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Optimal harvesting rate Let y(t) be the population of a species that is being harvested, for t ≥ 0. Consider the harvesting model y′(t) = 0.008y – h, y(0) = y0, where h is the annual harvesting rate, y0 is the initial population of the species, and t is measured in years.
a. If y0 = 2000, what harvesting rate should he used to maintain a constant population of y = 2000, for t ≥ 0?
b. If the harvesting rate is h = 200/year, what initial population ensures a constant population?
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Calculus: Early Transcendentals, Books A La Carte Edition (3rd Edition)
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