id	sid	tid	token	lemma	pos
cana-3617	1	1	communications	communication	NOUN
cana-3617	1	2	on	on	ADP
cana-3617	1	3	applied	apply	VERB
cana-3617	1	4	nonlinear	nonlinear	ADJ
cana-3617	1	5	analysis	analysis	NOUN
cana-3617	1	6	issn	issn	NOUN
cana-3617	1	7	:	:	PUNCT
cana-3617	1	8	1074	1074	NUM
cana-3617	1	9	-	-	PUNCT
cana-3617	1	10	133x	133x	NUM
cana-3617	1	11	vol	vol	NOUN
cana-3617	1	12	32	32	NUM
cana-3617	1	13	no	no	NOUN
cana-3617	1	14	.	.	PUNCT
cana-3617	2	1	8s	8s	PROPN
cana-3617	2	2	(	(	PUNCT
cana-3617	2	3	2025	2025	NUM
cana-3617	2	4	)	)	PUNCT
cana-3617	2	5	167	167	NUM
cana-3617	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3617	2	7	a	a	DET
cana-3617	2	8	study	study	NOUN
cana-3617	2	9	of	of	ADP
cana-3617	2	10	the	the	DET
cana-3617	2	11	population	population	NOUN
cana-3617	2	12	ecology	ecology	NOUN
cana-3617	2	13	of	of	ADP
cana-3617	2	14	asian	asian	ADJ
cana-3617	2	15	elephants	elephant	NOUN
cana-3617	2	16	in	in	ADP
cana-3617	2	17	using	use	VERB
cana-3617	2	18	the	the	DET
cana-3617	2	19	logistic	logistic	ADJ
cana-3617	2	20	growth	growth	NOUN
cana-3617	2	21	model	model	NOUN
cana-3617	2	22	1*ahamed	1*ahamed	NUM
cana-3617	2	23	amani	amani	PROPN
cana-3617	2	24	m	m	PROPN
cana-3617	2	25	,	,	PUNCT
cana-3617	2	26	2dr	2dr	ADJ
cana-3617	2	27	.	.	PUNCT
cana-3617	3	1	manoj	manoj	PROPN
cana-3617	3	2	kumar	kumar	PROPN
cana-3617	3	3	singh	singh	PROPN
cana-3617	3	4	1*phd	1*phd	NUM
cana-3617	3	5	scholar	scholar	NOUN
cana-3617	3	6	,	,	PUNCT
cana-3617	3	7	department	department	NOUN
cana-3617	3	8	of	of	ADP
cana-3617	3	9	mathematics	mathematics	PROPN
cana-3617	3	10	and	and	CCONJ
cana-3617	3	11	statistics	statistic	NOUN
cana-3617	3	12	banasthali	banasthali	PROPN
cana-3617	3	13	vidyapith	vidyapith	PROPN
cana-3617	3	14	,	,	PUNCT
cana-3617	3	15	rajasthan	rajasthan	PROPN
cana-3617	3	16	,	,	PUNCT
cana-3617	3	17	india	india	PROPN
cana-3617	3	18	2assistant	2assistant	PROPN
cana-3617	3	19	professor	professor	PROPN
cana-3617	3	20	department	department	PROPN
cana-3617	3	21	of	of	ADP
cana-3617	3	22	mathematics	mathematics	PROPN
cana-3617	3	23	and	and	CCONJ
cana-3617	3	24	statistics	statistic	NOUN
cana-3617	3	25	banasthali	banasthali	PROPN
cana-3617	3	26	vidyapith	vidyapith	PROPN
cana-3617	3	27	,	,	PUNCT
cana-3617	3	28	rajasthan	rajasthan	PROPN
cana-3617	3	29	,	,	PUNCT
cana-3617	3	30	india	india	PROPN
cana-3617	3	31	corresponding	corresponding	PROPN
cana-3617	3	32	author	author	NOUN
cana-3617	3	33	:	:	PUNCT
cana-3617	3	34	ahamedamani@gmail.com	ahamedamani@gmail.com	X
cana-3617	3	35	article	article	PROPN
cana-3617	3	36	history	history	NOUN
cana-3617	3	37	:	:	PUNCT
cana-3617	3	38	received	receive	VERB
cana-3617	3	39	:	:	PUNCT
cana-3617	3	40	28	28	NUM
cana-3617	3	41	-	-	SYM
cana-3617	3	42	10	10	NUM
cana-3617	3	43	-	-	PUNCT
cana-3617	3	44	2024	2024	NUM
cana-3617	3	45	revised	revise	VERB
cana-3617	3	46	:	:	PUNCT
cana-3617	3	47	18	18	NUM
cana-3617	3	48	-	-	SYM
cana-3617	3	49	11	11	NUM
cana-3617	3	50	-	-	PUNCT
cana-3617	3	51	2024	2024	NUM
cana-3617	3	52	accepted	accept	VERB
cana-3617	3	53	:	:	PUNCT
cana-3617	3	54	19	19	NUM
cana-3617	3	55	-	-	SYM
cana-3617	3	56	12	12	NUM
cana-3617	3	57	-	-	PUNCT
cana-3617	3	58	2024	2024	NUM
cana-3617	3	59	abstract	abstract	NOUN
cana-3617	3	60	:	:	PUNCT
cana-3617	3	61	india	india	PROPN
cana-3617	3	62	is	be	AUX
cana-3617	3	63	home	home	NOUN
cana-3617	3	64	to	to	ADP
cana-3617	3	65	almost	almost	ADV
cana-3617	3	66	60	60	NUM
cana-3617	3	67	percent	percent	NOUN
cana-3617	3	68	of	of	ADP
cana-3617	3	69	the	the	DET
cana-3617	3	70	world	world	NOUN
cana-3617	3	71	's	's	PART
cana-3617	3	72	asian	asian	ADJ
cana-3617	3	73	elephant	elephant	NOUN
cana-3617	3	74	population	population	NOUN
cana-3617	3	75	.	.	PUNCT
cana-3617	4	1	however	however	ADV
cana-3617	4	2	,	,	PUNCT
cana-3617	4	3	with	with	ADP
cana-3617	4	4	fewer	few	ADJ
cana-3617	4	5	than	than	ADP
cana-3617	4	6	52,000	52,000	NUM
cana-3617	4	7	asian	asian	ADJ
cana-3617	4	8	elephants	elephant	NOUN
cana-3617	4	9	left	leave	VERB
cana-3617	4	10	,	,	PUNCT
cana-3617	4	11	they	they	PRON
cana-3617	4	12	are	be	AUX
cana-3617	4	13	listed	list	VERB
cana-3617	4	14	as	as	ADP
cana-3617	4	15	endangered	endanger	VERB
cana-3617	4	16	species	specie	NOUN
cana-3617	4	17	on	on	ADP
cana-3617	4	18	the	the	DET
cana-3617	4	19	iucn	iucn	PROPN
cana-3617	4	20	(	(	PUNCT
cana-3617	4	21	international	international	PROPN
cana-3617	4	22	union	union	NOUN
cana-3617	4	23	for	for	ADP
cana-3617	4	24	conservation	conservation	NOUN
cana-3617	4	25	of	of	ADP
cana-3617	4	26	nature	nature	NOUN
cana-3617	4	27	)	)	PUNCT
cana-3617	4	28	red	red	ADJ
cana-3617	4	29	list	list	NOUN
cana-3617	4	30	.	.	PUNCT
cana-3617	5	1	as	as	ADP
cana-3617	5	2	keystone	keystone	PROPN
cana-3617	5	3	species	species	PROPN
cana-3617	5	4	,	,	PUNCT
cana-3617	5	5	elephants	elephant	NOUN
cana-3617	5	6	are	be	AUX
cana-3617	5	7	vital	vital	ADJ
cana-3617	5	8	in	in	ADP
cana-3617	5	9	maintaining	maintain	VERB
cana-3617	5	10	ecosystem	ecosystem	NOUN
cana-3617	5	11	balance	balance	NOUN
cana-3617	5	12	and	and	CCONJ
cana-3617	5	13	require	require	VERB
cana-3617	5	14	careful	careful	ADJ
cana-3617	5	15	management	management	NOUN
cana-3617	5	16	.	.	PUNCT
cana-3617	6	1	estimating	estimate	VERB
cana-3617	6	2	the	the	DET
cana-3617	6	3	population	population	NOUN
cana-3617	6	4	of	of	ADP
cana-3617	6	5	these	these	DET
cana-3617	6	6	endangered	endanger	VERB
cana-3617	6	7	animals	animal	NOUN
cana-3617	6	8	in	in	ADP
cana-3617	6	9	india	india	PROPN
cana-3617	6	10	is	be	AUX
cana-3617	6	11	challenging	challenge	VERB
cana-3617	6	12	due	due	ADJ
cana-3617	6	13	to	to	ADP
cana-3617	6	14	limited	limited	ADJ
cana-3617	6	15	resources	resource	NOUN
cana-3617	6	16	.	.	PUNCT
cana-3617	7	1	the	the	DET
cana-3617	7	2	optimal	optimal	ADJ
cana-3617	7	3	approach	approach	NOUN
cana-3617	7	4	to	to	PART
cana-3617	7	5	model	model	VERB
cana-3617	7	6	the	the	DET
cana-3617	7	7	population	population	NOUN
cana-3617	7	8	of	of	ADP
cana-3617	7	9	asian	asian	ADJ
cana-3617	7	10	elephants	elephant	NOUN
cana-3617	7	11	in	in	ADP
cana-3617	7	12	india	india	PROPN
cana-3617	7	13	using	use	VERB
cana-3617	7	14	available	available	ADJ
cana-3617	7	15	data	datum	NOUN
cana-3617	7	16	is	be	AUX
cana-3617	7	17	the	the	DET
cana-3617	7	18	logistic	logistic	ADJ
cana-3617	7	19	model	model	NOUN
cana-3617	7	20	.	.	PUNCT
cana-3617	8	1	this	this	DET
cana-3617	8	2	model	model	NOUN
cana-3617	8	3	will	will	AUX
cana-3617	8	4	provide	provide	VERB
cana-3617	8	5	the	the	DET
cana-3617	8	6	population	population	NOUN
cana-3617	8	7	count	count	NOUN
cana-3617	8	8	of	of	ADP
cana-3617	8	9	asian	asian	ADJ
cana-3617	8	10	elephants	elephant	NOUN
cana-3617	8	11	in	in	ADP
cana-3617	8	12	india	india	PROPN
cana-3617	8	13	and	and	CCONJ
cana-3617	8	14	help	help	VERB
cana-3617	8	15	establish	establish	VERB
cana-3617	8	16	the	the	DET
cana-3617	8	17	boundaries	boundary	NOUN
cana-3617	8	18	caused	cause	VERB
cana-3617	8	19	by	by	ADP
cana-3617	8	20	the	the	DET
cana-3617	8	21	assumptions	assumption	NOUN
cana-3617	8	22	of	of	ADP
cana-3617	8	23	the	the	DET
cana-3617	8	24	logistic	logistic	ADJ
cana-3617	8	25	model	model	NOUN
cana-3617	8	26	.	.	PUNCT
cana-3617	9	1	significantly	significantly	ADV
cana-3617	9	2	,	,	PUNCT
cana-3617	9	3	it	it	PRON
cana-3617	9	4	will	will	AUX
cana-3617	9	5	also	also	ADV
cana-3617	9	6	help	help	VERB
cana-3617	9	7	predict	predict	VERB
cana-3617	9	8	whether	whether	SCONJ
cana-3617	9	9	the	the	DET
cana-3617	9	10	population	population	NOUN
cana-3617	9	11	of	of	ADP
cana-3617	9	12	asian	asian	ADJ
cana-3617	9	13	elephants	elephant	NOUN
cana-3617	9	14	in	in	ADP
cana-3617	9	15	india	india	PROPN
cana-3617	9	16	has	have	AUX
cana-3617	9	17	stabilized	stabilize	VERB
cana-3617	9	18	or	or	CCONJ
cana-3617	9	19	is	be	AUX
cana-3617	9	20	likely	likely	ADJ
cana-3617	9	21	to	to	PART
cana-3617	9	22	do	do	VERB
cana-3617	9	23	so	so	ADV
cana-3617	9	24	,	,	PUNCT
cana-3617	9	25	shedding	shed	VERB
cana-3617	9	26	light	light	NOUN
cana-3617	9	27	on	on	ADP
cana-3617	9	28	the	the	DET
cana-3617	9	29	efforts	effort	NOUN
cana-3617	9	30	taken	take	VERB
cana-3617	9	31	by	by	ADP
cana-3617	9	32	the	the	DET
cana-3617	9	33	indian	indian	ADJ
cana-3617	9	34	authorities	authority	NOUN
cana-3617	9	35	in	in	ADP
cana-3617	9	36	the	the	DET
cana-3617	9	37	past	past	ADJ
cana-3617	9	38	decades	decade	NOUN
cana-3617	9	39	.	.	PUNCT
cana-3617	10	1	keywords	keyword	NOUN
cana-3617	10	2	:	:	PUNCT
cana-3617	10	3	population	population	NOUN
cana-3617	10	4	ecology	ecology	NOUN
cana-3617	10	5	,	,	PUNCT
cana-3617	10	6	mathematical	mathematical	ADJ
cana-3617	10	7	ecology	ecology	NOUN
cana-3617	10	8	,	,	PUNCT
cana-3617	10	9	evolution	evolution	NOUN
cana-3617	10	10	,	,	PUNCT
cana-3617	10	11	and	and	CCONJ
cana-3617	10	12	social	social	ADJ
cana-3617	10	13	sciences	science	NOUN
cana-3617	10	14	,	,	PUNCT
cana-3617	10	15	asian	asian	ADJ
cana-3617	10	16	elephant	elephant	NOUN
cana-3617	10	17	’s	’s	PART
cana-3617	10	18	population	population	NOUN
cana-3617	10	19	,	,	PUNCT
cana-3617	10	20	logistic	logistic	ADJ
cana-3617	10	21	model	model	NOUN
cana-3617	10	22	.	.	PUNCT
cana-3617	11	1	1	1	X
cana-3617	11	2	.	.	X
cana-3617	11	3	introduction	introduction	NOUN
cana-3617	11	4	what	what	PRON
cana-3617	11	5	do	do	VERB
cana-3617	11	6	asian	asian	ADJ
cana-3617	11	7	elephants	elephant	NOUN
cana-3617	11	8	,	,	PUNCT
cana-3617	11	9	pandas	panda	NOUN
cana-3617	11	10	,	,	PUNCT
cana-3617	11	11	rhinos	rhino	NOUN
cana-3617	11	12	,	,	PUNCT
cana-3617	11	13	and	and	CCONJ
cana-3617	11	14	gorillas	gorilla	NOUN
cana-3617	11	15	have	have	VERB
cana-3617	11	16	in	in	ADP
cana-3617	11	17	common	common	ADJ
cana-3617	11	18	?	?	PUNCT
cana-3617	12	1	they	they	PRON
cana-3617	12	2	are	be	AUX
cana-3617	12	3	all	all	ADV
cana-3617	12	4	endangered	endangered	ADJ
cana-3617	12	5	animals(williams	animals(william	NOUN
cana-3617	12	6	2020	2020	NUM
cana-3617	12	7	)	)	PUNCT
cana-3617	12	8	.	.	PUNCT
cana-3617	13	1	a	a	DET
cana-3617	13	2	species	species	NOUN
cana-3617	13	3	is	be	AUX
cana-3617	13	4	considered	consider	VERB
cana-3617	13	5	endangered	endanger	VERB
cana-3617	13	6	when	when	SCONJ
cana-3617	13	7	not	not	PART
cana-3617	13	8	many	many	ADJ
cana-3617	13	9	exist	exist	VERB
cana-3617	13	10	anymore	anymore	ADV
cana-3617	13	11	.	.	PUNCT
cana-3617	14	1	those	those	PRON
cana-3617	14	2	of	of	ADP
cana-3617	14	3	us	we	PRON
cana-3617	14	4	who	who	PRON
cana-3617	14	5	have	have	AUX
cana-3617	14	6	seen	see	VERB
cana-3617	14	7	these	these	DET
cana-3617	14	8	mammoth	mammoth	ADJ
cana-3617	14	9	elephants	elephant	NOUN
cana-3617	14	10	in	in	ADP
cana-3617	14	11	the	the	DET
cana-3617	14	12	wild	wild	NOUN
cana-3617	14	13	are	be	AUX
cana-3617	14	14	unlikely	unlikely	ADJ
cana-3617	14	15	to	to	PART
cana-3617	14	16	ever	ever	ADV
cana-3617	14	17	forget	forget	VERB
cana-3617	14	18	the	the	DET
cana-3617	14	19	experience	experience	NOUN
cana-3617	14	20	,	,	PUNCT
cana-3617	14	21	with	with	ADP
cana-3617	14	22	their	their	PRON
cana-3617	14	23	enormous	enormous	ADJ
cana-3617	14	24	padded	padded	ADJ
cana-3617	14	25	feet	foot	NOUN
cana-3617	14	26	that	that	PRON
cana-3617	14	27	carry	carry	VERB
cana-3617	14	28	them	they	PRON
cana-3617	14	29	silently	silently	ADV
cana-3617	14	30	through	through	ADP
cana-3617	14	31	the	the	DET
cana-3617	14	32	forest	forest	NOUN
cana-3617	14	33	,	,	PUNCT
cana-3617	14	34	huge	huge	ADJ
cana-3617	14	35	ears	ear	NOUN
cana-3617	14	36	that	that	PRON
cana-3617	14	37	help	help	VERB
cana-3617	14	38	dissipate	dissipate	VERB
cana-3617	14	39	heat	heat	NOUN
cana-3617	14	40	,	,	PUNCT
cana-3617	14	41	and	and	CCONJ
cana-3617	14	42	dexterous	dexterous	ADJ
cana-3617	14	43	trunks	trunk	NOUN
cana-3617	14	44	that	that	PRON
cana-3617	14	45	are	be	AUX
cana-3617	14	46	capable	capable	ADJ
cana-3617	14	47	of	of	ADP
cana-3617	14	48	tearing	tear	VERB
cana-3617	14	49	down	down	ADP
cana-3617	14	50	a	a	DET
cana-3617	14	51	tree	tree	NOUN
cana-3617	14	52	or	or	CCONJ
cana-3617	14	53	gracefully	gracefully	ADV
cana-3617	14	54	picking	pick	VERB
cana-3617	14	55	up	up	ADP
cana-3617	14	56	a	a	DET
cana-3617	14	57	peanut	peanut	NOUN
cana-3617	14	58	.	.	PUNCT
cana-3617	15	1	elephants	elephant	NOUN
cana-3617	15	2	are	be	AUX
cana-3617	15	3	a	a	DET
cana-3617	15	4	significant	significant	ADJ
cana-3617	15	5	and	and	CCONJ
cana-3617	15	6	enduring	endure	VERB
cana-3617	15	7	part	part	NOUN
cana-3617	15	8	of	of	ADP
cana-3617	15	9	human	human	ADJ
cana-3617	15	10	values	value	NOUN
cana-3617	15	11	and	and	CCONJ
cana-3617	15	12	experience	experience	NOUN
cana-3617	15	13	of	of	ADP
cana-3617	15	14	the	the	DET
cana-3617	15	15	earth(water	earth(water	PROPN
cana-3617	15	16	2022	2022	NUM
cana-3617	15	17	)	)	PUNCT
cana-3617	15	18	.	.	PUNCT
cana-3617	16	1	asian	asian	ADJ
cana-3617	16	2	elephants	elephant	NOUN
cana-3617	16	3	,	,	PUNCT
cana-3617	16	4	in	in	ADP
cana-3617	16	5	their	their	PRON
cana-3617	16	6	daily	daily	ADJ
cana-3617	16	7	wanderings	wandering	NOUN
cana-3617	16	8	,	,	PUNCT
cana-3617	16	9	disperse	disperse	ADJ
cana-3617	16	10	seeds	seed	NOUN
cana-3617	16	11	in	in	ADP
cana-3617	16	12	their	their	PRON
cana-3617	16	13	dung	dung	NOUN
cana-3617	16	14	from	from	ADP
cana-3617	16	15	the	the	DET
cana-3617	16	16	200	200	NUM
cana-3617	16	17	plant	plant	NOUN
cana-3617	16	18	species	specie	NOUN
cana-3617	16	19	they	they	PRON
cana-3617	16	20	eat	eat	VERB
cana-3617	16	21	(	(	PUNCT
cana-3617	16	22	stokstad	stokstad	NOUN
cana-3617	16	23	2017	2017	NUM
cana-3617	16	24	)	)	PUNCT
cana-3617	16	25	.	.	PUNCT
cana-3617	17	1	those	those	DET
cana-3617	17	2	seeds	seed	NOUN
cana-3617	17	3	grow	grow	VERB
cana-3617	17	4	into	into	ADP
cana-3617	17	5	trees	tree	NOUN
cana-3617	17	6	that	that	PRON
cana-3617	17	7	revitalize	revitalize	VERB
cana-3617	17	8	forests	forest	NOUN
cana-3617	17	9	,	,	PUNCT
cana-3617	17	10	giving	give	VERB
cana-3617	17	11	us	we	PRON
cana-3617	17	12	oxygen	oxygen	NOUN
cana-3617	17	13	to	to	PART
cana-3617	17	14	breathe	breathe	VERB
cana-3617	17	15	and	and	CCONJ
cana-3617	17	16	take	take	VERB
cana-3617	17	17	in	in	ADP
cana-3617	17	18	carbon	carbon	NOUN
cana-3617	17	19	dioxide	dioxide	NOUN
cana-3617	17	20	.	.	PUNCT
cana-3617	18	1	asian	asian	ADJ
cana-3617	18	2	elephants	elephant	NOUN
cana-3617	18	3	live	live	VERB
cana-3617	18	4	in	in	ADP
cana-3617	18	5	tightly	tightly	ADV
cana-3617	18	6	-	-	PUNCT
cana-3617	18	7	knit	knit	VERB
cana-3617	18	8	family	family	NOUN
cana-3617	18	9	groups	group	NOUN
cana-3617	18	10	where	where	SCONJ
cana-3617	18	11	the	the	DET
cana-3617	18	12	female	female	ADJ
cana-3617	18	13	works	work	VERB
cana-3617	18	14	together	together	ADV
cana-3617	18	15	to	to	PART
cana-3617	18	16	raise	raise	VERB
cana-3617	18	17	young	young	ADJ
cana-3617	18	18	and	and	CCONJ
cana-3617	18	19	accumulate	accumulate	VERB
cana-3617	18	20	social	social	ADJ
cana-3617	18	21	and	and	CCONJ
cana-3617	18	22	ecological	ecological	ADJ
cana-3617	18	23	knowledge	knowledge	NOUN
cana-3617	18	24	passed	pass	VERB
cana-3617	18	25	from	from	ADP
cana-3617	18	26	generation	generation	NOUN
cana-3617	18	27	to	to	ADP
cana-3617	18	28	generation	generation	NOUN
cana-3617	18	29	.	.	PUNCT
cana-3617	19	1	elephants	elephant	NOUN
cana-3617	19	2	maintain	maintain	VERB
cana-3617	19	3	complex	complex	ADJ
cana-3617	19	4	social	social	ADJ
cana-3617	19	5	relationships	relationship	NOUN
cana-3617	19	6	,	,	PUNCT
cana-3617	19	7	a	a	DET
cana-3617	19	8	cognitively	cognitively	ADV
cana-3617	19	9	highly	highly	ADV
cana-3617	19	10	demanding	demanding	ADJ
cana-3617	19	11	task	task	NOUN
cana-3617	19	12	that	that	PRON
cana-3617	19	13	puts	put	VERB
cana-3617	19	14	them	they	PRON
cana-3617	19	15	on	on	ADP
cana-3617	19	16	par	par	NOUN
cana-3617	19	17	with	with	ADP
cana-3617	19	18	other	other	ADJ
cana-3617	19	19	intelligent	intelligent	ADJ
cana-3617	19	20	animals	animal	NOUN
cana-3617	19	21	like	like	ADP
cana-3617	19	22	bottlenose	bottlenose	ADJ
cana-3617	19	23	dolphins	dolphin	NOUN
cana-3617	19	24	and	and	CCONJ
cana-3617	19	25	chimpanzees	chimpanzee	NOUN
cana-3617	19	26	.	.	PUNCT
cana-3617	20	1	their	their	PRON
cana-3617	20	2	intelligence	intelligence	NOUN
cana-3617	20	3	is	be	AUX
cana-3617	20	4	legendary	legendary	ADJ
cana-3617	20	5	,	,	PUNCT
cana-3617	20	6	and	and	CCONJ
cana-3617	20	7	they	they	PRON
cana-3617	20	8	are	be	AUX
cana-3617	20	9	considered	consider	VERB
cana-3617	20	10	icons	icon	NOUN
cana-3617	20	11	of	of	ADP
cana-3617	20	12	wisdom	wisdom	NOUN
cana-3617	20	13	across	across	ADP
cana-3617	20	14	human	human	ADJ
cana-3617	20	15	cultures(water	cultures(water	PROPN
cana-3617	20	16	2022	2022	NUM
cana-3617	20	17	)	)	PUNCT
cana-3617	20	18	.	.	PUNCT
cana-3617	21	1	they	they	PRON
cana-3617	21	2	are	be	AUX
cana-3617	21	3	a	a	DET
cana-3617	21	4	charismatic	charismatic	ADJ
cana-3617	21	5	species	specie	NOUN
cana-3617	21	6	that	that	PRON
cana-3617	21	7	evoke	evoke	VERB
cana-3617	21	8	strong	strong	ADJ
cana-3617	21	9	emotions	emotion	NOUN
cana-3617	21	10	in	in	ADP
cana-3617	21	11	people	people	NOUN
cana-3617	21	12	.	.	PUNCT
cana-3617	22	1	the	the	DET
cana-3617	22	2	elephant	elephant	NOUN
cana-3617	22	3	is	be	AUX
cana-3617	22	4	a	a	DET
cana-3617	22	5	keystone	keystone	NOUN
cana-3617	22	6	species	specie	NOUN
cana-3617	22	7	that	that	PRON
cana-3617	22	8	is	be	AUX
cana-3617	22	9	pivotal	pivotal	ADJ
cana-3617	22	10	in	in	ADP
cana-3617	22	11	maintaining	maintain	VERB
cana-3617	22	12	ecosystem	ecosystem	NOUN
cana-3617	22	13	equilibrium	equilibrium	NOUN
cana-3617	22	14	.	.	PUNCT
cana-3617	23	1	therefore	therefore	ADV
cana-3617	23	2	,	,	PUNCT
cana-3617	23	3	it	it	PRON
cana-3617	23	4	necessitates	necessitate	VERB
cana-3617	23	5	meticulous	meticulous	ADJ
cana-3617	23	6	management	management	NOUN
cana-3617	23	7	.	.	PUNCT
cana-3617	24	1	furthermore	furthermore	ADV
cana-3617	24	2	,	,	PUNCT
cana-3617	24	3	these	these	DET
cana-3617	24	4	creatures	creature	NOUN
cana-3617	24	5	possess	possess	VERB
cana-3617	24	6	substantial	substantial	ADJ
cana-3617	24	7	economic	economic	ADJ
cana-3617	24	8	significance	significance	NOUN
cana-3617	24	9	and	and	CCONJ
cana-3617	24	10	are	be	AUX
cana-3617	24	11	crucial	crucial	ADJ
cana-3617	24	12	in	in	ADP
cana-3617	24	13	shaping	shape	VERB
cana-3617	24	14	the	the	DET
cana-3617	24	15	habitat	habitat	NOUN
cana-3617	24	16	.	.	PUNCT
cana-3617	25	1	despite	despite	SCONJ
cana-3617	25	2	their	their	PRON
cana-3617	25	3	immense	immense	ADJ
cana-3617	25	4	intrinsic	intrinsic	ADJ
cana-3617	25	5	and	and	CCONJ
cana-3617	25	6	ecological	ecological	ADJ
cana-3617	25	7	value	value	NOUN
cana-3617	25	8	,	,	PUNCT
cana-3617	25	9	we	we	PRON
cana-3617	25	10	have	have	AUX
cana-3617	25	11	lost	lose	VERB
cana-3617	25	12	half	half	NOUN
cana-3617	25	13	of	of	ADP
cana-3617	25	14	the	the	DET
cana-3617	25	15	world	world	NOUN
cana-3617	25	16	's	's	PART
cana-3617	25	17	asian	asian	ADJ
cana-3617	25	18	elephants	elephant	NOUN
cana-3617	25	19	in	in	ADP
cana-3617	25	20	less	less	ADJ
cana-3617	25	21	than	than	ADP
cana-3617	25	22	75	75	NUM
cana-3617	25	23	years	year	NOUN
cana-3617	25	24	,	,	PUNCT
cana-3617	25	25	and	and	CCONJ
cana-3617	25	26	fewer	few	ADJ
cana-3617	25	27	than	than	ADP
cana-3617	25	28	50,000	50,000	NUM
cana-3617	25	29	now	now	ADV
cana-3617	25	30	remain	remain	VERB
cana-3617	25	31	relegated	relegated	ADJ
cana-3617	25	32	to	to	ADP
cana-3617	25	33	tiny	tiny	ADJ
cana-3617	25	34	habitat	habitat	NOUN
cana-3617	25	35	patches(hannah	patches(hannah	PROPN
cana-3617	25	36	2022	2022	NUM
cana-3617	25	37	)	)	PUNCT
cana-3617	25	38	.	.	PUNCT
cana-3617	26	1	if	if	SCONJ
cana-3617	26	2	we	we	PRON
cana-3617	26	3	do	do	AUX
cana-3617	26	4	not	not	PART
cana-3617	26	5	act	act	VERB
cana-3617	26	6	now	now	ADV
cana-3617	26	7	,	,	PUNCT
cana-3617	26	8	we	we	PRON
cana-3617	26	9	may	may	AUX
cana-3617	26	10	soon	soon	ADV
cana-3617	26	11	have	have	VERB
cana-3617	26	12	to	to	PART
cana-3617	26	13	deal	deal	VERB
cana-3617	26	14	with	with	ADP
cana-3617	26	15	their	their	PRON
cana-3617	26	16	extinction	extinction	NOUN
cana-3617	26	17	and	and	CCONJ
cana-3617	26	18	its	its	PRON
cana-3617	26	19	ecological	ecological	ADJ
cana-3617	26	20	and	and	CCONJ
cana-3617	26	21	communications	communication	NOUN
cana-3617	26	22	on	on	ADP
cana-3617	26	23	applied	apply	VERB
cana-3617	26	24	nonlinear	nonlinear	ADJ
cana-3617	26	25	analysis	analysis	NOUN
cana-3617	26	26	issn	issn	NOUN
cana-3617	26	27	:	:	PUNCT
cana-3617	26	28	1074	1074	NUM
cana-3617	26	29	-	-	PUNCT
cana-3617	26	30	133x	133x	NUM
cana-3617	26	31	vol	vol	NOUN
cana-3617	26	32	32	32	NUM
cana-3617	26	33	no	no	NOUN
cana-3617	26	34	.	.	PUNCT
cana-3617	27	1	8s	8s	PROPN
cana-3617	27	2	(	(	PUNCT
cana-3617	27	3	2025	2025	NUM
cana-3617	27	4	)	)	PUNCT
cana-3617	27	5	168	168	NUM
cana-3617	27	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3617	27	7	cultural	cultural	ADJ
cana-3617	27	8	consequences	consequence	NOUN
cana-3617	27	9	.	.	PUNCT
cana-3617	28	1	although	although	SCONJ
cana-3617	28	2	poaching	poach	VERB
cana-3617	28	3	is	be	AUX
cana-3617	28	4	a	a	DET
cana-3617	28	5	threat	threat	NOUN
cana-3617	28	6	to	to	ADP
cana-3617	28	7	asian	asian	ADJ
cana-3617	28	8	elephants	elephant	NOUN
cana-3617	28	9	,	,	PUNCT
cana-3617	28	10	the	the	DET
cana-3617	28	11	destruction	destruction	NOUN
cana-3617	28	12	of	of	ADP
cana-3617	28	13	their	their	PRON
cana-3617	28	14	habitat	habitat	NOUN
cana-3617	28	15	is	be	AUX
cana-3617	28	16	a	a	DET
cana-3617	28	17	far	far	ADV
cana-3617	28	18	greater	great	ADJ
cana-3617	28	19	threat	threat	NOUN
cana-3617	28	20	to	to	PART
cana-3617	28	21	overlook	overlook	VERB
cana-3617	28	22	.	.	PUNCT
cana-3617	29	1	asian	asian	ADJ
cana-3617	29	2	elephants	elephant	NOUN
cana-3617	29	3	once	once	ADV
cana-3617	29	4	roamed	roam	VERB
cana-3617	29	5	9	9	NUM
cana-3617	29	6	million	million	NUM
cana-3617	29	7	square	square	ADJ
cana-3617	29	8	kilometers	kilometer	NOUN
cana-3617	29	9	from	from	ADP
cana-3617	29	10	modern	modern	ADJ
cana-3617	29	11	-	-	PUNCT
cana-3617	29	12	day	day	NOUN
cana-3617	29	13	iraq	iraq	PROPN
cana-3617	29	14	east	east	PROPN
cana-3617	29	15	to	to	ADP
cana-3617	29	16	china	china	PROPN
cana-3617	29	17	's	's	PART
cana-3617	29	18	yancey	yancey	PROPN
cana-3617	29	19	river	river	PROPN
cana-3617	29	20	and	and	CCONJ
cana-3617	29	21	south	south	NOUN
cana-3617	29	22	to	to	ADP
cana-3617	29	23	the	the	DET
cana-3617	29	24	island	island	NOUN
cana-3617	29	25	of	of	ADP
cana-3617	29	26	sumatra(people	sumatra(people	PROPN
cana-3617	29	27	's	's	PART
cana-3617	29	28	trust	trust	NOUN
cana-3617	29	29	for	for	ADP
cana-3617	29	30	endangered	endangered	PROPN
cana-3617	29	31	species	species	PROPN
cana-3617	29	32	n.d	n.d	PROPN
cana-3617	29	33	.	.	PROPN
cana-3617	29	34	)	)	PUNCT
cana-3617	29	35	.	.	PUNCT
cana-3617	30	1	now	now	ADV
cana-3617	30	2	,	,	PUNCT
cana-3617	30	3	they	they	PRON
cana-3617	30	4	are	be	AUX
cana-3617	30	5	squeezed	squeeze	VERB
cana-3617	30	6	into	into	ADP
cana-3617	30	7	just	just	ADV
cana-3617	30	8	5	5	NUM
cana-3617	30	9	percent	percent	NOUN
cana-3617	30	10	of	of	ADP
cana-3617	30	11	the	the	DET
cana-3617	30	12	historical	historical	ADJ
cana-3617	30	13	territory	territory	NOUN
cana-3617	30	14	and	and	CCONJ
cana-3617	30	15	are	be	AUX
cana-3617	30	16	extinct	extinct	ADJ
cana-3617	30	17	in	in	ADP
cana-3617	30	18	the	the	DET
cana-3617	30	19	middle	middle	PROPN
cana-3617	30	20	east	east	PROPN
cana-3617	30	21	and	and	CCONJ
cana-3617	30	22	most	most	ADJ
cana-3617	30	23	of	of	ADP
cana-3617	30	24	china(people	china(people	PROPN
cana-3617	30	25	's	's	PART
cana-3617	30	26	trust	trust	NOUN
cana-3617	30	27	for	for	ADP
cana-3617	30	28	endangered	endangered	PROPN
cana-3617	30	29	species	species	PROPN
cana-3617	30	30	n.d	n.d	PROPN
cana-3617	30	31	.	.	PROPN
cana-3617	30	32	)	)	PUNCT
cana-3617	30	33	.	.	PUNCT
cana-3617	31	1	in	in	ADP
cana-3617	31	2	some	some	DET
cana-3617	31	3	areas	area	NOUN
cana-3617	31	4	,	,	PUNCT
cana-3617	31	5	elephants	elephant	NOUN
cana-3617	31	6	are	be	AUX
cana-3617	31	7	enslaved	enslave	VERB
cana-3617	31	8	and	and	CCONJ
cana-3617	31	9	forced	force	VERB
cana-3617	31	10	to	to	PART
cana-3617	31	11	destroy	destroy	VERB
cana-3617	31	12	their	their	PRON
cana-3617	31	13	forest	forest	NOUN
cana-3617	31	14	habitata	habitata	NOUN
cana-3617	31	15	twisted	twist	VERB
cana-3617	31	16	fate	fate	NOUN
cana-3617	31	17	for	for	ADP
cana-3617	31	18	one	one	NUM
cana-3617	31	19	of	of	ADP
cana-3617	31	20	the	the	DET
cana-3617	31	21	world	world	NOUN
cana-3617	31	22	's	's	PART
cana-3617	31	23	most	most	ADV
cana-3617	31	24	intelligent	intelligent	ADJ
cana-3617	31	25	creatures	creature	NOUN
cana-3617	31	26	.	.	PUNCT
cana-3617	32	1	due	due	ADP
cana-3617	32	2	to	to	ADP
cana-3617	32	3	skyrocketing	skyrocket	VERB
cana-3617	32	4	human	human	ADJ
cana-3617	32	5	population	population	NOUN
cana-3617	32	6	growth	growth	NOUN
cana-3617	32	7	that	that	PRON
cana-3617	32	8	has	have	AUX
cana-3617	32	9	led	lead	VERB
cana-3617	32	10	to	to	ADP
cana-3617	32	11	the	the	DET
cana-3617	32	12	clear	clear	ADV
cana-3617	32	13	-	-	PUNCT
cana-3617	32	14	cutting	cutting	NOUN
cana-3617	32	15	of	of	ADP
cana-3617	32	16	millions	million	NOUN
cana-3617	32	17	of	of	ADP
cana-3617	32	18	hectares	hectare	NOUN
cana-3617	32	19	of	of	ADP
cana-3617	32	20	forest	forest	NOUN
cana-3617	32	21	,	,	PUNCT
cana-3617	32	22	scientists	scientist	NOUN
cana-3617	32	23	say	say	VERB
cana-3617	32	24	that	that	SCONJ
cana-3617	32	25	asian	asian	ADJ
cana-3617	32	26	elephants	elephant	NOUN
cana-3617	32	27	will	will	AUX
cana-3617	32	28	lose	lose	VERB
cana-3617	32	29	half	half	NOUN
cana-3617	32	30	of	of	ADP
cana-3617	32	31	their	their	PRON
cana-3617	32	32	remaining	remain	VERB
cana-3617	32	33	range	range	NOUN
cana-3617	32	34	before	before	ADP
cana-3617	32	35	2070	2070	NUM
cana-3617	32	36	if	if	SCONJ
cana-3617	32	37	they	they	PRON
cana-3617	32	38	are	be	AUX
cana-3617	32	39	not	not	PART
cana-3617	32	40	protected(rahul	protected(rahul	PROPN
cana-3617	32	41	de	de	NOUN
cana-3617	32	42	2021	2021	NUM
cana-3617	32	43	)	)	PUNCT
cana-3617	32	44	.	.	PUNCT
cana-3617	33	1	moreover	moreover	ADV
cana-3617	33	2	,	,	PUNCT
cana-3617	33	3	because	because	SCONJ
cana-3617	33	4	of	of	ADP
cana-3617	33	5	their	their	PRON
cana-3617	33	6	shrinking	shrink	VERB
cana-3617	33	7	habitat	habitat	NOUN
cana-3617	33	8	,	,	PUNCT
cana-3617	33	9	asian	asian	ADJ
cana-3617	33	10	elephants	elephant	NOUN
cana-3617	33	11	are	be	AUX
cana-3617	33	12	increasingly	increasingly	ADV
cana-3617	33	13	coming	come	VERB
cana-3617	33	14	into	into	ADP
cana-3617	33	15	conflict	conflict	NOUN
cana-3617	33	16	with	with	ADP
cana-3617	33	17	humans	human	NOUN
cana-3617	33	18	,	,	PUNCT
cana-3617	33	19	forced	force	VERB
cana-3617	33	20	to	to	PART
cana-3617	33	21	search	search	VERB
cana-3617	33	22	for	for	ADP
cana-3617	33	23	food	food	NOUN
cana-3617	33	24	in	in	ADP
cana-3617	33	25	human	human	ADJ
cana-3617	33	26	landscapes	landscape	NOUN
cana-3617	33	27	.	.	PUNCT
cana-3617	34	1	the	the	DET
cana-3617	34	2	likely	likely	ADJ
cana-3617	34	3	dispersal	dispersal	NOUN
cana-3617	34	4	area	area	NOUN
cana-3617	34	5	of	of	ADP
cana-3617	34	6	asian	asian	ADJ
cana-3617	34	7	elephants	elephant	NOUN
cana-3617	34	8	overlaps	overlap	VERB
cana-3617	34	9	with	with	ADP
cana-3617	34	10	regions	region	NOUN
cana-3617	34	11	occupied	occupy	VERB
cana-3617	34	12	by	by	ADP
cana-3617	34	13	55.25	55.25	NUM
cana-3617	34	14	million	million	NUM
cana-3617	34	15	people	people	NOUN
cana-3617	34	16	,	,	PUNCT
cana-3617	34	17	including	include	VERB
cana-3617	34	18	6.07	6.07	NUM
cana-3617	34	19	million	million	NUM
cana-3617	34	20	in	in	ADP
cana-3617	34	21	highly	highly	ADV
cana-3617	34	22	appropriate	appropriate	ADJ
cana-3617	34	23	habitats	habitat	NOUN
cana-3617	34	24	.	.	PUNCT
cana-3617	35	1	due	due	ADP
cana-3617	35	2	to	to	ADP
cana-3617	35	3	the	the	DET
cana-3617	35	4	significant	significant	ADJ
cana-3617	35	5	number	number	NOUN
cana-3617	35	6	of	of	ADP
cana-3617	35	7	people	people	NOUN
cana-3617	35	8	living	live	VERB
cana-3617	35	9	in	in	ADP
cana-3617	35	10	potentially	potentially	ADV
cana-3617	35	11	suitable	suitable	ADJ
cana-3617	35	12	elephant	elephant	NOUN
cana-3617	35	13	habitats	habitat	NOUN
cana-3617	35	14	,	,	PUNCT
cana-3617	35	15	it	it	PRON
cana-3617	35	16	is	be	AUX
cana-3617	35	17	crucial	crucial	ADJ
cana-3617	35	18	to	to	PART
cana-3617	35	19	implement	implement	VERB
cana-3617	35	20	proactive	proactive	ADJ
cana-3617	35	21	measures	measure	NOUN
cana-3617	35	22	to	to	PART
cana-3617	35	23	mitigate	mitigate	VERB
cana-3617	35	24	human	human	ADJ
cana-3617	35	25	-	-	PUNCT
cana-3617	35	26	elephant	elephant	NOUN
cana-3617	35	27	conflict	conflict	NOUN
cana-3617	35	28	(	(	PUNCT
cana-3617	35	29	hec	hec	PROPN
cana-3617	35	30	)	)	PUNCT
cana-3617	35	31	in	in	ADP
cana-3617	35	32	high	high	ADJ
cana-3617	35	33	-	-	PUNCT
cana-3617	35	34	risk	risk	NOUN
cana-3617	35	35	areas	area	NOUN
cana-3617	35	36	like	like	ADP
cana-3617	35	37	india	india	PROPN
cana-3617	35	38	and	and	CCONJ
cana-3617	35	39	malaysia	malaysia	PROPN
cana-3617	35	40	(	(	PUNCT
cana-3617	35	41	haixia	haixia	NOUN
cana-3617	35	42	xu	xu	PROPN
cana-3617	35	43	2024	2024	NUM
cana-3617	35	44	)	)	PUNCT
cana-3617	35	45	.	.	PUNCT
cana-3617	36	1	wildlife	wildlife	NOUN
cana-3617	36	2	corridors	corridor	NOUN
cana-3617	36	3	,	,	PUNCT
cana-3617	36	4	the	the	DET
cana-3617	36	5	vital	vital	ADJ
cana-3617	36	6	links	link	NOUN
cana-3617	36	7	that	that	PRON
cana-3617	36	8	unite	unite	VERB
cana-3617	36	9	diverse	diverse	ADJ
cana-3617	36	10	elephant	elephant	NOUN
cana-3617	36	11	habitats	habitat	NOUN
cana-3617	36	12	across	across	ADP
cana-3617	36	13	india	india	PROPN
cana-3617	36	14	,	,	PUNCT
cana-3617	36	15	enable	enable	VERB
cana-3617	36	16	these	these	DET
cana-3617	36	17	magnificent	magnificent	ADJ
cana-3617	36	18	creatures	creature	NOUN
cana-3617	36	19	to	to	PART
cana-3617	36	20	migrate	migrate	VERB
cana-3617	36	21	and	and	CCONJ
cana-3617	36	22	socialize	socialize	VERB
cana-3617	36	23	.	.	PUNCT
cana-3617	37	1	regular	regular	ADJ
cana-3617	37	2	monitoring	monitoring	NOUN
cana-3617	37	3	of	of	ADP
cana-3617	37	4	these	these	DET
cana-3617	37	5	corridors	corridor	NOUN
cana-3617	37	6	is	be	AUX
cana-3617	37	7	not	not	PART
cana-3617	37	8	just	just	ADV
cana-3617	37	9	important	important	ADJ
cana-3617	37	10	;	;	PUNCT
cana-3617	37	11	it	it	PRON
cana-3617	37	12	's	be	AUX
cana-3617	37	13	indispensable	indispensable	ADJ
cana-3617	37	14	.	.	PUNCT
cana-3617	38	1	it	it	PRON
cana-3617	38	2	provides	provide	VERB
cana-3617	38	3	insights	insight	NOUN
cana-3617	38	4	into	into	ADP
cana-3617	38	5	elephants	elephant	NOUN
cana-3617	38	6	'	'	PART
cana-3617	38	7	behavior	behavior	NOUN
cana-3617	38	8	,	,	PUNCT
cana-3617	38	9	helps	help	VERB
cana-3617	38	10	us	we	PRON
cana-3617	38	11	understand	understand	VERB
cana-3617	38	12	their	their	PRON
cana-3617	38	13	needs	need	NOUN
cana-3617	38	14	,	,	PUNCT
cana-3617	38	15	and	and	CCONJ
cana-3617	38	16	allows	allow	VERB
cana-3617	38	17	us	we	PRON
cana-3617	38	18	to	to	PART
cana-3617	38	19	address	address	VERB
cana-3617	38	20	any	any	DET
cana-3617	38	21	human	human	NOUN
cana-3617	38	22	-	-	PUNCT
cana-3617	38	23	induced	induce	VERB
cana-3617	38	24	risks	risk	NOUN
cana-3617	38	25	that	that	PRON
cana-3617	38	26	could	could	AUX
cana-3617	38	27	jeopardize	jeopardize	VERB
cana-3617	38	28	their	their	PRON
cana-3617	38	29	future	future	NOUN
cana-3617	38	30	.	.	PUNCT
cana-3617	39	1	a	a	DET
cana-3617	39	2	study	study	NOUN
cana-3617	39	3	by	by	ADP
cana-3617	39	4	avinash	avinash	PROPN
cana-3617	39	5	krishnan	krishnan	PROPN
