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Evolution of state proportions – St (susceptible), It (infected, detected or not, ), Rt (recovered and immune, detected or not, ), Ut (hospitalized in ICU), Dt (dead), ℜt (dynamic version of the reproduction number), Wt (labor force available), Qt (susceptible to be quanrantines, ) and δt (lockdown intensity) – with optimal control δ (plain line) and without control (dashed line). States vary here from t = 0 (beginning of the pandemic, or at least of possible measures, with δ ≥ 0) to t = 700, and computations are based on a dt = 1∕5 days.
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