id	sid	eid	entity	type
eajbcs-694	1	1	asmamaw1	DATE
eajbcs-694	1	2	kiros gebrearegawi	PERSON
eajbcs-694	1	3	1department	CARDINAL
eajbcs-694	1	4	ethiopia	GPE
eajbcs-694	1	5	ethiopia	GPE
eajbcs-694	1	6	covid-19	PERSON
eajbcs-694	1	7	∗ east afr	ORG
eajbcs-694	2	1	j. biophys	PERSON
eajbcs-694	3	1	comput	PERSON
eajbcs-694	4	1	sci.	ORG
eajbcs-694	5	1	2024	CARDINAL
eajbcs-694	5	2	5	CARDINAL
eajbcs-694	5	3	2	CARDINAL
eajbcs-694	5	4	58-86 58	PERCENT
eajbcs-694	5	5	covid-19	DATE
eajbcs-694	7	1	1	CARDINAL
eajbcs-694	13	1	covid-19	ORG
eajbcs-694	13	2	covid-19	PRODUCT
eajbcs-694	14	1	2020	DATE
eajbcs-694	15	1	covid-19	ORG
eajbcs-694	16	1	2020	DATE
eajbcs-694	17	1	1	CARDINAL
eajbcs-694	18	1	2019	DATE
eajbcs-694	18	2	covid-19	ORG
eajbcs-694	19	1	2020	DATE
eajbcs-694	20	1	first	ORDINAL
eajbcs-694	20	2	late december 2019	DATE
eajbcs-694	20	3	chinese	NORP
eajbcs-694	20	4	wuhan	GPE
eajbcs-694	20	5	covid-19	PRODUCT
eajbcs-694	21	1	kirosg@hu.edu.et	PERSON
eajbcs-694	21	2	article east afr	ORG
eajbcs-694	22	1	j. biophys	PERSON
eajbcs-694	23	1	comput	PERSON
eajbcs-694	24	1	sci.	ORG
eajbcs-694	25	1	2024	CARDINAL
eajbcs-694	25	2	5	CARDINAL
eajbcs-694	25	3	2	CARDINAL
eajbcs-694	25	4	58-86	DATE
eajbcs-694	25	5	6 feet	QUANTITY
eajbcs-694	25	6	2020	DATE
eajbcs-694	26	1	covid-19	PRODUCT
eajbcs-694	27	1	covid-19	PRODUCT
eajbcs-694	27	2	2020	DATE
eajbcs-694	29	1	brauer et al	PERSON
eajbcs-694	30	1	2019	DATE
eajbcs-694	31	1	first	ORDINAL
eajbcs-694	31	2	odel w	PERSON
eajbcs-694	31	3	daniel bernoulli allen et al	PERSON
eajbcs-694	31	4	2008	DATE
eajbcs-694	31	5	two	CARDINAL
eajbcs-694	33	1	first	ORDINAL
eajbcs-694	34	1	less than 11%	PERCENT
eajbcs-694	36	1	yang	PERSON
eajbcs-694	36	2	wang yang	PERSON
eajbcs-694	36	3	wang	PERSON
eajbcs-694	36	4	2020	DATE
eajbcs-694	36	5	covid-19	ORG
eajbcs-694	38	1	wuhan city	GPE
eajbcs-694	38	2	china	GPE
eajbcs-694	39	1	2020	DATE
eajbcs-694	39	2	2020	DATE
eajbcs-694	39	3	covid-19	PRODUCT
eajbcs-694	39	4	ethiopia	GPE
eajbcs-694	46	1	section 2	LAW
eajbcs-694	47	1	section 3	LAW
eajbcs-694	48	1	section 4	LAW
eajbcs-694	48	2	5	CARDINAL
eajbcs-694	48	3	6	CARDINAL
eajbcs-694	49	1	section 7	LAW
eajbcs-694	50	1	2	CARDINAL
eajbcs-694	50	2	2.1	CARDINAL
eajbcs-694	51	1	covid-19	ORG
eajbcs-694	52	1	2020	DATE
eajbcs-694	54	1	2.2	CARDINAL
eajbcs-694	54	2	covid-19	DATE
eajbcs-694	55	1	six	CARDINAL
eajbcs-694	58	1	1	CARDINAL
eajbcs-694	59	1	2	CARDINAL
eajbcs-694	60	1	3	CARDINAL
eajbcs-694	61	1	4	CARDINAL
eajbcs-694	61	2	covid-19	DATE
eajbcs-694	62	1	5	CARDINAL
eajbcs-694	64	1	6	CARDINAL
eajbcs-694	67	1	8	CARDINAL
eajbcs-694	68	1	9	CARDINAL
eajbcs-694	69	1	+ σ2e +	DATE
eajbcs-694	69	2	1	CARDINAL
eajbcs-694	69	3	σ3	PERSON
eajbcs-694	70	1	covid-19	PRODUCT
eajbcs-694	70	2	covid-19	PRODUCT
eajbcs-694	70	3	1	CARDINAL
eajbcs-694	71	1	east afr	LOC
eajbcs-694	72	1	j. biophys	PERSON
eajbcs-694	73	1	comput	PERSON
eajbcs-694	74	1	sci.	ORG
eajbcs-694	75	1	2024	CARDINAL
eajbcs-694	75	2	5	CARDINAL
eajbcs-694	75	3	2	CARDINAL
eajbcs-694	75	4	58-86	PERCENT
eajbcs-694	75	5	1	CARDINAL
eajbcs-694	76	1	2	CARDINAL
eajbcs-694	77	1	σ3	NORP
eajbcs-694	77	2	1− τ	QUANTITY
eajbcs-694	77	3	1− η	QUANTITY
eajbcs-694	77	4	1	CARDINAL
eajbcs-694	77	5	covid-19	PRODUCT
eajbcs-694	78	1	east afr	LOC
eajbcs-694	79	1	j. biophys	PERSON
eajbcs-694	80	1	comput	PERSON
eajbcs-694	81	1	sci.	ORG
eajbcs-694	82	1	2024	CARDINAL
eajbcs-694	82	2	5	CARDINAL
eajbcs-694	82	3	2	CARDINAL
eajbcs-694	82	4	58-86	PERCENT
eajbcs-694	82	5	1	CARDINAL
eajbcs-694	82	6	covid-19	ORG
eajbcs-694	83	1	2a	CARDINAL
eajbcs-694	83	2	1− η)ωr−	QUANTITY
eajbcs-694	83	3	ν + µ)p	ORG
eajbcs-694	83	4	2b	CARDINAL
eajbcs-694	83	5	+ σ2e + σ3h)s	DATE
eajbcs-694	83	6	2c	CARDINAL
eajbcs-694	83	7	2d	DATE
eajbcs-694	85	1	2e	CARDINAL
eajbcs-694	85	2	1− τ)δe +	DATE
eajbcs-694	85	3	− (ω + µ)r	ORG
eajbcs-694	85	4	2f	CARDINAL
eajbcs-694	85	5	0	CARDINAL
eajbcs-694	86	1	0	CARDINAL
eajbcs-694	87	1	i0	GPE
eajbcs-694	88	1	0	CARDINAL
eajbcs-694	89	1	3	CARDINAL
eajbcs-694	92	1	2	CARDINAL
eajbcs-694	93	1	3.1	CARDINAL
eajbcs-694	94	1	2	CARDINAL
eajbcs-694	95	1	picard	PERSON
eajbcs-694	95	2	2002	DATE
eajbcs-694	97	1	3.1	CARDINAL
eajbcs-694	98	1	0	CARDINAL
eajbcs-694	98	2	0	CARDINAL
eajbcs-694	98	3	0	CARDINAL
eajbcs-694	98	4	i(0	GPE
eajbcs-694	98	5	0	CARDINAL
eajbcs-694	98	6	i(t	PERSON
eajbcs-694	98	7	2	CARDINAL
eajbcs-694	100	1	2	CARDINAL
eajbcs-694	101	1	0	CARDINAL
eajbcs-694	101	2	s(t0	ORG
eajbcs-694	102	1	0	CARDINAL
eajbcs-694	104	1	0	CARDINAL
eajbcs-694	105	1	i(t	PERSON
eajbcs-694	106	1	0	CARDINAL
eajbcs-694	108	1	0	CARDINAL
