Oscilaciones en modelos SIR estacionales con tratamiento saturado

• González-Ramírez, L. Rocío ^[1] ; Osuna, Osvaldo ^[1] ; Villavicencio-Pulido, Geiser ^[2]
  1. [1] Universidad Michoacana de San Nicolás de Hidalgo

     Universidad Michoacana de San Nicolás de Hidalgo

     México

     
  2. [2] Universidad Autónoma Metropolitana

     Universidad Autónoma Metropolitana

     México

     
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 34, Nº. 2, 2016 (Ejemplar dedicado a: Revista Integración), págs. 125-131
• Idioma: español
• DOI: 10.18273/revint.v34n2-2016001
• Títulos paralelos:
  • Oscillations in seasonal SIR models with saturated treatment
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    En este trabajo presentamos condiciones suficientes para la existencia de soluciones periódicas en modelos epidemiológicos estacionales de tipo SIR con funciones de incidencia y de tratamiento saturados. Utilizamos la teoría de grado de Leray-Schauder para establecer la existencia de órbitas periódicas en tales modelos.

  • English

    In this work, we give some conditions for the existence of periodic orbits for a Susceptible-Infectious-Recovered (SIR) model with seasonal saturated incidence functions and saturated treatment rate. We use LeraySchauder degree theory to prove the existence of periodic orbits.

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