Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients
type: Item
instance of: scholarly article
title: Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients
zbMATH Open document ID: 0855.35066
author: Yanyan Li
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-08-29T00:00:00Z
review text: This paper deals with a coupled system of reaction-diffusion equations modeling the competition of two species with cross diffusion. It discusses the existence of positive steady-state solutions in relation to the intrinsic birth rates \(a_1\), \(a_2\) of the species and the cross diffusion coefficients \(\beta_{12}\), \(\beta_{21}\). The results show that positive steady-state solutions exist if \(a_1\) and \(a_2\) lie in certain range, or if \(\beta_{12}\) and \(\beta_{21}\) are sufficiently large.
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 902459
zbMATH Keywords: cross diffusion
zbMATH Keywords: positive steady-state solutions
reviewed by: I. N. Katz
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0039
OpenAlex ID: W2033518856
DOI: 10.1006/JMAA.1996.0039
description: scientific article; zbMATH DE number 902459