Gael Raoul

(ENS-Cachan, France)

Kimura's model: An integro-differential model to study evolution

Kimura's model is a simple intero-differential model used by theoretical biologists to study evolution. Simulations for this model can be run, and they show that that the population usually converges to a finite sum of Dirac Masses. This phenomenon is interpreted by biologists as a speciation process. We study the stability of such populations, and link our results to other existing theories used by biologists to study evolution.