Génieys Stéphane, Volpert Vitaly, Auger Pierre
Institut Camille-Jordan, UMR 5208 CNRS, UFR de mathématiques, université Claude-Bernard-Lyon-1, 69622 Villeurbanne, France.
C R Biol. 2006 Nov;329(11):876-9. doi: 10.1016/j.crvi.2006.08.006. Epub 2006 Sep 20.
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.