Solutions of the SIR models of epidemics using HAM

Fadi Awawdeh, A. Adawi and Z. Mustafa

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 3047-3052

Abstract: In this paper, we investigate the accuracy of the Homotopy Analysis Method (HAM) for solving the problem of the spread of a non-fatal disease in a population. The advantage of this method is that it provides a direct scheme for solving the problem, i.e., without the need for linearization, perturbation, massive computation and any transformation. Mathematical modeling of the problem leads to a system of nonlinear ODEs. MATLAB 7 is used to carry out the computations. Graphical results are presented and discussed quantitatively to illustrate the solution.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:3047-3052

DOI: 10.1016/j.chaos.2009.04.012

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