Existence of periodic solutions for seasonal epidemic models with quarantine

• Autores: Osvaldo Osuna, Shaday Guerrero Flores, Geiser Villavicencio Pulido
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 36, Nº. 1, 2018 (Ejemplar dedicado a: Revista Integración, temas de matemáticas), págs. 37-47
• Idioma: inglés
• DOI: 10.18273/revint.v36n1-2018003
• Títulos paralelos:
  • Existencia de soluciones periódicas para modelos epidemiológicos estacionales con cuarentena
• Enlaces
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• Resumen
  • español

    En este trabajo establecemos la existencia de órbitas periódicas para un modelo epidemiológico estacional con cuarentena y tasa de incidencia saturada. Para realizar lo anterior, usamos un esquema variacional basado enla teoría de grado de Leray-Schauder. También presentamos algunos ejemplos numéricos para ilustrar nuestros resultados analíticos.

  • English

    In this work, we establish the existence of periodic orbits for a seasonal saturated epidemiological model of a population consisting of susceptible, infectious and quarantined individuals (an SIQS model). To do so,we use Leray-Schauder degree theory. We also provide numerical examples of these solutions.

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