title: Adaptive dynamics: Modelling Darwin's divergence principle.
abstract: A model illustrating Darwin's divergence principle is presented. It shows how competition for resources can explain evolutionary branching. It is based on an assumption of degenerate competition. Mathematically, it is a partial differential equation with an integral term, and it describes a new mechanism of self-organization.
authors.affiliation: Institut Camille-Jordan, UMR 5208 CNRS, UFR de mathématiques, université Claude-Bernard-Lyon-1, 69622 Villeurbanne, France. genieys@math.univ-lyon1.fr
authors.forename: Stéphane
authors.initials: S
authors.lastname: Génieys
authors.forename: Vitaly
authors.initials: V
authors.lastname: Volpert
authors.forename: Pierre
authors.initials: P
authors.lastname: Auger
mesh_terms: D000220:Adaptation, Biological / Q000502:physiology*; D000465:Algorithms; D005075:Biological Evolution; D008954:Models, Biological; D015233:Models, Statistical