双层关联无标度网络信息传播动力学研究

Research on Dynamics of Information Spreading on Two-Layers Coupled Scale-Free Associated Networks for Space Information Network

当前空间信息网络不断发展,各类空间实体数量不断增加,不同空间实体之间组网可以形成不同系统,提供不同能力。而完成一项任务往往需要多种能力的配合,这要求多系统间能够互联互通。考虑空间信息网络实体异质性,将每个系统视为一个无标度网络,通过研究两个无标度网络间信息传播动力学,揭示影响双层无标度网络信息传播的相关因素。以未知状态(Susceptible)-已知状态(Infected)-移除状态(Removed)信息传播模型(SIR)为研究对象,考虑信息在层间和层内协同传播,对双层无标度关联网络信息传播动力学进行数学建模。进一步推导双层网络传播阈值,分析影响信息传播相关因素,证明双层网络传播阈值小于单层网络传播阈值。仿真结果表明,双层关联无标度网络层间存在连边情况下,阈值会变小,且增加层间连边或者增大信息有效传播率均能有效提高网络稳态信息传播规模。

Nowadays,the spatial information network is constantly developing and the number of various spatial entities is constantly increasing,where the networking between different spatial entities can form different systems and provide different capabilities for military operations.As we know,performing a task often requires the coordination of multiple capabilities,which mainly depends on the interconnection between multiple systems.In this paper,we consider the characteristic of heterogeneity of the spatial information network and treat each system as a scale-free network.By studying the dynamics of information spreading between two scale-free networks,we try to reveal the relevant factors influencing information propagation between two scale-free networks.In this paper,we mathematically model the information propagation dynamics of double-scale-free association networks using the unknown state(Susceptible)-known state(Infected)-removal state(Removed)information propagation model(SIR),where the information is propagated between and within layers.On the basis of the mathematical model,we further derive the information propagation threshold of the two-layer network and demonstrate the threshold is not larger than that of the monolayer network.Finally,the simulations demonstrate that in the case there are interlayer links in the two-layer network,the threshold becomes smaller.In addition,increasing the connecting edges or increasing the effective information propagation rate can effectively improve the scale of information propagation in the two-layer network when the network reaches the steady state.