Consider the following system of differential equations describing two populations: x' = 0.02x (1 - + 0.004xy 80 y' = 0.04y (1 - ) - 0.0002ry a. Describe what the equations tell us about the populations (how the populations behave absent interaction, and how interaction affects each population). b. Find all equilibrium points algebraically. c. Classify each equilibrium using linearization d. Sketch some solution curves in the phase plane (x-y plane)

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