The Biology Project > Biomath > Polynomials > Applications > Frequency-Dependent Selection

Polynomial Applications

Frequency-Dependent Selection

Problem 1- Given fitness values, find the equation that defines the equilibrium value of A1.

Given that w11 = 1 - cp, w12 = 1 - ½cp, and w22 = 1 - c + cp, which of the following is equivalent to the equation,

f (p) = p2 (w11 - 2w12 + w22) - p(w11 - 2w12 + w22) + w22 - w12 = 0?

 

 

A.

 

-2p2 + 3p - 1 = 0

B.

 

-2p3 - p2 + 5p - 1 = 0

C.

 

2p3 -7p2 + 7p - 2 = 0

D.

 

2p3 -7p2 - p - 1 = 0
E. 2p3 + p2 + 3p + 2 = 0

Problem 2 - Find the values of A1 that are roots for a given equation describing the equilibrium values of A1.

The Biology Project > Biomath > Polynomials > Applications > Frequency-Dependent Selection


The Biology Project
Department of Biochemistry and Molecular Biophysics

The University of Arizona
March 2007
Contact the Development Team

http://www.biology.arizona.edu
All contents copyright © 2007. All rights reserved.