A Model of Selection
by Mike Martin

This page allows you to iterate a model, given below, for the ratio, pt, of mutants to the total population where the mutant population obeys the formula mt+1 = s mt and the only other variety, the wild-type, obeys the formula bt+1 = r bt. The resulting formula for this ratio of mutants to the total population can be shown to be

Given an initial ratio, p0, this formula is iterated N steps using selected values of the wild-type growth rate, r, and the mutant growth rate, s.

Enter in the value of the parameters and select the plotting bounds, then press the "Plot" button.

r =  

s =  

p0 =  

N =  


References:

Wikipedia's Selection

Scholarpedia's Articles on Models of Genetic Selection