An Introduction to The Basic Reproduction Number in Mathematical Epidemiology
Antoine Perasso
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Source: Crossref
Published: Jan 1, 2018
DOI: 10.1051/proc/201862123
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This article introduces the notion of basic reproduction number R 0 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 R 0 to address biological as well mathematical issues.
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