Solution of the epidemic model by homotopy perturbation method

In this article the problem of the spread of a non-fatal disease in a population which is assumed to have constant size over the period of the epidemic is considered. He’s homotopy perturbation method is employed to compute an approximation to the solution of the system of nonlinear ordinary differe...

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Bibliographic Details
Published in:Applied mathematics and computation 2007-04, Vol.187 (2), p.1056-1062
Main Authors: Rafei, M., Ganji, D.D., Daniali, H.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Homotopy perturbation method
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Sciences and techniques of general use
System of nonlinear differential equations
The epidemic model
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Summary:In this article the problem of the spread of a non-fatal disease in a population which is assumed to have constant size over the period of the epidemic is considered. He’s homotopy perturbation method is employed to compute an approximation to the solution of the system of nonlinear ordinary differential equations governing on the problem. The results are compared with the results obtained by Adomian decomposition method. Some plots are presented to show the reliability and simplicity of the method.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2006.09.019