Analysis of the dynamics of a model using ONYX-015 adenoviruses in cancer therapy

GNANGBI DONALD ODILON N'DRI; Aka Fulgence NINDJIN; Kessé Thiban TIA

doi:10.61383/ejam.202641119

Authors

N'DRI Gnangbi Donald Odilon Research and Formation Unit of Mathematics and Computer Science, Félix Houphouët Boigny University of Abidjan Cocody, Abidjan, Ivory Coast Corresponding Author https://orcid.org/0009-0004-8911-7156
NINDJIN Aka Fulgence Research and Formation Unit of Mathematics and Computer Science, Félix Houphouët Boigny University of Abidjan Cocody, Abidjan, Ivory Coast
TIA Kessé Thiban Research and Formation Unit of Mathematics and Computer Science, Alassane Ouattara University of Bouaké, Ivory Coast https://orcid.org/0009-0004-3117-7391

DOI:

https://doi.org/10.61383/ejam.202641119

Keywords:

ONYX-015 adenovirus, Cancer therapy, Tumor cells, Boundedness, Permamence, Lyapunov function, Equilibrium, Local stability, Global stability

Abstract

Cancerous cells are a danger to the human organism. They can originate in any cell in the body. Although various cancer treatments exist, it has been shown that they are effective in some cases but less so in others. For this reason, drawing on the stuby by Yongmei Su and al, we propose a dynamic study that models the treatment of a tumor using adenoviruses. Despite the fact that the disease-free equilibrium point is unconditionally unstable, our study shows that the internal equilibrium point, under certain conditions, is locally asymptotically and globally stable.

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