Absence of epidemic threshold in scale-free networks with degree correlations
Random scale-free networks have the peculiar property of being prone to the spreading of infections. Here we provide for the susceptible-infected-susceptible model an exact result showing that a scale-free degree distribution with diverging second moment is a sufficient condition to have null epidem...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/126035 |
| Acceso en línea: | https://hdl.handle.net/2117/126035 https://dx.doi.org/10.1103/PhysRevLett.90.028701 |
| Access Level: | acceso abierto |
| Palabra clave: | Epidemics Scale-free networks Epidemic threshold Epidèmies Àrees temàtiques de la UPC::Física |
| Sumario: | Random scale-free networks have the peculiar property of being prone to the spreading of infections. Here we provide for the susceptible-infected-susceptible model an exact result showing that a scale-free degree distribution with diverging second moment is a sufficient condition to have null epidemic threshold in unstructured networks with either assortative or disassortative mixing. Degree correlations result therefore irrelevant for the epidemic spreading picture in these scale-free networks. The present result is related to the divergence of the average nearest neighbor’s degree, enforced by the degree detailed balance condition. |
|---|