Persistence and Periodic Solution on a Nonautonomous SIS Model with Delays

被引：7

作者：

Sanling Yuan Zhien Ma Zhen JinDepartment of Mathematics Shanghai Jiaotong University Shanghai ChinaDepartment of Applied Mathematics Xian Jiaotong University Xian China ^{[200030
,710049
]}

机构：

来源：

Acta Mathematicae Applicatae Sinica(English Series) | 2003年 / 01期

关键词：

time delay; Liapunov functional; persistence; periodic solution; global stability;

D O I：

暂无

中图分类号：

R181.3 [流行病学各论];

学科分类号：

100401 ;

摘要：

<正> Abstract An SIS model with periodic maximum infectious force,recruitment rate and the removal rate ofthe infectives has been investigated in this article.Sufficient conditions for the permanence and extinction of thedisease are obtained.Furthermore,the existence and global stability of positive periodic solution are established.Finally, we present a procedure by which one can control the parameters of the model to keep the infectives stayeventually in a desired set.

引用

页码：167 / 176

页数：10

共 4 条

[1] Two SIS epidemiologic models with delays [J].

Hethcote, HW ;

van den Driessche, P .

JOURNAL OF MATHEMATICAL BIOLOGY, 2000, 40 (01) :3-26

[2] An SIS epidemic model with variable population size and a delay [J].

Hethcote, HW ;

vandenDriessche, P .

JOURNAL OF MATHEMATICAL BIOLOGY, 1995, 34 (02) :177-194

[3] MODELS FOR THE SPREAD OF UNIVERSALLY FATAL DISEASES [J].

BRAUER, F .

JOURNAL OF MATHEMATICAL BIOLOGY, 1990, 28 (04) :451-462

[4]

Global stability results for a generalized Lotka-Volterra system with distributed delays[J] . E. Beretta,V. Capasso,F. Rinaldi.Journal of Mathematical Biology . 1988 (6)

← 1 →