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The dynamics of epidemic spreading on signed networks

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  • Li, Hui-Jia
  • Xu, Wenzhe
  • Song, Shenpeng
  • Wang, Wen-Xuan
  • Perc, Matjaž

Abstract

Over the past two decades, epidemic spreading on complex network has been a vibrant and highly successful research avenue. The dynamics of epidemic spreading on signed networks has nonetheless received fairly little attention. Signed networks contain edges that are labeled as either positive or negative, in relation to their propensity to either accelerate or mitigate epidemic spreading. To that effect, we here propose a modified signed-susceptible-infectious-susceptible epidemiological model, which incorporates positive and negative transmission rates based on structural balance theory. We also consider dynamical transmission rates to determine the influence of structural balance on the dynamics of epidemic spreading. We use Erdős-Rényi random networks and Barabási-Albert scale-free networks, together with the Monte Carlo method, to determine the peak fraction of infected nodes and the epidemic thresholds. We also use the mean field analysis to show analytically the origin of the computationally obtained results, although of course the agreement is not perfect due to the impact of network structure.

Suggested Citation

  • Li, Hui-Jia & Xu, Wenzhe & Song, Shenpeng & Wang, Wen-Xuan & Perc, Matjaž, 2021. "The dynamics of epidemic spreading on signed networks," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006482
    DOI: 10.1016/j.chaos.2021.111294
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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.
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