id	sid	tid	token	lemma	pos
ejde-32	1	1	electronic	electronic	ADJ
ejde-32	1	2	journal	journal	NOUN
ejde-32	1	3	of	of	ADP
ejde-32	1	4	differential	differential	ADJ
ejde-32	1	5	equations	equation	NOUN
ejde-32	1	6	,	,	PUNCT
ejde-32	1	7	vol	vol	NOUN
ejde-32	1	8	.	.	PUNCT
ejde-32	1	9	2023	2023	NUM
ejde-32	1	10	(	(	PUNCT
ejde-32	1	11	2023	2023	NUM
ejde-32	1	12	)	)	PUNCT
ejde-32	1	13	,	,	PUNCT
ejde-32	1	14	no	no	INTJ
ejde-32	1	15	.	.	NOUN
ejde-32	1	16	17	17	NUM
ejde-32	1	17	,	,	PUNCT
ejde-32	1	18	pp	pp	PROPN
ejde-32	1	19	.	.	PUNCT
ejde-32	2	1	1–10	1–10	PROPN
ejde-32	2	2	.	.	PUNCT
ejde-32	3	1	issn	issn	PROPN
ejde-32	3	2	:	:	PUNCT
ejde-32	3	3	1072	1072	NUM
ejde-32	3	4	-	-	SYM
ejde-32	3	5	6691	6691	NUM
ejde-32	3	6	.	.	PUNCT
ejde-32	4	1	url	url	PROPN
ejde-32	4	2	:	:	PUNCT
ejde-32	4	3	https://ejde.math.txstate.edu	https://ejde.math.txstate.edu	PROPN
ejde-32	4	4	or	or	CCONJ
ejde-32	4	5	https://ejde.math.unt.edu	https://ejde.math.unt.edu	PROPN
ejde-32	4	6	enrichment	enrichment	NOUN
ejde-32	4	7	paradox	paradox	NOUN
ejde-32	4	8	and	and	CCONJ
ejde-32	4	9	applications	application	NOUN
ejde-32	4	10	zaichun	zaichun	PROPN
ejde-32	4	11	feng	feng	X
ejde-32	4	12	,	,	PUNCT
ejde-32	4	13	y.	y.	PROPN
ejde-32	4	14	charles	charles	PROPN
ejde-32	4	15	li	li	PROPN
ejde-32	4	16	abstract	abstract	PROPN
ejde-32	4	17	.	.	PUNCT
ejde-32	5	1	we	we	PRON
ejde-32	5	2	introduce	introduce	VERB
ejde-32	5	3	a	a	DET
ejde-32	5	4	general	general	ADJ
ejde-32	5	5	predator	predator	NOUN
ejde-32	5	6	-	-	PUNCT
ejde-32	5	7	prey	prey	NOUN
ejde-32	5	8	model	model	NOUN
ejde-32	5	9	for	for	ADP
ejde-32	5	10	analyzing	analyze	VERB
ejde-32	5	11	the	the	DET
ejde-32	5	12	paradox	paradox	NOUN
ejde-32	5	13	of	of	ADP
ejde-32	5	14	enrichment	enrichment	NOUN
ejde-32	5	15	.	.	PUNCT
ejde-32	6	1	we	we	PRON
ejde-32	6	2	hope	hope	VERB
ejde-32	6	3	the	the	DET
ejde-32	6	4	results	result	NOUN
ejde-32	6	5	obtained	obtain	VERB
ejde-32	6	6	guide	guide	VERB
ejde-32	6	7	us	we	PRON
ejde-32	6	8	on	on	ADP
ejde-32	6	9	identifying	identify	VERB
ejde-32	6	10	a	a	DET
ejde-32	6	11	real	real	ADJ
ejde-32	6	12	field	field	NOUN
ejde-32	6	13	paradox	paradox	NOUN
ejde-32	6	14	of	of	ADP
ejde-32	6	15	enrichment	enrichment	NOUN
ejde-32	6	16	.	.	PUNCT
ejde-32	7	1	1	1	X
ejde-32	7	2	.	.	X
ejde-32	7	3	introduction	introduction	NOUN
ejde-32	7	4	human	human	ADJ
ejde-32	7	5	population	population	NOUN
ejde-32	7	6	(	(	PUNCT
ejde-32	7	7	especially	especially	ADV
ejde-32	7	8	in	in	ADP
ejde-32	7	9	the	the	DET
ejde-32	7	10	third	third	ADJ
ejde-32	7	11	world	world	NOUN
ejde-32	7	12	countries	country	NOUN
ejde-32	7	13	)	)	PUNCT
ejde-32	7	14	has	have	AUX
ejde-32	7	15	dramatically	dramatically	ADV
ejde-32	7	16	increased	increase	VERB
ejde-32	7	17	because	because	SCONJ
ejde-32	7	18	enrichment	enrichment	NOUN
ejde-32	7	19	of	of	ADP
ejde-32	7	20	food	food	NOUN
ejde-32	7	21	resource	resource	NOUN
ejde-32	7	22	such	such	ADJ
ejde-32	7	23	as	as	ADP
ejde-32	7	24	high	high	ADJ
ejde-32	7	25	yield	yield	NOUN
ejde-32	7	26	grains	grain	NOUN
ejde-32	7	27	and	and	CCONJ
ejde-32	7	28	gmos	gmos	PROPN
ejde-32	7	29	.	.	PUNCT
ejde-32	8	1	the	the	DET
ejde-32	8	2	crucial	crucial	ADJ
ejde-32	8	3	question	question	NOUN
ejde-32	8	4	is	be	AUX
ejde-32	8	5	whether	whether	SCONJ
ejde-32	8	6	or	or	CCONJ
ejde-32	8	7	not	not	PART
ejde-32	8	8	such	such	DET
ejde-32	8	9	a	a	DET
ejde-32	8	10	huge	huge	ADJ
ejde-32	8	11	human	human	ADJ
ejde-32	8	12	population	population	NOUN
ejde-32	8	13	is	be	AUX
ejde-32	8	14	sustainable	sustainable	ADJ
ejde-32	8	15	.	.	PUNCT
ejde-32	9	1	what	what	PRON
ejde-32	9	2	will	will	AUX
ejde-32	9	3	happen	happen	VERB
ejde-32	9	4	if	if	SCONJ
ejde-32	9	5	a	a	DET
ejde-32	9	6	worldwide	worldwide	ADJ
ejde-32	9	7	famine	famine	NOUN
ejde-32	9	8	takes	take	VERB
ejde-32	9	9	place	place	NOUN
ejde-32	9	10	?	?	PUNCT
ejde-32	10	1	will	will	AUX
ejde-32	10	2	the	the	DET
ejde-32	10	3	human	human	ADJ
ejde-32	10	4	population	population	NOUN
ejde-32	10	5	go	go	VERB
ejde-32	10	6	extinct	extinct	ADJ
ejde-32	10	7	or	or	CCONJ
ejde-32	10	8	suffer	suffer	VERB
ejde-32	10	9	regional	regional	ADJ
ejde-32	10	10	eradication	eradication	NOUN
ejde-32	10	11	?	?	PUNCT
ejde-32	11	1	one	one	PRON
ejde-32	11	2	can	can	AUX
ejde-32	11	3	view	view	VERB
ejde-32	11	4	the	the	DET
ejde-32	11	5	human	human	ADJ
ejde-32	11	6	-	-	PUNCT
ejde-32	11	7	food	food	NOUN
ejde-32	11	8	system	system	NOUN
ejde-32	11	9	as	as	ADP
ejde-32	11	10	a	a	DET
ejde-32	11	11	predator	predator	NOUN
ejde-32	11	12	-	-	PUNCT
ejde-32	11	13	prey	prey	NOUN
ejde-32	11	14	system	system	NOUN
ejde-32	11	15	.	.	PUNCT
ejde-32	12	1	the	the	DET
ejde-32	12	2	predator	predator	NOUN
ejde-32	12	3	-	-	PUNCT
ejde-32	12	4	prey	prey	NOUN
ejde-32	12	5	dynamics	dynamic	NOUN
ejde-32	12	6	is	be	AUX
ejde-32	12	7	everywhere	everywhere	ADV
ejde-32	12	8	in	in	ADP
ejde-32	12	9	ecological	ecological	ADJ
ejde-32	12	10	systems	system	NOUN
ejde-32	12	11	.	.	PUNCT
ejde-32	13	1	intuitively	intuitively	ADV
ejde-32	13	2	speaking	speak	VERB
ejde-32	13	3	,	,	PUNCT
ejde-32	13	4	when	when	SCONJ
ejde-32	13	5	the	the	DET
ejde-32	13	6	food	food	NOUN
ejde-32	13	7	supply	supply	NOUN
ejde-32	13	8	of	of	ADP
ejde-32	13	9	the	the	DET
ejde-32	13	10	prey	prey	NOUN
ejde-32	13	11	is	be	AUX
ejde-32	13	12	enriched	enrich	VERB
ejde-32	13	13	,	,	PUNCT
ejde-32	13	14	both	both	CCONJ
ejde-32	13	15	the	the	DET
ejde-32	13	16	prey	prey	NOUN
ejde-32	13	17	and	and	CCONJ
ejde-32	13	18	the	the	DET
ejde-32	13	19	predator	predator	NOUN
ejde-32	13	20	populations	population	NOUN
ejde-32	13	21	should	should	AUX
ejde-32	13	22	rise	rise	VERB
ejde-32	13	23	.	.	PUNCT
ejde-32	14	1	on	on	ADP
ejde-32	14	2	the	the	DET
ejde-32	14	3	other	other	ADJ
ejde-32	14	4	hand	hand	NOUN
ejde-32	14	5	,	,	PUNCT
ejde-32	14	6	is	be	AUX
ejde-32	14	7	it	it	PRON
ejde-32	14	8	possible	possible	ADJ
ejde-32	14	9	that	that	SCONJ
ejde-32	14	10	enrichment	enrichment	NOUN
ejde-32	14	11	can	can	AUX
ejde-32	14	12	lead	lead	VERB
ejde-32	14	13	to	to	ADP
ejde-32	14	14	extinction	extinction	NOUN
ejde-32	14	15	of	of	ADP
ejde-32	14	16	both	both	PRON
ejde-32	14	17	or	or	CCONJ
ejde-32	14	18	one	one	NUM
ejde-32	14	19	of	of	ADP
ejde-32	14	20	predator	predator	NOUN
ejde-32	14	21	and	and	CCONJ
ejde-32	14	22	prey	prey	VERB
ejde-32	14	23	?	?	PUNCT
ejde-32	15	1	if	if	SCONJ
ejde-32	15	2	this	this	PRON
ejde-32	15	3	happens	happen	VERB
ejde-32	15	4	,	,	PUNCT
ejde-32	15	5	we	we	PRON
ejde-32	15	6	have	have	VERB
ejde-32	15	7	a	a	DET
ejde-32	15	8	paradox	paradox	NOUN
ejde-32	15	9	of	of	ADP
ejde-32	15	10	enrichment	enrichment	NOUN
ejde-32	15	11	.	.	PUNCT
ejde-32	16	1	since	since	SCONJ
ejde-32	16	2	there	there	PRON
ejde-32	16	3	is	be	VERB
ejde-32	16	4	a	a	DET
ejde-32	16	5	variety	variety	NOUN
ejde-32	16	6	of	of	ADP
ejde-32	16	7	dynamics	dynamic	NOUN
ejde-32	16	8	among	among	ADP
ejde-32	16	9	different	different	ADJ
ejde-32	16	10	predator	predator	NOUN
ejde-32	16	11	-	-	PUNCT
ejde-32	16	12	prey	prey	NOUN
ejde-32	16	13	systems	system	NOUN
ejde-32	16	14	,	,	PUNCT
ejde-32	16	15	some	some	DET
ejde-32	16	16	predator	predator	NOUN
ejde-32	16	17	-	-	PUNCT
ejde-32	16	18	prey	prey	NOUN
ejde-32	16	19	systems	system	NOUN
ejde-32	16	20	may	may	AUX
ejde-32	16	21	have	have	VERB
ejde-32	16	22	the	the	DET
ejde-32	16	23	paradox	paradox	NOUN
ejde-32	16	24	of	of	ADP
ejde-32	16	25	enrichment	enrichment	NOUN
ejde-32	16	26	.	.	PUNCT
ejde-32	17	1	for	for	ADP
ejde-32	17	2	instances	instance	NOUN
ejde-32	17	3	,	,	PUNCT
ejde-32	17	4	if	if	SCONJ
ejde-32	17	5	an	an	DET
ejde-32	17	6	enrichment	enrichment	NOUN
ejde-32	17	7	changes	change	VERB
ejde-32	17	8	the	the	DET
ejde-32	17	9	intensity	intensity	NOUN
ejde-32	17	10	of	of	ADP
ejde-32	17	11	predation	predation	NOUN
ejde-32	17	12	,	,	PUNCT
ejde-32	17	13	then	then	ADV
ejde-32	17	14	extinction	extinction	NOUN
ejde-32	17	15	of	of	ADP
ejde-32	17	16	both	both	PRON
ejde-32	17	17	or	or	CCONJ
ejde-32	17	18	one	one	NUM
ejde-32	17	19	of	of	ADP
ejde-32	17	20	predator	predator	NOUN
ejde-32	17	21	and	and	CCONJ
ejde-32	17	22	prey	prey	NOUN
ejde-32	17	23	may	may	AUX
ejde-32	17	24	be	be	AUX
ejde-32	17	25	possible	possible	ADJ
ejde-32	17	26	.	.	PUNCT
ejde-32	18	1	if	if	SCONJ
ejde-32	18	2	an	an	DET
ejde-32	18	3	enrichment	enrichment	NOUN
ejde-32	18	4	increases	increase	VERB
ejde-32	18	5	the	the	DET
ejde-32	18	6	intensity	intensity	NOUN
ejde-32	18	7	of	of	ADP
ejde-32	18	8	predation	predation	NOUN
ejde-32	18	9	,	,	PUNCT
ejde-32	18	10	then	then	ADV
ejde-32	18	11	the	the	DET
ejde-32	18	12	prey	prey	NOUN
ejde-32	18	13	together	together	ADV
ejde-32	18	14	with	with	ADP
ejde-32	18	15	the	the	DET
ejde-32	18	16	predator	predator	NOUN
ejde-32	18	17	may	may	AUX
ejde-32	18	18	be	be	AUX
ejde-32	18	19	extinct	extinct	ADJ
ejde-32	18	20	.	.	PUNCT
ejde-32	19	1	if	if	SCONJ
ejde-32	19	2	an	an	DET
ejde-32	19	3	enrichment	enrichment	NOUN
ejde-32	19	4	decreases	decrease	VERB
ejde-32	19	5	the	the	DET
ejde-32	19	6	intensity	intensity	NOUN
ejde-32	19	7	of	of	ADP
ejde-32	19	8	predation	predation	NOUN
ejde-32	19	9	,	,	PUNCT
ejde-32	19	10	then	then	ADV
ejde-32	19	11	the	the	DET
ejde-32	19	12	predator	predator	NOUN
ejde-32	19	13	may	may	AUX
ejde-32	19	14	be	be	AUX
ejde-32	19	15	extinct	extinct	ADJ
ejde-32	19	16	.	.	PUNCT
ejde-32	20	1	nevertheless	nevertheless	ADV
ejde-32	20	2	,	,	PUNCT
ejde-32	20	3	so	so	ADV
ejde-32	20	4	far	far	ADV
ejde-32	20	5	a	a	DET
ejde-32	20	6	real	real	ADJ
ejde-32	20	7	field	field	NOUN
ejde-32	20	8	example	example	NOUN
ejde-32	20	9	of	of	ADP
ejde-32	20	10	the	the	DET
ejde-32	20	11	paradox	paradox	NOUN
ejde-32	20	12	of	of	ADP
ejde-32	20	13	enrichment	enrichment	NOUN
ejde-32	20	14	is	be	AUX
ejde-32	20	15	still	still	ADV
ejde-32	20	16	elusive	elusive	ADJ
ejde-32	20	17	.	.	PUNCT
ejde-32	21	1	mathematical	mathematical	ADJ
ejde-32	21	2	models	model	NOUN
ejde-32	21	3	on	on	ADP
ejde-32	21	4	the	the	DET
ejde-32	21	5	predator	predator	NOUN
ejde-32	21	6	-	-	PUNCT
ejde-32	21	7	prey	prey	NOUN
ejde-32	21	8	dynamics	dynamic	NOUN
ejde-32	21	9	indeed	indeed	ADV
ejde-32	21	10	often	often	ADV
ejde-32	21	11	predict	predict	VERB
ejde-32	21	12	the	the	DET
ejde-32	21	13	existence	existence	NOUN
ejde-32	21	14	of	of	ADP
ejde-32	21	15	the	the	DET
ejde-32	21	16	paradox	paradox	NOUN
ejde-32	21	17	of	of	ADP
ejde-32	21	18	enrichment	enrichment	NOUN
ejde-32	21	19	.	.	PUNCT
ejde-32	22	1	mathematical	mathematical	ADJ
ejde-32	22	2	models	model	NOUN
ejde-32	22	3	can	can	AUX
ejde-32	22	4	provide	provide	VERB
ejde-32	22	5	guidance	guidance	NOUN
ejde-32	22	6	for	for	ADP
ejde-32	22	7	identifying	identify	VERB
ejde-32	22	8	predator	predator	NOUN
ejde-32	22	9	-	-	PUNCT
ejde-32	22	10	prey	prey	NOUN
ejde-32	22	11	systems	system	NOUN
ejde-32	22	12	that	that	PRON
ejde-32	22	13	have	have	VERB
ejde-32	22	14	the	the	DET
ejde-32	22	15	paradox	paradox	NOUN
ejde-32	22	16	of	of	ADP
ejde-32	22	17	enrichment	enrichment	NOUN
ejde-32	22	18	.	.	PUNCT
ejde-32	23	1	a	a	DET
ejde-32	23	2	general	general	ADJ
ejde-32	23	3	predator	predator	NOUN
ejde-32	23	4	-	-	PUNCT
ejde-32	23	5	prey	prey	NOUN
ejde-32	23	6	model	model	NOUN
ejde-32	23	7	is	be	AUX
ejde-32	23	8	the	the	DET
ejde-32	23	9	kolmogorov	kolmogorov	PROPN
ejde-32	23	10	model	model	NOUN
ejde-32	23	11	du	du	PROPN
ejde-32	23	12	dt	dt	PROPN
ejde-32	23	13	=	=	SYM
ejde-32	23	14	uf(u	uf(u	PROPN
ejde-32	23	15	,	,	PUNCT
ejde-32	23	16	v	v	NOUN
ejde-32	23	17	)	)	PUNCT
ejde-32	23	18	,	,	PUNCT
ejde-32	23	19	dv	dv	PROPN
ejde-32	23	20	dt	dt	X
ejde-32	23	21	=	=	PROPN
ejde-32	23	22	v	v	ADP
ejde-32	23	23	g(u	g(u	PROPN
ejde-32	23	24	,	,	PUNCT
ejde-32	23	25	v	v	NOUN
ejde-32	23	26	)	)	PUNCT
ejde-32	23	27	,	,	PUNCT
ejde-32	23	28	where	where	SCONJ
ejde-32	23	29	u	u	NOUN
ejde-32	23	30	is	be	AUX
ejde-32	23	31	the	the	DET
ejde-32	23	32	population	population	NOUN
ejde-32	23	33	of	of	ADP
ejde-32	23	34	prey	prey	PROPN
ejde-32	23	35	,	,	PUNCT
ejde-32	23	36	v	v	NOUN
ejde-32	23	37	is	be	AUX
ejde-32	23	38	the	the	DET
ejde-32	23	39	population	population	NOUN
ejde-32	23	40	of	of	ADP
ejde-32	23	41	predator	predator	NOUN
ejde-32	23	42	,	,	PUNCT
ejde-32	23	43	and	and	CCONJ
ejde-32	23	44	∂f	∂f	PROPN
ejde-32	23	45	∂v	∂v	PROPN
ejde-32	23	46	<	<	X
ejde-32	23	47	0	0	PROPN
ejde-32	23	48	,	,	PUNCT
ejde-32	23	49	∂g	∂g	PROPN
ejde-32	23	50	∂u	∂u	PROPN
ejde-32	23	51	>	>	PUNCT
ejde-32	23	52	0	0	X
ejde-32	23	53	.	.	PUNCT
ejde-32	24	1	by	by	ADP
ejde-32	24	2	choosing	choose	VERB
ejde-32	24	3	f(u	f(u	PROPN
ejde-32	24	4	,	,	PUNCT
ejde-32	24	5	v	v	NOUN
ejde-32	24	6	)	)	PUNCT
ejde-32	24	7	=	=	PUNCT
ejde-32	24	8	α−	α−	ADP
ejde-32	24	9	γv	γv	NOUN
ejde-32	24	10	,	,	PUNCT
ejde-32	24	11	g(u	g(u	PROPN
ejde-32	24	12	,	,	PUNCT
ejde-32	24	13	v	v	NOUN
ejde-32	24	14	)	)	PUNCT
ejde-32	24	15	=	=	PUNCT
ejde-32	24	16	κu	κu	ADP
ejde-32	24	17	−	−	PROPN
ejde-32	24	18	µ	µ	NUM
ejde-32	24	19	,	,	PUNCT
ejde-32	24	20	2020	2020	NUM
ejde-32	24	21	mathematics	mathematic	NOUN
ejde-32	24	22	subject	subject	ADJ
ejde-32	24	23	classification	classification	NOUN
ejde-32	24	24	.	.	PUNCT
ejde-32	24	25	92d25	92d25	NUM
ejde-32	24	26	,	,	PUNCT
ejde-32	24	27	37n25	37n25	NUM
ejde-32	24	28	.	.	PUNCT
ejde-32	24	29	key	key	ADJ
ejde-32	24	30	words	word	NOUN
ejde-32	24	31	and	and	CCONJ
ejde-32	24	32	phrases	phrase	NOUN
ejde-32	24	33	.	.	PUNCT
ejde-32	25	1	paradox	paradox	NOUN
ejde-32	25	2	of	of	ADP
ejde-32	25	3	enrichment	enrichment	NOUN
ejde-32	25	4	;	;	PUNCT
ejde-32	25	5	predator	predator	NOUN
ejde-32	25	6	-	-	PUNCT
ejde-32	25	7	prey	prey	NOUN
ejde-32	25	8	model	model	NOUN
ejde-32	25	9	;	;	PUNCT
ejde-32	25	10	kolmogorov	kolmogorov	PROPN
ejde-32	25	11	model	model	NOUN
ejde-32	25	12	;	;	PUNCT
ejde-32	25	13	holling	holle	VERB
ejde-32	25	14	model	model	NOUN
ejde-32	25	15	.	.	PUNCT
ejde-32	26	1	©	©	ADP
ejde-32	26	2	2023	2023	NUM
ejde-32	26	3	.	.	PUNCT
ejde-32	27	1	this	this	DET
ejde-32	27	2	work	work	NOUN
ejde-32	27	3	is	be	AUX
ejde-32	27	4	licensed	license	VERB
ejde-32	27	5	under	under	ADP
ejde-32	27	6	a	a	DET
ejde-32	27	7	cc	cc	NOUN
ejde-32	27	8	by	by	ADP
ejde-32	27	9	4.0	4.0	NUM
ejde-32	27	10	license	license	NOUN
ejde-32	27	11	.	.	PUNCT
ejde-32	28	1	submitted	submit	VERB
ejde-32	28	2	april	april	PROPN
ejde-32	28	3	1	1	NUM
ejde-32	28	4	,	,	PUNCT
ejde-32	28	5	2022	2022	NUM
ejde-32	28	6	.	.	PUNCT
ejde-32	29	1	published	publish	VERB
ejde-32	29	2	february	february	PROPN
ejde-32	29	3	20	20	NUM
ejde-32	29	4	,	,	PUNCT
