Stability analysis of a fractional virotherapy model for cancer treatment

• Robinson Tavoni ^[2] ; Mancera, Paulo F. A. ^[1] ; Camargo, Rubens F. ^[1]
  1. [1] Universidade Estadual Paulista

     Universidade Estadual Paulista

     Brasil

     
  2. [2] Instituto Federal de São Paulo
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 55, Nº. 2, 2021, págs. 177-196
• Idioma: inglés
• DOI: 10.15446/recolma.v55n2.102677
• Títulos paralelos:
  • Análisis de estabilidad de un modelo fraccionario para el tratamiento de cáncer
• Enlaces
  • Texto completo
• Resumen
  • español

    Este artículo presenta un análisis de estabilidad de un modelo de ecuaciones diferenciales ordinarias para el tratamiento de cáncer usando virus oncológicos siendo consideradas las versiones clásica y fraccionaria. Usando diferentes valores para el orden de la derivada fraccionaria de Caputo, se presentan y discuten tres escenarios para tal tratamiento.

  • English

    This paper presents a stability analysis of a differential equations model related to the cancer treatment with an oncolytic virus in its classical and fractional version via Caputo derivatives. Numerical simulations of three possible scenarios are presented and support the discussions on the advantages of using fractional modeling.

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