Bokharaie, Vahid Samadi and 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:
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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