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 response. We establish some sufficient conditions for the ultimate boundedness of solutions and permanence of this system. https://www.roneverhart.com/HP-Notebook-15-da0008ca-HD-LED-15-6-Touchscreen-Intel-Core-i5-8250U-1-6-GHz-8-GB-RAM-1-TB-SSD-HDMI-USB-Multi-format-S/