Introduction to mathematical modelling of infectious diseases

  • lectures by Francesca Scarabel
  • 18–20 December 2023
  • Sala riunioni, DMIF; Microsoft Teams [UPDATED]

Program

  1. Basic models for infectious disease spread.
  2. Fundamental epidemiological concepts (the exponential growth rate and reproduction number, final size, critical vaccination threshold).
  3. Linear chain trick to relax the exponential distribution assumption.
  4. Time since infection and structured model.
  5. Multi-type models.
  6. The next-generation matrix and the basic reproduction number.
  7. Advanced topics (time permitting): numerical methods, application to contact tracing, type reproduction number.

Prerequisites

Basic linear algebra, basic calculus, ordinary differential equations.

Schedule

  • Monday 18 December 2023, 14:30–16:30
  • Tuesday 19 December 2023, 10:30–12:30
  • Tuesday 19 December 2023, 14:30–16:30
  • Wednesday 20 December 2023, 10:30–12:30

If you want to attend the course via Microsoft Teams, please write to ().

The course is offered by the PhD course in Mathematical and Physical Sciences of the University of Udine.
Course page: https://www.dmif.uniud.it/dottorato/smf/offerta-didattica/introduction-to-mathematical-modelling-of-infectious-diseases/.

Francesca Scarabel

Francesca Scarabel is a Lecturer in Mathematical Biology at the University of Leeds (UK). Her research revolves around structured population models, formulated as delay or partial differential equations, with special focus on numerical bifurcation analysis and applications to public health. She completed her doctoral degree in Applied Mathematics at the University of Helsinki in 2018. (https://sites.google.com/view/scarabelfrancesca)

This event has been updated.