Impulsive Vaccination of an SEIRS Model with Time Delay and Varying Total Population Size

被引：0
作者：
Shujing Gao
Lansun Chen
Zhidong Teng
机构：
[1] Xinjiang University,College of Mathematics and Systems Science
[2] Gannan Normal College,Department of Mathematics and Computer Science
[3] Dalian University of Technology,Department of Applied Mathematics
来源：
Bulletin of Mathematical Biology | 2007年 / 69卷
关键词：
Time delay; Pulse vaccination; SEIRS epidemic model; Global attractivity; Permanence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Pulse vaccination is an effective and important strategy for the elimination of infectious diseases. A delayed SEIRS epidemic model with pulse vaccination and varying total population size is proposed in this paper. We point out, if R* < 1, the infectious population disappear so the disease dies out, while if R*; > 1, the infectious population persist. Our results indicate that a long period of pulsing or a small pulse vaccination rate is sufficient condition for the permanence of the model.
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页码：731 / 745
页数：14
相关论文
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