ejde-32	29	5	2023	2023	NUM
ejde-32	29	6	.	.	PUNCT
ejde-32	30	1	1	1	NUM
ejde-32	30	2	2	2	NUM
ejde-32	30	3	z.	z.	PROPN
ejde-32	30	4	c.	c.	PROPN
ejde-32	30	5	feng	feng	PROPN
ejde-32	30	6	,	,	PUNCT
ejde-32	30	7	y.	y.	PROPN
ejde-32	30	8	charles	charles	PROPN
ejde-32	30	9	li	li	PROPN
ejde-32	30	10	ejde-2023/17	ejde-2023/17	PROPN
ejde-32	30	11	one	one	NUM
ejde-32	30	12	gets	get	VERB
ejde-32	30	13	the	the	DET
ejde-32	30	14	simple	simple	ADJ
ejde-32	30	15	lotka	lotka	PROPN
ejde-32	30	16	-	-	PUNCT
ejde-32	30	17	volterra	volterra	PROPN
ejde-32	30	18	model	model	NOUN
ejde-32	30	19	du	du	PROPN
ejde-32	30	20	dt	dt	PROPN
ejde-32	30	21	=	=	SYM
ejde-32	30	22	αu	αu	PROPN
ejde-32	30	23	−	−	PROPN
ejde-32	30	24	γuv	γuv	PROPN
ejde-32	30	25	,	,	PUNCT
ejde-32	30	26	dv	dv	PROPN
ejde-32	30	27	dt	dt	X
ejde-32	30	28	=	=	PUNCT
ejde-32	30	29	κuv	κuv	PROPN
ejde-32	30	30	−	−	PROPN
ejde-32	30	31	µv	µv	NOUN
ejde-32	30	32	,	,	PUNCT
ejde-32	30	33	where	where	SCONJ
ejde-32	30	34	α	α	NOUN
ejde-32	30	35	is	be	AUX
ejde-32	30	36	the	the	DET
ejde-32	30	37	birth	birth	NOUN
ejde-32	30	38	rate	rate	NOUN
ejde-32	30	39	of	of	ADP
ejde-32	30	40	the	the	DET
ejde-32	30	41	prey	prey	NOUN
ejde-32	30	42	,	,	PUNCT
ejde-32	30	43	γ	γ	PROPN
ejde-32	30	44	is	be	AUX
ejde-32	30	45	the	the	DET
ejde-32	30	46	coefficient	coefficient	NOUN
ejde-32	30	47	of	of	ADP
ejde-32	30	48	predation	predation	NOUN
ejde-32	30	49	,	,	PUNCT
ejde-32	30	50	κ	κ	PROPN
ejde-32	30	51	is	be	AUX
ejde-32	30	52	the	the	DET
ejde-32	30	53	coefficient	coefficient	NOUN
ejde-32	30	54	of	of	ADP
ejde-32	30	55	food	food	NOUN
ejde-32	30	56	utilization	utilization	NOUN
ejde-32	30	57	of	of	ADP
ejde-32	30	58	the	the	DET
ejde-32	30	59	predator	predator	NOUN
ejde-32	30	60	,	,	PUNCT
ejde-32	30	61	and	and	CCONJ
ejde-32	30	62	µ	µ	NOUN
ejde-32	30	63	is	be	AUX
ejde-32	30	64	the	the	DET
ejde-32	30	65	mortality	mortality	NOUN
ejde-32	30	66	rate	rate	NOUN
ejde-32	30	67	of	of	ADP
ejde-32	30	68	the	the	DET
ejde-32	30	69	predator	predator	NOUN
ejde-32	30	70	.	.	PUNCT
ejde-32	31	1	the	the	DET
ejde-32	31	2	lotka	lotka	PROPN
ejde-32	31	3	-	-	PUNCT
ejde-32	31	4	volterra	volterra	PROPN
ejde-32	31	5	model	model	NOUN
ejde-32	31	6	does	do	AUX
ejde-32	31	7	not	not	PART
ejde-32	31	8	take	take	VERB
ejde-32	31	9	into	into	ADP
ejde-32	31	10	account	account	NOUN
ejde-32	31	11	the	the	DET
ejde-32	31	12	effect	effect	NOUN
ejde-32	31	13	of	of	ADP
ejde-32	31	14	carrying	carry	VERB
ejde-32	31	15	capacity	capacity	NOUN
ejde-32	31	16	of	of	ADP
ejde-32	31	17	the	the	DET
ejde-32	31	18	prey	prey	NOUN
ejde-32	31	19	,	,	PUNCT
ejde-32	31	20	which	which	PRON
ejde-32	31	21	is	be	AUX
ejde-32	31	22	the	the	DET
ejde-32	31	23	upper	upper	ADJ
ejde-32	31	24	limit	limit	NOUN
ejde-32	31	25	of	of	ADP
ejde-32	31	26	the	the	DET
ejde-32	31	27	prey	prey	NOUN
ejde-32	31	28	population	population	NOUN
ejde-32	31	29	that	that	SCONJ
ejde-32	31	30	the	the	DET
ejde-32	31	31	food	food	NOUN
ejde-32	31	32	supply	supply	NOUN
ejde-32	31	33	can	can	AUX
ejde-32	31	34	support	support	VERB
ejde-32	31	35	.	.	PUNCT
ejde-32	32	1	the	the	DET
ejde-32	32	2	holling	holle	VERB
ejde-32	32	3	model	model	NOUN
ejde-32	32	4	incorporated	incorporate	VERB
ejde-32	32	5	the	the	DET
ejde-32	32	6	effect	effect	NOUN
ejde-32	32	7	of	of	ADP
ejde-32	32	8	carrying	carry	VERB
ejde-32	32	9	capacity	capacity	NOUN
ejde-32	32	10	,	,	PUNCT
ejde-32	32	11	du	du	PROPN
ejde-32	32	12	dt	dt	NOUN
ejde-32	32	13	=	=	SYM
ejde-32	32	14	αu	αu	PROPN
ejde-32	32	15	(	(	PUNCT
ejde-32	32	16	1−	1−	NUM
ejde-32	32	17	u	u	PROPN
ejde-32	32	18	b	b	PROPN
ejde-32	32	19	)	)	PUNCT
ejde-32	32	20	−	−	PROPN
ejde-32	32	21	v	v	ADP
ejde-32	32	22	f(u	f(u	PROPN
ejde-32	32	23	)	)	PUNCT
ejde-32	32	24	,	,	PUNCT
ejde-32	32	25	dv	dv	PROPN
ejde-32	32	26	dt	dt	PROPN
ejde-32	32	27	=	=	SYM
ejde-32	32	28	κv	κv	PROPN
ejde-32	32	29	f(u)−	f(u)−	PROPN
ejde-32	32	30	µv	µv	PROPN
ejde-32	32	31	,	,	PUNCT
ejde-32	32	32	where	where	SCONJ
ejde-32	32	33	b	b	NOUN
ejde-32	32	34	is	be	AUX
ejde-32	32	35	the	the	DET
ejde-32	32	36	carrying	carrying	NOUN
ejde-32	32	37	capacity	capacity	NOUN
ejde-32	32	38	of	of	ADP
ejde-32	32	39	the	the	DET
ejde-32	32	40	prey	prey	NOUN
ejde-32	32	41	,	,	PUNCT
ejde-32	32	42	and	and	CCONJ
ejde-32	32	43	f(u	f(u	PROPN
ejde-32	32	44	)	)	PUNCT
ejde-32	32	45	is	be	AUX
ejde-32	32	46	the	the	DET
ejde-32	32	47	functional	functional	ADJ
ejde-32	32	48	response	response	NOUN
ejde-32	32	49	of	of	ADP
ejde-32	32	50	holling	holling	NOUN
ejde-32	32	51	’s	’s	PART
ejde-32	32	52	type	type	NOUN
ejde-32	32	53	i	i	PROPN
ejde-32	32	54	,	,	PUNCT
ejde-32	32	55	ii	ii	PROPN
ejde-32	32	56	and	and	CCONJ
ejde-32	32	57	iii	iii	PROPN
ejde-32	32	58	.	.	PUNCT
ejde-32	33	1	a	a	DET
ejde-32	33	2	type	type	NOUN
ejde-32	33	3	i	i	PRON
ejde-32	33	4	functional	functional	ADJ
ejde-32	33	5	response	response	NOUN
ejde-32	33	6	is	be	AUX
ejde-32	33	7	used	use	VERB
ejde-32	33	8	in	in	ADP
ejde-32	33	9	the	the	DET
ejde-32	33	10	lotkavolterra	lotkavolterra	ADJ
ejde-32	33	11	model	model	NOUN
ejde-32	33	12	.	.	PUNCT
ejde-32	34	1	a	a	DET
ejde-32	34	2	type	type	NOUN
ejde-32	34	3	ii	ii	NOUN
ejde-32	34	4	functional	functional	ADJ
ejde-32	34	5	response	response	NOUN
ejde-32	34	6	is	be	AUX
ejde-32	34	7	used	use	VERB
ejde-32	34	8	in	in	ADP
ejde-32	34	9	the	the	DET
ejde-32	34	10	rosenzweig	rosenzweig	NOUN
ejde-32	34	11	-	-	PUNCT
ejde-32	34	12	macarthur	macarthur	PROPN
ejde-32	34	13	model	model	NOUN
ejde-32	34	14	,	,	PUNCT
ejde-32	35	1	du	du	PROPN
ejde-32	35	2	dt	dt	NOUN
ejde-32	35	3	=	=	SYM
ejde-32	35	4	αu	αu	PROPN
ejde-32	35	5	(	(	PUNCT
ejde-32	35	6	1−	1−	NUM
ejde-32	35	7	u	u	PROPN
ejde-32	35	8	b	b	PROPN
ejde-32	35	9	)	)	PUNCT
ejde-32	35	10	−	−	PROPN
ejde-32	35	11	γ	γ	X
ejde-32	35	12	u	u	NOUN
ejde-32	35	13	u	u	NOUN
ejde-32	35	14	+	+	NOUN
ejde-32	35	15	h	h	NOUN
ejde-32	35	16	v	v	NOUN
ejde-32	35	17	,	,	PUNCT
ejde-32	35	18	dv	dv	PROPN
ejde-32	35	19	dt	dt	NOUN
ejde-32	36	1	=	=	PUNCT
ejde-32	36	2	κγ	κγ	PROPN
ejde-32	36	3	u	u	NOUN
ejde-32	36	4	u	u	NOUN
ejde-32	36	5	+	+	NOUN
ejde-32	36	6	h	h	NOUN
ejde-32	36	7	v	v	NOUN
ejde-32	36	8	−	−	PROPN
ejde-32	36	9	µv	µv	NOUN
ejde-32	36	10	,	,	PUNCT
ejde-32	36	11	where	where	SCONJ
ejde-32	36	12	α	α	NOUN
ejde-32	36	13	is	be	AUX
ejde-32	36	14	the	the	DET
ejde-32	36	15	birth	birth	NOUN
ejde-32	36	16	rate	rate	NOUN
ejde-32	36	17	of	of	ADP
ejde-32	36	18	the	the	DET
ejde-32	36	19	prey	prey	NOUN
ejde-32	36	20	,	,	PUNCT
ejde-32	36	21	b	b	PROPN
ejde-32	36	22	is	be	AUX
ejde-32	36	23	the	the	DET
ejde-32	36	24	carrying	carrying	NOUN
ejde-32	36	25	capacity	capacity	NOUN
ejde-32	36	26	of	of	ADP
ejde-32	36	27	the	the	DET
ejde-32	36	28	prey	prey	NOUN
ejde-32	36	29	,	,	PUNCT
ejde-32	36	30	h	h	PROPN
ejde-32	36	31	is	be	AUX
ejde-32	36	32	the	the	DET
ejde-32	36	33	half	half	ADJ
ejde-32	36	34	-	-	PUNCT
ejde-32	36	35	predation	predation	NOUN
ejde-32	36	36	parameter	parameter	NOUN
ejde-32	36	37	,	,	PUNCT
ejde-32	36	38	γ	γ	PROPN
ejde-32	36	39	is	be	AUX
ejde-32	36	40	the	the	DET
ejde-32	36	41	coefficient	coefficient	NOUN
ejde-32	36	42	of	of	ADP
ejde-32	36	43	predation	predation	NOUN
ejde-32	36	44	,	,	PUNCT
ejde-32	36	45	κ	κ	PROPN
ejde-32	36	46	is	be	AUX
ejde-32	36	47	the	the	DET
ejde-32	36	48	coefficient	coefficient	NOUN
ejde-32	36	49	of	of	ADP
ejde-32	36	50	food	food	NOUN
ejde-32	36	51	utilization	utilization	NOUN
ejde-32	36	52	of	of	ADP
ejde-32	36	53	the	the	DET
ejde-32	36	54	predator	predator	NOUN
ejde-32	36	55	,	,	PUNCT
ejde-32	36	56	and	and	CCONJ
ejde-32	36	57	µ	µ	NOUN
ejde-32	36	58	is	be	AUX
ejde-32	36	59	the	the	DET
ejde-32	36	60	mortality	mortality	NOUN
ejde-32	36	61	rate	rate	NOUN
ejde-32	36	62	of	of	ADP
ejde-32	36	63	the	the	DET
ejde-32	36	64	predator	predator	NOUN
ejde-32	36	65	.	.	PUNCT
ejde-32	37	1	the	the	DET
ejde-32	37	2	paradox	paradox	NOUN
ejde-32	37	3	of	of	ADP
ejde-32	37	4	enrichment	enrichment	NOUN
ejde-32	37	5	originated	originate	VERB
ejde-32	37	6	from	from	ADP
ejde-32	37	7	mathematical	mathematical	ADJ
ejde-32	37	8	analysis	analysis	NOUN
ejde-32	37	9	on	on	ADP
ejde-32	37	10	the	the	DET
ejde-32	37	11	rosenzweigmacarthur	rosenzweigmacarthur	ADJ
ejde-32	37	12	model	model	NOUN
ejde-32	37	13	.	.	PUNCT
ejde-32	38	1	the	the	DET
ejde-32	38	2	crucial	crucial	ADJ
ejde-32	38	3	question	question	NOUN
ejde-32	38	4	is	be	AUX
ejde-32	38	5	whether	whether	SCONJ
ejde-32	38	6	or	or	CCONJ
ejde-32	38	7	not	not	PART
ejde-32	38	8	the	the	DET
ejde-32	38	9	paradox	paradox	NOUN
ejde-32	38	10	of	of	ADP
ejde-32	38	11	enrichment	enrichment	NOUN
ejde-32	38	12	exists	exist	VERB
ejde-32	38	13	in	in	ADP
ejde-32	38	14	reality	reality	NOUN
ejde-32	38	15	or	or	CCONJ
ejde-32	38	16	it	it	PRON
ejde-32	38	17	is	be	AUX
ejde-32	38	18	simply	simply	ADV
ejde-32	38	19	a	a	DET
ejde-32	38	20	mathematical	mathematical	ADJ
ejde-32	38	21	artifact	artifact	NOUN
ejde-32	38	22	of	of	ADP
ejde-32	38	23	the	the	DET
ejde-32	38	24	model	model	NOUN
ejde-32	38	25	.	.	PUNCT
ejde-32	39	1	the	the	DET
ejde-32	39	2	following	follow	VERB
ejde-32	39	3	arditi	arditi	PROPN
ejde-32	39	4	-	-	PUNCT
ejde-32	39	5	ginzburg	ginzburg	NOUN
ejde-32	39	6	model	model	NOUN
ejde-32	39	7	does	do	AUX
ejde-32	39	8	not	not	PART
ejde-32	39	9	have	have	VERB
ejde-32	39	10	the	the	DET
ejde-32	39	11	paradox	paradox	NOUN
ejde-32	39	12	of	of	ADP
ejde-32	39	13	enrichment	enrichment	NOUN
ejde-32	39	14	,	,	PUNCT
ejde-32	39	15	du	du	PROPN
ejde-32	39	16	dt	dt	NOUN
ejde-32	39	17	=	=	SYM
ejde-32	39	18	αu	αu	PROPN
ejde-32	39	19	(	(	PUNCT
ejde-32	39	20	1−	1−	NUM
ejde-32	39	21	u	u	PROPN
ejde-32	39	22	b	b	PROPN
ejde-32	39	23	)	)	PUNCT
ejde-32	39	24	−	−	PROPN
ejde-32	40	1	v	v	NUM
ejde-32	40	2	f	f	X
ejde-32	40	3	(	(	PUNCT
ejde-32	40	4	u	u	NOUN
ejde-32	40	5	v	v	NOUN
ejde-32	40	6	)	)	PUNCT
ejde-32	40	7	,	,	PUNCT
ejde-32	40	8	dv	dv	PROPN
ejde-32	40	9	dt	dt	X
ejde-32	40	10	=	=	PRON
ejde-32	40	11	κv	κv	PROPN
ejde-32	40	12	f	f	X
ejde-32	40	13	(	(	PUNCT
ejde-32	40	14	u	u	NOUN
ejde-32	40	15	v	v	NOUN
ejde-32	40	16	)	)	PUNCT
ejde-32	40	17	−	−	PROPN
ejde-32	40	18	µv	µv	PROPN
ejde-32	40	19	.	.	PUNCT
ejde-32	41	1	since	since	SCONJ
ejde-32	41	2	there	there	PRON
ejde-32	41	3	is	be	VERB
ejde-32	41	4	a	a	DET
ejde-32	41	5	variety	variety	NOUN
ejde-32	41	6	of	of	ADP
ejde-32	41	7	predator	predator	NOUN
ejde-32	41	8	-	-	PUNCT
ejde-32	41	9	prey	prey	NOUN
ejde-32	41	10	dynamics	dynamic	NOUN
ejde-32	41	11	in	in	ADP
ejde-32	41	12	reality	reality	NOUN
ejde-32	41	13	,	,	PUNCT
ejde-32	41	14	there	there	PRON
ejde-32	41	15	is	be	VERB
ejde-32	41	16	no	no	DET
ejde-32	41	17	universal	universal	ADJ
ejde-32	41	18	mathematical	mathematical	ADJ
ejde-32	41	19	model	model	NOUN
ejde-32	41	20	that	that	PRON
ejde-32	41	21	can	can	AUX
ejde-32	41	22	model	model	VERB
ejde-32	41	23	all	all	DET
ejde-32	41	24	the	the	DET
ejde-32	41	25	predator	predator	NOUN
ejde-32	41	26	-	-	PUNCT
ejde-32	41	27	prey	prey	NOUN
ejde-32	41	28	dynamics	dynamic	NOUN
ejde-32	41	29	.	.	PUNCT
ejde-32	42	1	in	in	ADP
ejde-32	42	2	this	this	DET
ejde-32	42	3	article	article	NOUN
ejde-32	42	4	,	,	PUNCT
ejde-32	42	5	we	we	PRON
ejde-32	42	6	are	be	AUX
ejde-32	42	7	interested	interested	ADJ
ejde-32	42	8	in	in	ADP
ejde-32	42	9	studying	study	VERB
ejde-32	43	1	the	the	DET
ejde-32	43	2	general	general	ADJ
ejde-32	43	3	model	model	NOUN
ejde-32	43	4	du	du	PROPN
ejde-32	43	5	dt	dt	PROPN
ejde-32	43	6	=	=	SYM
ejde-32	43	7	αu	αu	PROPN
ejde-32	43	8	(	(	PUNCT
ejde-32	43	9	1−	1−	NUM
ejde-32	43	10	u	u	PROPN
ejde-32	43	11	b	b	PROPN
ejde-32	43	12	)	)	PUNCT
ejde-32	43	13	−	−	PROPN
ejde-32	44	1	v	v	NUM
ejde-32	44	2	f	f	X
ejde-32	44	3	(	(	PUNCT
ejde-32	44	4	u	u	NOUN
ejde-32	44	5	v	v	ADP
ejde-32	44	6	ν	ν	NOUN
ejde-32	44	7	)	)	PUNCT
ejde-32	44	8	,	,	PUNCT
ejde-32	44	9	dv	dv	PROPN
ejde-32	44	10	dt	dt	X
ejde-32	44	11	=	=	PRON
ejde-32	44	12	κv	κv	PROPN
ejde-32	44	13	f	f	X
ejde-32	44	14	(	(	PUNCT
ejde-32	44	15	u	u	NOUN
ejde-32	44	16	v	v	ADP
ejde-32	44	17	ν	ν	NOUN
ejde-32	44	18	)	)	PUNCT
ejde-32	44	19	−	−	PROPN
ejde-32	45	1	µv	µv	PROPN
ejde-32	45	2	,	,	PUNCT
ejde-32	45	3	(	(	PUNCT
ejde-32	45	4	1.1	1.1	NUM
ejde-32	45	5	)	)	PUNCT
ejde-32	45	6	when	when	SCONJ
ejde-32	45	7	ν	ν	X
ejde-32	45	8	=	=	SYM
ejde-32	45	9	0	0	PROPN
ejde-32	45	10	,	,	PUNCT
ejde-32	45	11	this	this	DET
ejde-32	45	12	model	model	NOUN
ejde-32	45	13	reduces	reduce	VERB
ejde-32	45	14	to	to	ADP
ejde-32	45	15	the	the	DET
ejde-32	45	16	holling	holle	VERB
ejde-32	45	17	model	model	NOUN
ejde-32	45	18	,	,	PUNCT
ejde-32	45	19	when	when	SCONJ
ejde-32	45	20	ν	ν	X
ejde-32	45	21	=	=	SYM
ejde-32	45	22	1	1	NUM
ejde-32	45	23	,	,	PUNCT
ejde-32	45	24	this	this	DET
ejde-32	45	25	model	model	NOUN
ejde-32	45	26	reduces	reduce	VERB
ejde-32	45	27	to	to	ADP
ejde-32	45	28	the	the	DET
ejde-32	45	29	arditi	arditi	PROPN
ejde-32	45	30	-	-	PUNCT
ejde-32	45	31	ginzburg	ginzburg	NOUN
ejde-32	45	32	model	model	NOUN
ejde-32	45	33	,	,	PUNCT
ejde-32	45	34	and	and	CCONJ
ejde-32	45	35	in	in	ADP
ejde-32	45	36	general	general	ADJ
ejde-32	45	37	ν	ν	NOUN
ejde-32	45	38	≥	≥	NOUN
ejde-32	45	39	0	0	NUM
ejde-32	45	40	.	.	PUNCT
ejde-32	46	1	the	the	DET
ejde-32	46	2	introduction	introduction	NOUN
ejde-32	46	3	of	of	ADP
ejde-32	46	4	the	the	DET
ejde-32	46	5	more	more	ADV
ejde-32	46	6	general	general	ADJ
ejde-32	46	7	form	form	NOUN
ejde-32	46	8	of	of	ADP
ejde-32	46	9	functional	functional	ADJ
ejde-32	46	10	response	response	NOUN
ejde-32	46	11	f	f	X
ejde-32	46	12	(	(	PUNCT
ejde-32	46	13	u	u	NOUN
ejde-32	46	14	v	v	ADP
ejde-32	46	15	ν	ν	NOUN
ejde-32	46	16	)	)	PUNCT
ejde-32	46	17	is	be	AUX
ejde-32	46	18	motivated	motivate	VERB
ejde-32	46	19	by	by	ADP
ejde-32	46	20	the	the	DET
ejde-32	46	21	kleiber	kleiber	PROPN
ejde-32	46	22	’s	’s	PART
ejde-32	46	23	law	law	NOUN
ejde-32	46	24	in	in	ADP
ejde-32	46	25	biology	biology	NOUN
ejde-32	46	26	where	where	SCONJ
ejde-32	46	27	we	we	PRON
ejde-32	46	28	can	can	AUX
ejde-32	46	29	draw	draw	VERB
ejde-32	46	30	the	the	DET
ejde-32	46	31	analogy	analogy	NOUN
ejde-32	46	32	of	of	ADP
ejde-32	46	33	the	the	DET
ejde-32	46	34	mass	mass	NOUN
ejde-32	46	35	of	of	ADP
ejde-32	46	36	an	an	DET
ejde-32	46	37	animal	animal	NOUN
ejde-32	46	38	to	to	ADP
ejde-32	46	39	the	the	DET
ejde-32	46	40	population	population	NOUN
ejde-32	46	41	of	of	ADP
ejde-32	46	42	predator	predator	NOUN
ejde-32	46	43	and	and	CCONJ
ejde-32	46	44	the	the	DET
ejde-32	46	45	animal	animal	NOUN
ejde-32	46	46	’s	’s	PART
