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Spreading of Infection on Temporal Networks: An Edge-Centered Perspective

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Book cover Temporal Network Theory

Part of the book series: Computational Social Sciences ((CSS))

Abstract

We discuss a continuous-time extension of the contact-based (CB) model, as proposed in [Koher et al. Phys. Rev. X 9, 031017 (2019)], for infections with permanent immunity on temporal networks. At the core of our methodology is a fundamental change to an edge-centered perspective, which allows for an accurate model on temporal networks, where the underlying time-aggregated graph has a tree structure. From the continuous-time CB model, we derive the infection propagator for the low prevalence limit and propose a novel spectral criterion to estimate the epidemic threshold. In addition, we explore the relation between the continuous-time CB model and the previously proposed edge-based compartmental model, as well as the message-passing framework.

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Acknowledgements

AK and PH acknowledge the support by Deutsche Forschungsgmeinschaft (DFG) in the framework of Collaborative Research Center 910. AK acknowledges further support by German Academic Exchange Service (DAAD) via a short-term scholarship. JPG acknowledges the support by Science Foundation Ireland (grant numbers 16/IA/4470 and 16/RC/3918).

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Berlin, Berlin, Germany

    Andreas Koher

  2. MACSI, Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland

    James P. Gleeson

  3. School of Mathematical Sciences, University College Cork, Cork, Ireland

    Philipp Hövel

Authors
  1. Andreas Koher
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  2. James P. Gleeson
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  3. Philipp Hövel
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Corresponding author

Correspondence to Philipp Hövel .

Editor information

Editors and Affiliations

  1. Tokyo Tech World Research Hub Initiative (WRHI), Institute of Innovative Research, Tokyo Institute of Technology, Tokyo, Japan

    Petter Holme

  2. Department of Computer Science, Aalto University, Espoo, Finland

    Jari Saramäki

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Koher, A., Gleeson, J.P., Hövel, P. (2019). Spreading of Infection on Temporal Networks: An Edge-Centered Perspective. In: Holme, P., Saramäki, J. (eds) Temporal Network Theory. Computational Social Sciences. Springer, Cham. https://doi.org/10.1007/978-3-030-23495-9_13

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