# The Mathematics and Statistics of Infectious Disease Outbreaks

## Abstract:

Slides, R code and video lectures of our 2020 *The Mathematics and
Statistics of Infectious Disease Outbreaks* summer course at
Stockholm University are made available to a wider audience.

This work is licensed under a Creative Commons
Attribution-ShareAlike 4.0 International License. The
markdown+Rknitr source code of this blog is available under a GNU General Public
License (GPL v3) license from github.

## Introduction

During the 2020 summer Tom Britton and I gave
a course on *The Mathematics and Statistics of Infectious Disease
Outbreaks* at the Department of
Mathematics, Stockholm University, Sweden. Pre-requisites for the
course were undergraduate knowledge of mathematics (e.g. differential
equations, optimization) and statistics (e.g. random variables,
distributions, maximum likelihood inference) as well as some programming
skills in a language with a data science component (python, R, Julia,
matlab, …).

which, e.g., links to the Youtube playlist containing the videos.

## Course content

- Introduction to the Course [Tom Britton | Michael Höhle]
- L01: Mathematical Modelling [Part 1 | Part 2]
- L02: Simulation and Fitting of Epidemic Models [Part 1 | Part 2 | Part 3]
- L03: Timing and observations + Endemic models [Part 1 | Part 2]
- L04: Estimating Reproduction Numbers [Part 1 | Part 2]
- L05: Effective Reproduction Number [Part 1 | Part 2]
- L06: Latencies and Delays [Part 1 | Part 2]
- L07: Vaccination, other Preventive Measures and Uncertainties [Part 1 | Part 2]
- L08: Modeling using Networks and other Heterogeneities [Part 1 | Part 2]
- L09: Univariate Outbreak Detection [Part 1 | Part 2]
- L10: Multivariate Outbreak Detection [Part 1 | Part 2]
- L11: COVID-19 (I): Reproduction Number and Herd Immunity [Part 1 | Part 2]
- L12: COVID-19 (II): Digital Contact Tracing [Part 1 | Part 2]

## Discussion

We hope the material can be of value for those interested in the field, e.g., new Ph.D. students in epidemic modelling, infectious disease epidemiologists with a like for the quantitative side of matters, and for those who just want to improve their armchair epidemiology skills.