Population dynamics in compressible flows

The European Physical Journal Special Topics - Tập 204 - Trang 57-73 - 2012
R. Benzi1, M. H. Jensen2, D. R. Nelson3, P. Perlekar4,5, S. Pigolotti6, F. Toschi4
1Dip. di Fisica and INFN, Università “Tor Vergata”, Roma, Italy
2The Niels Bohr Institut, Copenhagen, Denmark
3Lyman Laboratory of Physics, Harvard University, Cambridge, USA
4Department of Physics, Department of Mathematics and Computer Science, and J.M. Burgerscentrum, Eindhoven University of Technology, Eindhoven, The Netherlands
5International Collaboration for Turbulence Research, Eindhoven, The Netherlands
6Dept. de Fisica i Eng. Nuclear, Universitat Politecnica de Catalunya Edif. GAIA, Terrassa, Barcelona, Spain

Tóm tắt

Organisms often grow, migrate and compete in liquid environments, as well as on solid surfaces. However, relatively little is known about what happens when competing species are mixed and compressed by fluid turbulence. In these lectures we review our recent work on population dynamics and population genetics in compressible velocity fields of one and two dimensions. We discuss why compressible turbulence is relevant for population dynamics in the ocean and we consider cases both where the velocity field is turbulent and when it is static. Furthermore, we investigate populations in terms of a continuos density field and when the populations are treated via discrete particles. In the last case we focus on the competition and fixation of one species compared to another.

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