School Mathematics, Statistics and Computer Science
Sub-communities within this community
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Applied Mathematics [76]
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Computer Science [62]
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Pure Mathematics [31]
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Statistics [88]
Recent Submissions
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Bayesian spatial joint and spatial-temporal disease modeling with application to HIV, HSV-2 and Malaria using case studies from Kenya and Angola respectively.
(2017)In this thesis we develop and extend existing statistical models for spatial disease modeling and apply them to HIV, HSV-2 and malaria data. The availability of geo-referenced data and free software has seen many disease ... -
Flexible statistical modelling in food insecurity risk assessment.
(2015)Food insecurity has remained a persistent problem in Sub-Saharan Africa. Conflict and other protracted crisis have rendered a significant proportion of Africa’s populations to suffer the risk of food insecurity, as their ... -
On the null geometry of quasi generalized CR-submanifolds of indefinite nearly α-Sasakian manifolds.
(2017)Generalized CR (GCR)-lightlike submanifolds of indefinite almost contact manifolds were introduced by K. L. Duggal and B. Sahin, with the assumption that they are tangent to the structure vector field ξ of the almost ... -
A study of evoluntionary perturbative hyper-heuristics for the nurse rostering problem.
(2017)Hyper-heuristics are an emerging field of study for combinatorial optimization. The aim of a hyper-heuristic is to produce good results across a set of problems rather than producing the best results. There has been little ... -
Analysis of multiple control strategies for pre-exposure prophylaxis and post-infection interventions on HIV infection.
(2016)Abstract available in PDF file. -
Prevalence and risk factors associated with malaria infection in children under the age of fourteen years in Kenya.
(2017)Despite various efforts by multilateral agencies and governments to prevent, control and eliminate malaria, it continues to be a major plague with more than 300 million at risk of infection worldwide. In Kenya, it is still ... -
Relativistic thermodynamics of radiating stars.
(2016)In this research, on the topic of relativistic thermodynamics of radiating stars, the following three case studies are investigated: Gravitational collapse in spacially isotropic coordinates { The nature of a ... -
Approximation methods for solutions of some nonlinear problems in Banach spaces.
(2017)Abstract available in PDF file. -
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 ...
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