Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence

Qun Liu; Daqing Jiang; Ningzhong Shi; Tasawar Hayat; Ahmed Alsaedi

doi:10.1016/j.physa.2016.11.077

Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence

Qun Liu
, Daqing Jiang
, Ningzhong Shi
, Tasawar Hayat
, Ahmed Alsaedi

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

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

64 Scopus citations

Abstract

In this paper, we consider a stochastic SIRS epidemic model with standard incidence. By constructing suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of ergodic stationary distribution of the model. Moreover, we also establish sufficient conditions for extinction of the disease.

Original language	English
Pages (from-to)	510-517
Number of pages	8
Journal	Physica A: Statistical Mechanics and its Applications
Volume	469
DOIs	https://doi.org/10.1016/j.physa.2016.11.077
State	Published - 1 Mar 2017
Externally published	Yes

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Extinction
Nonlinear incidence
Stationary distribution
Stochastic SIRS epidemic model

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10.1016/j.physa.2016.11.077

Cite this

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title = "Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence",

abstract = "In this paper, we consider a stochastic SIRS epidemic model with standard incidence. By constructing suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of ergodic stationary distribution of the model. Moreover, we also establish sufficient conditions for extinction of the disease.",

keywords = "Extinction, Nonlinear incidence, Stationary distribution, Stochastic SIRS epidemic model",

author = "Qun Liu and Daqing Jiang and Ningzhong Shi and Tasawar Hayat and Ahmed Alsaedi",

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year = "2017",

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T1 - Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence

AU - Liu, Qun

AU - Jiang, Daqing

AU - Shi, Ningzhong

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

PY - 2017/3/1

Y1 - 2017/3/1

N2 - In this paper, we consider a stochastic SIRS epidemic model with standard incidence. By constructing suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of ergodic stationary distribution of the model. Moreover, we also establish sufficient conditions for extinction of the disease.

AB - In this paper, we consider a stochastic SIRS epidemic model with standard incidence. By constructing suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of ergodic stationary distribution of the model. Moreover, we also establish sufficient conditions for extinction of the disease.

KW - Extinction

KW - Nonlinear incidence

KW - Stationary distribution

KW - Stochastic SIRS epidemic model

UR - https://www.scopus.com/pages/publications/84999636213

U2 - 10.1016/j.physa.2016.11.077

DO - 10.1016/j.physa.2016.11.077

M3 - Article

AN - SCOPUS:84999636213

SN - 0378-4371

VL - 469

SP - 510

EP - 517

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence

Abstract

UN SDGs

Keywords

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