Global analysis of an HIV/AIDS epidemic model

Zindoga Mukandavire, Prasenjit Das, Christinah Chiyaka, Farai Nyabadza

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


We present an HIV/AIDS epidemic model that incorporates constant recruitment and sexually active AIDS individuals. The disease-free and endemic equilibria are found and their local as well as global stabilities are investigated. Using a Lyapunov function and LaSalle's invariant set theorem, we proved that the disease-free equilibrium is globally asymptotically stable. Local stability of the endemic equilibrium is determined using the center manifold theory and using the Poincarè-Bendixson property, global asymptotic stability is proved.

Original languageEnglish
Pages (from-to)231-240
Number of pages10
JournalWorld Journal of Modelling and Simulation
Issue number3
Publication statusPublished - Aug 2010
Externally publishedYes


  • Equilibria
  • HIV/AIDS model
  • Reproductive number
  • Stability

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Engineering


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