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 Deep Fryer Oil Filtration Machines 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 Bar Cart for the existence of a unique globally stable positive periodic solution are also obtained.
Numerical simulations are presented to illustrate the results.