More and more countries are showing a significant slowdown in the number of new COVID-19 infections due to effective governmentally instituted lockdown and social distancing measures. We have analyzed the growth behavior of the top 25 most affected countries by means of a local slope analysis and found three distinct patterns that individual countries follow depending on the strictness of the lockdown protocols: rise and fall, power law, or logistic. For countries showing power law growth we have determined the scaling exponents. For countries that showed a strong slowdown in the rate of infections we have extrapolated the expected saturation of the total number of infections and the expected final date. Three different extrapolation methods (logistic, parabolic, and cutoff power law) were used. All methods agree on the order of magnitude of saturation and end dates. Global infection rates are analyzed with the same methods. The relevance and accuracy of these extrapolations is ...

中文翻译：

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COVID-19大流行：增长方式，幂律定标和饱和度。

由于有效的政府制定的封锁措施和社会隔离措施，越来越多的国家显示出新的COVID-19感染数量显着下降。我们通过局部斜率分析对影响最大的25个国家的增长行为进行了分析，发现各国根据锁定协议的严格程度遵循三种不同的模式：上升和下降，幂律或后勤。对于显示出幂律增长的国家，我们已经确定了比例指数。对于感染率大幅下降的国家，我们推断出感染总数的预期饱和度和预期的最终日期。使用了三种不同的外推方法（逻辑，抛物线和截止幂定律）。所有方法都在饱和度和结束日期的数量级上达成一致。使用相同的方法分析总体感染率。这些推断的相关性和准确性是...