An interfacial approach to regional segregation of two competing species mediated by a predator
type: Item
instance of: scholarly article
title: An interfacial approach to regional segregation of two competing species mediated by a predator
zbMATH Open document ID: 0774.92023
DOI: 10.1007/BF00166143
author: Tsutomu Ikeda
author: Masayasu Mimura
published in: Journal of Mathematical Biology
publication date: 1993-06-29T00:00:00Z
review text: The problem of coexistence of two competing species mediated by the presence of a predator is considered. A reaction-diffusion model equation with Lotka-Volterra interaction is employed. The authors speculate that the possibility of coexistence is enhanced by differences in the diffusion rates of the prey and their predator. In the limit where the diffusion rate of the prey tends to zero, a new equation is derived and the dynamics of spatial segregation is discussed by means of the interfacial dynamics approach. It is shown that spatial segregation permits periodic and chaotic dynamics for certain parameter ranges.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 37-XX
zbMATH DE Number: 219777
zbMATH Keywords: predation-mediated coexistence
zbMATH Keywords: internal layer
zbMATH Keywords: interface equation
zbMATH Keywords: predator-prey model
zbMATH Keywords: coexistence of two competing species
zbMATH Keywords: Lotka-Volterra interaction
zbMATH Keywords: dynamics of spatial segregation
zbMATH Keywords: interfacial dynamics approach
zbMATH Keywords: periodic and chaotic dynamics
MaRDI profile type: Publication
Wikidata QID: Q115610767
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full work available at URL: https://doi.org/10.1007/bf00166143
OpenAlex ID: W2060424841
description: scientific article; zbMATH DE number 219777