id	sid	tid	token	lemma	pos
cana-2871	1	1	communications	communication	NOUN
cana-2871	1	2	on	on	ADP
cana-2871	1	3	applied	apply	VERB
cana-2871	1	4	nonlinear	nonlinear	ADJ
cana-2871	1	5	analysis	analysis	NOUN
cana-2871	1	6	issn	issn	NOUN
cana-2871	1	7	:	:	PUNCT
cana-2871	1	8	1074	1074	NUM
cana-2871	1	9	-	-	PUNCT
cana-2871	1	10	133x	133x	NUM
cana-2871	1	11	vol	vol	NOUN
cana-2871	1	12	32	32	NUM
cana-2871	1	13	no	no	NOUN
cana-2871	1	14	.	.	PUNCT
cana-2871	2	1	4s	4s	NUM
cana-2871	2	2	(	(	PUNCT
cana-2871	2	3	2025	2025	NUM
cana-2871	2	4	)	)	PUNCT
cana-2871	2	5	552	552	NUM
cana-2871	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	2	7	analyzing	analyze	VERB
cana-2871	2	8	the	the	DET
cana-2871	2	9	dynamics	dynamic	NOUN
cana-2871	2	10	of	of	ADP
cana-2871	2	11	hiv	hiv	PROPN
cana-2871	2	12	/	/	SYM
cana-2871	2	13	aids	aids	PROPN
cana-2871	2	14	phobia	phobia	NOUN
cana-2871	2	15	with	with	ADP
cana-2871	2	16	stability	stability	NOUN
cana-2871	2	17	and	and	CCONJ
cana-2871	2	18	awareness	awareness	NOUN
cana-2871	2	19	strategies	strategy	NOUN
cana-2871	2	20	1	1	NUM
cana-2871	2	21	naresh	naresh	PROPN
cana-2871	2	22	kumar	kumar	PROPN
cana-2871	2	23	jothi	jothi	PROPN
cana-2871	2	24	,	,	PUNCT
cana-2871	2	25	2	2	NUM
cana-2871	2	26	vadivelu	vadivelu	NOUN
cana-2871	2	27	.	.	PUNCT
cana-2871	3	1	v	v	ADP
cana-2871	3	2	,	,	PUNCT
cana-2871	3	3	3	3	NUM
cana-2871	3	4	deepa	deepa	NOUN
cana-2871	3	5	.	.	PUNCT
cana-2871	4	1	s	s	X
cana-2871	4	2	,	,	PUNCT
cana-2871	4	3	4	4	NUM
cana-2871	4	4	vivekanandan	vivekanandan	NOUN
cana-2871	4	5	.	.	PUNCT
cana-2871	5	1	t	t	PROPN
cana-2871	5	2	,	,	PUNCT
cana-2871	5	3	and	and	CCONJ
cana-2871	5	4	5	5	NUM
cana-2871	5	5	ramkumar	ramkumar	NOUN
cana-2871	5	6	.	.	PUNCT
cana-2871	6	1	c	c	PROPN
cana-2871	6	2	1	1	NUM
cana-2871	6	3	,	,	PUNCT
cana-2871	6	4	2	2	NUM
cana-2871	6	5	department	department	NOUN
cana-2871	6	6	of	of	ADP
cana-2871	6	7	mathematics	mathematic	NOUN
cana-2871	6	8	,	,	PUNCT
cana-2871	6	9	vel	vel	ADJ
cana-2871	6	10	tech	tech	NOUN
cana-2871	6	11	rangarajan	rangarajan	NOUN
cana-2871	6	12	dr.sagunthala	dr.sagunthala	NOUN
cana-2871	6	13	,	,	PUNCT
cana-2871	6	14	r&d	r&d	NOUN
cana-2871	6	15	institute	institute	NOUN
cana-2871	6	16	of	of	ADP
cana-2871	6	17	science	science	NOUN
cana-2871	6	18	and	and	CCONJ
cana-2871	6	19	technology	technology	NOUN
cana-2871	6	20	,	,	PUNCT
cana-2871	6	21	avadi	avadi	NOUN
cana-2871	6	22	,	,	PUNCT
cana-2871	6	23	chennai	chennai	NOUN
cana-2871	6	24	,	,	PUNCT
cana-2871	6	25	tamilnadu	tamilnadu	NOUN
cana-2871	6	26	,	,	PUNCT
cana-2871	6	27	india	india	PROPN
cana-2871	6	28	.	.	PROPN
cana-2871	6	29	3	3	NUM
cana-2871	6	30	department	department	NOUN
cana-2871	6	31	of	of	ADP
cana-2871	6	32	mathematics	mathematic	NOUN
cana-2871	6	33	,	,	PUNCT
cana-2871	6	34	vel	vel	ADJ
cana-2871	6	35	tech	tech	NOUN
cana-2871	6	36	high	high	ADJ
cana-2871	6	37	tech	tech	NOUN
cana-2871	6	38	dr.rangarajan	dr.rangarajan	NOUN
cana-2871	6	39	dr.sakunthala	dr.sakunthala	NOUN
cana-2871	6	40	,	,	PUNCT
cana-2871	6	41	engineering	engineering	NOUN
cana-2871	6	42	college	college	NOUN
cana-2871	6	43	,	,	PUNCT
cana-2871	6	44	avadi	avadi	NOUN
cana-2871	6	45	,	,	PUNCT
cana-2871	6	46	chennai	chennai	PROPN
cana-2871	6	47	,	,	PUNCT
cana-2871	6	48	tamil	tamil	PROPN
cana-2871	6	49	nadu	nadu	PROPN
cana-2871	6	50	,	,	PUNCT
cana-2871	6	51	india	india	PROPN
cana-2871	6	52	4department	4department	NUM
cana-2871	6	53	of	of	ADP
cana-2871	6	54	mathematics	mathematic	NOUN
cana-2871	6	55	,	,	PUNCT
cana-2871	6	56	vel	vel	ADJ
cana-2871	6	57	tech	tech	NOUN
cana-2871	6	58	multi	multi	NOUN
cana-2871	6	59	tech	tech	PROPN
cana-2871	6	60	dr.rangarajan	dr.rangarajan	PROPN
cana-2871	6	61	dr.sakunthala	dr.sakunthala	NOUN
cana-2871	6	62	,	,	PUNCT
cana-2871	6	63	engineering	engineering	NOUN
cana-2871	6	64	college	college	NOUN
cana-2871	6	65	,	,	PUNCT
cana-2871	6	66	avadi	avadi	NOUN
cana-2871	6	67	,	,	PUNCT
cana-2871	6	68	chennai	chennai	PROPN
cana-2871	6	69	,	,	PUNCT
cana-2871	6	70	tamil	tamil	PROPN
cana-2871	6	71	nadu	nadu	PROPN
cana-2871	6	72	,	,	PUNCT
cana-2871	6	73	india	india	PROPN
cana-2871	6	74	5	5	NUM
cana-2871	6	75	department	department	NOUN
cana-2871	6	76	of	of	ADP
cana-2871	6	77	mathematics	mathematics	PROPN
cana-2871	6	78	,	,	PUNCT
cana-2871	6	79	bharath	bharath	PROPN
cana-2871	6	80	institute	institute	PROPN
cana-2871	6	81	of	of	ADP
cana-2871	6	82	higher	high	ADJ
cana-2871	6	83	education	education	NOUN
cana-2871	6	84	and	and	CCONJ
cana-2871	6	85	research	research	NOUN
cana-2871	6	86	,	,	PUNCT
cana-2871	6	87	selaiyur	selaiyur	PROPN
cana-2871	6	88	,	,	PUNCT
cana-2871	6	89	chennai	chennai	PROPN
cana-2871	6	90	,	,	PUNCT
cana-2871	6	91	tamilnadu	tamilnadu	NOUN
cana-2871	6	92	,	,	PUNCT
cana-2871	6	93	india	india	PROPN
cana-2871	6	94	1nareshsastra@yahoo.co.in	1nareshsastra@yahoo.co.in	NUM
cana-2871	6	95	,	,	PUNCT
cana-2871	6	96	2shrivadivelu@gmail.com	2shrivadivelu@gmail.com	PROPN
cana-2871	6	97	,	,	PUNCT
cana-2871	6	98	3vsadeepa7682@gmail.com	3vsadeepa7682@gmail.com	NUM
cana-2871	6	99	,	,	PUNCT
cana-2871	6	100	4mtvivek2017@gmail.com	4mtvivek2017@gmail.com	NUM
cana-2871	6	101	,	,	PUNCT
cana-2871	6	102	5scpram@gmail.com	5scpram@gmail.com	NUM
cana-2871	6	103	1	1	NUM
cana-2871	6	104	.	.	PUNCT
cana-2871	7	1	introduction	introduction	NOUN
cana-2871	7	2	:	:	PUNCT
cana-2871	7	3	many	many	ADJ
cana-2871	7	4	people	people	NOUN
cana-2871	7	5	are	be	AUX
cana-2871	7	6	afraid	afraid	ADJ
cana-2871	7	7	of	of	ADP
cana-2871	7	8	"	"	PUNCT
cana-2871	7	9	cancer	cancer	NOUN
cana-2871	7	10	"	"	PUNCT
cana-2871	7	11	and	and	CCONJ
cana-2871	7	12	"	"	PUNCT
cana-2871	7	13	aids	aid	NOUN
cana-2871	7	14	.	.	PUNCT
cana-2871	7	15	"	"	PUNCT
cana-2871	8	1	even	even	ADV
cana-2871	8	2	if	if	SCONJ
cana-2871	8	3	those	those	DET
cana-2871	8	4	worries	worry	NOUN
cana-2871	8	5	could	could	AUX
cana-2871	8	6	be	be	AUX
cana-2871	8	7	quite	quite	ADV
cana-2871	8	8	reasonable	reasonable	ADJ
cana-2871	8	9	,	,	PUNCT
cana-2871	8	10	what	what	PRON
cana-2871	8	11	would	would	AUX
cana-2871	8	12	happen	happen	VERB
cana-2871	8	13	if	if	SCONJ
cana-2871	8	14	they	they	PRON
cana-2871	8	15	started	start	VERB
cana-2871	8	16	to	to	PART
cana-2871	8	17	rule	rule	VERB
cana-2871	8	18	your	your	PRON
cana-2871	8	19	life	life	NOUN
cana-2871	8	20	?	?	PUNCT
cana-2871	9	1	"	"	PUNCT
cana-2871	9	2	hiv	hiv	PROPN
cana-2871	9	3	phobia	phobia	NOUN
cana-2871	9	4	is	be	AUX
cana-2871	9	5	an	an	DET
cana-2871	9	6	extreme	extreme	ADJ
cana-2871	9	7	fear	fear	NOUN
cana-2871	9	8	of	of	ADP
cana-2871	9	9	contracting	contract	VERB
cana-2871	9	10	hiv	hiv	PROPN
cana-2871	9	11	.	.	PUNCT
cana-2871	9	12	"	"	PUNCT
cana-2871	10	1	especially	especially	ADV
cana-2871	10	2	the	the	DET
cana-2871	10	3	anxiety	anxiety	NOUN
cana-2871	10	4	of	of	ADP
cana-2871	10	5	getting	getting	AUX
cana-2871	10	6	infected	infect	VERB
cana-2871	10	7	with	with	ADP
cana-2871	10	8	the	the	DET
cana-2871	10	9	virus	virus	NOUN
cana-2871	10	10	,	,	PUNCT
cana-2871	10	11	even	even	ADV
cana-2871	10	12	if	if	SCONJ
cana-2871	10	13	your	your	PRON
cana-2871	10	14	risk	risk	NOUN
cana-2871	10	15	is	be	AUX
cana-2871	10	16	relatively	relatively	ADV
cana-2871	10	17	minimal	minimal	ADJ
cana-2871	10	18	.	.	PUNCT
cana-2871	11	1	put	put	VERB
cana-2871	11	2	differently	differently	ADV
cana-2871	11	3	,	,	PUNCT
cana-2871	11	4	the	the	DET
cana-2871	11	5	worry	worry	NOUN
cana-2871	11	6	is	be	AUX
cana-2871	11	7	excessive	excessive	ADJ
cana-2871	11	8	and	and	CCONJ
cana-2871	11	9	unfounded	unfounded	ADJ
cana-2871	11	10	.	.	PUNCT
cana-2871	12	1	before	before	SCONJ
cana-2871	12	2	very	very	ADV
cana-2871	12	3	effective	effective	ADJ
cana-2871	12	4	antiretroviral	antiretroviral	ADJ
cana-2871	12	5	medication	medication	NOUN
cana-2871	12	6	was	be	AUX
cana-2871	12	7	available	available	ADJ
cana-2871	12	8	,	,	PUNCT
cana-2871	12	9	in	in	ADP
cana-2871	12	10	the	the	DET
cana-2871	12	11	1980s	1980	NOUN
cana-2871	12	12	and	and	CCONJ
cana-2871	12	13	1990s	1990s	NUM
cana-2871	12	14	,	,	PUNCT
cana-2871	12	15	there	there	PRON
cana-2871	12	16	was	be	VERB
cana-2871	12	17	a	a	DET
cana-2871	12	18	lot	lot	NOUN
cana-2871	12	19	of	of	ADP
cana-2871	12	20	documentation	documentation	NOUN
cana-2871	12	21	and	and	CCONJ
cana-2871	12	22	description	description	NOUN
cana-2871	12	23	of	of	ADP
cana-2871	12	24	aids	aids	PROPN
cana-2871	12	25	phobia	phobia	PROPN
cana-2871	12	26	.	.	PUNCT
cana-2871	13	1	these	these	DET
cana-2871	13	2	kinds	kind	NOUN
cana-2871	13	3	of	of	ADP
cana-2871	13	4	phobias	phobia	NOUN
cana-2871	13	5	are	be	AUX
cana-2871	13	6	not	not	PART
cana-2871	13	7	well	well	ADV
cana-2871	13	8	known	know	VERB
cana-2871	13	9	in	in	ADP
cana-2871	13	10	human	human	ADJ
cana-2871	13	11	behaviour	behaviour	NOUN
cana-2871	13	12	.	.	PUNCT
cana-2871	14	1	according	accord	VERB
cana-2871	14	2	to	to	ADP
cana-2871	14	3	some	some	DET
cana-2871	14	4	mental	mental	ADJ
cana-2871	14	5	health	health	NOUN
cana-2871	14	6	article	article	NOUN
cana-2871	14	7	history	history	NOUN
cana-2871	14	8	:	:	PUNCT
cana-2871	14	9	received	receive	VERB
cana-2871	14	10	:	:	PUNCT
cana-2871	14	11	01	01	NUM
cana-2871	14	12	-	-	SYM
cana-2871	14	13	10	10	NUM
cana-2871	14	14	-	-	PUNCT
cana-2871	14	15	2024	2024	NUM
cana-2871	14	16	revised	revise	VERB
cana-2871	14	17	:	:	PUNCT
cana-2871	14	18	29	29	NUM
cana-2871	14	19	-	-	SYM
cana-2871	14	20	11	11	NUM
cana-2871	14	21	-	-	PUNCT
cana-2871	14	22	2024	2024	NUM
cana-2871	14	23	accepted	accept	VERB
cana-2871	14	24	:	:	PUNCT
cana-2871	14	25	07	07	NUM
cana-2871	14	26	-	-	SYM
cana-2871	14	27	12	12	NUM
cana-2871	14	28	-	-	PUNCT
cana-2871	14	29	2024	2024	NUM
cana-2871	14	30	abstract	abstract	NOUN
cana-2871	14	31	:	:	PUNCT
cana-2871	14	32	one	one	NUM
cana-2871	14	33	of	of	ADP
cana-2871	14	34	the	the	DET
cana-2871	14	35	risks	risk	NOUN
cana-2871	14	36	to	to	ADP
cana-2871	14	37	global	global	ADJ
cana-2871	14	38	health	health	NOUN
cana-2871	14	39	is	be	AUX
cana-2871	14	40	sexually	sexually	ADV
cana-2871	14	41	transmitted	transmit	VERB
cana-2871	14	42	diseases	disease	NOUN
cana-2871	14	43	(	(	PUNCT
cana-2871	14	44	stds	stds	NOUN
cana-2871	14	45	)	)	PUNCT
cana-2871	14	46	.	.	PUNCT
cana-2871	15	1	usually	usually	ADV
cana-2871	15	2	,	,	PUNCT
cana-2871	15	3	diseases	disease	NOUN
cana-2871	15	4	do	do	AUX
cana-2871	15	5	not	not	PART
cana-2871	15	6	cause	cause	VERB
cana-2871	15	7	death	death	NOUN
cana-2871	15	8	,	,	PUNCT
cana-2871	15	9	but	but	CCONJ
cana-2871	15	10	50	50	NUM
cana-2871	15	11	%	%	NOUN
cana-2871	15	12	of	of	ADP
cana-2871	15	13	deaths	death	NOUN
cana-2871	15	14	are	be	AUX
cana-2871	15	15	caused	cause	VERB
cana-2871	15	16	by	by	ADP
cana-2871	15	17	fear	fear	NOUN
cana-2871	15	18	of	of	ADP
cana-2871	15	19	disease	disease	NOUN
cana-2871	15	20	.	.	PUNCT
cana-2871	16	1	this	this	PRON
cana-2871	16	2	causes	cause	VERB
cana-2871	16	3	policymakers	policymaker	NOUN
cana-2871	16	4	and	and	CCONJ
cana-2871	16	5	experts	expert	NOUN
cana-2871	16	6	studying	study	VERB
cana-2871	16	7	diseases	disease	NOUN
cana-2871	16	8	to	to	PART
cana-2871	16	9	become	become	VERB
cana-2871	16	10	increasingly	increasingly	ADV
cana-2871	16	11	concerned	concern	VERB
cana-2871	16	12	.	.	PUNCT
cana-2871	17	1	in	in	ADP
cana-2871	17	2	this	this	DET
cana-2871	17	3	section	section	NOUN
cana-2871	17	4	we	we	PRON
cana-2871	17	5	discuss	discuss	VERB
cana-2871	17	6	about	about	ADP
cana-2871	17	7	hiv	hiv	PROPN
cana-2871	17	8	/	/	SYM
cana-2871	17	9	aids	aids	PROPN
cana-2871	17	10	phobia	phobia	PROPN
cana-2871	17	11	,	,	PUNCT
cana-2871	17	12	a	a	DET
cana-2871	17	13	particular	particular	ADJ
cana-2871	17	14	type	type	NOUN
cana-2871	17	15	of	of	ADP
cana-2871	17	16	nosophobia	nosophobia	NOUN
cana-2871	17	17	is	be	AUX
cana-2871	17	18	an	an	DET
cana-2871	17	19	excessive	excessive	ADJ
cana-2871	17	20	and	and	CCONJ
cana-2871	17	21	illogical	illogical	ADJ
cana-2871	17	22	dread	dread	NOUN
cana-2871	17	23	of	of	ADP
cana-2871	17	24	contracting	contract	VERB
cana-2871	17	25	hiv	hiv	PROPN
cana-2871	17	26	/	/	SYM
cana-2871	17	27	aids	aids	PROPN
cana-2871	17	28	.	.	PUNCT
cana-2871	18	1	it	it	PRON
cana-2871	18	2	is	be	AUX
cana-2871	18	3	still	still	ADV
cana-2871	18	4	a	a	DET
cana-2871	18	5	major	major	ADJ
cana-2871	18	6	global	global	ADJ
cana-2871	18	7	health	health	NOUN
cana-2871	18	8	concern	concern	NOUN
cana-2871	18	9	due	due	ADP
cana-2871	18	10	to	to	ADP
cana-2871	18	11	its	its	PRON
cana-2871	18	12	high	high	ADJ
cana-2871	18	13	death	death	NOUN
cana-2871	18	14	rate	rate	NOUN
cana-2871	18	15	,	,	PUNCT
cana-2871	18	16	and	and	CCONJ
cana-2871	18	17	in	in	ADP
cana-2871	18	18	most	most	ADJ
cana-2871	18	19	african	african	ADJ
cana-2871	18	20	nations	nation	NOUN
cana-2871	18	21	as	as	ADV
cana-2871	18	22	well	well	ADV
cana-2871	18	23	as	as	ADP
cana-2871	18	24	other	other	ADJ
cana-2871	18	25	places	place	NOUN
cana-2871	18	26	,	,	PUNCT
cana-2871	18	27	it	it	PRON
cana-2871	18	28	is	be	AUX
cana-2871	18	29	the	the	DET
cana-2871	18	30	main	main	ADJ
cana-2871	18	31	source	source	NOUN
cana-2871	18	32	of	of	ADP
cana-2871	18	33	hiv	hiv	PROPN
cana-2871	18	34	/	/	SYM
cana-2871	18	35	aids	aids	PROPN
cana-2871	18	36	anxiety	anxiety	NOUN
cana-2871	18	37	.	.	PUNCT
cana-2871	19	1	we	we	PRON
cana-2871	19	2	develop	develop	VERB
cana-2871	19	3	a	a	DET
cana-2871	19	4	five	five	NUM
cana-2871	19	5	-	-	PUNCT
cana-2871	19	6	component	component	NOUN
cana-2871	19	7	deterministic	deterministic	ADJ
cana-2871	19	8	model	model	NOUN
cana-2871	19	9	to	to	PART
cana-2871	19	10	examine	examine	VERB
cana-2871	19	11	how	how	SCONJ
cana-2871	19	12	phobia	phobia	NOUN
cana-2871	19	13	affects	affect	VERB
cana-2871	19	14	hiv	hiv	PROPN
cana-2871	19	15	/	/	SYM
cana-2871	19	16	aids	aids	PROPN
cana-2871	19	17	dynamics	dynamic	NOUN
cana-2871	19	18	within	within	ADP
cana-2871	19	19	a	a	DET
cana-2871	19	20	particular	particular	ADJ
cana-2871	19	21	population	population	NOUN
cana-2871	19	22	.	.	PUNCT
cana-2871	20	1	the	the	DET
cana-2871	20	2	system	system	NOUN
cana-2871	20	3	's	's	PART
cana-2871	20	4	hiv	hiv	PROPN
cana-2871	20	5	/	/	SYM
cana-2871	20	6	aids	aids	PROPN
cana-2871	20	7	-	-	PUNCT
cana-2871	20	8	free	free	ADJ
cana-2871	20	9	equilibrium	equilibrium	NOUN
cana-2871	20	10	is	be	AUX
cana-2871	20	11	considered	consider	VERB
cana-2871	20	12	asymptotically	asymptotically	ADV
cana-2871	20	13	stable	stable	ADJ
cana-2871	20	14	when	when	SCONJ
cana-2871	20	15	the	the	DET
cana-2871	20	16	effective	effective	ADJ
cana-2871	20	17	reproduction	reproduction	NOUN
cana-2871	20	18	number	number	NOUN
cana-2871	20	19	ℜ0	ℜ0	ADV
cana-2871	20	20	<	<	X
cana-2871	20	21	1	1	NUM
cana-2871	20	22	,	,	PUNCT
cana-2871	20	23	and	and	CCONJ
cana-2871	20	24	unstable	unstable	ADJ
cana-2871	20	25	in	in	ADP
cana-2871	20	26	other	other	ADJ
cana-2871	20	27	cases	case	NOUN
cana-2871	20	28	.	.	PUNCT
cana-2871	21	1	additionally	additionally	ADV
cana-2871	21	2	,	,	PUNCT
cana-2871	21	3	we	we	PRON
cana-2871	21	4	used	use	VERB
cana-2871	21	5	to	to	PART
cana-2871	21	6	investigate	investigate	VERB
cana-2871	21	7	the	the	DET
cana-2871	21	8	endemic	endemic	ADJ
cana-2871	21	9	equilibrium	equilibrium	NOUN
cana-2871	21	10	's	's	PART
cana-2871	21	11	stability	stability	NOUN
cana-2871	21	12	by	by	ADP
cana-2871	21	13	using	use	VERB
cana-2871	21	14	the	the	DET
cana-2871	21	15	lyapunov	lyapunov	ADJ
cana-2871	21	16	function	function	NOUN
cana-2871	21	17	,	,	PUNCT
cana-2871	21	18	positivity	positivity	NOUN
cana-2871	21	19	,	,	PUNCT
cana-2871	21	20	boundedness	boundedness	NOUN
cana-2871	21	21	,	,	PUNCT
cana-2871	21	22	lipschitz	lipschitz	NOUN
cana-2871	21	23	condition	condition	NOUN
cana-2871	21	24	,	,	PUNCT
cana-2871	21	25	and	and	CCONJ
cana-2871	21	26	the	the	DET
cana-2871	21	27	conditions	condition	NOUN
cana-2871	21	28	for	for	ADP
cana-2871	21	29	the	the	DET
cana-2871	21	30	existence	existence	NOUN
cana-2871	21	31	of	of	ADP
cana-2871	21	32	uniqueness	uniqueness	NOUN
cana-2871	21	33	are	be	AUX
cana-2871	21	34	discussed	discuss	VERB
cana-2871	21	35	.	.	PUNCT
cana-2871	22	1	the	the	DET
cana-2871	22	2	outcome	outcome	NOUN
cana-2871	22	3	demonstrates	demonstrate	VERB
cana-2871	22	4	that	that	SCONJ
cana-2871	22	5	everyone	everyone	PRON
cana-2871	22	6	must	must	AUX
cana-2871	22	7	have	have	VERB
cana-2871	22	8	awareness	awareness	NOUN
cana-2871	22	9	about	about	ADP
cana-2871	22	10	hiv	hiv	PROPN
cana-2871	22	11	/	/	SYM
cana-2871	22	12	aids	aids	PROPN
cana-2871	22	13	.	.	PUNCT
cana-2871	23	1	unfortunately	unfortunately	ADV
cana-2871	23	2	,	,	PUNCT
cana-2871	23	3	those	those	PRON
cana-2871	23	4	affected	affect	VERB
cana-2871	23	5	with	with	ADP
cana-2871	23	6	hiv	hiv	PROPN
cana-2871	23	7	/	/	SYM
cana-2871	23	8	aids	aids	PROPN
cana-2871	23	9	do	do	AUX
cana-2871	23	10	n’t	not	PART
cana-2871	23	11	fear	fear	VERB
cana-2871	23	12	;	;	PUNCT
cana-2871	23	13	take	take	VERB
cana-2871	23	14	healthy	healthy	ADJ
cana-2871	23	15	food	food	NOUN
cana-2871	23	16	,	,	PUNCT
cana-2871	23	17	and	and	CCONJ
cana-2871	23	18	medicines	medicine	NOUN
cana-2871	23	19	;	;	PUNCT
cana-2871	23	20	and	and	CCONJ
cana-2871	23	21	exercise	exercise	VERB
cana-2871	23	22	regularly	regularly	ADV
cana-2871	23	23	;	;	PUNCT
cana-2871	23	24	the	the	DET
cana-2871	23	25	counselling	counselling	NOUN
cana-2871	23	26	about	about	ADP
cana-2871	23	27	hiv	hiv	PROPN
cana-2871	23	28	/	/	SYM
cana-2871	23	29	aids	aid	NOUN
cana-2871	23	30	will	will	AUX
cana-2871	23	31	prolong	prolong	VERB
cana-2871	23	32	life	life	NOUN
cana-2871	23	33	and	and	CCONJ
cana-2871	23	34	reduce	reduce	VERB
cana-2871	23	35	the	the	DET
cana-2871	23	36	phobia	phobia	NOUN
cana-2871	23	37	of	of	ADP
cana-2871	23	38	hiv	hiv	PROPN
cana-2871	23	39	/	/	SYM
cana-2871	23	40	aids	aids	PROPN
cana-2871	23	41	in	in	ADP
cana-2871	23	42	the	the	DET
cana-2871	23	43	population	population	NOUN
cana-2871	23	44	.	.	PUNCT
cana-2871	24	1	the	the	DET
cana-2871	24	2	hiv	hiv	PROPN
cana-2871	24	3	/	/	SYM
cana-2871	24	4	aids	aids	PROPN
cana-2871	24	5	phobia	phobia	PROPN
cana-2871	24	6	epidemic	epidemic	NOUN
cana-2871	24	7	model	model	NOUN
cana-2871	24	8	is	be	AUX
cana-2871	24	9	analyzed	analyze	VERB
cana-2871	24	10	by	by	ADP
cana-2871	24	11	way	way	NOUN
cana-2871	24	12	of	of	ADP
cana-2871	24	13	matrix	matrix	NOUN
cana-2871	24	14	laboratory	laboratory	NOUN
cana-2871	24	15	.	.	PUNCT
cana-2871	25	1	keywords	keyword	NOUN
cana-2871	25	2	:	:	PUNCT
cana-2871	25	3	epidemic	epidemic	NOUN
cana-2871	25	4	model	model	NOUN
cana-2871	25	5	,	,	PUNCT
cana-2871	25	6	sexually	sexually	ADV
cana-2871	25	7	transmitted	transmit	VERB
cana-2871	25	8	diseases	disease	NOUN
cana-2871	25	9	(	(	PUNCT
cana-2871	25	10	stds	stds	NOUN
cana-2871	25	11	)	)	PUNCT
cana-2871	25	12	,	,	PUNCT
cana-2871	25	13	hiv	hiv	PROPN
cana-2871	25	14	/	/	SYM
cana-2871	25	15	aids	aids	PROPN
cana-2871	25	16	phobia	phobia	PROPN
cana-2871	25	17	,	,	PUNCT
cana-2871	25	18	hiv	hiv	PROPN
cana-2871	25	19	free	free	ADJ
cana-2871	25	20	equilibrium	equilibrium	NOUN
cana-2871	25	21	(	(	PUNCT
cana-2871	25	22	hfe	hfe	PROPN
cana-2871	25	23	)	)	PUNCT
cana-2871	25	24	,	,	PUNCT
cana-2871	25	25	hiv	hiv	PROPN
cana-2871	25	26	endemic	endemic	ADJ
cana-2871	25	27	equilibrium	equilibrium	NOUN
cana-2871	25	28	(	(	PUNCT
cana-2871	25	29	hee	hee	NOUN
cana-2871	25	30	)	)	PUNCT
cana-2871	25	31	,	,	PUNCT
cana-2871	25	32	stability	stability	NOUN
cana-2871	25	33	,	,	PUNCT
cana-2871	25	34	lipschitz	lipschitz	NOUN
cana-2871	25	35	and	and	CCONJ
cana-2871	25	36	lyapunov	lyapunov	PROPN
cana-2871	25	37	.	.	PUNCT
cana-2871	26	1	mailto:nareshsastra@yahoo.co.in	mailto:nareshsastra@yahoo.co.in	PROPN
cana-2871	26	2	mailto:shrivadivelu@gmail.com	mailto:shrivadivelu@gmail.com	PROPN
cana-2871	26	3	mailto:vsadeepa7682@gmail.com	mailto:vsadeepa7682@gmail.com	PROPN
cana-2871	26	4	mailto:mtvivek2017@gmail.com	mailto:mtvivek2017@gmail.com	NOUN
cana-2871	26	5	mailto:scpram@gmail.com	mailto:scpram@gmail.com	NOUN
cana-2871	27	1	communications	communication	NOUN
cana-2871	27	2	on	on	ADP
cana-2871	27	3	applied	apply	VERB
cana-2871	27	4	nonlinear	nonlinear	ADJ
cana-2871	27	5	analysis	analysis	NOUN
cana-2871	27	6	issn	issn	NOUN
cana-2871	27	7	:	:	PUNCT
cana-2871	27	8	1074	1074	NUM
cana-2871	27	9	-	-	PUNCT
cana-2871	27	10	133x	133x	NUM
cana-2871	27	11	vol	vol	NOUN
cana-2871	27	12	32	32	NUM
cana-2871	27	13	no	no	NOUN
cana-2871	27	14	.	.	PUNCT
cana-2871	28	1	4s	4s	NUM
cana-2871	28	2	(	(	PUNCT
cana-2871	28	3	2025	2025	NUM
cana-2871	28	4	)	)	PUNCT
cana-2871	28	5	553	553	NUM
cana-2871	28	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	28	7	professionals	professional	NOUN
cana-2871	28	8	,	,	PUNCT
cana-2871	28	9	the	the	DET
cana-2871	28	10	reason	reason	NOUN
cana-2871	28	11	could	could	AUX
cana-2871	28	12	be	be	AUX
cana-2871	28	13	inherited	inherit	VERB
cana-2871	28	14	—	—	PUNCT
cana-2871	28	15	a	a	DET
cana-2871	28	16	predisposition	predisposition	NOUN
cana-2871	28	17	to	to	PART
cana-2871	28	18	acquire	acquire	VERB
cana-2871	28	19	phobias	phobia	NOUN
cana-2871	28	20	as	as	ADP
cana-2871	28	21	a	a	DET
cana-2871	28	22	result	result	NOUN
cana-2871	28	23	of	of	ADP
cana-2871	28	24	your	your	PRON
cana-2871	28	25	inherited	inherit	VERB
cana-2871	28	26	composition	composition	NOUN
cana-2871	28	27	.	.	PUNCT
cana-2871	29	1	hiv	hiv	PROPN
cana-2871	29	2	-	-	PUNCT
cana-2871	29	3	phobias	phobia	NOUN
cana-2871	29	4	frequently	frequently	ADV
cana-2871	29	5	believe	believe	VERB
cana-2871	29	6	they	they	PRON
cana-2871	29	7	have	have	VERB
cana-2871	29	8	the	the	DET
cana-2871	29	9	virus	virus	NOUN
cana-2871	29	10	,	,	PUNCT
cana-2871	29	11	and	and	CCONJ
cana-2871	29	12	even	even	ADV
cana-2871	29	13	negative	negative	ADJ
cana-2871	29	14	tests	test	NOUN
cana-2871	29	15	can	can	AUX
cana-2871	29	16	not	not	PART
cana-2871	29	17	make	make	VERB
cana-2871	29	18	them	they	PRON
cana-2871	29	19	feel	feel	VERB
cana-2871	29	20	any	any	PRON
cana-2871	29	21	less	less	ADV
cana-2871	29	22	afraid	afraid	ADJ
cana-2871	29	23	.	.	PUNCT
cana-2871	30	1	some	some	DET
cana-2871	30	2	people	people	NOUN
cana-2871	30	3	think	think	VERB
cana-2871	30	4	that	that	SCONJ
cana-2871	30	5	traumatic	traumatic	ADJ
cana-2871	30	6	experiences	experience	NOUN
cana-2871	30	7	and	and	CCONJ
cana-2871	30	8	incidents	incident	NOUN
cana-2871	30	9	in	in	ADP
cana-2871	30	10	a	a	DET
cana-2871	30	11	person	person	NOUN
cana-2871	30	12	's	's	PART
cana-2871	30	13	life	life	NOUN
cana-2871	30	14	are	be	AUX
cana-2871	30	15	the	the	DET
cana-2871	30	16	cause	cause	NOUN
cana-2871	30	17	of	of	ADP
cana-2871	30	18	phobias	phobia	NOUN
cana-2871	30	19	.	.	PUNCT
cana-2871	31	1	for	for	ADP
cana-2871	31	2	instance	instance	NOUN
cana-2871	31	3	,	,	PUNCT
cana-2871	31	4	knowing	know	VERB
cana-2871	31	5	someone	someone	PRON
cana-2871	31	6	who	who	PRON
cana-2871	31	7	drowned	drown	VERB
cana-2871	31	8	may	may	AUX
cana-2871	31	9	cause	cause	VERB
cana-2871	31	10	someone	someone	PRON
cana-2871	31	11	to	to	PART
cana-2871	31	12	develop	develop	VERB
cana-2871	31	13	a	a	DET
cana-2871	31	14	phobia	phobia	NOUN
cana-2871	31	15	of	of	ADP
cana-2871	31	16	the	the	DET
cana-2871	31	17	water	water	NOUN
cana-2871	31	18	.	.	PUNCT
cana-2871	32	1	similarly	similarly	ADV
cana-2871	32	2	,	,	PUNCT
cana-2871	32	3	knowing	know	VERB
cana-2871	32	4	those	those	PRON
cana-2871	32	5	who	who	PRON
cana-2871	32	6	have	have	AUX
cana-2871	32	7	succumbed	succumb	VERB
cana-2871	32	8	to	to	ADP
cana-2871	32	9	the	the	DET
cana-2871	32	10	illness	illness	NOUN
cana-2871	32	11	or	or	CCONJ
cana-2871	32	12	been	be	AUX
cana-2871	32	13	critically	critically	ADV
cana-2871	32	14	ill	ill	ADJ
cana-2871	32	15	could	could	AUX
cana-2871	32	16	also	also	ADV
cana-2871	32	17	cause	cause	VERB
cana-2871	32	18	someone	someone	PRON
cana-2871	32	19	to	to	PART
cana-2871	32	20	develop	develop	VERB
cana-2871	32	21	an	an	DET
cana-2871	32	22	hiv	hiv	PROPN
cana-2871	32	23	fear	fear	NOUN
cana-2871	32	24	.	.	PUNCT
cana-2871	33	1	some	some	DET
cana-2871	33	2	people	people	NOUN
cana-2871	33	3	,	,	PUNCT
cana-2871	33	4	despite	despite	SCONJ
cana-2871	33	5	their	their	PRON
cana-2871	33	6	obviously	obviously	ADV
cana-2871	33	7	irrational	irrational	ADJ
cana-2871	33	8	behaviour	behaviour	NOUN
cana-2871	33	9	,	,	PUNCT
cana-2871	33	10	will	will	AUX
cana-2871	33	11	stop	stop	VERB
cana-2871	33	12	at	at	ADP
cana-2871	33	13	nothing	nothing	PRON
cana-2871	33	14	to	to	PART
cana-2871	33	15	prevent	prevent	VERB
cana-2871	33	16	contracting	contract	VERB
cana-2871	33	17	hiv	hiv	PROPN
cana-2871	33	18	.	.	PUNCT
cana-2871	34	1	african	african	ADJ
cana-2871	34	2	countries	country	NOUN
cana-2871	34	3	account	account	VERB
cana-2871	34	4	for	for	ADP
cana-2871	34	5	eight	eight	NUM
cana-2871	34	6	of	of	ADP
cana-2871	34	7	the	the	DET
cana-2871	34	8	top	top	ADJ
cana-2871	34	9	10	10	NUM
cana-2871	34	10	countries	country	NOUN
cana-2871	34	11	with	with	ADP
cana-2871	34	12	the	the	DET
cana-2871	34	13	highest	high	ADJ
cana-2871	34	14	number	number	NOUN
cana-2871	34	15	of	of	ADP
cana-2871	34	16	aids	aid	NOUN
cana-2871	34	17	-	-	PUNCT
cana-2871	34	18	related	relate	VERB
cana-2871	34	19	deaths	death	NOUN
cana-2871	34	20	worldwide	worldwide	ADV
cana-2871	34	21	.	.	PUNCT
cana-2871	35	1	it	it	PRON
cana-2871	35	2	makes	make	VERB
cana-2871	35	3	reasonable	reasonable	ADJ
cana-2871	35	4	that	that	SCONJ
cana-2871	35	5	someone	someone	PRON
cana-2871	35	6	with	with	ADP
cana-2871	35	7	severe	severe	ADJ
cana-2871	35	8	anxiety	anxiety	NOUN
cana-2871	35	9	problems	problem	NOUN
cana-2871	35	10	would	would	AUX
cana-2871	35	11	mistake	mistake	VERB
cana-2871	35	12	early	early	ADJ
cana-2871	35	13	hiv	hiv	PROPN
cana-2871	35	14	infection	infection	NOUN
cana-2871	35	15	symptoms	symptom	NOUN
cana-2871	35	16	for	for	ADP
cana-2871	35	17	other	other	ADJ
cana-2871	35	18	;	;	PUNCT
cana-2871	35	19	more	more	ADV
cana-2871	35	20	frequent	frequent	ADJ
cana-2871	35	21	illnesses	illness	NOUN
cana-2871	35	22	because	because	SCONJ
cana-2871	35	23	they	they	PRON
cana-2871	35	24	are	be	AUX
cana-2871	35	25	so	so	ADV
cana-2871	35	26	similar	similar	ADJ
cana-2871	35	27	to	to	ADP
cana-2871	35	28	them	they	PRON
cana-2871	35	29	.	.	PUNCT
cana-2871	36	1	these	these	DET
cana-2871	36	2	symptoms	symptom	NOUN
cana-2871	36	3	exacerbate	exacerbate	VERB
cana-2871	36	4	the	the	DET
cana-2871	36	5	worry	worry	NOUN
cana-2871	36	6	because	because	SCONJ
cana-2871	36	7	they	they	PRON
cana-2871	36	8	are	be	AUX
cana-2871	36	9	common	common	ADJ
cana-2871	36	10	to	to	ADP
cana-2871	36	11	many	many	ADJ
cana-2871	36	12	ailments	ailment	NOUN
cana-2871	36	13	.	.	PUNCT
cana-2871	37	1	furthermore	furthermore	ADV
cana-2871	37	2	,	,	PUNCT
cana-2871	37	3	even	even	ADV
cana-2871	37	4	if	if	SCONJ
cana-2871	37	5	they	they	PRON
cana-2871	37	6	are	be	AUX
cana-2871	37	7	not	not	PART
cana-2871	37	8	physically	physically	ADV
cana-2871	37	9	ill	ill	ADJ
cana-2871	37	10	,	,	PUNCT
cana-2871	37	11	their	their	PRON
cana-2871	37	12	dread	dread	NOUN
cana-2871	37	13	has	have	VERB
cana-2871	37	14	the	the	DET
cana-2871	37	15	ability	ability	NOUN
cana-2871	37	16	to	to	PART
cana-2871	37	17	cause	cause	VERB
cana-2871	37	18	them	they	PRON
cana-2871	37	19	to	to	PART
cana-2871	37	20	become	become	VERB
cana-2871	37	21	so	so	ADV
cana-2871	37	22	consumed	consume	VERB
cana-2871	37	23	by	by	ADP
cana-2871	37	24	their	their	PRON
cana-2871	37	25	worry	worry	NOUN
cana-2871	37	26	about	about	ADP
cana-2871	37	27	infection	infection	NOUN
cana-2871	37	28	that	that	SCONJ
cana-2871	37	29	they	they	PRON
cana-2871	37	30	are	be	AUX
cana-2871	37	31	able	able	ADJ
cana-2871	37	32	to	to	PART
cana-2871	37	33	physically	physically	ADV
cana-2871	37	34	manifest	manifest	VERB
cana-2871	37	35	these	these	DET
cana-2871	37	36	symptoms	symptom	NOUN
cana-2871	37	37	in	in	ADP
cana-2871	37	38	their	their	PRON
cana-2871	37	39	minds	mind	NOUN
cana-2871	37	40	.	.	PUNCT
cana-2871	38	1	lerman	lerman	NOUN
cana-2871	38	2	refers	refer	VERB
cana-2871	38	3	to	to	ADP
cana-2871	38	4	this	this	PRON
cana-2871	38	5	as	as	ADP
cana-2871	38	6	"	"	PUNCT
cana-2871	38	7	pseudo	pseudo	NOUN
cana-2871	38	8	-	-	NOUN
cana-2871	38	9	aids	aid	NOUN
cana-2871	38	10	.	.	PUNCT
cana-2871	38	11	"	"	PUNCT
cana-2871	39	1	an	an	DET
cana-2871	39	2	hiv	hiv	NOUN
cana-2871	39	3	-	-	PUNCT
cana-2871	39	4	phobic	phobic	ADJ
cana-2871	39	5	individual	individual	NOUN
cana-2871	39	6	assumes	assume	VERB
cana-2871	39	7	they	they	PRON
cana-2871	39	8	have	have	VERB
cana-2871	39	9	hiv	hiv	NOUN
cana-2871	39	10	whenever	whenever	SCONJ
cana-2871	39	11	they	they	PRON
cana-2871	39	12	have	have	VERB
cana-2871	39	13	comparable	comparable	ADJ
cana-2871	39	14	symptoms	symptom	NOUN
cana-2871	39	15	.	.	PUNCT
cana-2871	40	1	hiv	hiv	PROPN
cana-2871	40	2	phobia	phobia	PROPN
cana-2871	40	3	typically	typically	ADV
cana-2871	40	4	presents	present	VERB
cana-2871	40	5	as	as	ADP
cana-2871	40	6	physical	physical	ADJ
cana-2871	40	7	symptoms	symptom	NOUN
cana-2871	40	8	,	,	PUNCT
cana-2871	40	9	according	accord	VERB
cana-2871	40	10	to	to	ADP
cana-2871	40	11	phillips	phillip	NOUN
cana-2871	40	12	.	.	PUNCT
cana-2871	41	1	these	these	DET
cana-2871	41	2	symptoms	symptom	NOUN
cana-2871	41	3	—	—	PUNCT
cana-2871	41	4	which	which	PRON
cana-2871	41	5	include	include	VERB
cana-2871	41	6	nausea	nausea	NOUN
cana-2871	41	7	,	,	PUNCT
cana-2871	41	8	fever	fever	NOUN
cana-2871	41	9	,	,	PUNCT
cana-2871	41	10	rapid	rapid	ADJ
cana-2871	41	11	weight	weight	NOUN
cana-2871	41	12	loss	loss	NOUN
cana-2871	41	13	,	,	PUNCT
cana-2871	41	14	night	night	NOUN
cana-2871	41	15	sweats	sweat	NOUN
cana-2871	41	16	,	,	PUNCT
cana-2871	41	17	exhaustion	exhaustion	NOUN
cana-2871	41	18	,	,	PUNCT
cana-2871	41	19	diarrhea	diarrhea	NOUN
cana-2871	41	20	,	,	PUNCT
cana-2871	41	21	mouth	mouth	NOUN
cana-2871	41	22	or	or	CCONJ
cana-2871	41	23	vaginal	vaginal	ADJ
cana-2871	41	24	sores	sore	NOUN
cana-2871	41	25	,	,	PUNCT
cana-2871	41	26	and	and	CCONJ
cana-2871	41	27	headaches	headache	NOUN
cana-2871	41	28	—	—	PUNCT
cana-2871	41	29	can	can	AUX
cana-2871	41	30	resemble	resemble	VERB
cana-2871	41	31	those	those	PRON
cana-2871	41	32	that	that	PRON
cana-2871	41	33	some	some	DET
cana-2871	41	34	people	people	NOUN
cana-2871	41	35	have	have	AUX
cana-2871	41	36	experienced	experience	VERB
cana-2871	41	37	after	after	ADP
cana-2871	41	38	recently	recently	ADV
cana-2871	41	39	becoming	becoming	AUX
cana-2871	41	40	infected	infect	VERB
cana-2871	41	41	with	with	ADP
cana-2871	41	42	hiv	hiv	PROPN
cana-2871	41	43	.	.	PUNCT
cana-2871	42	1	an	an	DET
cana-2871	42	2	hiv	hiv	PROPN
cana-2871	42	3	phobia	phobia	NOUN
cana-2871	42	4	is	be	AUX
cana-2871	42	5	frequently	frequently	ADV
