The Fractional Discrete Predator–Prey Model: Chaos, Control and Synchronization

This paper describes a new fractional predator–prey discrete system of the Leslie type. In addition, non-linear dynamics suggested model are examined within framework commensurate and non-commensurate orders, using different numerical techniques such as Lyapunov exponent, phase portraits, bifurcation diagrams. These behaviours imply that type has rich complex dynamical properties influenced by incommensurate orders. Moreover, sample entropy test is carried out to measure complexity validate presence chaos. Finally, nonlinear controllers illustrated stabilize synchronize proposed model.