Phase switching in population cycles

S. M. Henson, Jim M Cushing, Robert F Costantino, B. Dennis, R. A. Desharnais

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

Oscillatory populations may exhibit a phase change in which, for example, a high-low periodic pattern switches to a low-high pattern. We propose that phase shifts correspond to stochastic jumps between basins of attraction in an appropriate phase space which associates the different phases of a periodic cycle with distinct attractors. This mechanism accounts for two-cycle phase shifts and the occurrence of asynchronous replicates in experimental cultures of Tribolium.

Original languageEnglish (US)
Pages (from-to)2229-2234
Number of pages6
JournalProceedings of the Royal Society B: Biological Sciences
Volume265
Issue number1411
StatePublished - Nov 22 1998

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experimental culture
Tribolium
population cycle
phase transition
Phase shift
basins
basin
Population
Switches

Keywords

  • Basins of attraction
  • Nonlinear population dynamics
  • Periodic time-series
  • Phase switching
  • Stochasticity
  • Tribolium

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Agricultural and Biological Sciences (miscellaneous)

Cite this

Phase switching in population cycles. / Henson, S. M.; Cushing, Jim M; Costantino, Robert F; Dennis, B.; Desharnais, R. A.

In: Proceedings of the Royal Society B: Biological Sciences, Vol. 265, No. 1411, 22.11.1998, p. 2229-2234.

Research output: Contribution to journalArticle

Henson, SM, Cushing, JM, Costantino, RF, Dennis, B & Desharnais, RA 1998, 'Phase switching in population cycles', Proceedings of the Royal Society B: Biological Sciences, vol. 265, no. 1411, pp. 2229-2234.
Henson, S. M. ; Cushing, Jim M ; Costantino, Robert F ; Dennis, B. ; Desharnais, R. A. / Phase switching in population cycles. In: Proceedings of the Royal Society B: Biological Sciences. 1998 ; Vol. 265, No. 1411. pp. 2229-2234.
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