Mathematical modeling of tumor–immune interactions provides valuable insights into the nonlinear dynamics that govern tumor progression and response to treatment. In this study, a deterministic model of the tumor–immune system under chemotherapy is investigated with a focus on spectral entropy and basin of attraction analyses. Spectral entropy is applied to quantify the temporal complexity of system dynamics and to detect transitions between qualitatively distinct behavioral regimes, such as steady states, oscillatory patterns, and potentially chaotic trajectories. Basin of attraction analysis investigates how variations in the initial populations of tumor and immune cells determine the long-term behavior of the system, including tumor elimination, persistent oscillations, or uncontrolled tumor growth. By combining spectral entropy with basin mapping, the framework captures both the temporal irregularity and the sensitivity to initial conditions inherent in tumor–immune dynamics, which may help guide the design and timing of more effective therapeutic interventions.
Basins of attraction Dynamical systems Entropy measures Spectral analysis Tumor-immune interactions
Primary Language | English |
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Subjects | Applied Mathematics (Other) |
Journal Section | Articles |
Authors | |
Early Pub Date | June 25, 2025 |
Publication Date | June 28, 2025 |
Submission Date | April 21, 2025 |
Acceptance Date | June 24, 2025 |
Published in Issue | Year 2025 Volume: 8 Issue: 2 |
Journal of Mathematical Sciences and Modelling
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