Masters Degrees (Applied Mathematics)
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 ... 
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 ... 
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 ... 
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 ... 
Southern African Large Telescope observations of SunyaevZel'dovich effect selected clusters from the Atacama Cosmology Telescope.
(2014)We present Southern African Large Telescope (SALT) followup observations of seven massive clusters detected by the Atacama Cosmology Telescope (ACT) using the SunyaevZel’dovich effect (SZE). We conducted multiobject ... 
Shearfree models for relativistic fluids with heat flow and pressure isotropy.
(2014)We model the interior dynamics of a relativistic radiating fuid in a nonstatic spher ically symmetric spacetime. The matter distribution takes the form of an imperfect fuid with a nonvanishing radially directed heat ... 
Weak gravitational lensing in the cosmic microwave background : reconstructing the lensing convergence.
(20150105)Many of the most significant constraints on the standard model of Cosmology describing the origins, contents and evolution of the Universe arise from the Cosmic Microwave Background (CMB). As we enter an era of precision ... 
A discrete Fourier transform based on Simpson's rule.
(20150105)Fourier transforms are mathematical operations which play a vital role in the analysis of mathematical models for problems originating from a broad spectrum of elds. In this thesis, we formulate a discrete transform ... 
Matrices of graphs and designs with emphasis on their integral eigenpair balance characteristic.
(20150105)The interplay between graphs and designs is well researched. In this dissertation we connect designs and graphs entirely through their associated matrices – the incidence matrix for designs and the adjacency matrix for ... 
Conformal symmetries and classification in shearfree spherically symmetric spacetimes.
(20150105)In this thesis we study the conformal geometry of static and nonstatic spherically symmetric spacetimes. We analyse the general solution of the conformal Killing vector equation subject to integrability conditions which ... 
Doublediffusive convection flow in a porous medium saturated with a nanofluid.
(2014)In this work, we studied heat and mass transfer in a nanofluid flow over a stretching sheet. Fluid flow in different flow geometries was studied and a coordinate transformation was used to transform the governing equations ... 
Credit derivative valuation and parameter estimation for CIR and Vasicektype models.
(20140918)A credit default swap is a contract that ensures protection against losses occurring due to a default event of an certain entity. It is crucial to know how default should be modelled for valuation or estimating of ... 
Analysis and numerical solutions of fragmentation equation with transport.
(20140512)Fragmentation equations occur naturally in many real world problems, see [ZM85, ZM86, HEL91, CEH91, HGEL96, SLLM00, Ban02, BL03, Ban04, BA06] and references therein. Mathematical study of these equations is mostly ... 
Matrix models of population theory.
(20140512)Nonnegative matrices arise naturally in population models. In this thesis, we first study Perron Frobenius theory of nonnegative irreducible matrices. We use this theory to investigate the asymptotic behaviour ... 
Categorical systems biology : an appreciation of categorical arguments in cellular modelling.
(20140423)With big science projects like the human genome project, [2], and preliminary attempts to seriously study brain activity, e.g. [9], mathematical biology has come of age, employing formalisms and tools from most branches ... 
Identifying and modeling the dynamics of a core cancer subnetwork.
(2011)Many recent studies have shown that the initiation of human cancer is due to the malfunction of some genes at the Rcheckpoint during the G1toS transition of the cell cycle. Identifying and modeling the dynamics of ... 
New classes of exact solutions for charged perfect fluids.
(20140328)We investigate techniques to generate new classes of exact solutions to the Einstein Maxwell field equations which represent the gravitational field of charged perfect fluid spherically symmetric distributions of ... 
Modelling the response of cytotoxic tlymphocytes in controlling solid tumour invasion.
(20131220)We present mathematical models to study the mechanism of interaction of tumour infiltrating cytotoxic lymphocytes (TICLs) with tumour cells. We focus on the phase spaces of the systems and the nature of the solutions for ... 
Impact of exogenous reinfection on TB infection in a genetically susceptible population.
(20131217)In this study we investigated the impact of exogenous reinfection on genetically resistant and genetically sensitive sub populations. We qualitatively analysed the dynamics of TB by assuming that TB is transmitted in two ...