADP
cana-1116	255	27	this	this	DET
cana-1116	255	28	end	end	NOUN
cana-1116	255	29	,	,	PUNCT
cana-1116	255	30	we	we	PRON
cana-1116	255	31	define	define	VERB
cana-1116	255	32	the	the	DET
cana-1116	255	33	definition	definition	NOUN
cana-1116	255	34	that	that	PRON
cana-1116	255	35	follows	follow	VERB
cana-1116	255	36	𝐿(𝑆𝑇𝐵	𝐿(𝑆𝑇𝐵	NOUN
cana-1116	255	37	,	,	PUNCT
cana-1116	255	38	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	255	39	,	,	PUNCT
cana-1116	255	40	𝐸𝑇𝐵	𝐸𝑇𝐵	PROPN
cana-1116	255	41	,	,	PUNCT
cana-1116	255	42	𝐼𝑇𝐵	𝐼𝑇𝐵	NOUN
cana-1116	255	43	,	,	PUNCT
cana-1116	255	44	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	255	45	,	,	PUNCT
cana-1116	255	46	𝑅𝑇𝐵	𝑅𝑇𝐵	PROPN
cana-1116	255	47	)	)	PUNCT
cana-1116	255	48	=	=	SYM
cana-1116	255	49	1	1	NUM
cana-1116	255	50	2	2	NUM
cana-1116	255	51	(	(	PUNCT
cana-1116	255	52	(	(	PUNCT
cana-1116	255	53	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	255	54	−	−	PROPN
cana-1116	255	55	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	255	56	∗)+(𝑉𝑇𝐵	∗)+(𝑉𝑇𝐵	PROPN
cana-1116	255	57	−	−	NOUN
cana-1116	255	58	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	255	59	∗	∗	NOUN
cana-1116	255	60	)	)	PUNCT
cana-1116	256	1	+	+	CCONJ
cana-1116	256	2	(	(	PUNCT
cana-1116	256	3	𝐸𝑇𝐵	𝐸𝑇𝐵	ADP
cana-1116	256	4	−	−	NUM
cana-1116	256	5	𝐸𝑇𝐵	𝐸𝑇𝐵	ADJ
cana-1116	256	6	∗	∗	NOUN
cana-1116	256	7	)	)	PUNCT
cana-1116	257	1	+	+	CCONJ
cana-1116	257	2	(	(	PUNCT
cana-1116	257	3	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	257	4	−	−	PROPN
cana-1116	257	5	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	257	6	∗	∗	NOUN
cana-1116	257	7	)	)	PUNCT
cana-1116	258	1	+	+	CCONJ
cana-1116	258	2	(	(	PUNCT
cana-1116	258	3	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	258	4	−	−	NOUN
cana-1116	258	5	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	258	6	∗	∗	NOUN
cana-1116	258	7	)	)	PUNCT
cana-1116	259	1	+	+	CCONJ
cana-1116	259	2	(	(	PUNCT
cana-1116	259	3	𝑅𝑇𝐵	𝑅𝑇𝐵	PRON
cana-1116	259	4	−	−	PROPN
cana-1116	259	5	𝑅𝑇𝐵	𝑅𝑇𝐵	DET
cana-1116	259	6	∗	∗	NOUN
cana-1116	259	7	)	)	PUNCT
cana-1116	259	8	)	)	PUNCT
cana-1116	259	9	the	the	DET
cana-1116	259	10	function	function	NOUN
cana-1116	259	11	l	l	NOUN
cana-1116	259	12	has	have	VERB
cana-1116	259	13	a	a	DET
cana-1116	259	14	value	value	NOUN
cana-1116	259	15	greater	great	ADJ
cana-1116	259	16	than	than	ADP
cana-1116	259	17	zero	zero	NUM
cana-1116	259	18	,	,	PUNCT
cana-1116	259	19	and	and	CCONJ
cana-1116	259	20	at	at	ADP
cana-1116	259	21	the	the	DET
cana-1116	259	22	predominant	predominant	ADJ
cana-1116	259	23	equilibrium	equilibrium	NOUN
cana-1116	259	24	point	point	NOUN
cana-1116	259	25	σ𝑐	σ𝑐	NOUN
cana-1116	259	26	it	it	PRON
cana-1116	259	27	equals	equal	VERB
cana-1116	259	28	zero	zero	NUM
cana-1116	259	29	.	.	PUNCT
cana-1116	260	1	when	when	SCONJ
cana-1116	260	2	we	we	PRON
cana-1116	260	3	differentiation	differentiation	VERB
cana-1116	260	4	the	the	DET
cana-1116	260	5	function	function	NOUN
cana-1116	260	6	in	in	ADP
cana-1116	260	7	relation	relation	NOUN
cana-1116	260	8	to	to	ADP
cana-1116	260	9	time	time	NOUN
cana-1116	260	10	,	,	PUNCT
cana-1116	260	11	we	we	PRON
cana-1116	260	12	get	get	VERB
cana-1116	260	13	𝑑𝐿	𝑑𝐿	ADJ
cana-1116	260	14	𝑑𝑡	𝑑𝑡	ADP
cana-1116	260	15	=	=	SYM
cana-1116	260	16	(	(	PUNCT
cana-1116	260	17	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	260	18	−	−	PROPN
cana-1116	260	19	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	260	20	∗)+(𝑉𝑇𝐵	∗)+(𝑉𝑇𝐵	PROPN
cana-1116	261	1	−	−	NOUN
cana-1116	261	2	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	261	3	∗	∗	NOUN
cana-1116	261	4	)	)	PUNCT
cana-1116	262	1	+	+	CCONJ
cana-1116	262	2	(	(	PUNCT
cana-1116	262	3	𝐸𝑇𝐵	𝐸𝑇𝐵	ADP
cana-1116	262	4	−	−	NUM
cana-1116	262	5	𝐸𝑇𝐵	𝐸𝑇𝐵	ADJ
cana-1116	262	6	∗	∗	NOUN
cana-1116	262	7	)	)	PUNCT
cana-1116	263	1	+	+	CCONJ
cana-1116	263	2	(	(	PUNCT
cana-1116	263	3	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	263	4	−	−	PROPN
cana-1116	263	5	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	263	6	∗	∗	NOUN
cana-1116	263	7	)	)	PUNCT
cana-1116	264	1	+	+	CCONJ
cana-1116	264	2	(	(	PUNCT
cana-1116	264	3	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	264	4	−	−	NOUN
cana-1116	264	5	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	264	6	∗	∗	NOUN
cana-1116	264	7	)	)	PUNCT
cana-1116	265	1	+	+	CCONJ
cana-1116	265	2	(	(	PUNCT
cana-1116	265	3	𝑅𝑇𝐵	𝑅𝑇𝐵	PRON
cana-1116	265	4	−	−	PROPN
cana-1116	265	5	𝑅𝑇𝐵	𝑅𝑇𝐵	DET
cana-1116	265	6	∗	∗	NOUN
cana-1116	265	7	)	)	PUNCT
cana-1116	265	8	(	(	PUNCT
cana-1116	265	9	46	46	X
cana-1116	265	10	)	)	PUNCT
cana-1116	265	11	𝑑𝑆𝑇𝐵	𝑑𝑆𝑇𝐵	NOUN
cana-1116	265	12	𝑑𝑡	𝑑𝑡	ADP
cana-1116	265	13	+	+	CCONJ
cana-1116	265	14	𝑑𝑉𝑇𝐵	𝑑𝑉𝑇𝐵	NOUN
cana-1116	265	15	𝑑𝑡	𝑑𝑡	ADP
cana-1116	265	16	+	+	CCONJ
cana-1116	265	17	𝑑𝐸𝑇𝐵	𝑑𝐸𝑇𝐵	NOUN
cana-1116	265	18	𝑑𝑡	𝑑𝑡	ADP
cana-1116	265	19	+	+	ADJ
cana-1116	265	20	𝑑𝐼𝑇𝐵	𝑑𝐼𝑇𝐵	PROPN
cana-1116	265	21	𝑑𝑡	𝑑𝑡	ADP
cana-1116	265	22	+	+	X
cana-1116	265	23	𝑑𝐶𝑇𝐵	𝑑𝐶𝑇𝐵	NOUN
cana-1116	265	24	𝑑𝑡	𝑑𝑡	SCONJ
cana-1116	265	25	+	+	X
cana-1116	265	26	𝑑𝑅𝑇𝐵	𝑑𝑅𝑇𝐵	X
cana-1116	265	27	𝑑𝑡	𝑑𝑡	ADP
cana-1116	265	28	=	=	SYM
cana-1116	265	29	(	(	PUNCT
cana-1116	265	30	𝑁	𝑁	PROPN
cana-1116	265	31	−	−	PROPN
cana-1116	265	32	λ	λ	PROPN
cana-1116	265	33	𝜇	𝜇	ADP
cana-1116	265	34	)	)	PUNCT
cana-1116	265	35	(	(	PUNCT
cana-1116	265	36	λ	λ	X
cana-1116	265	37	−	−	PROPN
cana-1116	265	38	𝜇𝑁	𝜇𝑁	NOUN
cana-1116	265	39	)	)	PUNCT
cana-1116	265	40	≤	≤	NOUN
cana-1116	265	41	(	(	PUNCT
cana-1116	265	42	𝑁	𝑁	PROPN
cana-1116	265	43	−	−	PROPN
cana-1116	265	44	λ	λ	PROPN
cana-1116	265	45	𝜇	𝜇	ADP
cana-1116	265	46	)	)	PUNCT
cana-1116	265	47	(	(	PUNCT
cana-1116	265	48	λ	λ	X
cana-1116	265	49	−	−	PROPN
cana-1116	265	50	𝜇𝑁	𝜇𝑁	NOUN
cana-1116	265	51	)	)	PUNCT
cana-1116	265	52	≤	≤	ADV
cana-1116	265	53	−	−	PROPN
cana-1116	265	54	(	(	PUNCT
cana-1116	265	55	λ−𝜇𝑁	λ−𝜇𝑁	VERB
cana-1116	265	56	𝑁	𝑁	PROPN
cana-1116	265	57	)	)	PUNCT
cana-1116	265	58	2	2	NUM
cana-1116	265	59	≤	≤	NOUN
cana-1116	265	60	0	0	NUM
cana-1116	266	1	(	(	PUNCT
cana-1116	266	2	47	47	NUM
cana-1116	266	3	)	)	PUNCT
cana-1116	266	4	in	in	ADP
cana-1116	266	5	cases	case	NOUN
cana-1116	266	6	where	where	SCONJ
cana-1116	266	7	,	,	PUNCT
cana-1116	266	8	the	the	DET
cana-1116	266	9	function	function	NOUN
cana-1116	266	10	is	be	AUX
cana-1116	266	11	strictly	strictly	ADV
cana-1116	266	12	lyapunov	lyapunov	ADJ
cana-1116	266	13	,	,	PUNCT
cana-1116	266	14	and	and	CCONJ
cana-1116	266	15	from	from	ADP
cana-1116	266	16	a	a	DET
cana-1116	266	17	global	global	ADJ
cana-1116	266	18	asymptotic	asymptotic	ADJ
cana-1116	266	19	perspective	perspective	NOUN
cana-1116	266	20	,	,	PUNCT
cana-1116	266	21	the	the	DET
cana-1116	266	22	permanent	permanent	ADJ
cana-1116	266	23	equilibrium	equilibrium	NOUN
cana-1116	266	24	point	point	NOUN
cana-1116	266	25	σ𝑐	σ𝑐	NOUN
cana-1116	266	26	is	be	AUX
cana-1116	266	27	stable	stable	ADJ
cana-1116	266	28	.	.	PUNCT
cana-1116	267	1	this	this	PRON
cana-1116	267	2	is	be	AUX
cana-1116	267	3	valid	valid	ADJ
cana-1116	267	4	for	for	ADP
cana-1116	267	5	𝑅𝑜	𝑅𝑜	PROPN
cana-1116	267	6	𝑐	𝑐	PROPN
cana-1116	267	7	>	>	X
cana-1116	267	8	1	1	NUM
cana-1116	267	9	as	as	SCONJ
cana-1116	267	10	this	this	PRON
cana-1116	267	11	proves	prove	VERB
cana-1116	267	12	that	that	SCONJ
cana-1116	267	13	σ𝑐	σ𝑐	NOUN
cana-1116	267	14	exists	exist	VERB
cana-1116	267	15	.	.	PUNCT
cana-1116	268	1	communications	communication	NOUN
cana-1116	268	2	on	on	ADP
cana-1116	268	3	applied	apply	VERB
cana-1116	268	4	nonlinear	nonlinear	ADJ
cana-1116	268	5	analysis	analysis	NOUN
cana-1116	268	6	issn	issn	NOUN
cana-1116	268	7	:	:	PUNCT
cana-1116	268	8	1074	1074	NUM
cana-1116	268	9	-	-	PUNCT
cana-1116	268	10	133x	133x	NUM
cana-1116	268	11	vol	vol	NOUN
cana-1116	268	12	31	31	NUM
cana-1116	268	13	no	no	NOUN
cana-1116	268	14	.	.	PUNCT
cana-1116	269	1	6s	6s	NUM
cana-1116	269	2	(	(	PUNCT
cana-1116	269	3	2024	2024	NUM
cana-1116	269	4	)	)	PUNCT
cana-1116	269	5	27	27	NUM
cana-1116	269	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	269	7	both	both	CCONJ
cana-1116	269	8	epidemiologically	epidemiologically	ADV
cana-1116	269	9	and	and	CCONJ
cana-1116	269	10	clinically	clinically	ADV
cana-1116	269	11	,	,	PUNCT
cana-1116	269	12	these	these	DET
cana-1116	269	13	results	result	NOUN
cana-1116	269	14	point	point	VERB
cana-1116	269	15	to	to	ADP
cana-1116	269	16	an	an	DET
cana-1116	269	17	exceptionally	exceptionally	ADV
cana-1116	269	18	long	long	ADJ
cana-1116	269	19	survival	survival	NOUN
cana-1116	269	20	period	period	NOUN
cana-1116	269	21	for	for	ADP
cana-1116	269	22	tuberculosis	tuberculosis	NOUN
cana-1116	269	23	in	in	ADP
cana-1116	269	24	humans	human	NOUN
cana-1116	269	25	.	.	PUNCT
cana-1116	270	1	4	4	X
cana-1116	270	2	.	.	X
cana-1116	270	3	numerical	numerical	PROPN
cana-1116	270	4	simulation	simulation	PROPN
cana-1116	270	5	the	the	DET
cana-1116	270	6	aim	aim	NOUN
cana-1116	270	7	of	of	ADP
cana-1116	270	8	the	the	DET
cana-1116	270	9	current	current	ADJ
cana-1116	270	10	research	research	NOUN
cana-1116	270	11	was	be	AUX
cana-1116	270	12	to	to	PART
cana-1116	270	13	examine	examine	VERB
cana-1116	270	14	how	how	SCONJ
cana-1116	270	15	the	the	DET
cana-1116	270	16	model	model	NOUN
cana-1116	270	17	structure	structure	NOUN
cana-1116	270	18	was	be	AUX
cana-1116	270	19	impacted	impact	VERB
cana-1116	270	20	by	by	ADP
cana-1116	270	21	vaccination	vaccination	NOUN
cana-1116	270	22	,	,	PUNCT
cana-1116	270	23	exogenous	exogenous	ADJ
cana-1116	270	24	re	re	NOUN
cana-1116	270	25	-	-	NOUN
cana-1116	270	26	infection	infection	NOUN
cana-1116	270	27	and	and	CCONJ
cana-1116	270	28	the	the	DET
cana-1116	270	29	rate	rate	NOUN
cana-1116	270	30	of	of	ADP
cana-1116	270	31	transmission	transmission	NOUN
cana-1116	270	32	.	.	PUNCT
cana-1116	271	1	this	this	DET
cana-1116	271	2	section	section	NOUN
cana-1116	271	3	primarily	primarily	ADV
cana-1116	271	4	presents	present	VERB
cana-1116	271	5	some	some	PRON
cana-1116	271	6	of	of	ADP
cana-1116	271	7	the	the	DET
cana-1116	271	8	computational	computational	ADJ
cana-1116	271	9	simulation	simulation	NOUN
cana-1116	271	10	findings	finding	VERB
cana-1116	271	11	in	in	ADP
cana-1116	271	12	order	order	NOUN
cana-1116	271	13	to	to	PART
cana-1116	271	14	demonstrate	demonstrate	VERB
cana-1116	271	15	the	the	DET
cana-1116	271	16	mathematical	mathematical	ADJ
cana-1116	271	17	results	result	NOUN
cana-1116	271	18	.	.	PUNCT
cana-1116	272	1	estimating	estimate	VERB
cana-1116	272	2	the	the	DET
cana-1116	272	3	sveicr	sveicr	PROPN
cana-1116	272	4	model	model	NOUN
cana-1116	272	5	of	of	ADP
cana-1116	272	6	mycobacterium	mycobacterium	NOUN
cana-1116	272	7	tuberculosis	tuberculosis	NOUN
cana-1116	272	8	transmission	transmission	NOUN
cana-1116	272	9	has	have	AUX
cana-1116	272	10	been	be	AUX
cana-1116	272	11	simulated	simulate	VERB
cana-1116	272	12	along	along	ADP
cana-1116	272	13	with	with	ADP
cana-1116	272	14	the	the	DET
cana-1116	272	15	rate	rate	NOUN
cana-1116	272	16	of	of	ADP
cana-1116	272	17	recruitment	recruitment	NOUN
cana-1116	272	18	of	of	ADP
cana-1116	272	19	individuals	individual	NOUN
cana-1116	272	20	in	in	ADP
cana-1116	272	21	each	each	DET
cana-1116	272	22	compartment	compartment	NOUN
cana-1116	272	23	,	,	PUNCT
cana-1116	272	24	which	which	PRON
cana-1116	272	25	is	be	AUX
cana-1116	272	26	the	the	DET
cana-1116	272	27	outcome	outcome	NOUN
cana-1116	272	28	of	of	ADP
cana-1116	272	29	computing	compute	VERB
cana-1116	272	30	the	the	DET
cana-1116	272	31	model	model	NOUN
cana-1116	272	32	with	with	ADP
cana-1116	272	33	table	table	NOUN
cana-1116	272	34	1	1	NUM
cana-1116	272	35	displays	display	VERB
cana-1116	272	36	the	the	DET
cana-1116	272	37	models	model	NOUN
cana-1116	272	38	’	’	PART
cana-1116	272	39	parameters	parameter	NOUN
cana-1116	272	40	and	and	CCONJ
cana-1116	272	41	initial	initial	ADJ
cana-1116	272	42	values	value	NOUN
cana-1116	272	43	.	.	PUNCT
cana-1116	273	1	parameters	parameter	NOUN
cana-1116	273	2	values	value	NOUN
cana-1116	273	3	source	source	NOUN
cana-1116	273	4	n	n	PROPN
cana-1116	273	5	50000	50000	NUM
cana-1116	273	6	assumption	assumption	NOUN
cana-1116	273	7	s𝑇𝐵	s𝑇𝐵	NOUN
cana-1116	273	8	8000	8000	NUM
cana-1116	273	9	assumption	assumption	NOUN
cana-1116	273	10	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	273	11	7000	7000	NUM
cana-1116	273	12	assumption	assumption	NOUN
cana-1116	273	13	𝐸𝑇𝐵	𝐸𝑇𝐵	PROPN
cana-1116	273	14	9000	9000	NUM
cana-1116	273	15	assumption	assumption	NOUN
cana-1116	273	16	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	273	17	10000	10000	NUM
cana-1116	273	18	assumption	assumption	NOUN
cana-1116	273	19	c𝑇𝐵	c𝑇𝐵	PROPN
cana-1116	273	20	9500	9500	NUM
cana-1116	273	21	assumption	assumption	NOUN
cana-1116	273	22	𝑅𝑇𝐵	𝑅𝑇𝐵	ADP
cana-1116	273	23	6500	6500	NUM
cana-1116	273	24	assumption	assumption	NOUN
cana-1116	273	25	λ	λ	PROPN
cana-1116	273	26	0.35	0.35	NUM
cana-1116	273	27	assumption	assumption	NOUN
cana-1116	273	28	𝛾	𝛾	PROPN
cana-1116	273	29	0.25	0.25	NUM
cana-1116	273	30	assumption	assumption	NOUN
cana-1116	273	31	𝜃	𝜃	NUM
cana-1116	273	32	0.10	0.10	NUM
cana-1116	273	33	assumption	assumption	NOUN
cana-1116	273	34	𝜇	𝜇	ADP
cana-1116	273	35	0.65	0.65	NUM
cana-1116	273	36	assumption	assumption	NOUN
cana-1116	273	37	𝜉	𝜉	ADP
cana-1116	273	38	0.75	0.75	NUM
cana-1116	273	39	assumption	assumption	NOUN
cana-1116	273	40	𝛽𝑞	𝛽𝑞	ADP
cana-1116	273	41	0.85	0.85	NUM
cana-1116	273	42	assumption	assumption	NOUN
cana-1116	273	43	𝜏	𝜏	ADP
cana-1116	273	44	0.67	0.67	NUM
cana-1116	273	45	assumption	assumption	NOUN
cana-1116	273	46	𝜋	𝜋	NOUN
cana-1116	273	47	0.6	0.6	NUM
cana-1116	273	48	assumption	assumption	NOUN
cana-1116	273	49	𝛽𝑢	𝛽𝑢	ADP
cana-1116	273	50	0.88	0.88	NUM
cana-1116	273	51	assumption	assumption	NOUN
cana-1116	273	52	𝜎𝛽	𝜎𝛽	PROPN
cana-1116	273	53	0.95	0.95	NUM
cana-1116	273	54	assumption	assumption	NOUN
cana-1116	273	55	𝛽𝑝	𝛽𝑝	ADP
cana-1116	273	56	0.15	0.15	NUM
cana-1116	273	57	assumption	assumption	NOUN
cana-1116	273	58	table.1	table.1	NOUN
cana-1116	273	59	substituting	substitute	VERB
cana-1116	273	60	the	the	DET
cana-1116	273	61	disease	disease	NOUN
cana-1116	273	62	-	-	PUNCT
cana-1116	273	63	free	free	ADJ
cana-1116	273	64	parameter	parameter	NOUN
cana-1116	273	65	values	value	NOUN
cana-1116	273	66	in	in	ADP
cana-1116	273	67	table	table	NOUN
cana-1116	273	68	1	1	NUM
cana-1116	273	69	into	into	ADP
cana-1116	273	70	equation	equation	NOUN
cana-1116	273	71	(	(	PUNCT
cana-1116	273	72	1	1	X
cana-1116	273	73	)	)	PUNCT
cana-1116	273	74	we	we	PRON
cana-1116	273	75	get	get	VERB
cana-1116	273	76	equation	equation	NOUN
cana-1116	273	77	(	(	PUNCT
cana-1116	273	78	48	48	NUM
cana-1116	273	79	)	)	PUNCT
cana-1116	273	80	to	to	ADP
cana-1116	273	81	equation	equation	NOUN
cana-1116	273	82	(	(	PUNCT
cana-1116	273	83	53	53	NUM
cana-1116	273	84	)	)	PUNCT
cana-1116	273	85	.	.	PUNCT
cana-1116	274	1	𝑑𝑆𝑇𝐵	𝑑𝑆𝑇𝐵	NOUN
cana-1116	274	2	ⅆ𝑡	ⅆ𝑡	ADP
cana-1116	275	1	=	=	NOUN
cana-1116	275	2	0.35	0.35	NUM
cana-1116	275	3	+	+	CCONJ
cana-1116	275	4	(	(	PUNCT
cana-1116	275	5	0.25)𝑅𝑇𝐵	0.25)𝑅𝑇𝐵	X
cana-1116	275	6	+	+	X
cana-1116	275	7	(	(	PUNCT
cana-1116	275	8	0.10)𝑉𝑇𝐵	0.10)𝑉𝑇𝐵	NOUN
cana-1116	275	9	−	−	PROPN
cana-1116	275	10	(	(	PUNCT
cana-1116	275	11	0.65)𝑆𝑇𝐵	0.65)𝑆𝑇𝐵	NOUN
cana-1116	275	12	−	−	PROPN
cana-1116	275	13	(	(	PUNCT
cana-1116	275	14	0.75)𝑆𝑇𝐵	0.75)𝑆𝑇𝐵	NOUN
cana-1116	275	15	−	−	PROPN
cana-1116	275	16	(	(	PUNCT
cana-1116	275	17	0.15)𝑆𝑇𝐵	0.15)𝑆𝑇𝐵	NOUN
cana-1116	275	18	(	(	PUNCT
cana-1116	275	19	48	48	NUM
cana-1116	275	20	)	)	PUNCT
cana-1116	275	21	𝑑𝑉𝑇𝐵	𝑑𝑉𝑇𝐵	NOUN
cana-1116	275	22	ⅆ𝑡	ⅆ𝑡	ADP
cana-1116	275	23	=	=	SYM
cana-1116	275	24	(	(	PUNCT
