Stochastic dynamics for the solutions of a modified Holling-Tanner model with random perturbation

被引：4
|
作者：
Liu, Zhenjie [1 ]
机构：
[1] Harbin Univ, Dept Math, Harbin 150086, Heilongjiang, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2014年 / 25卷 / 11期
基金：
美国国家科学基金会;
关键词：
Ito(o)over-cap's formula; Holling-Tanner model; predator-prey model; Leslie-Gower model; persistence in mean; MODIFIED LESLIE-GOWER; PREDATOR-PREY MODEL; II SCHEMES; ENVIRONMENTAL FLUCTUATION; GLOBAL STABILITY; PERSISTENCE; EXTINCTION; SYSTEM;
D O I：
10.1142/S0129167X14501055
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a stochastic nonautonomous predator-prey model with modified Leslie-Gower and Holling II schemes in the presence of environmental forcing. The deterministic model is the modified Holling-Tanner model which is an extension of the classical Leslie-Gower model. We show that there is a unique positive solution to the stochastic system for any positive initial value. Sufficient conditions for strong persistence in mean and extinction to the stochastic system are established.
引用
收藏
页数：23
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