Abstract
An SEIR model with varying total population size and continuous vaccination is proposed. The stability of the disease-free equilibrium is discussed, and the global stability of the disease-free equilibrium is discussed with the Lasalle's invariance principle. Using analytical methods, the existence and uniqueness of the positive equilibrium are obtained, and it's stability is also discussed by Routh-Hurwith criterion. Finally, numerical simulations are also included.
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