The evolution of moment generating functions for the Wright-Fisher model of population genetics

DOI10.1016/j.mbs.2014.07.007zbMath1346.92046arXiv1401.5219OpenAlexW1979076835WikidataQ51064100 ScholiaQ51064100MaRDI QIDQ464493

Tat Dat Tran, Julian Hofrichter, Juergen Jost

Publication date: 27 October 2014

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.5219

zbMATH Keywords

population geneticsmaster equationmoment generating functionWright-Fisher modelrandom genetic drift

Mathematics Subject Classification ID

Diffusion processes (60J60) Genetics and epigenetics (92D10) Continuous-time Markov processes on discrete state spaces (60J27) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (2)

Ergodicity of scalar stochastic differential equations with Hölder continuous coefficients ⋮ The uniqueness of hierarchically extended backward solutions of the Wright–Fisher model

Uses Software

• DLMF

Cites Work

• Unnamed Item
• A hierarchical extension scheme for solutions of the Wright-Fisher model
• Fixation probability with multiple alleles and projected average allelic effect on selection
• Loss of variability at one locus in a finite population
• Mathematical population genetics. I: Theoretical introduction.
• Mathematical methods in biology and neurobiology
• The Decay of Genetic Variability in Geographically Structured Populations
• SOLUTION OF A PROCESS OF RANDOM GENETIC DRIFT WITH A CONTINUOUS MODEL
• Handbook of stochastic methods for physics, chemistry and the natural sciences.

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