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Differential EquationsMediumModels & Qualitative Behavior

Models & Qualitative Behavior · Medium problem

A deer population follows P′=0.3P(1−P800)P' = 0.3P\left(1-\dfrac{P}{800}\right). After an unusually mild winter the population overshoots to P=1000P=1000, above the carrying capacity. Find the signed rate of change P′P' at this moment.