Mathematical Models in Epidemiology
The objectives of the course include:
- Basic knowledge of the terms and principles in epidemiology
- Basic knowledge of the main results of the theory of mathematical models for the transmission of infectious deonças
- Ability to build and analyze models for the transmission of infectious diseases using systems of differential equations.
Paula Cristiana Costa Garcia Silva Patrício
Weekly - Available soon
Total - 28
This course assumes knowledge of analysis, differential equations, linear algebra. Some mathematical concepts useful for modeling will be introduced.
1. Papers to be chosen
2. F. Brauer, P van den Driessche, J Wu, Mathematical Epidemiology, Springer, 2008
In theoretical-practical classes, topics and theoretical concepts will be presented.
There will be problem solving.
Book chapters will be proposed for preparation in articles or autonomy for presentation
and discussion in class.
Exercices for homework and oral presentation on articles and/or book chapters.
Epidemic models - the model of Kermack-McKendrick
Models with demographic effects: SIR and SIS
Basic Reproduction Number, R0
Generalizations: temporary and partial immunity; age-structured models; spacial models; multi-strain models; vector-borne diseases