Analysis of a stochastic predator-prey system with foraging arena scheme

Cai, Yongmei and Cai, Siyang and Mao, Xuerong (2019) Analysis of a stochastic predator-prey system with foraging arena scheme. Stochastics: An International Journal of Probability and Stochastic Processes. ISSN 1744-2508

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    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.