ON THE GLOBAL DYNAMICS OF THE OWEN–SHERRATT MODEL DESCRIBING THE TUMOR–MACROPHAGE INTERACTIONS

DOI10.1142/S021812741350020XzbMath1270.34137MaRDI QIDQ2845142

Konstantin E. Starkov, Alexander Yu. Pogromsky

Publication date: 22 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

omega-limit setglobal dynamicstumor growth modelcompact invariant set

Mathematics Subject Classification ID

Cell biology (92C37) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

• On the global dynamics of a model for tumor immunotherapy
• Modeling immunotherapy of the tumor -- immune interaction
• The dynamics of an optimally controlled tumor model: A case study
• A mathematical model of cancer treatment by immunotherapy
• Localization of compact invariant sets of the Lorenz system
• Interactions between the immune system and cancer: A brief review of non-spatial mathematical models
• MATHEMATICAL MODELLING OF MACROPHAGE DYNAMICS IN TUMOURS
• CHAOS IN A THREE-DIMENSIONAL CANCER MODEL

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