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

Advances in Difference Equations

Xinan Zhang¹  Shuang Li² 

[1] Department of Mathematics, Xinxiang University, Xinxiang, Henan, P.R. China;School of Mathematics and Statistics, Central China Normal University, Wuhan, Hubei, P.R. China

关键词: predator-prey;    non-autonomous;    stochastic;    Beddington-DeAngelis;    persistence;    extinction;   

DOI  :  10.1186/1687-1847-2013-19

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A stochastic non-autonomous predator-prey system with Beddington-DeAngelis functional response is proposed, the existence of a global positive solution and stochastically ultimate boundedness are derived. Sufficient conditions for extinction, non-persistence in the mean, weak persistence in the mean and strong persistence in the mean are established. The global attractiveness of the solution is also considered. Finally, numerical simulations are carried out to support our findings. MSC:92B05, 34F05, 60H10, 93E03.

【 授权许可】

CC BY