Computer Simulation of the Pattern Formation of a Spatial Ecosystem

In this paper, we analyze the spatial pattern of a predator-prey system. We get the critical line of Hopf and Turing bifurcation in a spatial domain. Via computer simulation, we study how diffusion affects the stability of predator-prey coexistence equilibrium and give the spatial pattern formation, the evolution process of the system near the coexistence equilibrium point. Our results show that modeling by reaction-diffusion equations is an appropriate tool for investigating fundamental mechanisms of complex spatiotemporal dynamics.