ABSTRACT

As an example, we consider dynamics of a selection of a Mendelian population with a genetic pool made up of only two alleles of a single gene. Denote these alleles by A and a, whereas the fitness of genotypes AA, Aa, aa at the moment t by

1− εα(t), 1, 1− εβ(t), respectively. Here, ε > 0 is a small parameter, α(t), β(t) are the periodic functions with the period ω and positive mean values α0, β0, respectively. Let pn(t), qn(t) be the frequencies of the alleles A and a in the generation n, respectively. The evolution equation has the form (see, for instance, Ewens [1979]).