analysis of caputo fractional seir model for covid-19 pandemic

In this paper, we study the spread of covid-19 and its effect on a population through mathematical models. we propose a caputo time-fractional compartmental model (seir) comprising the susceptible, exposed, infected and recovered population for the dynamics of the covid-19 pandemic. the proposed nonlinear fractional model is an extension of a formulated integer-order covid-19 mathematical model. the existence of a unique solution for the proposed model was shown by using basic concepts such as continuity and banach’s fixed-point theorem. the uniqueness and boundedness of the solutions of the proposed model are investigated. we calculate a central quantity in epidemiology called the basic reproduction number, $r_{0}$ by the concept of the next-generation matrices approach. the equilibrium points of the model are calculated and the local asymptotic stability for the derived disease-free equilibrium point is discussed.