Volume no :4, Issue no: 1, August (2010)

Journal of Pure and Applied Mathematics: Advances and Applications

SEI EPIDEMIC MODELS WITH NON-LINEAR INCIDENCE RATE AND UNIFORM REPRODUCTION

Author's: M. M. A. El-Sheikh and A. El-Ashry
Pages: [23] - [37]
Received Date: July 5, 2010
Submitted by:

Abstract

In this paper, a general SEI epidemic model is considered with nonlinear incidence rate and uniform reproduction rate more general than those in the literature. Disease-free and endemic points are discussed with their stabilities. Hopf bifurcation and periodic solution are studied. Numerical discussion is given to show the effects of changing parameters of the system.

Keywords

equilibria, stability, Hopf bifurcation.