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This study develops a mathematical model to investigate the transmission dynamics of Marburg Virus Disease (MVD), integrating two time-dependent control strategies, primarily focusing on isolating infected individuals. Optimal control strategies are designed using Pontryagin's Maximum Principle to minimize the spread of the infection. The basic reproduction number is calculated to identify the disease-free and endemic equilibrium points. The analysis highlights the effectiveness of interventions such as personal protective measures (e.g., wearing masks, maintaining hand hygiene, and avoiding risky dietary practices) combined with supportive hospital therapy in curbing disease transmission. Model simulations validate the impact of these optimal control strategies, while a cost-effectiveness analysis identifies the most efficient approach for disease management. Additionally, the study examines how individuals with robust immune systems can influence the overall dynamics of Marburg virus transmission.
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Haque et al. (2026) studied this question.
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