id	sid	eid	entity	type
ma-105	1	1	2023	CARDINAL
ma-105	2	1	j. math	PERSON
ma-105	4	1	3 (	CARDINAL
ma-105	4	2	2023	CARDINAL
ma-105	5	1	1doi	CARDINAL
ma-105	5	2	10.28924	CARDINAL
ma-105	5	3	alexis nangue1,∗	PERSON
ma-105	5	4	bruno nde tchiffo2	PERSON
ma-105	6	1	55	CARDINAL
ma-105	6	2	maroua	GPE
ma-105	6	3	cameroon	GPE
ma-105	7	1	814	CARDINAL
ma-105	7	2	maroua	GPE
ma-105	7	3	cameroon ndebruno2@gmail.com	EVENT
ma-105	10	1	un	ORG
ma-105	11	1	firstly	ORDINAL
ma-105	17	1	1	CARDINAL
ma-105	18	1	2020	DATE
ma-105	18	2	medicinewas	CARDINAL
ma-105	18	3	three	CARDINAL
ma-105	18	4	british	NORP
ma-105	18	5	michael hougton	PERSON
ma-105	18	6	americans	NORP
ma-105	18	7	charles rice	PERSON
ma-105	19	1	this nobel prize	WORK_OF_ART
ma-105	21	1	41	CARDINAL
ma-105	21	2	71 million	CARDINAL
ma-105	21	3	399 000	QUANTITY
ma-105	21	4	29	CARDINAL
ma-105	21	5	2022	CARDINAL
ma-105	24	1	1	CARDINAL
ma-105	25	1	j. math	PERSON
ma-105	27	1	10.28924	CARDINAL
ma-105	27	2	2015	DATE
ma-105	29	1	may 2016	DATE
ma-105	29	2	the world health assembly	ORG
ma-105	29	3	2016-2021	CARDINAL
ma-105	29	4	2030	DATE
ma-105	30	1	90%reduction	CARDINAL
ma-105	30	2	65%	PERCENT
ma-105	30	3	2015baseline	PRODUCT
ma-105	32	1	6	CARDINAL
ma-105	32	2	7	DATE
ma-105	32	3	14	DATE
ma-105	32	4	35	CARDINAL
ma-105	34	1	one	CARDINAL
ma-105	34	2	31	CARDINAL
ma-105	34	3	8	CARDINAL
ma-105	34	4	32].particularly	DATE
ma-105	34	5	neumann	ORG
ma-105	34	6	al	ORG
ma-105	35	1	30	CARDINAL
ma-105	35	2	6	CARDINAL
ma-105	35	3	10	DATE
ma-105	35	4	14	DATE
ma-105	35	5	35	CARDINAL
ma-105	36	1	8, 30	DATE
ma-105	36	2	32	CARDINAL
ma-105	36	3	al	PERSON
ma-105	37	1		CARDINAL
ma-105	38	1	λ− dh(t)−	ORG
ma-105	38	2	1− η)βh(t)v	TIME
ma-105	38	3	1− η)βh(t)v	TIME
ma-105	38	4	t)−	NORP
ma-105	38	5	1.1	CARDINAL
ma-105	38	6	1− ε)ki(t)−	ORG
ma-105	39	1	1.1	CARDINAL
ma-105	40	1	wang	ORG
ma-105	40	2	wang	PERSON
ma-105	40	3	39	CARDINAL
ma-105	40	4	13	CARDINAL
ma-105	41	1	1.1	CARDINAL
ma-105	41	2	29	CARDINAL
ma-105	43	1	j. math	PERSON
ma-105	45	1	10.28924	CARDINAL
ma-105	45	2	18	CARDINAL
ma-105	45	3	0	CARDINAL
ma-105	45	4	0	CARDINAL
ma-105	45	5	0	CARDINAL
ma-105	45	6	0are	CARDINAL
ma-105	47	1	al	PERSON
ma-105	48	1	18	CARDINAL
ma-105	49	1	34	CARDINAL
ma-105	50	1	1	CARDINAL
ma-105	50	2	alin	ORG
ma-105	50	3	17	CARDINAL
ma-105	51	1	1	CARDINAL
ma-105	51	2	crowley-martin	PERSON
ma-105	51	3	9	CARDINAL
ma-105	51	4	43	CARDINAL
ma-105	52	1	1	CARDINAL
ma-105	52	2	beddington-deangelis	PERSON
ma-105	52	3	5,11],and	CARDINAL
ma-105	52	4	25	CARDINAL
ma-105	52	5	26	DATE
ma-105	52	6	38	DATE
ma-105	52	7	42	CARDINAL
ma-105	53	1	0	CARDINAL
ma-105	53	2	1	CARDINAL
ma-105	53	3	28	CARDINAL
ma-105	54	1	0	CARDINAL
ma-105	55	1	1	CARDINAL
ma-105	55	2	36	CARDINAL
ma-105	56	1	1	CARDINAL
ma-105	57	1	1.1	CARDINAL
ma-105	58	1	1.1	CARDINAL
ma-105	58	2	pde)-cellular	NORP
ma-105	58	3	1.1	CARDINAL
ma-105	59	1	thatin	PRODUCT
ma-105	61	1	first	ORDINAL
ma-105	61	2	chong et al	PERSON
ma-105	62	1	7].the	CARDINAL
ma-105	63	1	section 2	LAW
ma-105	64	1	section 3is	LAW
ma-105	64	2	bounded-ness	ORG
ma-105	65	1	section 4	LAW
ma-105	65	2	section 5	LAW
ma-105	66	1	section 6. 2	DATE
ma-105	66	2	ω ⊂ r3	ORG
ma-105	67	1	h(x	GPE
ma-105	67	2	i(x	GPE
ma-105	68	1	andv	PERSON
ma-105	70	1	2.1	CARDINAL
ma-105	71	1	ω	CARDINAL
ma-105	72	1	ν	NORP
ma-105	74	1	j. math	PERSON
ma-105	76	1	10.28924	CARDINAL
ma-105	77	1	0	CARDINAL
ma-105	77	2	1	DATE
ma-105	77	3	2	DATE
ma-105	77	4	3	CARDINAL
ma-105	80	1	a fraction as (	CARDINAL
ma-105	82	1	t)−	ORG
ma-105	82	2	1−	LANGUAGE
ma-105	83	1	∂2	CARDINAL
ma-105	83	2	1 +	DATE
ma-105	83	3	2 + ∂2	DATE
ma-105	83	4	three	CARDINAL
ma-105	84	1	2.2	CARDINAL
ma-105	85	1	1 αis	CARDINAL
ma-105	86	1	α0+α1h+α2v +α3hv	DATE
ma-105	88	1	1−	LANGUAGE
ma-105	90	1	2.3	CARDINAL
ma-105	91	1	ki	PERSON
ma-105	92	1	α0+α1h+α2v +α3hv	DATE
ma-105	92	2	0	CARDINAL
ma-105	92	3	1	CARDINAL
ma-105	95	1	1−	LANGUAGE
ma-105	95	2	d3	ORG
ma-105	96	1	2.4	CARDINAL
ma-105	98	1	pde system modellingbiological dynamics	ORG
ma-105	99	1	0	CARDINAL
ma-105	99	2	ω×	ORG
ma-105	99	3	0	CARDINAL
ma-105	101	1	j. math	PERSON
ma-105	103	1	10.28924	CARDINAL
ma-105	103	2	pde	ORG
ma-105	106	1	1−	CARDINAL
ma-105	106	2	η)βhv	GPE
ma-105	107	1	= d2∆i(x	PERSON
ma-105	107	2	1−	CARDINAL
ma-105	107	3	η)βhv	GPE
ma-105	108	1	2.1	CARDINAL
ma-105	110	1	η)βhv	GPE
ma-105	110	2	α0 +	DATE
ma-105	112	1	neumann	ORG
ma-105	114	1	0	CARDINAL
ma-105	115	1	0	CARDINAL
ma-105	115	2	2.2	CARDINAL
ma-105	116	1	h(x	PERSON
ma-105	116	2	0	DATE
ma-105	116	3	i0	ORG
ma-105	116	4	∈ ω	ORG
ma-105	117	1	2.3	CARDINAL
ma-105	117	2	2.2	CARDINAL
ma-105	120	1	0	CARDINAL
ma-105	122	1	1−	CARDINAL
ma-105	122	2	η)βhv	GPE
ma-105	125	1	1−	CARDINAL
ma-105	125	2	η)βhv	GPE
ma-105	128	1	η)βhv	GPE
ma-105	128	2	α0 +	DATE
ma-105	128	3	2.4	CARDINAL
ma-105	130	1	0	CARDINAL
ma-105	131	1	0	CARDINAL
ma-105	131	2	h(x	PERSON
ma-105	131	3	0	DATE
ma-105	131	4	0	DATE
ma-105	131	5	i0	ORG
ma-105	131	6	∈ ω	ORG
ma-105	132	1	3	CARDINAL
ma-105	132	2	2.4	CARDINAL
ma-105	132	3	2.4	CARDINAL
ma-105	133	1	2.4	CARDINAL
ma-105	135	1	3.1	CARDINAL
ma-105	135	2	2.4	CARDINAL
ma-105	136	1	f2(h	ORG
ma-105	137	1	3.1	CARDINAL
ma-105	137	2	f1(h	CARDINAL
ma-105	138	1	1−	CARDINAL
ma-105	138	2	η)βhv	GPE
ma-105	141	1	j. math	PERSON
ma-105	143	1	10.28924	CARDINAL
ma-105	143	2	1− η)βhv	PRODUCT
ma-105	143	3	1−	ORDINAL
ma-105	144	1	1−	CARDINAL
ma-105	144	2	η)βhv	GPE
ma-105	144	3	2.4	CARDINAL
ma-105	145	1	3.1	CARDINAL
ma-105	146	1	t ∈ r∗+	ORG
ma-105	147	1	0	CARDINAL
ma-105	147	2	3	CARDINAL
ma-105	147	3	c0 b(ω ×	ORG
ma-105	147	4	0	CARDINAL
ma-105	147	5	ω ×	ORG
ma-105	148	1	0	CARDINAL
ma-105	149	1	3.1	CARDINAL
ma-105	149	2	0	CARDINAL
ma-105	150	1	f1	PERSON
ma-105	150	2	f2	ORG
ma-105	150	3	0	CARDINAL
