A Model of Selection

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, obey the formula bt+1 = r bt. The resulting formula for the ratio of mutants to the total population is then

pt+1 = s pt / [ s pt + r(1 - pt) ]

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

r =
s =
N =
po =
pt+1 = s pt / [ s pt + r(1 - pt) ]