Modeling HIV/AIDS and tuberculosis coinfection

C P Bhunu, W Garira, Z Mukandavire

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

An HIV/AIDS and TB coinfection model which considers antiretroviral therapy for the AIDS cases and treatment of all forms of TB, i.e., latent and active forms of TB, is presented. We begin by presenting an HIV/AIDS-TB coinfection model and analyze the TB and HIV/AIDS submodels separately without any intervention strategy. The TB-only model is shown to exhibit backward bifurcation when its corresponding reproduction number is less than unity. On the other hand, the HIV/AIDS-only model has a globally asymptotically stable disease-free equilibrium when its corresponding reproduction number is less than unity. We proceed to analyze the full HIV-TB coinfection model and extend the model to incorporate antiretroviral therapy for the AIDS cases and treatment of active and latent forms of TB. The thresholds and equilibria quantities for the models are determined and stabilities analyzed. From the study we conclude that treatment of AIDS cases results in a significant reductions of numbers of individuals progressing to active TB. Further, treatment of latent and active forms of TB results in delayed onset of the AIDS stage of HIV infection.

Original languageEnglish
Pages (from-to)1745-80
Number of pages36
JournalBulletin of Mathematical Biology
Volume71
Issue number7
Early online date28 May 2009
DOIs
Publication statusPublished - Oct 2009

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Tuberculosis
tuberculosis
acquired immune deficiency syndrome
human immunodeficiency virus
Coinfection
mixed infection
Acquired Immunodeficiency Syndrome
HIV
Modeling
modeling
Reproduction number
Therapy
Model
Reproduction
Backward Bifurcation
HIV Infection
therapeutics
Globally Asymptotically Stable
HIV infections
bifurcation

Keywords

  • AIDS-Related Opportunistic Infections
  • Acquired Immunodeficiency Syndrome
  • Algorithms
  • Anti-Retroviral Agents
  • Antitubercular Agents
  • Basic Reproduction Number
  • Computer Simulation
  • HIV Infections
  • HIV Seropositivity
  • Humans
  • Models, Biological
  • Tuberculosis
  • Journal Article
  • Research Support, N.I.H., Extramural

Cite this

Modeling HIV/AIDS and tuberculosis coinfection. / Bhunu, C P; Garira, W; Mukandavire, Z.

In: Bulletin of Mathematical Biology, Vol. 71, No. 7, 10.2009, p. 1745-80.

Research output: Contribution to journalArticle

Bhunu, C P ; Garira, W ; Mukandavire, Z. / Modeling HIV/AIDS and tuberculosis coinfection. In: Bulletin of Mathematical Biology. 2009 ; Vol. 71, No. 7. pp. 1745-80.
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