MAT136H1 Lecture Notes - Relative Growth Rate, Logistic Function
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MAT136H1 Full Course Notes
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Question #3 (medium): solving the logistic equation for popualtion increase. Logistic model expresses population to be ( ) relative growth rate constant factor and where is the carrying capacity and is the where is the initial population. Biologist have discovered that dolphin population at a certain part of the pacific ocean is . They have also estimated the carrying capacity to be . Solution: given the logistic equation, the carrying capacity is and the relative growth rate is since the population has doubled over the past year, and. Then the population size after years is ( : to reach the population of , set to the population equation and solve for variable :
