Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 34 No. 2 (2016): Revista Integración
Research and Innovation Articles

Oscillations in seasonal SIR models with saturated treatment

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  • L. Rocío González-Ramírez,
  • Osvaldo Osuna,
  • Geiser Villavicencio-Pulido
L. Rocío González-Ramírez
Universidad Michoacana de San Nicolás de Hidalgo. Conacyt.
Osvaldo Osuna
Universidad Michoacana de San Nicolás de Hidalgo.
Geiser Villavicencio-Pulido
Universidad Autónoma Metropolitana Unidad Lerma
DOI: https://doi.org/10.18273/revint.v34n2-2016001

Published 2016-12-09

Keywords

  • Leray-Schauder degree,
  • SIR models,
  • periodic orbits,
  • reproductive number

How to Cite

González-Ramírez, L. R., Osuna, O., & Villavicencio-Pulido, G. (2016). Oscillations in seasonal SIR models with saturated treatment. Revista Integración, Temas De matemáticas, 34(2), 125–131. https://doi.org/10.18273/revint.v34n2-2016001

Copyright (c) 2016 L. Rocío González-Ramírez, Osvaldo Osuna, Geiser Villavicencio-Pulido

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

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.

To cite this article: L.R. González-Ramírez, O. Osuna, G. Villavicencio-Pulido, Oscillations in seasonal SIR models with saturated treatment, Rev. Integr. Temas Mat. 34 (2016), No. 2, 125131.

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