A note on a stochastic perturbed DI SIR epidemic model

Qingshan Yang; J. I. Chunyan; Daqing Jiang; Donal O'Regan; Ravi P. Agarwal

A note on a stochastic perturbed DI SIR epidemic model

Qingshan Yang
, J. I. Chunyan
, Daqing Jiang
, Donal O'Regan
, Ravi P. Agarwal

Mathematics

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

Abstract

In this paper, we investigate the asymptotic behavior of a DI SIR epidemic model with a stochastic perturbation. The ergodic property is obtained by stochastic Lyapunov functions. We also make simulations to show how the solution goes around the endemic equilibrium of a deterministic system under conditions, which conform to our analytical result.

Original language	English
Pages (from-to)	183-192
Number of pages	10
Journal	Dynamic Systems and Applications
Volume	20
Issue number	2-3
Publication status	Published - Jun 2011

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Itô's formula
Stochastic DI SIR epidemic model
Stochastic lyapunov function

Cite this

@article{ebf0fb3f77244ab4ad21f64ebc502bb7,

title = "A note on a stochastic perturbed DI SIR epidemic model",

abstract = "In this paper, we investigate the asymptotic behavior of a DI SIR epidemic model with a stochastic perturbation. The ergodic property is obtained by stochastic Lyapunov functions. We also make simulations to show how the solution goes around the endemic equilibrium of a deterministic system under conditions, which conform to our analytical result.",

keywords = "It{\^o}'s formula, Stochastic DI SIR epidemic model, Stochastic lyapunov function",

author = "Qingshan Yang and Chunyan, \{J. I.\} and Daqing Jiang and Donal O'Regan and Agarwal, \{Ravi P.\}",

year = "2011",

month = jun,

language = "English",

volume = "20",

pages = "183--192",

journal = "Dynamic Systems and Applications",

issn = "1056-2176",

publisher = "Dynamic Publishers",

number = "2-3",

}

TY - JOUR

T1 - A note on a stochastic perturbed DI SIR epidemic model

AU - Yang, Qingshan

AU - Chunyan, J. I.

AU - Jiang, Daqing

AU - O'Regan, Donal

AU - Agarwal, Ravi P.

PY - 2011/6

Y1 - 2011/6

N2 - In this paper, we investigate the asymptotic behavior of a DI SIR epidemic model with a stochastic perturbation. The ergodic property is obtained by stochastic Lyapunov functions. We also make simulations to show how the solution goes around the endemic equilibrium of a deterministic system under conditions, which conform to our analytical result.

AB - In this paper, we investigate the asymptotic behavior of a DI SIR epidemic model with a stochastic perturbation. The ergodic property is obtained by stochastic Lyapunov functions. We also make simulations to show how the solution goes around the endemic equilibrium of a deterministic system under conditions, which conform to our analytical result.

KW - Itô's formula

KW - Stochastic DI SIR epidemic model

KW - Stochastic lyapunov function

UR - https://www.scopus.com/pages/publications/82455174895

M3 - Article

SN - 1056-2176

VL - 20

SP - 183

EP - 192

JO - Dynamic Systems and Applications

JF - Dynamic Systems and Applications

IS - 2-3

ER -

A note on a stochastic perturbed DI SIR epidemic model

Abstract

UN SDGs

Keywords

Other files and links

Fingerprint

Cite this