Dynamic Analysis of a Three-Strain COVID-19 SEIR Epidemic Model with General Incidence Rates

Abstract

This chapter deals with the global stability analysis of three-strain COVID-19 SEIR pandemic model with three general incidence functions. The problem will be modeled by a system of eight nonlinear ordinary differential equations representing the evolution of susceptible, exposed, infected, and removed individuals. It was established that the disease-free equilibrium is globally stable when the basic reproduction number R0 does not exceed the unity. Moreover, by using some appropriate Lyapunov functions, the endemic equilibria global stability is proved depending on the first strain reproduction number \(R^{1}_0\), the second strain reproduction number \(R^{2}_0\), and the third strain reproduction number \(R^{3}_0\). Numerical simulations are presented in order to investigate a comparison between the model results and COVID-19 clinical data.