Social selection in human populations: Deterministic analyses on the modification of the fitness of offspring by affected parents

Abstract

A social selection model for deleterious genes has been studied by considering two alleles at one locus. The model allows for the fitness of an individual to be determined by parental phenotypes as well as by his/her own phenotype. We show that the equilibrium gene frequency depends on the loss of fitness of an individual due to the trait (γ) and due to affected parents (P), and the probability that the heterozygote develops the trait (h). We show that whenever an interior equilibrium point exists for given values of γ and β, it is unique and that the sufficient condition for the existence of the equilibrium point is given by