What can we learn from the dynamics of the Covid-19 epidemic ?
What can we learn from the dynamics of the Covid-19 epidemic ?
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我们可以从 Covid-19 疫情的动态中学到什么？
作者：
M. Peyrard
我们研究了 Covid-19 流行病准周期性爆发背后的机制。法国和德国的数据显示，爆发模式在 2022 年初呈现出质的变化，这表现为平均周期的变化，并且时频分析证实了这一点。这提供了可用于区分多种机制的信号。人们提出了两个主要观点来解释流行病的周期性。一个涉及记忆效应，另一个考虑流行病群和人群之间的交换。我们在 Covid-19 流行病的特定案例中测试了这两种方法，并表明“集群模型”是唯一能够用实际参数解释观察到的模式的模型。最后一节讨论了我们在流行病早期研究背景下的结果，我们强调使用参数数量有限的模型的重要性，而且可以充分地估计这些模型，以得出关于观察结果背后的一般机制的结论。
We investigate the mechanisms behind quasi-periodic outbursts on the Covid-19 epidemics. Data for France and Germany show that the patterns of outbursts exhibit a qualitative change in early 2022, which appears in a change in their average period and which is confirmed by the time-frequency analysis. This provides a signal that can be used to discriminate among several mechanisms. Two main ideas have been proposed to explain periodicity in epidemics. One involves memory effects and another considers exchanges between epidemic clusters and a reservoir of population. We test these two approaches in the particular case of the Covid-19 epidemics and show that the "cluster model" is the only one that appears to be able to explain the observed pattern with realistic parameters. The last section discusses our results in the context of early studies of epidemics, and we stress the importance to work with models with a limited number of parameters, which moreover can be sufficiently well estimated, to draw conclusions on the general mechanisms behind the observations.