论文标题
网络属性和流行参数如何影响无尺度随机网络上的随机SIR动力学
How network properties and epidemic parameters influence stochastic SIR dynamics on scale-free random networks
论文作者
论文摘要
在以下前提：社交互动是由幂律分布描述的，我们研究了通过配置模型生成的无静态比例随机网络的爵士随机动态。我们在确定性的考虑方面验证了我们的模型，并就疾病灭绝的可能性提供了理论上的结果。基于此校准，我们探讨了通过随机模拟传播的疾病差异。特别是，我们证明了重要的流行指数如何随疾病的传染性和网络的连通性而变化。我们的结果量化了起始节点在确定这些指数中的作用，该指标通常用于描述流行病的传播。
With the premise that social interactions are described by power-law distributions, we study a SIR stochastic dynamic on a static scale-free random network generated via configuration model. We verify our model with respect to deterministic considerations and provide a theoretical result on the probability of the extinction of the disease. Based on this calibration, we explore the variability in disease spread by stochastic simulations. In particular, we demonstrate how important epidemic indices change as a function of the contagiousness of the disease and the connectivity of the network. Our results quantify the role of starting node degree in determining these indices, commonly used to describe epidemic spread.
