Global stability of an SEIQV epidemic model with general incidence rate

被引：5

作者：

Yang, Yu ^{[1
]}

Zhang, Cuimei ^{[2
]}

Jiang, Xunyan ^{[3
]}

机构：

[1] Zhejiang Int Studies Univ, Sch Sci & Technol, Hangzhou 310012, Zhejiang, Peoples R China

[2] Anhui Univ Sci & Technol, Sch Sci, Huainan 232001, Anhui, Peoples R China

[3] Xinyu Univ, Sch Math & Comp Sci, Xinyu 338004, Jiangxi, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2015年 / 8卷 / 02期

关键词：

Epidemic model; Lyapunov function; geometric approach; global stability; NONLINEAR INCIDENCE RATE; TOTAL POPULATION-SIZE; GEOMETRIC APPROACH; LYAPUNOV FUNCTION; DYNAMICS; SYSTEMS; SIR; TRANSMISSION; VACCINATION; INFECTION;

D O I：

10.1142/S1793524515500205

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, a class of SEIQV epidemic model with general nonlinear incidence rate is investigated. By constructing Lyapunov function, it is shown that the disease-free equilibrium is globally asymptotically stable if the basic reproduction number R-0 <= 1. If R-0 > 1, we show that the endemic equilibrium is globally asymptotically stable by applying Li and Muldowney geometric approach.

引用

页数：13

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