, Volume 93, Issue 2–4, pp 147–169 | Cite as

The N-intertwined SIS epidemic network model

  • Piet Van Mieghem
Open Access


Serious epidemics, both in cyber space as well as in our real world, are expected to occur with high probability, which justifies investigations in virus spread models in (contact) networks. The N-intertwined virus spread model of the SIS-type is introduced as a promising and analytically tractable model of which the steady-state behavior is fairly completely determined. Compared to the exact SIS Markov model, the N-intertwined model makes only one approximation of a mean-field kind that results in upper bounding the exact model for finite network size N and improves in accuracy with N. We review many properties theoretically, thereby showing, besides the flexibility to extend the model into an entire heterogeneous setting, that much insight can be gained that is hidden in the exact Markov model.


Epidemics Networks Robustness Mean-field approximation 

Mathematics Subject Classification (2000)

05C50 05C82 37H20 46N10 46N30 60J28 



We are very grateful to Caterina Scoglio, Mina Youssef, Faryad Darabi Sahneh, Cong Li and Rob Kooij for many comments on an early version of the manuscript. This research was supported by Next Generation Infrastructures (Bsik) and the EU FP7 project ResumeNet (project No. 224619).

Open Access

This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2011

Authors and Affiliations

  1. 1.Faculty of Electrical Engineering, Mathematics and Computer ScienceDelft University of TechnologyDelftThe Netherlands

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