id	sid	eid	entity	type
ma-168	1	1	2023	CARDINAL
ma-168	2	1	j. math	PERSON
ma-168	4	1	3 (	CARDINAL
ma-168	4	2	2023	CARDINAL
ma-168	4	3	22doi	CARDINAL
ma-168	4	4	10.28924	CARDINAL
ma-168	4	5	two	CARDINAL
ma-168	4	6	k. m. adeyemo	PERSON
ma-168	4	7	ogun state	GPE
ma-168	5	1	two	CARDINAL
ma-168	6	1	routh-hurwitz criteria	ORG
ma-168	8	1	1	CARDINAL
ma-168	8	2	2	CARDINAL
ma-168	9	1	one	CARDINAL
ma-168	10	1	africa	LOC
ma-168	11	1	workedon	GPE
ma-168	12	1	remme et al	PERSON
ma-168	13	1	10	CARDINAL
ma-168	13	2	west africa	GPE
ma-168	14	1	plaisieret al	PERSON
ma-168	15	1	9	CARDINAL
ma-168	16	1	1	CARDINAL
ma-168	17	1	asha hassan &	ORG
ma-168	18	1	3	CARDINAL
ma-168	18	2	four	CARDINAL
ma-168	18	3	four	CARDINAL
ma-168	18	4	three	CARDINAL
ma-168	20	1	27	CARDINAL
ma-168	20	2	2023	CARDINAL
ma-168	23	1	1	CARDINAL
ma-168	25	1	j. math	PERSON
ma-168	27	1	10.28924	CARDINAL
ma-168	27	2	2on	ORDINAL
ma-168	27	3	section 2	LAW
ma-168	27	4	section 3	LAW
ma-168	28	1	2	CARDINAL
ma-168	28	2	two	CARDINAL
ma-168	29	1	four	CARDINAL
ma-168	30	1	rh	ORG
ma-168	31	1	three	CARDINAL
ma-168	31	2	sv	ORG
ma-168	36	1	dsh(t	ORG
ma-168	37	1	1+νh(xi	DATE
ma-168	40	1	1+νh(xi	DATE
ma-168	42	1	−	GPE
ma-168	43	1	+ µh(xi))ih(t	PERSON
ma-168	47	1	1+νv	CARDINAL
ma-168	48	1	1+νv	CARDINAL
ma-168	48	2	αvev	ORG
ma-168	48	3	t)−	ORG
ma-168	48	4	2.1	CARDINAL
ma-168	48	5	i0h(xi	TIME
ma-168	48	6	i0	ORG
ma-168	48	7	2.2	CARDINAL
ma-168	49	1	j. math	PERSON
ma-168	51	1	10.28924	CARDINAL
ma-168	51	2	3	CARDINAL
ma-168	51	3	definitionss sh(t	PERSON
ma-168	54	1	1	CARDINAL
ma-168	55	1	disease.2	NORP
ma-168	63	1	2.1	CARDINAL
ma-168	64	1	2.1	CARDINAL
ma-168	66	1	ω	ORG
ma-168	67	1	sv	ORG
ma-168	67	2	ev	ORG
ma-168	68	1	nv ≤	ORG
ma-168	69	1	j. math	PERSON
ma-168	71	1	10.28924	CARDINAL
ma-168	71	2	×ωv ⊂	PERSON
ma-168	71	3	1	CARDINAL
ma-168	71	4	sv	ORG
ma-168	71	5	ev	ORG
ma-168	77	1	2.1	CARDINAL
ma-168	77	2	dnh(t	GPE
ma-168	80	1	2.3	CARDINAL
ma-168	81	1	dnv	ORG
ma-168	81	2	2.4)it	CARDINAL
ma-168	81	3	2.3	CARDINAL
ma-168	81	4	2.4	CARDINAL
ma-168	83	1	1−	LANGUAGE
ma-168	83	2	nv ≤	ORG
ma-168	84	1	1− e−µv	DATE
ma-168	85	1	0)e−µv	CARDINAL