cana-2871	42	6	greatly	greatly	ADV
cana-2871	42	7	influenced	influence	VERB
cana-2871	42	8	by	by	ADP
cana-2871	42	9	culture	culture	NOUN
cana-2871	42	10	.	.	PUNCT
cana-2871	43	1	phobias	phobia	NOUN
cana-2871	43	2	stem	stem	VERB
cana-2871	43	3	from	from	ADP
cana-2871	43	4	biological	biological	ADJ
cana-2871	43	5	and	and	CCONJ
cana-2871	43	6	social	social	ADJ
cana-2871	43	7	elements	element	NOUN
cana-2871	43	8	as	as	ADV
cana-2871	43	9	well	well	ADV
cana-2871	43	10	as	as	ADP
cana-2871	43	11	experiences	experience	NOUN
cana-2871	43	12	.	.	PUNCT
cana-2871	44	1	the	the	DET
cana-2871	44	2	subject	subject	NOUN
cana-2871	44	3	of	of	ADP
cana-2871	44	4	how	how	SCONJ
cana-2871	44	5	hiv	hiv	PROPN
cana-2871	44	6	fear	fear	NOUN
cana-2871	44	7	arises	arise	VERB
cana-2871	44	8	has	have	VERB
cana-2871	44	9	no	no	DET
cana-2871	44	10	universally	universally	ADV
cana-2871	44	11	accepted	accept	VERB
cana-2871	44	12	explanation	explanation	NOUN
cana-2871	44	13	.	.	PUNCT
cana-2871	45	1	after	after	ADP
cana-2871	45	2	engaging	engage	VERB
cana-2871	45	3	in	in	ADP
cana-2871	45	4	one	one	NUM
cana-2871	45	5	condom	condom	NOUN
cana-2871	45	6	-	-	PUNCT
cana-2871	45	7	free	free	ADJ
cana-2871	45	8	sexual	sexual	ADJ
cana-2871	45	9	encounter	encounter	NOUN
cana-2871	45	10	,	,	PUNCT
cana-2871	45	11	an	an	DET
cana-2871	45	12	individual	individual	NOUN
cana-2871	45	13	may	may	AUX
cana-2871	45	14	start	start	VERB
cana-2871	45	15	to	to	PART
cana-2871	45	16	fear	fear	VERB
cana-2871	45	17	that	that	SCONJ
cana-2871	45	18	they	they	PRON
cana-2871	45	19	might	might	AUX
cana-2871	45	20	be	be	AUX
cana-2871	45	21	infected	infect	VERB
cana-2871	45	22	with	with	ADP
cana-2871	45	23	a	a	DET
cana-2871	45	24	std	std	NOUN
cana-2871	45	25	.	.	PUNCT
cana-2871	46	1	at	at	ADV
cana-2871	46	2	least	least	ADV
cana-2871	46	3	one	one	NUM
cana-2871	46	4	hiv	hiv	NOUN
cana-2871	46	5	test	test	NOUN
cana-2871	46	6	should	should	AUX
cana-2871	46	7	be	be	AUX
cana-2871	46	8	taken	take	VERB
cana-2871	46	9	by	by	ADP
cana-2871	46	10	anyone	anyone	PRON
cana-2871	46	11	between	between	ADP
cana-2871	46	12	the	the	DET
cana-2871	46	13	ages	age	NOUN
cana-2871	46	14	of	of	ADP
cana-2871	46	15	13	13	NUM
cana-2871	46	16	and	and	CCONJ
cana-2871	46	17	64	64	NUM
cana-2871	46	18	,	,	PUNCT
cana-2871	46	19	according	accord	VERB
cana-2871	46	20	to	to	ADP
cana-2871	46	21	the	the	DET
cana-2871	46	22	cdc	cdc	PROPN
cana-2871	46	23	[	[	X
cana-2871	46	24	centers	center	NOUN
cana-2871	46	25	for	for	ADP
cana-2871	46	26	disease	disease	NOUN
cana-2871	46	27	control	control	NOUN
cana-2871	46	28	and	and	CCONJ
cana-2871	46	29	prevention	prevention	NOUN
cana-2871	46	30	]	]	PUNCT
cana-2871	46	31	.	.	PUNCT
cana-2871	47	1	this	this	PRON
cana-2871	47	2	may	may	AUX
cana-2871	47	3	often	often	ADV
cana-2871	47	4	be	be	AUX
cana-2871	47	5	done	do	VERB
cana-2871	47	6	at	at	ADP
cana-2871	47	7	your	your	PRON
cana-2871	47	8	yearly	yearly	ADJ
cana-2871	47	9	physical	physical	ADJ
cana-2871	47	10	examination	examination	NOUN
cana-2871	47	11	.	.	PUNCT
cana-2871	48	1	ask	ask	VERB
cana-2871	48	2	your	your	PRON
cana-2871	48	3	doctor	doctor	NOUN
cana-2871	48	4	about	about	ADP
cana-2871	48	5	it	it	PRON
cana-2871	48	6	if	if	SCONJ
cana-2871	48	7	you	you	PRON
cana-2871	48	8	have	have	AUX
cana-2871	48	9	n't	not	PART
cana-2871	48	10	had	have	VERB
cana-2871	48	11	the	the	DET
cana-2871	48	12	test	test	NOUN
cana-2871	48	13	.	.	PUNCT
cana-2871	49	1	tests	test	NOUN
cana-2871	49	2	should	should	AUX
cana-2871	49	3	be	be	AUX
cana-2871	49	4	performed	perform	VERB
cana-2871	49	5	more	more	ADV
cana-2871	49	6	frequently	frequently	ADV
cana-2871	49	7	if	if	SCONJ
cana-2871	49	8	you	you	PRON
cana-2871	49	9	are	be	AUX
cana-2871	49	10	at	at	ADP
cana-2871	49	11	a	a	DET
cana-2871	49	12	higher	high	ADJ
cana-2871	49	13	risk	risk	NOUN
cana-2871	49	14	;	;	PUNCT
cana-2871	49	15	ideally	ideally	ADV
cana-2871	49	16	,	,	PUNCT
cana-2871	49	17	every	every	DET
cana-2871	49	18	three	three	NUM
cana-2871	49	19	or	or	CCONJ
cana-2871	49	20	six	six	NUM
cana-2871	49	21	months	month	NOUN
cana-2871	49	22	.	.	PUNCT
cana-2871	50	1	however	however	ADV
cana-2871	50	2	,	,	PUNCT
cana-2871	50	3	pantalone	pantalone	NOUN
cana-2871	50	4	notes	note	VERB
cana-2871	50	5	that	that	SCONJ
cana-2871	50	6	a	a	DET
cana-2871	50	7	further	further	ADJ
cana-2871	50	8	factor	factor	NOUN
cana-2871	50	9	contributing	contribute	VERB
cana-2871	50	10	to	to	ADP
cana-2871	50	11	the	the	DET
cana-2871	50	12	lack	lack	NOUN
cana-2871	50	13	of	of	ADP
cana-2871	50	14	testing	testing	NOUN
cana-2871	50	15	is	be	AUX
cana-2871	50	16	people	people	NOUN
cana-2871	50	17	's	's	PART
cana-2871	50	18	misconception	misconception	NOUN
cana-2871	50	19	that	that	SCONJ
cana-2871	50	20	the	the	DET
cana-2871	50	21	high	high	ADJ
cana-2871	50	22	risk	risk	NOUN
cana-2871	50	23	of	of	ADP
cana-2871	50	24	the	the	DET
cana-2871	50	25	illness	illness	NOUN
cana-2871	50	26	"	"	PUNCT
cana-2871	50	27	fits	fit	VERB
cana-2871	50	28	within	within	ADP
cana-2871	50	29	an	an	DET
cana-2871	50	30	identity	identity	NOUN
cana-2871	50	31	"	"	PUNCT
cana-2871	50	32	when	when	SCONJ
cana-2871	50	33	in	in	ADP
cana-2871	50	34	fact	fact	NOUN
cana-2871	50	35	it	it	PRON
cana-2871	50	36	's	be	AUX
cana-2871	50	37	a	a	DET
cana-2871	50	38	virus	virus	NOUN
cana-2871	50	39	spread	spread	VERB
cana-2871	50	40	by	by	ADP
cana-2871	50	41	normal	normal	ADJ
cana-2871	50	42	human	human	ADJ
cana-2871	50	43	conduct	conduct	NOUN
cana-2871	50	44	,	,	PUNCT
cana-2871	50	45	such	such	ADJ
cana-2871	50	46	as	as	ADP
cana-2871	50	47	having	have	VERB
cana-2871	50	48	sex	sex	NOUN
cana-2871	50	49	.	.	PUNCT
cana-2871	51	1	you	you	PRON
cana-2871	51	2	need	need	VERB
cana-2871	51	3	to	to	PART
cana-2871	51	4	get	get	AUX
cana-2871	51	5	tested	test	VERB
cana-2871	51	6	for	for	ADP
cana-2871	51	7	hiv	hiv	PROPN
cana-2871	51	8	if	if	SCONJ
cana-2871	51	9	you	you	PRON
cana-2871	51	10	've	have	AUX
cana-2871	51	11	ever	ever	ADV
cana-2871	51	12	engaged	engage	VERB
cana-2871	51	13	in	in	ADP
cana-2871	51	14	condom	condom	NOUN
cana-2871	51	15	-	-	PUNCT
cana-2871	51	16	free	free	ADJ
cana-2871	51	17	sexual	sexual	ADJ
cana-2871	51	18	activity	activity	NOUN
cana-2871	51	19	.	.	PUNCT
cana-2871	52	1	pantalone	pantalone	NOUN
cana-2871	52	2	advises	advise	VERB
cana-2871	52	3	against	against	ADP
cana-2871	52	4	doing	do	VERB
cana-2871	52	5	anything	anything	PRON
cana-2871	52	6	infrequently	infrequently	ADV
cana-2871	52	7	,	,	PUNCT
cana-2871	52	8	even	even	ADV
cana-2871	52	9	if	if	SCONJ
cana-2871	52	10	it	it	PRON
cana-2871	52	11	seems	seem	VERB
cana-2871	52	12	little	little	ADJ
cana-2871	52	13	risk	risk	NOUN
cana-2871	52	14	.	.	PUNCT
cana-2871	53	1	according	accord	VERB
cana-2871	53	2	to	to	ADP
cana-2871	53	3	the	the	DET
cana-2871	53	4	cdc	cdc	NOUN
cana-2871	53	5	,	,	PUNCT
cana-2871	53	6	you	you	PRON
cana-2871	53	7	have	have	VERB
cana-2871	53	8	an	an	DET
cana-2871	53	9	increased	increase	VERB
cana-2871	53	10	chance	chance	NOUN
cana-2871	53	11	of	of	ADP
cana-2871	53	12	contracting	contract	VERB
cana-2871	53	13	hiv	hiv	PROPN
cana-2871	53	14	if	if	SCONJ
cana-2871	53	15	you	you	PRON
cana-2871	53	16	can	can	AUX
cana-2871	53	17	say	say	VERB
cana-2871	53	18	"	"	PUNCT
cana-2871	53	19	yes	yes	INTJ
cana-2871	53	20	"	"	PUNCT
cana-2871	53	21	to	to	ADP
cana-2871	53	22	any	any	PRON
cana-2871	53	23	of	of	ADP
cana-2871	53	24	the	the	DET
cana-2871	53	25	following	follow	VERB
cana-2871	53	26	questions	question	NOUN
cana-2871	53	27	:	:	PUNCT
cana-2871	53	28	2	2	X
cana-2871	53	29	.	.	X
cana-2871	53	30	have	have	AUX
cana-2871	53	31	you	you	PRON
cana-2871	53	32	had	have	VERB
cana-2871	53	33	sex	sex	NOUN
cana-2871	53	34	with	with	ADP
cana-2871	53	35	an	an	DET
cana-2871	53	36	hiv	hiv	NOUN
cana-2871	53	37	-	-	PUNCT
cana-2871	53	38	positive	positive	ADJ
cana-2871	53	39	person	person	NOUN
cana-2871	53	40	,	,	PUNCT
cana-2871	53	41	either	either	CCONJ
cana-2871	53	42	anally	anally	ADV
cana-2871	53	43	or	or	CCONJ
cana-2871	53	44	vaginally	vaginally	ADV
cana-2871	53	45	?	?	PUNCT
cana-2871	54	1	3	3	X
cana-2871	54	2	.	.	PUNCT
cana-2871	54	3	since	since	SCONJ
cana-2871	54	4	your	your	PRON
cana-2871	54	5	last	last	ADJ
cana-2871	54	6	hiv	hiv	PROPN
cana-2871	54	7	test	test	NOUN
cana-2871	54	8	,	,	PUNCT
cana-2871	54	9	have	have	AUX
cana-2871	54	10	you	you	PRON
cana-2871	54	11	dated	date	VERB
cana-2871	54	12	anyone	anyone	PRON
cana-2871	54	13	more	more	ADJ
cana-2871	54	14	than	than	ADP
cana-2871	54	15	once	once	ADV
cana-2871	54	16	?	?	PUNCT
cana-2871	55	1	4	4	X
cana-2871	55	2	.	.	X
cana-2871	55	3	have	have	AUX
cana-2871	55	4	you	you	PRON
cana-2871	55	5	given	give	VERB
cana-2871	55	6	anyone	anyone	PRON
cana-2871	55	7	access	access	NOUN
cana-2871	55	8	to	to	ADP
cana-2871	55	9	needles	needle	NOUN
cana-2871	55	10	,	,	PUNCT
cana-2871	55	11	inject	inject	VERB
cana-2871	55	12	able	able	ADJ
cana-2871	55	13	medications	medication	NOUN
cana-2871	55	14	,	,	PUNCT
cana-2871	55	15	or	or	CCONJ
cana-2871	55	16	other	other	ADJ
cana-2871	55	17	injection	injection	NOUN
cana-2871	55	18	supplies	supply	NOUN
cana-2871	55	19	?	?	PUNCT
cana-2871	56	1	5	5	X
cana-2871	56	2	.	.	X
cana-2871	56	3	have	have	AUX
cana-2871	56	4	you	you	PRON
cana-2871	56	5	ever	ever	ADV
cana-2871	56	6	traded	trade	VERB
cana-2871	56	7	drugs	drug	NOUN
cana-2871	56	8	or	or	CCONJ
cana-2871	56	9	cash	cash	NOUN
cana-2871	56	10	for	for	ADP
cana-2871	56	11	sex	sex	NOUN
cana-2871	56	12	?	?	PUNCT
cana-2871	57	1	6	6	NUM
cana-2871	57	2	.	.	X
cana-2871	57	3	have	have	AUX
cana-2871	57	4	you	you	PRON
cana-2871	57	5	ever	ever	ADV
cana-2871	57	6	engaged	engage	VERB
cana-2871	57	7	in	in	ADP
cana-2871	57	8	sexual	sexual	ADJ
cana-2871	57	9	activity	activity	NOUN
cana-2871	57	10	with	with	ADP
cana-2871	57	11	someone	someone	PRON
cana-2871	57	12	whose	whose	DET
cana-2871	57	13	past	past	NOUN
cana-2871	57	14	you	you	PRON
cana-2871	57	15	are	be	AUX
cana-2871	57	16	unaware	unaware	ADJ
cana-2871	57	17	of	of	ADP
cana-2871	57	18	?	?	PUNCT
cana-2871	58	1	7	7	X
cana-2871	58	2	.	.	X
cana-2871	58	3	have	have	AUX
cana-2871	58	4	you	you	PRON
cana-2871	58	5	received	receive	VERB
cana-2871	58	6	medical	medical	ADJ
cana-2871	58	7	attention	attention	NOUN
cana-2871	58	8	or	or	CCONJ
cana-2871	58	9	a	a	DET
cana-2871	58	10	diagnosis	diagnosis	NOUN
cana-2871	58	11	for	for	ADP
cana-2871	58	12	any	any	DET
cana-2871	58	13	other	other	ADJ
cana-2871	58	14	std	std	NOUN
cana-2871	58	15	?	?	NOUN
cana-2871	58	16	8	8	NUM
cana-2871	58	17	.	.	X
cana-2871	59	1	do	do	AUX
cana-2871	59	2	you	you	PRON
cana-2871	59	3	identify	identify	VERB
cana-2871	59	4	as	as	ADP
cana-2871	59	5	a	a	DET
cana-2871	59	6	male	male	NOUN
cana-2871	59	7	who	who	PRON
cana-2871	59	8	has	have	AUX
cana-2871	59	9	slept	sleep	VERB
cana-2871	59	10	with	with	ADP
cana-2871	59	11	another	another	DET
cana-2871	59	12	man	man	NOUN
cana-2871	59	13	?	?	PUNCT
cana-2871	60	1	we	we	PRON
cana-2871	60	2	note	note	VERB
cana-2871	60	3	that	that	SCONJ
cana-2871	60	4	health	health	NOUN
cana-2871	60	5	behaviour	behaviour	NOUN
cana-2871	60	6	theory	theory	NOUN
cana-2871	60	7	needs	need	VERB
cana-2871	60	8	to	to	PART
cana-2871	60	9	address	address	VERB
cana-2871	60	10	the	the	DET
cana-2871	60	11	mechanisms	mechanism	NOUN
cana-2871	60	12	relating	relate	VERB
cana-2871	60	13	many	many	ADJ
cana-2871	60	14	levels	level	NOUN
cana-2871	60	15	of	of	ADP
cana-2871	60	16	influence	influence	NOUN
cana-2871	60	17	on	on	ADP
cana-2871	60	18	behaviour	behaviour	NOUN
cana-2871	60	19	and	and	CCONJ
cana-2871	60	20	offer	offer	VERB
cana-2871	60	21	useful	useful	ADJ
cana-2871	60	22	direction	direction	NOUN
cana-2871	60	23	for	for	ADP
cana-2871	60	24	multi	multi	ADJ
cana-2871	60	25	-	-	ADJ
cana-2871	60	26	level	level	ADJ
cana-2871	60	27	behaviour	behaviour	NOUN
cana-2871	60	28	modification	modification	NOUN
cana-2871	60	29	treatments	treatment	NOUN
cana-2871	60	30	tailored	tailor	VERB
cana-2871	60	31	to	to	ADP
cana-2871	60	32	particular	particular	ADJ
cana-2871	60	33	settings	setting	NOUN
cana-2871	60	34	.	.	PUNCT
cana-2871	61	1	we	we	PRON
cana-2871	61	2	develop	develop	VERB
cana-2871	61	3	a	a	DET
cana-2871	61	4	mathematical	mathematical	ADJ
cana-2871	61	5	model	model	NOUN
cana-2871	61	6	to	to	PART
cana-2871	61	7	examine	examine	VERB
cana-2871	61	8	the	the	DET
cana-2871	61	9	causes	cause	NOUN
cana-2871	61	10	of	of	ADP
cana-2871	61	11	the	the	DET
cana-2871	61	12	sexually	sexually	ADV
cana-2871	61	13	communications	communication	NOUN
cana-2871	61	14	on	on	ADP
cana-2871	61	15	applied	apply	VERB
cana-2871	61	16	nonlinear	nonlinear	ADJ
cana-2871	61	17	analysis	analysis	NOUN
cana-2871	61	18	issn	issn	NOUN
cana-2871	61	19	:	:	PUNCT
cana-2871	61	20	1074	1074	NUM
cana-2871	61	21	-	-	PUNCT
cana-2871	61	22	133x	133x	NUM
cana-2871	61	23	vol	vol	NOUN
cana-2871	61	24	32	32	NUM
cana-2871	61	25	no	no	NOUN
cana-2871	61	26	.	.	PUNCT
cana-2871	62	1	4s	4s	NUM
cana-2871	62	2	(	(	PUNCT
cana-2871	62	3	2025	2025	NUM
cana-2871	62	4	)	)	PUNCT
cana-2871	62	5	554	554	NUM
cana-2871	62	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-2871	62	7	transmitted	transmit	VERB
cana-2871	62	8	disease	disease	NOUN
cana-2871	62	9	(	(	PUNCT
cana-2871	62	10	std	std	NOUN
cana-2871	62	11	)	)	PUNCT
cana-2871	62	12	outbreaks	outbreak	NOUN
cana-2871	62	13	and	and	CCONJ
cana-2871	62	14	the	the	DET
cana-2871	62	15	best	good	ADJ
cana-2871	62	16	ways	way	NOUN
cana-2871	62	17	to	to	PART
cana-2871	62	18	prevent	prevent	VERB
cana-2871	62	19	or	or	CCONJ
cana-2871	62	20	lessen	lessen	VERB
cana-2871	62	21	them	they	PRON
cana-2871	62	22	.	.	PUNCT
cana-2871	63	1	a	a	DET
cana-2871	63	2	model	model	NOUN
cana-2871	63	3	that	that	PRON
cana-2871	63	4	represents	represent	VERB
cana-2871	63	5	the	the	DET
cana-2871	63	6	effect	effect	NOUN
cana-2871	63	7	of	of	ADP
cana-2871	63	8	phobia	phobia	NOUN
cana-2871	63	9	on	on	ADP
cana-2871	63	10	hiv	hiv	PROPN
cana-2871	63	11	/	/	SYM
cana-2871	63	12	aids	aids	PROPN
cana-2871	63	13	interaction	interaction	NOUN
cana-2871	63	14	with	with	ADP
cana-2871	63	15	disease	disease	NOUN
cana-2871	63	16	transmission	transmission	NOUN
cana-2871	63	17	in	in	ADP
cana-2871	63	18	the	the	DET
cana-2871	63	19	population	population	NOUN
cana-2871	63	20	is	be	AUX
cana-2871	63	21	considered	consider	VERB
cana-2871	63	22	in	in	ADP
cana-2871	63	23	this	this	DET
cana-2871	63	24	research	research	NOUN
cana-2871	63	25	.	.	PUNCT
cana-2871	64	1	we	we	PRON
cana-2871	64	2	start	start	VERB
cana-2871	64	3	by	by	ADP
cana-2871	64	4	describing	describe	VERB
cana-2871	64	5	some	some	DET
cana-2871	64	6	basic	basic	ADJ
cana-2871	64	7	properties	property	NOUN
cana-2871	64	8	of	of	ADP
cana-2871	64	9	the	the	DET
cana-2871	64	10	system	system	NOUN
cana-2871	64	11	,	,	PUNCT
cana-2871	64	12	including	include	VERB
cana-2871	64	13	equilibrium	equilibrium	NOUN
cana-2871	64	14	and	and	CCONJ
cana-2871	64	15	its	its	PRON
cana-2871	64	16	fundamental	fundamental	ADJ
cana-2871	64	17	reproduction	reproduction	NOUN
cana-2871	64	18	value	value	NOUN
cana-2871	64	19	.	.	PUNCT
cana-2871	65	1	additionally	additionally	ADV
cana-2871	65	2	,	,	PUNCT
cana-2871	65	3	we	we	PRON
cana-2871	65	4	investigate	investigate	VERB
cana-2871	65	5	if	if	SCONJ
cana-2871	65	6	non	non	ADJ
cana-2871	65	7	-	-	ADJ
cana-2871	65	8	negative	negative	ADJ
cana-2871	65	9	solutions	solution	NOUN
cana-2871	65	10	to	to	ADP
cana-2871	65	11	the	the	DET
cana-2871	65	12	given	give	VERB
cana-2871	65	13	process	process	NOUN
cana-2871	65	14	exist	exist	VERB
cana-2871	65	15	and	and	CCONJ
cana-2871	65	16	are	be	AUX
cana-2871	65	17	unique	unique	ADJ
cana-2871	65	18	.	.	PUNCT
cana-2871	66	1	mathematically	mathematically	ADV
cana-2871	66	2	,	,	PUNCT
cana-2871	66	3	the	the	DET
cana-2871	66	4	concepts	concept	NOUN
cana-2871	66	5	of	of	ADP
cana-2871	66	6	difference	difference	NOUN
cana-2871	66	7	equations	equation	NOUN
cana-2871	66	8	are	be	AUX
cana-2871	66	9	used	use	VERB
cana-2871	66	10	to	to	PART
cana-2871	66	11	develop	develop	VERB
cana-2871	66	12	the	the	DET
cana-2871	66	13	epidemic	epidemic	NOUN
cana-2871	66	14	model	model	NOUN
cana-2871	66	15	of	of	ADP
cana-2871	66	16	hiv	hiv	PROPN
cana-2871	66	17	/	/	SYM
cana-2871	66	18	aids	aids	PROPN
cana-2871	66	19	.	.	PUNCT
cana-2871	67	1	the	the	DET
cana-2871	67	2	properties	property	NOUN
cana-2871	67	3	of	of	ADP
cana-2871	67	4	the	the	DET
cana-2871	67	5	qualitative	qualitative	ADJ
cana-2871	67	6	hiv	hiv	PROPN
cana-2871	67	7	/	/	SYM
cana-2871	67	8	aids	aids	PROPN
cana-2871	67	9	epidemic	epidemic	NOUN
cana-2871	67	10	model	model	NOUN
cana-2871	67	11	are	be	AUX
cana-2871	67	12	analyzed	analyze	VERB
cana-2871	67	13	.	.	PUNCT
cana-2871	68	1	the	the	DET
cana-2871	68	2	definite	definite	ADJ
cana-2871	68	3	function	function	NOUN
cana-2871	68	4	of	of	ADP
cana-2871	68	5	lyapunov	lyapunov	NOUN
cana-2871	68	6	is	be	AUX
cana-2871	68	7	derived	derive	VERB
cana-2871	68	8	from	from	ADP
cana-2871	68	9	the	the	DET
cana-2871	68	10	equation	equation	NOUN
cana-2871	68	11	of	of	ADP
cana-2871	68	12	difference	difference	NOUN
cana-2871	68	13	to	to	PART
cana-2871	68	14	stabilize	stabilize	VERB
cana-2871	68	15	the	the	DET
cana-2871	68	16	system	system	NOUN
cana-2871	68	17	of	of	ADP
cana-2871	68	18	the	the	DET
cana-2871	68	19	hiv	hiv	PROPN
cana-2871	68	20	/	/	SYM
cana-2871	68	21	aids	aids	PROPN
cana-2871	68	22	epidemic	epidemic	NOUN
cana-2871	68	23	model	model	NOUN
cana-2871	68	24	.	.	PUNCT
cana-2871	69	1	hiv	hiv	PROPN
cana-2871	69	2	and	and	CCONJ
cana-2871	69	3	hsv	hsv	PROPN
cana-2871	69	4	,	,	PUNCT
cana-2871	69	5	the	the	DET
cana-2871	69	6	two	two	NUM
cana-2871	69	7	main	main	ADJ
cana-2871	69	8	virus	virus	NOUN
cana-2871	69	9	-	-	PUNCT
cana-2871	69	10	caused	cause	VERB
cana-2871	69	11	stds	stds	NOUN
cana-2871	69	12	,	,	PUNCT
cana-2871	69	13	are	be	AUX
cana-2871	69	14	incurable	incurable	ADJ
cana-2871	69	15	and	and	CCONJ
cana-2871	69	16	can	can	AUX
cana-2871	69	17	have	have	AUX
cana-2871	69	18	detrimental	detrimental	ADJ
cana-2871	69	19	long	long	ADJ
cana-2871	69	20	-	-	PUNCT
cana-2871	69	21	term	term	NOUN
cana-2871	69	22	effects	effect	NOUN
cana-2871	69	23	on	on	ADP
cana-2871	69	24	one	one	NUM
cana-2871	69	25	's	's	PART
cana-2871	69	26	health	health	NOUN
cana-2871	69	27	.	.	PUNCT
cana-2871	70	1	lifelong	lifelong	ADJ
cana-2871	70	2	hsv	hsv	PROPN
cana-2871	70	3	infection	infection	NOUN
cana-2871	70	4	is	be	AUX
cana-2871	70	5	also	also	ADV
cana-2871	70	6	characterized	characterize	VERB
cana-2871	70	7	by	by	ADP
cana-2871	70	8	recurrent	recurrent	ADJ
cana-2871	70	9	outbreaks	outbreak	NOUN
cana-2871	70	10	at	at	ADP
cana-2871	70	11	the	the	DET
cana-2871	70	12	sites	site	NOUN
cana-2871	70	13	of	of	ADP
cana-2871	70	14	infection	infection	NOUN
cana-2871	70	15	.	.	PUNCT
cana-2871	71	1	hsv	hsv	PROPN
cana-2871	71	2	type	type	NOUN
cana-2871	71	3	1	1	NUM
cana-2871	71	4	primarily	primarily	ADV
cana-2871	71	5	affects	affect	VERB
cana-2871	71	6	the	the	DET
cana-2871	71	7	mouth	mouth	NOUN
cana-2871	71	8	and	and	CCONJ
cana-2871	71	9	lips	lip	NOUN
cana-2871	71	10	(	(	PUNCT
cana-2871	71	11	cold	cold	ADJ
cana-2871	71	12	sores	sore	NOUN
cana-2871	71	13	)	)	PUNCT
cana-2871	71	14	,	,	PUNCT
cana-2871	71	15	while	while	SCONJ
cana-2871	71	16	hsv	hsv	PROPN
cana-2871	71	17	type	type	NOUN
cana-2871	71	18	2	2	NUM
cana-2871	71	19	primarily	primarily	ADV
cana-2871	71	20	affects	affect	VERB
cana-2871	71	21	the	the	DET
cana-2871	71	22	genital	genital	ADJ
cana-2871	71	23	area	area	NOUN
cana-2871	71	24	,	,	PUNCT
cana-2871	71	25	albeit	albeit	SCONJ
cana-2871	71	26	genital	genital	ADJ
cana-2871	71	27	hsv	hsv	NOUN
cana-2871	71	28	type	type	NOUN
cana-2871	71	29	1	1	NUM
cana-2871	71	30	is	be	AUX
cana-2871	71	31	on	on	ADP
cana-2871	71	32	the	the	DET
cana-2871	71	33	rise	rise	NOUN
cana-2871	71	34	.	.	PUNCT
cana-2871	72	1	despite	despite	SCONJ
cana-2871	72	2	the	the	DET
cana-2871	72	3	lack	lack	NOUN
cana-2871	72	4	of	of	ADP
cana-2871	72	5	a	a	DET
cana-2871	72	6	vaccine	vaccine	NOUN
cana-2871	72	7	or	or	CCONJ
cana-2871	72	8	cure	cure	NOUN
cana-2871	72	9	,	,	PUNCT
cana-2871	72	10	antiviral	antiviral	ADJ
cana-2871	72	11	drugs	drug	NOUN
cana-2871	72	12	can	can	AUX
cana-2871	72	13	lessen	lessen	VERB
cana-2871	72	14	the	the	DET
cana-2871	72	15	symptoms	symptom	NOUN
cana-2871	72	16	of	of	ADP
cana-2871	72	17	hsv	hsv	PROPN
cana-2871	72	18	.	.	PUNCT
cana-2871	73	1	there	there	PRON
cana-2871	73	2	is	be	VERB
cana-2871	73	3	a	a	DET
cana-2871	73	4	significant	significant	ADJ
cana-2871	73	5	chance	chance	NOUN
cana-2871	73	6	that	that	SCONJ
cana-2871	73	7	a	a	DET
cana-2871	73	8	newborn	newborn	NOUN
cana-2871	73	9	will	will	AUX
cana-2871	73	10	die	die	VERB
cana-2871	73	11	or	or	CCONJ
cana-2871	73	12	become	become	VERB
cana-2871	73	13	severely	severely	ADV
cana-2871	73	14	disabled	disabled	ADJ
cana-2871	73	15	if	if	SCONJ
cana-2871	73	16	hsv	hsv	PROPN
cana-2871	73	17	is	be	AUX
cana-2871	73	18	spread	spread	VERB
cana-2871	73	19	during	during	ADP
cana-2871	73	20	or	or	CCONJ
cana-2871	73	21	after	after	ADP
cana-2871	73	22	childbirth	childbirth	NOUN
cana-2871	73	23	.	.	PUNCT
cana-2871	74	1	hiv	hiv	PROPN
cana-2871	74	2	/	/	SYM
cana-2871	74	3	aids	aids	PROPN
cana-2871	74	4	risk	risk	NOUN
cana-2871	74	5	is	be	AUX
cana-2871	74	6	also	also	ADV
cana-2871	74	7	increased	increase	VERB
cana-2871	74	8	by	by	ADP
cana-2871	74	9	hsv	hsv	PROPN
cana-2871	74	10	type	type	NOUN
cana-2871	74	11	2	2	NUM
cana-2871	74	12	infections	infection	NOUN
cana-2871	74	13	.	.	PUNCT
cana-2871	75	1	since	since	SCONJ
cana-2871	75	2	they	they	PRON
cana-2871	75	3	were	be	AUX
cana-2871	75	4	first	first	ADV
cana-2871	75	5	used	use	VERB
cana-2871	75	6	centuries	century	NOUN
cana-2871	75	7	ago	ago	ADV
cana-2871	75	8	to	to	PART
cana-2871	75	9	prevent	prevent	VERB
cana-2871	75	10	stds	stds	NOUN
cana-2871	75	11	,	,	PUNCT
cana-2871	75	12	male	male	ADJ
cana-2871	75	13	condoms	condom	NOUN
cana-2871	75	14	have	have	AUX
cana-2871	75	15	gained	gain	VERB
cana-2871	75	16	popularity	popularity	NOUN
cana-2871	75	17	as	as	ADP
cana-2871	75	18	a	a	DET
cana-2871	75	19	key	key	ADJ
cana-2871	75	20	component	component	NOUN
cana-2871	75	21	of	of	ADP
cana-2871	75	22	hiv	hiv	PROPN
cana-2871	75	23	/	/	SYM
cana-2871	75	24	aids	aids	PROPN
cana-2871	75	25	preventive	preventive	ADJ
cana-2871	75	26	strategies	strategy	NOUN
cana-2871	75	27	.	.	PUNCT
cana-2871	76	1	male	male	ADJ
cana-2871	76	2	condoms	condom	NOUN
cana-2871	76	3	are	be	AUX
cana-2871	76	4	a	a	DET
cana-2871	76	5	very	very	ADV
cana-2871	76	6	efficient	efficient	ADJ
cana-2871	76	7	std	std	NOUN
cana-2871	76	8	prevention	prevention	NOUN
cana-2871	76	9	tool	tool	NOUN
cana-2871	76	10	that	that	PRON
cana-2871	76	11	can	can	AUX
cana-2871	76	12	cut	cut	VERB
cana-2871	76	13	the	the	DET
cana-2871	76	14	risk	risk	NOUN
cana-2871	76	15	of	of	ADP
cana-2871	76	16	infection	infection	NOUN
cana-2871	76	17	by	by	ADP
cana-2871	76	18	80	80	NUM
cana-2871	76	19	%	%	NOUN
cana-2871	76	20	when	when	SCONJ
cana-2871	76	21	used	use	VERB
cana-2871	76	22	correctly	correctly	ADV
cana-2871	76	23	and	and	CCONJ
cana-2871	76	24	consistently	consistently	ADV
cana-2871	76	25	.	.	PUNCT
cana-2871	77	1	in	in	ADP
cana-2871	77	2	particular	particular	ADJ
cana-2871	77	3	in	in	ADP
cana-2871	77	4	sub	sub	ADJ
cana-2871	77	5	-	-	ADJ
cana-2871	77	6	saharan	saharan	ADJ
cana-2871	77	7	africa	africa	PROPN
cana-2871	77	8	,	,	PUNCT
cana-2871	77	9	the	the	DET
cana-2871	77	10	usage	usage	NOUN
cana-2871	77	11	of	of	ADP
cana-2871	77	12	female	female	ADJ
cana-2871	77	13	condoms	condom	NOUN
cana-2871	77	14	as	as	ADP
cana-2871	77	15	a	a	DET
cana-2871	77	16	method	method	NOUN
cana-2871	77	17	of	of	ADP
cana-2871	77	18	female	female	ADJ
cana-2871	77	19	managed	manage	VERB
cana-2871	77	20	prevention	prevention	NOUN
cana-2871	77	21	has	have	AUX
cana-2871	77	22	grown	grow	VERB
cana-2871	77	23	in	in	ADP
cana-2871	77	24	popularity	popularity	NOUN
cana-2871	77	25	.	.	PUNCT
cana-2871	78	1	despite	despite	SCONJ
cana-2871	78	2	their	their	PRON
cana-2871	78	3	effectiveness	effectiveness	NOUN
cana-2871	78	4	,	,	PUNCT
cana-2871	78	5	female	female	ADJ
cana-2871	78	6	condoms	condom	NOUN
cana-2871	78	7	are	be	AUX
cana-2871	78	8	still	still	ADV
cana-2871	78	9	not	not	PART
cana-2871	78	10	widely	widely	ADV
cana-2871	78	11	accepted	accept	VERB
cana-2871	78	12	by	by	ADP
cana-2871	78	13	both	both	DET
cana-2871	78	14	women	woman	NOUN
cana-2871	78	15	and	and	CCONJ
cana-2871	78	16	their	their	PRON
cana-2871	78	17	sexual	sexual	ADJ
cana-2871	78	18	partners	partner	NOUN
cana-2871	78	19	.	.	PUNCT
cana-2871	79	1	safe	safe	ADJ
cana-2871	79	2	sexual	sexual	ADJ
cana-2871	79	3	behaviour	behaviour	NOUN
cana-2871	79	4	has	have	VERB
cana-2871	79	5	numerous	numerous	ADJ
cana-2871	79	6	benefits	benefit	NOUN
cana-2871	79	7	for	for	ADP
cana-2871	79	8	both	both	DET
cana-2871	79	9	your	your	PRON
cana-2871	79	10	physical	physical	ADJ
cana-2871	79	11	and	and	CCONJ
cana-2871	79	12	emotional	emotional	ADJ
cana-2871	79	13	well	well	ADV
cana-2871	79	14	-	-	PUNCT
cana-2871	79	15	being	being	NOUN
cana-2871	79	16	.	.	PUNCT
cana-2871	80	1	you	you	PRON
cana-2871	80	2	might	might	AUX
cana-2871	80	3	be	be	AUX
cana-2871	80	4	able	able	ADJ
cana-2871	80	5	to	to	PART
cana-2871	80	6	safeguard	safeguard	VERB
cana-2871	80	7	your	your	PRON
cana-2871	80	8	mental	mental	ADJ
cana-2871	80	9	health	health	NOUN
cana-2871	80	10	by	by	ADP
cana-2871	80	11	taking	take	VERB
cana-2871	80	12	precautions	precaution	NOUN
cana-2871	80	13	against	against	ADP
cana-2871	80	14	sexually	sexually	ADV
cana-2871	80	15	transmitted	transmit	VERB
cana-2871	80	16	diseases	disease	NOUN
cana-2871	80	17	(	(	PUNCT
cana-2871	80	18	stds	stds	NOUN
cana-2871	80	19	)	)	PUNCT
cana-2871	80	20	,	,	PUNCT
cana-2871	80	21	such	such	ADJ
cana-2871	80	22	as	as	ADP
cana-2871	80	23	hiv	hiv	PROPN
cana-2871	80	24	.	.	PUNCT
cana-2871	81	1	because	because	SCONJ
cana-2871	81	2	mental	mental	ADJ
cana-2871	81	3	health	health	NOUN
cana-2871	81	4	and	and	CCONJ
cana-2871	81	5	hiv	hiv	PROPN
cana-2871	81	6	seem	seem	VERB
cana-2871	81	7	to	to	PART
cana-2871	81	8	be	be	AUX
cana-2871	81	9	related	relate	VERB
cana-2871	81	10	issues	issue	NOUN
cana-2871	81	11	,	,	PUNCT
cana-2871	81	12	that	that	PRON
cana-2871	81	13	can	can	AUX
cana-2871	81	14	be	be	AUX
cana-2871	81	15	challenging	challenge	VERB
cana-2871	81	16	.	.	PUNCT
cana-2871	82	1	in	in	ADP
cana-2871	82	2	both	both	CCONJ
cana-2871	82	3	hiv	hiv	PROPN
cana-2871	82	4	-	-	PUNCT
cana-2871	82	5	positive	positive	ADJ
cana-2871	82	6	and	and	CCONJ
cana-2871	82	7	at	at	ADP
cana-2871	82	8	-	-	PUNCT
cana-2871	82	9	risk	risk	NOUN
cana-2871	82	10	populations	population	NOUN
cana-2871	82	11	,	,	PUNCT
cana-2871	82	12	mental	mental	ADJ
cana-2871	82	13	health	health	NOUN
cana-2871	82	14	issues	issue	NOUN
cana-2871	82	15	are	be	AUX
cana-2871	82	16	more	more	ADV
cana-2871	82	17	common	common	ADJ
cana-2871	82	18	.	.	PUNCT
cana-2871	83	1	hiv	hiv	PROPN
cana-2871	83	2	risk	risk	NOUN
cana-2871	83	3	is	be	AUX
cana-2871	83	4	positively	positively	ADV
cana-2871	83	5	correlated	correlate	VERB
cana-2871	83	6	with	with	ADP
cana-2871	83	7	mental	mental	ADJ
cana-2871	83	8	health	health	NOUN
cana-2871	83	9	.	.	PUNCT
cana-2871	84	1	as	as	ADP
cana-2871	84	2	a	a	DET
cana-2871	84	3	result	result	NOUN
cana-2871	84	4	of	of	ADP
cana-2871	84	5	having	have	VERB
cana-2871	84	6	hiv	hiv	PROPN
cana-2871	84	7	,	,	PUNCT
cana-2871	84	8	some	some	DET
cana-2871	84	9	people	people	NOUN
cana-2871	84	10	may	may	AUX
cana-2871	84	11	experience	experience	VERB
cana-2871	84	12	mental	mental	ADJ
cana-2871	84	13	health	health	NOUN
cana-2871	84	14	issues	issue	NOUN
cana-2871	84	15	,	,	PUNCT
cana-2871	84	16	but	but	CCONJ
cana-2871	84	17	others	other	NOUN
cana-2871	84	18	may	may	AUX
cana-2871	84	19	develop	develop	VERB
cana-2871	84	20	them	they	PRON
cana-2871	84	21	because	because	SCONJ
cana-2871	84	22	they	they	PRON
cana-2871	84	23	are	be	AUX
cana-2871	84	24	afraid	afraid	ADJ
cana-2871	84	25	of	of	ADP
cana-2871	84	26	contracting	contract	VERB
cana-2871	84	27	the	the	DET
cana-2871	84	28	virus	virus	NOUN
cana-2871	84	29	.	.	PUNCT
cana-2871	85	1	the	the	DET
cana-2871	85	2	diagnosis	diagnosis	NOUN
cana-2871	85	3	of	of	ADP
cana-2871	85	4	a	a	DET
cana-2871	85	5	sexually	sexually	ADV
cana-2871	85	6	transmitted	transmit	VERB
cana-2871	85	7	infection	infection	NOUN
cana-2871	85	8	(	(	PUNCT
cana-2871	85	9	sti	sti	PROPN
cana-2871	85	10	)	)	PUNCT
cana-2871	85	11	,	,	PUNCT
cana-2871	85	12	particularly	particularly	ADV
cana-2871	85	13	hiv	hiv	PROPN
cana-2871	85	14	,	,	PUNCT
cana-2871	85	15	can	can	AUX
cana-2871	85	16	also	also	ADV
cana-2871	85	17	set	set	VERB
cana-2871	85	18	off	off	ADP
cana-2871	85	19	symptoms	symptom	NOUN
cana-2871	85	20	of	of	ADP
cana-2871	85	21	other	other	ADJ
cana-2871	85	22	mental	mental	ADJ
cana-2871	85	23	health	health	NOUN
cana-2871	85	24	conditions	condition	NOUN
cana-2871	85	25	.	.	PUNCT
cana-2871	86	1	one	one	NUM
cana-2871	86	2	of	of	ADP
cana-2871	86	3	the	the	DET
cana-2871	86	4	most	most	ADV
cana-2871	86	5	prevalent	prevalent	ADJ
cana-2871	86	6	mental	mental	ADJ
cana-2871	86	7	health	health	NOUN
cana-2871	86	8	conditions	condition	NOUN
cana-2871	86	9	affecting	affect	VERB
cana-2871	86	10	people	people	NOUN
cana-2871	86	11	living	live	VERB
cana-2871	86	12	with	with	ADP
cana-2871	86	13	hiv	hiv	PROPN
cana-2871	86	14	,	,	PUNCT
cana-2871	86	15	for	for	ADP
cana-2871	86	16	instance	instance	NOUN
cana-2871	86	17	,	,	PUNCT
cana-2871	86	18	is	be	AUX
cana-2871	86	19	depression	depression	NOUN
cana-2871	86	20	.	.	PUNCT
cana-2871	87	1	individuals	individual	NOUN
cana-2871	87	2	living	live	VERB
cana-2871	87	3	with	with	ADP
cana-2871	87	4	hiv	hiv	PROPN
cana-2871	87	5	have	have	VERB
cana-2871	87	6	twice	twice	DET
cana-2871	87	7	the	the	DET
cana-2871	87	8	chance	chance	NOUN
cana-2871	87	9	of	of	ADP
cana-2871	87	10	developing	develop	VERB
cana-2871	87	11	depression	depression	NOUN
cana-2871	87	12	compared	compare	VERB
cana-2871	87	13	to	to	ADP
cana-2871	87	14	those	those	PRON
cana-2871	87	15	who	who	PRON
cana-2871	87	16	are	be	AUX
cana-2871	87	17	at	at	ADP
cana-2871	87	18	risk	risk	NOUN
cana-2871	87	19	for	for	ADP
cana-2871	87	20	hiv	hiv	PROPN
cana-2871	87	21	but	but	CCONJ
cana-2871	87	22	do	do	AUX
cana-2871	87	23	not	not	PART
cana-2871	87	24	yet	yet	ADV
cana-2871	87	25	have	have	VERB
cana-2871	87	26	the	the	DET
cana-2871	87	27	virus	virus	NOUN
cana-2871	87	28	.	.	PUNCT
cana-2871	88	1	you	you	PRON
cana-2871	88	2	might	might	AUX
cana-2871	88	3	not	not	PART
cana-2871	88	4	be	be	AUX
cana-2871	88	5	able	able	ADJ
