Global Stability of Multigroup Dengue Disease Transmission Model

被引：10
作者：
Ding, Deqiong [1 ]
Wang, Xueping [2 ]
Ding, Xiaohua [1 ]
机构：
[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China
[2] Urumqi Vocat Univ, Dept Educ, Urumqi 830002, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
关键词：
NONLINEAR INCIDENCE; FEVER;
D O I：
10.1155/2012/342472
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate a class of multigroup dengue epidemic model. We show that the global dynamics are determined by the basic reproductive number R-0. We present that when R-0 <= 1, there is a unique disease-free equilibrium which is globally asymptotically stable; when R-0 > 1, there exists a unique endemic equilibrium and it is globally asymptotically stable proved by a graph-theoretic approach to the method of global Lyapunov function.
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页数：11
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