Dynamical Analysis of a Discrete Fractional Order Prey-Predator 3 – D System

  • A.George Maria Selvam Sacred Heart College
  • Janagaraj * Kongunadu College
  • R. Dhineshbabu DMI College of Engineering
DOI: https://doi.org/10.53555/m.v2i1.1581
Keywords: phrases, .Fractional Order, discretization, Fixed points, Prey – Predator, stability,, Bifurcation.

Abstract

t. In this paper, we propose and discuss the dynamical nature of discrete fractional order
prey – predator systems. A discretization process is applied to obtain itsdiscrete version. Fixed
points and the asymptotic stability are investigated.Chaotic attractor, bifurcation and chaos for
different values of the fractional order parameter arediscussed.
2000 Mathematics Subject Classification.26A33, 39A11, 39A12.

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Author Biographies

A.George Maria Selvam, Sacred Heart College

Sacred Heart College, Tirupattur - 635 601, S.India.

Janagaraj *, Kongunadu College

Kongunadu College of Engineering and Technology, Thottiam - 621 215, S.India

R. Dhineshbabu, DMI College of Engineering

DMI College of Engineering, Chennai, S.India

Published
2016-01-31
How to Cite
Selvam, A. M., *, J., & Dhineshbabu, R. (2016). Dynamical Analysis of a Discrete Fractional Order Prey-Predator 3 – D System. IJRDO -JOURNAL OF MATHEMATICS, 2(1), 23-30. https://doi.org/10.53555/m.v2i1.1581
Issue
Vol. 2 No. 1 (2016): IJRDO-Journal of Mathematics
Section
Articles

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