In this paper we study a predator-prey system, modeling the Backpacks 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 Sympathy Card positive periodic solution are also obtained.Numerical simulations are presented to illustrate the results.