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Dynamics of an alcoholism model on complex networks with community structure and voluntary drinking

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  • Huo, Hai-Feng
  • Xue, Hui-Ning
  • Xiang, Hong

Abstract

A new alcoholism model on scale-free networks with community structure and voluntary drinking is introduced. Local and global stability of all the equilibria of our model with two communities for some special cases are investigated. Numerical simulations are also conducted to explain and extend our analytic results. Our results show that the effects of voluntary drinking and transmission rate between different community structure on dynamics of our model are important.

Suggested Citation

  • Huo, Hai-Feng & Xue, Hui-Ning & Xiang, Hong, 2018. "Dynamics of an alcoholism model on complex networks with community structure and voluntary drinking," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 880-890.
    • Handle: RePEc:eee:phsmap:v:505:y:2018:i:c:p:880-890
    DOI: 10.1016/j.physa.2018.04.024
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    References listed on IDEAS

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    1. Xiang, Hong & Liu, Ying-Ping & Huo, Hai-Feng, 2017. "Stability of an SAIRS alcoholism model on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 276-292.
    2. Zhang, Yan & Friend, A.J. & Traud, Amanda L. & Porter, Mason A. & Fowler, James H. & Mucha, Peter J., 2008. "Community structure in Congressional cosponsorship networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(7), pages 1705-1712.
    3. Huo, Hai-Feng & Cui, Fang-Fang & Xiang, Hong, 2018. "Dynamics of an SAITS alcoholism model on unweighted and weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 249-262.
    4. Paul Ormerod & Greg Wiltshire, 2009. "‘Binge’ drinking in the UK: a social network phenomenon," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 8(2), pages 135-152, December.
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    Cited by:

    1. Crokidakis, Nuno & Sigaud, Lucas, 2021. "Modeling the evolution of drinking behavior: A Statistical Physics perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).

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