Bifurcations in a diffusive predator-prey model with predator saturation and competition response

摘要

A diffusive predator-prey model with predator saturation and competition response subject to homogeneous Neumann boundary conditions is considered in this paper. We find that the spatially homogeneous and non-homogeneous periodic solutions through all parameters of the system are spatially homogeneous. To verify our theoretical results, some numerical simulations are also carried out. Copyright (c) 2014 John Wiley & Sons, Ltd.