ma-105	151	1	t ∈ r∗+	ORG
ma-105	152	1	0	CARDINAL
ma-105	153	1	3	CARDINAL
ma-105	153	2	first	ORDINAL
ma-105	153	3	i2	PERSON
ma-105	153	4	1‖h1	CARDINAL
ma-105	154	1	−h2‖2 +k1 2‖i1	PRODUCT
ma-105	156	1	3‖v1	CARDINAL
ma-105	156	2	v2‖2	ORDINAL
ma-105	156	3	3.2	CARDINAL
ma-105	156	4	1	CARDINAL
ma-105	156	5	1	CARDINAL
ma-105	158	1	2	CARDINAL
ma-105	158	2	3	CARDINAL
ma-105	158	3	1− η)β (	PRODUCT
ma-105	158	4	1 α1 + hm	QUANTITY
ma-105	158	5	i2	PERSON
ma-105	159	1	2‖i1	CARDINAL
ma-105	160	1	3‖v1	CARDINAL
ma-105	160	2	v2‖2	ORDINAL
ma-105	160	3	3.4	CARDINAL
ma-105	160	4	1	CARDINAL
ma-105	160	5	1−	CARDINAL
ma-105	160	6	1	CARDINAL
ma-105	160	7	2	CARDINAL
ma-105	160	8	3	CARDINAL
ma-105	160	9	1− η)β (	PRODUCT
ma-105	160	10	1 α1 + hm	QUANTITY
ma-105	161	1	3.5	CARDINAL
ma-105	161	2	1‖h1	CARDINAL
ma-105	162	1	2‖i1	CARDINAL
ma-105	163	1	3‖v1	CARDINAL
ma-105	163	2	v2‖2	ORDINAL
ma-105	163	3	3.6	CARDINAL
ma-105	163	4	1	CARDINAL
ma-105	163	5	1	CARDINAL
ma-105	163	6	2 = k(1−	QUANTITY
ma-105	163	7	3	CARDINAL
ma-105	163	8	1 α1 + hm	QUANTITY
ma-105	164	1	3.7	CARDINAL
ma-105	164	2	3.1	CARDINAL
ma-105	164	3	∂th	PERSON
ma-105	164	4	ω×	ORG
ma-105	164	5	0	CARDINAL
ma-105	167	1	g(t	NORP
ma-105	167	2	ω×	ORG
ma-105	167	3	0	CARDINAL
ma-105	167	4	∂tv	GPE
ma-105	167	5	ω×	ORG
ma-105	167	6	0	CARDINAL
ma-105	169	1	0	CARDINAL
ma-105	170	1	0	CARDINAL
ma-105	172	1	0	CARDINAL
ma-105	174	1	0	CARDINAL
ma-105	174	2	ω×	ORG
ma-105	175	1	3.8	CARDINAL
ma-105	177	1	j. math	PERSON
ma-105	179	1	10.28924	CARDINAL
ma-105	179	2	3.1	CARDINAL
ma-105	180	1	22	CARDINAL
ma-105	181	1	ω ∈	ORG
ma-105	181	2	0	CARDINAL
ma-105	181	3	1	CARDINAL
ma-105	182	1	∈	ORG
ma-105	182	2	6=	CARDINAL
ma-105	182	3	3.9)and	CARDINAL
ma-105	182	4	a)‖ ≤ m	MONEY
ma-105	183	1	3.1	CARDINAL
ma-105	184	1	neumann	ORG
ma-105	184	2	ω ∈	ORG
ma-105	187	1	0	CARDINAL
ma-105	192	1	3.2	CARDINAL
ma-105	193	1	1	CARDINAL
ma-105	193	2	1 ≤	MONEY
ma-105	194	1	2p	CARDINAL
ma-105	195	1	3.3	CARDINAL
ma-105	196	1	22	CARDINAL
ma-105	196	2	d(hβ	NORP
ma-105	196	3	4	CARDINAL
ma-105	196	4	3.4	CARDINAL
ma-105	197	1	22	CARDINAL
ma-105	197	2	g(t	NORP
ma-105	198	1	∈	ORG
ma-105	198	2	0	CARDINAL
ma-105	199	1	t e−at	DATE
ma-105	199	2	g(t	NORP
ma-105	199	3	0	CARDINAL
ma-105	200	1	3.5	CARDINAL
ma-105	202	1	g(t	PERSON
ma-105	203	1	0	CARDINAL
ma-105	203	2	0	CARDINAL
ma-105	204	1	3.2	CARDINAL
ma-105	206	1	0	CARDINAL
ma-105	206	2	i0	GPE
ma-105	206	3	0	CARDINAL
ma-105	206	4	ω	ORDINAL
ma-105	206	5	i0	GPE
ma-105	206	6	fromr4	ORG
ma-105	207	1	0	DATE
ma-105	207	2	g(t	NORP
ma-105	207	3	0	DATE
ma-105	207	4	0	CARDINAL
ma-105	207	5	0	CARDINAL
ma-105	209	1	j. math	PERSON
ma-105	211	1	10.28924	CARDINAL
ma-105	211	2	∈ ω	ORG
ma-105	211	3	0	CARDINAL
ma-105	211	4	∈	ORG
ma-105	212	1	f(t, h	ORG
ma-105	212	2	i(x	PERSON
ma-105	212	3	g(t	NORP
ma-105	212	4	g(t	NORP
ma-105	212	5	i(x	PERSON
ma-105	212	6	h(x	GPE
ma-105	212	7	i(x	PERSON
ma-105	212	8	g1	ORG
ma-105	214	1	3.6	CARDINAL
ma-105	215	1	22	CARDINAL
ma-105	215	2	0	CARDINAL
ma-105	217	1	i(τ	ORG
ma-105	220	1	i(τ	ORG
ma-105	222	1	i(τ	ORG
ma-105	222	2	0	CARDINAL
ma-105	222	3	d(a1	GPE
ma-105	223	1	0+	DATE
ma-105	223	2	0+	DATE
ma-105	224	1	3.7	CARDINAL
ma-105	225	1	3.8	CARDINAL
ma-105	226	1	i(τ	ORG
ma-105	226	2	3.11	CARDINAL
ma-105	230	1	i(τ	ORG
ma-105	230	2	3.12	CARDINAL
ma-105	232	1	i(τ	ORG
ma-105	233	1	3.13	CARDINAL
ma-105	234	1	j = 1	PERSON
ma-105	234	2	2	DATE
ma-105	234	3	3	CARDINAL
ma-105	236	1	3.4	CARDINAL
ma-105	241	1	d1 × ∆h(τ	ORG
ma-105	242	1	i(τ	ORG
ma-105	244	1	i(τ	ORG
ma-105	244	2	3.5	CARDINAL
ma-105	244	3	0	CARDINAL
ma-105	248	1	i(τ	ORG
ma-105	248	2	i(τ	ORG
ma-105	249	1	3.14	CARDINAL
ma-105	250	1	j. math	PERSON
ma-105	252	1	10.28924	CARDINAL
ma-105	257	1	i(τ	ORG
ma-105	260	1	i(τ	ORG
ma-105	262	1	i(τ	ORG
ma-105	263	1	3.15	CARDINAL
ma-105	264	1	− τ)v	ORG
ma-105	265	1	∆g3(t −	PERSON
ma-105	267	1	i(τ	ORG
ma-105	268	1	i(τ	ORG
ma-105	269	1	3.16	CARDINAL
ma-105	269	2	3.14	CARDINAL
ma-105	269	3	3.15	CARDINAL
ma-105	269	4	3.16	CARDINAL
ma-105	269	5	3.11),(3.12	CARDINAL
ma-105	269	6	3.13	CARDINAL
ma-105	270	1	3.3	CARDINAL
ma-105	271	1	3	CARDINAL
ma-105	271	2	2	CARDINAL
ma-105	271	3	3 4	DATE
ma-105	271	4	3.2	CARDINAL
ma-105	272	1	0	CARDINAL
ma-105	273	1	3.11	CARDINAL
ma-105	273	2	3.12	CARDINAL
ma-105	273	3	3.13	CARDINAL
ma-105	274	1	3.8	CARDINAL
ma-105	275	1	t 7→	DATE
ma-105	275	2	7→	CARDINAL
ma-105	275	3	g(t, h(t	GPE
ma-105	275	4	linear cauchy problem	ORG
ma-105	275	5	f(t, h(t	ORG
ma-105	275	6	g(t, h(t	ORG
ma-105	275	7	y1(0	PERSON
ma-105	275	8	3.11	CARDINAL
ma-105	275	9	3.12	CARDINAL
ma-105	275	10	3.13	CARDINAL
ma-105	276	1	2	CARDINAL
ma-105	276	2	4	CARDINAL
ma-105	276	3	3	CARDINAL
ma-105	276	4	22	CARDINAL
ma-105	276	5	24	CARDINAL
ma-105	277	1	3.8	CARDINAL
ma-105	278	1	3.8	CARDINAL
ma-105	279	1	i0 ∈ c0 b(ω	ORG
ma-105	281	1	3.2	CARDINAL
ma-105	282	1	2.4	CARDINAL
ma-105	283	1	3.9	CARDINAL
ma-105	284	1	ω×	ORG
ma-105	284	2	0	CARDINAL
ma-105	285	1	ω×	ORG
ma-105	285	2	0	CARDINAL
ma-105	285	3	3	CARDINAL
ma-105	285	4	2.4	CARDINAL
ma-105	286	1	j. math	PERSON
ma-105	288	1	10.28924	CARDINAL
ma-105	289	1	∈ ω	ORG
ma-105	289	2	∂i0∂η	ORG
ma-105	289	3	∂v0 ∂η	PERSON
ma-105	289	4	0	CARDINAL
ma-105	291	1	0	CARDINAL
ma-105	291	2	h(x	GPE
ma-105	291	3	i(x	GPE
ma-105	292	1	max	PERSON
ma-105	292	2	max x∈ω̄ {h(x	PERSON
ma-105	292	3	0	DATE
ma-105	293	1	+ i(x	PERSON
ma-105	293	2	0	DATE
ma-105	293	3	max	PERSON
ma-105	293	4	1−	TIME
ma-105	293	5	max	PERSON
ma-105	296	1	0	CARDINAL
ma-105	298	1	first	ORDINAL
ma-105	298	2	two	CARDINAL
ma-105	298	3	2.4	CARDINAL
ma-105	299	1	λ−	CARDINAL
ma-105	299	2	t)− αi(x	GPE
ma-105	301	1	h(x	GPE
ma-105	302	1	λ−min{d	PERSON
ma-105	302	2	h(x	GPE
ma-105	303	1	λ− δ2s(x	PERSON
