A MATHEMATICAL MODELING AND GLOBAL STABILITY ANALYSIS OF AN INTEGRATED CONTROL MEASURES FOR DIPHTHERIA DISEASES, INCORPORATING IMMUNIZATION, SURVEILLLANCE, PROMPT CASE MANAGEMENT STRATEGIES
DOI:
https://doi.org/10.33003/fjs-2026-1009-5017Keywords:
Diphtheria, Surveillance, Basic Reproduction Number, Prompt Care Management, Global StabilityAbstract
This study develops and analyzes a mathematical model for diphtheria transmission dynamics incorporating immunization, surveillance, and prompt case management as control measures. Analytical results include the disease-free and endemic equilibria, the basic reproduction number , global stability using Lyapunov function and a sensitivity analysis showing that transmission rate, immunization coverage, surveillance and prompt case management effort have the greatest influence on disease spread. Numerical simulations using Matlab2024a demonstrate that combined interventions have drastically reduced both carriers and infected individuals, achieving Diphtheria elimination within 100 days. These results provide quantitative guidance for public health strategies, emphasizing the importance of immunization, surveillance and the prompt care management control measures for proper control of diphtheria.
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