Equilibrium points, stability and numerical solutions of fractional-order predator–prey and rabies models

In this paper we are concerned with the fractional-order predator–prey model and the fractional-order rabies model. Existence and uniqueness of solutions are proved. The stability of equilibrium points are studied. Numerical solutions of these models are given. An example is given where the equilibrium point is a centre for the integer order system but locally asymptotically stable for its fractional-order counterpart.