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Question: exercise 4 assume that a population is governed by a...

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Exercise 4: Assume that a population is governed by a logistic equation with carrying capacity K, intrinsic growth rate r, and initial population size K is subjected to constant effort harvesting: N(0) = K. T=rN (1-K)-EN, dt (a) Determine the population size, N(t) (b) Verify that if E < r, the population size will approach the positive steady state, Ni, the carrying capacity K if E r and if E > r, the population will approach the zero steady state, No, as t-oo (c) Find the maximum sustainable yield of the population
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