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

作者：Li, Shuang^*; Zhang, Xinan

来源：Advances in Difference Equations, 2013, 2013(1): 19.

DOI：10.1186/1687-1847-2013-19

• predator-prey
• non-autonomous
• stochastic
• Beddington-DeAngelis
• persistence
• extinction

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

• 出版日期2013
• 单位新乡学院; 华中师范大学