Phase switching in population cycles

S. M. Henson; J. M. Cushing; R. F. Costantino; B. Dennis; R. A. Desharnais

doi:10.1098/rspb.1998.0564

Phase switching in population cycles

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

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

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 language	English (US)
Pages (from-to)	2229-2234
Number of pages	6
Journal	Proceedings of the Royal Society B: Biological Sciences
Volume	265
Issue number	1411
DOIs	https://doi.org/10.1098/rspb.1998.0564
State	Published - Nov 22 1998

Keywords

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

ASJC Scopus subject areas

General Biochemistry, Genetics and Molecular Biology
General Immunology and Microbiology
General Environmental Science
General Agricultural and Biological Sciences

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10.1098/rspb.1998.0564

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keywords = "Basins of attraction, Nonlinear population dynamics, Periodic time-series, Phase switching, Stochasticity, Tribolium",

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AU - Cushing, J. M.

AU - Costantino, R. F.

AU - Dennis, B.

AU - Desharnais, R. A.

PY - 1998/11/22

Y1 - 1998/11/22

N2 - 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.

AB - 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.

KW - Basins of attraction

KW - Nonlinear population dynamics

KW - Periodic time-series

KW - Phase switching

KW - Stochasticity

KW - Tribolium

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Phase switching in population cycles

Abstract

Keywords

ASJC Scopus subject areas

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