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Analytic approach for age-structured populations with genetic mutations

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  • Ito, Nobuyasu

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.

Suggested Citation

  • Ito, Nobuyasu, 1996. "Analytic approach for age-structured populations with genetic mutations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 134-144.
    • Handle: RePEc:eee:phsmap:v:232:y:1996:i:1:p:134-144
    DOI: 10.1016/0378-4371(96)00132-X
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    Cited by:

    1. Keesen, Fabíola & Castro e Silva, Alcides & Pinheiro, Carlos Felipe S. & Arashiro, Everaldo & Ligeiro, Yan & Grelle, Carlos Eduardo de Viveiros, 2023. "New applications of an old individual-based model for biological dynamics," Ecological Modelling, Elsevier, vol. 476(C).

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