On the global existence of solutions to a chemotaxis system with signal-dependent motility, indirect signal production and generalized logistic source

被引：0

作者：

Liu, Changfeng ^{[1
]}

Guo, Shangjiang ^{[2
,3
]}

机构：

[1] Changsha Univ, Sch Math, Changsha 410022, Hunan, Peoples R China

[2] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China

[3] China Univ Geosci, Ctr Math Sci, Wuhan 430074, Hubei, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2024年 / 157卷

基金：

中国国家自然科学基金;

关键词：

Chemotaxis system; Global solvability; Logistic sources; Signal-dependent motility; BLOW-UP; AGGREGATION; MODEL; GROWTH; BOUNDEDNESS;

D O I：

10.1016/j.aml.2024.109190

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to a chemotaxis system with signal -dependent motility under homogeneous Neumann boundary conditions in a bounded domain. We prove that this problem possesses a global classical solution which is uniformly bounded under weaker conditions than that obtained by Lv and Wang (2020). The findings of our study demonstrate the presence of a consistent decay rate, effectively ruling out the occurrence of blow-up phenomena in the system across all spatial dimensions.

引用

页数：5

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