id	sid	tid	token	lemma	pos
asir-788	1	1	applied	apply	VERB
asir-788	1	2	science	science	NOUN
asir-788	1	3	and	and	CCONJ
asir-788	1	4	innovative	innovative	ADJ
asir-788	1	5	research	research	NOUN
asir-788	1	6	issn	issn	VERB
asir-788	1	7	2474	2474	NUM
asir-788	1	8	-	-	SYM
asir-788	1	9	4972	4972	NUM
asir-788	1	10	(	(	PUNCT
asir-788	1	11	print	print	NOUN
asir-788	1	12	)	)	PUNCT
asir-788	1	13	issn	issn	VERB
asir-788	1	14	2474	2474	NUM
asir-788	1	15	-	-	SYM
asir-788	1	16	4980	4980	NUM
asir-788	1	17	(	(	PUNCT
asir-788	1	18	online	online	ADJ
asir-788	1	19	)	)	PUNCT
asir-788	1	20	vol	vol	NOUN
asir-788	1	21	.	.	PROPN
asir-788	2	1	1	1	NUM
asir-788	2	2	,	,	PUNCT
asir-788	2	3	no	no	INTJ
asir-788	2	4	.	.	NOUN
asir-788	2	5	1	1	NUM
asir-788	2	6	,	,	PUNCT
asir-788	2	7	2017	2017	NUM
asir-788	2	8	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-788	2	9	1	1	NUM
asir-788	2	10	harvesting	harvesting	NOUN
asir-788	2	11	on	on	ADP
asir-788	2	12	facultative	facultative	ADJ
asir-788	2	13	mutualist	mutualist	ADJ
asir-788	2	14	prey	prey	NOUN
asir-788	2	15	species	specie	NOUN
asir-788	2	16	in	in	ADP
asir-788	2	17	presence	presence	NOUN
asir-788	2	18	of	of	ADP
asir-788	2	19	a	a	DET
asir-788	2	20	predator	predator	NOUN
asir-788	2	21	saroj	saroj	NOUN
asir-788	2	22	kumar	kumar	PROPN
asir-788	2	23	chattopadhyay1	chattopadhyay1	PROPN
asir-788	2	24	*	*	SYM
asir-788	2	25	1	1	NUM
asir-788	2	26	principal	principal	NOUN
asir-788	2	27	,	,	PUNCT
asir-788	2	28	chandraketugarh	chandraketugarh	PROPN
asir-788	2	29	sahidullah	sahidullah	PROPN
asir-788	2	30	smriti	smriti	PROPN
asir-788	2	31	mahavidyalaya	mahavidyalaya	PROPN
asir-788	2	32	berachampa	berachampa	PROPN
asir-788	2	33	,	,	PUNCT
asir-788	2	34	north	north	NOUN
asir-788	2	35	24	24	NUM
asir-788	2	36	-	-	PUNCT
asir-788	2	37	parganas	pargana	NOUN
asir-788	2	38	,	,	PUNCT
asir-788	2	39	west	west	PROPN
asir-788	2	40	bengal	bengal	PROPN
asir-788	2	41	,	,	PUNCT
asir-788	2	42	india	india	PROPN
asir-788	2	43	*	*	PUNCT
asir-788	2	44	saroj	saroj	PROPN
asir-788	2	45	kumar	kumar	PROPN
asir-788	2	46	chattopadhyay	chattopadhyay	PROPN
asir-788	2	47	,	,	PUNCT
asir-788	2	48	e	e	NOUN
asir-788	2	49	-	-	NOUN
asir-788	2	50	mail	mail	NOUN
asir-788	2	51	:	:	PUNCT
asir-788	2	52	saroj.scc@gmail.com	saroj.scc@gmail.com	PROPN
asir-788	2	53	received	receive	VERB
asir-788	2	54	:	:	PUNCT
asir-788	2	55	january	january	PROPN
asir-788	2	56	15	15	NUM
asir-788	2	57	,	,	PUNCT
asir-788	2	58	2017	2017	NUM
asir-788	2	59	accepted	accept	VERB
asir-788	2	60	:	:	PUNCT
asir-788	2	61	january	january	PROPN
asir-788	2	62	24	24	NUM
asir-788	2	63	,	,	PUNCT
asir-788	2	64	2017	2017	NUM
asir-788	2	65	online	online	ADV
asir-788	2	66	published	publish	VERB
asir-788	2	67	:	:	PUNCT
asir-788	2	68	february	february	PROPN
asir-788	2	69	5	5	NUM
asir-788	2	70	,	,	PUNCT
asir-788	2	71	2017	2017	NUM
asir-788	2	72	doi:10.22158	doi:10.22158	NOUN
asir-788	2	73	/	/	SYM
asir-788	2	74	asir.v1n1p1	asir.v1n1p1	ADJ
asir-788	2	75	url	url	NOUN
asir-788	2	76	:	:	PUNCT
asir-788	2	77	http://dx.doi.org/10.22158/asir.v1n1p1	http://dx.doi.org/10.22158/asir.v1n1p1	NOUN
asir-788	2	78	abstract	abstract	ADV
asir-788	2	79	this	this	DET
asir-788	2	80	paper	paper	NOUN
asir-788	2	81	proposes	propose	VERB
asir-788	2	82	a	a	DET
asir-788	2	83	model	model	NOUN
asir-788	2	84	with	with	ADP
asir-788	2	85	two	two	NUM
asir-788	2	86	preys	prey	NOUN
asir-788	2	87	of	of	ADP
asir-788	2	88	facultative	facultative	ADJ
asir-788	2	89	mutualist	mutualist	ADJ
asir-788	2	90	type	type	NOUN
asir-788	2	91	and	and	CCONJ
asir-788	2	92	one	one	NUM
asir-788	2	93	predator	predator	NOUN
asir-788	2	94	.	.	PUNCT
asir-788	3	1	linear	linear	ADJ
asir-788	3	2	predation	predation	NOUN
asir-788	3	3	functions	function	NOUN
asir-788	3	4	are	be	AUX
asir-788	3	5	considered	consider	VERB
asir-788	3	6	and	and	CCONJ
asir-788	3	7	preys	prey	NOUN
asir-788	3	8	are	be	AUX
asir-788	3	9	only	only	ADV
asir-788	3	10	considered	consider	VERB
asir-788	3	11	to	to	PART
asir-788	3	12	be	be	AUX
asir-788	3	13	harvested	harvest	VERB
asir-788	3	14	.	.	PUNCT
asir-788	4	1	the	the	DET
asir-788	4	2	stability	stability	NOUN
asir-788	4	3	of	of	ADP
asir-788	4	4	the	the	DET
asir-788	4	5	model	model	NOUN
asir-788	4	6	is	be	AUX
asir-788	4	7	analyzed	analyze	VERB
asir-788	4	8	theoretically	theoretically	ADV
asir-788	4	9	and	and	CCONJ
asir-788	4	10	numerically	numerically	ADV
asir-788	4	11	in	in	ADP
asir-788	4	12	this	this	DET
asir-788	4	13	paper	paper	NOUN
asir-788	4	14	.	.	PUNCT
asir-788	5	1	the	the	DET
asir-788	5	2	optimal	optimal	ADJ
asir-788	5	3	harvest	harvest	NOUN
asir-788	5	4	policy	policy	NOUN
asir-788	5	5	is	be	AUX
asir-788	5	6	studied	study	VERB
asir-788	5	7	and	and	CCONJ
asir-788	5	8	the	the	DET
asir-788	5	9	solution	solution	NOUN
asir-788	5	10	is	be	AUX
asir-788	5	11	derived	derive	VERB
asir-788	5	12	in	in	ADP
asir-788	5	13	the	the	DET
asir-788	5	14	interior	interior	ADJ
asir-788	5	15	equilibrium	equilibrium	NOUN
asir-788	5	16	case	case	NOUN
asir-788	5	17	using	use	VERB
asir-788	5	18	pontryagin	pontryagin	NOUN
asir-788	5	19	’s	’s	PART
asir-788	5	20	maximum	maximum	ADJ
asir-788	5	21	principle	principle	NOUN
asir-788	5	22	.	.	PUNCT
asir-788	6	1	finally	finally	ADV
asir-788	6	2	,	,	PUNCT
asir-788	6	3	some	some	DET
asir-788	6	4	numerical	numerical	ADJ
asir-788	6	5	simulations	simulation	NOUN
asir-788	6	6	are	be	AUX
asir-788	6	7	discussed	discuss	VERB
asir-788	6	8	.	.	PUNCT
asir-788	7	1	keywords	keyword	VERB
asir-788	7	2	mutualism	mutualism	NOUN
asir-788	7	3	,	,	PUNCT
asir-788	7	4	facultative	facultative	ADJ
asir-788	7	5	,	,	PUNCT
asir-788	7	6	obligate	obligate	NOUN
asir-788	7	7	,	,	PUNCT
asir-788	7	8	stability	stability	NOUN
asir-788	7	9	,	,	PUNCT
asir-788	7	10	optimal	optimal	ADJ
asir-788	7	11	equilibrium	equilibrium	NOUN
asir-788	7	12	1	1	NUM
asir-788	7	13	.	.	PUNCT
asir-788	8	1	introduction	introduction	NOUN
asir-788	8	2	mutualism	mutualism	NOUN
asir-788	8	3	is	be	AUX
asir-788	8	4	an	an	DET
asir-788	8	5	interaction	interaction	NOUN
asir-788	8	6	in	in	ADP
asir-788	8	7	which	which	PRON
asir-788	8	8	species	specie	NOUN
asir-788	8	9	help	help	VERB
asir-788	8	10	one	one	NOUN
asir-788	8	11	another	another	DET
asir-788	8	12	.	.	PUNCT
asir-788	9	1	janzen	janzen	PROPN
asir-788	9	2	(	(	PUNCT
asir-788	9	3	1985	1985	NUM
asir-788	9	4	)	)	PUNCT
asir-788	9	5	has	have	AUX
asir-788	9	6	argued	argue	VERB
asir-788	9	7	that	that	SCONJ
asir-788	9	8	most	most	ADJ
asir-788	9	9	of	of	ADP
asir-788	9	10	the	the	DET
asir-788	9	11	mutualisms	mutualism	NOUN
asir-788	9	12	can	can	AUX
asir-788	9	13	be	be	AUX
asir-788	9	14	classified	classify	VERB
asir-788	9	15	into	into	ADP
asir-788	9	16	one	one	NUM
asir-788	9	17	of	of	ADP
asir-788	9	18	the	the	DET
asir-788	9	19	four	four	NUM
asir-788	9	20	classes	class	NOUN
asir-788	9	21	:	:	PUNCT
asir-788	9	22	seed	seed	NOUN
asir-788	9	23	-	-	PUNCT
asir-788	9	24	dispersal	dispersal	NOUN
asir-788	9	25	mutualism	mutualism	NOUN
asir-788	9	26	,	,	PUNCT
asir-788	9	27	pollination	pollination	NOUN
asir-788	9	28	mutualisms	mutualism	NOUN
asir-788	9	29	,	,	PUNCT
asir-788	9	30	digestive	digestive	ADJ
asir-788	9	31	mutualisms	mutualism	NOUN
asir-788	9	32	,	,	PUNCT
asir-788	9	33	and	and	CCONJ
asir-788	9	34	protective	protective	ADJ
asir-788	9	35	mutualisms	mutualism	NOUN
asir-788	9	36	.	.	PUNCT
asir-788	10	1	in	in	ADP
asir-788	10	2	this	this	DET
asir-788	10	3	paper	paper	NOUN
asir-788	10	4	we	we	PRON
asir-788	10	5	are	be	AUX
asir-788	10	6	interested	interested	ADJ
asir-788	10	7	to	to	PART
asir-788	10	8	discuss	discuss	VERB
asir-788	10	9	the	the	DET
asir-788	10	10	protective	protective	ADJ
asir-788	10	11	mutualisms	mutualism	NOUN
asir-788	10	12	of	of	ADP
asir-788	10	13	fish	fish	NOUN
asir-788	10	14	species	specie	NOUN
asir-788	10	15	.	.	PUNCT
asir-788	11	1	this	this	DET
asir-788	11	2	type	type	NOUN
asir-788	11	3	of	of	ADP
asir-788	11	4	mutualisms	mutualism	NOUN
asir-788	11	5	may	may	AUX
asir-788	11	6	be	be	AUX
asir-788	11	7	facultative	facultative	ADJ
asir-788	11	8	mutualism	mutualism	NOUN
asir-788	11	9	or	or	CCONJ
asir-788	11	10	obligate	obligate	NOUN
asir-788	11	11	mutualism	mutualism	NOUN
asir-788	11	12	.	.	PUNCT
asir-788	12	1	in	in	ADP
asir-788	12	2	facultative	facultative	ADJ
asir-788	12	3	mutualism	mutualism	NOUN
asir-788	12	4	the	the	DET
asir-788	12	5	interaction	interaction	NOUN
asir-788	12	6	between	between	ADP
asir-788	12	7	the	the	DET
asir-788	12	8	species	specie	NOUN
asir-788	12	9	is	be	AUX
asir-788	12	10	helpful	helpful	ADJ
asir-788	12	11	but	but	CCONJ
asir-788	12	12	not	not	PART
asir-788	12	13	essential	essential	ADJ
asir-788	12	14	but	but	CCONJ
asir-788	12	15	in	in	ADP
asir-788	12	16	obligate	obligate	NOUN
asir-788	12	17	mutualism	mutualism	NOUN
asir-788	12	18	neither	neither	CCONJ
asir-788	12	19	mutualist	mutualist	ADJ
asir-788	12	20	can	can	AUX
asir-788	12	21	survive	survive	VERB
asir-788	12	22	without	without	ADP
asir-788	12	23	the	the	DET
asir-788	12	24	other	other	ADJ
asir-788	12	25	.	.	PUNCT
asir-788	13	1	many	many	ADJ
asir-788	13	2	fish	fish	NOUN
asir-788	13	3	species	specie	NOUN
asir-788	13	4	form	form	VERB
asir-788	13	5	protective	protective	ADJ
asir-788	13	6	mutualisms	mutualism	NOUN
asir-788	13	7	.	.	PUNCT
asir-788	14	1	a	a	DET
asir-788	14	2	particularly	particularly	ADV
asir-788	14	3	well	well	ADV
asir-788	14	4	-	-	PUNCT
asir-788	14	5	known	know	VERB
asir-788	14	6	example	example	NOUN
asir-788	14	7	involves	involve	VERB
asir-788	14	8	tropical	tropical	ADJ
asir-788	14	9	anemone	anemone	NOUN
asir-788	14	10	fishes	fish	NOUN
asir-788	14	11	,	,	PUNCT
asir-788	14	12	or	or	CCONJ
asir-788	14	13	clown	clown	VERB
asir-788	14	14	fishes	fish	NOUN
asir-788	14	15	,	,	PUNCT
asir-788	14	16	and	and	CCONJ
asir-788	14	17	their	their	PRON
asir-788	14	18	anemones	anemone	NOUN
asir-788	14	19	.	.	PUNCT
asir-788	15	1	clown	clown	NOUN
asir-788	15	2	fishes	fish	NOUN
asir-788	15	3	are	be	AUX
asir-788	15	4	immune	immune	ADJ
asir-788	15	5	to	to	ADP
asir-788	15	6	stinging	sting	VERB
asir-788	15	7	nematocysts	nematocyst	NOUN
asir-788	15	8	of	of	ADP
asir-788	15	9	giant	giant	ADJ
asir-788	15	10	sea	sea	NOUN
asir-788	15	11	anemones	anemone	NOUN
asir-788	15	12	and	and	CCONJ
asir-788	15	13	will	will	AUX
asir-788	15	14	and	and	CCONJ
asir-788	15	15	nest	nest	VERB
asir-788	15	16	amongst	amongst	ADP
asir-788	15	17	their	their	PRON
asir-788	15	18	tentacles	tentacle	NOUN
asir-788	15	19	.	.	PUNCT
asir-788	16	1	horse	horse	NOUN
asir-788	16	2	mackerels	mackerel	NOUN
asir-788	16	3	appear	appear	VERB
asir-788	16	4	to	to	PART
asir-788	16	5	have	have	VERB
asir-788	16	6	a	a	DET
asir-788	16	7	similar	similar	ADJ
asir-788	16	8	relationship	relationship	NOUN
asir-788	16	9	with	with	ADP
asir-788	16	10	portuguese	portuguese	ADJ
asir-788	16	11	man	man	NOUN
asir-788	16	12	-	-	PUNCT
asir-788	16	13	of	of	ADP
asir-788	16	14	war	war	NOUN
asir-788	16	15	jellyfish	jellyfish	NOUN
asir-788	16	16	.	.	PUNCT
asir-788	17	1	in	in	ADP
asir-788	17	2	recent	recent	ADJ
asir-788	17	3	past	past	ADJ
asir-788	17	4	many	many	ADJ
asir-788	17	5	works	work	NOUN
asir-788	17	6	on	on	ADP
asir-788	17	7	mutualism	mutualism	NOUN
asir-788	17	8	have	have	AUX
asir-788	17	9	done	do	VERB
asir-788	17	10	(	(	PUNCT
asir-788	17	11	lengeler	lengeler	NOUN
asir-788	17	12	et	et	PROPN
asir-788	17	13	al	al	PROPN
asir-788	17	14	.	.	PROPN
asir-788	17	15	,	,	PUNCT
asir-788	17	16	1999	1999	NUM
asir-788	17	17	;	;	PUNCT
asir-788	17	18	wallin	wallin	NOUN
asir-788	17	19	,	,	PUNCT
asir-788	17	20	1923	1923	NUM
asir-788	17	21	,	,	PUNCT
asir-788	17	22	1927	1927	NUM
asir-788	17	23	;	;	PUNCT
asir-788	17	24	margulis	marguli	NOUN
asir-788	17	25	,	,	PUNCT
asir-788	17	26	1970	1970	NUM
asir-788	17	27	,	,	PUNCT
asir-788	17	28	1981	1981	NUM
asir-788	17	29	)	)	PUNCT
asir-788	17	30	.	.	PUNCT
asir-788	18	1	those	those	PRON
asir-788	18	2	are	be	AUX
asir-788	18	3	not	not	PART
asir-788	18	4	harvesting	harvesting	NOUN
asir-788	18	5	models	model	NOUN
asir-788	18	6	.	.	PUNCT
asir-788	19	1	simultaneously	simultaneously	ADV
asir-788	19	2	,	,	PUNCT
asir-788	19	3	some	some	DET
asir-788	19	4	extraordinary	extraordinary	ADJ
asir-788	19	5	harvesting	harvesting	NOUN
asir-788	19	6	models	model	NOUN
asir-788	19	7	are	be	AUX
asir-788	19	8	studied	study	VERB
asir-788	19	9	by	by	ADP
asir-788	19	10	clark	clark	PROPN
asir-788	19	11	(	(	PUNCT
asir-788	19	12	1985	1985	NUM
asir-788	19	13	,	,	PUNCT
asir-788	19	14	1990	1990	NUM
asir-788	19	15	)	)	PUNCT
asir-788	19	16	and	and	CCONJ
asir-788	19	17	some	some	DET
asir-788	19	18	other	other	ADJ
asir-788	19	19	ecologists	ecologist	NOUN
asir-788	19	20	and	and	CCONJ
asir-788	19	21	scientists	scientist	NOUN
asir-788	19	22	(	(	PUNCT
asir-788	19	23	mesteron	mesteron	NOUN
asir-788	19	24	-	-	PUNCT
asir-788	19	25	gibbons	gibbon	NOUN
asir-788	19	26	,	,	PUNCT
asir-788	19	27	1998	1998	NUM
asir-788	19	28	;	;	PUNCT
asir-788	19	29	kot	kot	PROPN
asir-788	19	30	,	,	PUNCT
asir-788	19	31	2001	2001	NUM
asir-788	19	32	;	;	PUNCT
asir-788	19	33	kar	kar	PROPN
asir-788	19	34	&	&	CCONJ
asir-788	19	35	chaudhuri	chaudhuri	PROPN
asir-788	19	36	,	,	PUNCT
asir-788	19	37	2004	2004	NUM
asir-788	19	38	;	;	PUNCT
asir-788	19	39	strobele	strobele	PROPN
asir-788	19	40	&	&	CCONJ
asir-788	19	41	wacker	wacker	PROPN
asir-788	19	42	,	,	PUNCT
asir-788	19	43	1995	1995	NUM
asir-788	19	44	;	;	PUNCT
asir-788	19	45	dai	dai	PROPN
asir-788	19	46	&	&	CCONJ
asir-788	19	47	tang	tang	PROPN
asir-788	19	48	,	,	PUNCT
asir-788	19	49	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	VERB
asir-788	19	50	applied	apply	VERB
asir-788	19	51	science	science	NOUN
asir-788	19	52	and	and	CCONJ
asir-788	19	53	innovative	innovative	ADJ
asir-788	19	54	research	research	NOUN
asir-788	19	55	vol	vol	NOUN
asir-788	19	56	.	.	PROPN
asir-788	20	1	1	1	NUM
asir-788	20	2	,	,	PUNCT
asir-788	20	3	no	no	INTJ
asir-788	20	4	.	.	NOUN
asir-788	20	5	1	1	NUM
asir-788	20	6	,	,	PUNCT
asir-788	20	7	2017	2017	NUM
asir-788	20	8	2	2	NUM
asir-788	20	9	published	publish	VERB
asir-788	20	10	by	by	ADP
asir-788	20	11	scholink	scholink	PROPN
asir-788	20	12	inc	inc	PROPN
asir-788	20	13	.	.	PROPN
asir-788	20	14	1998	1998	NUM
asir-788	20	15	)	)	PUNCT
asir-788	21	1	also	also	ADV
asir-788	21	2	studied	study	VERB
asir-788	21	3	the	the	DET
asir-788	21	4	management	management	NOUN
asir-788	21	5	and	and	CCONJ
asir-788	21	6	behaviour	behaviour	VERB
asir-788	21	7	dynamic	dynamic	ADJ
asir-788	21	8	harvesting	harvesting	NOUN
asir-788	21	9	models	model	NOUN
asir-788	21	10	.	.	PUNCT
asir-788	22	1	mark	mark	PROPN
asir-788	22	2	kot	kot	PROPN
asir-788	22	3	(	(	PUNCT
asir-788	22	4	2001	2001	NUM
asir-788	22	5	)	)	PUNCT
asir-788	22	6	discussed	discuss	VERB
asir-788	22	7	a	a	DET
asir-788	22	8	two	two	NUM
asir-788	22	9	species	specie	NOUN
asir-788	22	10	protective	protective	ADJ
asir-788	22	11	mutualism	mutualism	NOUN
asir-788	22	12	model	model	NOUN
asir-788	22	13	.	.	PUNCT
asir-788	23	1	in	in	ADP
asir-788	23	2	which	which	PRON
asir-788	23	3	there	there	PRON
asir-788	23	4	are	be	VERB
asir-788	23	5	two	two	NUM
asir-788	23	6	species	specie	NOUN
asir-788	23	7	with	with	ADP
asir-788	23	8	population	population	NOUN
asir-788	23	9	sizes	size	VERB
asir-788	23	10	1n	1n	NUM
asir-788	23	11	and	and	CCONJ
asir-788	23	12	2n	2n	NUM
asir-788	23	13	,	,	PUNCT
asir-788	23	14	and	and	CCONJ
asir-788	23	15	each	each	DET
asir-788	23	16	species	specie	NOUN
asir-788	23	17	grows	grow	VERB
asir-788	23	18	logistically	logistically	ADV
asir-788	23	19	in	in	ADP
asir-788	23	20	the	the	DET
asir-788	23	21	absence	absence	NOUN
asir-788	23	22	of	of	ADP
asir-788	23	23	other	other	ADJ
asir-788	23	24	.	.	PUNCT
asir-788	24	1	the	the	DET
asir-788	24	2	model	model	NOUN
asir-788	24	3	is	be	AUX
asir-788	24	4	)	)	PUNCT
asir-788	24	5	1	1	NUM
asir-788	24	6	(	(	PUNCT
asir-788	24	7	1	1	NUM
asir-788	24	8	2121	2121	NUM
asir-788	24	9	11	11	NUM
asir-788	24	10	1	1	NUM
asir-788	24	11	k	k	PROPN
asir-788	24	12	nn	nn	PROPN
asir-788	24	13	nr	nr	ADV
asir-788	24	14	dt	dt	NOUN
asir-788	24	15	dn	dn	INTJ
asir-788	24	16			PUNCT
asir-788	24	17			ADJ
asir-788	24	18	(	(	PUNCT
asir-788	24	19	1	1	NUM
asir-788	24	20	)	)	PUNCT
asir-788	24	21	)	)	PUNCT
asir-788	25	1	1	1	NUM
asir-788	25	2	(	(	PUNCT
asir-788	25	3	2	2	NUM
asir-788	25	4	1212	1212	NUM
asir-788	25	5	22	22	NUM
asir-788	25	6	2	2	NUM
asir-788	25	7	k	k	PROPN
asir-788	25	8	nn	nn	PROPN
asir-788	25	9	nr	nr	ADV
asir-788	25	10	dt	dt	NOUN
asir-788	25	11	dn	dn	INTJ
asir-788	25	12			PUNCT
asir-788	25	13			ADJ
asir-788	25	14	(	(	PUNCT
asir-788	25	15	2	2	NUM
asir-788	25	16	)	)	PUNCT
asir-788	25	17	where	where	SCONJ
asir-788	25	18	12	12	NUM
asir-788	25	19	and	and	CCONJ
asir-788	25	20	21	21	NUM
asir-788	25	21	are	be	AUX
asir-788	25	22	the	the	DET
asir-788	25	23	measures	measure	NOUN
asir-788	25	24	of	of	ADP
asir-788	25	25	the	the	DET
asir-788	25	26	strength	strength	NOUN
asir-788	25	27	of	of	ADP
asir-788	25	28	positive	positive	ADJ
asir-788	25	29	effect	effect	NOUN
asir-788	25	30	of	of	ADP
asir-788	25	31	species	specie	NOUN
asir-788	25	32	2	2	NUM
asir-788	25	33	on	on	ADP
asir-788	25	34	the	the	DET
asir-788	25	35	species	specie	NOUN
asir-788	25	36	1	1	NUM
asir-788	25	37	and	and	CCONJ
asir-788	25	38	of	of	ADP
asir-788	25	39	species	specie	NOUN
asir-788	25	40	1	1	NUM
asir-788	25	41	on	on	ADP
asir-788	25	42	species	specie	NOUN
asir-788	25	43	2	2	NUM
asir-788	25	44	.	.	PUNCT
asir-788	26	1	this	this	DET
asir-788	26	2	model	model	NOUN
asir-788	26	3	is	be	AUX
asir-788	26	4	for	for	ADP
asir-788	26	5	facultative	facultative	ADJ
asir-788	26	6	mutualism	mutualism	NOUN
asir-788	26	7	so	so	ADV
asir-788	26	8	far	far	ADV
asir-788	26	9	2121	2121	NUM
asir-788	26	10	,	,	PUNCT
asir-788	26	11	,	,	PUNCT
asir-788	26	12	,	,	PUNCT
asir-788	26	13	kkrr	kkrr	PROPN
asir-788	26	14	are	be	AUX
asir-788	26	15	all	all	ADV
asir-788	26	16	positive	positive	ADJ
asir-788	26	17	.	.	PUNCT
asir-788	27	1	that	that	PRON
asir-788	27	2	is	be	AUX
asir-788	27	3	each	each	DET
asir-788	27	4	species	specie	NOUN
asir-788	27	5	can	can	AUX
asir-788	27	6	,	,	PUNCT
asir-788	27	7	in	in	ADP
asir-788	27	8	other	other	ADJ
asir-788	27	9	words	word	NOUN
asir-788	27	10	,	,	PUNCT
asir-788	27	11	survive	survive	VERB
asir-788	27	12	without	without	ADP
asir-788	27	13	its	its	PRON
asir-788	27	14	mutualist	mutualist	NOUN
asir-788	27	15	.	.	PUNCT
asir-788	28	1	the	the	DET
asir-788	28	2	species	specie	NOUN
asir-788	28	3	may	may	AUX
asir-788	28	4	surpass	surpass	VERB
asir-788	28	5	their	their	PRON
asir-788	28	6	carrying	carrying	NOUN
asir-788	28	7	capacity	capacity	NOUN
asir-788	28	8	or	or	CCONJ
asir-788	28	9	may	may	AUX
asir-788	28	10	undergo	undergo	VERB
asir-788	28	11	unlimited	unlimited	ADJ
asir-788	28	12	growth	growth	NOUN
asir-788	28	13	what	what	PRON
asir-788	28	14	has	have	AUX
asir-788	28	15	been	be	AUX
asir-788	28	16	called	call	VERB
asir-788	28	17	“	"	PUNCT
asir-788	28	18	an	an	DET
asir-788	28	19	orgy	orgy	NOUN
asir-788	28	20	of	of	ADP
asir-788	28	21	mutual	mutual	ADJ
asir-788	28	22	benefaction	benefaction	NOUN
asir-788	28	23	”	"	PUNCT
asir-788	28	24	(	(	PUNCT
asir-788	28	25	may	may	AUX
asir-788	28	26	,	,	PUNCT
asir-788	28	27	1981	1981	NUM
asir-788	28	28	)	)	PUNCT
asir-788	28	29	depending	depend	VERB
asir-788	28	30	upon	upon	SCONJ
asir-788	28	31	the	the	DET
asir-788	28	32	values	value	NOUN
asir-788	28	33	of	of	ADP
asir-788	28	34	the	the	DET
asir-788	28	35	strength	strength	NOUN
asir-788	28	36	of	of	ADP
asir-788	28	37	one	one	NUM
asir-788	28	38	species	specie	NOUN
asir-788	28	39	on	on	ADP
asir-788	28	40	another	another	PRON
asir-788	28	41	.	.	PUNCT
asir-788	29	1	the	the	DET
asir-788	29	2	equations	equation	NOUN
asir-788	29	3	(	(	PUNCT
asir-788	29	4	1	1	NUM
asir-788	29	5	)	)	PUNCT
asir-788	29	6	and	and	CCONJ
asir-788	29	7	(	(	PUNCT
asir-788	29	8	2	2	X
asir-788	29	9	)	)	PUNCT
asir-788	29	10	may	may	AUX
asir-788	29	11	be	be	AUX
asir-788	29	12	used	use	VERB
asir-788	29	13	for	for	ADP
asir-788	29	14	obligate	obligate	NOUN
asir-788	29	15	mutualism	mutualism	NOUN
asir-788	29	16	if	if	SCONJ
asir-788	29	17	we	we	PRON
asir-788	29	18	take	take	VERB
asir-788	29	19	2121	2121	NUM
asir-788	29	20	,	,	PUNCT
asir-788	29	21	,	,	PUNCT
asir-788	29	22	,	,	PUNCT
asir-788	29	23	kkrr	kkrr	PROPN
asir-788	29	24	all	all	PRON
asir-788	29	25	negative	negative	ADJ
asir-788	29	26	.	.	PUNCT
asir-788	30	1	in	in	ADP
asir-788	30	2	this	this	DET
asir-788	30	3	case	case	NOUN
asir-788	30	4	neither	neither	DET
asir-788	30	5	species	specie	NOUN
asir-788	30	6	can	can	AUX
asir-788	30	7	survive	survive	VERB
asir-788	30	8	on	on	ADP
asir-788	30	9	its	its	PRON
asir-788	30	10	own	own	ADJ
asir-788	30	11	;	;	PUNCT
asir-788	30	12	each	each	DET
asir-788	30	13	species	specie	NOUN
asir-788	30	14	is	be	AUX
asir-788	30	15	banking	bank	VERB
asir-788	30	16	on	on	ADP
asir-788	30	17	the	the	DET
asir-788	30	18	other	other	ADJ
asir-788	30	19	to	to	PART
asir-788	30	20	save	save	VERB
asir-788	30	21	it	it	PRON
asir-788	30	22	.	.	PUNCT
asir-788	31	1	the	the	DET
asir-788	31	2	facultative	facultative	ADJ
asir-788	31	3	models	model	NOUN
asir-788	31	4	are	be	AUX
asir-788	31	5	generally	generally	ADV
asir-788	31	6	more	more	ADV
asir-788	31	7	stable	stable	ADJ
asir-788	31	8	than	than	ADP
asir-788	31	9	obligate	obligate	NOUN
asir-788	31	10	models	model	NOUN
asir-788	31	11	.	.	PUNCT
asir-788	32	1	we	we	PRON
asir-788	32	2	state	state	VERB
asir-788	32	3	the	the	DET
asir-788	32	4	definition	definition	NOUN
asir-788	32	5	of	of	ADP
asir-788	32	6	facultative	facultative	ADJ
asir-788	32	7	or	or	CCONJ
asir-788	32	8	co	co	ADJ
asir-788	32	9	-	-	ADJ
asir-788	32	10	operative	operative	ADJ
asir-788	32	11	models	model	NOUN
asir-788	32	12	.	.	PUNCT
asir-788	33	1	definition	definition	NOUN
asir-788	33	2	1.1	1.1	NUM
asir-788	33	3	:	:	PUNCT
asir-788	33	4	the	the	DET
asir-788	33	5	system	system	NOUN
asir-788	33	6	)	)	PUNCT
asir-788	33	7	,	,	PUNCT
asir-788	33	8	(	(	PUNCT
asir-788	33	9	21	21	NUM
asir-788	33	10	1	1	NUM
asir-788	33	11	nnf	nnf	NOUN
asir-788	33	12	dt	dt	NOUN
asir-788	33	13	dn	dn	ADP
asir-788	33	14			NUM
asir-788	33	15	)	)	PUNCT
asir-788	33	16	,	,	PUNCT
asir-788	33	17	(	(	PUNCT
asir-788	33	18	21	21	NUM
asir-788	33	19	2	2	NUM
asir-788	33	20	nng	nng	PROPN
asir-788	33	21	dt	dt	NOUN
asir-788	33	22	dn	dn	PROPN
asir-788	33	23			PROPN
asir-788	33	24	defined	define	VERB
asir-788	33	25	on	on	ADP
asir-788	33	26	d	d	PROPN
asir-788	33	27	2r	2r	NUM
asir-788	33	28	is	be	AUX
asir-788	33	29	co	co	ADJ
asir-788	33	30	-	-	ADJ
