Department of Mathematics, Faculty of Sciences
Chouaib Doukkali University
PO Box 20, El Jadida, Morocco
email: a.kaddar@yahoo.fr
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.
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Abdelilah Kaddar Department of Mathematics, Faculty of Sciences Chouaib Doukkali University PO Box 20, El Jadida, Morocco email: a.kaddar@yahoo.fr |
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