EXISTENCE OF PERIODIC SOLUTION OF SOME ECO-EPIDEMIOLOGICAL SYSTEMS

  • Received : 2010.04.20
  • Accepted : 2010.06.30
  • Published : 2010.09.30

Abstract

The effect of impulse in the ecological models makes them more realistic. Recently, the eco-epidemiological models have become an important field of study from the both mathematical and ecological view points. In this article, we consider some eco-epidemiological systems under the influence of impulsive force. A set of sufficient conditions for the permanence of the system are derived. Stability of the trivial solution and at least one strictly positive periodic solution are obtained. Numerical examples are given in support to our analytical findings. Finally, a short discussion concludes the paper.

Keywords

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