Dynamic System: Chemostat Variation

[msell2]

Homework Statement

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 - VK_m) + FK_n)/(a(F - VK_m))
and
C = (FK_n)/(F - VK_m)
at the positive steady state.

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 on page 109. Any help on what this means would be wonderful!

 

[maajdl]

This could help you, at least as background info:

http://chemwiki.ucdavis.edu/Biologi.../Enzymatic_Kinetics/Michaelis-Menten_Kinetics