The Periodic Patch Model for Population Dynamics with Fractional Diffusion

نویسندگان

  • Henri Berestycki
  • Jean-Michel Roquejoffre
  • Luca Rossi
چکیده

Fractional diffusions arise in the study of models from population dynamics. In this paper, we derive a class of integro-differential reactiondiffusion 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.

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تاریخ انتشار 2010