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  • 标题:Dynamics analysis of an online gambling spreading model on scale-free networks
  • 本地全文:下载
  • 作者:Yu Kong ; Tao Li ; Yuanmei Wang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2021
  • 卷号:2021
  • 期号:1
  • 页码:1
  • DOI:10.1186/s13662-020-03165-z
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Nowadays, online gambling has a great negative impact on the society. In order to study the effect of people’s psychological factors, anti-gambling policy, and social network topology on online gambling dynamics, a new SHGD (susceptible–hesitator–gambler–disclaimer) online gambling spreading model is proposed on scale-free networks. The spreading dynamics of online gambling is studied. The basic reproductive number $R_{0}$ is got and analyzed. The basic reproductive number $R_{0}$ is related to anti-gambling policy and the network topology. Then, gambling-free equilibrium $E_{0}$ and gambling-prevailing equilibrium $E_{ } $ are obtained. The global stability of $E_{0}$ is analyzed. The global attractivity of $E_{ } $ and the persistence of online gambling phenomenon are studied. Finally, the theoretical results are verified by some simulations.
  • 关键词:SHGD model ; Heterogeneity ; Psychological factors ; Anti-gambling policy ; Stability ; Persistence
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