Assume that the population of a species grows according to the model dP dt 30 = 3(103P - P² - 300). (3.1) Draw the phase

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Assume That The Population Of A Species Grows According To The Model Dp Dt 30 3 103p P 300 3 1 Draw The Phase 1 (53.2 KiB) Viewed 11 times

Assume that the population of a species grows according to the model dP dt 30 = 3(103P - P² - 300). (3.1) Draw the phase line of the system. (3.2) Explain how the population behaves, for the following initial values: (a) P (0) = 1; (b) P (0) = 30; (c) P (0) = 120. APM1514/101/0/2022 (3.3) Are there any initial population sizes in this model for which the population grows without bound? Justify your answer.