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The reproduction number in the classical epidemiological model

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  • Quaas, Georg

Abstract

The German Robert Koch Institute aims to "protect the population from disease and improve their state of health" (RKI 2017). To this end, it develops concrete, research-based recommendations for policymakers and makes data available to the expert public. Since March 4, 2020, it has been publishing the numbers of coronavirus infections reported by health authorities daily; since March 9, these data have included the numbers of people who have died of COVID-19; and since March 25, the RKI has reported the estimated numbers of those who have recovered. The important reproduction number, reported daily since April 7, has now largely replaced all other criteria used for decision-making. This paper aims to show that the calculation of this figure is neither theory-based nor particularly reliable. Nevertheless, there is a simple way to determine its change more or less conservatively and precisely.

Suggested Citation

  • Quaas, Georg, 2020. "The reproduction number in the classical epidemiological model," Working Papers 167, University of Leipzig, Faculty of Economics and Management Science.
  • Handle: RePEc:zbw:leiwps:167
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    References listed on IDEAS

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    1. Grossmann, Volker & Steger, Thomas M. & Trimborn, Timo, 2013. "The macroeconomics of TANSTAAFL," Journal of Macroeconomics, Elsevier, vol. 38(PA), pages 76-85.
    2. Schäfer, Andreas & Schneider, Maik T., 2015. "Endogenous Enforcement Of Intellectual Property, North–South Trade, And Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 19(5), pages 1074-1115, July.
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    Cited by:

    1. Lazebnik, Teddy & Shami, Labib & Bunimovich-Mendrazitsky, Svetlana, 2023. "Intervention policy influence on the effect of epidemiological crisis on industry-level production through input–output networks," Socio-Economic Planning Sciences, Elsevier, vol. 87(PA).
    2. Matthew Abiodun Dada, 2020. "COVID-19 Outbreak and Behavioral Maladjustments: A Shift from a Highly Globalized World to a Strange World of Unique Isolationism," Journal of Economics and Behavioral Studies, AMH International, vol. 12(4), pages 43-58.

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    More about this item

    Keywords

    Classic epidemic model; reproduction number; contact rate; COVID-19; mathematics of highly infectious diseases; public health;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
    • J11 - Labor and Demographic Economics - - Demographic Economics - - - Demographic Trends, Macroeconomic Effects, and Forecasts

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