关键词: 加权网络, 熟人免疫, BBV网络, SI模型, 病毒传播

Abstract: In the weighted network, the weight of an edge characters the tightness between two nodes, and the degree of a node denotes the number of neighbors of the node. In order to effectively suppress the spread of virus in the weighted networks, an improved Acquaintance Immunization strategy by Considering the Weights and Degrees（AI-CWD） is proposed. In this proposed strategy, the node with highest product between degree and weight will be immunized. And then, simulations are conducted on artificial networks and real networks respectively. Besides, the effect of the proportion of the weight in the product is further studied. The simulation results show that under the circumstance that the densities of immune nodes are the same, the density of infected nodes in the network immunized by the AI-CWD strategy is lower than that of the network immunized by max-weight strategy, the improved acquaintance immunization strategy and the strategy based on ClusterRank algorithm. Namely, the immunization effect of proposed strategy in this paper is better than the other three immunization strategies. A parameter that characters the proportion of weights in the product between degree and weight is also introduced in this paper. Simulation results show that by controlling the parameter in the product, there exits an optimal proportion of weights that can make the density of infected nodes lowest.

Key words: weighted network, acquaintance immunization strategy, BBV network, SI model, virus spread