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

Journal of inequalities and applications

Jingliang Lv¹ 

关键词: Itô formula;    Irreducible;    Exponential martingale inequality;    Comparison theorem;    Persistent in mean;    Extinct;   

DOI  :  10.1186/1029-242X-2011-14

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY