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

In order to better describe the mechanism of rumor propagation, suppress rumor propagation. This paper examines the influence of true information disseminators on individuals and rumor spreaders who are affected by the public opinion environment. It is found by comparing those who have true information and those who do not have true information in the population. When there are true information disseminators in the crowd, it can effectively control the turn of individuals affected by the public opinion environment to the spread of rumors, and increase the turn of individuals affected by the public opinion environment to the true information disseminators. In addition, this paper analyzes the problems related to the optimal control of the rumor propagation model, and proposes some policies to increase the number of true information disseminators and reduce the number of rumor propagators, so as to better control the spread of rumors. Finally, numerical simulations verify the inhibitory effect of true information disseminators on the spread of rumors. It can be seen from the figure that the earlier the true information disseminator appears, the greater the number of true information disseminators, and the more obvious the inhibitory effect on the spread of rumors.