Abstract

This article presents a novel mathematical model to explore the transmission dynamics of \textit{Mycobacterium ulcerans (MU)} infection, focusing on the waterborne spread. Using SEIR and SEI models for human and water-bug populations, it considers factors such as disease-related deaths and arsenic-contaminated water. The analysis determines the basic reproduction number $(R_0)$, which dictates the stability of disease-free and endemic equilibria. The study underscores the importance of controlling Buruli ulcer transmission, offering valuable insights for global health management.

Keywords and Phrases

Arsenic, Mycobacterium ulcerens, Waterbug, Basic reproduction number, Next generation matrix, Global stability analysis.

A.M.S. subject classification

34A34.

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