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Commun. Math. Biol. Neurosci. 2020 (2020), Article ID 3

Mathematical model for brucellosis transmission dynamics in livestock and human populations

Nkuba Nyerere, Livingstone S. Luboobi, Saul C. Mpeshe, Gabriel M. Shirima

Abstract

Brucellosis is a contagious zoonotic infection caused by bacteria of genus brucella which affects humans and animals. The disease is of veterinary importance, public health concern and economic significance in both developed and developing countries. It is transmitted through direct or indirect contact with infected animals or their contaminated products. In this paper we formulate and analyze a deterministic mathematical model for the transmission dynamics of brucellosis. The model formulated incorporates contaminated environment to human, infected livestock to human, and human to human modes of transmission. The impacts of human treatment in controlling the spread of brucellosis in the human population is investigated. Both analytical and numerical solutions reveal that prolonged human treatment has a significant impact in reducing the spread of Brucellosis in human population only while elimination of the disease in domestic ruminants has promising results to both human and ruminants. Thus, brucellosis control strategies should always focus on elimination of the disease in domestic ruminants.

Published
29 January 2020
Volume
2020 (2020)
License
CC BY 3.0

Copyright © 2020 Nkuba Nyerere, Livingstone S. Luboobi, Saul C. Mpeshe, Gabriel M. Shirima. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

N. Nyerere, L. S. Luboobi, S. C. Mpeshe, G. M. Shirima, Mathematical model for brucellosis transmission dynamics in livestock and human populations, Commun. Math. Biol. Neurosci. 2020 (2020), 3. https://doi.org/10.28919/cmbn/4346

BibTeX
@article{Nyerere2020,
  author  = {Nyerere, Nkuba and Luboobi, Livingstone S. and Mpeshe, Saul C. and Shirima, Gabriel M.},
  title   = {Mathematical model for brucellosis transmission dynamics in livestock and human populations},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2020},
  year    = {2020},
  pages   = {3},
  doi     = {10.28919/cmbn/4346}
}