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Analysis of a dengue disease transmission model
1Departamento de Matemáticas, Facultad de Ciencias, Univ. Nacional Autonoma de Mexico, Mexico, DF, Mexico.
Mathematical Biosciences
|July 10, 1998
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.