In this paper, we study the dynamical behaviour of an epidemic on complex networks with population mobility. In our model, the number of people on each node is unrestricted as the nodes of the network are considered a...In this paper, we study the dynamical behaviour of an epidemic on complex networks with population mobility. In our model, the number of people on each node is unrestricted as the nodes of the network are considered as cities, communities, and so on. Because people can travel between different cities, we study the effect of a population＇s mobility on the epidemic spreading. In view of the population＇s mobility, we suppose that the susceptible individual can be infected by an infected individual in the same city or other connected cities. Simulations are presented to verify our analysis.展开更多
We provide a theoretical analysis of node importance from the perspective of dynamical processes on networks.In particular,using Markov chain analysis of the susceptible-infected-susceptible (SIS) epidemic model on ne...We provide a theoretical analysis of node importance from the perspective of dynamical processes on networks.In particular,using Markov chain analysis of the susceptible-infected-susceptible (SIS) epidemic model on networks,we derive the node importance in terms of dynamical behaviors on network in a theoretical way.It is found that this quantity happens to be the eigenvector centrality under some conditions,which bridges the topological centrality measure of the nodes with the dynamical influence of the nodes for the dynamical process.We furthermore discuss the condition under which the eigenvector centrality is valid for dynamical phenomena on networks.展开更多
基金supported by National Natural Science Foundation of China (Grant Nos 60744003,10635040,10532060 and 10672146)the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No 20060358065)+2 种基金National Science Fund for Fostering Talents in Basic Science (Grant No J0630319)A grant from the Health,Welfare and Food Bureau of the Hong Kong SAR GovernmentShanghai Leading Academic Discipline Project (Project Number:J50101)
文摘In this paper, we study the dynamical behaviour of an epidemic on complex networks with population mobility. In our model, the number of people on each node is unrestricted as the nodes of the network are considered as cities, communities, and so on. Because people can travel between different cities, we study the effect of a population＇s mobility on the epidemic spreading. In view of the population＇s mobility, we suppose that the susceptible individual can be infected by an infected individual in the same city or other connected cities. Simulations are presented to verify our analysis.
基金Supported by the National Natural Science Foundation of China under Grant Nos 61104224,61004104 and 61104143the PolyU Postdoctoral Fellowships Scheme(G-YX4A)the Research Grants Council of Hong Kong(BQ19H).
文摘We provide a theoretical analysis of node importance from the perspective of dynamical processes on networks.In particular,using Markov chain analysis of the susceptible-infected-susceptible (SIS) epidemic model on networks,we derive the node importance in terms of dynamical behaviors on network in a theoretical way.It is found that this quantity happens to be the eigenvector centrality under some conditions,which bridges the topological centrality measure of the nodes with the dynamical influence of the nodes for the dynamical process.We furthermore discuss the condition under which the eigenvector centrality is valid for dynamical phenomena on networks.
