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

Yi Ming Lai, Jay Newby, Paul C. Bressloff

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15 Scopus citations


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.
Original languageEnglish (US)
JournalPhysical Review Letters
Issue number11
StatePublished - Sep 8 2011
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This work was partially supported by King Abdullah University of Science and Technology Grant No. KUK-C1-013-04.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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