On the dynamics of a delayed SIR epidemic model with a modified saturated incidence rate

Abstract

In this paper, a delayed SIR epidemic model with modified saturated incidence rate is proposed. The local stability and the existence of Hopf bifurcation are established. Also some numerical simulations are given to illustrate the theoretical analysis.

Keywords

• SIR epidemic model
• incidence rate
• delayed differential equations
• Hopf bifurcation
• periodic solutions