Effects of demographic noise on the synchronization of a metapopulation in a fluctuating environment
File(s)
Published version
Author(s)
Lai, Yi Ming
Newby, Jay
Bressloff, Paul C
Type
Journal Article
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.
Date Issued
2011-09-09
Date Acceptance
2011-09-01
Citation
Physical Review Letters, 2011, 107 (11)
ISSN
0031-9007
Publisher
American Physical Society (APS)
Journal / Book Title
Physical Review Letters
Volume
107
Issue
11
Copyright Statement
© 2011 American Physical Society
Identifier
http://dx.doi.org/10.1103/physrevlett.107.118102
Publication Status
Published
Article Number
118102
Date Publish Online
2011-09-08