Dynamic analysis of SVEIR model under the influence of vaccination effect
[Objective]Generally,because epidemic will change with time,the dynamics of the equilibrium point of a time-varying SVEIR disease transmission model affected by the vaccination rate and immunization rate is studied by combining with the reality.[Methods]First,the existence of equilibrium point was studied by constructing a dynamics model;Second,the basic regeneration numbers Ro and effective regeneration numbers Re are obtained by using the next generation matrix method;Finally,the stability of the basic regeneration numbers and effective regeneration numbers were analyzed by using Lyapunov theorem and Routh-Hurwitz discrimination method.[Results]Through python numerical simulation experiment,it is obtained that when Ro＜1,the disease will disappear;When Ro＞1,the epidemic will transform into a local epidemic;When Ro=1,the system will have a critical bifurcation.[Conclusions]Vaccination is one of the key measures of disease prevention and control.The value of vaccine Ro determines the evolution of epidemic.
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