AI 中文总结
研究离散时间SIS流行病模型及复杂网络的流行病阈值，提出社区层面阈值集并建立局部与全局阈值比较结果，通过在合成与真实网络上的数值实验验证，结果与理论吻合。
AI 中文摘要
本文研究离散时间SIS流行病模型及复杂网络上的流行病阈值。重点提出社区层面的流行病阈值集，并建立局部与全局流行病阈值的比较结果。为验证理论结果和结构特性，在一个合成网络（Network1）和一个真实世界网络（Haslemere接触网络）上进行数值实验，数值模拟及阈值集的计算与统计排序与理论结果精确吻合。
英文摘要
In this paper, we investigate a discrete-time SIS epidemic model and the epidemic thresholds on complex networks. We focus on proposing a community-level epidemic threshold set and establishing a comparative result between the local epidemic thresholds and the global epidemic threshold. To verify our theoretical findings and structural properties, we conduct numerical experiments on one synthetic network (Network1) and one real-world network (the Haslemere contact network). Our numerical simulations, along with the computation and statistical ranking of the epidemic threshold sets, align accurately with our theoretical results.
