A SVIR epidemic model with bilinear incidence and time-delay was investigated for pulse preventive vaccination. By using comparison principle, the global attractivity of infection-free periodic solution was verified when R<1 and the sufficient condition for permanent diseases was given out to be R* >1.%研究脉冲预防接种下具有双线性发生率和带时滞的SVIR传染病模型,利用比较原理,证明当R*<1时无病周期解的全局吸引性,并给出疾病持续生存的充分条件R*>1.
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