Bifurcation structure of stationary solutions of a Lotka--Volterra competition model with diffusion

DOI10.1137/S0036141096305784zbMath0913.35016MaRDI QIDQ4389023

Yukio Kan-On

Publication date: 11 May 1998

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

comparison principlediffusion constant \(\varepsilon\) as bifurcation parameter

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)

Related Items (5)

Semi-exact equilibrium solutions for three-species competition-diffusion systems ⋮ On a competition model with nonlocal diffusion arising from ecosystems ⋮ Global bifurcation structure of positive stationary solutions for a classical Lotka-Volterra competition model with diffusion ⋮ Existence of generalized homoclinic solutions of Lotka-Volterra system under a small perturbation ⋮ On the structure of the set of stationary solutions for a system of reaction-diffusion equations with competitive interaction

This page was built for publication: Bifurcation structure of stationary solutions of a Lotka--Volterra competition model with diffusion