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

被引：1

作者：

Chiyo, Yutaro ^{[1
]}

Sugawara, Kazuma ^{[1
]}

Yokota, Tomomi ^{[1
]}

机构：

[1] Tokyo Univ Sci, Dept Math, 1-3 Kagurazaka,Shinju Ku, Tokyo 1628601, Japan

来源：

APPLIED MATHEMATICS LETTERS | 2024年 / 149卷

关键词：

Chemotaxis; Global existence; Boundedness; Indirect-consumption;

D O I：

10.1016/j.aml.2023.108908

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with an indirect chemotaxis-consumption model with sensitivity function chi(upsilon). Frassu and Viglialoro (Appl. Math. Lett.; 2022; 132; 108108) showed global existence and boundedness in the case that chi 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 chi depends on upsilon.

引用

页数：5

共 37 条

[1] Boundedness criteria for a class of indirect (and direct) chemotaxis-consumption models in high dimensions
Frassu, Silvia
Viglialoro, Giuseppe
APPLIED MATHEMATICS LETTERS, 2022, 132
[2] GLOBAL BOUNDEDNESS IN AN INDIRECT CHEMOTAXIS-CONSUMPTION MODEL WITH SIGNAL-DEPENDENT DEGENERATE DIFFUSION
Wu, Chun
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 2025 (01)
[3] Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption
Zheng, Meng
Wang, Liangchen
APPLIED MATHEMATICS LETTERS, 2023, 146
[4] Global boundedness and large time behavior of solutions to a chemotaxis-consumption system with signal-dependent motility
Li, Dan
Zhao, Jie
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 72 (02):
[5] Global boundedness in a quasilinear chemotaxis-consumption system with degenerate signal-dependent motility and logistic source
Xu, Chi
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2024, 75 (06):
[6] Boundedness and large time behavior for a chemotaxis system with signal-dependent motility and indirect signal consumption
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Li, Zhongping
Zhao, Jie
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 64
[7] GLOBAL BOUNDEDNESS IN A CHEMOTAXIS SYSTEM WITH SIGNAL-DEPENDENT MOTILITY AND INDIRECT SIGNAL CONSUMPTION AND LOGISTIC SOURCE
Zheng, Meng
Wang, Liangchen
EVOLUTION EQUATIONS AND CONTROL THEORY, 2024, 13 (06): : 1609 - 1624
[8] Global existence for a class of chemotaxis-consumption systems with signal-dependent motility and generalized logistic source
Lv, Wenbin
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 56
[9] Global classical solutions to an indirect chemotaxis-consumption model with signal-dependent degenerate diffusion and logistic source
Zheng, Meng
Wang, Liangchen
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2024, 75 (05):
[10] Boundedness and stabilization in the chemotaxis consumption model with signal-dependent motility
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Wang, Liangchen
Pan, Xu
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 72 (04):

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