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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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WRAP-epidemic-spreading-awareness-different-timescales-multiplex-networks-Connaughton-2019.pdf - Accepted Version - Requires a PDF viewer. Download (1070Kb) | Preview |
Official URL: https://doi.org/10.1103/PhysRevE.100.032313
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 | |||||||||||||||||||||||||||||||||||||||||||||
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| Subjects: | Q Science > QA Mathematics R Medicine > RA Public aspects of medicine |
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| 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 | |||||||||||||||||||||||||||||||||||||||||||||
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| 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: |
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