ma-105	303	2	∈ ω	ORG
ma-105	304	1	0	CARDINAL
ma-105	304	2	∈	ORG
ma-105	305	1	0	CARDINAL
ma-105	305	2	max	PERSON
ma-105	305	3	3.17	CARDINAL
ma-105	305	4	h(x	PERSON
ma-105	305	5	0	DATE
ma-105	306	1	+ i(x	PERSON
ma-105	306	2	0	DATE
ma-105	307	1	33	CARDINAL
ma-105	307	2	s̄(t	TIME
ma-105	307	3	s̄(t	TIME
ma-105	308	1	1− e−δ2t	PRODUCT
ma-105	309	1	max x∈ω̄ s0(x)e−δ2t	PERSON
ma-105	309	2	the problem ds̄(t	ORG
ma-105	310	1	λ− δ2s̄(t	TIME
ma-105	311	1	max x∈ω̄	PERSON
ma-105	311	2	3.18	CARDINAL
ma-105	311	3	3.17	CARDINAL
ma-105	312	1	3.18	CARDINAL
ma-105	315	1	∈	ORG
ma-105	315	2	r.	NORP
ma-105	315	3	s̄(t	TIME
ma-105	317	1	max	PERSON
ma-105	317	2	s̄(t	TIME
ma-105	318	1	1− e−δ2t	PRODUCT
ma-105	319	1	max x∈ω̄ s0(x)e−δ2t	PERSON
ma-105	321	1	j. math	PERSON
ma-105	323	1	10.28924	CARDINAL
ma-105	324	1	1− e−δ2t	PRODUCT
ma-105	325	1	max x∈ω̄ s0(x)e−δ2t	PERSON
ma-105	325	2	max	PERSON
ma-105	325	3	max x∈ω̄ s0(x	PERSON
ma-105	325	4	1− e−δ2t	PRODUCT
ma-105	327	1	max x∈ω̄ s0(x	PERSON
ma-105	327	2	max	PERSON
ma-105	327	3	max x∈ω̄ s0(x	PERSON
ma-105	328	1	s(x	PERSON
ma-105	328	2	max	PERSON
ma-105	329	1	max x∈ω̄ {h(x	PERSON
ma-105	329	2	0	DATE
ma-105	329	3	+ i(x	PERSON
ma-105	329	4	0	DATE
ma-105	331	1	max	PERSON
ma-105	331	2	max x∈ω̄ {h(x	PERSON
ma-105	331	3	0	DATE
ma-105	332	1	+ i(x	PERSON
ma-105	332	2	0	DATE
ma-105	333	1	0	CARDINAL
ma-105	333	2	2.4	CARDINAL
ma-105	335	1	third	ORDINAL
ma-105	335	2	2.4	CARDINAL
ma-105	335	3	1−	ORDINAL
ma-105	335	4	t)−	ORG
ma-105	335	5	∈ ω	ORG
ma-105	336	1	0	CARDINAL
ma-105	337	1	∈	ORG
ma-105	338	1	0	CARDINAL
ma-105	338	2	max	PERSON
ma-105	340	1	1−	CARDINAL
ma-105	340	2	max x∈ω̄ v0(x	PERSON
ma-105	340	3	3.19	CARDINAL
ma-105	340	4	33	CARDINAL
ma-105	340	5	1−ε)khm	CARDINAL
ma-105	340	6	1− e−µt	DATE
ma-105	341	1	the problem dv	ORG
ma-105	342	1	1−	CARDINAL
ma-105	342	2	max	PERSON
ma-105	342	3	3.20	CARDINAL
ma-105	343	1	j. math	PERSON
ma-105	345	1	10.28924	CARDINAL
ma-105	345	2	3.19	CARDINAL
ma-105	346	1	3.20	CARDINAL
ma-105	346	2	c(t)e−µt	ORG
ma-105	347	1	lagrange	GPE
ma-105	347	2	c(t	ORG
ma-105	347	3	1−ε)khm	CARDINAL
ma-105	347	4	1	CARDINAL
ma-105	348	1	∈	ORG
ma-105	350	1	1−	CARDINAL
ma-105	350	2	1	CARDINAL
ma-105	351	1	max x∈ω̄ v0(x	PERSON
ma-105	352	1	1−	CARDINAL
ma-105	352	2	1− e−µt	DATE
ma-105	353	1	max x∈ω̄	PERSON
ma-105	355	1	max	PERSON
ma-105	357	1	1−	TIME
ma-105	357	2	max x∈ω̄ v0(x	PERSON
ma-105	357	3	1− e−µt	DATE
ma-105	358	1	1−	TIME
ma-105	358	2	max x∈ω̄ v0(x	PERSON
ma-105	358	3	e−µt	ORG
ma-105	358	4	max	PERSON
ma-105	358	5	1−	TIME
ma-105	358	6	max x∈ω̄ v0(x	PERSON
ma-105	359	1	max	PERSON
ma-105	359	2	1−	TIME
ma-105	359	3	max	PERSON
ma-105	360	1	0	CARDINAL
ma-105	360	2	2.4	CARDINAL
ma-105	360	3	h(x	GPE
ma-105	360	4	i(x	GPE
ma-105	360	5	ω ×	ORG
ma-105	361	1	0	CARDINAL
ma-105	362	1	23	CARDINAL
ma-105	364	1	3.9	CARDINAL
ma-105	364	2	3.3	CARDINAL
ma-105	365	1	2.4	CARDINAL
ma-105	366	1	2.4	CARDINAL
ma-105	366	2		CARDINAL
ma-105	368	1	ω×	ORG
ma-105	368	2	0	CARDINAL
ma-105	368	3	∂w1 ∂η	PERSON
ma-105	368	4	0	CARDINAL
ma-105	368	5	0	CARDINAL
ma-105	369	1	0	CARDINAL
ma-105	369	2	3.21	CARDINAL
ma-105	369	3	ω	LOC
ma-105	370	1	j. math	PERSON
ma-105	372	1	10.28924	CARDINAL
ma-105	375	1	1−	TIME
ma-105	375	2	ρw2	CARDINAL
ma-105	375	3	1− η)βw1w3 α0 +	DATE
ma-105	375	4	f3(w	ORG
ma-105	375	5	1− ε)kw2	PRODUCT
ma-105	376	1	0	CARDINAL
ma-105	377	1	12	CARDINAL
ma-105	377	2	0	CARDINAL
ma-105	377	3	e′	GPE
ma-105	378	1	∈	ORG
ma-105	378	2	0	CARDINAL
ma-105	378	3	∈	ORG
ma-105	378	4	0	CARDINAL
ma-105	378	5	e′	GPE
ma-105	378	6	w02	ORG
ma-105	378	7	∈	ORG
ma-105	378	8	1	CARDINAL
ma-105	378	9	2	DATE
ma-105	378	10	3	CARDINAL
ma-105	379	1	3.22	CARDINAL
ma-105	379	2	2.7	CARDINAL
ma-105	379	3	12	CARDINAL
ma-105	380	1	one	CARDINAL
ma-105	381	1	∂w0	ORG
ma-105	381	2	0	CARDINAL
ma-105	381	3	ω×	ORG
ma-105	381	4	0	CARDINAL
ma-105	381	5	w0(0	ORG
ma-105	381	6	ω	GPE
ma-105	381	7	0	CARDINAL
ma-105	382	1	3.23	CARDINAL
ma-105	382	2	0.by	CARDINAL
ma-105	382	3	w n 1	PRODUCT
ma-105	383	1	∂wn	PERSON
ma-105	385	1	ω×	ORG
ma-105	385	2	0	CARDINAL
ma-105	385	3	ω	GPE
ma-105	385	4	∂wn	ORG
ma-105	385	5	0	CARDINAL
ma-105	387	1	3.24	CARDINAL
ma-105	387	2	3.24	CARDINAL
ma-105	387	3	2.10	CARDINAL
ma-105	387	4	12	CARDINAL
ma-105	389	1	0 ≤	MONEY
ma-105	389	2	3.9 w	PERSON
ma-105	389	3	0 ≤	MONEY
ma-105	389	4	1	CARDINAL
ma-105	389	5	0 ≤	QUANTITY
ma-105	389	6	1	CARDINAL
ma-105	389	7	1	CARDINAL
ma-105	389	8	3 + α3w	DATE
ma-105	389	9	1	CARDINAL
ma-105	389	10	3 ≤	QUANTITY
ma-105	389	11	3.25	CARDINAL
ma-105	390	1	j. math	PERSON
ma-105	392	1	10.28924	CARDINAL
ma-105	393	1	3.26	CARDINAL
ma-105	394	1	1− η)β.	PRODUCT
ma-105	395	1	q1(wn−1	NORP
ma-105	395	2	0	CARDINAL
ma-105	396	1	e′	GPE
ma-105	397	1	2.10	CARDINAL
ma-105	397	2	12	CARDINAL
ma-105	397	3	0	CARDINAL
ma-105	397	4	e′	GPE
ma-105	397	5	0	CARDINAL
ma-105	398	1	1−η)βw1w3 α0+α1w1+α2w3+α3w1w3 ≤	MONEY
ma-105	398	2	1−	WORK_OF_ART
ma-105	398	3	1− ε)kw2	PRODUCT
ma-105	398	4	f1(wn−1	ORG
ma-105	398	5	ρwn−1 2	EVENT
ma-105	398	6	1	CARDINAL
ma-105	398	7	2	CARDINAL
ma-105	400	1	wn2	GPE
ma-105	400	2	wmi	ORG
ma-105	400	3	convergesweakly	PERSON
ma-105	400	4	wi	GPE
ma-105	400	5	l2((0	GPE
ma-105	400	6	l∞((0	GPE
ma-105	400	7	wi	GPE
ma-105	401	1	2.11	CARDINAL
ma-105	401	2	12	CARDINAL
ma-105	402	1	3.27	CARDINAL
ma-105	403	1	gni	ORG
ma-105	405	1	3.28	CARDINAL
ma-105	405	2	gni ∈ l2((0	ORG
ma-105	408	1	0	CARDINAL
ma-105	409	1	3.29	CARDINAL
ma-105	411	1	3∑	CARDINAL
ma-105	411	2	∫ ω	ORG
ma-105	411	3	∂xj ∂v ∂xj dx	PERSON
ma-105	411	4	3.30	CARDINAL
ma-105	411	5	ω	ORDINAL
ma-105	412	1	12	CARDINAL
ma-105	413	1	lim k→+∞	PERSON
ma-105	416	1	−ah	ORG
ma-105	417	1	∞∑ k=0	PERSON
ma-105	418	1	3.31	CARDINAL
ma-105	418	2	0	CARDINAL
ma-105	418	3	lim	PERSON
