论文标题
COVID-19的动力和控制：两位数学家的评论
Dynamics and Control of Covid-19: Comments by Two Mathematicians
论文作者
论文摘要
我们问：为什么Covid-19的动力和控制对于数学家来说最有趣，为什么数学家急需控制大流行？ 首先，我们以自下而上的方法来介绍我们的评论，即，随着时间的流逝，它们从一开始就开始了。它们在不同的国家发生了不同的情况，第一部分的主要目的是将这些演变在少数选定的国家中进行比较。 本文的第二部分不是“面向国家”，而是“面向问题的”。从给定的问题开始，我们可以自上而下，到其解决方案及其在具体情况下的应用。我们已经通过在其解决方案中发挥作用的数学方法来组织这一部分。我们概述了数学的主要分支，这些分支在判断测试质量方面，强调了实验室工作和统计数学模型中的数学模式分析，并强调了数学模式分析；数据收集中的人口统计学方法；不同的方式来模拟大流行数学的演变；和临床流行病学试图开发疫苗。
We are asking: why are the dynamics and control of Covid-19 most interesting for mathematicians and why are mathematicians urgently needed for controlling the pandemic? First we present our comments in a Bottom-up approach, i.e., following the events from their beginning as they evolved through time. They happened differently in different countries, and the main objective of the first part is to compare these evolutions in a few selected countries with each other. The second part of the article is not "country-oriented" but "problem-oriented". From a given problem we go Top-down to its solutions and their applications in concrete situations. We have organized this part by the mathematical methods that play a role in their solution. We give an overview of the main branches of mathematics that play a role and sketch the most frequent applications, emphasising mathematical pattern analysis in laboratory work and statistical-mathematical models in judging the quality of tests; demographic methods in the collection of data; different ways to model the evolution of the pandemic mathematically; and clinical epidemiology in attempts to develop a vaccine.
