Global stability of a stochastic predator-prey model with Allee effect  

作　　者：Baodan Tian Liu Yang Shouming Zhong 

机构地区：[1]School of Mathematics ScienceUniversity of Electronic Science and Technology of China Chengdu 611731, P. R. China [2]tylazx@126. com

出　　处：《International Journal of Biomathematics》2015年第4期37-51,共15页生物数学学报（英文版）

基　　金：Acknowledgments The authors thank the editor and referees for their valuable comments and suggestions. This work is supported by the National Basic Research Program of China （2010CB732501） and the National Natural Science Foundation of China （61273015）, the NSFC Tianyuan Foundation （Grant No. 11226256） and the Zhejiang Provincial Natural Science Foundation of China （Grant No. LY13A010010）, Zhejiang Provincial Natural Science Foundation of China LQ13A010023）.

摘　　要：In this paper, we study a stochastic predator-prey model with Beddington-DeAngelis functional response and Allee effect, and show that there is a unique global positive solution to the system with the positive initial value. Sufficient conditions for global asymptotic stability are established. Some simulation figures are introduced to support the analytical findings.

关 键 词：Predator prey model stochastic perturbation Allee effect It5 formula sta-bility. 

分 类 号：Q141[生物学—生态学] TU311.3[生物学—普通生物学]