[1202.6230v2] Phase lag in epidemics on a network of cities

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Quantitative Biology > Populations and Evolution

arXiv:1202.6230v2 (q-bio)
[Submitted on 28 Feb 2012 (v1), last revised 17 May 2012 (this version, v2)]

Title:Phase lag in epidemics on a network of cities

Authors:G. Rozhnova, A. Nunes, A. J. McKane
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Abstract:We study the synchronisation and phase-lag of fluctuations in the number of infected individuals in a network of cities between which individuals commute. The frequency and amplitude of these oscillations is known to be very well captured by the van Kampen system-size expansion, and we use this approximation to compute the complex coherence function that describes their correlation. We find that, if the infection rate differs from city to city and the coupling between them is not too strong, these oscillations are synchronised with a well defined phase lag between cities. The analytic description of the effect is shown to be in good agreement with the results of stochastic simulations for realistic population sizes.
Comments: 10 pages, 6 figures
Subjects: Populations and Evolution (q-bio.PE); Statistical Mechanics (cond-mat.stat-mech); Adaptation and Self-Organizing Systems (nlin.AO); Biological Physics (physics.bio-ph)
Cite as: arXiv:1202.6230 [q-bio.PE]
  (or arXiv:1202.6230v2 [q-bio.PE] for this version)
  https://doi.org/10.48550/arXiv.1202.6230
Journal reference: Phys. Rev. E 85, 051912 (2012)
Related DOI: https://doi.org/10.1103/PhysRevE.85.051912

Submission history

From: Ganna Rozhnova [view email]
[v1] Tue, 28 Feb 2012 14:14:05 UTC (532 KB)
[v2] Thu, 17 May 2012 20:04:55 UTC (532 KB)
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