Global stability of an SEIR epidemic model with vaccination

被引：8

作者：

Wang, Lili ^{[1
]}

Xu, Rui ^{[1
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Inst Appl Math, 97 Heping West Rd, Shijiazhuang 050003, Hebei Province, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2016年 / 9卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Global stability; SEIR epidemic model; vaccination; compound matrices; DYNAMICS; IMMUNITY; VACCINES; IMPACT; HIV;

D O I：

10.1142/S1793524516500820

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, an SEIR epidemic model with vaccination is formulated. The results of our mathematical analysis indicate that the basic reproduction number plays an important role in studying the dynamics of the system. If the basic reproduction number is less than unity, it is shown that the disease-free equilibrium is globally asymptotically stable by comparison arguments. If it is greater than unity, the system is permanent and there is a unique endemic equilibrium. In this case, sufficient conditions are established to guarantee the global stability of the endemic equilibrium by the theory of the compound matrices. Numerical simulations are presented to illustrate the main results.

引用

页数：23

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