Permanence and periodic solution for a modified Leslie-Gower type predator-prey model with diffusion and non constant coefficients

Authors

  • Moussaoui Ali University of Tlemcen, Departement of mathematics, Algeria
  • M. A. Aziz Alaoui
  • R. Yafia

DOI:

https://doi.org/10.11145/j.biomath.2017.07.107

Keywords:

Population dynamics, prey-predator model, permanence

Abstract

In this paper we study a predator-prey system, modeling the interaction of two species with diffusion and T-periodic environmental parameters. It is a Leslie-Gower type predator-prey model with Holling-type-II functional response. We establish some sufficient conditions for the ultimate boundedness of solutions and permanence of this system. By constructing an appropriate auxiliary function, the conditions for the existence of a unique globally stable positive periodic solution are also obtained. Numerical simulations are presented to illustrate the results.

Author Biography

Moussaoui Ali, University of Tlemcen, Departement of mathematics, Algeria

Departement of Mathematics

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Published

2017-07-20

Issue

Vol. 6 No. 1 (2017)

Section

Original Articles

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