| Infectious diseases have always been the enemy of human survival and development.The research on the pathogenesis,infectious law and prevention and control strategy of infectious diseases has become an important issue urgently needed to be solved by all countries in the world.Vaccination is an important tool to prevent and control the spread of diseases.For some emerging infectious diseases,the side effects of the vaccine itself,the effectiveness of the vaccine,the cost of individual vaccination and other reasons often make it difficult to achieve the effect of herd immunity vaccination.Therefore,in the study of infectious disease dynamics,it is of great significance to consider the influence of individual vaccination game behavior on disease transmission dynamics.In this thesis,evolutionary game theory is used to model and analyze the vaccination strategy of dynamic system of two types of infectious diseases.The main contents are as follows: Firstly,based on the prevalence of some infectious diseases,possible losses and unknown risks of vaccination,individuals choose different strategies to vaccinate or not to vaccinate,resulting in a kind of imitative behavior.A kind of game dynamics model with incomplete immune evolution is established,and the existence and stability of equilibrium state in the game model of infectious diseases are analyzed.The effect of vaccine effectiveness on the level of disease transmission is studied,and the relationship between vaccine failure rate,vaccination rate and disease prevalence is discussed.Secondly,a kind of simulation dynamics model with birth vaccination game is established,and the dynamic characteristics of equilibrium state are analyzed.The interaction between the epidemic rate of infectious diseases,the number of vaccinated people,the failure rate of vaccinated vaccines and the individual vaccination behavior strategy is discussed,and the influence of individual simulation behavior strategy on the disease transmission dynamics level is studied.Finally,the relationship between vaccination imitation behavior and the level of disease transmission is analyzed by numerical simulation,and the relevant theoretical results are verified. |
