Figure 4

Active infected individuals: comparison of the solution of the SAIRP model with the optimal control problem. Linear and quadratic fit for the time where there is no transfer from P to S, in terms of \(u_{\max }\in [0.05;0.95]\) under the constraints \(I \leqslant 0.60 \times I_{\max }\) and \(I \leqslant 2/3 \times I_{\max }\). (a) Fraction of active infected individuals. (b) Control u satisfying the constraint \(I(t)\leqslant 0.60 \times I_{\max }\). (c) Linear fit for the time with no transfer from P to S for \(0 < u_{\max } \leqslant 0.5\). (d) Quadratic fit for the time with no transfer from P to S for \( 0 < u_{\max } \leqslant 0.95\).