cana-2871	88	6	to	to	PART
cana-2871	88	7	get	get	AUX
cana-2871	88	8	tested	test	VERB
cana-2871	88	9	,	,	PUNCT
cana-2871	88	10	get	get	VERB
cana-2871	88	11	results	result	NOUN
cana-2871	88	12	,	,	PUNCT
cana-2871	88	13	seek	seek	VERB
cana-2871	88	14	or	or	CCONJ
cana-2871	88	15	receive	receive	VERB
cana-2871	88	16	care	care	NOUN
cana-2871	88	17	,	,	PUNCT
cana-2871	88	18	or	or	CCONJ
cana-2871	88	19	continue	continue	VERB
cana-2871	88	20	your	your	PRON
cana-2871	88	21	care	care	NOUN
cana-2871	88	22	if	if	SCONJ
cana-2871	88	23	you	you	PRON
cana-2871	88	24	have	have	VERB
cana-2871	88	25	a	a	DET
cana-2871	88	26	mental	mental	ADJ
cana-2871	88	27	health	health	NOUN
cana-2871	88	28	condition	condition	NOUN
cana-2871	88	29	.	.	PUNCT
cana-2871	89	1	by	by	ADP
cana-2871	89	2	taking	take	VERB
cana-2871	89	3	precautions	precaution	NOUN
cana-2871	89	4	to	to	PART
cana-2871	89	5	avoid	avoid	VERB
cana-2871	89	6	contracting	contract	VERB
cana-2871	89	7	or	or	CCONJ
cana-2871	89	8	spreading	spread	VERB
cana-2871	89	9	hiv	hiv	PROPN
cana-2871	89	10	,	,	PUNCT
cana-2871	89	11	you	you	PRON
cana-2871	89	12	may	may	AUX
cana-2871	89	13	enhance	enhance	VERB
cana-2871	89	14	your	your	PRON
cana-2871	89	15	general	general	ADJ
cana-2871	89	16	mental	mental	ADJ
cana-2871	89	17	well	well	ADV
cana-2871	89	18	-	-	PUNCT
cana-2871	89	19	being	being	NOUN
cana-2871	89	20	.	.	PUNCT
cana-2871	90	1	psychotherapy	psychotherapy	NOUN
cana-2871	90	2	and	and	CCONJ
cana-2871	90	3	medicine	medicine	NOUN
cana-2871	90	4	are	be	AUX
cana-2871	90	5	two	two	NUM
cana-2871	90	6	possible	possible	ADJ
cana-2871	90	7	treatments	treatment	NOUN
cana-2871	90	8	for	for	ADP
cana-2871	90	9	people	people	NOUN
cana-2871	90	10	with	with	ADP
cana-2871	90	11	a	a	DET
cana-2871	90	12	crippling	crippling	ADJ
cana-2871	90	13	fear	fear	NOUN
cana-2871	90	14	of	of	ADP
cana-2871	90	15	hiv	hiv	PROPN
cana-2871	90	16	.	.	PUNCT
cana-2871	91	1	investigating	investigate	VERB
cana-2871	91	2	the	the	DET
cana-2871	91	3	underlying	underlie	VERB
cana-2871	91	4	causes	cause	NOUN
cana-2871	91	5	of	of	ADP
cana-2871	91	6	the	the	DET
cana-2871	91	7	anxieties	anxiety	NOUN
cana-2871	91	8	may	may	AUX
cana-2871	91	9	be	be	AUX
cana-2871	91	10	more	more	ADV
cana-2871	91	11	crucial	crucial	ADJ
cana-2871	91	12	than	than	ADP
cana-2871	91	13	seeking	seek	VERB
cana-2871	91	14	all	all	DET
cana-2871	91	15	the	the	DET
cana-2871	91	16	information	information	NOUN
cana-2871	91	17	about	about	ADP
cana-2871	91	18	the	the	DET
cana-2871	91	19	illness	illness	NOUN
cana-2871	91	20	from	from	ADP
cana-2871	91	21	a	a	DET
cana-2871	91	22	doctor	doctor	NOUN
cana-2871	91	23	or	or	CCONJ
cana-2871	91	24	counsellor	counsellor	NOUN
cana-2871	91	25	,	,	PUNCT
cana-2871	91	26	even	even	ADV
cana-2871	91	27	though	though	SCONJ
cana-2871	91	28	doing	do	VERB
cana-2871	91	29	so	so	ADV
cana-2871	91	30	may	may	AUX
cana-2871	91	31	be	be	AUX
cana-2871	91	32	helpful	helpful	ADJ
cana-2871	91	33	.	.	PUNCT
cana-2871	92	1	many	many	ADJ
cana-2871	92	2	times	time	NOUN
cana-2871	92	3	,	,	PUNCT
cana-2871	92	4	there	there	PRON
cana-2871	92	5	will	will	AUX
cana-2871	92	6	be	be	AUX
cana-2871	92	7	no	no	DET
cana-2871	92	8	connection	connection	NOUN
cana-2871	92	9	at	at	ADV
cana-2871	92	10	all	all	ADV
cana-2871	92	11	between	between	ADP
cana-2871	92	12	the	the	DET
cana-2871	92	13	phobia	phobia	NOUN
cana-2871	92	14	and	and	CCONJ
cana-2871	92	15	hiv	hiv	PROPN
cana-2871	92	16	.	.	PUNCT
cana-2871	93	1	it	it	PRON
cana-2871	93	2	typically	typically	ADV
cana-2871	93	3	helps	help	VERB
cana-2871	93	4	to	to	PART
cana-2871	93	5	sit	sit	VERB
cana-2871	93	6	with	with	ADP
cana-2871	93	7	a	a	DET
cana-2871	93	8	qualified	qualified	ADJ
cana-2871	93	9	mental	mental	ADJ
cana-2871	93	10	health	health	NOUN
cana-2871	93	11	expert	expert	NOUN
cana-2871	93	12	.	.	PUNCT
cana-2871	94	1	family	family	NOUN
cana-2871	94	2	counselling	counselling	NOUN
cana-2871	94	3	,	,	PUNCT
cana-2871	94	4	group	group	NOUN
cana-2871	94	5	therapy	therapy	NOUN
cana-2871	94	6	,	,	PUNCT
cana-2871	94	7	and	and	CCONJ
cana-2871	94	8	individual	individual	ADJ
cana-2871	94	9	therapy	therapy	NOUN
cana-2871	94	10	are	be	AUX
cana-2871	94	11	all	all	PRON
cana-2871	94	12	possible	possible	ADJ
cana-2871	94	13	forms	form	NOUN
cana-2871	94	14	of	of	ADP
cana-2871	94	15	treatment	treatment	NOUN
cana-2871	94	16	.	.	PUNCT
cana-2871	95	1	prescription	prescription	NOUN
cana-2871	95	2	medications	medication	NOUN
cana-2871	95	3	such	such	ADJ
cana-2871	95	4	as	as	ADP
cana-2871	95	5	zoloft	zoloft	NOUN
cana-2871	95	6	and	and	CCONJ
cana-2871	95	7	lexapro	lexapro	NOUN
cana-2871	95	8	may	may	AUX
cana-2871	95	9	be	be	AUX
cana-2871	95	10	helpful	helpful	ADJ
cana-2871	95	11	for	for	ADP
cana-2871	95	12	people	people	NOUN
cana-2871	95	13	who	who	PRON
cana-2871	95	14	have	have	AUX
cana-2871	95	15	been	be	AUX
cana-2871	95	16	diagnosed	diagnose	VERB
cana-2871	95	17	with	with	ADP
cana-2871	95	18	anxiety	anxiety	NOUN
cana-2871	95	19	disorders	disorder	NOUN
cana-2871	95	20	.	.	PUNCT
cana-2871	96	1	one	one	PRON
cana-2871	96	2	's	's	PART
cana-2871	96	3	life	life	NOUN
cana-2871	96	4	need	need	AUX
cana-2871	96	5	not	not	PART
cana-2871	96	6	be	be	AUX
cana-2871	96	7	dictated	dictate	VERB
cana-2871	96	8	by	by	ADP
cana-2871	96	9	hiv	hiv	PROPN
cana-2871	96	10	fear	fear	NOUN
cana-2871	96	11	.	.	PUNCT
cana-2871	97	1	returning	return	VERB
cana-2871	97	2	to	to	ADP
cana-2871	97	3	your	your	PRON
cana-2871	97	4	best	good	ADJ
cana-2871	97	5	self	self	NOUN
cana-2871	97	6	,	,	PUNCT
cana-2871	97	7	you	you	PRON
cana-2871	97	8	can	can	AUX
cana-2871	97	9	enjoy	enjoy	VERB
cana-2871	97	10	a	a	DET
cana-2871	97	11	life	life	NOUN
cana-2871	97	12	of	of	ADP
cana-2871	97	13	fulfilment	fulfilment	NOUN
cana-2871	97	14	.	.	PUNCT
cana-2871	98	1	communications	communication	NOUN
cana-2871	98	2	on	on	ADP
cana-2871	98	3	applied	apply	VERB
cana-2871	98	4	nonlinear	nonlinear	ADJ
cana-2871	98	5	analysis	analysis	NOUN
cana-2871	98	6	issn	issn	NOUN
cana-2871	98	7	:	:	PUNCT
cana-2871	98	8	1074	1074	NUM
cana-2871	98	9	-	-	PUNCT
cana-2871	98	10	133x	133x	NUM
cana-2871	98	11	vol	vol	NOUN
cana-2871	98	12	32	32	NUM
cana-2871	98	13	no	no	NOUN
cana-2871	98	14	.	.	PUNCT
cana-2871	99	1	4s	4s	NUM
cana-2871	99	2	(	(	PUNCT
cana-2871	99	3	2025	2025	NUM
cana-2871	99	4	)	)	PUNCT
cana-2871	99	5	555	555	NUM
cana-2871	99	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	99	7	9	9	NUM
cana-2871	99	8	.	.	PUNCT
cana-2871	99	9	epidemic	epidemic	NOUN
cana-2871	99	10	model	model	NOUN
cana-2871	99	11	of	of	ADP
cana-2871	99	12	hiv	hiv	PROPN
cana-2871	99	13	/	/	SYM
cana-2871	99	14	aids	aids	PROPN
cana-2871	99	15	:	:	PUNCT
cana-2871	99	16	the	the	DET
cana-2871	99	17	hiv	hiv	PROPN
cana-2871	99	18	/	/	SYM
cana-2871	99	19	aids	aids	PROPN
cana-2871	99	20	epidemic	epidemic	NOUN
cana-2871	99	21	model	model	NOUN
cana-2871	99	22	is	be	AUX
cana-2871	99	23	mathematically	mathematically	ADV
cana-2871	99	24	portrayed	portray	VERB
cana-2871	99	25	by	by	ADP
cana-2871	99	26	the	the	DET
cana-2871	99	27	system	system	NOUN
cana-2871	99	28	of	of	ADP
cana-2871	99	29	equations	equation	NOUN
cana-2871	99	30	with	with	ADP
cana-2871	99	31	the	the	DET
cana-2871	99	32	following	follow	VERB
cana-2871	99	33	suppositions	supposition	NOUN
cana-2871	99	34	.	.	PUNCT
cana-2871	100	1	ϖ	ϖ	X
cana-2871	101	1	=	=	VERB
cana-2871	101	2	existing	exist	VERB
cana-2871	101	3	populace	populace	NOUN
cana-2871	101	4	hs	hs	NOUN
cana-2871	101	5	=	=	NOUN
cana-2871	101	6	no	no	NOUN
cana-2871	101	7	.	.	PUNCT
cana-2871	101	8	of	of	ADP
cana-2871	101	9	susceptible	susceptible	ADJ
cana-2871	101	10	hi	hi	NOUN
cana-2871	101	11	=	=	NOUN
cana-2871	101	12	no	no	NOUN
cana-2871	101	13	.	.	PUNCT
cana-2871	101	14	of	of	ADP
cana-2871	101	15	infected	infect	VERB
cana-2871	101	16	hc	hc	PROPN
cana-2871	101	17	=	=	PROPN
cana-2871	101	18	no	no	NOUN
cana-2871	101	19	.	.	NOUN
cana-2871	101	20	of	of	ADP
cana-2871	101	21	hiv	hiv	PROPN
cana-2871	101	22	patients	patient	NOUN
cana-2871	101	23	attended	attend	VERB
cana-2871	101	24	counselling	counsel	VERB
cana-2871	101	25	hn	hn	PROPN
cana-2871	101	26	=	=	NOUN
cana-2871	101	27	no	no	NOUN
cana-2871	101	28	.	.	NOUN
cana-2871	102	1	of	of	ADP
cana-2871	102	2	hiv	hiv	PROPN
cana-2871	102	3	patients	patient	NOUN
cana-2871	102	4	did	do	AUX
cana-2871	102	5	n't	not	PART
cana-2871	102	6	attend	attend	VERB
cana-2871	102	7	the	the	DET
cana-2871	102	8	counselling	counselling	NOUN
cana-2871	102	9	ha=	ha=	ADJ
cana-2871	102	10	final	final	ADJ
cana-2871	102	11	stage	stage	NOUN
cana-2871	102	12	of	of	ADP
cana-2871	102	13	hiv	hiv	PROPN
cana-2871	102	14	/	/	SYM
cana-2871	102	15	aids	aids	PROPN
cana-2871	102	16	ϖ1	ϖ1	NOUN
cana-2871	102	17	=	=	NOUN
cana-2871	102	18	rate	rate	NOUN
cana-2871	102	19	of	of	ADP
cana-2871	102	20	phobia	phobia	NOUN
cana-2871	102	21	about	about	ADP
cana-2871	102	22	hiv	hiv	PROPN
cana-2871	102	23	ϖ2=	ϖ2=	VERB
cana-2871	102	24	proper	proper	ADJ
cana-2871	102	25	counselling	counselling	NOUN
cana-2871	102	26	about	about	ADP
cana-2871	102	27	hiv	hiv	PROPN
cana-2871	102	28	and	and	CCONJ
cana-2871	102	29	social	social	ADJ
cana-2871	102	30	phobia	phobia	NOUN
cana-2871	102	31	ϖ3	ϖ3	NOUN
cana-2871	102	32	=	=	NOUN
cana-2871	102	33	not	not	PART
cana-2871	102	34	proper	proper	ADJ
cana-2871	102	35	counselling	counselling	NOUN
cana-2871	102	36	about	about	ADP
cana-2871	102	37	hiv	hiv	PROPN
cana-2871	102	38	and	and	CCONJ
cana-2871	102	39	social	social	ADJ
cana-2871	102	40	phobia	phobia	NOUN
cana-2871	102	41	ϖ4	ϖ4	PROPN
cana-2871	102	42	=	=	PROPN
cana-2871	102	43	the	the	DET
cana-2871	102	44	rate	rate	NOUN
cana-2871	102	45	of	of	ADP
cana-2871	102	46	patient	patient	NOUN
cana-2871	102	47	’s	’s	PART
cana-2871	102	48	relief	relief	NOUN
cana-2871	102	49	from	from	ADP
cana-2871	102	50	hiv	hiv	PROPN
cana-2871	102	51	phobia	phobia	NOUN
cana-2871	102	52	and	and	CCONJ
cana-2871	102	53	their	their	PRON
cana-2871	102	54	lifetime	lifetime	NOUN
cana-2871	102	55	extend	extend	NOUN
cana-2871	102	56	ϖ5	ϖ5	NOUN
cana-2871	102	57	=	=	NOUN
cana-2871	102	58	the	the	DET
cana-2871	102	59	rate	rate	NOUN
cana-2871	102	60	of	of	ADP
cana-2871	102	61	patient	patient	NOUN
cana-2871	102	62	’s	’s	AUX
cana-2871	102	63	not	not	PART
cana-2871	102	64	relieved	relieve	VERB
cana-2871	102	65	from	from	ADP
cana-2871	102	66	hiv	hiv	PROPN
cana-2871	102	67	phobia	phobia	NOUN
cana-2871	102	68	and	and	CCONJ
cana-2871	102	69	their	their	PRON
cana-2871	102	70	lifetime	lifetime	NOUN
cana-2871	102	71	is	be	AUX
cana-2871	102	72	easily	easily	ADV
cana-2871	102	73	reduced	reduce	VERB
cana-2871	102	74	.	.	PUNCT
cana-2871	103	1	υ	υ	X
cana-2871	104	1	=	=	NOUN
cana-2871	104	2	normal	normal	ADJ
cana-2871	104	3	death	death	NOUN
cana-2871	104	4	rate	rate	NOUN
cana-2871	104	5	at	at	ADP
cana-2871	104	6	all	all	DET
cana-2871	104	7	stages	stage	NOUN
cana-2871	104	8	υ	υ	NOUN
cana-2871	105	1	+	+	CCONJ
cana-2871	105	2	a	a	DET
cana-2871	105	3	=	=	NOUN
cana-2871	105	4	the	the	DET
cana-2871	105	5	population	population	NOUN
cana-2871	105	6	death	death	NOUN
cana-2871	105	7	rate	rate	NOUN
cana-2871	105	8	of	of	ADP
cana-2871	105	9	infected	infected	ADJ
cana-2871	105	10	hiv	hiv	PROPN
cana-2871	106	1	.	.	PUNCT
cana-2871	106	2	fig	fig	PROPN
cana-2871	106	3	1	1	NUM
cana-2871	106	4	:	:	PUNCT
cana-2871	107	1	hiv	hiv	PROPN
cana-2871	107	2	/	/	SYM
cana-2871	107	3	aids	aids	PROPN
cana-2871	107	4	phobia	phobia	NOUN
cana-2871	107	5	epidemic	epidemic	NOUN
cana-2871	107	6	model	model	NOUN
cana-2871	107	7	of	of	ADP
cana-2871	107	8	flow	flow	NOUN
cana-2871	107	9	diagram	diagram	NOUN
cana-2871	107	10	form	form	NOUN
cana-2871	107	11	epidemic	epidemic	NOUN
cana-2871	107	12	model	model	NOUN
cana-2871	107	13	of	of	ADP
cana-2871	107	14	hiv	hiv	PROPN
cana-2871	107	15	/	/	SYM
cana-2871	107	16	aids	aids	PROPN
cana-2871	107	17	is	be	AUX
cana-2871	107	18	allowed	allow	VERB
cana-2871	107	19	by	by	ADP
cana-2871	107	20	the	the	DET
cana-2871	107	21	accompanying	accompanying	ADJ
cana-2871	107	22	arrangement	arrangement	NOUN
cana-2871	107	23	of	of	ADP
cana-2871	107	24	d.e	d.e	PROPN
cana-2871	107	25	.	.	PUNCT
cana-2871	108	1	dhs	dhs	PROPN
cana-2871	108	2	d𝔱	d𝔱	PROPN
cana-2871	109	1	=	=	PUNCT
cana-2871	109	2	ϖ	ϖ	INTJ
cana-2871	109	3	−	−	PROPN
cana-2871	109	4	(	(	PUNCT
cana-2871	109	5	ϖ1	ϖ1	VERB
cana-2871	109	6	+	+	CCONJ
cana-2871	109	7	υ	υ	NOUN
cana-2871	109	8	)	)	PUNCT
cana-2871	109	9	hs	hs	PROPN
cana-2871	109	10	(	(	PUNCT
cana-2871	109	11	1	1	X
cana-2871	109	12	)	)	PUNCT
cana-2871	109	13	dhi	dhi	PROPN
cana-2871	109	14	d𝔱	d𝔱	PROPN
cana-2871	110	1	=	=	PUNCT
cana-2871	110	2	ϖ1hs	ϖ1hs	PUNCT
cana-2871	110	3	−	−	PROPN
cana-2871	110	4	(	(	PUNCT
cana-2871	110	5	ϖ2	ϖ2	NOUN
cana-2871	110	6	+	+	CCONJ
cana-2871	110	7	ϖ3	ϖ3	NOUN
cana-2871	110	8	+	+	CCONJ
cana-2871	110	9	υ	υ	NOUN
cana-2871	110	10	)	)	PUNCT
cana-2871	110	11	hi	hi	INTJ
cana-2871	110	12	(	(	PUNCT
cana-2871	110	13	2	2	NUM
cana-2871	110	14	)	)	PUNCT
cana-2871	110	15	dhc	dhc	VERB
cana-2871	110	16	d𝔱	d𝔱	NOUN
cana-2871	110	17	=	=	SYM
cana-2871	110	18	ϖ2hi	ϖ2hi	NOUN
cana-2871	111	1	−	−	PROPN
cana-2871	112	1	(	(	PUNCT
cana-2871	112	2	ϖ4	ϖ4	PROPN
cana-2871	112	3	+	+	CCONJ
cana-2871	112	4	υ	υ	NOUN
cana-2871	112	5	)	)	PUNCT
cana-2871	112	6	hc	hc	PROPN
cana-2871	112	7	(	(	PUNCT
cana-2871	112	8	3	3	NUM
cana-2871	112	9	)	)	PUNCT
cana-2871	112	10	dhn	dhn	NOUN
cana-2871	112	11	d𝔱	d𝔱	NOUN
cana-2871	112	12	=	=	SYM
cana-2871	112	13	ϖ3hi	ϖ3hi	PROPN
cana-2871	112	14	−	−	PROPN
cana-2871	112	15	(	(	PUNCT
cana-2871	112	16	ϖ5	ϖ5	NOUN
cana-2871	112	17	+	+	CCONJ
cana-2871	112	18	υ	υ	NOUN
cana-2871	112	19	)	)	PUNCT
cana-2871	112	20	hn	hn	PROPN
cana-2871	112	21	(	(	PUNCT
cana-2871	112	22	4	4	NUM
cana-2871	112	23	)	)	PUNCT
cana-2871	112	24	dha	dha	NOUN
cana-2871	112	25	d𝔱	d𝔱	NOUN
cana-2871	112	26	=	=	PUNCT
cana-2871	112	27	ϖ4hc	ϖ4hc	PUNCT
cana-2871	113	1	+	+	CCONJ
cana-2871	113	2	ϖ5hn	ϖ5hn	ADP
cana-2871	113	3	−	−	PRON
cana-2871	113	4	(	(	PUNCT
cana-2871	113	5	υ	υ	NOUN
cana-2871	113	6	+	+	NOUN
cana-2871	113	7	a	a	X
cana-2871	113	8	)	)	PUNCT
cana-2871	113	9	ha	ha	INTJ
cana-2871	113	10	(	(	PUNCT
cana-2871	113	11	5	5	NUM
cana-2871	113	12	)	)	PUNCT
cana-2871	113	13	communications	communication	NOUN
cana-2871	113	14	on	on	ADP
cana-2871	113	15	applied	apply	VERB
cana-2871	113	16	nonlinear	nonlinear	ADJ
cana-2871	113	17	analysis	analysis	NOUN
cana-2871	113	18	issn	issn	NOUN
cana-2871	113	19	:	:	PUNCT
cana-2871	113	20	1074	1074	NUM
cana-2871	113	21	-	-	PUNCT
cana-2871	113	22	133x	133x	NUM
cana-2871	113	23	vol	vol	NOUN
cana-2871	113	24	32	32	NUM
cana-2871	113	25	no	no	NOUN
cana-2871	113	26	.	.	PUNCT
cana-2871	114	1	4s	4s	NUM
cana-2871	114	2	(	(	PUNCT
cana-2871	114	3	2025	2025	NUM
cana-2871	114	4	)	)	PUNCT
cana-2871	114	5	556	556	NUM
cana-2871	114	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	114	7	where	where	SCONJ
cana-2871	114	8	hs(0	hs(0	NOUN
cana-2871	114	9	)	)	PUNCT
cana-2871	114	10	>	>	X
cana-2871	114	11	0	0	NUM
cana-2871	114	12	,	,	PUNCT
cana-2871	114	13	hi(0	hi(0	PROPN
cana-2871	114	14	)	)	PUNCT
cana-2871	114	15	>	>	X
cana-2871	114	16	0,hc(0	0,hc(0	PROPN
cana-2871	114	17	)	)	PUNCT
cana-2871	114	18	>	>	X
cana-2871	114	19	0	0	NUM
cana-2871	114	20	,	,	PUNCT
cana-2871	114	21	hn(0	hn(0	NOUN
cana-2871	114	22	)	)	PUNCT
cana-2871	114	23	>	>	X
cana-2871	114	24	0	0	NUM
cana-2871	114	25	,	,	PUNCT
cana-2871	114	26	and	and	CCONJ
cana-2871	114	27	ha(0	ha(0	NOUN
cana-2871	114	28	)	)	PUNCT
cana-2871	114	29	>	>	X
cana-2871	114	30	0	0	PUNCT
cana-2871	114	31	are	be	AUX
cana-2871	114	32	initial	initial	ADJ
cana-2871	114	33	condition	condition	NOUN
cana-2871	114	34	10	10	NUM
cana-2871	114	35	.	.	PUNCT
cana-2871	115	1	determination	determination	NOUN
cana-2871	115	2	of	of	ADP
cana-2871	115	3	fixed	fix	VERB
cana-2871	115	4	points	point	NOUN
cana-2871	115	5	to	to	PART
cana-2871	115	6	find	find	VERB
cana-2871	115	7	the	the	DET
cana-2871	115	8	equilibrium	equilibrium	NOUN
cana-2871	115	9	points(hs̃,hĩ,hc̃,hñ	points(hs̃,hĩ,hc̃,hñ	NOUN
cana-2871	115	10	,	,	PUNCT
cana-2871	115	11	hã	hã	PRON
cana-2871	115	12	)	)	PUNCT
cana-2871	115	13	of	of	ADP
cana-2871	115	14	the	the	DET
cana-2871	115	15	system	system	NOUN
cana-2871	115	16	equations	equation	NOUN
cana-2871	115	17	(	(	PUNCT
cana-2871	115	18	1	1	NUM
cana-2871	115	19	-	-	SYM
cana-2871	115	20	5	5	NUM
cana-2871	115	21	)	)	PUNCT
cana-2871	115	22	,	,	PUNCT
cana-2871	115	23	we	we	PRON
cana-2871	115	24	set	set	VERB
cana-2871	115	25	the	the	DET
cana-2871	115	26	derivatives	derivative	NOUN
cana-2871	115	27	equal	equal	ADJ
cana-2871	115	28	to	to	ADP
cana-2871	115	29	zero	zero	NUM
cana-2871	115	30	.	.	PUNCT
cana-2871	116	1	so	so	ADV
cana-2871	116	2	,	,	PUNCT
cana-2871	116	3	at	at	ADP
cana-2871	116	4	equilibrium	equilibrium	NOUN
cana-2871	116	5	states	state	NOUN
cana-2871	116	6	,	,	PUNCT
cana-2871	116	7	we	we	PRON
cana-2871	116	8	get	get	VERB
cana-2871	116	9	ϖ−	ϖ−	PROPN
cana-2871	116	10	(	(	PUNCT
cana-2871	116	11	ϖ1	ϖ1	VERB
cana-2871	116	12	+	+	CCONJ
cana-2871	116	13	υ)hs̃	υ)hs̃	NOUN
cana-2871	117	1	=	=	NOUN
cana-2871	117	2	0	0	NUM
cana-2871	118	1	ϖ1hs̃	ϖ1hs̃	NUM
cana-2871	118	2	−	−	NOUN
cana-2871	118	3	(	(	PUNCT
cana-2871	118	4	ϖ2	ϖ2	NOUN
cana-2871	118	5	+	+	CCONJ
cana-2871	118	6	ϖ3	ϖ3	NOUN
cana-2871	118	7	+	+	CCONJ
cana-2871	118	8	υ)hĩ	υ)hĩ	NOUN
cana-2871	118	9	=	=	SYM
cana-2871	118	10	0	0	PUNCT
cana-2871	119	1	ϖ2hĩ	ϖ2hĩ	NUM
cana-2871	119	2	−	−	PROPN
cana-2871	119	3	(	(	PUNCT
cana-2871	119	4	ϖ4	ϖ4	PROPN
cana-2871	119	5	+	+	CCONJ
cana-2871	119	6	υ)hc̃	υ)hc̃	X
cana-2871	119	7	=	=	SYM
cana-2871	119	8	0	0	PUNCT
cana-2871	120	1	(	(	PUNCT
cana-2871	121	1	6	6	NUM
cana-2871	121	2	)	)	PUNCT
cana-2871	121	3	ϖ3hĩ	ϖ3hĩ	NOUN
cana-2871	121	4	−	−	PROPN
cana-2871	121	5	(	(	PUNCT
cana-2871	121	6	ϖ5	ϖ5	NOUN
cana-2871	121	7	+	+	CCONJ
cana-2871	121	8	υ)hñ	υ)hñ	NOUN
cana-2871	121	9	=	=	PUNCT
cana-2871	121	10	0	0	PUNCT
cana-2871	122	1	ϖ4hc̃	ϖ4hc̃	PROPN
cana-2871	123	1	+	+	CCONJ
cana-2871	123	2	ϖ5hñ	ϖ5hñ	PRON
cana-2871	123	3	−	−	PROPN
cana-2871	124	1	(	(	PUNCT
cana-2871	124	2	υ+	υ+	X
cana-2871	124	3	a)hã	a)hã	X
cana-2871	124	4	=	=	PUNCT
cana-2871	124	5	0\	0\	PROPN
cana-2871	124	6	4	4	NUM
cana-2871	124	7	.	.	PUNCT
cana-2871	124	8	equilibrium	equilibrium	NOUN
cana-2871	124	9	states	state	VERB
cana-2871	124	10	4.1	4.1	NUM
cana-2871	124	11	hiv	hiv	PROPN
cana-2871	124	12	free	free	ADJ
cana-2871	124	13	equilibrium	equilibrium	NOUN
cana-2871	124	14	(	(	PUNCT
cana-2871	124	15	hfe	hfe	PROPN
cana-2871	124	16	)	)	PUNCT
cana-2871	124	17	state	state	NOUN
cana-2871	124	18	the	the	DET
cana-2871	124	19	hiv	hiv	PROPN
cana-2871	124	20	free	free	ADJ
cana-2871	124	21	equilibrium	equilibrium	NOUN
cana-2871	124	22	for	for	ADP
cana-2871	124	23	the	the	DET
cana-2871	124	24	hfe	hfe	PROPN
cana-2871	124	25	,	,	PUNCT
cana-2871	124	26	we	we	PRON
cana-2871	124	27	replace	replace	VERB
cana-2871	124	28	the	the	DET
cana-2871	124	29	variables	variable	NOUN
cana-2871	124	30	as	as	ADP
cana-2871	124	31	𝔈0	𝔈0	NOUN
cana-2871	124	32	=	=	SYM
cana-2871	124	33	(	(	PUNCT
cana-2871	124	34	hs̃,hĩ,hc̃,hñ	hs̃,hĩ,hc̃,hñ	X
cana-2871	124	35	,	,	PUNCT
cana-2871	124	36	hã	hã	PRON
cana-2871	124	37	)	)	PUNCT
cana-2871	125	1	=	=	SYM
cana-2871	125	2	(	(	PUNCT
cana-2871	125	3	hs	hs	X
cana-2871	125	4	0	0	PROPN
cana-2871	125	5	,	,	PUNCT
cana-2871	125	6	hi	hi	INTJ
cana-2871	125	7	0	0	NUM
cana-2871	125	8	,	,	PUNCT
cana-2871	125	9	hc	hc	NOUN
cana-2871	125	10	0,hn	0,hn	NOUN
cana-2871	125	11	0,ha	0,ha	NOUN
cana-2871	125	12	0	0	NUM
cana-2871	125	13	)	)	PUNCT
cana-2871	125	14	is	be	AUX
cana-2871	125	15	characterized	characterize	VERB
cana-2871	125	16	as	as	ADP
cana-2871	125	17	the	the	DET
cana-2871	125	18	place	place	NOUN
cana-2871	125	19	where	where	SCONJ
cana-2871	125	20	no	no	DET
cana-2871	125	21	disease	disease	NOUN
cana-2871	125	22	is	be	AUX
cana-2871	125	23	available	available	ADJ
cana-2871	125	24	in	in	ADP
cana-2871	125	25	the	the	DET
cana-2871	125	26	populace	populace	NOUN
cana-2871	125	27	.	.	PUNCT
cana-2871	126	1	every	every	DET
cana-2871	126	2	one	one	NUM
cana-2871	126	3	of	of	ADP
cana-2871	126	4	the	the	DET
cana-2871	126	5	contaminated	contaminate	VERB
cana-2871	126	6	classes	class	NOUN
cana-2871	126	7	will	will	AUX
cana-2871	126	8	be	be	AUX
cana-2871	126	9	equivalent	equivalent	ADJ
cana-2871	126	10	to	to	ADP
cana-2871	126	11	zero	zero	NUM
cana-2871	126	12	.	.	PUNCT
cana-2871	127	1	dhs	dhs	PROPN
cana-2871	127	2	d𝔱	d𝔱	PROPN
cana-2871	128	1	=	=	PUNCT
cana-2871	128	2	ϖ−	ϖ−	PROPN
cana-2871	128	3	(	(	PUNCT
cana-2871	128	4	ϖ1	ϖ1	VERB
cana-2871	128	5	+	+	CCONJ
cana-2871	128	6	υ	υ	NOUN
cana-2871	128	7	)	)	PUNCT
cana-2871	128	8	hs	hs	NOUN
cana-2871	129	1	=	=	NOUN
cana-2871	129	2	0	0	NUM
cana-2871	130	1	ϖ−	ϖ−	NOUN
cana-2871	130	2	ϖ1hs	ϖ1hs	PUNCT
cana-2871	130	3	−	−	PROPN
cana-2871	130	4	υhs	υhs	NOUN
cana-2871	130	5	=	=	SYM
cana-2871	130	6	0	0	PUNCT
cana-2871	130	7	but	but	CCONJ
cana-2871	130	8	,	,	PUNCT
cana-2871	130	9	ϖ1	ϖ1	PROPN
cana-2871	130	10	=	=	SYM
cana-2871	130	11	0	0	NUM
cana-2871	130	12	ϖ−	ϖ−	PROPN
cana-2871	130	13	υhs	υhs	NOUN
cana-2871	130	14	=	=	SYM
cana-2871	130	15	0	0	NUM
cana-2871	130	16	hs	hs	PROPN
cana-2871	130	17	=	=	NOUN
cana-2871	130	18	ϖ	ϖ	PROPN
cana-2871	130	19	υ	υ	NOUN
cana-2871	130	20	thus	thus	ADV
cana-2871	130	21	,	,	PUNCT
cana-2871	130	22	the	the	DET
cana-2871	130	23	hiv	hiv	PROPN
cana-2871	130	24	free	free	PROPN
cana-2871	130	25	equilibrium	equilibrium	NOUN
cana-2871	130	26	satisfies	satisfy	VERB
cana-2871	130	27	𝔈0	𝔈0	NOUN
cana-2871	130	28	=	=	SYM
cana-2871	130	29	(	(	PUNCT
cana-2871	130	30	hs	hs	X
cana-2871	130	31	0	0	PROPN
cana-2871	130	32	,	,	PUNCT
cana-2871	130	33	hi	hi	INTJ
cana-2871	130	34	0	0	NUM
cana-2871	130	35	,	,	PUNCT
cana-2871	130	36	hc	hc	NOUN
cana-2871	130	37	0,hn	0,hn	NOUN
cana-2871	130	38	0,ha	0,ha	NOUN
cana-2871	130	39	0	0	NUM
cana-2871	130	40	)	)	PUNCT
cana-2871	130	41	=	=	PRON
cana-2871	131	1	(	(	PUNCT
cana-2871	131	2	ϖ	ϖ	INTJ
cana-2871	131	3	υ	υ	INTJ
cana-2871	131	4	,	,	PUNCT
cana-2871	131	5	0,0,0,0	0,0,0,0	NOUN
cana-2871	131	6	)	)	PUNCT
cana-2871	131	7	4.2	4.2	NUM
cana-2871	131	8	hiv	hiv	PROPN
cana-2871	131	9	endemic	endemic	ADJ
cana-2871	131	10	equilibrium	equilibrium	NOUN
cana-2871	131	11	(	(	PUNCT
cana-2871	131	12	hee	hee	NOUN
cana-2871	131	13	)	)	PUNCT
cana-2871	131	14	state	state	NOUN
cana-2871	131	15	for	for	ADP
cana-2871	131	16	the	the	DET
cana-2871	131	17	hee	hee	PROPN
cana-2871	131	18	,	,	PUNCT
cana-2871	131	19	we	we	PRON
cana-2871	131	20	replace	replace	VERB
cana-2871	131	21	the	the	DET
cana-2871	131	22	variables	variable	NOUN
cana-2871	131	23	as	as	ADP
cana-2871	131	24	𝔈1	𝔈1	NUM
cana-2871	131	25	=	=	PUNCT
cana-2871	131	26	(	(	PUNCT
cana-2871	131	27	hs̃,hĩ,hc̃,hñ	hs̃,hĩ,hc̃,hñ	X
cana-2871	131	28	,	,	PUNCT
cana-2871	131	29	hã	hã	PRON
cana-2871	131	30	)	)	PUNCT
cana-2871	132	1	=	=	SYM
cana-2871	132	2	(	(	PUNCT
cana-2871	132	3	hs	hs	X
cana-2871	132	4	1	1	NUM
cana-2871	132	5	,	,	PUNCT
cana-2871	132	6	hi	hi	INTJ
cana-2871	132	7	1	1	NUM
cana-2871	132	8	,	,	PUNCT
cana-2871	132	9	hc	hc	PROPN
cana-2871	132	10	1,hn	1,hn	NUM
cana-2871	132	11	1,ha	1,ha	NUM
cana-2871	132	12	1	1	NUM
cana-2871	132	13	)	)	PUNCT
cana-2871	132	14	is	be	AUX
cana-2871	132	15	defined	define	VERB
cana-2871	132	16	as	as	ADP
cana-2871	132	17	areas	area	NOUN
cana-2871	132	18	where	where	SCONJ
cana-2871	132	19	the	the	DET
cana-2871	132	20	population	population	NOUN
cana-2871	132	21	has	have	VERB
cana-2871	132	22	hiv	hiv	PROPN
cana-2871	132	23	.	.	PUNCT
cana-2871	133	1	in	in	ADP
cana-2871	133	2	this	this	DET
cana-2871	133	3	case	case	NOUN
cana-2871	133	4	,	,	PUNCT
cana-2871	133	5	all	all	DET
cana-2871	133	6	affected	affect	VERB
cana-2871	133	7	classes	class	NOUN
cana-2871	133	8	do	do	AUX
cana-2871	133	9	not	not	PART
cana-2871	133	10	equal	equal	VERB
cana-2871	133	11	zero	zero	NUM
cana-2871	133	12	.	.	PUNCT
cana-2871	134	1	the	the	DET
cana-2871	134	2	point	point	NOUN
cana-2871	134	3	at	at	ADP
cana-2871	134	4	which	which	PRON
cana-2871	134	5	the	the	DET
cana-2871	134	6	disease	disease	NOUN
cana-2871	134	7	exists	exist	VERB
cana-2871	134	8	within	within	ADP
cana-2871	134	9	the	the	DET
cana-2871	134	10	susceptible	susceptible	ADJ
cana-2871	134	11	population	population	NOUN
cana-2871	134	12	referred	refer	VERB
cana-2871	134	13	to	to	ADP
cana-2871	134	14	as	as	ADP
cana-2871	134	15	the	the	DET
cana-2871	134	16	endemic	endemic	ADJ
cana-2871	134	17	equilibrium	equilibrium	NOUN
cana-2871	134	18	.	.	PUNCT
cana-2871	135	1	we	we	PRON
cana-2871	135	2	set	set	VERB
cana-2871	135	3	the	the	DET
cana-2871	135	4	equations	equation	NOUN
cana-2871	135	5	resulting	result	VERB
cana-2871	135	6	from	from	ADP
cana-2871	135	7	our	our	PRON
cana-2871	135	8	model	model	NOUN
cana-2871	135	9	is	be	AUX
cana-2871	135	10	zero	zero	NUM
cana-2871	135	11	.	.	PUNCT
cana-2871	136	1	from	from	ADP
cana-2871	136	2	dhs	dhs	PROPN
cana-2871	136	3	d𝔱	d𝔱	PROPN
cana-2871	137	1	=	=	PUNCT
cana-2871	137	2	ϖ−	ϖ−	PROPN
cana-2871	137	3	(	(	PUNCT
cana-2871	137	4	ϖ1	ϖ1	VERB
cana-2871	137	5	+	+	CCONJ
cana-2871	137	6	υ	υ	NOUN
cana-2871	137	7	)	)	PUNCT
cana-2871	137	8	hs	hs	PROPN
cana-2871	137	9	making	make	VERB
cana-2871	137	10	hs	hs	PRON
cana-2871	137	11	the	the	DET
cana-2871	137	12	subject	subject	NOUN
cana-2871	137	13	of	of	ADP
cana-2871	137	14	the	the	DET
cana-2871	137	15	equation	equation	NOUN
cana-2871	137	16	we	we	PRON
cana-2871	137	17	get	get	VERB
cana-2871	137	18	;	;	PUNCT
cana-2871	137	19	ϖ−	ϖ−	X
cana-2871	137	20	(	(	PUNCT
cana-2871	137	21	ϖ1	ϖ1	VERB
cana-2871	137	22	+	+	CCONJ
cana-2871	137	23	υ	υ	NOUN
cana-2871	137	24	)	)	PUNCT
cana-2871	137	25	hs	hs	NOUN
cana-2871	137	26	=	=	SYM
cana-2871	137	27	0	0	NUM
cana-2871	137	28	communications	communication	NOUN
cana-2871	137	29	on	on	ADP
cana-2871	137	30	applied	apply	VERB
cana-2871	137	31	nonlinear	nonlinear	ADJ
cana-2871	137	32	analysis	analysis	NOUN
cana-2871	137	33	issn	issn	NOUN
cana-2871	137	34	:	:	PUNCT
cana-2871	137	35	1074	1074	NUM
cana-2871	137	36	-	-	PUNCT
cana-2871	137	37	133x	133x	NUM
cana-2871	137	38	vol	vol	NOUN
cana-2871	137	39	32	32	NUM
cana-2871	137	40	no	no	NOUN
cana-2871	137	41	.	.	PUNCT
cana-2871	138	1	4s	4s	NUM
cana-2871	138	2	(	(	PUNCT
cana-2871	138	3	2025	2025	NUM
cana-2871	138	4	)	)	PUNCT
cana-2871	138	5	557	557	NUM
cana-2871	138	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	138	7	hs	hs	PROPN
cana-2871	138	8	1	1	NUM
cana-2871	138	9	=	=	SYM
cana-2871	138	10	ϖ	ϖ	X
cana-2871	138	11	(	(	PUNCT
cana-2871	138	12	ϖ1+υ	ϖ1+υ	PROPN
cana-2871	138	13	)	)	PUNCT
cana-2871	138	14	from	from	ADP
cana-2871	138	15	dhi	dhi	PROPN
cana-2871	138	16	d𝔱	d𝔱	PROPN
cana-2871	138	17	=	=	PUNCT
cana-2871	138	18	ϖ1hs	ϖ1hs	PUNCT
cana-2871	138	19	−	−	PROPN
cana-2871	138	20	(	(	PUNCT
cana-2871	138	21	ϖ2	ϖ2	NOUN
cana-2871	138	22	+	+	CCONJ
cana-2871	138	23	ϖ3	ϖ3	NOUN
cana-2871	138	24	+	+	CCONJ
cana-2871	138	25	υ	υ	X
cana-2871	138	26	)	)	PUNCT
cana-2871	138	27	hi	hi	ADV
cana-2871	138	28	making	make	VERB
cana-2871	139	1	hi	hi	INTJ
cana-2871	139	2	the	the	DET
cana-2871	139	3	subject	subject	NOUN
cana-2871	139	4	of	of	ADP
cana-2871	139	5	the	the	DET
cana-2871	139	6	equation	equation	NOUN
cana-2871	139	7	we	we	PRON
cana-2871	139	8	get	get	VERB
cana-2871	139	9	;	;	PUNCT
cana-2871	139	10	ϖ1hs	ϖ1hs	PUNCT
cana-2871	139	11	−	−	PROPN
cana-2871	139	12	(	(	PUNCT
cana-2871	139	13	ϖ2	ϖ2	NOUN
cana-2871	139	14	+	+	CCONJ
cana-2871	139	15	ϖ3	ϖ3	NOUN
cana-2871	139	16	+	+	CCONJ
cana-2871	139	17	υ	υ	NOUN
cana-2871	139	18	)	)	PUNCT
cana-2871	139	19	hi	hi	INTJ
cana-2871	140	1	=	=	SYM
cana-2871	140	2	0	0	NUM
cana-2871	140	3	hi	hi	INTJ
cana-2871	140	4	1	1	NUM
cana-2871	140	5	=	=	SYM
cana-2871	140	6	ϖ1	ϖ1	VERB
cana-2871	140	7	(	(	PUNCT
cana-2871	140	8	ϖ2+ϖ3+υ	ϖ2+ϖ3+υ	NOUN
cana-2871	140	9	)	)	PUNCT
cana-2871	140	10	hs	hs	PROPN
cana-2871	140	11	1	1	NUM
cana-2871	140	12	from	from	ADP
cana-2871	140	13	dhc	dhc	NUM
cana-2871	140	14	d𝔱	d𝔱	NOUN
cana-2871	140	15	=	=	SYM
cana-2871	140	16	ϖ2hi	ϖ2hi	NOUN
cana-2871	140	17	−	−	PROPN
cana-2871	140	18	(	(	PUNCT
cana-2871	140	19	ϖ4	ϖ4	PROPN
cana-2871	140	20	+	+	CCONJ
cana-2871	140	21	υ	υ	X
cana-2871	140	22	)	)	PUNCT
cana-2871	140	23	hc	hc	VERB
cana-2871	140	24	making	make	VERB
cana-2871	140	25	hc	hc	ADP
cana-2871	140	26	the	the	DET
cana-2871	140	27	subject	subject	NOUN
cana-2871	140	28	of	of	ADP
cana-2871	140	29	the	the	DET
cana-2871	140	30	equation	equation	NOUN
cana-2871	140	31	we	we	PRON
cana-2871	140	32	get	get	VERB
cana-2871	140	33	;	;	PUNCT
cana-2871	140	34	ϖ2hi	ϖ2hi	X
cana-2871	140	35	−	−	PROPN
cana-2871	140	36	(	(	PUNCT
cana-2871	140	37	ϖ4	ϖ4	PROPN
cana-2871	140	38	+	+	CCONJ
cana-2871	140	39	υ	υ	NOUN
cana-2871	140	40	)	)	PUNCT
cana-2871	140	41	hc	hc	NOUN
cana-2871	140	42	=	=	NOUN
cana-2871	140	43	0	0	PUNCT
cana-2871	140	44	hc	hc	PROPN
cana-2871	140	45	1	1	NUM
cana-2871	140	46	=	=	SYM
cana-2871	140	47	ϖ2	ϖ2	NOUN
cana-2871	140	48	(	(	PUNCT
cana-2871	140	49	ϖ4+υ	ϖ4+υ	NOUN
cana-2871	140	50	)	)	PUNCT
cana-2871	140	51	hi	hi	NOUN
cana-2871	140	52	1	1	NUM
cana-2871	140	53	from	from	ADP
cana-2871	140	54	dhn	dhn	PROPN
cana-2871	140	55	d𝔱	d𝔱	PROPN
cana-2871	140	56	=	=	SYM
cana-2871	140	57	ϖ3hi	ϖ3hi	PROPN
cana-2871	140	58	−	−	PROPN
cana-2871	140	59	(	(	PUNCT
cana-2871	140	60	ϖ5	ϖ5	NOUN
cana-2871	140	61	+	+	CCONJ
cana-2871	140	62	υ	υ	NOUN
cana-2871	140	63	)	)	PUNCT
cana-2871	140	64	hn	hn	PROPN
cana-2871	140	65	making	make	VERB
cana-2871	140	66	hnthe	hnthe	ADJ
cana-2871	140	67	subject	subject	NOUN
cana-2871	140	68	of	of	ADP
cana-2871	140	69	the	the	DET
cana-2871	140	70	equation	equation	NOUN
cana-2871	140	71	we	we	PRON
cana-2871	140	72	get	get	VERB
cana-2871	140	73	;	;	PUNCT
cana-2871	140	74	ϖ3hi	ϖ3hi	PUNCT
cana-2871	140	75	−	−	PROPN
cana-2871	140	76	(	(	PUNCT
cana-2871	140	77	ϖ5	ϖ5	NOUN
cana-2871	140	78	+	+	CCONJ
cana-2871	140	79	υ	υ	NOUN
cana-2871	140	80	)	)	PUNCT
cana-2871	141	1	hn	hn	PROPN
cana-2871	141	2	=	=	NOUN
cana-2871	141	3	0	0	PROPN
cana-2871	142	1	hn	hn	PROPN
cana-2871	142	2	1	1	NUM
cana-2871	142	3	=	=	SYM
cana-2871	142	4	ϖ3	ϖ3	NOUN
cana-2871	142	5	(	(	PUNCT
cana-2871	142	6	ϖ5+υ	ϖ5+υ	PROPN
cana-2871	142	7	)	)	PUNCT
cana-2871	142	8	hi	hi	NOUN
cana-2871	142	9	1	1	NUM
cana-2871	142	10	from	from	ADP
cana-2871	142	11	dha	dha	PROPN
cana-2871	142	12	d𝔱	d𝔱	PROPN
cana-2871	142	13	=	=	PUNCT
cana-2871	142	14	ϖ4hc	ϖ4hc	PUNCT
cana-2871	143	1	+	+	CCONJ
cana-2871	143	2	ϖ5hn	ϖ5hn	ADP
cana-2871	143	3	−	−	X
cana-2871	143	4	(	(	PUNCT
cana-2871	143	5	υ+	υ+	X
cana-2871	143	6	a	a	X
cana-2871	143	7	)	)	PUNCT
cana-2871	143	8	ha	ha	INTJ
cana-2871	143	9	making	make	VERB
cana-2871	143	10	hathe	hathe	DET
