Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
Un modelo de ecuaciones diferenciales con retraso para la dinámica de transmisión de enfermedades
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Palabras clave

delay differential equation
integro-differential equation
epidemic model
quarantine
stability switch
oscillations
stage structure
ecuación diferencial con retraso
ecuación integro-diferencial
modelo epidémico
cuarentena
cambio de estabilidad
oscilaciones
estructura por etapas

Cómo citar

Erdem, M., Safan, M., & Castillo-Chavez, C. (2019). Un modelo de ecuaciones diferenciales con retraso para la dinámica de transmisión de enfermedades. Revista De Matemática: Teoría Y Aplicaciones, 27(1), 49–71. https://doi.org/10.15517/rmta.v27i1.39948

Resumen

Se propone un modelo epidémico de ecuaciones diferenciales con retraso del tipo SIQR (por sus siglas en inglés) (Susceptible-Infeccioso-En cuarentena-Recuperado), con períodos arbitrariamente distribuidos en la clase de aislamiento o cuarentena. Se analizan sus características matemáticas esenciales. Además, se identifican las condiciones que respaldan la existencia de soluciones periódicas a través de la bifurcación de Hopf. Los tiempos de espera no exponenciales en la clase de cuarentena/aislamiento conducen no solo a oscilaciones sino que también pueden soportar cambios de estabilidad.

https://doi.org/10.15517/rmta.v27i1.39948
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PS (English)
DVI (English)

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