In recent years,many rumors have brought huge economic losses to the country and society.In order to reduce the harm influence of rumors on the public and society,and give effective strategies and suggestions to cope with the rumors propagation,based on the study on the influence of herd immunity differences on the rumor propagation process,a rumor propagation model considering the herd immunity in social network was established.The corresponding mean-field equations in homogeneous network were given and their stability was analyzed.According to the mean-field equations by using the method of Runge-Kutta,the rumor propagation process was numerically simulated.The simulation results show that the immune enhancement rate plays an important role in rumors spreading.The greater the immune enhancement rate,the smaller the influence of rumor,that is,raising the proportion of people with strong immunity,the maximum influence of rumor propagation in the network could be reduced.