Stability analysis and numerical simulations for interactions of tumor-immune system with drug delivery

Manisha Yadav and Paramjeet Singh

Chaos, Solitons & Fractals, 2025, vol. 192, issue C

Abstract: This paper presents a five-dimensional mathematical model that describes the complex interactions between tumor cells, components of the immune system, and the effects of administering drugs to specific cellular locations. We have included logistic growth to elucidate tumor cell proliferation and the framework is defined by a system of nonlinear differential equations. Furthermore, we investigate the presence and stability of equilibria with and without drug. In both cases, the model have two distinct equilibria: a tumor-free state and a tumorous equilibrium. However, in the absence of drug, we observe that each equilibrium is characterized by a distinct center manifold. The dynamic behavior of these equilibrium has been explained via stability analysis. Finally, we established the presence of bifurcation along with sensitivity analysis. Further, we provide empirical validation for the observed dynamics using numerical simulations to support our theoretical findings. Thus, through this comprehensive approach our research adds to an extensive knowledge of the complex interplay between tumor dynamics, drug therapy, and stability phenomena.

Keywords: Tumor–immune system interaction model; Immunostimulatory and immunosuppressive intermediates; System of nonlinear differential equation; Stability; Bifurcation (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924015236
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:192:y:2025:i:c:s0960077924015236

DOI: 10.1016/j.chaos.2024.115971

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().