cana-2871	143	11	subject	subject	NOUN
cana-2871	143	12	of	of	ADP
cana-2871	143	13	the	the	DET
cana-2871	143	14	equation	equation	NOUN
cana-2871	143	15	we	we	PRON
cana-2871	143	16	get	get	VERB
cana-2871	143	17	;	;	PUNCT
cana-2871	143	18	ϖ4hc	ϖ4hc	X
cana-2871	143	19	+	+	CCONJ
cana-2871	143	20	ϖ5hn	ϖ5hn	ADP
cana-2871	143	21	−	−	X
cana-2871	143	22	(	(	PUNCT
cana-2871	143	23	υ+	υ+	X
cana-2871	143	24	a	a	X
cana-2871	143	25	)	)	PUNCT
cana-2871	143	26	ha	ha	NOUN
cana-2871	143	27	=	=	SYM
cana-2871	143	28	0	0	NUM
cana-2871	143	29	ha	ha	INTJ
cana-2871	143	30	1	1	NUM
cana-2871	143	31	=	=	SYM
cana-2871	143	32	ϖ4	ϖ4	NOUN
cana-2871	143	33	(	(	PUNCT
cana-2871	143	34	υ+a	υ+a	X
cana-2871	143	35	)	)	PUNCT
cana-2871	143	36	hc	hc	PROPN
cana-2871	143	37	1	1	NUM
cana-2871	143	38	+	+	CCONJ
cana-2871	143	39	ϖ5	ϖ5	NOUN
cana-2871	143	40	(	(	PUNCT
cana-2871	143	41	υ+a	υ+a	PROPN
cana-2871	143	42	)	)	PUNCT
cana-2871	143	43	hn	hn	PROPN
cana-2871	143	44	1	1	NUM
cana-2871	143	45	by	by	ADP
cana-2871	143	46	substituting	substitute	VERB
cana-2871	143	47	the	the	DET
cana-2871	143	48	value	value	NOUN
cana-2871	143	49	of	of	ADP
cana-2871	143	50	hs	hs	PROPN
cana-2871	143	51	1	1	NUM
cana-2871	143	52	in	in	ADP
cana-2871	143	53	hi	hi	INTJ
cana-2871	143	54	1	1	NUM
cana-2871	143	55	we	we	PRON
cana-2871	143	56	getting	get	VERB
cana-2871	143	57	,	,	PUNCT
cana-2871	143	58	hi	hi	INTJ
cana-2871	143	59	1	1	NUM
cana-2871	143	60	=	=	SYM
cana-2871	143	61	ϖ1	ϖ1	VERB
cana-2871	143	62	(	(	PUNCT
cana-2871	143	63	ϖ2+ϖ3+υ	ϖ2+ϖ3+υ	NOUN
cana-2871	143	64	)	)	PUNCT
cana-2871	143	65	ϖ	ϖ	NOUN
cana-2871	143	66	(	(	PUNCT
cana-2871	143	67	ϖ1+υ	ϖ1+υ	NOUN
cana-2871	143	68	)	)	PUNCT
cana-2871	143	69	=	=	SYM
cana-2871	143	70	ϖϖ1	ϖϖ1	ADJ
cana-2871	143	71	(	(	PUNCT
cana-2871	143	72	ϖ1+υ)(ϖ2+ϖ3+υ	ϖ1+υ)(ϖ2+ϖ3+υ	X
cana-2871	143	73	)	)	PUNCT
cana-2871	143	74	by	by	ADP
cana-2871	143	75	putting	put	VERB
cana-2871	143	76	the	the	DET
cana-2871	143	77	value	value	NOUN
cana-2871	143	78	of	of	ADP
cana-2871	143	79	hi	hi	INTJ
cana-2871	143	80	1	1	NUM
cana-2871	143	81	in	in	ADP
cana-2871	143	82	hc	hc	ADP
cana-2871	143	83	1	1	NUM
cana-2871	143	84	we	we	PRON
cana-2871	143	85	have	have	VERB
cana-2871	143	86	,	,	PUNCT
cana-2871	143	87	hc	hc	PROPN
cana-2871	143	88	1	1	NUM
cana-2871	143	89	=	=	SYM
cana-2871	143	90	ϖ2	ϖ2	NOUN
cana-2871	143	91	(	(	PUNCT
cana-2871	143	92	ϖ4+υ	ϖ4+υ	PROPN
cana-2871	143	93	)	)	PUNCT
cana-2871	143	94	ϖ1	ϖ1	NOUN
cana-2871	143	95	(	(	PUNCT
cana-2871	143	96	ϖ2+ϖ3+υ	ϖ2+ϖ3+υ	NOUN
cana-2871	143	97	)	)	PUNCT
cana-2871	143	98	ϖ	ϖ	NOUN
cana-2871	143	99	(	(	PUNCT
cana-2871	143	100	ϖ1+υ	ϖ1+υ	NOUN
cana-2871	143	101	)	)	PUNCT
cana-2871	143	102	=	=	SYM
cana-2871	143	103	ϖϖ1ϖ2	ϖϖ1ϖ2	X
cana-2871	143	104	(	(	PUNCT
cana-2871	143	105	ϖ1+υ)(ϖ2+ϖ3+υ)(ϖ4+υ	ϖ1+υ)(ϖ2+ϖ3+υ)(ϖ4+υ	NOUN
cana-2871	143	106	)	)	PUNCT
cana-2871	143	107	by	by	ADP
cana-2871	143	108	substituting	substitute	VERB
cana-2871	143	109	the	the	DET
cana-2871	143	110	value	value	NOUN
cana-2871	143	111	of	of	ADP
cana-2871	143	112	hi	hi	INTJ
cana-2871	143	113	1	1	NUM
cana-2871	143	114	in	in	ADP
cana-2871	143	115	hn	hn	PROPN
cana-2871	143	116	1	1	NUM
cana-2871	143	117	we	we	PRON
cana-2871	143	118	getting	get	VERB
cana-2871	143	119	,	,	PUNCT
cana-2871	143	120	hn	hn	PROPN
cana-2871	143	121	1	1	X
cana-2871	143	122	=	=	SYM
cana-2871	143	123	ϖ3	ϖ3	NOUN
cana-2871	143	124	(	(	PUNCT
cana-2871	143	125	ϖ5+υ	ϖ5+υ	PROPN
cana-2871	143	126	)	)	PUNCT
cana-2871	143	127	ϖ1	ϖ1	NOUN
cana-2871	143	128	(	(	PUNCT
cana-2871	143	129	ϖ2+ϖ3+υ	ϖ2+ϖ3+υ	NOUN
cana-2871	143	130	)	)	PUNCT
cana-2871	143	131	ϖ	ϖ	NOUN
cana-2871	143	132	(	(	PUNCT
cana-2871	143	133	ϖ1+υ	ϖ1+υ	NOUN
cana-2871	143	134	)	)	PUNCT
cana-2871	143	135	=	=	PUNCT
cana-2871	144	1	ϖϖ1ϖ3	ϖϖ1ϖ3	PROPN
cana-2871	144	2	(	(	PUNCT
cana-2871	144	3	ϖ1+υ)(ϖ2+ϖ3+υ)(ϖ5+υ	ϖ1+υ)(ϖ2+ϖ3+υ)(ϖ5+υ	NOUN
cana-2871	144	4	)	)	PUNCT
cana-2871	144	5	by	by	ADP
cana-2871	144	6	substituting	substitute	VERB
cana-2871	144	7	the	the	DET
cana-2871	144	8	values	value	NOUN
cana-2871	144	9	of	of	ADP
cana-2871	144	10	hc	hc	PROPN
cana-2871	144	11	1	1	NUM
cana-2871	144	12	and	and	CCONJ
cana-2871	144	13	hn	hn	PROPN
cana-2871	144	14	1	1	NUM
cana-2871	144	15	in	in	ADP
cana-2871	144	16	ha	ha	INTJ
cana-2871	144	17	1	1	NUM
cana-2871	144	18	we	we	PRON
cana-2871	144	19	have	have	VERB
cana-2871	144	20	,	,	PUNCT
cana-2871	144	21	ha	ha	INTJ
cana-2871	144	22	1	1	NUM
cana-2871	144	23	=	=	SYM
cana-2871	144	24	ϖ4	ϖ4	NOUN
cana-2871	144	25	(	(	PUNCT
cana-2871	144	26	υ+a	υ+a	X
cana-2871	144	27	)	)	PUNCT
cana-2871	145	1	ϖ2	ϖ2	NOUN
cana-2871	145	2	(	(	PUNCT
cana-2871	145	3	ϖ4+υ	ϖ4+υ	PROPN
cana-2871	145	4	)	)	PUNCT
cana-2871	145	5	ϖ1	ϖ1	NOUN
cana-2871	145	6	(	(	PUNCT
cana-2871	145	7	ϖ2+ϖ3+υ	ϖ2+ϖ3+υ	NOUN
cana-2871	145	8	)	)	PUNCT
cana-2871	145	9	ϖ	ϖ	NOUN
cana-2871	145	10	(	(	PUNCT
cana-2871	145	11	ϖ1+υ	ϖ1+υ	NOUN
cana-2871	145	12	)	)	PUNCT
cana-2871	145	13	+	+	NUM
cana-2871	145	14	ϖ5	ϖ5	ADJ
cana-2871	145	15	(	(	PUNCT
cana-2871	145	16	υ+a	υ+a	X
cana-2871	145	17	)	)	PUNCT
cana-2871	145	18	ϖ3	ϖ3	NOUN
cana-2871	145	19	(	(	PUNCT
cana-2871	145	20	ϖ5+υ	ϖ5+υ	PROPN
cana-2871	145	21	)	)	PUNCT
cana-2871	145	22	ϖ1	ϖ1	NOUN
cana-2871	145	23	(	(	PUNCT
cana-2871	145	24	ϖ2+ϖ3+υ	ϖ2+ϖ3+υ	NOUN
cana-2871	145	25	)	)	PUNCT
cana-2871	145	26	ϖ	ϖ	NOUN
cana-2871	145	27	(	(	PUNCT
cana-2871	145	28	ϖ1+υ	ϖ1+υ	NOUN
cana-2871	145	29	)	)	PUNCT
cana-2871	145	30	ha	ha	INTJ
cana-2871	145	31	1	1	NUM
cana-2871	145	32	=	=	NOUN
cana-2871	145	33	ϖϖ1ϖ2ϖ4(ϖ5+υ)+ϖϖ1ϖ2ϖ5(ϖ4+υ	ϖϖ1ϖ2ϖ4(ϖ5+υ)+ϖϖ1ϖ2ϖ5(ϖ4+υ	NOUN
cana-2871	145	34	)	)	PUNCT
cana-2871	145	35	(	(	PUNCT
cana-2871	145	36	υ+a)(ϖ4+υ)(ϖ5+υ)(ϖ2+ϖ3+υ)(ϖ1+υ	υ+a)(ϖ4+υ)(ϖ5+υ)(ϖ2+ϖ3+υ)(ϖ1+υ	NOUN
cana-2871	145	37	)	)	PUNCT
cana-2871	145	38	communications	communication	NOUN
cana-2871	145	39	on	on	ADP
cana-2871	145	40	applied	apply	VERB
cana-2871	145	41	nonlinear	nonlinear	ADJ
cana-2871	145	42	analysis	analysis	NOUN
cana-2871	145	43	issn	issn	NOUN
cana-2871	145	44	:	:	PUNCT
cana-2871	145	45	1074	1074	NUM
cana-2871	145	46	-	-	PUNCT
cana-2871	145	47	133x	133x	NUM
cana-2871	145	48	vol	vol	NOUN
cana-2871	145	49	32	32	NUM
cana-2871	145	50	no	no	NOUN
cana-2871	145	51	.	.	PUNCT
cana-2871	146	1	4s	4s	NUM
cana-2871	146	2	(	(	PUNCT
cana-2871	146	3	2025	2025	NUM
cana-2871	146	4	)	)	PUNCT
cana-2871	146	5	558	558	NUM
cana-2871	146	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	146	7	hence	hence	ADV
cana-2871	146	8	,	,	PUNCT
cana-2871	146	9	the	the	DET
cana-2871	146	10	hiv	hiv	PROPN
cana-2871	146	11	endemic	endemic	ADJ
cana-2871	146	12	equilibrium	equilibrium	NOUN
cana-2871	146	13	satisfies	satisfy	VERB
cana-2871	146	14	𝔈1	𝔈1	PROPN
cana-2871	146	15	=	=	SYM
cana-2871	146	16	(	(	PUNCT
cana-2871	146	17	hs	hs	X
cana-2871	146	18	1	1	NUM
cana-2871	146	19	,	,	PUNCT
cana-2871	146	20	hi	hi	INTJ
cana-2871	146	21	1	1	NUM
cana-2871	146	22	,	,	PUNCT
cana-2871	146	23	hc	hc	PROPN
cana-2871	146	24	1,hn	1,hn	NUM
cana-2871	146	25	1,ha	1,ha	NUM
cana-2871	146	26	1	1	NUM
cana-2871	146	27	)	)	PUNCT
cana-2871	146	28	=	=	PRON
cana-2871	146	29	(	(	PUNCT
cana-2871	146	30	ϖ	ϖ	X
cana-2871	146	31	(	(	PUNCT
cana-2871	146	32	ϖ1+υ	ϖ1+υ	PROPN
cana-2871	146	33	)	)	PUNCT
cana-2871	146	34	,	,	PUNCT
cana-2871	146	35	ϖϖ1	ϖϖ1	PROPN
cana-2871	146	36	(	(	PUNCT
cana-2871	146	37	ϖ1+υ)(ϖ2+ϖ3+υ	ϖ1+υ)(ϖ2+ϖ3+υ	PROPN
cana-2871	146	38	)	)	PUNCT
cana-2871	146	39	,	,	PUNCT
cana-2871	146	40	ϖϖ1ϖ2	ϖϖ1ϖ2	X
cana-2871	146	41	(	(	PUNCT
cana-2871	146	42	ϖ1+υ)(ϖ2+ϖ3+υ)(ϖ4+υ	ϖ1+υ)(ϖ2+ϖ3+υ)(ϖ4+υ	NOUN
cana-2871	146	43	)	)	PUNCT
cana-2871	146	44	,	,	PUNCT
cana-2871	146	45	ϖϖ1ϖ3	ϖϖ1ϖ3	PROPN
cana-2871	146	46	(	(	PUNCT
cana-2871	146	47	ϖ1+υ)(ϖ2+ϖ3+υ)(ϖ5+υ	ϖ1+υ)(ϖ2+ϖ3+υ)(ϖ5+υ	NOUN
cana-2871	146	48	)	)	PUNCT
cana-2871	146	49	,	,	PUNCT
cana-2871	146	50	ϖϖ1ϖ2ϖ4(ϖ5+υ)+ϖϖ1ϖ2ϖ5(ϖ4+υ	ϖϖ1ϖ2ϖ4(ϖ5+υ)+ϖϖ1ϖ2ϖ5(ϖ4+υ	NOUN
cana-2871	146	51	)	)	PUNCT
cana-2871	146	52	(	(	PUNCT
cana-2871	146	53	υ+a)(ϖ4+υ)(ϖ5+υ)(ϖ2+ϖ3+υ)(ϖ1+υ	υ+a)(ϖ4+υ)(ϖ5+υ)(ϖ2+ϖ3+υ)(ϖ1+υ	NUM
cana-2871	146	54	)	)	PUNCT
cana-2871	146	55	)	)	PUNCT
cana-2871	147	1	5	5	NUM
cana-2871	147	2	.	.	X
cana-2871	147	3	basic	basic	ADJ
cana-2871	147	4	reproduction	reproduction	NOUN
cana-2871	147	5	number	number	NOUN
cana-2871	147	6	(	(	PUNCT
cana-2871	147	7	𝐑𝟎	𝐑𝟎	PROPN
cana-2871	147	8	)	)	PUNCT
cana-2871	147	9	in	in	ADP
cana-2871	147	10	this	this	DET
cana-2871	147	11	segment	segment	NOUN
cana-2871	147	12	,	,	PUNCT
cana-2871	147	13	we	we	PRON
cana-2871	147	14	get	get	VERB
cana-2871	147	15	the	the	DET
cana-2871	147	16	basic	basic	ADJ
cana-2871	147	17	reproduction	reproduction	NOUN
cana-2871	147	18	number	number	NOUN
cana-2871	147	19	(	(	PUNCT
cana-2871	147	20	ℜ0	ℜ0	PROPN
cana-2871	147	21	)	)	PUNCT
cana-2871	147	22	which	which	PRON
cana-2871	147	23	is	be	AUX
cana-2871	147	24	defined	define	VERB
cana-2871	147	25	as	as	ADP
cana-2871	147	26	the	the	DET
cana-2871	147	27	quantity	quantity	NOUN
cana-2871	147	28	of	of	ADP
cana-2871	147	29	secondary	secondary	ADJ
cana-2871	147	30	infection	infection	NOUN
cana-2871	147	31	created	create	VERB
cana-2871	147	32	by	by	ADP
cana-2871	147	33	a	a	DET
cana-2871	147	34	single	single	ADJ
cana-2871	147	35	infected	infected	ADJ
cana-2871	147	36	person	person	NOUN
cana-2871	147	37	when	when	SCONJ
cana-2871	147	38	introduced	introduce	VERB
cana-2871	147	39	into	into	ADP
cana-2871	147	40	a	a	DET
cana-2871	147	41	totally	totally	ADV
cana-2871	147	42	susceptible	susceptible	ADJ
cana-2871	147	43	populace	populace	NOUN
cana-2871	147	44	.	.	PUNCT
cana-2871	148	1	to	to	PART
cana-2871	148	2	get	get	VERB
cana-2871	148	3	the	the	DET
cana-2871	148	4	basic	basic	ADJ
cana-2871	148	5	reproduction	reproduction	NOUN
cana-2871	148	6	number	number	NOUN
cana-2871	148	7	(	(	PUNCT
cana-2871	148	8	ℜ0	ℜ0	PROPN
cana-2871	148	9	)	)	PUNCT
cana-2871	148	10	,	,	PUNCT
cana-2871	148	11	we	we	PRON
cana-2871	148	12	take	take	VERB
cana-2871	148	13	on	on	ADP
cana-2871	148	14	the	the	DET
cana-2871	148	15	same	same	ADJ
cana-2871	148	16	methodology	methodology	NOUN
cana-2871	148	17	utilized	utilize	VERB
cana-2871	148	18	in	in	ADP
cana-2871	148	19	where	where	SCONJ
cana-2871	148	20	the	the	DET
cana-2871	148	21	authors	author	NOUN
cana-2871	148	22	utilized	utilize	VERB
cana-2871	148	23	ℱ	ℱ	PROPN
cana-2871	148	24	and	and	CCONJ
cana-2871	148	25	𝒱	𝒱	PROPN
cana-2871	148	26	of	of	ADP
cana-2871	148	27	two	two	NUM
cana-2871	148	28	matrices	matrix	NOUN
cana-2871	148	29	,	,	PUNCT
cana-2871	148	30	representing	represent	VERB
cana-2871	148	31	the	the	DET
cana-2871	148	32	remaining	remain	VERB
cana-2871	148	33	terms	term	NOUN
cana-2871	148	34	of	of	ADP
cana-2871	148	35	transfer	transfer	NOUN
cana-2871	148	36	as	as	ADP
cana-2871	148	37	𝒱	𝒱	PROPN
cana-2871	148	38	and	and	CCONJ
cana-2871	148	39	the	the	DET
cana-2871	148	40	new	new	ADJ
cana-2871	148	41	infection	infection	NOUN
cana-2871	148	42	terms	term	NOUN
cana-2871	148	43	as	as	ADP
cana-2871	148	44	ℱ.	ℱ.	PROPN
cana-2871	148	45	our	our	PRON
cana-2871	148	46	model	model	NOUN
cana-2871	148	47	has	have	VERB
cana-2871	148	48	only	only	ADV
cana-2871	148	49	five	five	NUM
cana-2871	148	50	compartments	compartment	NOUN
cana-2871	148	51	with	with	ADP
cana-2871	148	52	only	only	ADV
cana-2871	148	53	one	one	NUM
cana-2871	148	54	infective	infective	ADJ
cana-2871	148	55	compartment	compartment	NOUN
cana-2871	148	56	.	.	PUNCT
cana-2871	149	1	i.	i.	PROPN
cana-2871	149	2	e.	e.	PROPN
cana-2871	149	3	,	,	PUNCT
cana-2871	149	4	dhi	dhi	PROPN
cana-2871	149	5	d𝔱	d𝔱	PROPN
cana-2871	150	1	=	=	PUNCT
cana-2871	150	2	ϖ1hs	ϖ1hs	PUNCT
cana-2871	150	3	−	−	PROPN
cana-2871	150	4	(	(	PUNCT
cana-2871	150	5	ϖ2	ϖ2	NOUN
cana-2871	150	6	+	+	CCONJ
cana-2871	150	7	ϖ3	ϖ3	NOUN
cana-2871	150	8	+	+	CCONJ
cana-2871	150	9	υ	υ	X
cana-2871	150	10	)	)	PUNCT
cana-2871	150	11	hi	hi	INTJ
cana-2871	150	12	we	we	PRON
cana-2871	150	13	have	have	VERB
cana-2871	150	14	that	that	DET
cana-2871	150	15	ℱ	ℱ	PROPN
cana-2871	150	16	=	=	PUNCT
cana-2871	151	1	[	[	X
cana-2871	151	2	ϖ1hs	ϖ1hs	X
cana-2871	151	3	]	]	X
cana-2871	151	4	and	and	CCONJ
cana-2871	151	5	𝒱	𝒱	PROPN
cana-2871	151	6	=	=	SYM
cana-2871	152	1	[	[	X
cana-2871	152	2	(	(	PUNCT
cana-2871	152	3	ϖ2	ϖ2	NOUN
cana-2871	152	4	+	+	CCONJ
cana-2871	152	5	ϖ3	ϖ3	NOUN
cana-2871	152	6	+	+	CCONJ
cana-2871	152	7	υ	υ	X
cana-2871	152	8	)	)	PUNCT
cana-2871	152	9	hi	hi	ADP
cana-2871	152	10	]	]	X
cana-2871	152	11	at	at	ADP
cana-2871	152	12	the	the	DET
cana-2871	152	13	equilibrium	equilibrium	NOUN
cana-2871	152	14	of	of	ADP
cana-2871	152	15	disease	disease	NOUN
cana-2871	152	16	free	free	ADJ
cana-2871	152	17	,	,	PUNCT
cana-2871	152	18	the	the	DET
cana-2871	152	19	matrix	matrix	NOUN
cana-2871	152	20	ℱ	ℱ	PROPN
cana-2871	152	21	becomes	become	VERB
cana-2871	152	22	ℱ	ℱ	PROPN
cana-2871	152	23	=	=	PUNCT
cana-2871	153	1	[	[	X
cana-2871	153	2	ϖ1	ϖ1	X
cana-2871	153	3	ϖ	ϖ	INTJ
cana-2871	153	4	υ	υ	NOUN
cana-2871	153	5	]	]	PUNCT
cana-2871	153	6	at	at	ADP
cana-2871	153	7	the	the	DET
cana-2871	153	8	equilibrium	equilibrium	NOUN
cana-2871	153	9	of	of	ADP
cana-2871	153	10	disease	disease	NOUN
cana-2871	153	11	free	free	ADJ
cana-2871	153	12	,	,	PUNCT
cana-2871	153	13	the	the	DET
cana-2871	153	14	matrix	matrix	NOUN
cana-2871	153	15	𝒱	𝒱	NOUN
cana-2871	153	16	becomes	become	VERB
cana-2871	153	17	𝒱	𝒱	PROPN
cana-2871	153	18	=	=	PUNCT
cana-2871	153	19	(	(	PUNCT
cana-2871	153	20	ϖ2	ϖ2	NOUN
cana-2871	153	21	+	+	CCONJ
cana-2871	153	22	ϖ3	ϖ3	NOUN
cana-2871	153	23	+	+	CCONJ
cana-2871	153	24	υ	υ	X
cana-2871	153	25	)	)	PUNCT
cana-2871	153	26	the	the	DET
cana-2871	153	27	inverse	inverse	NOUN
cana-2871	153	28	matrix	matrix	NOUN
cana-2871	153	29	of	of	ADP
cana-2871	153	30	𝒱	𝒱	PROPN
cana-2871	153	31	becomes	become	VERB
cana-2871	153	32	𝒱−1	𝒱−1	NOUN
cana-2871	153	33	=	=	SYM
cana-2871	153	34	1	1	NUM
cana-2871	153	35	(	(	PUNCT
cana-2871	153	36	ϖ2	ϖ2	NOUN
cana-2871	153	37	+	+	CCONJ
cana-2871	153	38	ϖ3	ϖ3	NOUN
cana-2871	153	39	+	+	CCONJ
cana-2871	153	40	υ	υ	X
cana-2871	153	41	)	)	PUNCT
cana-2871	153	42	let	let	VERB
cana-2871	153	43	ℜ0	ℜ0	NOUN
cana-2871	153	44	=	=	SYM
cana-2871	153	45	ℱ𝒱−1	ℱ𝒱−1	NOUN
cana-2871	153	46	then	then	ADV
cana-2871	153	47	ℜ0	ℜ0	PROPN
cana-2871	154	1	=	=	PUNCT
cana-2871	155	1	[	[	X
cana-2871	155	2	ϖ1	ϖ1	X
cana-2871	155	3	ϖ	ϖ	INTJ
cana-2871	155	4	υ	υ	NOUN
cana-2871	155	5	]	]	X
cana-2871	155	6	[	[	PUNCT
cana-2871	155	7	1	1	NUM
cana-2871	155	8	(	(	PUNCT
cana-2871	155	9	ϖ2+ϖ3+υ	ϖ2+ϖ3+υ	NOUN
cana-2871	155	10	)	)	PUNCT
cana-2871	155	11	]	]	PUNCT
cana-2871	156	1	ℜ0	ℜ0	ADJ
cana-2871	156	2	=	=	PUNCT
cana-2871	156	3	ϖ1ϖ	ϖ1ϖ	SYM
cana-2871	156	4	υ(ϖ2	υ(ϖ2	X
cana-2871	156	5	+	+	CCONJ
cana-2871	156	6	ϖ3	ϖ3	PROPN
cana-2871	156	7	+	+	CCONJ
cana-2871	156	8	υ	υ	NOUN
cana-2871	156	9	)	)	PUNCT
cana-2871	156	10	using	use	VERB
cana-2871	156	11	the	the	DET
cana-2871	156	12	characteristic	characteristic	ADJ
cana-2871	156	13	equation	equation	NOUN
cana-2871	156	14	|ℱ𝒱−1	|ℱ𝒱−1	NOUN
cana-2871	156	15	−	−	PUNCT
cana-2871	156	16	λi|	λi|	NOUN
cana-2871	156	17	=	=	SYM
cana-2871	156	18	0	0	NUM
cana-2871	156	19	.	.	PUNCT
cana-2871	157	1	from	from	ADP
cana-2871	157	2	equation	equation	NOUN
cana-2871	157	3	of	of	ADP
cana-2871	157	4	ℜ0	ℜ0	NOUN
cana-2871	157	5	we	we	PRON
cana-2871	157	6	compute	compute	VERB
cana-2871	157	7	the	the	DET
cana-2871	157	8	eigenvalues	eigenvalue	NOUN
cana-2871	157	9	as	as	SCONJ
cana-2871	157	10	follows	follow	VERB
cana-2871	157	11	|ℱ𝒱−1	|ℱ𝒱−1	NOUN
cana-2871	157	12	−	−	NOUN
cana-2871	157	13	λi|	λi|	NOUN
cana-2871	157	14	=	=	SYM
cana-2871	157	15	0	0	NUM
cana-2871	157	16	implies	imply	VERB
cana-2871	157	17	|ℜ0	|ℜ0	NUM
cana-2871	157	18	−	−	PROPN
cana-2871	157	19	λi|	λi|	NOUN
cana-2871	157	20	=	=	SYM
cana-2871	157	21	0	0	PROPN
cana-2871	157	22	,	,	PUNCT
cana-2871	157	23	where	where	SCONJ
cana-2871	157	24	i	i	PRON
cana-2871	157	25	is	be	AUX
cana-2871	157	26	an	an	DET
cana-2871	157	27	identity	identity	NOUN
cana-2871	157	28	matrix	matrix	NOUN
cana-2871	157	29	.	.	PUNCT
cana-2871	158	1	|	|	ADV
cana-2871	158	2	ϖ1ϖ	ϖ1ϖ	ADP
cana-2871	158	3	υ(ϖ2+ϖ3+υ	υ(ϖ2+ϖ3+υ	NUM
cana-2871	158	4	)	)	PUNCT
cana-2871	159	1	−	−	PROPN
cana-2871	160	1	λ|	λ|	NOUN
cana-2871	160	2	=	=	SYM
cana-2871	160	3	0	0	NUM
cana-2871	160	4	ϖ1ϖ	ϖ1ϖ	SYM
cana-2871	160	5	υ(ϖ2+ϖ3+υ	υ(ϖ2+ϖ3+υ	NUM
cana-2871	160	6	)	)	PUNCT
cana-2871	160	7	−	−	PROPN
cana-2871	161	1	λ	λ	NOUN
cana-2871	161	2	=	=	SYM
cana-2871	161	3	0	0	NUM
cana-2871	161	4	λ	λ	X
cana-2871	161	5	=	=	SYM
cana-2871	161	6	ϖ1ϖ	ϖ1ϖ	X
cana-2871	161	7	υ(ϖ2+ϖ3+υ	υ(ϖ2+ϖ3+υ	NUM
cana-2871	161	8	)	)	PUNCT
cana-2871	161	9	.	.	PUNCT
cana-2871	162	1	communications	communication	NOUN
cana-2871	162	2	on	on	ADP
cana-2871	162	3	applied	apply	VERB
cana-2871	162	4	nonlinear	nonlinear	ADJ
cana-2871	162	5	analysis	analysis	NOUN
cana-2871	162	6	issn	issn	NOUN
cana-2871	162	7	:	:	PUNCT
cana-2871	162	8	1074	1074	NUM
cana-2871	162	9	-	-	PUNCT
cana-2871	162	10	133x	133x	NUM
cana-2871	162	11	vol	vol	NOUN
cana-2871	162	12	32	32	NUM
cana-2871	162	13	no	no	NOUN
cana-2871	162	14	.	.	PUNCT
cana-2871	163	1	4s	4s	NUM
cana-2871	163	2	(	(	PUNCT
cana-2871	163	3	2025	2025	NUM
cana-2871	163	4	)	)	PUNCT
cana-2871	163	5	559	559	NUM
cana-2871	163	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	163	7	hence	hence	ADV
cana-2871	163	8	,	,	PUNCT
cana-2871	163	9	ℜ0	ℜ0	NOUN
cana-2871	163	10	of	of	ADP
cana-2871	163	11	basic	basic	ADJ
cana-2871	163	12	reproduction	reproduction	NOUN
cana-2871	163	13	number	number	NOUN
cana-2871	163	14	is	be	AUX
cana-2871	163	15	given	give	VERB
cana-2871	163	16	as	as	ADP
cana-2871	163	17	ℜ0	ℜ0	NOUN
cana-2871	163	18	=	=	SYM
cana-2871	163	19	ϖ1ϖ	ϖ1ϖ	SYM
cana-2871	163	20	υ(ϖ2+ϖ3+υ	υ(ϖ2+ϖ3+υ	NUM
cana-2871	163	21	)	)	PUNCT
cana-2871	163	22	<	<	X
cana-2871	164	1	1	1	X
cana-2871	164	2	.	.	PUNCT
cana-2871	164	3	epidemiologically	epidemiologically	NOUN
cana-2871	164	4	,	,	PUNCT
cana-2871	164	5	for	for	ADP
cana-2871	164	6	widely	widely	ADV
cana-2871	164	7	utilized	utilize	VERB
cana-2871	164	8	infection	infection	NOUN
cana-2871	164	9	models	model	NOUN
cana-2871	165	1	when	when	SCONJ
cana-2871	165	2	:	:	PUNCT
cana-2871	165	3	ℜ0	ℜ0	PROPN
cana-2871	165	4	<	<	X
cana-2871	165	5	1	1	NUM
cana-2871	165	6	;	;	PUNCT
cana-2871	165	7	this	this	PRON
cana-2871	165	8	implies	imply	VERB
cana-2871	165	9	that	that	SCONJ
cana-2871	165	10	the	the	DET
cana-2871	165	11	pathogen	pathogen	NOUN
cana-2871	165	12	will	will	AUX
cana-2871	165	13	be	be	AUX
cana-2871	165	14	prevented	prevent	VERB
cana-2871	165	15	from	from	ADP
cana-2871	165	16	entering	enter	VERB
cana-2871	165	17	the	the	DET
cana-2871	165	18	population	population	NOUN
cana-2871	165	19	.	.	PUNCT
cana-2871	166	1	ℜ0	ℜ0	ADJ
cana-2871	166	2	=	=	SYM
cana-2871	166	3	1	1	NUM
cana-2871	166	4	;	;	PUNCT
cana-2871	166	5	this	this	PRON
cana-2871	166	6	implies	imply	VERB
cana-2871	166	7	that	that	SCONJ
cana-2871	166	8	the	the	DET
cana-2871	166	9	pathogen	pathogen	NOUN
cana-2871	166	10	will	will	AUX
cana-2871	166	11	be	be	AUX
cana-2871	166	12	constant	constant	ADJ
cana-2871	166	13	.	.	PUNCT
cana-2871	167	1	ℜ0	ℜ0	ADV
cana-2871	167	2	>	>	X
cana-2871	167	3	1	1	NUM
cana-2871	167	4	;	;	PUNCT
cana-2871	167	5	this	this	PRON
cana-2871	167	6	implies	imply	VERB
cana-2871	167	7	that	that	SCONJ
cana-2871	167	8	the	the	DET
cana-2871	167	9	infection	infection	NOUN
cana-2871	167	10	can	can	AUX
cana-2871	167	11	begin	begin	VERB
cana-2871	167	12	to	to	PART
cana-2871	167	13	spread	spread	VERB
cana-2871	167	14	throughout	throughout	ADP
cana-2871	167	15	the	the	DET
cana-2871	167	16	populace	populace	NOUN
cana-2871	167	17	considering	consider	VERB
cana-2871	167	18	these	these	DET
cana-2871	167	19	criticisms	criticism	NOUN
cana-2871	167	20	of	of	ADP
cana-2871	167	21	our	our	PRON
cana-2871	167	22	model	model	NOUN
cana-2871	167	23	,	,	PUNCT
cana-2871	167	24	we	we	PRON
cana-2871	167	25	have	have	VERB
cana-2871	167	26	if	if	SCONJ
cana-2871	167	27	ϖ1ϖ<υ(ϖ2	ϖ1ϖ<υ(ϖ2	X
cana-2871	167	28	+	+	CCONJ
cana-2871	167	29	ϖ3	ϖ3	NOUN
cana-2871	167	30	+	+	CCONJ
cana-2871	167	31	υ	υ	NOUN
cana-2871	167	32	)	)	PUNCT
cana-2871	167	33	,	,	PUNCT
cana-2871	167	34	the	the	DET
cana-2871	167	35	occurrence	occurrence	NOUN
cana-2871	167	36	of	of	ADP
cana-2871	167	37	the	the	DET
cana-2871	167	38	infection	infection	NOUN
cana-2871	167	39	and	and	CCONJ
cana-2871	167	40	phobia	phobia	NOUN
cana-2871	167	41	will	will	AUX
cana-2871	167	42	decrease	decrease	VERB
cana-2871	167	43	.	.	PUNCT
cana-2871	168	1	if	if	SCONJ
cana-2871	168	2	ϖ1ϖ=υ(ϖ2	ϖ1ϖ=υ(ϖ2	PROPN
cana-2871	168	3	+	+	CCONJ
cana-2871	168	4	ϖ3	ϖ3	ADJ
cana-2871	168	5	+	+	CCONJ
cana-2871	168	6	υ	υ	NOUN
cana-2871	168	7	)	)	PUNCT
cana-2871	168	8	,	,	PUNCT
cana-2871	168	9	the	the	DET
cana-2871	168	10	infection	infection	NOUN
cana-2871	168	11	and	and	CCONJ
cana-2871	168	12	phobia	phobia	NOUN
cana-2871	168	13	occurrence	occurrence	NOUN
cana-2871	168	14	will	will	AUX
cana-2871	168	15	be	be	AUX
cana-2871	168	16	constant	constant	ADJ
cana-2871	168	17	.	.	PUNCT
cana-2871	169	1	if	if	SCONJ
cana-2871	169	2	ϖ1ϖ>υ(ϖ2	ϖ1ϖ>υ(ϖ2	PROPN
cana-2871	169	3	+	+	CCONJ
cana-2871	169	4	ϖ3	ϖ3	NOUN
cana-2871	169	5	+	+	CCONJ
cana-2871	169	6	υ	υ	NOUN
cana-2871	169	7	)	)	PUNCT
cana-2871	169	8	,	,	PUNCT
cana-2871	169	9	the	the	DET
cana-2871	169	10	frequency	frequency	NOUN
cana-2871	169	11	of	of	ADP
cana-2871	169	12	infection	infection	NOUN
cana-2871	169	13	and	and	CCONJ
cana-2871	169	14	fear	fear	NOUN
cana-2871	169	15	will	will	AUX
cana-2871	169	16	rise	rise	VERB
cana-2871	169	17	..	..	PUNCT
cana-2871	169	18	as	as	ADP
cana-2871	169	19	a	a	DET
cana-2871	169	20	result	result	NOUN
cana-2871	169	21	,	,	PUNCT
cana-2871	169	22	we	we	PRON
cana-2871	169	23	also	also	ADV
cana-2871	169	24	came	come	VERB
cana-2871	169	25	to	to	ADP
cana-2871	169	26	the	the	DET
cana-2871	169	27	following	follow	VERB
cana-2871	169	28	results	result	NOUN
cana-2871	169	29	.	.	PUNCT
cana-2871	170	1	6	6	X
cana-2871	170	2	.	.	X
cana-2871	170	3	uniqueness	uniqueness	NOUN
cana-2871	170	4	and	and	CCONJ
cana-2871	170	5	existence	existence	NOUN
cana-2871	170	6	we	we	PRON
cana-2871	170	7	can	can	AUX
cana-2871	170	8	write	write	VERB
cana-2871	170	9	the	the	DET
cana-2871	170	10	system	system	NOUN
cana-2871	170	11	(	(	PUNCT
cana-2871	170	12	1–5	1–5	X
cana-2871	170	13	)	)	PUNCT
cana-2871	170	14	like	like	ADP
cana-2871	170	15	this	this	PRON
cana-2871	170	16	:	:	PUNCT
cana-2871	170	17	d𝔛	d𝔛	ADJ
cana-2871	170	18	d𝔱	d𝔱	NOUN
cana-2871	170	19	=	=	SYM
cana-2871	170	20	𝔉(𝔛	𝔉(𝔛	NUM
cana-2871	170	21	)	)	PUNCT
cana-2871	170	22	,	,	PUNCT
cana-2871	170	23	𝔛	𝔛	PROPN
cana-2871	170	24	=	=	SYM
cana-2871	170	25	𝔛0	𝔛0	PROPN
cana-2871	170	26	,	,	PUNCT
cana-2871	170	27	(	(	PUNCT
cana-2871	170	28	7	7	X
cana-2871	170	29	)	)	PUNCT
cana-2871	170	30	in	in	ADP
cana-2871	170	31	the	the	DET
cana-2871	170	32	case	case	NOUN
cana-2871	170	33	where	where	SCONJ
cana-2871	170	34	𝔛	𝔛	PROPN
cana-2871	170	35	=	=	SYM
cana-2871	170	36	(	(	PUNCT
cana-2871	170	37	hs	hs	PROPN
cana-2871	170	38	,	,	PUNCT
cana-2871	170	39	hi	hi	INTJ
cana-2871	170	40	,	,	PUNCT
cana-2871	170	41	hc	hc	PROPN
cana-2871	170	42	,	,	PUNCT
cana-2871	170	43	hn	hn	PROPN
cana-2871	170	44	,	,	PUNCT
cana-2871	170	45	ha	ha	INTJ
cana-2871	170	46	)	)	PUNCT
cana-2871	170	47	𝒯	𝒯	PROPN
cana-2871	170	48	the	the	DET
cana-2871	170	49	state	state	NOUN
cana-2871	170	50	variables	variable	NOUN
cana-2871	170	51	are	be	AUX
cana-2871	170	52	contained	contain	VERB
cana-2871	170	53	in	in	ADP
cana-2871	170	54	a	a	DET
cana-2871	170	55	column	column	NOUN
cana-2871	170	56	vector	vector	NOUN
cana-2871	170	57	in	in	ADP
cana-2871	170	58	ℛ5	ℛ5	PROPN
cana-2871	170	59	,	,	PUNCT
cana-2871	170	60	which	which	PRON
cana-2871	170	61	also	also	ADV
cana-2871	170	62	defines	define	VERB
cana-2871	170	63	a	a	DET
cana-2871	170	64	mapping	mapping	NOUN
cana-2871	170	65	from	from	ADP
cana-2871	170	66	[	[	X
cana-2871	170	67	0	0	NUM
cana-2871	170	68	,	,	PUNCT
cana-2871	170	69	+	+	NOUN
cana-2871	170	70	∞	∞	NOUN
cana-2871	170	71	)	)	PUNCT
cana-2871	170	72	to	to	ADP
cana-2871	170	73	ℛ5	ℛ5	PROPN
cana-2871	170	74	.	.	PUNCT
cana-2871	171	1	but	but	CCONJ
cana-2871	171	2	still	still	ADV
cana-2871	171	3	,	,	PUNCT
cana-2871	171	4	𝔉(𝔛	𝔉(𝔛	NOUN
cana-2871	171	5	)	)	PUNCT
cana-2871	171	6	=	=	SYM
cana-2871	171	7	(	(	PUNCT
cana-2871	171	8	𝔉1(𝔛	𝔉1(𝔛	PROPN
cana-2871	171	9	)	)	PUNCT
cana-2871	171	10	,	,	PUNCT
cana-2871	171	11	𝔉2(𝔛	𝔉2(𝔛	PROPN
cana-2871	171	12	)	)	PUNCT
cana-2871	171	13	,	,	PUNCT
cana-2871	171	14	𝔉3(𝔛	𝔉3(𝔛	PROPN
cana-2871	171	15	)	)	PUNCT
cana-2871	171	16	,	,	PUNCT
cana-2871	171	17	𝔉4(𝔛	𝔉4(𝔛	PROPN
cana-2871	171	18	)	)	PUNCT
cana-2871	171	19	,	,	PUNCT
cana-2871	171	20	𝔉5(𝔛	𝔉5(𝔛	PROPN
cana-2871	171	21	)	)	PUNCT
cana-2871	171	22	)	)	PUNCT
cana-2871	172	1	𝒯	𝒯	PROPN
cana-2871	172	2	∈	∈	PROPN
cana-2871	172	3	ℛ5	ℛ5	PROPN
cana-2871	172	4	,	,	PUNCT
cana-2871	172	5	is	be	AUX
cana-2871	172	6	a	a	DET
cana-2871	172	7	component	component	NOUN
cana-2871	172	8	-	-	PUNCT
cana-2871	172	9	based	base	VERB
cana-2871	172	10	vector	vector	NOUN
cana-2871	172	11	valued	value	VERB
cana-2871	172	12	function	function	NOUN
cana-2871	172	13	from	from	ADP
cana-2871	172	14	ℛ5	ℛ5	NOUN
cana-2871	172	15	to	to	ADP
cana-2871	172	16	ℛ5	ℛ5	PROPN
cana-2871	172	17	.	.	PUNCT
cana-2871	173	1	𝔉1(𝔛	𝔉1(𝔛	PROPN
cana-2871	173	2	)	)	PUNCT
cana-2871	174	1	=	=	SYM
cana-2871	174	2	ϖ−	ϖ−	PROPN
cana-2871	174	3	(	(	PUNCT
cana-2871	174	4	ϖ1	ϖ1	VERB
cana-2871	174	5	+	+	CCONJ
cana-2871	174	6	υ	υ	NOUN
cana-2871	174	7	)	)	PUNCT
cana-2871	174	8	hs	hs	PROPN
cana-2871	174	9	𝔉2(𝔛	𝔉2(𝔛	PROPN
cana-2871	174	10	)	)	PUNCT
cana-2871	174	11	=	=	PUNCT
cana-2871	174	12	ϖ1hs	ϖ1hs	PUNCT
cana-2871	174	13	−	−	PROPN
cana-2871	174	14	(	(	PUNCT
cana-2871	174	15	ϖ2	ϖ2	NOUN
cana-2871	174	16	+	+	CCONJ
cana-2871	174	17	ϖ3	ϖ3	NOUN
cana-2871	174	18	+	+	CCONJ
cana-2871	174	19	υ	υ	NOUN
cana-2871	174	20	)	)	PUNCT
cana-2871	174	21	hi	hi	NOUN
cana-2871	174	22	𝔉3(𝔛	𝔉3(𝔛	PROPN
cana-2871	174	23	)	)	PUNCT
cana-2871	174	24	=	=	PUNCT
cana-2871	175	1	ϖ2hi	ϖ2hi	NOUN
cana-2871	175	2	−	−	PROPN
cana-2871	175	3	(	(	PUNCT
cana-2871	175	4	ϖ4	ϖ4	PROPN
cana-2871	175	5	+	+	CCONJ
cana-2871	175	6	υ	υ	NOUN
cana-2871	175	7	)	)	PUNCT
cana-2871	175	8	hc	hc	PROPN
cana-2871	175	9	𝔉4(𝔛	𝔉4(𝔛	PROPN
cana-2871	175	10	)	)	PUNCT
cana-2871	175	11	=	=	PRON
cana-2871	175	12	ϖ3hi	ϖ3hi	PUNCT
cana-2871	176	1	−	−	PROPN
cana-2871	176	2	(	(	PUNCT
cana-2871	176	3	ϖ5	ϖ5	NOUN
cana-2871	176	4	+	+	CCONJ
cana-2871	176	5	υ	υ	NOUN
cana-2871	176	6	)	)	PUNCT
cana-2871	176	7	hn	hn	PROPN
cana-2871	176	8	𝔉5(𝔛	𝔉5(𝔛	PROPN
cana-2871	176	9	)	)	PUNCT
cana-2871	176	10	=	=	SYM
cana-2871	176	11	ϖ4hc	ϖ4hc	PUNCT
cana-2871	177	1	+	+	CCONJ
cana-2871	177	2	ϖ5hn	ϖ5hn	SYM
cana-2871	177	3	−	−	X
cana-2871	177	4	(	(	PUNCT
cana-2871	177	5	υ+	υ+	X
cana-2871	177	6	a	a	X
cana-2871	177	7	)	)	PUNCT
cana-2871	177	8	ha	ha	INTJ
cana-2871	177	9	lipschitz	lipschitz	NOUN
cana-2871	177	10	continuous	continuous	ADJ
cana-2871	177	11	in	in	ADP
cana-2871	177	12	𝔛	𝔛	PROPN
cana-2871	177	13	is	be	AUX
cana-2871	177	14	the	the	DET
cana-2871	177	15	function	function	NOUN
cana-2871	177	16	𝔉	𝔉	PROPN
cana-2871	177	17	in	in	ADP
cana-2871	177	18	(	(	PUNCT
cana-2871	177	19	7	7	NUM
cana-2871	177	20	)	)	PUNCT
cana-2871	177	21	.	.	PUNCT
cana-2871	178	1	therefore	therefore	ADV
cana-2871	178	2	,	,	PUNCT
cana-2871	178	3	the	the	DET
cana-2871	178	4	nonlinear	nonlinear	ADJ
cana-2871	178	5	system	system	NOUN
cana-2871	178	6	(	(	PUNCT
cana-2871	178	7	7	7	X
cana-2871	178	8	)	)	PUNCT
cana-2871	178	9	has	have	VERB
cana-2871	178	10	a	a	DET
cana-2871	178	11	unique	unique	ADJ
cana-2871	178	12	solution	solution	NOUN
cana-2871	178	13	according	accord	VERB
cana-2871	178	14	to	to	ADP
cana-2871	178	15	the	the	DET
cana-2871	178	16	existence	existence	NOUN
cana-2871	178	17	and	and	CCONJ
cana-2871	178	18	uniqueness	uniqueness	NOUN
cana-2871	178	19	theorem	theorem	VERB
cana-2871	178	20	.	.	PUNCT
cana-2871	179	1	if	if	SCONJ
cana-2871	179	2	this	this	DET
cana-2871	179	3	solution	solution	NOUN
cana-2871	179	4	is	be	AUX
cana-2871	179	5	bounded	bound	VERB
cana-2871	179	6	and	and	CCONJ
cana-2871	179	7	nonnegative	nonnegative	ADJ
cana-2871	179	8	,	,	PUNCT
cana-2871	179	9	it	it	PRON
cana-2871	179	10	will	will	AUX
cana-2871	179	11	have	have	VERB
cana-2871	179	12	greater	great	ADJ
cana-2871	179	13	biological	biological	ADJ
cana-2871	179	14	significance	significance	NOUN
cana-2871	179	15	and	and	CCONJ
cana-2871	179	16	be	be	AUX
cana-2871	179	17	more	more	ADV
cana-2871	179	18	grounded	ground	VERB
cana-2871	179	19	in	in	ADP
cana-2871	179	20	reality	reality	NOUN
cana-2871	179	21	.	.	PUNCT
cana-2871	180	1	in	in	ADP
cana-2871	180	2	the	the	DET
cana-2871	180	3	next	next	ADJ
cana-2871	180	4	theorems	theorem	NOUN
cana-2871	180	5	1	1	NUM
cana-2871	180	6	and	and	CCONJ
cana-2871	180	7	2	2	NUM
cana-2871	180	8	,	,	PUNCT
cana-2871	180	9	we	we	PRON
cana-2871	180	10	illustrate	illustrate	VERB
cana-2871	180	11	these	these	DET
cana-2871	180	12	essential	essential	ADJ
cana-2871	180	13	characteristics	characteristic	NOUN
cana-2871	180	14	.	.	PUNCT
cana-2871	181	1	7	7	X
cana-2871	181	2	.	.	X
cana-2871	181	3	positivity	positivity	NOUN
cana-2871	181	4	and	and	CCONJ
cana-2871	181	5	boundedness	boundedness	NOUN
cana-2871	181	6	theorem	theorem	NOUN
cana-2871	181	7	1	1	X
cana-2871	181	8	.	.	PUNCT
cana-2871	182	1	let	let	VERB
cana-2871	182	2	hs(0	hs(0	PRON
cana-2871	182	3	)	)	PUNCT
cana-2871	182	4	=	=	NOUN
cana-2871	183	1	hs0	hs0	NOUN
cana-2871	183	2	,	,	PUNCT
cana-2871	183	3	hi(0	hi(0	NOUN
cana-2871	183	4	)	)	PUNCT
cana-2871	183	5	=	=	SYM
cana-2871	183	6	hi0	hi0	X
cana-2871	183	7	,	,	PUNCT
cana-2871	183	8	hc(0	hc(0	X
cana-2871	183	9	)	)	PUNCT
cana-2871	183	10	=	=	SYM
cana-2871	183	11	hc0	hc0	NOUN
cana-2871	183	12	,	,	PUNCT
cana-2871	183	13	hn(0	hn(0	NOUN
cana-2871	183	14	)	)	PUNCT
cana-2871	183	15	=	=	PUNCT
cana-2871	183	16	hn0and	hn0and	VERB
cana-2871	183	17	ha(0	ha(0	NOUN
cana-2871	183	18	)	)	PUNCT
cana-2871	183	19	=	=	NOUN
cana-2871	184	1	ha0	ha0	NOUN
cana-2871	184	2	be	be	AUX
cana-2871	184	3	the	the	DET
cana-2871	184	4	initial	initial	ADJ
cana-2871	184	5	values	value	NOUN
cana-2871	184	6	of	of	ADP
cana-2871	184	7	the	the	DET
cana-2871	184	8	state	state	NOUN
cana-2871	184	9	variables	variable	NOUN
cana-2871	184	10	.	.	PUNCT
cana-2871	185	1	if	if	SCONJ
cana-2871	185	2	hs0	hs0	NOUN
cana-2871	185	3	,	,	PUNCT
cana-2871	185	4	hi0	hi0	X
cana-2871	185	5	,	,	PUNCT
cana-2871	185	6	hc0	hc0	NOUN
cana-2871	185	7	,	,	PUNCT
cana-2871	185	8	hn0and	hn0and	VERB
cana-2871	185	9	ha0are	ha0are	PROPN
cana-2871	185	10	positive	positive	ADJ
cana-2871	185	11	then	then	ADV
cana-2871	185	12	it	it	PRON
cana-2871	185	13	implies	imply	VERB
cana-2871	185	14	thaths(𝔱	thaths(𝔱	NOUN
cana-2871	185	15	)	)	PUNCT