ma-168	86	1	nv ≤	ORG
ma-168	88	1	ω	ORG
ma-168	93	1	nv	GPE
ma-168	93	2	nv	GPE
ma-168	93	3	2.1	CARDINAL
ma-168	93	4	ω	CARDINAL
ma-168	93	5	×ωv ⊂	PERSON
ma-168	93	6	+ 2it	DATE
ma-168	93	7	2.1	CARDINAL
ma-168	93	8	ω	GPE
ma-168	93	9	0	CARDINAL
ma-168	95	1	2	CARDINAL
ma-168	95	2	sv	ORG
ma-168	95	3	ev	ORG
ma-168	95	4	2.1	CARDINAL
ma-168	95	5	ω	GPE
ma-168	95	6	ω	GPE
ma-168	95	7	0	CARDINAL
ma-168	96	1	i0h(xi	GPE
ma-168	96	2	r0h(xi	PERSON
ma-168	96	3	2.1	CARDINAL
ma-168	96	4	dsh(t	ORG
ma-168	104	1	0	CARDINAL
ma-168	104	2	2.5	CARDINAL
ma-168	105	1	j. math	PERSON
ma-168	107	1	10.28924	CARDINAL
ma-168	107	2	2.5	CARDINAL
ma-168	109	1	1 +	QUANTITY
ma-168	109	2	0	CARDINAL
ma-168	109	3	∈	ORG
ma-168	110	1	1 +	QUANTITY
ma-168	113	1	deh(t	GPE
ma-168	114	1	i=0	ORG
ma-168	116	1	i=0 eh(t	GPE
ma-168	117	1	2.6	CARDINAL
ma-168	117	2	2.6	CARDINAL
ma-168	119	1	− l∑	ORG
ma-168	121	1	+ µh(xi))ih(t	PERSON
ma-168	125	1	2.7	CARDINAL
ma-168	125	2	2.7	CARDINAL
ma-168	128	1	0	CARDINAL
ma-168	129	1	∈	ORG
ma-168	131	1	2.1	CARDINAL
ma-168	135	1	l∑ i=0 rh(t	ORG
ma-168	135	2	xi)exp((µh(xi	PERSON
ma-168	136	1	2.8	CARDINAL
ma-168	136	2	2.8	CARDINAL
ma-168	136	3	0	CARDINAL
ma-168	137	1	∈	ORG
ma-168	137	2	i=0 r0h(xi)exp(−(µh(xi	GPE
ma-168	137	3	0	CARDINAL
ma-168	139	1	j. math	PERSON
ma-168	141	1	10.28924	CARDINAL
ma-168	141	2	ma.3.22 6hence	ORG
ma-168	144	1	i=0 bλv ih(t	ORG
ma-168	145	1	1	CARDINAL
ma-168	148	1	t)exp	ORG
ma-168	148	2	1 + νv	QUANTITY
ma-168	148	3	2.9	CARDINAL
ma-168	148	4	2.9	CARDINAL
ma-168	148	5	sv	ORG
ma-168	148	6	1	CARDINAL
ma-168	150	1	0	CARDINAL
ma-168	152	1	0)exp	DATE
ma-168	152	2	0	CARDINAL
ma-168	153	1	2.10	CARDINAL
ma-168	157	1	2.11	CARDINAL
ma-168	157	2	0	CARDINAL
ma-168	158	1	2 3	DATE
ma-168	159	1	3.1	CARDINAL
ma-168	161	1	2.1	CARDINAL
ma-168	161	2	6=	DATE
ma-168	162	1	0(xi	TIME
ma-168	163	1	0	CARDINAL
ma-168	163	2	0	CARDINAL
ma-168	163	3	2.1	CARDINAL
ma-168	167	1	0	CARDINAL
ma-168	167	2	0	DATE
ma-168	167	3	0	DATE
ma-168	167	4	0	DATE
ma-168	167	5	0	DATE
ma-168	167	6	3.1	CARDINAL
ma-168	167	7	2.1	CARDINAL
ma-168	168	1	j. math	PERSON
ma-168	170	1	10.28924	CARDINAL
ma-168	170	2	δαhλh(xi	PERSON
