An analysis of neutral-alleles and variable-environment diffusion models

DOI10.1007/BF00275203zbMath0525.92010WikidataQ113909341 ScholiaQ113909341MaRDI QIDQ594002

Charles Tier

Publication date: 1981

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

population geneticsasymptotic analysistransient behaviorrandom genetic driftexpected amount of heterozygosityneutral-allelessymmetric mutationvariable- environment

Mathematics Subject Classification ID

Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Cites Work

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• The transition density for multiple neutral alleles
• A general model to account for enzyme variation in natural populations. V. The SAS-CFF model
• Asymptotic analysis of stochastic models in population genetics
• Random temporal variation in selection intensities acting on infinite diploid populations: Diffusion method analysis
• A tri-allelic diffusion model with selection, migration, and mutation
• Persistence of Dynamical Systems under Random Perturbations
• Diffusion approximations to linear stochastic difference equations with stationary coefficients
• A transition density expansion for a multi-allele diffusion model
• Genetic variability maintained in a finite population under mutation and autocorrelated random fluctuation of selection intensity
• A Tri-Allelic Diffusion Model with Selection
• Diffusion Processes in One Dimension

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