asir-788	33	31	operative	operative	ADJ
asir-788	33	32	if	if	SCONJ
asir-788	33	33	0,0	0,0	NUM
asir-788	33	34	12	12	NUM
asir-788	33	35			NUM
asir-788	33	36			ADJ
asir-788	33	37			PROPN
asir-788	33	38			PROPN
asir-788	33	39			PROPN
asir-788	33	40			PROPN
asir-788	33	41	n	n	CCONJ
asir-788	33	42	g	g	PROPN
asir-788	33	43	n	n	CCONJ
asir-788	33	44	f	f	PROPN
asir-788	33	45	for	for	ADP
asir-788	33	46	all	all	DET
asir-788	33	47	dnn	dnn	PROPN
asir-788	33	48			NOUN
asir-788	33	49	)	)	PUNCT
asir-788	33	50	,	,	PUNCT
asir-788	33	51	(	(	PUNCT
asir-788	33	52	21	21	NUM
asir-788	33	53	.	.	PUNCT
asir-788	34	1	in	in	ADP
asir-788	34	2	this	this	DET
asir-788	34	3	paper	paper	NOUN
asir-788	34	4	,	,	PUNCT
asir-788	34	5	we	we	PRON
asir-788	34	6	study	study	VERB
asir-788	34	7	the	the	DET
asir-788	34	8	problem	problem	NOUN
asir-788	34	9	of	of	ADP
asir-788	34	10	harvesting	harvest	VERB
asir-788	34	11	two	two	NUM
asir-788	34	12	facultative	facultative	ADJ
asir-788	34	13	species	specie	NOUN
asir-788	34	14	in	in	ADP
asir-788	34	15	the	the	DET
asir-788	34	16	presence	presence	NOUN
asir-788	34	17	of	of	ADP
asir-788	34	18	a	a	DET
asir-788	34	19	predator	predator	NOUN
asir-788	34	20	species	specie	NOUN
asir-788	34	21	which	which	PRON
asir-788	34	22	feeds	feed	VERB
asir-788	34	23	on	on	ADP
asir-788	34	24	both	both	CCONJ
asir-788	34	25	the	the	DET
asir-788	34	26	facultative	facultative	ADJ
asir-788	34	27	prey	prey	PROPN
asir-788	34	28	species	species	PROPN
asir-788	34	29	.	.	PUNCT
asir-788	35	1	the	the	DET
asir-788	35	2	predator	predator	NOUN
asir-788	35	3	species	species	NOUN
asir-788	35	4	is	be	AUX
asir-788	35	5	not	not	PART
asir-788	35	6	harvested	harvest	VERB
asir-788	35	7	.	.	PUNCT
asir-788	36	1	the	the	DET
asir-788	36	2	problem	problem	NOUN
asir-788	36	3	is	be	AUX
asir-788	36	4	clearly	clearly	ADV
asir-788	36	5	stated	state	VERB
asir-788	36	6	in	in	ADP
asir-788	36	7	the	the	DET
asir-788	36	8	section	section	NOUN
asir-788	36	9	2	2	NUM
asir-788	36	10	.	.	PUNCT
asir-788	37	1	we	we	PRON
asir-788	37	2	have	have	AUX
asir-788	37	3	examined	examine	VERB
asir-788	37	4	the	the	DET
asir-788	37	5	equilibrium	equilibrium	NOUN
asir-788	37	6	of	of	ADP
asir-788	37	7	the	the	DET
asir-788	37	8	system	system	NOUN
asir-788	37	9	and	and	CCONJ
asir-788	37	10	the	the	DET
asir-788	37	11	conditions	condition	NOUN
asir-788	37	12	of	of	ADP
asir-788	37	13	their	their	PRON
asir-788	37	14	existence	existence	NOUN
asir-788	37	15	in	in	ADP
asir-788	37	16	section	section	NOUN
asir-788	37	17	3	3	NUM
asir-788	37	18	.	.	PUNCT
asir-788	38	1	the	the	DET
asir-788	38	2	local	local	ADJ
asir-788	38	3	stability	stability	NOUN
asir-788	38	4	of	of	ADP
asir-788	38	5	the	the	DET
asir-788	38	6	steady	steady	ADJ
asir-788	38	7	state	state	NOUN
asir-788	38	8	solutions	solution	NOUN
asir-788	38	9	is	be	AUX
asir-788	38	10	examined	examine	VERB
asir-788	38	11	in	in	ADP
asir-788	38	12	section	section	NOUN
asir-788	38	13	4	4	NUM
asir-788	38	14	.	.	PUNCT
asir-788	39	1	we	we	PRON
asir-788	39	2	derive	derive	VERB
asir-788	39	3	an	an	DET
asir-788	39	4	optimal	optimal	ADJ
asir-788	39	5	harvesting	harvesting	NOUN
asir-788	39	6	policy	policy	NOUN
asir-788	39	7	in	in	ADP
asir-788	39	8	section	section	NOUN
asir-788	39	9	5	5	NUM
asir-788	39	10	.	.	PUNCT
asir-788	40	1	numerical	numerical	ADJ
asir-788	40	2	examples	example	NOUN
asir-788	40	3	are	be	AUX
asir-788	40	4	discussed	discuss	VERB
asir-788	40	5	in	in	ADP
asir-788	40	6	section6	section6	NOUN
asir-788	40	7	.	.	PUNCT
asir-788	41	1	the	the	DET
asir-788	41	2	paper	paper	NOUN
asir-788	41	3	ends	end	VERB
asir-788	41	4	with	with	ADP
asir-788	41	5	a	a	DET
asir-788	41	6	brief	brief	ADJ
asir-788	41	7	conclusion	conclusion	NOUN
asir-788	41	8	in	in	ADP
asir-788	41	9	section	section	NOUN
asir-788	41	10	7	7	NUM
asir-788	41	11	.	.	NOUN
asir-788	41	12	2	2	NUM
asir-788	41	13	.	.	X
asir-788	41	14	formulation	formulation	NOUN
asir-788	41	15	of	of	ADP
asir-788	41	16	the	the	DET
asir-788	41	17	model	model	NOUN
asir-788	41	18	the	the	DET
asir-788	41	19	governing	govern	VERB
asir-788	41	20	equations	equation	NOUN
asir-788	41	21	of	of	ADP
asir-788	41	22	our	our	PRON
asir-788	41	23	model	model	NOUN
asir-788	41	24	are	be	AUX
asir-788	41	25	,	,	PUNCT
asir-788	41	26	111311	111311	NUM
asir-788	41	27	1	1	NUM
asir-788	41	28	2121	2121	NUM
asir-788	41	29	11	11	NUM
asir-788	41	30	1	1	NUM
asir-788	41	31	)	)	SYM
asir-788	41	32	1	1	NUM
asir-788	41	33	(	(	PUNCT
asir-788	41	34	neqnna	neqnna	NOUN
asir-788	41	35	k	k	PROPN
asir-788	41	36	nn	nn	PROPN
asir-788	41	37	nr	nr	PROPN
asir-788	41	38	dt	dt	NOUN
asir-788	41	39	dn	dn	ADP
asir-788	41	40			NOUN
asir-788	41	41			X
asir-788	41	42			ADJ
asir-788	41	43			NOUN
asir-788	41	44	(	(	PUNCT
asir-788	41	45	3	3	NUM
asir-788	41	46	)	)	PUNCT
asir-788	41	47	222322	222322	NUM
asir-788	41	48	2	2	NUM
asir-788	41	49	1212	1212	NUM
asir-788	41	50	22	22	NUM
asir-788	41	51	2	2	NUM
asir-788	41	52	)	)	PUNCT
asir-788	41	53	1	1	NUM
asir-788	41	54	(	(	PUNCT
asir-788	41	55	neqnna	neqnna	NOUN
asir-788	41	56	k	k	PROPN
asir-788	41	57	nn	nn	PROPN
asir-788	41	58	nr	nr	PROPN
asir-788	41	59	dt	dt	NOUN
asir-788	41	60	dn	dn	ADP
asir-788	41	61			NOUN
asir-788	41	62			X
asir-788	41	63			ADJ
asir-788	41	64			NOUN
asir-788	41	65	(	(	PUNCT
asir-788	41	66	4	4	NUM
asir-788	41	67	)	)	PUNCT
asir-788	41	68	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-788	41	69	applied	apply	VERB
asir-788	41	70	science	science	NOUN
asir-788	41	71	and	and	CCONJ
asir-788	41	72	innovative	innovative	ADJ
asir-788	41	73	research	research	NOUN
asir-788	41	74	vol	vol	NOUN
asir-788	41	75	.	.	PROPN
asir-788	42	1	1	1	NUM
asir-788	42	2	,	,	PUNCT
asir-788	42	3	no	no	INTJ
asir-788	42	4	.	.	NOUN
asir-788	42	5	1	1	NUM
asir-788	42	6	,	,	PUNCT
asir-788	42	7	2017	2017	NUM
asir-788	42	8	3	3	NUM
asir-788	42	9	published	publish	VERB
asir-788	42	10	by	by	ADP
asir-788	42	11	scholink	scholink	PROPN
asir-788	42	12	inc	inc	PROPN
asir-788	42	13	.	.	PROPN
asir-788	42	14	332223111	332223111	NUM
asir-788	42	15	3	3	NUM
asir-788	42	16	dnnnanna	dnnnanna	NOUN
asir-788	42	17	dt	dt	NOUN
asir-788	42	18	dn	dn	NOUN
asir-788	42	19			PRON
asir-788	42	20			VERB
asir-788	42	21	(	(	PUNCT
asir-788	42	22	5	5	NUM
asir-788	42	23	)	)	PUNCT
asir-788	42	24	where	where	SCONJ
asir-788	42	25	21	21	NUM
asir-788	42	26	,	,	PUNCT
asir-788	42	27	nn	nn	X
asir-788	42	28	are	be	AUX
asir-788	42	29	population	population	NOUN
asir-788	42	30	sizes	size	NOUN
asir-788	42	31	of	of	ADP
asir-788	42	32	the	the	DET
asir-788	42	33	prey	prey	NOUN
asir-788	42	34	species	specie	NOUN
asir-788	42	35	and	and	CCONJ
asir-788	42	36	3n	3n	NUM
asir-788	42	37	the	the	DET
asir-788	42	38	population	population	NOUN
asir-788	42	39	size	size	NOUN
asir-788	42	40	of	of	ADP
asir-788	42	41	the	the	DET
asir-788	42	42	predator	predator	NOUN
asir-788	42	43	at	at	ADP
asir-788	42	44	any	any	DET
asir-788	42	45	time	time	NOUN
asir-788	42	46	t.	t.	PROPN
asir-788	42	47	here	here	ADV
asir-788	42	48	,	,	PUNCT
asir-788	42	49	)	)	PUNCT
asir-788	43	1	0(),0	0(),0	PROPN
asir-788	43	2	(	(	PUNCT
asir-788	43	3	21	21	NUM
asir-788	43	4			PROPN
asir-788	43	5	rr	rr	PROPN
asir-788	43	6	are	be	AUX
asir-788	43	7	intrinsic	intrinsic	ADJ
asir-788	43	8	growth	growth	NOUN
asir-788	43	9	rate	rate	NOUN
asir-788	43	10	of	of	ADP
asir-788	43	11	the	the	DET
asir-788	43	12	first	first	ADJ
asir-788	43	13	two	two	NUM
asir-788	43	14	species	specie	NOUN
asir-788	43	15	.	.	PUNCT
asir-788	44	1	since	since	SCONJ
asir-788	44	2	we	we	PRON
asir-788	44	3	are	be	AUX
asir-788	44	4	not	not	PART
asir-788	44	5	making	make	VERB
asir-788	44	6	a	a	DET
asir-788	44	7	case	case	NOUN
asir-788	44	8	study	study	NOUN
asir-788	44	9	in	in	ADP
asir-788	44	10	respect	respect	NOUN
asir-788	44	11	of	of	ADP
asir-788	44	12	a	a	DET
asir-788	44	13	specific	specific	ADJ
asir-788	44	14	prey	prey	NOUN
asir-788	44	15	-	-	PUNCT
asir-788	44	16	predator	predator	NOUN
asir-788	44	17	community	community	NOUN
asir-788	44	18	,	,	PUNCT
asir-788	44	19	we	we	PRON
asir-788	44	20	have	have	AUX
asir-788	44	21	opted	opt	VERB
asir-788	44	22	logistic	logistic	ADJ
asir-788	44	23	growth	growth	NOUN
asir-788	44	24	rate	rate	NOUN
asir-788	44	25	.	.	PUNCT
asir-788	45	1	the	the	DET
asir-788	45	2	parameters	parameter	NOUN
asir-788	45	3	)	)	PUNCT
asir-788	45	4	0(),0	0(),0	PROPN
asir-788	45	5	(	(	PUNCT
asir-788	45	6	21	21	NUM
asir-788	45	7			NOUN
asir-788	45	8	kk	kk	PROPN
asir-788	45	9	are	be	AUX
asir-788	45	10	carrying	carry	VERB
asir-788	45	11	capacities	capacity	NOUN
asir-788	45	12	of	of	ADP
asir-788	45	13	first	first	ADJ
asir-788	45	14	two	two	NUM
asir-788	45	15	species	specie	NOUN
asir-788	45	16	;	;	PUNCT
asir-788	45	17	21	21	NUM
asir-788	45	18	,	,	PUNCT
asir-788	45	19	aa	aa	INTJ
asir-788	45	20	,	,	PUNCT
asir-788	45	21	both	both	CCONJ
asir-788	45	22	positive	positive	ADJ
asir-788	45	23	,	,	PUNCT
asir-788	45	24	are	be	AUX
asir-788	45	25	predation	predation	NOUN
asir-788	45	26	rates	rate	NOUN
asir-788	45	27	on	on	ADP
asir-788	45	28	which	which	PRON
asir-788	45	29	the	the	DET
asir-788	45	30	third	third	ADJ
asir-788	45	31	species	species	NOUN
asir-788	45	32	feeds	feed	VERB
asir-788	45	33	on	on	ADP
asir-788	45	34	the	the	DET
asir-788	45	35	first	first	ADJ
asir-788	45	36	two	two	NUM
asir-788	45	37	species	specie	NOUN
asir-788	45	38	respectively	respectively	ADV
asir-788	45	39	;	;	PUNCT
asir-788	45	40	21	21	NUM
asir-788	45	41	,	,	PUNCT
asir-788	45	42	ee	ee	PROPN
asir-788	45	43	are	be	AUX
asir-788	45	44	the	the	DET
asir-788	45	45	harvesting	harvesting	NOUN
asir-788	45	46	efforts	effort	NOUN
asir-788	45	47	given	give	VERB
asir-788	45	48	on	on	ADP
asir-788	45	49	the	the	DET
asir-788	45	50	first	first	ADJ
asir-788	45	51	two	two	NUM
asir-788	45	52	species	specie	NOUN
asir-788	45	53	,	,	PUNCT
asir-788	45	54	the	the	DET
asir-788	45	55	third	third	ADJ
asir-788	45	56	species	species	NOUN
asir-788	45	57	is	be	AUX
asir-788	45	58	not	not	PART
asir-788	45	59	harvested	harvest	VERB
asir-788	45	60	;	;	PUNCT
asir-788	45	61	21	21	NUM
asir-788	45	62	,	,	PUNCT
asir-788	45	63	qq	qq	INTJ
asir-788	45	64	(	(	PUNCT
asir-788	45	65	both	both	PRON
asir-788	45	66	positive	positive	ADJ
asir-788	45	67	)	)	PUNCT
asir-788	45	68	are	be	AUX
asir-788	45	69	catchability	catchability	NOUN
asir-788	45	70	co	co	NOUN
asir-788	45	71	-	-	NOUN
asir-788	45	72	efficients	efficient	NOUN
asir-788	45	73	of	of	ADP
asir-788	45	74	21,nn	21,nn	NUM
asir-788	45	75	respectively	respectively	ADV
asir-788	45	76	.	.	PUNCT
asir-788	46	1	the	the	DET
asir-788	46	2	catch	catch	NOUN
asir-788	46	3	rate	rate	NOUN
asir-788	46	4	functions	function	NOUN
asir-788	46	5	111	111	NUM
asir-788	46	6	neq	neq	NOUN
asir-788	46	7	and	and	CCONJ
asir-788	46	8	222	222	NUM
asir-788	46	9	neq	neq	NOUN
asir-788	46	10	are	be	AUX
asir-788	46	11	based	base	VERB
asir-788	46	12	on	on	ADP
asir-788	46	13	cpue	cpue	NOUN
asir-788	46	14	(	(	PUNCT
asir-788	46	15	catch	catch	NOUN
asir-788	46	16	per	per	ADP
asir-788	46	17	unit	unit	NOUN
asir-788	46	18	effort	effort	NOUN
asir-788	46	19	)	)	PUNCT
asir-788	46	20	hypothesis	hypothesis	NOUN
asir-788	46	21	.	.	PUNCT
asir-788	47	1	the	the	DET
asir-788	47	2	parameters	parameter	NOUN
asir-788	47	3	)	)	PUNCT
asir-788	47	4	0(),0	0(),0	PROPN
asir-788	47	5	(	(	PUNCT
asir-788	47	6	21	21	NUM
asir-788	47	7			NOUN
asir-788	47	8			NOUN
asir-788	47	9	are	be	AUX
asir-788	47	10	known	know	VERB
asir-788	47	11	as	as	ADP
asir-788	47	12	conversion	conversion	NOUN
asir-788	47	13	factors	factor	NOUN
asir-788	47	14	and	and	CCONJ
asir-788	47	15	d	d	NOUN
asir-788	47	16	is	be	AUX
asir-788	47	17	the	the	DET
asir-788	47	18	mortality	mortality	NOUN
asir-788	47	19	rate	rate	NOUN
asir-788	47	20	of	of	ADP
asir-788	47	21	predator	predator	NOUN
asir-788	47	22	species	specie	NOUN
asir-788	47	23	.	.	PUNCT
asir-788	48	1	here	here	ADV
asir-788	48	2	12	12	NUM
asir-788	48	3	measures	measure	VERB
asir-788	48	4	the	the	DET
asir-788	48	5	strength	strength	NOUN
asir-788	48	6	of	of	ADP
asir-788	48	7	the	the	DET
asir-788	48	8	positive	positive	ADJ
asir-788	48	9	effect	effect	NOUN
asir-788	48	10	of	of	ADP
asir-788	48	11	the	the	DET
asir-788	48	12	species	specie	NOUN
asir-788	48	13	2n	2n	NUM
asir-788	48	14	on	on	ADP
asir-788	48	15	the	the	DET
asir-788	48	16	species	specie	NOUN
asir-788	48	17	1n	1n	NUM
asir-788	48	18	and	and	CCONJ
asir-788	48	19	21	21	NUM
asir-788	48	20	measures	measure	VERB
asir-788	48	21	the	the	DET
asir-788	48	22	strength	strength	NOUN
asir-788	48	23	of	of	ADP
asir-788	48	24	the	the	DET
asir-788	48	25	positive	positive	ADJ
asir-788	48	26	effect	effect	NOUN
asir-788	48	27	of	of	ADP
asir-788	48	28	the	the	DET
asir-788	48	29	species	specie	NOUN
asir-788	48	30	1n	1n	NUM
asir-788	48	31	on	on	ADP
asir-788	48	32	the	the	DET
asir-788	48	33	species	specie	NOUN
asir-788	48	34	2n	2n	NUM
asir-788	48	35	.	.	PUNCT
asir-788	49	1	considering	consider	VERB
asir-788	49	2	the	the	DET
asir-788	49	3	definition	definition	NOUN
asir-788	49	4	(	(	PUNCT
asir-788	49	5	1.1	1.1	NUM
asir-788	49	6	)	)	PUNCT
asir-788	49	7	we	we	PRON
asir-788	49	8	see	see	VERB
asir-788	49	9	that	that	SCONJ
asir-788	49	10	in	in	ADP
asir-788	49	11	absence	absence	NOUN
asir-788	49	12	of	of	ADP
asir-788	49	13	predator	predator	NOUN
asir-788	49	14	02	02	NUM
asir-788	49	15	1	1	NUM
asir-788	49	16	121	121	NUM
asir-788	49	17	2	2	NUM
asir-788	49	18			VERB
asir-788	49	19			ADJ
asir-788	49	20			PROPN
asir-788	49	21	n	n	CCONJ
asir-788	49	22	k	k	PROPN
asir-788	49	23	r	r	NOUN
asir-788	49	24	n	n	NOUN
asir-788	49	25	f	f	NOUN
asir-788	49	26			NOUN
asir-788	49	27	,	,	PUNCT
asir-788	49	28	and	and	CCONJ
asir-788	49	29	01	01	NUM
asir-788	49	30	2	2	NUM
asir-788	49	31	212	212	NUM
asir-788	49	32	1	1	NUM
asir-788	49	33			VERB
asir-788	49	34			ADJ
asir-788	49	35			PROPN
asir-788	49	36	n	n	CCONJ
asir-788	49	37	k	k	NOUN
asir-788	49	38	r	r	NOUN
asir-788	49	39	n	n	CCONJ
asir-788	49	40	g	g	NOUN
asir-788	49	41			NOUN
asir-788	49	42	.	.	PUNCT
asir-788	50	1	thus	thus	ADV
asir-788	50	2	our	our	PRON
asir-788	50	3	model	model	NOUN
asir-788	50	4	is	be	AUX
asir-788	50	5	co	co	ADJ
asir-788	50	6	-	-	ADJ
asir-788	50	7	operative	operative	ADJ
asir-788	50	8	.	.	PUNCT
asir-788	51	1	we	we	PRON
asir-788	51	2	hypothetically	hypothetically	ADV
asir-788	51	3	consider	consider	VERB
asir-788	51	4	that	that	SCONJ
asir-788	51	5	the	the	DET
asir-788	51	6	predator	predator	NOUN
asir-788	51	7	does	do	AUX
asir-788	51	8	not	not	PART
asir-788	51	9	disturb	disturb	VERB
asir-788	51	10	the	the	DET
asir-788	51	11	facultative	facultative	ADJ
asir-788	51	12	mutualism	mutualism	NOUN
asir-788	51	13	of	of	ADP
asir-788	51	14	prey	prey	PROPN
asir-788	51	15	species	specie	NOUN
asir-788	51	16	.	.	PUNCT
asir-788	52	1	3	3	X
asir-788	52	2	.	.	X
asir-788	52	3	the	the	DET
asir-788	52	4	equilibria	equilibrium	NOUN
asir-788	52	5	of	of	ADP
asir-788	52	6	the	the	DET
asir-788	52	7	model	model	NOUN
asir-788	52	8	and	and	CCONJ
asir-788	52	9	the	the	DET
asir-788	52	10	existence	existence	NOUN
asir-788	52	11	conditions	condition	NOUN
asir-788	52	12	the	the	DET
asir-788	52	13	biological	biological	ADJ
asir-788	52	14	equilibria	equilibrium	NOUN
asir-788	52	15	or	or	CCONJ
asir-788	52	16	the	the	DET
asir-788	52	17	steady	steady	ADJ
asir-788	52	18	state	state	NOUN
asir-788	52	19	solutions	solution	NOUN
asir-788	52	20	are	be	AUX
asir-788	52	21	obtained	obtain	VERB
asir-788	52	22	by	by	ADP
asir-788	52	23	solving	solve	VERB
asir-788	52	24	0	0	NUM
asir-788	52	25	.	.	PUNCT
asir-788	53	1	1	1	NUM
asir-788	53	2	n	n	PROPN
asir-788	53	3	,	,	PUNCT
asir-788	53	4	0	0	NUM
asir-788	53	5	.	.	X
asir-788	53	6	2	2	NUM
asir-788	53	7	n	n	NOUN
asir-788	53	8	,	,	PUNCT
asir-788	53	9	0	0	NUM
asir-788	53	10	.	.	PUNCT
asir-788	53	11	3	3	NUM
asir-788	53	12	n	n	VERB
asir-788	53	13	where	where	SCONJ
asir-788	53	14	.	.	PUNCT
asir-788	54	1	in	in	ADP
asir-788	54	2	(	(	PUNCT
asir-788	54	3	i=1,2,3	i=1,2,3	X
asir-788	54	4	)	)	PUNCT
asir-788	54	5	are	be	AUX
asir-788	54	6	time	time	NOUN
asir-788	54	7	derivatives	derivative	NOUN
asir-788	54	8	of	of	ADP
asir-788	54	9	in	in	ADP
asir-788	54	10	(	(	PUNCT
asir-788	54	11	i=1,2,3	i=1,2,3	X
asir-788	54	12	)	)	PUNCT
asir-788	54	13	respectively	respectively	ADV
asir-788	54	14	.	.	PUNCT
asir-788	55	1	solving	solve	VERB
asir-788	55	2	these	these	DET
asir-788	55	3	equations	equation	NOUN
asir-788	55	4	we	we	PRON
asir-788	55	5	get	get	VERB
asir-788	55	6	the	the	DET
asir-788	55	7	points	point	NOUN
asir-788	55	8	6543210	6543210	NUM
asir-788	55	9	,	,	PUNCT
asir-788	55	10	,	,	PUNCT
asir-788	55	11	,	,	PUNCT
asir-788	55	12	,	,	PUNCT
asir-788	55	13	,	,	PUNCT
asir-788	55	14	,	,	PUNCT
asir-788	55	15	ppppppp	ppppppp	NOUN
asir-788	55	16	of	of	ADP
asir-788	55	17	equilibrium	equilibrium	NOUN
asir-788	55	18	.	.	PUNCT
asir-788	56	1	the	the	DET
asir-788	56	2	co	co	NOUN
asir-788	56	3	-	-	NOUN
asir-788	56	4	ordinates	ordinate	NOUN
asir-788	56	5	of	of	ADP
asir-788	56	6	these	these	DET
asir-788	56	7	points	point	NOUN
asir-788	56	8	and	and	CCONJ
asir-788	56	9	corresponding	corresponding	ADJ
asir-788	56	10	conditions	condition	NOUN
asir-788	56	11	of	of	ADP
asir-788	56	12	existence	existence	NOUN
asir-788	56	13	are	be	AUX
asir-788	56	14	given	give	VERB
asir-788	56	15	bellow	bellow	ADJ
asir-788	56	16	.	.	PUNCT
asir-788	57	1	the	the	DET
asir-788	57	2	point	point	NOUN
asir-788	57	3	)	)	PUNCT
asir-788	57	4	0,0,0(0p	0,0,0(0p	PROPN
asir-788	57	5	is	be	AUX
asir-788	57	6	trivial	trivial	ADJ
asir-788	57	7	which	which	PRON
asir-788	57	8	always	always	ADV
asir-788	57	9	exists	exist	VERB
asir-788	57	10	,	,	PUNCT
asir-788	57	11	the	the	DET
asir-788	57	12	point	point	NOUN
asir-788	57	13	)	)	PUNCT
asir-788	57	14	)	)	PUNCT
asir-788	57	15	1(,,0	1(,,0	NUM
asir-788	57	16	(	(	PUNCT
asir-788	57	17	2	2	NUM
asir-788	57	18	22	22	NUM
asir-788	57	19	2222	2222	NUM
asir-788	57	20	2	2	NUM
asir-788	57	21	22	22	NUM
asir-788	57	22	1	1	NUM
asir-788	57	23	a	a	DET
asir-788	57	24	eq	eq	NOUN
asir-788	57	25	ak	ak	PROPN
asir-788	57	26	d	d	PROPN
asir-788	57	27	a	a	DET
asir-788	57	28	r	r	NOUN
asir-788	57	29	a	a	PRON
asir-788	57	30	d	d	X
asir-788	57	31	p	p	NOUN
asir-788	57	32			NUM
asir-788	57	33			NOUN
asir-788	57	34	exists	exist	VERB
asir-788	57	35	if	if	SCONJ
asir-788	57	36	222	222	NUM
asir-788	57	37	2	2	NUM
asir-788	57	38	222	222	NUM
asir-788	57	39	ak	ak	PROPN
asir-788	57	40	dr	dr	PROPN
asir-788	57	41	eqr	eqr	PROPN
asir-788	57	42			PROPN
asir-788	57	43			PROPN
asir-788	57	44	,	,	PUNCT
asir-788	57	45	(	(	PUNCT
asir-788	57	46	6	6	NUM
asir-788	57	47	)	)	PUNCT
asir-788	57	48	)	)	PUNCT
asir-788	58	1	0),(,0	0),(,0	PROPN
asir-788	58	2	(	(	PUNCT
asir-788	58	3	222	222	NUM
asir-788	58	4	2	2	NUM
asir-788	58	5	2	2	NUM
asir-788	58	6	2	2	NUM
asir-788	58	7	eqr	eqr	NOUN
asir-788	58	8	r	r	NOUN
asir-788	58	9	k	k	NOUN
asir-788	59	1	p	p	X
asir-788	59	2			NOUN
asir-788	59	3	exists	exist	VERB
asir-788	59	4	if	if	SCONJ
asir-788	59	5	222	222	NUM
asir-788	59	6	eqr	eqr	ADJ
asir-788	59	7			PROPN
asir-788	59	8	>	>	PROPN
asir-788	59	9	0	0	NUM
asir-788	59	10	,	,	PUNCT
asir-788	59	11	(	(	PUNCT
asir-788	59	12	7	7	NUM
asir-788	59	13	)	)	PUNCT
asir-788	59	14	)	)	PUNCT
asir-788	59	15	0,0	0,0	NOUN
asir-788	59	16	)	)	PUNCT
asir-788	59	17	,	,	PUNCT
asir-788	59	18	(	(	PUNCT
asir-788	59	19	(	(	PUNCT
asir-788	59	20	111	111	NUM
asir-788	59	21	1	1	NUM
asir-788	59	22	1	1	NUM
asir-788	59	23	3	3	NUM
asir-788	59	24	eqr	eqr	NOUN
asir-788	59	25	r	r	NOUN
asir-788	59	26	k	k	PROPN
asir-788	59	27	p	p	X
asir-788	59	28			NOUN
asir-788	59	29	exists	exist	VERB
asir-788	59	30	if	if	SCONJ
asir-788	59	31	111	111	NUM
asir-788	59	32	eqr	eqr	PROPN
asir-788	59	33			NOUN
asir-788	59	34	>	>	NOUN
asir-788	59	35	0	0	NUM
asir-788	59	36	,	,	PUNCT
asir-788	59	37	(	(	PUNCT
asir-788	59	38	8)	8)	NUM
asir-788	59	39	)	)	PUNCT
asir-788	59	40	)	)	PUNCT
asir-788	59	41	1(,0	1(,0	PROPN
asir-788	59	42	,	,	PUNCT
asir-788	59	43	(	(	PUNCT
asir-788	59	44	1	1	NUM
asir-788	59	45	11	11	NUM
asir-788	59	46	1111	1111	NUM
asir-788	59	47	1	1	NUM
asir-788	59	48	11	11	NUM
asir-788	59	49	4	4	NUM
asir-788	59	50	a	a	DET
asir-788	59	51	eq	eq	NOUN
asir-788	59	52	ak	ak	PROPN
asir-788	59	53	d	d	PROPN
asir-788	59	54	a	a	DET
asir-788	59	55	r	r	NOUN
asir-788	59	56	a	a	DET
asir-788	59	57	d	d	X
asir-788	59	58	p	p	NOUN
asir-788	59	59			NUM
asir-788	59	60			NOUN
asir-788	59	61	exists	exist	VERB
asir-788	59	62	if	if	SCONJ
asir-788	59	63	111	111	NUM
asir-788	59	64	eqr	eqr	PROPN
asir-788	59	65			NOUN
asir-788	59	66	>	>	SYM
asir-788	59	67	111	111	NUM
asir-788	59	68	1	1	NUM
asir-788	59	69	ak	ak	PROPN
asir-788	59	70	dr	dr	PROPN
asir-788	59	71			PROPN
asir-788	59	72	,	,	PUNCT
asir-788	59	73	(	(	PUNCT
asir-788	59	74	9	9	NUM
asir-788	59	75	)	)	PUNCT
asir-788	59	76	)	)	PUNCT
asir-788	59	77	0	0	NUM
asir-788	59	78	,	,	PUNCT
asir-788	59	79	,	,	PUNCT
asir-788	59	80	(	(	PUNCT
asir-788	59	81	215	215	NUM
asir-788	59	82	nnp	nnp	NOUN
asir-788	59	83	where	where	SCONJ
asir-788	59	84	)	)	PUNCT
asir-788	59	85	]	]	X
asir-788	59	86	(	(	PUNCT
asir-788	59	87	)	)	PUNCT
asir-788	59	88	(	(	PUNCT
asir-788	59	89	[	[	PUNCT
asir-788	59	90	1	1	NUM
asir-788	59	91	1	1	NUM
asir-788	59	92	22212	22212	NUM
asir-788	59	93	2	2	NUM
asir-788	59	94	2	2	NUM
asir-788	59	95	111	111	NUM
asir-788	59	96	1	1	NUM
asir-788	59	97	1	1	NUM
asir-788	59	98	2112	2112	NUM
asir-788	59	99	1	1	NUM
asir-788	59	100	eqr	eqr	NOUN
asir-788	59	101	r	r	NOUN
asir-788	59	102	k	k	X
asir-788	59	103	eqr	eqr	PROPN
asir-788	59	104	r	r	PROPN
asir-788	59	105	k	k	PROPN
asir-788	59	106	n	n	PROPN
asir-788	59	107			VERB
asir-788	59	108			VERB
asir-788	59	109			PRON
asir-788	59	110			NOUN
asir-788	59	111			ADP
asir-788	59	112	,	,	PUNCT
asir-788	59	113	)	)	PUNCT
asir-788	59	114	]	]	X
asir-788	59	115	(	(	PUNCT
asir-788	59	116	)	)	PUNCT
asir-788	59	117	(	(	PUNCT
asir-788	59	118	[	[	PUNCT
asir-788	59	119	1	1	NUM
asir-788	59	120	1	1	NUM
asir-788	59	121	222	222	NUM
asir-788	59	122	2	2	NUM
asir-788	59	123	2	2	NUM
asir-788	59	124	11121	11121	NUM
asir-788	59	125	1	1	NUM
asir-788	59	126	1	1	NUM
asir-788	59	127	2112	2112	NUM
asir-788	59	128	2	2	NUM
asir-788	59	129	eqr	eqr	NOUN
asir-788	59	130	r	r	NOUN
asir-788	59	131	k	k	X
asir-788	59	132	eqr	eqr	PROPN
asir-788	59	133	r	r	PROPN
asir-788	59	134	k	k	PROPN
asir-788	59	135	n	n	PROPN
asir-788	59	136			VERB
asir-788	59	137			VERB
asir-788	59	138			PRON
asir-788	59	139			NOUN
asir-788	59	140			PRON
asir-788	59	141	,	,	PUNCT
asir-788	59	142	and	and	CCONJ
asir-788	59	143	it	it	PRON
asir-788	59	144	exists	exist	VERB
asir-788	59	145	if	if	SCONJ
