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Cybernetics and Systems Analysis

, Volume 55, Issue 2, pp 253–258 | Cite as

Equilibrium in Wright–Fisher Models of Population Genetics

  • D. KorolioukEmail author
  • V. S. Koroliuk
Article
  • 2 Downloads

Abstract

For multivariant Wright–Fisher models in population genetics, we introduce equilibrium states, expressed by fluctuations of probability ratio, in contrast to the traditionally used fluctuations, expressed by the difference between the current value of the random process and its equilibrium value. Then the drift component of the dynamic process of gene frequencies, primarily expressed as a ratio of two quadratic forms, is transformed into a cubic parabola with a certain normalization factor.

Keywords

Wright–Fisher model population genetics evolutionary process equilibrium state fluctuations of probability ratio 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Telecommunications and Global Information Space, National Academy of Sciences of UkraineKyivUkraine
  2. 2.Institute of Mathematics, National Academy of Sciences of UkraineKyivUkraine

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