Non-Constant Positive Steady States for a Predator-Prey Cross-Diffusion Model with Beddington-DeAngelis Functional Response

Boundary value problems

Lina Zhang¹  Shengmao Fu¹ 

[1] Department of Mathematics, Northwest Normal University, Lanzhou, China

关键词: Boundary Condition;    Differential Equation;    Steady State;    Partial Differential Equation;    Ordinary Differential Equation;   

DOI  :  10.1155/2011/404696

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper deals with a predator-prey model with Beddington-DeAngelis functional response under homogeneous Neumann boundary conditions. We mainly discuss the following three problems: (1) stability of the nonnegative constant steady states for the reaction-diffusion system; (2) the existence of Turing patterns; (3) the existence of stationary patterns created by cross-diffusion.

【 授权许可】

CC BY