Logistic Damping Effect in Chemotaxis Models with Density-suppressed Motility

Wenbin Lyu; Zhi An Wang

doi:10.1515/anona-2022-0263

Logistic Damping Effect in Chemotaxis Models with Density-suppressed Motility

Wenbin Lyu
, Zhi An Wang

Research output: Journal article publication › Journal article › Academic research › peer-review

63 Citations (Scopus)

Abstract

This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions. Under the minimal conditions for the density-suppressed motility function, we explore how strong the logistic damping can warrant the global boundedness of solutions and further establish the asymptotic behavior of solutions on top of the conditions.

Original language	English
Pages (from-to)	336-355
Number of pages	20
Journal	Advances in Nonlinear Analysis
Volume	12
Issue number	1
DOIs	https://doi.org/10.1515/anona-2022-0263
Publication status	Published - 1 Jan 2023

Keywords

asymptotic behavior
chemotaxis
density-suppressed motility
global boundedness
logistic source

ASJC Scopus subject areas

Analysis

More information

10.1515/anona-2022-0263

http://hdl.handle.net/10397/99145

Cite this

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abstract = "This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions. Under the minimal conditions for the density-suppressed motility function, we explore how strong the logistic damping can warrant the global boundedness of solutions and further establish the asymptotic behavior of solutions on top of the conditions.",

keywords = "asymptotic behavior, chemotaxis, density-suppressed motility, global boundedness, logistic source",

author = "Wenbin Lyu and Wang, \{Zhi An\}",

note = "Funding Information: Funding information : The research of the first author was supported by the National Nature Science Foundation of China (No. 12101377) and the Nature Science Foundation of Shanxi Province (No. 20210302124080). The research of the second author was supported by the Hong Kong RGC GRF grant No. 15303019 (Project ID P0030816) and an internal grant No. UAH0 (Project ID P0031504) from the Hong Kong Polytechnic University. Publisher Copyright: {\textcopyright} 2023 Wenbin Lyu and Zhi-An Wang, published by De Gruyter.",

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N2 - This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions. Under the minimal conditions for the density-suppressed motility function, we explore how strong the logistic damping can warrant the global boundedness of solutions and further establish the asymptotic behavior of solutions on top of the conditions.

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KW - chemotaxis

KW - density-suppressed motility

KW - global boundedness

KW - logistic source

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M3 - Journal article

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JO - Advances in Nonlinear Analysis

JF - Advances in Nonlinear Analysis

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Logistic Damping Effect in Chemotaxis Models with Density-suppressed Motility

Abstract

Keywords

ASJC Scopus subject areas

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