The Analysis of Model of Voluntary Vaccination Based on the Lucky Psychology

Considering the differences of individual vaccination tendency, a model of voluntary vaccination based on the tendency of nodes importance is proposed with the help of game theory. Meanwhile, a voluntaryv accination model based on trusting to luck is presented in this paper by considering the psychological factor. Permanent vaccination, temporary vaccination and time delay of information are also considered. The process of epidemics spreading of the two proposed models on the BA scale-free network and ER random network is analyzed and compared by using the classic SIS epidemic model. The results suggest that if there is lucky psychology, the density of infection nodes will be larger in BA networks. In addition, the results show that the infections number under the parameters set in this paper increases more than 2 times when people have the lucky psychology.