Algebraic form and analysis of SIR epidemic dynamics over probabilistic dynamic networks
Hongxing Yuan1
Zengqiang Chen1
Zhipeng Zhang2
Rui Zhu1
Zhongxin Liu1
1.College of Artificial Intelligence,Nankai University,Tianjin 300350,China2.School of Artificial Intelligence,Tiangong University,Tianjin 300387,China
摘要：The outbreak of corona virus disease 2019 has profoundly affected people's way of life.It is increasingly necessary to investigate epidemics over social networks.This paper studies susceptible-infected-removed(SIR)epidemics via the semi-tensor product.First,a formal susceptible-infected-removed epidemic dynamic model over probabilistic dynamic networks(SIRED-PDN)is given.Based on an evolutionary rule,the algebraic form for the dynamics of individual states and network topologies is given,respectively.Second,the SIRED-PDN can be described by a probabilistic mix-valued logical network.After providing an algorithm,all possible final spreading equilibria can be obtained for any given initial epidemic state and network topology by seeking attractors of the network.And the shortest time for all possible initial epidemic state and network topology profiles to evolve to the final spreading equilibria can be obtained by seeking the transient time of the network.Finally,an illustrative example is given to show the effectiveness of our model.
机标关键词：epidemicdynamicsanalysisformoveralgebraicnetworksprobabilistic
论文发表日期：2023-11-05
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：10( 602-611 )
英文信息