Stability Analysis of a New Switched SEIAR-Vac-Iso Epidemic Model for the COVID-19

In this paper, a new switched SEIAR-Vac-Iso (Susceptible, Exposed, Infected, Asymptomatic, Recovered, Vaccinated, Isolated) epidemic model is introduced and investigated with application to COVID-19 for the first time. Two theorems concerning the positivity and boundedness of the solutions are proved. Then, the basic reproduction number (R
0
) and the equilibrium points of the new model are calculated. The stability of the switched system is also investigated by developing a Lyapunov function and using the switching invariance principle, then the stability conditions of the systems are obtained. Numerical simulations are presented to verify the accuracy of theoretical results.