Assessing the potential impact of limited public health resources on the spread and control of typhoid

J. Mushanyu, F. Nyabadza, G. Muchatibaya, P. Mafuta, G. Nhawu

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

Typhoid fever is a systemic infection caused by Salmonella Typhi and occurs predominantly in association with poor sanitation and lack of clean drinking water. Despite recent progress in water and sanitation coverage, the disease remains a substantial public health problem in many developing countries. A mathematical model for the spread of typhoid has been formulated using non linear ordinary differential equations. The model includes a special treatment function to assess the effects of limited treatment resources on the spread of typhoid. It is shown that the model has multiple equilibria and using the center manifold theory, the model exhibits the phenomenon of backward bifurcation whose implications are discussed. The results suggest the need for comprehensive and accessible treatment facilities to curtail typhoid infection.

Original languageEnglish
Pages (from-to)647-670
Number of pages24
JournalJournal of Mathematical Biology
Volume77
Issue number3
DOIs
Publication statusPublished - 1 Sept 2018
Externally publishedYes

Keywords

  • Reproduction number
  • Treatment
  • Treatment function
  • Typhoid

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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