title: Analysis of a dengue disease transmission model.
abstract: 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.
authors.affiliation: Departamento de Matemáticas, Facultad de Ciencias, Univ. Nacional Autonoma de Mexico, Mexico, DF, Mexico.
authors.forename: L
authors.initials: L
authors.lastname: Esteva
authors.forename: C
authors.initials: C
authors.lastname: Vargas
mesh_terms: D000330:Aedes / Q000502:physiology* / Q000821:virology; D000818:Animals; D003198:Computer Simulation; D003715:Dengue / Q000453:epidemiology / Q000635:transmission*; D003716:Dengue Virus / Q000502:physiology; D006801:Humans; D007303:Insect Vectors / Q000502:physiology* / Q000821:virology; D007306:Insecticides / Q000627:therapeutic use; D008954:Models, Biological; D009032:Mosquito Control / Q000379:methods; D009716:Numerical Analysis, Computer-Assisted; D011157:Population Dynamics
chemical_list: D007306:Insecticides