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Mathematical Theory of Phenotypical Selection

✍ Scribed by Yuri Lyubich; Valery Kirzhner; Anna Ryndin

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 149 KB
Volume: 26
Category: Article
ISSN: 0196-8858
DOI: 10.1006/aama.2001.0724

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✦ Synopsis

A general concept of phenotypical structure over a genotypical structure is developed. The direct decompositions of multilocus phenotypical structures are considered. Some aspects of phenotypical heredity are described in terms of graph theory. The acyclic phenotypical structures are introduced and studied on this base. The evolutionary equations are adjusted to the phenotypical selection. It is proved that if a phenotypical structure is acyclic then the set of fixed points of the corresponding evolutionary operator is finite except for a proper algebraic subset of the operator space. Some applications of this theorem are given.

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