Optimal control and global stability of the stomach cancer treatment model in the presence of obesity and psychological scare‎

Authors

  • Muhammad Faleh yoness Al-Aboud University of Tabriz
  • Hossein Kheiri University of Tabriz
  • Gholamreza Hojjati University of Tabriz
  • Shireen Jawad University of Baghdad

DOI:

https://doi.org/10.30495/jme.v19i0.3229

Keywords:

Stomach cancer, Optimal control, Ordinary differential equation, Dynamic systems, Stability.

Abstract

‎In recent years‎, ‎there has been a growing interest in developing mathematical models that can better inform treatment strategies for complex health conditions‎. ‎In this work‎, ‎we propose a novel model that integrates three critical elements‎: ‎the rate of externally administered anti-tumor immune therapy‎, ‎the time-dependent control of ACI treatment‎, ‎and nutritional diet management‎.

‎Our study aims to investigate the dynamical behavior of the proposed model‎, ‎focusing on the stability of treatment outcomes‎. ‎By employing a Lyapunov function‎, ‎we derive the necessary and sufficient conditions for global stability‎, ‎ensuring that our model can reliably predict long-term treatment effects‎. ‎Furthermore‎, ‎we address the optimization of treatment regimens by formulating an optimal control problem‎, ‎allowing us to identify the most effective strategies for reducing cancer cell populations‎.

‎To validate our theoretical findings‎, ‎we conduct numerical simulations that explore various treatment strategies within the framework of our model‎. ‎The results of these simulations provide critical insights into how different approaches can be tailored to improve treatment efficacy for patients suffering from stomach cancer‎, ‎particularly those facing the dual challenges of obesity and psychological distress‎.

Author Biographies

Muhammad Faleh yoness Al-Aboud, University of Tabriz

muhammedfaleh4444@gmail.com

Shireen Jawad, University of Baghdad

 

 

Additional Files

Published

2025-07-28

Issue

Vol. 19

Section

Vol. 19, No. 3, (2025)

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