Before revision:  We provide numerical examples and a sensitivity analysis . We show that the divergence between the individual and societal strategies happens after the epidemic peak but while significant propagation is still underway.
After revision:  We provide numerical examples and a sensitivity analysis , as well as an extension to a SEIR compartmental model to account for the relatively long latent phase of the COVID-19 disease. In all the scenarii considered, the divergence between the individual and societal strategies happens after the epidemic peak but while significant propagation is still underway.