Solution of the fractional epidemic model by homotopy analysis method

Abstract

In this article, we investigate the accuracy of the homotopy analysis method (HAM) for solving the fractional order problem of the spread of a non-fatal disease in a population. The HAM provides us with a simple way to adjust and control the convergence region of the series solution by introducing an auxiliary parameter. Mathematical modeling of the problem leads to a system of nonlinear fractional differential equations. Graphical results are presented and discussed quantitatively to illustrate the solution.