id	sid	eid	entity	type
ma-219	1	1	2024	CARDINAL
ma-219	2	1	j. math	PERSON
ma-219	4	1	4 (2024	CARDINAL
ma-219	4	2	9doi	CARDINAL
ma-219	4	3	10.28924	CARDINAL
ma-219	4	4	two	CARDINAL
ma-219	4	5	k. m. adeyemo	PERSON
ma-219	4	6	ogun state	GPE
ma-219	4	7	nigeria	GPE
ma-219	6	1	two	CARDINAL
ma-219	8	1	linear	ORG
ma-219	8	2	1	CARDINAL
ma-219	9	1	1	CARDINAL
ma-219	10	1	1	CARDINAL
ma-219	10	2	3	CARDINAL
ma-219	11	1	one	CARDINAL
ma-219	12	1	africa	LOC
ma-219	14	1	remme et al	PERSON
ma-219	15	1	14	CARDINAL
ma-219	15	2	west africa	GPE
ma-219	15	3	larviciding.plaisier et al	PERSON
ma-219	16	1	13	CARDINAL
ma-219	16	2	combiningannual ivermectin	PERSON
ma-219	16	3	westafrica	GPE
ma-219	18	1	3	CARDINAL
ma-219	18	2	onchocerciasis byusing macrofilaricide	ORG
ma-219	19	1	asha hassan &	ORG
ma-219	20	1	5	CARDINAL
ma-219	20	2	four	CARDINAL
ma-219	21	1	four	CARDINAL
ma-219	21	2	three	CARDINAL
ma-219	23	1	1	CARDINAL
ma-219	24	1	18 jan 2024	DATE
ma-219	26	1	lyapunov function.1 https://adac.ee	ORG
ma-219	27	1	j. math	PERSON
ma-219	29	1	10.28924	CARDINAL
ma-219	30	1	irs	ORG
ma-219	30	2	section 2	LAW
ma-219	30	3	section 3	LAW
ma-219	31	1	2	CARDINAL
ma-219	31	2	two	CARDINAL
ma-219	32	1	four	CARDINAL
ma-219	34	1	three	CARDINAL
ma-219	34	2	sv	ORG
ma-219	35	1	t)+iv	ORG
ma-219	40	1	dsh(t	ORG
ma-219	41	1	i=0(1−	DATE
ma-219	41	2	deh(t	GPE
ma-219	44	1	i=0(1−	DATE
ma-219	44	2	γ(xi	GPE
ma-219	44	3	dvh(t	GPE
ma-219	47	1	αvev	ORG
ma-219	47	2	t)−	ORG
ma-219	47	3	2.1	CARDINAL
ma-219	47	4	i0h(xi	TIME
ma-219	47	5	2.2	CARDINAL
ma-219	47	6	0	CARDINAL
ma-219	49	1	j. math	PERSON
ma-219	51	1	10.28924	CARDINAL
ma-219	51	2	definitionss sh(t	PERSON
ma-219	51	3	humanat discrete age	FAC
ma-219	53	1	γ(xi	GPE
ma-219	55	1	1	CARDINAL
ma-219	57	1	stage4	GPE
ma-219	58	1	treatment5	PERSON
ma-219	61	1	j. math	PERSON
ma-219	63	1	10.28924	CARDINAL
ma-219	68	1	2.1	CARDINAL
ma-219	68	2	nv	GPE
ma-219	72	1	īh(t	GPE
ma-219	73	1	s̄v	GPE
ma-219	73	2	nv	GPE
ma-219	74	1	nv	GPE
ma-219	74	2	nv	GPE
ma-219	75	1	1	CARDINAL
ma-219	75	2	s̄v	GPE
ma-219	77	1	1	CARDINAL
ma-219	79	1	σ = nv	ORG
ma-219	80	1	2.1	CARDINAL
ma-219	80	2	dsh(t	ORG
ma-219	83	1	1−	CARDINAL
ma-219	84	1	i=0 δλh(xi)σh(t	PERSON
ma-219	84	2	xi)iv	DATE
ma-219	85	1	deh(t	GPE
ma-219	86	1	i=0 δλh(xi)σsh(t	ORG
ma-219	87	1	t)− (	ORG
ma-219	88	1	i=0(1−	DATE
ma-219	88	2	γ(xi	GPE
ma-219	88	3	dvh(t	GPE
ma-219	89	1	+ θαh(xi)eh(t	GPE
ma-219	91	1	αvev	ORG
ma-219	91	2	t)−	ORG
ma-219	91	3	2.3	CARDINAL
