id	sid	tid	token	lemma	pos
cana-810	1	1	communications	communication	NOUN
cana-810	1	2	on	on	ADP
cana-810	1	3	applied	apply	VERB
cana-810	1	4	nonlinear	nonlinear	ADJ
cana-810	1	5	analysis	analysis	NOUN
cana-810	1	6	issn	issn	NOUN
cana-810	1	7	:	:	PUNCT
cana-810	1	8	1074	1074	NUM
cana-810	1	9	-	-	PUNCT
cana-810	1	10	133x	133x	NUM
cana-810	1	11	vol	vol	NOUN
cana-810	1	12	31	31	NUM
cana-810	1	13	no	no	NOUN
cana-810	1	14	.	.	PUNCT
cana-810	2	1	3s	3s	NUM
cana-810	2	2	(	(	PUNCT
cana-810	2	3	2024	2024	NUM
cana-810	2	4	)	)	PUNCT
cana-810	2	5	559	559	NUM
cana-810	2	6	https://internationalpubls.co	https://internationalpubls.co	AUX
cana-810	2	7	m	m	AUX
cana-810	2	8	exploring	explore	VERB
cana-810	2	9	tuberculosis	tuberculosis	NOUN
cana-810	2	10	:	:	PUNCT
cana-810	2	11	a	a	DET
cana-810	2	12	theoretical	theoretical	ADJ
cana-810	2	13	framework	framework	NOUN
cana-810	2	14	for	for	ADP
cana-810	2	15	infection	infection	NOUN
cana-810	2	16	regulation	regulation	NOUN
cana-810	2	17	and	and	CCONJ
cana-810	2	18	eradication	eradication	NOUN
cana-810	2	19	naresh	naresh	PROPN
cana-810	2	20	kumar	kumar	PROPN
cana-810	2	21	jothi1	jothi1	PROPN
cana-810	2	22	,	,	PUNCT
cana-810	2	23	lakshmi	lakshmi	NOUN
cana-810	2	24	a.2	a.2	PUNCT
cana-810	2	25	,	,	PUNCT
cana-810	2	26	senthil	senthil	PROPN
cana-810	2	27	kumar	kumar	PROPN
cana-810	2	28	p3	p3	PROPN
cana-810	2	29	,	,	PUNCT
cana-810	2	30	selvakumari	selvakumari	PROPN
cana-810	2	31	r4	r4	PROPN
cana-810	2	32	1associate	1associate	NUM
cana-810	2	33	professor	professor	NOUN
cana-810	2	34	,	,	PUNCT
cana-810	2	35	department	department	NOUN
cana-810	2	36	of	of	ADP
cana-810	2	37	mathematics	mathematic	NOUN
cana-810	2	38	,	,	PUNCT
cana-810	2	39	vel	vel	PROPN
cana-810	2	40	tech	tech	PROPN
cana-810	2	41	rangarajan	rangarajan	PROPN
cana-810	2	42	dr	dr	PROPN
cana-810	2	43	.	.	PROPN
cana-810	2	44	sagunthala	sagunthala	PROPN
cana-810	2	45	r&d	r&d	PROPN
cana-810	2	46	institute	institute	PROPN
cana-810	2	47	of	of	ADP
cana-810	2	48	science	science	NOUN
cana-810	2	49	and	and	CCONJ
cana-810	2	50	technology	technology	NOUN
cana-810	2	51	,	,	PUNCT
cana-810	2	52	avadi	avadi	NOUN
cana-810	2	53	,	,	PUNCT
cana-810	2	54	chennai	chennai	PROPN
cana-810	2	55	,	,	PUNCT
cana-810	2	56	tamil	tamil	PROPN
cana-810	2	57	nadu	nadu	PROPN
cana-810	2	58	,	,	PUNCT
cana-810	2	59	india	india	PROPN
cana-810	2	60	.	.	PUNCT
cana-810	3	1	nareshsastra@yahoo.co.in1	nareshsastra@yahoo.co.in1	NUM
cana-810	3	2	2research	2research	NUM
cana-810	3	3	scholar	scholar	NOUN
cana-810	3	4	,	,	PUNCT
cana-810	3	5	department	department	NOUN
cana-810	3	6	of	of	ADP
cana-810	3	7	mathematics	mathematic	NOUN
cana-810	3	8	,	,	PUNCT
cana-810	3	9	vel	vel	PROPN
cana-810	3	10	tech	tech	PROPN
cana-810	3	11	rangarajan	rangarajan	PROPN
cana-810	3	12	dr	dr	PROPN
cana-810	3	13	.	.	PROPN
cana-810	3	14	sagunthala	sagunthala	PROPN
cana-810	3	15	r&d	r&d	PROPN
cana-810	3	16	institute	institute	PROPN
cana-810	3	17	of	of	ADP
cana-810	3	18	science	science	NOUN
cana-810	3	19	and	and	CCONJ
cana-810	3	20	technology	technology	NOUN
cana-810	3	21	,	,	PUNCT
cana-810	3	22	avadi	avadi	NOUN
cana-810	3	23	,	,	PUNCT
cana-810	3	24	chennai	chennai	PROPN
cana-810	3	25	,	,	PUNCT
cana-810	3	26	tamil	tamil	PROPN
cana-810	3	27	nadu	nadu	NOUN
cana-810	3	28	,	,	PUNCT
cana-810	3	29	india.bklakshmimadhesiya81199@gmail.com2	india.bklakshmimadhesiya81199@gmail.com2	NOUN
cana-810	3	30	3	3	NUM
cana-810	3	31	assistant	assistant	NOUN
cana-810	3	32	professor	professor	NOUN
cana-810	3	33	,	,	PUNCT
cana-810	3	34	department	department	NOUN
cana-810	3	35	of	of	ADP
cana-810	3	36	mathematics	mathematics	PROPN
cana-810	3	37	vel	vel	PROPN
cana-810	3	38	tech	tech	NOUN
cana-810	3	39	high	high	ADJ
cana-810	3	40	tech	tech	NOUN
cana-810	3	41	dr.rangarajan	dr.rangarajan	NOUN
cana-810	3	42	dr.sakunthalaengineering	dr.sakunthalaengineere	VERB
cana-810	3	43	college	college	NOUN
cana-810	3	44	,	,	PUNCT
cana-810	3	45	avadi	avadi	NOUN
cana-810	3	46	,	,	PUNCT
cana-810	3	47	chennai	chennai	PROPN
cana-810	3	48	,	,	PUNCT
cana-810	3	49	tamil	tamil	PROPN
cana-810	3	50	nadu	nadu	PROPN
cana-810	3	51	,	,	PUNCT
cana-810	3	52	india	india	PROPN
cana-810	3	53	,	,	PUNCT
cana-810	3	54	psenthil9159115957@gmail.com3	psenthil9159115957@gmail.com3	PROPN
cana-810	3	55	4	4	NUM
cana-810	3	56	assistant	assistant	NOUN
cana-810	3	57	professor	professor	NOUN
cana-810	3	58	,	,	PUNCT
cana-810	3	59	department	department	NOUN
cana-810	3	60	of	of	ADP
cana-810	3	61	mathematics	mathematic	NOUN
cana-810	3	62	,	,	PUNCT
cana-810	3	63	vel	vel	PROPN
cana-810	3	64	tech	tech	PROPN
cana-810	3	65	rangarajan	rangarajan	PROPN
cana-810	3	66	dr	dr	PROPN
cana-810	3	67	.	.	PROPN
cana-810	3	68	sagunthala	sagunthala	PROPN
cana-810	3	69	r&d	r&d	PROPN
cana-810	3	70	institute	institute	PROPN
cana-810	3	71	of	of	ADP
cana-810	3	72	science	science	NOUN
cana-810	3	73	and	and	CCONJ
cana-810	3	74	technology	technology	NOUN
cana-810	3	75	,	,	PUNCT
cana-810	3	76	avadi	avadi	NOUN
cana-810	3	77	,	,	PUNCT
cana-810	3	78	chennai	chennai	PROPN
cana-810	3	79	,	,	PUNCT
cana-810	3	80	tamil	tamil	PROPN
cana-810	3	81	nadu	nadu	PROPN
cana-810	3	82	,	,	PUNCT
cana-810	3	83	india	india	PROPN
cana-810	3	84	,	,	PUNCT
cana-810	3	85	ssuubbaa.kumari@gmail.com4	ssuubbaa.kumari@gmail.com4	NUM
cana-810	3	86	corresponding	corresponding	ADJ
cana-810	3	87	author	author	NOUN
cana-810	3	88	:	:	PUNCT
cana-810	3	89	nareshsastra@yahoo.co.in	nareshsastra@yahoo.co.in	PUNCT
cana-810	3	90	article	article	NOUN
cana-810	3	91	history	history	NOUN
cana-810	3	92	:	:	PUNCT
cana-810	3	93	received	receive	VERB
cana-810	3	94	:	:	PUNCT
cana-810	3	95	12	12	NUM
cana-810	3	96	-	-	PUNCT
cana-810	3	97	04	04	NUM
cana-810	3	98	-	-	PUNCT
cana-810	3	99	2024	2024	NUM
cana-810	3	100	revised	revise	VERB
cana-810	3	101	:	:	PUNCT
cana-810	3	102	30	30	NUM
cana-810	3	103	-	-	SYM
cana-810	3	104	05	05	NUM
cana-810	3	105	-	-	PUNCT
cana-810	3	106	2024	2024	NUM
cana-810	3	107	accepted	accept	VERB
cana-810	3	108	:	:	PUNCT
cana-810	3	109	18	18	NUM
cana-810	3	110	-	-	SYM
cana-810	3	111	06	06	NUM
cana-810	3	112	-	-	PUNCT
cana-810	3	113	2024	2024	NUM
cana-810	3	114	abstract	abstract	NOUN
cana-810	3	115	in	in	ADP
cana-810	3	116	this	this	DET
cana-810	3	117	paper	paper	NOUN
cana-810	3	118	we	we	PRON
cana-810	3	119	explored	explore	VERB
cana-810	3	120	the	the	DET
cana-810	3	121	study	study	NOUN
cana-810	3	122	of	of	ADP
cana-810	3	123	tuberculosis	tuberculosis	NOUN
cana-810	3	124	,	,	PUNCT
cana-810	3	125	throughout	throughout	ADP
cana-810	3	126	human	human	ADJ
cana-810	3	127	history	history	NOUN
cana-810	3	128	,	,	PUNCT
cana-810	3	129	tuberculosis	tuberculosis	NOUN
cana-810	3	130	(	(	PUNCT
cana-810	3	131	tb	tb	NOUN
cana-810	3	132	)	)	PUNCT
cana-810	3	133	has	have	AUX
cana-810	3	134	been	be	AUX
cana-810	3	135	a	a	DET
cana-810	3	136	persistent	persistent	ADJ
cana-810	3	137	challenge	challenge	NOUN
cana-810	3	138	due	due	ADP
cana-810	3	139	to	to	ADP
cana-810	3	140	its	its	PRON
cana-810	3	141	severe	severe	ADJ
cana-810	3	142	consequences	consequence	NOUN
cana-810	3	143	for	for	ADP
cana-810	3	144	society	society	NOUN
cana-810	3	145	.	.	PUNCT
cana-810	4	1	it	it	PRON
cana-810	4	2	is	be	AUX
cana-810	4	3	an	an	DET
cana-810	4	4	infectious	infectious	ADJ
cana-810	4	5	disease	disease	NOUN
cana-810	4	6	transmitted	transmit	VERB
cana-810	4	7	by	by	ADP
cana-810	4	8	mycobacterium	mycobacterium	NOUN
cana-810	4	9	tuberculosis	tuberculosis	NOUN
cana-810	4	10	(	(	PUNCT
cana-810	4	11	mt),more	mt),more	NOUN
cana-810	4	12	than	than	ADP
cana-810	4	13	150	150	NUM
cana-810	4	14	million	million	NUM
cana-810	4	15	years	year	NOUN
cana-810	4	16	ago	ago	ADV
cana-810	4	17	,	,	PUNCT
cana-810	4	18	it	it	PRON
cana-810	4	19	wasthought	wasthought	VERB
cana-810	4	20	to	to	PART
cana-810	4	21	have	have	AUX
cana-810	4	22	originated	originate	VERB
cana-810	4	23	from	from	ADP
cana-810	4	24	the	the	DET
cana-810	4	25	genus	genus	NOUN
cana-810	4	26	mycobacterium	mycobacterium	NOUN
cana-810	4	27	.	.	PUNCT
cana-810	5	1	our	our	PRON
cana-810	5	2	theoretical	theoretical	ADJ
cana-810	5	3	framework	framework	NOUN
cana-810	5	4	presents	present	VERB
cana-810	5	5	methods	method	NOUN
cana-810	5	6	for	for	ADP
cana-810	5	7	regulating	regulate	VERB
cana-810	5	8	and	and	CCONJ
cana-810	5	9	eradicating	eradicate	VERB
cana-810	5	10	tuberculosis	tuberculosis	NOUN
cana-810	5	11	infections	infection	NOUN
cana-810	5	12	.	.	PUNCT
cana-810	6	1	this	this	PRON
cana-810	6	2	has	have	AUX
cana-810	6	3	led	lead	VERB
cana-810	6	4	to	to	ADP
cana-810	6	5	the	the	DET
cana-810	6	6	compartmentalization	compartmentalization	NOUN
cana-810	6	7	of	of	ADP
cana-810	6	8	the	the	DET
cana-810	6	9	model	model	NOUN
cana-810	6	10	population	population	NOUN
cana-810	6	11	and	and	CCONJ
cana-810	6	12	the	the	DET
cana-810	6	13	analytical	analytical	ADJ
cana-810	6	14	solution	solution	NOUN
cana-810	6	15	of	of	ADP
cana-810	6	16	the	the	DET
cana-810	6	17	ensuing	ensue	VERB
cana-810	6	18	model	model	NOUN
cana-810	6	19	equations	equation	NOUN
cana-810	6	20	.	.	PUNCT
cana-810	7	1	to	to	PART
cana-810	7	2	validate	validate	VERB
cana-810	7	3	the	the	DET
cana-810	7	4	outcomes	outcome	NOUN
cana-810	7	5	of	of	ADP
cana-810	7	6	the	the	DET
cana-810	7	7	theoretical	theoretical	ADJ
cana-810	7	8	approach	approach	NOUN
cana-810	7	9	,	,	PUNCT
cana-810	7	10	a	a	DET
cana-810	7	11	numerical	numerical	ADJ
cana-810	7	12	simulation	simulation	NOUN
cana-810	7	13	has	have	AUX
cana-810	7	14	been	be	AUX
cana-810	7	15	deployed	deploy	VERB
cana-810	7	16	.	.	PUNCT
cana-810	8	1	this	this	DET
cana-810	8	2	model	model	NOUN
cana-810	8	3	carried	carry	VERB
cana-810	8	4	out	out	ADP
cana-810	8	5	six	six	NUM
cana-810	8	6	compartment	compartment	NOUN
cana-810	8	7	stage	stage	NOUN
cana-810	8	8	,	,	PUNCT
cana-810	8	9	susceptible	susceptible	ADJ
cana-810	8	10	,	,	PUNCT
cana-810	8	11	latent	latent	NOUN
cana-810	8	12	for	for	ADP
cana-810	8	13	a	a	DET
cana-810	8	14	short	short	ADJ
cana-810	8	15	time	time	NOUN
cana-810	8	16	period	period	NOUN
cana-810	8	17	and	and	CCONJ
cana-810	8	18	latent	latent	NOUN
cana-810	8	19	for	for	ADP
cana-810	8	20	long	long	ADJ
cana-810	8	21	time	time	NOUN
cana-810	8	22	period	period	NOUN
cana-810	8	23	,	,	PUNCT
cana-810	8	24	infected	infect	VERB
cana-810	8	25	in	in	ADP
cana-810	8	26	hospital	hospital	NOUN
cana-810	8	27	,	,	PUNCT
cana-810	8	28	random	random	ADJ
cana-810	8	29	infectedat	infectedat	NOUN
cana-810	8	30	public	public	ADJ
cana-810	8	31	placeand	placeand	NOUN
cana-810	8	32	the	the	DET
cana-810	8	33	recovered	recovered	ADJ
cana-810	8	34	class	class	NOUN
cana-810	8	35	.	.	PUNCT
cana-810	9	1	in	in	ADP
cana-810	9	2	this	this	DET
cana-810	9	3	model	model	NOUN
cana-810	9	4	we	we	PRON
cana-810	9	5	examined	examine	VERB
cana-810	9	6	disease	disease	NOUN
cana-810	9	7	free	free	ADJ
cana-810	9	8	equilibrium	equilibrium	NOUN
cana-810	9	9	points	point	NOUN
cana-810	9	10	(	(	PUNCT
cana-810	9	11	dfep	dfep	NOUN
cana-810	9	12	)	)	PUNCT
cana-810	9	13	,	,	PUNCT
cana-810	9	14	basic	basic	ADJ
cana-810	9	15	reproduction	reproduction	NOUN
cana-810	9	16	numberr_0	numberr_0	PRON
cana-810	9	17	.	.	PUNCT
cana-810	10	1	positive	positive	ADJ
cana-810	10	2	boundaries	boundary	NOUN
cana-810	10	3	solution	solution	NOUN
cana-810	10	4	is	be	AUX
cana-810	10	5	used	use	VERB
cana-810	10	6	to	to	PART
cana-810	10	7	describe	describe	VERB
cana-810	10	8	the	the	DET
cana-810	10	9	infection	infection	NOUN
cana-810	10	10	at	at	ADP
cana-810	10	11	particular	particular	ADJ
cana-810	10	12	stage	stage	NOUN
cana-810	10	13	.	.	PUNCT
cana-810	11	1	if	if	SCONJ
cana-810	11	2	r_0<1	r_0<1	PROPN
cana-810	11	3	,	,	PUNCT
cana-810	11	4	the	the	DET
cana-810	11	5	dfe	dfe	PROPN
cana-810	11	6	is	be	AUX
cana-810	11	7	locally	locally	ADV
cana-810	11	8	asymptotically	asymptotically	ADV
cana-810	11	9	stable	stable	ADJ
cana-810	11	10	,	,	PUNCT
cana-810	11	11	using	use	VERB
cana-810	11	12	jacobian	jacobian	ADJ
cana-810	11	13	matrix	matrix	NOUN
cana-810	11	14	weexplored	weexplore	VERB
cana-810	11	15	the	the	DET
cana-810	11	16	negative	negative	ADJ
cana-810	11	17	eigen	eigen	PROPN
cana-810	11	18	values.lyapunovfunction	values.lyapunovfunction	PROPN
cana-810	11	19	is	be	AUX
cana-810	11	20	used	use	VERB
cana-810	11	21	to	to	PART
cana-810	11	22	examined	examine	VERB
cana-810	11	23	the	the	DET
cana-810	11	24	global	global	ADJ
cana-810	11	25	stability	stability	NOUN
cana-810	11	26	of	of	ADP
cana-810	11	27	endemic	endemic	ADJ
cana-810	11	28	equilibrium	equilibrium	NOUN
cana-810	11	29	.	.	PUNCT
cana-810	12	1	we	we	PRON
cana-810	12	2	used	use	VERB
cana-810	12	3	carrying	carry	VERB
cana-810	12	4	out	out	ADP
cana-810	12	5	a	a	DET
cana-810	12	6	simulation	simulation	NOUN
cana-810	12	7	using	use	VERB
cana-810	12	8	random	random	ADJ
cana-810	12	9	data	datum	NOUN
cana-810	12	10	in	in	ADP
cana-810	12	11	a	a	DET
cana-810	12	12	selected	select	VERB
cana-810	12	13	region	region	NOUN
cana-810	12	14	,	,	PUNCT
cana-810	12	15	using	use	VERB
cana-810	12	16	random	random	ADJ
cana-810	12	17	values	value	NOUN
cana-810	12	18	in	in	ADP
cana-810	12	19	matlab	matlab	PROPN
cana-810	12	20	,	,	PUNCT
cana-810	12	21	to	to	PART
cana-810	12	22	simulate	simulate	VERB
cana-810	12	23	the	the	DET
cana-810	12	24	result	result	NOUN
cana-810	12	25	of	of	ADP
cana-810	12	26	the	the	DET
cana-810	12	27	model	model	NOUN
cana-810	12	28	.	.	PUNCT
cana-810	13	1	keywords	keyword	NOUN
cana-810	13	2	:	:	PUNCT
cana-810	13	3	tuberculosis	tuberculosis	NOUN
cana-810	13	4	,	,	PUNCT
cana-810	13	5	equilibrium	equilibrium	NOUN
cana-810	13	6	points	point	NOUN
cana-810	13	7	,	,	PUNCT
cana-810	13	8	basic	basic	ADJ
cana-810	13	9	reproduction	reproduction	NOUN
cana-810	13	10	number	number	NOUN
cana-810	13	11	,	,	PUNCT
cana-810	13	12	stability	stability	NOUN
cana-810	13	13	analysis	analysis	NOUN
cana-810	13	14	,	,	PUNCT
cana-810	13	15	jacobian	jacobian	ADJ
cana-810	13	16	matrix	matrix	NOUN
cana-810	13	17	,	,	PUNCT
cana-810	13	18	lyapunov	lyapunov	NOUN
cana-810	13	19	function	function	NOUN
cana-810	13	20	.	.	PUNCT
cana-810	14	1	1	1	X
cana-810	14	2	.	.	X
cana-810	14	3	introduction	introduction	NOUN
cana-810	14	4	a	a	DET
cana-810	14	5	comprehensive	comprehensive	ADJ
cana-810	14	6	history	history	NOUN
cana-810	14	7	of	of	ADP
cana-810	14	8	tuberculosis	tuberculosis	NOUN
cana-810	14	9	covers	cover	VERB
cana-810	14	10	every	every	DET
cana-810	14	11	detail	detail	NOUN
cana-810	14	12	,	,	PUNCT
cana-810	14	13	from	from	ADP
cana-810	14	14	the	the	DET
cana-810	14	15	disease	disease	NOUN
cana-810	14	16	's	's	PART
cana-810	14	17	origins	origin	NOUN
cana-810	14	18	to	to	ADP
cana-810	14	19	the	the	DET
cana-810	14	20	discovery	discovery	NOUN
cana-810	14	21	of	of	ADP
cana-810	14	22	treatments	treatment	NOUN
cana-810	14	23	and	and	CCONJ
cana-810	14	24	vaccination	vaccination	NOUN
cana-810	14	25	techniques	technique	NOUN
cana-810	14	26	,	,	PUNCT
cana-810	14	27	with	with	ADP
cana-810	14	28	the	the	DET
cana-810	14	29	objective	objective	NOUN
cana-810	14	30	reducing	reduce	VERB
cana-810	14	31	and	and	CCONJ
cana-810	14	32	controlling	control	VERB
cana-810	14	33	its	its	PRON
cana-810	14	34	effects	effect	NOUN
cana-810	14	35	.	.	PUNCT
cana-810	15	1	the	the	DET
cana-810	15	2	expressions	expression	NOUN
cana-810	15	3	"	"	PUNCT
cana-810	15	4	white	white	ADJ
cana-810	15	5	plague	plague	NOUN
cana-810	15	6	,	,	PUNCT
cana-810	15	7	"	"	PUNCT
cana-810	15	8	"	"	PUNCT
cana-810	15	9	phthisis	phthisis	NOUN
cana-810	15	10	,	,	PUNCT
cana-810	15	11	"	"	PUNCT
cana-810	15	12	and	and	CCONJ
cana-810	15	13	"	"	PUNCT
cana-810	15	14	consumption	consumption	NOUN
cana-810	15	15	"	"	PUNCT
cana-810	15	16	have	have	AUX
cana-810	15	17	been	be	AUX
cana-810	15	18	all	all	PRON
cana-810	15	19	used	use	VERB
cana-810	15	20	to	to	PART
cana-810	15	21	describe	describe	VERB
cana-810	15	22	tuberculosis	tuberculosis	NOUN
cana-810	15	23	over	over	ADP
cana-810	15	24	history	history	NOUN
cana-810	15	25	.	.	PUNCT
cana-810	16	1	the	the	DET
cana-810	16	2	majority	majority	NOUN
cana-810	16	3	of	of	ADP
cana-810	16	4	researchers	researcher	NOUN
cana-810	16	5	agree	agree	VERB
cana-810	16	6	that	that	SCONJ
cana-810	16	7	earlier	early	ADV
cana-810	16	8	,	,	PUNCT
cana-810	16	9	earliest	early	ADJ
cana-810	16	10	species	species	NOUN
cana-810	16	11	communications	communication	NOUN
cana-810	16	12	on	on	ADP
cana-810	16	13	applied	apply	VERB
cana-810	16	14	nonlinear	nonlinear	ADJ
cana-810	16	15	analysis	analysis	NOUN
cana-810	16	16	issn	issn	NOUN
cana-810	16	17	:	:	PUNCT
cana-810	16	18	1074	1074	NUM
cana-810	16	19	-	-	PUNCT
cana-810	16	20	133x	133x	NUM
cana-810	16	21	vol	vol	NOUN
cana-810	16	22	31	31	NUM
cana-810	16	23	no	no	NOUN
cana-810	16	24	.	.	PUNCT
cana-810	17	1	3s	3s	NUM
cana-810	17	2	(	(	PUNCT
cana-810	17	3	2024	2024	NUM
cana-810	17	4	)	)	PUNCT
cana-810	17	5	560	560	NUM
cana-810	17	6	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	17	7	m	m	NOUN
cana-810	17	8	within	within	ADP
cana-810	17	9	the	the	DET
cana-810	17	10	same	same	ADJ
cana-810	17	11	genus	genus	NOUN
cana-810	17	12	,	,	PUNCT
cana-810	17	13	mycobacterium	mycobacterium	PROPN
cana-810	17	14	,	,	PUNCT
cana-810	17	15	are	be	AUX
cana-810	17	16	the	the	DET
cana-810	17	17	causes	cause	NOUN
cana-810	17	18	of	of	ADP
cana-810	17	19	the	the	DET
cana-810	17	20	causative	causative	ADJ
cana-810	17	21	agent	agent	NOUN
cana-810	17	22	,	,	PUNCT
cana-810	17	23	mycobacterium	mycobacterium	NOUN
cana-810	17	24	tuberculosis	tuberculosis	NOUN
cana-810	17	25	,	,	PUNCT
cana-810	17	26	that	that	PRON
cana-810	17	27	causes	cause	VERB
cana-810	17	28	these	these	DET
cana-810	17	29	diseases	disease	NOUN
cana-810	18	1	[	[	X
cana-810	18	2	1	1	NUM
cana-810	18	3	-	-	SYM
cana-810	18	4	4	4	NUM
cana-810	18	5	]	]	PUNCT
cana-810	18	6	.	.	PUNCT
cana-810	19	1	the	the	DET
cana-810	19	2	complex	complex	NOUN
cana-810	19	3	of	of	ADP
cana-810	19	4	mycobacterium	mycobacterium	NOUN
cana-810	19	5	tuberculosis	tuberculosis	NOUN
cana-810	19	6	has	have	AUX
cana-810	19	7	proven	prove	VERB
cana-810	19	8	that	that	SCONJ
cana-810	19	9	a	a	DET
cana-810	19	10	pathogen	pathogen	NOUN
cana-810	19	11	particular	particular	ADJ
cana-810	19	12	to	to	ADP
cana-810	19	13	human	human	ADJ
cana-810	19	14	beings	being	NOUN
cana-810	19	15	witnessed	witness	VERB
cana-810	19	16	a	a	DET
cana-810	19	17	population	population	NOUN
cana-810	19	18	shortage	shortage	NOUN
cana-810	19	19	and	and	CCONJ
cana-810	19	20	was	be	AUX
cana-810	19	21	the	the	DET
cana-810	19	22	complex	complex	NOUN
cana-810	19	23	’s	’s	PART
cana-810	19	24	latest	late	ADJ
cana-810	19	25	common	common	ADJ
cana-810	19	26	ancestor	ancestor	NOUN
cana-810	19	27	.	.	PUNCT
cana-810	20	1	according	accord	VERB
cana-810	20	2	to	to	ADP
cana-810	20	3	an	an	DET
cana-810	20	4	investigation	investigation	NOUN
cana-810	20	5	of	of	ADP
cana-810	20	6	mycobacterial	mycobacterial	ADJ
cana-810	20	7	interspersed	intersperse	VERB
cana-810	20	8	recurrent	recurrent	ADJ
cana-810	20	9	units	unit	NOUN
cana-810	20	10	,	,	PUNCT
cana-810	20	11	the	the	DET
cana-810	20	12	bottleneck	bottleneck	NOUN
cana-810	20	13	in	in	ADP
cana-810	20	14	growth	growth	NOUN
cana-810	20	15	has	have	AUX
cana-810	20	16	been	be	AUX
cana-810	20	17	dated	date	VERB
cana-810	20	18	to	to	PART
cana-810	20	19	approximate	approximate	VERB
cana-810	20	20	40,000	40,000	NUM
cana-810	20	21	years	year	NOUN
cana-810	20	22	.	.	PUNCT
cana-810	21	1	this	this	DET
cana-810	21	2	period	period	NOUN
cana-810	21	3	corresponds	correspond	VERB
cana-810	21	4	to	to	ADP
cana-810	21	5	the	the	DET
cana-810	21	6	era	era	NOUN
cana-810	21	7	shortly	shortly	ADV
cana-810	21	8	after	after	ADP
cana-810	21	9	homo	homo	NOUN
cana-810	21	10	sapiens	sapiens	PRON
cana-810	21	11	left	leave	VERB
cana-810	21	12	africa	africa	PROPN
cana-810	22	1	[	[	X
cana-810	22	2	5	5	NUM
cana-810	22	3	-	-	SYM
cana-810	22	4	8	8	NUM
cana-810	22	5	]	]	PUNCT
cana-810	22	6	.	.	PUNCT
cana-810	23	1	the	the	DET
cana-810	23	2	mycobacterium	mycobacterium	NOUN
cana-810	23	3	bov	bov	NOUN
cana-810	23	4	is	be	AUX
cana-810	23	5	lineage	lineage	NOUN
cana-810	23	6	was	be	AUX
cana-810	23	7	also	also	ADV
cana-810	23	8	dated	date	VERB
cana-810	23	9	by	by	ADP
cana-810	23	10	the	the	DET
cana-810	23	11	analysis	analysis	NOUN
cana-810	23	12	of	of	ADP
cana-810	23	13	mycobacterial	mycobacterial	ADJ
cana-810	23	14	interspersed	intersperse	VERB
cana-810	23	15	repetitive	repetitive	ADJ
cana-810	23	16	units	unit	NOUN
cana-810	23	17	to	to	PART
cana-810	23	18	have	have	AUX
cana-810	23	19	begun	begin	VERB
cana-810	23	20	to	to	PART
cana-810	23	21	disperse	disperse	VERB
cana-810	23	22	about	about	ADP
cana-810	23	23	6,000	6,000	NUM
cana-810	23	24	years	year	NOUN
cana-810	23	25	.	.	PUNCT
cana-810	24	1	which	which	PRON
cana-810	24	2	may	may	AUX
cana-810	24	3	have	have	VERB
cana-810	24	4	something	something	PRON
cana-810	24	5	to	to	PART
cana-810	24	6	do	do	VERB
cana-810	24	7	with	with	ADP
cana-810	24	8	early	early	ADJ
cana-810	24	9	farming	farming	NOUN
cana-810	24	10	and	and	CCONJ
cana-810	24	11	domestication	domestication	NOUN
cana-810	24	12	of	of	ADP
cana-810	24	13	livestock	livestock	NOUN
cana-810	24	14	.	.	PUNCT
cana-810	25	1	due	due	ADP
cana-810	25	2	to	to	ADP
cana-810	25	3	mycobacterium	mycobacterium	NOUN
cana-810	25	4	tuberculosis	tuberculosis	NOUN
cana-810	25	5	(	(	PUNCT
cana-810	25	6	mt	mt	PROPN
cana-810	25	7	)	)	PUNCT
cana-810	25	8	,	,	PUNCT
cana-810	25	9	which	which	PRON
cana-810	25	10	generally	generally	ADV
cana-810	25	11	persists	persist	VERB
cana-810	25	12	over	over	ADP
cana-810	25	13	life	life	NOUN
cana-810	25	14	and	and	CCONJ
cana-810	25	15	causes	cause	VERB
cana-810	25	16	tubercles	tubercle	NOUN
cana-810	25	17	to	to	PART
cana-810	25	18	emerge	emerge	VERB
cana-810	25	19	in	in	ADP
cana-810	25	20	different	different	ADJ
cana-810	25	21	areas	area	NOUN
cana-810	25	22	of	of	ADP
cana-810	25	23	the	the	DET
cana-810	25	24	body	body	NOUN
cana-810	25	25	,	,	PUNCT
cana-810	25	26	tuberculosis	tuberculosis	NOUN
cana-810	25	27	(	(	PUNCT
cana-810	25	28	tb	tb	NOUN
cana-810	25	29	)	)	PUNCT
cana-810	25	30	is	be	AUX
cana-810	25	31	an	an	DET
cana-810	25	32	infectious	infectious	ADJ
cana-810	25	33	disease	disease	NOUN
cana-810	25	34	that	that	PRON
cana-810	25	35	is	be	AUX
cana-810	25	36	highly	highly	ADV
cana-810	25	37	contagious	contagious	ADJ
cana-810	25	38	.	.	PUNCT
cana-810	26	1	with	with	ADP
cana-810	26	2	over	over	ADP
cana-810	26	3	2	2	NUM
cana-810	26	4	billion	billion	NUM
cana-810	26	5	cases	case	NOUN
cana-810	26	6	of	of	ADP
cana-810	26	7	tb	tb	ADP
cana-810	26	8	each	each	DET
cana-810	26	9	year	year	NOUN
cana-810	26	10	and	and	CCONJ
cana-810	26	11	over	over	ADP
cana-810	26	12	70,000	70,000	NUM
cana-810	26	13	years	year	NOUN
cana-810	26	14	of	of	ADP
cana-810	26	15	survival	survival	NOUN
cana-810	26	16	,	,	PUNCT
cana-810	26	17	mt	mt	PROPN
cana-810	26	18	has	have	VERB
cana-810	26	19	extremely	extremely	ADV
cana-810	26	20	ancient	ancient	ADJ
cana-810	26	21	origins	origin	NOUN
cana-810	26	22	.	.	PUNCT
cana-810	27	1	nearly	nearly	ADV
cana-810	27	2	a	a	DET
cana-810	27	3	third	third	NOUN
cana-810	27	4	of	of	ADP
cana-810	27	5	the	the	DET
cana-810	27	6	human	human	ADJ
cana-810	27	7	population	population	NOUN
cana-810	27	8	worldwide	worldwide	ADV
cana-810	27	9	is	be	AUX
cana-810	27	10	at	at	ADP
cana-810	27	11	increased	increase	VERB
cana-810	27	12	risk	risk	NOUN
cana-810	27	13	of	of	ADP
cana-810	27	14	developing	develop	VERB
cana-810	27	15	an	an	DET
cana-810	27	16	active	active	ADJ
cana-810	27	17	infection	infection	NOUN
cana-810	27	18	as	as	ADP
cana-810	27	19	bearers	bearer	NOUN
cana-810	27	20	of	of	ADP
cana-810	27	21	the	the	DET
cana-810	27	22	tb	tb	NOUN
cana-810	27	23	bacillus	bacillus	NOUN
cana-810	27	24	.	.	PUNCT
cana-810	28	1	furthermore	furthermore	ADV
cana-810	28	2	,	,	PUNCT
cana-810	28	3	there	there	PRON
cana-810	28	4	are	be	VERB
cana-810	28	5	10	10	NUM
cana-810	28	6	million	million	NUM
cana-810	28	7	new	new	ADJ
cana-810	28	8	cases	case	NOUN
cana-810	28	9	of	of	ADP
cana-810	28	10	tb	tb	ADP
cana-810	28	11	each	each	DET
cana-810	28	12	year	year	NOUN
cana-810	29	1	[	[	X
cana-810	29	2	9	9	NUM
cana-810	29	3	-	-	SYM
cana-810	29	4	10].over	10].over	NUM
cana-810	29	5	the	the	DET
cana-810	29	6	centuries	century	NOUN
cana-810	29	7	,	,	PUNCT
cana-810	29	8	tuberculosis	tuberculosis	INTJ
cana-810	29	9	(	(	PUNCT
cana-810	29	10	tb	tb	NOUN
cana-810	29	11	)	)	PUNCT
cana-810	29	12	has	have	AUX
cana-810	29	13	been	be	AUX
cana-810	29	14	linked	link	VERB
cana-810	29	15	to	to	ADP
cana-810	29	16	a	a	DET
cana-810	29	17	high	high	ADJ
cana-810	29	18	death	death	NOUN
cana-810	29	19	rate	rate	NOUN
cana-810	29	20	.	.	PUNCT
cana-810	30	1	at	at	ADP
cana-810	30	2	present	present	ADJ
cana-810	30	3	,	,	PUNCT
cana-810	30	4	as	as	SCONJ
cana-810	30	5	the	the	DET
cana-810	30	6	second	second	ADV
cana-810	30	7	-	-	PUNCT
cana-810	30	8	most	most	ADV
cana-810	30	9	prevalent	prevalent	ADJ
cana-810	30	10	infectious	infectious	ADJ
cana-810	30	11	disease	disease	NOUN
cana-810	30	12	after	after	ADP
cana-810	30	13	hiv	hiv	PROPN
cana-810	30	14	roughly	roughly	ADV
cana-810	30	15	1.4	1.4	NUM
cana-810	30	16	million	million	NUM
cana-810	30	17	deaths	death	NOUN
cana-810	30	18	are	be	AUX
cana-810	30	19	attributed	attribute	VERB
cana-810	30	20	to	to	ADP
cana-810	30	21	tb.neolithic	tb.neolithic	ADJ
cana-810	30	22	remains	remain	NOUN
cana-810	30	23	of	of	ADP
cana-810	30	24	humans	human	NOUN
cana-810	30	25	contain	contain	VERB
cana-810	30	26	research	research	NOUN
cana-810	30	27	on	on	ADP
cana-810	30	28	bacterial	bacterial	ADJ
cana-810	30	29	infections	infection	NOUN
cana-810	30	30	.	.	PUNCT
cana-810	31	1	a	a	DET
cana-810	31	2	500,000	500,000	NUM
cana-810	31	3	-	-	PUNCT
cana-810	31	4	year	year	NOUN
cana-810	31	5	-	-	PUNCT
cana-810	31	6	old	old	ADJ
cana-810	31	7	homo	homo	NOUN
cana-810	31	8	erectus	erectus	VERB
cana-810	31	9	fossil	fossil	NOUN
cana-810	31	10	fuel	fuel	NOUN
cana-810	31	11	has	have	AUX
cana-810	31	12	also	also	ADV
cana-810	31	13	supposedly	supposedly	ADV
cana-810	31	14	been	be	AUX
cana-810	31	15	determined	determine	VERB
cana-810	31	16	to	to	PART
cana-810	31	17	have	have	VERB
cana-810	31	18	tuberculosis	tuberculosis	NOUN
cana-810	31	19	-	-	PUNCT
cana-810	31	20	like	like	ADJ
cana-810	31	21	inflammation	inflammation	NOUN
cana-810	31	22	;	;	PUNCT
cana-810	31	23	nevertheless	nevertheless	ADV
cana-810	31	24	,	,	PUNCT
cana-810	31	25	this	this	DET
cana-810	31	26	conclusion	conclusion	NOUN
cana-810	31	27	is	be	AUX
cana-810	31	28	debatable	debatable	ADJ
cana-810	31	29	.	.	PUNCT
cana-810	32	1	the	the	DET
cana-810	32	2	scriptures	scripture	NOUN
cana-810	32	3	of	of	ADP
cana-810	32	4	the	the	DET
cana-810	32	5	vedas	vedas	PROPN
cana-810	32	6	contain	contain	VERB
cana-810	32	7	the	the	DET
cana-810	32	8	earliest	early	ADJ
cana-810	32	9	mentions	mention	NOUN
cana-810	32	10	of	of	ADP
cana-810	32	11	tuberculosis	tuberculosis	NOUN
cana-810	32	12	in	in	ADP
cana-810	32	13	non	non	ADJ
cana-810	32	14	-	-	ADJ
cana-810	32	15	european	european	ADJ
cana-810	32	16	civilization	civilization	NOUN
cana-810	32	17	.	.	PUNCT
cana-810	33	1	the	the	DET
cana-810	33	2	disease	disease	NOUN
cana-810	33	3	is	be	AUX
cana-810	33	4	referred	refer	VERB
cana-810	33	5	to	to	ADP
cana-810	33	6	as	as	ADP
cana-810	33	7	yaksma	yaksma	NOUN
cana-810	33	8	in	in	ADP
cana-810	33	9	the	the	DET
cana-810	33	10	rigveda	rigveda	NOUN
cana-810	33	11	,	,	PUNCT
cana-810	33	12	which	which	PRON
cana-810	33	13	dates	date	VERB
cana-810	33	14	back	back	ADV
cana-810	33	15	to	to	ADP
cana-810	33	16	1500	1500	NUM
cana-810	33	17	bc	bc	PROPN
cana-810	34	1	[	[	PUNCT
cana-810	34	2	11	11	NUM
cana-810	34	3	-	-	SYM
cana-810	34	4	14].it	14].it	NUM
cana-810	34	5	is	be	AUX
cana-810	34	6	referred	refer	VERB
cana-810	34	7	to	to	ADP
cana-810	34	8	as	as	ADP
cana-810	34	9	balasa	balasa	NOUN
cana-810	34	10	in	in	ADP
cana-810	34	11	the	the	DET
cana-810	34	12	atharvaveda	atharvaveda	NOUN
cana-810	34	13	.	.	PUNCT
cana-810	35	1	this	this	PRON
cana-810	35	2	is	be	AUX
cana-810	35	3	the	the	DET
cana-810	35	4	first	first	ADJ
cana-810	35	5	consideration	consideration	NOUN
cana-810	35	6	of	of	ADP
cana-810	35	7	scrofula	scrofula	NOUN
cana-810	35	8	found	find	VERB
cana-810	35	9	in	in	ADP
cana-810	35	10	the	the	DET
cana-810	35	11	atharvaveda	atharvaveda	NOUN
cana-810	35	12	.	.	PUNCT
cana-810	36	1	around	around	ADV
cana-810	36	2	600	600	NUM
cana-810	36	3	bc	bc	PROPN
cana-810	36	4	,	,	PUNCT
cana-810	37	1	the	the	DET
cana-810	37	2	book	book	NOUN
cana-810	37	3	sushruta	sushruta	PROPN
cana-810	37	4	samhita	samhita	PROPN
cana-810	37	5	was	be	AUX
cana-810	37	6	composed	compose	VERB
cana-810	37	7	.	.	PUNCT
cana-810	38	1	it	it	PRON
cana-810	38	2	recommends	recommend	VERB
cana-810	38	3	breast	breast	NOUN
cana-810	38	4	milk	milk	NOUN
cana-810	38	5	as	as	ADV
cana-810	38	6	well	well	ADV
cana-810	38	7	as	as	ADP
cana-810	38	8	different	different	ADJ
cana-810	38	9	meat	meat	NOUN
cana-810	38	10	products	product	NOUN
cana-810	38	11	,	,	PUNCT
cana-810	38	12	alcoholic	alcoholic	ADJ
cana-810	38	13	beverages	beverage	NOUN
cana-810	38	14	,	,	PUNCT
cana-810	38	15	and	and	CCONJ
cana-810	38	16	rest	rest	VERB
cana-810	38	17	to	to	PART
cana-810	38	18	treat	treat	VERB
cana-810	38	19	the	the	DET
cana-810	38	20	illness	illness	NOUN
cana-810	38	21	.	.	PUNCT
cana-810	39	1	those	those	PRON
cana-810	39	2	impacted	impact	VERB
cana-810	39	3	have	have	AUX
cana-810	39	4	been	be	AUX
cana-810	39	5	urged	urge	VERB
cana-810	39	6	to	to	PART
cana-810	39	7	relocate	relocate	VERB
cana-810	39	8	to	to	ADP
cana-810	39	9	higher	high	ADJ
cana-810	39	10	altitudes	altitude	NOUN
cana-810	39	11	by	by	ADP
cana-810	39	12	the	the	DET
cana-810	39	13	yajurveda	yajurveda	NOUN
cana-810	39	14	.	.	PUNCT
cana-810	40	1	benjamin	benjamin	PROPN
cana-810	40	2	marten	marten	PROPN
cana-810	40	3	suggested	suggest	VERB
cana-810	40	4	in	in	ADP
cana-810	40	5	anew	anew	ADJ
cana-810	40	6	theory	theory	NOUN
cana-810	40	7	of	of	ADP
cana-810	40	8	the	the	DET
cana-810	40	9	consumption	consumption	NOUN
cana-810	40	10	more	more	ADV
cana-810	40	11	particularly	particularly	ADV
cana-810	40	12	of	of	ADP
cana-810	40	13	phthisis	phthisis	NOUN
cana-810	40	14	or	or	CCONJ
cana-810	40	15	the	the	DET
cana-810	40	16	consumption	consumption	NOUN
cana-810	40	17	of	of	ADP
cana-810	40	18	the	the	DET
cana-810	40	19	pulmonary	pulmonary	ADJ
cana-810	40	20	arteries	artery	NOUN
cana-810	40	21	in	in	ADP
cana-810	40	22	1720	1720	NUM
cana-810	40	23	that	that	PRON
cana-810	40	24	animalcule	animalcule	VERB
cana-810	40	25	or	or	CCONJ
cana-810	40	26	very	very	ADV
cana-810	40	27	tiny	tiny	ADJ
cana-810	40	28	microorganisms	microorganism	NOUN
cana-810	40	29	that	that	PRON
cana-810	40	30	are	be	AUX
cana-810	40	31	able	able	ADJ
cana-810	40	32	to	to	PART
cana-810	40	33	survive	survive	VERB
cana-810	40	34	in	in	ADP
cana-810	40	35	an	an	DET
cana-810	40	36	entirely	entirely	ADV
cana-810	40	37	novel	novel	ADJ
cana-810	40	38	body	body	NOUN
cana-810	40	39	,	,	PUNCT
cana-810	40	40	had	have	AUX
cana-810	40	41	been	be	AUX
cana-810	40	42	the	the	DET
cana-810	40	43	source	source	NOUN
cana-810	40	44	of	of	ADP
cana-810	40	45	tuberculosis	tuberculosis	NOUN
cana-810	40	46	(	(	PUNCT
cana-810	40	47	similar	similar	ADJ
cana-810	40	48	to	to	ADP
cana-810	40	49	the	the	DET
cana-810	40	50	ones	one	NOUN
cana-810	40	51	that	that	PRON
cana-810	40	52	were	be	AUX
cana-810	40	53	identified	identify	VERB
cana-810	40	54	by	by	ADP
cana-810	40	55	anton	anton	PROPN
cana-810	40	56	van	van	PROPN
cana-810	40	57	leeuwenhoek	leeuwenhoek	PROPN
cana-810	40	58	in	in	ADP
cana-810	40	59	1695[15	1695[15	NUM
cana-810	40	60	-	-	SYM
cana-810	40	61	18	18	NUM
cana-810	40	62	]	]	PUNCT
cana-810	40	63	.	.	PUNCT
cana-810	41	1	robert	robert	PROPN
cana-810	41	2	koch	koch	PROPN
cana-810	41	3	had	have	VERB
cana-810	41	4	to	to	PART
cana-810	41	5	wait	wait	VERB
cana-810	41	6	an	an	DET
cana-810	41	7	additional	additional	ADJ
cana-810	41	8	162	162	NUM
cana-810	41	9	years	year	NOUN
cana-810	41	10	to	to	PART
cana-810	41	11	prove	prove	VERB
cana-810	41	12	the	the	DET
cana-810	41	13	theory	theory	NOUN
cana-810	41	14	's	's	PART
cana-810	41	15	reliability	reliability	NOUN
cana-810	41	16	after	after	SCONJ
cana-810	41	17	it	it	PRON
cana-810	41	18	was	be	AUX
cana-810	41	19	categorically	categorically	ADV
cana-810	41	20	rejected	reject	VERB
cana-810	41	21	.	.	PUNCT
cana-810	42	1	the	the	DET
cana-810	42	2	initial	initial	ADJ
cana-810	42	3	medical	medical	ADJ
cana-810	42	4	description	description	NOUN
cana-810	42	5	of	of	ADP
cana-810	42	6	tuberculosis	tuberculosis	NOUN
cana-810	42	7	meningitis	meningitis	NOUN
cana-810	42	8	was	be	AUX
cana-810	42	9	given	give	VERB
cana-810	42	10	by	by	ADP
cana-810	42	11	robert	robert	PROPN
cana-810	42	12	why	why	SCONJ
cana-810	42	13	in	in	ADP
cana-810	42	14	1768	1768	NUM
cana-810	42	15	and	and	CCONJ
cana-810	42	16	the	the	DET
cana-810	42	17	vertebral	vertebral	ADJ
cana-810	42	18	lesions	lesion	NOUN
cana-810	42	19	that	that	PRON
cana-810	42	20	bear	bear	VERB
cana-810	42	21	the	the	DET
cana-810	42	22	name	name	NOUN
cana-810	42	23	of	of	ADP
cana-810	42	24	percivall	percivall	PROPN
cana-810	42	25	pott	pott	PROPN
cana-810	42	26	,	,	PUNCT
cana-810	42	27	an	an	DET
cana-810	42	28	english	english	ADJ
cana-810	42	29	surgeon	surgeon	NOUN
cana-810	42	30	,	,	PUNCT
cana-810	42	31	were	be	AUX
cana-810	42	32	first	first	ADV
cana-810	42	33	described	describe	VERB
cana-810	42	34	in	in	ADP
cana-810	42	35	1779	1779	NUM
cana-810	42	36	.	.	PUNCT
cana-810	43	1	the	the	DET
cana-810	43	2	percussion	percussion	NOUN
cana-810	43	3	technique	technique	NOUN
cana-810	43	4	for	for	ADP
cana-810	43	5	diagnosing	diagnose	VERB
cana-810	43	6	tuberculosis	tuberculosis	NOUN
cana-810	43	7	was	be	AUX
cana-810	43	8	created	create	VERB
cana-810	43	9	in	in	ADP
cana-810	43	10	1761	1761	NUM
cana-810	43	11	by	by	ADP
cana-810	43	12	the	the	DET
cana-810	43	13	austrian	austrian	ADJ
cana-810	43	14	physician	physician	NOUN
cana-810	43	15	leopold	leopold	PROPN
cana-810	43	16	auen	auen	PROPN
cana-810	43	17	brugger	brugger	PROPN
cana-810	43	18	.	.	PUNCT
cana-810	44	1	it	it	PRON
cana-810	44	2	was	be	AUX
cana-810	44	3	discovered	discover	VERB
cana-810	44	4	again	again	ADV
cana-810	44	5	in	in	ADP
cana-810	44	6	1797	1797	NUM
cana-810	44	7	by	by	ADP
cana-810	44	8	jean	jean	PROPN
cana-810	44	9	-	-	PUNCT
cana-810	44	10	nicolas	nicolas	PROPN
cana-810	44	11	corv	corv	PROPN
cana-810	44	12	is	be	AUX
cana-810	44	13	art	art	NOUN
cana-810	44	14	of	of	ADP
cana-810	44	15	france	france	PROPN
cana-810	44	16	.	.	PUNCT
cana-810	45	1	corv	corv	PROPN
cana-810	45	2	is	be	AUX
cana-810	45	3	art	art	NOUN
cana-810	45	4	found	find	VERB
cana-810	45	5	it	it	PRON
cana-810	45	6	informative	informative	ADJ
cana-810	45	7	and	and	CCONJ
cana-810	45	8	transformed	transform	VERB
cana-810	45	9	into	into	ADP
