Tuberculosis transmission model with chemoprophylaxis and treatment

C P Bhunu, W Garira, Z Mukandavire, M Zimba

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

A tuberculosis model which incorporates treatment of infectives and chemoprophylaxis is presented. The model assumes that latently infected individuals develop active disease as a result of endogenous re-activation, exogenous re-infection and disease relapse, though a small fraction is assumed to develop active disease soon after infection. We start by formulating and analyzing a TB model without any intervention strategy that we extend to incorporate chemoprophylaxis and treatment of infectives. The epidemic thresholds known as reproduction numbers and equilibria for the models are determined, and stabilities analyzed. The reproduction numbers for the models are compared to assess the possible community benefits achieved by treatment of infectives, chemoprophylaxis and a holistic approach of these intervention strategies. The study shows that treatment of infectives is more effective in the first years of implementation (approximately 10 years) as treatment results in clearing active TB immediately and there after chemoprophylaxis will do better in controlling the number of infectives due to reduced progression to active TB.

Original languageEnglish
Pages (from-to)1163-1191
Number of pages29
JournalBulletin of Mathematical Biology
Volume70
Issue number4
Early online date30 Jan 2008
DOIs
Publication statusPublished - May 2008

Keywords

  • Antitubercular Agents
  • Carrier State
  • Humans
  • Mathematics
  • Models, Biological
  • Recurrence
  • Tuberculosis, Pulmonary
  • Journal Article
  • Research Support, Non-U.S. Gov't

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