Intro to Math Modeling: The Logistic Model

(Lecture 1.4) This lesson focuses on modeling the growth of a bird population on an island using different mathematical models. Initially, linear and exponential models are fitted to the data, but they fail to accurately predict long-term behavior. The introduction of the logistic model, which considers a carrying capacity, offers a more accurate representation of the population growth. By analyzing extended data and adjusting the growth rate parameter, the logistic model proves to be a superior tool for predicting the population's behavior over time.

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