Dynamical Analysis Of A Fractional-order Predator-prey Model With Crowley-Martin Functional Response And Its Discretization

In this paper,we discussed a fractional-order predator-prey model with CrowleyMartin functional response and its discretized counterpart.The dynamical behaviors of the systems such as asymptotic stability and bifurcation phenomena are analyzed.It is shown that the discretized system exhibits much richer dynamical behaviors than its continuous form.It is also proved that the discrete-time system can undergo a NeimarkSacker bifurcation when the parameters vary in the small neighborhood.Moreover,some numerical simulations are presented to illustrate our theoretical results of the paper.