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Strong ties promote the epidemic prevalence in susceptible–infected–susceptible spreading dynamics

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  • Cui, Ai-Xiang
  • Yang, Zimo
  • Zhou, Tao

Abstract

We propose a weighted susceptible–infected–susceptible model on complex networks, where the weight of an edge is defined by the topological proximity of the two associated nodes. Each infected individual is allowed to select a limited number of neighbors to contact, and a tunable parameter is introduced to control the preference to contact through high-weight or low-weight edges. Simulation results on six real networks show that the epidemic prevalence can be largely promoted when strong ties are favored. By comparing with two statistical null models, we show that the distribution pattern of weights, rather than the topological structure, mainly contributes to the observations. Further analysis suggests that the weight–weight correlation strongly affects the results: high-weight edges are more significant in keeping high epidemic prevalence when the weight–weight correlation is positive.

Suggested Citation

  • Cui, Ai-Xiang & Yang, Zimo & Zhou, Tao, 2016. "Strong ties promote the epidemic prevalence in susceptible–infected–susceptible spreading dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 335-342.
    • Handle: RePEc:eee:phsmap:v:445:y:2016:i:c:p:335-342
    DOI: 10.1016/j.physa.2015.10.021
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    1. Unknown, 1996. "Newsletter Spring 1996," Institute on Global Conflict and Cooperation, Working Paper Series qt0kg7492b, Institute on Global Conflict and Cooperation, University of California.
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    Cited by:

    1. Yin, Likang & Deng, Yong, 2018. "Toward uncertainty of weighted networks: An entropy-based model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 176-186.

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