The threshold of a stochastic delayed SIR epidemic model with vaccination
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- 作者：Qun Liua ; Daqing Jiangb ; c ; daqingjiang2010@hotmail.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Stochastic SIR epidemic model ; Time delay ; Vaccination ; Persistence in the mean ; Extinction ; Threshold
- 刊名：Physica A: Statistical Mechanics and its Applications
- 出版年：2016
- 出版时间：1 November 2016
- 年：2016
- 卷：461
- 期：Complete
- 页码：140-147
- 全文大小：387 K
文摘
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A stochastic delayed SIR epidemic model with vaccination is studied.
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We obtain sufficient conditions for extinction and persistence in the mean of the epidemic.
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The threshold between persistence and extinction of the stochastic system is obtained.
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Results show that time delay has important effects on the persistence and extinction of the epidemic.