AM107
Takehome Exam (Problem 1) Handed out: Thursday, November
30, 2000
Return by: 5:00pm on
Thursday, December 14, 2000
Problem 1: The model
xn+1 = axn2(1-xn)
has been suggested as a description of population
growth in which the growth rate depends on the likelihood of an encounter
between two individuals as well as saturation effects. Do what you
can to analyze this model for a > 0.