论文标题
SARS-COV-2大流行事件的几何表征
Geometric characterization of SARS-CoV-2 pandemic events
论文作者
论文摘要
尽管SARS-COV-2在全球范围内不断传播,但将其在不同国家进行比较是理论和实际重要性的及时挑战。实际上,各种各样的不同和依赖国家的流行病学因素使他们难以理解它们对独特且连贯的框架内对流行病趋势的影响非常困难。我们提出了一个几何框架,以综合且低维的方式表征以感染率所追踪的流行羽流轨迹,$ i $,死亡率($ d $)在$(i,d)$ plane中。我们的分析能够基于三个几何可观测值的变体系统的定义,以类似于地震事件的幅度和强度的尺度,将SARS-COV-2大流行事件评为SARS-COV-2大流行事件。由于几何形状,我们的框架可以应用于对其他流行病数据和次要浪潮进行分类,从而提高了设计流行病警报或预警系统的可能性,以增强公众和政府对迅速出现的爆发的反应。
While the SARS-CoV-2 keeps spreading world-wide, comparing its evolution across different nations is a timely challenge of both theoretical and practical importance. The large variety of dissimilar and country-dependent epidemiological factors, in fact, makes extremely difficult to understand their influence on the epidemic trends within a unique and coherent framework. We present a geometric framework to characterize, in an integrated and low-dimensional fashion, the epidemic plume-like trajectories traced by the infection rate, $I$, and the fatality rate, $D$, in the $(I,D)$ plane. Our analysis enables the definition of an epidemiometric system based on three geometric observables rating the SARS-CoV-2 pandemic events via scales analogous to those for the magnitude and the intensity of seismic events. Being exquisitely geometric, our framework can be applied to classify other epidemic data and secondary waves, raising the possibility of designing epidemic alerts or early warning systems to enhance public and governmental responses to a rapidly emerging outbreak.