基于重叠网络的传染病动力学模型及分析  

Analysis of Epidemic Model Based on Overlay Networks

作　　者：刘桂荣[1] 韩立钦 LIU Guirong;HAN Liqin(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学数学科学学院

出　　处：《山西大学学报（自然科学版）》2019年第4期799-803,共5页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11471197);山西省自然科学基金(201601D202002)

摘　　要：基于不同疾病在同一群体中的传播,文章在重叠网络上建立了基于节点的马尔可夫方程组,利用矩阵特征值理论获得两种疾病的传播阈值。理论结果表明一种疾病的传播不会影响另外一种疾病的传播阈值。数值模拟结果说明一种疾病的传播会影响另外一种疾病的染病规模。Based on the spread of different diseases in same population, this paper establishes Markov equations based on nodes on overlay networks and obtains the transmission thresholds of the two diseases by using matrix eigenvalue theory. The results show that the spread of one disease does not affect the transmission threshold of another disease.The numerical simulations show that the spread of one disease affects the scale of infection of another disease.

关 键 词：重叠网络 传播阈值 传染病动力学 马尔可夫方程组 

分 类 号：O175[理学—数学]