Bachelor of Science with Education

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A mathematical model for malaria a case study some selected health centers in Jinja District of Uganda
(Kampala International University ,College of Education, 2018-10) Wakainja, Abunel
In this research work, a deterministic mathematical mode for malaria transmission was developed and analyzed. The model consists of seven ordinary differential equations with two sub-populations. The human subpopulation consists of the susceptible, exposed, infected human compartments while the mosquito sub-population consists of the susceptible, exposed and infected mosquito compartments. The disease free and endemic equilibrium were obtained and analyzed for stability. Further, the basic reproductive number of the model was obtained.
A mathematical model for typhoid transmission dynamics in Kween District of Uganda.
(Kampala International University ,College of Education, 2018-10) Twoyem, Stephen
In this study, we have formulated a mathematical model based on a system of ordinary differential equations to study the dynamics of typhoid fever disease incorporating protection against infection. The existences of the steady states of the model are determined and the basic reproduction number is computed using the next generation matrix approach. Stability analysis of the model is carried out to determine the conditions that favours the spread of the disease in a given population.