IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v140y2020ics0960077920305166.html
   My bibliography  Save this article

Fractal signatures of the COVID-19 spread

Author

Listed:
  • Abbasi, M.
  • Bollini, A.L.
  • Castillo, J.L.B.
  • Deppman, A.
  • Guidio, J.P.
  • Matuoka, P.T.
  • Meirelles, A.D.
  • Policarpo, J.M.P.
  • Ramos, A.A.G.F.
  • Simionatto, S.
  • Varona, A.R.P.
  • Andrade-II, E.
  • Panjeh, H.
  • Trevisan, L.A.

Abstract

Recent quantitative approaches for studying several aspects of urban life and infrastructure have shown that scale properties allow the understanding of many features of urban infrastructure and of human activity in cities. In this paper, we show that COVID-19 virus contamination follows a similar pattern in different regions of the world. The superlinear power-law behavior for the number of contamination cases as a function of the city population, with exponent β of the order of 1.15 is always obtained. Due to the strong indication that scaling is a determinant feature of covid-19 spread, we propose an epidemiological model that embodies a fractal structure, allowing a more detailed description of the observed data about the virus spread in different countries and regions. The hypothesis that fractal structures can be formed in cities as well as in larger networks is tested, indicating that indeed self-similarity may be found in networks connecting several cities.

Suggested Citation

  • Abbasi, M. & Bollini, A.L. & Castillo, J.L.B. & Deppman, A. & Guidio, J.P. & Matuoka, P.T. & Meirelles, A.D. & Policarpo, J.M.P. & Ramos, A.A.G.F. & Simionatto, S. & Varona, A.R.P. & Andrade-II, E. & , 2020. "Fractal signatures of the COVID-19 spread," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    • Handle: RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920305166
    DOI: 10.1016/j.chaos.2020.110119
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077920305166
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2020.110119?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. Netto, Vinicius M. & Brigatti, Edgardo & Meirelles, João & Ribeiro, Fabiano L. & Pace, Bruno & Cacholas, Caio & Sanches, Patricia Mara, 2018. "Cities, from information to interaction," SocArXiv jgz5d, Center for Open Science.
    2. Luís M A Bettencourt & José Lobo & Deborah Strumsky & Geoffrey B West, 2010. "Urban Scaling and Its Deviations: Revealing the Structure of Wealth, Innovation and Crime across Cities," PLOS ONE, Public Library of Science, vol. 5(11), pages 1-9, November.
    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. Jahanshahi, Hadi & Munoz-Pacheco, Jesus M. & Bekiros, Stelios & Alotaibi, Naif D., 2021. "A fractional-order SIRD model with time-dependent memory indexes for encompassing the multi-fractional characteristics of the COVID-19," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

    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. Alves, L.G.A. & Ribeiro, H.V. & Lenzi, E.K. & Mendes, R.S., 2014. "Empirical analysis on the connection between power-law distributions and allometries for urban indicators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 409(C), pages 175-182.
    2. Anthony Goerzen & Christian Geisler Asmussen & Bo Bernhard Nielsen, 2024. "Global cities, the liability of foreignness, and theory on place and space in international business," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 55(1), pages 10-27, February.
    3. Huang, Siyu & Shi, Yi & Chen, Qinghua & Li, Xiaomeng, 2022. "The growth path of high-tech industries: Statistical laws and evolution demands," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    4. Shana M. Sundstrom & Craig R. Allen & David G. Angeler, 2020. "Scaling and discontinuities in the global economy," Journal of Evolutionary Economics, Springer, vol. 30(2), pages 319-345, April.
    5. Daan Francois Toerien, 2022. "Linking Entrepreneurial Activities and Community Prosperity/Poverty in United States Counties: Use of the Enterprise Dependency Index," Sustainability, MDPI, vol. 14(5), pages 1-16, February.
    6. Ruiqi Li & Lingyun Lu & Weiwei Gu & Shaodong Ma & Gang Xu & H. Eugene Stanley, 2020. "Assessing the attraction of cities on venture capital from a scaling law perspective," Papers 2011.06287, arXiv.org.
    7. J. Sylvan Katz & Guillermo Armando Ronda-Pupo, 2019. "Cooperation, scale-invariance and complex innovation systems: a generalization," Scientometrics, Springer;Akadémiai Kiadó, vol. 121(2), pages 1045-1065, November.
    8. Peter Mayerhofer & Oliver Fritz & Dieter Pennerstorfer, 2010. "Dritter Bericht zur internationalen Wettbewerbsfähigkeit Wiens," WIFO Studies, WIFO, number 42430, February.
    9. Brinkley, Catherine & Raj, Subhashni, 2022. "Perfusion and urban thickness: The shape of cities," Land Use Policy, Elsevier, vol. 115(C).
    10. Maria Fonoberova & Vladimir A. Fonoberov & Igor Mezic & Jadranka Mezic & P. Jeffrey Brantingham, 2012. "Nonlinear Dynamics of Crime and Violence in Urban Settings," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 15(1), pages 1-2.
    11. Alexander Jones Gross & Dhiraj Murthy & Lav R. Varshney, 2017. "Pace of Life in Cities and the Emergence of Town Tweeters," SAGE Open, , vol. 7(4), pages 21582440177, December.
    12. Moreno Bonaventura & Luca Maria Aiello & Daniele Quercia & Vito Latora, 2021. "Predicting urban innovation from the US Workforce Mobility Network," Palgrave Communications, Palgrave Macmillan, vol. 8(1), pages 1-9, December.
    13. Yves Bettignies & Joao Meirelles & Gabriela Fernandez & Franziska Meinherz & Paul Hoekman & Philippe Bouillard & Aristide Athanassiadis, 2019. "The Scale-Dependent Behaviour of Cities: A Cross-Cities Multiscale Driver Analysis of Urban Energy Use," Sustainability, MDPI, vol. 11(12), pages 1-20, June.
    14. Qingsong He & Lingping Huang & Jing Li, 2022. "Rediscovering the Scaling Law of Urban Land from a Multi-Scale Perspective—A Case Study of Wuhan," Land, MDPI, vol. 11(6), pages 1-15, June.
    15. Andres Gomez-Lievano & Oscar Patterson-Lomba, 2018. "Estimating the drivers of urban economic complexity and their connection to economic performance," Papers 1812.02842, arXiv.org, revised Sep 2021.
    16. Rafael Prieto Curiel & Luca Pappalardo & Lorenzo Gabrielli & Steven Richard Bishop, 2018. "Gravity and scaling laws of city to city migration," PLOS ONE, Public Library of Science, vol. 13(7), pages 1-19, July.
    17. Li, Zekun & Chen, Zhenhua, 2023. "Predicting the future development scale of high-speed rail through the urban scaling law," Transportation Research Part A: Policy and Practice, Elsevier, vol. 174(C).
    18. Sybil Derrible, 2012. "Network Centrality of Metro Systems," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-10, July.
    19. Vinicius M Netto & Edgardo Brigatti & Caio Cacholas, 2023. "From urban form to information: Cellular configurations in different spatial cultures," Environment and Planning B, , vol. 50(1), pages 146-161, January.
    20. John R. Hipp & Jae Hong Kim & Benjamin Forthun, 2021. "Proposing new measures of employment deconcentration and spatial dispersion across metropolitan areas in the US," Papers in Regional Science, Wiley Blackwell, vol. 100(3), pages 815-841, June.

    More about this item

    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:eee:chsofr:v:140:y:2020:i:c:s0960077920305166. 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.