Extinction and persistence of a nonautonomous stochastic food-chain system with impulsive perturbations  

作　　者：Baodan Tian Shouming Zhong Zhijun Liu 

机构地区：[1]＊Institute of Modeling and Algorithm, School of Science Southwest University of Science and Technology Mianyang 621010, P. R. China [2]School of Mathematical Sciences University of Electronic Science and Technology of China Chengdu 611731, P. R. China [3]School of Science, Hubei University for Nationalities Enshi 445000, P. R. China

出　　处：《International Journal of Biomathematics》2016年第5期217-242,共26页生物数学学报（英文版）

基　　金：Acknowledgments The authors would like to thank the editors and the anonymous referees for their helpful suggestions and comments which led to the improvement of our original manuscript. This work is supported by the National Natural Science Foundation of China （11372294 and 11261017）, Scientific Research Fund of Sichuan Provincial Education Department （14ZB0115 and 15ZB0113）, Zhejiang Provincial Natural Science Foundation （LQ13A010023） and Doctorial Research Fund of Southwest University of Science and Technology （15zx7138）.

摘　　要：In this paper, a nonautonomous stochastic food-chain system with functional response and impulsive perturbations is studied. By using Ito＇s formula, exponential martingale inequality, differential inequality and other mathematical skills, some sufficient conditions for the extinction, nonpersistence in the mean, persistence in the mean, and stochastic permanence of the system are established. Furthermore, some asymptotic properties of the solutions are also investigated. Finally, a series of numerical examples are presented to support the theoretical results, and effects of different intensities of white noises perturbations and impulsive effects are discussed by the simu｜ations.

关 键 词：Food-chain system functional response stochastic perturbations impulsive effects EXTINCTION stochastic permanence. 

分 类 号：O175[理学—数学] Q141[理学—基础数学]