1. Department of Mathematics and Statistics, University of Strathclyde, Glasgow, UK;2. Department of Mathematics and Statistics, University of Strathclyde, Glasgow, UKhttps://orcid.org/0000-0002-6768-9864
Abstract:
ABSTRACTThis 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.