ejde-32	46	47	metabolic	metabolic	NOUN
ejde-32	46	48	rate	rate	NOUN
ejde-32	46	49	to	to	ADP
ejde-32	46	50	the	the	DET
ejde-32	46	51	population	population	NOUN
ejde-32	46	52	of	of	ADP
ejde-32	46	53	prey	prey	PROPN
ejde-32	46	54	.	.	PUNCT
ejde-32	47	1	the	the	DET
ejde-32	47	2	kleiber	kleiber	PROPN
ejde-32	47	3	’s	’s	PART
ejde-32	47	4	law	law	NOUN
ejde-32	47	5	states	state	VERB
ejde-32	47	6	that	that	SCONJ
ejde-32	47	7	an	an	DET
ejde-32	47	8	animal	animal	NOUN
ejde-32	47	9	’s	’s	PART
ejde-32	47	10	metabolic	metabolic	NOUN
ejde-32	47	11	rate	rate	NOUN
ejde-32	47	12	scales	scale	NOUN
ejde-32	47	13	to	to	ADP
ejde-32	47	14	the	the	DET
ejde-32	47	15	3/4	3/4	NUM
ejde-32	47	16	power	power	NOUN
ejde-32	47	17	of	of	ADP
ejde-32	47	18	the	the	DET
ejde-32	47	19	animal	animal	NOUN
ejde-32	47	20	’s	’s	PART
ejde-32	47	21	mass	mass	NOUN
ejde-32	47	22	.	.	PUNCT
ejde-32	48	1	2	2	X
ejde-32	48	2	.	.	X
ejde-32	48	3	dynamics	dynamic	NOUN
ejde-32	48	4	of	of	ADP
ejde-32	48	5	a	a	DET
ejde-32	48	6	more	more	ADV
ejde-32	48	7	general	general	ADJ
ejde-32	48	8	predator	predator	NOUN
ejde-32	48	9	-	-	PUNCT
ejde-32	48	10	prey	prey	NOUN
ejde-32	48	11	model	model	NOUN
ejde-32	48	12	we	we	PRON
ejde-32	48	13	study	study	VERB
ejde-32	48	14	the	the	DET
ejde-32	48	15	following	following	ADJ
ejde-32	48	16	example	example	NOUN
ejde-32	48	17	of	of	ADP
ejde-32	48	18	the	the	DET
ejde-32	48	19	general	general	ADJ
ejde-32	48	20	model	model	NOUN
ejde-32	48	21	(	(	PUNCT
ejde-32	48	22	1.1	1.1	NUM
ejde-32	48	23	)	)	PUNCT
ejde-32	48	24	,	,	PUNCT
ejde-32	48	25	du	du	PROPN
ejde-32	48	26	dt	dt	NOUN
ejde-32	48	27	=	=	SYM
ejde-32	48	28	αu	αu	PROPN
ejde-32	48	29	(	(	PUNCT
ejde-32	48	30	1−	1−	NUM
ejde-32	48	31	u	u	PROPN
ejde-32	48	32	b	b	PROPN
ejde-32	48	33	)	)	PUNCT
ejde-32	48	34	−	−	PROPN
ejde-32	48	35	γ	γ	X
ejde-32	48	36	u	u	NOUN
ejde-32	48	37	v	v	ADP
ejde-32	48	38	ν	ν	X
ejde-32	48	39	u	u	NOUN
ejde-32	48	40	v	v	ADP
ejde-32	48	41	ν	ν	NOUN
ejde-32	48	42	+	+	CCONJ
ejde-32	48	43	h	h	PROPN
ejde-32	48	44	v	v	NOUN
ejde-32	48	45	,	,	PUNCT
ejde-32	48	46	dv	dv	PROPN
ejde-32	48	47	dt	dt	NOUN
ejde-32	49	1	=	=	PUNCT
ejde-32	49	2	κγ	κγ	PROPN
ejde-32	49	3	u	u	NOUN
ejde-32	49	4	v	v	ADP
ejde-32	49	5	ν	ν	X
ejde-32	49	6	u	u	NOUN
ejde-32	49	7	v	v	ADP
ejde-32	49	8	ν	ν	NOUN
ejde-32	49	9	+	+	CCONJ
ejde-32	49	10	h	h	NOUN
ejde-32	49	11	v	v	NOUN
ejde-32	49	12	−	−	PROPN
ejde-32	49	13	µv	µv	PROPN
ejde-32	49	14	,	,	PUNCT
ejde-32	49	15	ejde-2023/17	ejde-2023/17	NOUN
ejde-32	49	16	enrichment	enrichment	NOUN
ejde-32	49	17	paradox	paradox	NOUN
ejde-32	49	18	and	and	CCONJ
ejde-32	49	19	applications	application	NOUN
ejde-32	49	20	3	3	NUM
ejde-32	49	21	where	where	SCONJ
ejde-32	49	22	the	the	DET
ejde-32	49	23	parameters	parameter	NOUN
ejde-32	49	24	are	be	AUX
ejde-32	49	25	as	as	SCONJ
ejde-32	49	26	given	give	VERB
ejde-32	49	27	before	before	ADV
ejde-32	49	28	.	.	PUNCT
ejde-32	50	1	after	after	ADP
ejde-32	50	2	introducing	introduce	VERB
ejde-32	50	3	the	the	DET
ejde-32	50	4	dimensionless	dimensionless	NOUN
ejde-32	50	5	quantities	quantity	NOUN
ejde-32	50	6	and	and	CCONJ
ejde-32	50	7	the	the	DET
ejde-32	50	8	parameters	parameter	NOUN
ejde-32	51	1	u	u	NOUN
ejde-32	51	2	=	=	PROPN
ejde-32	51	3	u	u	PROPN
ejde-32	51	4	b	b	PROPN
ejde-32	51	5	,	,	PUNCT
ejde-32	51	6	v	v	NOUN
ejde-32	51	7	=	=	SYM
ejde-32	51	8	γ	γ	X
ejde-32	51	9	αb	αb	ADP
ejde-32	51	10	v	v	PROPN
ejde-32	51	11	,	,	PUNCT
ejde-32	51	12	τ	τ	PROPN
ejde-32	51	13	=	=	SYM
ejde-32	51	14	αt	αt	PROPN
ejde-32	51	15	,	,	PUNCT
ejde-32	51	16	h	h	NOUN
ejde-32	51	17	=	=	SYM
ejde-32	51	18	bν−1h	bν−1h	PROPN
ejde-32	51	19	(	(	PUNCT
ejde-32	51	20	α	α	NOUN
ejde-32	51	21	γ	γ	PROPN
ejde-32	51	22	)	)	PUNCT
ejde-32	51	23	ν	ν	NOUN
ejde-32	51	24	,	,	PUNCT
ejde-32	51	25	k	k	X
ejde-32	52	1	=	=	PUNCT
ejde-32	52	2	κγ	κγ	PROPN
ejde-32	52	3	α	α	NOUN
ejde-32	52	4	,	,	PUNCT
ejde-32	52	5	r	r	NOUN
ejde-32	52	6	=	=	SYM
ejde-32	52	7	µ	µ	X
ejde-32	52	8	κγ	κγ	INTJ
ejde-32	52	9	,	,	PUNCT
ejde-32	52	10	we	we	PRON
ejde-32	52	11	obtain	obtain	VERB
ejde-32	52	12	the	the	DET
ejde-32	52	13	dimensionless	dimensionless	NOUN
ejde-32	52	14	form	form	NOUN
ejde-32	52	15	of	of	ADP
ejde-32	52	16	the	the	DET
ejde-32	52	17	model	model	NOUN
ejde-32	52	18	,	,	PUNCT
ejde-32	52	19	du	du	PROPN
ejde-32	52	20	dτ	dτ	NOUN
ejde-32	52	21	=	=	PROPN
ejde-32	52	22	u(1−	u(1−	PROPN
ejde-32	52	23	u)−	u)−	PROPN
ejde-32	52	24	u	u	PROPN
ejde-32	53	1	vν	vν	ADV
ejde-32	53	2	u	u	NOUN
ejde-32	53	3	vν	vν	ADV
ejde-32	53	4	+	+	NOUN
ejde-32	53	5	h	h	NOUN
ejde-32	53	6	v	v	NOUN
ejde-32	53	7	,	,	PUNCT
ejde-32	53	8	(	(	PUNCT
ejde-32	53	9	2.1	2.1	NUM
ejde-32	53	10	)	)	PUNCT
ejde-32	54	1	dv	dv	PROPN
ejde-32	54	2	dτ	dτ	PROPN
ejde-32	55	1	=	=	PROPN
ejde-32	55	2	k	k	PROPN
ejde-32	55	3	(	(	PUNCT
ejde-32	55	4	u	u	NOUN
ejde-32	55	5	vν	vν	ADV
ejde-32	55	6	u	u	VERB
ejde-32	55	7	vν	vν	ADJ
ejde-32	55	8	+	+	NOUN
ejde-32	55	9	h	h	NOUN
ejde-32	55	10	−	−	NOUN
ejde-32	55	11	r	r	NOUN
ejde-32	55	12	)	)	PUNCT
ejde-32	55	13	v	v	NOUN
ejde-32	55	14	,	,	PUNCT
ejde-32	55	15	(	(	PUNCT
ejde-32	55	16	2.2	2.2	NUM
ejde-32	55	17	)	)	PUNCT
ejde-32	55	18	where	where	SCONJ
ejde-32	55	19	h	h	NOUN
ejde-32	55	20	is	be	AUX
ejde-32	55	21	the	the	DET
ejde-32	55	22	capacity	capacity	NOUN
ejde-32	55	23	-	-	PUNCT
ejde-32	55	24	predation	predation	NOUN
ejde-32	55	25	number	number	NOUN
ejde-32	55	26	,	,	PUNCT
ejde-32	55	27	and	and	CCONJ
ejde-32	55	28	r	r	NOUN
ejde-32	55	29	is	be	AUX
ejde-32	55	30	named	name	VERB
ejde-32	55	31	the	the	DET
ejde-32	55	32	mortality	mortality	NOUN
ejde-32	55	33	-	-	PUNCT
ejde-32	55	34	food	food	NOUN
ejde-32	55	35	number	number	NOUN
ejde-32	55	36	.	.	PUNCT
ejde-32	56	1	enrichment	enrichment	NOUN
ejde-32	56	2	corresponds	correspond	VERB
ejde-32	56	3	to	to	ADP
ejde-32	56	4	the	the	DET
ejde-32	56	5	increase	increase	NOUN
ejde-32	56	6	of	of	ADP
ejde-32	56	7	the	the	DET
ejde-32	56	8	carrying	carrying	NOUN
ejde-32	56	9	capacity	capacity	NOUN
ejde-32	56	10	b.	b.	PROPN
ejde-32	57	1	thus	thus	ADV
ejde-32	57	2	when	when	SCONJ
ejde-32	57	3	0	0	NUM
ejde-32	57	4	≤	≤	NUM
ejde-32	57	5	ν	ν	X
ejde-32	57	6	<	<	X
ejde-32	57	7	1	1	NUM
ejde-32	57	8	,	,	PUNCT
ejde-32	57	9	enrichment	enrichment	NOUN
ejde-32	57	10	corresponds	correspond	VERB
ejde-32	57	11	to	to	ADP
ejde-32	57	12	the	the	DET
ejde-32	57	13	decrease	decrease	NOUN
ejde-32	57	14	of	of	ADP
ejde-32	57	15	h	h	NOUN
ejde-32	57	16	,	,	PUNCT
ejde-32	57	17	while	while	SCONJ
ejde-32	57	18	when	when	SCONJ
ejde-32	57	19	ν	ν	X
ejde-32	57	20	>	>	X
ejde-32	57	21	1	1	NUM
ejde-32	57	22	,	,	PUNCT
ejde-32	57	23	enrichment	enrichment	NOUN
ejde-32	57	24	corresponds	correspond	VERB
ejde-32	57	25	to	to	ADP
ejde-32	57	26	the	the	DET
ejde-32	57	27	increase	increase	NOUN
ejde-32	57	28	of	of	ADP
ejde-32	57	29	h.	h.	NOUN
ejde-32	57	30	when	when	SCONJ
ejde-32	57	31	ν	ν	X
ejde-32	57	32	=	=	SYM
ejde-32	57	33	1	1	NUM
ejde-32	57	34	,	,	PUNCT
ejde-32	57	35	enrichment	enrichment	NOUN
ejde-32	57	36	does	do	AUX
ejde-32	57	37	not	not	PART
ejde-32	57	38	change	change	VERB
ejde-32	57	39	h.	h.	NOUN
ejde-32	57	40	when	when	SCONJ
ejde-32	57	41	ν	ν	X
ejde-32	57	42	>	>	X
ejde-32	57	43	0	0	PROPN
ejde-32	57	44	,	,	PUNCT
ejde-32	57	45	the	the	DET
ejde-32	57	46	term	term	NOUN
ejde-32	57	47	s(u	s(u	PROPN
ejde-32	57	48	,	,	PUNCT
ejde-32	57	49	v	v	NOUN
ejde-32	57	50	)	)	PUNCT
ejde-32	58	1	=	=	SYM
ejde-32	58	2	u	u	NOUN
ejde-32	58	3	vν	vν	ADV
ejde-32	58	4	u	u	VERB
ejde-32	58	5	vν	vν	ADV
ejde-32	58	6	+	+	ADV
ejde-32	58	7	h	h	NOUN
ejde-32	58	8	v	v	NOUN
ejde-32	58	9	on	on	ADP
ejde-32	58	10	the	the	DET
ejde-32	58	11	right	right	ADJ
ejde-32	58	12	-	-	PUNCT
ejde-32	58	13	hand	hand	NOUN
ejde-32	58	14	sides	side	NOUN
ejde-32	58	15	of	of	ADP
ejde-32	58	16	(	(	PUNCT
ejde-32	58	17	2.1)-(2.2	2.1)-(2.2	NUM
ejde-32	58	18	)	)	PUNCT
ejde-32	58	19	is	be	AUX
ejde-32	58	20	singular	singular	ADJ
ejde-32	58	21	as	as	ADP
ejde-32	58	22	v	v	NOUN
ejde-32	58	23	→	→	SYM
ejde-32	58	24	0	0	NUM
ejde-32	58	25	+	+	NOUN
ejde-32	58	26	.	.	PUNCT
ejde-32	59	1	we	we	PRON
ejde-32	59	2	do	do	AUX
ejde-32	59	3	have	have	VERB
ejde-32	59	4	the	the	DET
ejde-32	59	5	limit	limit	NOUN
ejde-32	59	6	lim	lim	PROPN
ejde-32	59	7	u→u∗,v→0	u→u∗,v→0	VERB
ejde-32	59	8	+	+	PROPN
ejde-32	59	9	s(u	s(u	PROPN
ejde-32	59	10	,	,	PUNCT
ejde-32	59	11	v	v	NOUN
ejde-32	59	12	)	)	PUNCT
ejde-32	59	13	=	=	SYM
ejde-32	59	14	0	0	NUM
ejde-32	59	15	,	,	PUNCT
ejde-32	59	16	for	for	ADP
ejde-32	59	17	any	any	DET
ejde-32	59	18	u∗	u∗	ADJ
ejde-32	59	19	≥	≥	NOUN
ejde-32	59	20	0	0	NUM
ejde-32	59	21	.	.	PUNCT
ejde-32	60	1	the	the	DET
ejde-32	60	2	partial	partial	ADJ
ejde-32	60	3	derivatives	derivative	NOUN
ejde-32	60	4	of	of	ADP
ejde-32	60	5	s	s	PRON
ejde-32	60	6	are	be	AUX
ejde-32	60	7	∂s	∂s	PROPN
ejde-32	60	8	∂u	∂u	PROPN
ejde-32	60	9	=	=	PUNCT
ejde-32	60	10	h	h	NOUN
ejde-32	61	1	1	1	NUM
ejde-32	61	2	vν	vν	ADJ
ejde-32	61	3	(	(	PUNCT
ejde-32	61	4	u	u	NOUN
ejde-32	61	5	vν	vν	NOUN
ejde-32	61	6	+	+	ADJ
ejde-32	61	7	h	h	NOUN
ejde-32	61	8	)	)	PUNCT
ejde-32	61	9	2	2	NUM
ejde-32	61	10	v	v	NOUN
ejde-32	61	11	,	,	PUNCT
ejde-32	61	12	∂s	∂s	PROPN
ejde-32	61	13	∂v	∂v	PROPN
ejde-32	62	1	=	=	PUNCT
ejde-32	62	2	u	u	PROPN
ejde-32	62	3	vν	vν	ADV
ejde-32	62	4	u	u	VERB
ejde-32	62	5	vν	vν	NOUN
ejde-32	62	6	+	+	NOUN
ejde-32	62	7	h	h	NOUN
ejde-32	62	8	(	(	PUNCT
ejde-32	62	9	h	h	NOUN
ejde-32	62	10	u	u	NOUN
ejde-32	62	11	vν	vν	NOUN
ejde-32	62	12	+	+	ADJ
ejde-32	62	13	h	h	NOUN
ejde-32	62	14	+	+	NOUN
ejde-32	62	15	1	1	NUM
ejde-32	62	16	)	)	PUNCT
ejde-32	62	17	.	.	PUNCT
ejde-32	63	1	we	we	PRON
ejde-32	63	2	have	have	VERB
ejde-32	63	3	lim	lim	NOUN
ejde-32	63	4	u→u∗,v→0	u→u∗,v→0	VERB
ejde-32	63	5	+	+	PROPN
ejde-32	64	1	∂s	∂s	PROPN
ejde-32	65	1	∂u	∂u	PROPN
ejde-32	66	1	=	=	SYM
ejde-32	67	1	0	0	PROPN
ejde-32	68	1	,	,	PUNCT
ejde-32	68	2	lim	lim	PROPN
ejde-32	68	3	u→u∗,v→0	u→u∗,v→0	VERB
ejde-32	68	4	+	+	PROPN
ejde-32	68	5	∂s	∂s	PROPN
ejde-32	68	6	∂v	∂v	NOUN
ejde-32	68	7	=	=	SYM
ejde-32	68	8	1	1	NUM
ejde-32	68	9	,	,	PUNCT
ejde-32	68	10	for	for	ADP
ejde-32	68	11	any	any	DET
ejde-32	68	12	u∗	u∗	NOUN
ejde-32	68	13	>	>	X
ejde-32	68	14	0	0	X
ejde-32	68	15	.	.	PUNCT
ejde-32	69	1	if	if	SCONJ
ejde-32	69	2	0	0	NUM
ejde-32	69	3	<	<	X
ejde-32	69	4	ν	ν	X
ejde-32	69	5	<	<	X
ejde-32	69	6	1	1	NUM
ejde-32	69	7	,	,	PUNCT
ejde-32	69	8	lim	lim	PROPN
ejde-32	69	9	u→0+,v→0	u→0+,v→0	NOUN
ejde-32	69	10	+	+	PROPN
ejde-32	69	11	∂s	∂s	PROPN
ejde-32	69	12	∂u	∂u	PROPN
ejde-32	70	1	=	=	SYM
ejde-32	71	1	0	0	X
ejde-32	71	2	.	.	PUNCT
ejde-32	72	1	if	if	SCONJ
ejde-32	72	2	ν	ν	X
ejde-32	72	3	>	>	X
ejde-32	72	4	1	1	NUM
ejde-32	72	5	,	,	PUNCT
ejde-32	72	6	then	then	ADV
ejde-32	72	7	lim	lim	PROPN
ejde-32	72	8	u→0+,v→0	u→0+,v→0	PROPN
ejde-32	72	9	+	+	PROPN
ejde-32	72	10	∂s	∂s	PROPN
ejde-32	72	11	∂u	∂u	PROPN
ejde-32	72	12	does	do	AUX
ejde-32	72	13	not	not	PART
ejde-32	72	14	exist	exist	VERB
ejde-32	72	15	.	.	PUNCT
ejde-32	73	1	finally	finally	ADV
ejde-32	73	2	we	we	PRON
ejde-32	73	3	have	have	VERB
ejde-32	73	4	lim	lim	PROPN
ejde-32	73	5	u→0+,v→0	u→0+,v→0	NOUN
ejde-32	73	6	+	+	PROPN
ejde-32	73	7	∂s	∂s	PROPN
ejde-32	73	8	∂v	∂v	PROPN
ejde-32	73	9	does	do	AUX
ejde-32	73	10	not	not	PART
ejde-32	73	11	exist	exist	VERB
ejde-32	73	12	for	for	ADP
ejde-32	73	13	any	any	DET
ejde-32	73	14	ν	ν	NOUN
ejde-32	73	15	>	>	X
ejde-32	73	16	0	0	NUM
ejde-32	73	17	.	.	PUNCT
ejde-32	74	1	thus	thus	ADV
ejde-32	74	2	when	when	SCONJ
ejde-32	74	3	ν	ν	X
ejde-32	74	4	>	>	X
ejde-32	74	5	0	0	NUM
ejde-32	74	6	,	,	PUNCT
ejde-32	74	7	(	(	PUNCT
ejde-32	74	8	u	u	NOUN
ejde-32	74	9	,	,	PUNCT
ejde-32	74	10	v)=(0	v)=(0	PRON
ejde-32	74	11	,	,	PUNCT
ejde-32	74	12	0	0	NUM
ejde-32	74	13	)	)	PUNCT
ejde-32	74	14	and	and	CCONJ
ejde-32	74	15	(	(	PUNCT
ejde-32	74	16	1	1	NUM
ejde-32	74	17	,	,	PUNCT
ejde-32	74	18	0	0	NUM
ejde-32	74	19	)	)	PUNCT
ejde-32	74	20	are	be	AUX
ejde-32	74	21	fixed	fix	VERB
ejde-32	74	22	points	point	NOUN
ejde-32	74	23	of	of	ADP
ejde-32	74	24	the	the	DET
ejde-32	74	25	system	system	NOUN
ejde-32	74	26	(	(	PUNCT
ejde-32	74	27	2.1)-(2.2	2.1)-(2.2	NUM
ejde-32	74	28	)	)	PUNCT
ejde-32	74	29	,	,	PUNCT
ejde-32	74	30	and	and	CCONJ
ejde-32	74	31	the	the	DET
ejde-32	74	32	jacobian	jacobian	ADJ
ejde-32	74	33	matrix	matrix	NOUN
ejde-32	74	34	of	of	ADP
ejde-32	74	35	the	the	DET
ejde-32	74	36	right	right	ADJ
ejde-32	74	37	hand	hand	NOUN
ejde-32	74	38	sides	side	NOUN
ejde-32	74	39	of	of	ADP
ejde-32	74	40	the	the	DET
ejde-32	74	41	system	system	NOUN
ejde-32	74	42	(	(	PUNCT
ejde-32	74	43	2.1)-(2.2	2.1)-(2.2	NUM
ejde-32	74	44	)	)	PUNCT
ejde-32	74	45	does	do	AUX
ejde-32	74	46	not	not	PART
ejde-32	74	47	exist	exist	VERB
ejde-32	74	48	at	at	ADP
ejde-32	74	49	(	(	PUNCT
ejde-32	74	50	0	0	NUM
ejde-32	74	51	,	,	PUNCT
ejde-32	74	52	0	0	NUM
ejde-32	74	53	)	)	PUNCT
ejde-32	74	54	,	,	PUNCT
ejde-32	74	55	and	and	CCONJ
ejde-32	74	56	at	at	ADP
ejde-32	74	57	(	(	PUNCT
ejde-32	74	58	1	1	NUM
ejde-32	74	59	,	,	PUNCT
ejde-32	74	60	0	0	NUM
ejde-32	74	61	)	)	PUNCT
ejde-32	74	62	is	be	AUX
ejde-32	74	63	given	give	VERB
ejde-32	74	64	by	by	ADP
ejde-32	74	65	(	(	PUNCT
ejde-32	74	66	−1	−1	NOUN
ejde-32	74	67	−1	−1	NOUN
ejde-32	74	68	0	0	PUNCT
ejde-32	74	69	k(1−	k(1−	PROPN
ejde-32	74	70	r	r	NOUN
ejde-32	74	71	)	)	PUNCT
ejde-32	74	72	)	)	PUNCT
ejde-32	74	73	.	.	PUNCT
ejde-32	75	1	thus	thus	ADV
ejde-32	75	2	,	,	PUNCT
ejde-32	75	3	(	(	PUNCT
ejde-32	75	4	1	1	NUM
ejde-32	75	5	,	,	PUNCT
ejde-32	75	6	0	0	NUM
ejde-32	75	7	)	)	PUNCT
ejde-32	75	8	is	be	AUX
ejde-32	75	9	a	a	DET
ejde-32	75	10	saddle	saddle	NOUN
ejde-32	75	11	when	when	SCONJ
ejde-32	75	12	r	r	NOUN
ejde-32	75	13	<	<	X
ejde-32	75	14	1	1	NUM
ejde-32	75	15	,	,	PUNCT
ejde-32	75	16	and	and	CCONJ
ejde-32	75	17	a	a	DET
ejde-32	75	18	stable	stable	ADJ
ejde-32	75	19	node	node	NOUN
ejde-32	75	20	when	when	SCONJ
ejde-32	75	21	r	r	NOUN
ejde-32	75	22	>	>	X
ejde-32	75	23	1	1	NUM
ejde-32	75	24	.	.	PUNCT
ejde-32	76	1	that	that	PRON
ejde-32	76	2	is	be	AUX
ejde-32	76	3	,	,	PUNCT
ejde-32	76	4	when	when	SCONJ
ejde-32	76	5	the	the	DET
ejde-32	76	6	mortality	mortality	NOUN
ejde-32	76	7	rate	rate	NOUN
ejde-32	76	8	of	of	ADP
ejde-32	76	9	the	the	DET
ejde-32	76	10	predator	predator	NOUN
ejde-32	76	11	is	be	AUX
ejde-32	76	12	high	high	ADJ
ejde-32	76	13	enough	enough	ADV
ejde-32	76	14	,	,	PUNCT
ejde-32	76	15	the	the	DET
ejde-32	76	16	predator	predator	NOUN
ejde-32	76	17	will	will	AUX
ejde-32	76	18	go	go	VERB
