مشخصات پژوهش

This paper presents a comprehensive analysis of an optimal control model for spread of infection in infectious diseases utilizing the Fractal-Fractional derivative with an exponentially decaying type kernel. The next-generation matrix method is employed to calculate the reproduction number. The equilibrium points of the model are calculated, and the local and global stability of the disease-free equilibrium point is also examined. Sensitivity analysis is discussed to assess the significance of the parameters. The existence and uniqueness of the solution for the model are demonstrated.