The study of the dynamic model on KAD network information spreading

In recent years, the pure distributed file sharing peer-to-peer network-Kad network has been paid close attention by scholars. However, the study of the controlling problem of information spreading on the Kad network is rare. We found that the traditional infectious model MSEIR is similar with the specific information propagation of the Kad network by studying. But the MSEIR model could not completely and accurately simulate the information dissemination process of the Kad network. Therefore, the model of Kad epidemic dynamic model (KEDM) which has improved the transmission status of the existing MSEIR is proposed. Considering the characteristics of the KEDM model in different time segment, we redefine the relationship between the status transitions. We derived the basic reproduction number of KEDM using the degree function reference model. Data simulation results show that the KEDM can more accurately describe the specific information propagation of the Kad network than traditional MSEIR model. The basic reproduction number can accurately reflect the equilibrium threshold and stability of the specific information propagation in Kad network.