Dynamic analysis and optimal control of competitive information dissemination model

Information dissemination is vital to human production and life. Identifying and analyzing the modes and mechanisms of information dissemination under different conditions is conducive to playing the role of positive information and reducing the impact of negative information. Considering that multiple pieces of information coexist and conflict with each other, in this paper, a competitive information dissemination model is established and the proposed system is analyzed. The next generation matrix method is used to determine the basic reproduction number R0. The equilibrium conditions of the system are presented, and the Routh–Hurwitz stability criterion and the second method of Liapunov are used for performing stability analysis. Based on Pontryagin's extreme value principle, the influence rate and the isolation rate of the boot mechanism are chosen as control parameters. In addition, the optimal control parameter expression of the system and optimal control system are presented. The numerical simulation shows various states and changes in information dissemination. The results presented in this work show that the competitive information suppresses other competitive information during the process of dissemination. The results presented in this paper can serve as a reference for relevant departments to manage information dissemination.