Abstract
This paper focuses on a predator-prey system with foraging arena scheme incorporating stochastic noises. This SDE model is generated from a deterministic framework by the stochastic parameter perturbation. We then study how the correlations of the environmental noises affect the long-time behaviours of the SDE model. Later on the existence of a stationary distribution is pointed out under certain parametric restrictions. Numerical simulations are carried out to substantiate the analytical results.
| Original language | English |
|---|---|
| Pages (from-to) | 193-222 |
| Number of pages | 30 |
| Journal | Stochastics |
| Volume | 92 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 17 Feb 2020 |
| Externally published | Yes |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 15 Life on Land
Free Keywords
- Brownian motion
- Stochastic predator-prey model
- asymptotic pathwise estimation
- stationary distribution
ASJC Scopus subject areas
- Statistics and Probability
- Modelling and Simulation
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