Simone Pigolotti, Roberto Benzi
We study a stochastic spatial model of biological competition in which two species have the same birth and death rates, but different diffusion constant. We show that even a relative difference in diffusivity on the order of a few percent may lead to a strong bias in the coarsening process favoring the more agile species. We quantify this selective advantage theoretically and present analytical formulas for the average growth of the fastest species and its fixation probability. Finally, we show that advection by an incompressible flow does not alter our result, provided the turbulent scale is sufficiently large, while introducing a compressible flow significantly dampens the effect.
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http://arxiv.org/abs/1307.8252
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