Assume that the population of a species grows according to the model dP dt 30 = 3(103P - P² - 300). (3.1) Draw the phase
Posted: Wed Jul 06, 2022 11:46 am
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.