cana-3617	39	6	's	's	PART
cana-3617	39	7	team	team	NOUN
cana-3617	39	8	found	find	VERB
cana-3617	39	9	that	that	SCONJ
cana-3617	39	10	elephants	elephant	NOUN
cana-3617	39	11	heavily	heavily	ADV
cana-3617	39	12	use	use	VERB
cana-3617	39	13	certain	certain	ADJ
cana-3617	39	14	areas	area	NOUN
cana-3617	39	15	of	of	ADP
cana-3617	39	16	the	the	DET
cana-3617	39	17	park	park	NOUN
cana-3617	39	18	,	,	PUNCT
cana-3617	39	19	especially	especially	ADV
cana-3617	39	20	those	those	PRON
cana-3617	39	21	that	that	PRON
cana-3617	39	22	cover	cover	VERB
cana-3617	39	23	natural	natural	ADJ
cana-3617	39	24	habitats	habitat	NOUN
cana-3617	39	25	rather	rather	ADV
cana-3617	39	26	than	than	ADP
cana-3617	39	27	human	human	NOUN
cana-3617	39	28	-	-	PUNCT
cana-3617	39	29	dominated	dominate	VERB
cana-3617	39	30	land	land	NOUN
cana-3617	39	31	.	.	PUNCT
cana-3617	40	1	however	however	ADV
cana-3617	40	2	,	,	PUNCT
cana-3617	40	3	these	these	DET
cana-3617	40	4	areas	area	NOUN
cana-3617	40	5	are	be	AUX
cana-3617	40	6	under	under	ADP
cana-3617	40	7	high	high	ADJ
cana-3617	40	8	human	human	ADJ
cana-3617	40	9	pressure	pressure	NOUN
cana-3617	40	10	,	,	PUNCT
cana-3617	40	11	showing	show	VERB
cana-3617	40	12	the	the	DET
cana-3617	40	13	need	need	NOUN
cana-3617	40	14	for	for	ADP
cana-3617	40	15	ongoing	ongoing	ADJ
cana-3617	40	16	efforts	effort	NOUN
cana-3617	40	17	to	to	PART
cana-3617	40	18	preserve	preserve	VERB
cana-3617	40	19	their	their	PRON
cana-3617	40	20	function	function	NOUN
cana-3617	40	21	as	as	ADP
cana-3617	40	22	elephant	elephant	NOUN
cana-3617	40	23	corridors(avinash	corridors(avinash	PROPN
cana-3617	40	24	krishnan	krishnan	PROPN
cana-3617	40	25	2023	2023	NUM
cana-3617	40	26	)	)	PUNCT
cana-3617	40	27	.	.	PUNCT
cana-3617	41	1	we	we	PRON
cana-3617	41	2	can	can	AUX
cana-3617	41	3	no	no	ADV
cana-3617	41	4	longer	long	ADV
cana-3617	41	5	attribute	attribute	VERB
cana-3617	41	6	species	species	NOUN
cana-3617	41	7	extinction	extinction	NOUN
cana-3617	41	8	to	to	ADP
cana-3617	41	9	natural	natural	ADJ
cana-3617	41	10	causes	cause	NOUN
cana-3617	41	11	such	such	ADJ
cana-3617	41	12	as	as	ADP
cana-3617	41	13	earthquakes	earthquake	NOUN
cana-3617	41	14	or	or	CCONJ
cana-3617	41	15	droughts	drought	NOUN
cana-3617	41	16	.	.	PUNCT
cana-3617	42	1	today	today	NOUN
cana-3617	42	2	,	,	PUNCT
cana-3617	42	3	many	many	ADJ
cana-3617	42	4	plants	plant	NOUN
cana-3617	42	5	and	and	CCONJ
cana-3617	42	6	animals	animal	NOUN
cana-3617	42	7	are	be	AUX
cana-3617	42	8	becoming	becoming	AUX
cana-3617	42	9	endangered	endanger	VERB
cana-3617	42	10	or	or	CCONJ
cana-3617	42	11	extinct	extinct	ADJ
cana-3617	42	12	because	because	SCONJ
cana-3617	42	13	of	of	ADP
cana-3617	42	14	habitat	habitat	ADJ
cana-3617	42	15	destruction	destruction	NOUN
cana-3617	42	16	,	,	PUNCT
cana-3617	42	17	over	over	ADP
cana-3617	42	18	-	-	PUNCT
cana-3617	42	19	harvesting	harvesting	NOUN
cana-3617	42	20	,	,	PUNCT
cana-3617	42	21	and	and	CCONJ
cana-3617	42	22	poaching	poach	VERB
cana-3617	42	23	.	.	PUNCT
cana-3617	43	1	it	it	PRON
cana-3617	43	2	is	be	AUX
cana-3617	43	3	vital	vital	ADJ
cana-3617	43	4	to	to	PART
cana-3617	43	5	start	start	VERB
cana-3617	43	6	repairing	repair	VERB
cana-3617	43	7	the	the	DET
cana-3617	43	8	damage	damage	NOUN
cana-3617	43	9	done	do	VERB
cana-3617	43	10	to	to	ADP
cana-3617	43	11	nature	nature	NOUN
cana-3617	43	12	.	.	PUNCT
cana-3617	44	1	animal	animal	NOUN
cana-3617	44	2	and	and	CCONJ
cana-3617	44	3	plant	plant	NOUN
cana-3617	44	4	extinction	extinction	NOUN
cana-3617	44	5	can	can	AUX
cana-3617	44	6	ruin	ruin	VERB
cana-3617	44	7	the	the	DET
cana-3617	44	8	ecosystem	ecosystem	NOUN
cana-3617	44	9	and	and	CCONJ
cana-3617	44	10	reduce	reduce	VERB
cana-3617	44	11	biodiversity	biodiversity	NOUN
cana-3617	44	12	.	.	PUNCT
cana-3617	45	1	all	all	DET
cana-3617	45	2	creatures	creature	NOUN
cana-3617	45	3	are	be	AUX
cana-3617	45	4	part	part	NOUN
cana-3617	45	5	of	of	ADP
cana-3617	45	6	an	an	DET
cana-3617	45	7	ecosystem	ecosystem	NOUN
cana-3617	45	8	,	,	PUNCT
cana-3617	45	9	and	and	CCONJ
cana-3617	45	10	they	they	PRON
cana-3617	45	11	all	all	PRON
cana-3617	45	12	help	help	VERB
cana-3617	45	13	humans	human	NOUN
cana-3617	45	14	in	in	ADP
cana-3617	45	15	some	some	DET
cana-3617	45	16	way	way	NOUN
cana-3617	45	17	.	.	PUNCT
cana-3617	46	1	for	for	ADP
cana-3617	46	2	example	example	NOUN
cana-3617	46	3	,	,	PUNCT
cana-3617	46	4	over	over	ADP
cana-3617	46	5	50	50	NUM
cana-3617	46	6	%	%	NOUN
cana-3617	46	7	of	of	ADP
cana-3617	46	8	the	the	DET
cana-3617	46	9	medicines	medicine	NOUN
cana-3617	46	10	currently	currently	ADV
cana-3617	46	11	used	use	VERB
cana-3617	46	12	are	be	AUX
cana-3617	46	13	derived	derive	VERB
cana-3617	46	14	from	from	ADP
cana-3617	46	15	a	a	DET
cana-3617	46	16	natural	natural	ADJ
cana-3617	46	17	product	product	NOUN
cana-3617	46	18	made	make	VERB
cana-3617	46	19	from	from	ADP
cana-3617	46	20	animals	animal	NOUN
cana-3617	46	21	or	or	CCONJ
cana-3617	46	22	plants	plant	NOUN
cana-3617	46	23	.	.	PUNCT
cana-3617	47	1	by	by	ADP
cana-3617	47	2	losing	lose	VERB
cana-3617	47	3	biodiversity	biodiversity	NOUN
cana-3617	47	4	,	,	PUNCT
cana-3617	47	5	we	we	PRON
cana-3617	47	6	are	be	AUX
cana-3617	47	7	losing	lose	VERB
cana-3617	47	8	the	the	DET
cana-3617	47	9	chance	chance	NOUN
cana-3617	47	10	to	to	PART
cana-3617	47	11	discover	discover	VERB
cana-3617	47	12	a	a	DET
cana-3617	47	13	new	new	ADJ
cana-3617	47	14	medication	medication	NOUN
cana-3617	47	15	that	that	PRON
cana-3617	47	16	could	could	AUX
cana-3617	47	17	save	save	VERB
cana-3617	47	18	the	the	DET
cana-3617	47	19	lives	life	NOUN
cana-3617	47	20	of	of	ADP
cana-3617	47	21	millions	million	NOUN
cana-3617	47	22	of	of	ADP
cana-3617	47	23	people	people	NOUN
cana-3617	47	24	each	each	DET
cana-3617	47	25	year(veeresham	year(veeresham	PROPN
cana-3617	47	26	2012	2012	NUM
cana-3617	47	27	)	)	PUNCT
cana-3617	47	28	.	.	PUNCT
cana-3617	48	1	ullas	ullas	PROPN
cana-3617	48	2	karanth	karanth	PROPN
cana-3617	48	3	,	,	PUNCT
cana-3617	48	4	the	the	DET
cana-3617	48	5	director	director	NOUN
cana-3617	48	6	for	for	ADP
cana-3617	48	7	science	science	NOUN
cana-3617	48	8	-	-	PUNCT
cana-3617	48	9	asia	asia	PROPN
cana-3617	48	10	at	at	ADP
cana-3617	48	11	the	the	DET
cana-3617	48	12	wildlife	wildlife	NOUN
cana-3617	48	13	conservation	conservation	NOUN
cana-3617	48	14	society	society	NOUN
cana-3617	48	15	in	in	ADP
cana-3617	48	16	bronx	bronx	PROPN
cana-3617	48	17	,	,	PUNCT
cana-3617	48	18	new	new	PROPN
cana-3617	48	19	york	york	PROPN
cana-3617	48	20	,	,	PUNCT
cana-3617	48	21	believes	believe	VERB
cana-3617	48	22	that	that	SCONJ
cana-3617	48	23	modern	modern	ADJ
cana-3617	48	24	science	science	NOUN
cana-3617	48	25	demonstrates	demonstrate	VERB
cana-3617	48	26	the	the	DET
cana-3617	48	27	urgent	urgent	ADJ
cana-3617	48	28	need	need	NOUN
cana-3617	48	29	to	to	PART
cana-3617	48	30	assist	assist	VERB
cana-3617	48	31	in	in	ADP
cana-3617	48	32	wildlife	wildlife	NOUN
cana-3617	48	33	recovery	recovery	NOUN
cana-3617	48	34	for	for	ADP
cana-3617	48	35	our	our	PRON
cana-3617	48	36	benefit(karanth	benefit(karanth	PROPN
cana-3617	48	37	2018	2018	NUM
cana-3617	48	38	)	)	PUNCT
cana-3617	48	39	.	.	PUNCT
cana-3617	49	1	the	the	DET
cana-3617	49	2	area	area	NOUN
cana-3617	49	3	of	of	ADP
cana-3617	49	4	study	study	NOUN
cana-3617	49	5	that	that	PRON
cana-3617	49	6	analyzes	analyze	VERB
cana-3617	49	7	changes	change	NOUN
cana-3617	49	8	in	in	ADP
cana-3617	49	9	population	population	NOUN
cana-3617	49	10	over	over	ADP
cana-3617	49	11	time	time	NOUN
cana-3617	49	12	is	be	AUX
cana-3617	49	13	known	know	VERB
cana-3617	49	14	as	as	ADP
cana-3617	49	15	population	population	NOUN
cana-3617	49	16	dynamics	dynamic	NOUN
cana-3617	49	17	.	.	PUNCT
cana-3617	50	1	in	in	ADP
cana-3617	50	2	this	this	DET
cana-3617	50	3	case	case	NOUN
cana-3617	50	4	,	,	PUNCT
cana-3617	50	5	our	our	PRON
cana-3617	50	6	focus	focus	NOUN
cana-3617	50	7	is	be	AUX
cana-3617	50	8	on	on	ADP
cana-3617	50	9	examining	examine	VERB
cana-3617	50	10	population	population	NOUN
cana-3617	50	11	trends	trend	NOUN
cana-3617	50	12	among	among	ADP
cana-3617	50	13	asian	asian	ADJ
cana-3617	50	14	elephants	elephant	NOUN
cana-3617	50	15	in	in	ADP
cana-3617	50	16	india.to	india.to	PROPN
cana-3617	50	17	understand	understand	VERB
cana-3617	50	18	the	the	DET
cana-3617	50	19	process	process	NOUN
cana-3617	50	20	by	by	ADP
cana-3617	50	21	which	which	PRON
cana-3617	50	22	the	the	DET
cana-3617	50	23	population	population	NOUN
cana-3617	50	24	of	of	ADP
cana-3617	50	25	any	any	DET
cana-3617	50	26	species	specie	NOUN
cana-3617	50	27	either	either	CCONJ
cana-3617	50	28	increases	increase	NOUN
cana-3617	50	29	or	or	CCONJ
cana-3617	50	30	decreases	decrease	NOUN
cana-3617	50	31	or	or	CCONJ
cana-3617	50	32	is	be	AUX
cana-3617	50	33	static	static	ADJ
cana-3617	50	34	,	,	PUNCT
cana-3617	50	35	the	the	DET
cana-3617	50	36	three	three	NUM
cana-3617	50	37	main	main	ADJ
cana-3617	50	38	factors	factor	NOUN
cana-3617	50	39	to	to	PART
cana-3617	50	40	be	be	AUX
cana-3617	50	41	considered	consider	VERB
cana-3617	50	42	are	be	AUX
cana-3617	50	43	fertility	fertility	NOUN
cana-3617	50	44	,	,	PUNCT
cana-3617	50	45	mortality	mortality	NOUN
cana-3617	50	46	,	,	PUNCT
cana-3617	50	47	and	and	CCONJ
cana-3617	50	48	migration	migration	NOUN
cana-3617	50	49	.	.	PUNCT
cana-3617	51	1	migration	migration	NOUN
cana-3617	51	2	may	may	AUX
cana-3617	51	3	become	become	VERB
cana-3617	51	4	less	less	ADV
cana-3617	51	5	significant	significant	ADJ
cana-3617	51	6	in	in	ADP
cana-3617	51	7	the	the	DET
cana-3617	51	8	case	case	NOUN
cana-3617	51	9	of	of	ADP
cana-3617	51	10	endangered	endangered	ADJ
cana-3617	51	11	animals	animal	NOUN
cana-3617	51	12	,	,	PUNCT
cana-3617	51	13	as	as	SCONJ
cana-3617	51	14	there	there	PRON
cana-3617	51	15	is	be	VERB
cana-3617	51	16	already	already	ADV
cana-3617	51	17	a	a	DET
cana-3617	51	18	reduced	reduced	ADJ
cana-3617	51	19	population	population	NOUN
cana-3617	51	20	,	,	PUNCT
cana-3617	51	21	and	and	CCONJ
cana-3617	51	22	it	it	PRON
cana-3617	51	23	will	will	AUX
cana-3617	51	24	make	make	VERB
cana-3617	51	25	little	little	ADJ
cana-3617	51	26	difference	difference	NOUN
cana-3617	51	27	in	in	ADP
cana-3617	51	28	the	the	DET
cana-3617	51	29	total	total	ADJ
cana-3617	51	30	population	population	NOUN
cana-3617	51	31	.	.	PUNCT
cana-3617	52	1	as	as	SCONJ
cana-3617	52	2	population	population	NOUN
cana-3617	52	3	dynamics	dynamic	NOUN
cana-3617	52	4	work	work	VERB
cana-3617	52	5	on	on	ADP
cana-3617	52	6	a	a	DET
cana-3617	52	7	system	system	NOUN
cana-3617	52	8	-	-	PUNCT
cana-3617	52	9	based	base	VERB
cana-3617	52	10	approach	approach	NOUN
cana-3617	52	11	,	,	PUNCT
cana-3617	52	12	we	we	PRON
cana-3617	52	13	can	can	AUX
cana-3617	52	14	categorize	categorize	VERB
cana-3617	52	15	the	the	DET
cana-3617	52	16	study	study	NOUN
cana-3617	52	17	into	into	ADP
cana-3617	52	18	two	two	NUM
cana-3617	52	19	components	component	NOUN
cana-3617	52	20	.	.	PUNCT
cana-3617	53	1	the	the	DET
cana-3617	53	2	first	first	ADJ
cana-3617	53	3	component	component	NOUN
cana-3617	53	4	quantitatively	quantitatively	ADV
cana-3617	53	5	describes	describe	VERB
cana-3617	53	6	changes	change	NOUN
cana-3617	53	7	in	in	ADP
cana-3617	53	8	population	population	NOUN
cana-3617	53	9	size	size	NOUN
cana-3617	53	10	and	and	CCONJ
cana-3617	53	11	growth	growth	NOUN
cana-3617	53	12	or	or	CCONJ
cana-3617	53	13	decline	decline	VERB
cana-3617	53	14	for	for	ADP
cana-3617	53	15	a	a	DET
cana-3617	53	16	particular	particular	ADJ
cana-3617	53	17	organism	organism	NOUN
cana-3617	53	18	.	.	PUNCT
cana-3617	54	1	the	the	DET
cana-3617	54	2	second	second	ADJ
cana-3617	54	3	component	component	NOUN
cana-3617	54	4	is	be	AUX
cana-3617	54	5	investigating	investigate	VERB
cana-3617	54	6	the	the	DET
cana-3617	54	7	biological	biological	ADJ
cana-3617	54	8	and	and	CCONJ
cana-3617	54	9	physical	physical	ADJ
cana-3617	54	10	processes	process	NOUN
cana-3617	54	11	causing	cause	VERB
cana-3617	54	12	these	these	DET
cana-3617	54	13	changes	change	NOUN
cana-3617	54	14	.	.	PUNCT
cana-3617	55	1	we	we	PRON
cana-3617	55	2	are	be	AUX
cana-3617	55	3	to	to	PART
cana-3617	55	4	rely	rely	VERB
cana-3617	55	5	on	on	ADP
cana-3617	55	6	mathematical	mathematical	ADJ
cana-3617	55	7	modeling	modeling	NOUN
cana-3617	55	8	through	through	ADP
cana-3617	55	9	differential	differential	ADJ
cana-3617	55	10	equations	equation	NOUN
cana-3617	55	11	to	to	PART
cana-3617	55	12	achieve	achieve	VERB
cana-3617	55	13	this	this	PRON
cana-3617	55	14	.	.	PUNCT
cana-3617	56	1	the	the	DET
cana-3617	56	2	study	study	NOUN
cana-3617	56	3	of	of	ADP
cana-3617	56	4	animal	animal	NOUN
cana-3617	56	5	populations	population	NOUN
cana-3617	56	6	involves	involve	VERB
cana-3617	56	7	creating	create	VERB
cana-3617	56	8	mathematical	mathematical	ADJ
cana-3617	56	9	models	model	NOUN
cana-3617	56	10	for	for	ADP
cana-3617	56	11	different	different	ADJ
cana-3617	56	12	species	specie	NOUN
cana-3617	56	13	living	live	VERB
cana-3617	56	14	in	in	ADP
cana-3617	56	15	various	various	ADJ
cana-3617	56	16	environments	environment	NOUN
cana-3617	56	17	.	.	PUNCT
cana-3617	57	1	environmental	environmental	ADJ
cana-3617	57	2	and	and	CCONJ
cana-3617	57	3	physical	physical	ADJ
cana-3617	57	4	parameters	parameter	NOUN
cana-3617	57	5	are	be	AUX
cana-3617	57	6	crucial	crucial	ADJ
cana-3617	57	7	in	in	ADP
cana-3617	57	8	developing	develop	VERB
cana-3617	57	9	precise	precise	ADJ
cana-3617	57	10	mathematical	mathematical	ADJ
cana-3617	57	11	models	model	NOUN
cana-3617	57	12	for	for	ADP
cana-3617	57	13	various	various	ADJ
cana-3617	57	14	animal	animal	NOUN
cana-3617	57	15	and	and	CCONJ
cana-3617	57	16	microbial	microbial	ADJ
cana-3617	57	17	populations	population	NOUN
cana-3617	57	18	.	.	PUNCT
cana-3617	58	1	these	these	DET
cana-3617	58	2	models	model	NOUN
cana-3617	58	3	often	often	ADV
cana-3617	58	4	involve	involve	VERB
cana-3617	58	5	nonlinear	nonlinear	ADJ
cana-3617	58	6	differential	differential	NOUN
cana-3617	58	7	and	and	CCONJ
cana-3617	58	8	difference	difference	NOUN
cana-3617	58	9	equations	equation	NOUN
cana-3617	58	10	,	,	PUNCT
cana-3617	58	11	and	and	CCONJ
cana-3617	58	12	they	they	PRON
cana-3617	58	13	consider	consider	VERB
cana-3617	58	14	factors	factor	NOUN
cana-3617	58	15	such	such	ADJ
cana-3617	58	16	as	as	ADP
cana-3617	58	17	growth	growth	NOUN
cana-3617	58	18	,	,	PUNCT
cana-3617	58	19	reproduction	reproduction	NOUN
cana-3617	58	20	,	,	PUNCT
cana-3617	58	21	communications	communication	NOUN
cana-3617	58	22	on	on	ADP
cana-3617	58	23	applied	apply	VERB
cana-3617	58	24	nonlinear	nonlinear	ADJ
cana-3617	58	25	analysis	analysis	NOUN
cana-3617	58	26	issn	issn	NOUN
cana-3617	58	27	:	:	PUNCT
cana-3617	58	28	1074	1074	NUM
cana-3617	58	29	-	-	PUNCT
cana-3617	58	30	133x	133x	NUM
cana-3617	58	31	vol	vol	NOUN
cana-3617	58	32	32	32	NUM
cana-3617	58	33	no	no	NOUN
cana-3617	58	34	.	.	PUNCT
cana-3617	59	1	8s	8s	PROPN
cana-3617	59	2	(	(	PUNCT
cana-3617	59	3	2025	2025	NUM
cana-3617	59	4	)	)	PUNCT
cana-3617	59	5	169	169	NUM
cana-3617	59	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-3617	59	7	decay	decay	NOUN
cana-3617	59	8	,	,	PUNCT
cana-3617	59	9	death	death	NOUN
cana-3617	59	10	,	,	PUNCT
cana-3617	59	11	and	and	CCONJ
cana-3617	59	12	migration	migration	NOUN
cana-3617	59	13	between	between	ADP
cana-3617	59	14	different	different	ADJ
cana-3617	59	15	domains	domain	NOUN
cana-3617	59	16	.	.	PUNCT
cana-3617	60	1	in	in	ADP
cana-3617	60	2	his	his	PRON
cana-3617	60	3	paper	paper	NOUN
cana-3617	60	4	,	,	PUNCT
cana-3617	60	5	vinod	vinod	PROPN
cana-3617	60	6	p.	p.	PROPN
cana-3617	60	7	saxena	saxena	PROPN
cana-3617	60	8	examines	examine	VERB
cana-3617	60	9	interacting	interact	VERB
cana-3617	60	10	and	and	CCONJ
cana-3617	60	11	non	non	ADJ
cana-3617	60	12	-	-	ADJ
cana-3617	60	13	interacting	interacting	ADJ
cana-3617	60	14	living	live	VERB
cana-3617	60	15	beings	being	NOUN
cana-3617	60	16	while	while	SCONJ
cana-3617	60	17	considering	consider	VERB
cana-3617	60	18	these	these	DET
cana-3617	60	19	essential	essential	ADJ
cana-3617	60	20	factors	factor	NOUN
cana-3617	60	21	.	.	PUNCT
cana-3617	61	1	he	he	PRON
cana-3617	61	2	uses	use	VERB
cana-3617	61	3	cutting	cutting	NOUN
cana-3617	61	4	-	-	PUNCT
cana-3617	61	5	edge	edge	NOUN
cana-3617	61	6	mathematical	mathematical	ADJ
cana-3617	61	7	means	mean	NOUN
cana-3617	61	8	to	to	PART
cana-3617	61	9	study	study	VERB
cana-3617	61	10	and	and	CCONJ
cana-3617	61	11	predict	predict	VERB
cana-3617	61	12	environmental	environmental	ADJ
cana-3617	61	13	and	and	CCONJ
cana-3617	61	14	topographical	topographical	ADJ
cana-3617	61	15	impacts	impact	NOUN
cana-3617	61	16	while	while	SCONJ
cana-3617	61	17	considering	consider	VERB
cana-3617	61	18	population	population	NOUN
cana-3617	61	19	dispersion	dispersion	NOUN
cana-3617	61	20	in	in	ADP
cana-3617	61	21	specific	specific	ADJ
cana-3617	61	22	scenarios(saxena	scenarios(saxena	PROPN
cana-3617	61	23	2023	2023	NUM
cana-3617	61	24	)	)	PUNCT
cana-3617	61	25	.	.	PUNCT
cana-3617	62	1	differential	differential	ADJ
cana-3617	62	2	equations	equation	NOUN
cana-3617	62	3	are	be	AUX
cana-3617	62	4	the	the	DET
cana-3617	62	5	best	good	ADJ
cana-3617	62	6	tool	tool	NOUN
cana-3617	62	7	for	for	ADP
cana-3617	62	8	modeling	model	VERB
cana-3617	62	9	such	such	DET
cana-3617	62	10	a	a	DET
cana-3617	62	11	system	system	NOUN
cana-3617	62	12	when	when	SCONJ
cana-3617	62	13	discussing	discuss	VERB
cana-3617	62	14	changes	change	NOUN
cana-3617	62	15	.	.	PUNCT
cana-3617	63	1	vito	vito	PROPN
cana-3617	63	2	volterra	volterra	PROPN
cana-3617	63	3	and	and	CCONJ
cana-3617	63	4	alfred	alfred	PROPN
cana-3617	63	5	lotka	lotka	PROPN
cana-3617	63	6	independently	independently	ADV
cana-3617	63	7	developed	develop	VERB
cana-3617	63	8	differential	differential	ADJ
cana-3617	63	9	equations	equation	NOUN
cana-3617	63	10	to	to	PART
cana-3617	63	11	describe	describe	VERB
cana-3617	63	12	species	specie	NOUN
cana-3617	63	13	dynamics(levin	dynamics(levin	PROPN
cana-3617	63	14	2021	2021	NUM
cana-3617	63	15	)	)	PUNCT
cana-3617	63	16	.	.	PUNCT
cana-3617	64	1	the	the	DET
cana-3617	64	2	most	most	ADV
cana-3617	64	3	critical	critical	ADJ
cana-3617	64	4	application	application	NOUN
cana-3617	64	5	of	of	ADP
cana-3617	64	6	differential	differential	ADJ
cana-3617	64	7	equations	equation	NOUN
cana-3617	64	8	is	be	AUX
cana-3617	64	9	modeling	model	VERB
cana-3617	64	10	various	various	ADJ
cana-3617	64	11	physical	physical	ADJ
cana-3617	64	12	and	and	CCONJ
cana-3617	64	13	natural	natural	ADJ
cana-3617	64	14	phenomena	phenomenon	NOUN
cana-3617	64	15	.	.	PUNCT
cana-3617	65	1	any	any	DET
cana-3617	65	2	engineering	engineering	NOUN
cana-3617	65	3	or	or	CCONJ
cana-3617	65	4	social	social	ADJ
cana-3617	65	5	science	science	NOUN
cana-3617	65	6	problem	problem	NOUN
cana-3617	65	7	can	can	AUX
cana-3617	65	8	be	be	AUX
cana-3617	65	9	solved	solve	VERB
cana-3617	65	10	by	by	ADP
cana-3617	65	11	formulating	formulate	VERB
cana-3617	65	12	it	it	PRON
cana-3617	65	13	into	into	ADP
cana-3617	65	14	a	a	DET
cana-3617	65	15	mathematical	mathematical	ADJ
cana-3617	65	16	representation	representation	NOUN
cana-3617	65	17	called	call	VERB
cana-3617	65	18	a	a	DET
cana-3617	65	19	model	model	NOUN
cana-3617	65	20	.	.	PUNCT
cana-3617	66	1	modeling	modeling	NOUN
cana-3617	66	2	is	be	AUX
cana-3617	66	3	about	about	ADP
cana-3617	66	4	setting	set	VERB
cana-3617	66	5	up	up	ADP
cana-3617	66	6	a	a	DET
cana-3617	66	7	model	model	NOUN
cana-3617	66	8	to	to	PART
cana-3617	66	9	solve	solve	VERB
cana-3617	66	10	it	it	PRON
cana-3617	66	11	mathematically	mathematically	ADV
cana-3617	66	12	and	and	CCONJ
cana-3617	66	13	interpreting	interpret	VERB
cana-3617	66	14	the	the	DET
cana-3617	66	15	results	result	NOUN
cana-3617	66	16	.	.	PUNCT
cana-3617	67	1	the	the	DET
cana-3617	67	2	purpose	purpose	NOUN
cana-3617	67	3	of	of	ADP
cana-3617	67	4	a	a	DET
cana-3617	67	5	mathematical	mathematical	ADJ
cana-3617	67	6	model	model	NOUN
cana-3617	67	7	is	be	AUX
cana-3617	67	8	to	to	PART
cana-3617	67	9	understand	understand	VERB
cana-3617	67	10	a	a	DET
cana-3617	67	11	specific	specific	ADJ
cana-3617	67	12	phenomenon	phenomenon	NOUN
cana-3617	67	13	and	and	CCONJ
cana-3617	67	14	to	to	PART
cana-3617	67	15	make	make	VERB
cana-3617	67	16	predictions	prediction	NOUN
cana-3617	67	17	about	about	ADP
cana-3617	67	18	the	the	DET
cana-3617	67	19	behavior	behavior	NOUN
cana-3617	67	20	or	or	CCONJ
cana-3617	67	21	outcome	outcome	NOUN
cana-3617	67	22	of	of	ADP
cana-3617	67	23	a	a	DET
cana-3617	67	24	system	system	NOUN
cana-3617	67	25	,	,	PUNCT
cana-3617	67	26	event	event	NOUN
cana-3617	67	27	,	,	PUNCT
cana-3617	67	28	or	or	CCONJ
cana-3617	67	29	quantity	quantity	NOUN
cana-3617	67	30	.	.	PUNCT
cana-3617	68	1	the	the	DET
cana-3617	68	2	flow	flow	NOUN
cana-3617	68	3	chart	chart	NOUN
cana-3617	68	4	below	below	ADV
cana-3617	68	5	illustrates	illustrate	VERB
cana-3617	68	6	the	the	DET
cana-3617	68	7	modeling	modeling	NOUN
cana-3617	68	8	process	process	NOUN
cana-3617	68	9	used	use	VERB
cana-3617	68	10	in	in	ADP
cana-3617	68	11	this	this	DET
cana-3617	68	12	study	study	NOUN
cana-3617	68	13	to	to	PART
cana-3617	68	14	model	model	VERB
cana-3617	68	15	the	the	DET
cana-3617	68	16	population	population	NOUN
cana-3617	68	17	of	of	ADP
cana-3617	68	18	asian	asian	ADJ
cana-3617	68	19	elephants	elephant	NOUN
cana-3617	68	20	in	in	ADP
cana-3617	68	21	india	india	PROPN
cana-3617	68	22	.	.	PUNCT
cana-3617	69	1	through	through	ADP
cana-3617	69	2	the	the	DET
cana-3617	69	3	mathematical	mathematical	ADJ
cana-3617	69	4	models	model	NOUN
cana-3617	69	5	generated	generate	VERB
cana-3617	69	6	with	with	ADP
cana-3617	69	7	the	the	DET
cana-3617	69	8	ideas	idea	NOUN
cana-3617	69	9	of	of	ADP
cana-3617	69	10	population	population	NOUN
cana-3617	69	11	dynamics	dynamic	NOUN
cana-3617	69	12	,	,	PUNCT
cana-3617	69	13	we	we	PRON
cana-3617	69	14	can	can	AUX
cana-3617	69	15	quickly	quickly	ADV
cana-3617	69	16	establish	establish	VERB
cana-3617	69	17	the	the	DET
cana-3617	69	18	equilibrium	equilibrium	NOUN
cana-3617	69	19	state	state	NOUN
cana-3617	69	20	and	and	CCONJ
cana-3617	69	21	the	the	DET
cana-3617	69	22	stability	stability	NOUN
cana-3617	69	23	of	of	ADP
cana-3617	69	24	these	these	DET
cana-3617	69	25	models	model	NOUN
cana-3617	69	26	as	as	SCONJ
cana-3617	69	27	they	they	PRON
cana-3617	69	28	are	be	AUX
cana-3617	69	29	critical	critical	ADJ
cana-3617	69	30	knowledge	knowledge	NOUN
cana-3617	69	31	of	of	ADP
cana-3617	69	32	the	the	DET
cana-3617	69	33	system	system	NOUN
cana-3617	69	34	,	,	PUNCT
cana-3617	69	35	which	which	PRON
cana-3617	69	36	helps	help	VERB
cana-3617	69	37	make	make	VERB
cana-3617	69	38	predictions	prediction	NOUN
cana-3617	69	39	more	more	ADV
cana-3617	69	40	accurate	accurate	ADJ
cana-3617	69	41	.	.	PUNCT
cana-3617	70	1	in	in	ADP
cana-3617	70	2	some	some	DET
cana-3617	70	3	cases	case	NOUN
cana-3617	70	4	,	,	PUNCT
cana-3617	70	5	we	we	PRON
cana-3617	70	6	might	might	AUX
cana-3617	70	7	use	use	VERB
cana-3617	70	8	the	the	DET
cana-3617	70	9	idea	idea	NOUN
cana-3617	70	10	of	of	ADP
cana-3617	70	11	a	a	DET
cana-3617	70	12	difference	difference	NOUN
cana-3617	70	13	equation	equation	NOUN
cana-3617	70	14	coupled	couple	VERB
cana-3617	70	15	with	with	ADP
cana-3617	70	16	a	a	DET
cana-3617	70	17	differential	differential	ADJ
cana-3617	70	18	equation	equation	NOUN
cana-3617	70	19	,	,	PUNCT
cana-3617	70	20	as	as	SCONJ
cana-3617	70	21	the	the	DET
cana-3617	70	22	data	datum	NOUN
cana-3617	70	23	obtained	obtain	VERB
cana-3617	70	24	is	be	AUX
cana-3617	70	25	more	more	ADV
cana-3617	70	26	likely	likely	ADJ
cana-3617	70	27	to	to	PART
cana-3617	70	28	be	be	AUX
cana-3617	70	29	discrete	discrete	ADJ
cana-3617	70	30	.	.	PUNCT
cana-3617	71	1	this	this	PRON
cana-3617	71	2	is	be	AUX
cana-3617	71	3	the	the	DET
cana-3617	71	4	case	case	NOUN
cana-3617	71	5	of	of	ADP
cana-3617	71	6	the	the	DET
cana-3617	71	7	population	population	NOUN
cana-3617	71	8	data	datum	NOUN
cana-3617	71	9	of	of	ADP
cana-3617	71	10	asia	asia	PROPN
cana-3617	71	11	elephants	elephant	NOUN
cana-3617	71	12	;	;	PUNCT
cana-3617	71	13	they	they	PRON
cana-3617	71	14	are	be	AUX
cana-3617	71	15	discrete	discrete	ADJ
cana-3617	71	16	and	and	CCONJ
cana-3617	71	17	limited	limited	ADJ
cana-3617	71	18	.	.	PUNCT
cana-3617	72	1	therefore	therefore	ADV
cana-3617	72	2	,	,	PUNCT
cana-3617	72	3	the	the	DET
cana-3617	72	4	focus	focus	NOUN
cana-3617	72	5	of	of	ADP
cana-3617	72	6	this	this	DET
cana-3617	72	7	paper	paper	NOUN
cana-3617	72	8	is	be	AUX
cana-3617	72	9	to	to	PART
cana-3617	72	10	apply	apply	VERB
cana-3617	72	11	the	the	DET
cana-3617	72	12	logistic	logistic	ADJ
cana-3617	72	13	growth	growth	NOUN
cana-3617	72	14	model	model	NOUN
cana-3617	72	15	to	to	ADP
cana-3617	72	16	the	the	DET
cana-3617	72	17	available	available	ADJ
cana-3617	72	18	data	datum	NOUN
cana-3617	72	19	on	on	ADP
cana-3617	72	20	asia	asia	PROPN
cana-3617	72	21	elephants	elephant	NOUN
cana-3617	72	22	and	and	CCONJ
cana-3617	72	23	establish	establish	VERB
cana-3617	72	24	the	the	DET
cana-3617	72	25	limitations	limitation	NOUN
cana-3617	72	26	of	of	ADP
cana-3617	72	27	the	the	DET
cana-3617	72	28	logistic	logistic	ADJ
cana-3617	72	29	model	model	NOUN
cana-3617	72	30	and	and	CCONJ
cana-3617	72	31	hence	hence	ADV
cana-3617	72	32	indicate	indicate	VERB
cana-3617	72	33	the	the	DET
cana-3617	72	34	error	error	NOUN
cana-3617	72	35	made	make	VERB
cana-3617	72	36	in	in	ADP
cana-3617	72	37	the	the	DET
cana-3617	72	38	inference	inference	NOUN
cana-3617	72	39	of	of	ADP
cana-3617	72	40	the	the	DET
cana-3617	72	41	specific	specific	ADJ
cana-3617	72	42	form	form	NOUN
cana-3617	72	43	of	of	ADP
cana-3617	72	44	the	the	DET
cana-3617	72	45	function	function	NOUN
cana-3617	72	46	that	that	PRON
cana-3617	72	47	is	be	AUX
cana-3617	72	48	used	use	VERB
cana-3617	72	49	to	to	PART
cana-3617	72	50	calculate	calculate	VERB
cana-3617	72	51	the	the	DET
cana-3617	72	52	population	population	NOUN
cana-3617	72	53	of	of	ADP
cana-3617	72	54	the	the	DET
cana-3617	72	55	asian	asian	ADJ
cana-3617	72	56	elephants	elephant	NOUN
cana-3617	72	57	in	in	ADP
cana-3617	72	58	india	india	PROPN
cana-3617	72	59	.	.	PUNCT
cana-3617	73	1	through	through	ADP
cana-3617	73	2	this	this	DET
cana-3617	73	3	model	model	NOUN
cana-3617	73	4	,	,	PUNCT
cana-3617	73	5	we	we	PRON
cana-3617	73	6	can	can	AUX
cana-3617	73	7	forecast	forecast	VERB
cana-3617	73	8	the	the	DET
cana-3617	73	9	population	population	NOUN
cana-3617	73	10	trends	trend	NOUN
cana-3617	73	11	of	of	ADP
cana-3617	73	12	indian	indian	ADJ
cana-3617	73	13	asian	asian	ADJ
cana-3617	73	14	elephants	elephant	NOUN
cana-3617	73	15	and	and	CCONJ
cana-3617	73	16	analyze	analyze	VERB
cana-3617	73	17	the	the	DET
cana-3617	73	18	population	population	NOUN
cana-3617	73	19	patterns	pattern	NOUN
cana-3617	73	20	.	.	PUNCT
cana-3617	74	1	the	the	DET
cana-3617	74	2	von	von	PROPN
cana-3617	74	3	bertalanffy	bertalanffy	PROPN
cana-3617	74	4	growth	growth	PROPN
cana-3617	74	5	function	function	NOUN
cana-3617	74	6	(	(	PUNCT
cana-3617	74	7	vbgf	vbgf	NOUN
cana-3617	74	8	)	)	PUNCT
cana-3617	74	9	is	be	AUX
cana-3617	74	10	a	a	DET
cana-3617	74	11	special	special	ADJ
cana-3617	74	12	case	case	NOUN
cana-3617	74	13	of	of	ADP
cana-3617	74	14	the	the	DET
cana-3617	74	15	generalized	generalize	VERB
cana-3617	74	16	logistic	logistic	ADJ
cana-3617	74	17	function	function	NOUN
cana-3617	74	18	used	use	VERB
cana-3617	74	19	to	to	PART
cana-3617	74	20	model	model	VERB
cana-3617	74	21	the	the	DET
cana-3617	74	22	growth	growth	NOUN
cana-3617	74	23	of	of	ADP
cana-3617	74	24	a	a	DET
cana-3617	74	25	time	time	NOUN
cana-3617	74	26	series	series	NOUN
cana-3617	74	27	.	.	PUNCT
cana-3617	75	1	it	it	PRON
cana-3617	75	2	is	be	AUX
cana-3617	75	3	named	name	VERB
cana-3617	75	4	after	after	ADP
cana-3617	75	5	the	the	DET
cana-3617	75	6	austrian	austrian	ADJ
cana-3617	75	7	biologist	biologist	NOUN
cana-3617	75	8	ludwig	ludwig	PROPN
cana-3617	75	9	von	von	PROPN
cana-3617	75	10	bertalanffy	bertalanffy	PROPN
cana-3617	75	11	.	.	PUNCT
cana-3617	76	1	the	the	DET
cana-3617	76	2	vbgf	vbgf	NOUN
cana-3617	76	3	is	be	AUX
cana-3617	76	4	particularly	particularly	ADV
cana-3617	76	5	useful	useful	ADJ
cana-3617	76	6	in	in	ADP
cana-3617	76	7	modeling	model	VERB
cana-3617	76	8	the	the	DET
cana-3617	76	9	growth	growth	NOUN
cana-3617	76	10	of	of	ADP
cana-3617	76	11	organisms	organism	NOUN
cana-3617	76	12	over	over	ADP
cana-3617	76	13	time	time	NOUN
cana-3617	76	14	and	and	CCONJ
cana-3617	76	15	has	have	AUX
cana-3617	76	16	been	be	AUX
cana-3617	76	17	applied	apply	VERB
cana-3617	76	18	in	in	ADP
cana-3617	76	19	various	various	ADJ
cana-3617	76	20	fields	field	NOUN
cana-3617	76	21	such	such	ADJ
cana-3617	76	22	as	as	ADP
cana-3617	76	23	ecology	ecology	NOUN
cana-3617	76	24	,	,	PUNCT
cana-3617	76	25	fisheries	fishery	NOUN
cana-3617	76	26	science	science	NOUN
cana-3617	76	27	,	,	PUNCT
cana-3617	76	28	and	and	CCONJ
cana-3617	76	29	animal	animal	NOUN
cana-3617	76	30	science	science	NOUN
cana-3617	76	31	.	.	PUNCT
cana-3617	77	1	ayhan	ayhan	PROPN
cana-3617	77	2	yilmaz	yilmaz	PROPN
cana-3617	77	3	's	's	PART
cana-3617	77	4	team	team	NOUN
cana-3617	77	5	,	,	PUNCT
cana-3617	77	6	from	from	ADP
cana-3617	77	7	the	the	DET
cana-3617	77	8	department	department	NOUN
cana-3617	77	9	of	of	ADP
cana-3617	77	10	animal	animal	NOUN
cana-3617	77	11	science	science	NOUN
cana-3617	77	12	at	at	ADP
cana-3617	77	13	siirt	siirt	PROPN
cana-3617	77	14	university	university	PROPN
cana-3617	77	15	in	in	ADP
cana-3617	77	16	turkey	turkey	PROPN
cana-3617	77	17	,	,	PUNCT
cana-3617	77	18	has	have	AUX
cana-3617	77	19	conducted	conduct	VERB
cana-3617	77	20	research	research	NOUN
cana-3617	77	21	utilizing	utilize	VERB
cana-3617	77	22	the	the	DET
cana-3617	77	23	vbgf	vbgf	NOUN
cana-3617	77	24	to	to	PART
cana-3617	77	25	model	model	VERB
cana-3617	77	26	the	the	DET
cana-3617	77	27	mean	mean	ADJ
cana-3617	77	28	length	length	NOUN
cana-3617	77	29	from	from	ADP
cana-3617	77	30	age	age	NOUN
cana-3617	77	31	in	in	ADP
cana-3617	77	32	animals	animal	NOUN
cana-3617	77	33	.	.	PUNCT
cana-3617	78	1	by	by	ADP
cana-3617	78	2	applying	apply	VERB
cana-3617	78	3	this	this	DET
cana-3617	78	4	growth	growth	NOUN
cana-3617	78	5	curve	curve	NOUN
cana-3617	78	6	,	,	PUNCT
cana-3617	78	7	the	the	DET
cana-3617	78	8	team	team	NOUN
cana-3617	78	9	aims	aim	VERB
cana-3617	78	10	to	to	PART
cana-3617	78	11	provide	provide	VERB
cana-3617	78	12	more	more	ADV
cana-3617	78	13	accurate	accurate	ADJ
cana-3617	78	14	predictions	prediction	NOUN
cana-3617	78	15	of	of	ADP
cana-3617	78	16	animal	animal	NOUN
cana-3617	78	17	growth	growth	NOUN
cana-3617	78	18	patterns	pattern	NOUN
cana-3617	78	19	,	,	PUNCT
cana-3617	78	20	which	which	PRON
cana-3617	78	21	can	can	AUX
cana-3617	78	22	affect	affect	VERB
cana-3617	78	23	animal	animal	NOUN
cana-3617	78	24	husbandry	husbandry	NOUN
cana-3617	78	25	,	,	PUNCT
cana-3617	78	26	wildlife	wildlife	NOUN
cana-3617	78	27	management	management	NOUN
cana-3617	78	28	,	,	PUNCT
cana-3617	78	29	and	and	CCONJ
cana-3617	78	30	conservation	conservation	NOUN
cana-3617	78	31	efforts(ayhan	efforts(ayhan	PROPN
cana-3617	78	32	yilmaz	yilmaz	PROPN
cana-3617	78	33	2018	2018	NUM
cana-3617	78	34	)	)	PUNCT
cana-3617	78	35	.	.	PUNCT
cana-3617	79	1	the	the	DET
cana-3617	79	2	logistics	logistic	NOUN
cana-3617	79	3	and	and	CCONJ
