Diekmann, Heesterbeek and Britton's book cover

Book-reading course

based on Diekmann, Heesterbeek & Britton: Mathematical tools for understanding infectious disease dynamics (Princeton, 2012)

This course is an introduction to mathematical modelling of the dynamics of infectious diseases in humans and in other species. The textbook we use approaches much of the material via problem-solving. After a few introductory lectures, the students present sections of the book and discuss the problems (lectures and exercise classes are combined). The course requires self-study.

TOPICS: basic models of epidemics (e.g. SIR); basic reproduction number (R0) and the initial outbreak; vaccination; the final size of an epidemic and time to extinction; stochastic modelling; endemic persistence; evolution of pathogens; epidemics in structured host populations; multi-level mixing; epidemics spreading on networks

RECOMMENDED TO students of the Master programmes LSI (Biomathematics) and MAST (Mathematical modelling)

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.

Enrol
12.8.2019 at 09:00 - 15.12.2019 at 23:59

Timetable

Classes on 19 and 20 September are cancelled.

DateTimeLocation
Thu 5.9.2019
12:15 - 14:00
Fri 6.9.2019
12:15 - 14:00
Thu 12.9.2019
12:15 - 14:00
Fri 13.9.2019
12:15 - 14:00
Thu 19.9.2019
12:15 - 14:00
Fri 20.9.2019
12:15 - 14:00
Thu 26.9.2019
12:15 - 14:00
Fri 27.9.2019
12:15 - 14:00
Thu 3.10.2019
12:15 - 14:00
Fri 4.10.2019
12:15 - 14:00
Thu 10.10.2019
12:15 - 14:00
Fri 11.10.2019
12:15 - 14:00
Thu 17.10.2019
12:15 - 14:00
Fri 18.10.2019
12:15 - 14:00
Thu 31.10.2019
12:15 - 14:00
Fri 1.11.2019
12:15 - 14:00
Thu 7.11.2019
12:15 - 14:00
Fri 8.11.2019
12:15 - 14:00
Thu 14.11.2019
12:15 - 14:00
Fri 15.11.2019
12:15 - 14:00
Thu 21.11.2019
12:15 - 14:00
Fri 22.11.2019
12:15 - 14:00
Thu 28.11.2019
12:15 - 14:00
Fri 29.11.2019
12:15 - 14:00
Thu 5.12.2019
12:15 - 14:00
Thu 12.12.2019
12:15 - 14:00
Fri 13.12.2019
12:15 - 14:00

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).

Tasks

Homework exercises

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