cana-810	45	10	french	french	NOUN
cana-810	45	11	so	so	SCONJ
cana-810	45	12	that	that	SCONJ
cana-810	45	13	the	the	DET
cana-810	45	14	academic	academic	ADJ
cana-810	45	15	community	community	NOUN
cana-810	45	16	was	be	AUX
cana-810	45	17	able	able	ADJ
cana-810	45	18	to	to	PART
cana-810	45	19	read	read	VERB
cana-810	45	20	it	it	PRON
cana-810	45	21	.	.	PUNCT
cana-810	46	1	tuberculosis	tuberculosis	INTJ
cana-810	46	2	(	(	PUNCT
cana-810	46	3	tb	tb	NOUN
cana-810	46	4	)	)	PUNCT
cana-810	46	5	developed	develop	VERB
cana-810	46	6	into	into	ADP
cana-810	46	7	an	an	DET
cana-810	46	8	epidemic	epidemic	NOUN
cana-810	46	9	throughout	throughout	ADP
cana-810	46	10	europe	europe	PROPN
cana-810	46	11	in	in	ADP
cana-810	46	12	the	the	DET
cana-810	46	13	18th	18th	ADJ
cana-810	46	14	and	and	CCONJ
cana-810	46	15	19th	19th	ADJ
cana-810	46	16	centuries	century	NOUN
cana-810	46	17	,	,	PUNCT
cana-810	46	18	with	with	ADP
cana-810	46	19	a	a	DET
cana-810	46	20	seasonal	seasonal	ADJ
cana-810	46	21	pattern	pattern	NOUN
cana-810	46	22	[	[	X
cana-810	46	23	19	19	NUM
cana-810	46	24	-	-	SYM
cana-810	46	25	21	21	NUM
cana-810	46	26	]	]	PUNCT
cana-810	46	27	.	.	PUNCT
cana-810	47	1	as	as	ADV
cana-810	47	2	many	many	ADJ
cana-810	47	3	as	as	ADP
cana-810	47	4	900	900	NUM
cana-810	47	5	people	people	NOUN
cana-810	47	6	died	die	VERB
cana-810	47	7	from	from	ADP
cana-810	47	8	tuberculosis	tuberculosis	NOUN
cana-810	47	9	(	(	PUNCT
cana-810	47	10	tb	tb	NOUN
cana-810	47	11	)	)	PUNCT
cana-810	47	12	for	for	ADP
cana-810	47	13	every	every	DET
cana-810	47	14	100,000	100,000	NUM
cana-810	47	15	people	people	NOUN
cana-810	47	16	in	in	ADP
cana-810	47	17	the	the	DET
cana-810	47	18	western	western	ADJ
cana-810	47	19	part	part	NOUN
cana-810	47	20	of	of	ADP
cana-810	47	21	europe	europe	PROPN
cana-810	47	22	in	in	ADP
cana-810	47	23	the	the	DET
cana-810	47	24	18th	18th	ADJ
cana-810	47	25	century	century	NOUN
cana-810	47	26	,	,	PUNCT
cana-810	47	27	which	which	PRON
cana-810	47	28	includes	include	VERB
cana-810	47	29	cities	city	NOUN
cana-810	47	30	like	like	ADP
cana-810	47	31	hamburg	hamburg	PROPN
cana-810	47	32	,	,	PUNCT
cana-810	47	33	the	the	DET
cana-810	47	34	swedish	swedish	ADJ
cana-810	47	35	city	city	NOUN
cana-810	47	36	of	of	ADP
cana-810	47	37	stockholm	stockholm	PROPN
cana-810	47	38	and	and	CCONJ
cana-810	47	39	the	the	DET
cana-810	47	40	city	city	NOUN
cana-810	47	41	of	of	ADP
cana-810	47	42	london	london	PROPN
cana-810	47	43	.	.	PUNCT
cana-810	48	1	the	the	DET
cana-810	48	2	mortality	mortality	NOUN
cana-810	48	3	rate	rate	NOUN
cana-810	48	4	in	in	ADP
cana-810	48	5	north	north	PROPN
cana-810	48	6	america	america	PROPN
cana-810	48	7	was	be	AUX
cana-810	48	8	similar	similar	ADJ
cana-810	48	9	.	.	PUNCT
cana-810	49	1	mortality	mortality	NOUN
cana-810	49	2	data	datum	NOUN
cana-810	49	3	in	in	ADP
cana-810	49	4	the	the	DET
cana-810	49	5	united	united	PROPN
cana-810	49	6	kingdom	kingdom	PROPN
cana-810	49	7	indicate	indicate	VERB
cana-810	49	8	that	that	SCONJ
cana-810	49	9	the	the	DET
cana-810	49	10	epidemic	epidemic	NOUN
cana-810	49	11	of	of	ADP
cana-810	49	12	tuberculosis	tuberculosis	NOUN
cana-810	49	13	may	may	AUX
cana-810	49	14	have	have	AUX
cana-810	49	15	peaked	peak	VERB
cana-810	49	16	around	around	ADP
cana-810	49	17	1750[22	1750[22	NUM
cana-810	49	18	]	]	PUNCT
cana-810	49	19	.	.	PUNCT
cana-810	50	1	tuberculosis	tuberculosis	NOUN
cana-810	50	2	was	be	AUX
cana-810	50	3	one	one	NUM
cana-810	50	4	of	of	ADP
cana-810	50	5	the	the	DET
cana-810	50	6	most	most	ADV
cana-810	50	7	serious	serious	ADJ
cana-810	50	8	medical	medical	ADJ
cana-810	50	9	problems	problem	NOUN
cana-810	50	10	facing	face	VERB
cana-810	50	11	the	the	DET
cana-810	50	12	uk	uk	PROPN
cana-810	50	13	at	at	ADP
cana-810	50	14	the	the	DET
cana-810	50	15	start	start	NOUN
cana-810	50	16	of	of	ADP
cana-810	50	17	the	the	DET
cana-810	50	18	20th	20th	ADJ
cana-810	50	19	century	century	NOUN
cana-810	50	20	.	.	PUNCT
cana-810	51	1	in	in	ADP
cana-810	51	2	1901,royal	1901,royal	PROPN
cana-810	51	3	authority	authority	NOUN
cana-810	51	4	was	be	AUX
cana-810	51	5	established	establish	VERB
cana-810	51	6	.	.	PUNCT
cana-810	52	1	the	the	DET
cana-810	52	2	commission	commission	NOUN
cana-810	52	3	of	of	ADP
cana-810	52	4	inquiry	inquiry	NOUN
cana-810	52	5	was	be	AUX
cana-810	52	6	design	design	NOUN
cana-810	52	7	to	to	PART
cana-810	52	8	examine	examine	VERB
cana-810	52	9	communications	communication	NOUN
cana-810	52	10	on	on	ADP
cana-810	52	11	applied	apply	VERB
cana-810	52	12	nonlinear	nonlinear	ADJ
cana-810	52	13	analysis	analysis	NOUN
cana-810	52	14	issn	issn	NOUN
cana-810	52	15	:	:	PUNCT
cana-810	52	16	1074	1074	NUM
cana-810	52	17	-	-	PUNCT
cana-810	52	18	133x	133x	NUM
cana-810	52	19	vol	vol	NOUN
cana-810	52	20	31	31	NUM
cana-810	52	21	no	no	NOUN
cana-810	52	22	.	.	PUNCT
cana-810	53	1	3s	3s	NUM
cana-810	53	2	(	(	PUNCT
cana-810	53	3	2024	2024	NUM
cana-810	53	4	)	)	PUNCT
cana-810	53	5	561	561	NUM
cana-810	53	6	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	53	7	m	m	VERB
cana-810	53	8	the	the	DET
cana-810	53	9	connection	connection	NOUN
cana-810	53	10	between	between	ADP
cana-810	53	11	humans	human	NOUN
cana-810	53	12	and	and	CCONJ
cana-810	53	13	animals	animal	NOUN
cana-810	53	14	with	with	ADP
cana-810	53	15	tuberculosis	tuberculosis	NOUN
cana-810	53	16	.	.	PUNCT
cana-810	54	1	the	the	DET
cana-810	54	2	purpose	purpose	NOUN
cana-810	54	3	of	of	ADP
cana-810	54	4	this	this	DET
cana-810	54	5	study	study	NOUN
cana-810	54	6	was	be	AUX
cana-810	54	7	to	to	PART
cana-810	54	8	determine	determine	VERB
cana-810	54	9	whether	whether	SCONJ
cana-810	54	10	animal	animal	NOUN
cana-810	54	11	and	and	CCONJ
cana-810	54	12	human	human	ADJ
cana-810	54	13	tuberculosis	tuberculosis	NOUN
cana-810	54	14	are	be	AUX
cana-810	54	15	the	the	DET
cana-810	54	16	same	same	ADJ
cana-810	54	17	illnesses	illness	NOUN
cana-810	54	18	and	and	CCONJ
cana-810	54	19	whether	whether	SCONJ
cana-810	54	20	infections	infection	NOUN
cana-810	54	21	in	in	ADP
cana-810	54	22	humans	human	NOUN
cana-810	54	23	and	and	CCONJ
cana-810	54	24	animals	animal	NOUN
cana-810	54	25	are	be	AUX
cana-810	54	26	possible	possible	ADJ
cana-810	54	27	.	.	PUNCT
cana-810	55	1	the	the	DET
cana-810	55	2	commission	commission	NOUN
cana-810	55	3	subsequently	subsequently	ADV
cana-810	55	4	changed	change	VERB
cana-810	55	5	its	its	PRON
cana-810	55	6	name	name	NOUN
cana-810	55	7	to	to	ADP
cana-810	55	8	the	the	DET
cana-810	55	9	uk	uk	PROPN
cana-810	55	10	's	's	PART
cana-810	55	11	medical	medical	ADJ
cana-810	55	12	research	research	NOUN
cana-810	55	13	council	council	PROPN
cana-810	55	14	in	in	ADP
cana-810	55	15	1919.the	1919.the	DET
cana-810	55	16	type	type	NOUN
cana-810	55	17	of	of	ADP
cana-810	55	18	bacteria	bacteria	NOUN
cana-810	55	19	streptomyces	streptomyce	NOUN
cana-810	55	20	griseus	griseus	NOUN
cana-810	55	21	is	be	AUX
cana-810	55	22	the	the	DET
cana-810	55	23	source	source	NOUN
cana-810	55	24	of	of	ADP
cana-810	55	25	streptomycin	streptomycin	PROPN
cana-810	55	26	and	and	CCONJ
cana-810	55	27	was	be	AUX
cana-810	55	28	discovered	discover	VERB
cana-810	55	29	in	in	ADP
cana-810	55	30	1944	1944	NUM
cana-810	55	31	by	by	ADP
cana-810	55	32	albert	albert	PROPN
cana-810	55	33	schatz	schatz	PROPN
cana-810	55	34	,	,	PUNCT
cana-810	55	35	elizabeth	elizabeth	PROPN
cana-810	55	36	bugieand	bugieand	PROPN
cana-810	55	37	selman	selman	PROPN
cana-810	55	38	waksman	waksman	PROPN
cana-810	55	39	.	.	PUNCT
cana-810	56	1	the	the	DET
cana-810	56	2	first	first	ADJ
cana-810	56	3	antibiotic	antibiotic	NOUN
cana-810	56	4	that	that	PRON
cana-810	56	5	proved	prove	VERB
cana-810	56	6	effective	effective	ADJ
cana-810	56	7	against	against	ADP
cana-810	56	8	mycobacterium	mycobacterium	NOUN
cana-810	56	9	tuberculosis	tuberculosis	NOUN
cana-810	56	10	was	be	AUX
cana-810	56	11	streptomycin	streptomycin	PROPN
cana-810	56	12	.	.	PUNCT
cana-810	57	1	the	the	DET
cana-810	57	2	majority	majority	NOUN
cana-810	57	3	of	of	ADP
cana-810	57	4	individuals	individual	NOUN
cana-810	57	5	agree	agree	VERB
cana-810	57	6	that	that	SCONJ
cana-810	57	7	this	this	DET
cana-810	57	8	discovery	discovery	NOUN
cana-810	57	9	marked	mark	VERB
cana-810	57	10	the	the	DET
cana-810	57	11	commencement	commencement	NOUN
cana-810	57	12	of	of	ADP
cana-810	57	13	the	the	DET
cana-810	57	14	modern	modern	ADJ
cana-810	57	15	era	era	NOUN
cana-810	57	16	of	of	ADP
cana-810	57	17	tuberculosis	tuberculosis	NOUN
cana-810	57	18	.	.	PUNCT
cana-810	58	1	streptomycin	streptomycin	PROPN
cana-810	58	2	was	be	AUX
cana-810	58	3	used	use	VERB
cana-810	58	4	in	in	ADP
cana-810	58	5	conjunction	conjunction	NOUN
cana-810	58	6	with	with	ADP
cana-810	58	7	para	para	ADJ
cana-810	58	8	-	-	PUNCT
cana-810	58	9	amino	amino	NOUN
cana-810	58	10	salicylic	salicylic	NOUN
cana-810	58	11	acid	acid	NOUN
cana-810	58	12	,	,	PUNCT
cana-810	58	13	which	which	PRON
cana-810	58	14	was	be	AUX
cana-810	58	15	discovered	discover	VERB
cana-810	58	16	in	in	ADP
cana-810	58	17	1946	1946	NUM
cana-810	58	18	,	,	PUNCT
cana-810	58	19	to	to	PART
cana-810	58	20	prevent	prevent	VERB
cana-810	58	21	the	the	DET
cana-810	58	22	growth	growth	NOUN
cana-810	58	23	of	of	ADP
cana-810	58	24	resistance	resistance	NOUN
cana-810	58	25	to	to	ADP
cana-810	58	26	different	different	ADJ
cana-810	58	27	versions	version	NOUN
cana-810	58	28	of	of	ADP
cana-810	58	29	the	the	DET
cana-810	58	30	medication.which	medication.which	NOUN
cana-810	58	31	significantly	significantly	ADV
cana-810	58	32	enhanced	enhance	VERB
cana-810	58	33	outcomes	outcome	NOUN
cana-810	58	34	for	for	ADP
cana-810	58	35	patients	patient	NOUN
cana-810	58	36	.	.	PUNCT
cana-810	59	1	the	the	DET
cana-810	59	2	true	true	ADJ
cana-810	59	3	revolution	revolution	NOUN
cana-810	59	4	commenced	commence	VERB
cana-810	59	5	a	a	DET
cana-810	59	6	few	few	ADJ
cana-810	59	7	years	year	NOUN
cana-810	59	8	later	later	ADV
cana-810	59	9	,	,	PUNCT
cana-810	59	10	in	in	ADP
cana-810	59	11	1952	1952	NUM
cana-810	59	12	,	,	PUNCT
cana-810	59	13	when	when	SCONJ
cana-810	59	14	a	a	DET
cana-810	59	15	drug	drug	NOUN
cana-810	59	16	called	call	VERB
cana-810	59	17	the	the	DET
cana-810	59	18	first	first	ADJ
cana-810	59	19	oral	oral	ADJ
cana-810	59	20	mycobactericidal	mycobactericidal	ADJ
cana-810	59	21	medication	medication	NOUN
cana-810	59	22	,	,	PUNCT
cana-810	59	23	was	be	AUX
cana-810	59	24	developed	develop	VERB
cana-810	59	25	.	.	PUNCT
cana-810	60	1	rifampin	rifampin	PROPN
cana-810	60	2	's	's	PART
cana-810	60	3	implementation	implementation	NOUN
cana-810	60	4	in	in	ADP
cana-810	60	5	the	the	DET
cana-810	60	6	1970s	1970	NOUN
cana-810	60	7	sped	speed	VERB
cana-810	60	8	up	up	ADP
cana-810	60	9	the	the	DET
cana-810	60	10	healing	healing	NOUN
cana-810	60	11	process	process	NOUN
cana-810	60	12	and	and	CCONJ
cana-810	60	13	,	,	PUNCT
cana-810	60	14	up	up	ADP
cana-810	60	15	until	until	ADP
cana-810	60	16	the	the	DET
cana-810	60	17	1980s	1980	NOUN
cana-810	60	18	,	,	PUNCT
cana-810	60	19	substantially	substantially	ADV
cana-810	60	20	reduced	reduce	VERB
cana-810	60	21	the	the	DET
cana-810	60	22	number	number	NOUN
cana-810	60	23	of	of	ADP
cana-810	60	24	tuberculosis	tuberculosis	NOUN
cana-810	60	25	cases	case	NOUN
cana-810	60	26	[	[	X
cana-810	60	27	23	23	NUM
cana-810	60	28	-	-	SYM
cana-810	60	29	32	32	NUM
cana-810	60	30	]	]	PUNCT
cana-810	60	31	.	.	PUNCT
cana-810	61	1	in	in	ADP
cana-810	61	2	2022	2022	NUM
cana-810	61	3	,	,	PUNCT
cana-810	61	4	10.6	10.6	NUM
cana-810	61	5	million	million	NUM
cana-810	61	6	new	new	ADJ
cana-810	61	7	cases	case	NOUN
cana-810	61	8	of	of	ADP
cana-810	61	9	infectious	infectious	ADJ
cana-810	61	10	tuberculosis	tuberculosis	NOUN
cana-810	61	11	(	(	PUNCT
cana-810	61	12	tb	tb	NOUN
cana-810	61	13	)	)	PUNCT
cana-810	61	14	are	be	AUX
cana-810	61	15	expected	expect	VERB
cana-810	61	16	to	to	PART
cana-810	61	17	occur	occur	VERB
cana-810	61	18	countrywide	countrywide	NOUN
cana-810	61	19	.	.	PUNCT
cana-810	62	1	six	six	NUM
cana-810	62	2	million	million	NUM
cana-810	62	3	men	man	NOUN
cana-810	62	4	34,000,000	34,000,000	NUM
cana-810	62	5	women	woman	NOUN
cana-810	62	6	(	(	PUNCT
cana-810	62	7	about	about	ADP
cana-810	62	8	twice	twice	DET
cana-810	62	9	the	the	DET
cana-810	62	10	population	population	NOUN
cana-810	62	11	of	of	ADP
cana-810	62	12	new	new	ADJ
cana-810	62	13	york)and	york)and	NOUN
cana-810	62	14	12,000,000	12,000,000	NUM
cana-810	62	15	children	child	NOUN
cana-810	62	16	(	(	PUNCT
cana-810	62	17	about	about	ADP
cana-810	62	18	twice	twice	DET
cana-810	62	19	the	the	DET
cana-810	62	20	population	population	NOUN
cana-810	62	21	of	of	ADP
cana-810	62	22	arizona	arizona	PROPN
cana-810	62	23	)	)	PUNCT
cana-810	62	24	in	in	ADP
cana-810	62	25	every	every	DET
cana-810	62	26	generation	generation	NOUN
cana-810	62	27	and	and	CCONJ
cana-810	62	28	region	region	NOUN
cana-810	62	29	have	have	AUX
cana-810	62	30	tbyet	tbyet	NOUN
cana-810	62	31	,	,	PUNCT
cana-810	62	32	tb	tb	X
cana-810	62	33	can	can	AUX
cana-810	62	34	be	be	AUX
cana-810	62	35	controlled	control	VERB
cana-810	62	36	and	and	CCONJ
cana-810	62	37	protected	protect	VERB
cana-810	62	38	.	.	PUNCT
cana-810	63	1	multidrug	multidrug	NOUN
cana-810	63	2	-	-	PUNCT
cana-810	63	3	resistant	resistant	ADJ
cana-810	63	4	tb	tb	NOUN
cana-810	63	5	,	,	PUNCT
cana-810	63	6	or	or	CCONJ
cana-810	63	7	mdr	mdr	PROPN
cana-810	63	8	-	-	PROPN
cana-810	63	9	tb	tb	PROPN
cana-810	63	10	,	,	PUNCT
cana-810	63	11	is	be	AUX
cana-810	63	12	still	still	ADV
cana-810	63	13	a	a	DET
cana-810	63	14	public	public	ADJ
cana-810	63	15	health	health	NOUN
cana-810	63	16	problem	problem	NOUN
cana-810	63	17	and	and	CCONJ
cana-810	63	18	an	an	DET
cana-810	63	19	imminent	imminent	ADJ
cana-810	63	20	security	security	NOUN
cana-810	63	21	threat	threat	NOUN
cana-810	63	22	.	.	PUNCT
cana-810	64	1	in	in	ADP
cana-810	64	2	2021,almost	2021,almost	NUM
cana-810	64	3	one	one	NUM
cana-810	64	4	in	in	ADP
cana-810	64	5	three	three	NUM
cana-810	64	6	people	people	NOUN
cana-810	64	7	who	who	PRON
cana-810	64	8	have	have	VERB
cana-810	64	9	drug	drug	NOUN
cana-810	64	10	-	-	PUNCT
cana-810	64	11	resistant	resistant	ADJ
cana-810	64	12	tb	tb	NOUN
cana-810	64	13	will	will	AUX
cana-810	64	14	receive	receive	VERB
cana-810	64	15	therapy	therapy	NOUN
cana-810	64	16	.	.	PUNCT
cana-810	65	1	the	the	DET
cana-810	65	2	identification	identification	NOUN
cana-810	65	3	and	and	CCONJ
cana-810	65	4	treatment	treatment	NOUN
cana-810	65	5	of	of	ADP
cana-810	65	6	tuberculosis	tuberculosis	NOUN
cana-810	65	7	has	have	AUX
cana-810	65	8	been	be	AUX
cana-810	65	9	estimated	estimate	VERB
cana-810	65	10	to	to	PART
cana-810	65	11	have	have	AUX
cana-810	65	12	prevented	prevent	VERB
cana-810	65	13	74	74	NUM
cana-810	65	14	million	million	NUM
cana-810	65	15	hospitalizations	hospitalization	NOUN
cana-810	65	16	between	between	ADP
cana-810	65	17	2000	2000	NUM
cana-810	65	18	and	and	CCONJ
cana-810	65	19	2021	2021	NUM
cana-810	65	20	.	.	PUNCT
cana-810	66	1	it	it	PRON
cana-810	66	2	requires	require	VERB
cana-810	66	3	a	a	DET
cana-810	66	4	spending	spending	NOUN
cana-810	66	5	plan	plan	NOUN
cana-810	66	6	of	of	ADP
cana-810	66	7	$	$	SYM
cana-810	66	8	13	13	NUM
cana-810	66	9	billion	billion	NUM
cana-810	66	10	(	(	PUNCT
cana-810	66	11	about	about	ADV
cana-810	66	12	$	$	SYM
cana-810	66	13	40	40	NUM
cana-810	66	14	per	per	ADP
cana-810	66	15	person	person	NOUN
cana-810	66	16	in	in	ADP
cana-810	66	17	the	the	DET
cana-810	66	18	us	us	PROPN
cana-810	66	19	)	)	PUNCT
cana-810	66	20	(	(	PUNCT
cana-810	66	21	about	about	ADV
cana-810	66	22	$	$	SYM
cana-810	66	23	40	40	NUM
cana-810	66	24	per	per	ADP
cana-810	66	25	person	person	NOUN
cana-810	66	26	in	in	ADP
cana-810	66	27	the	the	DET
cana-810	66	28	us	us	PROPN
cana-810	66	29	)	)	PUNCT
cana-810	66	30	(	(	PUNCT
cana-810	66	31	about	about	ADV
cana-810	66	32	$	$	SYM
cana-810	66	33	40	40	NUM
cana-810	66	34	per	per	ADP
cana-810	66	35	person	person	NOUN
cana-810	66	36	in	in	ADP
cana-810	66	37	the	the	DET
cana-810	66	38	us	us	PROPN
cana-810	66	39	)	)	PUNCT
cana-810	66	40	annually	annually	ADV
cana-810	66	41	,	,	PUNCT
cana-810	66	42	the	the	DET
cana-810	66	43	leading	lead	VERB
cana-810	66	44	cause	cause	NOUN
cana-810	66	45	of	of	ADP
cana-810	66	46	mortality	mortality	NOUN
cana-810	66	47	worldwide	worldwide	ADV
cana-810	67	1	[	[	X
cana-810	67	2	33	33	NUM
cana-810	67	3	-	-	SYM
cana-810	67	4	35	35	NUM
cana-810	67	5	]	]	PUNCT
cana-810	67	6	.	.	PUNCT
cana-810	68	1	the	the	PRON
cana-810	68	2	who	who	PRON
cana-810	68	3	launched	launch	VERB
cana-810	68	4	the	the	DET
cana-810	68	5	"	"	PUNCT
cana-810	68	6	end	end	NOUN
cana-810	68	7	tb	tb	NOUN
cana-810	68	8	"	"	PUNCT
cana-810	68	9	campaign	campaign	NOUN
cana-810	68	10	in	in	ADP
cana-810	68	11	2014	2014	NUM
cana-810	68	12	,	,	PUNCT
cana-810	68	13	with	with	ADP
cana-810	68	14	the	the	DET
cana-810	68	15	goal	goal	NOUN
cana-810	68	16	of	of	ADP
cana-810	68	17	80	80	NUM
cana-810	68	18	%	%	NOUN
cana-810	68	19	fewer	few	ADJ
cana-810	68	20	tbcases	tbcase	NOUN
cana-810	68	21	and	and	CCONJ
cana-810	68	22	90	90	NUM
cana-810	68	23	%	%	NOUN
cana-810	68	24	fewer	few	ADJ
cana-810	68	25	tb	tb	NOUN
cana-810	68	26	-	-	PUNCT
cana-810	68	27	related	relate	VERB
cana-810	68	28	deaths	death	NOUN
cana-810	68	29	by	by	ADP
cana-810	68	30	2030	2030	NUM
cana-810	68	31	.	.	PUNCT
cana-810	69	1	the	the	DET
cana-810	69	2	target	target	NOUN
cana-810	69	3	numberof	numberof	VERB
cana-810	69	4	206calls	206calls	PROPN
cana-810	69	5	for	for	ADP
cana-810	69	6	a	a	DET
cana-810	69	7	20	20	NUM
cana-810	69	8	%	%	NOUN
cana-810	69	9	decrease	decrease	NOUN
cana-810	69	10	in	in	ADP
cana-810	69	11	tb	tb	ADP
cana-810	69	12	incidence	incidence	NOUN
cana-810	69	13	and	and	CCONJ
cana-810	69	14	35	35	NUM
cana-810	69	15	%	%	NOUN
cana-810	69	16	decrease	decrease	NOUN
cana-810	69	17	in	in	ADP
cana-810	69	18	tb	tb	ADP
cana-810	69	19	deaths	death	NOUN
cana-810	69	20	by	by	ADP
cana-810	69	21	2020	2020	NUM
cana-810	69	22	.	.	PUNCT
cana-810	70	1	in	in	ADP
cana-810	70	2	2020	2020	NUM
cana-810	70	3	,	,	PUNCT
cana-810	70	4	however	however	ADV
cana-810	70	5	,	,	PUNCT
cana-810	70	6	the	the	DET
cana-810	70	7	global	global	ADJ
cana-810	70	8	incidence	incidence	NOUN
cana-810	70	9	per	per	ADP
cana-810	70	10	population	population	NOUN
cana-810	70	11	decreased	decrease	VERB
cana-810	70	12	by	by	ADP
cana-810	70	13	only	only	ADV
cana-810	70	14	9	9	NUM
cana-810	70	15	%	%	NOUN
cana-810	70	16	,	,	PUNCT
cana-810	70	17	while	while	SCONJ
cana-810	70	18	the	the	DET
cana-810	70	19	european	european	ADJ
cana-810	70	20	and	and	CCONJ
cana-810	70	21	african	african	ADJ
cana-810	70	22	regions	region	NOUN
cana-810	70	23	decreased	decrease	VERB
cana-810	70	24	it	it	PRON
cana-810	70	25	19	19	NUM
cana-810	70	26	%	%	NOUN
cana-810	70	27	and	and	CCONJ
cana-810	70	28	16	16	NUM
cana-810	70	29	%	%	NOUN
cana-810	70	30	,	,	PUNCT
cana-810	70	31	respectively	respectively	ADV
cana-810	70	32	.	.	PUNCT
cana-810	71	1	the	the	DET
cana-810	71	2	total	total	ADJ
cana-810	71	3	number	number	NOUN
cana-810	71	4	of	of	ADP
cana-810	71	5	deaths	death	NOUN
cana-810	71	6	decreased	decrease	VERB
cana-810	71	7	by	by	ADP
cana-810	71	8	only	only	ADV
cana-810	71	9	14	14	NUM
cana-810	71	10	%	%	NOUN
cana-810	71	11	,	,	PUNCT
cana-810	71	12	falling	fall	VERB
cana-810	71	13	short	short	ADV
cana-810	71	14	of	of	ADP
cana-810	71	15	the	the	DET
cana-810	71	16	2020	2020	NUM
cana-810	71	17	target	target	NOUN
cana-810	71	18	of	of	ADP
cana-810	71	19	35	35	NUM
cana-810	71	20	%	%	NOUN
cana-810	71	21	reductions	reduction	NOUN
cana-810	71	22	;	;	PUNCT
cana-810	71	23	however	however	ADV
cana-810	71	24	,	,	PUNCT
cana-810	71	25	certain	certain	ADJ
cana-810	71	26	regions	region	NOUN
cana-810	71	27	saw	see	VERB
cana-810	71	28	greater	great	ADJ
cana-810	71	29	progress	progress	NOUN
cana-810	71	30	,	,	PUNCT
cana-810	71	31	with	with	ADP
cana-810	71	32	europe	europe	PROPN
cana-810	71	33	and	and	CCONJ
cana-810	71	34	africa	africa	PROPN
cana-810	71	35	seeing	see	VERB
cana-810	71	36	reductions	reduction	NOUN
cana-810	71	37	of	of	ADP
cana-810	71	38	31	31	NUM
cana-810	71	39	%	%	NOUN
cana-810	71	40	and	and	CCONJ
cana-810	71	41	19	19	NUM
cana-810	71	42	%	%	NOUN
cana-810	71	43	,	,	PUNCT
cana-810	71	44	respectively	respectively	ADV
cana-810	71	45	.	.	PUNCT
cana-810	72	1	accordingly	accordingly	ADV
cana-810	72	2	,	,	PUNCT
cana-810	72	3	2020	2020	NUM
cana-810	72	4	saw	see	VERB
cana-810	72	5	a	a	DET
cana-810	72	6	failure	failure	NOUN
cana-810	72	7	to	to	PART
cana-810	72	8	meet	meet	VERB
cana-810	72	9	targets	target	NOUN
cana-810	72	10	for	for	ADP
cana-810	72	11	funding	funding	NOUN
cana-810	72	12	,	,	PUNCT
cana-810	72	13	treatment	treatment	NOUN
cana-810	72	14	,	,	PUNCT
cana-810	72	15	and	and	CCONJ
cana-810	72	16	prevention	prevention	NOUN
cana-810	72	17	.	.	PUNCT
cana-810	73	1	in	in	ADP
cana-810	73	2	2020,only	2020,only	ADJ
cana-810	73	3	6.3	6.3	NUM
cana-810	73	4	million	million	NUM
cana-810	73	5	people	people	NOUN
cana-810	73	6	started	start	VERB
cana-810	73	7	getting	get	VERB
cana-810	73	8	tb	tb	ADP
cana-810	73	9	preventatives	preventative	NOUN
cana-810	73	10	;	;	PUNCT
cana-810	73	11	this	this	PRON
cana-810	73	12	is	be	AUX
cana-810	73	13	less	less	ADJ
cana-810	73	14	than	than	ADP
cana-810	73	15	the	the	DET
cana-810	73	16	suggested	suggest	VERB
cana-810	73	17	number	number	NOUN
cana-810	73	18	of	of	ADP
cana-810	73	19	30	30	NUM
cana-810	73	20	million	million	NUM
cana-810	73	21	.	.	PUNCT
cana-810	74	1	in	in	ADP
cana-810	74	2	2010	2010	NUM
cana-810	74	3	,	,	PUNCT
cana-810	74	4	india	india	PROPN
cana-810	74	5	contributed	contribute	VERB
cana-810	74	6	to	to	ADP
cana-810	74	7	the	the	DET
cana-810	74	8	largest	large	ADJ
cana-810	74	9	number	number	NOUN
cana-810	74	10	of	of	ADP
cana-810	74	11	tuberculosis	tuberculosis	NOUN
cana-810	74	12	cases	case	NOUN
cana-810	74	13	worldwide	worldwide	ADV
cana-810	74	14	,	,	PUNCT
cana-810	74	15	partly	partly	ADV
cana-810	74	16	because	because	SCONJ
cana-810	74	17	of	of	ADP
cana-810	74	18	inadequate	inadequate	ADJ
cana-810	74	19	disease	disease	NOUN
cana-810	74	20	treatment	treatment	NOUN
cana-810	74	21	in	in	ADP
cana-810	74	22	both	both	CCONJ
cana-810	74	23	private	private	ADJ
cana-810	74	24	and	and	CCONJ
cana-810	74	25	public	public	ADJ
cana-810	74	26	healthcare	healthcare	NOUN
cana-810	74	27	networks	network	NOUN
cana-810	74	28	.	.	PUNCT
cana-810	75	1	programs	program	NOUN
cana-810	75	2	such	such	ADJ
cana-810	75	3	as	as	ADP
cana-810	75	4	the	the	DET
cana-810	75	5	revised	revise	VERB
cana-810	75	6	national	national	ADJ
cana-810	75	7	tuberculosis	tuberculosis	NOUN
cana-810	75	8	control	control	NOUN
cana-810	75	9	program	program	NOUN
cana-810	75	10	aim	aim	VERB
cana-810	75	11	to	to	PART
cana-810	75	12	lower	lower	VERB
cana-810	75	13	the	the	DET
cana-810	75	14	prevalence	prevalence	NOUN
cana-810	75	15	of	of	ADP
cana-810	75	16	tuberculosis	tuberculosis	NOUN
cana-810	75	17	(	(	PUNCT
cana-810	75	18	tb	tb	NOUN
cana-810	75	19	)	)	PUNCT
cana-810	75	20	among	among	ADP
cana-810	75	21	patients	patient	NOUN
cana-810	75	22	receiving	receive	VERB
cana-810	75	23	healthcare	healthcare	NOUN
cana-810	75	24	from	from	ADP
cana-810	75	25	the	the	DET
cana-810	75	26	government	government	NOUN
cana-810	75	27	[	[	X
cana-810	75	28	36	36	NUM
cana-810	75	29	-	-	SYM
cana-810	75	30	38	38	NUM
cana-810	75	31	]	]	PUNCT
cana-810	75	32	.	.	PUNCT
cana-810	76	1	2	2	X
cana-810	76	2	.	.	X
cana-810	76	3	model	model	NOUN
cana-810	76	4	of	of	ADP
cana-810	76	5	the	the	DET
cana-810	76	6	parameter	parameter	NOUN
cana-810	76	7	s	s	PART
cana-810	76	8	:	:	PUNCT
cana-810	76	9	rate	rate	NOUN
cana-810	76	10	of	of	ADP
cana-810	76	11	susceptible	susceptible	ADJ
cana-810	76	12	population	population	NOUN
cana-810	76	13	e1	e1	NOUN
cana-810	76	14	:	:	PUNCT
cana-810	76	15	latent	latent	ADJ
cana-810	76	16	period	period	NOUN
cana-810	76	17	short	short	ADJ
cana-810	76	18	term	term	NOUN
cana-810	76	19	to	to	PART
cana-810	76	20	become	become	VERB
cana-810	76	21	high	high	ADJ
cana-810	76	22	risk	risk	NOUN
cana-810	76	23	of	of	ADP
cana-810	76	24	infectious	infectious	ADJ
cana-810	76	25	population	population	NOUN
cana-810	76	26	e2	e2	NOUN
cana-810	76	27	:	:	PUNCT
cana-810	76	28	latent	latent	NOUN
cana-810	76	29	period	period	NOUN
cana-810	76	30	for	for	ADP
cana-810	76	31	long	long	ADJ
cana-810	76	32	term	term	NOUN
cana-810	76	33	become	become	VERB
cana-810	76	34	low	low	ADJ
cana-810	76	35	risk	risk	NOUN
cana-810	76	36	of	of	ADP
cana-810	76	37	infectious	infectious	ADJ
cana-810	76	38	population	population	NOUN
cana-810	76	39	i1	i1	NOUN
cana-810	76	40	:	:	PUNCT
cana-810	76	41	rate	rate	NOUN
cana-810	76	42	of	of	ADP
cana-810	76	43	infected	infect	VERB
cana-810	76	44	at	at	ADP
cana-810	76	45	hospital	hospital	NOUN
cana-810	76	46	stage	stage	NOUN
cana-810	76	47	of	of	ADP
cana-810	76	48	population	population	NOUN
cana-810	76	49	communications	communication	NOUN
cana-810	76	50	on	on	ADP
cana-810	76	51	applied	apply	VERB
cana-810	76	52	nonlinear	nonlinear	ADJ
cana-810	76	53	analysis	analysis	NOUN
cana-810	76	54	issn	issn	NOUN
cana-810	76	55	:	:	PUNCT
cana-810	76	56	1074	1074	NUM
cana-810	76	57	-	-	PUNCT
cana-810	76	58	133x	133x	NUM
cana-810	76	59	vol	vol	NOUN
cana-810	76	60	31	31	NUM
cana-810	76	61	no	no	NOUN
cana-810	76	62	.	.	PUNCT
cana-810	77	1	3s	3s	NUM
cana-810	77	2	(	(	PUNCT
cana-810	77	3	2024	2024	NUM
cana-810	77	4	)	)	PUNCT
cana-810	77	5	562	562	NUM
cana-810	77	6	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	77	7	m	m	PROPN
cana-810	77	8	i2	i2	NOUN
cana-810	77	9	:	:	PUNCT
cana-810	77	10	rate	rate	NOUN
cana-810	77	11	of	of	ADP
cana-810	77	12	randomly	randomly	ADV
cana-810	77	13	infectious	infectious	ADJ
cana-810	77	14	population	population	NOUN
cana-810	77	15	at	at	ADP
cana-810	77	16	publicplace	publicplace	NOUN
cana-810	77	17	r	r	NOUN
cana-810	77	18	:	:	PUNCT
cana-810	77	19	rate	rate	NOUN
cana-810	77	20	of	of	ADP
cana-810	77	21	recovered	recovered	ADJ
cana-810	77	22	population	population	NOUN
cana-810	77	23	π	π	NOUN
cana-810	77	24	:	:	PUNCT
cana-810	77	25	recruitment	recruitment	NOUN
cana-810	77	26	rate	rate	NOUN
cana-810	77	27	of	of	ADP
cana-810	77	28	tb	tb	NOUN
cana-810	77	29	γ	γ	NOUN
cana-810	77	30	:	:	PUNCT
cana-810	77	31	susceptible	susceptible	ADJ
cana-810	77	32	people	people	NOUN
cana-810	77	33	get	get	VERB
cana-810	77	34	to	to	ADP
cana-810	77	35	early	early	ADJ
cana-810	77	36	latent	latent	NOUN
cana-810	77	37	infection	infection	NOUN
cana-810	77	38	β	β	NOUN
cana-810	77	39	:	:	PUNCT
cana-810	77	40	the	the	DET
cana-810	77	41	rate	rate	NOUN
cana-810	77	42	at	at	ADP
cana-810	77	43	which	which	PRON
cana-810	77	44	susceptible	susceptible	ADJ
cana-810	77	45	individual	individual	NOUN
cana-810	77	46	will	will	AUX
cana-810	77	47	move	move	VERB
cana-810	77	48	to	to	ADP
cana-810	77	49	long	long	ADJ
cana-810	77	50	latent	latent	NOUN
cana-810	77	51	class	class	NOUN
cana-810	77	52	of	of	ADP
cana-810	77	53	infection	infection	NOUN
cana-810	77	54	(	(	PUNCT
cana-810	77	55	e2	e2	PROPN
cana-810	77	56	)	)	PUNCT
cana-810	77	57	μ	μ	PROPN
cana-810	77	58	:	:	PUNCT
cana-810	77	59	natural	natural	ADJ
cana-810	77	60	death	death	NOUN
cana-810	77	61	rate	rate	NOUN
cana-810	77	62	of	of	ADP
cana-810	77	63	tb	tb	ADP
cana-810	77	64	σ	σ	PRON
cana-810	77	65	:	:	PUNCT
cana-810	77	66	progression	progression	NOUN
cana-810	77	67	rate	rate	NOUN
cana-810	77	68	of	of	ADP
cana-810	77	69	active	active	ADJ
cana-810	77	70	tuberculosis	tuberculosis	NOUN
cana-810	77	71	from	from	ADP
cana-810	77	72	(	(	PUNCT
cana-810	77	73	e1)class	e1)class	PROPN
cana-810	77	74	to(i1	to(i1	NUM
cana-810	77	75	)	)	PUNCT
cana-810	77	76	δ	δ	NOUN
cana-810	77	77	:	:	PUNCT
cana-810	77	78	the	the	DET
cana-810	77	79	rate	rate	NOUN
cana-810	77	80	at	at	ADP
cana-810	77	81	which	which	PRON
cana-810	77	82	susceptible	susceptible	ADJ
cana-810	77	83	individual	individual	NOUN
cana-810	77	84	will	will	AUX
cana-810	77	85	move	move	VERB
cana-810	77	86	to	to	ADP
cana-810	77	87	long	long	ADJ
cana-810	77	88	latent	latent	NOUN
cana-810	77	89	class	class	NOUN
cana-810	77	90	of	of	ADP
cana-810	77	91	infectious	infectious	ADJ
cana-810	77	92	stage	stage	NOUN
cana-810	77	93	ξ	ξ	PROPN
cana-810	77	94	:	:	PUNCT
cana-810	77	95	the	the	DET
cana-810	77	96	progression	progression	NOUN
cana-810	77	97	rate	rate	NOUN
cana-810	77	98	of	of	ADP
cana-810	77	99	latent	latent	ADJ
cana-810	77	100	period	period	NOUN
cana-810	77	101	of	of	ADP
cana-810	77	102	long	long	ADJ
cana-810	77	103	-	-	PUNCT
cana-810	77	104	term	term	NOUN
cana-810	77	105	people	people	NOUN
cana-810	77	106	become	become	VERB
cana-810	77	107	low	low	ADJ
cana-810	77	108	risk	risk	NOUN
cana-810	77	109	of	of	ADP
cana-810	77	110	infectious	infectious	ADJ
cana-810	77	111	at	at	ADP
cana-810	77	112	the	the	DET
cana-810	77	113	rate	rate	NOUN
cana-810	77	114	of	of	ADP
cana-810	77	115	(	(	PUNCT
cana-810	77	116	e2	e2	PROPN
cana-810	77	117	)	)	PUNCT
cana-810	77	118	get	get	VERB
cana-810	77	119	cure	cure	ADJ
cana-810	77	120	and	and	CCONJ
cana-810	77	121	again	again	ADV
cana-810	77	122	reinfected	reinfecte	VERB
cana-810	77	123	in	in	ADP
cana-810	77	124	public	public	ADJ
cana-810	77	125	placeat	placeat	NOUN
cana-810	77	126	the	the	DET
cana-810	77	127	rate	rate	NOUN
cana-810	77	128	of	of	ADP
cana-810	77	129	i2class	i2class	NOUN
cana-810	77	130	.	.	PUNCT
cana-810	78	1	θ	θ	NOUN
cana-810	78	2	:	:	PUNCT
cana-810	79	1	the	the	DET
cana-810	79	2	rate	rate	NOUN
cana-810	79	3	of	of	ADP
cana-810	79	4	long	long	ADJ
cana-810	79	5	latent	latent	NOUN
cana-810	79	6	people	people	NOUN
cana-810	79	7	gets	get	VERB
cana-810	79	8	infection	infection	NOUN
cana-810	79	9	in	in	ADP
cana-810	79	10	early	early	ADJ
cana-810	79	11	latent	latent	NOUN
cana-810	79	12	class	class	NOUN
cana-810	79	13	ω	ω	NOUN
cana-810	79	14	:	:	PUNCT
cana-810	79	15	the	the	DET
cana-810	79	16	rate	rate	NOUN
cana-810	79	17	at	at	ADP
cana-810	79	18	which	which	PRON
cana-810	79	19	infective	infective	ADJ
cana-810	79	20	class	class	NOUN
cana-810	79	21	of	of	ADP
cana-810	79	22	people	people	NOUN
cana-810	79	23	get	get	VERB
cana-810	79	24	cure	cure	NOUN
cana-810	79	25	and	and	CCONJ
cana-810	79	26	move	move	VERB
cana-810	79	27	to	to	ADP
cana-810	79	28	recovered	recovered	ADJ
cana-810	79	29	class	class	NOUN
cana-810	79	30	ϑ	ϑ	NOUN
cana-810	79	31	:	:	PUNCT
cana-810	79	32	the	the	DET
cana-810	79	33	rate	rate	NOUN
cana-810	79	34	of	of	ADP
cana-810	79	35	early	early	ADJ
cana-810	79	36	latent	latent	NOUN
cana-810	79	37	people	people	NOUN
cana-810	79	38	gets	get	VERB
cana-810	79	39	long	long	ADJ
cana-810	79	40	term	term	NOUN
cana-810	79	41	α	α	NOUN
cana-810	79	42	:	:	PUNCT
cana-810	79	43	the	the	DET
cana-810	79	44	progression	progression	NOUN
cana-810	79	45	rate	rate	NOUN
cana-810	79	46	of	of	ADP
cana-810	79	47	the	the	DET
cana-810	79	48	long	long	ADJ
cana-810	79	49	latent	latent	NOUN
cana-810	79	50	period	period	NOUN
cana-810	79	51	of	of	ADP
cana-810	79	52	(	(	PUNCT
cana-810	79	53	e2	e2	PROPN
cana-810	79	54	)	)	PUNCT
cana-810	79	55	population	population	NOUN
cana-810	79	56	move	move	VERB
cana-810	79	57	to	to	ADP
cana-810	79	58	recovered	recovered	ADJ
cana-810	79	59	class	class	NOUN
cana-810	79	60	(	(	PUNCT
cana-810	79	61	r	r	NOUN
cana-810	79	62	)	)	PUNCT
cana-810	79	63	.	.	PUNCT
cana-810	80	1	model	model	NOUN
cana-810	80	2	formulation	formulation	NOUN
cana-810	80	3	the	the	DET
cana-810	80	4	proposed	propose	VERB
cana-810	80	5	model	model	NOUN
cana-810	80	6	is	be	AUX
cana-810	80	7	developed	develop	VERB
cana-810	80	8	from	from	ADP
cana-810	80	9	the	the	DET
cana-810	80	10	idea	idea	NOUN
cana-810	80	11	of	of	ADP
cana-810	80	12	the	the	DET
cana-810	80	13	basic	basic	ADJ
cana-810	80	14	se1e2i1i2rcompartment	se1e2i1i2rcompartment	PROPN
cana-810	80	15	model	model	NOUN
cana-810	80	16	.	.	PUNCT
cana-810	81	1	here	here	ADV
cana-810	81	2	we	we	PRON
cana-810	81	3	have	have	AUX
cana-810	81	4	classified	classify	VERB
cana-810	81	5	thetotal	thetotal	ADJ
cana-810	81	6	population	population	NOUN
cana-810	81	7	(	(	PUNCT
cana-810	81	8	n	n	CCONJ
cana-810	81	9	)	)	PUNCT
cana-810	81	10	into	into	ADP
cana-810	81	11	six	six	NUM
cana-810	81	12	compartments	compartment	NOUN
cana-810	81	13	:	:	PUNCT
cana-810	81	14	the	the	DET
cana-810	81	15	susceptible	susceptible	ADJ
cana-810	81	16	(	(	PUNCT
cana-810	81	17	s	s	NOUN
cana-810	81	18	)	)	PUNCT
cana-810	81	19	,	,	PUNCT
cana-810	81	20	the	the	DET
cana-810	81	21	short	short	ADJ
cana-810	81	22	latent	latent	NOUN
cana-810	81	23	period	period	NOUN
cana-810	81	24	(	(	PUNCT
cana-810	81	25	e1	e1	NOUN
cana-810	81	26	)	)	PUNCT
cana-810	81	27	which	which	PRON
cana-810	81	28	consists	consist	VERB
cana-810	81	29	of	of	ADP
cana-810	81	30	apopulation	apopulation	NOUN
cana-810	81	31	which	which	PRON
cana-810	81	32	has	have	VERB
cana-810	81	33	high	high	ADJ
cana-810	81	34	risk	risk	NOUN
cana-810	81	35	to	to	PART
cana-810	81	36	become	become	VERB
cana-810	81	37	infectious	infectious	ADJ
cana-810	81	38	by	by	ADP
cana-810	81	39	tb	tb	NOUN
cana-810	81	40	,	,	PUNCT
cana-810	81	41	the	the	DET
cana-810	81	42	long	long	ADJ
cana-810	81	43	latent	latent	NOUN
cana-810	81	44	period	period	NOUN
cana-810	81	45	(	(	PUNCT
cana-810	81	46	e2	e2	PROPN
cana-810	81	47	)	)	PUNCT
cana-810	81	48	,	,	PUNCT
cana-810	81	49	which	which	PRON
cana-810	81	50	has	have	VERB
cana-810	81	51	low	low	ADJ
cana-810	81	52	risk	risk	NOUN
cana-810	81	53	to	to	PART
cana-810	81	54	become	become	VERB
cana-810	81	55	infectious	infectious	ADJ
cana-810	81	56	by	by	ADP
cana-810	81	57	tb	tb	NOUN
cana-810	81	58	,	,	PUNCT
cana-810	81	59	the	the	DET
cana-810	81	60	infective	infective	NOUN
cana-810	81	61	at	at	ADP
cana-810	81	62	hospital	hospital	NOUN
cana-810	81	63	(	(	PUNCT
cana-810	81	64	i1	i1	PROPN
cana-810	81	65	)	)	PUNCT
cana-810	81	66	,	,	PUNCT
cana-810	81	67	infective	infective	VERB
cana-810	81	68	at	at	ADP
cana-810	81	69	public	public	ADJ
cana-810	81	70	(	(	PUNCT
cana-810	81	71	i2	i2	PROPN
cana-810	81	72	)	)	PUNCT
cana-810	81	73	and	and	CCONJ
cana-810	81	74	the	the	DET
cana-810	81	75	recovered	recovered	ADJ
cana-810	81	76	compartment	compartment	NOUN
cana-810	81	77	(	(	PUNCT
cana-810	81	78	r	r	NOUN
cana-810	81	79	)	)	PUNCT
cana-810	81	80	.	.	PUNCT
cana-810	82	1	we	we	PRON
cana-810	82	2	used	use	VERB
cana-810	82	3	reproduction	reproduction	NOUN
cana-810	82	4	number	number	NOUN
cana-810	82	5	r0	r0	NOUN
cana-810	82	6	,	,	PUNCT
cana-810	82	7	we	we	PRON
cana-810	82	8	examined	examine	VERB
cana-810	82	9	disease	disease	NOUN
cana-810	82	10	free	free	ADJ
cana-810	82	11	equilibrium	equilibrium	NOUN
cana-810	82	12	and	and	CCONJ
cana-810	82	13	endemic	endemic	ADJ
cana-810	82	14	equilibrium	equilibrium	NOUN
cana-810	82	15	points	point	NOUN
cana-810	82	16	,	,	PUNCT
cana-810	82	17	we	we	PRON
cana-810	82	18	used	use	VERB
