Modeling and Simulation of Rumor Propagation Based on Multiple Contact Mechanism and Incentive Effect.

With the development of intelligent recommendation technology on the Internet, new challenges have been brought to the research of rumor spreading. To study the influence of multiple contact mechanism and incentive effect on rumor spreading, we propose a rumor propagation dynamics model with multiple contact mechanism, which is based on the traditional SIR rumor propagation model and has divided the susceptible people into n S_1S_2...S_n categories. Firstly, in the system, without considering the population movement, we calculate the threshold and the final rumors spread scale of the system. Secondly, we consider population immigration and emigration in the new system. The existence of the equilibrium of the system is analyzed, and the basic reproduction number is obtained based on the next generation matrix method. The local asymptotic stability of the rumor free equilibrium is proved by the Hurwitz criterion, and the global asymptotic stability is proved according to LaSalle’s Invariance Principle. Finally, numerical simulation verifies the theoretical results, and the research shows that the multiple contact mechanism and incentive effect proposed in this paper are more similar to the rumor propagation law of social networks in the new era.