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The adverse effects of large-scale vaccination on highly transmissible epidemics

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  • Zhou, Yinzuo
  • Liu, Yihan
  • Zhang, Xiyun
  • Zhou, Jie

Abstract

In this paper, we consider highly transmissible epidemics that incorporate a finite immunity period. Under the conditions where: (i) vaccines are partially effective, and (ii) hospital resources are limited, we find that large-scale vaccination may, however, lead to more cumulative infections as compared to small-scale vaccination. We demonstrate that the non-Markovian feature of the epidemic model plays an important role of this counterintuitive phenomenon, and we develop an approach to predict the thresholds of the epidemic process using a set of recurrent equations. Our findings may provide useful insights for administrative measures when encountering highly transmissible epidemics.

Suggested Citation

  • Zhou, Yinzuo & Liu, Yihan & Zhang, Xiyun & Zhou, Jie, 2025. "The adverse effects of large-scale vaccination on highly transmissible epidemics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 674(C).
  • Handle: RePEc:eee:phsmap:v:674:y:2025:i:c:s0378437125003747
    DOI: 10.1016/j.physa.2025.130722
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    References listed on IDEAS

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    1. Kristian Soltesz & Fredrik Gustafsson & Toomas Timpka & Joakim Jaldén & Carl Jidling & Albin Heimerson & Thomas B. Schön & Armin Spreco & Joakim Ekberg & Örjan Dahlström & Fredrik Bagge Carlson & Anna, 2020. "The effect of interventions on COVID-19," Nature, Nature, vol. 588(7839), pages 26-28, December.
    2. Zhou, Yinzuo & Zhou, Jie & Gao, Yanli & Xiao, Gaoxi, 2023. "Analytic prediction for the threshold of non-Markovian epidemic process on temporal networks," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. Gabriele Neumann & Takeshi Noda & Yoshihiro Kawaoka, 2009. "Emergence and pandemic potential of swine-origin H1N1 influenza virus," Nature, Nature, vol. 459(7249), pages 931-939, June.
    4. Yao, Yiyang & Zhou, Yinzuo, 2017. "Epidemic spreading on dual-structure networks with mobile agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 218-225.
    5. Mi Feng & Shi-Min Cai & Ming Tang & Ying-Cheng Lai, 2019. "Equivalence and its invalidation between non-Markovian and Markovian spreading dynamics on complex networks," Nature Communications, Nature, vol. 10(1), pages 1-10, December.
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