Persistence and stationary distribution of a stochastic predator-prey model under regime switching
Zu, Li ; Jiang, Daqing ; O'Regan, Donal
Zu, Li
Jiang, Daqing
O'Regan, Donal
Repository DOI
Publication Date
2017-02-01
Type
Article
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Citation
Zu, Li ; Jiang, Daqing ; O'Regan, Donal (2017). Persistence and stationary distribution of a stochastic predator-prey model under regime switching. Discrete and Continuous Dynamical Systems 37 (5), 2881-2897
Abstract
Taking both white noise and colored environment noise into account, 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 between persistence in mean and the extinction of the stochastic system with regime switching. Some simulation figures are presented to support the analytical findings.
Funder
Publisher
American Institute of Mathematical Sciences (AIMS)
Publisher DOI
10.3934/dcds.2017124
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Attribution-NonCommercial-NoDerivs 3.0 Ireland