cana-2871	185	16	,	,	PUNCT
cana-2871	185	17	hi(𝔱),hc(𝔱),hn(𝔱	hi(𝔱),hc(𝔱),hn(𝔱	NOUN
cana-2871	185	18	)	)	PUNCT
cana-2871	185	19	,	,	PUNCT
cana-2871	185	20	and	and	CCONJ
cana-2871	185	21	ha(𝔱)are	ha(𝔱)are	VERB
cana-2871	185	22	positive	positive	ADJ
cana-2871	185	23	for	for	ADP
cana-2871	185	24	all	all	DET
cana-2871	185	25	time	time	NOUN
cana-2871	185	26	t	t	PROPN
cana-2871	185	27	>	>	X
cana-2871	185	28	0	0	X
cana-2871	185	29	.	.	PUNCT
cana-2871	186	1	communications	communication	NOUN
cana-2871	186	2	on	on	ADP
cana-2871	186	3	applied	apply	VERB
cana-2871	186	4	nonlinear	nonlinear	ADJ
cana-2871	186	5	analysis	analysis	NOUN
cana-2871	186	6	issn	issn	NOUN
cana-2871	186	7	:	:	PUNCT
cana-2871	186	8	1074	1074	NUM
cana-2871	186	9	-	-	PUNCT
cana-2871	186	10	133x	133x	NUM
cana-2871	186	11	vol	vol	NOUN
cana-2871	186	12	32	32	NUM
cana-2871	186	13	no	no	NOUN
cana-2871	186	14	.	.	PUNCT
cana-2871	187	1	4s	4s	NUM
cana-2871	187	2	(	(	PUNCT
cana-2871	187	3	2025	2025	NUM
cana-2871	187	4	)	)	PUNCT
cana-2871	187	5	560	560	NUM
cana-2871	187	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	187	7	proof	proof	NOUN
cana-2871	187	8	:	:	PUNCT
cana-2871	187	9	let	let	VERB
cana-2871	187	10	hs0	hs0	NOUN
cana-2871	187	11	,	,	PUNCT
cana-2871	187	12	hi0,hc0	hi0,hc0	PROPN
cana-2871	187	13	,	,	PUNCT
cana-2871	187	14	hn0	hn0	NOUN
cana-2871	187	15	,	,	PUNCT
cana-2871	187	16	and	and	CCONJ
cana-2871	187	17	ha0	ha0	PROPN
cana-2871	187	18	and	and	CCONJ
cana-2871	187	19	be	be	AUX
cana-2871	187	20	positive	positive	ADJ
cana-2871	187	21	,	,	PUNCT
cana-2871	187	22	it	it	PRON
cana-2871	187	23	is	be	AUX
cana-2871	187	24	our	our	PRON
cana-2871	187	25	goal	goal	NOUN
cana-2871	187	26	to	to	PART
cana-2871	187	27	demonstrate	demonstrate	VERB
cana-2871	187	28	the	the	DET
cana-2871	187	29	positivity	positivity	NOUN
cana-2871	187	30	of	of	ADP
cana-2871	187	31	the	the	DET
cana-2871	187	32	state	state	NOUN
cana-2871	187	33	variables	variable	NOUN
cana-2871	187	34	.	.	PUNCT
cana-2871	188	1	according	accord	VERB
cana-2871	188	2	to	to	ADP
cana-2871	188	3	system	system	NOUN
cana-2871	188	4	(	(	PUNCT
cana-2871	188	5	1	1	NUM
cana-2871	188	6	)	)	PUNCT
cana-2871	188	7	,	,	PUNCT
cana-2871	188	8	we	we	PRON
cana-2871	188	9	have	have	VERB
cana-2871	188	10	:	:	PUNCT
cana-2871	188	11	dhs	dhs	PROPN
cana-2871	189	1	d𝔱	d𝔱	PROPN
cana-2871	189	2	=	=	PUNCT
cana-2871	189	3	ϖ	ϖ	INTJ
cana-2871	189	4	−	−	PROPN
cana-2871	189	5	(	(	PUNCT
cana-2871	189	6	ϖ1	ϖ1	VERB
cana-2871	189	7	+	+	CCONJ
cana-2871	189	8	υ	υ	NOUN
cana-2871	189	9	)	)	PUNCT
cana-2871	189	10	hs	hs	PROPN
cana-2871	189	11	then	then	ADV
cana-2871	189	12	,	,	PUNCT
cana-2871	189	13	dhs	dhs	PROPN
cana-2871	189	14	d𝔱	d𝔱	PROPN
cana-2871	189	15	+	+	CCONJ
cana-2871	189	16	(	(	PUNCT
cana-2871	189	17	ϖ1	ϖ1	VERB
cana-2871	189	18	+	+	CCONJ
cana-2871	189	19	υ	υ	NOUN
cana-2871	189	20	)	)	PUNCT
cana-2871	189	21	hs	hs	PROPN
cana-2871	189	22	=	=	SYM
cana-2871	189	23	ϖ	ϖ	AUX
cana-2871	189	24	since	since	SCONJ
cana-2871	189	25	ϖ	ϖ	PROPN
cana-2871	189	26	≥	≥	NUM
cana-2871	189	27	0	0	NUM
cana-2871	189	28	it	it	PRON
cana-2871	189	29	follows	follow	VERB
cana-2871	189	30	that	that	SCONJ
cana-2871	189	31	,	,	PUNCT
cana-2871	189	32	dhs	dhs	PROPN
cana-2871	189	33	d𝔱	d𝔱	PROPN
cana-2871	189	34	+	+	CCONJ
cana-2871	189	35	(	(	PUNCT
cana-2871	189	36	ϖ1	ϖ1	VERB
cana-2871	189	37	+	+	CCONJ
cana-2871	189	38	υ)hs	υ)hs	PROPN
cana-2871	189	39	≥	≥	NOUN
cana-2871	189	40	0	0	PUNCT
cana-2871	190	1	now	now	ADV
cana-2871	190	2	,	,	PUNCT
cana-2871	190	3	we	we	PRON
cana-2871	190	4	have	have	VERB
cana-2871	190	5	:	:	PUNCT
cana-2871	190	6	dhs	dhs	PROPN
cana-2871	190	7	hs	hs	PROPN
cana-2871	190	8	≥	≥	PROPN
cana-2871	190	9	−(ϖ1	−(ϖ1	PUNCT
cana-2871	190	10	+	+	CCONJ
cana-2871	191	1	υ)d𝔱	υ)d𝔱	PROPN
cana-2871	191	2	(	(	PUNCT
cana-2871	191	3	8)	8)	NUM
cana-2871	191	4	by	by	ADP
cana-2871	191	5	integrating	integrate	VERB
cana-2871	191	6	equation	equation	NOUN
cana-2871	191	7	(	(	PUNCT
cana-2871	191	8	8)	8)	NUM
cana-2871	191	9	we	we	PRON
cana-2871	191	10	have	have	VERB
cana-2871	191	11	:	:	PUNCT
cana-2871	191	12	in(hs	in(hs	ADJ
cana-2871	191	13	)	)	PUNCT
cana-2871	191	14	≥	≥	NOUN
cana-2871	191	15	−∫(ϖ1	−∫(ϖ1	NOUN
cana-2871	191	16	+	+	CCONJ
cana-2871	191	17	υ	υ	NOUN
cana-2871	191	18	)	)	PUNCT
cana-2871	191	19	dt+	dt+	NOUN
cana-2871	191	20	c	c	NOUN
cana-2871	191	21	let	let	VERB
cana-2871	191	22	𝔸(𝔱	𝔸(𝔱	PRON
cana-2871	191	23	)	)	PUNCT
cana-2871	191	24	=	=	SYM
cana-2871	191	25	−∫(ϖ1	−∫(ϖ1	NOUN
cana-2871	191	26	+	+	CCONJ
cana-2871	191	27	υ	υ	NOUN
cana-2871	191	28	)	)	PUNCT
cana-2871	191	29	dt	dt	NOUN
cana-2871	191	30	,	,	PUNCT
cana-2871	191	31	it	it	PRON
cana-2871	191	32	suggests	suggest	VERB
cana-2871	191	33	that	that	SCONJ
cana-2871	191	34	in(hs(𝔱	in(hs(𝔱	VERB
cana-2871	191	35	)	)	PUNCT
cana-2871	191	36	)	)	PUNCT
cana-2871	191	37	≥	≥	NOUN
cana-2871	191	38	𝔸(𝔱	𝔸(𝔱	NUM
cana-2871	191	39	)	)	PUNCT
cana-2871	191	40	+	+	NUM
cana-2871	191	41	c	c	NOUN
cana-2871	191	42	(	(	PUNCT
cana-2871	191	43	9	9	NUM
cana-2871	191	44	)	)	PUNCT
cana-2871	191	45	at	at	ADP
cana-2871	191	46	𝔱	𝔱	NOUN
cana-2871	191	47	=	=	SYM
cana-2871	191	48	0	0	NUM
cana-2871	191	49	we	we	PRON
cana-2871	191	50	have	have	VERB
cana-2871	191	51	in(hs(0	in(hs(0	NOUN
cana-2871	191	52	)	)	PUNCT
cana-2871	191	53	)	)	PUNCT
cana-2871	191	54	≥	≥	NOUN
cana-2871	191	55	𝔸(0	𝔸(0	PUNCT
cana-2871	191	56	)	)	PUNCT
cana-2871	192	1	+	+	CCONJ
cana-2871	192	2	c	c	X
cana-2871	192	3	(	(	PUNCT
cana-2871	192	4	10	10	NUM
cana-2871	192	5	)	)	PUNCT
cana-2871	192	6	we	we	PRON
cana-2871	192	7	subtract	subtract	VERB
cana-2871	192	8	equations	equation	NOUN
cana-2871	192	9	(	(	PUNCT
cana-2871	192	10	10	10	NUM
cana-2871	192	11	)	)	PUNCT
cana-2871	192	12	from	from	ADP
cana-2871	192	13	(	(	PUNCT
cana-2871	192	14	9	9	NUM
cana-2871	192	15	)	)	PUNCT
cana-2871	192	16	to	to	ADP
cana-2871	192	17	havein	havein	PROPN
cana-2871	192	18	(	(	PUNCT
cana-2871	192	19	hs(𝔱	hs(𝔱	X
cana-2871	192	20	)	)	PUNCT
cana-2871	192	21	hs(0	hs(0	NOUN
cana-2871	192	22	)	)	PUNCT
cana-2871	192	23	)	)	PUNCT
cana-2871	192	24	≥	≥	NOUN
cana-2871	192	25	𝔸(𝔱	𝔸(𝔱	SYM
cana-2871	192	26	)	)	PUNCT
cana-2871	192	27	−	−	NOUN
cana-2871	192	28	𝔸(0	𝔸(0	NUM
cana-2871	192	29	)	)	PUNCT
cana-2871	192	30	by	by	ADP
cana-2871	192	31	calculating	calculate	VERB
cana-2871	192	32	the	the	DET
cana-2871	192	33	exponential	exponential	NOUN
cana-2871	192	34	of	of	ADP
cana-2871	192	35	either	either	DET
cana-2871	192	36	side	side	NOUN
cana-2871	192	37	,	,	PUNCT
cana-2871	192	38	we	we	PRON
cana-2871	192	39	get	get	VERB
cana-2871	192	40	:	:	PUNCT
cana-2871	192	41	hs(𝔱	hs(𝔱	NUM
cana-2871	192	42	)	)	PUNCT
cana-2871	192	43	≥	≥	NOUN
cana-2871	193	1	hs(0)e	hs(0)e	PROPN
cana-2871	193	2	𝔸(𝔱)−𝔸(0	𝔸(𝔱)−𝔸(0	NUM
cana-2871	193	3	)	)	PUNCT
cana-2871	193	4	≥	≥	PROPN
cana-2871	193	5	hs(0	hs(0	NOUN
cana-2871	193	6	)	)	PUNCT
cana-2871	193	7	for	for	ADP
cana-2871	193	8	𝔱	𝔱	PRON
cana-2871	193	9	≥	≥	NOUN
cana-2871	193	10	0	0	NUM
cana-2871	193	11	since	since	SCONJ
cana-2871	193	12	hs(0	hs(0	NOUN
cana-2871	193	13	)	)	PUNCT
cana-2871	193	14	=	=	NOUN
cana-2871	193	15	hs0is	hs0is	NUM
cana-2871	193	16	positive	positive	ADJ
cana-2871	193	17	,	,	PUNCT
cana-2871	193	18	that	that	ADV
cana-2871	193	19	is	is	ADV
cana-2871	193	20	,	,	PUNCT
cana-2871	193	21	hs0	hs0	PROPN
cana-2871	193	22	>	>	X
cana-2871	193	23	0	0	PUNCT
cana-2871	194	1	for	for	ADP
cana-2871	194	2	𝔱	𝔱	PRON
cana-2871	194	3	>	>	X
cana-2871	194	4	0	0	NUM
cana-2871	194	5	it	it	PRON
cana-2871	194	6	suggests	suggest	VERB
cana-2871	194	7	that	that	SCONJ
cana-2871	194	8	hs(𝔱	hs(𝔱	NUM
cana-2871	194	9	)	)	PUNCT
cana-2871	194	10	≥	≥	NOUN
cana-2871	194	11	hs(0	hs(0	NOUN
cana-2871	194	12	)	)	PUNCT
cana-2871	194	13	>	>	X
cana-2871	194	14	0	0	PUNCT
cana-2871	195	1	for	for	ADP
cana-2871	195	2	𝔱	𝔱	X
cana-2871	195	3	>	>	X
cana-2871	195	4	0	0	NUM
cana-2871	195	5	we	we	PRON
cana-2871	195	6	havehs(𝔱	havehs(𝔱	VERB
cana-2871	195	7	)	)	PUNCT
cana-2871	195	8	>	>	X
cana-2871	195	9	0	0	PUNCT
cana-2871	196	1	for	for	ADP
cana-2871	196	2	all	all	PRON
cana-2871	196	3	𝔱	𝔱	X
cana-2871	196	4	>	>	X
cana-2871	196	5	0	0	PUNCT
cana-2871	197	1	and	and	CCONJ
cana-2871	197	2	we	we	PRON
cana-2871	197	3	determine	determine	VERB
cana-2871	197	4	that	that	SCONJ
cana-2871	197	5	hs(𝔱	hs(𝔱	NOUN
cana-2871	197	6	)	)	PUNCT
cana-2871	197	7	is	be	AUX
cana-2871	197	8	non	non	ADJ
cana-2871	197	9	-	-	ADJ
cana-2871	197	10	negative	negative	ADJ
cana-2871	197	11	for	for	ADP
cana-2871	197	12	all	all	PRON
cana-2871	197	13	𝔱	𝔱	X
cana-2871	197	14	>	>	X
cana-2871	197	15	0	0	NUM
cana-2871	197	16	.	.	PUNCT
cana-2871	198	1	therefore	therefore	ADV
cana-2871	198	2	,	,	PUNCT
cana-2871	198	3	hs	hs	PROPN
cana-2871	198	4	>	>	X
cana-2871	198	5	0	0	PROPN
cana-2871	198	6	.	.	PUNCT
cana-2871	199	1	the	the	DET
cana-2871	199	2	other	other	ADJ
cana-2871	199	3	state	state	NOUN
cana-2871	199	4	variables	variable	NOUN
cana-2871	199	5	also	also	ADV
cana-2871	199	6	hold	hold	VERB
cana-2871	199	7	true	true	ADJ
cana-2871	199	8	in	in	ADP
cana-2871	199	9	this	this	DET
cana-2871	199	10	manner	manner	NOUN
cana-2871	199	11	.	.	PUNCT
cana-2871	200	1	this	this	PRON
cana-2871	200	2	demonstrates	demonstrate	VERB
cana-2871	200	3	that	that	SCONJ
cana-2871	200	4	hs(𝔱),hi(𝔱	hs(𝔱),hi(𝔱	VERB
cana-2871	200	5	)	)	PUNCT
cana-2871	200	6	,	,	PUNCT
cana-2871	200	7	hc(𝔱),hn(𝔱)and	hc(𝔱),hn(𝔱)and	CCONJ
cana-2871	200	8	ha(𝔱)are	ha(𝔱)are	VERB
cana-2871	200	9	positive	positive	ADJ
cana-2871	200	10	for	for	ADP
cana-2871	200	11	all	all	DET
cana-2871	200	12	time	time	NOUN
cana-2871	200	13	𝔱	𝔱	X
cana-2871	200	14	>	>	X
cana-2871	200	15	0	0	X
cana-2871	200	16	.	.	PUNCT
cana-2871	200	17	theorem	theorem	NOUN
cana-2871	200	18	2	2	NUM
cana-2871	200	19	.	.	PUNCT
cana-2871	201	1	within	within	ADP
cana-2871	201	2	the	the	DET
cana-2871	201	3	invariant	invariant	ADJ
cana-2871	201	4	region	region	NOUN
cana-2871	201	5	,	,	PUNCT
cana-2871	201	6	the	the	DET
cana-2871	201	7	nonlinear	nonlinear	ADJ
cana-2871	201	8	system	system	NOUN
cana-2871	201	9	(	(	PUNCT
cana-2871	201	10	1–5	1–5	X
cana-2871	201	11	)	)	PUNCT
cana-2871	201	12	has	have	AUX
cana-2871	201	13	bounded	bound	VERB
cana-2871	201	14	solutions	solution	NOUN
cana-2871	201	15	.	.	PUNCT
cana-2871	202	1	𝚽	𝚽	NOUN
cana-2871	202	2	=	=	PRON
cana-2871	202	3	{	{	PUNCT
cana-2871	202	4	(	(	PUNCT
cana-2871	202	5	𝐇𝐬	𝐇𝐬	PROPN
cana-2871	202	6	,	,	PUNCT
cana-2871	202	7	𝐇𝐢	𝐇𝐢	PROPN
cana-2871	202	8	,	,	PUNCT
cana-2871	202	9	𝐇𝐜	𝐇𝐜	PROPN
cana-2871	202	10	,	,	PUNCT
cana-2871	202	11	𝐇𝐧	𝐇𝐧	PROPN
cana-2871	202	12	,	,	PUNCT
cana-2871	202	13	𝐇𝐚	𝐇𝐚	PROPN
cana-2871	202	14	)	)	PUNCT
cana-2871	202	15	∈	∈	PROPN
cana-2871	202	16	𝓡+	𝓡+	ADP
cana-2871	202	17	𝟓	𝟓	NUM
cana-2871	202	18	:	:	SYM
cana-2871	202	19	𝟎	𝟎	NUM
cana-2871	202	20	<	<	X
cana-2871	202	21	𝓝𝐇(𝖙	𝓝𝐇(𝖙	X
cana-2871	202	22	)	)	PUNCT
cana-2871	202	23	≤	≤	NOUN
cana-2871	202	24	𝛡	𝛡	ADP
cana-2871	202	25	𝛖	𝛖	PROPN
cana-2871	202	26	;	;	PUNCT
cana-2871	203	1	𝐇𝐬	𝐇𝐬	PROPN
cana-2871	203	2	,	,	PUNCT
cana-2871	203	3	𝐇𝐢	𝐇𝐢	PROPN
cana-2871	203	4	,	,	PUNCT
cana-2871	203	5	𝐇𝐜	𝐇𝐜	PROPN
cana-2871	203	6	,	,	PUNCT
cana-2871	203	7	𝐇𝐧	𝐇𝐧	PROPN
cana-2871	203	8	,	,	PUNCT
cana-2871	203	9	𝐇𝐚	𝐇𝐚	PROPN
cana-2871	203	10	>	>	X
cana-2871	203	11	𝟎	𝟎	PROPN
cana-2871	203	12	}	}	PUNCT
cana-2871	203	13	proof	proof	NOUN
cana-2871	203	14	:	:	PUNCT
cana-2871	203	15	the	the	DET
cana-2871	203	16	total	total	ADJ
cana-2871	203	17	population	population	NOUN
cana-2871	203	18	for	for	ADP
cana-2871	203	19	human	human	NOUN
cana-2871	203	20	is	be	AUX
cana-2871	203	21	given	give	VERB
cana-2871	203	22	by	by	ADP
cana-2871	203	23	𝒩h(𝔱	𝒩h(𝔱	NOUN
cana-2871	203	24	)	)	PUNCT
cana-2871	203	25	=	=	SYM
cana-2871	203	26	hs(𝔱	hs(𝔱	X
cana-2871	203	27	)	)	PUNCT
cana-2871	204	1	+	+	CCONJ
cana-2871	204	2	hi(𝔱	hi(𝔱	NOUN
cana-2871	204	3	)	)	PUNCT
cana-2871	205	1	+	+	CCONJ
cana-2871	205	2	hc(𝔱	hc(𝔱	NUM
cana-2871	205	3	)	)	PUNCT
cana-2871	206	1	+	+	CCONJ
cana-2871	206	2	hn(𝔱	hn(𝔱	X
cana-2871	206	3	)	)	PUNCT
cana-2871	206	4	+	+	CCONJ
cana-2871	206	5	ha(𝔱	ha(𝔱	NOUN
cana-2871	206	6	)	)	PUNCT
cana-2871	206	7	such	such	ADJ
cana-2871	206	8	that	that	SCONJ
cana-2871	206	9	communications	communication	NOUN
cana-2871	206	10	on	on	ADP
cana-2871	206	11	applied	apply	VERB
cana-2871	206	12	nonlinear	nonlinear	ADJ
cana-2871	206	13	analysis	analysis	NOUN
cana-2871	206	14	issn	issn	NOUN
cana-2871	206	15	:	:	PUNCT
cana-2871	206	16	1074	1074	NUM
cana-2871	206	17	-	-	PUNCT
cana-2871	206	18	133x	133x	NUM
cana-2871	206	19	vol	vol	NOUN
cana-2871	206	20	32	32	NUM
cana-2871	206	21	no	no	NOUN
cana-2871	206	22	.	.	PUNCT
cana-2871	207	1	4s	4s	NUM
cana-2871	207	2	(	(	PUNCT
cana-2871	207	3	2025	2025	NUM
cana-2871	207	4	)	)	PUNCT
cana-2871	207	5	561	561	NUM
cana-2871	207	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	207	7	d𝒩h(𝔱	d𝒩h(𝔱	NOUN
cana-2871	207	8	)	)	PUNCT
cana-2871	208	1	d𝔱	d𝔱	NOUN
cana-2871	208	2	=	=	PUNCT
cana-2871	208	3	dhs(𝔱	dhs(𝔱	PROPN
cana-2871	208	4	)	)	PUNCT
cana-2871	208	5	d𝔱	d𝔱	NOUN
cana-2871	208	6	+	+	NUM
cana-2871	208	7	dhi(𝔱	dhi(𝔱	NOUN
cana-2871	208	8	)	)	PUNCT
cana-2871	208	9	d𝔱	d𝔱	NOUN
cana-2871	209	1	+	+	CCONJ
cana-2871	209	2	dhc(𝔱	dhc(𝔱	PROPN
cana-2871	209	3	)	)	PUNCT
cana-2871	210	1	d𝔱	d𝔱	NOUN
cana-2871	211	1	+	+	PUNCT
cana-2871	211	2	dhn(𝔱	dhn(𝔱	NOUN
cana-2871	211	3	)	)	PUNCT
cana-2871	211	4	d𝔱	d𝔱	NOUN
cana-2871	212	1	+	+	CCONJ
cana-2871	212	2	dha(𝔱	dha(𝔱	PROPN
cana-2871	212	3	)	)	PUNCT
cana-2871	212	4	d𝔱	d𝔱	NOUN
cana-2871	212	5	by	by	ADP
cana-2871	212	6	simplification	simplification	NOUN
cana-2871	212	7	we	we	PRON
cana-2871	212	8	have	have	VERB
cana-2871	212	9	d𝒩h(𝔱	d𝒩h(𝔱	NOUN
cana-2871	212	10	)	)	PUNCT
cana-2871	213	1	d𝔱	d𝔱	NOUN
cana-2871	214	1	=	=	PUNCT
cana-2871	214	2	ϖ−	ϖ−	X
cana-2871	214	3	υ(hs	υ(hs	PROPN
cana-2871	214	4	+	+	CCONJ
cana-2871	214	5	hi	hi	INTJ
cana-2871	215	1	+	+	CCONJ
cana-2871	215	2	hc	hc	PROPN
cana-2871	215	3	+	+	NOUN
cana-2871	215	4	hn	hn	PROPN
cana-2871	215	5	+	+	CCONJ
cana-2871	215	6	ha	ha	INTJ
cana-2871	215	7	)	)	PUNCT
cana-2871	215	8	−	−	PROPN
cana-2871	216	1	aha	aha	INTJ
cana-2871	217	1	but	but	CCONJ
cana-2871	217	2	𝒩h	𝒩h	PROPN
cana-2871	217	3	=	=	PUNCT
cana-2871	217	4	hs	hs	PROPN
cana-2871	218	1	+	+	NOUN
cana-2871	218	2	hi	hi	INTJ
cana-2871	219	1	+	+	CCONJ
cana-2871	219	2	hc	hc	PROPN
cana-2871	219	3	+	+	NOUN
cana-2871	219	4	hn	hn	PROPN
cana-2871	220	1	+	+	CCONJ
cana-2871	220	2	ha	ha	INTJ
cana-2871	220	3	so	so	ADV
cana-2871	220	4	,	,	PUNCT
cana-2871	220	5	we	we	PRON
cana-2871	220	6	have	have	VERB
cana-2871	220	7	d𝒩h(𝔱	d𝒩h(𝔱	NOUN
cana-2871	220	8	)	)	PUNCT
cana-2871	221	1	d𝔱	d𝔱	NOUN
cana-2871	222	1	=	=	PUNCT
cana-2871	222	2	ϖ−	ϖ−	PROPN
cana-2871	222	3	υ𝒩h	υ𝒩h	NUM
cana-2871	222	4	−	−	NOUN
cana-2871	222	5	aha	aha	INTJ
cana-2871	222	6	≤	≤	ADJ
cana-2871	223	1	ϖ−	ϖ−	PROPN
cana-2871	223	2	υ𝒩hin	υ𝒩hin	PROPN
cana-2871	223	3	the	the	DET
cana-2871	223	4	absence	absence	NOUN
cana-2871	223	5	of	of	ADP
cana-2871	223	6	hiv	hiv	PROPN
cana-2871	223	7	death	death	NOUN
cana-2871	223	8	in	in	ADP
cana-2871	223	9	the	the	DET
cana-2871	223	10	population	population	NOUN
cana-2871	223	11	(	(	PUNCT
cana-2871	223	12	a	a	PRON
cana-2871	223	13	=	=	NOUN
cana-2871	223	14	0	0	NUM
cana-2871	223	15	)	)	PUNCT
cana-2871	223	16	d𝒩h(𝔱	d𝒩h(𝔱	NOUN
cana-2871	223	17	)	)	PUNCT
cana-2871	223	18	ϖ−υ𝒩h	ϖ−υ𝒩h	PROPN
cana-2871	224	1	≤	≤	ADV
cana-2871	224	2	d𝔱	d𝔱	INTJ
cana-2871	224	3	integrate	integrate	VERB
cana-2871	224	4	the	the	DET
cana-2871	224	5	two	two	NUM
cana-2871	224	6	forms	form	NOUN
cana-2871	224	7	𝔱	𝔱	NOUN
cana-2871	224	8	=	=	SYM
cana-2871	224	9	0	0	NUM
cana-2871	224	10	and	and	CCONJ
cana-2871	224	11	𝔱	𝔱	X
cana-2871	224	12	=	=	X
cana-2871	224	13	𝔱α	𝔱α	INTJ
cana-2871	224	14	,	,	PUNCT
cana-2871	224	15	we	we	PRON
cana-2871	224	16	have	have	VERB
cana-2871	224	17	∫	∫	PROPN
cana-2871	224	18	d𝒩h(𝔱	d𝒩h(𝔱	PROPN
cana-2871	224	19	)	)	PUNCT
cana-2871	225	1	ϖ−υ𝒩h	ϖ−υ𝒩h	PROPN
cana-2871	226	1	𝔱α	𝔱α	VERB
cana-2871	226	2	0	0	NUM
cana-2871	226	3	≤	≤	NUM
cana-2871	227	1	∫	∫	NOUN
cana-2871	228	1	d𝔱	d𝔱	INTJ
cana-2871	228	2	𝔱α	𝔱α	NUM
cana-2871	228	3	0	0	NUM
cana-2871	229	1	we	we	PRON
cana-2871	229	2	have	have	VERB
cana-2871	229	3	[	[	X
cana-2871	229	4	−	−	PROPN
cana-2871	229	5	1	1	NUM
cana-2871	229	6	υ	υ	NOUN
cana-2871	229	7	in	in	ADP
cana-2871	229	8	(	(	PUNCT
cana-2871	229	9	ϖ−	ϖ−	PROPN
cana-2871	229	10	υ𝒩h	υ𝒩h	PROPN
cana-2871	229	11	)	)	PUNCT
cana-2871	229	12	]	]	PUNCT
cana-2871	229	13	0	0	PUNCT
cana-2871	230	1	𝔱α	𝔱α	VERB
cana-2871	230	2	≤	≤	NOUN
cana-2871	231	1	[	[	X
cana-2871	231	2	𝔱]0	𝔱]0	NUM
cana-2871	231	3	𝔱α	𝔱α	VERB
cana-2871	231	4	this	this	PRON
cana-2871	231	5	gives	give	VERB
cana-2871	231	6	us	we	PRON
cana-2871	231	7	in	in	ADP
cana-2871	231	8	(	(	PUNCT
cana-2871	231	9	ϖ−	ϖ−	PROPN
cana-2871	231	10	υ𝒩h(𝔱α	υ𝒩h(𝔱α	NOUN
cana-2871	231	11	)	)	PUNCT
cana-2871	231	12	)	)	PUNCT
cana-2871	232	1	−	−	PROPN
cana-2871	232	2	in	in	ADP
cana-2871	232	3	(	(	PUNCT
cana-2871	232	4	ϖ−	ϖ−	PROPN
cana-2871	232	5	υ𝒩h(0	υ𝒩h(0	PROPN
cana-2871	232	6	)	)	PUNCT
cana-2871	232	7	)	)	PUNCT
cana-2871	232	8	≥	≥	PRON
cana-2871	233	1	−υ	−υ	NOUN
cana-2871	233	2	𝔱α	𝔱α	VERB
cana-2871	233	3	then	then	ADV
cana-2871	233	4	in	in	ADP
cana-2871	233	5	(	(	PUNCT
cana-2871	233	6	ϖ−υ𝒩h(𝔱α	ϖ−υ𝒩h(𝔱α	NOUN
cana-2871	233	7	)	)	PUNCT
cana-2871	233	8	ϖ−υ𝒩h(0	ϖ−υ𝒩h(0	NOUN
cana-2871	233	9	)	)	PUNCT
cana-2871	233	10	)	)	PUNCT
cana-2871	233	11	≥	≥	X
cana-2871	233	12	−υ𝔱α	−υ𝔱α	NOUN
cana-2871	233	13	taking	take	VERB
cana-2871	233	14	exponential	exponential	NOUN
cana-2871	233	15	of	of	ADP
cana-2871	233	16	both	both	DET
cana-2871	233	17	sides	side	NOUN
cana-2871	233	18	we	we	PRON
cana-2871	233	19	have	have	VERB
cana-2871	233	20	:	:	PUNCT
cana-2871	233	21	ϖ−υ𝒩h(𝔱α	ϖ−υ𝒩h(𝔱α	ADJ
cana-2871	233	22	)	)	PUNCT
cana-2871	233	23	ϖ−υ𝒩h(0	ϖ−υ𝒩h(0	PROPN
cana-2871	233	24	)	)	PUNCT
cana-2871	233	25	≥	≥	PRON
cana-2871	233	26	e−υ𝔱α	e−υ𝔱α	VERB
cana-2871	233	27	ϖ−	ϖ−	PROPN
cana-2871	233	28	υ𝒩h(𝔱α	υ𝒩h(𝔱α	NOUN
cana-2871	233	29	)	)	PUNCT
cana-2871	233	30	≥	≥	NOUN
cana-2871	233	31	(	(	PUNCT
cana-2871	233	32	ϖ−	ϖ−	X
cana-2871	233	33	υ𝒩h(0))e	υ𝒩h(0))e	X
cana-2871	233	34	−υ𝔱α	−υ𝔱α	VERB
cana-2871	233	35	which	which	PRON
cana-2871	233	36	gives	give	VERB
cana-2871	233	37	υ𝒩h(𝔱α	υ𝒩h(𝔱α	NOUN
cana-2871	233	38	)	)	PUNCT
cana-2871	233	39	≤	≤	NOUN
cana-2871	234	1	ϖ−	ϖ−	NOUN
cana-2871	234	2	(	(	PUNCT
cana-2871	234	3	ϖ−	ϖ−	PROPN
cana-2871	234	4	υ𝒩h(0))e	υ𝒩h(0))e	PROPN
cana-2871	234	5	−υ𝔱α	−υ𝔱α	VERB
cana-2871	234	6	𝒩h(𝔱α	𝒩h(𝔱α	NOUN
cana-2871	234	7	)	)	PUNCT
cana-2871	234	8	≤	≤	NUM
cana-2871	234	9	ϖ	ϖ	PRON
cana-2871	234	10	υ	υ	PRON
cana-2871	234	11	−	−	PROPN
cana-2871	234	12	(	(	PUNCT
cana-2871	234	13	ϖ−υ𝒩h(0	ϖ−υ𝒩h(0	NOUN
cana-2871	234	14	)	)	PUNCT
cana-2871	234	15	)	)	PUNCT
cana-2871	235	1	υ	υ	PRON
cana-2871	235	2	e−υ𝔱α	e−υ𝔱α	NOUN
cana-2871	235	3	(	(	PUNCT
cana-2871	235	4	11	11	NUM
cana-2871	235	5	)	)	PUNCT
cana-2871	235	6	taking	take	VERB
cana-2871	235	7	the	the	DET
cana-2871	235	8	inequality	inequality	NOUN
cana-2871	235	9	(	(	PUNCT
cana-2871	235	10	11	11	NUM
cana-2871	235	11	)	)	PUNCT
cana-2871	235	12	limit	limit	NOUN
cana-2871	235	13	as	as	SCONJ
cana-2871	235	14	𝔱α	𝔱α	PROPN
cana-2871	235	15	→	→	SYM
cana-2871	235	16	∞	∞	PROPN
cana-2871	235	17	,	,	PUNCT
cana-2871	235	18	we	we	PRON
cana-2871	235	19	get	get	VERB
cana-2871	235	20	𝒩h(𝔱α	𝒩h(𝔱α	NOUN
cana-2871	235	21	)	)	PUNCT
cana-2871	235	22	≤	≤	NOUN
cana-2871	236	1	ϖ	ϖ	PRON
cana-2871	236	2	υ	υ	NOUN
cana-2871	236	3	thus	thus	ADV
cana-2871	236	4	,	,	PUNCT
cana-2871	236	5	we	we	PRON
cana-2871	236	6	have	have	VERB
cana-2871	236	7	𝒩h(𝔱	𝒩h(𝔱	NOUN
cana-2871	236	8	)	)	PUNCT
cana-2871	236	9	≤	≤	NUM
cana-2871	236	10	ϖ	ϖ	X
cana-2871	236	11	υ	υ	NOUN
cana-2871	236	12	.	.	PUNCT
cana-2871	237	1	communications	communication	NOUN
cana-2871	237	2	on	on	ADP
cana-2871	237	3	applied	apply	VERB
cana-2871	237	4	nonlinear	nonlinear	ADJ
cana-2871	237	5	analysis	analysis	NOUN
cana-2871	237	6	issn	issn	NOUN
cana-2871	237	7	:	:	PUNCT
cana-2871	237	8	1074	1074	NUM
cana-2871	237	9	-	-	PUNCT
cana-2871	237	10	133x	133x	NUM
cana-2871	237	11	vol	vol	NOUN
cana-2871	237	12	32	32	NUM
cana-2871	237	13	no	no	NOUN
cana-2871	237	14	.	.	PUNCT
cana-2871	238	1	4s	4s	NUM
cana-2871	238	2	(	(	PUNCT
cana-2871	238	3	2025	2025	NUM
cana-2871	238	4	)	)	PUNCT
cana-2871	238	5	562	562	NUM
cana-2871	238	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	238	7	it	it	PRON
cana-2871	238	8	follows	follow	VERB
cana-2871	238	9	that	that	SCONJ
cana-2871	238	10	0	0	NUM
cana-2871	238	11	<	<	X
cana-2871	238	12	𝒩h(𝔱	𝒩h(𝔱	NOUN
cana-2871	238	13	)	)	PUNCT
cana-2871	238	14	≤	≤	NUM
cana-2871	239	1	ϖ	ϖ	X
cana-2871	239	2	υ	υ	NOUN
cana-2871	239	3	.	.	PUNCT
cana-2871	240	1	as	as	ADP
cana-2871	240	2	a	a	DET
cana-2871	240	3	result	result	NOUN
cana-2871	240	4	,	,	PUNCT
cana-2871	240	5	all	all	DET
cana-2871	240	6	the	the	DET
cana-2871	240	7	solutions	solution	NOUN
cana-2871	240	8	are	be	AUX
cana-2871	240	9	bounded	bound	VERB
cana-2871	240	10	in	in	ADP
cana-2871	240	11	a	a	DET
cana-2871	240	12	feasible	feasible	ADJ
cana-2871	240	13	region	region	NOUN
cana-2871	240	14	φ	φ	X
cana-2871	240	15	.	.	PUNCT
cana-2871	241	1	if	if	SCONJ
cana-2871	241	2	𝔛0	𝔛0	NOUN
cana-2871	241	3	=	=	SYM
cana-2871	241	4	0	0	NUM
cana-2871	241	5	,	,	PUNCT
cana-2871	241	6	the	the	DET
cana-2871	241	7	answer	answer	NOUN
cana-2871	241	8	for	for	ADP
cana-2871	241	9	the	the	DET
cana-2871	241	10	simple	simple	ADJ
cana-2871	241	11	case	case	NOUN
cana-2871	241	12	stays	stay	VERB
cana-2871	241	13	𝔛	𝔛	PROPN
cana-2871	241	14	=	=	NOUN
cana-2871	241	15	0	0	NUM
cana-2871	241	16	for	for	ADP
cana-2871	241	17	all	all	DET
cana-2871	241	18	t	t	PROPN
cana-2871	241	19	>	>	X
cana-2871	241	20	0	0	X
cana-2871	241	21	.	.	PUNCT
cana-2871	242	1	furthermore	furthermore	ADV
cana-2871	242	2	,	,	PUNCT
cana-2871	242	3	for	for	ADP
cana-2871	242	4	any	any	DET
cana-2871	242	5	t	t	NOUN
cana-2871	242	6	>	>	X
cana-2871	242	7	0	0	PROPN
cana-2871	242	8	,	,	PUNCT
cana-2871	242	9	every	every	DET
cana-2871	242	10	solution	solution	NOUN
cana-2871	242	11	trajectory	trajectory	NOUN
cana-2871	242	12	with	with	ADP
cana-2871	242	13	an	an	DET
cana-2871	242	14	initial	initial	ADJ
cana-2871	242	15	condition	condition	NOUN
cana-2871	242	16	in	in	ADP
cana-2871	242	17	ℛ+	ℛ+	NUM
cana-2871	242	18	5	5	NUM
cana-2871	242	19	will	will	AUX
cana-2871	242	20	remain	remain	VERB
cana-2871	242	21	in	in	ADP
cana-2871	242	22	the	the	DET
cana-2871	242	23	region	region	NOUN
cana-2871	242	24	φ	φ	PROPN
cana-2871	242	25	.	.	PUNCT
cana-2871	243	1	thus	thus	ADV
cana-2871	243	2	,	,	PUNCT
cana-2871	243	3	all	all	PRON
cana-2871	243	4	of	of	ADP
cana-2871	243	5	the	the	DET
cana-2871	243	6	solutions	solution	NOUN
cana-2871	243	7	in	in	ADP
cana-2871	243	8	ℛ+	ℛ+	NUM
cana-2871	243	9	5	5	NUM
cana-2871	243	10	are	be	AUX
cana-2871	243	11	drawn	draw	VERB
cana-2871	243	12	to	to	ADP
cana-2871	243	13	the	the	DET
cana-2871	243	14	region	region	NOUN
cana-2871	243	15	φ	φ	X
cana-2871	243	16	.	.	PUNCT
cana-2871	244	1	as	as	ADP
cana-2871	244	2	a	a	DET
cana-2871	244	3	potential	potential	ADJ
cana-2871	244	4	solution	solution	NOUN
cana-2871	244	5	set	set	VERB
cana-2871	244	6	of	of	ADP
cana-2871	244	7	state	state	NOUN
cana-2871	244	8	variables	variable	NOUN
cana-2871	244	9	for	for	ADP
cana-2871	244	10	our	our	PRON
cana-2871	244	11	system	system	NOUN
cana-2871	244	12	(	(	PUNCT
cana-2871	244	13	1–5	1–5	NUM
cana-2871	244	14	)	)	PUNCT
cana-2871	244	15	,	,	PUNCT
cana-2871	244	16	it	it	PRON
cana-2871	244	17	follows	follow	VERB
cana-2871	244	18	that	that	SCONJ
cana-2871	244	19	the	the	DET
cana-2871	244	20	closed	closed	ADJ
cana-2871	244	21	set	set	NOUN
cana-2871	244	22	φ	φ	PROPN
cana-2871	244	23	is	be	AUX
cana-2871	244	24	positively	positively	ADV
cana-2871	244	25	invariant	invariant	ADJ
cana-2871	244	26	in	in	ADP
cana-2871	244	27	ℛ+	ℛ+	NUM
cana-2871	244	28	5	5	NUM
cana-2871	244	29	.	.	PUNCT
cana-2871	245	1	therefore	therefore	ADV
cana-2871	245	2	,	,	PUNCT
cana-2871	245	3	the	the	DET
cana-2871	245	4	system	system	NOUN
cana-2871	245	5	(	(	PUNCT
cana-2871	245	6	1–5	1–5	NUM
cana-2871	245	7	)	)	PUNCT
cana-2871	245	8	,	,	PUNCT
cana-2871	245	9	or	or	CCONJ
cana-2871	245	10	equivalently	equivalently	ADV
cana-2871	245	11	(	(	PUNCT
cana-2871	245	12	7	7	NUM
cana-2871	245	13	)	)	PUNCT
cana-2871	245	14	,	,	PUNCT
cana-2871	245	15	is	be	AUX
cana-2871	245	16	well	well	ADV
cana-2871	245	17	-	-	PUNCT
cana-2871	245	18	posed	pose	VERB
cana-2871	245	19	mathematically	mathematically	ADV
cana-2871	245	20	and	and	CCONJ
cana-2871	245	21	epidemiologically	epidemiologically	NOUN
cana-2871	245	22	.	.	PUNCT
cana-2871	246	1	theorem	theorem	NOUN
cana-2871	246	2	3	3	NUM
cana-2871	246	3	.	.	PUNCT
cana-2871	247	1	the	the	DET
cana-2871	247	2	hiv	hiv	PROPN
cana-2871	247	3	free	free	PROPN
cana-2871	247	4	equilibrium	equilibrium	NOUN
cana-2871	247	5	point,𝔈0	point,𝔈0	PROPN
cana-2871	247	6	,	,	PUNCT
cana-2871	247	7	is	be	AUX
cana-2871	247	8	stable	stable	ADJ
cana-2871	247	9	if	if	SCONJ
cana-2871	247	10	ℜ0	ℜ0	PROPN
cana-2871	247	11	<	<	X
cana-2871	247	12	1	1	NUM
cana-2871	247	13	,	,	PUNCT
cana-2871	247	14	whereas	whereas	SCONJ
cana-2871	247	15	𝔈0	𝔈0	NOUN
cana-2871	247	16	is	be	AUX
cana-2871	247	17	unstable	unstable	ADJ
cana-2871	247	18	if	if	SCONJ
cana-2871	247	19	ℜ0	ℜ0	PROPN
cana-2871	247	20	>	>	X
cana-2871	247	21	1	1	X
cana-2871	247	22	.	.	PUNCT
cana-2871	247	23	proof	proof	NOUN
cana-2871	247	24	.	.	PUNCT
cana-2871	248	1	the	the	DET
cana-2871	248	2	jacobian	jacobian	ADJ
cana-2871	248	3	matrix	matrix	NOUN
cana-2871	248	4	associated	associate	VERB
cana-2871	248	5	to	to	ADP
cana-2871	248	6	the	the	DET
cana-2871	248	7	system	system	NOUN
cana-2871	248	8	(	(	PUNCT
cana-2871	248	9	1	1	NUM
cana-2871	248	10	-	-	SYM
cana-2871	248	11	5	5	NUM
cana-2871	248	12	)	)	PUNCT
cana-2871	248	13	at	at	ADP
cana-2871	248	14	a	a	DET
cana-2871	248	15	given	give	VERB
cana-2871	248	16	point	point	NOUN
cana-2871	248	17	(	(	PUNCT
cana-2871	248	18	hs	hs	PROPN
cana-2871	248	19	,	,	PUNCT
cana-2871	248	20	hi	hi	INTJ
cana-2871	248	21	,	,	PUNCT
cana-2871	248	22	hc	hc	PROPN
cana-2871	248	23	,	,	PUNCT
cana-2871	248	24	hn	hn	PROPN
cana-2871	248	25	,	,	PUNCT
cana-2871	248	26	ha	ha	INTJ
cana-2871	248	27	)	)	PUNCT
cana-2871	248	28	is	be	AUX
cana-2871	248	29	calculated	calculate	VERB
cana-2871	248	30	as	as	SCONJ
cana-2871	248	31	follows	follow	VERB
cana-2871	248	32	:	:	PUNCT
cana-2871	248	33	𝒥(𝔈0	𝒥(𝔈0	NUM
cana-2871	248	34	)	)	PUNCT
cana-2871	248	35	=	=	SYM
cana-2871	248	36	(	(	PUNCT
cana-2871	248	37	−(ϖ1	−(ϖ1	X
cana-2871	248	38	+	+	CCONJ
cana-2871	248	39	υ	υ	X
cana-2871	248	40	)	)	PUNCT
cana-2871	248	41	0	0	NUM
cana-2871	248	42	0	0	NUM
cana-2871	248	43	0	0	NUM
cana-2871	248	44	0	0	NUM
cana-2871	249	1	ϖ1	ϖ1	NOUN
cana-2871	249	2	0	0	NUM
cana-2871	249	3	0	0	NUM
cana-2871	249	4	−(ϖ2	−(ϖ2	NUM
cana-2871	249	5	+	+	CCONJ
cana-2871	249	6	ϖ3	ϖ3	NOUN
cana-2871	249	7	+	+	CCONJ
cana-2871	249	8	υ	υ	NOUN
cana-2871	249	9	)	)	PUNCT
cana-2871	249	10	ϖ2	ϖ2	NOUN
cana-2871	249	11	ϖ3	ϖ3	NOUN
cana-2871	249	12	0	0	PUNCT
cana-2871	249	13	−(ϖ4	−(ϖ4	NOUN
cana-2871	249	14	+	+	CCONJ
cana-2871	249	15	υ	υ	NOUN
cana-2871	249	16	)	)	PUNCT
cana-2871	249	17	0	0	NUM
cana-2871	249	18	0	0	NUM
cana-2871	249	19	0	0	NUM
cana-2871	249	20	−(ϖ5	−(ϖ5	NUM
cana-2871	249	21	+	+	CCONJ
cana-2871	249	22	υ	υ	NOUN
cana-2871	249	23	)	)	PUNCT
cana-2871	249	24	0	0	NUM
cana-2871	249	25	0	0	NUM
cana-2871	249	26	0	0	NUM
cana-2871	249	27	0	0	NUM
cana-2871	249	28	0	0	NUM
cana-2871	249	29	ϖ4	ϖ4	NOUN
cana-2871	249	30	ϖ5	ϖ5	NOUN
cana-2871	249	31	−(υ+	−(υ+	NOUN
cana-2871	249	32	a	a	NOUN
cana-2871	249	33	)	)	PUNCT
cana-2871	249	34	)	)	PUNCT
cana-2871	249	35	and	and	CCONJ
cana-2871	249	36	the	the	DET
cana-2871	249	37	characteristic	characteristic	ADJ
cana-2871	249	38	polynomial	polynomial	PROPN
cana-2871	249	39	is|𝒥(𝔈0	is|𝒥(𝔈0	NOUN
cana-2871	249	40	)	)	PUNCT
cana-2871	249	41	−	−	PROPN
cana-2871	250	1	λi|	λi|	NOUN
cana-2871	250	2	=	=	SYM
cana-2871	250	3	0	0	X
cana-2871	250	4	.	.	PUNCT
cana-2871	251	1	solving	solve	VERB
cana-2871	251	2	this	this	DET
cana-2871	251	3	polynomial	polynomial	NOUN
cana-2871	251	4	,	,	PUNCT
cana-2871	251	5	the	the	DET
cana-2871	251	6	eigen	eigen	PROPN
cana-2871	251	7	values	value	NOUN
cana-2871	251	8	are	be	AUX
cana-2871	251	9	given	give	VERB
cana-2871	251	10	by	by	ADP
cana-2871	251	11	|𝒥(𝔈0	|𝒥(𝔈0	NOUN
cana-2871	251	12	)	)	PUNCT
cana-2871	251	13	−	−	PROPN
cana-2871	252	1	λi|	λi|	NOUN
cana-2871	252	2	=	=	PUNCT
cana-2871	252	3	(	(	PUNCT
cana-2871	252	4	−(ϖ1	−(ϖ1	X
cana-2871	252	5	+	+	CCONJ
cana-2871	252	6	υ	υ	X
cana-2871	252	7	)	)	PUNCT
cana-2871	252	8	−	−	NOUN
cana-2871	253	1	λ1	λ1	ADJ
cana-2871	253	2	0	0	NUM
cana-2871	253	3	0	0	NUM
cana-2871	253	4	0	0	NUM
cana-2871	253	5	0	0	NUM
cana-2871	254	1	ϖ1	ϖ1	NOUN
cana-2871	254	2	0	0	NUM
cana-2871	254	3	0	0	NUM
cana-2871	254	4	−(ϖ2	−(ϖ2	NUM
cana-2871	254	5	+	+	CCONJ
cana-2871	254	6	ϖ3	ϖ3	NOUN
cana-2871	254	7	+	+	CCONJ
cana-2871	254	8	υ	υ	NOUN
cana-2871	254	9	)	)	PUNCT
cana-2871	254	10	−	−	PROPN
cana-2871	254	11	λ2	λ2	PROPN
cana-2871	254	12	ϖ2	ϖ2	NOUN
cana-2871	254	13	ϖ3	ϖ3	NOUN
cana-2871	254	14	0	0	PUNCT
cana-2871	254	15	−(ϖ4	−(ϖ4	NOUN
cana-2871	254	16	+	+	CCONJ
cana-2871	254	17	υ	υ	NOUN
cana-2871	254	18	)	)	PUNCT
cana-2871	254	19	−	−	PROPN
cana-2871	255	1	λ3	λ3	PROPN
cana-2871	255	2	0	0	NUM
cana-2871	255	3	0	0	NUM
cana-2871	255	4	0	0	NUM
cana-2871	255	5	−(ϖ5	−(ϖ5	NUM
cana-2871	255	6	+	+	CCONJ
cana-2871	255	7	υ	υ	NOUN
cana-2871	255	8	)	)	PUNCT
cana-2871	255	9	−	−	NOUN
cana-2871	256	1	λ4	λ4	ADJ
cana-2871	256	2	0	0	NUM
cana-2871	256	3	0	0	NUM
cana-2871	256	4	0	0	NUM
cana-2871	256	5	0	0	NUM
cana-2871	256	6	0	0	NUM
cana-2871	256	7	ϖ4	ϖ4	NOUN
cana-2871	256	8	ϖ5	ϖ5	NOUN
cana-2871	256	9	−(υ+	−(υ+	NOUN
cana-2871	256	10	a	a	NOUN
cana-2871	256	11	)	)	PUNCT
cana-2871	256	12	−	−	NOUN
cana-2871	256	13	λ5	λ5	NOUN
cana-2871	256	14	)	)	PUNCT
cana-2871	256	15	=	=	SYM
cana-2871	256	16	0	0	NUM
cana-2871	257	1	we	we	PRON
cana-2871	257	2	get	get	VERB
cana-2871	257	3	λ1	λ1	ADJ
cana-2871	257	4	=	=	SYM
cana-2871	257	5	−(ϖ1	−(ϖ1	PROPN
cana-2871	257	6	+	+	CCONJ
cana-2871	257	7	υ	υ	X
cana-2871	257	8	)	)	PUNCT
cana-2871	257	9	<	<	X
cana-2871	257	10	0	0	NUM
cana-2871	257	11	λ2	λ2	NOUN
cana-2871	257	12	=	=	SYM
cana-2871	257	13	−(ϖ2	−(ϖ2	ADJ
cana-2871	257	14	+	+	CCONJ
cana-2871	257	15	ϖ3	ϖ3	NOUN
cana-2871	257	16	+	+	CCONJ
cana-2871	257	17	υ	υ	NOUN
cana-2871	257	18	)	)	PUNCT
cana-2871	257	19	<	<	X
cana-2871	257	20	0	0	NUM
cana-2871	258	1	λ3	λ3	NOUN
cana-2871	258	2	=	=	NOUN
cana-2871	258	3	−(ϖ4	−(ϖ4	PROPN
cana-2871	258	4	+	+	NOUN
cana-2871	258	5	υ	υ	X
cana-2871	258	6	)	)	PUNCT
cana-2871	258	7	<	<	X
