Existence of non-constant stable equilibria in competition-diffusion equations
type: Item
instance of: scholarly article
title: Existence of non-constant stable equilibria in competition-diffusion equations
zbMATH Open document ID: 0823.35090
author: Eiji Yanagida
author: Yukio Kan-on
published in: Hiroshima Mathematical Journal
publication date: 1993-09-16T00:00:00Z
review text: This paper studies two competing species described by the Lotka-Volterra type reaction-diffusion equations. It considers the coexistence problem in domains which are non-convex, but not necessarily dumbbell-shaped. By using maximum principle, it proves existence of a stable non-constant stationary solution if the curvature of a boundary and the magnitude of competition-diffusion are well-balanced.
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35K50
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 408767
zbMATH Keywords: domain shape
zbMATH Keywords: competing species
zbMATH Keywords: Lotka-Volterra type
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 408767