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2014 Dynamics of a Stochastic Multigroup SEIR Epidemic Model
Xiaojing Zhong, Feiqi Deng
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/258915

Abstract

To be more precise about the real world activity, a stochastic multigroup SEIR epidemic model is formulated. we define the basic reproduction number R0S and show that it is a sharp threshold for the dynamics of SDE model. If R0S<1, the disease-free equilibrium is asymptotically stable; and if R0S>1, the disease persists and there exists a globally asymptotically stable stationary distribution. Numerical simulation examples are carried out to substantiate the analytical results.

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Xiaojing Zhong. Feiqi Deng. "Dynamics of a Stochastic Multigroup SEIR Epidemic Model." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/258915

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131453
MathSciNet: MR3246408
Digital Object Identifier: 10.1155/2014/258915

Rights: Copyright © 2014 Hindawi

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