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Epidemic spreading with awareness and different timescales in multiplex networks

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Autor(es):
Ventura da Silva, Paulo Cesar ; Velasquez-Rojas, Fatima ; Connaughton, Colm ; Vazquez, Federico ; Moreno, Yamir ; Rodrigues, Francisco A.
Número total de Autores: 6
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW E; v. 100, n. 3, p. 11-pg., 2019-09-24.
Resumo

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. (AU)

Processo FAPESP: 15/50122-0 - Fenômenos dinâmicos em redes complexas: fundamentos e aplicações
Beneficiário:Elbert Einstein Nehrer Macau
Modalidade de apoio: Auxílio à Pesquisa - Temático
Processo FAPESP: 16/24555-0 - Propagação de informação em redes multicamadas
Beneficiário:Paulo Cesar Ventura da Silva
Modalidade de apoio: Bolsas no Brasil - Doutorado
Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
Beneficiário:Francisco Louzada Neto
Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
Processo FAPESP: 17/50144-0 - Dynamical processes on multilayer and dynamic networks
Beneficiário:Francisco Aparecido Rodrigues
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 16/25682-5 - Propagação de informação em redes complexas
Beneficiário:Francisco Aparecido Rodrigues
Modalidade de apoio: Auxílio à Pesquisa - Regular