Publicado

2022-05-18

Stability analysis of a fractional virotherapy model for cancer treatment

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

DOI:

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

Palabras clave:

Fractional Modeling, Fractional Differential Equation, Oncolitic Virus (en)
Modelación fraccionaria, Ecuación diferencial Fraccionaria, Virus Oncológico (es)

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Autores/as

  • Robinson Tavoni Instituto Federal de São Paulo
  • Paulo F. A. Mancera Universidade Estadual Paulista “Júlio de Mesquita Filho”
  • Rubens F. Camargo Universidade Estadual Paulista “Júlio de Mesquita Filho”

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.

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.

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Cómo citar

APA

Tavoni, R., A. Mancera, P. F. y Camargo, R. F. (2022). Stability analysis of a fractional virotherapy model for cancer treatment. Revista Colombiana de Matemáticas, 55(2), 177–196. https://doi.org/10.15446/recolma.v55n2.102677

ACM

[1]
Tavoni, R., A. Mancera, P.F. y Camargo, R.F. 2022. Stability analysis of a fractional virotherapy model for cancer treatment. Revista Colombiana de Matemáticas. 55, 2 (may 2022), 177–196. DOI:https://doi.org/10.15446/recolma.v55n2.102677.

ACS

(1)
Tavoni, R.; A. Mancera, P. F.; Camargo, R. F. Stability analysis of a fractional virotherapy model for cancer treatment. rev.colomb.mat 2022, 55, 177-196.

ABNT

TAVONI, R.; A. MANCERA, P. F.; CAMARGO, R. F. Stability analysis of a fractional virotherapy model for cancer treatment. Revista Colombiana de Matemáticas, [S. l.], v. 55, n. 2, p. 177–196, 2022. DOI: 10.15446/recolma.v55n2.102677. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/102677. Acesso em: 5 ago. 2024.

Chicago

Tavoni, Robinson, Paulo F. A. Mancera, y Rubens F. Camargo. 2022. «Stability analysis of a fractional virotherapy model for cancer treatment». Revista Colombiana De Matemáticas 55 (2):177-96. https://doi.org/10.15446/recolma.v55n2.102677.

Harvard

Tavoni, R., A. Mancera, P. F. y Camargo, R. F. (2022) «Stability analysis of a fractional virotherapy model for cancer treatment», Revista Colombiana de Matemáticas, 55(2), pp. 177–196. doi: 10.15446/recolma.v55n2.102677.

IEEE

[1]
R. Tavoni, P. F. A. Mancera, y R. F. Camargo, «Stability analysis of a fractional virotherapy model for cancer treatment», rev.colomb.mat, vol. 55, n.º 2, pp. 177–196, may 2022.

MLA

Tavoni, R., P. F. A. Mancera, y R. F. Camargo. «Stability analysis of a fractional virotherapy model for cancer treatment». Revista Colombiana de Matemáticas, vol. 55, n.º 2, mayo de 2022, pp. 177-96, doi:10.15446/recolma.v55n2.102677.

Turabian

Tavoni, Robinson, Paulo F. A. Mancera, y Rubens F. Camargo. «Stability analysis of a fractional virotherapy model for cancer treatment». Revista Colombiana de Matemáticas 55, no. 2 (mayo 18, 2022): 177–196. Accedido agosto 5, 2024. https://revistas.unal.edu.co/index.php/recolma/article/view/102677.

Vancouver

1.
Tavoni R, A. Mancera PF, Camargo RF. Stability analysis of a fractional virotherapy model for cancer treatment. rev.colomb.mat [Internet]. 18 de mayo de 2022 [citado 5 de agosto de 2024];55(2):177-96. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/102677

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