Analysis of SEIQ Immunization Model Strategy in Small-World  

作　　者：CHEN Shengshuang, ZHOU Jiahua, WEN Lijuan, HUANG Zhangcan School of Science, Wuhan University of Technology, Wuhan430070, Hubei, China 

出　　处：《Wuhan University Journal of Natural Sciences》2010年第2期109-112,共4页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (60970018)

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.

关 键 词：SEIQ model IMMUNIZATION critical threshold simu-lation 

分 类 号：O231.5[理学—运筹学与控制论] N945.1[理学—数学]