A more realistic alcoholism model on scale-free networks with demographic and nonlinear infectivity is introduced in this paper. The basic reproduction number $R_0$ is derived from the next-generation method. Global stability of the alcohol-free equilibrium is obtained. The persistence of our model is also derived. Furthermore, the SAITS model with nonlinear infectivity is also investigated. Stability of all the equilibria and persistence are also obtained. Some numerical simulations are also presented to verify and extend our theoretical results.

中文翻译：

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基于人口和非线性传染性的无标度网络上的SAITS酒精中毒模型分析。

本文介绍了一种更现实的基于人口和非线性传染性的无标度网络酒精中毒模型。基本复制数${\mathrm{[R}}_0$源自下一代方法。获得了无醇平衡的整体稳定性。我们的模型的持久性也得到了推导。此外，还研究了具有非线性传染性的SAITS模型。还获得了所有平衡的稳定性和持久性。还提供了一些数值模拟，以验证和扩展我们的理论结果。