Stationary distribution of a regime-switching predator–prey model with anti-predator behaviour and higher-order perturbations

Qun Liu; Daqing Jiang; Tasawar Hayat; Ahmed Alsaedi

doi:10.1016/j.physa.2018.09.168

Stationary distribution of a regime-switching predator–prey model with anti-predator behaviour and higher-order perturbations

Qun Liu
, Daqing Jiang
, Tasawar Hayat
, Ahmed Alsaedi

Northeast Normal University
Yulin Normal University
King Abdulaziz University
China University of Petroleum (East China)
Quaid-I-Azam University

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

26 Scopus citations

Abstract

In this paper, we study a regime-switching predator–prey model with anti-predator behaviour and higher-order perturbations. We obtain the ergodic property by constructing a suitable stochastic Lyapunov function with regime-switching, which provides us a biological perspective of cycling phenomena of a population system, and can better describe the stochastic persistence of a population system in practice. We find that these restrictive assumptions on the functional response are relative weak and valid for many types of response functions.

Original language	English
Pages (from-to)	199-210
Number of pages	12
Journal	Physica A: Statistical Mechanics and its Applications
Volume	515
DOIs	https://doi.org/10.1016/j.physa.2018.09.168
State	Published - 1 Feb 2019
Externally published	Yes

UN SDGs

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

SDG 15 Life on Land

Keywords

Anti-predator behaviour
Ergodicity
Higher-order perturbations
Stationary distribution
Stochastic predator–prey model

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10.1016/j.physa.2018.09.168

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abstract = "In this paper, we study a regime-switching predator–prey model with anti-predator behaviour and higher-order perturbations. We obtain the ergodic property by constructing a suitable stochastic Lyapunov function with regime-switching, which provides us a biological perspective of cycling phenomena of a population system, and can better describe the stochastic persistence of a population system in practice. We find that these restrictive assumptions on the functional response are relative weak and valid for many types of response functions.",

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AU - Liu, Qun

AU - Jiang, Daqing

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

PY - 2019/2/1

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AB - In this paper, we study a regime-switching predator–prey model with anti-predator behaviour and higher-order perturbations. We obtain the ergodic property by constructing a suitable stochastic Lyapunov function with regime-switching, which provides us a biological perspective of cycling phenomena of a population system, and can better describe the stochastic persistence of a population system in practice. We find that these restrictive assumptions on the functional response are relative weak and valid for many types of response functions.

KW - Anti-predator behaviour

KW - Ergodicity

KW - Higher-order perturbations

KW - Stationary distribution

KW - Stochastic predator–prey model

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JF - Physica A: Statistical Mechanics and its Applications

ER -

Stationary distribution of a regime-switching predator–prey model with anti-predator behaviour and higher-order perturbations

Abstract

UN SDGs

Keywords

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