Print Email Facebook Twitter Susceptible-infected-susceptible epidemics on the complete graph and the star graph: Exact analysis Title Susceptible-infected-susceptible epidemics on the complete graph and the star graph: Exact analysis Author Cator, E.A. Van Mieghem, P. Faculty Electrical Engineering, Mathematics and Computer Science Department Delft Institute of Applied Mathematics Date 2013-01-23 Abstract Since mean-field approximations for susceptible-infected-susceptible (SIS) epidemics do not always predict the correct scaling of the epidemic threshold of the SIS metastable regime, we propose two novel approaches: (a) an ?-SIS generalized model and (b) a modified SIS model that prevents the epidemic from dying out (i.e., without the complicating absorbing SIS state). Both adaptations of the SIS model feature a precisely defined steady state (that corresponds to the SIS metastable state) and allow an exact analysis in the complete and star graph consisting of a central node and N leaves. The N-intertwined mean-field approximation (NIMFA) is shown to be nearly exact for the complete graph but less accurate to predict the correct scaling of the epidemic threshold ?c in the star graph, which is found as ?c=??c(1), where ?=?1/2logN+3/2loglogN and where ?c(1)=1/?N To reference this document use: http://resolver.tudelft.nl/uuid:a19baf2b-b208-434f-a8ff-b983824c9339 DOI https://doi.org/10.1103/PhysRevE.87.012811 Publisher American Physical Society ISSN 1539-3755 Source http://link.aps.org/doi/10.1103/PhysRevE.87.012811 Source Physical Review, 87 (1), 2013 Part of collection Institutional Repository Document type journal article Rights © 2013 American Physical Society Files PDF Cator_2013.pdf 360.97 KB Close viewer /islandora/object/uuid:a19baf2b-b208-434f-a8ff-b983824c9339/datastream/OBJ/view