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 (https://doi.org/10.1080/17442508.2019.1612897)

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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.

ORCID iDs

Cai, Yongmei ORCID logoORCID: https://orcid.org/0000-0003-4617-5618, Cai, Siyang ORCID logoORCID: https://orcid.org/0000-0002-8959-599X and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
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