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Bounding the quality of stochastic oscillations in population models

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  • 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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • S. Risau-Gusman & G. Abramson, 2007. "Bounding the quality of stochastic oscillations in population models," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 60(4), pages 515-520, December.
    • Handle: RePEc:spr:eurphb:v:60:y:2007:i:4:p:515-520
    DOI: 10.1140/epjb/e2008-00011-7
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    Cited by:

    1. Assis, Vladimir R.V. & Copelli, Mauro, 2012. "Collective behavior of coupled nonuniform stochastic oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1900-1906.

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