Browsing Doctoral Degrees (Mathematical Sciences) by Title
Now showing items 23-42 of 62
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Improved models of biological sequence evolution
(Stellenbosch : Stellenbosch University, 2012-12)ENGLISH ABSTRACT: Computational molecular evolution is a field that attempts to characterize how genetic sequences evolve over phylogenetic trees – the branching processes that describe the patterns of genetic inheritance ... -
Integration of multifunctions with respect to a multimeasure
(Stellenbosch : Stellenbosch University, 1999-12)ENGLISH SUMMARY: The main objective of this thesis is to define and investigate the properties of the integral of a multifunction F (where F is from a point set T into a Banach space X) with respect to a multimeasure M ... -
Interpolatory refinable functions, subdivision and wavelets
(Stellenbosch : University of Stellenbosch, 2005-03)Subdivision is an important iterative technique for the efficient generation of curves and surfaces in geometric modelling. The convergence of a subdivision scheme is closely connected to the existence of a corresponding ... -
Limit theorems for integer partitions and their generalisations
(Stellenbosch : Stellenbosch University, 2012-03)ENGLISH ABSTRACT: Various properties of integer partitions are studied in this work, in particular the number of summands, the number of ascents and the multiplicities of parts. We work on random partitions, where all ... -
Mathematical modelling of the effectiveness of two training interventions on infectious diseases in Uganda
(Stellenbosch : Stellenbosch University, 2013-12)ENGLISH ABSTRACT: Nurses, midwives and clinical officers referred to as Mid-level Practioners (MLPs) play an important role in the health care system especially in rural Africa. With particular reference to rural Uganda, ... -
Mathematical Modelling of Tumour-Immune Interactions and Cancer Therapy
(Stellenbosch : Stellenbosch University, 2017-12)ENGLISH ABSTRACT : The immune system plays a key role against the development and progression of tumor cells mainly because of its capability of recognizing and destroying cancerous cells. While incredible research efforts ... -
Mathematical modelling on interaction between malaria parasites and the host immune system
(Stellenbosch : Stellenbosch University, 2012-12)Please refer to full text for abstract. -
A model checker for the LF system
(Stellenbosch : Stellenbosch University, 2007-03)ENGLISH ABSTRACT: Computer aided veri cation techniques, such as model checking, can be used to improve the reliability of software. Model checking is an algorithmic approach to illustrate the correctness of temporal ... -
Modeling the impact of early HIV treatment on the HIV epidemic in South Africa
(Stellenbosch : Stellenbosch University, 2016-03)ENGLISH SUMMARY: Amajor international randomized clinical trial fromStrategic Timing of AntiRetroviral Treatment (START) has found that HIV-infected individuals have a considerably lower risk of developing AIDS if they ... -
Modelling of non-Newtonian fluid flow through and over porous media with the inclusion of boundary effects
(Stellenbosch : Stellenbosch University, 2013-03)ENGLISH ABSTRACT: Different generalized Newtonian fluids (where the normal stresses were neglected) were considered in this study. Analytical expressions were derived for time independent, fully developed velocity profiles ... -
Modelling of the motion of a mixture of particles and a Newtonian fluid
(Stellenbosch : Stellenbosch University, 2012-03)ENGLISH ABSTRACT: See full text for abstract -
Modelling the control of tsetse and African trypanosomiasis through application of insecticides on cattle in Southeastern Uganda
(Stellenbosch : Stellenbosch University, 2013-03)ENGLISH ABSTRACT: In Uganda, cattle are an important reservoir of Trypanosoma brucei rhodesiense, a parasite that causes human African trypanosomiasis or sleeping sickness. We developed mathematical models to examine the ... -
Modelling water-borne infections : the impact of hygiene, metapopulation movements and the biological control of cholera
(Stellenbosch : Stellenbosch University, 2014-12)ENGLISH ABSTRACT: Water-borne infections have been a menace in many countries around the globe, claiming millions of lives. Cholera in particular has spread to all continents and now on its seventh epidemic. Although ... -
Neighbourhood operators on Categories
(Stellenbosch : Stellenbosch University, 2013-03)ENGLISH ABSTRACT: While the notions of open and closed subsets in a topological space are dual to each other, they take on another meaning when points and complements are no longer available. Closure operators have ... -
Off-line signature verification
(Stellenbosch : University of Stellenbosch, 2005-03)A great deal of work has been done in the area of off-line signature verification over the past two decades. Off-line systems are of interest in scenarios where only hard copies of signatures are available, especially ... -
On the analysis of refinable functions with respect to mask factorisation, regularity and corresponding subdivision convergence
(Stellenbosch : University of Stellenbosch, 2007-12)We study refinable functions where the dilation factor is not always assumed to be 2. In our investigation, the role of convolutions and refinable step functions is emphasized as a framework for understanding various ... -
On the coefficients of Drinfeld modular forms of higher rank
(Stellenbosch : Stellenbosch University, 2014-04)ENGLISH ABSTRACT: Rank 2 Drinfeld modular forms have been studied for more than 30 years, and while it is known that a higher rank theory could be possible, higher rank Drinfeld modular forms have only recently been de ... -
On the computation of freely generated modular lattices
(Stellenbosch : Stellenbosch University, 2008-12)Please refer to full text for abstract. -
On the constant reductions of valued function fields and their automorphism groups
(Stellenbosch : Stellenbosch University, 2015-11-20)ENGLISH ABSTRACT : The aim of the project is to investigate properties of the automorphism group of a function field in one variable over an algebraically closed field in relation to its reductions with respect to special ... -
On the inducibility of rooted trees
(Stellenbosch : Stellenbosch University, 2018-12)ENGLISH ABSTRACT : The density of appearances of a fixed tree in a larger tree is examined for rooted trees without vertices of outdegree 1 (also known as topological trees). Given a topological tree S with k leaves and ...
