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Does the “Delta Variant” affect the nonlinear dynamic characteristics of SARS-CoV-2 transmission?

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  • Wang, Jian
  • Yang, Mengdie
  • Lu, Lin
  • Shao, Wei

Abstract

In this paper, we analyzed the difference of nonlinear dynamic characteristics of SARS-CoV-2 transmission caused by ‘Delta Variant’. We selected the daily new diagnostic data of SARS-CoV-2 from 15 countries. Four different kinds of complexity metrics such as Kolmogorov complexity, Higuchi's Hurst exponent, Shannon entropy, and multifractal degrees were selected to explore the features of information content, persistence, randomness, multifractal complexity. Afterwards, Student's t-tests were performed to assess the presence of differences of these nonlinear dynamic characteristics for periods before and after “Delta Variant” appearance. The results of two-tailed Student's t-test showed that for all the nonlinear dynamic characteristics, the null hypothesis of equality of mean values were strongly rejected for the two periods. In addition, by one-tailed Student's t-test, we concluded that time series in “Delta period” exhibit higher value of Kolmogorov complexity and Shannon entropy, indicating a higher level of information content and randomness. On the other hand, the Higuchi's Hurst exponent in “Delta period” was lower, which showed the weaker persistent in this period. Moreover, the multifractal specturm width after “Delta” emergence were reduced, representing a more stable multifractality. The sources for the formation of multifractal features are also investigated.

Suggested Citation

  • Wang, Jian & Yang, Mengdie & Lu, Lin & Shao, Wei, 2022. "Does the “Delta Variant” affect the nonlinear dynamic characteristics of SARS-CoV-2 transmission?," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    • Handle: RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922005926
    DOI: 10.1016/j.chaos.2022.112382
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    1. Wang, Jian & Yan, Yan & Chen, Wenbing & Shao, Wei & Wang, Jian & Tang, Weiwei, 2021. "Equity-linked securities option pricing by fractional Brownian motion," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. Wang, Jian & Kim, Junseok & Shao, Wei & Nam, SeungHyon & Hong, Soon-Cheol, 2021. "Effect of oxytocin injection on fetal heart rate based on multifractal analysis," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    3. Lahmiri, Salim & Bekiros, Stelios & Salvi, Antonio, 2018. "Long-range memory, distributional variation and randomness of bitcoin volatility," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 43-48.
    4. Lahmiri, Salim & Bekiros, Stelios, 2018. "Chaos, randomness and multi-fractality in Bitcoin market," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 28-34.
    5. Schadner, Wolfgang, 2022. "U.S. Politics from a multifractal perspective," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    6. Lahmiri, Salim, 2017. "Multifractal analysis of Moroccan family business stock returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 183-191.
    7. Petra Mlcochova & Steven A. Kemp & Mahesh Shanker Dhar & Guido Papa & Bo Meng & Isabella A. T. M. Ferreira & Rawlings Datir & Dami A. Collier & Anna Albecka & Sujeet Singh & Rajesh Pandey & Jonathan B, 2021. "SARS-CoV-2 B.1.617.2 Delta variant replication and immune evasion," Nature, Nature, vol. 599(7883), pages 114-119, November.
    8. Wang, Jian & Shao, Wei & Kim, Junseok, 2020. "Analysis of the impact of COVID-19 on the correlations between crude oil and agricultural futures," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    9. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
    10. Wang, Jian & Shao, Wei & Ma, Chenmin & Chen, Wenbing & Kim, Junseok, 2021. "Co-movements between Shanghai Composite Index and some fund sectors in China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    11. Lahmiri, Salim, 2017. "On fractality and chaos in Moroccan family business stock returns and volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 29-39.
    12. Zunino, L. & Tabak, B.M. & Figliola, A. & Pérez, D.G. & Garavaglia, M. & Rosso, O.A., 2008. "A multifractal approach for stock market inefficiency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6558-6566.
    13. Shao, Wei & Wang, Jian, 2020. "Does the “ice-breaking” of South and North Korea affect the South Korean financial market?," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
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