Dynamics of a multigroup SIQS epidemic model under regime switching

Qun Liu; Daqing Jiang; Tasawar Hayat; Ahmed Alsaedi; Bashir Ahmad

doi:10.1080/07362994.2020.1722167

Dynamics of a multigroup SIQS epidemic model under regime switching

Qun Liu
, Daqing Jiang
, Tasawar Hayat
, Ahmed Alsaedi
, Bashir Ahmad

Northeast Normal University
China University of Petroleum (East China)
King Abdulaziz University

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

11 Scopus citations

Abstract

In this paper, we study the dynamical behavior of a multigroup SIQS epidemic model, which is formulated as a piecewise deterministic Markov process. Sufficient conditions for extinction and persistence in the mean of the diseases are obtained. In addition, in the case of diseases persistence, we establish sufficient conditions for the existence of positive recurrence of the solutions to the model by using the stochastic Lyapunov function with regime switching.

Original language	English
Pages (from-to)	769-796
Number of pages	28
Journal	Stochastic Analysis and Applications
Volume	38
Issue number	5
DOIs	https://doi.org/10.1080/07362994.2020.1722167
State	Published - 2 Sep 2020
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
Markovian switching
Multigroup SIQS epidemic model
Persistence in the mean
Positive recurrence

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10.1080/07362994.2020.1722167

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abstract = "In this paper, we study the dynamical behavior of a multigroup SIQS epidemic model, which is formulated as a piecewise deterministic Markov process. Sufficient conditions for extinction and persistence in the mean of the diseases are obtained. In addition, in the case of diseases persistence, we establish sufficient conditions for the existence of positive recurrence of the solutions to the model by using the stochastic Lyapunov function with regime switching.",

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author = "Qun Liu and Daqing Jiang and Tasawar Hayat and Ahmed Alsaedi and Bashir Ahmad",

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AU - Liu, Qun

AU - Jiang, Daqing

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

AU - Ahmad, Bashir

PY - 2020/9/2

Y1 - 2020/9/2

N2 - In this paper, we study the dynamical behavior of a multigroup SIQS epidemic model, which is formulated as a piecewise deterministic Markov process. Sufficient conditions for extinction and persistence in the mean of the diseases are obtained. In addition, in the case of diseases persistence, we establish sufficient conditions for the existence of positive recurrence of the solutions to the model by using the stochastic Lyapunov function with regime switching.

AB - In this paper, we study the dynamical behavior of a multigroup SIQS epidemic model, which is formulated as a piecewise deterministic Markov process. Sufficient conditions for extinction and persistence in the mean of the diseases are obtained. In addition, in the case of diseases persistence, we establish sufficient conditions for the existence of positive recurrence of the solutions to the model by using the stochastic Lyapunov function with regime switching.

KW - Extinction

KW - Markovian switching

KW - Multigroup SIQS epidemic model

KW - Persistence in the mean

KW - Positive recurrence

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ER -

Dynamics of a multigroup SIQS epidemic model under regime switching

Abstract

UN SDGs

Keywords

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