中文摘要：

研究具有脉冲接种的手足口病SEIR传播模型,首先得到了系统的无病周期解,其次证明了无病周期解的渐进稳定性并得到了系统渐进稳定性的条件.最后,根据已获得的数据对系统进行了数值模拟,得到了脉冲接种周期的临界值.

英文摘要：

Based on the characteristics of the transmission for the hand foot mouth disease,an ODE SEIR model with pulse vacation is formulated and analyzed.The disease free periodic solution is solved and its globally asymptotically stability is proved.By the data of the HFND in Henan Province,the maximum length of pulse vacation is obtained.