  To evaluate the effectiveness of the containment on the epidemic spreading of
the new Coronavirus disease 2019, we carry on an analysis of the time evolution
of the infection in a selected number of different Countries, by considering
well-known macroscopic growth laws, the Gompertz law, and the logistic law. We
also propose here a generalization of Gompertz law. Our data analysis permits
an evaluation of the maximum number of infected individuals. The daily data
must be compared with the obtained fits, to verify if the spreading is under
control. From our analysis it appears that the spreading reached saturation in
China, due to the strong containment policy of the national government. In
Singapore a large growth rate, recently observed, suggests the start of a new
strong spreading. For South Korea and Italy, instead, the next data on new
infections will be crucial to understand if the saturation will be reached for
lower or higher numbers of infected individuals.
