Logistic Growth

growth

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Logistic growth

Difference equation : the following forms are equivalent

Logistic growth

Logistic growth

Logistic growth

The interactive program below produces Logistic Growth. Input the initial value x(0) and constant r and g then click "Find" button to find x(n) and to show the plot.

Initial value x(0) = Constant r = > 1 Constant g = Find the value of x at n =

Characteristics of Logistic Growth Model:

  • Multiply by a growth factor that depends linearly on the current terms of the sequence
  • The growth factor is linearly depend on the size Logistic growth
  • Logistic growth = capacity.
  • If Logistic growth :
    • If Logistic growth , then every Logistic growth is remain in the interval Logistic growth
    • If Logistic growth , then the model may produce unrealistic results such as negative Logistic growth or Logistic growth
    • If Logistic growth , the model will eventually level off at a steady value of Logistic growth .
  • If Logistic growth , the Logistic growth will steadily decrease with zero asymptote. If Logistic growth , the Logistic growth will level off to a steady positive value of Logistic growth

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See also: Dynamical System tutorial

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This tutorial is copyrighted.

Preferable reference for this tutorial is

Teknomo, Kardi (2015) Simple Growth Model. https:\\people.revoledu.com\kardi\ tutorial\Growth\