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arXiv 2005.09556physics.soc-ph
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一个城市的流行病和封锁的复制矩阵

Reproduction matrix for an epidemic and lockdowns in a city

Vicente Acuña, María Paz Cortés, Andrew Hart, Servet Martínez, Juan Carlos Maureira

摘要:

我们考虑一种传染病传播在一个城市中的传播,该城市在地理上被划分为不同的区。我们引入了地区间的繁殖矩阵$\R=\bigl(R(i,j)\bigr)$,其中$R(i,j)$是地区$i$中个体感染$j$的平均个体数。我们分析政策的部分封锁的城市,即一组地区,基于矩阵$\R$的研究,其中行和列对应的地区锁定设置为零。这一模式也可适用于划分为区域或其他适当单位的国家,但须具备相关资料。最后,我们分析了一个矩阵~ $\R$,该矩阵是为智利圣地亚哥的COVID-19传播而构建的,并借助基于代理的模拟器生成替代地区数据。

英文摘要:

We consider an epidemic spreading in a city which is divided geographically into different districts. We introduce the reproduction matrix $\R=\bigl(R(i,j)\bigr)$ between districts, where $R(i,j)$ is the mean number of individuals in district $j$ infected by an individual from district $i$. We analyse policies of partial lockdowns of the city, that is of a set of districts, based on the study of matrix $\R$, where rows and columns corresponding to districts in lockdown are set to zero. This schema can also be applied to a country divided into regions or other appropriate units, provided the relevant information is available. We conclude by analyzing a matrix~$\R$ which was constructed for the spread of COVID-19 in Santiago, Chile, with the aid of an agent-based simulator for generating surrogate district data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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