cana-1116	275	25	0.75)𝑆𝑇𝐵	0.75)𝑆𝑇𝐵	NOUN
cana-1116	275	26	−	−	PROPN
cana-1116	276	1	(	(	PUNCT
cana-1116	276	2	0.65)𝑉𝑇𝐵	0.65)𝑉𝑇𝐵	NOUN
cana-1116	276	3	−	−	PROPN
cana-1116	276	4	(	(	PUNCT
cana-1116	276	5	0.88)𝑉𝑇𝐵	0.88)𝑉𝑇𝐵	NOUN
cana-1116	276	6	−	−	PROPN
cana-1116	276	7	(	(	PUNCT
cana-1116	276	8	0.10)𝑉𝑇𝐵	0.10)𝑉𝑇𝐵	PROPN
cana-1116	276	9	(	(	PUNCT
cana-1116	276	10	49	49	NUM
cana-1116	276	11	)	)	PUNCT
cana-1116	276	12	𝑑𝐸𝑇𝐵	𝑑𝐸𝑇𝐵	NOUN
cana-1116	276	13	ⅆ𝑡	ⅆ𝑡	ADP
cana-1116	276	14	=	=	PRON
cana-1116	276	15	(	(	PUNCT
cana-1116	276	16	0.15)𝑆𝑇𝐵	0.15)𝑆𝑇𝐵	NOUN
cana-1116	276	17	+	+	CCONJ
cana-1116	276	18	(	(	PUNCT
cana-1116	276	19	0.88)𝑉𝑇𝐵	0.88)𝑉𝑇𝐵	NOUN
cana-1116	276	20	+	+	CCONJ
cana-1116	276	21	(	(	PUNCT
cana-1116	276	22	0.95)𝑅𝑇𝐵	0.95)𝑅𝑇𝐵	INTJ
cana-1116	276	23	−	−	PROPN
cana-1116	276	24	(	(	PUNCT
cana-1116	276	25	0.65)𝐸𝑇𝐵	0.65)𝐸𝑇𝐵	NOUN
cana-1116	276	26	−	−	X
cana-1116	276	27	(	(	PUNCT
cana-1116	276	28	0.85)𝐸𝑇𝐵	0.85)𝐸𝑇𝐵	X
cana-1116	276	29	(	(	PUNCT
cana-1116	276	30	50	50	NUM
cana-1116	276	31	)	)	PUNCT
cana-1116	276	32	𝑑𝐼𝑇𝐵	𝑑𝐼𝑇𝐵	NOUN
cana-1116	276	33	ⅆ𝑡	ⅆ𝑡	ADP
cana-1116	276	34	=	=	X
cana-1116	276	35	(	(	PUNCT
cana-1116	276	36	0.15)𝐸𝑇𝐵	0.15)𝐸𝑇𝐵	NOUN
cana-1116	276	37	−	−	PROPN
cana-1116	276	38	(	(	PUNCT
cana-1116	276	39	0.65)𝐼𝑇𝐵	0.65)𝐼𝑇𝐵	X
cana-1116	276	40	−	−	PROPN
cana-1116	276	41	(	(	PUNCT
cana-1116	276	42	0.67)𝐼𝑇𝐵	0.67)𝐼𝑇𝐵	NOUN
cana-1116	276	43	(	(	PUNCT
cana-1116	276	44	51	51	NUM
cana-1116	276	45	)	)	PUNCT
cana-1116	276	46	𝑑𝐶𝑇𝐵	𝑑𝐶𝑇𝐵	VERB
cana-1116	276	47	ⅆ𝑡	ⅆ𝑡	ADP
cana-1116	276	48	=	=	SYM
cana-1116	276	49	(	(	PUNCT
cana-1116	276	50	0.67)𝐼𝑇𝐵	0.67)𝐼𝑇𝐵	NOUN
cana-1116	276	51	−	−	X
cana-1116	276	52	(	(	PUNCT
cana-1116	276	53	0.65)𝐶𝑇𝐵	0.65)𝐶𝑇𝐵	X
cana-1116	276	54	−	−	X
cana-1116	276	55	(	(	PUNCT
cana-1116	276	56	0.6)𝐶𝑇𝐵	0.6)𝐶𝑇𝐵	NOUN
cana-1116	276	57	(	(	PUNCT
cana-1116	276	58	52	52	NUM
cana-1116	276	59	)	)	PUNCT
cana-1116	276	60	𝑑𝑅𝑇𝐵	𝑑𝑅𝑇𝐵	X
cana-1116	276	61	ⅆ𝑡	ⅆ𝑡	ADP
cana-1116	276	62	=	=	SYM
cana-1116	276	63	(	(	PUNCT
cana-1116	276	64	0.6)𝐶𝑇𝐵	0.6)𝐶𝑇𝐵	X
cana-1116	276	65	−	−	PROPN
cana-1116	276	66	(	(	PUNCT
cana-1116	276	67	0.65)𝑅𝑇𝐵	0.65)𝑅𝑇𝐵	PROPN
cana-1116	277	1	−	−	PROPN
cana-1116	277	2	(	(	PUNCT
cana-1116	277	3	0.25)𝑅𝑇𝐵	0.25)𝑅𝑇𝐵	NOUN
cana-1116	277	4	−	−	PROPN
cana-1116	277	5	(	(	PUNCT
cana-1116	277	6	0.95)𝑅𝑇𝐵	0.95)𝑅𝑇𝐵	INTJ
cana-1116	277	7	(	(	PUNCT
cana-1116	277	8	53	53	NUM
cana-1116	277	9	)	)	PUNCT
cana-1116	277	10	communications	communication	NOUN
cana-1116	277	11	on	on	ADP
cana-1116	277	12	applied	apply	VERB
cana-1116	277	13	nonlinear	nonlinear	ADJ
cana-1116	277	14	analysis	analysis	NOUN
cana-1116	277	15	issn	issn	NOUN
cana-1116	277	16	:	:	PUNCT
cana-1116	277	17	1074	1074	NUM
cana-1116	277	18	-	-	PUNCT
cana-1116	277	19	133x	133x	NUM
cana-1116	277	20	vol	vol	NOUN
cana-1116	277	21	31	31	NUM
cana-1116	277	22	no	no	NOUN
cana-1116	277	23	.	.	PUNCT
cana-1116	278	1	6s	6s	NUM
cana-1116	278	2	(	(	PUNCT
cana-1116	278	3	2024	2024	NUM
cana-1116	278	4	)	)	PUNCT
cana-1116	278	5	28	28	NUM
cana-1116	278	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	279	1	the	the	DET
cana-1116	279	2	tuberculosis	tuberculosis	NOUN
cana-1116	279	3	free	free	ADJ
cana-1116	279	4	equilibrium	equilibrium	NOUN
cana-1116	279	5	point	point	NOUN
cana-1116	279	6	,	,	PUNCT
cana-1116	279	7	and	and	CCONJ
cana-1116	279	8	its	its	PRON
cana-1116	279	9	corresponding	correspond	VERB
cana-1116	279	10	eigen	eigen	PROPN
cana-1116	279	11	values	value	NOUN
cana-1116	279	12	can	can	AUX
cana-1116	279	13	be	be	AUX
cana-1116	279	14	found	find	VERB
cana-1116	279	15	if	if	SCONJ
cana-1116	279	16	equation	equation	NOUN
cana-1116	279	17	(	(	PUNCT
cana-1116	279	18	48	48	NUM
cana-1116	279	19	-	-	SYM
cana-1116	279	20	53	53	NUM
cana-1116	279	21	)	)	PUNCT
cana-1116	279	22	is	be	AUX
cana-1116	279	23	set	set	VERB
cana-1116	279	24	to	to	ADP
cana-1116	279	25	zero	zero	NUM
cana-1116	279	26	.	.	PUNCT
cana-1116	280	1	dfe=	dfe=	PROPN
cana-1116	280	2	(	(	PUNCT
cana-1116	280	3	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	280	4	,	,	PUNCT
cana-1116	280	5	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	280	6	,	,	PUNCT
cana-1116	280	7	𝐸𝑇𝐵	𝐸𝑇𝐵	PROPN
cana-1116	280	8	,	,	PUNCT
cana-1116	280	9	𝐼𝑇𝐵	𝐼𝑇𝐵	PROPN
cana-1116	280	10	,	,	PUNCT
cana-1116	280	11	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	280	12	,	,	PUNCT
cana-1116	280	13	𝑅𝑇𝐵	𝑅𝑇𝐵	PROPN
cana-1116	280	14	)	)	PUNCT
cana-1116	280	15	=	=	SYM
cana-1116	280	16	(	(	PUNCT
cana-1116	280	17	λ	λ	X
cana-1116	280	18	μ+𝜉+𝛽𝑝	μ+𝜉+𝛽𝑝	PROPN
cana-1116	280	19	,	,	PUNCT
cana-1116	280	20	0	0	NUM
cana-1116	280	21	,	,	PUNCT
cana-1116	280	22	0	0	NUM
cana-1116	280	23	,	,	PUNCT
cana-1116	280	24	0	0	NUM
cana-1116	280	25	,	,	PUNCT
cana-1116	280	26	0	0	NUM
cana-1116	280	27	,	,	PUNCT
cana-1116	280	28	0	0	NUM
cana-1116	280	29	)	)	PUNCT
cana-1116	280	30	𝜆1	𝜆1	NOUN
cana-1116	280	31	=	=	PUNCT
cana-1116	281	1	−1.55	−1.55	NOUN
cana-1116	281	2	(	(	PUNCT
cana-1116	281	3	54	54	NUM
cana-1116	281	4	)	)	PUNCT
cana-1116	281	5	𝜆2	𝜆2	NOUN
cana-1116	281	6	=	=	SYM
cana-1116	282	1	−1.63	−1.63	INTJ
cana-1116	282	2	(	(	PUNCT
cana-1116	282	3	55	55	NUM
cana-1116	282	4	)	)	PUNCT
cana-1116	282	5	𝜆3	𝜆3	NOUN
cana-1116	282	6	=	=	SYM
cana-1116	283	1	−85.65	−85.65	PROPN
cana-1116	283	2	(	(	PUNCT
cana-1116	283	3	56	56	NUM
cana-1116	283	4	)	)	PUNCT
cana-1116	283	5	𝜆4	𝜆4	NOUN
cana-1116	283	6	=	=	SYM
cana-1116	283	7	−1.32	−1.32	PROPN
cana-1116	283	8	(	(	PUNCT
cana-1116	283	9	57	57	NUM
cana-1116	283	10	)	)	PUNCT
cana-1116	283	11	𝜆5	𝜆5	NOUN
cana-1116	283	12	=	=	SYM
cana-1116	283	13	−1.25	−1.25	PROPN
cana-1116	283	14	(	(	PUNCT
cana-1116	283	15	58	58	NUM
cana-1116	283	16	)	)	PUNCT
cana-1116	284	1	𝜆6	𝜆6	PROPN
cana-1116	284	2	=	=	SYM
cana-1116	284	3	−1.85	−1.85	PROPN
cana-1116	284	4	(	(	PUNCT
cana-1116	284	5	59	59	NUM
cana-1116	284	6	)	)	PUNCT
cana-1116	284	7	if	if	SCONJ
cana-1116	284	8	the	the	DET
cana-1116	284	9	disease	disease	NOUN
cana-1116	284	10	-	-	PUNCT
cana-1116	284	11	free	free	ADJ
cana-1116	284	12	parameter	parameter	NOUN
cana-1116	284	13	values	value	NOUN
cana-1116	284	14	are	be	AUX
cana-1116	284	15	substituting	substitute	VERB
cana-1116	284	16	into	into	ADP
cana-1116	284	17	equation	equation	NOUN
cana-1116	284	18	(	(	PUNCT
cana-1116	284	19	10	10	NUM
cana-1116	284	20	)	)	PUNCT
cana-1116	284	21	,	,	PUNCT
cana-1116	284	22	the	the	DET
cana-1116	284	23	basic	basic	ADJ
cana-1116	284	24	reproduction	reproduction	NOUN
cana-1116	284	25	number	number	NOUN
cana-1116	284	26	value	value	NOUN
cana-1116	284	27	is	be	AUX
cana-1116	284	28	obtained	obtain	VERB
cana-1116	284	29	:	:	PUNCT
cana-1116	284	30	𝑅0	𝑅0	PROPN
cana-1116	284	31	=	=	SYM
cana-1116	284	32	0.643939	0.643939	NUM
cana-1116	284	33	=	=	NOUN
cana-1116	284	34	𝑅0	𝑅0	NOUN
cana-1116	284	35	<	<	X
cana-1116	284	36	1	1	NUM
cana-1116	284	37	.	.	PUNCT
cana-1116	285	1	(	(	PUNCT
cana-1116	285	2	60	60	NUM
cana-1116	285	3	)	)	PUNCT
cana-1116	285	4	the	the	DET
cana-1116	285	5	fundamental	fundamental	ADJ
cana-1116	285	6	reproductive	reproductive	ADJ
cana-1116	285	7	number	number	NOUN
cana-1116	285	8	value	value	NOUN
cana-1116	285	9	is	be	AUX
cana-1116	285	10	determined	determine	VERB
cana-1116	285	11	through	through	ADP
cana-1116	285	12	entering	enter	VERB
cana-1116	285	13	the	the	DET
cana-1116	285	14	disease	disease	NOUN
cana-1116	285	15	-	-	PUNCT
cana-1116	285	16	free	free	ADJ
cana-1116	285	17	parameter	parameter	NOUN
cana-1116	285	18	values	value	NOUN
cana-1116	285	19	into	into	ADP
cana-1116	285	20	equations	equation	NOUN
cana-1116	285	21	(	(	PUNCT
cana-1116	285	22	10	10	NUM
cana-1116	285	23	)	)	PUNCT
cana-1116	285	24	,	,	PUNCT
cana-1116	285	25	𝑅0	𝑅0	PROPN
cana-1116	285	26	=	=	SYM
cana-1116	285	27	0.643939	0.643939	NUM
cana-1116	285	28	=	=	SYM
cana-1116	285	29	𝑅0	𝑅0	NOUN
cana-1116	285	30	<	<	X
cana-1116	285	31	1.the	1.the	DET
cana-1116	285	32	results	result	NOUN
cana-1116	285	33	of	of	ADP
cana-1116	285	34	the	the	DET
cana-1116	285	35	simulation	simulation	NOUN
cana-1116	285	36	for	for	ADP
cana-1116	285	37	the	the	DET
cana-1116	285	38	parameter	parameter	NOUN
cana-1116	285	39	's	's	PART
cana-1116	285	40	values	value	NOUN
cana-1116	285	41	indicate	indicate	VERB
cana-1116	285	42	vitality	vitality	NOUN
cana-1116	285	43	.	.	PUNCT
cana-1116	286	1	in	in	ADP
cana-1116	286	2	this	this	DET
cana-1116	286	3	table	table	NOUN
cana-1116	286	4	we	we	PRON
cana-1116	286	5	are	be	AUX
cana-1116	286	6	using	use	VERB
cana-1116	286	7	numerical	numerical	ADJ
cana-1116	286	8	values	value	NOUN
cana-1116	286	9	and	and	CCONJ
cana-1116	286	10	discussed	discuss	VERB
cana-1116	286	11	the	the	DET
cana-1116	286	12	illusion	illusion	NOUN
cana-1116	286	13	of	of	ADP
cana-1116	286	14	individual	individual	NOUN
cana-1116	286	15	at	at	ADP
cana-1116	286	16	stage	stage	NOUN
cana-1116	286	17	of	of	ADP
cana-1116	286	18	tb	tb	NOUN
cana-1116	286	19	,	,	PUNCT
cana-1116	286	20	we	we	PRON
cana-1116	286	21	obtained	obtain	VERB
cana-1116	286	22	free	free	ADJ
cana-1116	286	23	equilibrium	equilibrium	NOUN
cana-1116	286	24	point	point	NOUN
cana-1116	286	25	's	's	PART
cana-1116	286	26	t.b	t.b	PROPN
cana-1116	286	27	.	.	PROPN
cana-1116	286	28	model	model	PROPN
cana-1116	286	29	.	.	PUNCT
cana-1116	287	1	we	we	PRON
cana-1116	287	2	get	get	VERB
cana-1116	287	3	the	the	DET
cana-1116	287	4	result	result	NOUN
cana-1116	287	5	of	of	ADP
cana-1116	287	6	negative	negative	ADJ
cana-1116	287	7	eigen	eigen	PROPN
cana-1116	287	8	values	value	NOUN
cana-1116	287	9	and	and	CCONJ
cana-1116	287	10	its	its	PRON
cana-1116	287	11	control	control	NOUN
cana-1116	287	12	infection	infection	NOUN
cana-1116	287	13	of	of	ADP
cana-1116	287	14	disease	disease	NOUN
cana-1116	287	15	among	among	ADP
cana-1116	287	16	the	the	DET
cana-1116	287	17	populations	population	NOUN
cana-1116	287	18	and	and	CCONJ
cana-1116	287	19	final	final	ADJ
cana-1116	287	20	stage	stage	NOUN
cana-1116	287	21	is	be	AUX
cana-1116	287	22	stable	stable	ADJ
cana-1116	287	23	.	.	PUNCT
cana-1116	288	1	the	the	DET
cana-1116	288	2	fundamental	fundamental	ADJ
cana-1116	288	3	reproductive	reproductive	ADJ
cana-1116	288	4	number	number	NOUN
cana-1116	288	5	value	value	NOUN
cana-1116	288	6	is	be	AUX
cana-1116	288	7	determined	determine	VERB
cana-1116	288	8	through	through	ADP
cana-1116	288	9	entering	enter	VERB
cana-1116	288	10	the	the	DET
cana-1116	288	11	disease	disease	NOUN
cana-1116	288	12	-	-	PUNCT
cana-1116	288	13	free	free	ADJ
cana-1116	288	14	parameter	parameter	NOUN
cana-1116	288	15	values	value	NOUN
cana-1116	288	16	and	and	CCONJ
cana-1116	288	17	the	the	DET
cana-1116	288	18	reproduction	reproduction	NOUN
cana-1116	288	19	rate	rate	NOUN
cana-1116	288	20	𝑅0	𝑅0	NOUN
cana-1116	288	21	<	<	X
cana-1116	288	22	1	1	NUM
cana-1116	288	23	.	.	NOUN
cana-1116	288	24	5	5	NUM
cana-1116	288	25	.	.	X
cana-1116	289	1	discussion	discussion	NOUN
cana-1116	289	2	here	here	ADV
cana-1116	289	3	we	we	PRON
cana-1116	289	4	discussed	discuss	VERB
cana-1116	289	5	the	the	DET
cana-1116	289	6	simulation	simulation	NOUN
cana-1116	289	7	of	of	ADP
cana-1116	289	8	the	the	DET
cana-1116	289	9	sveicr	sveicr	PROPN
cana-1116	289	10	model	model	NOUN
cana-1116	289	11	of	of	ADP
cana-1116	289	12	tuberculosis	tuberculosis	NOUN
cana-1116	289	13	transmission	transmission	NOUN
cana-1116	289	14	of	of	ADP
cana-1116	289	15	six	six	NUM
cana-1116	289	16	compartment	compartment	NOUN
cana-1116	289	17	stage	stage	NOUN
cana-1116	289	18	.	.	PUNCT
cana-1116	290	1	𝑆𝑇𝐵-𝑉𝑇𝐵-𝐸𝑇𝐵-𝐼𝑇𝐵-𝐶𝑇𝐵-𝑅𝑇𝐵.	𝑆𝑇𝐵-𝑉𝑇𝐵-𝐸𝑇𝐵-𝐼𝑇𝐵-𝐶𝑇𝐵-𝑅𝑇𝐵.	PROPN
cana-1116	290	2	in	in	ADP
cana-1116	290	3	this	this	DET
cana-1116	290	4	part	part	NOUN
cana-1116	290	5	we	we	PRON
cana-1116	290	6	used	use	VERB
cana-1116	290	7	random	random	ADJ
cana-1116	290	8	data	datum	NOUN
cana-1116	290	9	,	,	PUNCT
cana-1116	290	10	to	to	PART
cana-1116	290	11	apply	apply	VERB
cana-1116	290	12	some	some	DET
cana-1116	290	13	mathematical	mathematical	ADJ
cana-1116	290	14	loop	loop	NOUN
cana-1116	290	15	to	to	PART
cana-1116	290	16	control	control	VERB
cana-1116	290	17	the	the	DET
cana-1116	290	18	infection	infection	NOUN
cana-1116	290	19	of	of	ADP
cana-1116	290	20	the	the	DET
cana-1116	290	21	tb	tb	NOUN
cana-1116	290	22	disease	disease	NOUN
cana-1116	290	23	in	in	ADP
cana-1116	290	24	the	the	DET
cana-1116	290	25	individual	individual	ADJ
cana-1116	290	26	population	population	NOUN
cana-1116	290	27	.	.	PUNCT
cana-1116	291	1	we	we	PRON
cana-1116	291	2	showed	show	VERB
cana-1116	291	3	some	some	DET
cana-1116	291	4	result	result	NOUN
cana-1116	291	5	and	and	CCONJ
cana-1116	291	6	diagram	diagram	NOUN
cana-1116	291	7	of	of	ADP
cana-1116	291	8	the	the	DET
cana-1116	291	9	sveicr	sveicr	PROPN
cana-1116	291	10	model	model	NOUN
cana-1116	291	11	in	in	ADP
cana-1116	291	12	the	the	DET
cana-1116	291	13	below	below	ADJ
cana-1116	291	14	discussion	discussion	NOUN
cana-1116	291	15	part	part	NOUN
cana-1116	291	16	.	.	PUNCT
cana-1116	292	1	for	for	ADP
cana-1116	292	2	ease	ease	NOUN
cana-1116	292	3	,	,	PUNCT
cana-1116	292	4	we	we	PRON
cana-1116	292	5	used	use	VERB
cana-1116	292	6	some	some	DET
cana-1116	292	7	random	random	ADJ
cana-1116	292	8	data	datum	NOUN
cana-1116	292	9	to	to	PART
cana-1116	292	10	find	find	VERB
cana-1116	292	11	out	out	ADP
cana-1116	292	12	the	the	DET
cana-1116	292	13	infected	infected	ADJ
cana-1116	292	14	cases	case	NOUN
cana-1116	292	15	in	in	ADP
cana-1116	292	16	numerical	numerical	ADJ
cana-1116	292	17	simulation	simulation	PROPN
cana-1116	292	18	.	.	PUNCT
cana-1116	293	1	susceptible	susceptible	ADJ
cana-1116	293	2	𝑆𝑇𝐵	𝑆𝑇𝐵	PROPN
cana-1116	293	3	individuals	individual	NOUN
cana-1116	293	4	move	move	VERB
cana-1116	293	5	to	to	ADP
cana-1116	293	6	the	the	DET
cana-1116	293	7	vaccinated	vaccinated	ADJ
cana-1116	293	8	stage	stage	NOUN
cana-1116	293	9	𝑉𝑇𝐵	𝑉𝑇𝐵	PROPN
cana-1116	293	10	,	,	PUNCT
cana-1116	293	11	the	the	DET
cana-1116	293	12	latently	latently	ADV
cana-1116	293	13	exposed	expose	VERB
cana-1116	293	14	stage𝐸𝑇𝐵,the	stage𝐸𝑇𝐵,the	DET
cana-1116	293	15	infected	infected	ADJ
cana-1116	293	16	stage	stage	NOUN
cana-1116	293	17	of	of	ADP
cana-1116	293	18	people𝐼𝑇𝐵	people𝐼𝑇𝐵	PRON
cana-1116	293	19	,	,	PUNCT
cana-1116	293	20	the	the	DET
cana-1116	293	21	quarantine	quarantine	NOUN
cana-1116	293	22	stage	stage	NOUN
cana-1116	293	23	of	of	ADP
cana-1116	293	24	𝐶𝑇𝐵	𝐶𝑇𝐵	PROPN
cana-1116	293	25	people	people	NOUN
cana-1116	293	26	and	and	CCONJ
cana-1116	293	27	the	the	DET
cana-1116	293	28	recovered	recovered	ADJ
cana-1116	293	29	stage	stage	NOUN
cana-1116	293	30	of	of	ADP
cana-1116	293	31	𝑅𝑇𝐵	𝑅𝑇𝐵	ADP
cana-1116	293	32	,	,	PUNCT
cana-1116	293	33	all	all	DET
cana-1116	293	34	the	the	DET
cana-1116	293	35	stages	stage	NOUN
cana-1116	293	36	of	of	ADP
cana-1116	293	37	infected	infected	ADJ
cana-1116	293	38	people	people	NOUN
cana-1116	293	39	are	be	AUX
cana-1116	293	40	controlled	control	VERB
cana-1116	293	41	and	and	CCONJ
cana-1116	293	42	stable	stable	ADJ
cana-1116	293	43	.	.	PUNCT
cana-1116	294	1	we	we	PRON
cana-1116	294	2	analysed	analyse	VERB
cana-1116	294	3	the	the	DET
cana-1116	294	4	endemic	endemic	ADJ
cana-1116	294	5	equilibrium	equilibrium	NOUN
cana-1116	294	6	point	point	NOUN
cana-1116	294	7	's	's	PART
cana-1116	294	8	stability	stability	NOUN
cana-1116	294	9	in	in	ADP
cana-1116	294	10	this	this	DET
cana-1116	294	11	sveicr	sveicr	NOUN
cana-1116	294	12	model	model	NOUN
cana-1116	294	13	.	.	PUNCT
cana-1116	295	1	we	we	PRON
cana-1116	295	2	used	use	VERB
cana-1116	295	3	matlab	matlab	PROPN
cana-1116	295	4	to	to	PART
cana-1116	295	5	explore	explore	VERB
cana-1116	295	6	the	the	DET
cana-1116	295	7	results	result	NOUN
cana-1116	295	8	of	of	ADP
cana-1116	295	9	the	the	DET
cana-1116	295	10	diseases	disease	NOUN
