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Some multi-dimensional branching processes as motivated by a class of problems in mathematical genetics I

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Abstract

In this paper a class of branching processes applicable to populations reproducing by some asexual means or by a simple selfing system of mating is studied. The paper is divided into three parts. In part one the mathematical model is introduced, part two is a mathematical analysis of the model, and in part three concrete applications and examples are given. Many of the proofs of the theorems in part two are omitted but will appear in a subsequent issue of theBulletin.

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Literature

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Authors and Affiliations

  1. Department of Mathematics, Montana State University, Bozeman, Montana

    Charles J. Mode

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  1. Charles J. Mode
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Additional information

The research reported in this paper was supported in part by the United States Atomic Energy Commission, Division of Biology and Medicine Project AT(45-1)-1729.

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Mode, C.J. Some multi-dimensional branching processes as motivated by a class of problems in mathematical genetics I. Bulletin of Mathematical Biophysics 28, 25–50 (1966). https://doi.org/10.1007/BF02476389

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  • DOI: https://doi.org/10.1007/BF02476389

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