A theoretical model for the transmission dynamics of the Buruli ulcer with saturated treatment

Ebenezer Bonyah, Isaac Dontwi, Farai Nyabadza

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


The management of the Buruli ulcer (BU) in Africa is often accompanied by limited resources, delays in treatment, and macilent capacity in medical facilities. These challenges limit the number of infected individuals that access medical facilities. While most of the mathematical models with treatment assume a treatment function proportional to the number of infected individuals, in settings with such limitations, this assumptionmay not be valid. To capture these challenges, a mathematical model of the Buruli ulcer with a saturated treatment function is developed and studied. The model is a coupled system of two submodels for the human population and the environment. We examine the stability of the submodels and carry out numerical simulations. The model analysis is carried out in terms of the reproduction number of the submodel of environmental dynamics. The dynamics of the human population submodel, are found to occur at the steady states of the submodel of environmental dynamics. Sensitivity analysis is carried out on the model parameters and it is observed that the BU epidemic is driven by the dynamics of the environment. The model suggests that more effort should be focused on environmental management. The paper is concluded by discussing the public implications of the results.

Original languageEnglish
Article number576039
JournalComputational and Mathematical Methods in Medicine
Publication statusPublished - 2014
Externally publishedYes

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Biochemistry,Genetics and Molecular Biology
  • General Immunology and Microbiology
  • Applied Mathematics


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