Dynamics of a multigroup SIR epidemic model with stochastic perturbation
Dynamics of a multigroup SIR epidemic model with stochastic perturbation
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具有随机扰动的多组 SIR 流行病模型的动力学
DOI：
10.1016/j.automatica.2011.09.044
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发表时间：
2012-01-01
期刊：
影响因子：
6.4
通讯作者：
Shi, Ningzhong
中科院分区：
文献类型：
--
作者：
Ji, Chunyan;Jiang, Daqing;Shi, Ningzhong
在本文中，我们将随机性引入到多组SIR(易感、感染和恢复)模型中。模型中的随机性是通过参数摄动来引入的，这是随机总体建模中的一种标准技术。在确定性模型中，基本繁殖数R-0是一个完全决定疾病存续或灭绝的阈值。我们对随机模型的渐近行为以及R-0的取值进行了详细的分析。如果R-0为1，则存在平稳分布，这意味着疾病将会流行。(C)2011爱思唯尔有限公司。保留所有权利。
In this paper, we introduce stochasticity into a multigroup SIR (susceptible, infective, and recovered) model. The stochasticity in the model is introduced by parameter perturbation, which is a standard technique in stochastic population modeling. In the deterministic models, the basic reproduction number R-0 is a threshold which completely determines the persistence or extinction of the disease. We carry out a detailed analysis on the asymptotic behavior of the stochastic model, also regarding of the value of R-0. If R-0 1, there is a stationary distribution, which means that the disease will prevail. (C) 2011 Elsevier Ltd. All rights reserved.