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Section

Mathematics and Computational Sciences

Abstract

A comprehensive mathematical evaluation of cholera dynamics, emphasizing the crucial role of optimal control strategies which include vaccination, treatment in endemic region and environmental hygiene in controlling the disease spread in Western and Mid-Eastern regions of African setting. Through analysis of the local and global stability of the model and assessing the reproduction number (𝑅0), this research highlights how targeted interventions can influence transmission rates of cholera disease. Sensitivity analysis identifies key parameters driving cholera dynamics, underlining the urgency of timely and adequate intervention. Utilizing the innovative Homotopy Perturbation Method for the numerical simulation, the study explores the interplay between vaccination, treatment regimens and environmental sanitation to cease reinfection risks. The results revealed the transformative impact of combining optimal control strategies of vaccination, environmental sanitation with treatment to reduce (𝑅0) which provides an insight for health authorities, governmental and non-governmental organizations to develop localized and effective containment mechanism.

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