id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3822	Adongo, Florence A.; Lawrence, Onyango Omondi; Bonyo, Job; Lawi, G. O.; Elisha, Ogada A.	A Delayed Vaccination Model for Rotavirus Infection	2020	12	.pdf	application/pdf	3091	158	66	a8 = βI∗ a9 = βS∗ + (1− ε)V ∗(t− τ)− (δ + κ+ µ) To find the characteristic equation of the linearized system (1) at steady states, we compute the eigenvalues of the following matrix∣∣∣∣∣∣ λ− a1 a2 a3 a4 λ− [a5e −λτ + a6] a7 a8 a5e −λτ λ− a9 ∣∣∣∣∣∣ = 0 this gives λ3 +M2λ 2 +M1λ+M0 + (N2λ 2 +N1λ+N0)e−λτ = 0, (2) where M2 = −(a1 + a6 + a9) M1 = (a6a9 + a1a6 + a1a9 − a2a4 − a3a8) M0 = (−a1a6a9 − a2a4a9 − a2a7a8 + a3a6a8) N2 = −a5 N1 = (a5a9 − a5a7 + a1a5) N0 = (a1a5a7 − a1a5a9 + a3a4a5 + a3a5a8). Figure (3) shows that the endemic equilibrium E∗(35.7321, 45.5913, 6.3217) Figure 2: Simulation of system (1) shows the global stability of the disease-free equilibrium when Rv = 0.7692 is locally asymptotically stable when τ ∈	cache/ejpam-3822.pdf	txt/ejpam-3822.txt