ma-105	421	1	j. math	PERSON
ma-105	423	1	10.28924	CARDINAL
ma-105	424	1	n∑ k=0	PERSON
ma-105	424	2	3.32	CARDINAL
ma-105	424	3	g(t	NORP
ma-105	426	1	3.10	CARDINAL
ma-105	427	1	12	CARDINAL
ma-105	427	2	l(h	PRODUCT
ma-105	428	1	one	CARDINAL
ma-105	428	2	0	CARDINAL
ma-105	428	3	2	CARDINAL
ma-105	428	4	l(h	PRODUCT
ma-105	428	5	g(t	NORP
ma-105	428	6	l1(]0	GPE
ma-105	429	1	l(h	PRODUCT
ma-105	430	1	0	CARDINAL
ma-105	431	1	0	CARDINAL
ma-105	432	1	2.4	CARDINAL
ma-105	433	1	3.11	CARDINAL
ma-105	434	1	3.22	CARDINAL
ma-105	434	2	3.21	CARDINAL
ma-105	434	3	w ∈	ORG
ma-105	434	4	w	ORG
ma-105	434	5	0	CARDINAL
ma-105	435	1	3.11	CARDINAL
ma-105	436	1	3.4	CARDINAL
ma-105	438	1	2.4	CARDINAL
ma-105	440	1	0	CARDINAL
ma-105	442	1	max	PERSON
ma-105	443	1	max	PERSON
ma-105	443	2	0	DATE
ma-105	444	1	+ i(x	PERSON
ma-105	444	2	0	DATE
ma-105	444	3	max	PERSON
ma-105	444	4	1−	TIME
ma-105	444	5	max	PERSON
ma-105	446	1	4	CARDINAL
ma-105	446	2	4.1	CARDINAL
ma-105	448	1	2.4	CARDINAL
ma-105	448	2	2.4	CARDINAL
ma-105	448	3	0	DATE
ma-105	449	1	j. math	PERSON
ma-105	451	1	10.28924	CARDINAL
ma-105	454	1	4.2	CARDINAL
ma-105	455	1	2.4	CARDINAL
ma-105	455	2	first	ORDINAL
ma-105	455	3	2.4	CARDINAL
ma-105	456	1	one	CARDINAL
ma-105	460	1	37,40	CARDINAL
ma-105	461	1	40	CARDINAL
ma-105	462	1	2.4	CARDINAL
ma-105	462	2		CARDINAL
ma-105	464	1	1− η)βλ α0 + α1λ	TIME
ma-105	465	1	4.1	CARDINAL
ma-105	467	1	0	CARDINAL
ma-105	468	1	0	CARDINAL
ma-105	469	1	4.1	CARDINAL
ma-105	470	1	1− η)βλ α0 + α1λ ψ3(x	TIME
ma-105	470	2	ω	GPE
ma-105	470	3	λψ3(x	GPE
ma-105	472	1	1− ε)kψ2(x)− µψ3(x)−	DATE
ma-105	472	2	ω	GPE
ma-105	472	3	4.2	CARDINAL
ma-105	473	1	0	CARDINAL
ma-105	475	1	j. math	PERSON
ma-105	477	1	10.28924	CARDINAL
ma-105	477	2	40	CARDINAL
ma-105	477	3	c(ω̄,r2)→	TIME
ma-105	479	1	4.3	CARDINAL
ma-105	480	1	0	CARDINAL
ma-105	481	1	t)ψ(x	ORG
ma-105	486	1	40	CARDINAL
ma-105	486	2	ρ(l	PERSON
ma-105	487	1	0	CARDINAL
ma-105	488	1	1−η)βλ	CARDINAL
ma-105	489	1	−(1−	ORG
ma-105	489	2	µ+ u	ORG
ma-105	489	3	1−η)βλ α0+α1λ	QUANTITY
ma-105	492	1	α0 + α1λ	DATE
ma-105	493	1	1−η)(1−ε)kβλ α0+α1λ	QUANTITY
ma-105	494	1	40	CARDINAL
ma-105	494	2	3.4	CARDINAL
ma-105	494	3	1− η)(1− ε)kβλ	LAW
ma-105	496	1	4.4	CARDINAL
ma-105	497	1	j. math	PERSON
ma-105	499	1	10.28924	CARDINAL
ma-105	502	1	e∗	ORG
ma-105	502	2	h∗	ORG
ma-105	502	3	6=	DATE
ma-105	502	4	1− η)l(h∗	PRODUCT
ma-105	502	5	0	CARDINAL
ma-105	502	6	1− η)l(h∗	PRODUCT
ma-105	502	7	0	CARDINAL
ma-105	502	8	1− ε)ki∗	LAW
ma-105	503	1	∗ −	ORG
ma-105	504	1	0	CARDINAL
ma-105	504	2	4.5	CARDINAL
ma-105	504	3	l(h	PRODUCT
ma-105	505	1	α0 +	DATE
ma-105	505	2	first	ORDINAL
ma-105	505	3	second	ORDINAL
ma-105	505	4	4.5	CARDINAL
ma-105	505	5	λ−	ORG
ma-105	506	1	0	CARDINAL
ma-105	507	1	4.6)as	CARDINAL
ma-105	507	2	second	ORDINAL
ma-105	507	3	third	ORDINAL
ma-105	507	4	4.5	CARDINAL
ma-105	507	5	1− ε)ki∗	LAW
ma-105	508	1	∗	CARDINAL
ma-105	508	2	0	CARDINAL
ma-105	508	3	∗	CARDINAL
ma-105	508	4	1− ε)k − u(α+ ρ	ORG
ma-105	508	5	∗	CARDINAL
ma-105	508	6	1− ε)k − u(α+ ρ	ORG
ma-105	508	7	4.7	CARDINAL
ma-105	508	8	4.6	CARDINAL
ma-105	509	1	4.7	CARDINAL
ma-105	509	2	4.5	CARDINAL
ma-105	509	3	1− η)l	TIME
ma-105	509	4	h∗	ORG
ma-105	509	5	λ−	ORG
ma-105	509	6	1− ε)k − u(α+ ρ	ORG
ma-105	509	7	1− ε)k − u(α+ ρ	ORG
ma-105	509	8	0	CARDINAL
ma-105	510	1	1− η	QUANTITY
ma-105	510	2	1−	ORDINAL
ma-105	511	1	h∗	ORG
ma-105	511	2	λ−	ORG
ma-105	511	3	1− ε)k − u(α+ ρ	ORG
ma-105	512	1	0	CARDINAL
ma-105	513	1	0	CARDINAL
ma-105	513	2	0	CARDINAL
ma-105	514	1	h∗ ≤ λ d	PRODUCT
ma-105	515	1	h∗	ORG
ma-105	516	1	0	CARDINAL
ma-105	517	1	1− η)γl	ORG
ma-105	517	2	λ− dx α	GPE
ma-105	517	3	1− ε)k − u(α+ ρ	ORG
ma-105	519	1	j. math	PERSON
ma-105	521	1	10.28924	CARDINAL
ma-105	522	1	1− η)γl	ORG
ma-105	522	2	0	DATE
ma-105	522	3	0	DATE
ma-105	522	4	1− η	QUANTITY
ma-105	523	1	1− ε)k − u(α+ ρ	ORG
ma-105	524	1	α0 +	DATE
ma-105	524	2	1− η)(1− ε)kβλ	LAW
ma-105	524	3	1	CARDINAL
ma-105	524	4	1− η)(1− ε)kβλ−	LAW
ma-105	524	5	1	CARDINAL
ma-105	524	6	1− η)(1− ε)kβλ−	LAW
ma-105	526	1	1	CARDINAL
ma-105	527	1	1	CARDINAL
ma-105	527	2	0	CARDINAL
ma-105	528	1	1	CARDINAL
ma-105	530	1	λ− d.x α	DATE
ma-105	530	2	1−	TIME
ma-105	532	1	λ− dx α	GPE
ma-105	532	2	1−	TIME
ma-105	534	1	1−	TIME
ma-105	535	1	1−	TIME
ma-105	537	1	3(1−	CARDINAL
ma-105	537	2	3(1−	CARDINAL
ma-105	538	1	α0 +	DATE
ma-105	539	1	2	CARDINAL
ma-105	539	2	0	CARDINAL
ma-105	539	3	0	CARDINAL
ma-105	540	1	1	CARDINAL
ma-105	540	2	e∗	ORG
ma-105	540	3	h∗	ORG
ma-105	540	4	h∗ ∈	ORG
ma-105	540	5	0	CARDINAL
ma-105	541	1	4.1	CARDINAL
ma-105	541	2	1	CARDINAL
ma-105	541	3	2.4	CARDINAL
ma-105	541	4	0	DATE
ma-105	541	5	0	CARDINAL
ma-105	542	1	2	CARDINAL
ma-105	542	2	1	CARDINAL
ma-105	542	3	0	CARDINAL
ma-105	542	4	2.4	CARDINAL
ma-105	542	5	e∗	ORG
ma-105	542	6	h∗	ORG
ma-105	542	7	h∗ ∈	ORG
ma-105	542	8	0	CARDINAL
ma-105	542	9	0	CARDINAL
ma-105	544	1	j. math	PERSON
ma-105	546	1	10.28924	CARDINAL
ma-105	546	2	4.1	CARDINAL
ma-105	548	1	2.4	CARDINAL
ma-105	549	1	1−	CARDINAL
ma-105	549	2	η)βhv	GPE
ma-105	551	1	1−	CARDINAL
ma-105	551	2	η)βhv	GPE
ma-105	552	1	0	CARDINAL
ma-105	552	2	η)βhv	GPE
ma-105	552	3	α0 +	DATE
ma-105	553	1	0	CARDINAL
ma-105	553	2	4.8	CARDINAL
ma-105	555	1	0	CARDINAL
ma-105	556	1	4.4	CARDINAL
ma-105	558	1	2.4	CARDINAL
ma-105	560	1	4.2	CARDINAL
ma-105	561	1	2.4	CARDINAL
ma-105	562	1	1	CARDINAL
ma-105	563	1	neu-mann	ORG
ma-105	564	1	1	CARDINAL
ma-105	564	2	2	DATE
ma-105	566	1	∈	ORG
ma-105	567	1	l=1 xl	PERSON
ma-105	569	1	2.4	CARDINAL
ma-105	574	1	1− η)βλ	TIME
ma-105	575	1	w3,	ORG
ma-105	576	1	∂w2	ORG
ma-105	576	2	− (α+ ρ)w2 +	ORG
ma-105	576	3	1− η)βλ α0 + α1λ	TIME
ma-105	576	4	w3	PRODUCT
ma-105	576	5	4.9	CARDINAL
ma-105	577	1	1−	CARDINAL
ma-105	577	2	1−	TIME
