Global dynamics for an attraction-repulsion chemotaxis model with logistic source

被引：63
|
作者：
Ren, Guoqiang [1 ,2 ,3 ]
Liu, Bin [1 ,2 ]
机构：
[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 Artifcial Intelligence, Wuhan 430074, Hubei, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 08期
关键词：
Chemotaxis; Attraction-repulsion; Global dynamics; Logistic source; LARGE-TIME BEHAVIOR; KELLER-SEGEL SYSTEM; PATTERN-FORMATION; BLOW-UP; BOUNDEDNESS; EXISTENCE; ANGIOGENESIS;
D O I：
10.1016/j.jde.2019.10.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate attraction-repulsion chemotaxis system with logistic source under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary. Under appropriate regularity assumptions on the initial data, by some L-P-estimate techniques, using different methods, we show that the system possesses global classical solution or at least one global weak solution. In addition to, we also consider large time behavior of solutions and steady solutions to an attraction-repulsion chemotaxis system. These results generalize and improve previously known ones, and partially results are new. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：4320 / 4373
页数：54
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