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

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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.

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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KW - Ergodicity

KW - Stationary distribution

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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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