Boundedness of a predator-prey model with density-dependent motilities and stage structure for the predator

被引：2
|
作者：
Xiang, Ailing [1 ]
Wang, Liangchen [1 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
来源：
ELECTRONIC RESEARCH ARCHIVE | 2022年 / 30卷 / 05期
关键词：
biological predator-prey model; boundedness; density-dependent motilities; stage structure; prey-taxis; PATTERN-FORMATION; GLOBAL EXISTENCE; UNIFORM BOUNDEDNESS; DIFFUSION SYSTEM; STABILITY;
D O I：
10.3934/era.2022099
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a predator-prey model with density-dependent prey-taxis and stage structure for the predator. We establish the existence of classical solutions with uniform-in-time bound in a one-dimensional case. In addition, we prove that the solution stabilizes to the prey-only steady state under some conditions.
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页码：1954 / 1972
页数：19
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