Communications in Mathematical Sciences

Volume 6 (2008)

Number 3

On selection dynamics for continuous structured populations

Pages: 729 – 747



Laurent Desvillettes

Pierre Emmanuel Jabin

Stéphane Mischler

Gaël Raoul


In this paper, we provide results about the long time behavior of integrodifferential equations appearing in the study of populations structured with respect to a quantitative (continuous) trait, which are submitted to selection (or competition).


Selection-competition; population dynamics; long time asymptotics

2010 Mathematics Subject Classification

45J05, 45M05, 92D15, 92D40

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