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|Title: ||Analysis and Modelling of Prevalence of Hepatitis B using Differential Equations: A Case Study of the Tano North District|
|Authors: ||Obiri-Apraku, Lawrence|
|Issue Date: ||10-Oct-2013|
|Abstract: ||An SIR model for hepatitis B with vaccination is formulated. The main goal is to use existing clinical hepatitis B data from the Biostatistics Department of the Tano North Health District Directorate to develop a mathematical model to understand the transmission dynamics in the Tano North District and assist decision makers to formulate the best ideas to prevent, control and eradicate the disease. Analyses are made of the existence and stability of the disease free and endemic equilibrium. It is proven that the disease free equilibrium is locally asymptotically stable if the basic reproductive ratio, R0 < 1 and when R0 > 1 we have the endemic equilibrium.
MATLAB was used for the programming. Appendix contains the Matlab code used in simulating
|Description: ||A Thesis Submitted to the School of Graduate
Studies in Partial Fulfilment of the Requirements for the award of A Master of Science Degree in Industrial Mathematics.
|Appears in Collections:||Distance Learning|
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