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 Cracker Dish 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 IC Hardware simulations are presented to illustrate the results.