Analysis of a Dengue disease transmission model

被引：359

作者：

Esteva, L ^{[1
]}

Vargas, C

机构：

[1] Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, Mexico

[2] Inst Politecn Nacl, CINVESTAV, Dept Matemat, Mexico City 07000, DF, Mexico

来源：

MATHEMATICAL BIOSCIENCES | 1998年 / 150卷 / 02期

关键词：

Dengue disease; endemic equilibrium; global stability; competitive systems; threshold number;

D O I：

10.1016/S0025-5564(98)10003-2

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A model for the transmission of dengue fever in a constant human population and variable vector population is discussed. A complete global analysis is given, which uses the results of the theory of competitive systems and stability of periodic orbits, to establish the global stability of the endemic equilibrium. The control measures of the vector population are discussed in terms of the threshold condition, which governs the existence and stability of the endemic equilibrium. (C) 1998 Elsevier Science Inc. All rights reserved.

引用

页码：131 / 151

页数：21

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