Browsing by Author "KHALIL, M."

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    THE EFFECT OF VACCINATION ON THE DYNAMICS OF CHILDHOOD DISEASES DESCRIBED BY A FRACTIONAL SIR EPIDEMIC MODEL
    (International Journal Of Advanced in Science and Technology, 2013) RIDA, S. Z.; ABD EL RADI, A. S.; ARAFA, A.A.M.; KHALIL, M.
    Childhood vaccination programs have had a dramatic impact on reducing child mortality worldwide. We introduce fractional-order into A SIR model that monitors the temporal dynamics of a childhood disease in the presence of preventive vaccine is presented in this paper. Generalized Euler method (GEM) is considered in this paper to obtain an analytic approximate solution of this model. The obtained results proved that the disease will persist within the population if the vaccination coverage level is below a certain threshold.
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    A VARIABLE FRACTIONAL ORDER NETWORK MODEL OF ZIKA VIRUS
    (Journal of Fractional Calculus and Applications, 2018) KHALIL, M.; A. M. ARAFA, A.; SAYED, AMAAL
    A variable fractional-order network model of Zika is presented in this paper. We also carry out a detailed analysis on the equilibrium points and its stability. Numerical solutions are obtained using a predictor-corrector method to handle the fractional derivatives. The fractional derivatives are de- scribed in the Caputo sense. Numerical simulations are presented to illustrate the results. Also, the numerical simulations show that, modeling the Zika vari- able fractional order model has more advantages than classical integer-order modeling.