Bifurcation structure of positive stationary solutions for a lotka-volterra competition model with diffusion II: Global structure

Abstract

In this paper, we consider a Lotka-Volterra competition model with diffusion, and show that the global bifurcation structure of positive stationary solutions for the model is similar to that for a certain scalar reaction-diffusion equation. To do this, the comparison principle, the bifurcation theory, and the numerical verification are employed.