Global dynamics of a ratio-dependent Holling-Tanner predator-prey system

A ratio-dependent Holling-Tanner predator-prey model is studied. By investigating the local stability properties of equilibrium points and periodic solutions of a transformed system, and by applying the Poincaré-Bendixson theorem, we are able to give a complete classification of the global dynamics of the ratio-dependent Holling-Tanner predator-prey model.