https://doi.org/10.1140/epjb/e2015-60596-0
Regular Article
Imperfect spreading on temporal networks*
1 naXys, University of Namur,
Rempart de la Vierge
8, 5000
Namur,
Belgium
2 ICTEAM and CORE, Université
catholique de Louvain, 1348
Louvain-la-Neuve,
Belgium
a
e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
23
July
2015
Received in final form:
8
September
2015
Published online:
2
November
2015
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.
Contribution to the Topical Issue “Temporal Network Theory and Applications”, edited by Petter Holme.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2015
