Stability Analysis of a SEIQR Epidemic Model with Saturated Incidence and Time Delay

Abstract

Considering the effect of isolation and vaccination on control of disease，a SEIQR epidemic model with saturated incidence and time delay is established. Then，the existence condition of the disease-free equilibrium and endemic equilibrium and the permanence of model are obtained. The global stability of the disease-free equilibrium and endemic equilibrium are proved by constructing an appropriate Liapunov function，numerical simulations are presented to verify the properties of the models dynamics.

Keywords

• time delay; isolation; permanence; stability