Print Email Facebook Twitter Epidemic threshold and topological structure of susceptible-infectious-susceptible epidemics in adaptive networks Title Epidemic threshold and topological structure of susceptible-infectious-susceptible epidemics in adaptive networks Author Guo, D. Trajanovski, S. Van de Bovenkamp, R. Wang, H. Van Mieghem, P.F.A. Faculty Electrical Engineering, Mathematics and Computer Science Department Intelligent Systems Date 2013-10-04 Abstract The interplay between disease dynamics on a network and the dynamics of the structure of that network characterizes many real-world systems of contacts. A continuous-time adaptive susceptible-infectious-susceptible (ASIS) model is introduced in order to investigate this interaction, where a susceptible node avoids infections by breaking its links to its infected neighbors while it enhances the connections with other susceptible nodes by creating links to them. When the initial topology of the network is a complete graph, an exact solution to the average metastable-state fraction of infected nodes is derived without resorting to any mean-field approximation. A linear scaling law of the epidemic threshold ?c as a function of the effective link-breaking rate ? is found. Furthermore, the bifurcation nature of the metastable fraction of infected nodes of the ASIS model is explained. The metastable-state topology shows high connectivity and low modularity in two regions of the ?,? plane for any effective infection rate ?>?c: (i) a “strongly adaptive” region with very high ? and (ii) a “weakly adaptive” region with very low ?. These two regions are separated from the other half-open elliptical-like regions of low connectivity and high modularity in a contour-line-like way. Our results indicate that the adaptation of the topology in response to disease dynamics suppresses the infection, while it promotes the network evolution towards a topology that exhibits assortative mixing, modularity, and a binomial-like degree distribution. To reference this document use: http://resolver.tudelft.nl/uuid:82a5fd94-7bb9-4a55-8e34-fbbaa3d81f11 DOI https://doi.org/10.1103/PhysRevE.88.042802 Publisher American Physical Society ISSN 1539-3755 Source http://link.aps.org/doi/10.1103/PhysRevE.88.042802 Source Physical Review E, 88 (4), 2013 Part of collection Institutional Repository Document type journal article Rights © 2013 American Physical Society Files PDF Guo_2013.pdf 1.14 MB Close viewer /islandora/object/uuid:82a5fd94-7bb9-4a55-8e34-fbbaa3d81f11/datastream/OBJ/view