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Math Help - Logistic Recursion Relation

  1. #1
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    Logistic Recursion Relation

    A certain population is believed to satisfy the logistic recursion relation


    The data for this population can be found at posted data. Find the constants and that fit the data to the update function f as well as possible in a least squares sense and use the values of A and B to predict the equilibrium values of .

    I found A to be -.0085 and B to be 2.7

    I need help finding Peq. thank you.

    Here is the posted data
    n Pn
    0 7
    1 18.4835
    2 47.0015119
    3 108.126374
    4 192.565052
    5 204.734597
    6 196.495243
    7 202.348922
    8 198.308856
    9 201.159491
    10 199.176929
    11 200.570391
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  2. #2
    MHF Contributor
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    Re: Logistic Recursion Relation

    Hey danielwow.

    Are you trying to find the fixed point where Pn = A*(Pn)^2 + B*Pn?
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  3. #3
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    Re: Logistic Recursion Relation

    No, i am trying to find Pequilibrium i found zero was one of them but there are multiple Peq
    also thanks for replying
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