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Research Article

MODELING BURULI ULCER TRANSMISSION: SEIR-SEI ANALYSIS WITH IMMUNITY LOSS AND ARSENIC CONTAMINATION

S
Smarajit Maji AERU, Indian Statistical Institute, Kolkata - 700108, INDIA
T
Tanmay Chowdhury Mrinalini Datta Mahavidyapith, Birati, Kolkata - 700051, INDIA
J
Joydev Chattopadhyay AERU, Indian Statistical Institute, Kolkata - 700108, INDIA
Volume 21, Issue 1 Pages 165-190 April 30, 2025 172 downloads
Article overview

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

ArsenicMycobacterium ulcerensWaterbugBasic reproduction numberNext generation matrixGlobal stability analysis.

AMS Subject Classification

34A34.

Reference information

How to Cite

Smarajit Maji, Tanmay Chowdhury, Joydev Chattopadhyay (2025). MODELING BURULI ULCER TRANSMISSION: SEIR-SEI ANALYSIS WITH IMMUNITY LOSS AND ARSENIC CONTAMINATION. South East Asian Journal of Mathematics and Mathematical Sciences, 21(1), 165-190.
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