|Aug23-11, 09:11 PM||#1|
Equilibrium solutions in mathematical modelling
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!
|Aug24-11, 06:29 AM||#2|
hi klinklindeman! welcome to pf!
|differential eqn, equilibrium solution|
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