Stability and dynamics of a fractional order Leslie-Gower prey-predator model

In this paper, we introduce a fractional order Leslie-Gower prey-predator model, which describes interaction between two populations of prey and predator. We determine stability and dynamical behaviors of the equilibria of this system. The dynamical behaviors consist of quasi-periodic and limit cycles. Further by numerical solution of the fractional system and numerical simulations, we reveal more dynamical behaviors of the model.