This page allows you to investigate the evolution of a population governed by the equation:
number(next generation) = L * number(this generation) * [ 100,000 - number(this generation) ]
The value of number is rounded to the nearest integer for each interation. Note that this simplification is not quite correct, but is close enough for our purposes.
You choose the value of L, the total number of generations to calculate, and the number in the first generation. When you click on Submit Query a graph of the population vs. generation will be plotted, and the values of the population for the last "few" generations will be displayed.
This page and the Perl code behind it were written by David M. Harrison, Dept. of Physics, Univ. of Toronto, mailto:harrison@physics.utoronto.ca in March 2002.
This document is Copyright © 2002 by David M. Harrison.