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

Jingliang Lv; Ke Wang

doi:10.1186/1029-242X-2011-14

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

Jingliang Lv
, Ke Wang^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai
Northeast Normal University

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

This article presents an investigation of asymptotic properties of a stochastic ratiodependent 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 .

Original language	English
Article number	14
Journal	Journal of Inequalities and Applications
Volume	2011
DOIs	https://doi.org/10.1186/1029-242X-2011-14
State	Published - 2011
Externally published	Yes

Keywords

Comparison theorem
Exponential martingale inequality
Extinct
Irreducible
Ito formula
Persistent in mean

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10.1186/1029-242X-2011-14

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abstract = "This article presents an investigation of asymptotic properties of a stochastic ratiodependent 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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N2 - This article presents an investigation of asymptotic properties of a stochastic ratiodependent 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 .

AB - This article presents an investigation of asymptotic properties of a stochastic ratiodependent 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 .

KW - Comparison theorem

KW - Exponential martingale inequality

KW - Extinct

KW - Irreducible

KW - Ito formula

KW - Persistent in mean

UR - https://www.scopus.com/pages/publications/84868125076

U2 - 10.1186/1029-242X-2011-14

DO - 10.1186/1029-242X-2011-14

M3 - 文章

AN - SCOPUS:84868125076

SN - 1025-5834

VL - 2011

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 14

ER -

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

Abstract

Keywords

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