Logistic Growth Model

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Difference equation: the following forms are equivalent

Characteristics:

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

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See also: Dynamical System tutorial

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Preferable reference for this tutorial is

Teknomo, Kardi. Simple Growth Model. http:\\people.revoledu.com\kardi\ tutorial\Growth\