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Virus Dynamics with Behavioral Responses

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  • Krishna Dasaratha

Abstract

Motivated by epidemics such as COVID-19, we study the spread of a contagious disease when behavior responds to the disease's prevalence. We extend the SIR epidemiological model to include endogenous meeting rates. Individuals benefit from economic activity, but activity involves interactions with potentially infected individuals. The main focus is a theoretical analysis of contagion dynamics and behavioral responses to changes in risk. We obtain a simple condition for when public-health interventions or variants of a disease will have paradoxical effects on infection rates due to risk compensation. Behavioral responses are most likely to undermine public-health interventions near the peak of severe diseases.

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  • Krishna Dasaratha, 2020. "Virus Dynamics with Behavioral Responses," Papers 2004.14533, arXiv.org, revised Sep 2023.
    • Handle: RePEc:arx:papers:2004.14533
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    1. Peter A. Diamond & Eric Maskin, 1979. "An Equilibrium Analysis of Search and Breach of Contract, I: Steady States," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 282-316, Spring.
    2. 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.
    3. Jeremy Greenwood & Philipp Kircher & Cezar Santos & Michèle Tertilt, 2019. "An Equilibrium Model of the African HIV/AIDS Epidemic," Econometrica, Econometric Society, vol. 87(4), pages 1081-1113, July.
    4. Farboodi, Maryam & Jarosch, Gregor & Shimer, Robert, 2021. "Internal and external effects of social distancing in a pandemic," Journal of Economic Theory, Elsevier, vol. 196(C).
    5. 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.
    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]," The Review of Financial Studies, Society for Financial Studies, vol. 34(11), pages 5149-5187.
    7. Luiz Brotherhood & Philipp Kircher & Cezar Santos & Michèle Tertilt, 2020. "An Economic Model of the Covid-19 Epidemic: The Importance of Testing and Age-Specific Policies," CESifo Working Paper Series 8316, CESifo.
    8. Zachary A. Bethune & Anton Korinek, 2020. "Covid-19 Infection Externalities: Trading Off Lives vs. Livelihoods," NBER Working Papers 27009, National Bureau of Economic Research, Inc.
    9. Daron Acemoglu & Victor Chernozhukov & Ivàn Werning & Michael D. Whinston, 2020. "A Multi-Risk SIR Model with Optimally Targeted Lockdown," CeMMAP working papers CWP14/20, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    10. Geoffard, Pierre-Yves & Philipson, Tomas, 1997. "Disease Eradication: Private versus Public Vaccination," American Economic Review, American Economic Association, vol. 87(1), pages 222-230, March.
    11. Michael Kremer, 1996. "Integrating Behavioral Choice into Epidemiological Models of AIDS," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(2), pages 549-573.
    12. Mark Gersovitz, 2011. "The Economics of Infection Control," Annual Review of Resource Economics, Annual Reviews, vol. 3(1), pages 277-296, October.
    13. John R. Birge & Ozan Candogan & Yiding Feng, 2022. "Controlling Epidemic Spread: Reducing Economic Losses with Targeted Closures," Management Science, INFORMS, vol. 68(5), pages 3175-3195, May.
    14. Auld, M. Christopher, 2003. "Choices, beliefs, and infectious disease dynamics," Journal of Health Economics, Elsevier, vol. 22(3), pages 361-377, May.
    15. Brotherhood, Luiz & Kircher, Philipp & Santos, Cezar & Tertilt, Michèle, 2020. "An economic model of the Covid-19 epidemic: The importance of testing and age-specific policies," CEPR Discussion Papers 14695, C.E.P.R. Discussion Papers.
    16. Brotherhood, Luiz & Kircher, Philipp & Santos, Cezar & Tertilt, Michèle, 2020. "An economic model of the Covid-19 epidemic: The importance of testing and age-specific policies," CEPR Discussion Papers 14695, C.E.P.R. Discussion Papers.
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    Cited by:

    1. Matthew Abiodun Dada, 2020. "COVID-19 Outbreak and Behavioral Maladjustments: A Shift from a Highly Globalized World to a Strange World of Unique Isolationism," Journal of Economics and Behavioral Studies, AMH International, vol. 12(4), pages 43-58.
    2. Martin F Quaas & Jasper N Meya & Hanna Schenk & Björn Bos & Moritz A Drupp & Till Requate, 2021. "The social cost of contacts: Theory and evidence for the first wave of the COVID-19 pandemic in Germany," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-29, March.
    3. Martin F. Quaas & Jasper N. Meya & Hanna Schenk & Björn Bos & Moritz A. Drupp & Till Requate, 2020. "The Social Cost of Contacts: Theory and Evidence for the Covid-19 Pandemic in Germany," CESifo Working Paper Series 8347, CESifo.
    4. Carnehl, Christoph & Fukuda, Satoshi & Kos, Nenad, 2023. "Epidemics with behavior," Journal of Economic Theory, Elsevier, vol. 207(C).

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