Boundedness and stabilization in a two-species chemotaxis system with two chemicals

被引：6

作者：

Liu, Aichao ^{[1
,2
]}

Dai, Binxiang ^{[1
]}

机构：

[1] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China

[2] Huanghuai Univ, Sch Math & Stat, Zhumadian 463000, Henan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 506卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Boundedness; Stabilization; Two-species chemotaxis; Logistic damping; TIME BLOW-UP; KELLER-SEGEL SYSTEM; GLOBAL EXISTENCE; AGGREGATION; MODEL; STABILITY; BOUNDARY; DYNAMICS;

D O I：

10.1016/j.jmaa.2021.125609

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Concerned is a two-species chemotaxis system with cross-diffusion and logistic source in a smooth bounded domain. When the system is parabolic-elliptic-parabolic-elliptic, if the logistic damping effect is strong enough then the solutions of the system are global, bounded and exponentially convergent to the constant steady-state solution. This is also true for the fully parabolic system. It is also shown that the damping effect is conducive to the global existence of solutions, which prevents the occurrence of blow-up in the presence of chemotaxis. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：19

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