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Dynamics of hybrid switching DS-I-A epidemic model
Journal article   Open access  Peer reviewed

Dynamics of hybrid switching DS-I-A epidemic model

Songnan Liu, Daqing Jiang, Xiaojie Xu, Tasawar Hayat and Bashir Ahmad
Scientific reports, Vol.7(1), pp.12332-16
26/09/2017
DOI: https://doi.org/10.1038/s41598-017-11901-x
PMCID: PMC5615109
PMID: 28951546

Abstract

Acquired Immunodeficiency Syndrome - epidemiology Computer Simulation Epidemics Humans Markov Chains Models, Biological Nonlinear Dynamics Prevalence
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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https://doi.org/10.1038/s41598-017-11901-xView
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