重叠网络上疾病与意识传播模型:非同步的影响  

Spreading Model of Disease and Awareness in Multiplex Networks: Effects of Asynchronous Updating

作　　者：张译丹 彭小龙 ZHANG Yi-dan;PENG Xiao-long(Complex Systems Research Center,Shanxi University,Taiyuan 030006,China;School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学复杂系统研究所,山西太原030006 [2]山西大学数学科学学院,山西太原030006

出　　处：《云南师范大学学报（自然科学版）》2019年第3期23-28,共6页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：国家自然科学基金资助项目(11601294);山西省回国留学人员科研基金资助项目(2016-011);山西省青年基金资助项目(201601D021012)

摘　　要：针对Granell等人所建立的重叠网络上疾病与信息传播模型中信息更新早于疾病传播的非同步现象,研究了疾病传播先于信息更新的另一种非同步传播模型,发现这种非同步次序在传染率较大时对各状态节点,特别是对易感者的数量影响较大,而对离散时间模型的疾病暴发阈值以及连续时间模型的稳定性结论均无影响.In this paper,a susceptible-infected-susceptible (SIS) epidemic model coupled with an unaware-aware-unaware (UAU) information diffusion model on multiplex networks was studied.In contrast with the scenario considered by Granell where the awareness information is updated prior to disease spread,the other scenario where the disease spread is prior to information transmission is focused on.It is found that the order of asynchronous update of disease and information has an important impact on the evolution of the number of nodes of various states especially the susceptible nodes (either aware or unaware) as the transmission rate is relatively large.However,the order of asynchronous updating has no effect on the epidemic threshold of the discrete-time model as well as the stability conclusion of the continuous-time model.

关 键 词：重叠网络 非同步更新 疾病阈值 离散时间模型 连续时间模型 

分 类 号：O157.5[理学—数学] O175[理学—基础数学]