Dynamics analysis of an online gambling spreading model on scale-free networks

被引:0
|
作者
Kong, Yu [1 ]
Li, Tao [1 ]
Wang, Yuanmei [1 ]
Cheng, Xinming [2 ]
Wang, He [1 ]
Lei, Yangmei [1 ]
机构
[1] Yangtze Univ, Sch Elect & Informat, Jingzhou 434023, Peoples R China
[2] Cent South Univ, Coll Informat Sci & Engn, Changsha 410083, Peoples R China
基金
中国国家自然科学基金;
关键词
SHGD model; Heterogeneity; Psychological factors; Anti-gambling policy; Stability; Persistence; EPIDEMIC MODEL;
D O I
10.1186/s13662-020-03165-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
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 R0 is got and analyzed. The basic reproductive number R0 is related to anti-gambling policy and the network topology. Then, gambling-free equilibrium E0 and gambling-prevailing equilibrium E+ are obtained. The global stability of E0 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.
引用
收藏
页数:17
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