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Incompatibility Alleles; Characteristics of a 1-Locus System

Hagander, Per LU and Johansson, Lars (1974) In Mathematical Biosciences 20. p.145-154
Abstract
The 1-locus incompatibility system that is usually assumed to be present in the red clover is investigated. The allele fluctuations from one generation to the other are demonstrated. A mathematical state model is deduced for arbitrary numbers of alleles in the population, and its steady-state behaviour and stability are discussed. The eigenvalues of the linearized models as well as simulations show that the large systems react slowly to disturbances while the three-allele system oscillates around its equilibrium.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Mathematical Biosciences
volume
20
pages
145 - 154
publisher
Elsevier
external identifiers
  • scopus:0016161588
ISSN
0025-5564
DOI
10.1016/0025-5564(74)90074-1
language
English
LU publication?
yes
id
793790c0-5034-4bbd-84b6-81e9732eb1fe
date added to LUP
2016-06-24 14:40:00
date last changed
2021-01-03 03:51:11
@article{793790c0-5034-4bbd-84b6-81e9732eb1fe,
  abstract     = {{The 1-locus incompatibility system that is usually assumed to be present in the red clover is investigated. The allele fluctuations from one generation to the other are demonstrated. A mathematical state model is deduced for arbitrary numbers of alleles in the population, and its steady-state behaviour and stability are discussed. The eigenvalues of the linearized models as well as simulations show that the large systems react slowly to disturbances while the three-allele system oscillates around its equilibrium.}},
  author       = {{Hagander, Per and Johansson, Lars}},
  issn         = {{0025-5564}},
  language     = {{eng}},
  pages        = {{145--154}},
  publisher    = {{Elsevier}},
  series       = {{Mathematical Biosciences}},
  title        = {{Incompatibility Alleles; Characteristics of a 1-Locus System}},
  url          = {{https://lup.lub.lu.se/search/files/22839045/hag_joh74.pdf}},
  doi          = {{10.1016/0025-5564(74)90074-1}},
  volume       = {{20}},
  year         = {{1974}},
}