Browsing by Author "A. M. ARAFA, A."

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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.