J. Y. T. Mugisha

Learn More
In the paper, we propose a model that tracks the dynamics of malaria in the human host and mosquito vector. Our model incorporates some infected humans that recover from infection and immune humans after loss of immunity to the disease to join the susceptible class again. All the new borne are susceptible to the infection and there is no vertical(More)
An HIV/AIDS model incorporating complacency for the adult population is formulated. Complacency is assumed a function of 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 use of the theorem is also given. Model analysis and(More)
The quality of life for patients infected with human immunodeficiency virus (HIV-1) has been positively impacted by the use of antiretroviral therapy (ART). However, the benefits of ART are usually halted by the emergence of drug resistance. Drug-resistant strains arise from virus mutations, as HIV-1 reverse transcription is prone to errors, with mutations(More)
We present a mathematical model for the transmission of Trypanosoma brucei rhodesiense by tsetse vectors to a multi-host population. To control tsetse and T. b. rhodesiense, a proportion, ψ, of cattle (one of the hosts considered in the model) is taken to be kept on treatment with insecticides. Analytical expressions are obtained for the basic reproduction(More)
In this paper a mathematical model was developed to study the dynamics of visceral leishmaniasis (VL) the in Sudan. To develop this model, the dynamics of the disease between three different populations , human, reservoir and vector populations was considered. The model analysis is done and the equilibrium points are analyzed to establish their stability.(More)
An HIV/AIDS model that incorporates gradual behaviour change is formulated with a variable force of infection for the adult population. The variability is modelled using a general function of time since introduction of the initial infective and exemplified for three specific functions. Expressions for the time taken for the reproductive number to reduce to(More)
Disease and poverty are a major threat to child survival in the developing world, where access to good nutrition, sanitation and health care is poor. In this paper, a mathematical model for malaria and meningitis co-infection among children under five years of age is developed and analysed. We establish the basic reproduction number R mm for the model,(More)
Rapidly spreading infectious diseases are a serious risk to public health. The dynamics and the factors causing outbreaks of these diseases can be better understood using mathematical models, which are fit to data. Here we investigate the dynamics of a Hepatitis E outbreak in the Kitgum region of northern Uganda during 2007 to 2009. First, we use the data(More)
HIV-infected individuals are increasingly becoming susceptible to liver disease and, hence, liver-related mortality is on a rise. The presence of CD4+ in the liver and the presence of C-X-C chemokine receptor type 4 (CXCR4) on human hepatocytes provide a conducive environment for HIV invasion. In this study, a mathematical model is used to analyse the(More)
About 14, 000 years ago, Lake Victoria contained 500 species. Of these original species, 200 have become extinct and 200 are on the endangered species list (DuHamel, 2004). Predation coupled with poor harvesting methods has caused a big economic loss on most Ugandan lakes in particular and the world at large. In this study, we formulate a model based on a(More)