%0 Journal Article
%T 重叠网络上信息与疾病传播模型及其分析<br>Analysis of an epidemic model with information on overlay network
%A 梁蕾
%A 刘桂荣&lt
%A br&gt
%A LIANG Lei
%A LIU Gui-rong
%J 山东大学学报（理学版）
%D 2016
%X 摘要： 建立了重叠网络上的SAIS模型, 应用泰勒公式以及矩阵理论, 得到疾病传染强度的第二阈值的表达式。 进一步通过数值模拟和随机模拟比较可知, 信息的传播抑制了疾病的传播, 且染病者恢复后形成的警觉性会增大疾病传染强度的第二阈值, 并有效降低疾病的传播规模。<br>Abstract: An SAIS model on overlay network is established. Using the Taylors formula and Matrix theory, the expression of the second threshold of infection strength is obtained. Furthermore, by comparing the numerical simulations and stochastic simulations it can be found that the dissemination of information inhibits the epidemic spreading, and the alertness of recovery increases the second epidemic threshold of infection strength, also effectively reduces the infection size
%K 重叠网络
%K 信息传播
%K 传染强度
%K SAIS模型
%K 阈值
%K &lt
%K br&gt
%K overlay network
%K infection strength
%K information dissemination
%K threshold
%K SAIS model
%U http://lxbwk.njournal.sdu.edu.cn/CN/Y2016/V51/I11/107