Sex-linked inheritance Genetic balanced sex determination Bidimensional two-sex stochastic model Perfect fidelity mating Rates of growth
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 24, No 1, (2015), 21p-34p
The limiting genotype behaviour of Y-linked genes is studied in a two-sex monogamous population, where the sex designation is balanced. To this end, a multitype bisexual branching process is considered to model the evolution of the numbers of females and males of each genotype. It is assumed perfect fidelity mating with preference of females for males carrying certain allele of the gene. From this model, conditions for having positive probability of coexistence are investigated. Moreover, genotype growth rates on the coexistence event are established. Hence, the dominant genotype is found. Finally, the main results are illustrated by means of a simulated example. 2010 Mathematics Subject Classification: 60J80, 60J85.