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Phase diagram of epidemic spreading — unimodal vs. bimodal probability distributions

Author

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  • Lančić, Alen
  • Antulov-Fantulin, Nino
  • Šikić, Mile
  • Štefančić, Hrvoje

Abstract

Disease spreading on complex networks is studied in SIR model. Simulations on empirical complex networks reveal two specific regimes of disease spreading: local containment and epidemic outbreak. The variables measuring the extent of disease spreading are in general characterized by a bimodal probability distribution. Phase diagrams of disease spreading for empirical complex networks are introduced. A theoretical model of disease spreading on m-ary tree is investigated both analytically and in simulations. It is shown that the model reproduces qualitative features of phase diagrams of disease spreading observed in empirical complex networks. The role of tree-like structure of complex networks in disease spreading is discussed.

Suggested Citation

  • Lančić, Alen & Antulov-Fantulin, Nino & Šikić, Mile & Štefančić, Hrvoje, 2011. "Phase diagram of epidemic spreading — unimodal vs. bimodal probability distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(1), pages 65-76.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:1:p:65-76
    DOI: 10.1016/j.physa.2010.06.024
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    Cited by:

    1. Gregory Gutin & Tomohiro Hirano & Sung-Ha Hwang & Philip R. Neary & Alexis Akira Toda, 2021. "The effect of social distancing on the reach of an epidemic in social networks," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 16(3), pages 629-647, July.

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