Persistence, extinction and global asymptotical stability of a non-autonomous predator-prey model with random perturbation

被引：64
作者：
Liu, Meng [1 ]
Wang, Ke [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2012年 / 36卷 / 11期
基金：
中国博士后科学基金;
关键词：
Non-autonomous predator-prey model; Stochastic perturbation; Persistence; Extinction; Global asymptotical stability; POPULATION; PERMANENCE; BEHAVIOR; SYSTEM;
D O I：
10.1016/j.apm.2011.12.057
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A two-species stochastic non-autonomous predator-prey model is investigated. Sufficient criteria for extinction, non-persistence in the mean and weak persistence in the mean are established. The critical value between persistence and extinction is obtained for each species in many cases. It is also shown that the system is globally asymptotically stable under some simple conditions. Some numerical simulations are introduced to illustrate the main results. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：5344 / 5353
页数：10
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