eajbcs-694	108	2	0	CARDINAL
eajbcs-694	108	3	0	CARDINAL
eajbcs-694	110	1	0	CARDINAL
eajbcs-694	111	1	i(t	PERSON
eajbcs-694	112	1	0	CARDINAL
eajbcs-694	114	1	0	CARDINAL
eajbcs-694	114	2	0	CARDINAL
eajbcs-694	114	3	e ′(t2	PERSON
eajbcs-694	114	4	0	CARDINAL
eajbcs-694	116	1	0	CARDINAL
eajbcs-694	117	1	i(t	PERSON
eajbcs-694	118	1	0	CARDINAL
eajbcs-694	120	1	0	CARDINAL
eajbcs-694	122	1	0	CARDINAL
eajbcs-694	124	1	0	CARDINAL
eajbcs-694	124	2	t3	ORG
eajbcs-694	126	1	0	CARDINAL
eajbcs-694	126	2	t3	ORG
eajbcs-694	127	1	2d	DATE
eajbcs-694	130	1	0	CARDINAL
eajbcs-694	132	1	2e	CARDINAL
eajbcs-694	134	1	0	CARDINAL
eajbcs-694	135	1	0	CARDINAL
eajbcs-694	136	1	east afr	LOC
eajbcs-694	137	1	j. biophys	PERSON
eajbcs-694	138	1	comput	PERSON
eajbcs-694	139	1	sci.	ORG
eajbcs-694	140	1	2024	CARDINAL
eajbcs-694	140	2	5	CARDINAL
eajbcs-694	140	3	2	CARDINAL
eajbcs-694	140	4	58-86 62	DATE
eajbcs-694	140	5	0	CARDINAL
eajbcs-694	143	1	0	CARDINAL
eajbcs-694	144	1	2f	CARDINAL
eajbcs-694	145	1	1− τ)δe(s	TIME
eajbcs-694	145	2	0	CARDINAL
eajbcs-694	146	1	0	CARDINAL
eajbcs-694	149	1	1	CARDINAL
eajbcs-694	152	1	0	CARDINAL
eajbcs-694	155	1	0	CARDINAL
eajbcs-694	156	1	i(t	PERSON
eajbcs-694	156	2	2	CARDINAL
eajbcs-694	156	3	0	CARDINAL
eajbcs-694	158	1	3.2	CARDINAL
eajbcs-694	159	1	i(t	PERSON
eajbcs-694	159	2	2	CARDINAL
eajbcs-694	161	1	3.1	CARDINAL
eajbcs-694	163	1	s(t)+p	PRODUCT
eajbcs-694	170	1	n(0)− π µ	ORG
eajbcs-694	170	2	0 ≤ n(t) ≤	QUANTITY
eajbcs-694	172	1	0 ≤ n(t) ≤	QUANTITY
eajbcs-694	172	2	0	CARDINAL
eajbcs-694	173	1	2	CARDINAL
eajbcs-694	173	2	0 ≤ n(t) ≤	QUANTITY
eajbcs-694	174	1	max	PERSON
eajbcs-694	175	1	∈ ω	ORG
eajbcs-694	175	2	0	CARDINAL
eajbcs-694	176	1	ω	CARDINAL
eajbcs-694	177	1	2	CARDINAL
eajbcs-694	178	1	3.2	CARDINAL
eajbcs-694	179	1	2	CARDINAL
eajbcs-694	179	2	0	CARDINAL
eajbcs-694	181	1	1− η)ωr−	QUANTITY
eajbcs-694	182	1	+ σ2e + σ3h)s	DATE
eajbcs-694	182	2	0	CARDINAL
eajbcs-694	184	1	0	CARDINAL
eajbcs-694	186	1	0	CARDINAL
eajbcs-694	186	2	1− τ)δe	DATE
eajbcs-694	187	1	− (ω + µ)r	ORG
eajbcs-694	188	1	two	CARDINAL
eajbcs-694	188	2	2	CARDINAL
eajbcs-694	190	1	0	CARDINAL
eajbcs-694	191	1	s0	ORG
eajbcs-694	191	2	0	CARDINAL
eajbcs-694	191	3	e0	GPE
eajbcs-694	191	4	i0	GPE
eajbcs-694	192	1	0	CARDINAL
eajbcs-694	192	2	0	DATE
eajbcs-694	192	3	0	DATE
eajbcs-694	192	4	0	DATE
eajbcs-694	194	1	3.3	CARDINAL
eajbcs-694	195	1	j. biophys	PERSON
eajbcs-694	196	1	comput	PERSON
eajbcs-694	197	1	sci.	ORG
eajbcs-694	198	1	2024	CARDINAL
eajbcs-694	198	2	5	CARDINAL
eajbcs-694	198	3	2	CARDINAL
eajbcs-694	198	4	58-86	DATE
eajbcs-694	200	1	2010	DATE
eajbcs-694	200	2	ρ(fv	CARDINAL
eajbcs-694	200	3	−1	DATE
eajbcs-694	205	1	jacobian	NORP
eajbcs-694	208	1	0	CARDINAL
eajbcs-694	208	2	+ ε+	GPE
eajbcs-694	209	1	−1	DATE
eajbcs-694	210	1	k1k2	NORP
eajbcs-694	210	2	0	CARDINAL
eajbcs-694	210	3	βσ3s0τδα k1k2(δ +	GPE
eajbcs-694	211	1	3	CARDINAL
eajbcs-694	213	1	−1	DATE
eajbcs-694	213	2	ρ(fv	CARDINAL
eajbcs-694	215	1	r3	ORG
eajbcs-694	216	1	+ µ	GPE
eajbcs-694	216	2	+ ε+	GPE
eajbcs-694	216	3	µ+ ρ + σ3τδα	ORG
eajbcs-694	217	1	4	CARDINAL
eajbcs-694	217	2	3.4	CARDINAL
eajbcs-694	218	1	3.3	CARDINAL
eajbcs-694	219	1	2	CARDINAL
eajbcs-694	219	2	1	CARDINAL
eajbcs-694	220	1	jacobian	NORP
eajbcs-694	220	2	2	CARDINAL
eajbcs-694	220	3	j(e0	GPE
eajbcs-694	220	4	0	CARDINAL
eajbcs-694	220	5	0	DATE
eajbcs-694	220	6	θ −(ν + µ	ORG
eajbcs-694	220	7	0	CARDINAL
eajbcs-694	220	8	1−	ORDINAL
eajbcs-694	220	9	0	CARDINAL
eajbcs-694	222	1	0 0	PERCENT
eajbcs-694	225	1	1−	ORDINAL
eajbcs-694	225	2	ε γ	GPE
eajbcs-694	226	1	east afr	PERSON
eajbcs-694	227	1	j. biophys	PERSON
eajbcs-694	228	1	comput	PERSON
eajbcs-694	229	1	sci.	ORG
eajbcs-694	230	1	2024	CARDINAL
eajbcs-694	230	2	5	CARDINAL
eajbcs-694	230	3	2	CARDINAL
eajbcs-694	230	4	58-86	DATE
eajbcs-694	230	5	j(e0	GPE
eajbcs-694	232	1	first	ORDINAL
eajbcs-694	232	2	j(e0	GPE
eajbcs-694	232	3	fourth	ORDINAL
eajbcs-694	232	4	j(e0	GPE
eajbcs-694	233	1	first	ORDINAL
eajbcs-694	233	2	j(e0	GPE
eajbcs-694	234	1	ν θ −(ν +	GPE
eajbcs-694	237	1	fourth	ORDINAL
eajbcs-694	237	2	j(e0	GPE
eajbcs-694	239	1	βσ3s	NORP
eajbcs-694	239	2	0 0	PERCENT
eajbcs-694	242	1	1−	ORDINAL
eajbcs-694	242	2	ε γ	GPE
eajbcs-694	244	1	2 +	DATE
eajbcs-694	245	1	k1(δ + µ)(1−	DATE
eajbcs-694	245	2	r1 +r2	ORG
eajbcs-694	246	1	k1k2(δ + µ)(1−r0	ORG
eajbcs-694	247	1	0	CARDINAL
eajbcs-694	249	1	3 +	CARDINAL
eajbcs-694	249	2	2 +	DATE
eajbcs-694	250	1	1	CARDINAL
eajbcs-694	250	2	k1(δ + µ)(1−	DATE
eajbcs-694	250	3	r1 +r2	ORG
eajbcs-694	252	1	a3 = k1k2(δ + µ)(1−r0	PERSON
eajbcs-694	254	1	+ µ)2(1−r1)(1−	PERSON
