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The spread of COVID-19 in Germany: An application of the SIRDH model

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  • Landsgesell, Lukas
  • Stadler, Manfred

Abstract

The paper studies the current COVID-19 pandemic by applying an adapted epidemiologic model, where each individual is in one of the five states 'susceptible', 'infected', 'removed', 'immune healthy' or 'dead'. We extend the basic model with time-invariant transition rates between these states by allowing for time-dependent infection rates as a consequence of lockdowns and social distancing policies as well as for time-dependent mortality rates as a result of changing infection patterns. Our model proves to be appropriate to calibrate and simulate the dynamics of COVID-19 pandemic in Germany between January and October 2020. We provide deeper insights about some key indicators such as the reproduction number, the effectiveness of non-pharmaceutical interventions, and the development of the infection and mortality rates.

Suggested Citation

  • Landsgesell, Lukas & Stadler, Manfred, 2020. "The spread of COVID-19 in Germany: An application of the SIRDH model," University of Tübingen Working Papers in Business and Economics 139, University of Tuebingen, Faculty of Economics and Social Sciences, School of Business and Economics.
    • Handle: RePEc:zbw:tuewef:139
    DOI: 10.15496/publikation-51021
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    References listed on IDEAS

    as
    1. Mitze, Timo & Kosfeld, Reinhold & Rode, Johannes & Wälde, Klaus, 2020. "Face masks considerably reduce COVID-19 cases in Germany," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 124130, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    2. Mitze, Timo & Kosfeld, Reinhold & Rode, Johannes & Wälde, Klaus, 2020. "Face masks considerably reduce COVID-19 cases in Germany," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 124587, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    3. Mitze, Timo & Kosfeld, Reinhold & Rode, Johannes & Wälde, Klaus, 2020. "Face Masks Considerably Reduce COVID-19 Cases in Germany: A Synthetic Control Method Approach," IZA Discussion Papers 13319, Institute of Labor Economics (IZA).
    4. Fernández-Villaverde, Jesús & Jones, Charles I., 2022. "Estimating and simulating a SIRD Model of COVID-19 for many countries, states, and cities," Journal of Economic Dynamics and Control, Elsevier, vol. 140(C).
    5. Seth Flaxman & Swapnil Mishra & Axel Gandy & H. Juliette T. Unwin & Thomas A. Mellan & Helen Coupland & Charles Whittaker & Harrison Zhu & Tresnia Berah & Jeffrey W. Eaton & Mélodie Monod & Azra C. Gh, 2020. "Estimating the effects of non-pharmaceutical interventions on COVID-19 in Europe," Nature, Nature, vol. 584(7820), pages 257-261, August.
    6. Felbermayr Gabriel & Hinz Julian & Chowdhry Sonali, 2021. "Après-ski: The spread of coronavirus from Ischgl through Germany," German Economic Review, De Gruyter, vol. 22(4), pages 415-446, November.
    7. Lembke B., 1918. "√ a. p," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 111(1), pages 709-712, February.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    COVID-19; SIRDH model; health behavior;
    All these keywords.

    JEL classification:

    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health

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