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

Moussaoui Ali, M. A. Aziz Alaoui, R. Yafia

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.


Keywords


Population dynamics, prey-predator model, permanence

Full Text:

PDF


DOI: http://dx.doi.org/10.11145/j.biomath.2017.07.107

Refbacks

  • There are currently no refbacks.


BIOMATH is indexed in Mathematical Reviews (MathSciNet), Zentralblatt fuer Mathemathik (zbMATH), EBSCO databasis Academic (Complete, Alite, Premier, Ultimate).

 ISSN: 1314-684X (print), 1314-7218 (online)