asir-788	59	146	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-788	59	147	applied	apply	VERB
asir-788	59	148	science	science	NOUN
asir-788	59	149	and	and	CCONJ
asir-788	59	150	innovative	innovative	ADJ
asir-788	59	151	research	research	NOUN
asir-788	59	152	vol	vol	NOUN
asir-788	59	153	.	.	PROPN
asir-788	60	1	1	1	NUM
asir-788	60	2	,	,	PUNCT
asir-788	60	3	no	no	INTJ
asir-788	60	4	.	.	NOUN
asir-788	60	5	1	1	NUM
asir-788	60	6	,	,	PUNCT
asir-788	60	7	2017	2017	NUM
asir-788	60	8	4	4	NUM
asir-788	60	9	published	publish	VERB
asir-788	60	10	by	by	ADP
asir-788	60	11	scholink	scholink	PROPN
asir-788	60	12	inc	inc	PROPN
asir-788	60	13	.	.	PROPN
asir-788	60	14	111	111	NUM
asir-788	60	15	eqr	eqr	PROPN
asir-788	60	16			NOUN
asir-788	60	17	>	>	X
asir-788	60	18	0	0	NUM
asir-788	60	19	,	,	PUNCT
asir-788	60	20	222	222	NUM
asir-788	60	21	eqr	eqr	ADJ
asir-788	60	22			NOUN
asir-788	60	23	>	>	X
asir-788	60	24	0	0	PUNCT
asir-788	60	25	and	and	CCONJ
asir-788	60	26	12112	12112	NUM
asir-788	60	27			NOUN
asir-788	60	28	.	.	PUNCT
asir-788	61	1	(	(	PUNCT
asir-788	61	2	10	10	NUM
asir-788	61	3	)	)	PUNCT
asir-788	61	4	the	the	DET
asir-788	61	5	other	other	ADJ
asir-788	61	6	equilibrium	equilibrium	NOUN
asir-788	61	7	point	point	NOUN
asir-788	61	8	is	be	AUX
asir-788	61	9	interior	interior	ADJ
asir-788	61	10	equilibrium	equilibrium	NOUN
asir-788	61	11	and	and	CCONJ
asir-788	61	12	is	be	AUX
asir-788	61	13	)	)	PUNCT
asir-788	61	14	,	,	PUNCT
asir-788	61	15	,	,	PUNCT
asir-788	61	16	(	(	PUNCT
asir-788	61	17	*	*	PUNCT
asir-788	61	18	3	3	NUM
asir-788	61	19	*	*	SYM
asir-788	61	20	2	2	NUM
asir-788	61	21	*	*	SYM
asir-788	61	22	16	16	NUM
asir-788	61	23	nnnp	nnnp	ADV
asir-788	61	24	where	where	SCONJ
asir-788	61	25	2	2	NUM
asir-788	61	26	11	11	NUM
asir-788	61	27	2	2	NUM
asir-788	61	28	22	22	NUM
asir-788	61	29	22	22	NUM
asir-788	61	30	1	1	NUM
asir-788	61	31	1	1	NUM
asir-788	61	32	212	212	NUM
asir-788	61	33	2	2	NUM
asir-788	61	34	2	2	NUM
asir-788	61	35	121	121	NUM
asir-788	61	36	1	1	NUM
asir-788	61	37	1	1	NUM
asir-788	61	38	21	21	NUM
asir-788	61	39	1	1	NUM
asir-788	61	40	2	2	NUM
asir-788	61	41	2	2	NUM
asir-788	61	42	2222221212	2222221212	NUM
asir-788	61	43	1	1	NUM
asir-788	61	44	1	1	NUM
asir-788	61	45	21121	21121	NUM
asir-788	61	46	2	2	NUM
asir-788	61	47	2	2	NUM
asir-788	61	48	*	*	SYM
asir-788	61	49	1	1	NUM
asir-788	61	50	)	)	PUNCT
asir-788	61	51	(	(	PUNCT
asir-788	61	52	)	)	PUNCT
asir-788	61	53	(	(	PUNCT
asir-788	61	54	)	)	PUNCT
asir-788	61	55	(	(	PUNCT
asir-788	61	56	a	a	PRON
asir-788	61	57	k	k	NOUN
asir-788	61	58	r	r	NOUN
asir-788	61	59	a	a	PRON
asir-788	62	1	k	k	NOUN
asir-788	62	2	r	r	NOUN
asir-788	62	3	k	k	NOUN
asir-788	62	4	r	r	NOUN
asir-788	62	5	k	k	NOUN
asir-788	62	6	r	r	NOUN
asir-788	62	7	aa	aa	NOUN
asir-788	62	8	da	da	PROPN
asir-788	62	9	k	k	PROPN
asir-788	62	10	r	r	NOUN
asir-788	62	11	eqraada	eqraada	NOUN
asir-788	62	12	k	k	NOUN
asir-788	62	13	r	r	NOUN
asir-788	62	14	eqra	eqra	NOUN
asir-788	62	15	n	n	ADP
asir-788	62	16			NOUN
asir-788	62	17			NOUN
asir-788	62	18			ADV
asir-788	62	19			ADP
asir-788	62	20			PRON
asir-788	62	21	(	(	PUNCT
asir-788	62	22	11	11	NUM
asir-788	62	23	)	)	SYM
asir-788	62	24	2	2	NUM
asir-788	62	25	11	11	NUM
asir-788	62	26	2	2	NUM
asir-788	62	27	22	22	NUM
asir-788	62	28	22	22	NUM
asir-788	62	29	1	1	NUM
asir-788	62	30	1	1	NUM
asir-788	62	31	212	212	NUM
asir-788	62	32	2	2	NUM
asir-788	62	33	2	2	NUM
asir-788	62	34	121	121	NUM
asir-788	62	35	1	1	NUM
asir-788	62	36	1	1	NUM
asir-788	62	37	21	21	NUM
asir-788	62	38	2	2	NUM
asir-788	62	39	1	1	NUM
asir-788	62	40	1	1	NUM
asir-788	62	41	1111121121	1111121121	NUM
asir-788	62	42	2	2	NUM
asir-788	62	43	2	2	NUM
asir-788	62	44	12212	12212	NUM
asir-788	62	45	2	2	NUM
asir-788	62	46	1	1	NUM
asir-788	62	47	*	*	SYM
asir-788	62	48	2	2	NUM
asir-788	62	49	)	)	PUNCT
asir-788	62	50	(	(	PUNCT
asir-788	62	51	)	)	PUNCT
asir-788	62	52	(	(	PUNCT
asir-788	62	53	)	)	PUNCT
asir-788	62	54	(	(	PUNCT
asir-788	62	55	a	a	DET
asir-788	62	56	k	k	NOUN
asir-788	62	57	r	r	NOUN
asir-788	62	58	a	a	PRON
asir-788	63	1	k	k	NOUN
asir-788	63	2	r	r	NOUN
asir-788	63	3	k	k	NOUN
asir-788	63	4	r	r	NOUN
asir-788	63	5	k	k	NOUN
asir-788	63	6	r	r	NOUN
asir-788	63	7	aa	aa	NOUN
asir-788	63	8	da	da	PROPN
asir-788	63	9	k	k	PROPN
asir-788	63	10	r	r	NOUN
asir-788	63	11	eqraada	eqraada	NOUN
asir-788	63	12	k	k	NOUN
asir-788	63	13	r	r	NOUN
asir-788	63	14	eqra	eqra	NOUN
asir-788	63	15	n	n	ADP
asir-788	63	16			NOUN
asir-788	63	17			NOUN
asir-788	63	18			ADV
asir-788	63	19			ADP
asir-788	63	20			PRON
asir-788	63	21	(	(	PUNCT
asir-788	63	22	12	12	NUM
asir-788	63	23	)	)	PUNCT
asir-788	63	24	2	2	NUM
asir-788	63	25	11	11	NUM
asir-788	63	26	2	2	NUM
asir-788	63	27	22	22	NUM
asir-788	63	28	22	22	NUM
asir-788	63	29	1	1	NUM
asir-788	63	30	1	1	NUM
asir-788	63	31	212	212	NUM
asir-788	63	32	2	2	NUM
asir-788	63	33	2	2	NUM
asir-788	63	34	121	121	NUM
asir-788	63	35	1	1	NUM
asir-788	63	36	1	1	NUM
asir-788	63	37	21	21	NUM
asir-788	63	38	2112	2112	NUM
asir-788	63	39	21	21	NUM
asir-788	63	40	21	21	NUM
asir-788	63	41	1112	1112	NUM
asir-788	63	42	1	1	NUM
asir-788	63	43	1	1	NUM
asir-788	63	44	22	22	NUM
asir-788	63	45	1	1	NUM
asir-788	63	46	1	1	NUM
asir-788	63	47	22211	22211	NUM
asir-788	63	48	2	2	NUM
asir-788	63	49	2	2	NUM
asir-788	63	50	2221	2221	NUM
asir-788	63	51	2	2	NUM
asir-788	63	52	2	2	NUM
asir-788	63	53	111	111	NUM
asir-788	63	54	*	*	SYM
asir-788	63	55	3	3	NUM
asir-788	63	56	)	)	PUNCT
asir-788	63	57	(	(	PUNCT
asir-788	63	58	)	)	PUNCT
asir-788	63	59	1	1	NUM
asir-788	63	60	(	(	PUNCT
asir-788	63	61	)	)	PUNCT
asir-788	63	62	)	)	PUNCT
asir-788	63	63	(	(	PUNCT
asir-788	63	64	(	(	PUNCT
asir-788	63	65	)	)	PUNCT
asir-788	63	66	)	)	PUNCT
asir-788	63	67	(	(	PUNCT
asir-788	63	68	(	(	PUNCT
asir-788	63	69	a	a	PRON
asir-788	63	70	k	k	NOUN
asir-788	63	71	r	r	NOUN
asir-788	63	72	a	a	PRON
asir-788	64	1	k	k	NOUN
asir-788	64	2	r	r	NOUN
asir-788	64	3	k	k	NOUN
asir-788	64	4	r	r	NOUN
asir-788	64	5	k	k	NOUN
asir-788	64	6	r	r	NOUN
asir-788	64	7	aa	aa	NOUN
asir-788	64	8	kk	kk	PROPN
asir-788	64	9	rdr	rdr	PROPN
asir-788	64	10	a	a	DET
asir-788	64	11	k	k	NOUN
asir-788	64	12	r	r	NOUN
asir-788	64	13	a	a	DET
asir-788	64	14	k	k	NOUN
asir-788	64	15	r	r	NOUN
asir-788	64	16	eqra	eqra	NOUN
asir-788	64	17	k	k	PROPN
asir-788	64	18	r	r	NOUN
asir-788	64	19	a	a	PROPN
asir-788	64	20	k	k	NOUN
asir-788	64	21	r	r	NOUN
asir-788	64	22	eqr	eqr	NOUN
asir-788	64	23	n	n	PRON
asir-788	64	24			NOUN
asir-788	64	25			PUNCT
asir-788	64	26			ADV
asir-788	64	27			PROPN
asir-788	64	28			NUM
asir-788	64	29	(	(	PUNCT
asir-788	64	30	13	13	NUM
asir-788	64	31	)	)	PUNCT
asir-788	64	32	the	the	DET
asir-788	64	33	interior	interior	ADJ
asir-788	64	34	equilibrium	equilibrium	NOUN
asir-788	64	35	point	point	NOUN
asir-788	64	36	exists	exist	VERB
asir-788	64	37	if	if	SCONJ
asir-788	64	38			NUM
asir-788	64	39			NUM
asir-788	64	40			NUM
asir-788	64	41			NUM
asir-788	64	42			NUM
asir-788	64	43			NUM
asir-788	64	44			NUM
asir-788	64	45			NUM
asir-788	64	46			NUM
asir-788	64	47			PROPN
asir-788	64	48			PROPN
asir-788	64	49			VERB
asir-788	64	50			NOUN
asir-788	64	51			NOUN
asir-788	64	52			PROPN
asir-788	64	53	)	)	PUNCT
asir-788	64	54	1	1	NUM
asir-788	64	55	(	(	PUNCT
asir-788	64	56	)	)	PUNCT
asir-788	64	57	)	)	PUNCT
asir-788	64	58	(	(	PUNCT
asir-788	64	59	(	(	PUNCT
asir-788	64	60	)	)	PUNCT
asir-788	64	61	)	)	PUNCT
asir-788	64	62	(	(	PUNCT
asir-788	64	63	(	(	PUNCT
asir-788	64	64	)	)	PUNCT
asir-788	64	65	(	(	PUNCT
asir-788	64	66	)	)	PUNCT
asir-788	64	67	(	(	PUNCT
asir-788	64	68	)	)	PUNCT
asir-788	64	69	(	(	PUNCT
asir-788	64	70	)	)	PUNCT
asir-788	64	71	(	(	PUNCT
asir-788	64	72	,	,	PUNCT
asir-788	64	73	,	,	PUNCT
asir-788	64	74	2112	2112	NUM
asir-788	64	75	21	21	NUM
asir-788	64	76	21	21	NUM
asir-788	64	77	1	1	NUM
asir-788	64	78	1	1	NUM
asir-788	64	79	111222222	111222222	NUM
asir-788	64	80	2	2	NUM
asir-788	64	81	2	2	NUM
asir-788	64	82	112221111	112221111	NUM
asir-788	64	83	1111212	1111212	NUM
asir-788	64	84	1	1	NUM
asir-788	64	85	1	1	NUM
asir-788	64	86	121	121	NUM
asir-788	64	87	2	2	NUM
asir-788	64	88	2	2	NUM
asir-788	64	89	1	1	NUM
asir-788	64	90	2	2	NUM
asir-788	64	91	1222	1222	NUM
asir-788	64	92	2222211	2222211	NUM
asir-788	64	93	2	2	NUM
asir-788	64	94	2	2	NUM
asir-788	64	95	212	212	NUM
asir-788	64	96	1	1	NUM
asir-788	64	97	1	1	NUM
asir-788	64	98	2	2	NUM
asir-788	64	99	2	2	NUM
asir-788	64	100	2111	2111	NUM
asir-788	64	101	222111	222111	NUM
asir-788	64	102			PUNCT
asir-788	65	1			PROPN
asir-788	65	2			PROPN
asir-788	66	1	kk	kk	PROPN
asir-788	66	2	rdr	rdr	PROPN
asir-788	66	3	k	k	PROPN
asir-788	66	4	r	r	NOUN
asir-788	66	5	aaeqr	aaeqr	ADV
asir-788	67	1	k	k	X
asir-788	67	2	r	r	NOUN
asir-788	67	3	aaeqr	aaeqr	ADV
asir-788	67	4	eqraada	eqraada	PROPN
asir-788	67	5	k	k	PROPN
asir-788	67	6	r	r	NOUN
asir-788	67	7	da	da	PROPN
asir-788	67	8	k	k	PROPN
asir-788	67	9	r	r	NOUN
asir-788	67	10	aeqr	aeqr	NOUN
asir-788	67	11	eqraada	eqraada	NOUN
asir-788	67	12	k	k	PROPN
asir-788	67	13	r	r	NOUN
asir-788	67	14	da	da	PROPN
asir-788	67	15	k	k	PROPN
asir-788	67	16	r	r	NOUN
asir-788	67	17	aeqr	aeqr	NOUN
asir-788	67	18	eqreqr	eqreqr	NOUN
asir-788	67	19	(	(	PUNCT
asir-788	67	20	14	14	NUM
asir-788	67	21	)	)	PUNCT
asir-788	67	22	4	4	NUM
asir-788	67	23	.	.	PUNCT
asir-788	68	1	local	local	ADJ
asir-788	68	2	stability	stability	NOUN
asir-788	68	3	analysis	analysis	NOUN
asir-788	68	4	to	to	PART
asir-788	68	5	analyze	analyze	VERB
asir-788	68	6	the	the	DET
asir-788	68	7	local	local	ADJ
asir-788	68	8	stability	stability	NOUN
asir-788	68	9	at	at	ADP
asir-788	68	10	the	the	DET
asir-788	68	11	different	different	ADJ
asir-788	68	12	equilibria	equilibrium	NOUN
asir-788	68	13	we	we	PRON
asir-788	68	14	consider	consider	VERB
asir-788	68	15	the	the	DET
asir-788	68	16	following	follow	VERB
asir-788	68	17	community	community	NOUN
asir-788	68	18	matrix	matrix	NOUN
asir-788	68	19	and	and	CCONJ
asir-788	68	20	use	use	VERB
asir-788	68	21	variational	variational	ADJ
asir-788	68	22	principle	principle	NOUN
asir-788	68	23	.	.	PUNCT
asir-788	69	1			NOUN
asir-788	70	1			PROPN
asir-788	71	1			PUNCT
asir-788	72	1			PUNCT
asir-788	72	2			PUNCT
asir-788	73	1			NOUN
asir-788	73	2			PROPN
asir-788	73	3			PROPN
asir-788	73	4			X
asir-788	73	5			NOUN
asir-788	73	6			NOUN
asir-788	73	7			NOUN
asir-788	73	8			NOUN
asir-788	73	9			NOUN
asir-788	73	10			NOUN
asir-788	73	11			NOUN
asir-788	73	12			VERB
asir-788	73	13			PROPN
asir-788	73	14			PROPN
asir-788	73	15			PROPN
asir-788	73	16			PROPN
asir-788	73	17			PROPN
asir-788	73	18	dnananana	dnananana	PROPN
asir-788	74	1	nav	nav	PROPN
asir-788	74	2	k	k	PROPN
asir-788	74	3	nr	nr	PROPN
asir-788	74	4	na	na	PROPN
asir-788	74	5	k	k	PROPN
asir-788	74	6	nr	nr	PROPN
asir-788	74	7	v	v	PROPN
asir-788	74	8	j	j	PROPN
asir-788	74	9	222111322311	222111322311	NUM
asir-788	74	10	2222	2222	NUM
asir-788	74	11	2	2	NUM
asir-788	74	12	2212	2212	NUM
asir-788	74	13	11	11	NUM
asir-788	74	14	1	1	NUM
asir-788	74	15	1121	1121	NUM
asir-788	74	16	11	11	NUM
asir-788	74	17			ADJ
asir-788	74	18			NOUN
asir-788	74	19			X
asir-788	74	20	(	(	PUNCT
asir-788	74	21	15	15	NUM
asir-788	74	22	)	)	PUNCT
asir-788	74	23	where	where	SCONJ
asir-788	74	24	1	1	NUM
asir-788	74	25	11	11	NUM
asir-788	74	26	1131	1131	NUM
asir-788	74	27	1	1	NUM
asir-788	74	28	2121	2121	NUM
asir-788	74	29	111	111	NUM
asir-788	74	30	1	1	NUM
asir-788	74	31	k	k	NOUN
asir-788	74	32	nr	nr	PROPN
asir-788	74	33	eqna	eqna	PROPN
asir-788	74	34	k	k	PROPN
asir-788	74	35	nn	nn	PROPN
asir-788	74	36	rv	rv	PROPN
asir-788	74	37			PROPN
asir-788	74	38			PROPN
asir-788	74	39			X
asir-788	74	40			NOUN
asir-788	74	41			VERB
asir-788	74	42			PROPN
asir-788	74	43			PROPN
asir-788	74	44			ADJ
asir-788	74	45			NOUN
asir-788	74	46	(	(	PUNCT
asir-788	74	47	16	16	NUM
asir-788	74	48	)	)	PUNCT
asir-788	74	49	2	2	NUM
asir-788	74	50	22	22	NUM
asir-788	74	51	2232	2232	NUM
asir-788	74	52	2	2	NUM
asir-788	74	53	1212	1212	NUM
asir-788	74	54	222	222	NUM
asir-788	74	55	1	1	NUM
asir-788	74	56	k	k	NOUN
asir-788	74	57	nr	nr	PROPN
asir-788	74	58	eqna	eqna	PROPN
asir-788	74	59	k	k	PROPN
asir-788	74	60	nn	nn	PROPN
asir-788	74	61	rv	rv	PROPN
asir-788	74	62			PROPN
asir-788	74	63			PROPN
asir-788	74	64			X
asir-788	74	65			NOUN
asir-788	74	66			VERB
asir-788	74	67			PROPN
asir-788	74	68			PROPN
asir-788	74	69			ADJ
asir-788	74	70			NOUN
asir-788	74	71	(	(	PUNCT
asir-788	74	72	17	17	NUM
asir-788	74	73	)	)	PUNCT
asir-788	74	74	at	at	ADP
asir-788	74	75	)	)	PUNCT
asir-788	74	76	0,0,0(0p	0,0,0(0p	PROPN
asir-788	74	77	the	the	DET
asir-788	74	78	community	community	NOUN
asir-788	74	79	matrix	matrix	NOUN
asir-788	74	80	reduces	reduce	VERB
asir-788	74	81	to	to	ADP
asir-788	74	82			NOUN
asir-788	74	83			PROPN
asir-788	75	1			PROPN
asir-788	75	2			PROPN
asir-788	75	3			X
asir-788	75	4			NOUN
asir-788	75	5			NOUN
asir-788	75	6			NOUN
asir-788	75	7			VERB
asir-788	75	8			PROPN
asir-788	75	9			PROPN
asir-788	75	10			PROPN
asir-788	75	11			NOUN
asir-788	75	12			PROPN
asir-788	75	13	d	d	PROPN
asir-788	75	14	eqr	eqr	PROPN
asir-788	75	15	eqr	eqr	PROPN
asir-788	75	16	j	j	PROPN
asir-788	75	17	00	00	NUM
asir-788	75	18	00	00	NUM
asir-788	75	19	00	00	NUM
asir-788	76	1	222	222	NUM
asir-788	76	2	111	111	NUM
asir-788	76	3	0	0	NUM
asir-788	76	4	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-788	76	5	applied	apply	VERB
asir-788	76	6	science	science	NOUN
asir-788	76	7	and	and	CCONJ
asir-788	76	8	innovative	innovative	ADJ
asir-788	76	9	research	research	NOUN
asir-788	76	10	vol	vol	NOUN
asir-788	76	11	.	.	PROPN
asir-788	77	1	1	1	NUM
asir-788	77	2	,	,	PUNCT
asir-788	77	3	no	no	INTJ
asir-788	77	4	.	.	NOUN
asir-788	77	5	1	1	NUM
asir-788	77	6	,	,	PUNCT
asir-788	77	7	2017	2017	NUM
asir-788	77	8	5	5	NUM
asir-788	77	9	published	publish	VERB
asir-788	77	10	by	by	ADP
asir-788	77	11	scholink	scholink	PROPN
asir-788	77	12	inc	inc	PROPN
asir-788	77	13	.	.	PROPN
asir-788	77	14	whose	whose	DET
asir-788	77	15	eigenvalues	eigenvalue	NOUN
asir-788	77	16	are	be	AUX
asir-788	77	17	111	111	NUM
asir-788	77	18	1	1	NUM
asir-788	77	19	0	0	NUM
asir-788	77	20	eqr	eqr	PROPN
asir-788	77	21			X
asir-788	77	22	,	,	PUNCT
asir-788	77	23	222	222	NUM
asir-788	77	24	2	2	NUM
asir-788	77	25	0	0	NUM
asir-788	77	26	eqr	eqr	PROPN
asir-788	77	27			NOUN
asir-788	77	28	,	,	PUNCT
asir-788	77	29	d3	d3	INTJ
asir-788	77	30	0	0	NUM
asir-788	77	31	.	.	PUNCT
asir-788	78	1	thus	thus	ADV
asir-788	78	2	origin	origin	NOUN
asir-788	78	3	is	be	AUX
asir-788	78	4	a	a	DET
asir-788	78	5	stable	stable	ADJ
asir-788	78	6	node	node	NOUN
asir-788	78	7	if	if	SCONJ
asir-788	78	8	,	,	PUNCT
asir-788	78	9	1	1	NUM
asir-788	78	10	1	1	NUM
asir-788	78	11	1	1	NUM
asir-788	78	12	q	q	NOUN
asir-788	78	13	r	r	NOUN
asir-788	78	14	e	e	NOUN
asir-788	78	15			ADJ
asir-788	78	16	2	2	NUM
asir-788	78	17	2	2	NUM
asir-788	78	18	2	2	NUM
asir-788	78	19	q	q	NOUN
asir-788	78	20	r	r	NOUN
asir-788	78	21	e	e	NOUN
asir-788	78	22			VERB
asir-788	78	23	that	that	PRON
asir-788	78	24	is	be	AUX
asir-788	78	25	if	if	SCONJ
asir-788	78	26	the	the	DET
asir-788	78	27	harvesting	harvesting	NOUN
asir-788	78	28	efforts	effort	NOUN
asir-788	78	29	are	be	AUX
asir-788	78	30	more	more	ADJ
asir-788	78	31	than	than	ADP
asir-788	78	32	the	the	DET
asir-788	78	33	corresponding	corresponding	ADJ
asir-788	78	34	biotechnical	biotechnical	ADJ
asir-788	78	35	productivity	productivity	NOUN
asir-788	78	36	of	of	ADP
asir-788	78	37	the	the	DET
asir-788	78	38	two	two	NUM
asir-788	78	39	facultative	facultative	ADJ
asir-788	78	40	prey	prey	NOUN
asir-788	78	41	species	specie	NOUN
asir-788	78	42	.	.	PUNCT
asir-788	79	1	we	we	PRON
asir-788	79	2	also	also	ADV
asir-788	79	3	see	see	VERB
asir-788	79	4	that	that	SCONJ
asir-788	79	5	if	if	SCONJ
asir-788	79	6	the	the	DET
asir-788	79	7	system	system	NOUN
asir-788	79	8	be	be	AUX
asir-788	79	9	stabilized	stabilize	VERB
asir-788	79	10	at	at	ADP
asir-788	79	11	origin	origin	NOUN
asir-788	79	12	then	then	ADV
asir-788	79	13	no	no	DET
asir-788	79	14	other	other	ADJ
asir-788	79	15	equilibrium	equilibrium	NOUN
asir-788	79	16	of	of	ADP
asir-788	79	17	the	the	DET
asir-788	79	18	system	system	NOUN
asir-788	79	19	will	will	AUX
asir-788	79	20	be	be	AUX
asir-788	79	21	found	find	VERB
asir-788	79	22	.	.	PUNCT
asir-788	80	1	at	at	ADP
asir-788	80	2	)	)	PUNCT
asir-788	80	3	)	)	PUNCT
asir-788	80	4	1(,,0	1(,,0	NUM
asir-788	80	5	(	(	PUNCT
asir-788	80	6	2	2	NUM
asir-788	80	7	22	22	NUM
asir-788	80	8	2222	2222	NUM
asir-788	80	9	2	2	NUM
asir-788	80	10	22	22	NUM
asir-788	80	11	1	1	NUM
asir-788	80	12	a	a	DET
asir-788	80	13	eq	eq	NOUN
asir-788	80	14	ak	ak	PROPN
asir-788	80	15	d	d	PROPN
asir-788	80	16	a	a	DET
asir-788	80	17	r	r	NOUN
asir-788	80	18	a	a	PRON
asir-788	80	19	d	d	X
asir-788	80	20	p	p	X
asir-788	80	21			NUM
asir-788	80	22			VERB
asir-788	80	23	the	the	DET
asir-788	80	24	jacobian	jacobian	ADJ
asir-788	80	25	matrix	matrix	NOUN
asir-788	80	26	reduces	reduce	VERB
asir-788	80	27	to	to	ADP
asir-788	80	28			NOUN
asir-788	80	29			PROPN
asir-788	81	1			PROPN
asir-788	81	2			NOUN
asir-788	82	1			PUNCT
asir-788	82	2			NOUN
asir-788	82	3			PROPN
asir-788	82	4			PROPN
asir-788	82	5			X
asir-788	82	6			NOUN
asir-788	82	7			NOUN
asir-788	82	8			NOUN
asir-788	82	9			NOUN
asir-788	82	10			NOUN
asir-788	82	11			NOUN
asir-788	82	12			NOUN
asir-788	82	13			NOUN
asir-788	82	14			PROPN
asir-788	82	15			INTJ
asir-788	82	16			PROPN
asir-788	83	1			NOUN
asir-788	83	2	0	0	NUM
asir-788	83	3	00)1	00)1	NUM
asir-788	83	4	(	(	PUNCT
asir-788	83	5	122111	122111	NUM
asir-788	83	6	2222	2222	NUM
asir-788	83	7	2	2	NUM
asir-788	83	8	222	222	NUM
asir-788	83	9	212	212	NUM
asir-788	83	10	1111	1111	NUM
asir-788	83	11	221	221	NUM
asir-788	83	12	12	12	NUM
asir-788	83	13	1	1	NUM
asir-788	83	14	1	1	NUM
asir-788	83	15	zaza	zaza	PROPN
asir-788	83	16	d	d	PROPN
asir-788	83	17	ak	ak	PROPN
asir-788	83	18	dr	dr	PROPN
asir-788	83	19	ak	ak	PROPN
asir-788	83	20	dr	dr	PROPN
asir-788	83	21	zaeq	zaeq	PROPN
asir-788	83	22	ak	ak	PROPN
asir-788	84	1	d	d	PROPN
asir-788	84	2	r	r	PROPN
asir-788	84	3	j	j	PROPN
asir-788	84	4			ADJ
asir-788	84	5			NOUN
asir-788	84	6			X
asir-788	84	7			NOUN
asir-788	84	8			NOUN
asir-788	84	9	where	where	SCONJ
asir-788	84	10	2	2	NUM
asir-788	84	11	22	22	NUM
asir-788	84	12	2222	2222	NUM
asir-788	84	13	2	2	NUM
asir-788	84	14	1	1	NUM
asir-788	84	15	)	)	PUNCT
asir-788	84	16	1	1	NUM
asir-788	84	17	(	(	PUNCT
asir-788	84	18	a	a	DET
asir-788	84	19	eq	eq	NOUN
asir-788	84	20	ak	ak	PROPN
asir-788	84	21	d	d	PROPN
asir-788	84	22	a	a	DET
asir-788	84	23	r	r	NOUN
asir-788	84	24	z	z	NOUN
asir-788	84	25			NOUN
asir-788	85	1			NOUN
asir-788	85	2	.	.	PUNCT
asir-788	86	1	one	one	NUM
asir-788	86	2	of	of	ADP
asir-788	86	3	the	the	DET
asir-788	86	4	eigenvalues	eigenvalue	NOUN
asir-788	86	5	of	of	ADP
asir-788	86	6	1j	1j	NUM
asir-788	86	7	is	be	AUX
asir-788	86	8	1111	1111	NUM
asir-788	86	9	221	221	NUM
asir-788	86	10	12	12	NUM
asir-788	86	11	1	1	NUM
asir-788	86	12	1	1	NUM
asir-788	86	13	1	1	NUM
asir-788	86	14	)	)	PUNCT
asir-788	86	15	1	1	NUM
asir-788	86	16	(	(	PUNCT
asir-788	86	17	zaeq	zaeq	NOUN
asir-788	86	18	ak	ak	PROPN
asir-788	86	19	d	d	PROPN
asir-788	86	20	r	r	NOUN
asir-788	86	21			NOUN
asir-788	86	22			PROPN
asir-788	86	23			NOUN
asir-788	86	24			X
asir-788	86	25	which	which	PRON
asir-788	86	26	may	may	AUX
asir-788	86	27	be	be	AUX
asir-788	86	28	positive	positive	ADJ
asir-788	86	29	or	or	CCONJ
asir-788	86	30	negative	negative	ADJ
asir-788	86	31	depending	depend	VERB
asir-788	86	32	upon	upon	SCONJ
asir-788	86	33	the	the	DET
asir-788	86	34	values	value	NOUN
asir-788	86	35	of	of	ADP
asir-788	86	36	the	the	DET
asir-788	86	37	parameters	parameter	NOUN
asir-788	86	38	.	.	PUNCT
asir-788	87	1	in	in	ADP
asir-788	87	2	the	the	DET
asir-788	87	3	inspection	inspection	NOUN
asir-788	87	4	of	of	ADP
asir-788	87	5	other	other	ADJ
asir-788	87	6	two	two	NUM
asir-788	87	7	eigenvalues	eigenvalue	NOUN
asir-788	87	8	we	we	PRON
asir-788	87	9	see	see	VERB
asir-788	87	10	that	that	SCONJ
asir-788	87	11	they	they	PRON
asir-788	87	12	are	be	AUX
asir-788	87	13	the	the	DET
asir-788	87	14	roots	root	NOUN
asir-788	87	15	of	of	ADP
asir-788	87	16	the	the	DET
asir-788	87	17	quadratic	quadratic	ADJ
asir-788	87	18	012	012	NUM
asir-788	87	19	222	222	NUM
asir-788	87	20	22	22	NUM
asir-788	87	21			NOUN
asir-788	87	22	zda	zda	PROPN
asir-788	87	23	ak	ak	PROPN
asir-788	87	24	dr	dr	PROPN
asir-788	87	25			PROPN
asir-788	87	26			PROPN
asir-788	87	27			NOUN
asir-788	87	28	.	.	PUNCT
asir-788	88	1	the	the	DET
asir-788	88	2	sum	sum	NOUN
asir-788	88	3	of	of	ADP
asir-788	88	4	whose	whose	DET
asir-788	88	5	roots=	roots=	VERB
asir-788	88	6	0	0	NUM
asir-788	88	7	222	222	NUM
asir-788	88	8	2	2	NUM
asir-788	88	9			PUNCT
asir-788	88	10	ak	ak	PROPN
asir-788	88	11	dr	dr	PROPN
asir-788	88	12			PROPN
asir-788	88	13	,	,	PUNCT
asir-788	88	14	the	the	DET
asir-788	88	15	product	product	NOUN
asir-788	88	16	of	of	ADP
asir-788	88	17	the	the	DET
asir-788	88	18	roots=	roots=	NUM
asir-788	88	19	012	012	NUM
asir-788	88	20			PUNCT
asir-788	88	21	zda	zda	X
asir-788	88	22	with	with	ADP
asir-788	88	23	the	the	DET
asir-788	88	24	assumption	assumption	NOUN
asir-788	88	25	that	that	SCONJ
asir-788	88	26	1p	1p	NUM
asir-788	88	27	exists	exist	VERB
asir-788	88	28	.	.	PUNCT
asir-788	89	1	thus	thus	ADV
asir-788	89	2	other	other	ADJ
asir-788	89	3	two	two	NUM
asir-788	89	4	eigenvalues	eigenvalue	NOUN
asir-788	89	5	are	be	AUX
asir-788	89	6	one	one	NUM
asir-788	89	7	positive	positive	ADJ
asir-788	89	8	and	and	CCONJ
asir-788	89	9	one	one	NUM
asir-788	89	10	negative	negative	ADJ
asir-788	89	11	.	.	PUNCT
asir-788	90	1	hence	hence	ADV
asir-788	90	2	1p	1p	NUM
asir-788	90	3	is	be	AUX
asir-788	90	4	an	an	DET
asir-788	90	5	unstable	unstable	ADJ
asir-788	90	6	equilibrium	equilibrium	NOUN
asir-788	90	7	,	,	PUNCT
asir-788	90	8	whatever	whatever	PRON
asir-788	90	9	the	the	DET
asir-788	90	10	sign	sign	NOUN
asir-788	90	11	of	of	ADP
asir-788	90	12	1111	1111	NUM
asir-788	90	13	221	221	NUM
asir-788	90	14	12	12	NUM
asir-788	90	15	1	1	NUM
asir-788	90	16	1	1	NUM
asir-788	90	17	1	1	NUM
asir-788	90	18	)	)	PUNCT
asir-788	90	19	1	1	NUM
asir-788	90	20	(	(	PUNCT
asir-788	90	21	zaeq	zaeq	NOUN
asir-788	90	22	ak	ak	PROPN
asir-788	90	23	d	d	PROPN
asir-788	90	24	r	r	NOUN
asir-788	90	25			NOUN
asir-788	90	26			PROPN
asir-788	90	27			X
asir-788	90	28			X
asir-788	90	29	may	may	AUX
asir-788	90	30	be	be	AUX
asir-788	90	31	.	.	PUNCT
asir-788	91	1	at	at	ADP
asir-788	91	2	)	)	PUNCT
asir-788	91	3	0),(,0	0),(,0	PROPN