cana-2871	258	8	0	0	NUM
cana-2871	258	9	λ4	λ4	NOUN
cana-2871	258	10	=	=	SYM
cana-2871	258	11	−(ϖ5	−(ϖ5	X
cana-2871	258	12	+	+	CCONJ
cana-2871	258	13	υ	υ	X
cana-2871	258	14	)	)	PUNCT
cana-2871	258	15	<	<	X
cana-2871	258	16	0	0	NUM
cana-2871	258	17	λ5	λ5	NOUN
cana-2871	258	18	=	=	PUNCT
cana-2871	258	19	−(υ+	−(υ+	NOUN
cana-2871	258	20	a	a	X
cana-2871	258	21	)	)	PUNCT
cana-2871	258	22	<	<	X
cana-2871	258	23	0	0	X
cana-2871	259	1	all	all	DET
cana-2871	259	2	eigenvalues	eigenvalue	NOUN
cana-2871	259	3	are	be	AUX
cana-2871	259	4	negative	negative	ADJ
cana-2871	259	5	.	.	PUNCT
cana-2871	260	1	hence	hence	ADV
cana-2871	260	2	,	,	PUNCT
cana-2871	260	3	𝔈0	𝔈0	NOUN
cana-2871	260	4	is	be	AUX
cana-2871	260	5	stable.thus	stable.thu	NOUN
cana-2871	260	6	biologically	biologically	ADV
cana-2871	260	7	it	it	PRON
cana-2871	260	8	reduces	reduce	VERB
cana-2871	260	9	hiv	hiv	PROPN
cana-2871	260	10	phobia	phobia	PROPN
cana-2871	260	11	.	.	PUNCT
cana-2871	261	1	theorem	theorem	VERB
cana-2871	261	2	4	4	NUM
cana-2871	261	3	.	.	PUNCT
cana-2871	262	1	if	if	SCONJ
cana-2871	262	2	ℜ0	ℜ0	PROPN
cana-2871	262	3	>	>	X
cana-2871	262	4	1	1	NUM
cana-2871	262	5	,	,	PUNCT
cana-2871	262	6	then	then	ADV
cana-2871	262	7	the	the	DET
cana-2871	262	8	system	system	NOUN
cana-2871	262	9	(	(	PUNCT
cana-2871	262	10	1	1	NUM
cana-2871	262	11	-	-	SYM
cana-2871	262	12	5	5	NUM
cana-2871	262	13	)	)	PUNCT
cana-2871	262	14	has	have	VERB
cana-2871	262	15	a	a	DET
cana-2871	262	16	unique	unique	ADJ
cana-2871	262	17	hiv	hiv	NOUN
cana-2871	262	18	point	point	NOUN
cana-2871	262	19	of	of	ADP
cana-2871	262	20	endemic	endemic	ADJ
cana-2871	262	21	equilibrium	equilibrium	NOUN
cana-2871	262	22	.	.	PUNCT
cana-2871	263	1	proof	proof	NOUN
cana-2871	263	2	.	.	PUNCT
cana-2871	264	1	using	use	VERB
cana-2871	264	2	the	the	DET
cana-2871	264	3	lyapunov	lyapunov	ADJ
cana-2871	264	4	function	function	NOUN
cana-2871	264	5	,	,	PUNCT
cana-2871	264	6	the	the	DET
cana-2871	264	7	endemic	endemic	ADJ
cana-2871	264	8	equilibrium	equilibrium	NOUN
cana-2871	264	9	point	point	NOUN
cana-2871	264	10	's	's	PART
cana-2871	264	11	locally	locally	ADV
cana-2871	264	12	stable	stable	ADJ
cana-2871	264	13	analysis	analysis	NOUN
cana-2871	264	14	is	be	AUX
cana-2871	264	15	examined	examine	VERB
cana-2871	264	16	.	.	PUNCT
cana-2871	265	1	for	for	ADP
cana-2871	265	2	this	this	PRON
cana-2871	265	3	,	,	PUNCT
cana-2871	265	4	the	the	DET
cana-2871	265	5	following	follow	VERB
cana-2871	265	6	is	be	AUX
cana-2871	265	7	defined	define	VERB
cana-2871	265	8	:	:	PUNCT
cana-2871	265	9	𝔏(hs	𝔏(hs	ADJ
cana-2871	265	10	,	,	PUNCT
cana-2871	265	11	hi	hi	INTJ
cana-2871	265	12	,	,	PUNCT
cana-2871	265	13	hc	hc	PROPN
cana-2871	265	14	,	,	PUNCT
cana-2871	265	15	hn	hn	PROPN
cana-2871	265	16	,	,	PUNCT
cana-2871	265	17	ha	ha	INTJ
cana-2871	265	18	)	)	PUNCT
cana-2871	265	19	=	=	SYM
cana-2871	265	20	1	1	NUM
cana-2871	265	21	2	2	NUM
cana-2871	265	22	(	(	PUNCT
cana-2871	265	23	hs	hs	X
cana-2871	265	24	2	2	PROPN
cana-2871	266	1	+	+	NOUN
cana-2871	266	2	hi	hi	ADJ
cana-2871	266	3	2	2	NUM
cana-2871	266	4	+	+	NOUN
cana-2871	266	5	hc	hc	PRON
cana-2871	266	6	2	2	NUM
cana-2871	266	7	+	+	CCONJ
cana-2871	266	8	hn	hn	PROPN
cana-2871	266	9	2	2	NUM
cana-2871	266	10	+	+	CCONJ
cana-2871	266	11	ha	ha	INTJ
cana-2871	266	12	2	2	NUM
cana-2871	266	13	)	)	PUNCT
cana-2871	266	14	at	at	ADP
cana-2871	266	15	the	the	DET
cana-2871	266	16	endemic	endemic	ADJ
cana-2871	266	17	equilibrium	equilibrium	NOUN
cana-2871	266	18	point	point	NOUN
cana-2871	266	19	,	,	PUNCT
cana-2871	266	20	the	the	DET
cana-2871	266	21	function	function	NOUN
cana-2871	266	22	𝔏	𝔏	PROPN
cana-2871	266	23	equals	equal	VERB
cana-2871	266	24	zero	zero	NUM
cana-2871	266	25	and	and	CCONJ
cana-2871	266	26	is	be	AUX
cana-2871	266	27	bigger	big	ADJ
cana-2871	266	28	than	than	ADP
cana-2871	266	29	zero	zero	NUM
cana-2871	266	30	.	.	PUNCT
cana-2871	267	1	when	when	SCONJ
cana-2871	267	2	we	we	PRON
cana-2871	267	3	differentiate	differentiate	VERB
cana-2871	267	4	the	the	DET
cana-2871	267	5	function	function	NOUN
cana-2871	267	6	in	in	ADP
cana-2871	267	7	relation	relation	NOUN
cana-2871	267	8	to	to	ADP
cana-2871	267	9	time	time	NOUN
cana-2871	267	10	,	,	PUNCT
cana-2871	267	11	we	we	PRON
cana-2871	267	12	get	get	VERB
cana-2871	267	13	communications	communication	NOUN
cana-2871	267	14	on	on	ADP
cana-2871	267	15	applied	apply	VERB
cana-2871	267	16	nonlinear	nonlinear	ADJ
cana-2871	267	17	analysis	analysis	NOUN
cana-2871	267	18	issn	issn	NOUN
cana-2871	267	19	:	:	PUNCT
cana-2871	267	20	1074	1074	NUM
cana-2871	267	21	-	-	PUNCT
cana-2871	267	22	133x	133x	NUM
cana-2871	267	23	vol	vol	NOUN
cana-2871	267	24	32	32	NUM
cana-2871	267	25	no	no	NOUN
cana-2871	267	26	.	.	PUNCT
cana-2871	268	1	4s	4s	NUM
cana-2871	268	2	(	(	PUNCT
cana-2871	268	3	2025	2025	NUM
cana-2871	268	4	)	)	PUNCT
cana-2871	268	5	563	563	NUM
cana-2871	268	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	268	7	d𝔏	d𝔏	NOUN
cana-2871	268	8	dt	dt	NOUN
cana-2871	268	9	=	=	NOUN
cana-2871	268	10	1	1	NUM
cana-2871	268	11	2	2	NUM
cana-2871	268	12	(	(	PUNCT
cana-2871	268	13	2hs	2hs	ADJ
cana-2871	268	14	dhs	dhs	PROPN
cana-2871	268	15	dt	dt	PROPN
cana-2871	269	1	+	+	CCONJ
cana-2871	269	2	2hi	2hi	ADJ
cana-2871	269	3	dhi	dhi	PROPN
cana-2871	269	4	dt	dt	PROPN
cana-2871	270	1	+	+	CCONJ
cana-2871	270	2	2hc	2hc	ADJ
cana-2871	270	3	dhc	dhc	X
cana-2871	270	4	dt	dt	NOUN
cana-2871	270	5	+	+	CCONJ
cana-2871	270	6	2hn	2hn	ADJ
cana-2871	270	7	dhn	dhn	NOUN
cana-2871	270	8	dt	dt	NOUN
cana-2871	270	9	+	+	CCONJ
cana-2871	270	10	2	2	NUM
cana-2871	270	11	ha	ha	INTJ
cana-2871	270	12	dha	dha	PROPN
cana-2871	270	13	dt	dt	PROPN
cana-2871	270	14	)	)	PUNCT
cana-2871	270	15	applying	apply	VERB
cana-2871	270	16	model	model	NOUN
cana-2871	270	17	(	(	PUNCT
cana-2871	270	18	1–5	1–5	NUM
cana-2871	270	19	)	)	PUNCT
cana-2871	270	20	to	to	ADP
cana-2871	270	21	the	the	DET
cana-2871	270	22	derivative	derivative	ADJ
cana-2871	270	23	values	value	NOUN
cana-2871	270	24	,	,	PUNCT
cana-2871	270	25	we	we	PRON
cana-2871	270	26	obtain	obtain	VERB
cana-2871	270	27	d𝔏	d𝔏	NOUN
cana-2871	270	28	dt	dt	NOUN
cana-2871	270	29	=	=	PUNCT
cana-2871	270	30	hs(ϖ−	hs(ϖ−	NOUN
cana-2871	270	31	(	(	PUNCT
cana-2871	270	32	ϖ1	ϖ1	VERB
cana-2871	270	33	+	+	CCONJ
cana-2871	270	34	υ)hs	υ)hs	PROPN
cana-2871	270	35	)	)	PUNCT
cana-2871	271	1	+	+	NUM
cana-2871	271	2	hi(ϖ1hs	hi(ϖ1hs	NUM
cana-2871	271	3	−	−	PROPN
cana-2871	271	4	(	(	PUNCT
cana-2871	271	5	ϖ2	ϖ2	NOUN
cana-2871	271	6	+	+	CCONJ
cana-2871	271	7	ϖ3	ϖ3	NOUN
cana-2871	271	8	+	+	CCONJ
cana-2871	271	9	υ)hi	υ)hi	PROPN
cana-2871	271	10	)	)	PUNCT
cana-2871	272	1	+	+	NOUN
cana-2871	272	2	hc(ϖ2hi	hc(ϖ2hi	NOUN
cana-2871	272	3	−	−	PROPN
cana-2871	272	4	(	(	PUNCT
cana-2871	272	5	ϖ4	ϖ4	PROPN
cana-2871	272	6	+	+	CCONJ
cana-2871	272	7	υ)hc	υ)hc	PROPN
cana-2871	272	8	)	)	PUNCT
cana-2871	272	9	+	+	NUM
cana-2871	272	10	hn(ϖ3hi	hn(ϖ3hi	NOUN
cana-2871	272	11	−	−	NOUN
cana-2871	272	12	(	(	PUNCT
cana-2871	272	13	ϖ5	ϖ5	NOUN
cana-2871	272	14	+	+	CCONJ
cana-2871	272	15	υ)hn	υ)hn	PROPN
cana-2871	272	16	)	)	PUNCT
cana-2871	272	17	+	+	NOUN
cana-2871	272	18	ha(ϖ4hc	ha(ϖ4hc	NOUN
cana-2871	272	19	+	+	X
cana-2871	272	20	ϖ5hn	ϖ5hn	X
cana-2871	272	21	−	−	X
cana-2871	272	22	(	(	PUNCT
cana-2871	272	23	υ+	υ+	X
cana-2871	272	24	a)ha	a)ha	PROPN
cana-2871	272	25	)	)	PUNCT
cana-2871	272	26	by	by	ADP
cana-2871	272	27	solving	solve	VERB
cana-2871	272	28	this	this	PRON
cana-2871	272	29	,	,	PUNCT
cana-2871	272	30	we	we	PRON
cana-2871	272	31	get	get	VERB
cana-2871	272	32	d𝔏	d𝔏	NOUN
cana-2871	272	33	dt	dt	NOUN
cana-2871	272	34	=	=	SYM
cana-2871	272	35	−([ϖ1	−([ϖ1	NUM
cana-2871	272	36	+	+	CCONJ
cana-2871	272	37	υ]hs	υ]hs	PRON
cana-2871	272	38	2	2	NUM
cana-2871	272	39	+	+	CCONJ
cana-2871	272	40	[	[	X
cana-2871	272	41	ϖ2	ϖ2	NOUN
cana-2871	272	42	+	+	CCONJ
cana-2871	272	43	ϖ3	ϖ3	NOUN
cana-2871	272	44	+	+	CCONJ
cana-2871	272	45	υ]hi	υ]hi	SYM
cana-2871	272	46	2	2	NUM
cana-2871	272	47	+	+	CCONJ
cana-2871	273	1	[	[	X
cana-2871	273	2	ϖ4	ϖ4	NOUN
cana-2871	273	3	+	+	CCONJ
cana-2871	273	4	υ]hc	υ]hc	PROPN
cana-2871	273	5	2	2	NUM
cana-2871	273	6	+	+	CCONJ
cana-2871	273	7	[	[	X
cana-2871	273	8	ϖ5	ϖ5	X
cana-2871	273	9	+	+	X
cana-2871	273	10	υ]hn	υ]hn	NOUN
cana-2871	273	11	2	2	NUM
cana-2871	274	1	+	+	CCONJ
cana-2871	275	1	[	[	X
cana-2871	275	2	υ	υ	X
cana-2871	275	3	+	+	CCONJ
cana-2871	275	4	a]ha	a]ha	PROPN
cana-2871	275	5	2	2	NUM
cana-2871	275	6	)	)	PUNCT
cana-2871	275	7	+	+	NOUN
cana-2871	276	1	[	[	X
cana-2871	276	2	[	[	X
cana-2871	276	3	ϖ	ϖ	X
cana-2871	276	4	+	+	ADJ
cana-2871	276	5	ϖ1hi]hs	ϖ1hi]h	NOUN
cana-2871	276	6	+	+	CCONJ
cana-2871	276	7	[	[	X
cana-2871	276	8	ϖ2hc	ϖ2hc	X
cana-2871	276	9	+	+	NUM
cana-2871	276	10	ϖ3hn]hi	ϖ3hn]hi	NOUN
cana-2871	276	11	+	+	CCONJ
cana-2871	276	12	[	[	X
cana-2871	276	13	ϖ4hc	ϖ4hc	X
cana-2871	276	14	+	+	X
cana-2871	276	15	ϖ5hn	ϖ5hn	NOUN
cana-2871	276	16	]	]	X
cana-2871	276	17	ha	ha	X
cana-2871	276	18	]	]	X
cana-2871	276	19	from	from	ADP
cana-2871	276	20	model	model	NOUN
cana-2871	276	21	(	(	PUNCT
cana-2871	276	22	1	1	NUM
cana-2871	276	23	-	-	SYM
cana-2871	276	24	5	5	NUM
cana-2871	276	25	)	)	PUNCT
cana-2871	276	26	,	,	PUNCT
cana-2871	276	27	we	we	PRON
cana-2871	276	28	know	know	VERB
cana-2871	276	29	that	that	SCONJ
cana-2871	276	30	ϖ,ϖ1,ϖ2,ϖ3,ϖ4,ϖ5	ϖ,ϖ1,ϖ2,ϖ3,ϖ4,ϖ5	PROPN
cana-2871	276	31	,	,	PUNCT
cana-2871	276	32	υ	υ	NOUN
cana-2871	276	33	,	,	PUNCT
cana-2871	276	34	and	and	CCONJ
cana-2871	276	35	a	a	PRON
cana-2871	276	36	are	be	AUX
cana-2871	276	37	all	all	PRON
cana-2871	276	38	non	non	ADJ
cana-2871	276	39	-	-	ADJ
cana-2871	276	40	negative	negative	ADJ
cana-2871	276	41	,	,	PUNCT
cana-2871	276	42	and	and	CCONJ
cana-2871	276	43	the	the	DET
cana-2871	276	44	values	value	NOUN
cana-2871	276	45	of	of	ADP
cana-2871	276	46	hs	hs	PROPN
cana-2871	276	47	,	,	PUNCT
cana-2871	276	48	hi	hi	INTJ
cana-2871	276	49	,	,	PUNCT
cana-2871	276	50	hc	hc	PROPN
cana-2871	276	51	,	,	PUNCT
cana-2871	276	52	hn	hn	NOUN
cana-2871	276	53	,	,	PUNCT
cana-2871	276	54	and	and	CCONJ
cana-2871	276	55	ha	ha	INTJ
cana-2871	276	56	are	be	AUX
cana-2871	276	57	all	all	PRON
cana-2871	276	58	non	non	ADJ
cana-2871	276	59	-	-	ADJ
cana-2871	276	60	negative	negative	ADJ
cana-2871	276	61	.	.	PUNCT
cana-2871	277	1	as	as	ADP
cana-2871	277	2	a	a	DET
cana-2871	277	3	result	result	NOUN
cana-2871	277	4	,	,	PUNCT
cana-2871	277	5	it	it	PRON
cana-2871	277	6	is	be	AUX
cana-2871	277	7	clear	clear	ADJ
cana-2871	277	8	that	that	SCONJ
cana-2871	277	9	every	every	DET
cana-2871	277	10	term	term	NOUN
cana-2871	277	11	enclosed	enclose	VERB
cana-2871	277	12	in	in	ADP
cana-2871	277	13	a	a	DET
cana-2871	277	14	closed	closed	ADJ
cana-2871	277	15	bracket	bracket	NOUN
cana-2871	277	16	is	be	AUX
cana-2871	277	17	non	non	ADJ
cana-2871	277	18	-	-	ADJ
cana-2871	277	19	negative	negative	ADJ
cana-2871	277	20	,	,	PUNCT
cana-2871	277	21	and	and	CCONJ
cana-2871	277	22	every	every	DET
cana-2871	277	23	term	term	NOUN
cana-2871	277	24	enclosed	enclose	VERB
cana-2871	277	25	in	in	ADP
cana-2871	277	26	an	an	DET
cana-2871	277	27	open	open	ADJ
cana-2871	277	28	bracket	bracket	NOUN
cana-2871	277	29	is	be	AUX
cana-2871	277	30	non	non	ADJ
cana-2871	277	31	-	-	ADJ
cana-2871	277	32	positive	positive	ADJ
cana-2871	277	33	.	.	PUNCT
cana-2871	278	1	thus	thus	ADV
cana-2871	278	2	,	,	PUNCT
cana-2871	278	3	we	we	PRON
cana-2871	278	4	have	have	VERB
cana-2871	278	5	−([ϖ1	−([ϖ1	NOUN
cana-2871	278	6	+	+	NOUN
cana-2871	278	7	υ]hs	υ]hs	PRON
cana-2871	278	8	2	2	NUM
cana-2871	278	9	+	+	CCONJ
cana-2871	279	1	[	[	X
cana-2871	279	2	ϖ2	ϖ2	NOUN
cana-2871	279	3	+	+	CCONJ
cana-2871	279	4	ϖ3	ϖ3	NOUN
cana-2871	279	5	+	+	CCONJ
cana-2871	279	6	υ]hi	υ]hi	SYM
cana-2871	279	7	2	2	NUM
cana-2871	279	8	+	+	CCONJ
cana-2871	279	9	[	[	X
cana-2871	279	10	ϖ4	ϖ4	NOUN
cana-2871	279	11	+	+	CCONJ
cana-2871	279	12	υ]hc	υ]hc	PROPN
cana-2871	279	13	2	2	NUM
cana-2871	279	14	+	+	CCONJ
cana-2871	279	15	[	[	X
cana-2871	279	16	ϖ5	ϖ5	X
cana-2871	279	17	+	+	X
cana-2871	279	18	υ]hn	υ]hn	NOUN
cana-2871	279	19	2	2	NUM
cana-2871	280	1	+	+	CCONJ
cana-2871	280	2	[	[	X
cana-2871	280	3	υ	υ	X
cana-2871	280	4	+	+	CCONJ
cana-2871	280	5	a]ha	a]ha	PROPN
cana-2871	280	6	2	2	NUM
cana-2871	280	7	)	)	PUNCT
cana-2871	280	8	≤	≤	NOUN
cana-2871	280	9	0	0	PUNCT
cana-2871	281	1	[	[	X
cana-2871	281	2	[	[	X
cana-2871	281	3	ϖ+	ϖ+	X
cana-2871	281	4	ϖ1hi]hs	ϖ1hi]hs	X
cana-2871	281	5	+	+	X
cana-2871	282	1	[	[	X
cana-2871	282	2	ϖ2hc	ϖ2hc	X
cana-2871	282	3	+	+	NUM
cana-2871	282	4	ϖ3hn]hi	ϖ3hn]hi	NOUN
cana-2871	282	5	+	+	CCONJ
cana-2871	283	1	[	[	X
cana-2871	283	2	ϖ4hc	ϖ4hc	X
cana-2871	283	3	+	+	X
cana-2871	283	4	ϖ5hn	ϖ5hn	NOUN
cana-2871	283	5	]	]	X
cana-2871	283	6	ha	ha	X
cana-2871	283	7	]	]	X
cana-2871	283	8	≥	≥	NOUN
cana-2871	283	9	0	0	PUNCT
cana-2871	283	10	thus	thus	ADV
cana-2871	283	11	,	,	PUNCT
cana-2871	283	12	we	we	PRON
cana-2871	283	13	can	can	AUX
cana-2871	283	14	say	say	VERB
cana-2871	283	15	that	that	SCONJ
cana-2871	283	16	d𝔏	d𝔏	PROPN
cana-2871	283	17	dt	dt	X
cana-2871	283	18	≤	≤	NUM
cana-2871	283	19	0	0	NUM
cana-2871	283	20	for	for	ADP
cana-2871	283	21	all	all	DET
cana-2871	283	22	non	non	ADJ
cana-2871	283	23	-	-	ADJ
cana-2871	283	24	zero	zero	NUM
cana-2871	283	25	vectors	vector	NOUN
cana-2871	283	26	hs	hs	PROPN
cana-2871	283	27	,	,	PUNCT
cana-2871	283	28	hi	hi	INTJ
cana-2871	283	29	,	,	PUNCT
cana-2871	283	30	hc	hc	PROPN
cana-2871	283	31	,	,	PUNCT
cana-2871	283	32	hn	hn	NOUN
cana-2871	283	33	,	,	PUNCT
cana-2871	283	34	and	and	CCONJ
cana-2871	283	35	ha	ha	INTJ
cana-2871	283	36	and	and	CCONJ
cana-2871	283	37	non	non	ADJ
cana-2871	283	38	-	-	ADJ
cana-2871	283	39	negative	negative	ADJ
cana-2871	283	40	parameters	parameter	NOUN
cana-2871	283	41	that	that	PRON
cana-2871	283	42	satisfy	satisfy	VERB
cana-2871	283	43	the	the	DET
cana-2871	283	44	model	model	NOUN
cana-2871	283	45	(	(	PUNCT
cana-2871	283	46	1	1	NUM
cana-2871	283	47	-	-	SYM
cana-2871	283	48	5	5	NUM
cana-2871	283	49	)	)	PUNCT
cana-2871	283	50	.	.	PUNCT
cana-2871	284	1	the	the	DET
cana-2871	284	2	endemic	endemic	ADJ
cana-2871	284	3	equilibrium	equilibrium	NOUN
cana-2871	284	4	point	point	NOUN
cana-2871	284	5	is	be	AUX
cana-2871	284	6	locally	locally	ADV
cana-2871	284	7	asymptotically	asymptotically	ADV
cana-2871	284	8	stable	stable	ADJ
cana-2871	284	9	since	since	SCONJ
cana-2871	284	10	the	the	DET
cana-2871	284	11	derivative	derivative	NOUN
cana-2871	284	12	of	of	ADP
cana-2871	284	13	the	the	DET
cana-2871	284	14	lyapunov	lyapunov	ADJ
cana-2871	284	15	function	function	NOUN
cana-2871	284	16	𝔏	𝔏	PROPN
cana-2871	284	17	is	be	AUX
cana-2871	284	18	non	non	ADJ
cana-2871	284	19	-	-	ADJ
cana-2871	284	20	positive	positive	ADJ
cana-2871	284	21	.	.	PUNCT
cana-2871	285	1	this	this	DET
cana-2871	285	2	finding	finding	NOUN
cana-2871	285	3	suggests	suggest	VERB
cana-2871	285	4	,	,	PUNCT
cana-2871	285	5	epidemiologically	epidemiologically	ADV
cana-2871	285	6	,	,	PUNCT
cana-2871	285	7	that	that	SCONJ
cana-2871	285	8	hiv	hiv	PROPN
cana-2871	285	9	phobia	phobia	NOUN
cana-2871	285	10	will	will	AUX
cana-2871	285	11	persist	persist	VERB
cana-2871	285	12	in	in	ADP
cana-2871	285	13	the	the	DET
cana-2871	285	14	human	human	ADJ
cana-2871	285	15	population	population	NOUN
cana-2871	285	16	for	for	ADP
cana-2871	285	17	a	a	DET
cana-2871	285	18	very	very	ADV
cana-2871	285	19	long	long	ADJ
cana-2871	285	20	time	time	NOUN
cana-2871	285	21	.	.	PUNCT
cana-2871	286	1	an	an	DET
cana-2871	286	2	explanation	explanation	NOUN
cana-2871	286	3	of	of	ADP
cana-2871	286	4	the	the	DET
cana-2871	286	5	model	model	NOUN
cana-2871	286	6	we	we	PRON
cana-2871	286	7	briefly	briefly	ADV
cana-2871	286	8	provide	provide	VERB
cana-2871	286	9	basic	basic	ADJ
cana-2871	286	10	property	property	NOUN
cana-2871	286	11	which	which	PRON
cana-2871	286	12	will	will	AUX
cana-2871	286	13	be	be	AUX
cana-2871	286	14	useful	useful	ADJ
cana-2871	286	15	in	in	ADP
cana-2871	286	16	the	the	DET
cana-2871	286	17	next	next	ADJ
cana-2871	286	18	theorem	theorem	NOUN
cana-2871	286	19	.	.	PUNCT
cana-2871	287	1	we	we	PRON
cana-2871	287	2	define	define	VERB
cana-2871	287	3	the	the	DET
cana-2871	287	4	banach	banach	NOUN
cana-2871	287	5	’s	’s	NOUN
cana-2871	287	6	space	space	NOUN
cana-2871	287	7	β	β	X
cana-2871	287	8	=	=	SYM
cana-2871	287	9	𝔹	𝔹	PROPN
cana-2871	287	10	=	=	SYM
cana-2871	287	11	𝔈	𝔈	NOUN
cana-2871	287	12	×	×	NOUN
cana-2871	287	13	𝔈	𝔈	PROPN
cana-2871	287	14	×	×	NOUN
cana-2871	287	15	𝔈	𝔈	PROPN
cana-2871	287	16	×	×	NOUN
cana-2871	287	17	…	…	SYM
cana-2871	287	18	×	×	NOUN
cana-2871	287	19	𝔈	𝔈	NOUN
cana-2871	287	20	and	and	CCONJ
cana-2871	287	21	𝔈	𝔈	PROPN
cana-2871	287	22	=	=	SYM
cana-2871	287	23	ℭ[0	ℭ[0	PROPN
cana-2871	287	24	,	,	PUNCT
cana-2871	287	25	𝒯	𝒯	PROPN
cana-2871	287	26	]	]	PUNCT
cana-2871	287	27	,	,	PUNCT
cana-2871	287	28	with	with	ADP
cana-2871	287	29	the	the	DET
cana-2871	287	30	norm	norm	NOUN
cana-2871	287	31	‖𝒲‖	‖𝒲‖	X
cana-2871	287	32	=	=	SYM
cana-2871	287	33	‖(𝓌1,𝓌2	‖(𝓌1,𝓌2	PROPN
cana-2871	287	34	,	,	PUNCT
cana-2871	287	35	…	…	PUNCT
cana-2871	287	36	,	,	PUNCT
cana-2871	287	37	𝓌n)‖	𝓌n)‖	PROPN
cana-2871	287	38	=	=	SYM
cana-2871	287	39	max	max	PROPN
cana-2871	287	40	𝔱∈[0,𝒯	𝔱∈[0,𝒯	PROPN
cana-2871	287	41	]	]	X
cana-2871	287	42	{	{	PUNCT
cana-2871	287	43	|𝓌1(𝔱)|	|𝓌1(𝔱)|	X
cana-2871	287	44	+	+	NUM
cana-2871	287	45	|𝓌2(𝔱)|	|𝓌2(𝔱)|	PUNCT
cana-2871	288	1	+	+	NUM
cana-2871	288	2	⋯+	⋯+	NOUN
cana-2871	288	3	|𝓌n(𝔱)|	|𝓌n(𝔱)|	NOUN
cana-2871	288	4	}	}	PUNCT
cana-2871	288	5	,	,	PUNCT
cana-2871	288	6	𝓌i	𝓌i	ADP
cana-2871	288	7	∈	∈	PROPN
cana-2871	288	8	ℭ[0	ℭ[0	PROPN
cana-2871	288	9	,	,	PUNCT
cana-2871	288	10	𝒯	𝒯	PROPN
cana-2871	288	11	]	]	PUNCT
cana-2871	288	12	for	for	ADP
cana-2871	288	13	i	i	PROPN
cana-2871	288	14	=	=	SYM
cana-2871	288	15	1,2	1,2	NUM
cana-2871	288	16	,	,	PUNCT
cana-2871	288	17	…	…	PUNCT
cana-2871	288	18	,	,	PUNCT
cana-2871	288	19	n.	n.	PROPN
cana-2871	288	20	theorem	theorem	VERB
cana-2871	288	21	5	5	NUM
cana-2871	288	22	.	.	X
cana-2871	289	1	for	for	ADP
cana-2871	289	2	each	each	DET
cana-2871	289	3	i	i	PRON
cana-2871	289	4	∈	∈	PROPN
cana-2871	289	5	{	{	PUNCT
cana-2871	289	6	i	i	NOUN
cana-2871	289	7	=	=	NOUN
cana-2871	289	8	1	1	NUM
cana-2871	289	9	,	,	PUNCT
cana-2871	289	10	…	…	PUNCT
cana-2871	289	11	,	,	PUNCT
cana-2871	289	12	5	5	NUM
cana-2871	289	13	}	}	PUNCT
cana-2871	289	14	,	,	PUNCT
cana-2871	289	15	the	the	DET
cana-2871	289	16	kernels	kernel	NOUN
cana-2871	289	17	𝔤i(i	𝔤i(i	NUM
cana-2871	289	18	=	=	SYM
cana-2871	289	19	1	1	NUM
cana-2871	289	20	,	,	PUNCT
cana-2871	289	21	…	…	PUNCT
cana-2871	289	22	,	,	PUNCT
cana-2871	289	23	5	5	X
cana-2871	289	24	)	)	PUNCT
cana-2871	289	25	are	be	AUX
cana-2871	289	26	𝔏i	𝔏i	ADJ
cana-2871	289	27	-	-	PUNCT
cana-2871	289	28	lipschitz	lipschitz	NOUN
cana-2871	289	29	continuous	continuous	ADJ
cana-2871	289	30	.	.	PUNCT
cana-2871	290	1	furthermore	furthermore	ADV
cana-2871	290	2	,	,	PUNCT
cana-2871	290	3	if	if	SCONJ
cana-2871	290	4	𝔏i	𝔏i	VERB
cana-2871	290	5	<	<	X
cana-2871	290	6	1	1	NUM
cana-2871	290	7	,	,	PUNCT
cana-2871	290	8	for	for	ADP
cana-2871	290	9	all	all	PRON
cana-2871	290	10	i	i	PRON
cana-2871	290	11	∈	∈	PROPN
cana-2871	290	12	{	{	PUNCT
cana-2871	290	13	i	i	NOUN
cana-2871	290	14	=	=	NOUN
cana-2871	290	15	1	1	NUM
cana-2871	290	16	,	,	PUNCT
cana-2871	290	17	…	…	PUNCT
cana-2871	290	18	,	,	PUNCT
cana-2871	290	19	5	5	NUM
cana-2871	290	20	}	}	PUNCT
cana-2871	290	21	,	,	PUNCT
cana-2871	290	22	then	then	ADV
cana-2871	290	23	the	the	DET
cana-2871	290	24	kernels	kernel	NOUN
cana-2871	290	25	define	define	VERB
cana-2871	290	26	a	a	DET
cana-2871	290	27	contraction	contraction	NOUN
cana-2871	290	28	in	in	ADP
cana-2871	290	29	ℭ[0	ℭ[0	PROPN
cana-2871	290	30	,	,	PUNCT
cana-2871	290	31	𝒯	𝒯	PROPN
cana-2871	290	32	]	]	PUNCT
cana-2871	290	33	.	.	PUNCT
cana-2871	291	1	proof	proof	NOUN
cana-2871	291	2	.	.	PUNCT
cana-2871	292	1	letϖ1,ϖ2,ϖ3,ϖ4,ϖ5	letϖ1,ϖ2,ϖ3,ϖ4,ϖ5	PROPN
cana-2871	292	2	,	,	PUNCT
cana-2871	292	3	υ	υ	PROPN
cana-2871	292	4	∈	∈	PROPN
cana-2871	292	5	ℭ[0	ℭ[0	PROPN
cana-2871	292	6	,	,	PUNCT
cana-2871	292	7	𝒯	𝒯	PROPN
cana-2871	292	8	]	]	PUNCT
cana-2871	292	9	,	,	PUNCT
cana-2871	292	10	and	and	CCONJ
cana-2871	292	11	consider	consider	VERB
cana-2871	292	12	‖ϖ1‖	‖ϖ1‖	NOUN
cana-2871	292	13	<	<	X
cana-2871	292	14	a	a	DET
cana-2871	292	15	,	,	PUNCT
cana-2871	292	16	‖ϖ2‖	‖ϖ2‖	NOUN
cana-2871	292	17	<	<	X
cana-2871	292	18	b	b	PROPN
cana-2871	292	19	,	,	PUNCT
cana-2871	292	20	‖ϖ3‖	‖ϖ3‖	PROPN
cana-2871	292	21	<	<	X
cana-2871	292	22	c	c	X
cana-2871	292	23	,	,	PUNCT
cana-2871	292	24	‖ϖ4‖	‖ϖ4‖	ADJ
cana-2871	292	25	<	<	X
cana-2871	292	26	d	d	PROPN
cana-2871	292	27	,	,	PUNCT
cana-2871	292	28	‖ϖ5‖	‖ϖ5‖	X
cana-2871	292	29	<	<	X
cana-2871	292	30	e	e	NOUN
cana-2871	292	31	,	,	PUNCT
cana-2871	292	32	‖υ‖	‖υ‖	PROPN
cana-2871	292	33	<	<	X
cana-2871	292	34	f.	f.	PROPN
cana-2871	292	35	let	let	VERB
cana-2871	292	36	hs	hs	PRON
cana-2871	292	37	and	and	CCONJ
cana-2871	292	38	hs∗be	hs∗be	PROPN
cana-2871	292	39	given	give	VERB
cana-2871	292	40	,	,	PUNCT
cana-2871	292	41	then	then	ADV
cana-2871	292	42	it	it	PRON
cana-2871	292	43	holds	hold	VERB
cana-2871	292	44	that	that	DET
cana-2871	292	45	‖𝔤1(𝔱,hs	‖𝔤1(𝔱,hs	NUM
cana-2871	292	46	)	)	PUNCT
cana-2871	293	1	−	−	NOUN
cana-2871	294	1	𝔤1(𝔱,hs∗)‖	𝔤1(𝔱,hs∗)‖	NOUN
cana-2871	295	1	=	=	PUNCT
cana-2871	296	1	‖ϖ−	‖ϖ−	PROPN
cana-2871	296	2	ϖ1(𝔱)hs(𝔱	ϖ1(𝔱)hs(𝔱	PROPN
cana-2871	296	3	)	)	PUNCT
cana-2871	297	1	−	−	ADP
cana-2871	297	2	υ(𝔱)hs(𝔱	υ(𝔱)hs(𝔱	NOUN
cana-2871	297	3	)	)	PUNCT
cana-2871	297	4	−	−	PUNCT
cana-2871	298	1	[	[	X
cana-2871	298	2	ϖ−	ϖ−	PROPN
cana-2871	298	3	ϖ1(𝔱)hs∗(𝔱	ϖ1(𝔱)hs∗(𝔱	NOUN
cana-2871	298	4	)	)	PUNCT
cana-2871	298	5	−	−	PROPN
cana-2871	298	6	υ(𝔱)hs∗(𝔱)]‖	υ(𝔱)hs∗(𝔱)]‖	NOUN
cana-2871	298	7	=	=	NOUN
cana-2871	298	8	‖[ϖ1(𝔱	‖[ϖ1(𝔱	PROPN
cana-2871	298	9	)	)	PUNCT
cana-2871	298	10	+	+	SYM
cana-2871	298	11	υ(𝔱)][hs∗(𝔱	υ(𝔱)][hs∗(𝔱	NOUN
cana-2871	298	12	)	)	PUNCT
cana-2871	299	1	−	−	PROPN
cana-2871	299	2	h	h	NOUN
cana-2871	299	3	s	s	X
cana-2871	299	4	(	(	PUNCT
cana-2871	299	5	𝔱)]‖	𝔱)]‖	PUNCT
cana-2871	299	6	≤	≤	PROPN
cana-2871	299	7	‖ϖ1(𝔱	‖ϖ1(𝔱	PROPN
cana-2871	299	8	)	)	PUNCT
cana-2871	299	9	+	+	NUM
cana-2871	299	10	υ(𝔱)‖‖hs∗(𝔱	υ(𝔱)‖‖hs∗(𝔱	X
cana-2871	299	11	)	)	PUNCT
cana-2871	299	12	−	−	PROPN
cana-2871	300	1	h	h	NOUN
cana-2871	300	2	s	s	PART
cana-2871	300	3	(	(	PUNCT
cana-2871	300	4	𝔱)‖	𝔱)‖	NOUN
cana-2871	300	5	communications	communication	NOUN
cana-2871	300	6	on	on	ADP
cana-2871	300	7	applied	apply	VERB
cana-2871	300	8	nonlinear	nonlinear	ADJ
cana-2871	300	9	analysis	analysis	NOUN
cana-2871	300	10	issn	issn	NOUN
cana-2871	300	11	:	:	PUNCT
cana-2871	300	12	1074	1074	NUM
cana-2871	300	13	-	-	PUNCT
cana-2871	300	14	133x	133x	NUM
cana-2871	300	15	vol	vol	NOUN
cana-2871	300	16	32	32	NUM
cana-2871	300	17	no	no	NOUN
cana-2871	300	18	.	.	PUNCT
cana-2871	301	1	4s	4s	NUM
cana-2871	301	2	(	(	PUNCT
cana-2871	301	3	2025	2025	NUM
cana-2871	301	4	)	)	PUNCT
cana-2871	301	5	564	564	NUM
cana-2871	301	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	301	7	≤	≤	PUNCT
cana-2871	302	1	[	[	X
cana-2871	302	2	𝔞	𝔞	X
cana-2871	302	3	+	+	NOUN
cana-2871	302	4	𝔣]‖hs∗	𝔣]‖hs∗	DET
cana-2871	302	5	−	−	PROPN
cana-2871	302	6	h	h	NOUN
cana-2871	302	7	s	s	VERB
cana-2871	302	8	‖	‖	PROPN
cana-2871	302	9	consequently	consequently	ADV
cana-2871	302	10	,	,	PUNCT
cana-2871	302	11	‖𝔤1(𝔱,hs	‖𝔤1(𝔱,hs	NUM
cana-2871	302	12	)	)	PUNCT
cana-2871	302	13	−	−	PROPN
cana-2871	302	14	𝔤1(𝔱,hs∗)‖	𝔤1(𝔱,hs∗)‖	PROPN
cana-2871	302	15	≤	≤	NOUN
cana-2871	302	16	𝔏1‖hs∗	𝔏1‖hs∗	PUNCT
cana-2871	303	1	−	−	PROPN
cana-2871	303	2	h	h	NOUN
cana-2871	303	3	s	s	VERB
cana-2871	303	4	‖	‖	PROPN
cana-2871	303	5	,	,	PUNCT
cana-2871	303	6	where𝔏1	where𝔏1	PROPN
cana-2871	304	1	=	=	PUNCT
cana-2871	304	2	𝔞	𝔞	PROPN
cana-2871	304	3	+	+	CCONJ
cana-2871	304	4	𝔣.	𝔣.	NOUN
cana-2871	304	5	for	for	ADP
cana-2871	304	6	𝔤1	𝔤1	PROPN
cana-2871	304	7	,	,	PUNCT
cana-2871	304	8	it	it	PRON
cana-2871	304	9	is	be	AUX
cana-2871	304	10	evident	evident	ADJ
cana-2871	304	11	that	that	SCONJ
cana-2871	304	12	the	the	DET
cana-2871	304	13	lipschitz	lipschitz	NOUN
cana-2871	304	14	condition	condition	NOUN
cana-2871	304	15	is	be	AUX
cana-2871	304	16	met	meet	VERB
cana-2871	304	17	.	.	PUNCT
cana-2871	305	1	additionally	additionally	ADV
cana-2871	305	2	,	,	PUNCT
cana-2871	305	3	𝔤1	𝔤1	PROPN
cana-2871	305	4	defined	define	VERB
cana-2871	305	5	a	a	DET
cana-2871	305	6	contraction	contraction	NOUN
cana-2871	305	7	if	if	SCONJ
cana-2871	305	8	0	0	NUM
cana-2871	305	9	≤	≤	NUM
cana-2871	305	10	𝔏1	𝔏1	NOUN
cana-2871	305	11	<	<	X
cana-2871	305	12	1	1	X
cana-2871	305	13	.	.	PUNCT
cana-2871	306	1	in	in	ADP
cana-2871	306	2	the	the	DET
cana-2871	306	3	same	same	ADJ
cana-2871	306	4	way	way	NOUN
cana-2871	306	5	,	,	PUNCT
cana-2871	306	6	we	we	PRON
cana-2871	306	7	can	can	AUX
cana-2871	306	8	demonstrate	demonstrate	VERB
cana-2871	306	9	that	that	SCONJ
cana-2871	306	10	𝔤2	𝔤2	VERB
cana-2871	306	11	,	,	PUNCT
cana-2871	306	12	𝔤3	𝔤3	NOUN
cana-2871	306	13	,	,	PUNCT
cana-2871	306	14	𝔤4	𝔤4	ADV
cana-2871	306	15	,	,	PUNCT
cana-2871	306	16	and	and	CCONJ
cana-2871	306	17	𝔤5	𝔤5	NOUN
cana-2871	306	18	have	have	VERB
cana-2871	306	19	the	the	DET
cana-2871	306	20	lipschitz	lipschitz	NOUN
cana-2871	306	21	and	and	CCONJ
cana-2871	306	22	contraction	contraction	NOUN
cana-2871	306	23	properties	property	NOUN
cana-2871	306	24	.	.	PUNCT
cana-2871	307	1	hence	hence	ADV
cana-2871	307	2	,	,	PUNCT
cana-2871	307	3	‖𝔤2(𝔱,hi	‖𝔤2(𝔱,hi	NUM
cana-2871	307	4	)	)	PUNCT
cana-2871	307	5	−	−	NOUN
cana-2871	307	6	𝔤2(𝔱,hi)‖	𝔤2(𝔱,hi)‖	NOUN
cana-2871	307	7	≤	≤	NUM
cana-2871	307	8	𝔏2‖hi	𝔏2‖hi	NUM
cana-2871	307	9	∗	∗	NOUN
cana-2871	307	10	−	−	NOUN
cana-2871	307	11	hi‖	hi‖	PROPN
cana-2871	307	12	‖𝔤3(𝔱,hc	‖𝔤3(𝔱,hc	NUM
cana-2871	307	13	)	)	PUNCT
cana-2871	308	1	−	−	NUM
cana-2871	308	2	𝔤3(𝔱,hc∗)‖	𝔤3(𝔱,hc∗)‖	PROPN
cana-2871	308	3	≤	≤	NOUN
cana-2871	308	4	𝔏3‖hc∗	𝔏3‖hc∗	PUNCT
cana-2871	309	1	−	−	PROPN
cana-2871	309	2	hc‖	hc‖	PROPN
cana-2871	309	3	‖𝔤4(𝔱,hn	‖𝔤4(𝔱,hn	NOUN
cana-2871	309	4	)	)	PUNCT
cana-2871	310	1	−	−	NUM
cana-2871	310	2	𝔤4(𝔱,hn∗)‖	𝔤4(𝔱,hn∗)‖	ADJ
cana-2871	310	3	≤	≤	PROPN
cana-2871	310	4	𝔏4‖hn∗	𝔏4‖hn∗	VERB
cana-2871	310	5	−	−	PROPN
cana-2871	310	6	hn‖	hn‖	PROPN
cana-2871	310	7	‖𝔤5(𝔱,ha	‖𝔤5(𝔱,ha	PROPN
cana-2871	310	8	)	)	PUNCT
cana-2871	310	9	−	−	NOUN
cana-2871	311	1	𝔤5(𝔱,ha∗)‖	𝔤5(𝔱,ha∗)‖	PROPN
cana-2871	311	2	≤	≤	NOUN
cana-2871	311	3	𝔏5‖ha∗	𝔏5‖ha∗	VERB
cana-2871	312	1	−	−	PROPN
cana-2871	312	2	ha‖	ha‖	PROPN
cana-2871	312	3	where	where	SCONJ
cana-2871	312	4	𝔏2	𝔏2	NOUN
cana-2871	312	5	=	=	PRON
cana-2871	312	6	𝔟	𝔟	PROPN
cana-2871	313	1	+	+	NOUN
cana-2871	313	2	𝔠	𝔠	X
cana-2871	313	3	+	+	NUM
cana-2871	313	4	𝔣	𝔣	ADJ
cana-2871	313	5	,	,	PUNCT
cana-2871	313	6	𝔏3	𝔏3	NOUN
cana-2871	313	7	=	=	PUNCT
cana-2871	313	8	𝔡	𝔡	NOUN
cana-2871	313	9	+	+	SYM
cana-2871	313	10	𝔣	𝔣	ADJ
cana-2871	313	11	,	,	PUNCT
cana-2871	313	12	𝔏4	𝔏4	NOUN
cana-2871	313	13	=	=	SYM
cana-2871	313	14	𝔢	𝔢	PROPN
cana-2871	314	1	+	+	CCONJ
cana-2871	314	2	𝔣	𝔣	ADJ
cana-2871	314	3	,	,	PUNCT
cana-2871	314	4	𝔏5	𝔏5	PROPN
cana-2871	314	5	=	=	SYM
cana-2871	315	1	𝔣	𝔣	PROPN
cana-2871	315	2	+	+	CCONJ
cana-2871	315	3	a	a	DET
cana-2871	315	4	11	11	NUM
cana-2871	315	5	.	.	PUNCT
cana-2871	315	6	simulation	simulation	NOUN
cana-2871	315	7	of	of	ADP
cana-2871	315	8	numerical	numerical	PROPN
cana-2871	315	9	to	to	PART
cana-2871	315	10	solve	solve	VERB
cana-2871	315	11	the	the	DET
cana-2871	315	12	model	model	NOUN
cana-2871	315	13	equations	equation	NOUN
cana-2871	315	14	using	use	VERB
cana-2871	315	15	numerical	numerical	ADJ
cana-2871	315	16	methods	method	NOUN
cana-2871	315	17	,	,	PUNCT
cana-2871	315	18	we	we	PRON
cana-2871	315	19	utilized	utilize	VERB
cana-2871	315	20	the	the	DET
cana-2871	315	21	matlab	matlab	PROPN
cana-2871	315	22	ode	ode	PROPN
cana-2871	315	23	algorithm	algorithm	NOUN
cana-2871	315	24	for	for	ADP
cana-2871	315	25	the	the	DET
cana-2871	315	26	constructed	construct	VERB
cana-2871	315	27	model	model	NOUN
cana-2871	315	28	.	.	PUNCT
cana-2871	316	1	we	we	PRON
cana-2871	316	2	generated	generate	VERB
cana-2871	316	3	graphs	graph	NOUN
cana-2871	316	4	depicting	depict	VERB
cana-2871	316	5	each	each	DET
cana-2871	316	6	compartment	compartment	NOUN
cana-2871	316	7	of	of	ADP
cana-2871	316	8	the	the	DET
cana-2871	316	9	model	model	NOUN
cana-2871	316	10	as	as	ADP
cana-2871	316	11	a	a	DET
cana-2871	316	12	function	function	NOUN
cana-2871	316	13	of	of	ADP
cana-2871	316	14	time	time	NOUN
cana-2871	316	15	,	,	PUNCT
cana-2871	316	16	where	where	SCONJ
cana-2871	316	17	the	the	DET
cana-2871	316	18	time	time	NOUN
cana-2871	316	19	interval	interval	NOUN
cana-2871	316	20	extended	extend	VERB
cana-2871	316	21	from	from	ADP
cana-2871	316	22	0	0	NUM
cana-2871	316	23	to	to	PART
cana-2871	316	24	365	365	NUM
cana-2871	316	25	days	day	NOUN
cana-2871	316	26	.	.	PUNCT
cana-2871	317	1	now	now	ADV
cana-2871	317	2	we	we	PRON
cana-2871	317	3	need	need	VERB
cana-2871	317	4	to	to	PART
cana-2871	317	5	investigate	investigate	VERB
cana-2871	317	6	the	the	DET
cana-2871	317	7	significance	significance	NOUN
cana-2871	317	8	of	of	ADP
cana-2871	317	9	each	each	DET
cana-2871	317	10	model	model	NOUN
cana-2871	317	11	parameter	parameter	NOUN
cana-2871	317	12	of	of	ADP
cana-2871	317	13	the	the	DET
cana-2871	317	14	disease	disease	NOUN
cana-2871	317	15	phobia	phobia	NOUN
cana-2871	317	16	.	.	PUNCT
cana-2871	318	1	these	these	DET
cana-2871	318	2	analyses	analysis	NOUN
cana-2871	318	3	help	help	VERB
cana-2871	318	4	us	we	PRON
cana-2871	318	5	identify	identify	VERB
cana-2871	318	6	which	which	PRON
cana-2871	318	7	parameters	parameter	NOUN
cana-2871	318	8	have	have	VERB
cana-2871	318	9	the	the	DET
cana-2871	318	10	greatest	great	ADJ
cana-2871	318	11	influence	influence	NOUN
cana-2871	318	12	on	on	ADP
cana-2871	318	13	the	the	DET
cana-2871	318	14	phobia	phobia	NOUN
cana-2871	318	15	of	of	ADP
cana-2871	318	16	the	the	DET
cana-2871	318	17	hiv	hiv	PROPN
cana-2871	318	18	/	/	SYM
cana-2871	318	19	aids	aids	PROPN
cana-2871	318	20	disease	disease	NOUN
cana-2871	318	21	.	.	PUNCT
cana-2871	319	1	by	by	ADP
cana-2871	319	2	pinpointing	pinpoint	VERB
cana-2871	319	3	the	the	DET
cana-2871	319	4	most	most	ADV
cana-2871	319	5	sensitive	sensitive	ADJ
cana-2871	319	6	parameters	parameter	NOUN
cana-2871	319	7	those	those	PRON
cana-2871	319	8	with	with	ADP
cana-2871	319	9	higher	high	ADJ
cana-2871	319	10	sensitivity	sensitivity	NOUN
cana-2871	319	11	indices	index	NOUN
cana-2871	319	12	we	we	PRON
cana-2871	319	13	gain	gain	VERB
cana-2871	319	14	valuable	valuable	ADJ
cana-2871	319	15	insights	insight	NOUN
