Analysis of stability and bifurcation for an SEIR epidemic model with saturated recovery rate

In this paper we study an SEIR epidemic model with saturated recovery rate. A backward bifurcation leading to bistability possibly occurs, and global dynamics are shown by compound matrices and geometric approaches. Numerical simulations are presented to illustrate the results.

► We build an SEIR epidemic model with saturated recovery rate.
► Backward bifurcation leading to bistability possibly occurs.
► Using the approach of Arino et al. [15], we prove the global stability of endemic equilibrium.
► The results show that w should improve medical conditions to control disease.