Global Stability of an Epidemic Model With General Incidence Rate

被引：0

作者：

Cheng, Xiaowei ^{[1
]}

Hu, Zhixing ^{[1
]}

Ma, Wanbiao ^{[1
]}

机构：

[1] Univ Sci & Technol Beijing, Dept Appl Math & Mech, Beijing 100083, Peoples R China

来源：

PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS | 2008年

关键词：

SEI model; basic reproduction number; equilibria; global stability; NONLINEAR INCIDENCE RATES; INFECTIOUS-DISEASES;

D O I：

暂无

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We study an SEI endemic model with a general contact rate. constant recruitment and disease-caused death. The basic reproduction number is found. By constructing suitable Liapunov function and using Lasalle invariance principle, it is proved that the disease-free equilibrium is globally stable and the disease dies out eventually. The sufficient condition is established to ensure that the unique endemic equilibrium is globally stable. Numerical simulations support our analytical conclusions.

引用

页码：611 / 615

页数：5

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