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      Complexity of the Basic Reproduction Number (R 0)

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          Abstract

          The basic reproduction number (R 0), also called the basic reproduction ratio or rate or the basic reproductive rate, is an epidemiologic metric used to describe the contagiousness or transmissibility of infectious agents. R 0 is affected by numerous biological, sociobehavioral, and environmental factors that govern pathogen transmission and, therefore, is usually estimated with various types of complex mathematical models, which make R 0 easily misrepresented, misinterpreted, and misapplied. R 0 is not a biological constant for a pathogen, a rate over time, or a measure of disease severity, and R 0 cannot be modified through vaccination campaigns. R 0 is rarely measured directly, and modeled R 0 values are dependent on model structures and assumptions. Some R 0 values reported in the scientific literature are likely obsolete. R 0 must be estimated, reported, and applied with great caution because this basic metric is far from simple.

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          Most cited references17

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          Vaccination and herd immunity to infectious diseases.

          An understanding of the relationship between the transmission dynamics of infectious agents and herd immunity provides a template for the design of effective control programmes based on mass immunization. Mathematical models of the spread and persistence of infection provide important insights into the problem of how best to protect the community against disease.
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            A brief history of R0 and a recipe for its calculation.

            In this paper I present the genesis of R0 in demography, ecology and epidemiology, from embryo to its current adult form. I argue on why it has taken so long for the concept to mature in epidemiology when there were ample opportunities for cross-fertilisation from demography and ecology from where it reached adulthood fifty years earlier. Today, R0 is a more fully developed adult in epidemiology than in demography. In the final section I give an algorithm for its calculation in heterogeneous populations.
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              Valuing vaccination.

              Vaccination has led to remarkable health gains over the last century. However, large coverage gaps remain, which will require significant financial resources and political will to address. In recent years, a compelling line of inquiry has established the economic benefits of health, at both the individual and aggregate levels. Most existing economic evaluations of particular health interventions fail to account for this new research, leading to potentially sizable undervaluation of those interventions. In line with this new research, we set forth a framework for conceptualizing the full benefits of vaccination, including avoided medical care costs, outcome-related productivity gains, behavior-related productivity gains, community health externalities, community economic externalities, and the value of risk reduction and pure health gains. We also review literature highlighting the magnitude of these sources of benefit for different vaccinations. Finally, we outline the steps that need to be taken to implement a broad-approach economic evaluation and discuss the implications of this work for research, policy, and resource allocation for vaccine development and delivery.
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                Author and article information

                Journal
                Emerg Infect Dis
                Emerging Infect. Dis
                EID
                Emerging Infectious Diseases
                Centers for Disease Control and Prevention
                1080-6040
                1080-6059
                January 2019
                : 25
                : 1
                : 1-4
                Affiliations
                [1]University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, USA (P.L. Delamater);
                [2]George Mason University, Fairfax, Virginia, USA (E.J. Street, T.F. Leslie, K.H. Jacobsen);
                [3]George Washington University, Washington, DC, USA (Y.T. Yang)
                Author notes
                Address for correspondence: Paul L. Delamater, University of North Carolina at Chapel Hill, Campus Box 3220, Chapel Hill, NC 27599-3220, USA; email: pld@ 123456email.unc.edu
                Article
                17-1901
                10.3201/eid2501.171901
                6302597
                30560777
                aab02bb8-ddc3-46bc-a24f-608380819c53
                History
                Categories
                Perspective
                Perspective
                Complexity of the Basic Reproduction Number (R 0)

                Infectious disease & Microbiology
                basic reproduction number,theoretical models,disease outbreaks,infectious disease transmission,r0,mathematical modeling,outbreaks,basic reproduction ratio,basic reproduction rate,basic reproductive rate

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