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复杂网络中病毒播的稳态和瞬态特征
THE STATIONARY AND TRANSIENT CHARACTERISTICS FOR THE VIRUS SPREADING ON COMPLEX NETWORKS
Speciality: Circuit and System
Author: Li Hailin Signature:_______________ Supervisor: Prof.WangLin Signature:_______________ Abstract There are many large complex systems in nature that can be described by networks, and the Internet is
just a typical complex network. The investigation into the influence of the Internet topological structure on
the stationary and transient behaviors of virus spreading has become an important part for the research on
spreading dynamics. By the investigation on the topological structures of complex networks and virus
spreading in specific topological structure and the numerical simulations of virus spreading transient
properties on random networks and scale free networks, the relation between topological structures of
complex networks and virus spreading behaviors and spreading characteristics on different networks are
found, which can supply favorable help for virus detection and resistance. This paper aims at the research on stationary and transient properties for virus spreading and makes
some investigation and exploration from the following two aspects: On the one hand, the current concerned topological structures and virus spreading models on complex
networks home and abroad are investigated and discussed. In this part the topological structures of complex
networks and research status quo for virus spreading are introduced concretely, and some current virus
prevalence models are summarized in detail and advantages and disadvantages of different models are
evaluated. Then stationary characteristics of virus prevalence on complex networks are analyzed and
summarized, based on which the network virus spreading properties on networks with
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