Dynamic analysis and control measures of rumor propagation model considering true individuals and public opinion individuals (Q6562295)

The paper presents dynamic analysis and control measures of rumor propagation model considering true individuals and public opinion individuals. It analyzes the trend of true information disseminators to individuals affected by public opinion environment. The paper establishes a rumor propagation model of individuals affected by public opinion environment and true information disseminators. Four conditions for the stability of equilibrium point are obtained. The paper studies the strategy of increasing the number of true information disseminators and reducing the rumor propagation based on an analysis of the problems related to the optimal control of the rumor propagation model. The stability analysis and optimal control of the equilibrium point are performed. Some numerical examples are provided to illustrate the theoretical prediction.