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arXiv 2008.07929math.HOq-bio.PE
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2019冠状病毒病的动力学和控制:两位数学家的评论

Dynamics and Control of Covid-19: Comments by Two Mathematicians

Bernhelm Booss-Bavnbek, Klaus Krickeberg

摘要:

我们要求:为什么数学家最感兴趣的是COVID-19的动力学和控制,为什么迫切需要数学家来控制这一流行病?首先,我们以自下而上的方式提出我们的意见,即,从一开始就跟踪事件的发展它们在不同的国家发生的情况不同,第一部分的主要目的是比较几个选定国家的这些演变。文章的第二部分不是“国别导向”,而是“问题导向”。从一个给定的问题,我们去自上而下的解决方案和它们在具体情况下的应用。我们已经组织了这一部分的数学方法,发挥了作用,在他们的解决方案。我们给出了一个概述的主要分支的数学发挥作用,并勾勒出最常见的应用,强调数学模式分析在实验室工作和统计-数学模型在判断测试的质量;人口统计学方法在收集数据;不同的方式来模拟流行病的演变数学;和临床流行病学在试图开发疫苗。

英文摘要:

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.

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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