Mathematical modeling of tumor-immune dynamics: stability, control, and synchronization via fractional calculus and numerical optimization

Mathematical modeling of tumor-immune dynamics: stability, control, and synchronization via fractional calculus and numerical optimization

Abstract This research introduces two distinct mathematical models to investigate the interactions between the tumor-immune system, both formulated within a random (stochastic) framework. The first model employs fractal-fractional derivatives, specifically the Atangana-Baleanu operator, to analyze t...

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Bibliographic Details
Main Authors: Safoura Rezaei Aderyani, Reza Saadati, Fatemeh Rezaei Aderyani, Osman Tunç
Format: Article
Language:English
Published: Nature Portfolio 2025-08-01
Series:Scientific Reports
Subjects:
Fractional calculus
Tumor-immune modeling
Cancer dynamics
Mathematical oncology
Adams-Bashforth method
Stability analysis
Online Access:https://doi.org/10.1038/s41598-025-13683-z
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https://doi.org/10.1038/s41598-025-13683-z

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