@article{703cf6006af541a88c36ee76a4805da1,
title = "Network localization is unalterable by infections in bursts",
abstract = "To shed light on the disease localization phenomenon, we study a bursty susceptible-infected-susceptible (SIS) model and analyze the model under the mean-field approximation. In the bursty SIS model, the infected nodes infect all their neighbors periodically, and the near-threshold steady-state prevalence is non-constant and maximized by a factor equal to the largest eigenvalue λ1 of the adjacency matrix of the network. We show that the maximum near-threshold prevalence of the bursty SIS process on a localized network tends to zero even if λ1 diverges in the thermodynamic limit, which indicates that the burst of infection cannot turn a localized spreading into a delocalized spreading. Our result is evaluated both on synthetic and real networks.",
keywords = "Complex networks, localization, epidemic process, susceptible-infected-susceptible model",
author = "Qiang Liu and {Van Mieghem}, Piet",
note = "Accepted author manuscript",
year = "2018",
month = dec,
day = "24",
doi = "10.1109/TNSE.2018.2889539",
language = "English",
volume = "6",
pages = "983 -- 989",
journal = "IEEE Transactions on Network Science and Engineering",
publisher = "IEEE",
number = "4",
}