Small populations corrections for selection-mutation models

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5 Scopus citations


We consider integro-differential models describing the evolution of a population structured by a quantitative trait. Individuals interact competitively, creating a strong selection pressure on the population. On the other hand, mutations are assumed to be small. Following the formalism of [20], this creates concentration phenomena, typically consisting in a sum of Dirac masses slowly evolving in time. We propose a modification to those classical models that takes the effect of small populations into accounts and corrects some abnormal behaviours.

Original languageEnglish (US)
Pages (from-to)805-836
Number of pages32
JournalNetworks and Heterogeneous Media
Issue number4
StatePublished - 2012

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • General Engineering
  • Computer Science Applications
  • Applied Mathematics


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