cana-810	82	19	jacobian	jacobian	ADJ
cana-810	82	20	matrix	matrix	NOUN
cana-810	82	21	to	to	PART
cana-810	82	22	find	find	VERB
cana-810	82	23	out	out	ADP
cana-810	82	24	the	the	DET
cana-810	82	25	negative	negative	ADJ
cana-810	82	26	eigen	eigen	PROPN
cana-810	82	27	values	value	NOUN
cana-810	82	28	,	,	PUNCT
cana-810	82	29	if	if	SCONJ
cana-810	82	30	r0	r0	NOUN
cana-810	82	31	<	<	X
cana-810	82	32	1	1	NUM
cana-810	82	33	the	the	DET
cana-810	82	34	disease	disease	NOUN
cana-810	82	35	-	-	PUNCT
cana-810	82	36	free	free	ADJ
cana-810	82	37	equilibrium	equilibrium	NOUN
cana-810	82	38	is	be	AUX
cana-810	82	39	locally	locally	ADV
cana-810	82	40	asymptotically	asymptotically	ADV
cana-810	82	41	stable.we	stable.we	PRON
cana-810	82	42	construct	construct	VERB
cana-810	82	43	with	with	ADP
cana-810	82	44	a	a	DET
cana-810	82	45	positive	positive	ADJ
cana-810	82	46	magnitude	magnitude	NOUN
cana-810	82	47	of	of	ADP
cana-810	82	48	time	time	NOUN
cana-810	82	49	′t′	′t′	NOUN
cana-810	82	50	for	for	ADP
cana-810	82	51	all	all	DET
cana-810	82	52	the	the	DET
cana-810	82	53	six	six	NUM
cana-810	82	54	regions	region	NOUN
cana-810	82	55	and	and	CCONJ
cana-810	82	56	we	we	PRON
cana-810	82	57	demonstrated	demonstrate	VERB
cana-810	82	58	feasible	feasible	ADJ
cana-810	82	59	region	region	NOUN
cana-810	82	60	ω	ω	PROPN
cana-810	82	61	,	,	PUNCT
cana-810	82	62	we	we	PRON
cana-810	82	63	explored	explore	VERB
cana-810	82	64	uniform	uniform	ADJ
cana-810	82	65	boundaries	boundary	NOUN
cana-810	82	66	condition	condition	NOUN
cana-810	82	67	for	for	ADP
cana-810	82	68	all	all	DET
cana-810	82	69	stages	stage	NOUN
cana-810	82	70	.	.	PUNCT
cana-810	83	1	using	use	VERB
cana-810	83	2	random	random	ADJ
cana-810	83	3	data	datum	NOUN
cana-810	83	4	in	in	ADP
cana-810	83	5	matlab	matlab	PROPN
cana-810	83	6	tool	tool	NOUN
cana-810	83	7	to	to	PART
cana-810	83	8	simulate	simulate	VERB
cana-810	83	9	the	the	DET
cana-810	83	10	result	result	NOUN
cana-810	83	11	of	of	ADP
cana-810	83	12	the	the	DET
cana-810	83	13	model	model	NOUN
cana-810	83	14	through	through	ADP
cana-810	83	15	the	the	DET
cana-810	83	16	diagrammatic	diagrammatic	ADJ
cana-810	83	17	representation	representation	NOUN
cana-810	83	18	.	.	PUNCT
cana-810	84	1	the	the	DET
cana-810	84	2	flowchart	flowchart	NOUN
cana-810	84	3	of	of	ADP
cana-810	84	4	the	the	DET
cana-810	84	5	model	model	NOUN
cana-810	84	6	is	be	AUX
cana-810	84	7	depicted	depict	VERB
cana-810	84	8	in	in	ADP
cana-810	84	9	figure	figure	NOUN
cana-810	84	10	1	1	NUM
cana-810	84	11	.	.	PUNCT
cana-810	85	1	communications	communication	NOUN
cana-810	85	2	on	on	ADP
cana-810	85	3	applied	apply	VERB
cana-810	85	4	nonlinear	nonlinear	ADJ
cana-810	85	5	analysis	analysis	NOUN
cana-810	85	6	issn	issn	NOUN
cana-810	85	7	:	:	PUNCT
cana-810	85	8	1074	1074	NUM
cana-810	85	9	-	-	PUNCT
cana-810	85	10	133x	133x	NUM
cana-810	85	11	vol	vol	NOUN
cana-810	85	12	31	31	NUM
cana-810	85	13	no	no	NOUN
cana-810	85	14	.	.	PUNCT
cana-810	86	1	3s	3s	NUM
cana-810	86	2	(	(	PUNCT
cana-810	86	3	2024	2024	NUM
cana-810	86	4	)	)	PUNCT
cana-810	86	5	563	563	NUM
cana-810	86	6	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	86	7	m	m	PROPN
cana-810	86	8	model	model	NOUN
cana-810	86	9	of	of	ADP
cana-810	86	10	the	the	DET
cana-810	86	11	diagram	diagram	NOUN
cana-810	86	12	fig-1	fig-1	NOUN
cana-810	86	13	.	.	PUNCT
cana-810	87	1	flow	flow	NOUN
cana-810	87	2	chart	chart	NOUN
cana-810	87	3	of	of	ADP
cana-810	87	4	tb	tb	NOUN
cana-810	87	5	model	model	NOUN
cana-810	87	6	model	model	NOUN
cana-810	87	7	of	of	ADP
cana-810	87	8	the	the	DET
cana-810	87	9	equation	equation	NOUN
cana-810	87	10	using	use	VERB
cana-810	87	11	the	the	DET
cana-810	87	12	transmission	transmission	NOUN
cana-810	87	13	illustration	illustration	NOUN
cana-810	87	14	and	and	CCONJ
cana-810	87	15	our	our	PRON
cana-810	87	16	presumptions	presumption	NOUN
cana-810	87	17	,	,	PUNCT
cana-810	87	18	the	the	DET
cana-810	87	19	model	model	NOUN
cana-810	87	20	can	can	AUX
cana-810	87	21	be	be	AUX
cana-810	87	22	expressed	express	VERB
cana-810	87	23	through	through	ADP
cana-810	87	24	the	the	DET
cana-810	87	25	following	follow	VERB
cana-810	87	26	six	six	NUM
cana-810	87	27	ordinary	ordinary	ADJ
cana-810	87	28	differential	differential	ADJ
cana-810	87	29	equations	equation	NOUN
cana-810	87	30	:	:	PUNCT
cana-810	88	1	ds	ds	ADJ
cana-810	88	2	dt	dt	NOUN
cana-810	88	3	=	=	PUNCT
cana-810	88	4	π	π	PROPN
cana-810	88	5	−	−	PROPN
cana-810	88	6	γs	γ	VERB
cana-810	88	7	−	−	PROPN
cana-810	88	8	βs	βs	NOUN
cana-810	89	1	−	−	PROPN
cana-810	89	2	μs	μs	NOUN
cana-810	89	3	de1	de1	PROPN
cana-810	89	4	dt	dt	NOUN
cana-810	89	5	=	=	PUNCT
cana-810	89	6	γs	γs	ADP
cana-810	89	7	−	−	NOUN
cana-810	89	8	σe1	σe1	NOUN
cana-810	90	1	−	−	PROPN
cana-810	90	2	μe1	μe1	NOUN
cana-810	90	3	de2	de2	NOUN
cana-810	90	4	dt	dt	NOUN
cana-810	90	5	=	=	PUNCT
cana-810	90	6	βs	β	NOUN
cana-810	91	1	+	+	CCONJ
cana-810	91	2	δi2	δi2	PROPN
cana-810	91	3	−	−	PRON
cana-810	91	4	ξe2	ξe2	NOUN
cana-810	91	5	−	−	PROPN
cana-810	91	6	μe2(1	μe2(1	NOUN
cana-810	91	7	)	)	PUNCT
cana-810	91	8	di1	di1	NOUN
cana-810	91	9	dt	dt	NOUN
cana-810	92	1	=	=	PUNCT
cana-810	92	2	σe1	σe1	NOUN
cana-810	92	3	+	+	CCONJ
cana-810	92	4	θi2	θi2	NOUN
cana-810	92	5	−ωi1	−ωi1	X
cana-810	92	6	−	−	NOUN
cana-810	92	7	ϑi1	ϑi1	NOUN
cana-810	92	8	−	−	PROPN
cana-810	92	9	μi1	μi1	NOUN
cana-810	93	1	di2	di2	NOUN
cana-810	93	2	dt	dt	X
cana-810	93	3	=	=	PUNCT
cana-810	93	4	ϑi1	ϑi1	NOUN
cana-810	93	5	+	+	CCONJ
cana-810	93	6	ξe2	ξe2	NOUN
cana-810	93	7	−	−	NOUN
cana-810	93	8	δi2	δi2	NOUN
cana-810	93	9	−	−	PROPN
cana-810	93	10	θi2	θi2	NOUN
cana-810	93	11	−	−	NOUN
cana-810	94	1	αi2	αi2	INTJ
cana-810	94	2	−	−	NOUN
cana-810	95	1	μi2	μi2	NOUN
cana-810	95	2	dr	dr	PROPN
cana-810	95	3	dt	dt	PROPN
cana-810	95	4	=	=	PUNCT
cana-810	95	5	ωi1	ωi1	PROPN
cana-810	96	1	+	+	CCONJ
cana-810	96	2	αi2	αi2	VERB
cana-810	96	3	−	−	NOUN
cana-810	96	4	μr	μr	NOUN
cana-810	96	5	subject	subject	ADJ
cana-810	96	6	to	to	ADP
cana-810	96	7	the	the	DET
cana-810	96	8	nonnegative	nonnegative	ADJ
cana-810	96	9	initial	initial	ADJ
cana-810	96	10	conditions	condition	NOUN
cana-810	96	11	s	s	PART
cana-810	96	12	≥	≥	NOUN
cana-810	96	13	0	0	NUM
cana-810	96	14	,	,	PUNCT
cana-810	96	15	e1	e1	VERB
cana-810	96	16	≥	≥	NOUN
cana-810	96	17	0	0	NUM
cana-810	96	18	,	,	PUNCT
cana-810	96	19	e2	e2	PROPN
cana-810	96	20	≥	≥	NUM
cana-810	96	21	0	0	NUM
cana-810	96	22	,	,	PUNCT
cana-810	96	23	i1	i1	PROPN
cana-810	96	24	≥	≥	PROPN
cana-810	96	25	0	0	NUM
cana-810	96	26	,	,	PUNCT
cana-810	96	27	i2	i2	PROPN
cana-810	96	28	≥	≥	NOUN
cana-810	96	29	0	0	NUM
cana-810	96	30	,	,	PUNCT
cana-810	96	31	r	r	NOUN
cana-810	96	32	≥	≥	NOUN
cana-810	96	33	0	0	NUM
cana-810	96	34	state	state	NOUN
cana-810	96	35	of	of	ADP
cana-810	96	36	equilibrium	equilibrium	NOUN
cana-810	96	37	equilibrium	equilibrium	NOUN
cana-810	96	38	is	be	AUX
cana-810	96	39	the	the	DET
cana-810	96	40	state	state	NOUN
cana-810	96	41	of	of	ADP
cana-810	96	42	a	a	DET
cana-810	96	43	solution	solution	NOUN
cana-810	96	44	that	that	PRON
cana-810	96	45	does	do	AUX
cana-810	96	46	n't	not	PART
cana-810	96	47	change	change	VERB
cana-810	96	48	over	over	ADP
cana-810	96	49	time	time	NOUN
cana-810	96	50	.	.	PUNCT
cana-810	97	1	this	this	PRON
cana-810	97	2	implies	imply	VERB
cana-810	97	3	that	that	SCONJ
cana-810	97	4	since	since	SCONJ
cana-810	97	5	the	the	DET
cana-810	97	6	systems	system	NOUN
cana-810	97	7	start	start	VERB
cana-810	97	8	in	in	ADP
cana-810	97	9	balance	balance	NOUN
cana-810	97	10	,	,	PUNCT
cana-810	97	11	the	the	DET
cana-810	97	12	state	state	NOUN
cana-810	97	13	will	will	AUX
cana-810	97	14	continue	continue	VERB
cana-810	97	15	to	to	PART
cana-810	97	16	exist	exist	VERB
cana-810	97	17	in	in	ADP
cana-810	97	18	equilibrium	equilibrium	NOUN
cana-810	97	19	until	until	ADP
cana-810	97	20	the	the	DET
cana-810	97	21	end	end	NOUN
cana-810	97	22	of	of	ADP
cana-810	97	23	time	time	NOUN
cana-810	97	24	.	.	PUNCT
cana-810	98	1	a	a	DET
cana-810	98	2	dynamic	dynamic	ADJ
cana-810	98	3	structure	structure	NOUN
cana-810	98	4	is	be	AUX
cana-810	98	5	always	always	ADV
cana-810	98	6	changing	change	VERB
cana-810	98	7	.	.	PUNCT
cana-810	99	1	here	here	ADV
cana-810	99	2	,	,	PUNCT
cana-810	99	3	we	we	PRON
cana-810	99	4	have	have	VERB
cana-810	99	5	a	a	DET
cana-810	99	6	discrete	discrete	ADJ
cana-810	99	7	dynamical	dynamical	ADJ
cana-810	99	8	system	system	NOUN
cana-810	99	9	at	at	ADP
cana-810	99	10	the	the	DET
cana-810	99	11	discrete	discrete	ADJ
cana-810	99	12	unit	unit	NOUN
cana-810	99	13	estimating	estimate	VERB
cana-810	99	14	point	point	NOUN
cana-810	99	15	of	of	ADP
cana-810	99	16	a	a	DET
cana-810	99	17	period	period	NOUN
cana-810	99	18	.	.	PUNCT
cana-810	100	1	from	from	ADP
cana-810	100	2	the	the	DET
cana-810	100	3	perspective	perspective	NOUN
cana-810	100	4	of	of	ADP
cana-810	100	5	mathematics	mathematic	NOUN
cana-810	100	6	,	,	PUNCT
cana-810	100	7	a	a	DET
cana-810	100	8	discrete	discrete	ADJ
cana-810	100	9	dynamical	dynamical	ADJ
cana-810	100	10	system	system	NOUN
cana-810	100	11	is	be	AUX
cana-810	100	12	defined	define	VERB
cana-810	100	13	as	as	ADP
cana-810	100	14	a	a	DET
cana-810	100	15	set	set	NOUN
cana-810	100	16	of	of	ADP
cana-810	100	17	numbers	number	NOUN
cana-810	100	18	that	that	PRON
cana-810	100	19	are	be	AUX
cana-810	100	20	interconnected	interconnect	VERB
cana-810	100	21	by	by	ADP
cana-810	100	22	the	the	DET
cana-810	100	23	function	function	NOUN
cana-810	100	24	f(yn	f(yn	NOUN
cana-810	100	25	)	)	PUNCT
cana-810	100	26	,	,	PUNCT
cana-810	100	27	where	where	SCONJ
cana-810	100	28	f	f	PROPN
cana-810	100	29	is	be	AUX
cana-810	100	30	a	a	DET
cana-810	100	31	real	real	ADV
cana-810	100	32	-	-	PUNCT
cana-810	100	33	valued	value	VERB
cana-810	100	34	function	function	NOUN
cana-810	100	35	.	.	PUNCT
cana-810	101	1	yn	yn	PRON
cana-810	102	1	+	+	NOUN
cana-810	102	2	1	1	NUM
cana-810	102	3	−	−	PROPN
cana-810	102	4	yn	yn	NOUN
cana-810	102	5	=	=	NOUN
cana-810	102	6	g(yn)is	g(yn)is	NOUN
cana-810	102	7	the	the	DET
cana-810	102	8	iteration	iteration	NOUN
cana-810	102	9	form	form	NOUN
cana-810	102	10	for	for	ADP
cana-810	102	11	a	a	DET
cana-810	102	12	function	function	NOUN
cana-810	102	13	.	.	PUNCT
cana-810	103	1	by	by	ADP
cana-810	103	2	replacing	replace	VERB
cana-810	103	3	yn	yn	PRON
cana-810	103	4	and	and	CCONJ
cana-810	103	5	yn	yn	PRON
cana-810	103	6	+	+	CCONJ
cana-810	103	7	1	1	NUM
cana-810	103	8	with	with	ADP
cana-810	103	9	the	the	DET
cana-810	103	10	same	same	ADJ
cana-810	103	11	quantity	quantity	NOUN
cana-810	103	12	,	,	PUNCT
cana-810	103	13	one	one	PRON
cana-810	103	14	can	can	AUX
cana-810	103	15	find	find	VERB
cana-810	103	16	the	the	DET
cana-810	103	17	equilibria	equilibrium	NOUN
cana-810	103	18	in	in	ADP
cana-810	103	19	different	different	ADJ
cana-810	103	20	configurations	configuration	NOUN
cana-810	103	21	.	.	PUNCT
cana-810	104	1	for	for	ADP
cana-810	104	2	example	example	NOUN
cana-810	104	3	,	,	PUNCT
cana-810	104	4	one	one	PRON
cana-810	104	5	can	can	AUX
cana-810	104	6	substitute	substitute	VERB
cana-810	104	7	yn	yn	PROPN
cana-810	105	1	+	+	CCONJ
cana-810	105	2	1	1	NUM
cana-810	105	3	=	=	SYM
cana-810	105	4	yn	yn	NOUN
cana-810	105	5	=	=	PUNCT
cana-810	105	6	a.	a.	NOUN
cana-810	105	7	a	a	DET
cana-810	105	8	=	=	SYM
cana-810	105	9	f(a	f(a	NOUN
cana-810	105	10	)	)	PUNCT
cana-810	105	11	or	or	CCONJ
cana-810	105	12	0	0	NUM
cana-810	105	13	=	=	SYM
cana-810	105	14	g(a)to	g(a)to	NOUN
cana-810	105	15	find	find	VERB
cana-810	105	16	the	the	DET
cana-810	105	17	value	value	NOUN
cana-810	105	18	"	"	PUNCT
cana-810	105	19	a	a	PRON
cana-810	105	20	"	"	PUNCT
cana-810	105	21	that	that	PRON
cana-810	105	22	ensures	ensure	VERB
cana-810	105	23	yn	yn	X
cana-810	105	24	=	=	SYM
cana-810	105	25	ais	ais	PROPN
cana-810	105	26	the	the	DET
cana-810	105	27	equilibrium	equilibrium	NOUN
cana-810	105	28	of	of	ADP
cana-810	105	29	the	the	DET
cana-810	105	30	dynamic	dynamic	ADJ
cana-810	105	31	structure	structure	NOUN
cana-810	105	32	.	.	PUNCT
cana-810	106	1	a	a	DET
cana-810	106	2	continuous	continuous	ADJ
cana-810	106	3	dynamical	dynamical	ADJ
cana-810	106	4	system	system	NOUN
cana-810	106	5	is	be	AUX
cana-810	106	6	characterized	characterize	VERB
cana-810	106	7	by	by	ADP
cana-810	106	8	the	the	DET
cana-810	106	9	communications	communication	NOUN
cana-810	106	10	on	on	ADP
cana-810	106	11	applied	apply	VERB
cana-810	106	12	nonlinear	nonlinear	ADJ
cana-810	106	13	analysis	analysis	NOUN
cana-810	106	14	issn	issn	NOUN
cana-810	106	15	:	:	PUNCT
cana-810	106	16	1074	1074	NUM
cana-810	106	17	-	-	PUNCT
cana-810	106	18	133x	133x	NUM
cana-810	106	19	vol	vol	NOUN
cana-810	106	20	31	31	NUM
cana-810	106	21	no	no	NOUN
cana-810	106	22	.	.	PUNCT
cana-810	107	1	3s	3s	NUM
cana-810	107	2	(	(	PUNCT
cana-810	107	3	2024	2024	NUM
cana-810	107	4	)	)	PUNCT
cana-810	107	5	564	564	NUM
cana-810	107	6	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	107	7	m	m	NOUN
cana-810	107	8	solution	solution	NOUN
cana-810	107	9	to	to	ADP
cana-810	107	10	the	the	DET
cana-810	107	11	differential	differential	ADJ
cana-810	107	12	equation	equation	NOUN
cana-810	107	13	(	(	PUNCT
cana-810	107	14	eq	eq	NOUN
cana-810	107	15	.	.	PUNCT
cana-810	107	16	)	)	PUNCT
cana-810	108	1	dy	dy	NOUN
cana-810	108	2	dt	dt	NOUN
cana-810	108	3	=	=	SYM
cana-810	108	4	f(y	f(y	NOUN
cana-810	108	5	)	)	PUNCT
cana-810	108	6	.by	.by	PUNCT
cana-810	109	1	setting	set	VERB
cana-810	109	2	dy	dy	NOUN
cana-810	109	3	dt	dt	NOUN
cana-810	109	4	=	=	SYM
cana-810	109	5	0	0	PROPN
cana-810	109	6	,	,	PUNCT
cana-810	109	7	one	one	PRON
cana-810	109	8	can	can	AUX
cana-810	109	9	determine	determine	VERB
cana-810	109	10	equilibrium	equilibrium	NOUN
cana-810	109	11	.	.	PUNCT
cana-810	110	1	we	we	PRON
cana-810	110	2	then	then	ADV
cana-810	110	3	need	need	VERB
cana-810	110	4	to	to	PART
cana-810	110	5	solve	solve	VERB
cana-810	110	6	the	the	DET
cana-810	110	7	equation	equation	NOUN
cana-810	110	8	.	.	PUNCT
cana-810	110	9	0	0	NUM
cana-810	111	1	=	=	PUNCT
cana-810	111	2	g(a	g(a	PROPN
cana-810	111	3	)	)	PUNCT
cana-810	111	4	to	to	PART
cana-810	111	5	find	find	VERB
cana-810	111	6	values	value	NOUN
cana-810	111	7	"	"	PUNCT
cana-810	111	8	a	a	PRON
cana-810	111	9	"	"	PUNCT
cana-810	111	10	such	such	ADJ
cana-810	111	11	that	that	SCONJ
cana-810	111	12	the	the	DET
cana-810	111	13	dynamical	dynamical	ADJ
cana-810	111	14	system	system	NOUN
cana-810	111	15	's	's	PART
cana-810	111	16	equilibrium	equilibrium	NOUN
cana-810	111	17	is	be	AUX
cana-810	111	18	y(t	y(t	PROPN
cana-810	111	19	)	)	PUNCT
cana-810	112	1	=	=	NOUN
cana-810	112	2	a.	a.	NOUN
cana-810	112	3	disease	disease	NOUN
cana-810	112	4	free	free	ADJ
cana-810	112	5	equilibrium	equilibrium	NOUN
cana-810	112	6	point	point	NOUN
cana-810	112	7	(	(	PUNCT
cana-810	112	8	dfep	dfep	NOUN
cana-810	112	9	)	)	PUNCT
cana-810	112	10	the	the	DET
cana-810	112	11	model	model	NOUN
cana-810	112	12	(	(	PUNCT
cana-810	112	13	1	1	X
cana-810	112	14	)	)	PUNCT
cana-810	112	15	has	have	VERB
cana-810	112	16	a	a	DET
cana-810	112	17	dfe	dfe	PROPN
cana-810	112	18	given	give	VERB
cana-810	112	19	by	by	ADP
cana-810	112	20	ds	ds	ADJ
cana-810	113	1	dt	dt	NOUN
cana-810	113	2	=	=	PUNCT
cana-810	113	3	π	π	PROPN
cana-810	113	4	−	−	PROPN
cana-810	113	5	γs	γ	VERB
cana-810	113	6	−	−	PROPN
cana-810	113	7	βs	βs	NOUN
cana-810	114	1	−	−	PROPN
cana-810	114	2	μs	μs	NOUN
cana-810	114	3	s	s	NOUN
cana-810	114	4	=	=	SYM
cana-810	114	5	π	π	X
cana-810	114	6	dfepdisease	dfepdisease	VERB
cana-810	114	7	free	free	ADJ
cana-810	114	8	equilibrium	equilibrium	NOUN
cana-810	114	9	point	point	NOUN
cana-810	114	10	is(π	is(π	NOUN
cana-810	114	11	,	,	PUNCT
cana-810	114	12	0,0,0,0,0)(2	0,0,0,0,0)(2	NOUN
cana-810	114	13	)	)	PUNCT
cana-810	114	14	endemic	endemic	ADJ
cana-810	114	15	equilibrium	equilibrium	NOUN
cana-810	114	16	point	point	NOUN
cana-810	114	17	let	let	VERB
cana-810	114	18	(	(	PUNCT
cana-810	114	19	e∗=e∗=	e∗=e∗=	NOUN
cana-810	114	20	(	(	PUNCT
cana-810	114	21	s∗	s∗	PROPN
cana-810	114	22	,	,	PUNCT
cana-810	114	23	e1	e1	NOUN
cana-810	114	24	∗	∗	NOUN
cana-810	114	25	,	,	PUNCT
cana-810	114	26	e2	e2	PROPN
cana-810	114	27	∗	∗	NOUN
cana-810	114	28	,	,	PUNCT
cana-810	114	29	i1	i1	PROPN
cana-810	114	30	∗	∗	PROPN
cana-810	114	31	,	,	PUNCT
cana-810	114	32	i1	i1	PROPN
cana-810	114	33	∗	∗	PROPN
cana-810	114	34	,	,	PUNCT
cana-810	114	35	r∗	r∗	ADJ
cana-810	114	36	)	)	PUNCT
cana-810	114	37	∈	∈	PROPN
cana-810	114	38	ψ	ψ	X
cana-810	114	39	be	be	AUX
cana-810	114	40	the	the	DET
cana-810	114	41	equilibrium	equilibrium	NOUN
cana-810	114	42	points	point	NOUN
cana-810	114	43	of	of	ADP
cana-810	114	44	the	the	DET
cana-810	114	45	organization	organization	NOUN
cana-810	114	46	that	that	PRON
cana-810	114	47	the	the	DET
cana-810	114	48	equations	equation	NOUN
cana-810	114	49	arrange	arrange	VERB
cana-810	114	50	.	.	PUNCT
cana-810	115	1	first	first	ADV
cana-810	115	2	of	of	ADP
cana-810	115	3	all	all	PRON
cana-810	115	4	,	,	PUNCT
cana-810	115	5	implementing	implement	VERB
cana-810	115	6	the	the	DET
cana-810	115	7	condition	condition	NOUN
cana-810	115	8	yields	yield	VERB
cana-810	115	9	the	the	DET
cana-810	115	10	states	state	NOUN
cana-810	115	11	of	of	ADP
cana-810	115	12	equilibrium	equilibrium	NOUN
cana-810	115	13	.	.	PUNCT
cana-810	116	1	s∗	s∗	PROPN
cana-810	116	2	=	=	SYM
cana-810	116	3	0(3	0(3	NOUN
cana-810	116	4	)	)	PUNCT
cana-810	117	1	e1	e1	NOUN
cana-810	117	2	∗	∗	NOUN
cana-810	117	3	=	=	SYM
cana-810	117	4	0(4	0(4	NUM
cana-810	117	5	)	)	PUNCT
cana-810	117	6	e2	e2	PROPN
cana-810	117	7	∗	∗	NOUN
cana-810	117	8	=	=	PUNCT
cana-810	117	9	β	β	X
cana-810	117	10	(	(	PUNCT
cana-810	117	11	π	π	NOUN
cana-810	117	12	γ+β+μ	γ+β+μ	NOUN
cana-810	117	13	)	)	PUNCT
cana-810	117	14	+	+	NOUN
cana-810	117	15	δi2	δi2	X
cana-810	117	16	ξ+μ	ξ+μ	X
cana-810	117	17	(	(	PUNCT
cana-810	117	18	5	5	X
cana-810	117	19	)	)	PUNCT
cana-810	117	20	i1	i1	PROPN
cana-810	117	21	∗	∗	PROPN
cana-810	117	22	=	=	SYM
cana-810	117	23	σ	σ	PROPN
cana-810	117	24	(	(	PUNCT
cana-810	117	25	γs	γs	ADP
cana-810	117	26	σ+μ	σ+μ	PROPN
cana-810	117	27	)	)	PUNCT
cana-810	118	1	+	+	ADP
cana-810	118	2	θi2	θi2	NOUN
cana-810	118	3	ω+ϑ+μ	ω+ϑ+μ	NOUN
cana-810	118	4	(	(	PUNCT
cana-810	118	5	6	6	X
cana-810	118	6	)	)	PUNCT
cana-810	118	7	i2	i2	NOUN
cana-810	118	8	∗	∗	NOUN
cana-810	118	9	=	=	PUNCT
cana-810	118	10	ϑ	ϑ	X
cana-810	118	11	(	(	PUNCT
cana-810	118	12	σe1+θi2	σe1+θi2	NOUN
cana-810	118	13	ω+ϑ+μ	ω+ϑ+μ	NOUN
cana-810	118	14	)	)	PUNCT
cana-810	118	15	)	)	PUNCT
cana-810	118	16	−ξ	−ξ	NOUN
cana-810	118	17	(	(	PUNCT
cana-810	118	18	βs+δi2	βs+δi2	X
cana-810	118	19	ξ+μ	ξ+μ	NUM
cana-810	118	20	)	)	PUNCT
cana-810	118	21	δ+θ+α+μ	δ+θ+α+μ	PROPN
cana-810	118	22	(	(	PUNCT
cana-810	118	23	7	7	X
cana-810	118	24	)	)	PUNCT
cana-810	118	25	r∗	r∗	NOUN
cana-810	118	26	=	=	SYM
cana-810	118	27	ω	ω	PROPN
cana-810	118	28	(	(	PUNCT
cana-810	118	29	σe1+θi2	σe1+θi2	NOUN
cana-810	118	30	ω+ϑ+μ	ω+ϑ+μ	NOUN
cana-810	118	31	)	)	PUNCT
cana-810	119	1	+	+	NOUN
cana-810	119	2	α	α	PROPN
cana-810	119	3	(	(	PUNCT
cana-810	119	4	ϑi1+ξe2	ϑi1+ξe2	PROPN
cana-810	119	5	δ+θ+α+μ	δ+θ+α+μ	PROPN
cana-810	119	6	)	)	PUNCT
cana-810	119	7	μ	μ	PROPN
cana-810	119	8	(	(	PUNCT
cana-810	119	9	8)	8)	NUM
cana-810	119	10	reproduction	reproduction	NOUN
cana-810	119	11	number	number	NOUN
cana-810	119	12	the	the	DET
cana-810	119	13	next	next	ADJ
cana-810	119	14	-	-	PUNCT
cana-810	119	15	generation	generation	NOUN
cana-810	119	16	matrix	matrix	NOUN
cana-810	119	17	method	method	NOUN
cana-810	119	18	will	will	AUX
cana-810	119	19	be	be	AUX
cana-810	119	20	used	use	VERB
cana-810	119	21	to	to	PART
cana-810	119	22	determine	determine	VERB
cana-810	119	23	r0	r0	NOUN
cana-810	119	24	after	after	SCONJ
cana-810	119	25	we	we	PRON
cana-810	119	26	have	have	AUX
cana-810	119	27	distinguished	distinguish	VERB
cana-810	119	28	the	the	DET
cana-810	119	29	classes	class	NOUN
cana-810	119	30	in	in	ADP
cana-810	119	31	our	our	PRON
cana-810	119	32	model	model	NOUN
cana-810	119	33	.	.	PUNCT
cana-810	120	1	one	one	NUM
cana-810	120	2	of	of	ADP
cana-810	120	3	the	the	DET
cana-810	120	4	infectious	infectious	ADJ
cana-810	120	5	virus	virus	NOUN
cana-810	120	6	classes	class	NOUN
cana-810	120	7	is	be	AUX
cana-810	120	8	tuberculosis	tuberculosis	NOUN
cana-810	120	9	.	.	PUNCT
cana-810	121	1	the	the	DET
cana-810	121	2	tb	tb	NOUN
cana-810	121	3	reproduction	reproduction	NOUN
cana-810	121	4	number	number	NOUN
cana-810	121	5	r0will	r0will	NOUN
cana-810	121	6	therefore	therefore	ADV
cana-810	121	7	be	be	AUX
cana-810	121	8	established	establish	VERB
cana-810	121	9	.	.	PUNCT
cana-810	122	1	we	we	PRON
cana-810	122	2	determine	determine	VERB
cana-810	122	3	the	the	DET
cana-810	122	4	reproduction	reproduction	NOUN
cana-810	122	5	number	number	NOUN
cana-810	122	6	r0	r0	NOUN
cana-810	122	7	and	and	CCONJ
cana-810	122	8	identify	identify	VERB
cana-810	122	9	the	the	DET
cana-810	122	10	infected	infected	ADJ
cana-810	122	11	cases	case	NOUN
cana-810	122	12	of	of	ADP
cana-810	122	13	i2	i2	NOUN
cana-810	122	14	such	such	ADJ
cana-810	122	15	as	as	ADP
cana-810	122	16	,	,	PUNCT
cana-810	122	17	f	f	PROPN
cana-810	122	18	=	=	SYM
cana-810	122	19	incoming	incoming	ADJ
cana-810	122	20	of	of	ADP
cana-810	122	21	infected	infected	ADJ
cana-810	122	22	region	region	NOUN
cana-810	122	23	v	v	ADP
cana-810	122	24	=	=	NOUN
cana-810	122	25	outgoing	outgoing	ADJ
cana-810	122	26	of	of	ADP
cana-810	122	27	infected	infected	ADJ
cana-810	122	28	region	region	NOUN
cana-810	122	29	f	f	PROPN
cana-810	122	30	=	=	PRON
cana-810	122	31	(	(	PUNCT
cana-810	122	32	ϑi1	ϑi1	NOUN
cana-810	122	33	+	+	CCONJ
cana-810	122	34	ξe2	ξe2	NOUN
cana-810	122	35	0	0	NUM
cana-810	122	36	0	0	NUM
cana-810	122	37	0	0	NUM
cana-810	122	38	0	0	NUM
cana-810	122	39	0	0	NUM
cana-810	122	40	)	)	PUNCT
cana-810	122	41	v	v	NOUN
cana-810	122	42	=	=	PUNCT
cana-810	122	43	(	(	PUNCT
cana-810	122	44	δi2	δi2	PROPN
cana-810	123	1	+	+	CCONJ
cana-810	123	2	θi2	θi2	NOUN
cana-810	123	3	+	+	NOUN
cana-810	123	4	αi2	αi2	VERB
cana-810	123	5	+	+	CCONJ
cana-810	123	6	μi2	μi2	NOUN
cana-810	123	7	γs	γs	VERB
cana-810	123	8	+	+	X
cana-810	123	9	βs	βs	NOUN
cana-810	124	1	+	+	NUM
cana-810	124	2	μs	μs	PRON
cana-810	124	3	σe1	σe1	NOUN
cana-810	124	4	+	+	CCONJ
cana-810	124	5	μe1	μe1	NOUN
cana-810	124	6	ξe2	ξe2	NOUN
cana-810	124	7	+	+	CCONJ
cana-810	124	8	μi2	μi2	X
cana-810	124	9	ωi1	ωi1	NOUN
cana-810	124	10	+	+	CCONJ
cana-810	124	11	ϑi1	ϑi1	NOUN
cana-810	124	12	+	+	CCONJ
cana-810	124	13	μi1	μi1	NUM
cana-810	124	14	μr	μr	NOUN
cana-810	124	15	)	)	PUNCT
cana-810	124	16	(	(	PUNCT
cana-810	124	17	9	9	X
cana-810	124	18	)	)	PUNCT
cana-810	124	19	communications	communication	NOUN
cana-810	124	20	on	on	ADP
cana-810	124	21	applied	apply	VERB
cana-810	124	22	nonlinear	nonlinear	ADJ
cana-810	124	23	analysis	analysis	NOUN
cana-810	124	24	issn	issn	NOUN
cana-810	124	25	:	:	PUNCT
cana-810	124	26	1074	1074	NUM
cana-810	124	27	-	-	PUNCT
cana-810	124	28	133x	133x	NUM
cana-810	124	29	vol	vol	NOUN
cana-810	124	30	31	31	NUM
cana-810	124	31	no	no	NOUN
cana-810	124	32	.	.	PUNCT
cana-810	125	1	3s	3s	NUM
cana-810	125	2	(	(	PUNCT
cana-810	125	3	2024	2024	NUM
cana-810	125	4	)	)	PUNCT
cana-810	125	5	565	565	NUM
cana-810	125	6	https://internationalpubls.co	https://internationalpubls.co	X
cana-810	125	7	m	m	NOUN
cana-810	125	8	f	f	NOUN
cana-810	125	9	=	=	PUNCT
cana-810	125	10	ϑi1	ϑi1	NOUN
cana-810	125	11	+	+	CCONJ
cana-810	125	12	ξe2	ξe2	NOUN
cana-810	125	13	v	v	NOUN
cana-810	125	14	=	=	PUNCT
cana-810	125	15	(	(	PUNCT
cana-810	125	16	δ	δ	PROPN
cana-810	125	17	+	+	NUM
cana-810	125	18	θ	θ	PROPN
cana-810	126	1	+	+	CCONJ
cana-810	126	2	α	α	PROPN
cana-810	126	3	+	+	X
cana-810	126	4	μ)i2	μ)i2	PROPN
cana-810	126	5	fv−1	fv−1	NOUN
cana-810	126	6	=	=	PUNCT
cana-810	126	7	ϑi1	ϑi1	NOUN
cana-810	126	8	+	+	CCONJ
cana-810	127	1	ξe2	ξe2	PROPN
cana-810	127	2	(	(	PUNCT
cana-810	127	3	δ	δ	PROPN
cana-810	127	4	+	+	NUM
cana-810	127	5	θ	θ	PROPN
cana-810	128	1	+	+	CCONJ
cana-810	128	2	α	α	PROPN
cana-810	128	3	+	+	CCONJ
cana-810	128	4	μ)i2	μ)i2	PROPN
cana-810	128	5	r0	r0	NOUN
cana-810	128	6	=	=	PUNCT
cana-810	128	7	ϑi1+ξe2	ϑi1+ξe2	PROPN
cana-810	128	8	(	(	PUNCT
cana-810	128	9	δ+θ+α+μ)i2	δ+θ+α+μ)i2	PROPN
cana-810	128	10	(	(	PUNCT
cana-810	128	11	10	10	NUM
cana-810	128	12	)	)	PUNCT
cana-810	128	13	the	the	DET
cana-810	128	14	fundamental	fundamental	ADJ
cana-810	128	15	reproduction	reproduction	NOUN
cana-810	128	16	number	number	NOUN
cana-810	128	17	r0	r0	NOUN
cana-810	128	18	is	be	AUX
cana-810	128	19	obtained	obtain	VERB
cana-810	128	20	from	from	ADP
cana-810	128	21	equation	equation	NOUN
cana-810	128	22	(	(	PUNCT
cana-810	128	23	9	9	NUM
cana-810	128	24	)	)	PUNCT
cana-810	128	25	.	.	PUNCT
cana-810	129	1	therefore	therefore	ADV
cana-810	129	2	,	,	PUNCT
cana-810	129	3	in	in	ADP
cana-810	129	4	the	the	DET
cana-810	129	5	diseasefree	diseasefree	NOUN
cana-810	129	6	case	case	NOUN
cana-810	129	7	,	,	PUNCT
cana-810	129	8	the	the	DET
cana-810	129	9	equilibrium	equilibrium	NOUN
cana-810	129	10	points	point	NOUN
cana-810	129	11	of	of	ADP
cana-810	129	12	the	the	DET
cana-810	129	13	se1e2i1i2r	se1e2i1i2r	PROPN
cana-810	129	14	model	model	NOUN
cana-810	129	15	is	be	AUX
cana-810	129	16	asymptotically	asymptotically	ADV
cana-810	129	17	stable	stable	ADJ
cana-810	129	18	.	.	PUNCT
cana-810	130	1	reproduction	reproduction	NOUN
cana-810	130	2	number	number	NOUN
cana-810	130	3	r0	r0	NOUN
cana-810	130	4	is	be	AUX
cana-810	130	5	derived	derive	VERB
cana-810	130	6	from	from	ADP
cana-810	130	7	equation	equation	NOUN
cana-810	130	8	(	(	PUNCT
cana-810	130	9	9	9	NUM
cana-810	130	10	)	)	PUNCT
cana-810	130	11	.	.	PUNCT
cana-810	131	1	thus	thus	ADV
cana-810	131	2	,	,	PUNCT
cana-810	131	3	the	the	DET
cana-810	131	4	equilibrium	equilibrium	NOUN
cana-810	131	5	point	point	NOUN
cana-810	131	6	of	of	ADP
cana-810	131	7	this	this	DET
cana-810	131	8	model	model	NOUN
cana-810	131	9	is	be	AUX
cana-810	131	10	disease	disease	NOUN
cana-810	131	11	-	-	PUNCT
cana-810	131	12	free	free	ADJ
cana-810	131	13	case	case	NOUN
cana-810	131	14	and	and	CCONJ
cana-810	131	15	its	its	PRON
cana-810	131	16	asymptotically	asymptotically	ADV
cana-810	131	17	stable	stable	ADJ
cana-810	131	18	.	.	PUNCT
cana-810	132	1	local	local	ADJ
cana-810	132	2	stability	stability	NOUN
cana-810	132	3	of	of	ADP
cana-810	132	4	disease	disease	NOUN
cana-810	132	5	-	-	PUNCT
cana-810	132	6	free	free	ADJ
cana-810	132	7	equilibrium	equilibrium	NOUN
cana-810	132	8	point	point	NOUN
cana-810	132	9	theorem1	theorem1	INTJ
cana-810	132	10	.	.	PUNCT
cana-810	133	1	if	if	SCONJ
cana-810	133	2	r0	r0	NOUN
cana-810	133	3	<	<	X
cana-810	133	4	1	1	NUM
cana-810	133	5	the	the	DET
cana-810	133	6	disease	disease	NOUN
cana-810	133	7	-	-	PUNCT
cana-810	133	8	free	free	ADJ
cana-810	133	9	equilibrium	equilibrium	NOUN
cana-810	133	10	is	be	AUX
cana-810	133	11	locally	locally	ADV
cana-810	133	12	asymptotically	asymptotically	ADV
cana-810	133	13	stable	stable	ADJ
cana-810	133	14	,	,	PUNCT
cana-810	133	15	otherwise	otherwise	ADV
cana-810	133	16	unstable	unstable	ADJ
cana-810	133	17	if	if	SCONJ
cana-810	133	18	r0	r0	NOUN
cana-810	133	19	>	>	X
cana-810	133	20	1	1	NUM
cana-810	133	21	the	the	DET
cana-810	133	22	jacobian	jacobian	ADJ
cana-810	133	23	matrix	matrix	NOUN
cana-810	133	24	of	of	ADP
cana-810	133	25	the	the	DET
cana-810	133	26	model	model	NOUN
cana-810	133	27	is	be	AUX
cana-810	133	28	given	give	VERB
cana-810	133	29	.	.	PUNCT
cana-810	134	1	proof	proof	NOUN
cana-810	134	2	the	the	DET
cana-810	134	3	local	local	ADJ
cana-810	134	4	stability	stability	NOUN
cana-810	134	5	of	of	ADP
cana-810	134	6	the	the	DET
cana-810	134	7	tb	tb	NOUN
cana-810	134	8	disease	disease	NOUN
cana-810	134	9	-	-	PUNCT
cana-810	134	10	free	free	ADJ
cana-810	134	11	equilibrium	equilibrium	NOUN
cana-810	134	12	is	be	AUX
cana-810	134	13	determined	determine	VERB
cana-810	134	14	by	by	ADP
cana-810	134	15	using	use	VERB
cana-810	134	16	the	the	DET
cana-810	134	17	jacobian	jacobian	ADJ
cana-810	134	18	matrix	matrix	NOUN
cana-810	134	19	of	of	ADP
cana-810	134	20	equation	equation	NOUN
cana-810	134	21	(	(	PUNCT
cana-810	134	22	1	1	NUM
cana-810	134	23	)	)	PUNCT
cana-810	134	24	at	at	ADP
cana-810	134	25	the	the	DET
cana-810	134	26	disease	disease	NOUN
cana-810	134	27	-	-	PUNCT
cana-810	134	28	free	free	ADJ
cana-810	134	29	equilibrium	equilibrium	NOUN
cana-810	134	30	point	point	NOUN
cana-810	134	31	.	.	PUNCT
cana-810	135	1	using	use	VERB
cana-810	135	2	equation	equation	NOUN
cana-810	135	3	(	(	PUNCT
cana-810	135	4	1	1	NUM
cana-810	135	5	)	)	PUNCT
cana-810	135	6	of	of	ADP
cana-810	135	7	the	the	DET
cana-810	135	8	system	system	NOUN
cana-810	135	9	as	as	SCONJ
cana-810	135	10	follows	follow	VERB
cana-810	135	11	,	,	PUNCT
cana-810	135	12	the	the	DET
cana-810	135	13	model	model	NOUN
cana-810	135	14	's	's	PART
cana-810	135	15	jacobian	jacobian	ADJ
cana-810	135	16	matrix	matrix	NOUN
cana-810	135	17	is	be	AUX
cana-810	135	18	provided	provide	VERB
cana-810	135	19	by	by	ADP
cana-810	135	20	j	j	PROPN
cana-810	135	21	=	=	SYM
cana-810	136	1	|	|	ADV
cana-810	136	2	|	|	ADV
cana-810	136	3	−	−	PROPN
cana-810	136	4	(	(	PUNCT
cana-810	136	5	γ	γ	X
cana-810	136	6	+	+	X
cana-810	136	7	β	β	PROPN
cana-810	136	8	+	+	X
cana-810	136	9	μ	μ	NOUN
cana-810	136	10	)	)	PUNCT
cana-810	136	11	0	0	NUM
cana-810	136	12	0	0	NUM
cana-810	136	13	0	0	NUM
cana-810	136	14	0	0	NUM
cana-810	136	15	0	0	NUM
cana-810	136	16	γ	γ	X
cana-810	136	17	−σ	−σ	NOUN
cana-810	137	1	−	−	PROPN
cana-810	137	2	μ	μ	PROPN
cana-810	137	3	0	0	NUM
cana-810	137	4	0	0	NUM
cana-810	137	5	0	0	NUM
cana-810	137	6	0	0	NUM
cana-810	137	7	β	β	SYM
cana-810	137	8	0	0	NUM
cana-810	137	9	−ξ	−ξ	NOUN
cana-810	137	10	−	−	PROPN
cana-810	138	1	μ	μ	NOUN
cana-810	138	2	0	0	NUM
cana-810	138	3	δ	δ	NOUN
cana-810	138	4	0	0	NUM
cana-810	138	5	0	0	NUM
cana-810	139	1	σ	σ	NOUN
cana-810	139	2	0	0	NUM
cana-810	139	3	−ω	−ω	ADJ
cana-810	139	4	−	−	PROPN
cana-810	139	5	ϑ	ϑ	PROPN
cana-810	139	6	−	−	PROPN
cana-810	139	7	μ	μ	NUM
cana-810	139	8	θ	θ	PROPN
cana-810	139	9	0	0	NUM
cana-810	139	10	0	0	NUM
cana-810	139	11	0	0	NUM
cana-810	139	12	ζ	ζ	NOUN
cana-810	139	13	ϑ	ϑ	X
cana-810	139	14	−δ	−δ	ADJ
cana-810	139	15	−	−	PROPN
cana-810	139	16	θ	θ	PROPN
cana-810	139	17	−	−	PROPN
cana-810	140	1	α	α	INTJ
cana-810	140	2	−	−	PROPN
cana-810	141	1	μ	μ	NOUN
cana-810	141	2	0	0	NUM
cana-810	141	3	0	0	NUM
cana-810	141	4	0	0	NUM
cana-810	141	5	0	0	NUM
cana-810	141	6	ω	ω	NUM
cana-810	141	7	α	α	NOUN
cana-810	141	8	−μ	−μ	ADV
cana-810	142	1	|	|	ADV
cana-810	142	2	|	|	ADV
cana-810	142	3	(	(	PUNCT
cana-810	142	4	11	11	X
cana-810	142	5	)	)	PUNCT
cana-810	142	6	finding	find	VERB
cana-810	142	7	the	the	DET
cana-810	142	8	determinant	determinant	NOUN
cana-810	142	9	of	of	ADP
cana-810	142	10	the	the	DET
cana-810	142	11	dfep	dfep	NOUN
cana-810	142	12	using	use	VERB
cana-810	142	13	jacobian	jacobian	ADJ
cana-810	142	14	matrix	matrix	NOUN
cana-810	142	15	are	be	AUX
cana-810	142	16	follows	follow	VERB
cana-810	142	17	,	,	PUNCT
cana-810	142	18	|j	|j	NOUN
cana-810	142	19	−	−	PUNCT
cana-810	143	1	λi|	λi|	NOUN
cana-810	143	2	=	=	SYM
cana-810	143	3	0	0	PUNCT
cana-810	144	1	|	|	ADV
cana-810	144	2	|	|	ADV
cana-810	144	3	−(γ	−(γ	ADJ
cana-810	144	4	+	+	X
cana-810	144	5	β	β	X
cana-810	144	6	+	+	NUM
cana-810	144	7	μ	μ	NOUN
cana-810	144	8	)	)	PUNCT
cana-810	144	9	−	−	PROPN
cana-810	145	1	λ	λ	NOUN
cana-810	145	2	0	0	NUM
cana-810	145	3	0	0	NUM
cana-810	145	4	0	0	NUM
cana-810	145	5	0	0	NUM
cana-810	145	6	0	0	NUM
cana-810	145	7	γ	γ	X
cana-810	145	8	−σ	−σ	NOUN
cana-810	145	9	−	−	PROPN
cana-810	145	10	μ	μ	NOUN
cana-810	145	11	−	−	PROPN
cana-810	146	1	λ	λ	NOUN
cana-810	146	2	0	0	NUM
cana-810	146	3	0	0	NUM
cana-810	146	4	0	0	NUM
cana-810	146	5	0	0	NUM
cana-810	146	6	β	β	SYM
cana-810	146	7	0	0	NUM
cana-810	146	8	−ξ	−ξ	NOUN
cana-810	146	9	−	−	PROPN
cana-810	146	10	μ	μ	NOUN
cana-810	146	11	−	−	PROPN
cana-810	147	1	λ	λ	X
cana-810	147	2	0	0	PUNCT
cana-810	147	3	δ	δ	NOUN
cana-810	147	4	0	0	NUM
cana-810	147	5	0	0	NUM
cana-810	147	6	σ	σ	NOUN
cana-810	147	7	0	0	NUM
cana-810	148	1	−ω	−ω	ADJ
cana-810	148	2	−	−	PROPN
cana-810	148	3	ϑ	ϑ	PROPN
cana-810	148	4	−	−	PROPN
cana-810	148	5	μ	μ	NUM
cana-810	148	6	−	−	PROPN
cana-810	148	7	λ	λ	NOUN
cana-810	148	8	θ	θ	NOUN
cana-810	148	9	0	0	NUM
cana-810	148	10	0	0	NUM
cana-810	148	11	0	0	NUM
cana-810	148	12	ζ	ζ	NOUN
cana-810	148	13	ϑ	ϑ	X
cana-810	148	14	−δ	−δ	ADJ
cana-810	148	15	−	−	PROPN
cana-810	148	16	θ	θ	PROPN
cana-810	148	17	−	−	PROPN
cana-810	149	1	α	α	INTJ
cana-810	149	2	−	−	PROPN
cana-810	149	3	μ	μ	NOUN
cana-810	149	4	−	−	PROPN
cana-810	150	1	λ	λ	NOUN
cana-810	150	2	0	0	NUM
cana-810	150	3	0	0	NUM
cana-810	150	4	0	0	NUM
cana-810	150	5	0	0	NUM
cana-810	150	6	ω	ω	NUM
cana-810	150	7	α	α	NOUN
cana-810	150	8	−μ	−μ	ADV
cana-810	150	9	−	−	PROPN
cana-810	151	1	λ	λ	INTJ
cana-810	151	2	|	|	ADV
cana-810	152	1	|	|	ADV
cana-810	152	2	=	=	SYM
cana-810	152	3	0(12	0(12	NUM
cana-810	152	4	)	)	PUNCT
cana-810	153	1	here	here	ADV
cana-810	153	2	we	we	PRON
cana-810	153	3	got	get	VERB
cana-810	153	4	six	six	NUM
cana-810	153	5	negative	negative	ADJ
cana-810	153	6	eigen	eigen	PROPN
cana-810	153	7	values	value	NOUN
cana-810	153	8	,	,	PUNCT
cana-810	153	9	the	the	DET
cana-810	153	10	dfe	dfe	PROPN
cana-810	153	11	(	(	PUNCT
cana-810	153	12	disease	disease	NOUN
cana-810	153	13	free	free	ADJ
cana-810	153	14	equilibrium	equilibrium	NOUN
cana-810	153	15	point	point	NOUN
cana-810	153	16	)	)	PUNCT
cana-810	153	17	is	be	AUX
cana-810	153	18	locally	locally	ADV
cana-810	153	19	asymptotically	asymptotically	ADV
cana-810	153	20	stable	stable	ADJ
cana-810	153	21	.	.	PUNCT
cana-810	154	1	consequently	consequently	ADV
cana-810	154	2	,	,	PUNCT
cana-810	154	3	the	the	DET
cana-810	154	4	evidence	evidence	NOUN
cana-810	154	5	which	which	PRON
cana-810	154	6	r0	r0	VERB
cana-810	154	7	<	<	X
cana-810	154	8	1	1	NUM
cana-810	154	9	implies	imply	VERB
cana-810	154	10	the	the	DET
cana-810	154	11	disease	disease	NOUN
cana-810	154	12	-	-	PUNCT
cana-810	154	13	free	free	ADJ
cana-810	154	14	equilibrium	equilibrium	NOUN
cana-810	154	15	point	point	NOUN
cana-810	154	16	is	be	AUX
cana-810	154	17	las	las	PROPN
cana-810	154	18	.	.	PROPN
cana-810	154	19	communications	communication	NOUN
cana-810	154	20	on	on	ADP
cana-810	154	21	applied	apply	VERB
cana-810	154	22	nonlinear	nonlinear	ADJ
cana-810	154	23	analysis	analysis	NOUN
cana-810	154	24	issn	issn	NOUN
cana-810	154	25	:	:	PUNCT
cana-810	154	26	1074	1074	NUM
cana-810	154	27	-	-	PUNCT
cana-810	154	28	133x	133x	NUM
cana-810	154	29	vol	vol	NOUN
cana-810	154	30	31	31	NUM
cana-810	154	31	no	no	NOUN
cana-810	154	32	.	.	PUNCT
cana-810	155	1	3s	3s	NUM
cana-810	155	2	(	(	PUNCT
cana-810	155	3	2024	2024	NUM
cana-810	155	4	)	)	PUNCT
cana-810	155	5	566	566	NUM
cana-810	155	6	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	155	7	m	m	PROPN
cana-810	155	8	theorem2	theorem2	NOUN
