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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
DOI:
https://doi.org/10.15446/recolma.v57n1.112372Palabras clave:
Leray-Schauder degree, SIRS models, periodic orbits, basic reproduction number (en)Grado Leray-Schauder, modelos SIRS, órbitas periódicas, número de reproducción básico (es)
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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.
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.
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