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 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 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
Cite
@article{arxiv.1810.04880,
title = {Network localization is unalterable by infections in bursts},
author = {Qiang Liu and Piet Van Mieghem},
journal= {arXiv preprint arXiv:1810.04880},
year = {2020}
}
Comments
11 pages (6 pages for main text and 5 pages for appendix), 9 figures (2 figures in main text and 7 figures in appendix) and 1 table in appendix; Modifications made in the main text: simulations added (Sec. 4.2; In Fig.2(b), the original networks with $\gamma=3$ in Version 1 around 10^2 and 10^3 have lost and this two networks are regenerated), references added. No changes in the appendix