Periodic solutions for seasonal Siqrs models with nonlinear infection terms

Shaday Guerrero-Flores, Osvaldo Osuna, Cruz Vargas-De-León

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

In this work, we considered a family of SIRS models for a fatal disease, with seasonal variation in the contact rate and isolation control strategies. We establish the existence of periodic orbits of seasonal SIQRS disease, by using Leray-Schauder degree theory. Examples related to the seasonal variation in respiratory syncytial virus infection are included.

Original languageEnglish
Article number92
JournalElectronic Journal of Differential Equations
Volume2019
StatePublished - 2019

Keywords

  • Leray-Schauder degree
  • Periodic orbits
  • SIQRS models

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