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Global boundedness and asymptotic behavior in a fully parabolic attraction-repulsion chemotaxis model with logistic source

School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, Hubei, P. R. China

Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan 430074, Hubei, P. R. China

E-mail Address: 2628490571@qq.com

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and

Bin Liu

https://orcid.org/0000-0002-5852-7599

School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, Hubei, P. R. China

Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan 430074, Hubei, P. R. China

E-mail Address: binliu@mail.hust.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0129167X23500775Cited by:0 (Source: Crossref)

Abstract

In this paper, we consider a fully parabolic attraction-repulsion chemotaxis model with logistic source. First of all, we obtain an explicit formula $μ_{0}$ $μ_{0}$ for the logistic damping rate $μ$ $μ$ such that the model has no blow-up when $μ > μ_{0}$ $μ > μ_{0}$ . In addition, the asymptotic behavior of the solutions is studied. Our results partially generalize and improve some results in the literature, and partially results are new.

Communicated by Laurent Desvillettes

Keywords:

AMSC: 35K45, 92C17, 35A01, 35Q92, 35B35

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Vol. 34, No. 12

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History

Received 18 April 2022

Accepted 10 July 2023

Published: 28 August 2023

Keywords

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System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Global boundedness and asymptotic behavior in a fully parabolic attraction-repulsion chemotaxis model with logistic source

Abstract

References

Global boundedness and asymptotic behavior in a quasilinear attraction–repulsion chemotaxis model with nonlinear signal production and logistic-type source

Qualitative analysis of a parabolic–elliptic attraction–repulsion chemotaxis model with logistic source

Stabilization in a higher-dimensional attraction–repulsion chemotaxis system if repulsion dominates over attraction

COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS

Boundedness and large time behavior in a quasilinear chemotaxis model for tumor invasion

The second-order gradient estimates for the $V$ -heat kernel and its applications

Global solvability of a two-species chemotaxis–fluid system with Lotka–Volterra type competitive kinetics

Conformally covariant differential symmetry breaking operators for a vector bundle of rank 3 on $S^{3}$

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Global boundedness and asymptotic behavior in a fully parabolic attraction-repulsion chemotaxis model with logistic source

Abstract

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Global boundedness and asymptotic behavior in a quasilinear attraction–repulsion chemotaxis model with nonlinear signal production and logistic-type source

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