Consider the model given by dP 1 3 p2 + Р— 2 = - dt 2 where P denotes the population size after time t. (i) Determine the equilibrium point (s). (ii) Does the population grow according to Malthusian or logistic model? (iii) Sketch of the phase line. (iv) Use the phase line in to sketch the solution curve of the model. (v) Determine the bound of the population of the given model if the size of the population is null initially.

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A: 1b

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