ALFARO, Matthieu; GRIETTE, Quentin; ROZE, Denis; SARELS, Benoît

doi:10.1007/s00285-022-01722-6

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ALFARO, Matthieu
Laboratoire de Mathématiques Raphaël Salem [LMRS]

GRIETTE, Quentin
Institut de Mathématiques de Bordeaux [IMB]

ROZE, Denis
Biologie évolutive et écologie des algues = Evolutionary Biology and Ecology of Algae [EBEA]

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Ce document a été publié dans

Journal of Mathematical Biology. 2022-02, vol. 84, n° 3, p. 20

Springer

Résumé en anglais

We explore the interaction between two genetic incompatibilities (underdominant loci in diploid organisms) in a population occupying a one-dimensional space.We derive a system of partial differential equations describing the dynamics of allele frequencies and linkage disequilibrium between the two loci, and use a quasi-linkage equilibrium approximation in order to reduce the number of variables.We investigate the solutions of this system and demonstrate the existence of a solution in which the two clines in allele frequency remain stacked together. In the case of asymmetric incompatibilities (i.e. when one homozygote is favored over the other at each locus), these stacked clines propagate in the form of a traveling wave. We obtain an approximation for the speed of this wave which, in particular, is decreased by recombination between the two loci but is always larger than the speed of "one cline alone".< Réduire

Mots clés en anglais

genetic incompatibilities

heterozygote inferior case

quasi linkage equilibrium

perturbation analysis

underdominance

traveling wave

standing wave

URI

https://oskar-bordeaux.fr/handle/20.500.12278/191599

DOI

http://dx.doi.org/10.1007/s00285-022-01722-6

Project ANR

Modèles intégro-différentiels venant de la biologie évolutive - ANR-20-CE40-0011

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Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251