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    Spread of epidemics in time-dependent networks


    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://mu.eprints-hosting.org/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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