ejde-32	76	19	extinct	extinct	ADJ
ejde-32	76	20	,	,	PUNCT
ejde-32	76	21	and	and	CCONJ
ejde-32	76	22	4	4	NUM
ejde-32	76	23	z.	z.	PROPN
ejde-32	76	24	c.	c.	PROPN
ejde-32	76	25	feng	feng	PROPN
ejde-32	76	26	,	,	PUNCT
ejde-32	76	27	y.	y.	PROPN
ejde-32	76	28	charles	charles	PROPN
ejde-32	76	29	li	li	PROPN
ejde-32	76	30	ejde-2023/17	ejde-2023/17	PROPN
ejde-32	76	31	the	the	DET
ejde-32	76	32	prey	prey	PROPN
ejde-32	76	33	population	population	NOUN
ejde-32	76	34	will	will	AUX
ejde-32	76	35	reach	reach	VERB
ejde-32	76	36	its	its	PRON
ejde-32	76	37	full	full	ADJ
ejde-32	76	38	capacity	capacity	NOUN
ejde-32	76	39	,	,	PUNCT
ejde-32	76	40	see	see	VERB
ejde-32	76	41	figure	figure	NOUN
ejde-32	76	42	1	1	NUM
ejde-32	76	43	for	for	ADP
ejde-32	76	44	an	an	DET
ejde-32	76	45	illustration	illustration	NOUN
ejde-32	76	46	.	.	PUNCT
ejde-32	77	1	when	when	SCONJ
ejde-32	77	2	r	r	NOUN
ejde-32	77	3	<	<	X
ejde-32	77	4	1	1	NUM
ejde-32	77	5	,	,	PUNCT
ejde-32	77	6	there	there	PRON
ejde-32	77	7	may	may	AUX
ejde-32	77	8	be	be	AUX
ejde-32	77	9	other	other	ADJ
ejde-32	77	10	fixed	fix	VERB
ejde-32	77	11	points	point	NOUN
ejde-32	77	12	given	give	VERB
ejde-32	77	13	by	by	ADP
ejde-32	77	14	v	v	NOUN
ejde-32	77	15	=	=	SYM
ejde-32	77	16	1	1	NUM
ejde-32	77	17	r	r	NOUN
ejde-32	77	18	u(1−	u(1−	PROPN
ejde-32	77	19	u	u	NOUN
ejde-32	77	20	)	)	PUNCT
ejde-32	77	21	,	,	PUNCT
ejde-32	77	22	v	v	X
ejde-32	77	23	=	=	SYM
ejde-32	77	24	(	(	PUNCT
ejde-32	77	25	1−	1−	NUM
ejde-32	77	26	r	r	NOUN
ejde-32	77	27	rh	rh	PROPN
ejde-32	77	28	)	)	PUNCT
ejde-32	77	29	1	1	NUM
ejde-32	77	30	/	/	SYM
ejde-32	77	31	ν	ν	NOUN
ejde-32	77	32	u1	u1	NOUN
ejde-32	77	33	/	/	SYM
ejde-32	77	34	ν	ν	NOUN
ejde-32	77	35	.	.	PUNCT
ejde-32	78	1	(	(	PUNCT
ejde-32	78	2	2.3	2.3	NUM
ejde-32	78	3	)	)	PUNCT
ejde-32	78	4	for	for	ADP
ejde-32	78	5	example	example	NOUN
ejde-32	78	6	,	,	PUNCT
ejde-32	78	7	in	in	ADP
ejde-32	78	8	the	the	DET
ejde-32	78	9	case	case	NOUN
ejde-32	78	10	of	of	ADP
ejde-32	78	11	ν	ν	X
ejde-32	78	12	=	=	SYM
ejde-32	78	13	1	1	NUM
ejde-32	78	14	of	of	ADP
ejde-32	78	15	arditi	arditi	NOUN
ejde-32	78	16	-	-	PUNCT
ejde-32	78	17	ginzburg	ginzburg	NOUN
ejde-32	78	18	,	,	PUNCT
ejde-32	78	19	when	when	SCONJ
ejde-32	78	20	h	h	PROPN
ejde-32	78	21	>	>	X
ejde-32	78	22	1	1	NUM
ejde-32	78	23	−	−	NOUN
ejde-32	78	24	r	r	NOUN
ejde-32	78	25	,	,	PUNCT
ejde-32	78	26	another	another	DET
ejde-32	78	27	fixed	fix	VERB
ejde-32	78	28	point	point	NOUN
ejde-32	78	29	is	be	AUX
ejde-32	78	30	given	give	VERB
ejde-32	78	31	by	by	ADP
ejde-32	78	32	u	u	NOUN
ejde-32	78	33	=	=	PROPN
ejde-32	78	34	1−	1−	NUM
ejde-32	78	35	1−	1−	NUM
ejde-32	78	36	r	r	NOUN
ejde-32	78	37	h	h	NOUN
ejde-32	78	38	,	,	PUNCT
ejde-32	78	39	v	v	NOUN
ejde-32	78	40	=	=	SYM
ejde-32	78	41	1−	1−	NUM
ejde-32	78	42	r	r	NOUN
ejde-32	78	43	rh	rh	PROPN
ejde-32	78	44	(	(	PUNCT
ejde-32	78	45	1−	1−	NUM
ejde-32	78	46	1−	1−	NUM
ejde-32	78	47	r	r	NOUN
ejde-32	78	48	h	h	NOUN
ejde-32	78	49	)	)	PUNCT
ejde-32	78	50	.	.	PUNCT
ejde-32	79	1	when	when	SCONJ
ejde-32	79	2	ν	ν	X
ejde-32	79	3	>	>	X
ejde-32	79	4	1	1	NUM
ejde-32	79	5	,	,	PUNCT
ejde-32	79	6	there	there	PRON
ejde-32	79	7	are	be	VERB
ejde-32	79	8	two	two	NUM
ejde-32	79	9	other	other	ADJ
ejde-32	79	10	fixed	fix	VERB
ejde-32	79	11	points	point	NOUN
ejde-32	79	12	when	when	SCONJ
ejde-32	79	13	h	h	NOUN
ejde-32	79	14	is	be	AUX
ejde-32	79	15	large	large	ADJ
ejde-32	79	16	enough	enough	ADV
ejde-32	79	17	,	,	PUNCT
ejde-32	79	18	otherwise	otherwise	ADV
ejde-32	79	19	there	there	PRON
ejde-32	79	20	is	be	VERB
ejde-32	79	21	no	no	DET
ejde-32	79	22	more	more	ADV
ejde-32	79	23	fixed	fix	VERB
ejde-32	79	24	point	point	NOUN
ejde-32	79	25	.	.	PUNCT
ejde-32	80	1	enrichment	enrichment	NOUN
ejde-32	80	2	here	here	ADV
ejde-32	80	3	corresponds	correspond	VERB
ejde-32	80	4	to	to	ADP
ejde-32	80	5	increasing	increase	VERB
ejde-32	80	6	h.	h.	NOUN
ejde-32	80	7	when	when	SCONJ
ejde-32	80	8	h	h	NOUN
ejde-32	80	9	is	be	AUX
ejde-32	80	10	not	not	PART
ejde-32	80	11	large	large	ADJ
ejde-32	80	12	enough	enough	ADV
ejde-32	80	13	,	,	PUNCT
ejde-32	80	14	there	there	PRON
ejde-32	80	15	is	be	VERB
ejde-32	80	16	no	no	DET
ejde-32	80	17	extra	extra	ADJ
ejde-32	80	18	fixed	fix	VERB
ejde-32	80	19	point	point	NOUN
ejde-32	80	20	,	,	PUNCT
ejde-32	80	21	the	the	DET
ejde-32	80	22	dynamics	dynamic	NOUN
ejde-32	80	23	always	always	ADV
ejde-32	80	24	ends	end	VERB
ejde-32	80	25	up	up	ADP
ejde-32	80	26	in	in	ADP
ejde-32	80	27	extinction	extinction	NOUN
ejde-32	80	28	of	of	ADP
ejde-32	80	29	both	both	CCONJ
ejde-32	80	30	the	the	DET
ejde-32	80	31	predator	predator	NOUN
ejde-32	80	32	and	and	CCONJ
ejde-32	80	33	the	the	DET
ejde-32	80	34	prey	prey	NOUN
ejde-32	80	35	(	(	PUNCT
ejde-32	80	36	0	0	NUM
ejde-32	80	37	,	,	PUNCT
ejde-32	80	38	0	0	NUM
ejde-32	80	39	)	)	PUNCT
ejde-32	80	40	;	;	PUNCT
ejde-32	80	41	see	see	VERB
ejde-32	80	42	figure	figure	NOUN
ejde-32	80	43	2	2	NUM
ejde-32	80	44	for	for	ADP
ejde-32	80	45	an	an	DET
ejde-32	80	46	illustration	illustration	NOUN
ejde-32	80	47	.	.	PUNCT
ejde-32	81	1	increasing	increase	VERB
ejde-32	81	2	h	h	NOUN
ejde-32	81	3	to	to	ADP
ejde-32	81	4	some	some	DET
ejde-32	81	5	value	value	NOUN
ejde-32	81	6	,	,	PUNCT
ejde-32	81	7	the	the	DET
ejde-32	81	8	two	two	NUM
ejde-32	81	9	extra	extra	ADJ
ejde-32	81	10	fixed	fix	VERB
ejde-32	81	11	points	point	NOUN
ejde-32	81	12	are	be	AUX
ejde-32	81	13	about	about	ADJ
ejde-32	81	14	to	to	PART
ejde-32	81	15	emerge	emerge	VERB
ejde-32	81	16	as	as	SCONJ
ejde-32	81	17	shown	show	VERB
ejde-32	81	18	in	in	ADP
ejde-32	81	19	figure	figure	NOUN
ejde-32	81	20	3	3	NUM
ejde-32	81	21	.	.	PUNCT
ejde-32	82	1	the	the	DET
ejde-32	82	2	two	two	NUM
ejde-32	82	3	extra	extra	ADJ
ejde-32	82	4	fixed	fix	VERB
ejde-32	82	5	points	point	NOUN
ejde-32	82	6	emerge	emerge	VERB
ejde-32	82	7	via	via	ADP
ejde-32	82	8	saddle	saddle	NOUN
ejde-32	82	9	-	-	PUNCT
ejde-32	82	10	node	node	NOUN
ejde-32	82	11	bifurcation	bifurcation	NOUN
ejde-32	82	12	at	at	ADP
ejde-32	82	13	uc	uc	PROPN
ejde-32	82	14	=	=	PUNCT
ejde-32	82	15	ν	ν	NOUN
ejde-32	82	16	−	−	NUM
ejde-32	82	17	1	1	NUM
ejde-32	82	18	2ν	2ν	NOUN
ejde-32	82	19	−	−	NOUN
ejde-32	82	20	1	1	NUM
ejde-32	82	21	,	,	PUNCT
ejde-32	83	1	vc	vc	NOUN
ejde-32	83	2	=	=	SYM
ejde-32	83	3	1	1	NUM
ejde-32	83	4	r	r	NOUN
ejde-32	83	5	uc(1−	uc(1−	PROPN
ejde-32	83	6	uc	uc	PROPN
ejde-32	83	7	)	)	PUNCT
ejde-32	83	8	,	,	PUNCT
ejde-32	84	1	hc	hc	X
ejde-32	84	2	=	=	SYM
ejde-32	84	3	1−	1−	NUM
ejde-32	84	4	r	r	NOUN
ejde-32	84	5	r	r	NOUN
ejde-32	85	1	uc	uc	INTJ
ejde-32	85	2	vνc	vνc	NOUN
ejde-32	85	3	,	,	PUNCT
ejde-32	85	4	where	where	SCONJ
ejde-32	85	5	the	the	DET
ejde-32	85	6	two	two	NUM
ejde-32	85	7	curves	curve	NOUN
ejde-32	85	8	in	in	ADP
ejde-32	85	9	(	(	PUNCT
ejde-32	85	10	2.3	2.3	NUM
ejde-32	85	11	)	)	PUNCT
ejde-32	85	12	tangentially	tangentially	ADV
ejde-32	85	13	intersect	intersect	ADJ
ejde-32	85	14	at	at	ADP
ejde-32	85	15	(	(	PUNCT
ejde-32	85	16	uc	uc	PROPN
ejde-32	85	17	,	,	PUNCT
ejde-32	85	18	vc	vc	NOUN
ejde-32	85	19	)	)	PUNCT
ejde-32	85	20	.	.	PUNCT
ejde-32	86	1	for	for	ADP
ejde-32	86	2	example	example	NOUN
ejde-32	86	3	,	,	PUNCT
ejde-32	86	4	when	when	SCONJ
ejde-32	86	5	r	r	NOUN
ejde-32	86	6	=	=	SYM
ejde-32	86	7	1/2	1/2	NUM
ejde-32	86	8	and	and	CCONJ
ejde-32	86	9	ν	ν	X
ejde-32	86	10	=	=	SYM
ejde-32	86	11	2	2	NUM
ejde-32	86	12	,	,	PUNCT
ejde-32	86	13	the	the	DET
ejde-32	86	14	critical	critical	ADJ
ejde-32	86	15	h	h	NOUN
ejde-32	86	16	value	value	NOUN
ejde-32	86	17	should	should	AUX
ejde-32	86	18	be	be	AUX
ejde-32	86	19	hc	hc	PROPN
ejde-32	86	20	=	=	PROPN
ejde-32	86	21	1.6875	1.6875	NUM
ejde-32	86	22	which	which	PRON
ejde-32	86	23	is	be	AUX
ejde-32	86	24	very	very	ADV
ejde-32	86	25	close	close	ADJ
ejde-32	86	26	to	to	ADP
ejde-32	86	27	the	the	DET
ejde-32	86	28	h	h	NOUN
ejde-32	86	29	value	value	NOUN
ejde-32	86	30	in	in	ADP
ejde-32	86	31	figure	figure	NOUN
ejde-32	86	32	4	4	NUM
ejde-32	86	33	.	.	PUNCT
ejde-32	87	1	after	after	SCONJ
ejde-32	87	2	the	the	DET
ejde-32	87	3	two	two	NUM
ejde-32	87	4	extra	extra	ADJ
ejde-32	87	5	fixed	fix	VERB
ejde-32	87	6	points	point	NOUN
ejde-32	87	7	emerge	emerge	VERB
ejde-32	87	8	,	,	PUNCT
ejde-32	87	9	one	one	NUM
ejde-32	87	10	of	of	ADP
ejde-32	87	11	them	they	PRON
ejde-32	87	12	is	be	AUX
ejde-32	87	13	stable	stable	ADJ
ejde-32	87	14	,	,	PUNCT
ejde-32	87	15	while	while	SCONJ
ejde-32	87	16	the	the	DET
ejde-32	87	17	other	other	ADJ
ejde-32	87	18	is	be	AUX
ejde-32	87	19	a	a	DET
ejde-32	87	20	saddle	saddle	NOUN
ejde-32	87	21	as	as	SCONJ
ejde-32	87	22	shown	show	VERB
ejde-32	87	23	in	in	ADP
ejde-32	87	24	figures	figure	NOUN
ejde-32	87	25	4	4	NUM
ejde-32	87	26	and	and	CCONJ
ejde-32	87	27	5	5	NUM
ejde-32	87	28	.	.	X
ejde-32	87	29	increasing	increase	VERB
ejde-32	87	30	h	h	NOUN
ejde-32	87	31	further	far	ADV
ejde-32	87	32	,	,	PUNCT
ejde-32	87	33	the	the	DET
ejde-32	87	34	stable	stable	ADJ
ejde-32	87	35	fixed	fix	VERB
ejde-32	87	36	point	point	NOUN
ejde-32	87	37	approaches	approach	NOUN
ejde-32	87	38	(	(	PUNCT
ejde-32	87	39	1	1	NUM
ejde-32	87	40	,	,	PUNCT
ejde-32	87	41	0	0	NUM
ejde-32	87	42	)	)	PUNCT
ejde-32	87	43	as	as	SCONJ
ejde-32	87	44	shown	show	VERB
ejde-32	87	45	in	in	ADP
ejde-32	87	46	figures	figure	NOUN
ejde-32	87	47	6	6	NUM
ejde-32	87	48	and	and	CCONJ
ejde-32	87	49	7	7	NUM
ejde-32	87	50	,	,	PUNCT
ejde-32	87	51	i.e.	i.e.	X
ejde-32	87	52	extinction	extinction	NOUN
ejde-32	87	53	of	of	ADP
ejde-32	87	54	the	the	DET
ejde-32	87	55	predator	predator	NOUN
ejde-32	87	56	and	and	CCONJ
ejde-32	87	57	the	the	DET
ejde-32	87	58	prey	prey	NOUN
ejde-32	87	59	population	population	NOUN
ejde-32	87	60	reaches	reach	VERB
ejde-32	87	61	its	its	PRON
ejde-32	87	62	capacity	capacity	NOUN
ejde-32	87	63	.	.	PUNCT
ejde-32	88	1	thus	thus	ADV
ejde-32	88	2	when	when	SCONJ
ejde-32	88	3	ν	ν	X
ejde-32	88	4	>	>	X
ejde-32	88	5	1	1	NUM
ejde-32	88	6	,	,	PUNCT
ejde-32	88	7	low	low	ADJ
ejde-32	88	8	carrying	carrying	NOUN
ejde-32	88	9	capacity	capacity	NOUN
ejde-32	88	10	of	of	ADP
ejde-32	88	11	prey	prey	PROPN
ejde-32	88	12	causes	cause	VERB
ejde-32	88	13	extinction	extinction	NOUN
ejde-32	88	14	of	of	ADP
ejde-32	88	15	both	both	DET
ejde-32	88	16	prey	prey	NOUN
ejde-32	88	17	and	and	CCONJ
ejde-32	88	18	predator	predator	NOUN
ejde-32	88	19	.	.	PUNCT
ejde-32	89	1	moderate	moderate	ADJ
ejde-32	89	2	enrichment	enrichment	NOUN
ejde-32	89	3	can	can	AUX
ejde-32	89	4	avoid	avoid	VERB
ejde-32	89	5	extinction	extinction	NOUN
ejde-32	89	6	and	and	CCONJ
ejde-32	89	7	lead	lead	VERB
ejde-32	89	8	to	to	ADP
ejde-32	89	9	stable	stable	ADJ
ejde-32	89	10	prey	prey	NOUN
ejde-32	89	11	and	and	CCONJ
ejde-32	89	12	predator	predator	NOUN
ejde-32	89	13	populations	population	NOUN
ejde-32	89	14	.	.	PUNCT
ejde-32	90	1	extreme	extreme	ADJ
ejde-32	90	2	enrichment	enrichment	NOUN
ejde-32	90	3	can	can	AUX
ejde-32	90	4	lead	lead	VERB
ejde-32	90	5	to	to	ADP
ejde-32	90	6	the	the	DET
ejde-32	90	7	extinction	extinction	NOUN
ejde-32	90	8	of	of	ADP
ejde-32	90	9	the	the	DET
ejde-32	90	10	predator	predator	NOUN
ejde-32	90	11	,	,	PUNCT
ejde-32	90	12	while	while	SCONJ
ejde-32	90	13	the	the	DET
ejde-32	90	14	prey	prey	NOUN
ejde-32	90	15	population	population	NOUN
ejde-32	90	16	reaches	reach	VERB
ejde-32	90	17	its	its	PRON
ejde-32	90	18	capacity	capacity	NOUN
ejde-32	90	19	.	.	PUNCT
ejde-32	91	1	when	when	SCONJ
ejde-32	91	2	0	0	NUM
ejde-32	91	3	<	<	X
ejde-32	91	4	ν	ν	X
ejde-32	91	5	<	<	X
ejde-32	91	6	1	1	NUM
ejde-32	91	7	,	,	PUNCT
ejde-32	91	8	there	there	PRON
ejde-32	91	9	is	be	VERB
ejde-32	91	10	always	always	ADV
ejde-32	91	11	another	another	DET
ejde-32	91	12	fixed	fix	VERB
ejde-32	91	13	point	point	NOUN
ejde-32	91	14	.	.	PUNCT
ejde-32	92	1	for	for	ADP
ejde-32	92	2	example	example	NOUN
ejde-32	92	3	,	,	PUNCT
ejde-32	92	4	in	in	ADP
ejde-32	92	5	the	the	DET
ejde-32	92	6	case	case	NOUN
ejde-32	92	7	ν	ν	X
ejde-32	92	8	=	=	SYM
ejde-32	92	9	1/2	1/2	NUM
ejde-32	92	10	,	,	PUNCT
ejde-32	92	11	the	the	DET
ejde-32	92	12	extra	extra	ADJ
ejde-32	92	13	fixed	fix	VERB
ejde-32	92	14	point	point	NOUN
ejde-32	92	15	is	be	AUX
ejde-32	92	16	given	give	VERB
ejde-32	92	17	by	by	ADP
ejde-32	92	18	u	u	NOUN
ejde-32	92	19	=	=	PUNCT
ejde-32	92	20	[	[	PUNCT
ejde-32	92	21	1	1	NUM
ejde-32	92	22	+	+	SYM
ejde-32	92	23	1	1	NUM
ejde-32	92	24	r	r	NOUN
ejde-32	92	25	(	(	PUNCT
ejde-32	92	26	1−	1−	NUM
ejde-32	92	27	r	r	NOUN
ejde-32	92	28	h	h	NOUN
ejde-32	92	29	)	)	PUNCT
ejde-32	92	30	2]−1	2]−1	NUM
ejde-32	92	31	,	,	PUNCT
ejde-32	92	32	v	v	NOUN
ejde-32	92	33	=	=	SYM
ejde-32	92	34	(	(	PUNCT
ejde-32	92	35	1−	1−	NUM
ejde-32	92	36	r	r	NOUN
ejde-32	92	37	rh	rh	PROPN
ejde-32	92	38	)	)	PUNCT
ejde-32	92	39	2	2	NUM
ejde-32	92	40	[	[	SYM
ejde-32	92	41	1	1	NUM
ejde-32	92	42	+	+	SYM
ejde-32	92	43	1	1	NUM
ejde-32	92	44	r	r	NOUN
ejde-32	92	45	(	(	PUNCT
ejde-32	92	46	1−	1−	NUM
ejde-32	92	47	r	r	NOUN
ejde-32	92	48	h	h	NOUN
ejde-32	92	49	)	)	PUNCT
ejde-32	92	50	2]−2	2]−2	NUM
ejde-32	92	51	.	.	PUNCT
ejde-32	93	1	when	when	SCONJ
ejde-32	93	2	ν	ν	X
ejde-32	93	3	=	=	SYM
ejde-32	93	4	0	0	NUM
ejde-32	93	5	,	,	PUNCT
ejde-32	93	6	there	there	PRON
ejde-32	93	7	is	be	VERB
ejde-32	93	8	another	another	DET
ejde-32	93	9	fixed	fix	VERB
ejde-32	93	10	point	point	NOUN
ejde-32	93	11	when	when	SCONJ
ejde-32	93	12	h	h	NOUN
ejde-32	93	13	<	<	X
ejde-32	93	14	1	1	NUM
ejde-32	93	15	r	r	NOUN
ejde-32	93	16	−	−	NOUN
ejde-32	93	17	1	1	NUM
ejde-32	93	18	as	as	SCONJ
ejde-32	93	19	shown	show	VERB
ejde-32	93	20	in	in	ADP
ejde-32	93	21	[	[	X
ejde-32	93	22	2	2	NUM
ejde-32	93	23	]	]	PUNCT
ejde-32	93	24	.	.	PUNCT
ejde-32	94	1	when	when	SCONJ
ejde-32	94	2	0	0	NUM
ejde-32	94	3	≤	≤	NUM
ejde-32	94	4	ν	ν	ADP
ejde-32	94	5	<	<	X
ejde-32	94	6	1	1	NUM
ejde-32	94	7	,	,	PUNCT
ejde-32	94	8	enrichment	enrichment	NOUN
ejde-32	94	9	corresponds	correspond	VERB
ejde-32	94	10	to	to	ADP
ejde-32	94	11	decreasing	decrease	VERB
ejde-32	94	12	h.	h.	NOUN
ejde-32	94	13	when	when	SCONJ
ejde-32	94	14	the	the	DET
ejde-32	94	15	carrying	carry	VERB
ejde-32	94	16	capacity	capacity	NOUN
ejde-32	94	17	of	of	ADP
ejde-32	94	18	the	the	DET
ejde-32	94	19	prey	prey	NOUN
ejde-32	94	20	is	be	AUX
ejde-32	94	21	not	not	PART
ejde-32	94	22	large	large	ADJ
ejde-32	94	23	enough	enough	ADV
ejde-32	94	24	,	,	PUNCT
ejde-32	94	25	the	the	DET
ejde-32	94	26	extra	extra	ADJ
ejde-32	94	27	fixed	fix	VERB
ejde-32	94	28	point	point	NOUN
ejde-32	94	29	is	be	AUX