ma-168	174	1	rv	GPE
ma-168	175	1	rh	ORG
ma-168	175	2	one	CARDINAL
ma-168	175	3	rv	GPE
ma-168	175	4	one	CARDINAL
ma-168	176	1	3.2	CARDINAL
ma-168	178	1	2.1	CARDINAL
ma-168	179	1	3	CARDINAL
ma-168	179	2	1	CARDINAL
ma-168	180	1	jacobian	NORP
ma-168	180	2	2.1	CARDINAL
ma-168	180	3	m(e0	NORP
ma-168	183	1	0	CARDINAL
ma-168	185	1	0	CARDINAL
ma-168	185	2	0	CARDINAL
ma-168	185	3	0 0	EVENT
ma-168	185	4	0	CARDINAL
ma-168	185	5	− ∑l i=0	ORG
ma-168	186	1	m22	CARDINAL
ma-168	186	2	m27 = ∑l i=0	ORG
ma-168	191	1	m(e0	NORP
ma-168	192	1	fifth	ORDINAL
ma-168	192	2	two	CARDINAL
ma-168	192	3	five	CARDINAL
ma-168	192	4	m1(e0	PERSON
ma-168	192	5	first	ORDINAL
ma-168	192	6	fifth	ORDINAL
ma-168	192	7	m(e0	NORP
ma-168	193	1	m1(e0	PERSON
ma-168	194	1	′15	GPE
ma-168	195	1	0	CARDINAL
ma-168	195	2	0	CARDINAL
ma-168	196	1	0	CARDINAL
ma-168	196	2	third	ORDINAL
ma-168	196	3	m1(e0	GPE
ma-168	198	1	four	CARDINAL
ma-168	199	1	j. math	PERSON
ma-168	201	1	10.28924	CARDINAL
ma-168	204	1	0	CARDINAL
ma-168	208	1	3.2	CARDINAL
ma-168	210	1	4 +x3ξ	DATE
ma-168	211	1	2	CARDINAL
ma-168	212	1	0	CARDINAL
ma-168	212	2	3.3	CARDINAL
ma-168	213	1	1 x3	QUANTITY
ma-168	217	1	− ∑l i=0	ORG
ma-168	220	1	3.4	CARDINAL
ma-168	220	2	x0	ORG
ma-168	220	3	0	CARDINAL
ma-168	220	4	3.5	CARDINAL
ma-168	220	5	3.4	CARDINAL
ma-168	222	1	0	CARDINAL
ma-168	222	2	0	CARDINAL
ma-168	223	1	3.5	CARDINAL
ma-168	223	2	x0	ORG
ma-168	223	3	0	CARDINAL
ma-168	224	1	routh-hurwitz	ORG
ma-168	232	1	0	CARDINAL
ma-168	232	2	x3 x4 0	PERSON
ma-168	235	1	x3 x4	PERSON
ma-168	239	1	al ltheeigenvaluesof	PERSON
ma-168	240	1	1,we	CARDINAL
ma-168	240	2	x0	ORG
ma-168	240	3	one	CARDINAL
ma-168	240	4	2	CARDINAL
ma-168	241	1	j. math	PERSON
ma-168	243	1	10.28924	CARDINAL
ma-168	243	2	ma.3.22 93.3.	ORG
ma-168	245	1	2.1	CARDINAL
ma-168	247	1	4	CARDINAL
ma-168	247	2	2.1	CARDINAL
ma-168	247	3	1	CARDINAL
ma-168	248	1	s′′h(xi	NORP
ma-168	248	2	e ′′	ORG
ma-168	248	3	′′	ORG
ma-168	248	4	′′	ORG
ma-168	248	5	h(xi	PRODUCT
ma-168	248	6	′′	ORG
ma-168	248	7	′′	ORG
ma-168	249	1	′′	ORG
ma-168	251	1	2.1	CARDINAL
ma-168	252	1	′′	ORG
ma-168	252	2	1 +	DATE
ma-168	253	1	′′	ORG
