@article {IOPORT.05717696,
    author       = {Nyabadza, F. and Sanga, G.G. and Bekele, B.T.},
    title        = {The global dynamics of a HIV/AIDS model in the presence of multiple intervention strategies.},
    year         = {2010},
    journal      = {International Journal of Modern Mathematics},
    volume       = {5},
    number       = {1},
    issn         = {1559-3894},
    pages        = {63-81},
    publisher    = {Dixie W Publishing, Montgomery, AL},
    abstract     = {Summary: HIV/AIDS remains a global health challenge. Prevention programmes are often designed with limited understanding of the size of the various populations that are vulnerable to HIV infections. We present a HIV/AIDS model in the presence of prevention strategies such as condom use, partner reduction and treatment. The model also incorporates screening of asymptomatic cases, treatment before and after the advent of symptoms and progression to AIDS for those under treatment. The model equilibria are determined and the dynamics of the spread of HIV is determined by the reproduction number $R$. If $R<1$, the disease free equilibrium point is both locally and globally asymptotically stable. A unique endemic equilibrium point exists and is globally stable for $R>1$. Finally, numerical simulations are presented to illustrate the effects of increasing condom use and decreasing the number of sexual partners.},
    identifier   = {05717696},
}