Abstract
The study of PSITPS mathematical model is developed to analyze cancer dynamics, focusing on post-therapy protection. The model’s solution is rigorously examined for boundedness and positivity of solutions. Equilibrium points are identified, and numerical methods are employed to study stability. Simulations using accurate cancer data demonstrate the effectiveness of post-treatment protection in controlling cancer spread and minimizing recurrence. Stability analysis confirms the model’s predictive capability, offering valuable insights into long-term patient outcomes. The results highlight the importance of continuous post-treatment care in improving survival rates and reducing disease prevalence. This study provides a framework for optimizing cancer treatment strategies by integrating mathematical modeling with empirical data.
Recommended Citation
Swetha, Rajendran; Gunasekar, Tharmalingam; Kumar, Kamalendra; and Sakthivel, Krishnasamy
(2025).
(SI15-107) Mathematical Modeling of Cancer Dynamics Stability Analysis of Post Therapy Protection,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
4, Article 10.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss4/10