eajbcs-694	255	1	2	CARDINAL
eajbcs-694	256	1	k1k2(δ + µ)(1−r1	ORG
eajbcs-694	260	1	1	CARDINAL
eajbcs-694	260	2	r3	ORG
eajbcs-694	263	1	1	CARDINAL
eajbcs-694	264	1	j(e0	GPE
eajbcs-694	265	1	routh-hurwitz	ORG
eajbcs-694	266	1	1	CARDINAL
eajbcs-694	267	1	east afr	LOC
eajbcs-694	268	1	j. biophys	PERSON
eajbcs-694	269	1	comput	PERSON
eajbcs-694	270	1	sci.	ORG
eajbcs-694	271	1	2024	CARDINAL
eajbcs-694	271	2	5	CARDINAL
eajbcs-694	271	3	2	CARDINAL
eajbcs-694	271	4	58-86	DATE
eajbcs-694	272	1	3.4	CARDINAL
eajbcs-694	273	1	2	CARDINAL
eajbcs-694	273	2	≥ s. proof	PERSON
eajbcs-694	274	1	2	CARDINAL
eajbcs-694	276	1	1	CARDINAL
eajbcs-694	276	2	0	DATE
eajbcs-694	276	3	1	CARDINAL
eajbcs-694	277	1	3.3	CARDINAL
eajbcs-694	277	2	castillo-chavez	ORG
eajbcs-694	277	3	castillo-chavez et al	PERSON
eajbcs-694	278	1	2002	DATE
eajbcs-694	279	1	2	CARDINAL
eajbcs-694	280	1	1− η)ωr−	QUANTITY
eajbcs-694	280	2	ν + µ)p	ORG
eajbcs-694	280	3	1− τ)δe +	DATE
eajbcs-694	280	4	− (ω + µ)r	ORG
eajbcs-694	280	5	µ+ ρ)i	ORG
eajbcs-694	282	1	i.	PERSON
eajbcs-694	282	2	1	CARDINAL
eajbcs-694	283	1	1− η)ωr−	QUANTITY
eajbcs-694	283	2	ν + µ)p	ORG
eajbcs-694	284	1	5	CARDINAL
eajbcs-694	284	2	5	CARDINAL
eajbcs-694	284	3	+ µ)s +	DATE
eajbcs-694	285	1	61	CARDINAL
eajbcs-694	285	2	1− η)ωr	TIME
eajbcs-694	285	3	62	CARDINAL
eajbcs-694	285	4	+ µ)r	PERSON
eajbcs-694	285	5	63	CARDINAL
eajbcs-694	286	1	j. biophys	PERSON
eajbcs-694	287	1	comput	PERSON
eajbcs-694	288	1	sci.	ORG
eajbcs-694	289	1	2024	CARDINAL
eajbcs-694	289	2	5	CARDINAL
eajbcs-694	289	3	2	CARDINAL
eajbcs-694	289	4	58-86	DATE
eajbcs-694	294	1	ω	CARDINAL
eajbcs-694	296	1	µ(θ + ν +	PERSON
eajbcs-694	299	1	ω	CARDINAL
eajbcs-694	300	1	1−	ORDINAL
eajbcs-694	301	1	r(t	GPE
eajbcs-694	303	1	r(t	GPE
eajbcs-694	304	1	1	CARDINAL
eajbcs-694	305	1	1	CARDINAL
eajbcs-694	308	1	0	CARDINAL
eajbcs-694	308	2	1	CARDINAL
eajbcs-694	308	3	0	DATE
eajbcs-694	308	4	ω	ORG
eajbcs-694	309	1	1	CARDINAL
eajbcs-694	311	1	βσ3s	NORP
eajbcs-694	312	1	−(α + ε+	GPE
eajbcs-694	312	2	µ+ ρ	ORG
eajbcs-694	316	1	az2 −g(z1	PERSON
eajbcs-694	318	1		GPE
eajbcs-694	319	1	0	DATE
eajbcs-694	320	1	castillo-chavez	PERSON
eajbcs-694	320	2	castillo-chavez et al	PERSON
eajbcs-694	321	1	2002	DATE
eajbcs-694	321	2	2	CARDINAL
eajbcs-694	321	3	1	CARDINAL
eajbcs-694	321	4	east afr	LOC
eajbcs-694	322	1	j. biophys	PERSON
eajbcs-694	323	1	comput	PERSON
eajbcs-694	324	1	sci.	ORG
eajbcs-694	325	1	2024	CARDINAL
eajbcs-694	325	2	5	CARDINAL
eajbcs-694	325	3	2	CARDINAL
eajbcs-694	325	4	58-86	PERCENT
eajbcs-694	325	5	3.6	CARDINAL
eajbcs-694	327	1	∗	CARDINAL
eajbcs-694	327	2	e∗	GPE
eajbcs-694	327	3	i∗	ORG
eajbcs-694	327	4	h∗	ORG
eajbcs-694	327	5	r∗	PERSON
eajbcs-694	328	1	2	CARDINAL
eajbcs-694	328	2	zero	CARDINAL
eajbcs-694	329	1	θs0k	PERSON
eajbcs-694	329	2	e∗	ORG
eajbcs-694	329	3	1	CARDINAL
eajbcs-694	330	1	1	CARDINAL
eajbcs-694	330	2	h∗	ORG
eajbcs-694	330	3	1	CARDINAL
eajbcs-694	330	4	1	CARDINAL
eajbcs-694	332	1	1	CARDINAL
eajbcs-694	333	1	1	CARDINAL
eajbcs-694	334	1	λ∗	PRODUCT
eajbcs-694	335	1	∗ +	DATE
eajbcs-694	336	1	7	CARDINAL
eajbcs-694	336	2	e∗	GPE
eajbcs-694	336	3	i∗	ORG
eajbcs-694	336	4	h∗	ORG
eajbcs-694	336	5	λ∗	PRODUCT
eajbcs-694	336	6	λ∗ = µk1k2(δ	GPE
eajbcs-694	336	7	1	CARDINAL
eajbcs-694	336	8	2	CARDINAL
eajbcs-694	336	9	1	CARDINAL
eajbcs-694	339	1	3.7	CARDINAL
eajbcs-694	340	1	3.6	CARDINAL
eajbcs-694	341	1	2	CARDINAL
eajbcs-694	341	2	3.5	CARDINAL
eajbcs-694	342	1	∗	CARDINAL
eajbcs-694	342	2	e∗	GPE
eajbcs-694	342	3	i∗	ORG
eajbcs-694	342	4	h∗	ORG
eajbcs-694	342	5	r∗	PERSON
eajbcs-694	342	6	1	CARDINAL
eajbcs-694	342	7	λ∗	PRODUCT
eajbcs-694	342	8	λ∗	PRODUCT
eajbcs-694	342	9	2	CARDINAL
eajbcs-694	343	1	1	CARDINAL
eajbcs-694	343	2	east afr	LOC
eajbcs-694	344	1	j. biophys	PERSON
eajbcs-694	345	1	comput	PERSON
eajbcs-694	346	1	sci.	ORG
eajbcs-694	347	1	2024	CARDINAL
eajbcs-694	347	2	5	CARDINAL
eajbcs-694	347	3	2	CARDINAL
eajbcs-694	347	4	58-86	DATE
eajbcs-694	348	1	castillo-chavez	PERSON
eajbcs-694	348	2	2004	DATE
eajbcs-694	349	1	2	CARDINAL
eajbcs-694	351	1	x3	GPE
eajbcs-694	351	2	x4	GPE
eajbcs-694	351	3	x5	GPE
eajbcs-694	351	4	2	CARDINAL
eajbcs-694	352	1	f1	PERSON
eajbcs-694	352	2	f2	ORG
eajbcs-694	352	3	f4	CARDINAL
eajbcs-694	352	4	f6	GPE
eajbcs-694	354	1	1	CARDINAL
eajbcs-694	356	1	+ ε+	GPE
eajbcs-694	357	1	jacobian	NORP
eajbcs-694	357	2	2	CARDINAL
eajbcs-694	357	3	j∗ =  −(θ + µ	ORG
eajbcs-694	358	1	0	CARDINAL
eajbcs-694	358	2	θ −(ν + µ	ORG
eajbcs-694	358	3	0	CARDINAL
eajbcs-694	359	1	1−	ORDINAL
eajbcs-694	359	2	0	CARDINAL
eajbcs-694	360	1	0	CARDINAL
