Before revision:  Basic predictions for the evolution of the disease expansion are made for selected countries with a stable evolution in the parametric space of the model. The findings presentedhere should contribute to the understanding of the behavior of the disease expansion and the role of the restrictive measures on the evolution of the expansion .
After revision:  Basic predictions for the evolution of the disease expansion are made for selected countries with a stable evolution in the parametric space is presented. One-week predictions based on extrapolations have average precision of 18\% and 29\% during the later period of the damped exponential expansion for the case of Italy and Czechia, respectively. The method based on extrapolations in the parametric space may provide an elementary method to quantify the impact of restrictive measures on the evolution of the expansion .