Imperfect spreading on temporal networks

Abstract

We study spreading on networks where the contact dynamics between the nodes is governed by a random process and where the inter-contact time distribution may differ from the exponential. We consider a process of imperfect spreading, where transmission is successful with a determined probability at each contact. We first derive an expression for the inter-success time distribution, determining the speed of the propagation, and then focus on a problem related to epidemic spreading, by estimating the epidemic threshold in a system where nodes remain infectious during a finite, random period of time. Finally, we discuss the implications of our work to design an efficient strategy to enhance spreading on temporal networks.

5 pages

References in corpus (3)

• Small But Slow World: How Network Topology and Burstiness Slow Down Spreading
• Contagion dynamics in time-varying metapopulation networks
• The basic reproduction number as a predictor for epidemic outbreaks in temporal networks

Cited by in corpus (2)

• Using higher-order Markov models to reveal flow-based communities in networks
• Effects of memory on spreading processes in non-Markovian temporal networks