Stationary distribution and persistence of a stochastic predator-prey model with a functional response

Jingliang Lv; Heng Liu; Xiaoling Zou

doi:10.11948/2019.1

Stationary distribution and persistence of a stochastic predator-prey model with a functional response

Jingliang Lv^*
, Heng Liu
, Xiaoling Zou

^*Corresponding author for this work

Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

A stochastic predator-prey model with a functional response is investigated in this paper. The asymptotic properties of the stochastic model are considered here. Under some conditions, we show that the stochastic model is persistent in mean. Moreover, the existence of stationary distribution to the model is obtained. Simulations are also carried out to confirm our analytical results.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Journal of Applied Analysis and Computation
Volume	9
Issue number	1
DOIs	https://doi.org/10.11948/2019.1
State	Published - 2019
Externally published	Yes

Keywords

Persistence in mean
Predator-prey
Stationary distribution

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10.11948/2019.1

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title = "Stationary distribution and persistence of a stochastic predator-prey model with a functional response",

abstract = "A stochastic predator-prey model with a functional response is investigated in this paper. The asymptotic properties of the stochastic model are considered here. Under some conditions, we show that the stochastic model is persistent in mean. Moreover, the existence of stationary distribution to the model is obtained. Simulations are also carried out to confirm our analytical results.",

keywords = "Persistence in mean, Predator-prey, Stationary distribution",

author = "Jingliang Lv and Heng Liu and Xiaoling Zou",

year = "2019",

doi = "10.11948/2019.1",

language = "英语",

volume = "9",

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T1 - Stationary distribution and persistence of a stochastic predator-prey model with a functional response

AU - Lv, Jingliang

AU - Liu, Heng

AU - Zou, Xiaoling

PY - 2019

Y1 - 2019

N2 - A stochastic predator-prey model with a functional response is investigated in this paper. The asymptotic properties of the stochastic model are considered here. Under some conditions, we show that the stochastic model is persistent in mean. Moreover, the existence of stationary distribution to the model is obtained. Simulations are also carried out to confirm our analytical results.

AB - A stochastic predator-prey model with a functional response is investigated in this paper. The asymptotic properties of the stochastic model are considered here. Under some conditions, we show that the stochastic model is persistent in mean. Moreover, the existence of stationary distribution to the model is obtained. Simulations are also carried out to confirm our analytical results.

KW - Persistence in mean

KW - Predator-prey

KW - Stationary distribution

UR - https://www.scopus.com/pages/publications/85063530914

U2 - 10.11948/2019.1

DO - 10.11948/2019.1

M3 - 文章

AN - SCOPUS:85063530914

SN - 2156-907X

VL - 9

SP - 1

EP - 11

JO - Journal of Applied Analysis and Computation

JF - Journal of Applied Analysis and Computation

IS - 1

ER -

Stationary distribution and persistence of a stochastic predator-prey model with a functional response

Abstract

Keywords

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