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arXiv · 1508.04006

Imperfect spreading on temporal networks

Martin Gueuning·Jean-Charles Delvenne·Renaud Lambiotte
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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.

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Martin Gueuning, Jean-Charles Delvenne, Renaud Lambiotte. 2016-07-06. Imperfect spreading on temporal networks. https://doi.org/10.1140/epjb%2Fe2015-60596-0

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