A non-autonomous epidemic model with time delay and vaccination

被引：5
|
作者：
Zhang, Tailei [1 ,2 ]
Liu, Junli [1 ]
Teng, Zhidong [2 ]
机构：
[1] Xi An Jiao Tong Univ, Dept Appl Math, Xian 710049, Peoples R China
[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 01期
关键词：
non-autonomous SIRVS epidemic model; time delay; threshold; permanence; extinction; vaccination; BASIC REPRODUCTION NUMBER; VECTOR-BORNE DISEASES; THRESHOLD CONDITIONS; SEASONAL-VARIATION; PERSISTENCE; SEIRS;
D O I：
10.1002/mma.1142
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a non-autonomous SIRVS epidemic model with time delay and vaccination is investigated. We assume that the vaccinated have a constant immunity period. Some new threshold conditions are obtained. These threshold conditions govern the extinction and permanence of the disease. When the model degenerates into the periodic or autonomous case, the corresponding basic reproduction number can be derived from these threshold conditions. Copyright (C) 2009 John Wiley & Sons, Ltd.
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页码：1 / 11
页数：11
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