Quarantine, Contact Tracing, and Testing: Implications of an Augmented SEIR Model

Andreas Hornstein
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Abstract

Abstract I incorporate quarantine, contact tracing, and random testing in the basic SEIR model of infectious disease diffusion. A version of the model that is calibrated to known characteristics of the spread of COVID-19 is used to estimate the transmission rate of COVID-19 in the United States in 2020. The transmission rate is then decomposed into a part that reflects observable changes in employment and social contacts, and a residual component that reflects disease properties and all other factors that affect the spread of the disease. I then construct counterfactuals for an alternative employment path that avoids the sharp employment decline in the second quarter of 2020, but also results in higher cumulative deaths due to a higher contact rate. For the simulations a modest permanent increase of quarantine effectiveness counteracts the increase in deaths, and the introduction of contact tracing and random testing further reduces deaths, although at a diminishing rate. Using a conservative assumption on the statistical value of life, the value of improved health outcomes from the alternative policies far outweighs the economic gains in terms of increased output and the potential fiscal costs of these policies.
隔离、接触者追踪和测试:增强SEIR模型的含义
将检疫、接触者追踪和随机检测纳入传染病扩散的基本SEIR模型。该模型的一个版本根据COVID-19传播的已知特征进行了校准,用于估计2020年COVID-19在美国的传播率。然后将传播率分解为反映就业和社会接触方面可观察到的变化的部分,以及反映疾病特性和影响疾病传播的所有其他因素的剩余部分。然后,我构建了另一种就业路径的反事实,该路径可以避免2020年第二季度就业急剧下降,但也会由于更高的接触率而导致更高的累积死亡人数。在模拟中,检疫有效性的适度永久提高抵消了死亡人数的增加,接触者追踪和随机检测的引入进一步减少了死亡人数,尽管速度在下降。使用对生命统计价值的保守假设,就增加产出和这些政策的潜在财政成本而言,替代政策改善健康结果的价值远远超过经济收益。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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