Solutions of the SIR models of epidemics using HAM |
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Authors: | Fadi Awawdeh A Adawi Z Mustafa |
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Institution: | aDepartment of Mathematics, Hashemite University, Jordan |
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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. |
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