Abstract

Various epidemic spreading processes are considered to take place on time-varying networks. One key factor that alters epidemic spreading on time-varying networks is concurrency, the number of neighbours that a node has at a given time point. In this chapter, we present a theoretical study of the effects of concurrency on the susceptible-infected-susceptible epidemic processes on a class of temporal network models. By theoretical analysis that explicitly takes into account stochastic dying-out effects, we show that network dynamics increase the epidemic threshold (i.e., suppress epidemics), compared to that for the time-averaged network when the nodes’ concurrency is low, but also decrease the epidemic threshold (i.e., enhance epidemics) when the concurrency is high.

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