Global dynamics of a dengue epidemic mathematical model

被引：56
|
作者：
Cai, Liming [1 ,2 ]
Guo, Shumin [3 ]
Li, XueZhi [1 ]
Ghosh, Mini [4 ]
机构：
[1] Xinyang Normal Univ, Dept Math, Xinyang 464000, Peoples R China
[2] Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[3] Beijing Inst Informat Control, Beijing 100037, Peoples R China
[4] Thapar Univ, Sch Math & Comp Applicat, Patiala 147004, Punjab, India
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 04期
基金：
中国国家自然科学基金;
关键词：
DIFFERENTIAL-EQUATIONS; DISEASE; TRANSMISSION; STABILITY; BEHAVIOR; SYSTEMS;
D O I：
10.1016/j.chaos.2009.03.130
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper investigates the global stability of a dengue epidemic model with saturation and bilinear incidence. The constant human recruitment rate and exponential natural death, as well as vector population with asymptotically constant population, are incorporated into the model. The model exhibits two equilibria, namely, the disease-free equilibrium and the endemic equilibrium. The stability of these two equilibria is controlled by the threshold number R-0. It is shown that if R-0 is less than one, the disease-free equilibrium is globally asymptotically stable and in such a case the endemic equilibrium does not exist; if R-0 is greater than one, then the disease persists and the unique endemic equilibrium is globally asymptotically stable. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2297 / 2304
页数：8
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