Dispersal and noise: Various modes of synchrony in ecological oscillators
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ArticleAuthors
Bressloff, Paul C.Lai, Yi Ming
KAUST Grant Number
KUK-C1-013-04Date
2012-10-21Online Publication Date
2012-10-21Print Publication Date
2013-12Permanent link to this record
http://hdl.handle.net/10754/597997
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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.Citation
Bressloff PC, Lai YM (2012) Dispersal and noise: Various modes of synchrony in ecological oscillators. Journal of Mathematical Biology 67: 1669–1690. Available: http://dx.doi.org/10.1007/s00285-012-0607-9.Sponsors
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.Publisher
Springer NatureJournal
Journal of Mathematical BiologyPubMed ID
23086628ae974a485f413a2113503eed53cd6c53
10.1007/s00285-012-0607-9
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