Global dynamics of the model of tumor-immune interaction

DOI10.3934/dcdsb.2022155OpenAlexW4291016449MaRDI QIDQ2099202

Zecen He, Yulin Zhao

Publication date: 23 November 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2022155

zbMATH Keywords

stabilityphase portraitsglobal dynamicsimmune systemtumor

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Cell biology (92C37) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• Metamodeling tumor-immune system interaction, tumor evasion and immunotherapy
• Dynamics of a model of tumor-immune interaction with time delay and noise
• Interactions between the immune system and cancer: A brief review of non-spatial mathematical models
• The ecology and evolutionary biology of cancer: a review of mathematical models of necrosis and tumor cell diversity
• Qualitative theory of planar differential systems
• Mathematical Models of Avascular Tumor Growth
• ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
• Modelling Aspects of Cancer Growth: Insight from Mathematical and Numerical Analysis and Computational Simulation
• Simple ODE models of tumor growth and anti-angiogenic or radiation treatment

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