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Question
When two species, such as the rhinoceros and birds, coexist in a symbiotic relationship, they either increase together or decrease together. Typical equations for the growth rates of two such species might be:
dx1/dt = -4x1 + 4x1x2
dx2/dt = -3x2 + 2x1x2
a. Find an equation relating x1 and x2 if x1 = 5 when x2 =1.
b. Find all equilibrium points.
c. If both populations are greater than their values at the equilibrium point, what happens to the populations?
d. If both populations are less than their values at the equilibrium point, what happens to the populations?
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