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 rivolis las vegas 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 bubble gum pink iphone 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.