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.
- Brownian motion
- Stochastic predator-prey model
- asymptotic pathwise estimation
- stationary distribution
ASJC Scopus subject areas
- Statistics and Probability
- Modelling and Simulation