Research On Epidemic Dynamics In Temporal Heterogeneous Networks

With the rapid development of science and technology,and the rise of complex network research,people find that many networks have structural heterogeneity.On the other hand,the connections between nodes in temporal networks are intermittent,repetitive,and is typical heterogeneous.The phenomena of spreading of diseases and information on networks with structural heterogeneity or temporal heterogeneity is rich,but the studies about the spreading processes on networks are few at present.Based on the proposed adaptive temporal network,this thesis investigates the spreading phenomena on the network and analyzes the influence of the heterogeneity of structure and temporal on the spreading.Finally,immune strategies of the model are analyzed and compared.Through the above studies,it is possible to have a clearer understanding of the spreading mechanisms and immunization strategies for networks with structural and temporal heterogeneity.The work of this thesis mainly includes three aspects:1)Conducting a large number of spreading experiments on adaptive temporal network.The SIS model spreading is performed on adaptive temporal networks.The parameters such as the spreading threshold and the ratio of steady-state infected nodes are observed and analyzed.At the same time,we propose two reference zero models to study the influence of structural heterogeneity and temporal heterogeneity on the spreading of the adaptive temporal networks under the specific edge-to-edge probabilities k.The zero models separate the structural heterogeneity and the temporal heterogeneity,performed the same SIS model spreading as the original model.It shows that the structural heterogeneity of the network has an effect on the spreading of the adaptive temporal network,and the temporal heterogeneity has an inhibitory effect on the spreading though results analysis and comparison on the experiments.2)Analyzing the theory of the two zero models.We use the theory of heterogeneous mean field to analyze the two proposed zero models and solve the burst threshold.At the same time,we verify the previous experimental simulation results.It is found that the outbreak threshold of the zero model one is related to the node resource distribution and parameters k,and the zero model two is only related to the node resource distribution.3)Conducting immune research on the adaptive temporal network.Based on the proposed adaptive temporal network,random immunity,target immunity and local immunization strategies are used for immunization studies to observe and compare the immune effects.We find that on the adaptive temporal network,the immune effects achieved by the networks evolved under different parameters k are different.The target immune effect is significantly better than the random immunity and local immunity,and the local immunity is better than the random immunity when k=0.001.There are no significant differences in the immune effects of the three immunization strategies and they are basically similar when k=0.1.