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.
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页码：220 / 240
页数：20
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