中文摘要：

该文讨论了一类带有接种的流行病模型．在该模型中假设恢复后的个体与被接种的个体均具有确定的免疫期，它是一个时滞微分系统．通过分析，得到了地方病平衡点存在的阈值，以及无病平衡点和地方病平衡点局部渐近稳定和全局渐近稳定的充分条件．

英文摘要：

An SIRS epidemic model with vaccination is investigated in this paper. For this model, the authors assume that both the immunity periods of the removed individuals and the vaccinated individuals are fixed constants, which may be different each other. For locally asymptotical stability and globally asymptotical stability of the disease-free equilibrium and the endemic equilibrium, sufficient conditions are obtained for this model.