Article
Asymptotic rates of growth of the extinction probability of a mutant gene.
Journal of mathematical biology - 1 Jan 1992
Hoppe F M
Abstract excerpt
We prove that a result of Haldane (1927) that relates the asymptotic behaviour of the extinction probability of a slightly supercritical Poisson branching process to the mean number of offspring is true for a general Bienaymé-Galton-Watson branching process, provided that the second derivatives of the probability-generating functions converge uniformly to a non-zero limit. We show also by examples that such a...
Topics
- Gene Frequency
- Genes
- Mathematics
- Models, Genetic
- Mutation
- Probability