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Equilibrium solutions in mathematical modelling

  1. Aug 23, 2011 #1
    Hi,
    I don't want to list the exact problem I have to solve, as I would rather do it myself, all I would like is some guidance. The problem is a function like: Pk+1=a (Pk-1) with a few more constants and some brackets thrown about on the right hand side. I need to find all the equilibrium points. I am not exactly sure how to get started, and I have had a look in my textbook and couldn't find any examples similar to this. Do I just derive this function, and then let it equal zero to solve for the points?

    Also, when I expand the function I will have a polynomial with Pk^3, so there will be multiple solutions I assume.

    Thanks for the help!
     
  2. jcsd
  3. Aug 24, 2011 #2

    tiny-tim

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    welcome to pf!

    hi klinklindeman! welcome to pf! :smile:
    it's a little difficult to tell without seeing the question, but equilibrium usually means that you can put Pk = Pk+1
    not so much multiple solutions, as a solution with multiple constants :wink:
     
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