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

Aichao Liu | Zendy; Binxiang Dai | Zendy; Yuming Chen | Zendy

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Boundedness 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 - 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.

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