On the bifurcation structure of positive stationary solutions for a competition-diffusion system

Kan-on, Yukio

doi:10.2969/aspm/04720601

VOL. 47.2 | 2007 On the bifurcation structure of positive stationary solutions for a competition-diffusion system

Chapter Author(s) Yukio Kan-on

Editor(s) Hideo Kozono, Takayoshi Ogawa, Kazunaga Tanaka, Yoshio Tsutsumi, Eiji Yanagida

Adv. Stud. Pure Math., 2007: 601-612 (2007) DOI: 10.2969/aspm/04720601

Abstract

In this survey, we consider a generalized Lotka-Volterra competition model with diffusion, and discuss the bifurcation structure of positive stationary solutions for the model. To do this, the comparison principle, the bifurcation theory, and the numerical verification are employed.