On the Homotopy Analysis Method for Fractional SEIR Epidemic Model

By M. Al‐Smadi, G. Gumah. 2014

61 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/96f965fc8b894ec00514c7bc9267c733d37b4dcd

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In Applied Mathematics

1. M. Issa
2. Giniswamy Giniswamy
3. Kirtiwant P. Ghadle
4. Ahmed A. Hamoud

In Modeling and Simulation

1. M. Issa
2. Giniswamy Giniswamy
3. Kirtiwant P. Ghadle
4. Ahmed A. Hamoud

In Public Health, Environmental and Occupational Health

1. M. Issa
2. Giniswamy Giniswamy
3. Kirtiwant P. Ghadle
4. Ahmed A. Hamoud

Citations in the corpus

• EXISTENCE AND UNIQUENESS THEOREMS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS (2018, methodology): “Al-Samadi and Gumah [3] applied the homotopy analysis method for fractional SEIR epidemic model, Zurigat et al. [22] applied HAM for system of fractional integro-differential equations, Yang and Hou [20] applied the Laplace decomposition method to solve the fractional integro-differential equations,”