Approximate Solution of an Epidemic SIR Model via Laplace Transform and Q-Homotopy Analysis Method

In this paper, we study an ad-hoc epidemic SIR model governed by the Caputo derivative. We use the Laplace transform and the q- Homotopy analysis method (Lq-HAM) to obtain approximate solutions to the system. We f inally present some numerical simulations using Mathematica to illustrate the qualitative results. Our approach can be used even in the context of construc tive fractional models and other abstract fractional differential systems.