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Impact of density-dependent migration flows on epidemic outbreaks in heterogeneous metapopulations

We investigate the role of migration patterns on the spread of epidemics in complex networks. We enhance the SIS-diffusion model on metapopulations to a nonlinear diffusion. Specifically, individuals move randomly over the network but at a rate depending on the population of the departure patch. In the absence of epidemics, the migration-driven equilibrium is described by quantifying the total number of individuals living in heavily or lightly populated areas. Our analytical approach reveals that strengthening the migration from populous areas contains the infection at the early stage of the epidemic. Moreover, depending on the exponent of the nonlinear diffusion rate, epidemic outbreaks do not always occur in the most populated areas as one might expect

This work is partially supported by grants MINECO MTM2011-27739-C04-03 and MTM2014-52402-C3-3-P (Spain). The authors are members of the research group 2014SGR-1083 of the Generalitat de Catalunya.

© Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 2015, vol. 92, núm. 2, p. 022809

American Physical Society

Author: Ripoll i Misse, Jordi
Avinyó Andrés, Albert
Pellicer Sabadí, Marta
Saldaña Meca, Joan
Date: 2015 August 12
Abstract: We investigate the role of migration patterns on the spread of epidemics in complex networks. We enhance the SIS-diffusion model on metapopulations to a nonlinear diffusion. Specifically, individuals move randomly over the network but at a rate depending on the population of the departure patch. In the absence of epidemics, the migration-driven equilibrium is described by quantifying the total number of individuals living in heavily or lightly populated areas. Our analytical approach reveals that strengthening the migration from populous areas contains the infection at the early stage of the epidemic. Moreover, depending on the exponent of the nonlinear diffusion rate, epidemic outbreaks do not always occur in the most populated areas as one might expect
This work is partially supported by grants MINECO MTM2011-27739-C04-03 and MTM2014-52402-C3-3-P (Spain). The authors are members of the research group 2014SGR-1083 of the Generalitat de Catalunya.
Format: application/pdf
ISSN: 1539-3755 (versió paper)
1550-2376 (versió electrònica)
Document access: http://hdl.handle.net/10256/10961
Language: eng
Publisher: American Physical Society
Collection: MICINN/PN 2012-2015/MTM2011-27739-C04-03
MINECO/PN 2015-2017/MTM2014-52402-C3-3-P
AGAUR/2014-2016/2014 SGR-1083
Reproducció digital del document publicat a: http://dx.doi.org/10.1103/PhysRevE.92.022809
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Is part of: © Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 2015, vol. 92, núm. 2, p. 022809
Rights: Tots els drets reservats
Subject: Epidèmies -- Models matemàtics
Epidemics -- Mathematical models
Anàlisi numèrica
Numerical analysis
Title: Impact of density-dependent migration flows on epidemic outbreaks in heterogeneous metapopulations
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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