id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4556	Badjo Kimba, Abdoul Wahid; Moustapha, Dijbo; Saley, Bisso	Mathematical Analysis and Simulation of an Age-Structured Model with Two-Patch and an Uncontrolled Migration: Application to Tuberculosis	2022	20	.pdf	application/pdf	7133	398	79	[λ1(t, a) + ψ1(a) + b(a) − µ1(a)i1(t, a) − µ2(a)i2(t, a) + ρ11]s1(t, a) + ρ21s2(t, a)( ∂ ∂t + ∂ ∂a ) l1(t, a) = λ1(t, a)[(1 − ϕ1)s1(t, a) + σ1j1(t, a) + δ1v1(t, a)] −(k1 + b(a) − µ1(a)i1(t, a) − µ2(a)i2(t, a) + ρ12)l1(t, a) + ρ22l2(t, a)( ∂ ∂t + ∂ ∂a ) i1(t, a) = −(r1 + µ1(a) + b(a) − µ1(a)i1(t, a) − µ2(a)i2(t, a) + ρ13)i1(t, a) + ρ23i2(t, a) +ϕ1λ1(t, a)s1(t, a) + k1l1(t, a)( ∂ ∂t + ∂ ∂a ) j1(t, a) = r1i1(t, a) − (σ1λ1(t, a) + b(a) − µ1(a)i1(t, a) − µ2(a)i2(t, a) + ρ14)j1(t, a) + ρ24j2(t, a)( ∂ ∂t + ∂ ∂a ) v1(t, a) = ψ1(a)s1(t, a) + ρ25v2(t, a) − (b(a) + ρ15 + δ1λ1(t, a) − µ1(a)i1(t, a) − µ2(a)i2(t, a))v1(t, a)( ∂ ∂t + ∂ ∂a ) s2(t, a) = α2b2(a) − [λ2(t, a) + ψ2(a) + b(a) − µ1(a)i1(t, a) − µ2(a)i2(t, a) + ρ21]s2(t, a) + ρ11s1(t, a)( ∂ ∂t + ∂ ∂a ) l2(t, a) = λ2(t, a)[(1 − ϕ2)s2(t, a) + σ2j2(t, a) + δ2v2(t, a)) −(k2 + b(a) − µ1(a)i1(t, a) − µ2(a)i2(t, a) + ρ22)l2(t, a) + ρ12l1(t, a)( ∂ ∂t + ∂ ∂a ) i2(t, a) = −(r2 + µ2(a) + b(a) − µ1(a)i1(t, a) − µ2(a)i2(t, a) + ρ23)i2(t, a) + ρ13i1(t, a) +ϕ2λ2(t, a)s2(t, a) + k2l2(t, a)( ∂ ∂t + ∂ ∂a ) j2(t, a) = r2i2(t, a) − (σ2λ2(t, a) + b(a) − µ1(a)i1(t, a) − µ2(a)i2(t, a) + ρ24)j2(t, a) + ρ14j1(t, a)( ∂ ∂t + ∂ ∂a ) v2(t, a) = ψ2(a)s2(t, a) + ρ15v1(t, a) − (b(a) + ρ25 + δ2λ2(t, a) − µ1(a)i1(t, a) − µ2(a)i2(t, a))v2(t, a) (5) with boundary conditions si(t, 0) = Λi; vi(t, 0) = li(t, 0) = ii(t, 0) = ji(t, 0)	cache/ejpam-4556.pdf	txt/ejpam-4556.txt