Mathematical modeling and optimal control strategy for the monkeypox epidemic

In this study, we propose a discrete time mathematical model (SEIQR) that describes the dynamics of monkeypox within human population. The studied population is divided into five compartments: susceptible (S), exposed (E), infected (I), quarantined (Q), and recovered (R). Also, an optimal strategy to fight against spread epidemic. sense use three controls which represent: 1) awarness vulnerable people through media, civil society education; 2) quarantine persons at home or, if required, in hospital; 3) encouraging vaccination persons. To characterize these controls, apply Pontryagin's maximum principle. optimality system solved numerically using Matlab. Therefore, obtained results confirm effectiveness proposed optimization approach.