Global asymptotic stability of an SIR epidemic model with distributed time delay

被引：219

作者：

Beretta, E

Hara, T

Ma, WB ^{[1
]}

Takeuchi, Y

机构：

[1] Shizuoka Univ, Fac Engn, Dept Syst Engn, Hamamatsu, Shizuoka 4328561, Japan

[2] Univ Urbino, Ist Biomatemat, I-61029 Urbino, Italy

[3] Univ Osaka Prefecture, Fac Engn, Dept Math Sci, Sakai, Osaka 5998531, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 06期

关键词：

SIR epidemic model; distributed time delay; global asymptotic stability; invariance principle; Liapunov functional;

D O I：

10.1016/S0362-546X(01)00528-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The SIR epidemic model with distributed time delay that specifies the numbers of the population susceptible to disease was analyzed. The global asymptotic stability of the disease free equilibrium E0 and the endemic equilibrium E+ was considered. The analysis using the Liapunov functional V shows that the endemic equilibrium E+ is feasible and also globally asymptotically stable. Results show that for small time delay the condition gives the threshold for an epidemic to occur.

引用

页码：4107 / 4115

页数：9

共 11 条

[1] POPULATION BIOLOGY OF INFECTIOUS-DISEASES .1. [J].