eajbcs-694	363	1	0	CARDINAL
eajbcs-694	364	1	0	CARDINAL
eajbcs-694	364	2	0 0 τδ	PERCENT
eajbcs-694	366	1	1−	ORDINAL
eajbcs-694	366	2	ε γ	GPE
eajbcs-694	366	3	+ ε+	GPE
eajbcs-694	367	1	jacobian	NORP
eajbcs-694	367	2	j∗	ORG
eajbcs-694	367	3	zero	CARDINAL
eajbcs-694	367	4	w	PERSON
eajbcs-694	367	5	w3	CARDINAL
eajbcs-694	367	6	j∗	ORG
eajbcs-694	367	7	zero	CARDINAL
eajbcs-694	371	1	2−	CARDINAL
eajbcs-694	371	2	1− η	PRODUCT
eajbcs-694	373	1	w3 = α	PERSON
eajbcs-694	373	2	+ ε+	GPE
eajbcs-694	373	3	µ+ ρ τδ w4	ORG
eajbcs-694	373	4	0	CARDINAL
eajbcs-694	373	5	γ +	GPE
eajbcs-694	373	6	1− τ)(α + ε+	DATE
eajbcs-694	373	7	τ(ω + µ)(γ +	LAW
eajbcs-694	374	1	v6	GPE
eajbcs-694	374	2	j∗	ORG
eajbcs-694	374	3	zero	CARDINAL
eajbcs-694	374	4	0	CARDINAL
eajbcs-694	375	1	γ +	GPE
eajbcs-694	376	1	east afr	LOC
eajbcs-694	377	1	j. biophys	PERSON
eajbcs-694	378	1	comput	PERSON
eajbcs-694	379	1	sci.	ORG
eajbcs-694	380	1	2024	CARDINAL
eajbcs-694	380	2	5	CARDINAL
eajbcs-694	380	3	2	CARDINAL
eajbcs-694	380	4	58-86 69	DATE
eajbcs-694	380	5	first	ORDINAL
eajbcs-694	380	6	second	ORDINAL
eajbcs-694	380	7	six	CARDINAL
eajbcs-694	380	8	zero	CARDINAL
eajbcs-694	380	9	f1	PERSON
eajbcs-694	380	10	f2	ORG
eajbcs-694	380	11	f6	LOC
eajbcs-694	381	1	f4	CARDINAL
eajbcs-694	382	1	∂x5∂x1	NORP
eajbcs-694	382	2	∂x3∂β	PERSON
eajbcs-694	382	3	0	CARDINAL
eajbcs-694	382	4	∂x5∂β =	NORP
eajbcs-694	383	1	1	CARDINAL
eajbcs-694	384	1	∂xi∂xj (s0	ORG
eajbcs-694	384	2	0	CARDINAL
eajbcs-694	384	3	0	DATE
eajbcs-694	384	4	0	DATE
eajbcs-694	384	5	0	DATE
eajbcs-694	384	6	0	CARDINAL
eajbcs-694	385	1	2v3w1	CARDINAL
eajbcs-694	385	2	w3β	CARDINAL
eajbcs-694	387	1	2β∗w1	CARDINAL
eajbcs-694	388	1	2(δ +	DATE
eajbcs-694	388	2	k21k2	PERSON
eajbcs-694	388	3	µ(ν	PRODUCT
eajbcs-694	389	1	2 4	DATE
eajbcs-694	391	1	0	CARDINAL
eajbcs-694	391	2	0	DATE
eajbcs-694	391	3	0	DATE
eajbcs-694	391	4	0	DATE
eajbcs-694	396	1	µ+ ρ	ORG
eajbcs-694	397	1	0	CARDINAL
eajbcs-694	398	1	β∗.	DATE
eajbcs-694	398	2	4.1	CARDINAL
eajbcs-694	398	3	castillo-chavez	ORG
eajbcs-694	398	4	2004	DATE
eajbcs-694	398	5	2	CARDINAL
eajbcs-694	398	6	1	CARDINAL
eajbcs-694	398	7	1	CARDINAL
eajbcs-694	398	8	3.8	CARDINAL
eajbcs-694	399	1	castillochavez	GPE
eajbcs-694	399	2	2004	DATE
eajbcs-694	400	1	4.1	CARDINAL
eajbcs-694	400	2	castillochavez	GPE
eajbcs-694	400	3	2004	DATE
eajbcs-694	401	1	two	CARDINAL
eajbcs-694	403	1	0	CARDINAL
eajbcs-694	404	1	3.6	CARDINAL
eajbcs-694	404	2	2	CARDINAL
eajbcs-694	404	3	1	CARDINAL
eajbcs-694	406	1	1	CARDINAL
eajbcs-694	406	2	1	CARDINAL
eajbcs-694	407	1	2	CARDINAL
eajbcs-694	408	1	east afr	LOC
eajbcs-694	409	1	j. biophys	PERSON
eajbcs-694	410	1	comput	PERSON
eajbcs-694	411	1	sci.	ORG
eajbcs-694	412	1	2024	CARDINAL
eajbcs-694	412	2	5	CARDINAL
eajbcs-694	412	3	2	CARDINAL
eajbcs-694	412	4	58	CARDINAL
eajbcs-694	412	5	2	CARDINAL
eajbcs-694	412	6	covid-19	ORG
eajbcs-694	412	7	2	CARDINAL
eajbcs-694	413	1	2	CARDINAL
eajbcs-694	413	2	2	CARDINAL
eajbcs-694	414	1	1	CARDINAL
eajbcs-694	414	2	0	CARDINAL
eajbcs-694	415	1	1	CARDINAL
eajbcs-694	415	2	3.9	CARDINAL
eajbcs-694	416	1	2015	CARDINAL
eajbcs-694	417	1	σ3	NORP
eajbcs-694	417	2	ν	NORP
eajbcs-694	417	3	γ	GPE
eajbcs-694	417	4	ρ	GPE
eajbcs-694	420	1	µ+ ρ	ORG
eajbcs-694	421	1	2	CARDINAL
eajbcs-694	422	1	3	CARDINAL
eajbcs-694	422	2	3	CARDINAL
eajbcs-694	423	1	east afr	LOC
eajbcs-694	424	1	j. biophys	PERSON
eajbcs-694	425	1	comput	PERSON
eajbcs-694	426	1	sci.	ORG
eajbcs-694	427	1	2024	CARDINAL
eajbcs-694	427	2	5	CARDINAL
eajbcs-694	427	3	2	CARDINAL
eajbcs-694	427	4	58	CARDINAL
eajbcs-694	427	5	71	CARDINAL
eajbcs-694	428	1	1	CARDINAL
eajbcs-694	429	1	∂r0 ∂π × π	ORG
eajbcs-694	429	2	1	CARDINAL
eajbcs-694	430	1	∂r0	GPE
eajbcs-694	430	2	∂σ1 × σ1	ORG
eajbcs-694	430	3	σ1τδ(γ +	DATE
eajbcs-694	431	1	µ+ ρ	ORG
eajbcs-694	431	2	+ σ3τδα	PERSON
eajbcs-694	431	3	△r0	ORG
eajbcs-694	432	1	∂r0 ∂σ2 × σ2	ORG
eajbcs-694	434	1	µ+ ρ	ORG
eajbcs-694	434	2	+ σ3τδα	PERSON
eajbcs-694	435	1	σ3τδα	GPE
eajbcs-694	436	1	µ+ ρ	ORG
eajbcs-694	436	2	+ σ3τδα	PERSON
eajbcs-694	437	1	σ1(γ +	DATE
eajbcs-694	439	1	µ+ ρ	ORG
eajbcs-694	439	2	+ σ3τδα	PERSON
eajbcs-694	439	3	△r0	NORP
eajbcs-694	441	1	∂r0	GPE
eajbcs-694	441	2	ατδ	TIME
eajbcs-694	442	1	ρ)−	CARDINAL
eajbcs-694	442	2	µ+ ρ	ORG
eajbcs-694	444	1	µ+ ρ	ORG
eajbcs-694	445	1	∂r0	GPE
eajbcs-694	447	1	µ+ ρ	ORG
eajbcs-694	449	1	µ+ ρ	ORG
eajbcs-694	450	1	∂r0	GPE
eajbcs-694	454	1	µ+ ρ	ORG
eajbcs-694	456	1	µ+ ρ	ORG
eajbcs-694	457	1	µ+ ρ	ORG
eajbcs-694	459	1	µ+ ρ	ORG
eajbcs-694	460	1	∂r0 ∂γ × γ	ORG
eajbcs-694	463	1	µ+ ρ	ORG
eajbcs-694	466	1	µ+ ρ	ORG
