Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching

Xinhong Zhang; Daqing Jiang; Ahmed Alsaedi; Tasawar Hayat

doi:10.1016/j.aml.2016.03.010

Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching

Xinhong Zhang
, Daqing Jiang
, Ahmed Alsaedi
, Tasawar Hayat

China University of Petroleum (East China)
King Abdulaziz University
Quaid-I-Azam University

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

122 Scopus citations

Abstract

This paper addresses a stochastic SIS epidemic model with vaccination under regime switching. The stochastic model in this paper includes white and color noises. By constructing stochastic Lyapunov functions with regime switching, we establish sufficient conditions for the existence of a unique ergodic stationary distribution.

Original language	English
Pages (from-to)	87-93
Number of pages	7
Journal	Applied Mathematics Letters
Volume	59
DOIs	https://doi.org/10.1016/j.aml.2016.03.010
State	Published - 1 Sep 2016
Externally published	Yes

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Markov switching
Stationary distribution
Stochastic SISV epidemic model

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10.1016/j.aml.2016.03.010

Cite this

@article{235ab39392cf45d8891e89b80761899d,

title = "Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching",

abstract = "This paper addresses a stochastic SIS epidemic model with vaccination under regime switching. The stochastic model in this paper includes white and color noises. By constructing stochastic Lyapunov functions with regime switching, we establish sufficient conditions for the existence of a unique ergodic stationary distribution.",

keywords = "Markov switching, Stationary distribution, Stochastic SISV epidemic model",

author = "Xinhong Zhang and Daqing Jiang and Ahmed Alsaedi and Tasawar Hayat",

year = "2016",

month = sep,

day = "1",

doi = "10.1016/j.aml.2016.03.010",

language = "English",

volume = "59",

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journal = "Applied Mathematics Letters",

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TY - JOUR

T1 - Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching

AU - Zhang, Xinhong

AU - Jiang, Daqing

AU - Alsaedi, Ahmed

AU - Hayat, Tasawar

PY - 2016/9/1

Y1 - 2016/9/1

N2 - This paper addresses a stochastic SIS epidemic model with vaccination under regime switching. The stochastic model in this paper includes white and color noises. By constructing stochastic Lyapunov functions with regime switching, we establish sufficient conditions for the existence of a unique ergodic stationary distribution.

AB - This paper addresses a stochastic SIS epidemic model with vaccination under regime switching. The stochastic model in this paper includes white and color noises. By constructing stochastic Lyapunov functions with regime switching, we establish sufficient conditions for the existence of a unique ergodic stationary distribution.

KW - Markov switching

KW - Stationary distribution

KW - Stochastic SISV epidemic model

UR - https://www.scopus.com/pages/publications/84962376138

U2 - 10.1016/j.aml.2016.03.010

DO - 10.1016/j.aml.2016.03.010

M3 - Article

AN - SCOPUS:84962376138

SN - 0893-9659

VL - 59

SP - 87

EP - 93

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching

Abstract

UN SDGs

Keywords

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