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Abstract
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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.
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