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Bokharaie, Vahid Samadi, Mason, Oliver and Wirth, Fabian (2010) Spread of epidemics in time-dependent networks. In: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems: MTNS 2010. Eötvös Loránd University (ELTE) and MTA SZTAKI (Computer and Automation Research Institute, Hungarian Academy of Sciences). ISBN 9789633113707
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Abstract
We consider SIS models for the spread of epidemics. In particular we consider the so called nonhomogeneous
case, in which the probability of infection and recovery are not
uniform but depend on a neighborhood graph which describes
the possibility of infection between individuals. In addition it is
assumed, that infection, recovery probabilities as well as the
interconnection structure may change with time. Using the
concept of the joint spectral radius of a family of matrices
conditions are provided that guarantee robust extinction of the
epidemics.
| Item Type: | Book Section |
|---|---|
| Keywords: | Spread; epidemics; time-dependent networks; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 10035 |
| Depositing User: | Oliver Mason |
| Date Deposited: | 03 Oct 2018 13:45 |
| Publisher: | Eötvös Loránd University (ELTE) and MTA SZTAKI (Computer and Automation Research Institute, Hungarian Academy of Sciences) |
| Refereed: | Yes |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/10035 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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