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Suppose a population grows according to the logistic equation but is subject to a constant total harvest rate of H. If N(t) is the population size at time t, the population dynamics are dN dt = r 1 − N K N − H. Different values of H will result in different equilibrium population sizes, and if H is large enough we might expect extinction.(a) Suppose r = 2, K = 1000, and H = 100. Find all equilibria. (Round your answers to the nearest integer. Enter your answers as a comma-separated list.) N hat =(b) Determine whether each of the equilibria found in part is locally stable or unstable. (Round your answers to the nearest whole number. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) stable N hat = unstable N hat =Is the population predicted to go extinct?YesNo
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Suppose a population grows according to the logistic equation but is subject to a constant total har...
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