An epidemiological model of Malaria transmission in Ghana

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The study of the transmission dynamics and control of malaria (an epidemiological model) in Ghana is done using di erential equations. Using tools and conditions under which an epidemiological model is stable, this study determines the control measures that best decides how malaria can be eradicated from Ghana. Sensitivity analysis is also employed to nd which model parameters are highly responsive to the basic reproduction number (R0). From the results of the sensitivity analysis, the model is modi ed to assess the impact of four control measures; the use of treated bednets to minimize mosquito human contacts, the use of insecticide spray to control the mosquito population, the treatment control to the infected human and the intermittent treatment control to pregnant women. Numerical simulations using MATLAB is done to determine the e ectiveness of all possible combinations of malaria control measures. The results contribute to e ective ways of controlling the spread of malaria in Ghana.
A thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology in partial fulfilment of the requirements for the award of the degree of M.Phil Applied Mathematics, 2014