Research Article | OPEN ACCESS
On the Homotopy Analysis Method for Fractional SEIR Epidemic Model
1Mohammed H. AL-Smadi and 2Ghaleb N. Gumah
1Applied Science Department, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan
2Applied Science Department, Faculty of Engineering Technology, Al-Balqa Applied University, Amman 11942, Jordan
Research Journal of Applied Sciences, Engineering and Technology 2014 18:3809-3820
Received: November 04, 2013 | Accepted: December 02, 2013 | Published: May 10, 2014
Abstract
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.
Keywords:
Epidemic models, fractional differential equations, homotopy analysis method, series solution,
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Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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