Numerical Analysis of a Fractional Order Discrete Prey – Predator System with Functional Response

  • Authors

    • A. George Maria Selvam
    • R. Janagaraj
    2018-10-02
    https://doi.org/10.14419/ijet.v7i4.10.21311
  • Predator Prey System, Fractional Order, Functional Response, Discretization, Stability, Bifurcation.

  • Abstract

    This study presents numerical examples of Discrete Fractional Order Prey Predator interactions with Functional Response. The process of discretization is applied and the version of discrete equations is obtained. Fixed points are determined and the stability around the fixed points is analyzed. Also the theoretical analysis has been verified from the numerical simulations, which help better understanding of the proposed system. Rich dynamics of system is exhibited by Bifurcation diagram and Periodic Oscillations for suitable parameters values.

     

     

  • References

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  • How to Cite

    George Maria Selvam, A., & Janagaraj, R. (2018). Numerical Analysis of a Fractional Order Discrete Prey – Predator System with Functional Response. International Journal of Engineering & Technology, 7(4.10), 681-684. https://doi.org/10.14419/ijet.v7i4.10.21311

    Received date: 2018-10-08

    Accepted date: 2018-10-08

    Published date: 2018-10-02