Asymptotic stability in a chemotaxis-competition system with indirect signal production
type: Item
instance of: scholarly article
title: Asymptotic stability in a chemotaxis-competition system with indirect signal production
zbMATH Open document ID: 1460.35360
author: Pan Zheng
published in: Discrete and Continuous Dynamical Systems
publication date: 2021-02-24T00:00:00Z
review text: A system of chemotaxis and competition with three parabolic equations combining the models of Keller-Segel and Lotka-Volterra type is studied in bounded domains with the homogeneous Neumann boundary conditions. Exponential convergence to a coexistence steady state is shown under some assumptions on the parameters of the problem, as well as a result on an algebraic decay to an extinction steady state in another parameter range.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 92C17
zbMATH DE Number: 7314907
zbMATH Keywords: chemotaxis
zbMATH Keywords: parabolic system
zbMATH Keywords: interspecies competition
zbMATH Keywords: asymptotic behavior of solutions
MaRDI profile type: Publication
full work available at URL: dcds.2020315
OpenAlex ID: W3081696816
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DOI: 10.3934/DCDS.2020315
description: scientific article; zbMATH DE number 7314907