Features of Fast Living: On the Weak Selection for Longevity in Degenerate Birth-Death Processes View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2012-09

AUTHORS

Yen Ting Lin, Hyejin Kim, Charles R. Doering

ABSTRACT

Deterministic descriptions of dynamics of competing species with identical carrying capacities but distinct birth, death, and reproduction rates predict steady state coexistence with population ratios depending on initial conditions. Demographic fluctuations described by a Markovian birth-death model break this degeneracy. A novel large carrying capacity asymptotic theory confirmed by conventional analysis and simulations reveals a weak preference for longevity in the deterministic limit with finite-time extinction of one of the competitors on a time scale proportional to the total carrying capacity. More... »

PAGES

647-663

References to SciGraph publications

  • 1998-07. The evolution of slow dispersal rates: a reaction diffusion model in JOURNAL OF MATHEMATICAL BIOLOGY
  • 2010-10. Mean Extinction Time in Predator-Prey Model in JOURNAL OF STATISTICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10955-012-0479-9

    DOI

    http://dx.doi.org/10.1007/s10955-012-0479-9

    DIMENSIONS

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