The threshold of a stochastic delayed SIR epidemic model with temporary immunity
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- 作者：Qun Liua ; b ; Qingmei Chena ; b ; Daqing Jiangc ; daqingjiang2010@hotmail.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Stochastic SIR epidemic model ; Temporal delay ; Persistence ; Extinction ; Threshold
- 刊名：Physica A: Statistical Mechanics and its Applications
- 出版年：2016
- 出版时间：15 May 2016
- 年：2016
- 卷：450
- 期：Complete
- 页码：115-125
- 全文大小：375 K
文摘
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A stochastic delayed SIR epidemic model with temporary immunity is proposed and studied.
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Sufficient conditions for extinction and persistence in the mean are established.
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The threshold between persistence in the mean and extinction is obtained.
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The threshold is smaller than the basic reproduction number of the deterministic system.