Article ID Journal Published Year Pages File Type
755963 Communications in Nonlinear Science and Numerical Simulation 2011 13 Pages PDF
Abstract

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.

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Physical Sciences and Engineering Engineering Mechanical Engineering
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