cana-1116	295	11	are	be	AUX
cana-1116	295	12	controlled	control	VERB
cana-1116	295	13	and	and	CCONJ
cana-1116	295	14	stable	stable	ADJ
cana-1116	295	15	.	.	PUNCT
cana-1116	296	1	in	in	ADP
cana-1116	296	2	fig.2	fig.2	PROPN
cana-1116	296	3	the	the	DET
cana-1116	296	4	evaluation	evaluation	NOUN
cana-1116	296	5	of	of	ADP
cana-1116	296	6	sveicr	sveicr	PRON
cana-1116	296	7	model	model	NOUN
cana-1116	296	8	we	we	PRON
cana-1116	296	9	used	use	VERB
cana-1116	296	10	,	,	PUNCT
cana-1116	296	11	some	some	DET
cana-1116	296	12	random	random	ADJ
cana-1116	296	13	variables	variable	NOUN
cana-1116	296	14	and	and	CCONJ
cana-1116	296	15	parameters	parameter	NOUN
cana-1116	296	16	are	be	AUX
cana-1116	296	17	measured	measure	VERB
cana-1116	296	18	and	and	CCONJ
cana-1116	296	19	to	to	PART
cana-1116	296	20	find	find	VERB
cana-1116	296	21	out	out	ADP
cana-1116	296	22	the	the	DET
cana-1116	296	23	total	total	ADJ
cana-1116	296	24	population	population	NOUN
cana-1116	296	25	of	of	ADP
cana-1116	296	26	infected	infected	ADJ
cana-1116	296	27	people	people	NOUN
cana-1116	296	28	in	in	ADP
cana-1116	296	29	the	the	DET
cana-1116	296	30	tb	tb	NOUN
cana-1116	296	31	region	region	NOUN
cana-1116	296	32	.	.	PUNCT
cana-1116	297	1	λ	λ	X
cana-1116	297	2	=	=	NOUN
cana-1116	297	3	27.2	27.2	NUM
cana-1116	297	4	;	;	PUNCT
cana-1116	297	5	𝛾	𝛾	ADP
cana-1116	297	6	=	=	SYM
cana-1116	297	7	0.3	0.3	NUM
cana-1116	297	8	;	;	PUNCT
cana-1116	297	9	𝜃	𝜃	PUNCT
cana-1116	297	10	=	=	SYM
cana-1116	297	11	0.4	0.4	NUM
cana-1116	297	12	;	;	PUNCT
cana-1116	297	13	𝜇	𝜇	X
cana-1116	297	14	=	=	NOUN
cana-1116	297	15	0.2	0.2	NUM
cana-1116	297	16	;	;	PUNCT
cana-1116	297	17	𝜉	𝜉	X
cana-1116	297	18	=	=	NOUN
cana-1116	297	19	0.3	0.3	NUM
cana-1116	297	20	;	;	PUNCT
cana-1116	297	21	𝛽𝑝	𝛽𝑝	ADP
cana-1116	297	22	=	=	NOUN
cana-1116	297	23	0.5	0.5	NUM
cana-1116	297	24	;	;	PUNCT
cana-1116	297	25	𝛽𝑞	𝛽𝑞	PROPN
cana-1116	297	26	=	=	NOUN
cana-1116	297	27	0.6	0.6	NUM
cana-1116	297	28	;	;	PUNCT
cana-1116	297	29	𝛽𝑢	𝛽𝑢	ADP
cana-1116	297	30	=	=	NOUN
cana-1116	297	31	0.54	0.54	NUM
cana-1116	297	32	;	;	PUNCT
cana-1116	297	33	𝜎𝛽	𝜎𝛽	PRON
cana-1116	298	1	=	=	NUM
cana-1116	298	2	0.2	0.2	NUM
cana-1116	298	3	;	;	PUNCT
cana-1116	298	4	𝜏	𝜏	NOUN
cana-1116	298	5	=	=	NOUN
cana-1116	298	6	0.3	0.3	NUM
cana-1116	298	7	;	;	PUNCT
cana-1116	298	8	𝜋	𝜋	NOUN
cana-1116	298	9	=	=	NOUN
cana-1116	298	10	0.7	0.7	NUM
cana-1116	298	11	.	.	PUNCT
cana-1116	298	12	communications	communication	NOUN
cana-1116	298	13	on	on	ADP
cana-1116	298	14	applied	apply	VERB
cana-1116	298	15	nonlinear	nonlinear	ADJ
cana-1116	298	16	analysis	analysis	NOUN
cana-1116	298	17	issn	issn	NOUN
cana-1116	298	18	:	:	PUNCT
cana-1116	298	19	1074	1074	NUM
cana-1116	298	20	-	-	PUNCT
cana-1116	298	21	133x	133x	NUM
cana-1116	298	22	vol	vol	NOUN
cana-1116	298	23	31	31	NUM
cana-1116	298	24	no	no	NOUN
cana-1116	298	25	.	.	PUNCT
cana-1116	299	1	6s	6s	NUM
cana-1116	299	2	(	(	PUNCT
cana-1116	299	3	2024	2024	NUM
cana-1116	299	4	)	)	PUNCT
cana-1116	299	5	29	29	NUM
cana-1116	300	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	300	2	fig.2	fig.2	VERB
cana-1116	300	3	stability	stability	NOUN
cana-1116	300	4	analysis	analysis	NOUN
cana-1116	300	5	of	of	ADP
cana-1116	300	6	total	total	NOUN
cana-1116	300	7	tb	tb	ADP
cana-1116	300	8	population	population	NOUN
cana-1116	300	9	λ	λ	NOUN
cana-1116	300	10	=	=	NOUN
cana-1116	300	11	27.2	27.2	NUM
cana-1116	300	12	.	.	PUNCT
cana-1116	301	1	fig.3	fig.3	ADJ
cana-1116	301	2	stability	stability	NOUN
cana-1116	301	3	analysis	analysis	NOUN
cana-1116	301	4	of	of	ADP
cana-1116	301	5	total	total	NOUN
cana-1116	301	6	tb	tb	ADP
cana-1116	301	7	population	population	NOUN
cana-1116	301	8	λ	λ	NOUN
cana-1116	301	9	=	=	NOUN
cana-1116	301	10	3.62	3.62	NUM
cana-1116	301	11	.	.	PUNCT
cana-1116	302	1	in	in	ADP
cana-1116	302	2	fig.3	fig.3	PROPN
cana-1116	302	3	we	we	PRON
cana-1116	302	4	used	use	VERB
cana-1116	302	5	some	some	DET
cana-1116	302	6	random	random	ADJ
cana-1116	302	7	data	datum	NOUN
cana-1116	302	8	to	to	PART
cana-1116	302	9	find	find	VERB
cana-1116	302	10	out	out	ADP
cana-1116	302	11	the	the	DET
cana-1116	302	12	total	total	ADJ
cana-1116	302	13	population	population	NOUN
cana-1116	302	14	of	of	ADP
cana-1116	302	15	infected	infected	ADJ
cana-1116	302	16	people	people	NOUN
cana-1116	302	17	in	in	ADP
cana-1116	302	18	tb	tb	PROPN
cana-1116	302	19	.	.	PUNCT
cana-1116	303	1	all	all	DET
cana-1116	303	2	the	the	DET
cana-1116	303	3	stages	stage	NOUN
cana-1116	303	4	of	of	ADP
cana-1116	303	5	the	the	DET
cana-1116	303	6	people	people	NOUN
cana-1116	303	7	are	be	AUX
cana-1116	303	8	controlled	control	VERB
cana-1116	303	9	and	and	CCONJ
cana-1116	303	10	stable	stable	ADJ
cana-1116	303	11	.	.	PUNCT
cana-1116	304	1	λ	λ	X
cana-1116	305	1	=	=	NOUN
cana-1116	305	2	3.62	3.62	NUM
cana-1116	305	3	;	;	PUNCT
cana-1116	305	4	𝛾	𝛾	NOUN
cana-1116	305	5	=	=	NOUN
cana-1116	305	6	0.3	0.3	NUM
cana-1116	305	7	;	;	PUNCT
cana-1116	305	8	𝜃	𝜃	PUNCT
cana-1116	305	9	=	=	SYM
cana-1116	305	10	0.4	0.4	NUM
cana-1116	305	11	;	;	PUNCT
cana-1116	305	12	𝜇	𝜇	X
cana-1116	305	13	=	=	NOUN
cana-1116	305	14	0.2	0.2	NUM
cana-1116	305	15	;	;	PUNCT
cana-1116	305	16	𝜉	𝜉	NOUN
cana-1116	305	17	=	=	NOUN
cana-1116	305	18	0.3	0.3	NUM
cana-1116	305	19	𝛽𝑝	𝛽𝑝	NOUN
cana-1116	305	20	=	=	NOUN
cana-1116	305	21	0.5	0.5	NUM
cana-1116	305	22	;	;	PUNCT
cana-1116	305	23	𝛽𝑞	𝛽𝑞	PROPN
cana-1116	305	24	=	=	NOUN
cana-1116	305	25	0.6	0.6	NUM
cana-1116	305	26	;	;	PUNCT
cana-1116	305	27	𝛽𝑢	𝛽𝑢	ADP
cana-1116	305	28	=	=	NOUN
cana-1116	305	29	0.54	0.54	NUM
cana-1116	305	30	;	;	PUNCT
cana-1116	305	31	𝜎𝛽	𝜎𝛽	PRON
cana-1116	305	32	=	=	NUM
cana-1116	305	33	0.2	0.2	NUM
cana-1116	305	34	;	;	PUNCT
cana-1116	305	35	𝜏	𝜏	NOUN
cana-1116	305	36	=	=	NOUN
cana-1116	305	37	0.3	0.3	NUM
cana-1116	305	38	;	;	PUNCT
cana-1116	305	39	𝜋	𝜋	NOUN
cana-1116	305	40	=	=	NOUN
cana-1116	305	41	0.7	0.7	NUM
cana-1116	305	42	.	.	PUNCT
cana-1116	306	1	fig.4	fig.4	ADJ
cana-1116	306	2	stability	stability	NOUN
cana-1116	306	3	analysis	analysis	NOUN
cana-1116	306	4	of	of	ADP
cana-1116	306	5	tb	tb	ADP
cana-1116	306	6	population	population	NOUN
cana-1116	306	7	λ	λ	PROPN
cana-1116	306	8	=	=	NOUN
cana-1116	306	9	4051.5419	4051.5419	PROPN
cana-1116	306	10	.	.	PUNCT
cana-1116	307	1	in	in	ADP
cana-1116	307	2	fig.4	fig.4	PROPN
cana-1116	307	3	we	we	PRON
cana-1116	307	4	used	use	VERB
cana-1116	307	5	some	some	DET
cana-1116	307	6	random	random	ADJ
cana-1116	307	7	data	datum	NOUN
cana-1116	307	8	to	to	PART
cana-1116	307	9	find	find	VERB
cana-1116	307	10	out	out	ADP
cana-1116	307	11	the	the	DET
cana-1116	307	12	infection	infection	NOUN
cana-1116	307	13	of	of	ADP
cana-1116	307	14	tb	tb	ADP
cana-1116	307	15	peoples	people	NOUN
cana-1116	307	16	and	and	CCONJ
cana-1116	307	17	short	short	ADJ
cana-1116	307	18	out	out	ADP
cana-1116	307	19	infected	infected	ADJ
cana-1116	307	20	region	region	NOUN
cana-1116	307	21	,	,	PUNCT
cana-1116	307	22	all	all	DET
cana-1116	307	23	the	the	DET
cana-1116	307	24	four	four	NUM
cana-1116	307	25	stages	stage	NOUN
cana-1116	307	26	are	be	AUX
cana-1116	307	27	controlled	control	VERB
cana-1116	307	28	and	and	CCONJ
cana-1116	307	29	stable	stable	ADJ
cana-1116	307	30	.	.	PUNCT
cana-1116	308	1	λ	λ	X
cana-1116	308	2	=	=	SYM
cana-1116	308	3	4051.5419	4051.5419	X
cana-1116	308	4	;	;	PUNCT
cana-1116	308	5	𝛾	𝛾	ADP
cana-1116	308	6	=	=	SYM
cana-1116	308	7	0.3	0.3	NUM
cana-1116	308	8	;	;	PUNCT
cana-1116	308	9	𝜃	𝜃	PUNCT
cana-1116	308	10	=	=	SYM
cana-1116	308	11	0.4	0.4	NUM
cana-1116	308	12	;	;	PUNCT
cana-1116	308	13	𝜇	𝜇	X
cana-1116	308	14	=	=	NOUN
cana-1116	308	15	0.2	0.2	NUM
cana-1116	308	16	;	;	PUNCT
cana-1116	308	17	𝜉=0.3	𝜉=0.3	NOUN
cana-1116	308	18	;	;	PUNCT
cana-1116	308	19	𝛽𝑝	𝛽𝑝	ADP
cana-1116	308	20	=	=	NUM
cana-1116	308	21	0.5	0.5	NUM
cana-1116	308	22	;	;	PUNCT
cana-1116	308	23	𝛽𝑞	𝛽𝑞	PROPN
cana-1116	308	24	=	=	NOUN
cana-1116	308	25	0.6	0.6	NUM
cana-1116	308	26	;	;	PUNCT
cana-1116	308	27	𝛽𝑢	𝛽𝑢	ADP
cana-1116	308	28	=	=	NOUN
cana-1116	308	29	0.54	0.54	NUM
cana-1116	308	30	;	;	PUNCT
cana-1116	308	31	𝜎𝛽	𝜎𝛽	PRON
cana-1116	309	1	=	=	NOUN
cana-1116	309	2	0.2	0.2	NUM
cana-1116	309	3	;	;	PUNCT
cana-1116	309	4	𝜏	𝜏	NOUN
cana-1116	309	5	=	=	NOUN
cana-1116	309	6	0.3	0.3	NUM
cana-1116	309	7	;	;	PUNCT
cana-1116	309	8	𝜋	𝜋	NOUN
cana-1116	309	9	=	=	NOUN
cana-1116	309	10	0.7	0.7	NUM
cana-1116	309	11	fig.5	fig.5	NOUN
cana-1116	309	12	population	population	NOUN
cana-1116	309	13	trends	trend	NOUN
cana-1116	309	14	unveiled	unveil	VERB
cana-1116	309	15	:	:	PUNCT
cana-1116	309	16	a	a	DET
cana-1116	309	17	time	time	NOUN
cana-1116	309	18	-	-	PUNCT
cana-1116	309	19	based	base	VERB
cana-1116	309	20	analysis	analysis	NOUN
cana-1116	309	21	λ	λ	X
cana-1116	309	22	=	=	NOUN
cana-1116	309	23	27.2	27.2	NUM
cana-1116	309	24	.	.	PUNCT
cana-1116	310	1	communications	communication	NOUN
cana-1116	310	2	on	on	ADP
cana-1116	310	3	applied	apply	VERB
cana-1116	310	4	nonlinear	nonlinear	ADJ
cana-1116	310	5	analysis	analysis	NOUN
cana-1116	310	6	issn	issn	NOUN
cana-1116	310	7	:	:	PUNCT
cana-1116	310	8	1074	1074	NUM
cana-1116	310	9	-	-	PUNCT
cana-1116	310	10	133x	133x	NUM
cana-1116	310	11	vol	vol	NOUN
cana-1116	310	12	31	31	NUM
cana-1116	310	13	no	no	NOUN
cana-1116	310	14	.	.	PUNCT
cana-1116	311	1	6s	6s	NUM
cana-1116	311	2	(	(	PUNCT
cana-1116	311	3	2024	2024	NUM
cana-1116	311	4	)	)	PUNCT
cana-1116	311	5	30	30	NUM
cana-1116	311	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	311	7	in	in	ADP
cana-1116	311	8	fig.5	fig.5	NOUN
cana-1116	311	9	we	we	PRON
cana-1116	311	10	used	use	VERB
cana-1116	311	11	some	some	DET
cana-1116	311	12	random	random	ADJ
cana-1116	311	13	data	datum	NOUN
cana-1116	311	14	to	to	PART
cana-1116	311	15	find	find	VERB
cana-1116	311	16	out	out	ADP
cana-1116	311	17	the	the	DET
cana-1116	311	18	infection	infection	NOUN
cana-1116	311	19	of	of	ADP
cana-1116	311	20	tb	tb	ADP
cana-1116	311	21	peoples	people	NOUN
cana-1116	311	22	and	and	CCONJ
cana-1116	311	23	short	short	ADJ
cana-1116	311	24	out	out	ADP
cana-1116	311	25	infected	infected	ADJ
cana-1116	311	26	region	region	NOUN
cana-1116	311	27	,	,	PUNCT
cana-1116	311	28	we	we	PRON
cana-1116	311	29	compared	compare	VERB
cana-1116	311	30	the	the	DET
cana-1116	311	31	susceptible	susceptible	ADJ
cana-1116	311	32	and	and	CCONJ
cana-1116	311	33	exposed	expose	VERB
cana-1116	311	34	stage	stage	NOUN
cana-1116	311	35	of	of	ADP
cana-1116	311	36	infected	infected	ADJ
cana-1116	311	37	people	people	NOUN
cana-1116	311	38	in	in	ADP
cana-1116	311	39	time	time	NOUN
cana-1116	311	40	-	-	PUNCT
cana-1116	311	41	based	base	VERB
cana-1116	311	42	analysis	analysis	NOUN
cana-1116	311	43	;	;	PUNCT
cana-1116	311	44	both	both	DET
cana-1116	311	45	stages	stage	NOUN
cana-1116	311	46	are	be	AUX
cana-1116	311	47	controlled	control	VERB
cana-1116	311	48	and	and	CCONJ
cana-1116	311	49	stable.λ	stable.λ	VERB
cana-1116	312	1	=	=	NOUN
cana-1116	312	2	27.2	27.2	NUM
cana-1116	312	3	;	;	PUNCT
cana-1116	312	4	𝛾	𝛾	ADP
cana-1116	312	5	=	=	SYM
cana-1116	312	6	0.3	0.3	NUM
cana-1116	312	7	;	;	PUNCT
cana-1116	312	8	𝜃	𝜃	PUNCT
cana-1116	312	9	=	=	SYM
cana-1116	312	10	0.4	0.4	NUM
cana-1116	312	11	;	;	PUNCT
cana-1116	312	12	𝜇	𝜇	X
cana-1116	312	13	=	=	NOUN
cana-1116	312	14	0.2	0.2	NUM
cana-1116	312	15	;	;	PUNCT
cana-1116	312	16	𝜉	𝜉	X
cana-1116	312	17	=	=	NOUN
cana-1116	312	18	0.3	0.3	NUM
cana-1116	312	19	;	;	PUNCT
cana-1116	312	20	𝛽𝑝	𝛽𝑝	ADP
cana-1116	312	21	=	=	NOUN
cana-1116	312	22	0.5	0.5	NUM
cana-1116	312	23	;	;	PUNCT
cana-1116	312	24	𝛽𝑞	𝛽𝑞	PROPN
cana-1116	312	25	=	=	NOUN
cana-1116	312	26	0.6	0.6	NUM
cana-1116	312	27	;	;	PUNCT
cana-1116	312	28	𝛽𝑢	𝛽𝑢	ADP
cana-1116	312	29	=	=	NOUN
cana-1116	312	30	0.54	0.54	NUM
cana-1116	312	31	;	;	PUNCT
cana-1116	312	32	𝜎𝛽	𝜎𝛽	NUM
cana-1116	312	33	=	=	SYM
cana-1116	312	34	0.2	0.2	NUM
cana-1116	312	35	;	;	PUNCT
cana-1116	312	36	𝜏=0.3	𝜏=0.3	ADJ
cana-1116	312	37	;	;	PUNCT
cana-1116	312	38	𝜋	𝜋	NOUN
cana-1116	312	39	=	=	NOUN
cana-1116	312	40	0.7	0.7	NUM
cana-1116	312	41	.	.	PUNCT
cana-1116	313	1	fig.6	fig.6	PROPN
cana-1116	313	2	3d	3d	NUM
cana-1116	313	3	trajectory	trajectory	NOUN
cana-1116	313	4	of	of	ADP
cana-1116	313	5	susceptible	susceptible	ADJ
cana-1116	313	6	and	and	CCONJ
cana-1116	313	7	exposed	expose	VERB
cana-1116	313	8	stage	stage	NOUN
cana-1116	313	9	of	of	ADP
cana-1116	313	10	tb	tb	ADP
cana-1116	313	11	population	population	NOUN
cana-1116	313	12	.	.	PUNCT
cana-1116	314	1	in	in	ADP
cana-1116	314	2	fig.6	fig.6	PROPN
cana-1116	314	3	we	we	PRON
cana-1116	314	4	demonstrate	demonstrate	VERB
cana-1116	314	5	the	the	DET
cana-1116	314	6	simulation	simulation	NOUN
cana-1116	314	7	of	of	ADP
cana-1116	314	8	3d	3d	PROPN
cana-1116	314	9	trajectory	trajectory	NOUN
cana-1116	314	10	in	in	ADP
cana-1116	314	11	dynamic	dynamic	ADJ
cana-1116	314	12	perspectives	perspective	NOUN
cana-1116	314	13	.	.	PUNCT
cana-1116	315	1	we	we	PRON
cana-1116	315	2	used	use	VERB
cana-1116	315	3	random	random	ADJ
cana-1116	315	4	data	datum	NOUN
cana-1116	315	5	to	to	PART
cana-1116	315	6	find	find	VERB
cana-1116	315	7	out	out	ADP
cana-1116	315	8	the	the	DET
cana-1116	315	9	infection	infection	NOUN
cana-1116	315	10	,	,	PUNCT
cana-1116	315	11	the	the	DET
cana-1116	315	12	susceptible	susceptible	ADJ
cana-1116	315	13	and	and	CCONJ
cana-1116	315	14	exposed	expose	VERB
cana-1116	315	15	stage	stage	NOUN
cana-1116	315	16	of	of	ADP
cana-1116	315	17	tb	tb	ADP
cana-1116	315	18	population	population	NOUN
cana-1116	315	19	are	be	AUX
cana-1116	315	20	controlled	control	VERB
cana-1116	315	21	and	and	CCONJ
cana-1116	315	22	stable	stable	ADJ
cana-1116	315	23	.	.	PUNCT
cana-1116	316	1	λ	λ	X
cana-1116	316	2	=	=	NOUN
cana-1116	316	3	27.2	27.2	NUM
cana-1116	316	4	;	;	PUNCT
cana-1116	316	5	𝛾	𝛾	ADP
cana-1116	316	6	=	=	SYM
cana-1116	316	7	0.25	0.25	NUM
cana-1116	316	8	;	;	PUNCT
cana-1116	316	9	𝜃	𝜃	PUNCT
cana-1116	316	10	=	=	NOUN
cana-1116	316	11	0.35	0.35	NUM
cana-1116	316	12	;	;	PUNCT
cana-1116	316	13	𝜇	𝜇	X
cana-1116	316	14	=	=	PROPN
cana-1116	316	15	0.15	0.15	NUM
cana-1116	316	16	;	;	PUNCT
cana-1116	316	17	𝜉	𝜉	X
cana-1116	316	18	=	=	NOUN
cana-1116	316	19	0.25	0.25	NUM
cana-1116	316	20	;	;	PUNCT
cana-1116	316	21	𝛽𝑝	𝛽𝑝	ADP
cana-1116	316	22	=	=	SYM
cana-1116	316	23	0.6	0.6	NUM
cana-1116	316	24	;	;	PUNCT
cana-1116	316	25	𝛽𝑞	𝛽𝑞	PROPN
cana-1116	316	26	=	=	NUM
cana-1116	316	27	0.4	0.4	NUM
cana-1116	316	28	;	;	PUNCT
cana-1116	316	29	𝛽𝑢	𝛽𝑢	ADP
cana-1116	316	30	=	=	NOUN
cana-1116	316	31	0.45	0.45	NUM
cana-1116	316	32	;	;	PUNCT
cana-1116	316	33	𝜎𝛽	𝜎𝛽	NUM
cana-1116	316	34	=	=	SYM
cana-1116	316	35	0.3	0.3	NUM
cana-1116	316	36	;	;	PUNCT
cana-1116	317	1	𝜏	𝜏	NOUN
cana-1116	317	2	=	=	NOUN
cana-1116	317	3	0.25	0.25	NUM
cana-1116	317	4	;	;	PUNCT
cana-1116	317	5	𝜋	𝜋	NOUN
cana-1116	317	6	=	=	NOUN
cana-1116	317	7	0.6	0.6	NUM
cana-1116	317	8	.	.	PUNCT
cana-1116	318	1	fig.7.1	fig.7.1	ADJ
cana-1116	318	2	stacked	stack	VERB
cana-1116	318	3	area	area	NOUN
cana-1116	318	4	plot	plot	NOUN
cana-1116	318	5	of	of	ADP
cana-1116	318	6	tb	tb	NOUN
cana-1116	318	7	model	model	NOUN
cana-1116	318	8	population	population	NOUN
cana-1116	318	9	.	.	PUNCT
cana-1116	319	1	7.2	7.2	NUM
cana-1116	319	2	quiver	quiver	NOUN
cana-1116	319	3	plot	plot	NOUN
cana-1116	319	4	of	of	ADP
cana-1116	319	5	tb	tb	ADP
cana-1116	319	6	model	model	NOUN
cana-1116	319	7	vector	vector	NOUN
cana-1116	319	8	field	field	NOUN
cana-1116	319	9	.	.	PUNCT
cana-1116	320	1	in	in	ADP
cana-1116	320	2	fig.7.1	fig.7.1	PROPN
cana-1116	320	3	we	we	PRON
cana-1116	320	4	examined	examine	VERB
cana-1116	320	5	the	the	DET
cana-1116	320	6	all	all	DET
cana-1116	320	7	the	the	DET
