Bounding the quality of stochastic oscillations in population models View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2007-12

AUTHORS

S. Risau-Gusman, G. Abramson

ABSTRACT

We analyze general two-species stochastic models, of the kind generally used for the study of population dynamics. Although usually defined a priori, the deterministic version of these models can be obtained as the infinite volume limit of many stochastic models (which are necessarily defined by more parameters than the deterministic one). It is known that damped oscillations in a deterministic model usually correspond to oscillatory-like fluctuations in their deterministic counterparts. The quality of these “oscillations" depends on details of each stochastic model. We show, however, that the parameters of the deterministic system are generally enough to obtain very good bounds for the quality of “oscillations" in any of its stochastic counterparts. These bounds are shown to depend on only one dimensionless parameter. More... »

PAGES

515-520

References to SciGraph publications

  • 2003-03. Survival and extinction in cyclic and neutral three-species systems in THE EUROPEAN PHYSICAL JOURNAL E
  • 1985-03. Noisy precursors of nonlinear instabilities in JOURNAL OF STATISTICAL PHYSICS
  • 1976-09. A simple mechanism for population cycles in NATURE
  • Journal

    TITLE

    The European Physical Journal B

    ISSUE

    4

    VOLUME

    60

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1140/epjb/e2008-00011-7

    DOI

    http://dx.doi.org/10.1140/epjb/e2008-00011-7

    DIMENSIONS

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