A model for dengue disease with variable human population

被引：0

作者：

Lourdes Esteva

Cristobal Vargas

机构：

[1] Departamento de Matemáticas,

[2] Facultad de Ciencias,undefined

[3] UNAM,undefined

[4] Circuito Exterior,undefined

[5] C.U.,undefined

[6] México,undefined

[7] D.F. 04510. e-mail: lesteva@servidor.unam.mx,undefined

[8] Departamento de Matemáticas,undefined

[9] CINVESTAV–IPN,undefined

[10] A.P. 14–740,undefined

[11] México,undefined

[12] D.F. 07000. e-mail: cvargas@math.cinvestav.mx,undefined

来源：

Journal of Mathematical Biology | 1999年 / 38卷

关键词：

Key words: Dengue; Competitive systems; Global stability; Threshold; Variable population;

D O I：

暂无

中图分类号：

学科分类号：

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：20

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