Analysis of a SIS Epidemic Model with Two Strians

被引：0

作者：

Cai, Liming ^{[1
]}

Li, Xuezhi ^{[1
]}

机构：

[1] Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Peoples R China

来源：

PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年

关键词：

epidemic model; strains; reproductive number; global stability; POPULATION; INFECTION; EVOLUTION;

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：

An SIS epidemic model with two strains and variable population size is investigated. The model is analyzed for stability and bifurcation behavior. It is showed that the sustained oscillations of the ODE model are not possible and the endemic proportions can approach the infection-free, boundary equilibrium and the endemic equilibrium under the conditions of the obtained reproductive number of disease transmission. The expanded model incorporates recovery time of those infected individuals. By using the theory for functional differential equations, the effect of time delay on the stability of equilibria is investigated.

引用

页码：37 / 41

页数：5

共 15 条

[1] Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size [J].

Ackleh, AS ;

Allen, LJS .

JOURNAL OF MATHEMATICAL BIOLOGY, 2003, 47 (02) :153-168

[2]

ANDERSON R M, 1991

[3] ANALYSIS OF A DISEASE TRANSMISSION MODEL IN A POPULATION WITH VARYING SIZE [J].

BUSENBERG, S ;

VANDENDRIESSCHE, P .

JOURNAL OF MATHEMATICAL BIOLOGY, 1990, 28 (03) :257-270

[4]

[CAI Liming 蔡礼明], 2007, [应用数学, Mathematics Applicata], V20, P328

[5] A delay-differential equation model of HIV infection of CD4+ T-cells [J].

Culshaw, RV ;

Ruan, SG .

MATHEMATICAL BIOSCIENCES, 2000, 165 (01) :27-39

[6] Ecology and evolution of the flu [J].

Earn, DJD ;

Dushoff, J ;

Levin, SA .

TRENDS IN ECOLOGY & EVOLUTION, 2002, 17 (07) :334-340

[7] Epidemiological Models and Lyapunov Functions [J].

Fall, A. ;

Iggidr, A. ;

Sallet, G. ;

Tewa, J. J. .

MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2007, 2 (01) :62-83

[8]

Hale J., 1997, THEORY FUNCTIONAL DI

[9] Strain replacement in an epidemic model with super-infection and perfect vaccination [J].

Iannelli, M ;

Martcheva, M ;

Li, XZ .

MATHEMATICAL BIOSCIENCES, 2005, 195 (01) :23-46

[10] Avian-human influenza epidemic model [J].

Iwami, Shingo ;

Takeuchi, Yasuhiro ;

Liu, Xianning .

MATHEMATICAL BIOSCIENCES, 2007, 207 (01) :1-25

← 1 2 →