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Compartmental Models in Epidemiology
Open accessAbstract
We describe and analyze compartmental models for disease transmission. We begin with models for epidemics, showing how to calculate the basic reproduction number and the final size of the epidemic. We also study models with multiple compartments, including treatment or isolation of infectives. We then consider models including births and deaths in which there may be an endemic equilibrium and study the asymptotic stability of equilibria. We conclude by studying age of infection models which give a unifying framework for more complicated compartmental models.
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Cites
Network theory and SARS: predicting outbreak diversity
Meyers, L. A., Pourbohloul, B., Newman, M. E. J., Skowronski, D. M., & Brunham, R. C. (2005) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2004.07.026 · Cited by 705
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Modeling Infectious Diseases in Humans and Animals
Keeling, M. J., & Rohani, P. (2011) · Princeton University Press eBooks · doi:10.2307/j.ctvcm4gk0 · Cited by 2,688
Goscé, L., & Johansson, A. (2018) · Environmental Health · doi:10.1186/s12940-018-0427-5 · Cited by 147
Metadata
- Authors
- Brauer, F.
- Venue
- Lecture Notes in Mathematics
- Publisher
- Springer Berlin Heidelberg
- Published
- 2008
- Pages
- 19-79
- ISSN
- 0075-8434 (ISSN-L)
- OpenAlex
- W30489333
- Cited by
- 536
- References
- 1
- FWCI
- 39.71
- Type
- book chapter
- Language
- en
- Open access
- green
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- Brauer, F. (2008). Compartmental Models in Epidemiology. Lecture Notes in Mathematics. https://doi.org/10.1007/978-3-540-78911-6_2
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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.
