Extending the SIR epidemic model
Extending the SIR epidemic model
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DOI：
10.1016/j.physa.2003.12.035
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发表时间：
2004-05-15
影响因子：
3.3
通讯作者：
Carstea, AS
中科院分区：
文献类型：
--
作者：
Satsuma, J;Willox, R;Carstea, AS
我们研究了易感-感染-消除（SIR）流行病模型的可能扩展。我们发现，存在着一个大类的功能之间的相互作用的易感和感染的人口模型具有现实的行为，并保留了经典的SIR模型的基本特征。我们还提出了一个新的离散化的SIR模型具有的优点，拥有一个保守的数量，从而使可能的估计未感染的人口在年底的流行病。在离散时间系统的基础上构造了一个元胞自动机SIR。(C)2003 Elsevier B. V.保留所有权利。
We investigate possible extensions of the susceptible-infective-removed (SIR) epidemic model. We show that there exists a large class of functions representing interaction between the susceptible and infective populations for which the model has a realistic behaviour and preserves the essential features of the classical SIR model. We also present a new discretisation of the SIR model which has the advantage of possessing a conserved quantity, thus making possible the estimation of the non-infected population at the end of the epidemic. A cellular automaton SIR is also constructed on the basis of the discrete-time system. (C) 2003 Elsevier B.V. All rights reserved.