Basins of Attraction Problems each specify one of the competition scenarios in the previous set of problems. For each stable equilibrium point in the given model, find and color the set of points in the plane whose associated solution curves eventually approach that equilibrium point. An example is given in Fig. 2.6.12.

Such a set of points is called the basin o f attraction for that equilibrium. Relate the coloring of these basins to your description of the long-term fate of the species given in the corresponding problem.
a. dx/dt = 1-x-y
dy/dt = x - y2
b. dx/dt = 1 - x -y
dy/dt = 1 - x2 - y2

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