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Equilibrium solutions in mathematical modelling

by klinklindeman
Tags: differential eqn, equilibrium solution
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klinklindeman
#1
Aug23-11, 09:11 PM
P: 2
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!
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tiny-tim
#2
Aug24-11, 06:29 AM
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hi klinklindeman! welcome to pf!
Quote Quote by klinklindeman View Post
I need to find all the equilibrium points.
it's a little difficult to tell without seeing the question, but equilibrium usually means that you can put Pk = Pk+1
Also, when I expand the function I will have a polynomial with Pk^3, so there will be multiple solutions I assume.
not so much multiple solutions, as a solution with multiple constants


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