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.

引用

页数：11

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