### Timetable

### Material

Textbook: O. Diekmann, H. Heesterbeek and T. Britton: Mathematical Tools for Understanding Infectious Disease Dynamics. Princeton University Press, 2012; ISBN-10: 0691155399.

In order to participate in this course, you need to have the textbook or have regular access to it. The book is available as an ebook through the library of the University of Helsinki. Please honour the copyright and the terms of use of ebooks.

The course will cover the following chapters of the textbook: chapters 1-9, 12 (with the exception of 8.2, but with added material on the evolution of pathogens).

## Other

### Tasks

#### Homework exercises

#### Student presentations

#### Optional exercises

The set of additional exercises and the model exam are optional. We can discuss them, as well as any questions you have, on 12-13 December. If you are generally comfortable with the techniques we have used, do #7 of the additional exercises as a "crowning" exercise.

### Conduct of the course

EXAM: Written exam with problems similar to the exercises of the textbook. You may use one A4 paper of your own notes ("cheat sheet") in the exam. The final grade is a combination of the exam grade (with weight 2/3) and course activity (presentations, exercises, end-chapter quick tests (no cheat sheet!) with weight 1/3).

EXAM TIMES: Mon 16 December 10.15-13.00 in the lecture room, Exactum B121. We can have more exams, email me if 16 December is not good for you.

### Feedback

You can leave feedback through this webform also anonymously. The feedback is read by EK alone.

### Description

Optional course.

Master's Programme in Life Science Informatics is responsible for the course.

The course belongs to the Mathematics and Applied mathematics module.

The course is available to students from other degree programmes.

BSc courses on differential equations, linear algebra, probability theory

Modelling the dynamics of infectious diseases using a variety of mathematical techniques (differential equations, renewal equations, stochastic models, network models).

Recommended time/stage of studies for completion: 1. or 2. year

Term/teaching period when the course will be offered: varying

This course is an introduction to mathematical modelling of the dynamics of infectious diseases in human and other populations. The topics include the basic models of epidemics (e.g. SIR); the basic reproduction number (R0); vaccination; the final size of an epidemic; persistence; the evolution of pathogens; diseases in small communities; time to extinction; epidemics in structured host populations; multi-level mixing (households); epidemics on networks. The course is given as a book-reading course based on a textbook that approaches much of the material via problem-solving. Lectures and exercise classes are combined; next to traditional lectures, also students present sections of the book and discuss the solutions of the problems.

O. Diekmann, H. Heesterbeek and T. Britton: Mathematical Tools for Understanding Infectious Disease Dynamics. Princeton University Press, 2012; ISBN-10: 0691155399.

Lectures, student presentations, problem solving

Exam and course activity (presentations and problem solving), Course will be graded with grades 1-5

Exam, other methods will be described later