GLOBAL BOUNDEDNESS OF A THREE-SPECIES PREDATOR-PREY MODEL WITH PREY-TAXIS AND COMPETITION

被引：3
|
作者：
Li, Songzhi [1 ]
Wang, Kaiqiang [1 ]
机构：
[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2023年 / 43卷 / 10期
关键词：
Predator-prey; prey-taxis; global boundedness; competition; energy estimates; REACTION-DIFFUSION SYSTEM; BLOW-UP; EXISTENCE; STABILITY;
D O I：
10.3934/dcds.2023061
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the following three-species predator-prey problem with prey-taxis and competition: [GRAPHICS] in a bounded domain Omega subset of R-2 with smooth boundary subject to homogeneous Neumann boundary conditions, where all parameters are positive constants. Utilizing coupling energy estimates and semigroup theory, we establish the global existence of classical solutions for sigma > 5/3 and appropriate initial data.
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页码：3644 / 3666
页数：23
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