IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v151y2021ics0960077921006299.html
   My bibliography  Save this article

A fractional-order model for CoViD-19 dynamics with reinfection and the importance of quarantine

Author

Listed:
  • Maurício de Carvalho, João P.S.
  • Moreira-Pinto, Beatriz

Abstract

Coronavirus disease 2019 (CoViD-19) is an infectious disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Among many symptoms, cough, fever and tiredness are the most common. People over 60 years old and with associated comorbidities are most likely to develop a worsening health condition. This paper proposes a non-integer order model to describe the dynamics of CoViD-19 in a standard population. The model incorporates the reinfection rate in the individuals recovered from the disease. Numerical simulations are performed for different values of the order of the fractional derivative and of reinfection rate. The results are discussed from a biological point of view.

Suggested Citation

  • Maurício de Carvalho, João P.S. & Moreira-Pinto, Beatriz, 2021. "A fractional-order model for CoViD-19 dynamics with reinfection and the importance of quarantine," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006299
    DOI: 10.1016/j.chaos.2021.111275
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921006299
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111275?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jay J. Van Bavel & Katherine Baicker & Paulo S. Boggio & Valerio Capraro & Aleksandra Cichocka & Mina Cikara & Molly J. Crockett & Alia J. Crum & Karen M. Douglas & James N. Druckman & John Drury & Oe, 2020. "Using social and behavioural science to support COVID-19 pandemic response," Nature Human Behaviour, Nature, vol. 4(5), pages 460-471, May.
    2. Ahmad, Shabir & Ullah, Aman & Al-Mdallal, Qasem M. & Khan, Hasib & Shah, Kamal & Khan, Aziz, 2020. "Fractional order mathematical modeling of COVID-19 transmission," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Isra Al-Shbeil & Noureddine Djenina & Ali Jaradat & Abdallah Al-Husban & Adel Ouannas & Giuseppe Grassi, 2023. "A New COVID-19 Pandemic Model including the Compartment of Vaccinated Individuals: Global Stability of the Disease-Free Fixed Point," Mathematics, MDPI, vol. 11(3), pages 1-15, January.

