Analysis for Dynamics of Predator-prey Reaction-diffusion Model with Schooling Behavior
A class of predator-prey reaction-diffusion model with schooling behavior and homogeneous Neumann boundary conditions is considered.The local asymptotic stability,Turing instability,the existence of Hopf bifurcation and Turing-Hopf bifurcation of the con-stant positive equilibrium solution are obtained by analyzing the associated eigenvalue problem.Also,the theoretical results are verified by numerical simulation.
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