ejde-32	94	30	stable	stable	ADJ
ejde-32	94	31	as	as	SCONJ
ejde-32	94	32	shown	show	VERB
ejde-32	94	33	in	in	ADP
ejde-32	94	34	figure	figure	NOUN
ejde-32	94	35	8	8	NUM
ejde-32	94	36	,	,	PUNCT
ejde-32	94	37	there	there	PRON
ejde-32	94	38	is	be	VERB
ejde-32	94	39	no	no	DET
ejde-32	94	40	extinction	extinction	NOUN
ejde-32	94	41	,	,	PUNCT
ejde-32	94	42	and	and	CCONJ
ejde-32	94	43	the	the	DET
ejde-32	94	44	dynamics	dynamic	NOUN
ejde-32	94	45	always	always	ADV
ejde-32	94	46	ends	end	VERB
ejde-32	94	47	up	up	ADP
ejde-32	94	48	at	at	ADP
ejde-32	94	49	stable	stable	ADJ
ejde-32	94	50	prey	prey	NOUN
ejde-32	94	51	and	and	CCONJ
ejde-32	94	52	predator	predator	NOUN
ejde-32	94	53	populations	population	NOUN
ejde-32	94	54	given	give	VERB
ejde-32	94	55	by	by	ADP
ejde-32	94	56	the	the	DET
ejde-32	94	57	stable	stable	ADJ
ejde-32	94	58	fixed	fix	VERB
ejde-32	94	59	point	point	NOUN
ejde-32	94	60	.	.	PUNCT
ejde-32	95	1	enrichment	enrichment	NOUN
ejde-32	95	2	will	will	AUX
ejde-32	95	3	cause	cause	VERB
ejde-32	95	4	the	the	DET
ejde-32	95	5	stable	stable	ADJ
ejde-32	95	6	fixed	fix	VERB
ejde-32	95	7	point	point	NOUN
ejde-32	95	8	to	to	PART
ejde-32	95	9	lose	lose	VERB
ejde-32	95	10	it	it	PRON
ejde-32	95	11	stability	stability	NOUN
ejde-32	95	12	,	,	PUNCT
ejde-32	95	13	and	and	CCONJ
ejde-32	95	14	a	a	DET
ejde-32	95	15	stable	stable	ADJ
ejde-32	95	16	limit	limit	NOUN
ejde-32	95	17	cycle	cycle	NOUN
ejde-32	95	18	will	will	AUX
ejde-32	95	19	emerge	emerge	VERB
ejde-32	95	20	around	around	ADP
ejde-32	95	21	it	it	PRON
ejde-32	95	22	as	as	SCONJ
ejde-32	95	23	shown	show	VERB
ejde-32	95	24	in	in	ADP
ejde-32	95	25	figure	figure	NOUN
ejde-32	95	26	9	9	NUM
ejde-32	95	27	.	.	PUNCT
ejde-32	96	1	further	further	ADJ
ejde-32	96	2	enrichment	enrichment	NOUN
ejde-32	96	3	will	will	AUX
ejde-32	96	4	cause	cause	VERB
ejde-32	96	5	the	the	DET
ejde-32	96	6	limit	limit	NOUN
ejde-32	96	7	cycle	cycle	NOUN
ejde-32	96	8	to	to	PART
ejde-32	96	9	get	get	VERB
ejde-32	96	10	closer	close	ADJ
ejde-32	96	11	and	and	CCONJ
ejde-32	96	12	closer	close	ADJ
ejde-32	96	13	to	to	AUX
ejde-32	96	14	predator	predator	VERB
ejde-32	96	15	and	and	CCONJ
ejde-32	96	16	prey	prey	VERB
ejde-32	96	17	axes	axis	NOUN
ejde-32	96	18	as	as	SCONJ
ejde-32	96	19	shown	show	VERB
ejde-32	96	20	in	in	ADP
ejde-32	96	21	figure	figure	NOUN
ejde-32	96	22	10	10	NUM
ejde-32	96	23	,	,	PUNCT
ejde-32	96	24	and	and	CCONJ
ejde-32	96	25	in	in	ADP
ejde-32	96	26	such	such	DET
ejde-32	96	27	a	a	DET
ejde-32	96	28	situation	situation	NOUN
ejde-32	96	29	,	,	PUNCT
ejde-32	96	30	environmental	environmental	ADJ
ejde-32	96	31	fluctuation	fluctuation	NOUN
ejde-32	96	32	can	can	AUX
ejde-32	96	33	cause	cause	VERB
ejde-32	96	34	extinction	extinction	NOUN
ejde-32	96	35	of	of	ADP
ejde-32	96	36	the	the	DET
ejde-32	96	37	predator	predator	NOUN
ejde-32	96	38	and	and	CCONJ
ejde-32	96	39	the	the	DET
ejde-32	96	40	prey	prey	NOUN
ejde-32	96	41	.	.	PUNCT
ejde-32	97	1	thus	thus	ADV
ejde-32	97	2	,	,	PUNCT
ejde-32	97	3	enrichment	enrichment	NOUN
ejde-32	97	4	always	always	ADV
ejde-32	97	5	leads	lead	VERB
ejde-32	97	6	to	to	ADP
ejde-32	97	7	extinction	extinction	NOUN
ejde-32	97	8	in	in	ADP
ejde-32	97	9	both	both	CCONJ
ejde-32	97	10	the	the	DET
ejde-32	97	11	cases	case	NOUN
ejde-32	97	12	ν	ν	X
ejde-32	97	13	>	>	X
ejde-32	97	14	1	1	NUM
ejde-32	97	15	and	and	CCONJ
ejde-32	97	16	the	the	DET
ejde-32	97	17	cases	case	NOUN
ejde-32	97	18	0	0	NUM
ejde-32	97	19	≤	≤	NUM
ejde-32	97	20	ν	ν	X
ejde-32	97	21	<	<	X
ejde-32	97	22	1	1	NUM
ejde-32	97	23	,	,	PUNCT
ejde-32	97	24	except	except	SCONJ
ejde-32	97	25	the	the	DET
ejde-32	97	26	case	case	NOUN
ejde-32	97	27	ν	ν	X
ejde-32	97	28	=	=	SYM
ejde-32	97	29	1	1	X
ejde-32	97	30	.	.	PUNCT
ejde-32	97	31	when	when	SCONJ
ejde-32	97	32	ν	ν	X
ejde-32	97	33	>	>	X
ejde-32	97	34	1	1	NUM
ejde-32	97	35	,	,	PUNCT
ejde-32	97	36	enrichment	enrichment	NOUN
ejde-32	97	37	reduces	reduce	VERB
ejde-32	97	38	the	the	DET
ejde-32	97	39	predation	predation	NOUN
ejde-32	97	40	intensity	intensity	NOUN
ejde-32	97	41	,	,	PUNCT
ejde-32	97	42	and	and	CCONJ
ejde-32	97	43	leads	lead	VERB
ejde-32	97	44	to	to	ADP
ejde-32	97	45	extinction	extinction	NOUN
ejde-32	97	46	of	of	ADP
ejde-32	97	47	predator	predator	NOUN
ejde-32	97	48	.	.	PUNCT
ejde-32	98	1	when	when	SCONJ
ejde-32	98	2	0	0	NUM
ejde-32	98	3	≤	≤	NUM
ejde-32	98	4	ν	ν	ADP
ejde-32	98	5	<	<	X
ejde-32	98	6	1	1	NUM
ejde-32	98	7	,	,	PUNCT
ejde-32	98	8	enrichment	enrichment	NOUN
ejde-32	98	9	increases	increase	VERB
ejde-32	98	10	the	the	DET
ejde-32	98	11	predation	predation	NOUN
ejde-32	98	12	intensity	intensity	NOUN
ejde-32	98	13	,	,	PUNCT
ejde-32	98	14	and	and	CCONJ
ejde-32	98	15	leads	lead	VERB
ejde-32	98	16	to	to	ADP
ejde-32	98	17	extinction	extinction	NOUN
ejde-32	98	18	of	of	ADP
ejde-32	98	19	prey	prey	NOUN
ejde-32	98	20	together	together	ADV
ejde-32	98	21	with	with	ADP
ejde-32	98	22	predator	predator	NOUN
ejde-32	98	23	.	.	PUNCT
ejde-32	99	1	in	in	ADP
ejde-32	99	2	summary	summary	NOUN
ejde-32	99	3	,	,	PUNCT
ejde-32	99	4	our	our	PRON
ejde-32	99	5	mathematical	mathematical	ADJ
ejde-32	99	6	model	model	NOUN
ejde-32	99	7	here	here	ADV
ejde-32	99	8	almost	almost	ADV
ejde-32	99	9	always	always	ADV
ejde-32	99	10	predicts	predict	VERB
ejde-32	99	11	the	the	DET
ejde-32	99	12	existence	existence	NOUN
ejde-32	99	13	of	of	ADP
ejde-32	99	14	the	the	DET
ejde-32	99	15	enrichment	enrichment	NOUN
ejde-32	99	16	paradox	paradox	NOUN
ejde-32	99	17	.	.	PUNCT
ejde-32	100	1	ejde-2023/17	ejde-2023/17	NOUN
ejde-32	100	2	enrichment	enrichment	NOUN
ejde-32	100	3	paradox	paradox	NOUN
ejde-32	100	4	and	and	CCONJ
ejde-32	100	5	applications	application	NOUN
ejde-32	100	6	5	5	NUM
ejde-32	100	7	figure	figure	NOUN
ejde-32	100	8	1	1	NUM
ejde-32	100	9	.	.	PUNCT
ejde-32	100	10	dynamics	dynamic	NOUN
ejde-32	100	11	of	of	ADP
ejde-32	100	12	(	(	PUNCT
ejde-32	100	13	2.1)-(2.2	2.1)-(2.2	NUM
ejde-32	100	14	)	)	PUNCT
ejde-32	100	15	when	when	SCONJ
ejde-32	100	16	r	r	NOUN
ejde-32	100	17	=	=	SYM
ejde-32	100	18	3/2	3/2	NUM
ejde-32	100	19	,	,	PUNCT
ejde-32	100	20	k	k	NOUN
ejde-32	100	21	=	=	SYM
ejde-32	100	22	1	1	NUM
ejde-32	100	23	,	,	PUNCT
ejde-32	100	24	h	h	NOUN
ejde-32	100	25	=	=	NOUN
ejde-32	100	26	0.1	0.1	NUM
ejde-32	100	27	,	,	PUNCT
ejde-32	100	28	ν	ν	X
ejde-32	100	29	=	=	SYM
ejde-32	100	30	0	0	X
ejde-32	100	31	.	.	PUNCT
ejde-32	100	32	figure	figure	NOUN
ejde-32	100	33	2	2	NUM
ejde-32	100	34	.	.	PUNCT
ejde-32	100	35	dynamics	dynamic	NOUN
ejde-32	100	36	of	of	ADP
ejde-32	100	37	(	(	PUNCT
ejde-32	100	38	2.1)-(2.2	2.1)-(2.2	NUM
ejde-32	100	39	)	)	PUNCT
ejde-32	100	40	when	when	SCONJ
ejde-32	100	41	r	r	NOUN
ejde-32	100	42	=	=	SYM
ejde-32	100	43	1/2	1/2	NUM
ejde-32	100	44	,	,	PUNCT
ejde-32	100	45	k	k	NOUN
ejde-32	100	46	=	=	SYM
ejde-32	100	47	1	1	NUM
ejde-32	100	48	,	,	PUNCT
ejde-32	100	49	h	h	NOUN
ejde-32	101	1	=	=	SYM
ejde-32	101	2	1	1	NUM
ejde-32	101	3	,	,	PUNCT
ejde-32	101	4	ν	ν	X
ejde-32	101	5	=	=	SYM
ejde-32	102	1	2	2	NUM
ejde-32	102	2	.	.	NOUN
ejde-32	102	3	3	3	X
ejde-32	102	4	.	.	NOUN
ejde-32	102	5	model	model	NOUN
ejde-32	102	6	applications	application	NOUN
ejde-32	102	7	it	it	PRON
ejde-32	102	8	is	be	AUX
ejde-32	102	9	very	very	ADV
ejde-32	102	10	difficult	difficult	ADJ
ejde-32	102	11	to	to	PART
ejde-32	102	12	verify	verify	VERB
ejde-32	102	13	any	any	DET
ejde-32	102	14	model	model	NOUN
ejde-32	102	15	in	in	ADP
ejde-32	102	16	real	real	ADJ
ejde-32	102	17	field	field	NOUN
ejde-32	102	18	predator	predator	NOUN
ejde-32	102	19	-	-	PUNCT
ejde-32	102	20	prey	prey	NOUN
ejde-32	102	21	systems	system	NOUN
ejde-32	102	22	not	not	PART
ejde-32	102	23	only	only	ADV
ejde-32	102	24	because	because	SCONJ
ejde-32	102	25	collecting	collect	VERB
ejde-32	102	26	and	and	CCONJ
ejde-32	102	27	testing	test	VERB
ejde-32	102	28	real	real	ADJ
ejde-32	102	29	field	field	NOUN
ejde-32	102	30	data	datum	NOUN
ejde-32	102	31	against	against	ADP
ejde-32	102	32	a	a	DET
ejde-32	102	33	model	model	NOUN
ejde-32	102	34	is	be	AUX
ejde-32	102	35	a	a	DET
ejde-32	102	36	daunting	daunting	ADJ
ejde-32	102	37	job	job	NOUN
ejde-32	102	38	,	,	PUNCT
ejde-32	102	39	but	but	CCONJ
ejde-32	102	40	also	also	ADV
ejde-32	102	41	because	because	SCONJ
ejde-32	102	42	real	real	ADJ
ejde-32	102	43	field	field	NOUN
ejde-32	102	44	predator	predator	NOUN
ejde-32	102	45	-	-	PUNCT
ejde-32	102	46	prey	prey	NOUN
ejde-32	102	47	systems	system	NOUN
ejde-32	102	48	are	be	AUX
ejde-32	102	49	rarely	rarely	ADV
ejde-32	102	50	binary	binary	ADJ
ejde-32	102	51	(	(	PUNCT
ejde-32	102	52	i.e.	i.e.	X
ejde-32	102	53	isolated	isolated	ADJ
ejde-32	102	54	systems	system	NOUN
ejde-32	102	55	of	of	ADP
ejde-32	102	56	a	a	DET
ejde-32	102	57	predator	predator	NOUN
ejde-32	102	58	population	population	NOUN
ejde-32	102	59	and	and	CCONJ
ejde-32	102	60	a	a	DET
ejde-32	102	61	prey	prey	NOUN
ejde-32	102	62	population	population	NOUN
ejde-32	102	63	)	)	PUNCT
ejde-32	102	64	,	,	PUNCT
ejde-32	102	65	rather	rather	ADV
ejde-32	102	66	consisting	consist	VERB
ejde-32	102	67	of	of	ADP
ejde-32	102	68	many	many	ADJ
ejde-32	102	69	populations	population	NOUN
ejde-32	102	70	forming	form	VERB
ejde-32	102	71	a	a	DET
ejde-32	102	72	food	food	NOUN
ejde-32	102	73	chain	chain	NOUN
ejde-32	102	74	or	or	CCONJ
ejde-32	102	75	even	even	ADV
ejde-32	102	76	a	a	DET
ejde-32	102	77	food	food	NOUN
ejde-32	102	78	web	web	NOUN
ejde-32	102	79	.	.	PUNCT
ejde-32	103	1	here	here	ADV
ejde-32	103	2	we	we	PRON
ejde-32	103	3	attempt	attempt	VERB
ejde-32	103	4	rather	rather	ADV
ejde-32	103	5	qualitative	qualitative	ADJ
ejde-32	103	6	applications	application	NOUN
ejde-32	103	7	of	of	ADP
ejde-32	103	8	the	the	DET
ejde-32	103	9	model	model	NOUN
ejde-32	103	10	.	.	PUNCT
ejde-32	104	1	3.1	3.1	NUM
ejde-32	104	2	.	.	PUNCT
ejde-32	104	3	model	model	NOUN
ejde-32	104	4	application	application	NOUN
ejde-32	104	5	to	to	ADP
ejde-32	104	6	human	human	ADJ
ejde-32	104	7	-	-	PUNCT
ejde-32	104	8	food	food	NOUN
ejde-32	104	9	dynamics	dynamic	NOUN
ejde-32	104	10	.	.	PUNCT
ejde-32	105	1	in	in	ADP
ejde-32	105	2	human	human	ADJ
ejde-32	105	3	history	history	NOUN
ejde-32	105	4	,	,	PUNCT
ejde-32	105	5	technological	technological	ADJ
ejde-32	105	6	advances	advance	NOUN
ejde-32	105	7	are	be	AUX
ejde-32	105	8	the	the	DET
ejde-32	105	9	main	main	ADJ
ejde-32	105	10	factors	factor	NOUN
ejde-32	105	11	for	for	ADP
ejde-32	105	12	human	human	ADJ
ejde-32	105	13	population	population	NOUN
ejde-32	105	14	increase	increase	NOUN
ejde-32	105	15	,	,	PUNCT
ejde-32	105	16	such	such	ADJ
ejde-32	105	17	as	as	ADP
ejde-32	105	18	tool	tool	NOUN
ejde-32	105	19	-	-	PUNCT
ejde-32	105	20	making	make	VERB
ejde-32	105	21	revolution	revolution	NOUN
ejde-32	105	22	,	,	PUNCT
ejde-32	105	23	agricultural	agricultural	ADJ
ejde-32	105	24	revolution	revolution	NOUN
ejde-32	105	25	and	and	CCONJ
ejde-32	105	26	industrial	industrial	ADJ
ejde-32	105	27	revolution	revolution	NOUN
ejde-32	105	28	.	.	PUNCT
ejde-32	106	1	technological	technological	ADJ
ejde-32	106	2	advances	advance	NOUN
ejde-32	106	3	provide	provide	VERB
ejde-32	106	4	human	human	NOUN
ejde-32	106	5	with	with	ADP
ejde-32	106	6	more	more	ADJ
ejde-32	106	7	food	food	NOUN
ejde-32	106	8	supply	supply	NOUN
ejde-32	106	9	and	and	CCONJ
ejde-32	106	10	medicine	medicine	NOUN
ejde-32	106	11	.	.	PUNCT
ejde-32	107	1	diseases	disease	NOUN
ejde-32	107	2	6	6	NUM
ejde-32	107	3	z.	z.	PROPN
ejde-32	107	4	c.	c.	PROPN
ejde-32	107	5	feng	feng	PROPN
ejde-32	107	6	,	,	PUNCT
ejde-32	107	7	y.	y.	PROPN
ejde-32	107	8	charles	charles	PROPN
ejde-32	107	9	li	li	PROPN
ejde-32	107	10	ejde-2023/17	ejde-2023/17	PROPN
ejde-32	107	11	figure	figure	NOUN
ejde-32	107	12	3	3	NUM
ejde-32	107	13	.	.	PUNCT
ejde-32	107	14	dynamics	dynamic	NOUN
ejde-32	107	15	of	of	ADP
ejde-32	107	16	(	(	PUNCT
ejde-32	107	17	2.1)-(2.2	2.1)-(2.2	NUM
ejde-32	107	18	)	)	PUNCT
ejde-32	107	19	when	when	SCONJ
ejde-32	107	20	r	r	NOUN
ejde-32	107	21	=	=	SYM
ejde-32	107	22	1/2	1/2	NUM
ejde-32	107	23	,	,	PUNCT
ejde-32	107	24	k	k	NOUN
ejde-32	107	25	=	=	SYM
ejde-32	107	26	1	1	NUM
ejde-32	107	27	,	,	PUNCT
ejde-32	107	28	h	h	NOUN
ejde-32	107	29	=	=	SYM
ejde-32	107	30	1.6	1.6	NUM
ejde-32	107	31	,	,	PUNCT
ejde-32	107	32	ν	ν	X
ejde-32	107	33	=	=	SYM
ejde-32	107	34	2	2	X
ejde-32	107	35	.	.	X
ejde-32	107	36	figure	figure	NOUN
ejde-32	107	37	4	4	NUM
ejde-32	107	38	.	.	PUNCT
ejde-32	107	39	dynamics	dynamic	NOUN
ejde-32	107	40	of	of	ADP
ejde-32	107	41	(	(	PUNCT
ejde-32	107	42	2.1)-(2.2	2.1)-(2.2	NUM
ejde-32	107	43	)	)	PUNCT
ejde-32	107	44	when	when	SCONJ
ejde-32	107	45	r	r	NOUN
ejde-32	107	46	=	=	SYM
ejde-32	107	47	1/2	1/2	NUM
ejde-32	107	48	,	,	PUNCT
ejde-32	107	49	k	k	NOUN
ejde-32	107	50	=	=	SYM
ejde-32	107	51	1	1	NUM
ejde-32	107	52	,	,	PUNCT
ejde-32	107	53	h	h	NOUN
ejde-32	108	1	=	=	NOUN
ejde-32	108	2	1.69	1.69	NUM
ejde-32	108	3	,	,	PUNCT
ejde-32	108	4	ν	ν	X
ejde-32	108	5	=	=	SYM
ejde-32	108	6	2	2	NUM
ejde-32	108	7	.	.	NOUN
ejde-32	108	8	such	such	ADJ
ejde-32	108	9	as	as	ADP
ejde-32	108	10	plagues	plague	NOUN
ejde-32	108	11	also	also	ADV
ejde-32	108	12	caused	cause	VERB
ejde-32	108	13	human	human	ADJ
ejde-32	108	14	population	population	NOUN
ejde-32	108	15	to	to	PART
ejde-32	108	16	temporarily	temporarily	ADV
ejde-32	108	17	decrease	decrease	VERB
ejde-32	108	18	.	.	PUNCT
ejde-32	109	1	but	but	CCONJ
ejde-32	109	2	since	since	SCONJ
ejde-32	109	3	1700	1700	NUM
ejde-32	109	4	,	,	PUNCT
ejde-32	109	5	human	human	ADJ
ejde-32	109	6	population	population	NOUN
ejde-32	109	7	has	have	AUX
ejde-32	109	8	been	be	AUX
ejde-32	109	9	monotonically	monotonically	ADV
ejde-32	109	10	increasing	increase	VERB
ejde-32	109	11	due	due	ADJ
ejde-32	109	12	to	to	ADP
ejde-32	109	13	technological	technological	ADJ
ejde-32	109	14	advances	advance	NOUN
ejde-32	109	15	.	.	PUNCT
ejde-32	110	1	since	since	SCONJ
ejde-32	110	2	1960s	1960s	NUM
ejde-32	110	3	,	,	PUNCT
ejde-32	110	4	due	due	ADP
ejde-32	110	5	to	to	ADP
ejde-32	110	6	the	the	DET
ejde-32	110	7	introduction	introduction	NOUN
ejde-32	110	8	of	of	ADP
ejde-32	110	9	high	high	ADJ
ejde-32	110	10	yield	yield	NOUN
ejde-32	110	11	grains	grain	NOUN
ejde-32	110	12	,	,	PUNCT
ejde-32	110	13	agricultural	agricultural	ADJ
ejde-32	110	14	machineries	machinery	NOUN
ejde-32	110	15	,	,	PUNCT
ejde-32	110	16	fertilizers	fertilizer	NOUN
ejde-32	110	17	,	,	PUNCT
