Threshold behavior in a stochastic delayed SIS epidemic model with vaccination and double diseases

Qun Liu; Daqing Jiang; Tasawar Hayat; Ahmed Alsaedi

doi:10.1016/j.jfranklin.2018.11.055

Threshold behavior in a stochastic delayed SIS epidemic model with vaccination and double diseases

Qun Liu
, Daqing Jiang
, Tasawar Hayat
, Ahmed Alsaedi

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

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

30 Scopus citations

Abstract

In this paper, we investigate the threshold dynamics of a stochastic delayed SIS epidemic model with vaccination and double diseases which make the research more difficult. We establish sufficient conditions for extinction and persistence in the mean of the two diseases. We also obtain the threshold between persistence in the mean and extinction of the stochastic system. It is shown that: (i) time delay and environmental white noise have important effects on the persistence and extinction of the two diseases; (ii) the two diseases can coexist under certain conditions. Finally, some numerical simulations are provided to demonstrate the analytical results.

Original language	English
Pages (from-to)	7466-7485
Number of pages	20
Journal	Journal of the Franklin Institute
Volume	356
Issue number	13
DOIs	https://doi.org/10.1016/j.jfranklin.2018.11.055
State	Published - Sep 2019
Externally published	Yes

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SDG 3 Good Health and Well-being

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10.1016/j.jfranklin.2018.11.055

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title = "Threshold behavior in a stochastic delayed SIS epidemic model with vaccination and double diseases",

abstract = "In this paper, we investigate the threshold dynamics of a stochastic delayed SIS epidemic model with vaccination and double diseases which make the research more difficult. We establish sufficient conditions for extinction and persistence in the mean of the two diseases. We also obtain the threshold between persistence in the mean and extinction of the stochastic system. It is shown that: (i) time delay and environmental white noise have important effects on the persistence and extinction of the two diseases; (ii) the two diseases can coexist under certain conditions. Finally, some numerical simulations are provided to demonstrate the analytical results.",

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AU - Liu, Qun

AU - Jiang, Daqing

AU - Hayat, Tasawar

AU - Alsaedi, Ahmed

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AB - In this paper, we investigate the threshold dynamics of a stochastic delayed SIS epidemic model with vaccination and double diseases which make the research more difficult. We establish sufficient conditions for extinction and persistence in the mean of the two diseases. We also obtain the threshold between persistence in the mean and extinction of the stochastic system. It is shown that: (i) time delay and environmental white noise have important effects on the persistence and extinction of the two diseases; (ii) the two diseases can coexist under certain conditions. Finally, some numerical simulations are provided to demonstrate the analytical results.

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ER -

Threshold behavior in a stochastic delayed SIS epidemic model with vaccination and double diseases

Abstract

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