cana-3617	79	4	generalized	generalized	ADJ
cana-3617	79	5	logistics	logistic	NOUN
cana-3617	79	6	functions	function	NOUN
cana-3617	79	7	are	be	AUX
cana-3617	79	8	examples	example	NOUN
cana-3617	79	9	of	of	ADP
cana-3617	79	10	sigmoidal	sigmoidal	NOUN
cana-3617	79	11	functions	function	NOUN
cana-3617	79	12	characterized	characterize	VERB
cana-3617	79	13	by	by	ADP
cana-3617	79	14	their	their	PRON
cana-3617	79	15	s	s	NOUN
cana-3617	79	16	-	-	PUNCT
cana-3617	79	17	shaped	shape	VERB
cana-3617	79	18	curves	curve	NOUN
cana-3617	79	19	.	.	PUNCT
cana-3617	80	1	these	these	DET
cana-3617	80	2	functions	function	NOUN
cana-3617	80	3	are	be	AUX
cana-3617	80	4	widely	widely	ADV
cana-3617	80	5	used	use	VERB
cana-3617	80	6	in	in	ADP
cana-3617	80	7	various	various	ADJ
cana-3617	80	8	disciplines	discipline	NOUN
cana-3617	80	9	,	,	PUNCT
cana-3617	80	10	such	such	ADJ
cana-3617	80	11	as	as	ADP
cana-3617	80	12	economics	economic	NOUN
cana-3617	80	13	,	,	PUNCT
cana-3617	80	14	sociology	sociology	NOUN
cana-3617	80	15	,	,	PUNCT
cana-3617	80	16	physics	physics	NOUN
cana-3617	80	17	,	,	PUNCT
cana-3617	80	18	medicine	medicine	NOUN
cana-3617	80	19	,	,	PUNCT
cana-3617	80	20	and	and	CCONJ
cana-3617	80	21	biology	biology	NOUN
cana-3617	80	22	,	,	PUNCT
cana-3617	80	23	to	to	PART
cana-3617	80	24	model	model	NOUN
cana-3617	80	25	growth	growth	NOUN
cana-3617	80	26	,	,	PUNCT
cana-3617	80	27	diffusion	diffusion	NOUN
cana-3617	80	28	processes	process	NOUN
cana-3617	80	29	,	,	PUNCT
cana-3617	80	30	and	and	CCONJ
cana-3617	80	31	other	other	ADJ
cana-3617	80	32	phenomena	phenomenon	NOUN
cana-3617	80	33	exhibiting	exhibit	VERB
cana-3617	80	34	a	a	DET
cana-3617	80	35	characteristic	characteristic	ADJ
cana-3617	80	36	s	s	ADV
cana-3617	80	37	-	-	PUNCT
cana-3617	80	38	shaped	shape	VERB
cana-3617	80	39	development	development	NOUN
cana-3617	80	40	pattern	pattern	NOUN
cana-3617	80	41	.	.	PUNCT
cana-3617	81	1	2	2	X
cana-3617	81	2	.	.	X
cana-3617	81	3	basic	basic	ADJ
cana-3617	81	4	mathematical	mathematical	ADJ
cana-3617	81	5	technique	technique	NOUN
cana-3617	81	6	using	use	VERB
cana-3617	81	7	differential	differential	ADJ
cana-3617	81	8	equations	equation	NOUN
cana-3617	81	9	we	we	PRON
cana-3617	81	10	first	first	ADV
cana-3617	81	11	need	need	VERB
cana-3617	81	12	to	to	PART
cana-3617	81	13	introduce	introduce	VERB
cana-3617	81	14	some	some	DET
cana-3617	81	15	variables	variable	NOUN
cana-3617	81	16	and	and	CCONJ
cana-3617	81	17	relevant	relevant	ADJ
cana-3617	81	18	terms	term	NOUN
cana-3617	81	19	to	to	PART
cana-3617	81	20	model	model	VERB
cana-3617	81	21	population	population	NOUN
cana-3617	81	22	growth	growth	NOUN
cana-3617	81	23	using	use	VERB
cana-3617	81	24	a	a	DET
cana-3617	81	25	differential	differential	ADJ
cana-3617	81	26	equation	equation	NOUN
cana-3617	81	27	.	.	PUNCT
cana-3617	82	1	the	the	DET
cana-3617	82	2	variable	variable	ADJ
cana-3617	82	3	‘	'	PUNCT
cana-3617	82	4	t	t	NOUN
cana-3617	82	5	’	'	PUNCT
cana-3617	82	6	represents	represent	VERB
cana-3617	82	7	time	time	NOUN
cana-3617	82	8	.	.	PUNCT
cana-3617	83	1	the	the	DET
cana-3617	83	2	unit	unit	NOUN
cana-3617	83	3	of	of	ADP
cana-3617	83	4	time	time	NOUN
cana-3617	83	5	can	can	AUX
cana-3617	83	6	be	be	AUX
cana-3617	83	7	hours	hour	NOUN
cana-3617	83	8	,	,	PUNCT
cana-3617	83	9	days	day	NOUN
cana-3617	83	10	,	,	PUNCT
cana-3617	83	11	weeks	week	NOUN
cana-3617	83	12	,	,	PUNCT
cana-3617	83	13	months	month	NOUN
cana-3617	83	14	,	,	PUNCT
cana-3617	83	15	or	or	CCONJ
cana-3617	83	16	even	even	ADV
cana-3617	83	17	years	year	NOUN
cana-3617	83	18	.	.	PUNCT
cana-3617	84	1	any	any	DET
cana-3617	84	2	given	give	VERB
cana-3617	84	3	problem	problem	NOUN
cana-3617	84	4	must	must	AUX
cana-3617	84	5	specify	specify	VERB
cana-3617	84	6	the	the	DET
cana-3617	84	7	unit	unit	NOUN
cana-3617	84	8	used	use	VERB
cana-3617	84	9	.	.	PUNCT
cana-3617	85	1	the	the	DET
cana-3617	85	2	variable	variable	NOUN
cana-3617	85	3	p	p	NOUN
cana-3617	85	4	represents	represent	VERB
cana-3617	85	5	the	the	DET
cana-3617	85	6	communications	communication	NOUN
cana-3617	85	7	on	on	ADP
cana-3617	85	8	applied	apply	VERB
cana-3617	85	9	nonlinear	nonlinear	ADJ
cana-3617	85	10	analysis	analysis	NOUN
cana-3617	85	11	issn	issn	NOUN
cana-3617	85	12	:	:	PUNCT
cana-3617	85	13	1074	1074	NUM
cana-3617	85	14	-	-	PUNCT
cana-3617	85	15	133x	133x	NUM
cana-3617	85	16	vol	vol	NOUN
cana-3617	85	17	32	32	NUM
cana-3617	85	18	no	no	NOUN
cana-3617	85	19	.	.	PUNCT
cana-3617	86	1	8s	8s	PROPN
cana-3617	86	2	(	(	PUNCT
cana-3617	86	3	2025	2025	NUM
cana-3617	86	4	)	)	PUNCT
cana-3617	86	5	170	170	NUM
cana-3617	86	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3617	86	7	population	population	NOUN
cana-3617	86	8	.	.	PUNCT
cana-3617	87	1	since	since	SCONJ
cana-3617	87	2	the	the	DET
cana-3617	87	3	population	population	NOUN
cana-3617	87	4	varies	vary	VERB
cana-3617	87	5	over	over	ADP
cana-3617	87	6	time	time	NOUN
cana-3617	87	7	,	,	PUNCT
cana-3617	87	8	it	it	PRON
cana-3617	87	9	is	be	AUX
cana-3617	87	10	understood	understand	VERB
cana-3617	87	11	to	to	PART
cana-3617	87	12	be	be	AUX
cana-3617	87	13	a	a	DET
cana-3617	87	14	function	function	NOUN
cana-3617	87	15	of	of	ADP
cana-3617	87	16	time	time	NOUN
cana-3617	87	17	.	.	PUNCT
cana-3617	88	1	therefore	therefore	ADV
cana-3617	88	2	,	,	PUNCT
cana-3617	88	3	as	as	ADP
cana-3617	88	4	a	a	DET
cana-3617	88	5	function	function	NOUN
cana-3617	88	6	of	of	ADP
cana-3617	88	7	t	t	PROPN
cana-3617	88	8	,	,	PUNCT
cana-3617	88	9	the	the	DET
cana-3617	88	10	notation	notation	NOUN
cana-3617	88	11	p	p	NOUN
cana-3617	88	12	represents	represent	VERB
cana-3617	88	13	the	the	DET
cana-3617	88	14	population	population	NOUN
cana-3617	88	15	over	over	ADP
cana-3617	88	16	the	the	DET
cana-3617	88	17	given	give	VERB
cana-3617	88	18	time	time	NOUN
cana-3617	88	19	period	period	NOUN
cana-3617	88	20	(	(	PUNCT
cana-3617	88	21	ie)p(t	ie)p(t	NOUN
cana-3617	88	22	)	)	PUNCT
cana-3617	88	23	.	.	PUNCT
cana-3617	89	1	suppose	suppose	VERB
cana-3617	89	2	p(t	p(t	NOUN
cana-3617	89	3	)	)	PUNCT
cana-3617	89	4	is	be	AUX
cana-3617	89	5	a	a	DET
cana-3617	89	6	differentiable	differentiable	ADJ
cana-3617	89	7	function	function	NOUN
cana-3617	89	8	.	.	PUNCT
cana-3617	90	1	in	in	ADP
cana-3617	90	2	this	this	DET
cana-3617	90	3	scenario	scenario	NOUN
cana-3617	90	4	,	,	PUNCT
cana-3617	90	5	the	the	DET
cana-3617	90	6	first	first	ADJ
cana-3617	90	7	derivative	derivative	ADJ
cana-3617	90	8	,	,	PUNCT
cana-3617	90	9	dp	dp	NOUN
cana-3617	90	10	/	/	SYM
cana-3617	90	11	dt	dt	PROPN
cana-3617	90	12	,	,	PUNCT
cana-3617	90	13	shows	show	VERB
cana-3617	90	14	the	the	DET
cana-3617	90	15	immediate	immediate	ADJ
cana-3617	90	16	rate	rate	NOUN
cana-3617	90	17	of	of	ADP
cana-3617	90	18	change	change	NOUN
cana-3617	90	19	of	of	ADP
cana-3617	90	20	the	the	DET
cana-3617	90	21	population	population	NOUN
cana-3617	90	22	over	over	ADP
cana-3617	90	23	time	time	NOUN
cana-3617	90	24	and	and	CCONJ
cana-3617	90	25	should	should	AUX
cana-3617	90	26	be	be	AUX
cana-3617	90	27	directly	directly	ADV
cana-3617	90	28	related	relate	VERB
cana-3617	90	29	to	to	ADP
cana-3617	90	30	the	the	DET
cana-3617	90	31	actual	actual	ADJ
cana-3617	90	32	population	population	NOUN
cana-3617	90	33	size	size	NOUN
cana-3617	90	34	,	,	PUNCT
cana-3617	90	35	assuming	assume	VERB
cana-3617	90	36	that	that	SCONJ
cana-3617	90	37	population	population	NOUN
cana-3617	90	38	growth	growth	NOUN
cana-3617	90	39	depends	depend	VERB
cana-3617	90	40	only	only	ADV
cana-3617	90	41	on	on	ADP
cana-3617	90	42	the	the	DET
cana-3617	90	43	initial	initial	ADJ
cana-3617	90	44	size	size	NOUN
cana-3617	90	45	and	and	CCONJ
cana-3617	90	46	not	not	PART
cana-3617	90	47	other	other	ADJ
cana-3617	90	48	factors	factor	NOUN
cana-3617	90	49	.	.	PUNCT
cana-3617	91	1	(	(	PUNCT
cana-3617	91	2	1	1	X
cana-3617	91	3	)	)	PUNCT
cana-3617	91	4	it	it	PRON
cana-3617	91	5	is	be	AUX
cana-3617	91	6	clear	clear	ADJ
cana-3617	91	7	from	from	ADP
cana-3617	91	8	the	the	DET
cana-3617	91	9	above	above	ADJ
cana-3617	91	10	differential	differential	ADJ
cana-3617	91	11	equation	equation	NOUN
cana-3617	91	12	that	that	SCONJ
cana-3617	91	13	the	the	PRON
cana-3617	91	14	larger	large	ADJ
cana-3617	91	15	the	the	DET
cana-3617	91	16	population	population	NOUN
cana-3617	91	17	,	,	PUNCT
cana-3617	91	18	the	the	PRON
cana-3617	91	19	larger	large	ADJ
cana-3617	91	20	the	the	DET
cana-3617	91	21	rate	rate	NOUN
cana-3617	91	22	at	at	ADP
cana-3617	91	23	any	any	DET
cana-3617	91	24	given	give	VERB
cana-3617	91	25	time	time	NOUN
cana-3617	91	26	.	.	PUNCT
cana-3617	92	1	all	all	DET
cana-3617	92	2	species	specie	NOUN
cana-3617	92	3	have	have	VERB
cana-3617	92	4	a	a	DET
cana-3617	92	5	population	population	NOUN
cana-3617	92	6	growth	growth	NOUN
cana-3617	92	7	curve	curve	NOUN
cana-3617	92	8	based	base	VERB
cana-3617	92	9	on	on	ADP
cana-3617	92	10	the	the	DET
cana-3617	92	11	above	above	ADJ
cana-3617	92	12	simple	simple	ADJ
cana-3617	92	13	modeled	model	VERB
cana-3617	92	14	differential	differential	NOUN
cana-3617	92	15	equation	equation	NOUN
cana-3617	92	16	,	,	PUNCT
cana-3617	92	17	either	either	CCONJ
cana-3617	92	18	increasing	increase	VERB
cana-3617	92	19	or	or	CCONJ
cana-3617	92	20	decreasing	decrease	VERB
cana-3617	92	21	or	or	CCONJ
cana-3617	92	22	static	static	ADJ
cana-3617	92	23	after	after	ADP
cana-3617	92	24	reaching	reach	VERB
cana-3617	92	25	a	a	DET
cana-3617	92	26	particular	particular	ADJ
cana-3617	92	27	time	time	NOUN
cana-3617	92	28	frame	frame	NOUN
cana-3617	92	29	.	.	PUNCT
cana-3617	93	1	let	let	VERB
cana-3617	93	2	's	us	PRON
cana-3617	93	3	consider	consider	VERB
cana-3617	93	4	the	the	DET
cana-3617	93	5	population	population	NOUN
cana-3617	93	6	p(t	p(t	NOUN
cana-3617	93	7	)	)	PUNCT
cana-3617	93	8	with	with	ADP
cana-3617	93	9	birth	birth	NOUN
cana-3617	93	10	rate	rate	NOUN
cana-3617	93	11			PROPN
cana-3617	93	12	and	and	CCONJ
cana-3617	93	13	death	death	NOUN
cana-3617	93	14	rate	rate	NOUN
cana-3617	93	15	.	.	VERB
cana-3617	93	16	the	the	DET
cana-3617	93	17	birth	birth	NOUN
cana-3617	93	18	rate	rate	NOUN
cana-3617	93	19			PROPN
cana-3617	93	20	represents	represent	VERB
cana-3617	93	21	the	the	DET
cana-3617	93	22	number	number	NOUN
cana-3617	93	23	of	of	ADP
cana-3617	93	24	births	birth	NOUN
cana-3617	93	25	per	per	ADP
cana-3617	93	26	unit	unit	NOUN
cana-3617	93	27	of	of	ADP
cana-3617	93	28	population	population	NOUN
cana-3617	93	29	per	per	ADP
cana-3617	93	30	unit	unit	NOUN
cana-3617	93	31	of	of	ADP
cana-3617	93	32	time	time	NOUN
cana-3617	93	33	,	,	PUNCT
cana-3617	93	34	while	while	SCONJ
cana-3617	93	35	the	the	DET
cana-3617	93	36	death	death	NOUN
cana-3617	93	37	rate	rate	NOUN
cana-3617	93	38			NUM
cana-3617	93	39	represents	represent	VERB
cana-3617	93	40	the	the	DET
cana-3617	93	41	number	number	NOUN
cana-3617	93	42	of	of	ADP
cana-3617	93	43	deaths	death	NOUN
cana-3617	93	44	per	per	ADP
cana-3617	93	45	unit	unit	NOUN
cana-3617	93	46	of	of	ADP
cana-3617	93	47	population	population	NOUN
cana-3617	93	48	per	per	ADP
cana-3617	93	49	unit	unit	NOUN
cana-3617	93	50	of	of	ADP
cana-3617	93	51	time	time	NOUN
cana-3617	93	52	.	.	PUNCT
cana-3617	94	1	it	it	PRON
cana-3617	94	2	's	be	AUX
cana-3617	94	3	reasonable	reasonable	ADJ
cana-3617	94	4	to	to	PART
cana-3617	94	5	assume	assume	VERB
cana-3617	94	6	that	that	SCONJ
cana-3617	94	7	birth	birth	NOUN
cana-3617	94	8	and	and	CCONJ
cana-3617	94	9	death	death	NOUN
cana-3617	94	10	rates	rate	NOUN
cana-3617	94	11	may	may	AUX
cana-3617	94	12	depend	depend	VERB
cana-3617	94	13	on	on	ADP
cana-3617	94	14	the	the	DET
cana-3617	94	15	population	population	NOUN
cana-3617	94	16	size	size	NOUN
cana-3617	94	17	or	or	CCONJ
cana-3617	94	18	the	the	DET
cana-3617	94	19	time	time	NOUN
cana-3617	94	20	interval	interval	NOUN
cana-3617	94	21	.	.	PUNCT
cana-3617	95	1	on	on	ADP
cana-3617	95	2	the	the	DET
cana-3617	95	3	other	other	ADJ
cana-3617	95	4	hand	hand	NOUN
cana-3617	95	5	,	,	PUNCT
cana-3617	95	6	nothing	nothing	PRON
cana-3617	95	7	restricts	restrict	VERB
cana-3617	95	8	the	the	DET
cana-3617	95	9	model	model	NOUN
cana-3617	95	10	from	from	ADP
cana-3617	95	11	having	have	VERB
cana-3617	95	12			NOUN
cana-3617	95	13	and	and	CCONJ
cana-3617	95	14			NUM
cana-3617	95	15	as	as	ADP
cana-3617	95	16	constants	constant	NOUN
cana-3617	95	17	.	.	PUNCT
cana-3617	96	1	furthermore	furthermore	ADV
cana-3617	96	2	,	,	PUNCT
cana-3617	96	3	it	it	PRON
cana-3617	96	4	is	be	AUX
cana-3617	96	5	a	a	DET
cana-3617	96	6	reasonable	reasonable	ADJ
cana-3617	96	7	dependency	dependency	NOUN
cana-3617	96	8	because	because	SCONJ
cana-3617	96	9	,	,	PUNCT
cana-3617	96	10	for	for	ADP
cana-3617	96	11	example	example	NOUN
cana-3617	96	12	,	,	PUNCT
cana-3617	96	13	the	the	DET
cana-3617	96	14	birth	birth	NOUN
cana-3617	96	15	rate	rate	NOUN
cana-3617	96	16	may	may	AUX
cana-3617	96	17	decrease	decrease	VERB
cana-3617	96	18	as	as	SCONJ
cana-3617	96	19	the	the	DET
cana-3617	96	20	population	population	NOUN
cana-3617	96	21	increases	increase	VERB
cana-3617	96	22	.	.	PUNCT
cana-3617	97	1	after	after	ADV
cana-3617	97	2	all	all	ADV
cana-3617	97	3	,	,	PUNCT
cana-3617	97	4	a	a	DET
cana-3617	97	5	food	food	NOUN
cana-3617	97	6	restriction	restriction	NOUN
cana-3617	97	7	or	or	CCONJ
cana-3617	97	8	overpopulation	overpopulation	NOUN
cana-3617	97	9	could	could	AUX
cana-3617	97	10	make	make	VERB
cana-3617	97	11	people	people	NOUN
cana-3617	97	12	less	less	ADV
cana-3617	97	13	likely	likely	ADJ
cana-3617	97	14	to	to	PART
cana-3617	97	15	have	have	VERB
cana-3617	97	16	children	child	NOUN
cana-3617	97	17	.	.	PUNCT
cana-3617	98	1	to	to	PART
cana-3617	98	2	set	set	VERB
cana-3617	98	3	up	up	ADP
cana-3617	98	4	a	a	DET
cana-3617	98	5	population	population	NOUN
cana-3617	98	6	model	model	NOUN
cana-3617	98	7	,	,	PUNCT
cana-3617	98	8	we	we	PRON
cana-3617	98	9	ask	ask	VERB
cana-3617	98	10	ourselves	ourselves	PRON
cana-3617	98	11	the	the	DET
cana-3617	98	12	same	same	ADJ
cana-3617	98	13	question	question	NOUN
cana-3617	98	14	when	when	SCONJ
cana-3617	98	15	trying	try	VERB
cana-3617	98	16	to	to	PART
cana-3617	98	17	derive	derive	VERB
cana-3617	98	18	a	a	DET
cana-3617	98	19	differential	differential	ADJ
cana-3617	98	20	equation	equation	NOUN
cana-3617	98	21	:	:	PUNCT
cana-3617	98	22	how	how	SCONJ
cana-3617	98	23	does	do	AUX
cana-3617	98	24	the	the	DET
cana-3617	98	25	independent	independent	ADJ
cana-3617	98	26	variable	variable	ADJ
cana-3617	98	27	change	change	NOUN
cana-3617	98	28	?	?	PUNCT
cana-3617	99	1	when	when	SCONJ
cana-3617	99	2	the	the	DET
cana-3617	99	3	dependent	dependent	ADJ
cana-3617	99	4	variable	variable	ADJ
cana-3617	99	5	changes	change	NOUN
cana-3617	99	6	.	.	PUNCT
cana-3617	100	1	in	in	ADP
cana-3617	100	2	other	other	ADJ
cana-3617	100	3	words	word	NOUN
cana-3617	100	4	,	,	PUNCT
cana-3617	100	5	how	how	SCONJ
cana-3617	100	6	does	do	AUX
cana-3617	100	7	p	p	NOUN
cana-3617	100	8	change	change	VERB
cana-3617	100	9	in	in	ADP
cana-3617	100	10	some	some	DET
cana-3617	100	11	small	small	ADJ
cana-3617	100	12	interval	interval	NOUN
cana-3617	100	13	of	of	ADP
cana-3617	100	14	time	time	NOUN
cana-3617	100	15	t	t	NOUN
cana-3617	100	16	?	?	PUNCT
cana-3617	101	1	similarly	similarly	ADV
cana-3617	101	2	,	,	PUNCT
cana-3617	101	3	we	we	PRON
cana-3617	101	4	will	will	AUX
cana-3617	101	5	call	call	VERB
cana-3617	101	6	the	the	DET
cana-3617	101	7	slight	slight	ADJ
cana-3617	101	8	shift	shift	NOUN
cana-3617	101	9	in	in	ADP
cana-3617	101	10	population	population	NOUN
cana-3617	101	11	p	p	NOUN
cana-3617	101	12	.	.	PUNCT
cana-3617	102	1	now	now	ADV
cana-3617	102	2	,	,	PUNCT
cana-3617	102	3	it	it	PRON
cana-3617	102	4	is	be	AUX
cana-3617	102	5	clear	clear	ADJ
cana-3617	102	6	to	to	PART
cana-3617	102	7	write	write	VERB
cana-3617	102	8	the	the	DET
cana-3617	102	9	following	follow	VERB
cana-3617	102	10	equations	equation	NOUN
cana-3617	102	11	.	.	PUNCT
cana-3617	103	1	(	(	PUNCT
cana-3617	103	2	i.e.	i.e.	X
cana-3617	103	3	)	)	PUNCT
cana-3617	103	4	(	(	PUNCT
cana-3617	103	5	i.e.	i.e.	X
cana-3617	103	6	)	)	PUNCT
cana-3617	103	7	(	(	PUNCT
cana-3617	103	8	2	2	X
cana-3617	103	9	)	)	PUNCT
cana-3617	103	10	the	the	DET
cana-3617	103	11	above	above	ADJ
cana-3617	103	12	equation	equation	NOUN
cana-3617	103	13	(	(	PUNCT
cana-3617	103	14	2	2	X
cana-3617	103	15	)	)	PUNCT
cana-3617	103	16	can	can	AUX
cana-3617	103	17	be	be	AUX
cana-3617	103	18	said	say	VERB
cana-3617	103	19	to	to	PART
cana-3617	103	20	be	be	AUX
cana-3617	103	21	the	the	DET
cana-3617	103	22	“	"	PUNCT
cana-3617	103	23	master	master	NOUN
cana-3617	103	24	”	"	PUNCT
cana-3617	103	25	population	population	NOUN
cana-3617	103	26	equation	equation	NOUN
cana-3617	103	27	from	from	ADP
cana-3617	103	28	which	which	PRON
cana-3617	103	29	other	other	ADJ
cana-3617	103	30	population	population	NOUN
cana-3617	103	31	models	model	NOUN
cana-3617	103	32	are	be	AUX
cana-3617	103	33	derived	derive	VERB
cana-3617	103	34	.	.	PUNCT
cana-3617	104	1	exponential	exponential	ADJ
cana-3617	104	2	model	model	NOUN
cana-3617	104	3	:	:	PUNCT
cana-3617	104	4	where	where	SCONJ
cana-3617	104	5			NOUN
cana-3617	104	6	and	and	CCONJ
cana-3617	104	7			PROPN
cana-3617	104	8	constants	constant	NOUN
cana-3617	104	9	logistic	logistic	ADJ
cana-3617	104	10	model	model	NOUN
cana-3617	104	11	:	:	PUNCT
cana-3617	104	12	where	where	SCONJ
cana-3617	104	13			NUM
cana-3617	104	14	constants	constant	NOUN
cana-3617	104	15	and	and	CCONJ
cana-3617	104	16			NOUN
cana-3617	104	17	decrease	decrease	NOUN
cana-3617	104	18	linearly	linearly	ADV
cana-3617	104	19	with	with	ADP
cana-3617	104	20	p	p	PROPN
cana-3617	104	21	(	(	PUNCT
cana-3617	104	22	3	3	NUM
cana-3617	104	23	)	)	PUNCT
cana-3617	104	24	now	now	ADV
cana-3617	104	25	,	,	PUNCT
cana-3617	104	26	let	let	VERB
cana-3617	104	27	us	we	PRON
cana-3617	104	28	examine	examine	VERB
cana-3617	104	29	the	the	DET
cana-3617	104	30	logistic	logistic	ADJ
cana-3617	104	31	model	model	NOUN
cana-3617	104	32	more	more	ADV
cana-3617	104	33	closely	closely	ADV
cana-3617	104	34	.	.	PUNCT
cana-3617	105	1	the	the	DET
cana-3617	105	2	logistic	logistic	ADJ
cana-3617	105	3	equation	equation	NOUN
cana-3617	105	4	is	be	AUX
cana-3617	105	5	a	a	DET
cana-3617	105	6	model	model	NOUN
cana-3617	105	7	for	for	ADP
cana-3617	105	8	population	population	NOUN
cana-3617	105	9	growth	growth	NOUN
cana-3617	105	10	.	.	PUNCT
cana-3617	106	1	furthermore	furthermore	ADV
cana-3617	106	2	,	,	PUNCT
cana-3617	106	3	despite	despite	SCONJ
cana-3617	106	4	its	its	PRON
cana-3617	106	5	reasonably	reasonably	ADV
cana-3617	106	6	simple	simple	ADJ
cana-3617	106	7	appearance	appearance	NOUN
cana-3617	106	8	,	,	PUNCT
cana-3617	106	9	it	it	PRON
cana-3617	106	10	works	work	VERB
cana-3617	106	11	very	very	ADV
cana-3617	106	12	well	well	ADV
cana-3617	106	13	as	as	ADP
cana-3617	106	14	a	a	DET
cana-3617	106	15	model	model	NOUN
cana-3617	106	16	for	for	ADP
cana-3617	106	17	realistic	realistic	ADJ
cana-3617	106	18	situations	situation	NOUN
cana-3617	106	19	,	,	PUNCT
cana-3617	106	20	such	such	ADJ
cana-3617	106	21	as	as	ADP
cana-3617	106	22	the	the	DET
cana-3617	106	23	growth	growth	NOUN
cana-3617	106	24	of	of	ADP
cana-3617	106	25	a	a	DET
cana-3617	106	26	country	country	NOUN
cana-3617	106	27	's	's	PART
cana-3617	106	28	population	population	NOUN
cana-3617	106	29	or	or	CCONJ
cana-3617	106	30	any	any	DET
cana-3617	106	31	species	specie	NOUN
cana-3617	106	32	over	over	ADP
cana-3617	106	33	a	a	DET
cana-3617	106	34	significant	significant	ADJ
cana-3617	106	35	period	period	NOUN
cana-3617	106	36	.	.	PUNCT
cana-3617	107	1	the	the	DET
cana-3617	107	2	population	population	NOUN
cana-3617	107	3	's	's	PART
cana-3617	107	4	rate	rate	NOUN
cana-3617	107	5	of	of	ADP
cana-3617	107	6	change	change	NOUN
cana-3617	107	7	is	be	AUX
cana-3617	107	8	expressed	express	VERB
cana-3617	107	9	as	as	ADP
cana-3617	107	10	the	the	DET
cana-3617	107	11	product	product	NOUN
cana-3617	107	12	of	of	ADP
cana-3617	107	13	the	the	DET
cana-3617	107	14	population	population	NOUN
cana-3617	107	15	and	and	CCONJ
cana-3617	107	16	the	the	DET
cana-3617	107	17	difference	difference	NOUN
cana-3617	107	18	between	between	ADP
cana-3617	107	19	some	some	DET
cana-3617	107	20	number	number	NOUN
cana-3617	107	21	m	m	NOUN
cana-3617	107	22	and	and	CCONJ
cana-3617	107	23	the	the	DET
cana-3617	107	24	population	population	NOUN
cana-3617	107	25	p	p	NOUN
cana-3617	107	26	as	as	SCONJ
cana-3617	107	27	expressed	express	VERB
cana-3617	107	28	in	in	ADP
cana-3617	107	29	equation	equation	NOUN
cana-3617	107	30	(	(	PUNCT
cana-3617	107	31	3	3	NUM
cana-3617	107	32	)	)	PUNCT
cana-3617	107	33	.	.	PUNCT
cana-3617	108	1	this	this	DET
cana-3617	108	2	number	number	NOUN
cana-3617	108	3	communications	communication	NOUN
cana-3617	108	4	on	on	ADP
cana-3617	108	5	applied	apply	VERB
cana-3617	108	6	nonlinear	nonlinear	ADJ
cana-3617	108	7	analysis	analysis	NOUN
cana-3617	108	8	issn	issn	NOUN
cana-3617	108	9	:	:	PUNCT
cana-3617	108	10	1074	1074	NUM
cana-3617	108	11	-	-	PUNCT
cana-3617	108	12	133x	133x	NUM
cana-3617	108	13	vol	vol	NOUN
cana-3617	108	14	32	32	NUM
cana-3617	108	15	no	no	NOUN
cana-3617	108	16	.	.	PUNCT
cana-3617	109	1	8s	8s	PROPN
cana-3617	109	2	(	(	PUNCT
cana-3617	109	3	2025	2025	NUM
cana-3617	109	4	)	)	PUNCT
cana-3617	109	5	171	171	NUM
cana-3617	110	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3617	110	2	m	m	VERB
cana-3617	110	3	can	can	AUX
cana-3617	110	4	be	be	AUX
cana-3617	110	5	interpreted	interpret	VERB
cana-3617	110	6	as	as	ADP
cana-3617	110	7	the	the	DET
cana-3617	110	8	maximum	maximum	ADJ
cana-3617	110	9	sustainable	sustainable	ADJ
cana-3617	110	10	level	level	NOUN
cana-3617	110	11	for	for	ADP
cana-3617	110	12	the	the	DET
cana-3617	110	13	population	population	NOUN
cana-3617	110	14	over	over	ADP
cana-3617	110	15	a	a	DET
cana-3617	110	16	long	long	ADJ
cana-3617	110	17	period	period	NOUN
cana-3617	110	18	.	.	PUNCT
cana-3617	111	1	in	in	ADP
cana-3617	111	2	addition	addition	NOUN
cana-3617	111	3	,	,	PUNCT
cana-3617	111	4	the	the	DET
cana-3617	111	5	fact	fact	NOUN
cana-3617	111	6	that	that	SCONJ
cana-3617	111	7	the	the	DET
cana-3617	111	8	expression	expression	NOUN
cana-3617	111	9	on	on	ADP
cana-3617	111	10	the	the	DET
cana-3617	111	11	right	right	NOUN
cana-3617	111	12	of	of	ADP
cana-3617	111	13	equation	equation	NOUN
cana-3617	111	14	(	(	PUNCT
cana-3617	111	15	3	3	X
cana-3617	111	16	)	)	PUNCT
cana-3617	111	17	is	be	AUX
cana-3617	111	18	a	a	DET
cana-3617	111	19	product	product	NOUN
cana-3617	111	20	that	that	PRON
cana-3617	111	21	explains	explain	VERB
cana-3617	111	22	that	that	SCONJ
cana-3617	111	23	the	the	DET
cana-3617	111	24	population	population	NOUN
cana-3617	111	25	grows	grow	VERB
cana-3617	111	26	more	more	ADV
cana-3617	111	27	slowly	slowly	ADV
cana-3617	111	28	when	when	SCONJ
cana-3617	111	29	it	it	PRON
cana-3617	111	30	is	be	AUX
cana-3617	111	31	small	small	ADJ
cana-3617	111	32	if	if	SCONJ
cana-3617	111	33	we	we	PRON
cana-3617	111	34	have	have	VERB
cana-3617	111	35	p	p	NOUN
cana-3617	111	36	approaching	approach	VERB
cana-3617	111	37	zero	zero	NUM
cana-3617	111	38	,	,	PUNCT
cana-3617	111	39	and	and	CCONJ
cana-3617	111	40	it	it	PRON
cana-3617	111	41	also	also	ADV
cana-3617	111	42	grows	grow	VERB
cana-3617	111	43	slowly	slowly	ADV
cana-3617	111	44	when	when	SCONJ
cana-3617	111	45	m	m	NOUN
cana-3617	111	46	-	-	PROPN
cana-3617	111	47	p	p	NOUN
cana-3617	111	48	is	be	AUX
cana-3617	111	49	small	small	ADJ
cana-3617	111	50	,	,	PUNCT
cana-3617	111	51	so	so	ADV
cana-3617	111	52	the	the	DET
cana-3617	111	53	population	population	NOUN
cana-3617	111	54	is	be	AUX
cana-3617	111	55	closed	close	VERB
cana-3617	111	56	to	to	ADP
cana-3617	111	57	its	its	PRON
cana-3617	111	58	maximum	maximum	ADJ
cana-3617	111	59	capacity	capacity	NOUN
cana-3617	111	60	.	.	PUNCT
cana-3617	112	1	we	we	PRON
cana-3617	112	2	want	want	VERB
cana-3617	112	3	to	to	PART
cana-3617	112	4	describe	describe	VERB
cana-3617	112	5	how	how	SCONJ
cana-3617	112	6	the	the	DET
cana-3617	112	7	logistic	logistic	ADJ
cana-3617	112	8	equations	equation	NOUN
cana-3617	112	9	result	result	VERB
cana-3617	112	10	from	from	ADP
cana-3617	112	11	the	the	DET
cana-3617	112	12	general	general	ADJ
cana-3617	112	13	population	population	NOUN
cana-3617	112	14	equation	equation	NOUN
cana-3617	112	15	's	's	PART
cana-3617	112	16	birth	birth	NOUN
cana-3617	112	17	and	and	CCONJ
cana-3617	112	18	death	death	NOUN
cana-3617	112	19	rate	rate	NOUN
cana-3617	112	20	assumptions	assumption	NOUN
cana-3617	112	21	(	(	PUNCT
cana-3617	112	22	2	2	NUM
cana-3617	112	23	)	)	PUNCT
cana-3617	112	24	.	.	PUNCT
cana-3617	113	1	if	if	SCONJ
cana-3617	113	2	we	we	PRON
cana-3617	113	3	assume	assume	VERB
cana-3617	113	4	that	that	SCONJ
cana-3617	113	5	we	we	PRON
cana-3617	113	6	have	have	VERB
cana-3617	113	7	a	a	DET
cana-3617	113	8	constant	constant	ADJ
cana-3617	113	9	death	death	NOUN
cana-3617	113	10	rate	rate	NOUN
cana-3617	113	11	and	and	CCONJ
cana-3617	113	12	a	a	DET
cana-3617	113	13	birth	birth	NOUN
cana-3617	113	14	rate	rate	NOUN
cana-3617	113	15	that	that	PRON
cana-3617	113	16	is	be	AUX
cana-3617	113	17	not	not	PART
cana-3617	113	18	constant	constant	ADJ
cana-3617	113	19	but	but	CCONJ
cana-3617	113	20	somewhat	somewhat	ADV
cana-3617	113	21	decreases	decrease	VERB
cana-3617	113	22	linearly	linearly	ADV
cana-3617	113	23	with	with	ADP
cana-3617	113	24	the	the	DET
cana-3617	113	25	population	population	NOUN
cana-3617	113	26	,	,	PUNCT
cana-3617	113	27	we	we	PRON
cana-3617	113	28	have	have	VERB
cana-3617	113	29	the	the	DET
cana-3617	113	30	following	follow	VERB
cana-3617	113	31	equation	equation	NOUN
cana-3617	113	32	.	.	PUNCT
cana-3617	114	1	death	death	NOUN
cana-3617	114	2	rate	rate	NOUN
cana-3617	114	3	:	:	PUNCT
cana-3617	114	4	(	(	PUNCT
cana-3617	114	5	constant	constant	ADJ
cana-3617	114	6	)	)	PUNCT
cana-3617	114	7	birth	birth	NOUN
cana-3617	114	8	rate	rate	NOUN
cana-3617	114	9	:	:	PUNCT
cana-3617	114	10	(	(	PUNCT
cana-3617	114	11	linearly	linearly	ADV
cana-3617	114	12	decreases	decrease	VERB
cana-3617	114	13	with	with	ADP
cana-3617	114	14	p	p	NOUN
cana-3617	114	15	)	)	PUNCT
cana-3617	114	16	this	this	PRON
cana-3617	114	17	is	be	AUX
cana-3617	114	18	a	a	DET
cana-3617	114	19	reasonable	reasonable	ADJ
cana-3617	114	20	assumption	assumption	NOUN
cana-3617	114	21	.	.	PUNCT
cana-3617	115	1	one	one	PRON
cana-3617	115	2	could	could	AUX
cana-3617	115	3	imagine	imagine	VERB
cana-3617	115	4	that	that	SCONJ
cana-3617	115	5	when	when	SCONJ
cana-3617	115	6	a	a	DET
cana-3617	115	7	population	population	NOUN
cana-3617	115	8	increases	increase	VERB
cana-3617	115	9	,	,	PUNCT
cana-3617	115	10	it	it	PRON
cana-3617	115	11	may	may	AUX
cana-3617	115	12	be	be	AUX
cana-3617	115	13	less	less	ADV
cana-3617	115	14	desirable	desirable	ADJ
cana-3617	115	15	for	for	SCONJ
cana-3617	115	16	the	the	DET
cana-3617	115	17	population	population	NOUN
cana-3617	115	18	to	to	PART
cana-3617	115	19	reproduce	reproduce	VERB
cana-3617	115	20	or	or	CCONJ
cana-3617	115	21	for	for	ADP
cana-3617	115	22	reasons	reason	NOUN
cana-3617	115	23	like	like	ADP
cana-3617	115	24	food	food	NOUN
cana-3617	115	25	supply	supply	NOUN
cana-3617	115	26	may	may	AUX
cana-3617	115	27	become	become	VERB
cana-3617	115	28	more	more	ADV
cana-3617	115	29	limited	limited	ADJ
cana-3617	115	30	,	,	PUNCT
cana-3617	115	31	or	or	CCONJ
cana-3617	115	32	the	the	DET
cana-3617	115	33	habitat	habitat	NOUN
cana-3617	115	34	becomes	become	VERB
cana-3617	115	35	less	less	ADV
cana-3617	115	36	suitable	suitable	ADJ
cana-3617	115	37	due	due	ADJ
cana-3617	115	38	to	to	ADP
cana-3617	115	39	encroachment	encroachment	NOUN
cana-3617	115	40	or	or	CCONJ
cana-3617	115	41	other	other	ADJ
cana-3617	115	42	factors	factor	NOUN
cana-3617	115	43	which	which	PRON
cana-3617	115	44	would	would	AUX
cana-3617	115	45	cause	cause	VERB
cana-3617	115	46	the	the	DET
cana-3617	115	47	birth	birth	NOUN
cana-3617	115	48	rate	rate	NOUN
cana-3617	115	49	to	to	PART
cana-3617	115	50	decrease	decrease	VERB
cana-3617	115	51	with	with	ADP
cana-3617	115	52	the	the	DET
cana-3617	115	53	increase	increase	NOUN
cana-3617	115	54	of	of	ADP
cana-3617	115	55	population	population	NOUN
cana-3617	115	56	.	.	PUNCT
cana-3617	116	1	substituting	substitute	VERB
cana-3617	116	2	these	these	DET
cana-3617	116	3	assumptions	assumption	NOUN
cana-3617	116	4	in	in	ADP
cana-3617	116	5	equation	equation	NOUN
cana-3617	116	6	(	(	PUNCT
cana-3617	116	7	2	2	NUM
cana-3617	116	8	)	)	PUNCT
cana-3617	116	9	,	,	PUNCT
cana-3617	116	10	we	we	PRON
cana-3617	116	11	get	get	VERB
cana-3617	116	12	the	the	DET
cana-3617	116	13	following	follow	VERB
cana-3617	116	14	equations	equation	NOUN
cana-3617	116	15	:	:	PUNCT
cana-3617	116	16	(	(	PUNCT
cana-3617	116	17	i.e.	i.e.	X
cana-3617	116	18	)	)	PUNCT
cana-3617	116	19	by	by	ADP
cana-3617	116	20	manipulating	manipulate	VERB
cana-3617	116	21	the	the	DET
cana-3617	116	22	above	above	ADJ
cana-3617	116	23	equation	equation	NOUN
cana-3617	116	24	,	,	PUNCT
cana-3617	116	25	we	we	PRON
cana-3617	116	26	can	can	AUX
cana-3617	116	27	obtain	obtain	VERB
cana-3617	116	28	the	the	DET
cana-3617	116	29	logistic	logistic	ADJ
cana-3617	116	30	equation	equation	NOUN
cana-3617	116	31	of	of	ADP
cana-3617	116	32	the	the	DET
cana-3617	116	33	form	form	NOUN
cana-3617	116	34	:	:	PUNCT
cana-3617	116	35	(	(	PUNCT
cana-3617	116	36	4	4	NUM
cana-3617	116	37	)	)	PUNCT
cana-3617	116	38	upon	upon	SCONJ
cana-3617	116	39	comparing	compare	VERB
cana-3617	116	40	with	with	ADP
cana-3617	116	41	equation	equation	NOUN
cana-3617	116	42	(	(	PUNCT
cana-3617	116	43	3	3	NUM
cana-3617	116	44	)	)	PUNCT
cana-3617	116	45	,	,	PUNCT
cana-3617	116	46	we	we	PRON
cana-3617	116	47	get	get	VERB
cana-3617	116	48	and	and	CCONJ
cana-3617	116	49	moreover	moreover	ADV
cana-3617	116	50	,	,	PUNCT
cana-3617	116	51	further	far	ADV
cana-3617	116	52	rewriting	rewrite	VERB
cana-3617	116	53	equation	equation	NOUN
cana-3617	116	54	(	(	PUNCT
cana-3617	116	55	3	3	X
cana-3617	116	56	)	)	PUNCT
cana-3617	116	57	can	can	AUX
cana-3617	116	58	be	be	AUX
cana-3617	116	59	put	put	VERB
cana-3617	116	60	in	in	ADP
cana-3617	116	61	the	the	DET
cana-3617	116	62	below	below	ADJ
cana-3617	116	63	form	form	NOUN
cana-3617	116	64	:	:	PUNCT
cana-3617	116	65	(	(	PUNCT
cana-3617	116	66	i.e.	i.e.	X
cana-3617	116	67	)	)	PUNCT
cana-3617	116	68	(	(	PUNCT
cana-3617	116	69	5	5	NUM
cana-3617	116	70	)	)	PUNCT
cana-3617	116	71	‘	'	PUNCT
cana-3617	116	72	m	m	NOUN
cana-3617	116	73	’	'	PUNCT
cana-3617	116	74	in	in	ADP
cana-3617	116	75	the	the	DET
cana-3617	116	76	logistic	logistic	ADJ
cana-3617	116	77	model	model	NOUN
cana-3617	116	78	is	be	AUX
cana-3617	116	79	the	the	DET
cana-3617	116	80	maximum	maximum	ADJ
cana-3617	116	81	population	population	NOUN
cana-3617	116	82	capacity	capacity	NOUN
cana-3617	116	83	.	.	PUNCT
cana-3617	117	1	m	m	PROPN
cana-3617	117	2	's	's	PART
cana-3617	117	3	value	value	NOUN
cana-3617	117	4	represents	represent	VERB
cana-3617	117	5	the	the	DET
cana-3617	117	6	population	population	NOUN
cana-3617	117	7	with	with	ADP
cana-3617	117	8	equal	equal	ADJ
cana-3617	117	9	birth	birth	NOUN
cana-3617	117	10	and	and	CCONJ
cana-3617	117	11	death	death	NOUN
cana-3617	117	12	rates	rate	NOUN
cana-3617	117	13	.	.	PUNCT
cana-3617	118	1	if	if	SCONJ
cana-3617	118	2	the	the	DET
cana-3617	118	3	rates	rate	NOUN
cana-3617	118	4	are	be	AUX
cana-3617	118	5	equal	equal	ADJ
cana-3617	118	6	,	,	PUNCT
cana-3617	118	7	the	the	DET
