Abstract:

Abstract: In the first part of this talk,, we collect some definitions and preliminary results about fractional derivatives. Secondly, an SIR spatio-fractional time epidemic system involving the ABC (Atangana–Baleanu–Caputo) fractional time derivative is formulated with no-flux boundary conditions. Immunity is forced through vaccine distribution considered a control variable. Existence of an optimal control that minimizes the number of infected individuals and the costs associated with vaccination is proved. Then, necessary optimality conditions are obtained. Finally, numerical simulations verifying that the proposed control strategy provide significantly results are illustrated.

Abstract: