Small mutation rate and evolutionarily stable strategies in infinite dimensional adaptive dynamics.
An integrodifferential equations model for the distribution of individuals with respect to the age at maturity is considered. Mutation is modeled by an integral operator. Results concerning the behaviour of the steady states and their relation to evolutionarily stable strategies when the mutation rate is small are given. The same results are obtained for a (rather) general class of models that include the one mentioned before.
Calsina
Angel
A
Departament d'Informàtica i Matemàtica Aplicada--Campus Montilivi--Universitat de Girona, 17071, Girona, Spain. acalsina@ima.udg.es
Cuadrado
Sílvia
S
D017677:Age Distribution; D000465:Algorithms; D000483:Alleles; D000818:Animals; D001723:Birth Rate; D017753:Ecosystem; D019143:Evolution, Molecular; D005716:Game Theory; D006801:Humans; D008957:Models, Genetic; D009154:Mutation / Q000235:genetics*; D010641:Phenotype; D011156:Population Density; D011157:Population Dynamics; D019655:Quantitative Trait, Heritable; D012641:Selection, Genetic