Abstract
This chapter introduces the concept of reproduction numbers in the context of compartmental models. Heuristic approaches to determine reproduction numbers of the SIR and SEIR models are presented. Subsequently, the next generation method is presented that allows to determine reproduction numbers for a variety of high-dimensional compartmental model. It is discussed that reproduction numbers can be regarded as bifurcation parameters that determine the stability of disease-free fixed points. Applications to the COVID-19 outbreaks during the year 2020 in Wuhan, China, and Pakistan are also presented.
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Frank, T.D. (2022). Model-Based Reproduction Numbers. In: COVID-19 Epidemiology and Virus Dynamics. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-97178-6_7
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DOI: https://doi.org/10.1007/978-3-030-97178-6_7
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