MATH-560 / 5 credits

Teacher: Ged François Gaston

Language: English


Summary

This course is an introduction to some classical models of epidemics involving random mechanisms.

Content

Keywords

Stochastic epidemic, basic reproduction number, branching processes, limit theorems

Learning Prerequisites

Required courses

MATH-330 : Martingales et mouvement Brownien

MATH-332 : Stochastic processes

MATH-432 : Probability theory

 

Important concepts to start the course

Students are expected to be familiar – or at least able to catch up quickly – with (discrete) martingales, Markov chains and convergence of random variables. Recalls will be made during the first lectures and exercise sessions.

Teaching methods

Lectures followed by exercise sessions

Resources

Bibliography

Stochastic Epidemic Models with Inference – Tom Britton and Etienne Pardoux

 

Ressources en bibliothèque

In the programs

  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Stochastic epidemic models
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Stochastic epidemic models
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Stochastic epidemic models
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks

Reference week

 MoTuWeThFr
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22