Contents V.8, N.1, 2017

  • STABILITY AND BIFURCATION ANALYSIS IN A DISCRETE-TIME PREDATOR-PREY DYNAMICS MODEL WITH FRACTIONAL ORDER
    M.El-Shahed, A.M.Ahmed, I.M.E.Abdelstar (pp. 83-96)

    • Abstract.

    In this study, the dynamical behavior of a discrete predator–prey dynamics model of fractional-order is discussed. The existence conditions of the locally asymptotic stability and bifurcation theory of the equilibrium points are analyzed. The numerical simulations are carried out to illustrate the dynamical behaviors of the model such as flip bifurcation, Hopf bifurcation and chaos phenomenon. The results of numerical simulations verify our theoretical analysis.

    Keywords:

    discrete time, predator–prey dynamics model, fractional order, bifurcation, chaos.

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