Pulse vaccination delayed SEIRS epidemic model with saturation incidence

被引：37
作者：
Zhang, Tailei [1 ]
Teng, Zhidong [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2008年 / 32卷 / 07期
基金：
中国国家自然科学基金;
关键词：
epidemic model; permanence; global attractivity; time delay; threshold value; disease-free periodic solution;
D O I：
10.1016/j.apm.2007.06.005
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A delayed SEIRS epidemic model with pulse vaccination and saturation incidence rate is investigated. Using the discrete dynamical system determined by the stroboscopic map, we obtain the existence of the disease-free periodic solution and its exact expression. Further, using the comparison theorem, we establish the sufficient conditions of global attractivity of the disease-free periodic solution and the permanence of disease. Our results indicate that a long latent period of the disease or a proper pulse vaccination rate will lead to eradication of the disease. (C) 2007 Elsevier Inc. All rights reserved.
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页码：1403 / 1416
页数：14
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