Ergodic property of a Lotka–Volterra predator–prey model with white noise higher order perturbation under regime switching

Li Zu; Daqing Jiang; Donal O'Regan; Tasawar Hayat; Bashir Ahmad

doi:10.1016/j.amc.2018.02.035

Ergodic property of a Lotka–Volterra predator–prey model with white noise higher order perturbation under regime switching

Li Zu
, Daqing Jiang
, Donal O'Regan
, Tasawar Hayat
, Bashir Ahmad

Mathematics

Hainan Normal University
China University of Petroleum (East China)
King Abdulaziz University
Quaid-i-Azam University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

42 Citations (Scopus)

Abstract

In this paper, we investigate a classical Lotka–Volterra predator–prey model with telephone noise and a higher order perturbation of white noise. The existence of a unique positive solution is discussed and sufficient conditions for the existence of an ergodic stationary distribution is established. Some simulation figures are presented to illustrate the analytical findings.

Original language	English
Pages (from-to)	93-102
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	330
DOIs	https://doi.org/10.1016/j.amc.2018.02.035
Publication status	Published - 1 Aug 2018

UN SDGs

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

SDG 15 Life on Land

Keywords

Ergodic property
Higher order perturbation
Lotka–Volterra predator–prey model
Stationary distribution

Access to Document

10.1016/j.amc.2018.02.035

Cite this

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abstract = "In this paper, we investigate a classical Lotka–Volterra predator–prey model with telephone noise and a higher order perturbation of white noise. The existence of a unique positive solution is discussed and sufficient conditions for the existence of an ergodic stationary distribution is established. Some simulation figures are presented to illustrate the analytical findings.",

keywords = "Ergodic property, Higher order perturbation, Lotka–Volterra predator–prey model, Stationary distribution",

author = "Li Zu and Daqing Jiang and Donal O'Regan and Tasawar Hayat and Bashir Ahmad",

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AU - Jiang, Daqing

AU - O'Regan, Donal

AU - Hayat, Tasawar

AU - Ahmad, Bashir

PY - 2018/8/1

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N2 - In this paper, we investigate a classical Lotka–Volterra predator–prey model with telephone noise and a higher order perturbation of white noise. The existence of a unique positive solution is discussed and sufficient conditions for the existence of an ergodic stationary distribution is established. Some simulation figures are presented to illustrate the analytical findings.

AB - In this paper, we investigate a classical Lotka–Volterra predator–prey model with telephone noise and a higher order perturbation of white noise. The existence of a unique positive solution is discussed and sufficient conditions for the existence of an ergodic stationary distribution is established. Some simulation figures are presented to illustrate the analytical findings.

KW - Ergodic property

KW - Higher order perturbation

KW - Lotka–Volterra predator–prey model

KW - Stationary distribution

UR - https://www.scopus.com/pages/publications/85042759388

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JO - Applied Mathematics and Computation

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ER -

Ergodic property of a Lotka–Volterra predator–prey model with white noise higher order perturbation under regime switching

Abstract

UN SDGs

Keywords

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