Global analysis of an HIV/AIDS epidemic model

Zindoga Mukandavire, Prasenjit Das, Christinah Chiyaka, Farai Nyabadza

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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
Volume6
Issue number3
Publication statusPublished - 1 Aug 2010
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering(all)

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