Bressloff, P. C. and Lai, Y. M.
(2012)
Dispersal and noise: Various modes of synchrony in
ecological oscillators.
Journal of Mathematical Biology
.
(Submitted)

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Abstract
We use the theory of noiseinduced phase synchronization to analyze the effects of dispersal on the synchronization of a pair of predatorprey 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 correlated (shared) and uncorrelated (unshared) noise with dispersal can lead to a multistable
steadystate probability density.
Item Type:  Article 

Subjects:  D  G > General 
Research Groups:  Oxford Centre for Collaborative Applied Mathematics 
ID Code:  1539 
Deposited By:  Peter Hudston 
Deposited On:  04 Jul 2012 08:06 
Last Modified:  29 May 2015 19:14 
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