Boundedness and stabilization in a two-species chemotaxis-competition system with signal-dependent diffusion and sensitivity
type: Item
instance of: scholarly article
title: Boundedness and stabilization in a two-species chemotaxis-competition system with signal-dependent diffusion and sensitivity
zbMATH Open document ID: 1415.35044
author: Hai-Yang Jin
author: Shijie Shi
author: Jiao Xu
author: Zhengrong Liu
published in: Journal of Differential Equations
publication date: 2019-04-23T00:00:00Z
review text: The authors consider a fully parabolic model for two species chemotaxis-competition interactions with possibly degenerating diffusivities on bounded, smooth two-dimensional domains. Using suitable weighted energy and entropy functionals they prove boundedness of solutions, and their convergence to steady states.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35K51
zbMATH DE Number: 7046604
zbMATH Keywords: signal dependent diffusion
zbMATH Keywords: signal dependent sensitivity
zbMATH Keywords: fully parabolic mode
zbMATH Keywords: tow-dimensional domains
MaRDI profile type: Publication
full work available at URL: j.jde.2019.01.019
OpenAlex ID: W2911954612
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DOI: 10.1016/J.JDE.2019.01.019
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description: scientific article; zbMATH DE number 7046604