The Mathematical Institute, University of Oxford, Eprints Archive

Effects of demographic noise on the synchronization of a metapopulation in a fluctuating environment

Lai, Y. M. and Newby, J. M. and Bressloff, P. C. (2011) Effects of demographic noise on the synchronization of a metapopulation in a fluctuating environment. Physical Review Letters . (Submitted)

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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.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1433
Deposited By:Peter Hudston
Deposited On:15 Nov 2011 08:37
Last Modified:09 Feb 2012 13:54

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