中北大学学报(自然科学版)2018,Vol.39Issue(3):247-254,8.DOI:10.3969/j.issn.1673-3193.2018.03.001
复杂网络上基于意识传播的传染病模型研究
Research on Epidemic Model Based on Consciousness Propagation on Complex Networks
摘要
Abstract
The spread of infectious diseases under the influence of network information was studied.The physical network layer was used to represent the contact relationship of the entity crowd,and the virtual network layer was used to portray the process of consciousness propagation.Under the condition of a double-layered complex network,microscopic Markov chains were used to draw the phase diagram of the relationship between the consciousness layer group and epidemic spread.The existence conditions of dis-ease stability and its dynamic relationship with the parameters of consciousness propagation were dis-cussed.The relationship demonstrates that the inhibition of consciousness propagation by complex net-works has a slow and rapid trend in the suppression of infectious diseases,and finally tends to be stable. The spread of infectious diseases will also adversely affect the speed of dissemination of information,and it finds that the awareness of prevention will gradually weaken over time and rebound in a certain period of time.关键词
多层复杂网络/意识网络/传染病动力学/马尔科夫链Key words
multi-layer complex network/ideology network/infectious disease dynamics/Markov chain分类
数理科学引用本文复制引用
王茜,薛亚奎..复杂网络上基于意识传播的传染病模型研究[J].中北大学学报(自然科学版),2018,39(3):247-254,8.基金项目
国家自然科学基金资助项目(11201434,61379125) (11201434,61379125)
山西省自然科学基金资助项目(2015011009) (2015011009)