Mathematical Modelling of Infectious Diseases
The course focuses on concepts and methods of mathematical modelling of infectious diseases.
The course focuses on concepts and methods of mathematical modelling of infectious diseases.
Starting from basic assumptions on transmission of infection models will be formulated and key quantities will be derived.
Mathematical tools to formulate and analyse compartmental infectious disease models will be introduced and applications to specific infectious diseases and intervention strategies will be discussed. Students will develop their own models using specialized software.
In recent years mathematical modelling has become a valuable tool in the analysis of infectious disease dynamics and to support the development of control strategies. This course will give a thorough introduction to the conceptual ideas and mathematical tools needed for infectious disease modeling. The focus will be on the dynamics of infectious diseases, the analysis of transmission patterns in various populations and methods to assess the effectiveness of control strategies. These methods will be illustrated with examples of specific infections such as HIV, childhood infections, influenza, and vector borne diseases. The principles of modelling will be addressed in the first week of the course and expanded to more in-depth level in the advanced second week of the course. The aim is to provide the participants with the knowledge to evaluate and judge infectious disease epidemiology research and data analysis using mathematical modelling techniques. Topics are among others: basic reproduction ratio, deterministic and stochastic models, population heterogeneity, statistical inference, population biology and vaccination. Participants will learn to design and analyze mathematical models using specialized software.
Students with a background in epidemiology, theoretical biology, applied mathematics, or similar disciplines. Basic level of mathematics is required (calculus, differential equations, some linear algebra).
Understand the basic concepts of infectious disease modelling; develop the ability to formulate and analyse a simple model; knowledge of how to estimate some basic parameters.
Five days per week, from 09:00 until 17.00 hours
Lectures, practicals, self study
Course fee will be waived for students of epidemiology of Utrecht University.
For this course you are required to upload the following documents when applying: