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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.

SUBMITTER: Liu S 

PROVIDER: S-EPMC5615109 | biostudies-literature | 2017 Sep

REPOSITORIES: biostudies-literature

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Dynamics of hybrid switching DS-I-A epidemic model.

Liu Songnan S   Jiang Daqing D   Xu Xiaojie X   Hayat Tasawar T   Ahmad Bashir B  

Scientific reports 20170926 1


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. ...[more]

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