Effects of demographic noise on the synchronization of a metapopulation in a fluctuating environment |
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Authors: | Lai Yi Ming Newby Jay Bressloff Paul C |
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Institution: | Mathematical Institute, University of Oxford, 24-26 St Giles, Oxford OX1 3LB, United Kingdom. |
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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. |
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