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Stability Analysis of a Targeted Chemotherapy-Cancer Delayed Model
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
- 1 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
- 2 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
- 3 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
- 4 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
- 5 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
American Journal of Computational Mathematics·Volume 15 (2025)·Pages 129–150·Published 16 April 2025·DOI10.4236/ajcm.2025.152006
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Abstract
In this paper, we investigate the dynamic behaviour of a mathematical model of cancer that includes immune cells, tumor cells, and normal cells, and explore the effects of the introduction of a delayed term of targeted therapy on the model. This model was first proposed by Anusmita Das et al ., numerous studies have attempted to model the interaction between tumours and the immune system using deterministic delay differential equations (DDEs) so a delay term was added, in this paper, on the basis to make the model more realistic. Also, the local and global stability of the equilibrium point of the model is analyzed by linearization and Lyapunov method, and the numerical simulation of MATLAB is used to verify the analysis results.
KeywordsMathematical Model of CancerDelayStability AnalysisChemotherapyNumerical SimulationDelay Stability Analysis
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