cana-1116	320	8	stages	stage	NOUN
cana-1116	320	9	of	of	ADP
cana-1116	320	10	tb	tb	ADP
cana-1116	320	11	population	population	NOUN
cana-1116	320	12	in	in	ADP
cana-1116	320	13	incidence	incidence	NOUN
cana-1116	320	14	graph	graph	NOUN
cana-1116	320	15	,	,	PUNCT
cana-1116	320	16	we	we	PRON
cana-1116	320	17	stacked	stack	VERB
cana-1116	320	18	area	area	NOUN
cana-1116	320	19	plot	plot	NOUN
cana-1116	320	20	of	of	ADP
cana-1116	320	21	tb	tb	NOUN
cana-1116	320	22	.	.	PUNCT
cana-1116	321	1	fig.7.2quiver	fig.7.2quiver	ADJ
cana-1116	321	2	plot	plot	NOUN
cana-1116	321	3	of	of	ADP
cana-1116	321	4	tb	tb	ADP
cana-1116	321	5	model	model	NOUN
cana-1116	321	6	vector	vector	NOUN
cana-1116	321	7	field	field	NOUN
cana-1116	321	8	,	,	PUNCT
cana-1116	321	9	the	the	DET
cana-1116	321	10	infected	infect	VERB
cana-1116	321	11	,	,	PUNCT
cana-1116	321	12	exposed	expose	VERB
cana-1116	321	13	and	and	CCONJ
cana-1116	321	14	suscceptible	suscceptible	ADJ
cana-1116	321	15	stages	stage	NOUN
cana-1116	321	16	of	of	ADP
cana-1116	321	17	tb	tb	ADP
cana-1116	321	18	people	people	NOUN
cana-1116	321	19	are	be	AUX
cana-1116	321	20	controlled.in	controlled.in	PRON
cana-1116	321	21	both	both	CCONJ
cana-1116	321	22	figuer	figuer	ADJ
cana-1116	321	23	we	we	PRON
cana-1116	321	24	used	use	VERB
cana-1116	321	25	random	random	ADJ
cana-1116	321	26	data	datum	NOUN
cana-1116	321	27	to	to	PART
cana-1116	321	28	find	find	VERB
cana-1116	321	29	out	out	ADP
cana-1116	321	30	the	the	DET
cana-1116	321	31	infection	infection	NOUN
cana-1116	321	32	among	among	ADP
cana-1116	321	33	the	the	DET
cana-1116	321	34	people	people	NOUN
cana-1116	321	35	.	.	PUNCT
cana-1116	322	1	λ	λ	X
cana-1116	323	1	=	=	NOUN
cana-1116	323	2	3.6	3.6	NUM
cana-1116	323	3	;	;	PUNCT
cana-1116	323	4	𝛾	𝛾	ADP
cana-1116	323	5	=	=	NOUN
cana-1116	323	6	0.2	0.2	NUM
cana-1116	323	7	;	;	PUNCT
cana-1116	323	8	𝜃	𝜃	X
cana-1116	323	9	=	=	NOUN
cana-1116	323	10	0.5	0.5	NUM
cana-1116	323	11	;	;	PUNCT
cana-1116	323	12	𝜇	𝜇	X
cana-1116	323	13	=	=	NOUN
cana-1116	323	14	0.3	0.3	NUM
cana-1116	323	15	;	;	PUNCT
cana-1116	323	16	𝜉	𝜉	NOUN
cana-1116	323	17	=	=	NOUN
cana-1116	323	18	0.25	0.25	NUM
cana-1116	323	19	;	;	PUNCT
cana-1116	323	20	𝛽𝑝	𝛽𝑝	NOUN
cana-1116	323	21	=	=	NUM
cana-1116	323	22	0.6	0.6	NUM
cana-1116	323	23	;	;	PUNCT
cana-1116	323	24	𝛽𝑞	𝛽𝑞	PROPN
cana-1116	323	25	=	=	NOUN
cana-1116	323	26	0.7	0.7	NUM
cana-1116	323	27	;	;	PUNCT
cana-1116	323	28	𝛽𝑢	𝛽𝑢	ADP
cana-1116	323	29	=	=	NOUN
cana-1116	323	30	0.6	0.6	NUM
cana-1116	323	31	;	;	PUNCT
cana-1116	323	32	𝜎𝛽	𝜎𝛽	PRON
cana-1116	323	33	=	=	SYM
cana-1116	323	34	0.1	0.1	NUM
cana-1116	323	35	;	;	PUNCT
cana-1116	323	36	𝜏	𝜏	PRON
cana-1116	323	37	=	=	NOUN
cana-1116	323	38	0.4	0.4	NUM
cana-1116	323	39	;	;	PUNCT
cana-1116	323	40	𝜋	𝜋	NOUN
cana-1116	323	41	=	=	NOUN
cana-1116	323	42	0.55	0.55	NUM
cana-1116	323	43	.	.	PUNCT
cana-1116	324	1	communications	communication	NOUN
cana-1116	324	2	on	on	ADP
cana-1116	324	3	applied	apply	VERB
cana-1116	324	4	nonlinear	nonlinear	ADJ
cana-1116	324	5	analysis	analysis	NOUN
cana-1116	324	6	issn	issn	NOUN
cana-1116	324	7	:	:	PUNCT
cana-1116	324	8	1074	1074	NUM
cana-1116	324	9	-	-	PUNCT
cana-1116	324	10	133x	133x	NUM
cana-1116	324	11	vol	vol	NOUN
cana-1116	324	12	31	31	NUM
cana-1116	324	13	no	no	NOUN
cana-1116	324	14	.	.	PUNCT
cana-1116	325	1	6s	6s	NUM
cana-1116	325	2	(	(	PUNCT
cana-1116	325	3	2024	2024	NUM
cana-1116	325	4	)	)	PUNCT
cana-1116	325	5	31	31	NUM
cana-1116	325	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	325	7	fig.8	fig.8	PROPN
cana-1116	325	8	population	population	NOUN
cana-1116	325	9	of	of	ADP
cana-1116	325	10	dynamics	dynamic	NOUN
cana-1116	325	11	of	of	ADP
cana-1116	325	12	tb	tb	ADP
cana-1116	325	13	model	model	NOUN
cana-1116	325	14	.	.	PUNCT
cana-1116	326	1	in	in	ADP
cana-1116	326	2	fig.8.illustrates	fig.8.illustrate	NOUN
cana-1116	326	3	the	the	DET
cana-1116	326	4	effects	effect	NOUN
cana-1116	326	5	of	of	ADP
cana-1116	326	6	different	different	ADJ
cana-1116	326	7	reduction	reduction	NOUN
cana-1116	326	8	in	in	ADP
cana-1116	326	9	susceptibility	susceptibility	NOUN
cana-1116	326	10	to	to	ADP
cana-1116	326	11	the	the	DET
cana-1116	326	12	disease	disease	NOUN
cana-1116	326	13	by	by	ADP
cana-1116	326	14	vaccinated	vaccinated	ADJ
cana-1116	326	15	,	,	PUNCT
cana-1116	326	16	infected	infect	VERB
cana-1116	326	17	,	,	PUNCT
cana-1116	326	18	as	as	ADV
cana-1116	326	19	well	well	ADV
cana-1116	326	20	as	as	ADP
cana-1116	326	21	exposed	expose	VERB
cana-1116	326	22	individuals	individual	NOUN
cana-1116	326	23	at	at	ADP
cana-1116	326	24	the	the	DET
cana-1116	326	25	population	population	NOUN
cana-1116	326	26	dynamics	dynamic	NOUN
cana-1116	326	27	of	of	ADP
cana-1116	326	28	tb	tb	ADP
cana-1116	326	29	patients	patient	NOUN
cana-1116	326	30	that	that	PRON
cana-1116	326	31	are	be	AUX
cana-1116	326	32	stable	stable	ADJ
cana-1116	326	33	and	and	CCONJ
cana-1116	326	34	controlled	control	VERB
cana-1116	326	35	through	through	ADP
cana-1116	326	36	the	the	DET
cana-1116	326	37	use	use	NOUN
cana-1116	326	38	of	of	ADP
cana-1116	326	39	data	datum	NOUN
cana-1116	326	40	collected	collect	VERB
cana-1116	326	41	at	at	ADP
cana-1116	326	42	random	random	ADJ
cana-1116	326	43	.	.	PUNCT
cana-1116	327	1	λ	λ	X
cana-1116	328	1	=	=	NOUN
cana-1116	328	2	27.2	27.2	NUM
cana-1116	328	3	;	;	PUNCT
cana-1116	328	4	𝛾	𝛾	ADP
cana-1116	328	5	=	=	SYM
cana-1116	328	6	0.3	0.3	NUM
cana-1116	328	7	;	;	PUNCT
cana-1116	328	8	𝜃	𝜃	PUNCT
cana-1116	328	9	=	=	SYM
cana-1116	328	10	0.4	0.4	NUM
cana-1116	328	11	;	;	PUNCT
cana-1116	328	12	𝜇	𝜇	X
cana-1116	328	13	=	=	NOUN
cana-1116	328	14	0.2	0.2	NUM
cana-1116	328	15	;	;	PUNCT
cana-1116	328	16	𝜉	𝜉	X
cana-1116	328	17	=	=	NOUN
cana-1116	328	18	0.3	0.3	NUM
cana-1116	328	19	;	;	PUNCT
cana-1116	328	20	𝛽𝑝	𝛽𝑝	ADP
cana-1116	328	21	=	=	NOUN
cana-1116	328	22	0.5	0.5	NUM
cana-1116	328	23	;	;	PUNCT
cana-1116	328	24	𝛽𝑞	𝛽𝑞	PROPN
cana-1116	328	25	=	=	NOUN
cana-1116	328	26	0.6	0.6	NUM
cana-1116	328	27	;	;	PUNCT
cana-1116	328	28	𝛽𝑢	𝛽𝑢	ADP
cana-1116	328	29	=	=	NOUN
cana-1116	328	30	0.54	0.54	NUM
cana-1116	328	31	;	;	PUNCT
cana-1116	328	32	𝜎𝛽	𝜎𝛽	PRON
cana-1116	328	33	=	=	NUM
cana-1116	328	34	0.2	0.2	NUM
cana-1116	328	35	;	;	PUNCT
cana-1116	328	36	𝜏	𝜏	NOUN
cana-1116	328	37	=	=	NOUN
cana-1116	328	38	0.3	0.3	NUM
cana-1116	328	39	;	;	PUNCT
cana-1116	328	40	𝜋	𝜋	NOUN
cana-1116	328	41	=	=	NOUN
cana-1116	328	42	0.7	0.7	NUM
cana-1116	328	43	.	.	PUNCT
cana-1116	329	1	fig.9	fig.9	PROPN
cana-1116	329	2	visualising	visualise	VERB
cana-1116	329	3	the	the	DET
cana-1116	329	4	dynamics	dynamic	NOUN
cana-1116	329	5	:	:	PUNCT
cana-1116	329	6	differential	differential	ADJ
cana-1116	329	7	equation	equation	NOUN
cana-1116	329	8	solution	solution	NOUN
cana-1116	329	9	.	.	PUNCT
cana-1116	330	1	in	in	ADP
cana-1116	330	2	fig.9.we	fig.9.we	PRON
cana-1116	330	3	show	show	VERB
cana-1116	330	4	that	that	SCONJ
cana-1116	330	5	the	the	DET
cana-1116	330	6	predominant	predominant	ADJ
cana-1116	330	7	equilibrium	equilibrium	NOUN
cana-1116	330	8	point	point	NOUN
cana-1116	330	9	is	be	AUX
cana-1116	330	10	asymptotically	asymptotically	ADV
cana-1116	330	11	stable	stable	ADJ
cana-1116	330	12	locally	locally	ADV
cana-1116	330	13	with	with	ADP
cana-1116	330	14	respect	respect	NOUN
cana-1116	330	15	to	to	ADP
cana-1116	330	16	global	global	ADJ
cana-1116	330	17	stability	stability	NOUN
cana-1116	330	18	.	.	PUNCT
cana-1116	331	1	as	as	SCONJ
cana-1116	331	2	can	can	AUX
cana-1116	331	3	be	be	AUX
cana-1116	331	4	observed	observe	VERB
cana-1116	331	5	from	from	ADP
cana-1116	331	6	the	the	DET
cana-1116	331	7	diagram	diagram	NOUN
cana-1116	331	8	,	,	PUNCT
cana-1116	331	9	we	we	PRON
cana-1116	331	10	deployed	deploy	VERB
cana-1116	331	11	an	an	DET
cana-1116	331	12	analytical	analytical	ADJ
cana-1116	331	13	loop	loop	NOUN
cana-1116	331	14	to	to	PART
cana-1116	331	15	control	control	VERB
cana-1116	331	16	the	the	DET
cana-1116	331	17	infection	infection	NOUN
cana-1116	331	18	in	in	ADP
cana-1116	331	19	the	the	DET
cana-1116	331	20	tuberculosis	tuberculosis	NOUN
cana-1116	331	21	population	population	NOUN
cana-1116	331	22	by	by	ADP
cana-1116	331	23	analysing	analyse	VERB
cana-1116	331	24	the	the	DET
cana-1116	331	25	trajectory	trajectory	NOUN
cana-1116	331	26	of	of	ADP
cana-1116	331	27	the	the	DET
cana-1116	331	28	solutions	solution	NOUN
cana-1116	331	29	of	of	ADP
cana-1116	331	30	the	the	DET
cana-1116	331	31	system	system	NOUN
cana-1116	331	32	model	model	NOUN
cana-1116	331	33	(	(	PUNCT
cana-1116	331	34	1).λ	1).λ	NUM
cana-1116	331	35	=	=	NUM
cana-1116	331	36	27.2	27.2	NUM
cana-1116	331	37	;	;	PUNCT
cana-1116	331	38	𝛾	𝛾	NOUN
cana-1116	331	39	=	=	NOUN
cana-1116	331	40	0.3	0.3	NUM
cana-1116	331	41	;	;	PUNCT
cana-1116	331	42	𝜃	𝜃	PUNCT
cana-1116	332	1	=	=	SYM
cana-1116	332	2	0.4	0.4	NUM
cana-1116	332	3	;	;	PUNCT
cana-1116	332	4	𝜇	𝜇	X
cana-1116	332	5	=	=	NOUN
cana-1116	332	6	0.2	0.2	NUM
cana-1116	332	7	;	;	PUNCT
cana-1116	332	8	𝜉	𝜉	X
cana-1116	332	9	=	=	NOUN
cana-1116	332	10	0.3	0.3	NUM
cana-1116	332	11	;	;	PUNCT
cana-1116	332	12	𝛽𝑝	𝛽𝑝	ADP
cana-1116	332	13	=	=	NUM
cana-1116	332	14	0.5	0.5	NUM
cana-1116	332	15	;	;	PUNCT
cana-1116	332	16	𝛽𝑞	𝛽𝑞	PROPN
cana-1116	332	17	=	=	NOUN
cana-1116	332	18	0.6	0.6	NUM
cana-1116	332	19	;	;	PUNCT
cana-1116	332	20	𝛽𝑢	𝛽𝑢	ADP
cana-1116	332	21	=	=	NOUN
cana-1116	332	22	0.54	0.54	NUM
cana-1116	332	23	;	;	PUNCT
cana-1116	332	24	𝜎𝛽	𝜎𝛽	PRON
cana-1116	332	25	=	=	SYM
cana-1116	332	26	0	0	NUM
cana-1116	332	27	..	..	SYM
cana-1116	332	28	2	2	NUM
cana-1116	332	29	;	;	PUNCT
cana-1116	332	30	𝜏	𝜏	NOUN
cana-1116	332	31	=	=	NOUN
cana-1116	332	32	0.3	0.3	NUM
cana-1116	332	33	;	;	PUNCT
cana-1116	332	34	𝜋	𝜋	NOUN
cana-1116	333	1	=	=	NOUN
cana-1116	333	2	0.7	0.7	NUM
cana-1116	333	3	.	.	PUNCT
cana-1116	334	1	fig.10	fig.10	PRON
cana-1116	334	2	tb	tb	ADP
cana-1116	334	3	variation	variation	NOUN
cana-1116	334	4	over	over	ADP
cana-1116	334	5	time	time	NOUN
cana-1116	334	6	in	in	ADP
cana-1116	334	7	all	all	DET
cana-1116	334	8	stages	stage	NOUN
cana-1116	334	9	.	.	PUNCT
cana-1116	335	1	communications	communication	NOUN
cana-1116	335	2	on	on	ADP
cana-1116	335	3	applied	apply	VERB
cana-1116	335	4	nonlinear	nonlinear	ADJ
cana-1116	335	5	analysis	analysis	NOUN
cana-1116	335	6	issn	issn	NOUN
cana-1116	335	7	:	:	PUNCT
cana-1116	335	8	1074	1074	NUM
cana-1116	335	9	-	-	PUNCT
cana-1116	335	10	133x	133x	NUM
cana-1116	335	11	vol	vol	NOUN
cana-1116	335	12	31	31	NUM
cana-1116	335	13	no	no	NOUN
cana-1116	335	14	.	.	PUNCT
cana-1116	336	1	6s	6s	NUM
cana-1116	336	2	(	(	PUNCT
cana-1116	336	3	2024	2024	NUM
cana-1116	336	4	)	)	PUNCT
cana-1116	336	5	32	32	NUM
cana-1116	336	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	336	7	in	in	ADP
cana-1116	336	8	fig.10	fig.10	PRON
cana-1116	336	9	we	we	PRON
cana-1116	336	10	used	use	VERB
cana-1116	336	11	random	random	ADJ
cana-1116	336	12	data	datum	NOUN
cana-1116	336	13	to	to	PART
cana-1116	336	14	find	find	VERB
cana-1116	336	15	out	out	ADP
cana-1116	336	16	the	the	DET
cana-1116	336	17	infection	infection	NOUN
cana-1116	336	18	of	of	ADP
cana-1116	336	19	tb	tb	NOUN
cana-1116	336	20	in	in	ADP
cana-1116	336	21	the	the	DET
cana-1116	336	22	infected	infected	ADJ
cana-1116	336	23	region	region	NOUN
cana-1116	336	24	of	of	ADP
cana-1116	336	25	people.in	people.in	X
cana-1116	336	26	this	this	DET
cana-1116	336	27	figure	figure	NOUN
cana-1116	336	28	each	each	DET
cana-1116	336	29	stage	stage	NOUN
cana-1116	336	30	of	of	ADP
cana-1116	336	31	tb	tb	NOUN
cana-1116	336	32	is	be	AUX
cana-1116	336	33	varies	vary	VERB
cana-1116	336	34	from	from	ADP
cana-1116	336	35	one	one	NUM
cana-1116	336	36	stage	stage	NOUN
cana-1116	336	37	to	to	ADP
cana-1116	336	38	another	another	DET
cana-1116	336	39	stage	stage	NOUN
cana-1116	336	40	,	,	PUNCT
cana-1116	336	41	all	all	DET
cana-1116	336	42	the	the	DET
cana-1116	336	43	stages	stage	NOUN
cana-1116	336	44	are	be	AUX
cana-1116	336	45	controlled	control	VERB
cana-1116	336	46	and	and	CCONJ
cana-1116	336	47	stable	stable	ADJ
cana-1116	336	48	.	.	PUNCT
cana-1116	337	1	λ	λ	X
cana-1116	338	1	=	=	NOUN
cana-1116	338	2	1.32	1.32	NUM
cana-1116	338	3	;	;	PUNCT
cana-1116	338	4	𝛾	𝛾	ADP
cana-1116	338	5	=	=	NOUN
cana-1116	338	6	0.3	0.3	NUM
cana-1116	338	7	;	;	PUNCT
cana-1116	338	8	𝜃	𝜃	PUNCT
cana-1116	339	1	=	=	SYM
cana-1116	339	2	0.4	0.4	NUM
cana-1116	339	3	;	;	PUNCT
cana-1116	339	4	𝜇	𝜇	X
cana-1116	339	5	=	=	PROPN
cana-1116	339	6	0.2	0.2	NUM
cana-1116	339	7	;	;	PUNCT
cana-1116	339	8	𝜉	𝜉	X
cana-1116	339	9	=	=	NOUN
cana-1116	339	10	0.3	0.3	NUM
cana-1116	339	11	;	;	PUNCT
cana-1116	339	12	𝛽𝑝	𝛽𝑝	ADP
cana-1116	339	13	=	=	NUM
cana-1116	339	14	0.5	0.5	NUM
cana-1116	339	15	;	;	PUNCT
cana-1116	339	16	𝛽𝑞	𝛽𝑞	PROPN
cana-1116	339	17	=	=	NOUN
cana-1116	339	18	0.6	0.6	NUM
cana-1116	339	19	;	;	PUNCT
cana-1116	339	20	𝛽𝑢	𝛽𝑢	ADP
cana-1116	339	21	=	=	NOUN
cana-1116	339	22	0.54	0.54	NUM
cana-1116	339	23	;	;	PUNCT
cana-1116	339	24	𝜎𝛽	𝜎𝛽	PRON
cana-1116	339	25	=	=	NUM
cana-1116	339	26	0.2	0.2	NUM
cana-1116	339	27	;	;	PUNCT
cana-1116	339	28	𝜏	𝜏	NOUN
cana-1116	339	29	=	=	NOUN
cana-1116	339	30	0.3	0.3	NUM
cana-1116	339	31	;	;	PUNCT
cana-1116	339	32	𝜋	𝜋	NOUN
cana-1116	339	33	=	=	NOUN
cana-1116	339	34	0.7	0.7	NUM
cana-1116	339	35	.	.	PUNCT
cana-1116	340	1	fig.11.the	fig.11.the	DET
cana-1116	340	2	stability	stability	NOUN
cana-1116	340	3	of	of	ADP
cana-1116	340	4	the	the	DET
cana-1116	340	5	rate	rate	NOUN
cana-1116	340	6	of	of	ADP
cana-1116	340	7	population	population	NOUN
cana-1116	340	8	dynamic	dynamic	ADJ
cana-1116	340	9	over	over	ADP
cana-1116	340	10	time	time	NOUN
cana-1116	340	11	λ	λ	X
cana-1116	340	12	=	=	NOUN
cana-1116	340	13	1.34	1.34	NUM
cana-1116	340	14	.	.	PUNCT
cana-1116	341	1	in	in	ADP
cana-1116	341	2	fig.11	fig.11	PROPN
cana-1116	341	3	.	.	PUNCT
cana-1116	342	1	the	the	DET
cana-1116	342	2	structure	structure	NOUN
cana-1116	342	3	of	of	ADP
cana-1116	342	4	the	the	DET
cana-1116	342	5	model	model	NOUN
cana-1116	342	6	(	(	PUNCT
cana-1116	342	7	1	1	NUM
cana-1116	342	8	)	)	PUNCT
cana-1116	342	9	variation	variation	NOUN
cana-1116	342	10	as	as	ADP
cana-1116	342	11	a	a	DET
cana-1116	342	12	function	function	NOUN
cana-1116	342	13	of	of	ADP
cana-1116	342	14	time	time	NOUN
cana-1116	342	15	(	(	PUNCT
cana-1116	342	16	years	year	NOUN
cana-1116	342	17	)	)	PUNCT
cana-1116	342	18	is	be	AUX
cana-1116	342	19	displayed	display	VERB
cana-1116	342	20	the	the	DET
cana-1116	342	21	tb	tb	NOUN
cana-1116	342	22	-	-	PUNCT
cana-1116	342	23	free	free	ADJ
cana-1116	342	24	equilibrium	equilibrium	NOUN
cana-1116	342	25	's	's	PART
cana-1116	342	26	neighbourhood	neighbourhood	NOUN
cana-1116	342	27	stability	stability	NOUN
cana-1116	342	28	is	be	AUX
cana-1116	342	29	shown	show	VERB
cana-1116	342	30	in	in	ADP
cana-1116	342	31	this	this	DET
cana-1116	342	32	figure	figure	NOUN
cana-1116	342	33	.	.	PUNCT
cana-1116	343	1	the	the	DET
cana-1116	343	2	figure	figure	NOUN
cana-1116	343	3	demonstrates	demonstrate	VERB
cana-1116	343	4	how	how	SCONJ
cana-1116	343	5	the	the	DET
cana-1116	343	6	progressions	progression	NOUN
cana-1116	343	7	of	of	ADP
cana-1116	343	8	the	the	DET
cana-1116	343	9	system	system	NOUN
cana-1116	343	10	model	model	NOUN
cana-1116	343	11	(	(	PUNCT
cana-1116	343	12	1	1	NUM
cana-1116	343	13	)	)	PUNCT
cana-1116	343	14	's	's	PART
cana-1116	343	15	solution	solution	NOUN
cana-1116	343	16	approximate	approximate	VERB
cana-1116	343	17	to	to	ADP
cana-1116	343	18	the	the	DET
cana-1116	343	19	point	point	NOUN
cana-1116	343	20	of	of	ADP
cana-1116	343	21	equilibrium	equilibrium	NOUN
cana-1116	343	22	that	that	PRON
