6 articles for “J. Y.T. Mugisha”

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Research ArticleOpen accessIn the author namesBalancing Treatment and Prevention: The Case of HIV/AIDSJoseph Y.T. MugishaA mathematical model is formulated to study the effect of treatment of HIV/AIDS patients on the spread of the epidemic in a two-age group’s population. The model assumes the sexual transmission mode. A proportion δ, of the adult HIV/AIDS infects is assumed to be receiving treatment. The analysis of the model shows that treatment that is not accompanied by a … …American Journal of Applied Sciences, Vol. 2, Issue 10 · 31 Oct 2005 · 7,031 accessesView PDF Cite

Research ArticleOpen accessIn the author namesMathematical Model Mathematical Models for the Dynamics of Tuberculosis in Density-dependent Populations: The Case of Internally Displaced Peoples' Camps (IDPCs) in UgandaA. Ssematimba, J. Y.T. Mugisha, L.S. LuboobiMathematical models are formulated to establish the conditions (restrictions) on the size of the area occupied required minimizing and thereafter eradicating tuberculosis. Both numerical and qualitative analyses of the model are done and the effect of variation in the area size and recruitment rate on the different epidemiological groups is investigated. The results of the analysis show that there exists … …Journal of Mathematics and Statistics, Vol. 1, Issue 3 · 30 Sep 2005 · 6,891 accessesView PDF Cite

Research ArticleOpen accessIn the author namesModeling Traffic Flow and Management at Un-signalized, Signalized and Roundabout Road IntersectionsR. Kakooza, L.S. Luboobi, J.Y.T. MugishaTraffic congestion continues to hinder economic and social development and also has a negative impact on the environment. A simple mathematical model is used to analyze the different types of road intersections in terms of their Performance in relation to managing traffic congestion and to establish the condition for stability of the road intersections after sufficiently longer periods of time … …Journal of Mathematics and Statistics, Vol. 1, Issue 3 · 30 Sep 2005 · 6,611 accessesView PDF Cite

Research ArticleOpen accessIn the author namesAn HIV/AIDS Model with Variable Force of Infection and its Application to the Epidemic in UgandaFlugentius Baryarama, Joseph Y.T. Mugisha, Livingstone S. LuboobiAn HIV/AIDS model is formulated with variable force of infection for the adult population. Its actions 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 … …American Journal of Applied Sciences, Vol. 2, Issue 9 · 30 Sep 2005 · 6,964 accessesView PDF Cite

Research ArticleOpen accessIn the author namesA Model for the CD4 Cell Counts in an HIV/AIDS Patient and its Application in Treatment InterventionsRichard O. Simwa, Joseph Y.T. MugishaThe number of CD4 white blood cells has been established as an important clinical marker of disease progression to acquired immunodeficiency syndrome (AIDS) for persons infected with human immunodeficiency virus (HIV). The number of CD4 cells per unit volume is expected to decrease with time since infection by the virus. However on introduction of treatment interventions, the process is expected … …American Journal of Infectious Diseases, Vol. 1, Issue 1 · 31 Mar 2005 · 6,842 accessesView PDF Cite

Research ArticleOpen accessIn the author namesPeriodicity of the HIV/AIDS Epidemic in a Mathematical Model that Incorporates ComplacencyFlugentius Baryarama, Livingstone S. Luboobi, Joseph Y.T. MugishaAn 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 … …American Journal of Infectious Diseases, Vol. 1, Issue 1 · 31 Mar 2005 · 6,631 accessesView PDF Cite