title: Frequency-dependent selection in logistic growth models.
abstract: This paper describes the dynamics of a continuously reproducing diploid population with two alleles at one locus. The dependent variables are allele frequency and population density. We modify the basic density-dependent logistic growth model by inserting three possible types of frequency dependence in the fitness functions. These models are analyzed and contrasted with the purely density-dependent situation. Examples are given of periodic fluctuations in allele frequency and population density, which would be impossible for purely density-dependent fitness functions.
mesh_terms: D000818:Animals; D001723:Birth Rate; D003433:Crosses, Genetic; D004171:Diploidy; D005787:Gene Frequency; D005838:Genotype; D006801:Humans; D008433:Mathematics; D008957:Models, Genetic; D012641:Selection, Genetic