Incompatibility Alleles; Characteristics of a 1-Locus System
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/793790c0-5034-4bbd-84b6-81e9732eb1fe
- author
- Hagander, Per LU and Johansson, Lars
- organization
- publishing date
- 1974
- 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}}, }