Adomian's method for solving a nonlinear epidemic model

This paper solves the susceptible -infected -recovered (SIR) model by means of the Adomian decomposition method (ADM). The ADM provides series solutions for the infected and recovered individuals. Such series solutions transform to exact ones under certain constraints of the initial conditions. In addition, closed form solutions are obtained for the infected and recovered individuals by rearranging the components of the ADM series. The accuracy is examined via comparing our results with an accurate numerical method. Agreement between our results and those of the numerical method is achieved.