Performance Analysis of Communications Networks and Systems
Performance Analysis of Communications Networks and Systems
Epidemic thresholds in real networks
ACM Transactions on Information and System Security (TISSEC)
IEEE/ACM Transactions on Networking (TON)
Dynamical Processes on Complex Networks
Dynamical Processes on Complex Networks
A New Metric for Robustness with Respect to Virus Spread
NETWORKING '09 Proceedings of the 8th International IFIP-TC 6 Networking Conference
Graph Spectra for Complex Networks
Graph Spectra for Complex Networks
The N-intertwined SIS epidemic network model
Computing - Special Issue on Bio inspired Computing
Digging in the Digg Social News Website
IEEE Transactions on Multimedia
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Besides the epidemic threshold, the recently proposed viral conductance @j by Kooij et al. [11] may be regarded as an additional characterizer of the viral robustness of a network, that measures the overall ease in which viruses can spread in a particular network. Motivated to explain observed features of the viral conductance @j in simulations [29], we have analysed this metric in depth using the N-intertwined SIS epidemic model, that upper bounds the real infection probability in any network and, hence, provides safe-side bounds on which network protection can be based. Our study here derives a few exact results for @j, a number of different lower and upper bounds for @j with variable accuracy. We also extend the theory of the N-intertwined SIS epidemic model, by deducing formal series expansions of the steady-state fraction of infected nodes for any graph and any effective infection rate, that result in a series for the viral conductance @j. Though approximate, we illustrate here that the N-intertwined SIS epidemic model is so far the only SIS model on networks that is analytically tractable, and valuable to provide first order estimates of the epidemic impact in networks. Finally, inspired by the analogy between virus spread and synchronization of coupled oscillators in a network, we propose the synchronizability as the analogue of the viral conductance.