2011/10/12 by Piet Van Mieghem · 2 citations
Medicine · Physics and Astronomy · #Complex Network Analysis Techniques #Mathematical and Theoretical Epidemiology and Ecology Models #Opinion Dynamics and Social Influence
paper · pdf · doi:10.1007/s00607-011-0155-y
openalex publication_date 2011/10/12 · crossref created 2011/10/12 · crossref issued 2011/10/13 · crossref published 2011/10/13 · crossref published-online 2011/10/13 · crossref published-print 2011/12/01 · crossref deposited 2024/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31 · crossref indexed 2026/07/31
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.