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

Journal of Inequalities and Applications

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

DOI  :  

来源: DOAJ

【 摘 要 】

Abstract

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】

Unknown