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

• 作 者: QingWang;YongguangYu;ShuoZhang;
• 机 构: Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, P.R.China
• 出 处: 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)
• 发表日期: 2014年期

　　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.