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Theses and Dissertations (Mathematics and Applied Mathematics): Recent submissions
Now showing items 61-80 of 168
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(University of Pretoria, 2015)In this thesis, the Order Completion Method for nonlinear partial differential equation, in the setting of convergence spaces, is interpreted in terms of the algebraic theory of gen- eralised functions. In particular, ...
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(University of Pretoria, 2016)The aim of the study is to determine the extent to which secondary school learners are dependent on using calculators for performing basic calculations and operations. The purpose of the study is to obtain findings and ...
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(University of Pretoria, 2016)The classical theory of risk neutral derivative pricing relies on the underlying market model being Markovian and complete. We present the theory of stochastic di erential equations relevant to risk neutral pricing, ...
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(University of Pretoria, 2016)We prove a partial non-commutative analogue of the Furstenberg-Zimmerman Structure Theorem, originally proved by Tim Austin, Tanya Eisner and Terence Tao. In Chapter 1, we review the GNS construction for states on von ...
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(University of Pretoria, 2016)In this PhD thesis, we construct numerical methods to solve problems described by advectiondiffusion and convective Cahn-Hilliard equations. The advection-diffusion equation models a variety of physical phenomena in fluid ...
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(University of Pretoria, 2016)This thesis provides a mathematical framework for the development of efficient control strategies that satisfy the charters of Integrated Pest Management (IPM) which aims to maintain pest population at a low impact level. ...
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(University of Pretoria, 2016)In Mathematical Epidemiology disease free states are commonly represented as equilibria of dynamical systems which model the respective epidemiological processes. However, in cases when the equilibrium is zero and is related ...
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(University of Pretoria, 2016)The Brusselator model is widely used to illustrate and study basic features of models of chemical reactions involving trimolecular steps. We provide the necessary mathematical theory related to Reaction-Diffusion systems ...
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(University of Pretoria, 2015)The Compactness Theorem for graph colourings, by De Bruijn and Erd}os, can be restated as follows. If all the nite subgraphs of a graph G are homomorphic to a nite complete graph Kn, then G is also homomorphic to Kn. ...
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(University of Pretoria, 2015)This thesis consists of two main parts. The rst part concerns the existence of weak probabilistic solutions (called elsewhere martingale solutions) for a stochastic quasilinear parabolic equation of generalized polytropic ...
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(University of Pretoria, 2015)The thesis addresses two main problems. The first is that of designing reliable numerical method for approximating an SIS (susceptible-infectedsusceptible) disease transmission model with discrete time delay. This ...
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(University of Pretoria, 2015)Homogenization theory has emerged over the last decades as a fundamental tool in the study of mathematical problems arising in processes taking place in highly heterogeneous media, such as composite materials, ow through ...
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(University of Pretoria, 2015)Malaria is one of the most widespread and complex parasitic diseases in the world. According to the World Health Organization's records for the year 2013, there were 207 million malaria cases with 627,000 deaths in 2012 ...
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(University of Pretoria, 2015)The Allee e ect is characterized by a positive relationship between population density or size and the per capita population growth rate in small populations. There are several mechanisms responsible for the Allee e ects. ...
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(University of Pretoria, 2015)We design and investigate the reliability of various nonstandard nite di erence (NSFD) schemes for the SIS epidemiological model in three di erent settings. For the classical SIS model, we construct two new NSFD schemes ...
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(University of Pretoria, 2016)The purpose of this dissertation is to solve an optimal investment, consumption and life insurance problem described by jump-diffusion processes in two settings. First, we consider a problem with random parameters of a ...
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(University of Pretoria, 2015)The aim of this research study is to investigate how undergraduate mathematics can be en- hanced through research and how this enriched content can be exploited for the enrichment of academically stronger students. The ...
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(University of Pretoria, 2015)The statistical distribution of financial returns plays a key role in evaluating Value-at-Risk using parametric methods. Traditionally, when evaluating parametric Value-at-Risk, the statistical distribution of the financial ...
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(University of Pretoria, 2014)The purpose of this study is to investigate the pricing of variable annuity embedded derivatives in a Lévy process setting. This is one of the practical issues that continues to face life insurers in the management of ...
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(University of Pretoria, 2015)Nowadays, Clifford A-algebras are hot areas of research due to their applicability to di erent disci- plines; capacity to create relationship between quadratic and linear A-morphisms; and relation to tensor A-algebras. ...
Now showing items 61-80 of 168