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Periodic recurrent waves of Covid-19 epidemics and vaccination campaign

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  • Campi, Gaetano
  • Bianconi, Antonio

Abstract

While understanding of periodic recurrent waves of Covid-19 epidemics would aid to combat the pandemics, quantitative analysis of data over a two years period from the outbreak, is lacking. The complexity of Covid-19 recurrent waves is related with the concurrent role of i) the containment measures enforced to mitigate the epidemics spreading ii) the rate of viral gene mutations, and iii) the variable immune response of the host implemented by vaccination. This work focuses on the effect of massive vaccination and gene variants on the recurrent waves in a representative case of countries enforcing mitigation and vaccination strategy. The spreading rate is measured by the ratio between the reproductive number Rt(t) and the doubling time Td(t) called RIC-index and the daily fatalities number. The dynamics of the Covid-19 epidemics have been studied by wavelet analysis and represented by a non-linear helicoid vortex in a 3D space where both RIC-index and fatalities change with time. The onset of periodic recurrent waves has been identified by the transition from convergent to divergent trajectories on the helicoid vortex. We report a main period of recurrent waves of 120 days and the elongation of this period after the vaccination campaign.

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  • Campi, Gaetano & Bianconi, Antonio, 2022. "Periodic recurrent waves of Covid-19 epidemics and vaccination campaign," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    • Handle: RePEc:eee:chsofr:v:160:y:2022:i:c:s096007792200426x
    DOI: 10.1016/j.chaos.2022.112216
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    1. Bernd Blasius & Amit Huppert & Lewi Stone, 1999. "Complex dynamics and phase synchronization in spatially extended ecological systems," Nature, Nature, vol. 399(6734), pages 354-359, May.
    2. Ziff, Robert M., 2021. "Percolation and the pandemic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).
    3. Fanelli, Duccio & Piazza, Francesco, 2020. "Analysis and forecast of COVID-19 spreading in China, Italy and France," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    4. Daniel Navarro-Urrios & Néstor E. Capuj & Martín F. Colombano & P. David García & Marianna Sledzinska & Francesc Alzina & Amadeu Griol & Alejandro Martínez & Clivia M. Sotomayor-Torres, 2017. "Nonlinear dynamics and chaos in an optomechanical beam," Nature Communications, Nature, vol. 8(1), pages 1-10, April.
    5. B. T. Grenfell & O. N. Bjørnstad & J. Kappey, 2001. "Travelling waves and spatial hierarchies in measles epidemics," Nature, Nature, vol. 414(6865), pages 716-723, December.
    6. Francisco Arroyo-Marioli & Francisco Bullano & Simas Kucinskas & Carlos Rondón-Moreno, 2021. "Tracking R of COVID-19: A new real-time estimation using the Kalman filter," PLOS ONE, Public Library of Science, vol. 16(1), pages 1-16, January.
    7. Ewen Callaway, 2021. "Beyond Omicron: what’s next for COVID’s viral evolution," Nature, Nature, vol. 600(7888), pages 204-207, December.
    8. Gaetano Valenza & Luca Citi & Riccardo Barbieri, 2014. "Estimation of Instantaneous Complex Dynamics through Lyapunov Exponents: A Study on Heartbeat Dynamics," PLOS ONE, Public Library of Science, vol. 9(8), pages 1-17, August.
    9. Cadoni, Mariano, 2020. "How to reduce epidemic peaks keeping under control the time-span of the epidemic," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    10. Derek A.T. Cummings & Rafael A. Irizarry & Norden E. Huang & Timothy P. Endy & Ananda Nisalak & Kumnuan Ungchusak & Donald S. Burke, 2004. "Travelling waves in the occurrence of dengue haemorrhagic fever in Thailand," Nature, Nature, vol. 427(6972), pages 344-347, January.
    11. Xin Fang & Jihong Wen & Bernard Bonello & Jianfei Yin & Dianlong Yu, 2017. "Ultra-low and ultra-broad-band nonlinear acoustic metamaterials," Nature Communications, Nature, vol. 8(1), pages 1-11, December.
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