文章基本信息

标题：Dynamics analysis of an online gambling spreading model on scale-free networks
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作者：Yu Kong ; Tao Li ; Yuanmei Wang 等
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