Modelling HIV-TB co-infection dynamics in the presence of immunosenescence and treatment

Joseph Ssebuliba, Farai Nyabadza, Rachid Ouifki

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


An individual's age at infection with HIV-1 influences progression of the diseaseand the immune system's regenerative capacity . Using ordinary differential equations,we firstly consider a simple HIV-1 model describing the immunological changes inthe concentration of the CD4+ T cells, HIV-1 virions, macrophages and the stemcellreservoir. We assess the dynamics of HIV-1 infection and the rapid exhaustionof the T-cell reservoir with respect to immunosenescence. Secondly, we incorporateTuberculosis (TB) infection and highly active anti-retroviral therapy into the simpleHIV-1 model. Numerical simulations are carried out to demonstrate the effects of TBand HIV-1 on the dynamics of the stem cell reservoir. Analysis of early treatment andlate treatment reveals that the former renders a longer survival period than the latter.Evaluation of treatment interruption suggests viral and bacterial rebounds, and a rapiddecline of immune resources, thus shortening the patient's life span.

Original languageEnglish
Title of host publicationA Treatise of Biological Models
PublisherNova Science Publishers, Inc.
Number of pages20
ISBN (Print)9781622573905
Publication statusPublished - Dec 2012
Externally publishedYes


  • Ageing
  • Co-infection
  • HIV-1
  • Immunosenescence
  • Stem cell reservoir
  • Treatment
  • Tuberculosis

ASJC Scopus subject areas

  • General Mathematics


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