Geodesic
An Introduction to The Basic Reproduction Number in Mathematical Epidemiology
Antoine Perasso1
1 UMR 6249 Chrono-environnement - Université Bourgogne Franche-Comtée, 16 route de Gray, F-25030 Besançon cedex FRANCE
ESAIM. Proceedings, Tome 62 (2018), pp. 123-138.

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This article introduces the notion of basic reproduction number R0 in mathematical epi-demiology. After an historic reminder describing the steps leading to the statement of its mathematical definition, we explain the next-generation matrix method allowing its calculation in the case of epidemic models described by ordinary differential equations (ODEs). The article then focuses, through four ODEs examples and an infection load structured PDE model, on the usefulness of the R0 to address biological as well mathematical issues.
DOI : 10.1051/proc/201862123

Antoine Perasso 1

1 UMR 6249 Chrono-environnement - Université Bourgogne Franche-Comtée, 16 route de Gray, F-25030 Besançon cedex FRANCE 
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Antoine Perasso. An Introduction to The Basic Reproduction Number in Mathematical Epidemiology. ESAIM. Proceedings, Tome 62 (2018), pp. 123-138. doi : 10.1051/proc/201862123. http://geodesic.mathdoc.fr/articles/10.1051/proc/201862123/

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