IDEAS home Printed from https://ideas.repec.org/p/ris/qmetal/2022_001.html
   My bibliography  Save this paper

A Simple Endemic Growth Model for Undergraduates

Author

Listed:
  • Carmona, Julio

    (University of Alicante, D. Quantitative Methods and Economic Theory)

Abstract

The coronavirus SARS-CoV-2 has changed dramatically our lives. Most economic analysis have focused on its short run effects. However, its persistence could raise concerns about its long-run consequences. This is, unfortunately, the case for many emergent countries suffering endemic diseases. To illustrate to our undergraduate students the important consequences of persistent infectious diseases, I couple the standard Solow model, taught in any introductory course to economic growth, with a simple model of persistent diseases, the so called SIS model. Additionally, this will also illustrate the usefulness of the well known Lyapunov theorem, an essential tool for the convergence analysis in many dynamical systems.

Suggested Citation

  • Carmona, Julio, 2022. "A Simple Endemic Growth Model for Undergraduates," QM&ET Working Papers 22-1, University of Alicante, D. Quantitative Methods and Economic Theory, revised 03 Mar 2022.
  • Handle: RePEc:ris:qmetal:2022_001
    as

    Download full text from publisher

    File URL: https://web.ua.es/es/dmcte/documentos/qmetwp2201.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Goenka, Aditya & Liu, Lin & Nguyen, Manh-Hung, 2021. "SIR economic epidemiological models with disease induced mortality," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    2. Aditya Goenka & Lin Liu, 2020. "Infectious diseases, human capital and economic growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 1-47, July.
    3. Christopher Avery & William Bossert & Adam Clark & Glenn Ellison & Sara Fisher Ellison, 2020. "An Economist's Guide to Epidemiology Models of Infectious Disease," Journal of Economic Perspectives, American Economic Association, vol. 34(4), pages 79-104, Fall.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Carmona, Julio & León, ángel, 2021. "Pandemic Effects in the Solow Growth Model," QM&ET Working Papers 21-1, University of Alicante, D. Quantitative Methods and Economic Theory, revised 07 Apr 2022.
    2. Goenka, Aditya & Liu, Lin & Nguyen, Manh-Hung, 2021. "COVID-19 and a Green Recovery?," Economic Modelling, Elsevier, vol. 104(C).
    3. Aditya Goenka & Lin Liu & Manh-Hung Nguyen, 2021. "Modeling optimal quarantines with waning immunity," Discussion Papers 21-10, Department of Economics, University of Birmingham.
    4. Carmona, Julio, 2024. "Using the Solow Growth Model. The Impact of Endemic Diseases on Economic Growth," QM&ET Working Papers 24-1, University of Alicante, D. Quantitative Methods and Economic Theory.
    5. Guimarães, Luís, 2021. "Antibody tests: They are more important than we thought," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    6. Luca Gori & Cristiana Mammana & Piero Manfredi & Elisabetta Michetti, 2022. "Economic development with deadly communicable diseases and public prevention," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(5), pages 912-943, October.
    7. Zachariah Sinkala & Vajira Manathunga & Bichaka Fayissa, 2022. "An Epidemic Compartment Model for Economic Policy Directions for Managing Future Pandemic," Papers 2202.05374, arXiv.org.
    8. Cozzi, Guido & Galli, Silvia, 2022. "Covid-19 Vaccines, Innovation, and Intellectual Property Rights," GLO Discussion Paper Series 1095, Global Labor Organization (GLO).
    9. Zhigang Feng & Anne Villamil, 2022. "Funding employer-based insurance: regressive taxation and premium exclusions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 509-540, April.
    10. Cui Zhang & Dandan Zhang, 2023. "Spatial Interactions and the Spread of COVID-19: A Network Perspective," Computational Economics, Springer;Society for Computational Economics, vol. 62(1), pages 383-405, June.
    11. Philippe De Donder & Humberto Llavador & Stefan Penczynski & John E. Roemer & Roberto Vélez, 2021. "A game-theoretic analysis of childhood vaccination behavior: Nash versus Kant," Economics Working Papers 1808, Department of Economics and Business, Universitat Pompeu Fabra.
    12. La Torre, Davide & Liuzzi, Danilo & Marsiglio, Simone, 2021. "Epidemics and macroeconomic outcomes: Social distancing intensity and duration," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    13. Bouveret, Géraldine & Mandel, Antoine, 2021. "Social interactions and the prophylaxis of SI epidemics on networks," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    14. Daniel L. Millimet & Christopher F. Parmeter, 2022. "COVID‐19 severity: A new approach to quantifying global cases and deaths," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 185(3), pages 1178-1215, July.
    15. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle, 2021. "Optimal prevention and elimination of infectious diseases," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    16. Giorgio Fabbri & Salvatore Federico & Davide Fiaschi & Fausto Gozzi, 2024. "Mobility decisions, economic dynamics and epidemic," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 495-531, February.
    17. Goenka, Aditya & Liu, Lin & Nguyen, Manh-Hung, 2021. "SIR economic epidemiological models with disease induced mortality," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    18. Jonas E. Arias & Jesús Fernández-Villaverde & Juan F. Rubio-Ramirez & Minchul Shin, 2021. "Bayesian Estimation of Epidemiological Models: Methods, Causality, and Policy Trade-Offs," Working Papers 21-18, Federal Reserve Bank of Philadelphia.
    19. Yinon Bar-On & Tatiana Baron & Ofer Cornfeld & Eran Yashiv, 2023. "When to Lock, Not Whom: Managing Epidemics Using Time-Based Restrictions," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 292-321, December.
    20. Michael Freiberger & Dieter Grass & Michael Kuhn & Andrea Seidl & Stefan Wrzaczek, 2022. "Chasing up and locking down the virus: Optimal pandemic interventions within a network," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(5), pages 1182-1217, October.

    More about this item

    Keywords

    SIS Model; Solow Model; Lyapunov Theorem;
    All these keywords.

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • I15 - Health, Education, and Welfare - - Health - - - Health and Economic Development
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ris:qmetal:2022_001. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Julio Carmona (email available below). General contact details of provider: https://edirc.repec.org/data/dmalies.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.