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

Advances in Difference Equations

article

Kong, Yu¹  Li, Tao¹  Wang, Yuanmei¹  Cheng, Xinming²  Wang, He¹  Lei, Yangmei¹ 

[1] School of Electronics and Information, Yangtze University;College of Information Science and Engineering, Central South University

关键词: SHGD model;    Heterogeneity;    Psychological factors;    Anti-gambling policy;    Stability;    Persistence;   

DOI  :  10.1186/s13662-020-03165-z

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY