Research On Opinion And Disease Spread Of Complex Networks

In recent years, along with the more and more deeper acquaintance of complex systems, and the research of relatively independent individual properties, and structure on different layers of them as well as difficulties meeting when analyzing them, people more and more found the closed relations existing in their subsystems as well as all sorts of immanent closed relationships in which and the importance risen by which to the constituting of the whole system. So, assisted by the high computing capability of the computer, through observing some complex huge systems and their subsystems such as ecological system, internet system, social system, vital system and so on, people begin to attach importance to interaction and unity of them.Complex network can be tangible objects in the Euclidean space, such as electric power grids, the Internet, highways or subway systems, and the neural network. In recent years, the analysis and modeling of networks, and also networked dynamical systems, have been the subject of considerable inter-disciplinant interest, yielding several significant works in physics, mathematics, computer science, biology, economics, and sociology. It is now known that the dynamics of complex network is very crucial to the research of it.The thesis is organized as follows: In chapter 1, we give a brief review to the study of complex networks, including its background, main contents and significance. Chapter 2 is about the basic concept of the graph and parameters or the complex networks. We then briefly review the main models that have been proposed over the years, focusing on random graphs, small-world models, scale-free networks. In chapter 3,we analyze the opinion formation in Sznajd model with more complex social impact. In Chapter 4 we review two classical models of spreading of epidemics, and then we consider the epidemic dynamics with feedback mechanism. Finally chapter 5 presents outlook of future works in this field.