The DOI matches its Crossref record.
On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations
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.
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Cited by
Li, R., Pei, S., Chen, B., Song, Y., Zhang, T., Yang, W., & Shaman, J. (2020) · Science · doi:10.1126/science.abb3221 · Cited by 3,633
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Diekmann, O., Heesterbeek, J. A. P., & Roberts, M. G. (2010) · Journal of The Royal Society Interface · doi:10.1098/rsif.2009.0386 · Cited by 2,119
Self-citationChanges in contact patterns shape the dynamics of the COVID-19 outbreak in China
Zhang, J., Litvinova, M., Liang, Y., Wang, Y., Wang, W., Zhao, S., Wu, Q., Merler, S., Viboud, C., Vespignani, A., et al. (2020) · Science · doi:10.1126/science.abb8001 · Cited by 1,107
Estimating the burden of SARS-CoV-2 in France
Salje, H., Tran Kiem, C., Lefrancq, N., Courtejoie, N., Bosetti, P., Paireau, J., Andronico, A., Hozé, N., Richet, J., Dubost, C.-L., et al. (2020) · Science · doi:10.1126/science.abc3517 · Cited by 1,038
The effects of local spatial structure on epidemiological invasions
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Metadata
- Authors
- Diekmann, O., Heesterbeek, J. A. P., & Metz, J. A. J.
- Venue
- Journal of Mathematical Biology
- Published
- 1990-06
- Volume
- 28
- Issue
- 4
- ISSN
- 0303-6812
- 1432-1416
- OpenAlex
- W2041572706
- Cited by
- 5,091
- References
- 0
- FWCI
- 15.88
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations. https://app.cochat.ai/papers/10.1007/bf00178324
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- Diekmann, O., Heesterbeek, J. A. P., & Metz, J. A. J. (1990). On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations. Journal of Mathematical Biology. https://doi.org/10.1007/bf00178324
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
