Stability of a Predator-Prey Model with Modified Holling-Type II Functional Response

摘要

A predator-prey model with modified Holling-Type II functional response under Neumann boundary condition is proposed. We show that under some conditions the cross-diffusion can induce the Turing instability of the uniform equilibrium, which is stable for the kinetic system and for the self-diffusion reaction system. Also, the numerical simulation is given in this paper, and verifying the result of the paper is correct.