Asad A, Freihat, M. Zurigat and Ali H. Handam, The multi-step homotopy analysis method For Modified Epidemiological Model for Computer Viruses, Afrika Mathematika, 26 (3) (2015), 585-596.
In this paper, we consider the modified epidemiological model for computer
viruses (SAIR) proposed by Piqueira and Araujo (Appl MathComput 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 theMHAM and the classical fourth-order
Runge-Kutta method reveal that this method is very effective. The solutions obtained are also
presented graphically.