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.

如今，在线赌博已对社会产生了很大的负面影响。为了研究人们的心理因素，反赌博政策和社交网络拓扑结构对在线赌博动态的影响，提出了一种在无标度网络上的新的SHGD（易感者，犹豫者，赌徒，免责声明）在线赌博传播模型。研究了在线赌博的传播动力学。基本生殖数\（R_ {0} \）得到并分析。基本生殖数\（R_ {0} \）与反赌博策略和网络拓扑有关。然后，获得无赌博平衡\（E_ {0} \）和盛行赌博的平衡\（E _ {+} \）。\（E_ {0} \）的全局稳定性被分析。研究了\（E_ {+} \）的全局吸引性和在线赌博现象的持续性。最后，通过一些仿真验证了理论结果。