by
Prasad Perlekar(Eindhoven University of Technology)
→
Europe/Stockholm
Description
Population dynamics deals with the study of birth, death and growth
processes of biological
species. These processes are severely affected by the local
ecosystems, by the presence of
nutrients, and by the local population density. Turbulence is
normally known to increases mix-
ing and diffusion; but, remarkably, population dynamics in a
turbulent environment shows the
localization (e.g. patchy regions of planktons on the ocean surface).
We study the statistical properties of population dynamics evolving
in a realistic two-
dimensional compressible turbulent velocity field. The mixing of the
populations in turbu-
lent environment is characterized by the local carrying capacity. We
investigate the com-
plex interplay between turbulent dynamics and population evolution
equation leads to pseudo-
localization of population concentration. The statistical properties
of the concentration field
are investigated and quantified. Most important we demonstrated
numerically that the limit of
negligibly small growth rates is non singular.
Reference: arXiv:1006.3204v1
