作者：王晶囡 逯兰芬 高旭 许云中 丁悦航
来源：《哈尔滨理工大学学报》2018年第02期
摘 要：为了研究疫苗免疫和外个体迁入对SIR型传染病传播行为的影响，在复杂网络上建立了一类含有免疫作用的SIR传染病模型，讨论了具有齐次性质的SIR复杂网络平衡点稳定性和具有非齐次性质的无标度网络（度分布关联和度分布不关联）染病平衡点的存在性，从中得到了3种情况的染病临界值，根据临界值讨论了比例免疫和目标免疫策略优缺点，为控制病毒传染提供了的理论参考。 关键词：无标度网络；稳定性；传染病模型；临界值；免疫
DOI：10.15938/j.jhust.2018.02.026
中图分类号： O175；O193
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氨溶于水的喷泉实验 文献标志码： A
文章编号： 1007-2683（2018）02-0144-05
电梯门机控制器
Abstract：In order to study the effect of the vaccine immunization and the individual immigration on the spread behaviors of the SIR epidemic， the SIR epidemic model for complex networks is constructed. The equilibrium stability of complex networks with homogeneous characteristics and the existence of epidemic equilibriums of scale-free network with non-homogeneous （when the node degrees’ distribution are related and when the node degrees’ distribution）are discussed. The epidemic critical threshold values under three different conditions are obtained. Based on the epidemic critical thresholds values， the advantages and disadvantages of uniform ratio immunization and targeted ratio immunization are compared，which presents the theoretical reference for controlling viral infection.
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