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Impact of contact rate on epidemic spreading in complex networks

Author

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  • Huayan Pei

    (Lanzhou Jiaotong University
    Key Laboratory of Media Convergence Technology and Communication)

  • Guanghui Yan

    (Lanzhou Jiaotong University
    Key Laboratory of Media Convergence Technology and Communication)

  • Yaning Huang

    (Key Laboratory of Media Convergence Technology and Communication
    Gansu Daily Newspaper Industry Group)

Abstract

Contact reduction is an effective strategy to mitigate the spreading of epidemic. However, the existing reaction–diffusion equations for infectious disease are unable to characterize this effect. Thus, we here propose an extended susceptible-infected-recovered model by incorporating contact rate into the standard SIR model, and concentrate on investigating its impact on epidemic transmission. We analytically derive the epidemic thresholds on homogeneous and heterogeneous networks, respectively. The effects of contact rate on spreading speed, scale and outbreak threshold are explored on ER and SF networks. Simulations results show that epidemic dissemination is significantly mitigated when contact rate is reduced. Importantly, epidemic spreads faster on heterogeneous networks while broader on homogeneous networks, and the outbreak thresholds of the former are smaller. Graphical abstract

Suggested Citation

  • Huayan Pei & Guanghui Yan & Yaning Huang, 2023. "Impact of contact rate on epidemic spreading in complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(4), pages 1-7, April.
    • Handle: RePEc:spr:eurphb:v:96:y:2023:i:4:d:10.1140_epjb_s10051-023-00513-2
    DOI: 10.1140/epjb/s10051-023-00513-2
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    References listed on IDEAS

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    1. Nekovee, M. & Moreno, Y. & Bianconi, G. & Marsili, M., 2007. "Theory of rumour spreading in complex social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 457-470.
    2. Jeffrey E. Harris, 2020. "The Subways Seeded the Massive Coronavirus Epidemic in New York City," NBER Working Papers 27021, National Bureau of Economic Research, Inc.
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    Cited by:

    1. Lv, Xijian & Fan, Dongmei & Yang, Junxian & Li, Qiang & Zhou, Li, 2024. "Delay differential equation modeling of social contagion with higher-order interactions," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    2. J. J. Esquivel-Gómez & J. G. Barajas-Ramírez, 2024. "Rapid disease spread on dense networks with power-law topology," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(5), pages 1-10, May.

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