A Model of Selection by Mike Martin

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

Given an initial ratio, p_{0}, 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 =

p_{0} =

N =

References:

Wikipedia's Selection Scholarpedia's Articles on Models of Genetic Selection

Scholarpedia's Articles on Models of Genetic Selection