Superinfection in networks

Conference paper (2015)

Authors

M. Märtens Network Architectures and Services -

R. van de Bovenkamp Network Architectures and Services -

P.F.A. Van Mieghem Network Architectures and Services -

Research Group

Network Architectures and Services () (TU Delft)

Markov processes Standards Computational modeling Curing Viruses (medical) Computer worms

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Published Date

2015

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Quantum & Computer Engineering

Research Group

Network Architectures and Services

Abstract

We introduce an extension of the SIS epidemic model that describes infection, mutation and curing for a whole hierarchy of viruses, resembling a nested spreading process. In our model, high level viruses are only allowed to spread to nodes that have acquired a lower level of infection before. The simplest case of two viruses, in which one "superinfects" the other, shows already rich dynamics that are difficult to predict by common mean-field approximation techniques in certain cases. We derive an exact Markovian description for superinfection in the complete network and the star network showing that the steady state of the epidemic process is highly sensitive to the spreading rate of both viruses. Taking the spreading rates into account, we outline conditions for epidemic outbreaks, coexistence of both viruses and extinction cycles.