ejde-32	110	18	chemical	chemical	NOUN
ejde-32	110	19	pesticides	pesticide	NOUN
ejde-32	110	20	,	,	PUNCT
ejde-32	110	21	and	and	CCONJ
ejde-32	110	22	better	well	ADJ
ejde-32	110	23	irrigation	irrigation	NOUN
ejde-32	110	24	systems	system	NOUN
ejde-32	110	25	,	,	PUNCT
ejde-32	110	26	human	human	ADJ
ejde-32	110	27	population	population	NOUN
ejde-32	110	28	has	have	AUX
ejde-32	110	29	been	be	AUX
ejde-32	110	30	increasing	increase	VERB
ejde-32	110	31	by	by	ADP
ejde-32	110	32	1	1	NUM
ejde-32	110	33	billion	billion	NUM
ejde-32	110	34	every	every	DET
ejde-32	110	35	12	12	NUM
ejde-32	110	36	years	year	NOUN
ejde-32	110	37	,	,	PUNCT
ejde-32	110	38	from	from	ADP
ejde-32	110	39	3	3	NUM
ejde-32	110	40	billion	billion	NUM
ejde-32	110	41	to	to	PART
ejde-32	110	42	8	8	NUM
ejde-32	110	43	billion	billion	NUM
ejde-32	110	44	by	by	ADP
ejde-32	110	45	2023	2023	NUM
ejde-32	110	46	.	.	PUNCT
ejde-32	111	1	thus	thus	ADV
ejde-32	111	2	enrichment	enrichment	NOUN
ejde-32	111	3	of	of	ADP
ejde-32	111	4	food	food	NOUN
ejde-32	111	5	has	have	AUX
ejde-32	111	6	increased	increase	VERB
ejde-32	111	7	human	human	ADJ
ejde-32	111	8	population	population	NOUN
ejde-32	111	9	dramatically	dramatically	ADV
ejde-32	111	10	.	.	PUNCT
ejde-32	112	1	it	it	PRON
ejde-32	112	2	seems	seem	VERB
ejde-32	112	3	that	that	SCONJ
ejde-32	112	4	both	both	CCONJ
ejde-32	112	5	the	the	DET
ejde-32	112	6	cornucopian	cornucopian	NOUN
ejde-32	112	7	and	and	CCONJ
ejde-32	112	8	the	the	DET
ejde-32	112	9	malthusian	malthusian	ADJ
ejde-32	112	10	views	view	NOUN
ejde-32	112	11	were	be	AUX
ejde-32	112	12	realized	realize	VERB
ejde-32	112	13	[	[	X
ejde-32	112	14	4	4	NUM
ejde-32	112	15	,	,	PUNCT
ejde-32	112	16	6	6	NUM
ejde-32	112	17	]	]	PUNCT
ejde-32	112	18	.	.	PUNCT
ejde-32	113	1	human	human	PROPN
ejde-32	113	2	indeed	indeed	ADV
ejde-32	113	3	dramatically	dramatically	ADV
ejde-32	113	4	advanced	advance	VERB
ejde-32	113	5	technology	technology	NOUN
ejde-32	113	6	to	to	PART
ejde-32	113	7	provide	provide	VERB
ejde-32	113	8	abundant	abundant	ADJ
ejde-32	113	9	food	food	NOUN
ejde-32	113	10	supply	supply	NOUN
ejde-32	113	11	to	to	PART
ejde-32	113	12	meet	meet	VERB
ejde-32	113	13	the	the	DET
ejde-32	113	14	demand	demand	NOUN
ejde-32	113	15	of	of	ADP
ejde-32	113	16	population	population	NOUN
ejde-32	113	17	growth	growth	NOUN
ejde-32	113	18	according	accord	VERB
ejde-32	113	19	to	to	ADP
ejde-32	113	20	cornucopian	cornucopian	ADJ
ejde-32	113	21	view	view	NOUN
ejde-32	113	22	.	.	PUNCT
ejde-32	114	1	human	human	ADJ
ejde-32	114	2	population	population	NOUN
ejde-32	114	3	also	also	ADV
ejde-32	114	4	dramatically	dramatically	ADV
ejde-32	114	5	increased	increase	VERB
ejde-32	114	6	with	with	ADP
ejde-32	114	7	the	the	DET
ejde-32	114	8	abundant	abundant	ADJ
ejde-32	114	9	food	food	NOUN
ejde-32	114	10	supply	supply	NOUN
ejde-32	114	11	according	accord	VERB
ejde-32	114	12	to	to	ADP
ejde-32	114	13	malthusian	malthusian	ADJ
ejde-32	114	14	view	view	NOUN
ejde-32	114	15	.	.	PUNCT
ejde-32	115	1	the	the	DET
ejde-32	115	2	question	question	NOUN
ejde-32	115	3	is	be	AUX
ejde-32	115	4	whether	whether	SCONJ
ejde-32	115	5	or	or	CCONJ
ejde-32	115	6	not	not	PART
ejde-32	115	7	we	we	PRON
ejde-32	115	8	are	be	AUX
ejde-32	115	9	heading	head	VERB
ejde-32	115	10	to	to	ADP
ejde-32	115	11	a	a	DET
ejde-32	115	12	new	new	ADJ
ejde-32	115	13	malthusian	malthusian	ADJ
ejde-32	115	14	catastrophe	catastrophe	NOUN
ejde-32	115	15	,	,	PUNCT
ejde-32	115	16	i.e.	i.e.	X
ejde-32	115	17	some	some	DET
ejde-32	115	18	people	people	NOUN
ejde-32	115	19	are	be	AUX
ejde-32	115	20	going	go	VERB
ejde-32	115	21	to	to	PART
ejde-32	115	22	starve	starve	VERB
ejde-32	115	23	.	.	PUNCT
ejde-32	116	1	technologies	technology	NOUN
ejde-32	116	2	may	may	AUX
ejde-32	116	3	ejde-2023/17	ejde-2023/17	NOUN
ejde-32	116	4	enrichment	enrichment	NOUN
ejde-32	116	5	paradox	paradox	NOUN
ejde-32	116	6	and	and	CCONJ
ejde-32	116	7	applications	application	NOUN
ejde-32	116	8	7	7	NUM
ejde-32	116	9	figure	figure	NOUN
ejde-32	116	10	5	5	NUM
ejde-32	116	11	.	.	PUNCT
ejde-32	116	12	dynamics	dynamic	NOUN
ejde-32	116	13	of	of	ADP
ejde-32	116	14	(	(	PUNCT
ejde-32	116	15	2.1)-(2.2	2.1)-(2.2	NUM
ejde-32	116	16	)	)	PUNCT
ejde-32	116	17	when	when	SCONJ
ejde-32	116	18	r	r	NOUN
ejde-32	116	19	=	=	SYM
ejde-32	116	20	1/2	1/2	NUM
ejde-32	116	21	,	,	PUNCT
ejde-32	116	22	k	k	NOUN
ejde-32	116	23	=	=	SYM
ejde-32	116	24	1	1	NUM
ejde-32	116	25	,	,	PUNCT
ejde-32	116	26	h	h	NOUN
ejde-32	116	27	=	=	SYM
ejde-32	116	28	3	3	NUM
ejde-32	116	29	,	,	PUNCT
ejde-32	116	30	ν	ν	X
ejde-32	116	31	=	=	SYM
ejde-32	116	32	2	2	X
ejde-32	116	33	.	.	X
ejde-32	116	34	figure	figure	NOUN
ejde-32	116	35	6	6	NUM
ejde-32	116	36	.	.	PUNCT
ejde-32	117	1	dynamics	dynamic	NOUN
ejde-32	117	2	of	of	ADP
ejde-32	117	3	(	(	PUNCT
ejde-32	117	4	2.1)-(2.2	2.1)-(2.2	NUM
ejde-32	117	5	)	)	PUNCT
ejde-32	117	6	when	when	SCONJ
ejde-32	117	7	r	r	NOUN
ejde-32	117	8	=	=	SYM
ejde-32	117	9	1/2	1/2	NUM
ejde-32	117	10	,	,	PUNCT
ejde-32	117	11	k	k	NOUN
ejde-32	117	12	=	=	SYM
ejde-32	117	13	1	1	NUM
ejde-32	117	14	,	,	PUNCT
ejde-32	117	15	h	h	NOUN
ejde-32	117	16	=	=	SYM
ejde-32	117	17	5	5	NUM
ejde-32	117	18	,	,	PUNCT
ejde-32	117	19	ν	ν	X
ejde-32	117	20	=	=	SYM
ejde-32	117	21	2	2	X
ejde-32	117	22	.	.	PUNCT
ejde-32	117	23	be	be	AUX
ejde-32	117	24	advanced	advance	VERB
ejde-32	117	25	further	far	ADV
ejde-32	117	26	to	to	PART
ejde-32	117	27	support	support	VERB
ejde-32	117	28	more	more	ADJ
ejde-32	117	29	humans	human	NOUN
ejde-32	117	30	.	.	PUNCT
ejde-32	118	1	but	but	CCONJ
ejde-32	118	2	the	the	DET
ejde-32	118	3	earth	earth	NOUN
ejde-32	118	4	resources	resource	NOUN
ejde-32	118	5	are	be	AUX
ejde-32	118	6	limited	limit	VERB
ejde-32	118	7	,	,	PUNCT
ejde-32	118	8	and	and	CCONJ
ejde-32	118	9	the	the	DET
ejde-32	118	10	human	human	ADJ
ejde-32	118	11	population	population	NOUN
ejde-32	118	12	can	can	AUX
ejde-32	118	13	not	not	PART
ejde-32	118	14	increase	increase	VERB
ejde-32	118	15	unlimited	unlimited	ADJ
ejde-32	118	16	on	on	ADP
ejde-32	118	17	earth	earth	NOUN
ejde-32	118	18	.	.	PUNCT
ejde-32	119	1	is	be	AUX
ejde-32	119	2	the	the	DET
ejde-32	119	3	human	human	ADJ
ejde-32	119	4	population	population	NOUN
ejde-32	119	5	following	follow	VERB
ejde-32	119	6	a	a	DET
ejde-32	119	7	path	path	NOUN
ejde-32	119	8	to	to	ADP
ejde-32	119	9	a	a	DET
ejde-32	119	10	stable	stable	ADJ
ejde-32	119	11	steady	steady	ADJ
ejde-32	119	12	state	state	NOUN
ejde-32	119	13	as	as	ADP
ejde-32	119	14	in	in	ADP
ejde-32	119	15	figure	figure	NOUN
ejde-32	119	16	5	5	NUM
ejde-32	119	17	?	?	PUNCT
ejde-32	119	18	or	or	CCONJ
ejde-32	119	19	to	to	ADP
ejde-32	119	20	a	a	DET
ejde-32	119	21	disaster	disaster	NOUN
ejde-32	119	22	as	as	ADP
ejde-32	119	23	in	in	ADP
ejde-32	119	24	figure	figure	NOUN
ejde-32	119	25	2	2	NUM
ejde-32	119	26	?	?	PUNCT
ejde-32	119	27	or	or	CCONJ
ejde-32	119	28	a	a	DET
ejde-32	119	29	less	less	ADV
ejde-32	119	30	severe	severe	ADJ
ejde-32	119	31	disaster	disaster	NOUN
ejde-32	119	32	as	as	ADP
ejde-32	119	33	in	in	ADP
ejde-32	119	34	figure	figure	NOUN
ejde-32	119	35	9	9	NUM
ejde-32	119	36	?	?	PUNCT
ejde-32	120	1	human	human	ADJ
ejde-32	120	2	overpopulation	overpopulation	NOUN
ejde-32	120	3	not	not	PART
ejde-32	120	4	only	only	ADV
ejde-32	120	5	can	can	AUX
ejde-32	120	6	cause	cause	VERB
ejde-32	120	7	huge	huge	ADJ
ejde-32	120	8	damage	damage	NOUN
ejde-32	120	9	to	to	ADP
ejde-32	120	10	earth	earth	NOUN
ejde-32	120	11	resource	resource	NOUN
ejde-32	120	12	and	and	CCONJ
ejde-32	120	13	environment	environment	NOUN
ejde-32	120	14	,	,	PUNCT
ejde-32	120	15	but	but	CCONJ
ejde-32	120	16	also	also	ADV
ejde-32	120	17	has	have	VERB
ejde-32	120	18	serious	serious	ADJ
ejde-32	120	19	sustainability	sustainability	NOUN
ejde-32	120	20	consequence	consequence	NOUN
ejde-32	120	21	.	.	PUNCT
ejde-32	121	1	if	if	SCONJ
ejde-32	121	2	there	there	PRON
ejde-32	121	3	is	be	VERB
ejde-32	121	4	a	a	DET
ejde-32	121	5	global	global	ADJ
ejde-32	121	6	food	food	NOUN
ejde-32	121	7	scarcity	scarcity	NOUN
ejde-32	121	8	,	,	PUNCT
ejde-32	121	9	huge	huge	ADJ
ejde-32	121	10	famine	famine	NOUN
ejde-32	121	11	can	can	AUX
ejde-32	121	12	cause	cause	VERB
ejde-32	121	13	major	major	ADJ
ejde-32	121	14	population	population	NOUN
ejde-32	121	15	loss	loss	NOUN
ejde-32	121	16	.	.	PUNCT
ejde-32	122	1	according	accord	VERB
ejde-32	122	2	to	to	ADP
ejde-32	122	3	world	world	NOUN
ejde-32	122	4	wide	wide	ADJ
ejde-32	122	5	fund	fund	NOUN
ejde-32	122	6	for	for	ADP
ejde-32	122	7	nature	nature	NOUN
ejde-32	122	8	[	[	X
ejde-32	122	9	7	7	NUM
ejde-32	122	10	]	]	PUNCT
ejde-32	122	11	,	,	PUNCT
ejde-32	122	12	the	the	DET
ejde-32	122	13	current	current	ADJ
ejde-32	122	14	human	human	ADJ
ejde-32	122	15	population	population	NOUN
ejde-32	122	16	is	be	AUX
ejde-32	122	17	already	already	ADV
ejde-32	122	18	exceeding	exceed	VERB
ejde-32	122	19	its	its	PRON
ejde-32	122	20	earth	earth	NOUN
ejde-32	122	21	carrying	carry	VERB
ejde-32	122	22	capacity	capacity	NOUN
ejde-32	122	23	.	.	PUNCT
ejde-32	123	1	on	on	ADP
ejde-32	123	2	the	the	DET
ejde-32	123	3	other	other	ADJ
ejde-32	123	4	hand	hand	NOUN
ejde-32	123	5	,	,	PUNCT
ejde-32	123	6	estimating	estimate	VERB
ejde-32	123	7	earth	earth	NOUN
ejde-32	123	8	’s	’s	ADV
ejde-32	123	9	carrying	carry	VERB
ejde-32	123	10	capacity	capacity	NOUN
ejde-32	123	11	for	for	ADP
ejde-32	123	12	human	human	NOUN
ejde-32	123	13	is	be	AUX
ejde-32	123	14	more	more	ADV
ejde-32	123	15	difficult	difficult	ADJ
ejde-32	123	16	than	than	ADP
ejde-32	123	17	for	for	ADP
ejde-32	123	18	other	other	ADJ
ejde-32	123	19	animals	animal	NOUN
ejde-32	123	20	due	due	ADP
ejde-32	123	21	to	to	ADP
ejde-32	123	22	the	the	DET
ejde-32	123	23	fact	fact	NOUN
ejde-32	123	24	that	that	SCONJ
ejde-32	123	25	human	human	ADJ
ejde-32	123	26	choices	choice	NOUN
ejde-32	123	27	may	may	AUX
ejde-32	123	28	play	play	VERB
ejde-32	123	29	an	an	DET
ejde-32	123	30	important	important	ADJ
ejde-32	123	31	role	role	NOUN
ejde-32	123	32	[	[	X
ejde-32	123	33	1	1	NUM
ejde-32	123	34	]	]	PUNCT
ejde-32	123	35	.	.	PUNCT
ejde-32	124	1	in	in	ADP
ejde-32	124	2	the	the	DET
ejde-32	124	3	long	long	ADJ
ejde-32	124	4	run	run	NOUN
ejde-32	124	5	,	,	PUNCT
ejde-32	124	6	human	human	ADJ
ejde-32	124	7	population	population	NOUN
ejde-32	124	8	can	can	AUX
ejde-32	124	9	not	not	PART
ejde-32	124	10	continue	continue	VERB
ejde-32	124	11	to	to	PART
ejde-32	124	12	grow	grow	VERB
ejde-32	124	13	.	.	PUNCT
ejde-32	125	1	there	there	PRON
ejde-32	125	2	are	be	VERB
ejde-32	125	3	clear	clear	ADJ
ejde-32	125	4	human	human	ADJ
ejde-32	125	5	resource	resource	NOUN
ejde-32	125	6	limits	limit	NOUN
ejde-32	125	7	of	of	ADP
ejde-32	125	8	food	food	NOUN
ejde-32	125	9	,	,	PUNCT
ejde-32	125	10	energy	energy	NOUN
ejde-32	125	11	and	and	CCONJ
ejde-32	125	12	territory	territory	NOUN
ejde-32	125	13	(	(	PUNCT
ejde-32	125	14	individual	individual	ADJ
ejde-32	125	15	human	human	ADJ
ejde-32	125	16	space	space	NOUN
ejde-32	125	17	)	)	PUNCT
ejde-32	125	18	as	as	SCONJ
ejde-32	125	19	discussed	discuss	VERB
ejde-32	125	20	by	by	ADP
ejde-32	125	21	von	von	PROPN
ejde-32	125	22	hoerner	hoerner	NOUN
ejde-32	125	23	[	[	X
ejde-32	125	24	3	3	NUM
ejde-32	125	25	]	]	PUNCT
ejde-32	125	26	.	.	PUNCT
ejde-32	126	1	the	the	DET
ejde-32	126	2	key	key	ADJ
ejde-32	126	3	moment	moment	NOUN
ejde-32	126	4	is	be	AUX
ejde-32	126	5	when	when	SCONJ
ejde-32	126	6	human	human	ADJ
ejde-32	126	7	population	population	NOUN
ejde-32	126	8	reaches	reach	VERB
ejde-32	126	9	8	8	NUM
ejde-32	126	10	z.	z.	PROPN
ejde-32	126	11	c.	c.	PROPN
ejde-32	126	12	feng	feng	PROPN
ejde-32	126	13	,	,	PUNCT
ejde-32	126	14	y.	y.	PROPN
ejde-32	126	15	charles	charles	PROPN
ejde-32	126	16	li	li	PROPN
ejde-32	126	17	ejde-2023/17	ejde-2023/17	PROPN
ejde-32	126	18	figure	figure	NOUN
ejde-32	126	19	7	7	NUM
ejde-32	126	20	.	.	PUNCT
ejde-32	126	21	dynamics	dynamic	NOUN
ejde-32	126	22	of	of	ADP
ejde-32	126	23	(	(	PUNCT
ejde-32	126	24	2.1)-(2.2	2.1)-(2.2	NUM
ejde-32	126	25	)	)	PUNCT
ejde-32	126	26	when	when	SCONJ
ejde-32	126	27	r	r	NOUN
ejde-32	126	28	=	=	SYM
ejde-32	126	29	1/2	1/2	NUM
ejde-32	126	30	,	,	PUNCT
ejde-32	126	31	k	k	NOUN
ejde-32	126	32	=	=	SYM
ejde-32	126	33	1	1	NUM
ejde-32	126	34	,	,	PUNCT
ejde-32	126	35	h	h	NOUN
ejde-32	126	36	=	=	NOUN
ejde-32	126	37	100	100	NUM
ejde-32	126	38	,	,	PUNCT
ejde-32	126	39	ν	ν	X
ejde-32	126	40	=	=	SYM
ejde-32	126	41	2	2	X
ejde-32	126	42	.	.	X
ejde-32	126	43	figure	figure	NOUN
ejde-32	126	44	8	8	NUM
ejde-32	126	45	.	.	PUNCT
ejde-32	127	1	dynamics	dynamic	NOUN
ejde-32	127	2	of	of	ADP
ejde-32	127	3	(	(	PUNCT
ejde-32	127	4	2.1)-(2.2	2.1)-(2.2	NUM
ejde-32	127	5	)	)	PUNCT
ejde-32	127	6	when	when	SCONJ
ejde-32	127	7	r	r	NOUN
ejde-32	127	8	=	=	SYM
ejde-32	127	9	1/2	1/2	NUM
ejde-32	127	10	,	,	PUNCT
ejde-32	127	11	k	k	NOUN
ejde-32	127	12	=	=	SYM
ejde-32	127	13	1	1	NUM
ejde-32	127	14	,	,	PUNCT
ejde-32	127	15	h	h	NOUN
ejde-32	127	16	=	=	NUM
ejde-32	127	17	0.5	0.5	NUM
ejde-32	127	18	,	,	PUNCT
ejde-32	127	19	ν	ν	X
ejde-32	127	20	=	=	SYM
ejde-32	127	21	1/2	1/2	NUM
ejde-32	127	22	.	.	PUNCT
ejde-32	128	1	its	its	PRON
ejde-32	128	2	maximum	maximum	NOUN
ejde-32	128	3	.	.	PUNCT
ejde-32	129	1	the	the	DET
ejde-32	129	2	crucial	crucial	ADJ
ejde-32	129	3	question	question	NOUN
ejde-32	129	4	is	be	AUX
ejde-32	129	5	:	:	PUNCT
ejde-32	129	6	how	how	SCONJ
ejde-32	129	7	will	will	AUX
ejde-32	129	8	the	the	DET
ejde-32	129	9	human	human	ADJ
ejde-32	129	10	population	population	NOUN
ejde-32	129	11	change	change	VERB
ejde-32	129	12	afterward	afterward	ADV
ejde-32	129	13	?	?	PUNCT
ejde-32	130	1	will	will	AUX
ejde-32	130	2	human	human	ADJ
ejde-32	130	3	population	population	NOUN
ejde-32	130	4	more	more	ADV
ejde-32	130	5	or	or	CCONJ
ejde-32	130	6	less	less	ADJ
ejde-32	130	7	stay	stay	VERB
ejde-32	130	8	at	at	ADP
ejde-32	130	9	a	a	DET
ejde-32	130	10	stagnation	stagnation	NOUN
ejde-32	130	11	population	population	NOUN
ejde-32	130	12	or	or	CCONJ
ejde-32	130	13	decrease	decrease	VERB
ejde-32	130	14	substantially	substantially	ADV
ejde-32	130	15	?	?	PUNCT
ejde-32	131	1	if	if	SCONJ
ejde-32	131	2	human	human	ADJ
ejde-32	131	3	population	population	NOUN
ejde-32	131	4	decreases	decrease	VERB
ejde-32	131	5	,	,	PUNCT
ejde-32	131	6	is	be	AUX
ejde-32	131	7	the	the	DET
ejde-32	131	8	decrease	decrease	NOUN
ejde-32	131	9	due	due	ADP
ejde-32	131	10	to	to	ADP
