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arXiv 2005.04937q-bio.PEphysics.soc-ph
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利用统计学和数学模型了解传染病暴发:以COVID-19为例

Using statistics and mathematical modelling to understand infectious disease outbreaks: COVID-19 as an example

Christopher E. Overton, Helena B. Stage, Shazaad Ahmad, Jacob Curran-Sebastian, Paul Dark, Rajenki Das, Elizabeth Fearon, Timothy Felton, Martyn Fyles, Nick Gen… 展开作者

Christopher E. Overton, Helena B. Stage, Shazaad Ahmad, Jacob Curran-Sebastian, Paul Dark, Rajenki Das, Elizabeth Fearon, Timothy Felton, Martyn Fyles, Nick Gent, Ian Hall, Thomas House, Hugo Lewkowicz, Xiaoxi Pang, Lorenzo Pellis, Robert Sawko, Andrew Ustianowski, Bindu Vekaria, Luke Webb

摘要:

在传染病暴发期间,数据的偏差和潜在动态的复杂性对暴发的数学建模和政策设计构成了重大挑战。受持续应对COVID-19的激励,我们提供了一套统计和数学模型工具包,超越了简单的SIR型微分方程模型,用于分析疫情的早期阶段和评估干预措施。特别是,我们专注于参数估计的数据中存在已知的偏见,和封闭的亚群,如家庭和护理院的非药物干预的效果。我们通过将这些方法应用于COVID-19大流行来说明这些方法。

英文摘要:

During an infectious disease outbreak, biases in the data and complexities of the underlying dynamics pose significant challenges in mathematically modelling the outbreak and designing policy. Motivated by the ongoing response to COVID-19, we provide a toolkit of statistical and mathematical models beyond the simple SIR-type differential equation models for analysing the early stages of an outbreak and assessing interventions. In particular, we focus on parameter estimation in the presence of known biases in the data, and the effect of non-pharmaceutical interventions in enclosed subpopulations, such as households and care homes. We illustrate these methods by applying them to the COVID-19 pandemic.

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