ma-105	578	1	w3	PERSON
ma-105	579	1	j. math	PERSON
ma-105	581	1	10.28924	CARDINAL
ma-105	582	1	4.9	CARDINAL
ma-105	586	1	1−η)βλ α0+α1λ	QUANTITY
ma-105	586	2	1−η)βλ α0+α1λ w3	QUANTITY
ma-105	586	3	1−	CARDINAL
ma-105	586	4	1−η)βλ α0+α1λ	QUANTITY
ma-105	586	5	w3	CARDINAL
ma-105	587	1	4.10	CARDINAL
ma-105	587	2	each l ≥ 1	DATE
ma-105	587	3	xl	ORG
ma-105	588	1	some l ≥ 1	DATE
ma-105	589	1	det	PERSON
ma-105	590	1	−	PERSON
ma-105	591	1	1−η)βλ	CARDINAL
ma-105	593	1	1−η)βλ	CARDINAL
ma-105	593	2	1−	ORDINAL
ma-105	593	3	1−η)βλ α0+α1λ	QUANTITY
ma-105	597	1	1−	TIME
ma-105	598	1	0	CARDINAL
ma-105	598	2	4.11	CARDINAL
ma-105	598	3	4.11	CARDINAL
ma-105	601	1	1−	TIME
ma-105	603	1	−	PERSON
ma-105	604	1	0	CARDINAL
ma-105	604	2	4.12	CARDINAL
ma-105	605	1	1−	TIME
ma-105	607	1	1−	TIME
ma-105	609	1	−	PERSON
ma-105	611	1	µld2	PERSON
ma-105	611	2	1−	TIME
ma-105	613	1	µ+ u	ORG
ma-105	613	2	1−	TIME
ma-105	615	1	−	PERSON
ma-105	616	1	µld2	PERSON
ma-105	616	2	1−	TIME
ma-105	618	1	1− ε)(1−	LAW
ma-105	619	1	j. math	PERSON
ma-105	621	1	10.28924	CARDINAL
ma-105	621	2	µld2	PERSON
ma-105	621	3	1−	TIME
ma-105	624	1	1−r0	CARDINAL
ma-105	625	1	0	CARDINAL
ma-105	626	1	routh-hurwitz	ORG
ma-105	626	2	4.12	CARDINAL
ma-105	628	1	0	DATE
ma-105	628	2	0	DATE
ma-105	628	3	2.4	CARDINAL
ma-105	628	4	1	CARDINAL
ma-105	628	5	1	CARDINAL
ma-105	629	1	1−r0	CARDINAL
ma-105	630	1	4.12	CARDINAL
ma-105	630	2	routh-hurwitz	PERSON
ma-105	631	1	0	DATE
ma-105	631	2	0	DATE
ma-105	631	3	2.4)is	CARDINAL
ma-105	632	1	4.2	CARDINAL
ma-105	632	2	4.5	CARDINAL
ma-105	634	1	2.4	CARDINAL
ma-105	636	1	1− ε)k(1−	DATE
ma-105	638	1	1− ε)k(1−	DATE
ma-105	638	2	r0 ≤ τ0.we	ORG
ma-105	638	3	4.3	CARDINAL
ma-105	639	1	2.4	CARDINAL
ma-105	640	1	1− ε)k α+	ORG
ma-105	642	1	g1	ORG
ma-105	642	2	1−	ORDINAL
ma-105	643	1	1−	ORDINAL
ma-105	643	2	1	CARDINAL
ma-105	645	1	j. math	PERSON
ma-105	647	1	10.28924	CARDINAL
ma-105	648	1	σ	ORG
ma-105	649	1	1−	ORDINAL
ma-105	650	1	1−	TIME
ma-105	651	1	1−	ORDINAL
ma-105	651	2	− 1)µv	PERSON
ma-105	652	1	∫ ω g1dx	ORG
ma-105	654	1	∫ ω g1dx	ORG
ma-105	654	2	≤ ∫ ω	ORG
ma-105	655	1	0	CARDINAL
ma-105	656	1	2.4	CARDINAL
ma-105	656	2	e={(h	PERSON
ma-105	660	1	0	CARDINAL
ma-105	662	1	0	CARDINAL
ma-105	663	1	0	CARDINAL
ma-105	663	2	lyapunov-lasalle invariance	ORG
ma-105	664	1	27	CARDINAL
ma-105	665	1	2.4	CARDINAL
ma-105	665	2	4.3	CARDINAL
ma-105	665	3	4.6	CARDINAL
ma-105	667	1	e∗	GPE
ma-105	667	2	ω	ORDINAL
ma-105	667	3	neumann	ORG
ma-105	667	4	µlin	PERSON
ma-105	668	1	1	CARDINAL
ma-105	668	2	2	DATE
ma-105	669	1	∈	ORG
ma-105	670	1	l=1 xl	PERSON
ma-105	672	1	w3 = v	PERSON
ma-105	674	1	e∗	GPE
ma-105	676	1	j. math	PERSON
ma-105	678	1	10.28924	CARDINAL
ma-105	682	1	aw1	DATE
ma-105	683	1	1−	CARDINAL
ma-105	683	2	4.13	CARDINAL
ma-105	683	3	1− η)(α0 + α2v	MONEY
ma-105	683	4	α0 + α1h∗ + α2v	DATE
ma-105	683	5	1− η)(α0 +	MONEY
ma-105	683	6	α0 +	DATE
ma-105	684	1	each l ≥ 1	DATE
ma-105	684	2	xl	ORG
ma-105	684	3	λ̃	GPE
ma-105	684	4	some l ≥ 1	DATE
ma-105	685	1	det	PERSON
ma-105	686	1	ρ)−	CARDINAL
ma-105	686	2	−ua	PERSON
ma-105	686	3	1−	ORDINAL
ma-105	687	1	λ̃3 +	ORG
ma-105	687	2	2 + a1λ̃+	QUANTITY
ma-105	687	3	0	CARDINAL
ma-105	687	4	4.14	CARDINAL
ma-105	687	5	µld2 + α+	ORG
ma-105	687	6	ub	ORG
ma-105	691	1	ρ)(µld3 +	DATE
ma-105	692	1	routh-hurwitz	ORG
ma-105	692	2	4.14	CARDINAL
ma-105	693	1	4.4	CARDINAL
ma-105	694	1	e∗	ORG
ma-105	695	1	h∗	ORG
ma-105	695	2	2.4	CARDINAL
ma-105	696	1	4.7	CARDINAL
ma-105	697	1	e∗	GPE
ma-105	697	2	pde system	ORG
ma-105	697	3	2.4	CARDINAL
ma-105	699	1	15	CARDINAL
ma-105	700	1	1	CARDINAL
ma-105	703	1	4.5	CARDINAL
ma-105	704	1	e∗	GPE
ma-105	704	2	2.4	CARDINAL
ma-105	706	1	j. math	PERSON
ma-105	708	1	10.28924	CARDINAL
ma-105	709	1	first	ORDINAL
ma-105	711	1	− ∫ h h∗	ORG
ma-105	711	2	ρ)i∗	MONEY
ma-105	711	3	1−η)βτv ∗	MONEY
ma-105	711	4	1+α1τ)(1+α2v ∗	CARDINAL
ma-105	715	1	∗	CARDINAL
ma-105	715	2	1−η)βτh∗	CARDINAL
ma-105	715	3	1+α1h∗)(1+α2τ	CARDINAL
ma-105	716	1	dg2	PERSON
ma-105	719	1	1−	NORP
ma-105	719	2	1 + α1h)(1 +	DATE
ma-105	719	3	1− η)βhv ∗	PRODUCT
ma-105	720	1	1− η)βhv	PRODUCT
ma-105	720	2	1 + α1h)(1 +	DATE
ma-105	722	1	1− η)βhv	PRODUCT
ma-105	722	2	1 + α1h)(1 +	DATE
ma-105	722	3	1−	ORDINAL
ma-105	722	4	∗	CARDINAL
ma-105	722	5	1−	ORDINAL
ma-105	723	1	1−	ORDINAL
ma-105	723	2	∗	CARDINAL
ma-105	725	1	1−	ORDINAL
ma-105	725	2	∗	CARDINAL
ma-105	725	3	dg2	PERSON
ma-105	728	1	ρ)i∗	MONEY
ma-105	728	2	1 +	DATE
ma-105	728	3	1− η)βhv ∗	PRODUCT
ma-105	728	4	1− η)βhv	PRODUCT
ma-105	728	5	1 + α1h)(1 +	DATE
ma-105	729	1	η	PERSON
ma-105	729	2	∗)(1+α2v	DATE
ma-105	729	3	1−η)h∗v ∗	QUANTITY
ma-105	729	4	1 +	DATE
ma-105	730	1	∗	CARDINAL
ma-105	730	2	1−	ORDINAL
ma-105	730	3	∗	CARDINAL
ma-105	732	1	h∗	ORG
ma-105	732	2	1 + α1h	DATE
ma-105	732	3	1 + α1h	DATE
ma-105	732	4	1 + α1h	DATE
ma-105	732	5	1 + α2v ∗ 1 + α2v	QUANTITY
ma-105	732	6	1 + α1h	DATE
ma-105	733	1	1−	CARDINAL
ma-105	733	2	1 + α1h	DATE
ma-105	735	1	j. math	PERSON
ma-105	737	1	10.28924	CARDINAL
ma-105	737	2	1−	ORDINAL
ma-105	737	3	− h∗	PERSON
ma-105	737	4	1 + α1h	DATE
ma-105	738	1	1−	CARDINAL
ma-105	738	2	1 + α1h	DATE
ma-105	740	1	1 + α2v ∗ 1 + α2v	QUANTITY
ma-105	747	1	− h∗	PERSON
ma-105	748	1	− h∗	PERSON
ma-105	751	1	1 + α2v ∗ 1 + α2v + 1 + α2v 1 + α2v ∗	QUANTITY
ma-105	752	1	4− h∗	ORG
ma-105	752	2	1 + α1h	DATE
ma-105	752	3	1 + α1h	DATE
ma-105	753	1	∗	CARDINAL
ma-105	753	2	1 + α2v 1 + α2v ∗	DATE
ma-105	756	1	− h∗	PERSON
ma-105	757	1	− h∗	PERSON
ma-105	758	1	h∗ h	ORG
ma-105	760	1	dg2	PERSON
ma-105	766	1	4− h∗	ORG
ma-105	766	2	1 + α1h	DATE
ma-105	766	3	1 + α1h	DATE
ma-105	767	1	∗	CARDINAL
ma-105	767	2	1 + α2v 1 + α2v ∗	DATE
ma-105	768	1	4− h∗	ORG
ma-105	768	2	1 + α1h	DATE
ma-105	768	3	1 + α1h	DATE
