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On the survival probability of a slightly advantageous mutant gene with a general distribution of progeny size—A branching process model

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Abstract

A branching process method is employed to study the survival probability of a slightly advantageous mutant gene with a general distribution of progeny size in a large population. A counter-example to a classic proposition is given. A somewhat weaker result is proved.

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Supported in part by NIH Grant 5R01 GM10452-18

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Eshel, I. On the survival probability of a slightly advantageous mutant gene with a general distribution of progeny size—A branching process model. J. Math. Biology 12, 355–362 (1981). https://doi.org/10.1007/BF00276922

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  • DOI: https://doi.org/10.1007/BF00276922

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