An Epidemic Threshold Set for Networks
2026-07-15 • Social and Information Networks
Social and Information Networks
AI summaryⓘ
The authors study how diseases spread over time in networks using a simple model called SIS. They look at thresholds that determine when an outbreak will happen, focusing on both community-level and whole-network levels. They compare these thresholds and test their ideas using both a made-up network and real-world data from the Haslemere community. Their computer simulations support their theoretical predictions about how epidemics behave on complex networks.
SIS modeldiscrete-timeepidemic thresholdcomplex networkscommunity-level analysisnumerical simulationsHaslemere contact networkepidemic spreadingnetwork theory
Authors
Hoang Phi Dung, Nguyen Hong Phuc
Abstract
In this paper, we investigate a discrete-time SIS epidemic model and the epidemic thresholds on complex networks. We focus on proposing a community-level epidemic threshold set and establishing a comparative result between the local epidemic thresholds and the global epidemic threshold. To verify our theoretical findings and structural properties, we conduct numerical experiments on one synthetic network (Network1) and one real-world network (the Haslemere contact network). Our numerical simulations, along with the computation and statistical ranking of the epidemic threshold sets, align accurately with our theoretical results.