The "battle of the sexes": a genetic model with limit cycle behavior.
A two-locus genetic model, based on Dawkins "sex war" game, with the fitness of the genotypes at each locus depending on the gene frequencies at the other, is shown to give rise to a stable limit cycle. The mathematical analysis involves averaging techniques and elliptic integrals.
Smith
J M
JM
School of Biological Sciences, University of Sussex, Falmer, Brighton, England.
Hofbauer
J
J
D000818:Animals; D005075:Biological Evolution; D005260:Female; D005787:Gene Frequency; D005838:Genotype; D008297:Male; D008957:Models, Genetic; D008962:Models, Theoretical; D012726:Sexual Behavior, Animal