cana-3617	118	8	population	population	NOUN
cana-3617	118	9	will	will	AUX
cana-3617	118	10	not	not	PART
cana-3617	118	11	change	change	VERB
cana-3617	118	12	.	.	PUNCT
cana-3617	119	1	thus	thus	ADV
cana-3617	119	2	,	,	PUNCT
cana-3617	119	3	as	as	SCONJ
cana-3617	119	4	p	p	NOUN
cana-3617	119	5	increases	increase	NOUN
cana-3617	119	6	and	and	CCONJ
cana-3617	119	7	gets	get	VERB
cana-3617	119	8	closer	close	ADJ
cana-3617	119	9	to	to	ADP
cana-3617	119	10	m	m	PRON
cana-3617	119	11	,	,	PUNCT
cana-3617	119	12	the	the	DET
cana-3617	119	13	birth	birth	NOUN
cana-3617	119	14	rate	rate	NOUN
cana-3617	119	15	becomes	become	VERB
cana-3617	119	16	more	more	ADV
cana-3617	119	17	comparable	comparable	ADJ
cana-3617	119	18	to	to	ADP
cana-3617	119	19	the	the	DET
cana-3617	119	20	death	death	NOUN
cana-3617	119	21	rate	rate	NOUN
cana-3617	119	22	,	,	PUNCT
cana-3617	119	23	and	and	CCONJ
cana-3617	119	24	we	we	PRON
cana-3617	119	25	find	find	VERB
cana-3617	119	26	the	the	DET
cana-3617	119	27	population	population	NOUN
cana-3617	119	28	gradually	gradually	ADV
cana-3617	119	29	decreases	decrease	VERB
cana-3617	119	30	as	as	SCONJ
cana-3617	119	31	it	it	PRON
cana-3617	119	32	approaches	approach	VERB
cana-3617	119	33	and	and	CCONJ
cana-3617	119	34	stabilizes	stabilize	VERB
cana-3617	119	35	at	at	ADP
cana-3617	119	36	population	population	NOUN
cana-3617	119	37	level	level	NOUN
cana-3617	119	38	m.	m.	NOUN
cana-3617	119	39	this	this	PRON
cana-3617	119	40	can	can	AUX
cana-3617	119	41	be	be	AUX
cana-3617	119	42	seen	see	VERB
cana-3617	119	43	algebraically	algebraically	ADV
cana-3617	119	44	:	:	PUNCT
cana-3617	119	45	at	at	ADP
cana-3617	119	46	maximum	maximum	ADJ
cana-3617	119	47	population	population	NOUN
cana-3617	119	48	capacity	capacity	NOUN
cana-3617	119	49	m	m	PRON
cana-3617	119	50	,	,	PUNCT
cana-3617	119	51	we	we	PRON
cana-3617	119	52	have	have	VERB
cana-3617	119	53	birth	birth	NOUN
cana-3617	119	54	rate	rate	NOUN
cana-3617	119	55	=	=	NOUN
cana-3617	119	56	death	death	NOUN
cana-3617	119	57	rate	rate	NOUN
cana-3617	119	58	.	.	PUNCT
cana-3617	120	1	(	(	PUNCT
cana-3617	120	2	i.e.	i.e.	X
cana-3617	120	3	)	)	PUNCT
cana-3617	120	4	from	from	ADP
cana-3617	120	5	which	which	PRON
cana-3617	120	6	we	we	PRON
cana-3617	120	7	can	can	AUX
cana-3617	120	8	obtain	obtain	VERB
cana-3617	120	9	the	the	DET
cana-3617	120	10	value	value	NOUN
cana-3617	120	11	of	of	ADP
cana-3617	120	12	p	p	NOUN
cana-3617	120	13	is	be	AUX
cana-3617	120	14	the	the	DET
cana-3617	120	15	value	value	NOUN
cana-3617	120	16	that	that	PRON
cana-3617	120	17	makes	make	VERB
cana-3617	120	18	the	the	DET
cana-3617	120	19	death	death	NOUN
cana-3617	120	20	rate	rate	NOUN
cana-3617	120	21	equal	equal	ADJ
cana-3617	120	22	to	to	ADP
cana-3617	120	23	the	the	DET
cana-3617	120	24	birth	birth	NOUN
cana-3617	120	25	rate	rate	NOUN
cana-3617	120	26	,	,	PUNCT
cana-3617	120	27	and	and	CCONJ
cana-3617	120	28	we	we	PRON
cana-3617	120	29	can	can	AUX
cana-3617	120	30	see	see	VERB
cana-3617	120	31	this	this	PRON
cana-3617	120	32	in	in	ADP
cana-3617	120	33	equation	equation	NOUN
cana-3617	120	34	(	(	PUNCT
cana-3617	120	35	4	4	X
cana-3617	120	36	)	)	PUNCT
cana-3617	120	37	is	be	AUX
cana-3617	120	38	the	the	DET
cana-3617	120	39	same	same	ADJ
cana-3617	120	40	as	as	ADP
cana-3617	120	41	‘	'	PUNCT
cana-3617	120	42	m	m	PROPN
cana-3617	120	43	,	,	PUNCT
cana-3617	120	44	’	'	PUNCT
cana-3617	120	45	which	which	PRON
cana-3617	120	46	is	be	AUX
cana-3617	120	47	the	the	DET
cana-3617	120	48	maximum	maximum	ADJ
cana-3617	120	49	capacity	capacity	NOUN
cana-3617	120	50	of	of	ADP
cana-3617	120	51	the	the	DET
cana-3617	120	52	logistic	logistic	ADJ
cana-3617	120	53	model	model	NOUN
cana-3617	120	54	.	.	PUNCT
cana-3617	121	1	communications	communication	NOUN
cana-3617	121	2	on	on	ADP
cana-3617	121	3	applied	apply	VERB
cana-3617	121	4	nonlinear	nonlinear	ADJ
cana-3617	121	5	analysis	analysis	NOUN
cana-3617	121	6	issn	issn	NOUN
cana-3617	121	7	:	:	PUNCT
cana-3617	121	8	1074	1074	NUM
cana-3617	121	9	-	-	PUNCT
cana-3617	121	10	133x	133x	NUM
cana-3617	121	11	vol	vol	NOUN
cana-3617	121	12	32	32	NUM
cana-3617	121	13	no	no	NOUN
cana-3617	121	14	.	.	PUNCT
cana-3617	122	1	8s	8s	PROPN
cana-3617	122	2	(	(	PUNCT
cana-3617	122	3	2025	2025	NUM
cana-3617	122	4	)	)	PUNCT
cana-3617	122	5	172	172	NUM
cana-3617	122	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3617	122	7	a.	a.	NOUN
cana-3617	122	8	the	the	DET
cana-3617	122	9	verhulst	verhulst	ADJ
cana-3617	122	10	-	-	PUNCT
cana-3617	122	11	pearl	pearl	NOUN
cana-3617	122	12	logistic	logistic	ADJ
cana-3617	122	13	growth	growth	NOUN
cana-3617	122	14	model	model	NOUN
cana-3617	122	15	equation	equation	NOUN
cana-3617	122	16	(	(	PUNCT
cana-3617	122	17	5	5	NUM
cana-3617	122	18	)	)	PUNCT
cana-3617	122	19	is	be	AUX
cana-3617	122	20	the	the	DET
cana-3617	122	21	logistic	logistic	ADJ
cana-3617	122	22	law	law	NOUN
cana-3617	122	23	of	of	ADP
cana-3617	122	24	population	population	NOUN
cana-3617	122	25	growth	growth	NOUN
cana-3617	122	26	described	describe	VERB
cana-3617	122	27	by	by	ADP
cana-3617	122	28	verhulst	verhulst	NOUN
cana-3617	122	29	-	-	PUNCT
cana-3617	122	30	pearl	pearl	NOUN
cana-3617	122	31	as	as	ADP
cana-3617	122	32	below	below	ADV
cana-3617	122	33	:	:	PUNCT
cana-3617	122	34	(	(	PUNCT
cana-3617	122	35	6	6	NUM
cana-3617	122	36	)	)	PUNCT
cana-3617	122	37	where	where	SCONJ
cana-3617	122	38	n	n	PRON
cana-3617	122	39	is	be	AUX
cana-3617	122	40	the	the	DET
cana-3617	122	41	number	number	NOUN
cana-3617	122	42	of	of	ADP
cana-3617	122	43	individuals	individual	NOUN
cana-3617	122	44	in	in	ADP
cana-3617	122	45	the	the	DET
cana-3617	122	46	population	population	NOUN
cana-3617	122	47	,	,	PUNCT
cana-3617	122	48	r	r	NOUN
cana-3617	122	49	is	be	AUX
cana-3617	122	50	the	the	DET
cana-3617	122	51	intrinsic	intrinsic	ADJ
cana-3617	122	52	rate	rate	NOUN
cana-3617	122	53	of	of	ADP
cana-3617	122	54	change	change	NOUN
cana-3617	122	55	,	,	PUNCT
cana-3617	122	56	and	and	CCONJ
cana-3617	122	57	k	k	PROPN
cana-3617	122	58	is	be	AUX
cana-3617	122	59	the	the	DET
cana-3617	122	60	environment	environment	NOUN
cana-3617	122	61	's	's	PART
cana-3617	122	62	carrying	carrying	NOUN
cana-3617	122	63	capacity	capacity	NOUN
cana-3617	122	64	.	.	PUNCT
cana-3617	123	1	we	we	PRON
cana-3617	123	2	must	must	AUX
cana-3617	123	3	equate	equate	VERB
cana-3617	123	4	the	the	DET
cana-3617	123	5	derivative	derivative	NOUN
cana-3617	123	6	to	to	ADP
cana-3617	123	7	zero	zero	NUM
cana-3617	123	8	to	to	PART
cana-3617	123	9	obtain	obtain	VERB
cana-3617	123	10	a	a	DET
cana-3617	123	11	differentiable	differentiable	ADJ
cana-3617	123	12	function	function	NOUN
cana-3617	123	13	's	's	PART
cana-3617	123	14	maximum	maximum	ADJ
cana-3617	123	15	,	,	PUNCT
cana-3617	123	16	minimum	minimum	ADJ
cana-3617	123	17	,	,	PUNCT
cana-3617	123	18	or	or	CCONJ
cana-3617	123	19	inflection	inflection	NOUN
cana-3617	123	20	point	point	NOUN
cana-3617	123	21	.	.	PUNCT
cana-3617	124	1	in	in	ADP
cana-3617	124	2	other	other	ADJ
cana-3617	124	3	words	word	NOUN
cana-3617	124	4	,	,	PUNCT
cana-3617	124	5	on	on	ADP
cana-3617	124	6	equating	equate	VERB
cana-3617	124	7	(	(	PUNCT
cana-3617	124	8	i.e.	i.e.	X
cana-3617	124	9	)	)	PUNCT
cana-3617	124	10	instantly	instantly	ADV
cana-3617	124	11	we	we	PRON
cana-3617	124	12	notice	notice	VERB
cana-3617	124	13	that	that	SCONJ
cana-3617	124	14	the	the	DET
cana-3617	124	15	derivative	derivative	NOUN
cana-3617	124	16	will	will	AUX
cana-3617	124	17	be	be	AUX
cana-3617	124	18	zero	zero	NUM
cana-3617	124	19	at	at	ADP
cana-3617	124	20	n	n	PROPN
cana-3617	124	21	=	=	NOUN
cana-3617	124	22	0	0	NUM
cana-3617	124	23	and	and	CCONJ
cana-3617	124	24	n	n	NOUN
cana-3617	124	25	=	=	SYM
cana-3617	124	26	k	k	NOUN
cana-3617	124	27	,	,	PUNCT
cana-3617	124	28	which	which	PRON
cana-3617	124	29	are	be	AUX
cana-3617	124	30	the	the	DET
cana-3617	124	31	solution	solution	NOUN
cana-3617	124	32	to	to	ADP
cana-3617	124	33	the	the	DET
cana-3617	124	34	differential	differential	ADJ
cana-3617	124	35	equation	equation	NOUN
cana-3617	124	36	,	,	PUNCT
cana-3617	124	37	called	call	VERB
cana-3617	124	38	the	the	DET
cana-3617	124	39	equilibrium	equilibrium	NOUN
cana-3617	124	40	solutions	solution	NOUN
cana-3617	124	41	.	.	PUNCT
cana-3617	125	1	by	by	ADP
cana-3617	125	2	analyzing	analyze	VERB
cana-3617	125	3	the	the	DET
cana-3617	125	4	derivate	derivate	NOUN
cana-3617	125	5	of	of	ADP
cana-3617	125	6	n	n	CCONJ
cana-3617	125	7	,	,	PUNCT
cana-3617	125	8	we	we	PRON
cana-3617	125	9	can	can	AUX
cana-3617	125	10	obtain	obtain	VERB
cana-3617	125	11	the	the	DET
cana-3617	125	12	nature	nature	NOUN
cana-3617	125	13	of	of	ADP
cana-3617	125	14	the	the	DET
cana-3617	125	15	solution	solution	NOUN
cana-3617	125	16	to	to	ADP
cana-3617	125	17	the	the	DET
cana-3617	125	18	differential	differential	ADJ
cana-3617	125	19	equation	equation	NOUN
cana-3617	125	20	(	(	PUNCT
cana-3617	125	21	6	6	NUM
cana-3617	125	22	)	)	PUNCT
cana-3617	125	23	.	.	PUNCT
cana-3617	126	1	the	the	DET
cana-3617	126	2	population	population	NOUN
cana-3617	126	3	increases	increase	VERB
cana-3617	126	4	when	when	SCONJ
cana-3617	126	5	n	n	CCONJ
cana-3617	126	6	's	's	PART
cana-3617	126	7	derivative	derivative	NOUN
cana-3617	126	8	is	be	AUX
cana-3617	126	9	positive	positive	ADJ
cana-3617	126	10	,	,	PUNCT
cana-3617	126	11	which	which	PRON
cana-3617	126	12	happens	happen	VERB
cana-3617	126	13	when	when	SCONJ
cana-3617	126	14	the	the	DET
cana-3617	126	15	derivative	derivative	NOUN
cana-3617	126	16	takes	take	VERB
cana-3617	126	17	n	n	CCONJ
cana-3617	126	18	’s	’s	PART
cana-3617	126	19	value	value	NOUN
cana-3617	126	20	between	between	ADP
cana-3617	126	21	0	0	NUM
cana-3617	126	22	and	and	CCONJ
cana-3617	126	23	k.	k.	NOUN
cana-3617	126	24	on	on	ADP
cana-3617	126	25	the	the	DET
cana-3617	126	26	other	other	ADJ
cana-3617	126	27	hand	hand	NOUN
cana-3617	126	28	,	,	PUNCT
cana-3617	126	29	the	the	DET
cana-3617	126	30	population	population	NOUN
cana-3617	126	31	stays	stay	VERB
cana-3617	126	32	at	at	ADP
cana-3617	126	33	the	the	DET
cana-3617	126	34	same	same	ADJ
cana-3617	126	35	level	level	NOUN
cana-3617	126	36	of	of	ADP
cana-3617	126	37	exponential	exponential	ADJ
cana-3617	126	38	growth	growth	NOUN
cana-3617	126	39	when	when	SCONJ
cana-3617	126	40	n	n	PROPN
cana-3617	126	41	=	=	SYM
cana-3617	126	42	k	k	PROPN
cana-3617	126	43	and	and	CCONJ
cana-3617	126	44	starts	start	VERB
cana-3617	126	45	declining	decline	VERB
cana-3617	126	46	otherwise	otherwise	ADV
cana-3617	126	47	as	as	SCONJ
cana-3617	126	48	n	n	PRON
cana-3617	126	49	becomes	become	VERB
cana-3617	126	50	negative	negative	ADJ
cana-3617	126	51	.	.	PUNCT
cana-3617	127	1	we	we	PRON
cana-3617	127	2	also	also	ADV
cana-3617	127	3	observe	observe	VERB
cana-3617	127	4	that	that	SCONJ
cana-3617	127	5	the	the	DET
cana-3617	127	6	solution	solution	NOUN
cana-3617	127	7	tends	tend	VERB
cana-3617	127	8	towards	towards	ADP
cana-3617	127	9	equilibrium	equilibrium	NOUN
cana-3617	127	10	at	at	ADP
cana-3617	127	11	k	k	NOUN
cana-3617	127	12	;	;	PUNCT
cana-3617	127	13	hence	hence	ADV
cana-3617	127	14	the	the	DET
cana-3617	127	15	solution	solution	NOUN
cana-3617	127	16	n	n	CCONJ
cana-3617	127	17	=	=	SYM
cana-3617	127	18	k	k	PROPN
cana-3617	127	19	is	be	AUX
cana-3617	127	20	stable	stable	ADJ
cana-3617	127	21	.	.	PUNCT
cana-3617	128	1	rewriting	rewrite	VERB
cana-3617	128	2	equation	equation	NOUN
cana-3617	128	3	(	(	PUNCT
cana-3617	128	4	5	5	NUM
cana-3617	128	5	)	)	PUNCT
cana-3617	128	6	and	and	CCONJ
cana-3617	128	7	separating	separate	VERB
cana-3617	128	8	the	the	DET
cana-3617	128	9	variables	variable	NOUN
cana-3617	128	10	,	,	PUNCT
cana-3617	128	11	we	we	PRON
cana-3617	128	12	obtain	obtain	VERB
cana-3617	128	13	:	:	PUNCT
cana-3617	128	14	moreover	moreover	ADV
cana-3617	128	15	,	,	PUNCT
cana-3617	128	16	by	by	ADP
cana-3617	128	17	integrating	integrate	VERB
cana-3617	128	18	,	,	PUNCT
cana-3617	128	19	we	we	PRON
cana-3617	128	20	obtain	obtain	VERB
cana-3617	128	21	the	the	DET
cana-3617	128	22	following	follow	VERB
cana-3617	128	23	results	result	NOUN
cana-3617	128	24	:	:	PUNCT
cana-3617	128	25	‘	'	PUNCT
cana-3617	128	26	c	c	X
cana-3617	128	27	’	'	PUNCT
cana-3617	128	28	in	in	ADP
cana-3617	128	29	the	the	DET
cana-3617	128	30	integration	integration	NOUN
cana-3617	128	31	can	can	AUX
cana-3617	128	32	be	be	AUX
cana-3617	128	33	calculated	calculate	VERB
cana-3617	128	34	using	use	VERB
cana-3617	128	35	the	the	DET
cana-3617	128	36	initial	initial	ADJ
cana-3617	128	37	condition	condition	NOUN
cana-3617	128	38	.	.	PUNCT
cana-3617	129	1	further	far	ADV
cana-3617	129	2	,	,	PUNCT
cana-3617	129	3	simplifying	simplify	VERB
cana-3617	129	4	the	the	DET
cana-3617	129	5	solution	solution	NOUN
cana-3617	129	6	to	to	ADP
cana-3617	129	7	the	the	DET
cana-3617	129	8	form	form	NOUN
cana-3617	129	9	as	as	ADP
cana-3617	129	10	below	below	ADV
cana-3617	129	11	:	:	PUNCT
cana-3617	129	12	where	where	SCONJ
cana-3617	129	13	and	and	CCONJ
cana-3617	129	14	k	k	PROPN
cana-3617	129	15	=	=	X
cana-3617	129	16	,	,	PUNCT
cana-3617	129	17	and	and	CCONJ
cana-3617	129	18	,	,	PUNCT
cana-3617	129	19	and	and	CCONJ
cana-3617	129	20	c	c	PROPN
cana-3617	129	21	are	be	AUX
cana-3617	129	22	constants	constant	NOUN
cana-3617	129	23	.	.	PUNCT
cana-3617	130	1	mathematically	mathematically	ADV
cana-3617	130	2	,	,	PUNCT
cana-3617	130	3	as	as	ADP
cana-3617	130	4	time	time	NOUN
cana-3617	130	5	increases	increase	NOUN
cana-3617	130	6	,	,	PUNCT
cana-3617	130	7	the	the	DET
cana-3617	130	8	population	population	NOUN
cana-3617	130	9	reaches	reach	VERB
cana-3617	130	10	a	a	DET
cana-3617	130	11	finite	finite	ADJ
cana-3617	130	12	limit	limit	NOUN
cana-3617	130	13	.	.	PUNCT
cana-3617	131	1	(	(	PUNCT
cana-3617	131	2	i.e.	i.e.	X
cana-3617	131	3	)	)	PUNCT
cana-3617	131	4	p(t	p(t	NOUN
cana-3617	131	5	)	)	PUNCT
cana-3617	131	6	approaches	approach	VERB
cana-3617	131	7	m	m	VERB
cana-3617	131	8	as	as	ADP
cana-3617	131	9	t	t	PROPN
cana-3617	131	10	approaches	approach	VERB
cana-3617	131	11	infinity	infinity	NOUN
cana-3617	131	12	,	,	PUNCT
cana-3617	131	13	and	and	CCONJ
cana-3617	131	14	this	this	DET
cana-3617	131	15	value	value	NOUN
cana-3617	131	16	of	of	ADP
cana-3617	131	17	m	m	PRON
cana-3617	131	18	in	in	ADP
cana-3617	131	19	terms	term	NOUN
cana-3617	131	20	of	of	ADP
cana-3617	131	21	the	the	DET
cana-3617	131	22	birth	birth	NOUN
cana-3617	131	23	and	and	CCONJ
cana-3617	131	24	death	death	NOUN
cana-3617	131	25	rate	rate	NOUN
cana-3617	131	26	is	be	AUX
cana-3617	131	27	referred	refer	VERB
cana-3617	131	28	to	to	ADP
cana-3617	131	29	as	as	ADP
cana-3617	131	30	the	the	DET
cana-3617	131	31	limitation	limitation	NOUN
cana-3617	131	32	of	of	ADP
cana-3617	131	33	the	the	DET
cana-3617	131	34	population	population	NOUN
cana-3617	131	35	.	.	PUNCT
cana-3617	132	1	b.	b.	PROPN
cana-3617	133	1	a	a	DET
cana-3617	133	2	logistic	logistic	ADJ
cana-3617	133	3	model	model	NOUN
cana-3617	133	4	described	describe	VERB
cana-3617	133	5	with	with	ADP
cana-3617	133	6	the	the	DET
cana-3617	133	7	help	help	NOUN
cana-3617	133	8	of	of	ADP
cana-3617	133	9	discrete	discrete	ADJ
cana-3617	133	10	data	datum	NOUN
cana-3617	133	11	in	in	ADP
cana-3617	133	12	dynamic	dynamic	ADJ
cana-3617	133	13	systems	system	NOUN
cana-3617	133	14	,	,	PUNCT
cana-3617	133	15	we	we	PRON
cana-3617	133	16	often	often	ADV
cana-3617	133	17	encounter	encounter	VERB
cana-3617	133	18	p(t	p(t	NOUN
cana-3617	133	19	)	)	PUNCT
cana-3617	133	20	and	and	CCONJ
cana-3617	133	21	pt	pt	NOUN
cana-3617	133	22	,	,	PUNCT
cana-3617	133	23	where	where	SCONJ
cana-3617	133	24	p	p	NOUN
cana-3617	133	25	is	be	AUX
cana-3617	133	26	a	a	DET
cana-3617	133	27	random	random	ADJ
cana-3617	133	28	variable	variable	NOUN
cana-3617	133	29	,	,	PUNCT
cana-3617	133	30	and	and	CCONJ
cana-3617	133	31	t	t	PROPN
cana-3617	133	32	is	be	AUX
cana-3617	133	33	the	the	DET
cana-3617	133	34	time	time	NOUN
cana-3617	133	35	.	.	PUNCT
cana-3617	134	1	if	if	SCONJ
cana-3617	134	2	‘	'	PUNCT
cana-3617	134	3	t	t	X
cana-3617	134	4	’	'	PUNCT
cana-3617	134	5	is	be	AUX
cana-3617	134	6	expressed	express	VERB
cana-3617	134	7	as	as	ADP
cana-3617	134	8	p(t	p(t	NOUN
cana-3617	134	9	)	)	PUNCT
cana-3617	134	10	,	,	PUNCT
cana-3617	134	11	it	it	PRON
cana-3617	134	12	generally	generally	ADV
cana-3617	134	13	denotes	denote	VERB
cana-3617	134	14	a	a	DET
cana-3617	134	15	continuous	continuous	ADJ
cana-3617	134	16	function	function	NOUN
cana-3617	134	17	of	of	ADP
cana-3617	134	18	‘	'	PUNCT
cana-3617	134	19	t.	t.	NOUN
cana-3617	134	20	’	'	PUNCT
cana-3617	134	21	on	on	ADP
cana-3617	134	22	the	the	DET
cana-3617	134	23	other	other	ADJ
cana-3617	134	24	hand	hand	NOUN
cana-3617	134	25	if	if	SCONJ
cana-3617	134	26	‘	'	PUNCT
cana-3617	134	27	t	t	NOUN
cana-3617	134	28	’	'	PUNCT
cana-3617	134	29	is	be	AUX
cana-3617	134	30	expressed	express	VERB
cana-3617	134	31	as	as	ADP
cana-3617	134	32	pt	pt	PROPN
cana-3617	134	33	,	,	PUNCT
cana-3617	134	34	it	it	PRON
cana-3617	134	35	denotes	denote	VERB
cana-3617	134	36	a	a	DET
cana-3617	134	37	discrete	discrete	ADJ
cana-3617	134	38	function	function	NOUN
cana-3617	134	39	.	.	PUNCT
cana-3617	135	1	the	the	DET
cana-3617	135	2	concepts	concept	NOUN
cana-3617	135	3	of	of	ADP
cana-3617	135	4	discrete	discrete	ADJ
cana-3617	135	5	time	time	NOUN
cana-3617	135	6	can	can	AUX
cana-3617	135	7	be	be	AUX
cana-3617	135	8	explained	explain	VERB
cana-3617	135	9	by	by	ADP
cana-3617	135	10	the	the	DET
cana-3617	135	11	method	method	NOUN
cana-3617	135	12	of	of	ADP
cana-3617	135	13	iteration	iteration	NOUN
cana-3617	135	14	.	.	PUNCT
cana-3617	136	1	iteration	iteration	NOUN
cana-3617	136	2	means	mean	VERB
cana-3617	136	3	repetition	repetition	NOUN
cana-3617	136	4	.	.	PUNCT
cana-3617	137	1	an	an	DET
cana-3617	137	2	iterative	iterative	NOUN
cana-3617	137	3	method	method	NOUN
cana-3617	137	4	is	be	AUX
cana-3617	137	5	a	a	DET
cana-3617	137	6	repetitive	repetitive	ADJ
cana-3617	137	7	process	process	NOUN
cana-3617	137	8	that	that	PRON
cana-3617	137	9	generates	generate	VERB
cana-3617	137	10	a	a	DET
cana-3617	137	11	sequence	sequence	NOUN
cana-3617	137	12	of	of	ADP
cana-3617	137	13	outcomes	outcome	NOUN
cana-3617	137	14	.	.	PUNCT
cana-3617	138	1	it	it	PRON
cana-3617	138	2	may	may	AUX
cana-3617	138	3	be	be	AUX
cana-3617	138	4	difficult	difficult	ADJ
cana-3617	138	5	sometimes	sometimes	ADV
cana-3617	138	6	to	to	PART
cana-3617	138	7	find	find	VERB
cana-3617	138	8	the	the	DET
cana-3617	138	9	value	value	NOUN
cana-3617	138	10	of	of	ADP
cana-3617	138	11	the	the	DET
cana-3617	138	12	population	population	NOUN
cana-3617	138	13	p	p	NOUN
cana-3617	138	14	at	at	ADP
cana-3617	138	15	a	a	DET
cana-3617	138	16	given	give	VERB
cana-3617	138	17	period	period	NOUN
cana-3617	138	18	,	,	PUNCT
cana-3617	138	19	and	and	CCONJ
cana-3617	138	20	population	population	NOUN
cana-3617	138	21	-	-	PUNCT
cana-3617	138	22	related	relate	VERB
cana-3617	138	23	data	datum	NOUN
cana-3617	138	24	appears	appear	VERB
cana-3617	138	25	in	in	ADP
cana-3617	138	26	discrete	discrete	ADJ
cana-3617	138	27	form	form	NOUN
cana-3617	138	28	,	,	PUNCT
cana-3617	138	29	so	so	SCONJ
cana-3617	138	30	it	it	PRON
cana-3617	138	31	is	be	AUX
cana-3617	138	32	challenging	challenge	VERB
cana-3617	138	33	to	to	PART
cana-3617	138	34	find	find	VERB
cana-3617	138	35	a	a	DET
cana-3617	138	36	continuous	continuous	ADJ
cana-3617	138	37	set	set	NOUN
cana-3617	138	38	of	of	ADP
cana-3617	138	39	data	datum	NOUN
cana-3617	138	40	for	for	ADP
cana-3617	138	41	the	the	DET
cana-3617	138	42	population	population	NOUN
cana-3617	138	43	change	change	NOUN
cana-3617	138	44	in	in	ADP
cana-3617	138	45	a	a	DET
cana-3617	138	46	specific	specific	ADJ
cana-3617	138	47	time	time	NOUN
cana-3617	138	48	interval	interval	NOUN
cana-3617	138	49	.	.	PUNCT
cana-3617	139	1	the	the	DET
cana-3617	139	2	logistic	logistic	ADJ
cana-3617	139	3	equation	equation	NOUN
cana-3617	139	4	communications	communication	NOUN
cana-3617	139	5	on	on	ADP
cana-3617	139	6	applied	apply	VERB
cana-3617	139	7	nonlinear	nonlinear	ADJ
cana-3617	139	8	analysis	analysis	NOUN
cana-3617	139	9	issn	issn	NOUN
cana-3617	139	10	:	:	PUNCT
cana-3617	139	11	1074	1074	NUM
cana-3617	139	12	-	-	PUNCT
cana-3617	139	13	133x	133x	NUM
cana-3617	139	14	vol	vol	NOUN
cana-3617	139	15	32	32	NUM
cana-3617	139	16	no	no	NOUN
cana-3617	139	17	.	.	PUNCT
cana-3617	140	1	8s	8s	PROPN
cana-3617	140	2	(	(	PUNCT
cana-3617	140	3	2025	2025	NUM
cana-3617	140	4	)	)	PUNCT
cana-3617	140	5	173	173	NUM
cana-3617	140	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3617	140	7	explains	explain	VERB
cana-3617	140	8	the	the	DET
cana-3617	140	9	evolution	evolution	NOUN
cana-3617	140	10	of	of	ADP
cana-3617	140	11	population	population	NOUN
cana-3617	140	12	changes	change	VERB
cana-3617	140	13	over	over	ADP
cana-3617	140	14	time	time	NOUN
cana-3617	140	15	as	as	ADP
cana-3617	140	16	a	a	DET
cana-3617	140	17	continuous	continuous	ADJ
cana-3617	140	18	stream	stream	NOUN
cana-3617	140	19	of	of	ADP
cana-3617	140	20	data	datum	NOUN
cana-3617	140	21	within	within	ADP
cana-3617	140	22	a	a	DET
cana-3617	140	23	specific	specific	ADJ
cana-3617	140	24	time	time	NOUN
cana-3617	140	25	interval	interval	NOUN
cana-3617	140	26	;	;	PUNCT
cana-3617	140	27	however	however	ADV
cana-3617	140	28	,	,	PUNCT
cana-3617	140	29	many	many	ADJ
cana-3617	140	30	species	specie	NOUN
cana-3617	140	31	reproduce	reproduce	VERB
cana-3617	140	32	during	during	ADP
cana-3617	140	33	one	one	NUM
cana-3617	140	34	particular	particular	ADJ
cana-3617	140	35	season	season	NOUN
cana-3617	140	36	or	or	CCONJ
cana-3617	140	37	period	period	NOUN
cana-3617	140	38	,	,	PUNCT
cana-3617	140	39	eventually	eventually	ADV
cana-3617	140	40	making	make	VERB
cana-3617	140	41	the	the	DET
cana-3617	140	42	population	population	NOUN
cana-3617	140	43	change	change	VERB
cana-3617	140	44	as	as	ADP
cana-3617	140	45	a	a	DET
cana-3617	140	46	discrete	discrete	ADJ
cana-3617	140	47	data	datum	NOUN
cana-3617	140	48	set	set	VERB
cana-3617	140	49	.	.	PUNCT
cana-3617	141	1	for	for	ADP
cana-3617	141	2	this	this	DET
cana-3617	141	3	reason	reason	NOUN
cana-3617	141	4	,	,	PUNCT
cana-3617	141	5	it	it	PRON
cana-3617	141	6	may	may	AUX
cana-3617	141	7	be	be	AUX
cana-3617	141	8	better	well	ADJ
cana-3617	141	9	to	to	PART
cana-3617	141	10	describe	describe	VERB
cana-3617	141	11	the	the	DET
cana-3617	141	12	population	population	NOUN
cana-3617	141	13	change	change	NOUN
cana-3617	141	14	as	as	ADP
cana-3617	141	15	a	a	DET
cana-3617	141	16	difference	difference	NOUN
cana-3617	141	17	equation	equation	NOUN
cana-3617	141	18	,	,	PUNCT
cana-3617	141	19	expressing	express	VERB
cana-3617	141	20	the	the	DET
cana-3617	141	21	change	change	NOUN
cana-3617	141	22	as	as	ADP
cana-3617	141	23	a	a	DET
cana-3617	141	24	difference	difference	NOUN
cana-3617	141	25	between	between	ADP
cana-3617	141	26	time	time	NOUN
cana-3617	141	27	intervals	interval	NOUN
cana-3617	141	28	.	.	PUNCT
cana-3617	142	1	a	a	DET
cana-3617	142	2	difference	difference	NOUN
cana-3617	142	3	equation	equation	NOUN
cana-3617	142	4	relates	relate	VERB
cana-3617	142	5	the	the	DET
cana-3617	142	6	independent	independent	ADJ
cana-3617	142	7	variable	variable	ADJ
cana-3617	142	8	,	,	PUNCT
cana-3617	142	9	dependent	dependent	ADJ
cana-3617	142	10	variable	variable	NOUN
cana-3617	142	11	,	,	PUNCT
cana-3617	142	12	and	and	CCONJ
cana-3617	142	13	its	its	PRON
cana-3617	142	14	successive	successive	ADJ
cana-3617	142	15	differences	difference	NOUN
cana-3617	142	16	.	.	PUNCT
cana-3617	143	1	for	for	ADP
cana-3617	143	2	example	example	NOUN
cana-3617	143	3	,	,	PUNCT
cana-3617	143	4	if	if	SCONJ
cana-3617	143	5	pn	pn	PROPN
cana-3617	143	6	is	be	AUX
cana-3617	143	7	the	the	DET
cana-3617	143	8	population	population	NOUN
cana-3617	143	9	of	of	ADP
cana-3617	143	10	a	a	DET
cana-3617	143	11	species	specie	NOUN
cana-3617	143	12	this	this	DET
cana-3617	143	13	year	year	NOUN
cana-3617	143	14	,	,	PUNCT
cana-3617	143	15	and	and	CCONJ
cana-3617	143	16	pn+1	pn+1	ADJ
cana-3617	143	17	,	,	PUNCT
cana-3617	143	18	is	be	AUX
cana-3617	143	19	the	the	DET
cana-3617	143	20	population	population	NOUN
cana-3617	143	21	of	of	ADP
cana-3617	143	22	the	the	DET
cana-3617	143	23	following	following	ADJ
cana-3617	143	24	year	year	NOUN
cana-3617	143	25	,	,	PUNCT
cana-3617	143	26	then	then	ADV
cana-3617	143	27	the	the	DET
cana-3617	143	28	simplest	simple	ADJ
cana-3617	143	29	form	form	NOUN
cana-3617	143	30	of	of	ADP
cana-3617	143	31	expressing	express	VERB
cana-3617	143	32	the	the	DET
cana-3617	143	33	relation	relation	NOUN
cana-3617	143	34	is	be	AUX
cana-3617	143	35	given	give	VERB
cana-3617	143	36	below	below	ADP
cana-3617	143	37	:	:	PUNCT
cana-3617	143	38	pn+1=	pn+1=	PROPN
cana-3617	143	39	r	r	NOUN
cana-3617	143	40	pn	pn	NOUN
cana-3617	143	41	where	where	SCONJ
cana-3617	143	42	r	r	NOUN
cana-3617	143	43	is	be	AUX
cana-3617	143	44	the	the	DET
cana-3617	143	45	growth	growth	NOUN
cana-3617	143	46	rate	rate	NOUN
cana-3617	143	47	.	.	PUNCT
cana-3617	144	1	through	through	ADP
cana-3617	144	2	this	this	DET
cana-3617	144	3	assumption	assumption	NOUN
cana-3617	144	4	,	,	PUNCT
cana-3617	144	5	we	we	PRON
cana-3617	144	6	can	can	AUX
cana-3617	144	7	approximate	approximate	VERB
cana-3617	144	8	the	the	DET
cana-3617	144	9	population	population	NOUN
cana-3617	144	10	of	of	ADP
cana-3617	144	11	the	the	DET
cana-3617	144	12	species	specie	NOUN
cana-3617	144	13	.	.	PUNCT
cana-3617	145	1	however	however	ADV
cana-3617	145	2	,	,	PUNCT
cana-3617	145	3	the	the	DET
cana-3617	145	4	population	population	NOUN
cana-3617	145	5	is	be	AUX
cana-3617	145	6	bounded	bound	VERB
cana-3617	145	7	by	by	ADP
cana-3617	145	8	the	the	DET
cana-3617	145	9	physical	physical	ADJ
cana-3617	145	10	limits	limit	NOUN
cana-3617	145	11	of	of	ADP
cana-3617	145	12	its	its	PRON
cana-3617	145	13	surroundings	surrounding	NOUN
cana-3617	145	14	,	,	PUNCT
cana-3617	145	15	so	so	CCONJ
cana-3617	145	16	the	the	DET
cana-3617	145	17	above	above	ADJ
cana-3617	145	18	difference	difference	NOUN
cana-3617	145	19	equation	equation	NOUN
cana-3617	145	20	and	and	CCONJ
cana-3617	145	21	be	be	AUX
cana-3617	145	22	modified	modify	VERB
cana-3617	145	23	to	to	PART
cana-3617	145	24	show	show	VERB
cana-3617	145	25	the	the	DET
cana-3617	145	26	limitation	limitation	NOUN
cana-3617	145	27	as	as	ADP
cana-3617	145	28	pn+1=	pn+1=	PROPN
cana-3617	145	29	r	r	PROPN
cana-3617	145	30	pn	pn	PROPN
cana-3617	145	31	(	(	PUNCT
cana-3617	145	32	1pn	1pn	NOUN
cana-3617	145	33	)	)	PUNCT
cana-3617	145	34	the	the	DET
cana-3617	145	35	difference	difference	NOUN
cana-3617	145	36	equation	equation	NOUN
cana-3617	145	37	’s	’s	PART
cana-3617	145	38	solution	solution	NOUN
cana-3617	145	39	can	can	AUX
cana-3617	145	40	be	be	AUX
cana-3617	145	41	obtained	obtain	VERB
cana-3617	145	42	using	use	VERB
cana-3617	145	43	an	an	DET
cana-3617	145	44	iterative	iterative	NOUN
cana-3617	145	45	method	method	NOUN
cana-3617	145	46	,	,	PUNCT
cana-3617	145	47	which	which	PRON
cana-3617	145	48	is	be	AUX
cana-3617	145	49	much	much	ADV
cana-3617	145	50	easier	easy	ADJ
cana-3617	145	51	to	to	PART
cana-3617	145	52	solve	solve	VERB
cana-3617	145	53	than	than	ADP
cana-3617	145	54	a	a	DET
cana-3617	145	55	differential	differential	ADJ
cana-3617	145	56	equation	equation	NOUN
cana-3617	145	57	using	use	VERB
cana-3617	145	58	the	the	DET
cana-3617	145	59	traditional	traditional	ADJ
cana-3617	145	60	way	way	NOUN
cana-3617	145	61	.	.	PUNCT
cana-3617	146	1	moreover	moreover	ADV
cana-3617	146	2	,	,	PUNCT
cana-3617	146	3	the	the	DET
cana-3617	146	4	data	datum	NOUN
cana-3617	146	5	obtained	obtain	VERB
cana-3617	146	6	are	be	AUX
cana-3617	146	7	discrete	discrete	ADJ
cana-3617	146	8	,	,	PUNCT
cana-3617	146	9	so	so	CCONJ
cana-3617	146	10	it	it	PRON
cana-3617	146	11	is	be	AUX
cana-3617	146	12	easy	easy	ADJ
cana-3617	146	13	to	to	PART
cana-3617	146	14	represent	represent	VERB
cana-3617	146	15	them	they	PRON
cana-3617	146	16	in	in	ADP
cana-3617	146	17	discrete	discrete	ADJ
cana-3617	146	18	form	form	NOUN
cana-3617	146	19	.	.	PUNCT
cana-3617	147	1	3	3	X
cana-3617	147	2	.	.	X
cana-3617	147	3	statement	statement	NOUN
cana-3617	147	4	of	of	ADP
cana-3617	147	5	the	the	DET
cana-3617	147	6	problem	problem	NOUN
cana-3617	147	7	india	india	PROPN
cana-3617	147	8	has	have	VERB
cana-3617	147	9	the	the	DET
cana-3617	147	10	most	most	ADV
cana-3617	147	11	significant	significant	ADJ
cana-3617	147	12	number	number	NOUN
cana-3617	147	13	of	of	ADP
cana-3617	147	14	asian	asian	ADJ
cana-3617	147	15	elephants	elephant	NOUN
cana-3617	147	16	,	,	PUNCT
cana-3617	147	17	estimated	estimate	VERB
cana-3617	147	18	above	above	ADP
cana-3617	147	19	25000	25000	NUM
cana-3617	147	20	or	or	CCONJ
cana-3617	147	21	nearly	nearly	ADV
cana-3617	147	22	60	60	NUM
cana-3617	147	23	percent	percent	NOUN
cana-3617	147	24	of	of	ADP
cana-3617	147	25	the	the	DET
cana-3617	147	26	species	specie	NOUN
cana-3617	147	27	'	'	PART
cana-3617	147	28	population	population	NOUN
cana-3617	147	29	.	.	PUNCT
cana-3617	148	1	elephants	elephant	NOUN
cana-3617	148	2	are	be	AUX
cana-3617	148	3	regarded	regard	VERB
cana-3617	148	4	as	as	ADP
cana-3617	148	5	keystone	keystone	PROPN
cana-3617	148	6	species	specie	NOUN
cana-3617	148	7	because	because	SCONJ
cana-3617	148	8	they	they	PRON
cana-3617	148	9	are	be	AUX
cana-3617	148	10	essential	essential	ADJ
cana-3617	148	11	to	to	ADP
cana-3617	148	12	the	the	DET
cana-3617	148	13	health	health	NOUN
cana-3617	148	14	of	of	ADP
cana-3617	148	15	our	our	PRON
cana-3617	148	16	ecosystem	ecosystem	NOUN
cana-3617	148	17	.	.	PUNCT
cana-3617	149	1	keystone	keystone	PROPN
cana-3617	149	2	species	specie	NOUN
cana-3617	149	3	are	be	AUX
cana-3617	149	4	critical	critical	ADJ
cana-3617	149	5	to	to	ADP
cana-3617	149	6	the	the	DET
cana-3617	149	7	ecosystem	ecosystem	NOUN
cana-3617	149	8	's	's	PART
cana-3617	149	9	functioning	functioning	NOUN
cana-3617	149	10	,	,	PUNCT
cana-3617	149	11	many	many	ADJ
cana-3617	149	12	of	of	ADP
cana-3617	149	13	which	which	PRON
cana-3617	149	14	are	be	AUX
cana-3617	149	15	necessary	necessary	ADJ
cana-3617	149	16	for	for	ADP
cana-3617	149	17	other	other	ADJ
cana-3617	149	18	species	specie	NOUN
cana-3617	149	19	'	'	PART
cana-3617	149	20	survival	survival	NOUN
cana-3617	149	21	.	.	PUNCT
cana-3617	150	1	in	in	ADP
cana-3617	150	2	addition	addition	NOUN
cana-3617	150	3	,	,	PUNCT
cana-3617	150	4	elephants	elephant	NOUN
cana-3617	150	5	are	be	AUX
cana-3617	150	6	among	among	ADP
cana-3617	150	7	the	the	DET
cana-3617	150	8	most	most	ADV
cana-3617	150	9	intelligent	intelligent	ADJ
cana-3617	150	10	animals	animal	NOUN
cana-3617	150	11	on	on	ADP
cana-3617	150	12	the	the	DET
cana-3617	150	13	planet	planet	NOUN
cana-3617	150	14	.	.	PUNCT
cana-3617	151	1	elephants	elephant	NOUN
cana-3617	151	2	are	be	AUX
cana-3617	151	3	the	the	DET
cana-3617	151	4	largest	large	ADJ
cana-3617	151	5	terrestrial	terrestrial	ADJ
cana-3617	151	6	animals	animal	NOUN
cana-3617	151	7	and	and	CCONJ
cana-3617	151	8	may	may	AUX
cana-3617	151	9	be	be	AUX
cana-3617	151	10	found	find	VERB
cana-3617	151	11	all	all	ADV
cana-3617	151	12	over	over	ADP
cana-3617	151	13	asia	asia	PROPN
cana-3617	151	14	and	and	CCONJ
cana-3617	151	15	africa	africa	PROPN
cana-3617	151	16	.	.	PUNCT
cana-3617	152	1	despite	despite	SCONJ
cana-3617	152	2	only	only	ADV
cana-3617	152	3	being	be	AUX
cana-3617	152	4	native	native	ADJ
cana-3617	152	5	to	to	ADP
cana-3617	152	6	africa	africa	PROPN
