Individual-based approach to epidemic processes on arbitrary dynamic contact networks

Luis E. C. Rocha, Naoki Masuda

Research output: Contribution to journalArticle (Academic Journal)peer-review

18 Citations (Scopus)
383 Downloads (Pure)

Abstract

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We develop an individual-based approximation for the susceptible-infected-recovered epidemic model applicable to arbitrary dynamic networks. Our framework provides, at the individual-level, the probability flow over time associated with the infection dynamics. This computationally efficient framework discards the correlation between the states of different nodes, yet provides accurate results in approximating direct numerical simulations. It naturally captures the temporal heterogeneities and correlations of contact sequences,
fundamental ingredients regulating the timing and size of an epidemic outbreak, and the number of secondary infections. The high accuracy of our approximation further allows us to detect the index individual of an epidemic outbreak in real-life network data.
Original languageEnglish
Article number31456
Number of pages10
JournalScientific Reports
Volume6
DOIs
Publication statusPublished - 26 Aug 2016

Keywords

  • Applied mathematics
  • Complex networks

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