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The complex interplay between COVID-19 and economic activity

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  • Cerqueti, Roy
  • Tramontana, Fabio
  • Ventura, Marco

Abstract

We introduce a dynamical system to model the complex interaction between COVID-19 and economic activity. The model introduces some novelties not accounted by SIR-like models. The equilibrium of the system is an unstable focus, with fluctuations having increasing size and periodicity. Numerical simulations of the model produce waves which reproduce the pandemic dynamics. In observing the stylized facts linking economics and pandemic and stating related reasonable assumptions, we obtain a Lotka–Volterra co-dynamics. This outcome is confirmed by extensive simulations. The outcomes obtained qualitatively replicate some important stylized facts deepening the knowledge about the role of some parameters in their origin and eventually in their shaping.

Suggested Citation

  • Cerqueti, Roy & Tramontana, Fabio & Ventura, Marco, 2022. "The complex interplay between COVID-19 and economic activity," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 97-107.
    • Handle: RePEc:eee:matsoc:v:119:y:2022:i:c:p:97-107
    DOI: 10.1016/j.mathsocsci.2022.07.003
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    1. 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.
    2. Coibion, Olivier & Gorodnichenko, Yuriy & Weber, Michael, 2025. "The cost of the COVID-19 crisis: Lockdowns, macroeconomic expectations, and consumer spending," Journal of Economic Behavior & Organization, Elsevier, vol. 229(C).
    3. Daron Acemoglu & Victor Chernozhukov & Iván Werning & Michael D. Whinston, 2021. "Optimal Targeted Lockdowns in a Multigroup SIR Model," American Economic Review: Insights, American Economic Association, vol. 3(4), pages 487-502, December.
    4. Goenka, Aditya & Liu, Lin & Nguyen, Manh-Hung, 2014. "Infectious diseases and economic growth," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 34-53.
    5. Dizioli, Allan & Pinheiro, Roberto, 2021. "Information and inequality in the time of a pandemic," Journal of Economic Dynamics and Control, Elsevier, vol. 130(C).
    6. Ling Zhong, 2021. "A dynamic pandemic model evaluating reopening strategies amid COVID-19," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-19, March.
    7. Ewen Gallic & Michel Lubrano & Pierre Michel, 2022. "Optimal lockdowns for COVID‐19 pandemics: Analyzing the efficiency of sanitary policies in Europe," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(5), pages 944-967, October.
    8. Glover, Andrew & Heathcote, Jonathan & Krueger, Dirk & Ríos-Rull, José-Víctor, 2023. "Health versus wealth: On the distributional effects of controlling a pandemic," Journal of Monetary Economics, Elsevier, vol. 140(C), pages 34-59.
    9. Roy Cerqueti & Raffaella Coppier & Alessandro Girardi & Marco Ventura, 2022. "The sooner the better: lives saved by the lockdown during the COVID-19 outbreak. The case of Italy," The Econometrics Journal, Royal Economic Society, vol. 25(1), pages 46-70.
    10. Jacek Rothert, 2021. "Optimal federal transfers during uncoordinated response to a pandemic," GRAPE Working Papers 58, GRAPE Group for Research in Applied Economics.
    11. Graham, James & Ozbilgin, Murat, 2021. "Age, industry, and unemployment risk during a pandemic lockdown," Journal of Economic Dynamics and Control, Elsevier, vol. 133(C).
    12. Andrew I. Friedson & Drew McNichols & Joseph J. Sabia & Dhaval Dave, 2021. "Shelter‐In‐Place Orders And Public Health: Evidence From California During The Covid‐19 Pandemic," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 40(1), pages 258-283, January.
    13. Giovanni Pellegrino & Federico Ravenna & Gabriel Züllig, 2021. "The Impact of Pessimistic Expectations on the Effects of COVID‐19‐Induced Uncertainty in the Euro Area," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 83(4), pages 841-869, August.
    14. Fernando Alvarez & David Argente & Francesco Lippi, 2021. "A Simple Planning Problem for COVID-19 Lock-down, Testing, and Tracing," American Economic Review: Insights, American Economic Association, vol. 3(3), pages 367-382, September.
    15. Eleanor J. Murray, 2020. "Epidemiology's Time of Need: COVID-19 Calls for Epidemic-Related Economics," Journal of Economic Perspectives, American Economic Association, vol. 34(4), pages 105-120, Fall.
    16. 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.
    17. Callum Jones & Thomas Philippon & Venky Venkateswaran, 2021. "Optimal Mitigation Policies in a Pandemic: Social Distancing and Working from Home [A simple planning problem for covid-19 lockdown]," The Review of Financial Studies, Society for Financial Studies, vol. 34(11), pages 5188-5223.
    18. Michael Droste & James H. Stock, 2021. "Adapting to the COVID-19 Pandemic," AEA Papers and Proceedings, American Economic Association, vol. 111, pages 351-355, May.
    19. Faria-e-Castro, Miguel, 2021. "Fiscal policy during a pandemic," Journal of Economic Dynamics and Control, Elsevier, vol. 125(C).
    20. Goolsbee, Austan & Syverson, Chad, 2021. "Fear, lockdown, and diversion: Comparing drivers of pandemic economic decline 2020," Journal of Public Economics, Elsevier, vol. 193(C).
    21. Ewen Gallic & Michel Lubrano & Pierre Michel, 2021. "Optimal lockdowns for COVID‐19 pandemics: Analyzing the efficiency of sanitary policies in Europe," Post-Print hal-03448747, HAL.
    22. Buso, Irene Maria & De Caprariis, Sofia & Di Cagno, Daniela & Ferrari, Lorenzo & Larocca, Vittorio & Marazzi, Francesca & Panaccione, Luca & Spadoni, Lorenzo, 2020. "The effects of COVID-19 lockdown on fairness and cooperation: Evidence from a lablike experiment," Economics Letters, Elsevier, vol. 196(C).
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