asir-788	91	4	(	(	PUNCT
asir-788	91	5	222	222	NUM
asir-788	91	6	2	2	NUM
asir-788	91	7	2	2	NUM
asir-788	91	8	2	2	NUM
asir-788	91	9	eqr	eqr	NOUN
asir-788	91	10	r	r	NOUN
asir-788	91	11	k	k	NOUN
asir-788	92	1	p	p	X
asir-788	92	2			NOUN
asir-788	92	3	the	the	DET
asir-788	92	4	community	community	NOUN
asir-788	92	5	matrix	matrix	NOUN
asir-788	92	6	becomes	become	VERB
asir-788	92	7			NOUN
asir-788	92	8			NOUN
asir-788	92	9			PUNCT
asir-788	93	1			NOUN
asir-788	93	2			PUNCT
asir-788	94	1			NOUN
asir-788	94	2			PROPN
asir-788	94	3			PROPN
asir-788	94	4			X
asir-788	94	5			NOUN
asir-788	94	6			NOUN
asir-788	94	7			NOUN
asir-788	94	8			NOUN
asir-788	94	9			NOUN
asir-788	94	10			NOUN
asir-788	94	11			NOUN
asir-788	94	12			NOUN
asir-788	94	13			PROPN
asir-788	94	14			PUNCT
asir-788	94	15			PROPN
asir-788	94	16			PROPN
asir-788	94	17			ADJ
asir-788	94	18	deqr	deqr	NOUN
asir-788	94	19	r	r	NOUN
asir-788	94	20	ka	ka	PROPN
asir-788	94	21	eqr	eqr	PROPN
asir-788	94	22	r	r	PROPN
asir-788	94	23	ka	ka	PROPN
asir-788	94	24	eqreqr	eqreqr	PROPN
asir-788	94	25	eqeqr	eqeqr	PROPN
asir-788	94	26	rk	rk	PROPN
asir-788	94	27	k	k	PROPN
asir-788	94	28	r	r	PROPN
asir-788	94	29	j	j	PROPN
asir-788	94	30	)	)	PUNCT
asir-788	94	31	(	(	PUNCT
asir-788	94	32	00	00	NUM
asir-788	94	33	)	)	PUNCT
asir-788	94	34	(	(	PUNCT
asir-788	94	35	)	)	PUNCT
asir-788	94	36	(	(	PUNCT
asir-788	94	37	)	)	PUNCT
asir-788	94	38	(	(	PUNCT
asir-788	94	39	00))(1	00))(1	NUM
asir-788	94	40	(	(	PUNCT
asir-788	94	41	222	222	NUM
asir-788	94	42	2	2	NUM
asir-788	94	43	222	222	NUM
asir-788	94	44	222	222	NUM
asir-788	94	45	2	2	NUM
asir-788	94	46	22	22	NUM
asir-788	94	47	22222221	22222221	NUM
asir-788	94	48	11222	11222	NUM
asir-788	94	49	21	21	NUM
asir-788	94	50	122	122	NUM
asir-788	94	51	1	1	NUM
asir-788	94	52	2	2	NUM
asir-788	94	53			NOUN
asir-788	94	54			NOUN
asir-788	94	55			X
asir-788	94	56	.	.	PUNCT
asir-788	95	1	whose	whose	DET
asir-788	95	2	eigenvalues	eigenvalue	NOUN
asir-788	95	3	are	be	AUX
asir-788	95	4	,	,	PUNCT
asir-788	95	5	)	)	PUNCT
asir-788	95	6	(	(	PUNCT
asir-788	95	7	)	)	PUNCT
asir-788	95	8	(	(	PUNCT
asir-788	95	9	22212	22212	NUM
asir-788	95	10	12	12	NUM
asir-788	95	11	21	21	NUM
asir-788	95	12	111	111	NUM
asir-788	95	13	1	1	NUM
asir-788	95	14	2	2	NUM
asir-788	95	15	eqr	eqr	NOUN
asir-788	95	16	kr	kr	PROPN
asir-788	95	17	kr	kr	PROPN
asir-788	95	18	eqr	eqr	PROPN
asir-788	95	19			PROPN
asir-788	95	20			NOUN
asir-788	95	21	,	,	PUNCT
asir-788	95	22	)	)	PUNCT
asir-788	95	23	(	(	PUNCT
asir-788	95	24	222	222	NUM
asir-788	95	25	2	2	NUM
asir-788	95	26	2	2	NUM
asir-788	95	27	eqr	eqr	NOUN
asir-788	95	28			PROPN
asir-788	95	29	,	,	PUNCT
asir-788	95	30	deqra	deqra	VERB
asir-788	95	31	r	r	PROPN
asir-788	95	32	k	k	PROPN
asir-788	95	33			PUNCT
asir-788	95	34	)	)	PUNCT
asir-788	95	35	(	(	PUNCT
asir-788	95	36	2222	2222	NUM
asir-788	95	37	2	2	NUM
asir-788	95	38	221	221	NUM
asir-788	95	39	2	2	NUM
asir-788	95	40			PROPN
asir-788	95	41			NOUN
asir-788	95	42	.	.	PUNCT
asir-788	96	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-788	96	2	applied	apply	VERB
asir-788	96	3	science	science	NOUN
asir-788	96	4	and	and	CCONJ
asir-788	96	5	innovative	innovative	ADJ
asir-788	96	6	research	research	NOUN
asir-788	96	7	vol	vol	NOUN
asir-788	96	8	.	.	PROPN
asir-788	97	1	1	1	NUM
asir-788	97	2	,	,	PUNCT
asir-788	97	3	no	no	INTJ
asir-788	97	4	.	.	NOUN
asir-788	97	5	1	1	NUM
asir-788	97	6	,	,	PUNCT
asir-788	97	7	2017	2017	NUM
asir-788	97	8	6	6	NUM
asir-788	97	9	published	publish	VERB
asir-788	97	10	by	by	ADP
asir-788	97	11	scholink	scholink	PROPN
asir-788	97	12	inc	inc	PROPN
asir-788	97	13	.	.	PUNCT
asir-788	98	1	now	now	ADV
asir-788	98	2	,	,	PUNCT
asir-788	98	3	when	when	SCONJ
asir-788	98	4	2p	2p	NOUN
asir-788	98	5	exists	exist	VERB
asir-788	98	6	,	,	PUNCT
asir-788	98	7	0	0	NUM
asir-788	98	8	)	)	PUNCT
asir-788	98	9	(	(	PUNCT
asir-788	98	10	222	222	NUM
asir-788	98	11			PROPN
asir-788	98	12	eqr	eqr	NOUN
asir-788	98	13	.	.	PUNCT
asir-788	99	1	thus	thus	ADV
asir-788	99	2	the	the	DET
asir-788	99	3	above	above	ADJ
asir-788	99	4	eigenvalues	eigenvalue	NOUN
asir-788	99	5	are	be	AUX
asir-788	99	6	negative	negative	ADJ
asir-788	99	7	i.e.	i.e.	ADV
asir-788	99	8	,	,	PUNCT
asir-788	99	9	the	the	DET
asir-788	99	10	equilibrium	equilibrium	NOUN
asir-788	99	11	at	at	ADP
asir-788	99	12	2p	2p	NUM
asir-788	99	13	is	be	AUX
asir-788	99	14	asymptotically	asymptotically	ADV
asir-788	99	15	stable	stable	ADJ
asir-788	99	16	if	if	SCONJ
asir-788	99	17	0	0	ADP
asir-788	99	18			PROPN
asir-788	99	19			INTJ
asir-788	99	20			PROPN
asir-788	100	1			INTJ
asir-788	100	2			NUM
asir-788	100	3			ADP
asir-788	100	4			NOUN
asir-788	100	5	)	)	PUNCT
asir-788	101	1	(	(	PUNCT
asir-788	101	2	,	,	PUNCT
asir-788	101	3	)	)	PUNCT
asir-788	101	4	(	(	PUNCT
asir-788	101	5	111	111	NUM
asir-788	101	6	1221	1221	NUM
asir-788	101	7	12	12	NUM
asir-788	101	8	222	222	NUM
asir-788	101	9	2	2	NUM
asir-788	101	10	222	222	NUM
asir-788	101	11	req	req	NOUN
asir-788	101	12	kr	kr	PROPN
asir-788	101	13	kr	kr	PROPN
asir-788	101	14	ak	ak	PROPN
asir-788	101	15	dr	dr	PROPN
asir-788	101	16	mineqr	mineqr	PROPN
asir-788	101	17			ADV
asir-788	101	18	and	and	CCONJ
asir-788	101	19	0	0	NUM
asir-788	101	20	)	)	PUNCT
asir-788	101	21	(	(	PUNCT
asir-788	101	22	111	111	NUM
asir-788	101	23			SYM
asir-788	101	24	eqr	eqr	PROPN
asir-788	101	25	(	(	PUNCT
asir-788	101	26	18	18	NUM
asir-788	101	27	)	)	PUNCT
asir-788	101	28	at	at	ADP
asir-788	101	29	)	)	PUNCT
asir-788	101	30	0,0	0,0	NOUN
asir-788	101	31	)	)	PUNCT
asir-788	101	32	,	,	PUNCT
asir-788	101	33	(	(	PUNCT
asir-788	101	34	(	(	PUNCT
asir-788	101	35	111	111	NUM
asir-788	101	36	1	1	NUM
asir-788	101	37	1	1	NUM
asir-788	101	38	3	3	NUM
asir-788	101	39	eqr	eqr	NOUN
asir-788	101	40	r	r	NOUN
asir-788	101	41	k	k	NOUN
asir-788	102	1	p	p	X
asir-788	102	2			VERB
asir-788	102	3	the	the	DET
asir-788	102	4	jacobian	jacobian	ADJ
asir-788	102	5	matrix	matrix	NOUN
asir-788	102	6	(	(	PUNCT
asir-788	102	7	15	15	NUM
asir-788	102	8	)	)	PUNCT
asir-788	102	9	reduces	reduce	VERB
asir-788	102	10	to	to	ADP
asir-788	102	11			NOUN
asir-788	102	12			PROPN
asir-788	102	13			PROPN
asir-788	103	1			NOUN
asir-788	103	2			PUNCT
asir-788	104	1			NOUN
asir-788	104	2			PROPN
asir-788	104	3			PROPN
asir-788	104	4			X
asir-788	104	5			NOUN
asir-788	104	6			NOUN
asir-788	104	7			NOUN
asir-788	104	8			NOUN
asir-788	104	9			NOUN
asir-788	104	10			NOUN
asir-788	104	11			NOUN
asir-788	104	12			NOUN
asir-788	104	13			PROPN
asir-788	104	14			NOUN
asir-788	104	15			PROPN
asir-788	104	16			PROPN
asir-788	104	17			NUM
asir-788	104	18	deqr	deqr	NOUN
asir-788	104	19	r	r	NOUN
asir-788	104	20	ka	ka	PROPN
asir-788	104	21	eqeqr	eqeqr	PROPN
asir-788	104	22	rk	rk	PROPN
asir-788	104	23	k	k	NOUN
asir-788	104	24	r	r	NOUN
asir-788	104	25	eqr	eqr	PROPN
asir-788	104	26	r	r	PROPN
asir-788	104	27	ka	ka	PROPN
asir-788	104	28	eqreqr	eqreqr	PROPN
asir-788	104	29	j	j	PROPN
asir-788	104	30	)	)	PUNCT
asir-788	104	31	(	(	PUNCT
asir-788	104	32	00	00	NUM
asir-788	104	33	0))(1(0	0))(1(0	NUM
asir-788	104	34	)	)	PUNCT
asir-788	104	35	(	(	PUNCT
asir-788	104	36	)	)	PUNCT
asir-788	104	37	(	(	PUNCT
asir-788	104	38	)	)	PUNCT
asir-788	104	39	(	(	PUNCT
asir-788	104	40	111	111	NUM
asir-788	104	41	1	1	NUM
asir-788	104	42	111	111	NUM
asir-788	104	43	22111	22111	NUM
asir-788	104	44	12	12	NUM
asir-788	104	45	121	121	NUM
asir-788	104	46	2	2	NUM
asir-788	104	47	111	111	NUM
asir-788	104	48	1	1	NUM
asir-788	104	49	11	11	NUM
asir-788	104	50	11112111	11112111	NUM
asir-788	104	51	3	3	NUM
asir-788	104	52			PROPN
asir-788	104	53			NOUN
asir-788	104	54			PRON
asir-788	104	55	whose	whose	DET
asir-788	104	56	eigenvalues	eigenvalue	NOUN
asir-788	104	57	are	be	AUX
asir-788	104	58	,	,	PUNCT
asir-788	104	59	0	0	NUM
asir-788	104	60	)	)	PUNCT
asir-788	104	61	(	(	PUNCT
asir-788	104	62	111	111	NUM
asir-788	104	63	1	1	NUM
asir-788	104	64	3	3	NUM
asir-788	104	65			CCONJ
asir-788	104	66	eqr	eqr	NOUN
asir-788	104	67	,	,	PUNCT
asir-788	104	68	)	)	PUNCT
asir-788	104	69	(	(	PUNCT
asir-788	104	70	)	)	PUNCT
asir-788	104	71	(	(	PUNCT
asir-788	104	72	11121	11121	NUM
asir-788	104	73	21	21	NUM
asir-788	104	74	12	12	NUM
asir-788	104	75	222	222	NUM
asir-788	104	76	2	2	NUM
asir-788	104	77	3	3	NUM
asir-788	104	78	eqr	eqr	NOUN
asir-788	104	79	kr	kr	PROPN
asir-788	104	80	kr	kr	PROPN
asir-788	104	81	eqr	eqr	PROPN
asir-788	104	82			PROPN
asir-788	104	83			NOUN
asir-788	104	84	,	,	PUNCT
asir-788	104	85	deqra	deqra	NOUN
asir-788	104	86	r	r	PROPN
asir-788	104	87	k	k	PROPN
asir-788	104	88			PUNCT
asir-788	104	89	)	)	PUNCT
asir-788	105	1	(	(	PUNCT
asir-788	105	2	1111	1111	NUM
asir-788	105	3	1	1	NUM
asir-788	105	4	113	113	NUM
asir-788	105	5	3	3	NUM
asir-788	105	6			PROPN
asir-788	105	7			NOUN
asir-788	105	8	.	.	PUNCT
asir-788	106	1	thus	thus	ADV
asir-788	106	2	the	the	DET
asir-788	106	3	eigenvalues	eigenvalue	NOUN
asir-788	106	4	are	be	AUX
asir-788	106	5	negative	negative	ADJ
asir-788	106	6	real	real	ADJ
asir-788	106	7	numbers	number	NOUN
asir-788	106	8	that	that	PRON
asir-788	106	9	is	be	AUX
asir-788	106	10	the	the	DET
asir-788	106	11	equilibrium	equilibrium	NOUN
asir-788	106	12	at	at	ADP
asir-788	106	13	3p	3p	NUM
asir-788	106	14	is	be	AUX
asir-788	106	15	asymptotically	asymptotically	ADV
asir-788	106	16	stable	stable	ADJ
asir-788	106	17	if	if	SCONJ
asir-788	106	18			PROPN
asir-788	106	19			PROPN
asir-788	106	20			X
asir-788	106	21			INTJ
asir-788	106	22			NUM
asir-788	106	23			NOUN
asir-788	106	24			PUNCT
asir-788	106	25	)	)	PUNCT
asir-788	106	26	(	(	PUNCT
asir-788	106	27	,	,	PUNCT
asir-788	106	28	)	)	PUNCT
asir-788	106	29	(	(	PUNCT
asir-788	106	30	0	0	NUM
asir-788	106	31	222	222	NUM
asir-788	106	32	2112	2112	NUM
asir-788	106	33	21	21	NUM
asir-788	106	34	111	111	NUM
asir-788	106	35	1	1	NUM
asir-788	106	36	111	111	NUM
asir-788	106	37	req	req	NOUN
asir-788	106	38	kr	kr	PROPN
asir-788	106	39	kr	kr	PROPN
asir-788	106	40	ak	ak	PROPN
asir-788	106	41	dr	dr	PROPN
asir-788	106	42	mineqr	mineqr	PROPN
asir-788	106	43			ADV
asir-788	106	44	and	and	CCONJ
asir-788	106	45	0	0	NUM
asir-788	106	46	)	)	PUNCT
asir-788	106	47	(	(	PUNCT
asir-788	106	48	222	222	NUM
asir-788	106	49			SYM
asir-788	106	50	eqr	eqr	NOUN
asir-788	106	51	.	.	PUNCT
asir-788	107	1	(	(	PUNCT
asir-788	107	2	19	19	NUM
asir-788	107	3	)	)	PUNCT
asir-788	107	4	at	at	ADP
asir-788	107	5	)	)	PUNCT
asir-788	107	6	)	)	PUNCT
asir-788	108	1	1(,0	1(,0	PROPN
asir-788	108	2	,	,	PUNCT
asir-788	108	3	(	(	PUNCT
asir-788	108	4	1	1	NUM
asir-788	108	5	11	11	NUM
asir-788	108	6	1111	1111	NUM
asir-788	108	7	1	1	NUM
asir-788	108	8	11	11	NUM
asir-788	108	9	4	4	NUM
asir-788	108	10	a	a	DET
asir-788	108	11	eq	eq	NOUN
asir-788	108	12	ak	ak	PROPN
asir-788	108	13	d	d	PROPN
asir-788	108	14	a	a	DET
asir-788	108	15	r	r	NOUN
asir-788	108	16	a	a	DET
asir-788	108	17	d	d	X
asir-788	108	18	p	p	X
asir-788	108	19			NUM
asir-788	108	20			NOUN
asir-788	108	21	)	)	PUNCT
asir-788	108	22	,	,	PUNCT
asir-788	108	23	0	0	NUM
asir-788	108	24	,	,	PUNCT
asir-788	108	25	(	(	PUNCT
asir-788	108	26	444	444	NUM
asir-788	108	27	zxp	zxp	NOUN
asir-788	108	28	,	,	PUNCT
asir-788	108	29	say	say	INTJ
asir-788	108	30	,	,	PUNCT
asir-788	108	31	the	the	DET
asir-788	108	32	jacobian	jacobian	ADJ
asir-788	108	33	matrix	matrix	NOUN
asir-788	108	34	(	(	PUNCT
asir-788	108	35	15	15	NUM
asir-788	108	36	)	)	PUNCT
asir-788	108	37	becomes	become	VERB
asir-788	108	38			NOUN
asir-788	108	39			NOUN
asir-788	109	1			PUNCT
asir-788	109	2			NOUN
asir-788	110	1			PUNCT
asir-788	110	2			NOUN
asir-788	110	3			PROPN
asir-788	110	4			PROPN
asir-788	110	5			X
asir-788	110	6			NOUN
asir-788	110	7			NOUN
asir-788	110	8			NOUN
asir-788	110	9			NOUN
asir-788	110	10			NOUN
asir-788	110	11			NOUN
asir-788	110	12			NOUN
asir-788	110	13			VERB
asir-788	110	14			PROPN
asir-788	110	15			PROPN
asir-788	110	16			NOUN
asir-788	110	17			PROPN
asir-788	110	18			PUNCT
asir-788	111	1			NUM
asir-788	111	2	0	0	NUM
asir-788	111	3	0)()1(0	0)()1(0	NUM
asir-788	111	4	422411	422411	NUM
asir-788	112	1	2	2	NUM
asir-788	112	2	111	111	NUM
asir-788	112	3	1	1	NUM
asir-788	112	4	1	1	NUM
asir-788	112	5	111	111	NUM
asir-788	112	6	222	222	NUM
asir-788	112	7	112	112	NUM
asir-788	112	8	21	21	NUM
asir-788	112	9	2	2	NUM
asir-788	112	10	1111	1111	NUM
asir-788	112	11	121	121	NUM
asir-788	112	12	111	111	NUM
asir-788	112	13	1	1	NUM
asir-788	112	14	4	4	NUM
asir-788	112	15	zaza	zaza	PROPN
asir-788	112	16	ak	ak	PROPN
asir-788	112	17	dr	dr	PROPN
asir-788	112	18	a	a	DET
asir-788	112	19	eqr	eqr	PROPN
asir-788	112	20	aeq	aeq	PROPN
asir-788	112	21	ak	ak	PROPN
asir-788	112	22	d	d	PROPN
asir-788	112	23	r	r	PROPN
asir-788	112	24	d	d	PROPN
asir-788	112	25	ak	ak	PROPN
asir-788	112	26	dr	dr	PROPN
asir-788	112	27	ak	ak	PROPN
asir-788	112	28	dr	dr	PROPN
asir-788	112	29	j	j	PROPN
asir-788	112	30			ADJ
asir-788	112	31			ADJ
asir-788	112	32			NOUN
asir-788	112	33			ADJ
asir-788	112	34			X
asir-788	112	35			PROPN
asir-788	112	36	.	.	PUNCT
asir-788	113	1	one	one	NUM
asir-788	113	2	of	of	ADP
asir-788	113	3	whose	whose	DET
asir-788	113	4	eigenvalues	eigenvalue	NOUN
asir-788	113	5	is	be	AUX
asir-788	113	6	)	)	PUNCT
asir-788	113	7	(	(	PUNCT
asir-788	113	8	)	)	PUNCT
asir-788	113	9	1	1	NUM
asir-788	113	10	(	(	PUNCT
asir-788	113	11	2	2	NUM
asir-788	113	12	111	111	NUM
asir-788	113	13	1	1	NUM
asir-788	113	14	1	1	NUM
asir-788	113	15	111	111	NUM
asir-788	113	16	222	222	NUM
asir-788	113	17	112	112	NUM
asir-788	113	18	21	21	NUM
asir-788	113	19	2	2	NUM
asir-788	113	20	1	1	NUM
asir-788	113	21	4	4	NUM
asir-788	113	22	ak	ak	PROPN
asir-788	113	23	dr	dr	PROPN
asir-788	113	24	a	a	DET
asir-788	113	25	eqr	eqr	PROPN
asir-788	113	26	aeq	aeq	PROPN
asir-788	113	27	ak	ak	PROPN
asir-788	113	28	d	d	PROPN
asir-788	113	29	r	r	NOUN
asir-788	113	30			NOUN
asir-788	113	31			X
asir-788	113	32			VERB
asir-788	113	33			NOUN
asir-788	113	34			PROPN
asir-788	113	35			NOUN
asir-788	113	36	and	and	CCONJ
asir-788	113	37	other	other	ADJ
asir-788	113	38	two	two	NUM
asir-788	113	39	eigenvalues	eigenvalue	NOUN
asir-788	113	40	are	be	AUX
asir-788	113	41	the	the	DET
asir-788	113	42	roots	root	NOUN
asir-788	113	43	of	of	ADP
asir-788	113	44	041	041	NUM
asir-788	113	45	111	111	NUM
asir-788	113	46	12	12	NUM
asir-788	113	47			PROPN
asir-788	113	48	dza	dza	PROPN
asir-788	113	49	ak	ak	PROPN
asir-788	113	50	dr	dr	PROPN
asir-788	113	51			PROPN
asir-788	113	52			PROPN
asir-788	113	53			NOUN
asir-788	113	54	.	.	PUNCT
asir-788	114	1	the	the	DET
asir-788	114	2	sum	sum	NOUN
asir-788	114	3	of	of	ADP
asir-788	114	4	whose	whose	DET
asir-788	114	5	roots	root	NOUN
asir-788	114	6	=	=	SYM
asir-788	114	7	0	0	NUM
asir-788	114	8	111	111	NUM
asir-788	114	9	1	1	NUM
asir-788	114	10			SYM
asir-788	114	11	ak	ak	PROPN
asir-788	114	12	dr	dr	PROPN
asir-788	114	13			PROPN
asir-788	114	14	,	,	PUNCT
asir-788	114	15	and	and	CCONJ
asir-788	114	16	product	product	NOUN
asir-788	114	17	of	of	ADP
asir-788	114	18	the	the	DET
asir-788	114	19	roots	root	NOUN
asir-788	114	20	=	=	PUNCT
asir-788	114	21	041	041	NUM
asir-788	114	22	dza	dza	NOUN
asir-788	114	23	under	under	ADP
asir-788	114	24	the	the	DET
asir-788	114	25	condition	condition	NOUN
asir-788	114	26	of	of	ADP
asir-788	114	27	existence	existence	NOUN
asir-788	114	28	of	of	ADP
asir-788	114	29	4p	4p	NOUN
asir-788	114	30	.	.	PUNCT
asir-788	115	1	thus	thus	ADV
asir-788	115	2	by	by	ADP
asir-788	115	3	routh	routh	PROPN
asir-788	115	4	-	-	PUNCT
asir-788	115	5	hurwitz	hurwitz	PROPN
asir-788	115	6	rule	rule	NOUN
asir-788	115	7	the	the	DET
asir-788	115	8	equilibrium	equilibrium	NOUN
asir-788	115	9	at	at	ADP
asir-788	115	10	4p	4p	NOUN
asir-788	115	11	is	be	AUX
asir-788	115	12	asymptotically	asymptotically	ADV
asir-788	115	13	stable	stable	ADJ
asir-788	115	14	if	if	SCONJ
asir-788	115	15	01	01	NUM
asir-788	115	16	4	4	NUM
asir-788	115	17			PROPN
asir-788	115	18	when	when	SCONJ
asir-788	115	19	the	the	DET
asir-788	115	20	equilibrium	equilibrium	NOUN
asir-788	115	21	at	at	ADP
asir-788	115	22	4p	4p	NOUN
asir-788	115	23	exists	exist	NOUN
asir-788	115	24	.	.	PUNCT
asir-788	116	1	thus	thus	ADV
asir-788	116	2	4p	4p	NOUN
asir-788	116	3	is	be	AUX
asir-788	116	4	a	a	DET
asir-788	116	5	stable	stable	ADJ
asir-788	116	6	equilibrium	equilibrium	NOUN
asir-788	116	7	if	if	SCONJ
asir-788	116	8	,	,	PUNCT
asir-788	116	9	)	)	PUNCT
asir-788	116	10	(	(	PUNCT
asir-788	116	11	)	)	PUNCT
asir-788	116	12	(	(	PUNCT
asir-788	116	13	111	111	NUM
asir-788	116	14	1	1	NUM
asir-788	116	15	111	111	NUM
asir-788	116	16	1	1	NUM
asir-788	116	17	2	2	NUM
asir-788	116	18	112	112	NUM
asir-788	116	19	212	212	NUM
asir-788	116	20	222	222	NUM
asir-788	116	21	ak	ak	PROPN
asir-788	116	22	dr	dr	PROPN
asir-788	116	23	eqr	eqr	PROPN
asir-788	116	24	a	a	DET
asir-788	116	25	a	a	DET
asir-788	116	26	ak	ak	PROPN
asir-788	116	27	dr	dr	PROPN
asir-788	116	28	eqr	eqr	PROPN
asir-788	116	29			VERB
asir-788	116	30			NOUN
asir-788	116	31			PRON
asir-788	116	32	where	where	SCONJ
asir-788	116	33	111	111	NUM
asir-788	116	34	1	1	NUM
asir-788	116	35	111	111	NUM
asir-788	116	36	)	)	PUNCT
asir-788	116	37	(	(	PUNCT
asir-788	116	38	ak	ak	PROPN
asir-788	116	39	dr	dr	PROPN
asir-788	116	40	eqr	eqr	PROPN
asir-788	116	41			PROPN
asir-788	116	42			PROPN
asir-788	116	43	(	(	PUNCT
asir-788	116	44	20	20	NUM
asir-788	116	45	)	)	PUNCT
asir-788	116	46	at	at	ADP
asir-788	116	47	the	the	DET
asir-788	116	48	equilibrium	equilibrium	NOUN
asir-788	116	49	point	point	NOUN
asir-788	116	50	)	)	PUNCT
asir-788	116	51	0	0	NUM
asir-788	116	52	,	,	PUNCT
asir-788	116	53	,	,	PUNCT
asir-788	116	54	(	(	PUNCT
asir-788	116	55	215	215	NUM
asir-788	116	56	nnp	nnp	NOUN
asir-788	116	57	where	where	SCONJ
asir-788	116	58	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-788	116	59	applied	apply	VERB
asir-788	116	60	science	science	NOUN
asir-788	116	61	and	and	CCONJ
asir-788	116	62	innovative	innovative	ADJ
asir-788	116	63	research	research	NOUN
asir-788	116	64	vol	vol	NOUN
asir-788	116	65	.	.	PROPN
asir-788	117	1	1	1	NUM
asir-788	117	2	,	,	PUNCT
asir-788	117	3	no	no	INTJ
asir-788	117	4	.	.	NOUN
asir-788	117	5	1	1	NUM
asir-788	117	6	,	,	PUNCT
asir-788	117	7	2017	2017	NUM
asir-788	117	8	7	7	NUM
asir-788	117	9	published	publish	VERB
asir-788	117	10	by	by	ADP
asir-788	117	11	scholink	scholink	PROPN
asir-788	117	12	inc	inc	PROPN
asir-788	117	13	.	.	PROPN
asir-788	117	14	)	)	PUNCT
asir-788	118	1	]	]	PUNCT
asir-788	118	2	(	(	PUNCT
asir-788	118	3	)	)	PUNCT
asir-788	118	4	(	(	PUNCT
asir-788	118	5	[	[	PUNCT
asir-788	118	6	1	1	NUM
asir-788	118	7	1	1	NUM
asir-788	118	8	22212	22212	NUM
asir-788	118	9	2	2	NUM
asir-788	118	10	2	2	NUM
asir-788	118	11	111	111	NUM
asir-788	118	12	1	1	NUM
asir-788	118	13	1	1	NUM
asir-788	118	14	2112	2112	NUM
asir-788	118	15	1	1	NUM
asir-788	118	16	eqr	eqr	NOUN
asir-788	118	17	r	r	NOUN
asir-788	118	18	k	k	X
asir-788	118	19	eqr	eqr	PROPN
asir-788	118	20	r	r	PROPN
asir-788	118	21	k	k	PROPN
asir-788	118	22	n	n	PROPN
asir-788	118	23			VERB
asir-788	118	24			VERB
asir-788	118	25			PRON
asir-788	118	26			NOUN
asir-788	118	27			ADP
asir-788	118	28	,	,	PUNCT
asir-788	118	29	)	)	PUNCT
asir-788	118	30	]	]	X
asir-788	118	31	(	(	PUNCT
asir-788	118	32	)	)	PUNCT
asir-788	118	33	(	(	PUNCT
asir-788	118	34	[	[	PUNCT
asir-788	118	35	1	1	NUM
asir-788	118	36	1	1	NUM
asir-788	118	37	222	222	NUM
asir-788	118	38	2	2	NUM
asir-788	118	39	2	2	NUM
asir-788	118	40	11121	11121	NUM
asir-788	118	41	1	1	NUM
asir-788	118	42	1	1	NUM
asir-788	118	43	2112	2112	NUM
asir-788	118	44	2	2	NUM
asir-788	118	45	eqr	eqr	NOUN
asir-788	118	46	r	r	NOUN
asir-788	118	47	k	k	X
asir-788	118	48	eqr	eqr	PROPN
asir-788	118	49	r	r	PROPN
asir-788	118	50	k	k	PROPN
asir-788	118	51	n	n	PROPN
asir-788	118	52			VERB
asir-788	118	53			VERB
asir-788	118	54			PRON
asir-788	118	55			NOUN
asir-788	118	56			PRON
asir-788	118	57	,	,	PUNCT
asir-788	118	58	with	with	ADP
asir-788	118	59	111	111	NUM
asir-788	118	60	eqr	eqr	PROPN
asir-788	118	61			NOUN
asir-788	118	62	>	>	X
asir-788	118	63	0	0	NUM
asir-788	118	64	,	,	PUNCT
asir-788	118	65	222	222	NUM
asir-788	118	66	eqr	eqr	ADJ
asir-788	118	67			NOUN
asir-788	118	68	>	>	X
asir-788	118	69	0	0	PUNCT
asir-788	118	70	and	and	CCONJ
asir-788	118	71	12112	12112	NUM
asir-788	118	72			NOUN
asir-788	118	73	,	,	PUNCT
asir-788	118	74	the	the	DET
asir-788	118	75	jacobian	jacobian	ADJ
asir-788	118	76	matrix	matrix	NOUN
asir-788	118	77	(	(	PUNCT
asir-788	118	78	15	15	NUM
asir-788	118	79	)	)	PUNCT
asir-788	118	80	reduces	reduce	VERB
asir-788	118	81	to	to	ADP
asir-788	118	82			NOUN
asir-788	118	83			PROPN
asir-788	118	84			PROPN
asir-788	119	1			NOUN
asir-788	119	2			PUNCT
asir-788	120	1			NOUN
asir-788	120	2			PROPN
asir-788	120	3			PROPN
asir-788	120	4			X
asir-788	120	5			NOUN
asir-788	120	6			NOUN
asir-788	120	7			NOUN
asir-788	120	8			NOUN
asir-788	120	9			NOUN
asir-788	120	10			NOUN
asir-788	120	11			NOUN
asir-788	120	12			VERB
asir-788	120	13			PROPN
asir-788	120	14			PROPN
asir-788	120	15			NUM
asir-788	120	16			PROPN
asir-788	120	17			NUM
asir-788	120	18	dnana	dnana	ADV
asir-788	120	19	na	na	ADP
asir-788	120	20	k	k	PROPN
asir-788	120	21	nr	nr	PROPN
asir-788	120	22	k	k	PROPN
asir-788	120	23	nr	nr	PROPN
asir-788	120	24	na	na	PROPN
asir-788	120	25	k	k	PROPN
asir-788	120	26	nr	nr	PROPN
asir-788	121	1	n	n	PROPN
asir-788	121	2	k	k	NOUN
asir-788	121	3	r	r	NOUN
asir-788	121	4	j	j	PROPN
asir-788	121	5	222111	222111	NUM
asir-788	121	6	22	22	NUM
asir-788	121	7	2	2	NUM
asir-788	121	8	22	22	NUM
asir-788	121	9	2	2	NUM
asir-788	121	10	2212	2212	NUM
asir-788	121	11	11	11	NUM
asir-788	121	12	1	1	NUM
asir-788	121	13	1121	1121	NUM
asir-788	121	14	1	1	NUM
asir-788	121	15	1	1	NUM
asir-788	121	16	1	1	NUM
asir-788	121	17	5	5	NUM
asir-788	121	18	00	00	NUM
asir-788	121	19			ADJ
asir-788	121	20			NOUN
asir-788	121	21			NOUN
asir-788	121	22	one	one	NUM
asir-788	121	23	of	of	ADP
asir-788	121	24	the	the	DET
asir-788	121	25	eigenvalues	eigenvalue	NOUN
asir-788	121	26	of	of	ADP
asir-788	121	27	5j	5j	NUM
asir-788	121	28	is	be	AUX
asir-788	121	29	dnana	dnana	ADV
asir-788	121	30			PRON
asir-788	121	31	222111	222111	NUM
asir-788	121	32	1	1	NUM
asir-788	121	33	5	5	NUM
asir-788	121	34			NOUN
asir-788	121	35	,	,	PUNCT
asir-788	121	36	and	and	CCONJ
asir-788	121	37	other	other	ADJ
asir-788	121	38	two	two	NUM
asir-788	121	39	are	be	AUX
asir-788	121	40	the	the	DET
asir-788	121	41	roots	root	NOUN
asir-788	121	42	of	of	ADP
asir-788	121	43	the	the	DET
asir-788	121	44	quadratic	quadratic	ADJ
