Mathematical Model on the Effect of Disinfection and Treatment on the Transmission of Melioidosis

Abstract: Melioidosis is an infectious disease caused by Burkoldera pseudomallei bacteria. In this study, we have developed a Mathematical model on the effects of disinfection and treatment on the transmission of Melioidosis. From analyzing how disinfection and treatment affect different compartments, we have demonstrated that varying the rate of these two control measures will vary the rate of transmission of melioidosis disease. The R₀ was developed and the model stability and the existence of equilibrium points determined. From the quantitative analysis of the study, it was found that the local stability existed when R₀ <1. The D.F.E is also globally stable when R₀ <1. The numerical analysis determined that disinfecting the environment and treating the infected reduces the rate of infection of the disease.

Keywords: Melioidosis, Modelling, disinfection, treatment, stability, transmission, contamination, stability, equilibrium.

Title: Mathematical Model on the Effect of Disinfection and Treatment on the Transmission of Melioidosis

Author: Joseph Ochieng Obuya, Brian Nyanaro Nyasagare, Okumu Argan Wekesa

International Journal of Novel Research in Physics Chemistry & Mathematics

ISSN 2394-9651

Vol. 10, Issue 1, January 2023 - April 2023

Page No: 10-19

Novelty Journals

Website: www.noveltyjournals.com

Published Date: 07-February-2023

DOI: https://doi.org/10.5281/zenodo.7615727

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