Spreading of infection on temporal networks: an edge-centered perspective

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Spreading of infection on temporal networks: an edge-centered perspective

Koher, Andreas; Gleeson, James P.; Hövel, Philipp
Date: 2019-10-30
Copyright: © Springer Nature Switzerland AG 2019. This is a post-peer-review, pre-copyedit version of a book chapter published in Temporal Network Theory. Computational Social Sciences. The final authenticated version is available online at: http://dx.doi.org/10.1007/978-3-030-23495-9_13
Related: https://link.springer.com/chapter/10.1007/978-3-030-23495-9_13
Full text restriction information: Access to this article is restricted until 12 months after publication by request of the publisher.
Restriction lift date: 2020-10-30
Citation: Koher, A., Gleeson, J. P. and Hövel, P. (2019) 'Spreading of infection on temporal networks: an edge-centered perspective', in Holme, P. and Saramäki, J. (eds), Temporal Network Theory, Cham: Springer, pp. 235-252. doi: 10.1007/978-3-030-23495-9_13
Published Version: 10.1007/978-3-030-23495-9_13

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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