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dc.contributor.authorMatessi, Carlo
dc.contributor.authorSchneider, Kristian
dc.date.accessioned2008-03-20T12:00:23Z
dc.date.accessioned2016-10-05T14:14:09Z
dc.date.available2008-03-20T12:00:23Z
dc.date.available2016-10-05T14:14:09Z
dc.date.issued2008-03-18
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1135
dc.descriptionResearch in Pairs 2008en_US
dc.description.abstractWe consider a model of frequency-dependent selection, to which we refer as the Wildcard Model, that accommodates as particular cases a number of diverse models of biologically specific situations. Two very different particular models (Lessard, 1984; Bürger, 2005; Schneider, 2006), subsumed by the Wildcard Model, have been shown in the past to have a Lyapunov functions (LF) under appropriate genetic assumptions. We show that the Wildcard Model: (i) in continuous time is a generalized gradient system for one locus, multiple alleles and for multiple loci, assuming linkage equilibrium, and its potential is a Lyapunov function; (ii) the LF of the particular models are special cases of the Wildcard Model's LF; (iii) the LF of the Wildcard Model can be derived from a LF previously identified for a model of density- and frequency- dependent selection due to Lotka-Volterra competition, with one locus, multiple alleles, multiple species and continuous-time dynamics (Matessi and Jayakar, 1981). We extend the LF with density and frequency dependence to a multilocus, linkage equilibrium dynamics.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2008,18
dc.titleQuantities that frequency-dependent selection maximizesen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2008-18
local.scientificprogramResearch in Pairs 2008
local.series.idOWP-2008-18
dc.identifier.urnurn:nbn:de:101:1-2008121515
dc.identifier.ppn164951168X


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