A renewal equation model for disease transmission dynamics with contact tracing

  • seminar by Francesca Scarabel
  • Monday 15 February 2021 15:00–16:00
  • Zoom

I will present a deterministic model for disease transmission dynamics including diagnosis of symptomatic individuals and contact tracing. The model is structured by time since infection and formulated in terms of the individual disease rates and the parameters characterising diagnosis and contact tracing processes. By incorporating a mechanistic formulation of the processes at the individual level, we obtain an integral equation (delayed in calendar time and advanced in the time since infection) for the probability that an infected individual is detected and isolated at any point in time. This is then coupled with a renewal equation for the total incidence to form a closed system describing the transmission dynamics involving contact tracing. After presenting the derivation of the model, I will conclude with some applications of public health relevance, especially in the context of the ongoing COVID-19 pandemic.

Joint work [1] with Lorenzo Pellis (U. Manchester, UK), Nicholas H. Ogden (Public Health Agency of Canada) and Jianhong Wu (York U., Toronto, Canada).

This seminar is part of the Mathematical Research Seminar at the University of Primorska (Koper, Slovenia). You can attend the seminar on Zoom; see also the Mathematical Research Seminar’s YouTube channel.

  • [1] F. Scarabel, L. Pellis, N. H. Ogden and J. Wu, A renewal equation model to assess roles and limitations of contact tracing for disease outbreak control, submitted, medRxiv: 2020.12.27.20232934, 2021.