Discrete Predator-prey Dispersal Model for Pest Control

In this paper, the discrete predator-prey dispersal system is analyzed, for the Nicholson-Bailey model, we here focus on the question of whether dispersal leads to beneficial effect on pest control by developing the Nicholson-Bailey model with constant-release of the predator. Firstly, the discrete predator-prey model without dispersal is simply discussed. Secondly, we analyze the natural enemy subsystem, and assure its positive equilibrium is stable. Finally, we obtain the stable conditions of equilibrium with pest eradication (EPE) by discussing the Natural enemy subsystem.