两层星型网络上的传染病建模和控制

为了研究传染病在星型耦合网络上的传播规律,在两层星型网络上建立了一个新的有效度传染病模型,其网络结构对应由两个中心城市与周边县城构成的交通系统(忽略县城相互连接)。利用下一代生成矩阵计算模型的传播阈值,并数值分析影响阈值的主要因素。接着讨论切断传播途径和免疫易感人群等控制策略所对应的阈值变化。研究发现切断边界与中心的传播途径以及免疫中心节点对降低发病率最有效。结果可为传染病动力学的建模分析和疾病控制提供理论参考。

Model and Control of Epidemics on a Star-Coupled Interconnected Network

To study the transmission patterns of epidemics in star-couple interconnected networks,we establish an effective degree epidemic model in a two-layer star-coupled network.The network structure corresponds to a transportation system that connects two central cities and the surrounding towns (ignoring the connections between towns).We first calculate the spreading threshold by using the next generation matrix and numerically explore the main influence factors.We then analyze the thresholds in case of different control strategies including cutting node connections and vaccinating susceptible nodes.The results indicate that cutting the connections between center and boundary and vaccinating the center are most effective for disease control.The findings can provide good reference for the modeling and analysis of epidemic dynamics.