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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Rev.colomb.mat. vol.57 no.1 Bogotá Jan./June 2023 Epub Dec 08, 2025
https://doi.org/10.15446/recolma.v57n1.112372
Artículos originales
Periodic orbits in a seasonal SIRS model with both incidence and treatment generalized rates
Órbitas periódicas en un modelo SIRS estacional con tasas generalizadas de incidencia y tratamiento
1Universidad Michoacana, Morelia, México
2Universidad Michoacana, Morelia, México
3Universidad Autónoma Metropolitana, Lerma de Villada, México
In this work, we prove that a seasonal-dependent SIRS model with general incidence and treatment rates has periodic solutions. This generalized model is analyzed using Leray-Schauder degree theory to prove the existence of a periodic solution. Finally, numerical simulations are shown to illustrate the theoretical results.
Keywords: Leray-Schauder degree; SIRS models; periodic orbits; basic reproduction number
En este trabajo, nosotros probamos que un modelo SIRS estacional denso-dependiente con tasas generalizadas de incidencia y tratamiento tiene soluciones periódicas. Este modelo generalizado es analizado usando teoría de grado de Leray-Schauder para probar la existencia de órbitas periódicas. Finalmente, se muestran simulaciones numéricas para ilustrar los resultados teóricos.
Palabras clave: Grado Leray-Schauder; modelos SIRS; órbitas periódicas; número de reproducción básico
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Received: September 16, 2021; Accepted: April 01, 2022
This is an open-access article distributed under the terms of the Creative Commons Attribution License
