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The Behavior of an SVIR Epidemic Model with Stochastic Perturbation
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We discuss a stochastic SIR epidemic model with vaccination.
We investigate the asymptotic behavior according to the perturbation and the reproduction number R 0 .
We deduce the globally asymptotic stability of the disease-free equilibrium when R 0 ≤ 1 and the perturbation is small, which means that the disease will die out.
When R 0 > 1 , we derive that the disease will prevail, which is measured through the difference between the solution and the endemic equilibrium of the deterministic model in time average.
The key to our analysis is choosing appropriate Lyapunov functions.
American Psychological Association (APA)
Zhao, Yanan& Jiang, Daqing. 2014. The Behavior of an SVIR Epidemic Model with Stochastic Perturbation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014705
Modern Language Association (MLA)
Zhao, Yanan& Jiang, Daqing. The Behavior of an SVIR Epidemic Model with Stochastic Perturbation. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1014705
American Medical Association (AMA)
Zhao, Yanan& Jiang, Daqing. The Behavior of an SVIR Epidemic Model with Stochastic Perturbation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014705
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014705