Fractional SIRI Model with Delay in Context of the Generalized Liouville–Caputo Fractional Derivative

This chapter addresses an analysis of an epidemic model in the context of fractional calculus. We consider the fractional SIRI model with the delay using the generalized Liouville–Caputo derivative. The existence and uniqueness of the SIRI epidemic model have been investigated. We determine the reproduction number F ₀. We establish the free disease point and the endemic point. We present the stability analysis of the free disease point and the endemic point according to the reproduction number F ₀.