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hal.structure.identifierLaboratoire de Mathématiques Raphaël Salem [LMRS]
dc.contributor.authorALFARO, Matthieu
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorGRIETTE, Quentin
hal.structure.identifierBiologie évolutive et écologie des algues = Evolutionary Biology and Ecology of Algae [EBEA]
dc.contributor.authorROZE, Denis
hal.structure.identifierLaboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
dc.contributor.authorSARELS, Benoît
dc.date.accessioned2024-04-04T02:46:57Z
dc.date.available2024-04-04T02:46:57Z
dc.date.issued2022-02
dc.identifier.issn0303-6812
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191599
dc.description.abstractEnWe 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".
dc.description.sponsorshipModèles intégro-différentiels venant de la biologie évolutive - ANR-20-CE40-0011
dc.language.isoen
dc.publisherSpringer
dc.subject.engenetic incompatibilities
dc.subject.enheterozygote inferior case
dc.subject.enquasi linkage equilibrium
dc.subject.enperturbation analysis
dc.subject.enunderdominance
dc.subject.entraveling wave
dc.subject.enstanding wave
dc.title.enThe spatio-temporal dynamics of interacting genetic incompatibilities. Part I: The case of stacked underdominant clines
dc.typeArticle de revue
dc.identifier.doi10.1007/s00285-022-01722-6
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Mathematical Biology
bordeaux.page20
bordeaux.volume84
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue3
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03109887
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03109887v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Biology&rft.date=2022-02&rft.volume=84&rft.issue=3&rft.spage=20&rft.epage=20&rft.eissn=0303-6812&rft.issn=0303-6812&rft.au=ALFARO,%20Matthieu&GRIETTE,%20Quentin&ROZE,%20Denis&SARELS,%20Beno%C3%AEt&rft.genre=article


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