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

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  • Chryssi Giannitsarou
  • Stephen Kissler
  • Flavio Toxvaerd

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 United States, 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

  • Chryssi Giannitsarou & Stephen Kissler & Flavio Toxvaerd, 2021. "Waning Immunity and the Second Wave: Some Projections for SARS-CoV-2," American Economic Review: Insights, American Economic Association, vol. 3(3), pages 321-338, September.
  • Handle: RePEc:aea:aerins:v:3:y:2021:i:3:p:321-38
    DOI: 10.1257/aeri.20200343
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    References listed on IDEAS

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    More about this item

    JEL classification:

    • 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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