Mathematical modeling and optimal control strategies of the typhoid transmission with cost-effectiveness analysis
نویسندگان
1 Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, El-Jadida, MOROCCO.
2 Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, El-Jadida, MOROCCO.
3 Department of Mathematics and Computer Science, Hassan II University, Casablanca, MOROCCO.
4 Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, El-Jadida, MOROCCO.
doi
10.22067/ijnao.2025.94317.1676چکیده
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.