cana-810	155	9	.	.	PUNCT
cana-810	156	1	the	the	DET
cana-810	156	2	system	system	NOUN
cana-810	156	3	of	of	ADP
cana-810	156	4	solutions	solution	NOUN
cana-810	156	5	(	(	PUNCT
cana-810	156	6	1	1	NUM
cana-810	156	7	)	)	PUNCT
cana-810	156	8	is	be	AUX
cana-810	156	9	positive	positive	ADJ
cana-810	156	10	boundaries	boundary	NOUN
cana-810	156	11	for	for	ADP
cana-810	156	12	all	all	DET
cana-810	156	13	individuals	individual	NOUN
cana-810	156	14	(	(	PUNCT
cana-810	156	15	s	s	PROPN
cana-810	156	16	,	,	PUNCT
cana-810	156	17	e1	e1	PROPN
cana-810	156	18	,	,	PUNCT
cana-810	156	19	e2	e2	PROPN
cana-810	156	20	,	,	PUNCT
cana-810	156	21	i1	i1	PROPN
cana-810	156	22	,	,	PUNCT
cana-810	156	23	i2	i2	PROPN
cana-810	156	24	,	,	PUNCT
cana-810	156	25	r	r	NOUN
cana-810	156	26	)	)	PUNCT
cana-810	156	27	∈	∈	PROPN
cana-810	156	28	ℝ+	ℝ+	PUNCT
cana-810	156	29	6	6	NUM
cana-810	156	30	and	and	CCONJ
cana-810	156	31	also	also	ADV
cana-810	156	32	construct	construct	VERB
cana-810	156	33	with	with	ADP
cana-810	156	34	a	a	DET
cana-810	156	35	positive	positive	ADJ
cana-810	156	36	magnitude	magnitude	NOUN
cana-810	156	37	of	of	ADP
cana-810	156	38	time	time	NOUN
cana-810	156	39	'	'	PUNCT
cana-810	156	40	t	t	NOUN
cana-810	156	41	'	'	PUNCT
cana-810	156	42	as	as	ADV
cana-810	156	43	well	well	ADV
cana-810	156	44	.	.	PUNCT
cana-810	157	1	proof	proof	NOUN
cana-810	157	2	ds	ds	PRON
cana-810	157	3	dt	dt	X
cana-810	157	4	(	(	PUNCT
cana-810	157	5	ats	ats	PROPN
cana-810	157	6	=	=	SYM
cana-810	157	7	0	0	NUM
cana-810	157	8	)	)	PUNCT
cana-810	157	9	⇒	⇒	NOUN
cana-810	157	10	π	π	PROPN
cana-810	157	11	≥	≥	NUM
cana-810	157	12	0	0	NUM
cana-810	157	13	(	(	PUNCT
cana-810	157	14	13	13	NUM
cana-810	157	15	)	)	PUNCT
cana-810	157	16	de1	de1	NOUN
cana-810	157	17	dt	dt	PROPN
cana-810	157	18	(	(	PUNCT
cana-810	157	19	ate1	ate1	NOUN
cana-810	157	20	=	=	SYM
cana-810	157	21	0	0	X
cana-810	157	22	)	)	PUNCT
cana-810	157	23	⇒	⇒	NOUN
cana-810	157	24	γs	γ	VERB
cana-810	157	25	≥	≥	NOUN
cana-810	157	26	0	0	NUM
cana-810	157	27	(	(	PUNCT
cana-810	157	28	14	14	NUM
cana-810	157	29	)	)	PUNCT
cana-810	157	30	de2	de2	NOUN
cana-810	157	31	dt	dt	NOUN
cana-810	158	1	(	(	PUNCT
cana-810	158	2	ate2	ate2	PROPN
cana-810	158	3	=	=	SYM
cana-810	158	4	0	0	X
cana-810	158	5	)	)	PUNCT
cana-810	158	6	⇒	⇒	NOUN
cana-810	158	7	βs	βs	PUNCT
cana-810	159	1	+	+	CCONJ
cana-810	159	2	δi2	δi2	PROPN
cana-810	159	3	≥	≥	NOUN
cana-810	159	4	0	0	NUM
cana-810	159	5	(	(	PUNCT
cana-810	159	6	15	15	NUM
cana-810	159	7	)	)	PUNCT
cana-810	159	8	di1	di1	NOUN
cana-810	159	9	dt	dt	X
cana-810	159	10	(	(	PUNCT
cana-810	159	11	ati1	ati1	NOUN
cana-810	159	12	=	=	SYM
cana-810	159	13	0	0	X
cana-810	159	14	)	)	PUNCT
cana-810	159	15	⇒	⇒	NOUN
cana-810	159	16	σe1	σe1	NOUN
cana-810	159	17	+	+	CCONJ
cana-810	160	1	θi2	θi2	NOUN
cana-810	160	2	≥	≥	NUM
cana-810	160	3	0	0	NUM
cana-810	160	4	(	(	PUNCT
cana-810	160	5	16	16	NUM
cana-810	160	6	)	)	PUNCT
cana-810	160	7	di2	di2	NOUN
cana-810	160	8	dt	dt	X
cana-810	160	9	(	(	PUNCT
cana-810	160	10	ati2	ati2	PROPN
cana-810	160	11	=	=	SYM
cana-810	160	12	0	0	X
cana-810	160	13	)	)	PUNCT
cana-810	160	14	⇒	⇒	NOUN
cana-810	160	15	ϑi1	ϑi1	NOUN
cana-810	160	16	+	+	CCONJ
cana-810	160	17	ξe2	ξe2	PROPN
cana-810	160	18	≥	≥	NUM
cana-810	160	19	0	0	NUM
cana-810	160	20	(	(	PUNCT
cana-810	160	21	17	17	NUM
cana-810	160	22	)	)	PUNCT
cana-810	160	23	dr	dr	PROPN
cana-810	160	24	dt	dt	X
cana-810	160	25	(	(	PUNCT
cana-810	160	26	atr	atr	PROPN
cana-810	160	27	=	=	SYM
cana-810	160	28	0	0	X
cana-810	160	29	)	)	PUNCT
cana-810	160	30	⇒	⇒	NOUN
cana-810	160	31	ωi1	ωi1	PROPN
cana-810	161	1	+	+	CCONJ
cana-810	161	2	αi2	αi2	PRON
cana-810	161	3	≥	≥	NOUN
cana-810	161	4	0	0	NUM
cana-810	161	5	(	(	PUNCT
cana-810	161	6	18	18	NUM
cana-810	161	7	)	)	PUNCT
cana-810	161	8	the	the	DET
cana-810	161	9	solution	solution	NOUN
cana-810	161	10	to	to	ADP
cana-810	161	11	the	the	DET
cana-810	161	12	problem	problem	NOUN
cana-810	161	13	above	above	ADV
cana-810	161	14	will	will	AUX
cana-810	161	15	therefore	therefore	ADV
cana-810	161	16	remainand	remainand	VERB
cana-810	161	17	this	this	DET
cana-810	161	18	following	follow	VERB
cana-810	161	19	region	region	NOUN
cana-810	161	20	therefore	therefore	ADV
cana-810	161	21	becomes	become	VERB
cana-810	161	22	possible	possible	ADJ
cana-810	161	23	.	.	PUNCT
cana-810	162	1	ξ	ξ	X
cana-810	162	2	=	=	SYM
cana-810	162	3	(	(	PUNCT
cana-810	162	4	s(0	s(0	PROPN
cana-810	162	5	)	)	PUNCT
cana-810	162	6	,	,	PUNCT
cana-810	162	7	e1(0	e1(0	PROPN
cana-810	162	8	)	)	PUNCT
cana-810	162	9	,	,	PUNCT
cana-810	162	10	e2(0	e2(0	PROPN
cana-810	162	11	)	)	PUNCT
cana-810	162	12	,	,	PUNCT
cana-810	162	13	i1(0	i1(0	PROPN
cana-810	162	14	)	)	PUNCT
cana-810	162	15	,	,	PUNCT
cana-810	162	16	i2(0	i2(0	NOUN
cana-810	162	17	)	)	PUNCT
cana-810	162	18	,	,	PUNCT
cana-810	162	19	r(0	r(0	PROPN
cana-810	162	20	)	)	PUNCT
cana-810	162	21	)	)	PUNCT
cana-810	162	22	∈	∈	NOUN
cana-810	162	23	ℝ+	ℝ+	PUNCT
cana-810	162	24	6	6	NUM
cana-810	162	25	(	(	PUNCT
cana-810	162	26	19	19	NUM
cana-810	162	27	)	)	PUNCT
cana-810	162	28	(	(	PUNCT
cana-810	162	29	s(0	s(0	PROPN
cana-810	162	30	)	)	PUNCT
cana-810	162	31	,	,	PUNCT
cana-810	162	32	e1(0	e1(0	PROPN
cana-810	162	33	)	)	PUNCT
cana-810	162	34	,	,	PUNCT
cana-810	162	35	e2(0	e2(0	PROPN
cana-810	162	36	)	)	PUNCT
cana-810	162	37	,	,	PUNCT
cana-810	162	38	i1(0	i1(0	PROPN
cana-810	162	39	)	)	PUNCT
cana-810	162	40	,	,	PUNCT
cana-810	162	41	i2(0	i2(0	NOUN
cana-810	162	42	)	)	PUNCT
cana-810	162	43	,	,	PUNCT
cana-810	162	44	r(0	r(0	PROPN
cana-810	162	45	)	)	PUNCT
cana-810	162	46	)	)	PUNCT
cana-810	162	47	≥	≥	NOUN
cana-810	162	48	0	0	NUM
cana-810	162	49	.	.	PUNCT
cana-810	163	1	dimensionlesstransformation	dimensionlesstransformation	NOUN
cana-810	163	2	we	we	PRON
cana-810	163	3	apply	apply	VERB
cana-810	163	4	dimensionless	dimensionless	ADJ
cana-810	163	5	modifications	modification	NOUN
cana-810	163	6	to	to	ADP
cana-810	163	7	the	the	DET
cana-810	163	8	model	model	NOUN
cana-810	163	9	to	to	PART
cana-810	163	10	enhance	enhance	VERB
cana-810	163	11	its	its	PRON
cana-810	163	12	analysis	analysis	NOUN
cana-810	163	13	.	.	PUNCT
cana-810	164	1	with	with	ADP
cana-810	164	2	the	the	DET
cana-810	164	3	help	help	NOUN
cana-810	164	4	of	of	ADP
cana-810	164	5	the	the	DET
cana-810	164	6	state	state	NOUN
cana-810	164	7	variables	variable	NOUN
cana-810	164	8	s	s	PROPN
cana-810	164	9	,	,	PUNCT
cana-810	164	10	e1	e1	PROPN
cana-810	164	11	,	,	PUNCT
cana-810	164	12	e2	e2	PROPN
cana-810	164	13	,	,	PUNCT
cana-810	164	14	i1	i1	PROPN
cana-810	164	15	,	,	PUNCT
cana-810	164	16	i2andr	i2andr	PROPN
cana-810	164	17	,	,	PUNCT
cana-810	164	18	the	the	DET
cana-810	164	19	standard	standard	ADJ
cana-810	164	20	arrangement	arrangement	NOUN
cana-810	164	21	of	of	ADP
cana-810	164	22	models	model	NOUN
cana-810	164	23	transforms	transform	VERB
cana-810	164	24	into	into	ADP
cana-810	164	25	ṡ(t	ṡ(t	NOUN
cana-810	164	26	)	)	PUNCT
cana-810	164	27	=	=	SYM
cana-810	165	1	π−	π−	PROPN
cana-810	165	2	(	(	PUNCT
cana-810	165	3	γ	γ	X
cana-810	165	4	+	+	X
cana-810	165	5	β	β	X
cana-810	165	6	+	+	SYM
cana-810	165	7	μ)s	μ)s	ADJ
cana-810	165	8	(	(	PUNCT
cana-810	165	9	20	20	NUM
cana-810	165	10	)	)	PUNCT
cana-810	165	11	e1̇(t	e1̇(t	NUM
cana-810	165	12	)	)	PUNCT
cana-810	165	13	=	=	PUNCT
cana-810	165	14	γs	γs	ADP
cana-810	165	15	−	−	PROPN
cana-810	165	16	(	(	PUNCT
cana-810	165	17	σ	σ	NOUN
cana-810	165	18	+	+	CCONJ
cana-810	165	19	μ)e1	μ)e1	PROPN
cana-810	165	20	(	(	PUNCT
cana-810	165	21	21	21	NUM
cana-810	165	22	)	)	PUNCT
cana-810	165	23	e2̇(t	e2̇(t	NOUN
cana-810	165	24	)	)	PUNCT
cana-810	165	25	=	=	PRON
cana-810	165	26	βs	β	NOUN
cana-810	166	1	+	+	CCONJ
cana-810	166	2	δi2	δi2	PROPN
cana-810	166	3	−	−	NOUN
cana-810	167	1	(	(	PUNCT
cana-810	167	2	ξ	ξ	PROPN
cana-810	167	3	+	+	NUM
cana-810	167	4	μ)e2	μ)e2	PROPN
cana-810	167	5	(	(	PUNCT
cana-810	167	6	22	22	NUM
cana-810	167	7	)	)	PUNCT
cana-810	167	8	i1̇(t	i1̇(t	NOUN
cana-810	167	9	)	)	PUNCT
cana-810	167	10	=	=	VERB
cana-810	168	1	σe1	σe1	NOUN
cana-810	169	1	+	+	CCONJ
cana-810	169	2	θi2	θi2	NOUN
cana-810	169	3	−	−	X
cana-810	169	4	(	(	PUNCT
cana-810	169	5	ω+	ω+	NUM
cana-810	169	6	ϑ	ϑ	X
cana-810	169	7	+	+	CCONJ
cana-810	169	8	μ)i1	μ)i1	PROPN
cana-810	169	9	(	(	PUNCT
cana-810	169	10	23	23	NUM
cana-810	169	11	)	)	PUNCT
cana-810	169	12	i2̇(t	i2̇(t	NUM
cana-810	169	13	)	)	PUNCT
cana-810	169	14	=	=	PUNCT
cana-810	169	15	ϑi1	ϑi1	NOUN
cana-810	169	16	+	+	CCONJ
cana-810	169	17	ξe2	ξe2	NOUN
cana-810	169	18	−	−	PROPN
cana-810	169	19	(	(	PUNCT
cana-810	169	20	δ	δ	PROPN
cana-810	169	21	+	+	NUM
cana-810	169	22	θ	θ	PROPN
cana-810	170	1	+	+	CCONJ
cana-810	170	2	α	α	PROPN
cana-810	171	1	+	+	X
cana-810	171	2	μ)i2	μ)i2	PROPN
cana-810	171	3	(	(	PUNCT
cana-810	171	4	24	24	NUM
cana-810	171	5	)	)	PUNCT
cana-810	171	6	ṙ(t	ṙ(t	PROPN
cana-810	171	7	)	)	PUNCT
cana-810	171	8	=	=	SYM
cana-810	171	9	ωi1	ωi1	PROPN
cana-810	172	1	+	+	CCONJ
cana-810	172	2	αi2	αi2	VERB
cana-810	172	3	−	−	NUM
cana-810	173	1	μr	μr	NOUN
cana-810	173	2	(	(	PUNCT
cana-810	173	3	25	25	NUM
cana-810	173	4	)	)	PUNCT
cana-810	173	5	adding	add	VERB
cana-810	173	6	…	…	PUNCT
cana-810	173	7	yields	yield	NOUN
cana-810	173	8	ṡ(t	ṡ(t	NOUN
cana-810	173	9	)	)	PUNCT
cana-810	173	10	+	+	NUM
cana-810	173	11	e1̇(t	e1̇(t	NUM
cana-810	173	12	)	)	PUNCT
cana-810	174	1	+	+	NUM
cana-810	174	2	e2̇(t	e2̇(t	NOUN
cana-810	174	3	)	)	PUNCT
cana-810	175	1	+	+	CCONJ
cana-810	175	2	i1̇(t	i1̇(t	NOUN
cana-810	175	3	)	)	PUNCT
cana-810	175	4	+	+	NUM
cana-810	175	5	i2̇(t	i2̇(t	NOUN
cana-810	175	6	)	)	PUNCT
cana-810	175	7	+	+	CCONJ
cana-810	175	8	ṙ(t	ṙ(t	NOUN
cana-810	175	9	)	)	PUNCT
cana-810	175	10	=	=	PUNCT
cana-810	176	1	π	π	X
cana-810	176	2	−	−	X
cana-810	176	3	nμ	nμ	INTJ
cana-810	176	4	(	(	PUNCT
cana-810	176	5	26	26	NUM
cana-810	176	6	)	)	PUNCT
cana-810	176	7	where	where	SCONJ
cana-810	176	8	s	s	VERB
cana-810	176	9	+	+	X
cana-810	176	10	e1	e1	PROPN
cana-810	176	11	+	+	CCONJ
cana-810	176	12	e2+i1+i2	e2+i1+i2	NOUN
cana-810	176	13	+	+	CCONJ
cana-810	176	14	r	r	NOUN
cana-810	176	15	=	=	SYM
cana-810	176	16	1	1	NUM
cana-810	176	17	(	(	PUNCT
cana-810	176	18	27	27	NUM
cana-810	176	19	)	)	PUNCT
cana-810	176	20	communications	communication	NOUN
cana-810	176	21	on	on	ADP
cana-810	176	22	applied	apply	VERB
cana-810	176	23	nonlinear	nonlinear	ADJ
cana-810	176	24	analysis	analysis	NOUN
cana-810	176	25	issn	issn	NOUN
cana-810	176	26	:	:	PUNCT
cana-810	176	27	1074	1074	NUM
cana-810	176	28	-	-	PUNCT
cana-810	176	29	133x	133x	NUM
cana-810	176	30	vol	vol	NOUN
cana-810	176	31	31	31	NUM
cana-810	176	32	no	no	NOUN
cana-810	176	33	.	.	PUNCT
cana-810	177	1	3s	3s	NUM
cana-810	177	2	(	(	PUNCT
cana-810	177	3	2024	2024	NUM
cana-810	177	4	)	)	PUNCT
cana-810	177	5	567	567	NUM
cana-810	177	6	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	177	7	m	m	PROPN
cana-810	177	8	region	region	NOUN
cana-810	177	9	of	of	ADP
cana-810	177	10	feasible	feasible	ADJ
cana-810	177	11	in	in	ADP
cana-810	177	12	the	the	DET
cana-810	177	13	tb	tb	NOUN
cana-810	177	14	simulations	simulation	NOUN
cana-810	177	15	,	,	PUNCT
cana-810	177	16	every	every	DET
cana-810	177	17	state	state	NOUN
cana-810	177	18	variable	variable	NOUN
cana-810	177	19	is	be	AUX
cana-810	177	20	continuously	continuously	ADV
cana-810	177	21	positive	positive	ADJ
cana-810	177	22	because	because	SCONJ
cana-810	177	23	the	the	DET
cana-810	177	24	population	population	NOUN
cana-810	177	25	that	that	PRON
cana-810	177	26	's	be	AUX
cana-810	177	27	subject	subject	ADJ
cana-810	177	28	to	to	ADP
cana-810	177	29	consideration	consideration	NOUN
cana-810	177	30	represents	represent	VERB
cana-810	177	31	the	the	DET
cana-810	177	32	human	human	ADJ
cana-810	177	33	population	population	NOUN
cana-810	177	34	.	.	PUNCT
cana-810	178	1	thus	thus	ADV
cana-810	178	2	,	,	PUNCT
cana-810	178	3	in	in	ADP
cana-810	178	4	the	the	DET
cana-810	178	5	region	region	NOUN
cana-810	178	6	ψ	ψ	PROPN
cana-810	178	7	,	,	PUNCT
cana-810	178	8	the	the	DET
cana-810	178	9	model	model	NOUN
cana-810	178	10	equations	equation	NOUN
cana-810	178	11	of	of	ADP
cana-810	178	12	system	system	NOUN
cana-810	178	13	(	(	PUNCT
cana-810	178	14	1	1	X
cana-810	178	15	)	)	PUNCT
cana-810	178	16	are	be	AUX
cana-810	178	17	restricted	restrict	VERB
cana-810	178	18	to	to	ADP
cana-810	178	19	a	a	DET
cana-810	178	20	non	non	ADJ
cana-810	178	21	-	-	ADJ
cana-810	178	22	negative	negative	ADJ
cana-810	178	23	condition	condition	NOUN
cana-810	178	24	,	,	PUNCT
cana-810	178	25	ψ	ψ	X
cana-810	178	26	=	=	SYM
cana-810	178	27	(	(	PUNCT
cana-810	178	28	s(t	s(t	PROPN
cana-810	178	29	)	)	PUNCT
cana-810	178	30	,	,	PUNCT
cana-810	178	31	v(t	v(t	NOUN
cana-810	178	32	)	)	PUNCT
cana-810	178	33	,	,	PUNCT
cana-810	178	34	e(t	e(t	NOUN
cana-810	178	35	)	)	PUNCT
cana-810	178	36	,	,	PUNCT
cana-810	178	37	i(t	i(t	PROPN
cana-810	178	38	)	)	PUNCT
cana-810	178	39	,	,	PUNCT
cana-810	178	40	q(t	q(t	PROPN
cana-810	178	41	)	)	PUNCT
cana-810	178	42	,	,	PUNCT
cana-810	178	43	r(t	r(t	NOUN
cana-810	178	44	)	)	PUNCT
cana-810	178	45	):	):	PUNCT
cana-810	178	46	s	s	VERB
cana-810	178	47	>	>	X
cana-810	178	48	0	0	NUM
cana-810	178	49	,	,	PUNCT
cana-810	178	50	v	v	ADP
cana-810	178	51	>	>	X
cana-810	178	52	0	0	NUM
cana-810	178	53	,	,	PUNCT
cana-810	178	54	e	e	X
cana-810	178	55	>	>	X
cana-810	178	56	0	0	PROPN
cana-810	178	57	,	,	PUNCT
cana-810	178	58	i	i	PRON
cana-810	178	59	>	>	X
cana-810	178	60	0	0	PROPN
cana-810	178	61	,	,	PUNCT
cana-810	178	62	q	q	X
cana-810	178	63	>	>	X
cana-810	178	64	0	0	NUM
cana-810	178	65	,	,	PUNCT
cana-810	178	66	r	r	NOUN
cana-810	178	67	>	>	X
cana-810	179	1	0	0	NUM
cana-810	179	2	∈	∈	NOUN
cana-810	179	3	ℝ+	ℝ+	PUNCT
cana-810	179	4	6	6	NUM
cana-810	179	5	where	where	SCONJ
cana-810	179	6	the	the	DET
cana-810	179	7	feasible	feasible	ADJ
cana-810	179	8	region	region	NOUN
cana-810	179	9	is	be	AUX
cana-810	179	10	positively	positively	ADV
cana-810	179	11	invariant	invariant	ADJ
cana-810	179	12	,	,	PUNCT
cana-810	179	13	our	our	PRON
cana-810	179	14	model	model	NOUN
cana-810	179	15	eqs	eqs	PROPN
cana-810	179	16	.	.	PUNCT
cana-810	180	1	(	(	PUNCT
cana-810	180	2	1)is	1)is	NUM
cana-810	180	3	biologically	biologically	ADV
cana-810	180	4	meaningful	meaningful	ADJ
cana-810	180	5	;	;	PUNCT
cana-810	180	6	otherwise	otherwise	ADV
cana-810	180	7	,	,	PUNCT
cana-810	180	8	it	it	PRON
cana-810	180	9	is	be	AUX
cana-810	180	10	not	not	PART
cana-810	180	11	.	.	PUNCT
cana-810	181	1	the	the	DET
cana-810	181	2	model	model	NOUN
cana-810	181	3	of	of	ADP
cana-810	181	4	the	the	DET
cana-810	181	5	dynamics	dynamic	NOUN
cana-810	181	6	n(t	n(t	PROPN
cana-810	181	7	)	)	PUNCT
cana-810	181	8	is	be	AUX
cana-810	181	9	differentiated	differentiate	VERB
cana-810	181	10	with	with	ADP
cana-810	181	11	respect	respect	NOUN
cana-810	181	12	to	to	ADP
cana-810	181	13	time	time	NOUN
cana-810	181	14	along	along	ADP
cana-810	181	15	the	the	DET
cana-810	181	16	model	model	NOUN
cana-810	181	17	's	's	PART
cana-810	181	18	layouts	layout	NOUN
cana-810	181	19	in	in	ADP
cana-810	181	20	equation	equation	NOUN
cana-810	181	21	(	(	PUNCT
cana-810	181	22	1	1	NUM
cana-810	181	23	)	)	PUNCT
cana-810	181	24	to	to	PART
cana-810	181	25	represent	represent	VERB
cana-810	181	26	a	a	DET
cana-810	181	27	complete	complete	ADJ
cana-810	181	28	population	population	NOUN
cana-810	181	29	.	.	PUNCT
cana-810	182	1	n(t	n(t	PROPN
cana-810	182	2	)	)	PUNCT
cana-810	182	3	=	=	SYM
cana-810	182	4	s(t	s(t	PROPN
cana-810	182	5	)	)	PUNCT
cana-810	182	6	+	+	NUM
cana-810	182	7	e1(t	e1(t	X
cana-810	182	8	)	)	PUNCT
cana-810	183	1	+	+	CCONJ
cana-810	183	2	e2(t	e2(t	NOUN
cana-810	183	3	)	)	PUNCT
cana-810	183	4	+	+	X
cana-810	183	5	i1(t	i1(t	X
cana-810	183	6	)	)	PUNCT
cana-810	184	1	+	+	CCONJ
cana-810	184	2	i2(t	i2(t	PROPN
cana-810	184	3	)	)	PUNCT
cana-810	184	4	+	+	NUM
cana-810	184	5	r(t	r(t	NOUN
cana-810	184	6	)	)	PUNCT
cana-810	184	7	we	we	PRON
cana-810	184	8	obtain	obtain	VERB
cana-810	184	9	dn(t	dn(t	PUNCT
cana-810	184	10	)	)	PUNCT
cana-810	184	11	dt	dt	NOUN
cana-810	184	12	=	=	PUNCT
cana-810	184	13	ds(t	ds(t	X
cana-810	184	14	)	)	PUNCT
cana-810	184	15	dt	dt	X
cana-810	185	1	+	+	CCONJ
cana-810	185	2	de1(t	de1(t	NUM
cana-810	185	3	)	)	PUNCT
cana-810	185	4	dt	dt	NOUN
cana-810	186	1	+	+	CCONJ
cana-810	186	2	de2(t	de2(t	PROPN
cana-810	186	3	)	)	PUNCT
cana-810	186	4	dt	dt	NOUN
cana-810	187	1	+	+	PUNCT
cana-810	187	2	di1(t	di1(t	NOUN
cana-810	187	3	)	)	PUNCT
cana-810	187	4	dt	dt	PUNCT
cana-810	188	1	+	+	CCONJ
cana-810	188	2	di2(t	di2(t	NOUN
cana-810	188	3	)	)	PUNCT
cana-810	188	4	dt	dt	NOUN
cana-810	189	1	+	+	CCONJ
cana-810	189	2	dr(t	dr(t	NOUN
cana-810	189	3	)	)	PUNCT
cana-810	189	4	dt	dt	X
cana-810	189	5	(	(	PUNCT
cana-810	189	6	28	28	NUM
cana-810	189	7	)	)	PUNCT
cana-810	189	8	adding	add	VERB
cana-810	189	9	the	the	DET
cana-810	189	10	equation	equation	NOUN
cana-810	189	11	of	of	ADP
cana-810	189	12	the	the	DET
cana-810	189	13	system	system	NOUN
cana-810	189	14	(	(	PUNCT
cana-810	189	15	1	1	X
cana-810	189	16	)	)	PUNCT
cana-810	189	17	we	we	PRON
cana-810	189	18	get	get	VERB
cana-810	189	19	dn(t	dn(t	PRON
cana-810	189	20	)	)	PUNCT
cana-810	189	21	dt	dt	PART
cana-810	190	1	=	=	PUNCT
cana-810	190	2	π	π	PROPN
cana-810	190	3	−	−	X
cana-810	190	4	nμ	nμ	INTJ
cana-810	190	5	(	(	PUNCT
cana-810	190	6	29	29	NUM
cana-810	190	7	)	)	PUNCT
cana-810	190	8	as	as	ADP
cana-810	190	9	a	a	DET
cana-810	190	10	result	result	NOUN
cana-810	190	11	,	,	PUNCT
cana-810	190	12	an	an	DET
cana-810	190	13	equation	equation	NOUN
cana-810	190	14	(	(	PUNCT
cana-810	190	15	28	28	NUM
cana-810	190	16	)	)	PUNCT
cana-810	190	17	can	can	AUX
cana-810	190	18	be	be	AUX
cana-810	190	19	used	use	VERB
cana-810	190	20	to	to	PART
cana-810	190	21	find	find	VERB
cana-810	190	22	the	the	DET
cana-810	190	23	variation	variation	NOUN
cana-810	190	24	in	in	ADP
cana-810	190	25	population	population	NOUN
cana-810	190	26	or	or	CCONJ
cana-810	190	27	the	the	DET
cana-810	190	28	variation	variation	NOUN
cana-810	190	29	of	of	ADP
cana-810	190	30	population	population	NOUN
cana-810	190	31	over	over	ADP
cana-810	190	32	dynamics	dynamic	NOUN
cana-810	190	33	.	.	PUNCT
cana-810	191	1	lemma1	lemma1	PROPN
cana-810	191	2	.	.	PUNCT
cana-810	192	1	ω	ω	INTJ
cana-810	192	2	{	{	PUNCT
cana-810	192	3	(	(	PUNCT
cana-810	192	4	t	t	PROPN
cana-810	192	5	)	)	PUNCT
cana-810	192	6	;	;	PUNCT
cana-810	192	7	e1(t	e1(t	X
cana-810	192	8	)	)	PUNCT
cana-810	192	9	;	;	PUNCT
cana-810	192	10	e2(t	e2(t	PROPN
cana-810	192	11	)	)	PUNCT
cana-810	192	12	;	;	PUNCT
cana-810	192	13	i1(t	i1(t	PROPN
cana-810	192	14	)	)	PUNCT
cana-810	192	15	;	;	PUNCT
cana-810	192	16	i2(t	i2(t	PROPN
cana-810	192	17	)	)	PUNCT
cana-810	192	18	;	;	PUNCT
cana-810	192	19	r(t	r(t	NOUN
cana-810	192	20	)	)	PUNCT
cana-810	192	21	∈	∈	PROPN
cana-810	192	22	ℝ	ℝ	PROPN
cana-810	192	23	6	6	NUM
cana-810	192	24	:	:	PUNCT
cana-810	192	25	n(t	n(t	NUM
cana-810	192	26	)	)	PUNCT
cana-810	192	27	≤	≤	NUM
cana-810	193	1	π	π	PROPN
cana-810	193	2	μ	μ	PROPN
cana-810	193	3	}	}	PUNCT
cana-810	193	4	determines	determine	VERB
cana-810	193	5	the	the	DET
cana-810	193	6	feasible	feasible	ADJ
cana-810	193	7	region	region	NOUN
cana-810	193	8	ω	ω	PROPN
cana-810	193	9	.	.	PUNCT
cana-810	194	1	s(0	s(0	PROPN
cana-810	194	2	)	)	PUNCT
cana-810	194	3	≥	≥	NOUN
cana-810	194	4	0	0	NUM
cana-810	194	5	,	,	PUNCT
cana-810	194	6	e1(0	e1(0	PROPN
cana-810	194	7	)	)	PUNCT
cana-810	194	8	≥	≥	NOUN
cana-810	194	9	0	0	NUM
cana-810	194	10	,	,	PUNCT
cana-810	194	11	e2(0	e2(0	PROPN
cana-810	194	12	)	)	PUNCT
cana-810	194	13	≥	≥	NOUN
cana-810	194	14	0	0	NUM
cana-810	194	15	,	,	PUNCT
cana-810	194	16	i1(0	i1(0	PROPN
cana-810	194	17	)	)	PUNCT
cana-810	194	18	≥	≥	NOUN
cana-810	194	19	0	0	NUM
cana-810	194	20	,	,	PUNCT
cana-810	194	21	i2(0	i2(0	NOUN
cana-810	194	22	)	)	PUNCT
cana-810	194	23	≥	≥	NOUN
cana-810	194	24	0	0	NUM
cana-810	194	25	,	,	PUNCT
cana-810	194	26	r(0	r(0	PROPN
cana-810	194	27	)	)	PUNCT
cana-810	194	28	≥	≥	NOUN
cana-810	194	29	0	0	NUM
cana-810	194	30	,	,	PUNCT
cana-810	194	31	as	as	ADP
cana-810	194	32	the	the	DET
cana-810	194	33	initial	initial	ADJ
cana-810	194	34	conditions	condition	NOUN
cana-810	194	35	,	,	PUNCT
cana-810	194	36	is	be	AUX
cana-810	194	37	positively	positively	ADV
cana-810	194	38	invariant	invariant	ADJ
cana-810	194	39	in	in	ADP
cana-810	194	40	the	the	DET
cana-810	194	41	system	system	NOUN
cana-810	194	42	of	of	ADP
cana-810	194	43	equation	equation	NOUN
cana-810	194	44	(	(	PUNCT
cana-810	194	45	1	1	NUM
cana-810	194	46	)	)	PUNCT
cana-810	194	47	.	.	PUNCT
cana-810	195	1	proof	proof	NOUN
cana-810	195	2	adding	add	VERB
cana-810	195	3	the	the	DET
cana-810	195	4	equation	equation	NOUN
cana-810	195	5	(	(	PUNCT
cana-810	195	6	1	1	X
cana-810	195	7	)	)	PUNCT
cana-810	195	8	we	we	PRON
cana-810	195	9	obtain	obtain	VERB
cana-810	195	10	dn(t	dn(t	PUNCT
cana-810	195	11	)	)	PUNCT
cana-810	195	12	dt	dt	PART
cana-810	196	1	=	=	PUNCT
cana-810	196	2	π	π	PROPN
cana-810	196	3	−	−	X
cana-810	196	4	nμ	nμ	INTJ
cana-810	196	5	resolving	resolve	VERB
cana-810	196	6	the	the	DET
cana-810	196	7	differential	differential	ADJ
cana-810	196	8	equations	equation	NOUN
cana-810	196	9	n(t	n(t	PROPN
cana-810	196	10	)	)	PUNCT
cana-810	196	11	≤	≤	PROPN
cana-810	197	1	π	π	PROPN
cana-810	197	2	μ	μ	PROPN
cana-810	197	3	+	+	PROPN
cana-810	197	4	n(0)e−μt	n(0)e−μt	NOUN
cana-810	197	5	(	(	PUNCT
cana-810	197	6	30	30	NUM
cana-810	197	7	)	)	PUNCT
cana-810	197	8	limt	limt	NOUN
cana-810	197	9	→	→	SYM
cana-810	197	10	∞	∞	NUM
cana-810	197	11	supn(t	supn(t	NOUN
cana-810	197	12	)	)	PUNCT
cana-810	197	13	≤	≤	NUM
cana-810	198	1	π	π	PROPN
cana-810	198	2	μ	μ	PROPN
cana-810	198	3	it	it	PRON
cana-810	198	4	suggests	suggest	VERB
cana-810	198	5	that	that	SCONJ
cana-810	198	6	the	the	DET
cana-810	198	7	area	area	NOUN
cana-810	198	8	ω	ω	NOUN
cana-810	198	9	:	:	PUNCT
cana-810	198	10	{	{	PUNCT
cana-810	198	11	(	(	PUNCT
cana-810	198	12	t	t	PROPN
cana-810	198	13	)	)	PUNCT
cana-810	198	14	;	;	PUNCT
cana-810	198	15	e1(t	e1(t	X
cana-810	198	16	)	)	PUNCT
cana-810	198	17	;	;	PUNCT
cana-810	198	18	e2(t	e2(t	PROPN
cana-810	198	19	)	)	PUNCT
cana-810	198	20	;	;	PUNCT
cana-810	198	21	i1(t	i1(t	PROPN
cana-810	198	22	)	)	PUNCT
cana-810	198	23	;	;	PUNCT
cana-810	198	24	i2(t	i2(t	PROPN
cana-810	198	25	)	)	PUNCT
cana-810	198	26	;	;	PUNCT
cana-810	198	27	r(t	r(t	NOUN
cana-810	198	28	)	)	PUNCT
cana-810	198	29	∈	∈	PROPN
cana-810	198	30	ℝ	ℝ	PROPN
cana-810	198	31	6	6	NUM
cana-810	198	32	:	:	PUNCT
cana-810	198	33	n(t	n(t	NUM
cana-810	198	34	)	)	PUNCT
cana-810	198	35	≤	≤	PUNCT
cana-810	198	36	π	π	PROPN
cana-810	198	37	μ	μ	PROPN
cana-810	198	38	}	}	PUNCT
cana-810	198	39	(	(	PUNCT
cana-810	198	40	31	31	NUM
cana-810	198	41	)	)	PUNCT
cana-810	198	42	communications	communication	NOUN
cana-810	198	43	on	on	ADP
cana-810	198	44	applied	apply	VERB
cana-810	198	45	nonlinear	nonlinear	ADJ
cana-810	198	46	analysis	analysis	NOUN
cana-810	198	47	issn	issn	NOUN
cana-810	198	48	:	:	PUNCT
cana-810	198	49	1074	1074	NUM
cana-810	198	50	-	-	PUNCT
cana-810	198	51	133x	133x	NUM
cana-810	198	52	vol	vol	NOUN
cana-810	198	53	31	31	NUM
cana-810	198	54	no	no	NOUN
cana-810	198	55	.	.	PUNCT
cana-810	199	1	3s	3s	NUM
cana-810	199	2	(	(	PUNCT
cana-810	199	3	2024	2024	NUM
cana-810	199	4	)	)	PUNCT
cana-810	199	5	568	568	NUM
cana-810	199	6	https://internationalpubls.co	https://internationalpubls.co	NOUN
cana-810	199	7	m	m	VERB
cana-810	199	8	is	be	AUX
cana-810	199	9	positively	positively	ADV
cana-810	199	10	correlated	correlate	VERB
cana-810	199	11	with	with	ADP
cana-810	199	12	systems	system	NOUN
cana-810	199	13	(	(	PUNCT
cana-810	199	14	1	1	NUM
cana-810	199	15	)	)	PUNCT
cana-810	199	16	theorem3	theorem3	PROPN
cana-810	199	17	.	.	PUNCT
cana-810	200	1	the	the	DET
cana-810	200	2	system	system	NOUN
cana-810	200	3	of	of	ADP
cana-810	200	4	equation	equation	NOUN
cana-810	200	5	describes	describe	VERB
cana-810	200	6	a	a	DET
cana-810	200	7	deterministic	deterministic	ADJ
cana-810	200	8	model	model	NOUN
cana-810	200	9	that	that	PRON
cana-810	200	10	all	all	DET
cana-810	200	11	solutions	solution	NOUN
cana-810	200	12	are	be	AUX
cana-810	200	13	uniformly	uniformly	ADV
cana-810	200	14	bounded	bound	VERB
cana-810	200	15	onω	onω	PROPN
cana-810	200	16	⊂	⊂	PROPN
cana-810	200	17	ℝ6	ℝ6	PROPN
cana-810	200	18	.	.	PUNCT
cana-810	201	1	proof	proof	NOUN
cana-810	201	2	n	n	PROPN
cana-810	201	3	=	=	SYM
cana-810	201	4	s	s	PART
cana-810	201	5	+	+	NUM
cana-810	201	6	e1	e1	PROPN
cana-810	201	7	+	+	CCONJ
cana-810	201	8	e2	e2	PROPN
cana-810	201	9	+	+	CCONJ
cana-810	201	10	i1	i1	PROPN
cana-810	201	11	+	+	CCONJ
cana-810	201	12	i2	i2	PROPN
cana-810	201	13	+	+	CCONJ
cana-810	201	14	r	r	NOUN
cana-810	201	15	dn	dn	NOUN
cana-810	201	16	dt	dt	NOUN
cana-810	201	17	=	=	NOUN
cana-810	201	18	ds	ds	ADJ
cana-810	201	19	dt	dt	X
cana-810	201	20	+	+	CCONJ
cana-810	201	21	de1	de1	PROPN
cana-810	201	22	dt	dt	PROPN
cana-810	202	1	+	+	CCONJ
cana-810	202	2	de2	de2	X
cana-810	202	3	dt	dt	NOUN
cana-810	203	1	+	+	CCONJ
cana-810	203	2	di1	di1	ADJ
cana-810	203	3	dt	dt	NOUN
cana-810	203	4	+	+	CCONJ
cana-810	203	5	di2	di2	PROPN
cana-810	203	6	dt	dt	X
cana-810	204	1	+	+	CCONJ
cana-810	204	2	dr	dr	PROPN
cana-810	204	3	dt	dt	X
cana-810	204	4	(	(	PUNCT
cana-810	204	5	32	32	NUM
cana-810	204	6	)	)	PUNCT
cana-810	204	7	dn	dn	NOUN
cana-810	204	8	dt	dt	NOUN
cana-810	205	1	=	=	PUNCT
cana-810	205	2	π	π	X
cana-810	205	3	−	−	X
cana-810	205	4	nμ	nμ	INTJ
cana-810	205	5	dn	dn	ADP
cana-810	205	6	π−nμ	π−nμ	PROPN
cana-810	205	7	≤	≤	PROPN
cana-810	205	8	dt(33	dt(33	PROPN
cana-810	205	9	)	)	PUNCT
cana-810	205	10	by	by	ADP
cana-810	205	11	integrating	integrate	VERB
cana-810	205	12	∫	∫	PROPN
cana-810	205	13	dn	dn	PROPN
cana-810	205	14	π−nμ	π−nμ	PROPN
cana-810	205	15	≤	≤	PROPN
cana-810	205	16	∫dt	∫dt	NOUN
cana-810	205	17	⇒	⇒	VERB
cana-810	205	18	−	−	PROPN
cana-810	205	19	1	1	NUM
cana-810	205	20	π−μ	π−μ	NOUN
cana-810	205	21	in(π	in(π	ADJ
cana-810	205	22	−	−	PROPN
cana-810	205	23	nμ	nμ	INTJ
cana-810	205	24	)	)	PUNCT
cana-810	205	25	≤	≤	NOUN
cana-810	205	26	t	t	NOUN
cana-810	205	27	+	+	CCONJ
cana-810	205	28	c	c	NOUN
cana-810	205	29	⇒	⇒	NOUN
cana-810	205	30	in(π	in(π	PUNCT
cana-810	205	31	−	−	PROPN
cana-810	205	32	nμ	nμ	INTJ
cana-810	205	33	)	)	PUNCT
cana-810	205	34	≥	≥	NOUN
cana-810	205	35	(	(	PUNCT
cana-810	205	36	π	π	PROPN
cana-810	205	37	−	−	PROPN
cana-810	205	38	μ)t	μ)t	ADJ
cana-810	205	39	−(π	−(π	PROPN
cana-810	205	40	−	−	PROPN
cana-810	206	1	μ)c	μ)c	NOUN
cana-810	206	2	ein(π−nμ	ein(π−nμ	NOUN
cana-810	206	3	)	)	PUNCT
cana-810	207	1	=	=	SYM
cana-810	207	2	e−(π−μ)t−(π−μ)c	e−(π−μ)t−(π−μ)c	NOUN
cana-810	207	3	by	by	ADP
cana-810	207	4	simplification	simplification	NOUN
cana-810	207	5	π	π	PROPN
cana-810	207	6	−	−	PROPN
cana-810	208	1	nμ	nμ	NOUN
cana-810	209	1	=	=	NOUN
cana-810	210	1	ce−(π−μ)t	ce−(π−μ)t	NOUN
cana-810	210	2	(	(	PUNCT
cana-810	210	3	34	34	NUM
cana-810	210	4	)	)	PUNCT
cana-810	210	5	where	where	SCONJ
cana-810	210	6	c	c	NOUN
cana-810	210	7	is	be	AUX
cana-810	210	8	constant	constant	ADJ
cana-810	210	9	,	,	PUNCT
cana-810	210	10	ast	ast	X
cana-810	210	11	⟶	⟶	NOUN
cana-810	210	12	∞	∞	NUM
cana-810	210	13	ce−(π−μ)t⟶	ce−(π−μ)t⟶	ADJ
cana-810	210	14	0	0	PUNCT
cana-810	210	15	(	(	PUNCT
cana-810	210	16	35	35	NUM
cana-810	210	17	)	)	PUNCT
cana-810	210	18	then	then	ADV
cana-810	210	19	π	π	INTJ
cana-810	210	20	−	−	X
cana-810	210	21	nμ	nμ	INTJ
cana-810	210	22	<	<	X
cana-810	210	23	0	0	X
cana-810	211	1	we	we	PRON
cana-810	211	2	have	have	VERB
cana-810	211	3	the	the	DET
cana-810	211	4	population	population	NOUN
cana-810	211	5	size	size	NOUN
cana-810	211	6	n	n	CCONJ
cana-810	211	7	≤	≤	NOUN
cana-810	211	8	π	π	PROPN
cana-810	211	9	μ	μ	PROPN
cana-810	211	10	⇒	⇒	PROPN
cana-810	211	11	0	0	NUM
cana-810	211	12	≤	≤	NUM
cana-810	212	1	n	n	PRON
cana-810	212	2	≤	≤	NUM
cana-810	212	3	π	π	PROPN
cana-810	212	4	μ	μ	PROPN
cana-810	212	5	(	(	PUNCT
cana-810	212	6	s	s	PROPN
cana-810	212	7	,	,	PUNCT
cana-810	212	8	e1	e1	PROPN
cana-810	212	9	,	,	PUNCT
cana-810	212	10	e2	e2	PROPN
cana-810	212	11	,	,	PUNCT
cana-810	212	12	i1	i1	PROPN
cana-810	212	13	,	,	PUNCT
cana-810	212	14	i2	i2	PROPN
cana-810	212	15	,	,	PUNCT
cana-810	212	16	r	r	NOUN
cana-810	212	17	)	)	PUNCT
cana-810	212	18	∈	∈	NOUN
cana-810	212	19	ℝ+	ℝ+	PUNCT
cana-810	212	20	6	6	NUM
cana-810	212	21	n	n	NOUN
cana-810	212	22	≤	≤	NUM
cana-810	213	1	π	π	PROPN
cana-810	213	2	μ	μ	PROPN
cana-810	213	3	(	(	PUNCT
cana-810	213	4	36	36	NUM
cana-810	213	5	)	)	PUNCT
cana-810	213	6	theorem	theorem	VERB
cana-810	213	7	4	4	NUM
cana-810	213	8	.	.	PUNCT
cana-810	214	1	the	the	DET
cana-810	214	2	proposed	propose	VERB
cana-810	214	3	model	model	NOUN
cana-810	214	4	(	(	PUNCT
cana-810	214	5	1	1	NUM
cana-810	214	6	)	)	PUNCT
cana-810	214	7	solution	solution	NOUN
cana-810	214	8	set	set	VERB
cana-810	214	9	{	{	PUNCT
cana-810	214	10	s(t	s(t	PROPN
cana-810	214	11	)	)	PUNCT
cana-810	214	12	,	,	PUNCT
cana-810	214	13	e1(t	e1(t	NUM
cana-810	214	14	)	)	PUNCT
cana-810	214	15	,	,	PUNCT
cana-810	214	16	e2(t	e2(t	PROPN
cana-810	214	17	)	)	PUNCT
cana-810	214	18	,	,	PUNCT
cana-810	214	19	i1(t	i1(t	PROPN
cana-810	214	20	)	)	PUNCT
cana-810	214	21	,	,	PUNCT
cana-810	214	22	i2(t	i2(t	PROPN
cana-810	214	23	)	)	PUNCT
cana-810	214	24	,	,	PUNCT
cana-810	214	25	r(t	r(t	NOUN
cana-810	214	26	)	)	PUNCT
cana-810	214	27	}	}	PUNCT
cana-810	214	28	combined	combine	VERB
cana-810	214	29	with	with	ADP
cana-810	214	30	(	(	PUNCT
cana-810	214	31	2	2	NUM
cana-810	214	32	)	)	PUNCT
cana-810	214	33	,	,	PUNCT
cana-810	214	34	is	be	AUX
cana-810	214	35	positive	positive	ADJ
cana-810	214	36	for	for	ADP
cana-810	214	37	all	all	DET
cana-810	214	38	t	t	NOUN
cana-810	214	39	>	>	X
cana-810	214	40	0	0	X
cana-810	214	41	.	.	PUNCT
cana-810	215	1	proof	proof	NOUN
cana-810	215	2	we	we	PRON
cana-810	215	3	evaluate	evaluate	VERB
cana-810	215	4	equation	equation	NOUN
cana-810	215	5	(	(	PUNCT
cana-810	215	6	1	1	NUM
cana-810	215	7	)	)	PUNCT
cana-810	215	8	while	while	SCONJ
cana-810	215	9	taking	take	VERB
cana-810	215	10	into	into	ADP
cana-810	215	11	consideration	consideration	NOUN
cana-810	215	12	the	the	DET
cana-810	215	13	non	non	ADJ
cana-810	215	14	-	-	ADJ
cana-810	215	15	linear	linear	ADJ
cana-810	215	16	system	system	NOUN
cana-810	215	17	of	of	ADP
cana-810	215	18	equations	equation	NOUN
cana-810	215	19	.	.	PUNCT
cana-810	216	1	ds	ds	ADJ
cana-810	216	2	dt	dt	NOUN
cana-810	216	3	=	=	PUNCT
cana-810	216	4	π	π	PROPN
cana-810	216	5	−	−	PROPN
cana-810	216	6	γs	γ	VERB
cana-810	216	7	−	−	PROPN
cana-810	216	8	βs	βs	NOUN
cana-810	217	1	−	−	PROPN
cana-810	217	2	μs	μs	NOUN
cana-810	217	3	communications	communication	NOUN
cana-810	217	4	on	on	ADP
cana-810	217	5	applied	apply	VERB
cana-810	217	6	nonlinear	nonlinear	ADJ
cana-810	217	7	analysis	analysis	NOUN
cana-810	217	8	issn	issn	NOUN
cana-810	217	9	:	:	PUNCT
cana-810	217	10	1074	1074	NUM
cana-810	217	11	-	-	PUNCT
cana-810	217	12	133x	133x	NUM
cana-810	217	13	vol	vol	NOUN
cana-810	217	14	31	31	NUM
cana-810	217	15	no	no	NOUN
cana-810	217	16	.	.	PUNCT
cana-810	218	1	3s	3s	NUM
cana-810	218	2	(	(	PUNCT
cana-810	218	3	2024	2024	NUM
cana-810	218	4	)	)	PUNCT
cana-810	218	5	569	569	NUM
cana-810	219	1	https://internationalpubls.co	https://internationalpubls.co	NOUN
cana-810	219	2	m	m	VERB
cana-810	219	3	which	which	PRON
cana-810	219	4	means	mean	VERB
cana-810	219	5	that	that	SCONJ
cana-810	219	6	ds	ds	INTJ
cana-810	219	7	dt	dt	PRON
cana-810	219	8	≥	≥	PUNCT
cana-810	219	9	−(γ	−(γ	ADJ
cana-810	219	10	+	+	X
cana-810	219	11	β	β	X
cana-810	219	12	+	+	SYM
cana-810	219	13	μ)s	μ)s	PROPN
cana-810	219	14	(	(	PUNCT
cana-810	219	15	37	37	NUM
cana-810	219	16	)	)	PUNCT
cana-810	219	17	by	by	ADP
cana-810	219	18	integrating	integrate	VERB
cana-810	219	19	,	,	PUNCT
cana-810	219	20	we	we	PRON
cana-810	219	21	get	get	VERB
cana-810	219	22	s(t	s(t	PROPN
cana-810	219	23	)	)	PUNCT
cana-810	219	24	≥	≥	NOUN
cana-810	219	25	s(0)e−(γ+β+μ)t	s(0)e−(γ+β+μ)t	NOUN
cana-810	219	26	(	(	PUNCT
cana-810	219	27	38	38	NUM
cana-810	219	28	)	)	PUNCT
cana-810	219	29	this	this	PRON
cana-810	219	30	goes	go	VERB
cana-810	219	31	s(t	s(t	PROPN
cana-810	219	32	)	)	PUNCT
cana-810	219	33	≥	≥	NOUN
cana-810	219	34	0	0	NUM
cana-810	220	1	the	the	DET
cana-810	220	2	predominant	predominant	ADJ
cana-810	220	3	equilibrium	equilibrium	NOUN
cana-810	220	4	point	point	NOUN
cana-810	220	5	's	's	PART
cana-810	220	6	global	global	ADJ
cana-810	220	7	stability	stability	NOUN
cana-810	220	8	the	the	DET
cana-810	220	9	lyapunov	lyapunov	ADJ
cana-810	220	10	functional	functional	NOUN
cana-810	220	11	is	be	AUX
cana-810	220	12	utilized	utilize	VERB
cana-810	220	13	to	to	PART
cana-810	220	14	evaluate	evaluate	VERB
cana-810	220	15	the	the	DET
cana-810	220	16	global	global	ADJ
cana-810	220	17	stability	stability	NOUN
cana-810	220	18	of	of	ADP
cana-810	220	19	the	the	DET
cana-810	220	20	indigenous	indigenous	ADJ
cana-810	220	21	equilibrium	equilibrium	NOUN
cana-810	220	22	point	point	NOUN
cana-810	220	23	σc	σc	PROPN
cana-810	220	24	.	.	PROPN
cana-810	220	25	to	to	ADP
cana-810	220	26	this	this	DET
cana-810	220	27	end	end	NOUN
cana-810	220	28	,	,	PUNCT
cana-810	220	29	we	we	PRON
cana-810	220	30	define	define	VERB
cana-810	220	31	the	the	DET
cana-810	220	32	definition	definition	NOUN
cana-810	220	33	that	that	PRON
cana-810	220	34	follows	follow	VERB
cana-810	220	35	l(s	l(s	PROPN
cana-810	220	36	,	,	PUNCT
cana-810	220	37	e1	e1	PROPN
cana-810	220	38	,	,	PUNCT
cana-810	220	39	e2	e2	PROPN
cana-810	220	40	,	,	PUNCT
cana-810	220	41	i1	i1	PROPN
cana-810	220	42	,	,	PUNCT
cana-810	220	43	i2	i2	PROPN
cana-810	220	44	,	,	PUNCT
cana-810	220	45	r	r	NOUN
cana-810	220	46	)	)	PUNCT
cana-810	220	47	=	=	SYM
cana-810	220	48	1	1	NUM
cana-810	220	49	2	2	NUM
cana-810	220	50	(	(	PUNCT
cana-810	220	51	(	(	PUNCT
cana-810	220	52	s	s	AUX
cana-810	220	53	−	−	NOUN
cana-810	220	54	s∗)+(e1	s∗)+(e1	NOUN
cana-810	220	55	−	−	PROPN
cana-810	220	56	e1	e1	NOUN
cana-810	220	57	∗	∗	NOUN
cana-810	220	58	)	)	PUNCT
cana-810	221	1	+	+	CCONJ
cana-810	221	2	(	(	PUNCT
cana-810	221	3	e2	e2	PROPN
cana-810	221	4	−	−	PROPN
cana-810	221	5	e2	e2	PROPN
cana-810	221	6	∗	∗	NOUN
cana-810	221	7	)	)	PUNCT
cana-810	222	1	+	+	CCONJ
cana-810	222	2	(	(	PUNCT
cana-810	222	3	i1	i1	PROPN
cana-810	222	4	−	−	PROPN
cana-810	222	5	i1	i1	PROPN
cana-810	222	6	∗	∗	PROPN
cana-810	222	7	)	)	PUNCT
cana-810	223	1	+	+	CCONJ
cana-810	223	2	(	(	PUNCT
cana-810	223	3	i2	i2	PROPN
cana-810	223	4	−	−	PROPN
cana-810	223	5	i2	i2	PROPN
cana-810	223	6	∗	∗	NOUN
cana-810	223	7	)	)	PUNCT
cana-810	224	1	+	+	CCONJ
cana-810	224	2	(	(	PUNCT
cana-810	224	3	r	r	NOUN
cana-810	224	4	−	−	PROPN
cana-810	224	5	r∗	r∗	PROPN
cana-810	224	6	)	)	PUNCT
cana-810	224	7	)	)	PUNCT
cana-810	225	1	the	the	DET
cana-810	225	2	function	function	NOUN
cana-810	225	3	l	l	NOUN
cana-810	225	4	has	have	VERB
cana-810	225	5	a	a	DET
cana-810	225	6	value	value	NOUN
cana-810	225	7	greater	great	ADJ
