id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
eajbcs-694	Tinaw Tilahun Asmamaw; Gebreargawi, Kiros 	A Mathematical Model for the Transmission Dynamics of COVID-19 Pandemic Considering Protected and Hospitalized with Optimal Control	2025	29	.pdf	application/pdf	11172	612	72	For an optimal control set θ, α that minimizes J over U , there are adjoint variables, λ1, ..., λ6 such that: dλ1 dt = [β(σ2E + σ1I + σ3H) + θ + µ]λ1 − θλ2 − β(σ2E + σ1I + σ3H)λ3, dλ2 dt = −νλ1 + (ν + µ)λ2, dλ3 dt = −B1 + βσ2Sλ1 − [βσ2S − (δ + µ)]λ3 − τδλ4 − (1− τ)δλ6, dλ4 dt = −B2 + βσ1Sλ1 [βσ2S − (δ + µ)]λ3 − τδλ4 − (1− τ)δλ6, dλ4 dt = −∂H ∂I = −B2 + βσ1Sλ1 − βσ1Sλ3 + (α + ε+ µ+ ρ)λ4 − αλ5 − ελ6, dλ5 dt = −∂H ∂H = βσ3Sλ1 − βσ3Sλ3 + (γ + µ+ ξ)λ5 − γλ6, dλ6 dt = −∂H ∂R = −ηωλ1 − (1− η)ωλ2 + (ω + µ)λ6. with transversality conditions λi(T )	cache/eajbcs-694.pdf	txt/eajbcs-694.txt