Analytic approach for age-structured populations with genetic mutations

Nobuyasu Ito

Physica A: Statistical Mechanics and its Applications, 1996, vol. 232, issue 1, 134-144

Abstract: 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.

Keywords: Population dynamics; Genetic mutation; Death rate; Penna model; Mutational meltdown (search for similar items in EconPapers)
Date: 1996
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:232:y:1996:i:1:p:134-144

DOI: 10.1016/0378-4371(96)00132-X

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