Effects of Demographic Noise on the Synchronization of a Metapopulation in a Fluctuating Environment

Yi Ming Lai; Jay Newby; Paul C. Bressloff

doi:10.1103/physrevlett.107.118102

Effects of Demographic Noise on the Synchronization of a Metapopulation in a Fluctuating Environment

Yi Ming Lai, Jay Newby, Paul C. Bressloff

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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. © 2011 American Physical Society.

Original language	English (US)
Journal	Physical Review Letters
Volume	107
Issue number	11
DOIs	https://doi.org/10.1103/physrevlett.107.118102
State	Published - Sep 8 2011
Externally published	Yes

Bibliographical note

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

Access to Document

10.1103/physrevlett.107.118102

Cite this

@article{fc4668a065b44062b7e604ca25795e71,

title = "Effects of Demographic Noise on the Synchronization of a Metapopulation in a Fluctuating Environment",

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. {\textcopyright} 2011 American Physical Society.",

author = "Lai, {Yi Ming} and Jay Newby and Bressloff, {Paul C.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUK-C1-013-04 Acknowledgements: This work was partially supported by King Abdullah University of Science and Technology Grant No. KUK-C1-013-04. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2011",

month = sep,

day = "8",

doi = "10.1103/physrevlett.107.118102",

language = "English (US)",

volume = "107",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "11",

}

TY - JOUR

T1 - Effects of Demographic Noise on the Synchronization of a Metapopulation in a Fluctuating Environment

AU - Lai, Yi Ming

AU - Newby, Jay

AU - Bressloff, Paul C.

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUK-C1-013-04 Acknowledgements: This work was partially supported by King Abdullah University of Science and Technology Grant No. KUK-C1-013-04. This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2011/9/8

Y1 - 2011/9/8

N2 - 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. © 2011 American Physical Society.

AB - 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. © 2011 American Physical Society.

UR - http://hdl.handle.net/10754/598076

UR - https://link.aps.org/doi/10.1103/PhysRevLett.107.118102

UR - http://www.scopus.com/inward/record.url?scp=80052446087&partnerID=8YFLogxK

U2 - 10.1103/physrevlett.107.118102

DO - 10.1103/physrevlett.107.118102

M3 - Article

C2 - 22026705

SN - 0031-9007

VL - 107

JO - Physical Review Letters

JF - Physical Review Letters

IS - 11

ER -

Effects of Demographic Noise on the Synchronization of a Metapopulation in a Fluctuating Environment

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this