Mathematical modeling and optimal control strategies of the typhoid transmission with cost-effectiveness analysis

Iranian Journal of Numerical Analysis and Optimization

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 10 مهر 1404

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2025.94317.1676

نویسندگان

OUBOUSKOUR Khadija^{* 1}؛ Sofiane KHASSAL¹؛ Bouchaib KHAJJI²؛ Omar BALATIF¹

¹Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, El-Jadida, MOROCCO.

²Department of Mathematics and Computer Science, Hassan II University, Casablanca, MOROCCO.

چکیده

This paper presents the development of a sophisticated mathematical model aimed at optimizing the control of typhoid fever in Taiwan. The model incorporates key factors influencing transmission dynamics, including human interactions, exposure to contaminated sources, and the effectiveness of preventive measures. It is analyzed using optimal control theory and rigorous numerical simulations, allowing for a comprehensive assessment of various intervention strategies. The findings highlight that a combination of targeted sanitation measures and educational awareness campaigns constitutes the most effective approach to reducing disease spread. This work underscores the critical role of mathematical modeling as a decision-support tool for public health planning, providing data-driven insights to guide the prevention and control of typhoid fever.

کلیدواژه‌ها

Optimal control؛ Pontryagin’s maximum principle؛ Typhoid fever؛ Hamiltonian؛ Cost-effectiveness