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What is the logistic model of population growth?

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Logistic Growth Model Part 1: Background: Logistic Modeling. A biological population with plenty of food, space to grow, and no threat from predators, tends to grow at a rate that is proportional to the population-- that is, in each unit of time, a certain percentage of the individuals produce new individuals. If reproduction takes place more or less continuously, then this growth rate is represented by

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