cana-2871	319	16	into	into	ADP
cana-2871	319	17	which	which	PRON
cana-2871	319	18	factors	factor	NOUN
cana-2871	319	19	play	play	VERB
cana-2871	319	20	the	the	DET
cana-2871	319	21	most	most	ADV
cana-2871	319	22	significant	significant	ADJ
cana-2871	319	23	role	role	NOUN
cana-2871	319	24	in	in	ADP
cana-2871	319	25	driving	drive	VERB
cana-2871	319	26	the	the	DET
cana-2871	319	27	phobia	phobia	NOUN
cana-2871	319	28	of	of	ADP
cana-2871	319	29	the	the	DET
cana-2871	319	30	disease	disease	NOUN
cana-2871	319	31	.	.	PUNCT
cana-2871	320	1	specifically	specifically	ADV
cana-2871	320	2	,	,	PUNCT
cana-2871	320	3	our	our	PRON
cana-2871	320	4	sensitivity	sensitivity	NOUN
cana-2871	320	5	analyses	analysis	NOUN
cana-2871	320	6	focused	focus	VERB
cana-2871	320	7	on	on	ADP
cana-2871	320	8	parameters	parameter	NOUN
cana-2871	320	9	ϖ	ϖ	X
cana-2871	320	10	=	=	SYM
cana-2871	320	11	0.4	0.4	NUM
cana-2871	320	12	,	,	PUNCT
cana-2871	320	13	ϖ1	ϖ1	PROPN
cana-2871	320	14	=	=	SYM
cana-2871	320	15	0.65	0.65	NUM
cana-2871	320	16	,	,	PUNCT
cana-2871	320	17	ϖ2	ϖ2	NOUN
cana-2871	320	18	=	=	NOUN
cana-2871	320	19	0.2	0.2	NUM
cana-2871	320	20	,	,	PUNCT
cana-2871	320	21	ϖ3	ϖ3	NOUN
cana-2871	320	22	=	=	PUNCT
cana-2871	320	23	0.58	0.58	NUM
cana-2871	320	24	,	,	PUNCT
cana-2871	320	25	ϖ4	ϖ4	PROPN
cana-2871	320	26	=	=	SYM
cana-2871	320	27	0.03	0.03	NUM
cana-2871	320	28	,	,	PUNCT
cana-2871	320	29	ϖ5	ϖ5	NOUN
cana-2871	320	30	=	=	SYM
cana-2871	320	31	0.4	0.4	NUM
cana-2871	320	32	,	,	PUNCT
cana-2871	320	33	υ	υ	PROPN
cana-2871	320	34	=	=	NOUN
cana-2871	320	35	0.4	0.4	NUM
cana-2871	320	36	,	,	PUNCT
cana-2871	321	1	a	a	DET
cana-2871	321	2	=	=	NOUN
cana-2871	321	3	0.005	0.005	NUM
cana-2871	321	4	.	.	PUNCT
cana-2871	321	5	fig	fig	NOUN
cana-2871	321	6	.	.	PUNCT
cana-2871	322	1	(	(	PUNCT
cana-2871	322	2	2	2	NUM
cana-2871	322	3	):	):	PUNCT
cana-2871	322	4	time	time	NOUN
cana-2871	322	5	series	series	NOUN
cana-2871	322	6	of	of	ADP
cana-2871	322	7	population	population	NOUN
cana-2871	322	8	dynamics	dynamic	NOUN
cana-2871	322	9	of	of	ADP
cana-2871	322	10	all	all	DET
cana-2871	322	11	stages	stage	NOUN
cana-2871	322	12	the	the	DET
cana-2871	322	13	parameters	parameter	NOUN
cana-2871	322	14	values	value	NOUN
cana-2871	322	15	of	of	ADP
cana-2871	322	16	fig	fig	NOUN
cana-2871	322	17	.	.	PUNCT
cana-2871	323	1	(	(	PUNCT
cana-2871	323	2	3	3	X
cana-2871	323	3	)	)	PUNCT
cana-2871	323	4	as	as	SCONJ
cana-2871	323	5	follows	follow	VERB
cana-2871	323	6	:	:	PUNCT
cana-2871	323	7	ϖ	ϖ	NOUN
cana-2871	323	8	=	=	SYM
cana-2871	323	9	20	20	NUM
cana-2871	323	10	,	,	PUNCT
cana-2871	323	11	ϖ1	ϖ1	PROPN
cana-2871	323	12	=	=	SYM
cana-2871	323	13	0.65	0.65	NUM
cana-2871	323	14	,	,	PUNCT
cana-2871	323	15	ϖ2	ϖ2	NOUN
cana-2871	323	16	=	=	NOUN
cana-2871	323	17	0.2	0.2	NUM
cana-2871	323	18	,	,	PUNCT
cana-2871	323	19	ϖ3	ϖ3	NOUN
cana-2871	323	20	=	=	PUNCT
cana-2871	323	21	0.58	0.58	NUM
cana-2871	323	22	,	,	PUNCT
cana-2871	323	23	ϖ4	ϖ4	PROPN
cana-2871	323	24	=	=	SYM
cana-2871	323	25	0.03	0.03	NUM
cana-2871	323	26	,	,	PUNCT
cana-2871	323	27	ϖ5	ϖ5	NOUN
cana-2871	323	28	=	=	SYM
cana-2871	323	29	0.4	0.4	NUM
cana-2871	323	30	,	,	PUNCT
cana-2871	323	31	υ	υ	PROPN
cana-2871	324	1	=	=	NOUN
cana-2871	324	2	0.4	0.4	NUM
cana-2871	324	3	,	,	PUNCT
cana-2871	324	4	a	a	DET
cana-2871	324	5	=	=	NOUN
cana-2871	324	6	0.005	0.005	NUM
cana-2871	324	7	.	.	PUNCT
cana-2871	325	1	communications	communication	NOUN
cana-2871	325	2	on	on	ADP
cana-2871	325	3	applied	apply	VERB
cana-2871	325	4	nonlinear	nonlinear	ADJ
cana-2871	325	5	analysis	analysis	NOUN
cana-2871	325	6	issn	issn	NOUN
cana-2871	325	7	:	:	PUNCT
cana-2871	325	8	1074	1074	NUM
cana-2871	325	9	-	-	PUNCT
cana-2871	325	10	133x	133x	NUM
cana-2871	325	11	vol	vol	NOUN
cana-2871	325	12	32	32	NUM
cana-2871	325	13	no	no	NOUN
cana-2871	325	14	.	.	PUNCT
cana-2871	326	1	4s	4s	NUM
cana-2871	326	2	(	(	PUNCT
cana-2871	326	3	2025	2025	NUM
cana-2871	326	4	)	)	PUNCT
cana-2871	326	5	565	565	NUM
cana-2871	326	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	326	7	fig	fig	NOUN
cana-2871	326	8	.	.	PUNCT
cana-2871	327	1	(	(	PUNCT
cana-2871	327	2	3	3	NUM
cana-2871	327	3	):	):	PUNCT
cana-2871	327	4	time	time	NOUN
cana-2871	327	5	series	series	NOUN
cana-2871	327	6	of	of	ADP
cana-2871	327	7	population	population	NOUN
cana-2871	327	8	dynamics	dynamic	NOUN
cana-2871	327	9	in	in	ADP
cana-2871	327	10	the	the	DET
cana-2871	327	11	stages	stage	NOUN
cana-2871	327	12	of	of	ADP
cana-2871	327	13	hs	hs	PROPN
cana-2871	327	14	,	,	PUNCT
cana-2871	327	15	hi	hi	INTJ
cana-2871	327	16	,	,	PUNCT
cana-2871	327	17	hc	hc	PROPN
cana-2871	327	18	,	,	PUNCT
cana-2871	327	19	hn	hn	PROPN
cana-2871	327	20	,	,	PUNCT
cana-2871	327	21	ha	ha	INTJ
cana-2871	327	22	the	the	DET
cana-2871	327	23	parameters	parameter	NOUN
cana-2871	327	24	values	value	NOUN
cana-2871	327	25	of	of	ADP
cana-2871	327	26	fig	fig	NOUN
cana-2871	327	27	.	.	PUNCT
cana-2871	328	1	(	(	PUNCT
cana-2871	328	2	4	4	NUM
cana-2871	328	3	)	)	PUNCT
cana-2871	328	4	as	as	SCONJ
cana-2871	328	5	follows	follow	VERB
cana-2871	328	6	:	:	PUNCT
cana-2871	328	7	ϖ	ϖ	NOUN
cana-2871	328	8	=	=	SYM
cana-2871	328	9	100	100	NUM
cana-2871	328	10	,	,	PUNCT
cana-2871	328	11	ϖ1	ϖ1	PROPN
cana-2871	328	12	=	=	SYM
cana-2871	328	13	0.65	0.65	NUM
cana-2871	328	14	,	,	PUNCT
cana-2871	328	15	ϖ2	ϖ2	NOUN
cana-2871	328	16	=	=	NOUN
cana-2871	328	17	0.2	0.2	NUM
cana-2871	328	18	,	,	PUNCT
cana-2871	328	19	ϖ3	ϖ3	NOUN
cana-2871	328	20	=	=	PUNCT
cana-2871	328	21	0.58	0.58	NUM
cana-2871	328	22	,	,	PUNCT
cana-2871	328	23	ϖ4	ϖ4	PROPN
cana-2871	328	24	=	=	SYM
cana-2871	328	25	0.03	0.03	NUM
cana-2871	328	26	,	,	PUNCT
cana-2871	328	27	ϖ5	ϖ5	NOUN
cana-2871	328	28	=	=	SYM
cana-2871	328	29	0.4	0.4	NUM
cana-2871	328	30	,	,	PUNCT
cana-2871	328	31	υ	υ	PROPN
cana-2871	329	1	=	=	NOUN
cana-2871	329	2	0.4	0.4	NUM
cana-2871	329	3	,	,	PUNCT
cana-2871	329	4	a	a	DET
cana-2871	329	5	=	=	NOUN
cana-2871	329	6	0.005	0.005	NUM
cana-2871	329	7	.	.	PUNCT
cana-2871	329	8	fig	fig	NOUN
cana-2871	329	9	.	.	PUNCT
cana-2871	330	1	(	(	PUNCT
cana-2871	330	2	4	4	NUM
cana-2871	330	3	):	):	PUNCT
cana-2871	330	4	time	time	NOUN
cana-2871	330	5	series	series	NOUN
cana-2871	330	6	of	of	ADP
cana-2871	330	7	population	population	NOUN
cana-2871	330	8	dynamics	dynamic	VERB
cana-2871	330	9	the	the	DET
cana-2871	330	10	parameters	parameter	NOUN
cana-2871	330	11	values	value	NOUN
cana-2871	330	12	of	of	ADP
cana-2871	330	13	fig	fig	NOUN
cana-2871	330	14	.	.	PUNCT
cana-2871	331	1	(	(	PUNCT
cana-2871	331	2	5	5	NUM
cana-2871	331	3	)	)	PUNCT
cana-2871	331	4	as	as	SCONJ
cana-2871	331	5	follows	follow	VERB
cana-2871	331	6	:	:	PUNCT
cana-2871	331	7	ϖ	ϖ	X
cana-2871	331	8	=	=	SYM
cana-2871	331	9	1000	1000	NUM
cana-2871	331	10	,	,	PUNCT
cana-2871	331	11	ϖ1	ϖ1	PROPN
cana-2871	331	12	=	=	SYM
cana-2871	331	13	0.65	0.65	NUM
cana-2871	331	14	,	,	PUNCT
cana-2871	331	15	ϖ2	ϖ2	NOUN
cana-2871	331	16	=	=	NOUN
cana-2871	331	17	0.2	0.2	NUM
cana-2871	331	18	,	,	PUNCT
cana-2871	331	19	ϖ3	ϖ3	NOUN
cana-2871	331	20	=	=	PUNCT
cana-2871	331	21	0.58	0.58	NUM
cana-2871	331	22	,	,	PUNCT
cana-2871	331	23	ϖ4	ϖ4	PROPN
cana-2871	331	24	=	=	SYM
cana-2871	331	25	0.03	0.03	NUM
cana-2871	331	26	,	,	PUNCT
cana-2871	331	27	ϖ5	ϖ5	NOUN
cana-2871	331	28	=	=	SYM
cana-2871	331	29	0.4	0.4	NUM
cana-2871	331	30	,	,	PUNCT
cana-2871	331	31	υ	υ	PROPN
cana-2871	332	1	=	=	NOUN
cana-2871	332	2	0.4	0.4	NUM
cana-2871	332	3	,	,	PUNCT
cana-2871	332	4	a	a	DET
cana-2871	332	5	=	=	NOUN
cana-2871	332	6	0.005	0.005	NUM
cana-2871	332	7	.	.	PUNCT
cana-2871	332	8	fig	fig	NOUN
cana-2871	332	9	.	.	PUNCT
cana-2871	333	1	(	(	PUNCT
cana-2871	333	2	5	5	NUM
cana-2871	333	3	):	):	PUNCT
cana-2871	333	4	time	time	NOUN
cana-2871	333	5	series	series	NOUN
cana-2871	333	6	of	of	ADP
cana-2871	333	7	population	population	NOUN
cana-2871	333	8	dynamics	dynamic	VERB
cana-2871	333	9	the	the	DET
cana-2871	333	10	parameters	parameter	NOUN
cana-2871	333	11	values	value	NOUN
cana-2871	333	12	of	of	ADP
cana-2871	333	13	fig	fig	NOUN
cana-2871	333	14	.	.	PUNCT
cana-2871	334	1	(	(	PUNCT
cana-2871	334	2	6a	6a	NOUN
cana-2871	334	3	)	)	PUNCT
cana-2871	334	4	and	and	CCONJ
cana-2871	334	5	fig	fig	NOUN
cana-2871	334	6	.	.	PUNCT
cana-2871	335	1	(	(	PUNCT
cana-2871	335	2	6b	6b	NOUN
cana-2871	335	3	)	)	PUNCT
cana-2871	335	4	as	as	SCONJ
cana-2871	335	5	follows	follow	VERB
cana-2871	335	6	:	:	PUNCT
cana-2871	335	7	ϖ	ϖ	NOUN
cana-2871	335	8	=	=	SYM
cana-2871	335	9	0.5	0.5	NUM
cana-2871	335	10	,	,	PUNCT
cana-2871	335	11	ϖ1	ϖ1	PROPN
cana-2871	335	12	=	=	SYM
cana-2871	335	13	0.65	0.65	NUM
cana-2871	335	14	,	,	PUNCT
cana-2871	335	15	ϖ2	ϖ2	NOUN
cana-2871	335	16	=	=	NOUN
cana-2871	335	17	0.2	0.2	NUM
cana-2871	335	18	,	,	PUNCT
cana-2871	335	19	ϖ3	ϖ3	NOUN
cana-2871	335	20	=	=	PUNCT
cana-2871	335	21	0.58	0.58	NUM
cana-2871	335	22	,	,	PUNCT
cana-2871	335	23	ϖ4	ϖ4	PROPN
cana-2871	335	24	=	=	SYM
cana-2871	335	25	0.03	0.03	NUM
cana-2871	335	26	,	,	PUNCT
cana-2871	335	27	ϖ5	ϖ5	NOUN
cana-2871	335	28	=	=	SYM
cana-2871	335	29	0.4	0.4	NUM
cana-2871	335	30	,	,	PUNCT
cana-2871	335	31	υ	υ	PROPN
cana-2871	336	1	=	=	NOUN
cana-2871	336	2	0.4	0.4	NUM
cana-2871	336	3	,	,	PUNCT
cana-2871	336	4	a	a	DET
cana-2871	336	5	=	=	NOUN
cana-2871	336	6	0.005	0.005	NUM
cana-2871	336	7	.	.	PUNCT
cana-2871	337	1	communications	communication	NOUN
cana-2871	337	2	on	on	ADP
cana-2871	337	3	applied	apply	VERB
cana-2871	337	4	nonlinear	nonlinear	ADJ
cana-2871	337	5	analysis	analysis	NOUN
cana-2871	337	6	issn	issn	NOUN
cana-2871	337	7	:	:	PUNCT
cana-2871	337	8	1074	1074	NUM
cana-2871	337	9	-	-	PUNCT
cana-2871	337	10	133x	133x	NUM
cana-2871	337	11	vol	vol	NOUN
cana-2871	337	12	32	32	NUM
cana-2871	337	13	no	no	NOUN
cana-2871	337	14	.	.	PUNCT
cana-2871	338	1	4s	4s	NUM
cana-2871	338	2	(	(	PUNCT
cana-2871	338	3	2025	2025	NUM
cana-2871	338	4	)	)	PUNCT
cana-2871	338	5	566	566	NUM
cana-2871	338	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	338	7	fig	fig	NOUN
cana-2871	338	8	.	.	PUNCT
cana-2871	339	1	(	(	PUNCT
cana-2871	339	2	6a	6a	NOUN
cana-2871	339	3	):	):	PUNCT
cana-2871	339	4	comparison	comparison	NOUN
cana-2871	339	5	of	of	ADP
cana-2871	339	6	the	the	DET
cana-2871	339	7	stages	stage	NOUN
cana-2871	339	8	hs	hs	INTJ
cana-2871	339	9	vs	vs	ADP
cana-2871	339	10	hn	hn	PROPN
cana-2871	339	11	vs	vs	ADP
cana-2871	339	12	ha	ha	INTJ
cana-2871	339	13	of	of	ADP
cana-2871	339	14	3d	3d	NUM
cana-2871	339	15	plot	plot	NOUN
cana-2871	339	16	of	of	ADP
cana-2871	339	17	population	population	NOUN
cana-2871	339	18	dynamics	dynamic	NOUN
cana-2871	339	19	fig	fig	NOUN
cana-2871	339	20	.	.	PUNCT
cana-2871	340	1	(	(	PUNCT
cana-2871	340	2	6b	6b	NOUN
cana-2871	340	3	):	):	PUNCT
cana-2871	340	4	comparison	comparison	NOUN
cana-2871	340	5	of	of	ADP
cana-2871	340	6	the	the	DET
cana-2871	340	7	stages	stage	NOUN
cana-2871	340	8	hs	hs	INTJ
cana-2871	340	9	vs	vs	ADP
cana-2871	340	10	hn	hn	PROPN
cana-2871	340	11	vs	vs	ADP
cana-2871	340	12	ha	ha	INTJ
cana-2871	340	13	the	the	DET
cana-2871	340	14	parameters	parameter	NOUN
cana-2871	340	15	values	value	NOUN
cana-2871	340	16	of	of	ADP
cana-2871	340	17	fig	fig	NOUN
cana-2871	340	18	.	.	PUNCT
cana-2871	341	1	(	(	PUNCT
cana-2871	341	2	7	7	X
cana-2871	341	3	)	)	PUNCT
cana-2871	341	4	as	as	SCONJ
cana-2871	341	5	follows	follow	VERB
cana-2871	341	6	:	:	PUNCT
cana-2871	341	7	ϖ	ϖ	NOUN
cana-2871	341	8	=	=	SYM
cana-2871	341	9	0.5	0.5	NUM
cana-2871	341	10	,	,	PUNCT
cana-2871	341	11	ϖ1	ϖ1	PROPN
cana-2871	341	12	=	=	SYM
cana-2871	341	13	0.65	0.65	NUM
cana-2871	341	14	,	,	PUNCT
cana-2871	341	15	ϖ2	ϖ2	NOUN
cana-2871	341	16	=	=	NOUN
cana-2871	341	17	0.2	0.2	NUM
cana-2871	341	18	,	,	PUNCT
cana-2871	341	19	ϖ3	ϖ3	NOUN
cana-2871	341	20	=	=	PUNCT
cana-2871	341	21	0.58	0.58	NUM
cana-2871	341	22	,	,	PUNCT
cana-2871	341	23	ϖ4	ϖ4	PROPN
cana-2871	341	24	=	=	SYM
cana-2871	341	25	0.03	0.03	NUM
cana-2871	341	26	,	,	PUNCT
cana-2871	341	27	ϖ5	ϖ5	NOUN
cana-2871	341	28	=	=	SYM
cana-2871	341	29	0.4	0.4	NUM
cana-2871	341	30	,	,	PUNCT
cana-2871	341	31	υ	υ	PROPN
cana-2871	341	32	=	=	NOUN
cana-2871	341	33	0.4	0.4	NUM
cana-2871	341	34	,	,	PUNCT
cana-2871	342	1	a	a	DET
cana-2871	342	2	=	=	NOUN
cana-2871	342	3	0.005	0.005	NUM
cana-2871	342	4	.	.	PUNCT
cana-2871	342	5	fig	fig	NOUN
cana-2871	342	6	.	.	PUNCT
cana-2871	343	1	(	(	PUNCT
cana-2871	343	2	7	7	NUM
cana-2871	343	3	):	):	PUNCT
cana-2871	343	4	hiv	hiv	PROPN
cana-2871	343	5	model	model	PROPN
cana-2871	343	6	compartment	compartment	PROPN
cana-2871	343	7	index	index	NOUN
cana-2871	343	8	.	.	PUNCT
cana-2871	344	1	the	the	DET
cana-2871	344	2	reason	reason	NOUN
cana-2871	344	3	for	for	ADP
cana-2871	344	4	this	this	PRON
cana-2871	344	5	is	be	AUX
cana-2871	344	6	that	that	SCONJ
cana-2871	344	7	while	while	SCONJ
cana-2871	344	8	there	there	PRON
cana-2871	344	9	is	be	VERB
cana-2871	344	10	no	no	DET
cana-2871	344	11	cure	cure	NOUN
cana-2871	344	12	for	for	ADP
cana-2871	344	13	hiv	hiv	PROPN
cana-2871	344	14	infection	infection	NOUN
cana-2871	344	15	,	,	PUNCT
cana-2871	344	16	it	it	PRON
cana-2871	344	17	can	can	AUX
cana-2871	344	18	be	be	AUX
cana-2871	344	19	effectively	effectively	ADV
cana-2871	344	20	managed	manage	VERB
cana-2871	344	21	.	.	PUNCT
cana-2871	345	1	the	the	DET
cana-2871	345	2	graphs	graph	NOUN
cana-2871	345	3	indicate	indicate	VERB
cana-2871	345	4	that	that	SCONJ
cana-2871	345	5	the	the	DET
cana-2871	345	6	prevalence	prevalence	NOUN
cana-2871	345	7	of	of	ADP
cana-2871	345	8	hiv	hiv	PROPN
cana-2871	345	9	phobia	phobia	NOUN
cana-2871	345	10	decreases	decrease	VERB
cana-2871	345	11	as	as	SCONJ
cana-2871	345	12	the	the	DET
cana-2871	345	13	percentage	percentage	NOUN
cana-2871	345	14	of	of	ADP
cana-2871	345	15	communications	communication	NOUN
cana-2871	345	16	on	on	ADP
cana-2871	345	17	applied	apply	VERB
cana-2871	345	18	nonlinear	nonlinear	ADJ
cana-2871	345	19	analysis	analysis	NOUN
cana-2871	345	20	issn	issn	NOUN
cana-2871	345	21	:	:	PUNCT
cana-2871	345	22	1074	1074	NUM
cana-2871	345	23	-	-	PUNCT
cana-2871	345	24	133x	133x	NUM
cana-2871	345	25	vol	vol	NOUN
cana-2871	345	26	32	32	NUM
cana-2871	345	27	no	no	NOUN
cana-2871	345	28	.	.	PUNCT
cana-2871	346	1	4s	4s	NUM
cana-2871	346	2	(	(	PUNCT
cana-2871	346	3	2025	2025	NUM
cana-2871	346	4	)	)	PUNCT
cana-2871	346	5	567	567	NUM
cana-2871	346	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	346	7	diagnosed	diagnose	VERB
cana-2871	346	8	individuals	individual	NOUN
cana-2871	346	9	who	who	PRON
cana-2871	346	10	are	be	AUX
cana-2871	346	11	treated	treat	VERB
cana-2871	346	12	rises	rise	NOUN
cana-2871	346	13	.	.	PUNCT
cana-2871	347	1	from	from	ADP
cana-2871	347	2	a	a	DET
cana-2871	347	3	biological	biological	ADJ
cana-2871	347	4	perspective	perspective	NOUN
cana-2871	347	5	,	,	PUNCT
cana-2871	347	6	this	this	PRON
cana-2871	347	7	implies	imply	VERB
cana-2871	347	8	that	that	SCONJ
cana-2871	347	9	the	the	DET
cana-2871	347	10	hiv	hiv	PROPN
cana-2871	347	11	/	/	SYM
cana-2871	347	12	aids	aids	PROPN
cana-2871	347	13	phobia	phobia	NOUN
cana-2871	347	14	spreads	spread	VERB
cana-2871	347	15	evenly	evenly	ADV
cana-2871	347	16	throughout	throughout	ADP
cana-2871	347	17	the	the	DET
cana-2871	347	18	community	community	NOUN
cana-2871	347	19	.	.	PUNCT
cana-2871	348	1	12	12	NUM
cana-2871	348	2	.	.	PUNCT
cana-2871	349	1	conclusion	conclusion	NOUN
cana-2871	349	2	hiv	hiv	PROPN
cana-2871	349	3	phobia	phobia	PROPN
cana-2871	349	4	can	can	AUX
cana-2871	349	5	be	be	AUX
cana-2871	349	6	diagnosed	diagnose	VERB
cana-2871	349	7	by	by	ADP
cana-2871	349	8	a	a	DET
cana-2871	349	9	mental	mental	ADJ
cana-2871	349	10	health	health	NOUN
cana-2871	349	11	professional	professional	NOUN
cana-2871	349	12	,	,	PUNCT
cana-2871	349	13	and	and	CCONJ
cana-2871	349	14	standard	standard	ADJ
cana-2871	349	15	treatment	treatment	NOUN
cana-2871	349	16	entails	entail	VERB
cana-2871	349	17	therapy	therapy	NOUN
cana-2871	349	18	in	in	ADP
cana-2871	349	19	the	the	DET
cana-2871	349	20	form	form	NOUN
cana-2871	349	21	of	of	ADP
cana-2871	349	22	exposure	exposure	NOUN
cana-2871	349	23	therapy	therapy	NOUN
cana-2871	349	24	or	or	CCONJ
cana-2871	349	25	cognitive	cognitive	ADJ
cana-2871	349	26	behavioural	behavioural	ADJ
cana-2871	349	27	therapy	therapy	NOUN
cana-2871	349	28	(	(	PUNCT
cana-2871	349	29	cbt	cbt	NOUN
cana-2871	349	30	)	)	PUNCT
cana-2871	349	31	.	.	PUNCT
cana-2871	350	1	dealing	deal	VERB
cana-2871	350	2	with	with	ADP
cana-2871	350	3	hiv	hiv	PROPN
cana-2871	350	4	phobia	phobia	NOUN
cana-2871	350	5	can	can	AUX
cana-2871	350	6	also	also	ADV
cana-2871	350	7	be	be	AUX
cana-2871	350	8	accomplished	accomplish	VERB
cana-2871	350	9	through	through	ADP
cana-2871	350	10	therapeutic	therapeutic	ADJ
cana-2871	350	11	and	and	CCONJ
cana-2871	350	12	care	care	NOUN
cana-2871	350	13	interventions	intervention	NOUN
cana-2871	350	14	,	,	PUNCT
cana-2871	350	15	such	such	ADJ
cana-2871	350	16	as	as	ADP
cana-2871	350	17	stress	stress	NOUN
cana-2871	350	18	management	management	NOUN
cana-2871	350	19	training	training	NOUN
cana-2871	350	20	sessions	session	NOUN
cana-2871	350	21	.	.	PUNCT
cana-2871	351	1	these	these	DET
cana-2871	351	2	therapies	therapy	NOUN
cana-2871	351	3	can	can	AUX
cana-2871	351	4	enhance	enhance	VERB
cana-2871	351	5	one	one	NUM
cana-2871	351	6	's	's	PART
cana-2871	351	7	quality	quality	NOUN
cana-2871	351	8	of	of	ADP
cana-2871	351	9	life	life	NOUN
cana-2871	351	10	and	and	CCONJ
cana-2871	351	11	mental	mental	ADJ
cana-2871	351	12	health	health	NOUN
cana-2871	351	13	.	.	PUNCT
cana-2871	352	1	to	to	PART
cana-2871	352	2	prevent	prevent	VERB
cana-2871	352	3	hiv	hiv	PROPN
cana-2871	352	4	phobia	phobia	PROPN
cana-2871	352	5	,	,	PUNCT
cana-2871	352	6	use	use	VERB
cana-2871	352	7	condoms	condom	NOUN
cana-2871	352	8	,	,	PUNCT
cana-2871	352	9	avoid	avoid	VERB
cana-2871	352	10	sexual	sexual	ADJ
cana-2871	352	11	activity	activity	NOUN
cana-2871	352	12	,	,	PUNCT
cana-2871	352	13	not	not	PART
cana-2871	352	14	share	share	VERB
cana-2871	352	15	sterile	sterile	ADJ
cana-2871	352	16	needles	needle	NOUN
cana-2871	352	17	,	,	PUNCT
cana-2871	352	18	or	or	CCONJ
cana-2871	352	19	think	think	VERB
cana-2871	352	20	about	about	ADP
cana-2871	352	21	taking	take	VERB
cana-2871	352	22	a	a	DET
cana-2871	352	23	prep	prep	NOUN
cana-2871	352	24	or	or	CCONJ
cana-2871	352	25	pep	pep	NOUN
cana-2871	352	26	medication	medication	NOUN
cana-2871	352	27	.	.	PUNCT
cana-2871	353	1	your	your	PRON
cana-2871	353	2	mind	mind	NOUN
cana-2871	353	3	may	may	AUX
cana-2871	353	4	be	be	AUX
cana-2871	353	5	at	at	ADP
cana-2871	353	6	ease	ease	NOUN
cana-2871	353	7	if	if	SCONJ
cana-2871	353	8	you	you	PRON
cana-2871	353	9	are	be	AUX
cana-2871	353	10	certain	certain	ADJ
cana-2871	353	11	of	of	ADP
cana-2871	353	12	your	your	PRON
cana-2871	353	13	safety	safety	NOUN
cana-2871	353	14	.	.	PUNCT
cana-2871	354	1	seek	seek	VERB
cana-2871	354	2	advice	advice	NOUN
cana-2871	354	3	from	from	ADP
cana-2871	354	4	a	a	DET
cana-2871	354	5	medical	medical	ADJ
cana-2871	354	6	practitioner	practitioner	NOUN
cana-2871	354	7	or	or	CCONJ
cana-2871	354	8	contact	contact	VERB
cana-2871	354	9	a	a	DET
cana-2871	354	10	local	local	ADJ
cana-2871	354	11	aids	aids	PROPN
cana-2871	354	12	organization	organization	NOUN
cana-2871	354	13	for	for	ADP
cana-2871	354	14	recommendations	recommendation	NOUN
cana-2871	354	15	to	to	ADP
cana-2871	354	16	specialized	specialize	VERB
cana-2871	354	17	providers	provider	NOUN
cana-2871	354	18	if	if	SCONJ
cana-2871	354	19	you	you	PRON
cana-2871	354	20	or	or	CCONJ
cana-2871	354	21	a	a	DET
cana-2871	354	22	loved	love	VERB
cana-2871	354	23	one	one	NUM
cana-2871	354	24	suffers	suffer	VERB
cana-2871	354	25	from	from	ADP
cana-2871	354	26	hiv	hiv	PROPN
cana-2871	354	27	phobia	phobia	NOUN
cana-2871	354	28	.	.	PUNCT
cana-2871	355	1	or	or	CCONJ
cana-2871	355	2	,	,	PUNCT
cana-2871	355	3	through	through	ADP
cana-2871	355	4	your	your	PRON
cana-2871	355	5	community	community	NOUN
cana-2871	355	6	hiv	hiv	PROPN
cana-2871	355	7	clinic	clinic	NOUN
cana-2871	355	8	or	or	CCONJ
cana-2871	355	9	the	the	DET
cana-2871	355	10	24	24	NUM
cana-2871	355	11	-	-	PUNCT
cana-2871	355	12	hour	hour	NOUN
cana-2871	355	13	aids	aids	PROPN
cana-2871	355	14	hotline	hotline	NOUN
cana-2871	355	15	that	that	PRON
cana-2871	355	16	's	be	AUX
cana-2871	355	17	available	available	ADJ
cana-2871	355	18	in	in	ADP
cana-2871	355	19	most	most	ADJ
cana-2871	355	20	states	state	NOUN
cana-2871	355	21	,	,	PUNCT
cana-2871	355	22	you	you	PRON
cana-2871	355	23	might	might	AUX
cana-2871	355	24	be	be	AUX
cana-2871	355	25	able	able	ADJ
cana-2871	355	26	to	to	PART
cana-2871	355	27	connect	connect	VERB
cana-2871	355	28	with	with	ADP
cana-2871	355	29	a	a	DET
cana-2871	355	30	local	local	ADJ
cana-2871	355	31	support	support	NOUN
cana-2871	355	32	group	group	NOUN
cana-2871	355	33	.	.	PUNCT
cana-2871	356	1	whenever	whenever	SCONJ
cana-2871	356	2	researching	research	VERB
cana-2871	356	3	the	the	DET
cana-2871	356	4	hiv	hiv	PROPN
cana-2871	356	5	/	/	SYM
cana-2871	356	6	aids	aids	PROPN
cana-2871	356	7	disease	disease	NOUN
cana-2871	356	8	phenomenon	phenomenon	NOUN
cana-2871	356	9	,	,	PUNCT
cana-2871	356	10	human	human	ADJ
cana-2871	356	11	safety	safety	NOUN
cana-2871	356	12	is	be	AUX
cana-2871	356	13	the	the	DET
cana-2871	356	14	most	most	ADV
cana-2871	356	15	important	important	ADJ
cana-2871	356	16	consideration	consideration	NOUN
cana-2871	356	17	.	.	PUNCT
cana-2871	357	1	certain	certain	ADJ
cana-2871	357	2	scholars	scholar	NOUN
cana-2871	357	3	have	have	AUX
cana-2871	357	4	directed	direct	VERB
cana-2871	357	5	their	their	PRON
cana-2871	357	6	attention	attention	NOUN
cana-2871	357	7	on	on	ADP
cana-2871	357	8	creating	create	VERB
cana-2871	357	9	a	a	DET
cana-2871	357	10	model	model	NOUN
cana-2871	357	11	that	that	PRON
cana-2871	357	12	takes	take	VERB
cana-2871	357	13	preventive	preventive	ADJ
cana-2871	357	14	measures	measure	NOUN
cana-2871	357	15	for	for	ADP
cana-2871	357	16	the	the	DET
cana-2871	357	17	human	human	ADJ
cana-2871	357	18	population	population	NOUN
cana-2871	357	19	into	into	ADP
cana-2871	357	20	account	account	NOUN
cana-2871	357	21	.	.	PUNCT
cana-2871	358	1	in	in	ADP
cana-2871	358	2	the	the	DET
cana-2871	358	3	human	human	ADJ
cana-2871	358	4	population	population	NOUN
cana-2871	358	5	,	,	PUNCT
cana-2871	358	6	this	this	DET
cana-2871	358	7	preventive	preventive	ADJ
cana-2871	358	8	measure	measure	NOUN
cana-2871	358	9	lowers	lower	VERB
cana-2871	358	10	the	the	DET
cana-2871	358	11	fear	fear	NOUN
cana-2871	358	12	and	and	CCONJ
cana-2871	358	13	infection	infection	NOUN
cana-2871	358	14	risk	risk	NOUN
cana-2871	358	15	.	.	PUNCT
cana-2871	359	1	the	the	DET
cana-2871	359	2	hiv	hiv	PROPN
cana-2871	359	3	/	/	SYM
cana-2871	359	4	aids	aids	PROPN
cana-2871	359	5	is	be	AUX
cana-2871	359	6	demonstrated	demonstrate	VERB
cana-2871	359	7	beneath	beneath	ADP
cana-2871	359	8	the	the	DET
cana-2871	359	9	idea	idea	NOUN
cana-2871	359	10	of	of	ADP
cana-2871	359	11	d.e	d.e	PROPN
cana-2871	359	12	.	.	PUNCT
cana-2871	360	1	the	the	DET
cana-2871	360	2	model	model	NOUN
cana-2871	360	3	of	of	ADP
cana-2871	360	4	the	the	DET
cana-2871	360	5	stability	stability	NOUN
cana-2871	360	6	is	be	AUX
cana-2871	360	7	assessed	assess	VERB
cana-2871	360	8	in	in	ADP
cana-2871	360	9	view	view	NOUN
cana-2871	360	10	of	of	ADP
cana-2871	360	11	the	the	DET
cana-2871	360	12	circumstances	circumstance	NOUN
cana-2871	360	13	of	of	ADP
cana-2871	360	14	the	the	DET
cana-2871	360	15	lyapunov	lyapunov	NOUN
cana-2871	360	16	.	.	PUNCT
cana-2871	361	1	the	the	DET
cana-2871	361	2	planning	planning	NOUN
cana-2871	361	3	of	of	ADP
cana-2871	361	4	the	the	DET
cana-2871	361	5	function	function	NOUN
cana-2871	361	6	of	of	ADP
cana-2871	361	7	lyapunov	lyapunov	PROPN
cana-2871	361	8	is	be	AUX
cana-2871	361	9	advancement	advancement	NOUN
cana-2871	361	10	in	in	ADP
cana-2871	361	11	the	the	DET
cana-2871	361	12	difference	difference	NOUN
cana-2871	361	13	equation	equation	NOUN
cana-2871	361	14	idea	idea	NOUN
cana-2871	361	15	.	.	PUNCT
cana-2871	362	1	additionally	additionally	ADV
cana-2871	362	2	investigated	investigate	VERB
cana-2871	362	3	the	the	DET
cana-2871	362	4	lipschitz	lipschitz	NOUN
cana-2871	362	5	condition	condition	NOUN
cana-2871	362	6	,	,	PUNCT
cana-2871	362	7	and	and	CCONJ
cana-2871	362	8	the	the	DET
cana-2871	362	9	existence	existence	NOUN
cana-2871	362	10	of	of	ADP
cana-2871	362	11	uniqueness	uniqueness	NOUN
cana-2871	362	12	of	of	ADP
cana-2871	362	13	the	the	DET
cana-2871	362	14	system	system	NOUN
cana-2871	362	15	of	of	ADP
cana-2871	362	16	equations	equation	NOUN
cana-2871	362	17	.	.	PUNCT
cana-2871	363	1	for	for	ADP
cana-2871	363	2	this	this	DET
cana-2871	363	3	hiv	hiv	PROPN
cana-2871	363	4	model	model	NOUN
cana-2871	363	5	,	,	PUNCT
cana-2871	363	6	the	the	DET
cana-2871	363	7	boundedness	boundedness	NOUN
cana-2871	363	8	,	,	PUNCT
cana-2871	363	9	non	non	ADJ
cana-2871	363	10	-	-	ADJ
cana-2871	363	11	negativity	negativity	ADJ
cana-2871	363	12	,	,	PUNCT
cana-2871	363	13	continuity	continuity	NOUN
cana-2871	363	14	results	result	NOUN
cana-2871	363	15	have	have	AUX
cana-2871	363	16	been	be	AUX
cana-2871	363	17	examined	examine	VERB
cana-2871	363	18	.	.	PUNCT
cana-2871	364	1	also	also	ADV
cana-2871	364	2	,	,	PUNCT
cana-2871	364	3	disease	disease	NOUN
cana-2871	364	4	free	free	ADJ
cana-2871	364	5	equilibrium	equilibrium	NOUN
cana-2871	364	6	and	and	CCONJ
cana-2871	364	7	equilibrium	equilibrium	NOUN
cana-2871	364	8	of	of	ADP
cana-2871	364	9	endemic	endemic	ADJ
cana-2871	364	10	are	be	AUX
cana-2871	364	11	analyzed	analyze	VERB
cana-2871	364	12	.	.	PUNCT
cana-2871	365	1	the	the	DET
cana-2871	365	2	d.e	d.e	PROPN
cana-2871	365	3	.	.	PROPN
cana-2871	365	4	point	point	NOUN
cana-2871	365	5	is	be	AUX
cana-2871	365	6	asymptotically	asymptotically	ADV
cana-2871	365	7	stable	stable	ADJ
cana-2871	365	8	when	when	SCONJ
cana-2871	365	9	the	the	DET
cana-2871	365	10	reproduction	reproduction	NOUN
cana-2871	365	11	number	number	NOUN
cana-2871	365	12	ℜ0	ℜ0	ADV
cana-2871	365	13	<	<	X
cana-2871	365	14	1	1	NUM
cana-2871	365	15	and	and	CCONJ
cana-2871	365	16	unstable	unstable	ADJ
cana-2871	365	17	when	when	SCONJ
cana-2871	365	18	ℜ0	ℜ0	PROPN
cana-2871	365	19	>	>	X
cana-2871	365	20	1	1	NUM
cana-2871	365	21	.	.	PUNCT
cana-2871	366	1	subsequently	subsequently	ADV
cana-2871	366	2	,	,	PUNCT
cana-2871	366	3	they	they	PRON
cana-2871	366	4	can	can	AUX
cana-2871	366	5	anticipate	anticipate	VERB
cana-2871	366	6	the	the	DET
cana-2871	366	7	results	result	NOUN
cana-2871	366	8	of	of	ADP
cana-2871	366	9	hiv	hiv	PROPN
cana-2871	366	10	/	/	SYM
cana-2871	366	11	aids	aids	PROPN
cana-2871	366	12	.	.	PUNCT
cana-2871	367	1	also	also	ADV
cana-2871	367	2	,	,	PUNCT
cana-2871	367	3	the	the	DET
cana-2871	367	4	review	review	NOUN
cana-2871	367	5	will	will	AUX
cana-2871	367	6	assist	assist	VERB
cana-2871	367	7	with	with	ADP
cana-2871	367	8	the	the	DET
cana-2871	367	9	help	help	NOUN
cana-2871	367	10	to	to	PART
cana-2871	367	11	fight	fight	VERB
cana-2871	367	12	against	against	ADP
cana-2871	367	13	hiv	hiv	PROPN
cana-2871	367	14	/	/	SYM
cana-2871	367	15	aids	aids	PROPN
cana-2871	367	16	-	-	PUNCT
cana-2871	367	17	phobia	phobia	NOUN
cana-2871	367	18	by	by	ADP
cana-2871	367	19	policy	policy	NOUN
cana-2871	367	20	-	-	PUNCT
cana-2871	367	21	makers	maker	NOUN
cana-2871	367	22	,	,	PUNCT
cana-2871	367	23	ngos	ngo	NOUN
cana-2871	367	24	,	,	PUNCT
cana-2871	367	25	and	and	CCONJ
cana-2871	367	26	other	other	ADJ
cana-2871	367	27	concerned	concerned	ADJ
cana-2871	367	28	organizations	organization	NOUN
cana-2871	367	29	.	.	PUNCT
cana-2871	368	1	funding	fund	VERB
cana-2871	368	2	details	detail	NOUN
cana-2871	368	3	:	:	PUNCT
cana-2871	368	4	no	no	DET
cana-2871	368	5	funding	funding	NOUN
cana-2871	368	6	was	be	AUX
cana-2871	368	7	received	receive	VERB
cana-2871	368	8	for	for	ADP
cana-2871	368	9	the	the	DET
cana-2871	368	10	preparation	preparation	NOUN
cana-2871	368	11	of	of	ADP
cana-2871	368	12	this	this	DET
cana-2871	368	13	paper	paper	NOUN
cana-2871	368	14	.	.	PUNCT
cana-2871	369	1	disclosure	disclosure	NOUN
cana-2871	369	2	statement	statement	NOUN
cana-2871	369	3	:	:	PUNCT
cana-2871	369	4	no	no	DET
cana-2871	369	5	potential	potential	ADJ
cana-2871	369	6	conflict	conflict	NOUN
cana-2871	369	7	of	of	ADP
cana-2871	369	8	interest	interest	NOUN
cana-2871	369	9	was	be	AUX
cana-2871	369	10	reported	report	VERB
cana-2871	369	11	by	by	ADP
cana-2871	369	12	the	the	DET
cana-2871	369	13	authors	author	NOUN
cana-2871	369	14	.	.	PUNCT
cana-2871	370	1	data	datum	NOUN
cana-2871	370	2	availability	availability	NOUN
cana-2871	370	3	statement	statement	NOUN
cana-2871	370	4	:	:	PUNCT
cana-2871	370	5	data	datum	NOUN
cana-2871	370	6	sharing	sharing	NOUN
cana-2871	370	7	is	be	AUX
cana-2871	370	8	not	not	PART
cana-2871	370	9	applicable	applicable	ADJ
cana-2871	370	10	to	to	ADP
cana-2871	370	11	this	this	DET
cana-2871	370	12	article	article	NOUN
cana-2871	370	13	as	as	SCONJ
cana-2871	370	14	no	no	DET
cana-2871	370	15	new	new	ADJ
cana-2871	370	16	data	datum	NOUN
cana-2871	370	17	were	be	AUX
cana-2871	370	18	created	create	VERB
cana-2871	370	19	or	or	CCONJ
cana-2871	370	20	analyzed	analyze	VERB
cana-2871	370	21	in	in	ADP
cana-2871	370	22	this	this	DET
cana-2871	370	23	study	study	NOUN
cana-2871	370	24	.	.	PUNCT
cana-2871	371	1	acknowledgments	acknowledgment	NOUN
cana-2871	371	2	author	author	NOUN
cana-2871	371	3	commitments	commitment	NOUN
cana-2871	371	4	:	:	PUNCT
cana-2871	371	5	all	all	DET
cana-2871	371	6	authors	author	NOUN
cana-2871	371	7	contributed	contribute	VERB
cana-2871	371	8	in	in	ADP
cana-2871	371	9	basically	basically	ADV
cana-2871	371	10	the	the	DET
cana-2871	371	11	same	same	ADJ
cana-2871	371	12	manner	manner	NOUN
cana-2871	371	13	to	to	ADP
cana-2871	371	14	this	this	DET
cana-2871	371	15	paper	paper	NOUN
cana-2871	371	16	.	.	PUNCT
cana-2871	372	1	all	all	DET
cana-2871	372	2	authors	author	NOUN
cana-2871	372	3	read	read	VERB
cana-2871	372	4	and	and	CCONJ
cana-2871	372	5	supported	support	VERB
cana-2871	372	6	last	last	ADJ
cana-2871	372	7	variant	variant	NOUN
cana-2871	372	8	of	of	ADP
cana-2871	372	9	this	this	DET
cana-2871	372	10	paper	paper	NOUN
cana-2871	372	11	.	.	PUNCT
cana-2871	373	1	conflicts	conflict	NOUN
cana-2871	373	2	of	of	ADP
cana-2871	373	3	interest	interest	NOUN
cana-2871	373	4	:	:	PUNCT
cana-2871	373	5	the	the	DET
cana-2871	373	6	author	author	NOUN
cana-2871	373	7	proclaims	proclaim	VERB
cana-2871	373	8	no	no	DET
cana-2871	373	9	conflict	conflict	NOUN
cana-2871	373	10	of	of	ADP
cana-2871	373	11	interest	interest	NOUN
