Analytic approach for age-structured populations with genetic mutations

A general mathematical formulation for the age-structured population model with genetic mutations is given. The probability of genetic mutations are expressed by a matrix named the “mutation matrix”. The steady state of the Penna-type models with XOR- and OR-type mutations are analyzed. The mutation matrix of OR-type mutation turns out to be triangular, making an analytic treatment remarkably easier. Results about infinite bit-length limit are included.

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Year of publication:	1996
Authors:	Ito, Nobuyasu
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 232.1996, 1, p. 134-144
Publisher:	Elsevier
Subject:	Population dynamics \| Genetic mutation \| Death rate \| Penna model \| Mutational meltdown

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011063479