Dynamics for a two-species competitive Keller-Segel chemotaxis system with a free boundary

被引：6
|
作者：
Wang, Yizhuo [1 ]
Guo, Shangjiang [1 ]
机构：
[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 502卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Two-species competition model; Chemotaxis systems; Free boundary problem; Spreading-vanishing dichotomy; Asymptotic behavior; REACTION-DIFFUSION MODEL; ASYMPTOTIC STABILITY; BLOW-UP; GLOBAL EXISTENCE; TRAVELING-WAVES; BOUNDEDNESS; STABILIZATION; BEHAVIOR; BANDS;
D O I：
10.1016/j.jmaa.2021.125259
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a two-species competitive chemotaxis Keller-Segel system equipped with a free boundary. The local existence and global existence of classical solutions are established, and then the asymptotic behavior of the solutions is described. Some spreading-vanishing dichotomies have been obtained both for the strong competition case: 0 < a(1) < 1 <= a(2), and weak competition case: 0 < a(1), a(2) < 1. Finally, an obstructed spreading case has been found, which could happen due to the effect of the chemotaxis. (C) 2021 Elsevier Inc. All rights reserved.
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页数：39
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