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

Research output: Journal Publication › Article › peer-review

10 Citations (Scopus)

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
Pages (from-to)	193-222
Number of pages	30
Journal	Stochastics
Volume	92
Issue number	2
DOIs	https://doi.org/10.1080/17442508.2019.1612897
Publication status	Published - 17 Feb 2020
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Statistics and Probability
Modelling and Simulation

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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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.",

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AU - Mao, Xuerong

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N2 - 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.

AB - 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.

KW - Brownian motion

KW - Stochastic predator-prey model

KW - asymptotic pathwise estimation

KW - stationary distribution

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

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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