A stochastic ratio-dependent predator-prey model under regime switching

被引：7
|
作者：
Lv, Jingliang [1 ]
Wang, Ke [1 ,2 ]
机构：
[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China
[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年
关键词：
It?(o)over-cap? formula; Irreducible; Exponential martingale inequality; Comparison theorem; Persistent in mean; Extinct; POPULATION-DYNAMICS;
D O I：
10.1186/1029-242X-2011-14
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article presents an investigation of asymptotic properties of a stochastic ratio-dependent predator-prey model under regime switching. Both the white and color noises are taken into account in our model. We obtain the global existence of positive unique solution of the stochastic model. And we show the solution is bounded in mean. Moreover, the sufficient conditions for persistence in mean, extinction are obtained.
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页数：17
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