Global existence and asymptotic behavior in a two-species chemotaxis system with logistic source

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:269

Article

Ren, Guoqiang^1,2,3  Liu, Bin^1,2 

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Hubei, Peoples R China

[3] Huazhong Univ Sci & Technol, Inst Artificial Intelligence, Wuhan 430074, Hubei, Peoples R China

关键词: Chemotaxis;    Lotka-Volterra competitive kinetics;    Global existence;    Asymptotic stability;   

DOI  :  10.1016/j.jde.2020.01.008

来源: Elsevier

【 摘 要 】

In this work we consider the two-species chemotaxis system with logistic source. We present the global existence of generalized solutions under appropriate regularity assumptions on the initial data. In addition, the asymptotic behavior of the solutions is studied, and our results generalize and improve some well-known results in the literature. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free