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dc.contributor.authorBressloff, Paul C.
dc.contributor.authorLai, Yi Ming
dc.date.accessioned2016-02-25T13:10:38Z
dc.date.available2016-02-25T13:10:38Z
dc.date.issued2012-10-21
dc.identifier.citationBressloff PC, Lai YM (2012) Dispersal and noise: Various modes of synchrony in ecological oscillators. Journal of Mathematical Biology 67: 1669–1690. Available: http://dx.doi.org/10.1007/s00285-012-0607-9.
dc.identifier.issn0303-6812
dc.identifier.issn1432-1416
dc.identifier.pmid23086628
dc.identifier.doi10.1007/s00285-012-0607-9
dc.identifier.urihttp://hdl.handle.net/10754/597997
dc.description.abstractWe use the theory of noise-induced phase synchronization to analyze the effects of dispersal on the synchronization of a pair of predator-prey systems within a fluctuating environment (Moran effect). Assuming that each isolated local population acts as a limit cycle oscillator in the deterministic limit, we use phase reduction and averaging methods to derive a Fokker-Planck equation describing the evolution of the probability density for pairwise phase differences between the oscillators. In the case of common environmental noise, the oscillators ultimately synchronize. However the approach to synchrony depends on whether or not dispersal in the absence of noise supports any stable asynchronous states. We also show how the combination of partially correlated noise with dispersal can lead to a multistable steady-state probability density. © 2012 Springer-Verlag Berlin Heidelberg.
dc.description.sponsorshipThis publication was based on work supported in part by the National Science Foundation (DMS-1120327) and the King Abdullah University of Science and Technology Award No. KUK-C1-013-04.
dc.publisherSpringer Nature
dc.subjectMetapopulations
dc.subjectMoran effect
dc.subjectNoise-induced synchronization
dc.subjectPredator-prey systems
dc.subjectStochastic population dynamics
dc.titleDispersal and noise: Various modes of synchrony in ecological oscillators
dc.typeArticle
dc.identifier.journalJournal of Mathematical Biology
dc.contributor.institutionUniversity of Utah, Salt Lake City, United States
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdom
kaust.grant.numberKUK-C1-013-04


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