Competition in patchy environment with cross diffusion

摘要

In this paper we formulate a Lotka-Volterra competitive system in two patches in which the per capita migration rate of each species is influenced not only by its own but also by the other one's density, i.e. there is cross diffusion present. Numerical studies show that at a critical value of the bifurcation parameter the system undergoes a Turing bifurcation and the cross-migration response is an important factor that should not be ignored when pattern emerges. (C) 2003 Elsevier Ltd. All rights reserved.