The periodic patch model for population dynamics with fractional diffusion
Henri Berestycki - Ecole des Hautes Etudes en Sciences Sociales, CAMS, 54, bd Raspail F-75270 Paris, France (email)
Abstract: Fractional diffusions arise in the study of models from population dynamics. In this paper, we derive a class of integro-differential reaction-diffusion equations from simple principles. We then prove an approximation result for the first eigenvalue of linear integro-differential operators of the fractional diffusion type, and we study from that the dynamics of a population in a fragmented environment with fractional diffusion.
Keywords: Fractional diffusion, reaction-diffusion equation, KPP
Received: May 2010; Published: October 2010.