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Math Help - Logistic Models

  1. #1
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    Logistic Models

    I just have an analytical question about logistic models.

    Concerning the formula dP/dt = kP(1 - P/L):

    As t increases, the function approaches L, but why is there an extra P term ("kP")??? It seems that the function would have the same behaviour without it.

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  2. #2
    Master Of Puppets
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    This page explains the parameters in the model.

    Logistic function - Wikipedia, the free encyclopedia
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  3. #3
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    No, they would not have the same behaviour. If dP/dt= kP, P is an exponential that increases without bound. The "1- P/L" causes P to level off at P= L.
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