标题： 角色划分驱动资源分配对流行病传播的影响 显示英文标题

标题： Role division drives impact of resource allocation on epidemic spreading

摘要： 基于资源分配的现实世界分层结构，本文提出了一种耦合的动态模型，将资源分配与疫情传播结合起来，并将网络节点按角色划分为资源分配者和接收者。 随着每个接收者从分配者那里获得的平均链接数增加，在不同条件下流行病的传播表现出四种不同的响应模式：单调增加、单调减少、U型趋势或突然减少并伴有大幅波动。 对潜在物理机制的分析揭示了三个关键特征：(i) 分配者在高效资源分配与感染风险之间的权衡，(ii) 在高治疗资源效率下避免资源冗余的关键重要性，以及(iii) 级联引起的双稳态。 显示英文摘要

摘要： Based on the real-world hierarchical structure of resource allocation, this paper presents a coupled dynamic model of resource allocation and epidemic spreading that incorporates a role-based division of network nodes into resource allocators and recipients. As the average number of links per recipient from allocators increases, the prevalence exhibits one of four distinct response patterns across conditions: monotonically increasing, monotonically decreasing, U-shaped trend, or a sudden decrease with large fluctuations. Analysis of the underlying physical mechanisms reveals three key features: (i) a trade-off between efficient resource allocation and infection risk for allocators, (ii) the critical importance of avoiding resource redundancy under high therapeutic resource efficiency, and (iii) cascade-induced bistability.