An SEIRS epidemic model with two delays and pulse vaccination

作者：Jiao, Jianjun^*; Chen, Lansun; Cai, Shaohong

来源：Journal of Systems Science and Complexity, 2008, 21(2): 217-225.

DOI：10.1007/s11424-008-9105-y

• delay
• global attractivity
• persistence
• pulse vaccination
• SEIRS epidemic model.

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-Delta < 1, and the infectious population is uniformly persistent if R-Delta > 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.

• 出版日期2008-6
• 单位中国科学院数学与系统科学研究院; 大连理工大学; 贵州财经大学