cana-2871	373	12	.	.	PUNCT
cana-2871	374	1	information	information	NOUN
cana-2871	374	2	accessibility	accessibility	NOUN
cana-2871	374	3	:	:	PUNCT
cana-2871	374	4	everything	everything	PRON
cana-2871	374	5	information	information	NOUN
cana-2871	374	6	expected	expect	VERB
cana-2871	374	7	for	for	ADP
cana-2871	374	8	this	this	DET
cana-2871	374	9	exploration	exploration	NOUN
cana-2871	374	10	is	be	AUX
cana-2871	374	11	incorporated	incorporate	VERB
cana-2871	374	12	in	in	ADP
cana-2871	374	13	this	this	DET
cana-2871	374	14	paper	paper	NOUN
cana-2871	374	15	.	.	PUNCT
cana-2871	375	1	communications	communication	NOUN
cana-2871	375	2	on	on	ADP
cana-2871	375	3	applied	apply	VERB
cana-2871	375	4	nonlinear	nonlinear	ADJ
cana-2871	375	5	analysis	analysis	NOUN
cana-2871	375	6	issn	issn	NOUN
cana-2871	375	7	:	:	PUNCT
cana-2871	375	8	1074	1074	NUM
cana-2871	375	9	-	-	PUNCT
cana-2871	375	10	133x	133x	NUM
cana-2871	375	11	vol	vol	NOUN
cana-2871	375	12	32	32	NUM
cana-2871	375	13	no	no	NOUN
cana-2871	375	14	.	.	PUNCT
cana-2871	376	1	4s	4s	NUM
cana-2871	376	2	(	(	PUNCT
cana-2871	376	3	2025	2025	NUM
cana-2871	376	4	)	)	PUNCT
cana-2871	376	5	568	568	NUM
cana-2871	376	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2871	376	7	references	reference	NOUN
cana-2871	376	8	:	:	PUNCT
cana-2871	377	1	[	[	X
cana-2871	377	2	1	1	X
cana-2871	377	3	]	]	PUNCT
cana-2871	377	4	s.	s.	PROPN
cana-2871	377	5	sharma	sharma	PROPN
cana-2871	377	6	and	and	CCONJ
cana-2871	377	7	g.	g.	PROPN
cana-2871	377	8	p.	p.	PROPN
cana-2871	377	9	samanta	samanta	PROPN
cana-2871	377	10	.	.	PROPN
cana-2871	377	11	,	,	PUNCT
cana-2871	377	12	2013	2013	NUM
cana-2871	377	13	.	.	PUNCT
cana-2871	378	1	dynamical	dynamical	ADJ
cana-2871	378	2	behaviour	behaviour	NOUN
cana-2871	378	3	of	of	ADP
cana-2871	378	4	an	an	DET
cana-2871	378	5	hiv	hiv	PROPN
cana-2871	378	6	/	/	SYM
cana-2871	378	7	aids	aids	PROPN
cana-2871	378	8	epidemic	epidemic	NOUN
cana-2871	378	9	model	model	NOUN
cana-2871	378	10	.	.	PUNCT
cana-2871	379	1	differential	differential	ADJ
cana-2871	379	2	equations	equation	NOUN
cana-2871	379	3	and	and	CCONJ
cana-2871	379	4	dynamical	dynamical	ADJ
cana-2871	379	5	systems	system	NOUN
cana-2871	379	6	,	,	PUNCT
cana-2871	379	7	22	22	NUM
cana-2871	379	8	.	.	PUNCT
cana-2871	380	1	[	[	X
cana-2871	380	2	2	2	X
cana-2871	380	3	]	]	X
cana-2871	380	4	h.	h.	PROPN
cana-2871	380	5	abboubakar	abboubakar	PROPN
cana-2871	380	6	,	,	PUNCT
cana-2871	380	7	j.	j.	PROPN
cana-2871	380	8	c.	c.	PROPN
cana-2871	380	9	kamgang	kamgang	PROPN
cana-2871	380	10	,	,	PUNCT
cana-2871	380	11	and	and	CCONJ
cana-2871	380	12	d.	d.	PROPN
cana-2871	380	13	tieudjo	tieudjo	PROPN
cana-2871	380	14	.	.	PROPN
cana-2871	380	15	,	,	PUNCT
cana-2871	380	16	2016	2016	NUM
cana-2871	380	17	.	.	PUNCT
cana-2871	381	1	bifurcation	bifurcation	NOUN
cana-2871	381	2	thresholds	threshold	NOUN
cana-2871	381	3	and	and	CCONJ
cana-2871	381	4	optimal	optimal	ADJ
cana-2871	381	5	control	control	NOUN
cana-2871	381	6	in	in	ADP
cana-2871	381	7	transmission	transmission	NOUN
cana-2871	381	8	dynamics	dynamic	NOUN
cana-2871	381	9	of	of	ADP
cana-2871	381	10	arboviral	arboviral	ADJ
cana-2871	381	11	diseases	disease	NOUN
cana-2871	381	12	,	,	PUNCT
cana-2871	381	13	[	[	X
cana-2871	381	14	3	3	NUM
cana-2871	381	15	]	]	X
cana-2871	381	16	naresh	naresh	PROPN
cana-2871	381	17	kumar	kumar	PROPN
cana-2871	381	18	jothi	jothi	PROPN
cana-2871	381	19	and	and	CCONJ
cana-2871	381	20	suresh	suresh	PROPN
cana-2871	381	21	rasappan	rasappan	PROPN
cana-2871	381	22	.	.	PROPN
cana-2871	381	23	,	,	PUNCT
cana-2871	381	24	2017	2017	NUM
cana-2871	381	25	.	.	PUNCT
cana-2871	382	1	stabilization	stabilization	NOUN
cana-2871	382	2	and	and	CCONJ
cana-2871	382	3	complexities	complexity	NOUN
cana-2871	382	4	of	of	ADP
cana-2871	382	5	anopheles	anophele	NOUN
cana-2871	382	6	mosquito	mosquito	ADJ
cana-2871	382	7	dynamics	dynamic	NOUN
cana-2871	382	8	with	with	ADP
cana-2871	382	9	stochastic	stochastic	ADJ
cana-2871	382	10	perturbations	perturbation	NOUN
cana-2871	382	11	,	,	PUNCT
cana-2871	382	12	iaeng	iaeng	PROPN
cana-2871	382	13	international	international	PROPN
cana-2871	382	14	journal	journal	PROPN
cana-2871	382	15	of	of	ADP
cana-2871	382	16	applied	apply	VERB
cana-2871	382	17	mathematics	mathematic	NOUN
cana-2871	382	18	,	,	PUNCT
cana-2871	382	19	47(3	47(3	NOUN
cana-2871	382	20	)	)	PUNCT
cana-2871	382	21	.	.	PUNCT
cana-2871	383	1	[	[	X
cana-2871	383	2	4	4	X
cana-2871	383	3	]	]	PUNCT
cana-2871	383	4	h.	h.	PROPN
cana-2871	383	5	y.	y.	PROPN
cana-2871	383	6	zhu	zhu	PROPN
cana-2871	383	7	,	,	PUNCT
cana-2871	383	8	y.	y.	PROPN
cana-2871	383	9	luo	luo	PROPN
cana-2871	383	10	and	and	CCONJ
cana-2871	383	11	m.	m.	PROPN
cana-2871	383	12	l.	l.	PROPN
cana-2871	383	13	chen	chen	PROPN
cana-2871	383	14	.	.	PROPN
cana-2871	383	15	,	,	PUNCT
cana-2871	383	16	2011	2011	NUM
cana-2871	383	17	.	.	PUNCT
cana-2871	384	1	stability	stability	NOUN
cana-2871	384	2	and	and	CCONJ
cana-2871	384	3	hopf	hopf	ADJ
cana-2871	384	4	bifurcation	bifurcation	NOUN
cana-2871	384	5	of	of	ADP
cana-2871	384	6	a	a	DET
cana-2871	384	7	hiv	hiv	PROPN
cana-2871	384	8	infection	infection	NOUN
cana-2871	384	9	model	model	NOUN
cana-2871	384	10	with	with	ADP
cana-2871	384	11	ctlresponse	ctlresponse	NOUN
cana-2871	384	12	delay	delay	NOUN
cana-2871	384	13	,	,	PUNCT
cana-2871	384	14	comput	comput	NOUN
cana-2871	384	15	.	.	PUNCT
cana-2871	385	1	math	math	NOUN
cana-2871	385	2	.	.	PUNCT
cana-2871	386	1	appl	appl	PROPN
cana-2871	386	2	.	.	PROPN
cana-2871	386	3	,	,	PUNCT
cana-2871	386	4	62	62	NUM
cana-2871	386	5	,	,	PUNCT
cana-2871	386	6	3091	3091	NUM
cana-2871	386	7	-	-	SYM
cana-2871	386	8	3102	3102	NUM
cana-2871	386	9	.	.	PUNCT
cana-2871	387	1	[	[	X
cana-2871	387	2	5	5	NUM
cana-2871	387	3	]	]	X
cana-2871	387	4	kangalgil	kangalgil	PROPN
cana-2871	387	5	f.	f.	PROPN
cana-2871	387	6	,	,	PUNCT
cana-2871	387	7	kartal	kartal	PROPN
cana-2871	387	8	s.	s.	PROPN
cana-2871	387	9	,	,	PUNCT
cana-2871	387	10	2018	2018	NUM
cana-2871	387	11	.	.	PUNCT
cana-2871	388	1	stability	stability	NOUN
cana-2871	388	2	and	and	CCONJ
cana-2871	388	3	bifurcation	bifurcation	NOUN
cana-2871	388	4	analysis	analysis	NOUN
cana-2871	388	5	in	in	ADP
cana-2871	388	6	a	a	DET
cana-2871	388	7	host	host	NOUN
cana-2871	388	8	-	-	PUNCT
cana-2871	388	9	parasitoid	parasitoid	NOUN
cana-2871	388	10	model	model	NOUN
cana-2871	388	11	with	with	ADP
cana-2871	388	12	hassell	hassell	PROPN
cana-2871	388	13	growth	growth	NOUN
cana-2871	388	14	function	function	NOUN
cana-2871	388	15	.	.	PUNCT
cana-2871	389	1	adv	adv	INTJ
cana-2871	389	2	.	.	PUNCT
cana-2871	390	1	differ.equ	differ.equ	PROPN
cana-2871	390	2	.	.	PROPN
cana-2871	390	3	,	,	PUNCT
cana-2871	390	4	240	240	NUM
cana-2871	390	5	.	.	NOUN
cana-2871	390	6	240	240	NUM
cana-2871	390	7	-	-	SYM
cana-2871	390	8	248	248	NUM
cana-2871	390	9	.	.	PUNCT
cana-2871	391	1	[	[	X
cana-2871	391	2	6	6	NUM
cana-2871	391	3	]	]	PUNCT
cana-2871	391	4	kooi	kooi	PROPN
cana-2871	391	5	b.w	b.w	PROPN
cana-2871	391	6	.	.	PROPN
cana-2871	391	7	,	,	PUNCT
cana-2871	391	8	aguiar	aguiar	NOUN
cana-2871	391	9	m.	m.	NOUN
cana-2871	391	10	,	,	PUNCT
cana-2871	391	11	stollenwerk	stollenwerk	PROPN
cana-2871	391	12	n.	n.	PROPN
cana-2871	391	13	,	,	PUNCT
cana-2871	391	14	2013	2013	NUM
cana-2871	391	15	.	.	PUNCT
cana-2871	392	1	bifurcation	bifurcation	NOUN
cana-2871	392	2	analysis	analysis	NOUN
cana-2871	392	3	of	of	ADP
cana-2871	392	4	a	a	DET
cana-2871	392	5	family	family	NOUN
cana-2871	392	6	of	of	ADP
cana-2871	392	7	multi	multi	ADJ
cana-2871	392	8	-	-	ADJ
cana-2871	392	9	strain	strain	ADJ
cana-2871	392	10	epidemiology	epidemiology	NOUN
cana-2871	392	11	models	model	NOUN
cana-2871	392	12	.	.	PUNCT
cana-2871	393	1	j.comput	j.comput	NOUN
cana-2871	393	2	.	.	PUNCT
cana-2871	394	1	appl	appl	PROPN
cana-2871	394	2	.	.	PROPN
cana-2871	394	3	math	math	PROPN
cana-2871	394	4	.	.	PUNCT
cana-2871	395	1	,	,	PUNCT
cana-2871	395	2	252,148	252,148	NUM
cana-2871	395	3	-	-	SYM
cana-2871	395	4	158	158	NUM
cana-2871	395	5	.	.	PUNCT
cana-2871	396	1	[	[	X
cana-2871	396	2	7	7	X
cana-2871	396	3	]	]	X
cana-2871	396	4	naresh	naresh	PROPN
cana-2871	396	5	kumar	kumar	PROPN
cana-2871	396	6	jothi	jothi	PROPN
cana-2871	396	7	,	,	PUNCT
cana-2871	396	8	vadivelu	vadivelu	PROPN
cana-2871	396	9	v	v	PROPN
cana-2871	396	10	,	,	PUNCT
cana-2871	396	11	senthil	senthil	PROPN
cana-2871	396	12	kumar	kumar	PROPN
cana-2871	396	13	dayalan	dayalan	PROPN
cana-2871	396	14	,	,	PUNCT
cana-2871	396	15	jayant	jayant	PROPN
cana-2871	396	16	giri	giri	PROPN
cana-2871	396	17	,	,	PUNCT
cana-2871	396	18	wesam	wesam	NOUN
cana-2871	396	19	atefhatamleh	atefhatamleh	NOUN
cana-2871	396	20	,	,	PUNCT
cana-2871	396	21	hitesh	hitesh	PROPN
cana-2871	396	22	panchal	panchal	NOUN
cana-2871	396	23	.	.	PUNCT
cana-2871	396	24	,2024	,2024	PUNCT
cana-2871	396	25	.	.	PUNCT
cana-2871	397	1	dynamic	dynamic	ADJ
cana-2871	397	2	interactions	interaction	NOUN
cana-2871	397	3	of	of	ADP
cana-2871	397	4	hsv-2	hsv-2	X
cana-2871	397	5	and	and	CCONJ
cana-2871	397	6	hiv	hiv	PROPN
cana-2871	397	7	/	/	SYM
cana-2871	397	8	aids	aids	PROPN
cana-2871	397	9	:	:	PUNCT
cana-2871	397	10	a	a	DET
cana-2871	397	11	mathematical	mathematical	ADJ
cana-2871	397	12	modeling	modeling	NOUN
cana-2871	397	13	approach	approach	NOUN
cana-2871	397	14	,	,	PUNCT
cana-2871	397	15	aip	aip	PROPN
cana-2871	397	16	advances	advance	VERB
cana-2871	397	17	14	14	NUM
cana-2871	397	18	,	,	PUNCT
cana-2871	397	19	035326	035326	NUM
cana-2871	397	20	(	(	PUNCT
cana-2871	397	21	2024)https://doi.org/10.1063/5.0189284	2024)https://doi.org/10.1063/5.0189284	NUM
cana-2871	398	1	[	[	NOUN
cana-2871	398	2	8	8	NUM
cana-2871	398	3	]	]	X
cana-2871	398	4	jiang	jiang	PROPN
cana-2871	398	5	,	,	PUNCT
cana-2871	398	6	h.	h.	PROPN
cana-2871	398	7	,	,	PUNCT
cana-2871	398	8	zhou	zhou	PROPN
cana-2871	398	9	,	,	PUNCT
cana-2871	398	10	y.	y.	PROPN
cana-2871	398	11	,	,	PUNCT
cana-2871	398	12	and	and	CCONJ
cana-2871	398	13	tang	tang	PROPN
cana-2871	398	14	,	,	PUNCT
cana-2871	398	15	w.	w.	PROPN
cana-2871	398	16	2020	2020	NUM
cana-2871	398	17	.	.	PUNCT
cana-2871	399	1	maintaining	maintain	VERB
cana-2871	399	2	hiv	hiv	PROPN
cana-2871	399	3	care	care	NOUN
cana-2871	399	4	during	during	ADP
cana-2871	399	5	the	the	DET
cana-2871	399	6	covid-19	covid-19	PROPN
cana-2871	399	7	pandemic	pandemic	NOUN
cana-2871	399	8	.	.	PUNCT
cana-2871	400	1	lancet	lancet	PROPN
cana-2871	400	2	hiv	hiv	PROPN
cana-2871	400	3	7	7	NUM
cana-2871	400	4	,	,	PUNCT
cana-2871	400	5	308	308	NUM
cana-2871	400	6	–	–	PUNCT
cana-2871	400	7	309	309	NUM
cana-2871	400	8	.	.	PUNCT
cana-2871	401	1	[	[	X
cana-2871	401	2	9	9	NUM
cana-2871	401	3	]	]	X
cana-2871	401	4	may	may	AUX
cana-2871	401	5	,	,	PUNCT
cana-2871	401	6	r.	r.	PROPN
cana-2871	401	7	m.	m.	PROPN
cana-2871	401	8	,	,	PUNCT
cana-2871	401	9	and	and	CCONJ
cana-2871	401	10	anderson	anderson	PROPN
cana-2871	401	11	,	,	PUNCT
cana-2871	401	12	r.	r.	PROPN
cana-2871	401	13	m.	m.	PROPN
cana-2871	401	14	,	,	PUNCT
cana-2871	401	15	1988	1988	NUM
cana-2871	401	16	.	.	PUNCT
cana-2871	402	1	the	the	DET
cana-2871	402	2	transmission	transmission	NOUN
cana-2871	402	3	dynamics	dynamic	NOUN
cana-2871	402	4	of	of	ADP
cana-2871	402	5	the	the	DET
cana-2871	402	6	human	human	ADJ
cana-2871	402	7	immunodeficiency	immunodeficiency	NOUN
cana-2871	402	8	virus	virus	NOUN
cana-2871	402	9	(	(	PUNCT
cana-2871	402	10	hiv	hiv	PROPN
cana-2871	402	11	)	)	PUNCT
cana-2871	402	12	.	.	PUNCT
cana-2871	403	1	philos	philos	PROPN
cana-2871	403	2	.	.	PUNCT
cana-2871	404	1	trans	trans	PROPN
cana-2871	404	2	.	.	PUNCT
cana-2871	404	3	r.	r.	PROPN
cana-2871	404	4	soc.lond	soc.lond	PROPN
cana-2871	404	5	.	.	PUNCT
cana-2871	405	1	b.	b.	PROPN
cana-2871	405	2	biol	biol	PROPN
cana-2871	405	3	.	.	PUNCT
cana-2871	406	1	sci	sci	PROPN
cana-2871	406	2	.	.	PROPN
cana-2871	406	3	321	321	NUM
cana-2871	406	4	,	,	PUNCT
cana-2871	406	5	565–607	565–607	NUM
cana-2871	406	6	.	.	PUNCT
cana-2871	407	1	[	[	X
cana-2871	407	2	10	10	NUM
cana-2871	407	3	]	]	PUNCT
cana-2871	407	4	a.boukhouima	a.boukhouima	PROPN
cana-2871	407	5	,	,	PUNCT
cana-2871	407	6	k.	k.	PROPN
cana-2871	407	7	hattaf	hattaf	PROPN
cana-2871	407	8	,	,	PUNCT
cana-2871	407	9	n.	n.	PROPN
cana-2871	407	10	yousfi	yousfi	PROPN
cana-2871	407	11	.	.	PUNCT
cana-2871	407	12	,	,	PUNCT
cana-2871	407	13	2017	2017	NUM
cana-2871	407	14	.	.	PUNCT
cana-2871	408	1	dynamics	dynamic	NOUN
cana-2871	408	2	of	of	ADP
cana-2871	408	3	a	a	DET
cana-2871	408	4	fractional	fractional	ADJ
cana-2871	408	5	order	order	NOUN
cana-2871	408	6	hiv	hiv	PROPN
cana-2871	408	7	infection	infection	NOUN
cana-2871	408	8	model	model	NOUN
cana-2871	408	9	with	with	ADP
cana-2871	408	10	specific	specific	ADJ
cana-2871	408	11	functional	functional	ADJ
cana-2871	408	12	response	response	NOUN
cana-2871	408	13	and	and	CCONJ
cana-2871	408	14	cure	cure	NOUN
cana-2871	408	15	rate	rate	NOUN
cana-2871	408	16	,	,	PUNCT
cana-2871	408	17	int	int	NOUN
cana-2871	408	18	.	.	PUNCT
cana-2871	409	1	j.	j.	PROPN
cana-2871	409	2	differ	differ	VERB
cana-2871	409	3	.	.	PUNCT
cana-2871	410	1	equation	equation	NOUN
cana-2871	410	2	.	.	PUNCT
cana-2871	411	1	[	[	X
cana-2871	411	2	11	11	NUM
cana-2871	411	3	]	]	PUNCT
cana-2871	411	4	z.	z.	PROPN
cana-2871	411	5	iqbal	iqbal	PROPN
cana-2871	411	6	,	,	PUNCT
cana-2871	411	7	n.	n.	PROPN
cana-2871	411	8	ahmed	ahmed	PROPN
cana-2871	411	9	,	,	PUNCT
cana-2871	411	10	d.	d.	PROPN
cana-2871	411	11	baleanu	baleanu	PROPN
cana-2871	411	12	,	,	PUNCT
cana-2871	411	13	w.	w.	PROPN
cana-2871	411	14	adel	adel	PROPN
cana-2871	411	15	,	,	PUNCT
cana-2871	411	16	m.	m.	PROPN
cana-2871	411	17	rafiq	rafiq	PROPN
cana-2871	411	18	,	,	PUNCT
cana-2871	411	19	muhammad	muhammad	PROPN
cana-2871	411	20	,	,	PUNCT
cana-2871	411	21	m.	m.	NOUN
cana-2871	411	22	a.	a.	PROPN
cana-2871	411	23	rehman	rehman	PROPN
cana-2871	411	24	,	,	PUNCT
cana-2871	411	25	a.	a.	PROPN
cana-2871	411	26	s.	s.	PROPN
cana-2871	411	27	alshomrani	alshomrani	PROPN
cana-2871	411	28	.	.	PUNCT
cana-2871	411	29	,	,	PUNCT
cana-2871	411	30	2020	2020	NUM
cana-2871	411	31	.	.	PUNCT
cana-2871	412	1	positivity	positivity	NOUN
cana-2871	412	2	and	and	CCONJ
cana-2871	412	3	boundedness	boundedness	NOUN
cana-2871	412	4	preserving	preserve	VERB
cana-2871	412	5	numerical	numerical	ADJ
cana-2871	412	6	algorithm	algorithm	NOUN
cana-2871	412	7	for	for	ADP
cana-2871	412	8	the	the	DET
cana-2871	412	9	solution	solution	NOUN
cana-2871	412	10	of	of	ADP
cana-2871	412	11	fractional	fractional	ADJ
cana-2871	412	12	nonlinear	nonlinear	ADJ
cana-2871	412	13	epidemic	epidemic	NOUN
cana-2871	412	14	model	model	NOUN
cana-2871	412	15	of	of	ADP
cana-2871	412	16	hiv	hiv	PROPN
cana-2871	412	17	/	/	SYM
cana-2871	412	18	aids	aids	PROPN
cana-2871	412	19	transmission	transmission	NOUN
cana-2871	412	20	,	,	PUNCT
cana-2871	412	21	chaos	chaos	NOUN
cana-2871	412	22	soliton	soliton	NOUN
cana-2871	412	23	.	.	PUNCT
cana-2871	413	1	fract	fract	PROPN
cana-2871	413	2	.	.	PUNCT
cana-2871	413	3	,	,	PUNCT
cana-2871	413	4	134	134	NUM
cana-2871	413	5	,	,	PUNCT
cana-2871	413	6	109706	109706	NUM
cana-2871	413	7	.	.	PUNCT
cana-2871	414	1	[	[	X
cana-2871	414	2	12	12	NUM
cana-2871	414	3	]	]	PUNCT
cana-2871	414	4	h.-f	h.-f	NOUN
cana-2871	414	5	.	.	PUNCT
cana-2871	415	1	huo	huo	NOUN
cana-2871	415	2	,	,	PUNCT
cana-2871	415	3	r.	r.	PROPN
cana-2871	415	4	chen	chen	PROPN
cana-2871	415	5	,	,	PUNCT
cana-2871	415	6	x.y	x.y	PROPN
cana-2871	415	7	.	.	PROPN
cana-2871	415	8	wang	wang	PROPN
cana-2871	415	9	.	.	PROPN
cana-2871	415	10	,	,	PUNCT
cana-2871	415	11	2017	2017	NUM
cana-2871	415	12	.	.	PUNCT
cana-2871	416	1	modelling	modelling	NOUN
cana-2871	416	2	and	and	CCONJ
cana-2871	416	3	stability	stability	NOUN
cana-2871	416	4	of	of	ADP
cana-2871	416	5	hiv	hiv	PROPN
cana-2871	416	6	/	/	SYM
cana-2871	416	7	aids	aids	PROPN
cana-2871	416	8	epidemic	epidemic	NOUN
cana-2871	416	9	model	model	NOUN
cana-2871	416	10	with	with	ADP
cana-2871	416	11	treatment	treatment	NOUN
cana-2871	416	12	.	.	PUNCT
cana-2871	417	1	appl	appl	PROPN
cana-2871	417	2	.	.	PROPN
cana-2871	417	3	math	math	PROPN
cana-2871	417	4	.	.	PUNCT
cana-2871	418	1	model	model	NOUN
cana-2871	418	2	.	.	PROPN
cana-2871	419	1	40	40	NUM
cana-2871	419	2	,	,	PUNCT
cana-2871	419	3	6550–6559	6550–6559	NUM
cana-2871	419	4	.	.	PUNCT
cana-2871	420	1	[	[	X
cana-2871	420	2	13	13	NUM
cana-2871	420	3	]	]	PUNCT
cana-2871	420	4	t.	t.	PROPN
cana-2871	420	5	yusuf	yusuf	PROPN
cana-2871	420	6	,	,	PUNCT
cana-2871	420	7	f.	f.	PROPN
cana-2871	420	8	benyah	benyah	PROPN
cana-2871	420	9	.	.	PUNCT
cana-2871	421	1	,2012	,2012	PUNCT
cana-2871	421	2	.	.	PUNCT
cana-2871	422	1	optimal	optimal	ADJ
cana-2871	422	2	strategy	strategy	NOUN
cana-2871	422	3	for	for	ADP
cana-2871	422	4	controlling	control	VERB
cana-2871	422	5	the	the	DET
cana-2871	422	6	spread	spread	NOUN
cana-2871	422	7	of	of	ADP
cana-2871	422	8	hiv	hiv	PROPN
cana-2871	422	9	/	/	SYM
cana-2871	422	10	aids	aids	PROPN
cana-2871	422	11	disease	disease	NOUN
cana-2871	422	12	:	:	PUNCT
cana-2871	422	13	a	a	DET
cana-2871	422	14	case	case	NOUN
cana-2871	422	15	study	study	NOUN
cana-2871	422	16	of	of	ADP
cana-2871	422	17	south	south	PROPN
cana-2871	422	18	africa	africa	PROPN
cana-2871	422	19	.	.	PUNCT
cana-2871	423	1	j.	j.	PROPN
cana-2871	423	2	biol	biol	PROPN
cana-2871	423	3	.	.	PUNCT
cana-2871	424	1	dyn	dyn	NOUN
cana-2871	424	2	.	.	PUNCT
cana-2871	425	1	6(2	6(2	NUM
cana-2871	425	2	)	)	PUNCT
cana-2871	425	3	,	,	PUNCT
cana-2871	426	1	475–494	475–494	NUM
cana-2871	426	2	.	.	PUNCT
cana-2871	427	1	[	[	X
cana-2871	427	2	14	14	NUM
cana-2871	427	3	]	]	X
cana-2871	427	4	tang	tang	PROPN
cana-2871	427	5	am	am	PROPN
cana-2871	427	6	,	,	PUNCT
cana-2871	427	7	forrester	forrester	PROPN
cana-2871	427	8	j	j	PROPN
cana-2871	427	9	,	,	PUNCT
cana-2871	427	10	spiegelman	spiegelman	NOUN
cana-2871	427	11	d	d	PROPN
cana-2871	427	12	,	,	PUNCT
cana-2871	427	13	knox	knox	PROPN
cana-2871	427	14	ta	ta	PROPN
cana-2871	427	15	,	,	PUNCT
cana-2871	427	16	tchetgen	tchetgen	PROPN
cana-2871	427	17	e	e	NOUN
cana-2871	427	18	,	,	PUNCT
cana-2871	427	19	gorbach	gorbach	NOUN
cana-2871	427	20	sl	sl	VERB
cana-2871	427	21	.	.	PROPN
cana-2871	427	22	,	,	PUNCT
cana-2871	427	23	2002	2002	NUM
cana-2871	427	24	.	.	PUNCT
cana-2871	428	1	weight	weight	NOUN
cana-2871	428	2	loss	loss	NOUN
cana-2871	428	3	and	and	CCONJ
cana-2871	428	4	survival	survival	NOUN
cana-2871	428	5	in	in	ADP
cana-2871	428	6	hivpositive	hivpositive	ADJ
cana-2871	428	7	patients	patient	NOUN
cana-2871	428	8	in	in	ADP
cana-2871	428	9	the	the	DET
cana-2871	428	10	era	era	NOUN
cana-2871	428	11	of	of	ADP
cana-2871	428	12	highly	highly	ADV
cana-2871	428	13	active	active	ADJ
cana-2871	428	14	antiretroviral	antiretroviral	ADJ
cana-2871	428	15	therapy	therapy	NOUN
cana-2871	428	16	.	.	PUNCT
cana-2871	429	1	j	j	PROPN
cana-2871	429	2	acquir	acquir	PROPN
cana-2871	429	3	immune	immune	VERB
cana-2871	429	4	defic	defic	ADJ
cana-2871	429	5	syndr	syndr	NOUN
cana-2871	429	6	(	(	PUNCT
cana-2871	429	7	1999	1999	NUM
cana-2871	429	8	)	)	PUNCT
cana-2871	429	9	.	.	PUNCT
cana-2871	430	1	31(2):230	31(2):230	NUM
cana-2871	430	2	–	–	PUNCT
cana-2871	430	3	6	6	NUM
cana-2871	430	4	.	.	PUNCT
cana-2871	431	1	[	[	X
cana-2871	431	2	15	15	NUM
cana-2871	431	3	]	]	X
cana-2871	431	4	naresh	naresh	PROPN
cana-2871	431	5	kumar	kumar	PROPN
cana-2871	431	6	jothi	jothi	PROPN
cana-2871	431	7	.	.	PROPN
cana-2871	431	8	,	,	PUNCT
cana-2871	431	9	anusha	anusha	VERB
cana-2871	431	10	muruganandham	muruganandham	PROPN
cana-2871	431	11	.	.	PROPN
cana-2871	431	12	,	,	PUNCT
cana-2871	431	13	t.stalin	t.stalin	PROPN
cana-2871	431	14	and	and	CCONJ
cana-2871	431	15	senthil	senthil	PROPN
cana-2871	431	16	kumar	kumar	PROPN
cana-2871	431	17	dayalan	dayalan	PROPN
cana-2871	431	18	.	.	PUNCT
cana-2871	431	19	,	,	PUNCT
cana-2871	431	20	2023	2023	NUM
cana-2871	431	21	.	.	PUNCT
cana-2871	432	1	ecological	ecological	ADJ
cana-2871	432	2	dynamics	dynamic	NOUN
cana-2871	432	3	and	and	CCONJ
cana-2871	432	4	control	control	NOUN
cana-2871	432	5	strategies	strategy	NOUN
cana-2871	432	6	of	of	ADP
cana-2871	432	7	the	the	DET
cana-2871	432	8	feminine	feminine	ADJ
cana-2871	432	9	anopheles	anophele	NOUN
cana-2871	432	10	stephens	stephen	VERB
cana-2871	432	11	using	use	VERB
cana-2871	432	12	volterra	volterra	PROPN
cana-2871	432	13	lyapunov	lyapunov	PROPN
cana-2871	432	14	function	function	NOUN
cana-2871	432	15	.	.	PUNCT
cana-2871	433	1	journal	journal	NOUN
cana-2871	433	2	of	of	ADP
cana-2871	433	3	the	the	DET
cana-2871	433	4	oriental	oriental	PROPN
cana-2871	433	5	institute	institute	PROPN
cana-2871	433	6	,	,	PUNCT
cana-2871	433	7	72(3)(5	72(3)(5	PROPN
cana-2871	433	8	)	)	PUNCT
cana-2871	433	9	,	,	PUNCT
cana-2871	433	10	117	117	NUM
cana-2871	433	11	-	-	SYM
cana-2871	433	12	127	127	NUM
cana-2871	433	13	.	.	PUNCT
cana-2871	434	1	[	[	X
cana-2871	434	2	16	16	NUM
cana-2871	434	3	]	]	X
cana-2871	434	4	kermack	kermack	NOUN
cana-2871	434	5	,	,	PUNCT
cana-2871	434	6	w.o	w.o	PROPN
cana-2871	434	7	.	.	PROPN
cana-2871	434	8	;	;	PUNCT
cana-2871	434	9	mckendrick	mckendrick	PROPN
cana-2871	434	10	,	,	PUNCT
cana-2871	434	11	a.g	a.g	PROPN
cana-2871	434	12	.	.	PROPN
cana-2871	434	13	a	a	DET
cana-2871	434	14	contribution	contribution	NOUN
cana-2871	434	15	to	to	ADP
cana-2871	434	16	the	the	DET
cana-2871	434	17	mathematical	mathematical	ADJ
cana-2871	434	18	theory	theory	NOUN
cana-2871	434	19	of	of	ADP
cana-2871	434	20	epidemics	epidemic	NOUN
cana-2871	434	21	.	.	PUNCT
cana-2871	435	1	proc	proc	PROPN
cana-2871	435	2	.	.	PUNCT
cana-2871	436	1	r.	r.	PROPN
cana-2871	436	2	soc	soc	PROPN
cana-2871	436	3	.	.	PUNCT
cana-2871	437	1	lond	lond	PROPN
cana-2871	437	2	.	.	PUNCT
cana-2871	438	1	a	a	DET
cana-2871	438	2	1927	1927	NUM
cana-2871	438	3	,	,	PUNCT
cana-2871	438	4	115	115	NUM
cana-2871	438	5	,	,	PUNCT
cana-2871	438	6	700–721	700–721	NUM
cana-2871	438	7	.	.	PUNCT
cana-2871	439	1	[	[	X
cana-2871	439	2	17	17	NUM
cana-2871	439	3	]	]	X
cana-2871	439	4	naresh	naresh	PROPN
cana-2871	439	5	kumar	kumar	PROPN
cana-2871	439	6	jothi	jothi	PROPN
cana-2871	439	7	,	,	PUNCT
cana-2871	439	8	suresh	suresh	PROPN
cana-2871	439	9	,	,	PUNCT
cana-2871	439	10	m.l	m.l	PROPN
cana-2871	439	11	.	.	PROPN
cana-2871	439	12	and	and	CCONJ
cana-2871	439	13	malini	malini	PROPN
cana-2871	439	14	mai	mai	PROPN
cana-2871	439	15	t	t	PROPN
cana-2871	439	16	n	n	PROPN
cana-2871	439	17	m	m	PRON
cana-2871	439	18	,	,	PUNCT
cana-2871	439	19	“	"	PUNCT
cana-2871	439	20	mathematical	mathematical	ADJ
cana-2871	439	21	model	model	NOUN
cana-2871	439	22	for	for	ADP
cana-2871	439	23	the	the	DET
cana-2871	439	24	control	control	NOUN
cana-2871	439	25	of	of	ADP
cana-2871	439	26	life	life	NOUN
cana-2871	439	27	cycle	cycle	NOUN
cana-2871	439	28	of	of	ADP
cana-2871	439	29	feminine	feminine	ADJ
cana-2871	439	30	anopheles	anophele	NOUN
cana-2871	439	31	mosquitoes	mosquito	NOUN
cana-2871	439	32	,	,	PUNCT
cana-2871	439	33	”	"	PUNCT
cana-2871	439	34	international	international	ADJ
cana-2871	439	35	journal	journal	NOUN
cana-2871	439	36	of	of	ADP
cana-2871	439	37	recent	recent	ADJ
cana-2871	439	38	technology	technology	NOUN
cana-2871	439	39	and	and	CCONJ
cana-2871	439	40	engineering	engineering	NOUN
cana-2871	439	41	.	.	PUNCT
cana-2871	440	1	8(3	8(3	NUM
cana-2871	440	2	)	)	PUNCT
cana-2871	440	3	,	,	PUNCT
cana-2871	440	4	5316	5316	NUM
cana-2871	440	5	-	-	SYM
cana-2871	440	6	5319	5319	NUM
cana-2871	440	7	(	(	PUNCT
cana-2871	440	8	2019	2019	NUM
cana-2871	440	9	)	)	PUNCT
cana-2871	440	10	.	.	PUNCT
cana-2871	441	1	[	[	X
cana-2871	441	2	18	18	NUM
cana-2871	441	3	]	]	X
cana-2871	441	4	naresh	naresh	PROPN
cana-2871	441	5	kumar	kumar	PROPN
cana-2871	441	6	jothi	jothi	PROPN
cana-2871	441	7	,	,	PUNCT
cana-2871	441	8	a.	a.	NOUN
cana-2871	441	9	lakshmi	lakshmi	NOUN
cana-2871	441	10	,	,	PUNCT
cana-2871	441	11	“	"	PUNCT
cana-2871	441	12	development	development	NOUN
cana-2871	441	13	and	and	CCONJ
cana-2871	441	14	analysis	analysis	NOUN
cana-2871	441	15	of	of	ADP
cana-2871	441	16	malaria	malaria	NOUN
cana-2871	441	17	vector	vector	NOUN
cana-2871	441	18	by	by	ADP
cana-2871	441	19	mathematical	mathematical	ADJ
cana-2871	441	20	modelling	modelling	NOUN
cana-2871	441	21	,	,	PUNCT
cana-2871	441	22	”	"	PUNCT
cana-2871	441	23	lecture	lecture	NOUN
cana-2871	441	24	notes	note	NOUN
cana-2871	441	25	in	in	ADP
cana-2871	441	26	electrical	electrical	ADJ
cana-2871	441	27	engineering	engineering	NOUN
cana-2871	441	28	:	:	PUNCT
cana-2871	441	29	springer	springer	NOUN
cana-2871	441	30	.	.	PUNCT
cana-2871	442	1	1116	1116	NUM
cana-2871	442	2	,	,	PUNCT
cana-2871	442	3	551	551	NUM
cana-2871	442	4	-	-	SYM
cana-2871	442	5	562	562	NUM
cana-2871	442	6	(	(	PUNCT
cana-2871	442	7	2024	2024	NUM
cana-2871	442	8	)	)	PUNCT
cana-2871	442	9	.	.	PUNCT
cana-2871	443	1	[	[	X
cana-2871	443	2	19	19	NUM
cana-2871	443	3	]	]	X
cana-2871	443	4	a.s	a.s	PROPN
cana-2871	443	5	.	.	PROPN
cana-2871	443	6	waziri	waziri	PROPN
cana-2871	443	7	,	,	PUNCT
cana-2871	443	8	e.	e.	PROPN
cana-2871	443	9	s.	s.	PROPN
cana-2871	443	10	massawe	massawe	PROPN
cana-2871	443	11	,	,	PUNCT
cana-2871	443	12	and	and	CCONJ
cana-2871	443	13	o.	o.	PROPN
cana-2871	443	14	d.	d.	PROPN
cana-2871	443	15	makinde	makinde	PROPN
cana-2871	443	16	.	.	PROPN
cana-2871	443	17	,	,	PUNCT
cana-2871	443	18	2012	2012	NUM
cana-2871	443	19	.	.	PUNCT
cana-2871	444	1	mathematical	mathematical	ADJ
cana-2871	444	2	modelling	modelling	NOUN
cana-2871	444	3	of	of	ADP
cana-2871	444	4	hiv	hiv	PROPN
cana-2871	444	5	/	/	SYM
cana-2871	444	6	aids	aids	PROPN
cana-2871	444	7	dynamics	dynamic	NOUN
cana-2871	444	8	with	with	ADP
cana-2871	444	9	treatment	treatment	NOUN
cana-2871	444	10	and	and	CCONJ
cana-2871	444	11	vertical	vertical	ADJ
cana-2871	444	12	transmission	transmission	NOUN
cana-2871	444	13	.	.	PUNCT
cana-2871	445	1	applied	apply	VERB
cana-2871	445	2	mathematics	mathematic	NOUN
cana-2871	445	3	,	,	PUNCT
cana-2871	445	4	2(3	2(3	NUM
cana-2871	445	5	)	)	PUNCT
cana-2871	445	6	,	,	PUNCT
cana-2871	445	7	77–89	77–89	NUM
cana-2871	445	8	.	.	PUNCT
cana-2871	446	1	[	[	X
cana-2871	446	2	20	20	NUM
cana-2871	446	3	]	]	X
cana-2871	446	4	naresh	naresh	PROPN
cana-2871	446	5	kumar	kumar	PROPN
cana-2871	446	6	jothi	jothi	PROPN
cana-2871	446	7	,	,	PUNCT
cana-2871	446	8	a.	a.	NOUN
cana-2871	446	9	lakshmi	lakshmi	PROPN
cana-2871	446	10	,	,	PUNCT
cana-2871	446	11	senthil	senthil	PROPN
cana-2871	446	12	kumar	kumar	PROPN
cana-2871	446	13	,	,	PUNCT
cana-2871	446	14	p.	p.	PROPN
cana-2871	446	15	,	,	PUNCT
cana-2871	446	16	selvakumari	selvakumari	PROPN
cana-2871	446	17	,	,	PUNCT
cana-2871	446	18	r.	r.	PROPN
cana-2871	446	19	,	,	PUNCT
cana-2871	446	20	2024	2024	NUM
cana-2871	446	21	.	.	PUNCT
cana-2871	446	22	exploring	explore	VERB
cana-2871	446	23	tuberculosis	tuberculosis	NOUN
cana-2871	446	24	:	:	PUNCT
cana-2871	446	25	a	a	DET
cana-2871	446	26	theoretical	theoretical	ADJ
cana-2871	446	27	framework	framework	NOUN
cana-2871	446	28	for	for	ADP
cana-2871	446	29	infection	infection	NOUN
cana-2871	446	30	regulation	regulation	NOUN
cana-2871	446	31	and	and	CCONJ
cana-2871	446	32	eradication	eradication	NOUN
cana-2871	446	33	,	,	PUNCT
cana-2871	446	34	communications	communication	NOUN
cana-2871	446	35	on	on	ADP
cana-2871	446	36	applied	apply	VERB
cana-2871	446	37	nonlinear	nonlinear	NOUN
cana-2871	446	38	.	.	PUNCT
cana-2871	447	1	31(3s	31(3s	NUM
cana-2871	447	2	)	)	PUNCT
cana-2871	447	3	,	,	PUNCT
cana-2871	447	4	pp	pp	ADP
cana-2871	447	5	.	.	PUNCT
cana-2871	448	1	559–579	559–579	NUM
cana-2871	448	2	[	[	X
cana-2871	448	3	21	21	NUM
cana-2871	448	4	]	]	X
cana-2871	448	5	naresh	naresh	PROPN
cana-2871	448	6	kumar	kumar	PROPN
cana-2871	448	7	jothi	jothi	PROPN
cana-2871	448	8	,	,	PUNCT
cana-2871	448	9	a.	a.	NOUN
cana-2871	448	10	lakshmi	lakshmi	PROPN
cana-2871	448	11	,	,	PUNCT
cana-2871	448	12	senthil	senthil	PROPN
cana-2871	448	13	kumar	kumar	PROPN
cana-2871	448	14	,	,	PUNCT
cana-2871	448	15	p.	p.	PROPN
cana-2871	448	16	,	,	PUNCT
cana-2871	448	17	dayalan	dayalan	PROPN
cana-2871	448	18	,	,	PUNCT
cana-2871	448	19	s.k	s.k	PROPN
cana-2871	448	20	.	.	PROPN
cana-2871	448	21	,	,	PUNCT
cana-2871	448	22	ramkumar	ramkumar	PROPN
cana-2871	448	23	,	,	PUNCT
cana-2871	448	24	c.	c.	PROPN
cana-2871	448	25	,	,	PUNCT
cana-2871	448	26	2024	2024	NUM
cana-2871	448	27	.	.	PUNCT
cana-2871	448	28	exploring	explore	VERB
cana-2871	448	29	tuberculosis	tuberculosis	NOUN
cana-2871	448	30	:	:	PUNCT
cana-2871	448	31	a	a	DET
cana-2871	448	32	theoretical	theoretical	ADJ
cana-2871	448	33	framework	framework	NOUN
cana-2871	448	34	for	for	ADP
cana-2871	448	35	infection	infection	NOUN
cana-2871	448	36	regulation	regulation	NOUN
cana-2871	448	37	and	and	CCONJ
cana-2871	448	38	eradication	eradication	NOUN
cana-2871	448	39	,	,	PUNCT
cana-2871	448	40	communications	communication	NOUN
cana-2871	448	41	on	on	ADP
cana-2871	448	42	applied	apply	VERB
cana-2871	448	43	nonlinear	nonlinear	NOUN
cana-2871	448	44	.	.	PUNCT
cana-2871	449	1	31(3s	31(3s	NUM
cana-2871	449	2	)	)	PUNCT
cana-2871	449	3	,	,	PUNCT
cana-2871	449	4	pp	pp	ADP
cana-2871	449	5	.	.	PUNCT
cana-2871	450	1	559–579	559–579	NUM
cana-2871	450	2	javascript	javascript	NOUN
cana-2871	450	3	:	:	PUNCT
cana-2871	450	4	;	;	PUNCT
cana-2871	450	5	javascript	javascript	NOUN
cana-2871	450	6	:	:	PUNCT
cana-2871	450	7	;	;	PUNCT
cana-2871	450	8	javascript	javascript	NOUN
cana-2871	450	9	:	:	PUNCT
cana-2871	450	10	;	;	PUNCT
cana-2871	450	11	javascript	javascript	NOUN
cana-2871	450	12	:	:	PUNCT
cana-2871	450	13	;	;	PUNCT
cana-2871	450	14	javascript	javascript	NOUN
cana-2871	450	15	:	:	PUNCT
cana-2871	450	16	;	;	PUNCT
cana-2871	450	17	javascript	javascript	NOUN
cana-2871	450	18	:	:	PUNCT
cana-2871	450	19	;	;	PUNCT
cana-2871	450	20	https://doi.org/10.1063/5.0189284	https://doi.org/10.1063/5.0189284	PROPN
cana-2871	450	21	https://www.scopus.com/authid/detail.uri?authorid=59202746300	https://www.scopus.com/authid/detail.uri?authorid=59202746300	PROPN
cana-2871	450	22	https://www.scopus.com/authid/detail.uri?authorid=59202301500	https://www.scopus.com/authid/detail.uri?authorid=59202301500	PROPN
cana-2871	450	23	https://www.scopus.com/authid/detail.uri?authorid=59202746300	https://www.scopus.com/authid/detail.uri?authorid=59202746300	PROPN
cana-2871	450	24	https://www.scopus.com/authid/detail.uri?authorid=58943994400	https://www.scopus.com/authid/detail.uri?authorid=58943994400	PROPN
cana-2871	450	25	https://www.scopus.com/authid/detail.uri?authorid=56622903500	https://www.scopus.com/authid/detail.uri?authorid=56622903500	PROPN