Network localization is unalterable by infections in bursts

Network localization is unalterable by infections in bursts

Liu, Q. (TU Delft Network Architectures and Services)
Van Mieghem, P.F.A. (TU Delft Network Architectures and Services)

2018-12-24

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.

Complex networks
localization
epidemic process
susceptible-infected-susceptible model

http://resolver.tudelft.nl/uuid:703cf600-6af5-41a8-8c36-ee76a4805da1

https://doi.org/10.1109/TNSE.2018.2889539

IEEE Transactions on Network Science and Engineering, 6 (4), 983 - 989

Accepted author manuscript

Institutional Repository

journal article

© 2018 Q. Liu, P.F.A. Van Mieghem