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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/8799

Title: Deterministic SIR Model of Hepatitis B Virus Infection and the Impact of Vaccination (The Case of Sunyani Municipality)
Authors: Botwe-Boafo, William Kofi
Issue Date: 15-Apr-2016
Abstract: Deterministic SIR Models with essential factors such as Susceptible, Infective and Removal was formulated. This is to understand the Mechanisms of Hepatitis B Virus Infections in the Sunyani Municipality. Deterministic SIR Model without and with Demographic turn-over were respectively used to understand HBV Epidemic and Endemic situation of the population. An SIR Vaccination Model was included to assess the impart of Vaccination. In the first Model, the Reproductive Number was estimated as R0 = 1:957 > 1 which shows epidemic population. The Model indicated that, modeling with 10 susceptible with an infective, about 90% of the population would be infected during the period of epidemic. The Reproductive Number for the second Model was estimated as R0 = 1:022 which shows an endemic population. This Model has two equilibrium states; the disease-free equilibrium state and the endemic equilibrium state. The two equilibrium states were found to be Asymptotically Stable. The Vaccination Model shows a decrease in the Infective whiles the group to which Vaccination was given increased. The Reproductive Number (R ) was estimated as R = 0:511<1.The study shows that Infectious Rate and Reproductive Number play important roles in prevalence of disease in the population. Our findings show that an increase in Infectious rate produces R0 > 1 whiles a decrease in Infectious rate produces R0 < 1. Per the data from Sunyani Municipal Hospital, an Infectious rate of at most 1% and Vaccination rate of at least 60% can curb the situation and eventually eradicate HBV Infection in the Municipality. This thesis was written using LaTex Platform whiles MATLAB Code was used for the programming.
Description: A thesis submitted to the Department of Mathematics,Kwame Nkrumah University of Science and Technology in partial fulfillment of the requirement for the Degree of Master of Science in Industrial Mathematics, 2015
URI: http://hdl.handle.net/123456789/8799
Appears in Collections:College of Science

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