On the structure of the set of stationary solutions for a system of reaction-diffusion equations with competitive interaction

DOI10.1007/BF03167491zbMath1090.35093OpenAlexW2082154246MaRDI QIDQ2583116

Yukio Kan-On

Publication date: 13 January 2006

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167491

zbMATH Keywords

comparison principlebifurcationreaction-diffusion systemstationary solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Bifurcations in context of PDEs (35B32)

Cites Work

• The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains
• Some global results for nonlinear eigenvalue problems
• Bifurcation structure of stationary solutions of a Lotka--Volterra competition model with diffusion
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