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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12 Scopus citations

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.
Original languageEnglish (US)
JournalPhysical Review Letters
Volume107
Issue number11
DOIs
StatePublished - Sep 8 2011
Externally publishedYes

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