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The multi-step homotopy analysis method for modified epidemiological model for computer viruses

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Abstract

In this paper, we consider the modified epidemiological model for computer viruses (SAIR) proposed by Piqueira and Araujo (Appl Math Comput 2(213):355–360, 2009). The multi-step homotopy analysis method (MHAM) is employed to compute an approximation to the solution of the model of fractional order. The fractional derivatives are described in the Caputo sense. Figurative comparisons between the MHAM and the classical fourth-order Runge-Kutta method reveal that this method is very effective. The solutions obtained are also presented graphically.

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Authors and Affiliations

  1. Pioneer Center for Gifted Students, Ministry of Education, P.O. box: 311, Jerash, 26110, Jordan

    Asad A. Freihat

  2. Department of Mathematics, Al al-Bayt University, P.O. Box: 130095, AL Mafraq, Jordan

    M. Zurigat & Ali H. Handam

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  1. Asad A. Freihat
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  2. M. Zurigat
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  3. Ali H. Handam
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Correspondence to Ali H. Handam.

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Freihat, A.A., Zurigat, M. & Handam, A.H. The multi-step homotopy analysis method for modified epidemiological model for computer viruses. Afr. Mat. 26, 585–596 (2015). https://doi.org/10.1007/s13370-014-0230-6

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  • DOI: https://doi.org/10.1007/s13370-014-0230-6

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