Dynamic Analysis of a Class of SEIV Infectious Disease Models with Vaccination and Vertical Transmission
A SEIV infectious disease model with both vaccination and vertical transmission is established by using the dynamic method.The threshold R0 is given by the next generation matrix method to determine the prevalence of the disease.When R0<1,the model has a unique disease-free equilibrium,and it is proved that the disease-free equilibrium is globally asymptotically stable by establishing a suitable Lyapunov function.When R0>1,the model has a unique endemic equilibrium and is consistently persistent.The above conclusions were verified by numerical simulation.In addition,in order to better control and prevent the disease,the effect of several key parameters on the disease transmission is simulated.
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