脉搏种痘是有效、重要的策略根除传染疾病。作者与二延期和脉搏种痘调查一个 SEIRS 流行模型。由使用频闪观测仪的地图决定的分离动态系统,作者获得如果,传染人口灭绝 R Δ【 1,并且传染人口是一致地坚持的如果 R Δ】 1。结果显示脉搏种痘或大脉搏种痘率的一个短时期是一个足够的条件根除疾病。
Pulse vaccination is an effective and important strategy to eradicate an infectious disease. The authors investigate an SEIRS epidemic model with two delays and pulse vaccination. By using the discrete dynamical system determined by stroboscopic map, the authors obtain that the infectious population dies out if R△ 〈 1, and the infectious population is uniformly persistent if R^△ 〉 1. The results indicate that a short period of pulse vaccination or a large pulse vaccination rate is a sufficient condition to eradicate the disease.