摘要
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 re- lated 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.
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 re- lated 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.
基金
Supported by the National Natural Science Foundation of China (60970018)
