Dynamic Behaviors of an SEIR Epidemic Model in a Periodic Environment with Impulse Vaccination

被引：1
|
作者：
Yan, Mei [1 ,2 ]
Xiang, Zhongyi [1 ,2 ]
机构：
[1] Key Lab Biol Resources Protect & Utilizat Hubei P, Enshi 445000, Hubei, Peoples R China
[2] Hubei Inst Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2014年 / 2014卷
关键词：
PULSE VACCINATION; SEASONALITY; THRESHOLD;
D O I：
10.1155/2014/262535
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a nonautonomous SEIR endemic model with saturation incidence concerning pulse vaccination. By applying Floquet theory and the comparison theorem of impulsive differential equations, a threshold parameter which determines the extinction or persistence of the disease is presented. Finally, numerical simulations are given to illustrate the main theoretical results and it shows that pulse vaccination plays a key role in the disease control.
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页数：9
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