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Dynamic System: Chemostat Variation

  1. Mar 3, 2014 #1
    1. The problem statement, all variables and given/known data
    Suppose that we use a Michaelis-Menten growth rate in the chemostat model, and that the parameters are chosen so that a positive steady state exists. Show that
    N = f(V,F,C0) = (C0(F - VKm) + FKn)/(a(F - VKm))
    and
    C = (FKn)/(F - VKm)
    at the positive steady state.


    3. The attempt at a solution
    I don't even know what this question is asking. I copied it word for word; there are no typos on my end. The problem can be seen at this link:
    www.math.rutgers.edu/~sontag/336/notes336_06.pdf [Broken] on page 109. Any help on what this means would be wonderful!
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Mar 4, 2014 #2

    maajdl

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