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

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

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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 shure ua874 predator-prey model with Holling-type-II functional response.We establish some sufficient conditions for the snoop snacks 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.