Analysis of a stochastic predator-prey system with foraging arena scheme. (English) Zbl 1490.60145
Summary: 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.
MSC:
| 60H10 | Stochastic ordinary differential equations (aspects of stochastic analysis) |
| 92D25 | Population dynamics (general) |
| 34F05 | Ordinary differential equations and systems with randomness |
Keywords:
stochastic predator-prey model; Brownian motion; asymptotic pathwise estimation; stationary distributionReferences:
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