Fisher equation with turbulence in one dimension

Details Fisher equation with turbulence in one dimension Fisher equation with turbulence in one dimension

2009-02-02

arxiv.org/abs/0902.0313v1

Biology

Quantitative Biology

Populations and Evolution

15 pages

Scientific paper

We investigate the dynamics of the Fisher equation for the spreading of micro-organisms in one dimension subject to both turbulent convection and diffusion. We show that for strong enough turbulence, bacteria, for example, track in a quasilocalized fashion (with remakably long persistance times) sinks in the turbulent field. An important consequence is a large reduction in the carrying capacity of the fluid medium. We determine analytically the regimes where this quasi-localized behavior occurs and test our predictions by numerical simulations.

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