The long time behavior of a predator-prey model with disease in the prey by stochastic perturbation

Qiumei Zhang; Daqing Jiang; Zhenwen Liu; Donal O'Regan

doi:10.1016/j.amc.2014.07.088

The long time behavior of a predator-prey model with disease in the prey by stochastic perturbation

Qiumei Zhang
, Daqing Jiang
, Zhenwen Liu
, Donal O'Regan

Mathematics

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

23 Citations (Scopus)

Abstract

In this paper, we formulate a predator-prey model with disease in the prey by stochastic perturbation. Using Lyapunov analysis methods we discuss the asymptotic behavior of this solution. Furthermore, we investigate whether that there exists a stationary distribution for this system and if it has the ergodic property. Finally we make simulations to illustrate our analytical results.

Original language	English
Pages (from-to)	305-320
Number of pages	16
Journal	Applied Mathematics and Computation
Volume	245
DOIs	https://doi.org/10.1016/j.amc.2014.07.088
Publication status	Published - 15 Oct 2014

Keywords

Asymptotically stable
Ergodicity
Stationary distribution

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Zhang, QM,Jiang, DQ,Liu, ZW,O'Regan, D

UN SDGs

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

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10.1016/j.amc.2014.07.088

Cite this

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abstract = "In this paper, we formulate a predator-prey model with disease in the prey by stochastic perturbation. Using Lyapunov analysis methods we discuss the asymptotic behavior of this solution. Furthermore, we investigate whether that there exists a stationary distribution for this system and if it has the ergodic property. Finally we make simulations to illustrate our analytical results.",

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AU - O'Regan, Donal

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AB - In this paper, we formulate a predator-prey model with disease in the prey by stochastic perturbation. Using Lyapunov analysis methods we discuss the asymptotic behavior of this solution. Furthermore, we investigate whether that there exists a stationary distribution for this system and if it has the ergodic property. Finally we make simulations to illustrate our analytical results.

KW - Asymptotically stable

KW - Ergodicity

KW - Stationary distribution

UR - https://www.scopus.com/pages/publications/84906330388

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M3 - Article

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SP - 305

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The long time behavior of a predator-prey model with disease in the prey by stochastic perturbation

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

UN SDGs

Access to Document

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