Population dynamics in compressible flows
arXiv:1203.6319 · doi:10.1140/epjst/e2012-01552-0
Abstract
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
16 pages, talk delivered at the Geilo Winter School 2011
References in corpus (4)
Cited by in corpus (13)
- Turbulent fluid acceleration generates clusters of gyrotactic microorganisms
- Growth, competition and cooperation in spatial population genetics
- How turbulence regulates biodiversity in systems with cyclic competition
- Fast flowing populations are not well mixed
- Spreading of non-motile bacteria on a hard agar plate: Comparison between agent-based and stochastic simulations
- Clustering of vertically constrained passive particles in homogeneous, isotropic turbulence
- Striated Populations in Disordered Environments with Advection
- Two-loop calculation of anomalous kinetics of the reaction in randomly stirred fluid
- Motion, fixation probability and the choice of an evolutionary process
- Time scales and species coexistence in chaotic flows
- Scale-dependent co-localization in a population of gyrotactic swimmers
- Flow spatial structure determines pattern instabilities in nonlocal models of population dynamics
- Discrete Eulerian model for population genetics and dynamics under flow