eajbcs-694	466	2	1	CARDINAL
eajbcs-694	466	3	µ+ ρ)2(γ	ORG
eajbcs-694	469	1	+ σ3τδα	PERSON
eajbcs-694	469	2	+ 3µ2	DATE
eajbcs-694	469	3	2µδ(θ + ν	MONEY
eajbcs-694	469	4	+ 4µ3	DATE
eajbcs-694	469	5	3µ2δ(θ + ν	MONEY
eajbcs-694	470	1	µ+ ρ	ORG
eajbcs-694	471	1	east afr	LOC
eajbcs-694	472	1	j. biophys	PERSON
eajbcs-694	473	1	comput	PERSON
eajbcs-694	474	1	sci.	ORG
eajbcs-694	475	1	2024	CARDINAL
eajbcs-694	475	2	5	CARDINAL
eajbcs-694	475	3	2	CARDINAL
eajbcs-694	475	4	58-86	DATE
eajbcs-694	477	1	3	CARDINAL
eajbcs-694	478	1	3	CARDINAL
eajbcs-694	479	1	σ3	NORP
eajbcs-694	479	2	ν	NORP
eajbcs-694	480	1	covid-19	PRODUCT
eajbcs-694	481	1	ρ	GPE
eajbcs-694	481	2	γ	GPE
eajbcs-694	483	1	4	CARDINAL
eajbcs-694	484	1	ode45	PRODUCT
eajbcs-694	485	1	3	CARDINAL
eajbcs-694	485	2	2	CARDINAL
eajbcs-694	488	1	ethiopia	GPE
eajbcs-694	488	2	the year 2021	DATE
eajbcs-694	488	3	114	CARDINAL
eajbcs-694	488	4	963	CARDINAL
eajbcs-694	488	5	588	CARDINAL
eajbcs-694	488	6	2022	CARDINAL
eajbcs-694	489	1	december 31, 2020	DATE
eajbcs-694	489	2	10,245	CARDINAL
eajbcs-694	489	3	10	CARDINAL
eajbcs-694	489	4	245	CARDINAL
eajbcs-694	490	1	5062	DATE
eajbcs-694	491	1	81	CARDINAL
eajbcs-694	491	2	144	CARDINAL
eajbcs-694	491	3	0	CARDINAL
eajbcs-694	491	4	108076	DATE
eajbcs-694	491	5	15000	CARDINAL
eajbcs-694	495	1	114	CARDINAL
eajbcs-694	495	2	744	CARDINAL
eajbcs-694	495	3	061	CARDINAL
eajbcs-694	496	1	east afr	LOC
eajbcs-694	497	1	j. biophys	PERSON
eajbcs-694	498	1	comput	PERSON
eajbcs-694	499	1	sci.	ORG
eajbcs-694	500	1	2024	CARDINAL
eajbcs-694	500	2	5	CARDINAL
eajbcs-694	500	3	2	CARDINAL
eajbcs-694	500	4	58-86 73	PERCENT
eajbcs-694	500	5	3	CARDINAL
eajbcs-694	501	1	1300	CARDINAL
eajbcs-694	501	2	0.7	CARDINAL
eajbcs-694	501	3	0.15	CARDINAL
eajbcs-694	501	4	0.00000058	MONEY
eajbcs-694	501	5	0.0001	CARDINAL
eajbcs-694	501	6	2020	DATE
eajbcs-694	501	7	0.02	CARDINAL
eajbcs-694	501	8	2020	DATE
eajbcs-694	501	9	σ3 0.00003	PERSON
eajbcs-694	501	10	1/14	CARDINAL
eajbcs-694	501	11	2022	CARDINAL
eajbcs-694	501	12	0.04	CARDINAL
eajbcs-694	501	13	1/(64	CARDINAL
eajbcs-694	501	14	12	CARDINAL
eajbcs-694	501	15	2022	CARDINAL
eajbcs-694	501	16	0.0004	CARDINAL
eajbcs-694	501	17	2020	DATE
eajbcs-694	501	18	0.015	CARDINAL
eajbcs-694	501	19	0.7	CARDINAL
eajbcs-694	501	20	2020	DATE
eajbcs-694	501	21	0.0476	CARDINAL
eajbcs-694	501	22	0.033	CARDINAL
eajbcs-694	501	23	η 0.4	ORG
eajbcs-694	501	24	ω 0.011	ORG
eajbcs-694	501	25	east afr	LOC
eajbcs-694	502	1	j. biophys	PERSON
eajbcs-694	503	1	comput	PERSON
eajbcs-694	504	1	sci.	ORG
eajbcs-694	505	1	2024	CARDINAL
eajbcs-694	505	2	5	CARDINAL
eajbcs-694	505	3	2	CARDINAL
eajbcs-694	505	4	58-86	DATE
eajbcs-694	505	5	4	CARDINAL
eajbcs-694	505	6	ethiopia	GPE
eajbcs-694	505	7	31 december 2020 to	DATE
eajbcs-694	505	8	30	CARDINAL
eajbcs-694	505	9	covid-19	FAC
eajbcs-694	505	10	2022	CARDINAL
eajbcs-694	506	1	ethiopia	GPE
eajbcs-694	508	1	4	CARDINAL
eajbcs-694	508	2	2	CARDINAL
eajbcs-694	508	3	ethiopia	GPE
eajbcs-694	508	4	31 december 2020 to	DATE
eajbcs-694	508	5	30	CARDINAL
eajbcs-694	508	6	2022	CARDINAL
eajbcs-694	508	7	5	CARDINAL
eajbcs-694	510	1	6	CARDINAL
eajbcs-694	510	2	1.10791	CARDINAL
eajbcs-694	510	3	1	CARDINAL
eajbcs-694	511	1	1	CARDINAL
eajbcs-694	513	1	7	CARDINAL
eajbcs-694	515	1	2021	CARDINAL
eajbcs-694	518	1	east afr	LOC
eajbcs-694	519	1	j. biophys	PERSON
eajbcs-694	520	1	comput	PERSON
eajbcs-694	521	1	sci.	ORG
eajbcs-694	522	1	2024	CARDINAL
eajbcs-694	522	2	5	CARDINAL
eajbcs-694	522	3	2	CARDINAL
eajbcs-694	522	4	58-86	PERCENT
eajbcs-694	522	5	5	CARDINAL
eajbcs-694	522	6	2	CARDINAL
eajbcs-694	522	7	0.22950	CARDINAL
eajbcs-694	523	1	ahmed et al	PERSON
eajbcs-694	524	1	2021	CARDINAL
eajbcs-694	525	1	5	CARDINAL
eajbcs-694	526	1	5.1	CARDINAL
eajbcs-694	527	1	covid-19	PRODUCT
eajbcs-694	528	1	θ(t	PERSON
eajbcs-694	528	2	0 ≤ θ(t	QUANTITY
eajbcs-694	528	3	0 ≤	MONEY
eajbcs-694	528	4	1	CARDINAL
eajbcs-694	528	5	2	CARDINAL
eajbcs-694	528	6	9	CARDINAL
eajbcs-694	528	7	θ(t	PERSON
eajbcs-694	532	1	+ 1 2	MONEY
eajbcs-694	534	1	10	CARDINAL
eajbcs-694	535	1	θ(t	PERSON
eajbcs-694	535	2	10	CARDINAL
eajbcs-694	535	3	2	CARDINAL
eajbcs-694	536	1	α∗(t	PERSON
eajbcs-694	537	1	j [θ∗(t	PERSON
eajbcs-694	540	1	11	CARDINAL
eajbcs-694	541	1	j. biophys	PERSON
eajbcs-694	542	1	comput	PERSON
eajbcs-694	543	1	sci.	ORG
eajbcs-694	544	1	2024	CARDINAL
eajbcs-694	544	2	5	CARDINAL
eajbcs-694	544	3	2	CARDINAL
eajbcs-694	544	4	58-86	DATE
eajbcs-694	544	5	6	CARDINAL
eajbcs-694	544	6	2	CARDINAL
eajbcs-694	544	7	1.11073	CARDINAL
eajbcs-694	544	8	7	CARDINAL
