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Qualitative Analysis of an SIR Epidemic Model with Vaccination

XIN Jing-qi,WANG Wen-juan(Department of Mathematics Yuncheng University,Yuncheng Shanxi 044000,China)  
Based on the classical SIR epidemic model,an SIR-V epidemic model with vaccination was established.Two cases were considered that the vaccinated individuals have a fixed period of immunity,and that the immune ability loses by the exponential form.The basic reproduction number was found,and the global stability was proved.
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