J. Y. T. Mugisha

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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)
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)
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)
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)