An Introduction to The Basic Reproduction Number in Mathematical Epidemiology
Copyright policy )An Introduction to The Basic Reproduction Number in Mathematical Epidemiology
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.
T57-57.97, Applied mathematics. Quantitative methods, Epidemiology, PDEs in connection with biology, chemistry and other natural sciences, 500, reproduction number, 510, ordinary differential equations, Qualitative investigation and simulation of ordinary differential equation models, QA1-939, epidemic models, [MATH]Mathematics [math], Mathematics
T57-57.97, Applied mathematics. Quantitative methods, Epidemiology, PDEs in connection with biology, chemistry and other natural sciences, 500, reproduction number, 510, ordinary differential equations, Qualitative investigation and simulation of ordinary differential equation models, QA1-939, epidemic models, [MATH]Mathematics [math], Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).46 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!