Periodic solutions for seasonal SIQRS models with nonlinear infection terms
Date
2019-07-24
Authors
Guerrero-Flores, Shaday
Osuna, Osvaldo
Vargas-de-Leon, Cruz
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Leray-Schauder degree, SIQRS models, Periodic orbits
Citation
Guerrero-Flores, S., Osuna, O., & Vargas-de-León, C. (2019). Periodic solutions for seasonal SIQRS models with nonlinear infection terms. Electronic Journal of Differential Equations, 2019(92), pp. 1-13.
Rights
Attribution 4.0 International