Browsing Department of Mathematics by Title
Now showing items 1-20 of 126
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Analysis and implementation of a positivity preserving numerical method for an HIV model
(2007)This thesis deals with analysis and implementation of a positivity preserving numerical method for a vaccination model for the transmission dynamics of two HIVsubtypesnin a given community. The continuous model is analyzed ... -
Analysis and Implementation of a Positivity Preserving Numerical Method for an HIV model
(University of the Western Cape, 2007)This thesis deals with analysis and implementation of a positivity preserving numerical method for a vaccination model for the transmission dynamics of two HIV subtypes in a given community. The continuous model is analyzed ... -
Analysis and implementation of robust numerical methods to solve mathematical models of HIV and Malaria co-infection
(University of the Western Cape, 2011)There is a growing interest in the dynamics of the co-infection of these two diseases. In this thesis, firstly we focus on studying the effect of a distributed delay representing the incubation period for the malaria ... -
Analysis and robust simulation of mathematical models of HIV and Leishmaniasis co-infection
(University of the Western Cape, 2022)The purpose of this thesis is the theoretical and numerical study of epidemiological models of Visceral Leishmaniasis (VL) and human immunode ciency virus (HIV) coinfection. We study these models theoretically and design ... -
Analysis and simulation of nonlinear option pricing problems
(University of Western Cape, 2021)We present the Black-Scholes Merton partial differential equation (BSMPDE) and its analytical solution. We present the Black-Scholes option pricing model and list some limitations of this model. We also present a nonlinear ... -
Analysis and simulation of some ecological models describing weed-water hyacinth dynamics in Lake Tana, Ethiopia
(University of the Western Cape, 2022)The water hyacinth plant is notorious for being the world’s worst aquatic weed. In Ethiopia, it invades lake Tana which is the largest lake in Ethiopia. This is attracting attention of many researchers including mathematical ... -
Analysis of errors in derivatives of trigonometric functions: a case study in an extended curriculum programme
(University of the Western Cape, 2012)The purpose of this study was to explore errors that are displayed by students when learning derivatives of trigonometric functions in an extended curriculum programme. The first aim was to identify errors that are displayed ... -
An analytical model for assessing the knowledge of statistical procedures amongst postgraduate students in a higher educational environment
(University of the Western Cape, 2019)Over the past decades, the use and application of statistical concepts for university students have been a big challenge learned from their previous courses. Aftermath of democracy, South African higher education focused ... -
Automorphism groups of some designs of steiner triple systems and the atomorphism groups of their block intersection graphs
(University of the Western Cape, 2014)A Steiner triple system of order v is a collection of subsets of size three from a set of v-elements such that every pair of the elements of the set is contained in exactly one 3-subset. In this study, we discuss some ... -
The Birch and Swinnerton-Dyer Conjecture for elliptic curves.
(University of the Western Cape, 2014)The aim of this dissertation is to provide an exposition of the Birch and Swinnerton-Dyer Conjecture, considered by many to be one of the most important unsolved problems in modern Mathematics. A review of topics in Algebraic ... -
Block Toeplitz operators with rational symbols and discrete singular systems
(University of the Western Cape, 2001)This thesis concerns block Toeplitz operators (equations). Consider the block Toeplitz operator T = [<I> k-j ]k,j=O' where the <I>k are complex m x m matrices such that 00 (0.1) v=-oo The norm in (0.1) is the usual ... -
Boundedness and pseudocompactness in pointfree topology
(University of Western Cape, 2019)This dissertation is a presentation to generalize boundedness and pseudocompactness in pointfree topology. We rst obtain and introduce a boundedness notion for elements of a frame. This is then further inspiration to ... -
Character tables of some groups of extension type
(University of the Western Cape, 2002)The main aim of this mini-thesis is to give a description of some of the basic methods and techniques that have been developed to calculate the character tables of groups of extension type. We restrict our attention to ... -
Character Tables Of Some Groups of Extension Type
(University of the Western Cape, 2002)The main aim of this mini-thesis is to give a description of some of the basic methods and techniques that have been developed to calculate the character tables of groups of extension type. We restrict our attention to ... -
Character tables of some selected groups of extension type using Fischer-Clifford matrices
(University of the Western Cape, 2015)The aim of this dissertation is to calculate character tables of group extensions. There are several well developed methods for calculating the character tables of some selected group extensions. The method we study in ... -
Codes from uniform subset graphs and cycle products
(University of the Western Cape, 2007)In this thesis only Binary codes are studied. Firstly, the codes overs the field GF(2) by the adjacency matrix of the complement T(n), ofthe triangular graph, are examined. It is shown that the code obtained is the full ... -
Codes Related to and Derived from Hamming Graphs
(University of the Western Cape, 2013)Codes Related to and Derived from Hamming Graphs T.R Muthivhi M.Sc thesis, Department of Mathematics, University of Western Cape For integers n; k 1; and k n; the graph k n has vertices the 2n vectors of Fn2 and ... -
Codes Related to and Derived from Hamming Graphs
(University of the Western Cape, 2013)For integers n, k 2:: 1, and k ~ n, the graph r~has vertices the 2n vectors of lF2 and adjacency defined by two vectors being adjacent if they differ in k coordinate positions. In particular, r~is the classical n-cube, ... -
Codes, graphs and designs from maximal subgroups of alternating groups
(University of the Western Cape, 2018)The main theme of this thesis is the construction of linear codes from adjacency matrices or sub-matrices of adjacency matrices of regular graphs. We first examine the binary codes from the row span of biadjacency ... -
Codes, graphs and designs related to iterated line graphs of complete graphs
(University of the Western Cape, 2011)In this thesis, we describe linear codes over prime fields obtained from incidence designs of iterated line graphs of complete graphs Li(Kn) where i = 1, 2. In the binary case, results are extended to codes from neighbourhood ...
