MULTILOCUS DYNAMICS UNDER HAPLOID SELECTION

Citation
V. Kirzhner et Y. Lyubich, MULTILOCUS DYNAMICS UNDER HAPLOID SELECTION, Journal of mathematical biology, 35(4), 1997, pp. 391-408
Citations number
14
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Biology Miscellaneous","Mathematics, Miscellaneous
ISSN journal
03036812
Volume
35
Issue
4
Year of publication
1997
Pages
391 - 408
Database
ISI
SICI code
0303-6812(1997)35:4<391:MDUHS>2.0.ZU;2-L
Abstract
A general haploid selection model with arbitrary number of multialleli c loci and arbitrary linkage distribution is considered. The populatio n is supposed to be panmictic. A dynamically equivalent diploid select ion model is introduced. There is a position effect in this model if t he original haploid selection is not multiplicative. If haploid select ion is additive then the fundamental theorem is established even with an estimate for the change in the mean fitness. On this basis exponent ial convergence to an equilibrium is proved. As rule, the limit states are single-gamete ones. If? moreover, linkage is tight, then the sing le-gamete state with maximal fitness attracts the population for almos t all initial states.