Just wondering how you're supposed to classify an equilibrium point if one of the eigenvalues is zero and the other is a negative real number. The linearisation theorem fails here and I don't know how to classify the point otherwise.
The only other information I've got is that there is a vertical isocline through the equilibrium point. The isocline is always positive in direction and does not change sign when it intersects the point.
Any help would be greatly appreciated