GLOBAL STABILITY OF THE ENDEMIC EQUILIBRIUM AND UNIFORM PERSISTENCE IN EPIDEMIC MODELS WITH SUBPOPULATIONS

被引：34

作者：

LIN, XD ^{[1
]}

SO, JWH ^{[1
]}

机构：

[1] UNIV ALBERTA,DEPT MATH,EDMONTON T6G 2G1,ALBERTA,CANADA

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS | 1993年 / 34卷

关键词：

D O I：

10.1017/S0334270000008900

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the epidemic model with subpopulations introduced in Hethcote [5]. It is shown that if the endemic equilibrium exists, then the system is uniformly persistent. Moreover, the endemic equilibrium is globally asymptotically stable under the assumption of small effective contact rates between different subpopulations.

引用

页码：282 / 295

页数：14

共 15 条

[1] PERSISTENCE IN DYNAMIC-SYSTEMS
BUTLER, G
WALTMAN, P
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1986, 63 (02) : 255 - 263
[2] Fiedler M., 1962, CZECH MATH J, V12, P382
[3] GLOBAL STABILITY AND PERSISTENCE OF SIMPLE FOOD-CHAINS
FREEDMAN, HI
SO, JWH
[J]. MATHEMATICAL BIOSCIENCES, 1985, 76 (01) : 69 - 86
[4] UNIFORM PERSISTENCE AND CHAIN RECURRENCE
GARAY, BM
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 139 (02) : 372 - 381
[5] HETHCOTE H W, 1976, Mathematical Biosciences, V28, P335, DOI 10.1016/0025-5564(76)90132-2
[6] STABILITY OF THE ENDEMIC EQUILIBRIUM IN EPIDEMIC MODELS WITH SUBPOPULATIONS
HETHCOTE, HW
THIEME, HR
[J]. MATHEMATICAL BIOSCIENCES, 1985, 75 (02) : 205 - 227
[7] IMMUNIZATION MODEL FOR A HETEROGENEOUS POPULATION
HETHCOTE, HW
[J]. THEORETICAL POPULATION BIOLOGY, 1978, 14 (03) : 338 - 349
[8] HOFBAUER J, IN PRESS P AM MATH S
[9] MODELING AND ANALYZING HIV TRANSMISSION - THE EFFECT OF CONTACT PATTERNS
JACQUEZ, JA
SIMON, CP
KOOPMAN, J
SATTENSPIEL, L
PERRY, T
[J]. MATHEMATICAL BIOSCIENCES, 1988, 92 (02) : 119 - 199
[10] LAJMANOVICH A, 1976, Mathematical Biosciences, V28, P221, DOI 10.1016/0025-5564(76)90125-5

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