Archive for the tag: Growth

Logistic Growth

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Logistic Growth

Paul Andersen explains how populations eventually reach a carrying capacity in logistic growth. He begins with a brief discussion of population size ( N ), growth rate ( r ) and exponential growth. He then explains how density dependent limiting factors eventually decrease the growth rate until a population reaches a carrying capacity ( K ). A mathematical simulation of this process is included along with a brief discussion of r and K selected species.

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https://www.khanacademy.org/science/hs-biology/x4c673362230887ef:matter-and-energy-in-ecosystems/x4c673362230887ef:population-growth-and-carrying-capacity/a/population-growth-and-carrying-capacity-article

Learn about population growth rates and how they can be modeled by exponential and logistic equations.

Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/population-growth-and-regulation/v/density-dependent-and-density-independent-population-regulation

Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/population-ecology/v/organism-life-history-and-fecundity

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Logistic Growth Function and Differential Equations

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Logistic Growth Function and Differential Equations

This calculus video tutorial explains the concept behind the logistic growth model function which describes the limits of population growth. This shows you how to derive the general solution or logistic growth formula starting from a differential equation which describes the population growth rate. This video contains 1 example problem with multiple parts.