eajbcs-694	545	1	5.2	CARDINAL
eajbcs-694	545	2	fleming	ORG
eajbcs-694	545	3	east afr	LOC
eajbcs-694	546	1	j. biophys	PERSON
eajbcs-694	547	1	comput	PERSON
eajbcs-694	548	1	sci.	ORG
eajbcs-694	549	1	2024	CARDINAL
eajbcs-694	549	2	5	CARDINAL
eajbcs-694	549	3	2	CARDINAL
eajbcs-694	549	4	58-86	DATE
eajbcs-694	549	5	8	CARDINAL
eajbcs-694	550	1	rishel	PERSON
eajbcs-694	550	2	2012	DATE
eajbcs-694	551	1	5.1	CARDINAL
eajbcs-694	552	1	10	CARDINAL
eajbcs-694	552	2	2	CARDINAL
eajbcs-694	552	3	θ∗, α∗	ORG
eajbcs-694	556	1	12	CARDINAL
eajbcs-694	558	1	2	CARDINAL
eajbcs-694	558	2	9	CARDINAL
eajbcs-694	560	1	2	CARDINAL
eajbcs-694	561	1	θ(t	PERSON
eajbcs-694	562	1	3.2	CARDINAL
eajbcs-694	562	2	2	CARDINAL
eajbcs-694	563	1	max	PERSON
eajbcs-694	565	1	2	CARDINAL
eajbcs-694	566	1	2	CARDINAL
eajbcs-694	570	1	0	CARDINAL
eajbcs-694	570	2	1	CARDINAL
eajbcs-694	570	3	v2 ∈	PERSON
eajbcs-694	572	1	east afr	LOC
eajbcs-694	573	1	j. biophys	PERSON
eajbcs-694	574	1	comput	PERSON
eajbcs-694	575	1	sci.	ORG
eajbcs-694	576	1	2024	CARDINAL
eajbcs-694	576	2	5	CARDINAL
eajbcs-694	576	3	2	CARDINAL
eajbcs-694	576	4	58-86 78	DATE
eajbcs-694	576	5	θ(t	PERSON
eajbcs-694	577	1	2	CARDINAL
eajbcs-694	578	1	1− η)ωr−	QUANTITY
eajbcs-694	578	2	ν + µ)p	ORG
eajbcs-694	578	3	1− τ)δe +	DATE
eajbcs-694	578	4	− (ω + µ)r	ORG
eajbcs-694	579	1	13	CARDINAL
eajbcs-694	579	2	13	CARDINAL
eajbcs-694	579	3	g(t	PERSON
eajbcs-694	580	1	g(t	NORP
eajbcs-694	580	2	1− η)ωr−	QUANTITY
eajbcs-694	580	3	ν + µ)p	ORG
eajbcs-694	581	1	1− τ)δe +	DATE
eajbcs-694	581	2	− (ω + µ)r	ORG
eajbcs-694	581	3	0	CARDINAL
eajbcs-694	581	4	0	CARDINAL
eajbcs-694	582	1	0	CARDINAL
eajbcs-694	584	1	|| ≤ ||g(t	FAC
eajbcs-694	584	2	||h(t	GPE
eajbcs-694	586	1	10	CARDINAL
eajbcs-694	588	1	+ 1 2	MONEY
eajbcs-694	590	1	14	CARDINAL
eajbcs-694	590	2	θ(t	PERSON
eajbcs-694	593	1	+ 1 2	MONEY
eajbcs-694	595	1	1 2	CARDINAL
eajbcs-694	598	1	2	CARDINAL
eajbcs-694	598	2	2	CARDINAL
eajbcs-694	598	3	0	CARDINAL
eajbcs-694	598	4	θ(t	PERSON
eajbcs-694	599	1	1 2	CARDINAL
eajbcs-694	601	1	15	CARDINAL
eajbcs-694	601	2	2	CARDINAL
eajbcs-694	601	3	2	CARDINAL
eajbcs-694	601	4	0	CARDINAL
eajbcs-694	608	1	θ∗, α∗	ORG
eajbcs-694	610	1	5.3	CARDINAL
eajbcs-694	611	1	2007	DATE
eajbcs-694	612	1	10	CARDINAL
eajbcs-694	612	2	2	CARDINAL
eajbcs-694	612	3	θ(t	PERSON
eajbcs-694	613	1	j. biophys	PERSON
eajbcs-694	614	1	comput	PERSON
eajbcs-694	615	1	sci.	ORG
eajbcs-694	616	1	2024	CARDINAL
eajbcs-694	616	2	5	CARDINAL
eajbcs-694	616	3	2	CARDINAL
eajbcs-694	616	4	58-86 79	PERCENT
eajbcs-694	617	1	+ 1 2	DATE
eajbcs-694	617	2	2	CARDINAL
eajbcs-694	619	1	1− η)ωr−	QUANTITY
eajbcs-694	619	2	ν + µ)p	ORG
eajbcs-694	622	1	− (ω + µ)r	ORG
eajbcs-694	622	2	16	CARDINAL
eajbcs-694	622	3	1	CARDINAL
eajbcs-694	622	4	2	DATE
eajbcs-694	622	5	3	DATE
eajbcs-694	622	6	4	DATE
eajbcs-694	622	7	5	DATE
eajbcs-694	622	8	6	DATE
eajbcs-694	622	9	2007	DATE
eajbcs-694	623	1	5.2	CARDINAL
eajbcs-694	628	1	dλ2	PERSON
eajbcs-694	629	1	−νλ1	ORG
eajbcs-694	629	2	−b1 +	DATE
eajbcs-694	632	1	1−	ORDINAL
eajbcs-694	634	1	dλ5	PERSON
eajbcs-694	636	1	γλ6	DATE
eajbcs-694	636	2	dλ6	PRODUCT
eajbcs-694	637	1	−	PERSON
eajbcs-694	638	1	17	CARDINAL
eajbcs-694	639	1	1	CARDINAL
eajbcs-694	639	2	6	CARDINAL
eajbcs-694	639	3	18	CARDINAL
eajbcs-694	639	4	θ∗	ORG
eajbcs-694	639	5	max	PERSON
eajbcs-694	639	6	0,min	CARDINAL
eajbcs-694	639	7	s(λ1 − λ2	GPE
eajbcs-694	639	8	max	PERSON
eajbcs-694	639	9	0,min	CARDINAL
eajbcs-694	640	1	19	CARDINAL
eajbcs-694	641	1	2007	DATE
eajbcs-694	642	1	16	CARDINAL
eajbcs-694	643	1	j. biophys	PERSON
eajbcs-694	644	1	comput	PERSON
eajbcs-694	645	1	sci.	ORG
eajbcs-694	646	1	2024	CARDINAL
eajbcs-694	646	2	5	CARDINAL
eajbcs-694	646	3	2	CARDINAL
eajbcs-694	646	4	58-86	PERCENT
eajbcs-694	649	1	dλ2	PERSON
eajbcs-694	649	2	∂p =	PERSON
eajbcs-694	653	1	1−	ORDINAL
eajbcs-694	655	1	dλ5	PERSON
eajbcs-694	657	1	γλ6	DATE
eajbcs-694	657	2	dλ6	PRODUCT
eajbcs-694	658	1	−	PERSON
eajbcs-694	659	1	1	CARDINAL
eajbcs-694	659	2	6	CARDINAL
eajbcs-694	659	3	2018	DATE
eajbcs-694	659	4	θ∗(t	ORG
eajbcs-694	659	5	α∗(t	PERSON
eajbcs-694	660	1	0	CARDINAL
eajbcs-694	662	1	max	PERSON
eajbcs-694	662	2	0,min	CARDINAL
eajbcs-694	662	3	s(λ1 − λ2	GPE
eajbcs-694	663	1	max	PERSON
eajbcs-694	663	2	0,min	CARDINAL
eajbcs-694	665	1	2	CARDINAL
eajbcs-694	665	2	17	CARDINAL
eajbcs-694	666	1	east afr	LOC
eajbcs-694	667	1	j. biophys	PERSON
eajbcs-694	668	1	comput	PERSON
eajbcs-694	669	1	sci.	ORG
eajbcs-694	670	1	2024	CARDINAL
eajbcs-694	670	2	5	CARDINAL
eajbcs-694	670	3	2	CARDINAL
eajbcs-694	670	4	58-86	PERCENT