cana-810	225	8	than	than	ADP
cana-810	225	9	zero	zero	NUM
cana-810	225	10	,	,	PUNCT
cana-810	225	11	and	and	CCONJ
cana-810	225	12	at	at	ADP
cana-810	225	13	the	the	DET
cana-810	225	14	predominant	predominant	ADJ
cana-810	225	15	equilibrium	equilibrium	NOUN
cana-810	225	16	point	point	NOUN
cana-810	225	17	σc	σc	PROPN
cana-810	225	18	it	it	PRON
cana-810	225	19	equals	equal	VERB
cana-810	225	20	zero	zero	NUM
cana-810	225	21	.	.	PUNCT
cana-810	226	1	when	when	SCONJ
cana-810	226	2	we	we	PRON
cana-810	226	3	differentiation	differentiation	VERB
cana-810	226	4	the	the	DET
cana-810	226	5	function	function	NOUN
cana-810	226	6	in	in	ADP
cana-810	226	7	relation	relation	NOUN
cana-810	226	8	to	to	ADP
cana-810	226	9	time	time	NOUN
cana-810	226	10	,	,	PUNCT
cana-810	226	11	we	we	PRON
cana-810	226	12	get	get	VERB
cana-810	226	13	dl	dl	INTJ
cana-810	226	14	dt	dt	NOUN
cana-810	226	15	=	=	PUNCT
cana-810	226	16	(	(	PUNCT
cana-810	226	17	(	(	PUNCT
cana-810	226	18	s	s	AUX
cana-810	226	19	−	−	PROPN
cana-810	226	20	s∗)+(e1	s∗)+(e1	NOUN
cana-810	226	21	−	−	PROPN
cana-810	226	22	e1	e1	NOUN
cana-810	226	23	∗	∗	NOUN
cana-810	226	24	)	)	PUNCT
cana-810	227	1	+	+	CCONJ
cana-810	227	2	(	(	PUNCT
cana-810	227	3	e2	e2	PROPN
cana-810	227	4	−	−	PROPN
cana-810	227	5	e2	e2	PROPN
cana-810	227	6	∗	∗	NOUN
cana-810	227	7	)	)	PUNCT
cana-810	228	1	+	+	CCONJ
cana-810	228	2	(	(	PUNCT
cana-810	228	3	i1	i1	PROPN
cana-810	228	4	−	−	PROPN
cana-810	228	5	i1	i1	PROPN
cana-810	228	6	∗	∗	PROPN
cana-810	228	7	)	)	PUNCT
cana-810	229	1	+	+	CCONJ
cana-810	229	2	(	(	PUNCT
cana-810	229	3	i2	i2	PROPN
cana-810	229	4	−	−	PROPN
cana-810	229	5	i2	i2	PROPN
cana-810	229	6	∗	∗	NOUN
cana-810	229	7	)	)	PUNCT
cana-810	230	1	+	+	CCONJ
cana-810	230	2	(	(	PUNCT
cana-810	230	3	r	r	NOUN
cana-810	230	4	−	−	PROPN
cana-810	230	5	r∗	r∗	PROPN
cana-810	230	6	)	)	PUNCT
cana-810	230	7	)	)	PUNCT
cana-810	231	1	ds	ds	ADP
cana-810	231	2	dt	dt	NOUN
cana-810	231	3	+	+	CCONJ
cana-810	231	4	de1	de1	PROPN
cana-810	231	5	dt	dt	PROPN
cana-810	232	1	+	+	CCONJ
cana-810	232	2	de2	de2	X
cana-810	232	3	dt	dt	NOUN
cana-810	233	1	+	+	CCONJ
cana-810	233	2	di1	di1	ADJ
cana-810	233	3	dt	dt	NOUN
cana-810	233	4	+	+	CCONJ
cana-810	233	5	di2	di2	PROPN
cana-810	233	6	dt	dt	X
cana-810	234	1	+	+	CCONJ
cana-810	234	2	dr	dr	PROPN
cana-810	234	3	dt	dt	PROPN
cana-810	234	4	=	=	PUNCT
cana-810	234	5	(	(	PUNCT
cana-810	234	6	n	n	CCONJ
cana-810	234	7	−	−	PROPN
cana-810	234	8	π	π	PROPN
cana-810	234	9	μ	μ	PROPN
cana-810	234	10	)	)	PUNCT
cana-810	234	11	(	(	PUNCT
cana-810	234	12	π−	π−	NOUN
cana-810	234	13	μn	μn	PROPN
cana-810	234	14	)	)	PUNCT
cana-810	234	15	≤	≤	NOUN
cana-810	234	16	(	(	PUNCT
cana-810	234	17	n	n	CCONJ
cana-810	234	18	−	−	PROPN
cana-810	234	19	π	π	PROPN
cana-810	234	20	μ	μ	PROPN
cana-810	234	21	)	)	PUNCT
cana-810	234	22	(	(	PUNCT
cana-810	234	23	π−	π−	NOUN
cana-810	234	24	μn	μn	NOUN
cana-810	234	25	)	)	PUNCT
cana-810	234	26	≤	≤	NOUN
cana-810	235	1	−	−	PROPN
cana-810	235	2	(	(	PUNCT
cana-810	235	3	π−μn	π−μn	NOUN
cana-810	235	4	n	n	CCONJ
cana-810	235	5	)	)	PUNCT
cana-810	235	6	2	2	NUM
cana-810	235	7	≤	≤	NOUN
cana-810	235	8	0	0	NUM
cana-810	235	9	(	(	PUNCT
cana-810	235	10	39	39	NUM
cana-810	235	11	)	)	PUNCT
cana-810	235	12	in	in	ADP
cana-810	235	13	cases	case	NOUN
cana-810	235	14	where	where	SCONJ
cana-810	235	15	,	,	PUNCT
cana-810	235	16	the	the	DET
cana-810	235	17	function	function	NOUN
cana-810	235	18	is	be	AUX
cana-810	235	19	strictly	strictly	ADV
cana-810	235	20	lyapunov	lyapunov	ADJ
cana-810	235	21	and	and	CCONJ
cana-810	235	22	from	from	ADP
cana-810	235	23	a	a	DET
cana-810	235	24	global	global	ADJ
cana-810	235	25	asymptotic	asymptotic	ADJ
cana-810	235	26	perspective	perspective	NOUN
cana-810	235	27	,	,	PUNCT
cana-810	235	28	the	the	DET
cana-810	235	29	permanent	permanent	ADJ
cana-810	235	30	equilibrium	equilibrium	NOUN
cana-810	235	31	point	point	NOUN
cana-810	235	32	σc	σc	PROPN
cana-810	235	33	is	be	AUX
cana-810	235	34	stable	stable	ADJ
cana-810	235	35	.	.	PUNCT
cana-810	236	1	this	this	PRON
cana-810	236	2	is	be	AUX
cana-810	236	3	valid	valid	ADJ
cana-810	236	4	for	for	ADP
cana-810	236	5	r0	r0	NOUN
cana-810	236	6	c	c	PROPN
cana-810	236	7	>	>	X
cana-810	236	8	1	1	NUM
cana-810	236	9	,	,	PUNCT
cana-810	236	10	as	as	SCONJ
cana-810	236	11	this	this	PRON
cana-810	236	12	proves	prove	VERB
cana-810	236	13	that	that	SCONJ
cana-810	236	14	σc	σc	PROPN
cana-810	236	15	exists	exist	VERB
cana-810	236	16	.	.	PUNCT
cana-810	237	1	both	both	PRON
cana-810	237	2	epidemiologically	epidemiologically	ADV
cana-810	237	3	and	and	CCONJ
cana-810	237	4	clinically	clinically	ADV
cana-810	237	5	,	,	PUNCT
cana-810	237	6	these	these	DET
cana-810	237	7	results	result	NOUN
cana-810	237	8	point	point	VERB
cana-810	237	9	to	to	ADP
cana-810	237	10	a	a	DET
cana-810	237	11	very	very	ADV
cana-810	237	12	long	long	ADJ
cana-810	237	13	survival	survival	NOUN
cana-810	237	14	period	period	NOUN
cana-810	237	15	for	for	ADP
cana-810	237	16	tuberculosis	tuberculosis	NOUN
cana-810	237	17	in	in	ADP
cana-810	237	18	humans	human	NOUN
cana-810	237	19	.	.	PUNCT
cana-810	238	1	theorem	theorem	NOUN
cana-810	238	2	5	5	NUM
cana-810	238	3	.	.	PUNCT
cana-810	239	1	the	the	DET
cana-810	239	2	mathematical	mathematical	ADJ
cana-810	239	3	subsystems	subsystem	NOUN
cana-810	239	4	(	(	PUNCT
cana-810	239	5	1	1	X
cana-810	239	6	)	)	PUNCT
cana-810	239	7	have	have	AUX
cana-810	239	8	unique	unique	ADJ
cana-810	239	9	solution	solution	NOUN
cana-810	239	10	if	if	SCONJ
cana-810	239	11	it	it	PRON
cana-810	239	12	is	be	AUX
cana-810	239	13	determined	determine	VERB
cana-810	239	14	that	that	SCONJ
cana-810	239	15	∂ti	∂ti	PROPN
cana-810	239	16	∂tb	∂tb	PROPN
cana-810	239	17	,	,	PUNCT
cana-810	239	18	tb	tb	X
cana-810	239	19	=	=	SYM
cana-810	239	20	(	(	PUNCT
cana-810	239	21	1	1	X
cana-810	239	22	)	)	PUNCT
cana-810	239	23	are	be	AUX
cana-810	239	24	continuous	continuous	ADJ
cana-810	239	25	and	and	CCONJ
cana-810	239	26	bounded	bound	VERB
cana-810	239	27	on	on	ADP
cana-810	239	28	ω.let	ω.let	PROPN
cana-810	239	29	ω	ω	PROPN
cana-810	239	30	be	be	AUX
cana-810	239	31	the	the	DET
cana-810	239	32	regionαti	regionαti	ADJ
cana-810	239	33	∈	∈	NOUN
cana-810	239	34	ℝ+	ℝ+	PUNCT
cana-810	239	35	6	6	NUM
cana-810	239	36	proof	proof	NOUN
cana-810	239	37	let	let	VERB
cana-810	239	38	equation	equation	NOUN
cana-810	239	39	(	(	PUNCT
cana-810	239	40	1	1	X
cana-810	239	41	)	)	PUNCT
cana-810	239	42	represented	represent	VERB
cana-810	239	43	by	by	ADP
cana-810	239	44	ti	ti	PROPN
cana-810	239	45	=	=	PROPN
cana-810	239	46	t1	t1	PROPN
cana-810	239	47	,	,	PUNCT
cana-810	239	48	t2	t2	NOUN
cana-810	239	49	,	,	PUNCT
cana-810	239	50	t3	t3	PROPN
cana-810	239	51	,	,	PUNCT
cana-810	239	52	t4	t4	PROPN
cana-810	239	53	,	,	PUNCT
cana-810	239	54	t5	t5	PROPN
cana-810	239	55	,	,	PUNCT
cana-810	239	56	t6	t6	PROPN
cana-810	239	57	respectively	respectively	ADV
cana-810	239	58	from	from	ADP
cana-810	239	59	equation	equation	NOUN
cana-810	239	60	(	(	PUNCT
cana-810	239	61	1	1	NUM
cana-810	239	62	)	)	PUNCT
cana-810	239	63	of	of	ADP
cana-810	239	64	tb	tb	NOUN
cana-810	239	65	=	=	SYM
cana-810	239	66	s	s	PROPN
cana-810	239	67	,	,	PUNCT
cana-810	239	68	e1	e1	PROPN
cana-810	239	69	,	,	PUNCT
cana-810	239	70	e2	e2	PROPN
cana-810	239	71	,	,	PUNCT
cana-810	239	72	i1	i1	PROPN
cana-810	239	73	,	,	PUNCT
cana-810	239	74	i2	i2	PROPN
cana-810	239	75	,	,	PUNCT
cana-810	239	76	r	r	NOUN
cana-810	239	77	the	the	DET
cana-810	239	78	following	follow	VERB
cana-810	239	79	partal	partal	ADJ
cana-810	239	80	derivatives	derivative	NOUN
cana-810	239	81	are	be	AUX
cana-810	239	82	obtained	obtain	VERB
cana-810	239	83	.	.	PUNCT
cana-810	240	1	from	from	ADP
cana-810	240	2	equation	equation	NOUN
cana-810	240	3	(	(	PUNCT
cana-810	240	4	1	1	NUM
cana-810	240	5	)	)	PUNCT
cana-810	240	6	,	,	PUNCT
cana-810	240	7	s	s	AUX
cana-810	240	8	following	follow	VERB
cana-810	240	9	partial	partial	ADJ
cana-810	240	10	derivatives	derivative	NOUN
cana-810	240	11	are	be	AUX
cana-810	240	12	obtained	obtain	VERB
cana-810	240	13	|	|	ADV
cana-810	240	14	∂t1	∂t1	PROPN
cana-810	240	15	∂s	∂s	PROPN
cana-810	240	16	|	|	ADV
cana-810	240	17	=	=	SYM
cana-810	240	18	|γ	|γ	ADP
cana-810	240	19	−	−	PROPN
cana-810	240	20	β	β	X
cana-810	240	21	−	−	PROPN
cana-810	240	22	μ|	μ|	NOUN
cana-810	240	23	<	<	X
cana-810	240	24	∞	∞	PROPN
cana-810	240	25	;	;	PUNCT
cana-810	240	26	|	|	ADV
cana-810	240	27	∂t1	∂t1	ADP
cana-810	240	28	∂e1	∂e1	PROPN
cana-810	240	29	|	|	ADV
cana-810	240	30	=	=	NOUN
cana-810	240	31	0	0	PUNCT
cana-810	240	32	<	<	X
cana-810	240	33	∞	∞	PROPN
cana-810	240	34	;	;	PUNCT
cana-810	240	35	|	|	ADV
cana-810	240	36	∂t1	∂t1	NOUN
cana-810	240	37	∂e2	∂e2	PROPN
cana-810	240	38	|	|	ADV
cana-810	240	39	=	=	SYM
cana-810	240	40	0	0	PUNCT
cana-810	240	41	<	<	X
cana-810	240	42	∞	∞	PROPN
cana-810	240	43	;	;	PUNCT
cana-810	240	44	|	|	ADV
cana-810	240	45	∂t1	∂t1	NOUN
cana-810	240	46	∂i1	∂i1	NOUN
cana-810	240	47	|	|	ADV
cana-810	240	48	=	=	SYM
cana-810	240	49	0	0	PUNCT
cana-810	240	50	<	<	X
cana-810	240	51	∞	∞	PROPN
cana-810	240	52	;	;	PUNCT
cana-810	240	53	|	|	ADV
cana-810	240	54	∂t1	∂t1	NOUN
cana-810	240	55	∂i2	∂i2	NOUN
cana-810	240	56	|	|	ADV
cana-810	240	57	=	=	SYM
cana-810	240	58	0	0	PUNCT
cana-810	240	59	<	<	X
cana-810	240	60	∞	∞	PROPN
cana-810	240	61	;	;	PUNCT
cana-810	240	62	|	|	ADV
cana-810	240	63	∂t1	∂t1	NOUN
cana-810	241	1	∂r	∂r	NOUN
cana-810	241	2	|	|	ADV
cana-810	241	3	=	=	SYM
cana-810	241	4	0	0	PUNCT
cana-810	241	5	<	<	X
cana-810	241	6	∞;(40	∞;(40	PROPN
cana-810	241	7	)	)	PUNCT
cana-810	241	8	the	the	DET
cana-810	241	9	above	above	ADJ
cana-810	241	10	partial	partial	ADJ
cana-810	241	11	derivatives	derivative	NOUN
cana-810	241	12	exist	exist	VERB
cana-810	241	13	,	,	PUNCT
cana-810	241	14	are	be	AUX
cana-810	241	15	continuous	continuous	ADJ
cana-810	241	16	and	and	CCONJ
cana-810	241	17	are	be	AUX
cana-810	241	18	bounded	bound	VERB
cana-810	241	19	.	.	PUNCT
cana-810	242	1	from	from	ADP
cana-810	242	2	equation	equation	NOUN
cana-810	242	3	(	(	PUNCT
cana-810	242	4	1),e1	1),e1	NUM
cana-810	242	5	following	follow	VERB
cana-810	242	6	partial	partial	ADJ
cana-810	242	7	derivatives	derivative	NOUN
cana-810	242	8	are	be	AUX
cana-810	242	9	obtained	obtain	VERB
cana-810	242	10	.	.	PUNCT
cana-810	243	1	communications	communication	NOUN
cana-810	243	2	on	on	ADP
cana-810	243	3	applied	apply	VERB
cana-810	243	4	nonlinear	nonlinear	ADJ
cana-810	243	5	analysis	analysis	NOUN
cana-810	243	6	issn	issn	NOUN
cana-810	243	7	:	:	PUNCT
cana-810	243	8	1074	1074	NUM
cana-810	243	9	-	-	PUNCT
cana-810	243	10	133x	133x	NUM
cana-810	243	11	vol	vol	NOUN
cana-810	243	12	31	31	NUM
cana-810	243	13	no	no	NOUN
cana-810	243	14	.	.	PUNCT
cana-810	244	1	3s	3s	NUM
cana-810	244	2	(	(	PUNCT
cana-810	244	3	2024	2024	NUM
cana-810	244	4	)	)	PUNCT
cana-810	244	5	570	570	NUM
cana-810	244	6	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	244	7	m	m	PROPN
cana-810	244	8	|	|	ADV
cana-810	244	9	∂t2	∂t2	NOUN
cana-810	244	10	∂e1	∂e1	PROPN
cana-810	244	11	|	|	NOUN
cana-810	244	12	=	=	PUNCT
cana-810	244	13	|−σ	|−σ	NOUN
cana-810	244	14	−	−	PROPN
cana-810	245	1	μ|	μ|	NOUN
cana-810	245	2	<	<	X
cana-810	245	3	∞	∞	PROPN
cana-810	245	4	;	;	PUNCT
cana-810	245	5	|	|	ADV
cana-810	245	6	∂t2	∂t2	NOUN
cana-810	245	7	∂e2	∂e2	VERB
cana-810	245	8	|	|	ADV
cana-810	245	9	=	=	NOUN
cana-810	245	10	0	0	PUNCT
cana-810	245	11	<	<	X
cana-810	245	12	∞	∞	PROPN
cana-810	245	13	;	;	PUNCT
cana-810	246	1	|	|	ADV
cana-810	246	2	∂t2	∂t2	NOUN
cana-810	246	3	∂i1	∂i1	NOUN
cana-810	246	4	|	|	ADV
cana-810	246	5	=	=	NOUN
cana-810	246	6	0	0	PUNCT
cana-810	246	7	<	<	X
cana-810	246	8	∞	∞	PROPN
cana-810	246	9	;	;	PUNCT
cana-810	246	10	|	|	ADV
cana-810	246	11	∂t2	∂t2	NOUN
cana-810	246	12	∂i2	∂i2	NOUN
cana-810	246	13	|	|	ADV
cana-810	246	14	=	=	SYM
cana-810	246	15	0	0	PUNCT
cana-810	246	16	<	<	X
cana-810	246	17	∞	∞	PROPN
cana-810	246	18	;	;	PUNCT
cana-810	247	1	|	|	ADV
cana-810	247	2	∂t2	∂t2	NOUN
cana-810	247	3	∂s	∂s	PROPN
cana-810	247	4	|	|	NOUN
cana-810	247	5	=	=	SYM
cana-810	247	6	|γ|0	|γ|0	PROPN
cana-810	247	7	<	<	X
cana-810	247	8	∞	∞	PROPN
cana-810	247	9	;	;	PUNCT
cana-810	247	10	|	|	ADV
cana-810	247	11	∂t2	∂t2	NOUN
cana-810	248	1	∂r	∂r	PUNCT
cana-810	248	2	|	|	ADV
cana-810	248	3	=	=	SYM
cana-810	248	4	0	0	PUNCT
cana-810	248	5	<	<	X
cana-810	248	6	∞;(41	∞;(41	PROPN
cana-810	248	7	)	)	PUNCT
cana-810	248	8	existing	exist	VERB
cana-810	248	9	,	,	PUNCT
cana-810	248	10	continuous	continuous	ADJ
cana-810	248	11	,	,	PUNCT
cana-810	248	12	and	and	CCONJ
cana-810	248	13	constrained	constrain	VERB
cana-810	248	14	are	be	AUX
cana-810	248	15	the	the	DET
cana-810	248	16	partial	partial	ADJ
cana-810	248	17	derivatives	derivative	NOUN
cana-810	248	18	mentioned	mention	VERB
cana-810	248	19	above	above	ADV
cana-810	248	20	.	.	PUNCT
cana-810	249	1	from	from	ADP
cana-810	249	2	equation	equation	NOUN
cana-810	249	3	(	(	PUNCT
cana-810	249	4	1),e2	1),e2	NUM
cana-810	249	5	following	follow	VERB
cana-810	249	6	partial	partial	ADJ
cana-810	249	7	derivatives	derivative	NOUN
cana-810	249	8	are	be	AUX
cana-810	249	9	obtained	obtain	VERB
cana-810	249	10	.	.	PUNCT
cana-810	250	1	|	|	ADV
cana-810	250	2	∂t3	∂t3	ADJ
cana-810	250	3	∂e2	∂e2	NOUN
cana-810	250	4	|	|	NOUN
cana-810	250	5	=	=	SYM
cana-810	250	6	|ζ	|ζ	PROPN
cana-810	251	1	−	−	PROPN
cana-810	251	2	μ|	μ|	NOUN
cana-810	251	3	<	<	X
cana-810	251	4	∞	∞	PROPN
cana-810	251	5	;	;	PUNCT
cana-810	251	6	|	|	ADV
cana-810	251	7	∂t3	∂t3	ADJ
cana-810	251	8	∂e1	∂e1	PROPN
cana-810	251	9	|	|	NOUN
cana-810	251	10	=	=	NOUN
cana-810	251	11	0	0	PUNCT
cana-810	251	12	<	<	X
cana-810	251	13	∞	∞	PROPN
cana-810	251	14	;	;	PUNCT
cana-810	251	15	|	|	ADV
cana-810	251	16	∂t3	∂t3	ADJ
cana-810	251	17	∂i1	∂i1	NOUN
cana-810	251	18	|	|	NOUN
cana-810	251	19	=	=	NOUN
cana-810	251	20	0	0	PUNCT
cana-810	251	21	<	<	X
cana-810	251	22	∞	∞	PROPN
cana-810	251	23	;	;	PUNCT
cana-810	251	24	|	|	ADV
cana-810	251	25	∂t3	∂t3	ADJ
cana-810	251	26	∂i2	∂i2	NOUN
cana-810	252	1	|	|	NOUN
cana-810	252	2	=	=	SYM
cana-810	252	3	|−δ|0	|−δ|0	PROPN
cana-810	252	4	<	<	X
cana-810	252	5	∞	∞	PROPN
cana-810	252	6	;	;	PUNCT
cana-810	252	7	|	|	ADV
cana-810	252	8	∂t3	∂t3	PROPN
cana-810	252	9	∂s	∂s	PROPN
cana-810	253	1	|	|	ADV
cana-810	253	2	=	=	SYM
cana-810	253	3	|β|	|β|	X
cana-810	253	4	<	<	X
cana-810	253	5	∞	∞	PROPN
cana-810	253	6	;	;	PUNCT
cana-810	253	7	|	|	ADV
cana-810	253	8	∂t3	∂t3	ADJ
cana-810	254	1	∂r	∂r	PROPN
cana-810	254	2	|	|	NOUN
cana-810	254	3	=	=	SYM
cana-810	254	4	0	0	NUM
cana-810	254	5	<	<	X
cana-810	254	6	∞;(42	∞;(42	PROPN
cana-810	254	7	)	)	PUNCT
cana-810	254	8	existing	exist	VERB
cana-810	254	9	,	,	PUNCT
cana-810	254	10	continuous	continuous	ADJ
cana-810	254	11	,	,	PUNCT
cana-810	254	12	and	and	CCONJ
cana-810	254	13	constrained	constrain	VERB
cana-810	254	14	are	be	AUX
cana-810	254	15	the	the	DET
cana-810	254	16	partial	partial	ADJ
cana-810	254	17	derivatives	derivative	NOUN
cana-810	254	18	mentioned	mention	VERB
cana-810	254	19	above	above	ADV
cana-810	254	20	.	.	PUNCT
cana-810	255	1	from	from	ADP
cana-810	255	2	equation	equation	NOUN
cana-810	255	3	(	(	PUNCT
cana-810	255	4	1),i1	1),i1	NUM
cana-810	255	5	following	follow	VERB
cana-810	255	6	partial	partial	ADJ
cana-810	255	7	derivatives	derivative	NOUN
cana-810	255	8	are	be	AUX
cana-810	255	9	obtained	obtain	VERB
cana-810	255	10	.	.	PUNCT
cana-810	256	1	|	|	ADV
cana-810	256	2	∂t4	∂t4	INTJ
cana-810	256	3	∂i1	∂i1	NOUN
cana-810	257	1	|	|	ADV
cana-810	257	2	=	=	PUNCT
cana-810	257	3	|−ω	|−ω	PROPN
cana-810	257	4	−	−	PROPN
cana-810	257	5	ϑ	ϑ	NOUN
cana-810	257	6	−	−	PROPN
cana-810	257	7	μ|	μ|	NOUN
cana-810	257	8	<	<	X
cana-810	257	9	∞	∞	PROPN
cana-810	257	10	;	;	PUNCT
cana-810	258	1	|	|	ADV
cana-810	258	2	∂t4	∂t4	INTJ
cana-810	258	3	∂e1	∂e1	PROPN
cana-810	258	4	|	|	NOUN
cana-810	258	5	=	=	SYM
cana-810	258	6	|σ|	|σ|	PROPN
cana-810	258	7	<	<	X
cana-810	258	8	∞	∞	PROPN
cana-810	258	9	;	;	PUNCT
cana-810	258	10	|	|	ADV
cana-810	258	11	∂t4	∂t4	NOUN
cana-810	258	12	∂e2	∂e2	VERB
cana-810	258	13	|	|	ADV
cana-810	258	14	=	=	NOUN
cana-810	258	15	0	0	PUNCT
cana-810	258	16	<	<	X
cana-810	258	17	∞	∞	PROPN
cana-810	258	18	;	;	PUNCT
cana-810	258	19	|	|	ADV
cana-810	258	20	∂t4	∂t4	ADJ
cana-810	258	21	∂i2	∂i2	NOUN
cana-810	259	1	|	|	ADV
cana-810	259	2	=	=	PUNCT
cana-810	259	3	|−θ|	|−θ|	X
cana-810	259	4	<	<	X
cana-810	259	5	∞	∞	PROPN
cana-810	259	6	;	;	PUNCT
cana-810	260	1	|	|	ADV
cana-810	260	2	∂t4	∂t4	NOUN
cana-810	260	3	∂s	∂s	PROPN
cana-810	261	1	|	|	ADV
cana-810	261	2	=	=	SYM
cana-810	261	3	0	0	PUNCT
cana-810	261	4	<	<	X
cana-810	261	5	∞;|	∞;|	PROPN
cana-810	261	6	∂t4	∂t4	NOUN
cana-810	262	1	∂r	∂r	PROPN
cana-810	263	1	|	|	ADV
cana-810	263	2	=	=	SYM
cana-810	263	3	0	0	PUNCT
cana-810	263	4	<	<	X
cana-810	263	5	∞	∞	PROPN
cana-810	263	6	;	;	PUNCT
cana-810	263	7	(	(	PUNCT
cana-810	263	8	43	43	X
cana-810	263	9	)	)	PUNCT
cana-810	263	10	existing	exist	VERB
cana-810	263	11	,	,	PUNCT
cana-810	263	12	continuous	continuous	ADJ
cana-810	263	13	,	,	PUNCT
cana-810	263	14	and	and	CCONJ
cana-810	263	15	constrained	constrain	VERB
cana-810	263	16	are	be	AUX
cana-810	263	17	the	the	DET
cana-810	263	18	partial	partial	ADJ
cana-810	263	19	derivatives	derivative	NOUN
cana-810	263	20	mentioned	mention	VERB
cana-810	263	21	above	above	ADV
cana-810	263	22	.	.	PUNCT
cana-810	264	1	from	from	ADP
cana-810	264	2	equation	equation	NOUN
cana-810	264	3	(	(	PUNCT
cana-810	264	4	1	1	NUM
cana-810	264	5	)	)	PUNCT
cana-810	264	6	,	,	PUNCT
cana-810	264	7	i2following	i2followe	VERB
cana-810	264	8	partial	partial	ADJ
cana-810	264	9	derivatives	derivative	NOUN
cana-810	264	10	are	be	AUX
cana-810	264	11	obtained	obtain	VERB
cana-810	264	12	.	.	PUNCT
cana-810	265	1	|	|	ADV
cana-810	265	2	∂t5	∂t5	ADJ
cana-810	265	3	∂i2	∂i2	NOUN
cana-810	265	4	|	|	ADV
cana-810	265	5	=	=	SYM
cana-810	265	6	|−δ	|−δ	PROPN
cana-810	265	7	−	−	PROPN
cana-810	265	8	θ	θ	PROPN
cana-810	265	9	−	−	NOUN
cana-810	266	1	α	α	INTJ
cana-810	266	2	−	−	PROPN
cana-810	267	1	μ|	μ|	NOUN
cana-810	267	2	<	<	X
cana-810	267	3	∞	∞	PROPN
cana-810	267	4	;	;	PUNCT
cana-810	267	5	|	|	ADV
cana-810	268	1	∂t5	∂t5	DET
cana-810	268	2	∂e1	∂e1	PROPN
cana-810	268	3	|	|	NOUN
cana-810	268	4	=	=	NOUN
cana-810	268	5	0	0	PUNCT
cana-810	268	6	<	<	X
cana-810	268	7	∞	∞	PROPN
cana-810	268	8	;	;	PUNCT
cana-810	268	9	|	|	ADV
cana-810	268	10	∂t5	∂t5	ADJ
cana-810	268	11	∂e2	∂e2	PROPN
cana-810	268	12	|	|	ADV
cana-810	268	13	=	=	PUNCT
cana-810	268	14	|−ξ|	|−ξ|	VERB
cana-810	268	15	<	<	X
cana-810	268	16	∞	∞	PROPN
cana-810	268	17	;	;	PUNCT
cana-810	269	1	|	|	ADV
cana-810	269	2	∂t5	∂t5	ADJ
cana-810	269	3	∂i1	∂i1	NOUN
cana-810	269	4	|	|	ADV
cana-810	269	5	=	=	SYM
cana-810	269	6	|ϑ|0	|ϑ|0	PROPN
cana-810	269	7	<	<	X
cana-810	269	8	∞	∞	PROPN
cana-810	269	9	;	;	PUNCT
cana-810	269	10	|	|	ADV
cana-810	269	11	∂t5	∂t5	PROPN
cana-810	269	12	∂s	∂s	PROPN
cana-810	270	1	|	|	ADV
cana-810	270	2	=	=	SYM
cana-810	270	3	0	0	PUNCT
cana-810	270	4	<	<	X
cana-810	270	5	∞	∞	PROPN
cana-810	270	6	;	;	PUNCT
cana-810	270	7	|	|	ADV
cana-810	270	8	∂t5	∂t5	ADJ
cana-810	271	1	∂r	∂r	INTJ
cana-810	272	1	|	|	ADV
cana-810	272	2	=	=	SYM
cana-810	272	3	0	0	PUNCT
cana-810	273	1	<	<	X
cana-810	273	2	∞	∞	PROPN
cana-810	273	3	;	;	PUNCT
cana-810	273	4	(	(	PUNCT
cana-810	273	5	44	44	NUM
cana-810	273	6	)	)	PUNCT
cana-810	273	7	existing	exist	VERB
cana-810	273	8	,	,	PUNCT
cana-810	273	9	continuous	continuous	ADJ
cana-810	273	10	,	,	PUNCT
cana-810	273	11	and	and	CCONJ
cana-810	273	12	constrained	constrain	VERB
cana-810	273	13	are	be	AUX
cana-810	273	14	the	the	DET
cana-810	273	15	partial	partial	ADJ
cana-810	273	16	derivatives	derivative	NOUN
cana-810	273	17	mentioned	mention	VERB
cana-810	273	18	above	above	ADV
cana-810	273	19	.	.	PUNCT
cana-810	274	1	from	from	ADP
cana-810	274	2	equation	equation	NOUN
cana-810	274	3	(	(	PUNCT
cana-810	274	4	1),rfollowing	1),rfollowing	NUM
cana-810	274	5	partial	partial	ADJ
cana-810	274	6	derivatives	derivative	NOUN
cana-810	274	7	are	be	AUX
cana-810	274	8	obtained	obtain	VERB
cana-810	274	9	.	.	PUNCT
cana-810	275	1	|	|	ADV
cana-810	275	2	∂t6	∂t6	PRON
cana-810	275	3	∂r	∂r	INTJ
cana-810	275	4	|	|	ADV
cana-810	275	5	=	=	SYM
cana-810	275	6	|μ|	|μ|	NOUN
cana-810	275	7	<	<	X
cana-810	275	8	∞	∞	PROPN
cana-810	275	9	;	;	PUNCT
cana-810	275	10	|	|	ADV
cana-810	275	11	∂t6	∂t6	VERB
cana-810	275	12	∂e1	∂e1	PROPN
cana-810	275	13	|	|	NOUN
cana-810	275	14	=	=	NOUN
cana-810	275	15	0	0	PUNCT
cana-810	275	16	<	<	X
cana-810	275	17	∞	∞	PROPN
cana-810	275	18	;	;	PUNCT
cana-810	275	19	|	|	ADV
cana-810	275	20	∂t6	∂t6	NOUN
cana-810	275	21	∂e2	∂e2	VERB
cana-810	275	22	|	|	ADV
cana-810	275	23	=	=	NOUN
cana-810	275	24	0	0	PUNCT
cana-810	275	25	<	<	X
cana-810	275	26	∞	∞	PROPN
cana-810	275	27	;	;	PUNCT
cana-810	275	28	|	|	ADV
cana-810	275	29	∂t6	∂t6	NOUN
cana-810	275	30	∂i1	∂i1	NOUN
cana-810	275	31	|	|	ADV
cana-810	275	32	=	=	SYM
cana-810	275	33	|ω|	|ω|	VERB
cana-810	275	34	<	<	X
cana-810	275	35	∞	∞	PROPN
cana-810	275	36	;	;	PUNCT
cana-810	275	37	|	|	ADV
cana-810	275	38	∂t6	∂t6	NOUN
cana-810	275	39	∂i2	∂i2	NOUN
cana-810	275	40	|	|	ADV
cana-810	275	41	=	=	SYM
cana-810	275	42	|−α|	|−α|	ADJ
cana-810	275	43	<	<	X
cana-810	275	44	∞;|	∞;|	PROPN
cana-810	275	45	∂t6	∂t6	NOUN
cana-810	275	46	∂s	∂s	PROPN
cana-810	276	1	|	|	ADV
cana-810	276	2	=	=	SYM
cana-810	276	3	0	0	PUNCT
cana-810	276	4	<	<	X
cana-810	276	5	∞;(45	∞;(45	PROPN
cana-810	276	6	)	)	PUNCT
cana-810	276	7	the	the	DET
cana-810	276	8	above	above	ADJ
cana-810	276	9	partial	partial	ADJ
cana-810	276	10	derivatives	derivative	NOUN
cana-810	276	11	exist	exist	VERB
cana-810	276	12	,	,	PUNCT
cana-810	276	13	are	be	AUX
cana-810	276	14	continuous	continuous	ADJ
cana-810	276	15	and	and	CCONJ
cana-810	276	16	are	be	AUX
cana-810	276	17	bounded	bound	VERB
cana-810	276	18	.	.	PUNCT
cana-810	277	1	since	since	SCONJ
cana-810	277	2	all	all	DET
cana-810	277	3	the	the	DET
cana-810	277	4	partial	partial	ADJ
cana-810	277	5	derivatives	derivative	NOUN
cana-810	277	6	exist	exist	VERB
cana-810	277	7	and	and	CCONJ
cana-810	277	8	are	be	AUX
cana-810	277	9	bounded	bound	VERB
cana-810	277	10	and	and	CCONJ
cana-810	277	11	defined	define	VERB
cana-810	277	12	,	,	PUNCT
cana-810	277	13	the	the	DET
cana-810	277	14	system	system	NOUN
cana-810	277	15	of	of	ADP
cana-810	277	16	equations	equation	NOUN
cana-810	277	17	(	(	PUNCT
cana-810	277	18	1	1	X
cana-810	277	19	)	)	PUNCT
cana-810	277	20	exists	exist	VERB
cana-810	277	21	and	and	CCONJ
cana-810	277	22	has	have	VERB
cana-810	277	23	solutions.ℝ+	solutions.ℝ+	PROPN
cana-810	277	24	6	6	NUM
cana-810	277	25	.	.	PUNCT
cana-810	278	1	global	global	ADJ
cana-810	278	2	stability	stability	NOUN
cana-810	278	3	of	of	ADP
cana-810	278	4	endemi	endemi	PROPN
cana-810	278	5	equilibrium	equilibrium	PROPN
cana-810	278	6	theorem	theorem	VERB
cana-810	278	7	6	6	NUM
cana-810	278	8	the	the	DET
cana-810	278	9	endemic	endemic	ADJ
cana-810	278	10	point	point	NOUN
cana-810	278	11	𝔼∗	𝔼∗	ADJ
cana-810	278	12	unique	unique	ADJ
cana-810	278	13	equilibrium	equilibrium	NOUN
cana-810	278	14	is	be	AUX
cana-810	278	15	globally	globally	ADV
cana-810	278	16	asymptotically	asymptotically	ADV
cana-810	278	17	stable	stable	ADJ
cana-810	278	18	if	if	SCONJ
cana-810	278	19	r0	r0	NOUN
cana-810	278	20	>	>	X
cana-810	278	21	1	1	NUM
cana-810	278	22	.	.	PUNCT
cana-810	279	1	proof	proof	NOUN
cana-810	279	2	let	let	VERB
cana-810	279	3	us	we	PRON
cana-810	279	4	assume	assume	VERB
cana-810	279	5	that	that	SCONJ
cana-810	279	6	the	the	DET
cana-810	279	7	accompanying	accompanying	ADJ
cana-810	279	8	lyapunov	lyapunov	NOUN
cana-810	279	9	function	function	NOUN
cana-810	279	10	tb	tb	X
cana-810	279	11	(	(	PUNCT
cana-810	279	12	s∗	s∗	PROPN
cana-810	279	13	⬚	⬚	PROPN
cana-810	279	14	,	,	PUNCT
cana-810	279	15	e1	e1	NOUN
cana-810	279	16	∗	∗	NOUN
cana-810	279	17	,	,	PUNCT
cana-810	279	18	e2	e2	PROPN
cana-810	279	19	∗	∗	NOUN
cana-810	279	20	,	,	PUNCT
cana-810	279	21	i1	i1	PROPN
cana-810	279	22	∗	∗	PROPN
cana-810	279	23	⬚	⬚	PROPN
cana-810	279	24	i2	i2	PROPN
cana-810	279	25	∗	∗	NOUN
cana-810	279	26	,	,	PUNCT
cana-810	279	27	r∗	r∗	PROPN
cana-810	279	28	⬚	⬚	PROPN
cana-810	279	29	)	)	PUNCT
cana-810	279	30	(	(	PUNCT
cana-810	279	31	s	s	AUX
cana-810	279	32	−	−	NOUN
cana-810	279	33	s∗	s∗	PROPN
cana-810	279	34	⬚	⬚	PROPN
cana-810	279	35	−	−	PROPN
cana-810	279	36	shin	shin	NOUN
cana-810	279	37	s∗	s∗	PROPN
cana-810	279	38	⬚	⬚	PROPN
cana-810	279	39	s∗	s∗	PROPN
cana-810	279	40	⬚	⬚	PROPN
cana-810	279	41	)	)	PUNCT
cana-810	280	1	+	+	CCONJ
cana-810	280	2	(	(	PUNCT
cana-810	280	3	e1	e1	NOUN
cana-810	280	4	−	−	PROPN
cana-810	280	5	e1	e1	NOUN
cana-810	280	6	∗	∗	NOUN
cana-810	280	7	−	−	NOUN
cana-810	280	8	e1	e1	NOUN
cana-810	280	9	in	in	ADP
cana-810	280	10	e1	e1	NOUN
cana-810	280	11	∗	∗	NOUN
cana-810	280	12	e1	e1	NOUN
cana-810	280	13	∗	∗	NOUN
cana-810	280	14	⬚	⬚	PROPN
cana-810	280	15	)	)	PUNCT
cana-810	281	1	+	+	CCONJ
cana-810	281	2	(	(	PUNCT
cana-810	281	3	e2	e2	PROPN
cana-810	281	4	−	−	PROPN
cana-810	281	5	e2	e2	PROPN
cana-810	281	6	∗	∗	NOUN
cana-810	281	7	−	−	PROPN
cana-810	281	8	e2	e2	PROPN
cana-810	281	9	in	in	ADP
cana-810	281	10	e2	e2	PROPN
cana-810	281	11	∗	∗	PROPN
cana-810	281	12	e2	e2	PROPN
cana-810	281	13	∗	∗	NOUN
cana-810	281	14	⬚	⬚	PROPN
cana-810	281	15	)	)	PUNCT
cana-810	281	16	+	+	CCONJ
cana-810	281	17	(	(	PUNCT
cana-810	281	18	i1	i1	PROPN
cana-810	281	19	−	−	PROPN
cana-810	281	20	i1	i1	PROPN
cana-810	281	21	∗	∗	VERB
cana-810	281	22	−	−	PROPN
cana-810	281	23	i1	i1	PROPN
cana-810	281	24	in	in	ADP
cana-810	281	25	i1	i1	PROPN
cana-810	281	26	∗	∗	PROPN
cana-810	281	27	i1	i1	PROPN
cana-810	281	28	∗	∗	PROPN
cana-810	281	29	)	)	PUNCT
cana-810	281	30	+	+	CCONJ
cana-810	281	31	(	(	PUNCT
cana-810	281	32	i2	i2	PROPN
cana-810	281	33	−	−	PROPN
cana-810	281	34	i2	i2	PROPN
cana-810	281	35	∗	∗	PROPN
cana-810	281	36	−	−	PROPN
cana-810	281	37	i2	i2	PROPN
cana-810	281	38	in	in	ADP
cana-810	281	39	i2	i2	PROPN
cana-810	281	40	∗	∗	PROPN
cana-810	281	41	i2	i2	PROPN
cana-810	281	42	∗	∗	PROPN
cana-810	281	43	⬚	⬚	PROPN
cana-810	281	44	)	)	PUNCT
cana-810	282	1	+	+	CCONJ
cana-810	282	2	(	(	PUNCT
cana-810	282	3	r	r	NOUN
cana-810	282	4	−	−	PROPN
cana-810	282	5	r∗	r∗	NOUN
cana-810	282	6	−	−	PROPN
cana-810	282	7	rin	rin	NOUN
cana-810	282	8	r∗	r∗	PROPN
cana-810	282	9	r∗	r∗	PROPN
cana-810	282	10	⬚	⬚	PROPN
cana-810	282	11	)	)	PUNCT
cana-810	283	1	(	(	PUNCT
cana-810	283	2	46	46	X
cana-810	283	3	)	)	PUNCT
cana-810	283	4	communications	communication	NOUN
cana-810	283	5	on	on	ADP
cana-810	283	6	applied	apply	VERB
cana-810	283	7	nonlinear	nonlinear	ADJ
cana-810	283	8	analysis	analysis	NOUN
cana-810	283	9	issn	issn	NOUN
cana-810	283	10	:	:	PUNCT
cana-810	283	11	1074	1074	NUM
cana-810	283	12	-	-	PUNCT
cana-810	283	13	133x	133x	NUM
cana-810	283	14	vol	vol	NOUN
cana-810	283	15	31	31	NUM
cana-810	283	16	no	no	NOUN
cana-810	283	17	.	.	PUNCT
cana-810	284	1	3s	3s	NUM
cana-810	284	2	(	(	PUNCT
cana-810	284	3	2024	2024	NUM
cana-810	284	4	)	)	PUNCT
cana-810	284	5	571	571	NUM
cana-810	284	6	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	284	7	m	m	AUX
cana-810	284	8	computing	compute	VERB
cana-810	284	9	the	the	DET
cana-810	284	10	derivative	derivative	NOUN
cana-810	284	11	of	of	ADP
cana-810	284	12	tb	tb	NOUN
cana-810	284	13	,	,	PUNCT
cana-810	284	14	we	we	PRON
cana-810	284	15	get	get	VERB
cana-810	284	16	ltb	ltb	NOUN
cana-810	284	17	dt	dt	NOUN
cana-810	284	18	=	=	PUNCT
cana-810	284	19	(	(	PUNCT
cana-810	284	20	(	(	PUNCT
cana-810	284	21	s−s∗	s−s∗	NOUN
cana-810	284	22	⬚	⬚	PROPN
cana-810	284	23	s∗	s∗	PROPN
cana-810	284	24	)	)	PUNCT
cana-810	285	1	ds	ds	ADP
cana-810	285	2	dt	dt	X
cana-810	285	3	+	+	PROPN
cana-810	285	4	(	(	PUNCT
cana-810	285	5	e1−e1	e1−e1	PROPN
cana-810	285	6	∗	∗	NOUN
cana-810	285	7	⬚	⬚	PROPN
cana-810	285	8	e1	e1	NOUN
cana-810	285	9	∗	∗	NOUN
cana-810	285	10	)	)	PUNCT
cana-810	286	1	de1	de1	PROPN
cana-810	286	2	dt	dt	PROPN
cana-810	287	1	+	+	CCONJ
cana-810	287	2	(	(	PUNCT
cana-810	287	3	e2−e2	e2−e2	NUM
cana-810	287	4	∗	∗	NOUN
cana-810	287	5	⬚	⬚	PROPN
cana-810	287	6	e2	e2	PROPN
cana-810	287	7	∗	∗	NOUN
cana-810	287	8	)	)	PUNCT
cana-810	287	9	de2	de2	NOUN
cana-810	287	10	dt	dt	NOUN
cana-810	288	1	+	+	CCONJ
cana-810	288	2	(	(	PUNCT
cana-810	288	3	i1−i1	i1−i1	NUM
cana-810	288	4	∗	∗	NOUN
cana-810	288	5	⬚	⬚	PROPN
cana-810	288	6	i1	i1	PROPN
cana-810	288	7	∗	∗	X
cana-810	288	8	)	)	PUNCT
cana-810	288	9	di1	di1	INTJ
cana-810	288	10	dt	dt	ADP
cana-810	289	1	+	+	CCONJ
cana-810	289	2	(	(	PUNCT
cana-810	289	3	i2−i2	i2−i2	NUM
cana-810	289	4	∗	∗	NOUN
cana-810	289	5	⬚	⬚	PROPN
cana-810	289	6	i2	i2	PROPN
cana-810	289	7	∗	∗	NOUN
cana-810	289	8	)	)	PUNCT
cana-810	290	1	di2	di2	PROPN
cana-810	290	2	dt	dt	X
cana-810	290	3	+	+	CCONJ
cana-810	290	4	(	(	PUNCT
cana-810	290	5	r−r∗	r−r∗	PROPN
cana-810	290	6	⬚	⬚	PROPN
cana-810	290	7	r∗	r∗	PROPN
cana-810	290	8	)	)	PUNCT
cana-810	290	9	dr	dr	PROPN
cana-810	290	10	dt	dt	PROPN
cana-810	290	11	)	)	PUNCT
cana-810	291	1	substituting	substitute	VERB
cana-810	291	2	our	our	PRON
cana-810	291	3	model	model	NOUN
cana-810	291	4	equations	equation	NOUN
cana-810	291	5	in	in	ADP
cana-810	291	6	ltb	ltb	PROPN
cana-810	291	7	dt	dt	PROPN
cana-810	291	8	above	above	ADV
cana-810	291	9	we	we	PRON
cana-810	291	10	get	get	VERB
cana-810	291	11	ltb	ltb	NOUN
cana-810	291	12	dt	dt	NOUN
cana-810	291	13	=	=	PUNCT
cana-810	291	14	(	(	PUNCT
cana-810	291	15	(	(	PUNCT
cana-810	291	16	s−s∗	s−s∗	NOUN
cana-810	291	17	⬚	⬚	PROPN
cana-810	291	18	s∗	s∗	PROPN
cana-810	291	19	)	)	PUNCT
cana-810	291	20	(	(	PUNCT
cana-810	291	21	π−	π−	NOUN
cana-810	291	22	γs	γ	VERB
cana-810	291	23	−	−	PROPN
cana-810	291	24	βs	βs	NOUN
cana-810	292	1	−	−	NOUN
cana-810	292	2	μs	μs	NOUN
cana-810	292	3	)	)	PUNCT
cana-810	293	1	+	+	PROPN
cana-810	293	2	(	(	PUNCT
cana-810	293	3	e1−e1	e1−e1	PROPN
cana-810	293	4	∗	∗	NOUN
cana-810	293	5	⬚	⬚	PROPN
cana-810	293	6	e1	e1	NOUN
cana-810	293	7	∗	∗	NOUN
cana-810	293	8	)	)	PUNCT
cana-810	293	9	(	(	PUNCT
cana-810	293	10	γs	γs	X
cana-810	293	11	−	−	NOUN
cana-810	293	12	σe1	σe1	NOUN
cana-810	293	13	−	−	PROPN
cana-810	293	14	μe1	μe1	NOUN
cana-810	293	15	)	)	PUNCT
cana-810	294	1	+	+	CCONJ
cana-810	294	2	(	(	PUNCT
cana-810	294	3	e2−e2	e2−e2	NUM
cana-810	294	4	∗	∗	NOUN
cana-810	294	5	⬚	⬚	PROPN
cana-810	294	6	e2	e2	PROPN
cana-810	294	7	∗	∗	NOUN
cana-810	294	8	)	)	PUNCT
cana-810	294	9	(	(	PUNCT
cana-810	294	10	βs	βs	X
cana-810	295	1	+	+	CCONJ
cana-810	295	2	δi2	δi2	PROPN
cana-810	295	3	−	−	PRON
cana-810	295	4	ξe2	ξe2	NOUN
cana-810	295	5	−	−	PROPN
cana-810	295	6	μe2	μe2	NUM
cana-810	295	7	)	)	PUNCT
cana-810	295	8	+	+	CCONJ
cana-810	295	9	(	(	PUNCT
cana-810	295	10	i1−i1	i1−i1	NUM
cana-810	295	11	∗	∗	NOUN
cana-810	295	12	⬚	⬚	PROPN
cana-810	295	13	i1	i1	PROPN
cana-810	295	14	∗	∗	PROPN
cana-810	295	15	)	)	PUNCT
cana-810	295	16	(	(	PUNCT
cana-810	295	17	σe1	σe1	NOUN
cana-810	295	18	+	+	CCONJ
cana-810	295	19	θi2	θi2	NOUN
cana-810	295	20	−ωi1	−ωi1	X
cana-810	295	21	−	−	NOUN
cana-810	295	22	ϑi1	ϑi1	NOUN
cana-810	295	23	−	−	PROPN
cana-810	295	24	μi1	μi1	NOUN
cana-810	295	25	)	)	PUNCT
cana-810	296	1	+	+	CCONJ
cana-810	296	2	(	(	PUNCT
cana-810	296	3	i2−i2	i2−i2	NUM
cana-810	296	4	∗	∗	NOUN
cana-810	296	5	⬚	⬚	PROPN
cana-810	296	6	i2	i2	PROPN
cana-810	296	7	∗	∗	NOUN
cana-810	296	8	)	)	PUNCT
cana-810	296	9	(	(	PUNCT
cana-810	296	10	ϑi1	ϑi1	X
cana-810	296	11	+	+	CCONJ
cana-810	296	12	ξe2	ξe2	PROPN
cana-810	296	13	−	−	NOUN
cana-810	296	14	δi2	δi2	NOUN
cana-810	296	15	−	−	PROPN
cana-810	297	1	θi2	θi2	NOUN
cana-810	297	2	−	−	NOUN
cana-810	298	1	αi2	αi2	INTJ
cana-810	298	2	−	−	NUM
cana-810	298	3	μi1	μi1	NUM
cana-810	298	4	)	)	PUNCT
cana-810	299	1	+	+	CCONJ
cana-810	299	2	(	(	PUNCT
cana-810	299	3	r−r∗	r−r∗	PROPN
cana-810	299	4	⬚	⬚	PROPN
cana-810	299	5	r∗	r∗	PROPN
cana-810	299	6	)	)	PUNCT
cana-810	299	7	(	(	PUNCT
cana-810	299	8	ωi1	ωi1	PROPN
cana-810	299	9	+	+	CCONJ
cana-810	300	1	αi2	αi2	VERB
cana-810	300	2	−	−	NUM
cana-810	300	3	μr	μr	NOUN
cana-810	300	4	)	)	PUNCT
cana-810	300	5	)	)	PUNCT
cana-810	300	6	(	(	PUNCT
cana-810	300	7	47	47	NUM
cana-810	300	8	)	)	PUNCT
cana-810	300	9	here	here	ADV
cana-810	300	10	considered	consider	VERB
cana-810	300	11	a	a	DET
cana-810	300	12	and	and	CCONJ
cana-810	300	13	b	b	NOUN
cana-810	300	14	values	value	NOUN
cana-810	300	15	are	be	AUX
cana-810	300	16	positive	positive	ADJ
cana-810	300	17	and	and	CCONJ
cana-810	300	18	negative	negative	ADJ
cana-810	300	19	.	.	PUNCT
cana-810	301	1	then	then	ADV
cana-810	301	2	ltb	ltb	PROPN
cana-810	301	3	dt	dt	PROPN
cana-810	301	4	=	=	PROPN
cana-810	301	5	a	a	DET
cana-810	301	6	−	−	PROPN
cana-810	301	7	b.	b.	NOUN
cana-810	302	1	a	a	X
cana-810	302	2	=	=	X
cana-810	302	3	(	(	PUNCT
cana-810	302	4	(	(	PUNCT
cana-810	302	5	γs	γs	X
cana-810	302	6	+	+	PRON
cana-810	302	7	βs	βs	NOUN
cana-810	303	1	+	+	CCONJ
cana-810	303	2	μs)s∗	μs)s∗	ADJ
cana-810	303	3	+	+	CCONJ
cana-810	303	4	(	(	PUNCT
cana-810	303	5	σe1	σe1	NOUN
cana-810	303	6	+	+	CCONJ
cana-810	303	7	μe1)e1	μe1)e1	DET
cana-810	303	8	∗	∗	NOUN
cana-810	303	9	+	+	CCONJ
cana-810	303	10	(	(	PUNCT
cana-810	303	11	ξe2	ξe2	NOUN
cana-810	303	12	+	+	NOUN
cana-810	303	13	μe2)e2	μe2)e2	NOUN
cana-810	303	14	∗	∗	NOUN
cana-810	303	15	+	+	CCONJ
cana-810	303	16	(	(	PUNCT
cana-810	303	17	ωi1	ωi1	NOUN
cana-810	303	18	+	+	CCONJ
cana-810	303	19	ϑi1	ϑi1	NOUN
cana-810	303	20	+	+	CCONJ
cana-810	303	21	μi1)i1	μi1)i1	ADJ
cana-810	303	22	∗	∗	NOUN
cana-810	303	23	+	+	CCONJ
cana-810	303	24	(	(	PUNCT
cana-810	303	25	δi2	δi2	X
cana-810	303	26	+	+	CCONJ
cana-810	303	27	θi2	θi2	NOUN
cana-810	304	1	+	+	NOUN
cana-810	304	2	αi2	αi2	VERB
cana-810	305	1	+	+	SYM
cana-810	305	2	μi2)i2	μi2)i2	NOUN
cana-810	305	3	∗	∗	NOUN
cana-810	305	4	+	+	PROPN
cana-810	305	5	(	(	PUNCT
cana-810	305	6	μr)r∗	μr)r∗	PROPN
cana-810	305	7	)	)	PUNCT
cana-810	305	8	b	b	NOUN
cana-810	305	9	=	=	SYM
cana-810	305	10	(	(	PUNCT
cana-810	305	11	π	π	NOUN
cana-810	305	12	)	)	PUNCT
cana-810	305	13	s∗	s∗	PROPN
cana-810	305	14	s	s	PART
cana-810	305	15	+	+	CCONJ
cana-810	305	16	(	(	PUNCT
cana-810	305	17	γs	γs	NOUN
cana-810	305	18	)	)	PUNCT
cana-810	305	19	e∗	e∗	NOUN
cana-810	305	20	e1	e1	PROPN
cana-810	305	21	+	+	CCONJ
cana-810	305	22	(	(	PUNCT
cana-810	305	23	βs	βs	X
cana-810	305	24	+	+	CCONJ
cana-810	305	25	δi2	δi2	PROPN
cana-810	305	26	)	)	PUNCT
cana-810	305	27	e2	e2	PROPN
cana-810	305	28	∗	∗	PROPN
cana-810	305	29	e2	e2	PROPN
cana-810	305	30	+	+	CCONJ
cana-810	305	31	(	(	PUNCT
cana-810	305	32	βe	βe	PROPN
cana-810	305	33	+	+	NUM
cana-810	305	34	θi2	θi2	PROPN
cana-810	305	35	)	)	PUNCT
cana-810	305	36	i1	i1	PROPN
cana-810	305	37	∗	∗	PROPN
cana-810	305	38	i1	i1	PROPN
cana-810	306	1	+	+	CCONJ
cana-810	306	2	(	(	PUNCT
cana-810	306	3	ϑi1	ϑi1	X
cana-810	306	4	+	+	CCONJ
cana-810	306	5	ξe2	ξe2	NOUN
cana-810	306	6	)	)	PUNCT
cana-810	306	7	i2	i2	PROPN
cana-810	306	8	∗	∗	NOUN
cana-810	306	9	i2	i2	PROPN
cana-810	306	10	+	+	CCONJ
