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Waning Immunity and the Second Wave: Some Projections for SARS-CoV-2

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  • Giannitsarou, Chryssi
  • Kissler, Stephen
  • Toxvaerd, Flavio

Abstract

This paper offers projections of future transmission dynamics for SARS-CoV-2 in an SEIRS model with demographics and waning immunity. In a stylized optimal control setting calibrated to the USA, we show that the disease is endemic in steady state and that its dynamics are characterized by damped oscillations. The magnitude of the oscillations depends on how fast immunity wanes. The optimal social distancing policy both curbs peak prevalence and postpones the infection waves relative to the uncontrolled dynamics. Last, we perform sensitivity analysis with respect to the duration of immunity, the infection fatality rate and the planning horizon.

Suggested Citation

  • Giannitsarou, Chryssi & Kissler, Stephen & Toxvaerd, Flavio, 2020. "Waning Immunity and the Second Wave: Some Projections for SARS-CoV-2," CEPR Discussion Papers 14852, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:14852
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    1. Dirk Krueger & Harald Uhlig & Taojun Xie, 2022. "Macroeconomic dynamics and reallocation in an epidemic: evaluating the ‘Swedish solution’," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 37(110), pages 341-398.
    2. Fernando Alvarez & David Argente, 2020. "A Simple Planning Problem for COVID-19 Lockdown," Working Papers 2020-34, Becker Friedman Institute for Research In Economics.
    3. Dirk Kruger & Harald Uhlig & Taojun Xie, 2020. "Macroeconomic Dynamics and Reallocation in an Epidemic," Working Papers 2020-43, Becker Friedman Institute for Research In Economics.
    4. Rowthorn, Robert & Toxvaerd, Flavio, 2012. "The Optimal Control of Infectious Diseases via Prevention and Treatment," CEPR Discussion Papers 8925, C.E.P.R. Discussion Papers.
    5. 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]," The Review of Financial Studies, Society for Financial Studies, vol. 34(11), pages 5149-5187.
    6. Moll, Benjamin & Kaplan, Greg & Violante, Giovanni, 2020. "The Great Lockdown and the Big Stimulus: Tracing the Pandemic Possibility Frontier for the U.S," CEPR Discussion Papers 15256, C.E.P.R. Discussion Papers.
    7. B. T. Grenfell & O. N. Bjørnstad & J. Kappey, 2001. "Travelling waves and spatial hierarchies in measles epidemics," Nature, Nature, vol. 414(6865), pages 716-723, December.
    8. Andrew Atkeson, 2020. "What Will be the Economic Impact of COVID-19 in the US? Rough Estimates of Disease Scenarios," Staff Report 595, Federal Reserve Bank of Minneapolis.
    9. Toxvaerd, F.M.O, 2020. "Equilibrium Social Distancing," Cambridge Working Papers in Economics 2021, Faculty of Economics, University of Cambridge.
    10. Nicholas C. Grassly & Christophe Fraser & Geoffrey P. Garnett, 2005. "Host immunity and synchronized epidemics of syphilis across the United States," Nature, Nature, vol. 433(7024), pages 417-421, January.
    11. Flavio Toxvaerd, 2019. "Rational Disinhibition And Externalities In Prevention," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(4), pages 1737-1755, November.
    12. W.A. Brock & D. Starrett, 2003. "Managing Systems with Non-convex Positive Feedback," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 575-602, December.
    13. Brock, W. A. & Dochert, W. D., 1983. "The Generalized Maximum Principle," SSRI Workshop Series 292592, University of Wisconsin-Madison, Social Systems Research Institute.
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    More about this item

    Keywords

    Covid-19; Economic epidemiology; Social distancing; Waning immunity; Optimal policy for infection control; Seirs;
    All these keywords.

    JEL classification:

    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health

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