cana-1116	343	23	is	be	AUX
cana-1116	343	24	free	free	ADJ
cana-1116	343	25	of	of	ADP
cana-1116	343	26	disease	disease	NOUN
cana-1116	343	27	.	.	PUNCT
cana-1116	344	1	in	in	ADP
cana-1116	344	2	accordance	accordance	NOUN
cana-1116	344	3	with	with	ADP
cana-1116	344	4	this	this	DET
cana-1116	344	5	figure	figure	NOUN
cana-1116	344	6	,	,	PUNCT
cana-1116	344	7	it	it	PRON
cana-1116	344	8	can	can	AUX
cana-1116	344	9	be	be	AUX
cana-1116	344	10	demonstrated	demonstrate	VERB
cana-1116	344	11	that	that	SCONJ
cana-1116	344	12	the	the	DET
cana-1116	344	13	disease	disease	NOUN
cana-1116	344	14	-	-	PUNCT
cana-1116	344	15	free	free	ADJ
cana-1116	344	16	state	state	NOUN
cana-1116	344	17	is	be	AUX
cana-1116	344	18	gas	gas	NOUN
cana-1116	344	19	if	if	SCONJ
cana-1116	344	20	𝑅𝑂	𝑅𝑂	PROPN
cana-1116	344	21	<	<	X
cana-1116	344	22	1	1	NUM
cana-1116	344	23	,	,	PUNCT
cana-1116	344	24	as	as	SCONJ
cana-1116	344	25	the	the	DET
cana-1116	344	26	disease	disease	NOUN
cana-1116	344	27	can	can	AUX
cana-1116	344	28	not	not	PART
cana-1116	344	29	propagate	propagate	VERB
cana-1116	344	30	throughout	throughout	ADP
cana-1116	344	31	the	the	DET
cana-1116	344	32	entire	entire	ADJ
cana-1116	344	33	population	population	NOUN
cana-1116	344	34	if	if	SCONJ
cana-1116	344	35	𝑅𝑂	𝑅𝑂	PROPN
cana-1116	344	36	<	<	X
cana-1116	344	37	1	1	NUM
cana-1116	344	38	.	.	PUNCT
cana-1116	345	1	λ	λ	X
cana-1116	346	1	=	=	NOUN
cana-1116	346	2	1.34	1.34	NUM
cana-1116	346	3	;	;	PUNCT
cana-1116	346	4	𝛾	𝛾	ADP
cana-1116	346	5	=	=	SYM
cana-1116	346	6	0.3	0.3	NUM
cana-1116	346	7	;	;	PUNCT
cana-1116	346	8	𝜃	𝜃	PUNCT
cana-1116	347	1	=	=	SYM
cana-1116	347	2	0.4	0.4	NUM
cana-1116	347	3	;	;	PUNCT
cana-1116	347	4	𝜇	𝜇	X
cana-1116	347	5	=	=	PROPN
cana-1116	347	6	0.2	0.2	NUM
cana-1116	347	7	;	;	PUNCT
cana-1116	347	8	𝜉	𝜉	X
cana-1116	347	9	=	=	NOUN
cana-1116	347	10	0.3	0.3	NUM
cana-1116	347	11	;	;	PUNCT
cana-1116	347	12	𝛽𝑝	𝛽𝑝	ADP
cana-1116	347	13	=	=	NOUN
cana-1116	347	14	0.5	0.5	NUM
cana-1116	347	15	;	;	PUNCT
cana-1116	347	16	𝛽𝑞	𝛽𝑞	PROPN
cana-1116	347	17	=	=	NOUN
cana-1116	347	18	0.6	0.6	NUM
cana-1116	347	19	;	;	PUNCT
cana-1116	347	20	𝛽𝑢	𝛽𝑢	ADP
cana-1116	347	21	=	=	NOUN
cana-1116	347	22	0.54	0.54	NUM
cana-1116	347	23	;	;	PUNCT
cana-1116	347	24	𝜎𝛽	𝜎𝛽	PRON
cana-1116	347	25	=	=	NUM
cana-1116	347	26	0.2	0.2	NUM
cana-1116	347	27	;	;	PUNCT
cana-1116	347	28	𝜏	𝜏	NOUN
cana-1116	347	29	=	=	NOUN
cana-1116	347	30	0.3	0.3	NUM
cana-1116	347	31	;	;	PUNCT
cana-1116	347	32	𝜋	𝜋	NOUN
cana-1116	347	33	=	=	NOUN
cana-1116	347	34	0.7	0.7	NUM
cana-1116	347	35	.	.	NOUN
cana-1116	348	1	6	6	NUM
cana-1116	348	2	.	.	X
cana-1116	348	3	conclusion	conclusion	NOUN
cana-1116	348	4	in	in	ADP
cana-1116	348	5	this	this	DET
cana-1116	348	6	work	work	NOUN
cana-1116	348	7	,	,	PUNCT
cana-1116	348	8	we	we	PRON
cana-1116	348	9	generated	generate	VERB
cana-1116	348	10	a	a	DET
cana-1116	348	11	predictable	predictable	ADJ
cana-1116	348	12	computational	computational	ADJ
cana-1116	348	13	model	model	NOUN
cana-1116	348	14	to	to	PART
cana-1116	348	15	acquire	acquire	VERB
cana-1116	348	16	an	an	DET
cana-1116	348	17	elementary	elementary	ADJ
cana-1116	348	18	comprehension	comprehension	NOUN
cana-1116	348	19	of	of	ADP
cana-1116	348	20	the	the	DET
cana-1116	348	21	changing	change	VERB
cana-1116	348	22	behaviour	behaviour	NOUN
cana-1116	348	23	of	of	ADP
cana-1116	348	24	sveicr	sveicr	PROPN
cana-1116	348	25	model	model	PROPN
cana-1116	348	26	,	,	PUNCT
cana-1116	348	27	we	we	PRON
cana-1116	348	28	explored	explore	VERB
cana-1116	348	29	the	the	DET
cana-1116	348	30	impact	impact	NOUN
cana-1116	348	31	of	of	ADP
cana-1116	348	32	limited	limited	ADJ
cana-1116	348	33	vaccination	vaccination	NOUN
cana-1116	348	34	and	and	CCONJ
cana-1116	348	35	other	other	ADJ
cana-1116	348	36	external	external	ADJ
cana-1116	348	37	factors	factor	NOUN
cana-1116	348	38	on	on	ADP
cana-1116	348	39	the	the	DET
cana-1116	348	40	dynamics	dynamic	NOUN
cana-1116	348	41	of	of	ADP
cana-1116	348	42	tuberculosis	tuberculosis	NOUN
cana-1116	348	43	disease	disease	NOUN
cana-1116	348	44	transmission	transmission	NOUN
cana-1116	348	45	.	.	PUNCT
cana-1116	349	1	the	the	DET
cana-1116	349	2	population	population	NOUN
cana-1116	349	3	at	at	ADP
cana-1116	349	4	risk	risk	NOUN
cana-1116	349	5	of	of	ADP
cana-1116	349	6	tuberculosis	tuberculosis	NOUN
cana-1116	349	7	has	have	AUX
cana-1116	349	8	been	be	AUX
cana-1116	349	9	divided	divide	VERB
cana-1116	349	10	into	into	ADP
cana-1116	349	11	six	six	NUM
cana-1116	349	12	distinct	distinct	ADJ
cana-1116	349	13	groups	group	NOUN
cana-1116	349	14	.	.	PUNCT
cana-1116	350	1	we	we	PRON
cana-1116	350	2	determined	determine	VERB
cana-1116	350	3	the	the	DET
cana-1116	350	4	actual	actual	ADJ
cana-1116	350	5	reproduction	reproduction	NOUN
cana-1116	350	6	number	number	NOUN
cana-1116	350	7	𝑅0	𝑅0	NOUN
cana-1116	350	8	.	.	PUNCT
cana-1116	351	1	the	the	DET
cana-1116	351	2	next	next	ADJ
cana-1116	351	3	-	-	PUNCT
cana-1116	351	4	generation	generation	NOUN
cana-1116	351	5	matrix	matrix	NOUN
cana-1116	351	6	approach	approach	NOUN
cana-1116	351	7	was	be	AUX
cana-1116	351	8	utilized	utilize	VERB
cana-1116	351	9	.	.	PUNCT
cana-1116	352	1	in	in	ADP
cana-1116	352	2	instances	instance	NOUN
cana-1116	352	3	where	where	SCONJ
cana-1116	352	4	a	a	DET
cana-1116	352	5	specific	specific	ADJ
cana-1116	352	6	epidemiological	epidemiological	ADJ
cana-1116	352	7	threshold	threshold	NOUN
cana-1116	352	8	quantity	quantity	NOUN
cana-1116	352	9	known	know	VERB
cana-1116	352	10	as	as	ADP
cana-1116	352	11	the	the	DET
cana-1116	352	12	effective	effective	ADJ
cana-1116	352	13	reproduction	reproduction	NOUN
cana-1116	352	14	number	number	NOUN
cana-1116	352	15	𝑅0	𝑅0	NOUN
cana-1116	352	16	<	<	X
cana-1116	352	17	1	1	NUM
cana-1116	352	18	its	its	PRON
cana-1116	352	19	falls	fall	NOUN
cana-1116	352	20	below	below	ADP
cana-1116	352	21	unity	unity	NOUN
cana-1116	352	22	.	.	PUNCT
cana-1116	353	1	tb	tb	ADP
cana-1116	353	2	dynamics	dynamic	NOUN
cana-1116	353	3	were	be	AUX
cana-1116	353	4	represented	represent	VERB
cana-1116	353	5	by	by	ADP
cana-1116	353	6	six	six	NUM
cana-1116	353	7	distinct	distinct	ADJ
cana-1116	353	8	compartments	compartment	NOUN
cana-1116	353	9	that	that	PRON
cana-1116	353	10	possessed	possess	VERB
cana-1116	353	11	a	a	DET
cana-1116	353	12	locally	locally	ADV
cana-1116	353	13	asymptotically	asymptotically	ADV
cana-1116	353	14	secure	secure	ADJ
cana-1116	353	15	disease	disease	NOUN
cana-1116	353	16	-	-	PUNCT
cana-1116	353	17	free	free	ADJ
cana-1116	353	18	equilibrium	equilibrium	NOUN
cana-1116	353	19	.	.	PUNCT
cana-1116	354	1	the	the	DET
cana-1116	354	2	disease	disease	NOUN
cana-1116	354	3	may	may	AUX
cana-1116	354	4	continue	continue	VERB
cana-1116	354	5	to	to	PART
cana-1116	354	6	spread	spread	VERB
cana-1116	354	7	throughout	throughout	ADP
cana-1116	354	8	the	the	DET
cana-1116	354	9	population	population	NOUN
cana-1116	354	10	even	even	ADV
cana-1116	354	11	if	if	SCONJ
cana-1116	354	12	the	the	DET
cana-1116	354	13	𝑅0	𝑅0	NOUN
cana-1116	354	14	<	<	X
cana-1116	354	15	1	1	NUM
cana-1116	354	16	the	the	DET
cana-1116	354	17	basic	basic	ADJ
cana-1116	354	18	epidemiological	epidemiological	ADJ
cana-1116	354	19	requirement	requirement	NOUN
cana-1116	354	20	is	be	AUX
cana-1116	354	21	met	meet	VERB
cana-1116	354	22	;	;	PUNCT
cana-1116	354	23	nevertheless	nevertheless	ADV
cana-1116	354	24	,	,	PUNCT
cana-1116	354	25	appropriate	appropriate	ADJ
cana-1116	354	26	tb	tb	ADP
cana-1116	354	27	spread	spread	ADJ
cana-1116	354	28	control	control	NOUN
cana-1116	354	29	in	in	ADP
cana-1116	354	30	a	a	DET
cana-1116	354	31	population	population	NOUN
cana-1116	354	32	was	be	AUX
cana-1116	354	33	still	still	ADV
cana-1116	354	34	required	require	VERB
cana-1116	354	35	.	.	PUNCT
cana-1116	355	1	the	the	DET
cana-1116	355	2	condition	condition	NOUN
cana-1116	355	3	was	be	AUX
cana-1116	355	4	fully	fully	ADV
cana-1116	355	5	defined	define	VERB
cana-1116	355	6	by	by	ADP
cana-1116	355	7	the	the	DET
cana-1116	355	8	initial	initial	ADJ
cana-1116	355	9	size	size	NOUN
cana-1116	355	10	of	of	ADP
cana-1116	355	11	the	the	DET
cana-1116	355	12	population	population	NOUN
cana-1116	355	13	(	(	PUNCT
cana-1116	355	14	see	see	VERB
cana-1116	355	15	figure	figure	NOUN
cana-1116	355	16	4	4	NUM
cana-1116	355	17	)	)	PUNCT
cana-1116	355	18	.	.	PUNCT
cana-1116	356	1	in	in	ADP
cana-1116	356	2	addition	addition	NOUN
cana-1116	356	3	,	,	PUNCT
cana-1116	356	4	the	the	DET
cana-1116	356	5	contrast	contrast	NOUN
cana-1116	356	6	of	of	ADP
cana-1116	356	7	both	both	CCONJ
cana-1116	356	8	high	high	ADJ
cana-1116	356	9	and	and	CCONJ
cana-1116	356	10	low	low	ADJ
cana-1116	356	11	vaccination	vaccination	NOUN
cana-1116	356	12	of	of	ADP
cana-1116	356	13	population	population	NOUN
cana-1116	356	14	dynamics	dynamic	NOUN
cana-1116	356	15	coverage	coverage	NOUN
cana-1116	356	16	rates	rate	NOUN
cana-1116	356	17	was	be	AUX
cana-1116	356	18	investigated	investigate	VERB
cana-1116	356	19	(	(	PUNCT
cana-1116	356	20	refer	refer	VERB
cana-1116	356	21	to	to	PART
cana-1116	356	22	figure	figure	VERB
cana-1116	356	23	8)	8)	NUM
cana-1116	356	24	.	.	PUNCT
cana-1116	357	1	in	in	ADP
cana-1116	357	2	comparison	comparison	NOUN
cana-1116	357	3	to	to	ADP
cana-1116	357	4	the	the	DET
cana-1116	357	5	high	high	ADJ
cana-1116	357	6	case	case	NOUN
cana-1116	357	7	,	,	PUNCT
cana-1116	357	8	it	it	PRON
cana-1116	357	9	was	be	AUX
cana-1116	357	10	discovered	discover	VERB
cana-1116	357	11	that	that	SCONJ
cana-1116	357	12	the	the	DET
cana-1116	357	13	lower	low	ADJ
cana-1116	357	14	case	case	NOUN
cana-1116	357	15	had	have	VERB
cana-1116	357	16	a	a	DET
cana-1116	357	17	higher	high	ADJ
cana-1116	357	18	endemic	endemic	ADJ
cana-1116	357	19	equilibrium	equilibrium	NOUN
cana-1116	357	20	.	.	PUNCT
cana-1116	358	1	non	non	ADJ
cana-1116	358	2	-	-	ADJ
cana-1116	358	3	negative	negative	ADJ
cana-1116	358	4	(	(	PUNCT
cana-1116	358	5	in	in	ADP
cana-1116	358	6	the	the	DET
cana-1116	358	7	variant	variant	NOUN
cana-1116	358	8	's	's	PART
cana-1116	358	9	region	region	NOUN
cana-1116	358	10	)	)	PUNCT
cana-1116	358	11	and	and	CCONJ
cana-1116	358	12	locally	locally	ADV
cana-1116	358	13	asymptotically	asymptotically	ADV
cana-1116	358	14	stable	stable	ADJ
cana-1116	358	15	conditions	condition	NOUN
cana-1116	358	16	were	be	AUX
cana-1116	358	17	implemented	implement	VERB
cana-1116	358	18	.	.	PUNCT
cana-1116	359	1	the	the	DET
cana-1116	359	2	utilizing	utilize	VERB
cana-1116	359	3	global	global	ADJ
cana-1116	359	4	stability	stability	NOUN
cana-1116	359	5	,	,	PUNCT
cana-1116	359	6	it	it	PRON
cana-1116	359	7	can	can	AUX
cana-1116	359	8	be	be	AUX
cana-1116	359	9	figured	figure	VERB
cana-1116	359	10	out	out	ADP
cana-1116	359	11	that	that	SCONJ
cana-1116	359	12	the	the	DET
cana-1116	359	13	intrinsic	intrinsic	ADJ
cana-1116	359	14	equilibrium	equilibrium	NOUN
cana-1116	359	15	point	point	NOUN
cana-1116	359	16	communications	communication	NOUN
cana-1116	359	17	on	on	ADP
cana-1116	359	18	applied	apply	VERB
cana-1116	359	19	nonlinear	nonlinear	ADJ
cana-1116	359	20	analysis	analysis	NOUN
cana-1116	359	21	issn	issn	NOUN
cana-1116	359	22	:	:	PUNCT
cana-1116	359	23	1074	1074	NUM
cana-1116	359	24	-	-	PUNCT
cana-1116	359	25	133x	133x	NUM
cana-1116	359	26	vol	vol	NOUN
cana-1116	359	27	31	31	NUM
cana-1116	359	28	no	no	NOUN
cana-1116	359	29	.	.	PUNCT
cana-1116	360	1	6s	6s	NUM
cana-1116	360	2	(	(	PUNCT
cana-1116	360	3	2024	2024	NUM
cana-1116	360	4	)	)	PUNCT
cana-1116	360	5	33	33	NUM
cana-1116	360	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	360	7	σ𝑐is	σ𝑐i	NOUN
cana-1116	360	8	asymptotically	asymptotically	ADV
cana-1116	360	9	stable	stable	ADJ
cana-1116	360	10	worldwide	worldwide	ADV
cana-1116	360	11	since	since	SCONJ
cana-1116	360	12	both	both	CCONJ
cana-1116	360	13	the	the	DET
cana-1116	360	14	existence	existence	NOUN
cana-1116	360	15	of	of	ADP
cana-1116	360	16	σ𝑐	σ𝑐	PROPN
cana-1116	360	17	and	and	CCONJ
cana-1116	360	18	𝑑𝐿	𝑑𝐿	NOUN
cana-1116	360	19	𝑑𝑡	𝑑𝑡	ADP
cana-1116	360	20	<	<	X
cana-1116	360	21	0	0	NUM
cana-1116	360	22	suggest	suggest	VERB
cana-1116	360	23	the	the	DET
cana-1116	360	24	equation	equation	NOUN
cana-1116	360	25	is	be	AUX
cana-1116	360	26	rigorously	rigorously	ADV
cana-1116	360	27	lyapunov	lyapunov	ADJ
cana-1116	360	28	.	.	PUNCT
cana-1116	361	1	this	this	DET
cana-1116	361	2	result	result	NOUN
cana-1116	361	3	suggests	suggest	VERB
cana-1116	361	4	that	that	SCONJ
cana-1116	361	5	epidemically	epidemically	ADV
cana-1116	361	6	disseminated	disseminate	VERB
cana-1116	361	7	tuberculosis	tuberculosis	NOUN
cana-1116	361	8	(	(	PUNCT
cana-1116	361	9	tb	tb	NOUN
cana-1116	361	10	)	)	PUNCT
cana-1116	361	11	will	will	AUX
cana-1116	361	12	persist	persist	VERB
cana-1116	361	13	in	in	ADP
cana-1116	361	14	the	the	DET
cana-1116	361	15	population	population	NOUN
cana-1116	361	16	of	of	ADP
cana-1116	361	17	humans	human	NOUN
cana-1116	361	18	for	for	ADP
cana-1116	361	19	a	a	DET
cana-1116	361	20	considerable	considerable	ADJ
cana-1116	361	21	period	period	NOUN
cana-1116	361	22	when	when	SCONJ
cana-1116	361	23	used	use	VERB
cana-1116	361	24	in	in	ADP
cana-1116	361	25	a	a	DET
cana-1116	361	26	non	non	ADJ
cana-1116	361	27	-	-	ADJ
cana-1116	361	28	linear	linear	ADJ
cana-1116	361	29	susceptibility	susceptibility	NOUN
cana-1116	361	30	stage	stage	NOUN
cana-1116	361	31	.	.	PUNCT
cana-1116	362	1	in	in	ADP
cana-1116	362	2	accordance	accordance	NOUN
cana-1116	362	3	with	with	ADP
cana-1116	362	4	the	the	DET
cana-1116	362	5	sveicr	sveicr	PROPN
cana-1116	362	6	simulation	simulation	NOUN
cana-1116	362	7	under	under	ADP
cana-1116	362	8	investigation	investigation	NOUN
cana-1116	362	9	,	,	PUNCT
cana-1116	362	10	the	the	DET
cana-1116	362	11	use	use	NOUN
cana-1116	362	12	of	of	ADP
cana-1116	362	13	an	an	DET
cana-1116	362	14	inadequate	inadequate	ADJ
cana-1116	362	15	vaccine	vaccine	NOUN
cana-1116	362	16	may	may	AUX
cana-1116	362	17	occasionally	occasionally	ADV
cana-1116	362	18	result	result	VERB
cana-1116	362	19	in	in	ADP
cana-1116	362	20	adverse	adverse	ADJ
cana-1116	362	21	consequences	consequence	NOUN
cana-1116	362	22	for	for	ADP
cana-1116	362	23	the	the	DET
cana-1116	362	24	general	general	ADJ
cana-1116	362	25	population	population	NOUN
cana-1116	362	26	.	.	PUNCT
cana-1116	363	1	nevertheless	nevertheless	ADV
cana-1116	363	2	,	,	PUNCT
cana-1116	363	3	it	it	PRON
cana-1116	363	4	has	have	AUX
cana-1116	363	5	been	be	AUX
cana-1116	363	6	determined	determine	VERB
cana-1116	363	7	that	that	SCONJ
cana-1116	363	8	an	an	DET
cana-1116	363	9	inadequate	inadequate	ADJ
cana-1116	363	10	vaccine	vaccine	NOUN
cana-1116	363	11	continues	continue	VERB
cana-1116	363	12	to	to	PART
cana-1116	363	13	reduce	reduce	VERB
cana-1116	363	14	the	the	DET
cana-1116	363	15	burden	burden	NOUN
cana-1116	363	16	of	of	ADP
cana-1116	363	17	disease	disease	NOUN
cana-1116	363	18	and	and	CCONJ
cana-1116	363	19	have	have	VERB
cana-1116	363	20	a	a	DET
cana-1116	363	21	positive	positive	ADJ
cana-1116	363	22	epidemiological	epidemiological	ADJ
cana-1116	363	23	impact	impact	NOUN
cana-1116	363	24	on	on	ADP
cana-1116	363	25	people	people	NOUN
cana-1116	363	26	in	in	ADP
cana-1116	363	27	general	general	ADJ
cana-1116	363	28	,	,	PUNCT
cana-1116	363	29	even	even	ADV
cana-1116	363	30	if	if	SCONJ
cana-1116	363	31	its	its	PRON
cana-1116	363	32	overall	overall	ADJ
cana-1116	363	33	impact	impact	NOUN
cana-1116	363	34	is	be	AUX
cana-1116	363	35	enhanced	enhance	VERB
cana-1116	363	36	by	by	ADP
cana-1116	363	37	increased	increase	VERB
cana-1116	363	38	vaccine	vaccine	NOUN
cana-1116	363	39	efficacy	efficacy	NOUN
