Search
Now showing items 31-40 of 90
Construction and analysis of efficient numerical methods to solve mathematical models of TB and HIV co-infection
(University of the Western Cape, 2011)
The global impact of the converging dual epidemics of tuberculosis (TB) and human immunodeficiency virus (HIV) is one of the major public health challenges of our time, because in many countries, human immunodeficiency ...
Numerical Treatment of Non-Linear singular pertubation problems
(University of the Western Cape, 2007)
This thesis deals with the design and implementation of some novel numerical methods for non-linear singular pertubations problems (NSPPs). It provide a survey of asymptotic and numerical methods for some NSPPs in the past ...
The non-cancellation groups of certain groups which are split extensions of a finite abelian group by a finite rank free abelian group
(University of the Western Cape, 2008)
The groups we consider in this study belong to the class X0 of all nitely generated groups with nite commutator subgroups. We shall eventually narrow down to the groups of the form T owZn for some n 2 N and some nite ...
Strong simplicity of groups and vertex - transitive graphs
(University of the Western Cape, 2010)
In the course of exploring various symmetries of vertex-transitive graphs, we introduce the concept of quasi-normal subgroups in groups. This is done since the symmetries of vertex-transitive graphs are intimately linked ...
Groupoids of homogeneous factorisations of graphs
(University of the Western Cape, 2009)
This thesis is a study on the confluence of algebraic structures and graph theory. Its aim is to consider groupoids from factorisations of complete graphs. We are especially interested in the cases where the factors are ...
Robust computational methods for two-parameter singular perturbation problems
(University of the Western Cape, 2010)
This thesis is concerned with singularly perturbed two-parameter problems. We study a tted nite difference method as applied on two different meshes namely a piecewise mesh (of Shishkin type) and a graded mesh (of Bakhvalov ...
Pricing American style employee stock options having GARCH effects
(University of the Western Cape, 2010)
We investigate some simulation-based approaches for the valuing of the employee stock options. The mathematical models that deal with valuation of such options include the work of Jennergren and Naeslund [L.P Jennergren ...
Analysis and implementation of a positivity preserving numerical method for an HIV model
(2007)
This thesis deals with analysis and implementation of a positivity preserving numerical method for a vaccination model for the transmission dynamics of two HIVsubtypesnin a given community. The continuous model is analyzed ...
Mathematical modeling of an epidemic under vaccination in two interacting populations
(University of the Western Cape, 2011)
In this dissertation we present the quantitative response of an epidemic of the so-called SIR-type, in a population consisting of a local component and a migrant component. Each component can be divided into three classes, ...
Pairings of Binary reflexive relational structures
(University of the Western Cape, 2008)
The main purpose of this thesis is to study the interplay between relational structures and topology , and to portray pairings in terms of some finite poset models and order preserving maps. We show the interrelations ...