Modeling and dynamical analysis of a discretized fractional-order predator-prey system with refuge effect

We here investigate the dynamical behaviors for the discrete version of a fractional-order predator-prey model with refuge effect. Mainly, we analyze the stability of its fixed points and the possibility of various bifurcations using stability analysis methods and bifurcation theory. We clearly demonstrate that, under specific parameter conditions, the system exhibits a Neimark–Sacker bifurcation and a period-doubling bifurcation. Finally, some numerical simulations are carried out for illustrating the analytic results previously derived.