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2012 Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation
Xiaoming Fan, Zhigang Wang, Xuelian Xu
Abstr. Appl. Anal. 2012: 1-12 (2012). DOI: 10.1155/2012/132095

Abstract

We discuss a two-group SEIR epidemic model with distributed delays, incorporating random fluctuation around the endemic equilibrium. Our research shows that the endemic equilibrium of the model with distributed delays and random perturbation is stochastically asymptotically stable in the large. In addition, a sufficient stability condition is obtained by constructing suitable Lyapunov function.

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Xiaoming Fan. Zhigang Wang. Xuelian Xu. "Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation." Abstr. Appl. Anal. 2012 1 - 12, 2012. https://doi.org/10.1155/2012/132095

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1235.93186
MathSciNet: MR2898038
Digital Object Identifier: 10.1155/2012/132095

Rights: Copyright © 2012 Hindawi

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