Generalized Euler Method for Modeling Measles with Fractional Differential Equations

In this paper, a fractional order SIRV model with the rate of vaccination () and treatment () is formulated to describe measles disease. The fractional derivatives are described by Caputo's sense. A study of the effect of eradicating measles can be observed by varying the value of  and .  A Generalized Euler method (GEM) is considered in this paper to obtain an approximate solution of the model. The stability analysis of the equilibrium points is obtained. A numerical simulation of the solution is carried out and represented graphically.