Global solvability of prey-predator models with indirect predator-taxis

被引：35

作者：

Ahn, Inkyung ^{[1
]}

Yoon, Changwook ^{[1
]}

机构：

[1] Korea Univ, Dept Math, Sejong 30019, South Korea

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2021年 / 72卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Prey-predator model; Indirect predator-taxis; Global existence; Linear stability; Global stability;

D O I：

10.1007/s00033-020-01461-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper analyzes prey-predator models with indirect predator-taxis in such a way that chemical secreted by the predator triggers the repellent behavior of prey against the predator. Under the assumption of quadratic decay of predator, we prove the global existence and uniform boundedness of classical solutions up to two spatial dimensions. Moreover, via the linear stability analysis, we show that large chemosensitivity gives rise to the occurrence of pattern formations. We also obtain the global stability results for the nontrivial constant steady states by establishing proper Lyapunov functionals.

引用

页数：20

共 33 条

[1] Global well-posedness and stability analysis of prey-predator model with indirect prey-taxis [J].