Dispersal and noise: Various modes of synchrony in ecological oscillators

Paul C. Bressloff, Yi Ming Lai

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We use the theory of noise-induced phase synchronization to analyze the effects of dispersal on the synchronization of a pair of predator-prey systems within a fluctuating environment (Moran effect). Assuming that each isolated local population acts as a limit cycle oscillator in the deterministic limit, we use phase reduction and averaging methods to derive a Fokker-Planck equation describing the evolution of the probability density for pairwise phase differences between the oscillators. In the case of common environmental noise, the oscillators ultimately synchronize. However the approach to synchrony depends on whether or not dispersal in the absence of noise supports any stable asynchronous states. We also show how the combination of partially correlated noise with dispersal can lead to a multistable steady-state probability density. © 2012 Springer-Verlag Berlin Heidelberg.
Original languageEnglish (US)
Pages (from-to)1669-1690
Number of pages22
JournalJournal of Mathematical Biology
Issue number6-7
StatePublished - Oct 21 2012
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This publication was based on work supported in part by the National Science Foundation (DMS-1120327) and the King Abdullah University of Science and Technology Award No. KUK-C1-013-04.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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