title: A model for dengue disease with variable human population.
abstract: 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.
authors.affiliation: Departamento de Matemáticas, Facultad de Ciencias, UNAM, C.U., México, D.F. lesteva@servidor.unam.mx
authors.forename: L
authors.initials: L
authors.lastname: Esteva
authors.forename: C
authors.initials: C
authors.lastname: Vargas
mesh_terms: D000330:Aedes / Q000276:immunology; D000818:Animals; D003715:Dengue / Q000453:epidemiology*; D003716:Dengue Virus / Q000276:immunology*; D006801:Humans; D007303:Insect Vectors / Q000276:immunology; D008954:Models, Biological; D011156:Population Density; D014505:Urban Population