# Logistic Recursion Relation

• Feb 24th 2013, 03:15 PM
danielwow
Logistic Recursion Relation
A certain population is believed to satisfy the logistic recursion relation
http://webwork.sdsu.edu/webwork2_fil...cb75e5d791.png

The data for this population can be found at posted data. Find the constants http://webwork.sdsu.edu/webwork2_fil...0fcdd79cd1.png and http://webwork.sdsu.edu/webwork2_fil...224e2cc9b1.png that fit the data to the update function f as well as possible in a least squares sense and use the values of A and B to predict the equilibrium values of http://webwork.sdsu.edu/webwork2_fil...8d5ec3a3b1.png.

I found A to be -.0085 and B to be 2.7

I need help finding Peq. thank you.

Here is the posted data
 n Pn 0 7 1 18.4835 2 47.0015119 3 108.126374 4 192.565052 5 204.734597 6 196.495243 7 202.348922 8 198.308856 9 201.159491 10 199.176929 11 200.570391
• Feb 24th 2013, 05:37 PM
chiro
Re: Logistic Recursion Relation
Hey danielwow.

Are you trying to find the fixed point where Pn = A*(Pn)^2 + B*Pn?
• Feb 24th 2013, 05:44 PM
fourhire
Re: Logistic Recursion Relation
No, i am trying to find Pequilibrium i found zero was one of them but there are multiple Peq