ma-168	253	2	h(xi	PRODUCT
ma-168	254	1	0	CARDINAL
ma-168	254	2	3.6	CARDINAL
ma-168	255	1	′′	ORG
ma-168	255	2	1 +	DATE
ma-168	257	1	0	CARDINAL
ma-168	257	2	3.7	CARDINAL
ma-168	258	1	αh(xi)e ′′	ORG
ma-168	260	1	3.8	CARDINAL
ma-168	261	1	i=0 r(xi)i ′′	ORG
ma-168	261	2	3.9	CARDINAL
ma-168	261	3	− δλvs	ORG
ma-168	262	1	′′	ORG
ma-168	264	1	′′	ORG
ma-168	265	1	3.10	CARDINAL
ma-168	265	2	δλvs ′′	PERSON
ma-168	267	1	′′	ORG
ma-168	268	1	0	CARDINAL
ma-168	268	2	3.11	CARDINAL
ma-168	269	1	′′	ORG
ma-168	271	1	three	CARDINAL
ma-168	272	1	′′	ORG
ma-168	272	2	3.13	CARDINAL
ma-168	272	3	δλvs	GPE
ma-168	273	1	′′	ORG
ma-168	274	1	3.14	CARDINAL
ma-168	274	2	1+νv	CARDINAL
ma-168	275	1	′′	ORG
ma-168	276	1	3.15	CARDINAL
ma-168	276	2	3.14	CARDINAL
ma-168	276	3	3.15	CARDINAL
ma-168	276	4	3.13	CARDINAL
ma-168	278	1	3.16	CARDINAL
ma-168	278	2	3.8	CARDINAL
ma-168	278	3	3.9	CARDINAL
ma-168	279	1	3.17	CARDINAL
ma-168	281	1	i=0 r(xi)i	GPE
ma-168	281	2	+ ω(xi	PERCENT
ma-168	281	3	3.18	CARDINAL
ma-168	282	1	j. math	PERSON
ma-168	284	1	10.28924	CARDINAL
ma-168	284	2	10if	ORDINAL
ma-168	284	3	3.16	CARDINAL
ma-168	284	4	3,17	CARDINAL
ma-168	284	5	3.7	CARDINAL
ma-168	286	1	3.19	CARDINAL
ma-168	286	2	3.16	CARDINAL
ma-168	286	3	3.18	CARDINAL
ma-168	286	4	3.19	CARDINAL
ma-168	286	5	3.7	CARDINAL
ma-168	286	6	i=0 µh(xi)µvψh(xi)(µh(xi	GPE
ma-168	286	7	+ ω(xi	PERCENT
ma-168	287	1	0	CARDINAL
ma-168	287	2	1	CARDINAL
ma-168	287	3	3.20	CARDINAL
ma-168	288	1	µh(xi)µvω(xi)r(xi)r2	PERSON
ma-168	288	2	0.(3.21)if	CARDINAL
ma-168	288	3	3.20	CARDINAL
ma-168	290	1	0	CARDINAL
ma-168	291	1	2.1	CARDINAL
ma-168	291	2	1	CARDINAL
ma-168	292	1	0	CARDINAL
ma-168	292	2	1	CARDINAL
ma-168	293	1	2	CARDINAL
ma-168	293	2	1	CARDINAL
ma-168	293	3	2.1	CARDINAL
ma-168	295	1	1	CARDINAL
ma-168	295	2	boatin	ORG
ma-168	295	3	n.j.d.n	DATE
ma-168	296	1	bmc public health	ORG
ma-168	297	1	1 (2001	DATE
ma-168	297	2	m. noma	PERSON
ma-168	297	3	j. bump	PERSON
ma-168	297	4	b. bentin	PERSON
ma-168	297	5	b. liese	PERSON
ma-168	297	6	l. yameogo	PERSON
ma-168	297	7	h. zouré	PERSON
ma-168	297	8	a. seketeli	PERSON
ma-168	297	9	saharan africa	GPE
ma-168	297	10	chapter 15	LAW