asir-788	121	45	0)1	0)1	PROPN
asir-788	121	46	(	(	PUNCT
asir-788	121	47	)	)	PUNCT
asir-788	121	48	(	(	PUNCT
asir-788	121	49	21	21	NUM
asir-788	121	50	21	21	NUM
asir-788	121	51	21	21	NUM
asir-788	121	52	2112	2112	NUM
asir-788	121	53	2	2	NUM
asir-788	121	54	22	22	NUM
asir-788	121	55	1	1	NUM
asir-788	121	56	112	112	NUM
asir-788	121	57			NUM
asir-788	121	58	nn	nn	INTJ
asir-788	121	59	kk	kk	PROPN
asir-788	121	60	rr	rr	PROPN
asir-788	122	1	k	k	PROPN
asir-788	122	2	nr	nr	PROPN
asir-788	122	3	k	k	PROPN
asir-788	122	4	nr	nr	PROPN
asir-788	122	5			NOUN
asir-788	122	6	.	.	PUNCT
asir-788	123	1	the	the	DET
asir-788	123	2	sum	sum	NOUN
asir-788	123	3	of	of	ADP
asir-788	123	4	whose	whose	DET
asir-788	123	5	roots	root	NOUN
asir-788	123	6	=	=	SYM
asir-788	123	7	0	0	NUM
asir-788	123	8	)	)	PUNCT
asir-788	123	9	(	(	PUNCT
asir-788	123	10	2	2	NUM
asir-788	123	11	22	22	NUM
asir-788	123	12	1	1	NUM
asir-788	123	13	11	11	NUM
asir-788	123	14			VERB
asir-788	123	15	k	k	PROPN
asir-788	123	16	nr	nr	PROPN
asir-788	123	17	k	k	PROPN
asir-788	123	18	nr	nr	PROPN
asir-788	123	19	,	,	PUNCT
asir-788	123	20	and	and	CCONJ
asir-788	123	21	the	the	DET
asir-788	123	22	product	product	NOUN
asir-788	123	23	of	of	ADP
asir-788	123	24	the	the	DET
asir-788	123	25	roots	root	NOUN
asir-788	123	26	=	=	SYM
asir-788	123	27	0)1	0)1	PROPN
asir-788	123	28	(	(	PUNCT
asir-788	123	29	21	21	NUM
asir-788	123	30	21	21	NUM
asir-788	123	31	21	21	NUM
asir-788	123	32	2112	2112	NUM
asir-788	123	33			PROPN
asir-788	123	34	nn	nn	PROPN
asir-788	123	35	kk	kk	PROPN
asir-788	123	36	rr	rr	PROPN
asir-788	123	37			VERB
asir-788	123	38	under	under	ADP
asir-788	123	39	the	the	DET
asir-788	123	40	conditions	condition	NOUN
asir-788	123	41	of	of	ADP
asir-788	123	42	existence	existence	NOUN
asir-788	123	43	of	of	ADP
asir-788	123	44	5p	5p	NUM
asir-788	123	45	.	.	PUNCT
asir-788	124	1	thus	thus	ADV
asir-788	124	2	by	by	ADP
asir-788	124	3	routh	routh	PROPN
asir-788	124	4	-	-	PUNCT
asir-788	124	5	hurwitz	hurwitz	PROPN
asir-788	124	6	rule	rule	NOUN
asir-788	124	7	the	the	DET
asir-788	124	8	equilibrium	equilibrium	NOUN
asir-788	124	9	point	point	NOUN
asir-788	124	10	5p	5p	NUM
asir-788	124	11	is	be	AUX
asir-788	124	12	asymptotically	asymptotically	ADV
asir-788	124	13	stable	stable	ADJ
asir-788	124	14	if	if	SCONJ
asir-788	124	15	0222111	0222111	NUM
asir-788	124	16			VERB
asir-788	124	17	dnana	dnana	ADJ
asir-788	124	18			NOUN
asir-788	124	19	,	,	PUNCT
asir-788	124	20	that	that	PRON
asir-788	124	21	is	be	AUX
asir-788	124	22	if	if	SCONJ
asir-788	124	23	)	)	PUNCT
asir-788	124	24	1	1	NUM
asir-788	124	25	(	(	PUNCT
asir-788	124	26	)	)	PUNCT
asir-788	124	27	)	)	PUNCT
asir-788	124	28	(	(	PUNCT
asir-788	124	29	(	(	PUNCT
asir-788	124	30	)	)	PUNCT
asir-788	124	31	)	)	PUNCT
asir-788	124	32	(	(	PUNCT
asir-788	124	33	(	(	PUNCT
asir-788	124	34	2112	2112	NUM
asir-788	124	35	2	2	NUM
asir-788	124	36	222	222	NUM
asir-788	124	37	12	12	NUM
asir-788	124	38	2	2	NUM
asir-788	124	39	211	211	NUM
asir-788	124	40	22221	22221	NUM
asir-788	124	41	1	1	NUM
asir-788	124	42	122	122	NUM
asir-788	124	43	1	1	NUM
asir-788	124	44	111	111	NUM
asir-788	124	45	111	111	NUM
asir-788	124	46			NUM
asir-788	124	47			NOUN
asir-788	124	48			NOUN
asir-788	124	49			PROPN
asir-788	124	50			NOUN
asir-788	124	51			ADJ
asir-788	124	52			PROPN
asir-788	124	53			PROPN
asir-788	124	54			PRON
asir-788	124	55			NOUN
asir-788	124	56			NOUN
asir-788	124	57			PROPN
asir-788	124	58			NOUN
asir-788	124	59	d	d	X
asir-788	124	60	r	r	NOUN
asir-788	124	61	ka	ka	PROPN
asir-788	124	62	r	r	PROPN
asir-788	124	63	ka	ka	PROPN
asir-788	124	64	eqr	eqr	PROPN
asir-788	124	65	r	r	PROPN
asir-788	124	66	ka	ka	PROPN
asir-788	124	67	r	r	PROPN
asir-788	124	68	ka	ka	PROPN
asir-788	124	69	eqr	eqr	PROPN
asir-788	124	70	(	(	PUNCT
asir-788	124	71	21	21	NUM
asir-788	124	72	)	)	PUNCT
asir-788	124	73	together	together	ADV
asir-788	124	74	with	with	ADP
asir-788	124	75	the	the	DET
asir-788	124	76	condition	condition	NOUN
asir-788	124	77	of	of	ADP
asir-788	124	78	existence	existence	NOUN
asir-788	124	79	of	of	ADP
asir-788	124	80	5p	5p	NUM
asir-788	124	81	.	.	PUNCT
asir-788	125	1	the	the	DET
asir-788	125	2	community	community	NOUN
asir-788	125	3	matrix	matrix	NOUN
asir-788	125	4	at	at	ADP
asir-788	125	5	)	)	PUNCT
asir-788	125	6	,	,	PUNCT
asir-788	125	7	,	,	PUNCT
asir-788	125	8	(	(	PUNCT
asir-788	125	9	*	*	PUNCT
asir-788	125	10	3	3	NUM
asir-788	125	11	*	*	SYM
asir-788	125	12	2	2	NUM
asir-788	125	13	*	*	SYM
asir-788	125	14	16	16	NUM
asir-788	125	15	nnnp	nnnp	ADV
asir-788	125	16	is	be	AUX
asir-788	125	17			ADJ
asir-788	125	18			PROPN
asir-788	125	19			PUNCT
asir-788	126	1			NOUN
asir-788	126	2			PUNCT
asir-788	127	1			NOUN
asir-788	127	2			PROPN
asir-788	127	3			PROPN
asir-788	127	4			X
asir-788	127	5			NOUN
asir-788	127	6			NOUN
asir-788	127	7			NOUN
asir-788	127	8			NOUN
asir-788	127	9			NOUN
asir-788	127	10			NOUN
asir-788	127	11			NOUN
asir-788	127	12			X
asir-788	127	13			PROPN
asir-788	127	14			NOUN
asir-788	127	15			PROPN
asir-788	127	16			NOUN
asir-788	127	17	0	0	NUM
asir-788	127	18	*	*	SYM
asir-788	127	19	322	322	NUM
asir-788	127	20	*	*	SYM
asir-788	127	21	311	311	NUM
asir-788	127	22	*	*	SYM
asir-788	127	23	22	22	NUM
asir-788	127	24	2	2	NUM
asir-788	127	25	*	*	SYM
asir-788	127	26	22	22	NUM
asir-788	127	27	2	2	NUM
asir-788	127	28	*	*	SYM
asir-788	127	29	2212	2212	NUM
asir-788	127	30	*	*	PUNCT
asir-788	127	31	11	11	NUM
asir-788	127	32	1	1	NUM
asir-788	127	33	*	*	SYM
asir-788	127	34	1121	1121	NUM
asir-788	127	35	*	*	SYM
asir-788	127	36	1	1	NUM
asir-788	127	37	1	1	NUM
asir-788	127	38	1	1	NUM
asir-788	127	39	6	6	NUM
asir-788	127	40	nana	nana	NOUN
asir-788	127	41	na	na	PROPN
asir-788	128	1	k	k	PROPN
asir-788	128	2	nr	nr	PROPN
asir-788	128	3	k	k	PROPN
asir-788	128	4	nr	nr	PROPN
asir-788	128	5	na	na	PROPN
asir-788	128	6	k	k	PROPN
asir-788	128	7	nr	nr	PROPN
asir-788	128	8	n	n	PROPN
asir-788	128	9	k	k	NOUN
asir-788	128	10	r	r	NOUN
asir-788	128	11	j	j	PROPN
asir-788	128	12			ADJ
asir-788	128	13			NOUN
asir-788	128	14			X
asir-788	128	15	.	.	PUNCT
asir-788	129	1	(	(	PUNCT
asir-788	129	2	22	22	NUM
asir-788	129	3	)	)	PUNCT
asir-788	129	4	the	the	DET
asir-788	129	5	eigenvalues	eigenvalue	NOUN
asir-788	129	6	)	)	PUNCT
asir-788	129	7	3,2,1(6	3,2,1(6	NUM
asir-788	129	8	ii	ii	NOUN
asir-788	129	9	of	of	ADP
asir-788	129	10	6j	6j	NUM
asir-788	129	11	are	be	AUX
asir-788	129	12	the	the	DET
asir-788	129	13	roots	root	NOUN
asir-788	129	14	of	of	ADP
asir-788	129	15	the	the	DET
asir-788	129	16	following	follow	VERB
asir-788	129	17	characteristic	characteristic	ADJ
asir-788	129	18	cubic	cubic	ADJ
asir-788	129	19	0	0	NUM
asir-788	129	20	.	.	PUNCT
asir-788	130	1	66	66	NUM
asir-788	130	2	2	2	NUM
asir-788	130	3	6	6	NUM
asir-788	130	4	3	3	NUM
asir-788	130	5			NOUN
asir-788	130	6	jjadjtracejtrace	jjadjtracejtrace	NOUN
asir-788	130	7			X
asir-788	130	8	by	by	ADP
asir-788	130	9	routh	routh	PROPN
asir-788	130	10	-	-	PUNCT
asir-788	130	11	hurwitz	hurwitz	PROPN
asir-788	130	12	rule	rule	NOUN
asir-788	130	13	,	,	PUNCT
asir-788	130	14	this	this	DET
asir-788	130	15	cubic	cubic	NOUN
asir-788	130	16	has	have	VERB
asir-788	130	17	roots	root	NOUN
asir-788	130	18	with	with	ADP
asir-788	130	19	negative	negative	ADJ
asir-788	130	20	real	real	ADJ
asir-788	130	21	parts	part	NOUN
asir-788	130	22	if	if	SCONJ
asir-788	130	23	0,0	0,0	NOUN
asir-788	130	24	66	66	NUM
asir-788	130	25			NUM
asir-788	130	26	jjtrace	jjtrace	NOUN
asir-788	130	27	,	,	PUNCT
asir-788	130	28	and	and	CCONJ
asir-788	130	29	666	666	NUM
asir-788	130	30	..	..	PUNCT
asir-788	130	31	jjadjtracejtrace	jjadjtracejtrace	NOUN
asir-788	130	32			PROPN
asir-788	130	33	.	.	PUNCT
asir-788	131	1	now	now	ADV
asir-788	131	2	,	,	PUNCT
asir-788	131	3			VERB
asir-788	131	4	6j	6j	NUM
asir-788	131	5	)	)	PUNCT
asir-788	132	1	(	(	PUNCT
asir-788	132	2	*	*	PUNCT
asir-788	132	3	3	3	NUM
asir-788	132	4	*	*	SYM
asir-788	132	5	2	2	NUM
asir-788	132	6	*	*	SYM
asir-788	132	7	1	1	NUM
asir-788	132	8	nnn	nnn	PROPN
asir-788	132	9	0	0	NUM
asir-788	132	10	)	)	PUNCT
asir-788	132	11	(	(	PUNCT
asir-788	132	12	)	)	PUNCT
asir-788	132	13	(	(	PUNCT
asir-788	132	14	1	1	NUM
asir-788	132	15	2	2	NUM
asir-788	132	16	122112	122112	NUM
asir-788	132	17	2	2	NUM
asir-788	132	18	2	2	NUM
asir-788	132	19	12112	12112	NUM
asir-788	132	20	2	2	NUM
asir-788	132	21	22	22	NUM
asir-788	132	22	1	1	NUM
asir-788	132	23	1	1	NUM
asir-788	132	24			PART
asir-788	132	25			PROPN
asir-788	132	26			X
asir-788	132	27			NOUN
asir-788	132	28			VERB
asir-788	132	29			PROPN
asir-788	132	30			PROPN
asir-788	132	31			NOUN
asir-788	132	32	aaa	aaa	NOUN
asir-788	132	33	k	k	NOUN
asir-788	132	34	r	r	NOUN
asir-788	132	35	aaa	aaa	NOUN
asir-788	132	36	k	k	NOUN
asir-788	132	37	r	r	NOUN
asir-788	132	38	,	,	PUNCT
asir-788	132	39			NUM
asir-788	132	40	6jtrace	6jtrace	NUM
asir-788	132	41	0	0	NUM
asir-788	132	42	)	)	PUNCT
asir-788	132	43	(	(	PUNCT
asir-788	132	44	2	2	NUM
asir-788	132	45	*	*	SYM
asir-788	132	46	22	22	NUM
asir-788	132	47	1	1	NUM
asir-788	132	48	*	*	SYM
asir-788	132	49	11	11	NUM
asir-788	132	50			PROPN
asir-788	132	51	k	k	PROPN
asir-788	132	52	nr	nr	PROPN
asir-788	132	53	k	k	PROPN
asir-788	132	54	nr	nr	PROPN
asir-788	132	55	,	,	PUNCT
asir-788	132	56	and	and	CCONJ
asir-788	132	57			PROPN
asir-788	133	1	6.jadjtrace	6.jadjtrace	NUM
asir-788	133	2	*	*	SYM
asir-788	133	3	2	2	NUM
asir-788	133	4	*	*	SYM
asir-788	133	5	12112	12112	NUM
asir-788	133	6	21	21	NUM
asir-788	133	7	212	212	NUM
asir-788	133	8	11	11	NUM
asir-788	133	9	*	*	SYM
asir-788	133	10	3	3	NUM
asir-788	133	11	*	*	SYM
asir-788	133	12	1	1	NUM
asir-788	133	13	2	2	NUM
asir-788	133	14	22	22	NUM
asir-788	133	15	*	*	SYM
asir-788	133	16	3	3	NUM
asir-788	133	17	*	*	SYM
asir-788	133	18	2	2	NUM
asir-788	133	19	)	)	SYM
asir-788	133	20	1	1	NUM
asir-788	133	21	(	(	PUNCT
asir-788	133	22	nn	nn	X
asir-788	133	23	kk	kk	PROPN
asir-788	133	24	rr	rr	PROPN
asir-788	133	25	annann	annann	PROPN
asir-788	133	26			PROPN
asir-788	133	27			PROPN
asir-788	133	28	.	.	PUNCT
asir-788	134	1	therefore	therefore	ADV
asir-788	134	2	the	the	DET
asir-788	134	3	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-788	134	4	applied	apply	VERB
asir-788	134	5	science	science	NOUN
asir-788	134	6	and	and	CCONJ
asir-788	134	7	innovative	innovative	ADJ
asir-788	134	8	research	research	NOUN
asir-788	134	9	vol	vol	NOUN
asir-788	134	10	.	.	PROPN
asir-788	135	1	1	1	NUM
asir-788	135	2	,	,	PUNCT
asir-788	135	3	no	no	INTJ
asir-788	135	4	.	.	NOUN
asir-788	135	5	1	1	NUM
asir-788	135	6	,	,	PUNCT
asir-788	135	7	2017	2017	NUM
asir-788	135	8	8	8	NUM
asir-788	135	9	published	publish	VERB
asir-788	135	10	by	by	ADP
asir-788	135	11	scholink	scholink	PROPN
asir-788	135	12	inc	inc	PROPN
asir-788	135	13	.	.	PROPN
asir-788	135	14	interior	interior	ADJ
asir-788	135	15	equilibrium	equilibrium	NOUN
asir-788	135	16	at	at	ADP
asir-788	135	17	)	)	PUNCT
asir-788	135	18	,	,	PUNCT
asir-788	135	19	,	,	PUNCT
asir-788	135	20	(	(	PUNCT
asir-788	135	21	*	*	PUNCT
asir-788	135	22	3	3	NUM
asir-788	135	23	*	*	SYM
asir-788	135	24	2	2	NUM
asir-788	135	25	*	*	SYM
asir-788	135	26	16	16	NUM
asir-788	135	27	nnnp	nnnp	ADV
asir-788	135	28	is	be	AUX
asir-788	135	29	asymptotically	asymptotically	ADV
asir-788	135	30	stable	stable	ADJ
asir-788	135	31	if	if	SCONJ
asir-788	135	32			NUM
asir-788	135	33			PROPN
asir-788	135	34			PROPN
asir-788	135	35	,	,	PUNCT
asir-788	135	36	that	that	PRON
asir-788	135	37	is	be	AUX
asir-788	135	38	if	if	SCONJ
asir-788	135	39	)	)	PUNCT
asir-788	135	40	(	(	PUNCT
asir-788	135	41	)	)	PUNCT
asir-788	135	42	1	1	NUM
asir-788	135	43	(	(	PUNCT
asir-788	135	44	)	)	PUNCT
asir-788	135	45	(	(	PUNCT
asir-788	135	46	2	2	NUM
asir-788	135	47	2122	2122	NUM
asir-788	135	48	1	1	NUM
asir-788	135	49	1211	1211	NUM
asir-788	135	50	21	21	NUM
asir-788	135	51	*	*	SYM
asir-788	135	52	3	3	NUM
asir-788	135	53	*	*	SYM
asir-788	135	54	2	2	NUM
asir-788	136	1	*	*	SYM
asir-788	136	2	1	1	NUM
asir-788	136	3	*	*	SYM
asir-788	136	4	2	2	NUM
asir-788	136	5	*	*	SYM
asir-788	136	6	12112	12112	NUM
asir-788	136	7	21	21	NUM
asir-788	136	8	21	21	NUM
asir-788	136	9	*	*	SYM
asir-788	136	10	2	2	NUM
asir-788	136	11	2	2	NUM
asir-788	136	12	2	2	NUM
asir-788	136	13	*	*	SYM
asir-788	136	14	1	1	NUM
asir-788	136	15	1	1	NUM
asir-788	136	16	1	1	NUM
asir-788	136	17	*	*	SYM
asir-788	136	18	3	3	NUM
asir-788	137	1	*	*	SYM
asir-788	137	2	2	2	NUM
asir-788	137	3	2	2	NUM
asir-788	137	4	22	22	NUM
asir-788	137	5	2	2	NUM
asir-788	137	6	2	2	NUM
asir-788	137	7	*	*	SYM
asir-788	137	8	3	3	NUM
asir-788	137	9	*	*	SYM
asir-788	137	10	1	1	NUM
asir-788	137	11	2	2	NUM
asir-788	137	12	11	11	NUM
asir-788	137	13	1	1	NUM
asir-788	137	14	1	1	NUM
asir-788	137	15	22	22	NUM
asir-788	137	16	k	k	NOUN
asir-788	137	17	r	r	NOUN
asir-788	137	18	k	k	NOUN
asir-788	137	19	r	r	NOUN
asir-788	137	20	aannn	aannn	NOUN
asir-788	137	21	nn	nn	PROPN
asir-788	137	22	kk	kk	PROPN
asir-788	137	23	rr	rr	PROPN
asir-788	137	24	n	n	ADV
asir-788	137	25	k	k	PROPN
asir-788	137	26	r	r	NOUN
asir-788	137	27	n	n	PROPN
asir-788	137	28	k	k	NOUN
asir-788	137	29	r	r	NOUN
asir-788	137	30	nna	nna	NOUN
asir-788	137	31	k	k	PROPN
asir-788	137	32	r	r	NOUN
asir-788	137	33	nna	nna	NOUN
asir-788	137	34	k	k	PROPN
asir-788	137	35	r	r	NOUN
asir-788	137	36			PUNCT
asir-788	137	37			NOUN
asir-788	137	38			PROPN
asir-788	137	39			NOUN
asir-788	137	40	(	(	PUNCT
asir-788	137	41	23	23	NUM
asir-788	137	42	)	)	PUNCT
asir-788	137	43	5	5	NUM
asir-788	137	44	.	.	X
asir-788	137	45	optimal	optimal	ADJ
asir-788	137	46	harvesting	harvesting	NOUN
asir-788	137	47	policy	policy	NOUN
asir-788	137	48	once	once	SCONJ
asir-788	137	49	the	the	DET
asir-788	137	50	process	process	NOUN
asir-788	137	51	of	of	ADP
asir-788	137	52	harvesting	harvest	VERB
asir-788	137	53	the	the	DET
asir-788	137	54	resources	resource	NOUN
asir-788	137	55	is	be	AUX
asir-788	137	56	started	start	VERB
asir-788	137	57	,	,	PUNCT
asir-788	137	58	the	the	DET
asir-788	137	59	problem	problem	NOUN
asir-788	137	60	of	of	ADP
asir-788	137	61	management	management	NOUN
asir-788	137	62	of	of	ADP
asir-788	137	63	the	the	DET
asir-788	137	64	fisheries	fishery	NOUN
asir-788	137	65	can	can	AUX
asir-788	137	66	be	be	AUX
asir-788	137	67	viewed	view	VERB
asir-788	137	68	in	in	ADP
asir-788	137	69	terms	term	NOUN
asir-788	137	70	of	of	ADP
asir-788	137	71	rent	rent	NOUN
asir-788	137	72	maximization	maximization	NOUN
asir-788	137	73	.	.	PUNCT
asir-788	138	1	now	now	ADV
asir-788	138	2	we	we	PRON
asir-788	138	3	shall	shall	AUX
asir-788	138	4	use	use	VERB
asir-788	138	5	pontryagin	pontryagin	NOUN
asir-788	138	6	’s	’s	PART
asir-788	138	7	maximum	maximum	ADJ
asir-788	138	8	principle	principle	NOUN
asir-788	138	9	to	to	PART
asir-788	138	10	solve	solve	VERB
asir-788	138	11	our	our	PRON
asir-788	138	12	optimization	optimization	NOUN
asir-788	138	13	problem	problem	NOUN
asir-788	138	14	and	and	CCONJ
asir-788	138	15	obtain	obtain	VERB
asir-788	138	16	optimal	optimal	ADJ
asir-788	138	17	harvest	harvest	NOUN
asir-788	138	18	policies	policy	NOUN
asir-788	138	19	)	)	PUNCT
asir-788	138	20	(	(	PUNCT
asir-788	138	21	,	,	PUNCT
asir-788	138	22	)	)	PUNCT
asir-788	138	23	(	(	PUNCT
asir-788	138	24	21	21	NUM
asir-788	138	25	tete	tete	NOUN
asir-788	138	26	such	such	ADJ
asir-788	138	27	that	that	SCONJ
asir-788	138	28	our	our	PRON
asir-788	138	29	objective	objective	ADJ
asir-788	138	30	functional	functional	NOUN
asir-788	138	31	is	be	AUX
asir-788	138	32	maximized	maximize	VERB
asir-788	138	33	.	.	PUNCT
asir-788	139	1	importance	importance	NOUN
asir-788	139	2	of	of	ADP
asir-788	139	3	discount	discount	NOUN
asir-788	139	4	rate	rate	NOUN
asir-788	139	5	can	can	AUX
asir-788	139	6	not	not	PART
asir-788	139	7	be	be	AUX
asir-788	139	8	underestimated	underestimate	VERB
asir-788	139	9	in	in	ADP
asir-788	139	10	addressing	address	VERB
asir-788	139	11	environmental	environmental	ADJ
asir-788	139	12	and	and	CCONJ
asir-788	139	13	resources	resource	NOUN
asir-788	139	14	issues	issue	NOUN
asir-788	139	15	.	.	PUNCT
asir-788	140	1	in	in	ADP
asir-788	140	2	fact	fact	NOUN
asir-788	140	3	the	the	DET
asir-788	140	4	optimal	optimal	ADJ
asir-788	140	5	stock	stock	NOUN
asir-788	140	6	size	size	NOUN
asir-788	140	7	for	for	ADP
asir-788	140	8	a	a	DET
asir-788	140	9	given	give	VERB
asir-788	140	10	fishery	fishery	NOUN
asir-788	140	11	will	will	AUX
asir-788	140	12	vary	vary	VERB
asir-788	140	13	depending	depend	VERB
asir-788	140	14	on	on	ADP
asir-788	140	15	discount	discount	NOUN
asir-788	140	16	rate	rate	NOUN
asir-788	140	17	.	.	PUNCT
asir-788	141	1	now	now	ADV
asir-788	141	2	we	we	PRON
asir-788	141	3	assume	assume	VERB
asir-788	141	4	that	that	SCONJ
asir-788	141	5	1p	1p	ADJ
asir-788	141	6	constant	constant	ADJ
asir-788	141	7	price	price	NOUN
asir-788	141	8	per	per	ADP
asir-788	141	9	unit	unit	NOUN
asir-788	141	10	of	of	ADP
asir-788	141	11	biomass	biomass	NOUN
asir-788	141	12	of	of	ADP
asir-788	141	13	1n	1n	NOUN
asir-788	141	14	species	specie	NOUN
asir-788	141	15	,	,	PUNCT
asir-788	141	16	2p	2p	NOUN
asir-788	141	17	constant	constant	ADJ
asir-788	141	18	price	price	NOUN
asir-788	141	19	per	per	ADP
asir-788	141	20	unit	unit	NOUN
asir-788	141	21	of	of	ADP
asir-788	141	22	biomass	biomass	NOUN
asir-788	141	23	of	of	ADP
asir-788	141	24	2n	2n	NUM
asir-788	141	25	species	specie	NOUN
asir-788	141	26	,	,	PUNCT
asir-788	141	27	21	21	NUM
asir-788	141	28	,	,	PUNCT
asir-788	141	29	cc	cc	NOUN
asir-788	141	30	are	be	AUX
asir-788	141	31	constant	constant	ADJ
asir-788	141	32	costs	cost	NOUN
asir-788	141	33	of	of	ADP
asir-788	141	34	fishing	fish	VERB
asir-788	141	35	for	for	ADP
asir-788	141	36	the	the	DET
asir-788	141	37	two	two	NUM
asir-788	141	38	facultative	facultative	ADJ
asir-788	141	39	prey	prey	NOUN
asir-788	141	40	species	specie	NOUN
asir-788	141	41	per	per	ADP
asir-788	141	42	unit	unit	NOUN
asir-788	141	43	effort	effort	NOUN
asir-788	141	44	.	.	PUNCT
asir-788	142	1	our	our	PRON
asir-788	142	2	objective	objective	NOUN
asir-788	142	3	is	be	AUX
asir-788	142	4	to	to	PART
asir-788	142	5	study	study	VERB
asir-788	142	6	the	the	DET
asir-788	142	7	optimal	optimal	ADJ
asir-788	142	8	harvest	harvest	NOUN
asir-788	142	9	policy	policy	NOUN
asir-788	142	10	,	,	PUNCT
asir-788	142	11	i.e.	i.e.	X
asir-788	142	12	,	,	PUNCT
asir-788	142	13	]	]	X
asir-788	142	14	,	,	PUNCT
asir-788	142	15	0	0	NUM
asir-788	142	16	[	[	NOUN
asir-788	142	17	)	)	PUNCT
asir-788	142	18	(	(	PUNCT
asir-788	142	19	max	max	PROPN
asir-788	142	20	ii	ii	PROPN
asir-788	142	21	ete	ete	PROPN
asir-788	142	22			PROPN
asir-788	142	23	,	,	PUNCT
asir-788	142	24	i=1	i=1	PROPN
asir-788	142	25	,	,	PUNCT
asir-788	142	26	2	2	NUM
asir-788	142	27	and	and	CCONJ
asir-788	142	28			ADJ
asir-788	142	29			PROPN
asir-788	142	30	,	,	PUNCT
asir-788	142	31	0	0	NUM
asir-788	142	32	t	t	NOUN
asir-788	142	33	to	to	PART
asir-788	142	34	maximize	maximize	VERB
asir-788	142	35	the	the	DET
asir-788	142	36	profits	profit	NOUN
asir-788	142	37	of	of	ADP
asir-788	142	38	harvesting	harvesting	NOUN
asir-788	142	39	agencies	agency	NOUN
asir-788	142	40	and	and	CCONJ
asir-788	142	41	to	to	PART
asir-788	142	42	keep	keep	VERB
asir-788	142	43	the	the	DET
asir-788	142	44	populations	population	NOUN
asir-788	142	45	at	at	ADP
asir-788	142	46	an	an	DET
asir-788	142	47	optimum	optimum	ADJ
asir-788	142	48	level	level	NOUN
asir-788	142	49	.	.	PUNCT
asir-788	143	1	the	the	DET
asir-788	143	2	objective	objective	ADJ
asir-788	143	3	functional	functional	NOUN
asir-788	143	4	representing	represent	VERB
asir-788	143	5	the	the	DET
asir-788	143	6	present	present	ADJ
asir-788	143	7	value	value	NOUN
asir-788	143	8	j	j	PROPN
asir-788	143	9	of	of	ADP
asir-788	143	10	a	a	DET
asir-788	143	11	continuous	continuous	ADJ
asir-788	143	12	time	time	NOUN
asir-788	143	13	stream	stream	NOUN
asir-788	143	14	of	of	ADP
asir-788	143	15	revenue	revenue	NOUN
asir-788	143	16	is	be	AUX
asir-788	143	17	given	give	VERB
asir-788	143	18	by	by	ADP
asir-788	143	19			PUNCT
asir-788	143	20			PROPN
asir-788	143	21			NOUN
asir-788	143	22			X
asir-788	143	23	0	0	NUM
asir-788	143	24	22112222111121	22112222111121	NUM
asir-788	143	25	)	)	PUNCT
asir-788	144	1	[	[	X
asir-788	144	2	)	)	PUNCT
asir-788	144	3	,	,	PUNCT
asir-788	144	4	(	(	PUNCT
asir-788	144	5	dtececneqpneqpeeej	dtececneqpneqpeeej	NOUN
asir-788	144	6	t	t	PROPN
asir-788	144	7	(	(	PUNCT
asir-788	144	8	24	24	NUM
asir-788	144	9	)	)	PUNCT
asir-788	144	10	where	where	SCONJ
asir-788	144	11			PROPN
asir-788	144	12	is	be	AUX
asir-788	144	13	instantaneous	instantaneous	ADJ
asir-788	144	14	annual	annual	ADJ
asir-788	144	15	rate	rate	NOUN
asir-788	144	16	of	of	ADP
asir-788	144	17	discount	discount	NOUN
asir-788	144	18	.	.	PUNCT
asir-788	145	1	in	in	ADP
asir-788	145	2	this	this	DET
asir-788	145	3	section	section	NOUN
asir-788	145	4	we	we	PRON
asir-788	145	5	will	will	AUX
asir-788	145	6	find	find	VERB
asir-788	145	7	an	an	DET
asir-788	145	8	optimal	optimal	ADJ
asir-788	145	9	harvest	harvest	NOUN
asir-788	145	10	policy	policy	NOUN
asir-788	145	11	solving	solve	VERB
asir-788	145	12	the	the	DET
asir-788	145	13	following	follow	VERB
asir-788	145	14	optimization	optimization	NOUN
asir-788	145	15	problem	problem	NOUN
asir-788	145	16	,	,	PUNCT
asir-788	145	17	maximize	maximize	NOUN
asir-788	145	18	)	)	PUNCT
asir-788	145	19	,	,	PUNCT
asir-788	145	20	(	(	PUNCT
asir-788	145	21	21	21	NUM
asir-788	145	22	eej	eej	NOUN
asir-788	145	23	subject	subject	ADJ
asir-788	145	24	to	to	ADP
asir-788	145	25	(	(	PUNCT
asir-788	145	26	3)-(5	3)-(5	NUM
asir-788	145	27	)	)	PUNCT
asir-788	145	28	and	and	CCONJ
asir-788	145	29	2,1;)(0	2,1;)(0	NUM
asir-788	145	30	max	max	PROPN
asir-788	145	31			PROPN
asir-788	145	32	iete	iete	PROPN
asir-788	145	33	ii	ii	PROPN
asir-788	145	34	the	the	DET
asir-788	145	35	hamiltonian	hamiltonian	NOUN
asir-788	145	36	for	for	ADP
asir-788	145	37	this	this	DET
asir-788	145	38	control	control	NOUN
asir-788	145	39	problem	problem	NOUN
asir-788	145	40	is	be	AUX
asir-788	145	41	taken	take	VERB
asir-788	145	42	as	as	ADP
asir-788	145	43	h=	h=	NOUN
asir-788	145	44	]	]	X
asir-788	146	1	[	[	PUNCT
asir-788	146	2	221122221111	221122221111	NUM
asir-788	146	3	ececneqpneqpe	ececneqpneqpe	NOUN
asir-788	146	4	t	t	PROPN
asir-788	146	5			PROPN
asir-788	147	1	+	+	CCONJ
asir-788	147	2	1	1	NUM
asir-788	147	3	[	[	PUNCT
asir-788	147	4	111311	111311	NUM
asir-788	147	5	1	1	NUM
asir-788	147	6	2121	2121	NUM
asir-788	147	7	11	11	NUM
asir-788	147	8	)	)	PUNCT
asir-788	147	9	1	1	NUM
