A model for dengue disease with variable human population

被引：184

作者：

Esteva, L

Vargas, C

机构：

[1] Natl Autonomous Univ Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, Mexico

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

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1999年 / 38卷 / 03期

关键词：

dengue; competitive systems; global stability; threshold; variable population;

D O I：

10.1007/s002850050147

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 with variable human population size is analyzed. We find three threshold parameters which govern the existence of the endemic proportion equilibrium, the increase of the human population size, and the behaviour of the total number of human infectives. We prove the global asymptotic stability of the equilibrium points using the theory of competitive systems, compound matrices, and the center manifold theorem.

引用

页码：220 / 240

页数：21

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