Solved: Two species of fish that compete with each other for food, but do not prey on
Chapter 9, Problem 8(choose chapter or problem)
Two species of fish that compete with each other for food, but do not prey on each other,are bluegill and redear. Suppose that a pond is stocked with bluegill and redear, and letx and y be the populations of bluegill and redear, respectively, at time t. Suppose furtherthat the competition is modeled by the equationsdx/dt = x(1 1x 1y),dy/dt = y(2 2y 2x).(a) If 2/2 > 1/1 and 2/2 > 1/1, show that the only equilibrium populations in thepond are no fish, no redear, or no bluegill. What will happen for large t?(b) If 1/1 > 2/2 and 1/1 > 2/2, show that the only equilibrium populations in thepond are no fish, no redear, or no bluegill. What will happen for large t?
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