Modelling and analysis of the effects of malnutrition in the spread of cholera

Senelani D. Hove-Musekwa, Farai Nyabadza, Christinah Chiyaka, Prasenjit Das, Agraj Tripathi, Zindoga Mukandavire

Research output: Contribution to journalArticlepeer-review

53 Citations (Scopus)


Although cholera has existed for ages, it has continued to plague many parts of the world. In this study, a deterministic model for cholera in a community is presented and rigorously analysed in order to determine the effects of malnutrition in the spread of the disease. The important mathematical features of the cholera model are thoroughly investigated. The epidemic threshold known as the basic reproductive number and equilibria for the model are determined, and stabilities are investigated. The disease-free equilibrium is shown to be globally asymptotically stable. Local stability of the endemic equilibrium is determined using centre manifold theory and conditions for its global stability are derived using a suitable Lyapunov function. Numerical simulations suggest that an increase in susceptibility to cholera due to malnutrition results in an increase in the number of cholera infected individuals in a community. The results suggest that nutritional issues should be addressed in impoverished communities affected by cholera in order to reduce the burden of the disease.

Original languageEnglish
Pages (from-to)1583-1595
Number of pages13
JournalMathematical and Computer Modelling
Issue number9-10
Publication statusPublished - May 2011
Externally publishedYes


  • Cholera model
  • Equilibria
  • Malnutrition
  • Reproduction number
  • Stability
  • Susceptibility

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications


Dive into the research topics of 'Modelling and analysis of the effects of malnutrition in the spread of cholera'. Together they form a unique fingerprint.

Cite this