The evolution of the COVID-19 disease is monitored on the basis of the daily number of infected patients and the daily number of deaths provided from national health agencies. The variation of such parameters with time parallels that described for the growth/decay of historic transportation systems revealing the appearance of discontinuities. The evolution of the pandemic disease is represented in terms of two nominally equivalent formulations: a logistic model with sharp changes in its rate parameters, and in topological terms resulting in 2nd order phase transitions in the infected patients/time space.

中文翻译：

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COVID-19 的演变：一种不连续的方法

根据国家卫生机构提供的每日感染患者人数和每日死亡人数来监测 COVID-19 疾病的演变。这些参数随时间的变化描述了历史交通系统的增长/衰退，揭示了不连续性的出现。大流行性疾病的演变用两个名义上等效的公式表示：速率参数急剧变化的逻辑模型，以及导致受感染患者/时间空间中的二阶相变的拓扑术语。