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Hatvani, L.* ; Toókos, F. ; Tusnady, G.*

A mutation-selection-recombination model in population genetics.

Dyn. Syst. Appl. 18, 335-361 (2009)
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We construct a new continuous time select ion-mutation-recombination model for population dynamics, which describes the development of the distribution of the different gametes in the population. We show that cyclic mutation rates can result in stable and unstable limit cycles due to Hopf bifurcation. In addition, we give a qualitative characterization of the whole dynamics in the simplex, which is the phase space of the system. If only selection acts, then Fisher's Fundamental Law is valid: the mean fitness is a Lyapunov function and every orbit converges to some rest point.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
ISSN (print) / ISBN 1056-2176
Quellenangaben Band: 18, Heft: 2, Seiten: 335-361 Artikelnummer: , Supplement: ,
Verlag Dynamic Publishers, Inc.
Begutachtungsstatus Peer reviewed