Computer Lab: Competition Outcomes
Competitive Exclusion
Use this IDE tool to draw phase-plane trajectories for the competition model (8). Consider the four possible relations of the nullclines, and hand-sketch a phase portrait for each.
(a) Describe the different outcomes in terms of the equilibrium points and their stability.
(b) Describe whatever new insights you achieved with this interactive graphics exploration.
(c) For each stable equilibrium point in each of your four phase portraits from part (a), find and color its basin of attraction. (See Problems 27–30.) Relate these basins to your descriptions in part (a).
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