中文摘要：

网络上的信息或者疾病传播问题是复杂网络研究的焦点之一,其不仅依赖于信息或者疾病自身的传播特征,而且依赖于网络的结构与演化,是疾病传播动力学与网络演化动力学的耦合过程,会产生十分复杂的动力学现象。文章主要介绍复杂网络上传播动力学的一些基本概念、建模与研究方法,主要包括基于对关系、度、节点和渗流理论等四类网络传播动力学模型以及复杂网络传播动力学建模与分析方面的主要进展。

英文摘要：

Information or epidemic spread on networks is one of the hot issues in complex network research fields. It is a coupled dynamic process of diseases propagation and network evolution which depends on not only the transmission characteristics of information or epidemics themselves but also network structure and evolution, resulting in very complicated dynamic phenomena. The paper mainly focuses on some basic con- cepts, modelling and studying methods in respect to spreading dynamics on complex networks, containing 4 kinds of dynamic models pair-based, degree-based, node-based and percolation theory-based mod- els and some advances in dynamic modelling and analyzing respects on complex networks.