asir-788	147	10	(	(	PUNCT
asir-788	147	11	neqnna	neqnna	NOUN
asir-788	147	12	k	k	PROPN
asir-788	147	13	nn	nn	PROPN
asir-788	147	14	nr	nr	ADV
asir-788	147	15			PROPN
asir-788	147	16			PROPN
asir-788	147	17			PROPN
asir-788	147	18			NOUN
asir-788	147	19	]	]	PUNCT
asir-788	148	1	+	+	CCONJ
asir-788	148	2	2	2	NUM
asir-788	148	3	222322	222322	NUM
asir-788	148	4	2	2	NUM
asir-788	148	5	1212	1212	NUM
asir-788	148	6	22	22	NUM
asir-788	148	7	)	)	PUNCT
asir-788	148	8	1	1	NUM
asir-788	148	9	(	(	PUNCT
asir-788	148	10	[	[	PUNCT
asir-788	148	11	neqnna	neqnna	ADJ
asir-788	148	12	k	k	PROPN
asir-788	148	13	nn	nn	PROPN
asir-788	148	14	nr	nr	ADV
asir-788	148	15			PROPN
asir-788	148	16			PROPN
asir-788	148	17			PROPN
asir-788	148	18			NOUN
asir-788	148	19	]	]	PUNCT
asir-788	149	1	+	+	CCONJ
asir-788	149	2	3	3	NUM
asir-788	149	3	]	]	X
asir-788	149	4	[	[	PUNCT
asir-788	149	5	332223111	332223111	NUM
asir-788	149	6	dnnnanna	dnnnanna	NOUN
asir-788	149	7			NOUN
asir-788	149	8			NOUN
asir-788	149	9	(	(	PUNCT
asir-788	149	10	25	25	NUM
asir-788	149	11	)	)	PUNCT
asir-788	149	12	where	where	SCONJ
asir-788	149	13	3,2,1	3,2,1	NUM
asir-788	149	14	,	,	PUNCT
asir-788	149	15	)	)	PUNCT
asir-788	149	16	(	(	PUNCT
asir-788	149	17			NUM
asir-788	149	18	itii	itii	VERB
asir-788	149	19			NOUN
asir-788	149	20	are	be	AUX
asir-788	149	21	adjoint	adjoint	NOUN
asir-788	149	22	variables	variable	NOUN
asir-788	149	23	.	.	PUNCT
asir-788	150	1	we	we	PRON
asir-788	150	2	have	have	VERB
asir-788	150	3	,	,	PUNCT
asir-788	150	4	1e	1e	PROPN
asir-788	150	5	h	h	PROPN
asir-788	150	6			ADJ
asir-788	150	7			PROPN
asir-788	150	8	=	=	PUNCT
asir-788	150	9	)	)	PUNCT
asir-788	150	10	(	(	PUNCT
asir-788	150	11	]	]	X
asir-788	150	12	[	[	PUNCT
asir-788	150	13	11111111	11111111	NUM
asir-788	150	14	tnqcnqpe	tnqcnqpe	NOUN
asir-788	150	15	t	t	PROPN
asir-788	150	16			PROPN
asir-788	150	17			NOUN
asir-788	150	18	(	(	PUNCT
asir-788	150	19	26	26	NUM
asir-788	150	20	)	)	PUNCT
asir-788	150	21	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-788	150	22	applied	apply	VERB
asir-788	150	23	science	science	NOUN
asir-788	150	24	and	and	CCONJ
asir-788	150	25	innovative	innovative	ADJ
asir-788	150	26	research	research	NOUN
asir-788	150	27	vol	vol	NOUN
asir-788	150	28	.	.	PROPN
asir-788	151	1	1	1	NUM
asir-788	151	2	,	,	PUNCT
asir-788	151	3	no	no	INTJ
asir-788	151	4	.	.	NOUN
asir-788	151	5	1	1	NUM
asir-788	151	6	,	,	PUNCT
asir-788	151	7	2017	2017	NUM
asir-788	151	8	9	9	NUM
asir-788	151	9	published	publish	VERB
asir-788	151	10	by	by	ADP
asir-788	151	11	scholink	scholink	PROPN
asir-788	151	12	inc	inc	PROPN
asir-788	151	13	.	.	PROPN
asir-788	152	1	and	and	CCONJ
asir-788	152	2	2e	2e	PROPN
asir-788	152	3	h	h	PROPN
asir-788	152	4			ADJ
asir-788	152	5			PROPN
asir-788	152	6	=	=	PUNCT
asir-788	152	7	)	)	PUNCT
asir-788	152	8	(	(	PUNCT
asir-788	152	9	]	]	X
asir-788	152	10	[	[	PUNCT
asir-788	152	11	22222222	22222222	NUM
asir-788	152	12	tnqcnqpe	tnqcnqpe	NOUN
asir-788	152	13	t	t	PROPN
asir-788	152	14			PROPN
asir-788	152	15			NOUN
asir-788	152	16	(	(	PUNCT
asir-788	152	17	27	27	NUM
asir-788	152	18	)	)	PUNCT
asir-788	152	19	the	the	DET
asir-788	152	20	optimal	optimal	ADJ
asir-788	152	21	control	control	NOUN
asir-788	152	22	2,1	2,1	NUM
asir-788	152	23	)	)	PUNCT
asir-788	152	24	,	,	PUNCT
asir-788	152	25	(	(	PUNCT
asir-788	152	26	itei	itei	PUNCT
asir-788	152	27	must	must	AUX
asir-788	152	28	clearly	clearly	ADV
asir-788	152	29	satisfy	satisfy	VERB
asir-788	152	30	the	the	DET
asir-788	152	31	condition	condition	NOUN
asir-788	152	32			PRON
asir-788	152	33	0)(0,0	0)(0,0	NOUN
asir-788	152	34	)	)	PUNCT
asir-788	152	35	(	(	PUNCT
asir-788	152	36	)	)	PUNCT
asir-788	153	1	(	(	PUNCT
asir-788	153	2	max	max	PROPN
asir-788	153	3			X
asir-788	153	4	twhenandtwhenete	twhenandtwhenete	ADJ
asir-788	153	5	iiii	iiii	NOUN
asir-788	153	6			X
asir-788	153	7	(	(	PUNCT
asir-788	153	8	28	28	NUM
asir-788	153	9	)	)	PUNCT
asir-788	153	10	since	since	SCONJ
asir-788	153	11	)	)	PUNCT
asir-788	153	12	(	(	PUNCT
asir-788	153	13	ti	ti	NUM
asir-788	153	14	causes	cause	VERB
asir-788	153	15	)	)	PUNCT
asir-788	153	16	(	(	PUNCT
asir-788	153	17	tei	tei	NOUN
asir-788	153	18	to	to	PART
asir-788	153	19	switch	switch	VERB
asir-788	153	20	between	between	ADP
asir-788	153	21	the	the	DET
asir-788	153	22	levels	level	NOUN
asir-788	153	23	0	0	PUNCT
asir-788	153	24	and	and	CCONJ
asir-788	153	25	maxe	maxe	NOUN
asir-788	153	26	,	,	PUNCT
asir-788	153	27	)	)	PUNCT
asir-788	153	28	(	(	PUNCT
asir-788	153	29	ti	ti	NUM
asir-788	153	30	(	(	PUNCT
asir-788	153	31	i=1,2	i=1,2	NOUN
asir-788	153	32	)	)	PUNCT
asir-788	153	33	are	be	AUX
asir-788	153	34	called	call	VERB
asir-788	153	35	switching	switch	VERB
asir-788	153	36	functions	function	NOUN
asir-788	153	37	.	.	PUNCT
asir-788	154	1	depending	depend	VERB
asir-788	154	2	on	on	ADP
asir-788	154	3	the	the	DET
asir-788	154	4	switching	switch	VERB
asir-788	154	5	functions	function	NOUN
asir-788	154	6	)	)	PUNCT
asir-788	154	7	(	(	PUNCT
asir-788	154	8	ti	ti	NUM
asir-788	154	9	,	,	PUNCT
asir-788	154	10	the	the	DET
asir-788	154	11	optimal	optimal	ADJ
asir-788	154	12	control	control	NOUN
asir-788	154	13	)	)	PUNCT
asir-788	154	14	(	(	PUNCT
asir-788	154	15	tei	tei	NOUN
asir-788	154	16	is	be	AUX
asir-788	154	17	a	a	DET
asir-788	154	18	bang	bang	PROPN
asir-788	154	19	-	-	PUNCT
asir-788	154	20	bang	bang	PROPN
asir-788	154	21	control	control	NOUN
asir-788	154	22	switching	switch	VERB
asir-788	154	23	from	from	ADP
asir-788	154	24	one	one	NUM
asir-788	154	25	extreme	extreme	ADJ
asir-788	154	26	level	level	NOUN
asir-788	154	27	to	to	ADP
asir-788	154	28	other	other	ADJ
asir-788	154	29	one	one	NUM
asir-788	154	30	.	.	PUNCT
asir-788	155	1	once	once	ADV
asir-788	155	2	)	)	PUNCT
asir-788	155	3	(	(	PUNCT
asir-788	155	4	ti	ti	NOUN
asir-788	155	5	(	(	PUNCT
asir-788	155	6	i=1,2	i=1,2	NOUN
asir-788	155	7	)	)	PUNCT
asir-788	155	8	vanishes	vanish	VERB
asir-788	155	9	,	,	PUNCT
asir-788	155	10	the	the	DET
asir-788	155	11	hamiltonian	hamiltonian	ADJ
asir-788	155	12	functions	function	NOUN
asir-788	155	13	h	h	NOUN
asir-788	155	14	becomes	become	VERB
asir-788	155	15	independent	independent	ADJ
asir-788	155	16	of	of	ADP
asir-788	155	17	the	the	DET
asir-788	155	18	control	control	NOUN
asir-788	155	19	variable	variable	NOUN
asir-788	155	20	)	)	PUNCT
asir-788	155	21	(	(	PUNCT
asir-788	155	22	tei	tei	X
asir-788	155	23	(	(	PUNCT
asir-788	155	24	i=1,2	i=1,2	NOUN
asir-788	155	25	)	)	PUNCT
asir-788	155	26	and	and	CCONJ
asir-788	155	27	its	its	PRON
asir-788	155	28	optimal	optimal	ADJ
asir-788	155	29	value	value	NOUN
asir-788	155	30	can	can	AUX
asir-788	155	31	not	not	PART
asir-788	155	32	be	be	AUX
asir-788	155	33	determined	determine	VERB
asir-788	155	34	by	by	ADP
asir-788	155	35	the	the	DET
asir-788	155	36	above	above	ADJ
asir-788	155	37	procedure	procedure	NOUN
asir-788	155	38	.	.	PUNCT
asir-788	156	1	it	it	PRON
asir-788	156	2	is	be	AUX
asir-788	156	3	then	then	ADV
asir-788	156	4	called	call	VERB
asir-788	156	5	singular	singular	PROPN
asir-788	156	6	control	control	PROPN
asir-788	156	7	max	max	PROPN
asir-788	156	8	*	*	PROPN
asir-788	156	9	*	*	PROPN
asir-788	156	10	)	)	PUNCT
asir-788	156	11	(	(	PUNCT
asir-788	156	12	0	0	NUM
asir-788	156	13	,	,	PUNCT
asir-788	156	14	)	)	PUNCT
asir-788	156	15	(	(	PUNCT
asir-788	156	16	iii	iii	X
asir-788	156	17	etete	etete	ADJ
asir-788	156	18			PUNCT
asir-788	156	19	.	.	PUNCT
asir-788	157	1	hence	hence	ADV
asir-788	157	2	our	our	PRON
asir-788	157	3	optimal	optimal	ADJ
asir-788	157	4	harvest	harvest	NOUN
asir-788	157	5	policy	policy	NOUN
asir-788	157	6	becomes	become	VERB
asir-788	157	7			PRON
asir-788	157	8			PROPN
asir-788	157	9			NUM
asir-788	157	10			NUM
asir-788	157	11			NOUN
asir-788	158	1			PRON
asir-788	158	2			VERB
asir-788	158	3			INTJ
asir-788	158	4			PROPN
asir-788	158	5	0	0	NUM
asir-788	158	6	)	)	PUNCT
asir-788	158	7	(	(	PUNCT
asir-788	158	8	0)(0	0)(0	NUM
asir-788	158	9	0	0	NUM
asir-788	158	10	)	)	PUNCT
asir-788	158	11	(	(	PUNCT
asir-788	158	12	)	)	PUNCT
asir-788	158	13	(	(	PUNCT
asir-788	158	14	*	*	PUNCT
asir-788	158	15	max	max	PROPN
asir-788	158	16	ii	ii	PROPN
asir-788	159	1	i	i	PRON
asir-788	159	2	ii	ii	VERB
asir-788	159	3	i	i	PRON
asir-788	159	4	forte	forte	NOUN
asir-788	159	5	tfor	tfor	ADP
asir-788	159	6	tfore	tfore	NOUN
asir-788	159	7	te	te	ADP
asir-788	159	8			PROPN
asir-788	159	9			X
asir-788	159	10			PROPN
asir-788	159	11	for	for	ADP
asir-788	159	12	i=1	i=1	PROPN
asir-788	159	13	,	,	PUNCT
asir-788	159	14	2	2	X
asir-788	159	15	.	.	X
asir-788	160	1	for	for	ADP
asir-788	160	2	singular	singular	ADJ
asir-788	160	3	control	control	NOUN
asir-788	160	4	)	)	PUNCT
asir-788	160	5	(	(	PUNCT
asir-788	160	6	ti	ti	PUNCT
asir-788	160	7	=	=	SYM
asir-788	160	8	0	0	NUM
asir-788	160	9	;	;	PUNCT
asir-788	160	10	i=1	i=1	PROPN
asir-788	160	11	,	,	PUNCT
asir-788	160	12	2	2	X
asir-788	160	13	.	.	PUNCT
asir-788	160	14	then	then	ADV
asir-788	160	15	from	from	ADP
asir-788	160	16	(	(	PUNCT
asir-788	160	17	26	26	NUM
asir-788	160	18	)	)	PUNCT
asir-788	160	19	and	and	CCONJ
asir-788	160	20	(	(	PUNCT
asir-788	160	21	27	27	NUM
asir-788	160	22	)	)	PUNCT
asir-788	160	23	we	we	PRON
asir-788	160	24	find	find	VERB
asir-788	160	25	that	that	SCONJ
asir-788	160	26	the	the	DET
asir-788	160	27	values	value	NOUN
asir-788	160	28	of	of	ADP
asir-788	160	29	1	1	NUM
asir-788	160	30	and	and	CCONJ
asir-788	160	31	2	2	NUM
asir-788	160	32	are	be	AUX
asir-788	160	33	)	)	PUNCT
asir-788	160	34	(	(	PUNCT
asir-788	160	35	11	11	NUM
asir-788	160	36	1	1	NUM
asir-788	160	37	11	11	NUM
asir-788	160	38	nq	nq	NOUN
asir-788	160	39	c	c	X
asir-788	160	40	pe	pe	PROPN
asir-788	160	41	t	t	PROPN
asir-788	160	42			PROPN
asir-788	160	43			PUNCT
asir-788	160	44	(	(	PUNCT
asir-788	160	45	29	29	NUM
asir-788	160	46	)	)	PUNCT
asir-788	160	47	)	)	PUNCT
asir-788	161	1	(	(	PUNCT
asir-788	161	2	22	22	NUM
asir-788	161	3	2	2	NUM
asir-788	161	4	22	22	NUM
asir-788	161	5	nq	nq	NOUN
asir-788	161	6	c	c	X
asir-788	161	7	pe	pe	PROPN
asir-788	161	8	t	t	PROPN
asir-788	161	9			PROPN
asir-788	161	10			PUNCT
asir-788	161	11	(	(	PUNCT
asir-788	161	12	30	30	NUM
asir-788	161	13	)	)	PUNCT
asir-788	161	14	now	now	ADV
asir-788	161	15	the	the	DET
asir-788	161	16	adjoint	adjoint	PROPN
asir-788	161	17	equations	equation	NOUN
asir-788	161	18	are	be	AUX
asir-788	161	19			ADJ
asir-788	161	20	dt	dt	PROPN
asir-788	161	21	d	d	X
asir-788	161	22	1	1	NUM
asir-788	161	23	1n	1n	NUM
asir-788	161	24	h	h	PROPN
asir-788	161	25			PROPN
asir-788	161	26			PROPN
asir-788	161	27	,	,	PUNCT
asir-788	161	28	2	2	NUM
asir-788	161	29	2	2	NUM
asir-788	161	30	n	n	NUM
asir-788	161	31	h	h	NOUN
asir-788	161	32	dt	dt	X
asir-788	161	33	d	d	X
asir-788	161	34			ADJ
asir-788	161	35			ADJ
asir-788	161	36			PROPN
asir-788	161	37			X
asir-788	161	38	,	,	PUNCT
asir-788	161	39	3	3	NUM
asir-788	161	40	3	3	NUM
asir-788	161	41	n	n	NUM
asir-788	161	42	h	h	NOUN
asir-788	161	43	dt	dt	X
asir-788	161	44	d	d	X
asir-788	161	45			ADJ
asir-788	161	46			ADJ
asir-788	161	47			ADJ
asir-788	161	48			X
asir-788	161	49	(	(	PUNCT
asir-788	161	50	31	31	NUM
asir-788	161	51	)	)	PUNCT
asir-788	161	52	then	then	ADV
asir-788	161	53	using	use	VERB
asir-788	161	54	(	(	PUNCT
asir-788	161	55	25	25	NUM
asir-788	161	56	)	)	PUNCT
asir-788	161	57	and	and	CCONJ
asir-788	161	58	the	the	DET
asir-788	161	59	third	third	ADJ
asir-788	161	60	equation	equation	NOUN
asir-788	161	61	of	of	ADP
asir-788	161	62	(	(	PUNCT
asir-788	161	63	31	31	NUM
asir-788	161	64	)	)	PUNCT
asir-788	161	65	we	we	PRON
asir-788	161	66	find	find	VERB
asir-788	161	67	)	)	PUNCT
asir-788	161	68	]	]	PUNCT
asir-788	161	69	(	(	PUNCT
asir-788	161	70	[	[	PUNCT
asir-788	161	71	2221113222111	2221113222111	NUM
asir-788	161	72	3	3	NUM
asir-788	161	73	dnananana	dnananana	PROPN
asir-788	161	74	dt	dt	PROPN
asir-788	162	1	d	d	X
asir-788	162	2			PROPN
asir-788	162	3			NOUN
asir-788	162	4			ADJ
asir-788	162	5	using	use	VERB
asir-788	162	6	(	(	PUNCT
asir-788	162	7	29	29	NUM
asir-788	162	8	)	)	PUNCT
asir-788	162	9	,	,	PUNCT
asir-788	162	10	(	(	PUNCT
asir-788	162	11	30	30	X
asir-788	162	12	)	)	PUNCT
asir-788	162	13	we	we	PRON
asir-788	162	14	write	write	VERB
asir-788	162	15	,	,	PUNCT
asir-788	162	16			PROPN
asir-788	162	17	dt	dt	X
asir-788	163	1	d	d	X
asir-788	163	2	3	3	NUM
asir-788	164	1			ADJ
asir-788	164	2	11	11	NUM
asir-788	164	3	11	11	NUM
asir-788	164	4	1	1	NUM
asir-788	164	5	1	1	NUM
asir-788	164	6	)	)	PUNCT
asir-788	164	7	(	(	PUNCT
asir-788	164	8	na	na	NOUN
asir-788	164	9	nq	nq	X
asir-788	164	10	c	c	NOUN
asir-788	164	11	pe	pe	NOUN
asir-788	165	1	t	t	NOUN
asir-788	165	2	22	22	NUM
asir-788	165	3	22	22	NUM
asir-788	165	4	2	2	NUM
asir-788	165	5	2	2	NUM
asir-788	165	6	)	)	PUNCT
asir-788	165	7	(	(	PUNCT
asir-788	165	8	na	na	ADV
asir-788	165	9	nq	nq	INTJ
asir-788	165	10	c	c	NOUN
asir-788	165	11	pe	pe	NOUN
asir-788	165	12	t	t	PROPN
asir-788	165	13			PROPN
asir-788	165	14	3	3	ADJ
asir-788	165	15			NOUN
asir-788	165	16			PROPN
asir-788	165	17	11	11	NUM
asir-788	165	18	11	11	NUM
asir-788	165	19	1	1	NUM
asir-788	165	20	1	1	NUM
asir-788	165	21	)	)	PUNCT
asir-788	166	1	[	[	X
asir-788	166	2	(	(	PUNCT
asir-788	166	3	na	na	INTJ
asir-788	166	4	nq	nq	X
asir-788	166	5	c	c	PROPN
asir-788	166	6	p	p	PROPN
asir-788	166	7	e	e	PROPN
asir-788	166	8	t	t	PROPN
asir-788	166	9			PROPN
asir-788	166	10			NUM
asir-788	166	11	]	]	X
asir-788	166	12	)	)	PUNCT
asir-788	166	13	(	(	PUNCT
asir-788	166	14	22	22	NUM
asir-788	166	15	22	22	NUM
asir-788	166	16	2	2	NUM
asir-788	166	17	2	2	NUM
asir-788	166	18	na	na	NOUN
asir-788	166	19	nq	nq	PROPN
asir-788	166	20	c	c	PROPN
asir-788	166	21	p	p	X
asir-788	166	22			PROPN
asir-788	166	23	(	(	PUNCT
asir-788	166	24	32	32	NUM
asir-788	166	25	)	)	PUNCT
asir-788	166	26	we	we	PRON
asir-788	166	27	here	here	ADV
asir-788	166	28	consider	consider	VERB
asir-788	166	29	that	that	SCONJ
asir-788	166	30	the	the	DET
asir-788	166	31	constant	constant	NOUN
asir-788	166	32	of	of	ADP
asir-788	166	33	integration	integration	NOUN
asir-788	166	34	vanishes	vanish	VERB
asir-788	166	35	so	so	SCONJ
asir-788	166	36	that	that	SCONJ
asir-788	166	37	the	the	DET
asir-788	166	38	shadow	shadow	NOUN
asir-788	166	39	prices	price	VERB
asir-788	166	40	)	)	PUNCT
asir-788	166	41	3,2,1	3,2,1	NUM
asir-788	166	42	(	(	PUNCT
asir-788	167	1	ie	ie	NUM
asir-788	167	2	t	t	NOUN
asir-788	168	1	i	i	PRON
asir-788	168	2			NUM
asir-788	168	3	of	of	ADP
asir-788	168	4	three	three	NUM
asir-788	168	5	species	specie	NOUN
asir-788	168	6	are	be	AUX
asir-788	168	7	bounded	bound	VERB
asir-788	168	8	.	.	PUNCT
asir-788	169	1	using	use	VERB
asir-788	169	2	(	(	PUNCT
asir-788	169	3	29	29	NUM
asir-788	169	4	)	)	PUNCT
asir-788	169	5	and	and	CCONJ
asir-788	169	6	(	(	PUNCT
asir-788	169	7	30	30	NUM
asir-788	169	8	)	)	PUNCT
asir-788	169	9	in	in	ADP
asir-788	169	10	other	other	ADJ
asir-788	169	11	two	two	NUM
asir-788	169	12	equations	equation	NOUN
asir-788	169	13	of	of	ADP
asir-788	169	14	(	(	PUNCT
asir-788	169	15	31	31	NUM
asir-788	169	16	)	)	PUNCT
asir-788	169	17	we	we	PRON
asir-788	169	18	find	find	VERB
asir-788	169	19	that	that	SCONJ
asir-788	169	20	,	,	PUNCT
asir-788	169	21	]	]	X
asir-788	169	22	[	[	X
asir-788	169	23	)	)	PUNCT
asir-788	169	24	(	(	PUNCT
asir-788	169	25	31132122	31132122	NUM
asir-788	169	26	2	2	NUM
asir-788	169	27	2	2	NUM
asir-788	169	28	11	11	NUM
asir-788	169	29	1	1	NUM
asir-788	169	30	1	1	NUM
asir-788	169	31	111	111	NUM
asir-788	169	32	11	11	NUM
asir-788	169	33	1	1	NUM
asir-788	169	34	1	1	NUM
asir-788	169	35	nanr	nanr	NOUN
asir-788	169	36	k	k	PROPN
asir-788	169	37	rn	rn	PROPN
asir-788	169	38	k	k	PROPN
asir-788	169	39	eqpe	eqpe	PROPN
asir-788	170	1	nq	nq	PROPN
asir-788	170	2	c	c	PROPN
asir-788	170	3	pe	pe	INTJ
asir-788	170	4	tt	tt	PROPN
asir-788	170	5			PROPN
asir-788	170	6			VERB
asir-788	170	7			NUM
asir-788	170	8			NUM
asir-788	170	9			PRON
asir-788	170	10			PROPN
asir-788	170	11	,	,	PUNCT
asir-788	170	12	and	and	CCONJ
asir-788	170	13	,	,	PUNCT
asir-788	170	14	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-788	170	15	applied	apply	VERB
asir-788	170	16	science	science	NOUN
asir-788	170	17	and	and	CCONJ
asir-788	170	18	innovative	innovative	ADJ
asir-788	170	19	research	research	NOUN
asir-788	170	20	vol	vol	NOUN
asir-788	170	21	.	.	PROPN
asir-788	171	1	1	1	NUM
asir-788	171	2	,	,	PUNCT
asir-788	171	3	no	no	INTJ
asir-788	171	4	.	.	NOUN
asir-788	171	5	1	1	NUM
asir-788	171	6	,	,	PUNCT
asir-788	171	7	2017	2017	NUM
asir-788	171	8	10	10	NUM
asir-788	171	9	published	publish	VERB
asir-788	171	10	by	by	ADP
asir-788	171	11	scholink	scholink	PROPN
asir-788	171	12	inc	inc	PROPN
asir-788	171	13	.	.	PROPN
asir-788	171	14	]	]	X
asir-788	172	1	[	[	X
asir-788	172	2	)	)	PUNCT
asir-788	172	3	(	(	PUNCT
asir-788	172	4	32231211	32231211	NUM
asir-788	172	5	1	1	NUM
asir-788	172	6	1	1	NUM
asir-788	172	7	22	22	NUM
asir-788	172	8	2	2	NUM
asir-788	172	9	2	2	NUM
asir-788	172	10	222	222	NUM
asir-788	172	11	22	22	NUM
asir-788	172	12	2	2	NUM
asir-788	172	13	2	2	NUM
asir-788	172	14	nanr	nanr	NOUN
asir-788	172	15	k	k	PROPN
asir-788	172	16	rn	rn	PROPN
asir-788	172	17	k	k	PROPN
asir-788	172	18	eqpe	eqpe	PROPN
asir-788	173	1	nq	nq	PROPN
asir-788	173	2	c	c	PROPN
asir-788	173	3	pe	pe	INTJ
asir-788	173	4	tt	tt	PROPN
asir-788	173	5			PROPN
asir-788	173	6			VERB
asir-788	173	7			NUM
asir-788	173	8			NUM
asir-788	173	9			DET
asir-788	173	10			PROPN
asir-788	173	11	.	.	PUNCT
asir-788	174	1	now	now	ADV
asir-788	174	2	using	use	VERB
asir-788	174	3	the	the	DET
asir-788	174	4	values	value	NOUN
asir-788	174	5	of	of	ADP
asir-788	174	6	the	the	DET
asir-788	174	7	adjoint	adjoint	NOUN
asir-788	174	8	variables	variable	VERB
asir-788	174	9	321	321	NUM
asir-788	174	10	,	,	PUNCT
asir-788	174	11	,	,	PUNCT
asir-788	174	12			PROPN
asir-788	174	13	in	in	ADP
asir-788	174	14	the	the	DET
asir-788	174	15	above	above	ADJ
asir-788	174	16	equations	equation	NOUN
asir-788	174	17	we	we	PRON
asir-788	174	18	get	get	VERB
asir-788	174	19	,	,	PUNCT
asir-788	174	20	]	]	X
asir-788	174	21	)	)	PUNCT
asir-788	174	22	(	(	PUNCT
asir-788	174	23	)	)	PUNCT
asir-788	174	24	(	(	PUNCT
asir-788	174	25	)	)	PUNCT
asir-788	174	26	(	(	PUNCT
asir-788	174	27	)	)	PUNCT
asir-788	174	28	(	(	PUNCT
asir-788	174	29	[	[	NOUN
asir-788	174	30	)	)	PUNCT
asir-788	174	31	(	(	PUNCT
asir-788	174	32	2	2	NUM
asir-788	174	33	22	22	NUM
asir-788	174	34	2	2	NUM
asir-788	174	35	221	221	NUM
asir-788	174	36	11	11	NUM
asir-788	174	37	1	1	NUM
asir-788	174	38	11	11	NUM
asir-788	174	39	311	311	NUM
asir-788	174	40	221	221	NUM
asir-788	174	41	22	22	NUM
asir-788	174	42	2	2	NUM
asir-788	174	43	2	2	NUM
asir-788	174	44	2	2	NUM
asir-788	174	45	2	2	NUM
asir-788	174	46	1	1	NUM
asir-788	174	47	11	11	NUM
asir-788	174	48	1	1	NUM
asir-788	174	49	1	1	NUM
asir-788	174	50	1	1	NUM
asir-788	174	51	1	1	NUM
asir-788	174	52	111	111	NUM
asir-788	174	53	11	11	NUM
asir-788	174	54	1	1	NUM
asir-788	174	55	1	1	NUM
asir-788	174	56			NUM
asir-788	175	1			INTJ
asir-788	175	2			PROPN
asir-788	176	1			INTJ
asir-788	176	2			NUM
asir-788	176	3			ADP
asir-788	176	4			PROPN
asir-788	176	5	n	n	CCONJ
asir-788	176	6	nq	nq	PROPN
asir-788	176	7	c	c	PROPN
asir-788	176	8	pan	pan	VERB
asir-788	176	9	nq	nq	PROPN
asir-788	176	10	c	c	PROPN
asir-788	176	11	pa	pa	PROPN
asir-788	176	12	na	na	PROPN
asir-788	176	13	n	n	ADV
asir-788	176	14	nq	nq	PROPN
asir-788	176	15	c	c	PROPN
asir-788	176	16	p	p	NOUN
asir-788	176	17	k	k	PROPN
asir-788	176	18	r	r	NOUN
asir-788	176	19	n	n	NOUN
asir-788	176	20	nq	nq	NOUN
asir-788	176	21	c	c	PROPN
asir-788	176	22	p	p	NOUN
asir-788	176	23	k	k	PROPN
asir-788	176	24	r	r	PROPN
asir-788	176	25	eqp	eqp	PROPN
asir-788	176	26	nq	nq	PROPN
asir-788	176	27	c	c	PROPN
asir-788	176	28	p	p	PROPN
asir-788	176	29			NUM
asir-788	176	30			PROPN
asir-788	176	31			NOUN
asir-788	176	32	and	and	CCONJ
asir-788	176	33	,	,	PUNCT
asir-788	176	34	]	]	X
asir-788	176	35	)	)	PUNCT
asir-788	176	36	(	(	PUNCT
asir-788	176	37	)	)	PUNCT
asir-788	176	38	(	(	PUNCT
asir-788	176	39	)	)	PUNCT
asir-788	176	40	(	(	PUNCT
asir-788	176	41	)	)	PUNCT
asir-788	176	42	(	(	PUNCT
asir-788	176	43	[	[	NOUN
asir-788	176	44	)	)	PUNCT
asir-788	176	45	(	(	PUNCT
asir-788	176	46	2	2	NUM
asir-788	176	47	22	22	NUM
asir-788	176	48	2	2	NUM
asir-788	176	49	221	221	NUM
asir-788	176	50	11	11	NUM
asir-788	176	51	1	1	NUM
asir-788	176	52	11	11	NUM
asir-788	176	53	322	322	NUM
asir-788	176	54	2	2	NUM
asir-788	176	55	22	22	NUM
asir-788	176	56	2	2	NUM
asir-788	176	57	2	2	NUM
asir-788	176	58	2	2	NUM
asir-788	176	59	2	2	NUM
asir-788	176	60	121	121	NUM
asir-788	176	61	11	11	NUM
asir-788	176	62	1	1	NUM
asir-788	176	63	1	1	NUM
asir-788	176	64	1	1	NUM
asir-788	176	65	1	1	NUM
asir-788	176	66	222	222	NUM
asir-788	176	67	22	22	NUM
asir-788	176	68	2	2	NUM
asir-788	176	69	2	2	NUM
asir-788	176	70			NUM
asir-788	176	71			INTJ
asir-788	177	1			PROPN
asir-788	177	2			INTJ
asir-788	177	3			NUM
asir-788	177	4			ADP
asir-788	177	5			NOUN
asir-788	177	6	n	n	CCONJ
asir-788	177	7	nq	nq	PROPN
asir-788	177	8	c	c	PROPN
asir-788	177	9	pan	pan	VERB
asir-788	177	10	nq	nq	PROPN
asir-788	177	11	c	c	PROPN
asir-788	177	12	pa	pa	PROPN
asir-788	177	13	na	na	PROPN
asir-788	177	14	n	n	ADV
asir-788	177	15	nq	nq	PROPN
asir-788	177	16	c	c	PROPN
asir-788	177	17	p	p	NOUN
asir-788	177	18	k	k	PROPN
asir-788	177	19	r	r	NOUN
asir-788	177	20	n	n	NOUN
asir-788	177	21	nq	nq	NOUN
asir-788	177	22	c	c	PROPN
asir-788	177	23	p	p	NOUN
asir-788	177	24	k	k	PROPN
asir-788	177	25	r	r	PROPN
asir-788	177	26	eqp	eqp	PROPN
asir-788	177	27	nq	nq	PROPN
asir-788	177	28	c	c	PROPN
asir-788	177	29	p	p	PROPN
asir-788	177	30			NUM
asir-788	177	31			PROPN
asir-788	177	32			NOUN
asir-788	177	33	therefore	therefore	ADV
asir-788	177	34	,	,	PUNCT
asir-788	177	35	)	)	PUNCT
asir-788	177	36	)	)	PUNCT
asir-788	177	37	(	(	PUNCT
asir-788	177	38	(	(	PUNCT
asir-788	177	39	)	)	PUNCT
asir-788	177	40	)	)	PUNCT
asir-788	177	41	(	(	PUNCT
asir-788	177	42	(	(	PUNCT
asir-788	177	43	2	2	NUM
asir-788	177	44	221232211	221232211	NUM
asir-788	177	45	22	22	NUM
asir-788	177	46	2	2	NUM
asir-788	177	47	2	2	NUM
asir-788	177	48	31	31	NUM
asir-788	177	49	2	2	NUM
asir-788	177	50	11	11	NUM
asir-788	177	51	1	1	NUM
asir-788	177	52	11	11	NUM
asir-788	177	53	11	11	NUM
asir-788	177	54	1	1	NUM
asir-788	177	55	1111	1111	NUM
asir-788	177	56	k	k	PROPN
asir-788	177	57	nrnnaa	nrnnaa	PROPN
asir-788	177	58	nq	nq	PROPN
asir-788	178	1	c	c	PROPN
asir-788	178	2	p	p	NOUN
asir-788	178	3	nna	nna	PROPN
asir-788	178	4	k	k	PROPN
