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Numerical Simulation for the Fractional SIRC Model and Influenza A |
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PP: 1029-1036 |
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Author(s) |
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M. M. Khader,
N. H. Sweilam,
A. M. S. Mahdy,
N. K. Abdel Moniem,
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Abstract |
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In this paper, A Chebyshev spectral method is presented to study the deals with the fractional SIRC model associated
with the evolution of influenza A disease in human population. The properties of the Chebyshev polynomials are used to derive an
approximate formula of the Caputo fractional derivative. This formula reduces the SIRC model to the solution of a system of algebraic
equations which is solved using Newton iteration method. The convergence analysis and an upper bound of the error of the derived
formula are given. We compared our numerical solutions with those numerical solutions using fourth-order Runge-Kutta method. The
obtained results of the SIRC model show the simplicity and the efficiency of the proposed method. Also, illustration for propagation of
influenza A virus and the relation between the four cases of it along the time at the fractional derivative are given. |
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