Browsing by Author "Abdel Rady, AS"

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    Approximate analytical solution of the fractional epidemic model
    (International Journal of Applied Mathematical Research, 2012) Rida, SZ; Abdel Rady, AS; Arafa, AAM; Khalil, M
    In this paper an analytical expression for the solution of the fractional order epidemic model of a non-fatal disease in a population which is assumed to have a constant size over the period of the epidemic is presented. Homotopy analysis method (HAM) is implemented to give approximate and analytical solutions of the presented problem.
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    The effect of the environmental parameter on the Hantavirus infection through a fractional-order SI model
    (International Journal of Basic and Applied Sciences,, 2012) Rida, SZ; Abdel Rady, AS; Arafa, AAM; Khalil, M
    In this paper, fractional-order model of the Hantavirus infection in terms of simple differential equations involving the mice population is presented. A study of the effect of changes in ecological conditions and diversity of habitats can be observed by varying the value of the environmental parameter . Generalized Euler method (GEM) is considered in this paper to obtain an analytic approximate solution of this model.