Compartmental Models in Epidemiology

By Fred Brauer. Mathematical Epidemiology, 2008

550 citations recorded by the source corpus.

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.

Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/341d3e543ecc1742be313bdcaf15e19e3be3c3d9

Citations in the corpus

• Robot Dance: A mathematical optimization platform for intervention against COVID-19 in a complex network (2022, unknown): “We focus the discussion on some works that describe the pandemic dynamics by compartmental models, like SIR and SEIR [Bra08].”