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An age-structured SIR epidemic model with leaky vaccination

GUO Shu-li,GUO Hong-jian(College of Mathematics and Informations Science Teachers College,Xinyang 464000,China)  
An age-structured SIR epidemic model with leaky vaccination is modeled in this paper,basing on analysis to vaccination subject(including newborns) and vaccination strategy with the vaccine efficacy.we derive the conditions of the existence of the disease-free equilibrium and endemic equilibrium,as well as that of the locally asymptotical stability of the disease-free equilibrium.
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