Abstract
The expected number of secondary cases produced by a typical infected individual during its entire period of infectiousness in a completely susceptible population is mathematically defined as the dominant eigenvalue of a positive linear operator. It is shown that in certain special cases one can easily compute or estimate this eigenvalue. Several examples involving various structuring variables like age, sexual disposition and activity are presented.
Keywords
Eigenvalues and eigenvectorsBasic reproduction numberComputationStructuringMathematicsPopulationApplied mathematicsOperator (biology)BiologyReproductionStatisticsDemographyAlgorithmGeneticsPhysics
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Publication Info
- Year
- 1990
- Type
- article
- Citations
- 5006
- Access
- Closed
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Cite This
Odo Diekmann,
Hans Heesterbeek,
J.A.J. Metz
(1990).
On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations..
Data Archiving and Networked Services (DANS)
.
https://doi.org/10.1007/bf00178324
Identifiers
- DOI
- 10.1007/bf00178324