Nature of the Epidemic Threshold for the Susceptible-Infected-Susceptible Dynamics in Networks
We develop an analytical approach to the susceptible-infected-susceptible epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate balance between the number of high degree nodes in the network and the topolog...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2013 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositório: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/53287 |
| Acesso em linha: | https://hdl.handle.net/2445/53287 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Epidemiologia Internet Xarxes socials Xarxes neuronals (Neurobiologia) Percolació (Física estadística) Termodinàmica Sistemes no lineals Epidemiology Social networks Neural networks (Neurobiology) Percolation (Statistical physics) Thermodynamics Nonlinear systems |
| Resumo: | We develop an analytical approach to the susceptible-infected-susceptible epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate balance between the number of high degree nodes in the network and the topological distance between them dictates the existence or absence of such a threshold. In particular, small-world random networks with a degree distribution decaying slower than an exponential have a vanishing epidemic threshold in the thermodynamic limit. |
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