Modelling cholera transmission dynamics in the presence of limited resources

Farai Nyabadza, Jennifer Mawunyo Aduamah, Josiah Mushanyu

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


Objectives: We study the transmission dynamics of cholera in the presence of limited resources, a common feature of the developing world. The model is used to gain insight into the impact of available resources of the health care system on the spread and control of the disease. A deterministic model that includes a nonlinear recovery rate is formulated and rigorously analyzed. Limited treatment is described by inclusion of a special treatment function. Center manifold theory is used to show that the model exhibits the phenomenon of backward bifurcation. Matlab has been used to carry out numerical simulations to support theoretical findings. Results: The model analysis shows that the disease free steady state is locally stable when the threshold $${\mathcal {R}}-{0} < 1$$ R 0 < 1. It is also shown that the model has multiple equilibria and the model exhibits the phenomenon of backward bifurcation whose implications to cholera infection are discussed. The results are useful for the public health planning in resource allocation for the control of cholera transmission.

Original languageEnglish
Article number475
JournalBMC Research Notes
Issue number1
Publication statusPublished - 1 Aug 2019


  • Backward bifurcation
  • Basic reproduction number
  • Cholera
  • Hospital bed
  • Nonlinear recovery rate

ASJC Scopus subject areas

  • General Biochemistry,Genetics and Molecular Biology


Dive into the research topics of 'Modelling cholera transmission dynamics in the presence of limited resources'. Together they form a unique fingerprint.

Cite this