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The evolution of COVID-19: A discontinuous approach

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  • Doménech-Carbó, Antonio
  • Doménech-Casasús, Clara

Abstract

The evolution of the COVID-19 disease is monitored on the basis of the daily number of infected patients and the daily number of deaths provided from national health agencies. The variation of such parameters with time parallels that described for the growth/decay of historic transportation systems revealing the appearance of discontinuities. The evolution of the pandemic disease is represented in terms of two nominally equivalent formulations: a logistic model with sharp changes in its rate parameters, and in topological terms resulting in 2nd order phase transitions in the infected patients/time space.

Suggested Citation

  • Doménech-Carbó, Antonio & Doménech-Casasús, Clara, 2021. "The evolution of COVID-19: A discontinuous approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).
  • Handle: RePEc:eee:phsmap:v:568:y:2021:i:c:s0378437121000248
    DOI: 10.1016/j.physa.2021.125752
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    References listed on IDEAS

    as
    1. Jia, Tao & Qin, Kun & Shan, Jie, 2014. "An exploratory analysis on the evolution of the US airport network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 266-279.
    2. Yang, Zhijie & Chen, Xiaolong, 2018. "Evolution assessment of Shanghai Urban Rail Transit Network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 1263-1274.
    3. Argolo, C. & Quintino, Yan & Gleria, Iram & Lyra, M.L., 2011. "Finite-size scaling analysis of the critical behavior of a general epidemic process in 2D," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(8), pages 1433-1439.
    4. West, Bruce J., 2015. "Exact solution to fractional logistic equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 103-108.
    5. Li, Ruiqi & Richmond, Peter & Roehner, Bertrand M., 2018. "Effect of population density on epidemics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 713-724.
    6. Liu, Qun & Jiang, Daqing, 2020. "Threshold behavior in a stochastic SIR epidemic model with Logistic birth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    7. Jeong, Darae & Lee, Chang Hyeong & Choi, Yongho & Kim, Junseok, 2016. "The daily computed weighted averaging basic reproduction number R0,k,ωn for MERS-CoV in South Korea," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 190-197.
    8. Chen, Yanguang, 2012. "Fractal dimension evolution and spatial replacement dynamics of urban growth," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 115-124.
    9. Vlad, Marcel Ovidiu & Schönfisch, Birgitt & Lacoursière, Claude, 1996. "Statistical-mechanical analogies for space-dependent epidemics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 229(3), pages 365-401.
    10. D’Ovidio, Mirko & Loreti, Paola, 2018. "Solutions of fractional logistic equations by Euler’s numbers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 1081-1092.
    11. Redelico, Francisco O. & Proto, Araceli N. & Ausloos, Marcel, 2008. "Power law for the duration of recession and prosperity in Latin American countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6330-6336.
    12. Chen, Yanguang, 2014. "An allometric scaling relation based on logistic growth of cities," Chaos, Solitons & Fractals, Elsevier, vol. 65(C), pages 65-77.
    13. Avramov, I., 2007. "Kinetics of distribution of infections in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 615-620.
    14. Zhang, Jun & Cao, Xian-Bin & Du, Wen-Bo & Cai, Kai-Quan, 2010. "Evolution of Chinese airport network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3922-3931.
    15. Chen, Yanguang & Huang, Linshan, 2019. "Modeling growth curve of fractal dimension of urban form of Beijing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1038-1056.
    16. Fan, Dongmei & Jiang, Guo-Ping & Song, Yu-Rong & Zhang, Xu, 2019. "Influence of geometric correlations on epidemic spreading in multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
    17. Yu, Xiao-ling & Wang, Xiao-yu & Zhang, Duan-ming & Liang, Fang & Wu, Xiao, 2008. "Mathematical expressions for epidemics and immunization in small-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1421-1430.
    18. Wang, Xingyuan & Zhao, Tianfang & Qin, Xiaomeng, 2016. "Model of epidemic control based on quarantine and message delivery," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 168-178.
    19. Fu, Libi & Song, Weiguo & Lv, Wei & Lo, Siuming, 2014. "Simulation of emotional contagion using modified SIR model: A cellular automaton approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 380-391.
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