Dynamics of a stochastic cooperative predator-prey system with Beddington-DeAngelis functional response

Advances in Difference Equations

Yiqiang Wei¹  Xiaoyan Liu¹ 

[1] College of Mathematics, Taiyuan University of Technology, Taiyuan, China

关键词: stochastic differential equation;    Beddington-DeAngelis functional response;    stochastic perturbation;    global asymptotic stability;   

DOI  :  10.1186/s13662-015-0698-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a stochastic cooperative predator-prey system with Beddington-DeAngelis functional response is proposed. By constructing Lyapunov functions, we demonstrate the existence of global positive solution, which is stochastically bounded and permanent. In addition, under some specific conditions, the solution of this stochastic system is globally asymptotically stable, which means that the properties of the solution will not be changed when the stochastic perturbation is small. Finally, the influence of the stochastic perturbation is demonstrated by simulation.

【 授权许可】

CC BY