ejde-32	131	11	birth	birth	NOUN
ejde-32	131	12	control	control	NOUN
ejde-32	131	13	,	,	PUNCT
ejde-32	131	14	normal	normal	ADJ
ejde-32	131	15	death	death	NOUN
ejde-32	131	16	or	or	CCONJ
ejde-32	131	17	abnormal	abnormal	ADJ
ejde-32	131	18	death	death	NOUN
ejde-32	131	19	?	?	PUNCT
ejde-32	132	1	birth	birth	NOUN
ejde-32	132	2	control	control	NOUN
ejde-32	132	3	and	and	CCONJ
ejde-32	132	4	normal	normal	ADJ
ejde-32	132	5	death	death	NOUN
ejde-32	132	6	are	be	AUX
ejde-32	132	7	hopeful	hopeful	ADJ
ejde-32	132	8	for	for	ADP
ejde-32	132	9	reducing	reduce	VERB
ejde-32	132	10	human	human	ADJ
ejde-32	132	11	population	population	NOUN
ejde-32	132	12	from	from	ADP
ejde-32	132	13	the	the	DET
ejde-32	132	14	example	example	NOUN
ejde-32	132	15	of	of	ADP
ejde-32	132	16	china	china	PROPN
ejde-32	132	17	.	.	PUNCT
ejde-32	133	1	abnormal	abnormal	ADJ
ejde-32	133	2	death	death	NOUN
ejde-32	133	3	corresponds	correspond	VERB
ejde-32	133	4	to	to	ADP
ejde-32	133	5	various	various	ADJ
ejde-32	133	6	kinds	kind	NOUN
ejde-32	133	7	of	of	ADP
ejde-32	133	8	disasters	disaster	NOUN
ejde-32	133	9	such	such	ADJ
ejde-32	133	10	as	as	ADP
ejde-32	133	11	diseases	disease	NOUN
ejde-32	133	12	,	,	PUNCT
ejde-32	133	13	wars	war	NOUN
ejde-32	133	14	etc	etc	X
ejde-32	133	15	..	..	X
ejde-32	133	16	von	von	PROPN
ejde-32	133	17	hoerner	hoerner	NOUN
ejde-32	133	18	also	also	ADV
ejde-32	133	19	proposed	propose	VERB
ejde-32	133	20	the	the	DET
ejde-32	133	21	possibility	possibility	NOUN
ejde-32	133	22	of	of	ADP
ejde-32	133	23	moving	move	VERB
ejde-32	133	24	humans	human	NOUN
ejde-32	133	25	out	out	ADP
ejde-32	133	26	of	of	ADP
ejde-32	133	27	earth	earth	NOUN
ejde-32	133	28	,	,	PUNCT
ejde-32	133	29	i.e.	i.e.	X
ejde-32	133	30	stellar	stellar	ADJ
ejde-32	133	31	expansion	expansion	NOUN
ejde-32	134	1	[	[	X
ejde-32	134	2	3	3	NUM
ejde-32	134	3	]	]	PUNCT
ejde-32	134	4	.	.	PUNCT
ejde-32	135	1	but	but	CCONJ
ejde-32	135	2	wars	war	NOUN
ejde-32	135	3	and	and	CCONJ
ejde-32	135	4	diseases	disease	NOUN
ejde-32	135	5	are	be	AUX
ejde-32	135	6	more	more	ADV
ejde-32	135	7	probable	probable	ADJ
ejde-32	135	8	.	.	PUNCT
ejde-32	136	1	there	there	PRON
ejde-32	136	2	have	have	AUX
ejde-32	136	3	been	be	AUX
ejde-32	136	4	a	a	DET
ejde-32	136	5	lot	lot	NOUN
ejde-32	136	6	of	of	ADP
ejde-32	136	7	efforts	effort	NOUN
ejde-32	136	8	in	in	ADP
ejde-32	136	9	fitting	fitting	ADJ
ejde-32	136	10	human	human	ADJ
ejde-32	136	11	population	population	NOUN
ejde-32	136	12	historical	historical	ADJ
ejde-32	136	13	data	datum	NOUN
ejde-32	136	14	with	with	ADP
ejde-32	136	15	a	a	DET
ejde-32	136	16	function	function	NOUN
ejde-32	136	17	such	such	ADJ
ejde-32	136	18	as	as	ADP
ejde-32	136	19	the	the	DET
ejde-32	136	20	nice	nice	ADJ
ejde-32	136	21	fitting	fitting	NOUN
ejde-32	136	22	by	by	ADP
ejde-32	136	23	c(t∗−	c(t∗−	PROPN
ejde-32	136	24	t)−α	t)−α	PROPN
ejde-32	136	25	for	for	ADP
ejde-32	136	26	positive	positive	ADJ
ejde-32	136	27	parameters	parameter	NOUN
ejde-32	136	28	c	c	VERB
ejde-32	136	29	,	,	PUNCT
ejde-32	136	30	t∗	t∗	NOUN
ejde-32	136	31	and	and	CCONJ
ejde-32	136	32	α	α	NOUN
ejde-32	137	1	[	[	X
ejde-32	137	2	5	5	NUM
ejde-32	137	3	]	]	PUNCT
ejde-32	137	4	.	.	PUNCT
ejde-32	138	1	but	but	CCONJ
ejde-32	138	2	human	human	ADJ
ejde-32	138	3	population	population	NOUN
ejde-32	138	4	growth	growth	NOUN
ejde-32	138	5	is	be	AUX
ejde-32	138	6	a	a	DET
ejde-32	138	7	complex	complex	ADJ
ejde-32	138	8	dynamics	dynamic	NOUN
ejde-32	138	9	of	of	ADP
ejde-32	138	10	an	an	DET
ejde-32	138	11	extremely	extremely	ADV
ejde-32	138	12	complex	complex	ADJ
ejde-32	138	13	system	system	NOUN
ejde-32	138	14	,	,	PUNCT
ejde-32	138	15	which	which	PRON
ejde-32	138	16	is	be	AUX
ejde-32	138	17	extremely	extremely	ADV
ejde-32	138	18	difficult	difficult	ADJ
ejde-32	138	19	to	to	PART
ejde-32	138	20	predict	predict	VERB
ejde-32	138	21	.	.	PUNCT
ejde-32	139	1	ejde-2023/17	ejde-2023/17	NOUN
ejde-32	139	2	enrichment	enrichment	NOUN
ejde-32	139	3	paradox	paradox	NOUN
ejde-32	139	4	and	and	CCONJ
ejde-32	139	5	applications	application	NOUN
ejde-32	139	6	9	9	NUM
ejde-32	139	7	figure	figure	NOUN
ejde-32	139	8	9	9	NUM
ejde-32	139	9	.	.	PUNCT
ejde-32	140	1	dynamics	dynamic	NOUN
ejde-32	140	2	of	of	ADP
ejde-32	140	3	(	(	PUNCT
ejde-32	140	4	2.1)-(2.2	2.1)-(2.2	NUM
ejde-32	140	5	)	)	PUNCT
ejde-32	140	6	when	when	SCONJ
ejde-32	140	7	r	r	NOUN
ejde-32	140	8	=	=	SYM
ejde-32	140	9	1/2	1/2	NUM
ejde-32	140	10	,	,	PUNCT
ejde-32	140	11	k	k	NOUN
ejde-32	140	12	=	=	SYM
ejde-32	140	13	1	1	NUM
ejde-32	140	14	,	,	PUNCT
ejde-32	140	15	h	h	NOUN
ejde-32	141	1	=	=	NOUN
ejde-32	141	2	0.38	0.38	NUM
ejde-32	141	3	,	,	PUNCT
ejde-32	141	4	ν	ν	X
ejde-32	141	5	=	=	SYM
ejde-32	141	6	1/2	1/2	NUM
ejde-32	141	7	.	.	PUNCT
ejde-32	142	1	figure	figure	NOUN
ejde-32	142	2	10	10	NUM
ejde-32	142	3	.	.	PUNCT
ejde-32	143	1	dynamics	dynamic	NOUN
ejde-32	143	2	of	of	ADP
ejde-32	143	3	(	(	PUNCT
ejde-32	143	4	2.1)-(2.2	2.1)-(2.2	NUM
ejde-32	143	5	)	)	PUNCT
ejde-32	143	6	when	when	SCONJ
ejde-32	143	7	r	r	NOUN
ejde-32	143	8	=	=	SYM
ejde-32	143	9	1/2	1/2	NUM
ejde-32	143	10	,	,	PUNCT
ejde-32	143	11	k	k	NOUN
ejde-32	143	12	=	=	SYM
ejde-32	143	13	1	1	NUM
ejde-32	143	14	,	,	PUNCT
ejde-32	143	15	h	h	NOUN
ejde-32	143	16	=	=	NOUN
ejde-32	143	17	0.34	0.34	NUM
ejde-32	143	18	,	,	PUNCT
ejde-32	143	19	ν	ν	X
ejde-32	143	20	=	=	SYM
ejde-32	143	21	1/2	1/2	NUM
ejde-32	143	22	.	.	PUNCT
ejde-32	143	23	3.2	3.2	NUM
ejde-32	143	24	.	.	PUNCT
ejde-32	144	1	model	model	NOUN
ejde-32	144	2	application	application	NOUN
ejde-32	144	3	to	to	ADP
ejde-32	144	4	amoebae	amoebae	ADJ
ejde-32	144	5	population	population	NOUN
ejde-32	144	6	life	life	NOUN
ejde-32	144	7	finds	find	VERB
ejde-32	144	8	a	a	DET
ejde-32	144	9	way	way	NOUN
ejde-32	144	10	.	.	PUNCT
ejde-32	145	1	amoebaefood	amoebaefood	ADJ
ejde-32	145	2	system	system	NOUN
ejde-32	145	3	can	can	AUX
ejde-32	145	4	also	also	ADV
ejde-32	145	5	be	be	AUX
ejde-32	145	6	viewed	view	VERB
ejde-32	145	7	as	as	ADP
ejde-32	145	8	a	a	DET
ejde-32	145	9	predator	predator	NOUN
ejde-32	145	10	-	-	PUNCT
ejde-32	145	11	prey	prey	NOUN
ejde-32	145	12	system	system	NOUN
ejde-32	145	13	.	.	PUNCT
ejde-32	146	1	the	the	DET
ejde-32	146	2	dynamics	dynamic	NOUN
ejde-32	146	3	of	of	ADP
ejde-32	146	4	amoebae	amoebae	ADJ
ejde-32	146	5	-	-	PUNCT
ejde-32	146	6	food	food	NOUN
ejde-32	146	7	system	system	NOUN
ejde-32	146	8	is	be	AUX
ejde-32	146	9	like	like	ADP
ejde-32	146	10	that	that	PRON
ejde-32	146	11	shown	show	VERB
ejde-32	146	12	in	in	ADP
ejde-32	146	13	figure	figure	NOUN
ejde-32	146	14	2	2	NUM
ejde-32	146	15	.	.	PUNCT
ejde-32	147	1	the	the	DET
ejde-32	147	2	amoebae	amoebae	ADJ
ejde-32	147	3	population	population	NOUN
ejde-32	147	4	will	will	AUX
ejde-32	147	5	continue	continue	VERB
ejde-32	147	6	to	to	PART
ejde-32	147	7	multiply	multiply	VERB
ejde-32	147	8	until	until	SCONJ
ejde-32	147	9	food	food	NOUN
ejde-32	147	10	is	be	AUX
ejde-32	147	11	scarce	scarce	ADJ
ejde-32	147	12	.	.	PUNCT
ejde-32	148	1	then	then	ADV
ejde-32	148	2	they	they	PRON
ejde-32	148	3	will	will	AUX
ejde-32	148	4	aggragate	aggragate	VERB
ejde-32	148	5	and	and	CCONJ
ejde-32	148	6	build	build	VERB
ejde-32	148	7	stem	stem	NOUN
ejde-32	148	8	and	and	CCONJ
ejde-32	148	9	fruiting	fruiting	NOUN
ejde-32	148	10	structure	structure	NOUN
ejde-32	148	11	.	.	PUNCT
ejde-32	149	1	majority	majority	NOUN
ejde-32	149	2	of	of	ADP
ejde-32	149	3	the	the	DET
ejde-32	149	4	amoebae	amoebae	NOUN
ejde-32	149	5	will	will	AUX
ejde-32	149	6	die	die	VERB
ejde-32	149	7	,	,	PUNCT
ejde-32	149	8	and	and	CCONJ
ejde-32	149	9	only	only	ADV
ejde-32	149	10	the	the	DET
ejde-32	149	11	amoebae	amoeba	NOUN
ejde-32	149	12	inside	inside	ADP
ejde-32	149	13	the	the	DET
ejde-32	149	14	fruits	fruit	NOUN
ejde-32	149	15	will	will	AUX
ejde-32	149	16	survive	survive	VERB
ejde-32	149	17	.	.	PUNCT
ejde-32	150	1	when	when	SCONJ
ejde-32	150	2	the	the	DET
ejde-32	150	3	next	next	ADJ
ejde-32	150	4	round	round	NOUN
ejde-32	150	5	of	of	ADP
ejde-32	150	6	food	food	NOUN
ejde-32	150	7	arrives	arrive	VERB
ejde-32	150	8	,	,	PUNCT
ejde-32	150	9	the	the	DET
ejde-32	150	10	fruits	fruit	NOUN
ejde-32	150	11	will	will	AUX
ejde-32	150	12	fall	fall	VERB
ejde-32	150	13	from	from	ADP
ejde-32	150	14	the	the	DET
ejde-32	150	15	tops	top	NOUN
ejde-32	150	16	of	of	ADP
ejde-32	150	17	the	the	DET
ejde-32	150	18	stems	stem	NOUN
ejde-32	150	19	,	,	PUNCT
ejde-32	150	20	and	and	CCONJ
ejde-32	150	21	the	the	DET
ejde-32	150	22	amoebae	amoebae	ADJ
ejde-32	150	23	inside	inside	ADP
ejde-32	150	24	fruits	fruit	NOUN
ejde-32	150	25	will	will	AUX
ejde-32	150	26	come	come	VERB
ejde-32	150	27	out	out	ADP
ejde-32	150	28	and	and	CCONJ
ejde-32	150	29	start	start	VERB
ejde-32	150	30	the	the	DET
ejde-32	150	31	next	next	ADJ
ejde-32	150	32	round	round	NOUN
ejde-32	150	33	of	of	ADP
ejde-32	150	34	multiplying	multiplying	NOUN
ejde-32	150	35	game	game	NOUN
ejde-32	150	36	.	.	PUNCT
ejde-32	151	1	so	so	ADV
ejde-32	151	2	each	each	DET
ejde-32	151	3	round	round	NOUN
ejde-32	151	4	of	of	ADP
ejde-32	151	5	the	the	DET
ejde-32	151	6	multiplying	multiplying	NOUN
ejde-32	151	7	will	will	AUX
ejde-32	151	8	end	end	VERB
ejde-32	151	9	up	up	ADP
ejde-32	151	10	with	with	ADP
ejde-32	151	11	eradication	eradication	NOUN
ejde-32	151	12	of	of	ADP
ejde-32	151	13	the	the	DET
ejde-32	151	14	majority	majority	NOUN
ejde-32	151	15	of	of	ADP
ejde-32	151	16	the	the	DET
ejde-32	151	17	amoebae	amoebae	NOUN
ejde-32	151	18	.	.	PUNCT
ejde-32	152	1	but	but	CCONJ
ejde-32	152	2	life	life	NOUN
ejde-32	152	3	finds	find	VERB
ejde-32	152	4	a	a	DET
ejde-32	152	5	way	way	NOUN
ejde-32	152	6	for	for	SCONJ
ejde-32	152	7	amoebae	amoebae	ADJ
ejde-32	152	8	species	specie	NOUN
ejde-32	152	9	to	to	PART
ejde-32	152	10	survive	survive	VERB
ejde-32	152	11	through	through	ADP
ejde-32	152	12	fruiting	fruiting	NOUN
ejde-32	152	13	and	and	CCONJ
ejde-32	152	14	sacrifice	sacrifice	NOUN
ejde-32	152	15	of	of	ADP
ejde-32	152	16	the	the	DET
ejde-32	152	17	majority	majority	NOUN
ejde-32	152	18	of	of	ADP
ejde-32	152	19	their	their	PRON
ejde-32	152	20	population	population	NOUN
ejde-32	152	21	.	.	PUNCT
ejde-32	153	1	10	10	NUM
ejde-32	153	2	z.	z.	PROPN
ejde-32	153	3	c.	c.	PROPN
ejde-32	153	4	feng	feng	PROPN
ejde-32	153	5	,	,	PUNCT
ejde-32	153	6	y.	y.	PROPN
ejde-32	153	7	charles	charles	PROPN
ejde-32	153	8	li	li	PROPN
ejde-32	153	9	ejde-2023/17	ejde-2023/17	PROPN
ejde-32	153	10	3.3	3.3	NUM
ejde-32	153	11	.	.	PUNCT
ejde-32	154	1	human	human	ADJ
ejde-32	154	2	food	food	NOUN
ejde-32	154	3	vs.	vs.	ADP
ejde-32	154	4	amoebae	amoebae	ADJ
ejde-32	154	5	food	food	NOUN
ejde-32	154	6	dynamics	dynamic	NOUN
ejde-32	154	7	.	.	PUNCT
ejde-32	155	1	amoebae	amoeba	NOUN
ejde-32	155	2	are	be	AUX
ejde-32	155	3	single	single	ADJ
ejde-32	155	4	-	-	PUNCT
ejde-32	155	5	celled	celle	VERB
ejde-32	155	6	organisms	organism	NOUN
ejde-32	155	7	,	,	PUNCT
ejde-32	155	8	and	and	CCONJ
ejde-32	155	9	they	they	PRON
ejde-32	155	10	have	have	VERB
ejde-32	155	11	no	no	DET
ejde-32	155	12	control	control	NOUN
ejde-32	155	13	on	on	ADP
ejde-32	155	14	their	their	PRON
ejde-32	155	15	population	population	NOUN
ejde-32	155	16	growth	growth	NOUN
ejde-32	155	17	when	when	SCONJ
ejde-32	155	18	the	the	DET
ejde-32	155	19	food	food	NOUN
ejde-32	155	20	is	be	AUX
ejde-32	155	21	abundant	abundant	ADJ
ejde-32	155	22	.	.	PUNCT
ejde-32	156	1	with	with	ADP
ejde-32	156	2	the	the	DET
ejde-32	156	3	increase	increase	NOUN
ejde-32	156	4	of	of	ADP
ejde-32	156	5	food	food	NOUN
ejde-32	156	6	supply	supply	NOUN
ejde-32	156	7	,	,	PUNCT
ejde-32	156	8	humans	human	NOUN
ejde-32	156	9	did	do	AUX
ejde-32	156	10	not	not	PART
ejde-32	156	11	have	have	VERB
ejde-32	156	12	a	a	DET
ejde-32	156	13	good	good	ADJ
ejde-32	156	14	control	control	NOUN
ejde-32	156	15	or	or	CCONJ
ejde-32	156	16	plan	plan	NOUN
ejde-32	156	17	on	on	ADP
ejde-32	156	18	their	their	PRON
ejde-32	156	19	population	population	NOUN
ejde-32	156	20	growth	growth	NOUN
ejde-32	156	21	either	either	ADV
ejde-32	156	22	.	.	PUNCT
ejde-32	157	1	facing	face	VERB
ejde-32	157	2	scarcity	scarcity	NOUN
ejde-32	157	3	of	of	ADP
ejde-32	157	4	food	food	NOUN
ejde-32	157	5	,	,	PUNCT
ejde-32	157	6	amoebae	amoeba	NOUN
ejde-32	157	7	take	take	VERB
ejde-32	157	8	the	the	DET
ejde-32	157	9	approach	approach	NOUN
ejde-32	157	10	of	of	ADP
ejde-32	157	11	sacrifice	sacrifice	NOUN
ejde-32	157	12	to	to	PART
ejde-32	157	13	ensure	ensure	VERB
ejde-32	157	14	the	the	DET
ejde-32	157	15	survival	survival	NOUN
ejde-32	157	16	of	of	ADP
ejde-32	157	17	their	their	PRON
ejde-32	157	18	species	specie	NOUN
ejde-32	157	19	.	.	PUNCT
ejde-32	158	1	four	four	NUM
ejde-32	158	2	thousand	thousand	NUM
ejde-32	158	3	years	year	NOUN
ejde-32	158	4	ago	ago	ADV
ejde-32	158	5	,	,	PUNCT
ejde-32	158	6	during	during	ADP
ejde-32	158	7	the	the	DET
ejde-32	158	8	yao	yao	NOUN
ejde-32	158	9	and	and	CCONJ
ejde-32	158	10	shun	shun	VERB
ejde-32	158	11	dynasties	dynasty	NOUN
ejde-32	158	12	in	in	ADP
ejde-32	158	13	china	china	PROPN
ejde-32	158	14	,	,	PUNCT
ejde-32	158	15	old	old	ADJ
ejde-32	158	16	people	people	NOUN
ejde-32	158	17	would	would	AUX
ejde-32	158	18	starve	starve	VERB
ejde-32	158	19	to	to	ADP
ejde-32	158	20	death	death	NOUN
ejde-32	158	21	to	to	PART
ejde-32	158	22	ensure	ensure	VERB
ejde-32	158	23	the	the	DET
ejde-32	158	24	survival	survival	NOUN
ejde-32	158	25	of	of	ADP
ejde-32	158	26	young	young	ADJ
ejde-32	158	27	people	people	NOUN
ejde-32	158	28	when	when	SCONJ
ejde-32	158	29	there	there	PRON
ejde-32	158	30	was	be	VERB
ejde-32	158	31	food	food	NOUN
ejde-32	158	32	shortage	shortage	NOUN
ejde-32	158	33	.	.	PUNCT
ejde-32	159	1	which	which	DET
ejde-32	159	2	approach	approach	NOUN
ejde-32	159	3	will	will	AUX
ejde-32	159	4	humans	human	NOUN
ejde-32	159	5	take	take	VERB
ejde-32	159	6	when	when	SCONJ
ejde-32	159	7	there	there	PRON
ejde-32	159	8	will	will	AUX
ejde-32	159	9	be	be	AUX
ejde-32	159	10	a	a	DET
ejde-32	159	11	global	global	ADJ
ejde-32	159	12	food	food	NOUN
ejde-32	159	13	shortage	shortage	NOUN
ejde-32	159	14	?	?	PUNCT
ejde-32	160	1	will	will	AUX
ejde-32	160	2	humans	human	NOUN
ejde-32	160	3	take	take	VERB
ejde-32	160	4	the	the	DET
ejde-32	160	5	approach	approach	NOUN
ejde-32	160	6	of	of	ADP
ejde-32	160	7	amoebae	amoeba	NOUN
ejde-32	160	8	?	?	PUNCT
ejde-32	161	1	amoebae	amoeba	NOUN
ejde-32	161	2	have	have	VERB
ejde-32	161	3	no	no	DET
