Yulita Molliq Rangkuti, Syafruddin Side, Mohd Salmi Md Noorani
In this research, the susceptible-infected-recovered (SIR) model of dengue fever is considered. We have implemented two analytical techniques, namely the variational iteration method (VIM) and the homotopy perturbation method (HPM) for solving the SIR model. The Lagrange multiplier was investigated for the VIM and He's polynomial approach for the HPM was used. In these schemes, the solution takes the form of a convergent series with easily computable components. The resultsshow thatthe VIM solution is more accurate than the HPM solution for short time intervals, whereasthe HPM is more accurate than the VIM for long time intervalswhencompared with the fourth- orderRunge-Kutta method (RK4).We found that the HPM and the RK4 were in excellent conformance. © 2014 Published by ITB Journal Publisher.
Department of Mathematics, Universitas Negeri Medan, Pasar V Medan Estate, Medan 20221, Jalan Willem Iskandar, Indonesia; Department of Mathematics, Universitas Negeri Makasar, Jalan A.P. Pettarani, Makasar90245, Indonesia; School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia
