Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 133, pp. 1-7.

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

Author: Abdelilah Kaddar (Abdelilah Kaddar)

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.

Submitted August 21, 2009. Published October 16, 2009.
Math Subject Classifications: 37G15, 91B62.
Key Words: SIR epidemic model; incidence rate;
           delayed differential equations;
           Hopf bifurcation; periodic solutions.