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

Yongmei Cai; Siyang Cai; Xuerong Mao

doi:10.1080/17442508.2019.1612897

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

Yongmei Cai, Siyang Cai, Xuerong Mao

Mathematics And Statistics

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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.

Original language	English
Number of pages	30
Journal	Stochastics: An International Journal of Probability and Stochastic Processes
Early online date	10 May 2019
DOIs	https://doi.org/10.1080/17442508.2019.1612897
Publication status	E-pub ahead of print - 10 May 2019

Keywords

stochastic predator-prey model
Brownian motion
asymptotic pathwise estimation
stationary distribution

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Cai-etal-Stochastics-2019-Analysis-of-a-stochastic-predator-prey-systemAccepted author manuscript, 912 KB

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KW - Brownian motion

KW - asymptotic pathwise estimation

KW - stationary distribution

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

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Keywords

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