Analysis of a Comprehensive Mathematical Model for Leptospirosis Dynamics: An Optimal Control Application

Habtamu Ayalew Engida

Journal of Mathematics, 2025, vol. 2025, 1-25

Abstract: The emergence and re-emergence of infectious diseases present a major challenge to global public health. Leptospirosis is one of the significant public health issues in tropical regions worldwide; nevertheless, insufficient awareness has resulted in the under-reporting of its actual incidence and mortality rates. This study presents a comprehensive mathematical model for leptospirosis to analyze the transmission dynamics of the disease. We further explored the model to assess the effectiveness and cost-effectiveness of different intervention strategies to combat the epidemic. The next-generation matrix approach is applied to derive the basic reproduction number R0 of the formulated model. The model has a disease-free equilibrium, which is globally asymptotically stable when R0

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7338974

DOI: 10.1155/jom/7338974

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