cana-810	306	11	(	(	PUNCT
cana-810	306	12	ωi1	ωi1	NOUN
cana-810	306	13	+	+	NUM
cana-810	306	14	αi2	αi2	NOUN
cana-810	306	15	)	)	PUNCT
cana-810	306	16	r∗	r∗	VERB
cana-810	306	17	r	r	NOUN
cana-810	306	18	if	if	SCONJ
cana-810	306	19	a	a	DET
cana-810	306	20	<	<	X
cana-810	306	21	b	b	X
cana-810	306	22	then	then	ADV
cana-810	306	23	ltb	ltb	PROPN
cana-810	306	24	dt	dt	PROPN
cana-810	306	25	≤	≤	PROPN
cana-810	306	26	0	0	NUM
cana-810	306	27	,	,	PUNCT
cana-810	306	28	ltb	ltb	PROPN
cana-810	306	29	dt	dt	NOUN
cana-810	306	30	=	=	SYM
cana-810	306	31	0	0	PROPN
cana-810	306	32	(	(	PUNCT
cana-810	306	33	48	48	NUM
cana-810	306	34	)	)	PUNCT
cana-810	307	1	if	if	SCONJ
cana-810	307	2	and	and	CCONJ
cana-810	307	3	only	only	ADV
cana-810	307	4	if	if	SCONJ
cana-810	307	5	s	s	VERB
cana-810	307	6	=	=	X
cana-810	307	7	s∗	s∗	NOUN
cana-810	307	8	=	=	SYM
cana-810	307	9	e1	e1	PROPN
cana-810	307	10	=	=	NOUN
cana-810	307	11	e1	e1	NOUN
cana-810	307	12	∗	∗	NOUN
cana-810	307	13	=	=	SYM
cana-810	307	14	e2	e2	PROPN
cana-810	307	15	=	=	PROPN
cana-810	307	16	e2	e2	PROPN
cana-810	307	17	∗	∗	NOUN
cana-810	307	18	=	=	PROPN
cana-810	307	19	i1	i1	PROPN
cana-810	307	20	=	=	PROPN
cana-810	307	21	i1	i1	PROPN
cana-810	307	22	∗	∗	PROPN
cana-810	307	23	=	=	PROPN
cana-810	307	24	i2	i2	PROPN
cana-810	307	25	=	=	PROPN
cana-810	307	26	i2	i2	PROPN
cana-810	307	27	∗	∗	NOUN
cana-810	307	28	=	=	SYM
cana-810	307	29	r	r	NOUN
cana-810	307	30	=	=	SYM
cana-810	307	31	r∗	r∗	PROPN
cana-810	307	32	(	(	PUNCT
cana-810	307	33	s	s	PROPN
cana-810	307	34	,	,	PUNCT
cana-810	307	35	e1	e1	PROPN
cana-810	307	36	,	,	PUNCT
cana-810	307	37	e2	e2	PROPN
cana-810	307	38	,	,	PUNCT
cana-810	307	39	i1	i1	PROPN
cana-810	307	40	,	,	PUNCT
cana-810	307	41	i2	i2	PROPN
cana-810	307	42	,	,	PUNCT
cana-810	307	43	r	r	NOUN
cana-810	307	44	)	)	PUNCT
cana-810	307	45	∈	∈	PROPN
cana-810	307	46	ltb	ltb	NOUN
cana-810	307	47	dt	dt	PROPN
cana-810	307	48	=	=	SYM
cana-810	307	49	0	0	NUM
cana-810	307	50	(	(	PUNCT
cana-810	307	51	49	49	NUM
cana-810	307	52	)	)	PUNCT
cana-810	307	53	we	we	PRON
cana-810	307	54	demonstrate	demonstrate	VERB
cana-810	307	55	that	that	SCONJ
cana-810	307	56	the	the	DET
cana-810	307	57	endemic	endemic	ADJ
cana-810	307	58	equilibrium	equilibrium	NOUN
cana-810	307	59	result	result	NOUN
cana-810	307	60	is	be	AUX
cana-810	307	61	asymptotically	asymptotically	ADV
cana-810	307	62	stable	stable	ADJ
cana-810	308	1	[	[	X
cana-810	308	2	38	38	NUM
cana-810	308	3	]	]	PUNCT
cana-810	308	4	.	.	PUNCT
cana-810	309	1	numerical	numerical	PROPN
cana-810	309	2	reproduction	reproduction	NOUN
cana-810	309	3	we	we	PRON
cana-810	309	4	carried	carry	VERB
cana-810	309	5	out	out	ADP
cana-810	309	6	numerical	numerical	ADJ
cana-810	309	7	simulations	simulation	NOUN
cana-810	309	8	show	show	VERB
cana-810	309	9	that	that	SCONJ
cana-810	309	10	the	the	DET
cana-810	309	11	resultsofqualitative	resultsofqualitative	ADJ
cana-810	309	12	analysis	analysis	NOUN
cana-810	309	13	.	.	PUNCT
cana-810	310	1	the	the	DET
cana-810	310	2	process	process	NOUN
cana-810	310	3	of	of	ADP
cana-810	310	4	simulation	simulation	NOUN
cana-810	310	5	modeling	modeling	NOUN
cana-810	310	6	is	be	AUX
cana-810	310	7	carried	carry	VERB
cana-810	310	8	out	out	ADP
cana-810	310	9	with	with	ADP
cana-810	310	10	the	the	DET
cana-810	310	11	use	use	NOUN
cana-810	310	12	of	of	ADP
cana-810	310	13	variables	variable	NOUN
cana-810	310	14	and	and	CCONJ
cana-810	310	15	parameters	parameter	NOUN
cana-810	310	16	.	.	PUNCT
cana-810	311	1	to	to	PART
cana-810	311	2	demonstrate	demonstrate	VERB
cana-810	311	3	our	our	PRON
cana-810	311	4	parameters	parameter	NOUN
cana-810	311	5	and	and	CCONJ
cana-810	311	6	area	area	NOUN
cana-810	311	7	characteristics	characteristic	NOUN
cana-810	311	8	,	,	PUNCT
cana-810	311	9	we	we	PRON
cana-810	311	10	made	make	VERB
cana-810	311	11	a	a	DET
cana-810	311	12	few	few	ADJ
cana-810	311	13	assumptions	assumption	NOUN
cana-810	311	14	about	about	ADP
cana-810	311	15	the	the	DET
cana-810	311	16	parameter	parameter	NOUN
cana-810	311	17	values	value	NOUN
cana-810	311	18	.	.	PUNCT
cana-810	312	1	numerical	numerical	PROPN
cana-810	312	2	estimation	estimation	NOUN
cana-810	312	3	has	have	AUX
cana-810	312	4	been	be	AUX
cana-810	312	5	established	establish	VERB
cana-810	312	6	by	by	ADP
cana-810	312	7	using	use	VERB
cana-810	312	8	matlab	matlab	PROPN
cana-810	312	9	,	,	PUNCT
cana-810	312	10	it	it	PRON
cana-810	312	11	has	have	AUX
cana-810	312	12	demonstrated	demonstrate	VERB
cana-810	312	13	the	the	DET
cana-810	312	14	primary	primary	ADJ
cana-810	312	15	results	result	NOUN
cana-810	312	16	of	of	ADP
cana-810	312	17	the	the	DET
cana-810	312	18	theoretical	theoretical	ADJ
cana-810	312	19	tb	tb	NOUN
cana-810	312	20	models	model	NOUN
cana-810	312	21	.	.	PUNCT
cana-810	313	1	our	our	PRON
cana-810	313	2	investigation	investigation	NOUN
cana-810	313	3	’s	’s	PART
cana-810	313	4	final	final	ADJ
cana-810	313	5	goal	goal	NOUN
cana-810	313	6	is	be	AUX
cana-810	313	7	to	to	PART
cana-810	313	8	find	find	VERB
cana-810	313	9	out	out	ADP
cana-810	313	10	how	how	SCONJ
cana-810	313	11	prescription	prescription	NOUN
cana-810	313	12	drugs	drug	NOUN
cana-810	313	13	affect	affect	VERB
cana-810	313	14	tb	tb	ADP
cana-810	313	15	patients	patient	NOUN
cana-810	313	16	are	be	AUX
cana-810	313	17	get	get	AUX
cana-810	313	18	recovered	recover	VERB
cana-810	313	19	from	from	ADP
cana-810	313	20	the	the	DET
cana-810	313	21	tb	tb	X
cana-810	313	22	disease.in	disease.in	X
cana-810	313	23	fig.2	fig.2	PROPN
cana-810	313	24	.	.	PROPN
cana-810	313	25	explained	explain	VERB
cana-810	313	26	,	,	PUNCT
cana-810	313	27	how	how	SCONJ
cana-810	313	28	some	some	DET
cana-810	313	29	people	people	NOUN
cana-810	313	30	get	get	VERB
cana-810	313	31	tuberculosis	tuberculosis	NOUN
cana-810	313	32	promptly	promptly	ADV
cana-810	313	33	and	and	CCONJ
cana-810	313	34	how	how	SCONJ
cana-810	313	35	most	most	ADV
cana-810	313	36	susceptible	susceptible	ADJ
cana-810	313	37	humans	human	NOUN
cana-810	313	38	have	have	VERB
cana-810	313	39	an	an	DET
cana-810	313	40	excessive	excessive	ADJ
cana-810	313	41	infection	infection	NOUN
cana-810	313	42	rate	rate	NOUN
cana-810	313	43	.	.	PUNCT
cana-810	314	1	communications	communication	NOUN
cana-810	314	2	on	on	ADP
cana-810	314	3	applied	apply	VERB
cana-810	314	4	nonlinear	nonlinear	ADJ
cana-810	314	5	analysis	analysis	NOUN
cana-810	314	6	issn	issn	NOUN
cana-810	314	7	:	:	PUNCT
cana-810	314	8	1074	1074	NUM
cana-810	314	9	-	-	PUNCT
cana-810	314	10	133x	133x	NUM
cana-810	314	11	vol	vol	NOUN
cana-810	314	12	31	31	NUM
cana-810	314	13	no	no	NOUN
cana-810	314	14	.	.	PUNCT
cana-810	315	1	3s	3s	NUM
cana-810	315	2	(	(	PUNCT
cana-810	315	3	2024	2024	NUM
cana-810	315	4	)	)	PUNCT
cana-810	315	5	572	572	NUM
cana-810	315	6	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	315	7	m	m	NUM
cana-810	315	8	fig.2	fig.2	PROPN
cana-810	315	9	.	.	PUNCT
cana-810	316	1	stability	stability	NOUN
cana-810	316	2	analysis	analysis	NOUN
cana-810	316	3	of	of	ADP
cana-810	316	4	tb	tb	ADP
cana-810	316	5	population	population	NOUN
cana-810	316	6	.	.	PUNCT
cana-810	317	1	many	many	ADJ
cana-810	317	2	individuals	individual	NOUN
cana-810	317	3	did	do	AUX
cana-810	317	4	not	not	PART
cana-810	317	5	receive	receive	VERB
cana-810	317	6	enough	enough	ADJ
cana-810	317	7	information	information	NOUN
cana-810	317	8	about	about	ADP
cana-810	317	9	the	the	DET
cana-810	317	10	treatment	treatment	NOUN
cana-810	317	11	,	,	PUNCT
cana-810	317	12	even	even	ADV
cana-810	317	13	though	though	SCONJ
cana-810	317	14	some	some	DET
cana-810	317	15	individuals	individual	NOUN
cana-810	317	16	who	who	PRON
cana-810	317	17	were	be	AUX
cana-810	317	18	infected	infect	VERB
cana-810	317	19	with	with	ADP
cana-810	317	20	tuberculosis	tuberculosis	NOUN
cana-810	317	21	went	go	VERB
cana-810	317	22	on	on	ADP
cana-810	317	23	to	to	PART
cana-810	317	24	develop	develop	VERB
cana-810	317	25	the	the	DET
cana-810	317	26	disease	disease	NOUN
cana-810	317	27	after	after	ADP
cana-810	317	28	receiving	receive	VERB
cana-810	317	29	the	the	DET
cana-810	317	30	necessary	necessary	ADJ
cana-810	317	31	care	care	NOUN
cana-810	317	32	the	the	DET
cana-810	317	33	individual	individual	NOUN
cana-810	317	34	get	get	AUX
cana-810	317	35	reinfected	reinfecte	VERB
cana-810	317	36	again.tshe	again.tshe	NOUN
cana-810	317	37	values	value	NOUN
cana-810	317	38	of	of	ADP
cana-810	317	39	the	the	DET
cana-810	317	40	parameters	parameter	NOUN
cana-810	317	41	,	,	PUNCT
cana-810	317	42	in	in	ADP
cana-810	317	43	fig.2	fig.2	PROPN
cana-810	317	44	.	.	PUNCT
cana-810	318	1	we	we	PRON
cana-810	318	2	used	use	VERB
cana-810	318	3	random	random	ADJ
cana-810	318	4	values	value	NOUN
cana-810	318	5	such	such	ADJ
cana-810	318	6	as	as	ADP
cana-810	318	7	δ	δ	PROPN
cana-810	318	8	=	=	SYM
cana-810	319	1	0.10016;ϑ	0.10016;ϑ	NOUN
cana-810	320	1	=	=	SYM
cana-810	320	2	0.45;σ	0.45;σ	PROPN
cana-810	320	3	=	=	SYM
cana-810	320	4	0.3	0.3	NUM
cana-810	320	5	;	;	PUNCT
cana-810	320	6	γ	γ	X
cana-810	320	7	=	=	PROPN
cana-810	320	8	0.078	0.078	NUM
cana-810	320	9	;	;	PUNCT
cana-810	320	10	ω	ω	PROPN
cana-810	320	11	=	=	SYM
cana-810	320	12	0.9	0.9	NUM
cana-810	320	13	;	;	PUNCT
cana-810	320	14	π	π	PROPN
cana-810	320	15	=	=	PUNCT
cana-810	320	16	0.03;β	0.03;β	NOUN
cana-810	320	17	=	=	SYM
cana-810	320	18	0.7;μ	0.7;μ	NOUN
cana-810	320	19	=	=	SYM
cana-810	320	20	0.12	0.12	NUM
cana-810	320	21	;	;	PUNCT
cana-810	320	22	θ	θ	X
cana-810	320	23	=	=	SYM
cana-810	320	24	0.10	0.10	NUM
cana-810	320	25	;	;	PUNCT
cana-810	320	26	α	α	NOUN
cana-810	320	27	=	=	NOUN
cana-810	320	28	0.05	0.05	NUM
cana-810	320	29	;	;	PUNCT
cana-810	320	30	ξ	ξ	X
cana-810	320	31	=	=	SYM
cana-810	320	32	0.030	0.030	NUM
cana-810	320	33	.	.	PUNCT
cana-810	321	1	all	all	DET
cana-810	321	2	the	the	DET
cana-810	321	3	stages	stage	NOUN
cana-810	321	4	of	of	ADP
cana-810	321	5	the	the	DET
cana-810	321	6	people	people	NOUN
cana-810	321	7	are	be	AUX
cana-810	321	8	controlled	control	VERB
cana-810	321	9	and	and	CCONJ
cana-810	321	10	stable	stable	ADJ
cana-810	321	11	by	by	ADP
cana-810	321	12	using	use	VERB
cana-810	321	13	random	random	ADJ
cana-810	321	14	values	value	NOUN
cana-810	321	15	.	.	PUNCT
cana-810	322	1	fig.3	fig.3	PROPN
cana-810	322	2	.	.	PUNCT
cana-810	323	1	stability	stability	NOUN
cana-810	323	2	analysis	analysis	NOUN
cana-810	323	3	of	of	ADP
cana-810	323	4	tb	tb	ADP
cana-810	323	5	population	population	NOUN
cana-810	323	6	π	π	NOUN
cana-810	323	7	=	=	PUNCT
cana-810	323	8	100	100	NUM
cana-810	323	9	.	.	PUNCT
cana-810	324	1	infig.3	infig.3	PROPN
cana-810	324	2	some	some	DET
cana-810	324	3	people	people	NOUN
cana-810	324	4	contract	contract	VERB
cana-810	324	5	tb	tb	ADP
cana-810	324	6	rapidly	rapidly	ADV
cana-810	324	7	and	and	CCONJ
cana-810	324	8	that	that	SCONJ
cana-810	324	9	the	the	DET
cana-810	324	10	majority	majority	NOUN
cana-810	324	11	of	of	ADP
cana-810	324	12	the	the	DET
cana-810	324	13	disease	disease	NOUN
cana-810	324	14	is	be	AUX
cana-810	324	15	reduced	reduce	VERB
cana-810	324	16	,	,	PUNCT
cana-810	324	17	the	the	DET
cana-810	324	18	stability	stability	NOUN
cana-810	324	19	analysis	analysis	NOUN
cana-810	324	20	of	of	ADP
cana-810	324	21	tb	tb	ADP
cana-810	324	22	population	population	NOUN
cana-810	324	23	is	be	AUX
cana-810	324	24	controlled	control	VERB
cana-810	324	25	and	and	CCONJ
cana-810	324	26	stable	stable	ADJ
cana-810	324	27	.	.	PUNCT
cana-810	325	1	the	the	DET
cana-810	325	2	random	random	ADJ
cana-810	325	3	values	value	NOUN
cana-810	325	4	such	such	ADJ
cana-810	325	5	as	as	ADP
cana-810	325	6	δ	δ	PROPN
cana-810	325	7	=	=	SYM
cana-810	325	8	0.3571;ϑ	0.3571;ϑ	PROPN
cana-810	326	1	=	=	SYM
cana-810	326	2	0.5;σ	0.5;σ	ADJ
cana-810	326	3	=	=	SYM
cana-810	326	4	0.003	0.003	NUM
cana-810	326	5	;	;	PUNCT
cana-810	326	6	γ	γ	X
cana-810	326	7	=	=	SYM
cana-810	326	8	0.50;ω	0.50;ω	PROPN
cana-810	327	1	=	=	SYM
cana-810	327	2	0.05;π	0.05;π	PROPN
cana-810	328	1	=	=	SYM
cana-810	328	2	100;β	100;β	NUM
cana-810	328	3	=	=	SYM
cana-810	328	4	0.7	0.7	NUM
cana-810	328	5	;	;	PUNCT
cana-810	328	6	μ	μ	NUM
cana-810	328	7	=	=	SYM
cana-810	328	8	0.20	0.20	NUM
cana-810	328	9	;	;	PUNCT
cana-810	328	10	θ	θ	PROPN
cana-810	328	11	=	=	SYM
cana-810	328	12	0.7	0.7	NUM
cana-810	328	13	;	;	PUNCT
cana-810	328	14	α	α	NOUN
cana-810	328	15	=	=	NOUN
cana-810	328	16	0.5;ξ	0.5;ξ	NUM
cana-810	328	17	=	=	NOUN
cana-810	328	18	0.30	0.30	NUM
cana-810	328	19	.	.	PUNCT
cana-810	329	1	all	all	DET
cana-810	329	2	the	the	DET
cana-810	329	3	stages	stage	NOUN
cana-810	329	4	of	of	ADP
cana-810	329	5	the	the	DET
cana-810	329	6	people	people	NOUN
cana-810	329	7	are	be	AUX
cana-810	329	8	controlled	control	VERB
cana-810	329	9	and	and	CCONJ
cana-810	329	10	stable	stable	ADJ
cana-810	329	11	by	by	ADP
cana-810	329	12	using	use	VERB
cana-810	329	13	random	random	ADJ
cana-810	329	14	values	value	NOUN
cana-810	329	15	.	.	PUNCT
cana-810	330	1	communications	communication	NOUN
cana-810	330	2	on	on	ADP
cana-810	330	3	applied	apply	VERB
cana-810	330	4	nonlinear	nonlinear	ADJ
cana-810	330	5	analysis	analysis	NOUN
cana-810	330	6	issn	issn	NOUN
cana-810	330	7	:	:	PUNCT
cana-810	330	8	1074	1074	NUM
cana-810	330	9	-	-	PUNCT
cana-810	330	10	133x	133x	NUM
cana-810	330	11	vol	vol	NOUN
cana-810	330	12	31	31	NUM
cana-810	330	13	no	no	NOUN
cana-810	330	14	.	.	PUNCT
cana-810	331	1	3s	3s	NUM
cana-810	331	2	(	(	PUNCT
cana-810	331	3	2024	2024	NUM
cana-810	331	4	)	)	PUNCT
cana-810	331	5	573	573	NUM
cana-810	331	6	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	331	7	m	m	PROPN
cana-810	331	8	fig.4.stability	fig.4.stability	NOUN
cana-810	331	9	analysis	analysis	NOUN
cana-810	331	10	of	of	ADP
cana-810	331	11	tb	tb	ADP
cana-810	331	12	population	population	NOUN
cana-810	331	13	π	π	NOUN
cana-810	331	14	=	=	PUNCT
cana-810	331	15	200	200	NUM
cana-810	331	16	.	.	PUNCT
cana-810	332	1	fig.5	fig.5	NOUN
cana-810	332	2	.	.	PUNCT
cana-810	333	1	stabilityanalysisof	stabilityanalysisof	NOUN
cana-810	333	2	tb	tb	ADP
cana-810	333	3	population	population	NOUN
cana-810	333	4	π	π	NOUN
cana-810	333	5	=	=	SYM
cana-810	333	6	1000	1000	NUM
cana-810	333	7	.	.	PUNCT
cana-810	334	1	fig.6	fig.6	PROPN
cana-810	334	2	.	.	PUNCT
cana-810	335	1	stability	stability	NOUN
cana-810	335	2	analysis	analysis	NOUN
cana-810	335	3	of	of	ADP
cana-810	335	4	tb	tb	ADP
cana-810	335	5	population	population	NOUN
cana-810	335	6	π	π	NOUN
cana-810	335	7	=	=	SYM
cana-810	335	8	5000	5000	NUM
cana-810	335	9	.	.	PUNCT
cana-810	336	1	communications	communication	NOUN
cana-810	336	2	on	on	ADP
cana-810	336	3	applied	apply	VERB
cana-810	336	4	nonlinear	nonlinear	ADJ
cana-810	336	5	analysis	analysis	NOUN
cana-810	336	6	issn	issn	NOUN
cana-810	336	7	:	:	PUNCT
cana-810	336	8	1074	1074	NUM
cana-810	336	9	-	-	PUNCT
cana-810	336	10	133x	133x	NUM
cana-810	336	11	vol	vol	NOUN
cana-810	336	12	31	31	NUM
cana-810	336	13	no	no	NOUN
cana-810	336	14	.	.	PUNCT
cana-810	337	1	3s	3s	NUM
cana-810	337	2	(	(	PUNCT
cana-810	337	3	2024	2024	NUM
cana-810	337	4	)	)	PUNCT
cana-810	337	5	574	574	NUM
cana-810	337	6	https://internationalpubls.co	https://internationalpubls.co	X
cana-810	337	7	m	m	NOUN
cana-810	337	8	in	in	ADP
cana-810	337	9	fig.4	fig.4	PROPN
cana-810	337	10	.	.	PUNCT
cana-810	338	1	we	we	PRON
cana-810	338	2	used	use	VERB
cana-810	338	3	random	random	ADJ
cana-810	338	4	values	value	NOUN
cana-810	338	5	such	such	ADJ
cana-810	338	6	as	as	ADP
cana-810	338	7	δ	δ	PROPN
cana-810	338	8	=	=	PROPN
cana-810	338	9	0.3571	0.3571	NUM
cana-810	338	10	;	;	PUNCT
cana-810	338	11	ϑ	ϑ	X
cana-810	338	12	=	=	X
cana-810	338	13	0.5;σ	0.5;σ	NOUN
cana-810	338	14	=	=	NOUN
cana-810	338	15	0.03	0.03	NUM
cana-810	338	16	;	;	PUNCT
cana-810	338	17	γ	γ	X
cana-810	338	18	=	=	SYM
cana-810	338	19	0.50;ω	0.50;ω	NOUN
cana-810	338	20	=	=	SYM
cana-810	338	21	0.05;π	0.05;π	NOUN
cana-810	338	22	=	=	SYM
cana-810	339	1	200;β	200;β	NUM
cana-810	339	2	=	=	SYM
cana-810	339	3	0.7	0.7	NUM
cana-810	339	4	;	;	PUNCT
cana-810	339	5	μ	μ	NUM
cana-810	339	6	=	=	SYM
cana-810	339	7	0.20	0.20	NUM
cana-810	339	8	;	;	PUNCT
cana-810	340	1	θ	θ	PROPN
cana-810	340	2	=	=	SYM
cana-810	340	3	0.7	0.7	NUM
cana-810	340	4	;	;	PUNCT
cana-810	340	5	α	α	NOUN
cana-810	340	6	=	=	SYM
cana-810	340	7	0.5	0.5	NUM
cana-810	340	8	;	;	PUNCT
cana-810	340	9	ξ	ξ	X
cana-810	340	10	=	=	SYM
cana-810	340	11	0.30	0.30	NUM
cana-810	340	12	.	.	PUNCT
cana-810	341	1	all	all	DET
cana-810	341	2	the	the	DET
cana-810	341	3	stages	stage	NOUN
cana-810	341	4	of	of	ADP
cana-810	341	5	the	the	DET
cana-810	341	6	people	people	NOUN
cana-810	341	7	are	be	AUX
cana-810	341	8	controlled	control	VERB
cana-810	341	9	and	and	CCONJ
cana-810	341	10	stable	stable	ADJ
cana-810	341	11	.	.	PUNCT
cana-810	342	1	in	in	ADP
cana-810	342	2	fig.5	fig.5	PROPN
cana-810	342	3	.	.	PUNCT
cana-810	343	1	we	we	PRON
cana-810	343	2	used	use	VERB
cana-810	343	3	random	random	ADJ
cana-810	343	4	values	value	NOUN
cana-810	343	5	such	such	ADJ
cana-810	343	6	as	as	ADP
cana-810	343	7	δ	δ	PROPN
cana-810	343	8	=	=	SYM
cana-810	343	9	0.3571;ϑ	0.3571;ϑ	NOUN
cana-810	344	1	=	=	SYM
cana-810	344	2	0.5;σ	0.5;σ	NOUN
cana-810	344	3	=	=	SYM
cana-810	344	4	0.03	0.03	NUM
cana-810	344	5	;	;	PUNCT
cana-810	344	6	γ	γ	X
cana-810	344	7	=	=	SYM
cana-810	344	8	0.50;ω	0.50;ω	PROPN
cana-810	345	1	=	=	SYM
cana-810	345	2	0.05;π	0.05;π	PROPN
cana-810	345	3	=	=	SYM
cana-810	345	4	1000	1000	NUM
cana-810	345	5	;	;	PUNCT
cana-810	345	6	β	β	X
cana-810	345	7	=	=	SYM
cana-810	345	8	0.7	0.7	NUM
cana-810	345	9	;	;	PUNCT
cana-810	345	10	μ	μ	NUM
cana-810	345	11	=	=	SYM
cana-810	345	12	0.20	0.20	NUM
cana-810	345	13	;	;	PUNCT
cana-810	346	1	θ	θ	X
cana-810	346	2	=	=	SYM
cana-810	346	3	0.7;α	0.7;α	PUNCT
cana-810	346	4	=	=	NOUN
cana-810	346	5	0.5;ξ	0.5;ξ	NUM
cana-810	346	6	=	=	NOUN
cana-810	346	7	0.30	0.30	NUM
cana-810	346	8	.	.	PUNCT
cana-810	347	1	all	all	DET
cana-810	347	2	the	the	DET
cana-810	347	3	stages	stage	NOUN
cana-810	347	4	of	of	ADP
cana-810	347	5	the	the	DET
cana-810	347	6	people	people	NOUN
cana-810	347	7	are	be	AUX
cana-810	347	8	controlled	control	VERB
cana-810	347	9	and	and	CCONJ
cana-810	347	10	stable	stable	ADJ
cana-810	347	11	.	.	PUNCT
cana-810	348	1	in	in	ADP
cana-810	348	2	fig.6	fig.6	PROPN
cana-810	348	3	.	.	PUNCT
cana-810	349	1	we	we	PRON
cana-810	349	2	used	use	VERB
cana-810	349	3	random	random	ADJ
cana-810	349	4	values	value	NOUN
cana-810	349	5	such	such	ADJ
cana-810	349	6	asδ	asδ	ADJ
cana-810	349	7	=	=	SYM
cana-810	349	8	0.3571;ϑ	0.3571;ϑ	NOUN
cana-810	349	9	=	=	SYM
cana-810	349	10	0.5;σ	0.5;σ	ADJ
cana-810	349	11	=	=	SYM
cana-810	349	12	0.003;γ	0.003;γ	NOUN
cana-810	349	13	=	=	SYM
cana-810	349	14	0.50;ω	0.50;ω	NOUN
cana-810	349	15	=	=	SYM
cana-810	349	16	0.5	0.5	NUM
cana-810	349	17	;	;	PUNCT
cana-810	349	18	π	π	PROPN
cana-810	349	19	=	=	SYM
cana-810	349	20	5000	5000	NUM
cana-810	349	21	;	;	PUNCT
cana-810	349	22	β	β	X
cana-810	349	23	=	=	SYM
cana-810	349	24	0.7	0.7	NUM
cana-810	349	25	;	;	PUNCT
cana-810	349	26	μ	μ	NUM
cana-810	349	27	=	=	SYM
cana-810	349	28	0.20	0.20	NUM
cana-810	349	29	;	;	PUNCT
cana-810	349	30	θ	θ	X
cana-810	349	31	=	=	SYM
cana-810	349	32	0.7;α	0.7;α	PUNCT
cana-810	350	1	=	=	NOUN
cana-810	350	2	0.5	0.5	NUM
cana-810	350	3	;	;	PUNCT
cana-810	350	4	ξ	ξ	X
cana-810	350	5	=	=	SYM
cana-810	350	6	0.30	0.30	NUM
cana-810	350	7	.	.	PUNCT
cana-810	351	1	all	all	DET
cana-810	351	2	the	the	DET
cana-810	351	3	stages	stage	NOUN
cana-810	351	4	of	of	ADP
cana-810	351	5	the	the	DET
cana-810	351	6	people	people	NOUN
cana-810	351	7	are	be	AUX
cana-810	351	8	controlled	control	VERB
cana-810	351	9	and	and	CCONJ
cana-810	351	10	stable	stable	ADJ
cana-810	351	11	.	.	PUNCT
cana-810	352	1	fig.7.visualizing	fig.7.visualize	VERB
cana-810	352	2	the	the	DET
cana-810	352	3	dynamics	dynamic	NOUN
cana-810	352	4	solution	solution	NOUN
cana-810	352	5	of	of	ADP
cana-810	352	6	differentialequation	differentialequation	NOUN
cana-810	352	7	.	.	PUNCT
cana-810	353	1	in	in	ADP
cana-810	353	2	fig.7	fig.7	ADV
cana-810	353	3	.	.	PUNCT
cana-810	354	1	we	we	PRON
cana-810	354	2	used	use	VERB
cana-810	354	3	random	random	ADJ
cana-810	354	4	values	value	NOUN
cana-810	354	5	such	such	ADJ
cana-810	354	6	as	as	ADP
cana-810	354	7	δ	δ	PROPN
cana-810	354	8	=	=	PROPN
cana-810	354	9	0.3571	0.3571	NUM
cana-810	354	10	;	;	PUNCT
cana-810	354	11	ϑ	ϑ	X
cana-810	354	12	=	=	SYM
cana-810	354	13	0.5	0.5	NUM
cana-810	354	14	;	;	PUNCT
cana-810	354	15	σ	σ	PROPN
cana-810	354	16	=	=	SYM
cana-810	354	17	0.03;γ	0.03;γ	X
cana-810	354	18	=	=	SYM
cana-810	354	19	0.50	0.50	NUM
cana-810	354	20	;	;	PUNCT
cana-810	354	21	ω	ω	X
cana-810	354	22	=	=	SYM
cana-810	354	23	0.05	0.05	NUM
cana-810	354	24	;	;	PUNCT
cana-810	354	25	π	π	PROPN
cana-810	354	26	=	=	SYM
cana-810	354	27	100	100	NUM
cana-810	354	28	;	;	PUNCT
cana-810	354	29	β	β	X
cana-810	354	30	=	=	SYM
cana-810	354	31	0.7	0.7	NUM
cana-810	354	32	;	;	PUNCT
cana-810	354	33	μ	μ	NUM
cana-810	354	34	=	=	SYM
cana-810	354	35	0.20	0.20	NUM
cana-810	354	36	;	;	PUNCT
cana-810	355	1	θ	θ	PROPN
cana-810	355	2	=	=	SYM
cana-810	355	3	0.7	0.7	NUM
cana-810	355	4	;	;	PUNCT
cana-810	355	5	α	α	NOUN
cana-810	355	6	=	=	SYM
cana-810	355	7	0.5	0.5	NUM
cana-810	355	8	;	;	PUNCT
cana-810	355	9	ξ	ξ	X
cana-810	355	10	=	=	SYM
cana-810	355	11	0.30	0.30	NUM
cana-810	355	12	.	.	PUNCT
cana-810	356	1	all	all	DET
cana-810	356	2	the	the	DET
cana-810	356	3	stages	stage	NOUN
cana-810	356	4	of	of	ADP
cana-810	356	5	the	the	DET
cana-810	356	6	people	people	NOUN
cana-810	356	7	are	be	AUX
cana-810	356	8	controlled	control	VERB
cana-810	356	9	and	and	CCONJ
cana-810	356	10	stable	stable	ADJ
cana-810	356	11	.	.	PUNCT
cana-810	357	1	we	we	PRON
cana-810	357	2	visualizing	visualize	VERB
cana-810	357	3	the	the	DET
cana-810	357	4	all	all	DET
cana-810	357	5	the	the	DET
cana-810	357	6	compartments	compartment	NOUN
cana-810	357	7	of	of	ADP
cana-810	357	8	the	the	DET
cana-810	357	9	people	people	NOUN
cana-810	357	10	through	through	ADP
cana-810	357	11	solution	solution	NOUN
cana-810	357	12	of	of	ADP
cana-810	357	13	differential	differential	ADJ
cana-810	357	14	equation	equation	NOUN
cana-810	357	15	.	.	PUNCT
cana-810	358	1	communications	communication	NOUN
cana-810	358	2	on	on	ADP
cana-810	358	3	applied	apply	VERB
cana-810	358	4	nonlinear	nonlinear	ADJ
cana-810	358	5	analysis	analysis	NOUN
cana-810	358	6	issn	issn	NOUN
cana-810	358	7	:	:	PUNCT
cana-810	358	8	1074	1074	NUM
cana-810	358	9	-	-	PUNCT
cana-810	358	10	133x	133x	NUM
cana-810	358	11	vol	vol	NOUN
cana-810	358	12	31	31	NUM
cana-810	358	13	no	no	NOUN
cana-810	358	14	.	.	PUNCT
cana-810	359	1	3s	3s	NUM
cana-810	359	2	(	(	PUNCT
cana-810	359	3	2024	2024	NUM
cana-810	359	4	)	)	PUNCT
cana-810	359	5	575	575	NUM
cana-810	359	6	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	359	7	m	m	PROPN
cana-810	359	8	fig.8.stability	fig.8.stability	NOUN
cana-810	359	9	analysis	analysis	NOUN
cana-810	359	10	of	of	ADP
cana-810	359	11	tb	tb	ADP
cana-810	359	12	population	population	NOUN
cana-810	359	13	over	over	ADP
cana-810	359	14	dynamics	dynamic	NOUN
cana-810	359	15	.	.	PUNCT
cana-810	360	1	in	in	ADP
cana-810	360	2	fig.8	fig.8	PROPN
cana-810	360	3	.	.	PUNCT
cana-810	361	1	we	we	PRON
cana-810	361	2	used	use	VERB
cana-810	361	3	random	random	ADJ
cana-810	361	4	values	value	NOUN
cana-810	361	5	such	such	ADJ
cana-810	361	6	as	as	ADP
cana-810	361	7	δ	δ	PROPN
cana-810	361	8	=	=	PROPN
cana-810	361	9	0.3571	0.3571	NUM
cana-810	361	10	;	;	PUNCT
cana-810	361	11	ϑ	ϑ	X
cana-810	361	12	=	=	SYM
cana-810	361	13	0.5	0.5	NUM
cana-810	361	14	;	;	PUNCT
cana-810	361	15	σ	σ	NOUN
cana-810	361	16	=	=	SYM
cana-810	361	17	0.03	0.03	NUM
cana-810	361	18	;	;	PUNCT
cana-810	361	19	γ	γ	X
cana-810	361	20	=	=	PROPN
cana-810	361	21	0.50	0.50	NUM
cana-810	361	22	;	;	PUNCT
cana-810	361	23	ω	ω	X
cana-810	361	24	=	=	SYM
cana-810	361	25	0.05	0.05	NUM
cana-810	361	26	;	;	PUNCT
cana-810	361	27	π	π	PROPN
cana-810	361	28	=	=	SYM
cana-810	361	29	100	100	NUM
cana-810	361	30	;	;	PUNCT
cana-810	361	31	β	β	X
cana-810	361	32	=	=	SYM
cana-810	361	33	0.7	0.7	NUM
cana-810	361	34	;	;	PUNCT
cana-810	361	35	μ	μ	NUM
cana-810	361	36	=	=	SYM
cana-810	361	37	0.20	0.20	NUM
cana-810	361	38	;	;	PUNCT
cana-810	362	1	θ	θ	PROPN
cana-810	362	2	=	=	SYM
cana-810	362	3	0.7	0.7	NUM
cana-810	362	4	;	;	PUNCT
cana-810	362	5	α	α	NOUN
cana-810	362	6	=	=	SYM
cana-810	362	7	0.5	0.5	NUM
cana-810	362	8	;	;	PUNCT
cana-810	362	9	ξ	ξ	X
cana-810	362	10	=	=	SYM
cana-810	362	11	0.30	0.30	NUM
cana-810	362	12	.	.	PUNCT
cana-810	363	1	all	all	DET
cana-810	363	2	the	the	DET
cana-810	363	3	stages	stage	NOUN
cana-810	363	4	of	of	ADP
cana-810	363	5	the	the	DET
cana-810	363	6	people	people	NOUN
cana-810	363	7	are	be	AUX
cana-810	363	8	controlled	control	VERB
cana-810	363	9	and	and	CCONJ
cana-810	363	10	stable	stable	ADJ
cana-810	363	11	by	by	ADP
cana-810	363	12	using	use	VERB
cana-810	363	13	random	random	ADJ
cana-810	363	14	values	value	NOUN
cana-810	363	15	.	.	PUNCT
cana-810	364	1	the	the	DET
cana-810	364	2	stability	stability	NOUN
cana-810	364	3	analysis	analysis	NOUN
cana-810	364	4	of	of	ADP
cana-810	364	5	tb	tb	ADP
cana-810	364	6	population	population	NOUN
cana-810	364	7	over	over	ADP
cana-810	364	8	dynamics	dynamic	NOUN
cana-810	364	9	explored	explore	VERB
cana-810	364	10	all	all	DET
cana-810	364	11	the	the	DET
cana-810	364	12	compartments	compartment	NOUN
cana-810	364	13	of	of	ADP
cana-810	364	14	the	the	DET
cana-810	364	15	disease	disease	NOUN
cana-810	364	16	rate	rate	NOUN
cana-810	364	17	,	,	PUNCT
cana-810	364	18	its	its	PRON
cana-810	364	19	decrease	decrease	NOUN
cana-810	364	20	the	the	DET
cana-810	364	21	infection	infection	NOUN
cana-810	364	22	and	and	CCONJ
cana-810	364	23	growth	growth	NOUN
cana-810	364	24	rate	rate	NOUN
cana-810	364	25	of	of	ADP
cana-810	364	26	thedisease	thedisease	NOUN
cana-810	364	27	is	be	AUX
cana-810	364	28	stable	stable	ADJ
cana-810	364	29	.	.	PUNCT
cana-810	365	1	fig.9.comparision	fig.9.comparision	NOUN
cana-810	365	2	of	of	ADP
cana-810	365	3	tb	tb	ADP
cana-810	365	4	population	population	NOUN
cana-810	365	5	in	in	ADP
cana-810	365	6	all	all	DET
cana-810	365	7	stages	stage	NOUN
cana-810	365	8	.	.	PUNCT
cana-810	366	1	in	in	ADP
cana-810	366	2	fig.9	fig.9	PROPN
cana-810	366	3	.	.	PUNCT
cana-810	367	1	we	we	PRON
cana-810	367	2	used	use	VERB
cana-810	367	3	random	random	ADJ
cana-810	367	4	values	value	NOUN
cana-810	367	5	such	such	ADJ
cana-810	367	6	as	as	ADP
cana-810	367	7	δ	δ	PROPN
cana-810	367	8	=	=	PROPN
cana-810	367	9	0.3571	0.3571	NUM
cana-810	367	10	;	;	PUNCT
cana-810	367	11	ϑ	ϑ	X
cana-810	367	12	=	=	SYM
cana-810	367	13	0.5	0.5	NUM
cana-810	367	14	;	;	PUNCT
cana-810	367	15	σ	σ	NOUN
cana-810	367	16	=	=	SYM
cana-810	367	17	0.003	0.003	NUM
cana-810	367	18	;	;	PUNCT
cana-810	367	19	γ	γ	X
cana-810	367	20	=	=	SYM
cana-810	367	21	0.50	0.50	NUM
cana-810	367	22	;	;	PUNCT
cana-810	367	23	ω	ω	PROPN
cana-810	367	24	=	=	SYM
cana-810	367	25	0.5	0.5	NUM
cana-810	367	26	;	;	PUNCT
cana-810	367	27	π	π	PROPN
cana-810	367	28	=	=	SYM
cana-810	367	29	0.20	0.20	NUM
cana-810	367	30	;	;	PUNCT
cana-810	367	31	β	β	X
cana-810	367	32	=	=	SYM
cana-810	367	33	0.7	0.7	NUM
cana-810	367	34	;	;	PUNCT
cana-810	367	35	μ	μ	NUM
cana-810	367	36	=	=	SYM
cana-810	367	37	0.20	0.20	NUM
cana-810	367	38	;	;	PUNCT
cana-810	367	39	θ	θ	PROPN
cana-810	367	40	=	=	SYM
cana-810	367	41	0.7	0.7	NUM
cana-810	367	42	;	;	PUNCT
cana-810	367	43	α	α	NOUN
cana-810	367	44	=	=	SYM
cana-810	367	45	0.5	0.5	NUM
cana-810	367	46	;	;	PUNCT
cana-810	367	47	ξ	ξ	X
cana-810	367	48	=	=	SYM
cana-810	367	49	0.30	0.30	NUM
cana-810	367	50	.	.	PUNCT
cana-810	368	1	all	all	DET
cana-810	368	2	the	the	DET
cana-810	368	3	stages	stage	NOUN
cana-810	368	4	of	of	ADP
cana-810	368	5	the	the	DET
cana-810	368	6	people	people	NOUN
cana-810	368	7	are	be	AUX
cana-810	368	8	controlled	control	VERB
cana-810	368	9	and	and	CCONJ
cana-810	368	10	stable	stable	ADJ
cana-810	368	11	.	.	PUNCT
cana-810	369	1	communications	communication	NOUN
cana-810	369	2	on	on	ADP
cana-810	369	3	applied	apply	VERB
cana-810	369	4	nonlinear	nonlinear	ADJ
cana-810	369	5	analysis	analysis	NOUN
cana-810	369	6	issn	issn	NOUN
cana-810	369	7	:	:	PUNCT
cana-810	369	8	1074	1074	NUM
cana-810	369	9	-	-	PUNCT
cana-810	369	10	133x	133x	NUM
cana-810	369	11	vol	vol	NOUN
cana-810	369	12	31	31	NUM
cana-810	369	13	no	no	NOUN
cana-810	369	14	.	.	PUNCT
cana-810	370	1	3s	3s	NUM
cana-810	370	2	(	(	PUNCT
cana-810	370	3	2024	2024	NUM
cana-810	370	4	)	)	PUNCT
cana-810	370	5	576	576	NUM
cana-810	370	6	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	370	7	m	m	NOUN
cana-810	370	8	3	3	NUM
cana-810	370	9	.	.	PUNCT
cana-810	370	10	conclusion	conclusion	NOUN
cana-810	370	11	in	in	ADP
cana-810	370	12	this	this	DET
cana-810	370	13	paper	paper	NOUN
cana-810	370	14	we	we	PRON
cana-810	370	15	explored	explore	VERB
cana-810	370	16	the	the	DET
cana-810	370	17	mathematical	mathematical	ADJ
cana-810	370	18	simulations	simulation	NOUN
cana-810	370	19	of	of	ADP
cana-810	370	20	the	the	DET
cana-810	370	21	tuberculosis	tuberculosis	NOUN
cana-810	370	22	dynamics	dynamic	NOUN
cana-810	370	23	model	model	NOUN
cana-810	370	24	.	.	PUNCT
cana-810	371	1	whereby	whereby	SCONJ
cana-810	371	2	the	the	DET
cana-810	371	3	impact	impact	NOUN
cana-810	371	4	of	of	ADP
cana-810	371	5	the	the	DET
cana-810	371	6	density	density	NOUN
cana-810	371	7	of	of	ADP
cana-810	371	8	populations	population	NOUN
cana-810	371	9	on	on	ADP
cana-810	371	10	the	the	DET
cana-810	371	11	spread	spread	NOUN
cana-810	371	12	of	of	ADP
cana-810	371	13	the	the	DET
cana-810	371	14	tuberculosis	tuberculosis	NOUN
cana-810	371	15	disease	disease	NOUN
cana-810	371	16	is	be	AUX
cana-810	371	17	examined	examine	VERB
cana-810	371	18	.	.	PUNCT
cana-810	372	1	it	it	PRON
cana-810	372	2	is	be	AUX
cana-810	372	3	obvious	obvious	ADJ
cana-810	372	4	that	that	SCONJ
cana-810	372	5	the	the	DET
cana-810	372	6	population	population	NOUN
cana-810	372	7	density	density	NOUN
cana-810	372	8	affects	affect	VERB
cana-810	372	9	the	the	DET
cana-810	372	10	frequency	frequency	NOUN
cana-810	372	11	of	of	ADP
cana-810	372	12	interpersonal	interpersonal	ADJ
cana-810	372	13	contact	contact	NOUN
cana-810	372	14	,	,	PUNCT
cana-810	372	15	which	which	PRON
cana-810	372	16	is	be	AUX
cana-810	372	17	turn	turn	NOUN
cana-810	372	18	affects	affect	VERB
cana-810	372	19	the	the	DET
cana-810	372	20	frequency	frequency	NOUN
cana-810	372	21	of	of	ADP
cana-810	372	22	tuberculosis	tuberculosis	NOUN
cana-810	372	23	infections	infection	NOUN
cana-810	372	24	transmitted	transmit	VERB
cana-810	372	25	through	through	ADP
cana-810	372	26	the	the	DET
cana-810	372	27	air	air	NOUN
cana-810	372	28	.	.	PUNCT
cana-810	373	1	overcrowding	overcrowding	NOUN
cana-810	373	2	is	be	AUX
cana-810	373	3	thought	think	VERB
cana-810	373	4	to	to	PART
cana-810	373	5	be	be	AUX
cana-810	373	6	an	an	DET
cana-810	373	7	important	important	ADJ
cana-810	373	8	contributor	contributor	NOUN
cana-810	373	9	to	to	ADP
cana-810	373	10	the	the	DET
cana-810	373	11	rising	rise	VERB
cana-810	373	12	incidence	incidence	NOUN
cana-810	373	13	rate	rate	NOUN
cana-810	373	14	of	of	ADP
cana-810	373	15	tuberculosis	tuberculosis	NOUN
cana-810	373	16	.	.	PUNCT
cana-810	374	1	the	the	DET
cana-810	374	2	state	state	NOUN
cana-810	374	3	of	of	ADP
cana-810	374	4	equilibrium	equilibrium	NOUN
cana-810	374	5	points	point	NOUN
cana-810	374	6	in	in	ADP
cana-810	374	7	the	the	DET
cana-810	374	8	model	model	NOUN
cana-810	374	9	has	have	AUX
cana-810	374	10	been	be	AUX
cana-810	374	11	determined	determine	VERB
cana-810	374	12	and	and	CCONJ
cana-810	374	13	their	their	PRON
cana-810	374	14	equilibrium	equilibrium	NOUN
cana-810	374	15	stabilities	stability	NOUN
cana-810	374	16	are	be	AUX
cana-810	374	17	analyzed	analyze	VERB
cana-810	374	18	for	for	ADP
cana-810	374	19	the	the	DET
cana-810	374	20	purpose	purpose	NOUN
cana-810	374	21	of	of	ADP
cana-810	374	22	qualitative	qualitative	ADJ
cana-810	374	23	analysis	analysis	NOUN
cana-810	374	24	.	.	PUNCT
cana-810	375	1	the	the	DET
cana-810	375	2	basic	basic	ADJ
cana-810	375	3	reproduction	reproduction	NOUN
cana-810	375	4	numberr0	numberr0	NOUN
cana-810	375	5	is	be	AUX
cana-810	375	6	derived	derive	VERB
cana-810	375	7	and	and	CCONJ
cana-810	375	8	it	it	PRON
cana-810	375	9	is	be	AUX
cana-810	375	10	observed	observe	VERB
cana-810	375	11	that	that	SCONJ
cana-810	375	12	if	if	SCONJ
cana-810	375	13	r0	r0	NOUN
cana-810	375	14	<	<	X
cana-810	375	15	1	1	NUM
cana-810	375	16	the	the	DET
cana-810	375	17	dfe	dfe	PROPN
cana-810	375	18	is	be	AUX
cana-810	375	19	locally	locally	ADV
cana-810	375	20	asymptotically	asymptotically	ADV
cana-810	375	21	stable	stable	ADJ
cana-810	375	22	.	.	PUNCT
cana-810	376	1	the	the	DET
cana-810	376	2	tb	tb	NOUN
cana-810	376	3	infectious	infectious	ADJ
cana-810	376	4	at	at	ADP
cana-810	376	5	hospital	hospital	NOUN
cana-810	376	6	i1and	i1and	ADV
cana-810	376	7	tb	tb	ADP
cana-810	376	8	infectious	infectious	ADJ
cana-810	376	9	at	at	ADP
cana-810	376	10	publici2stage	publici2stage	NOUN
cana-810	376	11	of	of	ADP
cana-810	376	12	the	the	DET
cana-810	376	13	people	people	NOUN
cana-810	376	14	controlled	control	VERB
cana-810	376	15	and	and	CCONJ
cana-810	376	16	stable	stable	ADJ
cana-810	376	17	from	from	ADP
cana-810	376	18	the	the	DET
cana-810	376	19	infection	infection	NOUN
cana-810	376	20	of	of	ADP
cana-810	376	21	the	the	DET
cana-810	376	22	tbdisease	tbdisease	NOUN
cana-810	376	23	.	.	PUNCT
cana-810	377	1	the	the	DET
cana-810	377	2	simulated	simulate	VERB
cana-810	377	3	version	version	NOUN
cana-810	377	4	of	of	ADP
cana-810	377	5	the	the	DET
cana-810	377	6	mathematical	mathematical	ADJ
cana-810	377	7	framework	framework	NOUN
cana-810	377	8	that	that	PRON
cana-810	377	9	is	be	AUX
cana-810	377	10	attached	attach	VERB
cana-810	377	11	here	here	ADV
cana-810	377	12	,	,	PUNCT
cana-810	377	13	the	the	DET
cana-810	377	14	analytical	analytical	ADJ
cana-810	377	15	results	result	NOUN
cana-810	377	16	and	and	CCONJ
cana-810	377	17	demonstrates	demonstrate	VERB
cana-810	377	18	how	how	SCONJ
cana-810	377	19	population	population	NOUN
cana-810	377	20	density	density	NOUN
cana-810	377	21	affects	affect	VERB
cana-810	377	22	the	the	DET
cana-810	377	23	prevalence	prevalence	NOUN
cana-810	377	24	of	of	ADP
cana-810	377	25	tuberculosis	tuberculosis	NOUN
cana-810	377	26	.	.	PUNCT
cana-810	378	1	a	a	DET
cana-810	378	2	mathematical	mathematical	ADJ
cana-810	378	3	model	model	NOUN
cana-810	378	4	clearly	clearly	ADV
cana-810	378	5	demonstrates	demonstrate	VERB
cana-810	378	6	the	the	DET
cana-810	378	7	consequences	consequence	NOUN
cana-810	378	8	of	of	ADP
cana-810	378	9	latent	latent	NOUN
cana-810	378	10	periods	period	NOUN
cana-810	378	11	(	(	PUNCT
cana-810	378	12	e1	e1	NOUN
cana-810	378	13	and	and	CCONJ
cana-810	378	14	e2	e2	PROPN
