基于遗忘机制的ISWI积极思想传播模型

针对现阶段对积极思想传播的研究较少运用动力学模型进行分析的问题,提出了一种基于遗忘机制的积极思想传播ISWI模型。利用Hurwitz判据、Lyapunov稳定性定理和LaSalle不变性原理,分析并证明了思想传播平衡点的局部稳定性和全局稳定性,并得出了传播阈值与思想传播的影响因子遗忘率和接触率之间的关系。仿真结果表明:遗忘率降低时,思想传播的范围会扩大;接触率提高时,传播范围也会扩大。遗忘率与传播范围呈负相关,接触率与之呈正相关。

The ISWI positive ideology propagation model with forgetting mechanism

In view of the fact that the study of the positive ideology propagation rarely takes into account of the dynamic model, we built the positive ideology propagation model based on forgetting mechanism. By using the Hurwitz criterion, Lyapunov stability theorem and LaSalle invariance principle, the local stability and global stability of the equilibrium points of ideology propagation were analyzed. The relationship between the propagation threshold and forgetting/cotact rate of influence factors of ideology propagation was obtained. The simulation results show that the range of ideology propagation will be expanded when the rate of forgetting reduces or the contact rate increases. That is to say, the spread range is negatively correlated with the forgetting rate and positively correlated with the contact rate, respectively.