Persistence and stationary distribution of a stochastic predator-prey model under regime switching

Li Zu; Daqing Jiang; Donal O'Regan

doi:10.3934/dcds.2017124

Persistence and stationary distribution of a stochastic predator-prey model under regime switching

Li Zu
, Daqing Jiang
, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

Taking both white noise and colored environment noise into ac- count, a predator-prey model is proposed. In this paper, our main aim is to study the stationary distribution of the solution and obtain the threshold be- tween persistence in mean and the extinction of the stochastic system with regime switching. Some simulation figures are presented to support the ana- lytical findings.

Original language	English
Pages (from-to)	2881-2897
Number of pages	17
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	37
Issue number	5
DOIs	https://doi.org/10.3934/dcds.2017124
Publication status	Published - May 2017

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 15 Life on Land

Keywords

Extinction
Markov switching
Station-ary distribution
Stochastic predator-prey model
Threshold

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10.3934/dcds.2017124

Cite this

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Persistence and stationary distribution of a stochastic predator-prey model under regime switching

Abstract

UN SDGs

Keywords

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