On selection dynamics for competitive interactions

Pierre Emmanuel Jabin, Gaël Raoul

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we are interested in an integro-differential model that describe the evolution of a population structured with respect to a continuous trait. Under some assumption, we are able to find an entropy for the system, and show that some steady solutions are globally stable. The stability conditions we find are coherent with those of Adaptive Dynamics.

Original languageEnglish
Pages (from-to)493-517
Number of pages25
JournalJournal of Mathematical Biology
Volume63
Issue number3
DOIs
Publication statusPublished - 1 Sept 2011
Externally publishedYes

Keywords

  • Adaptive dynamics
  • Asymptotic analysis
  • ESS
  • Integro-differential equation

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