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|Title: ||Modeling domestic violence and predicting its growth using differential equations: a case study of women and children in Tamale|
|Authors: ||Abdul-Karim Abdul-Razak, Abdul-Karim|
|Issue Date: ||12-Jun-2012|
|Abstract: ||The research work focused on analytic and numerical modeling of Domestic Violence. In the case of the analytic modeling, this thesis discusses a simple continuous model for the spread of Domestic Violence, using Ordinary Differential Equations. A mathematical model is inspired from the spread of Domestic Violence in Tamale Metropolitan in which the interaction of the widespread is likely to be minimized. A modeling technique ASV, similar to the SIR model in Epidemics, is used for formulating the spread of Domestic Violence as a system of Differential Equations. Hence the population of three distinct classes- the Abusive, Susceptible/Unreported Victims, and the Reported Victims, are considered in the model. The system of Differential Equations is analyzed by linearization of nonlinear systems and nondimensionlization, and to predict the behaviour of the spread of the Domestic Violence.
Finally, in the case of the numerical analysis, a general model for the population of Domestic Violence Victims is constructed. The present model shows that the given data is reasonably Logistic. Moreover, this model shows that the population of Domestic Violence Victims is limited. A projected limiting number is given by this model. Some typical mathematical models are introduced such as Exponential model and logistic model. The solutions of those models are analyzed.|
|Description: ||A thesis submitted to the Department of Mathematics, Kwame
Nkrumah University of Science and Technology in partial fulfilment of the requirement for the degree of Master of Science in Industrial Mathematics, June, 2012|
|Appears in Collections:||Distance Learning|
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