eajbcs-694	671	1	θ∗ + µ)s	ORG
eajbcs-694	671	2	1− η)ωr−	QUANTITY
eajbcs-694	671	3	ν + µ)p	ORG
eajbcs-694	671	4	+ σ2e	DATE
eajbcs-694	672	1	di	ORG
eajbcs-694	673	1	1− τ)δe	DATE
eajbcs-694	674	1	− (ω + µ)r	ORG
eajbcs-694	674	2	dλ1	PERSON
eajbcs-694	676	1	dλ2	PERSON
eajbcs-694	677	1	−νλ1	ORG
eajbcs-694	677	2	−b1 +	DATE
eajbcs-694	680	1	1−	ORDINAL
eajbcs-694	682	1	dλ5	PERSON
eajbcs-694	684	1	γλ6	DATE
eajbcs-694	684	2	dλ6	PRODUCT
eajbcs-694	685	1	−	PERSON
eajbcs-694	686	1	1	CARDINAL
eajbcs-694	686	2	6	CARDINAL
eajbcs-694	686	3	0	CARDINAL
eajbcs-694	686	4	h(0	PERSON
eajbcs-694	687	1	i0	GPE
eajbcs-694	688	1	6	CARDINAL
eajbcs-694	688	2	2	CARDINAL
eajbcs-694	688	3	2	CARDINAL
eajbcs-694	688	4	17	CARDINAL
eajbcs-694	688	5	19	CARDINAL
eajbcs-694	689	1	3	CARDINAL
eajbcs-694	691	1	2	CARDINAL
eajbcs-694	691	2	17	CARDINAL
eajbcs-694	691	3	fourth	ORDINAL
eajbcs-694	691	4	kutta	NORP
eajbcs-694	691	5	kutta	NORP
eajbcs-694	696	1	2007	DATE
eajbcs-694	697	1	1	CARDINAL
eajbcs-694	697	2	40	CARDINAL
eajbcs-694	697	3	80	CARDINAL
eajbcs-694	697	4	350 days	DATE
eajbcs-694	697	5	covid-19	PRODUCT
eajbcs-694	698	1	110079	DATE
eajbcs-694	698	2	0	CARDINAL
eajbcs-694	698	3	108076	DATE
eajbcs-694	698	4	15000	CARDINAL
eajbcs-694	698	5	13813	DATE
eajbcs-694	698	6	h(0	PERSON
eajbcs-694	698	7	10050	DATE
eajbcs-694	698	8	12156	DATE
eajbcs-694	699	1	east afr	LOC
eajbcs-694	700	1	j. biophys	PERSON
eajbcs-694	701	1	comput	PERSON
eajbcs-694	702	1	sci.	ORG
eajbcs-694	703	1	2024	CARDINAL
eajbcs-694	703	2	5	CARDINAL
eajbcs-694	703	3	2	CARDINAL
eajbcs-694	703	4	58-86	PERCENT
eajbcs-694	703	5	6.1	CARDINAL
eajbcs-694	705	1	first	ORDINAL
eajbcs-694	706	1	91	CARDINAL
eajbcs-694	706	2	101	CARDINAL
eajbcs-694	708	1	50	CARDINAL
eajbcs-694	708	2	days	DATE
eajbcs-694	708	3	16	CARDINAL
eajbcs-694	709	1	3=0.01 3=0.24	CARDINAL
eajbcs-694	710	1	3=0.7	CARDINAL
eajbcs-694	710	2	1	CARDINAL
eajbcs-694	710	3	days	DATE
eajbcs-694	710	4	2 4 6 8 10 12 14	TIME
eajbcs-694	712	1	p op ula tio n	PERSON
eajbcs-694	713	1	3=0.01 3=0.24	CARDINAL
eajbcs-694	714	1	3=0.7	CARDINAL
eajbcs-694	714	2	2	CARDINAL
eajbcs-694	714	3	days 1	DATE
eajbcs-694	714	4	ec	ORG
eajbcs-694	714	5	p op ula tio n	PERSON
eajbcs-694	715	1	3=0.01 3=0.24	CARDINAL
eajbcs-694	716	1	3=0.7	CARDINAL
eajbcs-694	716	2	3	CARDINAL
eajbcs-694	716	3	days	DATE
eajbcs-694	716	4	0.4 0.5 0.6	QUANTITY
eajbcs-694	716	5	0.9 1	CARDINAL
eajbcs-694	719	1	9	CARDINAL
eajbcs-694	725	1	92	CARDINAL
eajbcs-694	726	1	102	CARDINAL
eajbcs-694	728	1	93	CARDINAL
eajbcs-694	729	1	103	CARDINAL
eajbcs-694	731	1	9d	CARDINAL
eajbcs-694	731	2	10d	ORDINAL
eajbcs-694	732	1	j. biophys	PERSON
eajbcs-694	733	1	comput	PERSON
eajbcs-694	734	1	sci.	ORG
eajbcs-694	735	1	2024	CARDINAL
eajbcs-694	735	2	5	CARDINAL
eajbcs-694	735	3	2	CARDINAL
eajbcs-694	735	4	58-86	DATE
eajbcs-694	735	5	50	CARDINAL
eajbcs-694	735	6	days 2	DATE
eajbcs-694	735	7	10	CARDINAL
eajbcs-694	735	8	0.1	CARDINAL
eajbcs-694	735	9	0.16667	CARDINAL
eajbcs-694	735	10	0.23333	CARDINAL
eajbcs-694	736	1	0.3	CARDINAL
eajbcs-694	736	2	1	CARDINAL
eajbcs-694	736	3	days 1	DATE
eajbcs-694	738	1	p op ula tio n	PERSON
eajbcs-694	738	2	0.1	CARDINAL
eajbcs-694	738	3	0.16667	CARDINAL
eajbcs-694	738	4	0.23333	CARDINAL
eajbcs-694	738	5	0.3	CARDINAL
eajbcs-694	738	6	2	CARDINAL
eajbcs-694	739	1	days	DATE
eajbcs-694	739	2	0.5 1 1.5 2 2.5 3	QUANTITY
eajbcs-694	739	3	ec	ORG
eajbcs-694	739	4	p op ula tio n	PERSON
eajbcs-694	739	5	0.1	CARDINAL
eajbcs-694	739	6	0.16667	CARDINAL
eajbcs-694	739	7	0.23333	CARDINAL
eajbcs-694	740	1	0.3	CARDINAL
eajbcs-694	740	2	3	CARDINAL
eajbcs-694	740	3	days	DATE
eajbcs-694	740	4	0.4 0.5 0.6 0.7 0.8	QUANTITY
eajbcs-694	741	1	ali ze	PERSON
eajbcs-694	741	2	10	CARDINAL
eajbcs-694	745	1	the first few days	DATE
eajbcs-694	746	1	112	CARDINAL
eajbcs-694	746	2	113	CARDINAL
eajbcs-694	746	3	two	CARDINAL
eajbcs-694	747	1	two	CARDINAL
eajbcs-694	747	2	covid-19	PRODUCT
eajbcs-694	748	1	111	CARDINAL
eajbcs-694	748	2	two	CARDINAL
eajbcs-694	749	1	7	CARDINAL
eajbcs-694	749	2	covid-19	GPE
eajbcs-694	754	1	1	CARDINAL
eajbcs-694	756	1	1	CARDINAL
eajbcs-694	756	2	1	CARDINAL
eajbcs-694	757	1	east afr	LOC
eajbcs-694	758	1	j. biophys	PERSON
eajbcs-694	759	1	comput	PERSON
eajbcs-694	760	1	sci.	ORG
eajbcs-694	761	1	2024	CARDINAL
eajbcs-694	761	2	5	CARDINAL
eajbcs-694	761	3	2	CARDINAL
eajbcs-694	761	4	58-86	PERCENT
eajbcs-694	761	5	50	CARDINAL
eajbcs-694	761	6	days	DATE
eajbcs-694	761	7	6.5	CARDINAL
eajbcs-694	761	8	7	CARDINAL
eajbcs-694	761	9	only 3	CARDINAL
eajbcs-694	761	10	1	CARDINAL
eajbcs-694	762	1	days 1	DATE
