The Epidemic Models On The Complex Networks

In recent years, the discoveries of complex networks have attracted a lot of interest.The researchers come from the fields of graph theory, statistical physics, computer networks, ecology, sociology and economics. The networks can Describe many Complex Systems in the nature world. With the developing of Computer Technology, Scientists Recognize that many networks in the real world are neither regular networks nor random networks, but the networks which have the statistical characterizations that not belong to the first two. This kind of network is called complex network by scientists.The spread of the virus in computer networks, the prevalence of infectious diseases in the crowd, Can be viewed as a behavior of communication on the networks which is subjected to a certain law. This paper studied in the epidemic models on the complex networks. First, we review the most important complex networks models and some classic epidemic models. And we pay more attentions on Moreno's models. We introduce a method to improve the reliability and efficiency. It is proved by experimental simulation.In this paper, we have found an equation to describe the relationship between the parameter α and K. It can Release more Potential of hubs in the networks.Finally, it summarizes the main work done in the paper and gives some questions to solve in the future.