Stability and Optimal Control Analysis of Information Propagation Models in Multilayer Networks
Based on the characteristics of information dissemination and the influence of modern media dissemination,a multilayer networkbased SIR(receiver of informationtransmitter of informationfor-getter of information)information dissemination model was proposed and the dynamic and optimal control analysis was conducted.Firstly,the boundness and non-negativity of the solution were proved.Then,the basic reproduction number R was calculated,using the nextgeneration matrix method,the existence and stability of the informationfree dissemination equilibrium point and the local information dissemination equilibrium point were analyzed by R0.In addition,in order to maximize the density of information spreaders and minimize the control cost,the optimal control strategy was designed and the optimal control was solved according to Pontriagin's extreme value principle.Final-ly,MATLAB software was used for numerical simulation and the results showed that the optimal control strategy could effectively improve the density of information spreaders.
multilayer networkstabilitybasic regeneration numberLyapunov functionoptimal control
万方数据
维普
