School Mathematics, Statistics and Computer Science
Subcommunities within this community

Applied Mathematics [69]

Computer Science [60]

Pure Mathematics [29]

Statistics [75]
Recent Submissions

Using spectral methods on HIV infection with TAT and SSU72 activation.
(2016)HIV dynamics within the host are complex especially when a reservoir of latently infected CD4+ T cells are present. The failure of the immune system and antiviral therapy to suppress the virus has been suggested to be ... 
Modelling volatility in stock exchange data : a case study of three Johannesburg Stock Exchange (JSE) companies.
(2015)For investors and policy makers such as governments, the uncertainty of returns on investments is a major problem. The aim of this paper is to study volatility models for financial data for both univariate and multivariate ... 
Data classification using genetic programming.
(2015)Genetic programming (GP), a field of artificial intelligence, is an evolutionary algorithm which evolves a population of trees which represent programs. These programs are used to solve problems. This dissertation ... 
Using epidemiological mathematical models to understand the transmission dynamics of bovine tuberculosis in buffalo and cattle populations.
(2015)In South Africa, buffalo are the maintenance hosts of Mycobacterium bovis (M. bovis), a pathogen that causes bovine tuberculosis in wildlife and domesticated animals. To understand the transmission dynamics of M. bovis, ... 
Numerical study of convective fluid flow in porous and nonporous media.
(2015)Abstract available in PDF file. 
Mathematical modeling of R5 and X4 HIV : from within host dynamics to the epidemiology of HIV infection.
Most existing models have considered the immunological processes occurring within the host and the epidemiological processes occurring at population level as decoupled systems. We present a new model using continuous ... 
Statistical distributions and modelling of GPSTelemetry elephant movement data including the effect of covariates.
In this thesis, I investigate the application of various statistical methods towards analysing GPS tracking data collected using GPS collars placed on large mammals in Kruger National Park, South Africa. Animal movement ... 
Nonclassical solutions of hyperbolic conservation laws.
This dissertation studies the nonclassical shock waves which appears as limits of certain type diffusivedispersive regularisation to hyperbolic of conservation laws. Such shocks occur very often when the ux function ... 
Educational managers' understanding and experiences of the implementation of inclusive education : evidence from selected urban primary schools in Zimbabwe.
This study focused on the school heads‟ understanding and experiences of the implementation of Inclusive Education in selected urban primary schools in Zimbabwe. The apparent absence of a tentative policy statement that ... 
A review of methods for modelling both Gaussian and NonGaussian longitudinal data with application.
The study of longitudinal data plays an integral role in medicine, epidemiology, social science, biomedical and health sciences research where repeated measurements are obtained over time for each individual. Generally, ... 
New realistic solutions for charged matter with an equation of state.
The purpose of this thesis is to provide new exact solutions to the EinsteinMaxwell system which are physically reasonable. We assume that the spacetime is static and spherically symmetric with a charged anisotropic ... 
Improved roachbased algorithms for global optimization problems.
(2014)Optimization of systems plays an important role in various fields including mathematics, economics, engineering and life sciences. A lot of real world optimization problems exist across field of endeavours such as ... 
On singularly perturbed problems and exchange of stabilities.
(2015)Singular perturbation theory has been used for about a century to describe models displaying different timescales, that arise in applied sciences; particularly, models displaying two timescales, namely slow time and fast ... 
Specifying a forest harvest scheduling system which includes wood properties.
(2009)This dissertation aims to specify a forest harvest scheduling system which includes wood properties in the harvesting decisions for the longterm (strategic) planning horizon. This system will be used by plantation ... 
Settlement type classification using aerial images.
(2014)In metropolitan and urban areas, the problems relating to rapid transformations that are taking place in terms of land cover and land use are now very pronounced, e.g., the rapid increase and unpredictable spread of ... 
New models for quark stars with charge and anisotropy.
(2014)We find new classes of exact solutions for the EinsteinMaxwell field equations. The solutions are obtained by considering charged anisotropic matter with a linear equation of state consistent with quark stars. The field ... 
Formalisms for agents reasoning with stochastic actions and perceptions.
(20150910)The thesis reports on the development of a sequence of logics (formal languages based on mathematical logic) to deal with a class of uncertainty that agents may encounter. More accurately, the logics are meant to be used ... 
On the physical viability of horizonfree collapse.
(20150904)The socalled Cosmic Censorship Conjecture has drawn widespread attention amongst astrophysicists and particle physicists. In particular, the endstate of gravitational collapse of a bounded matter distribution is a ... 
Thermal evolution of radiation spheres undergoing dissipative gravitational collapse.
(20150904)In this study we investigate the physics of a relativistic radiating star undergoing dissipative collapse in the form of a radial heat flux. Our treatment clearly demonstrates how the presence of shear affects the collapse ... 
The application of classification techniques in modelling credit risk.
(20150904)The aim of this dissertation is to examine the use of classification techniques to model credit risk through a practice known as credit scoring. In particular, the focus is on one parametric class of classification techniques ...