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Boundedness criteria for a class of indirect (and direct) chemotaxis-consumption models with signal-dependent sensitivity in high dimensions.

Authors :
Chiyo, Yutaro
Sugawara, Kazuma
Yokota, Tomomi
Source :
Applied Mathematics Letters. Mar2024, Vol. 149, pN.PAG-N.PAG. 1p.
Publication Year :
2024

Abstract

This paper is concerned with an indirect chemotaxis-consumption model with sensitivity function χ (v). Frassu and Viglialoro (Appl. Math. Lett.; 2022; 132; 108108) showed global existence and boundedness in the case that χ is a constant. However, there is a room for improvement of the main claim. This paper improves the result and extends it in the case that χ depends on v. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*CHEMOTAXIS
*MATHEMATICS

Details

Language :
English
ISSN :
08939659
Volume :
149
Database :
Academic Search Index
Journal :
Applied Mathematics Letters
Publication Type :
Academic Journal
Accession number :
174104164
Full Text :
https://doi.org/10.1016/j.aml.2023.108908