Two strain HIV/AIDS model and the effects of superinfection

N. J. Malunguza, S. Dube, J. M. Tchuenche, S. D. Hove-Musekwa, Z. Mukandavire

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

1 Citation (Scopus)


Two retroviruses HIV-1 and HIV-2 are the cause of HIV/AIDS around the world. HIV-1 virus is spread world wide whereas HIV-2 is concentrated to the West African countries. Individuals who engage in HIV predisposing risk behaviour such as truck drivers across nations, commercial sex workers, drug abusers and others can find themselves infected with both types of strains. Dual infection with HIV-1 and HIV-2 can occur in locales where these viruses co-circulate, most commonly in West Africa. This paper presents a deterministic mathematical model to compare the dynamics of HIV/AIDS when there is no superinfection and when there is superinfection. The mathematical features including the epidemic threshold, equilibria and stabilities are determined. It is shown using comprehensive analytic and numerical analysis that in the absence of superinfection, the strain with the highest reproduction number above unity forces the other strain to die off in a process of competitive exclusion. For an enhancement factor greater than unity, superinfection is shown to promote coexistence between strains even if one strain has its reproduction number being less than unity.

Original languageEnglish
Title of host publicationAdvances in Disease Epidemiology
PublisherNova Science Publishers, Inc.
Number of pages24
ISBN (Electronic)978-1-61728-766-4
ISBN (Print)978-1-60741-452-0
Publication statusPublished - 1 Mar 2009
Externally publishedYes


  • Epidemic threshold
  • Equilibria
  • Hiv/aids
  • Invasion reproduction numbers
  • Persistence
  • Stability
  • Superinfection

ASJC Scopus subject areas

  • Medicine(all)


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