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Stabilization of metapopulation cycles: Toward a classification scheme

Author

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  • Abta, Refael
  • Schiffer, Marcelo
  • Ben-Ishay, Avishag
  • Shnerb, Nadav M.

Abstract

The stability of population oscillations in ecological systems is considered. Experiments suggest that in many cases the single patch dynamics of predator–prey or host–parasite systems is extinction prone, and stability is achieved only when the spatial structure of the population is expressed via desynchronization between patches. A few mechanisms have been suggested so far to explain the inability of dispersal to synchronize the system. Here we compare a recently discovered mechanism, based on the dependence of the angular velocity on the oscillation amplitude, with other, already known conditions for desynchronization. Using a toy model composed of diffusively coupled oscillators we suggest a classification scheme for stability mechanisms, a scheme that allows for either a priori (based on the system parameters) or a posteriori (based on local measurements) identification of the dominant process that yields desynchronization.

Suggested Citation

  • Abta, Refael & Schiffer, Marcelo & Ben-Ishay, Avishag & Shnerb, Nadav M., 2008. "Stabilization of metapopulation cycles: Toward a classification scheme," Theoretical Population Biology, Elsevier, vol. 74(3), pages 273-282.
    • Handle: RePEc:eee:thpobi:v:74:y:2008:i:3:p:273-282
    DOI: 10.1016/j.tpb.2008.08.002
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    References listed on IDEAS

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    1. Stephen P. Ellner & Edward McCauley & Bruce E. Kendall & Cheryl J. Briggs & Parveiz R. Hosseini & Simon N. Wood & Arne Janssen & Maurice W. Sabelis & Peter Turchin & Roger M. Nisbet & William W. Murdo, 2001. "Habitat structure and population persistence in an experimental community," Nature, Nature, vol. 412(6846), pages 538-543, August.
    2. V.A.A. Jansen & K. Sigmund, 1998. "Shaken Not Stirred: On Permanence in Ecological Communities," Working Papers ir98101, International Institute for Applied Systems Analysis.
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    Cited by:

    1. Alexey V. Rusakov & Dmitry A. Tikhonov & Nailya I. Nurieva & Alexander B. Medvinsky, 2023. "Emergent Spatial–Temporal Patterns in a Ring of Locally Coupled Population Oscillators," Mathematics, MDPI, vol. 11(24), pages 1-15, December.

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