Analysis of voluntary vaccination model based on the node degree information

Abstract

The widespread of epidemics bring tremendous losses to the mankind, thus it is very important to prevent the spread of epidemics. In this paper, the differences between individual tendency of vaccination is taken into account to propose a voluntary vaccination model based on the node degree information. Further, the theoretical analysis result shows that if propagation rate exceed a threshold value, the effectiveness of epidemic spreading (the number of infectious nodes) of the model above and the classical model ignoring the difference between the individual vaccination willingness [Zhang et al 2010 New J. Phys. 12 023015] will be the same. Both the permanent vaccination and the temporary vaccination are considered to analyze the process of epidemic spreading for the Barabási-Albert network by using the SIS model. The numerical simulation results are consistent with the empirical ones very well. Experiments prove that when the infection cost and vaccine cost is the same, the model can prevent the spread of the epidemic more effective as compared with the classical one, and the proportion of the infections decreases over 65% than the classical one. In addition, the longer the live of vaccine, the more effective the prevention of the spread of the epidemic using this model (compared with the classical model ignoring the difference between the individual vaccination willingness).