Dynamics of hybrid switching DS-I-A epidemic model

Songnan Liu; Daqing Jiang; Xiaojie Xu; Tasawar Hayat; Bashir Ahmad

doi:10.1038/s41598-017-11901-x

Dynamics of hybrid switching DS-I-A epidemic model

Songnan Liu
, Daqing Jiang
, Xiaojie Xu
, Tasawar Hayat
, Bashir Ahmad

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

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

2 Scopus citations

Abstract

In this paper, we investigate a stochastic hybrid switching DS-I-A epidemic model. The extinction and the prevalence of the disease are discussed, and so, the threshold is given. Furthermore, the sufficient conditions for the existence of positive recurrence of the solutions are established by stochastic Lyapunov functions. At last, some examples and simulations are provided to illustrate our results.

Original language	English
Article number	12332
Journal	Scientific Reports
Volume	7
Issue number	1
DOIs	https://doi.org/10.1038/s41598-017-11901-x
State	Published - 1 Dec 2017
Externally published	Yes

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

SDG 3 Good Health and Well-being

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Cite this

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title = "Dynamics of hybrid switching DS-I-A epidemic model",

abstract = "In this paper, we investigate a stochastic hybrid switching DS-I-A epidemic model. The extinction and the prevalence of the disease are discussed, and so, the threshold is given. Furthermore, the sufficient conditions for the existence of positive recurrence of the solutions are established by stochastic Lyapunov functions. At last, some examples and simulations are provided to illustrate our results.",

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AU - Hayat, Tasawar

AU - Ahmad, Bashir

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AB - In this paper, we investigate a stochastic hybrid switching DS-I-A epidemic model. The extinction and the prevalence of the disease are discussed, and so, the threshold is given. Furthermore, the sufficient conditions for the existence of positive recurrence of the solutions are established by stochastic Lyapunov functions. At last, some examples and simulations are provided to illustrate our results.

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Dynamics of hybrid switching DS-I-A epidemic model

Abstract

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