Analysis of SEIQ immunization model strategy in small-world

In this paper, we analyze an immunization strategy in SEIQ (susceptible, eclipse, infected, quarantine) model in small-world networks by associating the immunization probability with the infection probability. First, based on the mean-field theory, we establish the transmission dynamics equation for SEIQ model and find the relevant critical threshold of immunization which is related to the topology of the network, the infection rate of the eclipse and infection, the density of quarantine and so on. Then we explain the influence of the immunization probability to the transmission of infectious disease. Finally, by simulating the propagation of this model on disease and comparing the results with theory results, we find that this kind of immunization strategy is effective in SEIQ model in small-world complex networks.