A discrete-time SIS epidemic model and the epidemic thresholds on complex networks is investigated and a community-level epidemic threshold set is proposed and a comparative result between the local epidemic thresholds and the global epidemic threshold is established.
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.
It is shown that spreading dynamics on temporal networks can analogously be mapped to reachability in temporal event graphs, which provides a theoretical and computational framework for a class of processes, such as variants of the susceptible-infected-susceptible model.
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