Before revision:  Simulations of the outbreak evolution based on the hypothesis of negligible reinfection probability are performed for France, Ile de France, Puy de Dome and Bouches du Rhone . The incidence peak of 3.5 \% is expected at week 39 for France.
After revision:  Simulations of the outbreak evolution based on the hypothesis of negligible reinfection probability are performed for France, Ile de France, Puy de Dome and Bouches du Rhone and Grand Est. These simulations are using a reproduction rate (R) constant over time ranging from 1.3 to 1.45 (1.15 in Grand Est). They use an estimation of the number of infection which occurred during the first wave. These simulations also use the estimated incidence, which by reducing the susceptible population weeks after weeks induces a saturation of the otherwise exponential growth of the outbreak. An incidence peak of 3.5 \% is expected at week 39 for France.