ejde-32	161	4	brain	brain	NOUN
ejde-32	161	5	,	,	PUNCT
ejde-32	161	6	but	but	CCONJ
ejde-32	161	7	so	so	ADV
ejde-32	161	8	far	far	ADV
ejde-32	161	9	humans	human	NOUN
ejde-32	161	10	did	do	AUX
ejde-32	161	11	not	not	PART
ejde-32	161	12	plan	plan	VERB
ejde-32	161	13	their	their	PRON
ejde-32	161	14	survival	survival	NOUN
ejde-32	161	15	better	well	ADV
ejde-32	161	16	than	than	ADP
ejde-32	161	17	amoebae	amoeba	NOUN
ejde-32	161	18	.	.	PUNCT
ejde-32	162	1	there	there	PRON
ejde-32	162	2	are	be	VERB
ejde-32	162	3	a	a	DET
ejde-32	162	4	lot	lot	NOUN
ejde-32	162	5	similarities	similarity	NOUN
ejde-32	162	6	in	in	ADP
ejde-32	162	7	the	the	DET
ejde-32	162	8	population	population	NOUN
ejde-32	162	9	development	development	NOUN
ejde-32	162	10	between	between	ADP
ejde-32	162	11	amoebae	amoeba	NOUN
ejde-32	162	12	and	and	CCONJ
ejde-32	162	13	humans	human	NOUN
ejde-32	162	14	.	.	PUNCT
ejde-32	163	1	studying	study	VERB
ejde-32	163	2	amoebae	amoeba	NOUN
ejde-32	163	3	can	can	AUX
ejde-32	163	4	be	be	AUX
ejde-32	163	5	important	important	ADJ
ejde-32	163	6	in	in	ADP
ejde-32	163	7	understanding	understand	VERB
ejde-32	163	8	human	human	ADJ
ejde-32	163	9	life	life	NOUN
ejde-32	163	10	and	and	CCONJ
ejde-32	163	11	survival	survival	NOUN
ejde-32	163	12	.	.	PUNCT
ejde-32	164	1	3.4	3.4	NUM
ejde-32	164	2	.	.	PUNCT
ejde-32	164	3	model	model	NOUN
ejde-32	164	4	application	application	NOUN
ejde-32	164	5	to	to	ADP
ejde-32	164	6	salmon	salmon	NOUN
ejde-32	164	7	farming	farming	NOUN
ejde-32	164	8	.	.	PUNCT
ejde-32	165	1	human	human	ADJ
ejde-32	165	2	-	-	PUNCT
ejde-32	165	3	salmon	salmon	NOUN
ejde-32	165	4	system	system	NOUN
ejde-32	165	5	is	be	AUX
ejde-32	165	6	a	a	DET
ejde-32	165	7	predator	predator	NOUN
ejde-32	165	8	-	-	PUNCT
ejde-32	165	9	prey	prey	NOUN
ejde-32	165	10	system	system	NOUN
ejde-32	165	11	.	.	PUNCT
ejde-32	166	1	salmon	salmon	PROPN
ejde-32	166	2	farm	farm	PROPN
ejde-32	166	3	can	can	AUX
ejde-32	166	4	be	be	AUX
ejde-32	166	5	viewed	view	VERB
ejde-32	166	6	as	as	ADP
ejde-32	166	7	an	an	DET
ejde-32	166	8	enrichment	enrichment	NOUN
ejde-32	166	9	to	to	PART
ejde-32	166	10	salmon	salmon	VERB
ejde-32	166	11	population	population	NOUN
ejde-32	166	12	.	.	PUNCT
ejde-32	167	1	the	the	DET
ejde-32	167	2	population	population	NOUN
ejde-32	167	3	of	of	ADP
ejde-32	167	4	human	human	ADJ
ejde-32	167	5	eating	eat	VERB
ejde-32	167	6	salmon	salmon	NOUN
ejde-32	167	7	and	and	CCONJ
ejde-32	167	8	the	the	DET
ejde-32	167	9	population	population	NOUN
ejde-32	167	10	of	of	ADP
ejde-32	167	11	salmon	salmon	NOUN
ejde-32	167	12	follow	follow	VERB
ejde-32	167	13	the	the	DET
ejde-32	167	14	dynamics	dynamic	NOUN
ejde-32	167	15	like	like	ADP
ejde-32	167	16	in	in	ADP
ejde-32	167	17	figure	figure	NOUN
ejde-32	167	18	9	9	NUM
ejde-32	167	19	.	.	PUNCT
ejde-32	168	1	when	when	SCONJ
ejde-32	168	2	the	the	DET
ejde-32	168	3	salmon	salmon	NOUN
ejde-32	168	4	is	be	AUX
ejde-32	168	5	abundant	abundant	ADJ
ejde-32	168	6	,	,	PUNCT
ejde-32	168	7	the	the	DET
ejde-32	168	8	price	price	NOUN
ejde-32	168	9	of	of	ADP
ejde-32	168	10	salmon	salmon	NOUN
ejde-32	168	11	(	(	PUNCT
ejde-32	168	12	especially	especially	ADV
ejde-32	168	13	farm	farm	NOUN
ejde-32	168	14	raised	raise	VERB
ejde-32	168	15	salmons	salmon	NOUN
ejde-32	168	16	)	)	PUNCT
ejde-32	168	17	will	will	AUX
ejde-32	168	18	drop	drop	VERB
ejde-32	168	19	,	,	PUNCT
ejde-32	168	20	and	and	CCONJ
ejde-32	168	21	that	that	PRON
ejde-32	168	22	will	will	AUX
ejde-32	168	23	lead	lead	VERB
ejde-32	168	24	to	to	ADP
ejde-32	168	25	more	more	ADJ
ejde-32	168	26	people	people	NOUN
ejde-32	168	27	to	to	PART
ejde-32	168	28	consume	consume	VERB
ejde-32	168	29	salmon	salmon	NOUN
ejde-32	168	30	.	.	PUNCT
ejde-32	169	1	in	in	ADP
ejde-32	169	2	return	return	NOUN
ejde-32	169	3	,	,	PUNCT
ejde-32	169	4	the	the	DET
ejde-32	169	5	salmon	salmon	NOUN
ejde-32	169	6	supply	supply	NOUN
ejde-32	169	7	will	will	AUX
ejde-32	169	8	drop	drop	VERB
ejde-32	169	9	,	,	PUNCT
ejde-32	169	10	lead	lead	VERB
ejde-32	169	11	to	to	ADP
ejde-32	169	12	higher	high	ADJ
ejde-32	169	13	price	price	NOUN
ejde-32	169	14	,	,	PUNCT
ejde-32	169	15	and	and	CCONJ
ejde-32	169	16	less	less	ADJ
ejde-32	169	17	people	people	NOUN
ejde-32	169	18	will	will	AUX
ejde-32	169	19	consume	consume	VERB
ejde-32	169	20	salmon	salmon	NOUN
ejde-32	169	21	.	.	PUNCT
ejde-32	170	1	because	because	SCONJ
ejde-32	170	2	health	health	NOUN
ejde-32	170	3	risks	risk	NOUN
ejde-32	170	4	associated	associate	VERB
ejde-32	170	5	with	with	ADP
ejde-32	170	6	salmon	salmon	NOUN
ejde-32	170	7	farming	farming	NOUN
ejde-32	170	8	,	,	PUNCT
ejde-32	170	9	people	people	NOUN
ejde-32	170	10	prefer	prefer	VERB
ejde-32	170	11	wild	wild	ADJ
ejde-32	170	12	salmon	salmon	NOUN
ejde-32	170	13	,	,	PUNCT
ejde-32	170	14	and	and	CCONJ
ejde-32	170	15	that	that	PRON
ejde-32	170	16	caused	cause	VERB
ejde-32	170	17	severe	severe	ADJ
ejde-32	170	18	predation	predation	NOUN
ejde-32	170	19	on	on	ADP
ejde-32	170	20	wild	wild	ADJ
ejde-32	170	21	salmon	salmon	NOUN
ejde-32	170	22	,	,	PUNCT
ejde-32	170	23	and	and	CCONJ
ejde-32	170	24	led	lead	VERB
ejde-32	170	25	to	to	ADP
ejde-32	170	26	the	the	DET
ejde-32	170	27	extinction	extinction	NOUN
ejde-32	170	28	of	of	ADP
ejde-32	170	29	some	some	DET
ejde-32	170	30	wild	wild	ADJ
ejde-32	170	31	salmon	salmon	NOUN
ejde-32	170	32	such	such	ADJ
ejde-32	170	33	as	as	ADP
ejde-32	170	34	the	the	DET
ejde-32	170	35	atlantic	atlantic	PROPN
ejde-32	170	36	salmon	salmon	NOUN
ejde-32	170	37	.	.	PUNCT
ejde-32	171	1	references	reference	NOUN
ejde-32	171	2	[	[	X
ejde-32	171	3	1	1	X
ejde-32	171	4	]	]	PUNCT
ejde-32	171	5	j.	j.	PROPN
ejde-32	171	6	cohen	cohen	PROPN
ejde-32	171	7	;	;	PUNCT
ejde-32	171	8	population	population	NOUN
ejde-32	171	9	growth	growth	NOUN
ejde-32	171	10	and	and	CCONJ
ejde-32	171	11	earth	earth	NOUN
ejde-32	171	12	’s	’s	PART
ejde-32	171	13	carrying	carry	VERB
ejde-32	171	14	capacity	capacity	NOUN
ejde-32	171	15	,	,	PUNCT
ejde-32	171	16	science	science	NOUN
ejde-32	171	17	,	,	PUNCT
ejde-32	171	18	269	269	NUM
ejde-32	171	19	(	(	PUNCT
ejde-32	171	20	1995	1995	NUM
ejde-32	171	21	)	)	PUNCT
ejde-32	171	22	,	,	PUNCT
ejde-32	171	23	no	no	INTJ
ejde-32	171	24	.	.	NOUN
ejde-32	171	25	5222	5222	NUM
ejde-32	171	26	,	,	PUNCT
ejde-32	171	27	341	341	NUM
ejde-32	171	28	-	-	SYM
ejde-32	171	29	346	346	NUM
ejde-32	171	30	.	.	PUNCT
ejde-32	172	1	[	[	X
ejde-32	172	2	2	2	NUM
ejde-32	172	3	]	]	PUNCT
ejde-32	172	4	z.	z.	PROPN
ejde-32	172	5	feng	feng	PROPN
ejde-32	172	6	,	,	PUNCT
ejde-32	172	7	y.	y.	PROPN
ejde-32	172	8	li	li	PROPN
ejde-32	172	9	;	;	PUNCT
ejde-32	172	10	a	a	DET
ejde-32	172	11	resolution	resolution	NOUN
ejde-32	172	12	of	of	ADP
ejde-32	172	13	the	the	DET
ejde-32	172	14	paradox	paradox	NOUN
ejde-32	172	15	of	of	ADP
ejde-32	172	16	enrichment	enrichment	NOUN
ejde-32	172	17	,	,	PUNCT
ejde-32	172	18	intl	intl	PROPN
ejde-32	172	19	.	.	PUNCT
ejde-32	173	1	j.	j.	PROPN
ejde-32	173	2	bifurcation	bifurcation	PROPN
ejde-32	173	3	and	and	CCONJ
ejde-32	173	4	chaos	chaos	NOUN
ejde-32	173	5	,	,	PUNCT
ejde-32	173	6	25	25	NUM
ejde-32	173	7	(	(	PUNCT
ejde-32	173	8	2015	2015	NUM
ejde-32	173	9	)	)	PUNCT
ejde-32	173	10	,	,	PUNCT
ejde-32	173	11	no	no	INTJ
ejde-32	173	12	.	.	NOUN
ejde-32	173	13	6	6	NUM
ejde-32	173	14	,	,	PUNCT
ejde-32	173	15	1550094	1550094	NUM
ejde-32	173	16	.	.	PUNCT
ejde-32	174	1	[	[	X
ejde-32	174	2	3	3	X
ejde-32	174	3	]	]	PUNCT
ejde-32	174	4	s.	s.	PROPN
ejde-32	174	5	von	von	PROPN
ejde-32	174	6	hoerner	hoerner	PROPN
ejde-32	174	7	;	;	PUNCT
ejde-32	174	8	population	population	NOUN
ejde-32	174	9	explosion	explosion	NOUN
ejde-32	174	10	and	and	CCONJ
ejde-32	174	11	interstellar	interstellar	ADJ
ejde-32	174	12	expansion	expansion	NOUN
ejde-32	174	13	,	,	PUNCT
ejde-32	174	14	journal	journal	NOUN
ejde-32	174	15	of	of	ADP
ejde-32	174	16	the	the	DET
ejde-32	174	17	british	british	ADJ
ejde-32	174	18	interplanetary	interplanetary	ADJ
ejde-32	174	19	society	society	NOUN
ejde-32	174	20	,	,	PUNCT
ejde-32	174	21	28	28	NUM
ejde-32	174	22	(	(	PUNCT
ejde-32	174	23	1975	1975	NUM
ejde-32	174	24	)	)	PUNCT
ejde-32	174	25	,	,	PUNCT
ejde-32	174	26	691	691	NUM
ejde-32	174	27	-	-	SYM
ejde-32	174	28	712	712	NUM
ejde-32	174	29	.	.	PUNCT
ejde-32	175	1	[	[	X
ejde-32	175	2	4	4	X
ejde-32	175	3	]	]	X
ejde-32	175	4	ibn	ibn	PROPN
ejde-32	175	5	khaldun	khaldun	PROPN
ejde-32	175	6	,	,	PUNCT
ejde-32	175	7	muqaddimah	muqaddimah	NOUN
ejde-32	175	8	,	,	PUNCT
ejde-32	175	9	1377	1377	NUM
ejde-32	175	10	.	.	PUNCT
ejde-32	176	1	[	[	X
ejde-32	176	2	5	5	NUM
ejde-32	176	3	]	]	PUNCT
ejde-32	176	4	a.	a.	NOUN
ejde-32	176	5	korotayev	korotayev	PROPN
ejde-32	176	6	,	,	PUNCT
ejde-32	176	7	a.	a.	PROPN
ejde-32	176	8	malkov	malkov	PROPN
ejde-32	176	9	;	;	PUNCT
ejde-32	176	10	a	a	DET
ejde-32	176	11	compact	compact	ADJ
ejde-32	176	12	mathematical	mathematical	ADJ
ejde-32	176	13	model	model	NOUN
ejde-32	176	14	of	of	ADP
ejde-32	176	15	the	the	DET
ejde-32	176	16	world	world	NOUN
ejde-32	176	17	system	system	NOUN
ejde-32	176	18	economic	economic	ADJ
ejde-32	176	19	and	and	CCONJ
ejde-32	176	20	demographic	demographic	ADJ
ejde-32	176	21	growth	growth	NOUN
ejde-32	176	22	,	,	PUNCT
ejde-32	176	23	1ce	1ce	ADJ
ejde-32	176	24	1973ce	1973ce	NOUN
ejde-32	176	25	,	,	PUNCT
ejde-32	176	26	international	international	ADJ
ejde-32	176	27	journal	journal	NOUN
ejde-32	176	28	of	of	ADP
ejde-32	176	29	mathematical	mathematical	ADJ
ejde-32	176	30	models	model	NOUN
ejde-32	176	31	and	and	CCONJ
ejde-32	176	32	methods	method	NOUN
ejde-32	176	33	in	in	ADP
ejde-32	176	34	applied	applied	ADJ
ejde-32	176	35	sciences	science	NOUN
ejde-32	176	36	,	,	PUNCT
ejde-32	176	37	10	10	NUM
ejde-32	176	38	(	(	PUNCT
ejde-32	176	39	2016	2016	NUM
ejde-32	176	40	)	)	PUNCT
ejde-32	176	41	,	,	PUNCT
ejde-32	176	42	200	200	NUM
ejde-32	176	43	-	-	SYM
ejde-32	176	44	209	209	NUM
ejde-32	176	45	.	.	PUNCT
ejde-32	177	1	[	[	X
ejde-32	177	2	6	6	NUM
ejde-32	177	3	]	]	PUNCT
ejde-32	177	4	t.	t.	PROPN
ejde-32	177	5	malthus	malthus	PROPN
ejde-32	177	6	;	;	PUNCT
ejde-32	177	7	an	an	DET
ejde-32	177	8	essay	essay	NOUN
ejde-32	177	9	on	on	ADP
ejde-32	177	10	the	the	DET
ejde-32	177	11	principle	principle	NOUN
ejde-32	177	12	of	of	ADP
ejde-32	177	13	population	population	NOUN
ejde-32	177	14	,	,	PUNCT
ejde-32	177	15	london	london	PROPN
ejde-32	177	16	:	:	PUNCT
ejde-32	177	17	john	john	PROPN
ejde-32	177	18	murray	murray	PROPN
ejde-32	177	19	,	,	PUNCT
ejde-32	177	20	albemarle	albemarle	PROPN
ejde-32	177	21	street	street	PROPN
ejde-32	177	22	,	,	PUNCT
ejde-32	177	23	1826	1826	NUM
ejde-32	177	24	.	.	PUNCT
ejde-32	178	1	[	[	X
ejde-32	178	2	7	7	NUM
ejde-32	178	3	]	]	X
ejde-32	178	4	wwf	wwf	X
ejde-32	178	5	;	;	PUNCT
ejde-32	178	6	living	live	VERB
ejde-32	178	7	planet	planet	NOUN
ejde-32	178	8	report	report	NOUN
ejde-32	178	9	,	,	PUNCT
ejde-32	178	10	2006	2006	NUM
ejde-32	178	11	,	,	PUNCT
ejde-32	178	12	https://d2ouvy59p0dg6k.cloudfront.net/downloads/living	https://d2ouvy59p0dg6k.cloudfront.net/downloads/live	VERB
ejde-32	178	13	planet	planet	NOUN
ejde-32	178	14	report.pdf	report.pdf	X
ejde-32	178	15	zaichun	zaichun	X
ejde-32	178	16	(	(	PUNCT
ejde-32	178	17	z.c	z.c	PROPN
ejde-32	178	18	.	.	PROPN
ejde-32	178	19	)	)	PUNCT
ejde-32	179	1	feng	feng	PROPN
ejde-32	179	2	department	department	PROPN
ejde-32	179	3	of	of	ADP
ejde-32	179	4	mechanical	mechanical	ADJ
ejde-32	179	5	and	and	CCONJ
ejde-32	179	6	aerospace	aerospace	NOUN
ejde-32	179	7	engineering	engineering	NOUN
ejde-32	179	8	,	,	PUNCT
ejde-32	179	9	university	university	PROPN
ejde-32	179	10	of	of	ADP
ejde-32	179	11	missouri	missouri	PROPN
ejde-32	179	12	,	,	PUNCT
ejde-32	179	13	columbia	columbia	PROPN
ejde-32	179	14	,	,	PUNCT
ejde-32	179	15	mo	mo	PROPN
ejde-32	179	16	65211	65211	NUM
ejde-32	179	17	,	,	PUNCT
ejde-32	179	18	usa	usa	PROPN
ejde-32	179	19	email	email	NOUN
ejde-32	179	20	address	address	NOUN
ejde-32	179	21	:	:	PUNCT
ejde-32	180	1	fengf@missouri.edu	fengf@missouri.edu	PROPN
ejde-32	180	2	y.	y.	PROPN
ejde-32	180	3	charles	charles	PROPN
ejde-32	180	4	li	li	PROPN
ejde-32	180	5	department	department	PROPN
ejde-32	180	6	of	of	ADP
ejde-32	180	7	mathematics	mathematics	PROPN
ejde-32	180	8	,	,	PUNCT
ejde-32	180	9	university	university	PROPN
ejde-32	180	10	of	of	ADP
ejde-32	180	11	missouri	missouri	PROPN
ejde-32	180	12	,	,	PUNCT
ejde-32	180	13	columbia	columbia	PROPN
ejde-32	180	14	,	,	PUNCT
ejde-32	180	15	mo	mo	PROPN
ejde-32	180	16	65211	65211	NUM
ejde-32	180	17	,	,	PUNCT
ejde-32	180	18	usa	usa	PROPN
ejde-32	180	19	email	email	NOUN
ejde-32	180	20	address	address	NOUN
ejde-32	180	21	:	:	PUNCT
ejde-32	181	1	liyan@missouri.edu	liyan@missouri.edu	PROPN
ejde-32	181	2	1	1	X
ejde-32	181	3	.	.	PUNCT
ejde-32	181	4	introduction	introduction	NOUN
ejde-32	181	5	2	2	NUM
ejde-32	181	6	.	.	PUNCT
ejde-32	181	7	dynamics	dynamic	NOUN
ejde-32	181	8	of	of	ADP
ejde-32	181	9	a	a	DET
ejde-32	181	10	more	more	ADV
ejde-32	181	11	general	general	ADJ
ejde-32	181	12	predator	predator	NOUN
ejde-32	181	13	-	-	PUNCT
ejde-32	181	14	prey	prey	NOUN
ejde-32	181	15	model	model	NOUN
ejde-32	181	16	3	3	PROPN
ejde-32	181	17	.	.	PUNCT
ejde-32	181	18	model	model	NOUN
ejde-32	181	19	applications	application	NOUN
ejde-32	181	20	3.1	3.1	NUM
ejde-32	181	21	.	.	PUNCT
ejde-32	181	22	model	model	NOUN
ejde-32	181	23	application	application	NOUN
ejde-32	181	24	to	to	ADP
ejde-32	181	25	human	human	ADJ
ejde-32	181	26	-	-	PUNCT
ejde-32	181	27	food	food	NOUN
ejde-32	181	28	dynamics	dynamic	NOUN
ejde-32	181	29	3.2	3.2	NUM
ejde-32	181	30	.	.	PUNCT
ejde-32	182	1	model	model	NOUN
ejde-32	182	2	application	application	NOUN
ejde-32	182	3	to	to	ADP
ejde-32	182	4	amoebae	amoebae	ADJ
ejde-32	182	5	population	population	NOUN
ejde-32	182	6	life	life	NOUN
ejde-32	182	7	finds	find	VERB
ejde-32	182	8	a	a	DET
ejde-32	182	9	way	way	NOUN
ejde-32	182	10	3.3	3.3	NUM
ejde-32	182	11	.	.	PUNCT
ejde-32	183	1	human	human	ADJ
ejde-32	183	2	food	food	NOUN
ejde-32	183	3	vs.	vs.	ADP
ejde-32	183	4	amoebae	amoebae	ADJ
ejde-32	183	5	food	food	NOUN
ejde-32	183	6	dynamics	dynamic	NOUN
ejde-32	183	7	3.4	3.4	NUM
ejde-32	183	8	.	.	PUNCT
ejde-32	183	9	model	model	NOUN
ejde-32	183	10	application	application	NOUN
ejde-32	183	11	to	to	PART
ejde-32	183	12	salmon	salmon	NOUN
ejde-32	183	13	farming	farming	NOUN
ejde-32	183	14	references	reference	NOUN