asir-788	178	5	nr	nr	PROPN
asir-788	178	6	nq	nq	PROPN
asir-788	178	7	c	c	PROPN
asir-788	178	8	peqp	peqp	PROPN
asir-788	178	9			NUM
asir-788	178	10			NUM
asir-788	178	11			PROPN
asir-788	178	12			NUM
asir-788	178	13			PROPN
asir-788	178	14			PROPN
asir-788	178	15			PROPN
asir-788	178	16	,	,	PUNCT
asir-788	178	17	and	and	CCONJ
asir-788	178	18	)	)	PUNCT
asir-788	178	19	)	)	PUNCT
asir-788	178	20	(	(	PUNCT
asir-788	178	21	(	(	PUNCT
asir-788	178	22	)	)	PUNCT
asir-788	178	23	)	)	PUNCT
asir-788	178	24	(	(	PUNCT
asir-788	178	25	(	(	PUNCT
asir-788	178	26	31	31	NUM
asir-788	178	27	2	2	NUM
asir-788	178	28	22	22	NUM
asir-788	178	29	2	2	NUM
asir-788	178	30	22	22	NUM
asir-788	178	31	22	22	NUM
asir-788	178	32	2	2	NUM
asir-788	178	33	2	2	NUM
asir-788	178	34	1	1	NUM
asir-788	178	35	112131212	112131212	NUM
asir-788	178	36	11	11	NUM
asir-788	178	37	1	1	NUM
asir-788	178	38	1222	1222	NUM
asir-788	178	39			NUM
asir-788	178	40			PROPN
asir-788	178	41			NUM
asir-788	178	42			NOUN
asir-788	178	43			NUM
asir-788	178	44			PROPN
asir-788	178	45	nna	nna	NOUN
asir-788	178	46	k	k	PROPN
asir-788	178	47	nr	nr	PRON
asir-788	178	48	nq	nq	PROPN
asir-788	178	49	c	c	PROPN
asir-788	178	50	p	p	PROPN
asir-788	178	51	k	k	PROPN
asir-788	178	52	nrnnaa	nrnnaa	PROPN
asir-788	178	53	nq	nq	PROPN
asir-788	178	54	c	c	PROPN
asir-788	178	55	peqp	peqp	PROPN
asir-788	178	56			PROPN
asir-788	178	57	from	from	ADP
asir-788	178	58	these	these	PRON
asir-788	178	59	we	we	PRON
asir-788	178	60	get	get	VERB
asir-788	178	61	the	the	DET
asir-788	178	62	following	follow	VERB
asir-788	178	63	expressions	expression	NOUN
asir-788	178	64	of	of	ADP
asir-788	178	65	harvesting	harvesting	NOUN
asir-788	178	66	efforts	effort	NOUN
asir-788	178	67	,	,	PUNCT
asir-788	178	68	)	)	PUNCT
asir-788	178	69	]	]	PUNCT
asir-788	178	70	)	)	PUNCT
asir-788	178	71	(	(	PUNCT
asir-788	178	72	(	(	PUNCT
asir-788	178	73	)	)	PUNCT
asir-788	178	74	)	)	PUNCT
asir-788	178	75	(	(	PUNCT
asir-788	178	76	[	[	X
asir-788	178	77	(	(	PUNCT
asir-788	178	78	1	1	NUM
asir-788	178	79	2	2	NUM
asir-788	178	80	221232211	221232211	NUM
asir-788	178	81	22	22	NUM
asir-788	178	82	2	2	NUM
asir-788	178	83	2	2	NUM
asir-788	178	84	31	31	NUM
asir-788	178	85	2	2	NUM
asir-788	178	86	11	11	NUM
asir-788	178	87	1	1	NUM
asir-788	178	88	11	11	NUM
asir-788	178	89	11	11	NUM
asir-788	178	90	1	1	NUM
asir-788	178	91	1	1	NUM
asir-788	178	92	11	11	NUM
asir-788	178	93	1	1	NUM
asir-788	178	94	k	k	PROPN
asir-788	178	95	nrnnaa	nrnnaa	PROPN
asir-788	178	96	nq	nq	PROPN
asir-788	179	1	c	c	PROPN
asir-788	179	2	p	p	NOUN
asir-788	179	3	nna	nna	PROPN
asir-788	179	4	k	k	PROPN
asir-788	179	5	nr	nr	PROPN
asir-788	179	6	nq	nq	PROPN
asir-788	179	7	c	c	PROPN
asir-788	179	8	p	p	NOUN
asir-788	179	9	qp	qp	ADP
asir-788	179	10	e	e	X
asir-788	179	11			X
asir-788	179	12			PROPN
asir-788	179	13			PROPN
asir-788	179	14			NUM
asir-788	179	15			PROPN
asir-788	179	16			NUM
asir-788	179	17			PROPN
asir-788	179	18	(	(	PUNCT
asir-788	179	19	32	32	NUM
asir-788	179	20	)	)	PUNCT
asir-788	179	21	)	)	PUNCT
asir-788	179	22	]	]	PUNCT
asir-788	179	23	)	)	PUNCT
asir-788	179	24	(	(	PUNCT
asir-788	179	25	(	(	PUNCT
asir-788	179	26	)	)	PUNCT
asir-788	179	27	)	)	PUNCT
asir-788	179	28	(	(	PUNCT
asir-788	179	29	[	[	X
asir-788	179	30	(	(	PUNCT
asir-788	179	31	1	1	NUM
asir-788	179	32	31	31	NUM
asir-788	179	33	2	2	NUM
asir-788	179	34	22	22	NUM
asir-788	179	35	2	2	NUM
asir-788	179	36	22	22	NUM
asir-788	179	37	22	22	NUM
asir-788	179	38	2	2	NUM
asir-788	179	39	2	2	NUM
asir-788	179	40	1	1	NUM
asir-788	179	41	112131212	112131212	NUM
asir-788	179	42	11	11	NUM
asir-788	179	43	1	1	NUM
asir-788	179	44	1	1	NUM
asir-788	179	45	22	22	NUM
asir-788	179	46	2	2	NUM
asir-788	179	47			NUM
asir-788	179	48			PROPN
asir-788	179	49			NUM
asir-788	179	50			NOUN
asir-788	179	51			NUM
asir-788	179	52			PROPN
asir-788	179	53	nna	nna	NOUN
asir-788	179	54	k	k	PROPN
asir-788	179	55	nr	nr	PRON
asir-788	179	56	nq	nq	PROPN
asir-788	179	57	c	c	PROPN
asir-788	179	58	p	p	PROPN
asir-788	179	59	k	k	PROPN
asir-788	179	60	nrnnaa	nrnnaa	PROPN
asir-788	179	61	nq	nq	PROPN
asir-788	180	1	c	c	PROPN
asir-788	180	2	p	p	NOUN
asir-788	180	3	qp	qp	ADP
asir-788	180	4	e	e	PROPN
asir-788	180	5			CCONJ
asir-788	180	6	(	(	PUNCT
asir-788	180	7	33	33	NUM
asir-788	180	8	)	)	PUNCT
asir-788	180	9	hence	hence	ADV
asir-788	180	10	solving	solve	VERB
asir-788	180	11	the	the	DET
asir-788	180	12	steady	steady	ADJ
asir-788	180	13	state	state	NOUN
asir-788	180	14	equations	equation	NOUN
asir-788	180	15	together	together	ADV
asir-788	180	16	with	with	ADP
asir-788	180	17	(	(	PUNCT
asir-788	180	18	32	32	NUM
asir-788	180	19	)	)	PUNCT
asir-788	180	20	and	and	CCONJ
asir-788	180	21	(	(	PUNCT
asir-788	180	22	33	33	NUM
asir-788	180	23	)	)	PUNCT
asir-788	180	24	we	we	PRON
asir-788	180	25	get	get	VERB
asir-788	180	26	an	an	DET
asir-788	180	27	optimal	optimal	ADJ
asir-788	180	28	equilibrium	equilibrium	NOUN
asir-788	180	29	solution	solution	NOUN
asir-788	180	30			NOUN
asir-788	180	31			NOUN
asir-788	180	32	321	321	NUM
asir-788	180	33	,	,	PUNCT
asir-788	180	34	,	,	PUNCT
asir-788	180	35	nnn	nnn	NOUN
asir-788	180	36	and	and	CCONJ
asir-788	180	37	optimal	optimal	ADJ
asir-788	180	38	harvesting	harvesting	NOUN
asir-788	180	39	efforts	effort	NOUN
asir-788	180	40	1e	1e	NOUN
asir-788	180	41	and	and	CCONJ
asir-788	180	42	2e	2e	NOUN
asir-788	180	43	.	.	PUNCT
asir-788	181	1	6	6	X
asir-788	181	2	.	.	X
asir-788	181	3	numerical	numerical	PROPN
asir-788	181	4	simulation	simulation	PROPN
asir-788	181	5	example	example	NOUN
asir-788	181	6	1	1	NUM
asir-788	181	7	.	.	X
asir-788	182	1	for	for	ADP
asir-788	182	2	numerical	numerical	ADJ
asir-788	182	3	analysis	analysis	NOUN
asir-788	182	4	we	we	PRON
asir-788	182	5	first	first	ADV
asir-788	182	6	consider	consider	VERB
asir-788	182	7	the	the	DET
asir-788	182	8	following	follow	VERB
asir-788	182	9	set	set	NOUN
asir-788	182	10	of	of	ADP
asir-788	182	11	values	value	NOUN
asir-788	182	12	of	of	ADP
asir-788	182	13	parameters	parameter	NOUN
asir-788	182	14	,	,	PUNCT
asir-788	182	15	2.0,4.0,3.0,12,05.0,02.0,2.0	2.0,4.0,3.0,12,05.0,02.0,2.0	NUM
asir-788	182	16	,	,	PUNCT
asir-788	182	17	100,5.2,10,04.0,01.0,1.0,100,09.2	100,5.2,10,04.0,01.0,1.0,100,09.2	NUM
asir-788	182	18	21222`21	21222`21	NUM
asir-788	182	19	221111211	221111211	NUM
asir-788	182	20			VERB
asir-788	182	21			ADJ
asir-788	182	22	deqa	deqa	NOUN
asir-788	182	23	kreqakr	kreqakr	NOUN
asir-788	182	24			PROPN
asir-788	182	25			NOUN
asir-788	182	26	then	then	ADV
asir-788	182	27	the	the	DET
asir-788	182	28	equilibrium	equilibrium	NOUN
asir-788	182	29	points	point	NOUN
asir-788	182	30	are	be	AUX
asir-788	182	31	0p	0p	NUM
asir-788	182	32	(	(	PUNCT
asir-788	182	33	0,0,0	0,0,0	NOUN
asir-788	182	34	)	)	PUNCT
asir-788	182	35	,	,	PUNCT
asir-788	182	36	1p	1p	NUM
asir-788	182	37	(	(	PUNCT
asir-788	182	38	0,25,63.75	0,25,63.75	PROPN
asir-788	182	39	)	)	PUNCT
asir-788	182	40	,	,	PUNCT
asir-788	182	41	2p	2p	NUM
asir-788	182	42	(	(	PUNCT
asir-788	182	43	0,76,0	0,76,0	NOUN
asir-788	182	44	)	)	PUNCT
asir-788	182	45	,	,	PUNCT
asir-788	182	46	3p	3p	NUM
asir-788	182	47	(	(	PUNCT
asir-788	182	48	80.86124,0,0	80.86124,0,0	NOUN
asir-788	182	49	)	)	PUNCT
asir-788	182	50	,	,	PUNCT
asir-788	182	51	4p	4p	NUM
asir-788	182	52	(	(	PUNCT
asir-788	182	53	66.6666,0,29.6666	66.6666,0,29.6666	NUM
asir-788	182	54	)	)	PUNCT
asir-788	182	55	,	,	PUNCT
asir-788	182	56	5p	5p	NUM
asir-788	182	57	(	(	PUNCT
asir-788	182	58	90.2666,94.0533,0	90.2666,94.0533,0	NUM
asir-788	182	59	)	)	PUNCT
asir-788	182	60	,	,	PUNCT
asir-788	182	61	6p	6p	NUM
asir-788	182	62	(	(	PUNCT
asir-788	182	63	38.2647,10.6507,91.2527	38.2647,10.6507,91.2527	NUM
asir-788	182	64	)	)	PUNCT
asir-788	182	65	.	.	PUNCT
asir-788	183	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-788	183	2	applied	apply	VERB
asir-788	183	3	science	science	NOUN
asir-788	183	4	and	and	CCONJ
asir-788	183	5	innovative	innovative	ADJ
asir-788	183	6	research	research	NOUN
asir-788	183	7	vol	vol	NOUN
asir-788	183	8	.	.	PROPN
asir-788	184	1	1	1	NUM
asir-788	184	2	,	,	PUNCT
asir-788	184	3	no	no	INTJ
asir-788	184	4	.	.	NOUN
asir-788	184	5	1	1	NUM
asir-788	184	6	,	,	PUNCT
asir-788	184	7	2017	2017	NUM
asir-788	184	8	11	11	NUM
asir-788	184	9	published	publish	VERB
asir-788	184	10	by	by	ADP
asir-788	184	11	scholink	scholink	PROPN
asir-788	184	12	inc	inc	PROPN
asir-788	184	13	.	.	PROPN
asir-788	184	14	0	0	NUM
asir-788	185	1	10	10	NUM
asir-788	185	2	20	20	NUM
asir-788	185	3	30	30	NUM
asir-788	185	4	40	40	NUM
asir-788	185	5	50	50	NUM
asir-788	185	6	60	60	NUM
asir-788	185	7	70	70	NUM
asir-788	185	8	80	80	NUM
asir-788	185	9	90	90	NUM
asir-788	185	10	100	100	NUM
asir-788	185	11	0	0	NUM
asir-788	185	12	20	20	NUM
asir-788	185	13	40	40	NUM
asir-788	185	14	60	60	NUM
asir-788	185	15	80	80	NUM
asir-788	185	16	100	100	NUM
asir-788	185	17	120	120	NUM
asir-788	185	18	time	time	NOUN
asir-788	185	19	p	p	X
asir-788	185	20	o	o	X
asir-788	185	21	p	p	X
asir-788	185	22	u	u	X
asir-788	185	23	la	la	X
asir-788	185	24	ti	ti	X
asir-788	185	25	o	o	NOUN
asir-788	185	26	n	n	CCONJ
asir-788	185	27	n	n	CCONJ
asir-788	185	28	1	1	NUM
asir-788	185	29	species	specie	NOUN
asir-788	185	30	n	n	PRON
asir-788	185	31	2	2	NUM
asir-788	185	32	species	specie	NOUN
asir-788	185	33	n	n	PRON
asir-788	185	34	3	3	NUM
asir-788	185	35	species	specie	NOUN
asir-788	185	36	figure	figure	NOUN
asir-788	185	37	1	1	NUM
asir-788	185	38	.	.	PUNCT
asir-788	185	39	solution	solution	NOUN
asir-788	185	40	curves	curve	NOUN
asir-788	185	41	of	of	ADP
asir-788	185	42	the	the	DET
asir-788	185	43	species	specie	NOUN
asir-788	185	44	0	0	NUM
asir-788	186	1	50	50	NUM
asir-788	186	2	100	100	NUM
asir-788	186	3	150	150	NUM
asir-788	186	4	200	200	NUM
asir-788	186	5	250	250	NUM
asir-788	186	6	300	300	NUM
asir-788	186	7	350	350	NUM
asir-788	186	8	400	400	NUM
asir-788	186	9	450	450	NUM
asir-788	186	10	500	500	NUM
asir-788	186	11	10	10	NUM
asir-788	186	12	20	20	NUM
asir-788	186	13	30	30	NUM
asir-788	186	14	40	40	NUM
asir-788	186	15	50	50	NUM
asir-788	186	16	60	60	NUM
asir-788	186	17	70	70	NUM
asir-788	186	18	80	80	NUM
asir-788	186	19	time	time	NOUN
asir-788	186	20	p	p	X
asir-788	186	21	o	o	X
asir-788	186	22	p	p	X
asir-788	186	23	u	u	X
asir-788	186	24	la	la	X
asir-788	186	25	ti	ti	X
asir-788	186	26	o	o	NOUN
asir-788	186	27	n	n	CCONJ
asir-788	186	28	n	n	CCONJ
asir-788	186	29	1	1	NUM
asir-788	186	30	species	specie	NOUN
asir-788	186	31	n	n	PRON
asir-788	186	32	3	3	NUM
asir-788	186	33	species	specie	NOUN
asir-788	186	34	figure	figure	NOUN
asir-788	186	35	2	2	NUM
asir-788	186	36	.	.	PUNCT
asir-788	186	37	solution	solution	NOUN
asir-788	186	38	curves	curve	NOUN
asir-788	186	39	when	when	SCONJ
asir-788	186	40	the	the	DET
asir-788	186	41	prey	prey	NOUN
asir-788	186	42	species	species	NOUN
asir-788	186	43	n2	n2	NOUN
asir-788	186	44	is	be	AUX
asir-788	186	45	absent	absent	ADJ
asir-788	186	46	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-788	186	47	applied	apply	VERB
asir-788	186	48	science	science	NOUN
asir-788	186	49	and	and	CCONJ
asir-788	186	50	innovative	innovative	ADJ
asir-788	186	51	research	research	NOUN
asir-788	186	52	vol	vol	NOUN
asir-788	186	53	.	.	PROPN
asir-788	187	1	1	1	NUM
asir-788	187	2	,	,	PUNCT
asir-788	187	3	no	no	INTJ
asir-788	187	4	.	.	NOUN
asir-788	187	5	1	1	NUM
asir-788	187	6	,	,	PUNCT
asir-788	187	7	2017	2017	NUM
asir-788	187	8	12	12	NUM
asir-788	187	9	published	publish	VERB
asir-788	187	10	by	by	ADP
asir-788	187	11	scholink	scholink	PROPN
asir-788	187	12	inc	inc	PROPN
asir-788	187	13	.	.	PROPN
asir-788	187	14	0	0	NUM
asir-788	188	1	50	50	NUM
asir-788	188	2	100	100	NUM
asir-788	188	3	150	150	NUM
asir-788	188	4	200	200	NUM
asir-788	188	5	250	250	NUM
asir-788	188	6	300	300	NUM
asir-788	188	7	350	350	NUM
asir-788	188	8	400	400	NUM
asir-788	188	9	450	450	NUM
asir-788	188	10	500	500	NUM
asir-788	188	11	10	10	NUM
asir-788	188	12	20	20	NUM
asir-788	188	13	30	30	NUM
asir-788	188	14	40	40	NUM
asir-788	188	15	50	50	NUM
asir-788	188	16	60	60	NUM
asir-788	188	17	70	70	NUM
asir-788	188	18	time	time	NOUN
asir-788	188	19	p	p	X
asir-788	188	20	o	o	X
asir-788	188	21	p	p	X
asir-788	188	22	u	u	X
asir-788	188	23	la	la	X
asir-788	188	24	ti	ti	X
asir-788	188	25	o	o	NOUN
asir-788	188	26	n	n	CCONJ
asir-788	188	27	n	n	CCONJ
asir-788	188	28	2	2	NUM
asir-788	188	29	species	specie	NOUN
asir-788	188	30	n	n	PRON
asir-788	188	31	3	3	NUM
asir-788	188	32	species	specie	NOUN
asir-788	188	33	figure	figure	NOUN
asir-788	188	34	3	3	NUM
asir-788	188	35	.	.	PUNCT
asir-788	188	36	solution	solution	NOUN
asir-788	188	37	curves	curve	NOUN
asir-788	188	38	when	when	SCONJ
asir-788	188	39	the	the	DET
asir-788	188	40	prey	prey	NOUN
asir-788	188	41	species	specie	NOUN
asir-788	188	42	n1	n1	PROPN
asir-788	188	43	is	be	AUX
asir-788	188	44	absent	absent	ADJ
asir-788	188	45	0	0	NUM
asir-788	188	46	20	20	NUM
asir-788	188	47	40	40	NUM
asir-788	188	48	60	60	NUM
asir-788	188	49	0	0	NUM
asir-788	188	50	20	20	NUM
asir-788	188	51	40	40	NUM
asir-788	188	52	60	60	NUM
asir-788	188	53	80	80	NUM
asir-788	188	54	0	0	NUM
asir-788	188	55	20	20	NUM
asir-788	188	56	40	40	NUM
asir-788	188	57	60	60	NUM
asir-788	188	58	80	80	NUM
asir-788	188	59	100	100	NUM
asir-788	188	60	120	120	NUM
asir-788	188	61	n	n	NUM
asir-788	188	62	1	1	NUM
asir-788	188	63	-speciesn	-speciesn	NOUN
asir-788	188	64	2	2	NUM
asir-788	188	65	-species	-specie	NOUN
asir-788	188	66	n	n	NOUN
asir-788	188	67	3	3	NUM
asir-788	188	68	-s	-s	NOUN
asir-788	189	1	p	p	NOUN
asir-788	189	2	e	e	X
asir-788	189	3	c	c	X
asir-788	189	4	ie	ie	X
asir-788	189	5	s	s	PART
asir-788	189	6	figure	figure	NOUN
asir-788	189	7	4	4	NUM
asir-788	189	8	.	.	NOUN
asir-788	189	9	phase	phase	NOUN
asir-788	189	10	diagram	diagram	NOUN
asir-788	189	11	in	in	ADP
asir-788	189	12	terms	term	NOUN
asir-788	189	13	of	of	ADP
asir-788	189	14	the	the	DET
asir-788	189	15	values	value	NOUN
asir-788	189	16	of	of	ADP
asir-788	189	17	the	the	DET
asir-788	189	18	parameters	parameter	NOUN
asir-788	189	19	taken	take	VERB
asir-788	189	20	in	in	ADP
asir-788	189	21	example	example	NOUN
asir-788	189	22	1	1	NUM
asir-788	189	23	in	in	ADP
asir-788	189	24	figure	figure	NOUN
asir-788	189	25	1	1	NUM
asir-788	189	26	,	,	PUNCT
asir-788	189	27	we	we	PRON
asir-788	189	28	see	see	VERB
asir-788	189	29	the	the	DET
asir-788	189	30	solution	solution	NOUN
asir-788	189	31	curves	curve	NOUN
asir-788	189	32	which	which	PRON
asir-788	189	33	exhibits	exhibit	VERB
asir-788	189	34	the	the	DET
asir-788	189	35	stability	stability	NOUN
asir-788	189	36	of	of	ADP
asir-788	189	37	the	the	DET
asir-788	189	38	system	system	NOUN
asir-788	189	39	at	at	ADP
asir-788	189	40	6p	6p	NUM
asir-788	189	41	and	and	CCONJ
asir-788	189	42	in	in	ADP
asir-788	189	43	figure	figure	NOUN
asir-788	189	44	2	2	NUM
asir-788	189	45	,	,	PUNCT
asir-788	189	46	figure	figure	VERB
asir-788	189	47	3	3	NUM
asir-788	189	48	we	we	PRON
asir-788	189	49	see	see	VERB
asir-788	189	50	that	that	SCONJ
asir-788	189	51	in	in	ADP
asir-788	189	52	absence	absence	NOUN
asir-788	189	53	of	of	ADP
asir-788	189	54	one	one	NUM
asir-788	189	55	prey	prey	NOUN
asir-788	189	56	the	the	DET
asir-788	189	57	other	other	ADJ
asir-788	189	58	survives	survive	VERB
asir-788	189	59	in	in	ADP
asir-788	189	60	presence	presence	NOUN
asir-788	189	61	of	of	ADP
asir-788	189	62	the	the	DET
asir-788	189	63	predator	predator	NOUN
asir-788	189	64	also	also	ADV
asir-788	189	65	.	.	PUNCT
asir-788	190	1	thus	thus	ADV
asir-788	190	2	,	,	PUNCT
asir-788	190	3	this	this	DET
asir-788	190	4	numerical	numerical	ADJ
asir-788	190	5	example	example	NOUN
asir-788	190	6	supports	support	VERB
asir-788	190	7	our	our	PRON
asir-788	190	8	hypothesis	hypothesis	NOUN
asir-788	190	9	that	that	SCONJ
asir-788	190	10	the	the	DET
asir-788	190	11	facultative	facultative	ADJ
asir-788	190	12	mutualism	mutualism	NOUN
asir-788	190	13	is	be	AUX
asir-788	190	14	not	not	PART
asir-788	190	15	disturbed	disturb	VERB
asir-788	190	16	in	in	ADP
asir-788	190	17	the	the	DET
asir-788	190	18	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-788	190	19	applied	apply	VERB
asir-788	190	20	science	science	NOUN
asir-788	190	21	and	and	CCONJ
asir-788	190	22	innovative	innovative	ADJ
asir-788	190	23	research	research	NOUN
asir-788	190	24	vol	vol	NOUN
asir-788	190	25	.	.	PROPN
asir-788	191	1	1	1	NUM
asir-788	191	2	,	,	PUNCT
asir-788	191	3	no	no	INTJ
asir-788	191	4	.	.	NOUN
asir-788	191	5	1	1	NUM
asir-788	191	6	,	,	PUNCT
asir-788	191	7	2017	2017	NUM
asir-788	191	8	13	13	NUM
asir-788	191	9	published	publish	VERB
asir-788	191	10	by	by	ADP
asir-788	191	11	scholink	scholink	PROPN
asir-788	191	12	inc	inc	PROPN
asir-788	191	13	.	.	PROPN
asir-788	191	14	presence	presence	NOUN
asir-788	191	15	of	of	ADP
asir-788	191	16	the	the	DET
asir-788	191	17	predator	predator	NOUN
asir-788	191	18	.	.	PUNCT
asir-788	192	1	in	in	ADP
asir-788	192	2	figure	figure	NOUN
asir-788	192	3	4	4	NUM
asir-788	192	4	,	,	PUNCT
asir-788	192	5	we	we	PRON
asir-788	192	6	see	see	VERB
asir-788	192	7	that	that	PRON
asir-788	192	8	for	for	ADP
asir-788	192	9	the	the	DET
asir-788	192	10	considered	consider	VERB
asir-788	192	11	values	value	NOUN
asir-788	192	12	of	of	ADP
asir-788	192	13	the	the	DET
asir-788	192	14	parameters	parameter	NOUN
asir-788	192	15	the	the	DET
asir-788	192	16	system	system	NOUN
asir-788	192	17	is	be	AUX
asir-788	192	18	also	also	ADV
asir-788	192	19	globally	globally	ADV
asir-788	192	20	stable	stable	ADJ
asir-788	192	21	.	.	PUNCT
asir-788	193	1	example	example	NOUN
asir-788	194	1	2	2	NUM
asir-788	194	2	.	.	X
asir-788	194	3	we	we	PRON
asir-788	194	4	consider	consider	VERB
asir-788	194	5	the	the	DET
asir-788	194	6	following	follow	VERB
asir-788	194	7	set	set	NOUN
asir-788	194	8	of	of	ADP
asir-788	194	9	values	value	NOUN
asir-788	194	10	of	of	ADP
asir-788	194	11	parameters	parameter	NOUN
asir-788	194	12	for	for	ADP
asir-788	194	13	numerical	numerical	ADJ
asir-788	194	14	analysis	analysis	NOUN
asir-788	194	15	of	of	ADP
asir-788	194	16	optimal	optimal	ADJ
asir-788	194	17	equilibrium	equilibrium	NOUN
asir-788	194	18	.	.	PUNCT
asir-788	195	1	04.0,6,5,15,10,2.0,4.0,3.0,05.0	04.0,6,5,15,10,2.0,4.0,3.0,05.0	ADJ
asir-788	195	2	,	,	PUNCT
asir-788	195	3	02.0,2.0,100,5.2,04.0,01.0,1.0,100,09.2	02.0,2.0,100,5.2,04.0,01.0,1.0,100,09.2	PROPN
asir-788	195	4	2121212	2121212	NUM
asir-788	195	5	2`2122111211	2`2122111211	NUM
asir-788	196	1			PROPN
asir-788	196	2			PROPN
asir-788	196	3			NOUN
asir-788	196	4			PRON
asir-788	196	5	ccppdq	ccppdq	NOUN
asir-788	196	6	akrqakr	akrqakr	NOUN
asir-788	196	7	then	then	ADV
asir-788	196	8	optimal	optimal	ADJ
asir-788	196	9	harvesting	harvesting	NOUN
asir-788	196	10	efforts	effort	NOUN
asir-788	196	11	are	be	AUX
asir-788	196	12	,	,	PUNCT
asir-788	196	13	9632.131	9632.131	NUM
asir-788	196	14	e	e	NOUN
asir-788	196	15	,	,	PUNCT
asir-788	196	16	4487.322	4487.322	NUM
asir-788	196	17	e	e	PROPN
asir-788	196	18	and	and	CCONJ
asir-788	196	19	corresponding	correspond	VERB
asir-788	196	20	optimal	optimal	ADJ
asir-788	196	21	equilibrium	equilibrium	NOUN
asir-788	196	22	point	point	NOUN
asir-788	196	23	is	be	AUX
asir-788	196	24	)	)	PUNCT
asir-788	196	25	823.48,082.6,529.50	823.48,082.6,529.50	NUM
asir-788	196	26	(	(	PUNCT
asir-788	196	27	)	)	PUNCT
asir-788	196	28	,	,	PUNCT
asir-788	196	29	,	,	PUNCT
asir-788	196	30	(	(	PUNCT
asir-788	196	31	321	321	NUM
asir-788	196	32			NOUN
asir-788	196	33	nnn	nnn	NOUN
asir-788	196	34	.	.	PUNCT
asir-788	197	1	from	from	ADP
asir-788	197	2	the	the	DET
asir-788	197	3	figure	figure	NOUN
asir-788	197	4	7	7	NUM
asir-788	197	5	and	and	CCONJ
asir-788	197	6	figure	figure	VERB
asir-788	197	7	8	8	NUM
asir-788	197	8	,	,	PUNCT
asir-788	197	9	it	it	PRON
asir-788	197	10	can	can	AUX
asir-788	197	11	be	be	AUX
asir-788	197	12	realized	realize	VERB
asir-788	197	13	that	that	SCONJ
asir-788	197	14	the	the	DET
asir-788	197	15	mutualism	mutualism	NOUN
asir-788	197	16	between	between	ADP
asir-788	197	17	the	the	DET
asir-788	197	18	prey	prey	NOUN
asir-788	197	19	species	specie	NOUN
asir-788	197	20	remains	remain	VERB
asir-788	197	21	facultative	facultative	ADJ
asir-788	197	22	even	even	ADV
asir-788	197	23	when	when	SCONJ
asir-788	197	24	optimal	optimal	ADJ
asir-788	197	25	harvesting	harvesting	NOUN
asir-788	197	26	efforts	effort	NOUN
asir-788	197	27	are	be	AUX
asir-788	197	28	used	use	VERB
asir-788	197	29	.	.	PUNCT
asir-788	198	1	0	0	NUM
asir-788	199	1	20	20	NUM
asir-788	199	2	40	40	NUM
asir-788	199	3	60	60	NUM
asir-788	199	4	80	80	NUM
asir-788	199	5	100	100	NUM
asir-788	199	6	120	120	NUM
asir-788	199	7	140	140	NUM
asir-788	199	8	160	160	NUM
asir-788	199	9	180	180	NUM
asir-788	199	10	200	200	NUM
asir-788	199	11	0	0	NUM
asir-788	199	12	10	10	NUM
asir-788	199	13	20	20	NUM
asir-788	199	14	30	30	NUM
asir-788	199	15	40	40	NUM
asir-788	199	16	50	50	NUM
asir-788	199	17	60	60	NUM
asir-788	199	18	70	70	NUM
asir-788	199	19	time	time	NOUN
asir-788	199	20	p	p	X
asir-788	199	21	o	o	X
asir-788	199	22	p	p	X
asir-788	199	23	u	u	X
asir-788	199	24	la	la	X
asir-788	199	25	ti	ti	X
asir-788	199	26	o	o	NOUN
asir-788	199	27	n	n	CCONJ
asir-788	199	28	n	n	CCONJ
asir-788	199	29	1	1	NUM
asir-788	199	30	species	specie	NOUN
asir-788	199	31	n	n	PRON
asir-788	199	32	2	2	NUM
asir-788	199	33	species	specie	NOUN
asir-788	199	34	n	n	PRON
asir-788	199	35	3	3	NUM
asir-788	199	36	species	specie	NOUN
asir-788	199	37	figure	figure	NOUN
asir-788	199	38	5	5	NUM
asir-788	199	39	.	.	PUNCT
asir-788	200	1	optimal	optimal	ADJ
asir-788	200	2	solution	solution	NOUN
asir-788	200	3	curves	curve	VERB
asir-788	200	4	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-788	200	5	applied	apply	VERB
asir-788	200	6	science	science	NOUN
asir-788	200	7	and	and	CCONJ
asir-788	200	8	innovative	innovative	ADJ
asir-788	200	9	research	research	NOUN
asir-788	200	10	vol	vol	NOUN
asir-788	200	11	.	.	PROPN
asir-788	201	1	1	1	NUM
asir-788	201	2	,	,	PUNCT
asir-788	201	3	no	no	INTJ
asir-788	201	4	.	.	NOUN
asir-788	201	5	1	1	NUM
asir-788	201	6	,	,	PUNCT
asir-788	201	7	2017	2017	NUM
asir-788	201	8	14	14	NUM
asir-788	201	9	published	publish	VERB
asir-788	201	10	by	by	ADP
asir-788	201	11	scholink	scholink	PROPN
asir-788	201	12	inc	inc	PROPN
asir-788	201	13	.	.	PROPN
asir-788	201	14	0	0	NUM
asir-788	201	15	20	20	NUM
asir-788	201	16	40	40	NUM
asir-788	201	17	60	60	NUM
asir-788	201	18	80	80	NUM
asir-788	201	19	100	100	NUM
asir-788	201	20	0	0	NUM
asir-788	201	21	20	20	NUM
asir-788	201	22	40	40	NUM
