Dynamics of an SIR epidemic model with varying population sizes and regime switching in a two patch setting

Liya Liu; Daqing Jiang; Tasawar Hayat

doi:10.1016/j.physa.2021.125992

Dynamics of an SIR epidemic model with varying population sizes and regime switching in a two patch setting

Liya Liu
, Daqing Jiang
, Tasawar Hayat

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

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

18 Scopus citations

Abstract

In this paper, we investigate an SIR epidemic model with varying population sizes and regime switching in a two patch setting. Sufficient conditions for extinction and persistence in the mean of the diseases are obtained. In addition, we establish sufficient conditions for the existence of positive recurrence of the solutions to the model in the case of persistence by constructing a suitable stochastic Lyapunov function with regime switching. Finally, numerical simulations are performed to test our theory conclusion.

Original language	English
Article number	125992
Journal	Physica A: Statistical Mechanics and its Applications
Volume	574
DOIs	https://doi.org/10.1016/j.physa.2021.125992
State	Published - 15 Jul 2021
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
Markov switching
Positive recurrence
SIR epidemic model
Varying population sizes

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10.1016/j.physa.2021.125992

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title = "Dynamics of an SIR epidemic model with varying population sizes and regime switching in a two patch setting",

abstract = "In this paper, we investigate an SIR epidemic model with varying population sizes and regime switching in a two patch setting. Sufficient conditions for extinction and persistence in the mean of the diseases are obtained. In addition, we establish sufficient conditions for the existence of positive recurrence of the solutions to the model in the case of persistence by constructing a suitable stochastic Lyapunov function with regime switching. Finally, numerical simulations are performed to test our theory conclusion.",

keywords = "Extinction, Markov switching, Positive recurrence, SIR epidemic model, Varying population sizes",

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AU - Liu, Liya

AU - Jiang, Daqing

AU - Hayat, Tasawar

PY - 2021/7/15

Y1 - 2021/7/15

N2 - In this paper, we investigate an SIR epidemic model with varying population sizes and regime switching in a two patch setting. Sufficient conditions for extinction and persistence in the mean of the diseases are obtained. In addition, we establish sufficient conditions for the existence of positive recurrence of the solutions to the model in the case of persistence by constructing a suitable stochastic Lyapunov function with regime switching. Finally, numerical simulations are performed to test our theory conclusion.

AB - In this paper, we investigate an SIR epidemic model with varying population sizes and regime switching in a two patch setting. Sufficient conditions for extinction and persistence in the mean of the diseases are obtained. In addition, we establish sufficient conditions for the existence of positive recurrence of the solutions to the model in the case of persistence by constructing a suitable stochastic Lyapunov function with regime switching. Finally, numerical simulations are performed to test our theory conclusion.

KW - Extinction

KW - Markov switching

KW - Positive recurrence

KW - SIR epidemic model

KW - Varying population sizes

UR - https://www.scopus.com/pages/publications/85104653535

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DO - 10.1016/j.physa.2021.125992

M3 - Article

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

M1 - 125992

ER -

Dynamics of an SIR epidemic model with varying population sizes and regime switching in a two patch setting

Abstract

UN SDGs

Keywords

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