ma-219	91	4	i0h(xi	TIME
ma-219	91	5	2.4	CARDINAL
ma-219	91	6	0	CARDINAL
ma-219	92	1	3	CARDINAL
ma-219	94	1	j. math	PERSON
ma-219	96	1	10.28924	CARDINAL
ma-219	96	2	53.1	CARDINAL
ma-219	98	1	2.1	CARDINAL
ma-219	98	2	reproductionnumber r0	PERSON
ma-219	99	1	3	CARDINAL
ma-219	99	2	2.12	CARDINAL
ma-219	99	3	2.1	CARDINAL
ma-219	99	4	ω	LOC
ma-219	99	5	linear	ORG
ma-219	99	6	= d1eh(t	PERSON
ma-219	100	1	3.1	CARDINAL
ma-219	100	2	1	CARDINAL
ma-219	100	3	δλv d4 =	PERSON
ma-219	100	4	δλvαvin	ORG
ma-219	100	5	3.1	CARDINAL
ma-219	100	6	αh(xi)(1− θ)[δλh(xi)σh(t	ORG
ma-219	102	1	i=0 (	ORG
ma-219	102	2	γ(xi	GPE
ma-219	103	1	γ(xi	GPE
ma-219	106	1	i=0 δλh(xi)σαh(xi)(1− θ)sh(t	ORG
ma-219	107	1	γ(xi	GPE
ma-219	110	1	i=0	ORG
ma-219	110	2	1−	CARDINAL
ma-219	110	3	γ(xi	GPE
ma-219	112	1	δλvαv ≤ l∑	ORG
ma-219	116	1	θ)(1− τ	PERSON
ma-219	118	1	1]iv	CARDINAL
ma-219	119	1	j. math	PERSON
ma-219	121	1	10.28924	CARDINAL
ma-219	124	1	sv	ORG
ma-219	124	2	ev	ORG
ma-219	124	3	1− τ	QUANTITY
ma-219	124	4	0	CARDINAL
ma-219	124	5	0	DATE
ma-219	124	6	0	CARDINAL
ma-219	124	7	1	CARDINAL
ma-219	124	8	0	DATE
ma-219	124	9	0	CARDINAL
ma-219	124	10	lasalle	GPE
ma-219	124	11	ω	CARDINAL
ma-219	127	1	eh(t	PERSON
ma-219	127	2	sv	ORG
ma-219	127	3	ω	CARDINAL
ma-219	127	4	0	CARDINAL
ma-219	128	1	at least one	CARDINAL
ma-219	129	1	2.1	CARDINAL
ma-219	131	1	goh-volterra	ORG
ma-219	132	1	6	CARDINAL
ma-219	132	2	15	CARDINAL
ma-219	133	1	4	CARDINAL
ma-219	133	2	2.3	CARDINAL
ma-219	133	3	1	CARDINAL
ma-219	134	1	1	CARDINAL
ma-219	137	1	+ µh(xi	PERSON
ma-219	138	1	sv − s∗∗v	PERSON
ma-219	138	2	sv s∗∗v	PERSON
ma-219	139	1	ev e∗∗v	PERSON
ma-219	142	1	+ µh(xi	PERSON
ma-219	143	1	ṡv − s∗∗v sv ṡv + ėv	PERSON
ma-219	143	2	ėv +	DATE
ma-219	143	3	i̇v	NORP
ma-219	143	4	3.2	CARDINAL
ma-219	144	1	j. math	PERSON
ma-219	146	1	10.28924	CARDINAL
ma-219	146	2	2.3	CARDINAL
ma-219	146	3	3.3	CARDINAL
ma-219	146	4	1−	CARDINAL
ma-219	146	5	i=0 δλh(xi)σsh(t	ORG
ma-219	147	1	3.3	CARDINAL
ma-219	147	2	− l∑	ORG
ma-219	153	1	i=0	ORG
ma-219	157	1	+ µh(xi	PERSON
ma-219	157	2	1− θ)αh(xi)eh(t	DATE
ma-219	160	1	1− θ)αh(xi)eh(t	DATE
ma-219	163	1	− s∗∗v sv	PERSON
ma-219	165	1	ev − e∗∗v eh(t	PERSON
ma-219	165	2	δλh(xi)sh(t	GPE
ma-219	171	1	i=0	ORG
ma-219	172	1	1− s∗∗h	DATE
ma-219	174	1	1− s∗∗h	DATE
ma-219	175	1	i=0 δλh(xi)s	ORG
ma-219	176	1	3.4	CARDINAL
ma-219	177	1	xi)δλh(xi)sh(t	GPE
ma-219	179	1	3.5	CARDINAL
ma-219	179	2	− l∑	ORG
ma-219	180	1	µh(xi)γh(xi))ih(t	GPE
