Epidemic Spread In Networks Induced By Deactivation Mechanism

The network is abstract model of realistic system. Many complex systems which exist in nature will be described by networks. From Internet, WWW, food webs, protein-protein interaction network to human communication network are recognized as complex networks. Some studies found that the complex networks own some common characteristic of topology .for example: the small word and the scale-free. So the network which produced by scientist are similar to practical network in nature is very important. Recently, the theory of unify area"small world"and"scale free"is so interesting. The dynamics on complex networks is another aspect which reflects topological structure of networks. The SW and SF properties have considerable impact on the processes running on top of complex networks. Especially, epidemic spreading on complex networks is very significant work, the understanding of spreading phenomena in these networks can shed light on a large number of practical problems ,ranging from computer virus infection to epidemiology ,meanwhile it an show some important and scientific proof for defecting diseases pervade.We summarize the basic concept and typical mechanism model of complex networks, and we especially introduce some main epidemical models and the spreading behavior of epidemical model on complex networks, and we pay more attention to the newest investigation of disease spreading in scale free networks.In this paper, we study a networks which produced by deactivation mechanism and joined long-rang connection about topology and epidemic dynamics. By means of numerical simulation, Our results show that the clustering coefficient C and the Pearson correlation coefficient r decrease by increasingμ,in the end, they reach topological state of BA model(μ= 1).In the SI model, when0≤μ1,the infection hierarchy might be absent, in the SIS model, the epidemic thresholdλc present two different variable state, the epidemic threshold reach maximum value atμ= 0.4. In SIR model, the effect which induced by long-rang connection in epidemic spreading process is not remarkable.