On a nonautonomous SEIRS model in epidemiology

被引：109
|
作者：
Zhang, Tailei [1 ]
Teng, Zhidong [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
BULLETIN OF MATHEMATICAL BIOLOGY | 2007年 / 69卷 / 08期
基金：
中国国家自然科学基金;
关键词：
nonautonomous SEIRS epidemic model; disease; permanence; extinction;
D O I：
10.1007/s11538-007-9231-z
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we derive some threshold conditions for permanence and extinction of diseases that can be described by a nonautonomous SEIRS epidemic model. Under the quite weak assumptions, we establish some sufficient conditions to prove the permanence and extinction of disease. Some new threshold values are determined.
引用
收藏
页码：2537 / 2559
页数：23
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