VARIATIONAL ITERATION AND HOMOTOPY PERTURBATION METHODS FOR OBTAINING AN APPROXIMATE SOLUTION OF SEIR MODEL OF DENGUE FEVER IN SOUTH SULAWESI

In this paper, the susceptible-exposed–infected–recovered (SEIR) model of dengue fever disease in South Sulawesi is discussed. The SIR model is formed by a system of nonlinear differential equation. We shall comparevariational iteration method (VIM) againsthomotopy perturbation method (HPM). The Lagrange multiplier is investigated for VIM and the He’s polynomial approach for HPM is used. The two methods are the alternative methods to obtainthe approximate solutions of the SEIR model.
Additional comparison will be made against the conventional numerical method, fourth Runge-Kutta method (RK4). From the result, VIM solution is more accurate than HPM solution for long time interval when it compared to fourth order Runge–Kutta (RK4) and plotting of real data.