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Abstract
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Article Information:
On the Homotopy Analysis Method for Fractional SEIR Epidemic Model
Mohammed H. AL-Smadi and 2Ghaleb N. Gumah
Corresponding Author: Mohammed H. AL-Smadi
Submitted: November 04, 2013
Accepted: December 02, 2013
Published: May 10, 2014 |
Abstract:
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This study investigates the accuracy of solution for fractional-order an SEIR epidemic model by using the homotopy analysis method. The homotopy analysis method provides us with a simple way to adjust and control the convergence region of the series solution by introducing an auxiliary parameter. Mathematical modeling of the problem leads to a system of nonlinear fractional differential equations. Indeed, we find the analytical solution of the proposed model by Homotopy analysis method which is one of the best methods for finding the solution of the nonlinear problem. Numerical simulations are given to illustrate the validity of the proposed results.
Key words: Epidemic models, fractional differential equations, homotopy analysis method, series solution, , ,
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Cite this Reference:
Mohammed H. AL-Smadi and 2Ghaleb N. Gumah, . On the Homotopy Analysis Method for Fractional SEIR Epidemic Model. Research Journal of Applied Sciences, Engineering and Technology, (18): 3809-3820.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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