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# Application of Homotopy Analysis Method to SIR Epidemic Model

Author Affiliations

• 1Department of Mathematics, Khansar Faculty of Mathematics and Computer Science, University of Isfahan, Isfahan, IRAN
• 2 Department of Mathematics, Khorasgan Branch, Islamic Azad University, Isfahan, IRAN
• 3 Department of Applied Mathematics, Faculty of Mathematical Sciences,Shahrekord University, Shahrekord, IRAN

Res. J. Recent Sci., Volume 2, Issue (1), Pages 91-96, January,2 (2013)

## Abstract

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. Mathematical modeling of the problem leads to a system of nonlinear ordinary differential equations. Homotopy analysis method is employed to solve this system of nonlinear ordinary differential equations.

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