Effects of Demographic Noise on the Synchronization of a Metapopulation in a Fluctuating Environment

Handle URI:
http://hdl.handle.net/10754/598076
Title:
Effects of Demographic Noise on the Synchronization of a Metapopulation in a Fluctuating Environment
Authors:
Lai, Yi Ming; Newby, Jay; Bressloff, Paul C.
Abstract:
We use the theory of noise-induced phase synchronization to analyze the effects of demographic noise on the synchronization of a metapopulation of predator-prey systems within a fluctuating environment (Moran effect). Treating each local predator-prey population as a stochastic urn model, we derive a Langevin equation for the stochastic dynamics of the metapopulation. Assuming each local population acts as a limit cycle oscillator in the deterministic limit, we use phase reduction and averaging methods to derive the steady-state probability density for pairwise phase differences between oscillators, which is then used to determine the degree of synchronization of the metapopulation. © 2011 American Physical Society.
Citation:
Lai YM, Newby J, Bressloff PC (2011) Effects of Demographic Noise on the Synchronization of a Metapopulation in a Fluctuating Environment. Physical Review Letters 107. Available: http://dx.doi.org/10.1103/physrevlett.107.118102.
Publisher:
American Physical Society (APS)
Journal:
Physical Review Letters
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
8-Sep-2011
DOI:
10.1103/physrevlett.107.118102
PubMed ID:
22026705
Type:
Article
ISSN:
0031-9007; 1079-7114
Sponsors:
This work was partially supported by King Abdullah University of Science and Technology Grant No. KUK-C1-013-04.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorLai, Yi Mingen
dc.contributor.authorNewby, Jayen
dc.contributor.authorBressloff, Paul C.en
dc.date.accessioned2016-02-25T13:12:12Zen
dc.date.available2016-02-25T13:12:12Zen
dc.date.issued2011-09-08en
dc.identifier.citationLai YM, Newby J, Bressloff PC (2011) Effects of Demographic Noise on the Synchronization of a Metapopulation in a Fluctuating Environment. Physical Review Letters 107. Available: http://dx.doi.org/10.1103/physrevlett.107.118102.en
dc.identifier.issn0031-9007en
dc.identifier.issn1079-7114en
dc.identifier.pmid22026705en
dc.identifier.doi10.1103/physrevlett.107.118102en
dc.identifier.urihttp://hdl.handle.net/10754/598076en
dc.description.abstractWe use the theory of noise-induced phase synchronization to analyze the effects of demographic noise on the synchronization of a metapopulation of predator-prey systems within a fluctuating environment (Moran effect). Treating each local predator-prey population as a stochastic urn model, we derive a Langevin equation for the stochastic dynamics of the metapopulation. Assuming each local population acts as a limit cycle oscillator in the deterministic limit, we use phase reduction and averaging methods to derive the steady-state probability density for pairwise phase differences between oscillators, which is then used to determine the degree of synchronization of the metapopulation. © 2011 American Physical Society.en
dc.description.sponsorshipThis work was partially supported by King Abdullah University of Science and Technology Grant No. KUK-C1-013-04.en
dc.publisherAmerican Physical Society (APS)en
dc.titleEffects of Demographic Noise on the Synchronization of a Metapopulation in a Fluctuating Environmenten
dc.typeArticleen
dc.identifier.journalPhysical Review Lettersen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionUniversity of Utah, Salt Lake City, United Statesen
kaust.grant.numberKUK-C1-013-04en
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