ma-168	297	11	world bank	ORG
ma-168	297	12	washington	GPE
ma-168	297	13	dc	GPE
ma-168	297	14	2006.[3	DATE
ma-168	297	15	a. hassan	PERSON
ma-168	297	16	n. shaban	PERSON
ma-168	297	17	j. biol	PERSON
ma-168	299	1	14	CARDINAL
ma-168	299	2	2020	DATE
ma-168	299	3	245	CARDINAL
ma-168	300	1	e.m. poolman	GPE
ma-168	300	2	a.p	GPE
ma-168	300	3	galvani	PERSON
ma-168	300	4	amer	PERSON
ma-168	301	1	j. trop.med	PERSON
ma-168	302	1	75	CARDINAL
ma-168	302	2	921–927.[5	CARDINAL
ma-168	304	1	11	CARDINAL
ma-168	304	2	2003	DATE
ma-168	305	1	339–376.[6	CARDINAL
ma-168	305	2	basanez	PERSON
ma-168	305	3	m. boussinesq	PERSON
ma-168	305	4	phil	PERSON
ma-168	306	1	trans	PERSON
ma-168	306	2	r. soc	PERSON
ma-168	307	1	lond	PERSON
ma-168	309	1	1999	DATE
ma-168	309	2	m.g. basanez	PERSON
ma-168	309	3	j. ricardez-esquinca	PERSON
ma-168	310	1	17 (2001	DATE
ma-168	310	2	murray	PERSON
ma-168	310	3	i.	PERSON
ma-168	311	1	3rd	ORDINAL
ma-168	312	1	heidelberg	PERSON
ma-168	312	2	springer-verlag berlin	ORG
ma-168	312	3	2002.[9	CARDINAL
ma-168	312	4	a.p	GPE
ma-168	312	5	plaisier	PERSON
ma-168	312	6	e.s.	ORG
ma-168	312	7	g.j. van oortmarssen	PERSON
ma-168	312	8	b.a.	GPE
ma-168	312	9	boatin	ORG
ma-168	312	10	j.d.f habbema	PERSON
ma-168	312	11	annualivermectin	GPE
ma-168	312	12	west africa	GPE
ma-168	312	13	bull	ORG
ma-168	314	1	75 (1997	DATE
ma-168	314	2	237	CARDINAL
ma-168	314	3	j. remme	PERSON
ma-168	314	4	g. de sole	PERSON
ma-168	314	5	van oortmarssen	PERSON
ma-168	314	6	years	DATE
ma-168	314	7	west africa	GPE
ma-168	314	8	bull	ORG
ma-168	316	1	68	CARDINAL
ma-168	316	2	1990	DATE
ma-168	317	1	331–339	CARDINAL
ma-168	319	1	j. math	PERSON
ma-168	321	1	10.28924	CARDINAL
ma-168	321	2	11	CARDINAL
ma-168	322	1	11	CARDINAL
ma-168	322	2	a.t.	GPE
ma-168	322	3	gbenga	PERSON
ma-168	324	1	5	CARDINAL
ma-168	324	2	african	NORP
ma-168	324	3	september 2012	DATE
ma-168	324	4	weekly	DATE
ma-168	325	1	2012	DATE
ma-168	326	1	494–502	CARDINAL
ma-168	327	1	1	CARDINAL
ma-168	327	2	2	CARDINAL
ma-168	327	3	2.1	CARDINAL
ma-168	327	4	3	CARDINAL
ma-168	327	5	3.1	CARDINAL
ma-168	328	1	3.2	CARDINAL
ma-168	329	1	3.3	CARDINAL