ma-219	180	2	3.6	CARDINAL
ma-219	180	3	− l∑	ORG
ma-219	182	1	xi)eh(t	GPE
ma-219	182	2	+ µh(xi	PERSON
ma-219	183	1	3.7	CARDINAL
ma-219	184	1	1− s∗∗v sv	TIME
ma-219	185	1	1− s∗∗v sv	TIME
ma-219	186	1	+ δλvs	PERSON
ma-219	187	1	3.8	CARDINAL
ma-219	188	1	3.9	CARDINAL
ma-219	188	2	2.4	CARDINAL
ma-219	189	1	h(xi)i ∗	QUANTITY
ma-219	189	2	µh(xi)s ∗ h(xi	PERSON
ma-219	190	1	+ µh(xi	PERSON
ma-219	200	1	3.10	CARDINAL
ma-219	201	1	j. math	PERSON
ma-219	203	1	10.28924	CARDINAL
ma-219	203	2	3.6	CARDINAL
ma-219	203	3	3.5	CARDINAL
ma-219	203	4	i=0 µh(xi)σ ∗ h	ORG
ma-219	203	5	s∗h(xi	GPE
ma-219	203	6	s∗h(xi	GPE
ma-219	204	1	i=0 δλh(xi)σs	ORG
ma-219	204	2	h(xi)i ∗	QUANTITY
ma-219	204	3	3.11	CARDINAL
ma-219	211	1	∗	CARDINAL
ma-219	211	2	∗	CARDINAL
ma-219	212	1	i=0 δλh(xi)σs ∗ hi ∗ v + µvs	ORG
ma-219	212	2	s∗∗v sv − sv s∗v	PERSON
ma-219	212	3	− δλvs∗v i∗h − δλv (s∗v	ORG
ma-219	212	4	2i∗h	CARDINAL
ma-219	216	1	∗	CARDINAL
ma-219	217	1	+ δλvs ∗ v	PERSON
ma-219	218	1	∗	CARDINAL
ma-219	218	2	i=0 µh(xi)s ∗ h	ORG
ma-219	218	3	s∗h(xi	GPE
ma-219	218	4	s∗h(xi	GPE
ma-219	219	1	i=0 δλh(xi)σs	ORG
ma-219	221	1	∗	CARDINAL
ma-219	221	2	3.12	CARDINAL
ma-219	221	3	4− s∗h(xi	GPE
ma-219	221	4	− e∗h(xi)σsh(t	PERSON
ma-219	222	1	xi)e ∗ h(xi	FAC
ma-219	222	2	∗	CARDINAL
ma-219	226	1	s∗∗v sv − sv s∗∗v	PERSON
ma-219	227	1	+ δλvs ∗ v	PERSON
ma-219	228	1	xi)g(ih	GPE
ma-219	234	1	2	CARDINAL
ma-219	234	2	− δλvs∗v i∗h	ORG
ma-219	235	1	h(xi)i ∗	QUANTITY
ma-219	235	2	1− iv	TIME
ma-219	236	1	∗	CARDINAL
ma-219	239	1	∗	CARDINAL
ma-219	240	1	1−	CARDINAL
ma-219	242	1	3.13	CARDINAL
ma-219	242	2	µh(xi)s ∗ h(xi	PERSON
ma-219	242	3	s∗h(xi	GPE
ma-219	243	1	s∗h(xi	GPE
ma-219	243	2	2	CARDINAL
ma-219	244	1	s∗h(xi	GPE
ma-219	245	1	xi)e ∗ h(xi	FAC
ma-219	246	1	∗	CARDINAL
ma-219	246	2	4	CARDINAL
ma-219	246	3	m3	CARDINAL
ma-219	246	4	∗	CARDINAL
ma-219	246	5	2	CARDINAL
ma-219	251	1	j. math	PERSON
ma-219	253	1	10.28924	CARDINAL
ma-219	254	1	2.3	CARDINAL
ma-219	255	1	1	CARDINAL
ma-219	256	1	1	CARDINAL
ma-219	256	2	1	CARDINAL
ma-219	257	1	j. math	PERSON
ma-219	259	1	3 (	CARDINAL
ma-219	259	2	2023	CARDINAL
ma-219	259	3	boatin	ORG
ma-219	259	4	n.j.d.n	DATE
ma-219	259	5	bmc public health	ORG
ma-219	259	6	1 (2001	DATE
ma-219	260	1	m. noma	PERSON
ma-219	260	2	j. bump	PERSON
ma-219	260	3	b. bentin	PERSON
ma-219	260	4	b. liese	PERSON
ma-219	260	5	l. yameogo	PERSON
ma-219	260	6	h. zouré	PERSON
ma-219	260	7	a. seketeli	PERSON
