Rendezvous effects in the diffusion process on bipartite metapopulation networks
Rendezvous effects in the diffusion process on bipartite metapopulation networks
复制标题
DOI：
10.1103/physreve.84.041936
复制
发表时间：
2011-10-31
影响因子：
2.4
通讯作者：
Aihara, Kazuyuki
中科院分区：
文献类型：
--
作者：
Cao, Lang;Li, Xun;Aihara, Kazuyuki
疫情暴发已被证明与集合点引起的感染传播密切相关，这种传播是由在公共集会中与受感染个人的随意接触引起的。为了研究集合种群网络在传染病传播中的交会效应，我们提出了集合种群网络的传染病模型，将集合种群网络分为位置节点和集合节点两部分。在给定的转换率下。Gamma(P)(Kk)‘，每个个体从位置k转移到集合点p(发生集合点引起的疾病发病率)，然后移动到位置k’。我们发现，转移率相关矩阵的特征结构决定了流行病阈值条件。分析和数值结果都表明，集合点诱导的传播加速了传染病的进展，这意味着疫情控制措施的重要性，包括防止公共集会或将大型集合点分散到较小规模的集合点。
Epidemic outbreaks have been shown to be closely related to the rendezvous-induced transmission of infection, which is caused by casual contact with infected individuals in public gatherings. To investigate rendezvous effects in the spread of infectious diseases, we propose an epidemic model on metapopulation networks bipartite-divided into two sets of location and rendezvous nodes. At a given transition rate. gamma(p)(kk)', each individual transfers from location k to rendezvous p (where rendezvous-induced disease incidence occurs) and thereafter moves to location k'. We find that the eigenstructure of a transition-rate-dependent matrix determines the epidemic threshold condition. Both analytical and numerical results show that rendezvous-induced transmission accelerates the progress of infectious diseases, implying the significance of outbreak control measures including prevention of public gatherings or decentralization of a large-scale rendezvous into downsized ones.