On a limiting system in the Lotka-Volterra competition with cross-diffusion.
type: Item
instance of: scholarly article
title: On a limiting system in the Lotka-Volterra competition with cross-diffusion.
zbMATH Open document ID: 1174.35360
author: Yuan Lou
author: Wei-Ming Ni
author: Shoji Yotsutani
published in: Discrete and Continuous Dynamical Systems
publication date: 2004-07-01T00:00:00Z
review text: The authors study a limiting system arising from the study of steady-states of the Lotka-Volterra competition model with cross-diffusion. The main goal of the paper is to understand all possible solutions to this limiting system, which consists of a nonlinear elliptic equation and an integral constraint. Moreover, the authors discuss the qualitative behaviour of solutions to this limiting system as the remaining diffusion rate varies.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 35J57
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 2077728
zbMATH Keywords: limiting system
zbMATH Keywords: integral constraint
zbMATH Keywords: diffusion rate
MaRDI profile type: Publication
full work available at URL: dcds.2004.10.435
OpenAlex ID: W1986187534
DOI: 10.3934/DCDS.2004.10.435
description: scientific article; zbMATH DE number 2077728