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

被引：10

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.

引用

页数：39

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