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Articles by Flugentius Baryarama
Total Records ( 2 ) for Flugentius Baryarama
  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 non-logistic 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.
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