The linear and nonlinear diffusion of the competitive Lotka-Volterra model
type: Item
instance of: scholarly article
title: The linear and nonlinear diffusion of the competitive Lotka-Volterra model
zbMATH Open document ID: 1129.34037
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2007-04-19T00:00:00Z
review text: Competitive Lotka-Volterra systems with a linear or nonlinear diffusion term are studied. Depending on the parameter values, these systems have several nonnegative equilibria, at which one of the species does not extinct. In two cases, sufficient conditions are given for the existence of a unique positive equilibrium at which all species are persistent, and for its global asymptotic stability.
reviewed by: Kazuyuki Yagasaki
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34D23
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 5144905
zbMATH Keywords: competitive Lotka-Volterra model
zbMATH Keywords: diffusion
zbMATH Keywords: positive equilibrium
zbMATH Keywords: global asymptotic stability
author: Xinan Zhang
author: Lansun Chen
MaRDI profile type: Publication
full work available at URL: j.na.2006.04.006
OpenAlex ID: W2014860685
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DOI: 10.1016/J.NA.2006.04.006
description: scientific article; zbMATH DE number 5144905