cana-1116	363	40	and	and	CCONJ
cana-1116	363	41	protection	protection	NOUN
cana-1116	363	42	rate	rate	NOUN
cana-1116	363	43	.	.	PUNCT
cana-1116	364	1	we	we	PRON
cana-1116	364	2	used	use	VERB
cana-1116	364	3	matlab	matlab	PROPN
cana-1116	364	4	software	software	NOUN
cana-1116	364	5	to	to	PART
cana-1116	364	6	simulate	simulate	VERB
cana-1116	364	7	the	the	DET
cana-1116	364	8	results	result	NOUN
cana-1116	364	9	of	of	ADP
cana-1116	364	10	the	the	DET
cana-1116	364	11	tb	tb	NOUN
cana-1116	364	12	infection	infection	NOUN
cana-1116	364	13	in	in	ADP
cana-1116	364	14	the	the	DET
cana-1116	364	15	people	people	NOUN
cana-1116	364	16	.	.	PUNCT
cana-1116	365	1	institutional	institutional	ADJ
cana-1116	365	2	review	review	PROPN
cana-1116	365	3	board	board	NOUN
cana-1116	365	4	statement	statement	NOUN
cana-1116	365	5	:	:	PUNCT
cana-1116	365	6	not	not	PART
cana-1116	365	7	applicable	applicable	ADJ
cana-1116	365	8	.	.	PUNCT
cana-1116	366	1	informed	informed	ADJ
cana-1116	366	2	consent	consent	NOUN
cana-1116	366	3	statement	statement	NOUN
cana-1116	366	4	:	:	PUNCT
cana-1116	366	5	not	not	PART
cana-1116	366	6	applicable	applicable	ADJ
cana-1116	366	7	.	.	PUNCT
cana-1116	367	1	data	datum	NOUN
cana-1116	367	2	availability	availability	NOUN
cana-1116	367	3	statement	statement	NOUN
cana-1116	367	4	:	:	PUNCT
cana-1116	367	5	the	the	DET
cana-1116	367	6	data	datum	NOUN
cana-1116	367	7	used	use	VERB
cana-1116	367	8	to	to	PART
cana-1116	367	9	support	support	VERB
cana-1116	367	10	the	the	DET
cana-1116	367	11	findings	finding	NOUN
cana-1116	367	12	of	of	ADP
cana-1116	367	13	this	this	DET
cana-1116	367	14	study	study	NOUN
cana-1116	367	15	are	be	AUX
cana-1116	367	16	included	include	VERB
cana-1116	367	17	within	within	ADP
cana-1116	367	18	the	the	DET
cana-1116	367	19	article	article	NOUN
cana-1116	367	20	.	.	PUNCT
cana-1116	368	1	conflicts	conflict	NOUN
cana-1116	368	2	of	of	ADP
cana-1116	368	3	interest	interest	NOUN
cana-1116	368	4	:	:	PUNCT
cana-1116	368	5	the	the	DET
cana-1116	368	6	writers	writer	NOUN
cana-1116	368	7	declare	declare	VERB
cana-1116	368	8	that	that	SCONJ
cana-1116	368	9	no	no	DET
cana-1116	368	10	conflicts	conflict	NOUN
cana-1116	368	11	of	of	ADP
cana-1116	368	12	interest	interest	NOUN
cana-1116	368	13	exist	exist	VERB
cana-1116	368	14	.	.	PUNCT
cana-1116	369	1	reference	reference	NOUN
cana-1116	369	2	[	[	X
cana-1116	369	3	1	1	NUM
cana-1116	369	4	]	]	PUNCT
cana-1116	369	5	nyerere	nyerere	NOUN
cana-1116	369	6	,	,	PUNCT
cana-1116	369	7	n.	n.	PROPN
cana-1116	369	8	modeling	model	VERB
cana-1116	369	9	the	the	DET
cana-1116	369	10	effect	effect	NOUN
cana-1116	369	11	of	of	ADP
cana-1116	369	12	screening	screening	NOUN
cana-1116	369	13	and	and	CCONJ
cana-1116	369	14	treatment	treatment	NOUN
cana-1116	369	15	on	on	ADP
cana-1116	369	16	the	the	DET
cana-1116	369	17	transmission	transmission	NOUN
cana-1116	369	18	of	of	ADP
cana-1116	369	19	tuberculosis	tuberculosis	NOUN
cana-1116	369	20	infections	infection	NOUN
cana-1116	369	21	,	,	PUNCT
cana-1116	369	22	mathematical	mathematical	ADJ
cana-1116	369	23	theory	theory	NOUN
cana-1116	369	24	and	and	CCONJ
cana-1116	369	25	modeling	modeling	NOUN
cana-1116	369	26	.	.	PUNCT
cana-1116	370	1	4	4	NUM
cana-1116	370	2	,	,	PUNCT
cana-1116	370	3	7	7	NUM
cana-1116	370	4	,	,	PUNCT
cana-1116	370	5	2014	2014	NUM
cana-1116	370	6	.	.	PUNCT
cana-1116	371	1	[	[	X
cana-1116	371	2	2	2	NUM
cana-1116	371	3	]	]	X
cana-1116	371	4	richardson	richardson	PROPN
cana-1116	371	5	,	,	PUNCT
cana-1116	371	6	m.	m.	NOUN
cana-1116	371	7	et	et	PROPN
cana-1116	371	8	al	al	PROPN
cana-1116	371	9	multiple	multiple	ADJ
cana-1116	371	10	mycobacterium	mycobacterium	NOUN
cana-1116	371	11	tuberculosis	tuberculosis	NOUN
cana-1116	371	12	strains	strain	NOUN
cana-1116	371	13	in	in	ADP
cana-1116	371	14	early	early	ADJ
cana-1116	371	15	cultures	culture	NOUN
cana-1116	371	16	from	from	ADP
cana-1116	371	17	patients	patient	NOUN
cana-1116	371	18	in	in	ADP
cana-1116	371	19	a	a	DET
cana-1116	371	20	high	high	ADJ
cana-1116	371	21	incidence	incidence	NOUN
cana-1116	371	22	community	community	NOUN
cana-1116	371	23	setting	setting	NOUN
cana-1116	371	24	,	,	PUNCT
cana-1116	371	25	journal	journal	NOUN
cana-1116	371	26	of	of	ADP
cana-1116	371	27	clinical	clinical	ADJ
cana-1116	371	28	microbiology	microbiology	NOUN
cana-1116	371	29	.	.	PUNCT
cana-1116	372	1	40	40	NUM
cana-1116	372	2	,	,	PUNCT
cana-1116	372	3	2750–2754	2750–2754	NUM
cana-1116	372	4	,	,	PUNCT
cana-1116	372	5	2002	2002	NUM
cana-1116	372	6	.	.	PUNCT
cana-1116	373	1	[	[	X
cana-1116	373	2	3	3	NUM
cana-1116	373	3	]	]	SYM
cana-1116	373	4	yang	yang	PROPN
cana-1116	373	5	,	,	PUNCT
cana-1116	373	6	hm	hm	INTJ
cana-1116	373	7	.	.	PUNCT
cana-1116	373	8	raimundo	raimundo	PROPN
cana-1116	373	9	,	,	PUNCT
cana-1116	373	10	sm	sm	X
cana-1116	373	11	.	.	PUNCT
cana-1116	374	1	assessing	assess	VERB
cana-1116	374	2	the	the	DET
cana-1116	374	3	effects	effect	NOUN
cana-1116	374	4	of	of	ADP
cana-1116	374	5	multiple	multiple	ADJ
cana-1116	374	6	infections	infection	NOUN
cana-1116	374	7	and	and	CCONJ
cana-1116	374	8	long	long	ADJ
cana-1116	374	9	latency	latency	NOUN
cana-1116	374	10	in	in	ADP
cana-1116	374	11	the	the	DET
cana-1116	374	12	dynamics	dynamic	NOUN
cana-1116	374	13	of	of	ADP
cana-1116	374	14	tuberculosis	tuberculosis	NOUN
cana-1116	374	15	,	,	PUNCT
cana-1116	374	16	theoretical	theoretical	ADJ
cana-1116	374	17	biology	biology	NOUN
cana-1116	374	18	and	and	CCONJ
cana-1116	374	19	medical	medical	ADJ
cana-1116	374	20	modeling	modeling	NOUN
cana-1116	374	21	.	.	PUNCT
cana-1116	375	1	7	7	NUM
cana-1116	375	2	,	,	PUNCT
cana-1116	375	3	41	41	NUM
cana-1116	375	4	,	,	PUNCT
cana-1116	375	5	2010	2010	NUM
cana-1116	375	6	.	.	PUNCT
cana-1116	376	1	[	[	X
cana-1116	376	2	4	4	NUM
cana-1116	376	3	]	]	X
cana-1116	376	4	behr	behr	NOUN
cana-1116	376	5	,	,	PUNCT
cana-1116	376	6	ma	ma	PROPN
cana-1116	376	7	.	.	PROPN
cana-1116	376	8	tuberculosis	tuberculosis	NOUN
cana-1116	376	9	due	due	ADP
cana-1116	376	10	to	to	ADP
cana-1116	376	11	multiple	multiple	ADJ
cana-1116	376	12	strains	strain	NOUN
cana-1116	376	13	:	:	PUNCT
cana-1116	376	14	a	a	DET
cana-1116	376	15	concern	concern	NOUN
cana-1116	376	16	for	for	ADP
cana-1116	376	17	the	the	DET
cana-1116	376	18	patient	patient	NOUN
cana-1116	376	19	?	?	PUNCT
cana-1116	377	1	a	a	DET
cana-1116	377	2	concern	concern	NOUN
cana-1116	377	3	for	for	ADP
cana-1116	377	4	tuberculosis	tuberculosis	NOUN
cana-1116	377	5	control	control	NOUN
cana-1116	377	6	?	?	PUNCT
cana-1116	378	1	american	american	ADJ
cana-1116	378	2	journal	journal	PROPN
cana-1116	378	3	of	of	ADP
cana-1116	378	4	respiratory	respiratory	ADJ
cana-1116	378	5	and	and	CCONJ
cana-1116	378	6	critical	critical	ADJ
cana-1116	378	7	care	care	NOUN
cana-1116	378	8	medicine	medicine	NOUN
cana-1116	378	9	.	.	PUNCT
cana-1116	379	1	169	169	NUM
cana-1116	379	2	,	,	PUNCT
cana-1116	379	3	554–555	554–555	NUM
cana-1116	379	4	,	,	PUNCT
cana-1116	379	5	2004	2004	NUM
cana-1116	379	6	.	.	PUNCT
cana-1116	380	1	[	[	X
cana-1116	380	2	5	5	NUM
cana-1116	380	3	]	]	PUNCT
cana-1116	380	4	bisuta	bisuta	NOUN
cana-1116	380	5	,	,	PUNCT
cana-1116	380	6	s.f	s.f	PROPN
cana-1116	380	7	.	.	PROPN
cana-1116	380	8	kayembe	kayembe	PROPN
cana-1116	380	9	,	,	PUNCT
cana-1116	380	10	p.k	p.k	PROPN
cana-1116	380	11	.	.	PROPN
cana-1116	380	12	,	,	PUNCT
cana-1116	380	13	kabedi	kabedi	PROPN
cana-1116	380	14	,	,	PUNCT
cana-1116	380	15	m.-j.b	m.-j.b	PROPN
cana-1116	380	16	.	.	PUNCT
cana-1116	380	17	,	,	PUNCT
cana-1116	380	18	situakibanza	situakibanza	PROPN
cana-1116	380	19	,	,	PUNCT
cana-1116	380	20	h.n	h.n	PROPN
cana-1116	380	21	.	.	PROPN
cana-1116	380	22	,	,	PUNCT
cana-1116	380	23	ditekemena	ditekemena	PROPN
cana-1116	380	24	,	,	PUNCT
cana-1116	380	25	j.d	j.d	PROPN
cana-1116	380	26	.	.	PROPN
cana-1116	380	27	,	,	PUNCT
cana-1116	380	28	bakebe	bakebe	NOUN
cana-1116	380	29	,	,	PUNCT
cana-1116	380	30	a.m.	a.m.	ADV
cana-1116	380	31	,	,	PUNCT
cana-1116	380	32	lay	lay	VERB
cana-1116	380	33	,	,	PUNCT
cana-1116	380	34	g.o	g.o	PROPN
cana-1116	380	35	.	.	PROPN
cana-1116	380	36	,	,	PUNCT
cana-1116	380	37	mesia	mesia	PROPN
cana-1116	380	38	,	,	PUNCT
cana-1116	380	39	g.k	g.k	PROPN
cana-1116	380	40	.	.	PROPN
cana-1116	380	41	,	,	PUNCT
cana-1116	380	42	kayembe	kayembe	PROPN
cana-1116	380	43	,	,	PUNCT
cana-1116	380	44	j.-m.n	j.-m.n	PROPN
cana-1116	380	45	.	.	PROPN
cana-1116	380	46	,	,	PUNCT
cana-1116	380	47	fueza	fueza	PROPN
cana-1116	380	48	,	,	PUNCT
cana-1116	380	49	s.b	s.b	PROPN
cana-1116	380	50	.	.	PROPN
cana-1116	380	51	:	:	PUNCT
cana-1116	380	52	trends	trend	NOUN
cana-1116	380	53	of	of	ADP
cana-1116	380	54	bacteriologically	bacteriologically	ADV
cana-1116	380	55	confirmed	confirm	VERB
cana-1116	380	56	pulmonary	pulmonary	ADJ
cana-1116	380	57	tuberculosis	tuberculosis	NOUN
cana-1116	380	58	and	and	CCONJ
cana-1116	380	59	treatment	treatment	NOUN
cana-1116	380	60	outcomes	outcome	NOUN
cana-1116	380	61	in	in	ADP
cana-1116	380	62	democratic	democratic	ADJ
cana-1116	380	63	republic	republic	NOUN
cana-1116	380	64	of	of	ADP
cana-1116	380	65	the	the	DET
cana-1116	380	66	congo	congo	NOUN
cana-1116	380	67	:	:	PUNCT
cana-1116	380	68	2007–2017	2007–2017	NUM
cana-1116	380	69	,	,	PUNCT
cana-1116	380	70	annals	annal	NOUN
cana-1116	380	71	of	of	ADP
cana-1116	380	72	african	african	ADJ
cana-1116	380	73	medicine	medicine	NOUN
cana-1116	380	74	.	.	PUNCT
cana-1116	381	1	11	11	NUM
cana-1116	381	2	,	,	PUNCT
cana-1116	381	3	2974–2985	2974–2985	NUM
cana-1116	381	4	2018	2018	NUM
cana-1116	381	5	.	.	PUNCT
cana-1116	382	1	[	[	X
cana-1116	382	2	6	6	NUM
cana-1116	382	3	]	]	X
cana-1116	382	4	feng	feng	X
cana-1116	382	5	,	,	PUNCT
cana-1116	382	6	z.castillo	z.castillo	PROPN
cana-1116	382	7	chavez	chavez	PROPN
cana-1116	382	8	,	,	PUNCT
cana-1116	382	9	c.	c.	PROPN
cana-1116	382	10	capurro	capurro	PROPN
cana-1116	382	11	,	,	PUNCT
cana-1116	382	12	af	af	PROPN
cana-1116	382	13	.	.	PUNCT
cana-1116	383	1	a	a	DET
cana-1116	383	2	model	model	NOUN
cana-1116	383	3	for	for	ADP
cana-1116	383	4	tuberculosis	tuberculosis	NOUN
cana-1116	383	5	with	with	ADP
cana-1116	383	6	exogenous	exogenous	ADJ
cana-1116	383	7	re	re	NOUN
cana-1116	383	8	-	-	NOUN
cana-1116	383	9	infection	infection	NOUN
cana-1116	383	10	,	,	PUNCT
cana-1116	383	11	theoretical	theoretical	ADJ
cana-1116	383	12	population	population	NOUN
cana-1116	383	13	biology.57	biology.57	NOUN
cana-1116	383	14	,	,	PUNCT
cana-1116	383	15	235–247	235–247	NUM
cana-1116	383	16	,	,	PUNCT
cana-1116	383	17	2000	2000	NUM
cana-1116	383	18	.	.	PUNCT
cana-1116	384	1	[	[	X
cana-1116	384	2	7	7	NUM
cana-1116	384	3	]	]	X
cana-1116	384	4	bowong	bowong	NOUN
cana-1116	384	5	,	,	PUNCT
cana-1116	384	6	s.	s.	PROPN
cana-1116	384	7	emvudu	emvudu	PROPN
cana-1116	384	8	,	,	PUNCT
cana-1116	384	9	y.	y.	PROPN
cana-1116	384	10	moualeu	moualeu	PROPN
cana-1116	384	11	,	,	PUNCT
cana-1116	384	12	dp	dp	PROPN
cana-1116	384	13	.	.	PROPN
cana-1116	384	14	tewa	tewa	PROPN
cana-1116	384	15	,	,	PUNCT
cana-1116	384	16	jj	jj	PROPN
cana-1116	384	17	.	.	PROPN
cana-1116	384	18	mathematical	mathematical	ADJ
cana-1116	384	19	properties	property	NOUN
cana-1116	384	20	of	of	ADP
cana-1116	384	21	a	a	DET
cana-1116	384	22	tuberculosis	tuberculosis	NOUN
cana-1116	384	23	model	model	NOUN
cana-1116	384	24	with	with	ADP
cana-1116	384	25	two	two	NUM
cana-1116	384	26	differential	differential	ADJ
cana-1116	384	27	infectivity	infectivity	NOUN
cana-1116	384	28	and	and	CCONJ
cana-1116	384	29	n	n	PRON
cana-1116	384	30	latent	latent	NOUN
cana-1116	384	31	classes	class	NOUN
cana-1116	384	32	,	,	PUNCT
cana-1116	384	33	journal	journal	NOUN
cana-1116	384	34	of	of	ADP
cana-1116	384	35	nonlinear	nonlinear	ADJ
cana-1116	384	36	science	science	NOUN
cana-1116	384	37	and	and	CCONJ
cana-1116	384	38	applications.13–26	applications.13–26	ADP
cana-1116	384	39	,	,	PUNCT
cana-1116	384	40	2010	2010	NUM
cana-1116	384	41	.	.	PUNCT
cana-1116	385	1	[	[	X
cana-1116	385	2	8	8	NUM
cana-1116	385	3	]	]	X
cana-1116	385	4	naresh	naresh	PROPN
cana-1116	385	5	,	,	PUNCT
cana-1116	385	6	r.	r.	PROPN
cana-1116	385	7	pandey	pandey	PROPN
cana-1116	385	8	,	,	PUNCT
cana-1116	385	9	s.	s.	PROPN
cana-1116	385	10	shukla	shukla	PROPN
cana-1116	385	11	,	,	PUNCT
cana-1116	385	12	jb	jb	PROPN
cana-1116	385	13	.	.	PUNCT
cana-1116	386	1	modeling	model	VERB
cana-1116	386	2	the	the	DET
cana-1116	386	3	cumulative	cumulative	ADJ
cana-1116	386	4	effect	effect	NOUN
cana-1116	386	5	of	of	ADP
cana-1116	386	6	ecological	ecological	ADJ
cana-1116	386	7	factors	factor	NOUN
cana-1116	386	8	in	in	ADP
cana-1116	386	9	the	the	DET
cana-1116	386	10	habitat	habitat	NOUN
cana-1116	386	11	on	on	ADP
cana-1116	386	12	the	the	DET
cana-1116	386	13	spread	spread	NOUN
cana-1116	386	14	of	of	ADP
cana-1116	386	15	tuberculosis	tuberculosis	NOUN
cana-1116	386	16	,	,	PUNCT
cana-1116	386	17	international	international	ADJ
cana-1116	386	18	journal	journal	NOUN
cana-1116	386	19	of	of	ADP
cana-1116	386	20	biomathematics	biomathematic	NOUN
cana-1116	386	21	.	.	PUNCT
cana-1116	387	1	2	2	NUM
cana-1116	387	2	,	,	PUNCT
cana-1116	387	3	339–355	339–355	NUM
cana-1116	387	4	,	,	PUNCT
cana-1116	387	5	2009	2009	NUM
cana-1116	387	6	.	.	PUNCT
cana-1116	388	1	[	[	X
cana-1116	388	2	9	9	NUM
cana-1116	388	3	]	]	X
cana-1116	388	4	magombedze	magombedze	PROPN
cana-1116	388	5	,	,	PUNCT
cana-1116	388	6	g.	g.	PROPN
cana-1116	388	7	garira	garira	PROPN
cana-1116	388	8	,	,	PUNCT
cana-1116	388	9	w.	w.	PROPN
cana-1116	388	10	mwenje	mwenje	PROPN
cana-1116	388	11	e	e	PROPN
cana-1116	388	12	mathematical	mathematical	ADJ
cana-1116	388	13	modeling	modeling	NOUN
cana-1116	388	14	of	of	ADP
cana-1116	388	15	chemotherapy	chemotherapy	NOUN
cana-1116	388	16	of	of	ADP
cana-1116	388	17	human	human	ADJ
cana-1116	388	18	tb	tb	NOUN
cana-1116	388	19	infection	infection	NOUN
cana-1116	388	20	,	,	PUNCT
cana-1116	388	21	journal	journal	NOUN
cana-1116	388	22	of	of	ADP
cana-1116	388	23	biological	biological	ADJ
cana-1116	388	24	systems.14	systems.14	NOUN
cana-1116	388	25	,	,	PUNCT
cana-1116	388	26	509–553	509–553	NUM
cana-1116	388	27	,	,	PUNCT
cana-1116	388	28	2006	2006	NUM
cana-1116	388	29	.	.	PUNCT
cana-1116	389	1	[	[	X
cana-1116	389	2	10	10	NUM
cana-1116	389	3	]	]	X
cana-1116	389	4	humphreys	humphreys	PROPN
cana-1116	389	5	,	,	PUNCT
cana-1116	389	6	h.	h.	PROPN
cana-1116	389	7	control	control	PROPN
cana-1116	389	8	and	and	CCONJ
cana-1116	389	9	prevention	prevention	NOUN
cana-1116	389	10	of	of	ADP
cana-1116	389	11	health	health	NOUN
cana-1116	389	12	care	care	NOUN
cana-1116	389	13	associated	associate	VERB
cana-1116	389	14	tuberculosis	tuberculosis	NOUN
cana-1116	389	15	:	:	PUNCT
cana-1116	389	16	the	the	DET
cana-1116	389	17	role	role	NOUN
cana-1116	389	18	of	of	ADP
cana-1116	389	19	respiratory	respiratory	ADJ
cana-1116	389	20	isolation	isolation	NOUN
cana-1116	389	21	and	and	CCONJ
cana-1116	389	22	personal	personal	ADJ
cana-1116	389	23	respiratory	respiratory	ADJ
cana-1116	389	24	protection	protection	NOUN
cana-1116	389	25	,	,	PUNCT
cana-1116	389	26	journal	journal	NOUN
cana-1116	389	27	of	of	ADP
cana-1116	389	28	hospital	hospital	NOUN
cana-1116	389	29	infection	infection	NOUN
cana-1116	389	30	.	.	PUNCT
cana-1116	390	1	66	66	NUM
cana-1116	390	2	,	,	PUNCT
cana-1116	390	3	1–5	1–5	NUM
cana-1116	390	4	,	,	PUNCT
cana-1116	390	5	2007	2007	NUM
cana-1116	390	6	.	.	PUNCT
cana-1116	391	1	[	[	X
cana-1116	391	2	11	11	NUM
cana-1116	391	3	]	]	SYM
cana-1116	391	4	colditz	colditz	PROPN
cana-1116	391	5	,	,	PUNCT
cana-1116	391	6	g.a	g.a	PROPN
cana-1116	391	7	.	.	PROPN
