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.
关键词
多层网络/稳定性/基本再生数/Lyapunov泛函/最优控制
Key words
multilayer network/stability/basic regeneration number/Lyapunov function/optimal control
维普
万方数据