Dynamics of a general non-autonomous stochastic Lotka-Volterra model with delays

摘要：

　　In this paper, a general non-autonomous n-species Lotka-Volterra model with delays and stochastic perturbation is investigated.For this model, sufficient conditions for extinction, non-persistence in the mean, weak persistence and stochastic permanence are established.The influences of the stochastic noises to the properties of the stochastic model are discussed.The property permanence for the model is preserved with the sufficiently small noise and sufficiently large noise may cause extinction of the model.The critical number between weak persistence and extinction is obtained.Finally, numerical simulations are given to support the theoretical analysis results.

关键词： Non-autonomous Lotka-Valterra model Stochastic perturbation Delays Persistence Extinction

作者: Qing Wang Yongguang Yu Shuo Zhang

作者单位: Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, P.R.China

会议类型: 国内会议

会议名称: 西南大学2014年全国博士生学术论坛(电子技术与信息科学领域)

会议地点: 重庆

会议语种:英文

页码: 367-395

在线出版日期: 2014-12-01（万方平台首次上网日期，不代表论文的发表时间）