Abstract
The goal of this paper is to introduce and to initiate a study of a predator-prey system with Holling type II functional response, which is disturbed by both Markov switching and white noise. Our main aim is to investigate the dynamical properties of this model. First, we establish sufficient conditions of the strong persistence in the mean and the extinction of the predator population and obtain the threshold between them. Then, we show the existence of a unique ergodic stationary distribution under some natural conditions. Finally, a numerical example and figures are presented to illustrate the results.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 2171-2197 |
| Number of pages | 27 |
| Journal | Bulletin Of The Malaysian Mathematical Sciences Society |
| Volume | 43 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 May 2020 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 15 Life on Land
Keywords
- Holling type II functional response
- Markov switching
- Stationary distribution
- Stochastic predator–prey model
- Threshold
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Jiang, XB,Zu, L,Jiang, DQ,O'Regan, D
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