Before revision:  Conclusions: The proposed model , calibrated and designed on measured or literature-based parameters, was successfully applied in all scenariosanalyzed and the estimation of the dynamic of the whole number of infectious individuals could help the planning of different strategies aimed at relaxing the lockdown measures .
After revision:  Conclusions: The proposed model , calibrated and designed on measured or literature-based parameters, was successfully applied in all scenariosanalyzed and the estimation of the amount of undetected and asymptomatic cases are estimated, which are likely to represent the main source of infections in the near future. The model is applied to the Hubei case study, which is the first place to relax mobility restrictions. Results show different possible scenarios. Mobility and the adoption of personal protective measures greatly influence the dynamics of the infection, determining either a huge and rapid secondary epidemic peak or a more delayed and manageable one. CONCLUSIONS: mathematical models can provide useful insights for healthcare decision makers to determine the best strategy in case of future outbreaks .