M Elhia, M Rachik, E Benlahmar
We will investigate the optimal control strategy of an SIR epidemic model with time
delay in state and control variables. We use a vaccination program to minimize the
number of susceptible and infected individuals and to maximize the number of
recovered individuals. Existence for the optimal control is established; Pontryagin’s
maximum principle is used to characterize this optimal control, and the optimality
system is solved by a discretization method based on the forward and backward …
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