Homotopy Analysis Method for the Approximate Solution of the SIRC Epidemic Model

Abstract

This paper investigates the Homotopy Analysis Method (HAM) as a means of approximating a solution to the SIRC epidemic model. This method allows the solution of the governing differential equation to be found as an infinite series with easily calculated components. The HAM uses an auxiliary parameter and a straightforward way to regulate and alter the region where the infinite series solution converges. The outcomes are displayed, and with just six terms, an extremely precise approximation solution can be achieved.