Dynamical behaviours of Bazykin-Berezovskaya model with fractional- order and its discretization

This paper is devoted to study dynamical behaviours of the fractional-order Bazykin- Berezovskaya model and its discretization. The fractional derivative has been de- scribed in the Caputo sense. We show that the discretized system, exhibits more complicated dynamical behaviours than its corresponding fractional-order model. Specially, in the discretized model Neimark-Sacker and ip bifurcations and also chaos phenomena will happen. In the nal part, some numerical simulations verify the analytical results.