潜伏-隔离机制下的信息扩散拓展模型及稳定性

Information diffusion extended model and stability based on escape-quarantined mechanism

为适应信息扩散中病毒传播的复杂性和不确定性,在传统病毒传播模型和信息扩散模型基础上,引入潜伏状态和隔离状态,研究潜伏-隔离机制下的信息扩散模型及其稳定性。构建基于潜伏-隔离机制的信息扩散模型;运用劳斯稳定性判据,论证系统平衡点的局部稳定性,分析基本再生数R0及其对网络感染源和系统状态的影响;通过仿真实验,分析节点连通半径、节点分布密度和节点接触率对信息扩散的影响。仿真结果表明:通过调整节点连通半径、节点分布密度和节点接触率等参数,可实现对信息扩散的有效控制。

In order to meet the complexity and uncertainty of virus diffusion in cyberspace operation,escape status and quarantined status were introduced into the virus diffusion model based on a traditional diffusion model,and its stability was discussed. The escape and quarantined mechanism of cyberspace operation was introduced. Via Routh stability criterion,the local stability of system equilibrium point was demonstrated as well as the basic reproductive number R0. Simulations were given to illustrate the influence of node connectivity,node distribution density,and node contact ratio on information diffusion. The results show that the information diffusion can be effectively controlled by changing the parameter regulations on node connectivity,node distribution density,and node contact ratio.