Mathematical Model Dynamics of Drug-Resistant Tuberculosis and Its Optimal Control Analysis

Mohammed Hasen Galete, Mohammed Yiha Dawed and Legesse Lemecha Obsu

Journal of Applied Mathematics, 2025, vol. 2025, 1-22

Abstract: This study presents a mathematical model to understand and control the spread of drug-resistant tuberculosis (DR-TB). A system of nonlinear ordinary differential equations is developed to represent the transmission dynamics, incorporating prevention and treatment strategies. Well-posedness, positivity, and boundedness of solution of the model are explained. The basic reproduction number is derived, and stability analysis of fixed point reveals that the disease-free equilibrium is globally asymptotically stable when R0

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:4101918

DOI: 10.1155/jama/4101918

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