发表机构
Purdue University; South Dakota School of Mines and Technology（普渡大学; 南达科他矿业和技术学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种结合观点动态与高阶交互的网络化SIS流行病模型，分析其平衡点稳定性、感染根除条件及双稳态诱导机制，通过数值模拟验证相关动态 regimes，揭示高阶交互对观点依赖型流行病系统动态的影响。
AI 中文摘要
本文研究了在具有高阶交互的社区网络上，结合观点动态的易感-感染-易感（SIS）流行病模型。与仅考虑成对传播的标准网络化SIS模型不同，该模型纳入了群体层面的感染机制，以及流行病流行程度与社区观点之间的反馈。我们确定了特定无病平衡点的局部稳定与不稳定条件，推导了感染状态全局指数根除的充分条件，并明确了高阶交互在正不变同步集上的简化动态中诱导双稳态的条件。这些结果刻画了高阶交互如何改变依赖观点的流行病系统的动态，数值模拟验证了预测的根除、双稳态和地方病状态。
英文摘要
This paper studies a susceptible--infected--susceptible (SIS) epidemic model coupled with opinion dynamics over a network of communities with higher-order interactions. Unlike standard networked SIS models, which account only for pairwise transmission, the proposed model incorporates group-level infection mechanisms and feedback between epidemic prevalence and community opinions. We establish local stability and instability conditions for a particular healthy equilibrium, derive a sufficient condition for global exponential eradication of the infection state, and identify conditions under which higher-order interactions induce bistability in the reduced dynamics on a positively invariant synchronous set. These results characterize how higher-order interactions alter the dynamics of opinion-dependent epidemic systems. Numerical simulations illustrate the predicted eradication, bistable, and endemic regimes.
CommentsAccepted to the 65th IEEE Conference on Decision and Control (CDC)
