WANG Jing-nan, LU Lan-fen, GAO Xu, et al. Stability and Immune Control Strategy of SIR Scale-free Network Model[J]. 2018, 23(2): 144-148.DOI: 10.15938/j.jhust.2018.02.026.
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 scalefree 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.