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Toward a generalized theory of epidemic awareness in social networks

Author

Listed:
  • Qingchu Wu

    (College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, P. R. China)

  • Wenfang Zhu

    (College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, P. R. China)

Abstract

We discuss the dynamics of a susceptible-infected-susceptible (SIS) model with local awareness in networks. Individual awareness to the infectious disease is characterized by a general function of epidemic information in its neighborhood. We build a high-accuracy approximate equation governing the spreading dynamics and derive an approximate epidemic threshold above which the epidemic spreads over the whole network. Our results extend the previous work and show that the epidemic threshold is dependent on the awareness function in terms of one infectious neighbor. Interestingly, when a pow-law awareness function is chosen, the epidemic threshold can emerge in infinite networks.

Suggested Citation

  • Qingchu Wu & Wenfang Zhu, 2017. "Toward a generalized theory of epidemic awareness in social networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(05), pages 1-9, May.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:05:n:s012918311750070x
    DOI: 10.1142/S012918311750070X
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    Cited by:

    1. Zhou, Rong & Wu, Qingchu, 2019. "Epidemic spreading dynamics on complex networks with adaptive social-support," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 778-787.

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