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

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  • Habtamu Ayalew Engida

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

Suggested Citation

  • Habtamu Ayalew Engida, 2025. "Analysis of a Comprehensive Mathematical Model for Leptospirosis Dynamics: An Optimal Control Application," Journal of Mathematics, Hindawi, vol. 2025, pages 1-25, July.
    • Handle: RePEc:hin:jjmath:7338974
    DOI: 10.1155/jom/7338974
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