An analysis of a predator-prey model with both diffusion and migration

An analysis of a reaction-diffusion-migration model of the interaction between prey and predator is presented. I give the analysis of dispersal relation of wave behavior in detail. Moreover, wave number against frequency for different values is given by means of both numerical simulation and nonlinear analysis for derivation of the phase equation. The obtained results show that numerical simulations are in agreement with mathematical analysis. (C) 2009 Elsevier Ltd. All rights reserved.