线上线下交互的负面思想IDRI传播模型研究

Research on IDRI Propagation Model of Negative Ideology on Online and Offline Interaction

针对目前负面思想传播研究多采用定性分析方法,难以揭示其内在规律的问题,借鉴计算机病毒仓室建模的思想,考虑线上线下交互及遗忘机制等现实因素对思想传播行为的影响,提出了负面思想传播IDRI模型。与传统传播模型相比,上述模型只存在唯一的负面平衡点,不存在无负面平衡点。利用Hurwitz准则得出了负面平衡点的局部稳定性条件,并根据Bendixson Dulac准则和轨道平滑度建立了负面平衡点的全局稳定性条件。数值模拟验证了理论结果的正确性,并表明通过减小线下传播者的概率q和系统中无知者到传播者的转化系数α,或者增加传播者到移出者的转化率β,可以减小网络中传播者D的数量。最后给出抑制网络中传播者数量在可接受阈值内的控制策略。

For the problem that the study on negative ideology propagation is mostly qualitative analysis at current and fails to reveal the inherent law of it. Drawing on the idea of computer virus compartment modeling, the IDRI model of negative ideology propagation was propagation by consider the realistic factors of online and offline interaction and forgetting mechanism. In contrast to the traditional models, this model has only one negative equilibrium point and there is no negative equilibrium point. The local stability condition of the negative equilibrium point was derived based on the Hurwitz criterion. The global stability condition of the negative equilibrium point was established according to Bendixson Dulac criterion and orbital smoothness. Numerical simulations validate the theoretical results and show that the number of disseminator in the network can be reduced by decreasing the probability q of offline disseminator and the probability α of an ignorant transforms into a disseminator, or increasing the probability β of a disseminator transforms into a removed. Finally, the control strategies were given to suppress the number of disseminator in the network within acceptable threshold.