Open AccessBoundedness in a two species attraction-repulsion chemotaxis system with two chemicals
Author(s) -
Aichao Liu,
Binxiang Dai,
Yuming Chen
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021306
Subject(s) - bounded function , domain (mathematical analysis) , attraction , chemotaxis , mathematics , class (philosophy) , pure mathematics , mathematical analysis , computer science , chemistry , philosophy , linguistics , biochemistry , receptor , artificial intelligence
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 \begin{document}$ n $\end{document} -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.