Generalized Hamiltonian and Lagrangian aspects of a model for virus–tumor interaction in oncolytic virotherapy

Mathematical Methods in the Applied Sciences, Journal Year: 2024, Volume and Issue: unknown

Published: Oct. 17, 2024

We analyze the generalized Hamiltonian structure of a system first‐order ordinary differential equations for Jenner et al. ( Letters in Biomathematics 5 (2018), no. S1, S117–S136). The is used modeling interaction an oncolytic virus with tumor cell population. Our analysis based on existence Jacobi last multiplier and time‐dependent first integral. Suitable conditions model parameters allow reduction problem to planar equations, flows are described. geometry also investigated using symplectic cosymplectic methods.

Language: Английский

Stability analysis of a fractional virotherapy model for cancer treatment

Revista Colombiana de Matemáticas, Journal Year: 2022, Volume and Issue: 55(2), P. 177 - 196

Published: May 18, 2022

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

Language: Английский