asir-788	201	23	60	60	NUM
asir-788	201	24	80	80	NUM
asir-788	201	25	0	0	NUM
asir-788	201	26	20	20	NUM
asir-788	201	27	40	40	NUM
asir-788	201	28	60	60	NUM
asir-788	201	29	80	80	NUM
asir-788	201	30	100	100	NUM
asir-788	201	31	n	n	CCONJ
asir-788	201	32	1	1	NUM
asir-788	201	33	-speciesn	-speciesn	NOUN
asir-788	201	34	2	2	NUM
asir-788	201	35	-species	-specie	NOUN
asir-788	201	36	n	n	NOUN
asir-788	201	37	3	3	NUM
asir-788	201	38	-s	-s	NOUN
asir-788	202	1	p	p	NOUN
asir-788	202	2	e	e	X
asir-788	202	3	c	c	X
asir-788	202	4	ie	ie	X
asir-788	202	5	s	s	PART
asir-788	202	6	figure	figure	NOUN
asir-788	202	7	6	6	NUM
asir-788	202	8	.	.	NOUN
asir-788	202	9	phase	phase	NOUN
asir-788	202	10	diagram	diagram	NOUN
asir-788	202	11	corresponding	correspond	VERB
asir-788	202	12	to	to	ADP
asir-788	202	13	the	the	DET
asir-788	202	14	optimal	optimal	ADJ
asir-788	202	15	harvesting	harvesting	NOUN
asir-788	202	16	efforts	effort	NOUN
asir-788	202	17	0	0	NUM
asir-788	203	1	50	50	NUM
asir-788	203	2	100	100	NUM
asir-788	203	3	150	150	NUM
asir-788	203	4	200	200	NUM
asir-788	203	5	250	250	NUM
asir-788	203	6	300	300	NUM
asir-788	203	7	350	350	NUM
asir-788	203	8	400	400	NUM
asir-788	203	9	450	450	NUM
asir-788	203	10	500	500	NUM
asir-788	203	11	10	10	NUM
asir-788	203	12	12	12	NUM
asir-788	203	13	14	14	NUM
asir-788	203	14	16	16	NUM
asir-788	203	15	18	18	NUM
asir-788	203	16	20	20	NUM
asir-788	203	17	22	22	NUM
asir-788	203	18	24	24	NUM
asir-788	203	19	26	26	NUM
asir-788	203	20	time	time	NOUN
asir-788	203	21	p	p	X
asir-788	203	22	o	o	X
asir-788	203	23	p	p	X
asir-788	203	24	u	u	X
asir-788	203	25	la	la	X
asir-788	203	26	ti	ti	X
asir-788	203	27	o	o	NOUN
asir-788	203	28	n	n	CCONJ
asir-788	203	29	n	n	CCONJ
asir-788	203	30	2	2	NUM
asir-788	203	31	species	specie	NOUN
asir-788	203	32	n	n	PRON
asir-788	203	33	3	3	NUM
asir-788	203	34	species	specie	NOUN
asir-788	203	35	figure	figure	NOUN
asir-788	203	36	7	7	NUM
asir-788	203	37	.	.	PUNCT
asir-788	204	1	solution	solution	NOUN
asir-788	204	2	curves	curve	NOUN
asir-788	204	3	showing	show	VERB
asir-788	204	4	survival	survival	NOUN
asir-788	204	5	of	of	ADP
asir-788	204	6	n2	n2	ADJ
asir-788	204	7	species	specie	NOUN
asir-788	204	8	in	in	ADP
asir-788	204	9	absence	absence	NOUN
asir-788	204	10	of	of	ADP
asir-788	204	11	n1	n1	ADJ
asir-788	204	12	species	specie	NOUN
asir-788	204	13	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-788	204	14	applied	apply	VERB
asir-788	204	15	science	science	NOUN
asir-788	204	16	and	and	CCONJ
asir-788	204	17	innovative	innovative	ADJ
asir-788	204	18	research	research	NOUN
asir-788	204	19	vol	vol	NOUN
asir-788	204	20	.	.	PROPN
asir-788	205	1	1	1	NUM
asir-788	205	2	,	,	PUNCT
asir-788	205	3	no	no	INTJ
asir-788	205	4	.	.	NOUN
asir-788	205	5	1	1	NUM
asir-788	205	6	,	,	PUNCT
asir-788	205	7	2017	2017	NUM
asir-788	205	8	15	15	NUM
asir-788	205	9	published	publish	VERB
asir-788	205	10	by	by	ADP
asir-788	205	11	scholink	scholink	PROPN
asir-788	205	12	inc	inc	PROPN
asir-788	205	13	.	.	PROPN
asir-788	205	14	0	0	NUM
asir-788	206	1	10	10	NUM
asir-788	206	2	20	20	NUM
asir-788	206	3	30	30	NUM
asir-788	206	4	40	40	NUM
asir-788	206	5	50	50	NUM
asir-788	206	6	60	60	NUM
asir-788	206	7	70	70	NUM
asir-788	206	8	80	80	NUM
asir-788	206	9	90	90	NUM
asir-788	206	10	100	100	NUM
asir-788	206	11	10	10	NUM
asir-788	206	12	20	20	NUM
asir-788	206	13	30	30	NUM
asir-788	206	14	40	40	NUM
asir-788	206	15	50	50	NUM
asir-788	206	16	60	60	NUM
asir-788	206	17	70	70	NUM
asir-788	206	18	time	time	NOUN
asir-788	206	19	p	p	X
asir-788	206	20	o	o	X
asir-788	206	21	p	p	X
asir-788	206	22	u	u	X
asir-788	206	23	la	la	X
asir-788	206	24	ti	ti	X
asir-788	206	25	o	o	NOUN
asir-788	206	26	n	n	CCONJ
asir-788	206	27	n	n	CCONJ
asir-788	206	28	1	1	NUM
asir-788	206	29	species	specie	NOUN
asir-788	206	30	n	n	PRON
asir-788	206	31	3	3	NUM
asir-788	206	32	species	specie	NOUN
asir-788	206	33	figure	figure	NOUN
asir-788	206	34	8	8	NUM
asir-788	206	35	.	.	PUNCT
asir-788	207	1	solution	solution	NOUN
asir-788	207	2	curves	curve	NOUN
asir-788	207	3	showing	show	VERB
asir-788	207	4	survival	survival	NOUN
asir-788	207	5	of	of	ADP
asir-788	207	6	n1	n1	ADJ
asir-788	207	7	species	specie	NOUN
asir-788	207	8	in	in	ADP
asir-788	207	9	absence	absence	NOUN
asir-788	207	10	of	of	ADP
asir-788	207	11	n2	n2	ADJ
asir-788	207	12	species	specie	NOUN
asir-788	207	13	7	7	NUM
asir-788	207	14	.	.	PUNCT
asir-788	207	15	conclusion	conclusion	NOUN
asir-788	207	16	in	in	ADP
asir-788	207	17	this	this	DET
asir-788	207	18	paper	paper	NOUN
asir-788	207	19	,	,	PUNCT
asir-788	207	20	we	we	PRON
asir-788	207	21	have	have	AUX
asir-788	207	22	presented	present	VERB
asir-788	207	23	a	a	DET
asir-788	207	24	mutualism	mutualism	NOUN
asir-788	207	25	model	model	NOUN
asir-788	207	26	with	with	ADP
asir-788	207	27	independent	independent	ADJ
asir-788	207	28	harvesting	harvesting	NOUN
asir-788	207	29	efforts	effort	NOUN
asir-788	207	30	on	on	ADP
asir-788	207	31	mutualist	mutualist	ADJ
asir-788	207	32	prey	prey	NOUN
asir-788	207	33	species	specie	NOUN
asir-788	207	34	in	in	ADP
asir-788	207	35	presence	presence	NOUN
asir-788	207	36	of	of	ADP
asir-788	207	37	a	a	DET
asir-788	207	38	predator	predator	NOUN
asir-788	207	39	.	.	PUNCT
asir-788	208	1	during	during	ADP
asir-788	208	2	equilibrium	equilibrium	NOUN
asir-788	208	3	analysis	analysis	NOUN
asir-788	208	4	and	and	CCONJ
asir-788	208	5	numerical	numerical	PROPN
asir-788	208	6	simulation	simulation	NOUN
asir-788	208	7	we	we	PRON
asir-788	208	8	have	have	AUX
asir-788	208	9	seen	see	VERB
asir-788	208	10	that	that	SCONJ
asir-788	208	11	the	the	DET
asir-788	208	12	predator	predator	NOUN
asir-788	208	13	survives	survive	VERB
asir-788	208	14	even	even	ADV
asir-788	208	15	when	when	SCONJ
asir-788	208	16	one	one	NUM
asir-788	208	17	species	specie	NOUN
asir-788	208	18	is	be	AUX
asir-788	208	19	extinct	extinct	ADJ
asir-788	208	20	.	.	PUNCT
asir-788	209	1	the	the	DET
asir-788	209	2	important	important	ADJ
asir-788	209	3	fact	fact	NOUN
asir-788	209	4	is	be	AUX
asir-788	209	5	that	that	SCONJ
asir-788	209	6	the	the	DET
asir-788	209	7	mutualism	mutualism	NOUN
asir-788	209	8	remains	remain	VERB
asir-788	209	9	facultative	facultative	ADJ
asir-788	209	10	in	in	ADP
asir-788	209	11	presence	presence	NOUN
asir-788	209	12	of	of	ADP
asir-788	209	13	the	the	DET
asir-788	209	14	predator	predator	NOUN
asir-788	209	15	.	.	PUNCT
asir-788	210	1	this	this	PRON
asir-788	210	2	is	be	AUX
asir-788	210	3	due	due	ADJ
asir-788	210	4	to	to	ADP
asir-788	210	5	the	the	DET
asir-788	210	6	survival	survival	NOUN
asir-788	210	7	of	of	ADP
asir-788	210	8	one	one	NUM
asir-788	210	9	species	specie	NOUN
asir-788	210	10	in	in	ADP
asir-788	210	11	absence	absence	NOUN
asir-788	210	12	of	of	ADP
asir-788	210	13	other	other	ADJ
asir-788	210	14	and	and	CCONJ
asir-788	210	15	in	in	ADP
asir-788	210	16	presence	presence	NOUN
asir-788	210	17	of	of	ADP
asir-788	210	18	the	the	DET
asir-788	210	19	predator	predator	NOUN
asir-788	210	20	.	.	PUNCT
asir-788	211	1	we	we	PRON
asir-788	211	2	derive	derive	VERB
asir-788	211	3	the	the	DET
asir-788	211	4	optimal	optimal	ADJ
asir-788	211	5	harvesting	harvesting	NOUN
asir-788	211	6	policy	policy	NOUN
asir-788	211	7	and	and	CCONJ
asir-788	211	8	numerically	numerically	ADV
asir-788	211	9	the	the	DET
asir-788	211	10	optimal	optimal	ADJ
asir-788	211	11	equilibrium	equilibrium	NOUN
asir-788	211	12	,	,	PUNCT
asir-788	211	13	optimal	optimal	ADJ
asir-788	211	14	harvesting	harvesting	NOUN
asir-788	211	15	efforts	effort	NOUN
asir-788	211	16	are	be	AUX
asir-788	211	17	obtained	obtain	VERB
asir-788	211	18	.	.	PUNCT
asir-788	212	1	numerical	numerical	PROPN
asir-788	212	2	illustrations	illustration	NOUN
asir-788	212	3	show	show	VERB
asir-788	212	4	that	that	SCONJ
asir-788	212	5	,	,	PUNCT
asir-788	212	6	the	the	DET
asir-788	212	7	mutualism	mutualism	NOUN
asir-788	212	8	remains	remain	VERB
asir-788	212	9	facultative	facultative	ADJ
asir-788	212	10	even	even	ADV
asir-788	212	11	when	when	SCONJ
asir-788	212	12	optimal	optimal	ADJ
asir-788	212	13	harvesting	harvesting	NOUN
asir-788	212	14	efforts	effort	NOUN
asir-788	212	15	are	be	AUX
asir-788	212	16	used	use	VERB
asir-788	212	17	on	on	ADP
asir-788	212	18	prey	prey	PROPN
asir-788	212	19	species	specie	NOUN
asir-788	212	20	.	.	PUNCT
asir-788	213	1	this	this	DET
asir-788	213	2	paper	paper	NOUN
asir-788	213	3	includes	include	VERB
asir-788	213	4	simple	simple	ADJ
asir-788	213	5	linear	linear	ADJ
asir-788	213	6	predation	predation	NOUN
asir-788	213	7	functions	function	NOUN
asir-788	213	8	and	and	CCONJ
asir-788	213	9	does	do	AUX
asir-788	213	10	not	not	PART
asir-788	213	11	include	include	VERB
asir-788	213	12	obligate	obligate	NOUN
asir-788	213	13	mutualism	mutualism	NOUN
asir-788	213	14	between	between	ADP
asir-788	213	15	the	the	DET
asir-788	213	16	prey	prey	NOUN
asir-788	213	17	species	specie	NOUN
asir-788	213	18	.	.	PUNCT
asir-788	214	1	we	we	PRON
asir-788	214	2	used	use	VERB
asir-788	214	3	mat	mat	NOUN
asir-788	214	4	lab	lab	NOUN
asir-788	214	5	for	for	ADP
asir-788	214	6	numerical	numerical	ADJ
asir-788	214	7	calculations	calculation	NOUN
asir-788	214	8	and	and	CCONJ
asir-788	214	9	graphs	graph	NOUN
asir-788	214	10	.	.	PUNCT
asir-788	215	1	acknowledgement	acknowledgement	NOUN
asir-788	215	2	the	the	DET
asir-788	215	3	research	research	NOUN
asir-788	215	4	of	of	ADP
asir-788	215	5	dr	dr	PROPN
asir-788	215	6	.	.	PROPN
asir-788	215	7	saroj	saroj	PROPN
asir-788	215	8	kumar	kumar	PROPN
asir-788	215	9	chattopadhyay	chattopadhyay	PROPN
asir-788	215	10	is	be	AUX
asir-788	215	11	financed	finance	VERB
asir-788	215	12	by	by	ADP
asir-788	215	13	the	the	DET
asir-788	215	14	university	university	NOUN
asir-788	215	15	grants	grant	NOUN
asir-788	215	16	commission	commission	PROPN
asir-788	215	17	of	of	ADP
asir-788	215	18	india	india	PROPN
asir-788	215	19	(	(	PUNCT
asir-788	215	20	f.no.psw-184/14	f.no.psw-184/14	VERB
asir-788	215	21	-	-	SYM
asir-788	215	22	15	15	NUM
asir-788	215	23	(	(	PUNCT
asir-788	215	24	ero	ero	PROPN
asir-788	215	25	)	)	PUNCT
asir-788	215	26	)	)	PUNCT
asir-788	215	27	.	.	PUNCT
asir-788	216	1	references	reference	NOUN
asir-788	216	2	clark	clark	PROPN
asir-788	216	3	,	,	PUNCT
asir-788	216	4	c.	c.	PROPN
asir-788	216	5	w.	w.	PROPN
asir-788	216	6	(	(	PUNCT
asir-788	216	7	1985	1985	NUM
asir-788	216	8	)	)	PUNCT
asir-788	216	9	.	.	PUNCT
asir-788	217	1	bioeconomic	bioeconomic	ADJ
asir-788	217	2	modelling	modelling	NOUN
asir-788	217	3	and	and	CCONJ
asir-788	217	4	fisheries	fishery	NOUN
asir-788	217	5	management	management	NOUN
asir-788	217	6	.	.	PUNCT
asir-788	218	1	wiley	wiley	PROPN
asir-788	218	2	,	,	PUNCT
asir-788	218	3	new	new	PROPN
asir-788	218	4	york	york	PROPN
asir-788	218	5	.	.	PUNCT
asir-788	219	1	clark	clark	PROPN
asir-788	219	2	,	,	PUNCT
asir-788	219	3	c.	c.	PROPN
asir-788	219	4	w.	w.	PROPN
asir-788	219	5	(	(	PUNCT
asir-788	219	6	1990	1990	NUM
asir-788	219	7	)	)	PUNCT
asir-788	219	8	.	.	PUNCT
asir-788	220	1	mathematical	mathematical	ADJ
asir-788	220	2	bioeconomics	bioeconomic	NOUN
asir-788	220	3	:	:	PUNCT
asir-788	220	4	the	the	DET
asir-788	220	5	optimal	optimal	ADJ
asir-788	220	6	management	management	NOUN
asir-788	220	7	of	of	ADP
asir-788	220	8	renewable	renewable	ADJ
asir-788	220	9	resources	resource	NOUN
asir-788	220	10	.	.	PUNCT
asir-788	221	1	john	john	PROPN
asir-788	221	2	wiley	wiley	PROPN
asir-788	221	3	&	&	CCONJ
asir-788	221	4	sons	son	NOUN
asir-788	221	5	,	,	PUNCT
asir-788	221	6	new	new	PROPN
asir-788	221	7	york	york	PROPN
asir-788	221	8	.	.	PUNCT
asir-788	222	1	dai	dai	PROPN
asir-788	222	2	,	,	PUNCT
asir-788	222	3	g.	g.	PROPN
asir-788	222	4	,	,	PUNCT
asir-788	222	5	&	&	CCONJ
asir-788	222	6	tang	tang	PROPN
asir-788	222	7	,	,	PUNCT
asir-788	222	8	m.	m.	NOUN
asir-788	222	9	(	(	PUNCT
asir-788	222	10	1998	1998	NUM
asir-788	222	11	)	)	PUNCT
asir-788	222	12	.	.	PUNCT
asir-788	223	1	coexistence	coexistence	NOUN
asir-788	223	2	region	region	NOUN
asir-788	223	3	and	and	CCONJ
asir-788	223	4	global	global	ADJ
asir-788	223	5	dynamics	dynamic	NOUN
asir-788	223	6	of	of	ADP
asir-788	223	7	harvested	harvest	VERB
asir-788	223	8	predator	predator	NOUN
asir-788	223	9	-	-	PUNCT
asir-788	223	10	prey	prey	NOUN
asir-788	223	11	system	system	NOUN
asir-788	223	12	.	.	PUNCT
asir-788	224	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-788	224	2	applied	apply	VERB
asir-788	224	3	science	science	NOUN
asir-788	224	4	and	and	CCONJ
asir-788	224	5	innovative	innovative	ADJ
asir-788	224	6	research	research	NOUN
asir-788	224	7	vol	vol	NOUN
asir-788	224	8	.	.	PROPN
asir-788	225	1	1	1	NUM
asir-788	225	2	,	,	PUNCT
asir-788	225	3	no	no	INTJ
asir-788	225	4	.	.	NOUN
asir-788	225	5	1	1	NUM
asir-788	225	6	,	,	PUNCT
asir-788	225	7	2017	2017	NUM
asir-788	225	8	16	16	NUM
asir-788	225	9	published	publish	VERB
asir-788	225	10	by	by	ADP
asir-788	225	11	scholink	scholink	PROPN
asir-788	225	12	inc	inc	PROPN
asir-788	225	13	.	.	PROPN
asir-788	225	14	siam	siam	PROPN
asir-788	225	15	j.	j.	PROPN
asir-788	225	16	appl	appl	PROPN
asir-788	225	17	.	.	PROPN
asir-788	225	18	math	math	PROPN
asir-788	225	19	.	.	PUNCT
asir-788	226	1	,	,	PUNCT
asir-788	226	2	13	13	NUM
asir-788	226	3	,	,	PUNCT
asir-788	226	4	193	193	NUM
asir-788	226	5	-	-	SYM
asir-788	226	6	210	210	NUM
asir-788	226	7	.	.	PUNCT
asir-788	227	1	https://doi.org/10.1137/s0036139994275799	https://doi.org/10.1137/s0036139994275799	PROPN
asir-788	227	2	janzen	janzen	PROPN
asir-788	227	3	,	,	PUNCT
asir-788	227	4	d.	d.	PROPN
asir-788	227	5	h.	h.	PROPN
asir-788	227	6	(	(	PUNCT
asir-788	227	7	1985	1985	NUM
asir-788	227	8	)	)	PUNCT
asir-788	227	9	.	.	PUNCT
asir-788	228	1	the	the	DET
asir-788	228	2	natural	natural	ADJ
asir-788	228	3	history	history	NOUN
asir-788	228	4	of	of	ADP
asir-788	228	5	mutualisms	mutualism	NOUN
asir-788	228	6	.	.	PUNCT
asir-788	229	1	in	in	ADP
asir-788	229	2	d.	d.	PROPN
asir-788	229	3	h.	h.	PROPN
asir-788	229	4	boucher	boucher	PROPN
asir-788	229	5	(	(	PUNCT
asir-788	229	6	ed	ed	NOUN
asir-788	229	7	.	.	PUNCT
asir-788	229	8	)	)	PUNCT
asir-788	229	9	,	,	PUNCT
asir-788	229	10	the	the	DET
asir-788	229	11	biology	biology	NOUN
asir-788	229	12	of	of	ADP
asir-788	229	13	mutualism	mutualism	NOUN
asir-788	229	14	(	(	PUNCT
asir-788	229	15	pp	pp	ADJ
asir-788	229	16	.	.	PUNCT
asir-788	229	17	40	40	NUM
asir-788	229	18	-	-	SYM
asir-788	229	19	99	99	NUM
asir-788	229	20	)	)	PUNCT
asir-788	229	21	.	.	PUNCT
asir-788	230	1	oxford	oxford	PROPN
asir-788	230	2	university	university	PROPN
asir-788	230	3	press	press	NOUN
asir-788	230	4	,	,	PUNCT
asir-788	230	5	oxford	oxford	PROPN
asir-788	230	6	.	.	PUNCT
asir-788	231	1	kar	kar	PROPN
asir-788	231	2	,	,	PUNCT
asir-788	231	3	t.	t.	PROPN
asir-788	231	4	k.	k.	PROPN
asir-788	231	5	,	,	PUNCT
asir-788	231	6	&	&	CCONJ
asir-788	231	7	chaudhuri	chaudhuri	PROPN
asir-788	231	8	,	,	PUNCT
asir-788	231	9	k.	k.	PROPN
asir-788	231	10	s.	s.	PROPN
asir-788	231	11	(	(	PUNCT
asir-788	231	12	2004	2004	NUM
asir-788	231	13	)	)	PUNCT
asir-788	231	14	.	.	PUNCT
asir-788	232	1	harvesting	harvesting	NOUN
asir-788	232	2	in	in	ADP
asir-788	232	3	a	a	DET
asir-788	232	4	two	two	NUM
asir-788	232	5	prey	prey	NOUN
asir-788	232	6	one	one	NUM
asir-788	232	7	predator	predator	NOUN
asir-788	232	8	system	system	NOUN
asir-788	232	9	:	:	PUNCT
asir-788	232	10	a	a	DET
asir-788	232	11	bioeconomic	bioeconomic	ADJ
asir-788	232	12	model	model	NOUN
asir-788	232	13	.	.	PUNCT
asir-788	233	1	anziam	anziam	PROPN
asir-788	233	2	j.	j.	PROPN
asir-788	233	3	,	,	PUNCT
asir-788	233	4	45	45	NUM
asir-788	233	5	,	,	PUNCT
asir-788	233	6	443	443	NUM
asir-788	233	7	-	-	SYM
asir-788	233	8	456	456	NUM
asir-788	233	9	.	.	PUNCT
asir-788	234	1	https://doi.org/10.1017/s144618110001347x	https://doi.org/10.1017/s144618110001347x	PROPN
asir-788	234	2	kot	kot	PROPN
asir-788	234	3	,	,	PUNCT
asir-788	234	4	m.	m.	NOUN
asir-788	234	5	(	(	PUNCT
asir-788	234	6	2001	2001	NUM
asir-788	234	7	)	)	PUNCT
asir-788	234	8	.	.	PUNCT
asir-788	235	1	elements	element	NOUN
asir-788	235	2	of	of	ADP
asir-788	235	3	mathematical	mathematical	ADJ
asir-788	235	4	ecology	ecology	NOUN
asir-788	235	5	.	.	PUNCT
asir-788	236	1	cambridge	cambridge	PROPN
asir-788	236	2	university	university	PROPN
asir-788	236	3	press	press	NOUN
asir-788	236	4	.	.	PUNCT
asir-788	237	1	https://doi.org/10.1017/cbo9780511608520	https://doi.org/10.1017/cbo9780511608520	PROPN
asir-788	237	2	lengeler	lengeler	PROPN
asir-788	237	3	,	,	PUNCT
asir-788	237	4	j.	j.	PROPN
asir-788	237	5	w.	w.	PROPN
asir-788	237	6	,	,	PUNCT
asir-788	237	7	drews	drews	PROPN
asir-788	237	8	,	,	PUNCT
asir-788	237	9	g.	g.	PROPN
asir-788	237	10	,	,	PUNCT
asir-788	237	11	&	&	CCONJ
asir-788	237	12	schlegel	schlegel	PROPN
asir-788	237	13	,	,	PUNCT
asir-788	237	14	h.	h.	PROPN
asir-788	237	15	g.	g.	PROPN
asir-788	237	16	(	(	PUNCT
asir-788	237	17	1999	1999	NUM
asir-788	237	18	)	)	PUNCT
asir-788	237	19	.	.	PUNCT
asir-788	238	1	biology	biology	NOUN
asir-788	238	2	of	of	ADP
asir-788	238	3	the	the	DET
asir-788	238	4	prokaryotes	prokaryote	NOUN
asir-788	238	5	.	.	PUNCT
asir-788	239	1	blackwel	blackwel	ADJ
asir-788	239	2	science	science	PROPN
asir-788	239	3	,	,	PUNCT
asir-788	239	4	stuttgart	stuttgart	PROPN
asir-788	239	5	.	.	PUNCT
asir-788	240	1	margulis	margulis	PROPN
asir-788	240	2	,	,	PUNCT
asir-788	240	3	l.	l.	PROPN
asir-788	240	4	(	(	PUNCT
asir-788	240	5	1970	1970	NUM
asir-788	240	6	)	)	PUNCT
asir-788	240	7	.	.	PUNCT
asir-788	241	1	origin	origin	NOUN
asir-788	241	2	of	of	ADP
asir-788	241	3	eukaryotic	eukaryotic	ADJ
asir-788	241	4	cells	cell	NOUN
asir-788	241	5	.	.	PUNCT
asir-788	242	1	yale	yale	PROPN
asir-788	242	2	university	university	PROPN
asir-788	242	3	press	press	NOUN
asir-788	242	4	,	,	PUNCT
asir-788	242	5	new	new	ADJ
asir-788	242	6	haven	haven	NOUN
asir-788	242	7	.	.	PUNCT
asir-788	243	1	margulis	margulis	PROPN
asir-788	243	2	,	,	PUNCT
asir-788	243	3	l.	l.	PROPN
asir-788	243	4	(	(	PUNCT
asir-788	243	5	1981	1981	NUM
asir-788	243	6	)	)	PUNCT
asir-788	243	7	.	.	PUNCT
asir-788	244	1	symbiosis	symbiosis	NOUN
asir-788	244	2	in	in	ADP
asir-788	244	3	cell	cell	NOUN
asir-788	244	4	evolution	evolution	NOUN
asir-788	244	5	.	.	PUNCT
asir-788	245	1	w.	w.	PROPN
asir-788	245	2	h.	h.	PROPN
asir-788	245	3	freeman	freeman	PROPN
asir-788	245	4	,	,	PUNCT
asir-788	245	5	san	san	PROPN
asir-788	245	6	francisco	francisco	PROPN
asir-788	245	7	.	.	PUNCT
asir-788	246	1	may	may	AUX
asir-788	246	2	,	,	PUNCT
asir-788	246	3	r.	r.	PROPN
asir-788	246	4	m.	m.	PROPN
asir-788	246	5	(	(	PUNCT
asir-788	246	6	1981	1981	NUM
asir-788	246	7	)	)	PUNCT
asir-788	246	8	.	.	PUNCT
asir-788	247	1	theoretical	theoretical	ADJ
asir-788	247	2	ecology	ecology	NOUN
asir-788	247	3	:	:	PUNCT
asir-788	247	4	principles	principle	NOUN
asir-788	247	5	and	and	CCONJ
asir-788	247	6	applications	application	NOUN
asir-788	247	7	.	.	PUNCT
asir-788	248	1	sinauer	sinauer	PROPN
asir-788	248	2	associates	associates	PROPN
asir-788	248	3	,	,	PUNCT
asir-788	248	4	sunderland	sunderland	PROPN
asir-788	248	5	,	,	PUNCT
asir-788	248	6	ma	ma	PROPN
asir-788	248	7	.	.	PROPN
asir-788	248	8	mesterton	mesterton	PROPN
asir-788	248	9	,	,	PUNCT
asir-788	248	10	g.	g.	PROPN
asir-788	248	11	m.	m.	PROPN
asir-788	248	12	(	(	PUNCT
asir-788	248	13	1988	1988	NUM
asir-788	248	14	)	)	PUNCT
asir-788	248	15	.	.	PUNCT
asir-788	249	1	on	on	ADP
asir-788	249	2	the	the	DET
asir-788	249	3	optimal	optimal	ADJ
asir-788	249	4	policy	policy	NOUN
asir-788	249	5	for	for	ADP
asir-788	249	6	combined	combined	ADJ
asir-788	249	7	harvesting	harvesting	NOUN
asir-788	249	8	of	of	ADP
asir-788	249	9	predator	predator	NOUN
asir-788	249	10	and	and	CCONJ
asir-788	249	11	prey	prey	NOUN
asir-788	249	12	.	.	PUNCT
asir-788	249	13	natural	natural	ADJ
asir-788	249	14	resources	resource	NOUN
asir-788	249	15	modelling	modelling	NOUN
asir-788	249	16	,	,	PUNCT
asir-788	249	17	3	3	NUM
asir-788	249	18	,	,	PUNCT
asir-788	249	19	63	63	NUM
asir-788	249	20	-	-	SYM
asir-788	249	21	90	90	NUM
asir-788	249	22	.	.	PUNCT
asir-788	250	1	strobele	strobele	PROPN
asir-788	250	2	,	,	PUNCT
asir-788	250	3	w.	w.	PROPN
asir-788	250	4	j.	j.	PROPN
asir-788	250	5	,	,	PUNCT
asir-788	250	6	&	&	CCONJ
asir-788	250	7	wacker	wacker	PROPN
asir-788	250	8	,	,	PUNCT
asir-788	250	9	h.	h.	PROPN
asir-788	250	10	(	(	PUNCT
asir-788	250	11	1995	1995	NUM
asir-788	250	12	)	)	PUNCT
asir-788	250	13	.	.	PUNCT
asir-788	251	1	the	the	DET
asir-788	251	2	economics	economic	NOUN
asir-788	251	3	of	of	ADP
asir-788	251	4	harvesting	harvest	VERB
asir-788	251	5	predator	predator	NOUN
asir-788	251	6	-	-	PUNCT
asir-788	251	7	prey	prey	NOUN
asir-788	251	8	system	system	NOUN
asir-788	251	9	.	.	PUNCT
asir-788	252	1	j.	j.	PROPN
asir-788	252	2	econ	econ	PROPN
asir-788	252	3	.	.	PROPN
asir-788	252	4	,	,	PUNCT
asir-788	252	5	61	61	NUM
asir-788	252	6	,	,	PUNCT
asir-788	252	7	65	65	NUM
asir-788	252	8	-	-	SYM
asir-788	252	9	81	81	NUM
asir-788	252	10	.	.	PUNCT
asir-788	253	1	https://doi.org/10.1007/bf01231484	https://doi.org/10.1007/bf01231484	VERB
asir-788	253	2	wallin	wallin	NOUN
asir-788	253	3	,	,	PUNCT
asir-788	253	4	i.	i.	PROPN
asir-788	253	5	e.	e.	PROPN
asir-788	253	6	(	(	PUNCT
asir-788	253	7	1923).the	1923).the	DET
asir-788	253	8	mitochondria	mitochondria	PROPN
asir-788	253	9	problem	problem	NOUN
asir-788	253	10	.	.	PUNCT
asir-788	254	1	american	american	PROPN
asir-788	254	2	naturalist	naturalist	PROPN
asir-788	254	3	,	,	PUNCT
asir-788	254	4	57	57	NUM
asir-788	254	5	,	,	PUNCT
asir-788	254	6	255	255	NUM
asir-788	254	7	-	-	SYM
asir-788	254	8	261	261	NUM
asir-788	254	9	.	.	PUNCT
asir-788	254	10	https://doi.org/10.1086/279919	https://doi.org/10.1086/279919	PROPN
asir-788	254	11	wallin	wallin	PROPN
asir-788	254	12	,	,	PUNCT
asir-788	254	13	i.	i.	PROPN
asir-788	254	14	e.	e.	PROPN
asir-788	254	15	(	(	PUNCT
asir-788	254	16	1927	1927	NUM
asir-788	254	17	)	)	PUNCT
asir-788	254	18	.	.	PUNCT
asir-788	255	1	symbionticism	symbionticism	NOUN
asir-788	255	2	and	and	CCONJ
asir-788	255	3	the	the	DET
asir-788	255	4	origin	origin	NOUN
asir-788	255	5	of	of	ADP
asir-788	255	6	species	specie	NOUN
asir-788	255	7	.	.	PUNCT
asir-788	256	1	williams	williams	PROPN
asir-788	256	2	&	&	CCONJ
asir-788	256	3	wilkins	wilkins	PROPN
asir-788	256	4	,	,	PUNCT
asir-788	256	5	baltimore	baltimore	PROPN
asir-788	256	6	,	,	PUNCT
asir-788	256	7	md	md	PROPN
asir-788	256	8	.	.	PUNCT
asir-788	256	9	https://doi.org/10.5962/bhl.title.11429	https://doi.org/10.5962/bhl.title.11429	PROPN