论文标题

数字接触跟踪流行病的模型

Models for digitally contact-traced epidemics

论文作者

Boldrini, Chiara, Passarella, Andrea, Conti, Marco

论文摘要

人们之间的接触是传染性呼吸道感染的绝对驱动因素。因此,限制和跟踪接触是控制Covid-19的流行病的关键策略。已经提出了数字接触跟踪作为自动解决方案,以扩展传统的接触跟踪。但是,在研究社区中,目前正在讨论接触式追踪应用程序在人群中实现所需目标的所需目标。为了了解数字接触跟踪的影响,已经提出了几种数学模型。在本文中,我们调查了主要的模型,并提出了一种与相关文献中的模型不同的隔室SEIR模型,以获取有关控制流行病的封闭形式条件,这是接触式搜索应用程序渗透和测试效率的函数。封闭形式的条件对于模型的可理解性至关重要,因此对于决策者(包括数字接触示踪设计师),可以正确评估流行病中的依赖性。借助我们的模型,我们发现仅数字接触跟踪很少会驯服流行病:对于不受约束的Covid-19,这将需要大约1天的测试周转,并且应用程序吸收超过80%的人口,这在实践中很难实现。但是,如果与其他缓解策略相辅相成,例如社交距离和戴面具,则数字接触跟踪仍然可以有效。

Contacts between people are the absolute drivers of contagious respiratory infections. For this reason, limiting and tracking contacts is a key strategy for the control of the COVID-19 epidemic. Digital contact tracing has been proposed as an automated solution to scale up traditional contact tracing. However, the required penetration of contact tracing apps within a population to achieve a desired target in the control of the epidemic is currently under discussion within the research community. In order to understand the effects of digital contact tracing, several mathematical models have been proposed. In this article, we survey the main ones and we propose a compartmental SEIR model with which it is possible, differently from the models in the related literature, to derive closed-form conditions regarding the control of the epidemic as a function of the contact tracing apps penetration and the testing efficiency. Closed-form conditions are crucial for the understandability of models, and thus for decision makers (including digital contact tracing designers) to correctly assess the dependencies within the epidemic. With our model, we find that digital contact tracing alone can rarely tame an epidemic: for unrestrained COVID-19, this would require a testing turnaround of around 1 day and app uptake above 80% of the population, which are very difficult to achieve in practice. However, digital contact tracing can still be effective if complemented with other mitigation strategies, such as social distancing and mask-wearing.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源