Abstract
All epidemic models include a system of non-linear differential equation. Mostly the analytical solution of epidemic model is difficult to obtain. There are many different methods to solve non-linear differential equation, one of them is homotopy analysis method. The homotopy analysis method is an analytic approximation method using series solution for highly non-linear equations. The advantage of this method is a guarantee the convergence of approximation power series solution by choosing suitable values of the auxiliary parameter. In this paper, we consider three epidemic models in a closed population without demographics; SI, SIR, and SEIR models. We find the solutions of the models by homotopy analysis method and then compare the numerical results with fourth order Runge-Kutta method. The homotopy analysis method gives a good result for the solution of the epidemic models with a few iterations and the solutions obtained from this method are good as compared to fourth order Runge-Kutta numerical method.
Export citation and abstract BibTeX RIS
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.