ma-105	769	1	∗	CARDINAL
ma-105	769	2	1 + α2v 1 + α2v ∗	DATE
ma-105	770	1	dg2	PERSON
ma-105	771	1	dg2	PERSON
ma-105	772	1	0	CARDINAL
ma-105	774	1	lyapunov-lasalle invariance	ORG
ma-105	774	2	27	CARDINAL
ma-105	774	3	15	CARDINAL
ma-105	775	1	2.4	CARDINAL
ma-105	775	2	e∗	ORG
ma-105	776	1	theo-rem 4.5	PERSON
ma-105	776	2	5	CARDINAL
ma-105	777	1	2.4	CARDINAL
ma-105	777	2	ω	CARDINAL
ma-105	777	3	1	CARDINAL
ma-105	777	4	neumann	ORG
ma-105	778	1	0	CARDINAL
ma-105	778	2	0	CARDINAL
ma-105	778	3	0	CARDINAL
ma-105	778	4	1	CARDINAL
ma-105	778	5	5.1	CARDINAL
ma-105	778	6	0	DATE
ma-105	778	7	5	CARDINAL
ma-105	778	8	i(x	GPE
ma-105	778	9	0	DATE
ma-105	778	10	5	CARDINAL
ma-105	778	11	5	CARDINAL
ma-105	778	12	5.2	CARDINAL
ma-105	779	1	j. math	PERSON
ma-105	781	1	10.28924	CARDINAL
ma-105	781	2	0	DATE
ma-105	781	3	15	CARDINAL
ma-105	781	4	0	DATE
ma-105	781	5	5	CARDINAL
ma-105	781	6	5	CARDINAL
ma-105	782	1	5.3)now	CARDINAL
ma-105	782	2	2.4)as	CARDINAL
ma-105	782	3	50	CARDINAL
ma-105	782	4	5	CARDINAL
ma-105	782	5	0	CARDINAL
ma-105	782	6	01	DATE
ma-105	782	7	0	CARDINAL
ma-105	782	8	05	DATE
ma-105	782	9	0	CARDINAL
ma-105	782	10	1	CARDINAL
ma-105	782	11	0, 00004	DATE
ma-105	782	12	0	CARDINAL
ma-105	782	13	03	DATE
ma-105	782	14	0	CARDINAL
ma-105	782	15	5	CARDINAL
ma-105	782	16	0	CARDINAL
ma-105	782	17	2	CARDINAL
ma-105	782	18	0	CARDINAL
ma-105	782	19	1	CARDINAL
ma-105	782	20	20	CARDINAL
ma-105	782	21	1	CARDINAL
ma-105	782	22	0	CARDINAL
ma-105	782	23	24	CARDINAL
ma-105	782	24	1	CARDINAL
ma-105	783	1	0.943361	CARDINAL
ma-105	784	1	2.4	CARDINAL
ma-105	784	2	10	CARDINAL
ma-105	784	3	0	DATE
ma-105	785	1	4.3 e0	QUANTITY
ma-105	786	1	1	CARDINAL
ma-105	787	1	1	CARDINAL
ma-105	787	2	2.4	CARDINAL
ma-105	787	3	neumann	ORG
ma-105	787	4	5.1	CARDINAL
ma-105	787	5	5.2	CARDINAL
ma-105	787	6	2.4	CARDINAL
ma-105	787	7	50	CARDINAL
ma-105	787	8	5	CARDINAL
ma-105	787	9	0	CARDINAL
ma-105	787	10	01	DATE
ma-105	787	11	0	CARDINAL
ma-105	787	12	05	DATE
ma-105	787	13	0	CARDINAL
ma-105	787	14	1	CARDINAL
ma-105	787	15	0, 00004	DATE
ma-105	787	16	0	CARDINAL
ma-105	787	17	5	CARDINAL
ma-105	787	18	1	CARDINAL
ma-105	787	19	0	CARDINAL
ma-105	787	20	1	CARDINAL
ma-105	787	21	0	CARDINAL
ma-105	787	22	0	CARDINAL
ma-105	787	23	03	DATE
ma-105	787	24	2	CARDINAL
ma-105	787	25	2	CARDINAL
ma-105	787	26	0	CARDINAL
ma-105	787	27	24	CARDINAL
ma-105	787	28	1	CARDINAL
ma-105	787	29	6.25009	MONEY
ma-105	788	1	2.4	CARDINAL
ma-105	788	2	e∗	ORG
ma-105	788	3	5	CARDINAL
ma-105	788	4	500	CARDINAL
ma-105	788	5	235	CARDINAL
ma-105	790	1	j. math	PERSON
ma-105	792	1	10.28924	CARDINAL
ma-105	792	2	4.5 e∗	PERCENT
ma-105	793	1	2	CARDINAL
ma-105	794	1	2	CARDINAL
ma-105	795	1	2.4	CARDINAL
ma-105	795	2	neumann	ORG
ma-105	795	3	5.1	CARDINAL
ma-105	795	4	5.3	CARDINAL
ma-105	795	5	6	CARDINAL
ma-105	799	1	first	ORDINAL
ma-105	799	2	2.4	CARDINAL
ma-105	800	1	secondly	ORDINAL
ma-105	802	1	j. math	PERSON
ma-105	804	1	10.28924	CARDINAL
ma-105	808	1	1	CARDINAL
ma-105	811	1	appendix a. proof	PERSON
ma-105	811	2	3.8	CARDINAL
ma-105	811	3	3 4	CARDINAL
ma-105	811	4	1	CARDINAL
ma-105	811	5	d(hβ	NORP
ma-105	811	6	3.3.for	CARDINAL
ma-105	811	7	0	CARDINAL
ma-105	812	1	0	CARDINAL
ma-105	812	2	i0	GPE
ma-105	814	1	3.1	CARDINAL
ma-105	815	1	2‖i1	CARDINAL
ma-105	815	2	3‖v1	CARDINAL
ma-105	816	1	g(t	PERSON
ma-105	817	1	2‖i1	CARDINAL
ma-105	817	2	3‖v1	CARDINAL
ma-105	818	1	v1)−q(t	PERSON
ma-105	818	2	1‖h1	CARDINAL
ma-105	819	1	2‖i1	CARDINAL
ma-105	819	2	3‖v1	CARDINAL
ma-105	820	1	0	CARDINAL
ma-105	820	2	i0	GPE
ma-105	820	3	j = 1	PERSON
ma-105	820	4	2	DATE
ma-105	820	5	3	CARDINAL
ma-105	821	1	i0	GPE
ma-105	822	1	0	CARDINAL
ma-105	823	1	0	CARDINAL
ma-105	824	1	0	CARDINAL
ma-105	826	1	qy2(t	PERSON
ma-105	830	1	− τ)g(t	PERSON
ma-105	832	1	− τ)q(t	PERSON
ma-105	834	1	y1(0	PERSON
ma-105	834	2	y3(0))‖2	DATE
ma-105	834	3	y3(0))‖2	DATE
ma-105	834	4	m3	CARDINAL
ma-105	834	5	y1(0	PERSON
ma-105	834	6	y3(0))‖2	DATE
ma-105	834	7	0 ≤	MONEY
ma-105	835	1	j. math	PERSON
ma-105	837	1	10.28924	CARDINAL
ma-105	837	2	1 + r0k	QUANTITY
ma-105	837	3	2 + r0k	QUANTITY
ma-105	837	4	3	CARDINAL
ma-105	838	1	4	CARDINAL
ma-105	838	2	1	CARDINAL
ma-105	838	3	2	DATE
ma-105	838	4	3	DATE
ma-105	838	5	2	CARDINAL
ma-105	838	6	3.5	CARDINAL
ma-105	838	7	zero	CARDINAL
ma-105	838	8	1	CARDINAL
ma-105	838	9	g2(h	PERSON
ma-105	838	10	0	CARDINAL
ma-105	839	1	1	CARDINAL
ma-105	840	1	two	CARDINAL
ma-105	840	2	i0	GPE
ma-105	840	3	i0	GPE
ma-105	840	4	i0	GPE
ma-105	840	5	∈	ORG
ma-105	840	6	i0	GPE
ma-105	841	1	2	CARDINAL
ma-105	841	2	3.5	CARDINAL
ma-105	845	1	i(τ	ORG
ma-105	845	2	d(hβ	NORP
ma-105	847	1	i(τ	ORG
ma-105	847	2	τ))‖d(hβ)dτ	GPE
ma-105	849	1	i(τ	ORG
ma-105	849	2	2	CARDINAL
ma-105	851	1	i(τ	ORG
ma-105	851	2	i0	GPE
ma-105	852	1	i0	GPE
ma-105	852	2	2	CARDINAL
ma-105	855	1	i(τ	ORG
ma-105	855	2	i0	GPE
ma-105	855	3	2 + ∥∥∥f(τ	PERCENT
ma-105	855	4	i0	GPE
ma-105	855	5	2	CARDINAL
ma-105	857	1	1	CARDINAL
ma-105	857	2	2	CARDINAL
ma-105	857	3	3	CARDINAL
ma-105	858	1	1	CARDINAL
ma-105	858	2	2	CARDINAL
ma-105	858	3	3	CARDINAL
ma-105	860	1	0 ≤	MONEY
ma-105	860	2	‖qi(t)−	ORG
ma-105	860	3	t)− v0‖d(hβ	ORG
ma-105	860	4	i0	GPE
ma-105	861	1	1	CARDINAL
ma-105	861	2	corol-lary 3.5	ORG
ma-105	861	3	3.6	CARDINAL
ma-105	862	1	j. math	PERSON
ma-105	864	1	10.28924	CARDINAL
ma-105	866	1	0	CARDINAL
ma-105	867	1	i(τ	ORG
ma-105	867	2	− ∫	ORG
ma-105	868	1	i(τ	ORG
ma-105	868	2	d(hβ	NORP
ma-105	869	1	i(τ	ORG
ma-105	869	2	i(τ	ORG
ma-105	871	1	i(τ	ORG
ma-105	871	2	d(hβ	NORP
ma-105	872	1	i(τ	ORG
ma-105	872	2	i(τ	ORG
ma-105	872	3	d(hβ	NORP
ma-105	873	1	3.6	CARDINAL
ma-105	873	2	‖ph(t	LOC
ma-105	874	1	0,t	CARDINAL
ma-105	874	2	i0	GPE
ma-105	874	3	i0	GPE
ma-105	875	1	‖py1(t)−	ORG
ma-105	877	1	f(τ	GPE
