DYNAMICS OF A GENERAL NON-AUTONOMOUS STOCHASTIC LOTKA-VOLTERRA MODEL WITH DELAYS

被引：0
|
作者：
Wang, Qing [1 ]
Yu, Yongguang [1 ]
Zhang, Shuo [1 ]
机构：
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2016年 / 6卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Non-autonomous Lotka-Valterra model; stochastic perturbation; delays; persistence; extinction; GLOBAL ASYMPTOTIC STABILITY; COMPETITIVE SYSTEM; INFINITE DELAYS; LOGISTIC MODEL; PERMANENCE; EQUATIONS; PERTURBATIONS; SIMULATIONS; PERSISTENCE; IMPULSES;
D O I：
10.11948/2016051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 value between weak persistence and extinction is obtained. Finally, numerical simulations are given to support the theoretical analysis results.
引用
收藏
页码：790 / 816
页数：27
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