cana-3617	152	7	and	and	CCONJ
cana-3617	152	8	asia	asia	PROPN
cana-3617	152	9	,	,	PUNCT
cana-3617	152	10	elephants	elephant	NOUN
cana-3617	152	11	have	have	VERB
cana-3617	152	12	a	a	DET
cana-3617	152	13	profound	profound	ADJ
cana-3617	152	14	cultural	cultural	ADJ
cana-3617	152	15	and	and	CCONJ
cana-3617	152	16	symbolic	symbolic	ADJ
cana-3617	152	17	importance	importance	NOUN
cana-3617	152	18	worldwide	worldwide	ADV
cana-3617	152	19	.	.	PUNCT
cana-3617	153	1	in	in	ADP
cana-3617	153	2	addition	addition	NOUN
cana-3617	153	3	,	,	PUNCT
cana-3617	153	4	elephants	elephant	NOUN
cana-3617	153	5	are	be	AUX
cana-3617	153	6	essential	essential	ADJ
cana-3617	153	7	in	in	ADP
cana-3617	153	8	helping	help	VERB
cana-3617	153	9	to	to	PART
cana-3617	153	10	shape	shape	VERB
cana-3617	153	11	their	their	PRON
cana-3617	153	12	habitat	habitat	NOUN
cana-3617	153	13	as	as	SCONJ
cana-3617	153	14	they	they	PRON
cana-3617	153	15	directly	directly	ADV
cana-3617	153	16	impact	impact	VERB
cana-3617	153	17	the	the	DET
cana-3617	153	18	composition	composition	NOUN
cana-3617	153	19	and	and	CCONJ
cana-3617	153	20	density	density	NOUN
cana-3617	153	21	of	of	ADP
cana-3617	153	22	the	the	DET
cana-3617	153	23	forest	forest	NOUN
cana-3617	153	24	,	,	PUNCT
cana-3617	153	25	spread	spread	VERB
cana-3617	153	26	seeds	seed	NOUN
cana-3617	153	27	,	,	PUNCT
cana-3617	153	28	and	and	CCONJ
cana-3617	153	29	change	change	VERB
cana-3617	153	30	the	the	DET
cana-3617	153	31	overall	overall	ADJ
cana-3617	153	32	landscape	landscape	NOUN
cana-3617	153	33	.	.	PUNCT
cana-3617	154	1	they	they	PRON
cana-3617	154	2	make	make	VERB
cana-3617	154	3	openings	opening	NOUN
cana-3617	154	4	and	and	CCONJ
cana-3617	154	5	gaps	gap	NOUN
cana-3617	154	6	in	in	ADP
cana-3617	154	7	the	the	DET
cana-3617	154	8	canopy	canopy	NOUN
cana-3617	154	9	in	in	ADP
cana-3617	154	10	the	the	DET
cana-3617	154	11	tropical	tropical	ADJ
cana-3617	154	12	forest	forest	NOUN
cana-3617	154	13	,	,	PUNCT
cana-3617	154	14	which	which	PRON
cana-3617	154	15	promote	promote	VERB
cana-3617	154	16	the	the	DET
cana-3617	154	17	regeneration	regeneration	NOUN
cana-3617	154	18	of	of	ADP
cana-3617	154	19	trees	tree	NOUN
cana-3617	154	20	and	and	CCONJ
cana-3617	154	21	create	create	VERB
cana-3617	154	22	pathways	pathway	NOUN
cana-3617	154	23	for	for	ADP
cana-3617	154	24	other	other	ADJ
cana-3617	154	25	smaller	small	ADJ
cana-3617	154	26	animals	animal	NOUN
cana-3617	154	27	to	to	PART
cana-3617	154	28	use	use	VERB
cana-3617	154	29	.	.	PUNCT
cana-3617	155	1	many	many	ADJ
cana-3617	155	2	plant	plant	NOUN
cana-3617	155	3	species	specie	NOUN
cana-3617	155	4	in	in	ADP
cana-3617	155	5	the	the	DET
cana-3617	155	6	woods	wood	NOUN
cana-3617	155	7	of	of	ADP
cana-3617	155	8	asia	asia	PROPN
cana-3617	155	9	and	and	CCONJ
cana-3617	155	10	africa	africa	PROPN
cana-3617	155	11	require	require	VERB
cana-3617	155	12	the	the	DET
cana-3617	155	13	digestive	digestive	ADJ
cana-3617	155	14	system	system	NOUN
cana-3617	155	15	of	of	ADP
cana-3617	155	16	an	an	DET
cana-3617	155	17	elephant	elephant	NOUN
cana-3617	155	18	for	for	SCONJ
cana-3617	155	19	their	their	PRON
cana-3617	155	20	seeds	seed	NOUN
cana-3617	155	21	to	to	PART
cana-3617	155	22	germinate	germinate	VERB
cana-3617	155	23	.	.	PUNCT
cana-3617	156	1	elephants	elephant	NOUN
cana-3617	156	2	are	be	AUX
cana-3617	156	3	needed	need	VERB
cana-3617	156	4	to	to	PART
cana-3617	156	5	disperse	disperse	VERB
cana-3617	156	6	the	the	DET
cana-3617	156	7	seeds	seed	NOUN
cana-3617	156	8	of	of	ADP
cana-3617	156	9	nearly	nearly	ADV
cana-3617	156	10	one	one	NUM
cana-3617	156	11	-	-	PUNCT
cana-3617	156	12	third	third	NOUN
cana-3617	156	13	of	of	ADP
cana-3617	156	14	the	the	DET
cana-3617	156	15	tree	tree	NOUN
cana-3617	156	16	species	specie	NOUN
cana-3617	156	17	in	in	ADP
cana-3617	156	18	the	the	DET
cana-3617	156	19	forest	forest	NOUN
cana-3617	156	20	of	of	ADP
cana-3617	156	21	central	central	PROPN
cana-3617	156	22	africa	africa	PROPN
cana-3617	156	23	.	.	PUNCT
cana-3617	157	1	elephants	elephant	NOUN
cana-3617	157	2	require	require	VERB
cana-3617	157	3	large	large	ADJ
cana-3617	157	4	tracts	tract	NOUN
cana-3617	157	5	of	of	ADP
cana-3617	157	6	land	land	NOUN
cana-3617	157	7	to	to	PART
cana-3617	157	8	meet	meet	VERB
cana-3617	157	9	their	their	PRON
cana-3617	157	10	ecological	ecological	ADJ
cana-3617	157	11	needs	need	NOUN
cana-3617	157	12	,	,	PUNCT
cana-3617	157	13	which	which	PRON
cana-3617	157	14	include	include	VERB
cana-3617	157	15	food	food	NOUN
cana-3617	157	16	,	,	PUNCT
cana-3617	157	17	water	water	NOUN
cana-3617	157	18	,	,	PUNCT
cana-3617	157	19	and	and	CCONJ
cana-3617	157	20	space	space	NOUN
cana-3617	157	21	.	.	PUNCT
cana-3617	158	1	a	a	DET
cana-3617	158	2	typical	typical	ADJ
cana-3617	158	3	elephant	elephant	NOUN
cana-3617	158	4	can	can	AUX
cana-3617	158	5	feed	feed	VERB
cana-3617	158	6	up	up	ADP
cana-3617	158	7	to	to	PART
cana-3617	158	8	18	18	NUM
cana-3617	158	9	hours	hour	NOUN
cana-3617	158	10	daily	daily	ADV
cana-3617	158	11	and	and	CCONJ
cana-3617	158	12	eat	eat	VERB
cana-3617	158	13	hundreds	hundred	NOUN
cana-3617	158	14	of	of	ADP
cana-3617	158	15	pounds	pound	NOUN
cana-3617	158	16	of	of	ADP
cana-3617	158	17	plant	plant	NOUN
cana-3617	158	18	material	material	NOUN
cana-3617	158	19	.	.	PUNCT
cana-3617	159	1	as	as	ADP
cana-3617	159	2	a	a	DET
cana-3617	159	3	result	result	NOUN
cana-3617	159	4	,	,	PUNCT
cana-3617	159	5	as	as	SCONJ
cana-3617	159	6	they	they	PRON
cana-3617	159	7	lose	lose	VERB
cana-3617	159	8	their	their	PRON
cana-3617	159	9	habitat	habitat	NOUN
cana-3617	159	10	,	,	PUNCT
cana-3617	159	11	they	they	PRON
cana-3617	159	12	frequently	frequently	ADV
cana-3617	159	13	clash	clash	VERB
cana-3617	159	14	with	with	ADP
cana-3617	159	15	humans	human	NOUN
cana-3617	159	16	over	over	ADP
cana-3617	159	17	resources	resource	NOUN
cana-3617	159	18	.	.	PUNCT
cana-3617	160	1	organizations	organization	NOUN
cana-3617	160	2	worldwide	worldwide	ADV
cana-3617	160	3	have	have	AUX
cana-3617	160	4	worked	work	VERB
cana-3617	160	5	for	for	ADP
cana-3617	160	6	decades	decade	NOUN
cana-3617	160	7	to	to	PART
cana-3617	160	8	save	save	VERB
cana-3617	160	9	these	these	DET
cana-3617	160	10	animals	animal	NOUN
cana-3617	160	11	and	and	CCONJ
cana-3617	160	12	secure	secure	VERB
cana-3617	160	13	their	their	PRON
cana-3617	160	14	existence	existence	NOUN
cana-3617	160	15	because	because	SCONJ
cana-3617	160	16	their	their	PRON
cana-3617	160	17	function	function	NOUN
cana-3617	160	18	can	can	AUX
cana-3617	160	19	not	not	PART
cana-3617	160	20	be	be	AUX
cana-3617	160	21	replaced	replace	VERB
cana-3617	160	22	by	by	ADP
cana-3617	160	23	or	or	CCONJ
cana-3617	160	24	carried	carry	VERB
cana-3617	160	25	out	out	ADP
cana-3617	160	26	by	by	ADP
cana-3617	160	27	any	any	DET
cana-3617	160	28	other	other	ADJ
cana-3617	160	29	species(douglas	species(douglas	PROPN
cana-3617	160	30	-	-	PUNCT
cana-3617	160	31	hamilton	hamilton	PROPN
cana-3617	160	32	2024	2024	NUM
cana-3617	160	33	)	)	PUNCT
cana-3617	160	34	.	.	PUNCT
cana-3617	161	1	human	human	ADJ
cana-3617	161	2	expansion	expansion	NOUN
cana-3617	161	3	into	into	ADP
cana-3617	161	4	elephant	elephant	NOUN
cana-3617	161	5	’s	’s	PART
cana-3617	161	6	habitat	habitat	NOUN
cana-3617	161	7	,	,	PUNCT
cana-3617	161	8	along	along	ADP
cana-3617	161	9	with	with	ADP
cana-3617	161	10	agricultural	agricultural	ADJ
cana-3617	161	11	development	development	NOUN
cana-3617	161	12	and	and	CCONJ
cana-3617	161	13	infrastructure	infrastructure	NOUN
cana-3617	161	14	such	such	ADJ
cana-3617	161	15	as	as	ADP
cana-3617	161	16	road	road	NOUN
cana-3617	161	17	canals	canal	NOUN
cana-3617	161	18	and	and	CCONJ
cana-3617	161	19	fences	fence	NOUN
cana-3617	161	20	,	,	PUNCT
cana-3617	161	21	has	have	AUX
cana-3617	161	22	significantly	significantly	ADV
cana-3617	161	23	disoriented	disorient	VERB
cana-3617	161	24	them	they	PRON
cana-3617	161	25	.	.	PUNCT
cana-3617	162	1	in	in	ADP
cana-3617	162	2	addition	addition	NOUN
cana-3617	162	3	,	,	PUNCT
cana-3617	162	4	elephants	elephant	NOUN
cana-3617	162	5	are	be	AUX
cana-3617	162	6	losing	lose	VERB
cana-3617	162	7	their	their	PRON
cana-3617	162	8	habitat	habitat	NOUN
cana-3617	162	9	in	in	ADP
cana-3617	162	10	historic	historic	ADJ
cana-3617	162	11	migration	migration	NOUN
cana-3617	162	12	routes	route	NOUN
cana-3617	162	13	.	.	PUNCT
cana-3617	163	1	asian	asian	ADJ
cana-3617	163	2	elephants	elephant	NOUN
cana-3617	163	3	are	be	AUX
cana-3617	163	4	currently	currently	ADV
cana-3617	163	5	most	most	ADV
cana-3617	163	6	at	at	ADP
cana-3617	163	7	risk	risk	NOUN
cana-3617	163	8	from	from	ADP
cana-3617	163	9	wildlife	wildlife	NOUN
cana-3617	163	10	crime	crime	NOUN
cana-3617	163	11	,	,	PUNCT
cana-3617	163	12	particularly	particularly	ADV
cana-3617	163	13	poaching	poach	VERB
cana-3617	163	14	for	for	ADP
cana-3617	163	15	the	the	DET
cana-3617	163	16	illicit	illicit	ADJ
cana-3617	163	17	ivory	ivory	PROPN
cana-3617	163	18	trade	trade	PROPN
cana-3617	163	19	,	,	PUNCT
cana-3617	163	20	and	and	CCONJ
cana-3617	163	21	are	be	AUX
cana-3617	163	22	highly	highly	ADV
cana-3617	163	23	at	at	ADP
cana-3617	163	24	risk	risk	NOUN
cana-3617	163	25	of	of	ADP
cana-3617	163	26	losing	lose	VERB
cana-3617	163	27	their	their	PRON
cana-3617	163	28	habitat	habitat	NOUN
cana-3617	163	29	due	due	ADP
cana-3617	163	30	to	to	ADP
cana-3617	163	31	human	human	ADJ
cana-3617	163	32	encroachments	encroachment	NOUN
cana-3617	163	33	.	.	PUNCT
cana-3617	164	1	the	the	DET
cana-3617	164	2	international	international	PROPN
cana-3617	164	3	union	union	NOUN
cana-3617	164	4	of	of	ADP
cana-3617	164	5	conservation	conservation	NOUN
cana-3617	164	6	of	of	ADP
cana-3617	164	7	nature	nature	NOUN
cana-3617	164	8	counts	count	VERB
cana-3617	164	9	asian	asian	ADJ
cana-3617	164	10	elephants.we	elephants.we	NOUN
cana-3617	164	11	can	can	AUX
cana-3617	164	12	prevent	prevent	VERB
cana-3617	164	13	elephant	elephant	NOUN
cana-3617	164	14	extinction	extinction	NOUN
cana-3617	164	15	by	by	ADP
cana-3617	164	16	reducing	reduce	VERB
cana-3617	164	17	conflict	conflict	NOUN
cana-3617	164	18	between	between	ADP
cana-3617	164	19	elephants	elephant	NOUN
cana-3617	164	20	and	and	CCONJ
cana-3617	164	21	humans	human	NOUN
cana-3617	164	22	,	,	PUNCT
cana-3617	164	23	increasing	increase	VERB
cana-3617	164	24	poaching	poach	VERB
cana-3617	164	25	preventive	preventive	ADJ
cana-3617	164	26	initiatives	initiative	NOUN
cana-3617	164	27	,	,	PUNCT
cana-3617	164	28	increasing	increase	VERB
cana-3617	164	29	awareness	awareness	NOUN
cana-3617	164	30	of	of	ADP
cana-3617	164	31	stopping	stop	VERB
cana-3617	164	32	the	the	DET
cana-3617	164	33	illegal	illegal	ADJ
cana-3617	164	34	ivory	ivory	NOUN
cana-3617	164	35	trade	trade	NOUN
cana-3617	164	36	,	,	PUNCT
cana-3617	164	37	lowering	lower	VERB
cana-3617	164	38	the	the	DET
cana-3617	164	39	demand	demand	NOUN
cana-3617	164	40	for	for	ADP
cana-3617	164	41	elephant	elephant	NOUN
cana-3617	164	42	ivory	ivory	NOUN
cana-3617	164	43	,	,	PUNCT
cana-3617	164	44	and	and	CCONJ
cana-3617	164	45	protecting	protect	VERB
cana-3617	164	46	elephant	elephant	NOUN
cana-3617	164	47	habitats	habitat	NOUN
cana-3617	164	48	.	.	PUNCT
cana-3617	165	1	communications	communication	NOUN
cana-3617	165	2	on	on	ADP
cana-3617	165	3	applied	apply	VERB
cana-3617	165	4	nonlinear	nonlinear	ADJ
cana-3617	165	5	analysis	analysis	NOUN
cana-3617	165	6	issn	issn	NOUN
cana-3617	165	7	:	:	PUNCT
cana-3617	165	8	1074	1074	NUM
cana-3617	165	9	-	-	PUNCT
cana-3617	165	10	133x	133x	NUM
cana-3617	165	11	vol	vol	NOUN
cana-3617	165	12	32	32	NUM
cana-3617	165	13	no	no	NOUN
cana-3617	165	14	.	.	PUNCT
cana-3617	166	1	8s	8s	PROPN
cana-3617	166	2	(	(	PUNCT
cana-3617	166	3	2025	2025	NUM
cana-3617	166	4	)	)	PUNCT
cana-3617	166	5	174	174	NUM
cana-3617	166	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3617	166	7	by	by	ADP
cana-3617	166	8	2015	2015	NUM
cana-3617	166	9	,	,	PUNCT
cana-3617	166	10	asian	asian	ADJ
cana-3617	166	11	elephants	elephant	NOUN
cana-3617	166	12	had	have	AUX
cana-3617	166	13	lost	lose	VERB
cana-3617	166	14	over	over	ADP
cana-3617	166	15	60	60	NUM
cana-3617	166	16	percent	percent	NOUN
cana-3617	166	17	of	of	ADP
cana-3617	166	18	their	their	PRON
cana-3617	166	19	habitat	habitat	NOUN
cana-3617	166	20	in	in	ADP
cana-3617	166	21	india	india	PROPN
cana-3617	166	22	.	.	PUNCT
cana-3617	167	1	today	today	NOUN
cana-3617	167	2	,	,	PUNCT
cana-3617	167	3	the	the	DET
cana-3617	167	4	known	know	VERB
cana-3617	167	5	elephant	elephant	NOUN
cana-3617	167	6	range	range	NOUN
cana-3617	167	7	is	be	AUX
cana-3617	167	8	much	much	ADV
cana-3617	167	9	smaller	small	ADJ
cana-3617	167	10	.	.	PUNCT
cana-3617	168	1	how	how	SCONJ
cana-3617	168	2	many	many	ADJ
cana-3617	168	3	elephants	elephant	NOUN
cana-3617	168	4	remain	remain	VERB
cana-3617	168	5	and	and	CCONJ
cana-3617	168	6	precisely	precisely	ADV
cana-3617	168	7	where	where	SCONJ
cana-3617	168	8	they	they	PRON
cana-3617	168	9	live	live	VERB
cana-3617	168	10	needs	need	VERB
cana-3617	168	11	to	to	PART
cana-3617	168	12	be	be	AUX
cana-3617	168	13	clarified	clarify	VERB
cana-3617	168	14	.	.	PUNCT
cana-3617	169	1	collecting	collect	VERB
cana-3617	169	2	this	this	DET
cana-3617	169	3	information	information	NOUN
cana-3617	169	4	will	will	AUX
cana-3617	169	5	help	help	VERB
cana-3617	169	6	focus	focus	VERB
cana-3617	169	7	on	on	ADP
cana-3617	169	8	the	the	DET
cana-3617	169	9	conservation	conservation	NOUN
cana-3617	169	10	effort	effort	NOUN
cana-3617	169	11	in	in	ADP
cana-3617	169	12	an	an	DET
cana-3617	169	13	area	area	NOUN
cana-3617	169	14	where	where	SCONJ
cana-3617	169	15	elephants	elephant	NOUN
cana-3617	169	16	are	be	AUX
cana-3617	169	17	in	in	ADP
cana-3617	169	18	danger	danger	NOUN
cana-3617	169	19	.	.	PUNCT
cana-3617	170	1	based	base	VERB
cana-3617	170	2	on	on	ADP
cana-3617	170	3	the	the	DET
cana-3617	170	4	limited	limited	ADJ
cana-3617	170	5	resources	resource	NOUN
cana-3617	170	6	available	available	ADJ
cana-3617	170	7	on	on	ADP
cana-3617	170	8	the	the	DET
cana-3617	170	9	population	population	NOUN
cana-3617	170	10	of	of	ADP
cana-3617	170	11	asian	asian	ADJ
cana-3617	170	12	elephants	elephant	NOUN
cana-3617	170	13	in	in	ADP
cana-3617	170	14	india	india	PROPN
cana-3617	170	15	,	,	PUNCT
cana-3617	170	16	we	we	PRON
cana-3617	170	17	can	can	AUX
cana-3617	170	18	,	,	PUNCT
cana-3617	170	19	to	to	ADP
cana-3617	170	20	some	some	DET
cana-3617	170	21	extent	extent	NOUN
cana-3617	170	22	,	,	PUNCT
cana-3617	170	23	formulate	formulate	VERB
cana-3617	170	24	a	a	DET
cana-3617	170	25	mathematical	mathematical	ADJ
cana-3617	170	26	model	model	NOUN
cana-3617	170	27	through	through	ADP
cana-3617	170	28	which	which	PRON
cana-3617	170	29	we	we	PRON
cana-3617	170	30	can	can	AUX
cana-3617	170	31	predict	predict	VERB
cana-3617	170	32	their	their	PRON
cana-3617	170	33	population	population	NOUN
cana-3617	170	34	and	and	CCONJ
cana-3617	170	35	estimate	estimate	VERB
cana-3617	170	36	the	the	DET
cana-3617	170	37	trend	trend	NOUN
cana-3617	170	38	at	at	ADP
cana-3617	170	39	which	which	PRON
cana-3617	170	40	these	these	DET
cana-3617	170	41	animals	animal	NOUN
cana-3617	170	42	are	be	AUX
cana-3617	170	43	either	either	CCONJ
cana-3617	170	44	decreasing	decrease	VERB
cana-3617	170	45	or	or	CCONJ
cana-3617	170	46	increasing	increase	VERB
cana-3617	170	47	in	in	ADP
cana-3617	170	48	number	number	NOUN
cana-3617	170	49	.	.	PUNCT
cana-3617	171	1	this	this	DET
cana-3617	171	2	study	study	NOUN
cana-3617	171	3	also	also	ADV
cana-3617	171	4	aims	aim	VERB
cana-3617	171	5	to	to	PART
cana-3617	171	6	evaluate	evaluate	VERB
cana-3617	171	7	the	the	DET
cana-3617	171	8	error	error	NOUN
cana-3617	171	9	in	in	ADP
cana-3617	171	10	predicting	predict	VERB
cana-3617	171	11	the	the	DET
cana-3617	171	12	population	population	NOUN
cana-3617	171	13	of	of	ADP
cana-3617	171	14	endangered	endangered	ADJ
cana-3617	171	15	species	specie	NOUN
cana-3617	171	16	,	,	PUNCT
cana-3617	171	17	especially	especially	ADV
cana-3617	171	18	asian	asian	ADJ
cana-3617	171	19	elephants	elephant	NOUN
cana-3617	171	20	,	,	PUNCT
cana-3617	171	21	as	as	SCONJ
cana-3617	171	22	the	the	DET
cana-3617	171	23	available	available	ADJ
cana-3617	171	24	data	datum	NOUN
cana-3617	171	25	is	be	AUX
cana-3617	171	26	limited	limit	VERB
cana-3617	171	27	and	and	CCONJ
cana-3617	171	28	to	to	PART
cana-3617	171	29	correlate	correlate	VERB
cana-3617	171	30	with	with	ADP
cana-3617	171	31	the	the	DET
cana-3617	171	32	actual	actual	ADJ
cana-3617	171	33	data	datum	NOUN
cana-3617	171	34	and	and	CCONJ
cana-3617	171	35	see	see	VERB
cana-3617	171	36	with	with	ADP
cana-3617	171	37	the	the	DET
cana-3617	171	38	help	help	NOUN
cana-3617	171	39	of	of	ADP
cana-3617	171	40	the	the	DET
cana-3617	171	41	derived	derive	VERB
cana-3617	171	42	mathematical	mathematical	ADJ
cana-3617	171	43	model	model	NOUN
cana-3617	171	44	any	any	DET
cana-3617	171	45	changes	change	NOUN
cana-3617	171	46	reflecting	reflect	VERB
cana-3617	171	47	if	if	SCONJ
cana-3617	171	48	authorities	authority	NOUN
cana-3617	171	49	made	make	VERB
cana-3617	171	50	efforts	effort	NOUN
cana-3617	171	51	to	to	PART
cana-3617	171	52	improve	improve	VERB
cana-3617	171	53	conditions	condition	NOUN
cana-3617	171	54	of	of	ADP
cana-3617	171	55	asian	asian	ADJ
cana-3617	171	56	elephants	elephant	NOUN
cana-3617	171	57	in	in	ADP
cana-3617	171	58	india	india	PROPN
cana-3617	171	59	.	.	PUNCT
cana-3617	172	1	4	4	X
cana-3617	172	2	.	.	X
cana-3617	172	3	the	the	DET
cana-3617	172	4	asian	asian	ADJ
cana-3617	172	5	elephant	elephant	NOUN
cana-3617	172	6	population	population	NOUN
cana-3617	172	7	in	in	ADP
cana-3617	172	8	india	india	PROPN
cana-3617	172	9	the	the	DET
cana-3617	172	10	official	official	ADJ
cana-3617	172	11	data	datum	NOUN
cana-3617	172	12	used	use	VERB
cana-3617	172	13	in	in	ADP
cana-3617	172	14	this	this	DET
cana-3617	172	15	study	study	NOUN
cana-3617	172	16	was	be	AUX
cana-3617	172	17	collected	collect	VERB
cana-3617	172	18	over	over	ADP
cana-3617	172	19	nearly	nearly	ADV
cana-3617	172	20	40	40	NUM
cana-3617	172	21	years	year	NOUN
cana-3617	172	22	,	,	PUNCT
cana-3617	172	23	with	with	ADP
cana-3617	172	24	a	a	DET
cana-3617	172	25	census	census	NOUN
cana-3617	172	26	done	do	VERB
cana-3617	172	27	in	in	ADP
cana-3617	172	28	a	a	DET
cana-3617	172	29	gap	gap	NOUN
cana-3617	172	30	of	of	ADP
cana-3617	172	31	every	every	DET
cana-3617	172	32	four	four	NUM
cana-3617	172	33	to	to	PART
cana-3617	172	34	five	five	NUM
cana-3617	172	35	years	year	NOUN
cana-3617	172	36	and	and	CCONJ
cana-3617	172	37	entirely	entirely	ADV
cana-3617	172	38	based	base	VERB
cana-3617	172	39	on	on	ADP
cana-3617	172	40	the	the	DET
cana-3617	172	41	information	information	NOUN
cana-3617	172	42	on	on	ADP
cana-3617	172	43	the	the	DET
cana-3617	172	44	asia	asia	PROPN
cana-3617	172	45	elephant	elephant	NOUN
cana-3617	172	46	population	population	NOUN
cana-3617	172	47	in	in	ADP
cana-3617	172	48	the	the	DET
cana-3617	172	49	indian	indian	PROPN
cana-3617	172	50	subcontinent	subcontinent	PROPN
cana-3617	172	51	.	.	PUNCT
cana-3617	173	1	as	as	ADP
cana-3617	173	2	per	per	ADP
cana-3617	173	3	the	the	DET
cana-3617	173	4	international	international	ADJ
cana-3617	173	5	zoo	zoo	NOUN
cana-3617	173	6	yearbook	yearbook	NOUN
cana-3617	173	7	,	,	PUNCT
cana-3617	173	8	the	the	DET
cana-3617	173	9	population	population	NOUN
cana-3617	173	10	of	of	ADP
cana-3617	173	11	asia	asia	PROPN
cana-3617	173	12	elephants	elephant	NOUN
cana-3617	173	13	in	in	ADP
cana-3617	173	14	2019	2019	NUM
cana-3617	173	15	was	be	AUX
cana-3617	173	16	estimated	estimate	VERB
cana-3617	173	17	to	to	PART
cana-3617	173	18	range	range	VERB
cana-3617	173	19	from	from	ADP
cana-3617	173	20	48,323	48,323	NUM
cana-3617	173	21	to	to	ADP
cana-3617	173	22	51,680	51,680	NUM
cana-3617	173	23	individuals	individual	NOUN
cana-3617	173	24	.	.	PUNCT
cana-3617	174	1	table	table	NOUN
cana-3617	174	2	1	1	NUM
cana-3617	174	3	shows	show	VERB
cana-3617	174	4	the	the	DET
cana-3617	174	5	population	population	NOUN
cana-3617	174	6	of	of	ADP
cana-3617	174	7	asian	asian	ADJ
cana-3617	174	8	elephants	elephant	NOUN
cana-3617	174	9	in	in	ADP
cana-3617	174	10	india	india	PROPN
cana-3617	174	11	between	between	ADP
cana-3617	174	12	1980	1980	NUM
cana-3617	174	13	and	and	CCONJ
cana-3617	174	14	2018(elephant	2018(elephant	ADJ
cana-3617	174	15	population	population	NOUN
cana-3617	174	16	(	(	PUNCT
cana-3617	174	17	afesg	afesg	PROPN
cana-3617	174	18	&	&	CCONJ
cana-3617	174	19	asesg	asesg	PROPN
cana-3617	174	20	)	)	PUNCT
cana-3617	174	21	2019	2019	NUM
cana-3617	174	22	and	and	CCONJ
cana-3617	174	23	swaroop	swaroop	NOUN
cana-3617	174	24	2021	2021	NUM
cana-3617	174	25	)	)	PUNCT
cana-3617	174	26	.	.	PUNCT
cana-3617	175	1	year	year	NOUN
cana-3617	175	2	population	population	NOUN
cana-3617	175	3	1980	1980	NUM
cana-3617	175	4	15627	15627	NUM
cana-3617	175	5	1985	1985	NUM
cana-3617	175	6	18975	18975	NUM
cana-3617	175	7	1989	1989	NUM
cana-3617	175	8	20862	20862	NUM
cana-3617	175	9	1993	1993	NUM
cana-3617	175	10	15604	15604	NUM
cana-3617	175	11	1997	1997	NUM
cana-3617	175	12	25877	25877	NUM
cana-3617	175	13	2002	2002	NUM
cana-3617	175	14	26413	26413	NUM
cana-3617	175	15	2007	2007	NUM
cana-3617	175	16	27694	27694	NUM
cana-3617	175	17	2012	2012	NUM
cana-3617	175	18	29391	29391	NUM
cana-3617	175	19	2017	2017	NUM
cana-3617	175	20	27312	27312	NUM
cana-3617	175	21	2021	2021	NUM
cana-3617	175	22	29964	29964	NUM
cana-3617	175	23	table	table	NOUN
cana-3617	175	24	1	1	NUM
cana-3617	175	25	:	:	PUNCT
cana-3617	175	26	population	population	NOUN
cana-3617	175	27	of	of	ADP
cana-3617	175	28	asian	asian	ADJ
cana-3617	175	29	elephants	elephant	NOUN
cana-3617	175	30	in	in	ADP
cana-3617	175	31	india	india	PROPN
cana-3617	175	32	between	between	ADP
cana-3617	175	33	1980	1980	NUM
cana-3617	175	34	-	-	SYM
cana-3617	175	35	2021	2021	NUM
cana-3617	175	36	plotting	plot	VERB
cana-3617	175	37	the	the	DET
cana-3617	175	38	years	year	NOUN
cana-3617	175	39	(	(	PUNCT
cana-3617	175	40	1980	1980	NUM
cana-3617	175	41	to	to	ADP
cana-3617	175	42	2021	2021	NUM
cana-3617	175	43	)	)	PUNCT
cana-3617	175	44	on	on	ADP
cana-3617	175	45	the	the	DET
cana-3617	175	46	x	x	NOUN
cana-3617	175	47	-	-	NOUN
cana-3617	175	48	axis	axis	NOUN
cana-3617	175	49	and	and	CCONJ
cana-3617	175	50	the	the	DET
cana-3617	175	51	actual	actual	ADJ
cana-3617	175	52	population	population	NOUN
cana-3617	175	53	of	of	ADP
cana-3617	175	54	the	the	DET
cana-3617	175	55	asian	asian	ADJ
cana-3617	175	56	elephant	elephant	NOUN
cana-3617	175	57	in	in	ADP
cana-3617	175	58	india	india	PROPN
cana-3617	175	59	on	on	ADP
cana-3617	175	60	the	the	DET
cana-3617	175	61	y	y	NOUN
cana-3617	175	62	-	-	PUNCT
cana-3617	175	63	axis	axis	NOUN
cana-3617	175	64	,	,	PUNCT
cana-3617	175	65	a	a	DET
cana-3617	175	66	simple	simple	ADJ
cana-3617	175	67	graph	graph	NOUN
cana-3617	175	68	in	in	ADP
cana-3617	175	69	figure	figure	NOUN
cana-3617	175	70	1	1	NUM
cana-3617	175	71	reveals	reveal	VERB
cana-3617	175	72	an	an	DET
cana-3617	175	73	encouraging	encouraging	ADJ
cana-3617	175	74	trend	trend	NOUN
cana-3617	175	75	.	.	PUNCT
cana-3617	176	1	the	the	DET
cana-3617	176	2	graph	graph	NOUN
cana-3617	176	3	indicates	indicate	VERB
cana-3617	176	4	exponential	exponential	ADJ
cana-3617	176	5	growth	growth	NOUN
cana-3617	176	6	,	,	PUNCT
cana-3617	176	7	a	a	DET
cana-3617	176	8	testament	testament	NOUN
cana-3617	176	9	to	to	ADP
cana-3617	176	10	the	the	DET
cana-3617	176	11	success	success	NOUN
cana-3617	176	12	of	of	ADP
cana-3617	176	13	conservation	conservation	NOUN
cana-3617	176	14	efforts	effort	NOUN
cana-3617	176	15	,	,	PUNCT
cana-3617	176	16	with	with	ADP
cana-3617	176	17	a	a	DET
cana-3617	176	18	stable	stable	ADJ
cana-3617	176	19	population	population	NOUN
cana-3617	176	20	of	of	ADP
cana-3617	176	21	nearly	nearly	ADV
cana-3617	176	22	over	over	ADP
cana-3617	176	23	26,000	26,000	NUM
cana-3617	176	24	.	.	PUNCT
cana-3617	177	1	communications	communication	NOUN
cana-3617	177	2	on	on	ADP
cana-3617	177	3	applied	apply	VERB
cana-3617	177	4	nonlinear	nonlinear	ADJ
cana-3617	177	5	analysis	analysis	NOUN
cana-3617	177	6	issn	issn	NOUN
cana-3617	177	7	:	:	PUNCT
cana-3617	177	8	1074	1074	NUM
cana-3617	177	9	-	-	PUNCT
cana-3617	177	10	133x	133x	NUM
cana-3617	177	11	vol	vol	NOUN
cana-3617	177	12	32	32	NUM
cana-3617	177	13	no	no	NOUN
cana-3617	177	14	.	.	PUNCT
cana-3617	178	1	8s	8s	PROPN
cana-3617	178	2	(	(	PUNCT
cana-3617	178	3	2025	2025	NUM
cana-3617	178	4	)	)	PUNCT
cana-3617	178	5	175	175	NUM
cana-3617	178	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3617	178	7	figure	figure	NOUN
cana-3617	178	8	1	1	NUM
cana-3617	178	9	:	:	PUNCT
cana-3617	178	10	the	the	DET
cana-3617	178	11	graph	graph	NOUN
cana-3617	178	12	indicates	indicate	VERB
cana-3617	178	13	the	the	DET
cana-3617	178	14	exponential	exponential	ADJ
cana-3617	178	15	growth	growth	NOUN
cana-3617	178	16	of	of	ADP
cana-3617	178	17	asian	asian	ADJ
cana-3617	178	18	elephants	elephant	NOUN
cana-3617	178	19	in	in	ADP
cana-3617	178	20	india	india	PROPN
cana-3617	178	21	.	.	PUNCT
cana-3617	179	1	5	5	X
cana-3617	179	2	.	.	X
cana-3617	179	3	mathematical	mathematical	ADJ
cana-3617	179	4	model	model	NOUN
cana-3617	179	5	:	:	PUNCT
cana-3617	179	6	logistic	logistic	ADJ
cana-3617	179	7	model	model	NOUN
cana-3617	179	8	the	the	DET
cana-3617	179	9	population	population	NOUN
cana-3617	179	10	at	at	ADP
cana-3617	179	11	time	time	NOUN
cana-3617	179	12	t	t	PROPN
cana-3617	179	13	is	be	AUX
cana-3617	179	14	represented	represent	VERB
cana-3617	179	15	by	by	ADP
cana-3617	179	16	p(t	p(t	NOUN
cana-3617	179	17	)	)	PUNCT
cana-3617	179	18	,	,	PUNCT
cana-3617	179	19	and	and	CCONJ
cana-3617	179	20	the	the	DET
cana-3617	179	21	change	change	NOUN
cana-3617	179	22	in	in	ADP
cana-3617	179	23	population	population	NOUN
cana-3617	179	24	size	size	NOUN
cana-3617	179	25	is	be	AUX
cana-3617	179	26	denoted	denote	VERB
cana-3617	179	27	by	by	ADP
cana-3617	179	28	dp	dp	PROPN
cana-3617	179	29	/	/	SYM
cana-3617	179	30	dt	dt	NOUN
cana-3617	179	31	or	or	CCONJ
cana-3617	179	32	p′(t	p′(t	PROPN
cana-3617	179	33	)	)	PUNCT
cana-3617	179	34	.	.	PUNCT
cana-3617	180	1	we	we	PRON
cana-3617	180	2	will	will	AUX
cana-3617	180	3	assume	assume	VERB
cana-3617	180	4	that	that	SCONJ
cana-3617	180	5	the	the	DET
cana-3617	180	6	population	population	NOUN
cana-3617	180	7	growth	growth	NOUN
cana-3617	180	8	rate	rate	NOUN
cana-3617	180	9	depends	depend	VERB
cana-3617	180	10	solely	solely	ADV
cana-3617	180	11	on	on	ADP
cana-3617	180	12	the	the	DET
cana-3617	180	13	population	population	NOUN
cana-3617	180	14	’s	’s	PART
cana-3617	180	15	size	size	NOUN
cana-3617	180	16	.	.	PUNCT
cana-3617	181	1	the	the	DET
cana-3617	181	2	aforementioned	aforementioned	ADJ
cana-3617	181	3	assumption	assumption	NOUN
cana-3617	181	4	has	have	VERB
cana-3617	181	5	potential	potential	ADJ
cana-3617	181	6	errors	error	NOUN
cana-3617	181	7	;	;	PUNCT
cana-3617	181	8	however	however	ADV
cana-3617	181	9	,	,	PUNCT
cana-3617	181	10	in	in	ADP
cana-3617	181	11	our	our	PRON
cana-3617	181	12	context	context	NOUN
cana-3617	181	13	,	,	PUNCT
cana-3617	181	14	it	it	PRON
cana-3617	181	15	directly	directly	ADV
cana-3617	181	16	concerns	concern	VERB
cana-3617	181	17	the	the	DET
cana-3617	181	18	population	population	NOUN
cana-3617	181	19	estimation	estimation	NOUN
cana-3617	181	20	of	of	ADP
cana-3617	181	21	the	the	DET
cana-3617	181	22	endangered	endangered	ADJ
cana-3617	181	23	asian	asian	ADJ
cana-3617	181	24	elephant	elephant	NOUN
cana-3617	181	25	.	.	PUNCT
cana-3617	182	1	consequently	consequently	ADV
cana-3617	182	2	,	,	PUNCT
cana-3617	182	3	the	the	DET
cana-3617	182	4	population	population	NOUN
cana-3617	182	5	count	count	NOUN
cana-3617	182	6	must	must	AUX
cana-3617	182	7	be	be	AUX
cana-3617	182	8	commensurate	commensurate	ADJ
cana-3617	182	9	with	with	ADP
cana-3617	182	10	the	the	DET
cana-3617	182	11	size	size	NOUN
cana-3617	182	12	of	of	ADP
cana-3617	182	13	the	the	DET
cana-3617	182	14	population	population	NOUN
cana-3617	182	15	.	.	PUNCT
cana-3617	183	1	as	as	SCONJ
cana-3617	183	2	we	we	PRON
cana-3617	183	3	proceed	proceed	VERB
cana-3617	183	4	further	far	ADV
cana-3617	183	5	,	,	PUNCT
cana-3617	183	6	we	we	PRON
cana-3617	183	7	can	can	AUX
cana-3617	183	8	also	also	ADV
cana-3617	183	9	attempt	attempt	VERB
cana-3617	183	10	to	to	PART
cana-3617	183	11	estimate	estimate	VERB
cana-3617	183	12	the	the	DET
cana-3617	183	13	error	error	NOUN
cana-3617	183	14	based	base	VERB
cana-3617	183	15	on	on	ADP
cana-3617	183	16	this	this	DET
cana-3617	183	17	assumption	assumption	NOUN
cana-3617	183	18	and	and	CCONJ
cana-3617	183	19	see	see	VERB
cana-3617	183	20	how	how	SCONJ
cana-3617	183	21	much	much	ADJ
cana-3617	183	22	deviation	deviation	NOUN
cana-3617	183	23	that	that	PRON
cana-3617	183	24	logistic	logistic	ADJ
cana-3617	183	25	model	model	NOUN
cana-3617	183	26	produces	produce	VERB
cana-3617	183	27	.	.	PUNCT
cana-3617	184	1	consider	consider	VERB
cana-3617	184	2	the	the	DET
cana-3617	184	3	logistic	logistic	ADJ
cana-3617	184	4	model	model	NOUN
cana-3617	184	5	described	describe	VERB
cana-3617	184	6	in	in	ADP
cana-3617	184	7	equation	equation	NOUN
cana-3617	184	8	(	(	PUNCT
cana-3617	184	9	6	6	NUM
cana-3617	184	10	)	)	PUNCT
cana-3617	184	11	,	,	PUNCT
cana-3617	184	12	where	where	SCONJ
cana-3617	184	13	p	p	NOUN
cana-3617	184	14	is	be	AUX
cana-3617	184	15	the	the	DET
cana-3617	184	16	population	population	NOUN
cana-3617	184	17	.	.	PUNCT
cana-3617	185	1	(	(	PUNCT
cana-3617	185	2	7	7	X
cana-3617	185	3	)	)	PUNCT
cana-3617	185	4	we	we	PRON
cana-3617	185	5	need	need	VERB
cana-3617	185	6	to	to	PART
cana-3617	185	7	address	address	VERB
cana-3617	185	8	two	two	NUM
cana-3617	185	9	primary	primary	ADJ
cana-3617	185	10	questions	question	NOUN
cana-3617	185	11	to	to	PART
cana-3617	185	12	show	show	VERB
cana-3617	185	13	that	that	SCONJ
cana-3617	185	14	the	the	DET
cana-3617	185	15	model	model	NOUN
cana-3617	185	16	described	describe	VERB
cana-3617	185	17	by	by	ADP
cana-3617	185	18	the	the	DET
cana-3617	185	19	differential	differential	ADJ
cana-3617	185	20	equation	equation	NOUN
cana-3617	185	21	is	be	AUX
cana-3617	185	22	logistic	logistic	ADJ
cana-3617	185	23	.	.	PUNCT
cana-3617	186	1	1.to	1.to	NUM
cana-3617	186	2	get	get	VERB
cana-3617	186	3	a	a	DET
cana-3617	186	4	good	good	ADJ
cana-3617	186	5	fit	fit	NOUN
cana-3617	186	6	,	,	PUNCT
cana-3617	186	7	what	what	PRON
cana-3617	186	8	should	should	AUX
cana-3617	186	9	be	be	AUX
cana-3617	186	10	the	the	DET
cana-3617	186	11	parameter	parameter	NOUN
cana-3617	186	12	value	value	NOUN
cana-3617	186	13	of	of	ADP
cana-3617	186	14	‘	'	PUNCT
cana-3617	186	15	r	r	NOUN
cana-3617	186	16	’	'	PUNCT
cana-3617	186	17	and	and	CCONJ
cana-3617	186	18	‘	'	PUNCT
cana-3617	186	19	k	k	NOUN
cana-3617	186	20	’	'	PUNCT
cana-3617	186	21	?	?	PUNCT
cana-3617	187	1	2.and	2.and	X
cana-3617	187	2	to	to	PART
cana-3617	187	3	identify	identify	VERB
cana-3617	187	4	the	the	DET
cana-3617	187	5	data	datum	NOUN
cana-3617	187	6	to	to	PART
cana-3617	187	7	be	be	AUX
cana-3617	187	8	a	a	DET
cana-3617	187	9	reasonable	reasonable	ADJ
cana-3617	187	10	set	set	NOUN
cana-3617	187	11	to	to	PART
cana-3617	187	12	fit	fit	VERB
cana-3617	187	13	the	the	DET
cana-3617	187	14	logistic	logistic	ADJ
cana-3617	187	15	model	model	NOUN
cana-3617	187	16	6	6	NUM
cana-3617	187	17	.	.	PUNCT
cana-3617	188	1	a	a	DET
