School Mathematics, Statistics and Computer Science
Sub-communities within this community
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Applied Mathematics [74]
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Computer Science [61]
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Pure Mathematics [29]
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Statistics [85]
Recent Submissions
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Statistical methods for handling incomplete longitudinal data with emphasis on discrete outcomes with application.
(2017)In longitudinal studies, measurements are taken repeatedly over time on the same ex- perimental unit. These measurements are thus correlated. The variances in repeated measures change with respect to time. Therefore, the ... -
A study of genetic programming and grammatical evolution for automatic object-oriented programming.
(2016)Manual programming is time consuming and challenging for a complex problem. For efficiency of the manual programming process, human programmers adopt the object-oriented approach to programming. Yet, manual programming is ... -
Modelling of volatility in the South African mining sector : application of ARCH and GARCH models.
(2016)Abstract available in PDF file. -
Bivariate pseudospectral collocation algorithms for nonlinear partial differential equations.
(2016)Abstract available in PDF file. -
Spatio-temporal modelling and mapping of malaria in Angola.
(2017)About half of the world's population is at risk of contracting malaria. The growing number of malaria cases and deaths due to this disease in Africa has become a major challenge to public health care sector. Malaria is ... -
Time-to-event analysis models including frailty effects in understanding infant and child mortality in Lesotho.
(2016)This thesis focuses on the determinants of infant and child mortality in Lesotho. It specifically examines how infant and child mortality is related to environmen- tal, demographic and socio-economic factors. A survival ... -
Relativistic radiating stars with generalised atmospheres.
(2010)In this dissertation we construct radiating models for dense compact stars in relativistic astrophysics. We first utilise the standard Santos (1985) junction condition to model Euclidean stars. By making use of the ... -
A frequentist and a Bayesian approach to estimating HIV prevalence accounting for non-response using population-based survey data.
(2016)Enhanced and novel frequentist and Bayesian approaches to estimating disease measures such as HIV prevalence utilizing the recent advances in statistical computing software are explored and applied making use of ... -
A comparison study of Chebyshev spectral collocation based methods for solving nonlinear second order evolution equations.
(2015)In this study Spectral Quasilinearisation Method (SQLM) coupled with finite differ- ence and Bivariate Spectral Quasilinearisation Method (BSQLM) in solving second order nonlinear evolution partial differential equations ... -
Statistical models to understand factors associated with under-five child mortality in Tanzania.
(2016)The risk or probability of dying between birth and five years of age expressed per 1000 live births is known as Under-five mortality. The well-being of a child reflects household, community and national involvement on ... -
Measuring poverty and child malnutrition with their determinants from household survey data.
(2016)The eradication of poverty and malnutrition is the main objective of most societies and policy makers. But in most cases, developing a perfect or accurate poverty and malnutrition assessment tool to target the poor ... -
Statistical methods to evaluate disease outcome diagnostic accuracy of multiple biomarkers with application to HIV and TB research.
(2015)One challenge in clinical medicine is that of the correct diagnosis of disease. Medical researchers invest considerable time and effort to improving accurate disease diagnosis and following from this diagnostic tests are ... -
Forecasting electricity demand using univariate time series volatility forecasting models : a case study of Uganda and South Africa.
(2016)Different sectors of economies are significantly affected by the supply of electricity. However, with the available limited resources, supply and demand of electricity in Africa are strongly correlated. In order to ... -
Application of mixed model and spatial analysis methods in multi-environmental and agricultural field trials.
(2015)Agricultural experimentation involves selection of experimental materials, selection of experimental units, planning of experiments, and collection of relevant information, analysis and interpretation of the results. An ... -
Wind-wave interactions, density stratification and double diffusive convection in rotating flows.
(2015)Abstract available in PDF file. -
Mathematical modeling of cancer treatments and the role of the immune system response to tumor invasion.
(2015)Despite the success of traditional cancer treatments, a definite cure to several cancers does not exist. Further, the traditional cancer treatments are highly toxic and have a relatively low efficacy. Current research ... -
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, ...
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