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An SEIR Infectious Disease Model with Testing and Conditional Quarantine

Author

Listed:
  • David Berger

    (Duke University)

  • Kyle Herkenhoff

    () (University of Minnesota)

  • Simon Mongey

    (The University of Chicago)

Abstract

We extend the baseline Susceptible-Exposed-Infectious-Recovered (SEIR) infectious disease epidemiology model to understand the role of testing and case-dependent quarantine. Our model nests the SEIR model. During a period of asymptomatic infection, testing can reveal infection that otherwise would only be revealed later when symptoms develop. Along with those displaying symptoms, such individuals are deemed known positive cases. Quarantine policy is case-dependent in that it can depend on whether a case is unknown, known positive, known negative, or recovered. Testing therefore makes possible the identification and quarantine of infected individuals and release of non-infected individuals. We fix a quarantine technology—a parameter determining the differential rate of transmission in quarantine—and compare simple testing and quarantine policies. We start with a baseline quarantine-only policy that replicates the rate at which individuals are entering quarantine in the US in March, 2020. We show that the total deaths that occur under this policy can be achieved under looser quarantine measures and a substantial increase in random testing of asymptomatic individuals. Testing at a higher rate in conjunction with targeted quarantine policies can (i) dampen the economic impact of the coronavirus and (ii) reduce peak symptomatic infections—relevant for hospital capacity constraints. Our model can be plugged into richer quantitative extensions of the SEIR model of the kind currently being used to forecast the effects of public health and economic policies.

Suggested Citation

  • David Berger & Kyle Herkenhoff & Simon Mongey, 2020. "An SEIR Infectious Disease Model with Testing and Conditional Quarantine," Working Papers 2020-017, Human Capital and Economic Opportunity Working Group.
  • Handle: RePEc:hka:wpaper:2020-017
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    File URL: http://humcap.uchicago.edu/RePEc/hka/wpaper/Berger_Herkenhoff_Mongey_2020_SEIR-infectious-model-testing-quarantine.pdf
    File Function: First version, March 24, 2020
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    Keywords

    symptoms; quarantine policy; economic impact of disease;
    All these keywords.

    JEL classification:

    • I10 - Health, Education, and Welfare - - Health - - - General
    • E17 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Forecasting and Simulation: Models and Applications
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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