A population of rabbits is introduced to an island The population grows according to the logistic growth model given by the

Question

A population of rabbits is introduced to an island The population grows according to the logistic growth model given by the equation P t K 1 A e rt where P t represents the population size at time t K is the carrying capacity A is a constant related to the initial conditions and r is the growth rate For this rabbit population the carrying capacity K is 1000 the constant A is 200 and the growth rate r is 0 05 Calculate the population size at time t 5 years

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