Research And Simulate Virus Propagation Model On The Weighted Network

The rise of complex networks has opened up a new research path to the people. Complex network can reflect some important topology and statistical characteristics of the real network and have provided a research platform. But network in real life not only are weighted network, but also carries a limited weighted network. So we should study more realistic network model and study the law and control strategy the virus spread, it will be important guiding significance on the real life.The main research work is as follows:1. On the edge weights limited BBV model verify its networking features and give the degree distribution, point weights distribution, edge weight distribution obeying a power law distribution. Establishing SIS and SIR virus propagation model, study the virus propagation of the edge weights limited BBV model through the simulation found two models consistent with the laws of the virus propagation.2. At the same time study the immunization strategy on the edge weights limited BBV model, get the conclusion that the immunization strategy of based node betweenness is best by simulation. Comparative results of virus propagation and immunization strategy on the classical BBV model and the edge weights limited BBV model, find behind the model is better than the previous model on propagation performance and delay.3. Introducing the algorithmic mechanism design, on the edge weights limited BBV model use it to find the shortest path and shortest path immunization strategy. Obtained the effect of the shortest path immunization strategy, provides a new method for the study of complex networks immunization strategy.