Competing populations in flows with chaotic mixing.

We investigate the effects of spatial heterogeneity on the coexistence of competing species in the case when the heterogeneity is dynamically generated by environmental flows with chaotic mixing properties. We show that one effect of chaotic advection on the passively advected species (such as phytoplankton, or self-replicating macro-molecules) is the possibility of coexistence of more species than that limited by the number of niches they occupy. We derive a novel set of dynamical equations for competing populations.

• Publication year

  2001

• Venue

  Theoretical Population Biology

• Publication date

  2001-08-06

• Fields of study

  Biology, Medicine, Physics, Environmental Science

• Identifiers
  DOI 10.1016/S0040-5809(02)00035-7arXiv nlin/0108007PMID 12615492
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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• Selforganization of matter and the evolution of biological macromolecules

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