Logistic damping effect in chemotaxis models with density-suppressed motility-Reference-Cited by-同舟云学术

Logistic damping effect in chemotaxis models with density-suppressed motility

Published:2022-09-09 Issue:1 Volume:12 Page:336-355
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Lyu Wenbin¹,Wang Zhi-An²

Affiliation:

1. School of Mathematical Sciences, Shanxi University , Taiyuan 030006 , P. R. China

2. Department of Applied Mathematics, The Hong Kong Polytechnic University , Hung Hom , Hong Kong

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Link

https://www.degruyter.com/document/doi/10.1515/anona-2022-0263/pdf

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