Random collision model for random genetic drift and stochastic difference equation

DOI10.1007/BF02481975zbMath0563.92011OpenAlexW2079609968MaRDI QIDQ1057792

Yoshiaki Itoh

Publication date: 1984

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02481975

zbMATH Keywords

population geneticsMonte Carlo simulationrandom genetic driftmutationstochastic difference equationsoverdominant selectionapproximately asymptotic time-average heterozigosityfitness schemesone-locus multiallelic genetic modelrandom collision modelWright-Kimura infinite allele model

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Genetics and epigenetics (92D10) Stochastic analysis (60H99) Probabilistic methods, stochastic differential equations (65C99)

Cites Work

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• Stochastic theory of population genetics
• On a ruin problem with interaction
• Non-associative algebra and Lotka-Volterra equation with ternary interaction
• An $H$-theorem for a system of competing species
• Random collision models in oriented graphs

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