Numerical behavior of a fractional order dynamical model of RNA silencing

  • Authors

    • A.M.A. El-Sayed Faculty of Engineering, MSA university, Giza, Egypt
    • M. Khalil
    • A.A.M. Arafa
    • Amaal Sayed
    2016-08-29
    https://doi.org/10.14419/ijsw.v4i2.6474
  • Fractional Calculus, RNA Silencing Fractional Order Model, Predictor-Corrector Method.

  • A class of fractional-order differential models of RNA silencing with memory is presented in this paper. We also carry out a detailed analysis on the stability of equilibrium and we show that the model established in this paper possesses non-negative solutions. Numerical solutions are obtained using a predictor-corrector method to handle the fractional derivatives. The fractional derivatives are described in the Caputo sense. Numerical simulations are presented to illustrate the results. Also, the numerical simulations show that, modeling the phenomena of RNA silencing by fractional ordinary differential equations (FODE) has more advantages than classical integer-order modeling.

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  • How to Cite

    El-Sayed, A., Khalil, M., Arafa, A., & Sayed, A. (2016). Numerical behavior of a fractional order dynamical model of RNA silencing. International Journal of Scientific World, 4(2), 52-56. https://doi.org/10.14419/ijsw.v4i2.6474