cana-3617	188	2	logistic	logistic	ADJ
cana-3617	188	3	model	model	NOUN
cana-3617	188	4	with	with	ADP
cana-3617	188	5	a	a	DET
cana-3617	188	6	difference	difference	NOUN
cana-3617	188	7	equation	equation	NOUN
cana-3617	188	8	we	we	PRON
cana-3617	188	9	have	have	VERB
cana-3617	188	10	a	a	DET
cana-3617	188	11	discrete	discrete	ADJ
cana-3617	188	12	data	datum	NOUN
cana-3617	188	13	set	set	VERB
cana-3617	188	14	of	of	ADP
cana-3617	188	15	the	the	DET
cana-3617	188	16	population	population	NOUN
cana-3617	188	17	of	of	ADP
cana-3617	188	18	asian	asian	ADJ
cana-3617	188	19	elephants	elephant	NOUN
cana-3617	188	20	between	between	ADP
cana-3617	188	21	the	the	DET
cana-3617	188	22	years	year	NOUN
cana-3617	188	23	1980	1980	NUM
cana-3617	188	24	and	and	CCONJ
cana-3617	188	25	2021(hannah	2021(hannah	NUM
cana-3617	188	26	2022	2022	NUM
cana-3617	188	27	)	)	PUNCT
cana-3617	188	28	.	.	PUNCT
cana-3617	189	1	hence	hence	ADV
cana-3617	189	2	,	,	PUNCT
cana-3617	189	3	we	we	PRON
cana-3617	189	4	bring	bring	VERB
cana-3617	189	5	in	in	ADP
cana-3617	189	6	the	the	DET
cana-3617	189	7	idea	idea	NOUN
cana-3617	189	8	of	of	ADP
cana-3617	189	9	comparing	compare	VERB
cana-3617	189	10	the	the	DET
cana-3617	189	11	logistic	logistic	ADJ
cana-3617	189	12	differential	differential	NOUN
cana-3617	189	13	equation	equation	NOUN
cana-3617	189	14	with	with	ADP
cana-3617	189	15	the	the	DET
cana-3617	189	16	difference	difference	NOUN
cana-3617	189	17	equation	equation	NOUN
cana-3617	189	18	,	,	PUNCT
cana-3617	189	19	where	where	SCONJ
cana-3617	189	20	we	we	PRON
cana-3617	189	21	can	can	AUX
cana-3617	189	22	find	find	VERB
cana-3617	189	23	the	the	DET
cana-3617	189	24	difference	difference	NOUN
cana-3617	189	25	in	in	ADP
cana-3617	189	26	the	the	DET
cana-3617	189	27	population	population	NOUN
cana-3617	189	28	between	between	ADP
cana-3617	189	29	years	year	NOUN
cana-3617	189	30	and	and	CCONJ
cana-3617	189	31	compare	compare	VERB
cana-3617	189	32	it	it	PRON
cana-3617	189	33	with	with	ADP
cana-3617	189	34	the	the	DET
cana-3617	189	35	right	right	ADJ
cana-3617	189	36	-	-	PUNCT
cana-3617	189	37	hand	hand	NOUN
cana-3617	189	38	side	side	NOUN
cana-3617	189	39	of	of	ADP
cana-3617	189	40	the	the	DET
cana-3617	189	41	equation	equation	NOUN
cana-3617	189	42	(	(	PUNCT
cana-3617	189	43	7	7	NUM
cana-3617	189	44	)	)	PUNCT
cana-3617	189	45	.	.	PUNCT
cana-3617	190	1	as	as	SCONJ
cana-3617	190	2	the	the	DET
cana-3617	190	3	data	data	NOUN
cana-3617	190	4	is	be	AUX
cana-3617	190	5	discrete	discrete	ADJ
cana-3617	190	6	,	,	PUNCT
cana-3617	190	7	we	we	PRON
cana-3617	190	8	use	use	VERB
cana-3617	190	9	the	the	DET
cana-3617	190	10	previous	previous	ADJ
cana-3617	190	11	value	value	NOUN
cana-3617	190	12	from	from	ADP
cana-3617	190	13	the	the	DET
cana-3617	190	14	system	system	NOUN
cana-3617	190	15	to	to	PART
cana-3617	190	16	evaluate	evaluate	VERB
cana-3617	190	17	the	the	DET
cana-3617	190	18	following	follow	VERB
cana-3617	190	19	values	value	NOUN
cana-3617	190	20	.	.	PUNCT
cana-3617	191	1	equation	equation	NOUN
cana-3617	191	2	(	(	PUNCT
cana-3617	191	3	7	7	NUM
cana-3617	191	4	)	)	PUNCT
cana-3617	191	5	in	in	ADP
cana-3617	191	6	terms	term	NOUN
cana-3617	191	7	of	of	ADP
cana-3617	191	8	differences	difference	NOUN
cana-3617	191	9	can	can	AUX
cana-3617	191	10	be	be	AUX
cana-3617	191	11	expressed	express	VERB
cana-3617	191	12	as	as	ADP
cana-3617	191	13	below	below	ADV
cana-3617	191	14	:	:	PUNCT
cana-3617	191	15	where	where	SCONJ
cana-3617	191	16	t	t	NOUN
cana-3617	191	17	and	and	CCONJ
cana-3617	191	18	t+1	t+1	PRON
cana-3617	191	19	are	be	AUX
cana-3617	191	20	the	the	DET
cana-3617	191	21	successive	successive	ADJ
cana-3617	191	22	time	time	NOUN
cana-3617	191	23	intervals(i.e	intervals(i.e	X
cana-3617	191	24	.	.	PUNCT
cana-3617	191	25	)	)	PUNCT
cana-3617	192	1	(	(	PUNCT
cana-3617	192	2	8)	8)	NUM
cana-3617	192	3	upon	upon	SCONJ
cana-3617	192	4	rearranging	rearrange	VERB
cana-3617	192	5	equation	equation	NOUN
cana-3617	192	6	(	(	PUNCT
cana-3617	192	7	7	7	NUM
cana-3617	192	8	)	)	PUNCT
cana-3617	192	9	,	,	PUNCT
cana-3617	192	10	we	we	PRON
cana-3617	192	11	find	find	VERB
cana-3617	192	12	that	that	SCONJ
cana-3617	192	13	the	the	DET
cana-3617	192	14	ratio	ratio	NOUN
cana-3617	192	15	in	in	ADP
cana-3617	192	16	the	the	DET
cana-3617	192	17	above	above	ADJ
cana-3617	192	18	equation	equation	NOUN
cana-3617	192	19	represents	represent	VERB
cana-3617	192	20	a	a	DET
cana-3617	192	21	linear	linear	ADJ
cana-3617	192	22	equation	equation	NOUN
cana-3617	192	23	in	in	ADP
cana-3617	192	24	p.	p.	NOUN
cana-3617	192	25	to	to	PART
cana-3617	192	26	test	test	VERB
cana-3617	192	27	the	the	DET
cana-3617	192	28	logistic	logistic	ADJ
cana-3617	192	29	behavior	behavior	NOUN
cana-3617	192	30	,	,	PUNCT
cana-3617	192	31	we	we	PRON
cana-3617	192	32	calculate	calculate	VERB
cana-3617	192	33	the	the	DET
cana-3617	192	34	difference	difference	NOUN
cana-3617	192	35	in	in	ADP
cana-3617	192	36	the	the	DET
cana-3617	192	37	population	population	NOUN
cana-3617	192	38	for	for	ADP
cana-3617	192	39	two	two	NUM
cana-3617	192	40	successive	successive	ADJ
cana-3617	192	41	available	available	ADJ
cana-3617	192	42	data	datum	NOUN
cana-3617	192	43	points	point	NOUN
cana-3617	192	44	and	and	CCONJ
cana-3617	192	45	use	use	VERB
cana-3617	192	46	these	these	DET
cana-3617	192	47	differences	difference	NOUN
cana-3617	192	48	against	against	ADP
cana-3617	192	49	the	the	DET
cana-3617	192	50	corresponding	corresponding	ADJ
cana-3617	192	51	function	function	NOUN
cana-3617	192	52	value	value	NOUN
cana-3617	192	53	.	.	PUNCT
cana-3617	193	1	table	table	NOUN
cana-3617	193	2	2	2	NUM
cana-3617	193	3	shows	show	VERB
cana-3617	193	4	the	the	DET
cana-3617	193	5	ratio	ratio	NOUN
cana-3617	193	6	of	of	ADP
cana-3617	193	7	difference	difference	NOUN
cana-3617	193	8	in	in	ADP
cana-3617	193	9	the	the	DET
cana-3617	193	10	population	population	NOUN
cana-3617	193	11	for	for	ADP
cana-3617	193	12	successive	successive	ADJ
cana-3617	193	13	time	time	NOUN
cana-3617	193	14	periods	period	NOUN
cana-3617	193	15	.	.	PUNCT
cana-3617	194	1	communications	communication	NOUN
cana-3617	194	2	on	on	ADP
cana-3617	194	3	applied	apply	VERB
cana-3617	194	4	nonlinear	nonlinear	ADJ
cana-3617	194	5	analysis	analysis	NOUN
cana-3617	194	6	issn	issn	NOUN
cana-3617	194	7	:	:	PUNCT
cana-3617	194	8	1074	1074	NUM
cana-3617	194	9	-	-	PUNCT
cana-3617	194	10	133x	133x	NUM
cana-3617	194	11	vol	vol	NOUN
cana-3617	194	12	32	32	NUM
cana-3617	194	13	no	no	NOUN
cana-3617	194	14	.	.	PUNCT
cana-3617	195	1	8s	8s	PROPN
cana-3617	195	2	(	(	PUNCT
cana-3617	195	3	2025	2025	NUM
cana-3617	195	4	)	)	PUNCT
cana-3617	195	5	176	176	NUM
cana-3617	195	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3617	195	7	ratio	ratio	NOUN
cana-3617	195	8	calculations	calculation	NOUN
cana-3617	195	9	table	table	NOUN
cana-3617	195	10	2	2	NUM
cana-3617	195	11	:	:	PUNCT
cana-3617	195	12	ratio	ratio	NOUN
cana-3617	195	13	showing	show	VERB
cana-3617	195	14	the	the	DET
cana-3617	195	15	population	population	NOUN
cana-3617	195	16	difference	difference	NOUN
cana-3617	195	17	for	for	ADP
cana-3617	195	18	two	two	NUM
cana-3617	195	19	successive	successive	ADJ
cana-3617	195	20	periods	period	NOUN
cana-3617	195	21	.	.	PUNCT
cana-3617	196	1	considering	consider	VERB
cana-3617	196	2	the	the	DET
cana-3617	196	3	ratio	ratio	NOUN
cana-3617	196	4	value	value	NOUN
cana-3617	196	5	with	with	ADP
cana-3617	196	6	the	the	DET
cana-3617	196	7	corresponding	correspond	VERB
cana-3617	196	8	p(population	p(population	NOUN
cana-3617	196	9	)	)	PUNCT
cana-3617	196	10	value	value	NOUN
cana-3617	196	11	,	,	PUNCT
cana-3617	196	12	we	we	PRON
cana-3617	196	13	have	have	VERB
cana-3617	196	14	table	table	NOUN
cana-3617	196	15	3	3	NUM
cana-3617	196	16	formed	form	VERB
cana-3617	196	17	below	below	ADP
cana-3617	196	18	:	:	PUNCT
cana-3617	196	19	table	table	NOUN
cana-3617	196	20	3	3	NUM
cana-3617	196	21	:	:	PUNCT
cana-3617	196	22	ratio	ratio	NOUN
cana-3617	196	23	with	with	ADP
cana-3617	196	24	the	the	DET
cana-3617	196	25	corresponding	corresponding	ADJ
cana-3617	196	26	population	population	NOUN
cana-3617	196	27	to	to	PART
cana-3617	196	28	estimate	estimate	VERB
cana-3617	196	29	the	the	DET
cana-3617	196	30	linearity	linearity	NOUN
cana-3617	196	31	if	if	SCONJ
cana-3617	196	32	we	we	PRON
cana-3617	196	33	can	can	AUX
cana-3617	196	34	show	show	VERB
cana-3617	196	35	that	that	SCONJ
cana-3617	196	36	the	the	DET
cana-3617	196	37	plots	plot	NOUN
cana-3617	196	38	of	of	ADP
cana-3617	196	39	the	the	DET
cana-3617	196	40	ratio	ratio	NOUN
cana-3617	196	41	value	value	NOUN
cana-3617	196	42	against	against	ADP
cana-3617	196	43	the	the	DET
cana-3617	196	44	p	p	NOUN
cana-3617	196	45	value	value	NOUN
cana-3617	196	46	are	be	AUX
cana-3617	196	47	linear	linear	ADJ
cana-3617	196	48	,	,	PUNCT
cana-3617	196	49	then	then	ADV
cana-3617	196	50	the	the	DET
cana-3617	196	51	model	model	NOUN
cana-3617	196	52	represented	represent	VERB
cana-3617	196	53	by	by	ADP
cana-3617	196	54	the	the	DET
cana-3617	196	55	equations	equation	NOUN
cana-3617	196	56	(	(	PUNCT
cana-3617	196	57	7	7	X
cana-3617	196	58	)	)	PUNCT
cana-3617	196	59	is	be	AUX
cana-3617	196	60	reasonably	reasonably	ADV
cana-3617	196	61	logistic	logistic	ADJ
cana-3617	196	62	.	.	PUNCT
cana-3617	197	1	figure	figure	NOUN
cana-3617	197	2	2	2	NUM
cana-3617	197	3	shows	show	VERB
cana-3617	197	4	the	the	DET
cana-3617	197	5	least	least	ADJ
cana-3617	197	6	-	-	PUNCT
cana-3617	197	7	square	square	NOUN
cana-3617	197	8	approximation	approximation	NOUN
cana-3617	197	9	graph	graph	NOUN
cana-3617	197	10	using	use	VERB
cana-3617	197	11	the	the	DET
cana-3617	197	12	data	datum	NOUN
cana-3617	197	13	from	from	ADP
cana-3617	197	14	table	table	NOUN
cana-3617	197	15	2	2	NUM
cana-3617	197	16	.	.	PUNCT
cana-3617	198	1	it	it	PRON
cana-3617	198	2	offers	offer	VERB
cana-3617	198	3	the	the	DET
cana-3617	198	4	linear	linear	ADJ
cana-3617	198	5	approximation	approximation	NOUN
cana-3617	198	6	line	line	NOUN
cana-3617	198	7	given	give	VERB
cana-3617	198	8	in	in	ADP
cana-3617	198	9	equation	equation	NOUN
cana-3617	198	10	(	(	PUNCT
cana-3617	198	11	9	9	NUM
cana-3617	198	12	)	)	PUNCT
cana-3617	198	13	.	.	PUNCT
cana-3617	199	1	y	y	NOUN
cana-3617	199	2	=	=	PUNCT
cana-3617	199	3	-0.00003x	-0.00003x	PROPN
cana-3617	200	1	+	+	NUM
cana-3617	200	2	0.7115	0.7115	NUM
cana-3617	200	3	(	(	PUNCT
cana-3617	200	4	9	9	NUM
cana-3617	200	5	)	)	PUNCT
cana-3617	200	6	a1=	a1=	PROPN
cana-3617	200	7	0.214245	0.214245	NUM
cana-3617	200	8	a2=	a2=	PROPN
cana-3617	200	9	0.099447	0.099447	NUM
cana-3617	200	10	a3=	a3=	NOUN
cana-3617	200	11	-0.25204	-0.25204	PROPN
cana-3617	200	12	a4=	a4=	PROPN
cana-3617	200	13	0.658357	0.658357	NUM
cana-3617	200	14	a5=	a5=	PROPN
cana-3617	200	15	0.020713	0.020713	NUM
cana-3617	200	16	a6=	a6=	NOUN
cana-3617	200	17	0.048499	0.048499	NUM
cana-3617	200	18	a7=	a7=	PROPN
cana-3617	200	19	0.061277	0.061277	NUM
cana-3617	200	20	a8=	a8=	PROPN
cana-3617	200	21	-0.07074	-0.07074	PROPN
cana-3617	200	22	a9=	a9=	PROPN
cana-3617	200	23	=	=	PRON
cana-3617	200	24	0.097100	0.097100	NUM
cana-3617	200	25	a	a	DET
cana-3617	200	26	-value	-value	ADJ
cana-3617	200	27	p(t	p(t	NOUN
cana-3617	200	28	)	)	PUNCT
cana-3617	201	1	0.214245	0.214245	NUM
cana-3617	201	2	15627	15627	NUM
cana-3617	201	3	0.099447	0.099447	NUM
cana-3617	201	4	18975	18975	NUM
cana-3617	201	5	-0.25204	-0.25204	NOUN
cana-3617	201	6	20862	20862	NUM
cana-3617	201	7	0.658357	0.658357	NUM
cana-3617	201	8	15604	15604	NUM
cana-3617	201	9	0.020713	0.020713	NUM
cana-3617	201	10	25877	25877	NUM
cana-3617	201	11	0.048499	0.048499	NUM
cana-3617	201	12	26413	26413	NUM
cana-3617	201	13	0.061277	0.061277	NUM
cana-3617	201	14	27694	27694	NUM
cana-3617	201	15	-0.07074	-0.07074	PROPN
cana-3617	201	16	29391	29391	NUM
cana-3617	201	17	0.097100	0.097100	NUM
cana-3617	201	18	27312	27312	NUM
cana-3617	201	19	communications	communication	NOUN
cana-3617	201	20	on	on	ADP
cana-3617	201	21	applied	apply	VERB
cana-3617	201	22	nonlinear	nonlinear	ADJ
cana-3617	201	23	analysis	analysis	NOUN
cana-3617	201	24	issn	issn	NOUN
cana-3617	201	25	:	:	PUNCT
cana-3617	201	26	1074	1074	NUM
cana-3617	201	27	-	-	PUNCT
cana-3617	201	28	133x	133x	NUM
cana-3617	201	29	vol	vol	NOUN
cana-3617	201	30	32	32	NUM
cana-3617	201	31	no	no	NOUN
cana-3617	201	32	.	.	PUNCT
cana-3617	202	1	8s	8s	PROPN
cana-3617	202	2	(	(	PUNCT
cana-3617	202	3	2025	2025	NUM
cana-3617	202	4	)	)	PUNCT
cana-3617	202	5	177	177	NUM
cana-3617	202	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3617	202	7	figure2	figure2	ADJ
cana-3617	202	8	:	:	PUNCT
cana-3617	202	9	least	least	ADJ
cana-3617	202	10	-	-	PUNCT
cana-3617	202	11	square	square	NOUN
cana-3617	202	12	approximation	approximation	NOUN
cana-3617	202	13	graph	graph	NOUN
cana-3617	202	14	to	to	PART
cana-3617	202	15	show	show	VERB
cana-3617	202	16	the	the	DET
cana-3617	202	17	linearity	linearity	NOUN
cana-3617	202	18	using	use	VERB
cana-3617	202	19	the	the	DET
cana-3617	202	20	ratio(a	ratio(a	NOUN
cana-3617	202	21	)	)	PUNCT
cana-3617	202	22	from	from	ADP
cana-3617	202	23	table	table	NOUN
cana-3617	202	24	3	3	NUM
cana-3617	202	25	it	it	PRON
cana-3617	202	26	is	be	AUX
cana-3617	202	27	seen	see	VERB
cana-3617	202	28	that	that	SCONJ
cana-3617	202	29	the	the	DET
cana-3617	202	30	ratio	ratio	NOUN
cana-3617	202	31	value	value	NOUN
cana-3617	202	32	‘	'	PUNCT
cana-3617	202	33	a	a	PRON
cana-3617	202	34	’	'	PUNCT
cana-3617	202	35	can	can	AUX
cana-3617	202	36	be	be	AUX
cana-3617	202	37	obtained	obtain	VERB
cana-3617	202	38	at	at	ADP
cana-3617	202	39	various	various	ADJ
cana-3617	202	40	population	population	NOUN
cana-3617	202	41	levels	level	NOUN
cana-3617	202	42	p(t	p(t	VERB
cana-3617	202	43	)	)	PUNCT
cana-3617	202	44	at	at	ADP
cana-3617	202	45	a	a	DET
cana-3617	202	46	given	give	VERB
cana-3617	202	47	time	time	NOUN
cana-3617	202	48	t.	t.	NOUN
cana-3617	202	49	figure	figure	NOUN
cana-3617	202	50	2	2	NUM
cana-3617	202	51	also	also	ADV
cana-3617	202	52	indicates	indicate	VERB
cana-3617	202	53	that	that	SCONJ
cana-3617	202	54	,	,	PUNCT
cana-3617	202	55	except	except	SCONJ
cana-3617	202	56	for	for	ADP
cana-3617	202	57	a	a	DET
cana-3617	202	58	few	few	ADJ
cana-3617	202	59	data	data	NOUN
cana-3617	202	60	points	point	NOUN
cana-3617	202	61	,	,	PUNCT
cana-3617	202	62	most	most	ADV
cana-3617	202	63	estimated	estimate	VERB
cana-3617	202	64	values	value	NOUN
cana-3617	202	65	are	be	AUX
cana-3617	202	66	near	near	ADP
cana-3617	202	67	the	the	DET
cana-3617	202	68	least	least	ADJ
cana-3617	202	69	square	square	ADJ
cana-3617	202	70	approximation	approximation	NOUN
cana-3617	202	71	line	line	NOUN
cana-3617	202	72	.	.	PUNCT
cana-3617	203	1	hence	hence	ADV
cana-3617	203	2	,	,	PUNCT
cana-3617	203	3	our	our	PRON
cana-3617	203	4	assumption	assumption	NOUN
cana-3617	203	5	for	for	ADP
cana-3617	203	6	equation	equation	NOUN
cana-3617	203	7	(	(	PUNCT
cana-3617	203	8	7	7	X
cana-3617	203	9	)	)	PUNCT
cana-3617	203	10	is	be	AUX
cana-3617	203	11	reasonable	reasonable	ADJ
cana-3617	203	12	that	that	SCONJ
cana-3617	203	13	the	the	DET
cana-3617	203	14	model	model	NOUN
cana-3617	203	15	shows	show	VERB
cana-3617	203	16	a	a	DET
cana-3617	203	17	logistic	logistic	ADJ
cana-3617	203	18	behavior	behavior	NOUN
cana-3617	203	19	.	.	PUNCT
cana-3617	204	1	7	7	X
cana-3617	204	2	.	.	X
cana-3617	204	3	the	the	DET
cana-3617	204	4	solution	solution	NOUN
cana-3617	204	5	of	of	ADP
cana-3617	204	6	the	the	DET
cana-3617	204	7	model	model	NOUN
cana-3617	204	8	a.	a.	NOUN
cana-3617	204	9	find	find	VERB
cana-3617	204	10	the	the	DET
cana-3617	204	11	value	value	NOUN
cana-3617	204	12	of	of	ADP
cana-3617	204	13	the	the	DET
cana-3617	204	14	parameters	parameter	NOUN
cana-3617	204	15	‘	'	PUNCT
cana-3617	204	16	r	r	NOUN
cana-3617	204	17	’	'	PUNCT
cana-3617	204	18	and	and	CCONJ
cana-3617	204	19	‘	'	PUNCT
cana-3617	204	20	k.	k.	NOUN
cana-3617	204	21	’	'	PUNCT
cana-3617	204	22	from	from	ADP
cana-3617	204	23	the	the	DET
cana-3617	204	24	least	least	ADJ
cana-3617	204	25	square	square	ADJ
cana-3617	204	26	approximation	approximation	NOUN
cana-3617	204	27	(	(	PUNCT
cana-3617	204	28	figure	figure	NOUN
cana-3617	204	29	2	2	NUM
cana-3617	204	30	)	)	PUNCT
cana-3617	204	31	,	,	PUNCT
cana-3617	204	32	we	we	PRON
cana-3617	204	33	have	have	VERB
cana-3617	204	34	the	the	DET
cana-3617	204	35	straight	straight	ADJ
cana-3617	204	36	-	-	PUNCT
cana-3617	204	37	line	line	NOUN
cana-3617	204	38	approximation	approximation	NOUN
cana-3617	204	39	equation	equation	NOUN
cana-3617	204	40	(	(	PUNCT
cana-3617	204	41	9	9	NUM
cana-3617	204	42	)	)	PUNCT
cana-3617	204	43	through	through	ADP
cana-3617	204	44	which	which	PRON
cana-3617	204	45	we	we	PRON
cana-3617	204	46	can	can	AUX
cana-3617	204	47	calculate	calculate	VERB
cana-3617	204	48	the	the	DET
cana-3617	204	49	value	value	NOUN
cana-3617	204	50	of	of	ADP
cana-3617	204	51	y1	y1	NOUN
cana-3617	204	52	and	and	CCONJ
cana-3617	204	53	y2	y2	VERB
cana-3617	204	54	by	by	ADP
cana-3617	204	55	substituting	substitute	VERB
cana-3617	204	56	p(1980	p(1980	PROPN
cana-3617	204	57	)	)	PUNCT
cana-3617	204	58	and	and	CCONJ
cana-3617	204	59	p(1985	p(1985	NUM
cana-3617	204	60	)	)	PUNCT
cana-3617	204	61	(	(	PUNCT
cana-3617	204	62	i.e.	i.e.	X
cana-3617	204	63	)	)	PUNCT
cana-3617	204	64	y1	y1	NOUN
cana-3617	204	65	=	=	PUNCT
cana-3617	204	66	-0.00003(15627	-0.00003(15627	PROPN
cana-3617	204	67	)	)	PUNCT
cana-3617	205	1	+	+	CCONJ
cana-3617	205	2	0.711	0.711	NUM
cana-3617	205	3	=	=	SYM
cana-3617	205	4	0.24219	0.24219	NUM
cana-3617	205	5	and	and	CCONJ
cana-3617	205	6	y2	y2	NOUN
cana-3617	205	7	=	=	SYM
cana-3617	205	8	-0.00003(18975	-0.00003(18975	NOUN
cana-3617	205	9	)	)	PUNCT
cana-3617	206	1	+	+	CCONJ
cana-3617	206	2	0.711	0.711	NUM
cana-3617	206	3	=	=	SYM
cana-3617	206	4	0.14175	0.14175	NUM
cana-3617	206	5	the	the	DET
cana-3617	206	6	1980	1980	NUM
cana-3617	206	7	,	,	PUNCT
cana-3617	206	8	1985	1985	NUM
cana-3617	206	9	,	,	PUNCT
cana-3617	206	10	and	and	CCONJ
cana-3617	206	11	1989	1989	NUM
cana-3617	206	12	data	datum	NOUN
cana-3617	206	13	are	be	AUX
cana-3617	206	14	used	use	VERB
cana-3617	206	15	in	in	ADP
cana-3617	206	16	equation	equation	NOUN
cana-3617	206	17	(	(	PUNCT
cana-3617	206	18	9	9	NUM
cana-3617	206	19	)	)	PUNCT
cana-3617	206	20	.	.	PUNCT
cana-3617	207	1	we	we	PRON
cana-3617	207	2	have	have	VERB
cana-3617	207	3	the	the	DET
cana-3617	207	4	following	follow	VERB
cana-3617	207	5	equations	equation	NOUN
cana-3617	207	6	.	.	PUNCT
cana-3617	208	1	by	by	ADP
cana-3617	208	2	solving	solve	VERB
cana-3617	208	3	the	the	DET
cana-3617	208	4	above	above	ADJ
cana-3617	208	5	equations	equation	NOUN
cana-3617	208	6	,	,	PUNCT
cana-3617	208	7	we	we	PRON
cana-3617	208	8	evaluate	evaluate	VERB
cana-3617	208	9	the	the	DET
cana-3617	208	10	value	value	NOUN
cana-3617	208	11	of	of	ADP
cana-3617	208	12	‘	'	PUNCT
cana-3617	208	13	r	r	NOUN
cana-3617	208	14	’	'	PUNCT
cana-3617	208	15	and	and	CCONJ
cana-3617	208	16	‘	'	PUNCT
cana-3617	208	17	k	k	NOUN
cana-3617	208	18	’	'	PUNCT
cana-3617	208	19	as	as	ADP
cana-3617	208	20	r	r	NOUN
cana-3617	208	21	=	=	NOUN
cana-3617	208	22	0.711	0.711	NUM
cana-3617	208	23	and	and	CCONJ
cana-3617	208	24	k	k	NOUN
cana-3617	208	25	=	=	SYM
cana-3617	208	26	23700	23700	NUM
cana-3617	208	27	hence	hence	ADV
cana-3617	208	28	,	,	PUNCT
cana-3617	208	29	we	we	PRON
cana-3617	208	30	complete	complete	VERB
cana-3617	208	31	the	the	DET
cana-3617	208	32	logistic	logistic	ADJ
cana-3617	208	33	model	model	NOUN
cana-3617	208	34	with	with	ADP
cana-3617	208	35	the	the	DET
cana-3617	208	36	estimated	estimate	VERB
cana-3617	208	37	values	value	NOUN
cana-3617	208	38	of	of	ADP
cana-3617	208	39	‘	'	PUNCT
cana-3617	208	40	r	r	NOUN
cana-3617	208	41	’	'	PUNCT
cana-3617	208	42	and	and	CCONJ
cana-3617	208	43	‘	'	PUNCT
cana-3617	208	44	k.	k.	NOUN
cana-3617	208	45	’	'	PUNCT
cana-3617	208	46	(	(	PUNCT
cana-3617	208	47	10	10	NUM
cana-3617	208	48	)	)	PUNCT
cana-3617	208	49	the	the	DET
cana-3617	208	50	values	value	NOUN
cana-3617	208	51	for	for	ADP
cana-3617	208	52	r	r	NOUN
cana-3617	208	53	and	and	CCONJ
cana-3617	208	54	k	k	PROPN
cana-3617	208	55	obtained	obtain	VERB
cana-3617	208	56	are	be	AUX
cana-3617	208	57	positive	positive	ADJ
cana-3617	208	58	and	and	CCONJ
cana-3617	208	59	have	have	VERB
cana-3617	208	60	biological	biological	ADJ
cana-3617	208	61	significance	significance	NOUN
cana-3617	208	62	.	.	PUNCT
cana-3617	209	1	it	it	PRON
cana-3617	209	2	has	have	AUX
cana-3617	209	3	been	be	AUX
cana-3617	209	4	observed	observe	VERB
cana-3617	209	5	that	that	SCONJ
cana-3617	209	6	p′	p′	NOUN
cana-3617	209	7	is	be	AUX
cana-3617	209	8	approximately	approximately	ADV
cana-3617	209	9	equal	equal	ADJ
cana-3617	209	10	to	to	ADP
cana-3617	209	11	rp	rp	NOUN
cana-3617	209	12	when	when	SCONJ
cana-3617	209	13	p	p	NOUN
cana-3617	209	14	is	be	AUX
cana-3617	209	15	small	small	ADJ
cana-3617	209	16	,	,	PUNCT
cana-3617	209	17	and	and	CCONJ
cana-3617	209	18	p′	p′	NOUN
cana-3617	209	19	equals	equal	VERB
cana-3617	209	20	0	0	NUM
cana-3617	210	1	when	when	SCONJ
cana-3617	210	2	p	p	NOUN
cana-3617	210	3	is	be	AUX
cana-3617	210	4	near	near	ADP
cana-3617	210	5	k.	k.	PROPN
cana-3617	210	6	to	to	PART
cana-3617	210	7	put	put	VERB
cana-3617	210	8	it	it	PRON
cana-3617	210	9	simply	simply	ADV
cana-3617	210	10	,	,	PUNCT
cana-3617	210	11	when	when	SCONJ
cana-3617	210	12	p	p	NOUN
cana-3617	210	13	is	be	AUX
cana-3617	210	14	small	small	ADJ
cana-3617	210	15	,	,	PUNCT
cana-3617	210	16	the	the	DET
cana-3617	210	17	population	population	NOUN
cana-3617	210	18	undergoes	undergo	VERB
cana-3617	210	19	exponential	exponential	ADJ
cana-3617	210	20	growth	growth	NOUN
cana-3617	210	21	.	.	PUNCT
cana-3617	211	1	when	when	SCONJ
cana-3617	211	2	p	p	NOUN
cana-3617	211	3	is	be	AUX
cana-3617	211	4	near	near	ADP
cana-3617	211	5	k	k	NOUN
cana-3617	211	6	,	,	PUNCT
cana-3617	211	7	the	the	DET
cana-3617	211	8	population	population	NOUN
cana-3617	211	9	hardly	hardly	ADV
cana-3617	211	10	changes	change	VERB
cana-3617	211	11	.	.	PUNCT
cana-3617	212	1	by	by	ADP
cana-3617	212	2	solving	solve	VERB
cana-3617	212	3	the	the	DET
cana-3617	212	4	equations	equation	NOUN
cana-3617	212	5	,	,	PUNCT
cana-3617	212	6	we	we	PRON
cana-3617	212	7	find	find	VERB
cana-3617	212	8	that	that	SCONJ
cana-3617	212	9	k	k	PROPN
cana-3617	212	10	equals	equal	VERB
cana-3617	212	11	23700	23700	NUM
cana-3617	212	12	,	,	PUNCT
cana-3617	212	13	which	which	PRON
cana-3617	212	14	estimates	estimate	VERB
cana-3617	212	15	the	the	DET
cana-3617	212	16	population	population	NOUN
cana-3617	212	17	's	's	PART
cana-3617	212	18	carrying	carrying	NOUN
cana-3617	212	19	capacity	capacity	NOUN
cana-3617	212	20	,	,	PUNCT
cana-3617	212	21	representing	represent	VERB
cana-3617	212	22	the	the	DET
cana-3617	212	23	population	population	NOUN
cana-3617	212	24	that	that	PRON
cana-3617	212	25	size	size	VERB
cana-3617	212	26	available	available	ADJ
cana-3617	212	27	resources	resource	NOUN
cana-3617	212	28	can	can	AUX
cana-3617	212	29	continue	continue	VERB
cana-3617	212	30	to	to	PART
cana-3617	212	31	support	support	VERB
cana-3617	212	32	,	,	PUNCT
cana-3617	212	33	with	with	ADP
cana-3617	212	34	a	a	DET
cana-3617	212	35	per	per	X
cana-3617	212	36	capita	capita	X
cana-3617	212	37	intrinsic	intrinsic	ADJ
cana-3617	212	38	growth	growth	NOUN
cana-3617	212	39	rate	rate	NOUN
cana-3617	212	40	value	value	NOUN
cana-3617	212	41	of	of	ADP
cana-3617	212	42	r=	r=	ADJ
cana-3617	212	43	0.711	0.711	NUM
cana-3617	212	44	.	.	PUNCT
cana-3617	213	1	we	we	PRON
cana-3617	213	2	can	can	AUX
cana-3617	213	3	obtain	obtain	VERB
cana-3617	213	4	an	an	DET
cana-3617	213	5	average	average	ADJ
cana-3617	213	6	value	value	NOUN
cana-3617	213	7	of	of	ADP
cana-3617	213	8	k	k	X
cana-3617	213	9	by	by	ADP
cana-3617	213	10	choosing	choose	VERB
cana-3617	213	11	different	different	ADJ
cana-3617	213	12	years	year	NOUN
cana-3617	213	13	.	.	PUNCT
cana-3617	214	1	b.	b.	PROPN
cana-3617	214	2	obtain	obtain	VERB
cana-3617	214	3	a	a	DET
cana-3617	214	4	particular	particular	ADJ
cana-3617	214	5	solution	solution	NOUN
cana-3617	214	6	to	to	ADP
cana-3617	214	7	the	the	DET
cana-3617	214	8	logistic	logistic	ADJ
cana-3617	214	9	model	model	NOUN
cana-3617	214	10	.	.	PUNCT
cana-3617	215	1	equation	equation	NOUN
cana-3617	215	2	(	(	PUNCT
cana-3617	215	3	10	10	NUM
cana-3617	215	4	)	)	PUNCT
cana-3617	215	5	can	can	AUX
cana-3617	215	6	be	be	AUX
cana-3617	215	7	rewritten	rewrite	VERB
cana-3617	215	8	as	as	ADP
cana-3617	215	9	(	(	PUNCT
cana-3617	215	10	11	11	NUM
cana-3617	215	11	)	)	PUNCT
cana-3617	215	12	communications	communication	NOUN
cana-3617	215	13	on	on	ADP
cana-3617	215	14	applied	apply	VERB
cana-3617	215	15	nonlinear	nonlinear	ADJ
cana-3617	215	16	analysis	analysis	NOUN
cana-3617	215	17	issn	issn	NOUN
cana-3617	215	18	:	:	PUNCT
cana-3617	215	19	1074	1074	NUM
cana-3617	215	20	-	-	PUNCT
cana-3617	215	21	133x	133x	NUM
cana-3617	215	22	vol	vol	NOUN
cana-3617	215	23	32	32	NUM
cana-3617	215	24	no	no	NOUN
cana-3617	215	25	.	.	PUNCT
cana-3617	216	1	8s	8s	PROPN
cana-3617	216	2	(	(	PUNCT
cana-3617	216	3	2025	2025	NUM
cana-3617	216	4	)	)	PUNCT
cana-3617	216	5	178	178	NUM
cana-3617	216	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3617	216	7	we	we	PRON
cana-3617	216	8	can	can	AUX
cana-3617	216	9	solve	solve	VERB
cana-3617	216	10	the	the	DET
cana-3617	216	11	above	above	ADJ
cana-3617	216	12	equation	equation	NOUN
cana-3617	216	13	using	use	VERB
cana-3617	216	14	the	the	DET
cana-3617	216	15	integration	integration	NOUN
cana-3617	216	16	technique	technique	NOUN
cana-3617	216	17	.	.	PUNCT
cana-3617	217	1	equilibrium	equilibrium	NOUN
cana-3617	217	2	for	for	ADP
cana-3617	217	3	the	the	DET
cana-3617	217	4	differential	differential	ADJ
cana-3617	217	5	equation	equation	NOUN
cana-3617	217	6	(	(	PUNCT
cana-3617	217	7	10	10	NUM
cana-3617	217	8	)	)	PUNCT
cana-3617	217	9	is	be	AUX
cana-3617	217	10	defined	define	VERB
cana-3617	217	11	as	as	ADP
cana-3617	217	12	the	the	DET
cana-3617	217	13	value	value	NOUN
cana-3617	217	14	xsuch	xsuch	PROPN
cana-3617	217	15	as	as	ADP
cana-3617	217	16	f(x)=0	f(x)=0	NUM
cana-3617	217	17	,	,	PUNCT
cana-3617	217	18	which	which	PRON
cana-3617	217	19	helps	help	VERB
cana-3617	217	20	estimate	estimate	VERB
cana-3617	217	21	the	the	DET
cana-3617	217	22	population	population	NOUN
cana-3617	217	23	's	's	PART
cana-3617	217	24	carrying	carry	VERB
cana-3617	217	25	capacity	capacity	NOUN
cana-3617	217	26	.	.	PUNCT
cana-3617	218	1	particular	particular	ADJ
cana-3617	218	2	solution	solution	NOUN
cana-3617	218	3	to	to	ADP
cana-3617	218	4	the	the	DET
cana-3617	218	5	logistic	logistic	ADJ
cana-3617	218	6	model	model	NOUN
cana-3617	218	7	and	and	CCONJ
cana-3617	218	8	using	use	VERB
cana-3617	218	9	the	the	DET
cana-3617	218	10	technique	technique	NOUN
cana-3617	218	11	of	of	ADP
cana-3617	218	12	variable	variable	ADJ
cana-3617	218	13	separable	separable	NOUN
cana-3617	218	14	further	far	ADV
cana-3617	218	15	,	,	PUNCT
cana-3617	218	16	the	the	DET
cana-3617	218	17	integral	integral	NOUN
cana-3617	218	18	is	be	AUX
cana-3617	218	19	split	split	VERB
cana-3617	218	20	as	as	ADP
cana-3617	218	21	(	(	PUNCT
cana-3617	218	22	i.e.	i.e.	X
cana-3617	218	23	)	)	PUNCT
cana-3617	218	24	(	(	PUNCT
cana-3617	218	25	12	12	NUM
cana-3617	218	26	)	)	PUNCT
cana-3617	218	27	when	when	SCONJ
cana-3617	218	28	t=0	t=0	PROPN
cana-3617	218	29	,	,	PUNCT
cana-3617	218	30	the	the	DET
cana-3617	218	31	corresponding	corresponding	ADJ
cana-3617	218	32	initial	initial	ADJ
cana-3617	218	33	population	population	NOUN
cana-3617	218	34	in	in	ADP
cana-3617	218	35	1980	1980	NUM
cana-3617	218	36	is	be	AUX
cana-3617	218	37	used	use	VERB
cana-3617	218	38	to	to	PART
cana-3617	218	39	calculate	calculate	VERB
cana-3617	218	40	the	the	DET
cana-3617	218	41	integral	integral	ADJ
cana-3617	218	42	constant	constant	ADJ
cana-3617	218	43	(	(	PUNCT
cana-3617	218	44	i.e.	i.e.	X
cana-3617	218	45	)	)	PUNCT
cana-3617	218	46	p0=15627	p0=15627	VERB
cana-3617	218	47	at	at	ADP
cana-3617	218	48	t	t	PROPN
cana-3617	219	1	=	=	SYM
cana-3617	219	2	0	0	PUNCT
cana-3617	219	3	using	use	VERB
cana-3617	219	4	the	the	DET
cana-3617	219	5	‘	'	PUNCT
cana-3617	219	6	c	c	NOUN
cana-3617	219	7	’	'	PUNCT
cana-3617	219	8	value	value	NOUN
cana-3617	219	9	solving	solve	VERB
cana-3617	219	10	the	the	DET
cana-3617	219	11	integral	integral	NOUN
cana-3617	219	12	for	for	ADP
cana-3617	219	13	p	p	PRON
cana-3617	219	14	,	,	PUNCT
cana-3617	219	15	we	we	PRON
cana-3617	219	16	have	have	VERB
cana-3617	219	17	the	the	DET
cana-3617	219	18	final	final	ADJ
cana-3617	219	19	equation	equation	NOUN
cana-3617	219	20	of	of	ADP
cana-3617	219	21	the	the	DET
cana-3617	219	22	logistic	logistic	ADJ
cana-3617	219	23	model	model	NOUN
cana-3617	219	24	.	.	PUNCT
cana-3617	220	1	(	(	PUNCT
cana-3617	220	2	13	13	NUM
cana-3617	220	3	)	)	PUNCT
cana-3617	220	4	as	as	SCONJ
cana-3617	220	5	mentioned	mention	VERB
cana-3617	220	6	,	,	PUNCT
cana-3617	220	7	an	an	DET
cana-3617	220	8	equilibrium	equilibrium	NOUN
cana-3617	220	9	for	for	ADP
cana-3617	220	10	the	the	DET
cana-3617	220	11	differential	differential	ADJ
cana-3617	220	12	equation	equation	NOUN
cana-3617	220	13	(	(	PUNCT
cana-3617	220	14	10	10	NUM
cana-3617	220	15	)	)	PUNCT
cana-3617	220	16	is	be	AUX
cana-3617	220	17	defined	define	VERB
cana-3617	220	18	as	as	ADP
cana-3617	220	19	the	the	DET
cana-3617	220	20	value	value	NOUN
cana-3617	220	21	xsuch	xsuch	PROPN
cana-3617	220	22	as	as	ADP
cana-3617	220	23	f(x)=0	f(x)=0	ADJ
cana-3617	220	24	.	.	PUNCT
cana-3617	221	1	we	we	PRON
cana-3617	221	2	see	see	VERB
cana-3617	221	3	that	that	SCONJ
cana-3617	221	4	if	if	SCONJ
cana-3617	221	5	we	we	PRON
cana-3617	221	6	take	take	VERB
cana-3617	221	7	the	the	DET
cana-3617	221	8	solution	solution	NOUN
cana-3617	221	9	's	's	PART
cana-3617	221	10	limit	limit	NOUN
cana-3617	221	11	as	as	ADP
cana-3617	221	12	‘	'	PUNCT
cana-3617	221	13	t	t	NOUN
cana-3617	221	14	’	'	PUNCT
cana-3617	221	15	tends	tend	VERB
cana-3617	221	16	to	to	PART
cana-3617	221	17	infinity	infinity	VERB
cana-3617	221	18	,	,	PUNCT
cana-3617	221	19	we	we	PRON
cana-3617	221	20	obtain	obtain	VERB
cana-3617	221	21	p(t	p(t	NOUN
cana-3617	221	22	)	)	PUNCT
cana-3617	221	23	=	=	SYM
cana-3617	221	24	23700	23700	NUM
cana-3617	221	25	,	,	PUNCT
cana-3617	221	26	which	which	PRON
cana-3617	221	27	is	be	AUX
cana-3617	221	28	the	the	DET
cana-3617	221	29	population	population	NOUN
cana-3617	221	30	's	's	PART
cana-3617	221	31	carrying	carrying	NOUN
cana-3617	221	32	capacity	capacity	NOUN
cana-3617	221	33	.	.	PUNCT
cana-3617	222	1	c.	c.	NOUN
cana-3617	222	2	comparing	compare	VERB
cana-3617	222	3	the	the	DET
cana-3617	222	4	logistic	logistic	ADJ
cana-3617	222	5	model	model	NOUN
cana-3617	222	6	with	with	ADP
cana-3617	222	7	the	the	DET
cana-3617	222	8	actual	actual	ADJ
cana-3617	222	9	data	datum	NOUN
cana-3617	222	10	once	once	SCONJ
cana-3617	222	11	we	we	PRON
cana-3617	222	12	have	have	AUX
cana-3617	222	13	solved	solve	VERB
cana-3617	222	14	the	the	DET
cana-3617	222	15	differential	differential	ADJ
cana-3617	222	16	equation	equation	NOUN
cana-3617	222	17	(	(	PUNCT
cana-3617	222	18	10	10	NUM
cana-3617	222	19	)	)	PUNCT
cana-3617	222	20	that	that	PRON
cana-3617	222	21	forecasts	forecast	VERB
cana-3617	222	22	the	the	DET
cana-3617	222	23	population	population	NOUN
cana-3617	222	24	growth	growth	NOUN
cana-3617	222	25	of	of	ADP
cana-3617	222	26	asian	asian	ADJ
