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The Basic Reproduction Number

The Basic Reproduction Number
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Copyright: 2023
Pages: 43
Source title: Controlling Epidemics With Mathematical and Machine Learning Models
Source Author(s)/Editor(s): Abraham Varghese (University of Technology and Applied Sciences, Muscat, Oman), Eduardo M. Lacap, Jr. (University of Technology and Applied Sciences, Muscat, Oman), Ibrahim Sajath (University of Technology and Applied Sciences, Muscat, Oman), M. Kamal Kumar (University of Technology and Applied Sciences, Muscat, Oman)and Shajidmon Kolamban (University of Technology and Applied Sciences, Muscat, Oman)
DOI: 10.4018/978-1-7998-8343-2.ch002

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Abstract

The reproduction number is an important tool in infectious disease epidemiology that conveys both the present status of the disease and the likelihood of it persisting in the future. Next-generation matrices (NGMs) serve as a natural basis for defining and calculating the categories of individuals that can be recognized. The purpose of this chapter is to give details on the construction of NGM matrix with the consideration of different types of compartmental models that can be used in the analysis of the COVID-19 disease. The goal in this chapter is to provide a complete detailed procedure on how to construct a NGM simply by starting with the model specifications. Within this chapter, the authors define how to find the salient features of the NGM based on the three domains: NGM with a large domain, NGM with a small domain, and NGM with a classical domain.

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