Now showing items 1-10 of 95
Multi-parameter perturbation analysis of a second grade fluid flow past an oscillating infinite plate.
In this dissertation we consider the two dimensional flow of an incompressible and electrically conducting second grade fluid past a vertical porous plate with constant suction. The flow is permeated by a uniform transverse ...
Population dynamics based on the McKendrick-von Foerster model.
The current state of information concerning the classical model of deterministic, age-dependent population dynamics - the McKendrick von Foerster equation - is overviewed. This model and the related Renewal equation are ...
Some aspects of semirings of functions.
A well known fact of classical analysis is that the Stone- Cech compacti cation of a Tychono space is achieved as the structure space of the commutative unitary ring of real valued continuous functions de ned on it. An ...
Codes of designs and graphs from finite simple groups.
No abstract available.
Using artefacts to support an embodied approach to learning trigonometry : a case study of grade 10 learners.
The purpose of this study was to explore the role of artefacts (manipulatives) in the teaching and learning of trigonometric ratios in grade 10. The study focused on how the use of manipulatives aided learners’ mathematical ...
Mathematical analysis of pre-exposure prophylaxis on HIV infection.
We develop a mathematical model which seeks to assess the impact of HIV Pre-Exposure Prophylaxis (PrEP) on the prevalence and incidence of HIV infection. Mathematical analysis of the model is carried out to establish the ...
Queueing and communication networks governed by generalised Lindley-Loynes equations.
Several decades after A.K. Erlang originated the theory of queues and queueing networks, D.V. Lindley added impetus to the development of this field by determining a recursive relation for waiting times. Part I of this ...
Real options : duopoly dynamics with more than one source of randomness.
The valuation of real options has been of interest for some time. Recently, the model has been revised to include more than one source of randomness, e.g. Paxson and Pinto (2005). In this dissertation, we present a model ...
Semiperfect CFPF rings.
The Wedderburn-Artin Theorem (1927) characterised semisimple Artinian rings as finite direct products of matrix rings over division rings. In attempting to generalise Wedderburn's theorem, the natural starting point will ...
Analysis of co-infection of human immunodeficiency virus with human papillomavirus.
We formulate a deterministic mathematical model for the co-infection of HPV with HIV without treatment. Mathematical techniques were used to analyze the stability of the models in terms of basic reproduction numbers for ...