cana-3617	222	27	elephants	elephant	NOUN
cana-3617	222	28	in	in	ADP
cana-3617	222	29	india	india	PROPN
cana-3617	222	30	,	,	PUNCT
cana-3617	222	31	we	we	PRON
cana-3617	222	32	can	can	AUX
cana-3617	222	33	compare	compare	VERB
cana-3617	222	34	the	the	DET
cana-3617	222	35	actual	actual	ADJ
cana-3617	222	36	data	datum	NOUN
cana-3617	222	37	with	with	ADP
cana-3617	222	38	the	the	DET
cana-3617	222	39	calculated	calculated	ADJ
cana-3617	222	40	outcomes	outcome	NOUN
cana-3617	222	41	.	.	PUNCT
cana-3617	223	1	this	this	PRON
cana-3617	223	2	will	will	AUX
cana-3617	223	3	allow	allow	VERB
cana-3617	223	4	us	we	PRON
cana-3617	223	5	to	to	PART
cana-3617	223	6	determine	determine	VERB
cana-3617	223	7	how	how	SCONJ
cana-3617	223	8	well	well	ADV
cana-3617	223	9	the	the	DET
cana-3617	223	10	logistic	logistic	ADJ
cana-3617	223	11	model	model	NOUN
cana-3617	223	12	constrains	constrain	VERB
cana-3617	223	13	the	the	DET
cana-3617	223	14	population	population	NOUN
cana-3617	223	15	.	.	PUNCT
cana-3617	224	1	d.	d.	PROPN
cana-3617	224	2	estimating	estimate	VERB
cana-3617	224	3	error	error	NOUN
cana-3617	224	4	function	function	NOUN
cana-3617	224	5	based	base	VERB
cana-3617	224	6	on	on	ADP
cana-3617	224	7	the	the	DET
cana-3617	224	8	provided	provide	VERB
cana-3617	224	9	year	year	NOUN
cana-3617	224	10	and	and	CCONJ
cana-3617	224	11	the	the	DET
cana-3617	224	12	difference	difference	NOUN
cana-3617	224	13	,	,	PUNCT
cana-3617	224	14	we	we	PRON
cana-3617	224	15	can	can	AUX
cana-3617	224	16	confidently	confidently	ADV
cana-3617	224	17	estimate	estimate	VERB
cana-3617	224	18	a	a	DET
cana-3617	224	19	function	function	NOUN
cana-3617	224	20	to	to	PART
cana-3617	224	21	supplement	supplement	VERB
cana-3617	224	22	the	the	DET
cana-3617	224	23	solution	solution	NOUN
cana-3617	224	24	of	of	ADP
cana-3617	224	25	the	the	DET
cana-3617	224	26	specified	specify	VERB
cana-3617	224	27	differential	differential	ADJ
cana-3617	224	28	equation	equation	NOUN
cana-3617	224	29	(	(	PUNCT
cana-3617	224	30	10	10	NUM
cana-3617	224	31	)	)	PUNCT
cana-3617	224	32	and	and	CCONJ
cana-3617	224	33	effectively	effectively	ADV
cana-3617	224	34	minimize	minimize	VERB
cana-3617	224	35	calculation	calculation	NOUN
cana-3617	224	36	errors	error	NOUN
cana-3617	224	37	.	.	PUNCT
cana-3617	225	1	in	in	ADP
cana-3617	225	2	other	other	ADJ
cana-3617	225	3	words	word	NOUN
cana-3617	225	4	,	,	PUNCT
cana-3617	225	5	we	we	PRON
cana-3617	225	6	can	can	AUX
cana-3617	225	7	establish	establish	VERB
cana-3617	225	8	a	a	DET
cana-3617	225	9	function	function	NOUN
cana-3617	225	10	y(t	y(t	NUM
cana-3617	225	11	)	)	PUNCT
cana-3617	225	12	as	as	ADP
cana-3617	225	13	the	the	DET
cana-3617	225	14	function	function	NOUN
cana-3617	225	15	in	in	ADP
cana-3617	225	16	years	year	NOUN
cana-3617	225	17	,	,	PUNCT
cana-3617	225	18	which	which	PRON
cana-3617	225	19	has	have	VERB
cana-3617	225	20	to	to	PART
cana-3617	225	21	be	be	AUX
cana-3617	225	22	adjusted	adjust	VERB
cana-3617	225	23	with	with	ADP
cana-3617	225	24	the	the	DET
cana-3617	225	25	differential	differential	ADJ
cana-3617	225	26	equation	equation	NOUN
cana-3617	225	27	’s	’s	PART
cana-3617	225	28	(	(	PUNCT
cana-3617	225	29	10	10	NUM
cana-3617	225	30	)	)	PUNCT
cana-3617	225	31	solution	solution	NOUN
cana-3617	225	32	to	to	PART
cana-3617	225	33	get	get	VERB
cana-3617	225	34	the	the	DET
cana-3617	225	35	closest	close	ADJ
cana-3617	225	36	approximation	approximation	NOUN
cana-3617	225	37	to	to	ADP
cana-3617	225	38	the	the	DET
cana-3617	225	39	actual	actual	ADJ
cana-3617	225	40	population	population	NOUN
cana-3617	225	41	.	.	PUNCT
cana-3617	226	1	communications	communication	NOUN
cana-3617	226	2	on	on	ADP
cana-3617	226	3	applied	apply	VERB
cana-3617	226	4	nonlinear	nonlinear	ADJ
cana-3617	226	5	analysis	analysis	NOUN
cana-3617	226	6	issn	issn	NOUN
cana-3617	226	7	:	:	PUNCT
cana-3617	226	8	1074	1074	NUM
cana-3617	226	9	-	-	PUNCT
cana-3617	226	10	133x	133x	NUM
cana-3617	226	11	vol	vol	NOUN
cana-3617	226	12	32	32	NUM
cana-3617	226	13	no	no	NOUN
cana-3617	226	14	.	.	PUNCT
cana-3617	227	1	8s	8s	PROPN
cana-3617	227	2	(	(	PUNCT
cana-3617	227	3	2025	2025	NUM
cana-3617	227	4	)	)	PUNCT
cana-3617	227	5	179	179	NUM
cana-3617	227	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3617	227	7	thus	thus	ADV
cana-3617	227	8	the	the	DET
cana-3617	227	9	equation	equation	NOUN
cana-3617	227	10	(	(	PUNCT
cana-3617	227	11	14	14	NUM
cana-3617	227	12	)	)	PUNCT
cana-3617	227	13	where	where	SCONJ
cana-3617	227	14	s(t	s(t	PROPN
cana-3617	227	15	)	)	PUNCT
cana-3617	227	16	is	be	AUX
cana-3617	227	17	the	the	DET
cana-3617	227	18	solution	solution	NOUN
cana-3617	227	19	to	to	ADP
cana-3617	227	20	the	the	DET
cana-3617	227	21	differential	differential	ADJ
cana-3617	227	22	equation	equation	NOUN
cana-3617	227	23	(	(	PUNCT
cana-3617	227	24	10	10	NUM
cana-3617	227	25	)	)	PUNCT
cana-3617	227	26	,	,	PUNCT
cana-3617	227	27	and	and	CCONJ
cana-3617	227	28	y	y	PROPN
cana-3617	227	29	(	(	PUNCT
cana-3617	227	30	t	t	PROPN
cana-3617	227	31	)	)	PUNCT
cana-3617	227	32	is	be	AUX
cana-3617	227	33	the	the	DET
cana-3617	227	34	adjusted	adjust	VERB
cana-3617	227	35	function	function	NOUN
cana-3617	227	36	to	to	PART
cana-3617	227	37	give	give	VERB
cana-3617	227	38	a	a	DET
cana-3617	227	39	better	well	ADJ
cana-3617	227	40	approximation	approximation	NOUN
cana-3617	227	41	for	for	ADP
cana-3617	227	42	the	the	DET
cana-3617	227	43	population	population	NOUN
cana-3617	227	44	of	of	ADP
cana-3617	227	45	asian	asian	ADJ
cana-3617	227	46	elephants	elephant	NOUN
cana-3617	227	47	.	.	PUNCT
cana-3617	228	1	from	from	ADP
cana-3617	228	2	equation	equation	NOUN
cana-3617	228	3	(	(	PUNCT
cana-3617	228	4	14	14	NUM
cana-3617	228	5	)	)	PUNCT
cana-3617	228	6	,	,	PUNCT
cana-3617	228	7	we	we	PRON
cana-3617	228	8	would	would	AUX
cana-3617	228	9	like	like	VERB
cana-3617	228	10	to	to	PART
cana-3617	228	11	trace	trace	VERB
cana-3617	228	12	back	back	ADP
cana-3617	228	13	to	to	ADP
cana-3617	228	14	the	the	DET
cana-3617	228	15	actual	actual	ADJ
cana-3617	228	16	differential	differential	ADJ
cana-3617	228	17	equation	equation	NOUN
cana-3617	228	18	to	to	PART
cana-3617	228	19	find	find	VERB
cana-3617	228	20	the	the	DET
cana-3617	228	21	missing	miss	VERB
cana-3617	228	22	error	error	NOUN
cana-3617	228	23	function	function	NOUN
cana-3617	228	24	,	,	PUNCT
cana-3617	228	25	which	which	PRON
cana-3617	228	26	led	lead	VERB
cana-3617	228	27	to	to	ADP
cana-3617	228	28	y(t	y(t	PROPN
cana-3617	228	29	)	)	PUNCT
cana-3617	228	30	upon	upon	SCONJ
cana-3617	228	31	integration	integration	NOUN
cana-3617	228	32	.	.	PUNCT
cana-3617	229	1	to	to	PART
cana-3617	229	2	achieve	achieve	VERB
cana-3617	229	3	this	this	PRON
cana-3617	229	4	,	,	PUNCT
cana-3617	229	5	we	we	PRON
cana-3617	229	6	have	have	VERB
cana-3617	229	7	to	to	PART
cana-3617	229	8	differentiate	differentiate	VERB
cana-3617	229	9	the	the	DET
cana-3617	229	10	equation	equation	NOUN
cana-3617	229	11	(	(	PUNCT
cana-3617	229	12	14	14	NUM
cana-3617	229	13	)	)	PUNCT
cana-3617	229	14	with	with	ADP
cana-3617	229	15	respect	respect	NOUN
cana-3617	229	16	to	to	ADP
cana-3617	229	17	‘	'	PUNCT
cana-3617	229	18	t.	t.	NOUN
cana-3617	229	19	’	'	PUNCT
cana-3617	229	20	a	a	DET
cana-3617	229	21	practical	practical	ADJ
cana-3617	229	22	analysis	analysis	NOUN
cana-3617	229	23	reveals	reveal	VERB
cana-3617	229	24	that	that	SCONJ
cana-3617	229	25	the	the	DET
cana-3617	229	26	model	model	NOUN
cana-3617	229	27	is	be	AUX
cana-3617	229	28	most	most	ADV
cana-3617	229	29	suitable	suitable	ADJ
cana-3617	229	30	as	as	ADP
cana-3617	229	31	an	an	DET
cana-3617	229	32	approximation	approximation	NOUN
cana-3617	229	33	and	and	CCONJ
cana-3617	229	34	that	that	PRON
cana-3617	229	35	rather	rather	ADV
cana-3617	229	36	than	than	ADP
cana-3617	229	37	p’=f(p	p’=f(p	PROPN
cana-3617	229	38	)	)	PUNCT
cana-3617	229	39	,	,	PUNCT
cana-3617	229	40	we	we	PRON
cana-3617	229	41	should	should	AUX
cana-3617	229	42	study	study	VERB
cana-3617	229	43	a	a	DET
cana-3617	229	44	differential	differential	ADJ
cana-3617	229	45	equation	equation	NOUN
cana-3617	229	46	in	in	ADP
cana-3617	229	47	the	the	DET
cana-3617	229	48	condition	condition	NOUN
cana-3617	229	49	(	(	PUNCT
cana-3617	229	50	brauer	brauer	PROPN
cana-3617	229	51	2010	2010	NUM
cana-3617	229	52	)	)	PUNCT
cana-3617	229	53	.	.	PUNCT
cana-3617	230	1	(	(	PUNCT
cana-3617	230	2	15	15	NUM
cana-3617	230	3	)	)	PUNCT
cana-3617	230	4	the	the	DET
cana-3617	230	5	term	term	NOUN
cana-3617	230	6	h(y	h(y	ADV
cana-3617	230	7	)	)	PUNCT
cana-3617	230	8	denotes	denote	VERB
cana-3617	230	9	the	the	DET
cana-3617	230	10	error	error	NOUN
cana-3617	230	11	that	that	PRON
cana-3617	230	12	arises	arise	VERB
cana-3617	230	13	when	when	SCONJ
cana-3617	230	14	we	we	PRON
cana-3617	230	15	assume	assume	VERB
cana-3617	230	16	a	a	DET
cana-3617	230	17	specific	specific	ADJ
cana-3617	230	18	form	form	NOUN
cana-3617	230	19	f(y	f(y	NOUN
cana-3617	230	20	)	)	PUNCT
cana-3617	230	21	.	.	PUNCT
cana-3617	231	1	although	although	SCONJ
cana-3617	231	2	it	it	PRON
cana-3617	231	3	is	be	AUX
cana-3617	231	4	challenging	challenge	VERB
cana-3617	231	5	to	to	PART
cana-3617	231	6	determine	determine	VERB
cana-3617	231	7	h(y	h(y	NOUN
cana-3617	231	8	)	)	PUNCT
cana-3617	231	9	explicitly	explicitly	ADV
cana-3617	231	10	,	,	PUNCT
cana-3617	231	11	we	we	PRON
cana-3617	231	12	can	can	AUX
cana-3617	231	13	estimate	estimate	VERB
cana-3617	231	14	it	it	PRON
cana-3617	231	15	by	by	ADP
cana-3617	231	16	retracing	retrace	VERB
cana-3617	231	17	our	our	PRON
cana-3617	231	18	steps	step	NOUN
cana-3617	231	19	from	from	ADP
cana-3617	231	20	the	the	DET
cana-3617	231	21	predicted	predict	VERB
cana-3617	231	22	solution	solution	NOUN
cana-3617	231	23	to	to	ADP
cana-3617	231	24	the	the	DET
cana-3617	231	25	original	original	ADJ
cana-3617	231	26	differential	differential	NOUN
cana-3617	231	27	equation	equation	NOUN
cana-3617	231	28	.	.	PUNCT
cana-3617	232	1	8	8	X
cana-3617	232	2	.	.	X
cana-3617	232	3	limitationsbased	limitationsbase	VERB
cana-3617	232	4	on	on	ADP
cana-3617	232	5	the	the	DET
cana-3617	232	6	assumption	assumption	NOUN
cana-3617	232	7	and	and	CCONJ
cana-3617	232	8	further	further	ADJ
cana-3617	232	9	discussion	discussion	NOUN
cana-3617	232	10	a.	a.	NOUN
cana-3617	232	11	form	form	NOUN
cana-3617	232	12	of	of	ADP
cana-3617	232	13	the	the	DET
cana-3617	232	14	differential	differential	ADJ
cana-3617	232	15	equation	equation	NOUN
cana-3617	232	16	the	the	DET
cana-3617	232	17	error	error	NOUN
cana-3617	232	18	in	in	ADP
cana-3617	232	19	the	the	DET
cana-3617	232	20	logistic	logistic	ADJ
cana-3617	232	21	model	model	NOUN
cana-3617	232	22	was	be	AUX
cana-3617	232	23	based	base	VERB
cana-3617	232	24	on	on	ADP
cana-3617	232	25	the	the	DET
cana-3617	232	26	assumption	assumption	NOUN
cana-3617	232	27	of	of	ADP
cana-3617	232	28	no	no	DET
cana-3617	232	29	external	external	ADJ
cana-3617	232	30	influences	influence	NOUN
cana-3617	232	31	on	on	ADP
cana-3617	232	32	the	the	DET
cana-3617	232	33	population	population	NOUN
cana-3617	232	34	.	.	PUNCT
cana-3617	233	1	a	a	DET
cana-3617	233	2	realistic	realistic	ADJ
cana-3617	233	3	approach	approach	NOUN
cana-3617	233	4	would	would	AUX
cana-3617	233	5	be	be	AUX
cana-3617	233	6	to	to	PART
cana-3617	233	7	study	study	VERB
cana-3617	233	8	the	the	DET
cana-3617	233	9	differential	differential	ADJ
cana-3617	233	10	equation	equation	NOUN
cana-3617	233	11	taking	take	VERB
cana-3617	233	12	the	the	DET
cana-3617	233	13	form	form	NOUN
cana-3617	233	14	below	below	ADV
cana-3617	233	15	.	.	PUNCT
cana-3617	234	1	instead	instead	ADV
cana-3617	234	2	of	of	ADP
cana-3617	234	3	x′	x′	PROPN
cana-3617	234	4	=	=	SYM
cana-3617	234	5	f	f	PROPN
cana-3617	234	6	(	(	PUNCT
cana-3617	234	7	x	x	NOUN
cana-3617	234	8	)	)	PUNCT
cana-3617	234	9	,	,	PUNCT
cana-3617	234	10	where	where	SCONJ
cana-3617	234	11	h(y	h(y	ADV
cana-3617	234	12	)	)	PUNCT
cana-3617	234	13	indicates	indicate	VERB
cana-3617	234	14	the	the	DET
cana-3617	234	15	error	error	NOUN
cana-3617	234	16	in	in	ADP
cana-3617	234	17	our	our	PRON
cana-3617	234	18	assumption	assumption	NOUN
cana-3617	234	19	.	.	PUNCT
cana-3617	235	1	as	as	SCONJ
cana-3617	235	2	the	the	DET
cana-3617	235	3	function	function	NOUN
cana-3617	235	4	h(y	h(y	ADV
cana-3617	235	5	)	)	PUNCT
cana-3617	235	6	can	can	AUX
cana-3617	235	7	not	not	PART
cana-3617	235	8	be	be	AUX
cana-3617	235	9	found	find	VERB
cana-3617	235	10	explicitly	explicitly	ADV
cana-3617	235	11	.	.	PUNCT
cana-3617	236	1	however	however	ADV
cana-3617	236	2	,	,	PUNCT
cana-3617	236	3	the	the	DET
cana-3617	236	4	below	below	ADJ
cana-3617	236	5	theorem	theorem	NOUN
cana-3617	236	6	throws	throw	VERB
cana-3617	236	7	some	some	DET
cana-3617	236	8	insight	insight	NOUN
cana-3617	236	9	into	into	ADP
cana-3617	236	10	its	its	PRON
cana-3617	236	11	construction	construction	NOUN
cana-3617	236	12	of	of	ADP
cana-3617	236	13	it	it	PRON
cana-3617	236	14	.	.	PUNCT
cana-3617	237	1	theorem	theorem	VERB
cana-3617	237	2	:	:	PUNCT
cana-3617	237	3	let	let	VERB
cana-3617	237	4	x∞	x∞	PROPN
cana-3617	237	5	be	be	AUX
cana-3617	237	6	an	an	DET
cana-3617	237	7	asymptotically	asymptotically	ADV
cana-3617	237	8	stable	stable	ADJ
cana-3617	237	9	equilibrium	equilibrium	NOUN
cana-3617	237	10	of	of	ADP
cana-3617	237	11	x′	x′	PROPN
cana-3617	238	1	=	=	SYM
cana-3617	238	2	f	f	PROPN
cana-3617	238	3	(	(	PUNCT
cana-3617	238	4	x	x	X
cana-3617	238	5	)	)	PUNCT
cana-3617	238	6	with	with	ADP
cana-3617	238	7	f	f	PROPN
cana-3617	238	8	′(x∞	′(x∞	PROPN
cana-3617	238	9	)	)	PUNCT
cana-3617	238	10	<	<	X
cana-3617	238	11	0	0	X
cana-3617	238	12	.	.	PUNCT
cana-3617	239	1	then	then	ADV
cana-3617	239	2	(	(	PUNCT
cana-3617	239	3	i	i	NOUN
cana-3617	239	4	)	)	PUNCT
cana-3617	239	5	if	if	SCONJ
cana-3617	239	6	h(y)/(y	h(y)/(y	PROPN
cana-3617	239	7	−	−	PROPN
cana-3617	239	8	x∞	x∞	PROPN
cana-3617	239	9	)	)	PUNCT
cana-3617	239	10	→	→	SYM
cana-3617	239	11	0	0	PUNCT
cana-3617	239	12	as	as	ADP
cana-3617	239	13	y	y	PROPN
cana-3617	239	14	→	→	SYM
cana-3617	239	15	x∞	x∞	PROPN
cana-3617	239	16	,	,	PUNCT
cana-3617	239	17	and	and	CCONJ
cana-3617	239	18	if	if	SCONJ
cana-3617	239	19	|y(0	|y(0	NUM
cana-3617	239	20	)	)	PUNCT
cana-3617	239	21	−	−	NOUN
cana-3617	239	22	x∞|	x∞|	PROPN
cana-3617	239	23	is	be	AUX
cana-3617	239	24	sufficiently	sufficiently	ADV
cana-3617	239	25	small	small	ADJ
cana-3617	239	26	,	,	PUNCT
cana-3617	239	27	the	the	DET
cana-3617	239	28	solution	solution	NOUN
cana-3617	239	29	y(t	y(t	NUM
cana-3617	239	30	)	)	PUNCT
cana-3617	239	31	of	of	ADP
cana-3617	239	32	y′	y′	NOUN
cana-3617	240	1	=	=	SYM
cana-3617	240	2	f	f	PROPN
cana-3617	240	3	(	(	PUNCT
cana-3617	240	4	y	y	NOUN
cana-3617	240	5	)	)	PUNCT
cana-3617	240	6	+	+	NUM
cana-3617	240	7	h(y	h(y	ADV
cana-3617	240	8	)	)	PUNCT
cana-3617	240	9	tends	tend	VERB
cana-3617	240	10	to	to	PART
cana-3617	240	11	x∞	x∞	PROPN
cana-3617	240	12	as	as	ADP
cana-3617	240	13	t	t	PROPN
cana-3617	240	14	→	→	SYM
cana-3617	240	15	∞	∞	PROPN
cana-3617	240	16	,	,	PUNCT
cana-3617	240	17	i.e.	i.e.	X
cana-3617	240	18	,	,	PUNCT
cana-3617	240	19	x∞	x∞	PROPN
cana-3617	240	20	is	be	AUX
cana-3617	240	21	an	an	DET
cana-3617	240	22	asymptotically	asymptotically	ADV
cana-3617	240	23	stable	stable	ADJ
cana-3617	240	24	equilibrium	equilibrium	NOUN
cana-3617	240	25	of	of	ADP
cana-3617	240	26	y′	y′	NOUN
cana-3617	241	1	=	=	SYM
cana-3617	241	2	f	f	PROPN
cana-3617	241	3	(	(	PUNCT
cana-3617	241	4	y	y	NOUN
cana-3617	241	5	)	)	PUNCT
cana-3617	241	6	+	+	NUM
cana-3617	241	7	h(y	h(y	ADV
cana-3617	241	8	)	)	PUNCT
cana-3617	241	9	.	.	PUNCT
cana-3617	242	1	(	(	PUNCT
cana-3617	242	2	brauer	brauer	PROPN
cana-3617	242	3	2010	2010	NUM
cana-3617	242	4	)	)	PUNCT
cana-3617	242	5	based	base	VERB
cana-3617	242	6	on	on	ADP
cana-3617	242	7	the	the	DET
cana-3617	242	8	theorem	theorem	NOUN
cana-3617	242	9	,	,	PUNCT
cana-3617	242	10	we	we	PRON
cana-3617	242	11	have	have	AUX
cana-3617	242	12	and	and	CCONJ
cana-3617	242	13	h(y	h(y	ADV
cana-3617	242	14	)	)	PUNCT
cana-3617	242	15	approaches	approach	VERB
cana-3617	242	16	0	0	NUM
cana-3617	242	17	much	much	ADV
cana-3617	242	18	faster	fast	ADV
cana-3617	242	19	than	than	ADP
cana-3617	242	20	.	.	PUNCT
cana-3617	243	1	therefore	therefore	ADV
cana-3617	243	2	,	,	PUNCT
cana-3617	243	3	h(y	h(y	ADV
cana-3617	243	4	)	)	PUNCT
cana-3617	243	5	has	have	VERB
cana-3617	243	6	to	to	PART
cana-3617	243	7	be	be	AUX
cana-3617	243	8	a	a	DET
cana-3617	243	9	function	function	NOUN
cana-3617	243	10	of	of	ADP
cana-3617	243	11	(	(	PUNCT
cana-3617	243	12	y	y	PROPN
cana-3617	243	13	-	-	PROPN
cana-3617	243	14	x	x	NUM
cana-3617	243	15	)	)	PUNCT
cana-3617	243	16	.	.	PUNCT
cana-3617	244	1	the	the	DET
cana-3617	244	2	value	value	NOUN
cana-3617	244	3	of	of	ADP
cana-3617	244	4	the	the	DET
cana-3617	244	5	function	function	NOUN
cana-3617	244	6	h(y	h(y	ADV
cana-3617	244	7	-	-	PUNCT
cana-3617	244	8	x	x	NUM
cana-3617	244	9	)	)	PUNCT
cana-3617	244	10	can	can	AUX
cana-3617	244	11	be	be	AUX
cana-3617	244	12	approximated	approximate	VERB
cana-3617	244	13	with	with	ADP
cana-3617	244	14	the	the	DET
cana-3617	244	15	help	help	NOUN
cana-3617	244	16	of	of	ADP
cana-3617	244	17	the	the	DET
cana-3617	244	18	adjusted	adjust	VERB
cana-3617	244	19	equation	equation	NOUN
cana-3617	244	20	y(t	y(t	PROPN
cana-3617	244	21	)	)	PUNCT
cana-3617	244	22	from	from	ADP
cana-3617	244	23	equation	equation	NOUN
cana-3617	244	24	(	(	PUNCT
cana-3617	244	25	14	14	NUM
cana-3617	244	26	)	)	PUNCT
cana-3617	244	27	,	,	PUNCT
cana-3617	244	28	and	and	CCONJ
cana-3617	244	29	the	the	DET
cana-3617	244	30	error	error	NOUN
cana-3617	244	31	can	can	AUX
cana-3617	244	32	be	be	AUX
cana-3617	244	33	minimized	minimize	VERB
cana-3617	244	34	by	by	ADP
cana-3617	244	35	choice	choice	NOUN
cana-3617	244	36	of	of	ADP
cana-3617	244	37	y(t	y(t	PROPN
cana-3617	244	38	)	)	PUNCT
cana-3617	244	39	as	as	ADP
cana-3617	244	40	h(y	h(y	NOUN
cana-3617	244	41	)	)	PUNCT
cana-3617	245	1	is	be	AUX
cana-3617	245	2	the	the	DET
cana-3617	245	3	error	error	NOUN
cana-3617	245	4	function	function	NOUN
cana-3617	245	5	that	that	PRON
cana-3617	245	6	has	have	VERB
cana-3617	245	7	to	to	PART
cana-3617	245	8	be	be	AUX
cana-3617	245	9	added	add	VERB
cana-3617	245	10	to	to	ADP
cana-3617	245	11	the	the	DET
cana-3617	245	12	original	original	ADJ
cana-3617	245	13	differential	differential	NOUN
cana-3617	245	14	equation	equation	NOUN
cana-3617	245	15	.	.	PUNCT
cana-3617	246	1	so	so	ADV
cana-3617	246	2	,	,	PUNCT
cana-3617	246	3	it	it	PRON
cana-3617	246	4	remains	remain	VERB
cana-3617	246	5	to	to	PART
cana-3617	246	6	prove	prove	VERB
cana-3617	246	7	that	that	SCONJ
cana-3617	246	8	h(y	h(y	ADV
cana-3617	246	9	)	)	PUNCT
cana-3617	246	10	,	,	PUNCT
cana-3617	246	11	which	which	PRON
cana-3617	246	12	is	be	AUX
cana-3617	246	13	a	a	DET
cana-3617	246	14	function	function	NOUN
cana-3617	246	15	of	of	ADP
cana-3617	246	16	(	(	PUNCT
cana-3617	246	17	y	y	PROPN
cana-3617	246	18	-	-	PUNCT
cana-3617	246	19	x	x	NUM
cana-3617	246	20	)	)	PUNCT
cana-3617	246	21	,	,	PUNCT
cana-3617	246	22	can	can	AUX
cana-3617	246	23	be	be	AUX
cana-3617	246	24	obtained	obtain	VERB
cana-3617	246	25	from	from	ADP
cana-3617	246	26	y(t	y(t	PROPN
cana-3617	246	27	)	)	PUNCT
cana-3617	246	28	,	,	PUNCT
cana-3617	246	29	and	and	CCONJ
cana-3617	246	30	also	also	ADV
cana-3617	246	31	,	,	PUNCT
cana-3617	246	32	it	it	PRON
cana-3617	246	33	has	have	VERB
cana-3617	246	34	to	to	PART
cana-3617	246	35	be	be	AUX
cana-3617	246	36	a	a	DET
cana-3617	246	37	function	function	NOUN
cana-3617	246	38	of	of	ADP
cana-3617	246	39	the	the	DET
cana-3617	246	40	higher	high	ADJ
cana-3617	246	41	power	power	NOUN
cana-3617	246	42	of	of	ADP
cana-3617	246	43	the	the	DET
cana-3617	246	44	term	term	NOUN
cana-3617	246	45	(	(	PUNCT
cana-3617	246	46	y	y	NOUN
cana-3617	246	47	-	-	PROPN
cana-3617	246	48	x	x	NUM
cana-3617	246	49	)	)	PUNCT
cana-3617	246	50	.	.	PUNCT
cana-3617	247	1	b.	b.	PROPN
cana-3617	247	2	findings	findings	PROPN
cana-3617	247	3	:	:	PUNCT
cana-3617	247	4	using	use	VERB
cana-3617	247	5	the	the	DET
cana-3617	247	6	logistic	logistic	ADJ
cana-3617	247	7	model	model	NOUN
cana-3617	247	8	,	,	PUNCT
cana-3617	247	9	we	we	PRON
cana-3617	247	10	have	have	AUX
cana-3617	247	11	derived	derive	VERB
cana-3617	247	12	the	the	DET
cana-3617	247	13	essential	essential	ADJ
cana-3617	247	14	population	population	NOUN
cana-3617	247	15	growth	growth	NOUN
cana-3617	247	16	of	of	ADP
cana-3617	247	17	the	the	DET
cana-3617	247	18	asian	asian	ADJ
cana-3617	247	19	elephants	elephant	NOUN
cana-3617	247	20	in	in	ADP
cana-3617	247	21	the	the	DET
cana-3617	247	22	indian	indian	PROPN
cana-3617	247	23	subcontinent	subcontinent	PROPN
cana-3617	247	24	,	,	PUNCT
cana-3617	247	25	as	as	SCONJ
cana-3617	247	26	shown	show	VERB
cana-3617	247	27	below	below	ADP
cana-3617	247	28	:	:	PUNCT
cana-3617	247	29	communications	communication	NOUN
cana-3617	247	30	on	on	ADP
cana-3617	247	31	applied	apply	VERB
cana-3617	247	32	nonlinear	nonlinear	ADJ
cana-3617	247	33	analysis	analysis	NOUN
cana-3617	247	34	issn	issn	NOUN
cana-3617	247	35	:	:	PUNCT
cana-3617	247	36	1074	1074	NUM
cana-3617	247	37	-	-	PUNCT
cana-3617	247	38	133x	133x	NUM
cana-3617	247	39	vol	vol	NOUN
cana-3617	247	40	32	32	NUM
cana-3617	247	41	no	no	NOUN
cana-3617	247	42	.	.	PUNCT
cana-3617	248	1	8s	8s	PROPN
cana-3617	248	2	(	(	PUNCT
cana-3617	248	3	2025	2025	NUM
cana-3617	248	4	)	)	PUNCT
cana-3617	248	5	180	180	NUM
cana-3617	248	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3617	248	7	rames	ram	VERB
cana-3617	248	8	k	k	PROPN
cana-3617	248	9	's	's	PART
cana-3617	248	10	team	team	NOUN
cana-3617	248	11	's	's	PART
cana-3617	248	12	research	research	NOUN
cana-3617	248	13	findings	finding	NOUN
cana-3617	248	14	reveal	reveal	VERB
cana-3617	248	15	that	that	SCONJ
cana-3617	248	16	the	the	DET
cana-3617	248	17	elephant	elephant	NOUN
cana-3617	248	18	population	population	NOUN
cana-3617	248	19	in	in	ADP
cana-3617	248	20	india	india	PROPN
cana-3617	248	21	is	be	AUX
cana-3617	248	22	relatively	relatively	ADV
cana-3617	248	23	stable	stable	ADJ
cana-3617	248	24	,	,	PUNCT
cana-3617	248	25	with	with	ADP
cana-3617	248	26	an	an	DET
cana-3617	248	27	estimated	estimate	VERB
cana-3617	248	28	range	range	NOUN
cana-3617	248	29	of	of	ADP
cana-3617	248	30	25,000	25,000	NUM
cana-3617	248	31	to	to	PART
cana-3617	248	32	30,000	30,000	NUM
cana-3617	248	33	individuals(ramesh	individuals(ramesh	PROPN
cana-3617	248	34	k.	k.	PROPN
cana-3617	248	35	pandey	pandey	PROPN
cana-3617	248	36	2024	2024	NUM
cana-3617	248	37	)	)	PUNCT
cana-3617	248	38	.	.	PUNCT
cana-3617	249	1	the	the	DET
cana-3617	249	2	differential	differential	ADJ
cana-3617	249	3	equation	equation	NOUN
cana-3617	249	4	(	(	PUNCT
cana-3617	249	5	10	10	NUM
cana-3617	249	6	)	)	PUNCT
cana-3617	249	7	demonstrates	demonstrate	VERB
cana-3617	249	8	asymptotic	asymptotic	ADJ
cana-3617	249	9	stability	stability	NOUN
cana-3617	249	10	,	,	PUNCT
cana-3617	249	11	with	with	ADP
cana-3617	249	12	a	a	DET
cana-3617	249	13	carrying	carry	VERB
cana-3617	249	14	capacity	capacity	NOUN
cana-3617	249	15	of	of	ADP
cana-3617	249	16	23700	23700	NUM
cana-3617	249	17	for	for	ADP
cana-3617	249	18	the	the	DET
cana-3617	249	19	population	population	NOUN
cana-3617	249	20	.	.	PUNCT
cana-3617	250	1	based	base	VERB
cana-3617	250	2	on	on	ADP
cana-3617	250	3	the	the	DET
cana-3617	250	4	initial	initial	ADJ
cana-3617	250	5	assumptions	assumption	NOUN
cana-3617	250	6	in	in	ADP
cana-3617	250	7	the	the	DET
cana-3617	250	8	population	population	NOUN
cana-3617	250	9	model	model	NOUN
cana-3617	250	10	and	and	CCONJ
cana-3617	250	11	the	the	DET
cana-3617	250	12	associated	associated	ADJ
cana-3617	250	13	errors	error	NOUN
cana-3617	250	14	,	,	PUNCT
cana-3617	250	15	it	it	PRON
cana-3617	250	16	is	be	AUX
cana-3617	250	17	reasonable	reasonable	ADJ
cana-3617	250	18	to	to	PART
cana-3617	250	19	infer	infer	VERB
cana-3617	250	20	that	that	SCONJ
cana-3617	250	21	various	various	ADJ
cana-3617	250	22	external	external	ADJ
cana-3617	250	23	factors	factor	NOUN
cana-3617	250	24	,	,	PUNCT
cana-3617	250	25	such	such	ADJ
cana-3617	250	26	as	as	ADP
cana-3617	250	27	climate	climate	NOUN
cana-3617	250	28	change	change	NOUN
cana-3617	250	29	,	,	PUNCT
cana-3617	250	30	habitat	habitat	NOUN
cana-3617	250	31	loss	loss	NOUN
cana-3617	250	32	,	,	PUNCT
cana-3617	250	33	human	human	ADJ
cana-3617	250	34	-	-	PUNCT
cana-3617	250	35	wildlife	wildlife	NOUN
cana-3617	250	36	conflict	conflict	NOUN
cana-3617	250	37	,	,	PUNCT
cana-3617	250	38	and	and	CCONJ
cana-3617	250	39	poaching	poach	VERB
cana-3617	250	40	,	,	PUNCT
cana-3617	250	41	may	may	AUX
cana-3617	250	42	have	have	AUX
cana-3617	250	43	significantly	significantly	ADV
cana-3617	250	44	influenced	influence	VERB
cana-3617	250	45	the	the	DET
cana-3617	250	46	model	model	NOUN
cana-3617	250	47	's	's	PART
cana-3617	250	48	deviation	deviation	NOUN
cana-3617	250	49	.	.	PUNCT
cana-3617	251	1	moreover	moreover	ADV
cana-3617	251	2	,	,	PUNCT
cana-3617	251	3	the	the	DET
cana-3617	251	4	data	datum	NOUN
cana-3617	251	5	considered	consider	VERB
cana-3617	251	6	in	in	ADP
cana-3617	251	7	our	our	PRON
cana-3617	251	8	study	study	NOUN
cana-3617	251	9	spans	span	NOUN
cana-3617	251	10	from	from	ADP
cana-3617	251	11	1980	1980	NUM
cana-3617	251	12	to	to	ADP
cana-3617	251	13	2021	2021	NUM
cana-3617	251	14	,	,	PUNCT
cana-3617	251	15	and	and	CCONJ
cana-3617	251	16	rames	ram	VERB
cana-3617	251	17	k	k	PROPN
cana-3617	251	18	's	's	PART
cana-3617	251	19	team	team	NOUN
cana-3617	251	20	's	's	PART
cana-3617	251	21	stability	stability	NOUN
cana-3617	251	22	was	be	AUX
cana-3617	251	23	established	establish	VERB
cana-3617	251	24	more	more	ADV
cana-3617	251	25	recently	recently	ADV
cana-3617	251	26	in	in	ADP
cana-3617	251	27	2024	2024	NUM
cana-3617	251	28	,	,	PUNCT
cana-3617	251	29	indicating	indicate	VERB
cana-3617	251	30	a	a	DET
cana-3617	251	31	relatively	relatively	ADV
cana-3617	251	32	short	short	ADJ
cana-3617	251	33	period	period	NOUN
cana-3617	251	34	of	of	ADP
cana-3617	251	35	stability	stability	NOUN
cana-3617	251	36	assessment	assessment	NOUN
cana-3617	251	37	.	.	PUNCT
cana-3617	252	1	therefore	therefore	ADV
cana-3617	252	2	,	,	PUNCT
cana-3617	252	3	it	it	PRON
cana-3617	252	4	is	be	AUX
cana-3617	252	5	well	well	ADV
cana-3617	252	6	within	within	ADP
cana-3617	252	7	our	our	PRON
cana-3617	252	8	reach	reach	NOUN
cana-3617	252	9	to	to	PART
cana-3617	252	10	suggest	suggest	VERB
cana-3617	252	11	that	that	SCONJ
cana-3617	252	12	the	the	DET
cana-3617	252	13	population	population	NOUN
cana-3617	252	14	of	of	ADP
cana-3617	252	15	asian	asian	ADJ
cana-3617	252	16	elephants	elephant	NOUN
cana-3617	252	17	is	be	AUX
cana-3617	252	18	showing	show	VERB
cana-3617	252	19	signs	sign	NOUN
cana-3617	252	20	of	of	ADP
cana-3617	252	21	heading	head	VERB
cana-3617	252	22	toward	toward	ADP
cana-3617	252	23	stability	stability	NOUN
cana-3617	252	24	based	base	VERB
cana-3617	252	25	on	on	ADP
cana-3617	252	26	the	the	DET
cana-3617	252	27	estimation	estimation	NOUN
cana-3617	252	28	given	give	VERB
cana-3617	252	29	by	by	ADP
cana-3617	252	30	our	our	PRON
cana-3617	252	31	model	model	NOUN
cana-3617	252	32	.	.	PUNCT
cana-3617	253	1	one	one	NUM
cana-3617	253	2	reason	reason	NOUN
cana-3617	253	3	for	for	ADP
cana-3617	253	4	achieving	achieve	VERB
cana-3617	253	5	this	this	DET
cana-3617	253	6	stability	stability	NOUN
cana-3617	253	7	is	be	AUX
cana-3617	253	8	the	the	DET
cana-3617	253	9	country	country	NOUN
cana-3617	253	10	's	's	PART
cana-3617	253	11	development	development	NOUN
cana-3617	253	12	and	and	CCONJ
cana-3617	253	13	the	the	DET
cana-3617	253	14	implementation	implementation	NOUN
cana-3617	253	15	of	of	ADP
cana-3617	253	16	institutional	institutional	ADJ
cana-3617	253	17	,	,	PUNCT
cana-3617	253	18	policy	policy	NOUN
cana-3617	253	19	,	,	PUNCT
cana-3617	253	20	and	and	CCONJ
cana-3617	253	21	legal	legal	ADJ
cana-3617	253	22	reforms	reform	NOUN
cana-3617	253	23	that	that	PRON
cana-3617	253	24	have	have	AUX
cana-3617	253	25	enabled	enable	VERB
cana-3617	253	26	elephant	elephant	NOUN
cana-3617	253	27	conservation	conservation	NOUN
cana-3617	253	28	in	in	ADP
cana-3617	253	29	india	india	PROPN
cana-3617	253	30	.	.	PUNCT
cana-3617	254	1	the	the	DET
cana-3617	254	2	indian	indian	ADJ
cana-3617	254	3	wildlife	wildlife	PROPN
cana-3617	254	4	protection	protection	PROPN
cana-3617	254	5	act	act	NOUN
cana-3617	254	6	(	(	PUNCT
cana-3617	254	7	1972	1972	NUM
cana-3617	254	8	)	)	PUNCT
cana-3617	254	9	protects	protect	VERB
cana-3617	254	10	elephas	elephas	PROPN
cana-3617	254	11	maximus	maximus	PROPN
cana-3617	254	12	under	under	ADP
cana-3617	254	13	schedule	schedule	NOUN
cana-3617	254	14	i	i	PRON
cana-3617	254	15	and	and	CCONJ
cana-3617	254	16	part	part	NOUN
cana-3617	254	17	i.	i.	NOUN
cana-3617	254	18	with	with	ADP
cana-3617	254	19	public	public	ADJ
cana-3617	254	20	support	support	NOUN
cana-3617	254	21	for	for	ADP
cana-3617	254	22	wildlife	wildlife	NOUN
cana-3617	254	23	conservation	conservation	NOUN
cana-3617	254	24	and	and	CCONJ
cana-3617	254	25	political	political	ADJ
cana-3617	254	26	backing	backing	NOUN
cana-3617	254	27	,	,	PUNCT
cana-3617	254	28	india	india	PROPN
cana-3617	254	29	successfully	successfully	ADV
cana-3617	254	30	balances	balance	VERB
cana-3617	254	31	coexistence	coexistence	NOUN
cana-3617	254	32	and	and	CCONJ
cana-3617	254	33	conflict	conflict	NOUN
cana-3617	254	34	regarding	regard	VERB
cana-3617	254	35	elephants(ramesh	elephants(ramesh	PROPN
cana-3617	254	36	k.	k.	PROPN
cana-3617	254	37	pandey	pandey	PROPN
cana-3617	254	38	2024	2024	NUM
cana-3617	254	39	)	)	PUNCT
cana-3617	254	40	.	.	PUNCT
cana-3617	255	1	as	as	SCONJ
cana-3617	255	2	this	this	DET
cana-3617	255	3	basic	basic	ADJ
cana-3617	255	4	model	model	NOUN
cana-3617	255	5	is	be	AUX
cana-3617	255	6	constructed	construct	VERB
cana-3617	255	7	assuming	assume	VERB
cana-3617	255	8	no	no	DET
cana-3617	255	9	external	external	ADJ
cana-3617	255	10	factors	factor	NOUN
cana-3617	255	11	influence	influence	VERB
cana-3617	255	12	the	the	DET
cana-3617	255	13	model	model	NOUN
cana-3617	255	14	other	other	ADJ
cana-3617	255	15	than	than	ADP
cana-3617	255	16	the	the	DET
cana-3617	255	17	initial	initial	ADJ
cana-3617	255	18	size	size	NOUN
cana-3617	255	19	,	,	PUNCT
cana-3617	255	20	it	it	PRON
cana-3617	255	21	might	might	AUX
cana-3617	255	22	tend	tend	VERB
cana-3617	255	23	to	to	PART
cana-3617	255	24	show	show	VERB
cana-3617	255	25	an	an	DET
cana-3617	255	26	error	error	NOUN
cana-3617	255	27	compared	compare	VERB
cana-3617	255	28	to	to	ADP
cana-3617	255	29	the	the	DET
cana-3617	255	30	actual	actual	ADJ
cana-3617	255	31	population	population	NOUN
cana-3617	255	32	of	of	ADP
cana-3617	255	33	asian	asian	ADJ
cana-3617	255	34	elephants	elephant	NOUN
cana-3617	255	35	in	in	ADP
cana-3617	255	36	india	india	PROPN
cana-3617	255	37	.	.	PUNCT
cana-3617	256	1	however	however	ADV
cana-3617	256	2	,	,	PUNCT
cana-3617	256	3	the	the	DET
cana-3617	256	4	error	error	NOUN
cana-3617	256	5	is	be	AUX
cana-3617	256	6	minimized	minimize	VERB
cana-3617	256	7	by	by	ADP
cana-3617	256	8	constructing	construct	VERB
cana-3617	256	9	a	a	DET
cana-3617	256	10	suitable	suitable	ADJ
cana-3617	256	11	function	function	NOUN
cana-3617	256	12	y(t	y(t	NUM
cana-3617	256	13	)	)	PUNCT
cana-3617	256	14	and	and	CCONJ
cana-3617	256	15	adding	add	VERB
cana-3617	256	16	it	it	PRON
cana-3617	256	17	to	to	ADP
cana-3617	256	18	the	the	DET
