Analysis of the mitigation strategies for COVID-19: from mathematical modelling perspective

Semu Kassa; Hatson John Boscoh Njagarah; Yibeltal Adane Terefe

is the (which was not peer-reviewed) The copyright holder for this preprint . https://doi.org/10.1101/2020.04. 15.20066308 doi: medRxiv preprint In this section, we study the quantitative and qualitative analysis of the model system Eq. (2.2). 163 164 We begin by determining the biologically feasible set for the model (2.2). The following theorem 165 implies that the solutions of (2.2) are nonnegative and bounded from above, provided that the initial 166 conditions are nonnegative. 170 To determine the equilibrium solutions, we set the right-hand side of (2.2) equal to zero and obtain 171 (1 − h)π − (λ + σe + µ)S + (1 − ω)ϕR = 0, hπ + σeS − ((1 − ρ)λ + µ)Se + ωϕR = 0, ηλS + φ(1 − ρ)λS e − (θ + α + µ)C = 0, (1 − η)λS + (1 − φ)(1 − ρ)λS e + θC − (γ + µ + δ)I = 0, αC + γI − (ϕ + µ)R = 0, C + ξ I − ψE = 0. The basic reproduction number, which is very important for the qualitative analysis of the model, is 173 determined here below by using the method of the next generation matrix used in [11, 38] . For the 174 model under consideration, using the notation X = (C, I, E), we have the vector functions CC-BY-ND 4.0 International license It is made available under a author/funder, who has granted medRxiv a license to display the preprint in perpetuity.