Abstract
This article is concerned with the approximate solution of fractional order endemic model of non-fatal disease in a community. We consider that a population in the concerned community is initially in equilibrium with an endemic disease caused by a wild type virus. Using Laplace transform coupled with Adomian decomposition method, we obtain numerical solution of the proposed model. The mentioned method is known as Laplace Adomian decomposition method (LADM). The solutions obtained by this method are compared with the solutions obtained by the RK4 and homotopy perturbation method for taking classical order derivative of the governing equations.