Electronic Journal of Differential Equations,
Vol. 2019 (2019), No. 92, pp. 1-13.

Title: Periodic solutions for seasonal SIQRS models with nonlinear infection terms

Authors: Shaday Guerrero-Flores (Univ. Michoacana, Morelia, Mich., Mexico)
         Osvaldo Osuna          (Univ. Michoacana, Morelia, Mich., Mexico)
         Cruz Vargas-de-Leon    (Inst. Politecnico Nacional, C. Mexico, Mexico)
 
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.

Submitted April 25, 2018. Published July 24, 2019.
Math Subject Classifications: 37J45, 34C25, 92D30, 34D23.
Key Words: Leray-Schauder degree; SIQRS models; periodic orbits.