ma-105	877	2	d(hβ	NORP
ma-105	879	1	f(τ	GPE
ma-105	880	1	d(hβ	NORP
ma-105	883	1	2	CARDINAL
ma-105	887	1	1 sup	CARDINAL
ma-105	888	1	2	CARDINAL
ma-105	888	2	3	CARDINAL
ma-105	893	1	j. math	PERSON
ma-105	895	1	10.28924	CARDINAL
ma-105	895	2	1 +k1 2 +k1	QUANTITY
ma-105	895	3	3 + m1 r0	QUANTITY
ma-105	902	1	1 +k1 2 +k1	QUANTITY
ma-105	902	2	3 + m1 r0	QUANTITY
ma-105	904	1	1	CARDINAL
ma-105	904	2	4	CARDINAL
ma-105	906	1	0	CARDINAL
ma-105	910	1	≤ 1 4	PERCENT
ma-105	912	1	−qz2‖d(hβ	PERSON
ma-105	913	1	−qz2‖d(hβ	PERSON
ma-105	915	1	z3(t))‖d(hβ)3	PERSON
ma-105	916	1	i0	GPE
ma-105	917	1	tobanach	PERSON
ma-105	917	2	i0	GPE
ma-105	918	1	2.4	CARDINAL
ma-105	918	2	0,t	CARDINAL
ma-105	919	1	i0	GPE
ma-105	919	2	3.8	CARDINAL
ma-105	921	1	j. math	PERSON
ma-105	923	1	10.28924	CARDINAL
ma-105	923	2	3.11	CARDINAL
ma-105	923	3	first	ORDINAL
ma-105	924	1	3.10	CARDINAL
ma-105	924	2	wmi	ORG
ma-105	924	3	wi	ORG
ma-105	924	4	wmi → wi in c0([0	ORG
ma-105	924	5	wi	GPE
ma-105	926	1	wmi	ORG
ma-105	926	2	of〈∂wmi ∂t	PERSON
ma-105	926	3	vi 〉	PERSON
ma-105	926	4	vi	PERSON
ma-105	926	5	vi	PERSON
ma-105	927	1	vi 〉	PERSON
ma-105	927	2	φ ∈	PERSON
ma-105	927	3	d((0	PERSON
ma-105	928	1	∈ l2((0	ORG
ma-105	928	2	0	CARDINAL
ma-105	929	1	second	ORDINAL
ma-105	929	2	l2((0	GPE
ma-105	929	3	e′	GPE
ma-105	930	1	third	ORDINAL
ma-105	930	2	c([0	GPE
ma-105	931	1	l2((0	GPE
ma-105	931	2	wmi → wi in c0([0	ORG
ma-105	931	3	∂wi	PERSON
ma-105	931	4	d′((0	ORG
ma-105	931	5	∂wi	PERSON
ma-105	931	6	l2((0	GPE
ma-105	931	7	0	CARDINAL
ma-105	932	1	0	CARDINAL
ma-105	932	2	qi(w)wi	GPE
ma-105	935	1	b.3	GPE
ma-105	935	2	one has〈∂wi	CARDINAL
ma-105	935	3	vi 〉	PERSON
ma-105	935	4	qi(w)wi	GPE
ma-105	935	5	vi	PERSON
ma-105	936	1	vi 〉	PERSON
ma-105	936	2	wi	GPE
ma-105	936	3	vi	PERSON
ma-105	937	1	qi(w)wi	GPE
ma-105	937	2	vi	PERSON
ma-105	938	1	vi 〉	PERSON
ma-105	938	2	∂wi	PERSON
ma-105	938	3	l2((0	GPE
ma-105	938	4	e′	GPE
ma-105	940	1	j. math	PERSON
ma-105	942	1	10.28924	CARDINAL
ma-105	942	2	3.27	CARDINAL
ma-105	942	3	3.28	CARDINAL
ma-105	942	4	wmi	ORG
ma-105	943	1	− s)(−qi(wm−1)wmi +	PERSON
ma-105	943	2	m−1))(s)ds	GPE
ma-105	943	3	m−1	PERSON
ma-105	943	4	3.29	CARDINAL
ma-105	945	1	3.21	CARDINAL
ma-105	946	1	vi ∈ w	ORG
ma-105	946	2	0	CARDINAL
ma-105	946	3	vi ∈ c0([0	ORG
ma-105	947	1	∈ l2((0	ORG
ma-105	947	2	e′	GPE
ma-105	948	1	2.11	CARDINAL
ma-105	948	2	12	CARDINAL
ma-105	951	1	wi(t)−	GPE
ma-105	953	1	fi(w)−	PERSON
ma-105	954	1	qi(w)wi	GPE
ma-105	954	2	− vi	PERSON
ma-105	955	1	wi	GPE
ma-105	955	2	one	CARDINAL
ma-105	955	3	has∥∥∥∥∥ wj	PERSON
ma-105	955	4	α0 + α1wk +	DATE
ma-105	957	1	3∑	CARDINAL
ma-105	957	2	0	CARDINAL
ma-105	958	1	j. math	PERSON
ma-105	960	1	10.28924	CARDINAL
ma-105	960	2	1	CARDINAL
ma-105	960	3	2	DATE
ma-105	960	4	3	DATE
ma-105	963	1	wj − vj)wk	ORG
ma-105	963	2	0	CARDINAL
ma-105	964	1	≤ m2	QUANTITY
ma-105	964	2	3∑	CARDINAL
ma-105	965	1	0	CARDINAL
ma-105	966	1	3∑	CARDINAL
ma-105	967	1	nj	ORG
ma-105	967	2	0	CARDINAL
ma-105	967	3	0	CARDINAL
ma-105	968	1	3∑	CARDINAL
ma-105	968	2	3∑	CARDINAL
ma-105	970	1	m2‖w	CARDINAL
ma-105	971	1	2 2	CARDINAL
ma-105	971	2	3∑	CARDINAL
ma-105	971	3	mn	ORG
ma-105	972	1	lim n→+∞ mn n!	ORG
ma-105	973	1	0	CARDINAL
ma-105	975	1	3.11	CARDINAL
ma-105	976	1	the university of maroua	ORG
ma-105	978	1	contributiona	GPE
ma-105	981	1	b. nde	PERSON
ma-105	981	2	two	CARDINAL
ma-105	981	3	mathematica	PERSON
ma-105	984	1	j. math	PERSON
ma-105	986	1	10.28924	CARDINAL
ma-105	986	2	1	CARDINAL
ma-105	986	3	adams	ORG
ma-105	986	4	new york	GPE
ma-105	986	5	1975).[2	CARDINAL
ma-105	986	6	quasilinear	ORG
ma-105	986	7	i.	PERSON
ma-105	987	1	12	CARDINAL
ma-105	987	2	895–919	DATE
ma-105	988	1	quasilinear parabolic systems	ORG
ma-105	988	2	z. 202	PERSON
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ma-105	988	4	219–250	CARDINAL
ma-105	989	1	1007	DATE
ma-105	989	2	h. amann	PERSON
ma-105	989	3	quasilinear	ORG
ma-105	991	1	13-75.[5	CARDINAL
ma-105	991	2	j.r. beddington	PERSON
ma-105	991	3	j. animalecol	PERSON
ma-105	992	1	44	DATE
ma-105	992	2	1975	DATE
ma-105	993	1	331	CARDINAL
ma-105	994	1	a. chatterjee	PERSON
ma-105	994	2	j. guedj	PERSON
ma-105	994	3	a.s. perelson	PERSON
ma-105	997	1	17	CARDINAL
ma-105	997	2	2012) 1171–1182	DATE
ma-105	998	1	chong	GPE
ma-105	998	2	m. shahrill	PERSON
ma-105	998	3	l. crossley	PERSON
ma-105	1000	1	sci	ORG
ma-105	1000	2	9 (2015	CARDINAL
ma-105	1000	3	250	CARDINAL
ma-105	1001	1	s.m. ciupe	GPE
ma-105	1001	2	ribeiro	PERSON
ma-105	1001	3	nelson	PERSON
ma-105	1001	4	a.s. perelson	PERSON
ma-105	1001	5	j. theor	PERSON
ma-105	1003	1	247	CARDINAL
ma-105	1003	2	2007	DATE
ma-105	1004	1	crowley	PERSON
ma-105	1004	2	martin	PERSON
ma-105	1004	3	between year	DATE
ma-105	1004	4	j. north amer	PERSON
ma-105	1006	1	8 (1989	DATE
ma-105	1006	2	211–221	CARDINAL
ma-105	1007	1	h. dahari	PERSON
ma-105	1007	2	ribeiro	PERSON
ma-105	1007	3	a.s. perelson	PERSON
ma-105	1007	4	hepa	ORG
ma-105	1008	1	46	DATE
ma-105	1008	2	2007	DATE
ma-105	1008	3	16–21	CARDINAL
ma-105	1009	1	d.l. deangelis	PERSON
ma-105	1009	2	r.a. goldstein	PERSON
ma-105	1009	3	r.v. o’neill	GPE
ma-105	1010	1	56	CARDINAL
ma-105	1010	2	1975	DATE
ma-105	1012	1	https	PERSON
ma-105	1012	2	c. goudjo	PERSON
ma-105	1012	3	b. lèye	PERSON
ma-105	1012	4	m. sy	PERSON
ma-105	1013	1	j. differ	PERSON
ma-105	1014	1	2011	DATE
ma-105	1016	1	s.a. gourley	PERSON
ma-105	1016	2	j. math	PERSON
ma-105	1018	1	44 (2002	DATE
ma-105	1018	2	49–78	CARDINAL
ma-105	1018	3	j. guedj	PERSON
ma-105	1018	4	a.u. neumann	PERSON
ma-105	1018	5	j. theor	PERSON
ma-105	1020	1	267	CARDINAL
ma-105	1020	2	2010	DATE
ma-105	1020	3	330–340	CARDINAL
ma-105	1021	1	k. hattaf	PERSON
ma-105	1021	2	n. yousfi	PERSON
ma-105	1023	1	66	CARDINAL
