Boundedness in a two species attraction-repulsion chemotaxis system with two chemicals-Reference-Cited by-同舟云学术

Boundedness in a two species attraction-repulsion chemotaxis system with two chemicals

Published:2022 Issue:10 Volume:27 Page:6037
ISSN:1531-3492
Container-title:Discrete and Continuous Dynamical Systems - B
language:
Short-container-title:DCDS-B

Author:

Liu Aichao¹²,Dai Binxiang¹,Chen Yuming³

Affiliation:

1. School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha 410083, China

2. School of Mathematics and Statistics, Huanghuai University, Zhumadian 463000, China

3. Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada

Abstract

<p style='text-indent:20px;'>This paper deals with a class of attraction-repulsion chemotaxis systems in a smoothly bounded domain. When the system is parabolic-elliptic-parabolic-elliptic and the domain is <inline-formula><tex-math id="M1">\begin{document}$ n $\end{document}</tex-math></inline-formula>-dimensional, if the repulsion effect is strong enough then the solutions of the system are globally bounded. Meanwhile, when the system is fully parabolic and the domain is either one-dimensional or two-dimensional, the system also possesses a globally bounded classical solution.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

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