cana-810	378	15	)	)	PUNCT
cana-810	378	16	on	on	ADP
cana-810	378	17	the	the	DET
cana-810	378	18	number	number	NOUN
cana-810	378	19	of	of	ADP
cana-810	378	20	people	people	NOUN
cana-810	378	21	and	and	CCONJ
cana-810	378	22	it	it	PRON
cana-810	378	23	can	can	AUX
cana-810	378	24	be	be	AUX
cana-810	378	25	seen	see	VERB
cana-810	378	26	that	that	SCONJ
cana-810	378	27	the	the	DET
cana-810	378	28	number	number	NOUN
cana-810	378	29	of	of	ADP
cana-810	378	30	residents	resident	NOUN
cana-810	378	31	decreases	decrease	VERB
cana-810	378	32	or	or	CCONJ
cana-810	378	33	the	the	DET
cana-810	378	34	size	size	NOUN
cana-810	378	35	of	of	ADP
cana-810	378	36	the	the	DET
cana-810	378	37	occupied	occupy	VERB
cana-810	378	38	area	area	NOUN
cana-810	378	39	increases	increase	NOUN
cana-810	378	40	,	,	PUNCT
cana-810	378	41	the	the	DET
cana-810	378	42	emission	emission	NOUN
cana-810	378	43	rate	rate	NOUN
cana-810	378	44	of	of	ADP
cana-810	378	45	the	the	DET
cana-810	378	46	epidemic	epidemic	NOUN
cana-810	378	47	from	from	ADP
cana-810	378	48	latent	latent	NOUN
cana-810	378	49	classes	class	NOUN
cana-810	378	50	(	(	PUNCT
cana-810	378	51	short	short	ADJ
cana-810	378	52	and	and	CCONJ
cana-810	378	53	long	long	ADJ
cana-810	378	54	)	)	PUNCT
cana-810	378	55	to	to	PART
cana-810	378	56	infectiousclass	infectiousclass	NOUN
cana-810	378	57	declines	decline	NOUN
cana-810	378	58	.	.	PUNCT
cana-810	379	1	we	we	PRON
cana-810	379	2	used	use	VERB
cana-810	379	3	lyapunov	lyapunov	NOUN
cana-810	379	4	function	function	VERB
cana-810	379	5	stability	stability	NOUN
cana-810	379	6	to	to	PART
cana-810	379	7	find	find	VERB
cana-810	379	8	out	out	ADP
cana-810	379	9	the	the	DET
cana-810	379	10	global	global	ADJ
cana-810	379	11	stability	stability	NOUN
cana-810	379	12	of	of	ADP
cana-810	379	13	endemic	endemic	ADJ
cana-810	379	14	equilibrium	equilibrium	NOUN
cana-810	379	15	.	.	PUNCT
cana-810	380	1	in	in	ADP
cana-810	380	2	summary	summary	NOUN
cana-810	380	3	,	,	PUNCT
cana-810	380	4	the	the	DET
cana-810	380	5	increase	increase	NOUN
cana-810	380	6	of	of	ADP
cana-810	380	7	population	population	NOUN
cana-810	380	8	density	density	NOUN
cana-810	380	9	will	will	AUX
cana-810	380	10	raise	raise	VERB
cana-810	380	11	the	the	DET
cana-810	380	12	possibility	possibility	NOUN
cana-810	380	13	of	of	ADP
cana-810	380	14	an	an	DET
cana-810	380	15	unstable	unstable	ADJ
cana-810	380	16	disease	disease	NOUN
cana-810	380	17	-	-	PUNCT
cana-810	380	18	free	free	ADJ
cana-810	380	19	equilibrium	equilibrium	NOUN
cana-810	380	20	.	.	PUNCT
cana-810	381	1	these	these	DET
cana-810	381	2	results	result	NOUN
cana-810	381	3	show	show	VERB
cana-810	381	4	that	that	SCONJ
cana-810	381	5	thetuberculosis	thetuberculosis	NOUN
cana-810	381	6	infection	infection	NOUN
cana-810	381	7	is	be	AUX
cana-810	381	8	decreased	decrease	VERB
cana-810	381	9	.	.	PUNCT
cana-810	382	1	this	this	PRON
cana-810	382	2	can	can	AUX
cana-810	382	3	be	be	AUX
cana-810	382	4	accomplished	accomplish	VERB
cana-810	382	5	by	by	ADP
cana-810	382	6	either	either	CCONJ
cana-810	382	7	reducing	reduce	VERB
cana-810	382	8	the	the	DET
cana-810	382	9	amount	amount	NOUN
cana-810	382	10	of	of	ADP
cana-810	382	11	overpopulation	overpopulation	NOUN
cana-810	382	12	or	or	CCONJ
cana-810	382	13	growing	grow	VERB
cana-810	382	14	the	the	DET
cana-810	382	15	area	area	NOUN
cana-810	382	16	in	in	ADP
cana-810	382	17	which	which	PRON
cana-810	382	18	the	the	DET
cana-810	382	19	population	population	NOUN
cana-810	382	20	lives	live	VERB
cana-810	382	21	.	.	PUNCT
cana-810	383	1	all	all	DET
cana-810	383	2	the	the	DET
cana-810	383	3	stages	stage	NOUN
cana-810	383	4	of	of	ADP
cana-810	383	5	the	the	DET
cana-810	383	6	population	population	NOUN
cana-810	383	7	are	be	AUX
cana-810	383	8	controlled	control	VERB
cana-810	383	9	and	and	CCONJ
cana-810	383	10	stable.the	stable.the	DET
cana-810	383	11	process	process	NOUN
cana-810	383	12	of	of	ADP
cana-810	383	13	analysing	analyse	VERB
cana-810	383	14	and	and	CCONJ
cana-810	383	15	assessing	assess	VERB
cana-810	383	16	each	each	DET
cana-810	383	17	stage	stage	NOUN
cana-810	383	18	of	of	ADP
cana-810	383	19	the	the	DET
cana-810	383	20	patient	patient	NOUN
cana-810	383	21	's	's	PART
cana-810	383	22	case	case	NOUN
cana-810	383	23	study	study	NOUN
cana-810	383	24	is	be	AUX
cana-810	383	25	included	include	VERB
cana-810	383	26	in	in	ADP
cana-810	383	27	the	the	DET
cana-810	383	28	interpretation	interpretation	NOUN
cana-810	383	29	of	of	ADP
cana-810	383	30	suggested	suggest	VERB
cana-810	383	31	controls	control	NOUN
cana-810	383	32	.	.	PUNCT
cana-810	384	1	this	this	PRON
cana-810	384	2	helps	help	VERB
cana-810	384	3	to	to	PART
cana-810	384	4	rectify	rectify	VERB
cana-810	384	5	the	the	DET
cana-810	384	6	earlier	early	ADJ
cana-810	384	7	stages	stage	NOUN
cana-810	384	8	of	of	ADP
cana-810	384	9	the	the	DET
cana-810	384	10	disease	disease	NOUN
cana-810	384	11	's	's	PART
cana-810	384	12	evaluation	evaluation	NOUN
cana-810	384	13	and	and	CCONJ
cana-810	384	14	supports	support	VERB
cana-810	384	15	the	the	DET
cana-810	384	16	corrective	corrective	ADJ
cana-810	384	17	actions	action	NOUN
cana-810	384	18	of	of	ADP
cana-810	384	19	the	the	DET
cana-810	384	20	disease	disease	NOUN
cana-810	384	21	-	-	PUNCT
cana-810	384	22	controlled	control	VERB
cana-810	384	23	system	system	NOUN
cana-810	384	24	.	.	PUNCT
cana-810	385	1	the	the	DET
cana-810	385	2	process	process	NOUN
cana-810	385	3	of	of	ADP
cana-810	385	4	interpreting	interpret	VERB
cana-810	385	5	proposed	propose	VERB
cana-810	385	6	controls	control	NOUN
cana-810	385	7	encompasses	encompass	VERB
cana-810	385	8	keeping	keep	VERB
cana-810	385	9	track	track	NOUN
cana-810	385	10	of	of	ADP
cana-810	385	11	and	and	CCONJ
cana-810	385	12	evaluating	evaluate	VERB
cana-810	385	13	each	each	DET
cana-810	385	14	level	level	NOUN
cana-810	385	15	of	of	ADP
cana-810	385	16	the	the	DET
cana-810	385	17	patient	patient	NOUN
cana-810	385	18	's	's	PART
cana-810	385	19	case	case	NOUN
cana-810	385	20	study	study	NOUN
cana-810	385	21	.	.	PUNCT
cana-810	386	1	this	this	DET
cana-810	386	2	aids	aid	NOUN
cana-810	386	3	in	in	ADP
cana-810	386	4	the	the	DET
cana-810	386	5	disease	disease	NOUN
cana-810	386	6	-	-	PUNCT
cana-810	386	7	controlled	control	VERB
cana-810	386	8	system	system	NOUN
cana-810	386	9	's	's	PART
cana-810	386	10	corrective	corrective	ADJ
cana-810	386	11	actions	action	NOUN
cana-810	386	12	and	and	CCONJ
cana-810	386	13	helps	help	VERB
cana-810	386	14	to	to	PART
cana-810	386	15	correct	correct	VERB
cana-810	386	16	the	the	DET
cana-810	386	17	earlier	early	ADJ
cana-810	386	18	stages	stage	NOUN
cana-810	386	19	of	of	ADP
cana-810	386	20	the	the	DET
cana-810	386	21	disease	disease	NOUN
cana-810	386	22	's	's	PART
cana-810	386	23	evaluation	evaluation	NOUN
cana-810	386	24	.	.	PUNCT
cana-810	387	1	despite	despite	SCONJ
cana-810	387	2	previous	previous	ADJ
cana-810	387	3	experience	experience	NOUN
cana-810	387	4	being	be	AUX
cana-810	387	5	under	under	ADP
cana-810	387	6	control	control	NOUN
cana-810	387	7	,	,	PUNCT
cana-810	387	8	effective	effective	ADJ
cana-810	387	9	control	control	NOUN
cana-810	387	10	is	be	AUX
cana-810	387	11	impossible	impossible	ADJ
cana-810	387	12	.	.	PUNCT
cana-810	388	1	to	to	PART
cana-810	388	2	enable	enable	VERB
cana-810	388	3	follow	follow	VERB
cana-810	388	4	-	-	PUNCT
cana-810	388	5	up	up	NOUN
cana-810	388	6	when	when	SCONJ
cana-810	388	7	needed	need	VERB
cana-810	388	8	,	,	PUNCT
cana-810	388	9	control	control	NOUN
cana-810	388	10	constantly	constantly	ADV
cana-810	388	11	looks	look	VERB
cana-810	388	12	to	to	ADP
cana-810	388	13	the	the	DET
cana-810	388	14	future	future	NOUN
cana-810	388	15	.	.	PUNCT
cana-810	389	1	to	to	PART
cana-810	389	2	maintain	maintain	VERB
cana-810	389	3	control	control	NOUN
cana-810	389	4	,	,	PUNCT
cana-810	389	5	revival	revival	NOUN
cana-810	389	6	approaches	approach	NOUN
cana-810	389	7	must	must	AUX
cana-810	389	8	be	be	AUX
cana-810	389	9	used	use	VERB
cana-810	389	10	,	,	PUNCT
cana-810	389	11	and	and	CCONJ
cana-810	389	12	changes	change	NOUN
cana-810	389	13	must	must	AUX
cana-810	389	14	be	be	AUX
cana-810	389	15	made	make	VERB
cana-810	389	16	wherever	wherever	SCONJ
cana-810	389	17	feasible	feasible	ADJ
cana-810	389	18	.	.	PUNCT
cana-810	390	1	it	it	PRON
cana-810	390	2	is	be	AUX
cana-810	390	3	a	a	DET
cana-810	390	4	dynamic	dynamic	ADJ
cana-810	390	5	function	function	NOUN
cana-810	390	6	because	because	SCONJ
cana-810	390	7	constant	constant	ADJ
cana-810	390	8	control	control	NOUN
cana-810	390	9	must	must	AUX
cana-810	390	10	be	be	AUX
cana-810	390	11	the	the	DET
cana-810	390	12	primary	primary	ADJ
cana-810	390	13	objective	objective	NOUN
cana-810	390	14	.	.	PUNCT
cana-810	391	1	in	in	ADP
cana-810	391	2	the	the	DET
cana-810	391	3	current	current	ADJ
cana-810	391	4	state	state	NOUN
cana-810	391	5	of	of	ADP
cana-810	391	6	research	research	NOUN
cana-810	391	7	,	,	PUNCT
cana-810	391	8	tb	tb	ADP
cana-810	391	9	disease	disease	NOUN
cana-810	391	10	is	be	AUX
cana-810	391	11	theoretically	theoretically	ADV
cana-810	391	12	managed	manage	VERB
cana-810	391	13	through	through	ADP
cana-810	391	14	the	the	DET
cana-810	391	15	use	use	NOUN
cana-810	391	16	of	of	ADP
cana-810	391	17	mathematical	mathematical	ADJ
cana-810	391	18	models	model	NOUN
cana-810	391	19	.	.	PUNCT
cana-810	392	1	we	we	PRON
cana-810	392	2	can	can	AUX
cana-810	392	3	practically	practically	ADV
cana-810	392	4	control	control	VERB
cana-810	392	5	the	the	DET
cana-810	392	6	tuberculosis	tuberculosis	NOUN
cana-810	392	7	disease	disease	NOUN
cana-810	392	8	after	after	ADP
cana-810	392	9	some	some	DET
cana-810	392	10	medical	medical	ADJ
cana-810	392	11	case	case	NOUN
cana-810	392	12	studies	study	NOUN
cana-810	392	13	,	,	PUNCT
cana-810	392	14	depending	depend	VERB
cana-810	392	15	on	on	ADP
cana-810	392	16	the	the	DET
cana-810	392	17	stage	stage	NOUN
cana-810	392	18	of	of	ADP
cana-810	392	19	the	the	DET
cana-810	392	20	patient	patient	NOUN
cana-810	392	21	.	.	PUNCT
cana-810	393	1	in	in	ADP
cana-810	393	2	future	future	NOUN
cana-810	393	3	we	we	PRON
cana-810	393	4	plan	plan	VERB
cana-810	393	5	to	to	PART
cana-810	393	6	work	work	VERB
cana-810	393	7	on	on	ADP
cana-810	393	8	developing	develop	VERB
cana-810	393	9	drugs	drug	NOUN
cana-810	393	10	resistant	resistant	ADJ
cana-810	393	11	to	to	ADP
cana-810	393	12	chemotherapy	chemotherapy	NOUN
cana-810	393	13	,	,	PUNCT
cana-810	393	14	it	it	PRON
cana-810	393	15	helps	help	VERB
cana-810	393	16	to	to	PART
cana-810	393	17	control	control	VERB
cana-810	393	18	the	the	DET
cana-810	393	19	infection	infection	NOUN
cana-810	393	20	among	among	ADP
cana-810	393	21	population	population	NOUN
cana-810	393	22	.	.	PUNCT
cana-810	394	1	author	author	NOUN
cana-810	394	2	declarations	declaration	VERB
cana-810	394	3	conflict	conflict	NOUN
cana-810	394	4	of	of	ADP
cana-810	394	5	interest	interest	NOUN
cana-810	394	6	the	the	DET
cana-810	394	7	authors	author	NOUN
cana-810	394	8	have	have	VERB
cana-810	394	9	no	no	DET
cana-810	394	10	conflicts	conflict	NOUN
cana-810	394	11	to	to	PART
cana-810	394	12	disclose	disclose	VERB
cana-810	394	13	.	.	PUNCT
cana-810	395	1	author	author	NOUN
cana-810	395	2	contributions	contribution	VERB
cana-810	395	3	the	the	DET
cana-810	395	4	authors	author	NOUN
cana-810	395	5	have	have	VERB
cana-810	395	6	equal	equal	ADJ
cana-810	395	7	contributions	contribution	NOUN
cana-810	395	8	.	.	PUNCT
cana-810	396	1	all	all	DET
cana-810	396	2	authors	author	NOUN
cana-810	396	3	drafted	draft	VERB
cana-810	396	4	thepaper	thepaper	NOUN
cana-810	396	5	,	,	PUNCT
cana-810	396	6	perused	peruse	VERB
cana-810	396	7	it	it	PRON
cana-810	396	8	,	,	PUNCT
cana-810	396	9	and	and	CCONJ
cana-810	396	10	supported	support	VERB
cana-810	396	11	the	the	DET
cana-810	396	12	last	last	ADJ
cana-810	396	13	rendition	rendition	NOUN
cana-810	396	14	of	of	ADP
cana-810	396	15	it.naresh	it.naresh	PROPN
cana-810	396	16	kumar	kumar	PROPN
cana-810	396	17	jothi	jothi	PROPN
cana-810	396	18	:	:	PUNCT
cana-810	396	19	conceptualization	conceptualization	NOUN
cana-810	396	20	(	(	PUNCT
cana-810	396	21	equal	equal	ADJ
cana-810	396	22	)	)	PUNCT
cana-810	396	23	;	;	PUNCT
cana-810	396	24	methodology(equal	methodology(equal	PROPN
cana-810	396	25	)	)	PUNCT
cana-810	396	26	;	;	PUNCT
cana-810	396	27	validation	validation	NOUN
cana-810	396	28	(	(	PUNCT
cana-810	396	29	equal	equal	ADJ
cana-810	396	30	)	)	PUNCT
cana-810	396	31	;	;	PUNCT
cana-810	396	32	visualization	visualization	NOUN
cana-810	396	33	(	(	PUNCT
cana-810	396	34	equal	equal	ADJ
cana-810	396	35	)	)	PUNCT
cana-810	396	36	;	;	PUNCT
cana-810	396	37	writing	write	VERB
cana-810	396	38	–	–	PUNCT
cana-810	396	39	originaldraft	originaldraft	NOUN
cana-810	396	40	(	(	PUNCT
cana-810	396	41	equal	equal	ADJ
cana-810	396	42	)	)	PUNCT
cana-810	396	43	;	;	PUNCT
cana-810	396	44	writing	write	VERB
cana-810	396	45	–	–	PUNCT
cana-810	396	46	review	review	NOUN
cana-810	396	47	&	&	CCONJ
cana-810	396	48	editing	edit	VERB
cana-810	396	49	(	(	PUNCT
cana-810	396	50	equal	equal	ADJ
cana-810	396	51	)	)	PUNCT
cana-810	396	52	.	.	PUNCT
cana-810	397	1	communications	communication	NOUN
cana-810	397	2	on	on	ADP
cana-810	397	3	applied	apply	VERB
cana-810	397	4	nonlinear	nonlinear	ADJ
cana-810	397	5	analysis	analysis	NOUN
cana-810	397	6	issn	issn	NOUN
cana-810	397	7	:	:	PUNCT
cana-810	397	8	1074	1074	NUM
cana-810	397	9	-	-	PUNCT
cana-810	397	10	133x	133x	NUM
cana-810	397	11	vol	vol	NOUN
cana-810	397	12	31	31	NUM
cana-810	397	13	no	no	NOUN
cana-810	397	14	.	.	PUNCT
cana-810	398	1	3s	3s	NUM
cana-810	398	2	(	(	PUNCT
cana-810	398	3	2024	2024	NUM
cana-810	398	4	)	)	PUNCT
cana-810	398	5	577	577	NUM
cana-810	398	6	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	398	7	m	m	NOUN
cana-810	398	8	lakshmi	lakshmi	NOUN
cana-810	398	9	.	.	PUNCT
cana-810	399	1	a	a	DET
cana-810	399	2	:	:	PUNCT
cana-810	399	3	conceptualization	conceptualization	NOUN
cana-810	399	4	(	(	PUNCT
cana-810	399	5	equal	equal	ADJ
cana-810	399	6	)	)	PUNCT
cana-810	399	7	;	;	PUNCT
cana-810	399	8	data	datum	NOUN
cana-810	399	9	curation	curation	NOUN
cana-810	399	10	(	(	PUNCT
cana-810	399	11	equal	equal	ADJ
cana-810	399	12	)	)	PUNCT
cana-810	399	13	;	;	PUNCT
cana-810	399	14	formal	formal	ADJ
cana-810	399	15	analysis(equal	analysis(equal	PROPN
cana-810	399	16	)	)	PUNCT
cana-810	399	17	;	;	PUNCT
cana-810	399	18	funding	funding	NOUN
cana-810	399	19	acquisition	acquisition	NOUN
cana-810	399	20	(	(	PUNCT
cana-810	399	21	equal	equal	ADJ
cana-810	399	22	)	)	PUNCT
cana-810	399	23	;	;	PUNCT
cana-810	399	24	methodology	methodology	NOUN
cana-810	399	25	(	(	PUNCT
cana-810	399	26	equal);writing	equal);write	VERB
cana-810	399	27	–	–	PUNCT
cana-810	399	28	review	review	NOUN
cana-810	399	29	&	&	CCONJ
cana-810	399	30	editing	edit	VERB
cana-810	399	31	(	(	PUNCT
cana-810	399	32	equal	equal	ADJ
cana-810	399	33	)	)	PUNCT
cana-810	399	34	.	.	PUNCT
cana-810	400	1	jayant	jayant	PROPN
cana-810	400	2	giri	giri	PROPN
cana-810	400	3	:	:	PUNCT
cana-810	400	4	conceptualization	conceptualization	NOUN
cana-810	400	5	(	(	PUNCT
cana-810	400	6	equal	equal	ADJ
cana-810	400	7	)	)	PUNCT
cana-810	400	8	;	;	PUNCT
cana-810	400	9	data	datum	NOUN
cana-810	400	10	curation	curation	NOUN
cana-810	400	11	(	(	PUNCT
cana-810	400	12	equal	equal	ADJ
cana-810	400	13	)	)	PUNCT
cana-810	400	14	;	;	PUNCT
cana-810	400	15	formal	formal	ADJ
cana-810	400	16	analysis(equal	analysis(equal	PROPN
cana-810	400	17	)	)	PUNCT
cana-810	400	18	;	;	PUNCT
cana-810	400	19	investigation	investigation	NOUN
cana-810	400	20	(	(	PUNCT
cana-810	400	21	equal	equal	ADJ
cana-810	400	22	)	)	PUNCT
cana-810	400	23	;	;	PUNCT
cana-810	400	24	methodology	methodology	NOUN
cana-810	400	25	(	(	PUNCT
cana-810	400	26	equal	equal	ADJ
cana-810	400	27	)	)	PUNCT
cana-810	400	28	;	;	PUNCT
cana-810	400	29	writing	write	VERB
cana-810	400	30	–	–	PUNCT
cana-810	400	31	review	review	NOUN
cana-810	400	32	&	&	CCONJ
cana-810	400	33	editing	edit	VERB
cana-810	400	34	(	(	PUNCT
cana-810	400	35	equal	equal	ADJ
cana-810	400	36	)	)	PUNCT
cana-810	400	37	.	.	PUNCT
cana-810	401	1	t.	t.	PROPN
cana-810	401	2	sathish	sathish	PROPN
cana-810	401	3	:	:	PUNCT
cana-810	401	4	conceptualization	conceptualization	NOUN
cana-810	401	5	(	(	PUNCT
cana-810	401	6	equal);data	equal);data	ADJ
cana-810	401	7	curation	curation	NOUN
cana-810	401	8	(	(	PUNCT
cana-810	401	9	equal	equal	ADJ
cana-810	401	10	)	)	PUNCT
cana-810	401	11	;	;	PUNCT
cana-810	401	12	formal	formal	ADJ
cana-810	401	13	analysis	analysis	NOUN
cana-810	401	14	(	(	PUNCT
cana-810	401	15	equal	equal	ADJ
cana-810	401	16	)	)	PUNCT
cana-810	401	17	;	;	PUNCT
cana-810	401	18	funding	fund	VERB
cana-810	401	19	acquisition(equal	acquisition(equal	PROPN
cana-810	401	20	)	)	PUNCT
cana-810	401	21	;	;	PUNCT
cana-810	401	22	investigation	investigation	NOUN
cana-810	401	23	(	(	PUNCT
cana-810	401	24	equal	equal	ADJ
cana-810	401	25	)	)	PUNCT
cana-810	401	26	;	;	PUNCT
cana-810	401	27	methodology	methodology	NOUN
cana-810	401	28	(	(	PUNCT
cana-810	401	29	equal	equal	ADJ
cana-810	401	30	)	)	PUNCT
cana-810	401	31	.	.	PUNCT
cana-810	402	1	data	datum	NOUN
cana-810	402	2	availability	availability	NOUN
cana-810	402	3	the	the	DET
cana-810	402	4	data	datum	NOUN
cana-810	402	5	that	that	PRON
cana-810	402	6	support	support	VERB
cana-810	402	7	the	the	DET
cana-810	402	8	findings	finding	NOUN
cana-810	402	9	of	of	ADP
cana-810	402	10	this	this	DET
cana-810	402	11	study	study	NOUN
cana-810	402	12	are	be	AUX
cana-810	402	13	available	available	ADJ
cana-810	402	14	within	within	ADP
cana-810	402	15	the	the	DET
cana-810	402	16	article	article	NOUN
cana-810	402	17	.	.	PUNCT
cana-810	403	1	reference	reference	NOUN
cana-810	403	2	[	[	X
cana-810	403	3	1	1	NUM
cana-810	403	4	]	]	PUNCT
cana-810	403	5	a.ssematimba	a.ssematimba	NOUN
cana-810	403	6	,	,	PUNCT
cana-810	403	7	j.	j.	PROPN
cana-810	403	8	y.	y.	PROPN
cana-810	403	9	t.	t.	PROPN
cana-810	403	10	mugisha	mugisha	PROPN
cana-810	403	11	,	,	PUNCT
cana-810	403	12	and	and	CCONJ
cana-810	403	13	l.	l.	PROPN
cana-810	403	14	s.	s.	PROPN
cana-810	403	15	luboobi	luboobi	PROPN
cana-810	403	16	,	,	PUNCT
cana-810	403	17	“	"	PUNCT
cana-810	403	18	mathematical	mathematical	ADJ
cana-810	403	19	models	model	NOUN
cana-810	403	20	for	for	ADP
cana-810	403	21	the	the	DET
cana-810	403	22	dynamics	dynamic	NOUN
cana-810	403	23	oftuberculosis	oftuberculosis	NOUN
cana-810	403	24	indensity	indensity	NOUN
cana-810	403	25	independent	independent	ADJ
cana-810	403	26	populations	population	NOUN
cana-810	403	27	:	:	PUNCT
cana-810	403	28	the	the	DET
cana-810	403	29	case	case	NOUN
cana-810	403	30	of	of	ADP
cana-810	403	31	internally	internally	ADV
cana-810	403	32	displaced	displace	VERB
cana-810	403	33	people	people	NOUN
cana-810	403	34	’s	’s	PART
cana-810	403	35	camps	camp	NOUN
cana-810	403	36	(	(	PUNCT
cana-810	403	37	idpcs	idpc	NOUN
cana-810	403	38	)	)	PUNCT
cana-810	403	39	inuganda	inuganda	PROPN
cana-810	403	40	,	,	PUNCT
cana-810	403	41	”	"	PUNCT
cana-810	403	42	journal	journal	NOUN
cana-810	403	43	of	of	ADP
cana-810	403	44	mathematics	mathematics	PROPN
cana-810	403	45	&	&	CCONJ
cana-810	403	46	statistics.1(3	statistics.1(3	PROPN
cana-810	403	47	)	)	PUNCT
cana-810	403	48	,	,	PUNCT
cana-810	403	49	217224	217224	NUM
cana-810	403	50	2005	2005	NUM
cana-810	403	51	.	.	PUNCT
cana-810	404	1	[	[	X
cana-810	404	2	2	2	NUM
cana-810	404	3	]	]	PUNCT
cana-810	404	4	m.	m.	NOUN
cana-810	404	5	blower	blower	NOUN
cana-810	404	6	and	and	CCONJ
cana-810	404	7	j.	j.	PROPN
cana-810	404	8	l.	l.	PROPN
cana-810	404	9	gerberding	gerberding	PROPN
cana-810	404	10	,	,	PUNCT
cana-810	404	11	“	"	PUNCT
cana-810	404	12	understanding	understanding	NOUN
cana-810	404	13	predicting	predict	VERB
cana-810	404	14	and	and	CCONJ
cana-810	404	15	controlling	control	VERB
cana-810	404	16	the	the	DET
cana-810	404	17	emergence	emergence	NOUN
cana-810	404	18	of	of	ADP
cana-810	404	19	drug	drug	NOUN
cana-810	404	20	resistant	resistant	ADJ
cana-810	404	21	tuberculosis	tuberculosis	NOUN
cana-810	404	22	,	,	PUNCT
cana-810	404	23	a	a	DET
cana-810	404	24	theoretical	theoretical	ADJ
cana-810	404	25	framework	framework	NOUN
cana-810	404	26	,	,	PUNCT
cana-810	404	27	”	"	PUNCT
cana-810	404	28	mol	mol	PROPN
cana-810	404	29	.	.	PROPN
cana-810	404	30	med	med	PROPN
cana-810	404	31	.	.	PUNCT
cana-810	405	1	76(9	76(9	NUM
cana-810	405	2	)	)	PUNCT
cana-810	405	3	,	,	PUNCT
cana-810	405	4	624	624	NUM
cana-810	405	5	-	-	SYM
cana-810	405	6	6361998	6361998	NUM
cana-810	405	7	.	.	PUNCT
cana-810	406	1	[	[	X
cana-810	406	2	3	3	X
cana-810	406	3	]	]	X
cana-810	406	4	zw	zw	PROPN
cana-810	406	5	.	.	PUNCT
cana-810	406	6	jia	jia	PROPN
cana-810	406	7	,	,	PUNCT
cana-810	406	8	gy	gy	PROPN
cana-810	406	9	.	.	PROPN
cana-810	406	10	tang	tang	PROPN
cana-810	406	11	,	,	PUNCT
cana-810	406	12	z.	z.	PROPN
cana-810	406	13	jin	jin	PROPN
cana-810	406	14	,	,	PUNCT
cana-810	406	15	c.	c.	PROPN
cana-810	406	16	dye	dye	PROPN
cana-810	406	17	,	,	PUNCT
cana-810	406	18	“	"	PUNCT
cana-810	406	19	vlas	vlas	PROPN
cana-810	406	20	sj	sj	PROPN
cana-810	406	21	,	,	PUNCT
cana-810	406	22	li	li	PROPN
cana-810	406	23	xw	xw	PROPN
cana-810	406	24	,	,	PUNCT
cana-810	406	25	et	et	PROPN
cana-810	406	26	al	al	PROPN
cana-810	406	27	.	.	PUNCT
cana-810	407	1	“	"	PUNCT
cana-810	407	2	modeling	model	VERB
cana-810	407	3	the	the	DET
cana-810	407	4	impact	impact	NOUN
cana-810	407	5	of	of	ADP
cana-810	407	6	immigration	immigration	NOUN
cana-810	407	7	on	on	ADP
cana-810	407	8	the	the	DET
cana-810	407	9	epidemiology	epidemiology	NOUN
cana-810	407	10	of	of	ADP
cana-810	407	11	tuberculosis	tuberculosis	NOUN
cana-810	407	12	,	,	PUNCT
cana-810	407	13	”	"	PUNCT
cana-810	407	14	theor	theor	PROPN
cana-810	407	15	popul	popul	PROPN
cana-810	407	16	biol.73(3	biol.73(3	PROPN
cana-810	407	17	)	)	PUNCT
cana-810	407	18	,	,	PUNCT
cana-810	407	19	437	437	NUM
cana-810	407	20	-	-	SYM
cana-810	407	21	482008	482008	NUM
cana-810	407	22	.	.	PUNCT
cana-810	408	1	[	[	X
cana-810	408	2	4	4	X
cana-810	408	3	]	]	X
cana-810	408	4	c.	c.	PROPN
cana-810	408	5	castillo	castillo	PROPN
cana-810	408	6	-	-	PUNCT
cana-810	408	7	chavez	chavez	PROPN
cana-810	408	8	,	,	PUNCT
cana-810	408	9	b.	b.	PROPN
cana-810	408	10	song	song	PROPN
cana-810	408	11	,	,	PUNCT
cana-810	408	12	“	"	PUNCT
cana-810	408	13	dynamical	dynamical	ADJ
cana-810	408	14	models	model	NOUN
cana-810	408	15	of	of	ADP
cana-810	408	16	tuberculosis	tuberculosis	NOUN
cana-810	408	17	and	and	CCONJ
cana-810	408	18	their	their	PRON
cana-810	408	19	applications	application	NOUN
cana-810	408	20	,	,	PUNCT
cana-810	408	21	”	"	PUNCT
cana-810	408	22	math	math	NOUN
cana-810	408	23	bio	bio	PROPN
cana-810	408	24	sci	sci	PROPN
cana-810	408	25	eng.1(2),361	eng.1(2),361	PROPN
cana-810	408	26	-	-	PUNCT
cana-810	408	27	404	404	NUM
cana-810	408	28	2004	2004	NUM
cana-810	408	29	.	.	PUNCT
cana-810	409	1	[	[	X
cana-810	409	2	5	5	X
cana-810	409	3	]	]	PUNCT
cana-810	409	4	d.	d.	PROPN
cana-810	409	5	paul	paul	PROPN
cana-810	409	6	,	,	PUNCT
cana-810	409	7	pd	pd	PROPN
cana-810	409	8	.	.	PROPN
cana-810	409	9	van	van	PROPN
cana-810	409	10	helden	helden	PROPN
cana-810	409	11	,	,	PUNCT
cana-810	409	12	pr	pr	PROPN
cana-810	409	13	.	.	PUNCT
cana-810	410	1	donald	donald	PROPN
cana-810	410	2	,	,	PUNCT
cana-810	410	3	tc	tc	PROPN
cana-810	410	4	.	.	PROPN
cana-810	410	5	victor	victor	PROPN
cana-810	410	6	,	,	PUNCT
cana-810	410	7	hs	hs	PROPN
cana-810	410	8	.	.	PROPN
cana-810	410	9	schaaf	schaaf	PROPN
cana-810	410	10	,	,	PUNCT
cana-810	410	11	hoal	hoal	PROPN
cana-810	410	12	eg	eg	PROPN
cana-810	410	13	,	,	PUNCT
cana-810	410	14	walzl	walzl	NOUN
cana-810	410	15	g	g	PROPN
cana-810	410	16	,	,	PUNCT
cana-810	410	17	et	et	PROPN
cana-810	410	18	al	al	PROPN
cana-810	410	19	,	,	PUNCT
cana-810	410	20	“	"	PUNCT
cana-810	410	21	anti	anti	ADJ
cana-810	410	22	-	-	ADJ
cana-810	410	23	microbial	microbial	ADJ
cana-810	410	24	resistance	resistance	NOUN
cana-810	410	25	in	in	ADP
cana-810	410	26	tuberculosis	tuberculosis	NOUN
cana-810	410	27	:	:	PUNCT
cana-810	410	28	an	an	DET
cana-810	410	29	international	international	ADJ
cana-810	410	30	perspective	perspective	NOUN
cana-810	410	31	,	,	PUNCT
cana-810	410	32	”	"	PUNCT
cana-810	410	33	expert	expert	NOUN
cana-810	410	34	rev	rev	VERB
cana-810	410	35	anti	anti	ADJ
cana-810	410	36	infect	infect	VERB
cana-810	410	37	ther	ther	ADV
cana-810	410	38	.	.	PUNCT
cana-810	411	1	4	4	NUM
cana-810	411	2	(	(	PUNCT
cana-810	411	3	5),759	5),759	NUM
cana-810	411	4	-	-	SYM
cana-810	411	5	66	66	NUM
cana-810	411	6	2006	2006	NUM
cana-810	411	7	.	.	PUNCT
cana-810	412	1	[	[	X
cana-810	412	2	6	6	NUM
cana-810	412	3	]	]	PUNCT
cana-810	412	4	anatole	anatole	NOUN
cana-810	412	5	temgouay	temgouay	NOUN
cana-810	412	6	,	,	PUNCT
cana-810	412	7	“	"	PUNCT
cana-810	412	8	global	global	ADJ
cana-810	412	9	properties	property	NOUN
cana-810	412	10	of	of	ADP
cana-810	412	11	a	a	DET
cana-810	412	12	tuberculosis	tuberculosis	NOUN
cana-810	412	13	model	model	NOUN
cana-810	412	14	with	with	ADP
cana-810	412	15	lost	lose	VERB
cana-810	412	16	sight	sight	NOUN
cana-810	412	17	and	and	CCONJ
cana-810	412	18	multi	multi	ADJ
cana-810	412	19	-	-	NOUN
cana-810	412	20	compartment	compartment	NOUN
cana-810	412	21	of	of	ADP
cana-810	412	22	latents	latent	NOUN
cana-810	412	23	,	,	PUNCT
cana-810	412	24	”	"	PUNCT
cana-810	412	25	journal	journal	NOUN
cana-810	412	26	of	of	ADP
cana-810	412	27	mathematical	mathematical	ADJ
cana-810	412	28	modeling	modeling	NOUN
cana-810	412	29	.	.	PUNCT
cana-810	413	1	6(1	6(1	NUM
cana-810	413	2	)	)	PUNCT
cana-810	413	3	,	,	PUNCT
cana-810	413	4	47	47	NUM
cana-810	413	5	-	-	SYM
cana-810	413	6	76	76	NUM
cana-810	413	7	2018	2018	NUM
cana-810	413	8	.	.	PUNCT
cana-810	414	1	[	[	X
cana-810	414	2	7	7	X
cana-810	414	3	]	]	X
cana-810	414	4	n.	n.	PROPN
cana-810	414	5	nyerere	nyerere	PROPN
cana-810	414	6	,	,	PUNCT
cana-810	414	7	“	"	PUNCT
cana-810	414	8	modeling	model	VERB
cana-810	414	9	the	the	DET
cana-810	414	10	effect	effect	NOUN
cana-810	414	11	of	of	ADP
cana-810	414	12	screening	screening	NOUN
cana-810	414	13	and	and	CCONJ
cana-810	414	14	treatment	treatment	NOUN
cana-810	414	15	on	on	ADP
cana-810	414	16	the	the	DET
cana-810	414	17	transmission	transmission	NOUN
cana-810	414	18	of	of	ADP
cana-810	414	19	tuberculosis	tuberculosis	NOUN
cana-810	414	20	infections	infection	NOUN
cana-810	414	21	,	,	PUNCT
cana-810	414	22	”	"	PUNCT
cana-810	414	23	mathematical	mathematical	ADJ
cana-810	414	24	theory	theory	NOUN
cana-810	414	25	and	and	CCONJ
cana-810	414	26	modeling.vol	modeling.vol	NOUN
cana-810	414	27	.	.	NOUN
cana-810	414	28	4(7	4(7	NUM
cana-810	414	29	)	)	PUNCT
cana-810	414	30	,	,	PUNCT
cana-810	414	31	2014	2014	NUM
cana-810	414	32	.	.	PUNCT
cana-810	415	1	[	[	X
cana-810	415	2	8	8	NUM
cana-810	415	3	]	]	X
cana-810	415	4	hm	hm	INTJ
cana-810	415	5	.	.	PUNCT
cana-810	415	6	yang	yang	PROPN
cana-810	415	7	,	,	PUNCT
cana-810	415	8	sm	sm	PROPN
cana-810	415	9	.	.	PUNCT
cana-810	415	10	raimundo	raimundo	PROPN
cana-810	415	11	,	,	PUNCT
cana-810	415	12	“	"	PUNCT
cana-810	415	13	assessing	assess	VERB
cana-810	415	14	the	the	DET
cana-810	415	15	effects	effect	NOUN
cana-810	415	16	of	of	ADP
cana-810	415	17	multiple	multiple	ADJ
cana-810	415	18	infections	infection	NOUN
cana-810	415	19	and	and	CCONJ
cana-810	415	20	long	long	ADJ
cana-810	415	21	latency	latency	NOUN
cana-810	415	22	in	in	ADP
cana-810	415	23	the	the	DET
cana-810	415	24	dynamics	dynamic	NOUN
cana-810	415	25	of	of	ADP
cana-810	415	26	tuberculosis	tuberculosis	NOUN
cana-810	415	27	,	,	PUNCT
cana-810	415	28	”	"	PUNCT
cana-810	415	29	.	.	PUNCT
cana-810	416	1	theor	theor	PROPN
cana-810	416	2	biol	biol	PROPN
cana-810	416	3	med	me	VERB
cana-810	416	4	model.7(41	model.7(41	NOUN
cana-810	416	5	)	)	PUNCT
cana-810	416	6	,	,	PUNCT
cana-810	416	7	2010	2010	NUM
cana-810	416	8	.	.	PUNCT
cana-810	417	1	[	[	X
cana-810	417	2	9	9	NUM
cana-810	417	3	]	]	SYM
cana-810	417	4	ma	ma	PROPN
cana-810	417	5	.	.	PROPN
cana-810	417	6	behr	behr	PROPN
cana-810	417	7	,	,	PUNCT
cana-810	417	8	“	"	PUNCT
cana-810	417	9	tuberculosis	tuberculosis	NOUN
cana-810	417	10	due	due	ADJ
cana-810	417	11	to	to	ADP
cana-810	417	12	multiple	multiple	ADJ
cana-810	417	13	strains	strain	NOUN
cana-810	417	14	:	:	PUNCT
cana-810	417	15	a	a	DET
cana-810	417	16	concern	concern	NOUN
cana-810	417	17	for	for	ADP
cana-810	417	18	the	the	DET
cana-810	417	19	patient	patient	NOUN
cana-810	417	20	a	a	DET
cana-810	417	21	concern	concern	NOUN
cana-810	417	22	for	for	ADP
cana-810	417	23	tuberculosis	tuberculosis	NOUN
cana-810	417	24	control	control	NOUN
cana-810	417	25	,	,	PUNCT
cana-810	417	26	”	"	PUNCT
cana-810	417	27	am	be	AUX
cana-810	417	28	j	j	PROPN
cana-810	417	29	respir	respir	NOUN
cana-810	417	30	crit	crit	PROPN
cana-810	417	31	care	care	NOUN
cana-810	417	32	med	me	VERB
cana-810	417	33	.	.	PUNCT
cana-810	418	1	169(5	169(5	NUM
cana-810	418	2	)	)	PUNCT
cana-810	418	3	,	,	PUNCT
cana-810	418	4	554–5552004	554–5552004	NUM
cana-810	418	5	.	.	PUNCT
cana-810	419	1	[	[	X
cana-810	419	2	10	10	NUM
cana-810	419	3	]	]	X
cana-810	419	4	michel	michel	PROPN
cana-810	419	5	kaswa	kaswa	PROPN
cana-810	419	6	kayomo	kayomo	PROPN
cana-810	419	7	,	,	PUNCT
cana-810	419	8	epco	epco	ADJ
cana-810	419	9	hasker	hasker	PROPN
cana-810	419	10	,	,	PUNCT
cana-810	419	11	muriel	muriel	PROPN
cana-810	419	12	aloni	aloni	PROPN
cana-810	419	13	,	,	PUNCT
cana-810	419	14	léontine	léontine	ADJ
cana-810	419	15	nkuku	nkuku	PROPN
cana-810	419	16	,	,	PUNCT
cana-810	419	17	marcel	marcel	PROPN
cana-810	419	18	kazadi	kazadi	PROPN
cana-810	419	19	,	,	PUNCT
cana-810	419	20	thierry	thierry	PROPN
cana-810	419	21	kabengele	kabengele	PROPN
cana-810	419	22	,	,	PUNCT
cana-810	419	23	dorcas	dorcas	PROPN
cana-810	419	24	muteteke	muteteke	PROPN
cana-810	419	25	,	,	PUNCT
cana-810	419	26	françois	françois	PROPN
cana-810	419	27	kapita	kapita	PROPN
cana-810	419	28	,	,	PUNCT
cana-810	419	29	alphonse	alphonse	NOUN
cana-810	419	30	lufulwabo	lufulwabo	PROPN
cana-810	419	31	,	,	PUNCT
cana-810	419	32	ya	ya	PROPN
cana-810	419	33	diul	diul	PROPN
cana-810	419	34	mukadi	mukadi	PROPN
cana-810	419	35	,	,	PUNCT
cana-810	419	36	jean	jean	PROPN
cana-810	419	37	-	-	PUNCT
cana-810	419	38	jacques	jacques	PROPN
cana-810	419	39	muyembe	muyembe	PROPN
cana-810	419	40	-	-	PUNCT
cana-810	419	41	tamfum	tamfum	NOUN
cana-810	419	42	,	,	PUNCT
cana-810	419	43	margareta	margareta	NOUN
cana-810	419	44	ieven	ieven	ADJ
cana-810	419	45	,	,	PUNCT
cana-810	419	46	bouke	bouke	NOUN
cana-810	419	47	c.	c.	PROPN
cana-810	419	48	de	de	PROPN
cana-810	419	49	jong	jong	PROPN
cana-810	419	50	,	,	PUNCT
cana-810	419	51	and	and	CCONJ
cana-810	419	52	marleen	marleen	PROPN
cana-810	419	53	boelaert	boelaert	PROPN
cana-810	419	54	,	,	PUNCT
cana-810	419	55	“	"	PUNCT
cana-810	419	56	outbreak	outbreak	NOUN
cana-810	419	57	of	of	ADP
cana-810	419	58	tuberculosis	tuberculosis	NOUN
cana-810	419	59	and	and	CCONJ
cana-810	419	60	multidrug	multidrug	NOUN
cana-810	419	61	-	-	PUNCT
cana-810	419	62	resistant	resistant	ADJ
cana-810	419	63	tuberculosis	tuberculosis	NOUN
cana-810	419	64	,	,	PUNCT
cana-810	419	65	mbuji	mbuji	NOUN
cana-810	419	66	-	-	PUNCT
cana-810	419	67	mayi	mayi	PROPN
cana-810	419	68	central	central	ADJ
cana-810	419	69	prison	prison	NOUN
cana-810	419	70	,	,	PUNCT
cana-810	419	71	democratic	democratic	ADJ
cana-810	419	72	republic	republic	NOUN
cana-810	419	73	of	of	ADP
cana-810	419	74	the	the	DET
cana-810	419	75	congo	congo	PROPN
cana-810	419	76	,	,	PUNCT
cana-810	419	77	emerg	emerg	PROPN
cana-810	419	78	,	,	PUNCT
cana-810	419	79	”	"	PUNCT
cana-810	419	80	infect	infect	PROPN
cana-810	419	81	dis.24(11	dis.24(11	PROPN
cana-810	419	82	)	)	PUNCT
cana-810	419	83	,	,	PUNCT
cana-810	419	84	2029–2035	2029–2035	NUM
cana-810	419	85	2018	2018	NUM
cana-810	419	86	.	.	PUNCT
cana-810	420	1	[	[	X
cana-810	420	2	11	11	NUM
cana-810	420	3	]	]	PUNCT
cana-810	420	4	z.	z.	PROPN
cana-810	420	5	mukandavire	mukandavire	PROPN
cana-810	420	6	,	,	PUNCT
cana-810	420	7	a.b.gumel	a.b.gumel	PROPN
cana-810	420	8	,	,	PUNCT
cana-810	420	9	w.	w.	PROPN
cana-810	420	10	garira	garira	PROPN
cana-810	420	11	,	,	PUNCT
cana-810	420	12	&	&	CCONJ
cana-810	420	13	j.m	j.m	PROPN
cana-810	420	14	.	.	PROPN
cana-810	420	15	tchuenche	tchuenche	PROPN
cana-810	420	16	,	,	PUNCT
cana-810	420	17	“	"	PUNCT
cana-810	420	18	mathematical	mathematical	ADJ
cana-810	420	19	analysis	analysis	NOUN
cana-810	420	20	of	of	ADP
cana-810	420	21	a	a	DET
cana-810	420	22	model	model	NOUN
cana-810	420	23	for	for	ADP
cana-810	420	24	hiv−	hiv−	PROPN
cana-810	420	25	malaria	malaria	PROPN
cana-810	420	26	co.	co.	PROPN
cana-810	420	27	infection	infection	NOUN
cana-810	420	28	,	,	PUNCT
cana-810	420	29	”	"	PUNCT
cana-810	420	30	mathematical	mathematical	ADJ
cana-810	420	31	biosciences	bioscience	NOUN
cana-810	420	32	and	and	CCONJ
cana-810	420	33	engineering	engineering	NOUN
cana-810	420	34	.	.	PUNCT
cana-810	421	1	6(2	6(2	NUM
cana-810	421	2	)	)	PUNCT
cana-810	422	1	333–362	333–362	NUM
cana-810	422	2	2009	2009	NUM
cana-810	422	3	.	.	PUNCT
cana-810	423	1	[	[	X
cana-810	423	2	12	12	NUM
cana-810	423	3	]	]	X
cana-810	423	4	s.d	s.d	PROPN
cana-810	423	5	.	.	PROPN
cana-810	423	6	hove	hove	PROPN
cana-810	423	7	-	-	PUNCT
cana-810	423	8	musekwa	musekwa	PROPN
cana-810	423	9	,	,	PUNCT
cana-810	423	10	&	&	CCONJ
cana-810	423	11	f.	f.	PROPN
cana-810	423	12	nyabadza	nyabadza	PROPN
cana-810	423	13	,	,	PUNCT
cana-810	423	14	“	"	PUNCT
cana-810	423	15	the	the	DET
cana-810	423	16	dynamics	dynamic	NOUN
cana-810	423	17	of	of	ADP
cana-810	423	18	an	an	DET
cana-810	423	19	hiv	hiv	PROPN
cana-810	423	20	/	/	SYM
cana-810	423	21	aids	aids	PROPN
cana-810	423	22	model	model	NOUN
cana-810	423	23	with	with	ADP
cana-810	423	24	screened	screen	VERB
cana-810	423	25	disease	disease	NOUN
cana-810	423	26	carriers	carrier	NOUN
cana-810	423	27	,	,	PUNCT
cana-810	423	28	”	"	PUNCT
cana-810	423	29	computational	computational	ADJ
cana-810	423	30	and	and	CCONJ
cana-810	423	31	mathematical	mathematical	ADJ
cana-810	423	32	methods	method	NOUN
cana-810	423	33	in	in	ADP
cana-810	423	34	medicine.10(4	medicine.10(4	NOUN
cana-810	423	35	)	)	PUNCT
cana-810	423	36	,	,	PUNCT
cana-810	423	37	287–305	287–305	NUM
cana-810	423	38	2009	2009	NUM
cana-810	423	39	.	.	PUNCT
cana-810	424	1	[	[	X
cana-810	424	2	13	13	NUM
cana-810	424	3	]	]	PUNCT
cana-810	424	4	z.	z.	PROPN
cana-810	424	5	feng	feng	PROPN
cana-810	424	6	,	,	PUNCT
cana-810	424	7	c.	c.	PROPN
cana-810	424	8	castillo	castillo	PROPN
cana-810	424	9	-	-	PUNCT
cana-810	424	10	chavez	chavez	PROPN
cana-810	424	11	,	,	PUNCT
cana-810	424	12	af	af	PROPN
cana-810	424	13	.	.	PROPN
cana-810	424	14	capurro	capurro	PROPN
cana-810	424	15	,	,	PUNCT
cana-810	424	16	a	a	DET
cana-810	424	17	model	model	NOUN
cana-810	424	18	for	for	ADP
