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Projecting the Spread of Covid-19 for Germany

Author

Listed:
  • Jean Roch Donsimoni
  • René Glawion
  • Bodo Plachter
  • Klaus Wälde

Abstract

We model the evolution of the number of individuals that are reported to be sick with Covid-19 in Germany. Our theoretical framework builds on a continuous time Markov chain with four states: healthy without infection, sick, healthy after recovery or after infection but without symptoms and dead. Our quantitative solution matches the number of sick individuals up to the most recent observation and ends with a share of sick individuals following from infection rates and sickness probabilities. We employ this framework to study inter alia the expected peak of the number of sick individuals in a scenario without public regulation of social contacts. We also study the effects of public regulations. For all scenarios we report the expected end of the CoV-2 epidemic.

Suggested Citation

  • Jean Roch Donsimoni & René Glawion & Bodo Plachter & Klaus Wälde, 2020. "Projecting the Spread of Covid-19 for Germany," CESifo Working Paper Series 8183, CESifo.
    • Handle: RePEc:ces:ceswps:_8183
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    References listed on IDEAS

    as
    1. Bayer, Christian & Rendall, Alan D. & Wälde, Klaus, 2019. "The invariant distribution of wealth and employment status in a small open economy with precautionary savings," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 17-37.
    2. Greg Kaplan & Benjamin Moll & Giovanni L. Violante, 2018. "Monetary Policy According to HANK," American Economic Review, American Economic Association, vol. 108(3), pages 697-743, March.
    3. Khieu, Hoang & Wälde, Klaus, 2023. "Capital income risk and the dynamics of the wealth distribution," Economic Modelling, Elsevier, vol. 122(C).
    4. Robert J. Barro & José F. Ursua & Joanna Weng, 2020. "The Coronavirus and the Great Influenza Epidemic - Lessons from the "Spanish Flu" for the Coronavirus's Potential Effects on Mortality and Economic Activity," CESifo Working Paper Series 8166, CESifo.
    5. Christian BAYER & Klaus WALDE, 2010. "Matching and Saving in Continuous Time: Proofs," LIDAM Discussion Papers IRES 2010014, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    6. Martin S Eichenbaum & Sergio Rebelo & Mathias Trabandt, 2021. "The Macroeconomics of Epidemics [Economic activity and the spread of viral diseases: Evidence from high frequency data]," Review of Financial Studies, Society for Financial Studies, vol. 34(11), pages 5149-5187.
    7. Andrew Caplin & John Leahy, 2001. "Psychological Expected Utility Theory and Anticipatory Feelings," The Quarterly Journal of Economics, Oxford University Press, vol. 116(1), pages 55-79.
    8. Mortensen, Dale T, 1982. "Property Rights and Efficiency in Mating, Racing, and Related Games," American Economic Review, American Economic Association, vol. 72(5), pages 968-979, December.
    9. Andrew Atkeson, 2020. "What Will Be the Economic Impact of COVID-19 in the US? Rough Estimates of Disease Scenarios," NBER Working Papers 26867, National Bureau of Economic Research, Inc.
    10. Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-894, October.
    11. Florian Dorn & Clemens Fuest & Marcell Göttert & Carla Krolage & Stefan Lautenbacher & Sebastian Link & Andreas Peichl & Magnus Reif & Stefan Sauer & Marc Stöckli & Klaus Wohlrabe & Timo Wollmershäuse, 2020. "The Economic Costs of the Coronavirus Shutdown for Germany: A Scenario Calculation," ifo Schnelldienst, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 73(04), pages 29-35, April.
    12. repec:aei:rpaper:1008560098 is not listed on IDEAS
    13. Mohammad Akbarpour & Matthew O. Jackson, 2018. "Diffusion in networks and the virtue of burstiness," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 115(30), pages 6996-7004, July.
    14. Robert J. Barro & José F. Ursúa & Joanna Weng, 2020. "The Coronavirus and the Great Influenza Pandemic: Lessons from the “Spanish Flu” for the Coronavirus’s Potential Effects on Mortality and Economic Activity," NBER Working Papers 26866, National Bureau of Economic Research, Inc.
    15. Pissarides, Christopher A, 1985. "Short-run Equilibrium Dynamics of Unemployment Vacancies, and Real Wages," American Economic Review, American Economic Association, vol. 75(4), pages 676-690, September.
    16. Christian BAYER & Klaus WALDE, 2010. "Matching and Saving in Continuous Time: Proofs," LIDAM Discussion Papers IRES 2010014, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    17. Christian Bayer & Klaus Wälde, 2010. "Matching and Saving in Continuous Time: Theory," Working Papers 1004, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz, revised 13 Jan 2010.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Jean Roch Donsimoni & René Glawion & Bodo Plachter & Klaus Wälde, 2020. "Projektion der COVID-19-Epidemie in Deutschland [Projecting the Spread of COVID-19 for Germany]," Wirtschaftsdienst, Springer;ZBW - Leibniz Information Centre for Economics, vol. 100(4), pages 272-276, April.
    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. Haghighat, Fatemeh, 2021. "Predicting the trend of indicators related to Covid-19 using the combined MLP-MC model," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    5. Busch, Christopher & Ludwig, Alexander & Santaeulàlia-Llopis, Raül, 2020. "Emerging evidence of a silver lining: A ridge walk to avoid an economic catastrophe in Italy and Spain," SAFE White Paper Series 67, Leibniz Institute for Financial Research SAFE.
    6. Wälde, Klaus, 2020. "How to Remove the Testing Bias in CoV-2 Statistics," IZA Discussion Papers 13785, Institute of Labor Economics (IZA).
    7. Gabler, Janos & Raabe, Tobias & Röhrl, Klara, 2020. "People Meet People: A Microlevel Approach to Predicting the Effect of Policies on the Spread of COVID-19," IZA Discussion Papers 13899, Institute of Labor Economics (IZA).
    8. Ulrich Glogowsky & Emanuel Hansen & Simeon Schächtele, 2020. "How Effective Are Social Distancing Policies? Evidence on the Fight against Covid-19 from Germany," CESifo Working Paper Series 8361, CESifo.
    9. Michael Berlemann & Erik Haustein, 2020. "Right and Yet Wrong: A Spatio-Temporal Evaluation of Germany's Covid-19 Containment Policy," CESifo Working Paper Series 8446, CESifo.
    10. Yakubenko, Slava, 2021. "Home alone? Effect of weather-induced behaviour on spread of SARS-CoV-2 in Germany," Economics & Human Biology, Elsevier, vol. 42(C).
    11. Khairulbahri, Muhamad, 2021. "Lessons learned from three Southeast Asian countries during the COVID-19 pandemic," Journal of Policy Modeling, Elsevier, vol. 43(6), pages 1354-1364.
    12. Tödter, Karl-Heinz, 2020. "Ein SIRD-Modell zur Infektionsdynamik mit endogener Behandlungskapazität und Lehren für Corona-Statistiken," IMFS Working Paper Series 141, Goethe University Frankfurt, Institute for Monetary and Financial Stability (IMFS).

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    More about this item

    Keywords

    Corona; Covid-19; SARS-CoV-2; spread of infection; Markov model; Germany; projection.;
    All these keywords.

    JEL classification:

    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
    • E17 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Forecasting and Simulation: Models and Applications
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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