The extinction and persistence of the stochastic SIS epidemic model with vaccination

Yanan Zhao; Daqing Jiang; Donal O'Regan

doi:10.1016/j.physa.2013.06.009

The extinction and persistence of the stochastic SIS epidemic model with vaccination

Yanan Zhao
, Daqing Jiang
, Donal O'Regan

Mathematics

Northeast Normal University
Changchun University

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

154 Citations (Scopus)

Abstract

In this paper, we discuss the dynamics of a stochastic SIS epidemic model with vaccination. When the noise is large, the infective decays exponentially to zero regardless of the magnitude of R₀. When the noise is small, sufficient conditions for extinction exponentially and persistence in the mean are established. The results are illustrated by computer simulations.

Original language	English
Pages (from-to)	4916-4927
Number of pages	12
Journal	Physica A: Statistical Mechanics and its Applications
Volume	392
Issue number	20
DOIs	https://doi.org/10.1016/j.physa.2013.06.009
Publication status	Published - 15 Oct 2013

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Extinction
Persistence
Stochastic SIS epidemic model
Threshold
Vaccination

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10.1016/j.physa.2013.06.009

Cite this

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abstract = "In this paper, we discuss the dynamics of a stochastic SIS epidemic model with vaccination. When the noise is large, the infective decays exponentially to zero regardless of the magnitude of R0. When the noise is small, sufficient conditions for extinction exponentially and persistence in the mean are established. The results are illustrated by computer simulations.",

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AU - Jiang, Daqing

AU - O'Regan, Donal

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N2 - In this paper, we discuss the dynamics of a stochastic SIS epidemic model with vaccination. When the noise is large, the infective decays exponentially to zero regardless of the magnitude of R0. When the noise is small, sufficient conditions for extinction exponentially and persistence in the mean are established. The results are illustrated by computer simulations.

AB - In this paper, we discuss the dynamics of a stochastic SIS epidemic model with vaccination. When the noise is large, the infective decays exponentially to zero regardless of the magnitude of R0. When the noise is small, sufficient conditions for extinction exponentially and persistence in the mean are established. The results are illustrated by computer simulations.

KW - Extinction

KW - Persistence

KW - Stochastic SIS epidemic model

KW - Threshold

KW - Vaccination

UR - https://www.scopus.com/pages/publications/84883134834

U2 - 10.1016/j.physa.2013.06.009

DO - 10.1016/j.physa.2013.06.009

M3 - Article

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 20

ER -

The extinction and persistence of the stochastic SIS epidemic model with vaccination

Abstract

UN SDGs

Keywords

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