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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)
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)
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)
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