eajbcs-694	764	1	p op ula tio n	PERSON
eajbcs-694	764	2	only 3	CARDINAL
eajbcs-694	764	3	2	CARDINAL
eajbcs-694	765	1	days	DATE
eajbcs-694	765	2	0.5 1 1.5 2	QUANTITY
eajbcs-694	765	3	ec	ORG
eajbcs-694	765	4	p op ula tio n	PERSON
eajbcs-694	765	5	only 3	CARDINAL
eajbcs-694	765	6	3	CARDINAL
eajbcs-694	765	7	11	CARDINAL
eajbcs-694	769	1	ahmed i.	PERSON
eajbcs-694	769	2	modu g. u.	PERSON
eajbcs-694	769	3	yusuf a.	PERSON
eajbcs-694	769	4	kumam p.	PERSON
eajbcs-694	769	5	yusuf i.	PERSON
eajbcs-694	769	6	2021	CARDINAL
eajbcs-694	769	7	covid-19	ORG
eajbcs-694	769	8	21, 103776	DATE
eajbcs-694	770	1	alemneh h. t.	PERSON
eajbcs-694	770	2	telahun g. t.	PERSON
eajbcs-694	770	3	2020	DATE
eajbcs-694	770	4	covid-19	GPE
eajbcs-694	770	5	ethiopia	GPE
eajbcs-694	771	1	allen l.	PERSON
eajbcs-694	771	2	brauer f.	PERSON
eajbcs-694	771	3	van den driessche p.	PERSON
eajbcs-694	771	4	wu	PERSON
eajbcs-694	771	5	j. (	PERSON
eajbcs-694	771	6	2008	DATE
eajbcs-694	771	7	14	DATE
eajbcs-694	772	1	bachar m.	PERSON
eajbcs-694	772	2	khamsi m. a.	PERSON
eajbcs-694	772	3	bounkhel m.	PERSON
eajbcs-694	772	4	2021	CARDINAL
eajbcs-694	772	5	covid-19	PRODUCT
eajbcs-694	772	6	saudi arabia	GPE
eajbcs-694	772	7	2021(1	CARDINAL
eajbcs-694	773	1	brauer f.	PERSON
eajbcs-694	773	2	castillo-chavez c.	PERSON
eajbcs-694	773	3	feng z. east afr	PERSON
eajbcs-694	774	1	j. biophys	PERSON
eajbcs-694	775	1	comput	PERSON
eajbcs-694	776	1	sci.	ORG
eajbcs-694	777	1	2024	CARDINAL
eajbcs-694	777	2	5	CARDINAL
eajbcs-694	777	3	2	CARDINAL
eajbcs-694	777	4	58-86	PERCENT
eajbcs-694	778	1	less than one	CARDINAL
eajbcs-694	785	1	2019	DATE
eajbcs-694	785	2	32	DATE
eajbcs-694	786	1	castillo-chavez c. blower	PERSON
eajbcs-694	786	2	s. van den driessche p.	PERSON
eajbcs-694	786	3	kirschner d.	PERSON
eajbcs-694	786	4	yakubu a.-a	PERSON
eajbcs-694	787	1	2002	DATE
eajbcs-694	787	2	126	CARDINAL
eajbcs-694	788	1	castillo-chavez c.	PERSON
eajbcs-694	788	2	2004	DATE
eajbcs-694	788	3	mathematical biosciences &	ORG
eajbcs-694	788	4	1(2	CARDINAL
eajbcs-694	788	5	361	CARDINAL
eajbcs-694	789	1	covid-19	CARDINAL
eajbcs-694	789	2	2022	CARDINAL
eajbcs-694	789	3	covid-19	DATE
eajbcs-694	789	4	ethiopia	GPE
eajbcs-694	790	1	heesterbeek j.	PERSON
eajbcs-694	790	2	roberts m. g.	PERSON
eajbcs-694	790	3	2010	DATE
eajbcs-694	790	4	873–885	CARDINAL
eajbcs-694	791	1	w. h.	PERSON
eajbcs-694	791	2	rishel r. w.	PERSON
eajbcs-694	791	3	2012	DATE
eajbcs-694	791	4	1	CARDINAL
eajbcs-694	792	1	gurmu e. d.	PERSON
eajbcs-694	792	2	batu	GPE
eajbcs-694	792	3	g. b.	PERSON
eajbcs-694	792	4	m. s.	PERSON
eajbcs-694	792	5	2020	DATE
eajbcs-694	792	6	covid-19	PRODUCT
eajbcs-694	792	7	141–159	CARDINAL
eajbcs-694	793	1	kifle z. s.	PERSON
eajbcs-694	793	2	obsu	GPE
eajbcs-694	793	3	l. l.	PERSON
eajbcs-694	793	4	2022	CARDINAL
eajbcs-694	793	5	covid-19	ORG
eajbcs-694	793	6	ethiopia	GPE
eajbcs-694	793	7	105191	DATE
eajbcs-694	794	1	lemecha obsu l.	PERSON
eajbcs-694	794	2	2020	DATE
eajbcs-694	794	3	covid-19’	ORG
eajbcs-694	794	4	590–607	CARDINAL
eajbcs-694	795	1	lenhart s.	PERSON
eajbcs-694	795	2	j. t.	PERSON
eajbcs-694	795	3	2007	DATE
eajbcs-694	795	4	crc press	ORG
eajbcs-694	796	1	martcheva m.	PERSON
eajbcs-694	796	2	2015	DATE
eajbcs-694	796	3	61	DATE
eajbcs-694	797	1	pontryagin l. s.	PERSON
eajbcs-694	797	2	2018	DATE
eajbcs-694	798	1	sohrabi c.	PERSON
eajbcs-694	798	2	alsafi z.	PERSON
eajbcs-694	798	3	o’neill n.	GPE
eajbcs-694	798	4	khan	GPE
eajbcs-694	798	5	m.	GPE
eajbcs-694	798	6	kerwan a.	PERSON
eajbcs-694	798	7	al-jabir a.	ORG
eajbcs-694	798	8	iosifidis c.	PERSON
eajbcs-694	798	9	agha r.	PERSON
eajbcs-694	798	10	2020	DATE
eajbcs-694	798	11	2019	CARDINAL
eajbcs-694	798	12	76	CARDINAL
eajbcs-694	798	13	71	DATE
eajbcs-694	798	14	76	DATE
eajbcs-694	799	1	c. m.	PERSON
eajbcs-694	799	2	2020	DATE
eajbcs-694	799	3	covid-19	PRODUCT
eajbcs-694	799	4	philippine	NORP
eajbcs-694	799	5	5(4	CARDINAL
eajbcs-694	800	1	valcher m. e. (	PERSON
eajbcs-694	800	2	2002	DATE
eajbcs-694	800	3	mtns 2002	DATE
eajbcs-694	801	1	yang c.	PERSON
eajbcs-694	801	2	wang j.	PERSON
eajbcs-694	801	3	2020	DATE
eajbcs-694	801	4	wuhan	GPE
eajbcs-694	801	5	china	GPE
eajbcs-694	801	6	mbe 17(3	ORG
eajbcs-694	801	7	2708	DATE
eajbcs-694	802	1	east afr	LOC
eajbcs-694	803	1	j. biophys	PERSON
eajbcs-694	804	1	comput	PERSON
eajbcs-694	805	1	sci.	ORG
eajbcs-694	806	1	2024	CARDINAL
eajbcs-694	806	2	5	CARDINAL
eajbcs-694	806	3	2	CARDINAL
eajbcs-694	806	4	58-86	PERCENT
eajbcs-694	806	5	2	CARDINAL
eajbcs-694	806	6	article 5	LAW
eajbcs-694	806	7	kiros	ORG
eajbcs-694	806	8	19	CARDINAL