Exercise B. Below is the vector field and some trajectories of a deer-moose model. This model has four equilibrium points, the black dots denoted A, B, C, and D. For each equilibrium point, explain whether it is an attractor or not.
Exercise C. Suppose you have a 2-dimensional system with a stable limit cycle (periodic attractor and only one equilibrium point inside it. What is the stability of this equilibrium point and why? Hint: Draw this situation and try to sketch a few trajectories.