Dynamics of a Stochastic Multigroup SEIR Epidemic Model

Xiaojing Zhong and Feiqi Deng

Journal of Applied Mathematics, 2014, vol. 2014, 1-9

Abstract:

To be more precise about the real world activity, a stochastic multigroup SEIR epidemic model is formulated. we define the basic reproduction number and show that it is a sharp threshold for the dynamics of SDE model. If , the disease-free equilibrium is asymptotically stable; and if , the disease persists and there exists a globally asymptotically stable stationary distribution. Numerical simulation examples are carried out to substantiate the analytical results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:258915

DOI: 10.1155/2014/258915

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