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Revista Colombiana de Matemáticas

versão impressa ISSN 0034-7426

Rev.colomb.mat. vol.55 no.2 Bogotá jul./dez. 2021  Epub 31-Maio-2022

https://doi.org/10.15446/recolma.v55n2.102677 

ORIGINAL ARTICLES

Stability analysis of a fractional virotherapy model for cancer treatment

Análisis de estabilidad de un modelo fraccionario para el tratamiento de cáncer

Robinson Tavoni1 

Paulo F. A. Mancera2 

Rubens F. Camargo2  * 

1Instituto Federal de São Paulo, Araraquara, Brazil

2Universidade Estadual Paulista “Júlio de Mesquita Filho” , Botucatu, Brazil


Abstract:

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.

Keywords: Fractional Modeling; Fractional Differential Equation; Oncolitic Virus

Resumen:

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.

Palabras clave: Modelación fraccionaria; Ecuación diferencial Fraccionaria; Virus Oncológico

Texto PDF

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Received: October 17, 2020; Accepted: October 16, 2021

*Correspondencia: Rubens F. Camargo, Instituto de Biociências. UNESP, Botucatu, SP, 18618-689, Brazil. Correo electrónico: rubens.camargo@unesp.br. DOI: https://doi.org/10.15446/recolma.v55n2.102677

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