cana-3617	256	19	fundamental	fundamental	ADJ
cana-3617	256	20	differential	differential	NOUN
cana-3617	256	21	equation	equation	NOUN
cana-3617	256	22	obtained	obtain	VERB
cana-3617	256	23	from	from	ADP
cana-3617	256	24	the	the	DET
cana-3617	256	25	logistic	logistic	ADJ
cana-3617	256	26	model	model	NOUN
cana-3617	256	27	.	.	PUNCT
cana-3617	257	1	thus	thus	ADV
cana-3617	257	2	,	,	PUNCT
cana-3617	257	3	we	we	PRON
cana-3617	257	4	have	have	VERB
cana-3617	257	5	the	the	DET
cana-3617	257	6	adjusted	adjust	VERB
cana-3617	257	7	logistic	logistic	ADJ
cana-3617	257	8	equation	equation	NOUN
cana-3617	257	9	as	as	ADP
cana-3617	257	10	below	below	ADV
cana-3617	257	11	:	:	PUNCT
cana-3617	257	12	where	where	SCONJ
cana-3617	257	13	m	m	VERB
cana-3617	257	14	=	=	SYM
cana-3617	257	15	p	p	PROPN
cana-3617	257	16	-	-	PUNCT
cana-3617	257	17	y	y	PROPN
cana-3617	257	18	and	and	CCONJ
cana-3617	257	19	y	y	PROPN
cana-3617	257	20	(	(	PUNCT
cana-3617	257	21	t	t	PROPN
cana-3617	257	22	)	)	PUNCT
cana-3617	257	23	is	be	AUX
cana-3617	257	24	the	the	DET
cana-3617	257	25	adjusted	adjust	VERB
cana-3617	257	26	function	function	NOUN
cana-3617	257	27	as	as	SCONJ
cana-3617	257	28	we	we	PRON
cana-3617	257	29	gather	gather	VERB
cana-3617	257	30	more	more	ADJ
cana-3617	257	31	data	datum	NOUN
cana-3617	257	32	,	,	PUNCT
cana-3617	257	33	finding	find	VERB
cana-3617	257	34	the	the	DET
cana-3617	257	35	function	function	NOUN
cana-3617	257	36	y(t	y(t	PROPN
cana-3617	257	37	)	)	PUNCT
cana-3617	257	38	with	with	ADP
cana-3617	257	39	greater	great	ADJ
cana-3617	257	40	accuracy	accuracy	NOUN
cana-3617	257	41	becomes	become	VERB
cana-3617	257	42	easier	easy	ADJ
cana-3617	257	43	,	,	PUNCT
cana-3617	257	44	minimizing	minimize	VERB
cana-3617	257	45	the	the	DET
cana-3617	257	46	error	error	NOUN
cana-3617	257	47	.	.	PUNCT
cana-3617	258	1	according	accord	VERB
cana-3617	258	2	to	to	ADP
cana-3617	258	3	the	the	DET
cana-3617	258	4	theorem	theorem	NOUN
cana-3617	258	5	,	,	PUNCT
cana-3617	258	6	the	the	DET
cana-3617	258	7	constructed	construct	VERB
cana-3617	258	8	function	function	NOUN
cana-3617	258	9	has	have	VERB
cana-3617	258	10	a	a	DET
cana-3617	258	11	higher	high	ADJ
cana-3617	258	12	power	power	NOUN
cana-3617	258	13	of	of	ADP
cana-3617	258	14	the	the	DET
cana-3617	258	15	term	term	NOUN
cana-3617	258	16	(	(	PUNCT
cana-3617	258	17	y	y	NOUN
cana-3617	258	18	-	-	PROPN
cana-3617	258	19	x	x	NUM
cana-3617	258	20	)	)	PUNCT
cana-3617	258	21	.	.	PUNCT
cana-3617	259	1	using	use	VERB
cana-3617	259	2	this	this	DET
cana-3617	259	3	adjusted	adjust	VERB
cana-3617	259	4	differential	differential	NOUN
cana-3617	259	5	equation	equation	NOUN
cana-3617	259	6	,	,	PUNCT
cana-3617	259	7	we	we	PRON
cana-3617	259	8	have	have	AUX
cana-3617	259	9	minimized	minimize	VERB
cana-3617	259	10	the	the	DET
cana-3617	259	11	error	error	NOUN
cana-3617	259	12	between	between	ADP
cana-3617	259	13	the	the	DET
cana-3617	259	14	actual	actual	ADJ
cana-3617	259	15	and	and	CCONJ
cana-3617	259	16	estimated	estimated	ADJ
cana-3617	259	17	population	population	NOUN
cana-3617	259	18	of	of	ADP
cana-3617	259	19	asian	asian	ADJ
cana-3617	259	20	elephants	elephant	NOUN
cana-3617	259	21	in	in	ADP
cana-3617	259	22	india	india	PROPN
cana-3617	259	23	.	.	PUNCT
cana-3617	260	1	therefore	therefore	ADV
cana-3617	260	2	,	,	PUNCT
cana-3617	260	3	the	the	DET
cana-3617	260	4	more	more	ADV
cana-3617	260	5	accurate	accurate	ADJ
cana-3617	260	6	the	the	DET
cana-3617	260	7	function	function	NOUN
cana-3617	260	8	y(t	y(t	NUM
cana-3617	260	9	)	)	PUNCT
cana-3617	260	10	we	we	PRON
cana-3617	260	11	predict	predict	VERB
cana-3617	260	12	,	,	PUNCT
cana-3617	260	13	the	the	PRON
cana-3617	260	14	more	more	ADV
cana-3617	260	15	precise	precise	ADJ
cana-3617	260	16	the	the	DET
cana-3617	260	17	population	population	NOUN
cana-3617	260	18	count	count	NOUN
cana-3617	260	19	of	of	ADP
cana-3617	260	20	asian	asian	ADJ
cana-3617	260	21	elephants	elephant	NOUN
cana-3617	260	22	in	in	ADP
cana-3617	260	23	india	india	PROPN
cana-3617	260	24	can	can	AUX
cana-3617	260	25	be	be	AUX
cana-3617	260	26	achieved	achieve	VERB
cana-3617	260	27	.	.	PUNCT
cana-3617	261	1	this	this	DET
cana-3617	261	2	projected	project	VERB
cana-3617	261	3	population	population	NOUN
cana-3617	261	4	trend	trend	NOUN
cana-3617	261	5	helps	help	VERB
cana-3617	261	6	authorities	authority	NOUN
cana-3617	261	7	better	well	ADV
cana-3617	261	8	understand	understand	VERB
cana-3617	261	9	the	the	DET
cana-3617	261	10	usage	usage	NOUN
cana-3617	261	11	of	of	ADP
cana-3617	261	12	resources	resource	NOUN
cana-3617	261	13	and	and	CCONJ
cana-3617	261	14	efforts	effort	NOUN
cana-3617	261	15	required	require	VERB
cana-3617	261	16	to	to	PART
cana-3617	261	17	protect	protect	VERB
cana-3617	261	18	these	these	DET
cana-3617	261	19	endangered	endangered	ADJ
cana-3617	261	20	animals	animal	NOUN
cana-3617	261	21	.	.	PUNCT
cana-3617	262	1	also	also	ADV
cana-3617	262	2	,	,	PUNCT
cana-3617	262	3	it	it	PRON
cana-3617	262	4	gives	give	VERB
cana-3617	262	5	a	a	DET
cana-3617	262	6	basic	basic	ADJ
cana-3617	262	7	insight	insight	NOUN
cana-3617	262	8	into	into	ADP
cana-3617	262	9	the	the	DET
cana-3617	262	10	trends	trend	NOUN
cana-3617	262	11	of	of	ADP
cana-3617	262	12	the	the	DET
cana-3617	262	13	population	population	NOUN
cana-3617	262	14	of	of	ADP
cana-3617	262	15	asian	asian	ADJ
cana-3617	262	16	elephants	elephant	NOUN
cana-3617	262	17	.	.	PUNCT
cana-3617	263	1	references	reference	NOUN
cana-3617	263	2	[	[	X
cana-3617	263	3	1	1	NUM
cana-3617	263	4	]	]	PUNCT
cana-3617	263	5	avinash	avinash	PROPN
cana-3617	263	6	krishnan	krishnan	PROPN
cana-3617	263	7	,	,	PUNCT
cana-3617	263	8	nicholas	nicholas	PROPN
cana-3617	263	9	warren	warren	PROPN
cana-3617	263	10	,	,	PUNCT
cana-3617	263	11	upasana	upasana	PROPN
cana-3617	263	12	ganguly	ganguly	PROPN
cana-3617	263	13	,	,	PUNCT
cana-3617	263	14	ekadh	ekadh	PROPN
cana-3617	263	15	ranganathan	ranganathan	PROPN
cana-3617	263	16	and	and	CCONJ
cana-3617	263	17	dilip	dilip	PROPN
cana-3617	263	18	kumar	kumar	PROPN
cana-3617	263	19	.	.	PROPN
cana-3617	263	20	2023	2023	NUM
cana-3617	263	21	.	.	PUNCT
cana-3617	264	1	"	"	PUNCT
cana-3617	264	2	road	road	NOUN
cana-3617	264	3	for	for	ADP
cana-3617	264	4	elephants	elephant	NOUN
cana-3617	264	5	:	:	PUNCT
cana-3617	264	6	elephant	elephant	NOUN
cana-3617	264	7	use	use	NOUN
cana-3617	264	8	of	of	ADP
cana-3617	264	9	the	the	DET
cana-3617	264	10	karadikkal	karadikkal	NOUN
cana-3617	264	11	-	-	PUNCT
cana-3617	264	12	madeshwara	madeshwara	PROPN
cana-3617	264	13	corridor	corridor	PROPN
cana-3617	264	14	,	,	PUNCT
cana-3617	264	15	southern	southern	ADJ
cana-3617	264	16	india	india	PROPN
cana-3617	264	17	.	.	PUNCT
cana-3617	264	18	"	"	PUNCT
cana-3617	265	1	gajah	gajah	PROPN
cana-3617	265	2	56	56	NUM
cana-3617	265	3	(	(	PUNCT
cana-3617	265	4	2023	2023	NUM
cana-3617	265	5	)	)	PUNCT
cana-3617	265	6	4	4	NUM
cana-3617	265	7	-	-	SYM
cana-3617	265	8	9	9	NUM
cana-3617	265	9	https://doi.org/10.2305/dihx2111	https://doi.org/10.2305/dihx2111	NOUN
cana-3617	265	10	[	[	X
cana-3617	265	11	2	2	NUM
cana-3617	265	12	]	]	PUNCT
cana-3617	265	13	ayhan	ayhan	PROPN
cana-3617	265	14	yilmaz	yilmaz	PROPN
cana-3617	265	15	,	,	PUNCT
cana-3617	265	16	ferda	ferda	PROPN
cana-3617	265	17	karakus	karakus	PROPN
cana-3617	265	18	,	,	PUNCT
cana-3617	265	19	mehmet	mehmet	PROPN
cana-3617	265	20	bingöl	bingöl	PROPN
cana-3617	265	21	,	,	PUNCT
cana-3617	265	22	baris	baris	PROPN
cana-3617	265	23	kaki	kaki	PROPN
cana-3617	265	24	,	,	PUNCT
cana-3617	265	25	gazel	gazel	ADJ
cana-3617	265	26	ser	ser	NOUN
cana-3617	265	27	.	.	PROPN
cana-3617	265	28	2018	2018	NUM
cana-3617	265	29	.	.	PUNCT
cana-3617	266	1	"	"	PUNCT
cana-3617	266	2	effects	effect	NOUN
cana-3617	266	3	of	of	ADP
cana-3617	266	4	some	some	DET
cana-3617	266	5	factors	factor	NOUN
cana-3617	266	6	on	on	ADP
cana-3617	266	7	growth	growth	NOUN
cana-3617	266	8	of	of	ADP
cana-3617	266	9	lambs	lamb	NOUN
cana-3617	266	10	and	and	CCONJ
cana-3617	266	11	the	the	DET
cana-3617	266	12	determination	determination	NOUN
cana-3617	266	13	of	of	ADP
cana-3617	266	14	growth	growth	NOUN
cana-3617	266	15	curve	curve	NOUN
cana-3617	266	16	models	model	NOUN
cana-3617	266	17	.	.	PUNCT
cana-3617	266	18	"	"	PUNCT
cana-3617	266	19	indian	indian	ADJ
cana-3617	266	20	journal	journal	NOUN
cana-3617	266	21	of	of	ADP
cana-3617	266	22	animal	animal	NOUN
cana-3617	266	23	research	research	NOUN
cana-3617	266	24	https://doi.org/10.18805/ijar.b-815	https://doi.org/10.18805/ijar.b-815	NOUN
cana-3617	266	25	[	[	X
cana-3617	266	26	3	3	NUM
cana-3617	266	27	]	]	X
cana-3617	266	28	brauer	brauer	PROPN
cana-3617	266	29	,	,	PUNCT
cana-3617	266	30	fred	fred	PROPN
cana-3617	266	31	.	.	PUNCT
cana-3617	266	32	2010	2010	NUM
cana-3617	266	33	.	.	PUNCT
cana-3617	267	1	"	"	PUNCT
cana-3617	267	2	mathematical	mathematical	ADJ
cana-3617	267	3	models	model	NOUN
cana-3617	267	4	in	in	ADP
cana-3617	267	5	population	population	NOUN
cana-3617	267	6	biology	biology	NOUN
cana-3617	267	7	and	and	CCONJ
cana-3617	267	8	epidemiology	epidemiology	NOUN
cana-3617	267	9	.	.	PUNCT
cana-3617	267	10	"	"	PUNCT
cana-3617	268	1	20	20	NUM
cana-3617	268	2	-	-	SYM
cana-3617	268	3	23	23	NUM
cana-3617	268	4	springer	springer	NOUN
cana-3617	268	5	.	.	PUNCT
cana-3617	269	1	[	[	X
cana-3617	269	2	4	4	X
cana-3617	269	3	]	]	X
cana-3617	269	4	d.	d.	PROPN
cana-3617	269	5	jathanna	jathanna	PROPN
cana-3617	269	6	,	,	PUNCT
cana-3617	269	7	k.u	k.u	PROPN
cana-3617	269	8	.	.	PROPN
cana-3617	269	9	karanth	karanth	PROPN
cana-3617	269	10	,	,	PUNCT
cana-3617	269	11	n.s	n.s	PROPN
cana-3617	269	12	.	.	PROPN
cana-3617	269	13	kumar	kumar	PROPN
cana-3617	269	14	,	,	PUNCT
cana-3617	269	15	k.k	k.k	PROPN
cana-3617	269	16	.	.	PROPN
cana-3617	269	17	karanth	karanth	PROPN
cana-3617	269	18	,	,	PUNCT
cana-3617	269	19	v.r	v.r	PROPN
cana-3617	269	20	.	.	PROPN
cana-3617	269	21	goswami	goswami	PROPN
cana-3617	269	22	.	.	PUNCT
cana-3617	270	1	2015	2015	NUM
cana-3617	270	2	.	.	PUNCT
cana-3617	271	1	"	"	PUNCT
cana-3617	271	2	patterns	pattern	NOUN
cana-3617	271	3	and	and	CCONJ
cana-3617	271	4	determinants	determinant	NOUN
cana-3617	271	5	of	of	ADP
cana-3617	271	6	habitat	habitat	ADJ
cana-3617	271	7	occupancy	occupancy	NOUN
cana-3617	271	8	by	by	ADP
cana-3617	271	9	the	the	DET
cana-3617	271	10	asian	asian	ADJ
cana-3617	271	11	elephant	elephant	NOUN
cana-3617	271	12	in	in	ADP
cana-3617	271	13	the	the	DET
cana-3617	271	14	western	western	ADJ
cana-3617	271	15	ghats	ghat	NOUN
cana-3617	271	16	of	of	ADP
cana-3617	271	17	karnataka	karnataka	PROPN
cana-3617	271	18	,	,	PUNCT
cana-3617	271	19	india	india	PROPN
cana-3617	271	20	.	.	PUNCT
cana-3617	271	21	"	"	PUNCT
cana-3617	272	1	elsevier	elsevier	NOUN
cana-3617	272	2	https://doi.org/10.1371/journal.pone.0133233	https://doi.org/10.1371/journal.pone.0133233	NOUN
cana-3617	272	3	.	.	PUNCT
cana-3617	273	1	[	[	X
cana-3617	273	2	5	5	X
cana-3617	273	3	]	]	X
cana-3617	273	4	douglas	douglas	PROPN
cana-3617	273	5	-	-	PUNCT
cana-3617	273	6	hamilton	hamilton	PROPN
cana-3617	273	7	,	,	PUNCT
cana-3617	273	8	dr	dr	PROPN
cana-3617	273	9	.	.	PROPN
cana-3617	273	10	iain	iain	PROPN
cana-3617	273	11	.	.	PUNCT
cana-3617	274	1	2024	2024	NUM
cana-3617	274	2	.	.	PUNCT
cana-3617	275	1	why	why	SCONJ
cana-3617	275	2	care	care	NOUN
cana-3617	275	3	.	.	PUNCT
cana-3617	276	1	https://worldelephantday.org/about/elephants	https://worldelephantday.org/about/elephant	NOUN
cana-3617	277	1	[	[	X
cana-3617	277	2	6	6	NUM
cana-3617	277	3	]	]	PUNCT
cana-3617	277	4	elephant	elephant	NOUN
cana-3617	277	5	population	population	NOUN
cana-3617	277	6	(	(	PUNCT
cana-3617	277	7	afesg	afesg	PROPN
cana-3617	277	8	&	&	CCONJ
cana-3617	277	9	asesg	asesg	PROPN
cana-3617	277	10	,	,	PUNCT
cana-3617	277	11	2019	2019	NUM
cana-3617	277	12	)	)	PUNCT
cana-3617	277	13	–	–	PUNCT
cana-3617	277	14	processed	process	VERB
cana-3617	277	15	by	by	ADP
cana-3617	277	16	our	our	PRON
cana-3617	277	17	world	world	NOUN
cana-3617	277	18	in	in	ADP
cana-3617	277	19	data	datum	NOUN
cana-3617	277	20	.	.	PUNCT
cana-3617	278	1	“	"	PUNCT
cana-3617	278	2	number	number	NOUN
cana-3617	278	3	of	of	ADP
cana-3617	278	4	asian	asian	ADJ
cana-3617	278	5	elephants	elephant	NOUN
cana-3617	278	6	”	"	PUNCT
cana-3617	278	7	.	.	PUNCT
cana-3617	279	1	elephant	elephant	NOUN
cana-3617	279	2	population	population	NOUN
cana-3617	279	3	(	(	PUNCT
cana-3617	279	4	afesg	afesg	PROPN
cana-3617	279	5	&	&	CCONJ
cana-3617	279	6	asesg	asesg	PROPN
cana-3617	279	7	,	,	PUNCT
cana-3617	279	8	2019	2019	NUM
cana-3617	279	9	)	)	PUNCT
cana-3617	279	10	.	.	PUNCT
cana-3617	280	1	[	[	X
cana-3617	280	2	7	7	X
cana-3617	280	3	]	]	SYM
cana-3617	280	4	https://ourworldindata.org/grapher/number-of-asian-elephants?tab=chart&time=earliest..2017	https://ourworldindata.org/grapher/number-of-asian-elephants?tab=chart&time=earliest..2017	PRON
cana-3617	280	5	[	[	X
cana-3617	280	6	8	8	NUM
cana-3617	280	7	]	]	X
cana-3617	280	8	haixia	haixia	NOUN
cana-3617	280	9	xu	xu	PROPN
cana-3617	280	10	,	,	PUNCT
cana-3617	280	11	luguang	luguang	PROPN
cana-3617	280	12	jiang	jiang	PROPN
cana-3617	280	13	,	,	PUNCT
cana-3617	280	14	ye	ye	PROPN
cana-3617	280	15	liu	liu	PROPN
cana-3617	280	16	.	.	PUNCT
cana-3617	281	1	2024	2024	NUM
cana-3617	281	2	.	.	PUNCT
cana-3617	282	1	"	"	PUNCT
cana-3617	282	2	ecological	ecological	ADJ
cana-3617	282	3	informatics	informatic	NOUN
cana-3617	282	4	.	.	PUNCT
cana-3617	282	5	"	"	PUNCT
cana-3617	283	1	elsevier	elsevi	ADJ
cana-3617	283	2	https://doi.org/10.1016/j.ecoinf.2024.102518	https://doi.org/10.1016/j.ecoinf.2024.102518	ADJ
cana-3617	283	3	communications	communication	NOUN
cana-3617	283	4	on	on	ADP
cana-3617	283	5	applied	apply	VERB
cana-3617	283	6	nonlinear	nonlinear	ADJ
cana-3617	283	7	analysis	analysis	NOUN
cana-3617	283	8	issn	issn	NOUN
cana-3617	283	9	:	:	PUNCT
cana-3617	283	10	1074	1074	NUM
cana-3617	283	11	-	-	PUNCT
cana-3617	283	12	133x	133x	NUM
cana-3617	283	13	vol	vol	NOUN
cana-3617	283	14	32	32	NUM
cana-3617	283	15	no	no	NOUN
cana-3617	283	16	.	.	PUNCT
cana-3617	284	1	8s	8s	PROPN
cana-3617	284	2	(	(	PUNCT
cana-3617	284	3	2025	2025	NUM
cana-3617	284	4	)	)	PUNCT
cana-3617	284	5	181	181	NUM
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cana-3617	285	1	[	[	X
cana-3617	285	2	9	9	NUM
cana-3617	285	3	]	]	PUNCT
cana-3617	285	4	hannah	hannah	PROPN
cana-3617	285	5	,	,	PUNCT
cana-3617	285	6	ritchie	ritchie	PROPN
cana-3617	285	7	.	.	PROPN
cana-3617	285	8	2022	2022	NUM
cana-3617	285	9	.	.	PUNCT
cana-3617	286	1	the	the	DET
cana-3617	286	2	state	state	NOUN
cana-3617	286	3	of	of	ADP
cana-3617	286	4	the	the	DET
cana-3617	286	5	world	world	NOUN
cana-3617	286	6	’s	’s	PART
cana-3617	286	7	elephant	elephant	NOUN
cana-3617	286	8	populations	population	NOUN
cana-3617	286	9	.	.	PUNCT
cana-3617	287	1	12	12	NUM
cana-3617	287	2	1	1	NUM
cana-3617	287	3	.	.	PUNCT
cana-3617	287	4	https://ourworldindata.org/elephantpopulations#:~:text=for%20the%20asian%20species%2c%20this,on%20the%20iucn%20red%20list	https://ourworldindata.org/elephantpopulations#:~:text=for%20the%20asian%20species%2c%20this,on%20the%20iucn%20red%20list	PROPN
cana-3617	287	5	.	.	PUNCT
cana-3617	288	1	[	[	X
cana-3617	288	2	10	10	NUM
cana-3617	288	3	]	]	X
cana-3617	288	4	karanth	karanth	NOUN
cana-3617	288	5	,	,	PUNCT
cana-3617	288	6	k.	k.	PROPN
cana-3617	288	7	ullas	ullas	PROPN
cana-3617	288	8	.	.	PROPN
cana-3617	288	9	2018	2018	NUM
cana-3617	288	10	.	.	PUNCT
cana-3617	289	1	"	"	PUNCT
cana-3617	289	2	reconciling	reconcile	VERB
cana-3617	289	3	rights	right	NOUN
cana-3617	289	4	of	of	ADP
cana-3617	289	5	individuals	individual	NOUN
cana-3617	289	6	with	with	ADP
cana-3617	289	7	rights	right	NOUN
cana-3617	289	8	of	of	ADP
cana-3617	289	9	wild	wild	ADJ
cana-3617	289	10	species	specie	NOUN
cana-3617	289	11	.	.	PUNCT
cana-3617	289	12	"	"	PUNCT
cana-3617	290	1	ecology	ecology	NOUN
cana-3617	290	2	,	,	PUNCT
cana-3617	290	3	economy	economy	NOUN
cana-3617	290	4	and	and	CCONJ
cana-3617	290	5	society	society	NOUN
cana-3617	290	6	–	–	PUNCT
cana-3617	290	7	the	the	DET
cana-3617	290	8	insee	insee	ADJ
cana-3617	290	9	87	87	NUM
cana-3617	290	10	-	-	SYM
cana-3617	290	11	90	90	NUM
cana-3617	290	12	,	,	PUNCT
cana-3617	290	13	https://doi.org/10.37773/ees.v1i1.21	https://doi.org/10.37773/ees.v1i1.21	PROPN
cana-3617	290	14	.	.	PUNCT
cana-3617	291	1	[	[	X
cana-3617	291	2	11	11	NUM
cana-3617	291	3	]	]	X
cana-3617	291	4	levin	levin	PROPN
cana-3617	291	5	,	,	PUNCT
cana-3617	291	6	simon	simon	PROPN
cana-3617	291	7	a.	a.	PROPN
cana-3617	291	8	2021	2021	NUM
cana-3617	291	9	.	.	PUNCT
cana-3617	292	1	"	"	PUNCT
cana-3617	292	2	mathematical	mathematical	ADJ
cana-3617	292	3	ecology	ecology	NOUN
cana-3617	292	4	,	,	PUNCT
cana-3617	292	5	evolution	evolution	NOUN
cana-3617	292	6	,	,	PUNCT
cana-3617	292	7	and	and	CCONJ
cana-3617	292	8	the	the	DET
cana-3617	292	9	social	social	ADJ
cana-3617	292	10	sciences	science	NOUN
cana-3617	292	11	.	.	PUNCT
cana-3617	292	12	"	"	PUNCT
cana-3617	293	1	ecology	ecology	NOUN
cana-3617	293	2	,	,	PUNCT
cana-3617	293	3	economy	economy	NOUN
cana-3617	293	4	and	and	CCONJ
cana-3617	293	5	society	society	NOUN
cana-3617	293	6	–	–	PUNCT
cana-3617	293	7	the	the	DET
cana-3617	293	8	insee	insee	ADJ
cana-3617	293	9	journal	journal	NOUN
cana-3617	293	10	no	no	INTJ
cana-3617	293	11	.	.	PROPN
cana-3617	293	12	1	1	NUM
cana-3617	293	13	(	(	PUNCT
cana-3617	293	14	2021	2021	NUM
cana-3617	293	15	):	):	PUNCT
cana-3617	293	16	5–12	5–12	NOUN
cana-3617	293	17	.	.	PUNCT
cana-3617	294	1	https://doi.org/10.37773/ees.v4i1.401	https://doi.org/10.37773/ees.v4i1.401	NOUN
cana-3617	294	2	.	.	PUNCT
cana-3617	295	1	[	[	X
cana-3617	295	2	12	12	NUM
cana-3617	295	3	]	]	X
cana-3617	295	4	n.d	n.d	PROPN
cana-3617	295	5	.	.	PROPN
cana-3617	296	1	people	people	NOUN
cana-3617	296	2	's	's	PART
cana-3617	296	3	trust	trust	NOUN
cana-3617	296	4	for	for	ADP
cana-3617	296	5	endangered	endangered	ADJ
cana-3617	296	6	species	specie	NOUN
cana-3617	296	7	.	.	PUNCT
cana-3617	297	1	accessed	access	VERB
cana-3617	297	2	january	january	PROPN
cana-3617	297	3	5	5	NUM
cana-3617	297	4	,	,	PUNCT
cana-3617	297	5	2024	2024	NUM
cana-3617	297	6	.	.	PUNCT
cana-3617	298	1	https://ptes.org/danger-of-death-for-asianelephants/#:~:text=asian%20elephants%20are%20the%20smaller,the%20yangtze%20river%20in%20china	https://ptes.org/danger-of-death-for-asianelephants/#:~:text=asian%20elephants%20are%20the%20smaller,the%20yangtze%20river%20in%20china	NOUN
cana-3617	298	2	.	.	PUNCT
cana-3617	299	1	[	[	X
cana-3617	299	2	13	13	NUM
cana-3617	299	3	]	]	X
cana-3617	299	4	rahul	rahul	PROPN
cana-3617	299	5	de	de	PROPN
cana-3617	299	6	,	,	PUNCT
cana-3617	299	7	reeta	reeta	PROPN
cana-3617	299	8	sharma	sharma	PROPN
cana-3617	299	9	,	,	PUNCT
cana-3617	299	10	priya	priya	PROPN
cana-3617	299	11	davidar	davidar	PROPN
cana-3617	299	12	,	,	PUNCT
cana-3617	299	13	n.	n.	PROPN
cana-3617	299	14	arumugam	arumugam	NOUN
cana-3617	299	15	,	,	PUNCT
cana-3617	299	16	arulmozhi	arulmozhi	ADJ
cana-3617	299	17	sedhupathy	sedhupathy	NOUN
cana-3617	299	18	,	,	PUNCT
cana-3617	299	19	jean	jean	PROPN
cana-3617	299	20	-	-	PUNCT
cana-3617	299	21	philippe	philippe	PROPN
cana-3617	299	22	puyravaud	puyravaud	PROPN
cana-3617	299	23	,	,	PUNCT
cana-3617	299	24	k.	k.	PROPN
cana-3617	299	25	muthamizh	muthamizh	PROPN
cana-3617	299	26	selvan	selvan	PROPN
cana-3617	299	27	,	,	PUNCT
cana-3617	299	28	p.p	p.p	PROPN
cana-3617	299	29	.	.	PROPN
cana-3617	299	30	abdul	abdul	PROPN
cana-3617	299	31	rahim	rahim	PROPN
cana-3617	299	32	,	,	PUNCT
cana-3617	299	33	swati	swati	PROPN
cana-3617	299	34	udayraj	udayraj	PROPN
cana-3617	299	35	,	,	PUNCT
cana-3617	299	36	jyotirmayee	jyotirmayee	PROPN
cana-3617	299	37	parida	parida	PROPN
cana-3617	299	38	,	,	PUNCT
cana-3617	299	39	dinesh	dinesh	PROPN
cana-3617	299	40	kumar	kumar	PROPN
cana-3617	299	41	digal	digal	PROPN
cana-3617	299	42	,	,	PUNCT
cana-3617	299	43	rajapandian	rajapandian	ADJ
cana-3617	299	44	kanagaraj	kanagaraj	PROPN
cana-3617	299	45	,	,	PUNCT
cana-3617	299	46	kashmira	kashmira	PROPN
cana-3617	299	47	kakati	kakati	PROPN
cana-3617	299	48	,	,	PUNCT
cana-3617	299	49	parag	parag	PROPN
cana-3617	299	50	nigam	nigam	PROPN
cana-3617	299	51	,	,	PUNCT
cana-3617	299	52	a.	a.	PROPN
cana-3617	299	53	christ	christ	PROPN
cana-3617	299	54	.	.	PUNCT
cana-3617	300	1	2021	2021	NUM
cana-3617	300	2	.	.	PUNCT
cana-3617	301	1	[	[	X
cana-3617	301	2	14	14	NUM
cana-3617	301	3	]	]	PUNCT
cana-3617	301	4	"	"	PUNCT
cana-3617	301	5	pan	pan	ADJ
cana-3617	301	6	-	-	ADJ
cana-3617	301	7	india	india	PROPN
cana-3617	301	8	population	population	NOUN
cana-3617	301	9	genetics	genetic	NOUN
cana-3617	301	10	signifies	signify	VERB
cana-3617	301	11	the	the	DET
cana-3617	301	12	importance	importance	NOUN
cana-3617	301	13	of	of	ADP
cana-3617	301	14	habitat	habitat	ADJ
cana-3617	301	15	connectivity	connectivity	NOUN
cana-3617	301	16	for	for	ADP
cana-3617	301	17	wild	wild	ADJ
cana-3617	301	18	asian	asian	ADJ
cana-3617	301	19	elephant	elephant	NOUN
cana-3617	301	20	conservation	conservation	NOUN
cana-3617	301	21	,	,	PUNCT
cana-3617	301	22	.	.	PUNCT
cana-3617	301	23	"	"	PUNCT
cana-3617	302	1	global	global	ADJ
cana-3617	302	2	ecology	ecology	NOUN
cana-3617	302	3	and	and	CCONJ
cana-3617	302	4	conservation	conservation	NOUN
cana-3617	302	5	,	,	PUNCT
cana-3617	302	6	volume	volume	NOUN
cana-3617	302	7	32	32	NUM
cana-3617	302	8	,	,	PUNCT
cana-3617	302	9	https://doi.org/10.1016/j.gecco.2021.e01888	https://doi.org/10.1016/j.gecco.2021.e01888	X
cana-3617	302	10	.	.	PUNCT
cana-3617	303	1	[	[	X
cana-3617	303	2	15	15	NUM
cana-3617	303	3	]	]	X
cana-3617	303	4	ramesh	ramesh	PROPN
cana-3617	303	5	k.	k.	PROPN
cana-3617	303	6	pandey	pandey	PROPN
cana-3617	303	7	,	,	PUNCT
cana-3617	303	8	satya	satya	PROPN
cana-3617	303	9	p.	p.	NOUN
cana-3617	303	10	yadav	yadav	PROPN
cana-3617	303	11	,	,	PUNCT
cana-3617	303	12	k.	k.	PROPN
cana-3617	303	13	muthamizh	muthamizh	PROPN
cana-3617	303	14	selvan	selvan	PROPN
cana-3617	303	15	,	,	PUNCT
cana-3617	303	16	lakshminarayanan	lakshminarayanan	PROPN
cana-3617	303	17	natarajan	natarajan	PROPN
cana-3617	303	18	,	,	PUNCT
cana-3617	303	19	parag	parag	PROPN
cana-3617	303	20	nigam	nigam	PROPN
cana-3617	303	21	.	.	PUNCT
cana-3617	303	22	2024	2024	NUM
cana-3617	303	23	.	.	PUNCT
cana-3617	304	1	"	"	PUNCT
cana-3617	304	2	elephant	elephant	NOUN
cana-3617	304	3	conservation	conservation	NOUN
cana-3617	304	4	in	in	ADP
cana-3617	304	5	india	india	PROPN
cana-3617	304	6	:	:	PUNCT
cana-3617	304	7	striking	strike	VERB
cana-3617	304	8	a	a	DET
cana-3617	304	9	balance	balance	NOUN
cana-3617	304	10	between	between	ADP
cana-3617	304	11	coexistence	coexistence	NOUN
cana-3617	304	12	and	and	CCONJ
cana-3617	304	13	conflicts	conflict	NOUN
cana-3617	304	14	.	.	PUNCT
cana-3617	304	15	"	"	PUNCT
cana-3617	304	16	integrative	integrative	ADJ
cana-3617	304	17	conservation	conservation	NOUN
cana-3617	304	18	1	1	NUM
cana-3617	304	19	-	-	SYM
cana-3617	304	20	11	11	NUM
cana-3617	304	21	https://doi.org/10.1002/inc3.38	https://doi.org/10.1002/inc3.38	NOUN
cana-3617	304	22	.	.	PUNCT
cana-3617	305	1	[	[	X
cana-3617	305	2	16	16	NUM
cana-3617	305	3	]	]	X
cana-3617	305	4	saxena	saxena	PROPN
cana-3617	305	5	,	,	PUNCT
cana-3617	305	6	vinod	vinod	PROPN
cana-3617	305	7	p.	p.	PROPN
cana-3617	305	8	2023	2023	NUM
cana-3617	305	9	.	.	PUNCT
cana-3617	306	1	"	"	PUNCT
cana-3617	306	2	mathematical	mathematical	ADJ
cana-3617	306	3	modelling	modelling	NOUN
cana-3617	306	4	of	of	ADP
cana-3617	306	5	biological	biological	ADJ
cana-3617	306	6	populations	population	NOUN
cana-3617	306	7	with	with	ADP
cana-3617	306	8	and	and	CCONJ
cana-3617	306	9	without	without	ADP
cana-3617	306	10	dispersion	dispersion	NOUN
cana-3617	306	11	.	.	PUNCT
cana-3617	306	12	"	"	PUNCT
cana-3617	307	1	taylor	taylor	PROPN
cana-3617	307	2	&	&	CCONJ
cana-3617	307	3	francis	francis	PROPN
cana-3617	307	4	volume	volume	PROPN
cana-3617	307	5	1	1	NUM
cana-3617	307	6	https://doi.org/10.1080/27684520.2023.2215638	https://doi.org/10.1080/27684520.2023.2215638	NOUN
cana-3617	307	7	.	.	PUNCT
cana-3617	308	1	[	[	X
cana-3617	308	2	17	17	NUM
cana-3617	308	3	]	]	X
cana-3617	308	4	stokstad	stokstad	PROPN
cana-3617	308	5	,	,	PUNCT
cana-3617	308	6	erik	erik	PROPN
cana-3617	308	7	.	.	PUNCT
cana-3617	309	1	2017	2017	NUM
cana-3617	309	2	.	.	PUNCT
cana-3617	310	1	"	"	PUNCT
cana-3617	310	2	this	this	PRON
cana-3617	310	3	is	be	AUX
cana-3617	310	4	amazing	amazing	ADJ
cana-3617	310	5	!	!	PUNCT
cana-3617	310	6	'	'	PUNCT
cana-3617	311	1	african	african	ADJ
cana-3617	311	2	elephants	elephant	NOUN
cana-3617	311	3	may	may	AUX
cana-3617	311	4	transport	transport	VERB
cana-3617	311	5	seeds	seed	NOUN
cana-3617	311	6	farther	far	ADV
cana-3617	311	7	than	than	ADP
cana-3617	311	8	any	any	DET
cana-3617	311	9	other	other	ADJ
cana-3617	311	10	land	land	NOUN
cana-3617	311	11	animal	animal	NOUN
cana-3617	311	12	.	.	PUNCT
cana-3617	311	13	"	"	PUNCT
cana-3617	312	1	science	science	NOUN
cana-3617	312	2	doi	doi	NOUN
cana-3617	312	3	:	:	PUNCT
cana-3617	312	4	10.1126	10.1126	NUM
cana-3617	312	5	/	/	SYM
cana-3617	312	6	science.aal1023	science.aal1023	NOUN
cana-3617	312	7	.	.	PUNCT
cana-3617	313	1	https://www.science.org/content/article/amazing-africanelephants-may-transport-seeds-farther-any-other-land-animal	https://www.science.org/content/article/amazing-africanelephants-may-transport-seeds-farther-any-other-land-animal	PROPN
cana-3617	313	2	.	.	PUNCT
cana-3617	314	1	[	[	X
cana-3617	314	2	18	18	NUM
cana-3617	314	3	]	]	X
cana-3617	314	4	swaroop	swaroop	NOUN
cana-3617	314	5	,	,	PUNCT
cana-3617	314	6	brijendar	brijendar	NOUN
cana-3617	314	7	.	.	PUNCT
cana-3617	314	8	2021	2021	NUM
cana-3617	314	9	.	.	PUNCT
cana-3617	315	1	"	"	PUNCT
cana-3617	315	2	asian	asian	ADJ
cana-3617	315	3	elephants	elephant	NOUN
cana-3617	315	4	(	(	PUNCT
cana-3617	315	5	elephas	elepha	NOUN
cana-3617	315	6	maximus	maximus	PROPN
cana-3617	315	7	)	)	PUNCT
cana-3617	315	8	and	and	CCONJ
cana-3617	315	9	its	its	PRON
cana-3617	315	10	global	global	ADJ
cana-3617	315	11	status	status	NOUN
cana-3617	315	12	.	.	PUNCT
cana-3617	315	13	"	"	PUNCT
cana-3617	315	14	trumpet	trumpet	NOUN
cana-3617	315	15	p	p	NOUN
cana-3617	315	16	r	r	NOUN
cana-3617	315	17	o	o	X
cana-3617	315	18	j	j	PROPN
cana-3617	315	19	e	e	X
cana-3617	315	20	c	c	PROPN
cana-3617	315	21	t	t	PROPN
cana-3617	315	22	e	e	X
cana-3617	315	23	l	l	NOUN
cana-3617	315	24	e	e	X
cana-3617	315	25	p	p	NOUN
cana-3617	315	26	h	h	PROPN
cana-3617	315	27	a	a	PRON
cana-3617	315	28	n	n	NOUN
cana-3617	315	29	t	t	NOUN
cana-3617	316	1	d	d	NOUN
cana-3617	316	2	i	i	PRON
cana-3617	316	3	v	v	VERB
cana-3617	317	1	i	i	PRON
cana-3617	317	2	s	s	VERB
cana-3617	318	1	i	i	PRON
cana-3617	318	2	o	o	NOUN
cana-3617	318	3	n	n	PRON
cana-3617	318	4	ministry	ministry	PROPN
cana-3617	318	5	of	of	ADP
cana-3617	318	6	environment	environment	PROPN
cana-3617	318	7	,	,	PUNCT
cana-3617	318	8	forest	forest	NOUN
cana-3617	318	9	&	&	CCONJ
cana-3617	318	10	climate	climate	PROPN
cana-3617	318	11	change	change	NOUN
cana-3617	318	12	2020	2020	NUM
cana-3617	318	13	https://moef.gov.in/wp-content/uploads/2021/08/newsletter_final_compressed.pdf	https://moef.gov.in/wp-content/uploads/2021/08/newsletter_final_compressed.pdf	NOUN
cana-3617	318	14	.	.	PUNCT
cana-3617	319	1	[	[	X
cana-3617	319	2	19	19	NUM
cana-3617	319	3	]	]	SYM
cana-3617	319	4	veeresham	veeresham	NOUN
cana-3617	319	5	,	,	PUNCT
cana-3617	319	6	prof	prof	NOUN
cana-3617	319	7	.	.	PUNCT
cana-3617	320	1	(	(	PUNCT
cana-3617	320	2	dr	dr	PROPN
cana-3617	320	3	.	.	PROPN
cana-3617	320	4	)	)	PUNCT
cana-3617	320	5	ciddi	ciddi	ADJ
cana-3617	320	6	.	.	PUNCT
cana-3617	320	7	2012	2012	NUM
cana-3617	320	8	.	.	PUNCT
cana-3617	321	1	"	"	PUNCT
cana-3617	321	2	national	national	ADJ
cana-3617	321	3	library	library	NOUN
cana-3617	321	4	of	of	ADP
cana-3617	321	5	medicine	medicine	NOUN
cana-3617	321	6	.	.	PUNCT
cana-3617	321	7	"	"	PUNCT
cana-3617	322	1	journal	journal	NOUN
cana-3617	322	2	of	of	ADP
cana-3617	322	3	advanced	advanced	ADJ
cana-3617	322	4	pharmaceutical	pharmaceutical	NOUN
cana-3617	322	5	&	&	CCONJ
cana-3617	322	6	research	research	PROPN
cana-3617	322	7	10.4103/2231	10.4103/2231	PROPN
cana-3617	322	8	-	-	SYM
cana-3617	322	9	4040.104709	4040.104709	ADJ
cana-3617	322	10	.	.	PUNCT
cana-3617	322	11	https://www.ncbi.nlm.nih.gov/pmc/articles/pmc3560124/.	https://www.ncbi.nlm.nih.gov/pmc/articles/pmc3560124/.	NOUN
cana-3617	323	1	[	[	X
cana-3617	323	2	20	20	NUM
cana-3617	323	3	]	]	X
cana-3617	323	4	water	water	NOUN
cana-3617	323	5	,	,	PUNCT
cana-3617	323	6	antoinette	antoinette	PROPN
cana-3617	323	7	van	van	PROPN
cana-3617	323	8	de,1	de,1	PROPN
cana-3617	323	9	,	,	PUNCT
cana-3617	323	10	enrico	enrico	PROPN
cana-3617	323	11	di	di	PROPN
cana-3617	323	12	minin	minin	PROPN
cana-3617	323	13	,	,	PUNCT
cana-3617	323	14	rob	rob	PROPN
cana-3617	323	15	slotow	slotow	PROPN
cana-3617	323	16	.	.	PUNCT
cana-3617	324	1	2022	2022	NUM
cana-3617	324	2	.	.	PUNCT
cana-3617	325	1	"	"	PUNCT
cana-3617	325	2	human	human	ADJ
cana-3617	325	3	-	-	PUNCT
cana-3617	325	4	elephant	elephant	NOUN
cana-3617	325	5	coexistence	coexistence	NOUN
cana-3617	325	6	through	through	ADP
cana-3617	325	7	aligning	align	VERB
cana-3617	325	8	conservation	conservation	NOUN
cana-3617	325	9	with	with	ADP
cana-3617	325	10	societal	societal	ADJ
cana-3617	325	11	aspirations	aspiration	NOUN
cana-3617	325	12	.	.	PUNCT
cana-3617	325	13	"	"	PUNCT
cana-3617	326	1	global	global	ADJ
cana-3617	326	2	ecology	ecology	NOUN
cana-3617	326	3	and	and	CCONJ
cana-3617	326	4	conservation	conservation	NOUN
cana-3617	326	5	,	,	PUNCT
cana-3617	326	6	volume	volume	NOUN
cana-3617	326	7	37	37	NUM
cana-3617	326	8	https://doi.org/10.1016/j.gecco.2022.e02165	https://doi.org/10.1016/j.gecco.2022.e02165	NOUN
cana-3617	326	9	.	.	PUNCT
cana-3617	327	1	williams	williams	PROPN
cana-3617	327	2	,	,	PUNCT
cana-3617	327	3	c.	c.	PROPN
cana-3617	327	4	,	,	PUNCT
cana-3617	327	5	tiwari	tiwari	PROPN
cana-3617	327	6	,	,	PUNCT
cana-3617	327	7	s.k	s.k	PROPN
cana-3617	327	8	.	.	PROPN
cana-3617	327	9	,	,	PUNCT
cana-3617	327	10	goswami	goswami	PROPN
cana-3617	327	11	,	,	PUNCT
cana-3617	327	12	v.r	v.r	PROPN
cana-3617	327	13	.	.	PROPN
cana-3617	327	14	,	,	PUNCT
cana-3617	327	15	de	de	PROPN
cana-3617	327	16	silva	silva	PROPN
cana-3617	327	17	,	,	PUNCT
cana-3617	327	18	s.	s.	PROPN
cana-3617	327	19	,	,	PUNCT
cana-3617	327	20	kumar	kumar	PROPN
cana-3617	327	21	,	,	PUNCT
cana-3617	327	22	a.	a.	PROPN
cana-3617	327	23	,	,	PUNCT
cana-3617	327	24	baskaran	baskaran	ADV
cana-3617	327	25	,	,	PUNCT
cana-3617	327	26	n.	n.	NOUN
cana-3617	327	27	,	,	PUNCT
cana-3617	327	28	yoganand	yoganand	PROPN
cana-3617	327	29	,	,	PUNCT
cana-3617	327	30	k.	k.	PROPN
cana-3617	327	31	&	&	CCONJ
cana-3617	327	32	menon	menon	PROPN
cana-3617	327	33	,	,	PUNCT
cana-3617	327	34	v.	v.	ADP
cana-3617	327	35	2020	2020	NUM
cana-3617	327	36	.	.	PUNCT
cana-3617	328	1	elephas	elepha	NOUN
cana-3617	328	2	maximus	maximus	PROPN
cana-3617	328	3	.	.	PUNCT
cana-3617	329	1	the	the	DET
cana-3617	329	2	iucn	iucn	PROPN
cana-3617	329	3	red	red	PROPN
cana-3617	329	4	list	list	NOUN
cana-3617	329	5	of	of	ADP
cana-3617	329	6	threatened	threaten	VERB
cana-3617	329	7	species	specie	NOUN
cana-3617	329	8	2020	2020	NUM
cana-3617	329	9	.	.	PUNCT
cana-3617	330	1	https://dx.doi.org/10.2305/iucn.uk.2020-3.rlts.t7140a45818198.en	https://dx.doi.org/10.2305/iucn.uk.2020-3.rlts.t7140a45818198.en	ADV