ma-105	1023	2	2013)1488–1497	CARDINAL
ma-105	1025	1	k. hattaf	PERSON
ma-105	1025	2	n. yousfi	PERSON
ma-105	1025	3	j. egypt	GPE
ma-105	1027	1	2014	DATE
ma-105	1027	2	386–389	CARDINAL
ma-105	1028	1	k. hattaf	PERSON
ma-105	1028	2	n. yousfi	PERSON
ma-105	1030	1	34	CARDINAL
ma-105	1031	1	807–818	DATE
ma-105	1032	1	https://doi.org/10.1007/s40314-014-0143-x.[18	ORG
ma-105	1032	2	k. hattaf	PERSON
ma-105	1032	3	n. yousfi	PERSON
ma-105	1033	1	j. dynam	PERSON
ma-105	1035	1	4 (2015	CARDINAL
ma-105	1035	2	254–265	CARDINAL
ma-105	1036	1	k. hattaf	PERSON
ma-105	1036	2	n. yousfi	PERSON
ma-105	1036	3	a. tridane	PERSON
ma-105	1038	1	13	CARDINAL
ma-105	1038	2	2012	DATE
ma-105	1038	3	1866–1872	DATE
ma-105	1040	1	12.015.[20	CARDINAL
ma-105	1040	2	k. hattaf	PERSON
ma-105	1040	3	n. yousfi	PERSON
ma-105	1040	4	a. tridane	PERSON
ma-105	1042	1	2013	DATE
ma-105	1042	2	181–190	CARDINAL
ma-105	1042	3	https://doi.org/10.1007/s12591-013-0167-5.[21]	PERSON
ma-105	1043	1	n. yousfi	PERSON
ma-105	1043	2	a. tridane	PERSON
ma-105	1044	1	comput	PERSON
ma-105	1045	1	221	CARDINAL
ma-105	1045	2	2013	DATE
ma-105	1046	1	514–521	CARDINAL
ma-105	1048	1	https://doi.org/10.3851/imp2428	NORP
ma-105	1049	1	https://doi.org/10.1155/2011/831436 https://doi.org/10.1007/s002850100109 https://doi.org/10.1016/j.jtbi.2010.08.036 https://doi.org/10.1016/j.camwa.2013.08.023	ORG
ma-105	1050	1	j. math	PERSON
ma-105	1052	1	10.28924	CARDINAL
ma-105	1053	1	22	CARDINAL
ma-105	1053	2	1st	ORDINAL
ma-105	1053	3	new york	GPE
ma-105	1053	4	1981).[23	CARDINAL
ma-105	1053	5	d. henry	PERSON
ma-105	1053	6	840	CARDINAL
ma-105	1053	7	new york	GPE
ma-105	1053	8	hollis	GPE
ma-105	1053	9	r.h. martin	PERSON
ma-105	1053	10	jr.	PERSON
ma-105	1053	11	m. pierre	PERSON
ma-105	1053	12	siam	GPE
ma-105	1055	1	18	CARDINAL
ma-105	1055	2	1987	DATE
ma-105	1056	1	744–761	DATE
ma-105	1057	1	g. huang	PERSON
ma-105	1057	2	w. ma	PERSON
ma-105	1057	3	y. takeuchi	PERSON
ma-105	1058	1	lett	PERSON
ma-105	1059	1	22	DATE
ma-105	1059	2	2009	DATE
ma-105	1059	3	1690–1693	CARDINAL
ma-105	1060	1	g. huang	PERSON
ma-105	1060	2	w. ma	PERSON
ma-105	1060	3	y. takeuchi	PERSON
ma-105	1061	1	lett	PERSON
ma-105	1062	1	24 (2011) 1199–1203	DATE
ma-105	1063	1	https://doi.org/10.1016/j.aml.2011.02.007.[27	ORG
ma-105	1063	2	h. khalil	PERSON
ma-105	1063	3	3rd	ORDINAL
ma-105	1064	1	prentice hall	ORG
ma-105	1064	2	new york	GPE
ma-105	1064	3	2002).[28	CARDINAL
ma-105	1064	4	d. li	PERSON
ma-105	1064	5	w. ma	PERSON
ma-105	1064	6	j. math	PERSON
ma-105	1067	1	335	CARDINAL
ma-105	1068	1	l. min	PERSON
ma-105	1068	2	y. su	PERSON
ma-105	1068	3	y. kuang	PERSON
ma-105	1070	1	38 (2008	DATE
ma-105	1070	2	1573-1585	DATE
ma-105	1071	1	https://www.jstor.org/stable/44239519.[30	PERSON
ma-105	1071	2	neumann	ORG
ma-105	1071	3	n.p.	GPE
ma-105	1071	4	lam, h. dahari	PERSON
ma-105	1073	1	282	CARDINAL
ma-105	1073	2	1998	DATE
ma-105	1074	1	103–107	CARDINAL
ma-105	1075	1	https://doi.org/10.1126/science.282.5386.103.[31] m.a. nowak	PERSON
ma-105	1075	2	bangham	PERSON
ma-105	1076	1	272	CARDINAL
ma-105	1076	2	1996)74–79	CARDINAL
ma-105	1077	1	nowak	PERSON
ma-105	1077	2	s. bonhoeffer	PERSON
ma-105	1077	3	a.m. hill	PERSON
ma-105	1079	1	acad.	ORG
ma-105	1081	1	93	CARDINAL
ma-105	1081	2	4398–4402	DATE
ma-105	1082	1	h.p. weinberger	PERSON
ma-105	1082	2	prentice-hall	ORG
ma-105	1082	3	englewood cliffs	GPE
ma-105	1082	4	1967).[34	CARDINAL
ma-105	1082	5	d. riad	PERSON
ma-105	1082	6	k. hattaf	PERSON
ma-105	1082	7	n. yousfi	PERSON
ma-105	1083	1	j. math.computer sci.	PERSON
ma-105	1083	2	18	CARDINAL
ma-105	1083	3	2016	CARDINAL
ma-105	1083	4	https://doi.org/10.9734/bjmcs/2016/28640.[35	PERSON
ma-105	1083	5	l. rong	PERSON
ma-105	1083	6	a.s. perelson	GPE
ma-105	1083	7	biosc	PERSON
ma-105	1084	1	245	CARDINAL
ma-105	1084	2	2013	DATE
ma-105	1085	1	a.u	DATE
ma-105	1085	2	neumann	ORG
ma-105	1087	1	329	CARDINAL
ma-105	1087	2	2007)281–297	CARDINAL
ma-105	1088	1	j. appl	PERSON
ma-105	1089	1	70	CARDINAL
ma-105	1089	2	2009	DATE
ma-105	1090	1	188–211	CARDINAL
ma-105	1091	1	x. wang	PERSON
ma-105	1091	2	y. tao	PERSON
ma-105	1091	3	x. song	PERSON
ma-105	1092	1	66 (2011	DATE
ma-105	1093	1	825–830	CARDINAL
ma-105	1094	1	https://doi.org/10.1007/s11071-011-9954-0.[39] k. wang	ORG
ma-105	1094	2	w. wang	PERSON
ma-105	1095	1	biosci	PERSON
ma-105	1096	1	210	CARDINAL
ma-105	1096	2	2007	DATE
ma-105	1098	1	org/10.1016/j.mbs.2007.05.004.[40]	PRODUCT
ma-105	1098	2	w. wang	PERSON
ma-105	1098	3	x.q. zhao	PERSON
ma-105	1098	4	j. appl	PERSON
ma-105	1100	1	2012	DATE
ma-105	1101	1	https://doi.org/10.1137/120872942.[41	ORG
ma-105	1101	2	geneva	GPE
ma-105	1101	3	2017	DATE
ma-105	1102	1	29	CARDINAL
ma-105	1103	1	y. zhang	PERSON
ma-105	1103	2	z. xu	PERSON
ma-105	1103	3	15	CARDINAL
ma-105	1103	4	2014	DATE
ma-105	1103	5	118–139	CARDINAL
ma-105	1104	1	x. zhou	PERSON
ma-105	1104	2	j. cui	PERSON
ma-105	1104	3	crowley martin	PERSON
ma-105	1105	1	korean	NORP
ma-105	1106	1	48 (2011	DATE
ma-105	1106	2	555	CARDINAL
ma-105	1109	1	2	CARDINAL
ma-105	1109	2	2.1	CARDINAL
ma-105	1110	1	2.2	CARDINAL
ma-105	1111	1	2.3	CARDINAL
ma-105	1112	1	2.4	CARDINAL
ma-105	1113	1	3	CARDINAL
ma-105	1113	2	2.4	CARDINAL
ma-105	1113	3	3.1	CARDINAL
ma-105	1113	4	2.4	CARDINAL
ma-105	1113	5	3.2	CARDINAL
ma-105	1114	1	2.4	CARDINAL
ma-105	1114	2	3.3	CARDINAL
ma-105	1115	1	2.4	CARDINAL
ma-105	1115	2	4	CARDINAL
ma-105	1116	1	4.1	CARDINAL
ma-105	1118	1	4.3	CARDINAL
ma-105	1119	1	4.4	CARDINAL
ma-105	1120	1	4.5	CARDINAL
ma-105	1121	1	4.6	CARDINAL
ma-105	1122	1	4.7	CARDINAL
ma-105	1123	1	5	CARDINAL
ma-105	1123	2	6	CARDINAL
ma-105	1123	3	appendix a. proof	PERSON
ma-105	1123	4	3.8 appendix b. proof	QUANTITY
ma-105	1123	5	3.11	CARDINAL