Dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases driven by Lévy jumps

Qun Liu; Daqing Jiang; Ningzhong Shi; Tasawar Hayat

doi:10.1016/j.physa.2017.11.116

Dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases driven by Lévy jumps

Qun Liu
, Daqing Jiang
, Ningzhong Shi
, Tasawar Hayat

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

53 Scopus citations

Abstract

In this paper, we study the dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases which make the research more complex. The environment variability in this paper is characterized by white noise and Lévy noise. We establish sufficient conditions for extinction and persistence in the mean of the two epidemic diseases. It is shown that: (i) time delay and Lévy noise have important effects on the persistence and extinction of epidemic diseases; (ii) two diseases can coexist under certain conditions.

Original language	English
Pages (from-to)	2010-2018
Number of pages	9
Journal	Physica A: Statistical Mechanics and its Applications
Volume	492
DOIs	https://doi.org/10.1016/j.physa.2017.11.116
State	Published - 15 Feb 2018
Externally published	Yes

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Double epidemic hypothesis
Extinction
Persistence in the mean
Stochastic SIR epidemic model
Time delay
Vaccination

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10.1016/j.physa.2017.11.116

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title = "Dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases driven by L{\'e}vy jumps",

abstract = "In this paper, we study the dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases which make the research more complex. The environment variability in this paper is characterized by white noise and L{\'e}vy noise. We establish sufficient conditions for extinction and persistence in the mean of the two epidemic diseases. It is shown that: (i) time delay and L{\'e}vy noise have important effects on the persistence and extinction of epidemic diseases; (ii) two diseases can coexist under certain conditions.",

keywords = "Double epidemic hypothesis, Extinction, Persistence in the mean, Stochastic SIR epidemic model, Time delay, Vaccination",

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AU - Liu, Qun

AU - Jiang, Daqing

AU - Shi, Ningzhong

AU - Hayat, Tasawar

PY - 2018/2/15

Y1 - 2018/2/15

N2 - In this paper, we study the dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases which make the research more complex. The environment variability in this paper is characterized by white noise and Lévy noise. We establish sufficient conditions for extinction and persistence in the mean of the two epidemic diseases. It is shown that: (i) time delay and Lévy noise have important effects on the persistence and extinction of epidemic diseases; (ii) two diseases can coexist under certain conditions.

AB - In this paper, we study the dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases which make the research more complex. The environment variability in this paper is characterized by white noise and Lévy noise. We establish sufficient conditions for extinction and persistence in the mean of the two epidemic diseases. It is shown that: (i) time delay and Lévy noise have important effects on the persistence and extinction of epidemic diseases; (ii) two diseases can coexist under certain conditions.

KW - Double epidemic hypothesis

KW - Extinction

KW - Persistence in the mean

KW - Stochastic SIR epidemic model

KW - Time delay

KW - Vaccination

UR - https://www.scopus.com/pages/publications/85036521428

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VL - 492

SP - 2010

EP - 2018

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

Dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases driven by Lévy jumps

Abstract

UN SDGs

Keywords

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