Global analysis of an HIV/AIDS epidemic model
Z
Mukandavire
;
P
Das
;
C
Chiyaka
;
F
Nyabadza
;
(2010)
Global analysis of an HIV/AIDS epidemic model.
World Journal of Modelling and Simulation, 6 (3).
pp. 231-240.
https://researchonline.lshtm.ac.uk/id/eprint/340405
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. © 2005 World Academic Union.
Item Type | Article |
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Date Deposited | 17 Oct 2012 00:15 |