Question: Population Dynamics Problem 4. (1 point) Another model for a growth function for a limited population is given by the Gompertz function, which is a

Population Dynamics

Problem 4. (1 point) Another model for a growth function for a limited population is given by the Gompertz function, which is a solution of the differ- ential equation dP K dt = cln P P where c is a constant and K is the carrying capacity. (a) Solve this differential equation for c = 0.1, K = 1000, and initial population Po = 500. P(t) = (b) Compute the limiting value of the size of the population. lim P(t) =- (c) At what value of P does P grow fastest? P =

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