cana-1116	391	8	;	;	PUNCT
cana-1116	391	9	brewer	brewer	PROPN
cana-1116	391	10	,	,	PUNCT
cana-1116	391	11	t.f	t.f	PROPN
cana-1116	391	12	.	.	PROPN
cana-1116	391	13	;	;	PUNCT
cana-1116	391	14	berkey	berkey	PROPN
cana-1116	391	15	,	,	PUNCT
cana-1116	391	16	c.s	c.s	PROPN
cana-1116	391	17	.	.	PROPN
cana-1116	391	18	;	;	PUNCT
cana-1116	391	19	wilson	wilson	PROPN
cana-1116	391	20	,	,	PUNCT
cana-1116	391	21	m.e	m.e	PROPN
cana-1116	391	22	.	.	PROPN
cana-1116	391	23	;	;	PUNCT
cana-1116	391	24	burdick	burdick	PROPN
cana-1116	391	25	,	,	PUNCT
cana-1116	391	26	e.	e.	PROPN
cana-1116	391	27	;	;	PUNCT
cana-1116	391	28	fineberg	fineberg	PROPN
cana-1116	391	29	,	,	PUNCT
cana-1116	391	30	h.v	h.v	PROPN
cana-1116	391	31	.	.	PROPN
cana-1116	391	32	;	;	PUNCT
cana-1116	391	33	mosteller	mosteller	PROPN
cana-1116	391	34	,	,	PUNCT
cana-1116	391	35	f.	f.	PROPN
cana-1116	391	36	efficacy	efficacy	PROPN
cana-1116	391	37	of	of	ADP
cana-1116	391	38	bcg	bcg	PROPN
cana-1116	391	39	vaccine	vaccine	NOUN
cana-1116	391	40	in	in	ADP
cana-1116	391	41	the	the	DET
cana-1116	391	42	prevention	prevention	NOUN
cana-1116	391	43	of	of	ADP
cana-1116	391	44	tuberculosis	tuberculosis	NOUN
cana-1116	391	45	:	:	PUNCT
cana-1116	391	46	meta	meta	ADJ
cana-1116	391	47	-	-	PUNCT
cana-1116	391	48	analysis	analysis	NOUN
cana-1116	391	49	of	of	ADP
cana-1116	391	50	the	the	DET
cana-1116	391	51	published	publish	VERB
cana-1116	391	52	literature	literature	NOUN
cana-1116	391	53	.	.	PUNCT
cana-1116	392	1	jama	jama	PROPN
cana-1116	392	2	,	,	PUNCT
cana-1116	392	3	271	271	NUM
cana-1116	392	4	,	,	PUNCT
cana-1116	392	5	698–702	698–702	NUM
cana-1116	392	6	,	,	PUNCT
cana-1116	392	7	1994	1994	NUM
cana-1116	392	8	.	.	PUNCT
cana-1116	393	1	[	[	X
cana-1116	393	2	12	12	NUM
cana-1116	393	3	]	]	X
cana-1116	393	4	nguipdop	nguipdop	NOUN
cana-1116	393	5	-	-	PUNCT
cana-1116	393	6	djomo	djomo	NOUN
cana-1116	393	7	,	,	PUNCT
cana-1116	393	8	p.	p.	NOUN
cana-1116	393	9	heldal	heldal	NOUN
cana-1116	393	10	,	,	PUNCT
cana-1116	393	11	e.	e.	PROPN
cana-1116	393	12	;	;	PUNCT
cana-1116	393	13	rodrigues	rodrigues	PROPN
cana-1116	393	14	,	,	PUNCT
cana-1116	393	15	l.c	l.c	PROPN
cana-1116	393	16	.	.	PROPN
cana-1116	393	17	;	;	PUNCT
cana-1116	393	18	abubakar	abubakar	PROPN
cana-1116	393	19	,	,	PUNCT
cana-1116	393	20	i.	i.	PROPN
cana-1116	393	21	;	;	PUNCT
cana-1116	393	22	mangtani	mangtani	ADJ
cana-1116	393	23	,	,	PUNCT
cana-1116	393	24	p.	p.	NOUN
cana-1116	393	25	duration	duration	NOUN
cana-1116	393	26	of	of	ADP
cana-1116	393	27	bcg	bcg	PROPN
cana-1116	393	28	protection	protection	NOUN
cana-1116	393	29	against	against	ADP
cana-1116	393	30	tuberculosis	tuberculosis	NOUN
cana-1116	393	31	and	and	CCONJ
cana-1116	393	32	change	change	VERB
cana-1116	393	33	in	in	ADP
cana-1116	393	34	effectiveness	effectiveness	NOUN
cana-1116	393	35	with	with	ADP
cana-1116	393	36	time	time	NOUN
cana-1116	393	37	since	since	SCONJ
cana-1116	393	38	vaccination	vaccination	NOUN
cana-1116	393	39	in	in	ADP
cana-1116	393	40	norway	norway	PROPN
cana-1116	393	41	:	:	PUNCT
cana-1116	393	42	a	a	DET
cana-1116	393	43	retrospective	retrospective	ADJ
cana-1116	393	44	population	population	NOUN
cana-1116	393	45	-	-	PUNCT
cana-1116	393	46	based	base	VERB
cana-1116	393	47	cohort	cohort	NOUN
cana-1116	393	48	study	study	NOUN
cana-1116	393	49	,	,	PUNCT
cana-1116	393	50	lancet	lancet	VERB
cana-1116	393	51	infectious	infectious	ADJ
cana-1116	393	52	diseases	disease	NOUN
cana-1116	393	53	.	.	PUNCT
cana-1116	394	1	16	16	NUM
cana-1116	394	2	,	,	PUNCT
cana-1116	394	3	219–226	219–226	NUM
cana-1116	394	4	,	,	PUNCT
cana-1116	394	5	2016	2016	NUM
cana-1116	394	6	.	.	PUNCT
cana-1116	395	1	communications	communication	NOUN
cana-1116	395	2	on	on	ADP
cana-1116	395	3	applied	apply	VERB
cana-1116	395	4	nonlinear	nonlinear	ADJ
cana-1116	395	5	analysis	analysis	NOUN
cana-1116	395	6	issn	issn	NOUN
cana-1116	395	7	:	:	PUNCT
cana-1116	395	8	1074	1074	NUM
cana-1116	395	9	-	-	PUNCT
cana-1116	395	10	133x	133x	NUM
cana-1116	395	11	vol	vol	NOUN
cana-1116	395	12	31	31	NUM
cana-1116	395	13	no	no	NOUN
cana-1116	395	14	.	.	PUNCT
cana-1116	396	1	6s	6s	NUM
cana-1116	396	2	(	(	PUNCT
cana-1116	396	3	2024	2024	NUM
cana-1116	396	4	)	)	PUNCT
cana-1116	396	5	34	34	NUM
cana-1116	396	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1116	397	1	[	[	X
cana-1116	397	2	13	13	NUM
cana-1116	397	3	]	]	PUNCT
cana-1116	397	4	gomes	gome	NOUN
cana-1116	397	5	,	,	PUNCT
cana-1116	397	6	m.g.m	m.g.m	NOUN
cana-1116	397	7	.	.	PUNCT
cana-1116	397	8	;	;	PUNCT
cana-1116	397	9	franco	franco	PROPN
cana-1116	397	10	,	,	PUNCT
cana-1116	397	11	a.o	a.o	PROPN
cana-1116	397	12	.	.	PROPN
cana-1116	397	13	;	;	PUNCT
cana-1116	397	14	gomes	gomes	PROPN
cana-1116	397	15	,	,	PUNCT
cana-1116	397	16	m.c	m.c	PROPN
cana-1116	397	17	.	.	PROPN
cana-1116	397	18	;	;	PUNCT
cana-1116	397	19	medley	medley	PROPN
cana-1116	397	20	,	,	PUNCT
cana-1116	397	21	g.f	g.f	PROPN
cana-1116	397	22	.	.	PUNCT
cana-1116	398	1	the	the	DET
cana-1116	398	2	re	re	NOUN
cana-1116	398	3	-	-	NOUN
cana-1116	398	4	infection	infection	NOUN
cana-1116	398	5	threshold	threshold	NOUN
cana-1116	398	6	promotes	promote	VERB
cana-1116	398	7	variability	variability	NOUN
cana-1116	398	8	in	in	ADP
cana-1116	398	9	tuberculosis	tuberculosis	NOUN
cana-1116	398	10	epidemiology	epidemiology	NOUN
cana-1116	398	11	and	and	CCONJ
cana-1116	398	12	vaccine	vaccine	NOUN
cana-1116	398	13	efficacy	efficacy	NOUN
cana-1116	398	14	.	.	PUNCT
cana-1116	399	1	proc	proc	PROPN
cana-1116	399	2	.	.	PUNCT
cana-1116	400	1	r.	r.	PROPN
cana-1116	400	2	soc	soc	PROPN
cana-1116	400	3	.	.	PUNCT
cana-1116	401	1	lond	lond	PROPN
cana-1116	401	2	.	.	PUNCT
cana-1116	402	1	ser	ser	PROPN
cana-1116	402	2	,	,	PUNCT
cana-1116	402	3	b	b	PROPN
cana-1116	402	4	journal	journal	NOUN
cana-1116	402	5	of	of	ADP
cana-1116	402	6	biological	biological	ADJ
cana-1116	402	7	science	science	NOUN
cana-1116	402	8	.	.	PUNCT
cana-1116	403	1	271	271	NUM
cana-1116	403	2	,	,	PUNCT
cana-1116	403	3	617–623	617–623	NUM
cana-1116	403	4	,	,	PUNCT
cana-1116	403	5	2004	2004	NUM
cana-1116	403	6	.	.	PUNCT
cana-1116	404	1	[	[	X
cana-1116	404	2	14	14	NUM
cana-1116	404	3	]	]	SYM
cana-1116	404	4	porco	porco	PROPN
cana-1116	404	5	,	,	PUNCT
cana-1116	404	6	t.c	t.c	PROPN
cana-1116	404	7	.	.	PROPN
cana-1116	404	8	;	;	PUNCT
cana-1116	404	9	blower	blower	NOUN
cana-1116	404	10	,	,	PUNCT
cana-1116	404	11	s.m	s.m	PROPN
cana-1116	404	12	.	.	PUNCT
cana-1116	404	13	quantifying	quantify	VERB
cana-1116	404	14	the	the	DET
cana-1116	404	15	intrinsic	intrinsic	ADJ
cana-1116	404	16	transmission	transmission	NOUN
cana-1116	404	17	dynamics	dynamic	NOUN
cana-1116	404	18	of	of	ADP
cana-1116	404	19	tuberculosis	tuberculosis	NOUN
cana-1116	404	20	,	,	PUNCT
cana-1116	404	21	theoretical	theoretical	ADJ
cana-1116	404	22	population	population	NOUN
cana-1116	404	23	biology	biology	NOUN
cana-1116	404	24	.	.	PUNCT
cana-1116	405	1	54	54	NUM
cana-1116	405	2	,	,	PUNCT
cana-1116	405	3	117–132,1998	117–132,1998	NUM
cana-1116	405	4	.	.	PUNCT
cana-1116	406	1	[	[	X
cana-1116	406	2	15	15	NUM
cana-1116	406	3	]	]	X
cana-1116	406	4	adewale	adewale	PROPN
cana-1116	406	5	,	,	PUNCT
cana-1116	406	6	s.	s.	PROPN
cana-1116	406	7	o.	o.	PROPN
cana-1116	406	8	,	,	PUNCT
cana-1116	406	9	podder	podder	NOUN
cana-1116	406	10	,	,	PUNCT
cana-1116	406	11	c.	c.	PROPN
cana-1116	406	12	n.	n.	PROPN
cana-1116	406	13	,	,	PUNCT
cana-1116	406	14	gumel	gumel	PROPN
cana-1116	406	15	,	,	PUNCT
cana-1116	406	16	a.	a.	PROPN
cana-1116	406	17	b.	b.	PROPN
cana-1116	406	18	mathematical	mathematical	ADJ
cana-1116	406	19	analysis	analysis	NOUN
cana-1116	406	20	of	of	ADP
cana-1116	406	21	a	a	DET
cana-1116	406	22	tb	tb	NOUN
cana-1116	406	23	transmission	transmission	NOUN
cana-1116	406	24	model	model	NOUN
cana-1116	406	25	with	with	ADP
cana-1116	406	26	dots	dot	NOUN
cana-1116	406	27	.	.	PUNCT
cana-1116	407	1	can	can	AUX
cana-1116	407	2	,	,	PUNCT
cana-1116	407	3	applied	apply	VERB
cana-1116	407	4	mathematics	mathematic	NOUN
cana-1116	407	5	.	.	PUNCT
cana-1116	408	1	17	17	NUM
cana-1116	408	2	,	,	PUNCT
cana-1116	408	3	1–36,2009	1–36,2009	NUM
cana-1116	408	4	.	.	PUNCT
cana-1116	409	1	[	[	X
cana-1116	409	2	16	16	NUM
cana-1116	409	3	]	]	X
cana-1116	409	4	egonmwan	egonmwan	PROPN
cana-1116	409	5	,	,	PUNCT
cana-1116	409	6	a.o	a.o	PROPN
cana-1116	409	7	.	.	PROPN
cana-1116	409	8	;	;	PUNCT
cana-1116	409	9	okuonghae	okuonghae	NOUN
cana-1116	409	10	,	,	PUNCT
cana-1116	409	11	d.	d.	NOUN
cana-1116	409	12	analysis	analysis	NOUN
cana-1116	409	13	of	of	ADP
cana-1116	409	14	a	a	DET
cana-1116	409	15	mathematical	mathematical	ADJ
cana-1116	409	16	model	model	NOUN
cana-1116	409	17	for	for	ADP
cana-1116	409	18	tuberculosis	tuberculosis	NOUN
cana-1116	409	19	with	with	ADP
cana-1116	409	20	diagnosis	diagnosis	NOUN
cana-1116	409	21	,	,	PUNCT
cana-1116	409	22	journal	journal	NOUN
cana-1116	409	23	of	of	ADP
cana-1116	409	24	computational	computational	ADJ
cana-1116	409	25	and	and	CCONJ
cana-1116	409	26	applied	applied	ADJ
cana-1116	409	27	mathematics	mathematic	NOUN
cana-1116	409	28	.	.	PUNCT
cana-1116	410	1	59	59	NUM
cana-1116	410	2	,	,	PUNCT
cana-1116	410	3	129–162	129–162	NUM
cana-1116	410	4	,	,	PUNCT
cana-1116	410	5	2009	2009	NUM
cana-1116	410	6	.	.	PUNCT
cana-1116	411	1	[	[	X
cana-1116	411	2	17	17	NUM
cana-1116	411	3	]	]	PUNCT
cana-1116	411	4	ullah	ullah	PROPN
cana-1116	411	5	,	,	PUNCT
cana-1116	411	6	s.	s.	PROPN
cana-1116	411	7	;	;	PUNCT
cana-1116	411	8	khan	khan	PROPN
cana-1116	411	9	,	,	PUNCT
cana-1116	411	10	m.a	m.a	PROPN
cana-1116	411	11	.	.	PROPN
cana-1116	411	12	;	;	PUNCT
cana-1116	411	13	farooq	farooq	PROPN
cana-1116	411	14	,	,	PUNCT
cana-1116	411	15	m.	m.	NOUN
cana-1116	411	16	;	;	PUNCT
cana-1116	411	17	gul	gul	PROPN
cana-1116	411	18	,	,	PUNCT
cana-1116	411	19	t.	t.	NOUN
cana-1116	411	20	modeling	modeling	NOUN
cana-1116	411	21	and	and	CCONJ
cana-1116	411	22	analysis	analysis	NOUN
cana-1116	411	23	of	of	ADP
cana-1116	411	24	tuberculosis	tuberculosis	NOUN
cana-1116	411	25	(	(	PUNCT
cana-1116	411	26	tb	tb	NOUN
cana-1116	411	27	)	)	PUNCT
cana-1116	411	28	in	in	ADP
cana-1116	411	29	khyber	khyber	PROPN
cana-1116	411	30	pakhtunkhwa	pakhtunkhwa	PROPN
cana-1116	411	31	,	,	PUNCT
cana-1116	411	32	pakistan	pakistan	PROPN
cana-1116	411	33	,	,	PUNCT
cana-1116	411	34	mathematics	mathematic	NOUN
cana-1116	411	35	,	,	PUNCT
cana-1116	411	36	and	and	CCONJ
cana-1116	411	37	computers	computer	NOUN
cana-1116	411	38	simulation	simulation	NOUN
cana-1116	411	39	.	.	PUNCT
cana-1116	412	1	165	165	NUM
cana-1116	412	2	,	,	PUNCT
cana-1116	412	3	181–199	181–199	NUM
cana-1116	412	4	,	,	PUNCT
cana-1116	412	5	2019	2019	NUM
cana-1116	412	6	.	.	PUNCT
cana-1116	413	1	[	[	X
cana-1116	413	2	18	18	NUM
cana-1116	413	3	]	]	SYM
cana-1116	413	4	bloom	bloom	NOUN
cana-1116	413	5	,	,	PUNCT
cana-1116	413	6	b.r	b.r	PROPN
cana-1116	413	7	.	.	PROPN
cana-1116	413	8	;	;	PUNCT
cana-1116	413	9	murray	murray	PROPN
cana-1116	413	10	,	,	PUNCT
cana-1116	413	11	c.j	c.j	PROPN
cana-1116	413	12	.	.	PROPN
cana-1116	413	13	tuberculosis	tuberculosis	NOUN
cana-1116	413	14	:	:	PUNCT
cana-1116	413	15	commentary	commentary	NOUN
cana-1116	413	16	on	on	ADP
cana-1116	413	17	a	a	DET
cana-1116	413	18	reemergent	reemergent	ADJ
cana-1116	413	19	killer	killer	NOUN
cana-1116	413	20	,	,	PUNCT
cana-1116	413	21	science	science	NOUN
cana-1116	413	22	.	.	PUNCT
cana-1116	414	1	257	257	NUM
cana-1116	414	2	,	,	PUNCT
cana-1116	414	3	1055–1064	1055–1064	NUM
cana-1116	414	4	,	,	PUNCT
cana-1116	414	5	1992	1992	NUM
cana-1116	414	6	.	.	PUNCT
cana-1116	415	1	[	[	X
cana-1116	415	2	19	19	NUM
cana-1116	415	3	]	]	X
cana-1116	415	4	behr	behr	NOUN
cana-1116	415	5	,	,	PUNCT
cana-1116	415	6	m.a	m.a	PROPN
cana-1116	415	7	.	.	PROPN
cana-1116	415	8	tuberculosis	tuberculosis	NOUN
cana-1116	415	9	due	due	ADP
cana-1116	415	10	to	to	ADP
cana-1116	415	11	multiple	multiple	ADJ
cana-1116	415	12	strains	strain	NOUN
cana-1116	415	13	:	:	PUNCT
cana-1116	415	14	a	a	DET
cana-1116	415	15	concern	concern	NOUN
cana-1116	415	16	for	for	ADP
cana-1116	415	17	the	the	DET
cana-1116	415	18	patient	patient	NOUN
cana-1116	415	19	?	?	PUNCT
cana-1116	416	1	a	a	DET
cana-1116	416	2	concern	concern	NOUN
cana-1116	416	3	for	for	ADP
cana-1116	416	4	tuberculosis	tuberculosis	NOUN
cana-1116	416	5	control	control	NOUN
cana-1116	416	6	?	?	PUNCT
cana-1116	417	1	annals	annal	NOUN
cana-1116	417	2	of	of	ADP
cana-1116	417	3	the	the	DET
cana-1116	417	4	american	american	PROPN
cana-1116	417	5	thoracic	thoracic	NOUN
cana-1116	417	6	society.169	society.169	PROPN
cana-1116	417	7	,	,	PUNCT
cana-1116	417	8	554–555	554–555	NUM
cana-1116	417	9	,	,	PUNCT
cana-1116	417	10	2004	2004	NUM
cana-1116	417	11	.	.	PUNCT
cana-1116	418	1	[	[	X
cana-1116	418	2	20	20	NUM
cana-1116	418	3	]	]	X
cana-1116	418	4	dolin	dolin	PROPN
cana-1116	418	5	,	,	PUNCT
cana-1116	418	6	p.j	p.j	PROPN
cana-1116	418	7	.	.	PROPN
cana-1116	418	8	raviglione	raviglione	PROPN
cana-1116	418	9	,	,	PUNCT
cana-1116	418	10	m.c	m.c	PROPN
cana-1116	418	11	.	.	PROPN
cana-1116	418	12	kochi	kochi	PROPN
cana-1116	418	13	,	,	PUNCT
cana-1116	418	14	a.	a.	NOUN
cana-1116	418	15	global	global	ADJ
cana-1116	418	16	tuberculosis	tuberculosis	NOUN
cana-1116	418	17	incidence	incidence	NOUN
cana-1116	418	18	and	and	CCONJ
cana-1116	418	19	mortality	mortality	NOUN
cana-1116	418	20	during	during	ADP
cana-1116	418	21	1990–2000	1990–2000	NUM
cana-1116	418	22	.	.	PUNCT
cana-1116	419	1	bull	bull	NOUN
cana-1116	419	2	,	,	PUNCT
cana-1116	419	3	world	world	NOUN
cana-1116	419	4	health	health	NOUN
cana-1116	419	5	organiztion.72	organiztion.72	NOUN
cana-1116	419	6	,	,	PUNCT
cana-1116	419	7	213,1994	213,1994	NUM
cana-1116	419	8	.	.	PUNCT
cana-1116	420	1	[	[	X
cana-1116	420	2	21	21	NUM
cana-1116	420	3	]	]	X
cana-1116	420	4	castillo	castillo	PROPN
cana-1116	420	5	-	-	PUNCT
cana-1116	420	6	chavez	chavez	PROPN
cana-1116	420	7	,	,	PUNCT
cana-1116	420	8	c.	c.	PROPN
cana-1116	420	9	song	song	PROPN
cana-1116	420	10	,	,	PUNCT
cana-1116	420	11	b.	b.	PROPN
cana-1116	420	12	dynamical	dynamical	ADJ
cana-1116	420	13	models	model	NOUN
cana-1116	420	14	of	of	ADP
cana-1116	420	15	tuberculosis	tuberculosis	NOUN
cana-1116	420	16	and	and	CCONJ
cana-1116	420	17	their	their	PRON
cana-1116	420	18	applications	application	NOUN
cana-1116	420	19	,	,	PUNCT
cana-1116	420	20	mathematical	mathematical	ADJ
cana-1116	420	21	biosciences	bioscience	NOUN
cana-1116	420	22	and	and	CCONJ
cana-1116	420	23	engineering.1	engineering.1	PROPN
cana-1116	420	24	,	,	PUNCT
cana-1116	420	25	361	361	NUM
cana-1116	420	26	,	,	PUNCT
cana-1116	420	27	2004	2004	NUM
cana-1116	420	28	.	.	PUNCT
cana-1116	421	1	[	[	X
cana-1116	421	2	22	22	NUM
cana-1116	421	3	]	]	X
cana-1116	421	4	richardson	richardson	PROPN
cana-1116	421	5	,	,	PUNCT
cana-1116	421	6	m.	m.	PROPN
cana-1116	421	7	carroll	carroll	PROPN
cana-1116	421	8	,	,	PUNCT
cana-1116	421	9	n.m	n.m	PROPN
cana-1116	421	10	.	.	PROPN
cana-1116	421	11	engelke	engelke	ADV
cana-1116	421	12	,	,	PUNCT
cana-1116	421	13	e.	e.	PROPN
cana-1116	421	14	van	van	PROPN
cana-1116	421	15	der	der	PROPN
cana-1116	421	16	spuy	spuy	NOUN
cana-1116	421	17	,	,	PUNCT
cana-1116	421	18	g.d	g.d	PROPN
cana-1116	421	19	.	.	PROPN
cana-1116	421	20	;	;	PUNCT
cana-1116	421	21	salker	salker	PROPN
cana-1116	421	22	,	,	PUNCT
cana-1116	421	23	f.	f.	PROPN
cana-1116	421	24	munch	munch	PROPN
cana-1116	421	25	,	,	PUNCT
cana-1116	421	26	z.	z.	PROPN
cana-1116	421	27	van	van	PROPN
cana-1116	421	28	helden	helden	PROPN
cana-1116	421	29	,	,	PUNCT
cana-1116	421	30	p.d	p.d	PROPN
cana-1116	421	31	.	.	PROPN