cana-810	424	19	tuberculosis	tuberculosis	NOUN
cana-810	424	20	with	with	ADP
cana-810	424	21	exogenous	exogenous	ADJ
cana-810	424	22	reinfection	reinfection	NOUN
cana-810	424	23	,	,	PUNCT
cana-810	424	24	”	"	PUNCT
cana-810	424	25	theor	theor	PROPN
cana-810	424	26	pop	pop	NOUN
cana-810	424	27	biol	biol	PROPN
cana-810	424	28	.	.	PUNCT
cana-810	425	1	57(3	57(3	X
cana-810	425	2	)	)	PUNCT
cana-810	425	3	,	,	PUNCT
cana-810	426	1	235–2472000	235–2472000	NUM
cana-810	426	2	.	.	PUNCT
cana-810	427	1	[	[	X
cana-810	427	2	14	14	NUM
cana-810	427	3	]	]	X
cana-810	427	4	s.	s.	PROPN
cana-810	427	5	athithan	athithan	PROPN
cana-810	427	6	·	·	PUNCT
cana-810	427	7	mini	mini	ADJ
cana-810	427	8	ghosh	ghosh	NOUN
cana-810	427	9	,	,	PUNCT
cana-810	427	10	”	"	PUNCT
cana-810	427	11	mathematical	mathematical	ADJ
cana-810	427	12	modelling	modelling	NOUN
cana-810	427	13	of	of	ADP
cana-810	427	14	tb	tb	NOUN
cana-810	427	15	with	with	ADP
cana-810	427	16	the	the	DET
cana-810	427	17	effects	effect	NOUN
cana-810	427	18	of	of	ADP
cana-810	427	19	case	case	NOUN
cana-810	427	20	detection	detection	NOUN
cana-810	427	21	and	and	CCONJ
cana-810	427	22	treatment	treatment	NOUN
cana-810	427	23	,	,	PUNCT
cana-810	427	24	”	"	PUNCT
cana-810	427	25	int	int	NOUN
cana-810	427	26	.	.	PUNCT
cana-810	428	1	j.	j.	PROPN
cana-810	428	2	dynam	dynam	PROPN
cana-810	428	3	.	.	PUNCT
cana-810	429	1	control.1	control.1	VERB
cana-810	429	2	,	,	PUNCT
cana-810	429	3	223–230	223–230	NUM
cana-810	429	4	2013	2013	NUM
cana-810	429	5	.	.	PUNCT
cana-810	430	1	[	[	X
cana-810	430	2	15	15	NUM
cana-810	430	3	]	]	X
cana-810	430	4	r.	r.	PROPN
cana-810	430	5	naresh	naresh	PROPN
cana-810	430	6	,	,	PUNCT
cana-810	430	7	s.	s.	PROPN
cana-810	430	8	pandey	pandey	PROPN
cana-810	430	9	,	,	PUNCT
cana-810	430	10	jb	jb	PROPN
cana-810	430	11	.	.	PROPN
cana-810	430	12	shukla	shukla	PROPN
cana-810	430	13	,	,	PUNCT
cana-810	430	14	“	"	PUNCT
cana-810	430	15	modelling	model	VERB
cana-810	430	16	the	the	DET
cana-810	430	17	cumulative	cumulative	ADJ
cana-810	430	18	effect	effect	NOUN
cana-810	430	19	of	of	ADP
cana-810	430	20	ecological	ecological	ADJ
cana-810	430	21	factors	factor	NOUN
cana-810	430	22	in	in	ADP
cana-810	430	23	the	the	DET
cana-810	430	24	habitat	habitat	NOUN
cana-810	430	25	on	on	ADP
cana-810	430	26	the	the	DET
cana-810	430	27	spread	spread	NOUN
cana-810	430	28	of	of	ADP
cana-810	430	29	tuberculosis	tuberculosis	NOUN
cana-810	430	30	,	,	PUNCT
cana-810	430	31	”	"	PUNCT
cana-810	430	32	j	j	PROPN
cana-810	430	33	bio	bio	PROPN
cana-810	430	34	math	math	PROPN
cana-810	430	35	.	.	PUNCT
cana-810	431	1	2	2	NUM
cana-810	431	2	,	,	PUNCT
cana-810	431	3	339–355	339–355	NUM
cana-810	431	4	2009	2009	NUM
cana-810	431	5	.	.	PUNCT
cana-810	432	1	[	[	X
cana-810	432	2	16	16	NUM
cana-810	432	3	]	]	X
cana-810	432	4	g.	g.	PROPN
cana-810	432	5	magombedze	magombedze	PROPN
cana-810	432	6	,	,	PUNCT
cana-810	432	7	w.	w.	PROPN
cana-810	432	8	garira	garira	PROPN
cana-810	432	9	,	,	PUNCT
cana-810	432	10	e.	e.	PROPN
cana-810	432	11	mwenje	mwenje	PROPN
cana-810	432	12	,	,	PUNCT
cana-810	432	13	“	"	PUNCT
cana-810	432	14	mathematical	mathematical	ADJ
cana-810	432	15	modelling	modelling	NOUN
cana-810	432	16	of	of	ADP
cana-810	432	17	chemotherapy	chemotherapy	NOUN
cana-810	432	18	of	of	ADP
cana-810	432	19	human	human	ADJ
cana-810	432	20	tb	tb	NOUN
cana-810	432	21	infection	infection	NOUN
cana-810	432	22	,	,	PUNCT
cana-810	432	23	”	"	PUNCT
cana-810	432	24	j	j	PROPN
cana-810	432	25	https://pubmed.ncbi.nlm.nih.gov/?term=kayomo%20mk%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=kayomo%20mk%5bauthor%5d	PROPN
cana-810	432	26	https://pubmed.ncbi.nlm.nih.gov/?term=hasker%20e%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=hasker%20e%5bauthor%5d	NOUN
cana-810	432	27	https://pubmed.ncbi.nlm.nih.gov/?term=aloni%20m%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=aloni%20m%5bauthor%5d	PROPN
cana-810	432	28	https://pubmed.ncbi.nlm.nih.gov/?term=nkuku%20l%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=nkuku%20l%5bauthor%5d	VERB
cana-810	432	29	https://pubmed.ncbi.nlm.nih.gov/?term=kazadi%20m%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=kazadi%20m%5bauthor%5d	ADP
cana-810	432	30	https://pubmed.ncbi.nlm.nih.gov/?term=kabengele%20t%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=kabengele%20t%5bauthor%5d	PROPN
cana-810	432	31	https://pubmed.ncbi.nlm.nih.gov/?term=muteteke%20d%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=muteteke%20d%5bauthor%5d	PROPN
cana-810	432	32	https://pubmed.ncbi.nlm.nih.gov/?term=muteteke%20d%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=muteteke%20d%5bauthor%5d	PROPN
cana-810	432	33	https://pubmed.ncbi.nlm.nih.gov/?term=kapita%20f%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=kapita%20f%5bauthor%5d	PROPN
cana-810	432	34	https://pubmed.ncbi.nlm.nih.gov/?term=lufulwabo%20a%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=lufulwabo%20a%5bauthor%5d	PROPN
cana-810	432	35	https://pubmed.ncbi.nlm.nih.gov/?term=mukadi%20yd%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=mukadi%20yd%5bauthor%5d	ADP
cana-810	432	36	https://pubmed.ncbi.nlm.nih.gov/?term=muyembe-tamfum%20jj%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=muyembe-tamfum%20jj%5bauthor%5d	PROPN
cana-810	432	37	https://pubmed.ncbi.nlm.nih.gov/?term=ieven%20m%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=ieven%20m%5bauthor%5d	PROPN
cana-810	432	38	https://pubmed.ncbi.nlm.nih.gov/?term=ieven%20m%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=ieven%20m%5bauthor%5d	PROPN
cana-810	432	39	https://pubmed.ncbi.nlm.nih.gov/?term=de%20jong%20bc%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=de%20jong%20bc%5bauthor%5d	PROPN
cana-810	432	40	https://pubmed.ncbi.nlm.nih.gov/?term=boelaert%20m%5bauthor%5d	https://pubmed.ncbi.nlm.nih.gov/?term=boelaert%20m%5bauthor%5d	NOUN
cana-810	432	41	communications	communication	NOUN
cana-810	432	42	on	on	ADP
cana-810	432	43	applied	apply	VERB
cana-810	432	44	nonlinear	nonlinear	ADJ
cana-810	432	45	analysis	analysis	NOUN
cana-810	432	46	issn	issn	NOUN
cana-810	432	47	:	:	PUNCT
cana-810	432	48	1074	1074	NUM
cana-810	432	49	-	-	PUNCT
cana-810	432	50	133x	133x	NUM
cana-810	432	51	vol	vol	NOUN
cana-810	432	52	31	31	NUM
cana-810	432	53	no	no	NOUN
cana-810	432	54	.	.	PUNCT
cana-810	433	1	3s	3s	NUM
cana-810	433	2	(	(	PUNCT
cana-810	433	3	2024	2024	NUM
cana-810	433	4	)	)	PUNCT
cana-810	433	5	578	578	NUM
cana-810	433	6	https://internationalpubls.co	https://internationalpubls.co	NUM
cana-810	433	7	m	m	NOUN
cana-810	433	8	biol	biol	NOUN
cana-810	433	9	syst.14(4	syst.14(4	NOUN
cana-810	433	10	)	)	PUNCT
cana-810	433	11	,	,	PUNCT
cana-810	433	12	509–5532006	509–5532006	NUM
cana-810	433	13	.	.	PUNCT
cana-810	434	1	[	[	X
cana-810	434	2	17	17	NUM
cana-810	434	3	]	]	X
cana-810	434	4	h.	h.	PROPN
cana-810	434	5	humphreys	humphreys	PROPN
cana-810	434	6	,	,	PUNCT
cana-810	434	7	“	"	PUNCT
cana-810	434	8	control	control	NOUN
cana-810	434	9	and	and	CCONJ
cana-810	434	10	prevention	prevention	NOUN
cana-810	434	11	of	of	ADP
cana-810	434	12	health	health	NOUN
cana-810	434	13	care	care	NOUN
cana-810	434	14	associated	associate	VERB
cana-810	434	15	tuberculosis	tuberculosis	NOUN
cana-810	434	16	:	:	PUNCT
cana-810	434	17	the	the	DET
cana-810	434	18	role	role	NOUN
cana-810	434	19	of	of	ADP
cana-810	434	20	respiratory	respiratory	ADJ
cana-810	434	21	isolation	isolation	NOUN
cana-810	434	22	and	and	CCONJ
cana-810	434	23	personal	personal	ADJ
cana-810	434	24	respiratory	respiratory	ADJ
cana-810	434	25	protection	protection	NOUN
cana-810	434	26	,	,	PUNCT
cana-810	434	27	”	"	PUNCT
cana-810	434	28	j	j	PROPN
cana-810	434	29	hosp	hosp	PROPN
cana-810	434	30	infect	infect	VERB
cana-810	434	31	.	.	PUNCT
cana-810	435	1	66(1	66(1	X
cana-810	435	2	)	)	PUNCT
cana-810	435	3	,	,	PUNCT
cana-810	435	4	1–52007	1–52007	ADJ
cana-810	435	5	.	.	PUNCT
cana-810	436	1	[	[	X
cana-810	436	2	18	18	NUM
cana-810	436	3	]	]	X
cana-810	436	4	g.	g.	PROPN
cana-810	436	5	magombedze	magombedze	PROPN
cana-810	436	6	,	,	PUNCT
cana-810	436	7	w.	w.	PROPN
cana-810	436	8	garira	garira	PROPN
cana-810	436	9	,	,	PUNCT
cana-810	436	10	e.	e.	PROPN
cana-810	436	11	mwenje	mwenje	PROPN
cana-810	436	12	,	,	PUNCT
cana-810	436	13	”	"	PUNCT
cana-810	436	14	modelling	model	VERB
cana-810	436	15	the	the	DET
cana-810	436	16	human	human	ADJ
cana-810	436	17	immune	immune	ADJ
cana-810	436	18	response	response	NOUN
cana-810	436	19	mechanisms	mechanism	NOUN
cana-810	436	20	to	to	ADP
cana-810	436	21	mycobacterium	mycobacterium	NOUN
cana-810	436	22	tuberculosis	tuberculosis	NOUN
cana-810	436	23	infection	infection	NOUN
cana-810	436	24	in	in	ADP
cana-810	436	25	lungs	lung	NOUN
cana-810	436	26	,	,	PUNCT
cana-810	436	27	”	"	PUNCT
cana-810	436	28	math	math	PROPN
cana-810	436	29	biosci	biosci	PROPN
cana-810	436	30	eng.3(4	eng.3(4	PROPN
cana-810	436	31	)	)	PUNCT
cana-810	436	32	,	,	PUNCT
cana-810	436	33	661	661	NUM
cana-810	436	34	-	-	SYM
cana-810	436	35	6822006	6822006	NUM
cana-810	436	36	.	.	PUNCT
cana-810	437	1	[	[	X
cana-810	437	2	19	19	NUM
cana-810	437	3	]	]	X
cana-810	437	4	s.	s.	PROPN
cana-810	437	5	marino	marino	PROPN
cana-810	437	6	,	,	PUNCT
cana-810	437	7	d.e	d.e	PROPN
cana-810	437	8	.	.	PROPN
cana-810	437	9	kirschner	kirschner	PROPN
cana-810	437	10	,	,	PUNCT
cana-810	437	11	“	"	PUNCT
cana-810	437	12	the	the	DET
cana-810	437	13	human	human	ADJ
cana-810	437	14	immune	immune	ADJ
cana-810	437	15	response	response	NOUN
cana-810	437	16	to	to	ADP
cana-810	437	17	the	the	DET
cana-810	437	18	mycobacterium	mycobacterium	NOUN
cana-810	437	19	tuberculosis	tuberculosis	NOUN
cana-810	437	20	in	in	ADP
cana-810	437	21	lung	lung	NOUN
cana-810	437	22	and	and	CCONJ
cana-810	437	23	lymph	lymph	NOUN
cana-810	437	24	node	node	NOUN
cana-810	437	25	,	,	PUNCT
cana-810	437	26	”	"	PUNCT
cana-810	437	27	journal	journal	NOUN
cana-810	437	28	of	of	ADP
cana-810	437	29	theor	theor	PROPN
cana-810	437	30	biol.227(4	biol.227(4	PROPN
cana-810	437	31	)	)	PUNCT
cana-810	437	32	,	,	PUNCT
cana-810	437	33	463	463	NUM
cana-810	437	34	-	-	SYM
cana-810	437	35	486	486	NUM
cana-810	437	36	2004	2004	NUM
cana-810	437	37	.	.	PUNCT
cana-810	438	1	[	[	X
cana-810	438	2	20	20	NUM
cana-810	438	3	]	]	SYM
cana-810	438	4	e.i	e.i	PROPN
cana-810	438	5	.	.	PROPN
cana-810	438	6	mondragon	mondragon	PROPN
cana-810	438	7	,	,	PUNCT
cana-810	438	8	l.	l.	PROPN
cana-810	438	9	esteva	esteva	PROPN
cana-810	438	10	,	,	PUNCT
cana-810	438	11	l.c	l.c	PROPN
cana-810	438	12	.	.	PROPN
cana-810	438	13	galan	galan	PROPN
cana-810	438	14	,	,	PUNCT
cana-810	438	15	“	"	PUNCT
cana-810	438	16	a	a	DET
cana-810	438	17	mathematical	mathematical	ADJ
cana-810	438	18	model	model	NOUN
cana-810	438	19	for	for	ADP
cana-810	438	20	cellular	cellular	ADJ
cana-810	438	21	immunology	immunology	NOUN
cana-810	438	22	of	of	ADP
cana-810	438	23	tuberculosis	tuberculosis	NOUN
cana-810	438	24	,	,	PUNCT
cana-810	438	25	”	"	PUNCT
cana-810	438	26	mathematical	mathematical	ADJ
cana-810	438	27	biosciences	bioscience	NOUN
cana-810	438	28	and	and	CCONJ
cana-810	438	29	engineering	engineering	NOUN
cana-810	438	30	.	.	PUNCT
cana-810	439	1	8(4	8(4	NUM
cana-810	439	2	)	)	PUNCT
cana-810	439	3	,	,	PUNCT
cana-810	439	4	973	973	NUM
cana-810	439	5	-	-	SYM
cana-810	439	6	986	986	NUM
cana-810	439	7	2011	2011	NUM
cana-810	439	8	.	.	PUNCT
cana-810	440	1	[	[	X
cana-810	440	2	21	21	NUM
cana-810	440	3	]	]	X
cana-810	440	4	y.	y.	PROPN
cana-810	440	5	zhang	zhang	PROPN
cana-810	440	6	,	,	PUNCT
cana-810	440	7	k.	k.	PROPN
cana-810	440	8	post	post	PROPN
cana-810	440	9	-	-	NOUN
cana-810	440	10	martens	marten	NOUN
cana-810	440	11	,	,	PUNCT
cana-810	440	12	&	&	CCONJ
cana-810	440	13	s.	s.	PROPN
cana-810	440	14	denkin	denkin	PROPN
cana-810	440	15	,	,	PUNCT
cana-810	440	16	“	"	PUNCT
cana-810	440	17	new	new	ADJ
cana-810	440	18	drug	drug	NOUN
cana-810	440	19	candidates	candidate	NOUN
cana-810	440	20	and	and	CCONJ
cana-810	440	21	therapeutic	therapeutic	ADJ
cana-810	440	22	targets	target	NOUN
cana-810	440	23	for	for	ADP
cana-810	440	24	tuberculosis	tuberculosis	NOUN
cana-810	440	25	therapy	therapy	NOUN
cana-810	440	26	,	,	PUNCT
cana-810	440	27	”	"	PUNCT
cana-810	440	28	drug	drug	NOUN
cana-810	440	29	discovery	discovery	NOUN
cana-810	440	30	today.11(1	today.11(1	NOUN
cana-810	440	31	-	-	PUNCT
cana-810	440	32	2	2	NUM
cana-810	440	33	)	)	PUNCT
cana-810	440	34	,	,	PUNCT
cana-810	440	35	21	21	NUM
cana-810	440	36	-	-	SYM
cana-810	440	37	72006	72006	NUM
cana-810	440	38	.	.	PUNCT
cana-810	441	1	[	[	X
cana-810	441	2	22	22	NUM
cana-810	441	3	]	]	PUNCT
cana-810	441	4	n.kumarjothi	n.kumarjothi	NOUN
cana-810	441	5	,	,	PUNCT
cana-810	441	6	v.	v.	CCONJ
cana-810	441	7	vadivelu	vadivelu	PROPN
cana-810	441	8	,	,	PUNCT
cana-810	441	9	senthil	senthil	PROPN
cana-810	441	10	kumar	kumar	PROPN
cana-810	441	11	dayalan	dayalan	PROPN
cana-810	441	12	,	,	PUNCT
cana-810	441	13	jayant	jayant	PROPN
cana-810	441	14	giri	giri	PROPN
cana-810	441	15	,	,	PUNCT
cana-810	441	16	wesam	wesam	PROPN
cana-810	441	17	atef	atef	PROPN
cana-810	441	18	hatamleh	hatamleh	PROPN
cana-810	441	19	,	,	PUNCT
cana-810	441	20	and	and	CCONJ
cana-810	441	21	hitesh	hitesh	PROPN
cana-810	441	22	panchal	panchal	VERB
cana-810	441	23	,	,	PUNCT
cana-810	441	24	“	"	PUNCT
cana-810	441	25	dynamic	dynamic	ADJ
cana-810	441	26	interactions	interaction	NOUN
cana-810	441	27	of	of	ADP
cana-810	441	28	hsv-2	hsv-2	X
cana-810	441	29	and	and	CCONJ
cana-810	441	30	hiv	hiv	PROPN
cana-810	441	31	/	/	SYM
cana-810	441	32	aids	aids	PROPN
cana-810	441	33	:	:	PUNCT
cana-810	441	34	a	a	DET
cana-810	441	35	mathematical	mathematical	ADJ
cana-810	441	36	modeling	modeling	NOUN
cana-810	441	37	approach	approach	NOUN
cana-810	441	38	,	,	PUNCT
cana-810	441	39	”	"	PUNCT
cana-810	441	40	aip	aip	PROPN
cana-810	441	41	advances	advance	NOUN
cana-810	441	42	.	.	PUNCT
cana-810	442	1	14(3	14(3	NUM
cana-810	442	2	)	)	PUNCT
cana-810	442	3	,	,	PUNCT
cana-810	442	4	116	116	NUM
cana-810	442	5	,	,	PUNCT
cana-810	442	6	2024	2024	NUM
cana-810	442	7	.	.	PUNCT
cana-810	443	1	[	[	X
cana-810	443	2	23	23	NUM
cana-810	443	3	]	]	PUNCT
cana-810	443	4	p.	p.	PROPN
cana-810	443	5	chopra	chopra	PROPN
cana-810	443	6	,	,	PUNCT
cana-810	443	7	l.s	l.s	PROPN
cana-810	443	8	.	.	PROPN
cana-810	443	9	meena	meena	PROPN
cana-810	443	10	,	,	PUNCT
cana-810	443	11	&	&	CCONJ
cana-810	443	12	y.	y.	PROPN
cana-810	443	13	singh	singh	PROPN
cana-810	443	14	,	,	PUNCT
cana-810	443	15	“	"	PUNCT
cana-810	443	16	new	new	ADJ
cana-810	443	17	drug	drug	NOUN
cana-810	443	18	targets	target	NOUN
cana-810	443	19	for	for	ADP
cana-810	443	20	mycobacterium	mycobacterium	NOUN
cana-810	443	21	tuberculosis	tuberculosis	NOUN
cana-810	443	22	,	,	PUNCT
cana-810	443	23	”	"	PUNCT
cana-810	443	24	indian	indian	ADJ
cana-810	443	25	journal	journal	NOUN
cana-810	443	26	of	of	ADP
cana-810	443	27	medical	medical	ADJ
cana-810	443	28	research.117,1	research.117,1	NOUN
cana-810	443	29	-	-	SYM
cana-810	443	30	19	19	NUM
cana-810	443	31	2003	2003	NUM
cana-810	443	32	.	.	PUNCT
cana-810	444	1	[	[	X
cana-810	444	2	24	24	NUM
cana-810	444	3	]	]	X
cana-810	444	4	n.	n.	PROPN
cana-810	444	5	kumar	kumar	PROPN
cana-810	444	6	jothi	jothi	PROPN
cana-810	444	7	,	,	PUNCT
cana-810	444	8	m.	m.	PROPN
cana-810	444	9	l.	l.	PROPN
cana-810	444	10	suresh	suresh	PROPN
cana-810	444	11	,	,	PUNCT
cana-810	444	12	and	and	CCONJ
cana-810	444	13	t.	t.	PROPN
cana-810	444	14	n.	n.	PROPN
cana-810	444	15	m.	m.	PROPN
cana-810	444	16	malini	malini	PROPN
cana-810	444	17	mai	mai	PROPN
cana-810	444	18	,	,	PUNCT
cana-810	444	19	“	"	PUNCT
cana-810	444	20	mathematical	mathematical	ADJ
cana-810	444	21	model	model	NOUN
cana-810	444	22	for	for	ADP
cana-810	444	23	the	the	DET
cana-810	444	24	control	control	NOUN
cana-810	444	25	of	of	ADP
cana-810	444	26	life	life	NOUN
cana-810	444	27	cycle	cycle	NOUN
cana-810	444	28	of	of	ADP
cana-810	444	29	feminine	feminine	ADJ
cana-810	444	30	anopheles	anophele	NOUN
cana-810	444	31	mosquitoes	mosquito	NOUN
cana-810	444	32	,	,	PUNCT
cana-810	444	33	”	"	PUNCT
cana-810	444	34	int	int	NOUN
cana-810	444	35	.	.	PUNCT
cana-810	445	1	j.	j.	PROPN
cana-810	445	2	recent	recent	ADJ
cana-810	445	3	technol	technol	PROPN
cana-810	445	4	.	.	PUNCT
cana-810	445	5	eng.8(3	eng.8(3	PROPN
cana-810	445	6	)	)	PUNCT
cana-810	445	7	,	,	PUNCT
cana-810	445	8	5316–5319	5316–5319	NUM
cana-810	445	9	2019	2019	NUM
cana-810	445	10	.	.	PUNCT
cana-810	446	1	[	[	X
cana-810	446	2	25	25	NUM
cana-810	446	3	]	]	PUNCT
cana-810	446	4	m.	m.	PROPN
cana-810	446	5	richardson	richardson	PROPN
cana-810	446	6	,	,	PUNCT
cana-810	446	7	n.m	n.m	PROPN
cana-810	446	8	.	.	PROPN
cana-810	446	9	carroll	carroll	PROPN
cana-810	446	10	,	,	PUNCT
cana-810	446	11	e.	e.	PROPN
cana-810	446	12	engelke	engelke	PROPN
cana-810	446	13	,	,	PUNCT
cana-810	446	14	g.d	g.d	PROPN
cana-810	446	15	.	.	PROPN
cana-810	446	16	van	van	PROPN
cana-810	446	17	der	der	PROPN
cana-810	446	18	spuy	spuy	NOUN
cana-810	446	19	,	,	PUNCT
cana-810	446	20	f.	f.	PROPN
cana-810	446	21	salker	salker	PROPN
cana-810	446	22	,	,	PUNCT
cana-810	446	23	z.	z.	PROPN
cana-810	446	24	munch	munch	PROPN
cana-810	446	25	,	,	PUNCT
cana-810	446	26	pd	pd	PROPN
cana-810	446	27	.	.	PROPN
cana-810	446	28	van	van	PROPN
cana-810	446	29	helden	helden	PROPN
cana-810	446	30	,	,	PUNCT
cana-810	446	31	“	"	PUNCT
cana-810	446	32	multiple	multiple	ADJ
cana-810	446	33	mycobacterium	mycobacterium	NOUN
cana-810	446	34	tuberculosis	tuberculosis	NOUN
cana-810	446	35	strains	strain	NOUN
cana-810	446	36	in	in	ADP
cana-810	446	37	early	early	ADJ
cana-810	446	38	cultures	culture	NOUN
cana-810	446	39	from	from	ADP
cana-810	446	40	patients	patient	NOUN
cana-810	446	41	in	in	ADP
cana-810	446	42	a	a	DET
cana-810	446	43	high	high	ADJ
cana-810	446	44	-	-	PUNCT
cana-810	446	45	incidence	incidence	NOUN
cana-810	446	46	community	community	NOUN
cana-810	446	47	setting	setting	NOUN
cana-810	446	48	,	,	PUNCT
cana-810	446	49	”	"	PUNCT
cana-810	446	50	journal	journal	NOUN
cana-810	446	51	of	of	ADP
cana-810	446	52	clinical	clinical	ADJ
cana-810	446	53	microbiology	microbiology	NOUN
cana-810	446	54	.	.	PUNCT
cana-810	447	1	40(8	40(8	NUM
cana-810	447	2	)	)	PUNCT
cana-810	447	3	,	,	PUNCT
cana-810	447	4	2750–2754	2750–2754	NUM
cana-810	447	5	2002	2002	NUM
cana-810	447	6	.	.	PUNCT
cana-810	448	1	[	[	X
cana-810	448	2	26	26	NUM
cana-810	448	3	]	]	X
cana-810	448	4	n.	n.	PROPN
cana-810	448	5	kumar	kumar	PROPN
cana-810	448	6	jothi	jothi	PROPN
cana-810	448	7	.	.	PROPN
cana-810	448	8	,	,	PUNCT
cana-810	448	9	anusha	anusha	VERB
cana-810	448	10	muruganandham	muruganandham	PROPN
cana-810	448	11	.	.	PUNCT
cana-810	448	12	,	,	PUNCT
cana-810	448	13	t.	t.	PROPN
cana-810	448	14	stalin	stalin	PROPN
cana-810	448	15	,	,	PUNCT
cana-810	448	16	and	and	CCONJ
cana-810	448	17	s.	s.	PROPN
cana-810	448	18	kumar	kumar	PROPN
cana-810	448	19	dayalan	dayalan	PROPN
cana-810	448	20	.	.	PUNCT
cana-810	448	21	,	,	PUNCT
cana-810	448	22	“	"	PUNCT
cana-810	448	23	ecological	ecological	ADJ
cana-810	448	24	dynamics	dynamic	NOUN
cana-810	448	25	and	and	CCONJ
cana-810	448	26	control	control	NOUN
cana-810	448	27	strategies	strategy	NOUN
cana-810	448	28	of	of	ADP
cana-810	448	29	the	the	DET
cana-810	448	30	feminine	feminine	ADJ
cana-810	448	31	anopheles	anophele	NOUN
cana-810	448	32	stephensi	stephensi	NOUN
cana-810	448	33	using	use	VERB
cana-810	448	34	volterra	volterra	NOUN
cana-810	448	35	–	–	PUNCT
cana-810	448	36	lyapunov	lyapunov	NOUN
cana-810	448	37	function	function	NOUN
cana-810	448	38	,	,	PUNCT
cana-810	448	39	”	"	PUNCT
cana-810	448	40	j.	j.	PROPN
cana-810	448	41	oriental	oriental	PROPN
cana-810	448	42	inst	inst	PROPN
cana-810	448	43	.	.	PUNCT
cana-810	449	1	72(3–5	72(3–5	X
cana-810	449	2	)	)	PUNCT
cana-810	449	3	,	,	PUNCT
cana-810	449	4	117	117	NUM
cana-810	449	5	–	–	PUNCT
cana-810	449	6	127	127	NUM
cana-810	449	7	(	(	PUNCT
cana-810	449	8	2023	2023	NUM
cana-810	449	9	)	)	PUNCT
cana-810	449	10	.	.	PUNCT
cana-810	450	1	[	[	X
cana-810	450	2	27	27	NUM
cana-810	450	3	]	]	SYM
cana-810	450	4	s.m	s.m	PROPN
cana-810	450	5	.	.	PROPN
cana-810	450	6	blower	blower	NOUN
cana-810	450	7	,	,	PUNCT
cana-810	450	8	a.r	a.r	PROPN
cana-810	450	9	mclean	mclean	PROPN
cana-810	450	10	,	,	PUNCT
cana-810	450	11	t.c	t.c	PROPN
cana-810	450	12	.	.	PROPN
cana-810	450	13	porco	porco	PROPN
cana-810	450	14	,	,	PUNCT
cana-810	450	15	p.m.	p.m.	NOUN
cana-810	450	16	small	small	ADJ
cana-810	450	17	,	,	PUNCT
cana-810	450	18	p.c	p.c	PROPN
cana-810	450	19	.	.	PROPN
cana-810	450	20	hopewell	hopewell	PROPN
cana-810	450	21	,	,	PUNCT
cana-810	450	22	m.a	m.a	PROPN
cana-810	450	23	.	.	PROPN
cana-810	450	24	sanchez	sanchez	PROPN
cana-810	450	25	,	,	PUNCT
cana-810	450	26	a.r	a.r	PROPN
cana-810	450	27	.	.	PROPN
cana-810	450	28	moss	moss	NOUN
cana-810	450	29	,	,	PUNCT
cana-810	450	30	“	"	PUNCT
cana-810	450	31	the	the	DET
cana-810	450	32	intrinsic	intrinsic	ADJ
cana-810	450	33	transmission	transmission	NOUN
cana-810	450	34	dynamics	dynamic	NOUN
cana-810	450	35	of	of	ADP
cana-810	450	36	tuberculosis	tuberculosis	NOUN
cana-810	450	37	epidemics	epidemic	NOUN
cana-810	450	38	,	,	PUNCT
cana-810	450	39	”	"	PUNCT
cana-810	450	40	nature	nature	NOUN
cana-810	450	41	medicine.1(8	medicine.1(8	PROPN
cana-810	450	42	)	)	PUNCT
cana-810	450	43	815–8211995	815–8211995	NUM
cana-810	450	44	.	.	PUNCT
cana-810	451	1	[	[	X
cana-810	451	2	28	28	NUM
cana-810	451	3	]	]	X
cana-810	451	4	n.	n.	PROPN
cana-810	451	5	kumar	kumar	PROPN
cana-810	451	6	jothi	jothi	PROPN
cana-810	451	7	,	,	PUNCT
cana-810	451	8	r.	r.	PROPN
cana-810	451	9	selvakumari	selvakumari	PROPN
cana-810	451	10	,	,	PUNCT
cana-810	451	11	p.	p.	PROPN
cana-810	451	12	senthil	senthil	PROPN
cana-810	451	13	kumar	kumar	PROPN
cana-810	451	14	,	,	PUNCT
cana-810	451	15	k.	k.	PROPN
cana-810	451	16	balamurugan	balamurugan	PROPN
cana-810	451	17	,	,	PUNCT
cana-810	451	18	m.	m.	NOUN
cana-810	451	19	jayaprakash	jayaprakash	PROPN
cana-810	451	20	,	,	PUNCT
cana-810	451	21	“	"	PUNCT
cana-810	451	22	epidemiological	epidemiological	ADJ
cana-810	451	23	dynamics	dynamic	NOUN
cana-810	451	24	of	of	ADP
cana-810	451	25	diabetes	diabetes	NOUN
cana-810	451	26	:	:	PUNCT
cana-810	451	27	modeling	model	VERB
cana-810	451	28	approaches	approach	NOUN
cana-810	451	29	and	and	CCONJ
cana-810	451	30	stability	stability	NOUN
cana-810	451	31	evaluation	evaluation	NOUN
cana-810	451	32	,	,	PUNCT
cana-810	451	33	”	"	PUNCT
cana-810	451	34	musik	musik	PROPN
cana-810	451	35	in	in	ADP
cana-810	451	36	bayern	bayern	PROPN
cana-810	451	37	.	.	PUNCT
cana-810	452	1	89(4	89(4	NOUN
cana-810	452	2	)	)	PUNCT
cana-810	452	3	,	,	PUNCT
cana-810	452	4	1	1	NUM
cana-810	452	5	-	-	SYM
cana-810	452	6	13	13	NUM
cana-810	452	7	2024	2024	NUM
cana-810	452	8	.	.	PUNCT
cana-810	453	1	[	[	X
cana-810	453	2	29	29	NUM
cana-810	453	3	]	]	X
cana-810	453	4	n.	n.	PROPN
cana-810	453	5	kumar	kumar	PROPN
cana-810	453	6	jothi	jothi	PROPN
cana-810	453	7	,	,	PUNCT
cana-810	453	8	a.	a.	NOUN
cana-810	453	9	lakshmi	lakshmi	NOUN
cana-810	453	10	,	,	PUNCT
cana-810	453	11	“	"	PUNCT
cana-810	453	12	development	development	NOUN
cana-810	453	13	and	and	CCONJ
cana-810	453	14	analysis	analysis	NOUN
cana-810	453	15	of	of	ADP
cana-810	453	16	malaria	malaria	NOUN
cana-810	453	17	vector	vector	NOUN
cana-810	453	18	by	by	ADP
cana-810	453	19	mathematical	mathematical	ADJ
cana-810	453	20	modeling	modeling	NOUN
cana-810	453	21	,	,	PUNCT
cana-810	453	22	”	"	PUNCT
cana-810	453	23	lecture	lecture	NOUN
cana-810	453	24	notes	note	NOUN
cana-810	453	25	in	in	ADP
cana-810	453	26	electrical	electrical	ADJ
cana-810	453	27	engineering	engineering	NOUN
cana-810	453	28	:	:	PUNCT
cana-810	453	29	springer	springer	NOUN
cana-810	453	30	.	.	PUNCT
cana-810	454	1	1116	1116	NUM
cana-810	454	2	,	,	PUNCT
cana-810	454	3	551	551	NUM
cana-810	454	4	-	-	SYM
cana-810	454	5	562	562	NUM
cana-810	454	6	,	,	PUNCT
cana-810	454	7	2024	2024	NUM
cana-810	454	8	.	.	PUNCT
cana-810	455	1	[	[	X
cana-810	455	2	30	30	NUM
cana-810	455	3	]	]	X
cana-810	455	4	e.	e.	PROPN
cana-810	455	5	vynnycky	vynnycky	PROPN
cana-810	455	6	and	and	CCONJ
cana-810	455	7	p.	p.	PROPN
cana-810	455	8	e.	e.	PROPN
cana-810	455	9	m.	m.	PROPN
cana-810	455	10	fine	fine	PROPN
cana-810	455	11	,	,	PUNCT
cana-810	455	12	“	"	PUNCT
cana-810	455	13	the	the	DET
cana-810	455	14	natural	natural	ADJ
cana-810	455	15	history	history	NOUN
cana-810	455	16	of	of	ADP
cana-810	455	17	tuberculosis	tuberculosis	NOUN
cana-810	455	18	:	:	PUNCT
cana-810	455	19	the	the	DET
cana-810	455	20	implications	implication	NOUN
cana-810	455	21	of	of	ADP
cana-810	455	22	age	age	NOUN
cana-810	455	23	-	-	PUNCT
cana-810	455	24	dependent	dependent	ADJ
cana-810	455	25	risks	risk	NOUN
cana-810	455	26	of	of	ADP
cana-810	455	27	disease	disease	NOUN
cana-810	455	28	and	and	CCONJ
cana-810	455	29	the	the	DET
cana-810	455	30	role	role	NOUN
cana-810	455	31	of	of	ADP
cana-810	455	32	reinfection	reinfection	NOUN
cana-810	455	33	,	,	PUNCT
cana-810	455	34	”	"	PUNCT
cana-810	455	35	epidemiol	epidemiol	PROPN
cana-810	455	36	infection.119(2	infection.119(2	NOUN
cana-810	455	37	)	)	PUNCT
cana-810	455	38	,	,	PUNCT
cana-810	455	39	183–2011997	183–2011997	NUM
cana-810	455	40	.	.	PUNCT
cana-810	456	1	[	[	X
cana-810	456	2	31	31	NUM
cana-810	456	3	]	]	X
cana-810	456	4	n.	n.	PROPN
cana-810	456	5	kumar	kumar	PROPN
cana-810	456	6	jothi	jothi	PROPN
cana-810	456	7	.	.	PROPN
cana-810	456	8	,	,	PUNCT
cana-810	456	9	anusha	anusha	VERB
cana-810	456	10	muruganandham	muruganandham	PROPN
cana-810	456	11	.	.	PUNCT
cana-810	456	12	,	,	PUNCT
cana-810	456	13	t.	t.	PROPN
cana-810	456	14	vivekanandan	vivekanandan	PROPN
cana-810	456	15	,	,	PUNCT
cana-810	456	16	t.	t.	PROPN
cana-810	456	17	stalin	stalin	PROPN
cana-810	456	18	,	,	PUNCT
cana-810	456	19	and	and	CCONJ
cana-810	456	20	s.	s.	PROPN
cana-810	456	21	kumar	kumar	PROPN
cana-810	456	22	dayalan	dayalan	PROPN
cana-810	456	23	.	.	PUNCT
cana-810	456	24	,	,	PUNCT
cana-810	456	25	“	"	PUNCT
cana-810	456	26	mathematical	mathematical	ADJ
cana-810	456	27	analysis	analysis	NOUN
cana-810	456	28	of	of	ADP
cana-810	456	29	control	control	NOUN
cana-810	456	30	strategies	strategy	NOUN
cana-810	456	31	and	and	CCONJ
cana-810	456	32	stability	stability	NOUN
cana-810	456	33	in	in	ADP
cana-810	456	34	feminine	feminine	ADJ
cana-810	456	35	aedes	aedes	PROPN
cana-810	456	36	aegypti	aegypti	VERB
cana-810	456	37	,	,	PUNCT
cana-810	456	38	”	"	PUNCT
cana-810	456	39	j.	j.	PROPN
cana-810	456	40	asiat	asiat	PROPN
cana-810	456	41	.	.	PUNCT
cana-810	457	1	soc	soc	PROPN
cana-810	457	2	.	.	PUNCT
cana-810	458	1	mumbai	mumbai	PROPN
cana-810	458	2	96(32	96(32	NUM
cana-810	458	3	)	)	PUNCT
cana-810	458	4	,	,	PUNCT
cana-810	458	5	115	115	NUM
cana-810	458	6	–	–	PUNCT
cana-810	458	7	1252023	1252023	NUM
cana-810	458	8	.	.	PUNCT
cana-810	459	1	[	[	X
cana-810	459	2	32	32	NUM
cana-810	459	3	]	]	PUNCT
cana-810	459	4	k.	k.	PROPN
cana-810	459	5	garg	garg	PROPN
cana-810	459	6	and	and	CCONJ
cana-810	459	7	j.	j.	PROPN
cana-810	459	8	k.	k.	PROPN
cana-810	459	9	karahyla	karahyla	PROPN
cana-810	459	10	,	,	PUNCT
cana-810	459	11	“	"	PUNCT
cana-810	459	12	association	association	NOUN
cana-810	459	13	between	between	ADP
cana-810	459	14	tuberculosis	tuberculosis	NOUN
cana-810	459	15	and	and	CCONJ
cana-810	459	16	bronchial	bronchial	ADJ
cana-810	459	17	asthma	asthma	NOUN
cana-810	459	18	,	,	PUNCT
cana-810	459	19	”	"	PUNCT
cana-810	459	20	international	international	ADJ
cana-810	459	21	journal	journal	NOUN
cana-810	459	22	of	of	ADP
cana-810	459	23	research	research	NOUN
cana-810	459	24	in	in	ADP
cana-810	459	25	medical	medical	ADJ
cana-810	459	26	sciences,5(8),3566–35692017	sciences,5(8),3566–35692017	NOUN
cana-810	459	27	.	.	PUNCT
cana-810	460	1	[	[	X
cana-810	460	2	33	33	NUM
cana-810	460	3	]	]	PUNCT
cana-810	460	4	z.	z.	PROPN
cana-810	460	5	feng	feng	PROPN
cana-810	460	6	,	,	PUNCT
cana-810	460	7	m.iannelli	m.iannelli	ADV
cana-810	460	8	,	,	PUNCT
cana-810	460	9	and	and	CCONJ
cana-810	460	10	f.	f.	PROPN
cana-810	460	11	milner	milner	PROPN
cana-810	460	12	.	.	PUNCT
cana-810	461	1	a	a	DET
cana-810	461	2	two	two	NUM
cana-810	461	3	-	-	PUNCT
cana-810	461	4	strain	strain	NOUN
cana-810	461	5	tb	tb	ADP
cana-810	461	6	model	model	NOUN
cana-810	461	7	with	with	ADP
cana-810	461	8	age	age	NOUN
cana-810	461	9	-	-	PUNCT
cana-810	461	10	structure	structure	NOUN
cana-810	461	11	,	,	PUNCT
cana-810	461	12	siam	siam	PROPN
cana-810	461	13	j.	j.	PROPN
cana-810	461	14	applied	applied	PROPN
cana-810	461	15	mathematics	mathematic	NOUN
cana-810	461	16	.	.	PUNCT
cana-810	461	17	,	,	PUNCT
cana-810	461	18	62(5):1634–1656	62(5):1634–1656	PROPN
cana-810	461	19	,	,	PUNCT
cana-810	461	20	2002	2002	NUM
cana-810	461	21	.	.	PUNCT
cana-810	462	1	[	[	X
cana-810	462	2	34	34	NUM
cana-810	462	3	]	]	X
cana-810	462	4	r.	r.	PROPN
cana-810	462	5	w.	w.	PROPN
cana-810	462	6	tanjung	tanjung	PROPN
cana-810	462	7	,	,	PUNCT
cana-810	462	8	muhafzan	muhafzan	NOUN
cana-810	462	9	,	,	PUNCT
cana-810	462	10	and	and	CCONJ
cana-810	462	11	zulakmal	zulakmal	NOUN
cana-810	462	12	,	,	PUNCT
cana-810	462	13	“	"	PUNCT
cana-810	462	14	model	model	NOUN
cana-810	462	15	penyebaran	penyebaran	NOUN
cana-810	462	16	penaykit	penaykit	PROPN
cana-810	462	17	tuberkulosis	tuberkulosis	PROPN
cana-810	462	18	dengan	dengan	PROPN
cana-810	462	19	kontrol	kontrol	PROPN
cana-810	462	20	vaksinasi	vaksinasi	PROPN
cana-810	462	21	,	,	PUNCT
cana-810	462	22	”	"	PUNCT
cana-810	462	23	jurnal	jurnal	ADJ
cana-810	462	24	matematikaunand	matematikaunand	PROPN
cana-810	462	25	.	.	PUNCT
cana-810	462	26	10(3	10(3	NUM
cana-810	462	27	)	)	PUNCT
cana-810	462	28	,	,	PUNCT
cana-810	462	29	280–287	280–287	NUM
cana-810	462	30	2021	2021	NUM
cana-810	462	31	.	.	PUNCT
cana-810	463	1	[	[	X
cana-810	463	2	35	35	NUM
cana-810	463	3	]	]	PUNCT
cana-810	463	4	m.	m.	NOUN
cana-810	463	5	ronoh	ronoh	PROPN
cana-810	463	6	,	,	PUNCT
cana-810	463	7	r.	r.	PROPN
cana-810	463	8	jaroudi	jaroudi	PROPN
cana-810	463	9	,	,	PUNCT
cana-810	463	10	p.	p.	PROPN
cana-810	463	11	fotso	fotso	PROPN
cana-810	463	12	,	,	PUNCT
cana-810	463	13	v.	v.	ADP
cana-810	463	14	kamdoum	kamdoum	PROPN
cana-810	463	15	,	,	PUNCT
cana-810	463	16	n.	n.	PROPN
cana-810	463	17	matendechere	matendechere	PROPN
cana-810	463	18	,	,	PUNCT
cana-810	463	19	j.	j.	PROPN
cana-810	463	20	wairimu	wairimu	PROPN
cana-810	463	21	,	,	PUNCT
cana-810	463	22	r.	r.	PROPN
cana-810	463	23	auma	auma	PROPN
cana-810	463	24	,	,	PUNCT
cana-810	463	25	and	and	CCONJ
cana-810	463	26	j.	j.	PROPN
cana-810	463	27	lugoye	lugoye	PROPN
cana-810	463	28	,	,	PUNCT
cana-810	463	29	“	"	PUNCT
cana-810	463	30	a	a	DET
cana-810	463	31	mathematical	mathematical	ADJ
cana-810	463	32	model	model	NOUN
cana-810	463	33	of	of	ADP
cana-810	463	34	tuberculosis	tuberculosis	NOUN
cana-810	463	35	with	with	ADP
cana-810	463	36	drug	drug	NOUN
cana-810	463	37	resistance	resistance	NOUN
cana-810	463	38	effects	effect	NOUN
cana-810	463	39	,	,	PUNCT
cana-810	463	40	”	"	PUNCT
cana-810	463	41	applied	apply	VERB
cana-810	463	42	mathematics	mathematic	NOUN
cana-810	463	43	.	.	PUNCT
cana-810	464	1	7(12	7(12	NUM
cana-810	464	2	)	)	PUNCT
cana-810	465	1	,	,	PUNCT
cana-810	465	2	1303–1316	1303–1316	NUM
cana-810	465	3	2016	2016	NUM
cana-810	465	4	.	.	PUNCT
cana-810	466	1	[	[	X
cana-810	466	2	36	36	NUM
cana-810	466	3	]	]	PUNCT
cana-810	466	4	m.	m.	NOUN
cana-810	466	5	murray	murray	PROPN
cana-810	466	6	,	,	PUNCT
cana-810	466	7	“	"	PUNCT
cana-810	466	8	on	on	ADP
cana-810	466	9	modelling	model	VERB
cana-810	466	10	epidemic	epidemic	NOUN
cana-810	466	11	of	of	ADP
cana-810	466	12	modelling	model	VERB
cana-810	466	13	resistant	resistant	ADJ
cana-810	466	14	m.	m.	NOUN
cana-810	466	15	tuberculosis	tuberculosis	NOUN
cana-810	466	16	of	of	ADP
cana-810	466	17	heterogeneous	heterogeneous	ADJ
cana-810	466	18	fitness,”nature	fitness,”nature	ADJ
cana-810	466	19	medicine	medicine	NOUN
cana-810	466	20	.	.	PUNCT
cana-810	467	1	10(10	10(10	NUM
cana-810	467	2	)	)	PUNCT
cana-810	467	3	,	,	PUNCT
cana-810	467	4	1117	1117	NUM
cana-810	467	5	-	-	SYM
cana-810	467	6	1121	1121	NUM
cana-810	467	7	2002	2002	NUM
cana-810	467	8	.	.	PUNCT
cana-810	468	1	communications	communication	NOUN
cana-810	468	2	on	on	ADP
cana-810	468	3	applied	apply	VERB
cana-810	468	4	nonlinear	nonlinear	ADJ
cana-810	468	5	analysis	analysis	NOUN
cana-810	468	6	issn	issn	NOUN
cana-810	468	7	:	:	PUNCT
cana-810	468	8	1074	1074	NUM
cana-810	468	9	-	-	PUNCT
cana-810	468	10	133x	133x	NUM
cana-810	468	11	vol	vol	NOUN
cana-810	468	12	31	31	NUM
cana-810	468	13	no	no	NOUN
cana-810	468	14	.	.	PUNCT
cana-810	469	1	3s	3s	NUM
cana-810	469	2	(	(	PUNCT
cana-810	469	3	2024	2024	NUM
cana-810	469	4	)	)	PUNCT
cana-810	469	5	579	579	NUM
cana-810	470	1	https://internationalpubls.co	https://internationalpubls.co	PROPN
cana-810	470	2	m	m	NOUN
cana-810	470	3	[	[	X
cana-810	470	4	37	37	NUM
cana-810	470	5	]	]	X
cana-810	470	6	b.	b.	PROPN
cana-810	470	7	beresford	beresford	PROPN
cana-810	470	8	and	and	CCONJ
cana-810	470	9	j.	j.	PROPN
cana-810	470	10	sadoff	sadoff	PROPN
cana-810	470	11	,	,	PUNCT
cana-810	470	12	“	"	PUNCT
cana-810	470	13	update	update	NOUN
cana-810	470	14	on	on	ADP
cana-810	470	15	research	research	NOUN
cana-810	470	16	and	and	CCONJ
cana-810	470	17	development	development	NOUN
cana-810	470	18	pipeline	pipeline	NOUN
cana-810	470	19	:	:	PUNCT
cana-810	470	20	tuberculosis	tuberculosis	NOUN
cana-810	470	21	vaccines	vaccine	NOUN
cana-810	470	22	,	,	PUNCT
cana-810	470	23	”	"	PUNCT
cana-810	470	24	clinical	clinical	ADJ
cana-810	470	25	infectious	infectious	ADJ
cana-810	470	26	diseases	disease	NOUN
cana-810	470	27	.	.	PUNCT
cana-810	471	1	50(3	50(3	X
cana-810	471	2	)	)	PUNCT
cana-810	471	3	,	,	PUNCT
cana-810	471	4	178–183	178–183	NUM
cana-810	471	5	2010	2010	NUM
cana-810	471	6	.	.	PUNCT
cana-810	472	1	[	[	X
cana-810	472	2	38	38	NUM
cana-810	472	3	]	]	PUNCT
cana-810	472	4	r.	r.	PROPN
cana-810	472	5	timothy	timothy	PROPN
cana-810	472	6	r	r	PROPN
cana-810	472	7	,	,	PUNCT
cana-810	472	8	s.	s.	PROPN
cana-810	472	9	rachel	rachel	PROPN
cana-810	472	10	,	,	PUNCT
cana-810	472	11	h.	h.	PROPN
cana-810	472	12	david	david	PROPN
cana-810	472	13	,	,	PUNCT
cana-810	472	14	“	"	PUNCT
cana-810	472	15	dynamic	dynamic	ADJ
cana-810	472	16	and	and	CCONJ
cana-810	472	17	game	game	NOUN
cana-810	472	18	theory	theory	NOUN
cana-810	472	19	of	of	ADP
cana-810	472	20	infectious	infectious	ADJ
cana-810	472	21	disease	disease	NOUN
cana-810	472	22	stigmas	stigma	NOUN
cana-810	472	23	,	,	PUNCT
cana-810	472	24	”	"	PUNCT
cana-810	472	25	j	j	PROPN
cana-810	472	26	theor	theor	PROPN
cana-810	472	27	biol	biol	PROPN
cana-810	472	28	.	.	PUNCT
cana-810	473	1	476	476	NUM
cana-810	473	2	,	,	PUNCT
cana-810	473	3	95–107	95–107	NUM
cana-810	473	4	2019	2019	NUM
cana-810	473	5	.	.	PUNCT