Ciencias,UNAM

Browsing Matemáticas by Author "Vargas, C"

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Browsing Matemáticas by Author "Vargas, C"

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  • Analysis of a Dengue disease transmission model
    Esteva, L; Vargas, C (1998)
    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 ...
  • Coexistence of different serotypes of dengue virus
    Esteva, L; Vargas, C (2003)
    We formulate a non-linear system of differential equations that models the dynamics of dengue fever. This disease is produced by any of the four serotypes of dengue arbovirus. Each serotype produces permanent immunity to ...
  • Influence of vertical and mechanical transmission on the dynamics of dengue disease
    Esteva, L; Vargas, C (2000)
    We formulate a non-linear system of differential equations that models the dynamics of transmission of dengue fever. We consider vertical and mechanical transmission in the vector population, and study the effects that ...
  • A model for dengue disease with variable human population
    Esteva, L; Vargas, C (1999)
    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 ...
  • Modelling the dynamics of West Nile Virus
    Cruz-Pacheco, G; Esteva, L; Montano-Hirose, JA; Vargas, C (2005)
    In this work we formulate and analyze a mathematical model for the transmission of West Nile Virus (WNV) infection between vector (mosquito) and avian population. We find the Basic Reproductive Number R-0 in terms of ...
  • Seasonality and Outbreaks in West Nile Virus Infection
    Cruz-Pacheco, G; Esteva, L; Vargas, C (2009)
    In this paper we analyze the impact of seasonal variations on the dynamics of West Nile Virus infection. We are interested in the generation of new epidemic peaks starting from an endemic state. In many cases, the oscillations ...

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