ma-219	260	8	saharan africa	GPE
ma-219	260	9	chapter 15	LAW
ma-219	260	10	world bank	ORG
ma-219	260	11	washington	GPE
ma-219	260	12	dc	GPE
ma-219	260	13	2006.[4	CARDINAL
ma-219	260	14	a. hassan	PERSON
ma-219	260	15	n. shaban	PERSON
ma-219	260	16	j. biol	PERSON
ma-219	262	1	14	CARDINAL
ma-219	262	2	2020	DATE
ma-219	262	3	245-268.[5	QUANTITY
ma-219	262	4	c. castillo-chavez	PERSON
ma-219	262	5	b. song	PERSON
ma-219	263	1	biosci	PERSON
ma-219	264	1	eng	PERSON
ma-219	264	2	1 (	CARDINAL
ma-219	264	3	h. zhang	PERSON
ma-219	266	1	219	CARDINAL
ma-219	266	2	2013) 8496-8507.[7	DATE
ma-219	266	3	lasalle	GPE
ma-219	266	4	siam	GPE
ma-219	266	5	philadelphia	GPE
ma-219	266	6	1976.[8	CARDINAL
ma-219	267	1	e.m. poolman	GPE
ma-219	267	2	a.p	GPE
ma-219	267	3	galvani	PERSON
ma-219	267	4	amer	PERSON
ma-219	268	1	j. trop.med	PERSON
ma-219	269	1	75 (2006	DATE
ma-219	269	2	921–927.[9	CARDINAL
ma-219	270	1	q. 11 (	PERSON
ma-219	270	2	2003	DATE
ma-219	270	3	339–376.[10	CARDINAL
ma-219	270	4	m.g. basáñez	PERSON
ma-219	270	5	m. boussinesq	PERSON
ma-219	270	6	phil	PERSON
ma-219	271	1	trans	PERSON
ma-219	271	2	r. soc	PERSON
ma-219	272	1	lond	PERSON
ma-219	274	1	1999	DATE
ma-219	274	2	m.g. basáñez	PERSON
ma-219	274	3	j. ricárdez-esquinca	PERSON
ma-219	275	1	17 (2001	DATE
ma-219	275	2	430–438.[12	CARDINAL
ma-219	275	3	murray	PERSON
ma-219	275	4	i.	PERSON
ma-219	276	1	3rd	ORDINAL
ma-219	276	2	berlin	GPE
ma-219	276	3	a.p	GPE
ma-219	276	4	plaisier	PERSON
ma-219	276	5	e.s.	ORG
ma-219	276	6	g.j. van oortmarssen	PERSON
ma-219	276	7	b.a.	GPE
ma-219	276	8	boatin	ORG
ma-219	276	9	j.d.f habbema	PERSON
ma-219	276	10	annualivermectin	GPE
ma-219	276	11	west africa	GPE
ma-219	276	12	bull	ORG
ma-219	278	1	75 (1997	DATE
ma-219	279	1	j. remme	PERSON
ma-219	279	2	g. de sole	PERSON
ma-219	279	3	van oortmarssen	PERSON
ma-219	279	4	years	DATE
ma-219	279	5	west africa	GPE
ma-219	279	6	bull	ORG
ma-219	281	1	68	CARDINAL
ma-219	281	2	1990	DATE
ma-219	281	3	331–339.[15	CARDINAL
ma-219	281	4	safi	GPE
ma-219	281	5	s.m. garba	PERSON
ma-219	282	1	math.meth	DATE
ma-219	282	2	2012	DATE
ma-219	282	3	2012	DATE
ma-219	283	1	a.t.	GPE
ma-219	283	2	gbenga	PERSON
ma-219	285	1	5	CARDINAL
ma-219	286	1	african	NORP
ma-219	286	2	september 2012	DATE
ma-219	286	3	weekly	DATE
ma-219	287	1	87	DATE
ma-219	287	2	2012	DATE
ma-219	287	3	494–502	CARDINAL
ma-219	288	1	1	CARDINAL
ma-219	289	1	2	CARDINAL
ma-219	289	2	3	CARDINAL
ma-219	289	3	3.1	CARDINAL