Bulletin of Mathematical Biology

, Volume 48, Issue 1, pp 87–95 | Cite as

Existence of steady-state probability distributions in multilocus models for genotype evolution

  • Gerald Rosen
Article
  • 47 Downloads

Abstract

It is shown that a representative Fisher-Wright model withn(≥3) diallelic loci admits a necessary condition for existence of a time-independent steady-state probability distribution. This necessary condition states that a global integral depending on the phenotype fitness functions of natural selection must be larger than a certain quantity depending on the parameters associated with genetic drift.

Keywords

Genetic Drift Kolmogorov Equation Diallelic Locus Relative Allele Frequency Multilocus Model 

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Copyright information

© Society for Mathematical Biology 1986

Authors and Affiliations

  • Gerald Rosen
    • 1
  1. 1.Department of PhysicsDrexel UniversityPhiladelphiaU.S.A.

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