Analysis and forecast of COVID-19 spreading in China, Italy and France

In this note we analyze the temporal dynamics of the coronavirus disease 2019 outbreak in China, Italy and France in the time window $22\mathrm{/}01-09\mathrm{/}03\mathrm{/}2020$. A first analysis of simple day-lag maps points to some universality in the epidemic spreading, suggesting that simple mean-field models can be meaningfully used to gather a quantitative picture of the epidemic spreading, and notably the height and time of the peak of confirmed infected individuals. The analysis of the same data within a simple susceptible-(confirmed) infected-recovered-deaths model indicates that the kinetic parameter that describes the rate of recovery seems to be the same, irrespective of the country, while the infection and death rates appear to be more variable. The model places the peak in Italy around March 20${}^{\mathrm{t}\mathrm{h}}$ 2020, with a maximum number of confirmed infected individuals of about 16,000.