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Epidemic spreading with awareness and different time scales in multiplex networks

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Ventura da Silva, Paulo Cesar, Velasquez-Rojas, Fatima, Connaughton, Colm, Vazquez, Federico, Moreno, Yamir and Rodrigues, Francisco A. (2019) Epidemic spreading with awareness and different time scales in multiplex networks. Physical Review E, 100 (3). 032313. doi:10.1103/PhysRevE.100.032313

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Official URL: https://doi.org/10.1103/PhysRevE.100.032313

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Abstract

One of the major issues in theoretical modeling of epidemic spreading is the development of methods to control the transmission of an infectious agent. Human behavior plays a fundamental role in the spreading dynamics and can be used to stop a disease from spreading or to reduce its burden, as individuals aware of the presence of a disease can take measures to reduce their exposure to contagion. In this paper, we propose a mathematical model for the spread of diseases with awareness in complex networks. Unlike previous models, the information is propagated following a generalized Maki-Thompson rumor model. Flexibility on the timescale between information and disease spreading is also included. We verify that the velocity characterizing the diffusion of information awareness greatly influences the disease prevalence. We also show that a reduction in the fraction of unaware individuals does not always imply a decrease of the prevalence, as the relative timescale between disease and awareness spreading plays a crucial role in the systems' dynamics. This result is shown to be independent of the network topology. We finally calculate the epidemic threshold of our model, and show that it does not depend on the relative timescale. Our results provide a new view on how information influence disease spreading and can be used for the development of more efficient methods for disease control.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
R Medicine > RA Public aspects of medicine
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Communicable diseases -- Epidemiology -- Mathematical models, Epidemics -- Mathematical models, Medical informatics, Mathematical models
Journal or Publication Title: Physical Review E
Publisher: American Physical Society
ISSN: 1539-3755
Official Date: 24 September 2019
Dates:
DateEvent
24 September 2019Published
5 September 2019Accepted
Volume: 100
Number: 3
Article Number: 032313
DOI: 10.1103/PhysRevE.100.032313
Status: Peer Reviewed
Publication Status: Published
Publisher Statement: © 2019 American Physical Society
Access rights to Published version: Restricted or Subscription Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
PhD grant 2016/24555-0Fundação de Amparo à Pesquisa do Estado de São Paulohttp://viaf.org/viaf/147398725
013/07375-0Fundação de Amparo à Pesquisa do Estado de São Paulohttp://viaf.org/viaf/147398725
17/50144-0 Fundação de Amparo à Pesquisa do Estado de São Paulohttp://viaf.org/viaf/147398725
16/25682-5Fundação de Amparo à Pesquisa do Estado de São Paulohttp://viaf.org/viaf/147398725
2015/50122-0Fundação de Amparo à Pesquisa do Estado de São Paulohttp://viaf.org/viaf/147398725
307974/2013-8Conselho Nacional de Desenvolvimento Científico e Tecnológicohttp://dx.doi.org/10.13039/501100003593
UNSPECIFIEDLeverhulme Trusthttp://dx.doi.org/10.13039/501100000275
1740/2[DFG] Deutsche Forschungsgemeinschafthttp://dx.doi.org/10.13039/501100001659
E36-17RAragon (Spain). Corteshttp://viaf.org/viaf/143058775
FIS2017-87519-P[MINECO] Ministerio de Economía y Competitividadhttp://dx.doi.org/10.13039/501100003329
FIS2017-87519-PFederación Española de Enfermedades Rarashttp://dx.doi.org/10.13039/501100002924
PIP 0443/2014Consejo Nacional de Investigaciones Científicas y Técnicashttp://dx.doi.org/10.13039/501100002923
PICT 2016 Nro 201-0215Agencia Nacional de Promoción Científica y Tecnológicahttp://dx.doi.org/10.13039/501100003074
UNSPECIFIEDIntesa Sanpaolo (Firm)http://viaf.org/viaf/311582859

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