Dynamical behavior in a reaction-diffusion system with prey-taxis

Electronic Journal of Differential Equations

article

Yingwei Song¹  Tie Zhang¹  Jinpeng Li² 

[1] Department of Mathematics Northeastern University Shenyang 110006;Department of Mathematics University College London London WC1E 6BT

关键词: Reaction;    diffusion;    global solution;    stability;   

DOI  :  10.58997/ejde.2022.37

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

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

【 授权许可】

CC BY