Model order reduction is achieved by approximating the dynamics on the invariant manifold connecting the stall equilibria and the equilibria depicting the steady axisymmetric flow. Bifurcations and qualitative dynamics of the closed loop system are obtained by analyzing the reduced order system, and illustrated by drawing phase portraits at different values of the throttle coefficient. The invariant manifold of a saddle equilibrium of the reduced system forms the boundary, bet,keen the region of attraction of the stabilized stall equilibrium and that of the fully developed stall equilibrium.