cana-1116	421	32	multiple	multiple	ADJ
cana-1116	421	33	mycobacterium	mycobacterium	NOUN
cana-1116	421	34	tuberculosis	tuberculosis	NOUN
cana-1116	421	35	strains	strain	NOUN
cana-1116	421	36	in	in	ADP
cana-1116	421	37	early	early	ADJ
cana-1116	421	38	cultures	culture	NOUN
cana-1116	421	39	from	from	ADP
cana-1116	421	40	patients	patient	NOUN
cana-1116	421	41	in	in	ADP
cana-1116	421	42	a	a	DET
cana-1116	421	43	high	high	ADJ
cana-1116	421	44	-	-	PUNCT
cana-1116	421	45	incidence	incidence	NOUN
cana-1116	421	46	community	community	NOUN
cana-1116	421	47	setting	setting	NOUN
cana-1116	421	48	,	,	PUNCT
cana-1116	421	49	journal	journal	NOUN
cana-1116	421	50	of	of	ADP
cana-1116	421	51	clinical	clinical	ADJ
cana-1116	421	52	microbiology.40	microbiology.40	NOUN
cana-1116	421	53	,	,	PUNCT
cana-1116	421	54	2750–2754	2750–2754	NUM
cana-1116	421	55	,	,	PUNCT
cana-1116	421	56	2002	2002	NUM
cana-1116	421	57	.	.	PUNCT
cana-1116	422	1	[	[	X
cana-1116	422	2	23	23	NUM
cana-1116	422	3	]	]	X
cana-1116	422	4	naresh	naresh	PROPN
cana-1116	422	5	kumar	kumar	PROPN
cana-1116	422	6	jothi	jothi	PROPN
cana-1116	422	7	,	,	PUNCT
cana-1116	422	8	lakshmi	lakshmi	PROPN
cana-1116	422	9	.	.	PUNCT
cana-1116	423	1	a	a	PRON
cana-1116	423	2	,	,	PUNCT
cana-1116	423	3	development	development	NOUN
cana-1116	423	4	and	and	CCONJ
cana-1116	423	5	analysis	analysis	NOUN
cana-1116	423	6	of	of	ADP
cana-1116	423	7	malaria	malaria	NOUN
cana-1116	423	8	vector	vector	NOUN
cana-1116	423	9	by	by	ADP
cana-1116	423	10	mathematical	mathematical	ADJ
cana-1116	423	11	modeling	modeling	NOUN
cana-1116	423	12	;	;	PUNCT
cana-1116	423	13	lecture	lecture	NOUN
cana-1116	423	14	notes	note	NOUN
cana-1116	423	15	in	in	ADP
cana-1116	423	16	electrical	electrical	ADJ
cana-1116	423	17	engineering	engineering	NOUN
cana-1116	423	18	:	:	PUNCT
cana-1116	423	19	springer	springer	NOUN
cana-1116	423	20	.	.	PUNCT
cana-1116	424	1	1116	1116	NUM
cana-1116	424	2	,	,	PUNCT
cana-1116	424	3	551	551	NUM
cana-1116	424	4	-	-	SYM
cana-1116	424	5	562	562	NUM
cana-1116	424	6	,	,	PUNCT
cana-1116	424	7	2024	2024	NUM
cana-1116	424	8	.	.	PUNCT
cana-1116	425	1	[	[	X
cana-1116	425	2	24	24	NUM
cana-1116	425	3	]	]	SYM
cana-1116	425	4	blower	blower	NOUN
cana-1116	425	5	,	,	PUNCT
cana-1116	425	6	s.m	s.m	PROPN
cana-1116	425	7	.	.	PROPN
cana-1116	425	8	mclean	mclean	PROPN
cana-1116	425	9	,	,	PUNCT
cana-1116	425	10	a.r	a.r	PROPN
cana-1116	425	11	.	.	PROPN
cana-1116	425	12	porco	porco	PROPN
cana-1116	425	13	,	,	PUNCT
cana-1116	425	14	t.c	t.c	PROPN
cana-1116	425	15	.	.	PROPN
cana-1116	425	16	small	small	ADJ
cana-1116	425	17	,	,	PUNCT
cana-1116	425	18	p.m.	p.m.	NOUN
cana-1116	425	19	hopewell	hopewell	PROPN
cana-1116	425	20	,	,	PUNCT
cana-1116	425	21	p.c	p.c	PROPN
cana-1116	425	22	.	.	PROPN
cana-1116	425	23	sanchez	sanchez	PROPN
cana-1116	425	24	,	,	PUNCT
cana-1116	425	25	m.a	m.a	PROPN
cana-1116	425	26	.	.	PROPN
cana-1116	425	27	moss	moss	PROPN
cana-1116	425	28	,	,	PUNCT
cana-1116	425	29	a.r	a.r	PROPN
cana-1116	425	30	.	.	PROPN
cana-1116	425	31	the	the	DET
cana-1116	425	32	intrinsic	intrinsic	ADJ
cana-1116	425	33	transmission	transmission	NOUN
cana-1116	425	34	dynamics	dynamic	NOUN
cana-1116	425	35	of	of	ADP
cana-1116	425	36	tuberculosis	tuberculosis	NOUN
cana-1116	425	37	epidemics	epidemic	NOUN
cana-1116	425	38	,	,	PUNCT
cana-1116	425	39	nature	nature	NOUN
cana-1116	425	40	medicine	medicine	NOUN
cana-1116	425	41	.	.	PUNCT
cana-1116	426	1	1	1	NUM
cana-1116	426	2	,	,	PUNCT
cana-1116	426	3	815–821,1995	815–821,1995	NOUN
cana-1116	426	4	.	.	PUNCT
cana-1116	427	1	[	[	X
cana-1116	427	2	25	25	NUM
cana-1116	427	3	]	]	PUNCT
cana-1116	427	4	brogger	brogger	NOUN
cana-1116	427	5	,	,	PUNCT
cana-1116	427	6	s.	s.	PROPN
cana-1116	427	7	systems	systems	PROPN
cana-1116	427	8	analysis	analysis	NOUN
cana-1116	427	9	in	in	ADP
cana-1116	427	10	tuberculosis	tuberculosis	NOUN
cana-1116	427	11	control	control	NOUN
cana-1116	427	12	,	,	PUNCT
cana-1116	427	13	a	a	DET
cana-1116	427	14	model	model	NOUN
cana-1116	427	15	american	american	PROPN
cana-1116	427	16	review	review	NOUN
cana-1116	427	17	of	of	ADP
cana-1116	427	18	respiratory	respiratory	ADJ
cana-1116	427	19	diseases	disease	NOUN
cana-1116	427	20	.	.	PUNCT
cana-1116	428	1	95	95	NUM
cana-1116	428	2	,	,	PUNCT
cana-1116	428	3	419	419	NUM
cana-1116	428	4	–	–	PUNCT
cana-1116	428	5	434	434	NUM
cana-1116	428	6	,	,	PUNCT
cana-1116	428	7	1967	1967	NUM
cana-1116	428	8	.	.	PUNCT
cana-1116	429	1	[	[	X
cana-1116	429	2	26	26	NUM
cana-1116	429	3	]	]	X
cana-1116	429	4	naresh	naresh	PROPN
cana-1116	429	5	kumar	kumar	PROPN
cana-1116	429	6	jothi	jothi	PROPN
cana-1116	429	7	,	,	PUNCT
cana-1116	429	8	vadivelu	vadivelu	PROPN
cana-1116	429	9	,	,	PUNCT
cana-1116	429	10	v.	v.	ADP
cana-1116	429	11	senthil	senthil	PROPN
cana-1116	429	12	kumar	kumar	PROPN
cana-1116	429	13	dayalan	dayalan	PROPN
cana-1116	429	14	,	,	PUNCT
cana-1116	429	15	jayant	jayant	PROPN
cana-1116	429	16	giri	giri	PROPN
cana-1116	429	17	,	,	PUNCT
cana-1116	429	18	wesam	wesam	PROPN
cana-1116	429	19	atef	atef	PROPN
cana-1116	429	20	hatamleh	hatamleh	PROPN
cana-1116	429	21	,	,	PUNCT
cana-1116	429	22	and	and	CCONJ
cana-1116	429	23	hitesh	hitesh	PROPN
cana-1116	429	24	panchal	panchal	VERB
cana-1116	429	25	,	,	PUNCT
cana-1116	429	26	dynamic	dynamic	ADJ
cana-1116	429	27	interactions	interaction	NOUN
cana-1116	429	28	of	of	ADP
cana-1116	429	29	hsv-2	hsv-2	X
cana-1116	429	30	and	and	CCONJ
cana-1116	429	31	hiv	hiv	PROPN
cana-1116	429	32	/	/	SYM
cana-1116	429	33	aids	aids	PROPN
cana-1116	429	34	:	:	PUNCT
cana-1116	429	35	a	a	DET
cana-1116	429	36	mathematical	mathematical	ADJ
cana-1116	429	37	modeling	modeling	NOUN
cana-1116	429	38	approach	approach	NOUN
cana-1116	429	39	,	,	PUNCT
cana-1116	429	40	aip	aip	PROPN
cana-1116	429	41	advances	advance	VERB
cana-1116	429	42	.	.	PUNCT
cana-1116	430	1	14	14	NUM
cana-1116	430	2	,	,	PUNCT
cana-1116	430	3	1	1	NUM
cana-1116	430	4	-	-	SYM
cana-1116	430	5	16	16	NUM
cana-1116	430	6	,	,	PUNCT
cana-1116	430	7	2024	2024	NUM
cana-1116	430	8	.	.	PUNCT
cana-1116	431	1	[	[	X
cana-1116	431	2	27	27	NUM
cana-1116	431	3	]	]	PUNCT
cana-1116	431	4	zargar	zargar	NOUN
cana-1116	431	5	.	.	PUNCT
cana-1116	432	1	f.a	f.a	PROPN
cana-1116	432	2	and	and	CCONJ
cana-1116	432	3	khanday	khanday	PROPN
cana-1116	432	4	.	.	PUNCT
cana-1116	433	1	m.a	m.a	NOUN
cana-1116	433	2	,	,	PUNCT
cana-1116	433	3	mathematical	mathematical	ADJ
cana-1116	433	4	analysis	analysis	NOUN
cana-1116	433	5	on	on	ADP
cana-1116	433	6	the	the	DET
cana-1116	433	7	dynamics	dynamic	NOUN
cana-1116	433	8	of	of	ADP
cana-1116	433	9	covid-19	covid-19	PROPN
cana-1116	433	10	in	in	ADP
cana-1116	433	11	india	india	PROPN
cana-1116	433	12	using	use	VERB
cana-1116	433	13	sir	sir	PROPN
cana-1116	433	14	epidemic	epidemic	NOUN
cana-1116	433	15	model	model	NOUN
cana-1116	433	16	,	,	PUNCT
cana-1116	433	17	mapana	mapana	PROPN
cana-1116	433	18	journal	journal	PROPN
cana-1116	433	19	of	of	ADP
cana-1116	433	20	sciences	sciences	PROPN
cana-1116	433	21	.	.	PUNCT
cana-1116	434	1	19	19	NUM
cana-1116	434	2	,	,	PUNCT
cana-1116	434	3	3	3	NUM
cana-1116	434	4	,	,	PUNCT
cana-1116	434	5	2020	2020	NUM
cana-1116	434	6	.	.	PUNCT
cana-1116	435	1	[	[	X
cana-1116	435	2	28	28	NUM
cana-1116	435	3	]	]	X
cana-1116	435	4	castillo	castillo	PROPN
cana-1116	435	5	-	-	PUNCT
cana-1116	435	6	chavez	chavez	PROPN
cana-1116	435	7	,	,	PUNCT
cana-1116	435	8	c.	c.	PROPN
cana-1116	435	9	and	and	CCONJ
cana-1116	435	10	feng	feng	PROPN
cana-1116	435	11	,	,	PUNCT
cana-1116	435	12	z.	z.	PROPN
cana-1116	435	13	to	to	PART
cana-1116	435	14	treat	treat	VERB
cana-1116	435	15	or	or	CCONJ
cana-1116	435	16	not	not	PART
cana-1116	435	17	to	to	PART
cana-1116	435	18	treat	treat	VERB
cana-1116	435	19	:	:	PUNCT
cana-1116	435	20	the	the	DET
cana-1116	435	21	case	case	NOUN
cana-1116	435	22	of	of	ADP
cana-1116	435	23	tuberculosis	tuberculosis	NOUN
cana-1116	435	24	,	,	PUNCT
cana-1116	435	25	journal	journal	NOUN
cana-1116	435	26	of	of	ADP
cana-1116	435	27	mathematical	mathematical	ADJ
cana-1116	435	28	biology	biology	NOUN
cana-1116	435	29	.	.	PUNCT
cana-1116	436	1	35	35	NUM
cana-1116	436	2	,	,	PUNCT
cana-1116	436	3	629–656,1997	629–656,1997	NUM
cana-1116	436	4	.	.	PUNCT
cana-1116	437	1	[	[	X
cana-1116	437	2	29	29	NUM
cana-1116	437	3	]	]	X
cana-1116	437	4	naresh	naresh	PROPN
cana-1116	437	5	kumar	kumar	PROPN
cana-1116	437	6	jothi	jothi	PROPN
cana-1116	437	7	,	,	PUNCT
cana-1116	437	8	m.	m.	PROPN
cana-1116	437	9	l.	l.	PROPN
cana-1116	437	10	suresh	suresh	PROPN
cana-1116	437	11	,	,	PUNCT
cana-1116	437	12	and	and	CCONJ
cana-1116	437	13	t.	t.	PROPN
cana-1116	437	14	n.	n.	PROPN
cana-1116	437	15	m.	m.	PROPN
cana-1116	437	16	malini	malini	PROPN
cana-1116	437	17	mai	mai	PROPN
cana-1116	437	18	,	,	PUNCT
cana-1116	437	19	“	"	PUNCT
cana-1116	437	20	mathematical	mathematical	ADJ
cana-1116	437	21	model	model	NOUN
cana-1116	437	22	for	for	ADP
cana-1116	437	23	the	the	DET
cana-1116	437	24	control	control	NOUN
cana-1116	437	25	of	of	ADP
cana-1116	437	26	life	life	NOUN
cana-1116	437	27	cycle	cycle	NOUN
cana-1116	437	28	of	of	ADP
cana-1116	437	29	feminine	feminine	ADJ
cana-1116	437	30	anopheles	anophele	NOUN
cana-1116	437	31	mosquitoes	mosquito	NOUN
cana-1116	437	32	,	,	PUNCT
cana-1116	437	33	”	"	PUNCT
cana-1116	437	34	int	int	NOUN
cana-1116	437	35	.	.	PUNCT
cana-1116	438	1	j.	j.	PROPN
cana-1116	438	2	recent	recent	ADJ
cana-1116	438	3	technol	technol	PROPN
cana-1116	438	4	.	.	PUNCT
cana-1116	438	5	eng.8(3	eng.8(3	PROPN
cana-1116	438	6	)	)	PUNCT
cana-1116	438	7	,	,	PUNCT
cana-1116	438	8	5316–5319	5316–5319	NUM
cana-1116	438	9	2019	2019	NUM
cana-1116	438	10	.	.	PUNCT
cana-1116	439	1	[	[	X
cana-1116	439	2	30	30	NUM
cana-1116	439	3	]	]	X
cana-1116	439	4	naresh	naresh	PROPN
cana-1116	439	5	kumar	kumar	PROPN
cana-1116	439	6	jothi	jothi	PROPN
cana-1116	439	7	,	,	PUNCT
cana-1116	439	8	anusha	anusha	PROPN
cana-1116	439	9	muruganandham	muruganandham	PROPN
cana-1116	439	10	,	,	PUNCT
cana-1116	439	11	t.	t.	PROPN
cana-1116	439	12	vivekanandan	vivekanandan	PROPN
cana-1116	439	13	,	,	PUNCT
cana-1116	439	14	t.	t.	PROPN
cana-1116	439	15	stalin	stalin	PROPN
cana-1116	439	16	,	,	PUNCT
cana-1116	439	17	and	and	CCONJ
cana-1116	439	18	senthil	senthil	PROPN
cana-1116	439	19	kumar	kumar	PROPN
cana-1116	439	20	dayalan	dayalan	PROPN
cana-1116	439	21	,	,	PUNCT
cana-1116	439	22	mathematical	mathematical	ADJ
cana-1116	439	23	analysis	analysis	NOUN
cana-1116	439	24	of	of	ADP
cana-1116	439	25	control	control	NOUN
cana-1116	439	26	strategies	strategy	NOUN
cana-1116	439	27	and	and	CCONJ
cana-1116	439	28	stability	stability	NOUN
cana-1116	439	29	in	in	ADP
cana-1116	439	30	feminine	feminine	ADJ
cana-1116	439	31	aedes	aedes	PROPN
cana-1116	439	32	aegypti	aegypti	PROPN
cana-1116	439	33	,	,	PUNCT
cana-1116	439	34	j.	j.	PROPN
cana-1116	439	35	asiat	asiat	PROPN
cana-1116	439	36	.	.	PUNCT
cana-1116	439	37	soc	soc	PROPN
cana-1116	439	38	.	.	PUNCT
cana-1116	440	1	mumbai	mumbai	PROPN
cana-1116	440	2	96	96	NUM
cana-1116	440	3	,	,	PUNCT
cana-1116	440	4	115	115	NUM
cana-1116	440	5	–	–	PUNCT
cana-1116	440	6	125	125	NUM
cana-1116	440	7	2023	2023	NUM
cana-1116	440	8	[	[	X
cana-1116	440	9	31	31	NUM
cana-1116	440	10	]	]	PUNCT
cana-1116	440	11	t.	t.	PROPN
cana-1116	440	12	a.	a.	PROPN
cana-1116	440	13	kenyon	kenyon	PROPN
cana-1116	440	14	,	,	PUNCT
cana-1116	440	15	s.	s.	PROPN
cana-1116	440	16	e.	e.	PROPN
cana-1116	440	17	valway	valway	PROPN
cana-1116	440	18	,	,	PUNCT
cana-1116	440	19	w.	w.	PROPN
cana-1116	440	20	w.	w.	PROPN
cana-1116	440	21	ihle	ihle	PROPN
cana-1116	440	22	,	,	PUNCT
cana-1116	440	23	i	i	PRON
cana-1116	440	24	m	m	VERB
cana-1116	440	25	onorato	onorato	ADJ
cana-1116	440	26	,	,	PUNCT
cana-1116	440	27	castro	castro	NOUN
cana-1116	440	28	,	,	PUNCT
cana-1116	440	29	transmission	transmission	NOUN
cana-1116	440	30	of	of	ADP
cana-1116	440	31	multidrug	multidrug	NOUN
cana-1116	440	32	-	-	PUNCT
cana-1116	440	33	resistant	resistant	ADJ
cana-1116	440	34	mycobacterium	mycobacterium	NOUN
cana-1116	440	35	tuberculosis	tuberculosis	NOUN
cana-1116	440	36	during	during	ADP
cana-1116	440	37	a	a	DET
cana-1116	440	38	long	long	ADJ
cana-1116	440	39	airplane	airplane	NOUN
cana-1116	440	40	flight	flight	NOUN
cana-1116	440	41	,	,	PUNCT
cana-1116	440	42	new	new	PROPN
cana-1116	440	43	england	england	PROPN
cana-1116	440	44	journal	journal	PROPN
cana-1116	440	45	of	of	ADP
cana-1116	440	46	medicine	medicine	NOUN
cana-1116	440	47	.	.	PUNCT
cana-1116	441	1	334	334	NUM
cana-1116	441	2	,	,	PUNCT
cana-1116	441	3	933–938,1996	933–938,1996	NUM
cana-1116	441	4	.	.	PUNCT
cana-1116	442	1	[	[	X
cana-1116	442	2	32	32	NUM
cana-1116	442	3	]	]	X
cana-1116	442	4	kar	kar	PROPN
cana-1116	442	5	,	,	PUNCT
cana-1116	442	6	t.k	t.k	PROPN
cana-1116	442	7	.	.	PROPN
cana-1116	442	8	;	;	PUNCT
cana-1116	442	9	mondal	mondal	PROPN
cana-1116	442	10	,	,	PUNCT
cana-1116	442	11	p.k	p.k	PROPN
cana-1116	442	12	.	.	PUNCT
cana-1116	442	13	global	global	ADJ
cana-1116	442	14	dynamics	dynamic	NOUN
cana-1116	442	15	of	of	ADP
cana-1116	442	16	a	a	DET
cana-1116	442	17	tuberculosis	tuberculosis	NOUN
cana-1116	442	18	epidemic	epidemic	NOUN
cana-1116	442	19	model	model	NOUN
cana-1116	442	20	and	and	CCONJ
cana-1116	442	21	the	the	DET
cana-1116	442	22	influence	influence	NOUN
cana-1116	442	23	of	of	ADP
cana-1116	442	24	backward	backward	ADJ
cana-1116	442	25	bifurcation	bifurcation	NOUN
cana-1116	442	26	,	,	PUNCT
cana-1116	442	27	journal	journal	NOUN
cana-1116	442	28	of	of	ADP
cana-1116	442	29	mathematical	mathematical	ADJ
cana-1116	442	30	biology	biology	NOUN
cana-1116	442	31	.	.	PUNCT
cana-1116	443	1	algorithms	algorithm	NOUN
cana-1116	443	2	.	.	PUNCT
cana-1116	444	1	11	11	NUM
cana-1116	444	2	,	,	PUNCT
cana-1116	444	3	433–459	433–459	NUM
cana-1116	444	4	,	,	PUNCT
cana-1116	444	5	2012	2012	NUM
cana-1116	444	6	.	.	PUNCT
cana-1116	445	1	[	[	X
cana-1116	445	2	33	33	NUM
cana-1116	445	3	]	]	X
cana-1116	445	4	naresh	naresh	PROPN
cana-1116	445	5	kumar	kumar	PROPN
cana-1116	445	6	jothi	jothi	PROPN
cana-1116	445	7	,	,	PUNCT
cana-1116	445	8	anusha	anusha	PROPN
cana-1116	445	9	muruganandham	muruganandham	PROPN
cana-1116	445	10	,	,	PUNCT
cana-1116	445	11	t.	t.	PROPN
cana-1116	445	12	stalin	stalin	PROPN
cana-1116	445	13	,	,	PUNCT
cana-1116	445	14	t.	t.	PROPN
cana-1116	445	15	and	and	CCONJ
cana-1116	445	16	senthil	senthil	PROPN
cana-1116	445	17	kumar	kumar	PROPN
cana-1116	445	18	dayalan	dayalan	PROPN
cana-1116	445	19	,	,	PUNCT
cana-1116	445	20	ecological	ecological	ADJ
cana-1116	445	21	dynamics	dynamic	NOUN
cana-1116	445	22	and	and	CCONJ
cana-1116	445	23	control	control	NOUN
cana-1116	445	24	strategies	strategy	NOUN
cana-1116	445	25	of	of	ADP
cana-1116	445	26	the	the	DET
cana-1116	445	27	feminine	feminine	ADJ
cana-1116	445	28	anopheles	anophele	NOUN
cana-1116	445	29	stephensi	stephensi	NOUN
cana-1116	445	30	using	use	VERB
cana-1116	445	31	volterra	volterra	NOUN
cana-1116	445	32	–	–	PUNCT
cana-1116	445	33	lyapunov	lyapunov	NOUN
cana-1116	445	34	function	function	NOUN
cana-1116	445	35	,	,	PUNCT
cana-1116	445	36	j.	j.	PROPN
cana-1116	445	37	oriental	oriental	PROPN
cana-1116	445	38	inst	inst	PROPN
cana-1116	445	39	.	.	PROPN
cana-1116	446	1	72	72	NUM
cana-1116	446	2	,	,	PUNCT
cana-1116	446	3	117	117	NUM
cana-1116	446	4	–	–	PUNCT
cana-1116	446	5	127	127	NUM
cana-1116	446	6	,	,	PUNCT
cana-1116	446	7	2023	2023	NUM
cana-1116	446	8	.	.	PUNCT
cana-1116	447	1	https://pubmed.ncbi.nlm.nih.gov/?term=onorato+im&cauthor_id=8596593	https://pubmed.ncbi.nlm.nih.gov/?term=onorato+im&cauthor_id=8596593	NOUN