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.
|Number of pages||10|
|Journal||World Journal of Modelling and Simulation|
|Publication status||Published - 1 Aug 2010|
- HIV/AIDS model
- Reproductive number
ASJC Scopus subject areas
- Modelling and Simulation