    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. Wanja Wolff & Corinna S. Martarelli & Julia Schüler & Maik Bieleke, 2020. "High Boredom Proneness and Low Trait Self-Control Impair Adherence to Social Distancing Guidelines during the COVID-19 Pandemic," IJERPH, MDPI, vol. 17(15), pages 1-10, July.
    2. Rabia Bokhari & Khurram Shahzad, 2022. "Explaining Resistance to the COVID-19 Preventive Measures: A Psychological Reactance Perspective," Sustainability, MDPI, vol. 14(8), pages 1-23, April.
    3. Vivek Shastry & D Cale Reeves & Nicholas Willems & Varun Rai, 2022. "Policy and behavioral response to shock events: An agent-based model of the effectiveness and equity of policy design features," PLOS ONE, Public Library of Science, vol. 17(1), pages 1-21, January.
    4. Chunhao Wei & Han Chen & Yee Ming Lee, 2022. "COVID-19 preventive measures and restaurant customers’ intention to dine out: the role of brand trust and perceived risk," Service Business, Springer;Pan-Pacific Business Association, vol. 16(3), pages 581-600, September.
    5. Yiting Guo & Jason Shachat & Matthew J. Walker & Lijia Wei, 2021. "Viral social media videos can raise pro-social behaviours when an epidemic arises," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 7(2), pages 120-138, December.
    6. Marijn H. C. Meijers & Christin Scholz & Ragnheiður “Heather” Torfadóttir & Anke Wonneberger & Marko Markov, 2022. "Learning from the COVID-19 pandemic to combat climate change: comparing drivers of individual action in global crises," Journal of Environmental Studies and Sciences, Springer;Association of Environmental Studies and Sciences, vol. 12(2), pages 272-282, June.
    7. Tobias Schlager & Ashley V. Whillans, 2022. "People underestimate the probability of contracting the coronavirus from friends," Palgrave Communications, Palgrave Macmillan, vol. 9(1), pages 1-11, December.
    8. Mukesh Kumar Swami & Tanu Gupta, 2021. "Psychological impact of fear-based messages in context of COVID 19," International Journal of Social Psychiatry, , vol. 67(8), pages 1081-1082, December.
    9. Laliotis, Ioannis & Minos, Dimitrios, 2022. "Religion, social interactions, and COVID-19 incidence in Western Germany," European Economic Review, Elsevier, vol. 141(C).
    10. Juvalta, Sibylle & Speranza, Camilla & Robin, Dominik & El Maohub, Yassmeen & Krasselt, Julia & Dreesen, Philipp & Dratva, Julia & Suggs, L. Suzanne, 2023. "Young people's media use and adherence to preventive measures in the “infodemic”: Is it masked by political ideology?," Social Science & Medicine, Elsevier, vol. 317(C).
    11. Hubert, Philipp & Abdel Hadi, Sascha & Mojzisch, Andreas & Häusser, Jan Alexander, 2022. "The effects of organizational climate on adherence to guidelines for COVID-19 prevention," Social Science & Medicine, Elsevier, vol. 292(C).
    12. Hamza Umer, 2023. "Stability of pro-sociality and trust amid the Covid-19: panel data from the Netherlands," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 50(1), pages 255-287, February.
    13. Quan-Hoang Vuong & Tam-Tri Le & Viet-Phuong La & Huyen Thanh Thanh Nguyen & Manh-Toan Ho & Quy Khuc & Minh-Hoang Nguyen, 2022. "Covid-19 vaccines production and societal immunization under the serendipity-mindsponge-3D knowledge management theory and conceptual framework," Palgrave Communications, Palgrave Macmillan, vol. 9(1), pages 1-12, December.
    14. Pierre Genest & Léo Trespeuch, 2022. "Internet users’ perception about the impact of the pandemic on sports sponsorship [La perception des internautes face à l'impact de la pandémie sur le mécénat sportif]," Working Papers hal-03945701, HAL.
    15. Jesper Akesson & Sam Ashworth-Hayes & Robert Hahn & Robert Metcalfe & Itzhak Rasooly, 2022. "Fatalism, beliefs, and behaviors during the COVID-19 pandemic," Journal of Risk and Uncertainty, Springer, vol. 64(2), pages 147-190, April.
    16. Bazzi, Samuel & Fiszbein, Martin & Gebresilasse, Mesay, 2021. "“Rugged individualism” and collective (in)action during the COVID-19 pandemic," Journal of Public Economics, Elsevier, vol. 195(C).
    17. Dorison, Charles A & Lerner, Jennifer S & Heller, Blake H & Rothman, Alexander J & Kawachi, Ichiro I & Wang, Ke & Rees, Vaughan W & Gill, Brian P & Gibbs, Nancy & Ebersole, Charles R & Vally, Zahir & , 2022. "In COVID-19 health messaging, loss framing increases anxiety with little-to-no concomitant benefits : Experimental evidence from 84 countries," Other publications TiSEM 235f67b6-6be5-4061-8693-3, Tilburg University, School of Economics and Management.
    18. Bahety, Girija & Bauhoff, Sebastian & Patel, Dev & Potter, James, 2021. "Texts don’t nudge: An adaptive trial to prevent the spread of COVID-19 in India," Journal of Development Economics, Elsevier, vol. 153(C).
    19. Ronnie Das & Wasim Ahmed, 2022. "Rethinking Fake News: Disinformation and Ideology during the time of COVID-19 Global Pandemic," IIM Kozhikode Society & Management Review, , vol. 11(1), pages 146-159, January.
    20. Tessa Coffeng & Elianne F. van Steenbergen & Femke de Vries & Niklas K. Steffens & Naomi Ellemers, 2023. "Reflective and decisive supervision: The role of participative leadership and team climate in joint decision‐making," Regulation & Governance, John Wiley & Sons, vol. 17(1), pages 290-309, January.

    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:eee:chsofr:v:151:y:2021:i:c:s0960077921006299. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.