Matrix expression and vaccination control for epidemic dynamics over dynamic networks
Peilian GUO
Yuzhen WANG
摘要：This paper investigates epidemic dynamics over dynamic networks via the approach of semi-tensor product of matrices. First, a formal susceptible-infected-susceptible epidemic dynamic model over dynamic networks (SISED-DN) is given. Second, based on a class of determinate co-evolutionary rule, the matrix expressions are established for the dynamics of individual states and network topologies, respectively. Then, all possible final spreading equilibria are obtained for any given initial epidemic state and network topology by the matrix expression. Third, a sufficient and necessary condition of the existence of state feedback vaccination control is presented to make every individual susceptible. The study of illustrative examples shows the effectiveness of our new results.
机标关键词：necessary conditionmatrix expressionepidemic dynamicsnetwork topologystate feedbackdynamic model
资助基金：the National Natural Science Foundation of China()the National Natural Science Foundation of China(61374065)the National Natural Science Foundation of China(61503225)the Research Fund for the Taishan Scholar Project of Shandong Province, and the Natural Science Foundation of Shandong Province(ZR2015FQ003)
论文发表日期：2016-01-01
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( 39-48 )
英文信息