Recent Submissions

  • The paradox of enrichment in predator-prey systems 

    Sogoni, Msimelelo (University of Western Cape, 2020)
    In principle, an enrichment of resources in predator-prey systems show prompts destabilisation of a framework, accordingly, falling trophic communication, a phenomenon known to as the \Paradox of Enrichment" [54]. After ...
  • Ultrafilters and Compactification 

    Nxumalo, Mbekezeli Sibahle (UWC, 2020)
    In this thesis, we construct the ultrafilter space of a topological space using ultrafilters as points, study some of its properties and describe a method of generating compactifications through the ultrafilter space. As ...
  • Design, analysis and simulation of a robust numerical method to solve Zika virus models 

    Fundzama, Bafana Mthobisi (University of the Western Cape, 2019)
    This thesis deals with the analysis and robust simulation of mathematical models describing Zika virus disease. Some background information about the occurrences of this disease and most recent literature indicating some ...
  • Valuation of options for hedging against exchange rate exposure 

    Don, Marlon Junaide (University of the Western Cape, 2019)
    The risk associated with currency exposure is one of the main sources of risk in terms of internationally diversi ed portfolios. Controlling the risk is important for improving the performance of international investments. ...
  • Topogenous Structures on Categories 

    Iragi, Minani (University of the Western Cape, 2016)
    Although the interior operators correspond to a special class of neighbourhood operators, the closure operators are not nicely related to the latter. We introduce and study the notion of topogenous orders on a category ...
  • On the method of lines for singularly perturbed partial differential equations 

    Mbroh, Nana Adjoah (University of the Western Cape, 2017)
    Many chemical and physical problems are mathematically described by partial differential equations (PDEs). These PDEs are often highly nonlinear and therefore have no closed form solutions. Thus, it is necessary to ...
  • On the numerical integration of singularly perturbed Volterra integro-differential equations 

    Iragi, Bakulikira (University of the Western Cape, 2017)
    Efficient numerical approaches for parameter dependent problems have been an inter- esting subject to numerical analysts and engineers over the past decades. This is due to the prominent role that these problems play in ...
  • Pricing European options : a model-free approach 

    Nkosi, Siboniso Confrence (University of the Western Cape, 2016)
    This paper focuses on the newly revived interest to model free approach in finance. Instead of postulating some probability measure it emerges in a form of an outer-measure. We review the behavior of a market stock price ...
  • Topogenous structures on categories 

    Iragi, Minani (University of the Western Cape, 2016)
    Although the interior operators correspond to a special class of neighbourhood operators, the closure operators are not nicely related to the latter. We introduce and study the notion of topogenous orders on a category ...
  • Meta-Cayley Graphs on Dihedral Groups 

    Allie, Imran (University of the Western Cape, 2017)
    The pursuit of graphs which are vertex-transitive and non-Cayley on groups has been ongoing for some time. There has long been evidence to suggest that such graphs are a very rarety in occurrence. Much success has been had ...
  • Character tables of some selected groups of extension type using Fischer-Clifford matrices 

    Monaledi, R.L. (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 ...
  • Do money managers outperform their respective benchmark? Evidence from South African Unit Trust industry 

    Malefo, Boikanyo Kenneth (University of the Western Cape, 2015)
    Motivated by the growing attraction of the mutual fund industries across the world, this research seeks to explore the economic benefits contributed by the South African equity unit trust managers over the period from 1 ...
  • Mathematical modeling of the population dynamics of tuberculosis 

    Adebiyi, Ayodeji O. (University of the Western Cape, 2016)
    Tuberculosis (TB) is currently one of the major public health challenges in South Africa, and in many countries. Mycobacterium tuberculosis is among the leading causes of morbidity and mortality. It is known that tuberculosis ...
  • Mathematical modelling of HIV/AIDS with recruitment of infecteds 

    Seatlhodi, Thapelo (University of the Western Cape, 2015)
    The influx of infecteds into a population plays a critical role in HIV transmission. These infecteds are known to migrate from one region to another, thereby having some interaction with a host population. This interactive ...
  • Test of the overreaction hypothesis in the South African stock market 

    Itaka, Jose Kumu (University of the Western Cape, 2014)
    This research undertakes to investigate both long-term and short-term investor overreaction on the JSE Limited (JSE) over the period from 1 January 2002 to 31 December 2009. The period covers the restructuring and reform ...
  • Investigating the difficulties of first year mainstream mathematics students at the University of the Western Cape with “related rates” problems 

    Taylor, Allen Vernon (University of the Western Cape, 2014)
    The aim of the thesis is to research the difficulties that first year mainstream mathematics students at UWC experience when solving Related Rates problems in calculus. In chapter 2, an in-depth study was made of the nature ...
  • Efficient Monte Carlo methods for pricing of electricity derivatives 

    Nobaza, Linda (University of the Western Cape, 2012)
    We discuss efficient Monte Carlo methods for pricing of electricity derivatives. Electricity derivatives are risk management tools used in deregulated electricity markets. In the past,research in electricity derivatives ...
  • Automorphism groups of some designs of steiner triple systems and the atomorphism groups of their block intersection graphs 

    Vodah, Sunday (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. 

    Smith, Duncan (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 ...
  • Mathematical model of performance measurement of defined contribution pension funds 

    Kelekele, Liloo Didier Joel (University of the Western Cape, 2015)
    The industry of pension funds has become one of the drivers of today’s economic activity by its important volume of contribution in the financial market and by creating wealth. The increasing importance that pension funds ...

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