A delayed epidemic model with pulse vaccination

被引:53
|
作者
Wei, Chunjin [1 ,2 ]
Chen, Lansun [1 ]
机构
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
[2] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
关键词
D O I
10.1155/2008/746951
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A delayed SEIRS epidemic model with pulse vaccination and nonlinear incidence rate is proposed. We analyze the dynamical behaviors of this model and point out that there exists an infection-free periodic solution which is globally attractive if R-1 < 1, R-2 > 1, and the disease is permanent. Our results indicate that a short period of pulse or a large pulse vaccination rate is the sufficient condition for the eradication of the disease. The main feature of this paper is to introduce time delay and impulse into SEIRS model and give pulse vaccination strategies. Copyright (C) 2008 C. Wei.
引用
收藏
页数:12
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