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

Free 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)

Access to Document

10.1080/17442508.2019.1612897

Cite this

@article{6d9c6627e0dd421b92da2e84f00a543a,

title = "Analysis of a stochastic predator-prey system with foraging arena scheme",

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.",

keywords = "Brownian motion, Stochastic predator-prey model, asymptotic pathwise estimation, stationary distribution",

author = "Yongmei Cai and Siyang Cai and Xuerong Mao",

note = "Publisher Copyright: {\textcopyright} 2019, {\textcopyright} 2019 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2020",

month = feb,

day = "17",

doi = "10.1080/17442508.2019.1612897",

language = "English",

volume = "92",

pages = "193--222",

journal = "Stochastics",

issn = "1744-2508",

publisher = "Gordon and Breach Science Publishers",

number = "2",

}

TY - JOUR

T1 - Analysis of a stochastic predator-prey system with foraging arena scheme

AU - Cai, Yongmei

AU - Cai, Siyang

AU - Mao, Xuerong

PY - 2020/2/17

Y1 - 2020/2/17

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

UR - https://www.scopus.com/pages/publications/85065714708

U2 - 10.1080/17442508.2019.1612897

DO - 10.1080/17442508.2019.1612897

M3 - Article

AN - SCOPUS:85065714708

SN - 1744-2508

VL - 92

SP - 193

EP - 222

JO - Stochastics

JF - Stochastics

IS - 2

ER -

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

Abstract

Free Keywords

ASJC Scopus subject areas

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this