Abstract
Gene survival in a population which increases without density dependence is considered using a generalization of the Moran model for haploid individuals. It is shown that situations where ultimate homozygosity is certain and where there is a non-zero probability of balanced polymorphism are both possible. Necessary and sufficient conditions in terms of the mean of the population growth distribution are given which determine which of these situations holds.
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Heyde, C.C. On the survival of a gene represented in a founder population. J. Math. Biol. 12, 91–99 (1982). https://doi.org/10.1007/BF00275205
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DOI: https://doi.org/10.1007/BF00275205