DYNAMICAL BEHAVIOR IN A REACTION-DIFFUSION SYSTEM WITH PREY-TAXIS

被引：0

作者：

Song, Yingwei ^{[1
,2
]}

Zhang, Tie ^{[1
]}

Li, Jinpeng ^{[3
]}

机构：

[1] Northeastern Univ, Dept Math, Shenyang 110006, Peoples R China

[2] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Peoples R China

[3] UCL, Dept Math, London WC1E 6BT, England

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 2022卷 / 37期

关键词：

Reaction; diffusion; global solution; stability; PATTERN-FORMATION; GLOBAL STABILITY; MODEL;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study a diffusive predator-prey system with prey taxis under homogeneous Neumann boundary conditions. We establish the existence and boundedness of nonnegative global solutions. Through comparison with the system without prey taxis, we find that the positive constant equilibrium remains stable for positive prey taxis, while negative prey taxis makes it unstable.

引用

页数：15

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