Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis

被引：175
|
作者：
Wu, Sainan [1 ]
Shi, Junping [2 ]
Wu, Boying [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 07期
基金：
美国国家科学基金会; 中国国家自然科学基金;
关键词：
Reaction diffusion system with prey-taxis; Predator-prey model; Global existence; Boundedness; Uniform persistence; PARABOLIC CHEMOTAXIS SYSTEM; KELLER-SEGEL SYSTEM; PATTERN-FORMATION; BLOW-UP; BOUNDEDNESS; DYNAMICS; BIFURCATION; STABILITY; MOTILITY; GROWTH;
D O I：
10.1016/j.jde.2015.12.024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper proves the global existence and boundedness of solutions to a general reaction diffusion predator prey system with prey-taxis defined on a smooth bounded domain with no-flux boundary condition. The result holds for domains in arbitrary spatial dimension and small prey-taxis sensitivity coefficient. This paper also proves the existence of a global attractor and the uniform persistence of the system under some additional conditions. Applications to models from ecology and chemotaxis are discussed. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：5847 / 5874
页数：28
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