Mathematical modeling and Hopf bifurcation analysis of tumor macrophage interaction with polarization delay

Macrophages have both anti-tumor and pro-tumor effects. Time delay is commonly observed in real systems, yet its impact on tumor-macrophage dynamics remains unclear. This paper develops a new tumor-macrophage model with time delay. The model describes the interactions between tumor cells (T), the cl...

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Bibliographic Details
Main Authors: Jianping Li, Nan Liu, Danni Wang, Hongli Yang
Format: Article
Language:English
Published: Taylor & Francis Group 2025-12-01
Series:Journal of Biological Dynamics
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/17513758.2025.2508240
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