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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
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    References listed on IDEAS

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    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.
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    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).
    2. Nie, Shiqian & Lei, Xiaochun, 2023. "A time-dependent model of the transmission of COVID-19 variants dynamics using Hausdorff fractal derivative," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).

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