

Articles
by
Livingstone S. Luboobi 
Total Records (
2 ) for
Livingstone S. Luboobi 





Flugentius Baryarama
,
Joseph Y.T. Mugisha
and
Livingstone S. Luboobi


An HIV/AIDS model is formulated with variable force of infection for the adult population. Its equations are reduced to a prevalence equation that is a nonlogistic equation whose explicit solution is derived. The implications of applying the solution to the evolution of the HIV/AIDS epidemic are discussed with respect to the positive boundedness of the coefficients. Prevalence projections are presented for various initial prevalences and behavior change parameters. The main finding is that in settings with high recruitment rates, the HIV epidemic reaches peak prevalence (and thereafter start declining) when the rate of new infections is still higher than the rate of removal of those infected with HIV. 





Flugentius Baryarama
,
Livingstone S. Luboobi
and
Joseph Y.T. Mugisha


An HIV/AIDS model incorporating complacency for the adult population
is formulated. Complacency is assumed a function of the number of AIDS cases
in a community with an inverse relation. A method to find the equilibrium state
of the model is given by proving a stated theorem. An example to illustrate
the application of the theorem is also given. Model analysis and simulations
show that complacency resulting from dependence of HIV transmission on the number
of AIDS cases in a community leads to damped periodic oscillations in the number
of infective with oscillations more marked at lower rates of progression to
AIDS. The implications of these results to public health with respect to monitoring
the HIV/AIDS epidemic and widespread use of antiretroviral (ARV) drugs is discussed. 





