arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.02715q-bio.PEphysics.soc-phq-bio.QM
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对当前COVID-19大流行动态的通用一般性描述

A universal generic description of the dynamics of the current COVID-19 pandemic

Heinrich Stolz, Dirk Semkat, Peter Grünwald

摘要:

持续的COVID-19大流行正在挑战社会的每一个部分。从科学的角度来看,第一项主要任务是预测大流行病的动态,使政府能够分配适当的资源和措施来对抗它,并通过与事后预测的比较来衡量这些措施的成功。绝大多数流行病模型是基于具有大量拟合参数的广泛模型,导致对世界上每个热点的单独描述。这使得预测和比较变得繁琐,甚至不可能。在这里,我们提出了一种不同的方法,通过远离随时间变化的描述,而是选择封闭区域内的感染者总数作为自变量。分析了几个热点数据,我们得出了一个经验公式的动态,只依赖于三个变量。感染的最终数量与一个我们称为缓解因子的拟合参数严格相关,而缓解因子主要依赖于封闭的群体。尽管这一描述很简单,但它适用于我们分析的大约50个国家中的每一个国家,可以区分不同的大流行浪潮,为政府措施的总体有效性提供一个价值指标,并显示大流行何时结束。我们的模型对未发现的病例非常强大,并允许所有国家,特别是资源较少的国家,合理预测其国家的流行病结果。

英文摘要:

The ongoing COVID-19 pandemic is challenging every part of society. From a scientific point of view the first major task is to predict the dynamics of the pandemic, allowing governments to allocate proper resources and measures to fight it, as well as gauging the success of these measures by comparison with the predictions in hindsight. The vast majority of pandemic models are based on extensive models with large numbers of fit parameters, leading to individual descriptions for every hot spot on the world. This makes predictions and comparisons cumbersome, if not impossible. We here propose a different approach, by moving away from a description over time, and instead choosing the total number of infected people in an enclosed area as the independent variable. Analyzing a few hot spots data, we derive an empirical formula for the dynamics, dependent only on three variables. The final number of infections is strictly connected to one fit parameter we call mitigation factor, which in turn is mostly dependent only on the enclosed population. Despite its simpleness, this description applies to every of the around 50 countries we have analyzed, allows to separate different waves of the pandemic, provides a figure of merit for the overall usefulness of government measures, and shows when a pandemic is ending. Our model is robust against undetected cases, and allows all nations, in particular those with fewer resources, to reasonably predict the outcome of the pandemic in their country.

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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