Bisexual branching processes in a genetic context: rates of growth for Y-linked genes

Mathematical Biosciences
M GonzálezManuel Mota

Abstract

A multitype bisexual branching process is considered to model the behaviour of a Y-linked gene with two genotypes in a two-sex population. It is assumed perfect fidelity mating with preference of females for the males carrying certain allele of the gene. Under these assumptions, we study the rate of growth of each genotype on the event of non-extinction. The rate of growth of a genotype may depend on whether the other survives or becomes extinct and, in general, both genotype frequencies grow at different rates. We also investigate conditions for the simultaneous explosion of both genotypes to have positive or zero probability.

References

Nov 1, 2001·Proceedings of the National Academy of Sciences of the United States of America·A B CarvalhoA G Clark
Dec 19, 2002·Journal of Biomedicine & Biotechnology·Lluís Quintana-Murci, Marc Fellous
Oct 27, 2004·Chromosome Research : an International Journal on the Molecular, Supramolecular and Evolutionary Aspects of Chromosome Biology·Daisuke YamadaShigeki Mizuno
Jun 3, 2005·Heredity·D CharlesworthG Marais

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Citations

Aug 29, 2012·Journal of Computational Biology : a Journal of Computational Molecular Cell Biology·M GonzálezR Martínez

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