
Dynamic interplay between epidemics and cascades:Epidemic outbreaks in uncorrelated networks
Author(s) -
Bo Ouyang,
Jin Xin-Yu,
Yongxiang Xia,
Lurong Jiang,
Duanpo Wu
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.218902
Subject(s) - computer science , epidemic model , uncorrelated , threshold model , econometrics , value (mathematics) , statistical physics , statistics , mathematics , physics , demography , sociology , machine learning , population
Epidemics and cascades are independently studied topics in network science, but in practice, there are cases where they interact and neither of their effects can be ignored, e.g., when a digital virus spreads in a communication network that is transferring data. We have built a model to study their interplay in previous works. Here we present the epidemic threshold criteria of this model. When the infectivity is fixed, the tolerance parameter , in capturing the capacity of nodes, must be larger than a critical value to fulfill the criteria, and at equilibrium the fraction of nodes both uninfected and un-failed is the largest at this critical point. So the the presentation of the epidemic threshold criteria is of significance.